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 | 5.18 | ||
Character | \(\chi\) | \(=\) | 16.5 |
Dual form | 16.12.e.a.13.18 |
$q$-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 \(\left(\mathbb{Z}/16\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(15\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 40.4837 | + | 20.2255i | 0.894571 | + | 0.446925i | ||||
\(3\) | −522.679 | + | 522.679i | −1.24185 | + | 1.24185i | −0.282612 | + | 0.959234i | \(0.591201\pi\) |
−0.959234 | + | 0.282612i | \(0.908799\pi\) | |||||||
\(4\) | 1229.86 | + | 1637.61i | 0.600516 | + | 0.799613i | ||||
\(5\) | −3202.37 | − | 3202.37i | −0.458287 | − | 0.458287i | 0.439806 | − | 0.898093i | \(-0.355047\pi\) |
−0.898093 | + | 0.439806i | \(0.855047\pi\) | |||||||
\(6\) | −31731.4 | + | 10588.5i | −1.66593 | + | 0.555908i | ||||
\(7\) | 31977.4i | 0.719123i | 0.933121 | + | 0.359562i | \(0.117074\pi\) | ||||
−0.933121 | + | 0.359562i | \(0.882926\pi\) | |||||||
\(8\) | 16667.6 | + | 91170.9i | 0.179837 | + | 0.983696i | ||||
\(9\) | − | 369239.i | − | 2.08437i | ||||||
\(10\) | −64874.2 | − | 194414.i | −0.205150 | − | 0.614790i | ||||
\(11\) | −406679. | − | 406679.i | −0.761364 | − | 0.761364i | 0.215205 | − | 0.976569i | \(-0.430958\pi\) |
−0.976569 | + | 0.215205i | \(0.930958\pi\) | |||||||
\(12\) | −1.49876e6 | − | 213123.i | −1.73874 | − | 0.247249i | ||||
\(13\) | 1.12564e6 | − | 1.12564e6i | 0.840835 | − | 0.840835i | −0.148132 | − | 0.988968i | \(-0.547326\pi\) |
0.988968 | + | 0.148132i | \(0.0473262\pi\) | |||||||
\(14\) | −646759. | + | 1.29456e6i | −0.321394 | + | 0.643307i | ||||
\(15\) | 3.34763e6 | 1.13824 | ||||||||
\(16\) | −1.16921e6 | + | 4.02804e6i | −0.278762 | + | 0.960360i | ||||
\(17\) | −5.55545e6 | −0.948965 | −0.474483 | − | 0.880265i | \(-0.657365\pi\) | ||||
−0.474483 | + | 0.880265i | \(0.657365\pi\) | |||||||
\(18\) | 7.46806e6 | − | 1.49482e7i | 0.931556 | − | 1.86461i | ||||
\(19\) | −7.81054e6 | + | 7.81054e6i | −0.723662 | + | 0.723662i | −0.969349 | − | 0.245687i | \(-0.920986\pi\) |
0.245687 | + | 0.969349i | \(0.420986\pi\) | |||||||
\(20\) | 1.30577e6 | − | 9.18269e6i | 0.0912437 | − | 0.641660i | ||||
\(21\) | −1.67139e7 | − | 1.67139e7i | −0.893041 | − | 0.893041i | ||||
\(22\) | −8.23856e6 | − | 2.46892e7i | −0.340821 | − | 1.02137i | ||||
\(23\) | 3.53021e7i | 1.14366i | 0.820371 | + | 0.571831i | \(0.193767\pi\) | ||||
−0.820371 | + | 0.571831i | \(0.806233\pi\) | |||||||
\(24\) | −5.63649e7 | − | 3.89413e7i | −1.44493 | − | 0.998271i | ||||
\(25\) | − | 2.83177e7i | − | 0.579947i | ||||||
\(26\) | 6.83367e7 | − | 2.28034e7i | 1.12798 | − | 0.376396i | ||||
\(27\) | 1.00402e8 | + | 1.00402e8i | 1.34662 | + | 1.34662i | ||||
\(28\) | −5.23664e7 | + | 3.93275e7i | −0.575021 | + | 0.431845i | ||||
\(29\) | −1.32950e8 | + | 1.32950e8i | −1.20364 | + | 1.20364i | −0.230594 | + | 0.973050i | \(0.574067\pi\) |
−0.973050 | + | 0.230594i | \(0.925933\pi\) | |||||||
\(30\) | 1.35524e8 | + | 6.77075e7i | 1.01824 | + | 0.508710i | ||||
\(31\) | 7.64393e7 | 0.479543 | 0.239771 | − | 0.970829i | \(-0.422928\pi\) | ||||
0.239771 | + | 0.970829i | \(0.422928\pi\) | |||||||
\(32\) | −1.28803e8 | + | 1.39422e8i | −0.678582 | + | 0.734525i | ||||
\(33\) | 4.25125e8 | 1.89099 | ||||||||
\(34\) | −2.24905e8 | − | 1.12362e8i | −0.848917 | − | 0.424117i | ||||
\(35\) | 1.02403e8 | − | 1.02403e8i | 0.329565 | − | 0.329565i | ||||
\(36\) | 6.04669e8 | − | 4.54111e8i | 1.66669 | − | 1.25169i | ||||
\(37\) | −6.43077e7 | − | 6.43077e7i | −0.152459 | − | 0.152459i | 0.626756 | − | 0.779215i | \(-0.284382\pi\) |
−0.779215 | + | 0.626756i | \(0.784382\pi\) | |||||||
\(38\) | −4.74171e8 | + | 1.58227e8i | −0.970791 | + | 0.323945i | ||||
\(39\) | 1.17670e9i | 2.08838i | ||||||||
\(40\) | 2.38587e8 | − | 3.45339e8i | 0.368398 | − | 0.533232i | ||||
\(41\) | 1.19596e9i | 1.61215i | 0.591817 | + | 0.806073i | \(0.298411\pi\) | ||||
−0.591817 | + | 0.806073i | \(0.701589\pi\) | |||||||
\(42\) | −3.38592e8 | − | 1.01469e9i | −0.399766 | − | 1.19801i | ||||
\(43\) | −1.26260e9 | − | 1.26260e9i | −1.30975 | − | 1.30975i | −0.921594 | − | 0.388154i | \(-0.873113\pi\) |
−0.388154 | − | 0.921594i | \(-0.626887\pi\) | |||||||
\(44\) | 1.65824e8 | − | 1.16614e9i | 0.151586 | − | 1.06601i | ||||
\(45\) | −1.18244e9 | + | 1.18244e9i | −0.955237 | + | 0.955237i | ||||
\(46\) | −7.14004e8 | + | 1.42916e9i | −0.511132 | + | 1.02309i | ||||
\(47\) | 5.29010e8 | 0.336454 | 0.168227 | − | 0.985748i | \(-0.446196\pi\) | ||||
0.168227 | + | 0.985748i | \(0.446196\pi\) | |||||||
\(48\) | −1.49425e9 | − | 2.71649e9i | −0.846440 | − | 1.53880i | ||||
\(49\) | 9.54775e8 | 0.482862 | ||||||||
\(50\) | 5.72741e8 | − | 1.14641e9i | 0.259193 | − | 0.518804i | ||||
\(51\) | 2.90372e9 | − | 2.90372e9i | 1.17847 | − | 1.17847i | ||||
\(52\) | 3.22773e9 | + | 4.58982e8i | 1.17728 | + | 0.167408i | ||||
\(53\) | −3.02648e9 | − | 3.02648e9i | −0.994079 | − | 0.994079i | 0.00590367 | − | 0.999983i | \(-0.498121\pi\) |
−0.999983 | + | 0.00590367i | \(0.998121\pi\) | |||||||
\(54\) | 2.03397e9 | + | 6.09535e9i | 0.602807 | + | 1.80648i | ||||
\(55\) | 2.60468e9i | 0.697845i | ||||||||
\(56\) | −2.91540e9 | + | 5.32986e8i | −0.707399 | + | 0.129325i | ||||
\(57\) | − | 8.16480e9i | − | 1.79736i | ||||||
\(58\) | −8.07126e9 | + | 2.69331e9i | −1.61468 | + | 0.538806i | ||||
\(59\) | 2.78580e9 | + | 2.78580e9i | 0.507299 | + | 0.507299i | 0.913696 | − | 0.406398i | \(-0.133215\pi\) |
−0.406398 | + | 0.913696i | \(0.633215\pi\) | |||||||
\(60\) | 4.11710e9 | + | 5.48210e9i | 0.683533 | + | 0.910154i | ||||
\(61\) | −3.36803e9 | + | 3.36803e9i | −0.510577 | + | 0.510577i | −0.914703 | − | 0.404126i | \(-0.867576\pi\) |
0.404126 | + | 0.914703i | \(0.367576\pi\) | |||||||
\(62\) | 3.09454e9 | + | 1.54602e9i | 0.428985 | + | 0.214320i | ||||
\(63\) | 1.18073e10 | 1.49892 | ||||||||
\(64\) | −8.03432e9 | + | 3.03920e9i | −0.935318 | + | 0.353809i | ||||
\(65\) | −7.20944e9 | −0.770687 | ||||||||
\(66\) | 1.72106e10 | + | 8.59838e9i | 1.69163 | + | 0.845133i | ||||
\(67\) | −1.24856e9 | + | 1.24856e9i | −0.112979 | + | 0.112979i | −0.761336 | − | 0.648357i | \(-0.775456\pi\) |
0.648357 | + | 0.761336i | \(0.275456\pi\) | |||||||
\(68\) | −6.83240e9 | − | 9.09765e9i | −0.569868 | − | 0.758805i | ||||
\(69\) | −1.84517e10 | − | 1.84517e10i | −1.42025 | − | 1.42025i | ||||
\(70\) | 6.21683e9 | − | 2.07450e9i | 0.442110 | − | 0.147528i | ||||
\(71\) | 1.89319e9i | 0.124530i | 0.998060 | + | 0.0622649i | \(0.0198324\pi\) | ||||
−0.998060 | + | 0.0622649i | \(0.980168\pi\) | |||||||
\(72\) | 3.36638e10 | − | 6.15433e9i | 2.05038 | − | 0.374845i | ||||
\(73\) | 7.84989e9i | 0.443188i | 0.975139 | + | 0.221594i | \(0.0711259\pi\) | ||||
−0.975139 | + | 0.221594i | \(0.928874\pi\) | |||||||
\(74\) | −1.30275e9 | − | 3.90407e9i | −0.0682477 | − | 0.204523i | ||||
\(75\) | 1.48011e10 | + | 1.48011e10i | 0.720205 | + | 0.720205i | ||||
\(76\) | −2.23964e10 | − | 3.18476e9i | −1.01322 | − | 0.144079i | ||||
\(77\) | 1.30045e10 | − | 1.30045e10i | 0.547514 | − | 0.547514i | ||||
\(78\) | −2.37993e10 | + | 4.76370e10i | −0.933348 | + | 1.86820i | ||||
\(79\) | 1.00349e10 | 0.366914 | 0.183457 | − | 0.983028i | \(-0.441271\pi\) | ||||
0.183457 | + | 0.983028i | \(0.441271\pi\) | |||||||
\(80\) | 1.66436e10 | − | 9.15504e9i | 0.567873 | − | 0.312367i | ||||
\(81\) | −3.95468e10 | −1.26021 | ||||||||
\(82\) | −2.41889e10 | + | 4.84167e10i | −0.720509 | + | 1.44218i | ||||
\(83\) | −4.69132e9 | + | 4.69132e9i | −0.130727 | + | 0.130727i | −0.769443 | − | 0.638716i | \(-0.779466\pi\) |
0.638716 | + | 0.769443i | \(0.279466\pi\) | |||||||
\(84\) | 6.81512e9 | − | 4.79265e10i | 0.177802 | − | 1.25037i | ||||
\(85\) | 1.77906e10 | + | 1.77906e10i | 0.434898 | + | 0.434898i | ||||
\(86\) | −2.55779e10 | − | 7.66512e10i | −0.586304 | − | 1.75702i | ||||
\(87\) | − | 1.38980e11i | − | 2.98948i | ||||||
\(88\) | 3.02989e10 | − | 4.38556e10i | 0.612030 | − | 0.885872i | ||||
\(89\) | 2.92005e10i | 0.554301i | 0.960826 | + | 0.277151i | \(0.0893901\pi\) | ||||
−0.960826 | + | 0.277151i | \(0.910610\pi\) | |||||||
\(90\) | −7.17851e10 | + | 2.39541e10i | −1.28145 | + | 0.427608i | ||||
\(91\) | 3.59950e10 | + | 3.59950e10i | 0.604664 | + | 0.604664i | ||||
\(92\) | −5.78110e10 | + | 4.34165e10i | −0.914487 | + | 0.686787i | ||||
\(93\) | −3.99532e10 | + | 3.99532e10i | −0.595518 | + | 0.595518i | ||||
\(94\) | 2.14163e10 | + | 1.06995e10i | 0.300982 | + | 0.150370i | ||||
\(95\) | 5.00245e10 | 0.663289 | ||||||||
\(96\) | −5.55014e9 | − | 1.40196e11i | −0.0694724 | − | 1.75486i | ||||
\(97\) | 1.08863e10 | 0.128717 | 0.0643585 | − | 0.997927i | \(-0.479500\pi\) | ||||
0.0643585 | + | 0.997927i | \(0.479500\pi\) | |||||||
\(98\) | 3.86528e10 | + | 1.93108e10i | 0.431954 | + | 0.215803i | ||||
\(99\) | −1.50162e11 | + | 1.50162e11i | −1.58696 | + | 1.58696i | ||||
\(100\) | 4.63733e10 | − | 3.48267e10i | 0.463733 | − | 0.348267i | ||||
\(101\) | 3.95900e10 | + | 3.95900e10i | 0.374816 | + | 0.374816i | 0.869228 | − | 0.494412i | \(-0.164616\pi\) |
−0.494412 | + | 0.869228i | \(0.664616\pi\) | |||||||
\(102\) | 1.76282e11 | − | 5.88239e10i | 1.58091 | − | 0.527537i | ||||
\(103\) | 1.94460e11i | 1.65282i | 0.563070 | + | 0.826409i | \(0.309620\pi\) | ||||
−0.563070 | + | 0.826409i | \(0.690380\pi\) | |||||||
\(104\) | 1.21387e11 | + | 8.38638e10i | 0.978340 | + | 0.675914i | ||||
\(105\) | 1.07048e11i | 0.818537i | ||||||||
\(106\) | −6.13109e10 | − | 1.83735e11i | −0.444995 | − | 1.33355i | ||||
\(107\) | 8.90449e10 | + | 8.90449e10i | 0.613760 | + | 0.613760i | 0.943924 | − | 0.330164i | \(-0.107104\pi\) |
−0.330164 | + | 0.943924i | \(0.607104\pi\) | |||||||
\(108\) | −4.09393e10 | + | 2.87900e11i | −0.268108 | + | 1.88543i | ||||
\(109\) | 1.44452e11 | − | 1.44452e11i | 0.899247 | − | 0.899247i | −0.0961226 | − | 0.995370i | \(-0.530644\pi\) |
0.995370 | + | 0.0961226i | \(0.0306441\pi\) | |||||||
\(110\) | −5.26810e10 | + | 1.05447e11i | −0.311885 | + | 0.624272i | ||||
\(111\) | 6.72245e10 | 0.378661 | ||||||||
\(112\) | −1.28806e11 | − | 3.73884e10i | −0.690617 | − | 0.200464i | ||||
\(113\) | 1.40215e11 | 0.715920 | 0.357960 | − | 0.933737i | \(-0.383472\pi\) | ||||
0.357960 | + | 0.933737i | \(0.383472\pi\) | |||||||
\(114\) | 1.65137e11 | − | 3.30541e11i | 0.803283 | − | 1.60786i | ||||
\(115\) | 1.13051e11 | − | 1.13051e11i | 0.524125 | − | 0.524125i | ||||
\(116\) | −3.81228e11 | − | 5.42104e10i | −1.68526 | − | 0.239643i | ||||
\(117\) | −4.15630e11 | − | 4.15630e11i | −1.75261 | − | 1.75261i | ||||
\(118\) | 5.64351e10 | + | 1.69124e11i | 0.227090 | + | 0.680540i | ||||
\(119\) | − | 1.77649e11i | − | 0.682423i | ||||||
\(120\) | 5.57969e10 | + | 3.05206e11i | 0.204698 | + | 1.11969i | ||||
\(121\) | 4.54641e10i | 0.159349i | ||||||||
\(122\) | −2.04470e11 | + | 6.82300e10i | −0.684938 | + | 0.228558i | ||||
\(123\) | −6.25101e11 | − | 6.25101e11i | −2.00204 | − | 2.00204i | ||||
\(124\) | 9.40093e10 | + | 1.25178e11i | 0.287973 | + | 0.383449i | ||||
\(125\) | −2.47050e11 | + | 2.47050e11i | −0.724068 | + | 0.724068i | ||||
\(126\) | 4.78003e11 | + | 2.38809e11i | 1.34089 | + | 0.669903i | ||||
\(127\) | 6.12201e10 | 0.164427 | 0.0822135 | − | 0.996615i | \(-0.473801\pi\) | ||||
0.0822135 | + | 0.996615i | \(0.473801\pi\) | |||||||
\(128\) | −3.86728e11 | − | 3.94604e10i | −0.994835 | − | 0.101509i | ||||
\(129\) | 1.31986e12 | 3.25301 | ||||||||
\(130\) | −2.91865e11 | − | 1.45815e11i | −0.689434 | − | 0.344440i | ||||
\(131\) | −4.24135e11 | + | 4.24135e11i | −0.960533 | + | 0.960533i | −0.999250 | − | 0.0387173i | \(-0.987673\pi\) |
0.0387173 | + | 0.999250i | \(0.487673\pi\) | |||||||
\(132\) | 5.22842e11 | + | 6.96188e11i | 1.13557 | + | 1.51206i | ||||
\(133\) | −2.49760e11 | − | 2.49760e11i | −0.520403 | − | 0.520403i | ||||
\(134\) | −7.57993e10 | + | 2.52936e10i | −0.151561 | + | 0.0505747i | ||||
\(135\) | − | 6.43052e11i | − | 1.23427i | ||||||
\(136\) | −9.25960e10 | − | 5.06495e11i | −0.170659 | − | 0.933494i | ||||
\(137\) | 4.97152e10i | 0.0880087i | 0.999031 | + | 0.0440044i | \(0.0140115\pi\) | ||||
−0.999031 | + | 0.0440044i | \(0.985988\pi\) | |||||||
\(138\) | −3.73797e11 | − | 1.12019e12i | −0.635770 | − | 1.90526i | ||||
\(139\) | 2.29908e10 | + | 2.29908e10i | 0.0375814 | + | 0.0375814i | 0.725648 | − | 0.688066i | \(-0.241540\pi\) |
−0.688066 | + | 0.725648i | \(0.741540\pi\) | |||||||
\(140\) | 2.93638e11 | + | 4.17552e10i | 0.461433 | + | 0.0656155i | ||||
\(141\) | −2.76502e11 | + | 2.76502e11i | −0.417825 | + | 0.417825i | ||||
\(142\) | −3.82908e10 | + | 7.66433e10i | −0.0556555 | + | 0.111401i | ||||
\(143\) | −9.15548e11 | −1.28036 | ||||||||
\(144\) | 1.48731e12 | + | 4.31719e11i | 2.00174 | + | 0.581042i | ||||
\(145\) | 8.51509e11 | 1.10323 | ||||||||
\(146\) | −1.58768e11 | + | 3.17792e11i | −0.198072 | + | 0.396463i | ||||
\(147\) | −4.99041e11 | + | 4.99041e11i | −0.599640 | + | 0.599640i | ||||
\(148\) | 2.62216e10 | − | 1.84400e11i | 0.0303542 | − | 0.213462i | ||||
\(149\) | 3.55846e11 | + | 3.55846e11i | 0.396952 | + | 0.396952i | 0.877157 | − | 0.480204i | \(-0.159438\pi\) |
−0.480204 | + | 0.877157i | \(0.659438\pi\) | |||||||
\(150\) | 2.99842e11 | + | 8.98561e11i | 0.322397 | + | 0.966153i | ||||
\(151\) | − | 9.76411e11i | − | 1.01218i | −0.862479 | − | 0.506092i | \(-0.831090\pi\) | ||
0.862479 | − | 0.506092i | \(-0.168910\pi\) | |||||||
\(152\) | −8.42276e11 | − | 5.81910e11i | −0.842005 | − | 0.581723i | ||||
\(153\) | 2.05129e12i | 1.97799i | ||||||||
\(154\) | 7.89494e11 | − | 2.63448e11i | 0.734489 | − | 0.245093i | ||||
\(155\) | −2.44787e11 | − | 2.44787e11i | −0.219768 | − | 0.219768i | ||||
\(156\) | −1.92697e12 | + | 1.44717e12i | −1.66989 | + | 1.25410i | ||||
\(157\) | 1.03183e12 | − | 1.03183e12i | 0.863301 | − | 0.863301i | −0.128419 | − | 0.991720i | \(-0.540990\pi\) |
0.991720 | + | 0.128419i | \(0.0409903\pi\) | |||||||
\(158\) | 4.06250e11 | + | 2.02961e11i | 0.328231 | + | 0.163983i | ||||
\(159\) | 3.16376e12 | 2.46899 | ||||||||
\(160\) | 8.58958e11 | − | 3.40049e10i | 0.647608 | − | 0.0256378i | ||||
\(161\) | −1.12887e12 | −0.822434 | ||||||||
\(162\) | −1.60100e12 | − | 7.99856e11i | −1.12735 | − | 0.563221i | ||||
\(163\) | −9.81653e11 | + | 9.81653e11i | −0.668230 | + | 0.668230i | −0.957306 | − | 0.289076i | \(-0.906652\pi\) |
0.289076 | + | 0.957306i | \(0.406652\pi\) | |||||||
\(164\) | −1.95851e12 | + | 1.47085e12i | −1.28909 | + | 0.968118i | ||||
\(165\) | −1.36141e12 | − | 1.36141e12i | −0.866617 | − | 0.866617i | ||||
\(166\) | −2.84806e11 | + | 9.50375e10i | −0.175370 | + | 0.0585195i | ||||
\(167\) | 1.29195e12i | 0.769669i | 0.922986 | + | 0.384835i | \(0.125742\pi\) | ||||
−0.922986 | + | 0.384835i | \(0.874258\pi\) | |||||||
\(168\) | 1.24524e12 | − | 1.80240e12i | 0.717880 | − | 1.03908i | ||||
\(169\) | − | 7.41968e11i | − | 0.414008i | ||||||
\(170\) | 3.60405e11 | + | 1.08006e12i | 0.194680 | + | 0.583414i | ||||
\(171\) | 2.88395e12 | + | 2.88395e12i | 1.50838 | + | 1.50838i | ||||
\(172\) | 5.14826e11 | − | 3.62045e12i | 0.260768 | − | 1.83382i | ||||
\(173\) | 4.67645e11 | − | 4.67645e11i | 0.229437 | − | 0.229437i | −0.583021 | − | 0.812457i | \(-0.698129\pi\) |
0.812457 | + | 0.583021i | \(0.198129\pi\) | |||||||
\(174\) | 2.81094e12 | − | 5.62642e12i | 1.33608 | − | 2.67430i | ||||
\(175\) | 9.05526e11 | 0.417053 | ||||||||
\(176\) | 2.11362e12 | − | 1.16263e12i | 0.943423 | − | 0.518944i | ||||
\(177\) | −2.91216e12 | −1.25997 | ||||||||
\(178\) | −5.90596e11 | + | 1.18215e12i | −0.247731 | + | 0.495862i | ||||
\(179\) | −2.41512e12 | + | 2.41512e12i | −0.982308 | + | 0.982308i | −0.999846 | − | 0.0175385i | \(-0.994417\pi\) |
0.0175385 | + | 0.999846i | \(0.494417\pi\) | |||||||
\(180\) | −3.39061e12 | − | 4.82143e11i | −1.33745 | − | 0.190185i | ||||
\(181\) | −2.56410e11 | − | 2.56410e11i | −0.0981076 | − | 0.0981076i | 0.656349 | − | 0.754457i | \(-0.272100\pi\) |
−0.754457 | + | 0.656349i | \(0.772100\pi\) | |||||||
\(182\) | 7.29192e11 | + | 2.18523e12i | 0.270676 | + | 0.811155i | ||||
\(183\) | − | 3.52079e12i | − | 1.26812i | ||||||
\(184\) | −3.21853e12 | + | 5.88402e11i | −1.12502 | + | 0.205672i | ||||
\(185\) | 4.11874e11i | 0.139740i | ||||||||
\(186\) | −2.42553e12 | + | 8.09377e11i | −0.798886 | + | 0.266581i | ||||
\(187\) | 2.25929e12 | + | 2.25929e12i | 0.722507 | + | 0.722507i | ||||
\(188\) | 6.50607e11 | + | 8.66312e11i | 0.202046 | + | 0.269033i | ||||
\(189\) | −3.21060e12 | + | 3.21060e12i | −0.968383 | + | 0.968383i | ||||
\(190\) | 2.02518e12 | + | 1.01177e12i | 0.593360 | + | 0.296441i | ||||
\(191\) | −3.93101e12 | −1.11897 | −0.559487 | − | 0.828839i | \(-0.689002\pi\) | ||||
−0.559487 | + | 0.828839i | \(0.689002\pi\) | |||||||
\(192\) | 2.61084e12 | − | 5.78789e12i | 0.722144 | − | 1.60090i | ||||
\(193\) | −2.53145e11 | −0.0680463 | −0.0340231 | − | 0.999421i | \(-0.510832\pi\) | ||||
−0.0340231 | + | 0.999421i | \(0.510832\pi\) | |||||||
\(194\) | 4.40718e11 | + | 2.20181e11i | 0.115147 | + | 0.0575269i | ||||
\(195\) | 3.76822e12 | − | 3.76822e12i | 0.957075 | − | 0.957075i | ||||
\(196\) | 1.17424e12 | + | 1.56355e12i | 0.289966 | + | 0.386102i | ||||
\(197\) | −1.37479e12 | − | 1.37479e12i | −0.330119 | − | 0.330119i | 0.522512 | − | 0.852632i | \(-0.324995\pi\) |
−0.852632 | + | 0.522512i | \(0.824995\pi\) | |||||||
\(198\) | −9.11620e12 | + | 3.04200e12i | −2.12890 | + | 0.710396i | ||||
\(199\) | − | 3.74912e12i | − | 0.851604i | −0.904816 | − | 0.425802i | \(-0.859992\pi\) | ||
0.904816 | − | 0.425802i | \(-0.140008\pi\) | |||||||
\(200\) | 2.58175e12 | − | 4.71988e11i | 0.570492 | − | 0.104296i | ||||
\(201\) | − | 1.30519e12i | − | 0.280606i | ||||||
\(202\) | 8.02020e11 | + | 2.40348e12i | 0.167785 | + | 0.502814i | ||||
\(203\) | −4.25138e12 | − | 4.25138e12i | −0.865569 | − | 0.865569i | ||||
\(204\) | 8.32630e12 | + | 1.18400e12i | 1.65001 | + | 0.234630i | ||||
\(205\) | 3.82990e12 | − | 3.82990e12i | 0.738825 | − | 0.738825i | ||||
\(206\) | −3.93305e12 | + | 7.87245e12i | −0.738686 | + | 1.47856i | ||||
\(207\) | 1.30349e13 | 2.38381 | ||||||||
\(208\) | 3.21801e12 | + | 5.85024e12i | 0.573112 | + | 1.04190i | ||||
\(209\) | 6.35276e12 | 1.10194 | ||||||||
\(210\) | −2.16511e12 | + | 4.33371e12i | −0.365825 | + | 0.732240i | ||||
\(211\) | 2.83472e11 | − | 2.83472e11i | 0.0466613 | − | 0.0466613i | −0.683391 | − | 0.730052i | \(-0.739496\pi\) |
0.730052 | + | 0.683391i | \(0.239496\pi\) | |||||||
\(212\) | 1.23405e12 | − | 8.67833e12i | 0.197919 | − | 1.39184i | ||||
\(213\) | −9.89530e11 | − | 9.89530e11i | −0.154647 | − | 0.154647i | ||||
\(214\) | 1.80388e12 | + | 5.40584e12i | 0.274747 | + | 0.823356i | ||||
\(215\) | 8.08661e12i | 1.20048i | ||||||||
\(216\) | −7.48031e12 | + | 1.08272e13i | −1.08249 | + | 1.56683i | ||||
\(217\) | 2.44433e12i | 0.344850i | ||||||||
\(218\) | 8.76959e12 | − | 2.92634e12i | 1.20634 | − | 0.402544i | ||||
\(219\) | −4.10297e12 | − | 4.10297e12i | −0.550371 | − | 0.550371i | ||||
\(220\) | −4.26544e12 | + | 3.20338e12i | −0.558006 | + | 0.419067i | ||||
\(221\) | −6.25343e12 | + | 6.25343e12i | −0.797923 | + | 0.797923i | ||||
\(222\) | 2.72149e12 | + | 1.35965e12i | 0.338740 | + | 0.169233i | ||||
\(223\) | −1.20742e13 | −1.46617 | −0.733083 | − | 0.680139i | \(-0.761919\pi\) | ||||
−0.733083 | + | 0.680139i | \(0.761919\pi\) | |||||||
\(224\) | −4.45835e12 | − | 4.11879e12i | −0.528214 | − | 0.487984i | ||||
\(225\) | −1.04560e13 | −1.20882 | ||||||||
\(226\) | 5.67644e12 | + | 2.83593e12i | 0.640441 | + | 0.319963i | ||||
\(227\) | 9.65173e12 | − | 9.65173e12i | 1.06283 | − | 1.06283i | 0.0649391 | − | 0.997889i | \(-0.479315\pi\) |
0.997889 | − | 0.0649391i | \(-0.0206853\pi\) | |||||||
\(228\) | 1.33707e13 | − | 1.00415e13i | 1.43719 | − | 1.07934i | ||||
\(229\) | 6.95530e11 | + | 6.95530e11i | 0.0729829 | + | 0.0729829i | 0.742656 | − | 0.669673i | \(-0.233566\pi\) |
−0.669673 | + | 0.742656i | \(0.733566\pi\) | |||||||
\(230\) | 6.86321e12 | − | 2.29020e12i | 0.703112 | − | 0.234622i | ||||
\(231\) | 1.35944e13i | 1.35986i | ||||||||
\(232\) | −1.43371e13 | − | 9.90518e12i | −1.40048 | − | 0.967561i | ||||
\(233\) | − | 1.65081e13i | − | 1.57485i | −0.616408 | − | 0.787427i | \(-0.711413\pi\) | ||
0.616408 | − | 0.787427i | \(-0.288587\pi\) | |||||||
\(234\) | −8.41989e12 | − | 2.52326e13i | −0.784548 | − | 2.35112i | ||||
\(235\) | −1.69409e12 | − | 1.69409e12i | −0.154192 | − | 0.154192i | ||||
\(236\) | −1.13592e12 | + | 7.98818e12i | −0.101002 | + | 0.710284i | ||||
\(237\) | −5.24503e12 | + | 5.24503e12i | −0.455651 | + | 0.455651i | ||||
\(238\) | 3.59304e12 | − | 7.19187e12i | 0.304992 | − | 0.610476i | ||||
\(239\) | −9.73064e12 | −0.807147 | −0.403574 | − | 0.914947i | \(-0.632232\pi\) | ||||
−0.403574 | + | 0.914947i | \(0.632232\pi\) | |||||||
\(240\) | −3.91409e12 | + | 1.34844e13i | −0.317299 | + | 1.09312i | ||||
\(241\) | 1.62613e13 | 1.28843 | 0.644217 | − | 0.764843i | \(-0.277184\pi\) | ||||
0.644217 | + | 0.764843i | \(0.277184\pi\) | |||||||
\(242\) | −9.19536e11 | + | 1.84056e12i | −0.0712171 | + | 0.142549i | ||||
\(243\) | 2.88430e12 | − | 2.88430e12i | 0.218376 | − | 0.218376i | ||||
\(244\) | −9.65769e12 | − | 1.37332e12i | −0.714874 | − | 0.101655i | ||||
\(245\) | −3.05755e12 | − | 3.05755e12i | −0.221289 | − | 0.221289i | ||||
\(246\) | −1.26634e13 | − | 3.79494e13i | −0.896204 | − | 2.68573i | ||||
\(247\) | 1.75837e13i | 1.21696i | ||||||||
\(248\) | 1.27406e12 | + | 6.96903e12i | 0.0862393 | + | 0.471724i | ||||
\(249\) | − | 4.90411e12i | − | 0.324686i | ||||||
\(250\) | −1.49982e13 | + | 5.00477e12i | −0.971335 | + | 0.324126i | ||||
\(251\) | 8.99971e12 | + | 8.99971e12i | 0.570195 | + | 0.570195i | 0.932183 | − | 0.361988i | \(-0.117902\pi\) |
−0.361988 | + | 0.932183i | \(0.617902\pi\) | |||||||
\(252\) | 1.45213e13 | + | 1.93357e13i | 0.900122 | + | 1.19855i | ||||
\(253\) | 1.43566e13 | − | 1.43566e13i | 0.870743 | − | 0.870743i | ||||
\(254\) | 2.47841e12 | + | 1.23821e12i | 0.147092 | + | 0.0734866i | ||||
\(255\) | −1.85976e13 | −1.08015 | ||||||||
\(256\) | −1.48581e13 | − | 9.41928e12i | −0.844583 | − | 0.535424i | ||||
\(257\) | −1.01028e13 | −0.562097 | −0.281049 | − | 0.959694i | \(-0.590682\pi\) | ||||
−0.281049 | + | 0.959694i | \(0.590682\pi\) | |||||||
\(258\) | 5.34330e13 | + | 2.66950e13i | 2.91005 | + | 1.45385i | ||||
\(259\) | 2.05639e12 | − | 2.05639e12i | 0.109637 | − | 0.109637i | ||||
\(260\) | −8.86657e12 | − | 1.18062e13i | −0.462809 | − | 0.616251i | ||||
\(261\) | 4.90902e13 | + | 4.90902e13i | 2.50883 | + | 2.50883i | ||||
\(262\) | −2.57489e13 | + | 8.59219e12i | −1.28855 | + | 0.429979i | ||||
\(263\) | − | 7.04166e12i | − | 0.345079i | −0.985003 | − | 0.172539i | \(-0.944803\pi\) | ||
0.985003 | − | 0.172539i | \(-0.0551972\pi\) | |||||||
\(264\) | 7.08581e12 | + | 3.87590e13i | 0.340070 | + | 1.86016i | ||||
\(265\) | 1.93839e13i | 0.911146i | ||||||||
\(266\) | −5.05968e12 | − | 1.51628e13i | −0.232956 | − | 0.698118i | ||||
\(267\) | −1.52625e13 | − | 1.52625e13i | −0.688357 | − | 0.688357i | ||||
\(268\) | −3.58021e12 | − | 5.09104e11i | −0.158186 | − | 0.0224939i | ||||
\(269\) | 1.91908e13 | − | 1.91908e13i | 0.830724 | − | 0.830724i | −0.156892 | − | 0.987616i | \(-0.550148\pi\) |
0.987616 | + | 0.156892i | \(0.0501475\pi\) | |||||||
\(270\) | 1.30061e13 | − | 2.60331e13i | 0.551627 | − | 1.10414i | ||||
\(271\) | 9.16522e12 | 0.380901 | 0.190450 | − | 0.981697i | \(-0.439005\pi\) | ||||
0.190450 | + | 0.981697i | \(0.439005\pi\) | |||||||
\(272\) | 6.49551e12 | − | 2.23776e13i | 0.264536 | − | 0.911348i | ||||
\(273\) | −3.76276e13 | −1.50180 | ||||||||
\(274\) | −1.00552e12 | + | 2.01265e12i | −0.0393333 | + | 0.0787301i | ||||
\(275\) | −1.15162e13 | + | 1.15162e13i | −0.441550 | + | 0.441550i | ||||
\(276\) | 7.52370e12 | − | 5.29095e13i | 0.282769 | − | 1.98854i | ||||
\(277\) | 2.10664e13 | + | 2.10664e13i | 0.776159 | + | 0.776159i | 0.979175 | − | 0.203016i | \(-0.0650744\pi\) |
−0.203016 | + | 0.979175i | \(0.565074\pi\) | |||||||
\(278\) | 4.65751e11 | + | 1.39575e12i | 0.0168232 | + | 0.0504153i | ||||
\(279\) | − | 2.82244e13i | − | 0.999542i | ||||||
\(280\) | 1.10430e13 | + | 7.62939e12i | 0.383459 | + | 0.264924i | ||||
\(281\) | 2.26509e13i | 0.771259i | 0.922654 | + | 0.385629i | \(0.126016\pi\) | ||||
−0.922654 | + | 0.385629i | \(0.873984\pi\) | |||||||
\(282\) | −1.67862e13 | + | 5.60143e12i | −0.560510 | + | 0.187037i | ||||
\(283\) | −3.00585e12 | − | 3.00585e12i | −0.0984334 | − | 0.0984334i | 0.656175 | − | 0.754609i | \(-0.272173\pi\) |
−0.754609 | + | 0.656175i | \(0.772173\pi\) | |||||||
\(284\) | −3.10030e12 | + | 2.32835e12i | −0.0995756 | + | 0.0747821i | ||||
\(285\) | −2.61468e13 | + | 2.61468e13i | −0.823704 | + | 0.823704i | ||||
\(286\) | −3.70648e13 | − | 1.85174e13i | −1.14538 | − | 0.572226i | ||||
\(287\) | −3.82435e13 | −1.15933 | ||||||||
\(288\) | 5.14800e13 | + | 4.75592e13i | 1.53102 | + | 1.41441i | ||||
\(289\) | −3.40887e12 | −0.0994653 | ||||||||
\(290\) | 3.44722e13 | + | 1.72222e13i | 0.986916 | + | 0.493060i | ||||
\(291\) | −5.69004e12 | + | 5.69004e12i | −0.159847 | + | 0.159847i | ||||
\(292\) | −1.28550e13 | + | 9.65423e12i | −0.354379 | + | 0.266141i | ||||
\(293\) | 2.78428e13 | + | 2.78428e13i | 0.753252 | + | 0.753252i | 0.975085 | − | 0.221832i | \(-0.0712038\pi\) |
−0.221832 | + | 0.975085i | \(0.571204\pi\) | |||||||
\(294\) | −3.02964e13 | + | 1.01096e13i | −0.804415 | + | 0.268426i | ||||
\(295\) | − | 1.78424e13i | − | 0.464976i | ||||||
\(296\) | 4.79113e12 | − | 6.93484e12i | 0.122556 | − | 0.177391i | ||||
\(297\) | − | 8.16631e13i | − | 2.05053i | ||||||
\(298\) | 7.20879e12 | + | 2.16032e13i | 0.177694 | + | 0.532510i | ||||
\(299\) | 3.97375e13 | + | 3.97375e13i | 0.961631 | + | 0.961631i | ||||
\(300\) | −6.03516e12 | + | 4.24415e13i | −0.143391 | + | 1.00838i | ||||
\(301\) | 4.03745e13 | − | 4.03745e13i | 0.941871 | − | 0.941871i | ||||
\(302\) | 1.97484e13 | − | 3.95287e13i | 0.452371 | − | 0.905471i | ||||
\(303\) | −4.13857e13 | −0.930928 | ||||||||
\(304\) | −2.23290e13 | − | 4.05933e13i | −0.493247 | − | 0.896706i | ||||
\(305\) | 2.15714e13 | 0.467981 | ||||||||
\(306\) | −4.14884e13 | + | 8.30437e13i | −0.884014 | + | 1.76945i | ||||
\(307\) | 4.42585e13 | − | 4.42585e13i | 0.926265 | − | 0.926265i | −0.0711968 | − | 0.997462i | \(-0.522682\pi\) |
0.997462 | + | 0.0711968i | \(0.0226818\pi\) | |||||||
\(308\) | 3.72900e13 | + | 5.30262e12i | 0.766591 | + | 0.109009i | ||||
\(309\) | −1.01640e14 | − | 1.01640e14i | −2.05255 | − | 2.05255i | ||||
\(310\) | −4.95893e12 | − | 1.48608e13i | −0.0983782 | − | 0.294818i | ||||
\(311\) | − | 2.67481e13i | − | 0.521328i | −0.965430 | − | 0.260664i | \(-0.916059\pi\) | ||
0.965430 | − | 0.260664i | \(-0.0839414\pi\) | |||||||
\(312\) | −1.07280e14 | + | 1.96127e13i | −2.05433 | + | 0.375567i | ||||
\(313\) | − | 3.29514e13i | − | 0.619984i | −0.950739 | − | 0.309992i | \(-0.899674\pi\) | ||
0.950739 | − | 0.309992i | \(-0.100326\pi\) | |||||||
\(314\) | 6.26419e13 | − | 2.09031e13i | 1.15812 | − | 0.386453i | ||||
\(315\) | −3.78114e13 | − | 3.78114e13i | −0.686933 | − | 0.686933i | ||||
\(316\) | 1.23415e13 | + | 1.64332e13i | 0.220338 | + | 0.293389i | ||||
\(317\) | −2.04590e13 | + | 2.04590e13i | −0.358970 | + | 0.358970i | −0.863433 | − | 0.504463i | \(-0.831690\pi\) |
0.504463 | + | 0.863433i | \(0.331690\pi\) | |||||||
\(318\) | 1.28080e14 | + | 6.39886e13i | 2.20868 | + | 1.10345i | ||||
\(319\) | 1.08136e14 | 1.83282 | ||||||||
\(320\) | 3.54615e13 | + | 1.59962e13i | 0.590790 | + | 0.266497i | ||||
\(321\) | −9.30837e13 | −1.52439 | ||||||||
\(322\) | −4.57008e13 | − | 2.28320e13i | −0.735726 | − | 0.367567i | ||||
\(323\) | 4.33910e13 | − | 4.33910e13i | 0.686730 | − | 0.686730i | ||||
\(324\) | −4.86369e13 | − | 6.47622e13i | −0.756778 | − | 1.00768i | ||||
\(325\) | −3.18755e13 | − | 3.18755e13i | −0.487640 | − | 0.487640i | ||||
\(326\) | −5.95954e13 | + | 1.98865e13i | −0.896429 | + | 0.299131i | ||||
\(327\) | 1.51004e14i | 2.23345i | ||||||||
\(328\) | −1.09036e14 | + | 1.99337e13i | −1.58586 | + | 0.289923i | ||||
\(329\) | 1.69164e13i | 0.241952i | ||||||||
\(330\) | −2.75796e13 | − | 8.26501e13i | −0.387938 | − | 1.16256i | ||||
\(331\) | 4.62084e13 | + | 4.62084e13i | 0.639245 | + | 0.639245i | 0.950369 | − | 0.311124i | \(-0.100706\pi\) |
−0.311124 | + | 0.950369i | \(0.600706\pi\) | |||||||
\(332\) | −1.34522e13 | − | 1.91289e12i | −0.183035 | − | 0.0260275i | ||||
\(333\) | −2.37449e13 | + | 2.37449e13i | −0.317780 | + | 0.317780i | ||||
\(334\) | −2.61303e13 | + | 5.23028e13i | −0.343985 | + | 0.688524i | ||||
\(335\) | 7.99673e12 | 0.103554 | ||||||||
\(336\) | 8.68663e13 | − | 4.77821e13i | 1.10659 | − | 0.608695i | ||||
\(337\) | 1.26706e14 | 1.58793 | 0.793967 | − | 0.607961i | \(-0.208012\pi\) | ||||
0.793967 | + | 0.607961i | \(0.208012\pi\) | |||||||
\(338\) | 1.50067e13 | − | 3.00376e13i | 0.185031 | − | 0.370359i | ||||
\(339\) | −7.32876e13 | + | 7.32876e13i | −0.889063 | + | 0.889063i | ||||
\(340\) | −7.25416e12 | + | 5.10140e13i | −0.0865871 | + | 0.608913i | ||||
\(341\) | −3.10863e13 | − | 3.10863e13i | −0.365106 | − | 0.365106i | ||||
\(342\) | 5.84236e13 | + | 1.75083e14i | 0.675219 | + | 2.02348i | ||||
\(343\) | 9.37609e13i | 1.06636i | ||||||||
\(344\) | 9.40675e13 | − | 1.36156e14i | 1.05285 | − | 1.52394i | ||||
\(345\) | 1.18178e14i | 1.30177i | ||||||||
\(346\) | 2.83904e13 | − | 9.47363e12i | 0.307789 | − | 0.102706i | ||||
\(347\) | −5.70643e13 | − | 5.70643e13i | −0.608909 | − | 0.608909i | 0.333752 | − | 0.942661i | \(-0.391685\pi\) |
−0.942661 | + | 0.333752i | \(0.891685\pi\) | |||||||
\(348\) | 2.27594e14 | − | 1.70925e14i | 2.39043 | − | 1.79523i | ||||
\(349\) | −1.09506e14 | + | 1.09506e14i | −1.13213 | + | 1.13213i | −0.142310 | + | 0.989822i | \(0.545453\pi\) |
−0.989822 | + | 0.142310i | \(0.954547\pi\) | |||||||
\(350\) | 3.66590e13 | + | 1.83147e13i | 0.373084 | + | 0.186392i | ||||
\(351\) | 2.26034e14 | 2.26456 | ||||||||
\(352\) | 1.09082e14 | − | 4.31838e12i | 1.07589 | − | 0.0425928i | ||||
\(353\) | −1.29109e14 | −1.25371 | −0.626854 | − | 0.779136i | \(-0.715658\pi\) | ||||
−0.626854 | + | 0.779136i | \(0.715658\pi\) | |||||||
\(354\) | −1.17895e14 | − | 5.88999e13i | −1.12714 | − | 0.563115i | ||||
\(355\) | 6.06270e12 | − | 6.06270e12i | 0.0570703 | − | 0.0570703i | ||||
\(356\) | −4.78190e13 | + | 3.59125e13i | −0.443227 | + | 0.332866i | ||||
\(357\) | 9.28532e13 | + | 9.28532e13i | 0.847465 | + | 0.847465i | ||||
\(358\) | −1.46620e14 | + | 4.89259e13i | −1.31776 | + | 0.439726i | ||||
\(359\) | − | 8.35761e13i | − | 0.739712i | −0.929089 | − | 0.369856i | \(-0.879407\pi\) | ||
0.929089 | − | 0.369856i | \(-0.120593\pi\) | |||||||
\(360\) | −1.27513e14 | − | 8.80958e13i | −1.11145 | − | 0.767876i | ||||
\(361\) | − | 5.51866e12i | − | 0.0473744i | ||||||
\(362\) | −5.19439e12 | − | 1.55664e13i | −0.0439175 | − | 0.131611i | ||||
\(363\) | −2.37631e13 | − | 2.37631e13i | −0.197887 | − | 0.197887i | ||||
\(364\) | −1.46770e13 | + | 1.03214e14i | −0.120387 | + | 0.846608i | ||||
\(365\) | 2.51383e13 | − | 2.51383e13i | 0.203107 | − | 0.203107i | ||||
\(366\) | 7.12099e13 | − | 1.42535e14i | 0.566754 | − | 1.13442i | ||||
\(367\) | −1.22093e14 | −0.957253 | −0.478626 | − | 0.878019i | \(-0.658865\pi\) | ||||
−0.478626 | + | 0.878019i | \(0.658865\pi\) | |||||||
\(368\) | −1.42198e14 | − | 4.12757e13i | −1.09833 | − | 0.318810i | ||||
\(369\) | 4.41594e14 | 3.36030 | ||||||||
\(370\) | −8.33038e12 | + | 1.66742e13i | −0.0624533 | + | 0.125007i | ||||
\(371\) | 9.67789e13 | − | 9.67789e13i | 0.714865 | − | 0.714865i | ||||
\(372\) | −1.14564e14 | − | 1.62910e13i | −0.833802 | − | 0.118566i | ||||
\(373\) | −1.68544e14 | − | 1.68544e14i | −1.20869 | − | 1.20869i | −0.971451 | − | 0.237242i | \(-0.923756\pi\) |
−0.237242 | − | 0.971451i | \(-0.576244\pi\) | |||||||
\(374\) | 4.57689e13 | + | 1.37159e14i | 0.323428 | + | 0.969241i | ||||
\(375\) | − | 2.58255e14i | − | 1.79836i | ||||||
\(376\) | 8.81733e12 | + | 4.82303e13i | 0.0605068 | + | 0.330969i | ||||
\(377\) | 2.99307e14i | 2.02413i | ||||||||
\(378\) | −1.94913e14 | + | 6.50409e13i | −1.29908 | + | 0.433493i | ||||
\(379\) | 1.60222e14 | + | 1.60222e14i | 1.05247 | + | 1.05247i | 0.998545 | + | 0.0539201i | \(0.0171716\pi\) |
0.0539201 | + | 0.998545i | \(0.482828\pi\) | |||||||
\(380\) | 6.15229e13 | + | 8.19205e13i | 0.398316 | + | 0.530375i | ||||
\(381\) | −3.19984e13 | + | 3.19984e13i | −0.204193 | + | 0.204193i | ||||
\(382\) | −1.59142e14 | − | 7.95067e13i | −1.00100 | − | 0.500098i | ||||
\(383\) | −1.77441e14 | −1.10017 | −0.550086 | − | 0.835108i | \(-0.685405\pi\) | ||||
−0.550086 | + | 0.835108i | \(0.685405\pi\) | |||||||
\(384\) | 2.22760e14 | − | 1.81509e14i | 1.36149 | − | 1.10937i | ||||
\(385\) | −8.32907e13 | −0.501837 | ||||||||
\(386\) | −1.02482e13 | − | 5.12000e12i | −0.0608723 | − | 0.0304116i | ||||
\(387\) | −4.66200e14 | + | 4.66200e14i | −2.72999 | + | 2.72999i | ||||
\(388\) | 1.33886e13 | + | 1.78275e13i | 0.0772966 | + | 0.102924i | ||||
\(389\) | −1.26265e14 | − | 1.26265e14i | −0.718718 | − | 0.718718i | 0.249624 | − | 0.968343i | \(-0.419693\pi\) |
−0.968343 | + | 0.249624i | \(0.919693\pi\) | |||||||
\(390\) | 2.28766e14 | − | 7.63371e13i | 1.28391 | − | 0.428431i | ||||
\(391\) | − | 1.96119e14i | − | 1.08530i | ||||||
\(392\) | 1.59138e13 | + | 8.70477e13i | 0.0868362 | + | 0.474989i | ||||
\(393\) | − | 4.43373e14i | − | 2.38567i | ||||||
\(394\) | −2.78506e13 | − | 8.34622e13i | −0.147777 | − | 0.442854i | ||||
\(395\) | −3.21355e13 | − | 3.21355e13i | −0.168152 | − | 0.168152i | ||||
\(396\) | −4.30584e14 | − | 6.12288e13i | −2.22195 | − | 0.315960i | ||||
\(397\) | 2.09722e14 | − | 2.09722e14i | 1.06733 | − | 1.06733i | 0.0697623 | − | 0.997564i | \(-0.477776\pi\) |
0.997564 | − | 0.0697623i | \(-0.0222241\pi\) | |||||||
\(398\) | 7.58279e13 | − | 1.51778e14i | 0.380603 | − | 0.761820i | ||||
\(399\) | 2.61089e14 | 1.29252 | ||||||||
\(400\) | 1.14065e14 | + | 3.31095e13i | 0.556958 | + | 0.161667i | ||||
\(401\) | −2.06836e14 | −0.996168 | −0.498084 | − | 0.867129i | \(-0.665963\pi\) | ||||
−0.498084 | + | 0.867129i | \(0.665963\pi\) | |||||||
\(402\) | 2.63982e13 | − | 5.28391e13i | 0.125410 | − | 0.251022i | ||||
\(403\) | 8.60431e13 | − | 8.60431e13i | 0.403216 | − | 0.403216i | ||||
\(404\) | −1.61429e13 | + | 1.13523e14i | −0.0746250 | + | 0.524791i | ||||
\(405\) | 1.26644e14 | + | 1.26644e14i | 0.577539 | + | 0.577539i | ||||
\(406\) | −8.61250e13 | − | 2.58098e14i | −0.387468 | − | 1.16116i | ||||
\(407\) | 5.23052e13i | 0.232154i | ||||||||
\(408\) | 3.13132e14 | + | 2.16336e14i | 1.37119 | + | 0.947324i | ||||
\(409\) | 3.48873e14i | 1.50726i | 0.657297 | + | 0.753632i | \(0.271700\pi\) | ||||
−0.657297 | + | 0.753632i | \(0.728300\pi\) | |||||||
\(410\) | 2.32510e14 | − | 7.75867e13i | 0.991131 | − | 0.330732i | ||||
\(411\) | −2.59851e13 | − | 2.59851e13i | −0.109293 | − | 0.109293i | ||||
\(412\) | −3.18449e14 | + | 2.39158e14i | −1.32162 | + | 0.992543i | ||||
\(413\) | −8.90825e13 | + | 8.90825e13i | −0.364810 | + | 0.364810i | ||||
\(414\) | 5.27702e14 | + | 2.63638e14i | 2.13249 | + | 1.06538i | ||||
\(415\) | 3.00467e13 | 0.119821 | ||||||||
\(416\) | 1.19528e13 | + | 3.01925e14i | 0.0470387 | + | 1.18819i | ||||
\(417\) | −2.40336e13 | −0.0933406 | ||||||||
\(418\) | 2.57183e14 | + | 1.28488e14i | 0.985764 | + | 0.492485i | ||||
\(419\) | −2.52229e12 | + | 2.52229e12i | −0.00954155 | + | 0.00954155i | −0.711861 | − | 0.702320i | \(-0.752148\pi\) |
0.702320 | + | 0.711861i | \(0.252148\pi\) | |||||||
\(420\) | −1.75303e14 | + | 1.31654e14i | −0.654513 | + | 0.491544i | ||||
\(421\) | 1.37467e14 | + | 1.37467e14i | 0.506580 | + | 0.506580i | 0.913475 | − | 0.406895i | \(-0.133388\pi\) |
−0.406895 | + | 0.913475i | \(0.633388\pi\) | |||||||
\(422\) | 1.72094e13 | − | 5.74262e12i | 0.0625960 | − | 0.0208878i | ||||
\(423\) | − | 1.95331e14i | − | 0.701294i | ||||||
\(424\) | 2.25483e14 | − | 3.26371e14i | 0.799100 | − | 1.15664i | ||||
\(425\) | 1.57318e14i | 0.550349i | ||||||||
\(426\) | −2.00460e13 | − | 6.00736e13i | −0.0692270 | − | 0.207458i | ||||
\(427\) | −1.07701e14 | − | 1.07701e14i | −0.367168 | − | 0.367168i | ||||
\(428\) | −3.63082e13 | + | 2.55333e14i | −0.122198 | + | 0.859342i | ||||
\(429\) | 4.78538e14 | − | 4.78538e14i | 1.59001 | − | 1.59001i | ||||
\(430\) | −1.63556e14 | + | 3.27376e14i | −0.536525 | + | 1.07392i | ||||
\(431\) | −1.08957e13 | −0.0352882 | −0.0176441 | − | 0.999844i | \(-0.505617\pi\) | ||||
−0.0176441 | + | 0.999844i | \(0.505617\pi\) | |||||||
\(432\) | −5.21817e14 | + | 2.87033e14i | −1.66862 | + | 0.917850i | ||||
\(433\) | 9.41215e13 | 0.297170 | 0.148585 | − | 0.988900i | \(-0.452528\pi\) | ||||
0.148585 | + | 0.988900i | \(0.452528\pi\) | |||||||
\(434\) | −4.94378e13 | + | 9.89553e13i | −0.154122 | + | 0.308493i | ||||
\(435\) | −4.45066e14 | + | 4.45066e14i | −1.37004 | + | 1.37004i | ||||
\(436\) | 4.14212e14 | + | 5.89007e13i | 1.25906 | + | 0.179038i | ||||
\(437\) | −2.75728e14 | − | 2.75728e14i | −0.827625 | − | 0.827625i | ||||
\(438\) | −8.31186e13 | − | 2.49088e14i | −0.246371 | − | 0.738321i | ||||
\(439\) | − | 1.73610e14i | − | 0.508182i | −0.967180 | − | 0.254091i | \(-0.918224\pi\) | ||
0.967180 | − | 0.254091i | \(-0.0817763\pi\) | |||||||
\(440\) | −2.37471e14 | + | 4.34137e13i | −0.686468 | + | 0.125498i | ||||
\(441\) | − | 3.52540e14i | − | 1.00646i | ||||||
\(442\) | −3.79641e14 | + | 1.26683e14i | −1.07041 | + | 0.357187i | ||||
\(443\) | 1.24084e14 | + | 1.24084e14i | 0.345537 | + | 0.345537i | 0.858444 | − | 0.512907i | \(-0.171431\pi\) |
−0.512907 | + | 0.858444i | \(0.671431\pi\) | |||||||
\(444\) | 8.26764e13 | + | 1.10087e14i | 0.227392 | + | 0.302783i | ||||
\(445\) | 9.35111e13 | − | 9.35111e13i | 0.254029 | − | 0.254029i | ||||
\(446\) | −4.88810e14 | − | 2.44208e14i | −1.31159 | − | 0.655267i | ||||
\(447\) | −3.71987e14 | −0.985907 | ||||||||
\(448\) | −9.71856e13 | − | 2.56916e14i | −0.254433 | − | 0.672609i | ||||
\(449\) | 3.76031e14 | 0.972452 | 0.486226 | − | 0.873833i | \(-0.338373\pi\) | ||||
0.486226 | + | 0.873833i | \(0.338373\pi\) | |||||||
\(450\) | −4.23298e14 | − | 2.11478e14i | −1.08138 | − | 0.540253i | ||||
\(451\) | 4.86371e14 | − | 4.86371e14i | 1.22743 | − | 1.22743i | ||||
\(452\) | 1.72445e14 | + | 2.29618e14i | 0.429921 | + | 0.572459i | ||||
\(453\) | 5.10349e14 | + | 5.10349e14i | 1.25698 | + | 1.25698i | ||||
\(454\) | 5.85949e14 | − | 1.95526e14i | 1.42578 | − | 0.475771i | ||||
\(455\) | − | 2.30539e14i | − | 0.554219i | ||||||
\(456\) | 7.44392e14 | − | 1.36088e14i | 1.76805 | − | 0.323230i | ||||
\(457\) | − | 1.37694e14i | − | 0.323130i | −0.986862 | − | 0.161565i | \(-0.948346\pi\) | ||
0.986862 | − | 0.161565i | \(-0.0516542\pi\) | |||||||
\(458\) | 1.40902e13 | + | 4.22251e13i | 0.0326705 | + | 0.0979063i | ||||
\(459\) | −5.57781e14 | − | 5.57781e14i | −1.27789 | − | 1.27789i | ||||
\(460\) | 3.24169e14 | + | 4.60966e13i | 0.733842 | + | 0.104352i | ||||
\(461\) | −6.11026e14 | + | 6.11026e14i | −1.36680 | + | 1.36680i | −0.501839 | + | 0.864961i | \(0.667343\pi\) |
−0.864961 | + | 0.501839i | \(0.832657\pi\) | |||||||
\(462\) | −2.74954e14 | + | 5.50350e14i | −0.607755 | + | 1.21649i | ||||
\(463\) | −4.91890e14 | −1.07442 | −0.537209 | − | 0.843449i | \(-0.680521\pi\) | ||||
−0.537209 | + | 0.843449i | \(0.680521\pi\) | |||||||
\(464\) | −3.80080e14 | − | 6.90973e14i | −0.820401 | − | 1.49146i | ||||
\(465\) | 2.55890e14 | 0.545836 | ||||||||
\(466\) | 3.33885e14 | − | 6.68309e14i | 0.703842 | − | 1.40882i | ||||
\(467\) | 1.36385e14 | − | 1.36385e14i | 0.284134 | − | 0.284134i | −0.550621 | − | 0.834755i | \(-0.685609\pi\) |
0.834755 | + | 0.550621i | \(0.185609\pi\) | |||||||
\(468\) | 1.69474e14 | − | 1.19180e15i | 0.348940 | − | 2.45388i | ||||
\(469\) | −3.99257e13 | − | 3.99257e13i | −0.0812461 | − | 0.0812461i | ||||
\(470\) | −3.43191e13 | − | 1.02847e14i | −0.0690236 | − | 0.206849i | ||||
\(471\) | 1.07864e15i | 2.14417i | ||||||||
\(472\) | −2.07551e14 | + | 3.00416e14i | −0.407797 | + | 0.590259i | ||||
\(473\) | 1.02694e15i | 1.99439i | ||||||||
\(474\) | −3.18422e14 | + | 1.06255e14i | −0.611254 | + | 0.203970i | ||||
\(475\) | 2.21177e14 | + | 2.21177e14i | 0.419686 | + | 0.419686i | ||||
\(476\) | 2.90919e14 | − | 2.18482e14i | 0.545674 | − | 0.409806i | ||||
\(477\) | −1.11750e15 | + | 1.11750e15i | −2.07202 | + | 2.07202i | ||||
\(478\) | −3.93932e14 | − | 1.96807e14i | −0.722051 | − | 0.360735i | ||||
\(479\) | 3.59543e14 | 0.651487 | 0.325744 | − | 0.945458i | \(-0.394385\pi\) | ||||
0.325744 | + | 0.945458i | \(0.394385\pi\) | |||||||
\(480\) | −4.31185e14 | + | 4.66733e14i | −0.772391 | + | 0.836068i | ||||
\(481\) | −1.44774e14 | −0.256386 | ||||||||
\(482\) | 6.58318e14 | + | 3.28894e14i | 1.15260 | + | 0.575833i | ||||
\(483\) | 5.90036e14 | − | 5.90036e14i | 1.02134 | − | 1.02134i | ||||
\(484\) | −7.44524e13 | + | 5.59143e13i | −0.127418 | + | 0.0956916i | ||||
\(485\) | −3.48620e13 | − | 3.48620e13i | −0.0589893 | − | 0.0589893i | ||||
\(486\) | 1.75103e14 | − | 5.84305e13i | 0.292951 | − | 0.0977553i | ||||
\(487\) | 8.67572e14i | 1.43515i | 0.696483 | + | 0.717573i | \(0.254747\pi\) | ||||
−0.696483 | + | 0.717573i | \(0.745253\pi\) | |||||||
\(488\) | −3.63203e14 | − | 2.50929e14i | −0.594074 | − | 0.410433i | ||||
\(489\) | − | 1.02618e15i | − | 1.65968i | ||||||
\(490\) | −6.19402e13 | − | 1.85621e14i | −0.0990591 | − | 0.296858i | ||||
\(491\) | −4.96939e13 | − | 4.96939e13i | −0.0785877 | − | 0.0785877i | 0.666720 | − | 0.745308i | \(-0.267698\pi\) |
−0.745308 | + | 0.666720i | \(0.767698\pi\) | |||||||
\(492\) | 2.54886e14 | − | 1.79245e15i | 0.398601 | − | 2.80311i | ||||
\(493\) | 7.38595e14 | − | 7.38595e14i | 1.14222 | − | 1.14222i | ||||
\(494\) | −3.55640e14 | + | 7.11853e14i | −0.543891 | + | 1.08866i | ||||
\(495\) | 9.61749e14 | 1.45456 | ||||||||
\(496\) | −8.93738e13 | + | 3.07901e14i | −0.133678 | + | 0.460534i | ||||
\(497\) | −6.05392e13 | −0.0895523 | ||||||||
\(498\) | 9.91882e13 | − | 1.98536e14i | 0.145110 | − | 0.290455i | ||||
\(499\) | −2.77104e14 | + | 2.77104e14i | −0.400950 | + | 0.400950i | −0.878568 | − | 0.477618i | \(-0.841500\pi\) |
0.477618 | + | 0.878568i | \(0.341500\pi\) | |||||||
\(500\) | −7.08407e14 | − | 1.00735e14i | −1.01379 | − | 0.144160i | ||||
\(501\) | −6.75273e14 | − | 6.75273e14i | −0.955811 | − | 0.955811i | ||||
\(502\) | 1.82317e14 | + | 5.46365e14i | 0.255245 | + | 0.764914i | ||||
\(503\) | 5.28828e14i | 0.732303i | 0.930555 | + | 0.366151i | \(0.119325\pi\) | ||||
−0.930555 | + | 0.366151i | \(0.880675\pi\) | |||||||
\(504\) | 1.96799e14 | + | 1.07648e15i | 0.269560 | + | 1.47448i | ||||
\(505\) | − | 2.53564e14i | − | 0.343546i | ||||||
\(506\) | 8.71580e14 | − | 2.90839e14i | 1.16810 | − | 0.389784i | ||||
\(507\) | 3.87811e14 | + | 3.87811e14i | 0.514134 | + | 0.514134i | ||||
\(508\) | 7.52918e13 | + | 1.00254e14i | 0.0987410 | + | 0.131478i | ||||
\(509\) | 7.87171e14 | − | 7.87171e14i | 1.02122 | − | 1.02122i | 0.0214544 | − | 0.999770i | \(-0.493170\pi\) |
0.999770 | − | 0.0214544i | \(-0.00682967\pi\) | |||||||
\(510\) | −7.52898e14 | − | 3.76146e14i | −0.966274 | − | 0.482748i | ||||
\(511\) | −2.51019e14 | −0.318707 | ||||||||
\(512\) | −4.10999e14 | − | 6.81839e14i | −0.516245 | − | 0.856441i | ||||
\(513\) | −1.56839e15 | −1.94899 | ||||||||
\(514\) | −4.09000e14 | − | 2.04335e14i | −0.502836 | − | 0.251216i | ||||
\(515\) | 6.22733e14 | − | 6.22733e14i | 0.757464 | − | 0.757464i | ||||
\(516\) | 1.62324e15 | + | 2.16142e15i | 1.95349 | + | 2.60115i | ||||
\(517\) | −2.15137e14 | − | 2.15137e14i | −0.256164 | − | 0.256164i | ||||
\(518\) | 1.24842e14 | − | 4.16586e13i | 0.147077 | − | 0.0490785i | ||||
\(519\) | 4.88857e14i | 0.569851i | ||||||||
\(520\) | −1.20164e14 | − | 6.57291e14i | −0.138598 | − | 0.758122i | ||||
\(521\) | 7.63542e13i | 0.0871416i | 0.999050 | + | 0.0435708i | \(0.0138734\pi\) | ||||
−0.999050 | + | 0.0435708i | \(0.986127\pi\) | |||||||
\(522\) | 9.94476e14 | + | 2.98023e15i | 1.12307 | + | 3.36559i | ||||
\(523\) | 1.04168e15 | + | 1.04168e15i | 1.16406 | + | 1.16406i | 0.983578 | + | 0.180486i | \(0.0577671\pi\) |
0.180486 | + | 0.983578i | \(0.442233\pi\) | |||||||
\(524\) | −1.21619e15 | − | 1.72942e14i | −1.34487 | − | 0.191240i | ||||
\(525\) | −4.73299e14 | + | 4.73299e14i | −0.517916 | + | 0.517916i | ||||
\(526\) | 1.42421e14 | − | 2.85072e14i | 0.154225 | − | 0.308698i | ||||
\(527\) | −4.24655e14 | −0.455069 | ||||||||
\(528\) | −4.97062e14 | + | 1.71242e15i | −0.527137 | + | 1.81603i | ||||
\(529\) | −2.93430e14 | −0.307963 | ||||||||
\(530\) | −3.92049e14 | + | 7.84730e14i | −0.407214 | + | 0.815085i | ||||
\(531\) | 1.02863e15 | − | 1.02863e15i | 1.05740 | − | 1.05740i | ||||
\(532\) | 1.01840e14 | − | 7.16179e14i | 0.103611 | − | 0.728630i | ||||
\(533\) | 1.34622e15 | + | 1.34622e15i | 1.35555 | + | 1.35555i | ||||
\(534\) | −3.09190e14 | − | 9.26574e14i | −0.308140 | − | 0.923429i | ||||
\(535\) | − | 5.70310e14i | − | 0.562555i | ||||||
\(536\) | −1.34643e14 | − | 9.30220e13i | −0.131455 | − | 0.0908195i | ||||
\(537\) | − | 2.52467e15i | − | 2.43975i | ||||||
\(538\) | 1.16506e15 | − | 3.88771e14i | 1.11441 | − | 0.371870i | ||||
\(539\) | −3.88287e14 | − | 3.88287e14i | −0.367633 | − | 0.367633i | ||||
\(540\) | 1.05307e15 | − | 7.90862e14i | 0.986939 | − | 0.741199i | ||||
\(541\) | −9.36152e14 | + | 9.36152e14i | −0.868483 | + | 0.868483i | −0.992304 | − | 0.123822i | \(-0.960485\pi\) |
0.123822 | + | 0.992304i | \(0.460485\pi\) | |||||||
\(542\) | 3.71042e14 | + | 1.85372e14i | 0.340743 | + | 0.170234i | ||||
\(543\) | 2.68040e14 | 0.243669 | ||||||||
\(544\) | 7.15561e14 | − | 7.74552e14i | 0.643951 | − | 0.697038i | ||||
\(545\) | −9.25181e14 | −0.824226 | ||||||||
\(546\) | −1.52330e15 | − | 7.61039e14i | −1.34347 | − | 0.671193i | ||||
\(547\) | −1.07576e15 | + | 1.07576e15i | −0.939260 | + | 0.939260i | −0.998258 | − | 0.0589980i | \(-0.981209\pi\) |
0.0589980 | + | 0.998258i | \(0.481209\pi\) | |||||||
\(548\) | −8.14139e13 | + | 6.11425e13i | −0.0703729 | + | 0.0528506i | ||||
\(549\) | 1.24361e15 | + | 1.24361e15i | 1.06423 | + | 1.06423i | ||||
\(550\) | −6.99141e14 | + | 2.33297e14i | −0.592338 | + | 0.197658i | ||||
\(551\) | − | 2.07682e15i | − | 1.74206i | ||||||
\(552\) | 1.37471e15 | − | 1.98980e15i | 1.14168 | − | 1.65251i | ||||
\(553\) | 3.20890e14i | 0.263856i | ||||||||
\(554\) | 4.26765e14 | + | 1.27892e15i | 0.347445 | + | 1.04122i | ||||
\(555\) | −2.15278e14 | − | 2.15278e14i | −0.173535 | − | 0.173535i | ||||
\(556\) | −9.37454e12 | + | 6.59253e13i | −0.00748236 | + | 0.0526188i | ||||
\(557\) | 1.11930e15 | − | 1.11930e15i | 0.884589 | − | 0.884589i | −0.109408 | − | 0.993997i | \(-0.534896\pi\) |
0.993997 | + | 0.109408i | \(0.0348956\pi\) | |||||||
\(558\) | 5.70853e14 | − | 1.14263e15i | 0.446721 | − | 0.894162i | ||||
\(559\) | −2.84246e15 | −2.20257 | ||||||||
\(560\) | 2.92754e14 | + | 5.32217e14i | 0.224631 | + | 0.408371i | ||||
\(561\) | −2.36176e15 | −1.79449 | ||||||||
\(562\) | −4.58126e14 | + | 9.16991e14i | −0.344695 | + | 0.689946i | ||||
\(563\) | 3.91419e14 | − | 3.91419e14i | 0.291639 | − | 0.291639i | −0.546088 | − | 0.837728i | \(-0.683884\pi\) |
0.837728 | + | 0.546088i | \(0.183884\pi\) | |||||||
\(564\) | −7.92861e14 | − | 1.12744e14i | −0.585008 | − | 0.0831878i | ||||
\(565\) | −4.49022e14 | − | 4.49022e14i | −0.328096 | − | 0.328096i | ||||
\(566\) | −6.08930e13 | − | 1.82483e14i | −0.0440633 | − | 0.132048i | ||||
\(567\) | − | 1.26460e15i | − | 0.906249i | ||||||
\(568\) | −1.72604e14 | + | 3.15549e13i | −0.122499 | + | 0.0223950i | ||||
\(569\) | 7.99582e14i | 0.562012i | 0.959706 | + | 0.281006i | \(0.0906680\pi\) | ||||
−0.959706 | + | 0.281006i | \(0.909332\pi\) | |||||||
\(570\) | −1.58735e15 | + | 5.29685e14i | −1.10500 | + | 0.368728i | ||||
\(571\) | −1.15369e15 | − | 1.15369e15i | −0.795410 | − | 0.795410i | 0.186958 | − | 0.982368i | \(-0.440137\pi\) |
−0.982368 | + | 0.186958i | \(0.940137\pi\) | |||||||
\(572\) | −1.12599e15 | − | 1.49931e15i | −0.768878 | − | 1.02379i | ||||
\(573\) | 2.05465e15 | − | 2.05465e15i | 1.38959 | − | 1.38959i | ||||
\(574\) | −1.54824e15 | − | 7.73496e14i | −1.03710 | − | 0.518135i | ||||
\(575\) | 9.99676e14 | 0.663263 | ||||||||
\(576\) | 1.12219e15 | + | 2.96658e15i | 0.737468 | + | 1.94954i | ||||
\(577\) | 2.33224e14 | 0.151812 | 0.0759061 | − | 0.997115i | \(-0.475815\pi\) | ||||
0.0759061 | + | 0.997115i | \(0.475815\pi\) | |||||||
\(578\) | −1.38003e14 | − | 6.89461e13i | −0.0889788 | − | 0.0444536i | ||||
\(579\) | 1.32314e14 | − | 1.32314e14i | 0.0845030 | − | 0.0845030i | ||||
\(580\) | 1.04723e15 | + | 1.39444e15i | 0.662505 | + | 0.882155i | ||||
\(581\) | −1.50016e14 | − | 1.50016e14i | −0.0940089 | − | 0.0940089i | ||||
\(582\) | −3.45438e14 | + | 1.15270e14i | −0.214434 | + | 0.0715548i | ||||
\(583\) | 2.46161e15i | 1.51371i | ||||||||
\(584\) | −7.15681e14 | + | 1.30839e14i | −0.435962 | + | 0.0797014i | ||||
\(585\) | 2.66201e15i | 1.60639i | ||||||||
\(586\) | 5.64043e14 | + | 1.69031e15i | 0.337190 | + | 1.01049i | ||||
\(587\) | −1.75624e14 | − | 1.75624e14i | −0.104010 | − | 0.104010i | 0.653187 | − | 0.757197i | \(-0.273432\pi\) |
−0.757197 | + | 0.653187i | \(0.773432\pi\) | |||||||
\(588\) | −1.43098e15 | − | 2.03485e14i | −0.839573 | − | 0.119387i | ||||
\(589\) | −5.97032e14 | + | 5.97032e14i | −0.347027 | + | 0.347027i | ||||
\(590\) | 3.60871e14 | − | 7.22324e14i | 0.207810 | − | 0.415955i | ||||
\(591\) | 1.43714e15 | 0.819915 | ||||||||
\(592\) | 3.34223e14 | − | 1.83845e14i | 0.188915 | − | 0.103916i | ||||
\(593\) | 2.53949e15 | 1.42215 | 0.711074 | − | 0.703117i | \(-0.248209\pi\) | ||||
0.711074 | + | 0.703117i | \(0.248209\pi\) | |||||||
\(594\) | 1.65168e15 | − | 3.30602e15i | 0.916433 | − | 1.83434i | ||||
\(595\) | −5.68898e14 | + | 5.68898e14i | −0.312745 | + | 0.312745i | ||||
\(596\) | −1.45097e14 | + | 1.02038e15i | −0.0790322 | + | 0.555784i | ||||
\(597\) | 1.95959e15 | + | 1.95959e15i | 1.05756 | + | 1.05756i | ||||
\(598\) | 8.05007e14 | + | 2.41243e15i | 0.430470 | + | 1.29003i | ||||
\(599\) | − | 1.72237e15i | − | 0.912597i | −0.889827 | − | 0.456298i | \(-0.849175\pi\) | ||
0.889827 | − | 0.456298i | \(-0.150825\pi\) | |||||||
\(600\) | −1.10273e15 | + | 1.59612e15i | −0.578944 | + | 0.837982i | ||||
\(601\) | − | 5.93900e14i | − | 0.308961i | −0.987996 | − | 0.154481i | \(-0.950630\pi\) | ||
0.987996 | − | 0.154481i | \(-0.0493704\pi\) | |||||||
\(602\) | 2.45110e15 | − | 8.17912e14i | 1.26352 | − | 0.421625i | ||||
\(603\) | 4.61018e14 | + | 4.61018e14i | 0.235490 | + | 0.235490i | ||||
\(604\) | 1.59898e15 | − | 1.20085e15i | 0.809356 | − | 0.607832i | ||||
\(605\) | 1.45593e14 | − | 1.45593e14i | 0.0730275 | − | 0.0730275i | ||||
\(606\) | −1.67545e15 | − | 8.37048e14i | −0.832781 | − | 0.416055i | ||||
\(607\) | −1.61954e15 | −0.797727 | −0.398863 | − | 0.917010i | \(-0.630595\pi\) | ||||
−0.398863 | + | 0.917010i | \(0.630595\pi\) | |||||||
\(608\) | −8.29373e13 | − | 2.09498e15i | −0.0404837 | − | 1.02261i | ||||
\(609\) | 4.44421e15 | 2.14981 | ||||||||
\(610\) | 8.73288e14 | + | 4.36292e14i | 0.418643 | + | 0.209153i | ||||
\(611\) | 5.95475e14 | − | 5.95475e14i | 0.282903 | − | 0.282903i | ||||
\(612\) | −3.35921e15 | + | 2.52279e15i | −1.58163 | + | 1.18781i | ||||
\(613\) | −1.79505e15 | − | 1.79505e15i | −0.837613 | − | 0.837613i | 0.150931 | − | 0.988544i | \(-0.451773\pi\) |
−0.988544 | + | 0.150931i | \(0.951773\pi\) | |||||||
\(614\) | 2.68690e15 | − | 8.96595e14i | 1.24258 | − | 0.414639i | ||||
\(615\) | 4.00362e15i | 1.83501i | ||||||||
\(616\) | 1.40239e15 | + | 9.68880e14i | 0.637051 | + | 0.440125i | ||||
\(617\) | − | 1.35402e14i | − | 0.0609617i | −0.999535 | − | 0.0304809i | \(-0.990296\pi\) | ||
0.999535 | − | 0.0304809i | \(-0.00970386\pi\) | |||||||
\(618\) | −2.05904e15 | − | 6.17048e15i | −0.918814 | − | 2.75348i | ||||
\(619\) | 1.58928e15 | + | 1.58928e15i | 0.702913 | + | 0.702913i | 0.965035 | − | 0.262122i | \(-0.0844222\pi\) |
−0.262122 | + | 0.965035i | \(0.584422\pi\) | |||||||
\(620\) | 9.98124e13 | − | 7.01918e14i | 0.0437553 | − | 0.307703i | ||||
\(621\) | −3.54442e15 | + | 3.54442e15i | −1.54007 | + | 1.54007i | ||||
\(622\) | 5.40995e14 | − | 1.08286e15i | 0.232995 | − | 0.466365i | ||||
\(623\) | −9.33756e14 | −0.398611 | ||||||||
\(624\) | −4.73978e15 | − | 1.37581e15i | −2.00559 | − | 0.582160i | ||||
\(625\) | 1.99592e14 | 0.0837148 | ||||||||
\(626\) | 6.66460e14 | − | 1.33400e15i | 0.277087 | − | 0.554620i | ||||
\(627\) | −3.32045e15 | + | 3.32045e15i | −1.36844 | + | 1.36844i | ||||
\(628\) | 2.95875e15 | + | 4.20733e14i | 1.20873 | + | 0.171881i | ||||
\(629\) | 3.57258e14 | + | 3.57258e14i | 0.144678 | + | 0.144678i | ||||
\(630\) | −7.65988e14 | − | 2.29550e15i | −0.307503 | − | 0.921518i | ||||
\(631\) | 1.72429e14i | 0.0686197i | 0.999411 | + | 0.0343098i | \(0.0109233\pi\) | ||||
−0.999411 | + | 0.0343098i | \(0.989077\pi\) | |||||||
\(632\) | 1.67258e14 | + | 9.14891e14i | 0.0659846 | + | 0.360932i | ||||
\(633\) | 2.96330e14i | 0.115892i | ||||||||
\(634\) | −1.24205e15 | + | 4.14461e14i | −0.481557 | + | 0.160691i | ||||
\(635\) | −1.96050e14 | − | 1.96050e14i | −0.0753547 | − | 0.0753547i | ||||
\(636\) | 3.89096e15 | + | 5.18099e15i | 1.48266 | + | 1.97423i | ||||
\(637\) | 1.07473e15 | − | 1.07473e15i | 0.406007 | − | 0.406007i | ||||
\(638\) | 4.37773e15 | + | 2.18710e15i | 1.63959 | + | 0.819134i | ||||
\(639\) | 6.99039e14 | 0.259566 | ||||||||
\(640\) | 1.11208e15 | + | 1.36482e15i | 0.409399 | + | 0.502440i | ||||
\(641\) | 1.45391e15 | 0.530664 | 0.265332 | − | 0.964157i | \(-0.414518\pi\) | ||||
0.265332 | + | 0.964157i | \(0.414518\pi\) | |||||||
\(642\) | −3.76837e15 | − | 1.88267e15i | −1.36368 | − | 0.681289i | ||||
\(643\) | −2.75731e15 | + | 2.75731e15i | −0.989293 | + | 0.989293i | −0.999943 | − | 0.0106503i | \(-0.996610\pi\) |
0.0106503 | + | 0.999943i | \(0.496610\pi\) | |||||||
\(644\) | −1.38835e15 | − | 1.84864e15i | −0.493885 | − | 0.657629i | ||||
\(645\) | −4.22670e15 | − | 4.22670e15i | −1.49081 | − | 1.49081i | ||||
\(646\) | 2.63424e15 | − | 8.79022e14i | 0.921246 | − | 0.307412i | ||||
\(647\) | 2.17754e14i | 0.0755079i | 0.999287 | + | 0.0377539i | \(0.0120203\pi\) | ||||
−0.999287 | + | 0.0377539i | \(0.987980\pi\) | |||||||
\(648\) | −6.59151e14 | − | 3.60552e15i | −0.226633 | − | 1.23967i | ||||
\(649\) | − | 2.26585e15i | − | 0.772478i | ||||||
\(650\) | −6.45739e14 | − | 1.93514e15i | −0.218290 | − | 0.654167i | ||||
\(651\) | −1.27760e15 | − | 1.27760e15i | −0.428251 | − | 0.428251i | ||||
\(652\) | −2.81485e15 | − | 4.00271e14i | −0.935608 | − | 0.133043i | ||||
\(653\) | −3.81537e15 | + | 3.81537e15i | −1.25752 | + | 1.25752i | −0.305244 | + | 0.952274i | \(0.598738\pi\) |
−0.952274 | + | 0.305244i | \(0.901262\pi\) | |||||||
\(654\) | −3.05414e15 | + | 6.11321e15i | −0.998187 | + | 1.99798i | ||||
\(655\) | 2.71648e15 | 0.880399 | ||||||||
\(656\) | −4.81736e15 | − | 1.39833e15i | −1.54824 | − | 0.449405i | ||||
\(657\) | 2.89849e15 | 0.923765 | ||||||||
\(658\) | −3.42142e14 | + | 6.84836e14i | −0.108135 | + | 0.216443i | ||||
\(659\) | 3.81617e15 | − | 3.81617e15i | 1.19607 | − | 1.19607i | 0.220740 | − | 0.975333i | \(-0.429153\pi\) |
0.975333 | − | 0.220740i | \(-0.0708471\pi\) | |||||||
\(660\) | 5.55117e14 | − | 3.90379e15i | 0.172541 | − | 1.21338i | ||||
\(661\) | −2.97433e14 | − | 2.97433e14i | −0.0916813 | − | 0.0916813i | 0.659779 | − | 0.751460i | \(-0.270650\pi\) |
−0.751460 | + | 0.659779i | \(0.770650\pi\) | |||||||
\(662\) | 9.36097e14 | + | 2.80528e15i | 0.286155 | + | 0.857545i | ||||
\(663\) | − | 6.53707e15i | − | 1.98180i | ||||||
\(664\) | −5.05905e14 | − | 3.49519e14i | −0.152105 | − | 0.105086i | ||||
\(665\) | 1.59965e15i | 0.476987i | ||||||||
\(666\) | −1.44153e15 | + | 4.81028e14i | −0.426301 | + | 0.142253i | ||||
\(667\) | −4.69340e15 | − | 4.69340e15i | −1.37656 | − | 1.37656i | ||||
\(668\) | −2.11570e15 | + | 1.58891e15i | −0.615438 | + | 0.462198i | ||||
\(669\) | 6.31095e15 | − | 6.31095e15i | 1.82075 | − | 1.82075i | ||||
\(670\) | 3.23737e14 | + | 1.61738e14i | 0.0926363 | + | 0.0462808i | ||||
\(671\) | 2.73941e15 | 0.777470 | ||||||||
\(672\) | 4.48309e15 | − | 1.77479e14i | 1.26196 | − | 0.0499592i | ||||
\(673\) | 2.17839e15 | 0.608209 | 0.304105 | − | 0.952639i | \(-0.401643\pi\) | ||||
0.304105 | + | 0.952639i | \(0.401643\pi\) | |||||||
\(674\) | 5.12952e15 | + | 2.56269e15i | 1.42052 | + | 0.709688i | ||||
\(675\) | 2.84317e15 | − | 2.84317e15i | 0.780965 | − | 0.780965i | ||||
\(676\) | 1.21505e15 | − | 9.12514e14i | 0.331046 | − | 0.248618i | ||||
\(677\) | 7.96688e14 | + | 7.96688e14i | 0.215303 | + | 0.215303i | 0.806516 | − | 0.591213i | \(-0.201351\pi\) |
−0.591213 | + | 0.806516i | \(0.701351\pi\) | |||||||
\(678\) | −4.44923e15 | + | 1.48467e15i | −1.19267 | + | 0.397985i | ||||
\(679\) | 3.48115e14i | 0.0925634i | ||||||||
\(680\) | −1.32546e15 | + | 1.91851e15i | −0.349597 | + | 0.506018i | ||||
\(681\) | 1.00895e16i | 2.63974i | ||||||||
\(682\) | −6.29750e14 | − | 1.88722e15i | −0.163438 | − | 0.489789i | ||||
\(683\) | −4.41139e15 | − | 4.41139e15i | −1.13569 | − | 1.13569i | −0.989214 | − | 0.146481i | \(-0.953205\pi\) |
−0.146481 | − | 0.989214i | \(-0.546795\pi\) | |||||||
\(684\) | −1.17594e15 | + | 8.26963e15i | −0.300314 | + | 2.11192i | ||||
\(685\) | 1.59207e14 | − | 1.59207e14i | 0.0403332 | − | 0.0403332i | ||||
\(686\) | −1.89636e15 | + | 3.79579e15i | −0.476583 | + | 0.953935i | ||||
\(687\) | −7.27078e14 | −0.181267 | ||||||||
\(688\) | 6.56204e15 | − | 3.60955e15i | 1.62294 | − | 0.892722i | ||||
\(689\) | −6.81346e15 | −1.67171 | ||||||||
\(690\) | −2.39022e15 | + | 4.78429e15i | −0.581792 | + | 1.16452i | ||||
\(691\) | −2.75302e15 | + | 2.75302e15i | −0.664784 | + | 0.664784i | −0.956504 | − | 0.291720i | \(-0.905773\pi\) |
0.291720 | + | 0.956504i | \(0.405773\pi\) | |||||||
\(692\) | 1.34096e15 | + | 1.90683e14i | 0.321241 | + | 0.0456803i | ||||
\(693\) | −4.80178e15 | − | 4.80178e15i | −1.14122 | − | 1.14122i | ||||
\(694\) | −1.15602e15 | − | 3.46433e15i | −0.272575 | − | 0.816849i | ||||
\(695\) | − | 1.47250e14i | − | 0.0344461i | ||||||
\(696\) | 1.26709e16 | − | 2.31646e15i | 2.94074 | − | 0.537618i | ||||
\(697\) | − | 6.64408e15i | − | 1.52987i | ||||||
\(698\) | −6.64801e15 | + | 2.21838e15i | −1.51875 | + | 0.506794i | ||||
\(699\) | 8.62844e15 | + | 8.62844e15i | 1.95573 | + | 1.95573i | ||||
\(700\) | 1.11367e15 | + | 1.48290e15i | 0.250447 | + | 0.333481i | ||||
\(701\) | −3.57573e15 | + | 3.57573e15i | −0.797840 | + | 0.797840i | −0.982755 | − | 0.184915i | \(-0.940799\pi\) |
0.184915 | + | 0.982755i | \(0.440799\pi\) | |||||||
\(702\) | 9.15068e15 | + | 4.57166e15i | 2.02581 | + | 1.01209i | ||||
\(703\) | 1.00455e15 | 0.220658 | ||||||||
\(704\) | 4.50337e15 | + | 2.03141e15i | 0.981494 | + | 0.442739i | ||||
\(705\) | 1.77093e15 | 0.382967 | ||||||||
\(706\) | −5.22682e15 | − | 2.61130e15i | −1.12153 | − | 0.560314i | ||||
\(707\) | −1.26598e15 | + | 1.26598e15i | −0.269539 | + | 0.269539i | ||||
\(708\) | −3.58153e15 | − | 4.76897e15i | −0.756634 | − | 1.00749i | ||||
\(709\) | 7.05716e14 | + | 7.05716e14i | 0.147937 | + | 0.147937i | 0.777196 | − | 0.629259i | \(-0.216642\pi\) |
−0.629259 | + | 0.777196i | \(0.716642\pi\) | |||||||
\(710\) | 3.68062e14 | − | 1.22819e14i | 0.0765596 | − | 0.0255473i | ||||
\(711\) | − | 3.70528e15i | − | 0.764783i | ||||||
\(712\) | −2.66224e15 | + | 4.86703e14i | −0.545264 | + | 0.0996836i | ||||
\(713\) | 2.69847e15i | 0.548435i | ||||||||
\(714\) | 1.88103e15 | + | 5.63704e15i | 0.379364 | + | 1.13687i | ||||
\(715\) | 2.93193e15 | + | 2.93193e15i | 0.586773 | + | 0.586773i | ||||
\(716\) | −6.92528e15 | − | 9.84771e14i | −1.37536 | − | 0.195575i | ||||
\(717\) | 5.08600e15 | − | 5.08600e15i | 1.00235 | − | 1.00235i | ||||
\(718\) | 1.69037e15 | − | 3.38347e15i | 0.330596 | − | 0.661725i | ||||
\(719\) | −4.16359e13 | −0.00808089 | −0.00404045 | − | 0.999992i | \(-0.501286\pi\) | ||||
−0.00404045 | + | 0.999992i | \(0.501286\pi\) | |||||||
\(720\) | −3.38040e15 | − | 6.14545e15i | −0.651087 | − | 1.18366i | ||||
\(721\) | −6.21831e15 | −1.18858 | ||||||||
\(722\) | 1.11618e14 | − | 2.23415e14i | 0.0211728 | − | 0.0423798i | ||||
\(723\) | −8.49944e15 | + | 8.49944e15i | −1.60004 | + | 1.60004i | ||||
\(724\) | 1.04552e14 | − | 7.35246e14i | 0.0195330 | − | 0.137363i | ||||
\(725\) | 3.76483e15 | + | 3.76483e15i | 0.698050 | + | 0.698050i | ||||
\(726\) | −4.81397e14 | − | 1.44264e15i | −0.0885833 | − | 0.265465i | ||||
\(727\) | − | 2.63729e15i | − | 0.481635i | −0.970570 | − | 0.240818i | \(-0.922584\pi\) | ||
0.970570 | − | 0.240818i | \(-0.0774156\pi\) | |||||||
\(728\) | −2.68174e15 | + | 3.88164e15i | −0.486065 | + | 0.703547i | ||||
\(729\) | − | 3.99048e15i | − | 0.717834i | ||||||
\(730\) | 1.52613e15 | − | 5.09255e14i | 0.272467 | − | 0.0909200i | ||||
\(731\) | 7.01429e15 | + | 7.01429e15i | 1.24291 | + | 1.24291i | ||||
\(732\) | 5.76568e15 | − | 4.33007e15i | 1.01400 | − | 0.761524i | ||||
\(733\) | −4.82418e15 | + | 4.82418e15i | −0.842076 | + | 0.842076i | −0.989129 | − | 0.147053i | \(-0.953021\pi\) |
0.147053 | + | 0.989129i | \(0.453021\pi\) | |||||||
\(734\) | −4.94276e15 | − | 2.46939e15i | −0.856331 | − | 0.427820i | ||||
\(735\) | 3.19623e15 | 0.549614 | ||||||||
\(736\) | −4.92189e15 | − | 4.54703e15i | −0.840048 | − | 0.776069i | ||||
\(737\) | 1.01553e15 | 0.172037 | ||||||||
\(738\) | 1.78773e16 | + | 8.93147e15i | 3.00603 | + | 1.50180i | ||||
\(739\) | 4.71087e15 | − | 4.71087e15i | 0.786243 | − | 0.786243i | −0.194633 | − | 0.980876i | \(-0.562352\pi\) |
0.980876 | + | 0.194633i | \(0.0623517\pi\) | |||||||
\(740\) | −6.74489e14 | + | 5.06546e14i | −0.111738 | + | 0.0839160i | ||||
\(741\) | −9.19062e15 | − | 9.19062e15i | −1.51128 | − | 1.51128i | ||||
\(742\) | 5.87537e15 | − | 1.96056e15i | 0.958990 | − | 0.320007i | ||||
\(743\) | − | 9.62498e15i | − | 1.55941i | −0.626145 | − | 0.779707i | \(-0.715368\pi\) | ||
0.626145 | − | 0.779707i | \(-0.284632\pi\) | |||||||
\(744\) | −4.30849e15 | − | 2.97664e15i | −0.692905 | − | 0.478713i | ||||
\(745\) | − | 2.27911e15i | − | 0.363836i | ||||||
\(746\) | −3.41440e15 | − | 1.02322e16i | −0.541066 | − | 1.62146i | ||||
\(747\) | 1.73222e15 | + | 1.73222e15i | 0.272483 | + | 0.272483i | ||||
\(748\) | −9.21228e14 | + | 6.47842e15i | −0.143849 | + | 1.01160i | ||||
\(749\) | −2.84742e15 | + | 2.84742e15i | −0.441369 | + | 0.441369i | ||||
\(750\) | 5.22335e15 | − | 1.04551e16i | 0.803734 | − | 1.60876i | ||||
\(751\) | 9.84069e15 | 1.50316 | 0.751581 | − | 0.659641i | \(-0.229292\pi\) | ||||
0.751581 | + | 0.659641i | \(0.229292\pi\) | |||||||
\(752\) | −6.18526e14 | + | 2.13088e15i | −0.0937907 | + | 0.323117i | ||||
\(753\) | −9.40792e15 | −1.41619 | ||||||||
\(754\) | −6.05364e15 | + | 1.21170e16i | −0.904636 | + | 1.81073i | ||||
\(755\) | −3.12684e15 | + | 3.12684e15i | −0.463870 | + | 0.463870i | ||||
\(756\) | −9.20629e15 | − | 1.30913e15i | −1.35586 | − | 0.192803i | ||||
\(757\) | 7.22313e15 | + | 7.22313e15i | 1.05608 | + | 1.05608i | 0.998331 | + | 0.0577528i | \(0.0183935\pi\) |
0.0577528 | + | 0.998331i | \(0.481606\pi\) | |||||||
\(758\) | 3.24581e15 | + | 9.72698e15i | 0.471132 | + | 1.41188i | ||||
\(759\) | 1.50078e16i | 2.16266i | ||||||||
\(760\) | 8.33789e14 | + | 4.56078e15i | 0.119284 | + | 0.652476i | ||||
\(761\) | − | 2.81170e15i | − | 0.399349i | −0.979862 | − | 0.199675i | \(-0.936011\pi\) | ||
0.979862 | − | 0.199675i | \(-0.0639885\pi\) | |||||||
\(762\) | −1.94260e15 | + | 6.48229e14i | −0.273924 | + | 0.0914062i | ||||
\(763\) | 4.61921e15 | + | 4.61921e15i | 0.646670 | + | 0.646670i | ||||
\(764\) | −4.83457e15 | − | 6.43745e15i | −0.671962 | − | 0.894747i | ||||
\(765\) | 6.56900e15 | − | 6.56900e15i | 0.906486 | − | 0.906486i | ||||
\(766\) | −7.18347e15 | − | 3.58884e15i | −0.984183 | − | 0.491695i | ||||
\(767\) | 6.27161e15 | 0.853109 | ||||||||
\(768\) | 1.26893e16 | − | 2.84274e15i | 1.71376 | − | 0.383928i | ||||
\(769\) | 4.85127e15 | 0.650519 | 0.325260 | − | 0.945625i | \(-0.394548\pi\) | ||||
0.325260 | + | 0.945625i | \(0.394548\pi\) | |||||||
\(770\) | −3.37191e15 | − | 1.68460e15i | −0.448929 | − | 0.224284i | ||||
\(771\) | 5.28054e15 | − | 5.28054e15i | 0.698039 | − | 0.698039i | ||||
\(772\) | −3.11332e14 | − | 4.14552e14i | −0.0408628 | − | 0.0544107i | ||||
\(773\) | −1.97280e15 | − | 1.97280e15i | −0.257096 | − | 0.257096i | 0.566776 | − | 0.823872i | \(-0.308191\pi\) |
−0.823872 | + | 0.566776i | \(0.808191\pi\) | |||||||
\(774\) | −2.83026e16 | + | 9.44434e15i | −3.66228 | + | 1.22207i | ||||
\(775\) | − | 2.16459e15i | − | 0.278109i | ||||||
\(776\) | 1.81449e14 | + | 9.92514e14i | 0.0231480 | + | 0.126618i | ||||
\(777\) | 2.14966e15i | 0.272304i | ||||||||
\(778\) | −2.55789e15 | − | 7.66542e15i | −0.321731 | − | 0.964158i | ||||
\(779\) | −9.34106e15 | − | 9.34106e15i | −1.16665 | − | 1.16665i | ||||
\(780\) | 1.08052e16 | + | 1.53650e15i | 1.34003 | + | 0.190551i | ||||
\(781\) | 7.69921e14 | − | 7.69921e14i | 0.0948124 | − | 0.0948124i | ||||
\(782\) | 3.96662e15 | − | 7.93963e15i | 0.485046 | − | 0.970874i | ||||
\(783\) | −2.66969e16 | −3.24169 | ||||||||
\(784\) | −1.11634e15 | + | 3.84587e15i | −0.134604 | + | 0.463721i | ||||
\(785\) | −6.60864e15 | −0.791278 | ||||||||
\(786\) | 8.96745e15 | − | 1.79494e16i | 1.06622 | − | 2.13415i | ||||
\(787\) | −5.53491e14 | + | 5.53491e14i | −0.0653506 | + | 0.0653506i | −0.739027 | − | 0.673676i | \(-0.764714\pi\) |
0.673676 | + | 0.739027i | \(0.264714\pi\) | |||||||
\(788\) | 5.60572e14 | − | 3.94215e15i | 0.0657260 | − | 0.462210i | ||||
\(789\) | 3.68053e15 | + | 3.68053e15i | 0.428535 | + | 0.428535i | ||||
\(790\) | −6.51006e14 | − | 1.95092e15i | −0.0752724 | − | 0.225575i | ||||
\(791\) | 4.48372e15i | 0.514835i | ||||||||
\(792\) | −1.61932e16 | − | 1.11875e16i | −1.84648 | − | 1.27569i | ||||
\(793\) | 7.58237e15i | 0.858623i | ||||||||
\(794\) | 1.27321e16 | − | 4.24859e15i | 1.43181 | − | 0.477784i | ||||
\(795\) | −1.01315e16 | − | 1.01315e16i | −1.13150 | − | 1.13150i | ||||
\(796\) | 6.13959e15 | − | 4.61088e15i | 0.680953 | − | 0.511401i | ||||
\(797\) | −2.46056e15 | + | 2.46056e15i | −0.271028 | + | 0.271028i | −0.829514 | − | 0.558486i | \(-0.811382\pi\) |
0.558486 | + | 0.829514i | \(0.311382\pi\) | |||||||
\(798\) | 1.05698e16 | + | 5.28066e15i | 1.15625 | + | 0.577660i | ||||
\(799\) | −2.93889e15 | −0.319283 | ||||||||
\(800\) | 3.94811e15 | + | 3.64742e15i | 0.425985 | + | 0.393541i | ||||
\(801\) | 1.07820e16 | 1.15537 | ||||||||
\(802\) | −8.37349e15 | − | 4.18337e15i | −0.891143 | − | 0.445213i | ||||
\(803\) | 3.19239e15 | − | 3.19239e15i | 0.337427 | − | 0.337427i | ||||
\(804\) | 2.13740e15 | − | 1.60520e15i | 0.224376 | − | 0.168508i | ||||
\(805\) | 3.61506e15 | + | 3.61506e15i | 0.376911 | + | 0.376911i | ||||
\(806\) | 5.22361e15 | − | 1.74307e15i | 0.540913 | − | 0.180498i | ||||
\(807\) | 2.00613e16i | 2.06326i | ||||||||
\(808\) | −2.94959e15 | + | 4.26933e15i | −0.301300 | + | 0.436111i | ||||
\(809\) | 1.13331e16i | 1.14982i | 0.818216 | + | 0.574912i | \(0.194964\pi\) | ||||
−0.818216 | + | 0.574912i | \(0.805036\pi\) | |||||||
\(810\) | 2.56557e15 | + | 7.68844e15i | 0.258533 | + | 0.774766i | ||||
\(811\) | −1.87069e15 | − | 1.87069e15i | −0.187235 | − | 0.187235i | 0.607265 | − | 0.794500i | \(-0.292267\pi\) |
−0.794500 | + | 0.607265i | \(0.792267\pi\) | |||||||
\(812\) | 1.73351e15 | − | 1.21907e16i | 0.172333 | − | 1.21191i | ||||
\(813\) | −4.79047e15 | + | 4.79047e15i | −0.473020 | + | 0.473020i | ||||
\(814\) | −1.05790e15 | + | 2.11751e15i | −0.103755 | + | 0.207678i | ||||
\(815\) | 6.28724e15 | 0.612482 | ||||||||
\(816\) | 8.30123e15 | + | 1.50914e16i | 0.803242 | + | 1.46027i | ||||
\(817\) | 1.97231e16 | 1.89563 | ||||||||
\(818\) | −7.05614e15 | + | 1.41237e16i | −0.673634 | + | 1.34836i | ||||
\(819\) | 1.32908e16 | − | 1.32908e16i | 1.26034 | − | 1.26034i | ||||
\(820\) | 1.09821e16 | + | 1.56165e15i | 1.03445 | + | 0.147098i | ||||
\(821\) | 1.34033e16 | + | 1.34033e16i | 1.25408 | + | 1.25408i | 0.953876 | + | 0.300202i | \(0.0970542\pi\) |
0.300202 | + | 0.953876i | \(0.402946\pi\) | |||||||
\(822\) | −5.26409e14 | − | 1.57753e15i | −0.0489247 | − | 0.146617i | ||||
\(823\) | − | 1.42501e15i | − | 0.131559i | −0.997834 | − | 0.0657793i | \(-0.979047\pi\) | ||
0.997834 | − | 0.0657793i | \(-0.0209533\pi\) | |||||||
\(824\) | −1.77291e16 | + | 3.24118e15i | −1.62587 | + | 0.297237i | ||||
\(825\) | − | 1.20386e16i | − | 1.09668i | ||||||
\(826\) | −5.40813e15 | + | 1.80465e15i | −0.489392 | + | 0.163306i | ||||
\(827\) | −7.40480e15 | − | 7.40480e15i | −0.665630 | − | 0.665630i | 0.291071 | − | 0.956701i | \(-0.405988\pi\) |
−0.956701 | + | 0.291071i | \(0.905988\pi\) | |||||||
\(828\) | 1.60311e16 | + | 2.13461e16i | 1.43151 | + | 1.90613i | ||||
\(829\) | −3.12121e15 | + | 3.12121e15i | −0.276868 | + | 0.276868i | −0.831857 | − | 0.554989i | \(-0.812722\pi\) |
0.554989 | + | 0.831857i | \(0.312722\pi\) | |||||||
\(830\) | 1.21640e15 | + | 6.07711e14i | 0.107188 | + | 0.0535510i | ||||
\(831\) | −2.20219e16 | −1.92774 | ||||||||
\(832\) | −5.62270e15 | + | 1.24648e16i | −0.488953 | + | 1.08394i | ||||
\(833\) | −5.30421e15 | −0.458219 | ||||||||
\(834\) | −9.72969e14 | − | 4.86092e14i | −0.0834998 | − | 0.0417163i | ||||
\(835\) | 4.13730e15 | − | 4.13730e15i | 0.352729 | − | 0.352729i | ||||
\(836\) | 7.81298e15 | + | 1.04033e16i | 0.661732 | + | 0.881126i | ||||
\(837\) | 7.67469e15 | + | 7.67469e15i | 0.645759 | + | 0.645759i | ||||
\(838\) | −1.53127e14 | + | 5.10970e13i | −0.0128000 | + | 0.00427123i | ||||
\(839\) | 9.03381e15i | 0.750206i | 0.926983 | + | 0.375103i | \(0.122393\pi\) | ||||
−0.926983 | + | 0.375103i | \(0.877607\pi\) | |||||||
\(840\) | −9.75968e15 | + | 1.78424e15i | −0.805192 | + | 0.147203i | ||||
\(841\) | − | 2.31507e16i | − | 1.89752i | ||||||
\(842\) | 2.78483e15 | + | 8.34553e15i | 0.226768 | + | 0.679575i | ||||
\(843\) | −1.18391e16 | − | 1.18391e16i | −0.957785 | − | 0.957785i | ||||
\(844\) | 8.12847e14 | + | 1.15586e14i | 0.0653319 | + | 0.00929016i | ||||
\(845\) | −2.37606e15 | + | 2.37606e15i | −0.189734 | + | 0.189734i | ||||
\(846\) | 3.95068e15 | − | 7.90773e15i | 0.313426 | − | 0.627357i | ||||
\(847\) | −1.45382e15 | −0.114592 | ||||||||
\(848\) | 1.57294e16 | − | 8.65220e15i | 1.23179 | − | 0.677562i | ||||
\(849\) | 3.14219e15 | 0.244478 | ||||||||
\(850\) | −3.18183e15 | + | 6.36880e15i | −0.245965 | + | 0.492327i | ||||
\(851\) | 2.27020e15 | − | 2.27020e15i | 0.174362 | − | 0.174362i | ||||
\(852\) | 4.03483e14 | − | 2.83744e15i | 0.0307898 | − | 0.216525i | ||||
\(853\) | −1.54922e16 | − | 1.54922e16i | −1.17461 | − | 1.17461i | −0.981098 | − | 0.193513i | \(-0.938012\pi\) |
−0.193513 | − | 0.981098i | \(-0.561988\pi\) | |||||||
\(854\) | −2.18181e15 | − | 6.53842e15i | −0.164361 | − | 0.492555i | ||||
\(855\) | − | 1.84710e16i | − | 1.38254i | ||||||
\(856\) | −6.63413e15 | + | 9.60246e15i | −0.493377 | + | 0.714130i | ||||
\(857\) | − | 8.33477e15i | − | 0.615885i | −0.951405 | − | 0.307942i | \(-0.900360\pi\) | ||
0.951405 | − | 0.307942i | \(-0.0996404\pi\) | |||||||
\(858\) | 2.90516e16 | − | 9.69428e15i | 2.13300 | − | 0.711763i | ||||
\(859\) | 1.48185e16 | + | 1.48185e16i | 1.08104 | + | 1.08104i | 0.996412 | + | 0.0846301i | \(0.0269708\pi\) |
0.0846301 | + | 0.996412i | \(0.473029\pi\) | |||||||
\(860\) | −1.32427e16 | + | 9.94537e15i | −0.959920 | + | 0.720907i | ||||
\(861\) | 1.99891e16 | − | 1.99891e16i | 1.43971 | − | 1.43971i | ||||
\(862\) | −4.41097e14 | − | 2.20371e14i | −0.0315678 | − | 0.0157712i | ||||
\(863\) | 1.34008e16 | 0.952955 | 0.476477 | − | 0.879187i | \(-0.341913\pi\) | ||||
0.476477 | + | 0.879187i | \(0.341913\pi\) | |||||||
\(864\) | −2.69305e16 | + | 1.06614e15i | −1.90291 | + | 0.0753334i | ||||
\(865\) | −2.99515e15 | −0.210296 | ||||||||
\(866\) | 3.81038e15 | + | 1.90366e15i | 0.265840 | + | 0.132813i | ||||
\(867\) | 1.78174e15 | − | 1.78174e15i | 0.123521 | − | 0.123521i | ||||
\(868\) | −4.00285e15 | + | 3.00617e15i | −0.275747 | + | 0.207088i | ||||
\(869\) | −4.08099e15 | − | 4.08099e15i | −0.279355 | − | 0.279355i | ||||
\(870\) | −2.70196e16 | + | 9.01620e15i | −1.83790 | + | 0.613293i | ||||
\(871\) | 2.81086e15i | 0.189994i | ||||||||
\(872\) | 1.55775e16 | + | 1.07622e16i | 1.04630 | + | 0.722869i | ||||
\(873\) | − | 4.01965e15i | − | 0.268293i | ||||||
\(874\) | −5.58575e15 | − | 1.67393e16i | −0.370483 | − | 1.11026i | ||||
\(875\) | −7.90000e15 | − | 7.90000e15i | −0.520695 | − | 0.520695i | ||||
\(876\) | 1.67299e15 | − | 1.17651e16i | 0.109578 | − | 0.770591i | ||||
\(877\) | −3.71317e15 | + | 3.71317e15i | −0.241684 | + | 0.241684i | −0.817546 | − | 0.575863i | \(-0.804666\pi\) |
0.575863 | + | 0.817546i | \(0.304666\pi\) | |||||||
\(878\) | 3.51135e15 | − | 7.02836e15i | 0.227119 | − | 0.454605i | ||||
\(879\) | −2.91056e16 | −1.87085 | ||||||||
\(880\) | −1.04918e16 | − | 3.04542e15i | −0.670183 | − | 0.194533i | ||||
\(881\) | −1.95100e16 | −1.23848 | −0.619240 | − | 0.785202i | \(-0.712559\pi\) | ||||
−0.619240 | + | 0.785202i | \(0.712559\pi\) | |||||||
\(882\) | 7.13031e15 | − | 1.42721e16i | 0.449812 | − | 0.900350i | ||||
\(883\) | −6.93155e14 | + | 6.93155e14i | −0.0434557 | + | 0.0434557i | −0.728501 | − | 0.685045i | \(-0.759783\pi\) |
0.685045 | + | 0.728501i | \(0.259783\pi\) | |||||||
\(884\) | −1.79315e16 | − | 2.54985e15i | −1.11720 | − | 0.158865i | ||||
\(885\) | 9.32582e15 | + | 9.32582e15i | 0.577429 | + | 0.577429i | ||||
\(886\) | 2.51371e15 | + | 7.53303e15i | 0.154678 | + | 0.463537i | ||||
\(887\) | − | 9.06781e15i | − | 0.554527i | −0.960794 | − | 0.277263i | \(-0.910573\pi\) | ||
0.960794 | − | 0.277263i | \(-0.0894274\pi\) | |||||||
\(888\) | 1.12047e15 | + | 6.12891e15i | 0.0680972 | + | 0.372488i | ||||
\(889\) | 1.95766e15i | 0.118243i | ||||||||
\(890\) | 5.67698e15 | − | 1.89436e15i | 0.340779 | − | 0.113715i | ||||
\(891\) | 1.60829e16 | + | 1.60829e16i | 0.959481 | + | 0.959481i | ||||
\(892\) | −1.48496e16 | − | 1.97729e16i | −0.880456 | − | 1.17237i | ||||
\(893\) | −4.13185e15 | + | 4.13185e15i | −0.243479 | + | 0.243479i | ||||
\(894\) | −1.50594e16 | − | 7.52363e15i | −0.881964 | − | 0.440627i | ||||
\(895\) | 1.54683e16 | 0.900357 | ||||||||
\(896\) | 1.26184e15 | − | 1.23665e16i | 0.0729979 | − | 0.715409i | ||||
\(897\) | −4.15399e16 | −2.38840 | ||||||||
\(898\) | 1.52231e16 | + | 7.60542e15i | 0.869928 | + | 0.434613i | ||||
\(899\) | −1.01626e16 | + | 1.01626e16i | −0.577199 | + | 0.577199i | ||||
\(900\) | −1.28594e16 | − | 1.71228e16i | −0.725916 | − | 0.966589i | ||||
\(901\) | 1.68135e16 | + | 1.68135e16i | 0.943346 | + | 0.943346i | ||||
\(902\) | 2.95272e16 | − | 9.85297e15i | 1.64659 | − | 0.549454i | ||||
\(903\) | 4.22058e16i | 2.33932i | ||||||||
\(904\) | 2.33706e15 | + | 1.27836e16i | 0.128749 | + | 0.704248i | ||||
\(905\) | 1.64224e15i | 0.0899228i | ||||||||
\(906\) | 1.03387e16 | + | 3.09829e16i | 0.562681 | + | 1.68623i | ||||
\(907\) | 4.61315e15 | + | 4.61315e15i | 0.249550 | + | 0.249550i | 0.820786 | − | 0.571236i | \(-0.193536\pi\) |
−0.571236 | + | 0.820786i | \(0.693536\pi\) | |||||||
\(908\) | 2.76760e16 | + | 3.93551e15i | 1.48810 | + | 0.211607i | ||||
\(909\) | 1.46182e16 | − | 1.46182e16i | 0.781254 | − | 0.781254i | ||||
\(910\) | 4.66277e15 | − | 9.33306e15i | 0.247695 | − | 0.495788i | ||||
\(911\) | −1.78440e16 | −0.942198 | −0.471099 | − | 0.882080i | \(-0.656143\pi\) | ||||
−0.471099 | + | 0.882080i | \(0.656143\pi\) | |||||||
\(912\) | 3.28882e16 | + | 9.54639e15i | 1.72611 | + | 0.501035i | ||||
\(913\) | 3.81572e15 | 0.199062 | ||||||||
\(914\) | 2.78494e15 | − | 5.57438e15i | 0.144415 | − | 0.289063i | ||||
\(915\) | −1.12749e16 | + | 1.12749e16i | −0.581161 | + | 0.581161i | ||||
\(916\) | −2.83604e14 | + | 1.99441e15i | −0.0145307 | + | 0.102185i | ||||
\(917\) | −1.35627e16 | − | 1.35627e16i | −0.690742 | − | 0.690742i | ||||
\(918\) | −1.12996e16 | − | 3.38624e16i | −0.572043 | − | 1.71429i | ||||
\(919\) | − | 3.30389e16i | − | 1.66261i | −0.555816 | − | 0.831305i | \(-0.687594\pi\) | ||
0.555816 | − | 0.831305i | \(-0.312406\pi\) | |||||||
\(920\) | 1.21912e16 | + | 8.42264e15i | 0.609837 | + | 0.421323i | ||||
\(921\) | 4.62659e16i | 2.30056i | ||||||||
\(922\) | −3.70949e16 | + | 1.23783e16i | −1.83356 | + | 0.611842i | ||||
\(923\) | 2.13105e15 | + | 2.13105e15i | 0.104709 | + | 0.104709i | ||||
\(924\) | −2.22623e16 | + | 1.67191e16i | −1.08736 | + | 0.816616i | ||||
\(925\) | −1.82105e15 | + | 1.82105e15i | −0.0884181 | + | 0.0884181i | ||||
\(926\) | −1.99135e16 | − | 9.94874e15i | −0.961143 | − | 0.480184i | ||||
\(927\) | 7.18022e16 | 3.44508 | ||||||||
\(928\) | −1.41174e15 | − | 3.56605e16i | −0.0673352 | − | 1.70088i | ||||
\(929\) | 1.58061e16 | 0.749441 | 0.374721 | − | 0.927138i | \(-0.377739\pi\) | ||||
0.374721 | + | 0.927138i | \(0.377739\pi\) | |||||||
\(930\) | 1.03594e16 | + | 5.17551e15i | 0.488289 | + | 0.243948i | ||||
\(931\) | −7.45730e15 | + | 7.45730e15i | −0.349429 | + | 0.349429i | ||||
\(932\) | 2.70338e16 | − | 2.03026e16i | 1.25927 | − | 0.945724i | ||||
\(933\) | 1.39807e16 | + | 1.39807e16i | 0.647409 | + | 0.647409i | ||||
\(934\) | 8.27981e15 | − | 2.76290e15i | 0.381165 | − | 0.127191i | ||||
\(935\) | − | 1.44702e16i | − | 0.662231i | ||||||
\(936\) | 3.09658e16 | − | 4.48209e16i | 1.40885 | − | 2.03922i | ||||
\(937\) | − | 4.22859e16i | − | 1.91262i | −0.292361 | − | 0.956308i | \(-0.594441\pi\) | ||
0.292361 | − | 0.956308i | \(-0.405559\pi\) | |||||||
\(938\) | −8.08821e14 | − | 2.42386e15i | −0.0363695 | − | 0.108991i | ||||
\(939\) | 1.72230e16 | + | 1.72230e16i | 0.769925 | + | 0.769925i | ||||
\(940\) | 6.90768e14 | − | 4.85774e15i | 0.0306993 | − | 0.215889i | ||||
\(941\) | 9.72624e15 | − | 9.72624e15i | 0.429736 | − | 0.429736i | −0.458802 | − | 0.888539i | \(-0.651721\pi\) |
0.888539 | + | 0.458802i | \(0.151721\pi\) | |||||||
\(942\) | −2.18160e16 | + | 4.36672e16i | −0.958286 | + | 1.91812i | ||||
\(943\) | −4.22198e16 | −1.84375 | ||||||||
\(944\) | −1.44785e16 | + | 7.96413e15i | −0.628605 | + | 0.345774i | ||||
\(945\) | 2.05631e16 | 0.887593 | ||||||||
\(946\) | −2.07705e16 | + | 4.15744e16i | −0.891343 | + | 1.78412i | ||||
\(947\) | −1.39783e15 | + | 1.39783e15i | −0.0596387 | + | 0.0596387i | −0.736297 | − | 0.676658i | \(-0.763427\pi\) |
0.676658 | + | 0.736297i | \(0.263427\pi\) | |||||||
\(948\) | −1.50399e16 | − | 2.13867e15i | −0.637970 | − | 0.0907190i | ||||
\(949\) | 8.83615e15 | + | 8.83615e15i | 0.372648 | + | 0.372648i | ||||
\(950\) | 4.48063e15 | + | 1.34275e16i | 0.187871 | + | 0.563007i | ||||
\(951\) | − | 2.13869e16i | − | 0.891570i | ||||||
\(952\) | 1.61964e16 | − | 2.96098e15i | 0.671297 | − | 0.122725i | ||||
\(953\) | 1.00821e16i | 0.415469i | 0.978185 | + | 0.207734i | \(0.0666089\pi\) | ||||
−0.978185 | + | 0.207734i | \(0.933391\pi\) | |||||||
\(954\) | −6.78423e16 | + | 2.26384e16i | −2.77961 | + | 0.927533i | ||||
\(955\) | 1.25886e16 | + | 1.25886e16i | 0.512811 | + | 0.512811i | ||||
\(956\) | −1.19673e16 | − | 1.59350e16i | −0.484704 | − | 0.645405i | ||||
\(957\) | −5.65202e16 | + | 5.65202e16i | −2.27608 | + | 2.27608i | ||||
\(958\) | 1.45556e16 | + | 7.27195e15i | 0.582802 | + | 0.291166i | ||||
\(959\) | −1.58976e15 | −0.0632891 | ||||||||
\(960\) | −2.68959e16 | + | 1.01741e16i | −1.06462 | + | 0.402721i | ||||
\(961\) | −1.95655e16 | −0.770039 | ||||||||
\(962\) | −5.86100e15 | − | 2.92814e15i | −0.229355 | − | 0.114585i | ||||
\(963\) | 3.28789e16 | − | 3.28789e16i | 1.27930 | − | 1.27930i | ||||
\(964\) | 1.99991e16 | + | 2.66297e16i | 0.773724 | + | 1.03025i | ||||
\(965\) | 8.10666e14 | + | 8.10666e14i | 0.0311847 | + | 0.0311847i | ||||
\(966\) | 3.58206e16 | − | 1.19530e16i | 1.37012 | − | 0.457197i | ||||
\(967\) | 4.87590e15i | 0.185443i | 0.995692 | + | 0.0927213i | \(0.0295566\pi\) | ||||
−0.995692 | + | 0.0927213i | \(0.970443\pi\) | |||||||
\(968\) | −4.14500e15 | + | 7.57778e14i | −0.156751 | + | 0.0286568i | ||||
\(969\) | 4.53591e16i | 1.70563i | ||||||||
\(970\) | −7.06240e14 | − | 2.11645e15i | −0.0264063 | − | 0.0791339i | ||||
\(971\) | −5.05900e15 | − | 5.05900e15i | −0.188087 | − | 0.188087i | 0.606782 | − | 0.794869i | \(-0.292460\pi\) |
−0.794869 | + | 0.606782i | \(0.792460\pi\) | |||||||
\(972\) | 8.27062e15 | + | 1.17608e15i | 0.305755 | + | 0.0434782i | ||||
\(973\) | −7.35185e14 | + | 7.35185e14i | −0.0270257 | + | 0.0270257i | ||||
\(974\) | −1.75471e16 | + | 3.51225e16i | −0.641403 | + | 1.28384i | ||||
\(975\) | 3.33213e16 | 1.21115 | ||||||||
\(976\) | −9.62861e15 | − | 1.75045e16i | −0.348008 | − | 0.632668i | ||||
\(977\) | 7.18484e15 | 0.258224 | 0.129112 | − | 0.991630i | \(-0.458787\pi\) | ||||
0.129112 | + | 0.991630i | \(0.458787\pi\) | |||||||
\(978\) | 2.07550e16 | − | 4.15435e16i | 0.741752 | − | 1.48470i | ||||
\(979\) | 1.18752e16 | − | 1.18752e16i | 0.422025 | − | 0.422025i | ||||
\(980\) | 1.24672e15 | − | 8.76740e15i | 0.0440581 | − | 0.309833i | ||||
\(981\) | −5.33375e16 | − | 5.33375e16i | −1.87436 | − | 1.87436i | ||||
\(982\) | −1.00671e15 | − | 3.01688e15i | −0.0351795 | − | 0.105425i | ||||
\(983\) | 2.40469e16i | 0.835630i | 0.908532 | + | 0.417815i | \(0.137204\pi\) | ||||
−0.908532 | + | 0.417815i | \(0.862796\pi\) | |||||||
\(984\) | 4.65721e16 | − | 6.74099e16i | 1.60936 | − | 2.32944i | ||||
\(985\) | 8.80516e15i | 0.302579i | ||||||||
\(986\) | 4.48395e16 | − | 1.49626e16i | 1.53228 | − | 0.511308i | ||||
\(987\) | −8.84182e15 | − | 8.84182e15i | −0.300467 | − | 0.300467i | ||||
\(988\) | −2.87952e16 | + | 2.16254e16i | −0.973098 | + | 0.730804i | ||||
\(989\) | 4.45723e16 | − | 4.45723e16i | 1.49791 | − | 1.49791i | ||||
\(990\) | 3.89351e16 | + | 1.94519e16i | 1.30121 | + | 0.650082i | ||||
\(991\) | −1.78555e16 | −0.593427 | −0.296714 | − | 0.954966i | \(-0.595891\pi\) | ||||
−0.296714 | + | 0.954966i | \(0.595891\pi\) | |||||||
\(992\) | −9.84563e15 | + | 1.06573e16i | −0.325409 | + | 0.352236i | ||||
\(993\) | −4.83043e16 | −1.58769 | ||||||||
\(994\) | −2.45085e15 | − | 1.22444e15i | −0.0801109 | − | 0.0400232i | ||||
\(995\) | −1.20061e16 | + | 1.20061e16i | −0.390278 | + | 0.390278i | ||||
\(996\) | 8.03100e15 | − | 6.03135e15i | 0.259623 | − | 0.194979i | ||||
\(997\) | −4.95314e15 | − | 4.95314e15i | −0.159242 | − | 0.159242i | 0.622989 | − | 0.782231i | \(-0.285918\pi\) |
−0.782231 | + | 0.622989i | \(0.785918\pi\) | |||||||
\(998\) | −1.68228e16 | + | 5.61362e15i | −0.537873 | + | 0.179484i | ||||
\(999\) | − | 1.29133e16i | − | 0.410607i |
(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.5.18 | ✓ | 42 | |
4.3 | odd | 2 | 64.12.e.a.49.21 | 42 | |||
8.3 | odd | 2 | 128.12.e.a.97.1 | 42 | |||
8.5 | even | 2 | 128.12.e.b.97.21 | 42 | |||
16.3 | odd | 4 | 64.12.e.a.17.21 | 42 | |||
16.5 | even | 4 | 128.12.e.b.33.21 | 42 | |||
16.11 | odd | 4 | 128.12.e.a.33.1 | 42 | |||
16.13 | even | 4 | inner | 16.12.e.a.13.18 | yes | 42 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
16.12.e.a.5.18 | ✓ | 42 | 1.1 | even | 1 | trivial | |
16.12.e.a.13.18 | yes | 42 | 16.13 | even | 4 | inner | |
64.12.e.a.17.21 | 42 | 16.3 | odd | 4 | |||
64.12.e.a.49.21 | 42 | 4.3 | odd | 2 | |||
128.12.e.a.33.1 | 42 | 16.11 | odd | 4 | |||
128.12.e.a.97.1 | 42 | 8.3 | odd | 2 | |||
128.12.e.b.33.21 | 42 | 16.5 | even | 4 | |||
128.12.e.b.97.21 | 42 | 8.5 | even | 2 |