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 | 5.16 | ||
Character | \(\chi\) | \(=\) | 16.5 |
Dual form | 16.12.e.a.13.16 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 30.2883 | + | 33.6246i | 0.669284 | + | 0.743007i | ||||
\(3\) | −56.4628 | + | 56.4628i | −0.134151 | + | 0.134151i | −0.770994 | − | 0.636842i | \(-0.780240\pi\) |
0.636842 | + | 0.770994i | \(0.280240\pi\) | |||||||
\(4\) | −213.234 | + | 2036.87i | −0.104118 | + | 0.994565i | ||||
\(5\) | 6260.45 | + | 6260.45i | 0.895922 | + | 0.895922i | 0.995072 | − | 0.0991500i | \(-0.0316124\pi\) |
−0.0991500 | + | 0.995072i | \(0.531612\pi\) | |||||||
\(6\) | −3608.71 | − | 188.377i | −0.189461 | − | 0.00989002i | ||||
\(7\) | − | 32944.0i | − | 0.740861i | −0.928860 | − | 0.370431i | \(-0.879210\pi\) | ||
0.928860 | − | 0.370431i | \(-0.120790\pi\) | |||||||
\(8\) | −74947.5 | + | 54523.5i | −0.808653 | + | 0.588286i | ||||
\(9\) | 170771.i | 0.964007i | ||||||||
\(10\) | −20886.8 | + | 400124.i | −0.0660499 | + | 1.26530i | ||||
\(11\) | −151744. | − | 151744.i | −0.284088 | − | 0.284088i | 0.550649 | − | 0.834737i | \(-0.314380\pi\) |
−0.834737 | + | 0.550649i | \(0.814380\pi\) | |||||||
\(12\) | −102968. | − | 127047.i | −0.119455 | − | 0.147390i | ||||
\(13\) | −1.05140e6 | + | 1.05140e6i | −0.785380 | + | 0.785380i | −0.980733 | − | 0.195353i | \(-0.937415\pi\) |
0.195353 | + | 0.980733i | \(0.437415\pi\) | |||||||
\(14\) | 1.10773e6 | − | 997818.i | 0.550465 | − | 0.495846i | ||||
\(15\) | −706965. | −0.240379 | ||||||||
\(16\) | −4.10337e6 | − | 868658.i | −0.978319 | − | 0.207104i | ||||
\(17\) | −1.95797e6 | −0.334455 | −0.167228 | − | 0.985918i | \(-0.553481\pi\) | ||||
−0.167228 | + | 0.985918i | \(0.553481\pi\) | |||||||
\(18\) | −5.74211e6 | + | 5.17237e6i | −0.716263 | + | 0.645194i | ||||
\(19\) | 5.25340e6 | − | 5.25340e6i | 0.486738 | − | 0.486738i | −0.420537 | − | 0.907275i | \(-0.638158\pi\) |
0.907275 | + | 0.420537i | \(0.138158\pi\) | |||||||
\(20\) | −1.40867e7 | + | 1.14168e7i | −0.984335 | + | 0.797771i | ||||
\(21\) | 1.86011e6 | + | 1.86011e6i | 0.0993876 | + | 0.0993876i | ||||
\(22\) | 506267. | − | 9.69844e6i | 0.0209438 | − | 0.401215i | ||||
\(23\) | 4.62502e7i | 1.49834i | 0.662377 | + | 0.749170i | \(0.269548\pi\) | ||||
−0.662377 | + | 0.749170i | \(0.730452\pi\) | |||||||
\(24\) | 1.15320e6 | − | 7.31029e6i | 0.0295625 | − | 0.187401i | ||||
\(25\) | 2.95583e7i | 0.605354i | ||||||||
\(26\) | −6.71982e7 | − | 3.50780e6i | −1.10919 | − | 0.0579004i | ||||
\(27\) | −1.96444e7 | − | 1.96444e7i | −0.263474 | − | 0.263474i | ||||
\(28\) | 6.71026e7 | + | 7.02476e6i | 0.736834 | + | 0.0771369i | ||||
\(29\) | 1.16274e8 | − | 1.16274e8i | 1.05267 | − | 1.05267i | 0.0541405 | − | 0.998533i | \(-0.482758\pi\) |
0.998533 | − | 0.0541405i | \(-0.0172419\pi\) | |||||||
\(30\) | −2.14128e7 | − | 2.37714e7i | −0.160882 | − | 0.178603i | ||||
\(31\) | 2.86231e8 | 1.79567 | 0.897836 | − | 0.440331i | \(-0.145139\pi\) | ||||
0.897836 | + | 0.440331i | \(0.145139\pi\) | |||||||
\(32\) | −9.50758e7 | − | 1.64284e8i | −0.500893 | − | 0.865509i | ||||
\(33\) | 1.71358e7 | 0.0762217 | ||||||||
\(34\) | −5.93038e7 | − | 6.58362e7i | −0.223845 | − | 0.248502i | ||||
\(35\) | 2.06244e8 | − | 2.06244e8i | 0.663754 | − | 0.663754i | ||||
\(36\) | −3.47838e8 | − | 3.64141e7i | −0.958767 | − | 0.100370i | ||||
\(37\) | 3.33901e8 | + | 3.33901e8i | 0.791606 | + | 0.791606i | 0.981755 | − | 0.190150i | \(-0.0608973\pi\) |
−0.190150 | + | 0.981755i | \(0.560897\pi\) | |||||||
\(38\) | 3.35760e8 | + | 1.75270e7i | 0.687416 | + | 0.0358837i | ||||
\(39\) | − | 1.18730e8i | − | 0.210720i | ||||||
\(40\) | −8.10546e8 | − | 1.27864e8i | −1.25155 | − | 0.197432i | ||||
\(41\) | 1.31100e8i | 0.176722i | 0.996089 | + | 0.0883610i | \(0.0281629\pi\) | ||||
−0.996089 | + | 0.0883610i | \(0.971837\pi\) | |||||||
\(42\) | −6.20590e6 | + | 1.18885e8i | −0.00732713 | + | 0.140364i | ||||
\(43\) | 5.60465e8 | + | 5.60465e8i | 0.581396 | + | 0.581396i | 0.935287 | − | 0.353891i | \(-0.115141\pi\) |
−0.353891 | + | 0.935287i | \(0.615141\pi\) | |||||||
\(44\) | 3.41441e8 | − | 2.76727e8i | 0.312123 | − | 0.252965i | ||||
\(45\) | −1.06910e9 | + | 1.06910e9i | −0.863675 | + | 0.863675i | ||||
\(46\) | −1.55515e9 | + | 1.40084e9i | −1.11328 | + | 1.00282i | ||||
\(47\) | 1.10264e8 | 0.0701288 | 0.0350644 | − | 0.999385i | \(-0.488836\pi\) | ||||
0.0350644 | + | 0.999385i | \(0.488836\pi\) | |||||||
\(48\) | 2.80734e8 | − | 1.82641e8i | 0.159026 | − | 0.103460i | ||||
\(49\) | 8.92021e8 | 0.451125 | ||||||||
\(50\) | −9.93888e8 | + | 8.95272e8i | −0.449782 | + | 0.405154i | ||||
\(51\) | 1.10553e8 | − | 1.10553e8i | 0.0448677 | − | 0.0448677i | ||||
\(52\) | −1.91737e9 | − | 2.36576e9i | −0.699340 | − | 0.862884i | ||||
\(53\) | −2.81385e9 | − | 2.81385e9i | −0.924238 | − | 0.924238i | 0.0730872 | − | 0.997326i | \(-0.476715\pi\) |
−0.997326 | + | 0.0730872i | \(0.976715\pi\) | |||||||
\(54\) | 6.55399e7 | − | 1.25553e9i | 0.0194241 | − | 0.372102i | ||||
\(55\) | − | 1.89998e9i | − | 0.509042i | ||||||
\(56\) | 1.79622e9 | + | 2.46907e9i | 0.435838 | + | 0.599099i | ||||
\(57\) | 5.93243e8i | 0.130593i | ||||||||
\(58\) | 7.43142e9 | + | 3.87926e8i | 1.48668 | + | 0.0776060i | ||||
\(59\) | −3.57157e8 | − | 3.57157e8i | −0.0650389 | − | 0.0650389i | 0.673839 | − | 0.738878i | \(-0.264644\pi\) |
−0.738878 | + | 0.673839i | \(0.764644\pi\) | |||||||
\(60\) | 1.50749e8 | − | 1.43999e9i | 0.0250277 | − | 0.239072i | ||||
\(61\) | −6.15858e9 | + | 6.15858e9i | −0.933612 | + | 0.933612i | −0.997929 | − | 0.0643176i | \(-0.979513\pi\) |
0.0643176 | + | 0.997929i | \(0.479513\pi\) | |||||||
\(62\) | 8.66945e9 | + | 9.62440e9i | 1.20181 | + | 1.33420i | ||||
\(63\) | 5.62587e9 | 0.714195 | ||||||||
\(64\) | 2.64432e9 | − | 8.17279e9i | 0.307839 | − | 0.951438i | ||||
\(65\) | −1.31645e10 | −1.40728 | ||||||||
\(66\) | 5.19016e8 | + | 5.76186e8i | 0.0510140 | + | 0.0566332i | ||||
\(67\) | 8.27855e9 | − | 8.27855e9i | 0.749106 | − | 0.749106i | −0.225206 | − | 0.974311i | \(-0.572305\pi\) |
0.974311 | + | 0.225206i | \(0.0723054\pi\) | |||||||
\(68\) | 4.17506e8 | − | 3.98814e9i | 0.0348228 | − | 0.332637i | ||||
\(69\) | −2.61142e9 | − | 2.61142e9i | −0.201005 | − | 0.201005i | ||||
\(70\) | 1.31817e10 | + | 6.88094e8i | 0.937414 | + | 0.0489338i | ||||
\(71\) | − | 1.51270e10i | − | 0.995020i | −0.867458 | − | 0.497510i | \(-0.834248\pi\) | ||
0.867458 | − | 0.497510i | \(-0.165752\pi\) | |||||||
\(72\) | −9.31102e9 | − | 1.27989e10i | −0.567112 | − | 0.779547i | ||||
\(73\) | 1.11074e10i | 0.627100i | 0.949572 | + | 0.313550i | \(0.101518\pi\) | ||||
−0.949572 | + | 0.313550i | \(0.898482\pi\) | |||||||
\(74\) | −1.11400e9 | + | 2.13406e10i | −0.0583593 | + | 1.11798i | ||||
\(75\) | −1.66895e9 | − | 1.66895e9i | −0.0812092 | − | 0.0812092i | ||||
\(76\) | 9.58028e9 | + | 1.18207e10i | 0.433415 | + | 0.534771i | ||||
\(77\) | −4.99907e9 | + | 4.99907e9i | −0.210470 | + | 0.210470i | ||||
\(78\) | 3.99226e9 | − | 3.59614e9i | 0.156566 | − | 0.141031i | ||||
\(79\) | 1.68275e10 | 0.615275 | 0.307638 | − | 0.951504i | \(-0.400462\pi\) | ||||
0.307638 | + | 0.951504i | \(0.400462\pi\) | |||||||
\(80\) | −2.02507e10 | − | 3.11271e10i | −0.690949 | − | 1.06205i | ||||
\(81\) | −2.80332e10 | −0.893316 | ||||||||
\(82\) | −4.40818e9 | + | 3.97079e9i | −0.131306 | + | 0.118277i | ||||
\(83\) | −1.04553e10 | + | 1.04553e10i | −0.291345 | + | 0.291345i | −0.837611 | − | 0.546267i | \(-0.816049\pi\) |
0.546267 | + | 0.837611i | \(0.316049\pi\) | |||||||
\(84\) | −4.18544e9 | + | 3.39216e9i | −0.109195 | + | 0.0884994i | ||||
\(85\) | −1.22578e10 | − | 1.22578e10i | −0.299646 | − | 0.299646i | ||||
\(86\) | −1.86989e9 | + | 3.58210e10i | −0.0428621 | + | 0.821100i | ||||
\(87\) | 1.31303e10i | 0.282436i | ||||||||
\(88\) | 1.96465e10 | + | 3.09923e9i | 0.396854 | + | 0.0626036i | ||||
\(89\) | 3.00687e10i | 0.570781i | 0.958411 | + | 0.285391i | \(0.0921233\pi\) | ||||
−0.958411 | + | 0.285391i | \(0.907877\pi\) | |||||||
\(90\) | −6.83295e10 | − | 3.56686e9i | −1.21976 | − | 0.0636725i | ||||
\(91\) | 3.46373e10 | + | 3.46373e10i | 0.581858 | + | 0.581858i | ||||
\(92\) | −9.42056e10 | − | 9.86210e9i | −1.49020 | − | 0.156004i | ||||
\(93\) | −1.61614e10 | + | 1.61614e10i | −0.240892 | + | 0.240892i | ||||
\(94\) | 3.33972e9 | + | 3.70759e9i | 0.0469361 | + | 0.0521061i | ||||
\(95\) | 6.57772e10 | 0.872159 | ||||||||
\(96\) | 1.46442e10 | + | 3.90771e9i | 0.183305 | + | 0.0489137i | ||||
\(97\) | 1.53440e11 | 1.81423 | 0.907117 | − | 0.420878i | \(-0.138278\pi\) | ||||
0.907117 | + | 0.420878i | \(0.138278\pi\) | |||||||
\(98\) | 2.70178e10 | + | 2.99939e10i | 0.301931 | + | 0.335189i | ||||
\(99\) | 2.59135e10 | − | 2.59135e10i | 0.273863 | − | 0.273863i | ||||
\(100\) | −6.02064e10 | − | 6.30282e9i | −0.602064 | − | 0.0630282i | ||||
\(101\) | −1.83207e10 | − | 1.83207e10i | −0.173450 | − | 0.173450i | 0.615043 | − | 0.788493i | \(-0.289138\pi\) |
−0.788493 | + | 0.615043i | \(0.789138\pi\) | |||||||
\(102\) | 7.06575e9 | + | 3.68838e8i | 0.0633662 | + | 0.00330777i | ||||
\(103\) | − | 2.26120e11i | − | 1.92192i | −0.276688 | − | 0.960960i | \(-0.589237\pi\) | ||
0.276688 | − | 0.960960i | \(-0.410763\pi\) | |||||||
\(104\) | 2.14738e10 | − | 1.36126e11i | 0.173072 | − | 1.09713i | ||||
\(105\) | 2.32902e10i | 0.178087i | ||||||||
\(106\) | 9.38789e9 | − | 1.79842e11i | 0.0681374 | − | 1.30529i | ||||
\(107\) | 8.60250e10 | + | 8.60250e10i | 0.592945 | + | 0.592945i | 0.938426 | − | 0.345481i | \(-0.112284\pi\) |
−0.345481 | + | 0.938426i | \(0.612284\pi\) | |||||||
\(108\) | 4.42020e10 | − | 3.58243e10i | 0.289475 | − | 0.234610i | ||||
\(109\) | −5.61060e10 | + | 5.61060e10i | −0.349272 | + | 0.349272i | −0.859838 | − | 0.510567i | \(-0.829436\pi\) |
0.510567 | + | 0.859838i | \(0.329436\pi\) | |||||||
\(110\) | 6.38860e10 | − | 5.75471e10i | 0.378222 | − | 0.340694i | ||||
\(111\) | −3.77060e10 | −0.212390 | ||||||||
\(112\) | −2.86170e10 | + | 1.35181e11i | −0.153435 | + | 0.724798i | ||||
\(113\) | 2.67377e11 | 1.36519 | 0.682595 | − | 0.730797i | \(-0.260851\pi\) | ||||
0.682595 | + | 0.730797i | \(0.260851\pi\) | |||||||
\(114\) | −1.99476e10 | + | 1.79683e10i | −0.0970317 | + | 0.0874040i | ||||
\(115\) | −2.89547e11 | + | 2.89547e11i | −1.34240 | + | 1.34240i | ||||
\(116\) | 2.12041e11 | + | 2.61629e11i | 0.937350 | + | 1.15655i | ||||
\(117\) | −1.79549e11 | − | 1.79549e11i | −0.757112 | − | 0.757112i | ||||
\(118\) | 1.19159e9 | − | 2.28270e10i | 0.00479485 | − | 0.0918539i | ||||
\(119\) | 6.45034e10i | 0.247785i | ||||||||
\(120\) | 5.29852e10 | − | 3.85462e10i | 0.194383 | − | 0.141411i | ||||
\(121\) | − | 2.39259e11i | − | 0.838588i | ||||||
\(122\) | −3.93613e11 | − | 2.05469e10i | −1.31853 | − | 0.0688284i | ||||
\(123\) | −7.40226e9 | − | 7.40226e9i | −0.0237075 | − | 0.0237075i | ||||
\(124\) | −6.10340e10 | + | 5.83014e11i | −0.186962 | + | 1.78591i | ||||
\(125\) | 1.20638e11 | − | 1.20638e11i | 0.353572 | − | 0.353572i | ||||
\(126\) | 1.70398e11 | + | 1.89168e11i | 0.477999 | + | 0.530652i | ||||
\(127\) | −3.39115e11 | −0.910807 | −0.455404 | − | 0.890285i | \(-0.650505\pi\) | ||||
−0.455404 | + | 0.890285i | \(0.650505\pi\) | |||||||
\(128\) | 3.54899e11 | − | 1.58626e11i | 0.912957 | − | 0.408056i | ||||
\(129\) | −6.32909e10 | −0.155990 | ||||||||
\(130\) | −3.98730e11 | − | 4.42651e11i | −0.941870 | − | 1.04562i | ||||
\(131\) | −5.87379e11 | + | 5.87379e11i | −1.33023 | + | 1.33023i | −0.425068 | + | 0.905162i | \(0.639750\pi\) |
−0.905162 | + | 0.425068i | \(0.860250\pi\) | |||||||
\(132\) | −3.65394e9 | + | 3.49034e10i | −0.00793605 | + | 0.0758074i | ||||
\(133\) | −1.73068e11 | − | 1.73068e11i | −0.360605 | − | 0.360605i | ||||
\(134\) | 5.29107e11 | + | 2.76198e10i | 1.05795 | + | 0.0552261i | ||||
\(135\) | − | 2.45966e11i | − | 0.472105i | ||||||
\(136\) | 1.46745e11 | − | 1.06756e11i | 0.270458 | − | 0.196755i | ||||
\(137\) | 6.79735e11i | 1.20331i | 0.798757 | + | 0.601654i | \(0.205491\pi\) | ||||
−0.798757 | + | 0.601654i | \(0.794509\pi\) | |||||||
\(138\) | 8.71250e9 | − | 1.66903e11i | 0.0148186 | − | 0.283877i | ||||
\(139\) | −7.49060e11 | − | 7.49060e11i | −1.22443 | − | 1.22443i | −0.966040 | − | 0.258393i | \(-0.916807\pi\) |
−0.258393 | − | 0.966040i | \(-0.583193\pi\) | |||||||
\(140\) | 3.76114e11 | + | 4.64070e11i | 0.591038 | + | 0.729255i | ||||
\(141\) | −6.22582e9 | + | 6.22582e9i | −0.00940788 | + | 0.00940788i | ||||
\(142\) | 5.08640e11 | − | 4.58171e11i | 0.739306 | − | 0.665951i | ||||
\(143\) | 3.19089e11 | 0.446235 | ||||||||
\(144\) | 1.48341e11 | − | 7.00736e11i | 0.199650 | − | 0.943106i | ||||
\(145\) | 1.45586e12 | 1.88623 | ||||||||
\(146\) | −3.73482e11 | + | 3.36424e11i | −0.465939 | + | 0.419708i | ||||
\(147\) | −5.03660e10 | + | 5.03660e10i | −0.0605191 | + | 0.0605191i | ||||
\(148\) | −7.51313e11 | + | 6.08915e11i | −0.869724 | + | 0.704883i | ||||
\(149\) | −7.36973e11 | − | 7.36973e11i | −0.822105 | − | 0.822105i | 0.164305 | − | 0.986410i | \(-0.447462\pi\) |
−0.986410 | + | 0.164305i | \(0.947462\pi\) | |||||||
\(150\) | 5.56812e9 | − | 1.06667e11i | 0.00598696 | − | 0.114691i | ||||
\(151\) | − | 5.40219e11i | − | 0.560011i | −0.959998 | − | 0.280006i | \(-0.909664\pi\) | ||
0.959998 | − | 0.280006i | \(-0.0903363\pi\) | |||||||
\(152\) | −1.07295e11 | + | 6.80162e11i | −0.107261 | + | 0.679944i | ||||
\(153\) | − | 3.34365e11i | − | 0.322417i | ||||||
\(154\) | −3.19505e11 | − | 1.66784e10i | −0.297245 | − | 0.0155164i | ||||
\(155\) | 1.79193e12 | + | 1.79193e12i | 1.60878 | + | 1.60878i | ||||
\(156\) | 2.41838e11 | + | 2.53173e10i | 0.209575 | + | 0.0219397i | ||||
\(157\) | −1.25630e11 | + | 1.25630e11i | −0.105110 | + | 0.105110i | −0.757706 | − | 0.652596i | \(-0.773680\pi\) |
0.652596 | + | 0.757706i | \(0.273680\pi\) | |||||||
\(158\) | 5.09676e11 | + | 5.65817e11i | 0.411794 | + | 0.457154i | ||||
\(159\) | 3.17756e11 | 0.247976 | ||||||||
\(160\) | 4.33277e11 | − | 1.62371e12i | 0.326667 | − | 1.22419i | ||||
\(161\) | 1.52367e12 | 1.11006 | ||||||||
\(162\) | −8.49079e11 | − | 9.42606e11i | −0.597882 | − | 0.663740i | ||||
\(163\) | −8.92563e11 | + | 8.92563e11i | −0.607585 | + | 0.607585i | −0.942314 | − | 0.334729i | \(-0.891355\pi\) |
0.334729 | + | 0.942314i | \(0.391355\pi\) | |||||||
\(164\) | −2.67033e11 | − | 2.79549e10i | −0.175762 | − | 0.0183999i | ||||
\(165\) | 1.07278e11 | + | 1.07278e11i | 0.0682887 | + | 0.0682887i | ||||
\(166\) | −6.68230e11 | − | 3.48822e10i | −0.411464 | − | 0.0214787i | ||||
\(167\) | − | 2.53237e12i | − | 1.50864i | −0.656506 | − | 0.754321i | \(-0.727966\pi\) | ||
0.656506 | − | 0.754321i | \(-0.272034\pi\) | |||||||
\(168\) | −2.40830e11 | − | 3.79909e10i | −0.138838 | − | 0.0219017i | ||||
\(169\) | − | 4.18729e11i | − | 0.233645i | ||||||
\(170\) | 4.08958e10 | − | 7.83432e11i | 0.0220907 | − | 0.423187i | ||||
\(171\) | 8.97127e11 | + | 8.97127e11i | 0.469219 | + | 0.469219i | ||||
\(172\) | −1.26110e12 | + | 1.02208e12i | −0.638770 | + | 0.517702i | ||||
\(173\) | −1.51275e12 | + | 1.51275e12i | −0.742188 | + | 0.742188i | −0.972999 | − | 0.230810i | \(-0.925862\pi\) |
0.230810 | + | 0.972999i | \(0.425862\pi\) | |||||||
\(174\) | −4.41502e11 | + | 3.97695e11i | −0.209851 | + | 0.189030i | ||||
\(175\) | 9.73768e11 | 0.448483 | ||||||||
\(176\) | 4.90849e11 | + | 7.54477e11i | 0.219093 | + | 0.336765i | ||||
\(177\) | 4.03322e10 | 0.0174501 | ||||||||
\(178\) | −1.01105e12 | + | 9.10731e11i | −0.424094 | + | 0.382015i | ||||
\(179\) | −6.66463e8 | + | 6.66463e8i | −0.000271072 | + | 0.000271072i | −0.707242 | − | 0.706971i | \(-0.750061\pi\) |
0.706971 | + | 0.707242i | \(0.250061\pi\) | |||||||
\(180\) | −1.94965e12 | − | 2.40559e12i | −0.769057 | − | 0.948905i | ||||
\(181\) | −8.79540e11 | − | 8.79540e11i | −0.336530 | − | 0.336530i | 0.518530 | − | 0.855060i | \(-0.326480\pi\) |
−0.855060 | + | 0.518530i | \(0.826480\pi\) | |||||||
\(182\) | −1.15561e11 | + | 2.21378e12i | −0.0428962 | + | 0.821752i | ||||
\(183\) | − | 6.95461e11i | − | 0.250491i | ||||||
\(184\) | −2.52172e12 | − | 3.46634e12i | −0.881453 | − | 1.21164i | ||||
\(185\) | 4.18075e12i | 1.41843i | ||||||||
\(186\) | −1.03292e12 | − | 5.39194e10i | −0.340209 | − | 0.0177592i | ||||
\(187\) | 2.97112e11 | + | 2.97112e11i | 0.0950147 | + | 0.0950147i | ||||
\(188\) | −2.35120e10 | + | 2.24594e11i | −0.00730166 | + | 0.0697476i | ||||
\(189\) | −6.47165e11 | + | 6.47165e11i | −0.195198 | + | 0.195198i | ||||
\(190\) | 1.99228e12 | + | 2.21174e12i | 0.583722 | + | 0.648020i | ||||
\(191\) | 5.27207e12 | 1.50071 | 0.750357 | − | 0.661033i | \(-0.229882\pi\) | ||||
0.750357 | + | 0.661033i | \(0.229882\pi\) | |||||||
\(192\) | 3.12153e11 | + | 6.10764e11i | 0.0863398 | + | 0.168934i | ||||
\(193\) | −4.42702e12 | −1.19000 | −0.595000 | − | 0.803726i | \(-0.702848\pi\) | ||||
−0.595000 | + | 0.803726i | \(0.702848\pi\) | |||||||
\(194\) | 4.64744e12 | + | 5.15936e12i | 1.21424 | + | 1.34799i | ||||
\(195\) | 7.43304e11 | − | 7.43304e11i | 0.188789 | − | 0.188789i | ||||
\(196\) | −1.90209e11 | + | 1.81693e12i | −0.0469702 | + | 0.448673i | ||||
\(197\) | −1.55303e12 | − | 1.55303e12i | −0.372920 | − | 0.372920i | 0.495620 | − | 0.868540i | \(-0.334941\pi\) |
−0.868540 | + | 0.495620i | \(0.834941\pi\) | |||||||
\(198\) | 1.65621e12 | + | 8.64556e10i | 0.386774 | + | 0.0201899i | ||||
\(199\) | − | 9.09713e11i | − | 0.206639i | −0.994648 | − | 0.103320i | \(-0.967054\pi\) | ||
0.994648 | − | 0.103320i | \(-0.0329464\pi\) | |||||||
\(200\) | −1.61162e12 | − | 2.21532e12i | −0.356121 | − | 0.489521i | ||||
\(201\) | 9.34861e11i | 0.200987i | ||||||||
\(202\) | 6.11235e10 | − | 1.17093e12i | 0.0127872 | − | 0.244962i | ||||
\(203\) | −3.83053e12 | − | 3.83053e12i | −0.779885 | − | 0.779885i | ||||
\(204\) | 2.01608e11 | + | 2.48755e11i | 0.0399523 | + | 0.0492953i | ||||
\(205\) | −8.20744e11 | + | 8.20744e11i | −0.158329 | + | 0.158329i | ||||
\(206\) | 7.60322e12 | − | 6.84881e12i | 1.42800 | − | 1.28631i | ||||
\(207\) | −7.89819e12 | −1.44441 | ||||||||
\(208\) | 5.22759e12 | − | 3.40098e12i | 0.931008 | − | 0.605697i | ||||
\(209\) | −1.59435e12 | −0.276553 | ||||||||
\(210\) | −7.83126e11 | + | 7.05422e11i | −0.132320 | + | 0.119191i | ||||
\(211\) | 7.96643e12 | − | 7.96643e12i | 1.31132 | − | 1.31132i | 0.390884 | − | 0.920440i | \(-0.372169\pi\) |
0.920440 | − | 0.390884i | \(-0.127831\pi\) | |||||||
\(212\) | 6.33146e12 | − | 5.13144e12i | 1.01544 | − | 0.822985i | ||||
\(213\) | 8.54112e11 | + | 8.54112e11i | 0.133483 | + | 0.133483i | ||||
\(214\) | −2.87006e11 | + | 5.49812e12i | −0.0437135 | + | 0.837410i | ||||
\(215\) | 7.01753e12i | 1.04177i | ||||||||
\(216\) | 2.54338e12 | + | 4.01218e11i | 0.368058 | + | 0.0580610i | ||||
\(217\) | − | 9.42957e12i | − | 1.33034i | ||||||
\(218\) | −3.58590e12 | − | 1.87187e11i | −0.493273 | − | 0.0257493i | ||||
\(219\) | −6.27155e11 | − | 6.27155e11i | −0.0841263 | − | 0.0841263i | ||||
\(220\) | 3.87000e12 | + | 4.05139e11i | 0.506275 | + | 0.0530004i | ||||
\(221\) | 2.05862e12 | − | 2.05862e12i | 0.262675 | − | 0.262675i | ||||
\(222\) | −1.14205e12 | − | 1.26785e12i | −0.142149 | − | 0.157807i | ||||
\(223\) | 6.00097e12 | 0.728693 | 0.364346 | − | 0.931263i | \(-0.381292\pi\) | ||||
0.364346 | + | 0.931263i | \(0.381292\pi\) | |||||||
\(224\) | −5.41218e12 | + | 3.13218e12i | −0.641222 | + | 0.371092i | ||||
\(225\) | −5.04770e12 | −0.583566 | ||||||||
\(226\) | 8.09842e12 | + | 8.99047e12i | 0.913700 | + | 1.01435i | ||||
\(227\) | −9.49853e12 | + | 9.49853e12i | −1.04596 | + | 1.04596i | −0.0470662 | + | 0.998892i | \(0.514987\pi\) |
−0.998892 | + | 0.0470662i | \(0.985013\pi\) | |||||||
\(228\) | −1.20836e12 | − | 1.26499e11i | −0.129884 | − | 0.0135971i | ||||
\(229\) | 3.57204e12 | + | 3.57204e12i | 0.374819 | + | 0.374819i | 0.869229 | − | 0.494410i | \(-0.164616\pi\) |
−0.494410 | + | 0.869229i | \(0.664616\pi\) | |||||||
\(230\) | −1.85058e13 | − | 9.66019e11i | −1.89586 | − | 0.0989652i | ||||
\(231\) | − | 5.64522e11i | − | 0.0564697i | ||||||
\(232\) | −2.37478e12 | + | 1.50541e13i | −0.231974 | + | 1.47052i | ||||
\(233\) | 5.68541e12i | 0.542380i | 0.962526 | + | 0.271190i | \(0.0874172\pi\) | ||||
−0.962526 | + | 0.271190i | \(0.912583\pi\) | |||||||
\(234\) | 5.99031e11 | − | 1.14755e13i | 0.0558164 | − | 1.06926i | ||||
\(235\) | 6.90303e11 | + | 6.90303e11i | 0.0628299 | + | 0.0628299i | ||||
\(236\) | 8.03640e11 | − | 6.51325e11i | 0.0714572 | − | 0.0579137i | ||||
\(237\) | −9.50126e11 | + | 9.50126e11i | −0.0825401 | + | 0.0825401i | ||||
\(238\) | −2.16891e12 | + | 1.95370e12i | −0.184106 | + | 0.165838i | ||||
\(239\) | −1.23973e13 | −1.02834 | −0.514171 | − | 0.857688i | \(-0.671900\pi\) | ||||
−0.514171 | + | 0.857688i | \(0.671900\pi\) | |||||||
\(240\) | 2.90094e12 | + | 6.14111e11i | 0.235167 | + | 0.0497834i | ||||
\(241\) | −2.15671e12 | −0.170883 | −0.0854414 | − | 0.996343i | \(-0.527230\pi\) | ||||
−0.0854414 | + | 0.996343i | \(0.527230\pi\) | |||||||
\(242\) | 8.04500e12 | − | 7.24675e12i | 0.623076 | − | 0.561253i | ||||
\(243\) | 5.06278e12 | − | 5.06278e12i | 0.383314 | − | 0.383314i | ||||
\(244\) | −1.12310e13 | − | 1.38574e13i | −0.831332 | − | 1.02574i | ||||
\(245\) | 5.58445e12 | + | 5.58445e12i | 0.404173 | + | 0.404173i | ||||
\(246\) | 2.46962e10 | − | 4.73101e11i | 0.00174778 | − | 0.0334819i | ||||
\(247\) | 1.10469e13i | 0.764549i | ||||||||
\(248\) | −2.14523e13 | + | 1.56063e13i | −1.45207 | + | 1.05637i | ||||
\(249\) | − | 1.18067e12i | − | 0.0781687i | ||||||
\(250\) | 7.71031e12 | + | 4.02485e11i | 0.499347 | + | 0.0260663i | ||||
\(251\) | −2.78742e11 | − | 2.78742e11i | −0.0176603 | − | 0.0176603i | 0.698222 | − | 0.715882i | \(-0.253975\pi\) |
−0.715882 | + | 0.698222i | \(0.753975\pi\) | |||||||
\(252\) | −1.19962e12 | + | 1.14592e13i | −0.0743605 | + | 0.710313i | ||||
\(253\) | 7.01821e12 | − | 7.01821e12i | 0.425661 | − | 0.425661i | ||||
\(254\) | −1.02712e13 | − | 1.14026e13i | −0.609589 | − | 0.676736i | ||||
\(255\) | 1.38422e12 | 0.0803959 | ||||||||
\(256\) | 1.60831e13 | + | 7.12884e12i | 0.914216 | + | 0.405228i | ||||
\(257\) | 1.43940e13 | 0.800844 | 0.400422 | − | 0.916331i | \(-0.368864\pi\) | ||||
0.400422 | + | 0.916331i | \(0.368864\pi\) | |||||||
\(258\) | −1.91698e12 | − | 2.12813e12i | −0.104402 | − | 0.115902i | ||||
\(259\) | 1.10000e13 | − | 1.10000e13i | 0.586470 | − | 0.586470i | ||||
\(260\) | 2.80711e12 | − | 2.68143e13i | 0.146523 | − | 1.39963i | ||||
\(261\) | 1.98562e13 | + | 1.98562e13i | 1.01478 | + | 1.01478i | ||||
\(262\) | −3.75412e13 | − | 1.95968e12i | −1.87867 | − | 0.0980682i | ||||
\(263\) | 1.03878e13i | 0.509057i | 0.967065 | + | 0.254529i | \(0.0819203\pi\) | ||||
−0.967065 | + | 0.254529i | \(0.918080\pi\) | |||||||
\(264\) | −1.28429e12 | + | 9.34305e11i | −0.0616369 | + | 0.0448402i | ||||
\(265\) | − | 3.52320e13i | − | 1.65609i | ||||||
\(266\) | 5.77408e11 | − | 1.10613e13i | 0.0265848 | − | 0.509280i | ||||
\(267\) | −1.69776e12 | − | 1.69776e12i | −0.0765711 | − | 0.0765711i | ||||
\(268\) | 1.50971e13 | + | 1.86276e13i | 0.667039 | + | 0.823029i | ||||
\(269\) | 2.99941e13 | − | 2.99941e13i | 1.29837 | − | 1.29837i | 0.368903 | − | 0.929468i | \(-0.379734\pi\) |
0.929468 | − | 0.368903i | \(-0.120266\pi\) | |||||||
\(270\) | 8.27051e12 | − | 7.44989e12i | 0.350777 | − | 0.315973i | ||||
\(271\) | −2.44910e13 | −1.01783 | −0.508915 | − | 0.860817i | \(-0.669953\pi\) | ||||
−0.508915 | + | 0.860817i | \(0.669953\pi\) | |||||||
\(272\) | 8.03429e12 | + | 1.70081e12i | 0.327204 | + | 0.0692670i | ||||
\(273\) | −3.91144e12 | −0.156114 | ||||||||
\(274\) | −2.28558e13 | + | 2.05880e13i | −0.894065 | + | 0.805354i | ||||
\(275\) | 4.48531e12 | − | 4.48531e12i | 0.171974 | − | 0.171974i | ||||
\(276\) | 5.87596e12 | − | 4.76227e12i | 0.220840 | − | 0.178984i | ||||
\(277\) | 1.19102e13 | + | 1.19102e13i | 0.438815 | + | 0.438815i | 0.891613 | − | 0.452798i | \(-0.149574\pi\) |
−0.452798 | + | 0.891613i | \(0.649574\pi\) | |||||||
\(278\) | 2.49910e12 | − | 4.78746e13i | 0.0902686 | − | 1.72925i | ||||
\(279\) | 4.88799e13i | 1.73104i | ||||||||
\(280\) | −4.21233e12 | + | 2.67026e13i | −0.146269 | + | 0.927224i | ||||
\(281\) | 1.77505e13i | 0.604403i | 0.953244 | + | 0.302201i | \(0.0977215\pi\) | ||||
−0.953244 | + | 0.302201i | \(0.902279\pi\) | |||||||
\(282\) | −3.97911e11 | − | 2.07713e10i | −0.0132867 | − | 0.000693575i | ||||
\(283\) | −6.56292e12 | − | 6.56292e12i | −0.214917 | − | 0.214917i | 0.591435 | − | 0.806353i | \(-0.298562\pi\) |
−0.806353 | + | 0.591435i | \(0.798562\pi\) | |||||||
\(284\) | 3.08117e13 | + | 3.22558e12i | 0.989612 | + | 0.103599i | ||||
\(285\) | −3.71397e12 | + | 3.71397e12i | −0.117001 | + | 0.117001i | ||||
\(286\) | 9.66466e12 | + | 1.07292e13i | 0.298658 | + | 0.331555i | ||||
\(287\) | 4.31895e12 | 0.130927 | ||||||||
\(288\) | 2.80550e13 | − | 1.62362e13i | 0.834357 | − | 0.482865i | ||||
\(289\) | −3.04382e13 | −0.888140 | ||||||||
\(290\) | 4.40954e13 | + | 4.89526e13i | 1.26242 | + | 1.40148i | ||||
\(291\) | −8.66364e12 | + | 8.66364e12i | −0.243382 | + | 0.243382i | ||||
\(292\) | −2.26243e13 | − | 2.36847e12i | −0.623691 | − | 0.0652923i | ||||
\(293\) | −1.28607e13 | − | 1.28607e13i | −0.347931 | − | 0.347931i | 0.511408 | − | 0.859338i | \(-0.329124\pi\) |
−0.859338 | + | 0.511408i | \(0.829124\pi\) | |||||||
\(294\) | −3.21904e12 | − | 1.68037e11i | −0.0854705 | − | 0.00446163i | ||||
\(295\) | − | 4.47193e12i | − | 0.116540i | ||||||
\(296\) | −4.32305e13 | − | 6.81961e12i | −1.10582 | − | 0.174444i | ||||
\(297\) | 5.96186e12i | 0.149700i | ||||||||
\(298\) | 2.45877e12 | − | 4.71021e13i | 0.0606078 | − | 1.16105i | ||||
\(299\) | −4.86275e13 | − | 4.86275e13i | −1.17677 | − | 1.17677i | ||||
\(300\) | 3.75530e12 | − | 3.04355e12i | 0.0892231 | − | 0.0723125i | ||||
\(301\) | 1.84640e13 | − | 1.84640e13i | 0.430734 | − | 0.430734i | ||||
\(302\) | 1.81647e13 | − | 1.63623e13i | 0.416092 | − | 0.374806i | ||||
\(303\) | 2.06887e12 | 0.0465371 | ||||||||
\(304\) | −2.61200e13 | + | 1.69932e13i | −0.576991 | + | 0.375380i | ||||
\(305\) | −7.71109e13 | −1.67289 | ||||||||
\(306\) | 1.12429e13 | − | 1.01274e13i | 0.239558 | − | 0.215789i | ||||
\(307\) | 2.49037e13 | − | 2.49037e13i | 0.521199 | − | 0.521199i | −0.396735 | − | 0.917933i | \(-0.629857\pi\) |
0.917933 | + | 0.396735i | \(0.129857\pi\) | |||||||
\(308\) | −9.11647e12 | − | 1.12484e13i | −0.187412 | − | 0.231240i | ||||
\(309\) | 1.27674e13 | + | 1.27674e13i | 0.257828 | + | 0.257828i | ||||
\(310\) | −5.97844e12 | + | 1.14528e14i | −0.118604 | + | 2.27207i | ||||
\(311\) | − | 4.08332e13i | − | 0.795851i | −0.917418 | − | 0.397925i | \(-0.869730\pi\) | ||
0.917418 | − | 0.397925i | \(-0.130270\pi\) | |||||||
\(312\) | 6.47358e12 | + | 8.89853e12i | 0.123964 | + | 0.170399i | ||||
\(313\) | 1.00390e13i | 0.188885i | 0.995530 | + | 0.0944423i | \(0.0301068\pi\) | ||||
−0.995530 | + | 0.0944423i | \(0.969893\pi\) | |||||||
\(314\) | −8.02940e12 | − | 4.19142e11i | −0.148447 | − | 0.00774904i | ||||
\(315\) | 3.52205e13 | + | 3.52205e13i | 0.639863 | + | 0.639863i | ||||
\(316\) | −3.58818e12 | + | 3.42753e13i | −0.0640612 | + | 0.611931i | ||||
\(317\) | −6.71251e13 | + | 6.71251e13i | −1.17777 | + | 1.17777i | −0.197455 | + | 0.980312i | \(0.563268\pi\) |
−0.980312 | + | 0.197455i | \(0.936732\pi\) | |||||||
\(318\) | 9.62430e12 | + | 1.06844e13i | 0.165966 | + | 0.184248i | ||||
\(319\) | −3.52879e13 | −0.598104 | ||||||||
\(320\) | 6.77200e13 | − | 3.46107e13i | 1.12822 | − | 0.576615i | ||||
\(321\) | −9.71443e12 | −0.159089 | ||||||||
\(322\) | 4.61493e13 | + | 5.12327e13i | 0.742947 | + | 0.824784i | ||||
\(323\) | −1.02860e13 | + | 1.02860e13i | −0.162792 | + | 0.162792i | ||||
\(324\) | 5.97762e12 | − | 5.70999e13i | 0.0930102 | − | 0.888461i | ||||
\(325\) | −3.10776e13 | − | 3.10776e13i | −0.475433 | − | 0.475433i | ||||
\(326\) | −5.70463e13 | − | 2.97787e12i | −0.858086 | − | 0.0447928i | ||||
\(327\) | − | 6.33580e12i | − | 0.0937106i | ||||||
\(328\) | −7.14802e12 | − | 9.82560e12i | −0.103963 | − | 0.142907i | ||||
\(329\) | − | 3.63254e12i | − | 0.0519557i | ||||||
\(330\) | −3.57913e11 | + | 6.85646e12i | −0.00503443 | + | 0.0964435i | ||||
\(331\) | 3.21941e13 | + | 3.21941e13i | 0.445371 | + | 0.445371i | 0.893812 | − | 0.448441i | \(-0.148021\pi\) |
−0.448441 | + | 0.893812i | \(0.648021\pi\) | |||||||
\(332\) | −1.90667e13 | − | 2.35255e13i | −0.259427 | − | 0.320096i | ||||
\(333\) | −5.70207e13 | + | 5.70207e13i | −0.763113 | + | 0.763113i | ||||
\(334\) | 8.51500e13 | − | 7.67012e13i | 1.12093 | − | 1.00971i | ||||
\(335\) | 1.03655e14 | 1.34228 | ||||||||
\(336\) | −6.01691e12 | − | 9.24851e12i | −0.0766492 | − | 0.117816i | ||||
\(337\) | 1.17704e14 | 1.47512 | 0.737562 | − | 0.675279i | \(-0.235977\pi\) | ||||
0.737562 | + | 0.675279i | \(0.235977\pi\) | |||||||
\(338\) | 1.40796e13 | − | 1.26826e13i | 0.173600 | − | 0.156375i | ||||
\(339\) | −1.50969e13 | + | 1.50969e13i | −0.183142 | + | 0.183142i | ||||
\(340\) | 2.75813e13 | − | 2.23538e13i | 0.329216 | − | 0.266819i | ||||
\(341\) | −4.34339e13 | − | 4.34339e13i | −0.510129 | − | 0.510129i | ||||
\(342\) | −2.99310e12 | + | 5.73381e13i | −0.0345921 | + | 0.662673i | ||||
\(343\) | − | 9.45277e13i | − | 1.07508i | ||||||
\(344\) | −7.25640e13 | − | 1.14470e13i | −0.812175 | − | 0.128120i | ||||
\(345\) | − | 3.26973e13i | − | 0.360169i | ||||||
\(346\) | −9.66845e13 | − | 5.04701e12i | −1.04819 | − | 0.0547162i | ||||
\(347\) | 6.26543e13 | + | 6.26543e13i | 0.668558 | + | 0.668558i | 0.957382 | − | 0.288824i | \(-0.0932644\pi\) |
−0.288824 | + | 0.957382i | \(0.593264\pi\) | |||||||
\(348\) | −2.67447e13 | − | 2.79982e12i | −0.280900 | − | 0.0294066i | ||||
\(349\) | 4.36968e13 | − | 4.36968e13i | 0.451762 | − | 0.451762i | −0.444177 | − | 0.895939i | \(-0.646504\pi\) |
0.895939 | + | 0.444177i | \(0.146504\pi\) | |||||||
\(350\) | 2.94938e13 | + | 3.27426e13i | 0.300163 | + | 0.333226i | ||||
\(351\) | 4.13083e13 | 0.413855 | ||||||||
\(352\) | −1.05020e13 | + | 3.93565e13i | −0.103583 | + | 0.388179i | ||||
\(353\) | 1.05748e14 | 1.02686 | 0.513431 | − | 0.858131i | \(-0.328374\pi\) | ||||
0.513431 | + | 0.858131i | \(0.328374\pi\) | |||||||
\(354\) | 1.22160e12 | + | 1.35616e12i | 0.0116791 | + | 0.0129656i | ||||
\(355\) | 9.47017e13 | − | 9.47017e13i | 0.891460 | − | 0.891460i | ||||
\(356\) | −6.12460e13 | − | 6.41166e12i | −0.567679 | − | 0.0594286i | ||||
\(357\) | −3.64205e12 | − | 3.64205e12i | −0.0332407 | − | 0.0332407i | ||||
\(358\) | −4.25956e10 | − | 2.22353e9i | −0.000382832 | − | 1.99842e-5i | ||||
\(359\) | − | 2.59583e13i | − | 0.229751i | −0.993380 | − | 0.114875i | \(-0.963353\pi\) | ||
0.993380 | − | 0.114875i | \(-0.0366469\pi\) | |||||||
\(360\) | 2.18354e13 | − | 1.38418e14i | 0.190325 | − | 1.20650i | ||||
\(361\) | 6.12939e13i | 0.526172i | ||||||||
\(362\) | 2.93442e12 | − | 5.62140e13i | 0.0248099 | − | 0.475278i | ||||
\(363\) | 1.35092e13 | + | 1.35092e13i | 0.112498 | + | 0.112498i | ||||
\(364\) | −7.79376e13 | + | 6.31659e13i | −0.639277 | + | 0.518114i | ||||
\(365\) | −6.95373e13 | + | 6.95373e13i | −0.561833 | + | 0.561833i | ||||
\(366\) | 2.33846e13 | − | 2.10644e13i | 0.186116 | − | 0.167650i | ||||
\(367\) | 1.12895e14 | 0.885137 | 0.442568 | − | 0.896735i | \(-0.354067\pi\) | ||||
0.442568 | + | 0.896735i | \(0.354067\pi\) | |||||||
\(368\) | 4.01756e13 | − | 1.89782e14i | 0.310313 | − | 1.46586i | ||||
\(369\) | −2.23880e13 | −0.170361 | ||||||||
\(370\) | −1.40576e14 | + | 1.26628e14i | −1.05391 | + | 0.949335i | ||||
\(371\) | −9.26995e13 | + | 9.26995e13i | −0.684732 | + | 0.684732i | ||||
\(372\) | −2.94725e13 | − | 3.63648e13i | −0.214502 | − | 0.264664i | ||||
\(373\) | −4.27445e13 | − | 4.27445e13i | −0.306536 | − | 0.306536i | 0.537028 | − | 0.843564i | \(-0.319547\pi\) |
−0.843564 | + | 0.537028i | \(0.819547\pi\) | |||||||
\(374\) | −9.91257e11 | + | 1.89893e13i | −0.00700475 | + | 0.134188i | ||||
\(375\) | 1.36231e13i | 0.0948644i | ||||||||
\(376\) | −8.26402e12 | + | 6.01198e12i | −0.0567098 | + | 0.0412558i | ||||
\(377\) | 2.44501e14i | 1.65350i | ||||||||
\(378\) | −4.13623e13 | − | 2.15914e12i | −0.275676 | − | 0.0143905i | ||||
\(379\) | −1.18007e14 | − | 1.18007e14i | −0.775162 | − | 0.775162i | 0.203842 | − | 0.979004i | \(-0.434657\pi\) |
−0.979004 | + | 0.203842i | \(0.934657\pi\) | |||||||
\(380\) | −1.40259e13 | + | 1.33980e14i | −0.0908075 | + | 0.867419i | ||||
\(381\) | 1.91474e13 | − | 1.91474e13i | 0.122186 | − | 0.122186i | ||||
\(382\) | 1.59682e14 | + | 1.77272e14i | 1.00440 | + | 1.11504i | ||||
\(383\) | −7.83589e13 | −0.485842 | −0.242921 | − | 0.970046i | \(-0.578106\pi\) | ||||
−0.242921 | + | 0.970046i | \(0.578106\pi\) | |||||||
\(384\) | −1.10821e13 | + | 2.89951e13i | −0.0677332 | + | 0.177216i | ||||
\(385\) | −6.25928e13 | −0.377129 | ||||||||
\(386\) | −1.34087e14 | − | 1.48857e14i | −0.796447 | − | 0.884177i | ||||
\(387\) | −9.57112e13 | + | 9.57112e13i | −0.560470 | + | 0.560470i | ||||
\(388\) | −3.27185e13 | + | 3.12537e14i | −0.188894 | + | 1.80437i | ||||
\(389\) | 5.66527e13 | + | 5.66527e13i | 0.322476 | + | 0.322476i | 0.849716 | − | 0.527240i | \(-0.176773\pi\) |
−0.527240 | + | 0.849716i | \(0.676773\pi\) | |||||||
\(390\) | 4.75068e13 | + | 2.47989e12i | 0.266625 | + | 0.0139180i | ||||
\(391\) | − | 9.05567e13i | − | 0.501128i | ||||||
\(392\) | −6.68548e13 | + | 4.86361e13i | −0.364803 | + | 0.265390i | ||||
\(393\) | − | 6.63302e13i | − | 0.356904i | ||||||
\(394\) | 5.18139e12 | − | 9.92587e13i | 0.0274927 | − | 0.526671i | ||||
\(395\) | 1.05347e14 | + | 1.05347e14i | 0.551239 | + | 0.551239i | ||||
\(396\) | 4.72568e13 | + | 5.83081e13i | 0.243860 | + | 0.300888i | ||||
\(397\) | 1.13353e14 | − | 1.13353e14i | 0.576881 | − | 0.576881i | −0.357161 | − | 0.934043i | \(-0.616255\pi\) |
0.934043 | + | 0.357161i | \(0.116255\pi\) | |||||||
\(398\) | 3.05888e13 | − | 2.75537e13i | 0.153534 | − | 0.138300i | ||||
\(399\) | 1.95438e13 | 0.0967515 | ||||||||
\(400\) | 2.56761e13 | − | 1.21289e14i | 0.125371 | − | 0.592229i | ||||
\(401\) | 2.11807e14 | 1.02011 | 0.510054 | − | 0.860142i | \(-0.329625\pi\) | ||||
0.510054 | + | 0.860142i | \(0.329625\pi\) | |||||||
\(402\) | −3.14344e13 | + | 2.83154e13i | −0.149335 | + | 0.134518i | ||||
\(403\) | −3.00943e14 | + | 3.00943e14i | −1.41029 | + | 1.41029i | ||||
\(404\) | 4.12234e13 | − | 3.34102e13i | 0.190566 | − | 0.154448i | ||||
\(405\) | −1.75500e14 | − | 1.75500e14i | −0.800342 | − | 0.800342i | ||||
\(406\) | 1.27798e13 | − | 2.44821e14i | 0.0574953 | − | 1.10142i | ||||
\(407\) | − | 1.01335e14i | − | 0.449771i | ||||||
\(408\) | −2.25793e12 | + | 1.43134e13i | −0.00988735 | + | 0.0626774i | ||||
\(409\) | − | 3.06014e14i | − | 1.32210i | −0.750343 | − | 0.661049i | \(-0.770112\pi\) | ||
0.750343 | − | 0.661049i | \(-0.229888\pi\) | |||||||
\(410\) | −5.24562e13 | − | 2.73826e12i | −0.223607 | − | 0.0116725i | ||||
\(411\) | −3.83797e13 | − | 3.83797e13i | −0.161425 | − | 0.161425i | ||||
\(412\) | 4.60578e14 | + | 4.82165e13i | 1.91147 | + | 0.200106i | ||||
\(413\) | −1.17662e13 | + | 1.17662e13i | −0.0481848 | + | 0.0481848i | ||||
\(414\) | −2.39223e14 | − | 2.65574e14i | −0.966721 | − | 1.07321i | ||||
\(415\) | −1.30910e14 | −0.522045 | ||||||||
\(416\) | 2.72692e14 | + | 7.27660e13i | 1.07315 | + | 0.286362i | ||||
\(417\) | 8.45880e13 | 0.328519 | ||||||||
\(418\) | −4.82901e13 | − | 5.36094e13i | −0.185093 | − | 0.205481i | ||||
\(419\) | 4.57305e13 | − | 4.57305e13i | 0.172993 | − | 0.172993i | −0.615300 | − | 0.788293i | \(-0.710965\pi\) |
0.788293 | + | 0.615300i | \(0.210965\pi\) | |||||||
\(420\) | −4.74392e13 | − | 4.96626e12i | −0.177119 | − | 0.0185421i | ||||
\(421\) | −2.12318e14 | − | 2.12318e14i | −0.782412 | − | 0.782412i | 0.197825 | − | 0.980237i | \(-0.436612\pi\) |
−0.980237 | + | 0.197825i | \(0.936612\pi\) | |||||||
\(422\) | 5.09158e14 | + | 2.65785e13i | 1.85197 | + | 0.0966744i | ||||
\(423\) | 1.88299e13i | 0.0676046i | ||||||||
\(424\) | 3.64312e14 | + | 5.74702e13i | 1.29110 | + | 0.203672i | ||||
\(425\) | − | 5.78744e13i | − | 0.202464i | ||||||
\(426\) | −2.84958e12 | + | 5.45889e13i | −0.00984076 | + | 0.188517i | ||||
\(427\) | 2.02888e14 | + | 2.02888e14i | 0.691677 | + | 0.691677i | ||||
\(428\) | −1.93565e14 | + | 1.56878e14i | −0.651458 | + | 0.527986i | ||||
\(429\) | −1.80166e13 | + | 1.80166e13i | −0.0598630 | + | 0.0598630i | ||||
\(430\) | −2.35962e14 | + | 2.12549e14i | −0.774043 | + | 0.697241i | ||||
\(431\) | −4.65703e14 | −1.50829 | −0.754143 | − | 0.656710i | \(-0.771948\pi\) | ||||
−0.754143 | + | 0.656710i | \(0.771948\pi\) | |||||||
\(432\) | 6.35440e13 | + | 9.76725e13i | 0.203195 | + | 0.312329i | ||||
\(433\) | 3.52107e14 | 1.11171 | 0.555855 | − | 0.831280i | \(-0.312391\pi\) | ||||
0.555855 | + | 0.831280i | \(0.312391\pi\) | |||||||
\(434\) | 3.17066e14 | − | 2.85606e14i | 0.988454 | − | 0.890377i | ||||
\(435\) | −8.22017e13 | + | 8.22017e13i | −0.253040 | + | 0.253040i | ||||
\(436\) | −1.02317e14 | − | 1.26244e14i | −0.311008 | − | 0.383739i | ||||
\(437\) | 2.42971e14 | + | 2.42971e14i | 0.729300 | + | 0.729300i | ||||
\(438\) | 2.09238e12 | − | 4.00833e13i | 0.00620203 | − | 0.118811i | ||||
\(439\) | − | 3.34946e14i | − | 0.980438i | −0.871599 | − | 0.490219i | \(-0.836917\pi\) | ||
0.871599 | − | 0.490219i | \(-0.163083\pi\) | |||||||
\(440\) | 1.03593e14 | + | 1.42398e14i | 0.299462 | + | 0.411638i | ||||
\(441\) | 1.52331e14i | 0.434887i | ||||||||
\(442\) | 1.31572e14 | + | 6.86819e12i | 0.370973 | + | 0.0193651i | ||||
\(443\) | −2.92942e14 | − | 2.92942e14i | −0.815758 | − | 0.815758i | 0.169732 | − | 0.985490i | \(-0.445710\pi\) |
−0.985490 | + | 0.169732i | \(0.945710\pi\) | |||||||
\(444\) | 8.04019e12 | − | 7.68022e13i | 0.0221136 | − | 0.211236i | ||||
\(445\) | −1.88244e14 | + | 1.88244e14i | −0.511376 | + | 0.511376i | ||||
\(446\) | 1.81759e14 | + | 2.01780e14i | 0.487702 | + | 0.541424i | ||||
\(447\) | 8.32231e13 | 0.220573 | ||||||||
\(448\) | −2.69244e14 | − | 8.71143e13i | −0.704884 | − | 0.228066i | ||||
\(449\) | 9.79517e13 | 0.253313 | 0.126656 | − | 0.991947i | \(-0.459575\pi\) | ||||
0.126656 | + | 0.991947i | \(0.459575\pi\) | |||||||
\(450\) | −1.52886e14 | − | 1.69727e14i | −0.390571 | − | 0.433593i | ||||
\(451\) | 1.98937e13 | − | 1.98937e13i | 0.0502046 | − | 0.0502046i | ||||
\(452\) | −5.70138e13 | + | 5.44613e14i | −0.142141 | + | 1.35777i | ||||
\(453\) | 3.05023e13 | + | 3.05023e13i | 0.0751263 | + | 0.0751263i | ||||
\(454\) | −6.07079e14 | − | 3.16901e13i | −1.47720 | − | 0.0771109i | ||||
\(455\) | 4.33691e14i | 1.04260i | ||||||||
\(456\) | −3.23457e13 | − | 4.44621e13i | −0.0768262 | − | 0.105605i | ||||
\(457\) | 2.00143e14i | 0.469679i | 0.972034 | + | 0.234840i | \(0.0754565\pi\) | ||||
−0.972034 | + | 0.234840i | \(0.924544\pi\) | |||||||
\(458\) | −1.19174e13 | + | 2.28300e14i | −0.0276327 | + | 0.529353i | ||||
\(459\) | 3.84633e13 | + | 3.84633e13i | 0.0881204 | + | 0.0881204i | ||||
\(460\) | −5.28028e14 | − | 6.51511e14i | −1.19533 | − | 1.47487i | ||||
\(461\) | 1.05469e14 | − | 1.05469e14i | 0.235923 | − | 0.235923i | −0.579237 | − | 0.815159i | \(-0.696649\pi\) |
0.815159 | + | 0.579237i | \(0.196649\pi\) | |||||||
\(462\) | 1.89819e13 | − | 1.70984e13i | 0.0419574 | − | 0.0377943i | ||||
\(463\) | 4.68208e14 | 1.02269 | 0.511345 | − | 0.859376i | \(-0.329148\pi\) | ||||
0.511345 | + | 0.859376i | \(0.329148\pi\) | |||||||
\(464\) | −5.78117e14 | + | 3.76113e14i | −1.24786 | + | 0.811838i | ||||
\(465\) | −2.02355e14 | −0.431641 | ||||||||
\(466\) | −1.91170e14 | + | 1.72201e14i | −0.402992 | + | 0.363006i | ||||
\(467\) | 2.01214e14 | − | 2.01214e14i | 0.419193 | − | 0.419193i | −0.465732 | − | 0.884926i | \(-0.654209\pi\) |
0.884926 | + | 0.465732i | \(0.154209\pi\) | |||||||
\(468\) | 4.04003e14 | − | 3.27431e14i | 0.831826 | − | 0.674168i | ||||
\(469\) | −2.72728e14 | − | 2.72728e14i | −0.554983 | − | 0.554983i | ||||
\(470\) | −2.30307e12 | + | 4.41193e13i | −0.00463200 | + | 0.0887341i | ||||
\(471\) | − | 1.41869e13i | − | 0.0282015i | ||||||
\(472\) | 4.62415e13 | + | 7.29459e12i | 0.0908554 | + | 0.0143324i | ||||
\(473\) | − | 1.70095e14i | − | 0.330335i | ||||||
\(474\) | −6.07254e13 | − | 3.16991e12i | −0.116571 | − | 0.00608508i | ||||
\(475\) | 1.55282e14 | + | 1.55282e14i | 0.294649 | + | 0.294649i | ||||
\(476\) | −1.31385e14 | − | 1.37543e13i | −0.246438 | − | 0.0257988i | ||||
\(477\) | 4.80524e14 | − | 4.80524e14i | 0.890972 | − | 0.890972i | ||||
\(478\) | −3.75493e14 | − | 4.16854e14i | −0.688253 | − | 0.764065i | ||||
\(479\) | −3.21690e13 | −0.0582897 | −0.0291449 | − | 0.999575i | \(-0.509278\pi\) | ||||
−0.0291449 | + | 0.999575i | \(0.509278\pi\) | |||||||
\(480\) | 6.72153e13 | + | 1.16143e14i | 0.120404 | + | 0.208050i | ||||
\(481\) | −7.02129e14 | −1.24342 | ||||||||
\(482\) | −6.53232e13 | − | 7.25186e13i | −0.114369 | − | 0.126967i | ||||
\(483\) | −8.60304e13 | + | 8.60304e13i | −0.148917 | + | 0.148917i | ||||
\(484\) | 4.87339e14 | + | 5.10180e13i | 0.834030 | + | 0.0873121i | ||||
\(485\) | 9.60602e14 | + | 9.60602e14i | 1.62541 | + | 1.62541i | ||||
\(486\) | 3.23578e14 | + | 1.68910e13i | 0.541351 | + | 0.0282590i | ||||
\(487\) | 1.04866e15i | 1.73470i | 0.497699 | + | 0.867350i | \(0.334179\pi\) | ||||
−0.497699 | + | 0.867350i | \(0.665821\pi\) | |||||||
\(488\) | 1.25783e14 | − | 7.97357e14i | 0.205737 | − | 1.30420i | ||||
\(489\) | − | 1.00793e14i | − | 0.163017i | ||||||
\(490\) | −1.86315e13 | + | 3.56919e14i | −0.0297967 | + | 0.570810i | ||||
\(491\) | −1.74910e14 | − | 1.74910e14i | −0.276609 | − | 0.276609i | 0.555145 | − | 0.831754i | \(-0.312663\pi\) |
−0.831754 | + | 0.555145i | \(0.812663\pi\) | |||||||
\(492\) | 1.66559e13 | − | 1.34990e13i | 0.0260471 | − | 0.0211103i | ||||
\(493\) | −2.27662e14 | + | 2.27662e14i | −0.352072 | + | 0.352072i | ||||
\(494\) | −3.71447e14 | + | 3.34591e14i | −0.568065 | + | 0.511701i | ||||
\(495\) | 3.24461e14 | 0.490720 | ||||||||
\(496\) | −1.17451e15 | − | 2.48636e14i | −1.75674 | − | 0.371891i | ||||
\(497\) | −4.98343e14 | −0.737171 | ||||||||
\(498\) | 3.96997e13 | − | 3.57606e13i | 0.0580799 | − | 0.0523170i | ||||
\(499\) | 7.23474e14 | − | 7.23474e14i | 1.04681 | − | 1.04681i | 0.0479657 | − | 0.998849i | \(-0.484726\pi\) |
0.998849 | − | 0.0479657i | \(-0.0152738\pi\) | |||||||
\(500\) | 2.19999e14 | + | 2.71447e14i | 0.314837 | + | 0.388464i | ||||
\(501\) | 1.42985e14 | + | 1.42985e14i | 0.202387 | + | 0.202387i | ||||
\(502\) | 9.29971e11 | − | 1.78152e13i | 0.00130196 | − | 0.0249414i | ||||
\(503\) | − | 3.28578e14i | − | 0.455004i | −0.973778 | − | 0.227502i | \(-0.926944\pi\) | ||
0.973778 | − | 0.227502i | \(-0.0730557\pi\) | |||||||
\(504\) | −4.21645e14 | + | 3.06742e14i | −0.577536 | + | 0.420151i | ||||
\(505\) | − | 2.29391e14i | − | 0.310795i | ||||||
\(506\) | 4.48555e14 | + | 2.34149e13i | 0.601157 | + | 0.0313809i | ||||
\(507\) | 2.36426e13 | + | 2.36426e13i | 0.0313438 | + | 0.0313438i | ||||
\(508\) | 7.23107e13 | − | 6.90733e14i | 0.0948314 | − | 0.905857i | ||||
\(509\) | −1.04845e14 | + | 1.04845e14i | −0.136019 | + | 0.136019i | −0.771838 | − | 0.635819i | \(-0.780662\pi\) |
0.635819 | + | 0.771838i | \(0.280662\pi\) | |||||||
\(510\) | 4.19257e13 | + | 4.65439e13i | 0.0538077 | + | 0.0597347i | ||||
\(511\) | 3.65922e14 | 0.464594 | ||||||||
\(512\) | 2.47424e14 | + | 7.56708e14i | 0.310783 | + | 0.950481i | ||||
\(513\) | −2.06400e14 | −0.256486 | ||||||||
\(514\) | 4.35969e14 | + | 4.83992e14i | 0.535992 | + | 0.595033i | ||||
\(515\) | 1.41562e15 | − | 1.41562e15i | 1.72189 | − | 1.72189i | ||||
\(516\) | 1.34957e13 | − | 1.28915e14i | 0.0162414 | − | 0.155143i | ||||
\(517\) | −1.67320e13 | − | 1.67320e13i | −0.0199227 | − | 0.0199227i | ||||
\(518\) | 7.03045e14 | + | 3.66996e13i | 0.828266 | + | 0.0432362i | ||||
\(519\) | − | 1.70828e14i | − | 0.199131i | ||||||
\(520\) | 9.86645e14 | − | 7.17774e14i | 1.13800 | − | 0.827883i | ||||
\(521\) | 5.46017e14i | 0.623158i | 0.950220 | + | 0.311579i | \(0.100858\pi\) | ||||
−0.950220 | + | 0.311579i | \(0.899142\pi\) | |||||||
\(522\) | −6.62465e13 | + | 1.26907e15i | −0.0748127 | + | 1.43317i | ||||
\(523\) | −3.73217e14 | − | 3.73217e14i | −0.417063 | − | 0.417063i | 0.467127 | − | 0.884190i | \(-0.345289\pi\) |
−0.884190 | + | 0.467127i | \(0.845289\pi\) | |||||||
\(524\) | −1.07117e15 | − | 1.32166e15i | −1.18450 | − | 1.46150i | ||||
\(525\) | −5.49817e13 | + | 5.49817e13i | −0.0601647 | + | 0.0601647i | ||||
\(526\) | −3.49286e14 | + | 3.14629e14i | −0.378233 | + | 0.340704i | ||||
\(527\) | −5.60432e14 | −0.600571 | ||||||||
\(528\) | −7.03146e13 | − | 1.48852e13i | −0.0745691 | − | 0.0157858i | ||||
\(529\) | −1.18627e15 | −1.24503 | ||||||||
\(530\) | 1.18466e15 | − | 1.06712e15i | 1.23049 | − | 1.10840i | ||||
\(531\) | 6.09921e13 | − | 6.09921e13i | 0.0626980 | − | 0.0626980i | ||||
\(532\) | 3.89420e14 | − | 3.15613e14i | 0.396191 | − | 0.321100i | ||||
\(533\) | −1.37839e14 | − | 1.37839e14i | −0.138794 | − | 0.138794i | ||||
\(534\) | 5.66427e12 | − | 1.08509e14i | 0.00564504 | − | 0.108141i | ||||
\(535\) | 1.07711e15i | 1.06246i | ||||||||
\(536\) | −1.69081e14 | + | 1.07183e15i | −0.165078 | + | 1.04645i | ||||
\(537\) | − | 7.52607e10i | − | 7.27294e-5i | ||||||
\(538\) | 1.91701e15 | + | 1.00070e14i | 1.83368 | + | 0.0957195i | ||||
\(539\) | −1.35359e14 | − | 1.35359e14i | −0.128159 | − | 0.128159i | ||||
\(540\) | 5.01000e14 | + | 5.24482e13i | 0.469539 | + | 0.0491546i | ||||
\(541\) | −4.09581e14 | + | 4.09581e14i | −0.379974 | + | 0.379974i | −0.871093 | − | 0.491118i | \(-0.836588\pi\) |
0.491118 | + | 0.871093i | \(0.336588\pi\) | |||||||
\(542\) | −7.41792e14 | − | 8.23501e14i | −0.681218 | − | 0.756255i | ||||
\(543\) | 9.93226e13 | 0.0902919 | ||||||||
\(544\) | 1.86156e14 | + | 3.21665e14i | 0.167526 | + | 0.289474i | ||||
\(545\) | −7.02497e14 | −0.625841 | ||||||||
\(546\) | −1.18471e14 | − | 1.31521e14i | −0.104485 | − | 0.115994i | ||||
\(547\) | −1.12176e15 | + | 1.12176e15i | −0.979419 | + | 0.979419i | −0.999792 | − | 0.0203735i | \(-0.993514\pi\) |
0.0203735 | + | 0.999792i | \(0.493514\pi\) | |||||||
\(548\) | −1.38453e15 | − | 1.44942e14i | −1.19677 | − | 0.125286i | ||||
\(549\) | −1.05171e15 | − | 1.05171e15i | −0.900008 | − | 0.900008i | ||||
\(550\) | 2.86670e14 | + | 1.49644e13i | 0.242877 | + | 0.0126784i | ||||
\(551\) | − | 1.22167e15i | − | 1.02475i | ||||||
\(552\) | 3.38103e14 | + | 5.33356e13i | 0.280791 | + | 0.0442948i | ||||
\(553\) | − | 5.54363e14i | − | 0.455834i | ||||||
\(554\) | −3.97362e13 | + | 7.61218e14i | −0.0323506 | + | 0.619734i | ||||
\(555\) | −2.36057e14 | − | 2.36057e14i | −0.190285 | − | 0.190285i | ||||
\(556\) | 1.68546e15 | − | 1.36601e15i | 1.34526 | − | 1.09029i | ||||
\(557\) | −4.15223e13 | + | 4.15223e13i | −0.0328154 | + | 0.0328154i | −0.723324 | − | 0.690509i | \(-0.757387\pi\) |
0.690509 | + | 0.723324i | \(0.257387\pi\) | |||||||
\(558\) | −1.64357e15 | + | 1.48049e15i | −1.28617 | + | 1.15856i | ||||
\(559\) | −1.17855e15 | −0.913234 | ||||||||
\(560\) | −1.02545e15 | + | 6.67140e14i | −0.786829 | + | 0.511897i | ||||
\(561\) | −3.35515e13 | −0.0254927 | ||||||||
\(562\) | −5.96855e14 | + | 5.37634e14i | −0.449075 | + | 0.404517i | ||||
\(563\) | −3.90578e13 | + | 3.90578e13i | −0.0291013 | + | 0.0291013i | −0.721508 | − | 0.692406i | \(-0.756551\pi\) |
0.692406 | + | 0.721508i | \(0.256551\pi\) | |||||||
\(564\) | −1.13536e13 | − | 1.40087e13i | −0.00837722 | − | 0.0103363i | ||||
\(565\) | 1.67390e15 | + | 1.67390e15i | 1.22311 | + | 1.22311i | ||||
\(566\) | 2.18959e13 | − | 4.19455e14i | 0.0158443 | − | 0.303526i | ||||
\(567\) | 9.23525e14i | 0.661823i | ||||||||
\(568\) | 8.24776e14 | + | 1.13373e15i | 0.585356 | + | 0.804625i | ||||
\(569\) | 1.33180e14i | 0.0936100i | 0.998904 | + | 0.0468050i | \(0.0149039\pi\) | ||||
−0.998904 | + | 0.0468050i | \(0.985096\pi\) | |||||||
\(570\) | −2.37371e14 | − | 1.23910e13i | −0.165240 | − | 0.00862567i | ||||
\(571\) | 1.12590e15 | + | 1.12590e15i | 0.776252 | + | 0.776252i | 0.979191 | − | 0.202939i | \(-0.0650493\pi\) |
−0.202939 | + | 0.979191i | \(0.565049\pi\) | |||||||
\(572\) | −6.80404e13 | + | 6.49942e14i | −0.0464610 | + | 0.443809i | ||||
\(573\) | −2.97676e14 | + | 2.97676e14i | −0.201323 | + | 0.201323i | ||||
\(574\) | 1.30814e14 | + | 1.45223e14i | 0.0876270 | + | 0.0972793i | ||||
\(575\) | −1.36708e15 | −0.907027 | ||||||||
\(576\) | 1.39568e15 | + | 4.51573e14i | 0.917193 | + | 0.296759i | ||||
\(577\) | 1.08744e15 | 0.707846 | 0.353923 | − | 0.935275i | \(-0.384848\pi\) | ||||
0.353923 | + | 0.935275i | \(0.384848\pi\) | |||||||
\(578\) | −9.21923e14 | − | 1.02347e15i | −0.594418 | − | 0.659894i | ||||
\(579\) | 2.49962e14 | − | 2.49962e14i | 0.159640 | − | 0.159640i | ||||
\(580\) | −3.10437e14 | + | 2.96539e15i | −0.196390 | + | 1.87598i | ||||
\(581\) | 3.44439e14 | + | 3.44439e14i | 0.215846 | + | 0.215846i | ||||
\(582\) | −5.53719e14 | − | 2.89046e13i | −0.343727 | − | 0.0179428i | ||||
\(583\) | 8.53973e14i | 0.525130i | ||||||||
\(584\) | −6.05614e14 | − | 8.32471e14i | −0.368914 | − | 0.507106i | ||||
\(585\) | − | 2.24811e15i | − | 1.35663i | ||||||
\(586\) | 4.29073e13 | − | 8.21966e14i | 0.0256504 | − | 0.491379i | ||||
\(587\) | −1.48568e15 | − | 1.48568e15i | −0.879865 | − | 0.879865i | 0.113655 | − | 0.993520i | \(-0.463744\pi\) |
−0.993520 | + | 0.113655i | \(0.963744\pi\) | |||||||
\(588\) | −9.18493e13 | − | 1.13329e14i | −0.0538890 | − | 0.0664913i | ||||
\(589\) | 1.50368e15 | − | 1.50368e15i | 0.874022 | − | 0.874022i | ||||
\(590\) | 1.50367e14 | − | 1.35447e14i | 0.0865898 | − | 0.0779981i | ||||
\(591\) | 1.75377e14 | 0.100055 | ||||||||
\(592\) | −1.08007e15 | − | 1.66017e15i | −0.610498 | − | 0.938387i | ||||
\(593\) | 8.96247e13 | 0.0501911 | 0.0250956 | − | 0.999685i | \(-0.492011\pi\) | ||||
0.0250956 | + | 0.999685i | \(0.492011\pi\) | |||||||
\(594\) | −2.00466e14 | + | 1.80575e14i | −0.111228 | + | 0.100192i | ||||
\(595\) | −4.03821e14 | + | 4.03821e14i | −0.221996 | + | 0.221996i | ||||
\(596\) | 1.65826e15 | − | 1.34397e15i | 0.903232 | − | 0.732041i | ||||
\(597\) | 5.13650e13 | + | 5.13650e13i | 0.0277209 | + | 0.0277209i | ||||
\(598\) | 1.62237e14 | − | 3.10793e15i | 0.0867546 | − | 1.66194i | ||||
\(599\) | − | 1.01799e15i | − | 0.539382i | −0.962947 | − | 0.269691i | \(-0.913078\pi\) | ||
0.962947 | − | 0.269691i | \(-0.0869215\pi\) | |||||||
\(600\) | 2.16080e14 | + | 3.40866e13i | 0.113444 | + | 0.0178958i | ||||
\(601\) | 1.26276e15i | 0.656918i | 0.944518 | + | 0.328459i | \(0.106529\pi\) | ||||
−0.944518 | + | 0.328459i | \(0.893471\pi\) | |||||||
\(602\) | 1.18009e15 | + | 6.16015e13i | 0.608321 | + | 0.0317549i | ||||
\(603\) | 1.41374e15 | + | 1.41374e15i | 0.722143 | + | 0.722143i | ||||
\(604\) | 1.10036e15 | + | 1.15193e14i | 0.556967 | + | 0.0583072i | ||||
\(605\) | 1.49787e15 | − | 1.49787e15i | 0.751310 | − | 0.751310i | ||||
\(606\) | 6.26627e13 | + | 6.95652e13i | 0.0311466 | + | 0.0345774i | ||||
\(607\) | 1.97399e15 | 0.972315 | 0.486158 | − | 0.873871i | \(-0.338398\pi\) | ||||
0.486158 | + | 0.873871i | \(0.338398\pi\) | |||||||
\(608\) | −1.36252e15 | − | 3.63580e14i | −0.665080 | − | 0.177472i | ||||
\(609\) | 4.32565e14 | 0.209245 | ||||||||
\(610\) | −2.33556e15 | − | 2.59283e15i | −1.11964 | − | 1.24297i | ||||
\(611\) | −1.15932e14 | + | 1.15932e14i | −0.0550778 | + | 0.0550778i | ||||
\(612\) | 6.81058e14 | + | 7.12978e13i | 0.320665 | + | 0.0335694i | ||||
\(613\) | 5.25981e13 | + | 5.25981e13i | 0.0245436 | + | 0.0245436i | 0.719272 | − | 0.694729i | \(-0.244475\pi\) |
−0.694729 | + | 0.719272i | \(0.744475\pi\) | |||||||
\(614\) | 1.59167e15 | + | 8.30866e13i | 0.736084 | + | 0.0384242i | ||||
\(615\) | − | 9.26830e13i | − | 0.0424802i | ||||||
\(616\) | 1.02101e14 | − | 6.47234e14i | 0.0463806 | − | 0.294013i | ||||
\(617\) | 1.26267e15i | 0.568490i | 0.958752 | + | 0.284245i | \(0.0917429\pi\) | ||||
−0.958752 | + | 0.284245i | \(0.908257\pi\) | |||||||
\(618\) | −4.25960e13 | + | 8.16002e14i | −0.0190078 | + | 0.364129i | ||||
\(619\) | −3.09325e14 | − | 3.09325e14i | −0.136810 | − | 0.136810i | 0.635386 | − | 0.772195i | \(-0.280841\pi\) |
−0.772195 | + | 0.635386i | \(0.780841\pi\) | |||||||
\(620\) | −4.03203e15 | + | 3.26783e15i | −1.76754 | + | 1.43254i | ||||
\(621\) | 9.08559e14 | − | 9.08559e14i | 0.394775 | − | 0.394775i | ||||
\(622\) | 1.37300e15 | − | 1.23677e15i | 0.591322 | − | 0.532650i | ||||
\(623\) | 9.90582e14 | 0.422870 | ||||||||
\(624\) | −1.03136e14 | + | 4.87193e14i | −0.0436410 | + | 0.206151i | ||||
\(625\) | 2.95377e15 | 1.23890 | ||||||||
\(626\) | −3.37558e14 | + | 3.04065e14i | −0.140343 | + | 0.126417i | ||||
\(627\) | 9.00213e13 | − | 9.00213e13i | 0.0371000 | − | 0.0371000i | ||||
\(628\) | −2.29104e14 | − | 2.82681e14i | −0.0935953 | − | 0.115483i | ||||
\(629\) | −6.53770e14 | − | 6.53770e14i | −0.264757 | − | 0.264757i | ||||
\(630\) | −1.17506e14 | + | 2.25105e15i | −0.0471725 | + | 0.903673i | ||||
\(631\) | 3.14311e15i | 1.25083i | 0.780293 | + | 0.625414i | \(0.215070\pi\) | ||||
−0.780293 | + | 0.625414i | \(0.784930\pi\) | |||||||
\(632\) | −1.26118e15 | + | 9.17491e14i | −0.497544 | + | 0.361958i | ||||
\(633\) | 8.99613e14i | 0.351832i | ||||||||
\(634\) | −4.29017e15 | − | 2.23950e14i | −1.66335 | − | 0.0868282i | ||||
\(635\) | −2.12301e15 | − | 2.12301e15i | −0.816013 | − | 0.816013i | ||||
\(636\) | −6.77562e13 | + | 6.47227e14i | −0.0258187 | + | 0.246628i | ||||
\(637\) | −9.37872e14 | + | 9.37872e14i | −0.354305 | + | 0.354305i | ||||
\(638\) | −1.06881e15 | − | 1.18654e15i | −0.400302 | − | 0.444395i | ||||
\(639\) | 2.58325e15 | 0.959206 | ||||||||
\(640\) | 3.21490e15 | + | 1.22876e15i | 1.18353 | + | 0.452352i | ||||
\(641\) | 4.51734e15 | 1.64878 | 0.824392 | − | 0.566019i | \(-0.191517\pi\) | ||||
0.824392 | + | 0.566019i | \(0.191517\pi\) | |||||||
\(642\) | −2.94234e14 | − | 3.26644e14i | −0.106476 | − | 0.118204i | ||||
\(643\) | −1.65387e15 | + | 1.65387e15i | −0.593392 | + | 0.593392i | −0.938546 | − | 0.345154i | \(-0.887827\pi\) |
0.345154 | + | 0.938546i | \(0.387827\pi\) | |||||||
\(644\) | −3.24897e14 | + | 3.10351e15i | −0.115577 | + | 1.10403i | ||||
\(645\) | −3.96229e14 | − | 3.96229e14i | −0.139755 | − | 0.139755i | ||||
\(646\) | −6.57410e14 | − | 3.43173e13i | −0.229910 | − | 0.0120015i | ||||
\(647\) | − | 3.33623e15i | − | 1.15687i | −0.815730 | − | 0.578433i | \(-0.803665\pi\) | ||
0.815730 | − | 0.578433i | \(-0.196335\pi\) | |||||||
\(648\) | 2.10102e15 | − | 1.52847e15i | 0.722382 | − | 0.525525i | ||||
\(649\) | 1.08393e14i | 0.0369536i | ||||||||
\(650\) | 1.03685e14 | − | 1.98627e15i | 0.0350503 | − | 0.671450i | ||||
\(651\) | 5.32420e14 | + | 5.32420e14i | 0.178467 | + | 0.178467i | ||||
\(652\) | −1.62771e15 | − | 2.00836e15i | −0.541022 | − | 0.667543i | ||||
\(653\) | −2.00196e15 | + | 2.00196e15i | −0.659832 | + | 0.659832i | −0.955340 | − | 0.295508i | \(-0.904511\pi\) |
0.295508 | + | 0.955340i | \(0.404511\pi\) | |||||||
\(654\) | 2.13039e14 | − | 1.91901e14i | 0.0696276 | − | 0.0627190i | ||||
\(655\) | −7.35452e15 | −2.38356 | ||||||||
\(656\) | 1.13881e14 | − | 5.37951e14i | 0.0365999 | − | 0.172891i | ||||
\(657\) | −1.89682e15 | −0.604528 | ||||||||
\(658\) | 1.22143e14 | − | 1.10024e14i | 0.0386034 | − | 0.0347731i | ||||
\(659\) | −4.02032e15 | + | 4.02032e15i | −1.26006 | + | 1.26006i | −0.308994 | + | 0.951064i | \(0.599992\pi\) |
−0.951064 | + | 0.308994i | \(0.900008\pi\) | |||||||
\(660\) | −2.41387e14 | + | 1.95636e14i | −0.0750277 | + | 0.0608075i | ||||
\(661\) | −2.33815e15 | − | 2.33815e15i | −0.720716 | − | 0.720716i | 0.248035 | − | 0.968751i | \(-0.420215\pi\) |
−0.968751 | + | 0.248035i | \(0.920215\pi\) | |||||||
\(662\) | −1.07409e14 | + | 2.05762e15i | −0.0328340 | + | 0.628994i | ||||
\(663\) | 2.32471e14i | 0.0704764i | ||||||||
\(664\) | 2.13539e14 | − | 1.35366e15i | 0.0642027 | − | 0.406991i | ||||
\(665\) | − | 2.16696e15i | − | 0.646149i | ||||||
\(666\) | −3.64436e15 | − | 1.90239e14i | −1.07774 | − | 0.0562588i | ||||
\(667\) | 5.37770e15 | + | 5.37770e15i | 1.57726 | + | 1.57726i | ||||
\(668\) | 5.15810e15 | + | 5.39986e14i | 1.50044 | + | 0.157077i | ||||
\(669\) | −3.38831e14 | + | 3.38831e14i | −0.0977552 | + | 0.0977552i | ||||
\(670\) | 3.13953e15 | + | 3.48536e15i | 0.898367 | + | 0.997324i | ||||
\(671\) | 1.86906e15 | 0.530456 | ||||||||
\(672\) | 1.28736e14 | − | 4.82438e14i | 0.0362383 | − | 0.135803i | ||||
\(673\) | −2.38810e15 | −0.666761 | −0.333380 | − | 0.942792i | \(-0.608189\pi\) | ||||
−0.333380 | + | 0.942792i | \(0.608189\pi\) | |||||||
\(674\) | 3.56507e15 | + | 3.95777e15i | 0.987277 | + | 1.09603i | ||||
\(675\) | 5.80656e14 | − | 5.80656e14i | 0.159495 | − | 0.159495i | ||||
\(676\) | 8.52897e14 | + | 8.92872e13i | 0.232375 | + | 0.0243266i | ||||
\(677\) | −2.44961e15 | − | 2.44961e15i | −0.662001 | − | 0.662001i | 0.293851 | − | 0.955851i | \(-0.405063\pi\) |
−0.955851 | + | 0.293851i | \(0.905063\pi\) | |||||||
\(678\) | −9.64887e14 | − | 5.03679e13i | −0.258650 | − | 0.0135018i | ||||
\(679\) | − | 5.05492e15i | − | 1.34410i | ||||||
\(680\) | 1.58703e15 | + | 2.50354e14i | 0.418587 | + | 0.0660320i | ||||
\(681\) | − | 1.07263e15i | − | 0.280634i | ||||||
\(682\) | 1.44909e14 | − | 2.77599e15i | 0.0376081 | − | 0.720450i | ||||
\(683\) | −1.97634e15 | − | 1.97634e15i | −0.508801 | − | 0.508801i | 0.405358 | − | 0.914158i | \(-0.367147\pi\) |
−0.914158 | + | 0.405358i | \(0.867147\pi\) | |||||||
\(684\) | −2.01863e15 | + | 1.63603e15i | −0.515523 | + | 0.417815i | ||||
\(685\) | −4.25545e15 | + | 4.25545e15i | −1.07807 | + | 1.07807i | ||||
\(686\) | 3.17846e15 | − | 2.86309e15i | 0.798793 | − | 0.719535i | ||||
\(687\) | −4.03375e14 | −0.100565 | ||||||||
\(688\) | −1.81294e15 | − | 2.78665e15i | −0.448381 | − | 0.689200i | ||||
\(689\) | 5.91698e15 | 1.45176 | ||||||||
\(690\) | 1.09943e15 | − | 9.90346e14i | 0.267608 | − | 0.241055i | ||||
\(691\) | 7.91531e14 | − | 7.91531e14i | 0.191134 | − | 0.191134i | −0.605052 | − | 0.796186i | \(-0.706848\pi\) |
0.796186 | + | 0.605052i | \(0.206848\pi\) | |||||||
\(692\) | −2.75871e15 | − | 3.40385e15i | −0.660879 | − | 0.815430i | ||||
\(693\) | −8.53695e14 | − | 8.53695e14i | −0.202894 | − | 0.202894i | ||||
\(694\) | −2.09034e14 | + | 4.00442e15i | −0.0492879 | + | 0.944198i | ||||
\(695\) | − | 9.37890e15i | − | 2.19399i | ||||||
\(696\) | −7.15910e14 | − | 9.84084e14i | −0.166153 | − | 0.228392i | ||||
\(697\) | − | 2.56690e14i | − | 0.0591056i | ||||||
\(698\) | 2.79280e15 | + | 1.45786e14i | 0.638020 | + | 0.0333052i | ||||
\(699\) | −3.21014e14 | − | 3.21014e14i | −0.0727611 | − | 0.0727611i | ||||
\(700\) | −2.07640e14 | + | 1.98344e15i | −0.0466952 | + | 0.446046i | ||||
\(701\) | −1.40321e15 | + | 1.40321e15i | −0.313092 | + | 0.313092i | −0.846106 | − | 0.533014i | \(-0.821059\pi\) |
0.533014 | + | 0.846106i | \(0.321059\pi\) | |||||||
\(702\) | 1.25116e15 | + | 1.38898e15i | 0.276987 | + | 0.307497i | ||||
\(703\) | 3.50823e15 | 0.770609 | ||||||||
\(704\) | −1.64144e15 | + | 8.38916e14i | −0.357746 | + | 0.182839i | ||||
\(705\) | −7.79529e13 | −0.0168575 | ||||||||
\(706\) | 3.20294e15 | + | 3.55575e15i | 0.687263 | + | 0.762966i | ||||
\(707\) | −6.03556e14 | + | 6.03556e14i | −0.128502 | + | 0.128502i | ||||
\(708\) | −8.60018e12 | + | 8.21514e13i | −0.00181687 | + | 0.0173553i | ||||
\(709\) | −2.29645e15 | − | 2.29645e15i | −0.481397 | − | 0.481397i | 0.424181 | − | 0.905578i | \(-0.360562\pi\) |
−0.905578 | + | 0.424181i | \(0.860562\pi\) | |||||||
\(710\) | 6.05267e15 | + | 3.15954e14i | 1.25900 | + | 0.0657209i | ||||
\(711\) | 2.87364e15i | 0.593130i | ||||||||
\(712\) | −1.63945e15 | − | 2.25357e15i | −0.335783 | − | 0.461564i | ||||
\(713\) | 1.32382e16i | 2.69053i | ||||||||
\(714\) | 1.21510e13 | − | 2.32774e14i | 0.00245060 | − | 0.0469455i | ||||
\(715\) | 1.99764e15 | + | 1.99764e15i | 0.399792 | + | 0.399792i | ||||
\(716\) | −1.21539e12 | − | 1.49961e12i | −0.000241375 | − | 0.000297822i | ||||
\(717\) | 6.99985e14 | − | 6.99985e14i | 0.137954 | − | 0.137954i | ||||
\(718\) | 8.72840e14 | − | 7.86234e14i | 0.170706 | − | 0.153769i | ||||
\(719\) | 6.67854e15 | 1.29620 | 0.648101 | − | 0.761555i | \(-0.275564\pi\) | ||||
0.648101 | + | 0.761555i | \(0.275564\pi\) | |||||||
\(720\) | 5.31560e15 | − | 3.45824e15i | 1.02382 | − | 0.666079i | ||||
\(721\) | −7.44931e15 | −1.42388 | ||||||||
\(722\) | −2.06099e15 | + | 1.85649e15i | −0.390949 | + | 0.352158i | ||||
\(723\) | 1.21774e14 | − | 1.21774e14i | 0.0229242 | − | 0.0229242i | ||||
\(724\) | 1.97905e15 | − | 1.60396e15i | 0.369739 | − | 0.299662i | ||||
\(725\) | 3.43686e15 | + | 3.43686e15i | 0.637241 | + | 0.637241i | ||||
\(726\) | −4.50710e13 | + | 8.63415e14i | −0.00829365 | + | 0.158880i | ||||
\(727\) | − | 5.13449e15i | − | 0.937687i | −0.883281 | − | 0.468844i | \(-0.844671\pi\) | ||
0.883281 | − | 0.468844i | \(-0.155329\pi\) | |||||||
\(728\) | −4.48453e15 | − | 7.07434e14i | −0.812820 | − | 0.128222i | ||||
\(729\) | − | 4.39428e15i | − | 0.790471i | ||||||
\(730\) | −4.44433e15 | − | 2.31998e14i | −0.793471 | − | 0.0414198i | ||||
\(731\) | −1.09738e15 | − | 1.09738e15i | −0.194451 | − | 0.194451i | ||||
\(732\) | 1.41656e15 | + | 1.48296e14i | 0.249129 | + | 0.0260806i | ||||
\(733\) | 2.05664e14 | − | 2.05664e14i | 0.0358993 | − | 0.0358993i | −0.688929 | − | 0.724829i | \(-0.741919\pi\) |
0.724829 | + | 0.688929i | \(0.241919\pi\) | |||||||
\(734\) | 3.41939e15 | + | 3.79605e15i | 0.592408 | + | 0.657663i | ||||
\(735\) | −6.30628e14 | −0.108441 | ||||||||
\(736\) | 7.59819e15 | − | 4.39728e15i | 1.29683 | − | 0.750509i | ||||
\(737\) | −2.51245e15 | −0.425624 | ||||||||
\(738\) | −6.78096e14 | − | 7.52790e14i | −0.114020 | − | 0.126580i | ||||
\(739\) | 3.42273e15 | − | 3.42273e15i | 0.571252 | − | 0.571252i | −0.361226 | − | 0.932478i | \(-0.617642\pi\) |
0.932478 | + | 0.361226i | \(0.117642\pi\) | |||||||
\(740\) | −8.51563e15 | − | 8.91475e14i | −1.41073 | − | 0.147685i | ||||
\(741\) | −6.23737e14 | − | 6.23737e14i | −0.102565 | − | 0.102565i | ||||
\(742\) | −5.92470e15 | − | 3.09274e14i | −0.967041 | − | 0.0504803i | ||||
\(743\) | 1.18217e16i | 1.91533i | 0.287891 | + | 0.957663i | \(0.407046\pi\) | ||||
−0.287891 | + | 0.957663i | \(0.592954\pi\) | |||||||
\(744\) | 3.30080e14 | − | 2.09243e15i | 0.0530846 | − | 0.336511i | ||||
\(745\) | − | 9.22756e15i | − | 1.47308i | ||||||
\(746\) | 1.42609e14 | − | 2.73193e15i | 0.0225987 | − | 0.432918i | ||||
\(747\) | −1.78546e15 | − | 1.78546e15i | −0.280858 | − | 0.280858i | ||||
\(748\) | −6.68532e14 | + | 5.41823e14i | −0.104391 | + | 0.0846056i | ||||
\(749\) | 2.83401e15 | − | 2.83401e15i | 0.439289 | − | 0.439289i | ||||
\(750\) | −4.58071e14 | + | 4.12620e14i | −0.0704849 | + | 0.0634912i | ||||
\(751\) | 1.82477e15 | 0.278734 | 0.139367 | − | 0.990241i | \(-0.455493\pi\) | ||||
0.139367 | + | 0.990241i | \(0.455493\pi\) | |||||||
\(752\) | −4.52454e14 | − | 9.57818e13i | −0.0686083 | − | 0.0145240i | ||||
\(753\) | 3.14771e13 | 0.00473830 | ||||||||
\(754\) | −8.22127e15 | + | 7.40554e15i | −1.22856 | + | 1.10666i | ||||
\(755\) | 3.38201e15 | − | 3.38201e15i | 0.501726 | − | 0.501726i | ||||
\(756\) | −1.18019e15 | − | 1.45619e15i | −0.173813 | − | 0.214461i | ||||
\(757\) | −3.85298e15 | − | 3.85298e15i | −0.563339 | − | 0.563339i | 0.366916 | − | 0.930254i | \(-0.380414\pi\) |
−0.930254 | + | 0.366916i | \(0.880414\pi\) | |||||||
\(758\) | 3.93708e14 | − | 7.54218e15i | 0.0571471 | − | 1.09475i | ||||
\(759\) | 7.92536e14i | 0.114206i | ||||||||
\(760\) | −4.92984e15 | + | 3.58640e15i | −0.705274 | + | 0.513079i | ||||
\(761\) | 1.29389e16i | 1.83774i | 0.394564 | + | 0.918868i | \(0.370896\pi\) | ||||
−0.394564 | + | 0.918868i | \(0.629104\pi\) | |||||||
\(762\) | 1.22377e15 | + | 6.38816e13i | 0.172562 | + | 0.00900790i | ||||
\(763\) | 1.84835e15 | + | 1.84835e15i | 0.258762 | + | 0.258762i | ||||
\(764\) | −1.12418e15 | + | 1.07385e16i | −0.156251 | + | 1.49256i | ||||
\(765\) | 2.09328e15 | − | 2.09328e15i | 0.288861 | − | 0.288861i | ||||
\(766\) | −2.37336e15 | − | 2.63479e15i | −0.325166 | − | 0.360984i | ||||
\(767\) | 7.51031e14 | 0.102161 | ||||||||
\(768\) | −1.31061e15 | + | 5.05580e14i | −0.177005 | + | 0.0682815i | ||||
\(769\) | 6.01579e15 | 0.806674 | 0.403337 | − | 0.915052i | \(-0.367850\pi\) | ||||
0.403337 | + | 0.915052i | \(0.367850\pi\) | |||||||
\(770\) | −1.89583e15 | − | 2.10466e15i | −0.252407 | − | 0.280210i | ||||
\(771\) | −8.12723e14 | + | 8.12723e14i | −0.107434 | + | 0.107434i | ||||
\(772\) | 9.43990e14 | − | 9.01727e15i | 0.123900 | − | 1.18353i | ||||
\(773\) | 7.15970e15 | + | 7.15970e15i | 0.933055 | + | 0.933055i | 0.997896 | − | 0.0648402i | \(-0.0206538\pi\) |
−0.0648402 | + | 0.997896i | \(0.520654\pi\) | |||||||
\(774\) | −6.11719e15 | − | 3.19322e14i | −0.791546 | − | 0.0413194i | ||||
\(775\) | 8.46049e15i | 1.08702i | ||||||||
\(776\) | −1.14999e16 | + | 8.36607e15i | −1.46709 | + | 1.06729i | ||||
\(777\) | 1.24219e15i | 0.157352i | ||||||||
\(778\) | −1.89011e14 | + | 3.62084e15i | −0.0237738 | + | 0.455430i | ||||
\(779\) | 6.88719e14 | + | 6.88719e14i | 0.0860174 | + | 0.0860174i | ||||
\(780\) | 1.35552e15 | + | 1.67251e15i | 0.168106 | + | 0.207419i | ||||
\(781\) | −2.29544e15 | + | 2.29544e15i | −0.282673 | + | 0.282673i | ||||
\(782\) | 3.04494e15 | − | 2.74281e15i | 0.372341 | − | 0.335397i | ||||
\(783\) | −4.56827e15 | −0.554705 | ||||||||
\(784\) | −3.66029e15 | − | 7.74861e14i | −0.441344 | − | 0.0934298i | ||||
\(785\) | −1.57300e15 | −0.188342 | ||||||||
\(786\) | 2.23033e15 | − | 2.00903e15i | 0.265182 | − | 0.238870i | ||||
\(787\) | −7.18804e14 | + | 7.18804e14i | −0.0848691 | + | 0.0848691i | −0.748267 | − | 0.663398i | \(-0.769114\pi\) |
0.663398 | + | 0.748267i | \(0.269114\pi\) | |||||||
\(788\) | 3.49447e15 | − | 2.83216e15i | 0.409720 | − | 0.332065i | ||||
\(789\) | −5.86524e14 | − | 5.86524e14i | −0.0682908 | − | 0.0682908i | ||||
\(790\) | −3.51472e14 | + | 6.73307e15i | −0.0406389 | + | 0.778510i | ||||
\(791\) | − | 8.80848e15i | − | 1.01142i | ||||||
\(792\) | −5.29259e14 | + | 3.35505e15i | −0.0603503 | + | 0.382570i | ||||
\(793\) | − | 1.29503e16i | − | 1.46648i | ||||||
\(794\) | 7.24475e15 | + | 3.78182e14i | 0.814724 | + | 0.0425293i | ||||
\(795\) | 1.98929e15 | + | 1.98929e15i | 0.222167 | + | 0.222167i | ||||
\(796\) | 1.85297e15 | + | 1.93981e14i | 0.205516 | + | 0.0215148i | ||||
\(797\) | −1.46538e15 | + | 1.46538e15i | −0.161409 | + | 0.161409i | −0.783191 | − | 0.621781i | \(-0.786409\pi\) |
0.621781 | + | 0.783191i | \(0.286409\pi\) | |||||||
\(798\) | 5.91949e14 | + | 6.57153e14i | 0.0647542 | + | 0.0718870i | ||||
\(799\) | −2.15894e14 | −0.0234549 | ||||||||
\(800\) | 4.85597e15 | − | 2.81028e15i | 0.523940 | − | 0.303218i | ||||
\(801\) | −5.13486e15 | −0.550237 | ||||||||
\(802\) | 6.41529e15 | + | 7.12194e15i | 0.682743 | + | 0.757948i | ||||
\(803\) | 1.68549e15 | − | 1.68549e15i | 0.178152 | − | 0.178152i | ||||
\(804\) | −1.90419e15 | − | 1.99344e14i | −0.199895 | − | 0.0209264i | ||||
\(805\) | 9.53883e15 | + | 9.53883e15i | 0.994530 | + | 0.994530i | ||||
\(806\) | −1.92342e16 | − | 1.00404e15i | −1.99173 | − | 0.103970i | ||||
\(807\) | 3.38711e15i | 0.348357i | ||||||||
\(808\) | 2.37200e15 | + | 3.74182e14i | 0.242299 | + | 0.0382226i | ||||
\(809\) | − | 9.80373e14i | − | 0.0994659i | −0.998763 | − | 0.0497330i | \(-0.984163\pi\) | ||
0.998763 | − | 0.0497330i | \(-0.0158370\pi\) | |||||||
\(810\) | 5.85524e14 | − | 1.12168e16i | 0.0590034 | − | 1.13032i | ||||
\(811\) | −2.61388e15 | − | 2.61388e15i | −0.261620 | − | 0.261620i | 0.564092 | − | 0.825712i | \(-0.309226\pi\) |
−0.825712 | + | 0.564092i | \(0.809226\pi\) | |||||||
\(812\) | 8.61908e15 | − | 6.98549e15i | 0.856846 | − | 0.694446i | ||||
\(813\) | 1.38283e15 | − | 1.38283e15i | 0.136543 | − | 0.136543i | ||||
\(814\) | 3.40737e15 | − | 3.06928e15i | 0.334183 | − | 0.301025i | ||||
\(815\) | −1.11757e16 | −1.08870 | ||||||||
\(816\) | −5.49671e14 | + | 3.57606e14i | −0.0531872 | + | 0.0346026i | ||||
\(817\) | 5.88869e15 | 0.565975 | ||||||||
\(818\) | 1.02896e16 | − | 9.26866e15i | 0.982327 | − | 0.884859i | ||||
\(819\) | −5.91505e15 | + | 5.91505e15i | −0.560915 | + | 0.560915i | ||||
\(820\) | −1.49674e15 | − | 1.84676e15i | −0.140984 | − | 0.173954i | ||||
\(821\) | 3.88644e15 | + | 3.88644e15i | 0.363634 | + | 0.363634i | 0.865149 | − | 0.501515i | \(-0.167224\pi\) |
−0.501515 | + | 0.865149i | \(0.667224\pi\) | |||||||
\(822\) | 1.28047e14 | − | 2.45296e15i | 0.0119007 | − | 0.227980i | ||||
\(823\) | − | 1.53461e15i | − | 0.141677i | −0.997488 | − | 0.0708386i | \(-0.977432\pi\) | ||
0.997488 | − | 0.0708386i | \(-0.0225675\pi\) | |||||||
\(824\) | 1.23289e16 | + | 1.69472e16i | 1.13064 | + | 1.55417i | ||||
\(825\) | 5.06506e14i | 0.0461411i | ||||||||
\(826\) | −7.52012e14 | − | 3.92556e13i | −0.0680510 | − | 0.00355232i | ||||
\(827\) | −7.82916e15 | − | 7.82916e15i | −0.703776 | − | 0.703776i | 0.261443 | − | 0.965219i | \(-0.415802\pi\) |
−0.965219 | + | 0.261443i | \(0.915802\pi\) | |||||||
\(828\) | 1.68416e15 | − | 1.60876e16i | 0.150389 | − | 1.43656i | ||||
\(829\) | 1.11549e16 | − | 1.11549e16i | 0.989502 | − | 0.989502i | −0.0104437 | − | 0.999945i | \(-0.503324\pi\) |
0.999945 | + | 0.0104437i | \(0.00332438\pi\) | |||||||
\(830\) | −3.96504e15 | − | 4.40180e15i | −0.349396 | − | 0.387883i | ||||
\(831\) | −1.34497e15 | −0.117735 | ||||||||
\(832\) | 5.81265e15 | + | 1.13731e16i | 0.505470 | + | 0.989012i | ||||
\(833\) | −1.74655e15 | −0.150881 | ||||||||
\(834\) | 2.56203e15 | + | 2.84424e15i | 0.219872 | + | 0.244092i | ||||
\(835\) | 1.58538e16 | − | 1.58538e16i | 1.35163 | − | 1.35163i | ||||
\(836\) | 3.39968e14 | − | 3.24748e15i | 0.0287941 | − | 0.275050i | ||||
\(837\) | −5.62283e15 | − | 5.62283e15i | −0.473113 | − | 0.473113i | ||||
\(838\) | 2.92277e15 | + | 1.52571e14i | 0.244316 | + | 0.0127535i | ||||
\(839\) | 9.71424e15i | 0.806711i | 0.915043 | + | 0.403356i | \(0.132156\pi\) | ||||
−0.915043 | + | 0.403356i | \(0.867844\pi\) | |||||||
\(840\) | −1.26986e15 | − | 1.74554e15i | −0.104766 | − | 0.144011i | ||||
\(841\) | − | 1.48388e16i | − | 1.21624i | ||||||
\(842\) | 7.08359e14 | − | 1.35699e16i | 0.0576816 | − | 1.10499i | ||||
\(843\) | −1.00224e15 | − | 1.00224e15i | −0.0810815 | − | 0.0810815i | ||||
\(844\) | 1.45279e16 | + | 1.79253e16i | 1.16766 | + | 1.44073i | ||||
\(845\) | 2.62143e15 | − | 2.62143e15i | 0.209328 | − | 0.209328i | ||||
\(846\) | −6.33149e14 | + | 5.70327e14i | −0.0502307 | + | 0.0452467i | ||||
\(847\) | −7.88214e15 | −0.621277 | ||||||||
\(848\) | 9.10199e15 | + | 1.39905e16i | 0.712786 | + | 1.09561i | ||||
\(849\) | 7.41121e14 | 0.0576630 | ||||||||
\(850\) | 1.94601e15 | − | 1.75292e15i | 0.150432 | − | 0.135506i | ||||
\(851\) | −1.54430e16 | + | 1.54430e16i | −1.18610 | + | 1.18610i | ||||
\(852\) | −1.92184e15 | + | 1.55759e15i | −0.146656 | + | 0.118860i | ||||
\(853\) | 3.75088e15 | + | 3.75088e15i | 0.284389 | + | 0.284389i | 0.834857 | − | 0.550467i | \(-0.185550\pi\) |
−0.550467 | + | 0.834857i | \(0.685550\pi\) | |||||||
\(854\) | −6.76898e14 | + | 1.29672e16i | −0.0509923 | + | 0.976849i | ||||
\(855\) | 1.12328e16i | 0.840768i | ||||||||
\(856\) | −1.11377e16 | − | 1.75698e15i | −0.828307 | − | 0.130665i | ||||
\(857\) | − | 1.75963e16i | − | 1.30025i | −0.759827 | − | 0.650125i | \(-0.774716\pi\) | ||
0.759827 | − | 0.650125i | \(-0.225284\pi\) | |||||||
\(858\) | −1.15150e15 | − | 6.01091e13i | −0.0845440 | − | 0.00441327i | ||||
\(859\) | −5.44329e15 | − | 5.44329e15i | −0.397100 | − | 0.397100i | 0.480109 | − | 0.877209i | \(-0.340597\pi\) |
−0.877209 | + | 0.480109i | \(0.840597\pi\) | |||||||
\(860\) | −1.42938e16 | − | 1.49637e15i | −1.03611 | − | 0.108467i | ||||
\(861\) | −2.43860e14 | + | 2.43860e14i | −0.0175640 | + | 0.0175640i | ||||
\(862\) | −1.41054e16 | − | 1.56591e16i | −1.00947 | − | 1.12067i | ||||
\(863\) | −1.34935e16 | −0.959545 | −0.479773 | − | 0.877393i | \(-0.659281\pi\) | ||||
−0.479773 | + | 0.877393i | \(0.659281\pi\) | |||||||
\(864\) | −1.35956e15 | + | 5.09498e15i | −0.0960669 | + | 0.360012i | ||||
\(865\) | −1.89410e16 | −1.32989 | ||||||||
\(866\) | 1.06647e16 | + | 1.18395e16i | 0.744049 | + | 0.826007i | ||||
\(867\) | 1.71863e15 | − | 1.71863e15i | 0.119145 | − | 0.119145i | ||||
\(868\) | 1.92068e16 | + | 2.01070e15i | 1.32311 | + | 0.138513i | ||||
\(869\) | −2.55347e15 | − | 2.55347e15i | −0.174792 | − | 0.174792i | ||||
\(870\) | −5.25375e15 | − | 2.74250e14i | −0.357367 | − | 0.0186548i | ||||
\(871\) | 1.74082e16i | 1.17667i | ||||||||
\(872\) | 1.14591e15 | − | 7.26409e15i | 0.0769679 | − | 0.487911i | ||||
\(873\) | 2.62031e16i | 1.74893i | ||||||||
\(874\) | −8.10626e14 | + | 1.55290e16i | −0.0537660 | + | 1.02998i | ||||
\(875\) | −3.97428e15 | − | 3.97428e15i | −0.261948 | − | 0.261948i | ||||
\(876\) | 1.41116e15 | − | 1.14370e15i | 0.0924282 | − | 0.0749100i | ||||
\(877\) | 6.53286e14 | − | 6.53286e14i | 0.0425212 | − | 0.0425212i | −0.685526 | − | 0.728048i | \(-0.740428\pi\) |
0.728048 | + | 0.685526i | \(0.240428\pi\) | |||||||
\(878\) | 1.12624e16 | − | 1.01450e16i | 0.728472 | − | 0.656192i | ||||
\(879\) | 1.45230e15 | 0.0933508 | ||||||||
\(880\) | −1.65043e15 | + | 7.79630e15i | −0.105425 | + | 0.498005i | ||||
\(881\) | −1.19301e16 | −0.757313 | −0.378657 | − | 0.925537i | \(-0.623614\pi\) | ||||
−0.378657 | + | 0.925537i | \(0.623614\pi\) | |||||||
\(882\) | −5.12209e15 | + | 4.61386e15i | −0.323124 | + | 0.291063i | ||||
\(883\) | −9.60474e15 | + | 9.60474e15i | −0.602146 | + | 0.602146i | −0.940882 | − | 0.338736i | \(-0.890001\pi\) |
0.338736 | + | 0.940882i | \(0.390001\pi\) | |||||||
\(884\) | 3.75417e15 | + | 4.63210e15i | 0.233898 | + | 0.288596i | ||||
\(885\) | 2.52498e14 | + | 2.52498e14i | 0.0156340 | + | 0.0156340i | ||||
\(886\) | 9.77346e14 | − | 1.87228e16i | 0.0601399 | − | 1.15209i | ||||
\(887\) | 9.67854e15i | 0.591875i | 0.955207 | + | 0.295937i | \(0.0956320\pi\) | ||||
−0.955207 | + | 0.295937i | \(0.904368\pi\) | |||||||
\(888\) | 2.82597e15 | − | 2.05586e15i | 0.171750 | − | 0.124946i | ||||
\(889\) | 1.11718e16i | 0.674782i | ||||||||
\(890\) | −1.20312e16 | − | 6.28039e14i | −0.722211 | − | 0.0377000i | ||||
\(891\) | 4.25388e15 | + | 4.25388e15i | 0.253780 | + | 0.253780i | ||||
\(892\) | −1.27961e15 | + | 1.22232e16i | −0.0758700 | + | 0.724732i | ||||
\(893\) | 5.79261e14 | − | 5.79261e14i | 0.0341343 | − | 0.0341343i | ||||
\(894\) | 2.52069e15 | + | 2.79835e15i | 0.147626 | + | 0.163887i | ||||
\(895\) | −8.34471e12 | −0.000485719 | ||||||||
\(896\) | −5.22577e15 | − | 1.16918e16i | −0.302313 | − | 0.676374i | ||||
\(897\) | 5.49129e15 | 0.315730 | ||||||||
\(898\) | 2.96680e15 | + | 3.29359e15i | 0.169538 | + | 0.188213i | ||||
\(899\) | 3.32812e16 | − | 3.32812e16i | 1.89026 | − | 1.89026i | ||||
\(900\) | 1.07634e15 | − | 1.02815e16i | 0.0607597 | − | 0.580394i | ||||
\(901\) | 5.50945e15 | + | 5.50945e15i | 0.309116 | + | 0.309116i | ||||
\(902\) | 1.27146e15 | + | 6.63715e13i | 0.0709036 | + | 0.00370122i | ||||
\(903\) | 2.08505e15i | 0.115567i | ||||||||
\(904\) | −2.00393e16 | + | 1.45783e16i | −1.10397 | + | 0.803123i | ||||
\(905\) | − | 1.10126e16i | − | 0.603009i | ||||||
\(906\) | −1.01765e14 | + | 1.94949e15i | −0.00553852 | + | 0.106100i | ||||
\(907\) | −1.20741e16 | − | 1.20741e16i | −0.653153 | − | 0.653153i | 0.300598 | − | 0.953751i | \(-0.402814\pi\) |
−0.953751 | + | 0.300598i | \(0.902814\pi\) | |||||||
\(908\) | −1.73219e16 | − | 2.13727e16i | −0.931370 | − | 1.14918i | ||||
\(909\) | 3.12864e15 | − | 3.12864e15i | 0.167207 | − | 0.167207i | ||||
\(910\) | −1.45827e16 | + | 1.31358e16i | −0.774658 | + | 0.697795i | ||||
\(911\) | 5.70446e15 | 0.301206 | 0.150603 | − | 0.988594i | \(-0.451879\pi\) | ||||
0.150603 | + | 0.988594i | \(0.451879\pi\) | |||||||
\(912\) | 5.15325e14 | − | 2.43429e15i | 0.0270464 | − | 0.127762i | ||||
\(913\) | 3.17307e15 | 0.165535 | ||||||||
\(914\) | −6.72974e15 | + | 6.06200e15i | −0.348975 | + | 0.314349i | ||||
\(915\) | 4.35390e15 | − | 4.35390e15i | 0.224420 | − | 0.224420i | ||||
\(916\) | −8.03746e15 | + | 6.51410e15i | −0.411807 | + | 0.333756i | ||||
\(917\) | 1.93506e16 | + | 1.93506e16i | 0.985515 | + | 0.985515i | ||||
\(918\) | −1.28325e14 | + | 2.45830e15i | −0.00649648 | + | 0.124452i | ||||
\(919\) | − | 3.83830e16i | − | 1.93154i | −0.259400 | − | 0.965770i | \(-0.583525\pi\) | ||
0.259400 | − | 0.965770i | \(-0.416475\pi\) | |||||||
\(920\) | 5.91372e15 | − | 3.74879e16i | 0.295820 | − | 1.87525i | ||||
\(921\) | 2.81227e15i | 0.139839i | ||||||||
\(922\) | 6.74084e15 | + | 3.51878e14i | 0.333192 | + | 0.0173929i | ||||
\(923\) | 1.59045e16 | + | 1.59045e16i | 0.781469 | + | 0.781469i | ||||
\(924\) | 1.14986e15 | + | 1.20375e14i | 0.0561628 | + | 0.00587951i | ||||
\(925\) | −9.86956e15 | + | 9.86956e15i | −0.479202 | + | 0.479202i | ||||
\(926\) | 1.41813e16 | + | 1.57433e16i | 0.684470 | + | 0.759865i | ||||
\(927\) | 3.86148e16 | 1.85274 | ||||||||
\(928\) | −3.01569e16 | − | 8.04717e15i | −1.43838 | − | 0.383821i | ||||
\(929\) | −1.43607e16 | −0.680907 | −0.340454 | − | 0.940261i | \(-0.610581\pi\) | ||||
−0.340454 | + | 0.940261i | \(0.610581\pi\) | |||||||
\(930\) | −6.12900e15 | − | 6.80412e15i | −0.288890 | − | 0.320712i | ||||
\(931\) | 4.68614e15 | − | 4.68614e15i | 0.219580 | − | 0.219580i | ||||
\(932\) | −1.15804e16 | − | 1.21232e15i | −0.539432 | − | 0.0564715i | ||||
\(933\) | 2.30556e15 | + | 2.30556e15i | 0.106765 | + | 0.106765i | ||||
\(934\) | 1.28602e16 | + | 6.71311e14i | 0.592023 | + | 0.0309041i | ||||
\(935\) | 3.72011e15i | 0.170252i | ||||||||
\(936\) | 2.32464e16 | + | 3.66711e15i | 1.05764 | + | 0.166842i | ||||
\(937\) | − | 1.63980e16i | − | 0.741689i | −0.928695 | − | 0.370845i | \(-0.879068\pi\) | ||
0.928695 | − | 0.370845i | \(-0.120932\pi\) | |||||||
\(938\) | 9.09907e14 | − | 1.74309e16i | 0.0409149 | − | 0.783797i | ||||
\(939\) | −5.66830e14 | − | 5.66830e14i | −0.0253392 | − | 0.0253392i | ||||
\(940\) | −1.55325e15 | + | 1.25886e15i | −0.0690302 | + | 0.0559467i | ||||
\(941\) | 9.98449e15 | − | 9.98449e15i | 0.441147 | − | 0.441147i | −0.451251 | − | 0.892397i | \(-0.649022\pi\) |
0.892397 | + | 0.451251i | \(0.149022\pi\) | |||||||
\(942\) | 4.77028e14 | − | 4.29697e14i | 0.0209539 | − | 0.0188748i | ||||
\(943\) | −6.06339e15 | −0.264790 | ||||||||
\(944\) | 1.15530e15 | + | 1.77579e15i | 0.0501590 | + | 0.0770986i | ||||
\(945\) | −8.10309e15 | −0.349764 | ||||||||
\(946\) | 5.71938e15 | − | 5.15189e15i | 0.245441 | − | 0.221088i | ||||
\(947\) | −1.46577e16 | + | 1.46577e16i | −0.625376 | + | 0.625376i | −0.946901 | − | 0.321525i | \(-0.895805\pi\) |
0.321525 | + | 0.946901i | \(0.395805\pi\) | |||||||
\(948\) | −1.73268e15 | − | 2.13788e15i | −0.0734976 | − | 0.0906854i | ||||
\(949\) | −1.16783e16 | − | 1.16783e16i | −0.492512 | − | 0.492512i | ||||
\(950\) | −5.18068e14 | + | 9.92451e15i | −0.0217223 | + | 0.416130i | ||||
\(951\) | − | 7.58015e15i | − | 0.315998i | ||||||
\(952\) | −3.51695e15 | − | 4.83437e15i | −0.145768 | − | 0.200372i | ||||
\(953\) | 4.21764e16i | 1.73803i | 0.494783 | + | 0.869017i | \(0.335248\pi\) | ||||
−0.494783 | + | 0.869017i | \(0.664752\pi\) | |||||||
\(954\) | 3.07117e16 | + | 1.60318e15i | 1.25831 | + | 0.0656849i | ||||
\(955\) | 3.30055e16 | + | 3.30055e16i | 1.34452 | + | 1.34452i | ||||
\(956\) | 2.64351e15 | − | 2.52516e16i | 0.107069 | − | 1.02275i | ||||
\(957\) | 1.99245e15 | − | 1.99245e15i | 0.0802366 | − | 0.0802366i | ||||
\(958\) | −9.74344e14 | − | 1.08167e15i | −0.0390124 | − | 0.0433096i | ||||
\(959\) | 2.23932e16 | 0.891483 | ||||||||
\(960\) | −1.86944e15 | + | 5.77788e15i | −0.0739980 | + | 0.228706i | ||||
\(961\) | 5.65195e16 | 2.22443 | ||||||||
\(962\) | −2.12663e16 | − | 2.36088e16i | −0.832203 | − | 0.923872i | ||||
\(963\) | −1.46906e16 | + | 1.46906e16i | −0.571603 | + | 0.571603i | ||||
\(964\) | 4.59883e14 | − | 4.39294e15i | 0.0177920 | − | 0.169954i | ||||
\(965\) | −2.77152e16 | − | 2.77152e16i | −1.06615 | − | 1.06615i | ||||
\(966\) | −5.49846e15 | − | 2.87024e14i | −0.210313 | − | 0.0109785i | ||||
\(967\) | − | 1.35622e16i | − | 0.515803i | −0.966171 | − | 0.257902i | \(-0.916969\pi\) | ||
0.966171 | − | 0.257902i | \(-0.0830310\pi\) | |||||||
\(968\) | 1.30452e16 | + | 1.79319e16i | 0.493330 | + | 0.678127i | ||||
\(969\) | − | 1.16155e15i | − | 0.0436776i | ||||||
\(970\) | −3.20487e15 | + | 6.13949e16i | −0.119830 | + | 2.29556i | ||||
\(971\) | −5.96160e15 | − | 5.96160e15i | −0.221645 | − | 0.221645i | 0.587546 | − | 0.809191i | \(-0.300094\pi\) |
−0.809191 | + | 0.587546i | \(0.800094\pi\) | |||||||
\(972\) | 9.23267e15 | + | 1.13918e16i | 0.341321 | + | 0.421141i | ||||
\(973\) | −2.46770e16 | + | 2.46770e16i | −0.907135 | + | 0.907135i | ||||
\(974\) | −3.52607e16 | + | 3.17621e16i | −1.28889 | + | 1.16101i | ||||
\(975\) | 3.50946e15 | 0.127560 | ||||||||
\(976\) | 3.06206e16 | − | 1.99212e16i | 1.10673 | − | 0.720015i | ||||
\(977\) | −1.03993e16 | −0.373753 | −0.186877 | − | 0.982383i | \(-0.559836\pi\) | ||||
−0.186877 | + | 0.982383i | \(0.559836\pi\) | |||||||
\(978\) | 3.38914e15 | − | 3.05286e15i | 0.121123 | − | 0.109105i | ||||
\(979\) | 4.56276e15 | − | 4.56276e15i | 0.162152 | − | 0.162152i | ||||
\(980\) | −1.25656e16 | + | 1.01840e16i | −0.444058 | + | 0.359895i | ||||
\(981\) | −9.58127e15 | − | 9.58127e15i | −0.336700 | − | 0.336700i | ||||
\(982\) | 5.83553e14 | − | 1.11790e16i | 0.0203924 | − | 0.390652i | ||||
\(983\) | − | 1.51148e16i | − | 0.525240i | −0.964899 | − | 0.262620i | \(-0.915414\pi\) | ||
0.964899 | − | 0.262620i | \(-0.0845865\pi\) | |||||||
\(984\) | 9.58378e14 | + | 1.51184e14i | 0.0331180 | + | 0.00522436i | ||||
\(985\) | − | 1.94453e16i | − | 0.668214i | ||||||
\(986\) | −1.45505e16 | − | 7.59550e14i | −0.497228 | − | 0.0259557i | ||||
\(987\) | 2.05103e14 | + | 2.05103e14i | 0.00696993 | + | 0.00696993i | ||||
\(988\) | −2.25010e16 | − | 2.35556e15i | −0.760394 | − | 0.0796033i | ||||
\(989\) | −2.59216e16 | + | 2.59216e16i | −0.871130 | + | 0.871130i | ||||
\(990\) | 9.82738e15 | + | 1.09099e16i | 0.328431 | + | 0.364608i | ||||
\(991\) | −4.92652e15 | −0.163733 | −0.0818663 | − | 0.996643i | \(-0.526088\pi\) | ||||
−0.0818663 | + | 0.996643i | \(0.526088\pi\) | |||||||
\(992\) | −2.72136e16 | − | 4.70232e16i | −0.899440 | − | 1.55417i | ||||
\(993\) | −3.63554e15 | −0.119494 | ||||||||
\(994\) | −1.50940e16 | − | 1.67566e16i | −0.493377 | − | 0.547723i | ||||
\(995\) | 5.69521e15 | − | 5.69521e15i | 0.185133 | − | 0.185133i | ||||
\(996\) | 2.40487e15 | + | 2.51759e14i | 0.0777438 | + | 0.00813876i | ||||
\(997\) | −3.32641e15 | − | 3.32641e15i | −0.106943 | − | 0.106943i | 0.651611 | − | 0.758554i | \(-0.274094\pi\) |
−0.758554 | + | 0.651611i | \(0.774094\pi\) | |||||||
\(998\) | 4.62394e16 | + | 2.41373e15i | 1.47841 | + | 0.0771741i | ||||
\(999\) | − | 1.31186e16i | − | 0.417136i |
(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.5.16 | ✓ | 42 | |
4.3 | odd | 2 | 64.12.e.a.49.12 | 42 | |||
8.3 | odd | 2 | 128.12.e.a.97.10 | 42 | |||
8.5 | even | 2 | 128.12.e.b.97.12 | 42 | |||
16.3 | odd | 4 | 64.12.e.a.17.12 | 42 | |||
16.5 | even | 4 | 128.12.e.b.33.12 | 42 | |||
16.11 | odd | 4 | 128.12.e.a.33.10 | 42 | |||
16.13 | even | 4 | inner | 16.12.e.a.13.16 | yes | 42 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
16.12.e.a.5.16 | ✓ | 42 | 1.1 | even | 1 | trivial | |
16.12.e.a.13.16 | yes | 42 | 16.13 | even | 4 | inner | |
64.12.e.a.17.12 | 42 | 16.3 | odd | 4 | |||
64.12.e.a.49.12 | 42 | 4.3 | odd | 2 | |||
128.12.e.a.33.10 | 42 | 16.11 | odd | 4 | |||
128.12.e.a.97.10 | 42 | 8.3 | odd | 2 | |||
128.12.e.b.33.12 | 42 | 16.5 | even | 4 | |||
128.12.e.b.97.12 | 42 | 8.5 | even | 2 |