Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [69,8,Mod(5,69)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(69, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 1]))
N = Newforms(chi, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("69.5");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 69 = 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 69.g (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: | \(21.5545667584\) |
Analytic rank: | \(0\) |
Dimension: | \(540\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 5.3 | ||
Character | \(\chi\) | \(=\) | 69.5 |
Dual form | 69.8.g.a.14.3 |
$q$-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 \(\left(\mathbb{Z}/69\mathbb{Z}\right)^\times\).
\(n\) | \(28\) | \(47\) |
\(\chi(n)\) | \(e\left(\frac{1}{22}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −5.98416 | + | 20.3802i | −0.528930 | + | 1.80137i | 0.0662825 | + | 0.997801i | \(0.478886\pi\) |
−0.595212 | + | 0.803569i | \(0.702932\pi\) | |||||||
\(3\) | −23.3594 | + | 40.5134i | −0.499502 | + | 0.866313i | ||||
\(4\) | −271.861 | − | 174.714i | −2.12391 | − | 1.36496i | ||||
\(5\) | 41.5571 | − | 289.036i | 0.148679 | − | 1.03409i | −0.769706 | − | 0.638399i | \(-0.779597\pi\) |
0.918385 | − | 0.395688i | \(-0.129494\pi\) | |||||||
\(6\) | −685.885 | − | 718.507i | −1.29635 | − | 1.35801i | ||||
\(7\) | 104.054 | − | 47.5200i | 0.114661 | − | 0.0523640i | −0.357259 | − | 0.934006i | \(-0.616288\pi\) |
0.471920 | + | 0.881642i | \(0.343561\pi\) | |||||||
\(8\) | 3132.84 | − | 2714.62i | 2.16333 | − | 1.87454i | ||||
\(9\) | −1095.68 | − | 1892.74i | −0.500996 | − | 0.865450i | ||||
\(10\) | 5641.92 | + | 2576.58i | 1.78413 | + | 0.814785i | ||||
\(11\) | −2851.97 | + | 837.414i | −0.646057 | + | 0.189699i | −0.588315 | − | 0.808632i | \(-0.700208\pi\) |
−0.0577422 | + | 0.998332i | \(0.518390\pi\) | |||||||
\(12\) | 13428.8 | − | 6932.79i | 2.24338 | − | 1.15817i | ||||
\(13\) | −3480.42 | + | 7621.06i | −0.439370 | + | 0.962085i | 0.552344 | + | 0.833616i | \(0.313733\pi\) |
−0.991714 | + | 0.128469i | \(0.958994\pi\) | |||||||
\(14\) | 345.788 | + | 2405.01i | 0.0336792 | + | 0.234244i | ||||
\(15\) | 10739.1 | + | 8435.32i | 0.821577 | + | 0.645331i | ||||
\(16\) | 19393.5 | + | 42465.8i | 1.18369 | + | 2.59191i | ||||
\(17\) | −10653.2 | + | 6846.40i | −0.525907 | + | 0.337980i | −0.776505 | − | 0.630111i | \(-0.783009\pi\) |
0.250598 | + | 0.968091i | \(0.419373\pi\) | |||||||
\(18\) | 45131.0 | − | 11003.7i | 1.82399 | − | 0.444717i | ||||
\(19\) | 25195.8 | − | 39205.5i | 0.842735 | − | 1.31132i | −0.105716 | − | 0.994396i | \(-0.533713\pi\) |
0.948451 | − | 0.316925i | \(-0.102650\pi\) | |||||||
\(20\) | −61796.4 | + | 71316.9i | −1.72726 | + | 1.99337i | ||||
\(21\) | −505.445 | + | 5325.63i | −0.0119099 | + | 0.125488i | ||||
\(22\) | − | 63134.9i | − | 1.26412i | ||||||
\(23\) | 49905.7 | + | 30236.6i | 0.855268 | + | 0.518185i | ||||
\(24\) | 36797.4 | + | 190334.i | 0.543348 | + | 2.81046i | ||||
\(25\) | −6854.43 | − | 2012.64i | −0.0877367 | − | 0.0257618i | ||||
\(26\) | −134491. | − | 116537.i | −1.50068 | − | 1.30034i | ||||
\(27\) | 102276. | − | 176.484i | 0.999999 | − | 0.00172557i | ||||
\(28\) | −36590.7 | − | 5260.94i | −0.315005 | − | 0.0452908i | ||||
\(29\) | −91674.0 | − | 142647.i | −0.697996 | − | 1.08610i | −0.991495 | − | 0.130144i | \(-0.958456\pi\) |
0.293499 | − | 0.955959i | \(-0.405180\pi\) | |||||||
\(30\) | −236178. | + | 168386.i | −1.59704 | + | 1.13863i | ||||
\(31\) | 25176.2 | + | 29054.9i | 0.151784 | + | 0.175168i | 0.826549 | − | 0.562864i | \(-0.190301\pi\) |
−0.674766 | + | 0.738032i | \(0.735755\pi\) | |||||||
\(32\) | −456312. | + | 65607.8i | −2.46171 | + | 0.353941i | ||||
\(33\) | 32693.8 | − | 135105.i | 0.158368 | − | 0.654443i | ||||
\(34\) | −75780.3 | − | 258084.i | −0.330659 | − | 1.12612i | ||||
\(35\) | −9410.79 | − | 32050.2i | −0.0371012 | − | 0.126355i | ||||
\(36\) | −32816.6 | + | 705992.i | −0.117229 | + | 2.52198i | ||||
\(37\) | 327870. | − | 47140.6i | 1.06413 | − | 0.152999i | 0.412060 | − | 0.911157i | \(-0.364809\pi\) |
0.652071 | + | 0.758158i | \(0.273900\pi\) | |||||||
\(38\) | 648238. | + | 748107.i | 1.91643 | + | 2.21167i | ||||
\(39\) | −227455. | − | 319027.i | −0.614001 | − | 0.861195i | ||||
\(40\) | −654431. | − | 1.01831e6i | −1.61679 | − | 2.51578i | ||||
\(41\) | −361781. | − | 52016.3i | −0.819789 | − | 0.117868i | −0.280356 | − | 0.959896i | \(-0.590452\pi\) |
−0.539434 | + | 0.842028i | \(0.681362\pi\) | |||||||
\(42\) | −105513. | − | 42170.5i | −0.219751 | − | 0.0878286i | ||||
\(43\) | 487993. | + | 422849.i | 0.935997 | + | 0.811046i | 0.982191 | − | 0.187887i | \(-0.0601638\pi\) |
−0.0461940 | + | 0.998932i | \(0.514709\pi\) | |||||||
\(44\) | 921647. | + | 270620.i | 1.63110 | + | 0.478934i | ||||
\(45\) | −592603. | + | 238034.i | −0.969438 | + | 0.389399i | ||||
\(46\) | −914870. | + | 836146.i | −1.38582 | + | 1.26657i | ||||
\(47\) | 848920.i | 1.19268i | 0.802731 | + | 0.596341i | \(0.203379\pi\) | ||||
−0.802731 | + | 0.596341i | \(0.796621\pi\) | |||||||
\(48\) | −2.17346e6 | − | 206279.i | −2.83666 | − | 0.269221i | ||||
\(49\) | −530737. | + | 612503.i | −0.644456 | + | 0.743741i | ||||
\(50\) | 82035.9 | − | 127650.i | 0.0928131 | − | 0.144420i | ||||
\(51\) | −28518.9 | − | 591526.i | −0.0301049 | − | 0.624422i | ||||
\(52\) | 2.27770e6 | − | 1.46379e6i | 2.24638 | − | 1.44366i | ||||
\(53\) | 325252. | + | 712203.i | 0.300092 | + | 0.657110i | 0.998269 | − | 0.0588152i | \(-0.0187323\pi\) |
−0.698177 | + | 0.715926i | \(0.746005\pi\) | |||||||
\(54\) | −608437. | + | 2.08545e6i | −0.525821 | + | 1.80228i | ||||
\(55\) | 123523. | + | 859123.i | 0.100110 | + | 0.696283i | ||||
\(56\) | 196986. | − | 431340.i | 0.149892 | − | 0.328217i | ||||
\(57\) | 999789. | + | 1.93659e6i | 0.715067 | + | 1.38508i | ||||
\(58\) | 3.45577e6 | − | 1.01471e6i | 2.32566 | − | 0.682877i | ||||
\(59\) | −1.61995e6 | − | 739805.i | −1.02688 | − | 0.468959i | −0.170526 | − | 0.985353i | \(-0.554547\pi\) |
−0.856351 | + | 0.516394i | \(0.827274\pi\) | |||||||
\(60\) | −1.44577e6 | − | 4.16951e6i | −0.864109 | − | 2.49204i | ||||
\(61\) | 2.38120e6 | − | 2.06332e6i | 1.34320 | − | 1.16389i | 0.371300 | − | 0.928513i | \(-0.378912\pi\) |
0.971903 | − | 0.235380i | \(-0.0756334\pi\) | |||||||
\(62\) | −742803. | + | 339227.i | −0.395825 | + | 0.180767i | ||||
\(63\) | −203953. | − | 144881.i | −0.102763 | − | 0.0729993i | ||||
\(64\) | 543125. | − | 3.77752e6i | 0.258982 | − | 1.80126i | ||||
\(65\) | 2.05812e6 | + | 1.32268e6i | 0.929554 | + | 0.597388i | ||||
\(66\) | 2.55781e6 | + | 1.47479e6i | 1.09513 | + | 0.631433i | ||||
\(67\) | 640034. | − | 2.17975e6i | 0.259981 | − | 0.885413i | −0.721266 | − | 0.692658i | \(-0.756440\pi\) |
0.981247 | − | 0.192755i | \(-0.0617422\pi\) | |||||||
\(68\) | 4.09235e6 | 1.57831 | ||||||||
\(69\) | −2.39075e6 | + | 1.31554e6i | −0.876119 | + | 0.482096i | ||||
\(70\) | 709504. | 0.247236 | ||||||||
\(71\) | 1.58488e6 | − | 5.39761e6i | 0.525524 | − | 1.78977i | −0.0833698 | − | 0.996519i | \(-0.526568\pi\) |
0.608894 | − | 0.793252i | \(-0.291614\pi\) | |||||||
\(72\) | −8.57064e6 | − | 2.95529e6i | −2.70614 | − | 0.933118i | ||||
\(73\) | 2.29076e6 | + | 1.47218e6i | 0.689208 | + | 0.442927i | 0.837804 | − | 0.545971i | \(-0.183839\pi\) |
−0.148596 | + | 0.988898i | \(0.547475\pi\) | |||||||
\(74\) | −1.00129e6 | + | 6.96414e6i | −0.287243 | + | 1.99782i | ||||
\(75\) | 241654. | − | 230682.i | 0.0661424 | − | 0.0631393i | ||||
\(76\) | −1.36995e7 | + | 6.25635e6i | −3.57979 | + | 1.63483i | ||||
\(77\) | −256966. | + | 222662.i | −0.0641442 | + | 0.0555813i | ||||
\(78\) | 7.86295e6 | − | 2.72646e6i | 1.87609 | − | 0.650531i | ||||
\(79\) | 5.05553e6 | + | 2.30878e6i | 1.15364 | + | 0.526851i | 0.898033 | − | 0.439929i | \(-0.144996\pi\) |
0.255610 | + | 0.966780i | \(0.417724\pi\) | |||||||
\(80\) | 1.30801e7 | − | 3.84066e6i | 2.85625 | − | 0.838670i | ||||
\(81\) | −2.38195e6 | + | 4.14766e6i | −0.498006 | + | 0.867173i | ||||
\(82\) | 3.22505e6 | − | 7.06189e6i | 0.645935 | − | 1.41440i | ||||
\(83\) | 391421. | + | 2.72240e6i | 0.0751400 | + | 0.522610i | 0.992277 | + | 0.124039i | \(0.0395848\pi\) |
−0.917137 | + | 0.398571i | \(0.869506\pi\) | |||||||
\(84\) | 1.06787e6 | − | 1.35952e6i | 0.196581 | − | 0.250270i | ||||
\(85\) | 1.53614e6 | + | 3.36368e6i | 0.271309 | + | 0.594084i | ||||
\(86\) | −1.15380e7 | + | 7.41499e6i | −1.95607 | + | 1.25709i | ||||
\(87\) | 7.92059e6 | − | 381870.i | 1.28956 | − | 0.0621725i | ||||
\(88\) | −6.66150e6 | + | 1.03655e7i | −1.04204 | + | 1.62144i | ||||
\(89\) | 801143. | − | 924568.i | 0.120461 | − | 0.139019i | −0.692316 | − | 0.721594i | \(-0.743410\pi\) |
0.812777 | + | 0.582576i | \(0.197955\pi\) | |||||||
\(90\) | −1.30494e6 | − | 1.35018e7i | −0.188687 | − | 1.95228i | ||||
\(91\) | 958392.i | 0.133321i | ||||||||
\(92\) | −8.28463e6 | − | 1.69394e7i | −1.10922 | − | 2.26798i | ||||
\(93\) | −1.76522e6 | + | 341271.i | −0.227566 | + | 0.0439956i | ||||
\(94\) | −1.73011e7 | − | 5.08007e6i | −2.14846 | − | 0.630845i | ||||
\(95\) | −1.02847e7 | − | 8.91176e6i | −1.23072 | − | 1.06643i | ||||
\(96\) | 8.00118e6 | − | 2.00193e7i | 0.923006 | − | 2.30941i | ||||
\(97\) | −101010. | − | 14523.1i | −0.0112374 | − | 0.00161569i | 0.136694 | − | 0.990613i | \(-0.456352\pi\) |
−0.147931 | + | 0.988998i | \(0.547261\pi\) | |||||||
\(98\) | −9.30690e6 | − | 1.44818e7i | −0.998881 | − | 1.55429i | ||||
\(99\) | 4.70985e6 | + | 4.48050e6i | 0.487847 | + | 0.464091i | ||||
\(100\) | 1.51181e6 | + | 1.74472e6i | 0.151181 | + | 0.174472i | ||||
\(101\) | 1.25870e7 | − | 1.80973e6i | 1.21562 | − | 0.174779i | 0.495484 | − | 0.868617i | \(-0.334991\pi\) |
0.720131 | + | 0.693838i | \(0.244082\pi\) | |||||||
\(102\) | 1.22261e7 | + | 2.95856e6i | 1.14074 | + | 0.276045i | ||||
\(103\) | −289703. | − | 986639.i | −0.0261230 | − | 0.0889668i | 0.945400 | − | 0.325913i | \(-0.105672\pi\) |
−0.971523 | + | 0.236946i | \(0.923853\pi\) | |||||||
\(104\) | 9.78468e6 | + | 3.33235e7i | 0.852962 | + | 2.90492i | ||||
\(105\) | 1.51829e6 | + | 367410.i | 0.127995 | + | 0.0309733i | ||||
\(106\) | −1.64612e7 | + | 2.36676e6i | −1.34243 | + | 0.193012i | ||||
\(107\) | 1.80883e6 | + | 2.08750e6i | 0.142743 | + | 0.164734i | 0.822619 | − | 0.568593i | \(-0.192512\pi\) |
−0.679876 | + | 0.733327i | \(0.737966\pi\) | |||||||
\(108\) | −2.78356e7 | − | 1.78210e7i | −2.12626 | − | 1.36129i | ||||
\(109\) | 1.22820e7 | + | 1.91112e7i | 0.908399 | + | 1.41350i | 0.910505 | + | 0.413498i | \(0.135693\pi\) |
−0.00210593 | + | 0.999998i | \(0.500670\pi\) | |||||||
\(110\) | −1.82483e7 | − | 2.62370e6i | −1.30721 | − | 0.187949i | ||||
\(111\) | −5.74901e6 | + | 1.43843e7i | −0.398991 | + | 0.998294i | ||||
\(112\) | 4.03595e6 | + | 3.49717e6i | 0.271446 | + | 0.235209i | ||||
\(113\) | 6.20929e6 | + | 1.82321e6i | 0.404825 | + | 0.118867i | 0.477805 | − | 0.878466i | \(-0.341433\pi\) |
−0.0729797 | + | 0.997333i | \(0.523251\pi\) | |||||||
\(114\) | −4.54508e7 | + | 8.78705e6i | −2.87326 | + | 0.555490i | ||||
\(115\) | 1.08134e7 | − | 1.31680e7i | 0.663009 | − | 0.807378i | ||||
\(116\) | 5.47970e7i | 3.25952i | ||||||||
\(117\) | 1.82381e7 | − | 1.76270e6i | 1.05276 | − | 0.101749i | ||||
\(118\) | 2.47714e7 | − | 2.85877e7i | 1.38791 | − | 1.60174i | ||||
\(119\) | −783170. | + | 1.21864e6i | −0.0426031 | + | 0.0662918i | ||||
\(120\) | 5.65425e7 | − | 2.72605e6i | 2.98704 | − | 0.144012i | ||||
\(121\) | −8.96117e6 | + | 5.75900e6i | −0.459850 | + | 0.295528i | ||||
\(122\) | 2.78014e7 | + | 6.08766e7i | 1.38614 | + | 3.03522i | ||||
\(123\) | 1.05583e7 | − | 1.34419e7i | 0.511597 | − | 0.651319i | ||||
\(124\) | −1.76812e6 | − | 1.22975e7i | −0.0832791 | − | 0.579219i | ||||
\(125\) | 8.61035e6 | − | 1.88540e7i | 0.394308 | − | 0.863414i | ||||
\(126\) | 4.17318e6 | − | 3.28960e6i | 0.185853 | − | 0.146503i | ||||
\(127\) | 9.58915e6 | − | 2.81563e6i | 0.415400 | − | 0.121973i | −0.0673524 | − | 0.997729i | \(-0.521455\pi\) |
0.482753 | + | 0.875757i | \(0.339637\pi\) | |||||||
\(128\) | 2.00602e7 | + | 9.16119e6i | 0.845474 | + | 0.386115i | ||||
\(129\) | −2.85303e7 | + | 9.89281e6i | −1.17015 | + | 0.405747i | ||||
\(130\) | −3.92725e7 | + | 3.40298e7i | −1.56779 | + | 1.35849i | ||||
\(131\) | −1.20790e6 | + | 551628.i | −0.0469441 | + | 0.0214386i | −0.438749 | − | 0.898610i | \(-0.644578\pi\) |
0.391805 | + | 0.920048i | \(0.371851\pi\) | |||||||
\(132\) | −3.24929e7 | + | 3.10176e7i | −1.22964 | + | 1.17381i | ||||
\(133\) | 758689. | − | 5.27680e6i | 0.0279630 | − | 0.194487i | ||||
\(134\) | 4.05937e7 | + | 2.60880e7i | 1.45744 | + | 0.936642i | ||||
\(135\) | 4.19927e6 | − | 2.95687e7i | 0.146895 | − | 1.03434i | ||||
\(136\) | −1.47894e7 | + | 5.03680e7i | −0.504155 | + | 1.71699i | ||||
\(137\) | −1.03841e7 | −0.345023 | −0.172511 | − | 0.985008i | \(-0.555188\pi\) | ||||
−0.172511 | + | 0.985008i | \(0.555188\pi\) | |||||||
\(138\) | −1.25043e7 | − | 5.65964e7i | −0.405027 | − | 1.83321i | ||||
\(139\) | −2.23619e7 | −0.706249 | −0.353124 | − | 0.935576i | \(-0.614881\pi\) | ||||
−0.353124 | + | 0.935576i | \(0.614881\pi\) | |||||||
\(140\) | −3.04120e6 | + | 1.03574e7i | −0.0936693 | + | 0.319008i | ||||
\(141\) | −3.43927e7 | − | 1.98303e7i | −1.03324 | − | 0.595747i | ||||
\(142\) | 1.00520e8 | + | 6.46003e7i | 2.94607 | + | 1.89333i | ||||
\(143\) | 3.54408e6 | − | 2.46496e7i | 0.101351 | − | 0.704910i | ||||
\(144\) | 5.91277e7 | − | 8.32357e7i | 1.65015 | − | 2.32296i | ||||
\(145\) | −4.50400e7 | + | 2.05691e7i | −1.22690 | + | 0.560307i | ||||
\(146\) | −4.37117e7 | + | 3.78764e7i | −1.16242 | + | 1.00724i | ||||
\(147\) | −1.24169e7 | − | 3.58097e7i | −0.322406 | − | 0.929800i | ||||
\(148\) | −9.73710e7 | − | 4.44679e7i | −2.46896 | − | 1.12754i | ||||
\(149\) | 6.63557e7 | − | 1.94838e7i | 1.64333 | − | 0.482527i | 0.676185 | − | 0.736732i | \(-0.263632\pi\) |
0.967150 | + | 0.254205i | \(0.0818139\pi\) | |||||||
\(150\) | 3.25525e6 | + | 6.30539e6i | 0.0787526 | + | 0.152543i | ||||
\(151\) | 2.96432e7 | − | 6.49095e7i | 0.700657 | − | 1.53423i | −0.138515 | − | 0.990360i | \(-0.544233\pi\) |
0.839173 | − | 0.543865i | \(-0.183040\pi\) | |||||||
\(152\) | −2.74935e7 | − | 1.91221e8i | −0.635005 | − | 4.41656i | ||||
\(153\) | 2.46309e7 | + | 1.26623e7i | 0.555982 | + | 0.285819i | ||||
\(154\) | −3.00017e6 | − | 6.56945e6i | −0.0661946 | − | 0.144946i | ||||
\(155\) | 9.44418e6 | − | 6.06940e6i | 0.203706 | − | 0.130914i | ||||
\(156\) | 6.09744e6 | + | 1.26470e8i | 0.128591 | + | 2.66718i | ||||
\(157\) | 2.66309e7 | − | 4.14384e7i | 0.549208 | − | 0.854584i | −0.450054 | − | 0.893001i | \(-0.648595\pi\) |
0.999262 | + | 0.0384175i | \(0.0122317\pi\) | |||||||
\(158\) | −7.73064e7 | + | 8.92164e7i | −1.55925 | + | 1.79947i | ||||
\(159\) | −3.64515e7 | − | 3.45954e6i | −0.719160 | − | 0.0682540i | ||||
\(160\) | 1.34617e8i | 2.59825i | ||||||||
\(161\) | 6.62973e6 | + | 774725.i | 0.125200 | + | 0.0146304i | ||||
\(162\) | −7.02761e7 | − | 7.33648e7i | −1.29869 | − | 1.35577i | ||||
\(163\) | −5.22143e7 | − | 1.53315e7i | −0.944349 | − | 0.277286i | −0.226917 | − | 0.973914i | \(-0.572865\pi\) |
−0.717432 | + | 0.696628i | \(0.754683\pi\) | |||||||
\(164\) | 8.92661e7 | + | 7.73495e7i | 1.58028 | + | 1.36932i | ||||
\(165\) | −3.76915e7 | − | 1.50642e7i | −0.653204 | − | 0.261068i | ||||
\(166\) | −5.78252e7 | − | 8.31401e6i | −0.981158 | − | 0.141069i | ||||
\(167\) | −9.32788e6 | − | 1.45145e7i | −0.154980 | − | 0.241153i | 0.755078 | − | 0.655635i | \(-0.227599\pi\) |
−0.910058 | + | 0.414482i | \(0.863963\pi\) | |||||||
\(168\) | 1.28736e7 | + | 1.80564e7i | 0.209468 | + | 0.293798i | ||||
\(169\) | −4.87565e6 | − | 5.62680e6i | −0.0777014 | − | 0.0896722i | ||||
\(170\) | −7.77448e7 | + | 1.11780e7i | −1.21367 | + | 0.174499i | ||||
\(171\) | −1.01812e8 | − | 4.73253e6i | −1.55709 | − | 0.0723781i | ||||
\(172\) | −5.87885e7 | − | 2.00215e8i | −0.880933 | − | 3.00018i | ||||
\(173\) | 3.27515e7 | + | 1.11541e8i | 0.480916 | + | 1.63785i | 0.740446 | + | 0.672116i | \(0.234614\pi\) |
−0.259530 | + | 0.965735i | \(0.583568\pi\) | |||||||
\(174\) | −3.96155e7 | + | 1.63708e8i | −0.570089 | + | 2.35585i | ||||
\(175\) | −808873. | + | 116298.i | −0.0114090 | + | 0.00164036i | ||||
\(176\) | −9.08712e7 | − | 1.04871e8i | −1.25641 | − | 1.44998i | ||||
\(177\) | 6.78130e7 | − | 4.83482e7i | 0.919192 | − | 0.655351i | ||||
\(178\) | 1.40487e7 | + | 2.18602e7i | 0.186709 | + | 0.290525i | ||||
\(179\) | −8.78708e6 | − | 1.26339e6i | −0.114514 | − | 0.0164646i | 0.0848195 | − | 0.996396i | \(-0.472969\pi\) |
−0.199334 | + | 0.979932i | \(0.563878\pi\) | |||||||
\(180\) | 2.02693e8 | + | 3.88241e7i | 2.59051 | + | 0.496190i | ||||
\(181\) | 5.52553e7 | + | 4.78790e7i | 0.692627 | + | 0.600164i | 0.928373 | − | 0.371650i | \(-0.121208\pi\) |
−0.235746 | + | 0.971815i | \(0.575753\pi\) | |||||||
\(182\) | −1.95322e7 | − | 5.73517e6i | −0.240160 | − | 0.0705174i | ||||
\(183\) | 2.79689e7 | + | 1.44669e8i | 0.337362 | + | 1.74500i | ||||
\(184\) | 2.38427e8 | − | 4.07487e7i | 2.82159 | − | 0.482226i | ||||
\(185\) | − | 9.67252e7i | − | 1.12315i | ||||||
\(186\) | 3.60818e6 | − | 3.80176e7i | 0.0411143 | − | 0.433201i | ||||
\(187\) | 2.46494e7 | − | 2.84469e7i | 0.275651 | − | 0.318119i | ||||
\(188\) | 1.48319e8 | − | 2.30788e8i | 1.62796 | − | 2.53315i | ||||
\(189\) | 1.06338e7 | − | 4.87850e6i | 0.114571 | − | 0.0525618i | ||||
\(190\) | 2.43169e8 | − | 1.56275e8i | 2.57199 | − | 1.65292i | ||||
\(191\) | −5.09870e7 | − | 1.11646e8i | −0.529471 | − | 1.15938i | −0.965728 | − | 0.259558i | \(-0.916423\pi\) |
0.436256 | − | 0.899822i | \(-0.356304\pi\) | |||||||
\(192\) | 1.40353e8 | + | 1.10244e8i | 1.43109 | + | 1.12409i | ||||
\(193\) | −1.08718e7 | − | 7.56153e7i | −0.108856 | − | 0.757110i | −0.969000 | − | 0.247059i | \(-0.920536\pi\) |
0.860144 | − | 0.510051i | \(-0.170373\pi\) | |||||||
\(194\) | 900443. | − | 1.97170e6i | 0.00885422 | − | 0.0193880i | ||||
\(195\) | −1.01663e8 | + | 5.24848e7i | −0.981839 | + | 0.506888i | ||||
\(196\) | 2.51299e8 | − | 7.37882e7i | 2.38394 | − | 0.699988i | ||||
\(197\) | −5.65073e7 | − | 2.58060e7i | −0.526590 | − | 0.240486i | 0.134337 | − | 0.990936i | \(-0.457110\pi\) |
−0.660927 | + | 0.750450i | \(0.729837\pi\) | |||||||
\(198\) | −1.19498e8 | + | 6.91755e7i | −1.09404 | + | 0.633321i | ||||
\(199\) | 1.10516e8 | − | 9.57627e7i | 0.994121 | − | 0.861411i | 0.00377028 | − | 0.999993i | \(-0.498800\pi\) |
0.990351 | + | 0.138582i | \(0.0442544\pi\) | |||||||
\(200\) | −2.69374e7 | + | 1.23019e7i | −0.238095 | + | 0.108734i | ||||
\(201\) | 7.33585e7 | + | 7.68477e7i | 0.637183 | + | 0.667490i | ||||
\(202\) | −3.84397e7 | + | 2.67354e8i | −0.328134 | + | 2.28222i | ||||
\(203\) | −1.63177e7 | − | 1.04867e7i | −0.136906 | − | 0.0879840i | ||||
\(204\) | −9.55948e7 | + | 1.65795e8i | −0.788367 | + | 1.36731i | ||||
\(205\) | −3.00691e7 | + | 1.02406e8i | −0.243771 | + | 0.830209i | ||||
\(206\) | 2.18415e7 | 0.174079 | ||||||||
\(207\) | 2.54934e6 | − | 1.27588e8i | 0.0199771 | − | 0.999800i | ||||
\(208\) | −3.91132e8 | −3.01371 | ||||||||
\(209\) | −3.90265e7 | + | 1.32912e8i | −0.295698 | + | 1.00705i | ||||
\(210\) | −1.65736e7 | + | 2.87445e7i | −0.123495 | + | 0.214184i | ||||
\(211\) | 1.37668e8 | + | 8.84736e7i | 1.00889 | + | 0.648373i | 0.937105 | − | 0.349047i | \(-0.113495\pi\) |
0.0717829 | + | 0.997420i | \(0.477131\pi\) | |||||||
\(212\) | 3.60087e7 | − | 2.50446e8i | 0.259557 | − | 1.80526i | ||||
\(213\) | 1.81654e8 | + | 1.90294e8i | 1.28800 | + | 1.34926i | ||||
\(214\) | −5.33680e7 | + | 2.43723e7i | −0.372248 | + | 0.170000i | ||||
\(215\) | 1.42498e8 | − | 1.23475e8i | 0.977855 | − | 0.847316i | ||||
\(216\) | 3.19934e8 | − | 2.78192e8i | 2.16009 | − | 1.87827i | ||||
\(217\) | 4.00038e6 | + | 1.82691e6i | 0.0265762 | + | 0.0121369i | ||||
\(218\) | −4.62986e8 | + | 1.35945e8i | −3.02671 | + | 0.888722i | ||||
\(219\) | −1.13154e8 | + | 5.84174e7i | −0.727974 | + | 0.375827i | ||||
\(220\) | 1.16520e8 | − | 2.55143e8i | 0.737770 | − | 1.61549i | ||||
\(221\) | −1.50992e7 | − | 1.05017e8i | −0.0940979 | − | 0.654465i | ||||
\(222\) | −2.58752e8 | − | 2.03244e8i | −1.58726 | − | 1.24676i | ||||
\(223\) | 9.41789e7 | + | 2.06223e8i | 0.568704 | + | 1.24529i | 0.947484 | + | 0.319802i | \(0.103616\pi\) |
−0.378780 | + | 0.925487i | \(0.623656\pi\) | |||||||
\(224\) | −4.43635e7 | + | 2.85107e7i | −0.263729 | + | 0.169488i | ||||
\(225\) | 3.70084e6 | + | 1.51788e7i | 0.0216602 | + | 0.0888382i | ||||
\(226\) | −7.43147e7 | + | 1.15636e8i | −0.428248 | + | 0.666367i | ||||
\(227\) | −7.04865e7 | + | 8.13458e7i | −0.399959 | + | 0.461577i | −0.919628 | − | 0.392790i | \(-0.871510\pi\) |
0.519669 | + | 0.854368i | \(0.326055\pi\) | |||||||
\(228\) | 6.65456e7 | − | 7.01159e8i | 0.371832 | − | 3.91782i | ||||
\(229\) | − | 790291.i | − | 0.00434874i | −0.999998 | − | 0.00217437i | \(-0.999308\pi\) | ||
0.999998 | − | 0.00217437i | \(-0.000692123\pi\) | |||||||
\(230\) | 2.03657e8 | + | 2.99178e8i | 1.10370 | + | 1.62137i | ||||
\(231\) | −3.01824e6 | − | 1.56118e7i | −0.0161106 | − | 0.0833319i | ||||
\(232\) | −6.74433e8 | − | 1.98031e8i | −3.54594 | − | 1.04118i | ||||
\(233\) | 1.79902e8 | + | 1.55886e8i | 0.931731 | + | 0.807349i | 0.981510 | − | 0.191411i | \(-0.0613064\pi\) |
−0.0497794 | + | 0.998760i | \(0.515852\pi\) | |||||||
\(234\) | −7.32154e7 | + | 3.82244e8i | −0.373549 | + | 1.95022i | ||||
\(235\) | 2.45369e8 | + | 3.52787e7i | 1.23334 | + | 0.177327i | ||||
\(236\) | 3.11145e8 | + | 4.84151e8i | 1.54089 | + | 2.39767i | ||||
\(237\) | −2.11631e8 | + | 1.50885e8i | −1.03266 | + | 0.736253i | ||||
\(238\) | −2.01494e7 | − | 2.32536e7i | −0.0968819 | − | 0.111808i | ||||
\(239\) | −2.91911e8 | + | 4.19705e7i | −1.38311 | + | 0.198862i | −0.793376 | − | 0.608732i | \(-0.791678\pi\) |
−0.589739 | + | 0.807594i | \(0.700769\pi\) | |||||||
\(240\) | −1.49945e8 | + | 6.19635e8i | −0.700150 | + | 2.89332i | ||||
\(241\) | −8.03966e7 | − | 2.73806e8i | −0.369980 | − | 1.26004i | −0.908664 | − | 0.417528i | \(-0.862896\pi\) |
0.538684 | − | 0.842508i | \(-0.318922\pi\) | |||||||
\(242\) | −6.37443e7 | − | 2.17093e8i | −0.289126 | − | 0.984673i | ||||
\(243\) | −1.12395e8 | − | 1.93388e8i | −0.502489 | − | 0.864584i | ||||
\(244\) | −1.00785e9 | + | 1.44907e8i | −4.44151 | + | 0.638592i | ||||
\(245\) | 1.54980e8 | + | 1.78856e8i | 0.673276 | + | 0.777002i | ||||
\(246\) | 2.10766e8 | + | 2.95619e8i | 0.902667 | + | 1.26608i | ||||
\(247\) | 2.11095e8 | + | 3.28470e8i | 0.891330 | + | 1.38694i | ||||
\(248\) | 1.57746e8 | + | 2.26805e7i | 0.656717 | + | 0.0944216i | ||||
\(249\) | −1.19437e8 | − | 4.77357e7i | −0.490277 | − | 0.195950i | ||||
\(250\) | 3.32723e8 | + | 2.88306e8i | 1.34677 | + | 1.16698i | ||||
\(251\) | 1.19653e7 | + | 3.51334e6i | 0.0477603 | + | 0.0140237i | 0.305525 | − | 0.952184i | \(-0.401168\pi\) |
−0.257765 | + | 0.966208i | \(0.582986\pi\) | |||||||
\(252\) | 3.01340e7 | + | 7.50208e7i | 0.118619 | + | 0.295311i | ||||
\(253\) | −1.67650e8 | − | 4.44421e7i | −0.650851 | − | 0.172533i | ||||
\(254\) | 2.12278e8i | 0.812804i | ||||||||
\(255\) | −1.72157e8 | − | 1.63391e7i | −0.650182 | − | 0.0617075i | ||||
\(256\) | 1.31459e7 | − | 1.51712e7i | 0.0489723 | − | 0.0565171i | ||||
\(257\) | 2.43234e8 | − | 3.78479e8i | 0.893837 | − | 1.39084i | −0.0264737 | − | 0.999650i | \(-0.508428\pi\) |
0.920311 | − | 0.391188i | \(-0.127936\pi\) | |||||||
\(258\) | −3.08874e7 | − | 6.40652e8i | −0.111973 | − | 2.32249i | ||||
\(259\) | 3.18761e7 | − | 2.04855e7i | 0.114003 | − | 0.0732653i | ||||
\(260\) | −3.28433e8 | − | 7.19167e8i | −1.15888 | − | 2.53760i | ||||
\(261\) | −1.69549e8 | + | 3.29811e8i | −0.590274 | + | 1.14821i | ||||
\(262\) | −4.01403e6 | − | 2.79182e7i | −0.0137888 | − | 0.0959031i | ||||
\(263\) | 4.34852e7 | − | 9.52194e7i | 0.147400 | − | 0.322760i | −0.821502 | − | 0.570205i | \(-0.806864\pi\) |
0.968902 | + | 0.247445i | \(0.0795909\pi\) | |||||||
\(264\) | −2.64333e8 | − | 5.12012e8i | −0.884175 | − | 1.71264i | ||||
\(265\) | 2.19369e8 | − | 6.44125e7i | 0.724126 | − | 0.212623i | ||||
\(266\) | 1.03002e8 | + | 4.70394e7i | 0.335552 | + | 0.153241i | ||||
\(267\) | 1.87432e7 | + | 5.40544e7i | 0.0602636 | + | 0.173797i | ||||
\(268\) | −5.54834e8 | + | 4.80766e8i | −1.76072 | + | 1.52568i | ||||
\(269\) | 1.41494e8 | − | 6.46181e7i | 0.443205 | − | 0.202405i | −0.181297 | − | 0.983428i | \(-0.558029\pi\) |
0.624502 | + | 0.781024i | \(0.285302\pi\) | |||||||
\(270\) | 5.77486e8 | + | 2.62526e8i | 1.78553 | + | 0.811706i | ||||
\(271\) | 5.48465e7 | − | 3.81466e8i | 0.167401 | − | 1.16430i | −0.716831 | − | 0.697247i | \(-0.754408\pi\) |
0.884231 | − | 0.467049i | \(-0.154683\pi\) | |||||||
\(272\) | −4.97341e8 | − | 3.19622e8i | −1.49852 | − | 0.963041i | ||||
\(273\) | −3.88278e7 | − | 2.23875e7i | −0.115498 | − | 0.0665941i | ||||
\(274\) | 6.21402e7 | − | 2.11630e8i | 0.182493 | − | 0.621513i | ||||
\(275\) | 2.12340e7 | 0.0615699 | ||||||||
\(276\) | 8.79796e8 | + | 6.00542e7i | 2.51884 | + | 0.171934i | ||||
\(277\) | 2.10387e8 | 0.594758 | 0.297379 | − | 0.954760i | \(-0.403888\pi\) | ||||
0.297379 | + | 0.954760i | \(0.403888\pi\) | |||||||
\(278\) | 1.33817e8 | − | 4.55740e8i | 0.373556 | − | 1.27222i | ||||
\(279\) | 2.74083e7 | − | 7.94869e7i | 0.0755558 | − | 0.219119i | ||||
\(280\) | −1.16487e8 | − | 7.48614e7i | −0.317119 | − | 0.203800i | ||||
\(281\) | −6.90938e7 | + | 4.80558e8i | −0.185766 | + | 1.29203i | 0.657057 | + | 0.753841i | \(0.271801\pi\) |
−0.842823 | + | 0.538191i | \(0.819108\pi\) | |||||||
\(282\) | 6.09955e8 | − | 5.82261e8i | 1.61967 | − | 1.54613i | ||||
\(283\) | 2.14603e8 | − | 9.80057e7i | 0.562837 | − | 0.257039i | −0.113616 | − | 0.993525i | \(-0.536243\pi\) |
0.676453 | + | 0.736486i | \(0.263516\pi\) | |||||||
\(284\) | −1.37391e9 | + | 1.19050e9i | −3.55912 | + | 3.08400i | ||||
\(285\) | 6.01291e8 | − | 2.08496e8i | 1.53861 | − | 0.533508i | ||||
\(286\) | 4.81154e8 | + | 2.19736e8i | 1.21620 | + | 0.555418i | ||||
\(287\) | −4.01166e7 | + | 1.17793e7i | −0.100170 | + | 0.0294126i | ||||
\(288\) | 6.24150e8 | + | 7.91795e8i | 1.53963 | + | 1.95316i | ||||
\(289\) | −1.03843e8 | + | 2.27385e8i | −0.253067 | + | 0.554140i | ||||
\(290\) | −1.49675e8 | − | 1.04101e9i | −0.360376 | − | 2.50647i | ||||
\(291\) | 2.94791e6 | − | 3.75302e6i | 0.00701277 | − | 0.00892802i | ||||
\(292\) | −3.65557e8 | − | 8.00458e8i | −0.859241 | − | 1.88148i | ||||
\(293\) | −2.52018e8 | + | 1.61962e8i | −0.585321 | + | 0.376163i | −0.799531 | − | 0.600624i | \(-0.794919\pi\) |
0.214210 | + | 0.976788i | \(0.431282\pi\) | |||||||
\(294\) | 8.04112e8 | − | 3.87682e7i | 1.84544 | − | 0.0889732i | ||||
\(295\) | −2.81150e8 | + | 4.37479e8i | −0.637620 | + | 0.992155i | ||||
\(296\) | 8.99194e8 | − | 1.03773e9i | 2.01527 | − | 2.32574i | ||||
\(297\) | −2.91540e8 | + | 8.61505e7i | −0.645729 | + | 0.190814i | ||||
\(298\) | 1.46893e9i | 3.21548i | ||||||||
\(299\) | −4.04127e8 | + | 2.75098e8i | −0.874317 | + | 0.595166i | ||||
\(300\) | −1.06000e8 | + | 2.04930e7i | −0.226663 | + | 0.0438209i | ||||
\(301\) | 7.08715e7 | + | 2.08098e7i | 0.149792 | + | 0.0439829i | ||||
\(302\) | 1.14548e9 | + | 9.92562e8i | 2.39311 | + | 2.07364i | ||||
\(303\) | −2.20705e8 | + | 5.52216e8i | −0.455789 | + | 1.14041i | ||||
\(304\) | 2.15353e9 | + | 3.09631e8i | 4.39636 | + | 0.632101i | ||||
\(305\) | −4.97419e8 | − | 7.73999e8i | −1.00386 | − | 1.56204i | ||||
\(306\) | −4.05455e8 | + | 4.26209e8i | −0.808942 | + | 0.850350i | ||||
\(307\) | −2.08149e8 | − | 2.40217e8i | −0.410573 | − | 0.473826i | 0.512369 | − | 0.858765i | \(-0.328768\pi\) |
−0.922942 | + | 0.384939i | \(0.874223\pi\) | |||||||
\(308\) | 1.08761e8 | − | 1.56375e7i | 0.212103 | − | 0.0304958i | ||||
\(309\) | 4.67394e7 | + | 1.13104e7i | 0.0901216 | + | 0.0218084i | ||||
\(310\) | 6.71800e7 | + | 2.28794e8i | 0.128078 | + | 0.436193i | ||||
\(311\) | 4.42975e7 | + | 1.50863e8i | 0.0835060 | + | 0.284395i | 0.990651 | − | 0.136424i | \(-0.0435609\pi\) |
−0.907145 | + | 0.420819i | \(0.861743\pi\) | |||||||
\(312\) | −1.57862e9 | − | 3.82007e8i | −2.94263 | − | 0.712082i | ||||
\(313\) | 7.74100e7 | − | 1.11299e7i | 0.142690 | − | 0.0205157i | −0.0705999 | − | 0.997505i | \(-0.522491\pi\) |
0.213289 | + | 0.976989i | \(0.431582\pi\) | |||||||
\(314\) | 6.85159e8 | + | 7.90716e8i | 1.24893 | + | 1.44134i | ||||
\(315\) | −5.03515e7 | + | 5.29289e7i | −0.0907664 | + | 0.0954126i | ||||
\(316\) | −9.71022e8 | − | 1.51094e9i | −1.73111 | − | 2.69366i | ||||
\(317\) | −4.92605e8 | − | 7.08259e7i | −0.868543 | − | 0.124878i | −0.306385 | − | 0.951908i | \(-0.599120\pi\) |
−0.562158 | + | 0.827030i | \(0.690029\pi\) | |||||||
\(318\) | 2.88637e8 | − | 7.22185e8i | 0.503336 | − | 1.25937i | ||||
\(319\) | 3.80907e8 | + | 3.30057e8i | 0.656978 | + | 0.569275i | ||||
\(320\) | −1.06927e9 | − | 3.13965e8i | −1.82415 | − | 0.535620i | ||||
\(321\) | −1.26825e8 | + | 2.45192e7i | −0.214012 | + | 0.0413751i | ||||
\(322\) | −5.54624e7 | + | 1.30479e8i | −0.0925770 | + | 0.217794i | ||||
\(323\) | 5.90164e8i | 0.974460i | ||||||||
\(324\) | 1.37221e9 | − | 7.11426e8i | 2.24137 | − | 1.16204i | ||||
\(325\) | 3.91947e7 | − | 4.52331e7i | 0.0633339 | − | 0.0730912i | ||||
\(326\) | 6.24917e8 | − | 9.72390e8i | 0.998989 | − | 1.55446i | ||||
\(327\) | −1.06116e9 | + | 5.11610e7i | −1.67828 | + | 0.0809137i | ||||
\(328\) | −1.27461e9 | + | 8.19139e8i | −1.99442 | + | 1.28174i | ||||
\(329\) | 4.03407e7 | + | 8.83337e7i | 0.0624536 | + | 0.136754i | ||||
\(330\) | 5.32563e8 | − | 6.78011e8i | 0.815779 | − | 1.03858i | ||||
\(331\) | −6.80382e6 | − | 4.73216e7i | −0.0103123 | − | 0.0717235i | 0.984015 | − | 0.178083i | \(-0.0569896\pi\) |
−0.994328 | + | 0.106360i | \(0.966081\pi\) | |||||||
\(332\) | 3.69229e8 | − | 8.08499e8i | 0.553749 | − | 1.21254i | ||||
\(333\) | −4.48464e8 | − | 5.68921e8i | −0.665539 | − | 0.844300i | ||||
\(334\) | 3.51627e8 | − | 1.03247e8i | 0.516380 | − | 0.151623i | ||||
\(335\) | −6.03429e8 | − | 2.75577e8i | −0.876940 | − | 0.400485i | ||||
\(336\) | −2.35960e8 | + | 8.18185e7i | −0.339352 | + | 0.117669i | ||||
\(337\) | 5.47318e8 | − | 4.74254e8i | 0.778996 | − | 0.675004i | −0.171692 | − | 0.985151i | \(-0.554924\pi\) |
0.950689 | + | 0.310146i | \(0.100378\pi\) | |||||||
\(338\) | 1.43852e8 | − | 6.56949e7i | 0.202631 | − | 0.0925386i | ||||
\(339\) | −2.18910e8 | + | 2.08971e8i | −0.305187 | + | 0.291331i | ||||
\(340\) | 1.70066e8 | − | 1.18284e9i | 0.234662 | − | 1.63211i | ||||
\(341\) | −9.61330e7 | − | 6.17809e7i | −0.131290 | − | 0.0843750i | ||||
\(342\) | 7.05710e8 | − | 2.04663e9i | 0.953970 | − | 2.76661i | ||||
\(343\) | −5.26603e7 | + | 1.79344e8i | −0.0704618 | + | 0.239971i | ||||
\(344\) | 2.67668e9 | 3.54521 | ||||||||
\(345\) | 2.80887e8 | + | 7.45684e8i | 0.368268 | + | 0.977660i | ||||
\(346\) | −2.46922e9 | −3.20474 | ||||||||
\(347\) | −1.11360e8 | + | 3.79256e8i | −0.143078 | + | 0.487280i | −0.999584 | − | 0.0288582i | \(-0.990813\pi\) |
0.856505 | + | 0.516139i | \(0.172631\pi\) | |||||||
\(348\) | −2.22001e9 | − | 1.28002e9i | −2.82376 | − | 1.62814i | ||||
\(349\) | 4.39568e8 | + | 2.82493e8i | 0.553525 | + | 0.355729i | 0.787308 | − | 0.616560i | \(-0.211474\pi\) |
−0.233783 | + | 0.972289i | \(0.575111\pi\) | |||||||
\(350\) | 2.47024e6 | − | 1.71809e7i | 0.00307965 | − | 0.0214194i | ||||
\(351\) | −3.54617e8 | + | 7.80063e8i | −0.437709 | + | 0.962842i | ||||
\(352\) | 1.24645e9 | − | 5.69234e8i | 1.52326 | − | 0.695651i | ||||
\(353\) | 3.37688e8 | − | 2.92609e8i | 0.408606 | − | 0.354059i | −0.426176 | − | 0.904641i | \(-0.640139\pi\) |
0.834781 | + | 0.550581i | \(0.185594\pi\) | |||||||
\(354\) | 5.79541e8 | + | 1.67136e9i | 0.694341 | + | 2.00244i | ||||
\(355\) | −1.49424e9 | − | 6.82397e8i | −1.77264 | − | 0.809539i | ||||
\(356\) | −3.79334e8 | + | 1.11383e8i | −0.445602 | + | 0.130841i | ||||
\(357\) | −3.10768e7 | − | 6.01955e7i | −0.0361491 | − | 0.0700205i | ||||
\(358\) | 7.83314e7 | − | 1.71522e8i | 0.0902289 | − | 0.197574i | ||||
\(359\) | −1.62384e8 | − | 1.12941e9i | −0.185231 | − | 1.28831i | −0.844154 | − | 0.536100i | \(-0.819897\pi\) |
0.658923 | − | 0.752210i | \(-0.271012\pi\) | |||||||
\(360\) | −1.21036e9 | + | 2.35441e9i | −1.36727 | + | 2.65964i | ||||
\(361\) | −5.30911e8 | − | 1.16253e9i | −0.593946 | − | 1.30056i | ||||
\(362\) | −1.30644e9 | + | 8.39597e8i | −1.44747 | + | 0.930232i | ||||
\(363\) | −2.39893e7 | − | 4.97575e8i | −0.0263235 | − | 0.545990i | ||||
\(364\) | 1.67445e8 | − | 2.60549e8i | 0.181977 | − | 0.283162i | ||||
\(365\) | 5.20712e8 | − | 6.00933e8i | 0.560496 | − | 0.646847i | ||||
\(366\) | −3.11574e9 | − | 2.95709e8i | −3.32183 | − | 0.315269i | ||||
\(367\) | − | 7.62628e8i | − | 0.805344i | −0.915344 | − | 0.402672i | \(-0.868081\pi\) | ||
0.915344 | − | 0.402672i | \(-0.131919\pi\) | |||||||
\(368\) | −3.16175e8 | + | 2.70568e9i | −0.330720 | + | 2.83015i | ||||
\(369\) | 2.97942e8 | + | 7.41750e8i | 0.308702 | + | 0.768538i | ||||
\(370\) | 1.97128e9 | + | 5.78819e8i | 2.02321 | + | 0.594069i | ||||
\(371\) | 6.76877e7 | + | 5.86517e7i | 0.0688179 | + | 0.0596310i | ||||
\(372\) | 5.39518e8 | + | 2.15630e8i | 0.543383 | + | 0.217175i | ||||
\(373\) | −1.52104e9 | − | 2.18693e8i | −1.51761 | − | 0.218199i | −0.667423 | − | 0.744679i | \(-0.732603\pi\) |
−0.850188 | + | 0.526480i | \(0.823512\pi\) | |||||||
\(374\) | 4.32246e8 | + | 6.72589e8i | 0.427249 | + | 0.664812i | ||||
\(375\) | 5.62709e8 | + | 7.89253e8i | 0.551029 | + | 0.772871i | ||||
\(376\) | 2.30450e9 | + | 2.65953e9i | 2.23573 | + | 2.58016i | ||||
\(377\) | 1.40619e9 | − | 2.02179e8i | 1.35160 | − | 0.194331i | ||||
\(378\) | 3.57902e7 | + | 2.45913e8i | 0.0340834 | + | 0.234186i | ||||
\(379\) | −5.75995e7 | − | 1.96166e8i | −0.0543477 | − | 0.185091i | 0.927846 | − | 0.372965i | \(-0.121659\pi\) |
−0.982193 | + | 0.187873i | \(0.939841\pi\) | |||||||
\(380\) | 1.23900e9 | + | 4.21965e9i | 1.15832 | + | 3.94488i | ||||
\(381\) | −1.09926e8 | + | 4.54261e8i | −0.101827 | + | 0.420792i | ||||
\(382\) | 2.58048e9 | − | 3.71016e8i | 2.36853 | − | 0.340543i | ||||
\(383\) | −1.54997e8 | − | 1.78876e8i | −0.140970 | − | 0.162688i | 0.680874 | − | 0.732401i | \(-0.261600\pi\) |
−0.821844 | + | 0.569712i | \(0.807055\pi\) | |||||||
\(384\) | −8.39745e8 | + | 5.98708e8i | −0.756812 | + | 0.539580i | ||||
\(385\) | 5.36786e7 | + | 8.35255e7i | 0.0479390 | + | 0.0745945i | ||||
\(386\) | 1.60611e9 | + | 2.30924e8i | 1.42141 | + | 0.204368i | ||||
\(387\) | 2.65658e8 | − | 1.38695e9i | 0.232989 | − | 1.21639i | ||||
\(388\) | 2.49233e7 | + | 2.15962e7i | 0.0216618 | + | 0.0187701i | ||||
\(389\) | −5.56718e8 | − | 1.63467e8i | −0.479525 | − | 0.140801i | 0.0330323 | − | 0.999454i | \(-0.489484\pi\) |
−0.512557 | + | 0.858653i | \(0.671302\pi\) | |||||||
\(390\) | −4.61283e8 | − | 2.38598e9i | −0.393769 | − | 2.03676i | ||||
\(391\) | −7.38667e8 | + | 1.95579e7i | −0.624928 | + | 0.0165464i | ||||
\(392\) | 3.35962e9i | 2.81701i | ||||||||
\(393\) | 5.86738e6 | − | 6.18218e7i | 0.00487608 | − | 0.0513769i | ||||
\(394\) | 8.64080e8 | − | 9.97201e8i | 0.711733 | − | 0.821384i | ||||
\(395\) | 8.77414e8 | − | 1.36528e9i | 0.716332 | − | 1.11464i | ||||
\(396\) | −4.97616e8 | − | 2.04095e9i | −0.402681 | − | 1.65158i | ||||
\(397\) | −9.22239e8 | + | 5.92687e8i | −0.739736 | + | 0.475399i | −0.855451 | − | 0.517883i | \(-0.826720\pi\) |
0.115716 | + | 0.993282i | \(0.463084\pi\) | |||||||
\(398\) | 1.29031e9 | + | 2.82539e9i | 1.02590 | + | 2.24641i | ||||
\(399\) | 1.96059e8 | + | 1.54000e8i | 0.154519 | + | 0.121371i | ||||
\(400\) | −4.74628e7 | − | 3.30111e8i | −0.0370803 | − | 0.257899i | ||||
\(401\) | 1.21061e8 | − | 2.65086e8i | 0.0937559 | − | 0.205297i | −0.856944 | − | 0.515410i | \(-0.827640\pi\) |
0.950700 | + | 0.310113i | \(0.100367\pi\) | |||||||
\(402\) | −2.00516e9 | + | 1.03519e9i | −1.53942 | + | 0.794748i | ||||
\(403\) | −3.09053e8 | + | 9.07462e7i | −0.235215 | + | 0.0690655i | ||||
\(404\) | −3.73809e9 | − | 1.70713e9i | −2.82043 | − | 1.28805i | ||||
\(405\) | 1.09984e9 | + | 8.60834e8i | 0.822689 | + | 0.643912i | ||||
\(406\) | 3.11369e8 | − | 2.69803e8i | 0.230905 | − | 0.200081i | ||||
\(407\) | −8.95599e8 | + | 4.09006e8i | −0.658466 | + | 0.300711i | ||||
\(408\) | −1.69511e9 | − | 1.77574e9i | −1.23563 | − | 1.29440i | ||||
\(409\) | −1.51554e7 | + | 1.05408e8i | −0.0109531 | + | 0.0761805i | −0.994565 | − | 0.104119i | \(-0.966798\pi\) |
0.983612 | + | 0.180300i | \(0.0577068\pi\) | |||||||
\(410\) | −1.90712e9 | − | 1.22563e9i | −1.36657 | − | 0.878244i | ||||
\(411\) | 2.42567e8 | − | 4.20696e8i | 0.172339 | − | 0.298898i | ||||
\(412\) | −9.36209e7 | + | 3.18844e8i | −0.0659527 | + | 0.224614i | ||||
\(413\) | −2.03718e8 | −0.142300 | ||||||||
\(414\) | 2.58501e9 | + | 8.15462e8i | 1.79044 | + | 0.564810i | ||||
\(415\) | 8.03137e8 | 0.551596 | ||||||||
\(416\) | 1.08816e9 | − | 3.70592e9i | 0.741080 | − | 2.52389i | ||||
\(417\) | 5.22361e8 | − | 9.05959e8i | 0.352773 | − | 0.611832i | ||||
\(418\) | −2.47523e9 | − | 1.59074e9i | −1.65767 | − | 1.06532i | ||||
\(419\) | 9.82874e7 | − | 6.83604e8i | 0.0652753 | − | 0.454000i | −0.930803 | − | 0.365522i | \(-0.880891\pi\) |
0.996078 | − | 0.0884780i | \(-0.0282003\pi\) | |||||||
\(420\) | −3.48573e8 | − | 3.65152e8i | −0.229573 | − | 0.240492i | ||||
\(421\) | −2.03364e8 | + | 9.28733e7i | −0.132827 | + | 0.0606601i | −0.480720 | − | 0.876874i | \(-0.659625\pi\) |
0.347893 | + | 0.937534i | \(0.386897\pi\) | |||||||
\(422\) | −2.62693e9 | + | 2.27625e9i | −1.70159 | + | 1.47444i | ||||
\(423\) | 1.60678e9 | − | 9.30144e8i | 1.03221 | − | 0.597529i | ||||
\(424\) | 2.95232e9 | + | 1.34828e9i | 1.88098 | + | 0.859013i | ||||
\(425\) | 8.68009e7 | − | 2.54871e7i | 0.0548483 | − | 0.0161049i | ||||
\(426\) | −4.96527e9 | + | 2.56339e9i | −3.11178 | + | 1.60650i | ||||
\(427\) | 1.49725e8 | − | 3.27852e8i | 0.0930673 | − | 0.203789i | ||||
\(428\) | −1.27034e8 | − | 8.83538e8i | −0.0783187 | − | 0.544719i | ||||
\(429\) | 9.15852e8 | + | 7.19382e8i | 0.560048 | + | 0.439905i | ||||
\(430\) | 1.66372e9 | + | 3.64303e9i | 1.00911 | + | 2.20965i | ||||
\(431\) | −1.13879e9 | + | 7.31858e8i | −0.685132 | + | 0.440308i | −0.836352 | − | 0.548193i | \(-0.815316\pi\) |
0.151220 | + | 0.988500i | \(0.451680\pi\) | |||||||
\(432\) | 1.99098e9 | + | 4.33980e9i | 1.18816 | + | 2.58986i | ||||
\(433\) | −1.76475e9 | + | 2.74600e9i | −1.04466 | + | 1.62552i | −0.305247 | + | 0.952273i | \(0.598739\pi\) |
−0.739414 | + | 0.673251i | \(0.764897\pi\) | |||||||
\(434\) | −6.11717e7 | + | 7.05960e7i | −0.0359200 | + | 0.0414539i | ||||
\(435\) | 2.18782e8 | − | 2.30520e9i | 0.127438 | − | 1.34276i | ||||
\(436\) | − | 7.34142e9i | − | 4.24206i | ||||||
\(437\) | 2.44285e9 | − | 1.19474e9i | 1.40027 | − | 0.684839i | ||||
\(438\) | −5.13424e8 | − | 2.65568e9i | −0.291956 | − | 1.51014i | ||||
\(439\) | 1.31260e9 | + | 3.85414e8i | 0.740468 | + | 0.217421i | 0.630148 | − | 0.776475i | \(-0.282994\pi\) |
0.110320 | + | 0.993896i | \(0.464812\pi\) | |||||||
\(440\) | 2.71917e9 | + | 2.35617e9i | 1.52178 | + | 1.31863i | ||||
\(441\) | 1.74082e9 | + | 3.33440e8i | 0.966540 | + | 0.185132i | ||||
\(442\) | 2.23062e9 | + | 3.20715e8i | 1.22871 | + | 0.176661i | ||||
\(443\) | −9.02034e8 | − | 1.40359e9i | −0.492958 | − | 0.767058i | 0.502262 | − | 0.864716i | \(-0.332501\pi\) |
−0.995220 | + | 0.0976576i | \(0.968865\pi\) | |||||||
\(444\) | 4.07607e9 | − | 2.90609e9i | 2.21005 | − | 1.57568i | ||||
\(445\) | −2.33940e8 | − | 2.69981e8i | −0.125848 | − | 0.145236i | ||||
\(446\) | −4.76644e9 | + | 6.85311e8i | −2.54403 | + | 0.365776i | ||||
\(447\) | −7.60673e8 | + | 3.14343e9i | −0.402830 | + | 1.66467i | ||||
\(448\) | −1.22993e8 | − | 4.18876e8i | −0.0646260 | − | 0.220096i | ||||
\(449\) | 1.59205e8 | + | 5.42202e8i | 0.0830031 | + | 0.282683i | 0.990527 | − | 0.137318i | \(-0.0438481\pi\) |
−0.907524 | + | 0.420000i | \(0.862030\pi\) | |||||||
\(450\) | −3.31494e8 | − | 1.54088e7i | −0.171487 | − | 0.00797123i | ||||
\(451\) | 1.07535e9 | − | 1.54612e8i | 0.551990 | − | 0.0793642i | ||||
\(452\) | −1.36952e9 | − | 1.58051e9i | −0.697564 | − | 0.805032i | ||||
\(453\) | 1.93726e9 | + | 2.71719e9i | 0.979140 | + | 1.37334i | ||||
\(454\) | −1.23604e9 | − | 1.92331e9i | −0.619921 | − | 0.964616i | ||||
\(455\) | 2.77010e8 | + | 3.98280e7i | 0.137865 | + | 0.0198221i | ||||
\(456\) | 8.38927e9 | + | 3.35296e9i | 4.14331 | + | 1.65597i | ||||
\(457\) | 1.64245e8 | + | 1.42319e8i | 0.0804979 | + | 0.0697519i | 0.694180 | − | 0.719801i | \(-0.255767\pi\) |
−0.613682 | + | 0.789553i | \(0.710312\pi\) | |||||||
\(458\) | 1.61063e7 | + | 4.72923e6i | 0.00783368 | + | 0.00230018i | ||||
\(459\) | −1.08836e9 | + | 7.02100e8i | −0.525323 | + | 0.338887i | ||||
\(460\) | −5.24037e9 | + | 1.69061e9i | −2.51021 | + | 0.809823i | ||||
\(461\) | − | 1.63881e9i | − | 0.779066i | −0.921013 | − | 0.389533i | \(-0.872636\pi\) | ||
0.921013 | − | 0.389533i | \(-0.127364\pi\) | |||||||
\(462\) | 3.36233e8 | + | 3.19112e7i | 0.158633 | + | 0.0150555i | ||||
\(463\) | −2.61339e9 | + | 3.01602e9i | −1.22369 | + | 1.41221i | −0.342455 | + | 0.939534i | \(0.611259\pi\) |
−0.881234 | + | 0.472679i | \(0.843287\pi\) | |||||||
\(464\) | 4.27977e9 | − | 6.65945e9i | 1.98887 | − | 3.09475i | ||||
\(465\) | 2.52823e7 | + | 5.24394e8i | 0.0116609 | + | 0.241864i | ||||
\(466\) | −4.25354e9 | + | 2.73359e9i | −1.94715 | + | 1.25136i | ||||
\(467\) | 1.41246e9 | + | 3.09285e9i | 0.641751 | + | 1.40524i | 0.898592 | + | 0.438785i | \(0.144591\pi\) |
−0.256841 | + | 0.966454i | \(0.582682\pi\) | |||||||
\(468\) | −5.26619e9 | − | 2.70724e9i | −2.37485 | − | 1.22086i | ||||
\(469\) | −3.69836e7 | − | 2.57227e8i | −0.0165541 | − | 0.115136i | ||||
\(470\) | −2.18731e9 | + | 4.78954e9i | −0.971780 | + | 2.12790i | ||||
\(471\) | 1.05673e9 | + | 2.04688e9i | 0.466007 | + | 0.902652i | ||||
\(472\) | −7.08331e9 | + | 2.07985e9i | −3.10056 | + | 0.910405i | ||||
\(473\) | −1.74584e9 | − | 7.97300e8i | −0.758562 | − | 0.346424i | ||||
\(474\) | −1.80863e9 | − | 5.21599e9i | −0.780056 | − | 2.24964i | ||||
\(475\) | −2.51609e8 | + | 2.18021e8i | −0.107721 | + | 0.0933406i | ||||
\(476\) | 4.25826e8 | − | 1.94468e8i | 0.180971 | − | 0.0826465i | ||||
\(477\) | 9.91642e8 | − | 1.39596e9i | 0.418351 | − | 0.588924i | ||||
\(478\) | 8.91477e8 | − | 6.20036e9i | 0.373347 | − | 2.59668i | ||||
\(479\) | 6.00371e8 | + | 3.85835e8i | 0.249601 | + | 0.160409i | 0.659459 | − | 0.751741i | \(-0.270785\pi\) |
−0.409858 | + | 0.912149i | \(0.634422\pi\) | |||||||
\(480\) | −5.45380e9 | − | 3.14457e9i | −2.25089 | − | 1.29783i | ||||
\(481\) | −7.81864e8 | + | 2.66278e9i | −0.320349 | + | 1.09101i | ||||
\(482\) | 6.06131e9 | 2.46548 | ||||||||
\(483\) | −1.86253e8 | + | 2.50496e8i | −0.0752123 | + | 0.101155i | ||||
\(484\) | 3.44237e9 | 1.38006 | ||||||||
\(485\) | −8.39538e6 | + | 2.85920e7i | −0.00334152 | + | 0.0113802i | ||||
\(486\) | 4.61387e9 | − | 1.13337e9i | 1.82322 | − | 0.447863i | ||||
\(487\) | −3.43040e8 | − | 2.20459e8i | −0.134584 | − | 0.0864920i | 0.471616 | − | 0.881804i | \(-0.343671\pi\) |
−0.606200 | + | 0.795312i | \(0.707307\pi\) | |||||||
\(488\) | 1.85878e9 | − | 1.29281e10i | 0.724034 | − | 5.03577i | ||||
\(489\) | 1.84083e9 | − | 1.75725e9i | 0.711921 | − | 0.679597i | ||||
\(490\) | −4.57254e9 | + | 2.08821e9i | −1.75578 | + | 0.801839i | ||||
\(491\) | 2.58915e9 | − | 2.24351e9i | 0.987124 | − | 0.855348i | −0.00235917 | − | 0.999997i | \(-0.500751\pi\) |
0.989483 | + | 0.144650i | \(0.0462055\pi\) | |||||||
\(492\) | −5.21889e9 | + | 1.80964e9i | −1.97561 | + | 0.685037i | ||||
\(493\) | 1.95324e9 | + | 8.92016e8i | 0.734162 | + | 0.335281i | ||||
\(494\) | −7.95751e9 | + | 2.33653e9i | −2.96984 | + | 0.872023i | ||||
\(495\) | 1.49075e9 | − | 1.17512e9i | 0.552443 | − | 0.435476i | ||||
\(496\) | −7.45587e8 | + | 1.63261e9i | −0.274355 | + | 0.600753i | ||||
\(497\) | −9.15807e7 | − | 6.36958e8i | −0.0334624 | − | 0.232736i | ||||
\(498\) | 1.68759e9 | − | 2.14849e9i | 0.612300 | − | 0.779525i | ||||
\(499\) | 1.65566e9 | + | 3.62539e9i | 0.596512 | + | 1.30618i | 0.931426 | + | 0.363931i | \(0.118566\pi\) |
−0.334914 | + | 0.942249i | \(0.608707\pi\) | |||||||
\(500\) | −5.63488e9 | + | 3.62132e9i | −2.01600 | + | 1.29560i | ||||
\(501\) | 8.05924e8 | − | 3.88555e7i | 0.286327 | − | 0.0138045i | ||||
\(502\) | −1.43205e8 | + | 2.22831e8i | −0.0505237 | + | 0.0786164i | ||||
\(503\) | −3.05402e8 | + | 3.52453e8i | −0.107000 | + | 0.123485i | −0.806723 | − | 0.590929i | \(-0.798761\pi\) |
0.699723 | + | 0.714414i | \(0.253307\pi\) | |||||||
\(504\) | −1.03225e9 | + | 9.97661e7i | −0.359151 | + | 0.0347117i | ||||
\(505\) | − | 3.71329e9i | − | 1.28304i | ||||||
\(506\) | 1.90898e9 | − | 3.15079e9i | 0.655051 | − | 1.08117i | ||||
\(507\) | 3.41853e8 | − | 6.60907e7i | 0.116496 | − | 0.0225223i | ||||
\(508\) | −3.09884e9 | − | 9.09902e8i | −1.04876 | − | 0.307944i | ||||
\(509\) | 2.46004e9 | + | 2.13163e9i | 0.826855 | + | 0.716474i | 0.961614 | − | 0.274404i | \(-0.0884807\pi\) |
−0.134759 | + | 0.990878i | \(0.543026\pi\) | |||||||
\(510\) | 1.36321e9 | − | 3.41082e9i | 0.455059 | − | 1.13858i | ||||
\(511\) | 3.08322e8 | + | 4.43300e7i | 0.102219 | + | 0.0146969i | ||||
\(512\) | 1.75664e9 | + | 2.73339e9i | 0.578414 | + | 0.900029i | ||||
\(513\) | 2.57000e9 | − | 4.01421e9i | 0.840471 | − | 1.31277i | ||||
\(514\) | 6.25793e9 | + | 7.22203e9i | 2.03264 | + | 2.34579i | ||||
\(515\) | −2.97213e8 | + | 4.27328e7i | −0.0958833 | + | 0.0137859i | ||||
\(516\) | 9.48468e9 | + | 2.29518e9i | 3.03912 | + | 0.735433i | ||||
\(517\) | −7.10898e8 | − | 2.42110e9i | −0.226251 | − | 0.770540i | ||||
\(518\) | 2.26747e8 | + | 7.72229e8i | 0.0716782 | + | 0.244114i | ||||
\(519\) | −5.28398e9 | − | 1.27866e9i | −1.65911 | − | 0.401485i | ||||
\(520\) | 1.00383e10 | − | 1.44329e9i | 3.13076 | − | 0.450135i | ||||
\(521\) | −4.10754e8 | − | 4.74036e8i | −0.127248 | − | 0.146852i | 0.688550 | − | 0.725189i | \(-0.258247\pi\) |
−0.815798 | + | 0.578337i | \(0.803702\pi\) | |||||||
\(522\) | −5.70699e9 | − | 5.42908e9i | −1.75614 | − | 1.67063i | ||||
\(523\) | −8.28890e8 | − | 1.28978e9i | −0.253362 | − | 0.394238i | 0.691153 | − | 0.722709i | \(-0.257103\pi\) |
−0.944514 | + | 0.328470i | \(0.893467\pi\) | |||||||
\(524\) | 4.24757e8 | + | 6.10709e7i | 0.128968 | + | 0.0185428i | ||||
\(525\) | 1.41831e7 | − | 3.54869e7i | 0.00427774 | − | 0.0107031i | ||||
\(526\) | 1.68036e9 | + | 1.45604e9i | 0.503447 | + | 0.436239i | ||||
\(527\) | −4.67129e8 | − | 1.37162e8i | −0.139027 | − | 0.0408221i | ||||
\(528\) | 6.37138e9 | − | 1.23178e9i | 1.88371 | − | 0.364180i | ||||
\(529\) | 1.57633e9 | + | 3.01795e9i | 0.462968 | + | 0.886375i | ||||
\(530\) | 4.85623e9i | 1.41688i | ||||||||
\(531\) | 3.74683e8 | + | 3.87672e9i | 0.108601 | + | 1.12366i | ||||
\(532\) | −1.12819e9 | + | 1.30200e9i | −0.324856 | + | 0.374904i | ||||
\(533\) | 1.65557e9 | − | 2.57612e9i | 0.473589 | − | 0.736920i | ||||
\(534\) | −1.21380e9 | + | 5.85202e7i | −0.344947 | + | 0.0166307i | ||||
\(535\) | 6.78533e8 | − | 4.36067e8i | 0.191572 | − | 0.123116i | ||||
\(536\) | −3.91208e9 | − | 8.56626e9i | −1.09731 | − | 2.40278i | ||||
\(537\) | 2.56445e8 | − | 3.26483e8i | 0.0714636 | − | 0.0909810i | ||||
\(538\) | 4.70206e8 | + | 3.27035e9i | 0.130182 | + | 0.905434i | ||||
\(539\) | 1.00073e9 | − | 2.19129e9i | 0.275268 | − | 0.602752i | ||||
\(540\) | −6.30769e9 | + | 7.30489e9i | −1.72382 | + | 1.99635i | ||||
\(541\) | −1.06837e8 | + | 3.13702e7i | −0.0290089 | + | 0.00851778i | −0.296205 | − | 0.955124i | \(-0.595721\pi\) |
0.267196 | + | 0.963642i | \(0.413903\pi\) | |||||||
\(542\) | 7.44613e9 | + | 3.40054e9i | 2.00878 | + | 0.917381i | ||||
\(543\) | −3.23047e9 | + | 1.12016e9i | −0.865898 | + | 0.300248i | ||||
\(544\) | 4.41201e9 | − | 3.82303e9i | 1.17501 | − | 1.01815i | ||||
\(545\) | 6.03422e9 | − | 2.75574e9i | 1.59674 | − | 0.729206i | ||||
\(546\) | 6.88612e8 | − | 6.57347e8i | 0.181051 | − | 0.172830i | ||||
\(547\) | 5.66632e8 | − | 3.94101e9i | 0.148028 | − | 1.02956i | −0.771413 | − | 0.636335i | \(-0.780450\pi\) |
0.919442 | − | 0.393226i | \(-0.128641\pi\) | |||||||
\(548\) | 2.82303e9 | + | 1.81425e9i | 0.732797 | + | 0.470940i | ||||
\(549\) | −6.51436e9 | − | 2.24625e9i | −1.68023 | − | 0.579370i | ||||
\(550\) | −1.27068e8 | + | 4.32753e8i | −0.0325661 | + | 0.110910i | ||||
\(551\) | −7.90236e9 | −2.01246 | ||||||||
\(552\) | −3.91864e9 | + | 1.06114e10i | −0.991628 | + | 2.68525i | ||||
\(553\) | 6.35762e8 | 0.159866 | ||||||||
\(554\) | −1.25899e9 | + | 4.28773e9i | −0.314585 | + | 1.07138i | ||||
\(555\) | 3.91867e9 | + | 2.25944e9i | 0.973001 | + | 0.561016i | ||||
\(556\) | 6.07933e9 | + | 3.90695e9i | 1.50001 | + | 0.963998i | ||||
\(557\) | −5.00600e8 | + | 3.48175e9i | −0.122743 | + | 0.853697i | 0.831683 | + | 0.555251i | \(0.187378\pi\) |
−0.954426 | + | 0.298447i | \(0.903531\pi\) | |||||||
\(558\) | 1.45594e9 | + | 1.03425e9i | 0.354751 | + | 0.252003i | ||||
\(559\) | −4.92098e9 | + | 2.24733e9i | −1.19154 | + | 0.544160i | ||||
\(560\) | 1.17853e9 | − | 1.02120e9i | 0.283585 | − | 0.245728i | ||||
\(561\) | 5.76687e8 | + | 1.66313e9i | 0.137902 | + | 0.397701i | ||||
\(562\) | −9.38038e9 | − | 4.28387e9i | −2.22917 | − | 1.01803i | ||||
\(563\) | −7.26032e9 | + | 2.13182e9i | −1.71465 | + | 0.503468i | −0.983831 | − | 0.179099i | \(-0.942682\pi\) |
−0.730823 | + | 0.682567i | \(0.760864\pi\) | |||||||
\(564\) | 5.88539e9 | + | 1.14000e10i | 1.38133 | + | 2.67563i | ||||
\(565\) | 7.85014e8 | − | 1.71894e9i | 0.183108 | − | 0.400951i | ||||
\(566\) | 7.13158e8 | + | 4.96012e9i | 0.165321 | + | 1.14983i | ||||
\(567\) | −5.07549e7 | + | 5.44772e8i | −0.0116933 | + | 0.125509i | ||||
\(568\) | −9.68728e9 | − | 2.12122e10i | −2.21811 | − | 4.85698i | ||||
\(569\) | 4.49498e9 | − | 2.88875e9i | 1.02290 | − | 0.657381i | 0.0822030 | − | 0.996616i | \(-0.473804\pi\) |
0.940702 | + | 0.339235i | \(0.110168\pi\) | |||||||
\(570\) | 6.50968e8 | + | 1.35021e10i | 0.147230 | + | 3.05379i | ||||
\(571\) | 4.13725e9 | − | 6.43769e9i | 0.930006 | − | 1.44712i | 0.0358529 | − | 0.999357i | \(-0.488585\pi\) |
0.894153 | − | 0.447761i | \(-0.147778\pi\) | |||||||
\(572\) | −5.27013e9 | + | 6.08205e9i | −1.17743 | + | 1.35883i | ||||
\(573\) | 5.71418e9 | + | 5.42322e8i | 1.26886 | + | 0.120425i | ||||
\(574\) | − | 8.88073e8i | − | 0.196001i | ||||||
\(575\) | −2.81219e8 | − | 3.07697e8i | −0.0616890 | − | 0.0674971i | ||||
\(576\) | −7.74494e9 | + | 3.11095e9i | −1.68865 | + | 0.678288i | ||||
\(577\) | −1.07768e9 | − | 3.16435e8i | −0.233547 | − | 0.0685756i | 0.162865 | − | 0.986648i | \(-0.447927\pi\) |
−0.396412 | + | 0.918073i | \(0.629745\pi\) | |||||||
\(578\) | −4.01273e9 | − | 3.47705e9i | −0.864356 | − | 0.748969i | ||||
\(579\) | 3.31740e9 | + | 1.32587e9i | 0.710268 | + | 0.283875i | ||||
\(580\) | 1.58383e10 | + | 2.27720e9i | 3.37063 | + | 0.484623i | ||||
\(581\) | 1.70097e8 | + | 2.64676e8i | 0.0359816 | + | 0.0559885i | ||||
\(582\) | 5.88464e7 | + | 8.25377e7i | 0.0123734 | + | 0.0173549i | ||||
\(583\) | −1.52402e9 | − | 1.75881e9i | −0.318530 | − | 0.367603i | ||||
\(584\) | 1.11730e10 | − | 1.60644e9i | 2.32127 | − | 0.333748i | ||||
\(585\) | 2.48438e8 | − | 5.34472e9i | 0.0513065 | − | 1.10377i | ||||
\(586\) | −1.79270e9 | − | 6.10537e9i | −0.368015 | − | 1.25334i | ||||
\(587\) | −7.45705e8 | − | 2.53964e9i | −0.152172 | − | 0.518249i | 0.847755 | − | 0.530388i | \(-0.177954\pi\) |
−0.999926 | + | 0.0121396i | \(0.996136\pi\) | |||||||
\(588\) | −2.88079e9 | + | 1.19047e10i | −0.584374 | + | 2.41488i | ||||
\(589\) | 1.77345e9 | − | 2.54983e8i | 0.357614 | − | 0.0514172i | ||||
\(590\) | −7.23344e9 | − | 8.34783e9i | −1.44998 | − | 1.67337i | ||||
\(591\) | 2.36547e9 | − | 1.68649e9i | 0.471369 | − | 0.336069i | ||||
\(592\) | 8.36041e9 | + | 1.30090e10i | 1.65616 | + | 2.57703i | ||||
\(593\) | 2.76868e9 | + | 3.98076e8i | 0.545232 | + | 0.0783925i | 0.409427 | − | 0.912343i | \(-0.365729\pi\) |
0.135805 | + | 0.990736i | \(0.456638\pi\) | |||||||
\(594\) | −1.11423e7 | − | 6.45716e9i | −0.00218134 | − | 1.26412i | ||||
\(595\) | 3.19683e8 | + | 2.77007e8i | 0.0622172 | + | 0.0539116i | ||||
\(596\) | −2.14436e10 | − | 6.29641e9i | −4.14893 | − | 1.21823i | ||||
\(597\) | 1.29809e9 | + | 6.71434e9i | 0.249686 | + | 1.29150i | ||||
\(598\) | −3.18818e9 | − | 9.88241e9i | −0.609662 | − | 1.88977i | ||||
\(599\) | − | 6.98905e9i | − | 1.32869i | −0.747425 | − | 0.664346i | \(-0.768710\pi\) | ||
0.747425 | − | 0.664346i | \(-0.231290\pi\) | |||||||
\(600\) | 1.30849e8 | − | 1.37869e9i | 0.0247309 | − | 0.260578i | ||||
\(601\) | −4.09713e9 | + | 4.72834e9i | −0.769873 | + | 0.888481i | −0.996335 | − | 0.0855389i | \(-0.972739\pi\) |
0.226461 | + | 0.974020i | \(0.427284\pi\) | |||||||
\(602\) | −8.48213e8 | + | 1.31984e9i | −0.158459 | + | 0.246567i | ||||
\(603\) | −4.82697e9 | + | 1.17689e9i | −0.896529 | + | 0.218588i | ||||
\(604\) | −1.93994e10 | + | 1.24673e10i | −3.58228 | + | 2.30219i | ||||
\(605\) | 1.29216e9 | + | 2.82943e9i | 0.237231 | + | 0.519463i | ||||
\(606\) | −9.93351e9 | − | 7.80256e9i | −1.81321 | − | 1.42424i | ||||
\(607\) | 3.39888e8 | + | 2.36397e9i | 0.0616844 | + | 0.429024i | 0.997140 | + | 0.0755795i | \(0.0240807\pi\) |
−0.935455 | + | 0.353445i | \(0.885010\pi\) | |||||||
\(608\) | −8.92498e9 | + | 1.95430e10i | −1.61044 | + | 3.52637i | ||||
\(609\) | 8.06024e8 | − | 4.16121e8i | 0.144606 | − | 0.0746551i | ||||
\(610\) | 1.87509e10 | − | 5.50575e9i | 3.34477 | − | 0.982114i | ||||
\(611\) | −6.46967e9 | − | 2.95460e9i | −1.14746 | − | 0.524028i | ||||
\(612\) | −4.48390e9 | − | 7.74575e9i | −0.790726 | − | 1.36595i | ||||
\(613\) | −3.16068e9 | + | 2.73875e9i | −0.554204 | + | 0.480220i | −0.886355 | − | 0.463006i | \(-0.846771\pi\) |
0.332152 | + | 0.943226i | \(0.392225\pi\) | |||||||
\(614\) | 6.14126e9 | − | 2.80462e9i | 1.07070 | − | 0.488973i | ||||
\(615\) | −3.44643e9 | − | 3.61035e9i | −0.597456 | − | 0.625873i | ||||
\(616\) | −2.00589e8 | + | 1.39513e9i | −0.0345760 | + | 0.240481i | ||||
\(617\) | 1.50487e9 | + | 9.67119e8i | 0.257929 | + | 0.165761i | 0.663215 | − | 0.748429i | \(-0.269192\pi\) |
−0.405286 | + | 0.914190i | \(0.632828\pi\) | |||||||
\(618\) | −5.10204e8 | + | 8.84874e8i | −0.0869529 | + | 0.150807i | ||||
\(619\) | −1.21519e9 | + | 4.13855e9i | −0.205933 | + | 0.701344i | 0.790149 | + | 0.612914i | \(0.210003\pi\) |
−0.996082 | + | 0.0884295i | \(0.971815\pi\) | |||||||
\(620\) | −3.62791e9 | −0.611344 | ||||||||
\(621\) | 5.10947e9 | + | 3.08366e9i | 0.856161 | + | 0.516709i | ||||
\(622\) | −3.33970e9 | −0.556470 | ||||||||
\(623\) | 3.94268e7 | − | 1.34275e8i | 0.00653256 | − | 0.0222479i | ||||
\(624\) | 9.13661e9 | − | 1.58461e10i | 1.50535 | − | 2.61082i | ||||
\(625\) | −5.56118e9 | − | 3.57396e9i | −0.911144 | − | 0.585557i | ||||
\(626\) | −2.36405e8 | + | 1.64423e9i | −0.0385165 | + | 0.267888i | ||||
\(627\) | −4.47309e9 | − | 4.68585e9i | −0.724722 | − | 0.759192i | ||||
\(628\) | −1.44798e10 | + | 6.61269e9i | −2.33294 | + | 1.06542i | ||||
\(629\) | −3.17012e9 | + | 2.74693e9i | −0.507924 | + | 0.440118i | ||||
\(630\) | −7.77388e8 | − | 1.34291e9i | −0.123864 | − | 0.213970i | ||||
\(631\) | 4.64111e9 | + | 2.11952e9i | 0.735392 | + | 0.335842i | 0.747659 | − | 0.664083i | \(-0.231178\pi\) |
−0.0122674 | + | 0.999925i | \(0.503905\pi\) | |||||||
\(632\) | 2.21056e10 | − | 6.49079e9i | 3.48331 | − | 1.02279i | ||||
\(633\) | −6.80020e9 | + | 3.51070e9i | −1.06564 | + | 0.550149i | ||||
\(634\) | 4.39127e9 | − | 9.61554e9i | 0.684349 | − | 1.49852i | ||||
\(635\) | −4.15320e8 | − | 2.88862e9i | −0.0643688 | − | 0.447695i | ||||
\(636\) | 9.30530e9 | + | 7.30911e9i | 1.43427 | + | 1.12659i | ||||
\(637\) | −2.82073e9 | − | 6.17654e9i | −0.432388 | − | 0.946798i | ||||
\(638\) | −9.00603e9 | + | 5.78782e9i | −1.37297 | + | 0.882354i | ||||
\(639\) | −1.19528e10 | + | 2.91428e9i | −1.81224 | + | 0.441853i | ||||
\(640\) | 3.48156e9 | − | 5.41741e9i | 0.524981 | − | 0.816886i | ||||
\(641\) | 6.91436e9 | − | 7.97959e9i | 1.03693 | − | 1.19668i | 0.0567852 | − | 0.998386i | \(-0.481915\pi\) |
0.980143 | − | 0.198292i | \(-0.0635396\pi\) | |||||||
\(642\) | 2.59236e8 | − | 2.73144e9i | 0.0386654 | − | 0.407399i | ||||
\(643\) | 5.83422e7i | 0.00865454i | 0.999991 | + | 0.00432727i | \(0.00137742\pi\) | ||||
−0.999991 | + | 0.00432727i | \(0.998623\pi\) | |||||||
\(644\) | −1.66701e9 | − | 1.36893e9i | −0.245945 | − | 0.201967i | ||||
\(645\) | 1.67374e9 | + | 8.65739e9i | 0.245601 | + | 1.27036i | ||||
\(646\) | −1.20276e10 | − | 3.53164e9i | −1.75536 | − | 0.515421i | ||||
\(647\) | −1.24618e9 | − | 1.07982e9i | −0.180891 | − | 0.156743i | 0.559709 | − | 0.828689i | \(-0.310913\pi\) |
−0.740600 | + | 0.671947i | \(0.765458\pi\) | |||||||
\(648\) | 3.79707e9 | + | 1.94600e10i | 0.548196 | + | 2.80951i | ||||
\(649\) | 5.23956e9 | + | 7.53335e8i | 0.752382 | + | 0.108176i | ||||
\(650\) | 6.87312e8 | + | 1.06948e9i | 0.0981651 | + | 0.152748i | ||||
\(651\) | −1.67461e8 | + | 1.19394e8i | −0.0237892 | + | 0.0169609i | ||||
\(652\) | 1.15164e10 | + | 1.32906e10i | 1.62723 | + | 1.87793i | ||||
\(653\) | 7.00816e9 | − | 1.00762e9i | 0.984936 | − | 0.141612i | 0.369018 | − | 0.929422i | \(-0.379694\pi\) |
0.615918 | + | 0.787810i | \(0.288785\pi\) | |||||||
\(654\) | 5.30748e9 | − | 2.19328e10i | 0.741935 | − | 3.06599i | ||||
\(655\) | 1.09244e8 | + | 3.72050e8i | 0.0151898 | + | 0.0517317i | ||||
\(656\) | −4.80729e9 | − | 1.63721e10i | −0.664870 | − | 2.26434i | ||||
\(657\) | 2.76520e8 | − | 5.94886e9i | 0.0380407 | − | 0.818379i | ||||
\(658\) | −2.04166e9 | + | 2.93547e8i | −0.279379 | + | 0.0401686i | ||||
\(659\) | 8.20348e9 | + | 9.46732e9i | 1.11660 | + | 1.28863i | 0.953290 | + | 0.302055i | \(0.0976726\pi\) |
0.163313 | + | 0.986574i | \(0.447782\pi\) | |||||||
\(660\) | 7.61489e9 | + | 1.06806e10i | 1.03100 | + | 1.44608i | ||||
\(661\) | 4.60365e9 | + | 7.16343e9i | 0.620009 | + | 0.964752i | 0.999222 | + | 0.0394428i | \(0.0125583\pi\) |
−0.379213 | + | 0.925309i | \(0.623805\pi\) | |||||||
\(662\) | 1.00514e9 | + | 1.44517e8i | 0.134655 | + | 0.0193605i | ||||
\(663\) | 4.60731e9 | + | 1.84141e9i | 0.613974 | + | 0.245388i | ||||
\(664\) | 8.61653e9 | + | 7.46626e9i | 1.14220 | + | 0.989726i | ||||
\(665\) | −1.49366e9 | − | 4.38577e8i | −0.196958 | − | 0.0578322i | ||||
\(666\) | 1.42784e10 | − | 5.73527e9i | 1.87292 | − | 0.752305i | ||||
\(667\) | −2.61882e8 | − | 9.89082e9i | −0.0341716 | − | 1.29060i | ||||
\(668\) | 5.57562e9i | 0.723729i | ||||||||
\(669\) | −1.05548e10 | − | 1.00173e9i | −1.36288 | − | 0.129348i | ||||
\(670\) | 9.22732e9 | − | 1.06489e10i | 1.18526 | − | 1.36786i | ||||
\(671\) | −5.06326e9 | + | 7.87859e9i | −0.646996 | + | 1.00675i | ||||
\(672\) | −1.18762e8 | − | 2.46331e9i | −0.0150968 | − | 0.313132i | ||||
\(673\) | 9.52514e9 | − | 6.12143e9i | 1.20453 | − | 0.774106i | 0.224798 | − | 0.974405i | \(-0.427828\pi\) |
0.979735 | + | 0.200299i | \(0.0641915\pi\) | |||||||
\(674\) | 6.39014e9 | + | 1.39925e10i | 0.803898 | + | 1.76029i | ||||
\(675\) | −7.01397e8 | − | 2.04635e8i | −0.0877810 | − | 0.0256104i | ||||
\(676\) | 3.42415e8 | + | 2.38155e9i | 0.0426324 | + | 0.296515i | ||||
\(677\) | −6.13259e9 | + | 1.34285e10i | −0.759597 | + | 1.66329i | −0.0112879 | + | 0.999936i | \(0.503593\pi\) |
−0.748309 | + | 0.663350i | \(0.769134\pi\) | |||||||
\(678\) | −2.94887e9 | − | 5.71193e9i | −0.363372 | − | 0.703848i | ||||
\(679\) | −1.12007e7 | + | 3.28881e6i | −0.00137309 | + | 0.000403176i | ||||
\(680\) | 1.39436e10 | + | 6.36782e9i | 1.70056 | + | 0.776621i | ||||
\(681\) | −1.64908e9 | − | 4.75584e9i | −0.200090 | − | 0.577048i | ||||
\(682\) | 1.83438e9 | − | 1.58950e9i | 0.221434 | − | 0.191874i | ||||
\(683\) | −7.95553e8 | + | 3.63317e8i | −0.0955425 | + | 0.0436328i | −0.462613 | − | 0.886560i | \(-0.653088\pi\) |
0.367070 | + | 0.930193i | \(0.380361\pi\) | |||||||
\(684\) | 2.68519e10 | + | 1.90746e10i | 3.20833 | + | 2.27908i | ||||
\(685\) | −4.31534e8 | + | 3.00138e9i | −0.0512977 | + | 0.356783i | ||||
\(686\) | −3.33994e9 | − | 2.14645e9i | −0.395007 | − | 0.253855i | ||||
\(687\) | 3.20174e7 | + | 1.84607e7i | 0.00376737 | + | 0.00217220i | ||||
\(688\) | −8.49272e9 | + | 2.89236e10i | −0.994231 | + | 3.38604i | ||||
\(689\) | −6.55975e9 | −0.764047 | ||||||||
\(690\) | −1.68780e10 | + | 1.26223e9i | −1.95591 | + | 0.146273i | ||||
\(691\) | −1.03850e10 | −1.19739 | −0.598694 | − | 0.800978i | \(-0.704313\pi\) | ||||
−0.598694 | + | 0.800978i | \(0.704313\pi\) | |||||||
\(692\) | 1.05840e10 | − | 3.60458e10i | 1.21417 | − | 4.13508i | ||||
\(693\) | 7.02993e8 | + | 2.42403e8i | 0.0802388 | + | 0.0276676i | ||||
\(694\) | −7.06290e9 | − | 4.53905e9i | −0.802093 | − | 0.515474i | ||||
\(695\) | −9.29298e8 | + | 6.46341e9i | −0.105005 | + | 0.730322i | ||||
\(696\) | 2.37773e10 | − | 2.26977e10i | 2.67319 | − | 2.55182i | ||||
\(697\) | 4.21025e9 | − | 1.92276e9i | 0.470970 | − | 0.215085i | ||||
\(698\) | −8.38771e9 | + | 7.26799e9i | −0.933575 | + | 0.808948i | ||||
\(699\) | −1.05179e10 | + | 3.64705e9i | −1.16482 | + | 0.403898i | ||||
\(700\) | 2.40220e8 | + | 1.09705e8i | 0.0264707 | + | 0.0120888i | ||||
\(701\) | 1.22550e10 | − | 3.59838e9i | 1.34369 | − | 0.394543i | 0.470706 | − | 0.882290i | \(-0.343999\pi\) |
0.872985 | + | 0.487747i | \(0.162181\pi\) | |||||||
\(702\) | −1.37757e10 | − | 1.18952e10i | −1.50292 | − | 1.29775i | ||||
\(703\) | 6.41278e9 | − | 1.40420e10i | 0.696150 | − | 1.52436i | ||||
\(704\) | 1.61437e9 | + | 1.12282e10i | 0.174381 | + | 1.21285i | ||||
\(705\) | −7.16092e9 | + | 9.11664e9i | −0.769674 | + | 0.979880i | ||||
\(706\) | 3.94263e9 | + | 8.63316e9i | 0.421667 | + | 0.923323i | ||||
\(707\) | 1.22373e9 | − | 7.86442e8i | 0.130232 | − | 0.0836949i | ||||
\(708\) | −2.68828e10 | + | 1.29608e9i | −2.84681 | + | 0.137251i | ||||
\(709\) | −4.36619e9 | + | 6.79393e9i | −0.460088 | + | 0.715911i | −0.991343 | − | 0.131301i | \(-0.958085\pi\) |
0.531254 | + | 0.847212i | \(0.321721\pi\) | |||||||
\(710\) | 2.28491e10 | − | 2.63693e10i | 2.39588 | − | 2.76500i | ||||
\(711\) | −1.16931e9 | − | 1.20985e10i | −0.122007 | − | 1.26237i | ||||
\(712\) | − | 5.07132e9i | − | 0.526551i | ||||||
\(713\) | 3.77916e8 | + | 2.21125e9i | 0.0390465 | + | 0.228467i | ||||
\(714\) | 1.41276e9 | − | 2.73131e8i | 0.145253 | − | 0.0280819i | ||||
\(715\) | −6.97734e9 | − | 2.04873e9i | −0.713869 | − | 0.209611i | ||||
\(716\) | 2.16813e9 | + | 1.87870e9i | 0.220744 | + | 0.191276i | ||||
\(717\) | 5.11850e9 | − | 1.28067e10i | 0.518591 | − | 1.29754i | ||||
\(718\) | 2.39893e10 | + | 3.44914e9i | 2.41870 | + | 0.347756i | ||||
\(719\) | −2.01352e9 | − | 3.13310e9i | −0.202025 | − | 0.314357i | 0.725427 | − | 0.688299i | \(-0.241642\pi\) |
−0.927452 | + | 0.373942i | \(0.878006\pi\) | |||||||
\(720\) | −2.16009e10 | − | 2.05491e10i | −2.15680 | − | 2.05177i | ||||
\(721\) | −7.70299e7 | − | 8.88972e7i | −0.00765396 | − | 0.00883314i | ||||
\(722\) | 2.68697e10 | − | 3.86328e9i | 2.65694 | − | 0.382011i | ||||
\(723\) | 1.29708e10 | + | 3.13879e9i | 1.27639 | + | 0.308872i | ||||
\(724\) | −6.65660e9 | − | 2.26703e10i | −0.651880 | − | 2.22010i | ||||
\(725\) | 3.41274e8 | + | 1.16227e9i | 0.0332599 | + | 0.113273i | ||||
\(726\) | 1.02842e10 | + | 2.48866e9i | 0.997454 | + | 0.241372i | ||||
\(727\) | 5.00191e9 | − | 7.19166e8i | 0.482798 | − | 0.0694159i | 0.103381 | − | 0.994642i | \(-0.467034\pi\) |
0.379417 | + | 0.925226i | \(0.376125\pi\) | |||||||
\(728\) | 2.60167e9 | + | 3.00249e9i | 0.249915 | + | 0.288417i | ||||
\(729\) | 1.04603e10 | − | 3.61001e7i | 0.999994 | − | 0.00345114i | ||||
\(730\) | 9.13110e9 | + | 1.42083e10i | 0.868747 | + | 1.35180i | ||||
\(731\) | −8.09368e9 | − | 1.16370e9i | −0.766364 | − | 0.110187i | ||||
\(732\) | 1.76720e10 | − | 4.42163e10i | 1.66532 | − | 4.16671i | ||||
\(733\) | 9.89719e9 | + | 8.57597e9i | 0.928214 | + | 0.804302i | 0.980941 | − | 0.194307i | \(-0.0622458\pi\) |
−0.0527267 | + | 0.998609i | \(0.516791\pi\) | |||||||
\(734\) | 1.55425e10 | + | 4.56369e9i | 1.45072 | + | 0.425971i | ||||
\(735\) | −1.08663e10 | + | 2.10079e9i | −1.00943 | + | 0.195154i | ||||
\(736\) | −2.47563e10 | − | 1.05231e10i | −2.28883 | − | 0.972908i | ||||
\(737\) | 6.75257e9i | 0.621345i | ||||||||
\(738\) | −1.68999e10 | + | 1.63337e9i | −1.54770 | + | 0.149585i | ||||
\(739\) | −4.42636e9 | + | 5.10829e9i | −0.403451 | + | 0.465608i | −0.920725 | − | 0.390213i | \(-0.872402\pi\) |
0.517274 | + | 0.855820i | \(0.326947\pi\) | |||||||
\(740\) | −1.68993e10 | + | 2.62958e10i | −1.53305 | + | 2.38548i | ||||
\(741\) | −1.82385e10 | + | 8.79322e8i | −1.64674 | + | 0.0793934i | ||||
\(742\) | −1.60039e9 | + | 1.02851e9i | −0.143817 | + | 0.0924258i | ||||
\(743\) | −2.30637e9 | − | 5.05025e9i | −0.206286 | − | 0.451702i | 0.778005 | − | 0.628258i | \(-0.216232\pi\) |
−0.984291 | + | 0.176556i | \(0.943504\pi\) | |||||||
\(744\) | −4.60372e9 | + | 5.86104e9i | −0.409830 | + | 0.521758i | ||||
\(745\) | −2.87397e9 | − | 1.99889e10i | −0.254645 | − | 1.77109i | ||||
\(746\) | 1.35592e10 | − | 2.96904e10i | 1.19577 | − | 2.61836i | ||||
\(747\) | 4.72391e9 | − | 3.72373e9i | 0.414648 | − | 0.326856i | ||||
\(748\) | −1.16713e10 | + | 3.42699e9i | −1.01968 | + | 0.299404i | ||||
\(749\) | 2.87414e8 | + | 1.31258e8i | 0.0249932 | + | 0.0114140i | ||||
\(750\) | −1.94525e10 | + | 6.74509e9i | −1.68368 | + | 0.583813i | ||||
\(751\) | −2.30511e9 | + | 1.99739e9i | −0.198587 | + | 0.172077i | −0.748478 | − | 0.663160i | \(-0.769215\pi\) |
0.549891 | + | 0.835237i | \(0.314669\pi\) | |||||||
\(752\) | −3.60501e10 | + | 1.64635e10i | −3.09132 | + | 1.41176i | ||||
\(753\) | −4.21841e8 | + | 4.02688e8i | −0.0360053 | + | 0.0343705i | ||||
\(754\) | −4.29440e9 | + | 2.98682e10i | −0.364841 | + | 2.53752i | ||||
\(755\) | −1.75293e10 | − | 1.12654e10i | −1.48235 | − | 0.952648i | ||||
\(756\) | −3.74326e9 | − | 5.31609e8i | −0.315082 | − | 0.0447472i | ||||
\(757\) | −5.58578e8 | + | 1.90234e9i | −0.0468002 | + | 0.159387i | −0.979578 | − | 0.201066i | \(-0.935560\pi\) |
0.932778 | + | 0.360453i | \(0.117378\pi\) | |||||||
\(758\) | 4.34258e9 | 0.362164 | ||||||||
\(759\) | 5.71670e9 | − | 5.75394e9i | 0.474569 | − | 0.477660i | ||||
\(760\) | −5.64124e10 | −4.66152 | ||||||||
\(761\) | −5.06188e9 | + | 1.72392e10i | −0.416356 | + | 1.41798i | 0.438320 | + | 0.898819i | \(0.355574\pi\) |
−0.854677 | + | 0.519161i | \(0.826245\pi\) | |||||||
\(762\) | −8.60009e9 | − | 4.95867e9i | −0.704143 | − | 0.405997i | ||||
\(763\) | 2.18616e9 | + | 1.40496e9i | 0.178174 | + | 0.114506i | ||||
\(764\) | −5.64478e9 | + | 3.92603e10i | −0.457952 | + | 3.18513i | ||||
\(765\) | 4.68344e9 | − | 6.59302e9i | 0.378225 | − | 0.532438i | ||||
\(766\) | 4.57305e9 | − | 2.08844e9i | 0.367625 | − | 0.167889i | ||||
\(767\) | 1.12762e10 | − | 9.77087e9i | 0.902357 | − | 0.781897i | ||||
\(768\) | 3.07557e8 | + | 8.86976e8i | 0.0244997 | + | 0.0706557i | ||||
\(769\) | −6.60094e9 | − | 3.01455e9i | −0.523436 | − | 0.239045i | 0.136131 | − | 0.990691i | \(-0.456533\pi\) |
−0.659567 | + | 0.751646i | \(0.729260\pi\) | |||||||
\(770\) | −2.02349e9 | + | 5.94149e8i | −0.159729 | + | 0.0469005i | ||||
\(771\) | 9.65171e9 | + | 1.86953e10i | 0.758427 | + | 1.46907i | ||||
\(772\) | −1.02554e10 | + | 2.24563e10i | −0.802221 | + | 1.75662i | ||||
\(773\) | 2.45790e9 | + | 1.70951e10i | 0.191397 | + | 1.33120i | 0.828314 | + | 0.560265i | \(0.189301\pi\) |
−0.636916 | + | 0.770933i | \(0.719790\pi\) | |||||||
\(774\) | 2.66765e10 | + | 1.37139e10i | 2.06793 | + | 1.06308i | ||||
\(775\) | −1.14092e8 | − | 2.49826e8i | −0.00880436 | − | 0.0192789i | ||||
\(776\) | −3.55873e8 | + | 2.28706e8i | −0.0273388 | + | 0.0175696i | ||||
\(777\) | 8.53330e7 | + | 1.76994e9i | 0.00652595 | + | 0.135358i | ||||
\(778\) | 6.66297e9 | − | 1.03678e10i | 0.507270 | − | 0.789328i | ||||
\(779\) | −1.11547e10 | + | 1.28732e10i | −0.845428 | + | 0.975676i | ||||
\(780\) | 3.68079e10 | + | 3.49337e9i | 2.77722 | + | 0.263580i | ||||
\(781\) | 1.67210e10i | 1.25599i | ||||||||
\(782\) | 4.02171e9 | − | 1.51712e10i | 0.300737 | − | 1.13448i | ||||
\(783\) | −9.40120e9 | − | 1.45732e10i | −0.699869 | − | 1.08490i | ||||
\(784\) | −3.63033e10 | − | 1.06596e10i | −2.69054 | − | 0.790015i | ||||
\(785\) | −1.08705e10 | − | 9.41934e9i | −0.802058 | − | 0.694987i | ||||
\(786\) | 1.22483e9 | + | 4.89530e8i | 0.0899696 | + | 0.0359584i | ||||
\(787\) | 1.93726e10 | + | 2.78536e9i | 1.41670 | + | 0.203690i | 0.807752 | − | 0.589523i | \(-0.200684\pi\) |
0.608944 | + | 0.793213i | \(0.291593\pi\) | |||||||
\(788\) | 1.08534e10 | + | 1.68883e10i | 0.790179 | + | 1.22954i | ||||
\(789\) | 2.84188e9 | + | 3.98600e9i | 0.205985 | + | 0.288914i | ||||
\(790\) | 2.25741e10 | + | 2.60519e10i | 1.62898 | + | 1.87994i | ||||
\(791\) | 7.32742e8 | − | 1.05352e8i | 0.0526421 | − | 0.00756879i | ||||
\(792\) | 2.69180e10 | + | 1.25123e9i | 1.92533 | + | 0.0894950i | ||||
\(793\) | 7.43712e9 | + | 2.53285e10i | 0.529601 | + | 1.80366i | ||||
\(794\) | −6.56024e9 | − | 2.23421e10i | −0.465102 | − | 1.58399i | ||||
\(795\) | −2.51475e9 | + | 1.03920e10i | −0.177505 | + | 0.733526i | ||||
\(796\) | −4.67761e10 | + | 6.72538e9i | −3.28721 | + | 0.472630i | ||||
\(797\) | −9.81309e9 | − | 1.13249e10i | −0.686596 | − | 0.792374i | 0.300280 | − | 0.953851i | \(-0.402920\pi\) |
−0.986877 | + | 0.161477i | \(0.948374\pi\) | |||||||
\(798\) | −4.31179e9 | + | 3.07415e9i | −0.300364 | + | 0.214148i | ||||
\(799\) | −5.81205e9 | − | 9.04372e9i | −0.403102 | − | 0.627240i | ||||
\(800\) | 3.25980e9 | + | 4.68689e8i | 0.225101 | + | 0.0323646i | ||||
\(801\) | −2.62776e9 | − | 5.03325e8i | −0.180664 | − | 0.0346046i | ||||
\(802\) | 4.67806e9 | + | 4.05356e9i | 0.320225 | + | 0.277476i | ||||
\(803\) | −7.76602e9 | − | 2.28031e9i | −0.529290 | − | 0.155414i | ||||
\(804\) | −6.51692e9 | − | 3.37086e10i | −0.442228 | − | 2.28742i | ||||
\(805\) | 4.99436e8 | − | 1.88404e9i | 0.0337438 | − | 0.127293i | ||||
\(806\) | − | 6.84160e9i | − | 0.460241i | ||||||
\(807\) | −6.87309e8 | + | 7.24184e9i | −0.0460357 | + | 0.485056i | ||||
\(808\) | 3.45202e10 | − | 3.98384e10i | 2.30215 | − | 2.65682i | ||||
\(809\) | −2.31596e9 | + | 3.60370e9i | −0.153784 | + | 0.239292i | −0.909594 | − | 0.415499i | \(-0.863607\pi\) |
0.755810 | + | 0.654791i | \(0.227243\pi\) | |||||||
\(810\) | −2.41255e10 | + | 1.72635e10i | −1.59507 | + | 1.14138i | ||||
\(811\) | 7.69115e9 | − | 4.94280e9i | 0.506312 | − | 0.325387i | −0.262424 | − | 0.964953i | \(-0.584522\pi\) |
0.768737 | + | 0.639565i | \(0.220886\pi\) | |||||||
\(812\) | 2.60395e9 | + | 5.70186e9i | 0.170682 | + | 0.373741i | ||||
\(813\) | 1.41733e10 | + | 1.11328e10i | 0.925028 | + | 0.726589i | ||||
\(814\) | −2.97621e9 | − | 2.07000e10i | −0.193410 | − | 1.34520i | ||||
\(815\) | −6.60123e9 | + | 1.44547e10i | −0.427143 | + | 0.935312i | ||||
\(816\) | 2.45665e10 | − | 1.26828e10i | 1.58281 | − | 0.817148i | ||||
\(817\) | 2.88734e10 | − | 8.47799e9i | 1.85234 | − | 0.543896i | ||||
\(818\) | −2.05755e9 | − | 9.39651e8i | −0.131436 | − | 0.0600247i | ||||
\(819\) | 1.81399e9 | − | 1.05009e9i | 0.115383 | − | 0.0667933i | ||||
\(820\) | 2.60664e10 | − | 2.25867e10i | 1.65095 | − | 1.43055i | ||||
\(821\) | 3.47427e9 | − | 1.58664e9i | 0.219110 | − | 0.100064i | −0.302836 | − | 0.953043i | \(-0.597933\pi\) |
0.521946 | + | 0.852978i | \(0.325206\pi\) | |||||||
\(822\) | 7.12230e9 | + | 7.46106e9i | 0.447269 | + | 0.468543i | ||||
\(823\) | −9.17714e7 | + | 6.38284e8i | −0.00573863 | + | 0.0399130i | −0.992490 | − | 0.122329i | \(-0.960964\pi\) |
0.986751 | + | 0.162242i | \(0.0518727\pi\) | |||||||
\(824\) | −3.58594e9 | − | 2.30455e9i | −0.223284 | − | 0.143496i | ||||
\(825\) | −4.96014e8 | + | 8.60264e8i | −0.0307543 | + | 0.0533388i | ||||
\(826\) | 1.21908e9 | − | 4.15180e9i | 0.0752665 | − | 0.256334i | ||||
\(827\) | −1.87005e8 | −0.0114970 | −0.00574848 | − | 0.999983i | \(-0.501830\pi\) | ||||
−0.00574848 | + | 0.999983i | \(0.501830\pi\) | |||||||
\(828\) | −2.29845e10 | + | 3.42407e10i | −1.40711 | + | 2.09622i | ||||
\(829\) | 2.39168e10 | 1.45802 | 0.729008 | − | 0.684505i | \(-0.239982\pi\) | ||||
0.729008 | + | 0.684505i | \(0.239982\pi\) | |||||||
\(830\) | −4.80610e9 | + | 1.63681e10i | −0.291756 | + | 0.993628i | ||||
\(831\) | −4.91452e9 | + | 8.52351e9i | −0.297083 | + | 0.515246i | ||||
\(832\) | 2.68984e10 | + | 1.72865e10i | 1.61918 | + | 1.04058i | ||||
\(833\) | 1.46061e9 | − | 1.01588e10i | 0.0875541 | − | 0.608952i | ||||
\(834\) | 1.53377e10 | + | 1.60672e10i | 0.915544 | + | 0.959090i | ||||
\(835\) | −4.58284e9 | + | 2.09291e9i | −0.272416 | + | 0.124408i | ||||
\(836\) | 3.38314e10 | − | 2.93151e10i | 2.00262 | − | 1.73528i | ||||
\(837\) | 2.58005e9 | + | 2.96717e9i | 0.152086 | + | 0.174906i | ||||
\(838\) | 1.33438e10 | + | 6.09391e9i | 0.783295 | + | 0.357719i | ||||
\(839\) | 9.91840e9 | − | 2.91231e9i | 0.579796 | − | 0.170243i | 0.0213321 | − | 0.999772i | \(-0.493209\pi\) |
0.558463 | + | 0.829529i | \(0.311391\pi\) | |||||||
\(840\) | 5.75395e9 | − | 2.97056e9i | 0.334956 | − | 0.172926i | ||||
\(841\) | −4.77833e9 | + | 1.04631e10i | −0.277006 | + | 0.606560i | ||||
\(842\) | −6.75810e8 | − | 4.70036e9i | −0.0390151 | − | 0.271356i | ||||
\(843\) | −1.78551e10 | − | 1.40248e10i | −1.02651 | − | 0.806304i | ||||
\(844\) | −2.19688e10 | − | 4.81050e10i | −1.25779 | − | 2.75417i | ||||
\(845\) | −1.82896e9 | + | 1.17540e9i | −0.104281 | + | 0.0670176i | ||||
\(846\) | 9.34123e9 | + | 3.83127e10i | 0.530405 | + | 2.17543i | ||||
\(847\) | −6.58780e8 | + | 1.02508e9i | −0.0372519 | + | 0.0579651i | ||||
\(848\) | −2.39365e10 | + | 2.76242e10i | −1.34796 | + | 1.55562i | ||||
\(849\) | −1.04244e9 | + | 1.09836e10i | −0.0584618 | + | 0.615984i | ||||
\(850\) | 1.92154e9i | 0.107320i | ||||||||
\(851\) | 1.77879e10 | + | 7.56107e9i | 0.989400 | + | 0.420562i | ||||
\(852\) | −1.61375e10 | − | 8.34710e10i | −0.893918 | − | 4.62378i | ||||
\(853\) | −1.51363e10 | − | 4.44443e9i | −0.835024 | − | 0.245185i | −0.163850 | − | 0.986485i | \(-0.552391\pi\) |
−0.671174 | + | 0.741300i | \(0.734210\pi\) | |||||||
\(854\) | 5.78570e9 | + | 5.01334e9i | 0.317873 | + | 0.275438i | ||||
\(855\) | −5.59889e9 | + | 2.92307e10i | −0.306352 | + | 1.59940i | ||||
\(856\) | 1.13335e10 | + | 1.62952e9i | 0.617600 | + | 0.0887975i | ||||
\(857\) | 2.25473e9 | + | 3.50843e9i | 0.122366 | + | 0.190406i | 0.897032 | − | 0.441965i | \(-0.145718\pi\) |
−0.774666 | + | 0.632371i | \(0.782082\pi\) | |||||||
\(858\) | −2.01417e10 | + | 1.43603e10i | −1.08866 | + | 0.776174i | ||||
\(859\) | −1.16013e10 | − | 1.33886e10i | −0.624499 | − | 0.720710i | 0.352056 | − | 0.935979i | \(-0.385483\pi\) |
−0.976555 | + | 0.215269i | \(0.930937\pi\) | |||||||
\(860\) | −6.03125e10 | + | 8.67163e9i | −3.23343 | + | 0.464896i | ||||
\(861\) | 4.59880e8 | − | 1.90042e9i | 0.0245546 | − | 0.101470i | ||||
\(862\) | −8.10067e9 | − | 2.75883e10i | −0.430770 | − | 1.46707i | ||||
\(863\) | −5.39180e9 | − | 1.83628e10i | −0.285559 | − | 0.972525i | −0.969929 | − | 0.243390i | \(-0.921741\pi\) |
0.684369 | − | 0.729135i | \(-0.260078\pi\) | |||||||
\(864\) | −4.66581e10 | + | 6.79062e9i | −2.46110 | + | 0.358188i | ||||
\(865\) | 3.36005e10 | − | 4.83102e9i | 1.76518 | − | 0.253795i | ||||
\(866\) | −4.54035e10 | − | 5.23984e10i | −2.37562 | − | 2.74161i | ||||
\(867\) | −6.78644e9 | − | 9.51862e9i | −0.353651 | − | 0.496029i | ||||
\(868\) | −7.68359e8 | − | 1.19559e9i | −0.0398791 | − | 0.0620531i | ||||
\(869\) | −1.63516e10 | − | 2.35101e9i | −0.845262 | − | 0.121530i | ||||
\(870\) | 4.56712e10 | + | 1.82535e10i | 2.35139 | + | 0.939787i | ||||
\(871\) | 1.43844e10 | + | 1.24642e10i | 0.737615 | + | 0.639147i | ||||
\(872\) | 9.03571e10 | + | 2.65312e10i | 4.61482 | + | 1.35503i | ||||
\(873\) | 8.31863e7 | + | 2.07098e8i | 0.00423157 | + | 0.0105348i | ||||
\(874\) | 9.73059e9 | + | 5.69353e10i | 0.493002 | + | 2.88464i | ||||
\(875\) | − | 2.37100e9i | − | 0.119648i | ||||||
\(876\) | 4.09685e10 | + | 3.88824e9i | 2.05914 | + | 0.195429i | ||||
\(877\) | −6.11577e9 | + | 7.05797e9i | −0.306163 | + | 0.353331i | −0.887892 | − | 0.460052i | \(-0.847831\pi\) |
0.581729 | + | 0.813382i | \(0.302376\pi\) | |||||||
\(878\) | −1.57096e10 | + | 2.44446e10i | −0.783311 | + | 1.21886i | ||||
\(879\) | −6.74657e8 | − | 1.39934e10i | −0.0335060 | − | 0.694966i | ||||
\(880\) | −3.40878e10 | + | 2.19069e10i | −1.68620 | + | 1.08366i | ||||
\(881\) | −2.67021e9 | − | 5.84694e9i | −0.131562 | − | 0.288080i | 0.832374 | − | 0.554214i | \(-0.186981\pi\) |
−0.963936 | + | 0.266134i | \(0.914254\pi\) | |||||||
\(882\) | −1.72129e10 | + | 3.34829e10i | −0.844724 | + | 1.64317i | ||||
\(883\) | 1.65702e9 | + | 1.15248e10i | 0.0809961 | + | 0.563340i | 0.989397 | + | 0.145239i | \(0.0463952\pi\) |
−0.908400 | + | 0.418101i | \(0.862696\pi\) | |||||||
\(884\) | −1.42431e10 | + | 3.11880e10i | −0.693460 | + | 1.51847i | ||||
\(885\) | −1.11563e10 | − | 2.16096e10i | −0.541025 | − | 1.04796i | ||||
\(886\) | 3.40034e10 | − | 9.98429e9i | 1.64249 | − | 0.482280i | ||||
\(887\) | 2.26648e10 | + | 1.03507e10i | 1.09048 | + | 0.498007i | 0.877757 | − | 0.479106i | \(-0.159039\pi\) |
0.212725 | + | 0.977112i | \(0.431766\pi\) | |||||||
\(888\) | 2.10372e10 | + | 6.06701e10i | 1.00819 | + | 2.90756i | ||||
\(889\) | 8.63992e8 | − | 7.48654e8i | 0.0412433 | − | 0.0357375i | ||||
\(890\) | 6.90220e9 | − | 3.15213e9i | 0.328188 | − | 0.149878i | ||||
\(891\) | 3.31993e9 | − | 1.38237e10i | 0.157238 | − | 0.654715i | ||||
\(892\) | 1.04266e10 | − | 7.25183e10i | 0.491885 | − | 3.42114i | ||||
\(893\) | 3.32823e10 | + | 2.13892e10i | 1.56399 | + | 1.00511i | ||||
\(894\) | −5.95116e10 | − | 3.43134e10i | −2.78561 | − | 1.60614i | ||||
\(895\) | −7.30331e8 | + | 2.48728e9i | −0.0340517 | + | 0.115970i | ||||
\(896\) | 2.52269e9 | 0.117162 | ||||||||
\(897\) | −1.70500e9 | − | 2.27987e10i | −0.0788773 | − | 1.05472i | ||||
\(898\) | −1.20029e10 | −0.553119 | ||||||||
\(899\) | 1.83661e9 | − | 6.25491e9i | 0.0843058 | − | 0.287119i | ||||
\(900\) | 1.64585e9 | − | 4.77312e9i | 0.0752559 | − | 0.218250i | ||||
\(901\) | −8.34100e9 | − | 5.36044e9i | −0.379911 | − | 0.244154i | ||||
\(902\) | −3.28404e9 | + | 2.28410e10i | −0.149000 | + | 1.03632i | ||||
\(903\) | −2.49859e9 | + | 2.38515e9i | −0.112924 | + | 0.107797i | ||||
\(904\) | 2.44020e10 | − | 1.11440e10i | 1.09859 | − | 0.501710i | ||||
\(905\) | 1.61350e10 | − | 1.39811e10i | 0.723601 | − | 0.627004i | ||||
\(906\) | −6.69698e10 | + | 2.32216e10i | −2.99178 | + | 1.03739i | ||||
\(907\) | −2.44748e10 | − | 1.11773e10i | −1.08917 | − | 0.497406i | −0.211842 | − | 0.977304i | \(-0.567946\pi\) |
−0.877324 | + | 0.479898i | \(0.840674\pi\) | |||||||
\(908\) | 3.33748e10 | − | 9.79972e9i | 1.47951 | − | 0.434423i | ||||
\(909\) | −1.72166e10 | − | 2.18410e10i | −0.760281 | − | 0.964490i | ||||
\(910\) | −2.46937e9 | + | 5.40717e9i | −0.108628 | + | 0.237862i | ||||
\(911\) | 4.89669e9 | + | 3.40572e10i | 0.214579 | + | 1.49243i | 0.757603 | + | 0.652716i | \(0.226370\pi\) |
−0.543023 | + | 0.839718i | \(0.682721\pi\) | |||||||
\(912\) | −6.28493e10 | + | 8.00141e10i | −2.74359 | + | 3.49289i | ||||
\(913\) | −3.39610e9 | − | 7.43641e9i | −0.147684 | − | 0.323382i | ||||
\(914\) | −3.88335e9 | + | 2.49568e9i | −0.168227 | + | 0.108113i | ||||
\(915\) | 4.29768e10 | − | 2.07201e9i | 1.85464 | − | 0.0894167i | ||||
\(916\) | −1.38075e8 | + | 2.14849e8i | −0.00593583 | + | 0.00923633i | ||||
\(917\) | −9.94735e7 | + | 1.14798e8i | −0.00426005 | + | 0.00491636i | ||||
\(918\) | −7.79603e9 | − | 2.63824e10i | −0.332602 | − | 1.12555i | ||||
\(919\) | − | 3.01582e10i | − | 1.28175i | −0.767647 | − | 0.640873i | \(-0.778573\pi\) | ||
0.767647 | − | 0.640873i | \(-0.221427\pi\) | |||||||
\(920\) | −1.86949e9 | − | 7.06074e10i | −0.0791528 | − | 2.98946i | ||||
\(921\) | 1.45942e10 | − | 2.82152e9i | 0.615564 | − | 0.119007i | ||||
\(922\) | 3.33991e10 | + | 9.80687e9i | 1.40339 | + | 0.412071i | ||||
\(923\) | 3.56194e10 | + | 3.08644e10i | 1.49101 | + | 1.29197i | ||||
\(924\) | −1.90706e9 | + | 4.77157e9i | −0.0795268 | + | 0.198980i | ||||
\(925\) | −2.34224e9 | − | 3.36763e8i | −0.0973049 | − | 0.0139903i | ||||
\(926\) | −4.58280e10 | − | 7.13097e10i | −1.89667 | − | 2.95128i | ||||
\(927\) | −1.55003e9 | + | 1.62937e9i | −0.0639088 | + | 0.0671802i | ||||
\(928\) | 5.11907e10 | + | 5.90773e10i | 2.10268 | + | 2.42662i | ||||
\(929\) | 3.37448e9 | − | 4.85177e8i | 0.138087 | − | 0.0198539i | −0.0729249 | − | 0.997337i | \(-0.523233\pi\) |
0.211012 | + | 0.977484i | \(0.432324\pi\) | |||||||
\(930\) | −1.08385e10 | − | 2.62280e9i | −0.441855 | − | 0.106924i | ||||
\(931\) | 1.06411e10 | + | 3.62403e10i | 0.432178 | + | 1.47186i | ||||
\(932\) | −2.16728e10 | − | 7.38107e10i | −0.876918 | − | 2.98651i | ||||
\(933\) | −7.14675e9 | − | 1.72943e9i | −0.288087 | − | 0.0697136i | ||||
\(934\) | −7.14852e10 | + | 1.02780e10i | −2.87079 | + | 0.412758i | ||||
\(935\) | −7.19782e9 | − | 8.30672e9i | −0.287978 | − | 0.332345i | ||||
\(936\) | 5.23519e10 | − | 5.50317e10i | 2.08673 | − | 2.19355i | ||||
\(937\) | −1.30160e10 | − | 2.02534e10i | −0.516881 | − | 0.804282i | 0.480471 | − | 0.877011i | \(-0.340466\pi\) |
−0.997352 | + | 0.0727284i | \(0.976829\pi\) | |||||||
\(938\) | 5.46364e9 | + | 7.85553e8i | 0.216159 | + | 0.0310789i | ||||
\(939\) | −1.35734e9 | + | 3.39613e9i | −0.0535007 | + | 0.133861i | ||||
\(940\) | −6.05424e10 | − | 5.24603e10i | −2.37745 | − | 2.06008i | ||||
\(941\) | −1.57536e10 | − | 4.62568e9i | −0.616334 | − | 0.180972i | −0.0413611 | − | 0.999144i | \(-0.513169\pi\) |
−0.574973 | + | 0.818172i | \(0.694988\pi\) | |||||||
\(942\) | −4.80395e10 | + | 9.28752e9i | −1.87249 | + | 0.362011i | ||||
\(943\) | −1.64821e10 | − | 1.35349e10i | −0.640063 | − | 0.525611i | ||||
\(944\) | − | 8.31398e10i | − | 3.21667i | ||||||
\(945\) | −9.68151e8 | − | 3.27630e9i | −0.0373192 | − | 0.126291i | ||||
\(946\) | 2.66965e10 | − | 3.08094e10i | 1.02526 | − | 1.18322i | ||||
\(947\) | 5.52907e9 | − | 8.60339e9i | 0.211557 | − | 0.329189i | −0.719216 | − | 0.694786i | \(-0.755499\pi\) |
0.930773 | + | 0.365598i | \(0.119135\pi\) | |||||||
\(948\) | 8.38958e10 | − | 4.04482e9i | 3.19824 | − | 0.154195i | ||||
\(949\) | −1.91924e10 | + | 1.23342e10i | −0.728950 | + | 0.468468i | ||||
\(950\) | −2.93763e9 | − | 6.43251e9i | −0.111164 | − | 0.243415i | ||||
\(951\) | 1.43763e10 | − | 1.83027e10i | 0.542022 | − | 0.690053i | ||||
\(952\) | 8.54589e8 | + | 5.94380e9i | 0.0321017 | + | 0.223272i | ||||
\(953\) | 3.83111e9 | − | 8.38895e9i | 0.143383 | − | 0.313966i | −0.824292 | − | 0.566165i | \(-0.808427\pi\) |
0.967675 | + | 0.252199i | \(0.0811538\pi\) | |||||||
\(954\) | 2.25158e10 | + | 2.85635e10i | 0.839592 | + | 1.06510i | ||||
\(955\) | −3.43886e10 | + | 1.00974e10i | −1.27762 | + | 0.375143i | ||||
\(956\) | 8.66920e10 | + | 3.95909e10i | 3.20905 | + | 1.46552i | ||||
\(957\) | −2.22695e10 | + | 7.72190e9i | −0.821332 | + | 0.284795i | ||||
\(958\) | −1.14561e10 | + | 9.92677e9i | −0.420976 | + | 0.364778i | ||||
\(959\) | −1.08051e9 | + | 4.93453e8i | −0.0395607 | + | 0.0180668i | ||||
\(960\) | 3.76973e10 | − | 3.59857e10i | 1.37518 | − | 1.31275i | ||||
\(961\) | 3.70511e9 | − | 2.57696e10i | 0.134669 | − | 0.936646i | ||||
\(962\) | −4.95892e10 | − | 3.18690e10i | −1.79587 | − | 1.15413i | ||||
\(963\) | 1.96920e9 | − | 5.71087e9i | 0.0710555 | − | 0.206068i | ||||
\(964\) | −2.59811e10 | + | 8.84835e10i | −0.934088 | + | 3.18121i | ||||
\(965\) | −2.23073e10 | −0.799102 | ||||||||
\(966\) | −3.99059e9 | − | 5.29488e9i | −0.142435 | − | 0.188989i | ||||
\(967\) | 1.72954e9 | 0.0615090 | 0.0307545 | − | 0.999527i | \(-0.490209\pi\) | ||||
0.0307545 | + | 0.999527i | \(0.490209\pi\) | |||||||
\(968\) | −1.24404e10 | + | 4.23682e10i | −0.440830 | + | 1.50133i | ||||
\(969\) | −2.39096e10 | − | 1.37859e10i | −0.844188 | − | 0.486745i | ||||
\(970\) | −5.32471e8 | − | 3.42198e8i | −0.0187325 | − | 0.0120386i | ||||
\(971\) | −4.36588e9 | + | 3.03654e10i | −0.153040 | + | 1.06442i | 0.758047 | + | 0.652200i | \(0.226154\pi\) |
−0.911086 | + | 0.412215i | \(0.864755\pi\) | |||||||
\(972\) | −3.23174e9 | + | 7.22116e10i | −0.112877 | + | 2.52217i | ||||
\(973\) | −2.32685e9 | + | 1.06264e9i | −0.0809793 | + | 0.0369820i | ||||
\(974\) | 6.54579e9 | − | 5.67196e9i | 0.226990 | − | 0.196688i | ||||
\(975\) | 9.16985e8 | + | 2.64453e9i | 0.0316845 | + | 0.0913761i | ||||
\(976\) | 1.33801e11 | + | 6.11047e10i | 4.60663 | + | 2.10378i | ||||
\(977\) | −6.80957e8 | + | 1.99947e8i | −0.0233609 | + | 0.00685937i | −0.293392 | − | 0.955992i | \(-0.594784\pi\) |
0.270031 | + | 0.962852i | \(0.412966\pi\) | |||||||
\(978\) | 2.47972e10 | + | 4.80320e10i | 0.847649 | + | 1.64189i | ||||
\(979\) | −1.51059e9 | + | 3.30773e9i | −0.0514526 | + | 0.112665i | ||||
\(980\) | −1.08842e10 | − | 7.57010e10i | −0.369406 | − | 2.56927i | ||||
\(981\) | 2.27153e10 | − | 4.41863e10i | 0.768206 | − | 1.49433i | ||||
\(982\) | 3.02292e10 | + | 6.61928e10i | 1.01868 | + | 2.23059i | ||||
\(983\) | 4.28634e9 | − | 2.75466e9i | 0.143929 | − | 0.0924977i | −0.466694 | − | 0.884419i | \(-0.654555\pi\) |
0.610624 | + | 0.791921i | \(0.290919\pi\) | |||||||
\(984\) | −3.41215e9 | − | 7.07732e10i | −0.114168 | − | 2.36802i | ||||
\(985\) | −9.80715e9 | + | 1.52602e10i | −0.326976 | + | 0.508785i | ||||
\(986\) | −2.98679e10 | + | 3.44695e10i | −0.992284 | + | 1.14516i | ||||
\(987\) | −4.52104e9 | − | 4.29083e8i | −0.149668 | − | 0.0142047i | ||||
\(988\) | − | 1.26179e11i | − | 4.16236i | ||||||
\(989\) | 1.15681e10 | + | 3.58578e10i | 0.380257 | + | 1.17868i | ||||
\(990\) | 1.50282e10 | + | 3.74139e10i | 0.492249 | + | 1.22549i | ||||
\(991\) | 3.59275e10 | + | 1.05493e10i | 1.17265 | + | 0.344322i | 0.809338 | − | 0.587344i | \(-0.199826\pi\) |
0.363316 | + | 0.931666i | \(0.381645\pi\) | |||||||
\(992\) | −1.33945e10 | − | 1.16064e10i | −0.435647 | − | 0.377490i | ||||
\(993\) | 2.07610e9 | + | 8.29758e8i | 0.0672860 | + | 0.0268924i | ||||
\(994\) | 1.35293e10 | + | 1.94522e9i | 0.436942 | + | 0.0628228i | ||||
\(995\) | −2.30861e10 | − | 3.59227e10i | −0.742968 | − | 1.15608i | ||||
\(996\) | 2.41301e10 | + | 3.38448e10i | 0.773841 | + | 1.08539i | ||||
\(997\) | −2.57336e10 | − | 2.96981e10i | −0.822369 | − | 0.949065i | 0.177013 | − | 0.984209i | \(-0.443357\pi\) |
−0.999382 | + | 0.0351439i | \(0.988811\pi\) | |||||||
\(998\) | −8.37938e10 | + | 1.20477e10i | −2.66843 | + | 0.383662i | ||||
\(999\) | 3.35248e10 | − | 4.87920e9i | 1.06387 | − | 0.154835i |
(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 | 69.8.g.a.5.3 | ✓ | 540 | |
3.2 | odd | 2 | inner | 69.8.g.a.5.52 | yes | 540 | |
23.14 | odd | 22 | inner | 69.8.g.a.14.52 | yes | 540 | |
69.14 | even | 22 | inner | 69.8.g.a.14.3 | yes | 540 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
69.8.g.a.5.3 | ✓ | 540 | 1.1 | even | 1 | trivial | |
69.8.g.a.5.52 | yes | 540 | 3.2 | odd | 2 | inner | |
69.8.g.a.14.3 | yes | 540 | 69.14 | even | 22 | inner | |
69.8.g.a.14.52 | yes | 540 | 23.14 | odd | 22 | inner |