Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [23,11,Mod(5,23)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(23, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 11, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("23.5");
S:= CuspForms(chi, 11);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 23 \) |
Weight: | \( k \) | \(=\) | \( 11 \) |
Character orbit: | \([\chi]\) | \(=\) | 23.d (of order \(22\), degree \(10\), 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: | \(14.6132168115\) |
Analytic rank: | \(0\) |
Dimension: | \(190\) |
Relative dimension: | \(19\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 5.2 | ||
Character | \(\chi\) | \(=\) | 23.5 |
Dual form | 23.11.d.a.14.2 |
$q$-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 \(\left(\mathbb{Z}/23\mathbb{Z}\right)^\times\).
\(n\) | \(5\) |
\(\chi(n)\) | \(e\left(\frac{1}{22}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −55.1016 | − | 16.1793i | −1.72193 | − | 0.505603i | −0.736606 | − | 0.676323i | \(-0.763573\pi\) |
−0.985320 | + | 0.170720i | \(0.945391\pi\) | |||||||
\(3\) | −267.468 | + | 308.675i | −1.10069 | + | 1.27027i | −0.140757 | + | 0.990044i | \(0.544954\pi\) |
−0.959935 | + | 0.280222i | \(0.909592\pi\) | |||||||
\(4\) | 1912.97 | + | 1229.39i | 1.86814 | + | 1.20058i | ||||
\(5\) | −1056.35 | − | 151.880i | −0.338032 | − | 0.0486017i | −0.0287914 | − | 0.999585i | \(-0.509166\pi\) |
−0.309241 | + | 0.950984i | \(0.600075\pi\) | |||||||
\(6\) | 19732.1 | − | 12681.0i | 2.53756 | − | 1.63079i | ||||
\(7\) | −3001.68 | + | 1370.82i | −0.178597 | + | 0.0815625i | −0.502707 | − | 0.864457i | \(-0.667663\pi\) |
0.324110 | + | 0.946019i | \(0.394935\pi\) | |||||||
\(8\) | −47007.4 | − | 54249.4i | −1.43455 | − | 1.65556i | ||||
\(9\) | −15337.3 | − | 106673.i | −0.259739 | − | 1.80652i | ||||
\(10\) | 55749.3 | + | 25459.9i | 0.557493 | + | 0.254599i | ||||
\(11\) | 5688.57 | + | 19373.5i | 0.0353215 | + | 0.120294i | 0.975267 | − | 0.221031i | \(-0.0709423\pi\) |
−0.939945 | + | 0.341326i | \(0.889124\pi\) | |||||||
\(12\) | −891142. | + | 261663.i | −3.58130 | + | 1.05157i | ||||
\(13\) | 259550. | − | 568335.i | 0.699043 | − | 1.53069i | −0.142084 | − | 0.989855i | \(-0.545380\pi\) |
0.841128 | − | 0.540837i | \(-0.181892\pi\) | |||||||
\(14\) | 187576. | − | 26969.4i | 0.348769 | − | 0.0501454i | ||||
\(15\) | 329422. | − | 285446.i | 0.433807 | − | 0.375896i | ||||
\(16\) | 745159. | + | 1.63167e6i | 0.710639 | + | 1.55608i | ||||
\(17\) | 1.38726e6 | + | 2.15862e6i | 0.977044 | + | 1.52031i | 0.848900 | + | 0.528554i | \(0.177266\pi\) |
0.128144 | + | 0.991756i | \(0.459098\pi\) | |||||||
\(18\) | −880789. | + | 6.12602e6i | −0.466133 | + | 3.24202i | ||||
\(19\) | 1.96021e6 | − | 3.05015e6i | 0.791654 | − | 1.23184i | −0.177192 | − | 0.984176i | \(-0.556701\pi\) |
0.968847 | − | 0.247662i | \(-0.0796622\pi\) | |||||||
\(20\) | −1.83405e6 | − | 1.58921e6i | −0.573141 | − | 0.496629i | ||||
\(21\) | 379716. | − | 1.29319e6i | 0.0929742 | − | 0.316641i | ||||
\(22\) | − | 1.15955e6i | − | 0.224996i | ||||||
\(23\) | −2.67832e6 | + | 5.85262e6i | −0.416125 | + | 0.909308i | ||||
\(24\) | 2.93184e7 | 3.68200 | ||||||||
\(25\) | −8.27724e6 | − | 2.43042e6i | −0.847589 | − | 0.248875i | ||||
\(26\) | −2.34969e7 | + | 2.71168e7i | −1.97762 | + | 2.28230i | ||||
\(27\) | 1.67405e7 | + | 1.07585e7i | 1.16668 | + | 0.749778i | ||||
\(28\) | −7.42741e6 | − | 1.06790e6i | −0.431566 | − | 0.0620499i | ||||
\(29\) | −4.21321e6 | + | 2.70766e6i | −0.205411 | + | 0.132009i | −0.639302 | − | 0.768956i | \(-0.720777\pi\) |
0.433891 | + | 0.900965i | \(0.357140\pi\) | |||||||
\(30\) | −2.27700e7 | + | 1.03987e7i | −0.937037 | + | 0.427930i | ||||
\(31\) | 3.77167e6 | + | 4.35274e6i | 0.131742 | + | 0.152039i | 0.817788 | − | 0.575520i | \(-0.195200\pi\) |
−0.686045 | + | 0.727559i | \(0.740655\pi\) | |||||||
\(32\) | −4.19932e6 | − | 2.92069e7i | −0.125150 | − | 0.870434i | ||||
\(33\) | −7.50162e6 | − | 3.42588e6i | −0.191684 | − | 0.0875391i | ||||
\(34\) | −4.15154e7 | − | 1.41388e8i | −0.913723 | − | 3.11186i | ||||
\(35\) | 3.37903e6 | − | 992172.i | 0.0643356 | − | 0.0188906i | ||||
\(36\) | 1.01804e8 | − | 2.22919e8i | 1.68365 | − | 3.68667i | ||||
\(37\) | −1.22651e7 | + | 1.76345e6i | −0.176873 | + | 0.0254305i | −0.230182 | − | 0.973148i | \(-0.573932\pi\) |
0.0533091 | + | 0.998578i | \(0.483023\pi\) | |||||||
\(38\) | −1.57360e8 | + | 1.36353e8i | −1.98599 | + | 1.72087i | ||||
\(39\) | 1.06009e8 | + | 2.32128e8i | 1.17495 | + | 2.57279i | ||||
\(40\) | 4.14169e7 | + | 6.44459e7i | 0.404462 | + | 0.629355i | ||||
\(41\) | 2.81306e7 | − | 1.95653e8i | 0.242806 | − | 1.68875i | −0.395098 | − | 0.918639i | \(-0.629290\pi\) |
0.637905 | − | 0.770115i | \(-0.279801\pi\) | |||||||
\(42\) | −4.18459e7 | + | 6.51135e7i | −0.320189 | + | 0.498224i | ||||
\(43\) | 1.59175e8 | + | 1.37926e8i | 1.08276 | + | 0.938219i | 0.998304 | − | 0.0582077i | \(-0.0185386\pi\) |
0.0844583 | + | 0.996427i | \(0.473084\pi\) | |||||||
\(44\) | −1.29356e7 | + | 4.40545e7i | −0.0784372 | + | 0.267132i | ||||
\(45\) | 1.15014e8i | 0.623287i | ||||||||
\(46\) | 2.42271e8 | − | 2.79155e8i | 1.17628 | − | 1.35537i | ||||
\(47\) | 1.07492e8 | 0.468691 | 0.234345 | − | 0.972153i | \(-0.424705\pi\) | ||||
0.234345 | + | 0.972153i | \(0.424705\pi\) | |||||||
\(48\) | −7.02962e8 | − | 2.06408e8i | −2.75883 | − | 0.810067i | ||||
\(49\) | −1.77851e8 | + | 2.05251e8i | −0.629616 | + | 0.726616i | ||||
\(50\) | 4.16767e8 | + | 2.67840e8i | 1.33365 | + | 0.857087i | ||||
\(51\) | −1.03736e9 | − | 1.49150e8i | −3.00662 | − | 0.432287i | ||||
\(52\) | 1.19522e9 | − | 7.68121e8i | 3.14363 | − | 2.02029i | ||||
\(53\) | −4.66888e8 | + | 2.13221e8i | −1.11643 | + | 0.509859i | −0.886212 | − | 0.463279i | \(-0.846673\pi\) |
−0.230222 | + | 0.973138i | \(0.573945\pi\) | |||||||
\(54\) | −7.48366e8 | − | 8.63661e8i | −1.62984 | − | 1.88094i | ||||
\(55\) | −3.06667e6 | − | 2.13292e7i | −0.00609332 | − | 0.0423800i | ||||
\(56\) | 2.15467e8 | + | 9.84007e7i | 0.391238 | + | 0.178673i | ||||
\(57\) | 4.17210e8 | + | 1.42089e9i | 0.693395 | + | 2.36149i | ||||
\(58\) | 2.75963e8 | − | 8.10299e7i | 0.420446 | − | 0.123454i | ||||
\(59\) | −9.48362e7 | + | 2.07662e8i | −0.132652 | + | 0.290468i | −0.964289 | − | 0.264852i | \(-0.914677\pi\) |
0.831637 | + | 0.555320i | \(0.187404\pi\) | |||||||
\(60\) | 9.81101e8 | − | 1.41061e8i | 1.26170 | − | 0.181406i | ||||
\(61\) | 5.56382e8 | − | 4.82108e8i | 0.658755 | − | 0.570815i | −0.260016 | − | 0.965604i | \(-0.583728\pi\) |
0.918772 | + | 0.394789i | \(0.129182\pi\) | |||||||
\(62\) | −1.37401e8 | − | 3.00866e8i | −0.149979 | − | 0.328409i | ||||
\(63\) | 1.92268e8 | + | 2.99175e8i | 0.193733 | + | 0.301455i | ||||
\(64\) | 2.02488e7 | − | 1.40834e8i | 0.0188582 | − | 0.131161i | ||||
\(65\) | −3.60495e8 | + | 5.60941e8i | −0.310693 | + | 0.483448i | ||||
\(66\) | 3.57923e8 | + | 3.10142e8i | 0.285805 | + | 0.247652i | ||||
\(67\) | −1.58540e8 | + | 5.39936e8i | −0.117426 | + | 0.399916i | −0.997139 | − | 0.0755890i | \(-0.975916\pi\) |
0.879713 | + | 0.475505i | \(0.157734\pi\) | |||||||
\(68\) | 5.83488e9i | 4.01317i | ||||||||
\(69\) | −1.09019e9 | − | 2.39212e9i | −0.697038 | − | 1.52946i | ||||
\(70\) | −2.02243e8 | −0.120332 | ||||||||
\(71\) | 2.59270e8 | + | 7.61285e7i | 0.143701 | + | 0.0421945i | 0.352792 | − | 0.935702i | \(-0.385232\pi\) |
−0.209091 | + | 0.977896i | \(0.567050\pi\) | |||||||
\(72\) | −5.06600e9 | + | 5.84648e9i | −2.61820 | + | 3.02157i | ||||
\(73\) | −9.38541e6 | − | 6.03164e6i | −0.00452730 | − | 0.00290952i | 0.538375 | − | 0.842705i | \(-0.319038\pi\) |
−0.542903 | + | 0.839796i | \(0.682675\pi\) | |||||||
\(74\) | 7.04357e8 | + | 1.01271e8i | 0.317420 | + | 0.0456381i | ||||
\(75\) | 2.96411e9 | − | 1.90492e9i | 1.24907 | − | 0.802730i | ||||
\(76\) | 7.49968e9 | − | 3.42499e9i | 2.95784 | − | 1.35080i | ||||
\(77\) | −4.36329e7 | − | 5.03550e7i | −0.0161198 | − | 0.0186033i | ||||
\(78\) | −2.08562e9 | − | 1.45058e10i | −0.722373 | − | 5.02422i | ||||
\(79\) | 1.88062e9 | + | 8.58850e8i | 0.611175 | + | 0.279114i | 0.696859 | − | 0.717208i | \(-0.254580\pi\) |
−0.0856841 | + | 0.996322i | \(0.527308\pi\) | |||||||
\(80\) | −5.39331e8 | − | 1.83679e9i | −0.164591 | − | 0.560544i | ||||
\(81\) | −1.69248e9 | + | 4.96958e8i | −0.485400 | + | 0.142526i | ||||
\(82\) | −4.71556e9 | + | 1.03256e10i | −1.27193 | + | 2.78514i | ||||
\(83\) | 7.48751e8 | − | 1.07654e8i | 0.190085 | − | 0.0273301i | −0.0466149 | − | 0.998913i | \(-0.514843\pi\) |
0.236700 | + | 0.971583i | \(0.423934\pi\) | |||||||
\(84\) | 2.31623e9 | − | 2.00703e9i | 0.553841 | − | 0.479906i | ||||
\(85\) | −1.13758e9 | − | 2.49096e9i | −0.256383 | − | 0.561400i | ||||
\(86\) | −6.53927e9 | − | 1.01753e10i | −1.39007 | − | 2.16299i | ||||
\(87\) | 2.91111e8 | − | 2.02472e9i | 0.0584068 | − | 0.406228i | ||||
\(88\) | 7.83596e8 | − | 1.21930e9i | 0.148484 | − | 0.231045i | ||||
\(89\) | 2.84805e9 | + | 2.46785e9i | 0.510032 | + | 0.441946i | 0.871469 | − | 0.490451i | \(-0.163168\pi\) |
−0.361436 | + | 0.932397i | \(0.617713\pi\) | |||||||
\(90\) | 1.86085e9 | − | 6.33746e9i | 0.315136 | − | 1.07325i | ||||
\(91\) | 2.06176e9i | 0.330393i | ||||||||
\(92\) | −1.23187e10 | + | 7.90319e9i | −1.86907 | + | 1.19912i | ||||
\(93\) | −2.35238e9 | −0.338138 | ||||||||
\(94\) | −5.92298e9 | − | 1.73914e9i | −0.807051 | − | 0.236971i | ||||
\(95\) | −2.53393e9 | + | 2.92431e9i | −0.327474 | + | 0.377925i | ||||
\(96\) | 1.01386e10 | + | 6.51570e9i | 1.24343 | + | 0.799107i | ||||
\(97\) | −1.22808e10 | − | 1.76571e9i | −1.43010 | − | 0.205617i | −0.616643 | − | 0.787243i | \(-0.711508\pi\) |
−0.813457 | + | 0.581626i | \(0.802417\pi\) | |||||||
\(98\) | 1.31207e10 | − | 8.43216e9i | 1.45153 | − | 0.932842i | ||||
\(99\) | 1.97939e9 | − | 9.03957e8i | 0.208140 | − | 0.0950543i | ||||
\(100\) | −1.28462e10 | − | 1.48253e10i | −1.28462 | − | 1.48253i | ||||
\(101\) | 4.38754e8 | + | 3.05160e9i | 0.0417460 | + | 0.290350i | 0.999990 | + | 0.00439900i | \(0.00140025\pi\) |
−0.958244 | + | 0.285951i | \(0.907691\pi\) | |||||||
\(102\) | 5.47471e10 | + | 2.50022e10i | 4.95861 | + | 2.26452i | ||||
\(103\) | 5.07291e9 | + | 1.72767e10i | 0.437593 | + | 1.49031i | 0.823258 | + | 0.567667i | \(0.192154\pi\) |
−0.385665 | + | 0.922639i | \(0.626028\pi\) | |||||||
\(104\) | −4.30326e10 | + | 1.26355e10i | −3.53697 | + | 1.03855i | ||||
\(105\) | −5.97524e8 | + | 1.30840e9i | −0.0468176 | + | 0.102516i | ||||
\(106\) | 2.91760e10 | − | 4.19488e9i | 2.18020 | − | 0.313466i | ||||
\(107\) | 2.88357e8 | − | 2.49863e8i | 0.0205595 | − | 0.0178149i | −0.644520 | − | 0.764587i | \(-0.722943\pi\) |
0.665080 | + | 0.746772i | \(0.268397\pi\) | |||||||
\(108\) | 1.87978e10 | + | 4.11614e10i | 1.27935 | + | 2.80138i | ||||
\(109\) | 4.40358e9 | + | 6.85211e9i | 0.286203 | + | 0.445340i | 0.954351 | − | 0.298688i | \(-0.0965491\pi\) |
−0.668148 | + | 0.744028i | \(0.732913\pi\) | |||||||
\(110\) | −1.76112e8 | + | 1.22489e9i | −0.0109352 | + | 0.0760560i | ||||
\(111\) | 2.73619e9 | − | 4.25759e9i | 0.162379 | − | 0.252667i | ||||
\(112\) | −4.47346e9 | − | 3.87627e9i | −0.253836 | − | 0.219950i | ||||
\(113\) | −5.32880e9 | + | 1.81482e10i | −0.289226 | + | 0.985014i | 0.678833 | + | 0.734293i | \(0.262486\pi\) |
−0.968059 | + | 0.250721i | \(0.919332\pi\) | |||||||
\(114\) | − | 8.50434e10i | − | 4.41689i | ||||||
\(115\) | 3.71815e9 | − | 5.77563e9i | 0.184858 | − | 0.287151i | ||||
\(116\) | −1.13885e10 | −0.542223 | ||||||||
\(117\) | −6.46070e10 | − | 1.89703e10i | −2.94680 | − | 0.865258i | ||||
\(118\) | 8.58545e9 | − | 9.90814e9i | 0.375278 | − | 0.433094i | ||||
\(119\) | −7.12320e9 | − | 4.57780e9i | −0.298497 | − | 0.191833i | ||||
\(120\) | −3.09705e10 | − | 4.45289e9i | −1.24464 | − | 0.178952i | ||||
\(121\) | 2.14770e10 | − | 1.38024e10i | 0.828030 | − | 0.532143i | ||||
\(122\) | −3.84577e10 | + | 1.75631e10i | −1.42293 | + | 0.649832i | ||||
\(123\) | 5.28690e10 | + | 6.10141e10i | 1.87791 | + | 2.16723i | ||||
\(124\) | 1.86388e9 | + | 1.29636e10i | 0.0635783 | + | 0.442197i | ||||
\(125\) | 1.78547e10 | + | 8.15398e9i | 0.585064 | + | 0.267190i | ||||
\(126\) | −5.75384e9 | − | 1.95958e10i | −0.181178 | − | 0.617035i | ||||
\(127\) | 3.54206e10 | − | 1.04004e10i | 1.07211 | − | 0.314799i | 0.302389 | − | 0.953185i | \(-0.402216\pi\) |
0.769716 | + | 0.638386i | \(0.220398\pi\) | |||||||
\(128\) | −1.59463e10 | + | 3.49175e10i | −0.464098 | + | 1.01623i | ||||
\(129\) | −8.51487e10 | + | 1.22425e10i | −2.38358 | + | 0.342707i | ||||
\(130\) | 2.89395e10 | − | 2.50762e10i | 0.779424 | − | 0.675375i | ||||
\(131\) | 1.63927e10 | + | 3.58950e10i | 0.424907 | + | 0.930417i | 0.994126 | + | 0.108231i | \(0.0345186\pi\) |
−0.569218 | + | 0.822186i | \(0.692754\pi\) | |||||||
\(132\) | −1.01387e10 | − | 1.57761e10i | −0.252994 | − | 0.393667i | ||||
\(133\) | −1.70272e9 | + | 1.18427e10i | −0.0409153 | + | 0.284572i | ||||
\(134\) | 1.74716e10 | − | 2.71863e10i | 0.404397 | − | 0.629254i | ||||
\(135\) | −1.60499e10 | − | 1.39073e10i | −0.357934 | − | 0.310152i | ||||
\(136\) | 5.18924e10 | − | 1.76729e11i | 1.11535 | − | 3.79852i | ||||
\(137\) | − | 2.83021e10i | − | 0.586429i | −0.956047 | − | 0.293215i | \(-0.905275\pi\) | ||
0.956047 | − | 0.293215i | \(-0.0947250\pi\) | |||||||
\(138\) | 2.13684e10 | + | 1.49448e11i | 0.426949 | + | 2.98603i | ||||
\(139\) | 6.54685e9 | 0.126171 | 0.0630853 | − | 0.998008i | \(-0.479906\pi\) | ||||
0.0630853 | + | 0.998008i | \(0.479906\pi\) | |||||||
\(140\) | 7.68376e9 | + | 2.25616e9i | 0.142868 | + | 0.0419497i | ||||
\(141\) | −2.87507e10 | + | 3.31800e10i | −0.515884 | + | 0.595362i | ||||
\(142\) | −1.30545e10 | − | 8.38961e9i | −0.226109 | − | 0.145311i | ||||
\(143\) | 1.24871e10 | + | 1.79537e9i | 0.208825 | + | 0.0300244i | ||||
\(144\) | 1.62627e11 | − | 1.04514e11i | 2.62652 | − | 1.68796i | ||||
\(145\) | 4.86187e9 | − | 2.22034e9i | 0.0758513 | − | 0.0346401i | ||||
\(146\) | 4.19563e8 | + | 4.84202e8i | 0.00632460 | + | 0.00729898i | ||||
\(147\) | −1.57863e10 | − | 1.09796e11i | −0.229982 | − | 1.59956i | ||||
\(148\) | −2.56308e10 | − | 1.17052e10i | −0.360955 | − | 0.164843i | ||||
\(149\) | 1.80132e10 | + | 6.13472e10i | 0.245278 | + | 0.835341i | 0.986455 | + | 0.164031i | \(0.0524498\pi\) |
−0.741177 | + | 0.671310i | \(0.765732\pi\) | |||||||
\(150\) | −1.94147e11 | + | 5.70068e10i | −2.55667 | + | 0.750706i | ||||
\(151\) | 1.07686e10 | − | 2.35799e10i | 0.137174 | − | 0.300370i | −0.828561 | − | 0.559899i | \(-0.810840\pi\) |
0.965735 | + | 0.259529i | \(0.0835672\pi\) | |||||||
\(152\) | −2.57614e11 | + | 3.70392e10i | −3.17505 | + | 0.456504i | ||||
\(153\) | 2.08991e11 | − | 1.81091e11i | 2.49270 | − | 2.15994i | ||||
\(154\) | 1.58953e9 | + | 3.48059e9i | 0.0183513 | + | 0.0401836i | ||||
\(155\) | −3.32311e9 | − | 5.17087e9i | −0.0371438 | − | 0.0577969i | ||||
\(156\) | −8.25837e10 | + | 5.74382e11i | −0.893864 | + | 6.21696i | ||||
\(157\) | −8.31445e10 | + | 1.29375e11i | −0.871636 | + | 1.35629i | 0.0620025 | + | 0.998076i | \(0.480251\pi\) |
−0.933639 | + | 0.358216i | \(0.883385\pi\) | |||||||
\(158\) | −8.97296e10 | − | 7.77511e10i | −0.911277 | − | 0.789626i | ||||
\(159\) | 5.90619e10 | − | 2.01146e11i | 0.581195 | − | 1.97937i | ||||
\(160\) | 3.14906e10i | 0.300317i | ||||||||
\(161\) | 1.65761e7 | − | 2.12392e10i | 0.000153233 | − | 0.196340i | ||||
\(162\) | 1.01299e11 | 0.907883 | ||||||||
\(163\) | 1.57463e11 | + | 4.62352e10i | 1.36848 | + | 0.401823i | 0.881746 | − | 0.471724i | \(-0.156368\pi\) |
0.486738 | + | 0.873548i | \(0.338186\pi\) | |||||||
\(164\) | 2.94347e11 | − | 3.39695e11i | 2.48108 | − | 2.86332i | ||||
\(165\) | 7.40402e9 | + | 4.75828e9i | 0.0605408 | + | 0.0389072i | ||||
\(166\) | −4.29992e10 | − | 6.18235e9i | −0.341130 | − | 0.0490471i | ||||
\(167\) | 1.09931e11 | − | 7.06485e10i | 0.846328 | − | 0.543902i | −0.0440992 | − | 0.999027i | \(-0.514042\pi\) |
0.890428 | + | 0.455125i | \(0.150405\pi\) | |||||||
\(168\) | −8.80045e10 | + | 4.01903e10i | −0.657595 | + | 0.300314i | ||||
\(169\) | −1.65360e11 | − | 1.90836e11i | −1.19949 | − | 1.38429i | ||||
\(170\) | 2.23807e10 | + | 1.55661e11i | 0.157626 | + | 1.09632i | ||||
\(171\) | −3.55435e11 | − | 1.62322e11i | −2.43097 | − | 1.11019i | ||||
\(172\) | 1.34933e11 | + | 4.59538e11i | 0.896344 | + | 3.05267i | ||||
\(173\) | 4.13523e10 | − | 1.21421e10i | 0.266851 | − | 0.0783545i | −0.145570 | − | 0.989348i | \(-0.546502\pi\) |
0.412421 | + | 0.910993i | \(0.364683\pi\) | |||||||
\(174\) | −4.87993e10 | + | 1.06856e11i | −0.305962 | + | 0.669963i | ||||
\(175\) | 2.81773e10 | − | 4.05128e9i | 0.171676 | − | 0.0246832i | ||||
\(176\) | −2.73723e10 | + | 2.37182e10i | −0.162087 | + | 0.140449i | ||||
\(177\) | −3.87344e10 | − | 8.48166e10i | −0.222962 | − | 0.488219i | ||||
\(178\) | −1.17004e11 | − | 1.82062e11i | −0.654789 | − | 1.01887i | ||||
\(179\) | 1.02010e10 | − | 7.09494e10i | 0.0555108 | − | 0.386086i | −0.943059 | − | 0.332625i | \(-0.892066\pi\) |
0.998570 | − | 0.0534608i | \(-0.0170252\pi\) | |||||||
\(180\) | −1.41397e11 | + | 2.20019e11i | −0.748306 | + | 1.16439i | ||||
\(181\) | 1.82540e11 | + | 1.58172e11i | 0.939649 | + | 0.814210i | 0.982765 | − | 0.184860i | \(-0.0591831\pi\) |
−0.0431162 | + | 0.999070i | \(0.513729\pi\) | |||||||
\(182\) | 3.33578e10 | − | 1.13606e11i | 0.167047 | − | 0.568911i | ||||
\(183\) | 3.00690e11i | 1.46509i | ||||||||
\(184\) | 4.43402e11 | − | 1.29819e11i | 2.10237 | − | 0.615529i | ||||
\(185\) | 1.32241e10 | 0.0610248 | ||||||||
\(186\) | 1.29620e11 | + | 3.80599e10i | 0.582248 | + | 0.170963i | ||||
\(187\) | −3.39285e10 | + | 3.91556e10i | −0.148374 | + | 0.171232i | ||||
\(188\) | 2.05629e11 | + | 1.32150e11i | 0.875580 | + | 0.562701i | ||||
\(189\) | −6.49977e10 | − | 9.34526e9i | −0.269519 | − | 0.0387510i | ||||
\(190\) | 1.86937e11 | − | 1.20137e11i | 0.754966 | − | 0.485187i | ||||
\(191\) | −3.08335e11 | + | 1.40812e11i | −1.21299 | + | 0.553952i | −0.916096 | − | 0.400960i | \(-0.868677\pi\) |
−0.296890 | + | 0.954912i | \(0.595949\pi\) | |||||||
\(192\) | 3.80558e10 | + | 4.39188e10i | 0.145853 | + | 0.168323i | ||||
\(193\) | −6.17880e9 | − | 4.29745e10i | −0.0230737 | − | 0.160481i | 0.975027 | − | 0.222087i | \(-0.0712869\pi\) |
−0.998101 | + | 0.0616058i | \(0.980378\pi\) | |||||||
\(194\) | 6.48121e11 | + | 2.95987e11i | 2.35856 | + | 1.07712i | ||||
\(195\) | −7.67274e10 | − | 2.61309e11i | −0.272131 | − | 0.926792i | ||||
\(196\) | −5.92559e11 | + | 1.73991e11i | −2.04857 | + | 0.601515i | ||||
\(197\) | 6.26035e10 | − | 1.37083e11i | 0.210993 | − | 0.462010i | −0.774314 | − | 0.632801i | \(-0.781905\pi\) |
0.985307 | + | 0.170791i | \(0.0546324\pi\) | |||||||
\(198\) | −1.23693e11 | + | 1.77844e10i | −0.406461 | + | 0.0584403i | ||||
\(199\) | −3.81305e11 | + | 3.30403e11i | −1.22182 | + | 1.05871i | −0.225393 | + | 0.974268i | \(0.572367\pi\) |
−0.996428 | + | 0.0844458i | \(0.973088\pi\) | |||||||
\(200\) | 2.57243e11 | + | 5.63283e11i | 0.803884 | + | 1.76026i | ||||
\(201\) | −1.24260e11 | − | 1.93353e11i | −0.378750 | − | 0.589346i | ||||
\(202\) | 2.51967e10 | − | 1.75247e11i | 0.0749182 | − | 0.521067i | ||||
\(203\) | 8.93498e9 | − | 1.39031e10i | 0.0259187 | − | 0.0403303i | ||||
\(204\) | −1.80108e12 | − | 1.56064e12i | −5.09779 | − | 4.41726i | ||||
\(205\) | −5.94316e10 | + | 2.02405e11i | −0.164153 | + | 0.559053i | ||||
\(206\) | − | 1.03405e12i | − | 2.78744i | ||||||
\(207\) | 6.65397e11 | + | 1.95942e11i | 1.75077 | + | 0.515557i | ||||
\(208\) | 1.12074e12 | 2.87865 | ||||||||
\(209\) | 7.02429e10 | + | 2.06252e10i | 0.176145 | + | 0.0517209i | ||||
\(210\) | 5.40934e10 | − | 6.24272e10i | 0.132449 | − | 0.152854i | ||||
\(211\) | 3.57558e11 | + | 2.29789e11i | 0.854938 | + | 0.549435i | 0.893111 | − | 0.449836i | \(-0.148518\pi\) |
−0.0381736 | + | 0.999271i | \(0.512154\pi\) | |||||||
\(212\) | −1.15528e12 | − | 1.66104e11i | −2.69778 | − | 0.387882i | ||||
\(213\) | −9.28454e10 | + | 5.96681e10i | −0.211769 | + | 0.136096i | ||||
\(214\) | −1.99315e10 | + | 9.10243e9i | −0.0444091 | + | 0.0202810i | ||||
\(215\) | −1.47197e11 | − | 1.69874e11i | −0.320410 | − | 0.369773i | ||||
\(216\) | −2.03287e11 | − | 1.41389e12i | −0.432356 | − | 3.00710i | ||||
\(217\) | −1.72882e10 | − | 7.89525e9i | −0.0359295 | − | 0.0164084i | ||||
\(218\) | −1.31782e11 | − | 4.48809e11i | −0.267654 | − | 0.911547i | ||||
\(219\) | 4.37211e9 | − | 1.28377e9i | 0.00867902 | − | 0.00254839i | ||||
\(220\) | 2.03555e10 | − | 4.45723e10i | 0.0394974 | − | 0.0864872i | ||||
\(221\) | 1.58688e12 | − | 2.28160e11i | 3.01012 | − | 0.432790i | ||||
\(222\) | −2.19653e11 | + | 1.90330e11i | −0.407354 | + | 0.352974i | ||||
\(223\) | −3.06421e11 | − | 6.70968e11i | −0.555641 | − | 1.21668i | −0.954097 | − | 0.299496i | \(-0.903181\pi\) |
0.398457 | − | 0.917187i | \(-0.369546\pi\) | |||||||
\(224\) | 5.26425e10 | + | 8.19133e10i | 0.0933462 | + | 0.145249i | ||||
\(225\) | −1.32310e11 | + | 9.20237e11i | −0.229446 | + | 1.59583i | ||||
\(226\) | 5.87251e11 | − | 9.13781e11i | 0.996052 | − | 1.54989i | ||||
\(227\) | 1.10236e11 | + | 9.55200e10i | 0.182892 | + | 0.158476i | 0.741495 | − | 0.670958i | \(-0.234117\pi\) |
−0.558603 | + | 0.829435i | \(0.688663\pi\) | |||||||
\(228\) | −9.48718e11 | + | 3.23104e12i | −1.53979 | + | 5.24406i | ||||
\(229\) | 5.48941e11i | 0.871662i | 0.900029 | + | 0.435831i | \(0.143545\pi\) | ||||
−0.900029 | + | 0.435831i | \(0.856455\pi\) | |||||||
\(230\) | −2.98321e11 | + | 2.58090e11i | −0.463495 | + | 0.400988i | ||||
\(231\) | 2.72137e10 | 0.0413741 | ||||||||
\(232\) | 3.44941e11 | + | 1.01284e11i | 0.513222 | + | 0.150696i | ||||
\(233\) | −5.78496e11 | + | 6.67620e11i | −0.842404 | + | 0.972186i | −0.999882 | − | 0.0153361i | \(-0.995118\pi\) |
0.157478 | + | 0.987522i | \(0.449664\pi\) | |||||||
\(234\) | 3.25303e12 | + | 2.09059e12i | 4.63669 | + | 2.97982i | ||||
\(235\) | −1.13549e11 | − | 1.63259e10i | −0.158433 | − | 0.0227792i | ||||
\(236\) | −4.36718e11 | + | 2.80662e11i | −0.596542 | + | 0.383374i | ||||
\(237\) | −7.68111e11 | + | 3.50785e11i | −1.02727 | + | 0.469136i | ||||
\(238\) | 3.18434e11 | + | 3.67493e11i | 0.416999 | + | 0.481242i | ||||
\(239\) | 3.82128e10 | + | 2.65776e11i | 0.0490027 | + | 0.340821i | 0.999543 | + | 0.0302207i | \(0.00962101\pi\) |
−0.950541 | + | 0.310600i | \(0.899470\pi\) | |||||||
\(240\) | 7.11225e11 | + | 3.24806e11i | 0.893205 | + | 0.407913i | ||||
\(241\) | 1.82170e11 | + | 6.20416e11i | 0.224075 | + | 0.763128i | 0.992398 | + | 0.123067i | \(0.0392730\pi\) |
−0.768324 | + | 0.640061i | \(0.778909\pi\) | |||||||
\(242\) | −1.40673e12 | + | 4.13053e11i | −1.69486 | + | 0.497656i | ||||
\(243\) | −1.88845e11 | + | 4.13513e11i | −0.222882 | + | 0.488043i | ||||
\(244\) | 1.65705e12 | − | 2.38247e11i | 1.91595 | − | 0.275473i | ||||
\(245\) | 2.19047e11 | − | 1.89805e11i | 0.248145 | − | 0.215019i | ||||
\(246\) | −1.92600e12 | − | 4.21736e12i | −2.13787 | − | 4.68128i | ||||
\(247\) | −1.22474e12 | − | 1.90573e12i | −1.33216 | − | 2.07289i | ||||
\(248\) | 5.88373e10 | − | 4.09222e11i | 0.0627183 | − | 0.436215i | ||||
\(249\) | −1.67037e11 | + | 2.59915e11i | −0.174508 | + | 0.271540i | ||||
\(250\) | −8.51899e11 | − | 7.38174e11i | −0.872344 | − | 0.755891i | ||||
\(251\) | −2.06011e11 | + | 7.01608e11i | −0.206786 | + | 0.704248i | 0.789151 | + | 0.614199i | \(0.210521\pi\) |
−0.995937 | + | 0.0900495i | \(0.971297\pi\) | |||||||
\(252\) | 8.08686e11i | 0.795751i | ||||||||
\(253\) | −1.28621e11 | − | 1.85954e10i | −0.124083 | − | 0.0179392i | ||||
\(254\) | −2.12000e12 | −2.00525 | ||||||||
\(255\) | 1.07316e12 | + | 3.15109e11i | 0.995326 | + | 0.292254i | ||||
\(256\) | 1.34819e12 | − | 1.55590e12i | 1.22618 | − | 1.41508i | ||||
\(257\) | 9.13294e11 | + | 5.86939e11i | 0.814601 | + | 0.523512i | 0.880350 | − | 0.474324i | \(-0.157307\pi\) |
−0.0657493 | + | 0.997836i | \(0.520944\pi\) | |||||||
\(258\) | 4.88990e12 | + | 7.03062e11i | 4.27762 | + | 0.615028i | ||||
\(259\) | 3.43985e10 | − | 2.21065e10i | 0.0295148 | − | 0.0189680i | ||||
\(260\) | −1.37923e12 | + | 6.29875e11i | −1.16084 | + | 0.530136i | ||||
\(261\) | 3.53455e11 | + | 4.07909e11i | 0.291831 | + | 0.336791i | ||||
\(262\) | −3.22509e11 | − | 2.24310e12i | −0.261237 | − | 1.81694i | ||||
\(263\) | −6.84828e11 | − | 3.12751e11i | −0.544256 | − | 0.248553i | 0.124262 | − | 0.992249i | \(-0.460344\pi\) |
−0.668518 | + | 0.743696i | \(0.733071\pi\) | |||||||
\(264\) | 1.66780e11 | + | 5.68000e11i | 0.130054 | + | 0.442924i | ||||
\(265\) | 5.25582e11 | − | 1.54325e11i | 0.402171 | − | 0.118088i | ||||
\(266\) | 2.85429e11 | − | 6.25002e11i | 0.214333 | − | 0.469325i | ||||
\(267\) | −1.52353e12 | + | 2.19050e11i | −1.12278 | + | 0.161431i | ||||
\(268\) | −9.67076e11 | + | 8.37976e11i | −0.699498 | + | 0.606119i | ||||
\(269\) | −3.83958e11 | − | 8.40750e11i | −0.272597 | − | 0.596905i | 0.722978 | − | 0.690871i | \(-0.242773\pi\) |
−0.995575 | + | 0.0939659i | \(0.970046\pi\) | |||||||
\(270\) | 6.59364e11 | + | 1.02599e12i | 0.459522 | + | 0.715031i | ||||
\(271\) | 1.23961e11 | − | 8.62166e11i | 0.0848082 | − | 0.589854i | −0.902458 | − | 0.430778i | \(-0.858239\pi\) |
0.987266 | − | 0.159076i | \(-0.0508515\pi\) | |||||||
\(272\) | −2.48843e12 | + | 3.87207e12i | −1.67140 | + | 2.60075i | ||||
\(273\) | −6.36412e11 | − | 5.51454e11i | −0.419687 | − | 0.363661i | ||||
\(274\) | −4.57908e11 | + | 1.55949e12i | −0.296500 | + | 1.00979i | ||||
\(275\) | − | 1.74185e11i | − | 0.110751i | ||||||
\(276\) | 8.55353e11 | − | 5.91633e12i | 0.534072 | − | 3.69409i | ||||
\(277\) | −6.40895e11 | −0.392996 | −0.196498 | − | 0.980504i | \(-0.562957\pi\) | ||||
−0.196498 | + | 0.980504i | \(0.562957\pi\) | |||||||
\(278\) | −3.60742e11 | − | 1.05923e11i | −0.217256 | − | 0.0637922i | ||||
\(279\) | 4.06475e11 | − | 4.69097e11i | 0.240443 | − | 0.277486i | ||||
\(280\) | −2.12664e11 | − | 1.36671e11i | −0.123567 | − | 0.0794120i | ||||
\(281\) | −2.44452e12 | − | 3.51469e11i | −1.39528 | − | 0.200611i | −0.596685 | − | 0.802476i | \(-0.703516\pi\) |
−0.798598 | + | 0.601864i | \(0.794425\pi\) | |||||||
\(282\) | 2.12104e12 | − | 1.36311e12i | 1.18933 | − | 0.764337i | ||||
\(283\) | 2.46476e12 | − | 1.12562e12i | 1.35782 | − | 0.620097i | 0.402435 | − | 0.915449i | \(-0.368164\pi\) |
0.955389 | + | 0.295351i | \(0.0954367\pi\) | |||||||
\(284\) | 4.02385e11 | + | 4.64377e11i | 0.217796 | + | 0.251350i | ||||
\(285\) | −2.24916e11 | − | 1.56432e12i | −0.119618 | − | 0.831959i | ||||
\(286\) | −6.59011e11 | − | 3.00960e11i | −0.344400 | − | 0.157282i | ||||
\(287\) | 1.83766e11 | + | 6.25849e11i | 0.0943746 | + | 0.321410i | ||||
\(288\) | −3.05120e12 | + | 8.95912e11i | −1.53995 | + | 0.452171i | ||||
\(289\) | −1.89768e12 | + | 4.15534e12i | −0.941312 | + | 2.06119i | ||||
\(290\) | −3.03820e11 | + | 4.36827e10i | −0.148124 | + | 0.0212971i | ||||
\(291\) | 3.82974e12 | − | 3.31849e12i | 1.83529 | − | 1.59029i | ||||
\(292\) | −1.05388e10 | − | 2.30767e10i | −0.00496451 | − | 0.0108708i | ||||
\(293\) | −4.44523e11 | − | 6.91692e11i | −0.205853 | − | 0.320313i | 0.722941 | − | 0.690909i | \(-0.242790\pi\) |
−0.928794 | + | 0.370596i | \(0.879153\pi\) | |||||||
\(294\) | −9.06574e11 | + | 6.30536e12i | −0.412731 | + | 2.87060i | ||||
\(295\) | 1.31720e11 | − | 2.04961e11i | 0.0589579 | − | 0.0917403i | ||||
\(296\) | 6.72216e11 | + | 5.82478e11i | 0.295835 | + | 0.256343i | ||||
\(297\) | −1.13200e11 | + | 3.85523e11i | −0.0489851 | + | 0.166828i | ||||
\(298\) | − | 3.67177e12i | − | 1.56241i | ||||||
\(299\) | 2.63109e12 | + | 3.04123e12i | 1.10098 | + | 1.27260i | ||||
\(300\) | 8.01215e12 | 3.29718 | ||||||||
\(301\) | −6.66865e11 | − | 1.95809e11i | −0.269902 | − | 0.0792503i | ||||
\(302\) | −9.74871e11 | + | 1.12506e12i | −0.388072 | + | 0.447859i | ||||
\(303\) | −1.05931e12 | − | 6.80775e11i | −0.414771 | − | 0.266557i | ||||
\(304\) | 6.43752e12 | + | 9.25575e11i | 2.47942 | + | 0.356487i | ||||
\(305\) | −6.60958e11 | + | 4.24772e11i | −0.250423 | + | 0.160937i | ||||
\(306\) | −1.44457e13 | + | 6.59711e12i | −5.38431 | + | 2.45893i | ||||
\(307\) | 1.70544e12 | + | 1.96818e12i | 0.625379 | + | 0.721726i | 0.976719 | − | 0.214522i | \(-0.0688193\pi\) |
−0.351340 | + | 0.936248i | \(0.614274\pi\) | |||||||
\(308\) | −2.15624e10 | − | 1.49970e11i | −0.00777935 | − | 0.0541066i | ||||
\(309\) | −6.68973e12 | − | 3.05510e12i | −2.37474 | − | 1.08451i | ||||
\(310\) | 9.94480e10 | + | 3.38689e11i | 0.0347366 | + | 0.118302i | ||||
\(311\) | 3.27533e12 | − | 9.61722e11i | 1.12578 | − | 0.330558i | 0.334731 | − | 0.942314i | \(-0.391355\pi\) |
0.791047 | + | 0.611756i | \(0.209537\pi\) | |||||||
\(312\) | 7.60959e12 | − | 1.66627e13i | 2.57388 | − | 5.63601i | ||||
\(313\) | 8.39938e11 | − | 1.20765e11i | 0.279592 | − | 0.0401993i | −0.00109214 | − | 0.999999i | \(-0.500348\pi\) |
0.280684 | + | 0.959800i | \(0.409439\pi\) | |||||||
\(314\) | 6.67460e12 | − | 5.78357e12i | 2.18664 | − | 1.89473i | ||||
\(315\) | −1.57664e11 | − | 3.45235e11i | −0.0508369 | − | 0.111317i | ||||
\(316\) | 2.54171e12 | + | 3.95498e12i | 0.806661 | + | 1.25519i | ||||
\(317\) | 4.60718e11 | − | 3.20437e12i | 0.143926 | − | 1.00103i | −0.781988 | − | 0.623293i | \(-0.785794\pi\) |
0.925914 | − | 0.377734i | \(-0.123297\pi\) | |||||||
\(318\) | −6.50881e12 | + | 1.01279e13i | −2.00155 | + | 3.11447i | ||||
\(319\) | −7.64240e10 | − | 6.62218e10i | −0.0231354 | − | 0.0200469i | ||||
\(320\) | −4.27797e10 | + | 1.45694e11i | −0.0127493 | + | 0.0434203i | ||||
\(321\) | 1.55839e11i | 0.0457247i | ||||||||
\(322\) | −3.44548e11 | + | 1.17004e12i | −0.0995338 | + | 0.338005i | ||||
\(323\) | 9.30346e12 | 2.64626 | ||||||||
\(324\) | −3.84863e12 | − | 1.13006e12i | −1.07791 | − | 0.316502i | ||||
\(325\) | −3.52965e12 | + | 4.07343e12i | −0.973452 | + | 1.12342i | ||||
\(326\) | −7.92840e12 | − | 5.09527e12i | −2.15326 | − | 1.38382i | ||||
\(327\) | −3.29289e12 | − | 4.73446e11i | −0.880722 | − | 0.126629i | ||||
\(328\) | −1.19364e13 | + | 7.67105e12i | −3.14415 | + | 2.02063i | ||||
\(329\) | −3.22656e11 | + | 1.47352e11i | −0.0837068 | + | 0.0382276i | ||||
\(330\) | −3.30988e11 | − | 3.81980e11i | −0.0845751 | − | 0.0976049i | ||||
\(331\) | 4.06070e11 | + | 2.82428e12i | 0.102202 | + | 0.710833i | 0.974912 | + | 0.222593i | \(0.0714520\pi\) |
−0.872709 | + | 0.488240i | \(0.837639\pi\) | |||||||
\(332\) | 1.56469e12 | + | 7.14570e11i | 0.387916 | + | 0.177156i | ||||
\(333\) | 3.76227e11 | + | 1.28131e12i | 0.0918816 | + | 0.312920i | ||||
\(334\) | −7.20043e12 | + | 2.11424e12i | −1.73231 | + | 0.508653i | ||||
\(335\) | 2.49479e11 | − | 5.46283e11i | 0.0591303 | − | 0.129477i | ||||
\(336\) | 2.39302e12 | − | 3.44064e11i | 0.558791 | − | 0.0803420i | ||||
\(337\) | 8.34571e11 | − | 7.23160e11i | 0.192006 | − | 0.166374i | −0.553553 | − | 0.832814i | \(-0.686728\pi\) |
0.745558 | + | 0.666440i | \(0.232183\pi\) | |||||||
\(338\) | 6.02403e12 | + | 1.31908e13i | 1.36554 | + | 2.99011i | ||||
\(339\) | −4.17662e12 | − | 6.49895e12i | −0.932881 | − | 1.45159i | ||||
\(340\) | 8.86203e11 | − | 6.16368e12i | 0.195047 | − | 1.35658i | ||||
\(341\) | −6.28724e10 | + | 9.78313e10i | −0.0136360 | + | 0.0212181i | ||||
\(342\) | 1.69588e13 | + | 1.46949e13i | 3.62463 | + | 3.14076i | ||||
\(343\) | 5.15102e11 | − | 1.75428e12i | 0.108498 | − | 0.369511i | ||||
\(344\) | − | 1.51187e13i | − | 3.13850i | ||||||
\(345\) | 7.88306e11 | + | 2.69250e12i | 0.161287 | + | 0.550883i | ||||
\(346\) | −2.47503e12 | −0.499114 | ||||||||
\(347\) | −4.23892e11 | − | 1.24466e11i | −0.0842574 | − | 0.0247402i | 0.239332 | − | 0.970938i | \(-0.423072\pi\) |
−0.323590 | + | 0.946198i | \(0.604890\pi\) | |||||||
\(348\) | 3.04607e12 | − | 3.51535e12i | 0.596821 | − | 0.688768i | ||||
\(349\) | 6.53953e11 | + | 4.20270e11i | 0.126305 | + | 0.0811710i | 0.602268 | − | 0.798294i | \(-0.294264\pi\) |
−0.475963 | + | 0.879465i | \(0.657900\pi\) | |||||||
\(350\) | −1.61816e12 | − | 2.32656e11i | −0.308093 | − | 0.0442970i | ||||
\(351\) | 1.04594e13 | − | 6.72187e12i | 1.96324 | − | 1.26170i | ||||
\(352\) | 5.41952e11 | − | 2.47501e11i | 0.100288 | − | 0.0457999i | ||||
\(353\) | 6.39269e12 | + | 7.37755e12i | 1.16630 | + | 1.34598i | 0.927012 | + | 0.375032i | \(0.122368\pi\) |
0.239287 | + | 0.970949i | \(0.423086\pi\) | |||||||
\(354\) | 7.62058e11 | + | 5.30023e12i | 0.137079 | + | 0.953407i | ||||
\(355\) | −2.62318e11 | − | 1.19796e11i | −0.0465249 | − | 0.0212472i | ||||
\(356\) | 2.41429e12 | + | 8.22231e12i | 0.422220 | + | 1.43795i | ||||
\(357\) | 3.31828e12 | − | 9.74336e11i | 0.572232 | − | 0.168023i | ||||
\(358\) | −1.71000e12 | + | 3.74438e12i | −0.290791 | + | 0.636744i | ||||
\(359\) | −5.55037e11 | + | 7.98023e10i | −0.0930786 | + | 0.0133827i | −0.188697 | − | 0.982035i | \(-0.560426\pi\) |
0.0956181 | + | 0.995418i | \(0.469517\pi\) | |||||||
\(360\) | 6.23945e12 | − | 5.40651e12i | 1.03189 | − | 0.894138i | ||||
\(361\) | −2.91406e12 | − | 6.38089e12i | −0.475293 | − | 1.04075i | ||||
\(362\) | −7.49914e12 | − | 1.16689e13i | −1.20634 | − | 1.87710i | ||||
\(363\) | −1.48395e12 | + | 1.03211e13i | −0.235443 | + | 1.63754i | ||||
\(364\) | −2.53471e12 | + | 3.94409e12i | −0.396663 | + | 0.617219i | ||||
\(365\) | 8.99820e9 | + | 7.79698e9i | 0.00138896 | + | 0.00120354i | ||||
\(366\) | 4.86495e12 | − | 1.65685e13i | 0.740752 | − | 2.52277i | ||||
\(367\) | − | 4.73940e12i | − | 0.711858i | −0.934513 | − | 0.355929i | \(-0.884164\pi\) | ||
0.934513 | − | 0.355929i | \(-0.115836\pi\) | |||||||
\(368\) | −1.15453e13 | − | 9.01051e9i | −1.71067 | − | 0.00133509i | ||||
\(369\) | −2.13024e13 | −3.11384 | ||||||||
\(370\) | −7.28667e11 | − | 2.13956e11i | −0.105080 | − | 0.0308543i | ||||
\(371\) | 1.10916e12 | − | 1.28004e12i | 0.157807 | − | 0.182118i | ||||
\(372\) | −4.50005e12 | − | 2.89201e12i | −0.631688 | − | 0.405961i | ||||
\(373\) | 5.00365e12 | + | 7.19416e11i | 0.693015 | + | 0.0996406i | 0.479817 | − | 0.877368i | \(-0.340703\pi\) |
0.213198 | + | 0.977009i | \(0.431612\pi\) | |||||||
\(374\) | 2.50302e12 | − | 1.60860e12i | 0.342064 | − | 0.219831i | ||||
\(375\) | −7.29250e12 | + | 3.33037e12i | −0.983377 | + | 0.449093i | ||||
\(376\) | −5.05292e12 | − | 5.83138e12i | −0.672362 | − | 0.775947i | ||||
\(377\) | 4.45323e11 | + | 3.09729e12i | 0.0584747 | + | 0.406701i | ||||
\(378\) | 3.43028e12 | + | 1.56656e12i | 0.444499 | + | 0.202996i | ||||
\(379\) | 2.46370e12 | + | 8.39058e12i | 0.315058 | + | 1.07299i | 0.953016 | + | 0.302919i | \(0.0979611\pi\) |
−0.637958 | + | 0.770071i | \(0.720221\pi\) | |||||||
\(380\) | −8.44248e12 | + | 2.47894e12i | −1.06550 | + | 0.312858i | ||||
\(381\) | −6.26354e12 | + | 1.37152e13i | −0.780180 | + | 1.70836i | ||||
\(382\) | 1.92680e13 | − | 2.77032e12i | 2.36875 | − | 0.340575i | ||||
\(383\) | 9.74634e12 | − | 8.44526e12i | 1.18263 | − | 1.02475i | 0.183498 | − | 0.983020i | \(-0.441258\pi\) |
0.999129 | − | 0.0417323i | \(-0.0132877\pi\) | |||||||
\(384\) | −6.51302e12 | − | 1.42615e13i | −0.780057 | − | 1.70809i | ||||
\(385\) | 3.84437e10 | + | 5.98195e10i | 0.00454487 | + | 0.00707195i | ||||
\(386\) | −3.54835e11 | + | 2.46793e12i | −0.0414086 | + | 0.288003i | ||||
\(387\) | 1.22717e13 | − | 1.90952e13i | 1.41368 | − | 2.19973i | ||||
\(388\) | −2.13220e13 | − | 1.84756e13i | −2.42476 | − | 2.10107i | ||||
\(389\) | −2.79803e11 | + | 9.52921e11i | −0.0314126 | + | 0.106982i | −0.973707 | − | 0.227804i | \(-0.926846\pi\) |
0.942294 | + | 0.334785i | \(0.108664\pi\) | |||||||
\(390\) | 1.56400e13i | 1.73346i | ||||||||
\(391\) | −1.63491e13 | + | 2.33763e12i | −1.78900 | + | 0.255795i | ||||
\(392\) | 1.94951e13 | 2.10617 | ||||||||
\(393\) | −1.54644e13 | − | 4.54076e12i | −1.64957 | − | 0.484358i | ||||
\(394\) | −5.66745e12 | + | 6.54059e12i | −0.596907 | + | 0.688867i | ||||
\(395\) | −1.85615e12 | − | 1.19288e12i | −0.193031 | − | 0.124054i | ||||
\(396\) | 4.89784e12 | + | 7.04203e11i | 0.502954 | + | 0.0723139i | ||||
\(397\) | −5.49298e12 | + | 3.53012e12i | −0.557000 | + | 0.357962i | −0.788655 | − | 0.614836i | \(-0.789222\pi\) |
0.231655 | + | 0.972798i | \(0.425586\pi\) | |||||||
\(398\) | 2.63562e13 | − | 1.20365e13i | 2.63917 | − | 1.20527i | ||||
\(399\) | −3.20011e12 | − | 3.69313e12i | −0.316447 | − | 0.365199i | ||||
\(400\) | −2.20222e12 | − | 1.53168e13i | −0.215061 | − | 1.49578i | ||||
\(401\) | 5.62891e12 | + | 2.57064e12i | 0.542878 | + | 0.247924i | 0.667928 | − | 0.744226i | \(-0.267182\pi\) |
−0.125049 | + | 0.992151i | \(0.539909\pi\) | |||||||
\(402\) | 3.71863e12 | + | 1.26645e13i | 0.354204 | + | 1.20631i | ||||
\(403\) | 3.45275e12 | − | 1.01382e12i | 0.324818 | − | 0.0953752i | ||||
\(404\) | −2.91230e12 | + | 6.37704e12i | −0.270601 | + | 0.592533i | ||||
\(405\) | 1.86333e12 | − | 2.67907e11i | 0.171008 | − | 0.0245872i | ||||
\(406\) | −7.17274e11 | + | 6.21521e11i | −0.0650212 | + | 0.0563412i | ||||
\(407\) | −1.03935e11 | − | 2.27586e11i | −0.00930657 | − | 0.0203786i | ||||
\(408\) | 4.06723e13 | + | 6.32874e13i | 3.59748 | + | 5.59779i | ||||
\(409\) | 9.00424e11 | − | 6.26258e12i | 0.0786738 | − | 0.547189i | −0.911922 | − | 0.410365i | \(-0.865401\pi\) |
0.990595 | − | 0.136824i | \(-0.0436895\pi\) | |||||||
\(410\) | 6.54955e12 | − | 1.01913e13i | 0.565317 | − | 0.879651i | ||||
\(411\) | 8.73614e12 | + | 7.56991e12i | 0.744921 | + | 0.645478i | ||||
\(412\) | −1.15356e13 | + | 3.92865e13i | −0.971746 | + | 3.30946i | ||||
\(413\) | − | 7.53339e11i | − | 0.0626961i | ||||||
\(414\) | −3.34942e13 | − | 2.15624e13i | −2.75403 | − | 1.77294i | ||||
\(415\) | −8.07295e11 | −0.0655831 | ||||||||
\(416\) | −1.76893e13 | − | 5.19403e12i | −1.41985 | − | 0.416906i | ||||
\(417\) | −1.75107e12 | + | 2.02085e12i | −0.138875 | + | 0.160270i | ||||
\(418\) | −3.53680e12 | − | 2.27296e12i | −0.277159 | − | 0.178119i | ||||
\(419\) | 2.02928e13 | + | 2.91766e12i | 1.57134 | + | 0.225925i | 0.872234 | − | 0.489089i | \(-0.162671\pi\) |
0.699110 | + | 0.715014i | \(0.253580\pi\) | |||||||
\(420\) | −2.75158e12 | + | 1.76833e12i | −0.210541 | + | 0.135306i | ||||
\(421\) | 1.02011e13 | − | 4.65867e12i | 0.771321 | − | 0.352251i | 0.00943001 | − | 0.999956i | \(-0.496998\pi\) |
0.761891 | + | 0.647705i | \(0.224271\pi\) | |||||||
\(422\) | −1.59842e13 | − | 1.84468e13i | −1.19434 | − | 1.37834i | ||||
\(423\) | −1.64864e12 | − | 1.14665e13i | −0.121737 | − | 0.846701i | ||||
\(424\) | 3.35143e13 | + | 1.53055e13i | 2.44569 | + | 1.11691i | ||||
\(425\) | −6.23635e12 | − | 2.12391e13i | −0.449765 | − | 1.53176i | ||||
\(426\) | 6.08132e12 | − | 1.78564e12i | 0.433461 | − | 0.127276i | ||||
\(427\) | −1.00920e12 | + | 2.20983e12i | −0.0710946 | + | 0.155676i | ||||
\(428\) | 8.58799e11 | − | 1.23477e11i | 0.0597961 | − | 0.00859738i | ||||
\(429\) | −3.89409e12 | + | 3.37425e12i | −0.267991 | + | 0.232215i | ||||
\(430\) | 5.36233e12 | + | 1.17419e13i | 0.364764 | + | 0.798721i | ||||
\(431\) | −5.91872e12 | − | 9.20970e12i | −0.397962 | − | 0.619240i | 0.583223 | − | 0.812312i | \(-0.301791\pi\) |
−0.981185 | + | 0.193072i | \(0.938155\pi\) | |||||||
\(432\) | −5.07995e12 | + | 3.53318e13i | −0.337630 | + | 2.34827i | ||||
\(433\) | 6.77560e12 | − | 1.05430e13i | 0.445152 | − | 0.692670i | −0.544079 | − | 0.839034i | \(-0.683121\pi\) |
0.989231 | + | 0.146364i | \(0.0467570\pi\) | |||||||
\(434\) | 8.24867e11 | + | 7.14751e11i | 0.0535717 | + | 0.0464201i | ||||
\(435\) | −6.15032e11 | + | 2.09461e12i | −0.0394867 | + | 0.134479i | ||||
\(436\) | 1.85216e13i | 1.17557i | ||||||||
\(437\) | 1.26013e13 | + | 1.96417e13i | 0.790693 | + | 1.23246i | ||||
\(438\) | −2.61681e11 | −0.0162331 | ||||||||
\(439\) | 5.59496e12 | + | 1.64283e12i | 0.343143 | + | 0.100756i | 0.448763 | − | 0.893651i | \(-0.351865\pi\) |
−0.105621 | + | 0.994407i | \(0.533683\pi\) | |||||||
\(440\) | −1.01294e12 | + | 1.16900e12i | −0.0614215 | + | 0.0708842i | ||||
\(441\) | 2.46226e13 | + | 1.58240e13i | 1.47618 | + | 0.948686i | ||||
\(442\) | −9.11313e13 | − | 1.31027e13i | −5.40202 | − | 0.776694i | ||||
\(443\) | 7.37255e11 | − | 4.73805e11i | 0.0432115 | − | 0.0277703i | −0.518857 | − | 0.854861i | \(-0.673642\pi\) |
0.562068 | + | 0.827091i | \(0.310006\pi\) | |||||||
\(444\) | 1.04685e13 | − | 4.78081e12i | 0.606694 | − | 0.277068i | ||||
\(445\) | −2.63372e12 | − | 3.03948e12i | −0.150928 | − | 0.174180i | ||||
\(446\) | 6.02849e12 | + | 4.19291e13i | 0.341613 | + | 2.37597i | ||||
\(447\) | −2.37543e13 | − | 1.08482e13i | −1.33108 | − | 0.607885i | ||||
\(448\) | 1.32277e11 | + | 4.50495e11i | 0.00732984 | + | 0.0249632i | ||||
\(449\) | 8.57434e12 | − | 2.51765e12i | 0.469861 | − | 0.137964i | −0.0382267 | − | 0.999269i | \(-0.512171\pi\) |
0.508087 | + | 0.861306i | \(0.330353\pi\) | |||||||
\(450\) | 2.21793e13 | − | 4.85659e13i | 1.20195 | − | 2.63190i | ||||
\(451\) | 3.95050e12 | − | 5.67996e11i | 0.211724 | − | 0.0304412i | ||||
\(452\) | −3.25052e13 | + | 2.81659e13i | −1.72290 | + | 1.49290i | ||||
\(453\) | 4.39826e12 | + | 9.63085e12i | 0.230563 | + | 0.504863i | ||||
\(454\) | −4.52873e12 | − | 7.04684e12i | −0.234800 | − | 0.365355i | ||||
\(455\) | 3.13140e11 | − | 2.17794e12i | 0.0160576 | − | 0.111683i | ||||
\(456\) | 5.74704e13 | − | 8.94257e13i | 2.91487 | − | 4.53563i | ||||
\(457\) | 4.56993e12 | + | 3.95987e12i | 0.229260 | + | 0.198655i | 0.761914 | − | 0.647678i | \(-0.224260\pi\) |
−0.532654 | + | 0.846333i | \(0.678805\pi\) | |||||||
\(458\) | 8.88147e12 | − | 3.02475e13i | 0.440715 | − | 1.50094i | ||||
\(459\) | 5.10614e13i | 2.50628i | ||||||||
\(460\) | 1.42132e13 | − | 6.47757e12i | 0.690087 | − | 0.314502i | ||||
\(461\) | −3.03834e13 | −1.45926 | −0.729630 | − | 0.683843i | \(-0.760307\pi\) | ||||
−0.729630 | + | 0.683843i | \(0.760307\pi\) | |||||||
\(462\) | −1.49952e12 | − | 4.40299e11i | −0.0712430 | − | 0.0209188i | ||||
\(463\) | −1.80748e13 | + | 2.08594e13i | −0.849508 | + | 0.980385i | −0.999966 | − | 0.00823186i | \(-0.997380\pi\) |
0.150458 | + | 0.988616i | \(0.451925\pi\) | |||||||
\(464\) | −7.55753e12 | − | 4.85693e12i | −0.351390 | − | 0.225825i | ||||
\(465\) | 2.48494e12 | + | 3.57281e11i | 0.114301 | + | 0.0164341i | ||||
\(466\) | 4.26777e13 | − | 2.74273e13i | 1.94210 | − | 1.24811i | ||||
\(467\) | −1.16386e13 | + | 5.31517e12i | −0.523982 | + | 0.239295i | −0.659803 | − | 0.751439i | \(-0.729360\pi\) |
0.135821 | + | 0.990733i | \(0.456633\pi\) | |||||||
\(468\) | −1.00270e14 | − | 1.15717e14i | −4.46622 | − | 5.15429i | ||||
\(469\) | −2.64271e11 | − | 1.83804e12i | −0.0116462 | − | 0.0810013i | ||||
\(470\) | 5.99260e12 | + | 2.73673e12i | 0.261292 | + | 0.119328i | ||||
\(471\) | −1.76964e13 | − | 6.02684e13i | −0.763450 | − | 2.60007i | ||||
\(472\) | 1.57236e13 | − | 4.61685e12i | 0.671183 | − | 0.197077i | ||||
\(473\) | −1.76663e12 | + | 3.86838e12i | −0.0746174 | + | 0.163389i | ||||
\(474\) | 4.79996e13 | − | 6.90130e12i | 2.00607 | − | 0.288429i | ||||
\(475\) | −2.36383e13 | + | 2.04827e13i | −0.977571 | + | 0.847070i | ||||
\(476\) | −7.99857e12 | − | 1.75144e13i | −0.327324 | − | 0.716740i | ||||
\(477\) | 2.99058e13 | + | 4.65343e13i | 1.21105 | + | 1.88444i | ||||
\(478\) | 2.19448e12 | − | 1.52629e13i | 0.0879412 | − | 0.611644i | ||||
\(479\) | −7.51307e12 | + | 1.16906e13i | −0.297948 | + | 0.463616i | −0.957660 | − | 0.287903i | \(-0.907042\pi\) |
0.659712 | + | 0.751519i | \(0.270678\pi\) | |||||||
\(480\) | −9.72034e12 | − | 8.42273e12i | −0.381483 | − | 0.330557i | ||||
\(481\) | −2.18117e12 | + | 7.42838e12i | −0.0847157 | + | 0.288515i | ||||
\(482\) | − | 3.71333e13i | − | 1.42734i | ||||||
\(483\) | 6.55156e12 | + | 5.68592e12i | 0.249235 | + | 0.216304i | ||||
\(484\) | 5.80535e13 | 2.18576 | ||||||||
\(485\) | 1.27046e13 | + | 3.73041e12i | 0.473427 | + | 0.139011i | ||||
\(486\) | 1.70960e13 | − | 1.97298e13i | 0.630541 | − | 0.727683i | ||||
\(487\) | −3.39802e11 | − | 2.18377e11i | −0.0124045 | − | 0.00797191i | 0.534424 | − | 0.845217i | \(-0.320529\pi\) |
−0.546828 | + | 0.837245i | \(0.684165\pi\) | |||||||
\(488\) | −5.23082e13 | − | 7.52078e12i | −1.89004 | − | 0.271746i | ||||
\(489\) | −5.63879e13 | + | 3.62383e13i | −2.01670 | + | 1.29606i | ||||
\(490\) | −1.51407e13 | + | 6.91454e12i | −0.536002 | + | 0.244784i | ||||
\(491\) | 2.57600e12 | + | 2.97286e12i | 0.0902688 | + | 0.104176i | 0.799087 | − | 0.601216i | \(-0.205317\pi\) |
−0.708818 | + | 0.705391i | \(0.750771\pi\) | |||||||
\(492\) | 2.61267e13 | + | 1.81715e14i | 0.906273 | + | 6.30326i | ||||
\(493\) | −1.16896e13 | − | 5.33848e12i | −0.401390 | − | 0.183309i | ||||
\(494\) | 3.66516e13 | + | 1.24824e14i | 1.24583 | + | 4.24290i | ||||
\(495\) | −2.22822e12 | + | 6.54265e11i | −0.0749778 | + | 0.0220155i | ||||
\(496\) | −4.29175e12 | + | 9.39761e12i | −0.142964 | + | 0.313047i | ||||
\(497\) | −8.82604e11 | + | 1.26899e11i | −0.0291061 | + | 0.00418482i | ||||
\(498\) | 1.34092e13 | − | 1.16192e13i | 0.437782 | − | 0.379340i | ||||
\(499\) | −8.32592e12 | − | 1.82312e13i | −0.269110 | − | 0.589268i | 0.726039 | − | 0.687654i | \(-0.241359\pi\) |
−0.995148 | + | 0.0983859i | \(0.968632\pi\) | |||||||
\(500\) | 2.41312e13 | + | 3.75488e13i | 0.772198 | + | 1.20156i | ||||
\(501\) | −7.59570e12 | + | 5.28293e13i | −0.240646 | + | 1.67373i | ||||
\(502\) | 2.27030e13 | − | 3.53266e13i | 0.712140 | − | 1.10811i | ||||
\(503\) | −3.46433e13 | − | 3.00186e13i | −1.07592 | − | 0.932290i | −0.0780123 | − | 0.996952i | \(-0.524857\pi\) |
−0.997907 | + | 0.0646628i | \(0.979403\pi\) | |||||||
\(504\) | 7.19204e12 | − | 2.44938e13i | 0.221156 | − | 0.753190i | ||||
\(505\) | − | 3.29020e12i | − | 0.100176i | ||||||
\(506\) | 6.78639e12 | + | 3.10564e12i | 0.204591 | + | 0.0936265i | ||||
\(507\) | 1.03135e14 | 3.07869 | ||||||||
\(508\) | 8.05449e13 | + | 2.36501e13i | 2.38078 | + | 0.699061i | ||||
\(509\) | 2.39578e13 | − | 2.76487e13i | 0.701225 | − | 0.809257i | −0.287692 | − | 0.957723i | \(-0.592888\pi\) |
0.988918 | + | 0.148466i | \(0.0474335\pi\) | |||||||
\(510\) | −5.40348e13 | − | 3.47261e13i | −1.56611 | − | 1.00648i | ||||
\(511\) | 3.64403e10 | + | 5.23932e9i | 0.00104587 | + | 0.000150373i | ||||
\(512\) | −6.63933e13 | + | 4.26684e13i | −1.88701 | + | 1.21271i | ||||
\(513\) | 6.56301e13 | − | 2.99723e13i | 1.84721 | − | 0.843593i | ||||
\(514\) | −4.08277e13 | − | 4.71177e13i | −1.13799 | − | 1.31331i | ||||
\(515\) | −2.73477e12 | − | 1.90208e13i | −0.0754893 | − | 0.525039i | ||||
\(516\) | −1.77938e14 | − | 8.12616e13i | −4.86430 | − | 2.22145i | ||||
\(517\) | 6.11475e11 | + | 2.08249e12i | 0.0165549 | + | 0.0563808i | ||||
\(518\) | −2.25308e12 | + | 6.61564e11i | −0.0604126 | + | 0.0177387i | ||||
\(519\) | −7.31245e12 | + | 1.60120e13i | −0.194190 | + | 0.425216i | ||||
\(520\) | 4.73766e13 | − | 6.81173e12i | 1.24608 | − | 0.179160i | ||||
\(521\) | 4.21041e13 | − | 3.64834e13i | 1.09682 | − | 0.950401i | 0.0978255 | − | 0.995204i | \(-0.468811\pi\) |
0.998996 | + | 0.0448025i | \(0.0142658\pi\) | |||||||
\(522\) | −1.28763e13 | − | 2.81951e13i | −0.332229 | − | 0.727480i | ||||
\(523\) | 2.37774e12 | + | 3.69984e12i | 0.0607653 | + | 0.0945527i | 0.870307 | − | 0.492510i | \(-0.163921\pi\) |
−0.809541 | + | 0.587063i | \(0.800284\pi\) | |||||||
\(524\) | −1.27703e13 | + | 8.88193e13i | −0.323254 | + | 2.24828i | ||||
\(525\) | −6.28600e12 | + | 9.78121e12i | −0.157608 | + | 0.245243i | ||||
\(526\) | 3.26750e13 | + | 2.83131e13i | 0.811498 | + | 0.703167i | ||||
\(527\) | −4.16363e12 | + | 1.41800e13i | −0.102428 | + | 0.348838i | ||||
\(528\) | − | 1.47930e13i | − | 0.360484i | ||||||
\(529\) | −2.70797e13 | − | 3.13504e13i | −0.653680 | − | 0.756771i | ||||
\(530\) | −3.14572e13 | −0.752214 | ||||||||
\(531\) | 2.36066e13 | + | 6.93152e12i | 0.559191 | + | 0.164193i | ||||
\(532\) | −1.78166e13 | + | 2.05614e13i | −0.418087 | + | 0.482498i | ||||
\(533\) | −1.03895e14 | − | 6.67692e13i | −2.41523 | − | 1.55217i | ||||
\(534\) | 8.74928e13 | + | 1.25796e13i | 2.01496 | + | 0.289707i | ||||
\(535\) | −3.42556e11 | + | 2.20147e11i | −0.00781560 | + | 0.00502278i | ||||
\(536\) | 3.67438e13 | − | 1.67803e13i | 0.830538 | − | 0.379294i | ||||
\(537\) | 1.91719e13 | + | 2.21255e13i | 0.429332 | + | 0.495475i | ||||
\(538\) | 7.55394e12 | + | 5.25388e13i | 0.167595 | + | 1.16565i | ||||
\(539\) | −4.98815e12 | − | 2.27801e12i | −0.109647 | − | 0.0500740i | ||||
\(540\) | −1.36055e13 | − | 4.63359e13i | −0.296309 | − | 1.00913i | ||||
\(541\) | 6.11580e13 | − | 1.79576e13i | 1.31967 | − | 0.387491i | 0.455299 | − | 0.890339i | \(-0.349532\pi\) |
0.864375 | + | 0.502847i | \(0.167714\pi\) | |||||||
\(542\) | −2.07797e13 | + | 4.55011e13i | −0.444265 | + | 0.972805i | ||||
\(543\) | −9.76474e13 | + | 1.40396e13i | −2.06853 | + | 0.297409i | ||||
\(544\) | 5.72212e13 | − | 4.95824e13i | 1.20105 | − | 1.04072i | ||||
\(545\) | −3.61103e12 | − | 7.90705e12i | −0.0751015 | − | 0.164449i | ||||
\(546\) | 2.61452e13 | + | 4.06827e13i | 0.538801 | + | 0.838391i | ||||
\(547\) | 1.17466e13 | − | 8.16996e13i | 0.239870 | − | 1.66834i | −0.412898 | − | 0.910777i | \(-0.635483\pi\) |
0.652768 | − | 0.757558i | \(-0.273608\pi\) | |||||||
\(548\) | 3.47944e13 | − | 5.41411e13i | 0.704055 | − | 1.09553i | ||||
\(549\) | −5.99615e13 | − | 5.19570e13i | −1.20229 | − | 1.04179i | ||||
\(550\) | −2.81818e12 | + | 9.59785e12i | −0.0559959 | + | 0.190704i | ||||
\(551\) | 1.81585e13i | 0.357538i | ||||||||
\(552\) | −7.85242e13 | + | 1.71589e14i | −1.53217 | + | 3.34807i | ||||
\(553\) | −6.82235e12 | −0.131919 | ||||||||
\(554\) | 3.53143e13 | + | 1.03692e13i | 0.676709 | + | 0.198700i | ||||
\(555\) | −3.53702e12 | + | 4.08193e12i | −0.0671695 | + | 0.0775177i | ||||
\(556\) | 1.25239e13 | + | 8.04865e12i | 0.235704 | + | 0.151478i | ||||
\(557\) | 2.13581e13 | + | 3.07083e12i | 0.398369 | + | 0.0572769i | 0.338588 | − | 0.940935i | \(-0.390051\pi\) |
0.0597811 | + | 0.998212i | \(0.480960\pi\) | |||||||
\(558\) | −2.99870e13 | + | 1.92715e13i | −0.554323 | + | 0.356242i | ||||
\(559\) | 1.19702e14 | − | 5.46662e13i | 2.19302 | − | 1.00152i | ||||
\(560\) | 4.13681e12 | + | 4.77413e12i | 0.0751148 | + | 0.0866871i | ||||
\(561\) | −3.01154e12 | − | 2.09458e13i | −0.0541970 | − | 0.376948i | ||||
\(562\) | 1.29011e14 | + | 5.89172e13i | 2.30114 | + | 1.05090i | ||||
\(563\) | 2.70847e13 | + | 9.22419e13i | 0.478830 | + | 1.63075i | 0.745175 | + | 0.666869i | \(0.232366\pi\) |
−0.266345 | + | 0.963878i | \(0.585816\pi\) | |||||||
\(564\) | −9.57906e13 | + | 2.81267e13i | −1.67852 | + | 0.492859i | ||||
\(565\) | 8.38545e12 | − | 1.83616e13i | 0.145641 | − | 0.318910i | ||||
\(566\) | −1.54024e14 | + | 2.21453e13i | −2.65159 | + | 0.381242i | ||||
\(567\) | 4.39905e12 | − | 3.81180e12i | 0.0750661 | − | 0.0650451i | ||||
\(568\) | −8.05768e12 | − | 1.76439e13i | −0.136291 | − | 0.298436i | ||||
\(569\) | 4.48340e13 | + | 6.97631e13i | 0.751703 | + | 1.16967i | 0.980561 | + | 0.196213i | \(0.0628645\pi\) |
−0.228858 | + | 0.973460i | \(0.573499\pi\) | |||||||
\(570\) | −1.29164e13 | + | 8.98356e13i | −0.214668 | + | 1.49305i | ||||
\(571\) | −2.62049e13 | + | 4.07756e13i | −0.431720 | + | 0.671769i | −0.987150 | − | 0.159794i | \(-0.948917\pi\) |
0.555430 | + | 0.831563i | \(0.312553\pi\) | |||||||
\(572\) | 2.16803e13 | + | 1.87861e13i | 0.354066 | + | 0.306800i | ||||
\(573\) | 3.90047e13 | − | 1.32838e14i | 0.631457 | − | 2.15054i | ||||
\(574\) | − | 3.74585e13i | − | 0.601161i | ||||||
\(575\) | 3.63934e13 | − | 4.19341e13i | 0.579007 | − | 0.667156i | ||||
\(576\) | −1.53338e13 | −0.241844 | ||||||||
\(577\) | −8.85267e13 | − | 2.59938e13i | −1.38419 | − | 0.406435i | −0.496964 | − | 0.867771i | \(-0.665552\pi\) |
−0.887225 | + | 0.461337i | \(0.847370\pi\) | |||||||
\(578\) | 1.71796e14 | − | 1.98263e14i | 2.66301 | − | 3.07328i | ||||
\(579\) | 1.49178e13 | + | 9.58708e12i | 0.229251 | + | 0.147331i | ||||
\(580\) | 1.20303e13 | + | 1.72970e12i | 0.183289 | + | 0.0263530i | ||||
\(581\) | −2.09994e12 | + | 1.34955e12i | −0.0317194 | + | 0.0203849i | ||||
\(582\) | −2.64716e14 | + | 1.20892e14i | −3.96428 | + | 1.81043i | ||||
\(583\) | −6.78675e12 | − | 7.83233e12i | −0.100767 | − | 0.116292i | ||||
\(584\) | 1.13971e11 | + | 7.92685e11i | 0.00167776 | + | 0.0116691i | ||||
\(585\) | 6.53665e13 | + | 2.98519e13i | 0.954060 | + | 0.435705i | ||||
\(586\) | 1.33029e13 | + | 4.53054e13i | 0.192512 | + | 0.655635i | ||||
\(587\) | −8.75890e13 | + | 2.57185e13i | −1.25678 | + | 0.369024i | −0.841295 | − | 0.540576i | \(-0.818206\pi\) |
−0.415485 | + | 0.909600i | \(0.636388\pi\) | |||||||
\(588\) | 1.04784e14 | − | 2.29445e14i | 1.49076 | − | 3.26431i | ||||
\(589\) | 2.06698e13 | − | 2.97187e12i | 0.291582 | − | 0.0419231i | ||||
\(590\) | −1.05741e13 | + | 9.16251e12i | −0.147905 | + | 0.128161i | ||||
\(591\) | 2.55695e13 | + | 5.59893e13i | 0.354637 | + | 0.776547i | ||||
\(592\) | −1.20168e13 | − | 1.86985e13i | −0.165265 | − | 0.257157i | ||||
\(593\) | −3.97869e12 | + | 2.76724e13i | −0.0542584 | + | 0.377375i | 0.944541 | + | 0.328393i | \(0.106507\pi\) |
−0.998800 | + | 0.0489825i | \(0.984402\pi\) | |||||||
\(594\) | 1.24750e13 | − | 1.94115e13i | 0.168697 | − | 0.262498i | ||||
\(595\) | 6.82932e12 | + | 5.91764e12i | 0.0915783 | + | 0.0793531i | ||||
\(596\) | −4.09612e13 | + | 1.39501e14i | −0.544680 | + | 1.85501i | ||||
\(597\) | − | 2.06072e14i | − | 2.71736i | ||||||
\(598\) | −9.57722e13 | − | 2.10146e14i | −1.25237 | − | 2.74799i | ||||
\(599\) | 4.55768e13 | 0.591030 | 0.295515 | − | 0.955338i | \(-0.404509\pi\) | ||||
0.295515 | + | 0.955338i | \(0.404509\pi\) | |||||||
\(600\) | −2.42676e14 | − | 7.12560e13i | −3.12083 | − | 0.916358i | ||||
\(601\) | −2.72488e13 | + | 3.14468e13i | −0.347516 | + | 0.401055i | −0.902419 | − | 0.430861i | \(-0.858210\pi\) |
0.554903 | + | 0.831915i | \(0.312756\pi\) | |||||||
\(602\) | 3.35773e13 | + | 2.15788e13i | 0.424681 | + | 0.272926i | ||||
\(603\) | 6.00284e13 | + | 8.63078e12i | 0.752957 | + | 0.108259i | ||||
\(604\) | 4.95889e13 | − | 3.18689e13i | 0.616879 | − | 0.396444i | ||||
\(605\) | −2.47835e13 | + | 1.13183e13i | −0.305764 | + | 0.139638i | ||||
\(606\) | 4.73550e13 | + | 5.46506e13i | 0.579432 | + | 0.668701i | ||||
\(607\) | −1.25050e13 | − | 8.69744e13i | −0.151754 | − | 1.05548i | −0.913278 | − | 0.407338i | \(-0.866457\pi\) |
0.761523 | − | 0.648138i | \(-0.224452\pi\) | |||||||
\(608\) | −9.73172e13 | − | 4.44433e13i | −1.17131 | − | 0.534919i | ||||
\(609\) | 1.90171e12 | + | 6.47664e12i | 0.0227017 | + | 0.0773149i | ||||
\(610\) | 4.32923e13 | − | 1.27118e13i | 0.512580 | − | 0.150507i | ||||
\(611\) | 2.78995e13 | − | 6.10914e13i | 0.327635 | − | 0.717421i | ||||
\(612\) | 6.22426e14 | − | 8.94914e13i | 7.24988 | − | 1.04238i | ||||
\(613\) | −3.26017e13 | + | 2.82495e13i | −0.376649 | + | 0.326369i | −0.822528 | − | 0.568725i | \(-0.807437\pi\) |
0.445878 | + | 0.895094i | \(0.352891\pi\) | |||||||
\(614\) | −6.21285e13 | − | 1.36042e14i | −0.711949 | − | 1.55895i | ||||
\(615\) | −4.65814e13 | − | 7.24820e13i | −0.529464 | − | 0.823863i | ||||
\(616\) | −6.80663e11 | + | 4.73412e12i | −0.00767412 | + | 0.0533747i | ||||
\(617\) | 2.29723e13 | − | 3.57455e13i | 0.256908 | − | 0.399757i | −0.688709 | − | 0.725037i | \(-0.741822\pi\) |
0.945618 | + | 0.325281i | \(0.105459\pi\) | |||||||
\(618\) | 3.19186e14 | + | 2.76576e14i | 3.54080 | + | 3.06812i | ||||
\(619\) | −3.93652e13 | + | 1.34066e14i | −0.433171 | + | 1.47524i | 0.397043 | + | 0.917800i | \(0.370036\pi\) |
−0.830214 | + | 0.557445i | \(0.811782\pi\) | |||||||
\(620\) | − | 1.39771e13i | − | 0.152567i | ||||||
\(621\) | −1.07802e14 | + | 6.91613e13i | −1.16726 | + | 0.748867i | ||||
\(622\) | −1.96036e14 | −2.10564 | ||||||||
\(623\) | −1.19319e13 | − | 3.50353e12i | −0.127136 | − | 0.0373306i | ||||
\(624\) | −2.99763e14 | + | 3.45945e14i | −3.16851 | + | 3.65665i | ||||
\(625\) | 5.32489e13 | + | 3.42210e13i | 0.558355 | + | 0.358833i | ||||
\(626\) | −4.82358e13 | − | 6.93526e12i | −0.501762 | − | 0.0721425i | ||||
\(627\) | −2.51542e13 | + | 1.61656e13i | −0.259581 | + | 0.166823i | ||||
\(628\) | −3.18106e14 | + | 1.45274e14i | −3.25667 | + | 1.48727i | ||||
\(629\) | −2.08215e13 | − | 2.40293e13i | −0.211475 | − | 0.244055i | ||||
\(630\) | 3.10186e12 | + | 2.15739e13i | 0.0312550 | + | 0.217383i | ||||
\(631\) | 9.52149e13 | + | 4.34832e13i | 0.951827 | + | 0.434685i | 0.829936 | − | 0.557859i | \(-0.188377\pi\) |
0.121891 | + | 0.992543i | \(0.461104\pi\) | |||||||
\(632\) | −4.18109e13 | − | 1.42395e14i | −0.414672 | − | 1.41224i | ||||
\(633\) | −1.66565e14 | + | 4.89080e13i | −1.63895 | + | 0.481240i | ||||
\(634\) | −7.72307e13 | + | 1.69112e14i | −0.753952 | + | 1.65092i | ||||
\(635\) | −3.89962e13 | + | 5.60681e12i | −0.377706 | + | 0.0543059i | ||||
\(636\) | 3.60272e14 | − | 3.12177e14i | 3.46214 | − | 2.99996i | ||||
\(637\) | 7.04901e13 | + | 1.54352e14i | 0.672096 | + | 1.47168i | ||||
\(638\) | 3.13967e12 | + | 4.88541e12i | 0.0297016 | + | 0.0462166i | ||||
\(639\) | 4.14438e12 | − | 2.88248e13i | 0.0389005 | − | 0.270559i | ||||
\(640\) | 2.21481e13 | − | 3.44632e13i | 0.206271 | − | 0.320963i | ||||
\(641\) | −7.57894e13 | − | 6.56719e13i | −0.700355 | − | 0.606861i | 0.230143 | − | 0.973157i | \(-0.426081\pi\) |
−0.930499 | + | 0.366295i | \(0.880626\pi\) | |||||||
\(642\) | 2.52136e12 | − | 8.58697e12i | 0.0231185 | − | 0.0787345i | ||||
\(643\) | 1.49447e14i | 1.35967i | 0.733367 | + | 0.679833i | \(0.237948\pi\) | ||||
−0.733367 | + | 0.679833i | \(0.762052\pi\) | |||||||
\(644\) | 2.61430e13 | − | 4.06096e13i | 0.236008 | − | 0.366606i | ||||
\(645\) | 9.18063e13 | 0.822382 | ||||||||
\(646\) | −5.12635e14 | − | 1.50523e14i | −4.55665 | − | 1.33795i | ||||
\(647\) | −7.81434e13 | + | 9.01823e13i | −0.689241 | + | 0.795426i | −0.987257 | − | 0.159134i | \(-0.949130\pi\) |
0.298016 | + | 0.954561i | \(0.403675\pi\) | |||||||
\(648\) | 1.06519e14 | + | 6.84556e13i | 0.932292 | + | 0.599147i | ||||
\(649\) | −4.56263e12 | − | 6.56007e11i | −0.0396270 | − | 0.00569751i | ||||
\(650\) | 2.60394e14 | − | 1.67345e14i | 2.24422 | − | 1.44227i | ||||
\(651\) | 7.06110e12 | − | 3.22470e12i | 0.0603904 | − | 0.0275794i | ||||
\(652\) | 2.44381e14 | + | 2.82031e14i | 2.07410 | + | 2.39364i | ||||
\(653\) | −2.22632e13 | − | 1.54844e14i | −0.187508 | − | 1.30415i | −0.838432 | − | 0.545007i | \(-0.816527\pi\) |
0.650923 | − | 0.759143i | \(-0.274382\pi\) | |||||||
\(654\) | 1.73784e14 | + | 7.93643e13i | 1.45251 | + | 0.663340i | ||||
\(655\) | −1.18647e13 | − | 4.04075e13i | −0.0984126 | − | 0.335162i | ||||
\(656\) | 3.40202e14 | − | 9.98925e13i | 2.80039 | − | 0.822268i | ||||
\(657\) | −4.99468e11 | + | 1.09368e12i | −0.00408020 | + | 0.00893438i | ||||
\(658\) | 2.01629e13 | − | 2.89899e12i | 0.163465 | − | 0.0235027i | ||||
\(659\) | 2.75403e13 | − | 2.38638e13i | 0.221586 | − | 0.192005i | −0.536993 | − | 0.843587i | \(-0.680440\pi\) |
0.758578 | + | 0.651582i | \(0.225894\pi\) | |||||||
\(660\) | 8.31391e12 | + | 1.82049e13i | 0.0663874 | + | 0.145368i | ||||
\(661\) | 1.20938e14 | + | 1.88183e14i | 0.958417 | + | 1.49133i | 0.868688 | + | 0.495359i | \(0.164964\pi\) |
0.0897283 | + | 0.995966i | \(0.471400\pi\) | |||||||
\(662\) | 2.33197e13 | − | 1.62192e14i | 0.183414 | − | 1.27568i | ||||
\(663\) | −3.54014e14 | + | 5.50857e14i | −2.76346 | + | 4.30002i | ||||
\(664\) | −4.10370e13 | − | 3.55588e13i | −0.317933 | − | 0.275490i | ||||
\(665\) | 3.59734e12 | − | 1.22514e13i | 0.0276614 | − | 0.0942059i | ||||
\(666\) | − | 7.66894e13i | − | 0.585281i | ||||||
\(667\) | −4.56259e12 | − | 3.19103e13i | −0.0345607 | − | 0.241714i | ||||
\(668\) | 2.97151e14 | 2.23406 | ||||||||
\(669\) | 2.89069e14 | + | 8.48782e13i | 2.15710 | + | 0.633382i | ||||
\(670\) | −2.25852e13 | + | 2.60647e13i | −0.167282 | + | 0.193054i | ||||
\(671\) | 1.25051e13 | + | 8.03656e12i | 0.0919339 | + | 0.0590823i | ||||
\(672\) | −3.93648e13 | − | 5.65980e12i | −0.287251 | − | 0.0413004i | ||||
\(673\) | −1.54513e13 | + | 9.92996e12i | −0.111915 | + | 0.0719237i | −0.595401 | − | 0.803429i | \(-0.703007\pi\) |
0.483486 | + | 0.875352i | \(0.339371\pi\) | |||||||
\(674\) | −5.76864e13 | + | 2.63445e13i | −0.414738 | + | 0.189405i | ||||
\(675\) | −1.12418e14 | − | 1.29737e14i | −0.802262 | − | 0.925860i | ||||
\(676\) | −8.17175e13 | − | 5.68358e14i | −0.578871 | − | 4.02613i | ||||
\(677\) | −2.30983e13 | − | 1.05486e13i | −0.162419 | − | 0.0741742i | 0.332547 | − | 0.943087i | \(-0.392092\pi\) |
−0.494966 | + | 0.868913i | \(0.664819\pi\) | |||||||
\(678\) | 1.24990e14 | + | 4.25677e14i | 0.872423 | + | 2.97120i | ||||
\(679\) | 3.92834e13 | − | 1.15346e13i | 0.272182 | − | 0.0799199i | ||||
\(680\) | −8.16583e13 | + | 1.78807e14i | −0.561637 | + | 1.22981i | ||||
\(681\) | −5.89692e13 | + | 8.47849e12i | −0.402615 | + | 0.0578873i | ||||
\(682\) | 5.04721e12 | − | 4.37343e12i | 0.0342082 | − | 0.0296415i | ||||
\(683\) | 6.16316e13 | + | 1.34954e14i | 0.414667 | + | 0.907995i | 0.995570 | + | 0.0940220i | \(0.0299724\pi\) |
−0.580903 | + | 0.813973i | \(0.697300\pi\) | |||||||
\(684\) | −4.80380e14 | − | 7.47486e14i | −3.20852 | − | 4.99255i | ||||
\(685\) | −4.29853e12 | + | 2.98969e13i | −0.0285015 | + | 0.198232i | ||||
\(686\) | −5.67659e13 | + | 8.83295e13i | −0.373652 | + | 0.581414i | ||||
\(687\) | −1.69444e14 | − | 1.46824e14i | −1.10724 | − | 0.959431i | ||||
\(688\) | −1.06439e14 | + | 3.62499e14i | −0.690493 | + | 2.35160i | ||||
\(689\) | 3.20690e14i | 2.06533i | ||||||||
\(690\) | 1.25742e11 | − | 1.61115e14i | 0.000803960 | − | 1.03013i | ||||
\(691\) | 1.88258e14 | 1.19499 | 0.597494 | − | 0.801874i | \(-0.296163\pi\) | ||||
0.597494 | + | 0.801874i | \(0.296163\pi\) | |||||||
\(692\) | 9.40332e13 | + | 2.76106e13i | 0.592585 | + | 0.173999i | ||||
\(693\) | −4.70233e12 | + | 5.42678e12i | −0.0294203 | + | 0.0339528i | ||||
\(694\) | 2.13434e13 | + | 1.37165e13i | 0.132576 | + | 0.0852015i | ||||
\(695\) | −6.91577e12 | − | 9.94338e11i | −0.0426498 | − | 0.00613211i | ||||
\(696\) | −1.23525e14 | + | 7.93844e13i | −0.756323 | + | 0.486059i | ||||
\(697\) | 4.61365e14 | − | 2.10698e14i | 2.80466 | − | 1.28085i | ||||
\(698\) | −2.92342e13 | − | 3.37380e13i | −0.176447 | − | 0.203630i | ||||
\(699\) | −5.13481e13 | − | 3.57134e14i | −0.307708 | − | 2.14016i | ||||
\(700\) | 5.88830e13 | + | 2.68910e13i | 0.350348 | + | 0.159999i | ||||
\(701\) | −4.60981e13 | − | 1.56996e14i | −0.272328 | − | 0.927464i | −0.976152 | − | 0.217090i | \(-0.930344\pi\) |
0.703824 | − | 0.710375i | \(-0.251475\pi\) | |||||||
\(702\) | −6.85087e14 | + | 2.01160e14i | −4.01846 | + | 1.17993i | ||||
\(703\) | −1.86634e13 | + | 4.08671e13i | −0.108696 | + | 0.238011i | ||||
\(704\) | 2.84362e12 | − | 4.08851e11i | 0.0164441 | − | 0.00236430i | ||||
\(705\) | 3.54102e13 | − | 3.06831e13i | 0.203321 | − | 0.176179i | ||||
\(706\) | −2.32884e14 | − | 5.09944e14i | −1.32775 | − | 2.90736i | ||||
\(707\) | −5.50020e12 | − | 8.55848e12i | −0.0311374 | − | 0.0484507i | ||||
\(708\) | 3.01750e13 | − | 2.09872e14i | 0.169622 | − | 1.17974i | ||||
\(709\) | 9.92931e13 | − | 1.54503e14i | 0.554227 | − | 0.862395i | −0.445227 | − | 0.895418i | \(-0.646877\pi\) |
0.999455 | + | 0.0330229i | \(0.0105134\pi\) | |||||||
\(710\) | 1.25159e13 | + | 1.08451e13i | 0.0693698 | + | 0.0601093i | ||||
\(711\) | 6.27728e13 | − | 2.13785e14i | 0.345481 | − | 1.17660i | ||||
\(712\) | − | 2.70512e14i | − | 1.47838i | ||||||
\(713\) | −3.55767e13 | + | 1.04161e13i | −0.193071 | + | 0.0565272i | ||||
\(714\) | −1.98607e14 | −1.07029 | ||||||||
\(715\) | −1.29181e13 | − | 3.79309e12i | −0.0691302 | − | 0.0202985i | ||||
\(716\) | 1.06739e14 | − | 1.23183e14i | 0.567229 | − | 0.654617i | ||||
\(717\) | −9.22591e13 | − | 5.92913e13i | −0.486871 | − | 0.312893i | ||||
\(718\) | 3.18746e13 | + | 4.58287e12i | 0.167041 | + | 0.0240168i | ||||
\(719\) | 2.34555e13 | − | 1.50740e13i | 0.122068 | − | 0.0784482i | −0.478182 | − | 0.878261i | \(-0.658704\pi\) |
0.600250 | + | 0.799812i | \(0.295068\pi\) | |||||||
\(720\) | −1.87665e14 | + | 8.57037e13i | −0.969886 | + | 0.442932i | ||||
\(721\) | −3.89105e13 | − | 4.49052e13i | −0.199706 | − | 0.230473i | ||||
\(722\) | 5.73308e13 | + | 3.98745e14i | 0.292215 | + | 2.03240i | ||||
\(723\) | −2.40231e14 | − | 1.09710e14i | −1.21601 | − | 0.555335i | ||||
\(724\) | 1.54739e14 | + | 5.26992e14i | 0.777870 | + | 2.64918i | ||||
\(725\) | 4.14545e13 | − | 1.21721e13i | 0.206958 | − | 0.0607682i | ||||
\(726\) | 2.48756e14 | − | 5.44700e14i | 1.23336 | − | 2.70069i | ||||
\(727\) | −6.11407e12 | + | 8.79071e11i | −0.0301064 | + | 0.00432864i | −0.157352 | − | 0.987543i | \(-0.550296\pi\) |
0.127245 | + | 0.991871i | \(0.459386\pi\) | |||||||
\(728\) | 1.11849e14 | − | 9.69178e13i | 0.546985 | − | 0.473965i | ||||
\(729\) | −1.20400e14 | − | 2.63639e14i | −0.584775 | − | 1.28048i | ||||
\(730\) | −3.69665e11 | − | 5.75211e11i | −0.00178318 | − | 0.00277468i | ||||
\(731\) | −7.69126e13 | + | 5.34939e14i | −0.368477 | + | 2.56282i | ||||
\(732\) | −3.69666e14 | + | 5.75212e14i | −1.75895 | + | 2.73698i | ||||
\(733\) | 8.46008e13 | + | 7.33070e13i | 0.399811 | + | 0.346438i | 0.831441 | − | 0.555612i | \(-0.187516\pi\) |
−0.431631 | + | 0.902050i | \(0.642062\pi\) | |||||||
\(734\) | −7.66802e13 | + | 2.61149e14i | −0.359917 | + | 1.22577i | ||||
\(735\) | 1.18381e14i | 0.551881i | ||||||||
\(736\) | 1.82184e14 | + | 5.36485e13i | 0.843570 | + | 0.248410i | ||||
\(737\) | −1.13623e13 | −0.0522552 | ||||||||
\(738\) | 1.17380e15 | + | 3.44657e14i | 5.36180 | + | 1.57437i | ||||
\(739\) | −1.02690e14 | + | 1.18510e14i | −0.465913 | + | 0.537692i | −0.939270 | − | 0.343178i | \(-0.888496\pi\) |
0.473357 | + | 0.880870i | \(0.343042\pi\) | |||||||
\(740\) | 2.52973e13 | + | 1.62576e13i | 0.114003 | + | 0.0732651i | ||||
\(741\) | 9.15827e14 | + | 1.31676e14i | 4.09942 | + | 0.589408i | ||||
\(742\) | −8.18267e13 | + | 5.25868e13i | −0.363811 | + | 0.233807i | ||||
\(743\) | −2.50844e14 | + | 1.14557e14i | −1.10780 | + | 0.505913i | −0.883416 | − | 0.468589i | \(-0.844763\pi\) |
−0.224379 | + | 0.974502i | \(0.572035\pi\) | |||||||
\(744\) | 1.10579e14 | + | 1.27616e14i | 0.485076 | + | 0.559808i | ||||
\(745\) | −9.71080e12 | − | 6.75401e13i | −0.0423130 | − | 0.294293i | ||||
\(746\) | −2.64070e14 | − | 1.20597e14i | −1.14294 | − | 0.521964i | ||||
\(747\) | −2.29677e13 | − | 7.82207e13i | −0.0987448 | − | 0.336294i | ||||
\(748\) | −1.13042e14 | + | 3.31921e13i | −0.482761 | + | 0.141751i | ||||
\(749\) | −5.23038e11 | + | 1.14529e12i | −0.00221883 | + | 0.00485856i | ||||
\(750\) | 4.55712e14 | − | 6.55214e13i | 1.92037 | − | 0.276107i | ||||
\(751\) | 2.71635e14 | − | 2.35373e14i | 1.13707 | − | 0.985273i | 0.137080 | − | 0.990560i | \(-0.456228\pi\) |
0.999986 | + | 0.00528651i | \(0.00168276\pi\) | |||||||
\(752\) | 8.00986e13 | + | 1.75391e14i | 0.333070 | + | 0.729322i | ||||
\(753\) | −1.61467e14 | − | 2.51248e14i | −0.666975 | − | 1.03783i | ||||
\(754\) | 2.55739e13 | − | 1.77870e14i | 0.104940 | − | 0.729873i | ||||
\(755\) | −1.49567e13 | + | 2.32731e13i | −0.0609679 | + | 0.0948679i | ||||
\(756\) | −1.12850e14 | − | 9.77850e13i | −0.456975 | − | 0.395971i | ||||
\(757\) | −2.82171e13 | + | 9.60987e13i | −0.113510 | + | 0.386579i | −0.996577 | − | 0.0826673i | \(-0.973656\pi\) |
0.883067 | + | 0.469246i | \(0.155474\pi\) | |||||||
\(758\) | − | 5.02195e14i | − | 2.00690i | ||||||
\(759\) | 4.01421e13 | − | 3.47285e13i | 0.159364 | − | 0.137872i | ||||
\(760\) | 2.77756e14 | 1.09546 | ||||||||
\(761\) | −2.96626e14 | − | 8.70971e13i | −1.16221 | − | 0.341256i | −0.356920 | − | 0.934135i | \(-0.616173\pi\) |
−0.805292 | + | 0.592879i | \(0.797991\pi\) | |||||||
\(762\) | 5.67034e14 | − | 6.54392e14i | 2.20716 | − | 2.54720i | ||||
\(763\) | −2.26112e13 | − | 1.45313e13i | −0.0874380 | − | 0.0561930i | ||||
\(764\) | −7.62949e14 | − | 1.09696e14i | −2.93109 | − | 0.421427i | ||||
\(765\) | −2.48272e14 | + | 1.59555e14i | −0.947589 | + | 0.608979i | ||||
\(766\) | −6.73677e14 | + | 3.07658e14i | −2.55451 | + | 1.16661i | ||||
\(767\) | 9.34070e13 | + | 1.07797e14i | 0.351887 | + | 0.406099i | ||||
\(768\) | 1.19668e14 | + | 8.32307e14i | 0.447890 | + | 3.11514i | ||||
\(769\) | 1.95889e14 | + | 8.94595e13i | 0.728414 | + | 0.332655i | 0.744870 | − | 0.667209i | \(-0.232511\pi\) |
−0.0164567 | + | 0.999865i | \(0.505239\pi\) | |||||||
\(770\) | −1.15047e12 | − | 3.91814e12i | −0.00425032 | − | 0.0144753i | ||||
\(771\) | −4.25450e14 | + | 1.24923e14i | −1.56163 | + | 0.458535i | ||||
\(772\) | 4.10127e13 | − | 8.98053e13i | 0.149566 | − | 0.327503i | ||||
\(773\) | −5.19464e14 | + | 7.46876e13i | −1.88217 | + | 0.270615i | −0.985190 | − | 0.171465i | \(-0.945150\pi\) |
−0.896976 | + | 0.442079i | \(0.854241\pi\) | |||||||
\(774\) | −9.85139e14 | + | 8.53628e14i | −3.54644 | + | 3.07301i | ||||
\(775\) | −2.06401e13 | − | 4.51954e13i | −0.0738248 | − | 0.161654i | ||||
\(776\) | 4.81498e14 | + | 7.49225e14i | 1.71114 | + | 2.66259i | ||||
\(777\) | −2.37676e12 | + | 1.65307e13i | −0.00839229 | + | 0.0583697i | ||||
\(778\) | 3.08352e13 | − | 4.79804e13i | 0.108180 | − | 0.168332i | ||||
\(779\) | −5.41628e14 | − | 4.69324e14i | −1.88805 | − | 1.63601i | ||||
\(780\) | 1.74475e14 | − | 5.94206e14i | 0.604310 | − | 2.05809i | ||||
\(781\) | 5.45603e12i | 0.0187768i | ||||||||
\(782\) | 9.38684e14 | + | 1.35710e14i | 3.20986 | + | 0.464065i | ||||
\(783\) | −9.96618e13 | −0.338626 | ||||||||
\(784\) | −4.67429e14 | − | 1.37250e14i | −1.57810 | − | 0.463373i | ||||
\(785\) | 1.07479e14 | − | 1.24038e14i | 0.360559 | − | 0.416108i | ||||
\(786\) | 7.78648e14 | + | 5.00407e14i | 2.59554 | + | 1.66805i | ||||
\(787\) | 2.95139e14 | + | 4.24346e13i | 0.977581 | + | 0.140555i | 0.612543 | − | 0.790437i | \(-0.290147\pi\) |
0.365039 | + | 0.930992i | \(0.381056\pi\) | |||||||
\(788\) | 2.88287e14 | − | 1.85271e14i | 0.948843 | − | 0.609784i | ||||
\(789\) | 2.79708e14 | − | 1.27738e14i | 0.914787 | − | 0.417769i | ||||
\(790\) | 8.29771e13 | + | 9.57606e13i | 0.269664 | + | 0.311209i | ||||
\(791\) | −8.88263e12 | − | 6.17800e13i | −0.0286853 | − | 0.199511i | ||||
\(792\) | −1.42085e14 | − | 6.48881e13i | −0.455956 | − | 0.208228i | ||||
\(793\) | −1.29590e14 | − | 4.41343e14i | −0.413243 | − | 1.40738i | ||||
\(794\) | 3.59787e14 | − | 1.05643e14i | 1.14010 | − | 0.334764i | ||||
\(795\) | −9.29402e13 | + | 2.03511e14i | −0.292663 | + | 0.640843i | ||||
\(796\) | −1.13562e15 | + | 1.63278e14i | −3.55360 | + | 0.510931i | ||||
\(797\) | −1.30803e14 | + | 1.13341e14i | −0.406748 | + | 0.352449i | −0.834078 | − | 0.551647i | \(-0.814000\pi\) |
0.427330 | + | 0.904096i | \(0.359454\pi\) | |||||||
\(798\) | 1.16579e14 | + | 2.55273e14i | 0.360252 | + | 0.788842i | ||||
\(799\) | 1.49119e14 | + | 2.32034e14i | 0.457931 | + | 0.712555i | ||||
\(800\) | −3.62262e13 | + | 2.51959e14i | −0.110554 | + | 0.768917i | ||||
\(801\) | 2.19573e14 | − | 3.41662e14i | 0.665910 | − | 1.03618i | ||||
\(802\) | −2.68571e14 | − | 2.32718e14i | −0.809445 | − | 0.701388i | ||||
\(803\) | 6.34643e10 | − | 2.16140e11i | 0.000190087 | − | 0.000647376i | ||||
\(804\) | − | 5.22644e14i | − | 1.55570i | ||||||
\(805\) | −3.24332e12 | + | 2.24335e13i | −0.00959425 | + | 0.0663617i | ||||
\(806\) | −2.06655e14 | −0.607534 | ||||||||
\(807\) | 3.62215e14 | + | 1.06356e14i | 1.05827 | + | 0.310738i | ||||
\(808\) | 1.44923e14 | − | 1.67250e14i | 0.420805 | − | 0.485635i | ||||
\(809\) | 1.76971e14 | + | 1.13732e14i | 0.510692 | + | 0.328202i | 0.770480 | − | 0.637464i | \(-0.220017\pi\) |
−0.259789 | + | 0.965666i | \(0.583653\pi\) | |||||||
\(810\) | −1.07007e14 | − | 1.53853e13i | −0.306894 | − | 0.0441247i | ||||
\(811\) | −1.45231e14 | + | 9.33342e13i | −0.413956 | + | 0.266034i | −0.731000 | − | 0.682377i | \(-0.760946\pi\) |
0.317044 | + | 0.948411i | \(0.397310\pi\) | |||||||
\(812\) | 3.41847e13 | − | 1.56117e13i | 0.0968394 | − | 0.0442251i | ||||
\(813\) | 2.32973e14 | + | 2.68865e14i | 0.655924 | + | 0.756976i | ||||
\(814\) | 2.04481e12 | + | 1.42219e13i | 0.00572177 | + | 0.0397958i | ||||
\(815\) | −1.59314e14 | − | 7.27561e13i | −0.443063 | − | 0.202340i | ||||
\(816\) | −5.29635e14 | − | 1.80377e15i | −1.46395 | − | 4.98575i | ||||
\(817\) | 7.32713e14 | − | 2.15144e14i | 2.01291 | − | 0.591043i | ||||
\(818\) | −1.50939e14 | + | 3.30510e14i | −0.412131 | + | 0.902440i | ||||
\(819\) | 2.19935e14 | − | 3.16218e13i | 0.596862 | − | 0.0858158i | ||||
\(820\) | −3.62527e14 | + | 3.14131e14i | −0.977847 | + | 0.847309i | ||||
\(821\) | −8.27021e13 | − | 1.81092e14i | −0.221718 | − | 0.485495i | 0.765785 | − | 0.643097i | \(-0.222351\pi\) |
−0.987503 | + | 0.157602i | \(0.949624\pi\) | |||||||
\(822\) | −3.58900e14 | − | 5.58459e14i | −0.956343 | − | 1.48810i | ||||
\(823\) | −2.72071e13 | + | 1.89230e14i | −0.0720582 | + | 0.501175i | 0.921547 | + | 0.388266i | \(0.126926\pi\) |
−0.993605 | + | 0.112909i | \(0.963983\pi\) | |||||||
\(824\) | 6.98789e14 | − | 1.08734e15i | 1.83954 | − | 2.86238i | ||||
\(825\) | 5.37664e13 | + | 4.65888e13i | 0.140683 | + | 0.121902i | ||||
\(826\) | −1.21885e13 | + | 4.15102e13i | −0.0316993 | + | 0.107958i | ||||
\(827\) | − | 4.93688e14i | − | 1.27622i | −0.769945 | − | 0.638110i | \(-0.779717\pi\) | ||
0.769945 | − | 0.638110i | \(-0.220283\pi\) | |||||||
\(828\) | 1.03200e15 | + | 1.19287e15i | 2.65171 | + | 3.06507i | ||||
\(829\) | −7.48622e13 | −0.191201 | −0.0956005 | − | 0.995420i | \(-0.530477\pi\) | ||||
−0.0956005 | + | 0.995420i | \(0.530477\pi\) | |||||||
\(830\) | 4.44832e13 | + | 1.30615e13i | 0.112929 | + | 0.0331590i | ||||
\(831\) | 1.71419e14 | − | 1.97828e14i | 0.432567 | − | 0.499209i | ||||
\(832\) | −7.47850e13 | − | 4.80614e13i | −0.187585 | − | 0.120554i | ||||
\(833\) | −6.89785e14 | − | 9.91762e13i | −1.71984 | − | 0.247276i | ||||
\(834\) | 1.29183e14 | − | 8.30208e13i | 0.320166 | − | 0.205758i | ||||
\(835\) | −1.26856e14 | + | 5.79333e13i | −0.312521 | + | 0.142724i | ||||
\(836\) | 1.09016e14 | + | 1.25812e14i | 0.266969 | + | 0.308098i | ||||
\(837\) | 1.63109e13 | + | 1.13445e14i | 0.0397055 | + | 0.276158i | ||||
\(838\) | −1.07096e15 | − | 4.89091e14i | −2.59151 | − | 1.18350i | ||||
\(839\) | 1.38288e14 | + | 4.70966e14i | 0.332641 | + | 1.13287i | 0.940774 | + | 0.339035i | \(0.110100\pi\) |
−0.608133 | + | 0.793835i | \(0.708081\pi\) | |||||||
\(840\) | 9.90678e13 | − | 2.90889e13i | 0.236884 | − | 0.0695554i | ||||
\(841\) | −1.64348e14 | + | 3.59873e14i | −0.390648 | + | 0.855400i | ||||
\(842\) | −6.37469e14 | + | 9.16543e13i | −1.50626 | + | 0.216567i | ||||
\(843\) | 7.62322e14 | − | 6.60556e14i | 1.79061 | − | 1.55157i | ||||
\(844\) | 4.01499e14 | + | 8.79159e14i | 0.937501 | + | 2.05284i | ||||
\(845\) | 1.45694e14 | + | 2.26705e14i | 0.338189 | + | 0.526232i | ||||
\(846\) | −9.46777e13 | + | 6.58498e14i | −0.218472 | + | 1.51951i | ||||
\(847\) | −4.55464e13 | + | 7.08715e13i | −0.104481 | + | 0.162575i | ||||
\(848\) | −6.95811e14 | − | 6.02924e14i | −1.58676 | − | 1.37494i | ||||
\(849\) | −3.11796e14 | + | 1.06188e15i | −0.706857 | + | 2.40733i | ||||
\(850\) | 1.27121e15i | 2.86498i | ||||||||
\(851\) | 2.25290e13 | − | 7.65059e13i | 0.0504771 | − | 0.171414i | ||||
\(852\) | −2.50966e14 | −0.559008 | ||||||||
\(853\) | 1.18058e14 | + | 3.46649e13i | 0.261427 | + | 0.0767618i | 0.409819 | − | 0.912167i | \(-0.365592\pi\) |
−0.148393 | + | 0.988929i | \(0.547410\pi\) | |||||||
\(854\) | 9.13620e13 | − | 1.05437e14i | 0.201130 | − | 0.232116i | ||||
\(855\) | 3.50810e14 | + | 2.25452e14i | 0.767789 | + | 0.493428i | ||||
\(856\) | −2.71098e13 | − | 3.89781e12i | −0.0589872 | − | 0.00848108i | ||||
\(857\) | 2.01031e14 | − | 1.29195e14i | 0.434869 | − | 0.279473i | −0.304836 | − | 0.952405i | \(-0.598602\pi\) |
0.739705 | + | 0.672932i | \(0.234965\pi\) | |||||||
\(858\) | 2.69164e14 | − | 1.22923e14i | 0.578868 | − | 0.264360i | ||||
\(859\) | −5.96539e13 | − | 6.88443e13i | −0.127548 | − | 0.147198i | 0.688383 | − | 0.725347i | \(-0.258321\pi\) |
−0.815931 | + | 0.578149i | \(0.803775\pi\) | |||||||
\(860\) | −7.27414e13 | − | 5.05927e14i | −0.154628 | − | 1.07546i | ||||
\(861\) | −2.42335e14 | − | 1.10671e14i | −0.512154 | − | 0.233893i | ||||
\(862\) | 1.77124e14 | + | 6.03230e14i | 0.372170 | + | 1.26750i | ||||
\(863\) | 2.13931e14 | − | 6.28158e13i | 0.446910 | − | 0.131225i | −0.0505310 | − | 0.998722i | \(-0.516091\pi\) |
0.497441 | + | 0.867498i | \(0.334273\pi\) | |||||||
\(864\) | 2.43924e14 | − | 5.34118e14i | 0.506623 | − | 1.10935i | ||||
\(865\) | −4.55266e13 | + | 6.54574e12i | −0.0940124 | + | 0.0135169i | ||||
\(866\) | −5.43926e14 | + | 4.71314e14i | −1.11673 | + | 0.967656i | ||||
\(867\) | −7.75079e14 | − | 1.69719e15i | −1.58216 | − | 3.46445i | ||||
\(868\) | −2.33655e13 | − | 3.63574e13i | −0.0474216 | − | 0.0737894i | ||||
\(869\) | −5.94089e12 | + | 4.13198e13i | −0.0119882 | + | 0.0833795i | ||||
\(870\) | 6.77785e13 | − | 1.05465e14i | 0.135986 | − | 0.211599i | ||||
\(871\) | 2.65716e14 | + | 2.30244e14i | 0.530062 | + | 0.459301i | ||||
\(872\) | 1.64722e14 | − | 5.60992e14i | 0.326715 | − | 1.11269i | ||||
\(873\) | 1.33711e15i | 2.63692i | ||||||||
\(874\) | −3.76563e14 | − | 1.28617e15i | −0.738380 | − | 2.52197i | ||||
\(875\) | −6.47718e13 | −0.126283 | ||||||||
\(876\) | 9.94199e12 | + | 2.91923e12i | 0.0192732 | + | 0.00565911i | ||||
\(877\) | 5.04813e14 | − | 5.82585e14i | 0.973044 | − | 1.12295i | −0.0193453 | − | 0.999813i | \(-0.506158\pi\) |
0.992389 | − | 0.123140i | \(-0.0392963\pi\) | |||||||
\(878\) | −2.81712e14 | − | 1.81045e14i | −0.539923 | − | 0.346988i | ||||
\(879\) | 3.32404e14 | + | 4.77924e13i | 0.633463 | + | 0.0910783i | ||||
\(880\) | 3.25171e13 | − | 2.08974e13i | 0.0616166 | − | 0.0395986i | ||||
\(881\) | 3.49692e14 | − | 1.59699e14i | 0.658880 | − | 0.300900i | −0.0577735 | − | 0.998330i | \(-0.518400\pi\) |
0.716654 | + | 0.697429i | \(0.245673\pi\) | |||||||
\(882\) | −1.10072e15 | − | 1.27030e15i | −2.06222 | − | 2.37993i | ||||
\(883\) | 4.03380e13 | + | 2.80557e14i | 0.0751468 | + | 0.522658i | 0.992274 | + | 0.124063i | \(0.0395927\pi\) |
−0.917127 | + | 0.398594i | \(0.869498\pi\) | |||||||
\(884\) | 3.31617e15 | + | 1.51444e15i | 6.14292 | + | 2.80538i | ||||
\(885\) | 2.80352e13 | + | 9.54791e13i | 0.0516401 | + | 0.175870i | ||||
\(886\) | −4.82898e13 | + | 1.41792e13i | −0.0884477 | + | 0.0259706i | ||||
\(887\) | −3.78995e14 | + | 8.29883e14i | −0.690264 | + | 1.51147i | 0.161125 | + | 0.986934i | \(0.448488\pi\) |
−0.851390 | + | 0.524534i | \(0.824240\pi\) | |||||||
\(888\) | −3.59593e14 | + | 5.17016e13i | −0.651248 | + | 0.0936353i | ||||
\(889\) | −9.20642e13 | + | 7.97741e13i | −0.165799 | + | 0.143666i | ||||
\(890\) | 9.59458e13 | + | 2.10092e14i | 0.171821 | + | 0.376235i | ||||
\(891\) | −1.92556e13 | − | 2.99623e13i | −0.0342901 | − | 0.0533565i | ||||
\(892\) | 2.38709e14 | − | 1.66026e15i | 0.422712 | − | 2.94002i | ||||
\(893\) | 2.10707e14 | − | 3.27867e14i | 0.371041 | − | 0.577351i | ||||
\(894\) | 1.13338e15 | + | 9.82082e14i | 1.98467 | + | 1.71973i | ||||
\(895\) | −2.15517e13 | + | 7.33982e13i | −0.0375289 | + | 0.127812i | ||||
\(896\) | − | 1.26671e14i | − | 0.219349i | ||||||
\(897\) | −1.64248e15 | − | 1.28187e12i | −2.82839 | − | 0.00220741i | ||||
\(898\) | −5.13194e14 | −0.878819 | ||||||||
\(899\) | −2.76766e13 | − | 8.12658e12i | −0.0471318 | − | 0.0138392i | ||||
\(900\) | −1.38444e15 | + | 1.59773e15i | −2.34456 | + | 2.70577i | ||||
\(901\) | −1.10796e15 | − | 7.12042e14i | −1.86595 | − | 1.19917i | ||||
\(902\) | −2.26869e14 | − | 3.26188e13i | −0.379963 | − | 0.0546305i | ||||
\(903\) | 2.38807e14 | − | 1.53472e14i | 0.397748 | − | 0.255617i | ||||
\(904\) | 1.23503e15 | − | 5.64017e14i | 2.04566 | − | 0.934222i | ||||
\(905\) | −1.68803e14 | − | 1.94809e14i | −0.278060 | − | 0.320898i | ||||
\(906\) | −8.65310e13 | − | 6.01836e14i | −0.141752 | − | 0.985910i | ||||
\(907\) | 2.83767e13 | + | 1.29592e13i | 0.0462302 | + | 0.0211126i | 0.438396 | − | 0.898782i | \(-0.355547\pi\) |
−0.392166 | + | 0.919895i | \(0.628274\pi\) | |||||||
\(908\) | 9.34468e13 | + | 3.18251e14i | 0.151403 | + | 0.515632i | ||||
\(909\) | 3.18796e14 | − | 9.36069e13i | 0.513680 | − | 0.150830i | ||||
\(910\) | −5.24920e13 | + | 1.14941e14i | −0.0841175 | + | 0.184192i | ||||
\(911\) | 1.85813e14 | − | 2.67158e13i | 0.296131 | − | 0.0425772i | 0.00735175 | − | 0.999973i | \(-0.497660\pi\) |
0.288779 | + | 0.957396i | \(0.406751\pi\) | |||||||
\(912\) | −2.00753e15 | + | 1.73954e15i | −3.18191 | + | 2.75714i | ||||
\(913\) | 6.34496e12 | + | 1.38935e13i | 0.0100017 | + | 0.0219007i | ||||
\(914\) | −1.87743e14 | − | 2.92133e14i | −0.294328 | − | 0.457984i | ||||
\(915\) | 4.56689e13 | − | 3.17634e14i | 0.0712057 | − | 0.495247i | ||||
\(916\) | −6.74864e14 | + | 1.05011e15i | −1.04650 | + | 1.62839i | ||||
\(917\) | −9.84113e13 | − | 8.52739e13i | −0.151774 | − | 0.131513i | ||||
\(918\) | 8.26137e14 | − | 2.81356e15i | 1.26718 | − | 4.31562i | ||||
\(919\) | − | 1.58351e14i | − | 0.241571i | −0.992679 | − | 0.120785i | \(-0.961459\pi\) | ||
0.992679 | − | 0.120785i | \(-0.0385413\pi\) | |||||||
\(920\) | −4.88105e14 | + | 6.97901e13i | −0.740584 | + | 0.105890i | ||||
\(921\) | −1.06368e15 | −1.60513 | ||||||||
\(922\) | 1.67418e15 | + | 4.91583e14i | 2.51273 | + | 0.737806i | ||||
\(923\) | 1.10560e14 | − | 1.27593e14i | 0.165040 | − | 0.190466i | ||||
\(924\) | 5.20591e13 | + | 3.34564e13i | 0.0772925 | + | 0.0496728i | ||||
\(925\) | 1.05807e14 | + | 1.52127e13i | 0.156245 | + | 0.0224646i | ||||
\(926\) | 1.33344e15 | − | 8.56949e14i | 1.95847 | − | 1.25864i | ||||
\(927\) | 1.76516e15 | − | 8.06123e14i | 2.57861 | − | 1.17761i | ||||
\(928\) | 9.67752e13 | + | 1.11685e14i | 0.140613 | + | 0.162276i | ||||
\(929\) | −3.76590e13 | − | 2.61924e14i | −0.0544239 | − | 0.378527i | −0.998770 | − | 0.0495743i | \(-0.984214\pi\) |
0.944347 | − | 0.328952i | \(-0.106696\pi\) | |||||||
\(930\) | −1.31144e14 | − | 5.98914e13i | −0.188509 | − | 0.0860894i | ||||
\(931\) | 2.77421e14 | + | 9.44809e14i | 0.396635 | + | 1.35081i | ||||
\(932\) | −1.92741e15 | + | 5.65940e14i | −2.74092 | + | 0.804805i | ||||
\(933\) | −5.79186e14 | + | 1.26824e15i | −0.819237 | + | 1.79388i | ||||
\(934\) | 7.27301e14 | − | 1.04570e14i | 1.02325 | − | 0.147121i | ||||
\(935\) | 4.17874e13 | − | 3.62090e13i | 0.0584773 | − | 0.0506708i | ||||
\(936\) | 2.00788e15 | + | 4.39664e15i | 2.79485 | + | 6.11986i | ||||
\(937\) | −4.44857e14 | − | 6.92212e14i | −0.615918 | − | 0.958387i | −0.999393 | − | 0.0348357i | \(-0.988909\pi\) |
0.383475 | − | 0.923551i | \(-0.374727\pi\) | |||||||
\(938\) | −1.51765e13 | + | 1.05555e14i | −0.0209005 | + | 0.145366i | ||||
\(939\) | −1.87380e14 | + | 2.91568e14i | −0.256681 | + | 0.399404i | ||||
\(940\) | −1.97146e14 | − | 1.70828e14i | −0.268626 | − | 0.232766i | ||||
\(941\) | 3.98548e14 | − | 1.35733e15i | 0.540172 | − | 1.83966i | −0.00293701 | − | 0.999996i | \(-0.500935\pi\) |
0.543109 | − | 0.839662i | \(-0.317247\pi\) | |||||||
\(942\) | 3.60720e15i | 4.86313i | ||||||||
\(943\) | 1.06974e15 | + | 6.88658e14i | 1.43456 | + | 0.923518i | ||||
\(944\) | −4.09504e14 | −0.546259 | ||||||||
\(945\) | 6.72411e13 | + | 1.97438e13i | 0.0892227 | + | 0.0261982i | ||||
\(946\) | 1.59932e14 | − | 1.84571e14i | 0.211096 | − | 0.243618i | ||||
\(947\) | 7.21747e14 | + | 4.63838e14i | 0.947622 | + | 0.608999i | 0.920546 | − | 0.390634i | \(-0.127744\pi\) |
0.0270755 | + | 0.999633i | \(0.491381\pi\) | |||||||
\(948\) | −1.90063e15 | − | 2.73269e14i | −2.48231 | − | 0.356902i | ||||
\(949\) | −5.86397e12 | + | 3.76855e12i | −0.00761835 | + | 0.00489601i | ||||
\(950\) | 1.63390e15 | − | 7.46179e14i | 2.11158 | − | 0.964328i | ||||
\(951\) | 8.65879e14 | + | 9.99278e14i | 1.11315 | + | 1.28465i | ||||
\(952\) | 8.64999e13 | + | 6.01620e14i | 0.110619 | + | 0.769374i | ||||
\(953\) | −6.21360e14 | − | 2.83765e14i | −0.790458 | − | 0.360990i | −0.0210748 | − | 0.999778i | \(-0.506709\pi\) |
−0.769383 | + | 0.638788i | \(0.779436\pi\) | |||||||
\(954\) | −8.94964e14 | − | 3.04797e15i | −1.13257 | − | 3.85717i | ||||
\(955\) | 3.47096e14 | − | 1.01917e14i | 0.436951 | − | 0.128300i | ||||
\(956\) | −2.53643e14 | + | 5.55401e14i | −0.317639 | + | 0.695533i | ||||
\(957\) | 4.08820e13 | − | 5.87794e12i | 0.0509299 | − | 0.00732261i | ||||
\(958\) | 6.03127e14 | − | 5.22613e14i | 0.747449 | − | 0.647668i | ||||
\(959\) | 3.87971e13 | + | 8.49538e13i | 0.0478306 | + | 0.104734i | ||||
\(960\) | −3.35299e13 | − | 5.21736e13i | −0.0411222 | − | 0.0639874i | ||||
\(961\) | 1.11924e14 | − | 7.78451e14i | 0.136555 | − | 0.949762i | ||||
\(962\) | 2.40372e14 | − | 3.74026e14i | 0.291748 | − | 0.453969i | ||||
\(963\) | −3.10763e13 | − | 2.69278e13i | −0.0375231 | − | 0.0325139i | ||||
\(964\) | −4.14248e14 | + | 1.41080e15i | −0.497594 | + | 1.69465i | ||||
\(965\) | 4.63346e13i | 0.0553693i | ||||||||
\(966\) | −2.69008e14 | − | 4.19303e14i | −0.319800 | − | 0.498474i | ||||
\(967\) | −4.59640e14 | −0.543607 | −0.271804 | − | 0.962353i | \(-0.587620\pi\) | ||||
−0.271804 | + | 0.962353i | \(0.587620\pi\) | |||||||
\(968\) | −1.75835e15 | − | 5.16298e14i | −2.06885 | − | 0.607469i | ||||
\(969\) | −2.48838e15 | + | 2.87174e15i | −2.91271 | + | 3.36145i | ||||
\(970\) | −6.39689e14 | − | 4.11103e14i | −0.744921 | − | 0.478732i | ||||
\(971\) | −7.06790e14 | − | 1.01621e14i | −0.818831 | − | 0.117730i | −0.279845 | − | 0.960045i | \(-0.590283\pi\) |
−0.538986 | + | 0.842315i | \(0.681192\pi\) | |||||||
\(972\) | −8.69626e14 | + | 5.58875e14i | −1.00231 | + | 0.644144i | ||||
\(973\) | −1.96515e13 | + | 8.97456e12i | −0.0225337 | + | 0.0102908i | ||||
\(974\) | 1.51904e13 | + | 1.75307e13i | 0.0173291 | + | 0.0199988i | ||||
\(975\) | −3.13297e14 | − | 2.17903e15i | −0.355576 | − | 2.47309i | ||||
\(976\) | 1.20123e15 | + | 5.48586e14i | 1.35637 | + | 0.619434i | ||||
\(977\) | 2.64462e14 | + | 9.00676e14i | 0.297092 | + | 1.01180i | 0.963832 | + | 0.266512i | \(0.0858711\pi\) |
−0.666740 | + | 0.745291i | \(0.732311\pi\) | |||||||
\(978\) | 3.69338e15 | − | 1.08447e15i | 4.12790 | − | 1.21206i | ||||
\(979\) | −3.16095e13 | + | 6.92153e13i | −0.0351483 | + | 0.0769641i | ||||
\(980\) | 6.52376e14 | − | 9.37975e13i | 0.721718 | − | 0.103767i | ||||
\(981\) | 6.63399e14 | − | 5.74838e14i | 0.730179 | − | 0.632704i | ||||
\(982\) | −9.38428e13 | − | 2.05487e14i | −0.102765 | − | 0.225023i | ||||
\(983\) | −6.75811e14 | − | 1.05158e15i | −0.736304 | − | 1.14571i | −0.984223 | − | 0.176931i | \(-0.943383\pi\) |
0.247919 | − | 0.968781i | \(-0.420253\pi\) | |||||||
\(984\) | 8.24745e14 | − | 5.73623e15i | 0.894013 | − | 6.21800i | ||||
\(985\) | −8.69514e13 | + | 1.35299e14i | −0.0937768 | + | 0.145920i | ||||
\(986\) | 5.57745e14 | + | 4.83289e14i | 0.598482 | + | 0.518588i | ||||
\(987\) | 4.08164e13 | − | 1.39008e14i | 0.0435762 | − | 0.148407i | ||||
\(988\) | − | 5.15128e15i | − | 5.47181i | ||||||
\(989\) | −1.23355e15 | + | 5.62181e14i | −1.30369 | + | 0.594148i | ||||
\(990\) | 1.33364e14 | 0.140237 | ||||||||
\(991\) | −3.35668e14 | − | 9.85611e13i | −0.351190 | − | 0.103119i | 0.101379 | − | 0.994848i | \(-0.467674\pi\) |
−0.452569 | + | 0.891729i | \(0.649493\pi\) | |||||||
\(992\) | 1.11292e14 | − | 1.28438e14i | 0.115852 | − | 0.133701i | ||||
\(993\) | −9.80395e14 | − | 6.30061e14i | −1.01544 | − | 0.652584i | ||||
\(994\) | 5.06860e13 | + | 7.28755e12i | 0.0522344 | + | 0.00751017i | ||||
\(995\) | 4.52974e14 | − | 2.91109e14i | 0.464470 | − | 0.298497i | ||||
\(996\) | −6.39075e14 | + | 2.91856e14i | −0.652011 | + | 0.297764i | ||||
\(997\) | −4.47974e14 | − | 5.16990e14i | −0.454755 | − | 0.524815i | 0.481354 | − | 0.876526i | \(-0.340145\pi\) |
−0.936108 | + | 0.351712i | \(0.885600\pi\) | |||||||
\(998\) | 1.63803e14 | + | 1.13928e15i | 0.165451 | + | 1.15074i | ||||
\(999\) | −2.24296e14 | − | 1.02433e14i | −0.225421 | − | 0.102946i |
(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 | 23.11.d.a.5.2 | ✓ | 190 | |
23.14 | odd | 22 | inner | 23.11.d.a.14.2 | yes | 190 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
23.11.d.a.5.2 | ✓ | 190 | 1.1 | even | 1 | trivial | |
23.11.d.a.14.2 | yes | 190 | 23.14 | odd | 22 | inner |