Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,10,Mod(9,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 10, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.9");
S:= CuspForms(chi, 10);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 10 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.g (of order \(21\), degree \(12\), 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: | \(22.1465409550\) |
Analytic rank: | \(0\) |
Dimension: | \(384\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 9.9 | ||
Character | \(\chi\) | \(=\) | 43.9 |
Dual form | 43.10.g.a.24.9 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{1}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −16.1357 | − | 20.2335i | −0.713103 | − | 0.894203i | 0.284822 | − | 0.958580i | \(-0.408065\pi\) |
−0.997926 | + | 0.0643772i | \(0.979494\pi\) | |||||||
\(3\) | −257.419 | − | 38.7997i | −1.83483 | − | 0.276556i | −0.861801 | − | 0.507246i | \(-0.830664\pi\) |
−0.973027 | + | 0.230690i | \(0.925902\pi\) | |||||||
\(4\) | −35.1038 | + | 153.800i | −0.0685621 | + | 0.300390i | ||||
\(5\) | −1370.08 | − | 934.106i | −0.980351 | − | 0.668392i | −0.0366969 | − | 0.999326i | \(-0.511684\pi\) |
−0.943654 | + | 0.330935i | \(0.892636\pi\) | |||||||
\(6\) | 3368.58 | + | 5834.56i | 1.06113 | + | 1.83792i | ||||
\(7\) | 71.3754 | − | 123.626i | 0.0112359 | − | 0.0194611i | −0.860353 | − | 0.509699i | \(-0.829757\pi\) |
0.871589 | + | 0.490238i | \(0.163090\pi\) | |||||||
\(8\) | −8259.84 | + | 3977.73i | −0.712962 | + | 0.343345i | ||||
\(9\) | 45950.8 | + | 14173.9i | 2.33454 | + | 0.720110i | ||||
\(10\) | 3206.97 | + | 42794.0i | 0.101413 | + | 1.35326i | ||||
\(11\) | 5122.32 | + | 22442.3i | 0.105487 | + | 0.462169i | 0.999889 | + | 0.0149048i | \(0.00474452\pi\) |
−0.894402 | + | 0.447264i | \(0.852398\pi\) | |||||||
\(12\) | 15003.8 | − | 38229.0i | 0.208874 | − | 0.532203i | ||||
\(13\) | −614.346 | + | 8197.88i | −0.00596579 | + | 0.0796079i | −0.999392 | − | 0.0348666i | \(-0.988899\pi\) |
0.993426 | + | 0.114475i | \(0.0365184\pi\) | |||||||
\(14\) | −3653.07 | + | 550.612i | −0.0254145 | + | 0.00383063i | ||||
\(15\) | 316442. | + | 293616.i | 1.61393 | + | 1.49751i | ||||
\(16\) | 286533. | + | 137987.i | 1.09304 | + | 0.526379i | ||||
\(17\) | −149481. | + | 101914.i | −0.434076 | + | 0.295948i | −0.760575 | − | 0.649250i | \(-0.775083\pi\) |
0.326500 | + | 0.945197i | \(0.394131\pi\) | |||||||
\(18\) | −454659. | − | 1.15845e6i | −1.02084 | − | 2.60107i | ||||
\(19\) | −319162. | + | 98448.4i | −0.561849 | + | 0.173308i | −0.562655 | − | 0.826692i | \(-0.690220\pi\) |
0.000805249 | 1.00000i | \(0.499744\pi\) | ||||||||
\(20\) | 191760. | − | 177928.i | 0.267993 | − | 0.248661i | ||||
\(21\) | −23170.1 | + | 29054.3i | −0.0259980 | + | 0.0326005i | ||||
\(22\) | 371435. | − | 465765.i | 0.338050 | − | 0.423901i | ||||
\(23\) | 847527. | − | 786391.i | 0.631507 | − | 0.585953i | −0.298086 | − | 0.954539i | \(-0.596348\pi\) |
0.929594 | + | 0.368586i | \(0.120158\pi\) | |||||||
\(24\) | 2.28058e6 | − | 703465.i | 1.40312 | − | 0.432804i | ||||
\(25\) | 291013. | + | 741490.i | 0.148999 | + | 0.379643i | ||||
\(26\) | 175785. | − | 119848.i | 0.0754399 | − | 0.0514340i | ||||
\(27\) | −6.66209e6 | − | 3.20829e6i | −2.41253 | − | 1.16182i | ||||
\(28\) | 16508.1 | + | 15317.3i | 0.00507557 | + | 0.00470945i | ||||
\(29\) | −6.57910e6 | + | 991640.i | −1.72733 | + | 0.260353i | −0.936244 | − | 0.351351i | \(-0.885722\pi\) |
−0.791087 | + | 0.611704i | \(0.790484\pi\) | |||||||
\(30\) | 834860. | − | 1.11404e7i | 0.188178 | − | 2.51106i | ||||
\(31\) | −2.85498e6 | + | 7.27436e6i | −0.555233 | + | 1.41471i | 0.327508 | + | 0.944848i | \(0.393791\pi\) |
−0.882740 | + | 0.469861i | \(0.844304\pi\) | |||||||
\(32\) | −786960. | − | 3.44790e6i | −0.132672 | − | 0.581272i | ||||
\(33\) | −447827. | − | 5.97583e6i | −0.0657351 | − | 0.877174i | ||||
\(34\) | 4.47406e6 | + | 1.38006e6i | 0.574178 | + | 0.177110i | ||||
\(35\) | −213270. | + | 102705.i | −0.0240228 | + | 0.0115688i | ||||
\(36\) | −3.79299e6 | + | 6.56966e6i | −0.376375 | + | 0.651901i | ||||
\(37\) | −4.64512e6 | − | 8.04558e6i | −0.407464 | − | 0.705748i | 0.587141 | − | 0.809485i | \(-0.300253\pi\) |
−0.994605 | + | 0.103737i | \(0.966920\pi\) | |||||||
\(38\) | 7.14185e6 | + | 4.86923e6i | 0.555629 | + | 0.378821i | ||||
\(39\) | 476220. | − | 2.08646e6i | 0.0329622 | − | 0.144417i | ||||
\(40\) | 1.50323e7 | + | 2.26575e6i | 0.928442 | + | 0.139940i | ||||
\(41\) | 4.17621e6 | + | 5.23681e6i | 0.230810 | + | 0.289427i | 0.883727 | − | 0.468003i | \(-0.155026\pi\) |
−0.652917 | + | 0.757430i | \(0.726455\pi\) | |||||||
\(42\) | 961735. | 0.0476907 | ||||||||
\(43\) | 2.19983e7 | + | 4.32039e6i | 0.981255 | + | 0.192715i | ||||
\(44\) | −3.63144e6 | −0.146063 | ||||||||
\(45\) | −4.97163e7 | − | 6.23423e7i | −1.80735 | − | 2.26635i | ||||
\(46\) | −2.95869e7 | − | 4.45950e6i | −0.974291 | − | 0.146851i | ||||
\(47\) | 1.12269e7 | − | 4.91883e7i | 0.335598 | − | 1.47035i | −0.472514 | − | 0.881323i | \(-0.656653\pi\) |
0.808112 | − | 0.589029i | \(-0.200490\pi\) | |||||||
\(48\) | −6.84053e7 | − | 4.66380e7i | −1.85996 | − | 1.26810i | ||||
\(49\) | 2.01666e7 | + | 3.49296e7i | 0.499748 | + | 0.865588i | ||||
\(50\) | 1.03072e7 | − | 1.78527e7i | 0.233226 | − | 0.403960i | ||||
\(51\) | 4.24335e7 | − | 2.04349e7i | 0.878300 | − | 0.422967i | ||||
\(52\) | −1.23927e6 | − | 382263.i | −0.0235044 | − | 0.00725015i | ||||
\(53\) | 5.28163e6 | + | 7.04784e7i | 0.0919447 | + | 1.22692i | 0.832156 | + | 0.554542i | \(0.187106\pi\) |
−0.740211 | + | 0.672374i | \(0.765275\pi\) | |||||||
\(54\) | 4.25824e7 | + | 1.86565e8i | 0.681487 | + | 2.98579i | ||||
\(55\) | 1.39455e7 | − | 3.55326e7i | 0.205496 | − | 0.523594i | ||||
\(56\) | −97799.3 | + | 1.30504e6i | −0.00132889 | + | 0.0177328i | ||||
\(57\) | 8.59782e7 | − | 1.29591e7i | 1.07883 | − | 0.162607i | ||||
\(58\) | 1.26223e8 | + | 1.17117e8i | 1.46457 | + | 1.35893i | ||||
\(59\) | −9.92058e7 | − | 4.77750e7i | −1.06587 | − | 0.513295i | −0.183095 | − | 0.983095i | \(-0.558611\pi\) |
−0.882772 | + | 0.469801i | \(0.844326\pi\) | |||||||
\(60\) | −5.62664e7 | + | 3.83618e7i | −0.560490 | + | 0.382136i | ||||
\(61\) | 7.22866e7 | + | 1.84183e8i | 0.668457 | + | 1.70320i | 0.710130 | + | 0.704070i | \(0.248636\pi\) |
−0.0416727 | + | 0.999131i | \(0.513269\pi\) | |||||||
\(62\) | 1.93253e8 | − | 5.96106e7i | 1.66098 | − | 0.512343i | ||||
\(63\) | 5.03202e6 | − | 4.66903e6i | 0.0402448 | − | 0.0373417i | ||||
\(64\) | 4.44581e7 | − | 5.57487e7i | 0.331239 | − | 0.415360i | ||||
\(65\) | 8.49939e6 | − | 1.06579e7i | 0.0590578 | − | 0.0740562i | ||||
\(66\) | −1.13686e8 | + | 1.05485e8i | −0.737496 | + | 0.684296i | ||||
\(67\) | −1.28344e8 | + | 3.95890e7i | −0.778108 | + | 0.240014i | −0.658273 | − | 0.752779i | \(-0.728713\pi\) |
−0.119835 | + | 0.992794i | \(0.538237\pi\) | |||||||
\(68\) | −1.04271e7 | − | 2.65677e7i | −0.0591387 | − | 0.150683i | ||||
\(69\) | −2.48682e8 | + | 1.69548e8i | −1.32076 | + | 0.900477i | ||||
\(70\) | 5.51934e6 | + | 2.65797e6i | 0.0274755 | + | 0.0132315i | ||||
\(71\) | 5.11999e7 | + | 4.75065e7i | 0.239115 | + | 0.221866i | 0.790623 | − | 0.612303i | \(-0.209757\pi\) |
−0.551508 | + | 0.834170i | \(0.685947\pi\) | |||||||
\(72\) | −4.35926e8 | + | 6.57052e7i | −1.91169 | + | 0.288140i | ||||
\(73\) | 1.33276e7 | − | 1.77845e8i | 0.0549288 | − | 0.732973i | −0.899953 | − | 0.435987i | \(-0.856399\pi\) |
0.954882 | − | 0.296986i | \(-0.0959816\pi\) | |||||||
\(74\) | −8.78381e7 | + | 2.23808e8i | −0.340518 | + | 0.867626i | ||||
\(75\) | −4.61428e7 | − | 2.02165e8i | −0.168395 | − | 0.737786i | ||||
\(76\) | −3.93755e6 | − | 5.25429e7i | −0.0135383 | − | 0.180656i | ||||
\(77\) | 3.14006e6 | + | 968580.i | 0.0101796 | + | 0.00313998i | ||||
\(78\) | −4.99004e7 | + | 2.40308e7i | −0.152644 | + | 0.0735093i | ||||
\(79\) | 2.43588e8 | − | 4.21907e8i | 0.703613 | − | 1.21869i | −0.263576 | − | 0.964639i | \(-0.584902\pi\) |
0.967190 | − | 0.254056i | \(-0.0817646\pi\) | |||||||
\(80\) | −2.63679e8 | − | 4.56706e8i | −0.719733 | − | 1.24661i | ||||
\(81\) | 8.08436e8 | + | 5.51182e8i | 2.08671 | + | 1.42270i | ||||
\(82\) | 3.85729e7 | − | 1.68999e8i | 0.0942149 | − | 0.412783i | ||||
\(83\) | −4.94856e8 | − | 7.45875e7i | −1.14453 | − | 0.172510i | −0.450718 | − | 0.892666i | \(-0.648832\pi\) |
−0.693812 | + | 0.720156i | \(0.744070\pi\) | |||||||
\(84\) | −3.65519e6 | − | 4.58347e6i | −0.00801039 | − | 0.0100447i | ||||
\(85\) | 3.00000e8 | 0.623355 | ||||||||
\(86\) | −2.67542e8 | − | 5.14816e8i | −0.527410 | − | 1.01487i | ||||
\(87\) | 1.73206e9 | 3.24136 | ||||||||
\(88\) | −1.31579e8 | − | 1.64995e8i | −0.233892 | − | 0.293291i | ||||
\(89\) | −7.10178e8 | − | 1.07042e8i | −1.19981 | − | 0.180842i | −0.481424 | − | 0.876488i | \(-0.659880\pi\) |
−0.718385 | + | 0.695646i | \(0.755118\pi\) | |||||||
\(90\) | −4.59197e8 | + | 2.01187e9i | −0.737747 | + | 3.23228i | ||||
\(91\) | 969620. | + | 661076.i | 0.00148223 | + | 0.00101057i | ||||
\(92\) | 9.11953e7 | + | 1.57955e8i | 0.132717 | + | 0.229873i | ||||
\(93\) | 1.01717e9 | − | 1.76179e9i | 1.41000 | − | 2.44220i | ||||
\(94\) | −1.17641e9 | + | 5.66527e8i | −1.55411 | + | 0.748420i | ||||
\(95\) | 5.29239e8 | + | 1.63249e8i | 0.666647 | + | 0.205633i | ||||
\(96\) | 6.88013e7 | + | 9.18090e8i | 0.0826754 | + | 1.10323i | ||||
\(97\) | −3.06515e7 | − | 1.34293e8i | −0.0351543 | − | 0.154021i | 0.954304 | − | 0.298836i | \(-0.0965984\pi\) |
−0.989459 | + | 0.144815i | \(0.953741\pi\) | |||||||
\(98\) | 3.81346e8 | − | 9.71654e8i | 0.417640 | − | 1.06413i | ||||
\(99\) | −8.27218e7 | + | 1.10385e9i | −0.0865489 | + | 1.15491i | ||||
\(100\) | −1.24257e8 | + | 1.87287e7i | −0.124257 | + | 0.0187287i | ||||
\(101\) | −9.17160e8 | − | 8.51000e8i | −0.876998 | − | 0.813735i | 0.106564 | − | 0.994306i | \(-0.466015\pi\) |
−0.983562 | + | 0.180570i | \(0.942206\pi\) | |||||||
\(102\) | −1.09816e9 | − | 5.28847e8i | −1.00454 | − | 0.483760i | ||||
\(103\) | 5.45667e8 | − | 3.72030e8i | 0.477706 | − | 0.325694i | −0.300416 | − | 0.953808i | \(-0.597125\pi\) |
0.778121 | + | 0.628114i | \(0.216173\pi\) | |||||||
\(104\) | −2.75345e7 | − | 7.01568e7i | −0.0230796 | − | 0.0588058i | ||||
\(105\) | 5.88847e7 | − | 1.81635e7i | 0.0472771 | − | 0.0145830i | ||||
\(106\) | 1.34080e9 | − | 1.24408e9i | 1.03155 | − | 0.957135i | ||||
\(107\) | 3.56578e8 | − | 4.47135e8i | 0.262983 | − | 0.329771i | −0.632755 | − | 0.774352i | \(-0.718076\pi\) |
0.895739 | + | 0.444581i | \(0.146648\pi\) | |||||||
\(108\) | 7.27300e8 | − | 9.12005e8i | 0.514406 | − | 0.645045i | ||||
\(109\) | 4.19027e8 | − | 3.88800e8i | 0.284330 | − | 0.263820i | −0.525094 | − | 0.851044i | \(-0.675970\pi\) |
0.809424 | + | 0.587224i | \(0.199779\pi\) | |||||||
\(110\) | −9.43970e8 | + | 2.91176e8i | −0.614739 | + | 0.189622i | ||||
\(111\) | 8.83577e8 | + | 2.25132e9i | 0.552447 | + | 1.40761i | ||||
\(112\) | 3.75102e7 | − | 2.55740e7i | 0.0225252 | − | 0.0153574i | ||||
\(113\) | −5.61203e8 | − | 2.70261e8i | −0.323793 | − | 0.155930i | 0.264925 | − | 0.964269i | \(-0.414653\pi\) |
−0.588718 | + | 0.808339i | \(0.700367\pi\) | |||||||
\(114\) | −1.64953e9 | − | 1.53054e9i | −0.914718 | − | 0.848734i | ||||
\(115\) | −1.89575e9 | + | 2.85739e8i | −1.01075 | + | 0.152345i | ||||
\(116\) | 7.84374e7 | − | 1.04667e9i | 0.0402219 | − | 0.536724i | ||||
\(117\) | −1.44426e8 | + | 3.67991e8i | −0.0712539 | + | 0.181552i | ||||
\(118\) | 6.34098e8 | + | 2.77816e9i | 0.301084 | + | 1.31913i | ||||
\(119\) | 1.92998e6 | + | 2.57539e7i | 0.000882252 | + | 0.0117728i | ||||
\(120\) | −3.78169e9 | − | 1.16650e9i | −1.66483 | − | 0.513532i | ||||
\(121\) | 1.64702e9 | − | 7.93162e8i | 0.698496 | − | 0.336378i | ||||
\(122\) | 2.56028e9 | − | 4.43454e9i | 1.04633 | − | 1.81230i | ||||
\(123\) | −8.71851e8 | − | 1.51009e9i | −0.343455 | − | 0.594881i | ||||
\(124\) | −1.01857e9 | − | 6.94453e8i | −0.386897 | − | 0.263782i | ||||
\(125\) | −4.26761e8 | + | 1.86976e9i | −0.156347 | + | 0.685001i | ||||
\(126\) | −1.75666e8 | − | 2.64774e7i | −0.0620897 | − | 0.00935852i | ||||
\(127\) | −2.43848e9 | − | 3.05776e9i | −0.831768 | − | 1.04300i | −0.998375 | − | 0.0569810i | \(-0.981853\pi\) |
0.166607 | − | 0.986023i | \(-0.446719\pi\) | |||||||
\(128\) | −3.65608e9 | −1.20384 | ||||||||
\(129\) | −5.49517e9 | − | 1.96568e9i | −1.74714 | − | 0.624971i | ||||
\(130\) | −3.52790e8 | −0.108336 | ||||||||
\(131\) | 1.01470e9 | + | 1.27239e9i | 0.301034 | + | 0.377484i | 0.909224 | − | 0.416307i | \(-0.136676\pi\) |
−0.608191 | + | 0.793791i | \(0.708104\pi\) | |||||||
\(132\) | 9.34802e8 | + | 1.40899e8i | 0.268001 | + | 0.0403947i | ||||
\(133\) | −1.06095e7 | + | 4.64834e7i | −0.00294011 | + | 0.0128815i | ||||
\(134\) | 2.87195e9 | + | 1.95806e9i | 0.769493 | + | 0.524631i | ||||
\(135\) | 6.13072e9 | + | 1.06187e10i | 1.58858 | + | 2.75150i | ||||
\(136\) | 8.29300e8 | − | 1.43639e9i | 0.207867 | − | 0.360037i | ||||
\(137\) | 4.63637e9 | − | 2.23276e9i | 1.12444 | − | 0.541501i | 0.223178 | − | 0.974778i | \(-0.428357\pi\) |
0.901261 | + | 0.433277i | \(0.142643\pi\) | |||||||
\(138\) | 7.44321e9 | + | 2.29592e9i | 1.74705 | + | 0.538892i | ||||
\(139\) | 4.18883e8 | + | 5.58960e9i | 0.0951756 | + | 1.27003i | 0.816464 | + | 0.577396i | \(0.195931\pi\) |
−0.721289 | + | 0.692634i | \(0.756450\pi\) | |||||||
\(140\) | −8.30947e6 | − | 3.64062e7i | −0.00182809 | − | 0.00800938i | ||||
\(141\) | −4.79851e9 | + | 1.22264e10i | −1.02240 | + | 2.60503i | ||||
\(142\) | 1.35079e8 | − | 1.80250e9i | 0.0278798 | − | 0.372031i | ||||
\(143\) | −1.87126e8 | + | 2.82048e7i | −0.0374216 | + | 0.00564040i | ||||
\(144\) | 1.12106e10 | + | 1.04019e10i | 2.17269 | + | 2.01596i | ||||
\(145\) | 9.94020e9 | + | 4.78695e9i | 1.86741 | + | 0.899296i | ||||
\(146\) | −3.81347e9 | + | 2.59998e9i | −0.694597 | + | 0.473568i | ||||
\(147\) | −3.83602e9 | − | 9.77401e9i | −0.677568 | − | 1.72641i | ||||
\(148\) | 1.40047e9 | − | 4.31988e8i | 0.239936 | − | 0.0740105i | ||||
\(149\) | −1.43496e9 | + | 1.33145e9i | −0.238507 | + | 0.221302i | −0.790365 | − | 0.612636i | \(-0.790109\pi\) |
0.551859 | + | 0.833938i | \(0.313919\pi\) | |||||||
\(150\) | −3.34596e9 | + | 4.19570e9i | −0.539647 | + | 0.676696i | ||||
\(151\) | −1.19949e9 | + | 1.50412e9i | −0.187759 | + | 0.235443i | −0.866798 | − | 0.498660i | \(-0.833826\pi\) |
0.679038 | + | 0.734103i | \(0.262397\pi\) | |||||||
\(152\) | 2.24462e9 | − | 2.08271e9i | 0.341073 | − | 0.316470i | ||||
\(153\) | −8.31328e9 | + | 2.56431e9i | −1.22648 | + | 0.378320i | ||||
\(154\) | −3.10692e7 | − | 7.91631e7i | −0.00445130 | − | 0.0113417i | ||||
\(155\) | 1.07066e10 | − | 7.29962e9i | 1.48990 | − | 1.01580i | ||||
\(156\) | 3.04179e8 | + | 1.46485e8i | 0.0411215 | + | 0.0198031i | ||||
\(157\) | −4.60350e8 | − | 4.27143e8i | −0.0604700 | − | 0.0561080i | 0.649359 | − | 0.760482i | \(-0.275037\pi\) |
−0.709829 | + | 0.704374i | \(0.751228\pi\) | |||||||
\(158\) | −1.24671e10 | + | 1.87912e9i | −1.59151 | + | 0.239881i | ||||
\(159\) | 1.37495e9 | − | 1.83474e10i | 0.170608 | − | 2.27661i | ||||
\(160\) | −2.14250e9 | + | 5.45901e9i | −0.258453 | + | 0.658527i | ||||
\(161\) | −3.67256e7 | − | 1.60905e8i | −0.00430776 | − | 0.0188735i | ||||
\(162\) | −1.89232e9 | − | 2.52512e10i | −0.215862 | − | 2.88048i | ||||
\(163\) | 6.64358e9 | + | 2.04927e9i | 0.737154 | + | 0.227382i | 0.640524 | − | 0.767938i | \(-0.278717\pi\) |
0.0966304 | + | 0.995320i | \(0.469194\pi\) | |||||||
\(164\) | −9.52020e8 | + | 4.58469e8i | −0.102766 | + | 0.0494894i | ||||
\(165\) | −4.96850e9 | + | 8.60570e9i | −0.521852 | + | 0.903875i | ||||
\(166\) | 6.47567e9 | + | 1.12162e10i | 0.661909 | + | 1.14646i | ||||
\(167\) | −6.36050e9 | − | 4.33652e9i | −0.632801 | − | 0.431436i | 0.203979 | − | 0.978975i | \(-0.434612\pi\) |
−0.836780 | + | 0.547539i | \(0.815565\pi\) | |||||||
\(168\) | 7.58106e7 | − | 3.32148e8i | 0.00734241 | − | 0.0321692i | ||||
\(169\) | 1.04192e10 | + | 1.57045e9i | 0.982529 | + | 0.148092i | ||||
\(170\) | −4.84070e9 | − | 6.07004e9i | −0.444517 | − | 0.557406i | ||||
\(171\) | −1.60611e10 | −1.43646 | ||||||||
\(172\) | −1.43670e9 | + | 3.23168e9i | −0.125167 | + | 0.281546i | ||||
\(173\) | −9.73415e9 | −0.826210 | −0.413105 | − | 0.910683i | \(-0.635556\pi\) | ||||
−0.413105 | + | 0.910683i | \(0.635556\pi\) | |||||||
\(174\) | −2.79480e10 | − | 3.50457e10i | −2.31142 | − | 2.89843i | ||||
\(175\) | 1.12438e8 | + | 1.69474e7i | 0.00906241 | + | 0.00136594i | ||||
\(176\) | −1.62904e9 | + | 7.13729e9i | −0.127975 | + | 0.560694i | ||||
\(177\) | 2.36838e10 | + | 1.61474e10i | 1.81373 | + | 1.23658i | ||||
\(178\) | 9.29337e9 | + | 1.60966e10i | 0.693878 | + | 1.20183i | ||||
\(179\) | 1.33978e10 | − | 2.32057e10i | 0.975429 | − | 1.68949i | 0.296916 | − | 0.954904i | \(-0.404042\pi\) |
0.678513 | − | 0.734589i | \(-0.262625\pi\) | |||||||
\(180\) | 1.13335e10 | − | 5.45791e9i | 0.804705 | − | 0.387525i | ||||
\(181\) | 2.28730e10 | + | 7.05538e9i | 1.58405 | + | 0.488615i | 0.956933 | − | 0.290309i | \(-0.0937579\pi\) |
0.627119 | + | 0.778924i | \(0.284234\pi\) | |||||||
\(182\) | −2.26960e6 | − | 3.02857e7i | −0.000153330 | − | 0.00204605i | ||||
\(183\) | −1.14617e10 | − | 5.02171e10i | −0.755474 | − | 3.30995i | ||||
\(184\) | −3.87239e9 | + | 9.86669e9i | −0.249057 | + | 0.634587i | ||||
\(185\) | −1.15123e9 | + | 1.53621e10i | −0.0722587 | + | 0.964226i | ||||
\(186\) | −5.20599e10 | + | 7.84677e9i | −3.18930 | + | 0.480709i | ||||
\(187\) | −3.05288e9 | − | 2.83266e9i | −0.182567 | − | 0.169398i | ||||
\(188\) | 7.17104e9 | + | 3.45339e9i | 0.418670 | + | 0.201621i | ||||
\(189\) | −8.72137e8 | + | 5.94613e8i | −0.0497172 | + | 0.0338966i | ||||
\(190\) | −5.23654e9 | − | 1.33425e10i | −0.291510 | − | 0.742755i | ||||
\(191\) | 7.80413e9 | − | 2.40726e9i | 0.424301 | − | 0.130880i | −0.0752485 | − | 0.997165i | \(-0.523975\pi\) |
0.499550 | + | 0.866285i | \(0.333499\pi\) | |||||||
\(192\) | −1.36074e10 | + | 1.26258e10i | −0.722637 | + | 0.670509i | ||||
\(193\) | −1.65031e10 | + | 2.06942e10i | −0.856165 | + | 1.07360i | 0.140343 | + | 0.990103i | \(0.455180\pi\) |
−0.996508 | + | 0.0834945i | \(0.973392\pi\) | |||||||
\(194\) | −2.22263e9 | + | 2.78709e9i | −0.112657 | + | 0.141268i | ||||
\(195\) | −2.60143e9 | + | 2.41377e9i | −0.128842 | + | 0.119548i | ||||
\(196\) | −6.08009e9 | + | 1.87546e9i | −0.294278 | + | 0.0907727i | ||||
\(197\) | −1.37602e9 | − | 3.50604e9i | −0.0650918 | − | 0.165851i | 0.894627 | − | 0.446814i | \(-0.147441\pi\) |
−0.959719 | + | 0.280963i | \(0.909346\pi\) | |||||||
\(198\) | 2.36694e10 | − | 1.61375e10i | 1.09445 | − | 0.746181i | ||||
\(199\) | 3.17570e10 | + | 1.52934e10i | 1.43549 | + | 0.691297i | 0.980010 | − | 0.198948i | \(-0.0637526\pi\) |
0.455482 | + | 0.890245i | \(0.349467\pi\) | |||||||
\(200\) | −5.35317e9 | − | 4.96701e9i | −0.236579 | − | 0.219513i | ||||
\(201\) | 3.45743e10 | − | 5.21124e9i | 1.49407 | − | 0.225195i | ||||
\(202\) | −2.41971e9 | + | 3.22888e10i | −0.102255 | + | 1.36449i | ||||
\(203\) | −3.46994e8 | + | 8.84125e8i | −0.0143413 | + | 0.0365411i | ||||
\(204\) | 1.65331e9 | + | 7.24361e9i | 0.0668371 | + | 0.292832i | ||||
\(205\) | −8.30022e8 | − | 1.10759e10i | −0.0328244 | − | 0.438012i | ||||
\(206\) | −1.63322e10 | − | 5.03781e9i | −0.631890 | − | 0.194912i | ||||
\(207\) | 5.00908e10 | − | 2.41224e10i | 1.89623 | − | 0.913177i | ||||
\(208\) | −1.30723e9 | + | 2.26419e9i | −0.0484248 | + | 0.0838742i | ||||
\(209\) | −3.84426e9 | − | 6.65845e9i | −0.139365 | − | 0.241388i | ||||
\(210\) | −1.31766e9 | − | 8.98363e8i | −0.0467536 | − | 0.0318761i | ||||
\(211\) | 6.62081e9 | − | 2.90077e10i | 0.229954 | − | 1.00749i | −0.719723 | − | 0.694261i | \(-0.755731\pi\) |
0.949677 | − | 0.313231i | \(-0.101412\pi\) | |||||||
\(212\) | −1.10250e10 | − | 1.66175e9i | −0.374858 | − | 0.0565007i | ||||
\(213\) | −1.13366e10 | − | 1.42156e10i | −0.377376 | − | 0.473215i | ||||
\(214\) | −1.48008e10 | −0.482416 | ||||||||
\(215\) | −2.61038e10 | − | 2.64681e10i | −0.833165 | − | 0.844791i | ||||
\(216\) | 6.77895e10 | 2.11895 | ||||||||
\(217\) | 6.95524e8 | + | 8.72159e8i | 0.0212933 | + | 0.0267010i | ||||
\(218\) | −1.46281e10 | − | 2.20483e9i | −0.438665 | − | 0.0661181i | ||||
\(219\) | −1.03311e10 | + | 4.52636e10i | −0.303493 | + | 1.32969i | ||||
\(220\) | 4.97537e9 | + | 3.39215e9i | 0.143193 | + | 0.0976276i | ||||
\(221\) | −7.43648e8 | − | 1.28804e9i | −0.0209702 | − | 0.0363214i | ||||
\(222\) | 3.12949e10 | − | 5.42044e10i | 0.864740 | − | 1.49777i | ||||
\(223\) | −5.82685e10 | + | 2.80606e10i | −1.57784 | + | 0.759845i | −0.998474 | − | 0.0552253i | \(-0.982412\pi\) |
−0.579361 | + | 0.815071i | \(0.696698\pi\) | |||||||
\(224\) | −4.82419e8 | − | 1.48806e8i | −0.0128029 | − | 0.00394917i | ||||
\(225\) | 2.86246e9 | + | 3.81968e10i | 0.0744590 | + | 0.993587i | ||||
\(226\) | 3.58706e9 | + | 1.57160e10i | 0.0914642 | + | 0.400731i | ||||
\(227\) | 2.20476e10 | − | 5.61762e10i | 0.551117 | − | 1.40422i | −0.335641 | − | 0.941990i | \(-0.608953\pi\) |
0.886758 | − | 0.462234i | \(-0.152952\pi\) | |||||||
\(228\) | −1.02505e9 | + | 1.36783e10i | −0.0251211 | + | 0.335218i | ||||
\(229\) | −6.36078e10 | + | 9.58733e9i | −1.52845 | + | 0.230376i | −0.858803 | − | 0.512306i | \(-0.828791\pi\) |
−0.669644 | + | 0.742682i | \(0.733553\pi\) | |||||||
\(230\) | 3.63708e10 | + | 3.37472e10i | 0.856993 | + | 0.795173i | ||||
\(231\) | −7.70731e8 | − | 3.71165e8i | −0.0178094 | − | 0.00857655i | ||||
\(232\) | 5.03978e10 | − | 3.43606e10i | 1.14213 | − | 0.778691i | ||||
\(233\) | 2.41510e10 | + | 6.15358e10i | 0.536827 | + | 1.36781i | 0.899918 | + | 0.436059i | \(0.143626\pi\) |
−0.363091 | + | 0.931754i | \(0.618279\pi\) | |||||||
\(234\) | 9.77616e9 | − | 3.01554e9i | 0.213156 | − | 0.0657498i | ||||
\(235\) | −6.13288e10 | + | 5.69048e10i | −1.31177 | + | 1.21715i | ||||
\(236\) | 1.08303e10 | − | 1.35807e10i | 0.227267 | − | 0.284983i | ||||
\(237\) | −7.90741e10 | + | 9.91558e10i | −1.62805 | + | 2.04151i | ||||
\(238\) | 4.89949e8 | − | 4.54606e8i | 0.00989817 | − | 0.00918416i | ||||
\(239\) | 3.06921e10 | − | 9.46726e9i | 0.608466 | − | 0.187687i | 0.0248157 | − | 0.999692i | \(-0.492100\pi\) |
0.583650 | + | 0.812005i | \(0.301624\pi\) | |||||||
\(240\) | 5.01561e10 | + | 1.27796e11i | 0.975828 | + | 2.48637i | ||||
\(241\) | 3.30486e10 | − | 2.25321e10i | 0.631067 | − | 0.430254i | −0.205091 | − | 0.978743i | \(-0.565749\pi\) |
0.836158 | + | 0.548489i | \(0.184797\pi\) | |||||||
\(242\) | −4.26242e10 | − | 2.05267e10i | −0.798890 | − | 0.384725i | ||||
\(243\) | −8.00306e10 | − | 7.42575e10i | −1.47241 | − | 1.36619i | ||||
\(244\) | −3.08649e10 | + | 4.65213e9i | −0.557456 | + | 0.0840230i | ||||
\(245\) | 4.99804e9 | − | 6.66942e10i | 0.0886241 | − | 1.18261i | ||||
\(246\) | −1.64865e10 | + | 4.20070e10i | −0.287026 | + | 0.731330i | ||||
\(247\) | −6.10992e8 | − | 2.67693e9i | −0.0104448 | − | 0.0457616i | ||||
\(248\) | −5.35379e9 | − | 7.14414e10i | −0.0898729 | − | 1.19927i | ||||
\(249\) | 1.24491e11 | + | 3.84005e10i | 2.05231 | + | 0.633053i | ||||
\(250\) | 4.47179e10 | − | 2.15350e10i | 0.724022 | − | 0.348670i | ||||
\(251\) | 1.43002e10 | − | 2.47686e10i | 0.227410 | − | 0.393886i | −0.729630 | − | 0.683842i | \(-0.760308\pi\) |
0.957040 | + | 0.289957i | \(0.0936409\pi\) | |||||||
\(252\) | 5.41453e8 | + | 9.37824e8i | 0.00845781 | + | 0.0146494i | ||||
\(253\) | 2.19897e10 | + | 1.49923e10i | 0.337425 | + | 0.230053i | ||||
\(254\) | −2.25226e10 | + | 9.86780e10i | −0.339521 | + | 1.48754i | ||||
\(255\) | −7.72257e10 | − | 1.16399e10i | −1.14375 | − | 0.172393i | ||||
\(256\) | 3.62307e10 | + | 4.54319e10i | 0.527227 | + | 0.661121i | ||||
\(257\) | 1.78358e10 | 0.255031 | 0.127515 | − | 0.991837i | \(-0.459300\pi\) | ||||
0.127515 | + | 0.991837i | \(0.459300\pi\) | |||||||
\(258\) | 4.88956e10 | + | 1.42904e11i | 0.687039 | + | 2.00796i | ||||
\(259\) | −1.32619e9 | −0.0183129 | ||||||||
\(260\) | 1.34082e9 | + | 1.68134e9i | 0.0181966 | + | 0.0228178i | ||||
\(261\) | −3.16370e11 | − | 4.76851e10i | −4.22001 | − | 0.636064i | ||||
\(262\) | 9.37207e9 | − | 4.10617e10i | 0.122880 | − | 0.538370i | ||||
\(263\) | −1.10299e10 | − | 7.52002e9i | −0.142157 | − | 0.0969211i | 0.490153 | − | 0.871636i | \(-0.336941\pi\) |
−0.632310 | + | 0.774715i | \(0.717893\pi\) | |||||||
\(264\) | 2.74692e10 | + | 4.75781e10i | 0.348040 | + | 0.602822i | ||||
\(265\) | 5.85981e10 | − | 1.01495e11i | 0.729923 | − | 1.26426i | ||||
\(266\) | 1.11172e9 | − | 5.35374e8i | 0.0136153 | − | 0.00655677i | ||||
\(267\) | 1.78660e11 | + | 5.51094e10i | 2.15143 | + | 0.663628i | ||||
\(268\) | −1.58340e9 | − | 2.11290e10i | −0.0187493 | − | 0.250192i | ||||
\(269\) | 2.61301e10 | + | 1.14483e11i | 0.304267 | + | 1.33308i | 0.863616 | + | 0.504150i | \(0.168194\pi\) |
−0.559349 | + | 0.828932i | \(0.688949\pi\) | |||||||
\(270\) | 1.15931e11 | − | 2.95386e11i | 1.32758 | − | 3.38262i | ||||
\(271\) | 4.52549e9 | − | 6.03884e10i | 0.0509687 | − | 0.680130i | −0.911944 | − | 0.410315i | \(-0.865419\pi\) |
0.962912 | − | 0.269814i | \(-0.0869623\pi\) | |||||||
\(272\) | −5.68941e10 | + | 8.57540e9i | −0.630242 | + | 0.0949936i | ||||
\(273\) | −2.23949e8 | − | 2.07795e8i | −0.00244016 | − | 0.00226414i | ||||
\(274\) | −1.19988e11 | − | 5.77830e10i | −1.28605 | − | 0.619330i | ||||
\(275\) | −1.51501e10 | + | 1.03292e10i | −0.159742 | + | 0.108910i | ||||
\(276\) | −1.73468e10 | − | 4.41990e10i | −0.179941 | − | 0.458481i | ||||
\(277\) | −5.54003e10 | + | 1.70887e10i | −0.565396 | + | 0.174402i | −0.564259 | − | 0.825598i | \(-0.690838\pi\) |
−0.00113707 | + | 0.999999i | \(0.500362\pi\) | |||||||
\(278\) | 1.06338e11 | − | 9.86675e10i | 1.06779 | − | 0.990769i | ||||
\(279\) | −2.34295e11 | + | 2.93796e11i | −2.31496 | + | 2.90287i | ||||
\(280\) | 1.35304e9 | − | 1.69666e9i | 0.0131553 | − | 0.0164962i | ||||
\(281\) | −4.43047e10 | + | 4.11087e10i | −0.423907 | + | 0.393329i | −0.863074 | − | 0.505077i | \(-0.831464\pi\) |
0.439167 | + | 0.898405i | \(0.355274\pi\) | |||||||
\(282\) | 3.24811e11 | − | 1.00191e11i | 3.05850 | − | 0.943424i | ||||
\(283\) | −5.44396e10 | − | 1.38710e11i | −0.504518 | − | 1.28549i | −0.925612 | − | 0.378473i | \(-0.876449\pi\) |
0.421095 | − | 0.907017i | \(-0.361646\pi\) | |||||||
\(284\) | −9.10381e9 | + | 6.20687e9i | −0.0830406 | + | 0.0566161i | ||||
\(285\) | −1.29902e11 | − | 6.25577e10i | −1.16631 | − | 0.561667i | ||||
\(286\) | 3.59009e9 | + | 3.33112e9i | 0.0317292 | + | 0.0294404i | ||||
\(287\) | 9.45483e8 | − | 1.42509e8i | 0.00822593 | − | 0.00123986i | ||||
\(288\) | 1.27089e10 | − | 1.69588e11i | 0.108853 | − | 1.45254i | ||||
\(289\) | −3.13670e10 | + | 7.99219e10i | −0.264504 | + | 0.673946i | ||||
\(290\) | −6.35352e10 | − | 2.78366e11i | −0.527501 | − | 2.31113i | ||||
\(291\) | 2.67975e9 | + | 3.57588e10i | 0.0219067 | + | 0.292324i | ||||
\(292\) | 2.68846e10 | + | 8.29281e9i | 0.216412 | + | 0.0667543i | ||||
\(293\) | 1.42859e11 | − | 6.87972e10i | 1.13241 | − | 0.545339i | 0.228704 | − | 0.973496i | \(-0.426551\pi\) |
0.903705 | + | 0.428157i | \(0.140837\pi\) | |||||||
\(294\) | −1.35866e11 | + | 2.35326e11i | −1.06059 | + | 1.83699i | ||||
\(295\) | 9.12932e10 | + | 1.58124e11i | 0.701842 | + | 1.21563i | ||||
\(296\) | 7.03710e10 | + | 4.79782e10i | 0.532821 | + | 0.363271i | ||||
\(297\) | 3.78763e10 | − | 1.65947e11i | 0.282464 | − | 1.23756i | ||||
\(298\) | 5.00939e10 | + | 7.55043e9i | 0.367969 | + | 0.0554624i | ||||
\(299\) | 5.92606e9 | + | 7.43104e9i | 0.0428791 | + | 0.0537687i | ||||
\(300\) | 3.27127e10 | 0.233169 | ||||||||
\(301\) | 2.10425e9 | − | 2.41119e9i | 0.0147757 | − | 0.0169310i | ||||
\(302\) | 4.97882e10 | 0.344426 | ||||||||
\(303\) | 2.03076e11 | + | 2.54649e11i | 1.38410 | + | 1.73560i | ||||
\(304\) | −1.05035e11 | − | 1.58315e10i | −0.705348 | − | 0.106314i | ||||
\(305\) | 7.30081e10 | − | 3.19870e11i | 0.483083 | − | 2.11653i | ||||
\(306\) | 1.86025e11 | + | 1.26830e11i | 1.21290 | + | 0.826943i | ||||
\(307\) | 2.98403e10 | + | 5.16850e10i | 0.191726 | + | 0.332079i | 0.945822 | − | 0.324685i | \(-0.105258\pi\) |
−0.754096 | + | 0.656764i | \(0.771925\pi\) | |||||||
\(308\) | −2.59195e8 | + | 4.48939e8i | −0.00164115 | + | 0.00284256i | ||||
\(309\) | −1.54900e11 | + | 7.45959e10i | −0.966580 | + | 0.465481i | ||||
\(310\) | −3.20455e11 | − | 9.88472e10i | −1.97078 | − | 0.607907i | ||||
\(311\) | −1.88414e10 | − | 2.51421e11i | −0.114207 | − | 1.52398i | −0.700363 | − | 0.713786i | \(-0.746979\pi\) |
0.586157 | − | 0.810198i | \(-0.300640\pi\) | |||||||
\(312\) | 4.36585e9 | + | 1.91281e10i | 0.0260840 | + | 0.114281i | ||||
\(313\) | 7.79629e9 | − | 1.98646e10i | 0.0459133 | − | 0.116985i | −0.906078 | − | 0.423112i | \(-0.860938\pi\) |
0.951991 | + | 0.306126i | \(0.0990330\pi\) | |||||||
\(314\) | −1.21453e9 | + | 1.62067e10i | −0.00705056 | + | 0.0940832i | ||||
\(315\) | −1.12556e10 | + | 1.69651e9i | −0.0644129 | + | 0.00970868i | ||||
\(316\) | 5.63383e10 | + | 5.22743e10i | 0.317843 | + | 0.294915i | ||||
\(317\) | 2.04596e11 | + | 9.85284e10i | 1.13797 | + | 0.548018i | 0.905399 | − | 0.424562i | \(-0.139572\pi\) |
0.232571 | + | 0.972579i | \(0.425286\pi\) | |||||||
\(318\) | −3.93419e11 | + | 2.68228e11i | −2.15741 | + | 1.47090i | ||||
\(319\) | −5.59549e10 | − | 1.42571e11i | −0.302538 | − | 0.770855i | ||||
\(320\) | −1.12986e11 | + | 3.48517e10i | −0.602353 | + | 0.185801i | ||||
\(321\) | −1.09139e11 | + | 1.01266e11i | −0.573729 | + | 0.532343i | ||||
\(322\) | −2.66308e9 | + | 3.33940e9i | −0.0138049 | + | 0.0173108i | ||||
\(323\) | 3.76753e10 | − | 4.72433e10i | 0.192595 | − | 0.241507i | ||||
\(324\) | −1.13151e11 | + | 1.04989e11i | −0.570434 | + | 0.529285i | ||||
\(325\) | −6.25742e9 | + | 1.93016e9i | −0.0311115 | + | 0.00959661i | ||||
\(326\) | −6.57348e10 | − | 1.67489e11i | −0.322341 | − | 0.821312i | ||||
\(327\) | −1.22951e11 | + | 8.38266e10i | −0.594658 | + | 0.405431i | ||||
\(328\) | −5.53254e10 | − | 2.66433e10i | −0.263932 | − | 0.127103i | ||||
\(329\) | −5.27962e9 | − | 4.89877e9i | −0.0248440 | − | 0.0230518i | ||||
\(330\) | 2.54294e11 | − | 3.83286e10i | 1.18038 | − | 0.177914i | ||||
\(331\) | 8.96519e9 | − | 1.19632e11i | 0.0410519 | − | 0.547800i | −0.938325 | − | 0.345756i | \(-0.887623\pi\) |
0.979376 | − | 0.202044i | \(-0.0647584\pi\) | |||||||
\(332\) | 2.88429e10 | − | 7.34904e10i | 0.130292 | − | 0.331978i | ||||
\(333\) | −9.94092e10 | − | 4.35540e11i | −0.443024 | − | 1.94102i | ||||
\(334\) | 1.48881e10 | + | 1.98668e11i | 0.0654606 | + | 0.873511i | ||||
\(335\) | 2.12822e11 | + | 6.56470e10i | 0.923242 | + | 0.284782i | ||||
\(336\) | −1.06481e10 | + | 5.12786e9i | −0.0455770 | + | 0.0219487i | ||||
\(337\) | −1.17155e11 | + | 2.02918e11i | −0.494796 | + | 0.857011i | −0.999982 | − | 0.00599898i | \(-0.998090\pi\) |
0.505186 | + | 0.863010i | \(0.331424\pi\) | |||||||
\(338\) | −1.36346e11 | − | 2.36158e11i | −0.568220 | − | 0.984186i | ||||
\(339\) | 1.33978e11 | + | 9.13450e10i | 0.550981 | + | 0.375652i | ||||
\(340\) | −1.05311e10 | + | 4.61399e10i | −0.0427385 | + | 0.187250i | ||||
\(341\) | −1.77878e11 | − | 2.68108e10i | −0.712405 | − | 0.107378i | ||||
\(342\) | 2.59157e11 | + | 3.24973e11i | 1.02434 | + | 1.28449i | ||||
\(343\) | 1.15181e10 | 0.0449322 | ||||||||
\(344\) | −1.98888e11 | + | 5.18177e10i | −0.765765 | + | 0.199510i | ||||
\(345\) | 4.99090e11 | 1.89668 | ||||||||
\(346\) | 1.57067e11 | + | 1.96956e11i | 0.589173 | + | 0.738800i | ||||
\(347\) | 1.69683e11 | + | 2.55757e10i | 0.628285 | + | 0.0946988i | 0.455464 | − | 0.890254i | \(-0.349473\pi\) |
0.172822 | + | 0.984953i | \(0.444712\pi\) | |||||||
\(348\) | −6.08020e10 | + | 2.66391e11i | −0.222234 | + | 0.973672i | ||||
\(349\) | −1.61530e10 | − | 1.10130e10i | −0.0582827 | − | 0.0397365i | 0.533828 | − | 0.845593i | \(-0.320753\pi\) |
−0.592111 | + | 0.805856i | \(0.701705\pi\) | |||||||
\(350\) | −1.47137e9 | − | 2.54848e9i | −0.00524100 | − | 0.00907769i | ||||
\(351\) | 3.03940e10 | − | 5.26440e10i | 0.106882 | − | 0.185126i | ||||
\(352\) | 7.33478e10 | − | 3.53224e10i | 0.254651 | − | 0.122633i | ||||
\(353\) | 9.51610e10 | + | 2.93533e10i | 0.326192 | + | 0.100617i | 0.453526 | − | 0.891243i | \(-0.350166\pi\) |
−0.127334 | + | 0.991860i | \(0.540642\pi\) | |||||||
\(354\) | −5.54370e10 | − | 7.39756e11i | −0.187623 | − | 2.50365i | ||||
\(355\) | −2.57719e10 | − | 1.12914e11i | −0.0861229 | − | 0.377329i | ||||
\(356\) | 4.13930e10 | − | 1.05468e11i | 0.136585 | − | 0.348012i | ||||
\(357\) | 5.02427e8 | − | 6.70442e9i | 0.00163707 | − | 0.0218451i | ||||
\(358\) | −6.85716e11 | + | 1.03355e11i | −2.20633 | + | 0.332551i | ||||
\(359\) | −1.82309e11 | − | 1.69158e11i | −0.579274 | − | 0.537488i | 0.335192 | − | 0.942150i | \(-0.391199\pi\) |
−0.914466 | + | 0.404662i | \(0.867389\pi\) | |||||||
\(360\) | 6.58630e11 | + | 3.17179e11i | 2.06671 | + | 0.995276i | ||||
\(361\) | −1.74445e11 | + | 1.18934e11i | −0.540600 | + | 0.368575i | ||||
\(362\) | −2.26316e11 | − | 5.76644e11i | −0.692671 | − | 1.76490i | ||||
\(363\) | −4.54749e11 | + | 1.40271e11i | −1.37465 | + | 0.424023i | ||||
\(364\) | −1.35711e8 | + | 1.25921e8i | −0.000405189 | + | 0.000375960i | ||||
\(365\) | −1.84386e11 | + | 2.31212e11i | −0.543763 | + | 0.681857i | ||||
\(366\) | −8.31125e11 | + | 1.04220e12i | −2.42104 | + | 3.03588i | ||||
\(367\) | 1.13309e11 | − | 1.05135e11i | 0.326036 | − | 0.302517i | −0.500123 | − | 0.865955i | \(-0.666712\pi\) |
0.826159 | + | 0.563437i | \(0.190521\pi\) | |||||||
\(368\) | 3.51357e11 | − | 1.08379e11i | 0.998695 | − | 0.308057i | ||||
\(369\) | 1.17674e11 | + | 2.99829e11i | 0.330417 | + | 0.841888i | ||||
\(370\) | 3.29406e11 | − | 2.24585e11i | 0.913741 | − | 0.622978i | ||||
\(371\) | 9.08993e9 | + | 4.37748e9i | 0.0249102 | + | 0.0119961i | ||||
\(372\) | 2.35256e11 | + | 2.18286e11i | 0.636939 | + | 0.590993i | ||||
\(373\) | 3.72815e11 | − | 5.61929e10i | 0.997250 | − | 0.150311i | 0.369919 | − | 0.929064i | \(-0.379385\pi\) |
0.627331 | + | 0.778753i | \(0.284147\pi\) | |||||||
\(374\) | −8.05432e9 | + | 1.07477e11i | −0.0212866 | + | 0.284050i | ||||
\(375\) | 1.82403e11 | − | 4.64755e11i | 0.476311 | − | 1.21362i | ||||
\(376\) | 1.02925e11 | + | 4.50945e11i | 0.265568 | + | 1.16353i | ||||
\(377\) | −4.08750e9 | − | 5.45439e10i | −0.0104213 | − | 0.139062i | ||||
\(378\) | 2.61036e10 | + | 8.05190e9i | 0.0657639 | + | 0.0202855i | ||||
\(379\) | 2.26378e11 | − | 1.09018e11i | 0.563583 | − | 0.271407i | −0.130324 | − | 0.991471i | \(-0.541602\pi\) |
0.693908 | + | 0.720064i | \(0.255888\pi\) | |||||||
\(380\) | −4.36859e10 | + | 7.56662e10i | −0.107477 | + | 0.186155i | ||||
\(381\) | 5.09072e11 | + | 8.81738e11i | 1.23770 | + | 2.14376i | ||||
\(382\) | −1.74632e11 | − | 1.19062e11i | −0.419604 | − | 0.286081i | ||||
\(383\) | −1.34459e11 | + | 5.89102e11i | −0.319296 | + | 1.39893i | 0.519494 | + | 0.854474i | \(0.326121\pi\) |
−0.838790 | + | 0.544455i | \(0.816737\pi\) | |||||||
\(384\) | 9.41145e11 | + | 1.41855e11i | 2.20885 | + | 0.332930i | ||||
\(385\) | −3.39738e9 | − | 4.26018e9i | −0.00788081 | − | 0.00988222i | ||||
\(386\) | 6.85006e11 | 1.57055 | ||||||||
\(387\) | 9.49603e11 | + | 5.10328e11i | 2.15200 | + | 1.15651i | ||||
\(388\) | 2.17302e10 | 0.0486767 | ||||||||
\(389\) | −9.21103e10 | − | 1.15503e11i | −0.203955 | − | 0.255752i | 0.669325 | − | 0.742969i | \(-0.266583\pi\) |
−0.873281 | + | 0.487218i | \(0.838012\pi\) | |||||||
\(390\) | 9.08150e10 | + | 1.36882e10i | 0.198777 | + | 0.0299609i | ||||
\(391\) | −4.65447e10 | + | 2.03925e11i | −0.100710 | + | 0.441241i | ||||
\(392\) | −3.05513e11 | − | 2.08296e11i | −0.653496 | − | 0.445546i | ||||
\(393\) | −2.11834e11 | − | 3.66907e11i | −0.447950 | − | 0.775872i | ||||
\(394\) | −4.87365e10 | + | 8.44140e10i | −0.101888 | + | 0.176474i | ||||
\(395\) | −7.27841e11 | + | 3.50510e11i | −1.50435 | + | 0.724458i | ||||
\(396\) | −1.66867e11 | − | 5.14718e10i | −0.340991 | − | 0.105182i | ||||
\(397\) | 8.68613e9 | + | 1.15908e11i | 0.0175497 | + | 0.234184i | 0.999080 | + | 0.0428789i | \(0.0136530\pi\) |
−0.981531 | + | 0.191305i | \(0.938728\pi\) | |||||||
\(398\) | −2.02983e11 | − | 8.89325e11i | −0.405494 | − | 1.77659i | ||||
\(399\) | 4.53465e9 | − | 1.15541e10i | 0.00895706 | − | 0.0228222i | ||||
\(400\) | −1.89311e10 | + | 2.52618e11i | −0.0369747 | + | 0.493394i | ||||
\(401\) | 3.51008e10 | − | 5.29060e9i | 0.0677904 | − | 0.0102178i | −0.115060 | − | 0.993359i | \(-0.536706\pi\) |
0.182850 | + | 0.983141i | \(0.441468\pi\) | |||||||
\(402\) | −6.63322e11 | − | 6.15473e11i | −1.26680 | − | 1.17542i | ||||
\(403\) | −5.78804e10 | − | 2.78737e10i | −0.109310 | − | 0.0526408i | ||||
\(404\) | 1.63079e11 | − | 1.11186e11i | 0.304567 | − | 0.207650i | ||||
\(405\) | −5.92761e11 | − | 1.51033e12i | −1.09479 | − | 2.78949i | ||||
\(406\) | 2.34879e10 | − | 7.24507e9i | 0.0429020 | − | 0.0132335i | ||||
\(407\) | 1.56768e11 | − | 1.45459e11i | 0.283193 | − | 0.262764i | ||||
\(408\) | −2.69209e11 | + | 3.37578e11i | −0.480972 | + | 0.603119i | ||||
\(409\) | 5.11162e11 | − | 6.40977e11i | 0.903241 | − | 1.13263i | −0.0874049 | − | 0.996173i | \(-0.527857\pi\) |
0.990646 | − | 0.136456i | \(-0.0435712\pi\) | |||||||
\(410\) | −2.10711e11 | + | 1.95511e11i | −0.368264 | + | 0.341699i | ||||
\(411\) | −1.28012e12 | + | 3.94865e11i | −2.21291 | + | 0.682592i | ||||
\(412\) | 3.80631e10 | + | 9.69831e10i | 0.0650828 | + | 0.165828i | ||||
\(413\) | −1.29871e10 | + | 8.85444e9i | −0.0219652 | + | 0.0149757i | ||||
\(414\) | −1.29633e12 | − | 6.24280e11i | −2.16877 | − | 1.04443i | ||||
\(415\) | 6.08320e11 | + | 5.64438e11i | 1.00674 | + | 0.934115i | ||||
\(416\) | 2.87489e10 | − | 4.33320e9i | 0.0470654 | − | 0.00709396i | ||||
\(417\) | 1.09046e11 | − | 1.45512e12i | 0.176603 | − | 2.35661i | ||||
\(418\) | −7.26941e10 | + | 1.85222e11i | −0.116468 | + | 0.296755i | ||||
\(419\) | 3.34197e10 | + | 1.46421e11i | 0.0529712 | + | 0.232082i | 0.994483 | − | 0.104898i | \(-0.0334516\pi\) |
−0.941512 | + | 0.336980i | \(0.890594\pi\) | |||||||
\(420\) | 7.26469e8 | + | 9.69406e9i | 0.00113919 | + | 0.0152014i | ||||
\(421\) | −5.26026e11 | − | 1.62258e11i | −0.816090 | − | 0.251730i | −0.141514 | − | 0.989936i | \(-0.545197\pi\) |
−0.674575 | + | 0.738206i | \(0.735673\pi\) | |||||||
\(422\) | −6.93758e11 | + | 3.34096e11i | −1.06488 | + | 0.512821i | ||||
\(423\) | 1.21308e12 | − | 2.10111e12i | 1.84228 | − | 3.19093i | ||||
\(424\) | −3.23969e11 | − | 5.61132e11i | −0.486808 | − | 0.843176i | ||||
\(425\) | −1.19069e11 | − | 8.11801e10i | −0.177031 | − | 0.120698i | ||||
\(426\) | −1.04709e11 | + | 4.58758e11i | −0.154042 | + | 0.674902i | ||||
\(427\) | 2.79293e10 | + | 4.20966e9i | 0.0406569 | + | 0.00612805i | ||||
\(428\) | 5.62521e10 | + | 7.05378e10i | 0.0810292 | + | 0.101607i | ||||
\(429\) | 4.92643e10 | 0.0702222 | ||||||||
\(430\) | −1.14339e11 | + | 9.55252e11i | −0.161282 | + | 1.34744i | ||||
\(431\) | 3.59741e11 | 0.502160 | 0.251080 | − | 0.967966i | \(-0.419214\pi\) | ||||
0.251080 | + | 0.967966i | \(0.419214\pi\) | |||||||
\(432\) | −1.46621e12 | − | 1.83857e12i | −2.02544 | − | 2.53982i | ||||
\(433\) | −3.82717e11 | − | 5.76852e10i | −0.523217 | − | 0.0788623i | −0.117877 | − | 0.993028i | \(-0.537609\pi\) |
−0.405340 | + | 0.914166i | \(0.632847\pi\) | |||||||
\(434\) | 6.42409e9 | − | 2.81458e10i | 0.00869176 | − | 0.0380811i | ||||
\(435\) | −2.37307e12 | − | 1.61793e12i | −3.17767 | − | 2.16650i | ||||
\(436\) | 4.50879e10 | + | 7.80946e10i | 0.0597546 | + | 0.103498i | ||||
\(437\) | −1.93080e11 | + | 3.34424e11i | −0.253262 | + | 0.438662i | ||||
\(438\) | 1.08254e12 | − | 5.21324e11i | 1.40543 | − | 0.676822i | ||||
\(439\) | 1.48255e12 | + | 4.57307e11i | 1.90511 | + | 0.587648i | 0.975963 | + | 0.217937i | \(0.0699326\pi\) |
0.929146 | + | 0.369712i | \(0.120544\pi\) | |||||||
\(440\) | 2.61513e10 | + | 3.48965e11i | 0.0332626 | + | 0.443859i | ||||
\(441\) | 4.31581e11 | + | 1.89088e12i | 0.543362 | + | 2.38062i | ||||
\(442\) | −1.40622e10 | + | 3.58299e10i | −0.0175248 | + | 0.0446525i | ||||
\(443\) | 2.40552e9 | − | 3.20994e10i | 0.00296750 | − | 0.0395986i | −0.995523 | − | 0.0945147i | \(-0.969870\pi\) |
0.998491 | + | 0.0549161i | \(0.0174891\pi\) | |||||||
\(444\) | −3.77269e11 | + | 5.68641e10i | −0.460710 | + | 0.0694409i | ||||
\(445\) | 8.73013e11 | + | 8.10038e11i | 1.05536 | + | 0.979231i | ||||
\(446\) | 1.50797e12 | + | 7.26198e11i | 1.80462 | + | 0.869057i | ||||
\(447\) | 4.21046e11 | − | 2.87064e11i | 0.498822 | − | 0.340091i | ||||
\(448\) | −3.71876e9 | − | 9.47525e9i | −0.00436162 | − | 0.0111132i | ||||
\(449\) | 1.15289e12 | − | 3.55619e11i | 1.33868 | − | 0.412929i | 0.458978 | − | 0.888447i | \(-0.348216\pi\) |
0.879706 | + | 0.475518i | \(0.157739\pi\) | |||||||
\(450\) | 7.26668e11 | − | 6.74249e11i | 0.835371 | − | 0.775111i | ||||
\(451\) | −9.61342e10 | + | 1.20549e11i | −0.109417 | + | 0.137204i | ||||
\(452\) | 6.12665e10 | − | 7.68257e10i | 0.0690399 | − | 0.0865732i | ||||
\(453\) | 3.67132e11 | − | 3.40649e11i | 0.409620 | − | 0.380071i | ||||
\(454\) | −1.49239e12 | + | 4.60343e11i | −1.64866 | + | 0.508546i | ||||
\(455\) | −7.10944e8 | − | 1.81146e9i | −0.000777650 | − | 0.00198142i | ||||
\(456\) | −6.58618e11 | + | 4.49038e11i | −0.713332 | + | 0.486342i | ||||
\(457\) | 1.13102e12 | + | 5.44669e11i | 1.21296 | + | 0.584130i | 0.927343 | − | 0.374214i | \(-0.122087\pi\) |
0.285617 | + | 0.958344i | \(0.407802\pi\) | |||||||
\(458\) | 1.22034e12 | + | 1.13231e12i | 1.29594 | + | 1.20246i | ||||
\(459\) | 1.32283e12 | − | 1.99384e11i | 1.39106 | − | 0.209668i | ||||
\(460\) | 2.26016e10 | − | 3.01597e11i | 0.0235358 | − | 0.314063i | ||||
\(461\) | −5.03362e11 | + | 1.28255e12i | −0.519071 | + | 1.32257i | 0.395619 | + | 0.918415i | \(0.370530\pi\) |
−0.914690 | + | 0.404156i | \(0.867565\pi\) | |||||||
\(462\) | 4.92631e9 | + | 2.15836e10i | 0.00503075 | + | 0.0220412i | ||||
\(463\) | 7.08640e10 | + | 9.45614e11i | 0.0716656 | + | 0.956311i | 0.910923 | + | 0.412577i | \(0.135371\pi\) |
−0.839257 | + | 0.543735i | \(0.817010\pi\) | |||||||
\(464\) | −2.02196e12 | − | 6.23693e11i | −2.02508 | − | 0.624655i | ||||
\(465\) | −3.03930e12 | + | 1.46365e12i | −3.01464 | + | 1.45177i | ||||
\(466\) | 8.55392e11 | − | 1.48158e12i | 0.840289 | − | 1.45542i | ||||
\(467\) | 1.75562e11 | + | 3.04082e11i | 0.170806 | + | 0.295845i | 0.938702 | − | 0.344730i | \(-0.112029\pi\) |
−0.767896 | + | 0.640575i | \(0.778696\pi\) | |||||||
\(468\) | −5.15270e10 | − | 3.51305e10i | −0.0496511 | − | 0.0338515i | ||||
\(469\) | −4.26640e9 | + | 1.86923e10i | −0.00407178 | + | 0.0178396i | ||||
\(470\) | 2.14097e12 | + | 3.22699e11i | 2.02381 | + | 0.305040i | ||||
\(471\) | 1.01930e11 | + | 1.27816e11i | 0.0954351 | + | 0.119672i | ||||
\(472\) | 1.00946e12 | 0.936160 | ||||||||
\(473\) | 1.57228e10 | + | 5.15824e11i | 0.0144429 | + | 0.473835i | ||||
\(474\) | 3.28219e12 | 2.98649 | ||||||||
\(475\) | −1.65879e11 | − | 2.08005e11i | −0.149510 | − | 0.187479i | ||||
\(476\) | −4.02869e9 | − | 6.07227e8i | −0.00359693 | − | 0.000542150i | ||||
\(477\) | −7.56262e11 | + | 3.31340e12i | −0.668866 | + | 2.93050i | ||||
\(478\) | −6.86794e11 | − | 4.68248e11i | −0.601729 | − | 0.410252i | ||||
\(479\) | −4.06801e11 | − | 7.04600e11i | −0.353079 | − | 0.611551i | 0.633708 | − | 0.773572i | \(-0.281532\pi\) |
−0.986787 | + | 0.162021i | \(0.948199\pi\) | |||||||
\(480\) | 7.63329e11 | − | 1.32213e12i | 0.656336 | − | 1.13681i | ||||
\(481\) | 6.88104e10 | − | 3.31373e10i | 0.0586140 | − | 0.0282270i | ||||
\(482\) | −9.89165e11 | − | 3.05117e11i | −0.834751 | − | 0.257487i | ||||
\(483\) | 3.21079e9 | + | 4.28450e10i | 0.00268442 | + | 0.0358211i | ||||
\(484\) | 6.41715e10 | + | 2.81154e11i | 0.0531543 | + | 0.232884i | ||||
\(485\) | −8.34487e10 | + | 2.12624e11i | −0.0684828 | + | 0.174491i | ||||
\(486\) | −2.11142e11 | + | 2.81749e12i | −0.171677 | + | 2.29087i | ||||
\(487\) | −3.55174e10 | + | 5.35338e9i | −0.0286128 | + | 0.00431269i | −0.163333 | − | 0.986571i | \(-0.552225\pi\) |
0.134720 | + | 0.990884i | \(0.456986\pi\) | |||||||
\(488\) | −1.32971e12 | − | 1.23379e12i | −1.06137 | − | 0.984807i | ||||
\(489\) | −1.63068e12 | − | 7.85292e11i | −1.28967 | − | 0.621071i | ||||
\(490\) | −1.43010e12 | + | 9.75028e11i | −1.12069 | + | 0.764073i | ||||
\(491\) | −3.83817e11 | − | 9.77950e11i | −0.298028 | − | 0.759363i | −0.998936 | − | 0.0461119i | \(-0.985317\pi\) |
0.700908 | − | 0.713252i | \(-0.252778\pi\) | |||||||
\(492\) | 2.62857e11 | − | 8.10806e10i | 0.202244 | − | 0.0623841i | ||||
\(493\) | 8.82387e11 | − | 8.18735e11i | 0.672741 | − | 0.624212i | ||||
\(494\) | −4.43049e10 | + | 5.55566e10i | −0.0334719 | + | 0.0419725i | ||||
\(495\) | 1.14444e12 | − | 1.43509e12i | 0.856784 | − | 1.07437i | ||||
\(496\) | −1.82181e12 | + | 1.69040e12i | −1.35156 | + | 1.25407i | ||||
\(497\) | 9.52745e9 | − | 2.93883e9i | 0.00700443 | − | 0.00216058i | ||||
\(498\) | −1.23178e12 | − | 3.13852e12i | −0.897429 | − | 2.28661i | ||||
\(499\) | 1.26986e12 | − | 8.65777e11i | 0.916862 | − | 0.625106i | −0.0102268 | − | 0.999948i | \(-0.503255\pi\) |
0.927089 | + | 0.374842i | \(0.122303\pi\) | |||||||
\(500\) | −2.72588e11 | − | 1.31271e11i | −0.195048 | − | 0.0939302i | ||||
\(501\) | 1.46906e12 | + | 1.36309e12i | 1.04177 | + | 0.966617i | ||||
\(502\) | −7.31900e11 | + | 1.10316e11i | −0.514381 | + | 0.0775304i | ||||
\(503\) | 6.19002e10 | − | 8.26000e11i | 0.0431158 | − | 0.575340i | −0.933252 | − | 0.359223i | \(-0.883042\pi\) |
0.976368 | − | 0.216117i | \(-0.0693392\pi\) | |||||||
\(504\) | −2.29915e10 | + | 5.85814e10i | −0.0158719 | + | 0.0404410i | ||||
\(505\) | 4.61660e11 | + | 2.02266e12i | 0.315872 | + | 1.38392i | ||||
\(506\) | −5.14716e10 | − | 6.86841e11i | −0.0349052 | − | 0.465778i | ||||
\(507\) | −2.62118e12 | − | 8.08526e11i | −1.76182 | − | 0.543448i | ||||
\(508\) | 5.55882e11 | − | 2.67699e11i | 0.370336 | − | 0.178344i | ||||
\(509\) | −5.19092e10 | + | 8.99094e10i | −0.0342779 | + | 0.0593711i | −0.882655 | − | 0.470021i | \(-0.844246\pi\) |
0.848378 | + | 0.529392i | \(0.177580\pi\) | |||||||
\(510\) | 1.01057e12 | + | 1.75036e12i | 0.661458 | + | 1.14568i | ||||
\(511\) | −2.10349e10 | − | 1.43414e10i | −0.0136473 | − | 0.00930458i | ||||
\(512\) | −8.19003e10 | + | 3.58829e11i | −0.0526709 | + | 0.230766i | ||||
\(513\) | 2.44214e12 | + | 3.68093e11i | 1.55683 | + | 0.234655i | ||||
\(514\) | −2.87792e11 | − | 3.60880e11i | −0.181863 | − | 0.228049i | ||||
\(515\) | −1.09512e12 | −0.686010 | ||||||||
\(516\) | 4.95223e11 | − | 7.76153e11i | 0.307522 | − | 0.481974i | ||||
\(517\) | 1.16141e12 | 0.714952 | ||||||||
\(518\) | 2.13989e10 | + | 2.68334e10i | 0.0130590 | + | 0.0163754i | ||||
\(519\) | 2.50576e12 | + | 3.77682e11i | 1.51595 | + | 0.228493i | ||||
\(520\) | −2.78094e10 | + | 1.21841e11i | −0.0166792 | + | 0.0730765i | ||||
\(521\) | −3.56943e10 | − | 2.43359e10i | −0.0212241 | − | 0.0144703i | 0.552662 | − | 0.833406i | \(-0.313612\pi\) |
−0.573886 | + | 0.818935i | \(0.694565\pi\) | |||||||
\(522\) | 4.14001e12 | + | 7.17071e12i | 2.44053 | + | 4.22712i | ||||
\(523\) | 5.70232e11 | − | 9.87671e11i | 0.333268 | − | 0.577238i | −0.649882 | − | 0.760035i | \(-0.725182\pi\) |
0.983151 | + | 0.182797i | \(0.0585152\pi\) | |||||||
\(524\) | −2.31313e11 | + | 1.11394e11i | −0.134032 | + | 0.0645464i | ||||
\(525\) | −2.82863e10 | − | 8.72516e9i | −0.0162502 | − | 0.00501252i | ||||
\(526\) | 2.58177e10 | + | 3.44513e11i | 0.0147056 | + | 0.196232i | ||||
\(527\) | −3.14597e11 | − | 1.37834e12i | −0.177667 | − | 0.778411i | ||||
\(528\) | 6.96271e11 | − | 1.77407e12i | 0.389875 | − | 0.993386i | ||||
\(529\) | −3.47076e10 | + | 4.63141e11i | −0.0192697 | + | 0.257136i | ||||
\(530\) | −2.99912e12 | + | 4.52044e11i | −1.65102 | + | 0.248851i | ||||
\(531\) | −3.88142e12 | − | 3.60143e12i | −2.11868 | − | 1.96585i | ||||
\(532\) | −6.77671e9 | − | 3.26349e9i | −0.00366789 | − | 0.00176636i | ||||
\(533\) | −4.54963e10 | + | 3.10189e10i | −0.0244177 | + | 0.0166477i | ||||
\(534\) | −1.76775e12 | − | 4.50415e12i | −0.940773 | − | 2.39705i | ||||
\(535\) | −9.06213e11 | + | 2.79530e11i | −0.478232 | + | 0.147515i | ||||
\(536\) | 9.02628e11 | − | 8.37517e11i | 0.472354 | − | 0.438280i | ||||
\(537\) | −4.34923e12 | + | 5.45377e12i | −2.25698 | + | 2.83017i | ||||
\(538\) | 1.89477e12 | − | 2.37597e12i | 0.975072 | − | 1.22270i | ||||
\(539\) | −6.80602e11 | + | 6.31506e11i | −0.347331 | + | 0.322276i | ||||
\(540\) | −1.84837e12 | + | 5.70146e11i | −0.935442 | + | 0.288546i | ||||
\(541\) | −1.40345e12 | − | 3.57594e12i | −0.704384 | − | 1.79474i | −0.599681 | − | 0.800239i | \(-0.704706\pi\) |
−0.104703 | − | 0.994504i | \(-0.533389\pi\) | |||||||
\(542\) | −1.29489e12 | + | 8.82842e11i | −0.644520 | + | 0.439426i | ||||
\(543\) | −5.61420e12 | − | 2.70366e12i | −2.77133 | − | 1.33460i | ||||
\(544\) | 4.69026e11 | + | 4.35192e11i | 0.229616 | + | 0.213052i | ||||
\(545\) | −9.37282e11 | + | 1.41272e11i | −0.455078 | + | 0.0685920i | ||||
\(546\) | −5.90838e8 | + | 7.88419e9i | −0.000284513 | + | 0.00379656i | ||||
\(547\) | 9.46032e11 | − | 2.41045e12i | 0.451817 | − | 1.15121i | −0.505668 | − | 0.862728i | \(-0.668754\pi\) |
0.957485 | − | 0.288483i | \(-0.0931509\pi\) | |||||||
\(548\) | 1.80644e11 | + | 7.91451e11i | 0.0855677 | + | 0.374897i | ||||
\(549\) | 7.11024e11 | + | 9.48795e12i | 0.334048 | + | 4.45756i | ||||
\(550\) | 4.53452e11 | + | 1.39871e11i | 0.211300 | + | 0.0651774i | ||||
\(551\) | 2.00217e12 | − | 9.64196e11i | 0.925378 | − | 0.445639i | ||||
\(552\) | 1.37965e12 | − | 2.38963e12i | 0.632476 | − | 1.09548i | ||||
\(553\) | −3.47724e10 | − | 6.02275e10i | −0.0158114 | − | 0.0273862i | ||||
\(554\) | 1.23969e12 | + | 8.45204e11i | 0.559136 | + | 0.381213i | ||||
\(555\) | 8.92396e11 | − | 3.90984e12i | 0.399245 | − | 1.74921i | ||||
\(556\) | −8.74383e11 | − | 1.31792e11i | −0.388030 | − | 0.0584861i | ||||
\(557\) | 1.43039e12 | + | 1.79365e12i | 0.629661 | + | 0.789570i | 0.989668 | − | 0.143380i | \(-0.0457971\pi\) |
−0.360007 | + | 0.932950i | \(0.617226\pi\) | |||||||
\(558\) | 9.72503e12 | 4.24656 | ||||||||
\(559\) | −4.89326e10 | + | 1.77685e11i | −0.0211956 | + | 0.0769660i | ||||
\(560\) | −7.52809e10 | −0.0323473 | ||||||||
\(561\) | 6.75964e11 | + | 8.47633e11i | 0.288132 | + | 0.361306i | ||||
\(562\) | 1.54666e12 | + | 2.33121e11i | 0.654005 | + | 0.0985754i | ||||
\(563\) | −1.56423e11 | + | 6.85336e11i | −0.0656167 | + | 0.287485i | −0.997081 | − | 0.0763463i | \(-0.975675\pi\) |
0.931465 | + | 0.363832i | \(0.118532\pi\) | |||||||
\(564\) | −1.71197e12 | − | 1.16720e12i | −0.712428 | − | 0.485725i | ||||
\(565\) | 5.16442e11 | + | 8.94503e11i | 0.213208 | + | 0.369287i | ||||
\(566\) | −1.92817e12 | + | 3.33968e12i | −0.789716 | + | 1.36783i | ||||
\(567\) | 1.25843e11 | − | 6.06027e10i | 0.0511334 | − | 0.0246245i | ||||
\(568\) | −6.11871e11 | − | 1.88737e11i | −0.246656 | − | 0.0760834i | ||||
\(569\) | −9.78996e10 | − | 1.30638e12i | −0.0391539 | − | 0.522473i | −0.981955 | − | 0.189116i | \(-0.939438\pi\) |
0.942801 | − | 0.333357i | \(-0.108181\pi\) | |||||||
\(570\) | 8.30302e11 | + | 3.63779e12i | 0.329457 | + | 1.44345i | ||||
\(571\) | 5.63645e10 | − | 1.43614e11i | 0.0221893 | − | 0.0565374i | −0.919350 | − | 0.393441i | \(-0.871284\pi\) |
0.941539 | + | 0.336904i | \(0.109380\pi\) | |||||||
\(572\) | 2.23096e9 | − | 2.97701e10i | 0.000871384 | − | 0.0116278i | ||||
\(573\) | −2.10233e12 | + | 3.16876e11i | −0.814716 | + | 0.122799i | ||||
\(574\) | −1.81395e10 | − | 1.68310e10i | −0.00697463 | − | 0.00647151i | ||||
\(575\) | 8.29742e11 | + | 3.99583e11i | 0.316547 | + | 0.152441i | ||||
\(576\) | 2.83306e12 | − | 1.93155e12i | 1.07240 | − | 0.731147i | ||||
\(577\) | −1.42781e12 | − | 3.63799e12i | −0.536263 | − | 1.36638i | −0.900413 | − | 0.435036i | \(-0.856736\pi\) |
0.364150 | − | 0.931340i | \(-0.381359\pi\) | |||||||
\(578\) | 2.12323e12 | − | 6.54929e11i | 0.791264 | − | 0.244073i | ||||
\(579\) | 5.05115e12 | − | 4.68678e12i | 1.86783 | − | 1.73309i | ||||
\(580\) | −1.08517e12 | + | 1.36076e12i | −0.398173 | + | 0.499293i | ||||
\(581\) | −4.45414e10 | + | 5.58532e10i | −0.0162170 | + | 0.0203355i | ||||
\(582\) | 6.80287e11 | − | 6.31214e11i | 0.245776 | − | 0.228046i | ||||
\(583\) | −1.55465e12 | + | 4.79545e11i | −0.557344 | + | 0.171918i | ||||
\(584\) | 5.97334e11 | + | 1.52198e12i | 0.212500 | + | 0.541442i | ||||
\(585\) | 5.41618e11 | − | 3.69269e11i | 0.191202 | − | 0.130359i | ||||
\(586\) | −3.69714e12 | − | 1.78045e12i | −1.29517 | − | 0.623720i | ||||
\(587\) | 2.21469e12 | + | 2.05494e12i | 0.769914 | + | 0.714376i | 0.963794 | − | 0.266650i | \(-0.0859166\pi\) |
−0.193880 | + | 0.981025i | \(0.562107\pi\) | |||||||
\(588\) | 1.63790e12 | − | 2.46874e11i | 0.565053 | − | 0.0851681i | ||||
\(589\) | 1.95050e11 | − | 2.60277e12i | 0.0667772 | − | 0.891080i | ||||
\(590\) | 1.72633e12 | − | 4.39863e12i | 0.586530 | − | 1.49446i | ||||
\(591\) | 2.18181e11 | + | 9.55912e11i | 0.0735652 | + | 0.322310i | ||||
\(592\) | −2.20794e11 | − | 2.94629e12i | −0.0738822 | − | 0.985889i | ||||
\(593\) | −6.96212e11 | − | 2.14753e11i | −0.231204 | − | 0.0713170i | 0.176988 | − | 0.984213i | \(-0.443365\pi\) |
−0.408192 | + | 0.912896i | \(0.633841\pi\) | |||||||
\(594\) | −3.96884e12 | + | 1.91129e12i | −1.30805 | + | 0.629925i | ||||
\(595\) | 2.14126e10 | − | 3.70877e10i | 0.00700395 | − | 0.0121312i | ||||
\(596\) | −1.54404e11 | − | 2.67435e11i | −0.0501244 | − | 0.0868181i | ||||
\(597\) | −7.58149e12 | − | 5.16897e12i | −2.44270 | − | 1.66540i | ||||
\(598\) | 5.47350e10 | − | 2.39810e11i | 0.0175029 | − | 0.0766852i | ||||
\(599\) | 1.72135e12 | + | 2.59452e11i | 0.546321 | + | 0.0823447i | 0.416403 | − | 0.909180i | \(-0.363290\pi\) |
0.129918 | + | 0.991525i | \(0.458529\pi\) | |||||||
\(600\) | 1.18529e12 | + | 1.48631e12i | 0.373374 | + | 0.468196i | ||||
\(601\) | −2.66261e11 | −0.0832477 | −0.0416238 | − | 0.999133i | \(-0.513253\pi\) | ||||
−0.0416238 | + | 0.999133i | \(0.513253\pi\) | |||||||
\(602\) | −8.27404e10 | − | 3.67016e9i | −0.0256764 | − | 0.00113894i | ||||
\(603\) | −6.45865e12 | −1.98936 | ||||||||
\(604\) | −1.89226e11 | − | 2.37282e11i | −0.0578515 | − | 0.0725435i | ||||
\(605\) | −2.99745e12 | − | 4.51792e11i | −0.909603 | − | 0.137101i | ||||
\(606\) | 1.87568e12 | − | 8.21788e12i | 0.564978 | − | 2.47533i | ||||
\(607\) | 8.67661e11 | + | 5.91561e11i | 0.259418 | + | 0.176868i | 0.686044 | − | 0.727560i | \(-0.259346\pi\) |
−0.426626 | + | 0.904428i | \(0.640298\pi\) | |||||||
\(608\) | 5.90608e11 | + | 1.02296e12i | 0.175280 | + | 0.303594i | ||||
\(609\) | 1.23627e11 | − | 2.14128e11i | 0.0364195 | − | 0.0630805i | ||||
\(610\) | −7.65012e12 | + | 3.68410e12i | −2.23709 | + | 1.07733i | ||||
\(611\) | 3.96342e11 | + | 1.22255e11i | 0.115050 | + | 0.0354881i | ||||
\(612\) | −1.02562e11 | − | 1.36860e12i | −0.0295533 | − | 0.394362i | ||||
\(613\) | −1.35436e12 | − | 5.93386e12i | −0.387403 | − | 1.69733i | −0.673552 | − | 0.739140i | \(-0.735232\pi\) |
0.286148 | − | 0.958185i | \(-0.407625\pi\) | |||||||
\(614\) | 5.64274e11 | − | 1.43775e12i | 0.160226 | − | 0.408249i | ||||
\(615\) | −2.16077e11 | + | 2.88335e12i | −0.0609075 | + | 0.812754i | ||||
\(616\) | −2.97891e10 | + | 4.48999e9i | −0.00833574 | + | 0.00125641i | ||||
\(617\) | 4.43569e12 | + | 4.11572e12i | 1.23219 | + | 1.14331i | 0.984671 | + | 0.174424i | \(0.0558065\pi\) |
0.247521 | + | 0.968882i | \(0.420384\pi\) | |||||||
\(618\) | 4.00875e12 | + | 1.93051e12i | 1.10551 | + | 0.532384i | ||||
\(619\) | 3.24231e12 | − | 2.21057e12i | 0.887660 | − | 0.605197i | −0.0313159 | − | 0.999510i | \(-0.509970\pi\) |
0.918976 | + | 0.394313i | \(0.129017\pi\) | |||||||
\(620\) | 7.46838e11 | + | 1.90291e12i | 0.202985 | + | 0.517197i | ||||
\(621\) | −8.16928e12 | + | 2.51989e12i | −2.20430 | + | 0.679938i | ||||
\(622\) | −4.78312e12 | + | 4.43808e12i | −1.28131 | + | 1.18888i | ||||
\(623\) | −6.39224e10 | + | 8.01561e10i | −0.0170003 | + | 0.0213177i | ||||
\(624\) | 4.24357e11 | − | 5.32127e11i | 0.112047 | − | 0.140503i | ||||
\(625\) | 3.47171e12 | − | 3.22128e12i | 0.910088 | − | 0.844438i | ||||
\(626\) | −5.27730e11 | + | 1.62783e11i | −0.137349 | + | 0.0423667i | ||||
\(627\) | 7.31241e11 | + | 1.86317e12i | 0.188954 | + | 0.481447i | ||||
\(628\) | 8.18545e10 | − | 5.58074e10i | 0.0210002 | − | 0.0143177i | ||||
\(629\) | 1.51432e12 | + | 7.29256e11i | 0.385734 | + | 0.185760i | ||||
\(630\) | 2.15944e11 | + | 2.00367e11i | 0.0546146 | + | 0.0506749i | ||||
\(631\) | 4.95141e12 | − | 7.46305e11i | 1.24336 | − | 0.187406i | 0.505778 | − | 0.862664i | \(-0.331206\pi\) |
0.737582 | + | 0.675258i | \(0.235968\pi\) | |||||||
\(632\) | −3.33767e11 | + | 4.45381e12i | −0.0832178 | + | 1.11046i | ||||
\(633\) | −2.82982e12 | + | 7.21025e12i | −0.700554 | + | 1.78498i | ||||
\(634\) | −1.30773e12 | − | 5.72952e12i | −0.321451 | − | 1.40837i | ||||
\(635\) | 4.84648e11 | + | 6.46717e12i | 0.118289 | + | 1.57846i | ||||
\(636\) | 2.77357e12 | + | 8.55532e11i | 0.672174 | + | 0.207338i | ||||
\(637\) | −2.98738e11 | + | 1.43865e11i | −0.0718891 | + | 0.0346199i | ||||
\(638\) | −1.98184e12 | + | 3.43264e12i | −0.473560 | + | 0.820230i | ||||
\(639\) | 1.67932e12 | + | 2.90867e12i | 0.398455 | + | 0.690144i | ||||
\(640\) | 5.00912e12 | + | 3.41516e12i | 1.18019 | + | 0.804640i | ||||
\(641\) | 2.74580e11 | − | 1.20302e12i | 0.0642404 | − | 0.281456i | −0.932597 | − | 0.360918i | \(-0.882463\pi\) |
0.996838 | + | 0.0794627i | \(0.0253204\pi\) | |||||||
\(642\) | 3.81000e12 | + | 5.74265e11i | 0.885151 | + | 0.133415i | ||||
\(643\) | −5.69303e11 | − | 7.13883e11i | −0.131339 | − | 0.164694i | 0.711813 | − | 0.702369i | \(-0.247874\pi\) |
−0.843152 | + | 0.537675i | \(0.819303\pi\) | |||||||
\(644\) | 2.60364e10 | 0.00596478 | ||||||||
\(645\) | 5.69267e12 | + | 7.82621e12i | 1.29508 | + | 1.78046i | ||||
\(646\) | −1.56381e12 | −0.353296 | ||||||||
\(647\) | 9.86268e11 | + | 1.23674e12i | 0.221272 | + | 0.277466i | 0.880060 | − | 0.474862i | \(-0.157502\pi\) |
−0.658788 | + | 0.752328i | \(0.728931\pi\) | |||||||
\(648\) | −8.87000e12 | − | 1.33694e12i | −1.97622 | − | 0.297868i | ||||
\(649\) | 5.64019e11 | − | 2.47113e12i | 0.124794 | − | 0.546757i | ||||
\(650\) | 1.40022e11 | + | 9.54652e10i | 0.0307670 | + | 0.0209766i | ||||
\(651\) | −1.45202e11 | − | 2.51497e11i | −0.0316853 | − | 0.0548805i | ||||
\(652\) | −5.48393e11 | + | 9.49845e11i | −0.118844 | + | 0.205844i | ||||
\(653\) | 1.84317e12 | − | 8.87623e11i | 0.396694 | − | 0.191038i | −0.224892 | − | 0.974384i | \(-0.572203\pi\) |
0.621586 | + | 0.783346i | \(0.286489\pi\) | |||||||
\(654\) | 3.68000e12 | + | 1.13513e12i | 0.786590 | + | 0.242631i | ||||
\(655\) | −2.01671e11 | − | 2.69111e12i | −0.0428112 | − | 0.571275i | ||||
\(656\) | 4.74012e11 | + | 2.07678e12i | 0.0999360 | + | 0.437848i | ||||
\(657\) | 3.13317e12 | − | 7.98320e12i | 0.656055 | − | 1.67160i | ||||
\(658\) | −1.39290e10 | + | 1.85870e11i | −0.00289671 | + | 0.0386539i | ||||
\(659\) | −7.33161e12 | + | 1.10506e12i | −1.51431 | + | 0.228246i | −0.853018 | − | 0.521882i | \(-0.825230\pi\) |
−0.661293 | + | 0.750127i | \(0.729992\pi\) | |||||||
\(660\) | −1.14914e12 | − | 1.06625e12i | −0.235736 | − | 0.218731i | ||||
\(661\) | −2.57486e12 | − | 1.23999e12i | −0.524623 | − | 0.252645i | 0.152776 | − | 0.988261i | \(-0.451179\pi\) |
−0.677399 | + | 0.735616i | \(0.736893\pi\) | |||||||
\(662\) | −2.56524e12 | + | 1.74895e12i | −0.519119 | + | 0.353929i | ||||
\(663\) | 1.41454e11 | + | 3.60419e11i | 0.0284318 | + | 0.0724430i | ||||
\(664\) | 4.38412e12 | − | 1.35232e12i | 0.875237 | − | 0.269975i | ||||
\(665\) | 5.79564e10 | − | 5.37757e10i | 0.0114922 | − | 0.0106632i | ||||
\(666\) | −7.20847e12 | + | 9.03913e12i | −1.41974 | + | 1.78030i | ||||
\(667\) | −4.79615e12 | + | 6.01418e12i | −0.938267 | + | 1.17655i | ||||
\(668\) | 8.90233e11 | − | 8.26015e11i | 0.172985 | − | 0.160507i | ||||
\(669\) | 1.60882e13 | − | 4.96254e12i | 3.10520 | − | 0.957827i | ||||
\(670\) | −2.10576e12 | − | 5.36540e12i | −0.403713 | − | 1.02865i | ||||
\(671\) | −3.76323e12 | + | 2.56573e12i | −0.716654 | + | 0.488606i | ||||
\(672\) | 1.18410e11 | + | 5.70234e10i | 0.0223989 | + | 0.0107868i | ||||
\(673\) | 2.67079e12 | + | 2.47813e12i | 0.501848 | + | 0.465646i | 0.890008 | − | 0.455945i | \(-0.150699\pi\) |
−0.388160 | + | 0.921592i | \(0.626889\pi\) | |||||||
\(674\) | 5.99612e12 | − | 9.03770e11i | 1.11918 | − | 0.168690i | ||||
\(675\) | 4.40160e11 | − | 5.87353e12i | 0.0816100 | − | 1.08901i | ||||
\(676\) | −6.07289e11 | + | 1.54735e12i | −0.111850 | + | 0.284989i | ||||
\(677\) | −5.03538e11 | − | 2.20614e12i | −0.0921262 | − | 0.403631i | 0.907748 | − | 0.419517i | \(-0.137800\pi\) |
−0.999874 | + | 0.0158854i | \(0.994943\pi\) | |||||||
\(678\) | −3.13605e11 | − | 4.18477e12i | −0.0569967 | − | 0.760567i | ||||
\(679\) | −1.87898e10 | − | 5.79589e9i | −0.00339241 | − | 0.00104642i | ||||
\(680\) | −2.47795e12 | + | 1.19332e12i | −0.444429 | + | 0.214026i | ||||
\(681\) | −7.85509e12 | + | 1.36054e13i | −1.39955 | + | 2.42410i | ||||
\(682\) | 2.32770e12 | + | 4.03170e12i | 0.412001 | + | 0.713606i | ||||
\(683\) | 2.19070e12 | + | 1.49359e12i | 0.385203 | + | 0.262627i | 0.740403 | − | 0.672163i | \(-0.234635\pi\) |
−0.355200 | + | 0.934790i | \(0.615587\pi\) | |||||||
\(684\) | 5.63807e11 | − | 2.47020e12i | 0.0984868 | − | 0.431499i | ||||
\(685\) | −8.43784e12 | − | 1.27180e12i | −1.46428 | − | 0.220705i | ||||
\(686\) | −1.85853e11 | − | 2.33052e11i | −0.0320413 | − | 0.0401785i | ||||
\(687\) | 1.67459e13 | 2.86815 | ||||||||
\(688\) | 5.70710e12 | + | 4.27342e12i | 0.971107 | + | 0.727157i | ||||
\(689\) | −5.81018e11 | −0.0982208 | ||||||||
\(690\) | −8.05316e12 | − | 1.00983e13i | −1.35253 | − | 1.69601i | ||||
\(691\) | −3.28453e12 | − | 4.95063e11i | −0.548052 | − | 0.0826055i | −0.130821 | − | 0.991406i | \(-0.541761\pi\) |
−0.417231 | + | 0.908800i | \(0.636999\pi\) | |||||||
\(692\) | 3.41706e11 | − | 1.49711e12i | 0.0566467 | − | 0.248185i | ||||
\(693\) | 1.30559e11 | + | 8.90139e10i | 0.0215035 | + | 0.0146608i | ||||
\(694\) | −2.22047e12 | − | 3.84597e12i | −0.363352 | − | 0.629345i | ||||
\(695\) | 4.64737e12 | − | 8.04949e12i | 0.755572 | − | 1.30869i | ||||
\(696\) | −1.43066e13 | + | 6.88967e12i | −2.31097 | + | 1.11290i | ||||
\(697\) | −1.15797e12 | − | 3.57186e11i | −0.185844 | − | 0.0573254i | ||||
\(698\) | 3.78096e10 | + | 5.04534e11i | 0.00602910 | + | 0.0804528i | ||||
\(699\) | −3.82937e12 | − | 1.67776e13i | −0.606709 | − | 2.65816i | ||||
\(700\) | −6.55352e9 | + | 1.66981e10i | −0.00103165 | + | 0.00262861i | ||||
\(701\) | −8.34691e11 | + | 1.11382e13i | −0.130555 | + | 1.74214i | 0.420163 | + | 0.907449i | \(0.361973\pi\) |
−0.550718 | + | 0.834691i | \(0.685646\pi\) | |||||||
\(702\) | −1.55560e12 | + | 2.34469e11i | −0.241758 | + | 0.0364392i | ||||
\(703\) | 2.27462e12 | + | 2.11054e12i | 0.351245 | + | 0.325907i | ||||
\(704\) | 1.47886e12 | + | 7.12181e11i | 0.226908 | + | 0.109273i | ||||
\(705\) | 1.79951e13 | − | 1.22689e13i | 2.74349 | − | 1.87048i | ||||
\(706\) | −9.41568e11 | − | 2.39908e12i | −0.142636 | − | 0.363432i | ||||
\(707\) | −1.70668e11 | + | 5.26441e10i | −0.0256901 | + | 0.00792433i | ||||
\(708\) | −3.31485e12 | + | 3.07574e12i | −0.495809 | + | 0.460044i | ||||
\(709\) | −6.60571e11 | + | 8.28330e11i | −0.0981774 | + | 0.123111i | −0.828493 | − | 0.559999i | \(-0.810801\pi\) |
0.730316 | + | 0.683110i | \(0.239373\pi\) | |||||||
\(710\) | −1.86880e12 | + | 2.34340e12i | −0.275994 | + | 0.346086i | ||||
\(711\) | 1.71731e13 | − | 1.59343e13i | 2.52021 | − | 2.33841i | ||||
\(712\) | 6.29174e12 | − | 1.94074e12i | 0.917509 | − | 0.283014i | ||||
\(713\) | 3.30082e12 | + | 8.41035e12i | 0.478320 | + | 1.21874i | ||||
\(714\) | −1.43761e11 | + | 9.80146e10i | −0.0207014 | + | 0.0141140i | ||||
\(715\) | 2.82725e11 | + | 1.36153e11i | 0.0404563 | + | 0.0194827i | ||||
\(716\) | 3.09872e12 | + | 2.87519e12i | 0.440629 | + | 0.408844i | ||||
\(717\) | −8.26807e12 | + | 1.24621e12i | −1.16834 | + | 0.176098i | ||||
\(718\) | −4.80981e11 | + | 6.41824e12i | −0.0675410 | + | 0.901272i | ||||
\(719\) | −4.69546e12 | + | 1.19638e13i | −0.655237 | + | 1.66952i | 0.0843349 | + | 0.996437i | \(0.473123\pi\) |
−0.739571 | + | 0.673078i | \(0.764972\pi\) | |||||||
\(720\) | −5.64295e12 | − | 2.47234e13i | −0.782546 | − | 3.42856i | ||||
\(721\) | −7.04525e9 | − | 9.40123e10i | −0.000970929 | − | 0.0129561i | ||||
\(722\) | 5.22125e12 | + | 1.61054e12i | 0.715084 | + | 0.220574i | ||||
\(723\) | −9.38158e12 | + | 4.51793e12i | −1.27689 | + | 0.614918i | ||||
\(724\) | −1.88805e12 | + | 3.27019e12i | −0.255381 | + | 0.442333i | ||||
\(725\) | −2.64990e12 | − | 4.58975e12i | −0.356211 | − | 0.616976i | ||||
\(726\) | 1.01759e13 | + | 6.93778e12i | 1.35943 | + | 0.926843i | ||||
\(727\) | 1.16019e12 | − | 5.08312e12i | 0.154037 | − | 0.674879i | −0.837651 | − | 0.546207i | \(-0.816071\pi\) |
0.991687 | − | 0.128672i | \(-0.0410715\pi\) | |||||||
\(728\) | −1.06385e10 | − | 1.60349e9i | −0.00140375 | − | 0.000211581i | ||||
\(729\) | 5.71252e12 | + | 7.16327e12i | 0.749124 | + | 0.939372i | ||||
\(730\) | 7.65343e12 | 0.997478 | ||||||||
\(731\) | −3.72864e12 | + | 1.59613e12i | −0.482972 | + | 0.206747i | ||||
\(732\) | 8.12572e12 | 1.04607 | ||||||||
\(733\) | −5.86610e11 | − | 7.35585e11i | −0.0750553 | − | 0.0941163i | 0.742886 | − | 0.669418i | \(-0.233456\pi\) |
−0.817942 | + | 0.575301i | \(0.804885\pi\) | |||||||
\(734\) | −3.95557e12 | − | 5.96206e11i | −0.503010 | − | 0.0758165i | ||||
\(735\) | −3.87431e12 | + | 1.69744e13i | −0.489667 | + | 2.14537i | ||||
\(736\) | −3.37836e12 | − | 2.30333e12i | −0.424381 | − | 0.289338i | ||||
\(737\) | −1.54589e12 | − | 2.67756e12i | −0.193008 | − | 0.334299i | ||||
\(738\) | 4.16783e12 | − | 7.21890e12i | 0.517198 | − | 0.895813i | ||||
\(739\) | −3.01759e12 | + | 1.45319e12i | −0.372186 | + | 0.179235i | −0.610621 | − | 0.791923i | \(-0.709080\pi\) |
0.238435 | + | 0.971159i | \(0.423366\pi\) | |||||||
\(740\) | −2.32228e12 | − | 7.16328e11i | −0.284690 | − | 0.0878151i | ||||
\(741\) | 5.34170e10 | + | 7.12800e11i | 0.00650875 | + | 0.0868532i | ||||
\(742\) | −5.81005e10 | − | 2.54555e11i | −0.00703659 | − | 0.0308293i | ||||
\(743\) | −2.34662e11 | + | 5.97909e11i | −0.0282483 | + | 0.0719756i | −0.944302 | − | 0.329080i | \(-0.893261\pi\) |
0.916054 | + | 0.401056i | \(0.131357\pi\) | |||||||
\(744\) | −1.39374e12 | + | 1.85981e13i | −0.166764 | + | 2.22531i | ||||
\(745\) | 3.20972e12 | − | 4.83788e11i | 0.381737 | − | 0.0575376i | ||||
\(746\) | −7.15261e12 | − | 6.63665e12i | −0.845551 | − | 0.784557i | ||||
\(747\) | −2.16818e13 | − | 1.04414e13i | −2.54772 | − | 1.22692i | ||||
\(748\) | 5.42830e11 | − | 3.70095e11i | 0.0634026 | − | 0.0432271i | ||||
\(749\) | −2.98265e10 | − | 7.59967e10i | −0.00346286 | − | 0.00882321i | ||||
\(750\) | −1.23468e13 | + | 3.80849e12i | −1.42488 | + | 0.439518i | ||||
\(751\) | −8.60583e12 | + | 7.98504e12i | −0.987218 | + | 0.916004i | −0.996470 | − | 0.0839531i | \(-0.973245\pi\) |
0.00925205 | + | 0.999957i | \(0.497055\pi\) | |||||||
\(752\) | 1.00042e13 | − | 1.25449e13i | 1.14078 | − | 1.43050i | ||||
\(753\) | −4.64216e12 | + | 5.82108e12i | −0.526190 | + | 0.659822i | ||||
\(754\) | −1.03766e12 | + | 9.62807e11i | −0.116919 | + | 0.108485i | ||||
\(755\) | 3.04841e12 | − | 9.40310e11i | 0.341438 | − | 0.105320i | ||||
\(756\) | −6.08360e10 | − | 1.55008e11i | −0.00677349 | − | 0.0172586i | ||||
\(757\) | −3.77674e12 | + | 2.57494e12i | −0.418009 | + | 0.284994i | −0.754004 | − | 0.656870i | \(-0.771880\pi\) |
0.335995 | + | 0.941864i | \(0.390928\pi\) | |||||||
\(758\) | −5.85858e12 | − | 2.82135e12i | −0.644587 | − | 0.310417i | ||||
\(759\) | −5.07889e12 | − | 4.71252e12i | −0.555495 | − | 0.515424i | ||||
\(760\) | −5.02079e12 | + | 7.56762e11i | −0.545897 | + | 0.0822807i | ||||
\(761\) | 6.36659e11 | − | 8.49562e12i | 0.0688139 | − | 0.918257i | −0.850814 | − | 0.525467i | \(-0.823891\pi\) |
0.919628 | − | 0.392790i | \(-0.128490\pi\) | |||||||
\(762\) | 9.62643e12 | − | 2.45277e13i | 1.03435 | − | 2.63548i | ||||
\(763\) | −1.81575e10 | − | 7.95533e10i | −0.00193953 | − | 0.00849763i | ||||
\(764\) | 9.62807e10 | + | 1.28478e12i | 0.0102240 | + | 0.136429i | ||||
\(765\) | 1.37852e13 | + | 4.25217e12i | 1.45525 | + | 0.448885i | ||||
\(766\) | 1.40892e13 | − | 6.78499e12i | 1.47862 | − | 0.712065i | ||||
\(767\) | 4.52600e11 | − | 7.83927e11i | 0.0472211 | − | 0.0817893i | ||||
\(768\) | −7.56375e12 | − | 1.31008e13i | −0.784533 | − | 1.35885i | ||||
\(769\) | −5.19787e12 | − | 3.54385e12i | −0.535990 | − | 0.365432i | 0.264869 | − | 0.964284i | \(-0.414671\pi\) |
−0.800859 | + | 0.598852i | \(0.795624\pi\) | |||||||
\(770\) | −3.13793e10 | + | 1.37482e11i | −0.00321688 | + | 0.0140941i | ||||
\(771\) | −4.59127e12 | − | 6.92022e11i | −0.467938 | − | 0.0705302i | ||||
\(772\) | −2.60345e12 | − | 3.26462e12i | −0.263798 | − | 0.330792i | ||||
\(773\) | −1.49131e13 | −1.50232 | −0.751158 | − | 0.660123i | \(-0.770504\pi\) | ||||
−0.751158 | + | 0.660123i | \(0.770504\pi\) | |||||||
\(774\) | −4.99677e12 | − | 2.74483e13i | −0.500443 | − | 2.74904i | ||||
\(775\) | −6.22470e12 | −0.619813 | ||||||||
\(776\) | 7.87356e11 | + | 9.87314e11i | 0.0779459 | + | 0.0977411i | ||||
\(777\) | 3.41386e11 | + | 5.14557e10i | 0.0336010 | + | 0.00506453i | ||||
\(778\) | −8.50761e11 | + | 3.72743e12i | −0.0832529 | + | 0.364755i | ||||
\(779\) | −1.84844e12 | − | 1.26025e12i | −0.179841 | − | 0.122613i | ||||
\(780\) | −2.79918e11 | − | 4.84832e11i | −0.0270773 | − | 0.0468992i | ||||
\(781\) | −8.03896e11 | + | 1.39239e12i | −0.0773161 | + | 0.133915i | ||||
\(782\) | 4.87716e12 | − | 2.34871e12i | 0.466376 | − | 0.224595i | ||||
\(783\) | 4.70120e13 | + | 1.45013e13i | 4.46973 | + | 1.37873i | ||||
\(784\) | 9.58570e11 | + | 1.27912e13i | 0.0906153 | + | 1.20918i | ||||
\(785\) | 2.31721e11 | + | 1.01524e12i | 0.0217797 | + | 0.0954231i | ||||
\(786\) | −4.00573e12 | + | 1.02064e13i | −0.374352 | + | 0.953835i | ||||
\(787\) | 1.10947e12 | − | 1.48048e13i | 0.103093 | − | 1.37568i | −0.670460 | − | 0.741946i | \(-0.733903\pi\) |
0.773553 | − | 0.633732i | \(-0.218478\pi\) | |||||||
\(788\) | 5.87532e11 | − | 8.85561e10i | 0.0542829 | − | 0.00818184i | ||||
\(789\) | 2.54752e12 | + | 2.36376e12i | 0.234030 | + | 0.217148i | ||||
\(790\) | 1.88363e13 | + | 9.07106e12i | 1.72057 | + | 0.828584i | ||||
\(791\) | −7.34673e10 | + | 5.00892e10i | −0.00667268 | + | 0.00454935i | ||||
\(792\) | −3.70753e12 | − | 9.44663e12i | −0.334828 | − | 0.853127i | ||||
\(793\) | −1.55432e12 | + | 4.79445e11i | −0.139576 | + | 0.0430536i | ||||
\(794\) | 2.20507e12 | − | 2.04601e12i | 0.196893 | − | 0.182690i | ||||
\(795\) | −1.90222e13 | + | 2.38531e13i | −1.68892 | + | 2.11784i | ||||
\(796\) | −3.46691e12 | + | 4.34737e12i | −0.306079 | + | 0.383811i | ||||
\(797\) | 9.84014e12 | − | 9.13032e12i | 0.863851 | − | 0.801537i | −0.117637 | − | 0.993057i | \(-0.537532\pi\) |
0.981489 | + | 0.191520i | \(0.0613416\pi\) | |||||||
\(798\) | −3.06949e11 | + | 9.46813e10i | −0.0267950 | + | 0.00826516i | ||||
\(799\) | 3.33478e12 | + | 8.49689e12i | 0.289472 | + | 0.737563i | ||||
\(800\) | 2.32756e12 | − | 1.58691e12i | 0.200908 | − | 0.136977i | ||||
\(801\) | −3.11160e13 | − | 1.49847e13i | −2.67078 | − | 1.28618i | ||||
\(802\) | −6.73424e11 | − | 6.24846e11i | −0.0574783 | − | 0.0533320i | ||||
\(803\) | 4.05952e12 | − | 6.11874e11i | 0.344552 | − | 0.0519328i | ||||
\(804\) | −4.12202e11 | + | 5.50046e12i | −0.0347903 | + | 0.464244i | ||||
\(805\) | −9.99854e10 | + | 2.54759e11i | −0.00839180 | + | 0.0213820i | ||||
\(806\) | 3.69956e11 | + | 1.62088e12i | 0.0308775 | + | 0.135283i | ||||
\(807\) | −2.28446e12 | − | 3.04841e13i | −0.189607 | − | 2.53012i | ||||
\(808\) | 1.09606e13 | + | 3.38091e12i | 0.904658 | + | 0.279050i | ||||
\(809\) | 1.92825e13 | − | 9.28596e12i | 1.58269 | − | 0.762182i | 0.583919 | − | 0.811812i | \(-0.301519\pi\) |
0.998768 | + | 0.0496304i | \(0.0158043\pi\) | |||||||
\(810\) | −2.09947e13 | + | 3.63638e13i | −1.71367 | + | 2.96816i | ||||
\(811\) | 8.96249e12 | + | 1.55235e13i | 0.727503 | + | 1.26007i | 0.957935 | + | 0.286984i | \(0.0926527\pi\) |
−0.230432 | + | 0.973088i | \(0.574014\pi\) | |||||||
\(812\) | −1.23797e11 | − | 8.44037e10i | −0.00999331 | − | 0.00681333i | ||||
\(813\) | −3.50800e12 | + | 1.53696e13i | −0.281613 | + | 1.23383i | ||||
\(814\) | −5.47271e12 | − | 8.24878e11i | −0.436910 | − | 0.0658536i | ||||
\(815\) | −7.18801e12 | − | 9.01348e12i | −0.570689 | − | 0.715622i | ||||
\(816\) | 1.49784e13 | 1.18266 | ||||||||
\(817\) | −7.44637e12 | + | 7.86797e11i | −0.584716 | + | 0.0617822i | ||||
\(818\) | −2.12172e13 | −1.65690 | ||||||||
\(819\) | 3.51847e10 | + | 4.41203e10i | 0.00273260 | + | 0.00342658i | ||||
\(820\) | 1.73260e12 | + | 2.61148e11i | 0.133825 | + | 0.0201709i | ||||
\(821\) | −1.06717e12 | + | 4.67559e12i | −0.0819767 | + | 0.359163i | −0.999234 | − | 0.0391317i | \(-0.987541\pi\) |
0.917257 | + | 0.398295i | \(0.130398\pi\) | |||||||
\(822\) | 2.86452e13 | + | 1.95299e13i | 2.18841 | + | 1.49203i | ||||
\(823\) | 7.99230e12 | + | 1.38431e13i | 0.607257 | + | 1.05180i | 0.991690 | + | 0.128647i | \(0.0410636\pi\) |
−0.384433 | + | 0.923153i | \(0.625603\pi\) | |||||||
\(824\) | −3.02729e12 | + | 5.24342e12i | −0.228761 | + | 0.396225i | ||||
\(825\) | 4.30070e12 | − | 2.07111e12i | 0.323218 | − | 0.155654i | ||||
\(826\) | 3.88712e11 | + | 1.19902e11i | 0.0290548 | + | 0.00896221i | ||||
\(827\) | 4.22012e11 | + | 5.63136e12i | 0.0313726 | + | 0.418638i | 0.990674 | + | 0.136254i | \(0.0435063\pi\) |
−0.959301 | + | 0.282384i | \(0.908875\pi\) | |||||||
\(828\) | 1.95165e12 | + | 8.55074e12i | 0.144300 | + | 0.632218i | ||||
\(829\) | −4.56572e11 | + | 1.16333e12i | −0.0335748 | + | 0.0855473i | −0.946678 | − | 0.322181i | \(-0.895584\pi\) |
0.913103 | + | 0.407729i | \(0.133679\pi\) | |||||||
\(830\) | 1.60491e12 | − | 2.14160e13i | 0.117381 | − | 1.56635i | ||||
\(831\) | 1.49241e13 | − | 2.24945e12i | 1.08564 | − | 0.163633i | ||||
\(832\) | 4.29708e11 | + | 3.98711e11i | 0.0310899 | + | 0.0288472i | ||||
\(833\) | −6.57435e12 | − | 3.16604e12i | −0.473097 | − | 0.227831i | ||||
\(834\) | −3.12018e13 | + | 2.12730e13i | −2.23322 | + | 1.52259i | ||||
\(835\) | 4.66364e12 | + | 1.18828e13i | 0.331998 | + | 0.845918i | ||||
\(836\) | 1.15902e12 | − | 3.57509e11i | 0.0820657 | − | 0.0253139i | ||||
\(837\) | 4.23584e13 | − | 3.93029e13i | 2.98315 | − | 2.76796i | ||||
\(838\) | 2.42337e12 | − | 3.03881e12i | 0.169755 | − | 0.212866i | ||||
\(839\) | 8.69912e12 | − | 1.09084e13i | 0.606103 | − | 0.760029i | −0.380212 | − | 0.924899i | \(-0.624149\pi\) |
0.986315 | + | 0.164870i | \(0.0527205\pi\) | |||||||
\(840\) | −4.14128e11 | + | 3.84255e11i | −0.0286997 | + | 0.0266295i | ||||
\(841\) | 2.84386e13 | − | 8.77214e12i | 1.96031 | − | 0.604677i | ||||
\(842\) | 5.20475e12 | + | 1.32615e13i | 0.356858 | + | 0.909260i | ||||
\(843\) | 1.29999e13 | − | 8.86317e12i | 0.886575 | − | 0.604456i | ||||
\(844\) | 4.22896e12 | + | 2.03656e12i | 0.286875 | + | 0.138152i | ||||
\(845\) | −1.28082e13 | − | 1.18843e13i | −0.864239 | − | 0.801897i | ||||
\(846\) | −6.20866e13 | + | 9.35805e12i | −4.16708 | + | 0.628086i | ||||
\(847\) | 1.95012e10 | − | 2.60226e11i | 0.00130193 | − | 0.0173730i | ||||
\(848\) | −8.21176e12 | + | 2.09232e13i | −0.545324 | + | 1.38946i | ||||
\(849\) | 8.63191e12 | + | 3.78189e13i | 0.570193 | + | 2.49818i | ||||
\(850\) | 2.78707e11 | + | 3.71908e12i | 0.0183131 | + | 0.244372i | ||||
\(851\) | −1.02638e13 | − | 3.16597e12i | −0.670852 | − | 0.206930i | ||||
\(852\) | 2.58432e12 | − | 1.24454e12i | 0.168023 | − | 0.0809155i | ||||
\(853\) | 9.13727e11 | − | 1.58262e12i | 0.0590943 | − | 0.102354i | −0.834965 | − | 0.550303i | \(-0.814512\pi\) |
0.894059 | + | 0.447949i | \(0.147845\pi\) | |||||||
\(854\) | −3.65482e11 | − | 6.33033e11i | −0.0235129 | − | 0.0407255i | ||||
\(855\) | 2.20051e13 | + | 1.50028e13i | 1.40823 | + | 0.960118i | ||||
\(856\) | −1.16670e12 | + | 5.11164e12i | −0.0742722 | + | 0.325408i | ||||
\(857\) | −6.72283e12 | − | 1.01330e12i | −0.425734 | − | 0.0641691i | −0.0673193 | − | 0.997731i | \(-0.521445\pi\) |
−0.358415 | + | 0.933562i | \(0.616683\pi\) | |||||||
\(858\) | −7.94913e11 | − | 9.96789e11i | −0.0500757 | − | 0.0627929i | ||||
\(859\) | −2.36438e13 | −1.48166 | −0.740830 | − | 0.671692i | \(-0.765568\pi\) | ||||
−0.740830 | + | 0.671692i | \(0.765568\pi\) | |||||||
\(860\) | 4.98713e12 | − | 3.08563e12i | 0.310890 | − | 0.192354i | ||||
\(861\) | −2.48915e11 | −0.0154361 | ||||||||
\(862\) | −5.80467e12 | − | 7.27883e12i | −0.358092 | − | 0.449033i | ||||
\(863\) | 3.05326e13 | + | 4.60205e12i | 1.87376 | + | 0.282424i | 0.984555 | − | 0.175077i | \(-0.0560173\pi\) |
0.889209 | + | 0.457501i | \(0.151255\pi\) | |||||||
\(864\) | −5.81907e12 | + | 2.54950e13i | −0.355256 | + | 1.55648i | ||||
\(865\) | 1.33366e13 | + | 9.09272e12i | 0.809976 | + | 0.552232i | ||||
\(866\) | 5.00822e12 | + | 8.67449e12i | 0.302589 | + | 0.524099i | ||||
\(867\) | 1.11754e13 | − | 1.93564e13i | 0.671704 | − | 1.16343i | ||||
\(868\) | −1.58553e11 | + | 7.63553e10i | −0.00948062 | + | 0.00456563i | ||||
\(869\) | 1.07163e13 | + | 3.30554e12i | 0.637465 | + | 0.196632i | ||||
\(870\) | 5.55467e12 | + | 7.41219e13i | 0.328716 | + | 4.38642i | ||||
\(871\) | −2.45698e11 | − | 1.07647e12i | −0.0144650 | − | 0.0633754i | ||||
\(872\) | −1.91455e12 | + | 4.87820e12i | −0.112136 | + | 0.285717i | ||||
\(873\) | 4.94999e11 | − | 6.60531e12i | 0.0288430 | − | 0.384883i | ||||
\(874\) | 9.88203e12 | − | 1.48948e12i | 0.572855 | − | 0.0863440i | ||||
\(875\) | 2.00691e11 | + | 1.86214e11i | 0.0115742 | + | 0.0107393i | ||||
\(876\) | −6.59887e12 | − | 3.17785e12i | −0.378618 | − | 0.182333i | ||||
\(877\) | 1.39298e13 | − | 9.49719e12i | 0.795147 | − | 0.542122i | −0.0962439 | − | 0.995358i | \(-0.530683\pi\) |
0.891391 | + | 0.453236i | \(0.149731\pi\) | |||||||
\(878\) | −1.46691e13 | − | 3.73762e13i | −0.833063 | − | 2.12261i | ||||
\(879\) | −3.94440e13 | + | 1.21669e13i | −2.22859 | + | 0.687430i | ||||
\(880\) | 8.89890e12 | − | 8.25697e12i | 0.500224 | − | 0.464140i | ||||
\(881\) | −1.12849e13 | + | 1.41508e13i | −0.631113 | + | 0.791391i | −0.989860 | − | 0.142044i | \(-0.954633\pi\) |
0.358747 | + | 0.933435i | \(0.383204\pi\) | |||||||
\(882\) | 3.12953e13 | − | 3.92431e13i | 1.74129 | − | 2.18351i | ||||
\(883\) | 2.09670e12 | − | 1.94546e12i | 0.116068 | − | 0.107696i | −0.620004 | − | 0.784599i | \(-0.712869\pi\) |
0.736072 | + | 0.676903i | \(0.236678\pi\) | |||||||
\(884\) | 2.24205e11 | − | 6.91579e10i | 0.0123484 | − | 0.00380896i | ||||
\(885\) | −1.73654e13 | − | 4.42464e13i | −0.951571 | − | 2.42456i | ||||
\(886\) | −6.88297e11 | + | 4.69273e11i | −0.0375253 | + | 0.0255843i | ||||
\(887\) | −1.00924e12 | − | 4.86024e11i | −0.0547442 | − | 0.0263634i | 0.406311 | − | 0.913735i | \(-0.366815\pi\) |
−0.461056 | + | 0.887371i | \(0.652529\pi\) | |||||||
\(888\) | −1.62533e13 | − | 1.50809e13i | −0.877170 | − | 0.813895i | ||||
\(889\) | −5.52065e11 | + | 8.32104e10i | −0.0296437 | + | 0.00446807i | ||||
\(890\) | 2.30324e12 | − | 3.07346e13i | 0.123051 | − | 1.64200i | ||||
\(891\) | −8.22875e12 | + | 2.09665e13i | −0.437405 | + | 1.11449i | ||||
\(892\) | −2.27027e12 | − | 9.94671e12i | −0.120070 | − | 0.526063i | ||||
\(893\) | 1.25931e12 | + | 1.68043e13i | 0.0662675 | + | 0.884278i | ||||
\(894\) | −1.26022e13 | − | 3.88726e12i | −0.659822 | − | 0.203528i | ||||
\(895\) | −4.00327e13 | + | 1.92787e13i | −2.08550 | + | 1.00433i | ||||
\(896\) | −2.60954e11 | + | 4.51985e11i | −0.0135263 | + | 0.0234282i | ||||
\(897\) | −1.23716e12 | − | 2.14282e12i | −0.0638057 | − | 0.110515i | ||||
\(898\) | −2.57980e13 | − | 1.75888e13i | −1.32386 | − | 0.902594i | ||||
\(899\) | 1.15696e13 | − | 5.06899e13i | 0.590746 | − | 2.58823i | ||||
\(900\) | −5.97514e12 | − | 9.00608e11i | −0.303569 | − | 0.0457556i | ||||
\(901\) | −7.97226e12 | − | 9.99690e12i | −0.403014 | − | 0.505363i | ||||
\(902\) | 3.99031e12 | 0.200714 | ||||||||
\(903\) | −6.35229e11 | + | 5.39043e11i | −0.0317933 | + | 0.0269792i | ||||
\(904\) | 5.71047e12 | 0.284390 | ||||||||
\(905\) | −2.47474e13 | − | 3.10322e13i | −1.22634 | − | 1.53778i | ||||
\(906\) | −1.28165e13 | − | 1.93177e12i | −0.631962 | − | 0.0952529i | ||||
\(907\) | −6.73214e12 | + | 2.94954e13i | −0.330309 | + | 1.44718i | 0.488224 | + | 0.872719i | \(0.337645\pi\) |
−0.818533 | + | 0.574460i | \(0.805212\pi\) | |||||||
\(908\) | 7.86594e12 | + | 5.36291e12i | 0.384029 | + | 0.261827i | ||||
\(909\) | −3.00822e13 | − | 5.21038e13i | −1.46141 | − | 2.53123i | ||||
\(910\) | −2.51805e10 | + | 4.36139e10i | −0.00121725 | + | 0.00210833i | ||||
\(911\) | −3.63232e11 | + | 1.74923e11i | −0.0174724 | + | 0.00841425i | −0.442600 | − | 0.896719i | \(-0.645944\pi\) |
0.425127 | + | 0.905134i | \(0.360229\pi\) | |||||||
\(912\) | 2.64238e13 | + | 8.15067e12i | 1.26479 | + | 0.390136i | ||||
\(913\) | −8.60890e11 | − | 1.14878e13i | −0.0410043 | − | 0.547164i | ||||
\(914\) | −7.22917e12 | − | 3.16730e13i | −0.342634 | − | 1.50118i | ||||
\(915\) | −3.12046e13 | + | 7.95079e13i | −1.47171 | + | 3.74986i | ||||
\(916\) | 7.58345e11 | − | 1.01194e13i | 0.0355908 | − | 0.474926i | ||||
\(917\) | 2.29724e11 | − | 3.46254e10i | 0.0107286 | − | 0.00161708i | ||||
\(918\) | −2.53789e13 | − | 2.35482e13i | −1.17945 | − | 1.09437i | ||||
\(919\) | 1.07004e13 | + | 5.15304e12i | 0.494857 | + | 0.238311i | 0.664630 | − | 0.747173i | \(-0.268589\pi\) |
−0.169773 | + | 0.985483i | \(0.554303\pi\) | |||||||
\(920\) | 1.45220e13 | − | 9.90095e12i | 0.668316 | − | 0.455650i | ||||
\(921\) | −5.67611e12 | − | 1.44625e13i | −0.259946 | − | 0.662331i | ||||
\(922\) | 3.40725e13 | − | 1.05100e13i | 1.55280 | − | 0.478975i | ||||
\(923\) | −4.20907e11 | + | 3.90545e11i | −0.0190888 | + | 0.0177118i | ||||
\(924\) | 8.41406e10 | − | 1.05509e11i | 0.00379736 | − | 0.00476174i | ||||
\(925\) | 4.61392e12 | − | 5.78567e12i | 0.207220 | − | 0.259846i | ||||
\(926\) | 1.79896e13 | − | 1.66920e13i | 0.804032 | − | 0.746032i | ||||
\(927\) | 3.03469e13 | − | 9.36079e12i | 1.34976 | − | 0.416345i | ||||
\(928\) | 8.59656e12 | + | 2.19037e13i | 0.380504 | + | 0.969508i | ||||
\(929\) | −1.75778e13 | + | 1.19844e13i | −0.774274 | + | 0.527891i | −0.884794 | − | 0.465983i | \(-0.845701\pi\) |
0.110520 | + | 0.993874i | \(0.464748\pi\) | |||||||
\(930\) | 7.86560e13 | + | 3.78787e13i | 3.44793 | + | 1.66044i | ||||
\(931\) | −9.87518e12 | − | 9.16283e12i | −0.430796 | − | 0.399720i | ||||
\(932\) | −1.03120e13 | + | 1.55428e12i | −0.447683 | + | 0.0674774i | ||||
\(933\) | −4.90493e12 | + | 6.54518e13i | −0.211917 | + | 2.82783i | ||||
\(934\) | 3.31983e12 | − | 8.45880e12i | 0.142743 | − | 0.363704i | ||||
\(935\) | 1.53669e12 | + | 6.73269e12i | 0.0657559 | + | 0.288095i | ||||
\(936\) | −2.70834e11 | − | 3.61403e12i | −0.0115335 | − | 0.153904i | ||||
\(937\) | −1.16193e13 | − | 3.58406e12i | −0.492436 | − | 0.151896i | 0.0385844 | − | 0.999255i | \(-0.487715\pi\) |
−0.531021 | + | 0.847359i | \(0.678191\pi\) | |||||||
\(938\) | 4.47053e11 | − | 2.15289e11i | 0.0188558 | − | 0.00908050i | ||||
\(939\) | −2.77766e12 | + | 4.81105e12i | −0.116596 | + | 0.201950i | ||||
\(940\) | −6.59908e12 | − | 1.14299e13i | −0.275682 | − | 0.477495i | ||||
\(941\) | 3.27524e13 | + | 2.23302e13i | 1.36172 | + | 0.928408i | 0.999992 | − | 0.00387393i | \(-0.00123311\pi\) |
0.361732 | + | 0.932282i | \(0.382185\pi\) | |||||||
\(942\) | 9.41460e11 | − | 4.12480e12i | 0.0389559 | − | 0.170677i | ||||
\(943\) | 7.65763e12 | + | 1.15420e12i | 0.315349 | + | 0.0475312i | ||||
\(944\) | −2.18334e13 | − | 2.73783e13i | −0.894845 | − | 1.12210i | ||||
\(945\) | 1.75033e12 | 0.0713965 | ||||||||
\(946\) | 1.01832e13 | − | 8.64130e12i | 0.413405 | − | 0.350808i | ||||
\(947\) | −1.15431e13 | −0.466388 | −0.233194 | − | 0.972430i | \(-0.574918\pi\) | ||||
−0.233194 | + | 0.972430i | \(0.574918\pi\) | |||||||
\(948\) | −1.24743e13 | − | 1.56423e13i | −0.501626 | − | 0.629019i | ||||
\(949\) | 1.44976e12 | + | 2.18516e11i | 0.0580228 | + | 0.00874553i | ||||
\(950\) | −1.53211e12 | + | 6.71262e12i | −0.0610287 | + | 0.267384i | ||||
\(951\) | −4.88442e13 | − | 3.33014e13i | −1.93642 | − | 1.32023i | ||||
\(952\) | −1.18383e11 | − | 2.05046e11i | −0.00467115 | − | 0.00809067i | ||||
\(953\) | −1.98833e13 | + | 3.44389e13i | −0.780856 | + | 1.35248i | 0.150588 | + | 0.988597i | \(0.451883\pi\) |
−0.931444 | + | 0.363885i | \(0.881450\pi\) | |||||||
\(954\) | 7.92445e13 | − | 3.81621e13i | 3.09743 | − | 1.49164i | ||||
\(955\) | −1.29409e13 | − | 3.99175e12i | −0.503443 | − | 0.155292i | ||||
\(956\) | 3.78653e11 | + | 5.05278e12i | 0.0146616 | + | 0.195645i | ||||
\(957\) | 8.87217e12 | + | 3.88715e13i | 0.341921 | + | 1.49806i | ||||
\(958\) | −7.69252e12 | + | 1.96002e13i | −0.295069 | + | 0.751824i | ||||
\(959\) | 5.48962e10 | − | 7.32539e11i | 0.00209584 | − | 0.0279671i | ||||
\(960\) | 3.04371e13 | − | 4.58766e12i | 1.15660 | − | 0.174329i | ||||
\(961\) | −2.53838e13 | − | 2.35528e13i | −0.960068 | − | 0.890813i | ||||
\(962\) | −1.78079e12 | − | 8.57582e11i | −0.0670385 | − | 0.0322840i | ||||
\(963\) | 2.27227e13 | − | 1.54921e13i | 0.851416 | − | 0.580486i | ||||
\(964\) | 2.30531e12 | + | 5.87382e12i | 0.0859769 | + | 0.219066i | ||||
\(965\) | 4.19412e13 | − | 1.29371e13i | 1.55693 | − | 0.480248i | ||||
\(966\) | 8.15097e11 | − | 7.56300e11i | 0.0301170 | − | 0.0279445i | ||||
\(967\) | 1.53827e13 | − | 1.92893e13i | 0.565735 | − | 0.709410i | −0.413871 | − | 0.910335i | \(-0.635824\pi\) |
0.979606 | + | 0.200926i | \(0.0643950\pi\) | |||||||
\(968\) | −1.04491e13 | + | 1.31028e13i | −0.382508 | + | 0.479650i | ||||
\(969\) | −1.15314e13 | + | 1.06996e13i | −0.420169 | + | 0.389860i | ||||
\(970\) | 5.64863e12 | − | 1.74237e12i | 0.204866 | − | 0.0631928i | ||||
\(971\) | −8.21838e12 | − | 2.09401e13i | −0.296688 | − | 0.755949i | −0.999027 | − | 0.0441058i | \(-0.985956\pi\) |
0.702339 | − | 0.711843i | \(-0.252139\pi\) | |||||||
\(972\) | 1.42302e13 | − | 9.70196e12i | 0.511342 | − | 0.348627i | ||||
\(973\) | 7.20916e11 | + | 3.47175e11i | 0.0257856 | + | 0.0124177i | ||||
\(974\) | 6.81414e11 | + | 6.32260e11i | 0.0242603 | + | 0.0225103i | ||||
\(975\) | 1.68567e12 | − | 2.54074e11i | 0.0597382 | − | 0.00900409i | ||||
\(976\) | −4.70241e12 | + | 6.27493e13i | −0.165881 | + | 2.21353i | ||||
\(977\) | −2.57136e12 | + | 6.55171e12i | −0.0902894 | + | 0.230054i | −0.968884 | − | 0.247514i | \(-0.920386\pi\) |
0.878595 | + | 0.477568i | \(0.158482\pi\) | |||||||
\(978\) | 1.04229e13 | + | 4.56655e13i | 0.364302 | + | 1.59611i | ||||
\(979\) | −1.23548e12 | − | 1.64863e13i | −0.0429847 | − | 0.573591i | ||||
\(980\) | 1.00821e13 | + | 3.10991e12i | 0.349167 | + | 0.107704i | ||||
\(981\) | 2.47654e13 | − | 1.19264e13i | 0.853759 | − | 0.411149i | ||||
\(982\) | −1.35942e13 | + | 2.35458e13i | −0.466500 | + | 0.808002i | ||||
\(983\) | 1.85150e13 | + | 3.20689e13i | 0.632458 | + | 1.09545i | 0.987048 | + | 0.160428i | \(0.0512874\pi\) |
−0.354589 | + | 0.935022i | \(0.615379\pi\) | |||||||
\(984\) | 1.32081e13 | + | 9.00512e12i | 0.449119 | + | 0.306204i | ||||
\(985\) | −1.38975e12 | + | 6.08891e12i | −0.0470408 | + | 0.206099i | ||||
\(986\) | −3.08038e13 | − | 4.64293e12i | −1.03791 | − | 0.156439i | ||||
\(987\) | 1.16900e12 | + | 1.46589e12i | 0.0392093 | + | 0.0491669i | ||||
\(988\) | 4.33160e11 | 0.0144624 | ||||||||
\(989\) | 2.20417e13 | − | 1.36376e13i | 0.732592 | − | 0.453269i | ||||
\(990\) | −4.75032e13 | −1.57168 | ||||||||
\(991\) | −1.14553e13 | − | 1.43645e13i | −0.377289 | − | 0.473106i | 0.556542 | − | 0.830819i | \(-0.312128\pi\) |
−0.933831 | + | 0.357714i | \(0.883556\pi\) | |||||||
\(992\) | 2.73280e13 | + | 4.11904e12i | 0.895995 | + | 0.135050i | ||||
\(993\) | −6.94951e12 | + | 3.04478e13i | −0.226821 | + | 0.993766i | ||||
\(994\) | −2.13195e11 | − | 1.45354e11i | −0.00692688 | − | 0.00472267i | ||||
\(995\) | −2.92241e13 | − | 5.06176e13i | −0.945229 | − | 1.63718i | ||||
\(996\) | −1.02761e13 | + | 1.77988e13i | −0.330873 | + | 0.573090i | ||||
\(997\) | −1.71273e13 | + | 8.24806e12i | −0.548984 | + | 0.264377i | −0.687749 | − | 0.725948i | \(-0.741401\pi\) |
0.138765 | + | 0.990325i | \(0.455687\pi\) | |||||||
\(998\) | −3.80078e13 | − | 1.17239e13i | −1.21279 | − | 0.374096i | ||||
\(999\) | 5.13361e12 | + | 6.85033e13i | 0.163072 | + | 2.17604i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 43.10.g.a.9.9 | ✓ | 384 | |
43.24 | even | 21 | inner | 43.10.g.a.24.9 | yes | 384 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.10.g.a.9.9 | ✓ | 384 | 1.1 | even | 1 | trivial | |
43.10.g.a.24.9 | yes | 384 | 43.24 | even | 21 | inner |