Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [17,10,Mod(2,17)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(17, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([7]))
N = Newforms(chi, 10, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("17.2");
S:= CuspForms(chi, 10);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 17 \) |
Weight: | \( k \) | \(=\) | \( 10 \) |
Character orbit: | \([\chi]\) | \(=\) | 17.d (of order \(8\), degree \(4\), 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: | \(8.75560921479\) |
Analytic rank: | \(0\) |
Dimension: | \(52\) |
Relative dimension: | \(13\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 15.13 | ||
Character | \(\chi\) | \(=\) | 17.15 |
Dual form | 17.10.d.a.8.13 |
$q$-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 \(\left(\mathbb{Z}/17\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{3}{8}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 28.7156 | + | 28.7156i | 1.26906 | + | 1.26906i | 0.946573 | + | 0.322490i | \(0.104520\pi\) |
0.322490 | + | 0.946573i | \(0.395480\pi\) | |||||||
\(3\) | 39.4019 | + | 95.1246i | 0.280848 | + | 0.678028i | 0.999856 | − | 0.0169745i | \(-0.00540340\pi\) |
−0.719008 | + | 0.695002i | \(0.755403\pi\) | |||||||
\(4\) | 1137.17i | 2.22104i | ||||||||
\(5\) | 710.947 | − | 294.484i | 0.508713 | − | 0.210716i | −0.113538 | − | 0.993534i | \(-0.536218\pi\) |
0.622251 | + | 0.782818i | \(0.286218\pi\) | |||||||
\(6\) | −1600.11 | + | 3863.01i | −0.504046 | + | 1.21687i | ||||
\(7\) | −1447.96 | − | 599.766i | −0.227938 | − | 0.0944150i | 0.265792 | − | 0.964031i | \(-0.414367\pi\) |
−0.493730 | + | 0.869616i | \(0.664367\pi\) | |||||||
\(8\) | −17952.2 | + | 17952.2i | −1.54958 | + | 1.54958i | ||||
\(9\) | 6421.80 | − | 6421.80i | 0.326261 | − | 0.326261i | ||||
\(10\) | 28871.6 | + | 11959.0i | 0.913000 | + | 0.378177i | ||||
\(11\) | −6518.10 | + | 15736.1i | −0.134231 | + | 0.324063i | −0.976676 | − | 0.214721i | \(-0.931116\pi\) |
0.842444 | + | 0.538784i | \(0.181116\pi\) | |||||||
\(12\) | −108173. | + | 44806.8i | −1.50593 | + | 0.623776i | ||||
\(13\) | − | 141996.i | − | 1.37890i | −0.724334 | − | 0.689449i | \(-0.757853\pi\) | ||
0.724334 | − | 0.689449i | \(-0.242147\pi\) | |||||||
\(14\) | −24356.5 | − | 58801.9i | −0.169449 | − | 0.409086i | ||||
\(15\) | 56025.4 | + | 56025.4i | 0.285742 | + | 0.285742i | ||||
\(16\) | −448786. | −1.71198 | ||||||||
\(17\) | −213765. | + | 269986.i | −0.620750 | + | 0.784009i | ||||
\(18\) | 368812. | 0.828091 | ||||||||
\(19\) | 525945. | + | 525945.i | 0.925869 | + | 0.925869i | 0.997436 | − | 0.0715668i | \(-0.0227999\pi\) |
−0.0715668 | + | 0.997436i | \(0.522800\pi\) | |||||||
\(20\) | 334879. | + | 808470.i | 0.468008 | + | 1.12987i | ||||
\(21\) | − | 161369.i | − | 0.181065i | ||||||
\(22\) | −639042. | + | 264700.i | −0.581604 | + | 0.240908i | ||||
\(23\) | 595280. | − | 1.43713e6i | 0.443553 | − | 1.07083i | −0.531140 | − | 0.847284i | \(-0.678236\pi\) |
0.974693 | − | 0.223548i | \(-0.0717640\pi\) | |||||||
\(24\) | −2.41505e6 | − | 1.00035e6i | −1.48585 | − | 0.615461i | ||||
\(25\) | −962343. | + | 962343.i | −0.492719 | + | 0.492719i | ||||
\(26\) | 4.07751e6 | − | 4.07751e6i | 1.74991 | − | 1.74991i | ||||
\(27\) | 2.73624e6 | + | 1.13339e6i | 0.990871 | + | 0.410432i | ||||
\(28\) | 682038. | − | 1.64659e6i | 0.209700 | − | 0.506260i | ||||
\(29\) | 5.30192e6 | − | 2.19613e6i | 1.39201 | − | 0.576589i | 0.444345 | − | 0.895856i | \(-0.353436\pi\) |
0.947665 | + | 0.319266i | \(0.103436\pi\) | |||||||
\(30\) | 3.21761e6i | 0.725249i | ||||||||
\(31\) | −1.75648e6 | − | 4.24052e6i | −0.341598 | − | 0.824691i | −0.997555 | − | 0.0698922i | \(-0.977734\pi\) |
0.655956 | − | 0.754799i | \(-0.272266\pi\) | |||||||
\(32\) | −3.69563e6 | − | 3.69563e6i | −0.623037 | − | 0.623037i | ||||
\(33\) | −1.75371e6 | −0.257422 | ||||||||
\(34\) | −1.38912e7 | + | 1.61441e6i | −1.78273 | + | 0.207186i | ||||
\(35\) | −1.20605e6 | −0.135850 | ||||||||
\(36\) | 7.30269e6 | + | 7.30269e6i | 0.724639 | + | 0.724639i | ||||
\(37\) | 2.09832e6 | + | 5.06579e6i | 0.184062 | + | 0.444365i | 0.988796 | − | 0.149270i | \(-0.0476924\pi\) |
−0.804735 | + | 0.593635i | \(0.797692\pi\) | |||||||
\(38\) | 3.02057e7i | 2.34997i | ||||||||
\(39\) | 1.35074e7 | − | 5.59493e6i | 0.934931 | − | 0.387261i | ||||
\(40\) | −7.47645e6 | + | 1.80497e7i | −0.461770 | + | 1.11481i | ||||
\(41\) | −1.67370e7 | − | 6.93270e6i | −0.925019 | − | 0.383155i | −0.131232 | − | 0.991352i | \(-0.541893\pi\) |
−0.793787 | + | 0.608196i | \(0.791893\pi\) | |||||||
\(42\) | 4.63381e6 | − | 4.63381e6i | 0.229782 | − | 0.229782i | ||||
\(43\) | −1.97878e7 | + | 1.97878e7i | −0.882650 | + | 0.882650i | −0.993803 | − | 0.111153i | \(-0.964546\pi\) |
0.111153 | + | 0.993803i | \(0.464546\pi\) | |||||||
\(44\) | −1.78946e7 | − | 7.41221e6i | −0.719757 | − | 0.298133i | ||||
\(45\) | 2.67444e6 | − | 6.45667e6i | 0.0972248 | − | 0.234721i | ||||
\(46\) | 5.83620e7 | − | 2.41743e7i | 1.92185 | − | 0.796057i | ||||
\(47\) | − | 2.65154e7i | − | 0.792607i | −0.918119 | − | 0.396304i | \(-0.870293\pi\) | ||
0.918119 | − | 0.396304i | \(-0.129707\pi\) | |||||||
\(48\) | −1.76830e7 | − | 4.26906e7i | −0.480808 | − | 1.16077i | ||||
\(49\) | −2.67974e7 | − | 2.67974e7i | −0.664065 | − | 0.664065i | ||||
\(50\) | −5.52685e7 | −1.25058 | ||||||||
\(51\) | −3.41051e7 | − | 9.69637e6i | −0.705916 | − | 0.200698i | ||||
\(52\) | 1.61474e8 | 3.06259 | ||||||||
\(53\) | −5.36103e7 | − | 5.36103e7i | −0.933268 | − | 0.933268i | 0.0646404 | − | 0.997909i | \(-0.479410\pi\) |
−0.997909 | + | 0.0646404i | \(0.979410\pi\) | |||||||
\(54\) | 4.60269e7 | + | 1.11119e8i | 0.736614 | + | 1.77834i | ||||
\(55\) | 1.31070e7i | 0.193140i | ||||||||
\(56\) | 3.67613e7 | − | 1.52270e7i | 0.499511 | − | 0.206904i | ||||
\(57\) | −2.93071e7 | + | 7.07536e7i | −0.367736 | + | 0.887793i | ||||
\(58\) | 2.15311e8 | + | 8.91848e7i | 2.49828 | + | 1.03482i | ||||
\(59\) | −3.36343e7 | + | 3.36343e7i | −0.361367 | + | 0.361367i | −0.864316 | − | 0.502949i | \(-0.832248\pi\) |
0.502949 | + | 0.864316i | \(0.332248\pi\) | |||||||
\(60\) | −6.37106e7 | + | 6.37106e7i | −0.634645 | + | 0.634645i | ||||
\(61\) | −1.29622e8 | − | 5.36913e7i | −1.19866 | − | 0.496501i | −0.308093 | − | 0.951356i | \(-0.599691\pi\) |
−0.890565 | + | 0.454855i | \(0.849691\pi\) | |||||||
\(62\) | 7.13307e7 | − | 1.72207e8i | 0.613075 | − | 1.48009i | ||||
\(63\) | −1.31501e7 | + | 5.44695e6i | −0.105171 | + | 0.0435633i | ||||
\(64\) | 1.75339e7i | 0.130638i | ||||||||
\(65\) | −4.18157e7 | − | 1.00952e8i | −0.290555 | − | 0.701463i | ||||
\(66\) | −5.03590e7 | − | 5.03590e7i | −0.326685 | − | 0.326685i | ||||
\(67\) | 7.10319e7 | 0.430643 | 0.215321 | − | 0.976543i | \(-0.430920\pi\) | ||||
0.215321 | + | 0.976543i | \(0.430920\pi\) | |||||||
\(68\) | −3.07021e8 | − | 2.43088e8i | −1.74132 | − | 1.37871i | ||||
\(69\) | 1.60162e8 | 0.850625 | ||||||||
\(70\) | −3.46324e7 | − | 3.46324e7i | −0.172402 | − | 0.172402i | ||||
\(71\) | 2.73336e7 | + | 6.59891e7i | 0.127654 | + | 0.308184i | 0.974766 | − | 0.223231i | \(-0.0716605\pi\) |
−0.847112 | + | 0.531415i | \(0.821661\pi\) | |||||||
\(72\) | 2.30571e8i | 1.01113i | ||||||||
\(73\) | 3.14349e8 | − | 1.30208e8i | 1.29556 | − | 0.536640i | 0.374925 | − | 0.927055i | \(-0.377668\pi\) |
0.920639 | + | 0.390415i | \(0.127668\pi\) | |||||||
\(74\) | −8.52128e7 | + | 2.05722e8i | −0.330341 | + | 0.797513i | ||||
\(75\) | −1.29461e8 | − | 5.36244e7i | −0.472457 | − | 0.195698i | ||||
\(76\) | −5.98091e8 | + | 5.98091e8i | −2.05639 | + | 2.05639i | ||||
\(77\) | 1.88759e7 | − | 1.88759e7i | 0.0611928 | − | 0.0611928i | ||||
\(78\) | 5.48534e8 | + | 2.27210e8i | 1.67794 | + | 0.695028i | ||||
\(79\) | 1.22779e8 | − | 2.96415e8i | 0.354652 | − | 0.856206i | −0.641381 | − | 0.767222i | \(-0.721638\pi\) |
0.996033 | − | 0.0889832i | \(-0.0283618\pi\) | |||||||
\(80\) | −3.19063e8 | + | 1.32160e8i | −0.870908 | + | 0.360742i | ||||
\(81\) | 1.26185e8i | 0.325705i | ||||||||
\(82\) | −2.81537e8 | − | 6.79690e8i | −0.687659 | − | 1.66015i | ||||
\(83\) | 2.30965e8 | + | 2.30965e8i | 0.534190 | + | 0.534190i | 0.921816 | − | 0.387627i | \(-0.126705\pi\) |
−0.387627 | + | 0.921816i | \(0.626705\pi\) | |||||||
\(84\) | 1.83505e8 | 0.402152 | ||||||||
\(85\) | −7.24692e7 | + | 2.54896e8i | −0.150580 | + | 0.529637i | ||||
\(86\) | −1.13644e9 | −2.24028 | ||||||||
\(87\) | 4.17812e8 | + | 4.17812e8i | 0.781887 | + | 0.781887i | ||||
\(88\) | −1.65483e8 | − | 3.99512e8i | −0.294159 | − | 0.710163i | ||||
\(89\) | − | 2.75879e8i | − | 0.466084i | −0.972467 | − | 0.233042i | \(-0.925132\pi\) | ||
0.972467 | − | 0.233042i | \(-0.0748679\pi\) | |||||||
\(90\) | 2.62206e8 | − | 1.08609e8i | 0.421261 | − | 0.174492i | ||||
\(91\) | −8.51646e7 | + | 2.05606e8i | −0.130189 | + | 0.314303i | ||||
\(92\) | 1.63427e9 | + | 6.76936e8i | 2.37836 | + | 0.985150i | ||||
\(93\) | 3.34169e8 | − | 3.34169e8i | 0.463226 | − | 0.463226i | ||||
\(94\) | 7.61407e8 | − | 7.61407e8i | 1.00587 | − | 1.00587i | ||||
\(95\) | 5.28802e8 | + | 2.19037e8i | 0.666096 | + | 0.275906i | ||||
\(96\) | 2.05931e8 | − | 4.97161e8i | 0.247457 | − | 0.597415i | ||||
\(97\) | −6.15244e8 | + | 2.54842e8i | −0.705625 | + | 0.292280i | −0.706493 | − | 0.707720i | \(-0.749724\pi\) |
0.000867561 | 1.00000i | \(0.499724\pi\) | ||||||||
\(98\) | − | 1.53901e9i | − | 1.68548i | ||||||
\(99\) | 5.91960e7 | + | 1.42912e8i | 0.0619347 | + | 0.149524i | ||||
\(100\) | −1.09435e9 | − | 1.09435e9i | −1.09435 | − | 1.09435i | ||||
\(101\) | −6.92506e8 | −0.662182 | −0.331091 | − | 0.943599i | \(-0.607417\pi\) | ||||
−0.331091 | + | 0.943599i | \(0.607417\pi\) | |||||||
\(102\) | −7.00911e8 | − | 1.25779e9i | −0.641154 | − | 1.15055i | ||||
\(103\) | −1.77196e9 | −1.55127 | −0.775633 | − | 0.631184i | \(-0.782569\pi\) | ||||
−0.775633 | + | 0.631184i | \(0.782569\pi\) | |||||||
\(104\) | 2.54915e9 | + | 2.54915e9i | 2.13671 | + | 2.13671i | ||||
\(105\) | −4.75206e7 | − | 1.14725e8i | −0.0381531 | − | 0.0921098i | ||||
\(106\) | − | 3.07890e9i | − | 2.36875i | ||||||
\(107\) | 7.14189e8 | − | 2.95827e8i | 0.526727 | − | 0.218178i | −0.103442 | − | 0.994636i | \(-0.532986\pi\) |
0.630169 | + | 0.776458i | \(0.282986\pi\) | |||||||
\(108\) | −1.28886e9 | + | 3.11158e9i | −0.911587 | + | 2.20077i | ||||
\(109\) | 1.95887e9 | + | 8.11389e8i | 1.32919 | + | 0.550567i | 0.930423 | − | 0.366488i | \(-0.119440\pi\) |
0.398762 | + | 0.917054i | \(0.369440\pi\) | |||||||
\(110\) | −3.76376e8 | + | 3.76376e8i | −0.245106 | + | 0.245106i | ||||
\(111\) | −3.99204e8 | + | 3.99204e8i | −0.249598 | + | 0.249598i | ||||
\(112\) | 6.49827e8 | + | 2.69167e8i | 0.390226 | + | 0.161637i | ||||
\(113\) | −8.46924e8 | + | 2.04465e9i | −0.488643 | + | 1.17969i | 0.466761 | + | 0.884384i | \(0.345421\pi\) |
−0.955403 | + | 0.295304i | \(0.904579\pi\) | |||||||
\(114\) | −2.87331e9 | + | 1.19016e9i | −1.59335 | + | 0.659986i | ||||
\(115\) | − | 1.19703e9i | − | 0.638210i | ||||||
\(116\) | 2.49738e9 | + | 6.02920e9i | 1.28063 | + | 3.09171i | ||||
\(117\) | −9.11871e8 | − | 9.11871e8i | −0.449881 | − | 0.449881i | ||||
\(118\) | −1.93166e9 | −0.917196 | ||||||||
\(119\) | 4.71453e8 | − | 2.62721e8i | 0.215515 | − | 0.120097i | ||||
\(120\) | −2.01156e9 | −0.885560 | ||||||||
\(121\) | 1.46218e9 | + | 1.46218e9i | 0.620108 | + | 0.620108i | ||||
\(122\) | −2.18041e9 | − | 5.26396e9i | −0.891083 | − | 2.15126i | ||||
\(123\) | − | 1.86526e9i | − | 0.734797i | ||||||
\(124\) | 4.82220e9 | − | 1.99742e9i | 1.83167 | − | 0.758704i | ||||
\(125\) | −9.75945e8 | + | 2.35614e9i | −0.357545 | + | 0.863189i | ||||
\(126\) | −5.34026e8 | − | 2.21201e8i | −0.188753 | − | 0.0781843i | ||||
\(127\) | 2.50403e8 | − | 2.50403e8i | 0.0854129 | − | 0.0854129i | −0.663110 | − | 0.748522i | \(-0.730764\pi\) |
0.748522 | + | 0.663110i | \(0.230764\pi\) | |||||||
\(128\) | −2.39566e9 | + | 2.39566e9i | −0.788825 | + | 0.788825i | ||||
\(129\) | −2.66198e9 | − | 1.10263e9i | −0.846352 | − | 0.350570i | ||||
\(130\) | 1.69813e9 | − | 4.09966e9i | 0.521467 | − | 1.25893i | ||||
\(131\) | 2.42705e9 | − | 1.00532e9i | 0.720042 | − | 0.298251i | 0.00758938 | − | 0.999971i | \(-0.497584\pi\) |
0.712453 | + | 0.701720i | \(0.247584\pi\) | |||||||
\(132\) | − | 1.99428e9i | − | 0.571746i | ||||||
\(133\) | −4.46106e8 | − | 1.07699e9i | −0.123625 | − | 0.298457i | ||||
\(134\) | 2.03973e9 | + | 2.03973e9i | 0.546512 | + | 0.546512i | ||||
\(135\) | 2.27909e9 | 0.590553 | ||||||||
\(136\) | −1.00929e9 | − | 8.68441e9i | −0.252983 | − | 2.17678i | ||||
\(137\) | −3.91153e9 | −0.948646 | −0.474323 | − | 0.880351i | \(-0.657307\pi\) | ||||
−0.474323 | + | 0.880351i | \(0.657307\pi\) | |||||||
\(138\) | 4.59915e9 | + | 4.59915e9i | 1.07950 | + | 1.07950i | ||||
\(139\) | 1.41398e9 | + | 3.41366e9i | 0.321276 | + | 0.775628i | 0.999180 | + | 0.0404785i | \(0.0128882\pi\) |
−0.677905 | + | 0.735150i | \(0.737112\pi\) | |||||||
\(140\) | − | 1.37149e9i | − | 0.301728i | ||||||
\(141\) | 2.52227e9 | − | 1.04476e9i | 0.537410 | − | 0.222602i | ||||
\(142\) | −1.11002e9 | + | 2.67982e9i | −0.229104 | + | 0.553105i | ||||
\(143\) | 2.23447e9 | + | 9.25546e8i | 0.446850 | + | 0.185091i | ||||
\(144\) | −2.88201e9 | + | 2.88201e9i | −0.558554 | + | 0.558554i | ||||
\(145\) | 3.12266e9 | − | 3.12266e9i | 0.586637 | − | 0.586637i | ||||
\(146\) | 1.27657e10 | + | 5.28773e9i | 2.32518 | + | 0.963122i | ||||
\(147\) | 1.49323e9 | − | 3.60497e9i | 0.263753 | − | 0.636756i | ||||
\(148\) | −5.76069e9 | + | 2.38615e9i | −0.986953 | + | 0.408809i | ||||
\(149\) | 6.36801e9i | 1.05844i | 0.848485 | + | 0.529219i | \(0.177515\pi\) | ||||
−0.848485 | + | 0.529219i | \(0.822485\pi\) | |||||||
\(150\) | −2.17769e9 | − | 5.25740e9i | −0.351224 | − | 0.847930i | ||||
\(151\) | −6.30778e9 | − | 6.30778e9i | −0.987370 | − | 0.987370i | 0.0125508 | − | 0.999921i | \(-0.496005\pi\) |
−0.999921 | + | 0.0125508i | \(0.996005\pi\) | |||||||
\(152\) | −1.88838e10 | −2.86941 | ||||||||
\(153\) | 3.61038e8 | + | 3.10655e9i | 0.0532650 | + | 0.458318i | ||||
\(154\) | 1.08407e9 | 0.155315 | ||||||||
\(155\) | −2.49753e9 | − | 2.49753e9i | −0.347551 | − | 0.347551i | ||||
\(156\) | 6.36240e9 | + | 1.53602e10i | 0.860123 | + | 2.07652i | ||||
\(157\) | 4.57442e9i | 0.600879i | 0.953801 | + | 0.300440i | \(0.0971334\pi\) | ||||
−0.953801 | + | 0.300440i | \(0.902867\pi\) | |||||||
\(158\) | 1.20374e10 | − | 4.98606e9i | 1.53665 | − | 0.636503i | ||||
\(159\) | 2.98731e9 | − | 7.21200e9i | 0.370675 | − | 0.894888i | ||||
\(160\) | −3.71570e9 | − | 1.53909e9i | −0.448230 | − | 0.185663i | ||||
\(161\) | −1.72389e9 | + | 1.72389e9i | −0.202205 | + | 0.202205i | ||||
\(162\) | −3.62347e9 | + | 3.62347e9i | −0.413340 | + | 0.413340i | ||||
\(163\) | 6.10813e9 | + | 2.53007e9i | 0.677741 | + | 0.280730i | 0.694882 | − | 0.719123i | \(-0.255456\pi\) |
−0.0171410 | + | 0.999853i | \(0.505456\pi\) | |||||||
\(164\) | 7.88368e9 | − | 1.90329e10i | 0.851004 | − | 2.05450i | ||||
\(165\) | −1.24680e9 | + | 5.16441e8i | −0.130954 | + | 0.0542429i | ||||
\(166\) | 1.32646e10i | 1.35584i | ||||||||
\(167\) | −4.97675e9 | − | 1.20149e10i | −0.495133 | − | 1.19536i | −0.952076 | − | 0.305861i | \(-0.901056\pi\) |
0.456943 | − | 0.889496i | \(-0.348944\pi\) | |||||||
\(168\) | 2.89694e9 | + | 2.89694e9i | 0.280574 | + | 0.280574i | ||||
\(169\) | −9.55847e9 | −0.901359 | ||||||||
\(170\) | −9.40050e9 | + | 5.23850e9i | −0.863238 | + | 0.481046i | ||||
\(171\) | 6.75503e9 | 0.604150 | ||||||||
\(172\) | −2.25021e10 | − | 2.25021e10i | −1.96040 | − | 1.96040i | ||||
\(173\) | −1.55862e9 | − | 3.76285e9i | −0.132292 | − | 0.319381i | 0.843828 | − | 0.536614i | \(-0.180297\pi\) |
−0.976120 | + | 0.217233i | \(0.930297\pi\) | |||||||
\(174\) | 2.39954e10i | 1.98453i | ||||||||
\(175\) | 1.97062e9 | − | 8.16257e8i | 0.158830 | − | 0.0657894i | ||||
\(176\) | 2.92523e9 | − | 7.06214e9i | 0.229802 | − | 0.554791i | ||||
\(177\) | −4.52471e9 | − | 1.87420e9i | −0.346506 | − | 0.143528i | ||||
\(178\) | 7.92204e9 | − | 7.92204e9i | 0.591489 | − | 0.591489i | ||||
\(179\) | −1.74810e10 | + | 1.74810e10i | −1.27271 | + | 1.27271i | −0.328042 | + | 0.944663i | \(0.606389\pi\) |
−0.944663 | + | 0.328042i | \(0.893611\pi\) | |||||||
\(180\) | 7.34236e9 | + | 3.04130e9i | 0.521326 | + | 0.215940i | ||||
\(181\) | −1.36886e9 | + | 3.30472e9i | −0.0947992 | + | 0.228866i | −0.964165 | − | 0.265304i | \(-0.914528\pi\) |
0.869366 | + | 0.494169i | \(0.164528\pi\) | |||||||
\(182\) | −8.34965e9 | + | 3.45854e9i | −0.564088 | + | 0.233653i | ||||
\(183\) | − | 1.44458e10i | − | 0.952165i | ||||||
\(184\) | 1.51131e10 | + | 3.64863e10i | 0.972018 | + | 2.34666i | ||||
\(185\) | 2.98359e9 | + | 2.98359e9i | 0.187269 | + | 0.187269i | ||||
\(186\) | 1.91917e10 | 1.17573 | ||||||||
\(187\) | −2.85518e9 | − | 5.12362e9i | −0.170744 | − | 0.306401i | ||||
\(188\) | 3.01526e10 | 1.76041 | ||||||||
\(189\) | −3.28221e9 | − | 3.28221e9i | −0.187106 | − | 0.187106i | ||||
\(190\) | 8.89510e9 | + | 2.14747e10i | 0.495176 | + | 1.19546i | ||||
\(191\) | 1.56335e10i | 0.849975i | 0.905199 | + | 0.424988i | \(0.139722\pi\) | ||||
−0.905199 | + | 0.424988i | \(0.860278\pi\) | |||||||
\(192\) | −1.66791e9 | + | 6.90871e8i | −0.0885762 | + | 0.0366895i | ||||
\(193\) | −3.03725e9 | + | 7.33258e9i | −0.157570 | + | 0.380407i | −0.982873 | − | 0.184282i | \(-0.941004\pi\) |
0.825304 | + | 0.564689i | \(0.191004\pi\) | |||||||
\(194\) | −2.49850e10 | − | 1.03491e10i | −1.26640 | − | 0.524562i | ||||
\(195\) | 7.95540e9 | − | 7.95540e9i | 0.394009 | − | 0.394009i | ||||
\(196\) | 3.04733e10 | − | 3.04733e10i | 1.47492 | − | 1.47492i | ||||
\(197\) | −2.45077e10 | − | 1.01514e10i | −1.15932 | − | 0.480207i | −0.281673 | − | 0.959510i | \(-0.590889\pi\) |
−0.877649 | + | 0.479303i | \(0.840889\pi\) | |||||||
\(198\) | −2.40395e9 | + | 5.80365e9i | −0.111156 | + | 0.268354i | ||||
\(199\) | 3.86785e10 | − | 1.60212e10i | 1.74836 | − | 0.724195i | 0.750358 | − | 0.661031i | \(-0.229881\pi\) |
0.998003 | − | 0.0631639i | \(-0.0201191\pi\) | |||||||
\(200\) | − | 3.45524e10i | − | 1.52701i | ||||||
\(201\) | 2.79879e9 | + | 6.75689e9i | 0.120945 | + | 0.291988i | ||||
\(202\) | −1.98857e10 | − | 1.98857e10i | −0.840351 | − | 0.840351i | ||||
\(203\) | −8.99416e9 | −0.371731 | ||||||||
\(204\) | 1.10264e10 | − | 3.87834e10i | 0.445759 | − | 1.56787i | ||||
\(205\) | −1.39407e10 | −0.551305 | ||||||||
\(206\) | −5.08829e10 | − | 5.08829e10i | −1.96866 | − | 1.96866i | ||||
\(207\) | −5.40621e9 | − | 1.30517e10i | −0.204657 | − | 0.494085i | ||||
\(208\) | 6.37260e10i | 2.36065i | ||||||||
\(209\) | −1.17045e10 | + | 4.84816e9i | −0.424320 | + | 0.175759i | ||||
\(210\) | 1.92981e9 | − | 4.65898e9i | 0.0684744 | − | 0.165312i | ||||
\(211\) | 2.32386e10 | + | 9.62576e9i | 0.807123 | + | 0.334321i | 0.747805 | − | 0.663918i | \(-0.231108\pi\) |
0.0593172 | + | 0.998239i | \(0.481108\pi\) | |||||||
\(212\) | 6.09641e10 | − | 6.09641e10i | 2.07283 | − | 2.07283i | ||||
\(213\) | −5.20019e9 | + | 5.20019e9i | −0.173106 | + | 0.173106i | ||||
\(214\) | 2.90032e10 | + | 1.20135e10i | 0.945331 | + | 0.391569i | ||||
\(215\) | −8.24088e9 | + | 1.98952e10i | −0.263027 | + | 0.635003i | ||||
\(216\) | −6.94685e10 | + | 2.87748e10i | −2.17143 | + | 0.899436i | ||||
\(217\) | 7.19360e9i | 0.220230i | ||||||||
\(218\) | 3.29505e10 | + | 7.95496e10i | 0.988116 | + | 2.38552i | ||||
\(219\) | 2.47719e10 | + | 2.47719e10i | 0.727714 | + | 0.727714i | ||||
\(220\) | −1.49049e10 | −0.428971 | ||||||||
\(221\) | 3.83370e10 | + | 3.03539e10i | 1.08107 | + | 0.855951i | ||||
\(222\) | −2.29268e10 | −0.633512 | ||||||||
\(223\) | 2.42424e10 | + | 2.42424e10i | 0.656453 | + | 0.656453i | 0.954539 | − | 0.298086i | \(-0.0963482\pi\) |
−0.298086 | + | 0.954539i | \(0.596348\pi\) | |||||||
\(224\) | 3.13463e9 | + | 7.56766e9i | 0.0831897 | + | 0.200838i | ||||
\(225\) | 1.23599e10i | 0.321510i | ||||||||
\(226\) | −8.30335e10 | + | 3.43936e10i | −2.11722 | + | 0.876980i | ||||
\(227\) | 1.50201e10 | − | 3.62617e10i | 0.375453 | − | 0.906425i | −0.617352 | − | 0.786687i | \(-0.711795\pi\) |
0.992806 | − | 0.119738i | \(-0.0382054\pi\) | |||||||
\(228\) | −8.04592e10 | − | 3.33273e10i | −1.97183 | − | 0.816757i | ||||
\(229\) | 2.26058e10 | − | 2.26058e10i | 0.543202 | − | 0.543202i | −0.381264 | − | 0.924466i | \(-0.624511\pi\) |
0.924466 | + | 0.381264i | \(0.124511\pi\) | |||||||
\(230\) | 3.43733e10 | − | 3.43733e10i | 0.809928 | − | 0.809928i | ||||
\(231\) | 2.53932e9 | + | 1.05182e9i | 0.0586763 | + | 0.0243045i | ||||
\(232\) | −5.57559e10 | + | 1.34607e11i | −1.26356 | + | 3.05050i | ||||
\(233\) | −7.94318e10 | + | 3.29017e10i | −1.76560 | + | 0.731336i | −0.769958 | + | 0.638094i | \(0.779723\pi\) |
−0.995644 | + | 0.0932417i | \(0.970277\pi\) | |||||||
\(234\) | − | 5.23699e10i | − | 1.14185i | ||||||
\(235\) | −7.80837e9 | − | 1.88511e10i | −0.167015 | − | 0.403209i | ||||
\(236\) | −3.82481e10 | − | 3.82481e10i | −0.802612 | − | 0.802612i | ||||
\(237\) | 3.30341e10 | 0.680135 | ||||||||
\(238\) | 2.10822e10 | + | 5.99386e9i | 0.425913 | + | 0.121091i | ||||
\(239\) | 3.27519e10 | 0.649300 | 0.324650 | − | 0.945834i | \(-0.394753\pi\) | ||||
0.324650 | + | 0.945834i | \(0.394753\pi\) | |||||||
\(240\) | −2.51434e10 | − | 2.51434e10i | −0.489186 | − | 0.489186i | ||||
\(241\) | −8.78857e8 | − | 2.12175e9i | −0.0167819 | − | 0.0405151i | 0.915266 | − | 0.402849i | \(-0.131980\pi\) |
−0.932048 | + | 0.362334i | \(0.881980\pi\) | |||||||
\(242\) | 8.39749e10i | 1.57391i | ||||||||
\(243\) | 4.18541e10 | − | 1.73366e10i | 0.770035 | − | 0.318959i | ||||
\(244\) | 6.10563e10 | − | 1.47403e11i | 1.10275 | − | 2.66227i | ||||
\(245\) | −2.69430e10 | − | 1.11601e10i | −0.477747 | − | 0.197889i | ||||
\(246\) | 5.35622e10 | − | 5.35622e10i | 0.932503 | − | 0.932503i | ||||
\(247\) | 7.46823e10 | − | 7.46823e10i | 1.27668 | − | 1.27668i | ||||
\(248\) | 1.07660e11 | + | 4.45940e10i | 1.80726 | + | 0.748590i | ||||
\(249\) | −1.28700e10 | + | 3.10710e10i | −0.212169 | + | 0.512222i | ||||
\(250\) | −9.56828e10 | + | 3.96331e10i | −1.54919 | + | 0.641694i | ||||
\(251\) | 4.29930e10i | 0.683700i | 0.939755 | + | 0.341850i | \(0.111053\pi\) | ||||
−0.939755 | + | 0.341850i | \(0.888947\pi\) | |||||||
\(252\) | −6.19413e9 | − | 1.49540e10i | −0.0967560 | − | 0.233590i | ||||
\(253\) | 1.87347e10 | + | 1.87347e10i | 0.287478 | + | 0.287478i | ||||
\(254\) | 1.43810e10 | 0.216789 | ||||||||
\(255\) | −2.71023e10 | + | 3.14979e9i | −0.401399 | + | 0.0466499i | ||||
\(256\) | −1.28608e11 | −1.87150 | ||||||||
\(257\) | 1.19346e10 | + | 1.19346e10i | 0.170650 | + | 0.170650i | 0.787265 | − | 0.616615i | \(-0.211496\pi\) |
−0.616615 | + | 0.787265i | \(0.711496\pi\) | |||||||
\(258\) | −4.47777e10 | − | 1.08103e11i | −0.629178 | − | 1.51897i | ||||
\(259\) | − | 8.59359e9i | − | 0.118666i | ||||||
\(260\) | 1.14800e11 | − | 4.75517e10i | 1.55798 | − | 0.645336i | ||||
\(261\) | 1.99448e10 | − | 4.81509e10i | 0.266040 | − | 0.642277i | ||||
\(262\) | 9.85626e10 | + | 4.08259e10i | 1.29228 | + | 0.535279i | ||||
\(263\) | −1.33222e10 | + | 1.33222e10i | −0.171702 | + | 0.171702i | −0.787727 | − | 0.616025i | \(-0.788742\pi\) |
0.616025 | + | 0.787727i | \(0.288742\pi\) | |||||||
\(264\) | 3.14831e10 | − | 3.14831e10i | 0.398896 | − | 0.398896i | ||||
\(265\) | −5.39014e10 | − | 2.23267e10i | −0.671419 | − | 0.278111i | ||||
\(266\) | 1.81164e10 | − | 4.37368e10i | 0.221873 | − | 0.535648i | ||||
\(267\) | 2.62429e10 | − | 1.08702e10i | 0.316018 | − | 0.130899i | ||||
\(268\) | 8.07756e10i | 0.956475i | ||||||||
\(269\) | 3.54997e10 | + | 8.57039e10i | 0.413370 | + | 0.997964i | 0.984226 | + | 0.176914i | \(0.0566115\pi\) |
−0.570856 | + | 0.821050i | \(0.693388\pi\) | |||||||
\(270\) | 6.54454e10 | + | 6.54454e10i | 0.749449 | + | 0.749449i | ||||
\(271\) | −1.11257e11 | −1.25304 | −0.626519 | − | 0.779406i | \(-0.715521\pi\) | ||||
−0.626519 | + | 0.779406i | \(0.715521\pi\) | |||||||
\(272\) | 9.59348e10 | − | 1.21166e11i | 1.06271 | − | 1.34221i | ||||
\(273\) | −2.29138e10 | −0.249670 | ||||||||
\(274\) | −1.12322e11 | − | 1.12322e11i | −1.20389 | − | 1.20389i | ||||
\(275\) | −8.87086e9 | − | 2.14161e10i | −0.0935338 | − | 0.225810i | ||||
\(276\) | 1.82132e11i | 1.88927i | ||||||||
\(277\) | −1.15253e11 | + | 4.77393e10i | −1.17623 | + | 0.487211i | −0.883248 | − | 0.468906i | \(-0.844648\pi\) |
−0.292984 | + | 0.956117i | \(0.594648\pi\) | |||||||
\(278\) | −5.74219e10 | + | 1.38629e11i | −0.576602 | + | 1.39204i | ||||
\(279\) | −3.85115e10 | − | 1.59520e10i | −0.380515 | − | 0.157614i | ||||
\(280\) | 2.16513e10 | − | 2.16513e10i | 0.210510 | − | 0.210510i | ||||
\(281\) | −6.11796e10 | + | 6.11796e10i | −0.585367 | + | 0.585367i | −0.936373 | − | 0.351006i | \(-0.885840\pi\) |
0.351006 | + | 0.936373i | \(0.385840\pi\) | |||||||
\(282\) | 1.02429e11 | + | 4.24277e10i | 0.964503 | + | 0.399510i | ||||
\(283\) | 5.17938e10 | − | 1.25041e11i | 0.479997 | − | 1.15882i | −0.479613 | − | 0.877480i | \(-0.659223\pi\) |
0.959610 | − | 0.281335i | \(-0.0907772\pi\) | |||||||
\(284\) | −7.50410e10 | + | 3.10830e10i | −0.684489 | + | 0.283525i | ||||
\(285\) | 5.89326e10i | 0.529119i | ||||||||
\(286\) | 3.75864e10 | + | 9.07417e10i | 0.332188 | + | 0.801973i | ||||
\(287\) | 2.00766e10 | + | 2.00766e10i | 0.174671 | + | 0.174671i | ||||
\(288\) | −4.74652e10 | −0.406545 | ||||||||
\(289\) | −2.71969e10 | − | 1.15427e11i | −0.229339 | − | 0.973347i | ||||
\(290\) | 1.79338e11 | 1.48896 | ||||||||
\(291\) | −4.84836e10 | − | 4.84836e10i | −0.396347 | − | 0.396347i | ||||
\(292\) | 1.48068e11 | + | 3.57469e11i | 1.19190 | + | 2.87750i | ||||
\(293\) | − | 8.66175e10i | − | 0.686596i | −0.939227 | − | 0.343298i | \(-0.888456\pi\) | ||
0.939227 | − | 0.343298i | \(-0.111544\pi\) | |||||||
\(294\) | 1.46398e11 | − | 6.06399e10i | 1.14280 | − | 0.473364i | ||||
\(295\) | −1.40075e10 | + | 3.38170e10i | −0.107686 | + | 0.259978i | ||||
\(296\) | −1.28612e11 | − | 5.32728e10i | −0.973797 | − | 0.403360i | ||||
\(297\) | −3.56702e10 | + | 3.56702e10i | −0.266012 | + | 0.266012i | ||||
\(298\) | −1.82861e11 | + | 1.82861e11i | −1.34323 | + | 1.34323i | ||||
\(299\) | −2.04068e11 | − | 8.45276e10i | −1.47657 | − | 0.611615i | ||||
\(300\) | 6.09802e10 | − | 1.47219e11i | 0.434653 | − | 1.04935i | ||||
\(301\) | 4.05200e10 | − | 1.67839e10i | 0.284525 | − | 0.117854i | ||||
\(302\) | − | 3.62263e11i | − | 2.50607i | ||||||
\(303\) | −2.72861e10 | − | 6.58744e10i | −0.185973 | − | 0.448978i | ||||
\(304\) | −2.36037e11 | − | 2.36037e11i | −1.58507 | − | 1.58507i | ||||
\(305\) | −1.07966e11 | −0.714393 | ||||||||
\(306\) | −7.88390e10 | + | 9.95739e10i | −0.514038 | + | 0.649231i | ||||
\(307\) | 1.77951e11 | 1.14335 | 0.571674 | − | 0.820481i | \(-0.306294\pi\) | ||||
0.571674 | + | 0.820481i | \(0.306294\pi\) | |||||||
\(308\) | 2.14652e10 | + | 2.14652e10i | 0.135912 | + | 0.135912i | ||||
\(309\) | −6.98186e10 | − | 1.68557e11i | −0.435671 | − | 1.05180i | ||||
\(310\) | − | 1.43436e11i | − | 0.882127i | ||||||
\(311\) | 6.62952e10 | − | 2.74604e10i | 0.401847 | − | 0.166450i | −0.172601 | − | 0.984992i | \(-0.555217\pi\) |
0.574447 | + | 0.818542i | \(0.305217\pi\) | |||||||
\(312\) | −1.42046e11 | + | 3.42929e11i | −0.848657 | + | 2.04884i | ||||
\(313\) | 2.45192e11 | + | 1.01562e11i | 1.44397 | + | 0.598111i | 0.960756 | − | 0.277394i | \(-0.0894706\pi\) |
0.483210 | + | 0.875504i | \(0.339471\pi\) | |||||||
\(314\) | −1.31357e11 | + | 1.31357e11i | −0.762554 | + | 0.762554i | ||||
\(315\) | −7.74499e9 | + | 7.74499e9i | −0.0443224 | + | 0.0443224i | ||||
\(316\) | 3.37075e11 | + | 1.39621e11i | 1.90167 | + | 0.787697i | ||||
\(317\) | 2.88724e9 | − | 6.97041e9i | 0.0160589 | − | 0.0387696i | −0.915647 | − | 0.401984i | \(-0.868321\pi\) |
0.931706 | + | 0.363214i | \(0.118321\pi\) | |||||||
\(318\) | 2.92880e11 | − | 1.21315e11i | 1.60608 | − | 0.665260i | ||||
\(319\) | 9.77460e10i | 0.528495i | ||||||||
\(320\) | 5.16347e9 | + | 1.24657e10i | 0.0275275 | + | 0.0664572i | ||||
\(321\) | 5.62808e10 | + | 5.62808e10i | 0.295861 | + | 0.295861i | ||||
\(322\) | −9.90050e10 | −0.513222 | ||||||||
\(323\) | −2.54427e11 | + | 2.95691e10i | −1.30062 | + | 0.151156i | ||||
\(324\) | −1.43494e11 | −0.723404 | ||||||||
\(325\) | 1.36649e11 | + | 1.36649e11i | 0.679410 | + | 0.679410i | ||||
\(326\) | 1.02746e11 | + | 2.48051e11i | 0.503833 | + | 1.21636i | ||||
\(327\) | 2.18307e11i | 1.05585i | ||||||||
\(328\) | 4.24924e11 | − | 1.76009e11i | 2.02712 | − | 0.839660i | ||||
\(329\) | −1.59031e10 | + | 3.83934e10i | −0.0748340 | + | 0.180665i | ||||
\(330\) | −5.06325e10 | − | 2.09727e10i | −0.235026 | − | 0.0973512i | ||||
\(331\) | 1.86346e11 | − | 1.86346e11i | 0.853286 | − | 0.853286i | −0.137250 | − | 0.990536i | \(-0.543826\pi\) |
0.990536 | + | 0.137250i | \(0.0438264\pi\) | |||||||
\(332\) | −2.62648e11 | + | 2.62648e11i | −1.18646 | + | 1.18646i | ||||
\(333\) | 4.60065e10 | + | 1.90565e10i | 0.205031 | + | 0.0849267i | ||||
\(334\) | 2.02106e11 | − | 4.87927e11i | 0.888628 | − | 2.14534i | ||||
\(335\) | 5.05000e10 | − | 2.09178e10i | 0.219073 | − | 0.0907431i | ||||
\(336\) | 7.24202e10i | 0.309980i | ||||||||
\(337\) | −3.54672e10 | − | 8.56254e10i | −0.149793 | − | 0.361633i | 0.831116 | − | 0.556099i | \(-0.187703\pi\) |
−0.980909 | + | 0.194466i | \(0.937703\pi\) | |||||||
\(338\) | −2.74477e11 | − | 2.74477e11i | −1.14388 | − | 1.14388i | ||||
\(339\) | −2.27867e11 | −0.937095 | ||||||||
\(340\) | −2.89861e11 | − | 8.24100e10i | −1.17635 | − | 0.334445i | ||||
\(341\) | 7.81780e10 | 0.313105 | ||||||||
\(342\) | 1.93975e11 | + | 1.93975e11i | 0.766704 | + | 0.766704i | ||||
\(343\) | 4.69323e10 | + | 1.13305e11i | 0.183083 | + | 0.442001i | ||||
\(344\) | − | 7.10469e11i | − | 2.73547i | ||||||
\(345\) | 1.13867e11 | − | 4.71651e10i | 0.432724 | − | 0.179240i | ||||
\(346\) | 6.32957e10 | − | 1.52809e11i | 0.237428 | − | 0.573202i | ||||
\(347\) | 1.53843e11 | + | 6.37240e10i | 0.569635 | + | 0.235950i | 0.648862 | − | 0.760906i | \(-0.275245\pi\) |
−0.0792272 | + | 0.996857i | \(0.525245\pi\) | |||||||
\(348\) | −4.75124e11 | + | 4.75124e11i | −1.73660 | + | 1.73660i | ||||
\(349\) | 1.75870e11 | − | 1.75870e11i | 0.634567 | − | 0.634567i | −0.314643 | − | 0.949210i | \(-0.601885\pi\) |
0.949210 | + | 0.314643i | \(0.101885\pi\) | |||||||
\(350\) | 8.00268e10 | + | 3.31482e10i | 0.285056 | + | 0.118074i | ||||
\(351\) | 1.60937e11 | − | 3.88536e11i | 0.565944 | − | 1.36631i | ||||
\(352\) | 8.22432e10 | − | 3.40663e10i | 0.285534 | − | 0.118272i | ||||
\(353\) | 2.22039e10i | 0.0761102i | 0.999276 | + | 0.0380551i | \(0.0121162\pi\) | ||||
−0.999276 | + | 0.0380551i | \(0.987884\pi\) | |||||||
\(354\) | −7.61112e10 | − | 1.83749e11i | −0.257593 | − | 0.621884i | ||||
\(355\) | 3.88655e10 | + | 3.88655e10i | 0.129878 | + | 0.129878i | ||||
\(356\) | 3.13722e11 | 1.03519 | ||||||||
\(357\) | 4.35674e10 | + | 3.44951e10i | 0.141956 | + | 0.112396i | ||||
\(358\) | −1.00396e12 | −3.23029 | ||||||||
\(359\) | 2.27378e11 | + | 2.27378e11i | 0.722477 | + | 0.722477i | 0.969109 | − | 0.246632i | \(-0.0793240\pi\) |
−0.246632 | + | 0.969109i | \(0.579324\pi\) | |||||||
\(360\) | 6.78995e10 | + | 1.63924e11i | 0.213062 | + | 0.514377i | ||||
\(361\) | 2.30550e11i | 0.714467i | ||||||||
\(362\) | −1.34205e11 | + | 5.55893e10i | −0.410751 | + | 0.170139i | ||||
\(363\) | −8.14768e10 | + | 1.96702e11i | −0.246294 | + | 0.594607i | ||||
\(364\) | −2.33809e11 | − | 9.68470e10i | −0.698080 | − | 0.289154i | ||||
\(365\) | 1.85141e11 | − | 1.85141e11i | 0.545991 | − | 0.545991i | ||||
\(366\) | 4.14821e11 | − | 4.14821e11i | 1.20836 | − | 1.20836i | ||||
\(367\) | 3.55069e10 | + | 1.47075e10i | 0.102168 | + | 0.0423195i | 0.433182 | − | 0.901306i | \(-0.357391\pi\) |
−0.331014 | + | 0.943626i | \(0.607391\pi\) | |||||||
\(368\) | −2.67153e11 | + | 6.44965e11i | −0.759356 | + | 1.83325i | ||||
\(369\) | −1.52002e11 | + | 6.29613e10i | −0.426806 | + | 0.176789i | ||||
\(370\) | 1.71351e11i | 0.475313i | ||||||||
\(371\) | 4.54721e10 | + | 1.09779e11i | 0.124613 | + | 0.300842i | ||||
\(372\) | 3.80008e11 | + | 3.80008e11i | 1.02884 | + | 1.02884i | ||||
\(373\) | −2.79837e11 | −0.748540 | −0.374270 | − | 0.927320i | \(-0.622107\pi\) | ||||
−0.374270 | + | 0.927320i | \(0.622107\pi\) | |||||||
\(374\) | 6.51397e10 | − | 2.29116e11i | 0.172156 | − | 0.605527i | ||||
\(375\) | −2.62581e11 | −0.685682 | ||||||||
\(376\) | 4.76011e11 | + | 4.76011e11i | 1.22821 | + | 1.22821i | ||||
\(377\) | −3.11842e11 | − | 7.52854e11i | −0.795058 | − | 1.91944i | ||||
\(378\) | − | 1.88501e11i | − | 0.474899i | ||||||
\(379\) | −2.03039e11 | + | 8.41013e10i | −0.505478 | + | 0.209376i | −0.620825 | − | 0.783949i | \(-0.713202\pi\) |
0.115347 | + | 0.993325i | \(0.463202\pi\) | |||||||
\(380\) | −2.49083e11 | + | 6.01340e11i | −0.612799 | + | 1.47943i | ||||
\(381\) | 3.36859e10 | + | 1.39532e10i | 0.0819003 | + | 0.0339242i | ||||
\(382\) | −4.48926e11 | + | 4.48926e11i | −1.07867 | + | 1.07867i | ||||
\(383\) | −3.99755e11 | + | 3.99755e11i | −0.949291 | + | 0.949291i | −0.998775 | − | 0.0494839i | \(-0.984242\pi\) |
0.0494839 | + | 0.998775i | \(0.484242\pi\) | |||||||
\(384\) | −3.22280e11 | − | 1.33493e11i | −0.756385 | − | 0.313305i | ||||
\(385\) | 7.86114e9 | − | 1.89785e10i | 0.0182353 | − | 0.0440238i | ||||
\(386\) | −2.97776e11 | + | 1.23343e11i | −0.682727 | + | 0.282795i | ||||
\(387\) | 2.54146e11i | 0.575949i | ||||||||
\(388\) | −2.89800e11 | − | 6.99639e11i | −0.649165 | − | 1.56722i | ||||
\(389\) | 3.65150e11 | + | 3.65150e11i | 0.808533 | + | 0.808533i | 0.984412 | − | 0.175879i | \(-0.0562766\pi\) |
−0.175879 | + | 0.984412i | \(0.556277\pi\) | |||||||
\(390\) | 4.56888e11 | 1.00004 | ||||||||
\(391\) | 2.60755e11 | + | 4.67926e11i | 0.564206 | + | 1.01247i | ||||
\(392\) | 9.62148e11 | 2.05804 | ||||||||
\(393\) | 1.91261e11 | + | 1.91261e11i | 0.404445 | + | 0.404445i | ||||
\(394\) | −4.12249e11 | − | 9.95258e11i | −0.861840 | − | 2.08067i | ||||
\(395\) | − | 2.46892e11i | − | 0.510293i | ||||||
\(396\) | −1.62515e11 | + | 6.73161e10i | −0.332098 | + | 0.137559i | ||||
\(397\) | 9.37139e10 | − | 2.26245e11i | 0.189342 | − | 0.457112i | −0.800491 | − | 0.599344i | \(-0.795428\pi\) |
0.989833 | + | 0.142233i | \(0.0454281\pi\) | |||||||
\(398\) | 1.57074e12 | + | 6.50620e11i | 3.13783 | + | 1.29973i | ||||
\(399\) | 8.48713e10 | − | 8.48713e10i | 0.167642 | − | 0.167642i | ||||
\(400\) | 4.31886e11 | − | 4.31886e11i | 0.843528 | − | 0.843528i | ||||
\(401\) | −4.63444e11 | − | 1.91965e11i | −0.895051 | − | 0.370742i | −0.112736 | − | 0.993625i | \(-0.535961\pi\) |
−0.782315 | + | 0.622883i | \(0.785961\pi\) | |||||||
\(402\) | −1.13659e11 | + | 2.74397e11i | −0.217064 | + | 0.524038i | ||||
\(403\) | −6.02138e11 | + | 2.49414e11i | −1.13716 | + | 0.471029i | ||||
\(404\) | − | 7.87499e11i | − | 1.47073i | ||||||
\(405\) | 3.71594e10 | + | 8.97107e10i | 0.0686311 | + | 0.165690i | ||||
\(406\) | −2.58273e11 | − | 2.58273e11i | −0.471750 | − | 0.471750i | ||||
\(407\) | −9.33928e10 | −0.168709 | ||||||||
\(408\) | 7.86334e11 | − | 4.38191e11i | 1.40487 | − | 0.782875i | ||||
\(409\) | 1.25612e11 | 0.221960 | 0.110980 | − | 0.993823i | \(-0.464601\pi\) | ||||
0.110980 | + | 0.993823i | \(0.464601\pi\) | |||||||
\(410\) | −4.00316e11 | − | 4.00316e11i | −0.699641 | − | 0.699641i | ||||
\(411\) | −1.54122e11 | − | 3.72083e11i | −0.266425 | − | 0.643208i | ||||
\(412\) | − | 2.01503e12i | − | 3.44543i | ||||||
\(413\) | 6.88741e10 | − | 2.85286e10i | 0.116488 | − | 0.0482508i | ||||
\(414\) | 2.19546e11 | − | 5.30031e11i | 0.367303 | − | 0.886747i | ||||
\(415\) | 2.32220e11 | + | 9.61887e10i | 0.384311 | + | 0.159187i | ||||
\(416\) | −5.24766e11 | + | 5.24766e11i | −0.859104 | + | 0.859104i | ||||
\(417\) | −2.69010e11 | + | 2.69010e11i | −0.435668 | + | 0.435668i | ||||
\(418\) | −4.75319e11 | − | 1.96884e11i | −0.761539 | − | 0.315440i | ||||
\(419\) | −2.51859e11 | + | 6.08041e11i | −0.399203 | + | 0.963761i | 0.588652 | + | 0.808386i | \(0.299659\pi\) |
−0.987856 | + | 0.155375i | \(0.950341\pi\) | |||||||
\(420\) | 1.30462e11 | − | 5.40392e10i | 0.204580 | − | 0.0847397i | ||||
\(421\) | − | 2.88370e11i | − | 0.447384i | −0.974660 | − | 0.223692i | \(-0.928189\pi\) | ||
0.974660 | − | 0.223692i | \(-0.0718109\pi\) | |||||||
\(422\) | 3.90902e11 | + | 9.43721e11i | 0.600015 | + | 1.44856i | ||||
\(423\) | −1.70277e11 | − | 1.70277e11i | −0.258597 | − | 0.258597i | ||||
\(424\) | 1.92485e12 | 2.89234 | ||||||||
\(425\) | −5.41037e10 | − | 4.65534e11i | −0.0804408 | − | 0.692152i | ||||
\(426\) | −2.98654e11 | −0.439364 | ||||||||
\(427\) | 1.55486e11 | + | 1.55486e11i | 0.226343 | + | 0.226343i | ||||
\(428\) | 3.36406e11 | + | 8.12156e11i | 0.484582 | + | 1.16988i | ||||
\(429\) | 2.49021e11i | 0.354959i | ||||||||
\(430\) | −8.07946e11 | + | 3.34662e11i | −1.13966 | + | 0.472061i | ||||
\(431\) | 1.22644e11 | − | 2.96089e11i | 0.171198 | − | 0.413309i | −0.814872 | − | 0.579642i | \(-0.803193\pi\) |
0.986070 | + | 0.166333i | \(0.0531926\pi\) | |||||||
\(432\) | −1.22799e12 | − | 5.08649e11i | −1.69636 | − | 0.702654i | ||||
\(433\) | 8.01153e11 | − | 8.01153e11i | 1.09527 | − | 1.09527i | 0.100310 | − | 0.994956i | \(-0.468016\pi\) |
0.994956 | − | 0.100310i | \(-0.0319836\pi\) | |||||||
\(434\) | −2.06569e11 | + | 2.06569e11i | −0.279486 | + | 0.279486i | ||||
\(435\) | 4.20081e11 | + | 1.74003e11i | 0.562512 | + | 0.233000i | ||||
\(436\) | −9.22690e11 | + | 2.22757e12i | −1.22283 | + | 2.95218i | ||||
\(437\) | 1.06894e12 | − | 4.42769e11i | 1.40212 | − | 0.580778i | ||||
\(438\) | 1.42268e12i | 1.84703i | ||||||||
\(439\) | −9.81558e10 | − | 2.36969e11i | −0.126132 | − | 0.304510i | 0.848181 | − | 0.529706i | \(-0.177698\pi\) |
−0.974313 | + | 0.225196i | \(0.927698\pi\) | |||||||
\(440\) | −2.35300e11 | − | 2.35300e11i | −0.299285 | − | 0.299285i | ||||
\(441\) | −3.44175e11 | −0.433317 | ||||||||
\(442\) | 2.29241e11 | + | 1.97250e12i | 0.285688 | + | 2.45820i | ||||
\(443\) | −3.11296e11 | −0.384023 | −0.192011 | − | 0.981393i | \(-0.561501\pi\) | ||||
−0.192011 | + | 0.981393i | \(0.561501\pi\) | |||||||
\(444\) | −4.53964e11 | − | 4.53964e11i | −0.554368 | − | 0.554368i | ||||
\(445\) | −8.12420e10 | − | 1.96136e11i | −0.0982111 | − | 0.237103i | ||||
\(446\) | 1.39227e12i | 1.66616i | ||||||||
\(447\) | −6.05755e11 | + | 2.50912e11i | −0.717651 | + | 0.297261i | ||||
\(448\) | 1.05163e10 | − | 2.53885e10i | 0.0123342 | − | 0.0297774i | ||||
\(449\) | 1.29563e12 | + | 5.36666e11i | 1.50443 | + | 0.623154i | 0.974399 | − | 0.224826i | \(-0.0721812\pi\) |
0.530028 | + | 0.847980i | \(0.322181\pi\) | |||||||
\(450\) | −3.54923e11 | + | 3.54923e11i | −0.408017 | + | 0.408017i | ||||
\(451\) | 2.18187e11 | − | 2.18187e11i | 0.248333 | − | 0.248333i | ||||
\(452\) | −2.32513e12 | − | 9.63099e11i | −2.62014 | − | 1.08530i | ||||
\(453\) | 3.51487e11 | − | 8.48564e11i | 0.392163 | − | 0.946766i | ||||
\(454\) | 1.47259e12 | − | 6.09966e11i | 1.62678 | − | 0.673836i | ||||
\(455\) | 1.71254e11i | 0.187323i | ||||||||
\(456\) | −7.44058e11 | − | 1.79631e12i | −0.805870 | − | 1.94554i | ||||
\(457\) | 6.08257e11 | + | 6.08257e11i | 0.652325 | + | 0.652325i | 0.953552 | − | 0.301227i | \(-0.0973963\pi\) |
−0.301227 | + | 0.953552i | \(0.597396\pi\) | |||||||
\(458\) | 1.29828e12 | 1.37871 | ||||||||
\(459\) | −8.90911e11 | + | 4.96468e11i | −0.936866 | + | 0.522076i | ||||
\(460\) | 1.36123e12 | 1.41749 | ||||||||
\(461\) | −1.01522e12 | − | 1.01522e12i | −1.04690 | − | 1.04690i | −0.998845 | − | 0.0480583i | \(-0.984697\pi\) |
−0.0480583 | − | 0.998845i | \(-0.515303\pi\) | |||||||
\(462\) | 4.27144e10 | + | 1.03122e11i | 0.0436200 | + | 0.105308i | ||||
\(463\) | 1.35035e12i | 1.36563i | 0.730592 | + | 0.682814i | \(0.239244\pi\) | ||||
−0.730592 | + | 0.682814i | \(0.760756\pi\) | |||||||
\(464\) | −2.37943e12 | + | 9.85592e11i | −2.38310 | + | 0.987112i | ||||
\(465\) | 1.39169e11 | − | 3.35984e11i | 0.138040 | − | 0.333258i | ||||
\(466\) | −3.22573e12 | − | 1.33614e12i | −3.16877 | − | 1.31255i | ||||
\(467\) | 1.15975e12 | − | 1.15975e12i | 1.12834 | − | 1.12834i | 0.137893 | − | 0.990447i | \(-0.455967\pi\) |
0.990447 | − | 0.137893i | \(-0.0440329\pi\) | |||||||
\(468\) | 1.03696e12 | − | 1.03696e12i | 0.999203 | − | 0.999203i | ||||
\(469\) | −1.02852e11 | − | 4.26026e10i | −0.0981598 | − | 0.0406591i | ||||
\(470\) | 3.17098e11 | − | 7.65542e11i | 0.299746 | − | 0.723650i | ||||
\(471\) | −4.35140e11 | + | 1.80241e11i | −0.407413 | + | 0.168756i | ||||
\(472\) | − | 1.20762e12i | − | 1.11993i | ||||||
\(473\) | −1.82403e11 | − | 4.40360e11i | −0.167555 | − | 0.404513i | ||||
\(474\) | 9.48594e11 | + | 9.48594e11i | 0.863134 | + | 0.863134i | ||||
\(475\) | −1.01228e12 | −0.912387 | ||||||||
\(476\) | 2.98759e11 | + | 5.36123e11i | 0.266741 | + | 0.478667i | ||||
\(477\) | −6.88548e11 | −0.608978 | ||||||||
\(478\) | 9.40491e11 | + | 9.40491e11i | 0.824003 | + | 0.824003i | ||||
\(479\) | 1.05540e11 | + | 2.54795e11i | 0.0916022 | + | 0.221147i | 0.963040 | − | 0.269359i | \(-0.0868118\pi\) |
−0.871438 | + | 0.490506i | \(0.836812\pi\) | |||||||
\(480\) | − | 4.14098e11i | − | 0.356056i | ||||||
\(481\) | 7.19324e11 | − | 2.97954e11i | 0.612734 | − | 0.253803i | ||||
\(482\) | 3.56904e10 | − | 8.61643e10i | 0.0301189 | − | 0.0727136i | ||||
\(483\) | −2.31909e11 | − | 9.60597e10i | −0.193890 | − | 0.0803118i | ||||
\(484\) | −1.66275e12 | + | 1.66275e12i | −1.37729 | + | 1.37729i | ||||
\(485\) | −3.62359e11 | + | 3.62359e11i | −0.297373 | + | 0.297373i | ||||
\(486\) | 1.69970e12 | + | 7.04038e11i | 1.38200 | + | 0.572444i | ||||
\(487\) | 2.54556e11 | − | 6.14552e11i | 0.205070 | − | 0.495084i | −0.787564 | − | 0.616233i | \(-0.788658\pi\) |
0.992634 | + | 0.121149i | \(0.0386580\pi\) | |||||||
\(488\) | 3.29089e12 | − | 1.36313e12i | 2.62678 | − | 1.08805i | ||||
\(489\) | 6.80723e11i | 0.538370i | ||||||||
\(490\) | −4.53214e11 | − | 1.09415e12i | −0.355157 | − | 0.857425i | ||||
\(491\) | 7.64555e10 | + | 7.64555e10i | 0.0593666 | + | 0.0593666i | 0.736167 | − | 0.676800i | \(-0.236634\pi\) |
−0.676800 | + | 0.736167i | \(0.736634\pi\) | |||||||
\(492\) | 2.12113e12 | 1.63201 | ||||||||
\(493\) | −5.40442e11 | + | 1.90090e12i | −0.412039 | + | 1.44927i | ||||
\(494\) | 4.28910e12 | 3.24037 | ||||||||
\(495\) | 8.41705e10 | + | 8.41705e10i | 0.0630139 | + | 0.0630139i | ||||
\(496\) | 7.88284e11 | + | 1.90309e12i | 0.584811 | + | 1.41186i | ||||
\(497\) | − | 1.11944e11i | − | 0.0822992i | ||||||
\(498\) | −1.26179e12 | + | 5.22652e11i | −0.919298 | + | 0.380786i | ||||
\(499\) | 4.55965e11 | − | 1.10080e12i | 0.329215 | − | 0.794795i | −0.669436 | − | 0.742870i | \(-0.733464\pi\) |
0.998651 | − | 0.0519254i | \(-0.0165358\pi\) | |||||||
\(500\) | −2.67934e12 | − | 1.10982e12i | −1.91718 | − | 0.794121i | ||||
\(501\) | 9.46823e11 | − | 9.46823e11i | 0.671428 | − | 0.671428i | ||||
\(502\) | −1.23457e12 | + | 1.23457e12i | −0.867658 | + | 0.867658i | ||||
\(503\) | −2.43647e12 | − | 1.00922e12i | −1.69709 | − | 0.702958i | −0.697187 | − | 0.716890i | \(-0.745565\pi\) |
−0.999903 | + | 0.0139321i | \(0.995565\pi\) | |||||||
\(504\) | 1.38289e11 | − | 3.33859e11i | 0.0954662 | − | 0.230476i | ||||
\(505\) | −4.92335e11 | + | 2.03932e11i | −0.336860 | + | 0.139532i | ||||
\(506\) | 1.07596e12i | 0.729656i | ||||||||
\(507\) | −3.76622e11 | − | 9.09246e11i | −0.253145 | − | 0.611147i | ||||
\(508\) | 2.84752e11 | + | 2.84752e11i | 0.189705 | + | 0.189705i | ||||
\(509\) | −1.59065e12 | −1.05038 | −0.525189 | − | 0.850986i | \(-0.676005\pi\) | ||||
−0.525189 | + | 0.850986i | \(0.676005\pi\) | |||||||
\(510\) | −8.68708e11 | − | 6.87812e11i | −0.568602 | − | 0.450198i | ||||
\(511\) | −5.33260e11 | −0.345975 | ||||||||
\(512\) | −2.46649e12 | − | 2.46649e12i | −1.58622 | − | 1.58622i | ||||
\(513\) | 8.43013e11 | + | 2.03521e12i | 0.537411 | + | 1.29742i | ||||
\(514\) | 6.85416e11i | 0.433132i | ||||||||
\(515\) | −1.25977e12 | + | 5.21814e11i | −0.789149 | + | 0.326876i | ||||
\(516\) | 1.25388e12 | − | 3.02713e12i | 0.778632 | − | 1.87978i | ||||
\(517\) | 4.17249e11 | + | 1.72830e11i | 0.256855 | + | 0.106393i | ||||
\(518\) | 2.46770e11 | − | 2.46770e11i | 0.150594 | − | 0.150594i | ||||
\(519\) | 2.96527e11 | − | 2.96527e11i | 0.179395 | − | 0.179395i | ||||
\(520\) | 2.56300e12 | + | 1.06163e12i | 1.53721 | + | 0.636733i | ||||
\(521\) | 8.72066e11 | − | 2.10535e12i | 0.518537 | − | 1.25186i | −0.420265 | − | 0.907401i | \(-0.638063\pi\) |
0.938802 | − | 0.344457i | \(-0.111937\pi\) | |||||||
\(522\) | 1.95541e12 | − | 8.09957e11i | 1.15271 | − | 0.477469i | ||||
\(523\) | 4.41293e11i | 0.257910i | 0.991650 | + | 0.128955i | \(0.0411624\pi\) | ||||
−0.991650 | + | 0.128955i | \(0.958838\pi\) | |||||||
\(524\) | 1.14322e12 | + | 2.75998e12i | 0.662428 | + | 1.59924i | ||||
\(525\) | 1.55292e11 | + | 1.55292e11i | 0.0892140 | + | 0.0892140i | ||||
\(526\) | −7.65110e11 | −0.435801 | ||||||||
\(527\) | 1.52035e12 | + | 4.32250e11i | 0.858612 | + | 0.244111i | ||||
\(528\) | 7.87043e11 | 0.440703 | ||||||||
\(529\) | −4.37384e11 | − | 4.37384e11i | −0.242836 | − | 0.242836i | ||||
\(530\) | −9.06688e11 | − | 2.18894e12i | −0.499133 | − | 1.20501i | ||||
\(531\) | 4.31986e11i | 0.235800i | ||||||||
\(532\) | 1.22473e12 | − | 5.07300e11i | 0.662885 | − | 0.274576i | ||||
\(533\) | −9.84417e11 | + | 2.37659e12i | −0.528332 | + | 1.27551i | ||||
\(534\) | 1.06572e12 | + | 4.41438e11i | 0.567165 | + | 0.234927i | ||||
\(535\) | 4.20634e11 | − | 4.20634e11i | 0.221979 | − | 0.221979i | ||||
\(536\) | −1.27518e12 | + | 1.27518e12i | −0.667314 | + | 0.667314i | ||||
\(537\) | −2.35166e12 | − | 9.74089e11i | −1.22037 | − | 0.505492i | ||||
\(538\) | −1.44164e12 | + | 3.48043e12i | −0.741887 | + | 1.79107i | ||||
\(539\) | 5.96355e11 | − | 2.47018e11i | 0.304337 | − | 0.126061i | ||||
\(540\) | 2.59172e12i | 1.31164i | ||||||||
\(541\) | 3.92690e11 | + | 9.48037e11i | 0.197089 | + | 0.475814i | 0.991267 | − | 0.131871i | \(-0.0420984\pi\) |
−0.794178 | + | 0.607685i | \(0.792098\pi\) | |||||||
\(542\) | −3.19480e12 | − | 3.19480e12i | −1.59018 | − | 1.59018i | ||||
\(543\) | −3.68296e11 | −0.181801 | ||||||||
\(544\) | 1.78777e12 | − | 2.07771e11i | 0.875216 | − | 0.101716i | ||||
\(545\) | 1.63159e12 | 0.792186 | ||||||||
\(546\) | −6.57984e11 | − | 6.57984e11i | −0.316846 | − | 0.316846i | ||||
\(547\) | −1.16980e12 | − | 2.82415e12i | −0.558687 | − | 1.34879i | −0.910806 | − | 0.412835i | \(-0.864539\pi\) |
0.352119 | − | 0.935955i | \(-0.385461\pi\) | |||||||
\(548\) | − | 4.44809e12i | − | 2.10698i | ||||||
\(549\) | −1.17720e12 | + | 4.87613e11i | −0.553064 | + | 0.229087i | ||||
\(550\) | 3.60246e11 | − | 8.69710e11i | 0.167867 | − | 0.405268i | ||||
\(551\) | 3.94357e12 | + | 1.63348e12i | 1.82267 | + | 0.754973i | ||||
\(552\) | −2.87526e12 | + | 2.87526e12i | −1.31811 | + | 1.31811i | ||||
\(553\) | −3.55559e11 | + | 3.55559e11i | −0.161677 | + | 0.161677i | ||||
\(554\) | −4.68043e12 | − | 1.93870e12i | −2.11102 | − | 0.874411i | ||||
\(555\) | −1.66254e11 | + | 4.01372e11i | −0.0743795 | + | 0.179568i | ||||
\(556\) | −3.88192e12 | + | 1.60795e12i | −1.72270 | + | 0.713567i | ||||
\(557\) | − | 1.36756e12i | − | 0.602002i | −0.953624 | − | 0.301001i | \(-0.902679\pi\) | ||
0.953624 | − | 0.301001i | \(-0.0973208\pi\) | |||||||
\(558\) | −6.47810e11 | − | 1.56395e12i | −0.282875 | − | 0.682920i | ||||
\(559\) | 2.80979e12 | + | 2.80979e12i | 1.21708 | + | 1.21708i | ||||
\(560\) | 5.41258e11 | 0.232572 | ||||||||
\(561\) | 3.74883e11 | − | 4.73478e11i | 0.159795 | − | 0.201821i | ||||
\(562\) | −3.51362e12 | −1.48573 | ||||||||
\(563\) | −6.60574e11 | − | 6.60574e11i | −0.277098 | − | 0.277098i | 0.554851 | − | 0.831950i | \(-0.312775\pi\) |
−0.831950 | + | 0.554851i | \(0.812775\pi\) | |||||||
\(564\) | 1.18807e12 | + | 2.86826e12i | 0.494409 | + | 1.19361i | ||||
\(565\) | 1.70305e12i | 0.703087i | ||||||||
\(566\) | 5.07793e12 | − | 2.10335e12i | 2.07976 | − | 0.861463i | ||||
\(567\) | 7.56814e10 | − | 1.82711e11i | 0.0307514 | − | 0.0742405i | ||||
\(568\) | −1.67535e12 | − | 6.93953e11i | −0.675365 | − | 0.279745i | ||||
\(569\) | −2.26163e11 | + | 2.26163e11i | −0.0904516 | + | 0.0904516i | −0.750885 | − | 0.660433i | \(-0.770373\pi\) |
0.660433 | + | 0.750885i | \(0.270373\pi\) | |||||||
\(570\) | −1.69229e12 | + | 1.69229e12i | −0.671486 | + | 0.671486i | ||||
\(571\) | 3.88192e12 | + | 1.60795e12i | 1.52822 | + | 0.633007i | 0.979217 | − | 0.202816i | \(-0.0650093\pi\) |
0.548998 | + | 0.835823i | \(0.315009\pi\) | |||||||
\(572\) | −1.05251e12 | + | 2.54097e12i | −0.411095 | + | 0.992472i | ||||
\(573\) | −1.48713e12 | + | 6.15990e11i | −0.576307 | + | 0.238714i | ||||
\(574\) | 1.15302e12i | 0.443338i | ||||||||
\(575\) | 8.10151e11 | + | 1.95588e12i | 0.309073 | + | 0.746167i | ||||
\(576\) | 1.12599e11 | + | 1.12599e11i | 0.0426221 | + | 0.0426221i | ||||
\(577\) | 2.55609e12 | 0.960029 | 0.480014 | − | 0.877261i | \(-0.340631\pi\) | ||||
0.480014 | + | 0.877261i | \(0.340631\pi\) | |||||||
\(578\) | 2.53359e12 | − | 4.09554e12i | 0.944192 | − | 1.52628i | ||||
\(579\) | −8.17183e11 | −0.302180 | ||||||||
\(580\) | 3.55101e12 | + | 3.55101e12i | 1.30294 | + | 1.30294i | ||||
\(581\) | −1.95904e11 | − | 4.72955e11i | −0.0713266 | − | 0.172198i | ||||
\(582\) | − | 2.78447e12i | − | 1.00598i | ||||||
\(583\) | 1.19305e12 | − | 4.94178e11i | 0.427711 | − | 0.177164i | ||||
\(584\) | −3.30575e12 | + | 7.98078e12i | −1.17601 | + | 2.83914i | ||||
\(585\) | −9.16824e11 | − | 3.79761e11i | −0.323657 | − | 0.134063i | ||||
\(586\) | 2.48728e12 | − | 2.48728e12i | 0.871334 | − | 0.871334i | ||||
\(587\) | −8.10598e11 | + | 8.10598e11i | −0.281795 | + | 0.281795i | −0.833825 | − | 0.552029i | \(-0.813854\pi\) |
0.552029 | + | 0.833825i | \(0.313854\pi\) | |||||||
\(588\) | 4.09947e12 | + | 1.69806e12i | 1.41426 | + | 0.585806i | ||||
\(589\) | 1.30647e12 | − | 3.15409e12i | 0.447281 | − | 1.07983i | ||||
\(590\) | −1.37331e12 | + | 5.68844e11i | −0.466589 | + | 0.193268i | ||||
\(591\) | − | 2.73127e12i | − | 0.920918i | ||||||
\(592\) | −9.41698e11 | − | 2.27346e12i | −0.315111 | − | 0.760746i | ||||
\(593\) | 2.15623e12 | + | 2.15623e12i | 0.716060 | + | 0.716060i | 0.967796 | − | 0.251736i | \(-0.0810015\pi\) |
−0.251736 | + | 0.967796i | \(0.581002\pi\) | |||||||
\(594\) | −2.04858e12 | −0.675172 | ||||||||
\(595\) | 2.57811e11 | − | 3.25616e11i | 0.0843286 | − | 0.106507i | ||||
\(596\) | −7.24154e12 | −2.35084 | ||||||||
\(597\) | 3.04802e12 | + | 3.04802e12i | 0.982049 | + | 0.982049i | ||||
\(598\) | −3.43267e12 | − | 8.28719e12i | −1.09768 | − | 2.65004i | ||||
\(599\) | − | 3.29572e12i | − | 1.04599i | −0.852334 | − | 0.522997i | \(-0.824814\pi\) | ||
0.852334 | − | 0.522997i | \(-0.175186\pi\) | |||||||
\(600\) | 3.28679e12 | − | 1.36143e12i | 1.03536 | − | 0.428859i | ||||
\(601\) | −2.94591e11 | + | 7.11206e11i | −0.0921053 | + | 0.222362i | −0.963218 | − | 0.268721i | \(-0.913399\pi\) |
0.871113 | + | 0.491083i | \(0.163399\pi\) | |||||||
\(602\) | 1.64552e12 | + | 6.81596e11i | 0.510644 | + | 0.211516i | ||||
\(603\) | 4.56152e11 | − | 4.56152e11i | 0.140502 | − | 0.140502i | ||||
\(604\) | 7.17304e12 | − | 7.17304e12i | 2.19299 | − | 2.19299i | ||||
\(605\) | 1.47012e12 | + | 6.08945e11i | 0.446123 | + | 0.184790i | ||||
\(606\) | 1.10809e12 | − | 2.67516e12i | 0.333770 | − | 0.805792i | ||||
\(607\) | −1.48401e12 | + | 6.14696e11i | −0.443698 | + | 0.183786i | −0.593335 | − | 0.804955i | \(-0.702189\pi\) |
0.149638 | + | 0.988741i | \(0.452189\pi\) | |||||||
\(608\) | − | 3.88740e12i | − | 1.15370i | ||||||
\(609\) | −3.54387e11 | − | 8.55566e11i | −0.104400 | − | 0.252044i | ||||
\(610\) | −3.10031e12 | − | 3.10031e12i | −0.906610 | − | 0.906610i | ||||
\(611\) | −3.76509e12 | −1.09292 | ||||||||
\(612\) | −3.53268e12 | + | 4.10563e11i | −1.01794 | + | 0.118304i | ||||
\(613\) | −4.16207e12 | −1.19052 | −0.595261 | − | 0.803533i | \(-0.702951\pi\) | ||||
−0.595261 | + | 0.803533i | \(0.702951\pi\) | |||||||
\(614\) | 5.10998e12 | + | 5.10998e12i | 1.45098 | + | 1.45098i | ||||
\(615\) | −5.49290e11 | − | 1.32610e12i | −0.154833 | − | 0.373800i | ||||
\(616\) | 6.77731e11i | 0.189646i | ||||||||
\(617\) | −3.62434e12 | + | 1.50125e12i | −1.00680 | + | 0.417032i | −0.824288 | − | 0.566171i | \(-0.808424\pi\) |
−0.182517 | + | 0.983203i | \(0.558424\pi\) | |||||||
\(618\) | 2.83534e12 | − | 6.84511e12i | 0.781909 | − | 1.88770i | ||||
\(619\) | 9.58001e11 | + | 3.96817e11i | 0.262276 | + | 0.108638i | 0.509947 | − | 0.860206i | \(-0.329665\pi\) |
−0.247671 | + | 0.968844i | \(0.579665\pi\) | |||||||
\(620\) | 2.84012e12 | − | 2.84012e12i | 0.771924 | − | 0.771924i | ||||
\(621\) | 3.25766e12 | − | 3.25766e12i | 0.879009 | − | 0.879009i | ||||
\(622\) | 2.69225e12 | + | 1.11517e12i | 0.721205 | + | 0.298733i | ||||
\(623\) | −1.65463e11 | + | 3.99463e11i | −0.0440053 | + | 0.106238i | ||||
\(624\) | −6.06192e12 | + | 2.51093e12i | −1.60059 | + | 0.662985i | ||||
\(625\) | − | 6.95630e11i | − | 0.182355i | ||||||
\(626\) | 4.12443e12 | + | 9.95726e12i | 1.07344 | + | 2.59152i | ||||
\(627\) | −9.22358e11 | − | 9.22358e11i | −0.238339 | − | 0.238339i | ||||
\(628\) | −5.20190e12 | −1.33458 | ||||||||
\(629\) | −1.81624e12 | − | 5.16373e11i | −0.462642 | − | 0.131533i | ||||
\(630\) | −4.44805e11 | −0.112496 | ||||||||
\(631\) | 3.16412e12 | + | 3.16412e12i | 0.794550 | + | 0.794550i | 0.982230 | − | 0.187680i | \(-0.0600968\pi\) |
−0.187680 | + | 0.982230i | \(0.560097\pi\) | |||||||
\(632\) | 3.11715e12 | + | 7.52547e12i | 0.777197 | + | 1.87632i | ||||
\(633\) | 2.58984e12i | 0.641145i | ||||||||
\(634\) | 2.83069e11 | − | 1.17251e11i | 0.0695809 | − | 0.0288213i | ||||
\(635\) | 1.04284e11 | − | 2.51763e11i | 0.0254528 | − | 0.0614484i | ||||
\(636\) | 8.20130e12 | + | 3.39709e12i | 1.98758 | + | 0.823284i | ||||
\(637\) | −3.80514e12 | + | 3.80514e12i | −0.915678 | + | 0.915678i | ||||
\(638\) | −2.80684e12 | + | 2.80684e12i | −0.670694 | + | 0.670694i | ||||
\(639\) | 5.99299e11 | + | 2.48238e11i | 0.142197 | + | 0.0588998i | ||||
\(640\) | −9.97705e11 | + | 2.40867e12i | −0.235067 | + | 0.567503i | ||||
\(641\) | −6.72575e10 | + | 2.78590e10i | −0.0157355 | + | 0.00651784i | −0.390537 | − | 0.920587i | \(-0.627711\pi\) |
0.374802 | + | 0.927105i | \(0.377711\pi\) | |||||||
\(642\) | 3.23228e12i | 0.750932i | ||||||||
\(643\) | 7.12120e10 | + | 1.71921e11i | 0.0164287 | + | 0.0396625i | 0.931881 | − | 0.362764i | \(-0.118167\pi\) |
−0.915452 | + | 0.402426i | \(0.868167\pi\) | |||||||
\(644\) | −1.96036e12 | − | 1.96036e12i | −0.449106 | − | 0.449106i | ||||
\(645\) | −2.21723e12 | −0.504421 | ||||||||
\(646\) | −8.15511e12 | − | 6.45692e12i | −1.84240 | − | 1.45874i | ||||
\(647\) | 2.89537e12 | 0.649583 | 0.324791 | − | 0.945786i | \(-0.394706\pi\) | ||||
0.324791 | + | 0.945786i | \(0.394706\pi\) | |||||||
\(648\) | −2.26530e12 | − | 2.26530e12i | −0.504705 | − | 0.504705i | ||||
\(649\) | −3.10041e11 | − | 7.48505e11i | −0.0685990 | − | 0.165613i | ||||
\(650\) | 7.84793e12i | 1.72443i | ||||||||
\(651\) | −6.84288e11 | + | 2.83442e11i | −0.149322 | + | 0.0618513i | ||||
\(652\) | −2.87713e12 | + | 6.94600e12i | −0.623512 | + | 1.50529i | ||||
\(653\) | −4.12850e12 | − | 1.71008e12i | −0.888551 | − | 0.368050i | −0.108744 | − | 0.994070i | \(-0.534683\pi\) |
−0.779807 | + | 0.626020i | \(0.784683\pi\) | |||||||
\(654\) | −6.26881e12 | + | 6.26881e12i | −1.33994 | + | 1.33994i | ||||
\(655\) | 1.42946e12 | − | 1.42946e12i | 0.303448 | − | 0.303448i | ||||
\(656\) | 7.51134e12 | + | 3.11130e12i | 1.58362 | + | 0.655956i | ||||
\(657\) | 1.18252e12 | − | 2.85485e12i | 0.247607 | − | 0.597777i | ||||
\(658\) | −1.55916e12 | + | 6.45823e11i | −0.324245 | + | 0.134307i | ||||
\(659\) | − | 4.32558e12i | − | 0.893429i | −0.894677 | − | 0.446714i | \(-0.852594\pi\) | ||
0.894677 | − | 0.446714i | \(-0.147406\pi\) | |||||||
\(660\) | −5.87283e11 | − | 1.41783e12i | −0.120476 | − | 0.290854i | ||||
\(661\) | −2.46897e12 | − | 2.46897e12i | −0.503048 | − | 0.503048i | 0.409336 | − | 0.912384i | \(-0.365760\pi\) |
−0.912384 | + | 0.409336i | \(0.865760\pi\) | |||||||
\(662\) | 1.07021e13 | 2.16575 | ||||||||
\(663\) | −1.37685e12 | + | 4.84279e12i | −0.276742 | + | 0.973386i | ||||
\(664\) | −8.29269e12 | −1.65554 | ||||||||
\(665\) | −6.34316e11 | − | 6.34316e11i | −0.125779 | − | 0.125779i | ||||
\(666\) | 7.73885e11 | + | 1.86832e12i | 0.152420 | + | 0.367975i | ||||
\(667\) | − | 8.92687e12i | − | 1.74636i | ||||||
\(668\) | 1.36631e13 | − | 5.65943e12i | 2.65494 | − | 1.09971i | ||||
\(669\) | −1.35085e12 | + | 3.26125e12i | −0.260730 | + | 0.629457i | ||||
\(670\) | 2.05080e12 | + | 8.49471e11i | 0.393176 | + | 0.162859i | ||||
\(671\) | 1.68978e12 | − | 1.68978e12i | 0.321795 | − | 0.321795i | ||||
\(672\) | −5.96360e11 | + | 5.96360e11i | −0.112810 | + | 0.112810i | ||||
\(673\) | −6.50255e12 | − | 2.69344e12i | −1.22184 | − | 0.506104i | −0.323849 | − | 0.946109i | \(-0.604977\pi\) |
−0.897996 | + | 0.440005i | \(0.854977\pi\) | |||||||
\(674\) | 1.44032e12 | − | 3.47725e12i | 0.268838 | − | 0.649032i | ||||
\(675\) | −3.72391e12 | + | 1.54249e12i | −0.690450 | + | 0.285994i | ||||
\(676\) | − | 1.08696e13i | − | 2.00196i | ||||||
\(677\) | −2.06108e12 | − | 4.97588e12i | −0.377091 | − | 0.910377i | −0.992508 | − | 0.122176i | \(-0.961013\pi\) |
0.615418 | − | 0.788201i | \(-0.288987\pi\) | |||||||
\(678\) | −6.54336e12 | − | 6.54336e12i | −1.18923 | − | 1.18923i | ||||
\(679\) | 1.04370e12 | 0.188434 | ||||||||
\(680\) | −3.27497e12 | − | 5.87694e12i | −0.587378 | − | 1.05405i | ||||
\(681\) | 4.04120e12 | 0.720026 | ||||||||
\(682\) | 2.24493e12 | + | 2.24493e12i | 0.397350 | + | 0.397350i | ||||
\(683\) | 1.36929e12 | + | 3.30576e12i | 0.240770 | + | 0.581269i | 0.997360 | − | 0.0726201i | \(-0.0231361\pi\) |
−0.756590 | + | 0.653890i | \(0.773136\pi\) | |||||||
\(684\) | 7.68164e12i | 1.34184i | ||||||||
\(685\) | −2.78089e12 | + | 1.15188e12i | −0.482588 | + | 0.199894i | ||||
\(686\) | −1.90592e12 | + | 4.60130e12i | −0.328584 | + | 0.793271i | ||||
\(687\) | 3.04109e12 | + | 1.25966e12i | 0.520863 | + | 0.215749i | ||||
\(688\) | 8.88048e12 | − | 8.88048e12i | 1.51108 | − | 1.51108i | ||||
\(689\) | −7.61246e12 | + | 7.61246e12i | −1.28688 | + | 1.28688i | ||||
\(690\) | 4.62413e12 | + | 1.91538e12i | 0.776621 | + | 0.321687i | ||||
\(691\) | 3.58248e12 | − | 8.64886e12i | 0.597767 | − | 1.44314i | −0.278084 | − | 0.960557i | \(-0.589699\pi\) |
0.875851 | − | 0.482581i | \(-0.160301\pi\) | |||||||
\(692\) | 4.27901e12 | − | 1.77242e12i | 0.709359 | − | 0.293826i | ||||
\(693\) | − | 2.42435e11i | − | 0.0399297i | ||||||
\(694\) | 2.58783e12 | + | 6.24759e12i | 0.423466 | + | 1.02234i | ||||
\(695\) | 2.01054e12 | + | 2.01054e12i | 0.326874 | + | 0.326874i | ||||
\(696\) | −1.50013e13 | −2.42319 | ||||||||
\(697\) | 5.44952e12 | − | 3.03679e12i | 0.874602 | − | 0.487379i | ||||
\(698\) | 1.01004e13 | 1.61061 | ||||||||
\(699\) | −6.25953e12 | − | 6.25953e12i | −0.991732 | − | 0.991732i | ||||
\(700\) | 9.28226e11 | + | 2.24093e12i | 0.146121 | + | 0.352767i | ||||
\(701\) | 7.85905e12i | 1.22925i | 0.788821 | + | 0.614624i | \(0.210692\pi\) | ||||
−0.788821 | + | 0.614624i | \(0.789308\pi\) | |||||||
\(702\) | 1.57785e13 | − | 6.53565e12i | 2.45215 | − | 1.01572i | ||||
\(703\) | −1.56073e12 | + | 3.76793e12i | −0.241006 | + | 0.581841i | ||||
\(704\) | −2.75915e11 | − | 1.14288e11i | −0.0423349 | − | 0.0175357i | ||||
\(705\) | 1.48554e12 | − | 1.48554e12i | 0.226481 | − | 0.226481i | ||||
\(706\) | −6.37599e11 | + | 6.37599e11i | −0.0965887 | + | 0.0965887i | ||||
\(707\) | 1.00272e12 | + | 4.15342e11i | 0.150936 | + | 0.0625199i | ||||
\(708\) | 2.13129e12 | − | 5.14538e12i | 0.318781 | − | 0.769605i | ||||
\(709\) | 6.68205e12 | − | 2.76780e12i | 0.993120 | − | 0.411364i | 0.173850 | − | 0.984772i | \(-0.444379\pi\) |
0.819270 | + | 0.573408i | \(0.194379\pi\) | |||||||
\(710\) | 2.23209e12i | 0.329647i | ||||||||
\(711\) | −1.11505e12 | − | 2.69198e12i | −0.163637 | − | 0.395056i | ||||
\(712\) | 4.95265e12 | + | 4.95265e12i | 0.722233 | + | 0.722233i | ||||
\(713\) | −7.13978e12 | −1.03462 | ||||||||
\(714\) | 2.60517e11 | + | 2.24161e12i | 0.0375140 | + | 0.322789i | ||||
\(715\) | 1.86115e12 | 0.266320 | ||||||||
\(716\) | −1.98789e13 | − | 1.98789e13i | −2.82673 | − | 2.82673i | ||||
\(717\) | 1.29049e12 | + | 3.11551e12i | 0.182355 | + | 0.440244i | ||||
\(718\) | 1.30586e13i | 1.83374i | ||||||||
\(719\) | −3.17136e12 | + | 1.31362e12i | −0.442553 | + | 0.183312i | −0.592822 | − | 0.805334i | \(-0.701986\pi\) |
0.150269 | + | 0.988645i | \(0.451986\pi\) | |||||||
\(720\) | −1.20025e12 | + | 2.89767e12i | −0.166447 | + | 0.401839i | ||||
\(721\) | 2.56574e12 | + | 1.06276e12i | 0.353593 | + | 0.146463i | ||||
\(722\) | −6.62037e12 | + | 6.62037e12i | −0.906703 | + | 0.906703i | ||||
\(723\) | 1.67202e11 | − | 1.67202e11i | 0.0227572 | − | 0.0227572i | ||||
\(724\) | −3.75803e12 | − | 1.55663e12i | −0.508320 | − | 0.210553i | ||||
\(725\) | −2.98884e12 | + | 7.21569e12i | −0.401774 | + | 0.969967i | ||||
\(726\) | −7.98809e12 | + | 3.30877e12i | −1.06716 | + | 0.442030i | ||||
\(727\) | 4.17490e12i | 0.554295i | 0.960827 | + | 0.277148i | \(0.0893891\pi\) | ||||
−0.960827 | + | 0.277148i | \(0.910611\pi\) | |||||||
\(728\) | −2.16219e12 | − | 5.21998e12i | −0.285300 | − | 0.688775i | ||||
\(729\) | 5.05450e12 | + | 5.05450e12i | 0.662834 | + | 0.662834i | ||||
\(730\) | 1.06329e13 | 1.38579 | ||||||||
\(731\) | −1.11248e12 | − | 9.57235e12i | −0.144100 | − | 1.23991i | ||||
\(732\) | 1.64274e13 | 2.11480 | ||||||||
\(733\) | −3.74549e11 | − | 3.74549e11i | −0.0479227 | − | 0.0479227i | 0.682739 | − | 0.730662i | \(-0.260788\pi\) |
−0.730662 | + | 0.682739i | \(0.760788\pi\) | |||||||
\(734\) | 5.97270e11 | + | 1.44194e12i | 0.0759519 | + | 0.183364i | ||||
\(735\) | − | 3.00267e12i | − | 0.379503i | ||||||
\(736\) | −7.51105e12 | + | 3.11118e12i | −0.943518 | + | 0.390818i | ||||
\(737\) | −4.62993e11 | + | 1.11776e12i | −0.0578057 | + | 0.139555i | ||||
\(738\) | −6.17280e12 | − | 2.55686e12i | −0.766000 | − | 0.317288i | ||||
\(739\) | 3.53280e12 | − | 3.53280e12i | 0.435731 | − | 0.435731i | −0.454841 | − | 0.890573i | \(-0.650304\pi\) |
0.890573 | + | 0.454841i | \(0.150304\pi\) | |||||||
\(740\) | −3.39286e12 | + | 3.39286e12i | −0.415933 | + | 0.415933i | ||||
\(741\) | 1.00468e13 | + | 4.16150e12i | 1.22418 | + | 0.507071i | ||||
\(742\) | −1.84662e12 | + | 4.45814e12i | −0.223646 | + | 0.539929i | ||||
\(743\) | 3.92286e12 | − | 1.62490e12i | 0.472230 | − | 0.195604i | −0.133860 | − | 0.991000i | \(-0.542737\pi\) |
0.606090 | + | 0.795396i | \(0.292737\pi\) | |||||||
\(744\) | 1.19982e13i | 1.43561i | ||||||||
\(745\) | 1.87528e12 | + | 4.52732e12i | 0.223030 | + | 0.538441i | ||||
\(746\) | −8.03568e12 | − | 8.03568e12i | −0.949944 | − | 0.949944i | ||||
\(747\) | 2.96643e12 | 0.348571 | ||||||||
\(748\) | 5.82644e12 | − | 3.24683e12i | 0.680528 | − | 0.379230i | ||||
\(749\) | −1.21155e12 | −0.140660 | ||||||||
\(750\) | −7.54017e12 | − | 7.54017e12i | −0.870173 | − | 0.870173i | ||||
\(751\) | 6.18621e12 | + | 1.49348e13i | 0.709651 | + | 1.71325i | 0.700870 | + | 0.713289i | \(0.252795\pi\) |
0.00878097 | + | 0.999961i | \(0.497205\pi\) | |||||||
\(752\) | 1.18998e13i | 1.35693i | ||||||||
\(753\) | −4.08969e12 | + | 1.69401e12i | −0.463568 | + | 0.192016i | ||||
\(754\) | 1.26639e13 | − | 3.05734e13i | 1.42691 | − | 3.44487i | ||||
\(755\) | −6.34204e12 | − | 2.62696e12i | −0.710342 | − | 0.294233i | ||||
\(756\) | 3.73244e12 | − | 3.73244e12i | 0.415571 | − | 0.415571i | ||||
\(757\) | 1.16982e13 | − | 1.16982e13i | 1.29475 | − | 1.29475i | 0.362939 | − | 0.931813i | \(-0.381773\pi\) |
0.931813 | − | 0.362939i | \(-0.118227\pi\) | |||||||
\(758\) | −8.24540e12 | − | 3.41536e12i | −0.907194 | − | 0.375772i | ||||
\(759\) | −1.04395e12 | + | 2.52032e12i | −0.114181 | + | 0.275656i | ||||
\(760\) | −1.34254e13 | + | 5.56098e12i | −1.45971 | + | 0.604630i | ||||
\(761\) | − | 4.75009e12i | − | 0.513418i | −0.966489 | − | 0.256709i | \(-0.917362\pi\) | ||
0.966489 | − | 0.256709i | \(-0.0826382\pi\) | |||||||
\(762\) | 5.66638e11 | + | 1.36798e12i | 0.0608847 | + | 0.146989i | ||||
\(763\) | −2.34972e12 | − | 2.34972e12i | −0.250990 | − | 0.250990i | ||||
\(764\) | −1.77780e13 | −1.88783 | ||||||||
\(765\) | 1.17151e12 | + | 2.10227e12i | 0.123671 | + | 0.221928i | ||||
\(766\) | −2.29584e13 | −2.40942 | ||||||||
\(767\) | 4.77595e12 | + | 4.77595e12i | 0.498289 | + | 0.498289i | ||||
\(768\) | −5.06742e12 | − | 1.22338e13i | −0.525607 | − | 1.26893i | ||||
\(769\) | − | 9.86330e12i | − | 1.01708i | −0.861039 | − | 0.508538i | \(-0.830186\pi\) | ||
0.861039 | − | 0.508538i | \(-0.169814\pi\) | |||||||
\(770\) | 7.70716e11 | − | 3.19241e11i | 0.0790107 | − | 0.0327273i | ||||
\(771\) | −6.65026e11 | + | 1.60551e12i | −0.0677788 | + | 0.163632i | ||||
\(772\) | −8.33841e12 | − | 3.45388e12i | −0.844900 | − | 0.349969i | ||||
\(773\) | −2.14119e12 | + | 2.14119e12i | −0.215699 | + | 0.215699i | −0.806683 | − | 0.590984i | \(-0.798740\pi\) |
0.590984 | + | 0.806683i | \(0.298740\pi\) | |||||||
\(774\) | −7.29796e12 | + | 7.29796e12i | −0.730915 | + | 0.730915i | ||||
\(775\) | 5.77117e12 | + | 2.39050e12i | 0.574653 | + | 0.238029i | ||||
\(776\) | 6.47001e12 | − | 1.56200e13i | 0.640512 | − | 1.54633i | ||||
\(777\) | 8.17462e11 | − | 3.38604e11i | 0.0804587 | − | 0.0333271i | ||||
\(778\) | 2.09710e13i | 2.05216i | ||||||||
\(779\) | −5.15653e12 | − | 1.24490e13i | −0.501694 | − | 1.21120i | ||||
\(780\) | 9.04667e12 | + | 9.04667e12i | 0.875111 | + | 0.875111i | ||||
\(781\) | −1.21657e12 | −0.117006 | ||||||||
\(782\) | −5.94903e12 | + | 2.09245e13i | −0.568873 | + | 2.00090i | ||||
\(783\) | 1.69964e13 | 1.61595 | ||||||||
\(784\) | 1.20263e13 | + | 1.20263e13i | 1.13687 | + | 1.13687i | ||||
\(785\) | 1.34709e12 | + | 3.25217e12i | 0.126615 | + | 0.305675i | ||||
\(786\) | 1.09844e13i | 1.02653i | ||||||||
\(787\) | −1.02682e13 | + | 4.25325e12i | −0.954135 | + | 0.395216i | −0.804783 | − | 0.593568i | \(-0.797719\pi\) |
−0.149352 | + | 0.988784i | \(0.547719\pi\) | |||||||
\(788\) | 1.15439e13 | − | 2.78695e13i | 1.06656 | − | 2.57490i | ||||
\(789\) | −1.79219e12 | − | 7.42349e11i | −0.164641 | − | 0.0681965i | ||||
\(790\) | 7.08965e12 | − | 7.08965e12i | 0.647594 | − | 0.647594i | ||||
\(791\) | 2.45263e12 | − | 2.45263e12i | 0.222760 | − | 0.222760i | ||||
\(792\) | −3.62829e12 | − | 1.50289e12i | −0.327671 | − | 0.135726i | ||||
\(793\) | −7.62397e12 | + | 1.84059e13i | −0.684624 | + | 1.65283i | ||||
\(794\) | 9.18782e12 | − | 3.80572e12i | 0.820390 | − | 0.339817i | ||||
\(795\) | − | 6.00707e12i | − | 0.533348i | ||||||
\(796\) | 1.82189e13 | + | 4.39842e13i | 1.60847 | + | 3.88318i | ||||
\(797\) | 5.82704e12 | + | 5.82704e12i | 0.511547 | + | 0.511547i | 0.915000 | − | 0.403453i | \(-0.132190\pi\) |
−0.403453 | + | 0.915000i | \(0.632190\pi\) | |||||||
\(798\) | 4.87426e12 | 0.425497 | ||||||||
\(799\) | 7.15879e12 | + | 5.66807e12i | 0.621411 | + | 0.492011i | ||||
\(800\) | 7.11293e12 | 0.613965 | ||||||||
\(801\) | −1.77164e12 | − | 1.77164e12i | −0.152065 | − | 0.152065i | ||||
\(802\) | −7.79569e12 | − | 1.88205e13i | −0.665381 | − | 1.60637i | ||||
\(803\) | 5.79532e12i | 0.491878i | ||||||||
\(804\) | −7.68375e12 | + | 3.18271e12i | −0.648516 | + | 0.268624i | ||||
\(805\) | −7.17936e11 | + | 1.73325e12i | −0.0602566 | + | 0.145472i | ||||
\(806\) | −2.44528e13 | − | 1.01287e13i | −2.04090 | − | 0.845368i | ||||
\(807\) | −6.75379e12 | + | 6.75379e12i | −0.560553 | + | 0.560553i | ||||
\(808\) | 1.24320e13 | − | 1.24320e13i | 1.02610 | − | 1.02610i | ||||
\(809\) | 5.55418e12 | + | 2.30062e12i | 0.455881 | + | 0.188832i | 0.598794 | − | 0.800903i | \(-0.295647\pi\) |
−0.142913 | + | 0.989735i | \(0.545647\pi\) | |||||||
\(810\) | −1.50904e12 | + | 3.64315e12i | −0.123174 | + | 0.297368i | ||||
\(811\) | −1.35430e13 | + | 5.60969e12i | −1.09931 | + | 0.455349i | −0.857244 | − | 0.514910i | \(-0.827825\pi\) |
−0.242067 | + | 0.970260i | \(0.577825\pi\) | |||||||
\(812\) | − | 1.02279e13i | − | 0.825629i | ||||||
\(813\) | −4.38373e12 | − | 1.05832e13i | −0.351913 | − | 0.849594i | ||||
\(814\) | −2.68183e12 | − | 2.68183e12i | −0.214102 | − | 0.214102i | ||||
\(815\) | 5.08762e12 | 0.403930 | ||||||||
\(816\) | 1.53059e13 | + | 4.35160e12i | 1.20852 | + | 0.343592i | ||||
\(817\) | −2.08146e13 | −1.63444 | ||||||||
\(818\) | 3.60701e12 | + | 3.60701e12i | 0.281681 | + | 0.281681i | ||||
\(819\) | 7.73447e11 | + | 1.86727e12i | 0.0600694 | + | 0.145020i | ||||
\(820\) | − | 1.58530e13i | − | 1.22447i | ||||||
\(821\) | 1.26352e13 | − | 5.23365e12i | 0.970591 | − | 0.402032i | 0.159659 | − | 0.987172i | \(-0.448960\pi\) |
0.810932 | + | 0.585140i | \(0.198960\pi\) | |||||||
\(822\) | 6.25889e12 | − | 1.51103e13i | 0.478161 | − | 1.15438i | ||||
\(823\) | −1.13835e13 | − | 4.71518e12i | −0.864918 | − | 0.358261i | −0.0942889 | − | 0.995545i | \(-0.530058\pi\) |
−0.770629 | + | 0.637284i | \(0.780058\pi\) | |||||||
\(824\) | 3.18107e13 | − | 3.18107e13i | 2.40381 | − | 2.40381i | ||||
\(825\) | 1.68767e12 | − | 1.68767e12i | 0.126837 | − | 0.126837i | ||||
\(826\) | 2.79698e12 | + | 1.15855e12i | 0.209064 | + | 0.0865970i | ||||
\(827\) | −7.17574e12 | + | 1.73238e13i | −0.533448 | + | 1.28786i | 0.395779 | + | 0.918346i | \(0.370475\pi\) |
−0.929226 | + | 0.369511i | \(0.879525\pi\) | |||||||
\(828\) | 1.48421e13 | − | 6.14779e12i | 1.09738 | − | 0.454551i | ||||
\(829\) | − | 6.45929e12i | − | 0.474995i | −0.971388 | − | 0.237498i | \(-0.923673\pi\) | ||
0.971388 | − | 0.237498i | \(-0.0763272\pi\) | |||||||
\(830\) | 3.90622e12 | + | 9.43046e12i | 0.285697 | + | 0.689733i | ||||
\(831\) | −9.08238e12 | − | 9.08238e12i | −0.660686 | − | 0.660686i | ||||
\(832\) | 2.48976e12 | 0.180136 | ||||||||
\(833\) | 1.29633e13 | − | 1.50657e12i | 0.932851 | − | 0.108415i | ||||
\(834\) | −1.54495e13 | −1.10578 | ||||||||
\(835\) | −7.07642e12 | − | 7.07642e12i | −0.503761 | − | 0.503761i | ||||
\(836\) | −5.51319e12 | − | 1.33100e13i | −0.390369 | − | 0.942433i | ||||
\(837\) | − | 1.35939e13i | − | 0.957366i | ||||||
\(838\) | −2.46925e13 | + | 1.02280e13i | −1.72969 | + | 0.716460i | ||||
\(839\) | −7.91529e12 | + | 1.91092e13i | −0.551490 | + | 1.33142i | 0.364869 | + | 0.931059i | \(0.381114\pi\) |
−0.916360 | + | 0.400356i | \(0.868886\pi\) | |||||||
\(840\) | 2.91267e12 | + | 1.20647e12i | 0.201853 | + | 0.0836101i | ||||
\(841\) | 1.30293e13 | − | 1.30293e13i | 0.898130 | − | 0.898130i | ||||
\(842\) | 8.28071e12 | − | 8.28071e12i | 0.567758 | − | 0.567758i | ||||
\(843\) | −8.23028e12 | − | 3.40909e12i | −0.561294 | − | 0.232496i | ||||
\(844\) | −1.09462e13 | + | 2.64263e13i | −0.742541 | + | 1.79265i | ||||
\(845\) | −6.79557e12 | + | 2.81482e12i | −0.458533 | + | 0.189931i | ||||
\(846\) | − | 9.77919e12i | − | 0.656351i | ||||||
\(847\) | −1.24022e12 | − | 2.99416e12i | −0.0827987 | − | 0.199894i | ||||
\(848\) | 2.40595e13 | + | 2.40595e13i | 1.59774 | + | 1.59774i | ||||
\(849\) | 1.39353e13 | 0.920515 | ||||||||
\(850\) | 1.18145e13 | − | 1.49217e13i | 0.776300 | − | 0.980469i | ||||
\(851\) | 8.52930e12 | 0.557482 | ||||||||
\(852\) | −5.91352e12 | − | 5.91352e12i | −0.384475 | − | 0.384475i | ||||
\(853\) | 1.01060e12 | + | 2.43980e12i | 0.0653595 | + | 0.157792i | 0.953184 | − | 0.302390i | \(-0.0977844\pi\) |
−0.887825 | + | 0.460181i | \(0.847784\pi\) | |||||||
\(854\) | 8.92977e12i | 0.574486i | ||||||||
\(855\) | 4.80247e12 | − | 1.98925e12i | 0.307339 | − | 0.127304i | ||||
\(856\) | −7.51053e12 | + | 1.81320e13i | −0.478122 | + | 1.15429i | ||||
\(857\) | −1.58517e13 | − | 6.56600e12i | −1.00384 | − | 0.415802i | −0.180633 | − | 0.983551i | \(-0.557815\pi\) |
−0.823202 | + | 0.567748i | \(0.807815\pi\) | |||||||
\(858\) | −7.15079e12 | + | 7.15079e12i | −0.450465 | + | 0.450465i | ||||
\(859\) | −5.71748e12 | + | 5.71748e12i | −0.358291 | + | 0.358291i | −0.863183 | − | 0.504892i | \(-0.831532\pi\) |
0.504892 | + | 0.863183i | \(0.331532\pi\) | |||||||
\(860\) | −2.26243e13 | − | 9.37130e12i | −1.41037 | − | 0.584194i | ||||
\(861\) | −1.11872e12 | + | 2.70083e12i | −0.0693758 | + | 0.167488i | ||||
\(862\) | 1.20242e13 | − | 4.98058e12i | 0.741776 | − | 0.307254i | ||||
\(863\) | 1.72986e13i | 1.06161i | 0.847495 | + | 0.530803i | \(0.178109\pi\) | ||||
−0.847495 | + | 0.530803i | \(0.821891\pi\) | |||||||
\(864\) | −5.92355e12 | − | 1.43007e13i | −0.361635 | − | 0.873064i | ||||
\(865\) | −2.21620e12 | − | 2.21620e12i | −0.134597 | − | 0.134597i | ||||
\(866\) | 4.60112e13 | 2.77992 | ||||||||
\(867\) | 9.90835e12 | − | 7.13514e12i | 0.595546 | − | 0.428861i | ||||
\(868\) | −8.18037e12 | −0.489141 | ||||||||
\(869\) | 3.86412e12 | + | 3.86412e12i | 0.229859 | + | 0.229859i | ||||
\(870\) | 7.06628e12 | + | 1.70595e13i | 0.418171 | + | 1.00955i | ||||
\(871\) | − | 1.00863e13i | − | 0.593812i | ||||||
\(872\) | −4.97323e13 | + | 2.05998e13i | −2.91282 | + | 1.20653i | ||||
\(873\) | −2.31442e12 | + | 5.58751e12i | −0.134859 | + | 0.325578i | ||||
\(874\) | 4.34096e13 | + | 1.79808e13i | 2.51643 | + | 1.04234i | ||||
\(875\) | 2.82627e12 | − | 2.82627e12i | 0.162996 | − | 0.162996i | ||||
\(876\) | −2.81699e13 | + | 2.81699e13i | −1.61628 | + | 1.61628i | ||||
\(877\) | 1.67784e12 | + | 6.94986e11i | 0.0957753 | + | 0.0396714i | 0.430057 | − | 0.902802i | \(-0.358494\pi\) |
−0.334281 | + | 0.942473i | \(0.608494\pi\) | |||||||
\(878\) | 3.98611e12 | − | 9.62331e12i | 0.226373 | − | 0.546512i | ||||
\(879\) | 8.23946e12 | − | 3.41290e12i | 0.465531 | − | 0.192829i | ||||
\(880\) | − | 5.88224e12i | − | 0.330652i | ||||||
\(881\) | −1.43953e12 | − | 3.47533e12i | −0.0805061 | − | 0.194359i | 0.878501 | − | 0.477740i | \(-0.158544\pi\) |
−0.959007 | + | 0.283381i | \(0.908544\pi\) | |||||||
\(882\) | −9.88320e12 | − | 9.88320e12i | −0.549907 | − | 0.549907i | ||||
\(883\) | −3.03716e13 | −1.68130 | −0.840649 | − | 0.541581i | \(-0.817826\pi\) | ||||
−0.840649 | + | 0.541581i | \(0.817826\pi\) | |||||||
\(884\) | −3.45176e13 | + | 4.35958e13i | −1.90110 | + | 2.40110i | ||||
\(885\) | −3.76875e12 | −0.206516 | ||||||||
\(886\) | −8.93906e12 | − | 8.93906e12i | −0.487349 | − | 0.487349i | ||||
\(887\) | 3.17679e12 | + | 7.66945e12i | 0.172319 | + | 0.416014i | 0.986318 | − | 0.164851i | \(-0.0527144\pi\) |
−0.814000 | + | 0.580865i | \(0.802714\pi\) | |||||||
\(888\) | − | 1.43332e13i | − | 0.773544i | ||||||
\(889\) | −5.12758e11 | + | 2.12392e11i | −0.0275331 | + | 0.0114046i | ||||
\(890\) | 3.29924e12 | − | 7.96507e12i | 0.176262 | − | 0.425534i | ||||
\(891\) | −1.98565e12 | − | 8.22484e11i | −0.105549 | − | 0.0437198i | ||||
\(892\) | −2.75678e13 | + | 2.75678e13i | −1.45801 | + | 1.45801i | ||||
\(893\) | 1.39457e13 | − | 1.39457e13i | 0.733851 | − | 0.733851i | ||||
\(894\) | −2.45997e13 | − | 1.01895e13i | −1.28799 | − | 0.533502i | ||||
\(895\) | −7.28020e12 | + | 1.75760e13i | −0.379262 | + | 0.915620i | ||||
\(896\) | 4.90567e12 | − | 2.03199e12i | 0.254280 | − | 0.105326i | ||||
\(897\) | − | 2.27424e13i | − | 1.17293i | ||||||
\(898\) | 2.17940e13 | + | 5.26154e13i | 1.11839 | + | 2.70004i | ||||
\(899\) | −1.86254e13 | − | 1.86254e13i | −0.951016 | − | 0.951016i | ||||
\(900\) | −1.40554e13 | −0.714088 | ||||||||
\(901\) | 2.59340e13 | − | 3.01401e12i | 1.31102 | − | 0.152364i | ||||
\(902\) | 1.25307e13 | 0.630300 | ||||||||
\(903\) | 3.19313e12 | + | 3.19313e12i | 0.159817 | + | 0.159817i | ||||
\(904\) | −2.15020e13 | − | 5.19103e13i | −1.07083 | − | 2.58521i | ||||
\(905\) | 2.75259e12i | 0.136402i | ||||||||
\(906\) | 3.44602e13 | − | 1.42739e13i | 1.69919 | − | 0.703826i | ||||
\(907\) | −5.03670e12 | + | 1.21597e13i | −0.247123 | + | 0.596607i | −0.997957 | − | 0.0638829i | \(-0.979652\pi\) |
0.750834 | + | 0.660490i | \(0.229652\pi\) | |||||||
\(908\) | 4.12358e13 | + | 1.70804e13i | 2.01321 | + | 0.833898i | ||||
\(909\) | −4.44713e12 | + | 4.44713e12i | −0.216044 | + | 0.216044i | ||||
\(910\) | −4.91768e12 | + | 4.91768e12i | −0.237724 | + | 0.237724i | ||||
\(911\) | 2.63375e13 | + | 1.09094e13i | 1.26690 | + | 0.524767i | 0.912020 | − | 0.410146i | \(-0.134522\pi\) |
0.354879 | + | 0.934912i | \(0.384522\pi\) | |||||||
\(912\) | 1.31526e13 | − | 3.17533e13i | 0.629558 | − | 1.51989i | ||||
\(913\) | −5.13995e12 | + | 2.12904e12i | −0.244816 | + | 0.101406i | ||||
\(914\) | 3.49329e13i | 1.65568i | ||||||||
\(915\) | −4.25406e12 | − | 1.02702e13i | −0.200636 | − | 0.484378i | ||||
\(916\) | 2.57068e13 | + | 2.57068e13i | 1.20647 | + | 1.20647i | ||||
\(917\) | −4.11724e12 | −0.192284 | ||||||||
\(918\) | −3.98394e13 | − | 1.13267e13i | −1.85149 | − | 0.526394i | ||||
\(919\) | 2.80490e13 | 1.29717 | 0.648585 | − | 0.761142i | \(-0.275361\pi\) | ||||
0.648585 | + | 0.761142i | \(0.275361\pi\) | |||||||
\(920\) | 2.14893e13 | + | 2.14893e13i | 0.988956 | + | 0.988956i | ||||
\(921\) | 7.01162e12 | + | 1.69276e13i | 0.321107 | + | 0.775222i | ||||
\(922\) | − | 5.83054e13i | − | 2.65717i | ||||||
\(923\) | 9.37021e12 | − | 3.88127e12i | 0.424954 | − | 0.176022i | ||||
\(924\) | −1.19610e12 | + | 2.88764e12i | −0.0539814 | + | 0.130323i | ||||
\(925\) | −6.89433e12 | − | 2.85573e12i | −0.309638 | − | 0.128256i | ||||
\(926\) | −3.87762e13 | + | 3.87762e13i | −1.73307 | + | 1.73307i | ||||
\(927\) | −1.13792e13 | + | 1.13792e13i | −0.506118 | + | 0.506118i | ||||
\(928\) | −2.77100e13 | − | 1.14779e13i | −1.22651 | − | 0.508037i | ||||
\(929\) | 1.34467e13 | − | 3.24633e13i | 0.592306 | − | 1.42995i | −0.288963 | − | 0.957340i | \(-0.593310\pi\) |
0.881270 | − | 0.472614i | \(-0.156690\pi\) | |||||||
\(930\) | 1.36443e13 | − | 5.65166e12i | 0.598107 | − | 0.247744i | ||||
\(931\) | − | 2.81880e13i | − | 1.22967i | ||||||
\(932\) | −3.74150e13 | − | 9.03277e13i | −1.62433 | − | 3.92147i | ||||
\(933\) | 5.22432e12 | + | 5.22432e12i | 0.225716 | + | 0.225716i | ||||
\(934\) | 6.66061e13 | 2.86387 | ||||||||
\(935\) | −3.53870e12 | − | 2.80182e12i | −0.151423 | − | 0.119891i | ||||
\(936\) | 3.27403e13 | 1.39425 | ||||||||
\(937\) | 2.99242e12 | + | 2.99242e12i | 0.126822 | + | 0.126822i | 0.767669 | − | 0.640847i | \(-0.221417\pi\) |
−0.640847 | + | 0.767669i | \(0.721417\pi\) | |||||||
\(938\) | −1.73009e12 | − | 4.17681e12i | −0.0729720 | − | 0.176170i | ||||
\(939\) | 2.73256e13i | 1.14703i | ||||||||
\(940\) | 2.14369e13 | − | 8.87947e12i | 0.895545 | − | 0.370947i | ||||
\(941\) | 1.12868e13 | − | 2.72486e13i | 0.469262 | − | 1.13290i | −0.495223 | − | 0.868766i | \(-0.664914\pi\) |
0.964486 | − | 0.264134i | \(-0.0850862\pi\) | |||||||
\(942\) | −1.76710e13 | − | 7.31958e12i | −0.731195 | − | 0.302871i | ||||
\(943\) | −1.99264e13 | + | 1.99264e13i | −0.820590 | + | 0.820590i | ||||
\(944\) | 1.50946e13 | − | 1.50946e13i | 0.618655 | − | 0.618655i | ||||
\(945\) | −3.30004e12 | − | 1.36692e12i | −0.134610 | − | 0.0557571i | ||||
\(946\) | 7.40740e12 | − | 1.78830e13i | 0.300715 | − | 0.725991i | ||||
\(947\) | −4.34365e12 | + | 1.79920e12i | −0.175501 | + | 0.0726950i | −0.468704 | − | 0.883355i | \(-0.655279\pi\) |
0.293203 | + | 0.956050i | \(0.405279\pi\) | |||||||
\(948\) | 3.75655e13i | 1.51061i | ||||||||
\(949\) | −1.84890e13 | − | 4.46364e13i | −0.739972 | − | 1.78645i | ||||
\(950\) | −2.90682e13 | − | 2.90682e13i | −1.15788 | − | 1.15788i | ||||
\(951\) | 7.76821e11 | 0.0307970 | ||||||||
\(952\) | −3.74720e12 | + | 1.31801e13i | −0.147857 | + | 0.520057i | ||||
\(953\) | 8.96893e12 | 0.352227 | 0.176114 | − | 0.984370i | \(-0.443647\pi\) | ||||
0.176114 | + | 0.984370i | \(0.443647\pi\) | |||||||
\(954\) | −1.97721e13 | − | 1.97721e13i | −0.772831 | − | 0.772831i | ||||
\(955\) | 4.60382e12 | + | 1.11146e13i | 0.179103 | + | 0.432393i | ||||
\(956\) | 3.72446e13i | 1.44212i | ||||||||
\(957\) | −9.29806e12 | + | 3.85138e12i | −0.358334 | + | 0.148427i | ||||
\(958\) | −4.28597e12 | + | 1.03472e13i | −0.164401 | + | 0.396899i | ||||
\(959\) | 5.66375e12 | + | 2.34600e12i | 0.216232 | + | 0.0895664i | ||||
\(960\) | −9.82346e11 | + | 9.82346e11i | −0.0373288 | + | 0.0373288i | ||||
\(961\) | 3.79887e12 | − | 3.79887e12i | 0.143681 | − | 0.143681i | ||||
\(962\) | 2.92118e13 | + | 1.20999e13i | 1.09969 | + | 0.455506i | ||||
\(963\) | 2.68664e12 | − | 6.48611e12i | 0.100668 | − | 0.243033i | ||||
\(964\) | 2.41280e12 | − | 9.99413e11i | 0.0899858 | − | 0.0372733i | ||||
\(965\) | 6.10750e12i | 0.226720i | ||||||||
\(966\) | −3.90099e12 | − | 9.41782e12i | −0.144138 | − | 0.347979i | ||||
\(967\) | 1.59846e13 | + | 1.59846e13i | 0.587871 | + | 0.587871i | 0.937054 | − | 0.349183i | \(-0.113541\pi\) |
−0.349183 | + | 0.937054i | \(0.613541\pi\) | |||||||
\(968\) | −5.24989e13 | −1.92181 | ||||||||
\(969\) | −1.28376e13 | − | 2.30372e13i | −0.467766 | − | 0.839406i | ||||
\(970\) | −2.08107e13 | −0.754769 | ||||||||
\(971\) | 1.85798e12 | + | 1.85798e12i | 0.0670739 | + | 0.0670739i | 0.739848 | − | 0.672774i | \(-0.234897\pi\) |
−0.672774 | + | 0.739848i | \(0.734897\pi\) | |||||||
\(972\) | 1.97147e13 | + | 4.75954e13i | 0.708421 | + | 1.71028i | ||||
\(973\) | − | 5.79092e12i | − | 0.207128i | ||||||
\(974\) | 2.49570e13 | − | 1.03375e13i | 0.888539 | − | 0.368045i | ||||
\(975\) | −7.61446e12 | + | 1.83829e13i | −0.269848 | + | 0.651470i | ||||
\(976\) | 5.81727e13 | + | 2.40959e13i | 2.05208 | + | 0.850001i | ||||
\(977\) | −3.25989e13 | + | 3.25989e13i | −1.14466 | + | 1.14466i | −0.157076 | + | 0.987587i | \(0.550207\pi\) |
−0.987587 | + | 0.157076i | \(0.949793\pi\) | |||||||
\(978\) | −1.95474e13 | + | 1.95474e13i | −0.683225 | + | 0.683225i | ||||
\(979\) | 4.34126e12 | + | 1.79821e12i | 0.151040 | + | 0.0625630i | ||||
\(980\) | 1.26910e13 | − | 3.06388e13i | 0.439521 | − | 1.06110i | ||||
\(981\) | 1.77900e13 | − | 7.36886e12i | 0.613290 | − | 0.254033i | ||||
\(982\) | 4.39093e12i | 0.150680i | ||||||||
\(983\) | −1.23143e13 | − | 2.97293e13i | −0.420648 | − | 1.01553i | −0.982157 | − | 0.188063i | \(-0.939779\pi\) |
0.561509 | − | 0.827471i | \(-0.310221\pi\) | |||||||
\(984\) | 3.34856e13 | + | 3.34856e13i | 1.13863 | + | 1.13863i | ||||
\(985\) | −2.04131e13 | −0.690949 | ||||||||
\(986\) | −7.01046e13 | + | 3.90664e13i | −2.36211 | + | 1.31631i | ||||
\(987\) | −4.27877e12 | −0.143513 | ||||||||
\(988\) | 8.49268e13 | + | 8.49268e13i | 2.83556 | + | 2.83556i | ||||
\(989\) | 1.66584e13 | + | 4.02169e13i | 0.553668 | + | 1.33667i | ||||
\(990\) | 4.83401e12i | 0.159937i | ||||||||
\(991\) | −4.55881e13 | + | 1.88832e13i | −1.50148 | + | 0.621933i | −0.973779 | − | 0.227496i | \(-0.926946\pi\) |
−0.527701 | + | 0.849430i | \(0.676946\pi\) | |||||||
\(992\) | −9.18009e12 | + | 2.21627e13i | −0.300985 | + | 0.726641i | ||||
\(993\) | 2.50685e13 | + | 1.03837e13i | 0.818196 | + | 0.338908i | ||||
\(994\) | 3.21453e12 | − | 3.21453e12i | 0.104443 | − | 0.104443i | ||||
\(995\) | 2.27804e13 | − | 2.27804e13i | 0.736814 | − | 0.736814i | ||||
\(996\) | −3.53331e13 | − | 1.46355e13i | −1.13767 | − | 0.471237i | ||||
\(997\) | −1.18342e13 | + | 2.85703e13i | −0.379324 | + | 0.915769i | 0.612769 | + | 0.790262i | \(0.290056\pi\) |
−0.992093 | + | 0.125507i | \(0.959944\pi\) | |||||||
\(998\) | 4.47034e13 | − | 1.85168e13i | 1.42644 | − | 0.590851i | ||||
\(999\) | 1.62394e13i | 0.515853i |
(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 | 17.10.d.a.15.13 | yes | 52 | |
17.5 | odd | 16 | 289.10.a.i.1.3 | 52 | |||
17.8 | even | 8 | inner | 17.10.d.a.8.13 | ✓ | 52 | |
17.12 | odd | 16 | 289.10.a.i.1.4 | 52 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
17.10.d.a.8.13 | ✓ | 52 | 17.8 | even | 8 | inner | |
17.10.d.a.15.13 | yes | 52 | 1.1 | even | 1 | trivial | |
289.10.a.i.1.3 | 52 | 17.5 | odd | 16 | |||
289.10.a.i.1.4 | 52 | 17.12 | odd | 16 |