Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [27,10,Mod(4,27)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(27, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 10, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("27.4");
S:= CuspForms(chi, 10);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 27 = 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 10 \) |
Character orbit: | \([\chi]\) | \(=\) | 27.e (of order \(9\), degree \(6\), 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: | \(13.9059675764\) |
Analytic rank: | \(0\) |
Dimension: | \(156\) |
Relative dimension: | \(26\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 4.7 | ||
Character | \(\chi\) | \(=\) | 27.4 |
Dual form | 27.10.e.a.7.7 |
$q$-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 \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −22.2970 | − | 8.11544i | −0.985397 | − | 0.358655i | −0.201461 | − | 0.979497i | \(-0.564569\pi\) |
−0.783936 | + | 0.620841i | \(0.786791\pi\) | |||||||
\(3\) | −117.506 | + | 76.6512i | −0.837555 | + | 0.546353i | ||||
\(4\) | 39.0810 | + | 32.7929i | 0.0763301 | + | 0.0640486i | ||||
\(5\) | 151.895 | − | 861.438i | 0.108687 | − | 0.616395i | −0.880996 | − | 0.473123i | \(-0.843127\pi\) |
0.989683 | − | 0.143272i | \(-0.0457623\pi\) | |||||||
\(6\) | 3242.08 | − | 755.482i | 1.02128 | − | 0.237982i | ||||
\(7\) | 4408.97 | − | 3699.56i | 0.694058 | − | 0.582384i | −0.226018 | − | 0.974123i | \(-0.572571\pi\) |
0.920076 | + | 0.391739i | \(0.128126\pi\) | |||||||
\(8\) | 5469.10 | + | 9472.76i | 0.472075 | + | 0.817658i | ||||
\(9\) | 7932.18 | − | 18013.9i | 0.402996 | − | 0.915202i | ||||
\(10\) | −10377.8 | + | 17974.8i | −0.328173 | + | 0.568413i | ||||
\(11\) | −11226.1 | − | 63666.3i | −0.231186 | − | 1.31112i | −0.850499 | − | 0.525977i | \(-0.823700\pi\) |
0.619313 | − | 0.785144i | \(-0.287411\pi\) | |||||||
\(12\) | −7105.86 | − | 857.740i | −0.0989238 | − | 0.0119410i | ||||
\(13\) | −2007.46 | + | 730.657i | −0.0194941 | + | 0.00709526i | −0.351749 | − | 0.936094i | \(-0.614413\pi\) |
0.332255 | + | 0.943190i | \(0.392191\pi\) | |||||||
\(14\) | −128330. | + | 46708.5i | −0.892798 | + | 0.324952i | ||||
\(15\) | 48181.8 | + | 112867.i | 0.245738 | + | 0.575646i | ||||
\(16\) | −49604.7 | − | 281322.i | −0.189227 | − | 1.07316i | ||||
\(17\) | −273343. | + | 473443.i | −0.793757 | + | 1.37483i | 0.129869 | + | 0.991531i | \(0.458544\pi\) |
−0.923626 | + | 0.383296i | \(0.874789\pi\) | |||||||
\(18\) | −323055. | + | 337283.i | −0.725353 | + | 0.757301i | ||||
\(19\) | 4584.85 | + | 7941.20i | 0.00807112 | + | 0.0139796i | 0.870033 | − | 0.492994i | \(-0.164098\pi\) |
−0.861962 | + | 0.506974i | \(0.830764\pi\) | |||||||
\(20\) | 34185.2 | − | 28684.8i | 0.0477753 | − | 0.0400883i | ||||
\(21\) | −234503. | + | 772673.i | −0.263124 | + | 0.866980i | ||||
\(22\) | −266372. | + | 1.51067e6i | −0.242430 | + | 1.37489i | ||||
\(23\) | −710303. | − | 596015.i | −0.529259 | − | 0.444101i | 0.338586 | − | 0.940935i | \(-0.390051\pi\) |
−0.867846 | + | 0.496834i | \(0.834496\pi\) | |||||||
\(24\) | −1.36875e6 | − | 693890.i | −0.842119 | − | 0.426914i | ||||
\(25\) | 1.11633e6 | + | 406312.i | 0.571563 | + | 0.208032i | ||||
\(26\) | 50690.0 | 0.0217542 | ||||||||
\(27\) | 448713. | + | 2.72475e6i | 0.162492 | + | 0.986710i | ||||
\(28\) | 293626. | 0.0902784 | ||||||||
\(29\) | −6.71518e6 | − | 2.44413e6i | −1.76306 | − | 0.641701i | −0.763069 | − | 0.646317i | \(-0.776309\pi\) |
−0.999989 | + | 0.00461569i | \(0.998531\pi\) | |||||||
\(30\) | −158345. | − | 2.90761e6i | −0.0356911 | − | 0.655376i | ||||
\(31\) | −208125. | − | 174637.i | −0.0404759 | − | 0.0339633i | 0.622325 | − | 0.782759i | \(-0.286188\pi\) |
−0.662801 | + | 0.748795i | \(0.730633\pi\) | |||||||
\(32\) | −204526. | + | 1.15992e6i | −0.0344805 | + | 0.195548i | ||||
\(33\) | 6.19923e6 | + | 6.62066e6i | 0.909966 | + | 0.971826i | ||||
\(34\) | 9.93693e6 | − | 8.33807e6i | 1.27525 | − | 1.07007i | ||||
\(35\) | −2.51725e6 | − | 4.36000e6i | −0.283544 | − | 0.491112i | ||||
\(36\) | 900725. | − | 443883.i | 0.0893781 | − | 0.0440461i | ||||
\(37\) | 5.31071e6 | − | 9.19842e6i | 0.465849 | − | 0.806873i | −0.533391 | − | 0.845869i | \(-0.679082\pi\) |
0.999239 | + | 0.0389956i | \(0.0124158\pi\) | |||||||
\(38\) | −37782.1 | − | 214273.i | −0.00293941 | − | 0.0166702i | ||||
\(39\) | 179883. | − | 239731.i | 0.0124508 | − | 0.0165933i | ||||
\(40\) | 8.99093e6 | − | 3.27243e6i | 0.555309 | − | 0.202116i | ||||
\(41\) | −720374. | + | 262195.i | −0.0398135 | + | 0.0144909i | −0.361850 | − | 0.932236i | \(-0.617855\pi\) |
0.322037 | + | 0.946727i | \(0.395633\pi\) | |||||||
\(42\) | 1.14993e7 | − | 1.53252e7i | 0.570229 | − | 0.759949i | ||||
\(43\) | 4.99580e6 | + | 2.83326e7i | 0.222842 | + | 1.26380i | 0.866768 | + | 0.498712i | \(0.166193\pi\) |
−0.643926 | + | 0.765088i | \(0.722695\pi\) | |||||||
\(44\) | 1.64907e6 | − | 2.85628e6i | 0.0663290 | − | 0.114885i | ||||
\(45\) | −1.43130e7 | − | 9.56930e6i | −0.520325 | − | 0.347876i | ||||
\(46\) | 1.10007e7 | + | 1.90538e7i | 0.362251 | + | 0.627438i | ||||
\(47\) | −1.81087e7 | + | 1.51950e7i | −0.541313 | + | 0.454215i | −0.871987 | − | 0.489530i | \(-0.837168\pi\) |
0.330674 | + | 0.943745i | \(0.392724\pi\) | |||||||
\(48\) | 2.73925e7 | + | 2.92547e7i | 0.744811 | + | 0.795444i | ||||
\(49\) | −1.25510e6 | + | 7.11801e6i | −0.0311025 | + | 0.176391i | ||||
\(50\) | −2.15935e7 | − | 1.81191e7i | −0.488605 | − | 0.409988i | ||||
\(51\) | −4.17070e6 | − | 7.65844e7i | −0.0863264 | − | 1.58516i | ||||
\(52\) | −102414. | − | 37275.7i | −0.00194243 | − | 0.000706985i | ||||
\(53\) | −7.28654e7 | −1.26847 | −0.634235 | − | 0.773140i | \(-0.718685\pi\) | ||||
−0.634235 | + | 0.773140i | \(0.718685\pi\) | |||||||
\(54\) | 1.21076e7 | − | 6.43952e7i | 0.193770 | − | 1.03058i | ||||
\(55\) | −5.65498e7 | −0.833295 | ||||||||
\(56\) | 5.91582e7 | + | 2.15318e7i | 0.803838 | + | 0.292573i | ||||
\(57\) | −1.14745e6 | − | 581701.i | −0.0143978 | − | 0.00729899i | ||||
\(58\) | 1.29893e8 | + | 1.08993e8i | 1.50716 | + | 1.26466i | ||||
\(59\) | −8.86448e6 | + | 5.02730e7i | −0.0952400 | + | 0.540133i | 0.899434 | + | 0.437057i | \(0.143979\pi\) |
−0.994674 | + | 0.103075i | \(0.967132\pi\) | |||||||
\(60\) | −1.81823e6 | + | 5.99097e6i | −0.0181121 | + | 0.0596783i | ||||
\(61\) | 2.96204e7 | − | 2.48544e7i | 0.273909 | − | 0.229837i | −0.495477 | − | 0.868621i | \(-0.665007\pi\) |
0.769386 | + | 0.638784i | \(0.220562\pi\) | |||||||
\(62\) | 3.22330e6 | + | 5.58292e6i | 0.0277037 | + | 0.0479842i | ||||
\(63\) | −3.16709e7 | − | 1.08768e8i | −0.253296 | − | 0.869902i | ||||
\(64\) | −5.91558e7 | + | 1.02461e8i | −0.440745 | + | 0.763393i | ||||
\(65\) | 324493. | + | 1.84029e6i | 0.00225473 | + | 0.0127872i | ||||
\(66\) | −8.44947e7 | − | 1.97930e8i | −0.548128 | − | 1.28400i | ||||
\(67\) | −2.25674e8 | + | 8.21387e7i | −1.36819 | + | 0.497979i | −0.918576 | − | 0.395245i | \(-0.870660\pi\) |
−0.449611 | + | 0.893225i | \(0.648437\pi\) | |||||||
\(68\) | −2.62081e7 | + | 9.53896e6i | −0.148643 | + | 0.0541017i | ||||
\(69\) | 1.29150e8 | + | 1.55895e7i | 0.685920 | + | 0.0827966i | ||||
\(70\) | 2.07437e7 | + | 1.17644e8i | 0.103263 | + | 0.585635i | ||||
\(71\) | −1.54607e8 | + | 2.67787e8i | −0.722048 | + | 1.25062i | 0.238130 | + | 0.971233i | \(0.423466\pi\) |
−0.960178 | + | 0.279390i | \(0.909868\pi\) | |||||||
\(72\) | 2.14023e8 | − | 2.33803e7i | 0.938566 | − | 0.102531i | ||||
\(73\) | 1.82624e7 | + | 3.16315e7i | 0.0752672 | + | 0.130367i | 0.901202 | − | 0.433398i | \(-0.142686\pi\) |
−0.825935 | + | 0.563765i | \(0.809352\pi\) | |||||||
\(74\) | −1.93062e8 | + | 1.61998e8i | −0.748435 | + | 0.628012i | ||||
\(75\) | −1.62320e8 | + | 3.78243e7i | −0.592374 | + | 0.138037i | ||||
\(76\) | −81233.9 | + | 460700.i | −0.000279303 | + | 0.00158401i | ||||
\(77\) | −2.85033e8 | − | 2.39171e8i | −0.924032 | − | 0.775355i | ||||
\(78\) | −5.95637e6 | + | 3.88545e6i | −0.0182203 | + | 0.0118855i | ||||
\(79\) | 2.50973e8 | + | 9.13467e7i | 0.724945 | + | 0.263858i | 0.678024 | − | 0.735040i | \(-0.262837\pi\) |
0.0469216 | + | 0.998899i | \(0.485059\pi\) | |||||||
\(80\) | −2.49876e8 | −0.682056 | ||||||||
\(81\) | −2.61582e8 | − | 2.85779e8i | −0.675188 | − | 0.737646i | ||||
\(82\) | 1.81900e7 | 0.0444294 | ||||||||
\(83\) | 5.56219e8 | + | 2.02447e8i | 1.28645 | + | 0.468231i | 0.892562 | − | 0.450925i | \(-0.148906\pi\) |
0.393893 | + | 0.919156i | \(0.371128\pi\) | |||||||
\(84\) | −3.45028e7 | + | 2.25068e7i | −0.0756131 | + | 0.0493239i | ||||
\(85\) | 3.66323e8 | + | 3.07382e8i | 0.761165 | + | 0.638694i | ||||
\(86\) | 1.18540e8 | − | 6.72275e8i | 0.233681 | − | 1.32527i | ||||
\(87\) | 9.76417e8 | − | 2.27528e8i | 1.82725 | − | 0.425793i | ||||
\(88\) | 5.41699e8 | − | 4.54540e8i | 0.962911 | − | 0.807978i | ||||
\(89\) | −1.70525e8 | − | 2.95358e8i | −0.288094 | − | 0.498993i | 0.685261 | − | 0.728298i | \(-0.259688\pi\) |
−0.973355 | + | 0.229305i | \(0.926355\pi\) | |||||||
\(90\) | 2.41478e8 | + | 3.29523e8i | 0.387960 | + | 0.529413i | ||||
\(91\) | −6.14773e6 | + | 1.06482e7i | −0.00939786 | + | 0.0162776i | ||||
\(92\) | −8.21432e6 | − | 4.65857e7i | −0.0119544 | − | 0.0677966i | ||||
\(93\) | 3.78420e7 | + | 4.56787e6i | 0.0524567 | + | 0.00633199i | ||||
\(94\) | 5.27085e8 | − | 1.91843e8i | 0.696315 | − | 0.253438i | ||||
\(95\) | 7.53727e6 | − | 2.74334e6i | 0.00949418 | − | 0.00345560i | ||||
\(96\) | −6.48766e7 | − | 1.51975e8i | −0.0779593 | − | 0.182621i | ||||
\(97\) | −2.67990e8 | − | 1.51985e9i | −0.307359 | − | 1.74312i | −0.612189 | − | 0.790711i | \(-0.709711\pi\) |
0.304830 | − | 0.952407i | \(-0.401400\pi\) | |||||||
\(98\) | 8.57507e7 | − | 1.48524e8i | 0.0939118 | − | 0.162660i | ||||
\(99\) | −1.23593e9 | − | 3.02787e8i | −1.29311 | − | 0.316795i | ||||
\(100\) | 3.03033e7 | + | 5.24868e7i | 0.0303033 | + | 0.0524868i | ||||
\(101\) | 1.09404e8 | − | 9.18009e7i | 0.104613 | − | 0.0877811i | −0.588981 | − | 0.808147i | \(-0.700471\pi\) |
0.693594 | + | 0.720366i | \(0.256026\pi\) | |||||||
\(102\) | −5.28522e8 | + | 1.74145e9i | −0.483462 | + | 1.59298i | ||||
\(103\) | −1.07561e8 | + | 6.10009e8i | −0.0941646 | + | 0.534034i | 0.900836 | + | 0.434160i | \(0.142955\pi\) |
−0.995000 | + | 0.0998734i | \(0.968156\pi\) | |||||||
\(104\) | −1.79004e7 | − | 1.50202e7i | −0.0150042 | − | 0.0125900i | ||||
\(105\) | 6.29990e8 | + | 3.19375e8i | 0.505804 | + | 0.256418i | ||||
\(106\) | 1.62468e9 | + | 5.91335e8i | 1.24995 | + | 0.454944i | ||||
\(107\) | −1.37614e9 | −1.01493 | −0.507463 | − | 0.861674i | \(-0.669416\pi\) | ||||
−0.507463 | + | 0.861674i | \(0.669416\pi\) | |||||||
\(108\) | −7.18161e7 | + | 1.21201e8i | −0.0507943 | + | 0.0857230i | ||||
\(109\) | −2.88760e9 | −1.95938 | −0.979689 | − | 0.200524i | \(-0.935736\pi\) | ||||
−0.979689 | + | 0.200524i | \(0.935736\pi\) | |||||||
\(110\) | 1.26089e9 | + | 4.58927e8i | 0.821127 | + | 0.298866i | ||||
\(111\) | 8.10316e7 | + | 1.48794e9i | 0.0506642 | + | 0.930319i | ||||
\(112\) | −1.25947e9 | − | 1.05682e9i | −0.756325 | − | 0.634632i | ||||
\(113\) | −1.04844e7 | + | 5.94600e7i | −0.00604910 | + | 0.0343062i | −0.987683 | − | 0.156469i | \(-0.949989\pi\) |
0.981634 | + | 0.190775i | \(0.0611001\pi\) | |||||||
\(114\) | 2.08639e7 | + | 2.22822e7i | 0.0115697 | + | 0.0123563i | ||||
\(115\) | −6.21322e8 | + | 5.21351e8i | −0.331265 | + | 0.277965i | ||||
\(116\) | −1.82286e8 | − | 3.15729e8i | −0.0934744 | − | 0.161902i | ||||
\(117\) | −2.76156e6 | + | 4.19580e7i | −0.00136244 | + | 0.0207004i | ||||
\(118\) | 6.05639e8 | − | 1.04900e9i | 0.287571 | − | 0.498087i | ||||
\(119\) | 5.46375e8 | + | 3.09865e9i | 0.249764 | + | 1.41648i | ||||
\(120\) | −8.05649e8 | + | 1.07369e9i | −0.354675 | + | 0.472678i | ||||
\(121\) | −1.71163e9 | + | 6.22982e8i | −0.725898 | + | 0.264205i | ||||
\(122\) | −8.62150e8 | + | 3.13797e8i | −0.352341 | + | 0.128242i | ||||
\(123\) | 6.45505e7 | − | 8.60269e7i | 0.0254288 | − | 0.0338892i | ||||
\(124\) | −2.40687e6 | − | 1.36500e7i | −0.000914228 | − | 0.00518484i | ||||
\(125\) | 1.37380e9 | − | 2.37950e9i | 0.503303 | − | 0.871747i | ||||
\(126\) | −1.76537e8 | + | 2.68223e9i | −0.0623978 | + | 0.948045i | ||||
\(127\) | −5.82316e8 | − | 1.00860e9i | −0.198629 | − | 0.344035i | 0.749455 | − | 0.662055i | \(-0.230315\pi\) |
−0.948084 | + | 0.318020i | \(0.896982\pi\) | |||||||
\(128\) | 2.61247e9 | − | 2.19212e9i | 0.860214 | − | 0.721805i | ||||
\(129\) | −2.75876e9 | − | 2.94631e9i | −0.877124 | − | 0.936751i | ||||
\(130\) | 7.69955e6 | − | 4.36663e7i | 0.00236440 | − | 0.0134092i | ||||
\(131\) | 1.05065e9 | + | 8.81602e8i | 0.311701 | + | 0.261548i | 0.785195 | − | 0.619249i | \(-0.212563\pi\) |
−0.473494 | + | 0.880797i | \(0.657007\pi\) | |||||||
\(132\) | 2.51618e7 | + | 4.62033e8i | 0.00721372 | + | 0.132462i | ||||
\(133\) | 4.95934e7 | + | 1.80505e7i | 0.0137433 | + | 0.00500216i | ||||
\(134\) | 5.69845e9 | 1.52681 | ||||||||
\(135\) | 2.41536e9 | + | 2.73365e7i | 0.625864 | + | 0.00708340i | ||||
\(136\) | −5.97975e9 | −1.49885 | ||||||||
\(137\) | 4.30632e9 | + | 1.56737e9i | 1.04439 | + | 0.380127i | 0.806543 | − | 0.591175i | \(-0.201336\pi\) |
0.237848 | + | 0.971302i | \(0.423558\pi\) | |||||||
\(138\) | −2.75314e9 | − | 1.39571e9i | −0.646208 | − | 0.327596i | ||||
\(139\) | −2.37882e9 | − | 1.99607e9i | −0.540499 | − | 0.453533i | 0.331209 | − | 0.943557i | \(-0.392543\pi\) |
−0.871709 | + | 0.490025i | \(0.836988\pi\) | |||||||
\(140\) | 4.46003e7 | − | 2.52941e8i | 0.00981210 | − | 0.0556472i | ||||
\(141\) | 9.63162e8 | − | 3.17356e9i | 0.205217 | − | 0.676178i | ||||
\(142\) | 5.62048e9 | − | 4.71614e9i | 1.16005 | − | 0.973395i | ||||
\(143\) | 6.90542e7 | + | 1.19605e8i | 0.0138095 | + | 0.0239188i | ||||
\(144\) | −5.46118e9 | − | 1.33792e9i | −1.05841 | − | 0.259298i | ||||
\(145\) | −3.12547e9 | + | 5.41347e9i | −0.587163 | + | 1.01700i | ||||
\(146\) | −1.50494e8 | − | 8.53494e8i | −0.0274114 | − | 0.155458i | ||||
\(147\) | −3.98123e8 | − | 9.32611e8i | −0.0703217 | − | 0.164730i | ||||
\(148\) | 5.09190e8 | − | 1.85330e8i | 0.0872373 | − | 0.0317518i | ||||
\(149\) | 6.57123e8 | − | 2.39173e8i | 0.109222 | − | 0.0397534i | −0.286831 | − | 0.957981i | \(-0.592602\pi\) |
0.396053 | + | 0.918228i | \(0.370380\pi\) | |||||||
\(150\) | 3.92621e9 | + | 4.73928e8i | 0.633231 | + | 0.0764367i | ||||
\(151\) | −2.28019e8 | − | 1.29316e9i | −0.0356924 | − | 0.202422i | 0.961747 | − | 0.273940i | \(-0.0883268\pi\) |
−0.997439 | + | 0.0715179i | \(0.977216\pi\) | |||||||
\(152\) | −5.01500e7 | + | 8.68624e7i | −0.00762035 | + | 0.0131988i | ||||
\(153\) | 6.36037e9 | + | 8.67941e9i | 0.938363 | + | 1.28050i | ||||
\(154\) | 4.41440e9 | + | 7.64597e9i | 0.632454 | + | 1.09544i | ||||
\(155\) | −1.82053e8 | + | 1.52760e8i | −0.0253340 | + | 0.0212578i | ||||
\(156\) | 1.48915e7 | − | 3.47006e6i | 0.00201315 | − | 0.000469112i | ||||
\(157\) | 1.57956e9 | − | 8.95814e9i | 0.207486 | − | 1.17671i | −0.685994 | − | 0.727607i | \(-0.740632\pi\) |
0.893480 | − | 0.449103i | \(-0.148256\pi\) | |||||||
\(158\) | −4.85463e9 | − | 4.07352e9i | −0.619725 | − | 0.520011i | ||||
\(159\) | 8.56210e9 | − | 5.58523e9i | 1.06241 | − | 0.693033i | ||||
\(160\) | 9.68136e8 | + | 3.52373e8i | 0.116788 | + | 0.0425072i | ||||
\(161\) | −5.33670e9 | −0.625974 | ||||||||
\(162\) | 3.51326e9 | + | 8.49487e9i | 0.400768 | + | 0.969034i | ||||
\(163\) | 1.47674e10 | 1.63855 | 0.819273 | − | 0.573403i | \(-0.194377\pi\) | ||||
0.819273 | + | 0.573403i | \(0.194377\pi\) | |||||||
\(164\) | −3.67511e7 | − | 1.33763e7i | −0.00396709 | − | 0.00144390i | ||||
\(165\) | 6.64492e9 | − | 4.33461e9i | 0.697931 | − | 0.455274i | ||||
\(166\) | −1.07591e10 | − | 9.02793e9i | −1.09974 | − | 0.922787i | ||||
\(167\) | −1.83713e9 | + | 1.04189e10i | −0.182775 | + | 1.03657i | 0.746007 | + | 0.665939i | \(0.231969\pi\) |
−0.928781 | + | 0.370628i | \(0.879142\pi\) | |||||||
\(168\) | −8.60186e9 | + | 2.00444e9i | −0.833107 | + | 0.194134i | ||||
\(169\) | −8.12002e9 | + | 6.81351e9i | −0.765715 | + | 0.642511i | ||||
\(170\) | −5.67337e9 | − | 9.82656e9i | −0.520980 | − | 0.902363i | ||||
\(171\) | 1.79420e8 | − | 1.96002e7i | 0.0160468 | − | 0.00175298i | ||||
\(172\) | −7.33866e8 | + | 1.27109e9i | −0.0639350 | + | 0.110739i | ||||
\(173\) | 1.69786e9 | + | 9.62902e9i | 0.144110 | + | 0.817287i | 0.968078 | + | 0.250650i | \(0.0806444\pi\) |
−0.823968 | + | 0.566636i | \(0.808244\pi\) | |||||||
\(174\) | −2.36177e10 | − | 2.85086e9i | −1.95328 | − | 0.235779i | ||||
\(175\) | 6.42506e9 | − | 2.33853e9i | 0.517852 | − | 0.188483i | ||||
\(176\) | −1.73539e10 | + | 6.31629e9i | −1.36329 | + | 0.496198i | ||||
\(177\) | −2.81186e9 | − | 6.58683e9i | −0.215335 | − | 0.504425i | ||||
\(178\) | 1.40524e9 | + | 7.96950e9i | 0.104920 | + | 0.595033i | ||||
\(179\) | 1.20072e10 | − | 2.07971e10i | 0.874186 | − | 1.51414i | 0.0165596 | − | 0.999863i | \(-0.494729\pi\) |
0.857627 | − | 0.514273i | \(-0.171938\pi\) | |||||||
\(180\) | −2.45563e8 | − | 8.43343e8i | −0.0174356 | − | 0.0598795i | ||||
\(181\) | 6.67484e9 | + | 1.15612e10i | 0.462261 | + | 0.800659i | 0.999073 | − | 0.0430423i | \(-0.0137050\pi\) |
−0.536812 | + | 0.843702i | \(0.680372\pi\) | |||||||
\(182\) | 2.23491e8 | − | 1.87531e8i | 0.0150987 | − | 0.0126693i | ||||
\(183\) | −1.57544e9 | + | 5.19098e9i | −0.103842 | + | 0.342152i | ||||
\(184\) | 1.76119e9 | − | 9.98820e9i | 0.113273 | − | 0.642402i | ||||
\(185\) | −7.11720e9 | − | 5.97204e9i | −0.446721 | − | 0.374843i | ||||
\(186\) | −8.06693e8 | − | 4.08955e8i | −0.0494197 | − | 0.0250534i | ||||
\(187\) | 3.32110e10 | + | 1.20878e10i | 1.98607 | + | 0.722870i | ||||
\(188\) | −1.20600e9 | −0.0704103 | ||||||||
\(189\) | 1.20587e10 | + | 1.03533e10i | 0.687423 | + | 0.590201i | ||||
\(190\) | −1.90322e8 | −0.0105949 | ||||||||
\(191\) | −2.73224e10 | − | 9.94455e9i | −1.48549 | − | 0.540673i | −0.533230 | − | 0.845970i | \(-0.679022\pi\) |
−0.952257 | + | 0.305297i | \(0.901244\pi\) | |||||||
\(192\) | −9.02608e8 | − | 1.65741e10i | −0.0479340 | − | 0.880186i | ||||
\(193\) | −6.32551e9 | − | 5.30773e9i | −0.328161 | − | 0.275360i | 0.463789 | − | 0.885946i | \(-0.346490\pi\) |
−0.791950 | + | 0.610586i | \(0.790934\pi\) | |||||||
\(194\) | −6.35886e9 | + | 3.60629e10i | −0.322308 | + | 1.82790i | ||||
\(195\) | −1.79190e8 | − | 1.91372e8i | −0.00887480 | − | 0.00947811i | ||||
\(196\) | −2.82470e8 | + | 2.37021e8i | −0.0136716 | + | 0.0114719i | ||||
\(197\) | −7.38377e9 | − | 1.27891e10i | −0.349285 | − | 0.604980i | 0.636837 | − | 0.770998i | \(-0.280242\pi\) |
−0.986123 | + | 0.166018i | \(0.946909\pi\) | |||||||
\(198\) | 2.51002e10 | + | 1.67813e10i | 1.16060 | + | 0.775949i | ||||
\(199\) | −1.87054e10 | + | 3.23988e10i | −0.845530 | + | 1.46450i | 0.0396310 | + | 0.999214i | \(0.487382\pi\) |
−0.885161 | + | 0.465286i | \(0.845952\pi\) | |||||||
\(200\) | 2.25644e9 | + | 1.27969e10i | 0.0997216 | + | 0.565549i | ||||
\(201\) | 2.02220e10 | − | 2.69500e10i | 0.873859 | − | 1.16460i | ||||
\(202\) | −3.18439e9 | + | 1.15902e9i | −0.134569 | + | 0.0489791i | ||||
\(203\) | −3.86492e10 | + | 1.40672e10i | −1.59738 | + | 0.581399i | ||||
\(204\) | 2.34843e9 | − | 3.12976e9i | 0.0949382 | − | 0.126525i | ||||
\(205\) | 1.16443e8 | + | 6.60384e8i | 0.00460493 | + | 0.0261158i | ||||
\(206\) | 7.34878e9 | − | 1.27285e10i | 0.284324 | − | 0.492463i | ||||
\(207\) | −1.63708e10 | + | 8.06764e9i | −0.619732 | + | 0.305408i | ||||
\(208\) | 3.05129e8 | + | 5.28500e8i | 0.0113031 | + | 0.0195776i | ||||
\(209\) | 4.54117e8 | − | 3.81049e8i | 0.0164630 | − | 0.0138141i | ||||
\(210\) | −1.14550e10 | − | 1.22338e10i | −0.406452 | − | 0.434083i | ||||
\(211\) | 1.43138e9 | − | 8.11777e9i | 0.0497147 | − | 0.281946i | −0.949808 | − | 0.312833i | \(-0.898722\pi\) |
0.999523 | + | 0.0308869i | \(0.00983317\pi\) | |||||||
\(212\) | −2.84766e9 | − | 2.38947e9i | −0.0968225 | − | 0.0812437i | ||||
\(213\) | −2.35901e9 | − | 4.33173e10i | −0.0785276 | − | 1.44196i | ||||
\(214\) | 3.06837e10 | + | 1.11679e10i | 1.00010 | + | 0.364008i | ||||
\(215\) | 2.51656e10 | 0.803220 | ||||||||
\(216\) | −2.33568e10 | + | 1.91525e10i | −0.730083 | + | 0.598664i | ||||
\(217\) | −1.56370e9 | −0.0478723 | ||||||||
\(218\) | 6.43849e10 | + | 2.34342e10i | 1.93077 | + | 0.702741i | ||||
\(219\) | −4.57053e9 | − | 2.31704e9i | −0.134267 | − | 0.0680667i | ||||
\(220\) | −2.21002e9 | − | 1.85443e9i | −0.0636055 | − | 0.0533714i | ||||
\(221\) | 2.02801e8 | − | 1.15014e9i | 0.00571879 | − | 0.0324329i | ||||
\(222\) | 1.02685e10 | − | 3.38342e10i | 0.283739 | − | 0.934905i | ||||
\(223\) | −1.46162e10 | + | 1.22645e10i | −0.395789 | + | 0.332106i | −0.818863 | − | 0.573989i | \(-0.805395\pi\) |
0.423075 | + | 0.906095i | \(0.360951\pi\) | |||||||
\(224\) | 3.38946e9 | + | 5.87072e9i | 0.0899529 | + | 0.155803i | ||||
\(225\) | 1.61742e10 | − | 1.68866e10i | 0.420729 | − | 0.439259i | ||||
\(226\) | 7.16315e8 | − | 1.24069e9i | 0.0182649 | − | 0.0316357i | ||||
\(227\) | −4.50093e9 | − | 2.55261e10i | −0.112509 | − | 0.638069i | −0.987954 | − | 0.154751i | \(-0.950543\pi\) |
0.875445 | − | 0.483318i | \(-0.160569\pi\) | |||||||
\(228\) | −2.57678e7 | − | 6.03616e7i | −0.000631496 | − | 0.00147929i | ||||
\(229\) | −5.63083e10 | + | 2.04945e10i | −1.35305 | + | 0.492468i | −0.913897 | − | 0.405946i | \(-0.866942\pi\) |
−0.439149 | + | 0.898414i | \(0.644720\pi\) | |||||||
\(230\) | 1.80846e10 | − | 6.58226e9i | 0.426122 | − | 0.155096i | ||||
\(231\) | 5.18258e10 | + | 6.25584e9i | 1.19755 | + | 0.144554i | ||||
\(232\) | −1.35734e10 | − | 7.69785e10i | −0.307604 | − | 1.74451i | ||||
\(233\) | 5.49051e9 | − | 9.50985e9i | 0.122043 | − | 0.211384i | −0.798530 | − | 0.601954i | \(-0.794389\pi\) |
0.920573 | + | 0.390570i | \(0.127722\pi\) | |||||||
\(234\) | 4.02082e8 | − | 9.13126e8i | 0.00876685 | − | 0.0199094i | ||||
\(235\) | 1.03390e10 | + | 1.79076e10i | 0.221142 | + | 0.383030i | ||||
\(236\) | −1.99503e9 | + | 1.67403e9i | −0.0418644 | + | 0.0351284i | ||||
\(237\) | −3.64926e10 | + | 8.50364e9i | −0.751341 | + | 0.175080i | ||||
\(238\) | 1.29644e10 | − | 7.35246e10i | 0.261912 | − | 1.48538i | ||||
\(239\) | 1.01925e10 | + | 8.55255e9i | 0.202065 | + | 0.169553i | 0.738205 | − | 0.674576i | \(-0.235674\pi\) |
−0.536140 | + | 0.844129i | \(0.680118\pi\) | |||||||
\(240\) | 2.93619e10 | − | 1.91533e10i | 0.571259 | − | 0.372644i | ||||
\(241\) | 6.82856e10 | + | 2.48539e10i | 1.30392 | + | 0.474590i | 0.898273 | − | 0.439438i | \(-0.144822\pi\) |
0.405651 | + | 0.914028i | \(0.367045\pi\) | |||||||
\(242\) | 4.32200e10 | 0.810057 | ||||||||
\(243\) | 5.26427e10 | + | 1.35301e10i | 0.968522 | + | 0.248928i | ||||
\(244\) | 1.97264e9 | 0.0356282 | ||||||||
\(245\) | 5.94108e9 | + | 2.16238e9i | 0.105346 | + | 0.0383428i | ||||
\(246\) | −2.13743e9 | + | 1.39429e9i | −0.0372121 | + | 0.0242741i | ||||
\(247\) | −1.50062e7 | − | 1.25917e7i | −0.000256528 | − | 0.000215253i | ||||
\(248\) | 5.16043e8 | − | 2.92663e9i | 0.00866270 | − | 0.0491286i | ||||
\(249\) | −8.08767e10 | + | 1.88462e10i | −1.33330 | + | 0.310689i | ||||
\(250\) | −4.99424e10 | + | 4.19066e10i | −0.808610 | + | 0.678505i | ||||
\(251\) | −3.06999e10 | − | 5.31738e10i | −0.488209 | − | 0.845602i | 0.511699 | − | 0.859165i | \(-0.329016\pi\) |
−0.999908 | + | 0.0135625i | \(0.995683\pi\) | |||||||
\(252\) | 2.32910e9 | − | 5.28936e9i | 0.0363819 | − | 0.0826229i | ||||
\(253\) | −2.99722e10 | + | 5.19133e10i | −0.459913 | + | 0.796593i | ||||
\(254\) | 4.79866e9 | + | 2.72145e10i | 0.0723382 | + | 0.410251i | ||||
\(255\) | −6.66062e10 | − | 8.03996e9i | −0.986470 | − | 0.119076i | ||||
\(256\) | −1.91179e10 | + | 6.95834e9i | −0.278202 | + | 0.101257i | ||||
\(257\) | 3.10164e10 | − | 1.12890e10i | 0.443498 | − | 0.161420i | −0.110612 | − | 0.993864i | \(-0.535281\pi\) |
0.554110 | + | 0.832444i | \(0.313059\pi\) | |||||||
\(258\) | 3.76016e10 | + | 8.80824e10i | 0.528345 | + | 1.23766i | ||||
\(259\) | −1.06154e10 | − | 6.02029e10i | −0.146584 | − | 0.831320i | ||||
\(260\) | −4.76669e7 | + | 8.25614e7i | −0.000646899 | + | 0.00112046i | ||||
\(261\) | −9.72943e10 | + | 1.01579e11i | −1.29779 | + | 1.35495i | ||||
\(262\) | −1.62718e10 | − | 2.81836e10i | −0.213344 | − | 0.369522i | ||||
\(263\) | −4.63109e10 | + | 3.88594e10i | −0.596873 | + | 0.500836i | −0.890439 | − | 0.455103i | \(-0.849603\pi\) |
0.293566 | + | 0.955939i | \(0.405158\pi\) | |||||||
\(264\) | −2.88117e10 | + | 9.49329e10i | −0.365049 | + | 1.20282i | ||||
\(265\) | −1.10679e10 | + | 6.27691e10i | −0.137866 | + | 0.781879i | ||||
\(266\) | −9.59297e8 | − | 8.04946e8i | −0.0117486 | − | 0.00985823i | ||||
\(267\) | 4.26773e10 | + | 2.16353e10i | 0.513921 | + | 0.260533i | ||||
\(268\) | −1.15131e10 | − | 4.19044e9i | −0.136329 | − | 0.0496196i | ||||
\(269\) | −1.69022e11 | −1.96815 | −0.984075 | − | 0.177753i | \(-0.943117\pi\) | ||||
−0.984075 | + | 0.177753i | \(0.943117\pi\) | |||||||
\(270\) | −5.36334e10 | − | 2.02112e10i | −0.614184 | − | 0.231449i | ||||
\(271\) | −7.95062e10 | −0.895445 | −0.447723 | − | 0.894173i | \(-0.647765\pi\) | ||||
−0.447723 | + | 0.894173i | \(0.647765\pi\) | |||||||
\(272\) | 1.46749e11 | + | 5.34123e10i | 1.62561 | + | 0.591672i | ||||
\(273\) | −9.38030e7 | − | 1.72245e9i | −0.00102208 | − | 0.0187679i | ||||
\(274\) | −8.32980e10 | − | 6.98953e10i | −0.892806 | − | 0.749153i | ||||
\(275\) | 1.33363e10 | − | 7.56341e10i | 0.140618 | − | 0.797482i | ||||
\(276\) | 4.53608e9 | + | 4.84445e9i | 0.0470533 | + | 0.0502521i | ||||
\(277\) | 6.80684e10 | − | 5.71162e10i | 0.694683 | − | 0.582908i | −0.225572 | − | 0.974226i | \(-0.572425\pi\) |
0.920255 | + | 0.391318i | \(0.127981\pi\) | |||||||
\(278\) | 3.68416e10 | + | 6.38115e10i | 0.369945 | + | 0.640763i | ||||
\(279\) | −4.79679e9 | + | 2.36389e9i | −0.0473949 | + | 0.0233565i | ||||
\(280\) | 2.75342e10 | − | 4.76906e10i | 0.267708 | − | 0.463683i | ||||
\(281\) | 3.56770e9 | + | 2.02335e10i | 0.0341358 | + | 0.193594i | 0.997107 | − | 0.0760104i | \(-0.0242182\pi\) |
−0.962971 | + | 0.269604i | \(0.913107\pi\) | |||||||
\(282\) | −4.72305e10 | + | 6.29444e10i | −0.444735 | + | 0.592702i | ||||
\(283\) | 1.82105e11 | − | 6.62809e10i | 1.68765 | − | 0.614256i | 0.693327 | − | 0.720623i | \(-0.256144\pi\) |
0.994327 | + | 0.106367i | \(0.0339220\pi\) | |||||||
\(284\) | −1.48237e10 | + | 5.39538e9i | −0.135215 | + | 0.0492141i | ||||
\(285\) | −6.75391e8 | + | 9.00099e8i | −0.00606392 | + | 0.00808143i | ||||
\(286\) | −5.69051e8 | − | 3.22725e9i | −0.00502926 | − | 0.0285223i | ||||
\(287\) | −2.20610e9 | + | 3.82108e9i | −0.0191936 | + | 0.0332443i | ||||
\(288\) | 1.92724e10 | + | 1.28850e10i | 0.165071 | + | 0.110362i | ||||
\(289\) | −9.01385e10 | − | 1.56125e11i | −0.760099 | − | 1.31653i | ||||
\(290\) | 1.13621e11 | − | 9.53395e10i | 0.943340 | − | 0.791556i | ||||
\(291\) | 1.47988e11 | + | 1.58049e11i | 1.20979 | + | 1.29203i | ||||
\(292\) | −3.23572e8 | + | 1.83507e9i | −0.00260464 | + | 0.0147717i | ||||
\(293\) | −1.88246e11 | − | 1.57957e11i | −1.49218 | − | 1.25209i | −0.891844 | − | 0.452342i | \(-0.850588\pi\) |
−0.600337 | − | 0.799747i | \(-0.704967\pi\) | |||||||
\(294\) | 1.30840e9 | + | 2.40254e10i | 0.0102135 | + | 0.187546i | ||||
\(295\) | 4.19606e10 | + | 1.52724e10i | 0.322584 | + | 0.117411i | ||||
\(296\) | 1.16179e11 | 0.879662 | ||||||||
\(297\) | 1.68437e11 | − | 5.91562e10i | 1.25613 | − | 0.441160i | ||||
\(298\) | −1.65929e10 | −0.121884 | ||||||||
\(299\) | 1.86139e9 | + | 6.77491e8i | 0.0134684 | + | 0.00490211i | ||||
\(300\) | −7.58399e9 | − | 3.84472e9i | −0.0540570 | − | 0.0274043i | ||||
\(301\) | 1.26845e11 | + | 1.06435e11i | 0.890682 | + | 0.747371i | ||||
\(302\) | −5.41044e9 | + | 3.06841e10i | −0.0374284 | + | 0.212267i | ||||
\(303\) | −5.81895e9 | + | 1.91731e10i | −0.0396600 | + | 0.130677i | ||||
\(304\) | 2.00660e9 | − | 1.68374e9i | 0.0134750 | − | 0.0113069i | ||||
\(305\) | −1.69114e10 | − | 2.92914e10i | −0.111900 | − | 0.193816i | ||||
\(306\) | −7.13799e10 | − | 2.45142e11i | −0.465403 | − | 1.59835i | ||||
\(307\) | −2.42335e10 | + | 4.19737e10i | −0.155702 | + | 0.269683i | −0.933314 | − | 0.359060i | \(-0.883097\pi\) |
0.777613 | + | 0.628744i | \(0.216431\pi\) | |||||||
\(308\) | −3.29628e9 | − | 1.86941e10i | −0.0208711 | − | 0.118366i | ||||
\(309\) | −3.41189e10 | − | 7.99242e10i | −0.212903 | − | 0.498730i | ||||
\(310\) | 5.29894e9 | − | 1.92866e9i | 0.0325883 | − | 0.0118612i | ||||
\(311\) | 2.35292e11 | − | 8.56394e10i | 1.42622 | − | 0.519101i | 0.490373 | − | 0.871512i | \(-0.336860\pi\) |
0.935845 | + | 0.352411i | \(0.114638\pi\) | |||||||
\(312\) | 3.25471e9 | + | 3.92872e8i | 0.0194454 | + | 0.00234723i | ||||
\(313\) | −4.27002e10 | − | 2.42165e11i | −0.251467 | − | 1.42614i | −0.804982 | − | 0.593299i | \(-0.797825\pi\) |
0.553516 | − | 0.832839i | \(-0.313286\pi\) | |||||||
\(314\) | −1.07919e11 | + | 1.86921e11i | −0.626490 | + | 1.08511i | ||||
\(315\) | −9.85079e10 | + | 1.07612e10i | −0.563733 | + | 0.0615833i | ||||
\(316\) | 6.81276e9 | + | 1.18000e10i | 0.0384354 | + | 0.0665720i | ||||
\(317\) | 9.58123e10 | − | 8.03961e10i | 0.532911 | − | 0.447165i | −0.336194 | − | 0.941793i | \(-0.609140\pi\) |
0.869105 | + | 0.494627i | \(0.164695\pi\) | |||||||
\(318\) | −2.36236e11 | + | 5.50485e10i | −1.29546 | + | 0.301873i | ||||
\(319\) | −8.02233e10 | + | 4.54969e11i | −0.433753 | + | 2.45994i | ||||
\(320\) | 7.92783e10 | + | 6.65224e10i | 0.422648 | + | 0.354644i | ||||
\(321\) | 1.61704e11 | − | 1.05482e11i | 0.850056 | − | 0.554508i | ||||
\(322\) | 1.18992e11 | + | 4.33097e10i | 0.616833 | + | 0.224509i | ||||
\(323\) | −5.01294e9 | −0.0256260 | ||||||||
\(324\) | −8.51364e8 | − | 1.97465e10i | −0.00429203 | − | 0.0995494i | ||||
\(325\) | −2.53787e9 | −0.0126181 | ||||||||
\(326\) | −3.29268e11 | − | 1.19844e11i | −1.61462 | − | 0.587674i | ||||
\(327\) | 3.39310e11 | − | 2.21338e11i | 1.64109 | − | 1.07051i | ||||
\(328\) | −6.42350e9 | − | 5.38996e9i | −0.0306436 | − | 0.0257130i | ||||
\(329\) | −2.36259e10 | + | 1.33989e11i | −0.111175 | + | 0.630504i | ||||
\(330\) | −1.83339e11 | + | 4.27223e10i | −0.851025 | + | 0.198309i | ||||
\(331\) | −2.47890e11 | + | 2.08004e11i | −1.13510 | + | 0.952459i | −0.999267 | − | 0.0382729i | \(-0.987814\pi\) |
−0.135829 | + | 0.990732i | \(0.543370\pi\) | |||||||
\(332\) | 1.50988e10 | + | 2.61519e10i | 0.0682057 | + | 0.118136i | ||||
\(333\) | −1.23574e11 | − | 1.68630e11i | −0.550717 | − | 0.751512i | ||||
\(334\) | 1.25516e11 | − | 2.17401e11i | 0.551876 | − | 0.955877i | ||||
\(335\) | 3.64787e10 | + | 2.06881e11i | 0.158248 | + | 0.897467i | ||||
\(336\) | 2.29002e11 | + | 2.76426e10i | 0.980196 | + | 0.118318i | ||||
\(337\) | −2.34667e11 | + | 8.54118e10i | −0.991100 | + | 0.360731i | −0.786146 | − | 0.618041i | \(-0.787927\pi\) |
−0.204954 | + | 0.978772i | \(0.565704\pi\) | |||||||
\(338\) | 2.36347e11 | − | 8.60232e10i | 0.984973 | − | 0.358501i | ||||
\(339\) | −3.32571e9 | − | 7.79054e9i | −0.0136768 | − | 0.0320382i | ||||
\(340\) | 4.23636e9 | + | 2.40256e10i | 0.0171924 | + | 0.0975031i | ||||
\(341\) | −8.78210e9 | + | 1.52110e10i | −0.0351725 | + | 0.0609206i | ||||
\(342\) | −4.15959e9 | − | 1.01905e9i | −0.0164412 | − | 0.00402788i | ||||
\(343\) | 1.36927e11 | + | 2.37165e11i | 0.534155 | + | 0.925183i | ||||
\(344\) | −2.41065e11 | + | 2.02278e11i | −0.928158 | + | 0.778817i | ||||
\(345\) | 3.30466e10 | − | 1.08887e11i | 0.125586 | − | 0.413799i | ||||
\(346\) | 4.02867e10 | − | 2.28477e11i | 0.151119 | − | 0.857038i | ||||
\(347\) | 1.80082e11 | + | 1.51107e11i | 0.666789 | + | 0.559503i | 0.912113 | − | 0.409939i | \(-0.134450\pi\) |
−0.245324 | + | 0.969441i | \(0.578894\pi\) | |||||||
\(348\) | 4.56207e10 | + | 2.31275e10i | 0.166746 | + | 0.0845321i | ||||
\(349\) | 1.69174e11 | + | 6.15744e10i | 0.610407 | + | 0.222170i | 0.628681 | − | 0.777663i | \(-0.283595\pi\) |
−0.0182742 | + | 0.999833i | \(0.505817\pi\) | |||||||
\(350\) | −1.62238e11 | −0.577890 | ||||||||
\(351\) | −2.89163e9 | − | 5.14198e9i | −0.0101686 | − | 0.0180821i | ||||
\(352\) | 7.61441e10 | 0.264359 | ||||||||
\(353\) | −3.23489e11 | − | 1.17740e11i | −1.10885 | − | 0.403589i | −0.278279 | − | 0.960500i | \(-0.589764\pi\) |
−0.830572 | + | 0.556911i | \(0.811986\pi\) | |||||||
\(354\) | 9.24092e9 | + | 1.69686e11i | 0.0312752 | + | 0.574290i | ||||
\(355\) | 2.07198e11 | + | 1.73860e11i | 0.692401 | + | 0.580993i | ||||
\(356\) | 3.02135e9 | − | 1.71349e10i | 0.00996956 | − | 0.0565402i | ||||
\(357\) | −3.01717e11 | − | 3.22228e11i | −0.983090 | − | 1.04992i | ||||
\(358\) | −4.36503e11 | + | 3.66270e11i | −1.40447 | + | 1.17849i | ||||
\(359\) | 1.14041e11 | + | 1.97525e11i | 0.362358 | + | 0.627622i | 0.988348 | − | 0.152209i | \(-0.0486386\pi\) |
−0.625991 | + | 0.779830i | \(0.715305\pi\) | |||||||
\(360\) | 1.23683e10 | − | 1.87919e11i | 0.0388106 | − | 0.589671i | ||||
\(361\) | 1.61302e11 | − | 2.79383e11i | 0.499870 | − | 0.865800i | ||||
\(362\) | −5.50049e10 | − | 3.11948e11i | −0.168350 | − | 0.954760i | ||||
\(363\) | 1.53374e11 | − | 2.04403e11i | 0.463630 | − | 0.617883i | ||||
\(364\) | −5.89444e8 | + | 2.14540e8i | −0.00175989 | + | 0.000640549i | ||||
\(365\) | 3.00225e10 | − | 1.09273e10i | 0.0885379 | − | 0.0322252i | ||||
\(366\) | 7.72546e10 | − | 1.02958e11i | 0.225040 | − | 0.299912i | ||||
\(367\) | −4.52408e10 | − | 2.56573e11i | −0.130177 | − | 0.738269i | −0.978098 | − | 0.208146i | \(-0.933257\pi\) |
0.847921 | − | 0.530123i | \(-0.177854\pi\) | |||||||
\(368\) | −1.32438e11 | + | 2.29389e11i | −0.376441 | + | 0.652015i | ||||
\(369\) | −9.90980e8 | + | 1.50565e10i | −0.00278257 | + | 0.0422772i | ||||
\(370\) | 1.10226e11 | + | 1.90918e11i | 0.305758 | + | 0.529589i | ||||
\(371\) | −3.21262e11 | + | 2.69570e11i | −0.880392 | + | 0.738737i | ||||
\(372\) | 1.32911e9 | + | 1.41947e9i | 0.00359847 | + | 0.00384310i | ||||
\(373\) | −6.72680e9 | + | 3.81496e10i | −0.0179936 | + | 0.102047i | −0.992482 | − | 0.122391i | \(-0.960944\pi\) |
0.974488 | + | 0.224438i | \(0.0720548\pi\) | |||||||
\(374\) | −6.42407e11 | − | 5.39044e11i | −1.69781 | − | 1.42463i | ||||
\(375\) | 2.09617e10 | + | 3.84908e11i | 0.0547376 | + | 1.00512i | ||||
\(376\) | −2.42978e11 | − | 8.84366e10i | −0.626933 | − | 0.228185i | ||||
\(377\) | 1.52663e10 | 0.0389222 | ||||||||
\(378\) | −1.84852e11 | − | 3.28709e11i | −0.465706 | − | 0.828131i | ||||
\(379\) | −8.58744e10 | −0.213790 | −0.106895 | − | 0.994270i | \(-0.534091\pi\) | ||||
−0.106895 | + | 0.994270i | \(0.534091\pi\) | |||||||
\(380\) | 3.84526e8 | + | 1.39956e8i | 0.000946018 | + | 0.000344322i | ||||
\(381\) | 1.45736e11 | + | 7.38811e10i | 0.354327 | + | 0.179627i | ||||
\(382\) | 5.28503e11 | + | 4.43467e11i | 1.26988 | + | 1.06556i | ||||
\(383\) | −7.54514e10 | + | 4.27906e11i | −0.179173 | + | 1.01614i | 0.754043 | + | 0.656825i | \(0.228101\pi\) |
−0.933216 | + | 0.359316i | \(0.883010\pi\) | |||||||
\(384\) | −1.38951e11 | + | 4.57836e11i | −0.326116 | + | 1.07453i | ||||
\(385\) | −2.49326e11 | + | 2.09210e11i | −0.578356 | + | 0.485298i | ||||
\(386\) | 9.79652e10 | + | 1.69681e11i | 0.224610 | + | 0.389036i | ||||
\(387\) | 5.50009e11 | + | 1.34745e11i | 1.24644 | + | 0.305361i | ||||
\(388\) | 3.93668e10 | − | 6.81853e10i | 0.0881835 | − | 0.152738i | ||||
\(389\) | −1.05692e11 | − | 5.99410e11i | −0.234029 | − | 1.32724i | −0.844649 | − | 0.535320i | \(-0.820191\pi\) |
0.610620 | − | 0.791924i | \(-0.290920\pi\) | |||||||
\(390\) | 2.44234e9 | + | 5.72122e9i | 0.00534583 | + | 0.0125227i | ||||
\(391\) | 4.76336e11 | − | 1.73372e11i | 1.03067 | − | 0.375131i | ||||
\(392\) | −7.42914e10 | + | 2.70399e10i | −0.158910 | + | 0.0578385i | ||||
\(393\) | −1.91034e11 | − | 2.30595e10i | −0.403965 | − | 0.0487621i | ||||
\(394\) | 6.08470e10 | + | 3.45081e11i | 0.127206 | + | 0.721419i | ||||
\(395\) | 1.16811e11 | − | 2.02323e11i | 0.241433 | − | 0.418175i | ||||
\(396\) | −3.83720e10 | − | 5.23628e10i | −0.0784127 | − | 0.107003i | ||||
\(397\) | −6.26424e10 | − | 1.08500e11i | −0.126564 | − | 0.219216i | 0.795779 | − | 0.605587i | \(-0.207062\pi\) |
−0.922343 | + | 0.386371i | \(0.873728\pi\) | |||||||
\(398\) | 6.80005e11 | − | 5.70592e11i | 1.35843 | − | 1.13986i | ||||
\(399\) | −7.21111e9 | + | 1.68036e9i | −0.0142437 | + | 0.00331913i | ||||
\(400\) | 5.89292e10 | − | 3.34204e11i | 0.115096 | − | 0.652742i | ||||
\(401\) | 4.22849e11 | + | 3.54812e11i | 0.816649 | + | 0.685250i | 0.952185 | − | 0.305522i | \(-0.0988311\pi\) |
−0.135536 | + | 0.990772i | \(0.543276\pi\) | |||||||
\(402\) | −6.69600e11 | + | 4.36793e11i | −1.27879 | + | 0.834178i | ||||
\(403\) | 5.45403e8 | + | 1.98511e8i | 0.00103002 | + | 0.000374896i | ||||
\(404\) | 7.28604e9 | 0.0136074 | ||||||||
\(405\) | −2.85914e11 | + | 1.81928e11i | −0.528065 | + | 0.336010i | ||||
\(406\) | 9.75923e11 | 1.78258 | ||||||||
\(407\) | −6.45248e11 | − | 2.34851e11i | −1.16561 | − | 0.424246i | ||||
\(408\) | 7.02655e11 | − | 4.58356e11i | 1.25537 | − | 0.818902i | ||||
\(409\) | −4.54913e11 | − | 3.81717e11i | −0.803847 | − | 0.674507i | 0.145284 | − | 0.989390i | \(-0.453590\pi\) |
−0.949131 | + | 0.314883i | \(0.898035\pi\) | |||||||
\(410\) | 2.76297e9 | − | 1.56696e10i | 0.00482890 | − | 0.0273861i | ||||
\(411\) | −6.26158e11 | + | 1.45909e11i | −1.08242 | + | 0.252229i | ||||
\(412\) | −2.42075e10 | + | 2.03125e10i | −0.0413917 | + | 0.0347318i | ||||
\(413\) | 1.46905e11 | + | 2.54447e11i | 0.248463 | + | 0.430350i | ||||
\(414\) | 4.30492e11 | − | 4.70278e10i | 0.720218 | − | 0.0786780i | ||||
\(415\) | 2.58883e11 | − | 4.48398e11i | 0.428436 | − | 0.742073i | ||||
\(416\) | −4.36928e8 | − | 2.47794e9i | −0.000715303 | − | 0.00405668i | ||||
\(417\) | 4.32526e11 | + | 5.22097e10i | 0.700487 | + | 0.0845550i | ||||
\(418\) | −1.32178e10 | + | 4.81089e9i | −0.0211771 | + | 0.00770784i | ||||
\(419\) | 1.02237e12 | − | 3.72111e11i | 1.62048 | − | 0.589807i | 0.637007 | − | 0.770858i | \(-0.280172\pi\) |
0.983474 | + | 0.181052i | \(0.0579502\pi\) | |||||||
\(420\) | 1.41474e10 | + | 3.31407e10i | 0.0221848 | + | 0.0519684i | ||||
\(421\) | −7.85148e10 | − | 4.45280e11i | −0.121810 | − | 0.690817i | −0.983152 | − | 0.182792i | \(-0.941487\pi\) |
0.861342 | − | 0.508026i | \(-0.169625\pi\) | |||||||
\(422\) | −9.77948e10 | + | 1.69386e11i | −0.150110 | + | 0.259998i | ||||
\(423\) | 1.30080e11 | + | 4.46739e11i | 0.197552 | + | 0.678457i | ||||
\(424\) | −3.98508e11 | − | 6.90237e11i | −0.598813 | − | 1.03717i | ||||
\(425\) | −4.97507e11 | + | 4.17458e11i | −0.739689 | + | 0.620673i | ||||
\(426\) | −2.98940e11 | + | 9.84990e11i | −0.439785 | + | 1.44907i | ||||
\(427\) | 3.86447e10 | − | 2.19165e11i | 0.0562554 | − | 0.319040i | ||||
\(428\) | −5.37808e10 | − | 4.51274e10i | −0.0774694 | − | 0.0650045i | ||||
\(429\) | −1.72822e10 | − | 8.76123e9i | −0.0246343 | − | 0.0124884i | ||||
\(430\) | −5.61118e11 | − | 2.04230e11i | −0.791491 | − | 0.288079i | ||||
\(431\) | 3.23263e11 | 0.451241 | 0.225620 | − | 0.974215i | \(-0.427559\pi\) | ||||
0.225620 | + | 0.974215i | \(0.427559\pi\) | |||||||
\(432\) | 7.44273e11 | − | 2.61393e11i | 1.02815 | − | 0.361091i | ||||
\(433\) | 9.86284e10 | 0.134836 | 0.0674181 | − | 0.997725i | \(-0.478524\pi\) | ||||
0.0674181 | + | 0.997725i | \(0.478524\pi\) | |||||||
\(434\) | 3.48658e10 | + | 1.26901e10i | 0.0471732 | + | 0.0171697i | ||||
\(435\) | −4.76888e10 | − | 8.75684e11i | −0.0638579 | − | 1.17259i | ||||
\(436\) | −1.12850e11 | − | 9.46928e10i | −0.149559 | − | 0.125495i | ||||
\(437\) | 1.47644e9 | − | 8.37330e9i | 0.00193664 | − | 0.0109832i | ||||
\(438\) | 8.31053e10 | + | 8.87549e10i | 0.107893 | + | 0.115228i | ||||
\(439\) | −1.67490e11 | + | 1.40541e11i | −0.215228 | + | 0.180598i | −0.744028 | − | 0.668149i | \(-0.767087\pi\) |
0.528799 | + | 0.848747i | \(0.322642\pi\) | |||||||
\(440\) | −3.09277e11 | − | 5.35683e11i | −0.393378 | − | 0.681350i | ||||
\(441\) | 1.18267e11 | + | 7.90705e10i | 0.148899 | + | 0.0995499i | ||||
\(442\) | −1.38557e10 | + | 2.39989e10i | −0.0172675 | + | 0.0299082i | ||||
\(443\) | −4.85196e10 | − | 2.75168e11i | −0.0598550 | − | 0.339455i | 0.940144 | − | 0.340777i | \(-0.110690\pi\) |
−0.999999 | + | 0.00132255i | \(0.999579\pi\) | |||||||
\(444\) | −4.56270e10 | + | 6.08074e10i | −0.0557184 | + | 0.0742563i | ||||
\(445\) | −2.80335e11 | + | 1.02034e11i | −0.338889 | + | 0.123345i | ||||
\(446\) | 4.25430e11 | − | 1.54844e11i | 0.509121 | − | 0.185305i | ||||
\(447\) | −5.88827e10 | + | 7.84735e10i | −0.0697596 | + | 0.0929692i | ||||
\(448\) | 1.18244e11 | + | 6.70598e11i | 0.138685 | + | 0.786522i | ||||
\(449\) | 1.50042e11 | − | 2.59881e11i | 0.174223 | − | 0.301763i | −0.765669 | − | 0.643234i | \(-0.777592\pi\) |
0.939892 | + | 0.341472i | \(0.110925\pi\) | |||||||
\(450\) | −4.97679e11 | + | 2.45259e11i | −0.572127 | + | 0.281948i | ||||
\(451\) | 2.47800e10 | + | 4.29201e10i | 0.0282037 | + | 0.0488502i | ||||
\(452\) | −2.35961e9 | + | 1.97994e9i | −0.00265899 | + | 0.00223116i | ||||
\(453\) | 1.25916e11 | + | 1.34476e11i | 0.140488 | + | 0.150039i | ||||
\(454\) | −1.06798e11 | + | 6.05682e11i | −0.117981 | + | 0.669103i | ||||
\(455\) | 8.23895e9 | + | 6.91330e9i | 0.00901199 | + | 0.00756195i | ||||
\(456\) | −7.65196e8 | − | 1.40509e10i | −0.000828764 | − | 0.0152182i | ||||
\(457\) | −1.33541e12 | − | 4.86048e11i | −1.43216 | − | 0.521262i | −0.494607 | − | 0.869116i | \(-0.664688\pi\) |
−0.937549 | + | 0.347854i | \(0.886910\pi\) | |||||||
\(458\) | 1.42183e12 | 1.50991 | ||||||||
\(459\) | −1.41267e12 | − | 5.32350e11i | −1.48553 | − | 0.559809i | ||||
\(460\) | −4.13785e10 | −0.0430888 | ||||||||
\(461\) | 9.27676e11 | + | 3.37647e11i | 0.956626 | + | 0.348183i | 0.772711 | − | 0.634759i | \(-0.218900\pi\) |
0.183916 | + | 0.982942i | \(0.441123\pi\) | |||||||
\(462\) | −1.10479e12 | − | 5.60076e11i | −1.12821 | − | 0.571950i | ||||
\(463\) | −3.93681e11 | − | 3.30337e11i | −0.398134 | − | 0.334074i | 0.421638 | − | 0.906764i | \(-0.361455\pi\) |
−0.819772 | + | 0.572690i | \(0.805900\pi\) | |||||||
\(464\) | −3.54482e11 | + | 2.01037e12i | −0.355029 | + | 2.01347i | ||||
\(465\) | 9.68295e9 | − | 3.19047e10i | 0.00960438 | − | 0.0316459i | ||||
\(466\) | −1.99599e11 | + | 1.67483e11i | −0.196074 | + | 0.164526i | ||||
\(467\) | 6.89524e11 | + | 1.19429e12i | 0.670847 | + | 1.16194i | 0.977664 | + | 0.210172i | \(0.0674025\pi\) |
−0.306817 | + | 0.951768i | \(0.599264\pi\) | |||||||
\(468\) | −1.48385e9 | + | 1.54920e9i | −0.00142982 | + | 0.00149280i | ||||
\(469\) | −6.91113e11 | + | 1.19704e12i | −0.659586 | + | 1.14244i | ||||
\(470\) | −8.51997e10 | − | 4.83192e11i | −0.0805374 | − | 0.456750i | ||||
\(471\) | 5.01045e11 | + | 1.17371e12i | 0.469119 | + | 1.09892i | ||||
\(472\) | −5.24704e11 | + | 1.90977e11i | −0.486604 | + | 0.177109i | ||||
\(473\) | 1.74775e12 | − | 6.36129e11i | 1.60548 | − | 0.584346i | ||||
\(474\) | 8.82686e11 | + | 1.06548e11i | 0.803163 | + | 0.0969490i | ||||
\(475\) | 1.89162e9 | + | 1.07279e10i | 0.00170495 | + | 0.00966926i | ||||
\(476\) | −8.02606e10 | + | 1.39015e11i | −0.0716591 | + | 0.124117i | ||||
\(477\) | −5.77981e11 | + | 1.31259e12i | −0.511189 | + | 1.16091i | ||||
\(478\) | −1.57855e11 | − | 2.73413e11i | −0.138303 | − | 0.239549i | ||||
\(479\) | −4.83136e11 | + | 4.05399e11i | −0.419334 | + | 0.351863i | −0.827910 | − | 0.560862i | \(-0.810470\pi\) |
0.408576 | + | 0.912724i | \(0.366026\pi\) | |||||||
\(480\) | −1.40771e11 | + | 3.28030e10i | −0.121040 | + | 0.0282052i | ||||
\(481\) | −3.94017e9 | + | 2.23458e10i | −0.00335631 | + | 0.0190346i | ||||
\(482\) | −1.32086e12 | − | 1.10834e12i | −1.11467 | − | 0.935319i | ||||
\(483\) | 6.27093e11 | − | 4.09065e11i | 0.524288 | − | 0.342003i | ||||
\(484\) | −8.73216e10 | − | 3.17825e10i | −0.0723299 | − | 0.0263259i | ||||
\(485\) | −1.34996e12 | −1.10786 | ||||||||
\(486\) | −1.06397e12 | − | 7.28899e11i | −0.865100 | − | 0.592658i | ||||
\(487\) | −1.35575e12 | −1.09219 | −0.546097 | − | 0.837722i | \(-0.683887\pi\) | ||||
−0.546097 | + | 0.837722i | \(0.683887\pi\) | |||||||
\(488\) | 3.97437e11 | + | 1.44655e11i | 0.317233 | + | 0.115464i | ||||
\(489\) | −1.73525e12 | + | 1.13194e12i | −1.37237 | + | 0.895225i | ||||
\(490\) | −1.14920e11 | − | 9.64290e10i | −0.0900558 | − | 0.0755658i | ||||
\(491\) | 1.08359e11 | − | 6.14534e11i | 0.0841391 | − | 0.477177i | −0.913400 | − | 0.407063i | \(-0.866553\pi\) |
0.997539 | − | 0.0701133i | \(-0.0223361\pi\) | |||||||
\(492\) | 5.34377e9 | − | 1.24522e9i | 0.00411154 | − | 0.000958086i | ||||
\(493\) | 2.99270e12 | − | 2.51117e12i | 2.28167 | − | 1.91455i | ||||
\(494\) | 2.32406e8 | + | 4.02539e8i | 0.000175581 | + | 0.000304114i | ||||
\(495\) | −4.48563e11 | + | 1.01868e12i | −0.335815 | + | 0.762633i | ||||
\(496\) | −3.88054e10 | + | 6.72129e10i | −0.0287889 | + | 0.0498638i | ||||
\(497\) | 3.09038e11 | + | 1.75264e12i | 0.227200 | + | 1.28851i | ||||
\(498\) | 1.95625e12 | + | 2.36137e11i | 1.42526 | + | 0.172041i | ||||
\(499\) | −3.41705e11 | + | 1.24370e11i | −0.246717 | + | 0.0897976i | −0.462419 | − | 0.886662i | \(-0.653018\pi\) |
0.215702 | + | 0.976459i | \(0.430796\pi\) | |||||||
\(500\) | 1.31720e11 | − | 4.79422e10i | 0.0942513 | − | 0.0343047i | ||||
\(501\) | −5.82748e11 | − | 1.36510e12i | −0.413248 | − | 0.968041i | ||||
\(502\) | 2.52987e11 | + | 1.43476e12i | 0.177800 | + | 1.00835i | ||||
\(503\) | 1.11783e11 | − | 1.93614e11i | 0.0778610 | − | 0.134859i | −0.824466 | − | 0.565912i | \(-0.808524\pi\) |
0.902327 | + | 0.431053i | \(0.141858\pi\) | |||||||
\(504\) | 8.57125e11 | − | 8.94876e11i | 0.591707 | − | 0.617768i | ||||
\(505\) | −6.24629e10 | − | 1.08189e11i | −0.0427377 | − | 0.0740239i | ||||
\(506\) | 1.08959e12 | − | 9.14274e11i | 0.738899 | − | 0.620010i | ||||
\(507\) | 4.31885e11 | − | 1.42304e12i | 0.290290 | − | 0.956489i | ||||
\(508\) | 1.03174e10 | − | 5.85130e10i | 0.00687360 | − | 0.0389821i | ||||
\(509\) | −1.09210e12 | − | 9.16384e11i | −0.721164 | − | 0.605128i | 0.206543 | − | 0.978437i | \(-0.433779\pi\) |
−0.927707 | + | 0.373309i | \(0.878223\pi\) | |||||||
\(510\) | 1.41987e12 | + | 7.19806e11i | 0.929358 | + | 0.471140i | ||||
\(511\) | 1.97541e11 | + | 7.18991e10i | 0.128163 | + | 0.0466476i | ||||
\(512\) | −1.26335e12 | −0.812474 | ||||||||
\(513\) | −1.95805e10 | + | 1.60559e10i | −0.0124823 | + | 0.0102354i | ||||
\(514\) | −7.83188e11 | −0.494916 | ||||||||
\(515\) | 5.09147e11 | + | 1.85314e11i | 0.318941 | + | 0.116085i | ||||
\(516\) | −1.11974e10 | − | 2.05612e11i | −0.00695336 | − | 0.127681i | ||||
\(517\) | 1.17070e12 | + | 9.82337e11i | 0.720675 | + | 0.604718i | ||||
\(518\) | −2.51882e11 | + | 1.42849e12i | −0.153714 | + | 0.871754i | ||||
\(519\) | −9.37584e11 | − | 1.00132e12i | −0.567227 | − | 0.605788i | ||||
\(520\) | −1.56579e10 | + | 1.31386e10i | −0.00939116 | + | 0.00788012i | ||||
\(521\) | −1.52682e12 | − | 2.64452e12i | −0.907856 | − | 1.57245i | −0.817037 | − | 0.576585i | \(-0.804385\pi\) |
−0.0908193 | − | 0.995867i | \(-0.528949\pi\) | |||||||
\(522\) | 2.99373e12 | − | 1.47533e12i | 1.76480 | − | 0.869706i | ||||
\(523\) | 5.36074e11 | − | 9.28507e11i | 0.313305 | − | 0.542660i | −0.665771 | − | 0.746156i | \(-0.731897\pi\) |
0.979076 | + | 0.203496i | \(0.0652305\pi\) | |||||||
\(524\) | 1.21503e10 | + | 6.89078e10i | 0.00704039 | + | 0.0399280i | ||||
\(525\) | −5.75730e11 | + | 7.67279e11i | −0.330751 | + | 0.440795i | ||||
\(526\) | 1.34796e12 | − | 4.90616e11i | 0.767785 | − | 0.279451i | ||||
\(527\) | 1.39570e11 | − | 5.07995e10i | 0.0788216 | − | 0.0286887i | ||||
\(528\) | 1.55503e12 | − | 2.07240e12i | 0.870734 | − | 1.16043i | ||||
\(529\) | −1.63470e11 | − | 9.27086e11i | −0.0907587 | − | 0.514718i | ||||
\(530\) | 7.56180e11 | − | 1.30974e12i | 0.416278 | − | 0.721015i | ||||
\(531\) | 8.35298e11 | + | 5.58458e11i | 0.455949 | + | 0.304835i | ||||
\(532\) | 1.34623e9 | + | 2.33174e9i | 0.000728648 | + | 0.00126206i | ||||
\(533\) | 1.25455e9 | − | 1.05269e9i | 0.000673311 | − | 0.000564975i | ||||
\(534\) | −7.75995e11 | − | 8.28748e11i | −0.412975 | − | 0.441049i | ||||
\(535\) | −2.09028e11 | + | 1.18546e12i | −0.110309 | + | 0.625595i | ||||
\(536\) | −2.01231e12 | − | 1.68853e12i | −1.05306 | − | 0.883625i | ||||
\(537\) | 1.83208e11 | + | 3.36415e12i | 0.0950737 | + | 1.74579i | ||||
\(538\) | 3.76869e12 | + | 1.37169e12i | 1.93941 | + | 0.705888i | ||||
\(539\) | 4.67267e11 | 0.238460 | ||||||||
\(540\) | 9.34983e10 | + | 8.02749e10i | 0.0473186 | + | 0.0406264i | ||||
\(541\) | 2.23544e12 | 1.12195 | 0.560977 | − | 0.827832i | \(-0.310426\pi\) | ||||
0.560977 | + | 0.827832i | \(0.310426\pi\) | |||||||
\(542\) | 1.77275e12 | + | 6.45228e11i | 0.882369 | + | 0.321156i | ||||
\(543\) | −1.67051e12 | − | 8.46867e11i | −0.824612 | − | 0.418038i | ||||
\(544\) | −4.93253e11 | − | 4.13888e11i | −0.241476 | − | 0.202623i | ||||
\(545\) | −4.38612e11 | + | 2.48749e12i | −0.212959 | + | 1.20775i | ||||
\(546\) | −1.18870e10 | + | 3.91668e10i | −0.00572405 | + | 0.0188604i | ||||
\(547\) | 1.61476e12 | − | 1.35494e12i | 0.771195 | − | 0.647109i | −0.169820 | − | 0.985475i | \(-0.554319\pi\) |
0.941015 | + | 0.338366i | \(0.109874\pi\) | |||||||
\(548\) | 1.16897e11 | + | 2.02471e11i | 0.0553719 | + | 0.0959069i | ||||
\(549\) | −2.12772e11 | − | 7.30729e11i | −0.0999628 | − | 0.343305i | ||||
\(550\) | −9.11165e11 | + | 1.57818e12i | −0.424585 | + | 0.735403i | ||||
\(551\) | −1.13788e10 | − | 6.45325e10i | −0.00525915 | − | 0.0298261i | ||||
\(552\) | 5.58658e11 | + | 1.30867e12i | 0.256106 | + | 0.599934i | ||||
\(553\) | 1.44448e12 | − | 5.25746e11i | 0.656821 | − | 0.239063i | ||||
\(554\) | −1.98124e12 | + | 7.21114e11i | −0.893602 | + | 0.325245i | ||||
\(555\) | 1.29408e12 | + | 1.56207e11i | 0.578950 | + | 0.0698845i | ||||
\(556\) | −2.75099e10 | − | 1.56017e11i | −0.0122082 | − | 0.0692364i | ||||
\(557\) | −1.25471e12 | + | 2.17322e12i | −0.552326 | + | 0.956656i | 0.445781 | + | 0.895142i | \(0.352926\pi\) |
−0.998106 | + | 0.0615137i | \(0.980407\pi\) | |||||||
\(558\) | 1.26138e11 | − | 1.37795e10i | 0.0550797 | − | 0.00601701i | ||||
\(559\) | −3.07303e10 | − | 5.32264e10i | −0.0133111 | − | 0.0230555i | ||||
\(560\) | −1.10170e12 | + | 9.24433e11i | −0.473387 | + | 0.397219i | ||||
\(561\) | −4.82902e12 | + | 1.12528e12i | −2.05838 | + | 0.479652i | ||||
\(562\) | 8.46544e10 | − | 4.80099e11i | 0.0357961 | − | 0.203010i | ||||
\(563\) | −3.49371e12 | − | 2.93157e12i | −1.46554 | − | 1.22974i | −0.920156 | − | 0.391552i | \(-0.871938\pi\) |
−0.545387 | − | 0.838184i | \(-0.683617\pi\) | |||||||
\(564\) | 1.41712e11 | − | 9.24412e10i | 0.0589725 | − | 0.0384689i | ||||
\(565\) | 4.96286e10 | + | 1.80633e10i | 0.0204887 | + | 0.00745727i | ||||
\(566\) | −4.59830e12 | −1.88332 | ||||||||
\(567\) | −2.21056e12 | − | 2.92253e11i | −0.898213 | − | 0.118750i | ||||
\(568\) | −3.38224e12 | −1.36344 | ||||||||
\(569\) | −2.34120e11 | − | 8.52126e10i | −0.0936338 | − | 0.0340799i | 0.294778 | − | 0.955566i | \(-0.404754\pi\) |
−0.388412 | + | 0.921486i | \(0.626976\pi\) | |||||||
\(570\) | 2.23639e10 | − | 1.45884e10i | 0.00887382 | − | 0.00578857i | ||||
\(571\) | −1.93473e12 | − | 1.62343e12i | −0.761656 | − | 0.639105i | 0.176902 | − | 0.984229i | \(-0.443393\pi\) |
−0.938557 | + | 0.345123i | \(0.887837\pi\) | |||||||
\(572\) | −1.22350e9 | + | 6.93879e9i | −0.000477881 | + | 0.00271020i | ||||
\(573\) | 3.97280e12 | − | 9.25756e11i | 1.53958 | − | 0.358757i | ||||
\(574\) | 8.01992e10 | − | 6.72951e10i | 0.0308366 | − | 0.0258750i | ||||
\(575\) | −5.50767e11 | − | 9.53956e11i | −0.210118 | − | 0.363934i | ||||
\(576\) | 1.37649e12 | + | 1.87837e12i | 0.521040 | + | 0.711015i | ||||
\(577\) | −2.35385e12 | + | 4.07699e12i | −0.884072 | + | 1.53126i | −0.0372978 | + | 0.999304i | \(0.511875\pi\) |
−0.846774 | + | 0.531953i | \(0.821458\pi\) | |||||||
\(578\) | 7.42799e11 | + | 4.21262e12i | 0.276819 | + | 1.56992i | ||||
\(579\) | 1.15013e12 | + | 1.38831e11i | 0.425297 | + | 0.0513371i | ||||
\(580\) | −2.99669e11 | + | 1.09071e11i | −0.109955 | + | 0.0400205i | ||||
\(581\) | 3.20132e12 | − | 1.16518e12i | 1.16556 | − | 0.424231i | ||||
\(582\) | −2.01706e12 | − | 4.72501e12i | −0.728728 | − | 1.70706i | ||||
\(583\) | 8.17994e11 | + | 4.63908e12i | 0.293252 | + | 1.66312i | ||||
\(584\) | −1.99758e11 | + | 3.45991e11i | −0.0710635 | + | 0.123086i | ||||
\(585\) | 3.57247e10 | + | 8.75211e9i | 0.0126115 | + | 0.00308967i | ||||
\(586\) | 2.91543e12 | + | 5.04967e12i | 1.02132 | + | 1.76898i | ||||
\(587\) | 1.57495e12 | − | 1.32154e12i | 0.547513 | − | 0.459418i | −0.326585 | − | 0.945168i | \(-0.605898\pi\) |
0.874098 | + | 0.485750i | \(0.161453\pi\) | |||||||
\(588\) | 1.50239e10 | − | 4.95030e10i | 0.00518305 | − | 0.0170779i | ||||
\(589\) | 4.32609e8 | − | 2.45345e9i | 0.000148107 | − | 0.000839958i | ||||
\(590\) | −8.11653e11 | − | 6.81058e11i | −0.275763 | − | 0.231393i | ||||
\(591\) | 1.84793e12 | + | 9.36813e11i | 0.623078 | + | 0.315871i | ||||
\(592\) | −2.85115e12 | − | 1.03773e12i | −0.954054 | − | 0.347247i | ||||
\(593\) | 5.03859e12 | 1.67326 | 0.836628 | − | 0.547771i | \(-0.184523\pi\) | ||||
0.836628 | + | 0.547771i | \(0.184523\pi\) | |||||||
\(594\) | −4.23573e12 | − | 4.79391e10i | −1.39601 | − | 0.0157998i | ||||
\(595\) | 2.75229e12 | 0.900258 | ||||||||
\(596\) | 3.35242e10 | + | 1.22018e10i | 0.0108830 | + | 0.00396110i | ||||
\(597\) | −2.85410e11 | − | 5.24083e12i | −0.0919570 | − | 1.68856i | ||||
\(598\) | −3.60053e10 | − | 3.02120e10i | −0.0115136 | − | 0.00966105i | ||||
\(599\) | −2.21300e11 | + | 1.25506e12i | −0.0702362 | + | 0.398329i | 0.929340 | + | 0.369225i | \(0.120377\pi\) |
−0.999576 | + | 0.0291046i | \(0.990734\pi\) | |||||||
\(600\) | −1.24604e12 | − | 1.33075e12i | −0.392512 | − | 0.419195i | ||||
\(601\) | 3.57897e12 | − | 3.00311e12i | 1.11898 | − | 0.938937i | 0.120429 | − | 0.992722i | \(-0.461573\pi\) |
0.998553 | + | 0.0537849i | \(0.0171285\pi\) | |||||||
\(602\) | −1.96449e12 | − | 3.40259e12i | −0.609627 | − | 1.05591i | ||||
\(603\) | −3.10448e11 | + | 4.71681e12i | −0.0956227 | + | 1.45285i | ||||
\(604\) | 3.34953e10 | − | 5.80155e10i | 0.0102404 | − | 0.0177369i | ||||
\(605\) | 2.76673e11 | + | 1.56909e12i | 0.0839591 | + | 0.476156i | ||||
\(606\) | 2.85343e11 | − | 3.80279e11i | 0.0859490 | − | 0.114545i | ||||
\(607\) | −3.36490e12 | + | 1.22473e12i | −1.00606 | + | 0.366176i | −0.791918 | − | 0.610627i | \(-0.790917\pi\) |
−0.214141 | + | 0.976803i | \(0.568695\pi\) | |||||||
\(608\) | −1.01489e10 | + | 3.69390e9i | −0.00301199 | + | 0.00109627i | ||||
\(609\) | 3.46324e12 | − | 4.61548e12i | 1.02025 | − | 1.35969i | ||||
\(610\) | 1.39361e11 | + | 7.90353e11i | 0.0407527 | + | 0.231120i | ||||
\(611\) | 2.52503e10 | − | 4.37348e10i | 0.00732961 | − | 0.0126953i | ||||
\(612\) | −3.60531e10 | + | 5.47775e11i | −0.0103887 | + | 0.157841i | ||||
\(613\) | −8.06728e11 | − | 1.39729e12i | −0.230757 | − | 0.399683i | 0.727274 | − | 0.686347i | \(-0.240787\pi\) |
−0.958031 | + | 0.286664i | \(0.907454\pi\) | |||||||
\(614\) | 8.80970e11 | − | 7.39221e11i | 0.250152 | − | 0.209902i | ||||
\(615\) | −6.43020e10 | − | 6.86733e10i | −0.0181254 | − | 0.0193575i | ||||
\(616\) | 7.06737e11 | − | 4.00810e12i | 0.197763 | − | 1.12157i | ||||
\(617\) | 1.42050e12 | + | 1.19195e12i | 0.394602 | + | 0.331111i | 0.818403 | − | 0.574645i | \(-0.194860\pi\) |
−0.423801 | + | 0.905755i | \(0.639304\pi\) | |||||||
\(618\) | 1.12129e11 | + | 2.05896e12i | 0.0309221 | + | 0.567806i | ||||
\(619\) | −2.64304e12 | − | 9.61986e11i | −0.723594 | − | 0.263367i | −0.0461433 | − | 0.998935i | \(-0.514693\pi\) |
−0.677451 | + | 0.735568i | \(0.736915\pi\) | |||||||
\(620\) | −1.21242e10 | −0.00329528 | ||||||||
\(621\) | 1.30527e12 | − | 2.20284e12i | 0.352199 | − | 0.594388i | ||||
\(622\) | −5.94132e12 | −1.59157 | ||||||||
\(623\) | −1.84454e12 | − | 6.71357e11i | −0.490559 | − | 0.178549i | ||||
\(624\) | −7.63646e10 | − | 3.87132e10i | −0.0201633 | − | 0.0102218i | ||||
\(625\) | −6.36897e10 | − | 5.34420e10i | −0.0166959 | − | 0.0140095i | ||||
\(626\) | −1.01319e12 | + | 5.74608e12i | −0.263697 | + | 1.49550i | ||||
\(627\) | −2.41534e10 | + | 7.95841e10i | −0.00624129 | + | 0.0205647i | ||||
\(628\) | 3.55494e11 | − | 2.98295e11i | 0.0912040 | − | 0.0765293i | ||||
\(629\) | 2.90329e12 | + | 5.02864e12i | 0.739541 | + | 1.28092i | ||||
\(630\) | 2.28376e12 | + | 5.59493e11i | 0.577589 | + | 0.141502i | ||||
\(631\) | 7.73874e11 | − | 1.34039e12i | 0.194329 | − | 0.336588i | −0.752351 | − | 0.658762i | \(-0.771080\pi\) |
0.946680 | + | 0.322174i | \(0.104414\pi\) | |||||||
\(632\) | 5.07291e11 | + | 2.87699e12i | 0.126483 | + | 0.717318i | ||||
\(633\) | 4.54042e11 | + | 1.06360e12i | 0.112403 | + | 0.263307i | ||||
\(634\) | −2.78878e12 | + | 1.01503e12i | −0.685508 | + | 0.249504i | ||||
\(635\) | −9.57298e11 | + | 3.48428e11i | −0.233650 | + | 0.0850416i | ||||
\(636\) | 5.17771e11 | + | 6.24996e10i | 0.125482 | + | 0.0151468i | ||||
\(637\) | −2.68126e9 | − | 1.52062e10i | −0.000645225 | − | 0.00365926i | ||||
\(638\) | 5.48101e12 | − | 9.49339e12i | 1.30969 | − | 2.26845i | ||||
\(639\) | 3.59752e12 | + | 4.90920e12i | 0.853590 | + | 1.16482i | ||||
\(640\) | −1.49156e12 | − | 2.58345e12i | −0.351423 | − | 0.608683i | ||||
\(641\) | 1.58481e12 | − | 1.32981e12i | 0.370780 | − | 0.311121i | −0.438290 | − | 0.898834i | \(-0.644416\pi\) |
0.809070 | + | 0.587712i | \(0.199971\pi\) | |||||||
\(642\) | −4.46154e12 | + | 1.03964e12i | −1.03652 | + | 0.241534i | ||||
\(643\) | 3.85428e11 | − | 2.18587e12i | 0.0889188 | − | 0.504283i | −0.907523 | − | 0.420002i | \(-0.862029\pi\) |
0.996442 | − | 0.0842815i | \(-0.0268595\pi\) | |||||||
\(644\) | −2.08564e11 | − | 1.75006e11i | −0.0477807 | − | 0.0400927i | ||||
\(645\) | −2.95710e12 | + | 1.92898e12i | −0.672741 | + | 0.438842i | ||||
\(646\) | 1.11774e11 | + | 4.06823e10i | 0.0252518 | + | 0.00919091i | ||||
\(647\) | 2.41867e12 | 0.542633 | 0.271317 | − | 0.962490i | \(-0.412541\pi\) | ||||
0.271317 | + | 0.962490i | \(0.412541\pi\) | |||||||
\(648\) | 1.27650e12 | − | 4.04085e12i | 0.284402 | − | 0.900297i | ||||
\(649\) | 3.30021e12 | 0.730197 | ||||||||
\(650\) | 5.65870e10 | + | 2.05960e10i | 0.0124339 | + | 0.00452556i | ||||
\(651\) | 1.83744e11 | − | 1.19859e11i | 0.0400957 | − | 0.0261552i | ||||
\(652\) | 5.77124e11 | + | 4.84264e11i | 0.125070 | + | 0.104947i | ||||
\(653\) | −8.01429e11 | + | 4.54513e12i | −0.172487 | + | 0.978221i | 0.768518 | + | 0.639828i | \(0.220994\pi\) |
−0.941005 | + | 0.338393i | \(0.890117\pi\) | |||||||
\(654\) | −9.36185e12 | + | 2.18153e12i | −2.00107 | + | 0.466296i | ||||
\(655\) | 9.19035e11 | − | 7.71162e11i | 0.195095 | − | 0.163704i | ||||
\(656\) | 1.09495e11 | + | 1.89651e11i | 0.0230848 | + | 0.0399841i | ||||
\(657\) | 7.14667e11 | − | 7.80716e10i | 0.149644 | − | 0.0163474i | ||||
\(658\) | 1.61417e12 | − | 2.79582e12i | 0.335685 | − | 0.581423i | ||||
\(659\) | −1.47288e12 | − | 8.35314e12i | −0.304217 | − | 1.72530i | −0.627166 | − | 0.778886i | \(-0.715785\pi\) |
0.322948 | − | 0.946417i | \(-0.395326\pi\) | |||||||
\(660\) | 4.01835e11 | + | 4.85050e10i | 0.0824327 | + | 0.00995037i | ||||
\(661\) | −3.60104e12 | + | 1.31067e12i | −0.733705 | + | 0.267047i | −0.681732 | − | 0.731602i | \(-0.738773\pi\) |
−0.0519728 | + | 0.998649i | \(0.516551\pi\) | |||||||
\(662\) | 7.21525e12 | − | 2.62614e12i | 1.46013 | − | 0.531442i | ||||
\(663\) | 6.43294e10 | + | 1.50693e11i | 0.0129300 | + | 0.0302888i | ||||
\(664\) | 1.12428e12 | + | 6.37613e12i | 0.224450 | + | 1.27292i | ||||
\(665\) | 2.30824e10 | − | 3.99799e10i | 0.00457703 | − | 0.00792765i | ||||
\(666\) | 1.38682e12 | + | 4.76280e12i | 0.273141 | + | 0.938056i | ||||
\(667\) | 3.31308e12 | + | 5.73842e12i | 0.648135 | + | 1.12260i | ||||
\(668\) | −4.13462e11 | + | 3.46936e11i | −0.0803418 | + | 0.0674148i | ||||
\(669\) | 7.77403e11 | − | 2.56150e12i | 0.150047 | − | 0.494397i | ||||
\(670\) | 8.65565e11 | − | 4.90886e12i | 0.165945 | − | 0.941118i | ||||
\(671\) | −1.91491e12 | − | 1.60680e12i | −0.364668 | − | 0.305993i | ||||
\(672\) | −8.48280e11 | − | 4.30037e11i | −0.160464 | − | 0.0813475i | ||||
\(673\) | −1.64780e12 | − | 5.99749e11i | −0.309625 | − | 0.112694i | 0.182534 | − | 0.983199i | \(-0.441570\pi\) |
−0.492159 | + | 0.870505i | \(0.663792\pi\) | |||||||
\(674\) | 5.92552e12 | 1.10601 | ||||||||
\(675\) | −6.06185e11 | + | 3.22404e12i | −0.112393 | + | 0.597770i | ||||
\(676\) | −5.40773e11 | −0.0995990 | ||||||||
\(677\) | 3.37602e12 | + | 1.22877e12i | 0.617669 | + | 0.224813i | 0.631856 | − | 0.775086i | \(-0.282294\pi\) |
−0.0141863 | + | 0.999899i | \(0.504516\pi\) | |||||||
\(678\) | 1.09296e10 | + | 2.00695e11i | 0.00198643 | + | 0.0364757i | ||||
\(679\) | −6.80433e12 | − | 5.70951e12i | −1.22849 | − | 1.03082i | ||||
\(680\) | −9.08294e11 | + | 5.15119e12i | −0.162906 | + | 0.923884i | ||||
\(681\) | 2.48549e12 | + | 2.65446e12i | 0.442843 | + | 0.472948i | ||||
\(682\) | 3.19259e11 | − | 2.67890e11i | 0.0565084 | − | 0.0474162i | ||||
\(683\) | −1.62740e12 | − | 2.81874e12i | −0.286155 | − | 0.495635i | 0.686733 | − | 0.726909i | \(-0.259044\pi\) |
−0.972889 | + | 0.231274i | \(0.925711\pi\) | |||||||
\(684\) | 7.65466e9 | + | 5.11770e9i | 0.00133713 | + | 0.000893968i | ||||
\(685\) | 2.00430e12 | − | 3.47155e12i | 0.347821 | − | 0.602443i | ||||
\(686\) | −1.12837e12 | − | 6.39930e12i | −0.194533 | − | 1.10325i | ||||
\(687\) | 5.04561e12 | − | 6.72432e12i | 0.864188 | − | 1.15171i | ||||
\(688\) | 7.72277e12 | − | 2.81086e12i | 1.31409 | − | 0.478290i | ||||
\(689\) | 1.46275e11 | − | 5.32397e10i | 0.0247276 | − | 0.00900013i | ||||
\(690\) | −1.62051e12 | + | 2.15966e12i | −0.272163 | + | 0.362714i | ||||
\(691\) | −6.09285e11 | − | 3.45543e12i | −0.101665 | − | 0.576568i | −0.992500 | − | 0.122243i | \(-0.960991\pi\) |
0.890836 | − | 0.454326i | \(-0.150120\pi\) | |||||||
\(692\) | −2.49409e11 | + | 4.31989e11i | −0.0413461 | + | 0.0716136i | ||||
\(693\) | −6.56934e12 | + | 3.23742e12i | −1.08199 | + | 0.533211i | ||||
\(694\) | −2.78900e12 | − | 4.83068e12i | −0.456384 | − | 0.790480i | ||||
\(695\) | −2.08082e12 | + | 1.74601e12i | −0.338301 | + | 0.283868i | ||||
\(696\) | 7.49544e12 | + | 8.00499e12i | 1.21075 | + | 1.29306i | ||||
\(697\) | 7.27746e10 | − | 4.12725e11i | 0.0116797 | − | 0.0662390i | ||||
\(698\) | −3.27237e12 | − | 2.74585e12i | −0.521811 | − | 0.437852i | ||||
\(699\) | 8.37751e10 | + | 1.53832e12i | 0.0132730 | + | 0.243724i | ||||
\(700\) | 3.27785e11 | + | 1.19304e11i | 0.0515998 | + | 0.0187808i | ||||
\(701\) | −2.33825e12 | −0.365730 | −0.182865 | − | 0.983138i | \(-0.558537\pi\) | ||||
−0.182865 | + | 0.983138i | \(0.558537\pi\) | |||||||
\(702\) | 2.27453e10 | + | 1.38118e11i | 0.00353488 | + | 0.0214650i | ||||
\(703\) | 9.73952e10 | 0.0150397 | ||||||||
\(704\) | 7.18740e12 | + | 2.61600e12i | 1.10279 | + | 0.401384i | ||||
\(705\) | −2.58753e12 | − | 1.31175e12i | −0.394488 | − | 0.199987i | ||||
\(706\) | 6.25732e12 | + | 5.25051e12i | 0.947910 | + | 0.795391i | ||||
\(707\) | 1.42736e11 | − | 8.09495e11i | 0.0214855 | − | 0.121850i | ||||
\(708\) | 1.06111e11 | − | 3.49629e11i | 0.0158712 | − | 0.0522947i | ||||
\(709\) | −6.45500e12 | + | 5.41639e12i | −0.959375 | + | 0.805011i | −0.980851 | − | 0.194758i | \(-0.937608\pi\) |
0.0214765 | + | 0.999769i | \(0.493163\pi\) | |||||||
\(710\) | −3.20894e12 | − | 5.55805e12i | −0.473914 | − | 0.820843i | ||||
\(711\) | 3.63627e12 | − | 3.79643e12i | 0.533634 | − | 0.557137i | ||||
\(712\) | 1.86524e12 | − | 3.23069e12i | 0.272004 | − | 0.471124i | ||||
\(713\) | 4.37451e10 | + | 2.48091e11i | 0.00633909 | + | 0.0359508i | ||||
\(714\) | 4.11236e12 | + | 9.63330e12i | 0.592174 | + | 1.38718i | ||||
\(715\) | 1.13522e11 | − | 4.13185e10i | 0.0162443 | − | 0.00591245i | ||||
\(716\) | 1.15125e12 | − | 4.19021e11i | 0.163705 | − | 0.0595837i | ||||
\(717\) | −1.85324e12 | − | 2.23703e11i | −0.261876 | − | 0.0316108i | ||||
\(718\) | −9.39773e11 | − | 5.32972e12i | −0.131966 | − | 0.748418i | ||||
\(719\) | −3.05242e12 | + | 5.28695e12i | −0.425956 | + | 0.737777i | −0.996509 | − | 0.0834837i | \(-0.973395\pi\) |
0.570554 | + | 0.821260i | \(0.306729\pi\) | |||||||
\(720\) | −1.98206e12 | + | 4.50125e12i | −0.274866 | + | 0.624219i | ||||
\(721\) | 1.78253e12 | + | 3.08744e12i | 0.245657 | + | 0.425491i | ||||
\(722\) | −5.86386e12 | + | 4.92037e12i | −0.803094 | + | 0.673876i | ||||
\(723\) | −9.92903e12 | + | 2.31370e12i | −1.35140 | + | 0.314908i | ||||
\(724\) | −1.18264e11 | + | 6.70709e11i | −0.0159967 | + | 0.0907216i | ||||
\(725\) | −6.50330e12 | − | 5.45692e12i | −0.874204 | − | 0.733544i | ||||
\(726\) | −5.07859e12 | + | 3.31287e12i | −0.678467 | + | 0.442577i | ||||
\(727\) | −8.04855e12 | − | 2.92943e12i | −1.06859 | − | 0.388936i | −0.252943 | − | 0.967481i | \(-0.581399\pi\) |
−0.815651 | + | 0.578545i | \(0.803621\pi\) | |||||||
\(728\) | −1.34490e11 | −0.0177460 | ||||||||
\(729\) | −7.22291e12 | + | 2.44526e12i | −0.947193 | + | 0.320665i | ||||
\(730\) | −7.58092e11 | −0.0988028 | ||||||||
\(731\) | −1.47795e13 | − | 5.37928e12i | −1.91439 | − | 0.696780i | ||||
\(732\) | −2.31797e11 | + | 1.51205e11i | −0.0298406 | + | 0.0194656i | ||||
\(733\) | −5.57220e12 | − | 4.67564e12i | −0.712950 | − | 0.598236i | 0.212475 | − | 0.977166i | \(-0.431848\pi\) |
−0.925425 | + | 0.378930i | \(0.876292\pi\) | |||||||
\(734\) | −1.07347e12 | + | 6.08797e12i | −0.136508 | + | 0.774177i | ||||
\(735\) | −8.63860e11 | + | 2.01300e11i | −0.109182 | + | 0.0254419i | ||||
\(736\) | 8.36607e11 | − | 7.01997e11i | 0.105092 | − | 0.0881830i | ||||
\(737\) | 7.76291e12 | + | 1.34457e13i | 0.969216 | + | 1.67873i | ||||
\(738\) | 1.44286e11 | − | 3.27673e11i | 0.0179049 | − | 0.0406619i | ||||
\(739\) | −5.47159e12 | + | 9.47708e12i | −0.674860 | + | 1.16889i | 0.301650 | + | 0.953419i | \(0.402463\pi\) |
−0.976510 | + | 0.215473i | \(0.930871\pi\) | |||||||
\(740\) | −8.23071e10 | − | 4.66787e11i | −0.0100901 | − | 0.0572237i | ||||
\(741\) | 2.72849e9 | + | 3.29352e8i | 0.000332460 | + | 4.01309e-5i | ||||
\(742\) | 9.35085e12 | − | 3.40343e12i | 1.13249 | − | 0.412192i | ||||
\(743\) | 9.36887e12 | − | 3.40999e12i | 1.12781 | − | 0.410491i | 0.290316 | − | 0.956931i | \(-0.406240\pi\) |
0.837498 | + | 0.546440i | \(0.184017\pi\) | |||||||
\(744\) | 1.63692e11 | + | 3.83451e11i | 0.0195861 | + | 0.0458808i | ||||
\(745\) | −1.06219e11 | − | 6.02400e11i | −0.0126328 | − | 0.0716443i | ||||
\(746\) | 4.59589e11 | − | 7.96031e11i | 0.0543306 | − | 0.0941034i | ||||
\(747\) | 8.05889e12 | − | 8.41383e12i | 0.946962 | − | 0.988670i | ||||
\(748\) | 9.01525e11 | + | 1.56149e12i | 0.105298 | + | 0.182382i | ||||
\(749\) | −6.06734e12 | + | 5.09110e12i | −0.704417 | + | 0.591076i | ||||
\(750\) | 2.65632e12 | − | 8.75242e12i | 0.306552 | − | 1.01007i | ||||
\(751\) | −2.13031e12 | + | 1.20816e13i | −0.244378 | + | 1.38594i | 0.577554 | + | 0.816352i | \(0.304007\pi\) |
−0.821932 | + | 0.569585i | \(0.807104\pi\) | |||||||
\(752\) | 5.17298e12 | + | 4.34064e12i | 0.589875 | + | 0.494964i | ||||
\(753\) | 7.68325e12 | + | 3.89504e12i | 0.870899 | + | 0.441504i | ||||
\(754\) | −3.40393e11 | − | 1.23893e11i | −0.0383539 | − | 0.0139597i | ||||
\(755\) | −1.14862e12 | −0.128651 | ||||||||
\(756\) | 1.31754e11 | + | 8.00058e11i | 0.0146695 | + | 0.0890786i | ||||
\(757\) | 1.34182e13 | 1.48512 | 0.742561 | − | 0.669779i | \(-0.233611\pi\) | ||||
0.742561 | + | 0.669779i | \(0.233611\pi\) | |||||||
\(758\) | 1.91474e12 | + | 6.96909e11i | 0.210668 | + | 0.0766769i | ||||
\(759\) | −4.57320e11 | − | 8.39751e12i | −0.0500186 | − | 0.918465i | ||||
\(760\) | 6.72091e10 | + | 5.63951e10i | 0.00730746 | + | 0.00613169i | ||||
\(761\) | 1.30766e12 | − | 7.41611e12i | 0.141340 | − | 0.801577i | −0.828894 | − | 0.559406i | \(-0.811029\pi\) |
0.970234 | − | 0.242171i | \(-0.0778595\pi\) | |||||||
\(762\) | −2.64990e12 | − | 2.83004e12i | −0.284729 | − | 0.304085i | ||||
\(763\) | −1.27314e13 | + | 1.06829e13i | −1.35992 | + | 1.14111i | ||||
\(764\) | −7.41678e11 | − | 1.28462e12i | −0.0787581 | − | 0.136413i | ||||
\(765\) | 8.44288e12 | − | 4.16071e12i | 0.891280 | − | 0.439229i | ||||
\(766\) | 5.15499e12 | − | 8.92870e12i | 0.541001 | − | 0.937042i | ||||
\(767\) | −1.89372e10 | − | 1.07398e11i | −0.00197577 | − | 0.0112051i | ||||
\(768\) | 1.71310e12 | − | 2.28306e12i | 0.177687 | − | 0.236805i | ||||
\(769\) | −2.78527e12 | + | 1.01376e12i | −0.287210 | + | 0.104536i | −0.481608 | − | 0.876387i | \(-0.659947\pi\) |
0.194398 | + | 0.980923i | \(0.437725\pi\) | |||||||
\(770\) | 7.25706e12 | − | 2.64135e12i | 0.743965 | − | 0.270781i | ||||
\(771\) | −2.77928e12 | + | 3.70397e12i | −0.283262 | + | 0.377505i | ||||
\(772\) | −7.31515e10 | − | 4.14863e11i | −0.00741217 | − | 0.0420365i | ||||
\(773\) | −7.60990e12 | + | 1.31807e13i | −0.766605 | + | 1.32780i | 0.172789 | + | 0.984959i | \(0.444722\pi\) |
−0.939394 | + | 0.342839i | \(0.888611\pi\) | |||||||
\(774\) | −1.11700e13 | − | 7.46798e12i | −1.11872 | − | 0.747943i | ||||
\(775\) | −1.61379e11 | − | 2.79517e11i | −0.0160691 | − | 0.0278324i | ||||
\(776\) | 1.29315e13 | − | 1.08508e13i | 1.28018 | − | 1.07420i | ||||
\(777\) | 5.86199e12 | + | 6.26050e12i | 0.576967 | + | 0.616189i | ||||
\(778\) | −2.50786e12 | + | 1.42228e13i | −0.245412 | + | 1.39180i | ||||
\(779\) | −5.38495e9 | − | 4.51851e9i | −0.000523917 | − | 0.000439619i | ||||
\(780\) | −7.27308e8 | − | 1.33552e10i | −7.03546e−5 | − | 0.00129188i | ||||
\(781\) | 1.87846e13 | + | 6.83705e12i | 1.80665 | + | 0.657565i | ||||
\(782\) | −1.20278e13 | −1.15016 | ||||||||
\(783\) | 3.64644e12 | − | 1.93939e13i | 0.346690 | − | 1.84390i | ||||
\(784\) | 2.06471e12 | 0.195181 | ||||||||
\(785\) | −7.47696e12 | − | 2.72139e12i | −0.702768 | − | 0.255786i | ||||
\(786\) | 4.07234e12 | + | 2.06448e12i | 0.380577 | + | 0.192934i | ||||
\(787\) | 5.64672e12 | + | 4.73816e12i | 0.524699 | + | 0.440275i | 0.866266 | − | 0.499583i | \(-0.166513\pi\) |
−0.341567 | + | 0.939857i | \(0.610958\pi\) | |||||||
\(788\) | 1.30825e11 | − | 7.41945e11i | 0.0120871 | − | 0.0685494i | ||||
\(789\) | 2.46317e12 | − | 8.11599e12i | 0.226281 | − | 0.745582i | ||||
\(790\) | −4.24648e12 | + | 3.56322e12i | −0.387888 | + | 0.325477i | ||||
\(791\) | 1.73751e11 | + | 3.00945e11i | 0.0157809 | + | 0.0273334i | ||||
\(792\) | −3.89118e12 | − | 1.33636e13i | −0.351413 | − | 1.20687i | ||||
\(793\) | −4.13017e10 | + | 7.15367e10i | −0.00370885 | + | 0.00642391i | ||||
\(794\) | 5.16213e11 | + | 2.92759e12i | 0.0460932 | + | 0.261407i | ||||
\(795\) | −3.51079e12 | − | 8.22409e12i | −0.311711 | − | 0.730190i | ||||
\(796\) | −1.79347e12 | + | 6.52772e11i | −0.158338 | + | 0.0576305i | ||||
\(797\) | 8.54503e12 | − | 3.11014e12i | 0.750155 | − | 0.273034i | 0.0614841 | − | 0.998108i | \(-0.480417\pi\) |
0.688671 | + | 0.725074i | \(0.258194\pi\) | |||||||
\(798\) | 1.74423e11 | + | 2.10544e10i | 0.0152262 | + | 0.00183793i | ||||
\(799\) | −2.24410e12 | − | 1.27269e13i | −0.194797 | − | 1.10475i | ||||
\(800\) | −6.99610e11 | + | 1.21176e12i | −0.0603880 | + | 0.104595i | ||||
\(801\) | −6.67320e12 | + | 7.28993e11i | −0.572780 | + | 0.0625715i | ||||
\(802\) | −6.54880e12 | − | 1.13429e13i | −0.558955 | − | 0.968139i | ||||
\(803\) | 1.80884e12 | − | 1.51780e12i | 0.153526 | − | 0.128823i | ||||
\(804\) | 1.67406e12 | − | 3.90096e11i | 0.141293 | − | 0.0329245i | ||||
\(805\) | −8.10617e11 | + | 4.59724e12i | −0.0680353 | + | 0.385847i | ||||
\(806\) | −1.05499e10 | − | 8.85238e9i | −0.000880519 | − | 0.000738843i | ||||
\(807\) | 1.98611e13 | − | 1.29558e13i | 1.64843 | − | 1.07531i | ||||
\(808\) | 1.46795e12 | + | 5.34290e11i | 0.121160 | + | 0.0440987i | ||||
\(809\) | −2.35878e12 | −0.193606 | −0.0968030 | − | 0.995304i | \(-0.530862\pi\) | ||||
−0.0968030 | + | 0.995304i | \(0.530862\pi\) | |||||||
\(810\) | 7.85145e12 | − | 1.73613e12i | 0.640866 | − | 0.141710i | ||||
\(811\) | 6.33918e12 | 0.514564 | 0.257282 | − | 0.966336i | \(-0.417173\pi\) | ||||
0.257282 | + | 0.966336i | \(0.417173\pi\) | |||||||
\(812\) | −1.97175e12 | − | 7.17660e11i | −0.159166 | − | 0.0579317i | ||||
\(813\) | 9.34243e12 | − | 6.09425e12i | 0.749984 | − | 0.489229i | ||||
\(814\) | 1.24812e13 | + | 1.04729e13i | 0.996427 | + | 0.836102i | ||||
\(815\) | 2.24309e12 | − | 1.27212e13i | 0.178089 | − | 1.00999i | ||||
\(816\) | −2.13380e13 | + | 4.97225e12i | −1.68480 | + | 0.392597i | ||||
\(817\) | −2.02090e11 | + | 1.69573e11i | −0.0158688 | + | 0.0133155i | ||||
\(818\) | 7.04539e12 | + | 1.22030e13i | 0.550193 | + | 0.952962i | ||||
\(819\) | 1.43051e11 | + | 1.95208e11i | 0.0111100 | + | 0.0151607i | ||||
\(820\) | −1.71051e10 | + | 2.96270e10i | −0.00132119 | + | 0.00228836i | ||||
\(821\) | −1.48263e12 | − | 8.40839e12i | −0.113890 | − | 0.645905i | −0.987294 | − | 0.158907i | \(-0.949203\pi\) |
0.873403 | − | 0.486998i | \(-0.161908\pi\) | |||||||
\(822\) | 1.51456e13 | + | 1.82820e12i | 1.15708 | + | 0.139669i | ||||
\(823\) | −5.80187e12 | + | 2.11171e12i | −0.440828 | + | 0.160448i | −0.552892 | − | 0.833253i | \(-0.686476\pi\) |
0.112064 | + | 0.993701i | \(0.464254\pi\) | |||||||
\(824\) | −6.36673e12 | + | 2.31730e12i | −0.481110 | + | 0.175110i | ||||
\(825\) | 4.23035e12 | + | 9.90969e12i | 0.317932 | + | 0.744761i | ||||
\(826\) | −1.21059e12 | − | 6.86560e12i | −0.0904871 | − | 0.513178i | ||||
\(827\) | −1.10185e12 | + | 1.90846e12i | −0.0819120 | + | 0.141876i | −0.904071 | − | 0.427382i | \(-0.859436\pi\) |
0.822159 | + | 0.569258i | \(0.192769\pi\) | |||||||
\(828\) | −9.04349e11 | − | 2.21554e11i | −0.0668651 | − | 0.0163811i | ||||
\(829\) | −9.34340e12 | − | 1.61833e13i | −0.687084 | − | 1.19006i | −0.972777 | − | 0.231743i | \(-0.925557\pi\) |
0.285693 | − | 0.958321i | \(-0.407776\pi\) | |||||||
\(830\) | −9.41125e12 | + | 7.89698e12i | −0.688329 | + | 0.577576i | ||||
\(831\) | −3.62040e12 | + | 1.19290e13i | −0.263361 | + | 0.867760i | ||||
\(832\) | 4.38894e10 | − | 2.48909e11i | 0.00317545 | − | 0.0180088i | ||||
\(833\) | −3.02690e12 | − | 2.53987e12i | −0.217819 | − | 0.182772i | ||||
\(834\) | −9.22033e12 | − | 4.67426e12i | −0.659932 | − | 0.334554i | ||||
\(835\) | 8.69618e12 | + | 3.16515e12i | 0.619070 | + | 0.225323i | ||||
\(836\) | 3.02430e10 | 0.00214140 | ||||||||
\(837\) | 3.82455e11 | − | 6.45450e11i | 0.0269349 | − | 0.0454567i | ||||
\(838\) | −2.58156e13 | −1.80835 | ||||||||
\(839\) | −2.10778e12 | − | 7.67169e11i | −0.146858 | − | 0.0534518i | 0.267546 | − | 0.963545i | \(-0.413787\pi\) |
−0.414403 | + | 0.910093i | \(0.636010\pi\) | |||||||
\(840\) | 4.20120e11 | + | 7.71444e12i | 0.0291150 | + | 0.534623i | ||||
\(841\) | 2.80068e13 | + | 2.35005e13i | 1.93055 | + | 1.61993i | ||||
\(842\) | −1.86300e12 | + | 1.05656e13i | −0.127734 | + | 0.724418i | ||||
\(843\) | −1.97014e12 | − | 2.10408e12i | −0.134361 | − | 0.143495i | ||||
\(844\) | 3.22145e11 | − | 2.70312e11i | 0.0218530 | − | 0.0183368i | ||||
\(845\) | 4.63603e12 | + | 8.02984e12i | 0.312817 | + | 0.541816i | ||||
\(846\) | 7.25083e11 | − | 1.10166e13i | 0.0486655 | − | 0.739403i | ||||
\(847\) | −5.24176e12 | + | 9.07900e12i | −0.349947 | + | 0.606125i | ||||
\(848\) | 3.61447e12 | + | 2.04987e13i | 0.240028 | + | 1.36127i | ||||
\(849\) | −1.63179e13 | + | 2.17470e13i | −1.07790 | + | 1.43653i | ||||
\(850\) | 1.44808e13 | − | 5.27057e12i | 0.951496 | − | 0.346316i | ||||
\(851\) | −9.25461e12 | + | 3.36840e12i | −0.604888 | + | 0.220161i | ||||
\(852\) | 1.32830e12 | − | 1.77024e12i | 0.0863614 | − | 0.115094i | ||||
\(853\) | −1.35439e12 | − | 7.68113e12i | −0.0875938 | − | 0.496769i | −0.996767 | − | 0.0803503i | \(-0.974396\pi\) |
0.909173 | − | 0.416419i | \(-0.136715\pi\) | |||||||
\(854\) | −2.64028e12 | + | 4.57310e12i | −0.169860 | + | 0.294205i | ||||
\(855\) | 1.03686e10 | − | 1.57536e11i | 0.000663549 | − | 0.0100817i | ||||
\(856\) | −7.52622e12 | − | 1.30358e13i | −0.479121 | − | 0.829861i | ||||
\(857\) | 3.68822e12 | − | 3.09478e12i | 0.233563 | − | 0.195982i | −0.518493 | − | 0.855082i | \(-0.673507\pi\) |
0.752056 | + | 0.659100i | \(0.229062\pi\) | |||||||
\(858\) | 3.14239e11 | + | 3.35602e11i | 0.0197956 | + | 0.0211413i | ||||
\(859\) | −3.32620e11 | + | 1.88638e12i | −0.0208439 | + | 0.118212i | −0.993454 | − | 0.114229i | \(-0.963560\pi\) |
0.972610 | + | 0.232441i | \(0.0746713\pi\) | |||||||
\(860\) | 9.83498e11 | + | 8.25253e11i | 0.0613099 | + | 0.0514451i | ||||
\(861\) | −3.36610e10 | − | 6.18099e11i | −0.00208743 | − | 0.0383304i | ||||
\(862\) | −7.20779e12 | − | 2.62342e12i | −0.444651 | − | 0.161840i | ||||
\(863\) | −1.46100e13 | −0.896608 | −0.448304 | − | 0.893881i | \(-0.647972\pi\) | ||||
−0.448304 | + | 0.893881i | \(0.647972\pi\) | |||||||
\(864\) | −3.25227e12 | − | 3.68086e10i | −0.198552 | − | 0.00224718i | ||||
\(865\) | 8.55270e12 | 0.519434 | ||||||||
\(866\) | −2.19912e12 | − | 8.00413e11i | −0.132867 | − | 0.0483597i | ||||
\(867\) | 2.25589e13 | + | 1.14363e13i | 1.35592 | + | 0.687384i | ||||
\(868\) | −6.11109e10 | − | 5.12782e10i | −0.00365410 | − | 0.00306615i | ||||
\(869\) | 2.99826e12 | − | 1.70040e13i | 0.178353 | − | 1.01149i | ||||
\(870\) | −6.04325e12 | + | 1.99121e13i | −0.357630 | + | 1.17837i | ||||
\(871\) | 3.93018e11 | − | 3.29781e11i | 0.0231382 | − | 0.0194153i | ||||
\(872\) | −1.57926e13 | − | 2.73536e13i | −0.924973 | − | 1.60210i | ||||
\(873\) | −2.95041e13 | − | 7.22814e12i | −1.71917 | − | 0.421175i | ||||
\(874\) | −1.00873e11 | + | 1.74717e11i | −0.00584755 | + | 0.0101283i | ||||
\(875\) | −2.74605e12 | − | 1.55736e13i | −0.158370 | − | 0.898159i | ||||
\(876\) | −1.02639e11 | − | 2.40433e11i | −0.00588901 | − | 0.0137951i | ||||
\(877\) | −1.91357e13 | + | 6.96483e12i | −1.09231 | + | 0.397569i | −0.824477 | − | 0.565896i | \(-0.808530\pi\) |
−0.267835 | + | 0.963465i | \(0.586308\pi\) | |||||||
\(878\) | 4.87509e12 | − | 1.77439e12i | 0.276858 | − | 0.100768i | ||||
\(879\) | 3.42276e13 | + | 4.13158e12i | 1.93387 | + | 0.233435i | ||||
\(880\) | 2.80513e12 | + | 1.59087e13i | 0.157682 | + | 0.894258i | ||||
\(881\) | −8.70739e12 | + | 1.50816e13i | −0.486963 | + | 0.843445i | −0.999888 | − | 0.0149885i | \(-0.995229\pi\) |
0.512924 | + | 0.858434i | \(0.328562\pi\) | |||||||
\(882\) | −1.99532e12 | − | 2.72283e12i | −0.111021 | − | 0.151500i | ||||
\(883\) | 1.11410e13 | + | 1.92968e13i | 0.616738 | + | 1.06822i | 0.990077 | + | 0.140527i | \(0.0448796\pi\) |
−0.373339 | + | 0.927695i | \(0.621787\pi\) | |||||||
\(884\) | 4.56421e10 | − | 3.82982e10i | 0.00251380 | − | 0.00210933i | ||||
\(885\) | −6.10126e12 | + | 1.42174e12i | −0.334329 | + | 0.0779066i | ||||
\(886\) | −1.15127e12 | + | 6.52918e12i | −0.0627662 | + | 0.355965i | ||||
\(887\) | −2.61023e12 | − | 2.19025e12i | −0.141587 | − | 0.118806i | 0.569243 | − | 0.822169i | \(-0.307236\pi\) |
−0.710830 | + | 0.703363i | \(0.751681\pi\) | |||||||
\(888\) | −1.36517e13 | + | 8.90528e12i | −0.736765 | + | 0.480606i | ||||
\(889\) | −6.29880e12 | − | 2.29258e12i | −0.338220 | − | 0.123102i | ||||
\(890\) | 7.07868e12 | 0.378179 | ||||||||
\(891\) | −1.52580e13 | + | 1.98621e13i | −0.811049 | + | 1.05579i | ||||
\(892\) | −9.73404e11 | −0.0514815 | ||||||||
\(893\) | −2.03693e11 | − | 7.41381e10i | −0.0107187 | − | 0.00390130i | ||||
\(894\) | 1.94976e12 | − | 1.27186e12i | 0.102085 | − | 0.0665919i | ||||
\(895\) | −1.60916e13 | − | 1.35025e13i | −0.838293 | − | 0.703411i | ||||
\(896\) | 3.40840e12 | − | 1.93300e13i | 0.176671 | − | 1.00195i | ||||
\(897\) | −2.70654e11 | + | 6.30689e10i | −0.0139588 | + | 0.00325274i | ||||
\(898\) | −5.45454e12 | + | 4.57690e12i | −0.279907 | + | 0.234870i | ||||
\(899\) | 9.70760e11 | + | 1.68141e12i | 0.0495671 | + | 0.0858527i | ||||
\(900\) | 1.18586e12 | − | 1.29546e11i | 0.0602482 | − | 0.00658162i | ||||
\(901\) | 1.99172e13 | − | 3.44977e13i | 1.00686 | − | 1.74393i | ||||
\(902\) | −2.04203e11 | − | 1.15809e12i | −0.0102715 | − | 0.0582523i | ||||
\(903\) | −2.30634e13 | − | 2.78395e12i | −1.15432 | − | 0.139337i | ||||
\(904\) | −6.20591e11 | + | 2.25877e11i | −0.0309063 | + | 0.0112490i | ||||
\(905\) | 1.09731e13 | − | 3.99388e12i | 0.543764 | − | 0.197914i | ||||
\(906\) | −1.71622e12 | − | 4.02028e12i | −0.0846244 | − | 0.198234i | ||||
\(907\) | −1.16315e12 | − | 6.59654e12i | −0.0570692 | − | 0.323656i | 0.942886 | − | 0.333115i | \(-0.108100\pi\) |
−0.999955 | + | 0.00945984i | \(0.996989\pi\) | |||||||
\(908\) | 6.61172e11 | − | 1.14518e12i | 0.0322796 | − | 0.0559099i | ||||
\(909\) | −7.85882e11 | − | 2.69898e12i | −0.0381786 | − | 0.131118i | ||||
\(910\) | −1.27599e11 | − | 2.21009e11i | −0.00616825 | − | 0.0106837i | ||||
\(911\) | −5.69266e12 | + | 4.77671e12i | −0.273831 | + | 0.229771i | −0.769353 | − | 0.638824i | \(-0.779421\pi\) |
0.495522 | + | 0.868595i | \(0.334977\pi\) | |||||||
\(912\) | −1.06727e11 | + | 3.51658e11i | −0.00510853 | + | 0.0168323i | ||||
\(913\) | 6.64490e12 | − | 3.76851e13i | 0.316497 | − | 1.79495i | ||||
\(914\) | 2.58310e13 | + | 2.16748e13i | 1.22429 | + | 1.02730i | ||||
\(915\) | 4.23241e12 | + | 2.14563e12i | 0.199615 | + | 0.101195i | ||||
\(916\) | −2.87266e12 | − | 1.04556e12i | −0.134820 | − | 0.0490705i | ||||
\(917\) | 7.89384e12 | 0.368660 | ||||||||
\(918\) | 2.71780e13 | + | 2.33342e13i | 1.26306 | + | 1.08443i | ||||
\(919\) | 3.16558e13 | 1.46397 | 0.731986 | − | 0.681320i | \(-0.238594\pi\) | ||||
0.731986 | + | 0.681320i | \(0.238594\pi\) | |||||||
\(920\) | −8.33670e12 | − | 3.03431e12i | −0.383662 | − | 0.139642i | ||||
\(921\) | −3.69759e11 | − | 6.78967e12i | −0.0169336 | − | 0.310943i | ||||
\(922\) | −1.79442e13 | − | 1.50570e13i | −0.817779 | − | 0.686198i | ||||
\(923\) | 1.14707e11 | − | 6.50537e11i | 0.00520215 | − | 0.0295029i | ||||
\(924\) | 1.82026e12 | + | 1.94400e12i | 0.0821503 | + | 0.0877349i | ||||
\(925\) | 9.66595e12 | − | 8.11069e12i | 0.434117 | − | 0.364267i | ||||
\(926\) | 6.09707e12 | + | 1.05604e13i | 0.272503 | + | 0.471989i | ||||
\(927\) | 1.01355e13 | + | 6.77629e12i | 0.450801 | + | 0.301393i | ||||
\(928\) | 4.20843e12 | − | 7.28921e12i | 0.186275 | − | 0.322637i | ||||
\(929\) | 1.85507e12 | + | 1.05206e13i | 0.0817129 | + | 0.463417i | 0.998018 | + | 0.0629351i | \(0.0200461\pi\) |
−0.916305 | + | 0.400482i | \(0.868843\pi\) | |||||||
\(930\) | −4.74822e11 | + | 6.32799e11i | −0.0208141 | + | 0.0277391i | ||||
\(931\) | −6.22799e10 | + | 2.26680e10i | −0.00271690 | + | 0.000988872i | ||||
\(932\) | 5.26430e11 | − | 1.91605e11i | 0.0228544 | − | 0.00831831i | ||||
\(933\) | −2.10838e13 | + | 2.80986e13i | −0.910924 | + | 1.21399i | ||||
\(934\) | −5.68212e12 | − | 3.22249e13i | −0.244314 | − | 1.38558i | ||||
\(935\) | 1.54575e13 | − | 2.67731e13i | 0.661434 | − | 1.14564i | ||||
\(936\) | −4.12561e11 | + | 2.03313e11i | −0.0175690 | + | 0.00865811i | ||||
\(937\) | 8.82822e12 | + | 1.52909e13i | 0.374149 | + | 0.648046i | 0.990199 | − | 0.139661i | \(-0.0446014\pi\) |
−0.616050 | + | 0.787707i | \(0.711268\pi\) | |||||||
\(938\) | 2.51243e13 | − | 2.10818e13i | 1.05970 | − | 0.889190i | ||||
\(939\) | 2.35797e13 | + | 2.51827e13i | 0.989792 | + | 1.05708i | ||||
\(940\) | −1.83185e11 | + | 1.03889e12i | −0.00765269 | + | 0.0434005i | ||||
\(941\) | 4.17615e12 | + | 3.50420e12i | 0.173629 | + | 0.145692i | 0.725461 | − | 0.688263i | \(-0.241627\pi\) |
−0.551832 | + | 0.833955i | \(0.686071\pi\) | |||||||
\(942\) | −1.64664e12 | − | 3.02364e13i | −0.0681350 | − | 1.25113i | ||||
\(943\) | 6.67956e11 | + | 2.43116e11i | 0.0275071 | + | 0.0100118i | ||||
\(944\) | 1.45826e13 | 0.597670 | ||||||||
\(945\) | 1.07504e13 | − | 8.81526e12i | 0.438511 | − | 0.359577i | ||||
\(946\) | −4.41320e13 | −1.79161 | ||||||||
\(947\) | 1.21514e13 | + | 4.42275e12i | 0.490967 | + | 0.178697i | 0.575627 | − | 0.817713i | \(-0.304758\pi\) |
−0.0846599 | + | 0.996410i | \(0.526980\pi\) | |||||||
\(948\) | −1.70503e12 | − | 8.64366e11i | −0.0685636 | − | 0.0347584i | ||||
\(949\) | −5.97729e10 | − | 5.01554e10i | −0.00239225 | − | 0.00200734i | ||||
\(950\) | 4.48843e10 | − | 2.54551e11i | 0.00178788 | − | 0.0101396i | ||||
\(951\) | −5.09603e12 | + | 1.67911e13i | −0.202032 | + | 0.665683i | ||||
\(952\) | −2.63646e13 | + | 2.21225e13i | −1.04029 | + | 0.872907i | ||||
\(953\) | 7.52593e12 | + | 1.30353e13i | 0.295558 | + | 0.511921i | 0.975114 | − | 0.221702i | \(-0.0711612\pi\) |
−0.679557 | + | 0.733623i | \(0.737828\pi\) | |||||||
\(954\) | 2.35395e13 | − | 2.45763e13i | 0.920089 | − | 0.960613i | ||||
\(955\) | −1.27167e13 | + | 2.20261e13i | −0.494722 | + | 0.856883i | ||||
\(956\) | 1.17872e11 | + | 6.68485e11i | 0.00456404 | + | 0.0258840i | ||||
\(957\) | −2.54472e13 | − | 5.96107e13i | −0.980702 | − | 2.29731i | ||||
\(958\) | 1.40625e13 | − | 5.11833e12i | 0.539408 | − | 0.196328i | ||||
\(959\) | 2.47850e13 | − | 9.02101e12i | 0.946249 | − | 0.344406i | ||||
\(960\) | −1.44147e13 | − | 1.73998e12i | −0.547752 | − | 0.0661186i | ||||
\(961\) | −4.57837e12 | − | 2.59653e13i | −0.173163 | − | 0.982058i | ||||
\(962\) | 2.69200e11 | − | 4.66268e11i | 0.0101341 | − | 0.0175529i | ||||
\(963\) | −1.09157e13 | + | 2.47896e13i | −0.409011 | + | 0.928861i | ||||
\(964\) | 1.85364e12 | + | 3.21060e12i | 0.0691319 | + | 0.119740i | ||||
\(965\) | −5.53309e12 | + | 4.64282e12i | −0.205397 | + | 0.172349i | ||||
\(966\) | −1.73020e13 | + | 4.03178e12i | −0.639293 | + | 0.148970i | ||||
\(967\) | −6.89028e12 | + | 3.90767e13i | −0.253406 | + | 1.43714i | 0.546724 | + | 0.837313i | \(0.315875\pi\) |
−0.800131 | + | 0.599826i | \(0.795237\pi\) | |||||||
\(968\) | −1.52624e13 | − | 1.28067e13i | −0.558708 | − | 0.468812i | ||||
\(969\) | 5.89049e11 | − | 3.84248e11i | 0.0214632 | − | 0.0140009i | ||||
\(970\) | 3.01001e13 | + | 1.09555e13i | 1.09168 | + | 0.397338i | ||||
\(971\) | 1.66895e13 | 0.602499 | 0.301250 | − | 0.953545i | \(-0.402596\pi\) | ||||
0.301250 | + | 0.953545i | \(0.402596\pi\) | |||||||
\(972\) | 1.61364e12 | + | 2.25507e12i | 0.0579839 | + | 0.0810331i | ||||
\(973\) | −1.78727e13 | −0.639268 | ||||||||
\(974\) | 3.02292e13 | + | 1.10025e13i | 1.07625 | + | 0.391722i | ||||
\(975\) | 2.98215e11 | − | 1.94531e11i | 0.0105684 | − | 0.00689395i | ||||
\(976\) | −8.46141e12 | − | 7.09997e12i | −0.298482 | − | 0.250456i | ||||
\(977\) | −4.63459e12 | + | 2.62841e13i | −0.162737 | + | 0.922927i | 0.788630 | + | 0.614868i | \(0.210791\pi\) |
−0.951367 | + | 0.308059i | \(0.900321\pi\) | |||||||
\(978\) | 4.78770e13 | − | 1.11565e13i | 1.67341 | − | 0.389944i | ||||
\(979\) | −1.68901e13 | + | 1.41724e13i | −0.587637 | + | 0.493086i | ||||
\(980\) | 1.61273e11 | + | 2.79333e11i | 0.00558527 | + | 0.00967397i | ||||
\(981\) | −2.29050e13 | + | 5.20170e13i | −0.789622 | + | 1.79323i | ||||
\(982\) | −7.40330e12 | + | 1.28229e13i | −0.254052 | + | 0.440032i | ||||
\(983\) | −3.20706e12 | − | 1.81881e13i | −0.109551 | − | 0.621294i | −0.989305 | − | 0.145864i | \(-0.953404\pi\) |
0.879754 | − | 0.475430i | \(-0.157707\pi\) | |||||||
\(984\) | 1.16795e12 | + | 1.40981e11i | 0.0397141 | + | 0.00479384i | ||||
\(985\) | −1.21386e13 | + | 4.41807e12i | −0.410870 | + | 0.149544i | ||||
\(986\) | −8.71076e13 | + | 3.17046e13i | −2.93501 | + | 1.06826i | ||||
\(987\) | −7.49425e12 | − | 1.75554e13i | −0.251363 | − | 0.588822i | ||||
\(988\) | −1.73540e8 | − | 9.84193e8i | −5.79419e−6 | − | 3.28605e-5i | ||||
\(989\) | 1.33381e13 | − | 2.31023e13i | 0.443314 | − | 0.767842i | ||||
\(990\) | 1.82687e13 | − | 1.90733e13i | 0.604434 | − | 0.631055i | ||||
\(991\) | −7.05130e12 | − | 1.22132e13i | −0.232240 | − | 0.402252i | 0.726227 | − | 0.687455i | \(-0.241272\pi\) |
−0.958467 | + | 0.285203i | \(0.907939\pi\) | |||||||
\(992\) | 2.45133e11 | − | 2.05691e11i | 0.00803710 | − | 0.00674393i | ||||
\(993\) | 1.31847e13 | − | 4.34428e13i | 0.430327 | − | 1.41790i | ||||
\(994\) | 7.33284e12 | − | 4.15866e13i | 0.238250 | − | 1.35119i | ||||
\(995\) | 2.50683e13 | + | 2.10348e13i | 0.810813 | + | 0.680353i | ||||
\(996\) | −3.77876e12 | − | 1.91565e12i | −0.121670 | − | 0.0616807i | ||||
\(997\) | −1.36357e13 | − | 4.96298e12i | −0.437067 | − | 0.159079i | 0.114109 | − | 0.993468i | \(-0.463599\pi\) |
−0.551176 | + | 0.834389i | \(0.685821\pi\) | |||||||
\(998\) | 8.62832e12 | 0.275321 | ||||||||
\(999\) | 2.74464e13 | + | 1.03429e13i | 0.871847 | + | 0.328547i |
(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 | 27.10.e.a.4.7 | ✓ | 156 | |
3.2 | odd | 2 | 81.10.e.a.64.20 | 156 | |||
27.7 | even | 9 | inner | 27.10.e.a.7.7 | yes | 156 | |
27.20 | odd | 18 | 81.10.e.a.19.20 | 156 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
27.10.e.a.4.7 | ✓ | 156 | 1.1 | even | 1 | trivial | |
27.10.e.a.7.7 | yes | 156 | 27.7 | even | 9 | inner | |
81.10.e.a.19.20 | 156 | 27.20 | odd | 18 | |||
81.10.e.a.64.20 | 156 | 3.2 | odd | 2 |