Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [16,12,Mod(5,16)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(16, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([0, 1]))
N = Newforms(chi, 12, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("16.5");
S:= CuspForms(chi, 12);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 16 = 2^{4} \) |
Weight: | \( k \) | \(=\) | \( 12 \) |
Character orbit: | \([\chi]\) | \(=\) | 16.e (of order \(4\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(12.2934908890\) |
Analytic rank: | \(0\) |
Dimension: | \(42\) |
Relative dimension: | \(21\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 13.5 | ||
Character | \(\chi\) | \(=\) | 16.13 |
Dual form | 16.12.e.a.5.5 |
$q$-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 \(\left(\mathbb{Z}/16\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(15\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −33.6365 | + | 30.2752i | −0.743269 | + | 0.668993i | ||||
\(3\) | −4.32776 | − | 4.32776i | −0.0102824 | − | 0.0102824i | 0.701947 | − | 0.712229i | \(-0.252314\pi\) |
−0.712229 | + | 0.701947i | \(0.752314\pi\) | |||||||
\(4\) | 214.830 | − | 2036.70i | 0.104898 | − | 0.994483i | ||||
\(5\) | 2233.99 | − | 2233.99i | 0.319703 | − | 0.319703i | −0.528950 | − | 0.848653i | \(-0.677414\pi\) |
0.848653 | + | 0.528950i | \(0.177414\pi\) | |||||||
\(6\) | 276.594 | + | 14.5472i | 0.0145215 | + | 0.000763741i | ||||
\(7\) | 71414.8i | 1.60601i | 0.595970 | + | 0.803007i | \(0.296768\pi\) | ||||
−0.595970 | + | 0.803007i | \(0.703232\pi\) | |||||||
\(8\) | 54435.3 | + | 75011.5i | 0.587335 | + | 0.809344i | ||||
\(9\) | − | 177110.i | − | 0.999789i | ||||||
\(10\) | −7509.26 | + | 142778.i | −0.0237464 | + | 0.451505i | ||||
\(11\) | −236433. | + | 236433.i | −0.442638 | + | 0.442638i | −0.892898 | − | 0.450259i | \(-0.851331\pi\) |
0.450259 | + | 0.892898i | \(0.351331\pi\) | |||||||
\(12\) | −9744.08 | + | 7884.62i | −0.0113043 | + | 0.00914711i | ||||
\(13\) | −282.811 | − | 282.811i | −0.000211256 | − | 0.000211256i | 0.707001 | − | 0.707212i | \(-0.250048\pi\) |
−0.707212 | + | 0.707001i | \(0.750048\pi\) | |||||||
\(14\) | −2.16209e6 | − | 2.40215e6i | −1.07441 | − | 1.19370i | ||||
\(15\) | −19336.4 | −0.00657466 | ||||||||
\(16\) | −4.10200e6 | − | 875089.i | −0.977993 | − | 0.208638i | ||||
\(17\) | −8.99999e6 | −1.53735 | −0.768675 | − | 0.639639i | \(-0.779084\pi\) | ||||
−0.768675 | + | 0.639639i | \(0.779084\pi\) | |||||||
\(18\) | 5.36202e6 | + | 5.95735e6i | 0.668851 | + | 0.743112i | ||||
\(19\) | −1.07066e7 | − | 1.07066e7i | −0.991986 | − | 0.991986i | 0.00798250 | − | 0.999968i | \(-0.497459\pi\) |
−0.999968 | + | 0.00798250i | \(0.997459\pi\) | |||||||
\(20\) | −4.07005e6 | − | 5.02991e6i | −0.284403 | − | 0.351475i | ||||
\(21\) | 309066. | − | 309066.i | 0.0165137 | − | 0.0165137i | ||||
\(22\) | 794737. | − | 1.51108e7i | 0.0328775 | − | 0.625121i | ||||
\(23\) | 3.55394e7i | 1.15135i | 0.817679 | + | 0.575675i | \(0.195260\pi\) | ||||
−0.817679 | + | 0.575675i | \(0.804740\pi\) | |||||||
\(24\) | 89049.0 | − | 560215.i | 0.00228280 | − | 0.0143613i | ||||
\(25\) | 3.88467e7i | 0.795580i | ||||||||
\(26\) | 18074.9 | + | 950.630i | 0.000298348 | + | 1.56913e-5i | ||||
\(27\) | −1.53314e6 | + | 1.53314e6i | −0.0205627 | + | 0.0205627i | ||||
\(28\) | 1.45451e8 | + | 1.53421e7i | 1.59715 | + | 0.168467i | ||||
\(29\) | −4.42357e7 | − | 4.42357e7i | −0.400482 | − | 0.400482i | 0.477921 | − | 0.878403i | \(-0.341391\pi\) |
−0.878403 | + | 0.477921i | \(0.841391\pi\) | |||||||
\(30\) | 650408. | − | 585412.i | 0.00488674 | − | 0.00439840i | ||||
\(31\) | −1.07402e8 | −0.673785 | −0.336892 | − | 0.941543i | \(-0.609376\pi\) | ||||
−0.336892 | + | 0.941543i | \(0.609376\pi\) | |||||||
\(32\) | 1.64470e8 | − | 9.47537e7i | 0.866489 | − | 0.499196i | ||||
\(33\) | 2.04645e6 | 0.00910280 | ||||||||
\(34\) | 3.02728e8 | − | 2.72476e8i | 1.14267 | − | 1.02848i | ||||
\(35\) | 1.59540e8 | + | 1.59540e8i | 0.513448 | + | 0.513448i | ||||
\(36\) | −3.60719e8 | − | 3.80485e7i | −0.994273 | − | 0.104875i | ||||
\(37\) | −4.45048e8 | + | 4.45048e8i | −1.05511 | + | 1.05511i | −0.0567195 | + | 0.998390i | \(0.518064\pi\) |
−0.998390 | + | 0.0567195i | \(0.981936\pi\) | |||||||
\(38\) | 6.84274e8 | + | 3.59886e7i | 1.40094 | + | 0.0736810i | ||||
\(39\) | 2447.88i | 4.34444e-6i | ||||||||
\(40\) | 2.89183e8 | + | 4.59672e7i | 0.446523 | + | 0.0709770i | ||||
\(41\) | − | 1.29648e8i | − | 0.174765i | −0.996175 | − | 0.0873824i | \(-0.972150\pi\) | ||
0.996175 | − | 0.0873824i | \(-0.0278502\pi\) | |||||||
\(42\) | −1.03888e6 | + | 1.97529e7i | −0.00122658 | + | 0.0233217i | ||||
\(43\) | −5.58350e8 | + | 5.58350e8i | −0.579202 | + | 0.579202i | −0.934683 | − | 0.355481i | \(-0.884317\pi\) |
0.355481 | + | 0.934683i | \(0.384317\pi\) | |||||||
\(44\) | 4.30751e8 | + | 5.32337e8i | 0.393765 | + | 0.486628i | ||||
\(45\) | −3.95662e8 | − | 3.95662e8i | −0.319636 | − | 0.319636i | ||||
\(46\) | −1.07596e9 | − | 1.19542e9i | −0.770244 | − | 0.855762i | ||||
\(47\) | 4.62220e8 | 0.293975 | 0.146988 | − | 0.989138i | \(-0.453042\pi\) | ||||
0.146988 | + | 0.989138i | \(0.453042\pi\) | |||||||
\(48\) | 1.39653e7 | + | 2.15396e7i | 0.00791085 | + | 0.0122015i | ||||
\(49\) | −3.12275e9 | −1.57928 | ||||||||
\(50\) | −1.17609e9 | − | 1.30667e9i | −0.532237 | − | 0.591330i | ||||
\(51\) | 3.89498e7 | + | 3.89498e7i | 0.0158077 | + | 0.0158077i | ||||
\(52\) | −636758. | + | 515245.i | −0.000232250 | + | 0.000187930i | ||||
\(53\) | 1.27823e9 | − | 1.27823e9i | 0.419847 | − | 0.419847i | −0.465304 | − | 0.885151i | \(-0.654055\pi\) |
0.885151 | + | 0.465304i | \(0.154055\pi\) | |||||||
\(54\) | 5.15342e6 | − | 9.79853e7i | 0.00152732 | − | 0.0290399i | ||||
\(55\) | 1.05638e9i | 0.283026i | ||||||||
\(56\) | −5.35694e9 | + | 3.88749e9i | −1.29982 | + | 0.943267i | ||||
\(57\) | 9.26709e7i | 0.0204001i | ||||||||
\(58\) | 2.82717e9 | + | 1.48692e8i | 0.565586 | + | 0.0297463i | ||||
\(59\) | 5.52124e9 | − | 5.52124e9i | 1.00543 | − | 1.00543i | 0.00544223 | − | 0.999985i | \(-0.498268\pi\) |
0.999985 | − | 0.00544223i | \(-0.00173232\pi\) | |||||||
\(60\) | −4.15403e6 | + | 3.93824e7i | −0.000689665 | + | 0.00653838i | ||||
\(61\) | −1.52419e9 | − | 1.52419e9i | −0.231060 | − | 0.231060i | 0.582075 | − | 0.813135i | \(-0.302241\pi\) |
−0.813135 | + | 0.582075i | \(0.802241\pi\) | |||||||
\(62\) | 3.61261e9 | − | 3.25160e9i | 0.500803 | − | 0.450757i | ||||
\(63\) | 1.26482e10 | 1.60567 | ||||||||
\(64\) | −2.66353e9 | + | 8.16655e9i | −0.310076 | + | 0.950712i | ||||
\(65\) | −1.26360e6 | −0.000135078 | ||||||||
\(66\) | −6.88355e7 | + | 6.19567e7i | −0.00676583 | + | 0.00608971i | ||||
\(67\) | 1.43834e10 | + | 1.43834e10i | 1.30152 | + | 1.30152i | 0.927368 | + | 0.374150i | \(0.122065\pi\) |
0.374150 | + | 0.927368i | \(0.377935\pi\) | |||||||
\(68\) | −1.93347e9 | + | 1.83303e10i | −0.161264 | + | 1.52887i | ||||
\(69\) | 1.53806e8 | − | 1.53806e8i | 0.0118387 | − | 0.0118387i | ||||
\(70\) | −1.01965e10 | − | 5.36272e8i | −0.725122 | − | 0.0381370i | ||||
\(71\) | − | 7.48815e9i | − | 0.492553i | −0.969200 | − | 0.246277i | \(-0.920793\pi\) | ||
0.969200 | − | 0.246277i | \(-0.0792072\pi\) | |||||||
\(72\) | 1.32853e10 | − | 9.64101e9i | 0.809173 | − | 0.587211i | ||||
\(73\) | − | 1.59325e10i | − | 0.899517i | −0.893150 | − | 0.449759i | \(-0.851510\pi\) | ||
0.893150 | − | 0.449759i | \(-0.148490\pi\) | |||||||
\(74\) | 1.49597e9 | − | 2.84438e10i | 0.0783696 | − | 1.49009i | ||||
\(75\) | 1.68119e8 | − | 1.68119e8i | 0.00818050 | − | 0.00818050i | ||||
\(76\) | −2.41062e10 | + | 1.95060e10i | −1.09057 | + | 0.882456i | ||||
\(77\) | −1.68848e10 | − | 1.68848e10i | −0.710883 | − | 0.710883i | ||||
\(78\) | −74109.8 | − | 82338.0i | −2.90640e−6 | − | 3.22909e-6i | ||||
\(79\) | 6.06745e9 | 0.221849 | 0.110924 | − | 0.993829i | \(-0.464619\pi\) | ||||
0.110924 | + | 0.993829i | \(0.464619\pi\) | |||||||
\(80\) | −1.11188e10 | + | 7.20890e9i | −0.379370 | + | 0.245965i | ||||
\(81\) | −3.13612e10 | −0.999366 | ||||||||
\(82\) | 3.92511e9 | + | 4.36090e9i | 0.116916 | + | 0.129897i | ||||
\(83\) | 8.65455e9 | + | 8.65455e9i | 0.241165 | + | 0.241165i | 0.817332 | − | 0.576167i | \(-0.195452\pi\) |
−0.576167 | + | 0.817332i | \(0.695452\pi\) | |||||||
\(84\) | −5.63079e8 | − | 6.95872e8i | −0.0146904 | − | 0.0181549i | ||||
\(85\) | −2.01059e10 | + | 2.01059e10i | −0.491496 | + | 0.491496i | ||||
\(86\) | 1.87682e9 | − | 3.56851e10i | 0.0430210 | − | 0.817985i | ||||
\(87\) | 3.82883e8i | 0.00823587i | ||||||||
\(88\) | −3.06056e10 | − | 4.86491e9i | −0.618224 | − | 0.0982698i | ||||
\(89\) | 5.51864e10i | 1.04758i | 0.851848 | + | 0.523790i | \(0.175482\pi\) | ||||
−0.851848 | + | 0.523790i | \(0.824518\pi\) | |||||||
\(90\) | 2.52874e10 | + | 1.32996e9i | 0.451409 | + | 0.0237413i | ||||
\(91\) | 2.01969e7 | − | 2.01969e7i | 0.000339279 | − | 0.000339279i | ||||
\(92\) | 7.23832e10 | + | 7.63493e9i | 1.14500 | + | 0.120774i | ||||
\(93\) | 4.64808e8 | + | 4.64808e8i | 0.00692815 | + | 0.00692815i | ||||
\(94\) | −1.55475e10 | + | 1.39938e10i | −0.218503 | + | 0.196667i | ||||
\(95\) | −4.78368e10 | −0.634282 | ||||||||
\(96\) | −1.12186e9 | − | 3.01717e8i | −0.0140426 | − | 0.00377666i | ||||
\(97\) | −1.47835e11 | −1.74797 | −0.873985 | − | 0.485953i | \(-0.838473\pi\) | ||||
−0.873985 | + | 0.485953i | \(0.838473\pi\) | |||||||
\(98\) | 1.05038e11 | − | 9.45417e10i | 1.17383 | − | 1.05653i | ||||
\(99\) | 4.18746e10 | + | 4.18746e10i | 0.442545 | + | 0.442545i | ||||
\(100\) | 7.91191e10 | + | 8.34543e9i | 0.791191 | + | 0.0834543i | ||||
\(101\) | 1.14815e11 | − | 1.14815e11i | 1.08700 | − | 1.08700i | 0.0911655 | − | 0.995836i | \(-0.470941\pi\) |
0.995836 | − | 0.0911655i | \(-0.0290592\pi\) | |||||||
\(102\) | −2.48935e9 | − | 1.30924e8i | −0.0223246 | − | 0.00117414i | ||||
\(103\) | 6.84942e9i | 0.0582169i | 0.999576 | + | 0.0291084i | \(0.00926681\pi\) | ||||
−0.999576 | + | 0.0291084i | \(0.990733\pi\) | |||||||
\(104\) | 5.81919e6 | − | 3.66090e7i | 4.69007e−5 | − | 0.000295056i | ||||
\(105\) | − | 1.38090e9i | − | 0.0105590i | ||||||
\(106\) | −4.29659e9 | + | 8.16937e10i | −0.0311847 | + | 0.592934i | ||||
\(107\) | −1.10999e11 | + | 1.10999e11i | −0.765080 | + | 0.765080i | −0.977236 | − | 0.212156i | \(-0.931952\pi\) |
0.212156 | + | 0.977236i | \(0.431952\pi\) | |||||||
\(108\) | 2.79318e9 | + | 3.45191e9i | 0.0182923 | + | 0.0226062i | ||||
\(109\) | 1.01764e11 | + | 1.01764e11i | 0.633501 | + | 0.633501i | 0.948944 | − | 0.315444i | \(-0.102153\pi\) |
−0.315444 | + | 0.948944i | \(0.602153\pi\) | |||||||
\(110\) | −3.19821e10 | − | 3.55330e10i | −0.189342 | − | 0.210364i | ||||
\(111\) | 3.85212e9 | 0.0216982 | ||||||||
\(112\) | 6.24943e10 | − | 2.92944e11i | 0.335075 | − | 1.57067i | ||||
\(113\) | 9.78538e10 | 0.499627 | 0.249814 | − | 0.968294i | \(-0.419631\pi\) | ||||
0.249814 | + | 0.968294i | \(0.419631\pi\) | |||||||
\(114\) | −2.80562e9 | − | 3.11712e9i | −0.0136475 | − | 0.0151627i | ||||
\(115\) | 7.93948e10 | + | 7.93948e10i | 0.368090 | + | 0.368090i | ||||
\(116\) | −9.95980e10 | + | 8.05917e10i | −0.440283 | + | 0.356263i | ||||
\(117\) | −5.00885e7 | + | 5.00885e7i | −0.000211211 | + | 0.000211211i | ||||
\(118\) | −1.85589e10 | + | 3.52872e11i | −0.0746794 | + | 1.41993i | ||||
\(119\) | − | 6.42733e11i | − | 2.46901i | ||||||
\(120\) | −1.05258e9 | − | 1.45045e9i | −0.00386153 | − | 0.00532116i | ||||
\(121\) | 1.73510e11i | 0.608143i | ||||||||
\(122\) | 9.74135e10 | + | 5.12335e9i | 0.326317 | + | 0.0171623i | ||||
\(123\) | −5.61084e8 | + | 5.61084e8i | −0.00179701 | + | 0.00179701i | ||||
\(124\) | −2.30731e10 | + | 2.18745e11i | −0.0706783 | + | 0.670067i | ||||
\(125\) | 1.95865e11 | + | 1.95865e11i | 0.574053 | + | 0.574053i | ||||
\(126\) | −4.25443e11 | + | 3.82928e11i | −1.19345 | + | 1.07418i | ||||
\(127\) | −6.75185e11 | −1.81344 | −0.906718 | − | 0.421738i | \(-0.861420\pi\) | ||||
−0.906718 | + | 0.421738i | \(0.861420\pi\) | |||||||
\(128\) | −1.57652e11 | − | 3.55333e11i | −0.405550 | − | 0.914073i | ||||
\(129\) | 4.83281e9 | 0.0119112 | ||||||||
\(130\) | 4.25030e7 | − | 3.82556e7i | 0.000100399 | − | 9.03663e-5i | ||||
\(131\) | 1.39014e11 | + | 1.39014e11i | 0.314823 | + | 0.314823i | 0.846775 | − | 0.531952i | \(-0.178541\pi\) |
−0.531952 | + | 0.846775i | \(0.678541\pi\) | |||||||
\(132\) | 4.39640e8 | − | 4.16801e9i | 0.000954861 | − | 0.00905258i | ||||
\(133\) | 7.64607e11 | − | 7.64607e11i | 1.59314 | − | 1.59314i | ||||
\(134\) | −9.19267e11 | − | 4.83478e10i | −1.83808 | − | 0.0966719i | ||||
\(135\) | 6.85004e9i | 0.0131479i | ||||||||
\(136\) | −4.89917e11 | − | 6.75103e11i | −0.902940 | − | 1.24425i | ||||
\(137\) | − | 7.40756e9i | − | 0.0131133i | −0.999979 | − | 0.00655665i | \(-0.997913\pi\) | ||
0.999979 | − | 0.00655665i | \(-0.00208706\pi\) | |||||||
\(138\) | −5.16997e8 | + | 9.83000e9i | −0.000879333 | + | 0.0167193i | ||||
\(139\) | −5.44962e10 | + | 5.44962e10i | −0.0890810 | + | 0.0890810i | −0.750243 | − | 0.661162i | \(-0.770064\pi\) |
0.661162 | + | 0.750243i | \(0.270064\pi\) | |||||||
\(140\) | 3.59210e11 | − | 2.90662e11i | 0.564474 | − | 0.456755i | ||||
\(141\) | −2.00038e9 | − | 2.00038e9i | −0.00302278 | − | 0.00302278i | ||||
\(142\) | 2.26705e11 | + | 2.51875e11i | 0.329515 | + | 0.366100i | ||||
\(143\) | 1.33732e8 | 0.000187020 | ||||||||
\(144\) | −1.54987e11 | + | 7.26503e11i | −0.208593 | + | 0.977786i | ||||
\(145\) | −1.97644e11 | −0.256071 | ||||||||
\(146\) | 4.82360e11 | + | 5.35915e11i | 0.601771 | + | 0.668583i | ||||
\(147\) | 1.35145e10 | + | 1.35145e10i | 0.0162388 | + | 0.0162388i | ||||
\(148\) | 8.10821e11 | + | 1.00204e12i | 0.938610 | + | 1.15997i | ||||
\(149\) | 6.09273e11 | − | 6.09273e11i | 0.679653 | − | 0.679653i | −0.280268 | − | 0.959922i | \(-0.590423\pi\) |
0.959922 | + | 0.280268i | \(0.0904235\pi\) | |||||||
\(150\) | −5.65108e8 | + | 1.07448e10i | −0.000607617 | + | 0.0115530i | ||||
\(151\) | − | 6.86276e11i | − | 0.711419i | −0.934597 | − | 0.355709i | \(-0.884239\pi\) | ||
0.934597 | − | 0.355709i | \(-0.115761\pi\) | |||||||
\(152\) | 2.20301e11 | − | 1.38593e12i | 0.220230 | − | 1.38549i | ||||
\(153\) | 1.59398e12i | 1.53703i | ||||||||
\(154\) | 1.07914e12 | + | 5.67560e10i | 1.00395 | + | 0.0528017i | ||||
\(155\) | −2.39934e11 | + | 2.39934e11i | −0.215411 | + | 0.215411i | ||||
\(156\) | 4.98559e6 | + | 525878.i | 4.32048e−6 | + | 4.55721e-7i | ||||
\(157\) | 1.50923e12 | + | 1.50923e12i | 1.26272 | + | 1.26272i | 0.949769 | + | 0.312952i | \(0.101318\pi\) |
0.312952 | + | 0.949769i | \(0.398682\pi\) | |||||||
\(158\) | −2.04088e11 | + | 1.83693e11i | −0.164893 | + | 0.148415i | ||||
\(159\) | −1.10637e10 | −0.00863411 | ||||||||
\(160\) | 1.55747e11 | − | 5.79105e11i | 0.117425 | − | 0.436614i | ||||
\(161\) | −2.53804e12 | −1.84908 | ||||||||
\(162\) | 1.05488e12 | − | 9.49464e11i | 0.742797 | − | 0.668568i | ||||
\(163\) | 1.16350e12 | + | 1.16350e12i | 0.792017 | + | 0.792017i | 0.981822 | − | 0.189805i | \(-0.0607854\pi\) |
−0.189805 | + | 0.981822i | \(0.560785\pi\) | |||||||
\(164\) | −2.64054e11 | − | 2.78522e10i | −0.173801 | − | 0.0183324i | ||||
\(165\) | 4.57176e9 | − | 4.57176e9i | 0.00291019 | − | 0.00291019i | ||||
\(166\) | −5.53127e11 | − | 2.90910e10i | −0.340589 | − | 0.0179129i | ||||
\(167\) | − | 1.66142e12i | − | 0.989777i | −0.868956 | − | 0.494889i | \(-0.835209\pi\) | ||
0.868956 | − | 0.494889i | \(-0.164791\pi\) | |||||||
\(168\) | 4.00076e10 | + | 6.35942e9i | 0.0230644 | + | 0.00366620i | ||||
\(169\) | − | 1.79216e12i | − | 1.00000i | ||||||
\(170\) | 6.75832e10 | − | 1.28500e12i | 0.0365065 | − | 0.694121i | ||||
\(171\) | −1.89623e12 | + | 1.89623e12i | −0.991776 | + | 0.991776i | ||||
\(172\) | 1.01724e12 | + | 1.25714e12i | 0.515250 | + | 0.636764i | ||||
\(173\) | −2.50410e12 | − | 2.50410e12i | −1.22856 | − | 1.22856i | −0.964507 | − | 0.264058i | \(-0.914939\pi\) |
−0.264058 | − | 0.964507i | \(-0.585061\pi\) | |||||||
\(174\) | −1.15918e10 | − | 1.28788e10i | −0.00550974 | − | 0.00612147i | ||||
\(175\) | −2.77423e12 | −1.27771 | ||||||||
\(176\) | 1.17675e12 | − | 7.62949e11i | 0.525248 | − | 0.340546i | ||||
\(177\) | −4.77892e10 | −0.0206765 | ||||||||
\(178\) | −1.67078e12 | − | 1.85628e12i | −0.700823 | − | 0.778633i | ||||
\(179\) | 2.08597e12 | + | 2.08597e12i | 0.848431 | + | 0.848431i | 0.989937 | − | 0.141506i | \(-0.0451946\pi\) |
−0.141506 | + | 0.989937i | \(0.545195\pi\) | |||||||
\(180\) | −8.90845e11 | + | 7.20845e11i | −0.351401 | + | 0.284343i | ||||
\(181\) | −1.90878e12 | + | 1.90878e12i | −0.730339 | + | 0.730339i | −0.970687 | − | 0.240348i | \(-0.922739\pi\) |
0.240348 | + | 0.970687i | \(0.422739\pi\) | |||||||
\(182\) | −6.78891e7 | + | 1.29082e9i | −2.52004e−5 | + | 0.000479151i | ||||
\(183\) | 1.31927e10i | 0.00475172i | ||||||||
\(184\) | −2.66587e12 | + | 1.93460e12i | −0.931838 | + | 0.676228i | ||||
\(185\) | 1.98847e12i | 0.674644i | ||||||||
\(186\) | −2.97066e10 | − | 1.56239e9i | −0.00978436 | − | 0.000514597i | ||||
\(187\) | 2.12790e12 | − | 2.12790e12i | 0.680490 | − | 0.680490i | ||||
\(188\) | 9.92988e10 | − | 9.41405e11i | 0.0308373 | − | 0.292353i | ||||
\(189\) | −1.09489e11 | − | 1.09489e11i | −0.0330240 | − | 0.0330240i | ||||
\(190\) | 1.60906e12 | − | 1.44827e12i | 0.471442 | − | 0.424330i | ||||
\(191\) | 4.39175e12 | 1.25013 | 0.625064 | − | 0.780574i | \(-0.285073\pi\) | ||||
0.625064 | + | 0.780574i | \(0.285073\pi\) | |||||||
\(192\) | 4.68700e10 | − | 2.38158e10i | 0.0129640 | − | 0.00658730i | ||||
\(193\) | −5.30994e12 | −1.42733 | −0.713665 | − | 0.700487i | \(-0.752966\pi\) | ||||
−0.713665 | + | 0.700487i | \(0.752966\pi\) | |||||||
\(194\) | 4.97267e12 | − | 4.47574e12i | 1.29921 | − | 1.16938i | ||||
\(195\) | 5.46854e6 | + | 5.46854e6i | 1.38893e−6 | + | 1.38893e-6i | ||||
\(196\) | −6.70860e11 | + | 6.36011e12i | −0.165662 | + | 1.57057i | ||||
\(197\) | 3.61540e12 | − | 3.61540e12i | 0.868146 | − | 0.868146i | −0.124121 | − | 0.992267i | \(-0.539611\pi\) |
0.992267 | + | 0.124121i | \(0.0396112\pi\) | |||||||
\(198\) | −2.67628e12 | − | 1.40756e11i | −0.624989 | − | 0.0328706i | ||||
\(199\) | 2.20956e12i | 0.501897i | 0.968000 | + | 0.250948i | \(0.0807424\pi\) | ||||
−0.968000 | + | 0.250948i | \(0.919258\pi\) | |||||||
\(200\) | −2.91395e12 | + | 2.11463e12i | −0.643898 | + | 0.467272i | ||||
\(201\) | − | 1.24496e11i | − | 0.0267656i | ||||||
\(202\) | −3.85934e11 | + | 7.33800e12i | −0.0807384 | + | 1.53513i | ||||
\(203\) | 3.15908e12 | − | 3.15908e12i | 0.643180 | − | 0.643180i | ||||
\(204\) | 8.76967e10 | − | 7.09615e10i | 0.0173787 | − | 0.0140623i | ||||
\(205\) | −2.89632e11 | − | 2.89632e11i | −0.0558729 | − | 0.0558729i | ||||
\(206\) | −2.07367e11 | − | 2.30391e11i | −0.0389467 | − | 0.0432708i | ||||
\(207\) | 6.29437e12 | 1.15111 | ||||||||
\(208\) | 9.12606e8 | + | 1.40758e9i | 0.000162531 | + | 0.000250682i | ||||
\(209\) | 5.06278e12 | 0.878182 | ||||||||
\(210\) | 4.18071e10 | + | 4.64488e10i | 0.00706388 | + | 0.00784817i | ||||
\(211\) | −1.33456e11 | − | 1.33456e11i | −0.0219676 | − | 0.0219676i | 0.696038 | − | 0.718005i | \(-0.254945\pi\) |
−0.718005 | + | 0.696038i | \(0.754945\pi\) | |||||||
\(212\) | −2.32877e12 | − | 2.87797e12i | −0.373490 | − | 0.461572i | ||||
\(213\) | −3.24069e10 | + | 3.24069e10i | −0.00506465 | + | 0.00506465i | ||||
\(214\) | 3.73106e11 | − | 7.09411e12i | 0.0568273 | − | 1.08049i | ||||
\(215\) | 2.49470e12i | 0.370346i | ||||||||
\(216\) | −1.98460e11 | − | 3.15462e10i | −0.0287195 | − | 0.00456511i | ||||
\(217\) | − | 7.67006e12i | − | 1.08211i | ||||||
\(218\) | −6.50389e12 | − | 3.42064e11i | −0.894669 | − | 0.0470541i | ||||
\(219\) | −6.89522e10 | + | 6.89522e10i | −0.00924923 | + | 0.00924923i | ||||
\(220\) | 2.15153e12 | + | 2.26942e11i | 0.281464 | + | 0.0296887i | ||||
\(221\) | 2.54530e9 | + | 2.54530e9i | 0.000324774 | + | 0.000324774i | ||||
\(222\) | −1.29572e11 | + | 1.16624e11i | −0.0161276 | + | 0.0145159i | ||||
\(223\) | 1.71920e12 | 0.208761 | 0.104380 | − | 0.994537i | \(-0.466714\pi\) | ||||
0.104380 | + | 0.994537i | \(0.466714\pi\) | |||||||
\(224\) | 6.76682e12 | + | 1.17456e13i | 0.801716 | + | 1.39159i | ||||
\(225\) | 6.88012e12 | 0.795412 | ||||||||
\(226\) | −3.29146e12 | + | 2.96254e12i | −0.371358 | + | 0.334247i | ||||
\(227\) | −4.83327e12 | − | 4.83327e12i | −0.532230 | − | 0.532230i | 0.389006 | − | 0.921235i | \(-0.372819\pi\) |
−0.921235 | + | 0.389006i | \(0.872819\pi\) | |||||||
\(228\) | 1.88743e11 | + | 1.99085e10i | 0.0202875 | + | 0.00213992i | ||||
\(229\) | −7.49588e12 | + | 7.49588e12i | −0.786552 | + | 0.786552i | −0.980927 | − | 0.194375i | \(-0.937732\pi\) |
0.194375 | + | 0.980927i | \(0.437732\pi\) | |||||||
\(230\) | −5.07426e12 | − | 2.66875e11i | −0.519839 | − | 0.0273403i | ||||
\(231\) | 1.46147e11i | 0.0146192i | ||||||||
\(232\) | 9.10203e11 | − | 5.72617e12i | 0.0889108 | − | 0.559345i | ||||
\(233\) | 3.54948e12i | 0.338616i | 0.985563 | + | 0.169308i | \(0.0541532\pi\) | ||||
−0.985563 | + | 0.169308i | \(0.945847\pi\) | |||||||
\(234\) | 1.68366e8 | − | 3.20124e9i | 1.56879e−5 | − | 0.000298285i | ||||
\(235\) | 1.03260e12 | − | 1.03260e12i | 0.0939848 | − | 0.0939848i | ||||
\(236\) | −1.00590e13 | − | 1.24312e13i | −0.894414 | − | 1.10535i | ||||
\(237\) | −2.62585e10 | − | 2.62585e10i | −0.00228115 | − | 0.00228115i | ||||
\(238\) | 1.94588e13 | + | 2.16193e13i | 1.65175 | + | 1.83514i | ||||
\(239\) | −1.56707e13 | −1.29987 | −0.649936 | − | 0.759989i | \(-0.725204\pi\) | ||||
−0.649936 | + | 0.759989i | \(0.725204\pi\) | |||||||
\(240\) | 7.93178e10 | + | 1.69211e10i | 0.00642997 | + | 0.00137172i | ||||
\(241\) | 3.00251e12 | 0.237898 | 0.118949 | − | 0.992900i | \(-0.462047\pi\) | ||||
0.118949 | + | 0.992900i | \(0.462047\pi\) | |||||||
\(242\) | −5.25305e12 | − | 5.83628e12i | −0.406843 | − | 0.452014i | ||||
\(243\) | 4.07314e11 | + | 4.07314e11i | 0.0308386 | + | 0.0308386i | ||||
\(244\) | −3.43176e12 | + | 2.77688e12i | −0.254023 | + | 0.205548i | ||||
\(245\) | −6.97620e12 | + | 6.97620e12i | −0.504900 | + | 0.504900i | ||||
\(246\) | 1.88601e9 | − | 3.58598e10i | 0.000133475 | − | 0.00253785i | ||||
\(247\) | 6.05587e9i | 0.000419125i | ||||||||
\(248\) | −5.84643e12 | − | 8.05635e12i | −0.395737 | − | 0.545324i | ||||
\(249\) | − | 7.49096e10i | − | 0.00495954i | ||||||
\(250\) | −1.25181e13 | − | 6.58372e11i | −0.810712 | − | 0.0426385i | ||||
\(251\) | −1.12730e13 | + | 1.12730e13i | −0.714223 | + | 0.714223i | −0.967416 | − | 0.253193i | \(-0.918519\pi\) |
0.253193 | + | 0.967416i | \(0.418519\pi\) | |||||||
\(252\) | 2.71722e12 | − | 2.57607e13i | 0.168431 | − | 1.59682i | ||||
\(253\) | −8.40270e12 | − | 8.40270e12i | −0.509631 | − | 0.509631i | ||||
\(254\) | 2.27109e13 | − | 2.04413e13i | 1.34787 | − | 1.21317i | ||||
\(255\) | 1.74027e11 | 0.0101076 | ||||||||
\(256\) | 1.60606e13 | + | 7.17923e12i | 0.912941 | + | 0.408092i | ||||
\(257\) | 2.38344e13 | 1.32609 | 0.663044 | − | 0.748580i | \(-0.269264\pi\) | ||||
0.663044 | + | 0.748580i | \(0.269264\pi\) | |||||||
\(258\) | −1.62559e11 | + | 1.46314e11i | −0.00885324 | + | 0.00796852i | ||||
\(259\) | −3.17830e13 | − | 3.17830e13i | −1.69452 | − | 1.69452i | ||||
\(260\) | −2.71459e8 | + | 2.57357e9i | −1.41694e−5 | + | 0.000134333i | ||||
\(261\) | −7.83456e12 | + | 7.83456e12i | −0.400398 | + | 0.400398i | ||||
\(262\) | −8.88462e12 | − | 4.67276e11i | −0.444613 | − | 0.0233839i | ||||
\(263\) | 3.02043e13i | 1.48017i | 0.672513 | + | 0.740085i | \(0.265215\pi\) | ||||
−0.672513 | + | 0.740085i | \(0.734785\pi\) | |||||||
\(264\) | 1.11399e11 | + | 1.53508e11i | 0.00534639 | + | 0.00736730i | ||||
\(265\) | − | 5.71111e12i | − | 0.268453i | ||||||
\(266\) | −2.57012e12 | + | 4.88673e13i | −0.118333 | + | 2.24993i | ||||
\(267\) | 2.38833e11 | − | 2.38833e11i | 0.0107717 | − | 0.0107717i | ||||
\(268\) | 3.23847e13 | − | 2.62047e13i | 1.43086 | − | 1.15781i | ||||
\(269\) | 2.50045e13 | + | 2.50045e13i | 1.08238 | + | 1.08238i | 0.996287 | + | 0.0860954i | \(0.0274390\pi\) |
0.0860954 | + | 0.996287i | \(0.472561\pi\) | |||||||
\(270\) | −2.07386e11 | − | 2.30411e11i | −0.00879587 | − | 0.00977244i | ||||
\(271\) | 5.39216e12 | 0.224095 | 0.112047 | − | 0.993703i | \(-0.464259\pi\) | ||||
0.112047 | + | 0.993703i | \(0.464259\pi\) | |||||||
\(272\) | 3.69180e13 | + | 7.87580e12i | 1.50352 | + | 0.320749i | ||||
\(273\) | −1.74815e8 | −6.97723e−6 | ||||||||
\(274\) | 2.24265e11 | + | 2.49164e11i | 0.00877270 | + | 0.00974671i | ||||
\(275\) | −9.18465e12 | − | 9.18465e12i | −0.352154 | − | 0.352154i | ||||
\(276\) | −2.80215e11 | − | 3.46299e11i | −0.0105315 | − | 0.0130152i | ||||
\(277\) | 9.61770e12 | − | 9.61770e12i | 0.354350 | − | 0.354350i | −0.507375 | − | 0.861725i | \(-0.669384\pi\) |
0.861725 | + | 0.507375i | \(0.169384\pi\) | |||||||
\(278\) | 1.83181e11 | − | 3.48294e12i | 0.00661660 | − | 0.125806i | ||||
\(279\) | 1.90218e13i | 0.673642i | ||||||||
\(280\) | −3.28274e12 | + | 2.06520e13i | −0.113990 | + | 0.717121i | ||||
\(281\) | 3.40138e12i | 0.115817i | 0.998322 | + | 0.0579083i | \(0.0184431\pi\) | ||||
−0.998322 | + | 0.0579083i | \(0.981557\pi\) | |||||||
\(282\) | 1.27848e11 | + | 6.72399e9i | 0.00426896 | + | 0.000224521i | ||||
\(283\) | 1.89776e13 | − | 1.89776e13i | 0.621465 | − | 0.621465i | −0.324441 | − | 0.945906i | \(-0.605176\pi\) |
0.945906 | + | 0.324441i | \(0.105176\pi\) | |||||||
\(284\) | −1.52511e13 | − | 1.60868e12i | −0.489836 | − | 0.0516676i | ||||
\(285\) | 2.07026e11 | + | 2.07026e11i | 0.00652197 | + | 0.00652197i | ||||
\(286\) | −4.49828e9 | + | 4.04876e9i | −0.000139006 | + | 0.000125115i | ||||
\(287\) | 9.25877e12 | 0.280675 | ||||||||
\(288\) | −1.67818e13 | − | 2.91293e13i | −0.499091 | − | 0.866306i | ||||
\(289\) | 4.67279e13 | 1.36345 | ||||||||
\(290\) | 6.64807e12 | − | 5.98371e12i | 0.190330 | − | 0.171310i | ||||
\(291\) | 6.39796e11 | + | 6.39796e11i | 0.0179734 | + | 0.0179734i | ||||
\(292\) | −3.24498e13 | − | 3.42279e12i | −0.894555 | − | 0.0943571i | ||||
\(293\) | −2.15247e13 | + | 2.15247e13i | −0.582325 | + | 0.582325i | −0.935542 | − | 0.353217i | \(-0.885088\pi\) |
0.353217 | + | 0.935542i | \(0.385088\pi\) | |||||||
\(294\) | −8.63735e11 | − | 4.54271e10i | −0.0229335 | − | 0.00120616i | ||||
\(295\) | − | 2.46688e13i | − | 0.642877i | ||||||
\(296\) | −5.76101e13 | − | 9.15742e12i | −1.47365 | − | 0.234244i | ||||
\(297\) | − | 7.24969e11i | − | 0.0182037i | ||||||
\(298\) | −2.04798e12 | + | 3.89396e13i | −0.0504821 | + | 0.959848i | ||||
\(299\) | 1.00509e10 | − | 1.00509e10i | 0.000243229 | − | 0.000243229i | ||||
\(300\) | −3.06291e11 | − | 3.78525e11i | −0.00727725 | − | 0.00899348i | ||||
\(301\) | −3.98745e13 | − | 3.98745e13i | −0.930207 | − | 0.930207i | ||||
\(302\) | 2.07771e13 | + | 2.30839e13i | 0.475934 | + | 0.528775i | ||||
\(303\) | −9.93781e11 | −0.0223540 | ||||||||
\(304\) | 3.45491e13 | + | 5.32875e13i | 0.763190 | + | 1.17712i | ||||
\(305\) | −6.81006e12 | −0.147741 | ||||||||
\(306\) | −4.82581e13 | − | 5.36161e13i | −1.02826 | − | 1.14242i | ||||
\(307\) | −1.79843e13 | − | 1.79843e13i | −0.376386 | − | 0.376386i | 0.493411 | − | 0.869796i | \(-0.335750\pi\) |
−0.869796 | + | 0.493411i | \(0.835750\pi\) | |||||||
\(308\) | −3.80168e13 | + | 3.07620e13i | −0.781531 | + | 0.632391i | ||||
\(309\) | 2.96426e10 | − | 2.96426e10i | 0.000598612 | − | 0.000598612i | ||||
\(310\) | 8.06505e11 | − | 1.53346e13i | 0.0159999 | − | 0.304217i | ||||
\(311\) | 8.79750e12i | 0.171466i | 0.996318 | + | 0.0857328i | \(0.0273231\pi\) | ||||
−0.996318 | + | 0.0857328i | \(0.972677\pi\) | |||||||
\(312\) | −1.83619e8 | + | 1.33251e8i | −3.51615e−6 | + | 2.55164e-6i | ||||
\(313\) | − | 5.86822e13i | − | 1.10411i | −0.833808 | − | 0.552055i | \(-0.813844\pi\) | ||
0.833808 | − | 0.552055i | \(-0.186156\pi\) | |||||||
\(314\) | −9.64574e13 | − | 5.07307e12i | −1.78329 | − | 0.0937902i | ||||
\(315\) | 2.82561e13 | − | 2.82561e13i | 0.513339 | − | 0.513339i | ||||
\(316\) | 1.30347e12 | − | 1.23576e13i | 0.0232714 | − | 0.220625i | ||||
\(317\) | −3.22343e13 | − | 3.22343e13i | −0.565578 | − | 0.565578i | 0.365308 | − | 0.930887i | \(-0.380964\pi\) |
−0.930887 | + | 0.365308i | \(0.880964\pi\) | |||||||
\(318\) | 3.72145e11 | − | 3.34956e11i | 0.00641746 | − | 0.00577615i | ||||
\(319\) | 2.09176e13 | 0.354538 | ||||||||
\(320\) | 1.22937e13 | + | 2.41943e13i | 0.204813 | + | 0.403078i | ||||
\(321\) | 9.60751e11 | 0.0157338 | ||||||||
\(322\) | 8.53708e13 | − | 7.68396e13i | 1.37437 | − | 1.23702i | ||||
\(323\) | 9.63590e13 | + | 9.63590e13i | 1.52503 | + | 1.52503i | ||||
\(324\) | −6.73732e12 | + | 6.38733e13i | −0.104831 | + | 0.993852i | ||||
\(325\) | 1.09863e10 | − | 1.09863e10i | 0.000168071 | − | 0.000168071i | ||||
\(326\) | −7.43612e13 | − | 3.91094e12i | −1.11854 | − | 0.0588281i | ||||
\(327\) | − | 8.80817e11i | − | 0.0130279i | ||||||
\(328\) | 9.72508e12 | − | 7.05742e12i | 0.141445 | − | 0.102645i | ||||
\(329\) | 3.30094e13i | 0.472128i | ||||||||
\(330\) | −1.53673e10 | + | 2.92189e11i | −0.000216158 | + | 0.00410996i | ||||
\(331\) | −3.78052e13 | + | 3.78052e13i | −0.522994 | + | 0.522994i | −0.918475 | − | 0.395480i | \(-0.870578\pi\) |
0.395480 | + | 0.918475i | \(0.370578\pi\) | |||||||
\(332\) | 1.94860e13 | − | 1.57675e13i | 0.265132 | − | 0.214537i | ||||
\(333\) | 7.88223e13 | + | 7.88223e13i | 1.05489 | + | 1.05489i | ||||
\(334\) | 5.02996e13 | + | 5.58842e13i | 0.662154 | + | 0.735671i | ||||
\(335\) | 6.42649e13 | 0.832199 | ||||||||
\(336\) | −1.53825e12 | + | 9.97329e11i | −0.0195957 | + | 0.0127049i | ||||
\(337\) | −1.14761e14 | −1.43823 | −0.719115 | − | 0.694891i | \(-0.755453\pi\) | ||||
−0.719115 | + | 0.694891i | \(0.755453\pi\) | |||||||
\(338\) | 5.42579e13 | + | 6.02820e13i | 0.668993 | + | 0.743269i | ||||
\(339\) | −4.23488e11 | − | 4.23488e11i | −0.00513739 | − | 0.00513739i | ||||
\(340\) | 3.66304e13 | + | 4.52691e13i | 0.437228 | + | 0.540341i | ||||
\(341\) | 2.53933e13 | − | 2.53933e13i | 0.298243 | − | 0.298243i | ||||
\(342\) | 6.37393e12 | − | 1.21192e14i | 0.0736654 | − | 1.40065i | ||||
\(343\) | − | 8.18001e13i | − | 0.930329i | ||||||
\(344\) | −7.22767e13 | − | 1.14887e13i | −0.808960 | − | 0.128588i | ||||
\(345\) | − | 6.87203e11i | − | 0.00756973i | ||||||
\(346\) | 1.60041e14 | + | 8.41718e12i | 1.73505 | + | 0.0912532i | ||||
\(347\) | 1.50582e13 | − | 1.50582e13i | 0.160679 | − | 0.160679i | −0.622188 | − | 0.782868i | \(-0.713756\pi\) |
0.782868 | + | 0.622188i | \(0.213756\pi\) | |||||||
\(348\) | 7.79817e11 | + | 8.22547e10i | 0.00819044 | + | 0.000863922i | ||||
\(349\) | −3.37156e13 | − | 3.37156e13i | −0.348570 | − | 0.348570i | 0.511006 | − | 0.859577i | \(-0.329273\pi\) |
−0.859577 | + | 0.511006i | \(0.829273\pi\) | |||||||
\(350\) | 9.33153e13 | − | 8.39902e13i | 0.949683 | − | 0.854780i | ||||
\(351\) | 8.67176e8 | 8.68797e−6 | ||||||||
\(352\) | −1.64834e13 | + | 6.12892e13i | −0.162578 | + | 0.604505i | ||||
\(353\) | −1.59363e14 | −1.54748 | −0.773741 | − | 0.633502i | \(-0.781617\pi\) | ||||
−0.773741 | + | 0.633502i | \(0.781617\pi\) | |||||||
\(354\) | 1.60746e12 | − | 1.44683e12i | 0.0153682 | − | 0.0138324i | ||||
\(355\) | −1.67285e13 | − | 1.67285e13i | −0.157471 | − | 0.157471i | ||||
\(356\) | 1.12398e14 | + | 1.18557e13i | 1.04180 | + | 0.109888i | ||||
\(357\) | −2.78159e12 | + | 2.78159e12i | −0.0253874 | + | 0.0253874i | ||||
\(358\) | −1.33318e14 | − | 7.01170e12i | −1.19821 | − | 0.0630183i | ||||
\(359\) | 9.53928e13i | 0.844299i | 0.906526 | + | 0.422150i | \(0.138724\pi\) | ||||
−0.906526 | + | 0.422150i | \(0.861276\pi\) | |||||||
\(360\) | 8.14123e12 | − | 5.12172e13i | 0.0709620 | − | 0.446428i | ||||
\(361\) | 1.12771e14i | 0.968071i | ||||||||
\(362\) | 6.41611e12 | − | 1.21994e14i | 0.0542468 | − | 1.03143i | ||||
\(363\) | 7.50910e11 | − | 7.50910e11i | 0.00625319 | − | 0.00625319i | ||||
\(364\) | −3.67962e10 | − | 4.54740e10i | −0.000301818 | − | 0.000372997i | ||||
\(365\) | −3.55932e13 | − | 3.55932e13i | −0.287579 | − | 0.287579i | ||||
\(366\) | −3.99410e11 | − | 4.43755e11i | −0.00317887 | − | 0.00353181i | ||||
\(367\) | −4.96140e13 | −0.388992 | −0.194496 | − | 0.980903i | \(-0.562307\pi\) | ||||
−0.194496 | + | 0.980903i | \(0.562307\pi\) | |||||||
\(368\) | 3.11002e13 | − | 1.45783e14i | 0.240215 | − | 1.12601i | ||||
\(369\) | −2.29619e13 | −0.174728 | ||||||||
\(370\) | −6.02012e13 | − | 6.68852e13i | −0.451332 | − | 0.501442i | ||||
\(371\) | 9.12845e13 | + | 9.12845e13i | 0.674280 | + | 0.674280i | ||||
\(372\) | 1.04653e12 | − | 8.46820e11i | 0.00761667 | − | 0.00616318i | ||||
\(373\) | 5.68027e13 | − | 5.68027e13i | 0.407353 | − | 0.407353i | −0.473462 | − | 0.880814i | \(-0.656996\pi\) |
0.880814 | + | 0.473462i | \(0.156996\pi\) | |||||||
\(374\) | −7.15263e12 | + | 1.35997e14i | −0.0505443 | + | 0.961030i | ||||
\(375\) | − | 1.69531e12i | − | 0.0118053i | ||||||
\(376\) | 2.51611e13 | + | 3.46719e13i | 0.172662 | + | 0.237927i | ||||
\(377\) | 2.50207e10i | 0.000169208i | ||||||||
\(378\) | 6.99760e12 | + | 3.68031e11i | 0.0466385 | + | 0.00245290i | ||||
\(379\) | −1.11074e14 | + | 1.11074e14i | −0.729621 | + | 0.729621i | −0.970544 | − | 0.240923i | \(-0.922550\pi\) |
0.240923 | + | 0.970544i | \(0.422550\pi\) | |||||||
\(380\) | −1.02768e13 | + | 9.74293e13i | −0.0665346 | + | 0.630783i | ||||
\(381\) | 2.92204e12 | + | 2.92204e12i | 0.0186465 | + | 0.0186465i | ||||
\(382\) | −1.47723e14 | + | 1.32961e14i | −0.929181 | + | 0.836326i | ||||
\(383\) | −2.62650e14 | −1.62849 | −0.814244 | − | 0.580523i | \(-0.802848\pi\) | ||||
−0.814244 | + | 0.580523i | \(0.802848\pi\) | |||||||
\(384\) | −8.55517e11 | + | 2.22008e12i | −0.00522886 | + | 0.0135689i | ||||
\(385\) | −7.54413e13 | −0.454543 | ||||||||
\(386\) | 1.78608e14 | − | 1.60759e14i | 1.06089 | − | 0.954873i | ||||
\(387\) | 9.88892e13 | + | 9.88892e13i | 0.579080 | + | 0.579080i | ||||
\(388\) | −3.17595e13 | + | 3.01097e14i | −0.183358 | + | 1.73833i | ||||
\(389\) | 8.87826e13 | − | 8.87826e13i | 0.505365 | − | 0.505365i | −0.407735 | − | 0.913100i | \(-0.633681\pi\) |
0.913100 | + | 0.407735i | \(0.133681\pi\) | |||||||
\(390\) | −3.49504e8 | − | 1.83817e7i | −1.96154e−6 | − | 1.03165e-7i | ||||
\(391\) | − | 3.19854e14i | − | 1.77003i | ||||||
\(392\) | −1.69988e14 | − | 2.34242e14i | −0.927565 | − | 1.27818i | ||||
\(393\) | − | 1.20324e12i | − | 0.00647430i | ||||||
\(394\) | −1.21527e13 | + | 2.31067e14i | −0.0644826 | + | 1.22605i | ||||
\(395\) | 1.35547e13 | − | 1.35547e13i | 0.0709258 | − | 0.0709258i | ||||
\(396\) | 9.42820e13 | − | 7.62901e13i | 0.486525 | − | 0.393681i | ||||
\(397\) | −2.85419e13 | − | 2.85419e13i | −0.145256 | − | 0.145256i | 0.630739 | − | 0.775995i | \(-0.282752\pi\) |
−0.775995 | + | 0.630739i | \(0.782752\pi\) | |||||||
\(398\) | −6.68948e13 | − | 7.43219e13i | −0.335765 | − | 0.373044i | ||||
\(399\) | −6.61807e12 | −0.0327628 | ||||||||
\(400\) | 3.39943e13 | − | 1.59349e14i | 0.165988 | − | 0.778071i | ||||
\(401\) | 2.56296e14 | 1.23438 | 0.617189 | − | 0.786815i | \(-0.288271\pi\) | ||||
0.617189 | + | 0.786815i | \(0.288271\pi\) | |||||||
\(402\) | 3.76913e12 | + | 4.18760e12i | 0.0179060 | + | 0.0198940i | ||||
\(403\) | 3.03743e10 | + | 3.03743e10i | 0.000142341 | + | 0.000142341i | ||||
\(404\) | −2.09178e14 | − | 2.58509e14i | −0.966981 | − | 1.19503i | ||||
\(405\) | −7.00606e13 | + | 7.00606e13i | −0.319500 | + | 0.319500i | ||||
\(406\) | −1.06188e13 | + | 2.01902e14i | −0.0477730 | + | 0.908339i | ||||
\(407\) | − | 2.10448e14i | − | 0.934064i | ||||||
\(408\) | −8.01440e11 | + | 5.04193e12i | −0.00350946 | + | 0.0220783i | ||||
\(409\) | 1.52405e14i | 0.658447i | 0.944252 | + | 0.329224i | \(0.106787\pi\) | ||||
−0.944252 | + | 0.329224i | \(0.893213\pi\) | |||||||
\(410\) | 1.85109e13 | + | 9.73558e11i | 0.0789071 | + | 0.00415003i | ||||
\(411\) | −3.20581e10 | + | 3.20581e10i | −0.000134837 | + | 0.000134837i | ||||
\(412\) | 1.39502e13 | + | 1.47146e12i | 0.0578957 | + | 0.00610681i | ||||
\(413\) | 3.94298e14 | + | 3.94298e14i | 1.61473 | + | 1.61473i | ||||
\(414\) | −2.11721e14 | + | 1.90563e14i | −0.855581 | + | 0.770081i | ||||
\(415\) | 3.86684e13 | 0.154203 | ||||||||
\(416\) | −7.33115e10 | − | 1.97167e10i | −0.000288509 | − | 7.75926e-5i | ||||
\(417\) | 4.71693e11 | 0.00183194 | ||||||||
\(418\) | −1.70294e14 | + | 1.53276e14i | −0.652725 | + | 0.587497i | ||||
\(419\) | −1.00355e14 | − | 1.00355e14i | −0.379631 | − | 0.379631i | 0.491338 | − | 0.870969i | \(-0.336508\pi\) |
−0.870969 | + | 0.491338i | \(0.836508\pi\) | |||||||
\(420\) | −2.81249e12 | − | 2.96660e11i | −0.0105007 | − | 0.00110761i | ||||
\(421\) | 2.77863e14 | − | 2.77863e14i | 1.02395 | − | 1.02395i | 0.0242456 | − | 0.999706i | \(-0.492282\pi\) |
0.999706 | − | 0.0242456i | \(-0.00771836\pi\) | |||||||
\(422\) | 8.52937e12 | + | 4.48592e11i | 0.0310241 | + | 0.00163167i | ||||
\(423\) | − | 8.18636e13i | − | 0.293913i | ||||||
\(424\) | 1.65463e14 | + | 2.63011e13i | 0.586392 | + | 0.0932099i | ||||
\(425\) | − | 3.49620e14i | − | 1.22309i | ||||||
\(426\) | 1.08931e11 | − | 2.07118e12i | 0.000376183 | − | 0.00715261i | ||||
\(427\) | 1.08850e14 | − | 1.08850e14i | 0.371086 | − | 0.371086i | ||||
\(428\) | 2.02225e14 | + | 2.49917e14i | 0.680604 | + | 0.841114i | ||||
\(429\) | −5.78760e8 | − | 5.78760e8i | −1.92302e−6 | − | 1.92302e-6i | ||||
\(430\) | −7.55275e13 | − | 8.39131e13i | −0.247759 | − | 0.275266i | ||||
\(431\) | 7.56776e13 | 0.245099 | 0.122550 | − | 0.992462i | \(-0.460893\pi\) | ||||
0.122550 | + | 0.992462i | \(0.460893\pi\) | |||||||
\(432\) | 7.63056e12 | − | 4.94730e12i | 0.0244003 | − | 0.0158200i | ||||
\(433\) | −2.91093e13 | −0.0919070 | −0.0459535 | − | 0.998944i | \(-0.514633\pi\) | ||||
−0.0459535 | + | 0.998944i | \(0.514633\pi\) | |||||||
\(434\) | 2.32212e14 | + | 2.57994e14i | 0.723922 | + | 0.804297i | ||||
\(435\) | 8.55357e11 | + | 8.55357e11i | 0.00263303 | + | 0.00263303i | ||||
\(436\) | 2.29124e14 | − | 1.85400e14i | 0.696458 | − | 0.563553i | ||||
\(437\) | 3.80505e14 | − | 3.80505e14i | 1.14212 | − | 1.14212i | ||||
\(438\) | 2.31773e11 | − | 4.40685e12i | 0.000686998 | − | 0.0130623i | ||||
\(439\) | 3.40756e14i | 0.997445i | 0.866762 | + | 0.498723i | \(0.166197\pi\) | ||||
−0.866762 | + | 0.498723i | \(0.833803\pi\) | |||||||
\(440\) | −7.92408e13 | + | 5.75044e13i | −0.229065 | + | 0.166231i | ||||
\(441\) | 5.53069e14i | 1.57894i | ||||||||
\(442\) | −1.62674e11 | − | 8.55566e9i | −0.000458666 | − | 2.41230e-5i | ||||
\(443\) | −2.82666e14 | + | 2.82666e14i | −0.787141 | + | 0.787141i | −0.981025 | − | 0.193884i | \(-0.937892\pi\) |
0.193884 | + | 0.981025i | \(0.437892\pi\) | |||||||
\(444\) | 8.27552e11 | − | 7.84562e12i | 0.00227609 | − | 0.0215785i | ||||
\(445\) | 1.23286e14 | + | 1.23286e14i | 0.334914 | + | 0.334914i | ||||
\(446\) | −5.78278e13 | + | 5.20490e13i | −0.155165 | + | 0.139660i | ||||
\(447\) | −5.27357e12 | −0.0139770 | ||||||||
\(448\) | −5.83213e14 | − | 1.90215e14i | −1.52686 | − | 0.497985i | ||||
\(449\) | −6.78315e13 | −0.175419 | −0.0877094 | − | 0.996146i | \(-0.527955\pi\) | ||||
−0.0877094 | + | 0.996146i | \(0.527955\pi\) | |||||||
\(450\) | −2.31423e14 | + | 2.08297e14i | −0.591205 | + | 0.532125i | ||||
\(451\) | 3.06531e13 | + | 3.06531e13i | 0.0773576 | + | 0.0773576i | ||||
\(452\) | 2.10219e13 | − | 1.99299e14i | 0.0524097 | − | 0.496871i | ||||
\(453\) | −2.97004e12 | + | 2.97004e12i | −0.00731512 | + | 0.00731512i | ||||
\(454\) | 3.08903e14 | + | 1.62464e13i | 0.751648 | + | 0.0395320i | ||||
\(455\) | − | 9.02395e10i | − | 0.000216937i | ||||||
\(456\) | −6.95138e12 | + | 5.04457e12i | −0.0165107 | + | 0.0119817i | ||||
\(457\) | − | 1.33927e14i | − | 0.314289i | −0.987576 | − | 0.157144i | \(-0.949771\pi\) | ||
0.987576 | − | 0.157144i | \(-0.0502288\pi\) | |||||||
\(458\) | 2.51963e13 | − | 4.79074e14i | 0.0584221 | − | 1.11082i | ||||
\(459\) | 1.37982e13 | − | 1.37982e13i | 0.0316121 | − | 0.0316121i | ||||
\(460\) | 1.78760e14 | − | 1.44647e14i | 0.404671 | − | 0.327448i | ||||
\(461\) | −4.21772e14 | − | 4.21772e14i | −0.943457 | − | 0.943457i | 0.0550276 | − | 0.998485i | \(-0.482475\pi\) |
−0.998485 | + | 0.0550276i | \(0.982475\pi\) | |||||||
\(462\) | −4.42462e12 | − | 4.91588e12i | −0.00978015 | − | 0.0108660i | ||||
\(463\) | −5.89482e14 | −1.28758 | −0.643792 | − | 0.765201i | \(-0.722640\pi\) | ||||
−0.643792 | + | 0.765201i | \(0.722640\pi\) | |||||||
\(464\) | 1.42745e14 | + | 2.20165e14i | 0.308113 | + | 0.475225i | ||||
\(465\) | 2.07676e12 | 0.00442990 | ||||||||
\(466\) | −1.07461e14 | − | 1.19392e14i | −0.226532 | − | 0.251683i | ||||
\(467\) | −3.66542e14 | − | 3.66542e14i | −0.763627 | − | 0.763627i | 0.213349 | − | 0.976976i | \(-0.431563\pi\) |
−0.976976 | + | 0.213349i | \(0.931563\pi\) | |||||||
\(468\) | 9.12549e10 | + | 1.12776e11i | 0.000187890 | + | 0.000232201i | ||||
\(469\) | −1.02719e15 | + | 1.02719e15i | −2.09026 | + | 2.09026i | ||||
\(470\) | −3.47093e12 | + | 6.59950e13i | −0.00698084 | + | 0.132731i | ||||
\(471\) | − | 1.30632e13i | − | 0.0259677i | ||||||
\(472\) | 7.14707e14 | + | 1.13606e14i | 1.40426 | + | 0.223214i | ||||
\(473\) | − | 2.64025e14i | − | 0.512754i | ||||||
\(474\) | 1.67822e12 | + | 8.82641e10i | 0.00322158 | + | 0.000169435i | ||||
\(475\) | 4.15914e14 | − | 4.15914e14i | 0.789204 | − | 0.789204i | ||||
\(476\) | −1.30905e15 | − | 1.38078e14i | −2.45538 | − | 0.258993i | ||||
\(477\) | −2.26386e14 | − | 2.26386e14i | −0.419758 | − | 0.419758i | ||||
\(478\) | 5.27109e14 | − | 4.74434e14i | 0.966155 | − | 0.869605i | ||||
\(479\) | 3.11241e14 | 0.563964 | 0.281982 | − | 0.959420i | \(-0.409008\pi\) | ||||
0.281982 | + | 0.959420i | \(0.409008\pi\) | |||||||
\(480\) | −3.18026e12 | + | 1.83219e12i | −0.00569687 | + | 0.00328204i | ||||
\(481\) | 2.51729e11 | 0.000445795 | ||||||||
\(482\) | −1.00994e14 | + | 9.09015e13i | −0.176822 | + | 0.159152i | ||||
\(483\) | 1.09840e13 | + | 1.09840e13i | 0.0190131 | + | 0.0190131i | ||||
\(484\) | 3.53388e14 | + | 3.72752e13i | 0.604788 | + | 0.0637927i | ||||
\(485\) | −3.30263e14 | + | 3.30263e14i | −0.558832 | + | 0.558832i | ||||
\(486\) | −2.60321e13 | − | 1.36913e12i | −0.0435522 | − | 0.00229058i | ||||
\(487\) | − | 1.03101e13i | − | 0.0170551i | −0.999964 | − | 0.00852757i | \(-0.997286\pi\) | ||
0.999964 | − | 0.00852757i | \(-0.00271444\pi\) | |||||||
\(488\) | 3.13621e13 | − | 1.97302e14i | 0.0512975 | − | 0.322717i | ||||
\(489\) | − | 1.00707e13i | − | 0.0162877i | ||||||
\(490\) | 2.34495e13 | − | 4.45861e14i | 0.0375021 | − | 0.713051i | ||||
\(491\) | −4.62895e14 | + | 4.62895e14i | −0.732039 | + | 0.732039i | −0.971023 | − | 0.238984i | \(-0.923186\pi\) |
0.238984 | + | 0.971023i | \(0.423186\pi\) | |||||||
\(492\) | 1.02222e12 | + | 1.26330e12i | 0.00159859 | + | 0.00197560i | ||||
\(493\) | 3.98121e14 | + | 3.98121e14i | 0.615682 | + | 0.615682i | ||||
\(494\) | −1.83342e11 | − | 2.03698e11i | −0.000280391 | − | 0.000311523i | ||||
\(495\) | 1.87095e14 | 0.282966 | ||||||||
\(496\) | 4.40561e14 | + | 9.39859e13i | 0.658957 | + | 0.140577i | ||||
\(497\) | 5.34765e14 | 0.791047 | ||||||||
\(498\) | 2.26790e12 | + | 2.51970e12i | 0.00331789 | + | 0.00368627i | ||||
\(499\) | 3.82763e14 | + | 3.82763e14i | 0.553831 | + | 0.553831i | 0.927544 | − | 0.373713i | \(-0.121916\pi\) |
−0.373713 | + | 0.927544i | \(0.621916\pi\) | |||||||
\(500\) | 4.40996e14 | − | 3.56841e14i | 0.631102 | − | 0.510669i | ||||
\(501\) | −7.19020e12 | + | 7.19020e12i | −0.0101773 | + | 0.0101773i | ||||
\(502\) | 3.78926e13 | − | 7.20476e14i | 0.0530498 | − | 1.00867i | ||||
\(503\) | 1.37272e15i | 1.90090i | 0.310877 | + | 0.950450i | \(0.399377\pi\) | ||||
−0.310877 | + | 0.950450i | \(0.600623\pi\) | |||||||
\(504\) | 6.88511e14 | + | 9.48764e14i | 0.943068 | + | 1.29954i | ||||
\(505\) | − | 5.12991e14i | − | 0.695036i | ||||||
\(506\) | 5.37031e14 | + | 2.82445e13i | 0.719733 | + | 0.0378535i | ||||
\(507\) | −7.75604e12 | + | 7.75604e12i | −0.0102824 | + | 0.0102824i | ||||
\(508\) | −1.45050e14 | + | 1.37515e15i | −0.190225 | + | 1.80343i | ||||
\(509\) | −1.01553e15 | − | 1.01553e15i | −1.31748 | − | 1.31748i | −0.915764 | − | 0.401716i | \(-0.868414\pi\) |
−0.401716 | − | 0.915764i | \(-0.631586\pi\) | |||||||
\(510\) | −5.85367e12 | + | 5.26870e12i | −0.00751263 | + | 0.00676188i | ||||
\(511\) | 1.13782e15 | 1.44464 | ||||||||
\(512\) | −7.57576e14 | + | 2.44753e14i | −0.951571 | + | 0.307428i | ||||
\(513\) | 3.28293e13 | 0.0407958 | ||||||||
\(514\) | −8.01707e14 | + | 7.21591e14i | −0.985640 | + | 0.887144i | ||||
\(515\) | 1.53016e13 | + | 1.53016e13i | 0.0186121 | + | 0.0186121i | ||||
\(516\) | 1.03823e12 | − | 9.84299e12i | 0.00124946 | − | 0.0118455i | ||||
\(517\) | −1.09284e14 | + | 1.09284e14i | −0.130125 | + | 0.130125i | ||||
\(518\) | 2.03131e15 | + | 1.06834e14i | 2.39311 | + | 0.125863i | ||||
\(519\) | 2.16743e13i | 0.0252653i | ||||||||
\(520\) | −6.87843e10 | − | 9.47843e10i | −7.93361e−5 | − | 0.000109325i | ||||
\(521\) | − | 1.84458e14i | − | 0.210518i | −0.994445 | − | 0.105259i | \(-0.966433\pi\) | ||
0.994445 | − | 0.105259i | \(-0.0335672\pi\) | |||||||
\(522\) | 2.63348e13 | − | 5.00720e14i | 0.0297400 | − | 0.565466i | ||||
\(523\) | 1.02732e15 | − | 1.02732e15i | 1.14801 | − | 1.14801i | 0.161066 | − | 0.986944i | \(-0.448507\pi\) |
0.986944 | − | 0.161066i | \(-0.0514931\pi\) | |||||||
\(524\) | 3.12994e14 | − | 2.53266e14i | 0.346110 | − | 0.280062i | ||||
\(525\) | 1.20062e13 | + | 1.20062e13i | 0.0131380 | + | 0.0131380i | ||||
\(526\) | −9.14439e14 | − | 1.01597e15i | −0.990223 | − | 1.10016i | ||||
\(527\) | 9.66613e14 | 1.03584 | ||||||||
\(528\) | −8.39455e12 | − | 1.79083e12i | −0.00890248 | − | 0.00189919i | ||||
\(529\) | −3.10240e14 | −0.325605 | ||||||||
\(530\) | 1.72905e14 | + | 1.92102e14i | 0.179593 | + | 0.199533i | ||||
\(531\) | −9.77865e14 | − | 9.77865e14i | −1.00521 | − | 1.00521i | ||||
\(532\) | −1.39302e15 | − | 1.72154e15i | −1.41724 | − | 1.75147i | ||||
\(533\) | −3.66658e10 | + | 3.66658e10i | −3.69200e−5 | + | 3.69200e-5i | ||||
\(534\) | −8.02805e11 | + | 1.52642e13i | −0.000800079 | + | 0.0152124i | ||||
\(535\) | 4.95941e14i | 0.489197i | ||||||||
\(536\) | −2.95956e14 | + | 1.86189e15i | −0.288949 | + | 1.81780i | ||||
\(537\) | − | 1.80552e13i | − | 0.0174479i | ||||||
\(538\) | −1.59808e15 | − | 8.40491e13i | −1.52861 | − | 0.0803953i | ||||
\(539\) | 7.38322e14 | − | 7.38322e14i | 0.699049 | − | 0.699049i | ||||
\(540\) | 1.39515e13 | + | 1.47159e12i | 0.0130754 | + | 0.00137918i | ||||
\(541\) | 3.99095e14 | + | 3.99095e14i | 0.370247 | + | 0.370247i | 0.867567 | − | 0.497320i | \(-0.165683\pi\) |
−0.497320 | + | 0.867567i | \(0.665683\pi\) | |||||||
\(542\) | −1.81373e14 | + | 1.63248e14i | −0.166563 | + | 0.149918i | ||||
\(543\) | 1.65215e13 | 0.0150193 | ||||||||
\(544\) | −1.48023e15 | + | 8.52783e14i | −1.33210 | + | 0.767440i | ||||
\(545\) | 4.54679e14 | 0.405064 | ||||||||
\(546\) | 5.88016e9 | − | 5.29254e9i | 5.18596e−6 | − | 4.66772e-6i | ||||
\(547\) | −5.81181e14 | − | 5.81181e14i | −0.507436 | − | 0.507436i | 0.406303 | − | 0.913739i | \(-0.366818\pi\) |
−0.913739 | + | 0.406303i | \(0.866818\pi\) | |||||||
\(548\) | −1.50870e13 | − | 1.59137e12i | −0.0130410 | − | 0.00137555i | ||||
\(549\) | −2.69949e14 | + | 2.69949e14i | −0.231011 | + | 0.231011i | ||||
\(550\) | 5.87006e14 | + | 3.08729e13i | 0.497334 | + | 0.0261567i | ||||
\(551\) | 9.47224e14i | 0.794546i | ||||||||
\(552\) | 1.99097e13 | + | 3.16475e12i | 0.0165348 | + | 0.00262830i | ||||
\(553\) | 4.33306e14i | 0.356292i | ||||||||
\(554\) | −3.23286e13 | + | 6.14683e14i | −0.0263198 | + | 0.500435i | ||||
\(555\) | 8.60562e12 | − | 8.60562e12i | 0.00693698 | − | 0.00693698i | ||||
\(556\) | 9.92851e13 | + | 1.22700e14i | 0.0792452 | + | 0.0979339i | ||||
\(557\) | −5.50142e14 | − | 5.50142e14i | −0.434781 | − | 0.434781i | 0.455470 | − | 0.890251i | \(-0.349471\pi\) |
−0.890251 | + | 0.455470i | \(0.849471\pi\) | |||||||
\(558\) | −5.75889e14 | − | 6.39828e14i | −0.450662 | − | 0.500697i | ||||
\(559\) | 3.15815e11 | 0.000244719 | ||||||||
\(560\) | −5.14822e14 | − | 7.94046e14i | −0.395024 | − | 0.609273i | ||||
\(561\) | −1.84181e13 | −0.0139942 | ||||||||
\(562\) | −1.02977e14 | − | 1.14411e14i | −0.0774804 | − | 0.0860829i | ||||
\(563\) | 1.01942e15 | + | 1.01942e15i | 0.759549 | + | 0.759549i | 0.976240 | − | 0.216691i | \(-0.0695264\pi\) |
−0.216691 | + | 0.976240i | \(0.569526\pi\) | |||||||
\(564\) | −4.50391e12 | + | 3.64443e12i | −0.00332319 | + | 0.00268902i | ||||
\(565\) | 2.18605e14 | − | 2.18605e14i | 0.159732 | − | 0.159732i | ||||
\(566\) | −6.37906e13 | + | 1.21289e15i | −0.0461601 | + | 0.877671i | ||||
\(567\) | − | 2.23965e15i | − | 1.60499i | ||||||
\(568\) | 5.61697e14 | − | 4.07620e14i | 0.398645 | − | 0.289294i | ||||
\(569\) | − | 1.97572e15i | − | 1.38870i | −0.719639 | − | 0.694349i | \(-0.755693\pi\) | ||
0.719639 | − | 0.694349i | \(-0.244307\pi\) | |||||||
\(570\) | −1.32314e13 | − | 6.95889e11i | −0.00921072 | − | 0.000484427i | ||||
\(571\) | −1.21475e15 | + | 1.21475e15i | −0.837506 | + | 0.837506i | −0.988530 | − | 0.151024i | \(-0.951743\pi\) |
0.151024 | + | 0.988530i | \(0.451743\pi\) | |||||||
\(572\) | 2.87296e10 | − | 2.72372e11i | 1.96179e−5 | − | 0.000185988i | ||||
\(573\) | −1.90064e13 | − | 1.90064e13i | −0.0128544 | − | 0.0128544i | ||||
\(574\) | −3.11433e14 | + | 2.80311e14i | −0.208617 | + | 0.187769i | ||||
\(575\) | −1.38059e15 | −0.915990 | ||||||||
\(576\) | 1.44637e15 | + | 4.71736e14i | 0.950511 | + | 0.310010i | ||||
\(577\) | 2.06710e15 | 1.34553 | 0.672767 | − | 0.739855i | \(-0.265106\pi\) | ||||
0.672767 | + | 0.739855i | \(0.265106\pi\) | |||||||
\(578\) | −1.57176e15 | + | 1.41470e15i | −1.01341 | + | 0.912137i | ||||
\(579\) | 2.29801e13 | + | 2.29801e13i | 0.0146764 | + | 0.0146764i | ||||
\(580\) | −4.24600e13 | + | 4.02543e14i | −0.0268612 | + | 0.254658i | ||||
\(581\) | −6.18063e14 | + | 6.18063e14i | −0.387315 | + | 0.387315i | ||||
\(582\) | −4.08904e13 | − | 2.15058e12i | −0.0253831 | − | 0.00133500i | ||||
\(583\) | 6.04432e14i | 0.371681i | ||||||||
\(584\) | 1.19513e15 | − | 8.67293e14i | 0.728019 | − | 0.528318i | ||||
\(585\) | 2.23795e11i | 0.000135050i | ||||||||
\(586\) | 7.23523e13 | − | 1.37568e15i | 0.0432529 | − | 0.822395i | ||||
\(587\) | −1.55286e15 | + | 1.55286e15i | −0.919649 | + | 0.919649i | −0.997004 | − | 0.0773550i | \(-0.975353\pi\) |
0.0773550 | + | 0.997004i | \(0.475353\pi\) | |||||||
\(588\) | 3.04283e13 | − | 2.46217e13i | 0.0178527 | − | 0.0144458i | ||||
\(589\) | 1.14990e15 | + | 1.14990e15i | 0.668385 | + | 0.668385i | ||||
\(590\) | 7.46853e14 | + | 8.29774e14i | 0.430080 | + | 0.477830i | ||||
\(591\) | −3.12932e13 | −0.0178533 | ||||||||
\(592\) | 2.21504e15 | − | 1.43613e15i | 1.25203 | − | 0.811754i | ||||
\(593\) | 7.38350e13 | 0.0413487 | 0.0206743 | − | 0.999786i | \(-0.493419\pi\) | ||||
0.0206743 | + | 0.999786i | \(0.493419\pi\) | |||||||
\(594\) | 2.19486e13 | + | 2.43854e13i | 0.0121781 | + | 0.0135302i | ||||
\(595\) | −1.43586e15 | − | 1.43586e15i | −0.789349 | − | 0.789349i | ||||
\(596\) | −1.11002e15 | − | 1.37180e15i | −0.604610 | − | 0.747197i | ||||
\(597\) | 9.56245e12 | − | 9.56245e12i | 0.00516072 | − | 0.00516072i | ||||
\(598\) | −3.37848e10 | + | 6.42372e11i | −1.80661e−5 | + | 0.000343503i | ||||
\(599\) | 7.76586e12i | 0.00411474i | 0.999998 | + | 0.00205737i | \(0.000654881\pi\) | ||||
−0.999998 | + | 0.00205737i | \(0.999345\pi\) | |||||||
\(600\) | 2.17625e13 | + | 3.45926e12i | 0.0114255 | + | 0.00181615i | ||||
\(601\) | 2.17882e15i | 1.13348i | 0.823898 | + | 0.566738i | \(0.191795\pi\) | ||||
−0.823898 | + | 0.566738i | \(0.808205\pi\) | |||||||
\(602\) | 2.54844e15 | + | 1.34032e14i | 1.31370 | + | 0.0690923i | ||||
\(603\) | 2.54744e15 | − | 2.54744e15i | 1.30124 | − | 1.30124i | ||||
\(604\) | −1.39774e15 | − | 1.47433e14i | −0.707494 | − | 0.0746261i | ||||
\(605\) | 3.87621e14 | + | 3.87621e14i | 0.194425 | + | 0.194425i | ||||
\(606\) | 3.34273e13 | − | 3.00869e13i | 0.0166151 | − | 0.0149547i | ||||
\(607\) | 2.72034e14 | 0.133994 | 0.0669971 | − | 0.997753i | \(-0.478658\pi\) | ||||
0.0669971 | + | 0.997753i | \(0.478658\pi\) | |||||||
\(608\) | −2.77540e15 | − | 7.46427e14i | −1.35474 | − | 0.364349i | ||||
\(609\) | −2.73435e13 | −0.0132269 | ||||||||
\(610\) | 2.29067e14 | − | 2.06176e14i | 0.109812 | − | 0.0988379i | ||||
\(611\) | −1.30721e11 | − | 1.30721e11i | −6.21039e−5 | − | 6.21039e-5i | ||||
\(612\) | 3.24647e15 | + | 3.42436e14i | 1.52855 | + | 0.161230i | ||||
\(613\) | −8.56076e14 | + | 8.56076e14i | −0.399466 | + | 0.399466i | −0.878045 | − | 0.478579i | \(-0.841152\pi\) |
0.478579 | + | 0.878045i | \(0.341152\pi\) | |||||||
\(614\) | 1.14941e15 | + | 6.04518e13i | 0.531555 | + | 0.0279565i | ||||
\(615\) | 2.50692e12i | 0.00114902i | ||||||||
\(616\) | 3.47426e14 | − | 2.18569e15i | 0.157823 | − | 0.992875i | ||||
\(617\) | 1.51170e15i | 0.680607i | 0.940316 | + | 0.340304i | \(0.110530\pi\) | ||||
−0.940316 | + | 0.340304i | \(0.889470\pi\) | |||||||
\(618\) | −9.96395e10 | + | 1.89451e12i | −4.44626e−5 | + | 0.000845396i | ||||
\(619\) | −1.60958e15 | + | 1.60958e15i | −0.711892 | + | 0.711892i | −0.966931 | − | 0.255038i | \(-0.917912\pi\) |
0.255038 | + | 0.966931i | \(0.417912\pi\) | |||||||
\(620\) | 4.37129e14 | + | 5.40220e14i | 0.191627 | + | 0.236819i | ||||
\(621\) | −5.44868e13 | − | 5.44868e13i | −0.0236749 | − | 0.0236749i | ||||
\(622\) | −2.66346e14 | − | 2.95917e14i | −0.114709 | − | 0.127445i | ||||
\(623\) | −3.94113e15 | −1.68243 | ||||||||
\(624\) | 2.14211e9 | − | 1.00412e10i | 9.06414e−7 | − | 4.24884e-6i | ||||
\(625\) | −1.02169e15 | −0.428527 | ||||||||
\(626\) | 1.77661e15 | + | 1.97386e15i | 0.738641 | + | 0.820651i | ||||
\(627\) | −2.19105e13 | − | 2.19105e13i | −0.00902985 | − | 0.00902985i | ||||
\(628\) | 3.39808e15 | − | 2.74962e15i | 1.38821 | − | 1.12330i | ||||
\(629\) | 4.00543e15 | − | 4.00543e15i | 1.62207 | − | 1.62207i | ||||
\(630\) | −9.49789e13 | + | 1.80589e15i | −0.0381289 | + | 0.724969i | ||||
\(631\) | − | 7.27946e14i | − | 0.289693i | −0.989454 | − | 0.144846i | \(-0.953731\pi\) | ||
0.989454 | − | 0.144846i | \(-0.0462688\pi\) | |||||||
\(632\) | 3.30284e14 | + | 4.55129e14i | 0.130300 | + | 0.179552i | ||||
\(633\) | 1.15513e12i | 0.000451762i | ||||||||
\(634\) | 2.06015e15 | + | 1.08351e14i | 0.798744 | + | 0.0420090i | ||||
\(635\) | −1.50836e15 | + | 1.50836e15i | −0.579761 | + | 0.579761i | ||||
\(636\) | −2.37682e12 | + | 2.25335e13i | −0.000905696 | + | 0.00858647i | ||||
\(637\) | 8.83148e11 | + | 8.83148e11i | 0.000333631 | + | 0.000333631i | ||||
\(638\) | −7.03594e14 | + | 6.33283e14i | −0.263517 | + | 0.237183i | ||||
\(639\) | −1.32622e15 | −0.492449 | ||||||||
\(640\) | −1.14601e15 | − | 4.41619e14i | −0.421888 | − | 0.162576i | ||||
\(641\) | −1.21415e15 | −0.443153 | −0.221576 | − | 0.975143i | \(-0.571120\pi\) | ||||
−0.221576 | + | 0.975143i | \(0.571120\pi\) | |||||||
\(642\) | −3.23163e13 | + | 2.90869e13i | −0.0116944 | + | 0.0105258i | ||||
\(643\) | 2.15423e15 | + | 2.15423e15i | 0.772916 | + | 0.772916i | 0.978615 | − | 0.205699i | \(-0.0659469\pi\) |
−0.205699 | + | 0.978615i | \(0.565947\pi\) | |||||||
\(644\) | −5.45247e14 | + | 5.16923e15i | −0.193964 | + | 1.83888i | ||||
\(645\) | 1.07965e13 | − | 1.07965e13i | 0.00380806 | − | 0.00380806i | ||||
\(646\) | −6.15846e15 | − | 3.23897e14i | −2.15374 | − | 0.113274i | ||||
\(647\) | 3.90532e14i | 0.135420i | 0.997705 | + | 0.0677101i | \(0.0215693\pi\) | ||||
−0.997705 | + | 0.0677101i | \(0.978431\pi\) | |||||||
\(648\) | −1.70715e15 | − | 2.35245e15i | −0.586962 | − | 0.808831i | ||||
\(649\) | 2.61081e15i | 0.890081i | ||||||||
\(650\) | −3.69288e10 | + | 7.02151e11i | −1.24837e−5 | + | 0.000237360i | ||||
\(651\) | −3.31942e13 | + | 3.31942e13i | −0.0111267 | + | 0.0111267i | ||||
\(652\) | 2.61966e15 | − | 2.11975e15i | 0.870728 | − | 0.704567i | ||||
\(653\) | 1.73093e15 | + | 1.73093e15i | 0.570501 | + | 0.570501i | 0.932268 | − | 0.361767i | \(-0.117826\pi\) |
−0.361767 | + | 0.932268i | \(0.617826\pi\) | |||||||
\(654\) | 2.66669e13 | + | 2.96276e13i | 0.00871555 | + | 0.00968321i | ||||
\(655\) | 6.21113e14 | 0.201300 | ||||||||
\(656\) | −1.13453e14 | + | 5.31815e14i | −0.0364625 | + | 0.170919i | ||||
\(657\) | −2.82181e15 | −0.899327 | ||||||||
\(658\) | −9.99364e14 | − | 1.11032e15i | −0.315850 | − | 0.350918i | ||||
\(659\) | −1.30838e15 | − | 1.30838e15i | −0.410074 | − | 0.410074i | 0.471690 | − | 0.881764i | \(-0.343644\pi\) |
−0.881764 | + | 0.471690i | \(0.843644\pi\) | |||||||
\(660\) | −8.32916e12 | − | 1.02935e13i | −0.00258887 | − | 0.00319941i | ||||
\(661\) | 5.59792e14 | − | 5.59792e14i | 0.172551 | − | 0.172551i | −0.615548 | − | 0.788099i | \(-0.711065\pi\) |
0.788099 | + | 0.615548i | \(0.211065\pi\) | |||||||
\(662\) | 1.27077e14 | − | 2.41619e15i | 0.0388461 | − | 0.738605i | ||||
\(663\) | − | 2.20309e10i | − | 6.67893e-6i | ||||||
\(664\) | −1.78078e14 | + | 1.12030e15i | −0.0535409 | + | 0.336831i | ||||
\(665\) | − | 3.41626e15i | − | 1.01867i | ||||||
\(666\) | −5.03766e15 | − | 2.64950e14i | −1.48978 | − | 0.0783530i | ||||
\(667\) | 1.57211e15 | − | 1.57211e15i | 0.461095 | − | 0.461095i | ||||
\(668\) | −3.38381e15 | − | 3.56922e14i | −0.984317 | − | 0.103825i | ||||
\(669\) | −7.44027e12 | − | 7.44027e12i | −0.00214657 | − | 0.00214657i | ||||
\(670\) | −2.16165e15 | + | 1.94563e15i | −0.618548 | + | 0.556735i | ||||
\(671\) | 7.20739e14 | 0.204552 | ||||||||
\(672\) | 2.15471e13 | − | 8.01174e13i | 0.00606537 | − | 0.0225526i | ||||
\(673\) | −1.85001e15 | −0.516525 | −0.258262 | − | 0.966075i | \(-0.583150\pi\) | ||||
−0.258262 | + | 0.966075i | \(0.583150\pi\) | |||||||
\(674\) | 3.86015e15 | − | 3.47440e15i | 1.06899 | − | 0.962166i | ||||
\(675\) | −5.95573e13 | − | 5.95573e13i | −0.0163593 | − | 0.0163593i | ||||
\(676\) | −3.65010e15 | − | 3.85010e14i | −0.994483 | − | 0.104897i | ||||
\(677\) | 2.70150e15 | − | 2.70150e15i | 0.730073 | − | 0.730073i | −0.240561 | − | 0.970634i | \(-0.577331\pi\) |
0.970634 | + | 0.240561i | \(0.0773313\pi\) | |||||||
\(678\) | 2.70658e13 | + | 1.42349e12i | 0.00725534 | + | 0.000381586i | ||||
\(679\) | − | 1.05576e16i | − | 2.80726i | ||||||
\(680\) | −2.60265e15 | − | 4.13704e14i | −0.686462 | − | 0.109117i | ||||
\(681\) | 4.18345e13i | 0.0109452i | ||||||||
\(682\) | −8.53560e13 | + | 1.62293e15i | −0.0221524 | + | 0.421197i | ||||
\(683\) | −1.32278e15 | + | 1.32278e15i | −0.340545 | + | 0.340545i | −0.856572 | − | 0.516027i | \(-0.827410\pi\) |
0.516027 | + | 0.856572i | \(0.327410\pi\) | |||||||
\(684\) | 3.45470e15 | + | 4.26943e15i | 0.882269 | + | 1.09034i | ||||
\(685\) | −1.65484e13 | − | 1.65484e13i | −0.00419236 | − | 0.00419236i | ||||
\(686\) | 2.47651e15 | + | 2.75147e15i | 0.622383 | + | 0.691484i | ||||
\(687\) | 6.48807e13 | 0.0161753 | ||||||||
\(688\) | 2.77896e15 | − | 1.80175e15i | 0.687299 | − | 0.445612i | ||||
\(689\) | −7.22995e11 | −0.000177390 | ||||||||
\(690\) | 2.08052e13 | + | 2.31151e13i | 0.00506409 | + | 0.00562634i | ||||
\(691\) | 5.16356e15 | + | 5.16356e15i | 1.24687 | + | 1.24687i | 0.957096 | + | 0.289772i | \(0.0935794\pi\) |
0.289772 | + | 0.957096i | \(0.406421\pi\) | |||||||
\(692\) | −5.63806e15 | + | 4.56215e15i | −1.35066 | + | 1.09291i | ||||
\(693\) | −2.99047e15 | + | 2.99047e15i | −0.710733 | + | 0.710733i | ||||
\(694\) | −5.06159e13 | + | 9.62392e14i | −0.0119347 | + | 0.226921i | ||||
\(695\) | 2.43488e14i | 0.0569590i | ||||||||
\(696\) | −2.87206e13 | + | 2.08423e13i | −0.00666565 | + | 0.00483722i | ||||
\(697\) | 1.16683e15i | 0.268675i | ||||||||
\(698\) | 2.15482e15 | + | 1.13330e14i | 0.492273 | + | 0.0258905i | ||||
\(699\) | 1.53613e13 | − | 1.53613e13i | 0.00348180 | − | 0.00348180i | ||||
\(700\) | −5.95988e14 | + | 5.65027e15i | −0.134029 | + | 1.27066i | ||||
\(701\) | −1.42137e15 | − | 1.42137e15i | −0.317146 | − | 0.317146i | 0.530524 | − | 0.847670i | \(-0.321995\pi\) |
−0.847670 | + | 0.530524i | \(0.821995\pi\) | |||||||
\(702\) | −2.91688e10 | + | 2.62539e10i | −6.45750e−6 | + | 5.81219e-6i | ||||
\(703\) | 9.52988e15 | 2.09331 | ||||||||
\(704\) | −1.30110e15 | − | 2.56059e15i | −0.283570 | − | 0.558073i | ||||
\(705\) | −8.93767e12 | −0.00193279 | ||||||||
\(706\) | 5.36040e15 | − | 4.82473e15i | 1.15020 | − | 1.03525i | ||||
\(707\) | 8.19947e15 | + | 8.19947e15i | 1.74574 | + | 1.74574i | ||||
\(708\) | −1.02666e13 | + | 9.73323e13i | −0.00216891 | + | 0.0205624i | ||||
\(709\) | 3.04676e15 | − | 3.04676e15i | 0.638682 | − | 0.638682i | −0.311549 | − | 0.950230i | \(-0.600848\pi\) |
0.950230 | + | 0.311549i | \(0.100848\pi\) | |||||||
\(710\) | 1.06914e15 | + | 5.62304e13i | 0.222390 | + | 0.0116963i | ||||
\(711\) | − | 1.07460e15i | − | 0.221802i | ||||||
\(712\) | −4.13962e15 | + | 3.00409e15i | −0.847852 | + | 0.615280i | ||||
\(713\) | − | 3.81699e15i | − | 0.775761i | ||||||
\(714\) | 9.34993e12 | − | 1.77776e14i | 0.00188568 | − | 0.0358537i | ||||
\(715\) | 2.98756e11 | − | 2.98756e11i | 5.97907e−5 | − | 5.97907e-5i | ||||
\(716\) | 4.69663e15 | − | 3.80037e15i | 0.932748 | − | 0.754752i | ||||
\(717\) | 6.78192e13 | + | 6.78192e13i | 0.0133659 | + | 0.0133659i | ||||
\(718\) | −2.88803e15 | − | 3.20868e15i | −0.564830 | − | 0.627541i | ||||
\(719\) | −6.32346e15 | −1.22729 | −0.613643 | − | 0.789583i | \(-0.710297\pi\) | ||||
−0.613643 | + | 0.789583i | \(0.710297\pi\) | |||||||
\(720\) | 1.27676e15 | + | 1.96924e15i | 0.245913 | + | 0.379289i | ||||
\(721\) | −4.89150e14 | −0.0934971 | ||||||||
\(722\) | −3.41415e15 | − | 3.79322e15i | −0.647632 | − | 0.719537i | ||||
\(723\) | −1.29942e13 | − | 1.29942e13i | −0.00244617 | − | 0.00244617i | ||||
\(724\) | 3.47756e15 | + | 4.29769e15i | 0.649699 | + | 0.802921i | ||||
\(725\) | 1.71841e15 | − | 1.71841e15i | 0.318616 | − | 0.318616i | ||||
\(726\) | −2.52408e12 | + | 4.79919e13i | −0.000464464 | + | 0.00883114i | ||||
\(727\) | 5.66978e15i | 1.03544i | 0.855549 | + | 0.517722i | \(0.173220\pi\) | ||||
−0.855549 | + | 0.517722i | \(0.826780\pi\) | |||||||
\(728\) | 2.61443e12 | + | 4.15576e11i | 0.000473864 | + | 7.53231e-5i | ||||
\(729\) | 5.55201e15i | 0.998731i | ||||||||
\(730\) | 2.27482e15 | + | 1.19642e14i | 0.406136 | + | 0.0213603i | ||||
\(731\) | 5.02515e15 | − | 5.02515e15i | 0.890437 | − | 0.890437i | ||||
\(732\) | 2.68695e13 | + | 2.83418e12i | 0.00472551 | + | 0.000498444i | ||||
\(733\) | 3.73094e14 | + | 3.73094e14i | 0.0651248 | + | 0.0651248i | 0.738919 | − | 0.673794i | \(-0.235337\pi\) |
−0.673794 | + | 0.738919i | \(0.735337\pi\) | |||||||
\(734\) | 1.66884e15 | − | 1.50207e15i | 0.289126 | − | 0.260233i | ||||
\(735\) | 6.03826e13 | 0.0103832 | ||||||||
\(736\) | 3.36749e15 | + | 5.84518e15i | 0.574749 | + | 0.997631i | ||||
\(737\) | −6.80143e15 | −1.15220 | ||||||||
\(738\) | 7.72357e14 | − | 6.95174e14i | 0.129870 | − | 0.116892i | ||||
\(739\) | −6.78605e15 | − | 6.78605e15i | −1.13259 | − | 1.13259i | −0.989745 | − | 0.142845i | \(-0.954375\pi\) |
−0.142845 | − | 0.989745i | \(-0.545625\pi\) | |||||||
\(740\) | 4.04992e15 | + | 4.27183e14i | 0.670922 | + | 0.0707684i | ||||
\(741\) | 2.62084e10 | − | 2.62084e10i | 4.30963e−6 | − | 4.30963e-6i | ||||
\(742\) | −5.83414e15 | − | 3.06840e14i | −0.952260 | − | 0.0500830i | ||||
\(743\) | 5.57329e15i | 0.902970i | 0.892279 | + | 0.451485i | \(0.149106\pi\) | ||||
−0.892279 | + | 0.451485i | \(0.850894\pi\) | |||||||
\(744\) | −9.56400e12 | + | 6.01679e13i | −0.00153811 | + | 0.00967640i | ||||
\(745\) | − | 2.72222e15i | − | 0.434575i | ||||||
\(746\) | −1.90934e14 | + | 3.63036e15i | −0.0302566 | + | 0.575289i | ||||
\(747\) | 1.53280e15 | − | 1.53280e15i | 0.241114 | − | 0.241114i | ||||
\(748\) | −3.87676e15 | − | 4.79103e15i | −0.605354 | − | 0.748118i | ||||
\(749\) | −7.92695e15 | − | 7.92695e15i | −1.22873 | − | 1.22873i | ||||
\(750\) | 5.13258e13 | + | 5.70244e13i | 0.00789767 | + | 0.00877453i | ||||
\(751\) | 2.77591e14 | 0.0424020 | 0.0212010 | − | 0.999775i | \(-0.493251\pi\) | ||||
0.0212010 | + | 0.999775i | \(0.493251\pi\) | |||||||
\(752\) | −1.89603e15 | − | 4.04484e14i | −0.287506 | − | 0.0613343i | ||||
\(753\) | 9.75736e13 | 0.0146879 | ||||||||
\(754\) | −7.57505e11 | − | 8.41608e11i | −0.000113199 | − | 0.000125767i | ||||
\(755\) | −1.53314e15 | − | 1.53314e15i | −0.227443 | − | 0.227443i | ||||
\(756\) | −2.46517e14 | + | 1.99474e14i | −0.0363059 | + | 0.0293776i | ||||
\(757\) | −9.24724e15 | + | 9.24724e15i | −1.35203 | + | 1.35203i | −0.468632 | + | 0.883393i | \(0.655253\pi\) |
−0.883393 | + | 0.468632i | \(0.844747\pi\) | |||||||
\(758\) | 3.73360e14 | − | 7.09893e15i | 0.0541935 | − | 1.03042i | ||||
\(759\) | 7.27297e13i | 0.0104805i | ||||||||
\(760\) | −2.60401e15 | − | 3.58831e15i | −0.372536 | − | 0.513352i | ||||
\(761\) | 4.32114e15i | 0.613738i | 0.951752 | + | 0.306869i | \(0.0992813\pi\) | ||||
−0.951752 | + | 0.306869i | \(0.900719\pi\) | |||||||
\(762\) | −1.86752e14 | − | 9.82201e12i | −0.0263338 | − | 0.00138499i | ||||
\(763\) | −7.26743e15 | + | 7.26743e15i | −1.01741 | + | 1.01741i | ||||
\(764\) | 9.43481e14 | − | 8.94469e15i | 0.131135 | − | 1.24323i | ||||
\(765\) | 3.56095e15 | + | 3.56095e15i | 0.491392 | + | 0.491392i | ||||
\(766\) | 8.83464e15 | − | 7.95178e15i | 1.21040 | − | 1.08945i | ||||
\(767\) | −3.12294e12 | −0.000424804 | ||||||||
\(768\) | −3.84365e13 | − | 1.00576e14i | −0.00519107 | − | 0.0135834i | ||||
\(769\) | −8.23143e15 | −1.10377 | −0.551887 | − | 0.833919i | \(-0.686092\pi\) | ||||
−0.551887 | + | 0.833919i | \(0.686092\pi\) | |||||||
\(770\) | 2.53758e15 | − | 2.28400e15i | 0.337848 | − | 0.304086i | ||||
\(771\) | −1.03150e14 | − | 1.03150e14i | −0.0136354 | − | 0.0136354i | ||||
\(772\) | −1.14073e15 | + | 1.08148e16i | −0.149723 | + | 1.41946i | ||||
\(773\) | 2.26542e15 | − | 2.26542e15i | 0.295230 | − | 0.295230i | −0.543912 | − | 0.839142i | \(-0.683057\pi\) |
0.839142 | + | 0.543912i | \(0.183057\pi\) | |||||||
\(774\) | −6.32017e15 | − | 3.32402e14i | −0.817812 | − | 0.0430119i | ||||
\(775\) | − | 4.17219e15i | − | 0.536049i | ||||||
\(776\) | −8.04747e15 | − | 1.10894e16i | −1.02664 | − | 1.41471i | ||||
\(777\) | 2.75099e14i | 0.0348476i | ||||||||
\(778\) | −2.98430e14 | + | 5.67425e15i | −0.0375366 | + | 0.713708i | ||||
\(779\) | −1.38808e15 | + | 1.38808e15i | −0.173364 | + | 0.173364i | ||||
\(780\) | 1.23126e10 | − | 9.96298e9i | 1.52697e−6 | − | 1.23557e-6i | ||||
\(781\) | 1.77045e15 | + | 1.77045e15i | 0.218023 | + | 0.218023i | ||||
\(782\) | 9.68364e15 | + | 1.07588e16i | 1.18414 | + | 1.31561i | ||||
\(783\) | 1.35639e14 | 0.0164700 | ||||||||
\(784\) | 1.28095e16 | + | 2.73268e15i | 1.54452 | + | 0.329497i | ||||
\(785\) | 6.74322e15 | 0.807392 | ||||||||
\(786\) | 3.64282e13 | + | 4.04728e13i | 0.00433126 | + | 0.00481215i | ||||
\(787\) | −7.53897e15 | − | 7.53897e15i | −0.890125 | − | 0.890125i | 0.104410 | − | 0.994534i | \(-0.466705\pi\) |
−0.994534 | + | 0.104410i | \(0.966705\pi\) | |||||||
\(788\) | −6.58680e15 | − | 8.14020e15i | −0.772290 | − | 0.954423i | ||||
\(789\) | 1.30717e14 | − | 1.30717e14i | 0.0152198 | − | 0.0152198i | ||||
\(790\) | −4.55621e13 | + | 8.66300e14i | −0.00526810 | + | 0.100166i | ||||
\(791\) | 6.98821e15i | 0.802408i | ||||||||
\(792\) | −8.61622e14 | + | 5.42054e15i | −0.0982490 | + | 0.618093i | ||||
\(793\) | 8.62116e11i | 9.76254e-5i | ||||||||
\(794\) | 1.82416e15 | + | 9.59394e13i | 0.205140 | + | 0.0107891i | ||||
\(795\) | −2.47163e13 | + | 2.47163e13i | −0.00276035 | + | 0.00276035i | ||||
\(796\) | 4.50022e15 | + | 4.74680e14i | 0.499128 | + | 0.0526477i | ||||
\(797\) | 9.70983e14 | + | 9.70983e14i | 0.106953 | + | 0.106953i | 0.758558 | − | 0.651606i | \(-0.225904\pi\) |
−0.651606 | + | 0.758558i | \(0.725904\pi\) | |||||||
\(798\) | 2.22609e14 | − | 2.00363e14i | 0.0243516 | − | 0.0219181i | ||||
\(799\) | −4.15998e15 | −0.451943 | ||||||||
\(800\) | 3.68087e15 | + | 6.38913e15i | 0.397151 | + | 0.689361i | ||||
\(801\) | 9.77404e15 | 1.04736 | ||||||||
\(802\) | −8.62091e15 | + | 7.75941e15i | −0.917475 | + | 0.825790i | ||||
\(803\) | 3.76699e15 | + | 3.76699e15i | 0.398161 | + | 0.398161i | ||||
\(804\) | −2.53561e14 | − | 2.67454e13i | −0.0266179 | − | 0.00280764i | ||||
\(805\) | −5.66997e15 | + | 5.66997e15i | −0.591157 | + | 0.591157i | ||||
\(806\) | −1.94127e12 | − | 1.02099e11i | −0.000201022 | − | 1.05725e-5i | ||||
\(807\) | − | 2.16427e14i | − | 0.0222591i | ||||||
\(808\) | 1.48624e16 | + | 2.36245e15i | 1.51819 | + | 0.241324i | ||||
\(809\) | − | 1.29235e16i | − | 1.31118i | −0.755116 | − | 0.655591i | \(-0.772419\pi\) | ||
0.755116 | − | 0.655591i | \(-0.227581\pi\) | |||||||
\(810\) | 2.35499e14 | − | 4.47769e15i | 0.0237313 | − | 0.451218i | ||||
\(811\) | 1.66331e15 | − | 1.66331e15i | 0.166478 | − | 0.166478i | −0.618951 | − | 0.785430i | \(-0.712442\pi\) |
0.785430 | + | 0.618951i | \(0.212442\pi\) | |||||||
\(812\) | −5.75544e15 | − | 7.11277e15i | −0.572164 | − | 0.707100i | ||||
\(813\) | −2.33360e13 | − | 2.33360e13i | −0.00230424 | − | 0.00230424i | ||||
\(814\) | 6.37136e15 | + | 7.07875e15i | 0.624882 | + | 0.694261i | ||||
\(815\) | 5.19851e15 | 0.506421 | ||||||||
\(816\) | −1.25687e14 | − | 1.93857e14i | −0.0121618 | − | 0.0187579i | ||||
\(817\) | 1.19560e16 | 1.14912 | ||||||||
\(818\) | −4.61408e15 | − | 5.12637e15i | −0.440496 | − | 0.489403i | ||||
\(819\) | −3.57706e12 | − | 3.57706e12i | −0.000339207 | − | 0.000339207i | ||||
\(820\) | −6.52116e14 | + | 5.27673e14i | −0.0614255 | + | 0.0497037i | ||||
\(821\) | −1.85833e15 | + | 1.85833e15i | −0.173874 | + | 0.173874i | −0.788679 | − | 0.614805i | \(-0.789235\pi\) |
0.614805 | + | 0.788679i | \(0.289235\pi\) | |||||||
\(822\) | 1.07759e11 | − | 2.04889e12i | 1.00152e−5 | − | 0.000190425i | ||||
\(823\) | 3.78648e15i | 0.349572i | 0.984606 | + | 0.174786i | \(0.0559233\pi\) | ||||
−0.984606 | + | 0.174786i | \(0.944077\pi\) | |||||||
\(824\) | −5.13785e14 | + | 3.72850e14i | −0.0471175 | + | 0.0341928i | ||||
\(825\) | 7.94979e13i | 0.00724200i | ||||||||
\(826\) | −2.52003e16 | − | 1.32538e15i | −2.28042 | − | 0.119936i | ||||
\(827\) | 9.50050e14 | − | 9.50050e14i | 0.0854017 | − | 0.0854017i | −0.663115 | − | 0.748517i | \(-0.730766\pi\) |
0.748517 | + | 0.663115i | \(0.230766\pi\) | |||||||
\(828\) | 1.35222e15 | − | 1.28197e16i | 0.120748 | − | 1.14476i | ||||
\(829\) | 4.90252e15 | + | 4.90252e15i | 0.434880 | + | 0.434880i | 0.890285 | − | 0.455405i | \(-0.150505\pi\) |
−0.455405 | + | 0.890285i | \(0.650505\pi\) | |||||||
\(830\) | −1.30067e15 | + | 1.17069e15i | −0.114614 | + | 0.103160i | ||||
\(831\) | −8.32462e13 | −0.00728717 | ||||||||
\(832\) | 3.06287e12 | − | 1.55632e12i | 0.000266348 | − | 0.000135338i | ||||
\(833\) | 2.81047e16 | 2.42790 | ||||||||
\(834\) | −1.58661e13 | + | 1.42806e13i | −0.00136162 | + | 0.00122555i | ||||
\(835\) | −3.71159e15 | − | 3.71159e15i | −0.316435 | − | 0.316435i | ||||
\(836\) | 1.08764e15 | − | 1.03114e16i | 0.0921191 | − | 0.873337i | ||||
\(837\) | 1.64661e14 | − | 1.64661e14i | 0.0138548 | − | 0.0138548i | ||||
\(838\) | 6.41385e15 | + | 3.37329e14i | 0.536138 | + | 0.0281975i | ||||
\(839\) | − | 8.68913e15i | − | 0.721582i | −0.932647 | − | 0.360791i | \(-0.882507\pi\) | ||
0.932647 | − | 0.360791i | \(-0.117493\pi\) | |||||||
\(840\) | 1.03584e14 | − | 7.51699e13i | 0.00854585 | − | 0.00620166i | ||||
\(841\) | − | 8.28692e15i | − | 0.679228i | ||||||
\(842\) | −9.33998e14 | + | 1.77587e16i | −0.0760553 | + | 1.44609i | ||||
\(843\) | 1.47204e13 | − | 1.47204e13i | 0.00119088 | − | 0.00119088i | ||||
\(844\) | −3.00480e14 | + | 2.43139e14i | −0.0241508 | + | 0.0195421i | ||||
\(845\) | −4.00367e15 | − | 4.00367e15i | −0.319703 | − | 0.319703i | ||||
\(846\) | 2.47843e15 | + | 2.75361e15i | 0.196626 | + | 0.218457i | ||||
\(847\) | −1.23912e16 | −0.976685 | ||||||||
\(848\) | −6.36186e15 | + | 4.12473e15i | −0.498203 | + | 0.323012i | ||||
\(849\) | −1.64261e14 | −0.0127804 | ||||||||
\(850\) | 1.05848e16 | + | 1.17600e16i | 0.818235 | + | 0.909081i | ||||
\(851\) | −1.58167e16 | − | 1.58167e16i | −1.21480 | − | 1.21480i | ||||
\(852\) | 5.90412e13 | + | 7.29651e13i | 0.00450544 | + | 0.00556798i | ||||
\(853\) | 6.96978e15 | − | 6.96978e15i | 0.528444 | − | 0.528444i | −0.391664 | − | 0.920108i | \(-0.628100\pi\) |
0.920108 | + | 0.391664i | \(0.128100\pi\) | |||||||
\(854\) | −3.65883e14 | + | 6.95677e15i | −0.0275628 | + | 0.524070i | ||||
\(855\) | 8.47235e15i | 0.634148i | ||||||||
\(856\) | −1.43684e16 | − | 2.28393e15i | −1.06857 | − | 0.169855i | ||||
\(857\) | 1.21335e16i | 0.896583i | 0.893887 | + | 0.448291i | \(0.147967\pi\) | ||||
−0.893887 | + | 0.448291i | \(0.852033\pi\) | |||||||
\(858\) | 3.69895e10 | + | 1.94542e9i | 2.71580e−6 | + | 1.42834e-7i | ||||
\(859\) | 1.79130e16 | − | 1.79130e16i | 1.30679 | − | 1.30679i | 0.383073 | − | 0.923718i | \(-0.374866\pi\) |
0.923718 | − | 0.383073i | \(-0.125134\pi\) | |||||||
\(860\) | 5.08096e15 | + | 5.35937e14i | 0.368302 | + | 0.0388483i | ||||
\(861\) | −4.00697e13 | − | 4.00697e13i | −0.00288602 | − | 0.00288602i | ||||
\(862\) | −2.54553e15 | + | 2.29115e15i | −0.182175 | + | 0.163970i | ||||
\(863\) | 1.72118e16 | 1.22396 | 0.611981 | − | 0.790872i | \(-0.290373\pi\) | ||||
0.611981 | + | 0.790872i | \(0.290373\pi\) | |||||||
\(864\) | −1.06885e14 | + | 3.97426e14i | −0.00755253 | + | 0.0280822i | ||||
\(865\) | −1.11883e16 | −0.785552 | ||||||||
\(866\) | 9.79136e14 | − | 8.81289e14i | 0.0683116 | − | 0.0614851i | ||||
\(867\) | −2.02227e14 | − | 2.02227e14i | −0.0140196 | − | 0.0140196i | ||||
\(868\) | −1.56216e16 | − | 1.64776e15i | −1.07614 | − | 0.113510i | ||||
\(869\) | −1.43455e15 | + | 1.43455e15i | −0.0981988 | + | 0.0981988i | ||||
\(870\) | −5.46673e13 | − | 2.87516e12i | −0.00371853 | − | 0.000195572i | ||||
\(871\) | − | 8.13557e12i | − | 0.000549906i | ||||||
\(872\) | −2.09391e15 | + | 1.31730e16i | −0.140643 | + | 0.884797i | ||||
\(873\) | 2.61831e16i | 1.74760i | ||||||||
\(874\) | −1.27901e15 | + | 2.43187e16i | −0.0848325 | + | 1.61297i | ||||
\(875\) | −1.39877e16 | + | 1.39877e16i | −0.921936 | + | 0.921936i | ||||
\(876\) | 1.25622e14 | + | 1.55248e14i | 0.00822798 | + | 0.0101684i | ||||
\(877\) | 1.33062e16 | + | 1.33062e16i | 0.866077 | + | 0.866077i | 0.992035 | − | 0.125959i | \(-0.0402007\pi\) |
−0.125959 | + | 0.992035i | \(0.540201\pi\) | |||||||
\(878\) | −1.03165e16 | − | 1.14619e16i | −0.667284 | − | 0.741370i | ||||
\(879\) | 1.86307e14 | 0.0119754 | ||||||||
\(880\) | 9.24428e14 | − | 4.33328e15i | 0.0590498 | − | 0.276797i | ||||
\(881\) | 4.45823e15 | 0.283006 | 0.141503 | − | 0.989938i | \(-0.454807\pi\) | ||||
0.141503 | + | 0.989938i | \(0.454807\pi\) | |||||||
\(882\) | −1.67442e16 | − | 1.86033e16i | −1.05630 | − | 1.17358i | ||||
\(883\) | −1.83650e16 | − | 1.83650e16i | −1.15135 | − | 1.15135i | −0.986282 | − | 0.165067i | \(-0.947216\pi\) |
−0.165067 | − | 0.986282i | \(-0.552784\pi\) | |||||||
\(884\) | 5.73082e12 | − | 4.63720e12i | 0.000357050 | − | 0.000288914i | ||||
\(885\) | −1.06761e14 | + | 1.06761e14i | −0.00661034 | + | 0.00661034i | ||||
\(886\) | 9.50140e14 | − | 1.80656e16i | 0.0584659 | − | 1.11165i | ||||
\(887\) | 2.92053e16i | 1.78600i | 0.450055 | + | 0.893001i | \(0.351405\pi\) | ||||
−0.450055 | + | 0.893001i | \(0.648595\pi\) | |||||||
\(888\) | 2.09691e14 | + | 2.88954e14i | 0.0127441 | + | 0.0175613i | ||||
\(889\) | − | 4.82182e16i | − | 2.91240i | ||||||
\(890\) | −7.87942e15 | − | 4.14409e14i | −0.472987 | − | 0.0248762i | ||||
\(891\) | 7.41482e15 | − | 7.41482e15i | 0.442357 | − | 0.442357i | ||||
\(892\) | 3.69335e14 | − | 3.50149e15i | 0.0218985 | − | 0.207609i | ||||
\(893\) | −4.94879e15 | − | 4.94879e15i | −0.291619 | − | 0.291619i | ||||
\(894\) | 1.77385e14 | − | 1.59658e14i | 0.0103887 | − | 0.00935050i | ||||
\(895\) | 9.32009e15 | 0.542492 | ||||||||
\(896\) | 2.53760e16 | − | 1.12587e16i | 1.46801 | − | 0.651318i | ||||
\(897\) | −8.69961e10 | −5.00197e−6 | ||||||||
\(898\) | 2.28161e15 | − | 2.05361e15i | 0.130383 | − | 0.117354i | ||||
\(899\) | 4.75098e15 | + | 4.75098e15i | 0.269839 | + | 0.269839i | ||||
\(900\) | 1.47806e15 | − | 1.40127e16i | 0.0834367 | − | 0.791023i | ||||
\(901\) | −1.15040e16 | + | 1.15040e16i | −0.645452 | + | 0.645452i | ||||
\(902\) | −1.95909e15 | − | 1.03036e14i | −0.109249 | − | 0.00574583i | ||||
\(903\) | 3.45134e14i | 0.0191296i | ||||||||
\(904\) | 5.32670e15 | + | 7.34016e15i | 0.293449 | + | 0.404370i | ||||
\(905\) | 8.52842e15i | 0.466983i | ||||||||
\(906\) | 9.98336e12 | − | 1.89820e14i | 0.000543340 | − | 0.0103309i | ||||
\(907\) | −1.16249e16 | + | 1.16249e16i | −0.628852 | + | 0.628852i | −0.947779 | − | 0.318928i | \(-0.896677\pi\) |
0.318928 | + | 0.947779i | \(0.396677\pi\) | |||||||
\(908\) | −1.08823e16 | + | 8.80560e15i | −0.585123 | + | 0.473464i | ||||
\(909\) | −2.03348e16 | − | 2.03348e16i | −1.08677 | − | 1.08677i | ||||
\(910\) | 2.73202e12 | + | 3.03534e12i | 0.000145129 | + | 0.000161243i | ||||
\(911\) | −1.60745e16 | −0.848763 | −0.424381 | − | 0.905484i | \(-0.639508\pi\) | ||||
−0.424381 | + | 0.905484i | \(0.639508\pi\) | |||||||
\(912\) | 8.10953e13 | − | 3.80136e14i | 0.00425622 | − | 0.0199511i | ||||
\(913\) | −4.09245e15 | −0.213498 | ||||||||
\(914\) | 4.05466e15 | + | 4.50483e15i | 0.210257 | + | 0.233601i | ||||
\(915\) | 2.94723e13 | + | 2.94723e13i | 0.00151914 | + | 0.00151914i | ||||
\(916\) | 1.36565e16 | + | 1.68772e16i | 0.699705 | + | 0.864720i | ||||
\(917\) | −9.92766e15 | + | 9.92766e15i | −0.505610 | + | 0.505610i | ||||
\(918\) | −4.63808e13 | + | 8.81867e14i | −0.00234803 | + | 0.0446445i | ||||
\(919\) | − | 9.90101e15i | − | 0.498246i | −0.968472 | − | 0.249123i | \(-0.919858\pi\) | ||
0.968472 | − | 0.249123i | \(-0.0801424\pi\) | |||||||
\(920\) | −1.63365e15 | + | 1.02774e16i | −0.0817194 | + | 0.514104i | ||||
\(921\) | 1.55664e14i | 0.00774033i | ||||||||
\(922\) | 2.69561e16 | + | 1.41773e15i | 1.33241 | + | 0.0700765i | ||||
\(923\) | −2.11773e12 | + | 2.11773e12i | −0.000104055 | + | 0.000104055i | ||||
\(924\) | 2.97658e14 | + | 3.13968e13i | 0.0145386 | + | 0.00153352i | ||||
\(925\) | −1.72886e16 | − | 1.72886e16i | −0.839424 | − | 0.839424i | ||||
\(926\) | 1.98281e16 | − | 1.78467e16i | 0.957021 | − | 0.861384i | ||||
\(927\) | 1.21310e15 | 0.0582046 | ||||||||
\(928\) | −1.14670e16 | − | 3.08396e15i | −0.546933 | − | 0.147094i | ||||
\(929\) | −8.35454e15 | −0.396129 | −0.198064 | − | 0.980189i | \(-0.563466\pi\) | ||||
−0.198064 | + | 0.980189i | \(0.563466\pi\) | |||||||
\(930\) | −6.98548e13 | + | 6.28741e13i | −0.00329261 | + | 0.00296357i | ||||
\(931\) | 3.34339e16 | + | 3.34339e16i | 1.56662 | + | 1.56662i | ||||
\(932\) | 7.22923e15 | + | 7.62535e14i | 0.336748 | + | 0.0355200i | ||||
\(933\) | 3.80735e13 | − | 3.80735e13i | 0.00176308 | − | 0.00176308i | ||||
\(934\) | 2.34263e16 | + | 1.23208e15i | 1.07844 | + | 0.0567193i | ||||
\(935\) | − | 9.50742e15i | − | 0.435110i | ||||||
\(936\) | −6.48381e12 | − | 1.03063e12i | −0.000294994 | − | 4.68907e-5i | ||||
\(937\) | 1.76291e15i | 0.0797375i | 0.999205 | + | 0.0398687i | \(0.0126940\pi\) | ||||
−0.999205 | + | 0.0398687i | \(0.987306\pi\) | |||||||
\(938\) | 3.45275e15 | − | 6.56493e16i | 0.155256 | − | 2.95199i | ||||
\(939\) | −2.53962e14 | + | 2.53962e14i | −0.0113529 | + | 0.0113529i | ||||
\(940\) | −1.88126e15 | − | 2.32493e15i | −0.0836076 | − | 0.103325i | ||||
\(941\) | 2.59086e16 | + | 2.59086e16i | 1.14472 | + | 1.14472i | 0.987575 | + | 0.157148i | \(0.0502299\pi\) |
0.157148 | + | 0.987575i | \(0.449770\pi\) | |||||||
\(942\) | 3.95489e14 | + | 4.39399e14i | 0.0173722 | + | 0.0193010i | ||||
\(943\) | 4.60761e15 | 0.201215 | ||||||||
\(944\) | −2.74797e16 | + | 1.78166e16i | −1.19307 | + | 0.773531i | ||||
\(945\) | −4.89194e14 | −0.0211157 | ||||||||
\(946\) | 7.99341e15 | + | 8.88089e15i | 0.343029 | + | 0.381114i | ||||
\(947\) | 6.71626e15 | + | 6.71626e15i | 0.286551 | + | 0.286551i | 0.835715 | − | 0.549164i | \(-0.185054\pi\) |
−0.549164 | + | 0.835715i | \(0.685054\pi\) | |||||||
\(948\) | −5.91218e13 | + | 4.78395e13i | −0.00250785 | + | 0.00202928i | ||||
\(949\) | −4.50590e12 | + | 4.50590e12i | −0.000190028 | + | 0.000190028i | ||||
\(950\) | −1.39804e15 | + | 2.65818e16i | −0.0586191 | + | 1.11456i | ||||
\(951\) | 2.79005e14i | 0.0116310i | ||||||||
\(952\) | 4.82124e16 | − | 3.49874e16i | 1.99828 | − | 1.45013i | ||||
\(953\) | 2.82628e16i | 1.16467i | 0.812948 | + | 0.582337i | \(0.197862\pi\) | ||||
−0.812948 | + | 0.582337i | \(0.802138\pi\) | |||||||
\(954\) | 1.44687e16 | + | 7.60966e14i | 0.592809 | + | 0.0311781i | ||||
\(955\) | 9.81115e15 | − | 9.81115e15i | 0.399670 | − | 0.399670i | ||||
\(956\) | −3.36654e15 | + | 3.19166e16i | −0.136353 | + | 1.29270i | ||||
\(957\) | −9.05262e13 | − | 9.05262e13i | −0.00364551 | − | 0.00364551i | ||||
\(958\) | −1.04691e16 | + | 9.42287e15i | −0.419177 | + | 0.377288i | ||||
\(959\) | 5.29009e14 | 0.0210601 | ||||||||
\(960\) | 5.15030e13 | − | 1.57912e14i | 0.00203864 | − | 0.00625060i | ||||
\(961\) | −1.38734e16 | −0.546014 | ||||||||
\(962\) | −8.46729e12 | + | 7.62114e12i | −0.000331346 | + | 0.000298234i | ||||
\(963\) | 1.96589e16 | + | 1.96589e16i | 0.764918 | + | 0.764918i | ||||
\(964\) | 6.45030e14 | − | 6.11522e15i | 0.0249549 | − | 0.236586i | ||||
\(965\) | −1.18624e16 | + | 1.18624e16i | −0.456322 | + | 0.456322i | ||||
\(966\) | −7.02007e14 | − | 3.69213e13i | −0.0268514 | − | 0.00141222i | ||||
\(967\) | − | 2.49897e16i | − | 0.950419i | −0.879873 | − | 0.475210i | \(-0.842372\pi\) | ||
0.879873 | − | 0.475210i | \(-0.157628\pi\) | |||||||
\(968\) | −1.30153e16 | + | 9.44508e15i | −0.492197 | + | 0.357183i | ||||
\(969\) | − | 8.34037e14i | − | 0.0313621i | ||||||
\(970\) | 1.11013e15 | − | 2.11077e16i | 0.0415079 | − | 0.789216i | ||||
\(971\) | 3.04085e15 | − | 3.04085e15i | 0.113055 | − | 0.113055i | −0.648316 | − | 0.761371i | \(-0.724527\pi\) |
0.761371 | + | 0.648316i | \(0.224527\pi\) | |||||||
\(972\) | 9.17080e14 | − | 7.42074e14i | 0.0339034 | − | 0.0274336i | ||||
\(973\) | −3.89184e15 | − | 3.89184e15i | −0.143065 | − | 0.143065i | ||||
\(974\) | 3.12141e14 | + | 3.46797e14i | 0.0114098 | + | 0.0126766i | ||||
\(975\) | −9.50919e10 | −3.45635e−6 | ||||||||
\(976\) | 4.91842e15 | + | 7.58603e15i | 0.177767 | + | 0.274183i | ||||
\(977\) | −4.17048e16 | −1.49888 | −0.749439 | − | 0.662074i | \(-0.769676\pi\) | ||||
−0.749439 | + | 0.662074i | \(0.769676\pi\) | |||||||
\(978\) | 3.04892e14 | + | 3.38743e14i | 0.0108964 | + | 0.0121062i | ||||
\(979\) | −1.30479e16 | − | 1.30479e16i | −0.463699 | − | 0.463699i | ||||
\(980\) | 1.27097e16 | + | 1.57071e16i | 0.449152 | + | 0.555078i | ||||
\(981\) | 1.80233e16 | − | 1.80233e16i | 0.633367 | − | 0.633367i | ||||
\(982\) | 1.55596e15 | − | 2.95844e16i | 0.0543731 | − | 1.03383i | ||||
\(983\) | 1.27193e16i | 0.441997i | 0.975274 | + | 0.220998i | \(0.0709315\pi\) | ||||
−0.975274 | + | 0.220998i | \(0.929068\pi\) | |||||||
\(984\) | −7.26306e13 | − | 1.15450e13i | −0.00250984 | − | 0.000398952i | ||||
\(985\) | − | 1.61536e16i | − | 0.555098i | ||||||
\(986\) | −2.54445e16 | − | 1.33823e15i | −0.869504 | − | 0.0457306i | ||||
\(987\) | 1.42857e14 | − | 1.42857e14i | 0.00485463 | − | 0.00485463i | ||||
\(988\) | 1.23340e13 | + | 1.30098e12i | 0.000416813 | + | 4.39652e-5i | ||||
\(989\) | −1.98434e16 | − | 1.98434e16i | −0.666864 | − | 0.666864i | ||||
\(990\) | −6.29323e15 | + | 5.66434e15i | −0.210320 | + | 0.189302i | ||||
\(991\) | 3.48521e16 | 1.15831 | 0.579153 | − | 0.815219i | \(-0.303383\pi\) | ||||
0.579153 | + | 0.815219i | \(0.303383\pi\) | |||||||
\(992\) | −1.76644e16 | + | 1.01767e16i | −0.583827 | + | 0.336351i | ||||
\(993\) | 3.27223e14 | 0.0107553 | ||||||||
\(994\) | −1.79876e16 | + | 1.61901e16i | −0.587961 | + | 0.529205i | ||||
\(995\) | 4.93615e15 | + | 4.93615e15i | 0.160458 | + | 0.160458i | ||||
\(996\) | −1.52568e14 | − | 1.60928e13i | −0.00493217 | − | 0.000520243i | ||||
\(997\) | 2.81313e16 | − | 2.81313e16i | 0.904411 | − | 0.904411i | −0.0914030 | − | 0.995814i | \(-0.529135\pi\) |
0.995814 | + | 0.0914030i | \(0.0291351\pi\) | |||||||
\(998\) | −2.44630e16 | − | 1.28661e15i | −0.782155 | − | 0.0411365i | ||||
\(999\) | − | 1.36464e15i | − | 0.0433918i |
(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 | 16.12.e.a.13.5 | yes | 42 | |
4.3 | odd | 2 | 64.12.e.a.17.11 | 42 | |||
8.3 | odd | 2 | 128.12.e.a.33.11 | 42 | |||
8.5 | even | 2 | 128.12.e.b.33.11 | 42 | |||
16.3 | odd | 4 | 128.12.e.a.97.11 | 42 | |||
16.5 | even | 4 | inner | 16.12.e.a.5.5 | ✓ | 42 | |
16.11 | odd | 4 | 64.12.e.a.49.11 | 42 | |||
16.13 | even | 4 | 128.12.e.b.97.11 | 42 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
16.12.e.a.5.5 | ✓ | 42 | 16.5 | even | 4 | inner | |
16.12.e.a.13.5 | yes | 42 | 1.1 | even | 1 | trivial | |
64.12.e.a.17.11 | 42 | 4.3 | odd | 2 | |||
64.12.e.a.49.11 | 42 | 16.11 | odd | 4 | |||
128.12.e.a.33.11 | 42 | 8.3 | odd | 2 | |||
128.12.e.a.97.11 | 42 | 16.3 | odd | 4 | |||
128.12.e.b.33.11 | 42 | 8.5 | even | 2 | |||
128.12.e.b.97.11 | 42 | 16.13 | even | 4 |