Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,10,Mod(6,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4]))
N = Newforms(chi, 10, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.6");
S:= CuspForms(chi, 10);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 10 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.c (of order \(3\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(22.1465409550\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{3})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 36.19 | ||
Character | \(\chi\) | \(=\) | 43.36 |
Dual form | 43.10.c.a.6.19 |
$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 3.31091 | 0.146323 | 0.0731614 | − | 0.997320i | \(-0.476691\pi\) | ||||
0.0731614 | + | 0.997320i | \(0.476691\pi\) | |||||||
\(3\) | 64.4391 | + | 111.612i | 0.459308 | + | 0.795545i | 0.998925 | − | 0.0463661i | \(-0.0147641\pi\) |
−0.539617 | + | 0.841911i | \(0.681431\pi\) | |||||||
\(4\) | −501.038 | −0.978590 | ||||||||
\(5\) | −994.242 | − | 1722.08i | −0.711421 | − | 1.23222i | −0.964324 | − | 0.264726i | \(-0.914718\pi\) |
0.252902 | − | 0.967492i | \(-0.418615\pi\) | |||||||
\(6\) | 213.352 | + | 369.536i | 0.0672072 | + | 0.116406i | ||||
\(7\) | −3834.95 | + | 6642.33i | −0.603697 | + | 1.04563i | 0.388559 | + | 0.921424i | \(0.372973\pi\) |
−0.992256 | + | 0.124210i | \(0.960360\pi\) | |||||||
\(8\) | −3354.07 | −0.289513 | ||||||||
\(9\) | 1536.70 | − | 2661.64i | 0.0780723 | − | 0.135225i | ||||
\(10\) | −3291.84 | − | 5701.64i | −0.104097 | − | 0.180302i | ||||
\(11\) | 56849.2 | 1.17073 | 0.585366 | − | 0.810769i | \(-0.300951\pi\) | ||||
0.585366 | + | 0.810769i | \(0.300951\pi\) | |||||||
\(12\) | −32286.4 | − | 55921.8i | −0.449474 | − | 0.778512i | ||||
\(13\) | 31462.4 | − | 54494.4i | 0.305525 | − | 0.529184i | −0.671853 | − | 0.740684i | \(-0.734502\pi\) |
0.977378 | + | 0.211500i | \(0.0678349\pi\) | |||||||
\(14\) | −12697.2 | + | 21992.1i | −0.0883346 | + | 0.153000i | ||||
\(15\) | 128136. | − | 221938.i | 0.653523 | − | 1.13194i | ||||
\(16\) | 245426. | 0.936227 | ||||||||
\(17\) | −33278.7 | + | 57640.4i | −0.0966376 | + | 0.167381i | −0.910291 | − | 0.413969i | \(-0.864142\pi\) |
0.813653 | + | 0.581350i | \(0.197475\pi\) | |||||||
\(18\) | 5087.86 | − | 8812.43i | 0.0114238 | − | 0.0197865i | ||||
\(19\) | 343804. | + | 595487.i | 0.605230 | + | 1.04829i | 0.992015 | + | 0.126119i | \(0.0402521\pi\) |
−0.386785 | + | 0.922170i | \(0.626415\pi\) | |||||||
\(20\) | 498153. | + | 862826.i | 0.696190 | + | 1.20584i | ||||
\(21\) | −988484. | −1.10913 | ||||||||
\(22\) | 188222. | 0.171305 | ||||||||
\(23\) | −93712.2 | − | 162314.i | −0.0698266 | − | 0.120943i | 0.828998 | − | 0.559251i | \(-0.188911\pi\) |
−0.898825 | + | 0.438308i | \(0.855578\pi\) | |||||||
\(24\) | −216134. | − | 374354.i | −0.132976 | − | 0.230320i | ||||
\(25\) | −1.00047e6 | + | 1.73287e6i | −0.512241 | + | 0.887227i | ||||
\(26\) | 104169. | − | 180426.i | 0.0447052 | − | 0.0774317i | ||||
\(27\) | 2.93280e6 | 1.06205 | ||||||||
\(28\) | 1.92146e6 | − | 3.32806e6i | 0.590771 | − | 1.02325i | ||||
\(29\) | 2.36009e6 | − | 4.08780e6i | 0.619638 | − | 1.07325i | −0.369913 | − | 0.929066i | \(-0.620613\pi\) |
0.989552 | − | 0.144179i | \(-0.0460540\pi\) | |||||||
\(30\) | 424247. | − | 734817.i | 0.0956253 | − | 0.165628i | ||||
\(31\) | 419930. | + | 727340.i | 0.0816675 | + | 0.141452i | 0.903966 | − | 0.427604i | \(-0.140642\pi\) |
−0.822299 | + | 0.569056i | \(0.807309\pi\) | |||||||
\(32\) | 2.52987e6 | 0.426504 | ||||||||
\(33\) | 3.66331e6 | + | 6.34504e6i | 0.537726 | + | 0.931369i | ||||
\(34\) | −110183. | + | 190842.i | −0.0141403 | + | 0.0244917i | ||||
\(35\) | 1.52515e7 | 1.71793 | ||||||||
\(36\) | −769944. | + | 1.33358e6i | −0.0764008 | + | 0.132330i | ||||
\(37\) | −1.90633e6 | − | 3.30187e6i | −0.167221 | − | 0.289635i | 0.770221 | − | 0.637777i | \(-0.220146\pi\) |
−0.937442 | + | 0.348142i | \(0.886813\pi\) | |||||||
\(38\) | 1.13830e6 | + | 1.97160e6i | 0.0885589 | + | 0.153389i | ||||
\(39\) | 8.10963e6 | 0.561320 | ||||||||
\(40\) | 3.33476e6 | + | 5.77597e6i | 0.205966 | + | 0.356743i | ||||
\(41\) | 1.88228e7 | 1.04030 | 0.520149 | − | 0.854076i | \(-0.325876\pi\) | ||||
0.520149 | + | 0.854076i | \(0.325876\pi\) | |||||||
\(42\) | −3.27278e6 | −0.162291 | ||||||||
\(43\) | −1.72113e7 | − | 1.43654e7i | −0.767725 | − | 0.640780i | ||||
\(44\) | −2.84836e7 | −1.14567 | ||||||||
\(45\) | −6.11139e6 | −0.222169 | ||||||||
\(46\) | −310272. | − | 537408.i | −0.0102172 | − | 0.0176968i | ||||
\(47\) | 4.22243e7 | 1.26218 | 0.631091 | − | 0.775709i | \(-0.282607\pi\) | ||||
0.631091 | + | 0.775709i | \(0.282607\pi\) | |||||||
\(48\) | 1.58151e7 | + | 2.73925e7i | 0.430017 | + | 0.744811i | ||||
\(49\) | −9.23692e6 | − | 1.59988e7i | −0.228899 | − | 0.396465i | ||||
\(50\) | −3.31246e6 | + | 5.73735e6i | −0.0749525 | + | 0.129822i | ||||
\(51\) | −8.57780e6 | −0.177546 | ||||||||
\(52\) | −1.57638e7 | + | 2.73038e7i | −0.298983 | + | 0.517854i | ||||
\(53\) | 1.81246e7 | + | 3.13927e7i | 0.315519 | + | 0.546496i | 0.979548 | − | 0.201212i | \(-0.0644879\pi\) |
−0.664028 | + | 0.747707i | \(0.731155\pi\) | |||||||
\(54\) | 9.71024e6 | 0.155403 | ||||||||
\(55\) | −5.65218e7 | − | 9.78987e7i | −0.832883 | − | 1.44260i | ||||
\(56\) | 1.28627e7 | − | 2.22789e7i | 0.174778 | − | 0.302724i | ||||
\(57\) | −4.43089e7 | + | 7.67453e7i | −0.555974 | + | 0.962975i | ||||
\(58\) | 7.81405e6 | − | 1.35343e7i | 0.0906672 | − | 0.157040i | ||||
\(59\) | 907779. | 0.00975318 | 0.00487659 | − | 0.999988i | \(-0.498448\pi\) | ||||
0.00487659 | + | 0.999988i | \(0.498448\pi\) | |||||||
\(60\) | −6.42011e7 | + | 1.11199e8i | −0.639531 | + | 1.10770i | ||||
\(61\) | 8.54692e7 | − | 1.48037e8i | 0.790361 | − | 1.36895i | −0.135383 | − | 0.990793i | \(-0.543226\pi\) |
0.925744 | − | 0.378152i | \(-0.123440\pi\) | |||||||
\(62\) | 1.39035e6 | + | 2.40815e6i | 0.0119498 | + | 0.0206977i | ||||
\(63\) | 1.17863e7 | + | 2.04145e7i | 0.0942640 | + | 0.163270i | ||||
\(64\) | −1.17282e8 | −0.873820 | ||||||||
\(65\) | −1.25125e8 | −0.869427 | ||||||||
\(66\) | 1.21289e7 | + | 2.10078e7i | 0.0786816 | + | 0.136281i | ||||
\(67\) | −6.89148e7 | − | 1.19364e8i | −0.417807 | − | 0.723663i | 0.577912 | − | 0.816099i | \(-0.303868\pi\) |
−0.995719 | + | 0.0924364i | \(0.970535\pi\) | |||||||
\(68\) | 1.66739e7 | − | 2.88800e7i | 0.0945686 | − | 0.163798i | ||||
\(69\) | 1.20775e7 | − | 2.09188e7i | 0.0641439 | − | 0.111100i | ||||
\(70\) | 5.04962e7 | 0.251372 | ||||||||
\(71\) | 1.65415e8 | − | 2.86506e8i | 0.772522 | − | 1.33805i | −0.163654 | − | 0.986518i | \(-0.552328\pi\) |
0.936177 | − | 0.351530i | \(-0.114339\pi\) | |||||||
\(72\) | −5.15420e6 | + | 8.92733e6i | −0.0226029 | + | 0.0391494i | ||||
\(73\) | −2.35026e8 | + | 4.07078e8i | −0.968643 | + | 1.67774i | −0.269152 | + | 0.963098i | \(0.586743\pi\) |
−0.699491 | + | 0.714641i | \(0.746590\pi\) | |||||||
\(74\) | −6.31169e6 | − | 1.09322e7i | −0.0244682 | − | 0.0423802i | ||||
\(75\) | −2.57878e8 | −0.941105 | ||||||||
\(76\) | −1.72259e8 | − | 2.98361e8i | −0.592272 | − | 1.02584i | ||||
\(77\) | −2.18014e8 | + | 3.77611e8i | −0.706767 | + | 1.22416i | ||||
\(78\) | 2.68502e7 | 0.0821338 | ||||||||
\(79\) | −2.38346e8 | + | 4.12827e8i | −0.688471 | + | 1.19247i | 0.283861 | + | 0.958865i | \(0.408384\pi\) |
−0.972332 | + | 0.233602i | \(0.924949\pi\) | |||||||
\(80\) | −2.44013e8 | − | 4.22643e8i | −0.666052 | − | 1.15364i | ||||
\(81\) | 1.58741e8 | + | 2.74947e8i | 0.409737 | + | 0.709685i | ||||
\(82\) | 6.23206e7 | 0.152219 | ||||||||
\(83\) | −1.45319e8 | − | 2.51700e8i | −0.336102 | − | 0.582146i | 0.647594 | − | 0.761986i | \(-0.275775\pi\) |
−0.983696 | + | 0.179840i | \(0.942442\pi\) | |||||||
\(84\) | 4.95268e8 | 1.08538 | ||||||||
\(85\) | 1.32348e8 | 0.275000 | ||||||||
\(86\) | −5.69850e7 | − | 4.75624e7i | −0.112336 | − | 0.0937606i | ||||
\(87\) | 6.08330e8 | 1.13842 | ||||||||
\(88\) | −1.90676e8 | −0.338942 | ||||||||
\(89\) | 2.84452e8 | + | 4.92685e8i | 0.480567 | + | 0.832366i | 0.999751 | − | 0.0222960i | \(-0.00709764\pi\) |
−0.519185 | + | 0.854662i | \(0.673764\pi\) | |||||||
\(90\) | −2.02343e7 | −0.0325084 | ||||||||
\(91\) | 2.41313e8 | + | 4.17967e8i | 0.368888 | + | 0.638933i | ||||
\(92\) | 4.69534e7 | + | 8.13256e7i | 0.0683316 | + | 0.118354i | ||||
\(93\) | −5.41198e7 | + | 9.37383e7i | −0.0750210 | + | 0.129940i | ||||
\(94\) | 1.39801e8 | 0.184686 | ||||||||
\(95\) | 6.83649e8 | − | 1.18412e9i | 0.861147 | − | 1.49155i | ||||
\(96\) | 1.63023e8 | + | 2.82363e8i | 0.195897 | + | 0.339303i | ||||
\(97\) | 2.47038e8 | 0.283328 | 0.141664 | − | 0.989915i | \(-0.454755\pi\) | ||||
0.141664 | + | 0.989915i | \(0.454755\pi\) | |||||||
\(98\) | −3.05826e7 | − | 5.29706e7i | −0.0334932 | − | 0.0580119i | ||||
\(99\) | 8.73600e7 | − | 1.51312e8i | 0.0914017 | − | 0.158312i | ||||
\(100\) | 5.01273e8 | − | 8.68231e8i | 0.501273 | − | 0.868231i | ||||
\(101\) | 4.95284e8 | − | 8.57857e8i | 0.473596 | − | 0.820293i | −0.525947 | − | 0.850517i | \(-0.676289\pi\) |
0.999543 | + | 0.0302246i | \(0.00962224\pi\) | |||||||
\(102\) | −2.84003e7 | −0.0259790 | ||||||||
\(103\) | 8.17264e8 | − | 1.41554e9i | 0.715476 | − | 1.23924i | −0.247300 | − | 0.968939i | \(-0.579543\pi\) |
0.962776 | − | 0.270301i | \(-0.0871233\pi\) | |||||||
\(104\) | −1.05527e8 | + | 1.82778e8i | −0.0884533 | + | 0.153206i | ||||
\(105\) | 9.82792e8 | + | 1.70225e9i | 0.789059 | + | 1.36669i | ||||
\(106\) | 6.00087e7 | + | 1.03938e8i | 0.0461677 | + | 0.0799648i | ||||
\(107\) | −1.18869e8 | −0.0876684 | −0.0438342 | − | 0.999039i | \(-0.513957\pi\) | ||||
−0.0438342 | + | 0.999039i | \(0.513957\pi\) | |||||||
\(108\) | −1.46945e9 | −1.03931 | ||||||||
\(109\) | 2.47824e8 | + | 4.29244e8i | 0.168161 | + | 0.291263i | 0.937773 | − | 0.347248i | \(-0.112884\pi\) |
−0.769612 | + | 0.638511i | \(0.779551\pi\) | |||||||
\(110\) | −1.87138e8 | − | 3.24133e8i | −0.121870 | − | 0.211085i | ||||
\(111\) | 2.45685e8 | − | 4.25539e8i | 0.153612 | − | 0.266064i | ||||
\(112\) | −9.41199e8 | + | 1.63020e9i | −0.565197 | + | 0.978951i | ||||
\(113\) | 2.23619e8 | 0.129020 | 0.0645098 | − | 0.997917i | \(-0.479452\pi\) | ||||
0.0645098 | + | 0.997917i | \(0.479452\pi\) | |||||||
\(114\) | −1.46703e8 | + | 2.54096e8i | −0.0813516 | + | 0.140905i | ||||
\(115\) | −1.86345e8 | + | 3.22759e8i | −0.0993523 | + | 0.172083i | ||||
\(116\) | −1.18250e9 | + | 2.04814e9i | −0.606372 | + | 1.05027i | ||||
\(117\) | −9.66962e7 | − | 1.67483e8i | −0.0477060 | − | 0.0826293i | ||||
\(118\) | 3.00557e6 | 0.00142711 | ||||||||
\(119\) | −2.55245e8 | − | 4.42096e8i | −0.116680 | − | 0.202095i | ||||
\(120\) | −4.29778e8 | + | 7.44397e8i | −0.189203 | + | 0.327710i | ||||
\(121\) | 8.73882e8 | 0.370611 | ||||||||
\(122\) | 2.82981e8 | − | 4.90137e8i | 0.115648 | − | 0.200308i | ||||
\(123\) | 1.21293e9 | + | 2.10085e9i | 0.477817 | + | 0.827603i | ||||
\(124\) | −2.10401e8 | − | 3.64425e8i | −0.0799189 | − | 0.138424i | ||||
\(125\) | 9.50801e7 | 0.0348333 | ||||||||
\(126\) | 3.90234e7 | + | 6.75905e7i | 0.0137930 | + | 0.0238901i | ||||
\(127\) | 4.36338e9 | 1.48836 | 0.744178 | − | 0.667981i | \(-0.232841\pi\) | ||||
0.744178 | + | 0.667981i | \(0.232841\pi\) | |||||||
\(128\) | −1.68360e9 | −0.554364 | ||||||||
\(129\) | 4.94264e8 | − | 2.84668e9i | 0.157147 | − | 0.905075i | ||||
\(130\) | −4.14276e8 | −0.127217 | ||||||||
\(131\) | 3.54118e9 | 1.05058 | 0.525288 | − | 0.850924i | \(-0.323958\pi\) | ||||
0.525288 | + | 0.850924i | \(0.323958\pi\) | |||||||
\(132\) | −1.83546e9 | − | 3.17911e9i | −0.526213 | − | 0.911428i | ||||
\(133\) | −5.27389e9 | −1.46150 | ||||||||
\(134\) | −2.28170e8 | − | 3.95203e8i | −0.0611347 | − | 0.105888i | ||||
\(135\) | −2.91592e9 | − | 5.05052e9i | −0.755567 | − | 1.30868i | ||||
\(136\) | 1.11619e8 | − | 1.93330e8i | 0.0279778 | − | 0.0484590i | ||||
\(137\) | −3.49659e9 | −0.848012 | −0.424006 | − | 0.905659i | \(-0.639376\pi\) | ||||
−0.424006 | + | 0.905659i | \(0.639376\pi\) | |||||||
\(138\) | 3.99874e7 | − | 6.92602e7i | 0.00938571 | − | 0.0162565i | ||||
\(139\) | 1.00485e9 | + | 1.74044e9i | 0.228314 | + | 0.395452i | 0.957309 | − | 0.289068i | \(-0.0933453\pi\) |
−0.728994 | + | 0.684520i | \(0.760012\pi\) | |||||||
\(140\) | −7.64157e9 | −1.68115 | ||||||||
\(141\) | 2.72090e9 | + | 4.71273e9i | 0.579730 | + | 1.00412i | ||||
\(142\) | 5.47672e8 | − | 9.48596e8i | 0.113038 | − | 0.195787i | ||||
\(143\) | 1.78861e9 | − | 3.09796e9i | 0.357687 | − | 0.619532i | ||||
\(144\) | 3.77146e8 | − | 6.53236e8i | 0.0730934 | − | 0.126602i | ||||
\(145\) | −9.38601e9 | −1.76330 | ||||||||
\(146\) | −7.78150e8 | + | 1.34780e9i | −0.141735 | + | 0.245491i | ||||
\(147\) | 1.19044e9 | − | 2.06190e9i | 0.210271 | − | 0.364200i | ||||
\(148\) | 9.55145e8 | + | 1.65436e9i | 0.163641 | + | 0.283434i | ||||
\(149\) | 5.60039e9 | + | 9.70016e9i | 0.930851 | + | 1.61228i | 0.781870 | + | 0.623441i | \(0.214266\pi\) |
0.148981 | + | 0.988840i | \(0.452401\pi\) | |||||||
\(150\) | −8.53809e8 | −0.137705 | ||||||||
\(151\) | −4.42969e8 | −0.0693389 | −0.0346695 | − | 0.999399i | \(-0.511038\pi\) | ||||
−0.0346695 | + | 0.999399i | \(0.511038\pi\) | |||||||
\(152\) | −1.15315e9 | − | 1.99731e9i | −0.175222 | − | 0.303493i | ||||
\(153\) | 1.02279e8 | + | 1.77152e8i | 0.0150894 | + | 0.0261357i | ||||
\(154\) | −7.21824e8 | + | 1.25024e9i | −0.103416 | + | 0.179122i | ||||
\(155\) | 8.35023e8 | − | 1.44630e9i | 0.116200 | − | 0.201264i | ||||
\(156\) | −4.06323e9 | −0.549301 | ||||||||
\(157\) | −8.33743e8 | + | 1.44409e9i | −0.109518 | + | 0.189690i | −0.915575 | − | 0.402147i | \(-0.868264\pi\) |
0.806057 | + | 0.591837i | \(0.201597\pi\) | |||||||
\(158\) | −7.89141e8 | + | 1.36683e9i | −0.100739 | + | 0.174485i | ||||
\(159\) | −2.33586e9 | + | 4.04583e9i | −0.289841 | + | 0.502020i | ||||
\(160\) | −2.51530e9 | − | 4.35663e9i | −0.303424 | − | 0.525546i | ||||
\(161\) | 1.43753e9 | 0.168616 | ||||||||
\(162\) | 5.25575e8 | + | 9.10323e8i | 0.0599539 | + | 0.103843i | ||||
\(163\) | 5.88539e9 | − | 1.01938e10i | 0.653026 | − | 1.13107i | −0.329358 | − | 0.944205i | \(-0.606832\pi\) |
0.982385 | − | 0.186870i | \(-0.0598343\pi\) | |||||||
\(164\) | −9.43095e9 | −1.01802 | ||||||||
\(165\) | 7.28443e9 | − | 1.26170e10i | 0.765100 | − | 1.32519i | ||||
\(166\) | −4.81138e8 | − | 8.33355e8i | −0.0491794 | − | 0.0851811i | ||||
\(167\) | 7.09325e9 | + | 1.22859e10i | 0.705702 | + | 1.22231i | 0.966438 | + | 0.256902i | \(0.0827016\pi\) |
−0.260736 | + | 0.965410i | \(0.583965\pi\) | |||||||
\(168\) | 3.31545e9 | 0.321108 | ||||||||
\(169\) | 3.32249e9 | + | 5.75472e9i | 0.313309 | + | 0.542668i | ||||
\(170\) | 4.38193e8 | 0.0402388 | ||||||||
\(171\) | 2.11329e9 | 0.189007 | ||||||||
\(172\) | 8.62351e9 | + | 7.19759e9i | 0.751288 | + | 0.627060i | ||||
\(173\) | −1.19895e10 | −1.01764 | −0.508819 | − | 0.860873i | \(-0.669918\pi\) | ||||
−0.508819 | + | 0.860873i | \(0.669918\pi\) | |||||||
\(174\) | 2.01412e9 | 0.166577 | ||||||||
\(175\) | −7.67351e9 | − | 1.32909e10i | −0.618476 | − | 1.07123i | ||||
\(176\) | 1.39523e10 | 1.09607 | ||||||||
\(177\) | 5.84965e7 | + | 1.01319e8i | 0.00447971 | + | 0.00775909i | ||||
\(178\) | 9.41793e8 | + | 1.63123e9i | 0.0703179 | + | 0.121794i | ||||
\(179\) | −6.66820e9 | + | 1.15497e10i | −0.485478 | + | 0.840873i | −0.999861 | − | 0.0166878i | \(-0.994688\pi\) |
0.514382 | + | 0.857561i | \(0.328021\pi\) | |||||||
\(180\) | 3.06204e9 | 0.217413 | ||||||||
\(181\) | 5.71473e9 | − | 9.89821e9i | 0.395770 | − | 0.685493i | −0.597429 | − | 0.801921i | \(-0.703811\pi\) |
0.993199 | + | 0.116428i | \(0.0371446\pi\) | |||||||
\(182\) | 7.98966e8 | + | 1.38385e9i | 0.0539768 | + | 0.0934905i | ||||
\(183\) | 2.20302e10 | 1.45208 | ||||||||
\(184\) | 3.14318e8 | + | 5.44414e8i | 0.0202157 | + | 0.0350146i | ||||
\(185\) | −3.79071e9 | + | 6.56570e9i | −0.237929 | + | 0.412106i | ||||
\(186\) | −1.79186e8 | + | 3.10359e8i | −0.0109773 | + | 0.0190132i | ||||
\(187\) | −1.89187e9 | + | 3.27681e9i | −0.113137 | + | 0.195958i | ||||
\(188\) | −2.11560e10 | −1.23516 | ||||||||
\(189\) | −1.12472e10 | + | 1.94807e10i | −0.641158 | + | 1.11052i | ||||
\(190\) | 2.26350e9 | − | 3.92050e9i | 0.126005 | − | 0.218248i | ||||
\(191\) | 2.33068e9 | + | 4.03685e9i | 0.126716 | + | 0.219479i | 0.922402 | − | 0.386230i | \(-0.126223\pi\) |
−0.795686 | + | 0.605709i | \(0.792890\pi\) | |||||||
\(192\) | −7.55756e9 | − | 1.30901e10i | −0.401353 | − | 0.695163i | ||||
\(193\) | 2.25931e10 | 1.17211 | 0.586054 | − | 0.810272i | \(-0.300681\pi\) | ||||
0.586054 | + | 0.810272i | \(0.300681\pi\) | |||||||
\(194\) | 8.17918e8 | 0.0414574 | ||||||||
\(195\) | −8.06293e9 | − | 1.39654e10i | −0.399335 | − | 0.691668i | ||||
\(196\) | 4.62805e9 | + | 8.01601e9i | 0.223999 | + | 0.387977i | ||||
\(197\) | 1.45621e10 | − | 2.52223e10i | 0.688852 | − | 1.19313i | −0.283357 | − | 0.959014i | \(-0.591448\pi\) |
0.972210 | − | 0.234113i | \(-0.0752184\pi\) | |||||||
\(198\) | 2.89241e8 | − | 5.00980e8i | 0.0133741 | − | 0.0231647i | ||||
\(199\) | 2.96038e10 | 1.33816 | 0.669082 | − | 0.743189i | \(-0.266688\pi\) | ||||
0.669082 | + | 0.743189i | \(0.266688\pi\) | |||||||
\(200\) | 3.35565e9 | − | 5.81216e9i | 0.148300 | − | 0.256864i | ||||
\(201\) | 8.88162e9 | − | 1.53834e10i | 0.383804 | − | 0.664768i | ||||
\(202\) | 1.63984e9 | − | 2.84029e9i | 0.0692979 | − | 0.120028i | ||||
\(203\) | 1.81017e10 | + | 3.13531e10i | 0.748147 | + | 1.29583i | ||||
\(204\) | 4.29780e9 | 0.173744 | ||||||||
\(205\) | −1.87144e10 | − | 3.24144e10i | −0.740090 | − | 1.28187i | ||||
\(206\) | 2.70588e9 | − | 4.68673e9i | 0.104690 | − | 0.181329i | ||||
\(207\) | −5.76029e8 | −0.0218061 | ||||||||
\(208\) | 7.72169e9 | − | 1.33744e10i | 0.286040 | − | 0.495437i | ||||
\(209\) | 1.95450e10 | + | 3.38529e10i | 0.708561 | + | 1.22726i | ||||
\(210\) | 3.25393e9 | + | 5.63598e9i | 0.115457 | + | 0.199978i | ||||
\(211\) | −4.61802e10 | −1.60393 | −0.801964 | − | 0.597373i | \(-0.796211\pi\) | ||||
−0.801964 | + | 0.597373i | \(0.796211\pi\) | |||||||
\(212\) | −9.08109e9 | − | 1.57289e10i | −0.308764 | − | 0.534795i | ||||
\(213\) | 4.26367e10 | 1.41930 | ||||||||
\(214\) | −3.93565e8 | −0.0128279 | ||||||||
\(215\) | −7.62608e9 | + | 4.39218e10i | −0.243404 | + | 1.40187i | ||||
\(216\) | −9.83684e9 | −0.307478 | ||||||||
\(217\) | −6.44164e9 | −0.197210 | ||||||||
\(218\) | 8.20523e8 | + | 1.42119e9i | 0.0246058 | + | 0.0426184i | ||||
\(219\) | −6.05796e10 | −1.77962 | ||||||||
\(220\) | 2.83196e10 | + | 4.90509e10i | 0.815051 | + | 1.41171i | ||||
\(221\) | 2.09405e9 | + | 3.62701e9i | 0.0590503 | + | 0.102278i | ||||
\(222\) | 8.13440e8 | − | 1.40892e9i | 0.0224769 | − | 0.0389312i | ||||
\(223\) | 8.24153e9 | 0.223170 | 0.111585 | − | 0.993755i | \(-0.464407\pi\) | ||||
0.111585 | + | 0.993755i | \(0.464407\pi\) | |||||||
\(224\) | −9.70193e9 | + | 1.68042e10i | −0.257479 | + | 0.445967i | ||||
\(225\) | 3.07484e9 | + | 5.32578e9i | 0.0799836 | + | 0.138536i | ||||
\(226\) | 7.40382e8 | 0.0188785 | ||||||||
\(227\) | −3.27287e10 | − | 5.66878e10i | −0.818112 | − | 1.41701i | −0.907071 | − | 0.420977i | \(-0.861687\pi\) |
0.0889591 | − | 0.996035i | \(-0.471646\pi\) | |||||||
\(228\) | 2.22004e10 | − | 3.84523e10i | 0.544070 | − | 0.942357i | ||||
\(229\) | −2.09177e10 | + | 3.62305e10i | −0.502636 | + | 0.870591i | 0.497359 | + | 0.867545i | \(0.334303\pi\) |
−0.999995 | + | 0.00304642i | \(0.999030\pi\) | |||||||
\(230\) | −6.16972e8 | + | 1.06863e9i | −0.0145375 | + | 0.0251797i | ||||
\(231\) | −5.61945e10 | −1.29849 | ||||||||
\(232\) | −7.91593e9 | + | 1.37108e10i | −0.179393 | + | 0.310718i | ||||
\(233\) | −2.33396e10 | + | 4.04253e10i | −0.518790 | + | 0.898570i | 0.480972 | + | 0.876736i | \(0.340284\pi\) |
−0.999762 | + | 0.0218342i | \(0.993049\pi\) | |||||||
\(234\) | −3.20152e8 | − | 5.54520e8i | −0.00698048 | − | 0.0120905i | ||||
\(235\) | −4.19812e10 | − | 7.27135e10i | −0.897943 | − | 1.55528i | ||||
\(236\) | −4.54832e8 | −0.00954436 | ||||||||
\(237\) | −6.14352e10 | −1.26488 | ||||||||
\(238\) | −8.45091e8 | − | 1.46374e9i | −0.0170729 | − | 0.0295711i | ||||
\(239\) | −1.34118e10 | − | 2.32299e10i | −0.265887 | − | 0.460530i | 0.701909 | − | 0.712267i | \(-0.252331\pi\) |
−0.967796 | + | 0.251737i | \(0.918998\pi\) | |||||||
\(240\) | 3.14480e10 | − | 5.44695e10i | 0.611846 | − | 1.05975i | ||||
\(241\) | −1.22263e10 | + | 2.11766e10i | −0.233463 | + | 0.404371i | −0.958825 | − | 0.283998i | \(-0.908339\pi\) |
0.725362 | + | 0.688368i | \(0.241673\pi\) | |||||||
\(242\) | 2.89334e9 | 0.0542289 | ||||||||
\(243\) | 8.40499e9 | − | 1.45579e10i | 0.154635 | − | 0.267836i | ||||
\(244\) | −4.28233e10 | + | 7.41721e10i | −0.773439 | + | 1.33964i | ||||
\(245\) | −1.83675e10 | + | 3.18134e10i | −0.325688 | + | 0.564108i | ||||
\(246\) | 4.01589e9 | + | 6.95572e9i | 0.0699155 | + | 0.121097i | ||||
\(247\) | 4.32676e10 | 0.739650 | ||||||||
\(248\) | −1.40848e9 | − | 2.43955e9i | −0.0236438 | − | 0.0409522i | ||||
\(249\) | 1.87285e10 | − | 3.24386e10i | 0.308749 | − | 0.534768i | ||||
\(250\) | 3.14801e8 | 0.00509690 | ||||||||
\(251\) | 4.90314e10 | − | 8.49248e10i | 0.779726 | − | 1.35053i | −0.152373 | − | 0.988323i | \(-0.548692\pi\) |
0.932099 | − | 0.362202i | \(-0.117975\pi\) | |||||||
\(252\) | −5.90539e9 | − | 1.02284e10i | −0.0922458 | − | 0.159774i | ||||
\(253\) | −5.32746e9 | − | 9.22744e9i | −0.0817482 | − | 0.141592i | ||||
\(254\) | 1.44468e10 | 0.217780 | ||||||||
\(255\) | 8.52841e9 | + | 1.47716e10i | 0.126310 | + | 0.218775i | ||||
\(256\) | 5.44742e10 | 0.792704 | ||||||||
\(257\) | −7.09042e10 | −1.01385 | −0.506924 | − | 0.861991i | \(-0.669217\pi\) | ||||
−0.506924 | + | 0.861991i | \(0.669217\pi\) | |||||||
\(258\) | 1.63646e9 | − | 9.42508e9i | 0.0229941 | − | 0.132433i | ||||
\(259\) | 2.92428e10 | 0.403803 | ||||||||
\(260\) | 6.26922e10 | 0.850812 | ||||||||
\(261\) | −7.25350e9 | − | 1.25634e10i | −0.0967532 | − | 0.167581i | ||||
\(262\) | 1.17245e10 | 0.153723 | ||||||||
\(263\) | 1.63361e9 | + | 2.82950e9i | 0.0210547 | + | 0.0364678i | 0.876361 | − | 0.481655i | \(-0.159964\pi\) |
−0.855306 | + | 0.518123i | \(0.826631\pi\) | |||||||
\(264\) | −1.22870e10 | − | 2.12817e10i | −0.155679 | − | 0.269643i | ||||
\(265\) | 3.60404e10 | − | 6.24238e10i | 0.448935 | − | 0.777578i | ||||
\(266\) | −1.74614e10 | −0.213851 | ||||||||
\(267\) | −3.66597e10 | + | 6.34964e10i | −0.441456 | + | 0.764625i | ||||
\(268\) | 3.45289e10 | + | 5.98058e10i | 0.408862 | + | 0.708169i | ||||
\(269\) | 7.04007e10 | 0.819770 | 0.409885 | − | 0.912137i | \(-0.365569\pi\) | ||||
0.409885 | + | 0.912137i | \(0.365569\pi\) | |||||||
\(270\) | −9.65433e9 | − | 1.67218e10i | −0.110557 | − | 0.191490i | ||||
\(271\) | −3.95699e10 | + | 6.85371e10i | −0.445659 | + | 0.771905i | −0.998098 | − | 0.0616489i | \(-0.980364\pi\) |
0.552438 | + | 0.833554i | \(0.313697\pi\) | |||||||
\(272\) | −8.16747e9 | + | 1.41465e10i | −0.0904748 | + | 0.156707i | ||||
\(273\) | −3.11000e10 | + | 5.38668e10i | −0.338867 | + | 0.586934i | ||||
\(274\) | −1.15769e10 | −0.124083 | ||||||||
\(275\) | −5.68759e10 | + | 9.85120e10i | −0.599696 | + | 1.03870i | ||||
\(276\) | −6.05127e9 | + | 1.04811e10i | −0.0627705 | + | 0.108722i | ||||
\(277\) | −4.80149e10 | − | 8.31642e10i | −0.490023 | − | 0.848745i | 0.509911 | − | 0.860227i | \(-0.329678\pi\) |
−0.999934 | + | 0.0114821i | \(0.996345\pi\) | |||||||
\(278\) | 3.32695e9 | + | 5.76245e9i | 0.0334076 | + | 0.0578636i | ||||
\(279\) | 2.58122e9 | 0.0255039 | ||||||||
\(280\) | −5.11546e10 | −0.497363 | ||||||||
\(281\) | −3.70733e10 | − | 6.42128e10i | −0.354717 | − | 0.614389i | 0.632352 | − | 0.774681i | \(-0.282090\pi\) |
−0.987070 | + | 0.160293i | \(0.948756\pi\) | |||||||
\(282\) | 9.00864e9 | + | 1.56034e10i | 0.0848278 | + | 0.146926i | ||||
\(283\) | 7.94084e10 | − | 1.37539e11i | 0.735915 | − | 1.27464i | −0.218406 | − | 0.975858i | \(-0.570086\pi\) |
0.954321 | − | 0.298784i | \(-0.0965811\pi\) | |||||||
\(284\) | −8.28790e10 | + | 1.43551e11i | −0.755982 | + | 1.30940i | ||||
\(285\) | 1.76215e11 | 1.58213 | ||||||||
\(286\) | 5.92192e9 | − | 1.02571e10i | 0.0523378 | − | 0.0906517i | ||||
\(287\) | −7.21847e10 | + | 1.25028e11i | −0.628024 | + | 1.08777i | ||||
\(288\) | 3.88764e9 | − | 6.73360e9i | 0.0332982 | − | 0.0576741i | ||||
\(289\) | 5.70790e10 | + | 9.88637e10i | 0.481322 | + | 0.833675i | ||||
\(290\) | −3.10762e10 | −0.258010 | ||||||||
\(291\) | 1.59189e10 | + | 2.75723e10i | 0.130135 | + | 0.225400i | ||||
\(292\) | 1.17757e11 | − | 2.03961e11i | 0.947904 | − | 1.64182i | ||||
\(293\) | −3.24174e10 | −0.256965 | −0.128482 | − | 0.991712i | \(-0.541011\pi\) | ||||
−0.128482 | + | 0.991712i | \(0.541011\pi\) | |||||||
\(294\) | 3.94143e9 | − | 6.82675e9i | 0.0307674 | − | 0.0532907i | ||||
\(295\) | −9.02552e8 | − | 1.56327e9i | −0.00693862 | − | 0.0120180i | ||||
\(296\) | 6.39398e9 | + | 1.10747e10i | 0.0484126 | + | 0.0838531i | ||||
\(297\) | 1.66728e11 | 1.24338 | ||||||||
\(298\) | 1.85424e10 | + | 3.21163e10i | 0.136205 | + | 0.235913i | ||||
\(299\) | −1.17936e10 | −0.0853350 | ||||||||
\(300\) | 1.29207e11 | 0.920956 | ||||||||
\(301\) | 1.61424e11 | − | 5.92327e10i | 1.13349 | − | 0.415922i | ||||
\(302\) | −1.46663e9 | −0.0101459 | ||||||||
\(303\) | 1.27663e11 | 0.870106 | ||||||||
\(304\) | 8.43787e10 | + | 1.46148e11i | 0.566633 | + | 0.981437i | ||||
\(305\) | −3.39908e11 | −2.24912 | ||||||||
\(306\) | 3.38635e8 | + | 5.86533e8i | 0.00220793 | + | 0.00382425i | ||||
\(307\) | −1.28355e11 | − | 2.22317e11i | −0.824686 | − | 1.42840i | −0.902159 | − | 0.431403i | \(-0.858019\pi\) |
0.0774736 | − | 0.996994i | \(-0.475315\pi\) | |||||||
\(308\) | 1.09233e11 | − | 1.89198e11i | 0.691634 | − | 1.19795i | ||||
\(309\) | 2.10655e11 | 1.31449 | ||||||||
\(310\) | 2.76468e9 | − | 4.78857e9i | 0.0170027 | − | 0.0294495i | ||||
\(311\) | 1.38225e11 | + | 2.39412e11i | 0.837845 | + | 1.45119i | 0.891693 | + | 0.452641i | \(0.149518\pi\) |
−0.0538478 | + | 0.998549i | \(0.517149\pi\) | |||||||
\(312\) | −2.72003e10 | −0.162509 | ||||||||
\(313\) | −7.46755e10 | − | 1.29342e11i | −0.439773 | − | 0.761709i | 0.557899 | − | 0.829909i | \(-0.311608\pi\) |
−0.997672 | + | 0.0681998i | \(0.978274\pi\) | |||||||
\(314\) | −2.76045e9 | + | 4.78123e9i | −0.0160249 | + | 0.0277560i | ||||
\(315\) | 2.34369e10 | − | 4.05939e10i | 0.134123 | − | 0.232308i | ||||
\(316\) | 1.19420e11 | − | 2.06842e11i | 0.673731 | − | 1.16694i | ||||
\(317\) | −2.99207e11 | −1.66420 | −0.832099 | − | 0.554627i | \(-0.812861\pi\) | ||||
−0.832099 | + | 0.554627i | \(0.812861\pi\) | |||||||
\(318\) | −7.73382e9 | + | 1.33954e10i | −0.0424104 | + | 0.0734569i | ||||
\(319\) | 1.34169e11 | − | 2.32388e11i | 0.725430 | − | 1.25648i | ||||
\(320\) | 1.16607e11 | + | 2.01969e11i | 0.621654 | + | 1.07674i | ||||
\(321\) | −7.65984e9 | − | 1.32672e10i | −0.0402668 | − | 0.0697441i | ||||
\(322\) | 4.75952e9 | 0.0246724 | ||||||||
\(323\) | −4.57655e10 | −0.233952 | ||||||||
\(324\) | −7.95350e10 | − | 1.37759e11i | −0.400964 | − | 0.694491i | ||||
\(325\) | 6.29543e10 | + | 1.09040e11i | 0.313004 | + | 0.542139i | ||||
\(326\) | 1.94860e10 | − | 3.37507e10i | 0.0955526 | − | 0.165502i | ||||
\(327\) | −3.19392e10 | + | 5.53203e10i | −0.154475 | + | 0.267559i | ||||
\(328\) | −6.31332e10 | −0.301179 | ||||||||
\(329\) | −1.61928e11 | + | 2.80468e11i | −0.761975 | + | 1.31978i | ||||
\(330\) | 2.41181e10 | − | 4.17737e10i | 0.111952 | − | 0.193906i | ||||
\(331\) | −1.66108e11 | + | 2.87708e11i | −0.760615 | + | 1.31742i | 0.181919 | + | 0.983314i | \(0.441769\pi\) |
−0.942534 | + | 0.334110i | \(0.891564\pi\) | |||||||
\(332\) | 7.28103e10 | + | 1.26111e11i | 0.328906 | + | 0.569682i | ||||
\(333\) | −1.17178e10 | −0.0522213 | ||||||||
\(334\) | 2.34851e10 | + | 4.06774e10i | 0.103260 | + | 0.178852i | ||||
\(335\) | −1.37036e11 | + | 2.37353e11i | −0.594474 | + | 1.02966i | ||||
\(336\) | −2.42600e11 | −1.03840 | ||||||||
\(337\) | 1.66268e11 | − | 2.87985e11i | 0.702223 | − | 1.21629i | −0.265461 | − | 0.964122i | \(-0.585524\pi\) |
0.967684 | − | 0.252165i | \(-0.0811424\pi\) | |||||||
\(338\) | 1.10005e10 | + | 1.90533e10i | 0.0458443 | + | 0.0794047i | ||||
\(339\) | 1.44098e10 | + | 2.49585e10i | 0.0592597 | + | 0.102641i | ||||
\(340\) | −6.63115e10 | −0.269112 | ||||||||
\(341\) | 2.38727e10 | + | 4.13487e10i | 0.0956106 | + | 0.165603i | ||||
\(342\) | 6.99692e9 | 0.0276560 | ||||||||
\(343\) | −1.67816e11 | −0.654650 | ||||||||
\(344\) | 5.77280e10 | + | 4.81825e10i | 0.222266 | + | 0.185514i | ||||
\(345\) | −4.80317e10 | −0.182533 | ||||||||
\(346\) | −3.96961e10 | −0.148904 | ||||||||
\(347\) | −2.68745e10 | − | 4.65481e10i | −0.0995081 | − | 0.172353i | 0.811973 | − | 0.583695i | \(-0.198394\pi\) |
−0.911481 | + | 0.411342i | \(0.865060\pi\) | |||||||
\(348\) | −3.04796e11 | −1.11405 | ||||||||
\(349\) | −1.48804e11 | − | 2.57736e11i | −0.536907 | − | 0.929951i | −0.999068 | − | 0.0431547i | \(-0.986259\pi\) |
0.462161 | − | 0.886796i | \(-0.347074\pi\) | |||||||
\(350\) | −2.54063e10 | − | 4.40050e10i | −0.0904971 | − | 0.156746i | ||||
\(351\) | 9.22729e10 | − | 1.59821e11i | 0.324483 | − | 0.562022i | ||||
\(352\) | 1.43821e11 | 0.499322 | ||||||||
\(353\) | −2.49245e11 | + | 4.31705e11i | −0.854358 | + | 1.47979i | 0.0228804 | + | 0.999738i | \(0.492716\pi\) |
−0.877239 | + | 0.480054i | \(0.840617\pi\) | |||||||
\(354\) | 1.93676e8 | + | 3.35457e8i | 0.000655484 | + | 0.00113533i | ||||
\(355\) | −6.57848e11 | −2.19836 | ||||||||
\(356\) | −1.42521e11 | − | 2.46854e11i | −0.470278 | − | 0.814545i | ||||
\(357\) | 3.28955e10 | − | 5.69766e10i | 0.107184 | − | 0.185648i | ||||
\(358\) | −2.20778e10 | + | 3.82398e10i | −0.0710365 | + | 0.123039i | ||||
\(359\) | 9.52366e10 | − | 1.64955e11i | 0.302607 | − | 0.524131i | −0.674119 | − | 0.738623i | \(-0.735476\pi\) |
0.976726 | + | 0.214492i | \(0.0688097\pi\) | |||||||
\(360\) | 2.04981e10 | 0.0643208 | ||||||||
\(361\) | −7.50591e10 | + | 1.30006e11i | −0.232606 | + | 0.402886i | ||||
\(362\) | 1.89209e10 | − | 3.27720e10i | 0.0579101 | − | 0.100303i | ||||
\(363\) | 5.63122e10 | + | 9.75356e10i | 0.170225 | + | 0.294838i | ||||
\(364\) | −1.20907e11 | − | 2.09417e11i | −0.360990 | − | 0.625254i | ||||
\(365\) | 9.34692e11 | 2.75645 | ||||||||
\(366\) | 7.29401e10 | 0.212472 | ||||||||
\(367\) | −2.40730e10 | − | 4.16957e10i | −0.0692681 | − | 0.119976i | 0.829311 | − | 0.558787i | \(-0.188733\pi\) |
−0.898579 | + | 0.438811i | \(0.855400\pi\) | |||||||
\(368\) | −2.29995e10 | − | 3.98362e10i | −0.0653736 | − | 0.113230i | ||||
\(369\) | 2.89250e10 | − | 5.00996e10i | 0.0812184 | − | 0.140674i | ||||
\(370\) | −1.25507e10 | + | 2.17384e10i | −0.0348145 | + | 0.0603004i | ||||
\(371\) | −2.78027e11 | −0.761912 | ||||||||
\(372\) | 2.71161e10 | − | 4.69664e10i | 0.0734148 | − | 0.127158i | ||||
\(373\) | 1.76144e11 | − | 3.05090e11i | 0.471170 | − | 0.816091i | −0.528286 | − | 0.849067i | \(-0.677165\pi\) |
0.999456 | + | 0.0329757i | \(0.0104984\pi\) | |||||||
\(374\) | −6.26380e9 | + | 1.08492e10i | −0.0165545 | + | 0.0286732i | ||||
\(375\) | 6.12688e9 | + | 1.06121e10i | 0.0159992 | + | 0.0277114i | ||||
\(376\) | −1.41623e11 | −0.365418 | ||||||||
\(377\) | −1.48508e11 | − | 2.57224e11i | −0.378629 | − | 0.655805i | ||||
\(378\) | −3.72383e10 | + | 6.44987e10i | −0.0938160 | + | 0.162494i | ||||
\(379\) | 2.95857e11 | 0.736554 | 0.368277 | − | 0.929716i | \(-0.379948\pi\) | ||||
0.368277 | + | 0.929716i | \(0.379948\pi\) | |||||||
\(380\) | −3.42534e11 | + | 5.93287e11i | −0.842709 | + | 1.45962i | ||||
\(381\) | 2.81173e11 | + | 4.87005e11i | 0.683614 | + | 1.18405i | ||||
\(382\) | 7.71666e9 | + | 1.33656e10i | 0.0185415 | + | 0.0321148i | ||||
\(383\) | −5.48055e11 | −1.30146 | −0.650729 | − | 0.759310i | \(-0.725536\pi\) | ||||
−0.650729 | + | 0.759310i | \(0.725536\pi\) | |||||||
\(384\) | −1.08490e11 | − | 1.87910e11i | −0.254624 | − | 0.441021i | ||||
\(385\) | 8.67034e11 | 2.01124 | ||||||||
\(386\) | 7.48035e10 | 0.171506 | ||||||||
\(387\) | −6.46840e10 | + | 2.37350e10i | −0.146588 | + | 0.0537886i | ||||
\(388\) | −1.23775e11 | −0.277262 | ||||||||
\(389\) | −3.10866e11 | −0.688335 | −0.344168 | − | 0.938908i | \(-0.611839\pi\) | ||||
−0.344168 | + | 0.938908i | \(0.611839\pi\) | |||||||
\(390\) | −2.66956e10 | − | 4.62381e10i | −0.0584318 | − | 0.101207i | ||||
\(391\) | 1.24745e10 | 0.0269915 | ||||||||
\(392\) | 3.09813e10 | + | 5.36612e10i | 0.0662693 | + | 0.114782i | ||||
\(393\) | 2.28191e11 | + | 3.95238e11i | 0.482538 | + | 0.835781i | ||||
\(394\) | 4.82138e10 | − | 8.35087e10i | 0.100795 | − | 0.174582i | ||||
\(395\) | 9.47893e11 | 1.95917 | ||||||||
\(396\) | −4.37707e10 | + | 7.58130e10i | −0.0894448 | + | 0.154923i | ||||
\(397\) | −1.36772e11 | − | 2.36897e11i | −0.276338 | − | 0.478632i | 0.694134 | − | 0.719846i | \(-0.255788\pi\) |
−0.970472 | + | 0.241214i | \(0.922454\pi\) | |||||||
\(398\) | 9.80155e10 | 0.195804 | ||||||||
\(399\) | −3.39845e11 | − | 5.88629e11i | −0.671279 | − | 1.16269i | ||||
\(400\) | −2.45542e11 | + | 4.25291e11i | −0.479574 | + | 0.830646i | ||||
\(401\) | 2.32914e11 | − | 4.03418e11i | 0.449827 | − | 0.779123i | −0.548548 | − | 0.836119i | \(-0.684819\pi\) |
0.998374 | + | 0.0569966i | \(0.0181524\pi\) | |||||||
\(402\) | 2.94062e10 | − | 5.09330e10i | 0.0561593 | − | 0.0972708i | ||||
\(403\) | 5.28479e10 | 0.0998057 | ||||||||
\(404\) | −2.48156e11 | + | 4.29819e11i | −0.463456 | + | 0.802730i | ||||
\(405\) | 3.15653e11 | − | 5.46727e11i | 0.582991 | − | 1.00977i | ||||
\(406\) | 5.99330e10 | + | 1.03807e11i | 0.109471 | + | 0.189609i | ||||
\(407\) | −1.08373e11 | − | 1.87708e11i | −0.195771 | − | 0.339085i | ||||
\(408\) | 2.87706e10 | 0.0514018 | ||||||||
\(409\) | 5.79175e11 | 1.02342 | 0.511711 | − | 0.859158i | \(-0.329012\pi\) | ||||
0.511711 | + | 0.859158i | \(0.329012\pi\) | |||||||
\(410\) | −6.19618e10 | − | 1.07321e11i | −0.108292 | − | 0.187567i | ||||
\(411\) | −2.25317e11 | − | 3.90261e11i | −0.389499 | − | 0.674631i | ||||
\(412\) | −4.09480e11 | + | 7.09241e11i | −0.700157 | + | 1.21271i | ||||
\(413\) | −3.48129e9 | + | 6.02977e9i | −0.00588796 | + | 0.0101982i | ||||
\(414\) | −1.90718e9 | −0.00319073 | ||||||||
\(415\) | −2.88964e11 | + | 5.00501e11i | −0.478220 | + | 0.828302i | ||||
\(416\) | 7.95957e10 | − | 1.37864e11i | 0.130307 | − | 0.225699i | ||||
\(417\) | −1.29503e11 | + | 2.24305e11i | −0.209733 | + | 0.363268i | ||||
\(418\) | 6.47117e10 | + | 1.12084e11i | 0.103679 | + | 0.179577i | ||||
\(419\) | 2.09321e11 | 0.331779 | 0.165889 | − | 0.986144i | \(-0.446951\pi\) | ||||
0.165889 | + | 0.986144i | \(0.446951\pi\) | |||||||
\(420\) | −4.92416e11 | − | 8.52890e11i | −0.772165 | − | 1.33743i | ||||
\(421\) | 2.80163e11 | − | 4.85256e11i | 0.434651 | − | 0.752838i | −0.562616 | − | 0.826718i | \(-0.690205\pi\) |
0.997267 | + | 0.0738807i | \(0.0235384\pi\) | |||||||
\(422\) | −1.52898e11 | −0.234691 | ||||||||
\(423\) | 6.48860e10 | − | 1.12386e11i | 0.0985415 | − | 0.170679i | ||||
\(424\) | −6.07911e10 | − | 1.05293e11i | −0.0913469 | − | 0.158217i | ||||
\(425\) | −6.65887e10 | − | 1.15335e11i | −0.0990035 | − | 0.171479i | ||||
\(426\) | 1.41166e11 | 0.207676 | ||||||||
\(427\) | 6.55541e11 | + | 1.13543e12i | 0.954276 | + | 1.65286i | ||||
\(428\) | 5.95580e10 | 0.0857914 | ||||||||
\(429\) | 4.61026e11 | 0.657154 | ||||||||
\(430\) | −2.52492e10 | + | 1.45421e11i | −0.0356156 | + | 0.205125i | ||||
\(431\) | 8.11588e11 | 1.13289 | 0.566445 | − | 0.824100i | \(-0.308318\pi\) | ||||
0.566445 | + | 0.824100i | \(0.308318\pi\) | |||||||
\(432\) | 7.19788e11 | 0.994323 | ||||||||
\(433\) | 6.10793e11 | + | 1.05792e12i | 0.835023 | + | 1.44630i | 0.894011 | + | 0.448044i | \(0.147879\pi\) |
−0.0589881 | + | 0.998259i | \(0.518787\pi\) | |||||||
\(434\) | −2.13277e10 | −0.0288562 | ||||||||
\(435\) | −6.04827e11 | − | 1.04759e12i | −0.809896 | − | 1.40278i | ||||
\(436\) | −1.24169e11 | − | 2.15068e11i | −0.164560 | − | 0.285027i | ||||
\(437\) | 6.44374e10 | − | 1.11609e11i | 0.0845223 | − | 0.146397i | ||||
\(438\) | −2.00573e11 | −0.260399 | ||||||||
\(439\) | −5.09515e11 | + | 8.82505e11i | −0.654736 | + | 1.13404i | 0.327224 | + | 0.944947i | \(0.393887\pi\) |
−0.981960 | + | 0.189089i | \(0.939446\pi\) | |||||||
\(440\) | 1.89578e11 | + | 3.28359e11i | 0.241130 | + | 0.417650i | ||||
\(441\) | −5.67774e10 | −0.0714828 | ||||||||
\(442\) | 6.93321e9 | + | 1.20087e10i | 0.00864041 | + | 0.0149656i | ||||
\(443\) | −4.07199e11 | + | 7.05290e11i | −0.502331 | + | 0.870063i | 0.497665 | + | 0.867369i | \(0.334191\pi\) |
−0.999996 | + | 0.00269393i | \(0.999142\pi\) | |||||||
\(444\) | −1.23097e11 | + | 2.13211e11i | −0.150323 | + | 0.260367i | ||||
\(445\) | 5.65628e11 | − | 9.79696e11i | 0.683771 | − | 1.18433i | ||||
\(446\) | 2.72869e10 | 0.0326549 | ||||||||
\(447\) | −7.21769e11 | + | 1.25014e12i | −0.855095 | + | 1.48107i | ||||
\(448\) | 4.49771e11 | − | 7.79027e11i | 0.527522 | − | 0.913695i | ||||
\(449\) | 6.14203e11 | + | 1.06383e12i | 0.713187 | + | 1.23528i | 0.963655 | + | 0.267151i | \(0.0860822\pi\) |
−0.250468 | + | 0.968125i | \(0.580585\pi\) | |||||||
\(450\) | 1.01805e10 | + | 1.76332e10i | 0.0117034 | + | 0.0202709i | ||||
\(451\) | 1.07006e12 | 1.21791 | ||||||||
\(452\) | −1.12042e11 | −0.126257 | ||||||||
\(453\) | −2.85445e10 | − | 4.94406e10i | −0.0318479 | − | 0.0551622i | ||||
\(454\) | −1.08362e11 | − | 1.87688e11i | −0.119708 | − | 0.207341i | ||||
\(455\) | 4.79847e11 | − | 8.31120e11i | 0.524870 | − | 0.909102i | ||||
\(456\) | 1.48615e11 | − | 2.57409e11i | 0.160961 | − | 0.278793i | ||||
\(457\) | −9.98953e11 | −1.07133 | −0.535664 | − | 0.844431i | \(-0.679938\pi\) | ||||
−0.535664 | + | 0.844431i | \(0.679938\pi\) | |||||||
\(458\) | −6.92564e10 | + | 1.19956e11i | −0.0735471 | + | 0.127387i | ||||
\(459\) | −9.75999e10 | + | 1.69048e11i | −0.102634 | + | 0.177768i | ||||
\(460\) | 9.33660e10 | − | 1.61715e11i | 0.0972251 | − | 0.168399i | ||||
\(461\) | −6.09583e11 | − | 1.05583e12i | −0.628606 | − | 1.08878i | −0.987832 | − | 0.155527i | \(-0.950293\pi\) |
0.359226 | − | 0.933251i | \(-0.383041\pi\) | |||||||
\(462\) | −1.86055e11 | −0.189999 | ||||||||
\(463\) | −2.10040e10 | − | 3.63799e10i | −0.0212416 | − | 0.0367915i | 0.855209 | − | 0.518283i | \(-0.173429\pi\) |
−0.876451 | + | 0.481491i | \(0.840095\pi\) | |||||||
\(464\) | 5.79229e11 | − | 1.00325e12i | 0.580122 | − | 1.00480i | ||||
\(465\) | 2.15233e11 | 0.213486 | ||||||||
\(466\) | −7.72752e10 | + | 1.33845e11i | −0.0759108 | + | 0.131481i | ||||
\(467\) | −2.62116e11 | − | 4.53998e11i | −0.255016 | − | 0.441701i | 0.709884 | − | 0.704319i | \(-0.248747\pi\) |
−0.964900 | + | 0.262618i | \(0.915414\pi\) | |||||||
\(468\) | 4.84485e10 | + | 8.39152e10i | 0.0466846 | + | 0.0808601i | ||||
\(469\) | 1.05714e12 | 1.00891 | ||||||||
\(470\) | −1.38996e11 | − | 2.40748e11i | −0.131390 | − | 0.227573i | ||||
\(471\) | −2.14903e11 | −0.201209 | ||||||||
\(472\) | −3.04476e9 | −0.00282367 | ||||||||
\(473\) | −9.78448e11 | − | 8.16659e11i | −0.898799 | − | 0.750181i | ||||
\(474\) | −2.03406e11 | −0.185081 | ||||||||
\(475\) | −1.37586e12 | −1.24009 | ||||||||
\(476\) | 1.27887e11 | + | 2.21507e11i | 0.114181 | + | 0.197768i | ||||
\(477\) | 1.11408e11 | 0.0985333 | ||||||||
\(478\) | −4.44053e10 | − | 7.69122e10i | −0.0389053 | − | 0.0673860i | ||||
\(479\) | −6.98106e11 | − | 1.20916e12i | −0.605915 | − | 1.04948i | −0.991906 | − | 0.126973i | \(-0.959474\pi\) |
0.385991 | − | 0.922502i | \(-0.373860\pi\) | |||||||
\(480\) | 3.24168e11 | − | 5.61475e11i | 0.278730 | − | 0.482775i | ||||
\(481\) | −2.39911e11 | −0.204361 | ||||||||
\(482\) | −4.04802e10 | + | 7.01137e10i | −0.0341610 | + | 0.0591686i | ||||
\(483\) | 9.26330e10 | + | 1.60445e11i | 0.0774469 | + | 0.134142i | ||||
\(484\) | −4.37848e11 | −0.362676 | ||||||||
\(485\) | −2.45615e11 | − | 4.25418e11i | −0.201566 | − | 0.349122i | ||||
\(486\) | 2.78281e10 | − | 4.81997e10i | 0.0226267 | − | 0.0391906i | ||||
\(487\) | −9.58307e11 | + | 1.65984e12i | −0.772013 | + | 1.33717i | 0.164446 | + | 0.986386i | \(0.447417\pi\) |
−0.936458 | + | 0.350779i | \(0.885917\pi\) | |||||||
\(488\) | −2.86670e11 | + | 4.96527e11i | −0.228820 | + | 0.396327i | ||||
\(489\) | 1.51700e12 | 1.19976 | ||||||||
\(490\) | −6.08129e10 | + | 1.05331e11i | −0.0476556 | + | 0.0825418i | ||||
\(491\) | −1.03276e12 | + | 1.78879e12i | −0.801921 | + | 1.38897i | 0.116429 | + | 0.993199i | \(0.462855\pi\) |
−0.918350 | + | 0.395769i | \(0.870478\pi\) | |||||||
\(492\) | −6.07722e11 | − | 1.05261e12i | −0.467587 | − | 0.809884i | ||||
\(493\) | 1.57082e11 | + | 2.72074e11i | 0.119761 | + | 0.207432i | ||||
\(494\) | 1.43255e11 | 0.108228 | ||||||||
\(495\) | −3.47428e11 | −0.260100 | ||||||||
\(496\) | 1.03062e11 | + | 1.78508e11i | 0.0764593 | + | 0.132431i | ||||
\(497\) | 1.26871e12 | + | 2.19748e12i | 0.932738 | + | 1.61555i | ||||
\(498\) | 6.20082e10 | − | 1.07401e11i | 0.0451769 | − | 0.0782488i | ||||
\(499\) | −7.51694e11 | + | 1.30197e12i | −0.542736 | + | 0.940046i | 0.456010 | + | 0.889975i | \(0.349278\pi\) |
−0.998746 | + | 0.0500716i | \(0.984055\pi\) | |||||||
\(500\) | −4.76387e10 | −0.0340875 | ||||||||
\(501\) | −9.14166e11 | + | 1.58338e12i | −0.648269 | + | 1.12284i | ||||
\(502\) | 1.62338e11 | − | 2.81178e11i | 0.114092 | − | 0.197613i | ||||
\(503\) | 1.22445e12 | − | 2.12081e12i | 0.852874 | − | 1.47722i | −0.0257294 | − | 0.999669i | \(-0.508191\pi\) |
0.878603 | − | 0.477552i | \(-0.158476\pi\) | |||||||
\(504\) | −3.95322e10 | − | 6.84718e10i | −0.0272906 | − | 0.0472688i | ||||
\(505\) | −1.96973e12 | −1.34771 | ||||||||
\(506\) | −1.76387e10 | − | 3.05512e10i | −0.0119616 | − | 0.0207181i | ||||
\(507\) | −4.28197e11 | + | 7.41659e11i | −0.287811 | + | 0.498503i | ||||
\(508\) | −2.18622e12 | −1.45649 | ||||||||
\(509\) | −3.74686e11 | + | 6.48975e11i | −0.247421 | + | 0.428546i | −0.962810 | − | 0.270181i | \(-0.912917\pi\) |
0.715388 | + | 0.698727i | \(0.246250\pi\) | |||||||
\(510\) | 2.82368e10 | + | 4.89075e10i | 0.0184820 | + | 0.0320118i | ||||
\(511\) | −1.80263e12 | − | 3.12225e12i | −1.16953 | − | 2.02569i | ||||
\(512\) | 1.04236e12 | 0.670355 | ||||||||
\(513\) | 1.00831e12 | + | 1.74645e12i | 0.642786 | + | 1.11334i | ||||
\(514\) | −2.34757e11 | −0.148349 | ||||||||
\(515\) | −3.25023e12 | −2.03602 | ||||||||
\(516\) | −2.47645e11 | + | 1.42629e12i | −0.153782 | + | 0.885697i | ||||
\(517\) | 2.40042e12 | 1.47768 | ||||||||
\(518\) | 9.68201e10 | 0.0590856 | ||||||||
\(519\) | −7.72593e11 | − | 1.33817e12i | −0.467409 | − | 0.809577i | ||||
\(520\) | 4.19678e11 | 0.251710 | ||||||||
\(521\) | 4.90095e11 | + | 8.48869e11i | 0.291414 | + | 0.504744i | 0.974144 | − | 0.225927i | \(-0.0725409\pi\) |
−0.682730 | + | 0.730670i | \(0.739208\pi\) | |||||||
\(522\) | −2.40157e10 | − | 4.15963e10i | −0.0141572 | − | 0.0245210i | ||||
\(523\) | 1.03015e12 | − | 1.78427e12i | 0.602062 | − | 1.04280i | −0.390446 | − | 0.920626i | \(-0.627679\pi\) |
0.992508 | − | 0.122176i | \(-0.0389873\pi\) | |||||||
\(524\) | −1.77427e12 | −1.02808 | ||||||||
\(525\) | 9.88949e11 | − | 1.71291e12i | 0.568142 | − | 0.984051i | ||||
\(526\) | 5.40875e9 | + | 9.36822e9i | 0.00308078 | + | 0.00533607i | ||||
\(527\) | −5.58989e10 | −0.0315686 | ||||||||
\(528\) | 8.99073e11 | + | 1.55724e12i | 0.503434 | + | 0.871973i | ||||
\(529\) | 8.83012e11 | − | 1.52942e12i | 0.490248 | − | 0.849135i | ||||
\(530\) | 1.19326e11 | − | 2.06679e11i | 0.0656894 | − | 0.113777i | ||||
\(531\) | 1.39498e9 | − | 2.41618e9i | 0.000761453 | − | 0.00131888i | ||||
\(532\) | 2.64242e12 | 1.43021 | ||||||||
\(533\) | 5.92211e11 | − | 1.02574e12i | 0.317836 | − | 0.550509i | ||||
\(534\) | −1.21377e11 | + | 2.10231e11i | −0.0645951 | + | 0.111882i | ||||
\(535\) | 1.18185e11 | + | 2.04702e11i | 0.0623691 | + | 0.108027i | ||||
\(536\) | 2.31145e11 | + | 4.00355e11i | 0.120960 | + | 0.209510i | ||||
\(537\) | −1.71877e12 | −0.891936 | ||||||||
\(538\) | 2.33090e11 | 0.119951 | ||||||||
\(539\) | −5.25111e11 | − | 9.09519e11i | −0.267980 | − | 0.464154i | ||||
\(540\) | 1.46098e12 | + | 2.53050e12i | 0.739390 | + | 1.28066i | ||||
\(541\) | −1.10446e11 | + | 1.91298e11i | −0.0554323 | + | 0.0960115i | −0.892410 | − | 0.451225i | \(-0.850987\pi\) |
0.836978 | + | 0.547237i | \(0.184320\pi\) | |||||||
\(542\) | −1.31012e11 | + | 2.26920e11i | −0.0652101 | + | 0.112947i | ||||
\(543\) | 1.47301e12 | 0.727121 | ||||||||
\(544\) | −8.41908e10 | + | 1.45823e11i | −0.0412163 | + | 0.0713888i | ||||
\(545\) | 4.92794e11 | − | 8.53545e11i | 0.239266 | − | 0.414421i | ||||
\(546\) | −1.02969e11 | + | 1.78348e11i | −0.0495839 | + | 0.0858819i | ||||
\(547\) | −1.62562e11 | − | 2.81566e11i | −0.0776384 | − | 0.134474i | 0.824592 | − | 0.565728i | \(-0.191405\pi\) |
−0.902231 | + | 0.431254i | \(0.858071\pi\) | |||||||
\(548\) | 1.75192e12 | 0.829855 | ||||||||
\(549\) | −2.62681e11 | − | 4.54976e11i | −0.123411 | − | 0.213753i | ||||
\(550\) | −1.88311e11 | + | 3.26164e11i | −0.0877492 | + | 0.151986i | ||||
\(551\) | 3.24564e12 | 1.50009 | ||||||||
\(552\) | −4.05087e10 | + | 7.01632e10i | −0.0185705 | + | 0.0321650i | ||||
\(553\) | −1.82809e12 | − | 3.16634e12i | −0.831255 | − | 1.43978i | ||||
\(554\) | −1.58973e11 | − | 2.75349e11i | −0.0717016 | − | 0.124191i | ||||
\(555\) | −9.77080e11 | −0.437131 | ||||||||
\(556\) | −5.03466e11 | − | 8.72029e11i | −0.223426 | − | 0.386985i | ||||
\(557\) | 9.38950e11 | 0.413327 | 0.206664 | − | 0.978412i | \(-0.433739\pi\) | ||||
0.206664 | + | 0.978412i | \(0.433739\pi\) | |||||||
\(558\) | 8.54618e9 | 0.00373180 | ||||||||
\(559\) | −1.32434e12 | + | 4.85951e11i | −0.573649 | + | 0.210494i | ||||
\(560\) | 3.74311e12 | 1.60837 | ||||||||
\(561\) | −4.87641e11 | −0.207858 | ||||||||
\(562\) | −1.22746e11 | − | 2.12603e11i | −0.0519032 | − | 0.0898990i | ||||
\(563\) | 1.03527e12 | 0.434278 | 0.217139 | − | 0.976141i | \(-0.430328\pi\) | ||||
0.217139 | + | 0.976141i | \(0.430328\pi\) | |||||||
\(564\) | −1.36327e12 | − | 2.36126e12i | −0.567318 | − | 0.982624i | ||||
\(565\) | −2.22331e11 | − | 3.85089e11i | −0.0917873 | − | 0.158980i | ||||
\(566\) | 2.62914e11 | − | 4.55380e11i | 0.107681 | − | 0.186509i | ||||
\(567\) | −2.43505e12 | −0.989428 | ||||||||
\(568\) | −5.54813e11 | + | 9.60964e11i | −0.223655 | + | 0.387382i | ||||
\(569\) | 1.16668e12 | + | 2.02076e12i | 0.466603 | + | 0.808181i | 0.999272 | − | 0.0381429i | \(-0.0121442\pi\) |
−0.532669 | + | 0.846324i | \(0.678811\pi\) | |||||||
\(570\) | 5.83432e11 | 0.231501 | ||||||||
\(571\) | −5.13562e11 | − | 8.89515e11i | −0.202176 | − | 0.350180i | 0.747053 | − | 0.664764i | \(-0.231468\pi\) |
−0.949229 | + | 0.314585i | \(0.898135\pi\) | |||||||
\(572\) | −8.96161e11 | + | 1.55220e12i | −0.350029 | + | 0.606268i | ||||
\(573\) | −3.00374e11 | + | 5.20263e11i | −0.116404 | + | 0.201617i | ||||
\(574\) | −2.38997e11 | + | 4.13954e11i | −0.0918942 | + | 0.159166i | ||||
\(575\) | 3.75025e11 | 0.143072 | ||||||||
\(576\) | −1.80227e11 | + | 3.12163e11i | −0.0682212 | + | 0.118163i | ||||
\(577\) | −2.18534e12 | + | 3.78512e12i | −0.820781 | + | 1.42163i | 0.0843199 | + | 0.996439i | \(0.473128\pi\) |
−0.905101 | + | 0.425196i | \(0.860205\pi\) | |||||||
\(578\) | 1.88983e11 | + | 3.27329e11i | 0.0704284 | + | 0.121986i | ||||
\(579\) | 1.45588e12 | + | 2.52165e12i | 0.538358 | + | 0.932464i | ||||
\(580\) | 4.70275e12 | 1.72554 | ||||||||
\(581\) | 2.22917e12 | 0.811614 | ||||||||
\(582\) | 5.27059e10 | + | 9.12894e10i | 0.0190417 | + | 0.0329812i | ||||
\(583\) | 1.03037e12 | + | 1.78465e12i | 0.369388 | + | 0.639800i | ||||
\(584\) | 7.88296e11 | − | 1.36537e12i | 0.280434 | − | 0.485727i | ||||
\(585\) | −1.92279e11 | + | 3.33037e11i | −0.0678782 | + | 0.117568i | ||||
\(586\) | −1.07331e11 | −0.0375998 | ||||||||
\(587\) | 3.99960e11 | − | 6.92751e11i | 0.139042 | − | 0.240827i | −0.788092 | − | 0.615557i | \(-0.788931\pi\) |
0.927134 | + | 0.374730i | \(0.122264\pi\) | |||||||
\(588\) | −5.96454e11 | + | 1.03309e12i | −0.205769 | + | 0.356402i | ||||
\(589\) | −2.88747e11 | + | 5.00125e11i | −0.0988552 | + | 0.171222i | ||||
\(590\) | −2.98826e9 | − | 5.17583e9i | −0.00101528 | − | 0.00175851i | ||||
\(591\) | 3.75348e12 | 1.26558 | ||||||||
\(592\) | −4.67864e11 | − | 8.10365e11i | −0.156557 | − | 0.271165i | ||||
\(593\) | 3.80940e11 | − | 6.59807e11i | 0.126506 | − | 0.219114i | −0.795815 | − | 0.605540i | \(-0.792957\pi\) |
0.922321 | + | 0.386426i | \(0.126290\pi\) | |||||||
\(594\) | 5.52019e11 | 0.181935 | ||||||||
\(595\) | −5.07549e11 | + | 8.79101e11i | −0.166017 | + | 0.287549i | ||||
\(596\) | −2.80601e12 | − | 4.86015e12i | −0.910921 | − | 1.57776i | ||||
\(597\) | 1.90765e12 | + | 3.30414e12i | 0.614629 | + | 1.06457i | ||||
\(598\) | −3.90476e10 | −0.0124865 | ||||||||
\(599\) | −2.05726e12 | − | 3.56328e12i | −0.652932 | − | 1.13091i | −0.982408 | − | 0.186748i | \(-0.940205\pi\) |
0.329476 | − | 0.944164i | \(-0.393128\pi\) | |||||||
\(600\) | 8.64941e11 | 0.272462 | ||||||||
\(601\) | 2.03751e11 | 0.0637038 | 0.0318519 | − | 0.999493i | \(-0.489860\pi\) | ||||
0.0318519 | + | 0.999493i | \(0.489860\pi\) | |||||||
\(602\) | 5.34460e11 | − | 1.96114e11i | 0.165856 | − | 0.0608589i | ||||
\(603\) | −4.23605e11 | −0.130477 | ||||||||
\(604\) | 2.21944e11 | 0.0678544 | ||||||||
\(605\) | −8.68850e11 | − | 1.50489e12i | −0.263661 | − | 0.456674i | ||||
\(606\) | 4.22679e11 | 0.127316 | ||||||||
\(607\) | 1.52177e12 | + | 2.63578e12i | 0.454987 | + | 0.788061i | 0.998687 | − | 0.0512188i | \(-0.0163106\pi\) |
−0.543700 | + | 0.839279i | \(0.682977\pi\) | |||||||
\(608\) | 8.69780e11 | + | 1.50650e12i | 0.258133 | + | 0.447099i | ||||
\(609\) | −2.33291e12 | + | 4.04073e12i | −0.687260 | + | 1.19037i | ||||
\(610\) | −1.12540e12 | −0.329097 | ||||||||
\(611\) | 1.32848e12 | − | 2.30099e12i | 0.385628 | − | 0.667927i | ||||
\(612\) | −5.12455e10 | − | 8.87597e10i | −0.0147664 | − | 0.0255761i | ||||
\(613\) | −1.07371e12 | −0.307126 | −0.153563 | − | 0.988139i | \(-0.549075\pi\) | ||||
−0.153563 | + | 0.988139i | \(0.549075\pi\) | |||||||
\(614\) | −4.24970e11 | − | 7.36069e11i | −0.120670 | − | 0.209007i | ||||
\(615\) | 2.41188e12 | − | 4.17751e12i | 0.679858 | − | 1.17755i | ||||
\(616\) | 7.31235e11 | − | 1.26654e12i | 0.204618 | − | 0.354409i | ||||
\(617\) | 1.42372e12 | − | 2.46595e12i | 0.395495 | − | 0.685018i | −0.597669 | − | 0.801743i | \(-0.703906\pi\) |
0.993164 | + | 0.116725i | \(0.0372396\pi\) | |||||||
\(618\) | 6.97459e11 | 0.192341 | ||||||||
\(619\) | −3.13779e12 | + | 5.43481e12i | −0.859045 | + | 1.48791i | 0.0137951 | + | 0.999905i | \(0.495609\pi\) |
−0.872841 | + | 0.488006i | \(0.837725\pi\) | |||||||
\(620\) | −4.18378e11 | + | 7.24653e11i | −0.113712 | + | 0.196955i | ||||
\(621\) | −2.74840e11 | − | 4.76036e11i | −0.0741596 | − | 0.128448i | ||||
\(622\) | 4.57649e11 | + | 7.92671e11i | 0.122596 | + | 0.212342i | ||||
\(623\) | −4.36344e12 | −1.16047 | ||||||||
\(624\) | 1.99032e12 | 0.525523 | ||||||||
\(625\) | 1.85951e12 | + | 3.22077e12i | 0.487460 | + | 0.844305i | ||||
\(626\) | −2.47244e11 | − | 4.28238e11i | −0.0643488 | − | 0.111455i | ||||
\(627\) | −2.51893e12 | + | 4.36291e12i | −0.650896 | + | 1.12738i | ||||
\(628\) | 4.17737e11 | − | 7.23542e11i | 0.107173 | − | 0.185629i | ||||
\(629\) | 2.53761e11 | 0.0646394 | ||||||||
\(630\) | 7.75974e10 | − | 1.34403e11i | 0.0196252 | − | 0.0339919i | ||||
\(631\) | 1.82503e12 | − | 3.16105e12i | 0.458288 | − | 0.793778i | −0.540583 | − | 0.841291i | \(-0.681796\pi\) |
0.998871 | + | 0.0475128i | \(0.0151295\pi\) | |||||||
\(632\) | 7.99430e11 | − | 1.38465e12i | 0.199321 | − | 0.345234i | ||||
\(633\) | −2.97581e12 | − | 5.15426e12i | −0.736697 | − | 1.27600i | ||||
\(634\) | −9.90646e11 | −0.243510 | ||||||||
\(635\) | −4.33826e12 | − | 7.51408e12i | −1.05885 | − | 1.83398i | ||||
\(636\) | 1.17036e12 | − | 2.02712e12i | 0.283636 | − | 0.491271i | ||||
\(637\) | −1.16246e12 | −0.279738 | ||||||||
\(638\) | 4.44222e11 | − | 7.69416e11i | 0.106147 | − | 0.183852i | ||||
\(639\) | −5.08384e11 | − | 8.80547e11i | −0.120625 | − | 0.208929i | ||||
\(640\) | 1.67391e12 | + | 2.89929e12i | 0.394386 | + | 0.683097i | ||||
\(641\) | −6.04811e12 | −1.41501 | −0.707504 | − | 0.706709i | \(-0.750179\pi\) | ||||
−0.707504 | + | 0.706709i | \(0.750179\pi\) | |||||||
\(642\) | −2.53610e10 | − | 4.39265e10i | −0.00589195 | − | 0.0102052i | ||||
\(643\) | −1.79919e12 | −0.415075 | −0.207538 | − | 0.978227i | \(-0.566545\pi\) | ||||
−0.207538 | + | 0.978227i | \(0.566545\pi\) | |||||||
\(644\) | −7.20256e11 | −0.165006 | ||||||||
\(645\) | −5.39361e12 | + | 1.97912e12i | −1.22705 | + | 0.450251i | ||||
\(646\) | −1.51525e11 | −0.0342325 | ||||||||
\(647\) | −2.93753e12 | −0.659043 | −0.329521 | − | 0.944148i | \(-0.606887\pi\) | ||||
−0.329521 | + | 0.944148i | \(0.606887\pi\) | |||||||
\(648\) | −5.32428e11 | − | 9.22191e11i | −0.118624 | − | 0.205463i | ||||
\(649\) | 5.16065e10 | 0.0114183 | ||||||||
\(650\) | 2.08436e11 | + | 3.61021e11i | 0.0457997 | + | 0.0793273i | ||||
\(651\) | −4.15094e11 | − | 7.18964e11i | −0.0905799 | − | 0.156889i | ||||
\(652\) | −2.94880e12 | + | 5.10747e12i | −0.639045 | + | 1.10686i | ||||
\(653\) | −3.36543e11 | −0.0724321 | −0.0362161 | − | 0.999344i | \(-0.511530\pi\) | ||||
−0.0362161 | + | 0.999344i | \(0.511530\pi\) | |||||||
\(654\) | −1.05748e11 | + | 1.83160e11i | −0.0226032 | + | 0.0391500i | ||||
\(655\) | −3.52079e12 | − | 6.09819e12i | −0.747402 | − | 1.29454i | ||||
\(656\) | 4.61962e12 | 0.973955 | ||||||||
\(657\) | 7.22329e11 | + | 1.25111e12i | 0.151248 | + | 0.261970i | ||||
\(658\) | −5.36129e11 | + | 9.28603e11i | −0.111494 | + | 0.193114i | ||||
\(659\) | −2.00374e12 | + | 3.47058e12i | −0.413863 | + | 0.716832i | −0.995308 | − | 0.0967535i | \(-0.969154\pi\) |
0.581445 | + | 0.813586i | \(0.302487\pi\) | |||||||
\(660\) | −3.64978e12 | + | 6.32160e12i | −0.748719 | + | 1.29682i | ||||
\(661\) | 8.02325e12 | 1.63472 | 0.817360 | − | 0.576127i | \(-0.195437\pi\) | ||||
0.817360 | + | 0.576127i | \(0.195437\pi\) | |||||||
\(662\) | −5.49968e11 | + | 9.52573e11i | −0.111295 | + | 0.192769i | ||||
\(663\) | −2.69878e11 | + | 4.67442e11i | −0.0542446 | + | 0.0939544i | ||||
\(664\) | 4.87411e11 | + | 8.44220e11i | 0.0973058 | + | 0.168539i | ||||
\(665\) | 5.24353e12 | + | 9.08205e12i | 1.03974 | + | 1.80089i | ||||
\(666\) | −3.87966e10 | −0.00764117 | ||||||||
\(667\) | −8.84679e11 | −0.173069 | ||||||||
\(668\) | −3.55399e12 | − | 6.15569e12i | −0.690593 | − | 1.19614i | ||||
\(669\) | 5.31077e11 | + | 9.19852e11i | 0.102504 | + | 0.177542i | ||||
\(670\) | −4.53713e11 | + | 7.85854e11i | −0.0869850 | + | 0.150663i | ||||
\(671\) | 4.85885e12 | − | 8.41578e12i | 0.925300 | − | 1.60267i | ||||
\(672\) | −2.50074e12 | −0.473049 | ||||||||
\(673\) | 1.59833e12 | − | 2.76840e12i | 0.300331 | − | 0.520188i | −0.675880 | − | 0.737012i | \(-0.736236\pi\) |
0.976211 | + | 0.216823i | \(0.0695696\pi\) | |||||||
\(674\) | 5.50499e11 | − | 9.53492e11i | 0.102751 | − | 0.177970i | ||||
\(675\) | −2.93418e12 | + | 5.08215e12i | −0.544027 | + | 0.942282i | ||||
\(676\) | −1.66469e12 | − | 2.88333e12i | −0.306601 | − | 0.531049i | ||||
\(677\) | 1.43080e11 | 0.0261777 | 0.0130888 | − | 0.999914i | \(-0.495834\pi\) | ||||
0.0130888 | + | 0.999914i | \(0.495834\pi\) | |||||||
\(678\) | 4.77095e10 | + | 8.26353e10i | 0.00867105 | + | 0.0150187i | ||||
\(679\) | −9.47377e11 | + | 1.64091e12i | −0.171044 | + | 0.296258i | ||||
\(680\) | −4.43906e11 | −0.0796161 | ||||||||
\(681\) | 4.21802e12 | − | 7.30583e12i | 0.751531 | − | 1.30169i | ||||
\(682\) | 7.90402e10 | + | 1.36902e11i | 0.0139900 | + | 0.0242314i | ||||
\(683\) | 3.26498e12 | + | 5.65510e12i | 0.574099 | + | 0.994369i | 0.996139 | + | 0.0877913i | \(0.0279809\pi\) |
−0.422040 | + | 0.906577i | \(0.638686\pi\) | |||||||
\(684\) | −1.05884e12 | −0.184960 | ||||||||
\(685\) | 3.47645e12 | + | 6.02139e12i | 0.603294 | + | 1.04494i | ||||
\(686\) | −5.55622e11 | −0.0957902 | ||||||||
\(687\) | −5.39166e12 | −0.923459 | ||||||||
\(688\) | −4.22411e12 | − | 3.52564e12i | −0.718765 | − | 0.599915i | ||||
\(689\) | 2.28097e12 | 0.385596 | ||||||||
\(690\) | −1.59028e11 | −0.0267088 | ||||||||
\(691\) | −4.89577e11 | − | 8.47972e11i | −0.0816902 | − | 0.141492i | 0.822286 | − | 0.569075i | \(-0.192698\pi\) |
−0.903976 | + | 0.427583i | \(0.859365\pi\) | |||||||
\(692\) | 6.00719e12 | 0.995850 | ||||||||
\(693\) | 6.70043e11 | + | 1.16055e12i | 0.110358 | + | 0.191145i | ||||
\(694\) | −8.89791e10 | − | 1.54116e11i | −0.0145603 | − | 0.0252192i | ||||
\(695\) | 1.99812e12 | − | 3.46085e12i | 0.324855 | − | 0.562666i | ||||
\(696\) | −2.04038e12 | −0.329587 | ||||||||
\(697\) | −6.26399e11 | + | 1.08496e12i | −0.100532 | + | 0.174126i | ||||
\(698\) | −4.92675e11 | − | 8.53338e11i | −0.0785618 | − | 0.136073i | ||||
\(699\) | −6.01593e12 | −0.953137 | ||||||||
\(700\) | 3.84472e12 | + | 6.65925e12i | 0.605234 | + | 1.04830i | ||||
\(701\) | 3.03652e12 | − | 5.25941e12i | 0.474947 | − | 0.822633i | −0.524641 | − | 0.851323i | \(-0.675801\pi\) |
0.999588 | + | 0.0286909i | \(0.00913384\pi\) | |||||||
\(702\) | 3.05507e11 | − | 5.29154e11i | 0.0474793 | − | 0.0822365i | ||||
\(703\) | 1.31081e12 | − | 2.27039e12i | 0.202414 | − | 0.350592i | ||||
\(704\) | −6.66739e12 | −1.02301 | ||||||||
\(705\) | 5.41046e12 | − | 9.37119e12i | 0.824865 | − | 1.42871i | ||||
\(706\) | −8.25227e11 | + | 1.42933e12i | −0.125012 | + | 0.216527i | ||||
\(707\) | 3.79878e12 | + | 6.57969e12i | 0.571817 | + | 0.990416i | ||||
\(708\) | −2.93090e10 | − | 5.07646e10i | −0.00438380 | − | 0.00759296i | ||||
\(709\) | −4.83123e12 | −0.718041 | −0.359021 | − | 0.933330i | \(-0.616889\pi\) | ||||
−0.359021 | + | 0.933330i | \(0.616889\pi\) | |||||||
\(710\) | −2.17807e12 | −0.321670 | ||||||||
\(711\) | 7.32531e11 | + | 1.26878e12i | 0.107501 | + | 0.186197i | ||||
\(712\) | −9.54072e11 | − | 1.65250e12i | −0.139130 | − | 0.240981i | ||||
\(713\) | 7.87051e10 | − | 1.36321e11i | 0.0114051 | − | 0.0197543i | ||||
\(714\) | 1.08914e11 | − | 1.88644e11i | 0.0156834 | − | 0.0271645i | ||||
\(715\) | −7.11324e12 | −1.01787 | ||||||||
\(716\) | 3.34102e12 | − | 5.78682e12i | 0.475084 | − | 0.822870i | ||||
\(717\) | 1.72849e12 | − | 2.99384e12i | 0.244248 | − | 0.423050i | ||||
\(718\) | 3.15320e11 | − | 5.46149e11i | 0.0442783 | − | 0.0766922i | ||||
\(719\) | 3.05697e12 | + | 5.29482e12i | 0.426590 | + | 0.738875i | 0.996567 | − | 0.0827850i | \(-0.0263815\pi\) |
−0.569978 | + | 0.821660i | \(0.693048\pi\) | |||||||
\(720\) | −1.49990e12 | −0.208001 | ||||||||
\(721\) | 6.26834e12 | + | 1.08571e13i | 0.863861 | + | 1.49625i | ||||
\(722\) | −2.48514e11 | + | 4.30438e11i | −0.0340356 | + | 0.0589513i | ||||
\(723\) | −3.15141e12 | −0.428927 | ||||||||
\(724\) | −2.86330e12 | + | 4.95938e12i | −0.387296 | + | 0.670816i | ||||
\(725\) | 4.72241e12 | + | 8.17945e12i | 0.634808 | + | 1.09952i | ||||
\(726\) | 1.86444e11 | + | 3.22931e11i | 0.0249078 | + | 0.0431415i | ||||
\(727\) | −2.01339e12 | −0.267315 | −0.133657 | − | 0.991028i | \(-0.542672\pi\) | ||||
−0.133657 | + | 0.991028i | \(0.542672\pi\) | |||||||
\(728\) | −8.09382e11 | − | 1.40189e12i | −0.106798 | − | 0.184979i | ||||
\(729\) | 8.41542e12 | 1.10358 | ||||||||
\(730\) | 3.09468e12 | 0.403332 | ||||||||
\(731\) | 1.40080e12 | − | 5.14006e11i | 0.181446 | − | 0.0665794i | ||||
\(732\) | −1.10380e13 | −1.42099 | ||||||||
\(733\) | −7.74302e11 | −0.0990701 | −0.0495351 | − | 0.998772i | \(-0.515774\pi\) | ||||
−0.0495351 | + | 0.998772i | \(0.515774\pi\) | |||||||
\(734\) | −7.97035e10 | − | 1.38051e11i | −0.0101355 | − | 0.0175552i | ||||
\(735\) | −4.73433e12 | −0.598364 | ||||||||
\(736\) | −2.37080e11 | − | 4.10634e11i | −0.0297813 | − | 0.0515828i | ||||
\(737\) | −3.91775e12 | − | 6.78574e12i | −0.489140 | − | 0.847215i | ||||
\(738\) | 9.57680e10 | − | 1.65875e11i | 0.0118841 | − | 0.0205839i | ||||
\(739\) | 1.07094e13 | 1.32089 | 0.660443 | − | 0.750876i | \(-0.270369\pi\) | ||||
0.660443 | + | 0.750876i | \(0.270369\pi\) | |||||||
\(740\) | 1.89929e12 | − | 3.28967e12i | 0.232835 | − | 0.403282i | ||||
\(741\) | 2.78813e12 | + | 4.82918e12i | 0.339727 | + | 0.588425i | ||||
\(742\) | −9.20523e11 | −0.111485 | ||||||||
\(743\) | 5.78075e12 | + | 1.00126e13i | 0.695880 | + | 1.20530i | 0.969883 | + | 0.243571i | \(0.0783189\pi\) |
−0.274003 | + | 0.961729i | \(0.588348\pi\) | |||||||
\(744\) | 1.81522e11 | − | 3.14405e11i | 0.0217195 | − | 0.0376194i | ||||
\(745\) | 1.11363e13 | − | 1.92886e13i | 1.32445 | − | 2.29402i | ||||
\(746\) | 5.83196e11 | − | 1.01013e12i | 0.0689429 | − | 0.119413i | ||||
\(747\) | −8.93245e11 | −0.104961 | ||||||||
\(748\) | 9.47897e11 | − | 1.64181e12i | 0.110714 | − | 0.191763i | ||||
\(749\) | 4.55858e11 | − | 7.89570e11i | 0.0529251 | − | 0.0916690i | ||||
\(750\) | 2.02855e10 | + | 3.51355e10i | 0.00234105 | + | 0.00405481i | ||||
\(751\) | 1.21049e12 | + | 2.09664e12i | 0.138862 | + | 0.240516i | 0.927066 | − | 0.374898i | \(-0.122322\pi\) |
−0.788204 | + | 0.615414i | \(0.788989\pi\) | |||||||
\(752\) | 1.03630e13 | 1.18169 | ||||||||
\(753\) | 1.26382e13 | 1.43254 | ||||||||
\(754\) | −4.91697e11 | − | 8.51644e11i | −0.0554021 | − | 0.0959593i | ||||
\(755\) | 4.40418e11 | + | 7.62827e11i | 0.0493292 | + | 0.0854407i | ||||
\(756\) | 5.63526e12 | − | 9.76055e12i | 0.627430 | − | 1.08674i | ||||
\(757\) | 4.24296e11 | − | 7.34903e11i | 0.0469611 | − | 0.0813389i | −0.841589 | − | 0.540118i | \(-0.818380\pi\) |
0.888550 | + | 0.458779i | \(0.151713\pi\) | |||||||
\(758\) | 9.79554e11 | 0.107775 | ||||||||
\(759\) | 6.86594e11 | − | 1.18922e12i | 0.0750952 | − | 0.130069i | ||||
\(760\) | −2.29301e12 | + | 3.97161e12i | −0.249313 | + | 0.431823i | ||||
\(761\) | −1.23868e12 | + | 2.14545e12i | −0.133884 | + | 0.231893i | −0.925170 | − | 0.379552i | \(-0.876078\pi\) |
0.791287 | + | 0.611445i | \(0.209412\pi\) | |||||||
\(762\) | 9.30937e11 | + | 1.61243e12i | 0.100028 | + | 0.173254i | ||||
\(763\) | −3.80158e12 | −0.406072 | ||||||||
\(764\) | −1.16776e12 | − | 2.02262e12i | −0.124003 | − | 0.214780i | ||||
\(765\) | 2.03379e11 | − | 3.52263e11i | 0.0214699 | − | 0.0371870i | ||||
\(766\) | −1.81456e12 | −0.190433 | ||||||||
\(767\) | 2.85609e10 | − | 4.94689e10i | 0.00297984 | − | 0.00516123i | ||||
\(768\) | 3.51027e12 | + | 6.07997e12i | 0.364095 | + | 0.630632i | ||||
\(769\) | −2.49877e12 | − | 4.32799e12i | −0.257666 | − | 0.446291i | 0.707950 | − | 0.706262i | \(-0.249620\pi\) |
−0.965616 | + | 0.259972i | \(0.916287\pi\) | |||||||
\(770\) | 2.87067e12 | 0.294290 | ||||||||
\(771\) | −4.56900e12 | − | 7.91374e12i | −0.465668 | − | 0.806561i | ||||
\(772\) | −1.13200e13 | −1.14701 | ||||||||
\(773\) | −4.22496e12 | −0.425613 | −0.212806 | − | 0.977094i | \(-0.568260\pi\) | ||||
−0.212806 | + | 0.977094i | \(0.568260\pi\) | |||||||
\(774\) | −2.14163e11 | + | 7.85845e10i | −0.0214491 | + | 0.00787050i | ||||
\(775\) | −1.68051e12 | −0.167334 | ||||||||
\(776\) | −8.28582e11 | −0.0820272 | ||||||||
\(777\) | 1.88438e12 | + | 3.26384e12i | 0.185470 | + | 0.321244i | ||||
\(778\) | −1.02925e12 | −0.100719 | ||||||||
\(779\) | 6.47137e12 | + | 1.12087e13i | 0.629619 | + | 1.09053i | ||||
\(780\) | 4.03983e12 | + | 6.99720e12i | 0.390785 | + | 0.676859i | ||||
\(781\) | 9.40368e12 | − | 1.62877e13i | 0.904416 | − | 1.56649i | ||||
\(782\) | 4.13019e10 | 0.00394947 | ||||||||
\(783\) | 6.92169e12 | − | 1.19887e13i | 0.658089 | − | 1.13984i | ||||
\(784\) | −2.26698e12 | − | 3.92653e12i | −0.214302 | − | 0.371182i | ||||
\(785\) | 3.31577e12 | 0.311653 | ||||||||
\(786\) | 7.55518e11 | + | 1.30860e12i | 0.0706063 | + | 0.122294i | ||||
\(787\) | −3.69253e12 | + | 6.39565e12i | −0.343114 | + | 0.594290i | −0.985009 | − | 0.172502i | \(-0.944815\pi\) |
0.641895 | + | 0.766792i | \(0.278148\pi\) | |||||||
\(788\) | −7.29616e12 | + | 1.26373e13i | −0.674104 | + | 1.16758i | ||||
\(789\) | −2.10537e11 | + | 3.64662e11i | −0.0193412 | + | 0.0334999i | ||||
\(790\) | 3.13839e12 | 0.286672 | ||||||||
\(791\) | −8.57568e11 | + | 1.48535e12i | −0.0778887 | + | 0.134907i | ||||
\(792\) | −2.93012e11 | + | 5.07511e11i | −0.0264620 | + | 0.0458334i | ||||
\(793\) | −5.37812e12 | − | 9.31519e12i | −0.482949 | − | 0.836493i | ||||
\(794\) | −4.52841e11 | − | 7.84343e11i | −0.0404346 | − | 0.0700348i | ||||
\(795\) | 9.28965e12 | 0.824797 | ||||||||
\(796\) | −1.48326e13 | −1.30951 | ||||||||
\(797\) | 5.13000e12 | + | 8.88542e12i | 0.450355 | + | 0.780037i | 0.998408 | − | 0.0564063i | \(-0.0179642\pi\) |
−0.548053 | + | 0.836443i | \(0.684631\pi\) | |||||||
\(798\) | −1.12520e12 | − | 1.94890e12i | −0.0982234 | − | 0.170128i | ||||
\(799\) | −1.40517e12 | + | 2.43383e12i | −0.121974 | + | 0.211266i | ||||
\(800\) | −2.53106e12 | + | 4.38392e12i | −0.218473 | + | 0.378406i | ||||
\(801\) | 1.74847e12 | 0.150076 | ||||||||
\(802\) | 7.71155e11 | − | 1.33568e12i | 0.0658199 | − | 0.114003i | ||||
\(803\) | −1.33611e13 | + | 2.31420e13i | −1.13402 | + | 1.96418i | ||||
\(804\) | −4.45003e12 | + | 7.70767e12i | −0.375587 | + | 0.650536i | ||||
\(805\) | −1.42925e12 | − | 2.47553e12i | −0.119957 | − | 0.207772i | ||||
\(806\) | 1.74975e11 | 0.0146038 | ||||||||
\(807\) | 4.53656e12 | + | 7.85756e12i | 0.376527 | + | 0.652164i | ||||
\(808\) | −1.66122e12 | + | 2.87732e12i | −0.137112 | + | 0.237485i | ||||
\(809\) | −1.79918e13 | −1.47675 | −0.738373 | − | 0.674392i | \(-0.764406\pi\) | ||||
−0.738373 | + | 0.674392i | \(0.764406\pi\) | |||||||
\(810\) | 1.04510e12 | − | 1.81016e12i | 0.0853049 | − | 0.147752i | ||||
\(811\) | 6.48471e12 | + | 1.12318e13i | 0.526377 | + | 0.911711i | 0.999528 | + | 0.0307299i | \(0.00978316\pi\) |
−0.473151 | + | 0.880981i | \(0.656884\pi\) | |||||||
\(812\) | −9.06963e12 | − | 1.57091e13i | −0.732129 | − | 1.26808i | ||||
\(813\) | −1.01994e13 | −0.818780 | ||||||||
\(814\) | −3.58814e11 | − | 6.21485e11i | −0.0286457 | − | 0.0496159i | ||||
\(815\) | −2.34060e13 | −1.85831 | ||||||||
\(816\) | −2.10522e12 | −0.166223 | ||||||||
\(817\) | 2.63706e12 | − | 1.51880e13i | 0.207072 | − | 1.19262i | ||||
\(818\) | 1.91759e12 | 0.149750 | ||||||||
\(819\) | 1.48330e12 | 0.115200 | ||||||||
\(820\) | 9.37664e12 | + | 1.62408e13i | 0.724244 | + | 1.25443i | ||||
\(821\) | −4.90442e12 | −0.376741 | −0.188371 | − | 0.982098i | \(-0.560321\pi\) | ||||
−0.188371 | + | 0.982098i | \(0.560321\pi\) | |||||||
\(822\) | −7.46004e11 | − | 1.29212e12i | −0.0569925 | − | 0.0987139i | ||||
\(823\) | 2.16039e12 | + | 3.74190e12i | 0.164147 | + | 0.284311i | 0.936352 | − | 0.351063i | \(-0.114180\pi\) |
−0.772205 | + | 0.635373i | \(0.780846\pi\) | |||||||
\(824\) | −2.74116e12 | + | 4.74784e12i | −0.207139 | + | 0.358776i | ||||
\(825\) | −1.46601e13 | −1.10178 | ||||||||
\(826\) | −1.15262e10 | + | 1.99640e10i | −0.000861543 | + | 0.00149224i | ||||
\(827\) | 3.45021e12 | + | 5.97593e12i | 0.256490 | + | 0.444254i | 0.965299 | − | 0.261147i | \(-0.0841006\pi\) |
−0.708809 | + | 0.705400i | \(0.750767\pi\) | |||||||
\(828\) | 2.88613e11 | 0.0213392 | ||||||||
\(829\) | −7.28021e12 | − | 1.26097e13i | −0.535363 | − | 0.927277i | −0.999146 | − | 0.0413275i | \(-0.986841\pi\) |
0.463782 | − | 0.885949i | \(-0.346492\pi\) | |||||||
\(830\) | −9.56734e11 | + | 1.65711e12i | −0.0699745 | + | 0.121199i | ||||
\(831\) | 6.18807e12 | − | 1.07181e13i | 0.450143 | − | 0.779671i | ||||
\(832\) | −3.68997e12 | + | 6.39122e12i | −0.266974 | + | 0.462412i | ||||
\(833\) | 1.22957e12 | 0.0884812 | ||||||||
\(834\) | −4.28772e11 | + | 7.42654e11i | −0.0306887 | + | 0.0531544i | ||||
\(835\) | 1.41048e13 | − | 2.44303e13i | 1.00410 | − | 1.73916i | ||||
\(836\) | −9.79279e12 | − | 1.69616e13i | −0.693391 | − | 1.20099i | ||||
\(837\) | 1.23157e12 | + | 2.13315e12i | 0.0867352 | + | 0.150230i | ||||
\(838\) | 6.93041e11 | 0.0485468 | ||||||||
\(839\) | −3.65509e12 | −0.254665 | −0.127332 | − | 0.991860i | \(-0.540641\pi\) | ||||
−0.127332 | + | 0.991860i | \(0.540641\pi\) | |||||||
\(840\) | −3.29636e12 | − | 5.70946e12i | −0.228443 | − | 0.395674i | ||||
\(841\) | −3.88651e12 | − | 6.73163e12i | −0.267903 | − | 0.464022i | ||||
\(842\) | 9.27592e11 | − | 1.60664e12i | 0.0635993 | − | 0.110157i | ||||
\(843\) | 4.77794e12 | − | 8.27563e12i | 0.325849 | − | 0.564387i | ||||
\(844\) | 2.31380e13 | 1.56959 | ||||||||
\(845\) | 6.60672e12 | − | 1.14432e13i | 0.445790 | − | 0.772131i | ||||
\(846\) | 2.14831e11 | − | 3.72099e11i | 0.0144189 | − | 0.0249742i | ||||
\(847\) | −3.35130e12 | + | 5.80462e12i | −0.223737 | + | 0.387524i | ||||
\(848\) | 4.44825e12 | + | 7.70459e12i | 0.295398 | + | 0.511644i | ||||
\(849\) | 2.04680e13 | 1.35205 | ||||||||
\(850\) | −2.20469e11 | − | 3.81863e11i | −0.0144865 | − | 0.0250913i | ||||
\(851\) | −3.57293e11 | + | 6.18850e11i | −0.0233530 | + | 0.0404485i | ||||
\(852\) | −2.13626e13 | −1.38892 | ||||||||
\(853\) | −3.52210e11 | + | 6.10046e11i | −0.0227788 | + | 0.0394541i | −0.877190 | − | 0.480143i | \(-0.840585\pi\) |
0.854411 | + | 0.519597i | \(0.173918\pi\) | |||||||
\(854\) | 2.17043e12 | + | 3.75930e12i | 0.139632 | + | 0.241850i | ||||
\(855\) | −2.10112e12 | − | 3.63925e12i | −0.134463 | − | 0.232898i | ||||
\(856\) | 3.98697e11 | 0.0253811 | ||||||||
\(857\) | −7.24377e12 | − | 1.25466e13i | −0.458724 | − | 0.794533i | 0.540170 | − | 0.841556i | \(-0.318360\pi\) |
−0.998894 | + | 0.0470232i | \(0.985027\pi\) | |||||||
\(858\) | 1.52641e12 | 0.0961566 | ||||||||
\(859\) | 1.44233e13 | 0.903848 | 0.451924 | − | 0.892057i | \(-0.350738\pi\) | ||||
0.451924 | + | 0.892057i | \(0.350738\pi\) | |||||||
\(860\) | 3.82095e12 | − | 2.20065e13i | 0.238193 | − | 1.37185i | ||||
\(861\) | −1.86061e13 | −1.15383 | ||||||||
\(862\) | 2.68709e12 | 0.165768 | ||||||||
\(863\) | −1.45109e12 | − | 2.51336e12i | −0.0890525 | − | 0.154243i | 0.818058 | − | 0.575135i | \(-0.195051\pi\) |
−0.907111 | + | 0.420892i | \(0.861717\pi\) | |||||||
\(864\) | 7.41961e12 | 0.452970 | ||||||||
\(865\) | 1.19205e13 | + | 2.06468e13i | 0.723970 | + | 1.25395i | ||||
\(866\) | 2.02228e12 | + | 3.50269e12i | 0.122183 | + | 0.211627i | ||||
\(867\) | −7.35624e12 | + | 1.27414e13i | −0.442150 | + | 0.765827i | ||||
\(868\) | 3.22751e12 | 0.192987 | ||||||||
\(869\) | −1.35498e13 | + | 2.34689e13i | −0.806015 | + | 1.39606i | ||||
\(870\) | −2.00252e12 | − | 3.46847e12i | −0.118506 | − | 0.205259i | ||||
\(871\) | −8.67288e12 | −0.510601 | ||||||||
\(872\) | −8.31221e11 | − | 1.43972e12i | −0.0486847 | − | 0.0843243i | ||||
\(873\) | 3.79622e11 | − | 6.57525e11i | 0.0221201 | − | 0.0383132i | ||||
\(874\) | 2.13346e11 | − | 3.69526e11i | 0.0123675 | − | 0.0214212i | ||||
\(875\) | −3.64628e11 | + | 6.31553e11i | −0.0210287 | + | 0.0364228i | ||||
\(876\) | 3.03527e13 | 1.74152 | ||||||||
\(877\) | 5.76160e11 | − | 9.97938e11i | 0.0328886 | − | 0.0569647i | −0.849113 | − | 0.528212i | \(-0.822863\pi\) |
0.882001 | + | 0.471247i | \(0.156196\pi\) | |||||||
\(878\) | −1.68696e12 | + | 2.92189e12i | −0.0958028 | + | 0.165935i | ||||
\(879\) | −2.08895e12 | − | 3.61817e12i | −0.118026 | − | 0.204427i | ||||
\(880\) | −1.38719e13 | − | 2.40269e13i | −0.779768 | − | 1.35060i | ||||
\(881\) | −3.08319e13 | −1.72428 | −0.862140 | − | 0.506669i | \(-0.830877\pi\) | ||||
−0.862140 | + | 0.506669i | \(0.830877\pi\) | |||||||
\(882\) | −1.87985e11 | −0.0104596 | ||||||||
\(883\) | 3.47950e12 | + | 6.02667e12i | 0.192617 | + | 0.333622i | 0.946117 | − | 0.323826i | \(-0.104969\pi\) |
−0.753500 | + | 0.657448i | \(0.771636\pi\) | |||||||
\(884\) | −1.04920e12 | − | 1.81727e12i | −0.0577861 | − | 0.100088i | ||||
\(885\) | 1.16319e11 | − | 2.01471e11i | 0.00637393 | − | 0.0110400i | ||||
\(886\) | −1.34820e12 | + | 2.33515e12i | −0.0735025 | + | 0.127310i | ||||
\(887\) | −1.63958e13 | −0.889357 | −0.444678 | − | 0.895690i | \(-0.646682\pi\) | ||||
−0.444678 | + | 0.895690i | \(0.646682\pi\) | |||||||
\(888\) | −8.24045e11 | + | 1.42729e12i | −0.0444726 | + | 0.0770288i | ||||
\(889\) | −1.67334e13 | + | 2.89831e13i | −0.898515 | + | 1.55627i | ||||
\(890\) | 1.87274e12 | − | 3.24368e12i | 0.100051 | − | 0.173294i | ||||
\(891\) | 9.02427e12 | + | 1.56305e13i | 0.479692 | + | 0.830851i | ||||
\(892\) | −4.12932e12 | −0.218392 | ||||||||
\(893\) | 1.45169e13 | + | 2.51440e13i | 0.763910 | + | 1.32313i | ||||
\(894\) | −2.38971e12 | + | 4.13910e12i | −0.125120 | + | 0.216714i | ||||
\(895\) | 2.65192e13 | 1.38152 | ||||||||
\(896\) | 6.45654e12 | − | 1.11831e13i | 0.334668 | − | 0.579661i | ||||
\(897\) | −7.59971e11 | − | 1.31631e12i | −0.0391950 | − | 0.0678878i | ||||
\(898\) | 2.03357e12 | + | 3.52224e12i | 0.104355 | + | 0.180749i | ||||
\(899\) | 3.96429e12 | 0.202417 | ||||||||
\(900\) | −1.54061e12 | − | 2.66842e12i | −0.0782712 | − | 0.135570i | ||||
\(901\) | −2.41265e12 | −0.121964 | ||||||||
\(902\) | 3.54288e12 | 0.178208 | ||||||||
\(903\) | 1.70131e13 | + | 1.41999e13i | 0.851507 | + | 0.710708i | ||||
\(904\) | −7.50035e11 | −0.0373528 | ||||||||
\(905\) | −2.27273e13 | −1.12624 | ||||||||
\(906\) | −9.45083e10 | − | 1.63693e11i | −0.00466008 | − | 0.00807149i | ||||
\(907\) | −2.48382e13 | −1.21867 | −0.609337 | − | 0.792911i | \(-0.708564\pi\) | ||||
−0.609337 | + | 0.792911i | \(0.708564\pi\) | |||||||
\(908\) | 1.63983e13 | + | 2.84028e13i | 0.800596 | + | 1.38667i | ||||
\(909\) | −1.52220e12 | − | 2.63653e12i | −0.0739495 | − | 0.128084i | ||||
\(910\) | 1.58873e12 | − | 2.75176e12i | 0.0768005 | − | 0.133022i | ||||
\(911\) | 3.00261e13 | 1.44433 | 0.722165 | − | 0.691721i | \(-0.243147\pi\) | ||||
0.722165 | + | 0.691721i | \(0.243147\pi\) | |||||||
\(912\) | −1.08746e13 | + | 1.88353e13i | −0.520518 | + | 0.901563i | ||||
\(913\) | −8.26127e12 | − | 1.43089e13i | −0.393485 | − | 0.681536i | ||||
\(914\) | −3.30744e12 | −0.156760 | ||||||||
\(915\) | −2.19034e13 | − | 3.79378e13i | −1.03304 | − | 1.78927i | ||||
\(916\) | 1.04805e13 | − | 1.81528e13i | 0.491874 | − | 0.851951i | ||||
\(917\) | −1.35803e13 | + | 2.35217e13i | −0.634229 | + | 1.09852i | ||||
\(918\) | −3.23144e11 | + | 5.59702e11i | −0.0150177 | + | 0.0260115i | ||||
\(919\) | −1.92015e13 | −0.888005 | −0.444002 | − | 0.896026i | \(-0.646442\pi\) | ||||
−0.444002 | + | 0.896026i | \(0.646442\pi\) | |||||||
\(920\) | 6.25016e11 | − | 1.08256e12i | 0.0287638 | − | 0.0498203i | ||||
\(921\) | 1.65421e13 | − | 2.86518e13i | 0.757569 | − | 1.31215i | ||||
\(922\) | −2.01827e12 | − | 3.49575e12i | −0.0919794 | − | 0.159313i | ||||
\(923\) | −1.04087e13 | − | 1.80283e13i | −0.472049 | − | 0.817613i | ||||
\(924\) | 2.81556e13 | 1.27069 | ||||||||
\(925\) | 7.62892e12 | 0.342630 | ||||||||
\(926\) | −6.95422e10 | − | 1.20451e11i | −0.00310813 | − | 0.00538343i | ||||
\(927\) | −2.51178e12 | − | 4.35052e12i | −0.111718 | − | 0.193501i | ||||
\(928\) | 5.97073e12 | − | 1.03416e13i | 0.264278 | − | 0.457743i | ||||
\(929\) | 1.20090e13 | − | 2.08003e13i | 0.528978 | − | 0.916217i | −0.470451 | − | 0.882426i | \(-0.655909\pi\) |
0.999429 | − | 0.0337911i | \(-0.0107581\pi\) | |||||||
\(930\) | 7.12615e11 | 0.0312379 | ||||||||
\(931\) | 6.35139e12 | − | 1.10009e13i | 0.277073 | − | 0.479905i | ||||
\(932\) | 1.16940e13 | − | 2.02546e13i | 0.507682 | − | 0.879332i | ||||
\(933\) | −1.78142e13 | + | 3.08550e13i | −0.769658 | + | 1.33309i | ||||
\(934\) | −8.67842e11 | − | 1.50315e12i | −0.0373147 | − | 0.0646309i | ||||
\(935\) | 7.52389e12 | 0.321951 | ||||||||
\(936\) | 3.24326e11 | + | 5.61750e11i | 0.0138115 | + | 0.0239222i | ||||
\(937\) | −1.62023e13 | + | 2.80632e13i | −0.686671 | + | 1.18935i | 0.286238 | + | 0.958159i | \(0.407595\pi\) |
−0.972909 | + | 0.231190i | \(0.925738\pi\) | |||||||
\(938\) | 3.50009e12 | 0.147627 | ||||||||
\(939\) | 9.62405e12 | − | 1.66693e13i | 0.403983 | − | 0.699718i | ||||
\(940\) | 2.10341e13 | + | 3.64322e13i | 0.878718 | + | 1.52198i | ||||
\(941\) | 1.50656e13 | + | 2.60944e13i | 0.626373 | + | 1.08491i | 0.988274 | + | 0.152693i | \(0.0487947\pi\) |
−0.361900 | + | 0.932217i | \(0.617872\pi\) | |||||||
\(942\) | −7.11523e11 | −0.0294415 | ||||||||
\(943\) | −1.76393e12 | − | 3.05522e12i | −0.0726405 | − | 0.125817i | ||||
\(944\) | 2.22793e11 | 0.00913119 | ||||||||
\(945\) | 4.47296e13 | 1.82453 | ||||||||
\(946\) | −3.23955e12 | − | 2.70388e12i | −0.131515 | − | 0.109769i | ||||
\(947\) | 6.92855e12 | 0.279942 | 0.139971 | − | 0.990156i | \(-0.455299\pi\) | ||||
0.139971 | + | 0.990156i | \(0.455299\pi\) | |||||||
\(948\) | 3.07814e13 | 1.23780 | ||||||||
\(949\) | 1.47890e13 | + | 2.56152e13i | 0.591888 | + | 1.02518i | ||||
\(950\) | −4.55536e12 | −0.181454 | ||||||||
\(951\) | −1.92806e13 | − | 3.33950e13i | −0.764379 | − | 1.32394i | ||||
\(952\) | 8.56109e11 | + | 1.48282e12i | 0.0337802 | + | 0.0585091i | ||||
\(953\) | −5.67970e12 | + | 9.83752e12i | −0.223052 | + | 0.386338i | −0.955733 | − | 0.294234i | \(-0.904935\pi\) |
0.732681 | + | 0.680572i | \(0.238269\pi\) | |||||||
\(954\) | 3.68861e11 | 0.0144177 | ||||||||
\(955\) | 4.63452e12 | − | 8.02722e12i | 0.180297 | − | 0.312284i | ||||
\(956\) | 6.71983e12 | + | 1.16391e13i | 0.260194 | + | 0.450670i | ||||
\(957\) | 3.45830e13 | 1.33278 | ||||||||
\(958\) | −2.31136e12 | − | 4.00340e12i | −0.0886592 | − | 0.153562i | ||||
\(959\) | 1.34092e13 | − | 2.32255e13i | 0.511942 | − | 0.886709i | ||||
\(960\) | −1.50281e13 | + | 2.60294e13i | −0.571062 | + | 0.989108i | ||||
\(961\) | 1.28671e13 | − | 2.22865e13i | 0.486661 | − | 0.842921i | ||||
\(962\) | −7.94322e11 | −0.0299026 | ||||||||
\(963\) | −1.82666e11 | + | 3.16387e11i | −0.00684447 | + | 0.0118550i | ||||
\(964\) | 6.12585e12 | − | 1.06103e13i | 0.228465 | − | 0.395713i | ||||
\(965\) | −2.24630e13 | − | 3.89070e13i | −0.833862 | − | 1.44429i | ||||
\(966\) | 3.06699e11 | + | 5.31219e11i | 0.0113322 | + | 0.0196280i | ||||
\(967\) | 3.51178e13 | 1.29154 | 0.645770 | − | 0.763532i | \(-0.276536\pi\) | ||||
0.645770 | + | 0.763532i | \(0.276536\pi\) | |||||||
\(968\) | −2.93107e12 | −0.107297 | ||||||||
\(969\) | −2.94909e12 | − | 5.10797e12i | −0.107456 | − | 0.186119i | ||||
\(970\) | −8.13208e11 | − | 1.40852e12i | −0.0294937 | − | 0.0510846i | ||||
\(971\) | 1.53381e13 | − | 2.65663e13i | 0.553713 | − | 0.959058i | −0.444290 | − | 0.895883i | \(-0.646544\pi\) |
0.998002 | − | 0.0631752i | \(-0.0201227\pi\) | |||||||
\(972\) | −4.21122e12 | + | 7.29404e12i | −0.151325 | + | 0.262102i | ||||
\(973\) | −1.54142e13 | −0.551330 | ||||||||
\(974\) | −3.17287e12 | + | 5.49556e12i | −0.112963 | + | 0.195658i | ||||
\(975\) | −8.11344e12 | + | 1.40529e13i | −0.287531 | + | 0.498018i | ||||
\(976\) | 2.09764e13 | − | 3.63322e13i | 0.739957 | − | 1.28164i | ||||
\(977\) | 2.66050e13 | + | 4.60812e13i | 0.934194 | + | 1.61807i | 0.776064 | + | 0.630654i | \(0.217213\pi\) |
0.158130 | + | 0.987418i | \(0.449453\pi\) | |||||||
\(978\) | 5.02263e12 | 0.175552 | ||||||||
\(979\) | 1.61709e13 | + | 2.80087e13i | 0.562614 | + | 0.974477i | ||||
\(980\) | 9.20279e12 | − | 1.59397e13i | 0.318715 | − | 0.552030i | ||||
\(981\) | 1.52332e12 | 0.0525148 | ||||||||
\(982\) | −3.41936e12 | + | 5.92251e12i | −0.117339 | + | 0.203238i | ||||
\(983\) | 1.82472e13 | + | 3.16050e13i | 0.623311 | + | 1.07961i | 0.988865 | + | 0.148816i | \(0.0475462\pi\) |
−0.365554 | + | 0.930790i | \(0.619120\pi\) | |||||||
\(984\) | −4.06825e12 | − | 7.04641e12i | −0.138334 | − | 0.239602i | ||||
\(985\) | −5.79130e13 | −1.96026 | ||||||||
\(986\) | 5.20083e11 | + | 9.00810e11i | 0.0175237 | + | 0.0303520i | ||||
\(987\) | −4.17380e13 | −1.39993 | ||||||||
\(988\) | −2.16787e13 | −0.723814 | ||||||||
\(989\) | −7.18796e11 | + | 4.13985e12i | −0.0238903 | + | 0.137595i | ||||
\(990\) | −1.15030e12 | −0.0380586 | ||||||||
\(991\) | 3.93969e13 | 1.29757 | 0.648785 | − | 0.760972i | \(-0.275278\pi\) | ||||
0.648785 | + | 0.760972i | \(0.275278\pi\) | |||||||
\(992\) | 1.06237e12 | + | 1.84007e12i | 0.0348315 | + | 0.0603299i | ||||
\(993\) | −4.28154e13 | −1.39743 | ||||||||
\(994\) | 4.20059e12 | + | 7.27564e12i | 0.136481 | + | 0.236392i | ||||
\(995\) | −2.94334e13 | − | 5.09801e13i | −0.951998 | − | 1.64891i | ||||
\(996\) | −9.38367e12 | + | 1.62530e13i | −0.302138 | + | 0.523319i | ||||
\(997\) | −6.08649e13 | −1.95092 | −0.975458 | − | 0.220185i | \(-0.929334\pi\) | ||||
−0.975458 | + | 0.220185i | \(0.929334\pi\) | |||||||
\(998\) | −2.48879e12 | + | 4.31071e12i | −0.0794147 | + | 0.137550i | ||||
\(999\) | −5.59090e12 | − | 9.68373e12i | −0.177598 | − | 0.307608i |
(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 | 43.10.c.a.36.19 | yes | 64 | |
43.6 | even | 3 | inner | 43.10.c.a.6.19 | ✓ | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.10.c.a.6.19 | ✓ | 64 | 43.6 | even | 3 | inner | |
43.10.c.a.36.19 | yes | 64 | 1.1 | even | 1 | trivial |