Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [38,10,Mod(5,38)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(38, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([16]))
N = Newforms(chi, 10, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("38.5");
S:= CuspForms(chi, 10);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 38 = 2 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 10 \) |
Character orbit: | \([\chi]\) | \(=\) | 38.e (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(19.5713617742\) |
Analytic rank: | \(0\) |
Dimension: | \(42\) |
Relative dimension: | \(7\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 17.2 | ||
Character | \(\chi\) | \(=\) | 38.17 |
Dual form | 38.10.e.a.9.2 |
$q$-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 \(\left(\mathbb{Z}/38\mathbb{Z}\right)^\times\).
\(n\) | \(21\) |
\(\chi(n)\) | \(e\left(\frac{5}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.77837 | + | 15.7569i | −0.122788 | + | 0.696364i | ||||
\(3\) | −110.851 | − | 93.0147i | −0.790119 | − | 0.662989i | 0.155656 | − | 0.987811i | \(-0.450251\pi\) |
−0.945775 | + | 0.324823i | \(0.894695\pi\) | |||||||
\(4\) | −240.561 | − | 87.5572i | −0.469846 | − | 0.171010i | ||||
\(5\) | −143.544 | + | 52.2458i | −0.102712 | + | 0.0373840i | −0.392865 | − | 0.919596i | \(-0.628516\pi\) |
0.290153 | + | 0.956980i | \(0.406294\pi\) | |||||||
\(6\) | 1773.61 | − | 1488.24i | 0.558698 | − | 0.468804i | ||||
\(7\) | −1900.39 | − | 3291.57i | −0.299159 | − | 0.518158i | 0.676785 | − | 0.736181i | \(-0.263373\pi\) |
−0.975944 | + | 0.218023i | \(0.930039\pi\) | |||||||
\(8\) | 2048.00 | − | 3547.24i | 0.176777 | − | 0.306186i | ||||
\(9\) | 218.206 | + | 1237.51i | 0.0110860 | + | 0.0628718i | ||||
\(10\) | −424.414 | − | 2406.97i | −0.0134211 | − | 0.0761151i | ||||
\(11\) | 38540.8 | − | 66754.6i | 0.793694 | − | 1.37472i | −0.129971 | − | 0.991518i | \(-0.541488\pi\) |
0.923665 | − | 0.383201i | \(-0.125178\pi\) | |||||||
\(12\) | 18522.3 | + | 32081.5i | 0.257857 | + | 0.446621i | ||||
\(13\) | −88970.1 | + | 74654.8i | −0.863970 | + | 0.724957i | −0.962820 | − | 0.270145i | \(-0.912928\pi\) |
0.0988491 | + | 0.995102i | \(0.468484\pi\) | |||||||
\(14\) | 57145.1 | − | 20799.1i | 0.397560 | − | 0.144700i | ||||
\(15\) | 20771.6 | + | 7560.24i | 0.105940 | + | 0.0385589i | ||||
\(16\) | 50203.5 | + | 42125.7i | 0.191511 | + | 0.160697i | ||||
\(17\) | −107445. | + | 609351.i | −0.312008 | + | 1.76949i | 0.276518 | + | 0.961009i | \(0.410819\pi\) |
−0.588527 | + | 0.808478i | \(0.700292\pi\) | |||||||
\(18\) | −20105.5 | −0.0451429 | ||||||||
\(19\) | 567816. | + | 16516.6i | 0.999577 | + | 0.0290756i | ||||
\(20\) | 39105.6 | 0.0546518 | ||||||||
\(21\) | −95505.2 | + | 541637.i | −0.107162 | + | 0.607745i | ||||
\(22\) | 944766. | + | 792753.i | 0.859849 | + | 0.721499i | ||||
\(23\) | −1.68708e6 | − | 614045.i | −1.25707 | − | 0.457536i | −0.374285 | − | 0.927314i | \(-0.622112\pi\) |
−0.882785 | + | 0.469778i | \(0.844334\pi\) | |||||||
\(24\) | −556968. | + | 202720.i | −0.342673 | + | 0.124723i | ||||
\(25\) | −1.47831e6 | + | 1.24045e6i | −0.756892 | + | 0.635108i | ||||
\(26\) | −929138. | − | 1.60931e6i | −0.398749 | − | 0.690654i | ||||
\(27\) | −1.33320e6 | + | 2.30917e6i | −0.482789 | + | 0.836216i | ||||
\(28\) | 168960. | + | 958218.i | 0.0519484 | + | 0.294614i | ||||
\(29\) | −387806. | − | 2.19936e6i | −0.101818 | − | 0.577437i | −0.992444 | − | 0.122701i | \(-0.960845\pi\) |
0.890626 | − | 0.454737i | \(-0.150267\pi\) | |||||||
\(30\) | −176837. | + | 306291.i | −0.0398591 | + | 0.0690381i | ||||
\(31\) | 2.89739e6 | + | 5.01842e6i | 0.563481 | + | 0.975977i | 0.997189 | + | 0.0749238i | \(0.0238713\pi\) |
−0.433709 | + | 0.901053i | \(0.642795\pi\) | |||||||
\(32\) | −803256. | + | 674012.i | −0.135419 | + | 0.113630i | ||||
\(33\) | −1.04814e7 | + | 3.81493e6i | −1.53854 | + | 0.559981i | ||||
\(34\) | −9.30297e6 | − | 3.38601e6i | −1.19390 | − | 0.434543i | ||||
\(35\) | 444761. | + | 373198.i | 0.0500980 | + | 0.0420372i | ||||
\(36\) | 55860.7 | − | 316802.i | 0.00554300 | − | 0.0314359i | ||||
\(37\) | 8.15141e6 | 0.715031 | 0.357516 | − | 0.933907i | \(-0.383624\pi\) | ||||
0.357516 | + | 0.933907i | \(0.383624\pi\) | |||||||
\(38\) | −1.83785e6 | + | 8.90114e6i | −0.142983 | + | 0.692500i | ||||
\(39\) | 1.68064e7 | 1.16328 | ||||||||
\(40\) | −108650. | + | 616185.i | −0.00671057 | + | 0.0380576i | ||||
\(41\) | 1.61749e7 | + | 1.35724e7i | 0.893954 | + | 0.750116i | 0.968999 | − | 0.247064i | \(-0.0794657\pi\) |
−0.0750453 | + | 0.997180i | \(0.523910\pi\) | |||||||
\(42\) | −8.26919e6 | − | 3.00974e6i | −0.410054 | − | 0.149247i | ||||
\(43\) | −1.50081e7 | + | 5.46250e6i | −0.669449 | + | 0.243660i | −0.654311 | − | 0.756226i | \(-0.727041\pi\) |
−0.0151386 | + | 0.999885i | \(0.504819\pi\) | |||||||
\(44\) | −1.51163e7 | + | 1.26840e7i | −0.608005 | + | 0.510177i | ||||
\(45\) | −95976.6 | − | 166236.i | −0.00348907 | − | 0.00604324i | ||||
\(46\) | 1.43628e7 | − | 2.48771e7i | 0.472964 | − | 0.819198i | ||||
\(47\) | 1.01224e7 | + | 5.74068e7i | 0.302581 | + | 1.71602i | 0.634677 | + | 0.772778i | \(0.281133\pi\) |
−0.332096 | + | 0.943246i | \(0.607756\pi\) | |||||||
\(48\) | −1.64678e6 | − | 9.33933e6i | −0.0447764 | − | 0.253939i | ||||
\(49\) | 1.29538e7 | − | 2.24367e7i | 0.321008 | − | 0.556002i | ||||
\(50\) | −1.54383e7 | − | 2.67400e7i | −0.349329 | − | 0.605056i | ||||
\(51\) | 6.85889e7 | − | 5.75530e7i | 1.41967 | − | 1.19125i | ||||
\(52\) | 2.79393e7 | − | 1.01691e7i | 0.529908 | − | 0.192871i | ||||
\(53\) | 9.33844e6 | + | 3.39891e6i | 0.162567 | + | 0.0591696i | 0.422022 | − | 0.906586i | \(-0.361321\pi\) |
−0.259455 | + | 0.965755i | \(0.583543\pi\) | |||||||
\(54\) | −3.26813e7 | − | 2.74228e7i | −0.523030 | − | 0.438874i | ||||
\(55\) | −2.04466e6 | + | 1.15958e7i | −0.0301292 | + | 0.170871i | ||||
\(56\) | −1.55680e7 | −0.211537 | ||||||||
\(57\) | −6.14065e7 | − | 5.46461e7i | −0.770508 | − | 0.685681i | ||||
\(58\) | 3.57326e7 | 0.414609 | ||||||||
\(59\) | 2.28878e7 | − | 1.29803e8i | 0.245907 | − | 1.39461i | −0.572471 | − | 0.819925i | \(-0.694015\pi\) |
0.818378 | − | 0.574681i | \(-0.194874\pi\) | |||||||
\(60\) | −4.33489e6 | − | 3.63740e6i | −0.0431814 | − | 0.0362335i | ||||
\(61\) | 1.76481e6 | + | 642337.i | 0.0163197 | + | 0.00593990i | 0.350167 | − | 0.936687i | \(-0.386125\pi\) |
−0.333847 | + | 0.942627i | \(0.608347\pi\) | |||||||
\(62\) | −8.71249e7 | + | 3.17109e7i | −0.748824 | + | 0.272550i | ||||
\(63\) | 3.65867e6 | − | 3.06999e6i | 0.0292611 | − | 0.0245530i | ||||
\(64\) | −8.38861e6 | − | 1.45295e7i | −0.0625000 | − | 0.108253i | ||||
\(65\) | 8.87073e6 | − | 1.53646e7i | 0.0616381 | − | 0.106760i | ||||
\(66\) | −3.09902e7 | − | 1.75754e8i | −0.201037 | − | 1.14014i | ||||
\(67\) | 2.23870e7 | + | 1.26963e8i | 0.135725 | + | 0.769735i | 0.974352 | + | 0.225029i | \(0.0722476\pi\) |
−0.838627 | + | 0.544706i | \(0.816641\pi\) | |||||||
\(68\) | 7.92001e7 | − | 1.37179e8i | 0.449196 | − | 0.778030i | ||||
\(69\) | 1.29898e8 | + | 2.24990e8i | 0.689893 | + | 1.19493i | ||||
\(70\) | −7.11617e6 | + | 5.97118e6i | −0.0354246 | + | 0.0297248i | ||||
\(71\) | 6.28412e6 | − | 2.28723e6i | 0.0293482 | − | 0.0106819i | −0.327304 | − | 0.944919i | \(-0.606140\pi\) |
0.356653 | + | 0.934237i | \(0.383918\pi\) | |||||||
\(72\) | 4.83662e6 | + | 1.76038e6i | 0.0212102 | + | 0.00771989i | ||||
\(73\) | −8.99732e7 | − | 7.54965e7i | −0.370817 | − | 0.311153i | 0.438267 | − | 0.898845i | \(-0.355592\pi\) |
−0.809085 | + | 0.587692i | \(0.800037\pi\) | |||||||
\(74\) | −2.26476e7 | + | 1.28441e8i | −0.0877971 | + | 0.497922i | ||||
\(75\) | 2.79251e8 | 1.01910 | ||||||||
\(76\) | −1.35148e8 | − | 5.36896e7i | −0.464675 | − | 0.184599i | ||||
\(77\) | −2.92970e8 | −0.949762 | ||||||||
\(78\) | −4.66944e7 | + | 2.64817e8i | −0.142836 | + | 0.810065i | ||||
\(79\) | 1.33043e8 | + | 1.11636e8i | 0.384299 | + | 0.322465i | 0.814387 | − | 0.580322i | \(-0.197073\pi\) |
−0.430089 | + | 0.902787i | \(0.641518\pi\) | |||||||
\(80\) | −9.40731e6 | − | 3.42398e6i | −0.0256779 | − | 0.00934601i | ||||
\(81\) | 3.85814e8 | − | 1.40425e8i | 0.995854 | − | 0.362461i | ||||
\(82\) | −2.58799e8 | + | 2.17158e8i | −0.632121 | + | 0.530412i | ||||
\(83\) | 2.21950e8 | + | 3.84429e8i | 0.513339 | + | 0.889129i | 0.999880 | + | 0.0154714i | \(0.00492491\pi\) |
−0.486542 | + | 0.873657i | \(0.661742\pi\) | |||||||
\(84\) | 7.03991e7 | − | 1.21935e8i | 0.154280 | − | 0.267221i | ||||
\(85\) | −1.64129e7 | − | 9.30823e7i | −0.0341036 | − | 0.193411i | ||||
\(86\) | −4.43742e7 | − | 2.51658e8i | −0.0874756 | − | 0.496099i | ||||
\(87\) | −1.61584e8 | + | 2.79872e8i | −0.302386 | + | 0.523748i | ||||
\(88\) | −1.57863e8 | − | 2.73427e8i | −0.280613 | − | 0.486036i | ||||
\(89\) | −8.52775e8 | + | 7.15563e8i | −1.44072 | + | 1.20891i | −0.501699 | + | 0.865042i | \(0.667292\pi\) |
−0.939019 | + | 0.343865i | \(0.888264\pi\) | |||||||
\(90\) | 2.88603e6 | − | 1.05043e6i | 0.00463671 | − | 0.00168762i | ||||
\(91\) | 4.14809e8 | + | 1.50978e8i | 0.634107 | + | 0.230796i | ||||
\(92\) | 3.52081e8 | + | 2.95431e8i | 0.512386 | + | 0.429943i | ||||
\(93\) | 1.45610e8 | − | 8.25795e8i | 0.201845 | − | 1.14472i | ||||
\(94\) | −9.32679e8 | −1.23213 | ||||||||
\(95\) | −8.23695e7 | + | 2.72951e7i | −0.103755 | + | 0.0343818i | ||||
\(96\) | 1.51734e8 | 0.182332 | ||||||||
\(97\) | 1.52899e8 | − | 8.67134e8i | 0.175361 | − | 0.994520i | −0.762366 | − | 0.647146i | \(-0.775962\pi\) |
0.937727 | − | 0.347374i | \(-0.112926\pi\) | |||||||
\(98\) | 3.17543e8 | + | 2.66450e8i | 0.347764 | + | 0.291809i | ||||
\(99\) | 9.10190e7 | + | 3.31282e7i | 0.0952300 | + | 0.0346609i | ||||
\(100\) | 4.64233e8 | − | 1.68967e8i | 0.464233 | − | 0.168967i | ||||
\(101\) | −1.10551e9 | + | 9.27637e8i | −1.05711 | + | 0.887017i | −0.993823 | − | 0.110979i | \(-0.964601\pi\) |
−0.0632827 | + | 0.997996i | \(0.520157\pi\) | |||||||
\(102\) | 7.16292e8 | + | 1.24065e9i | 0.655223 | + | 1.13488i | ||||
\(103\) | −7.52246e8 | + | 1.30293e9i | −0.658555 | + | 1.14065i | 0.322435 | + | 0.946592i | \(0.395499\pi\) |
−0.980990 | + | 0.194059i | \(0.937835\pi\) | |||||||
\(104\) | 8.26076e7 | + | 4.68491e8i | 0.0692421 | + | 0.392691i | ||||
\(105\) | −1.45890e7 | − | 8.27386e7i | −0.0117132 | − | 0.0664288i | ||||
\(106\) | −7.95021e7 | + | 1.37702e8i | −0.0611649 | + | 0.105941i | ||||
\(107\) | −5.89639e8 | − | 1.02128e9i | −0.434870 | − | 0.753216i | 0.562415 | − | 0.826855i | \(-0.309872\pi\) |
−0.997285 | + | 0.0736385i | \(0.976539\pi\) | |||||||
\(108\) | 5.22900e8 | − | 4.38765e8i | 0.369838 | − | 0.310331i | ||||
\(109\) | −1.26520e9 | + | 4.60496e8i | −0.858501 | + | 0.312469i | −0.733501 | − | 0.679688i | \(-0.762115\pi\) |
−0.125000 | + | 0.992157i | \(0.539893\pi\) | |||||||
\(110\) | −1.77034e8 | − | 6.44349e7i | −0.115289 | − | 0.0419618i | ||||
\(111\) | −9.03589e8 | − | 7.58201e8i | −0.564960 | − | 0.474058i | ||||
\(112\) | 4.32537e7 | − | 2.45304e8i | 0.0259742 | − | 0.147307i | ||||
\(113\) | 1.67708e8 | 0.0967611 | 0.0483806 | − | 0.998829i | \(-0.484594\pi\) | ||||
0.0483806 | + | 0.998829i | \(0.484594\pi\) | |||||||
\(114\) | 1.03166e9 | − | 8.15750e8i | 0.572093 | − | 0.452361i | ||||
\(115\) | 2.74251e8 | 0.146220 | ||||||||
\(116\) | −9.92783e7 | + | 5.63035e8i | −0.0509089 | + | 0.288719i | ||||
\(117\) | −1.11800e8 | − | 9.38109e7i | −0.0551574 | − | 0.0462825i | ||||
\(118\) | 1.98171e9 | + | 7.21283e8i | 0.940959 | + | 0.342481i | ||||
\(119\) | 2.20991e9 | − | 8.04341e8i | 1.01021 | − | 0.367688i | ||||
\(120\) | 6.93582e7 | − | 5.81984e7i | 0.0305339 | − | 0.0256210i | ||||
\(121\) | −1.79181e9 | − | 3.10350e9i | −0.759901 | − | 1.31619i | ||||
\(122\) | −1.50246e7 | + | 2.60233e7i | −0.00614020 | + | 0.0106351i | ||||
\(123\) | −5.30570e8 | − | 3.00901e9i | −0.209011 | − | 1.18536i | ||||
\(124\) | −2.57601e8 | − | 1.46093e9i | −0.0978474 | − | 0.554920i | ||||
\(125\) | 2.96570e8 | − | 5.13675e8i | 0.108651 | − | 0.188188i | ||||
\(126\) | 3.82084e7 | + | 6.61789e7i | 0.0135049 | + | 0.0233912i | ||||
\(127\) | 3.11722e9 | − | 2.61566e9i | 1.06329 | − | 0.892204i | 0.0688597 | − | 0.997626i | \(-0.478064\pi\) |
0.994428 | + | 0.105422i | \(0.0336195\pi\) | |||||||
\(128\) | 2.52247e8 | − | 9.18103e7i | 0.0830579 | − | 0.0302306i | ||||
\(129\) | 2.17175e9 | + | 7.90453e8i | 0.690488 | + | 0.251317i | ||||
\(130\) | 2.17452e8 | + | 1.82464e8i | 0.0667757 | + | 0.0560315i | ||||
\(131\) | −1.21058e8 | + | 6.86557e8i | −0.0359149 | + | 0.203683i | −0.997485 | − | 0.0708755i | \(-0.977421\pi\) |
0.961570 | + | 0.274559i | \(0.0885318\pi\) | |||||||
\(132\) | 2.85545e9 | 0.818638 | ||||||||
\(133\) | −1.02471e9 | − | 1.90040e9i | −0.283966 | − | 0.526637i | ||||
\(134\) | −2.06275e9 | −0.552681 | ||||||||
\(135\) | 7.07285e7 | − | 4.01121e8i | 0.0183270 | − | 0.103938i | ||||
\(136\) | 1.94147e9 | + | 1.62908e9i | 0.486637 | + | 0.408337i | ||||
\(137\) | 1.44789e9 | + | 5.26988e8i | 0.351150 | + | 0.127808i | 0.511572 | − | 0.859240i | \(-0.329063\pi\) |
−0.160422 | + | 0.987048i | \(0.551286\pi\) | |||||||
\(138\) | −3.90606e9 | + | 1.42169e9i | −0.916817 | + | 0.333694i | ||||
\(139\) | −3.47463e9 | + | 2.91556e9i | −0.789481 | + | 0.662454i | −0.945617 | − | 0.325282i | \(-0.894541\pi\) |
0.156136 | + | 0.987736i | \(0.450096\pi\) | |||||||
\(140\) | −7.43160e7 | − | 1.28719e8i | −0.0163496 | − | 0.0283183i | ||||
\(141\) | 4.21761e9 | − | 7.30511e9i | 0.898629 | − | 1.55647i | ||||
\(142\) | 1.85801e7 | + | 1.05373e8i | 0.00383488 | + | 0.0217487i | ||||
\(143\) | 1.55457e9 | + | 8.81641e9i | 0.310884 | + | 1.76311i | ||||
\(144\) | −4.11762e7 | + | 7.13192e7i | −0.00798022 | + | 0.0138221i | ||||
\(145\) | 1.70574e8 | + | 2.95443e8i | 0.0320448 | + | 0.0555032i | ||||
\(146\) | 1.43957e9 | − | 1.20794e9i | 0.262208 | − | 0.220018i | ||||
\(147\) | −3.52288e9 | + | 1.28222e9i | −0.622258 | + | 0.226483i | ||||
\(148\) | −1.96091e9 | − | 7.13714e8i | −0.335955 | − | 0.122278i | ||||
\(149\) | 6.14191e9 | + | 5.15367e9i | 1.02086 | + | 0.856601i | 0.989735 | − | 0.142914i | \(-0.0456473\pi\) |
0.0311225 | + | 0.999516i | \(0.490092\pi\) | |||||||
\(150\) | −7.75862e8 | + | 4.40013e9i | −0.125134 | + | 0.709668i | ||||
\(151\) | −6.44872e9 | −1.00943 | −0.504716 | − | 0.863285i | \(-0.668403\pi\) | ||||
−0.504716 | + | 0.863285i | \(0.668403\pi\) | |||||||
\(152\) | 1.22148e9 | − | 1.98035e9i | 0.185605 | − | 0.300917i | ||||
\(153\) | −7.77521e8 | −0.114710 | ||||||||
\(154\) | 8.13979e8 | − | 4.61631e9i | 0.116619 | − | 0.661380i | ||||
\(155\) | −6.78094e8 | − | 5.68989e8i | −0.0943620 | − | 0.0791792i | ||||
\(156\) | −4.04296e9 | − | 1.47152e9i | −0.546562 | − | 0.198932i | ||||
\(157\) | −6.92195e9 | + | 2.51938e9i | −0.909243 | + | 0.330937i | −0.753951 | − | 0.656931i | \(-0.771854\pi\) |
−0.155293 | + | 0.987869i | \(0.549632\pi\) | |||||||
\(158\) | −2.12868e9 | + | 1.78618e9i | −0.271740 | + | 0.228017i | ||||
\(159\) | −7.19023e8 | − | 1.24538e9i | −0.0892187 | − | 0.154531i | ||||
\(160\) | 8.00884e7 | − | 1.38717e8i | 0.00966117 | − | 0.0167336i | ||||
\(161\) | 1.18493e9 | + | 6.72006e9i | 0.138987 | + | 0.788237i | ||||
\(162\) | 1.14073e9 | + | 6.46940e9i | 0.130126 | + | 0.737983i | ||||
\(163\) | 8.28538e8 | − | 1.43507e9i | 0.0919323 | − | 0.159231i | −0.816392 | − | 0.577498i | \(-0.804029\pi\) |
0.908324 | + | 0.418267i | \(0.137362\pi\) | |||||||
\(164\) | −2.70270e9 | − | 4.68122e9i | −0.291743 | − | 0.505315i | ||||
\(165\) | 1.30523e9 | − | 1.09522e9i | 0.137091 | − | 0.115033i | ||||
\(166\) | −6.67408e9 | + | 2.42917e9i | −0.682189 | + | 0.248297i | ||||
\(167\) | −2.32838e9 | − | 8.47459e8i | −0.231648 | − | 0.0843130i | 0.223588 | − | 0.974684i | \(-0.428223\pi\) |
−0.455236 | + | 0.890371i | \(0.650445\pi\) | |||||||
\(168\) | 1.72572e9 | + | 1.44805e9i | 0.167140 | + | 0.140247i | ||||
\(169\) | 5.00890e8 | − | 2.84069e9i | 0.0472337 | − | 0.267876i | ||||
\(170\) | 1.51229e9 | 0.138872 | ||||||||
\(171\) | 1.03461e8 | + | 7.06280e8i | 0.00925328 | + | 0.0631676i | ||||
\(172\) | 4.08865e9 | 0.356207 | ||||||||
\(173\) | 1.42537e9 | − | 8.08370e9i | 0.120982 | − | 0.686124i | −0.862631 | − | 0.505834i | \(-0.831185\pi\) |
0.983613 | − | 0.180291i | \(-0.0577039\pi\) | |||||||
\(174\) | −3.96098e9 | − | 3.32365e9i | −0.327590 | − | 0.274881i | ||||
\(175\) | 6.89237e9 | + | 2.50862e9i | 0.555517 | + | 0.202192i | ||||
\(176\) | 4.74697e9 | − | 1.72775e9i | 0.372914 | − | 0.135730i | ||||
\(177\) | −1.46107e10 | + | 1.22599e10i | −1.11890 | + | 0.938871i | ||||
\(178\) | −8.90574e9 | − | 1.54252e10i | −0.664937 | − | 1.15170i | ||||
\(179\) | −1.01310e10 | + | 1.75475e10i | −0.737591 | + | 1.27754i | 0.215986 | + | 0.976396i | \(0.430703\pi\) |
−0.953577 | + | 0.301148i | \(0.902630\pi\) | |||||||
\(180\) | 8.53308e6 | + | 4.83935e7i | 0.000605870 | + | 0.00343606i | ||||
\(181\) | 2.27515e7 | + | 1.29030e8i | 0.00157563 | + | 0.00893587i | 0.985585 | − | 0.169178i | \(-0.0541114\pi\) |
−0.984010 | + | 0.178114i | \(0.943000\pi\) | |||||||
\(182\) | −3.53145e9 | + | 6.11665e9i | −0.238579 | + | 0.413230i | ||||
\(183\) | −1.35883e8 | − | 2.35357e8i | −0.00895645 | − | 0.0155130i | ||||
\(184\) | −5.63330e9 | + | 4.72690e9i | −0.362312 | + | 0.304016i | ||||
\(185\) | −1.17009e9 | + | 4.25877e8i | −0.0734422 | + | 0.0267308i | ||||
\(186\) | 1.26074e10 | + | 4.58873e9i | 0.772357 | + | 0.281115i | ||||
\(187\) | 3.65359e10 | + | 3.06573e10i | 2.18491 | + | 1.83335i | ||||
\(188\) | 2.59133e9 | − | 1.46961e10i | 0.151291 | − | 0.858012i | ||||
\(189\) | 1.01344e10 | 0.577723 | ||||||||
\(190\) | −2.01234e8 | − | 1.37373e9i | −0.0112024 | − | 0.0764732i | ||||
\(191\) | 2.69851e10 | 1.46715 | 0.733575 | − | 0.679609i | \(-0.237850\pi\) | ||||
0.733575 | + | 0.679609i | \(0.237850\pi\) | |||||||
\(192\) | −4.21574e8 | + | 2.39087e9i | −0.0223882 | + | 0.126970i | ||||
\(193\) | −1.99413e10 | − | 1.67328e10i | −1.03454 | − | 0.868080i | −0.0431539 | − | 0.999068i | \(-0.513741\pi\) |
−0.991384 | + | 0.130988i | \(0.958185\pi\) | |||||||
\(194\) | 1.32386e10 | + | 4.81844e9i | 0.671016 | + | 0.244230i | ||||
\(195\) | −2.41246e9 | + | 8.78062e8i | −0.119482 | + | 0.0434880i | ||||
\(196\) | −5.08069e9 | + | 4.26320e9i | −0.245906 | + | 0.206340i | ||||
\(197\) | 9.85295e9 | + | 1.70658e10i | 0.466088 | + | 0.807289i | 0.999250 | − | 0.0387248i | \(-0.0123296\pi\) |
−0.533162 | + | 0.846013i | \(0.678996\pi\) | |||||||
\(198\) | −7.74883e8 | + | 1.34214e9i | −0.0358297 | + | 0.0620588i | ||||
\(199\) | −4.91350e9 | − | 2.78659e10i | −0.222102 | − | 1.25960i | −0.868148 | − | 0.496305i | \(-0.834690\pi\) |
0.646046 | − | 0.763298i | \(-0.276421\pi\) | |||||||
\(200\) | 1.37259e9 | + | 7.78434e9i | 0.0606604 | + | 0.344022i | ||||
\(201\) | 9.32782e9 | − | 1.61563e10i | 0.403086 | − | 0.698166i | ||||
\(202\) | −1.15452e10 | − | 1.99968e10i | −0.487887 | − | 0.845045i | ||||
\(203\) | −6.50236e9 | + | 5.45613e9i | −0.268744 | + | 0.225503i | ||||
\(204\) | −2.15390e10 | + | 7.83956e9i | −0.870743 | + | 0.316925i | ||||
\(205\) | −3.03092e9 | − | 1.10316e9i | −0.119862 | − | 0.0436262i | ||||
\(206\) | −1.84401e10 | − | 1.54731e10i | −0.713446 | − | 0.598652i | ||||
\(207\) | 3.91755e8 | − | 2.22175e9i | 0.0148302 | − | 0.0841065i | ||||
\(208\) | −7.61149e9 | −0.281958 | ||||||||
\(209\) | 2.29866e10 | − | 3.72677e10i | 0.833329 | − | 1.35106i | ||||
\(210\) | 1.34424e9 | 0.0476968 | ||||||||
\(211\) | 1.02361e9 | − | 5.80520e9i | 0.0355521 | − | 0.201626i | −0.961858 | − | 0.273549i | \(-0.911802\pi\) |
0.997410 | + | 0.0719231i | \(0.0229136\pi\) | |||||||
\(212\) | −1.94887e9 | − | 1.63529e9i | −0.0662630 | − | 0.0556013i | ||||
\(213\) | −9.09345e8 | − | 3.30975e8i | −0.0302706 | − | 0.0110176i | ||||
\(214\) | 1.77305e10 | − | 6.45339e9i | 0.577910 | − | 0.210342i | ||||
\(215\) | 1.86893e9 | − | 1.56822e9i | 0.0596514 | − | 0.0500534i | ||||
\(216\) | 5.46078e9 | + | 9.45835e9i | 0.170692 | + | 0.295647i | ||||
\(217\) | 1.10123e10 | − | 1.90739e10i | 0.337140 | − | 0.583944i | ||||
\(218\) | −3.74080e9 | − | 2.12151e10i | −0.112179 | − | 0.636197i | ||||
\(219\) | 2.95130e9 | + | 1.67377e10i | 0.0866992 | + | 0.491695i | ||||
\(220\) | 1.50716e9 | − | 2.61048e9i | 0.0433768 | − | 0.0751309i | ||||
\(221\) | −3.59316e10 | − | 6.22353e10i | −1.01324 | − | 1.75498i | ||||
\(222\) | 1.44574e10 | − | 1.21312e10i | 0.399487 | − | 0.335209i | ||||
\(223\) | −4.47969e9 | + | 1.63047e9i | −0.121304 | + | 0.0441511i | −0.401959 | − | 0.915658i | \(-0.631671\pi\) |
0.280655 | + | 0.959809i | \(0.409448\pi\) | |||||||
\(224\) | 3.74506e9 | + | 1.36309e9i | 0.0993900 | + | 0.0361750i | ||||
\(225\) | −1.85763e9 | − | 1.55874e9i | −0.0483213 | − | 0.0405464i | ||||
\(226\) | −4.65955e8 | + | 2.64256e9i | −0.0118811 | + | 0.0673810i | ||||
\(227\) | 5.38600e10 | 1.34633 | 0.673163 | − | 0.739494i | \(-0.264935\pi\) | ||||
0.673163 | + | 0.739494i | \(0.264935\pi\) | |||||||
\(228\) | 9.98736e9 | + | 1.85223e10i | 0.244762 | + | 0.453930i | ||||
\(229\) | −6.83181e10 | −1.64163 | −0.820817 | − | 0.571192i | \(-0.806481\pi\) | ||||
−0.820817 | + | 0.571192i | \(0.806481\pi\) | |||||||
\(230\) | −7.61971e8 | + | 4.32135e9i | −0.0179541 | + | 0.101823i | ||||
\(231\) | 3.24759e10 | + | 2.72505e10i | 0.750425 | + | 0.629681i | ||||
\(232\) | −8.59587e9 | − | 3.12864e9i | −0.194802 | − | 0.0709022i | ||||
\(233\) | −3.99139e10 | + | 1.45275e10i | −0.887201 | + | 0.322915i | −0.745112 | − | 0.666939i | \(-0.767604\pi\) |
−0.142089 | + | 0.989854i | \(0.545382\pi\) | |||||||
\(234\) | 1.78879e9 | − | 1.50097e9i | 0.0390022 | − | 0.0327267i | ||||
\(235\) | −4.45227e9 | − | 7.71156e9i | −0.0952305 | − | 0.164944i | ||||
\(236\) | −1.68711e10 | + | 2.92216e10i | −0.354030 | + | 0.613198i | ||||
\(237\) | −4.36407e9 | − | 2.47498e10i | −0.0898512 | − | 0.509571i | ||||
\(238\) | 6.53400e9 | + | 3.70561e10i | 0.132003 | + | 0.748624i | ||||
\(239\) | −3.28190e10 | + | 5.68442e10i | −0.650632 | + | 1.12693i | 0.332338 | + | 0.943160i | \(0.392162\pi\) |
−0.982970 | + | 0.183767i | \(0.941171\pi\) | |||||||
\(240\) | 7.24325e8 | + | 1.25457e9i | 0.0140923 | + | 0.0244086i | ||||
\(241\) | 6.58118e9 | − | 5.52227e9i | 0.125669 | − | 0.105449i | −0.577787 | − | 0.816187i | \(-0.696084\pi\) |
0.703456 | + | 0.710739i | \(0.251639\pi\) | |||||||
\(242\) | 5.38799e10 | − | 1.96107e10i | 1.00985 | − | 0.367556i | ||||
\(243\) | −6.51176e9 | − | 2.37009e9i | −0.119804 | − | 0.0436049i | ||||
\(244\) | −3.68303e8 | − | 3.09043e8i | −0.00665198 | − | 0.00558168i | ||||
\(245\) | −6.87224e8 | + | 3.89744e9i | −0.0121857 | + | 0.0691086i | ||||
\(246\) | 4.88869e10 | 0.851108 | ||||||||
\(247\) | −5.17517e10 | + | 4.09207e10i | −0.884684 | + | 0.699530i | ||||
\(248\) | 2.37354e10 | 0.398441 | ||||||||
\(249\) | 1.11542e10 | − | 6.32588e10i | 0.183884 | − | 1.04286i | ||||
\(250\) | 7.26995e9 | + | 6.10021e9i | 0.117707 | + | 0.0987677i | ||||
\(251\) | 9.22809e10 | + | 3.35875e10i | 1.46751 | + | 0.534129i | 0.947422 | − | 0.319986i | \(-0.103678\pi\) |
0.520084 | + | 0.854115i | \(0.325900\pi\) | |||||||
\(252\) | −1.14893e9 | + | 4.18177e8i | −0.0179470 | + | 0.00653218i | ||||
\(253\) | −1.06012e11 | + | 8.89542e10i | −1.62671 | + | 1.36497i | ||||
\(254\) | 3.25539e10 | + | 5.63850e10i | 0.490740 | + | 0.849987i | ||||
\(255\) | −6.83864e9 | + | 1.18449e10i | −0.101284 | + | 0.175428i | ||||
\(256\) | 7.45813e8 | + | 4.22972e9i | 0.0108530 | + | 0.0615505i | ||||
\(257\) | 2.06346e9 | + | 1.17025e10i | 0.0295051 | + | 0.167332i | 0.996000 | − | 0.0893544i | \(-0.0284804\pi\) |
−0.966495 | + | 0.256686i | \(0.917369\pi\) | |||||||
\(258\) | −1.84890e10 | + | 3.20239e10i | −0.259792 | + | 0.449973i | ||||
\(259\) | −1.54909e10 | − | 2.68310e10i | −0.213908 | − | 0.370499i | ||||
\(260\) | −3.47923e9 | + | 2.91942e9i | −0.0472175 | + | 0.0396202i | ||||
\(261\) | 2.63710e9 | − | 9.59824e8i | 0.0351758 | − | 0.0128029i | ||||
\(262\) | −1.04817e10 | − | 3.81502e9i | −0.137428 | − | 0.0500197i | ||||
\(263\) | −4.95225e10 | − | 4.15543e10i | −0.638266 | − | 0.535569i | 0.265219 | − | 0.964188i | \(-0.414556\pi\) |
−0.903485 | + | 0.428619i | \(0.859000\pi\) | |||||||
\(264\) | −7.93350e9 | + | 4.49931e10i | −0.100519 | + | 0.570070i | ||||
\(265\) | −1.51806e9 | −0.0189096 | ||||||||
\(266\) | 3.27914e10 | − | 1.08662e10i | 0.401599 | − | 0.133079i | ||||
\(267\) | 1.61088e11 | 1.93983 | ||||||||
\(268\) | 5.73108e9 | − | 3.25026e10i | 0.0678625 | − | 0.384867i | ||||
\(269\) | −3.15803e10 | − | 2.64990e10i | −0.367732 | − | 0.308564i | 0.440132 | − | 0.897933i | \(-0.354932\pi\) |
−0.807864 | + | 0.589370i | \(0.799376\pi\) | |||||||
\(270\) | 6.12393e9 | + | 2.22893e9i | 0.0701283 | + | 0.0255246i | ||||
\(271\) | −1.40038e11 | + | 5.09698e10i | −1.57719 | + | 0.574052i | −0.974592 | − | 0.223989i | \(-0.928092\pi\) |
−0.602603 | + | 0.798041i | \(0.705870\pi\) | |||||||
\(272\) | −3.10635e10 | + | 2.60653e10i | −0.344104 | + | 0.288738i | ||||
\(273\) | −3.19387e10 | − | 5.53194e10i | −0.348005 | − | 0.602762i | ||||
\(274\) | −1.23265e10 | + | 2.13501e10i | −0.132118 | + | 0.228835i | ||||
\(275\) | 2.58304e10 | + | 1.46491e11i | 0.272354 | + | 1.54460i | ||||
\(276\) | −1.15490e10 | − | 6.54974e10i | −0.119799 | − | 0.679412i | ||||
\(277\) | 3.25327e10 | − | 5.63483e10i | 0.332018 | − | 0.575072i | −0.650890 | − | 0.759172i | \(-0.725604\pi\) |
0.982907 | + | 0.184101i | \(0.0589373\pi\) | |||||||
\(278\) | −3.62865e10 | − | 6.28500e10i | −0.364370 | − | 0.631108i | ||||
\(279\) | −5.57810e9 | + | 4.68058e9i | −0.0551147 | + | 0.0462467i | ||||
\(280\) | 2.23469e9 | − | 8.13362e8i | 0.0217274 | − | 0.00790811i | ||||
\(281\) | −2.42685e10 | − | 8.83302e9i | −0.232201 | − | 0.0845144i | 0.223299 | − | 0.974750i | \(-0.428317\pi\) |
−0.455500 | + | 0.890236i | \(0.650540\pi\) | |||||||
\(282\) | 1.03388e11 | + | 8.67528e10i | 0.973530 | + | 0.816888i | ||||
\(283\) | 8.92577e9 | − | 5.06205e10i | 0.0827193 | − | 0.469124i | −0.915106 | − | 0.403213i | \(-0.867893\pi\) |
0.997825 | − | 0.0659114i | \(-0.0209955\pi\) | |||||||
\(284\) | −1.71198e9 | −0.0156159 | ||||||||
\(285\) | 1.16696e10 | + | 4.63590e9i | 0.104774 | + | 0.0416229i | ||||
\(286\) | −1.43239e11 | −1.26594 | ||||||||
\(287\) | 1.39358e10 | − | 7.90338e10i | 0.121245 | − | 0.687613i | ||||
\(288\) | −1.00937e9 | − | 8.46961e8i | −0.00864537 | − | 0.00725433i | ||||
\(289\) | −2.48328e11 | − | 9.03839e10i | −2.09404 | − | 0.762169i | ||||
\(290\) | −5.12920e9 | + | 1.86688e9i | −0.0425852 | + | 0.0154997i | ||||
\(291\) | −9.76052e10 | + | 8.19005e10i | −0.797911 | + | 0.669527i | ||||
\(292\) | 1.50338e10 | + | 2.60393e10i | 0.121017 | + | 0.209607i | ||||
\(293\) | 6.56991e10 | − | 1.13794e11i | 0.520781 | − | 0.902019i | −0.478927 | − | 0.877855i | \(-0.658974\pi\) |
0.999708 | − | 0.0241646i | \(-0.00769259\pi\) | |||||||
\(294\) | −1.04160e10 | − | 5.90723e10i | −0.0813092 | − | 0.461127i | ||||
\(295\) | 3.49626e9 | + | 1.98283e10i | 0.0268785 | + | 0.152435i | ||||
\(296\) | 1.66941e10 | − | 2.89150e10i | 0.126401 | − | 0.218933i | ||||
\(297\) | 1.02765e11 | + | 1.77994e11i | 0.766374 | + | 1.32740i | ||||
\(298\) | −9.82705e10 | + | 8.24588e10i | −0.721855 | + | 0.605709i | ||||
\(299\) | 1.95941e11 | − | 7.13166e10i | 1.41776 | − | 0.516024i | ||||
\(300\) | −6.71769e10 | − | 2.44504e10i | −0.478822 | − | 0.174277i | ||||
\(301\) | 4.65015e10 | + | 3.90194e10i | 0.326526 | + | 0.273988i | ||||
\(302\) | 1.79169e10 | − | 1.01612e11i | 0.123946 | − | 0.702933i | ||||
\(303\) | 2.08831e11 | 1.42332 | ||||||||
\(304\) | 2.78106e10 | + | 2.47488e10i | 0.186758 | + | 0.166197i | ||||
\(305\) | −2.86887e8 | −0.00189829 | ||||||||
\(306\) | 2.16024e9 | − | 1.22513e10i | 0.0140850 | − | 0.0798798i | ||||
\(307\) | 8.67201e10 | + | 7.27668e10i | 0.557182 | + | 0.467531i | 0.877364 | − | 0.479825i | \(-0.159300\pi\) |
−0.320183 | + | 0.947356i | \(0.603744\pi\) | |||||||
\(308\) | 7.04772e10 | + | 2.56516e10i | 0.446242 | + | 0.162419i | ||||
\(309\) | 2.04578e11 | − | 7.44604e10i | 1.27658 | − | 0.464636i | ||||
\(310\) | 1.08495e10 | − | 9.10382e9i | 0.0667240 | − | 0.0559881i | ||||
\(311\) | −9.42199e10 | − | 1.63194e11i | −0.571111 | − | 0.989194i | −0.996452 | − | 0.0841608i | \(-0.973179\pi\) |
0.425341 | − | 0.905033i | \(-0.360154\pi\) | |||||||
\(312\) | 3.44195e10 | − | 5.96163e10i | 0.205640 | − | 0.356180i | ||||
\(313\) | −1.67444e10 | − | 9.49621e10i | −0.0986097 | − | 0.559243i | −0.993581 | − | 0.113120i | \(-0.963916\pi\) |
0.894972 | − | 0.446123i | \(-0.147196\pi\) | |||||||
\(314\) | −2.04660e10 | − | 1.16068e11i | −0.118809 | − | 0.673799i | ||||
\(315\) | −3.64786e8 | + | 6.31828e8i | −0.00208757 | + | 0.00361578i | ||||
\(316\) | −2.22304e10 | − | 3.85041e10i | −0.125417 | − | 0.217228i | ||||
\(317\) | −7.69595e10 | + | 6.45767e10i | −0.428051 | + | 0.359177i | −0.831216 | − | 0.555950i | \(-0.812355\pi\) |
0.403165 | + | 0.915127i | \(0.367910\pi\) | |||||||
\(318\) | 2.16211e10 | − | 7.86945e9i | 0.118565 | − | 0.0431541i | ||||
\(319\) | −1.61763e11 | − | 5.88771e10i | −0.874626 | − | 0.318338i | ||||
\(320\) | 1.96324e9 | + | 1.64735e9i | 0.0104664 | + | 0.00878238i | ||||
\(321\) | −2.96327e10 | + | 1.68055e11i | −0.155775 | + | 0.883444i | ||||
\(322\) | −1.09180e11 | −0.565966 | ||||||||
\(323\) | −7.10734e10 | + | 3.44224e11i | −0.363325 | + | 1.75967i | ||||
\(324\) | −1.05107e11 | −0.529883 | ||||||||
\(325\) | 3.89198e10 | − | 2.20725e11i | 0.193506 | − | 1.09743i | ||||
\(326\) | 2.03103e10 | + | 1.70424e10i | 0.0995949 | + | 0.0835701i | ||||
\(327\) | 1.83081e11 | + | 6.66362e10i | 0.885481 | + | 0.322289i | ||||
\(328\) | 8.12708e10 | − | 2.95801e10i | 0.387706 | − | 0.141113i | ||||
\(329\) | 1.69722e11 | − | 1.42414e11i | 0.798652 | − | 0.670148i | ||||
\(330\) | 1.36309e10 | + | 2.36094e10i | 0.0632720 | + | 0.109590i | ||||
\(331\) | 1.20412e11 | − | 2.08560e11i | 0.551371 | − | 0.955003i | −0.446805 | − | 0.894632i | \(-0.647438\pi\) |
0.998176 | − | 0.0603717i | \(-0.0192286\pi\) | |||||||
\(332\) | −1.97331e10 | − | 1.11912e11i | −0.0891403 | − | 0.505540i | ||||
\(333\) | 1.77868e9 | + | 1.00874e10i | 0.00792684 | + | 0.0449553i | ||||
\(334\) | 1.98224e10 | − | 3.43335e10i | 0.0871561 | − | 0.150959i | ||||
\(335\) | −9.84681e9 | − | 1.70552e10i | −0.0427163 | − | 0.0739869i | ||||
\(336\) | −2.76116e10 | + | 2.31688e10i | −0.118185 | + | 0.0991694i | ||||
\(337\) | 3.23993e10 | − | 1.17924e10i | 0.136836 | − | 0.0498042i | −0.272694 | − | 0.962101i | \(-0.587915\pi\) |
0.409530 | + | 0.912296i | \(0.365693\pi\) | |||||||
\(338\) | 4.33688e10 | + | 1.57850e10i | 0.180739 | + | 0.0657837i | ||||
\(339\) | −1.85905e10 | − | 1.55993e10i | −0.0764528 | − | 0.0641515i | ||||
\(340\) | −4.20171e9 | + | 2.38291e10i | −0.0170518 | + | 0.0967056i | ||||
\(341\) | 4.46670e11 | 1.78892 | ||||||||
\(342\) | −1.14163e10 | − | 3.32075e8i | −0.0451238 | − | 0.00131256i | ||||
\(343\) | −2.51845e11 | −0.982447 | ||||||||
\(344\) | −1.13598e10 | + | 6.44245e10i | −0.0437378 | + | 0.248050i | ||||
\(345\) | −3.04009e10 | − | 2.55094e10i | −0.115532 | − | 0.0969424i | ||||
\(346\) | 1.23414e11 | + | 4.49190e10i | 0.462937 | + | 0.168495i | ||||
\(347\) | −2.34467e11 | + | 8.53391e10i | −0.868159 | + | 0.315984i | −0.737421 | − | 0.675433i | \(-0.763957\pi\) |
−0.130738 | + | 0.991417i | \(0.541735\pi\) | |||||||
\(348\) | 6.33756e10 | − | 5.31785e10i | 0.231641 | − | 0.194370i | ||||
\(349\) | 6.18443e10 | + | 1.07117e11i | 0.223144 | + | 0.386497i | 0.955761 | − | 0.294145i | \(-0.0950347\pi\) |
−0.732617 | + | 0.680641i | \(0.761701\pi\) | |||||||
\(350\) | −5.86777e10 | + | 1.01633e11i | −0.209010 | + | 0.362016i | ||||
\(351\) | −5.37756e10 | − | 3.04976e11i | −0.189105 | − | 1.07247i | ||||
\(352\) | 1.40353e10 | + | 7.95979e10i | 0.0487280 | + | 0.276350i | ||||
\(353\) | −2.35976e11 | + | 4.08723e11i | −0.808877 | + | 1.40102i | 0.104765 | + | 0.994497i | \(0.466591\pi\) |
−0.913642 | + | 0.406519i | \(0.866742\pi\) | |||||||
\(354\) | −1.52584e11 | − | 2.64283e11i | −0.516409 | − | 0.894446i | ||||
\(355\) | −7.82551e8 | + | 6.56638e8i | −0.00261508 | + | 0.00219431i | ||||
\(356\) | 2.67797e11 | − | 9.74702e10i | 0.883652 | − | 0.321623i | ||||
\(357\) | −3.19785e11 | − | 1.16392e11i | −1.04196 | − | 0.379243i | ||||
\(358\) | −2.48347e11 | − | 2.08387e11i | −0.799069 | − | 0.670499i | ||||
\(359\) | −4.76351e10 | + | 2.70152e11i | −0.151357 | + | 0.858387i | 0.810685 | + | 0.585483i | \(0.199095\pi\) |
−0.962041 | + | 0.272904i | \(0.912016\pi\) | |||||||
\(360\) | −7.86240e8 | −0.00246714 | ||||||||
\(361\) | 3.22142e11 | + | 1.87568e10i | 0.998309 | + | 0.0581267i | ||||
\(362\) | −2.09633e9 | −0.00641609 | ||||||||
\(363\) | −9.00483e10 | + | 5.10689e11i | −0.272205 | + | 1.54375i | ||||
\(364\) | −8.65679e10 | − | 7.26391e10i | −0.258464 | − | 0.216877i | ||||
\(365\) | 1.68595e10 | + | 6.13635e9i | 0.0497195 | + | 0.0180964i | ||||
\(366\) | 4.08603e9 | − | 1.48719e9i | 0.0119025 | − | 0.00433214i | ||||
\(367\) | −1.04354e11 | + | 8.75637e10i | −0.300271 | + | 0.251957i | −0.780457 | − | 0.625209i | \(-0.785014\pi\) |
0.480186 | + | 0.877167i | \(0.340569\pi\) | |||||||
\(368\) | −5.88300e10 | − | 1.01897e11i | −0.167218 | − | 0.289630i | ||||
\(369\) | −1.32664e10 | + | 2.29782e10i | −0.0372508 | + | 0.0645203i | ||||
\(370\) | −3.45957e9 | − | 1.96202e10i | −0.00959654 | − | 0.0544247i | ||||
\(371\) | −6.55891e9 | − | 3.71974e10i | −0.0179742 | − | 0.101937i | ||||
\(372\) | −1.07332e11 | + | 1.85905e11i | −0.290595 | + | 0.503324i | ||||
\(373\) | −6.63167e8 | − | 1.14864e9i | −0.00177392 | − | 0.00307251i | 0.865137 | − | 0.501535i | \(-0.167231\pi\) |
−0.866911 | + | 0.498463i | \(0.833898\pi\) | |||||||
\(374\) | −5.84575e11 | + | 4.90517e11i | −1.54496 | + | 1.29638i | ||||
\(375\) | −8.06543e10 | + | 2.93558e10i | −0.210614 | + | 0.0766571i | ||||
\(376\) | 2.24366e11 | + | 8.16627e10i | 0.578912 | + | 0.210707i | ||||
\(377\) | 1.98696e11 | + | 1.66725e11i | 0.506585 | + | 0.425075i | ||||
\(378\) | −2.81571e10 | + | 1.59687e11i | −0.0709373 | + | 0.402305i | ||||
\(379\) | 2.54618e11 | 0.633887 | 0.316944 | − | 0.948444i | \(-0.397343\pi\) | ||||
0.316944 | + | 0.948444i | \(0.397343\pi\) | |||||||
\(380\) | 2.22048e10 | + | 6.45892e8i | 0.0546287 | + | 0.00158904i | ||||
\(381\) | −5.88840e11 | −1.43164 | ||||||||
\(382\) | −7.49747e10 | + | 4.25203e11i | −0.180148 | + | 1.02167i | ||||
\(383\) | −1.56894e11 | − | 1.31649e11i | −0.372572 | − | 0.312625i | 0.437206 | − | 0.899361i | \(-0.355968\pi\) |
−0.809778 | + | 0.586736i | \(0.800413\pi\) | |||||||
\(384\) | −3.65014e10 | − | 1.32854e10i | −0.0856681 | − | 0.0311807i | ||||
\(385\) | 4.20541e10 | − | 1.53064e10i | 0.0975518 | − | 0.0355059i | ||||
\(386\) | 3.19061e11 | − | 2.67724e11i | 0.731529 | − | 0.613826i | ||||
\(387\) | −1.00347e10 | − | 1.73807e10i | −0.0227408 | − | 0.0393883i | ||||
\(388\) | −1.12705e11 | + | 1.95211e11i | −0.252465 | + | 0.437283i | ||||
\(389\) | 1.21371e11 | + | 6.88329e11i | 0.268746 | + | 1.52413i | 0.758152 | + | 0.652077i | \(0.226102\pi\) |
−0.489407 | + | 0.872056i | \(0.662787\pi\) | |||||||
\(390\) | −7.13286e9 | − | 4.04525e10i | −0.0156125 | − | 0.0885430i | ||||
\(391\) | 5.55437e11 | − | 9.62045e11i | 1.20182 | − | 2.08161i | ||||
\(392\) | −5.30589e10 | − | 9.19007e10i | −0.113494 | − | 0.196577i | ||||
\(393\) | 7.72793e10 | − | 6.48450e10i | 0.163417 | − | 0.137123i | ||||
\(394\) | −2.96280e11 | + | 1.07837e11i | −0.619397 | + | 0.225442i | ||||
\(395\) | −2.49300e10 | − | 9.07378e9i | −0.0515271 | − | 0.0187543i | ||||
\(396\) | −1.89950e10 | − | 1.59387e10i | −0.0388161 | − | 0.0325706i | ||||
\(397\) | −1.59307e11 | + | 9.03476e11i | −0.321868 | + | 1.82541i | 0.208958 | + | 0.977925i | \(0.432993\pi\) |
−0.530826 | + | 0.847481i | \(0.678118\pi\) | |||||||
\(398\) | 4.52732e11 | 0.904414 | ||||||||
\(399\) | −6.31754e10 | + | 3.05973e11i | −0.124787 | + | 0.604373i | ||||
\(400\) | −1.26471e11 | −0.247013 | ||||||||
\(401\) | 6.46124e10 | − | 3.66435e11i | 0.124786 | − | 0.707697i | −0.856649 | − | 0.515900i | \(-0.827458\pi\) |
0.981435 | − | 0.191797i | \(-0.0614314\pi\) | |||||||
\(402\) | 2.28657e11 | + | 1.91866e11i | 0.436684 | + | 0.366421i | ||||
\(403\) | −6.32430e11 | − | 2.30186e11i | −1.19437 | − | 0.434716i | ||||
\(404\) | 3.47165e11 | − | 1.26358e11i | 0.648366 | − | 0.235986i | ||||
\(405\) | −4.80448e10 | + | 4.03143e10i | −0.0887357 | + | 0.0744581i | ||||
\(406\) | −6.79058e10 | − | 1.17616e11i | −0.124034 | − | 0.214833i | ||||
\(407\) | 3.14162e11 | − | 5.44144e11i | 0.567516 | − | 0.982967i | ||||
\(408\) | −6.36840e10 | − | 3.61170e11i | −0.113778 | − | 0.645269i | ||||
\(409\) | −1.33811e11 | − | 7.58878e11i | −0.236448 | − | 1.34096i | −0.839542 | − | 0.543294i | \(-0.817177\pi\) |
0.603094 | − | 0.797670i | \(-0.293934\pi\) | |||||||
\(410\) | 2.58035e10 | − | 4.46929e10i | 0.0450973 | − | 0.0781108i | ||||
\(411\) | −1.11482e11 | − | 1.93092e11i | −0.192715 | − | 0.333792i | ||||
\(412\) | 2.95042e11 | − | 2.47570e11i | 0.504483 | − | 0.423311i | ||||
\(413\) | −4.70752e11 | + | 1.71340e11i | −0.796191 | + | 0.289790i | ||||
\(414\) | 3.39196e10 | + | 1.23457e10i | 0.0567478 | + | 0.0206545i | ||||
\(415\) | −5.19444e10 | − | 4.35866e10i | −0.0859652 | − | 0.0721333i | ||||
\(416\) | 2.11476e10 | − | 1.19934e11i | 0.0346210 | − | 0.196346i | ||||
\(417\) | 6.56355e11 | 1.06298 | ||||||||
\(418\) | 5.23360e11 | + | 4.65742e11i | 0.838507 | + | 0.746195i | ||||
\(419\) | 5.19703e11 | 0.823744 | 0.411872 | − | 0.911242i | \(-0.364875\pi\) | ||||
0.411872 | + | 0.911242i | \(0.364875\pi\) | |||||||
\(420\) | −3.73479e9 | + | 2.11811e10i | −0.00585659 | + | 0.0332144i | ||||
\(421\) | 4.07598e11 | + | 3.42016e11i | 0.632358 | + | 0.530611i | 0.901661 | − | 0.432444i | \(-0.142349\pi\) |
−0.269303 | + | 0.963056i | \(0.586793\pi\) | |||||||
\(422\) | 8.86281e10 | + | 3.22580e10i | 0.136040 | + | 0.0495144i | ||||
\(423\) | −6.88326e10 | + | 2.50530e10i | −0.104535 | + | 0.0380477i | ||||
\(424\) | 3.11819e10 | − | 2.61647e10i | 0.0468550 | − | 0.0393160i | ||||
\(425\) | −5.97030e11 | − | 1.03409e12i | −0.887659 | − | 1.53747i | ||||
\(426\) | 7.74164e9 | − | 1.34089e10i | 0.0113891 | − | 0.0197265i | ||||
\(427\) | −1.23952e9 | − | 7.02968e9i | −0.00180438 | − | 0.0102332i | ||||
\(428\) | 5.24235e10 | + | 2.97309e11i | 0.0755143 | + | 0.428263i | ||||
\(429\) | 6.47731e11 | − | 1.12190e12i | 0.923287 | − | 1.59918i | ||||
\(430\) | 1.95177e10 | + | 3.38057e10i | 0.0275310 | + | 0.0476850i | ||||
\(431\) | −8.56451e11 | + | 7.18648e11i | −1.19552 | + | 1.00316i | −0.195768 | + | 0.980650i | \(0.562720\pi\) |
−0.999747 | + | 0.0225060i | \(0.992836\pi\) | |||||||
\(432\) | −1.64207e11 | + | 5.97663e10i | −0.226837 | + | 0.0825619i | ||||
\(433\) | −1.24915e11 | − | 4.54654e10i | −0.170773 | − | 0.0621563i | 0.255219 | − | 0.966883i | \(-0.417853\pi\) |
−0.425992 | + | 0.904727i | \(0.640075\pi\) | |||||||
\(434\) | 2.69950e11 | + | 2.26515e11i | 0.365241 | + | 0.306474i | ||||
\(435\) | 8.57231e9 | − | 4.86160e10i | 0.0114788 | − | 0.0650995i | ||||
\(436\) | 3.44679e11 | 0.456799 | ||||||||
\(437\) | −9.47806e11 | − | 3.76529e11i | −1.24323 | − | 0.493893i | ||||
\(438\) | −2.71934e11 | −0.353045 | ||||||||
\(439\) | −6.33839e10 | + | 3.59468e11i | −0.0814495 | + | 0.461923i | 0.916617 | + | 0.399767i | \(0.130909\pi\) |
−0.998066 | + | 0.0621564i | \(0.980202\pi\) | |||||||
\(440\) | 3.69457e10 | + | 3.10011e10i | 0.0469923 | + | 0.0394312i | ||||
\(441\) | 3.05922e10 | + | 1.11346e10i | 0.0385156 | + | 0.0140185i | ||||
\(442\) | 1.08047e12 | − | 3.93258e11i | 1.34652 | − | 0.490092i | ||||
\(443\) | −1.25632e11 | + | 1.05418e11i | −0.154982 | + | 0.130046i | −0.716982 | − | 0.697092i | \(-0.754477\pi\) |
0.561999 | + | 0.827138i | \(0.310032\pi\) | |||||||
\(444\) | 1.50983e11 | + | 2.61510e11i | 0.184376 | + | 0.319348i | ||||
\(445\) | 8.50256e10 | − | 1.47269e11i | 0.102785 | − | 0.178029i | ||||
\(446\) | −1.32450e10 | − | 7.51161e10i | −0.0158506 | − | 0.0898931i | ||||
\(447\) | −2.01467e11 | − | 1.14258e12i | −0.238682 | − | 1.35363i | ||||
\(448\) | −3.18833e10 | + | 5.52234e10i | −0.0373948 | + | 0.0647698i | ||||
\(449\) | 6.75352e11 | + | 1.16974e12i | 0.784191 | + | 1.35826i | 0.929481 | + | 0.368869i | \(0.120255\pi\) |
−0.145290 | + | 0.989389i | \(0.546412\pi\) | |||||||
\(450\) | 2.97221e10 | − | 2.49398e10i | 0.0341683 | − | 0.0286706i | ||||
\(451\) | 1.52941e12 | − | 5.56661e11i | 1.74073 | − | 0.633572i | ||||
\(452\) | −4.03441e10 | − | 1.46840e10i | −0.0454628 | − | 0.0165471i | ||||
\(453\) | 7.14844e11 | + | 5.99826e11i | 0.797572 | + | 0.669242i | ||||
\(454\) | −1.49643e11 | + | 8.48669e11i | −0.165312 | + | 0.937534i | ||||
\(455\) | −6.74314e10 | −0.0737583 | ||||||||
\(456\) | −3.19603e11 | + | 1.05908e11i | −0.346154 | + | 0.114706i | ||||
\(457\) | −6.79784e11 | −0.729035 | −0.364517 | − | 0.931197i | \(-0.618766\pi\) | ||||
−0.364517 | + | 0.931197i | \(0.618766\pi\) | |||||||
\(458\) | 1.89813e11 | − | 1.07648e12i | 0.201573 | − | 1.14317i | ||||
\(459\) | −1.26385e12 | − | 1.06049e12i | −1.32904 | − | 1.11520i | ||||
\(460\) | −6.59742e10 | − | 2.40126e10i | −0.0687011 | − | 0.0250052i | ||||
\(461\) | −1.17574e12 | + | 4.27935e11i | −1.21243 | + | 0.441289i | −0.867547 | − | 0.497356i | \(-0.834304\pi\) |
−0.344885 | + | 0.938645i | \(0.612082\pi\) | |||||||
\(462\) | −5.19614e11 | + | 4.36008e11i | −0.530631 | + | 0.445252i | ||||
\(463\) | −2.15210e11 | − | 3.72755e11i | −0.217645 | − | 0.376972i | 0.736443 | − | 0.676500i | \(-0.236504\pi\) |
−0.954087 | + | 0.299528i | \(0.903171\pi\) | |||||||
\(464\) | 7.31803e10 | − | 1.26752e11i | 0.0732931 | − | 0.126947i | ||||
\(465\) | 2.22428e10 | + | 1.26145e11i | 0.0220624 | + | 0.125122i | ||||
\(466\) | −1.18013e11 | − | 6.69283e11i | −0.115929 | − | 0.657465i | ||||
\(467\) | 1.93337e11 | − | 3.34869e11i | 0.188100 | − | 0.325799i | −0.756517 | − | 0.653974i | \(-0.773100\pi\) |
0.944617 | + | 0.328176i | \(0.106434\pi\) | |||||||
\(468\) | 1.86808e10 | + | 3.23561e10i | 0.0180007 | + | 0.0311781i | ||||
\(469\) | 3.75364e11 | − | 3.14968e11i | 0.358241 | − | 0.300600i | ||||
\(470\) | 1.33881e11 | − | 4.87285e10i | 0.126554 | − | 0.0460620i | ||||
\(471\) | 1.00164e12 | + | 3.64568e11i | 0.937818 | + | 0.341338i | ||||
\(472\) | −4.13569e11 | − | 3.47025e11i | −0.383538 | − | 0.321827i | ||||
\(473\) | −2.13777e11 | + | 1.21239e12i | −0.196375 | + | 1.11370i | ||||
\(474\) | 4.02106e11 | 0.365880 | ||||||||
\(475\) | −8.59893e11 | + | 6.79928e11i | −0.775038 | + | 0.612832i | ||||
\(476\) | −6.02045e11 | −0.537524 | ||||||||
\(477\) | −2.16848e9 | + | 1.22980e10i | −0.00191788 | + | 0.0108769i | ||||
\(478\) | −8.04507e11 | − | 6.75061e11i | −0.704862 | − | 0.591449i | ||||
\(479\) | 7.28336e11 | + | 2.65092e11i | 0.632152 | + | 0.230085i | 0.638168 | − | 0.769897i | \(-0.279693\pi\) |
−0.00601553 | + | 0.999982i | \(0.501915\pi\) | |||||||
\(480\) | −2.17806e10 | + | 7.92748e9i | −0.0187277 | + | 0.00681632i | ||||
\(481\) | −7.25232e11 | + | 6.08542e11i | −0.617766 | + | 0.518367i | ||||
\(482\) | 6.87290e10 | + | 1.19042e11i | 0.0580001 | + | 0.100459i | ||||
\(483\) | 4.93714e11 | − | 8.55138e11i | 0.412775 | − | 0.714948i | ||||
\(484\) | 1.59306e11 | + | 9.03468e11i | 0.131955 | + | 0.748357i | ||||
\(485\) | 2.33563e10 | + | 1.32460e11i | 0.0191676 | + | 0.108705i | ||||
\(486\) | 5.54373e10 | − | 9.60203e10i | 0.0450753 | − | 0.0780728i | ||||
\(487\) | −6.32573e11 | − | 1.09565e12i | −0.509601 | − | 0.882654i | −0.999938 | − | 0.0111217i | \(-0.996460\pi\) |
0.490337 | − | 0.871533i | \(-0.336874\pi\) | |||||||
\(488\) | 5.89285e9 | − | 4.94469e9i | 0.00470366 | − | 0.00394684i | ||||
\(489\) | −2.25327e11 | + | 8.20122e10i | −0.178206 | + | 0.0648617i | ||||
\(490\) | −5.95023e10 | − | 2.16571e10i | −0.0466285 | − | 0.0169714i | ||||
\(491\) | −4.34946e11 | − | 3.64963e11i | −0.337729 | − | 0.283389i | 0.458111 | − | 0.888895i | \(-0.348526\pi\) |
−0.795841 | + | 0.605506i | \(0.792971\pi\) | |||||||
\(492\) | −1.35826e11 | + | 7.70307e11i | −0.104506 | + | 0.592681i | ||||
\(493\) | 1.38185e12 | 1.05354 | ||||||||
\(494\) | −5.00999e11 | − | 9.29140e11i | −0.378500 | − | 0.701956i | ||||
\(495\) | −1.47960e10 | −0.0110770 | ||||||||
\(496\) | −6.59457e10 | + | 3.73997e11i | −0.0489237 | + | 0.277460i | ||||
\(497\) | −1.94709e10 | − | 1.63380e10i | −0.0143147 | − | 0.0120115i | ||||
\(498\) | 9.65774e11 | + | 3.51513e11i | 0.703629 | + | 0.256100i | ||||
\(499\) | 9.42337e11 | − | 3.42983e11i | 0.680383 | − | 0.247639i | 0.0213713 | − | 0.999772i | \(-0.493197\pi\) |
0.659012 | + | 0.752132i | \(0.270975\pi\) | |||||||
\(500\) | −1.16319e11 | + | 9.76034e10i | −0.0832312 | + | 0.0698393i | ||||
\(501\) | 1.79276e11 | + | 3.10515e11i | 0.127131 | + | 0.220197i | ||||
\(502\) | −7.85626e11 | + | 1.36074e12i | −0.552140 | + | 0.956335i | ||||
\(503\) | 2.96252e11 | + | 1.68013e12i | 0.206350 | + | 1.17027i | 0.895300 | + | 0.445463i | \(0.146961\pi\) |
−0.688950 | + | 0.724809i | \(0.741928\pi\) | |||||||
\(504\) | −3.39703e9 | − | 1.92655e10i | −0.00234510 | − | 0.0132997i | ||||
\(505\) | 1.10225e11 | − | 1.90915e11i | 0.0754169 | − | 0.130626i | ||||
\(506\) | −1.10711e12 | − | 1.91756e12i | −0.750778 | − | 1.30039i | ||||
\(507\) | −3.19750e11 | + | 2.68302e11i | −0.214919 | + | 0.180338i | ||||
\(508\) | −9.78902e11 | + | 3.56291e11i | −0.652157 | + | 0.237366i | ||||
\(509\) | 2.15279e12 | + | 7.83553e11i | 1.42158 | + | 0.517414i | 0.934507 | − | 0.355945i | \(-0.115841\pi\) |
0.487076 | + | 0.873359i | \(0.338063\pi\) | |||||||
\(510\) | −1.67638e11 | − | 1.40665e11i | −0.109726 | − | 0.0920707i | ||||
\(511\) | −7.75179e10 | + | 4.39626e11i | −0.0502931 | + | 0.285226i | ||||
\(512\) | −6.87195e10 | −0.0441942 | ||||||||
\(513\) | −7.95151e11 | + | 1.28916e12i | −0.506899 | + | 0.821825i | ||||
\(514\) | −1.90128e11 | −0.120147 | ||||||||
\(515\) | 3.99080e10 | − | 2.26329e11i | 0.0249992 | − | 0.141778i | ||||
\(516\) | −4.53229e11 | − | 3.80305e11i | −0.281446 | − | 0.236161i | ||||
\(517\) | 4.22229e12 | + | 1.53679e12i | 2.59921 | + | 0.946034i | ||||
\(518\) | 4.65813e11 | − | 1.69542e11i | 0.284268 | − | 0.103465i | ||||
\(519\) | −9.09907e11 | + | 7.63503e11i | −0.550483 | + | 0.461910i | ||||
\(520\) | −3.63345e10 | − | 6.29332e10i | −0.0217924 | − | 0.0377455i | ||||
\(521\) | −6.06240e11 | + | 1.05004e12i | −0.360475 | + | 0.624361i | −0.988039 | − | 0.154204i | \(-0.950719\pi\) |
0.627564 | + | 0.778565i | \(0.284052\pi\) | |||||||
\(522\) | 7.79705e9 | + | 4.42193e10i | 0.00459635 | + | 0.0260672i | ||||
\(523\) | 2.90285e11 | + | 1.64629e12i | 0.169655 | + | 0.962162i | 0.944134 | + | 0.329562i | \(0.106901\pi\) |
−0.774479 | + | 0.632600i | \(0.781988\pi\) | |||||||
\(524\) | 8.92350e10 | − | 1.54559e11i | 0.0517064 | − | 0.0895581i | ||||
\(525\) | −5.30685e11 | − | 9.19174e11i | −0.304874 | − | 0.528057i | ||||
\(526\) | 7.92360e11 | − | 6.64869e11i | 0.451322 | − | 0.378704i | ||||
\(527\) | −3.36929e12 | + | 1.22632e12i | −1.90279 | + | 0.692558i | ||||
\(528\) | −6.86911e11 | − | 2.50015e11i | −0.384634 | − | 0.139995i | ||||
\(529\) | 1.08941e12 | + | 9.14123e11i | 0.604840 | + | 0.507521i | ||||
\(530\) | 4.21773e9 | − | 2.39199e10i | 0.00232186 | − | 0.0131679i | ||||
\(531\) | 1.65627e11 | 0.0904075 | ||||||||
\(532\) | 8.01115e10 | + | 5.46882e11i | 0.0433603 | + | 0.296000i | ||||
\(533\) | −2.45233e12 | −1.31615 | ||||||||
\(534\) | −4.47563e11 | + | 2.53826e12i | −0.238188 | + | 1.35083i | ||||
\(535\) | 1.37997e11 | + | 1.15793e11i | 0.0728245 | + | 0.0611070i | ||||
\(536\) | 4.96217e11 | + | 1.80608e11i | 0.259675 | + | 0.0945140i | ||||
\(537\) | 2.75521e12 | − | 1.00281e12i | 1.42978 | − | 0.520398i | ||||
\(538\) | 5.05285e11 | − | 4.23985e11i | 0.260026 | − | 0.218188i | ||||
\(539\) | −9.98501e11 | − | 1.72946e12i | −0.509565 | − | 0.882592i | ||||
\(540\) | −5.21356e10 | + | 9.03015e10i | −0.0263853 | + | 0.0457007i | ||||
\(541\) | 4.02894e11 | + | 2.28492e12i | 0.202210 | + | 1.14679i | 0.901770 | + | 0.432216i | \(0.142268\pi\) |
−0.699560 | + | 0.714574i | \(0.746621\pi\) | |||||||
\(542\) | −4.14049e11 | − | 2.34819e12i | −0.206089 | − | 1.16879i | ||||
\(543\) | 9.47967e9 | − | 1.64193e10i | 0.00467944 | − | 0.00810503i | ||||
\(544\) | −3.24404e11 | − | 5.61884e11i | −0.158815 | − | 0.275075i | ||||
\(545\) | 1.57553e11 | − | 1.32203e11i | 0.0764968 | − | 0.0641885i | ||||
\(546\) | 9.60401e11 | − | 3.49558e11i | 0.462473 | − | 0.168326i | ||||
\(547\) | −1.16453e11 | − | 4.23854e10i | −0.0556170 | − | 0.0202429i | 0.314062 | − | 0.949403i | \(-0.398310\pi\) |
−0.369679 | + | 0.929160i | \(0.620532\pi\) | |||||||
\(548\) | −3.02164e11 | − | 2.53546e11i | −0.143130 | − | 0.120100i | ||||
\(549\) | −4.09805e8 | + | 2.32412e9i | −0.000192532 | + | 0.00109190i | ||||
\(550\) | −2.38002e12 | −1.10904 | ||||||||
\(551\) | −1.83877e11 | − | 1.25523e12i | −0.0849853 | − | 0.580153i | ||||
\(552\) | 1.06413e12 | 0.487828 | ||||||||
\(553\) | 1.14625e11 | − | 6.50072e11i | 0.0521215 | − | 0.295596i | ||||
\(554\) | 7.97488e11 | + | 6.69172e11i | 0.359692 | + | 0.301817i | ||||
\(555\) | 1.69318e11 | + | 6.16266e10i | 0.0757502 | + | 0.0275708i | ||||
\(556\) | 1.09114e12 | − | 3.97142e11i | 0.484221 | − | 0.176242i | ||||
\(557\) | −1.59843e12 | + | 1.34124e12i | −0.703631 | + | 0.590417i | −0.922804 | − | 0.385269i | \(-0.874109\pi\) |
0.219173 | + | 0.975686i | \(0.429664\pi\) | |||||||
\(558\) | −5.82536e10 | − | 1.00898e11i | −0.0254372 | − | 0.0440584i | ||||
\(559\) | 9.27470e11 | − | 1.60643e12i | 0.401742 | − | 0.695837i | ||||
\(560\) | 6.60728e9 | + | 3.74717e10i | 0.00283907 | + | 0.0161012i | ||||
\(561\) | −1.19845e12 | − | 6.79676e12i | −0.510843 | − | 2.89714i | ||||
\(562\) | 2.06608e11 | − | 3.57856e11i | 0.0873643 | − | 0.151319i | ||||
\(563\) | −1.72469e12 | − | 2.98725e12i | −0.723474 | − | 1.25309i | −0.959599 | − | 0.281371i | \(-0.909211\pi\) |
0.236125 | − | 0.971723i | \(-0.424123\pi\) | |||||||
\(564\) | −1.65421e12 | + | 1.38805e12i | −0.688389 | + | 0.577627i | ||||
\(565\) | −2.40735e10 | + | 8.76204e9i | −0.00993851 | + | 0.00361732i | ||||
\(566\) | 7.72825e11 | + | 2.81285e11i | 0.316524 | + | 0.115205i | ||||
\(567\) | −1.19542e12 | − | 1.00307e12i | −0.485731 | − | 0.407576i | ||||
\(568\) | 4.75652e9 | − | 2.69756e10i | 0.00191744 | − | 0.0108743i | ||||
\(569\) | 1.61826e12 | 0.647209 | 0.323604 | − | 0.946193i | \(-0.395105\pi\) | ||||
0.323604 | + | 0.946193i | \(0.395105\pi\) | |||||||
\(570\) | −1.05470e11 | + | 1.70996e11i | −0.0418496 | + | 0.0678500i | ||||
\(571\) | −5.66241e11 | −0.222915 | −0.111457 | − | 0.993769i | \(-0.535552\pi\) | ||||
−0.111457 | + | 0.993769i | \(0.535552\pi\) | |||||||
\(572\) | 3.97970e11 | − | 2.25700e12i | 0.155442 | − | 0.881555i | ||||
\(573\) | −2.99132e12 | − | 2.51001e12i | −1.15922 | − | 0.972703i | ||||
\(574\) | 1.20661e12 | + | 4.39170e11i | 0.463942 | + | 0.168861i | ||||
\(575\) | 3.25570e12 | − | 1.18498e12i | 1.24205 | − | 0.452070i | ||||
\(576\) | 1.61499e10 | − | 1.35514e10i | 0.00611320 | − | 0.00512958i | ||||
\(577\) | 8.40582e11 | + | 1.45593e12i | 0.315710 | + | 0.546827i | 0.979588 | − | 0.201015i | \(-0.0644238\pi\) |
−0.663878 | + | 0.747841i | \(0.731091\pi\) | |||||||
\(578\) | 2.11412e12 | − | 3.66176e12i | 0.787870 | − | 1.36463i | ||||
\(579\) | 6.54116e11 | + | 3.70968e12i | 0.241881 | + | 1.37177i | ||||
\(580\) | −1.51654e10 | − | 8.60073e10i | −0.00556452 | − | 0.0315580i | ||||
\(581\) | 8.43584e11 | − | 1.46113e12i | 0.307140 | − | 0.531981i | ||||
\(582\) | −1.01932e12 | − | 1.76551e12i | −0.368261 | − | 0.637846i | ||||
\(583\) | 5.86804e11 | − | 4.92387e11i | 0.210370 | − | 0.176522i | ||||
\(584\) | −4.52069e11 | + | 1.64540e11i | −0.160823 | + | 0.0585346i | ||||
\(585\) | 2.09494e10 | + | 7.62495e9i | 0.00739554 | + | 0.00269176i | ||||
\(586\) | 1.61051e12 | + | 1.35138e12i | 0.564189 | + | 0.473410i | ||||
\(587\) | −2.42874e11 | + | 1.37740e12i | −0.0844323 | + | 0.478840i | 0.913045 | + | 0.407858i | \(0.133724\pi\) |
−0.997478 | + | 0.0709814i | \(0.977387\pi\) | |||||||
\(588\) | 9.59738e11 | 0.331096 | ||||||||
\(589\) | 1.56230e12 | + | 2.89739e12i | 0.534865 | + | 0.991948i | ||||
\(590\) | −3.22147e11 | −0.109451 | ||||||||
\(591\) | 4.95166e11 | − | 2.80822e12i | 0.166958 | − | 0.946865i | ||||
\(592\) | 4.09229e11 | + | 3.43384e11i | 0.136936 | + | 0.114903i | ||||
\(593\) | 2.47873e12 | + | 9.02182e11i | 0.823156 | + | 0.299604i | 0.719047 | − | 0.694961i | \(-0.244579\pi\) |
0.104109 | + | 0.994566i | \(0.466801\pi\) | |||||||
\(594\) | −3.09016e12 | + | 1.12473e12i | −1.01845 | + | 0.370687i | ||||
\(595\) | −2.75196e11 | + | 2.30917e11i | −0.0900152 | + | 0.0755317i | ||||
\(596\) | −1.02626e12 | − | 1.77754e12i | −0.333159 | − | 0.577048i | ||||
\(597\) | −2.04727e12 | + | 3.54598e12i | −0.659615 | + | 1.14249i | ||||
\(598\) | 5.79334e11 | + | 3.28557e12i | 0.185257 | + | 1.05064i | ||||
\(599\) | 3.12058e11 | + | 1.76977e12i | 0.0990408 | + | 0.561689i | 0.993434 | + | 0.114407i | \(0.0364967\pi\) |
−0.894393 | + | 0.447282i | \(0.852392\pi\) | |||||||
\(600\) | 5.71905e11 | − | 9.90569e11i | 0.180154 | − | 0.312036i | ||||
\(601\) | −2.32143e12 | − | 4.02084e12i | −0.725807 | − | 1.25713i | −0.958641 | − | 0.284618i | \(-0.908133\pi\) |
0.232834 | − | 0.972517i | \(-0.425200\pi\) | |||||||
\(602\) | −7.44024e11 | + | 6.24310e11i | −0.230889 | + | 0.193739i | ||||
\(603\) | −1.52233e11 | + | 5.54082e10i | −0.0468900 | + | 0.0170666i | ||||
\(604\) | 1.55131e12 | + | 5.64631e11i | 0.474278 | + | 0.172623i | ||||
\(605\) | 4.19348e11 | + | 3.51875e11i | 0.127255 | + | 0.106780i | ||||
\(606\) | −5.80210e11 | + | 3.29053e12i | −0.174766 | + | 0.991150i | ||||
\(607\) | 3.92196e12 | 1.17261 | 0.586305 | − | 0.810090i | \(-0.300582\pi\) | ||||
0.586305 | + | 0.810090i | \(0.300582\pi\) | |||||||
\(608\) | −4.67234e11 | + | 3.69447e11i | −0.138665 | + | 0.109644i | ||||
\(609\) | 1.22829e12 | 0.361846 | ||||||||
\(610\) | 7.97079e8 | − | 4.52046e9i | 0.000233086 | − | 0.00132190i | ||||
\(611\) | −5.18628e12 | − | 4.35181e12i | −1.50546 | − | 1.26324i | ||||
\(612\) | 1.87041e11 | + | 6.80775e10i | 0.0538960 | + | 0.0196165i | ||||
\(613\) | −1.07126e12 | + | 3.89908e11i | −0.306425 | + | 0.111529i | −0.490656 | − | 0.871353i | \(-0.663243\pi\) |
0.184231 | + | 0.982883i | \(0.441021\pi\) | |||||||
\(614\) | −1.38752e12 | + | 1.16427e12i | −0.393987 | + | 0.330594i | ||||
\(615\) | 2.33368e11 | + | 4.04206e11i | 0.0657816 | + | 0.113937i | ||||
\(616\) | −6.00003e11 | + | 1.03923e12i | −0.167896 | + | 0.290804i | ||||
\(617\) | 5.82794e11 | + | 3.30519e12i | 0.161894 | + | 0.918149i | 0.952209 | + | 0.305448i | \(0.0988061\pi\) |
−0.790314 | + | 0.612701i | \(0.790083\pi\) | |||||||
\(618\) | 6.04873e11 | + | 3.43040e12i | 0.166808 | + | 0.946013i | ||||
\(619\) | 2.84446e12 | − | 4.92675e12i | 0.778739 | − | 1.34882i | −0.153930 | − | 0.988082i | \(-0.549193\pi\) |
0.932669 | − | 0.360733i | \(-0.117474\pi\) | |||||||
\(620\) | 1.13304e11 | + | 1.96249e11i | 0.0307952 | + | 0.0533389i | ||||
\(621\) | 3.66714e12 | − | 3.07710e12i | 0.989499 | − | 0.830288i | ||||
\(622\) | 2.83321e12 | − | 1.03120e12i | 0.758965 | − | 0.276241i | ||||
\(623\) | 3.97593e12 | + | 1.44712e12i | 1.05741 | + | 0.384865i | ||||
\(624\) | 8.43739e11 | + | 7.07981e11i | 0.222781 | + | 0.186935i | ||||
\(625\) | 6.38768e11 | − | 3.62263e12i | 0.167449 | − | 0.949651i | ||||
\(626\) | 1.54283e12 | 0.401545 | ||||||||
\(627\) | −6.01453e12 | + | 1.99306e12i | −1.55417 | + | 0.515011i | ||||
\(628\) | 1.88574e12 | 0.483798 | ||||||||
\(629\) | −8.75828e11 | + | 4.96707e12i | −0.223096 | + | 1.26524i | ||||
\(630\) | −8.94216e9 | − | 7.50336e9i | −0.00226157 | − | 0.00189768i | ||||
\(631\) | 1.42636e12 | + | 5.19152e11i | 0.358176 | + | 0.130365i | 0.514839 | − | 0.857287i | \(-0.327852\pi\) |
−0.156663 | + | 0.987652i | \(0.550074\pi\) | |||||||
\(632\) | 6.68471e11 | − | 2.43304e11i | 0.166669 | − | 0.0606627i | ||||
\(633\) | −6.53437e11 | + | 5.48299e11i | −0.161766 | + | 0.135738i | ||||
\(634\) | −8.03708e11 | − | 1.39206e12i | −0.197559 | − | 0.342182i | ||||
\(635\) | −3.10801e11 | + | 5.38324e11i | −0.0758580 | + | 0.131390i | ||||
\(636\) | 6.39268e10 | + | 3.62547e11i | 0.0154927 | + | 0.0878632i | ||||
\(637\) | 5.22503e11 | + | 2.96326e12i | 0.125736 | + | 0.713087i | ||||
\(638\) | 1.37716e12 | − | 2.38531e12i | 0.329072 | − | 0.569970i | ||||
\(639\) | 4.20170e9 | + | 7.27755e9i | 0.000996945 | + | 0.00172676i | ||||
\(640\) | −3.14118e10 | + | 2.63577e10i | −0.00740088 | + | 0.00621008i | ||||
\(641\) | −2.51469e12 | + | 9.15274e11i | −0.588334 | + | 0.214136i | −0.618996 | − | 0.785394i | \(-0.712460\pi\) |
0.0306626 | + | 0.999530i | \(0.490238\pi\) | |||||||
\(642\) | −2.56570e12 | − | 9.33839e11i | −0.596072 | − | 0.216952i | ||||
\(643\) | 3.72399e12 | + | 3.12480e12i | 0.859131 | + | 0.720896i | 0.961781 | − | 0.273821i | \(-0.0882877\pi\) |
−0.102650 | + | 0.994718i | \(0.532732\pi\) | |||||||
\(644\) | 3.03341e11 | − | 1.72033e12i | 0.0694937 | − | 0.394118i | ||||
\(645\) | −3.53040e11 | −0.0803165 | ||||||||
\(646\) | −5.22645e12 | − | 2.07628e12i | −1.18076 | − | 0.469072i | ||||
\(647\) | −5.71182e12 | −1.28146 | −0.640730 | − | 0.767766i | \(-0.721368\pi\) | ||||
−0.640730 | + | 0.767766i | \(0.721368\pi\) | |||||||
\(648\) | 2.92027e11 | − | 1.65617e12i | 0.0650632 | − | 0.368992i | ||||
\(649\) | −7.78284e12 | − | 6.53058e12i | −1.72202 | − | 1.44494i | ||||
\(650\) | 3.36981e12 | + | 1.22651e12i | 0.740450 | + | 0.269502i | ||||
\(651\) | −2.99488e12 | + | 1.09005e12i | −0.653529 | + | 0.237865i | ||||
\(652\) | −3.24965e11 | + | 2.72678e11i | −0.0704242 | + | 0.0590930i | ||||
\(653\) | −2.58899e12 | − | 4.48426e12i | −0.557213 | − | 0.965121i | −0.997728 | − | 0.0673757i | \(-0.978537\pi\) |
0.440515 | − | 0.897745i | \(-0.354796\pi\) | |||||||
\(654\) | −1.55865e12 | + | 2.69966e12i | −0.333157 | + | 0.577044i | ||||
\(655\) | −1.84925e10 | − | 1.04876e11i | −0.00392563 | − | 0.0222633i | ||||
\(656\) | 2.40292e11 | + | 1.36276e12i | 0.0506607 | + | 0.287311i | ||||
\(657\) | 7.37947e10 | − | 1.27816e11i | 0.0154519 | − | 0.0267634i | ||||
\(658\) | 1.77245e12 | + | 3.06998e12i | 0.368603 | + | 0.638438i | ||||
\(659\) | −2.07503e12 | + | 1.74116e12i | −0.428588 | + | 0.359628i | −0.831419 | − | 0.555647i | \(-0.812471\pi\) |
0.402831 | + | 0.915274i | \(0.368026\pi\) | |||||||
\(660\) | −4.09883e11 | + | 1.49185e11i | −0.0840837 | + | 0.0306040i | ||||
\(661\) | −4.25298e12 | − | 1.54796e12i | −0.866537 | − | 0.315394i | −0.129773 | − | 0.991544i | \(-0.541425\pi\) |
−0.736764 | + | 0.676150i | \(0.763647\pi\) | |||||||
\(662\) | 2.95171e12 | + | 2.47678e12i | 0.597328 | + | 0.501218i | ||||
\(663\) | −1.80576e12 | + | 1.02410e13i | −0.362952 | + | 2.05840i | ||||
\(664\) | 1.81822e12 | 0.362985 | ||||||||
\(665\) | 2.46378e11 | + | 2.19254e11i | 0.0488545 | + | 0.0434760i | ||||
\(666\) | −1.63889e11 | −0.0322786 | ||||||||
\(667\) | −6.96247e11 | + | 3.94861e12i | −0.136206 | + | 0.772464i | ||||
\(668\) | 4.85916e11 | + | 4.07732e11i | 0.0944206 | + | 0.0792283i | ||||
\(669\) | 6.48234e11 | + | 2.35938e11i | 0.125116 | + | 0.0455386i | ||||
\(670\) | 2.96095e11 | − | 1.07770e11i | 0.0567669 | − | 0.0206614i | ||||
\(671\) | 1.10896e11 | − | 9.30528e10i | 0.0211186 | − | 0.0177206i | ||||
\(672\) | −2.88355e11 | − | 4.99445e11i | −0.0545463 | − | 0.0944769i | ||||
\(673\) | 4.28381e12 | − | 7.41977e12i | 0.804937 | − | 1.39419i | −0.111396 | − | 0.993776i | \(-0.535532\pi\) |
0.916333 | − | 0.400416i | \(-0.131134\pi\) | |||||||
\(674\) | 9.57942e10 | + | 5.43276e11i | 0.0178801 | + | 0.101403i | ||||
\(675\) | −8.93522e11 | − | 5.06741e12i | −0.165668 | − | 0.939549i | ||||
\(676\) | −3.69217e11 | + | 6.39503e11i | −0.0680020 | + | 0.117783i | ||||
\(677\) | −4.14970e11 | − | 7.18748e11i | −0.0759219 | − | 0.131501i | 0.825565 | − | 0.564307i | \(-0.190857\pi\) |
−0.901487 | + | 0.432807i | \(0.857523\pi\) | |||||||
\(678\) | 2.97449e11 | − | 2.49589e11i | 0.0540603 | − | 0.0453620i | ||||
\(679\) | −3.14480e12 | + | 1.14461e12i | −0.567779 | + | 0.206655i | ||||
\(680\) | −3.63799e11 | − | 1.32412e11i | −0.0652486 | − | 0.0237485i | ||||
\(681\) | −5.97042e12 | − | 5.00978e12i | −1.06376 | − | 0.892599i | ||||
\(682\) | −1.24102e12 | + | 7.03815e12i | −0.219658 | + | 1.24574i | ||||
\(683\) | 3.23669e12 | 0.569125 | 0.284562 | − | 0.958658i | \(-0.408152\pi\) | ||||
0.284562 | + | 0.958658i | \(0.408152\pi\) | |||||||
\(684\) | 3.69511e10 | − | 1.78962e11i | 0.00645468 | − | 0.0312615i | ||||
\(685\) | −2.35369e11 | −0.0408452 | ||||||||
\(686\) | 6.99718e11 | − | 3.96830e12i | 0.120633 | − | 0.684141i | ||||
\(687\) | 7.57310e12 | + | 6.35459e12i | 1.29709 | + | 1.08838i | ||||
\(688\) | −9.83571e11 | − | 3.57991e11i | −0.167362 | − | 0.0609149i | ||||
\(689\) | −1.08459e12 | + | 3.94757e11i | −0.183349 | + | 0.0667335i | ||||
\(690\) | 4.86414e11 | − | 4.08150e11i | 0.0816931 | − | 0.0685487i | ||||
\(691\) | 1.97474e12 | + | 3.42036e12i | 0.329503 | + | 0.570716i | 0.982413 | − | 0.186719i | \(-0.0597854\pi\) |
−0.652910 | + | 0.757435i | \(0.726452\pi\) | |||||||
\(692\) | −1.05068e12 | + | 1.81982e12i | −0.174177 | + | 0.301684i | ||||
\(693\) | −6.39277e10 | − | 3.62552e11i | −0.0105291 | − | 0.0597133i | ||||
\(694\) | −6.93244e11 | − | 3.93158e12i | −0.113441 | − | 0.643354i | ||||
\(695\) | 3.46437e11 | − | 6.00046e11i | 0.0563239 | − | 0.0975558i | ||||
\(696\) | 6.61848e11 | + | 1.14635e12i | 0.106910 | + | 0.185173i | ||||
\(697\) | −1.00083e13 | + | 8.39792e12i | −1.60624 | + | 1.34780i | ||||
\(698\) | −1.85967e12 | + | 6.76863e11i | −0.296542 | + | 0.107932i | ||||
\(699\) | 5.77575e12 | + | 2.10220e12i | 0.915084 | + | 0.333063i | ||||
\(700\) | −1.43839e12 | − | 1.20695e12i | −0.226431 | − | 0.189998i | ||||
\(701\) | −4.78758e11 | + | 2.71517e12i | −0.0748834 | + | 0.424685i | 0.924201 | + | 0.381906i | \(0.124732\pi\) |
−0.999085 | + | 0.0427787i | \(0.986379\pi\) | |||||||
\(702\) | 4.95490e12 | 0.770048 | ||||||||
\(703\) | 4.62850e12 | + | 1.34633e11i | 0.714729 | + | 0.0207900i | ||||
\(704\) | −1.29321e12 | −0.198424 | ||||||||
\(705\) | −2.23752e11 | + | 1.26896e12i | −0.0341126 | + | 0.193462i | ||||
\(706\) | −5.78459e12 | − | 4.85385e12i | −0.876297 | − | 0.735301i | ||||
\(707\) | 5.15429e12 | + | 1.87601e12i | 0.775857 | + | 0.282389i | ||||
\(708\) | 4.58822e12 | − | 1.66997e12i | 0.686269 | − | 0.249781i | ||||
\(709\) | −2.27631e12 | + | 1.91005e12i | −0.338316 | + | 0.283881i | −0.796078 | − | 0.605194i | \(-0.793096\pi\) |
0.457762 | + | 0.889075i | \(0.348651\pi\) | |||||||
\(710\) | −8.17238e9 | − | 1.41550e10i | −0.00120694 | − | 0.00209048i | ||||
\(711\) | −1.09120e11 | + | 1.89001e11i | −0.0160136 | + | 0.0277364i | ||||
\(712\) | 7.91791e11 | + | 4.49047e12i | 0.115465 | + | 0.654835i | ||||
\(713\) | −1.80657e12 | − | 1.02456e13i | −0.261790 | − | 1.48468i | ||||
\(714\) | 2.72247e12 | − | 4.71545e12i | 0.392032 | − | 0.679018i | ||||
\(715\) | −6.83770e11 | − | 1.18432e12i | −0.0978437 | − | 0.169470i | ||||
\(716\) | 3.97354e12 | − | 3.33420e12i | 0.565027 | − | 0.474114i | ||||
\(717\) | 8.92536e12 | − | 3.24856e12i | 1.26122 | − | 0.459045i | ||||
\(718\) | −4.12441e12 | − | 1.50116e12i | −0.579165 | − | 0.210799i | ||||
\(719\) | 3.62664e12 | + | 3.04312e12i | 0.506087 | + | 0.424657i | 0.859750 | − | 0.510716i | \(-0.170620\pi\) |
−0.353663 | + | 0.935373i | \(0.615064\pi\) | |||||||
\(720\) | 2.18447e9 | − | 1.23887e10i | 0.000302935 | − | 0.00171803i | ||||
\(721\) | 5.71824e12 | 0.788050 | ||||||||
\(722\) | −1.19058e12 | + | 5.02386e12i | −0.163058 | + | 0.688050i | ||||
\(723\) | −1.24318e12 | −0.169204 | ||||||||
\(724\) | 5.82437e9 | − | 3.30317e10i | 0.000787817 | − | 0.00446793i | ||||
\(725\) | 3.30148e12 | + | 2.77027e12i | 0.443800 | + | 0.372392i | ||||
\(726\) | −7.79671e12 | − | 2.83777e12i | −1.04159 | − | 0.379107i | ||||
\(727\) | 7.99530e12 | − | 2.91005e12i | 1.06152 | − | 0.386363i | 0.248524 | − | 0.968626i | \(-0.420055\pi\) |
0.813001 | + | 0.582262i | \(0.197832\pi\) | |||||||
\(728\) | 1.38509e12 | − | 1.16223e12i | 0.182762 | − | 0.153355i | ||||
\(729\) | −3.53930e12 | − | 6.13024e12i | −0.464133 | − | 0.803903i | ||||
\(730\) | −1.43532e11 | + | 2.48605e11i | −0.0187066 | + | 0.0324008i | ||||
\(731\) | −1.71603e12 | − | 9.73212e12i | −0.222279 | − | 1.26061i | ||||
\(732\) | 1.20811e10 | + | 6.85152e10i | 0.00155527 | + | 0.00882038i | ||||
\(733\) | −1.03955e12 | + | 1.80055e12i | −0.133007 | + | 0.230376i | −0.924835 | − | 0.380370i | \(-0.875797\pi\) |
0.791827 | + | 0.610745i | \(0.209130\pi\) | |||||||
\(734\) | −1.08980e12 | − | 1.88759e12i | −0.138584 | − | 0.240035i | ||||
\(735\) | 4.38698e11 | − | 3.68112e11i | 0.0554464 | − | 0.0465250i | ||||
\(736\) | 1.76903e12 | − | 6.43873e11i | 0.222221 | − | 0.0808817i | ||||
\(737\) | 9.33818e12 | + | 3.39882e12i | 1.16589 | + | 0.424350i | ||||
\(738\) | −3.25206e11 | − | 2.72880e11i | −0.0403557 | − | 0.0338624i | ||||
\(739\) | 9.88493e11 | − | 5.60603e12i | 0.121920 | − | 0.691441i | −0.861170 | − | 0.508317i | \(-0.830268\pi\) |
0.983090 | − | 0.183124i | \(-0.0586210\pi\) | |||||||
\(740\) | 3.18766e11 | 0.0390778 | ||||||||
\(741\) | 9.54293e12 | + | 2.77584e11i | 1.16279 | + | 0.0338230i | ||||
\(742\) | 6.04340e11 | 0.0731920 | ||||||||
\(743\) | −1.84008e12 | + | 1.04356e13i | −0.221507 | + | 1.25623i | 0.647745 | + | 0.761857i | \(0.275712\pi\) |
−0.869252 | + | 0.494370i | \(0.835399\pi\) | |||||||
\(744\) | −2.63108e12 | − | 2.20774e12i | −0.314816 | − | 0.264162i | ||||
\(745\) | −1.15089e12 | − | 4.18891e11i | −0.136877 | − | 0.0498193i | ||||
\(746\) | 1.99415e10 | − | 7.25812e9i | 0.00235740 | − | 0.000858024i | ||||
\(747\) | −4.27302e11 | + | 3.58549e11i | −0.0502103 | + | 0.0421314i | ||||
\(748\) | −6.10487e12 | − | 1.05739e13i | −0.713048 | − | 1.23504i | ||||
\(749\) | −2.24109e12 | + | 3.88168e12i | −0.260190 | + | 0.450662i | ||||
\(750\) | −2.38469e11 | − | 1.35242e12i | −0.0275205 | − | 0.156076i | ||||
\(751\) | −1.94496e12 | − | 1.10304e13i | −0.223116 | − | 1.26535i | −0.866255 | − | 0.499602i | \(-0.833479\pi\) |
0.643139 | − | 0.765749i | \(-0.277632\pi\) | |||||||
\(752\) | −1.91013e12 | + | 3.30844e12i | −0.217812 | + | 0.377261i | ||||
\(753\) | −7.10526e12 | − | 1.23067e13i | −0.805384 | − | 1.39497i | ||||
\(754\) | −3.17913e12 | + | 2.66761e12i | −0.358210 | + | 0.300573i | ||||
\(755\) | 9.25675e11 | − | 3.36918e11i | 0.103681 | − | 0.0377367i | ||||
\(756\) | −2.43794e12 | − | 8.87338e11i | −0.271441 | − | 0.0987964i | ||||
\(757\) | −8.55710e12 | − | 7.18026e12i | −0.947099 | − | 0.794710i | 0.0317079 | − | 0.999497i | \(-0.489905\pi\) |
−0.978807 | + | 0.204787i | \(0.934350\pi\) | |||||||
\(758\) | −7.07422e11 | + | 4.01199e12i | −0.0778336 | + | 0.441416i | ||||
\(759\) | 2.00255e13 | 2.19026 | ||||||||
\(760\) | −7.18705e10 | + | 3.48085e11i | −0.00781429 | + | 0.0378464i | ||||
\(761\) | 1.00186e12 | 0.108287 | 0.0541433 | − | 0.998533i | \(-0.482757\pi\) | ||||
0.0541433 | + | 0.998533i | \(0.482757\pi\) | |||||||
\(762\) | 1.63602e12 | − | 9.27831e12i | 0.175788 | − | 0.996946i | ||||
\(763\) | 3.92014e12 | + | 3.28938e12i | 0.418736 | + | 0.351361i | ||||
\(764\) | −6.49158e12 | − | 2.36274e12i | −0.689335 | − | 0.250897i | ||||
\(765\) | 1.11608e11 | − | 4.06222e10i | 0.0117820 | − | 0.00428831i | ||||
\(766\) | 2.51030e12 | − | 2.10639e12i | 0.263448 | − | 0.221059i | ||||
\(767\) | 7.65410e12 | + | 1.32573e13i | 0.798573 | + | 1.38317i | ||||
\(768\) | 3.10752e11 | − | 5.38238e11i | 0.0322321 | − | 0.0558276i | ||||
\(769\) | −1.31208e12 | − | 7.44115e12i | −0.135298 | − | 0.767311i | −0.974652 | − | 0.223726i | \(-0.928178\pi\) |
0.839354 | − | 0.543585i | \(-0.182933\pi\) | |||||||
\(770\) | 1.24341e11 | + | 7.05170e11i | 0.0127469 | + | 0.0722913i | ||||
\(771\) | 8.59766e11 | − | 1.48916e12i | 0.0876266 | − | 0.151774i | ||||
\(772\) | 3.33204e12 | + | 5.77126e12i | 0.337623 | + | 0.584781i | ||||
\(773\) | −3.66114e12 | + | 3.07206e12i | −0.368815 | + | 0.309473i | −0.808293 | − | 0.588781i | \(-0.799608\pi\) |
0.439477 | + | 0.898254i | \(0.355164\pi\) | |||||||
\(774\) | 3.01746e11 | − | 1.09827e11i | 0.0302209 | − | 0.0109995i | ||||
\(775\) | −1.05083e13 | − | 3.82471e12i | −1.04634 | − | 0.380838i | ||||
\(776\) | −2.76279e12 | − | 2.31826e12i | −0.273509 | − | 0.229501i | ||||
\(777\) | −7.78503e11 | + | 4.41511e12i | −0.0766241 | + | 0.434557i | ||||
\(778\) | −1.11832e13 | −1.09435 | ||||||||
\(779\) | 8.96021e12 | + | 7.97377e12i | 0.871766 | + | 0.775792i | ||||
\(780\) | 6.57224e11 | 0.0635752 | ||||||||
\(781\) | 8.95116e10 | − | 5.07646e11i | 0.00860894 | − | 0.0488237i | ||||
\(782\) | 1.36157e13 | + | 1.14249e13i | 1.30199 | + | 1.09250i | ||||
\(783\) | 5.59570e12 | + | 2.03667e12i | 0.532019 | + | 0.193639i | ||||
\(784\) | 1.59549e12 | − | 5.80711e11i | 0.150824 | − | 0.0548956i | ||||
\(785\) | 8.61978e11 | − | 7.23285e11i | 0.0810182 | − | 0.0679824i | ||||
\(786\) | 8.07048e11 | + | 1.39785e12i | 0.0754219 | + | 0.130635i | ||||
\(787\) | −5.17749e11 | + | 8.96767e11i | −0.0481097 | + | 0.0833285i | −0.889077 | − | 0.457757i | \(-0.848653\pi\) |
0.840968 | + | 0.541085i | \(0.181986\pi\) | |||||||
\(788\) | −8.76005e11 | − | 4.96807e12i | −0.0809354 | − | 0.459007i | ||||
\(789\) | 1.62444e12 | + | 9.21265e12i | 0.149230 | + | 0.846326i | ||||
\(790\) | 2.12240e11 | − | 3.67610e11i | 0.0193867 | − | 0.0335788i | ||||
\(791\) | −3.18711e11 | − | 5.52023e11i | −0.0289469 | − | 0.0501375i | ||||
\(792\) | 3.03921e11 | − | 2.55020e11i | 0.0274471 | − | 0.0230309i | ||||
\(793\) | −2.04969e11 | + | 7.46025e10i | −0.0184059 | + | 0.00669921i | ||||
\(794\) | −1.37934e13 | − | 5.02038e12i | −1.23163 | − | 0.448275i | ||||
\(795\) | 1.68278e11 | + | 1.41202e11i | 0.0149408 | + | 0.0125368i | ||||
\(796\) | −1.25786e12 | + | 7.13366e12i | −0.111051 | + | 0.629802i | ||||
\(797\) | −9.94402e12 | −0.872971 | −0.436485 | − | 0.899711i | \(-0.643777\pi\) | ||||
−0.436485 | + | 0.899711i | \(0.643777\pi\) | |||||||
\(798\) | −4.64566e12 | − | 1.84556e12i | −0.405541 | − | 0.161107i | ||||
\(799\) | −3.60685e13 | −3.13089 | ||||||||
\(800\) | 3.51383e11 | − | 1.99279e12i | 0.0303302 | − | 0.172011i | ||||
\(801\) | −1.07159e12 | − | 8.99174e11i | −0.0919780 | − | 0.0771787i | ||||
\(802\) | 5.59437e12 | + | 2.03618e12i | 0.477493 | + | 0.173793i | ||||
\(803\) | −8.50737e12 | + | 3.09643e12i | −0.722063 | + | 0.262810i | ||||
\(804\) | −3.65851e12 | + | 3.06985e12i | −0.308782 | + | 0.259099i | ||||
\(805\) | −5.21184e11 | − | 9.02717e11i | −0.0437431 | − | 0.0757653i | ||||
\(806\) | 5.38414e12 | − | 9.32561e12i | 0.449375 | − | 0.778340i | ||||
\(807\) | 1.03590e12 | + | 5.87487e12i | 0.0859778 | + | 0.487604i | ||||
\(808\) | 1.02646e12 | + | 5.82133e12i | 0.0847207 | + | 0.480475i | ||||
\(809\) | −9.71492e11 | + | 1.68267e12i | −0.0797390 | + | 0.138112i | −0.903137 | − | 0.429352i | \(-0.858742\pi\) |
0.823398 | + | 0.567464i | \(0.192075\pi\) | |||||||
\(810\) | −5.01744e11 | − | 8.69046e11i | −0.0409543 | − | 0.0709349i | ||||
\(811\) | −8.57777e12 | + | 7.19760e12i | −0.696274 | + | 0.584244i | −0.920711 | − | 0.390245i | \(-0.872390\pi\) |
0.224437 | + | 0.974489i | \(0.427946\pi\) | |||||||
\(812\) | 2.04194e12 | − | 7.43205e11i | 0.164832 | − | 0.0599938i | ||||
\(813\) | 2.02643e13 | + | 7.37560e12i | 1.62676 | + | 0.592093i | ||||
\(814\) | 7.70118e12 | + | 6.46205e12i | 0.614819 | + | 0.515894i | ||||
\(815\) | −4.39554e10 | + | 2.49283e11i | −0.00348982 | + | 0.0197917i | ||||
\(816\) | 5.86786e12 | 0.463313 | ||||||||
\(817\) | −8.61206e12 | + | 2.85381e12i | −0.676251 | + | 0.224092i | ||||
\(818\) | 1.23294e13 | 0.962833 | ||||||||
\(819\) | −9.63228e10 | + | 5.46274e11i | −0.00748086 | + | 0.0424261i | ||||
\(820\) | 6.32531e11 | + | 5.30757e11i | 0.0488562 | + | 0.0409952i | ||||
\(821\) | −8.25568e12 | − | 3.00482e12i | −0.634174 | − | 0.230821i | 0.00487278 | − | 0.999988i | \(-0.498449\pi\) |
−0.639047 | + | 0.769168i | \(0.720671\pi\) | |||||||
\(822\) | 3.35227e12 | − | 1.22013e12i | 0.256104 | − | 0.0932141i | ||||
\(823\) | 6.31120e12 | − | 5.29572e12i | 0.479526 | − | 0.402370i | −0.370729 | − | 0.928741i | \(-0.620892\pi\) |
0.850255 | + | 0.526371i | \(0.176448\pi\) | |||||||
\(824\) | 3.08120e12 | + | 5.33679e12i | 0.232834 | + | 0.403281i | ||||
\(825\) | 1.07625e13 | − | 1.86413e13i | 0.808857 | − | 1.40098i | ||||
\(826\) | −1.39186e12 | − | 7.89366e12i | −0.104037 | − | 0.590022i | ||||
\(827\) | 4.71485e11 | + | 2.67393e12i | 0.0350504 | + | 0.198781i | 0.997305 | − | 0.0733711i | \(-0.0233758\pi\) |
−0.962254 | + | 0.272152i | \(0.912265\pi\) | |||||||
\(828\) | −2.88772e11 | + | 5.00167e11i | −0.0213510 | + | 0.0369810i | ||||
\(829\) | 8.02112e12 | + | 1.38930e13i | 0.589847 | + | 1.02165i | 0.994252 | + | 0.107066i | \(0.0341455\pi\) |
−0.404405 | + | 0.914580i | \(0.632521\pi\) | |||||||
\(830\) | 8.31111e11 | − | 6.97385e11i | 0.0607866 | − | 0.0510060i | ||||
\(831\) | −8.84750e12 | + | 3.22022e12i | −0.643600 | + | 0.234251i | ||||
\(832\) | 1.83103e12 | + | 6.66441e11i | 0.132477 | + | 0.0482177i | ||||
\(833\) | 1.22800e13 | + | 1.03041e13i | 0.883682 | + | 0.741497i | ||||
\(834\) | −1.82360e12 | + | 1.03421e13i | −0.130521 | + | 0.740224i | ||||
\(835\) | 3.78501e11 | 0.0269450 | ||||||||
\(836\) | −8.79275e12 | + | 6.95253e12i | −0.622582 | + | 0.492283i | ||||
\(837\) | −1.54512e13 | −1.08817 | ||||||||
\(838\) | −1.44393e12 | + | 8.18893e12i | −0.101146 | + | 0.573626i | ||||
\(839\) | −1.14546e13 | − | 9.61155e12i | −0.798089 | − | 0.669676i | 0.149644 | − | 0.988740i | \(-0.452187\pi\) |
−0.947733 | + | 0.319064i | \(0.896632\pi\) | |||||||
\(840\) | −3.23372e11 | − | 1.17698e11i | −0.0224102 | − | 0.00815664i | ||||
\(841\) | 8.94548e12 | − | 3.25589e12i | 0.616626 | − | 0.224433i | ||||
\(842\) | −6.52158e12 | + | 5.47225e12i | −0.447145 | + | 0.375199i | ||||
\(843\) | 1.86858e12 | + | 3.23647e12i | 0.127435 | + | 0.220723i | ||||
\(844\) | −7.54528e11 | + | 1.30688e12i | −0.0511840 | + | 0.0886533i | ||||
\(845\) | 7.65141e10 | + | 4.33933e11i | 0.00516282 | + | 0.0292798i | ||||
\(846\) | −2.03516e11 | − | 1.15420e12i | −0.0136594 | − | 0.0774663i | ||||
\(847\) | −6.81027e12 | + | 1.17957e13i | −0.454662 | + | 0.787498i | ||||
\(848\) | 3.25641e11 | + | 5.64026e11i | 0.0216251 | + | 0.0374557i | ||||
\(849\) | −5.69788e12 | + | 4.78109e12i | −0.376382 | + | 0.315822i | ||||
\(850\) | 1.79528e13 | − | 6.53428e12i | 1.17963 | − | 0.429351i | ||||
\(851\) | −1.37520e13 | − | 5.00534e12i | −0.898844 | − | 0.327153i | ||||
\(852\) | 1.89774e11 | + | 1.59239e11i | 0.0123384 | + | 0.0103531i | ||||
\(853\) | 1.55860e12 | − | 8.83923e12i | 0.100801 | − | 0.571668i | −0.892014 | − | 0.452007i | \(-0.850708\pi\) |
0.992815 | − | 0.119661i | \(-0.0381807\pi\) | |||||||
\(854\) | 1.14210e11 | 0.00734757 | ||||||||
\(855\) | −5.17514e10 | − | 9.59769e10i | −0.00331188 | − | 0.00614213i | ||||
\(856\) | −4.83032e12 | −0.307499 | ||||||||
\(857\) | 3.63402e12 | − | 2.06096e13i | 0.230130 | − | 1.30513i | −0.622500 | − | 0.782620i | \(-0.713883\pi\) |
0.852630 | − | 0.522514i | \(-0.175006\pi\) | |||||||
\(858\) | 1.58781e13 | + | 1.33233e13i | 1.00024 | + | 0.839304i | ||||
\(859\) | −3.75600e12 | − | 1.36707e12i | −0.235373 | − | 0.0856688i | 0.221641 | − | 0.975128i | \(-0.428859\pi\) |
−0.457014 | + | 0.889460i | \(0.651081\pi\) | |||||||
\(860\) | −5.86902e11 | + | 2.13615e11i | −0.0365866 | + | 0.0133164i | ||||
\(861\) | −8.89610e12 | + | 7.46471e12i | −0.551678 | + | 0.462912i | ||||
\(862\) | −8.94414e12 | − | 1.54917e13i | −0.551767 | − | 0.955689i | ||||
\(863\) | 6.43776e12 | − | 1.11505e13i | 0.395081 | − | 0.684301i | −0.598030 | − | 0.801474i | \(-0.704050\pi\) |
0.993112 | + | 0.117173i | \(0.0373831\pi\) | |||||||
\(864\) | −4.85506e11 | − | 2.75344e12i | −0.0296403 | − | 0.168099i | ||||
\(865\) | 2.17735e11 | + | 1.23484e12i | 0.0132238 | + | 0.0749959i | ||||
\(866\) | 1.06346e12 | − | 1.84196e12i | 0.0642523 | − | 0.111288i | ||||
\(867\) | 1.91203e13 | + | 3.31173e13i | 1.14923 | + | 1.99053i | ||||
\(868\) | −4.31920e12 | + | 3.62424e12i | −0.258264 | + | 0.216710i | ||||
\(869\) | 1.25798e13 | − | 4.57867e12i | 0.748314 | − | 0.272364i | ||||
\(870\) | 7.42222e11 | + | 2.70147e11i | 0.0439235 | + | 0.0159868i | ||||
\(871\) | −1.14702e13 | − | 9.62462e12i | −0.675287 | − | 0.566633i | ||||
\(872\) | −9.57645e11 | + | 5.43107e12i | −0.0560893 | + | 0.318098i | ||||
\(873\) | 1.10645e12 | 0.0644713 | ||||||||
\(874\) | 8.56630e12 | − | 1.38884e13i | 0.496583 | − | 0.805100i | ||||
\(875\) | −2.25440e12 | −0.130015 | ||||||||
\(876\) | 7.55533e11 | − | 4.28484e12i | 0.0433496 | − | 0.245848i | ||||
\(877\) | 1.96754e13 | + | 1.65096e13i | 1.12312 | + | 0.942407i | 0.998758 | − | 0.0498299i | \(-0.0158679\pi\) |
0.124360 | + | 0.992237i | \(0.460312\pi\) | |||||||
\(878\) | −5.48800e12 | − | 1.99747e12i | −0.311666 | − | 0.113437i | ||||
\(879\) | −1.78673e13 | + | 6.50317e12i | −1.00951 | + | 0.367431i | ||||
\(880\) | −5.91131e11 | + | 4.96018e11i | −0.0332286 | + | 0.0278821i | ||||
\(881\) | −2.95662e12 | − | 5.12101e12i | −0.165350 | − | 0.286394i | 0.771430 | − | 0.636315i | \(-0.219542\pi\) |
−0.936779 | + | 0.349920i | \(0.886209\pi\) | |||||||
\(882\) | −2.60444e11 | + | 4.51102e11i | −0.0144912 | + | 0.0250996i | ||||
\(883\) | −4.99992e12 | − | 2.83559e13i | −0.276783 | − | 1.56972i | −0.733240 | − | 0.679970i | \(-0.761993\pi\) |
0.456457 | − | 0.889746i | \(-0.349118\pi\) | |||||||
\(884\) | 3.19460e12 | + | 1.81175e13i | 0.175947 | + | 0.997843i | ||||
\(885\) | 1.45676e12 | − | 2.52318e12i | 0.0798257 | − | 0.138262i | ||||
\(886\) | −1.31200e12 | − | 2.27246e12i | −0.0715293 | − | 0.123892i | ||||
\(887\) | 2.53206e13 | − | 2.12465e13i | 1.37347 | − | 1.15248i | 0.401907 | − | 0.915680i | \(-0.368347\pi\) |
0.971560 | − | 0.236795i | \(-0.0760971\pi\) | |||||||
\(888\) | −4.54007e12 | + | 1.65245e12i | −0.245022 | + | 0.0891806i | ||||
\(889\) | −1.45336e13 | − | 5.28978e12i | −0.780394 | − | 0.284040i | ||||
\(890\) | 2.08427e12 | + | 1.74891e12i | 0.111352 | + | 0.0934356i | ||||
\(891\) | 5.49557e12 | − | 3.11670e13i | 0.292121 | − | 1.65670i | ||||
\(892\) | 1.22040e12 | 0.0645446 | ||||||||
\(893\) | 4.79948e12 | + | 3.27637e13i | 0.252559 | + | 1.72410i | ||||
\(894\) | 1.85632e13 | 0.971929 | ||||||||
\(895\) | 5.37470e11 | − | 3.04814e12i | 0.0279995 | − | 0.158793i | ||||
\(896\) | −7.81568e11 | − | 6.55813e11i | −0.0405117 | − | 0.0339934i | ||||
\(897\) | −2.83536e13 | − | 1.03199e13i | −1.46232 | − | 0.532241i | ||||
\(898\) | −2.03080e13 | + | 7.39149e12i | −1.04213 | + | 0.379305i | ||||
\(899\) | 9.91368e12 | − | 8.31856e12i | 0.506193 | − | 0.424746i | ||||
\(900\) | 3.10396e11 | + | 5.37622e11i | 0.0157697 | + | 0.0273140i | ||||
\(901\) | −3.07450e12 | + | 5.32519e12i | −0.155422 | + | 0.269199i | ||||
\(902\) | 4.52198e12 | + | 2.56454e13i | 0.227457 | + | 1.28997i | ||||
\(903\) | −1.52534e12 | − | 8.65064e12i | −0.0763435 | − | 0.432966i | ||||
\(904\) | 3.43466e11 | − | 5.94901e11i | 0.0171051 | − | 0.0296269i | ||||
\(905\) | −1.00071e10 | − | 1.73328e10i | −0.000495895 | − | 0.000858916i | ||||
\(906\) | −1.14375e13 | + | 9.59721e12i | −0.563968 | + | 0.473226i | ||||
\(907\) | −1.62100e13 | + | 5.89996e12i | −0.795336 | + | 0.289479i | −0.707552 | − | 0.706661i | \(-0.750201\pi\) |
−0.0877836 | + | 0.996140i | \(0.527978\pi\) | |||||||
\(908\) | −1.29566e13 | − | 4.71583e12i | −0.632566 | − | 0.230235i | ||||
\(909\) | −1.38919e12 | − | 1.16567e12i | −0.0674874 | − | 0.0566287i | ||||
\(910\) | 1.87350e11 | − | 1.06251e12i | 0.00905662 | − | 0.0513627i | ||||
\(911\) | 1.53299e13 | 0.737406 | 0.368703 | − | 0.929547i | \(-0.379802\pi\) | ||||
0.368703 | + | 0.929547i | \(0.379802\pi\) | |||||||
\(912\) | −7.80811e11 | − | 5.33022e12i | −0.0373740 | − | 0.255134i | ||||
\(913\) | 3.42165e13 | 1.62974 | ||||||||
\(914\) | 1.88869e12 | − | 1.07113e13i | 0.0895166 | − | 0.507674i | ||||
\(915\) | 3.18016e10 | + | 2.66847e10i | 0.00149987 | + | 0.00125854i | ||||
\(916\) | 1.64347e13 | + | 5.98174e12i | 0.771315 | + | 0.280736i | ||||
\(917\) | 2.48991e12 | − | 9.06253e11i | 0.116284 | − | 0.0423241i | ||||
\(918\) | 2.02216e13 | − | 1.69679e13i | 0.939772 | − | 0.788562i | ||||
\(919\) | 1.76816e12 | + | 3.06254e12i | 0.0817714 | + | 0.141632i | 0.904011 | − | 0.427509i | \(-0.140609\pi\) |
−0.822239 | + | 0.569142i | \(0.807276\pi\) | |||||||
\(920\) | 5.61666e11 | − | 9.72834e11i | 0.0258484 | − | 0.0447707i | ||||
\(921\) | −2.84459e12 | − | 1.61325e13i | −0.130272 | − | 0.738810i | ||||
\(922\) | −3.47629e12 | − | 1.97150e13i | −0.158426 | − | 0.898479i | ||||
\(923\) | −3.88346e11 | + | 6.72635e11i | −0.0176121 | + | 0.0305051i | ||||
\(924\) | −5.42647e12 | − | 9.39892e12i | −0.244903 | − | 0.424184i | ||||
\(925\) | −1.20503e13 | + | 1.01114e13i | −0.541202 | + | 0.454122i | ||||
\(926\) | 6.47140e12 | − | 2.35540e12i | 0.289234 | − | 0.105272i | ||||
\(927\) | −1.77653e12 | − | 6.46602e11i | −0.0790156 | − | 0.0287593i | ||||
\(928\) | 1.79390e12 | + | 1.50526e12i | 0.0794021 | + | 0.0666263i | ||||
\(929\) | 4.38607e12 | − | 2.48746e13i | 0.193199 | − | 1.09568i | −0.721762 | − | 0.692141i | \(-0.756667\pi\) |
0.914961 | − | 0.403543i | \(-0.132221\pi\) | |||||||
\(930\) | −2.04946e12 | −0.0898394 | ||||||||
\(931\) | 7.72597e12 | − | 1.25260e13i | 0.337039 | − | 0.546434i | ||||
\(932\) | 1.08737e13 | 0.472070 | ||||||||
\(933\) | −4.73508e12 | + | 2.68540e13i | −0.204578 | + | 1.16022i | ||||
\(934\) | 4.73935e12 | + | 3.97678e12i | 0.203778 | + | 0.170990i | ||||
\(935\) | −6.84623e12 | − | 2.49182e12i | −0.292954 | − | 0.106627i | ||||
\(936\) | −5.61735e11 | + | 2.04455e11i | −0.0239216 | + | 0.00870675i | ||||
\(937\) | −1.75189e13 | + | 1.47001e13i | −0.742468 | + | 0.623005i | −0.933499 | − | 0.358579i | \(-0.883261\pi\) |
0.191031 | + | 0.981584i | \(0.438817\pi\) | |||||||
\(938\) | 3.92003e12 | + | 6.78968e12i | 0.165339 | + | 0.286376i | ||||
\(939\) | −6.97675e12 | + | 1.20841e13i | −0.292858 | + | 0.507246i | ||||
\(940\) | 3.95842e11 | + | 2.24493e12i | 0.0165366 | + | 0.0937838i | ||||
\(941\) | −9.61726e11 | − | 5.45422e12i | −0.0399851 | − | 0.226767i | 0.958266 | − | 0.285877i | \(-0.0922848\pi\) |
−0.998251 | + | 0.0591101i | \(0.981174\pi\) | |||||||
\(942\) | −8.52740e12 | + | 1.47699e13i | −0.352848 | + | 0.611151i | ||||
\(943\) | −1.89543e13 | − | 3.28298e13i | −0.780557 | − | 1.35196i | ||||
\(944\) | 6.61710e12 | − | 5.55241e12i | 0.271203 | − | 0.227566i | ||||
\(945\) | −1.45473e12 | + | 5.29479e11i | −0.0593389 | + | 0.0215976i | ||||
\(946\) | −1.85096e13 | − | 6.73693e12i | −0.751426 | − | 0.273497i | ||||
\(947\) | 8.38925e12 | + | 7.03942e12i | 0.338960 | + | 0.284421i | 0.796339 | − | 0.604851i | \(-0.206767\pi\) |
−0.457379 | + | 0.889272i | \(0.651212\pi\) | |||||||
\(948\) | −1.11720e12 | + | 6.33596e12i | −0.0449256 | + | 0.254786i | ||||
\(949\) | 1.36411e13 | 0.545948 | ||||||||
\(950\) | −8.32447e12 | − | 1.54384e13i | −0.331589 | − | 0.614957i | ||||
\(951\) | 1.45376e13 | 0.576342 | ||||||||
\(952\) | 1.67270e12 | − | 9.48637e12i | 0.0660013 | − | 0.374312i | ||||
\(953\) | −3.27498e13 | − | 2.74803e13i | −1.28615 | − | 1.07920i | −0.992366 | − | 0.123331i | \(-0.960642\pi\) |
−0.293780 | − | 0.955873i | \(-0.594913\pi\) | |||||||
\(954\) | −1.87754e11 | − | 6.83370e10i | −0.00733876 | − | 0.00267109i | ||||
\(955\) | −3.87356e12 | + | 1.40986e12i | −0.150694 | + | 0.0548480i | ||||
\(956\) | 1.28721e13 | − | 1.08010e13i | 0.498413 | − | 0.418218i | ||||
\(957\) | 1.24551e13 | + | 2.15729e13i | 0.480004 | + | 0.831391i | ||||
\(958\) | −6.20063e12 | + | 1.07398e13i | −0.237843 | + | 0.411957i | ||||
\(959\) | −1.01693e12 | − | 5.76731e12i | −0.0388247 | − | 0.220186i | ||||
\(960\) | −6.43982e10 | − | 3.65220e11i | −0.00244711 | − | 0.0138782i | ||||
\(961\) | −3.56989e12 | + | 6.18324e12i | −0.135021 | + | 0.233863i | ||||
\(962\) | −7.57378e12 | − | 1.31182e13i | −0.285118 | − | 0.493839i | ||||
\(963\) | 1.13518e12 | − | 9.52532e11i | 0.0425351 | − | 0.0356912i | ||||
\(964\) | −2.06669e12 | + | 7.52215e11i | −0.0770778 | + | 0.0280540i | ||||
\(965\) | 3.73668e12 | + | 1.36004e12i | 0.138712 | + | 0.0504869i | ||||
\(966\) | 1.21026e13 | + | 1.01553e13i | 0.447180 | + | 0.375229i | ||||
\(967\) | 4.63118e12 | − | 2.62647e13i | 0.170323 | − | 0.965948i | −0.773082 | − | 0.634306i | \(-0.781286\pi\) |
0.943405 | − | 0.331643i | \(-0.107603\pi\) | |||||||
\(968\) | −1.46785e13 | −0.537331 | ||||||||
\(969\) | 3.98965e13 | − | 3.15466e13i | 1.45371 | − | 1.14947i | ||||
\(970\) | −2.15206e12 | −0.0780515 | ||||||||
\(971\) | 1.89847e12 | − | 1.07668e13i | 0.0685358 | − | 0.388686i | −0.931173 | − | 0.364576i | \(-0.881214\pi\) |
0.999709 | − | 0.0241097i | \(-0.00767509\pi\) | |||||||
\(972\) | 1.35896e12 | + | 1.14030e12i | 0.0488324 | + | 0.0409752i | ||||
\(973\) | 1.61999e13 | + | 5.89629e12i | 0.579436 | + | 0.210897i | ||||
\(974\) | 1.90216e13 | − | 6.92328e12i | 0.677222 | − | 0.246489i | ||||
\(975\) | −2.48450e13 | + | 2.08474e13i | −0.880476 | + | 0.738807i | ||||
\(976\) | 6.15406e10 | + | 1.06591e11i | 0.00217089 | + | 0.00376009i | ||||
\(977\) | 1.15729e12 | − | 2.00449e12i | 0.0406366 | − | 0.0703846i | −0.844992 | − | 0.534779i | \(-0.820395\pi\) |
0.885628 | + | 0.464395i | \(0.153728\pi\) | |||||||
\(978\) | −6.66219e11 | − | 3.77831e12i | −0.0232858 | − | 0.132061i | ||||
\(979\) | 1.49005e13 | + | 8.45049e13i | 0.518416 | + | 2.94009i | ||||
\(980\) | 5.06568e11 | − | 8.77402e11i | 0.0175437 | − | 0.0303865i | ||||
\(981\) | −8.45941e11 | − | 1.46521e12i | −0.0291628 | − | 0.0505115i | ||||
\(982\) | 6.95914e12 | − | 5.83941e12i | 0.238811 | − | 0.200386i | ||||
\(983\) | 2.19230e13 | − | 7.97931e12i | 0.748874 | − | 0.272568i | 0.0607421 | − | 0.998153i | \(-0.480653\pi\) |
0.688132 | + | 0.725586i | \(0.258431\pi\) | |||||||
\(984\) | −1.17603e13 | − | 4.28040e12i | −0.399890 | − | 0.145548i | ||||
\(985\) | −2.30595e12 | − | 1.93492e12i | −0.0780525 | − | 0.0654938i | ||||
\(986\) | −3.83929e12 | + | 2.17737e13i | −0.129361 | + | 0.733644i | ||||
\(987\) | −3.20604e13 | −1.07533 | ||||||||
\(988\) | 1.60323e13 | − | 5.31270e12i | 0.535292 | − | 0.177382i | ||||
\(989\) | 2.86740e13 | 0.953027 | ||||||||
\(990\) | 4.11089e10 | − | 2.33140e11i | 0.00136012 | − | 0.00771363i | ||||
\(991\) | −5.52424e12 | − | 4.63539e12i | −0.181946 | − | 0.152670i | 0.547266 | − | 0.836959i | \(-0.315669\pi\) |
−0.729212 | + | 0.684288i | \(0.760113\pi\) | |||||||
\(992\) | −5.70982e12 | − | 2.07820e12i | −0.187206 | − | 0.0681374i | ||||
\(993\) | −3.27469e13 | + | 1.19189e13i | −1.06881 | + | 0.389013i | ||||
\(994\) | 3.11534e11 | − | 2.61408e11i | 0.0101220 | − | 0.00849338i | ||||
\(995\) | 2.16118e12 | + | 3.74327e12i | 0.0699015 | + | 0.121073i | ||||
\(996\) | −8.22204e12 | + | 1.42410e13i | −0.264736 | + | 0.458536i | ||||
\(997\) | 3.23798e12 | + | 1.83635e13i | 0.103788 | + | 0.588610i | 0.991698 | + | 0.128592i | \(0.0410459\pi\) |
−0.887910 | + | 0.460018i | \(0.847843\pi\) | |||||||
\(998\) | 2.78619e12 | + | 1.58013e13i | 0.0889044 | + | 0.504202i | ||||
\(999\) | −1.08674e13 | + | 1.88230e13i | −0.345210 | + | 0.597921i |
(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 | 38.10.e.a.17.2 | yes | 42 | |
19.9 | even | 9 | inner | 38.10.e.a.9.2 | ✓ | 42 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
38.10.e.a.9.2 | ✓ | 42 | 19.9 | even | 9 | inner | |
38.10.e.a.17.2 | yes | 42 | 1.1 | even | 1 | trivial |