Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [12,20,Mod(11,12)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(12, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1]))
N = Newforms(chi, 20, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("12.11");
S:= CuspForms(chi, 20);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 12 = 2^{2} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 20 \) |
Character orbit: | \([\chi]\) | \(=\) | 12.b (of order \(2\), degree \(1\), 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: | \(27.4580035868\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 11.23 | ||
Character | \(\chi\) | \(=\) | 12.11 |
Dual form | 12.20.b.a.11.24 |
$q$-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 \(\left(\mathbb{Z}/12\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(7\) |
\(\chi(n)\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 246.303 | − | 680.898i | 0.340161 | − | 0.940367i | ||||
\(3\) | −12845.9 | + | 31579.2i | −0.376801 | + | 0.926294i | ||||
\(4\) | −402957. | − | 335415.i | −0.768580 | − | 0.639753i | ||||
\(5\) | 225554.i | 0.0516459i | 0.999667 | + | 0.0258229i | \(0.00822061\pi\) | ||||
−0.999667 | + | 0.0258229i | \(0.991779\pi\) | |||||||
\(6\) | 1.83382e7 | + | 1.65248e7i | 0.742883 | + | 0.669421i | ||||
\(7\) | − | 9.84546e7i | − | 0.922157i | −0.887359 | − | 0.461078i | \(-0.847463\pi\) | ||
0.887359 | − | 0.461078i | \(-0.152537\pi\) | |||||||
\(8\) | −3.27633e8 | + | 1.91759e8i | −0.863044 | + | 0.505128i | ||||
\(9\) | −8.32227e8 | − | 8.11326e8i | −0.716041 | − | 0.698058i | ||||
\(10\) | 1.53579e8 | + | 5.55547e7i | 0.0485661 | + | 0.0175679i | ||||
\(11\) | −6.04702e9 | −0.773234 | −0.386617 | − | 0.922240i | \(-0.626356\pi\) | ||||
−0.386617 | + | 0.922240i | \(0.626356\pi\) | |||||||
\(12\) | 1.57685e10 | − | 8.41636e9i | 0.882202 | − | 0.470872i | ||||
\(13\) | 4.74938e10 | 1.24215 | 0.621076 | − | 0.783750i | \(-0.286696\pi\) | ||||
0.621076 | + | 0.783750i | \(0.286696\pi\) | |||||||
\(14\) | −6.70376e10 | − | 2.42497e10i | −0.867166 | − | 0.313682i | ||||
\(15\) | −7.12281e9 | − | 2.89744e9i | −0.0478393 | − | 0.0194602i | ||||
\(16\) | 4.98716e10 | + | 2.70316e11i | 0.181432 | + | 0.983404i | ||||
\(17\) | 8.55357e11i | 1.74937i | 0.484689 | + | 0.874687i | \(0.338933\pi\) | ||||
−0.484689 | + | 0.874687i | \(0.661067\pi\) | |||||||
\(18\) | −7.57411e11 | + | 3.66830e11i | −0.900000 | + | 0.435890i | ||||
\(19\) | 3.94199e11i | 0.280257i | 0.990133 | + | 0.140129i | \(0.0447516\pi\) | ||||
−0.990133 | + | 0.140129i | \(0.955248\pi\) | |||||||
\(20\) | 7.56542e10 | − | 9.08887e10i | 0.0330406 | − | 0.0396940i | ||||
\(21\) | 3.10912e12 | + | 1.26474e12i | 0.854188 | + | 0.347470i | ||||
\(22\) | −1.48940e12 | + | 4.11741e12i | −0.263024 | + | 0.727124i | ||||
\(23\) | 5.41125e10 | 0.00626446 | 0.00313223 | − | 0.999995i | \(-0.499003\pi\) | ||||
0.00313223 | + | 0.999995i | \(0.499003\pi\) | |||||||
\(24\) | −1.84686e12 | − | 1.28097e13i | −0.142701 | − | 0.989766i | ||||
\(25\) | 1.90226e13 | 0.997333 | ||||||||
\(26\) | 1.16979e13 | − | 3.23384e13i | 0.422532 | − | 1.16808i | ||||
\(27\) | 3.63117e13 | − | 1.58589e13i | 0.916412 | − | 0.400236i | ||||
\(28\) | −3.30231e13 | + | 3.96730e13i | −0.589953 | + | 0.708751i | ||||
\(29\) | − | 3.42747e12i | − | 0.0438725i | −0.999759 | − | 0.0219362i | \(-0.993017\pi\) | ||
0.999759 | − | 0.0219362i | \(-0.00698308\pi\) | |||||||
\(30\) | −3.72724e12 | + | 4.13626e12i | −0.0345728 | + | 0.0383668i | ||||
\(31\) | 2.38228e14i | 1.61829i | 0.587607 | + | 0.809146i | \(0.300070\pi\) | ||||
−0.587607 | + | 0.809146i | \(0.699930\pi\) | |||||||
\(32\) | 1.96341e14 | + | 3.26222e13i | 0.986476 | + | 0.163904i | ||||
\(33\) | 7.76794e13 | − | 1.90960e14i | 0.291356 | − | 0.716242i | ||||
\(34\) | 5.82411e14 | + | 2.10677e14i | 1.64505 | + | 0.595069i | ||||
\(35\) | 2.22068e13 | 0.0476256 | ||||||||
\(36\) | 6.32216e13 | + | 6.06071e14i | 0.103751 | + | 0.994603i | ||||
\(37\) | 4.65196e14 | 0.588464 | 0.294232 | − | 0.955734i | \(-0.404936\pi\) | ||||
0.294232 | + | 0.955734i | \(0.404936\pi\) | |||||||
\(38\) | 2.68410e14 | + | 9.70925e13i | 0.263544 | + | 0.0953326i | ||||
\(39\) | −6.10100e14 | + | 1.49981e15i | −0.468045 | + | 1.15060i | ||||
\(40\) | −4.32521e13 | − | 7.38990e13i | −0.0260878 | − | 0.0445727i | ||||
\(41\) | − | 2.62403e14i | − | 0.125176i | −0.998039 | − | 0.0625881i | \(-0.980065\pi\) | ||
0.998039 | − | 0.0625881i | \(-0.0199354\pi\) | |||||||
\(42\) | 1.62694e15 | − | 1.80548e15i | 0.617311 | − | 0.685055i | ||||
\(43\) | − | 2.87474e13i | − | 0.00872265i | −0.999990 | − | 0.00436132i | \(-0.998612\pi\) | ||
0.999990 | − | 0.00436132i | \(-0.00138826\pi\) | |||||||
\(44\) | 2.43669e15 | + | 2.02826e15i | 0.594293 | + | 0.494679i | ||||
\(45\) | 1.82998e14 | − | 1.87712e14i | 0.0360518 | − | 0.0369806i | ||||
\(46\) | 1.33281e13 | − | 3.68451e13i | 0.00213093 | − | 0.00589089i | ||||
\(47\) | 5.76501e15 | 0.751398 | 0.375699 | − | 0.926742i | \(-0.377403\pi\) | ||||
0.375699 | + | 0.926742i | \(0.377403\pi\) | |||||||
\(48\) | −9.17700e15 | − | 1.89755e15i | −0.979285 | − | 0.202489i | ||||
\(49\) | 1.70559e15 | 0.149627 | ||||||||
\(50\) | 4.68533e15 | − | 1.29525e16i | 0.339254 | − | 0.937859i | ||||
\(51\) | −2.70115e16 | − | 1.09878e16i | −1.62043 | − | 0.659166i | ||||
\(52\) | −1.91380e16 | − | 1.59301e16i | −0.954694 | − | 0.794671i | ||||
\(53\) | 3.52779e16i | 1.46853i | 0.678865 | + | 0.734263i | \(0.262472\pi\) | ||||
−0.678865 | + | 0.734263i | \(0.737528\pi\) | |||||||
\(54\) | −1.85458e15 | − | 2.86307e16i | −0.0646406 | − | 0.997909i | ||||
\(55\) | − | 1.36393e15i | − | 0.0399343i | ||||||
\(56\) | 1.88796e16 | + | 3.22570e16i | 0.465807 | + | 0.795862i | ||||
\(57\) | −1.24485e16 | − | 5.06384e15i | −0.259600 | − | 0.105601i | ||||
\(58\) | −2.33376e15 | − | 8.44196e14i | −0.0412562 | − | 0.0149237i | ||||
\(59\) | −1.05866e17 | −1.59097 | −0.795483 | − | 0.605976i | \(-0.792783\pi\) | ||||
−0.795483 | + | 0.605976i | \(0.792783\pi\) | |||||||
\(60\) | 1.89834e15 | + | 3.55664e15i | 0.0243186 | + | 0.0455621i | ||||
\(61\) | −5.09395e16 | −0.557727 | −0.278863 | − | 0.960331i | \(-0.589958\pi\) | ||||
−0.278863 | + | 0.960331i | \(0.589958\pi\) | |||||||
\(62\) | 1.62209e17 | + | 5.86764e16i | 1.52179 | + | 0.550481i | ||||
\(63\) | −7.98787e16 | + | 8.19366e16i | −0.643718 | + | 0.660302i | ||||
\(64\) | 7.05719e16 | − | 1.25653e17i | 0.489691 | − | 0.871896i | ||||
\(65\) | 1.07124e16i | 0.0641520i | ||||||||
\(66\) | −1.10892e17 | − | 9.99258e16i | −0.574423 | − | 0.517619i | ||||
\(67\) | 1.29179e17i | 0.580070i | 0.957016 | + | 0.290035i | \(0.0936670\pi\) | ||||
−0.957016 | + | 0.290035i | \(0.906333\pi\) | |||||||
\(68\) | 2.86899e17 | − | 3.44672e17i | 1.11917 | − | 1.34453i | ||||
\(69\) | −6.95124e14 | + | 1.70883e15i | −0.00236046 | + | 0.00580273i | ||||
\(70\) | 5.46961e15 | − | 1.51206e16i | 0.0162004 | − | 0.0447855i | ||||
\(71\) | −4.53111e17 | −1.17287 | −0.586435 | − | 0.809996i | \(-0.699469\pi\) | ||||
−0.586435 | + | 0.809996i | \(0.699469\pi\) | |||||||
\(72\) | 4.28245e17 | + | 1.06230e17i | 0.970584 | + | 0.240762i | ||||
\(73\) | 8.94130e17 | 1.77760 | 0.888799 | − | 0.458297i | \(-0.151541\pi\) | ||||
0.888799 | + | 0.458297i | \(0.151541\pi\) | |||||||
\(74\) | 1.14579e17 | − | 3.16751e17i | 0.200173 | − | 0.553372i | ||||
\(75\) | −2.44362e17 | + | 6.00718e17i | −0.375796 | + | 0.923823i | ||||
\(76\) | 1.32220e17 | − | 1.58846e17i | 0.179295 | − | 0.215400i | ||||
\(77\) | 5.95357e17i | 0.713043i | ||||||||
\(78\) | 8.70952e17 | + | 7.84825e17i | 0.922774 | + | 0.831523i | ||||
\(79\) | 6.91414e17i | 0.649054i | 0.945876 | + | 0.324527i | \(0.105205\pi\) | ||||
−0.945876 | + | 0.324527i | \(0.894795\pi\) | |||||||
\(80\) | −6.09709e16 | + | 1.12487e16i | −0.0507887 | + | 0.00937020i | ||||
\(81\) | 3.43532e16 | + | 1.35041e18i | 0.0254308 | + | 0.999677i | ||||
\(82\) | −1.78670e17 | − | 6.46307e16i | −0.117712 | − | 0.0425801i | ||||
\(83\) | −2.08387e18 | −1.22357 | −0.611785 | − | 0.791024i | \(-0.709548\pi\) | ||||
−0.611785 | + | 0.791024i | \(0.709548\pi\) | |||||||
\(84\) | −8.28629e17 | − | 1.55248e18i | −0.434217 | − | 0.813528i | ||||
\(85\) | −1.92929e17 | −0.0903479 | ||||||||
\(86\) | −1.95741e16 | − | 7.08058e15i | −0.00820249 | − | 0.00296711i | ||||
\(87\) | 1.08237e17 | + | 4.40289e16i | 0.0406388 | + | 0.0165312i | ||||
\(88\) | 1.98120e18 | − | 1.15957e18i | 0.667335 | − | 0.390582i | ||||
\(89\) | − | 2.97330e18i | − | 0.899569i | −0.893137 | − | 0.449784i | \(-0.851501\pi\) | ||
0.893137 | − | 0.449784i | \(-0.148499\pi\) | |||||||
\(90\) | −8.27401e16 | − | 1.70837e17i | −0.0225119 | − | 0.0464813i | ||||
\(91\) | − | 4.67598e18i | − | 1.14546i | ||||||
\(92\) | −2.18050e16 | − | 1.81501e16i | −0.00481474 | − | 0.00400771i | ||||
\(93\) | −7.52305e18 | − | 3.06026e18i | −1.49902 | − | 0.609775i | ||||
\(94\) | 1.41994e18 | − | 3.92538e18i | 0.255597 | − | 0.706590i | ||||
\(95\) | −8.89132e16 | −0.0144741 | ||||||||
\(96\) | −3.55236e18 | + | 5.78123e18i | −0.523528 | + | 0.852008i | ||||
\(97\) | 9.21289e17 | 0.123045 | 0.0615226 | − | 0.998106i | \(-0.480404\pi\) | ||||
0.0615226 | + | 0.998106i | \(0.480404\pi\) | |||||||
\(98\) | 4.20091e17 | − | 1.16133e18i | 0.0508975 | − | 0.140705i | ||||
\(99\) | 5.03250e18 | + | 4.90610e18i | 0.553668 | + | 0.539762i | ||||
\(100\) | −7.66530e18 | − | 6.38047e18i | −0.766530 | − | 0.638047i | ||||
\(101\) | 1.05473e19i | 0.959598i | 0.877378 | + | 0.479799i | \(0.159290\pi\) | ||||
−0.877378 | + | 0.479799i | \(0.840710\pi\) | |||||||
\(102\) | −1.41346e19 | + | 1.56857e19i | −1.17107 | + | 1.29958i | ||||
\(103\) | − | 1.64189e19i | − | 1.23991i | −0.784637 | − | 0.619956i | \(-0.787151\pi\) | ||
0.784637 | − | 0.619956i | \(-0.212849\pi\) | |||||||
\(104\) | −1.55605e19 | + | 9.10738e18i | −1.07203 | + | 0.627446i | ||||
\(105\) | −2.85267e17 | + | 7.01274e17i | −0.0179454 | + | 0.0441153i | ||||
\(106\) | 2.40207e19 | + | 8.68905e18i | 1.38095 | + | 0.499536i | ||||
\(107\) | 3.57670e19 | 1.88077 | 0.940386 | − | 0.340108i | \(-0.110464\pi\) | ||||
0.940386 | + | 0.340108i | \(0.110464\pi\) | |||||||
\(108\) | −1.99514e19 | − | 5.78904e18i | −0.960389 | − | 0.278664i | ||||
\(109\) | 3.59127e19 | 1.58379 | 0.791893 | − | 0.610659i | \(-0.209095\pi\) | ||||
0.791893 | + | 0.610659i | \(0.209095\pi\) | |||||||
\(110\) | −9.28698e17 | − | 3.35940e17i | −0.0375529 | − | 0.0135841i | ||||
\(111\) | −5.97586e18 | + | 1.46905e19i | −0.221734 | + | 0.545091i | ||||
\(112\) | 2.66138e19 | − | 4.91009e18i | 0.906852 | − | 0.167308i | ||||
\(113\) | − | 2.88218e19i | − | 0.902559i | −0.892383 | − | 0.451279i | \(-0.850968\pi\) | ||
0.892383 | − | 0.451279i | \(-0.149032\pi\) | |||||||
\(114\) | −6.51406e18 | + | 7.22892e18i | −0.187610 | + | 0.208198i | ||||
\(115\) | 1.22053e16i | 0.000323533i | ||||||||
\(116\) | −1.14962e18 | + | 1.38112e18i | −0.0280676 | + | 0.0337195i | ||||
\(117\) | −3.95256e19 | − | 3.85329e19i | −0.889433 | − | 0.867094i | ||||
\(118\) | −2.60750e19 | + | 7.20837e19i | −0.541185 | + | 1.49609i | ||||
\(119\) | 8.42138e19 | 1.61320 | ||||||||
\(120\) | 2.88928e18 | − | 4.16567e17i | 0.0511173 | − | 0.00736993i | ||||
\(121\) | −2.45926e19 | −0.402109 | ||||||||
\(122\) | −1.25466e19 | + | 3.46847e19i | −0.189717 | + | 0.524468i | ||||
\(123\) | 8.28647e18 | + | 3.37080e18i | 0.115950 | + | 0.0471666i | ||||
\(124\) | 7.99053e19 | − | 9.59959e19i | 1.03531 | − | 1.24379i | ||||
\(125\) | 8.59273e18i | 0.103154i | ||||||||
\(126\) | 3.61161e19 | + | 7.45706e19i | 0.401958 | + | 0.829941i | ||||
\(127\) | − | 2.77983e19i | − | 0.287000i | −0.989650 | − | 0.143500i | \(-0.954164\pi\) | ||
0.989650 | − | 0.143500i | \(-0.0458358\pi\) | |||||||
\(128\) | −6.81752e19 | − | 7.90011e19i | −0.653329 | − | 0.757074i | ||||
\(129\) | 9.07819e17 | + | 3.69286e17i | 0.00807974 | + | 0.00328670i | ||||
\(130\) | 7.29407e18 | + | 2.63850e18i | 0.0603265 | + | 0.0218220i | ||||
\(131\) | −2.22475e20 | −1.71082 | −0.855410 | − | 0.517951i | \(-0.826695\pi\) | ||||
−0.855410 | + | 0.517951i | \(0.826695\pi\) | |||||||
\(132\) | −9.53523e19 | + | 5.08939e19i | −0.682148 | + | 0.364094i | ||||
\(133\) | 3.88107e19 | 0.258441 | ||||||||
\(134\) | 8.79576e19 | + | 3.18171e19i | 0.545479 | + | 0.197317i | ||||
\(135\) | 3.57703e18 | + | 8.19025e18i | 0.0206705 | + | 0.0473289i | ||||
\(136\) | −1.64023e20 | − | 2.80243e20i | −0.883658 | − | 1.50979i | ||||
\(137\) | 1.89296e20i | 0.951251i | 0.879648 | + | 0.475626i | \(0.157778\pi\) | ||||
−0.879648 | + | 0.475626i | \(0.842222\pi\) | |||||||
\(138\) | 9.92328e17 | + | 8.94199e17i | 0.00465376 | + | 0.00419356i | ||||
\(139\) | − | 1.47801e20i | − | 0.647197i | −0.946195 | − | 0.323598i | \(-0.895107\pi\) | ||
0.946195 | − | 0.323598i | \(-0.104893\pi\) | |||||||
\(140\) | −8.94841e18 | − | 7.44850e18i | −0.0366041 | − | 0.0304686i | ||||
\(141\) | −7.40567e19 | + | 1.82054e20i | −0.283128 | + | 0.696016i | ||||
\(142\) | −1.11603e20 | + | 3.08522e20i | −0.398965 | + | 1.10293i | ||||
\(143\) | −2.87196e20 | −0.960474 | ||||||||
\(144\) | 1.77810e20 | − | 2.65426e20i | 0.556560 | − | 0.830808i | ||||
\(145\) | 7.73079e17 | 0.00226583 | ||||||||
\(146\) | 2.20227e20 | − | 6.08812e20i | 0.604670 | − | 1.67159i | ||||
\(147\) | −2.19098e19 | + | 5.38610e19i | −0.0563798 | + | 0.138599i | ||||
\(148\) | −1.87454e20 | − | 1.56034e20i | −0.452282 | − | 0.376472i | ||||
\(149\) | 1.86831e20i | 0.422844i | 0.977395 | + | 0.211422i | \(0.0678094\pi\) | ||||
−0.977395 | + | 0.211422i | \(0.932191\pi\) | |||||||
\(150\) | 3.48841e20 | + | 3.14345e20i | 0.740902 | + | 0.667636i | ||||
\(151\) | 7.06872e20i | 1.40948i | 0.709464 | + | 0.704742i | \(0.248937\pi\) | ||||
−0.709464 | + | 0.704742i | \(0.751063\pi\) | |||||||
\(152\) | −7.55914e19 | − | 1.29153e20i | −0.141566 | − | 0.241874i | ||||
\(153\) | 6.93973e20 | − | 7.11851e20i | 1.22116 | − | 1.25262i | ||||
\(154\) | 4.05378e20 | + | 1.46638e20i | 0.670522 | + | 0.242550i | ||||
\(155\) | −5.37333e19 | −0.0835782 | ||||||||
\(156\) | 7.48904e20 | − | 3.99725e20i | 1.09583 | − | 0.584894i | ||||
\(157\) | −6.00889e20 | −0.827461 | −0.413731 | − | 0.910399i | \(-0.635774\pi\) | ||||
−0.413731 | + | 0.910399i | \(0.635774\pi\) | |||||||
\(158\) | 4.70783e20 | + | 1.70297e20i | 0.610349 | + | 0.220783i | ||||
\(159\) | −1.11405e21 | − | 4.53176e20i | −1.36029 | − | 0.553343i | ||||
\(160\) | −7.35807e18 | + | 4.42856e19i | −0.00846494 | + | 0.0509474i | ||||
\(161\) | − | 5.32763e18i | − | 0.00577681i | ||||||
\(162\) | 9.27957e20 | + | 3.09220e20i | 0.948714 | + | 0.316137i | ||||
\(163\) | 1.43894e21i | 1.38759i | 0.720173 | + | 0.693795i | \(0.244063\pi\) | ||||
−0.720173 | + | 0.693795i | \(0.755937\pi\) | |||||||
\(164\) | −8.80138e19 | + | 1.05737e20i | −0.0800819 | + | 0.0962080i | ||||
\(165\) | 4.30718e19 | + | 1.75209e19i | 0.0369910 | + | 0.0150473i | ||||
\(166\) | −5.13264e20 | + | 1.41890e21i | −0.416211 | + | 1.15060i | ||||
\(167\) | 1.21411e21 | 0.929932 | 0.464966 | − | 0.885329i | \(-0.346067\pi\) | ||||
0.464966 | + | 0.885329i | \(0.346067\pi\) | |||||||
\(168\) | −1.26117e21 | + | 1.81832e20i | −0.912719 | + | 0.131593i | ||||
\(169\) | 7.93738e20 | 0.542942 | ||||||||
\(170\) | −4.75191e19 | + | 1.31365e20i | −0.0307329 | + | 0.0849602i | ||||
\(171\) | 3.19824e20 | − | 3.28063e20i | 0.195636 | − | 0.200676i | ||||
\(172\) | −9.64231e18 | + | 1.15840e19i | −0.00558034 | + | 0.00670405i | ||||
\(173\) | 3.05075e21i | 1.67097i | 0.549513 | + | 0.835485i | \(0.314813\pi\) | ||||
−0.549513 | + | 0.835485i | \(0.685187\pi\) | |||||||
\(174\) | 5.66382e19 | − | 6.28536e19i | 0.0293692 | − | 0.0325921i | ||||
\(175\) | − | 1.87286e21i | − | 0.919697i | ||||||
\(176\) | −3.01574e20 | − | 1.63461e21i | −0.140289 | − | 0.760401i | ||||
\(177\) | 1.35994e21 | − | 3.34315e21i | 0.599478 | − | 1.47370i | ||||
\(178\) | −2.02452e21 | − | 7.32334e20i | −0.845925 | − | 0.305999i | ||||
\(179\) | 2.43304e21 | 0.963931 | 0.481965 | − | 0.876190i | \(-0.339923\pi\) | ||||
0.481965 | + | 0.876190i | \(0.339923\pi\) | |||||||
\(180\) | −1.36702e20 | + | 1.42599e19i | −0.0513672 | + | 0.00535830i | ||||
\(181\) | −4.51227e21 | −1.60860 | −0.804300 | − | 0.594223i | \(-0.797460\pi\) | ||||
−0.804300 | + | 0.594223i | \(0.797460\pi\) | |||||||
\(182\) | −3.18387e21 | − | 1.15171e21i | −1.07715 | − | 0.389641i | ||||
\(183\) | 6.54364e20 | − | 1.60863e21i | 0.210152 | − | 0.516619i | ||||
\(184\) | −1.77291e19 | + | 1.03766e19i | −0.00540650 | + | 0.00316435i | ||||
\(185\) | 1.04927e20i | 0.0303917i | ||||||||
\(186\) | −3.93667e21 | + | 4.36868e21i | −1.08332 | + | 1.20220i | ||||
\(187\) | − | 5.17236e21i | − | 1.35268i | ||||||
\(188\) | −2.32305e21 | − | 1.93367e21i | −0.577510 | − | 0.480709i | ||||
\(189\) | −1.56138e21 | − | 3.57505e21i | −0.369080 | − | 0.845075i | ||||
\(190\) | −2.18996e19 | + | 6.05409e19i | −0.00492354 | + | 0.0136110i | ||||
\(191\) | 3.89391e21 | 0.832855 | 0.416427 | − | 0.909169i | \(-0.363282\pi\) | ||||
0.416427 | + | 0.909169i | \(0.363282\pi\) | |||||||
\(192\) | 3.06148e21 | + | 3.84273e21i | 0.623116 | + | 0.782129i | ||||
\(193\) | 2.82327e21 | 0.546962 | 0.273481 | − | 0.961877i | \(-0.411825\pi\) | ||||
0.273481 | + | 0.961877i | \(0.411825\pi\) | |||||||
\(194\) | 2.26916e20 | − | 6.27304e20i | 0.0418552 | − | 0.115708i | ||||
\(195\) | −3.38289e20 | − | 1.37611e20i | −0.0594237 | − | 0.0241726i | ||||
\(196\) | −6.87279e20 | − | 5.72079e20i | −0.115001 | − | 0.0957246i | ||||
\(197\) | 4.84210e21i | 0.771978i | 0.922503 | + | 0.385989i | \(0.126140\pi\) | ||||
−0.922503 | + | 0.385989i | \(0.873860\pi\) | |||||||
\(198\) | 4.58008e21 | − | 2.21823e21i | 0.695911 | − | 0.337045i | ||||
\(199\) | 9.87146e21i | 1.42981i | 0.699224 | + | 0.714903i | \(0.253529\pi\) | ||||
−0.699224 | + | 0.714903i | \(0.746471\pi\) | |||||||
\(200\) | −6.23244e21 | + | 3.64776e21i | −0.860742 | + | 0.503781i | ||||
\(201\) | −4.07936e21 | − | 1.65942e21i | −0.537315 | − | 0.218571i | ||||
\(202\) | 7.18166e21 | + | 2.59784e21i | 0.902375 | + | 0.326418i | ||||
\(203\) | −3.37450e20 | −0.0404573 | ||||||||
\(204\) | 7.19899e21 | + | 1.34877e22i | 0.823730 | + | 1.54330i | ||||
\(205\) | 5.91860e19 | 0.00646484 | ||||||||
\(206\) | −1.11796e22 | − | 4.04403e21i | −1.16597 | − | 0.421770i | ||||
\(207\) | −4.50339e19 | − | 4.39029e19i | −0.00448561 | − | 0.00437295i | ||||
\(208\) | 2.36859e21 | + | 1.28383e22i | 0.225366 | + | 1.22154i | ||||
\(209\) | − | 2.38373e21i | − | 0.216704i | ||||||
\(210\) | 4.07234e20 | + | 3.66964e20i | 0.0353802 | + | 0.0318816i | ||||
\(211\) | − | 5.33404e21i | − | 0.442968i | −0.975164 | − | 0.221484i | \(-0.928910\pi\) | ||
0.975164 | − | 0.221484i | \(-0.0710901\pi\) | |||||||
\(212\) | 1.18327e22 | − | 1.42155e22i | 0.939494 | − | 1.12868i | ||||
\(213\) | 5.82061e21 | − | 1.43089e22i | 0.441939 | − | 1.08642i | ||||
\(214\) | 8.80952e21 | − | 2.43537e22i | 0.639766 | − | 1.76862i | ||||
\(215\) | 6.48409e18 | 0.000450489 | ||||||||
\(216\) | −8.85584e21 | + | 1.21590e22i | −0.588734 | + | 0.808327i | ||||
\(217\) | 2.34547e22 | 1.49232 | ||||||||
\(218\) | 8.84542e21 | − | 2.44529e22i | 0.538743 | − | 1.48934i | ||||
\(219\) | −1.14859e22 | + | 2.82359e22i | −0.669801 | + | 1.64658i | ||||
\(220\) | −4.57483e20 | + | 5.49606e20i | −0.0255481 | + | 0.0306928i | ||||
\(221\) | 4.06241e22i | 2.17299i | ||||||||
\(222\) | 8.53087e21 | + | 7.68727e21i | 0.437160 | + | 0.393930i | ||||
\(223\) | − | 1.17380e22i | − | 0.576365i | −0.957575 | − | 0.288183i | \(-0.906949\pi\) | ||
0.957575 | − | 0.288183i | \(-0.0930511\pi\) | |||||||
\(224\) | 3.21180e21 | − | 1.93307e22i | 0.151145 | − | 0.909686i | ||||
\(225\) | −1.58311e22 | − | 1.54335e22i | −0.714132 | − | 0.696196i | ||||
\(226\) | −1.96247e22 | − | 7.09889e21i | −0.848736 | − | 0.307016i | ||||
\(227\) | −7.18026e21 | −0.297779 | −0.148890 | − | 0.988854i | \(-0.547570\pi\) | ||||
−0.148890 | + | 0.988854i | \(0.547570\pi\) | |||||||
\(228\) | 3.31772e21 | + | 6.21592e21i | 0.131965 | + | 0.247243i | ||||
\(229\) | 1.25548e21 | 0.0479043 | 0.0239521 | − | 0.999713i | \(-0.492375\pi\) | ||||
0.0239521 | + | 0.999713i | \(0.492375\pi\) | |||||||
\(230\) | 8.31057e18 | + | 3.00620e18i | 0.000304240 | + | 0.000110054i | ||||
\(231\) | −1.88009e22 | − | 7.64789e21i | −0.660487 | − | 0.268676i | ||||
\(232\) | 6.57249e20 | + | 1.12295e21i | 0.0221612 | + | 0.0378639i | ||||
\(233\) | 3.40275e22i | 1.10141i | 0.834700 | + | 0.550705i | \(0.185641\pi\) | ||||
−0.834700 | + | 0.550705i | \(0.814359\pi\) | |||||||
\(234\) | −3.59723e22 | + | 1.74222e22i | −1.11794 | + | 0.541441i | ||||
\(235\) | 1.30032e21i | 0.0388066i | ||||||||
\(236\) | 4.26593e22 | + | 3.55089e22i | 1.22278 | + | 1.01783i | ||||
\(237\) | −2.18343e22 | − | 8.88183e21i | −0.601215 | − | 0.244564i | ||||
\(238\) | 2.07421e22 | − | 5.73411e22i | 0.548747 | − | 1.51700i | ||||
\(239\) | −4.70387e22 | −1.19585 | −0.597923 | − | 0.801554i | \(-0.704007\pi\) | ||||
−0.597923 | + | 0.801554i | \(0.704007\pi\) | |||||||
\(240\) | 4.27999e20 | − | 2.06991e21i | 0.0104577 | − | 0.0505760i | ||||
\(241\) | −2.43119e22 | −0.571027 | −0.285513 | − | 0.958375i | \(-0.592164\pi\) | ||||
−0.285513 | + | 0.958375i | \(0.592164\pi\) | |||||||
\(242\) | −6.05724e21 | + | 1.67451e22i | −0.136782 | + | 0.378130i | ||||
\(243\) | −4.30863e22 | − | 1.62624e22i | −0.935577 | − | 0.353123i | ||||
\(244\) | 2.05265e22 | + | 1.70859e22i | 0.428658 | + | 0.356807i | ||||
\(245\) | 3.84702e20i | 0.00772764i | ||||||||
\(246\) | 4.33616e21 | − | 4.81200e21i | 0.0837956 | − | 0.0929913i | ||||
\(247\) | 1.87220e22i | 0.348122i | ||||||||
\(248\) | −4.56825e22 | − | 7.80515e22i | −0.817446 | − | 1.39666i | ||||
\(249\) | 2.67692e22 | − | 6.58069e22i | 0.461043 | − | 1.13339i | ||||
\(250\) | 5.85078e21 | + | 2.11642e21i | 0.0970026 | + | 0.0350890i | ||||
\(251\) | 1.02020e23 | 1.62849 | 0.814243 | − | 0.580524i | \(-0.197152\pi\) | ||||
0.814243 | + | 0.580524i | \(0.197152\pi\) | |||||||
\(252\) | 5.96705e22 | − | 6.22445e21i | 0.917180 | − | 0.0956745i | ||||
\(253\) | −3.27220e20 | −0.00484389 | ||||||||
\(254\) | −1.89278e22 | − | 6.84680e21i | −0.269886 | − | 0.0976264i | ||||
\(255\) | 2.47835e21 | − | 6.09255e21i | 0.0340432 | − | 0.0836888i | ||||
\(256\) | −7.05835e22 | + | 2.69622e22i | −0.934165 | + | 0.356841i | ||||
\(257\) | 4.39093e22i | 0.560005i | 0.959999 | + | 0.280002i | \(0.0903352\pi\) | ||||
−0.959999 | + | 0.280002i | \(0.909665\pi\) | |||||||
\(258\) | 4.75045e20 | − | 5.27176e20i | 0.00583912 | − | 0.00647991i | ||||
\(259\) | − | 4.58007e22i | − | 0.542656i | ||||||
\(260\) | 3.59310e21 | − | 4.31665e21i | 0.0410415 | − | 0.0493060i | ||||
\(261\) | −2.78079e21 | + | 2.85243e21i | −0.0306255 | + | 0.0314145i | ||||
\(262\) | −5.47964e22 | + | 1.51483e23i | −0.581955 | + | 1.60880i | ||||
\(263\) | 1.28065e23 | 1.31175 | 0.655877 | − | 0.754868i | \(-0.272299\pi\) | ||||
0.655877 | + | 0.754868i | \(0.272299\pi\) | |||||||
\(264\) | 1.11680e22 | + | 7.74606e22i | 0.110341 | + | 0.765321i | ||||
\(265\) | −7.95707e21 | −0.0758433 | ||||||||
\(266\) | 9.55920e21 | − | 2.64262e22i | 0.0879116 | − | 0.243029i | ||||
\(267\) | 9.38945e22 | + | 3.81948e22i | 0.833265 | + | 0.338959i | ||||
\(268\) | 4.33285e22 | − | 5.20535e22i | 0.371102 | − | 0.445831i | ||||
\(269\) | − | 1.26487e23i | − | 1.04568i | −0.852431 | − | 0.522841i | \(-0.824872\pi\) | ||
0.852431 | − | 0.522841i | \(-0.175128\pi\) | |||||||
\(270\) | 6.45776e21 | − | 4.18308e20i | 0.0515379 | − | 0.00333842i | ||||
\(271\) | 1.05900e23i | 0.815997i | 0.912983 | + | 0.407998i | \(0.133773\pi\) | ||||
−0.912983 | + | 0.407998i | \(0.866227\pi\) | |||||||
\(272\) | −2.31217e23 | + | 4.26580e22i | −1.72034 | + | 0.317392i | ||||
\(273\) | 1.47664e23 | + | 6.00672e22i | 1.06103 | + | 0.431610i | ||||
\(274\) | 1.28891e23 | + | 4.66241e22i | 0.894525 | + | 0.323579i | ||||
\(275\) | −1.15030e23 | −0.771172 | ||||||||
\(276\) | 8.53272e20 | − | 4.55431e20i | 0.00552651 | − | 0.00294975i | ||||
\(277\) | 8.95743e22 | 0.560564 | 0.280282 | − | 0.959918i | \(-0.409572\pi\) | ||||
0.280282 | + | 0.959918i | \(0.409572\pi\) | |||||||
\(278\) | −1.00637e23 | − | 3.64038e22i | −0.608602 | − | 0.220151i | ||||
\(279\) | 1.93281e23 | − | 1.98260e23i | 1.12966 | − | 1.15876i | ||||
\(280\) | −7.27570e21 | + | 4.25837e21i | −0.0411030 | + | 0.0240570i | ||||
\(281\) | 3.08712e22i | 0.168594i | 0.996441 | + | 0.0842972i | \(0.0268645\pi\) | ||||
−0.996441 | + | 0.0842972i | \(0.973135\pi\) | |||||||
\(282\) | 1.05720e23 | + | 9.52656e22i | 0.558201 | + | 0.503002i | ||||
\(283\) | − | 2.18878e22i | − | 0.111746i | −0.998438 | − | 0.0558728i | \(-0.982206\pi\) | ||
0.998438 | − | 0.0558728i | \(-0.0177941\pi\) | |||||||
\(284\) | 1.82584e23 | + | 1.51980e23i | 0.901445 | + | 0.750348i | ||||
\(285\) | 1.14217e21 | − | 2.80781e21i | 0.00545387 | − | 0.0134073i | ||||
\(286\) | −7.07372e22 | + | 1.95551e23i | −0.326716 | + | 0.903198i | ||||
\(287\) | −2.58348e22 | −0.115432 | ||||||||
\(288\) | −1.36933e23 | − | 1.86446e23i | −0.591944 | − | 0.805979i | ||||
\(289\) | −4.92563e23 | −2.06031 | ||||||||
\(290\) | 1.90412e20 | − | 5.26388e20i | 0.000770749 | − | 0.00213071i | ||||
\(291\) | −1.18348e22 | + | 2.90935e22i | −0.0463636 | + | 0.113976i | ||||
\(292\) | −3.60296e23 | − | 2.99905e23i | −1.36623 | − | 1.13722i | ||||
\(293\) | − | 2.67169e23i | − | 0.980717i | −0.871521 | − | 0.490358i | \(-0.836866\pi\) | ||
0.871521 | − | 0.490358i | \(-0.163134\pi\) | |||||||
\(294\) | 3.12774e22 | + | 2.81845e22i | 0.111156 | + | 0.100164i | ||||
\(295\) | − | 2.38784e22i | − | 0.0821668i | ||||||
\(296\) | −1.52414e23 | + | 8.92057e22i | −0.507870 | + | 0.297250i | ||||
\(297\) | −2.19578e23 | + | 9.58988e22i | −0.708601 | + | 0.309476i | ||||
\(298\) | 1.27213e23 | + | 4.60171e22i | 0.397628 | + | 0.143835i | ||||
\(299\) | 2.57001e21 | 0.00778141 | ||||||||
\(300\) | 2.99958e23 | − | 1.60101e23i | 0.879849 | − | 0.469616i | ||||
\(301\) | −2.83031e21 | −0.00804364 | ||||||||
\(302\) | 4.81308e23 | + | 1.74105e23i | 1.32543 | + | 0.479452i | ||||
\(303\) | −3.33076e23 | − | 1.35490e23i | −0.888870 | − | 0.361578i | ||||
\(304\) | −1.06558e23 | + | 1.96593e22i | −0.275606 | + | 0.0508475i | ||||
\(305\) | − | 1.14896e22i | − | 0.0288043i | ||||||
\(306\) | −3.13771e23 | − | 6.47856e23i | −0.762534 | − | 1.57444i | ||||
\(307\) | 6.29394e22i | 0.148289i | 0.997248 | + | 0.0741443i | \(0.0236226\pi\) | ||||
−0.997248 | + | 0.0741443i | \(0.976377\pi\) | |||||||
\(308\) | 1.99692e23 | − | 2.39904e23i | 0.456171 | − | 0.548031i | ||||
\(309\) | 5.18496e23 | + | 2.10916e23i | 1.14852 | + | 0.467200i | ||||
\(310\) | −1.32347e22 | + | 3.65870e22i | −0.0284301 | + | 0.0785941i | ||||
\(311\) | −4.02991e23 | −0.839599 | −0.419800 | − | 0.907617i | \(-0.637900\pi\) | ||||
−0.419800 | + | 0.907617i | \(0.637900\pi\) | |||||||
\(312\) | −8.77144e22 | − | 6.08381e23i | −0.177257 | − | 1.22944i | ||||
\(313\) | 3.51917e23 | 0.689873 | 0.344936 | − | 0.938626i | \(-0.387900\pi\) | ||||
0.344936 | + | 0.938626i | \(0.387900\pi\) | |||||||
\(314\) | −1.48001e23 | + | 4.09144e23i | −0.281470 | + | 0.778117i | ||||
\(315\) | −1.84811e22 | − | 1.80170e22i | −0.0341019 | − | 0.0332454i | ||||
\(316\) | 2.31910e23 | − | 2.78610e23i | 0.415234 | − | 0.498850i | ||||
\(317\) | 2.36002e23i | 0.410065i | 0.978755 | + | 0.205033i | \(0.0657300\pi\) | ||||
−0.978755 | + | 0.205033i | \(0.934270\pi\) | |||||||
\(318\) | −5.82960e23 | + | 6.46934e23i | −0.983062 | + | 1.09094i | ||||
\(319\) | 2.07260e22i | 0.0339237i | ||||||||
\(320\) | 2.83417e22 | + | 1.59178e22i | 0.0450298 | + | 0.0252905i | ||||
\(321\) | −4.59459e23 | + | 1.12949e24i | −0.708678 | + | 1.74215i | ||||
\(322\) | −3.62757e21 | − | 1.31221e21i | −0.00543232 | − | 0.00196505i | ||||
\(323\) | −3.37181e23 | −0.490274 | ||||||||
\(324\) | 4.39106e23 | − | 5.55682e23i | 0.620001 | − | 0.784601i | ||||
\(325\) | 9.03456e23 | 1.23884 | ||||||||
\(326\) | 9.79774e23 | + | 3.54416e23i | 1.30484 | + | 0.472005i | ||||
\(327\) | −4.61331e23 | + | 1.13409e24i | −0.596773 | + | 1.46705i | ||||
\(328\) | 5.03182e22 | + | 8.59719e22i | 0.0632301 | + | 0.108033i | ||||
\(329\) | − | 5.67591e23i | − | 0.692907i | ||||||
\(330\) | 2.25387e22 | − | 2.50121e22i | 0.0267329 | − | 0.0296666i | ||||
\(331\) | 6.46210e23i | 0.744745i | 0.928083 | + | 0.372373i | \(0.121456\pi\) | ||||
−0.928083 | + | 0.372373i | \(0.878544\pi\) | |||||||
\(332\) | 8.39711e23 | + | 6.98961e23i | 0.940412 | + | 0.782783i | ||||
\(333\) | −3.87149e23 | − | 3.77426e23i | −0.421364 | − | 0.410782i | ||||
\(334\) | 2.99039e23 | − | 8.26685e23i | 0.316327 | − | 0.874477i | ||||
\(335\) | −2.91368e22 | −0.0299582 | ||||||||
\(336\) | −1.86822e23 | + | 9.03518e23i | −0.186726 | + | 0.903054i | ||||
\(337\) | 2.67782e23 | 0.260194 | 0.130097 | − | 0.991501i | \(-0.458471\pi\) | ||||
0.130097 | + | 0.991501i | \(0.458471\pi\) | |||||||
\(338\) | 1.95500e23 | − | 5.40455e23i | 0.184688 | − | 0.510565i | ||||
\(339\) | 9.10168e23 | + | 3.70241e23i | 0.836035 | + | 0.340085i | ||||
\(340\) | 7.77423e22 | + | 6.47113e22i | 0.0694396 | + | 0.0578004i | ||||
\(341\) | − | 1.44057e24i | − | 1.25132i | ||||||
\(342\) | −1.44604e23 | − | 2.98571e23i | −0.122161 | − | 0.252231i | ||||
\(343\) | − | 1.29020e24i | − | 1.06014i | ||||||
\(344\) | 5.51258e21 | + | 9.41860e21i | 0.00440606 | + | 0.00752803i | ||||
\(345\) | −3.85433e20 | − | 1.56788e20i | −0.000299687 | − | 0.000121908i | ||||
\(346\) | 2.07725e24 | + | 7.51410e23i | 1.57133 | + | 0.568400i | ||||
\(347\) | −1.02664e24 | −0.755590 | −0.377795 | − | 0.925889i | \(-0.623318\pi\) | ||||
−0.377795 | + | 0.925889i | \(0.623318\pi\) | |||||||
\(348\) | −2.88468e22 | − | 5.40459e22i | −0.0206583 | − | 0.0387044i | ||||
\(349\) | −1.46442e24 | −1.02053 | −0.510264 | − | 0.860018i | \(-0.670452\pi\) | ||||
−0.510264 | + | 0.860018i | \(0.670452\pi\) | |||||||
\(350\) | −1.27523e24 | − | 4.61292e23i | −0.864853 | − | 0.312845i | ||||
\(351\) | 1.72458e24 | − | 7.53197e23i | 1.13832 | − | 0.497154i | ||||
\(352\) | −1.18728e24 | − | 1.97267e23i | −0.762777 | − | 0.126736i | ||||
\(353\) | − | 1.26315e24i | − | 0.789940i | −0.918694 | − | 0.394970i | \(-0.870755\pi\) | ||
0.918694 | − | 0.394970i | \(-0.129245\pi\) | |||||||
\(354\) | −1.94139e24 | − | 1.74941e24i | −1.18190 | − | 1.06503i | ||||
\(355\) | − | 1.02201e23i | − | 0.0605739i | ||||||
\(356\) | −9.97291e23 | + | 1.19812e24i | −0.575502 | + | 0.691391i | ||||
\(357\) | −1.08180e24 | + | 2.65940e24i | −0.607855 | + | 1.49429i | ||||
\(358\) | 5.99266e23 | − | 1.65665e24i | 0.327892 | − | 0.906449i | ||||
\(359\) | −1.07718e23 | −0.0573972 | −0.0286986 | − | 0.999588i | \(-0.509136\pi\) | ||||
−0.0286986 | + | 0.999588i | \(0.509136\pi\) | |||||||
\(360\) | −2.39606e22 | + | 9.65923e22i | −0.0124344 | + | 0.0501267i | ||||
\(361\) | 1.82303e24 | 0.921456 | ||||||||
\(362\) | −1.11139e24 | + | 3.07240e24i | −0.547184 | + | 1.51268i | ||||
\(363\) | 3.15914e23 | − | 7.76615e23i | 0.151515 | − | 0.372471i | ||||
\(364\) | −1.56839e24 | + | 1.88422e24i | −0.732811 | + | 0.880377i | ||||
\(365\) | 2.01675e23i | 0.0918056i | ||||||||
\(366\) | −9.34141e23 | − | 8.41766e23i | −0.414326 | − | 0.373354i | ||||
\(367\) | − | 2.04349e24i | − | 0.883169i | −0.897220 | − | 0.441585i | \(-0.854416\pi\) | ||
0.897220 | − | 0.441585i | \(-0.145584\pi\) | |||||||
\(368\) | 2.69868e21 | + | 1.46275e22i | 0.00113657 | + | 0.00616049i | ||||
\(369\) | −2.12894e23 | + | 2.18379e23i | −0.0873803 | + | 0.0896314i | ||||
\(370\) | 7.14446e22 | + | 2.58438e22i | 0.0285794 | + | 0.0103381i | ||||
\(371\) | 3.47327e24 | 1.35421 | ||||||||
\(372\) | 2.00501e24 | + | 3.75650e24i | 0.762008 | + | 1.42766i | ||||
\(373\) | −1.32926e24 | −0.492466 | −0.246233 | − | 0.969211i | \(-0.579193\pi\) | ||||
−0.246233 | + | 0.969211i | \(0.579193\pi\) | |||||||
\(374\) | −3.52185e24 | − | 1.27397e24i | −1.27201 | − | 0.460128i | ||||
\(375\) | −2.71351e23 | − | 1.10381e23i | −0.0955509 | − | 0.0388686i | ||||
\(376\) | −1.88881e24 | + | 1.10549e24i | −0.648490 | + | 0.379553i | ||||
\(377\) | − | 1.62783e23i | − | 0.0544963i | ||||||
\(378\) | −2.81882e24 | + | 1.82592e23i | −0.920228 | + | 0.0596087i | ||||
\(379\) | − | 3.00906e23i | − | 0.0957985i | −0.998852 | − | 0.0478992i | \(-0.984747\pi\) | ||
0.998852 | − | 0.0478992i | \(-0.0152526\pi\) | |||||||
\(380\) | 3.58283e22 | + | 2.98228e22i | 0.0111245 | + | 0.00925986i | ||||
\(381\) | 8.77846e23 | + | 3.57094e23i | 0.265847 | + | 0.108142i | ||||
\(382\) | 9.59083e23 | − | 2.65136e24i | 0.283305 | − | 0.783189i | ||||
\(383\) | 1.52499e24 | 0.439418 | 0.219709 | − | 0.975565i | \(-0.429489\pi\) | ||||
0.219709 | + | 0.975565i | \(0.429489\pi\) | |||||||
\(384\) | 3.37056e24 | − | 1.13808e24i | 0.947449 | − | 0.319908i | ||||
\(385\) | −1.34285e23 | −0.0368257 | ||||||||
\(386\) | 6.95379e23 | − | 1.92236e24i | 0.186055 | − | 0.514345i | ||||
\(387\) | −2.33235e22 | + | 2.39244e22i | −0.00608891 | + | 0.00624578i | ||||
\(388\) | −3.71240e23 | − | 3.09014e23i | −0.0945701 | − | 0.0787185i | ||||
\(389\) | − | 2.16535e22i | − | 0.00538278i | −0.999996 | − | 0.00269139i | \(-0.999143\pi\) | ||
0.999996 | − | 0.00269139i | \(-0.000856697\pi\) | |||||||
\(390\) | −1.77021e23 | + | 1.96447e23i | −0.0429447 | + | 0.0476575i | ||||
\(391\) | 4.62855e22i | 0.0109589i | ||||||||
\(392\) | −5.58807e23 | + | 3.27062e23i | −0.129135 | + | 0.0755810i | ||||
\(393\) | 2.85789e24 | − | 7.02558e24i | 0.644639 | − | 1.58472i | ||||
\(394\) | 3.29698e24 | + | 1.19263e24i | 0.725943 | + | 0.262597i | ||||
\(395\) | −1.55951e23 | −0.0335209 | ||||||||
\(396\) | −3.82302e23 | − | 3.66493e24i | −0.0802237 | − | 0.769061i | ||||
\(397\) | −2.70653e24 | −0.554501 | −0.277250 | − | 0.960798i | \(-0.589423\pi\) | ||||
−0.277250 | + | 0.960798i | \(0.589423\pi\) | |||||||
\(398\) | 6.72146e24 | + | 2.43137e24i | 1.34454 | + | 0.486365i | ||||
\(399\) | −4.98558e23 | + | 1.22561e24i | −0.0973809 | + | 0.239392i | ||||
\(400\) | 9.48688e23 | + | 5.14211e24i | 0.180948 | + | 0.980781i | ||||
\(401\) | − | 1.94970e24i | − | 0.363159i | −0.983376 | − | 0.181579i | \(-0.941879\pi\) | ||
0.983376 | − | 0.181579i | \(-0.0581209\pi\) | |||||||
\(402\) | −2.13465e24 | + | 2.36891e24i | −0.388311 | + | 0.430924i | ||||
\(403\) | 1.13144e25i | 2.01017i | ||||||||
\(404\) | 3.53773e24 | − | 4.25013e24i | 0.613906 | − | 0.737529i | ||||
\(405\) | −3.04592e23 | + | 7.74851e21i | −0.0516292 | + | 0.00131340i | ||||
\(406\) | −8.31149e22 | + | 2.29769e23i | −0.0137620 | + | 0.0380447i | ||||
\(407\) | −2.81305e24 | −0.455020 | ||||||||
\(408\) | 1.09569e25 | − | 1.57973e24i | 1.73147 | − | 0.249638i | ||||
\(409\) | −5.63041e22 | −0.00869297 | −0.00434649 | − | 0.999991i | \(-0.501384\pi\) | ||||
−0.00434649 | + | 0.999991i | \(0.501384\pi\) | |||||||
\(410\) | 1.45777e22 | − | 4.02997e22i | 0.00219909 | − | 0.00607932i | ||||
\(411\) | −5.97780e24 | − | 2.43167e24i | −0.881138 | − | 0.358433i | ||||
\(412\) | −5.50715e24 | + | 6.61612e24i | −0.793237 | + | 0.952972i | ||||
\(413\) | 1.04230e25i | 1.46712i | ||||||||
\(414\) | −4.09854e22 | + | 1.98501e22i | −0.00563801 | + | 0.00273061i | ||||
\(415\) | − | 4.70025e23i | − | 0.0631923i | ||||||
\(416\) | 9.32499e24 | + | 1.54935e24i | 1.22535 | + | 0.203593i | ||||
\(417\) | 4.66743e24 | + | 1.89863e24i | 0.599494 | + | 0.243865i | ||||
\(418\) | −1.62308e24 | − | 5.87120e23i | −0.203782 | − | 0.0737144i | ||||
\(419\) | −1.18666e24 | −0.145645 | −0.0728223 | − | 0.997345i | \(-0.523201\pi\) | ||||
−0.0728223 | + | 0.997345i | \(0.523201\pi\) | |||||||
\(420\) | 3.50168e23 | − | 1.86901e23i | 0.0420154 | − | 0.0224255i | ||||
\(421\) | 4.08430e24 | 0.479113 | 0.239556 | − | 0.970882i | \(-0.422998\pi\) | ||||
0.239556 | + | 0.970882i | \(0.422998\pi\) | |||||||
\(422\) | −3.63194e24 | − | 1.31379e24i | −0.416553 | − | 0.150681i | ||||
\(423\) | −4.79780e24 | − | 4.67730e24i | −0.538032 | − | 0.524519i | ||||
\(424\) | −6.76486e24 | − | 1.15582e25i | −0.741794 | − | 1.26740i | ||||
\(425\) | 1.62711e25i | 1.74471i | ||||||||
\(426\) | −8.30925e24 | − | 7.48757e24i | −0.871306 | − | 0.785144i | ||||
\(427\) | 5.01523e24i | 0.514311i | ||||||||
\(428\) | −1.44126e25 | − | 1.19968e25i | −1.44553 | − | 1.20323i | ||||
\(429\) | 3.68929e24 | − | 9.06941e24i | 0.361908 | − | 0.889682i | ||||
\(430\) | 1.59705e21 | − | 4.41501e21i | 0.000153239 | − | 0.000423625i | ||||
\(431\) | −1.42789e25 | −1.34018 | −0.670088 | − | 0.742281i | \(-0.733744\pi\) | ||||
−0.670088 | + | 0.742281i | \(0.733744\pi\) | |||||||
\(432\) | 6.09782e24 | + | 9.02472e24i | 0.559860 | + | 0.828587i | ||||
\(433\) | −1.04818e25 | −0.941456 | −0.470728 | − | 0.882278i | \(-0.656009\pi\) | ||||
−0.470728 | + | 0.882278i | \(0.656009\pi\) | |||||||
\(434\) | 5.77696e24 | − | 1.59702e25i | 0.507629 | − | 1.40333i | ||||
\(435\) | −9.93089e21 | + | 2.44132e22i | −0.000853769 | + | 0.00209883i | ||||
\(436\) | −1.44713e25 | − | 1.20457e25i | −1.21727 | − | 1.01323i | ||||
\(437\) | 2.13311e22i | 0.00175566i | ||||||||
\(438\) | 1.63968e25 | + | 1.47753e25i | 1.32055 | + | 1.18996i | ||||
\(439\) | − | 1.60045e25i | − | 1.26133i | −0.776055 | − | 0.630666i | \(-0.782782\pi\) | ||
0.776055 | − | 0.630666i | \(-0.217218\pi\) | |||||||
\(440\) | 2.61546e23 | + | 4.46869e23i | 0.0201720 | + | 0.0344651i | ||||
\(441\) | −1.41944e24 | − | 1.38379e24i | −0.107139 | − | 0.104449i | ||||
\(442\) | 2.76609e25 | + | 1.00059e25i | 2.04341 | + | 0.739167i | ||||
\(443\) | 1.62198e25 | 1.17277 | 0.586383 | − | 0.810034i | \(-0.300551\pi\) | ||||
0.586383 | + | 0.810034i | \(0.300551\pi\) | |||||||
\(444\) | 7.33543e24 | − | 3.91526e24i | 0.519144 | − | 0.277091i | ||||
\(445\) | 6.70641e23 | 0.0464590 | ||||||||
\(446\) | −7.99239e24 | − | 2.89111e24i | −0.541995 | − | 0.196057i | ||||
\(447\) | −5.89997e24 | − | 2.40001e24i | −0.391677 | − | 0.159328i | ||||
\(448\) | −1.23712e25 | − | 6.94812e24i | −0.804025 | − | 0.451571i | ||||
\(449\) | − | 1.16119e25i | − | 0.738864i | −0.929258 | − | 0.369432i | \(-0.879552\pi\) | ||
0.929258 | − | 0.369432i | \(-0.120448\pi\) | |||||||
\(450\) | −1.44079e25 | + | 6.97807e24i | −0.897600 | + | 0.434727i | ||||
\(451\) | 1.58676e24i | 0.0967905i | ||||||||
\(452\) | −9.66725e24 | + | 1.16139e25i | −0.577415 | + | 0.693689i | ||||
\(453\) | −2.23225e25 | − | 9.08041e24i | −1.30560 | − | 0.531095i | ||||
\(454\) | −1.76852e24 | + | 4.88903e24i | −0.101293 | + | 0.280022i | ||||
\(455\) | 1.05469e24 | 0.0591582 | ||||||||
\(456\) | 5.04958e24 | − | 7.28031e23i | 0.277389 | − | 0.0399930i | ||||
\(457\) | 4.45759e24 | 0.239826 | 0.119913 | − | 0.992784i | \(-0.461738\pi\) | ||||
0.119913 | + | 0.992784i | \(0.461738\pi\) | |||||||
\(458\) | 3.09230e23 | − | 8.54857e23i | 0.0162952 | − | 0.0450476i | ||||
\(459\) | 1.35650e25 | + | 3.10595e25i | 0.700162 | + | 1.60315i | ||||
\(460\) | 4.09384e21 | − | 4.91822e21i | 0.000206981 | − | 0.000248661i | ||||
\(461\) | 1.47546e25i | 0.730750i | 0.930860 | + | 0.365375i | \(0.119059\pi\) | ||||
−0.930860 | + | 0.365375i | \(0.880941\pi\) | |||||||
\(462\) | −9.83816e24 | + | 1.09178e25i | −0.477326 | + | 0.529708i | ||||
\(463\) | − | 9.05908e24i | − | 0.430591i | −0.976549 | − | 0.215295i | \(-0.930929\pi\) | ||
0.976549 | − | 0.215295i | \(-0.0690714\pi\) | |||||||
\(464\) | 9.26498e23 | − | 1.70933e23i | 0.0431443 | − | 0.00795986i | ||||
\(465\) | 6.90253e23 | − | 1.69685e24i | 0.0314924 | − | 0.0774180i | ||||
\(466\) | 2.31693e25 | + | 8.38108e24i | 1.03573 | + | 0.374657i | ||||
\(467\) | −2.69416e24 | −0.118008 | −0.0590042 | − | 0.998258i | \(-0.518793\pi\) | ||||
−0.0590042 | + | 0.998258i | \(0.518793\pi\) | |||||||
\(468\) | 3.00263e24 | + | 2.87846e25i | 0.128874 | + | 1.23545i | ||||
\(469\) | 1.27182e25 | 0.534915 | ||||||||
\(470\) | 8.85387e23 | + | 3.20273e23i | 0.0364925 | + | 0.0132005i | ||||
\(471\) | 7.71896e24 | − | 1.89756e25i | 0.311788 | − | 0.766472i | ||||
\(472\) | 3.46851e25 | − | 2.03007e25i | 1.37307 | − | 0.803642i | ||||
\(473\) | 1.73836e23i | 0.00674465i | ||||||||
\(474\) | −1.14255e25 | + | 1.26793e25i | −0.434490 | + | 0.482171i | ||||
\(475\) | 7.49870e24i | 0.279510i | ||||||||
\(476\) | −3.39346e25 | − | 2.82466e25i | −1.23987 | − | 1.03205i | ||||
\(477\) | 2.86218e25 | − | 2.93592e25i | 1.02512 | − | 1.05153i | ||||
\(478\) | −1.15858e25 | + | 3.20286e25i | −0.406780 | + | 1.12453i | ||||
\(479\) | 5.00164e25 | 1.72157 | 0.860785 | − | 0.508968i | \(-0.169973\pi\) | ||||
0.860785 | + | 0.508968i | \(0.169973\pi\) | |||||||
\(480\) | −1.30398e24 | − | 8.01249e23i | −0.0440027 | − | 0.0270381i | ||||
\(481\) | 2.20939e25 | 0.730962 | ||||||||
\(482\) | −5.98809e24 | + | 1.65539e25i | −0.194241 | + | 0.536975i | ||||
\(483\) | 1.68242e23 | + | 6.84381e22i | 0.00535102 | + | 0.00217671i | ||||
\(484\) | 9.90978e24 | + | 8.24873e24i | 0.309053 | + | 0.257251i | ||||
\(485\) | 2.07800e23i | 0.00635477i | ||||||||
\(486\) | −2.16854e25 | + | 2.53319e25i | −0.650312 | + | 0.759667i | ||||
\(487\) | − | 4.81418e24i | − | 0.141578i | −0.997491 | − | 0.0707892i | \(-0.977448\pi\) | ||
0.997491 | − | 0.0707892i | \(-0.0225518\pi\) | |||||||
\(488\) | 1.66895e25 | − | 9.76813e24i | 0.481343 | − | 0.281724i | ||||
\(489\) | −4.54406e25 | − | 1.84845e25i | −1.28532 | − | 0.522846i | ||||
\(490\) | 2.61943e23 | + | 9.47533e22i | 0.00726681 | + | 0.00262864i | ||||
\(491\) | 2.08283e25 | 0.566735 | 0.283368 | − | 0.959011i | \(-0.408548\pi\) | ||||
0.283368 | + | 0.959011i | \(0.408548\pi\) | |||||||
\(492\) | −2.20848e24 | − | 4.13769e24i | −0.0589419 | − | 0.110431i | ||||
\(493\) | 2.93171e24 | 0.0767493 | ||||||||
\(494\) | 1.27478e25 | + | 4.61129e24i | 0.327362 | + | 0.118418i | ||||
\(495\) | −1.10659e24 | + | 1.13510e24i | −0.0278765 | + | 0.0285946i | ||||
\(496\) | −6.43969e25 | + | 1.18808e25i | −1.59144 | + | 0.293610i | ||||
\(497\) | 4.46108e25i | 1.08157i | ||||||||
\(498\) | −3.82145e25 | − | 3.44355e25i | −0.908969 | − | 0.819083i | ||||
\(499\) | − | 1.09199e25i | − | 0.254838i | −0.991849 | − | 0.127419i | \(-0.959331\pi\) | ||
0.991849 | − | 0.127419i | \(-0.0406693\pi\) | |||||||
\(500\) | 2.88213e24 | − | 3.46250e24i | 0.0659931 | − | 0.0792821i | ||||
\(501\) | −1.55963e25 | + | 3.83405e25i | −0.350399 | + | 0.861390i | ||||
\(502\) | 2.51278e25 | − | 6.94651e25i | 0.553948 | − | 1.53138i | ||||
\(503\) | −1.66691e24 | −0.0360593 | −0.0180296 | − | 0.999837i | \(-0.505739\pi\) | ||||
−0.0180296 | + | 0.999837i | \(0.505739\pi\) | |||||||
\(504\) | 1.04588e25 | − | 4.21627e25i | 0.222020 | − | 0.895031i | ||||
\(505\) | −2.37899e24 | −0.0495593 | ||||||||
\(506\) | −8.05952e22 | + | 2.22803e23i | −0.00164770 | + | 0.00455504i | ||||
\(507\) | −1.01963e25 | + | 2.50656e25i | −0.204581 | + | 0.502924i | ||||
\(508\) | −9.32395e24 | + | 1.12015e25i | −0.183609 | + | 0.220583i | ||||
\(509\) | − | 7.55504e25i | − | 1.46022i | −0.683331 | − | 0.730109i | \(-0.739469\pi\) | ||
0.683331 | − | 0.730109i | \(-0.260531\pi\) | |||||||
\(510\) | −3.53798e24 | − | 3.18812e24i | −0.0671180 | − | 0.0604808i | ||||
\(511\) | − | 8.80312e25i | − | 1.63922i | ||||||
\(512\) | 9.73551e23 | + | 5.47011e25i | 0.0177948 | + | 0.999842i | ||||
\(513\) | 6.25155e24 | + | 1.43140e25i | 0.112169 | + | 0.256831i | ||||
\(514\) | 2.98978e25 | + | 1.08150e25i | 0.526610 | + | 0.190492i | ||||
\(515\) | 3.70335e24 | 0.0640363 | ||||||||
\(516\) | −2.41948e23 | − | 4.53303e23i | −0.00410725 | − | 0.00769513i | ||||
\(517\) | −3.48611e25 | −0.581007 | ||||||||
\(518\) | −3.11856e25 | − | 1.12809e25i | −0.510296 | − | 0.184591i | ||||
\(519\) | −9.63402e25 | − | 3.91896e25i | −1.54781 | − | 0.629624i | ||||
\(520\) | −2.05421e24 | − | 3.50974e24i | −0.0324050 | − | 0.0553660i | ||||
\(521\) | 6.38771e24i | 0.0989435i | 0.998776 | + | 0.0494717i | \(0.0157538\pi\) | ||||
−0.998776 | + | 0.0494717i | \(0.984246\pi\) | |||||||
\(522\) | 1.25730e24 | + | 2.59600e24i | 0.0191236 | + | 0.0394852i | ||||
\(523\) | 9.59352e25i | 1.43289i | 0.697645 | + | 0.716444i | \(0.254231\pi\) | ||||
−0.697645 | + | 0.716444i | \(0.745769\pi\) | |||||||
\(524\) | 8.96481e25 | + | 7.46215e25i | 1.31490 | + | 1.09450i | ||||
\(525\) | 5.91435e25 | + | 2.40586e25i | 0.851910 | + | 0.346543i | ||||
\(526\) | 3.15429e25 | − | 8.71996e25i | 0.446208 | − | 1.23353i | ||||
\(527\) | −2.03770e26 | −2.83100 | ||||||||
\(528\) | 5.54935e25 | + | 1.14745e25i | 0.757216 | + | 0.156571i | ||||
\(529\) | −7.46125e25 | −0.999961 | ||||||||
\(530\) | −1.95985e24 | + | 5.41796e24i | −0.0257990 | + | 0.0713205i | ||||
\(531\) | 8.81043e25 | + | 8.58915e25i | 1.13920 | + | 1.11059i | ||||
\(532\) | −1.56391e25 | − | 1.30177e25i | −0.198633 | − | 0.165338i | ||||
\(533\) | − | 1.24625e25i | − | 0.155488i | ||||||
\(534\) | 4.91333e25 | − | 5.45251e25i | 0.602190 | − | 0.668274i | ||||
\(535\) | 8.06739e24i | 0.0971341i | ||||||||
\(536\) | −2.47712e25 | − | 4.23233e25i | −0.293010 | − | 0.500626i | ||||
\(537\) | −3.12546e25 | + | 7.68335e25i | −0.363210 | + | 0.892883i | ||||
\(538\) | −8.61248e25 | − | 3.11542e25i | −0.983324 | − | 0.355700i | ||||
\(539\) | −1.03137e25 | −0.115697 | ||||||||
\(540\) | 1.30574e24 | − | 4.50011e24i | 0.0143919 | − | 0.0496001i | ||||
\(541\) | 5.95743e25 | 0.645186 | 0.322593 | − | 0.946538i | \(-0.395446\pi\) | ||||
0.322593 | + | 0.946538i | \(0.395446\pi\) | |||||||
\(542\) | 7.21073e25 | + | 2.60836e25i | 0.767337 | + | 0.277571i | ||||
\(543\) | 5.79641e25 | − | 1.42494e26i | 0.606123 | − | 1.49004i | ||||
\(544\) | −2.79036e25 | + | 1.67942e26i | −0.286728 | + | 1.72572i | ||||
\(545\) | 8.10026e24i | 0.0817961i | ||||||||
\(546\) | 7.72697e25 | − | 8.57492e25i | 0.766794 | − | 0.850942i | ||||
\(547\) | 1.84206e26i | 1.79648i | 0.439501 | + | 0.898242i | \(0.355155\pi\) | ||||
−0.439501 | + | 0.898242i | \(0.644845\pi\) | |||||||
\(548\) | 6.34926e25 | − | 7.62781e25i | 0.608566 | − | 0.731113i | ||||
\(549\) | 4.23933e25 | + | 4.13285e25i | 0.399356 | + | 0.389326i | ||||
\(550\) | −2.83323e25 | + | 7.83238e25i | −0.262323 | + | 0.725184i | ||||
\(551\) | 1.35110e24 | 0.0122956 | ||||||||
\(552\) | −9.99384e22 | − | 6.93166e23i | −0.000893945 | − | 0.00620034i | ||||
\(553\) | 6.80729e25 | 0.598529 | ||||||||
\(554\) | 2.20624e25 | − | 6.09910e25i | 0.190682 | − | 0.527136i | ||||
\(555\) | −3.31350e24 | − | 1.34788e24i | −0.0281517 | − | 0.0114516i | ||||
\(556\) | −4.95746e25 | + | 5.95574e25i | −0.414046 | + | 0.497423i | ||||
\(557\) | − | 1.29717e26i | − | 1.06506i | −0.846411 | − | 0.532530i | \(-0.821241\pi\) | ||
0.846411 | − | 0.532530i | \(-0.178759\pi\) | |||||||
\(558\) | −8.73893e25 | − | 1.80437e26i | −0.705397 | − | 1.45646i | ||||
\(559\) | − | 1.36532e24i | − | 0.0108349i | ||||||
\(560\) | 1.10749e24 | + | 6.00286e24i | 0.00864079 | + | 0.0468352i | ||||
\(561\) | 1.63339e26 | + | 6.64436e25i | 1.25298 | + | 0.509690i | ||||
\(562\) | 2.10201e25 | + | 7.60367e24i | 0.158541 | + | 0.0573493i | ||||
\(563\) | −7.05450e25 | −0.523162 | −0.261581 | − | 0.965182i | \(-0.584244\pi\) | ||||
−0.261581 | + | 0.965182i | \(0.584244\pi\) | |||||||
\(564\) | 9.09054e25 | − | 4.85204e25i | 0.662885 | − | 0.353812i | ||||
\(565\) | 6.50087e24 | 0.0466134 | ||||||||
\(566\) | −1.49033e25 | − | 5.39102e24i | −0.105082 | − | 0.0380115i | ||||
\(567\) | 1.32955e26 | − | 3.38223e24i | 0.921858 | − | 0.0234512i | ||||
\(568\) | 1.48454e26 | − | 8.68883e25i | 1.01224 | − | 0.592450i | ||||
\(569\) | − | 2.42100e26i | − | 1.62341i | −0.584067 | − | 0.811705i | \(-0.698540\pi\) | ||
0.584067 | − | 0.811705i | \(-0.301460\pi\) | |||||||
\(570\) | −1.63051e24 | − | 1.46927e24i | −0.0107526 | − | 0.00968928i | ||||
\(571\) | − | 3.14163e24i | − | 0.0203757i | −0.999948 | − | 0.0101878i | \(-0.996757\pi\) | ||
0.999948 | − | 0.0101878i | \(-0.00324295\pi\) | |||||||
\(572\) | 1.15728e26 | + | 9.63298e25i | 0.738202 | + | 0.614467i | ||||
\(573\) | −5.00208e25 | + | 1.22967e26i | −0.313821 | + | 0.771468i | ||||
\(574\) | −6.36319e24 | + | 1.75909e25i | −0.0392655 | + | 0.108549i | ||||
\(575\) | 1.02936e24 | 0.00624775 | ||||||||
\(576\) | −1.60678e26 | + | 4.73155e25i | −0.959273 | + | 0.282482i | ||||
\(577\) | −2.18079e26 | −1.28069 | −0.640346 | − | 0.768087i | \(-0.721209\pi\) | ||||
−0.640346 | + | 0.768087i | \(0.721209\pi\) | |||||||
\(578\) | −1.21320e26 | + | 3.35385e26i | −0.700837 | + | 1.93745i | ||||
\(579\) | −3.62674e25 | + | 8.91564e25i | −0.206096 | + | 0.506648i | ||||
\(580\) | −3.11518e23 | − | 2.59302e23i | −0.00174147 | − | 0.00144957i | ||||
\(581\) | 2.05167e26i | 1.12832i | ||||||||
\(582\) | 1.68948e25 | + | 1.52241e25i | 0.0914081 | + | 0.0823690i | ||||
\(583\) | − | 2.13326e26i | − | 1.13551i | ||||||
\(584\) | −2.92947e26 | + | 1.71458e26i | −1.53415 | + | 0.897915i | ||||
\(585\) | 8.69126e24 | − | 8.91516e24i | 0.0447818 | − | 0.0459355i | ||||
\(586\) | −1.81915e26 | − | 6.58046e25i | −0.922234 | − | 0.333602i | ||||
\(587\) | 2.91098e26 | 1.45204 | 0.726018 | − | 0.687676i | \(-0.241369\pi\) | ||||
0.726018 | + | 0.687676i | \(0.241369\pi\) | |||||||
\(588\) | 2.68945e25 | − | 1.43548e25i | 0.132002 | − | 0.0704553i | ||||
\(589\) | −9.39094e25 | −0.453538 | ||||||||
\(590\) | −1.62588e25 | − | 5.88133e24i | −0.0772670 | − | 0.0279500i | ||||
\(591\) | −1.52910e26 | − | 6.22012e25i | −0.715079 | − | 0.290882i | ||||
\(592\) | 2.32001e25 | + | 1.25750e26i | 0.106766 | + | 0.578697i | ||||
\(593\) | − | 1.47200e26i | − | 0.666636i | −0.942814 | − | 0.333318i | \(-0.891832\pi\) | ||
0.942814 | − | 0.333318i | \(-0.108168\pi\) | |||||||
\(594\) | 1.12147e25 | + | 1.73130e26i | 0.0499823 | + | 0.771617i | ||||
\(595\) | 1.89948e25i | 0.0833149i | ||||||||
\(596\) | 6.26659e25 | − | 7.52850e25i | 0.270515 | − | 0.324989i | ||||
\(597\) | −3.11733e26 | − | 1.26808e26i | −1.32442 | − | 0.538753i | ||||
\(598\) | 6.33001e23 | − | 1.74991e24i | 0.00264693 | − | 0.00731738i | ||||
\(599\) | 1.04065e26 | 0.428300 | 0.214150 | − | 0.976801i | \(-0.431302\pi\) | ||||
0.214150 | + | 0.976801i | \(0.431302\pi\) | |||||||
\(600\) | −3.51321e25 | − | 2.43674e26i | −0.142321 | − | 0.987126i | ||||
\(601\) | 2.08805e26 | 0.832594 | 0.416297 | − | 0.909229i | \(-0.363328\pi\) | ||||
0.416297 | + | 0.909229i | \(0.363328\pi\) | |||||||
\(602\) | −6.97115e23 | + | 1.92716e24i | −0.00273614 | + | 0.00756398i | ||||
\(603\) | 1.04806e26 | − | 1.07506e26i | 0.404922 | − | 0.415354i | ||||
\(604\) | 2.37096e26 | − | 2.84840e26i | 0.901722 | − | 1.08330i | ||||
\(605\) | − | 5.54697e24i | − | 0.0207673i | ||||||
\(606\) | −1.74293e26 | + | 1.93419e26i | −0.642375 | + | 0.712869i | ||||
\(607\) | − | 4.56910e26i | − | 1.65782i | −0.559381 | − | 0.828911i | \(-0.688961\pi\) | ||
0.559381 | − | 0.828911i | \(-0.311039\pi\) | |||||||
\(608\) | −1.28596e25 | + | 7.73975e25i | −0.0459351 | + | 0.276467i | ||||
\(609\) | 4.33484e24 | − | 1.06564e25i | 0.0152444 | − | 0.0374753i | ||||
\(610\) | −7.82326e24 | − | 2.82993e24i | −0.0270866 | − | 0.00979811i | ||||
\(611\) | 2.73802e26 | 0.933351 | ||||||||
\(612\) | −5.18407e26 | + | 5.40770e25i | −1.73993 | + | 0.181499i | ||||
\(613\) | −1.56175e26 | −0.516104 | −0.258052 | − | 0.966131i | \(-0.583081\pi\) | ||||
−0.258052 | + | 0.966131i | \(0.583081\pi\) | |||||||
\(614\) | 4.28553e25 | + | 1.55022e25i | 0.139446 | + | 0.0504421i | ||||
\(615\) | −7.60298e23 | + | 1.86905e24i | −0.00243596 | + | 0.00598834i | ||||
\(616\) | −1.14165e26 | − | 1.95059e26i | −0.360178 | − | 0.615387i | ||||
\(617\) | − | 3.15182e26i | − | 0.979156i | −0.871960 | − | 0.489578i | \(-0.837151\pi\) | ||
0.871960 | − | 0.489578i | \(-0.162849\pi\) | |||||||
\(618\) | 2.71319e26 | − | 3.01094e26i | 0.830023 | − | 0.921109i | ||||
\(619\) | 5.17028e26i | 1.55759i | 0.627279 | + | 0.778795i | \(0.284169\pi\) | ||||
−0.627279 | + | 0.778795i | \(0.715831\pi\) | |||||||
\(620\) | 2.16523e25 | + | 1.80230e25i | 0.0642365 | + | 0.0534694i | ||||
\(621\) | 1.96492e24 | − | 8.58163e23i | 0.00574082 | − | 0.00250726i | ||||
\(622\) | −9.92581e25 | + | 2.74396e26i | −0.285599 | + | 0.789532i | ||||
\(623\) | −2.92735e26 | −0.829543 | ||||||||
\(624\) | −4.35850e26 | − | 9.01216e25i | −1.21642 | − | 0.251522i | ||||
\(625\) | 3.60889e26 | 0.992005 | ||||||||
\(626\) | 8.66783e25 | − | 2.39620e26i | 0.234668 | − | 0.648734i | ||||
\(627\) | 7.52763e25 | + | 3.06212e25i | 0.200732 | + | 0.0816545i | ||||
\(628\) | 2.42133e26 | + | 2.01547e26i | 0.635970 | + | 0.529371i | ||||
\(629\) | 3.97909e26i | 1.02944i | ||||||||
\(630\) | −1.68197e25 | + | 8.14614e24i | −0.0428630 | + | 0.0207595i | ||||
\(631\) | − | 5.35304e26i | − | 1.34376i | −0.740660 | − | 0.671880i | \(-0.765487\pi\) | ||
0.740660 | − | 0.671880i | \(-0.234513\pi\) | |||||||
\(632\) | −1.32585e26 | − | 2.26530e26i | −0.327855 | − | 0.560162i | ||||
\(633\) | 1.68445e26 | + | 6.85205e25i | 0.410319 | + | 0.166911i | ||||
\(634\) | 1.60693e26 | + | 5.81280e25i | 0.385612 | + | 0.139488i | ||||
\(635\) | 6.27001e24 | 0.0148224 | ||||||||
\(636\) | 2.96911e26 | + | 5.56278e26i | 0.691487 | + | 1.29554i | ||||
\(637\) | 8.10047e25 | 0.185860 | ||||||||
\(638\) | 1.41123e25 | + | 5.10487e24i | 0.0319007 | + | 0.0115395i | ||||
\(639\) | 3.77091e26 | + | 3.67620e26i | 0.839824 | + | 0.818731i | ||||
\(640\) | 1.78190e25 | − | 1.53772e25i | 0.0390998 | − | 0.0337417i | ||||
\(641\) | 7.05666e26i | 1.52563i | 0.646620 | + | 0.762813i | \(0.276182\pi\) | ||||
−0.646620 | + | 0.762813i | \(0.723818\pi\) | |||||||
\(642\) | 6.55903e26 | + | 5.91042e26i | 1.39719 | + | 1.25903i | ||||
\(643\) | 6.31189e26i | 1.32482i | 0.749144 | + | 0.662408i | \(0.230465\pi\) | ||||
−0.749144 | + | 0.662408i | \(0.769535\pi\) | |||||||
\(644\) | −1.78697e24 | + | 2.14681e24i | −0.00369573 | + | 0.00443994i | ||||
\(645\) | −8.32940e22 | + | 2.04762e23i | −0.000169745 | + | 0.000417285i | ||||
\(646\) | −8.30487e25 | + | 2.29586e26i | −0.166772 | + | 0.461038i | ||||
\(647\) | −5.30086e26 | −1.04895 | −0.524476 | − | 0.851425i | \(-0.675739\pi\) | ||||
−0.524476 | + | 0.851425i | \(0.675739\pi\) | |||||||
\(648\) | −2.70210e26 | − | 4.35853e26i | −0.526913 | − | 0.849919i | ||||
\(649\) | 6.40172e26 | 1.23019 | ||||||||
\(650\) | 2.22524e26 | − | 6.15162e26i | 0.421405 | − | 1.16496i | ||||
\(651\) | −3.01296e26 | + | 7.40679e26i | −0.562308 | + | 1.38233i | ||||
\(652\) | 4.82643e26 | − | 5.79833e26i | 0.887715 | − | 1.06647i | ||||
\(653\) | − | 3.23879e26i | − | 0.587093i | −0.955945 | − | 0.293547i | \(-0.905164\pi\) | ||
0.955945 | − | 0.293547i | \(-0.0948356\pi\) | |||||||
\(654\) | 6.58576e26 | + | 5.93451e26i | 1.17657 | + | 1.06022i | ||||
\(655\) | − | 5.01802e25i | − | 0.0883568i | ||||||
\(656\) | 7.09317e25 | − | 1.30864e25i | 0.123099 | − | 0.0227109i | ||||
\(657\) | −7.44120e26 | − | 7.25431e26i | −1.27283 | − | 1.24087i | ||||
\(658\) | −3.86472e26 | − | 1.39800e26i | −0.651587 | − | 0.235700i | ||||
\(659\) | −4.40061e26 | −0.731310 | −0.365655 | − | 0.930750i | \(-0.619155\pi\) | ||||
−0.365655 | + | 0.930750i | \(0.619155\pi\) | |||||||
\(660\) | −1.14793e25 | − | 2.15071e25i | −0.0188040 | − | 0.0352302i | ||||
\(661\) | 8.58416e25 | 0.138607 | 0.0693033 | − | 0.997596i | \(-0.477922\pi\) | ||||
0.0693033 | + | 0.997596i | \(0.477922\pi\) | |||||||
\(662\) | 4.40003e26 | + | 1.59164e26i | 0.700334 | + | 0.253334i | ||||
\(663\) | −1.28288e27 | − | 5.21853e26i | −2.01283 | − | 0.818785i | ||||
\(664\) | 6.82745e26 | − | 3.99602e26i | 1.05599 | − | 0.618060i | ||||
\(665\) | 8.75392e24i | 0.0133474i | ||||||||
\(666\) | −3.52345e26 | + | 1.70648e26i | −0.529618 | + | 0.256505i | ||||
\(667\) | − | 1.85469e23i | − | 0.000274837i | ||||||
\(668\) | −4.89234e26 | − | 4.07230e26i | −0.714727 | − | 0.594927i | ||||
\(669\) | 3.70676e26 | + | 1.50785e26i | 0.533884 | + | 0.217175i | ||||
\(670\) | −7.17648e24 | + | 1.98392e25i | −0.0101906 | + | 0.0281717i | ||||
\(671\) | 3.08032e26 | 0.431253 | ||||||||
\(672\) | 5.69189e26 | + | 3.49746e26i | 0.785685 | + | 0.482775i | ||||
\(673\) | −1.23415e27 | −1.67968 | −0.839839 | − | 0.542836i | \(-0.817350\pi\) | ||||
−0.839839 | + | 0.542836i | \(0.817350\pi\) | |||||||
\(674\) | 6.59554e25 | − | 1.82332e26i | 0.0885078 | − | 0.244677i | ||||
\(675\) | 6.90743e26 | − | 3.01677e26i | 0.913968 | − | 0.399168i | ||||
\(676\) | −3.19843e26 | − | 2.66232e26i | −0.417295 | − | 0.347349i | ||||
\(677\) | 1.43762e24i | 0.00184949i | 1.00000 | 0.000924747i | \(0.000294356\pi\) | |||||
−1.00000 | 0.000924747i | \(0.999706\pi\) | ||||||||
\(678\) | 4.76274e26 | − | 5.28540e26i | 0.604192 | − | 0.670496i | ||||
\(679\) | − | 9.07051e25i | − | 0.113467i | ||||||
\(680\) | 6.32100e25 | − | 3.69960e25i | 0.0779743 | − | 0.0456373i | ||||
\(681\) | 9.22369e25 | − | 2.26747e26i | 0.112204 | − | 0.275831i | ||||
\(682\) | −9.80883e26 | − | 3.54817e26i | −1.17670 | − | 0.425651i | ||||
\(683\) | 2.64872e23 | 0.000313357 | 0.000156678 | − | 1.00000i | \(-0.499950\pi\) | ||||
0.000156678 | 1.00000i | \(0.499950\pi\) | ||||||||
\(684\) | −2.38913e26 | + | 2.49219e25i | −0.278745 | + | 0.0290769i | ||||
\(685\) | −4.26964e25 | −0.0491282 | ||||||||
\(686\) | −8.78493e26 | − | 3.17780e26i | −0.996917 | − | 0.360617i | ||||
\(687\) | −1.61278e25 | + | 3.96472e25i | −0.0180504 | + | 0.0443734i | ||||
\(688\) | 7.77088e24 | − | 1.43368e24i | 0.00857788 | − | 0.00158256i | ||||
\(689\) | 1.67548e27i | 1.82413i | ||||||||
\(690\) | −2.01690e23 | + | 2.23824e23i | −0.000216580 | + | 0.000240347i | ||||
\(691\) | − | 2.09947e26i | − | 0.222366i | −0.993800 | − | 0.111183i | \(-0.964536\pi\) | ||
0.993800 | − | 0.111183i | \(-0.0354640\pi\) | |||||||
\(692\) | 1.02327e27 | − | 1.22932e27i | 1.06901 | − | 1.28428i | ||||
\(693\) | 4.83028e26 | − | 4.95472e26i | 0.497745 | − | 0.510568i | ||||
\(694\) | −2.52864e26 | + | 6.99034e26i | −0.257023 | + | 0.710532i | ||||
\(695\) | 3.33371e25 | 0.0334250 | ||||||||
\(696\) | −4.39048e25 | + | 6.33005e24i | −0.0434235 | + | 0.00626065i | ||||
\(697\) | 2.24448e26 | 0.218980 | ||||||||
\(698\) | −3.60692e26 | + | 9.97122e26i | −0.347144 | + | 0.959670i | ||||
\(699\) | −1.07456e27 | − | 4.37114e26i | −1.02023 | − | 0.415013i | ||||
\(700\) | −6.28186e26 | + | 7.54684e26i | −0.588379 | + | 0.706861i | ||||
\(701\) | 8.01939e26i | 0.741004i | 0.928832 | + | 0.370502i | \(0.120814\pi\) | ||||
−0.928832 | + | 0.370502i | \(0.879186\pi\) | |||||||
\(702\) | −8.80811e25 | − | 1.35978e27i | −0.0802934 | − | 1.23955i | ||||
\(703\) | 1.83380e26i | 0.164921i | ||||||||
\(704\) | −4.26750e26 | + | 7.59829e26i | −0.378645 | + | 0.674180i | ||||
\(705\) | −4.10631e25 | − | 1.67038e25i | −0.0359463 | − | 0.0146224i | ||||
\(706\) | −8.60075e26 | − | 3.11117e26i | −0.742833 | − | 0.268707i | ||||
\(707\) | 1.03843e27 | 0.884900 | ||||||||
\(708\) | −1.66934e27 | + | 8.91003e26i | −1.40355 | + | 0.749141i | ||||
\(709\) | 2.30006e25 | 0.0190809 | 0.00954047 | − | 0.999954i | \(-0.496963\pi\) | ||||
0.00954047 | + | 0.999954i | \(0.496963\pi\) | |||||||
\(710\) | −6.95885e25 | − | 2.51724e25i | −0.0569617 | − | 0.0206049i | ||||
\(711\) | 5.60962e26 | − | 5.75413e26i | 0.453077 | − | 0.464749i | ||||
\(712\) | 5.70159e26 | + | 9.74153e26i | 0.454398 | + | 0.776367i | ||||
\(713\) | 1.28911e25i | 0.0101377i | ||||||||
\(714\) | 1.54433e27 | + | 1.39162e27i | 1.19842 | + | 1.07991i | ||||
\(715\) | − | 6.47782e25i | − | 0.0496045i | ||||||
\(716\) | −9.80412e26 | − | 8.16078e26i | −0.740858 | − | 0.616678i | ||||
\(717\) | 6.04254e26 | − | 1.48544e27i | 0.450596 | − | 1.10770i | ||||
\(718\) | −2.65313e25 | + | 7.33450e25i | −0.0195243 | + | 0.0539745i | ||||
\(719\) | 1.54969e27 | 1.12544 | 0.562718 | − | 0.826649i | \(-0.309756\pi\) | ||||
0.562718 | + | 0.826649i | \(0.309756\pi\) | |||||||
\(720\) | 5.98680e25 | + | 4.01057e25i | 0.0429078 | + | 0.0287440i | ||||
\(721\) | −1.61652e27 | −1.14339 | ||||||||
\(722\) | 4.49017e26 | − | 1.24130e27i | 0.313444 | − | 0.866507i | ||||
\(723\) | 3.12308e26 | − | 7.67749e26i | 0.215164 | − | 0.528939i | ||||
\(724\) | 1.81825e27 | + | 1.51348e27i | 1.23634 | + | 1.02911i | ||||
\(725\) | − | 6.51993e25i | − | 0.0437555i | ||||||
\(726\) | −4.50985e26 | − | 4.06388e26i | −0.298720 | − | 0.269180i | ||||
\(727\) | 7.09055e26i | 0.463557i | 0.972769 | + | 0.231778i | \(0.0744544\pi\) | ||||
−0.972769 | + | 0.231778i | \(0.925546\pi\) | |||||||
\(728\) | 8.96663e26 | + | 1.53201e27i | 0.578604 | + | 0.988582i | ||||
\(729\) | 1.06704e27 | − | 1.15172e27i | 0.679622 | − | 0.733562i | ||||
\(730\) | 1.37320e26 | + | 4.96731e25i | 0.0863310 | + | 0.0312287i | ||||
\(731\) | 2.45893e25 | 0.0152592 | ||||||||
\(732\) | −8.03239e26 | + | 4.28726e26i | −0.492028 | + | 0.262618i | ||||
\(733\) | 9.83813e26 | 0.594874 | 0.297437 | − | 0.954741i | \(-0.403868\pi\) | ||||
0.297437 | + | 0.954741i | \(0.403868\pi\) | |||||||
\(734\) | −1.39141e27 | − | 5.03317e26i | −0.830503 | − | 0.300420i | ||||
\(735\) | −1.21486e25 | − | 4.94184e24i | −0.00715806 | − | 0.00291178i | ||||
\(736\) | 1.06245e25 | + | 1.76527e24i | 0.00617974 | + | 0.00102677i | ||||
\(737\) | − | 7.81147e26i | − | 0.448530i | ||||||
\(738\) | 9.62573e25 | + | 1.98747e26i | 0.0545630 | + | 0.112659i | ||||
\(739\) | 2.53086e27i | 1.41627i | 0.706076 | + | 0.708136i | \(0.250464\pi\) | ||||
−0.706076 | + | 0.708136i | \(0.749536\pi\) | |||||||
\(740\) | 3.51940e25 | − | 4.22811e25i | 0.0194432 | − | 0.0233585i | ||||
\(741\) | −5.91226e26 | − | 2.40501e26i | −0.322463 | − | 0.131173i | ||||
\(742\) | 8.55477e26 | − | 2.36494e27i | 0.460650 | − | 1.27346i | ||||
\(743\) | 2.31813e27 | 1.23238 | 0.616189 | − | 0.787599i | \(-0.288676\pi\) | ||||
0.616189 | + | 0.787599i | \(0.288676\pi\) | |||||||
\(744\) | 3.05163e27 | − | 4.39975e26i | 1.60173 | − | 0.230932i | ||||
\(745\) | −4.21405e25 | −0.0218381 | ||||||||
\(746\) | −3.27401e26 | + | 9.05092e26i | −0.167518 | + | 0.463099i | ||||
\(747\) | 1.73425e27 | + | 1.69070e27i | 0.876127 | + | 0.854122i | ||||
\(748\) | −1.73489e27 | + | 2.08424e27i | −0.865378 | + | 1.03964i | ||||
\(749\) | − | 3.52142e27i | − | 1.73437i | ||||||
\(750\) | −1.41993e26 | + | 1.57575e26i | −0.0690535 | + | 0.0766314i | ||||
\(751\) | − | 2.61972e27i | − | 1.25798i | −0.777412 | − | 0.628992i | \(-0.783468\pi\) | ||
0.777412 | − | 0.628992i | \(-0.216532\pi\) | |||||||
\(752\) | 2.87510e26 | + | 1.55837e27i | 0.136328 | + | 0.738928i | ||||
\(753\) | −1.31054e27 | + | 3.22170e27i | −0.613616 | + | 1.50846i | ||||
\(754\) | −1.10839e26 | − | 4.00940e25i | −0.0512465 | − | 0.0185375i | ||||
\(755\) | −1.59438e26 | −0.0727940 | ||||||||
\(756\) | −5.69958e26 | + | 1.96430e27i | −0.256972 | + | 0.885629i | ||||
\(757\) | −2.21599e27 | −0.986634 | −0.493317 | − | 0.869850i | \(-0.664216\pi\) | ||||
−0.493317 | + | 0.869850i | \(0.664216\pi\) | |||||||
\(758\) | −2.04887e26 | − | 7.41141e25i | −0.0900857 | − | 0.0325869i | ||||
\(759\) | 4.20343e24 | − | 1.03333e25i | 0.00182518 | − | 0.00448687i | ||||
\(760\) | 2.91309e25 | − | 1.70499e25i | 0.0124918 | − | 0.00731129i | ||||
\(761\) | − | 4.16008e26i | − | 0.176176i | −0.996113 | − | 0.0880882i | \(-0.971924\pi\) | ||
0.996113 | − | 0.0880882i | \(-0.0280757\pi\) | |||||||
\(762\) | 4.59361e26 | − | 5.09771e26i | 0.192124 | − | 0.213208i | ||||
\(763\) | − | 3.53577e27i | − | 1.46050i | ||||||
\(764\) | −1.56908e27 | − | 1.30608e27i | −0.640116 | − | 0.532821i | ||||
\(765\) | 1.60561e26 | + | 1.56528e26i | 0.0646929 | + | 0.0630681i | ||||
\(766\) | 3.75609e26 | − | 1.03836e27i | 0.149473 | − | 0.413214i | ||||
\(767\) | −5.02796e27 | −1.97622 | ||||||||
\(768\) | 5.52656e25 | − | 2.57532e27i | 0.0214547 | − | 0.999770i | ||||
\(769\) | 2.94867e27 | 1.13064 | 0.565322 | − | 0.824870i | \(-0.308752\pi\) | ||||
0.565322 | + | 0.824870i | \(0.308752\pi\) | |||||||
\(770\) | −3.30749e25 | + | 9.14346e25i | −0.0125267 | + | 0.0346297i | ||||
\(771\) | −1.38662e27 | − | 5.64054e26i | −0.518729 | − | 0.211010i | ||||
\(772\) | −1.13766e27 | − | 9.46965e26i | −0.420384 | − | 0.349921i | ||||
\(773\) | 4.06136e27i | 1.48240i | 0.671282 | + | 0.741202i | \(0.265744\pi\) | ||||
−0.671282 | + | 0.741202i | \(0.734256\pi\) | |||||||
\(774\) | 1.05454e25 | + | 2.17736e25i | 0.00380211 | + | 0.00785038i | ||||
\(775\) | 4.53172e27i | 1.61398i | ||||||||
\(776\) | −3.01845e26 | + | 1.76666e26i | −0.106193 | + | 0.0621536i | ||||
\(777\) | 1.44635e27 | + | 5.88351e26i | 0.502659 | + | 0.204473i | ||||
\(778\) | −1.47438e25 | − | 5.33332e24i | −0.00506179 | − | 0.00183101i | ||||
\(779\) | 1.03439e26 | 0.0350815 | ||||||||
\(780\) | 9.01595e25 | + | 1.68918e26i | 0.0302074 | + | 0.0565950i | ||||
\(781\) | 2.73997e27 | 0.906904 | ||||||||
\(782\) | 3.15157e25 | + | 1.14003e25i | 0.0103054 | + | 0.00372779i | ||||
\(783\) | −5.43557e25 | − | 1.24457e26i | −0.0175593 | − | 0.0402053i | ||||
\(784\) | 8.50603e25 | + | 4.61047e26i | 0.0271472 | + | 0.147144i | ||||
\(785\) | − | 1.35533e26i | − | 0.0427350i | ||||||
\(786\) | −4.07980e27 | − | 3.67636e27i | −1.27094 | − | 1.14526i | ||||
\(787\) | − | 5.03807e27i | − | 1.55062i | −0.631583 | − | 0.775308i | \(-0.717594\pi\) | ||
0.631583 | − | 0.775308i | \(-0.282406\pi\) | |||||||
\(788\) | 1.62411e27 | − | 1.95116e27i | 0.493875 | − | 0.593327i | ||||
\(789\) | −1.64512e27 | + | 4.04420e27i | −0.494271 | + | 1.21507i | ||||
\(790\) | −3.84113e25 | + | 1.06187e26i | −0.0114025 | + | 0.0315220i | ||||
\(791\) | −2.83764e27 | −0.832300 | ||||||||
\(792\) | −2.58960e27 | − | 6.42374e26i | −0.750489 | − | 0.186165i | ||||
\(793\) | −2.41931e27 | −0.692782 | ||||||||
\(794\) | −6.66626e26 | + | 1.84287e27i | −0.188620 | + | 0.521434i | ||||
\(795\) | 1.02216e26 | − | 2.51278e26i | 0.0285779 | − | 0.0702532i | ||||
\(796\) | 3.31103e27 | − | 3.97778e27i | 0.914723 | − | 1.09892i | ||||
\(797\) | − | 8.47958e26i | − | 0.231484i | −0.993279 | − | 0.115742i | \(-0.963075\pi\) | ||
0.993279 | − | 0.115742i | \(-0.0369245\pi\) | |||||||
\(798\) | 7.11720e26 | + | 6.41340e26i | 0.191991 | + | 0.173006i | ||||
\(799\) | 4.93114e27i | 1.31448i | ||||||||
\(800\) | 3.73492e27 | + | 6.20559e26i | 0.983845 | + | 0.163466i | ||||
\(801\) | −2.41232e27 | + | 2.47447e27i | −0.627951 | + | 0.644128i | ||||
\(802\) | −1.32755e27 | − | 4.80217e26i | −0.341502 | − | 0.123533i | ||||
\(803\) | −5.40682e27 | −1.37450 | ||||||||
\(804\) | 1.08722e27 | + | 2.03695e27i | 0.273139 | + | 0.511739i | ||||
\(805\) | 1.20167e24 | 0.000298348 | ||||||||
\(806\) | 7.70393e27 | + | 2.78676e27i | 1.89029 | + | 0.683781i | ||||
\(807\) | 3.99436e27 | + | 1.62484e27i | 0.968608 | + | 0.394014i | ||||
\(808\) | −2.02255e27 | − | 3.45566e27i | −0.484720 | − | 0.828176i | ||||
\(809\) | − | 5.75685e27i | − | 1.36356i | −0.731558 | − | 0.681780i | \(-0.761206\pi\) | ||
0.731558 | − | 0.681780i | \(-0.238794\pi\) | |||||||
\(810\) | −6.97459e25 | + | 2.09304e26i | −0.0163272 | + | 0.0489971i | ||||
\(811\) | − | 1.99953e27i | − | 0.462625i | −0.972879 | − | 0.231313i | \(-0.925698\pi\) | ||
0.972879 | − | 0.231313i | \(-0.0743020\pi\) | |||||||
\(812\) | 1.35978e26 | + | 1.13186e26i | 0.0310947 | + | 0.0258827i | ||||
\(813\) | −3.34424e27 | − | 1.36038e27i | −0.755853 | − | 0.307469i | ||||
\(814\) | −6.92863e26 | + | 1.91540e27i | −0.154780 | + | 0.427886i | ||||
\(815\) | −3.24559e26 | −0.0716633 | ||||||||
\(816\) | 1.62308e27 | − | 7.84961e27i | 0.354228 | − | 1.71313i | ||||
\(817\) | 1.13322e25 | 0.00244458 | ||||||||
\(818\) | −1.38679e25 | + | 3.83373e25i | −0.00295701 | + | 0.00817458i | ||||
\(819\) | −3.79374e27 | + | 3.89148e27i | −0.799596 | + | 0.820196i | ||||
\(820\) | −2.38495e25 | − | 1.98519e25i | −0.00496875 | − | 0.00413590i | ||||
\(821\) | − | 4.44407e27i | − | 0.915211i | −0.889155 | − | 0.457605i | \(-0.848707\pi\) | ||
0.889155 | − | 0.457605i | \(-0.151293\pi\) | |||||||
\(822\) | −3.12807e27 | + | 3.47135e27i | −0.636788 | + | 0.706669i | ||||
\(823\) | − | 5.43453e26i | − | 0.109361i | −0.998504 | − | 0.0546806i | \(-0.982586\pi\) | ||
0.998504 | − | 0.0546806i | \(-0.0174141\pi\) | |||||||
\(824\) | 3.14848e27 | + | 5.37938e27i | 0.626315 | + | 1.07010i | ||||
\(825\) | 1.47767e27 | − | 3.63256e27i | 0.290579 | − | 0.714332i | ||||
\(826\) | 7.09697e27 | + | 2.56721e27i | 1.37963 | + | 0.499057i | ||||
\(827\) | 1.26035e26 | 0.0242207 | 0.0121104 | − | 0.999927i | \(-0.496145\pi\) | ||||
0.0121104 | + | 0.999927i | \(0.496145\pi\) | |||||||
\(828\) | 3.42108e24 | + | 3.27960e25i | 0.000649942 | + | 0.00623065i | ||||
\(829\) | 5.78852e27 | 1.08717 | 0.543587 | − | 0.839353i | \(-0.317066\pi\) | ||||
0.543587 | + | 0.839353i | \(0.317066\pi\) | |||||||
\(830\) | −3.20040e26 | − | 1.15769e26i | −0.0594240 | − | 0.0214956i | ||||
\(831\) | −1.15066e27 | + | 2.82868e27i | −0.211221 | + | 0.519248i | ||||
\(832\) | 3.35172e27 | − | 5.96776e27i | 0.608270 | − | 1.08303i | ||||
\(833\) | 1.45889e27i | 0.261754i | ||||||||
\(834\) | 2.44238e27 | − | 2.71040e27i | 0.433247 | − | 0.480791i | ||||
\(835\) | 2.73847e26i | 0.0480271i | ||||||||
\(836\) | −7.99539e26 | + | 9.60542e26i | −0.138637 | + | 0.166555i | ||||
\(837\) | 3.77803e27 | + | 8.65047e27i | 0.647699 | + | 1.48302i | ||||
\(838\) | −2.92279e26 | + | 8.07998e26i | −0.0495427 | + | 0.136959i | ||||
\(839\) | 9.31938e27 | 1.56188 | 0.780941 | − | 0.624605i | \(-0.214740\pi\) | ||||
0.780941 | + | 0.624605i | \(0.214740\pi\) | |||||||
\(840\) | −4.10130e25 | − | 2.84463e26i | −0.00679623 | − | 0.0471382i | ||||
\(841\) | 6.09151e27 | 0.998075 | ||||||||
\(842\) | 1.00598e27 | − | 2.78099e27i | 0.162976 | − | 0.450542i | ||||
\(843\) | −9.74886e26 | − | 3.96568e26i | −0.156168 | − | 0.0635266i | ||||
\(844\) | −1.78912e27 | + | 2.14939e27i | −0.283390 | + | 0.340457i | ||||
\(845\) | 1.79031e26i | 0.0280407i | ||||||||
\(846\) | −4.36648e27 | + | 2.11478e27i | −0.676259 | + | 0.327527i | ||||
\(847\) | 2.42126e27i | 0.370808i | ||||||||
\(848\) | −9.53617e27 | + | 1.75936e27i | −1.44415 | + | 0.266437i | ||||
\(849\) | 6.91197e26 | + | 2.81168e26i | 0.103509 | + | 0.0421059i | ||||
\(850\) | 1.10790e28 | + | 4.00763e27i | 1.64067 | + | 0.593482i | ||||
\(851\) | 2.51729e25 | 0.00368641 | ||||||||
\(852\) | −7.14487e27 | + | 3.81354e27i | −1.03471 | + | 0.552272i | ||||
\(853\) | −1.15322e28 | −1.65157 | −0.825787 | − | 0.563982i | \(-0.809269\pi\) | ||||
−0.825787 | + | 0.563982i | \(0.809269\pi\) | |||||||
\(854\) | 3.41486e27 | + | 1.23527e27i | 0.483642 | + | 0.174949i | ||||
\(855\) | 7.39960e25 | + | 7.21376e25i | 0.0103641 | + | 0.0101038i | ||||
\(856\) | −1.17184e28 | + | 6.85865e27i | −1.62319 | + | 0.950032i | ||||
\(857\) | 4.21757e27i | 0.577756i | 0.957366 | + | 0.288878i | \(0.0932822\pi\) | ||||
−0.957366 | + | 0.288878i | \(0.906718\pi\) | |||||||
\(858\) | −5.26666e27 | − | 4.74585e27i | −0.713520 | − | 0.642962i | ||||
\(859\) | − | 5.03907e27i | − | 0.675173i | −0.941295 | − | 0.337586i | \(-0.890389\pi\) | ||
0.941295 | − | 0.337586i | \(-0.109611\pi\) | |||||||
\(860\) | −2.61281e24 | − | 2.17486e24i | −0.000346237 | − | 0.000288202i | ||||
\(861\) | 3.31871e26 | − | 8.15841e26i | 0.0434950 | − | 0.106924i | ||||
\(862\) | −3.51695e27 | + | 9.72251e27i | −0.455876 | + | 1.26026i | ||||
\(863\) | 8.39733e27 | 1.07656 | 0.538281 | − | 0.842766i | \(-0.319074\pi\) | ||||
0.538281 | + | 0.842766i | \(0.319074\pi\) | |||||||
\(864\) | 7.64683e27 | − | 1.92918e27i | 0.969619 | − | 0.244620i | ||||
\(865\) | −6.88109e26 | −0.0862987 | ||||||||
\(866\) | −2.58170e27 | + | 7.13703e27i | −0.320247 | + | 0.885314i | ||||
\(867\) | 6.32741e27 | − | 1.55547e28i | 0.776327 | − | 1.90845i | ||||
\(868\) | −9.45123e27 | − | 7.86704e27i | −1.14697 | − | 0.954716i | ||||
\(869\) | − | 4.18099e27i | − | 0.501870i | ||||||
\(870\) | 1.41769e25 | + | 1.27750e25i | 0.00168325 | + | 0.00151680i | ||||
\(871\) | 6.13519e27i | 0.720535i | ||||||||
\(872\) | −1.17662e28 | + | 6.88660e27i | −1.36688 | + | 0.800016i | ||||
\(873\) | −7.66722e26 | − | 7.47465e26i | −0.0881054 | − | 0.0858926i | ||||
\(874\) | 1.45243e25 | + | 5.25392e24i | 0.00165096 | + | 0.000597207i | ||||
\(875\) | 8.45994e26 | 0.0951241 | ||||||||
\(876\) | 1.40991e28 | − | 7.52532e27i | 1.56820 | − | 0.837020i | ||||
\(877\) | 1.02751e27 | 0.113055 | 0.0565277 | − | 0.998401i | \(-0.481997\pi\) | ||||
0.0565277 | + | 0.998401i | \(0.481997\pi\) | |||||||
\(878\) | −1.08974e28 | − | 3.94196e27i | −1.18611 | − | 0.429056i | ||||
\(879\) | 8.43698e27 | + | 3.43202e27i | 0.908432 | + | 0.369535i | ||||
\(880\) | 3.68692e26 | − | 6.80214e25i | 0.0392716 | − | 0.00724536i | ||||
\(881\) | − | 1.25583e28i | − | 1.32331i | −0.749810 | − | 0.661653i | \(-0.769855\pi\) | ||
0.749810 | − | 0.661653i | \(-0.230145\pi\) | |||||||
\(882\) | −1.29183e27 | + | 6.25661e26i | −0.134665 | + | 0.0652210i | ||||
\(883\) | − | 8.82857e27i | − | 0.910466i | −0.890372 | − | 0.455233i | \(-0.849556\pi\) | ||
0.890372 | − | 0.455233i | \(-0.150444\pi\) | |||||||
\(884\) | 1.36259e28 | − | 1.63698e28i | 1.39018 | − | 1.67012i | ||||
\(885\) | 7.54061e26 | + | 3.06740e26i | 0.0761106 | + | 0.0309606i | ||||
\(886\) | 3.99500e27 | − | 1.10441e28i | 0.398930 | − | 1.10283i | ||||
\(887\) | −1.12775e28 | −1.11414 | −0.557070 | − | 0.830465i | \(-0.688075\pi\) | ||||
−0.557070 | + | 0.830465i | \(0.688075\pi\) | |||||||
\(888\) | −8.59153e26 | − | 5.95903e27i | −0.0839745 | − | 0.582441i | ||||
\(889\) | −2.73687e27 | −0.264659 | ||||||||
\(890\) | 1.65181e26 | − | 4.56638e26i | 0.0158036 | − | 0.0436885i | ||||
\(891\) | −2.07735e26 | − | 8.16599e27i | −0.0196640 | − | 0.772984i | ||||
\(892\) | −3.93710e27 | + | 4.72992e27i | −0.368732 | + | 0.442983i | ||||
\(893\) | 2.27256e27i | 0.210585i | ||||||||
\(894\) | −3.08735e27 | + | 3.42615e27i | −0.283060 | + | 0.314123i | ||||
\(895\) | 5.48782e26i | 0.0497830i | ||||||||
\(896\) | −7.77802e27 | + | 6.71216e27i | −0.698141 | + | 0.602471i | ||||
\(897\) | −3.30141e25 | + | 8.11587e25i | −0.00293205 | + | 0.00720787i | ||||
\(898\) | −7.90656e27 | − | 2.86006e27i | −0.694804 | − | 0.251333i | ||||
\(899\) | 8.16519e26 | 0.0709985 | ||||||||
\(900\) | 1.20264e27 | + | 1.15291e28i | 0.103474 | + | 0.991950i | ||||
\(901\) | −3.01752e28 | −2.56900 | ||||||||
\(902\) | 1.08042e27 | + | 3.90823e26i | 0.0910186 | + | 0.0329244i | ||||
\(903\) | 3.63579e25 | − | 8.93790e25i | 0.00303086 | − | 0.00745078i | ||||
\(904\) | 5.52685e27 | + | 9.44297e27i | 0.455908 | + | 0.778948i | ||||
\(905\) | − | 1.01776e27i | − | 0.0830776i | ||||||
\(906\) | −1.16809e28 | + | 1.29628e28i | −0.943538 | + | 1.04708i | ||||
\(907\) | − | 8.79974e26i | − | 0.0703397i | −0.999381 | − | 0.0351699i | \(-0.988803\pi\) | ||
0.999381 | − | 0.0351699i | \(-0.0111972\pi\) | |||||||
\(908\) | 2.89334e27 | + | 2.40837e27i | 0.228867 | + | 0.190505i | ||||
\(909\) | 8.55732e27 | − | 8.77778e27i | 0.669855 | − | 0.687112i | ||||
\(910\) | 2.59773e26 | − | 7.18134e26i | 0.0201233 | − | 0.0556304i | ||||
\(911\) | 9.21573e27 | 0.706488 | 0.353244 | − | 0.935531i | \(-0.385078\pi\) | ||||
0.353244 | + | 0.935531i | \(0.385078\pi\) | |||||||
\(912\) | 7.48011e26 | − | 3.61757e27i | 0.0567489 | − | 0.274451i | ||||
\(913\) | 1.26012e28 | 0.946106 | ||||||||
\(914\) | 1.09792e27 | − | 3.03517e27i | 0.0815796 | − | 0.225525i | ||||
\(915\) | 3.62833e26 | + | 1.47594e26i | 0.0266812 | + | 0.0108535i | ||||
\(916\) | −5.05907e26 | − | 4.21108e26i | −0.0368183 | − | 0.0306469i | ||||
\(917\) | 2.19037e28i | 1.57764i | ||||||||
\(918\) | 2.44894e28 | − | 1.58633e27i | 1.74571 | − | 0.113081i | ||||
\(919\) | 1.90384e28i | 1.34318i | 0.740924 | + | 0.671589i | \(0.234388\pi\) | ||||
−0.740924 | + | 0.671589i | \(0.765612\pi\) | |||||||
\(920\) | −2.34048e24 | − | 3.99886e24i | −0.000163426 | − | 0.000279224i | ||||
\(921\) | −1.98757e27 | − | 8.08513e26i | −0.137359 | − | 0.0558754i | ||||
\(922\) | 1.00464e28 | + | 3.63411e27i | 0.687174 | + | 0.248573i | ||||
\(923\) | −2.15199e28 | −1.45688 | ||||||||
\(924\) | 5.01074e27 | + | 9.38787e27i | 0.335752 | + | 0.629048i | ||||
\(925\) | 8.84925e27 | 0.586894 | ||||||||
\(926\) | −6.16831e27 | − | 2.23128e27i | −0.404913 | − | 0.146470i | ||||
\(927\) | −1.33211e28 | + | 1.36643e28i | −0.865530 | + | 0.887828i | ||||
\(928\) | 1.11811e26 | − | 6.72953e26i | 0.00719085 | − | 0.0432792i | ||||
\(929\) | 1.10708e28i | 0.704740i | 0.935861 | + | 0.352370i | \(0.114624\pi\) | ||||
−0.935861 | + | 0.352370i | \(0.885376\pi\) | |||||||
\(930\) | −9.85374e26 | − | 8.87933e26i | −0.0620888 | − | 0.0559490i | ||||
\(931\) | 6.72341e26i | 0.0419341i | ||||||||
\(932\) | 1.14133e28 | − | 1.37116e28i | 0.704630 | − | 0.846522i | ||||
\(933\) | 5.17679e27 | − | 1.27261e28i | 0.316362 | − | 0.777716i | ||||
\(934\) | −6.63580e26 | + | 1.83445e27i | −0.0401419 | + | 0.110971i | ||||
\(935\) | 1.16665e27 | 0.0698601 | ||||||||
\(936\) | 2.03390e28 | + | 5.04525e27i | 1.20561 | + | 0.299063i | ||||
\(937\) | 7.71356e27 | 0.452615 | 0.226308 | − | 0.974056i | \(-0.427335\pi\) | ||||
0.226308 | + | 0.974056i | \(0.427335\pi\) | |||||||
\(938\) | 3.13254e27 | − | 8.65983e27i | 0.181958 | − | 0.503017i | ||||
\(939\) | −4.52069e27 | + | 1.11132e28i | −0.259945 | + | 0.639025i | ||||
\(940\) | 4.36147e26 | − | 5.23974e26i | 0.0248267 | − | 0.0298260i | ||||
\(941\) | 5.84735e27i | 0.329502i | 0.986335 | + | 0.164751i | \(0.0526820\pi\) | ||||
−0.986335 | + | 0.164751i | \(0.947318\pi\) | |||||||
\(942\) | −1.10192e28 | − | 9.92957e27i | −0.614707 | − | 0.553920i | ||||
\(943\) | − | 1.41993e25i | − | 0.000784161i | ||||||
\(944\) | −5.27968e27 | − | 2.86172e28i | −0.288652 | − | 1.56456i | ||||
\(945\) | 8.06368e26 | − | 3.52175e26i | 0.0436447 | − | 0.0190615i | ||||
\(946\) | 1.18365e26 | + | 4.28164e25i | 0.00634244 | + | 0.00229427i | ||||
\(947\) | 1.18924e28 | 0.630877 | 0.315439 | − | 0.948946i | \(-0.397848\pi\) | ||||
0.315439 | + | 0.948946i | \(0.397848\pi\) | |||||||
\(948\) | 5.81919e27 | + | 1.09025e28i | 0.305621 | + | 0.572596i | ||||
\(949\) | 4.24656e28 | 2.20805 | ||||||||
\(950\) | 5.10585e27 | + | 1.84695e27i | 0.262842 | + | 0.0950783i | ||||
\(951\) | −7.45275e27 | − | 3.03166e27i | −0.379841 | − | 0.154513i | ||||
\(952\) | −2.75912e28 | + | 1.61488e28i | −1.39226 | + | 0.814871i | ||||
\(953\) | 6.65407e27i | 0.332433i | 0.986089 | + | 0.166217i | \(0.0531551\pi\) | ||||
−0.986089 | + | 0.166217i | \(0.946845\pi\) | |||||||
\(954\) | −1.29410e28 | − | 2.67198e28i | −0.640115 | − | 1.32167i | ||||
\(955\) | 8.78288e26i | 0.0430135i | ||||||||
\(956\) | 1.89546e28 | + | 1.57775e28i | 0.919103 | + | 0.765046i | ||||
\(957\) | −6.54509e26 | − | 2.66243e26i | −0.0314233 | − | 0.0127825i | ||||
\(958\) | 1.23192e28 | − | 3.40561e28i | 0.585612 | − | 1.61891i | ||||
\(959\) | 1.86370e28 | 0.877203 | ||||||||
\(960\) | −8.66744e26 | + | 6.90528e26i | −0.0403937 | + | 0.0321814i | ||||
\(961\) | −3.50820e28 | −1.61887 | ||||||||
\(962\) | 5.44180e27 | − | 1.50437e28i | 0.248645 | − | 0.687372i | ||||
\(963\) | −2.97663e28 | − | 2.90187e28i | −1.34671 | − | 1.31289i | ||||
\(964\) | 9.79665e27 | + | 8.15457e27i | 0.438880 | + | 0.365316i | ||||
\(965\) | 6.36799e26i | 0.0282483i | ||||||||
\(966\) | 8.80380e25 | − | 9.76993e25i | 0.00386712 | − | 0.00429149i | ||||
\(967\) | − | 1.26529e27i | − | 0.0550349i | −0.999621 | − | 0.0275175i | \(-0.991240\pi\) | ||
0.999621 | − | 0.0275175i | \(-0.00876019\pi\) | |||||||
\(968\) | 8.05736e27 | − | 4.71587e27i | 0.347038 | − | 0.203117i | ||||
\(969\) | 4.33139e27 | − | 1.06479e28i | 0.184736 | − | 0.454138i | ||||
\(970\) | 1.41491e26 | + | 5.11819e25i | 0.00597582 | + | 0.00216165i | ||||
\(971\) | −1.09039e28 | −0.456035 | −0.228017 | − | 0.973657i | \(-0.573224\pi\) | ||||
−0.228017 | + | 0.973657i | \(0.573224\pi\) | |||||||
\(972\) | 1.19073e28 | + | 2.10049e28i | 0.493154 | + | 0.869942i | ||||
\(973\) | −1.45517e28 | −0.596816 | ||||||||
\(974\) | −3.27797e27 | − | 1.18575e27i | −0.133136 | − | 0.0481595i | ||||
\(975\) | −1.16057e28 | + | 2.85304e28i | −0.466796 | + | 1.14753i | ||||
\(976\) | −2.54043e27 | − | 1.37698e28i | −0.101189 | − | 0.548471i | ||||
\(977\) | 2.98612e28i | 1.17790i | 0.808169 | + | 0.588950i | \(0.200459\pi\) | ||||
−0.808169 | + | 0.588950i | \(0.799541\pi\) | |||||||
\(978\) | −2.37782e28 | + | 2.63877e28i | −0.928882 | + | 1.03082i | ||||
\(979\) | 1.79796e28i | 0.695577i | ||||||||
\(980\) | 1.29035e26 | − | 1.55019e26i | 0.00494378 | − | 0.00593931i | ||||
\(981\) | −2.98876e28 | − | 2.91369e28i | −1.13406 | − | 1.10557i | ||||
\(982\) | 5.13008e27 | − | 1.41820e28i | 0.192781 | − | 0.532939i | ||||
\(983\) | −9.93497e27 | −0.369750 | −0.184875 | − | 0.982762i | \(-0.559188\pi\) | ||||
−0.184875 | + | 0.982762i | \(0.559188\pi\) | |||||||
\(984\) | −3.36130e27 | + | 4.84622e26i | −0.123895 | + | 0.0178628i | ||||
\(985\) | −1.09216e27 | −0.0398695 | ||||||||
\(986\) | 7.22088e26 | − | 1.99619e27i | 0.0261072 | − | 0.0721726i | ||||
\(987\) | 1.79241e28 | + | 7.29122e27i | 0.641836 | + | 0.261088i | ||||
\(988\) | 6.27964e27 | − | 7.54417e27i | 0.222712 | − | 0.267560i | ||||
\(989\) | − | 1.55559e24i | − | 5.46426e-5i | ||||||
\(990\) | 5.00331e26 | + | 1.03306e27i | 0.0174070 | + | 0.0359409i | ||||
\(991\) | − | 1.18903e28i | − | 0.409726i | −0.978791 | − | 0.204863i | \(-0.934325\pi\) | ||
0.978791 | − | 0.204863i | \(-0.0656749\pi\) | |||||||
\(992\) | −7.77153e27 | + | 4.67740e28i | −0.265244 | + | 1.59641i | ||||
\(993\) | −2.04068e28 | − | 8.30114e27i | −0.689853 | − | 0.280621i | ||||
\(994\) | 3.03755e28 | + | 1.09878e28i | 1.01707 | + | 0.367909i | ||||
\(995\) | −2.22655e27 | −0.0738436 | ||||||||
\(996\) | −3.28595e28 | + | 1.75386e28i | −1.07944 | + | 0.576144i | ||||
\(997\) | 3.79310e28 | 1.23421 | 0.617107 | − | 0.786879i | \(-0.288304\pi\) | ||||
0.617107 | + | 0.786879i | \(0.288304\pi\) | |||||||
\(998\) | −7.43535e27 | − | 2.68961e27i | −0.239641 | − | 0.0866860i | ||||
\(999\) | 1.68921e28 | − | 7.37748e27i | 0.539275 | − | 0.235524i |
(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 | 12.20.b.a.11.23 | yes | 36 | |
3.2 | odd | 2 | inner | 12.20.b.a.11.14 | yes | 36 | |
4.3 | odd | 2 | inner | 12.20.b.a.11.13 | ✓ | 36 | |
12.11 | even | 2 | inner | 12.20.b.a.11.24 | yes | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
12.20.b.a.11.13 | ✓ | 36 | 4.3 | odd | 2 | inner | |
12.20.b.a.11.14 | yes | 36 | 3.2 | odd | 2 | inner | |
12.20.b.a.11.23 | yes | 36 | 1.1 | even | 1 | trivial | |
12.20.b.a.11.24 | yes | 36 | 12.11 | even | 2 | inner |