Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,9,Mod(2,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([9]))
N = Newforms(chi, 9, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.2");
S:= CuspForms(chi, 9);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 9 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.f (of order \(14\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(17.5172802326\) |
Analytic rank: | \(0\) |
Dimension: | \(174\) |
Relative dimension: | \(29\) over \(\Q(\zeta_{14})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 22.18 | ||
Character | \(\chi\) | \(=\) | 43.22 |
Dual form | 43.9.f.a.2.18 |
$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{5}{14}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 3.66053 | − | 7.60117i | 0.228783 | − | 0.475073i | −0.754701 | − | 0.656069i | \(-0.772218\pi\) |
0.983484 | + | 0.180996i | \(0.0579322\pi\) | |||||||
\(3\) | −21.3391 | − | 44.3111i | −0.263446 | − | 0.547051i | 0.726723 | − | 0.686931i | \(-0.241043\pi\) |
−0.990168 | + | 0.139880i | \(0.955328\pi\) | |||||||
\(4\) | 115.235 | + | 144.500i | 0.450137 | + | 0.564454i | ||||
\(5\) | −661.934 | + | 151.082i | −1.05909 | + | 0.241731i | −0.716382 | − | 0.697709i | \(-0.754203\pi\) |
−0.342713 | + | 0.939440i | \(0.611346\pi\) | |||||||
\(6\) | −414.929 | −0.320161 | ||||||||
\(7\) | 1496.55i | 0.623301i | 0.950197 | + | 0.311651i | \(0.100882\pi\) | ||||
−0.950197 | + | 0.311651i | \(0.899118\pi\) | |||||||
\(8\) | 3625.83 | − | 827.571i | 0.885212 | − | 0.202044i | ||||
\(9\) | 2582.60 | − | 3238.48i | 0.393629 | − | 0.493595i | ||||
\(10\) | −1274.63 | + | 5584.51i | −0.127463 | + | 0.558451i | ||||
\(11\) | 11842.3 | − | 14849.8i | 0.808844 | − | 1.01426i | −0.190625 | − | 0.981663i | \(-0.561051\pi\) |
0.999469 | − | 0.0325951i | \(-0.0103772\pi\) | |||||||
\(12\) | 3943.95 | − | 8189.71i | 0.190198 | − | 0.394951i | ||||
\(13\) | 886.406 | + | 3883.60i | 0.0310355 | + | 0.135976i | 0.988072 | − | 0.153991i | \(-0.0492128\pi\) |
−0.957037 | + | 0.289967i | \(0.906356\pi\) | |||||||
\(14\) | 11375.5 | + | 5478.16i | 0.296114 | + | 0.142601i | ||||
\(15\) | 20819.7 | + | 26107.1i | 0.411254 | + | 0.515696i | ||||
\(16\) | −3546.55 | + | 15538.5i | −0.0541161 | + | 0.237098i | ||||
\(17\) | 13735.0 | − | 60176.9i | 0.164449 | − | 0.720500i | −0.823703 | − | 0.567022i | \(-0.808095\pi\) |
0.988152 | − | 0.153478i | \(-0.0490474\pi\) | |||||||
\(18\) | −15162.5 | − | 31485.3i | −0.144438 | − | 0.299929i | ||||
\(19\) | 4230.57 | − | 3373.77i | 0.0324627 | − | 0.0258881i | −0.607124 | − | 0.794607i | \(-0.707677\pi\) |
0.639587 | + | 0.768719i | \(0.279105\pi\) | |||||||
\(20\) | −98109.4 | − | 78239.7i | −0.613184 | − | 0.488998i | ||||
\(21\) | 66313.7 | − | 31935.0i | 0.340978 | − | 0.164206i | ||||
\(22\) | −69526.5 | − | 144373.i | −0.296797 | − | 0.616305i | ||||
\(23\) | 304616. | − | 381976.i | 1.08853 | − | 1.36497i | 0.162858 | − | 0.986649i | \(-0.447929\pi\) |
0.925673 | − | 0.378325i | \(-0.123500\pi\) | |||||||
\(24\) | −114043. | − | 143005.i | −0.343734 | − | 0.431028i | ||||
\(25\) | 63390.0 | − | 30527.0i | 0.162278 | − | 0.0781491i | ||||
\(26\) | 32764.6 | + | 7478.31i | 0.0716988 | + | 0.0163648i | ||||
\(27\) | −513201. | − | 117135.i | −0.965679 | − | 0.220410i | ||||
\(28\) | −216251. | + | 172455.i | −0.351825 | + | 0.280571i | ||||
\(29\) | 297850. | − | 618493.i | 0.421120 | − | 0.874465i | −0.577204 | − | 0.816600i | \(-0.695856\pi\) |
0.998324 | − | 0.0578654i | \(-0.0184294\pi\) | |||||||
\(30\) | 274656. | − | 62688.3i | 0.339081 | − | 0.0773930i | ||||
\(31\) | 978786. | + | 471359.i | 1.05984 | + | 0.510393i | 0.880820 | − | 0.473452i | \(-0.156992\pi\) |
0.179022 | + | 0.983845i | \(0.442707\pi\) | |||||||
\(32\) | 849496. | + | 677451.i | 0.810143 | + | 0.646067i | ||||
\(33\) | −910713. | − | 207864.i | −0.767938 | − | 0.175277i | ||||
\(34\) | −407137. | − | 324681.i | −0.304667 | − | 0.242964i | ||||
\(35\) | −226102. | − | 990615.i | −0.150672 | − | 0.660135i | ||||
\(36\) | 765566. | 0.455798 | ||||||||
\(37\) | − | 1.33452e6i | − | 0.712065i | −0.934474 | − | 0.356032i | \(-0.884129\pi\) | ||
0.934474 | − | 0.356032i | \(-0.115871\pi\) | |||||||
\(38\) | −10158.4 | − | 44507.1i | −0.00487184 | − | 0.0213449i | ||||
\(39\) | 153172. | − | 122150.i | 0.0662094 | − | 0.0528002i | ||||
\(40\) | −2.27503e6 | + | 1.09560e6i | −0.888683 | + | 0.427967i | ||||
\(41\) | −1.03070e6 | − | 496358.i | −0.364751 | − | 0.175655i | 0.242526 | − | 0.970145i | \(-0.422024\pi\) |
−0.607277 | + | 0.794490i | \(0.707738\pi\) | |||||||
\(42\) | − | 620961.i | − | 0.199557i | ||||||
\(43\) | 741059. | − | 3.33752e6i | 0.216760 | − | 0.976225i | ||||
\(44\) | 3.51044e6 | 0.936593 | ||||||||
\(45\) | −1.22023e6 | + | 2.53384e6i | −0.297573 | + | 0.617916i | ||||
\(46\) | −1.78841e6 | − | 3.71367e6i | −0.399425 | − | 0.829415i | ||||
\(47\) | 4.02723e6 | + | 5.04999e6i | 0.825306 | + | 1.03490i | 0.998746 | + | 0.0500568i | \(0.0159402\pi\) |
−0.173440 | + | 0.984844i | \(0.555488\pi\) | |||||||
\(48\) | 764207. | − | 174425.i | 0.143961 | − | 0.0328583i | ||||
\(49\) | 3.52515e6 | 0.611495 | ||||||||
\(50\) | − | 593583.i | − | 0.0949732i | ||||||
\(51\) | −2.95960e6 | + | 675509.i | −0.437474 | + | 0.0998505i | ||||
\(52\) | −459036. | + | 575613.i | −0.0627817 | + | 0.0787258i | ||||
\(53\) | −2.36113e6 | + | 1.03448e7i | −0.299238 | + | 1.31105i | 0.572027 | + | 0.820235i | \(0.306157\pi\) |
−0.871265 | + | 0.490813i | \(0.836700\pi\) | |||||||
\(54\) | −2.76895e6 | + | 3.47216e6i | −0.325642 | + | 0.408342i | ||||
\(55\) | −5.59528e6 | + | 1.16187e7i | −0.611464 | + | 1.26972i | ||||
\(56\) | 1.23850e6 | + | 5.42622e6i | 0.125934 | + | 0.551754i | ||||
\(57\) | −239772. | − | 115468.i | −0.0227143 | − | 0.0109386i | ||||
\(58\) | −3.61098e6 | − | 4.52802e6i | −0.319090 | − | 0.400126i | ||||
\(59\) | −1.70142e6 | + | 7.45441e6i | −0.140412 | + | 0.615185i | 0.854927 | + | 0.518748i | \(0.173602\pi\) |
−0.995339 | + | 0.0964367i | \(0.969255\pi\) | |||||||
\(60\) | −1.37332e6 | + | 6.01691e6i | −0.105966 | + | 0.464267i | ||||
\(61\) | −565185. | − | 1.17362e6i | −0.0408198 | − | 0.0847633i | 0.879562 | − | 0.475785i | \(-0.157836\pi\) |
−0.920381 | + | 0.391022i | \(0.872122\pi\) | |||||||
\(62\) | 7.16575e6 | − | 5.71450e6i | 0.484948 | − | 0.386733i | ||||
\(63\) | 4.84653e6 | + | 3.86498e6i | 0.307658 | + | 0.245349i | ||||
\(64\) | 4.58294e6 | − | 2.20703e6i | 0.273165 | − | 0.131549i | ||||
\(65\) | −1.17348e6 | − | 2.43677e6i | −0.0657391 | − | 0.136509i | ||||
\(66\) | −4.91371e6 | + | 6.16159e6i | −0.258960 | + | 0.324726i | ||||
\(67\) | −7.28354e6 | − | 9.13327e6i | −0.361446 | − | 0.453239i | 0.567544 | − | 0.823343i | \(-0.307894\pi\) |
−0.928990 | + | 0.370104i | \(0.879322\pi\) | |||||||
\(68\) | 1.02783e7 | − | 4.94978e6i | 0.480714 | − | 0.231500i | ||||
\(69\) | −2.34260e7 | − | 5.34683e6i | −1.03348 | − | 0.235885i | ||||
\(70\) | −8.35749e6 | − | 1.90754e6i | −0.348084 | − | 0.0794478i | ||||
\(71\) | −8.44302e6 | + | 6.73308e6i | −0.332250 | + | 0.264960i | −0.775377 | − | 0.631498i | \(-0.782440\pi\) |
0.443128 | + | 0.896458i | \(0.353869\pi\) | |||||||
\(72\) | 6.68398e6 | − | 1.38794e7i | 0.248717 | − | 0.516466i | ||||
\(73\) | −1.13994e7 | + | 2.60183e6i | −0.401411 | + | 0.0916194i | −0.418460 | − | 0.908235i | \(-0.637430\pi\) |
0.0170491 | + | 0.999855i | \(0.494573\pi\) | |||||||
\(74\) | −1.01439e7 | − | 4.88507e6i | −0.338283 | − | 0.162908i | ||||
\(75\) | −2.70537e6 | − | 2.15746e6i | −0.0855031 | − | 0.0681864i | ||||
\(76\) | 975020. | + | 222542.i | 0.0292253 | + | 0.00667049i | ||||
\(77\) | 2.22234e7 | + | 1.77225e7i | 0.632189 | + | 0.504154i | ||||
\(78\) | −367796. | − | 1.61142e6i | −0.00993638 | − | 0.0435341i | ||||
\(79\) | 2.23392e7 | 0.573533 | 0.286767 | − | 0.958000i | \(-0.407420\pi\) | ||||
0.286767 | + | 0.958000i | \(0.407420\pi\) | |||||||
\(80\) | − | 1.08213e7i | − | 0.264191i | ||||||
\(81\) | −286509. | − | 1.25528e6i | −0.00665577 | − | 0.0291608i | ||||
\(82\) | −7.54580e6 | + | 6.01758e6i | −0.166898 | + | 0.133096i | ||||
\(83\) | 8.29515e7 | − | 3.99473e7i | 1.74788 | − | 0.841735i | 0.768463 | − | 0.639894i | \(-0.221022\pi\) |
0.979418 | − | 0.201841i | \(-0.0646926\pi\) | |||||||
\(84\) | 1.22563e7 | + | 5.90231e6i | 0.246174 | + | 0.118551i | ||||
\(85\) | 4.19082e7i | 0.802830i | ||||||||
\(86\) | −2.26564e7 | − | 1.78500e7i | −0.414187 | − | 0.326321i | ||||
\(87\) | −3.37620e7 | −0.589320 | ||||||||
\(88\) | 3.06488e7 | − | 6.36430e7i | 0.511073 | − | 1.06126i | ||||
\(89\) | −1.77432e7 | − | 3.68441e7i | −0.282795 | − | 0.587230i | 0.710386 | − | 0.703812i | \(-0.248520\pi\) |
−0.993181 | + | 0.116582i | \(0.962806\pi\) | |||||||
\(90\) | 1.47935e7 | + | 1.85504e7i | 0.225476 | + | 0.282738i | ||||
\(91\) | −5.81199e6 | + | 1.32655e6i | −0.0847538 | + | 0.0193445i | ||||
\(92\) | 9.02980e7 | 1.26045 | ||||||||
\(93\) | − | 5.34295e7i | − | 0.714249i | ||||||
\(94\) | 5.31276e7 | − | 1.21260e7i | 0.680470 | − | 0.155313i | ||||
\(95\) | −2.29064e6 | + | 2.87238e6i | −0.0281231 | + | 0.0352652i | ||||
\(96\) | 1.18911e7 | − | 5.20983e7i | 0.140003 | − | 0.613393i | ||||
\(97\) | −5.45612e7 | + | 6.84176e7i | −0.616307 | + | 0.772825i | −0.987820 | − | 0.155603i | \(-0.950268\pi\) |
0.371512 | + | 0.928428i | \(0.378839\pi\) | |||||||
\(98\) | 1.29039e7 | − | 2.67953e7i | 0.139900 | − | 0.290505i | ||||
\(99\) | −1.75067e7 | − | 7.67019e7i | −0.182248 | − | 0.798482i | ||||
\(100\) | 1.17159e7 | + | 5.64208e6i | 0.117159 | + | 0.0564208i | ||||
\(101\) | −9.68966e7 | − | 1.21504e8i | −0.931157 | − | 1.16763i | −0.985596 | − | 0.169117i | \(-0.945908\pi\) |
0.0544389 | − | 0.998517i | \(-0.482663\pi\) | |||||||
\(102\) | −5.69904e6 | + | 2.49691e7i | −0.0526503 | + | 0.230676i | ||||
\(103\) | −1.31279e7 | + | 5.75169e7i | −0.116639 | + | 0.511030i | 0.882529 | + | 0.470258i | \(0.155839\pi\) |
−0.999168 | + | 0.0407725i | \(0.987018\pi\) | |||||||
\(104\) | 6.42791e6 | + | 1.33477e7i | 0.0549461 | + | 0.114097i | ||||
\(105\) | −3.90705e7 | + | 3.11577e7i | −0.321434 | + | 0.256335i | ||||
\(106\) | 6.99895e7 | + | 5.58148e7i | 0.554383 | + | 0.442105i | ||||
\(107\) | −1.87626e8 | + | 9.03559e7i | −1.43139 | + | 0.689321i | −0.979256 | − | 0.202629i | \(-0.935052\pi\) |
−0.452134 | + | 0.891950i | \(0.649337\pi\) | |||||||
\(108\) | −4.22128e7 | − | 8.76558e7i | −0.310277 | − | 0.644296i | ||||
\(109\) | 7.67252e7 | − | 9.62104e7i | 0.543541 | − | 0.681579i | −0.431879 | − | 0.901931i | \(-0.642149\pi\) |
0.975420 | + | 0.220353i | \(0.0707208\pi\) | |||||||
\(110\) | 6.78341e7 | + | 8.50613e7i | 0.463316 | + | 0.580980i | ||||
\(111\) | −5.91343e7 | + | 2.84776e7i | −0.389536 | + | 0.187591i | ||||
\(112\) | −2.32540e7 | − | 5.30758e6i | −0.147784 | − | 0.0337307i | ||||
\(113\) | −1.20827e8 | − | 2.75781e7i | −0.741058 | − | 0.169142i | −0.164705 | − | 0.986343i | \(-0.552667\pi\) |
−0.576352 | + | 0.817201i | \(0.695524\pi\) | |||||||
\(114\) | −1.75539e6 | + | 1.39987e6i | −0.0103933 | + | 0.00828838i | ||||
\(115\) | −1.43926e8 | + | 2.98865e8i | −0.822900 | + | 1.70877i | ||||
\(116\) | 1.23695e8 | − | 2.82326e7i | 0.683157 | − | 0.155926i | ||||
\(117\) | 1.48662e7 | + | 7.15917e6i | 0.0793333 | + | 0.0382049i | ||||
\(118\) | 5.04342e7 | + | 4.02199e7i | 0.260134 | + | 0.207450i | ||||
\(119\) | 9.00575e7 | + | 2.05550e7i | 0.449089 | + | 0.102502i | ||||
\(120\) | 9.70942e7 | + | 7.74300e7i | 0.468240 | + | 0.373409i | ||||
\(121\) | −3.25762e7 | − | 1.42725e8i | −0.151970 | − | 0.665825i | ||||
\(122\) | −1.09898e7 | −0.0496076 | ||||||||
\(123\) | 5.62633e7i | 0.245813i | ||||||||
\(124\) | 4.46791e7 | + | 1.95752e8i | 0.188981 | + | 0.827979i | ||||
\(125\) | 1.70008e8 | − | 1.35576e8i | 0.696351 | − | 0.555321i | ||||
\(126\) | 4.71192e7 | − | 2.26914e7i | 0.186946 | − | 0.0900284i | ||||
\(127\) | −1.46240e8 | − | 7.04255e7i | −0.562149 | − | 0.270717i | 0.131155 | − | 0.991362i | \(-0.458131\pi\) |
−0.693304 | + | 0.720645i | \(0.743846\pi\) | |||||||
\(128\) | 2.35241e8i | 0.876342i | ||||||||
\(129\) | −1.63703e8 | + | 3.83825e7i | −0.591149 | + | 0.138604i | ||||
\(130\) | −2.28179e7 | −0.0798916 | ||||||||
\(131\) | −1.62351e8 | + | 3.37126e8i | −0.551277 | + | 1.14474i | 0.420162 | + | 0.907449i | \(0.361973\pi\) |
−0.971439 | + | 0.237290i | \(0.923741\pi\) | |||||||
\(132\) | −7.49097e7 | − | 1.55552e8i | −0.246742 | − | 0.512364i | ||||
\(133\) | 5.04900e6 | + | 6.33125e6i | 0.0161361 | + | 0.0202340i | ||||
\(134\) | −9.60852e7 | + | 2.19308e7i | −0.298014 | + | 0.0680199i | ||||
\(135\) | 3.57402e8 | 1.07603 | ||||||||
\(136\) | − | 2.29558e8i | − | 0.671021i | ||||||
\(137\) | 8.29154e7 | − | 1.89249e7i | 0.235371 | − | 0.0537219i | −0.103208 | − | 0.994660i | \(-0.532911\pi\) |
0.338579 | + | 0.940938i | \(0.390054\pi\) | |||||||
\(138\) | −1.26394e8 | + | 1.58493e8i | −0.348505 | + | 0.437012i | ||||
\(139\) | −9.04460e7 | + | 3.96270e8i | −0.242287 | + | 1.06153i | 0.696642 | + | 0.717418i | \(0.254676\pi\) |
−0.938929 | + | 0.344110i | \(0.888181\pi\) | |||||||
\(140\) | 1.17089e8 | − | 1.46825e8i | 0.304793 | − | 0.382199i | ||||
\(141\) | 1.37833e8 | − | 2.86213e8i | 0.348720 | − | 0.724125i | ||||
\(142\) | 2.02734e7 | + | 8.88235e7i | 0.0498623 | + | 0.218461i | ||||
\(143\) | 6.81676e7 | + | 3.28278e7i | 0.163017 | + | 0.0785050i | ||||
\(144\) | 4.11616e7 | + | 5.16150e7i | 0.0957288 | + | 0.120040i | ||||
\(145\) | −1.03714e8 | + | 4.54401e8i | −0.234620 | + | 1.02794i | ||||
\(146\) | −2.19508e7 | + | 9.61725e7i | −0.0483101 | + | 0.211660i | ||||
\(147\) | −7.52236e7 | − | 1.56203e8i | −0.161096 | − | 0.334519i | ||||
\(148\) | 1.92839e8 | − | 1.53784e8i | 0.401928 | − | 0.320527i | ||||
\(149\) | 3.79537e8 | + | 3.02671e8i | 0.770032 | + | 0.614080i | 0.927663 | − | 0.373418i | \(-0.121814\pi\) |
−0.157631 | + | 0.987498i | \(0.550386\pi\) | |||||||
\(150\) | −2.63023e7 | + | 1.26665e7i | −0.0519552 | + | 0.0250203i | ||||
\(151\) | −2.69160e8 | − | 5.58917e8i | −0.517729 | − | 1.07508i | −0.981912 | − | 0.189337i | \(-0.939366\pi\) |
0.464183 | − | 0.885739i | \(-0.346348\pi\) | |||||||
\(152\) | 1.25473e7 | − | 1.57338e7i | 0.0235058 | − | 0.0294754i | ||||
\(153\) | −1.59409e8 | − | 1.99893e8i | −0.290903 | − | 0.364781i | ||||
\(154\) | 2.16061e8 | − | 1.04050e8i | 0.384144 | − | 0.184994i | ||||
\(155\) | −7.19106e8 | − | 1.64131e8i | −1.24585 | − | 0.284357i | ||||
\(156\) | 3.53015e7 | + | 8.05733e6i | 0.0596066 | + | 0.0136048i | ||||
\(157\) | −3.39784e8 | + | 2.70969e8i | −0.559247 | + | 0.445985i | −0.861873 | − | 0.507125i | \(-0.830708\pi\) |
0.302625 | + | 0.953110i | \(0.402137\pi\) | |||||||
\(158\) | 8.17732e7 | − | 1.69804e8i | 0.131215 | − | 0.272470i | ||||
\(159\) | 5.08774e8 | − | 1.16124e8i | 0.796043 | − | 0.181692i | ||||
\(160\) | −6.64661e8 | − | 3.20084e8i | −1.01419 | − | 0.488409i | ||||
\(161\) | 5.71645e8 | + | 4.55872e8i | 0.850791 | + | 0.678483i | ||||
\(162\) | −1.05904e7 | − | 2.41718e6i | −0.0153763 | − | 0.00350953i | ||||
\(163\) | −7.74511e8 | − | 6.17652e8i | −1.09718 | − | 0.874971i | −0.104353 | − | 0.994540i | \(-0.533277\pi\) |
−0.992826 | + | 0.119570i | \(0.961848\pi\) | |||||||
\(164\) | −4.70487e7 | − | 2.06134e8i | −0.0650388 | − | 0.284954i | ||||
\(165\) | 6.34237e8 | 0.855688 | ||||||||
\(166\) | − | 7.76757e8i | − | 1.02295i | ||||||
\(167\) | −1.35846e8 | − | 5.95180e8i | −0.174655 | − | 0.765214i | −0.984042 | − | 0.177938i | \(-0.943057\pi\) |
0.809387 | − | 0.587276i | \(-0.199800\pi\) | |||||||
\(168\) | 2.14014e8 | − | 1.70670e8i | 0.268661 | − | 0.214250i | ||||
\(169\) | 7.20651e8 | − | 3.47047e8i | 0.883443 | − | 0.425444i | ||||
\(170\) | 3.18552e8 | + | 1.53406e8i | 0.381403 | + | 0.183674i | ||||
\(171\) | − | 2.24137e7i | − | 0.0262137i | ||||||
\(172\) | 5.67668e8 | − | 2.77516e8i | 0.648606 | − | 0.317084i | ||||
\(173\) | −7.54273e8 | −0.842062 | −0.421031 | − | 0.907046i | \(-0.638332\pi\) | ||||
−0.421031 | + | 0.907046i | \(0.638332\pi\) | |||||||
\(174\) | −1.23587e8 | + | 2.56631e8i | −0.134826 | + | 0.279970i | ||||
\(175\) | 4.56851e7 | + | 9.48660e7i | 0.0487105 | + | 0.101148i | ||||
\(176\) | 1.88743e8 | + | 2.36676e8i | 0.196707 | + | 0.246663i | ||||
\(177\) | 3.66620e8 | − | 8.36787e7i | 0.373528 | − | 0.0852554i | ||||
\(178\) | −3.45008e8 | −0.343676 | ||||||||
\(179\) | 9.55151e8i | 0.930379i | 0.885211 | + | 0.465190i | \(0.154014\pi\) | ||||
−0.885211 | + | 0.465190i | \(0.845986\pi\) | |||||||
\(180\) | −5.06754e8 | + | 1.15663e8i | −0.482734 | + | 0.110181i | ||||
\(181\) | −5.82846e8 | + | 7.30866e8i | −0.543050 | + | 0.680963i | −0.975324 | − | 0.220779i | \(-0.929140\pi\) |
0.432274 | + | 0.901742i | \(0.357711\pi\) | |||||||
\(182\) | −1.11916e7 | + | 4.90338e7i | −0.0102002 | + | 0.0446899i | ||||
\(183\) | −3.99438e7 | + | 5.00880e7i | −0.0356160 | + | 0.0446611i | ||||
\(184\) | 7.88371e8 | − | 1.63707e9i | 0.687796 | − | 1.42822i | ||||
\(185\) | 2.01623e8 | + | 8.83367e8i | 0.172128 | + | 0.754144i | ||||
\(186\) | −4.06127e8 | − | 1.95580e8i | −0.339320 | − | 0.163408i | ||||
\(187\) | −7.30958e8 | − | 9.16592e8i | −0.597759 | − | 0.749566i | ||||
\(188\) | −2.65646e8 | + | 1.16387e9i | −0.212653 | + | 0.931695i | ||||
\(189\) | 1.75298e8 | − | 7.68030e8i | 0.137382 | − | 0.601909i | ||||
\(190\) | 1.34484e7 | + | 2.79260e7i | 0.0103195 | + | 0.0214286i | ||||
\(191\) | 9.47832e8 | − | 7.55871e8i | 0.712193 | − | 0.567955i | −0.198967 | − | 0.980006i | \(-0.563759\pi\) |
0.911161 | + | 0.412051i | \(0.135187\pi\) | |||||||
\(192\) | −1.95592e8 | − | 1.55979e8i | −0.143928 | − | 0.114779i | ||||
\(193\) | −2.13461e8 | + | 1.02797e8i | −0.153847 | + | 0.0740889i | −0.509223 | − | 0.860635i | \(-0.670067\pi\) |
0.355376 | + | 0.934723i | \(0.384353\pi\) | |||||||
\(194\) | 3.20331e8 | + | 6.65174e8i | 0.226148 | + | 0.469600i | ||||
\(195\) | −8.29348e7 | + | 1.03997e8i | −0.0573585 | + | 0.0719253i | ||||
\(196\) | 4.06221e8 | + | 5.09385e8i | 0.275257 | + | 0.345161i | ||||
\(197\) | 2.19628e9 | − | 1.05767e9i | 1.45822 | − | 0.702243i | 0.474221 | − | 0.880406i | \(-0.342730\pi\) |
0.984001 | + | 0.178163i | \(0.0570155\pi\) | |||||||
\(198\) | −6.47108e8 | − | 1.47698e8i | −0.421033 | − | 0.0960980i | ||||
\(199\) | 1.38782e9 | + | 3.16761e8i | 0.884954 | + | 0.201985i | 0.640760 | − | 0.767742i | \(-0.278620\pi\) |
0.244194 | + | 0.969726i | \(0.421477\pi\) | |||||||
\(200\) | 2.04578e8 | − | 1.63145e8i | 0.127861 | − | 0.101966i | ||||
\(201\) | −2.49281e8 | + | 5.17638e8i | −0.152723 | + | 0.317133i | ||||
\(202\) | −1.27827e9 | + | 2.91757e8i | −0.767745 | + | 0.175233i | ||||
\(203\) | 9.25603e8 | + | 4.45747e8i | 0.545056 | + | 0.262485i | ||||
\(204\) | −4.38661e8 | − | 3.49820e8i | −0.253284 | − | 0.201987i | ||||
\(205\) | 7.57245e8 | + | 1.72836e8i | 0.428767 | + | 0.0978632i | ||||
\(206\) | 3.89141e8 | + | 3.10329e8i | 0.216092 | + | 0.172327i | ||||
\(207\) | −4.50320e8 | − | 1.97298e9i | −0.245267 | − | 1.07459i | ||||
\(208\) | −6.34889e7 | −0.0339191 | ||||||||
\(209\) | − | 1.02776e8i | − | 0.0538650i | ||||||
\(210\) | 9.38161e7 | + | 4.11035e8i | 0.0482392 | + | 0.211350i | ||||
\(211\) | −1.24917e9 | + | 9.96181e8i | −0.630220 | + | 0.502584i | −0.885717 | − | 0.464226i | \(-0.846332\pi\) |
0.255497 | + | 0.966810i | \(0.417761\pi\) | |||||||
\(212\) | −1.76691e9 | + | 8.50899e8i | −0.874724 | + | 0.421245i | ||||
\(213\) | 4.78517e8 | + | 2.30442e8i | 0.232476 | + | 0.111955i | ||||
\(214\) | 1.75693e9i | 0.837720i | ||||||||
\(215\) | 1.37070e7 | + | 2.32118e9i | 0.00641487 | + | 1.08631i | ||||
\(216\) | −1.95772e9 | −0.899363 | ||||||||
\(217\) | −7.05410e8 | + | 1.46480e9i | −0.318129 | + | 0.660601i | ||||
\(218\) | −4.50457e8 | − | 9.35383e8i | −0.199447 | − | 0.414155i | ||||
\(219\) | 3.58542e8 | + | 4.49598e8i | 0.155871 | + | 0.195455i | ||||
\(220\) | −2.32368e9 | + | 5.30365e8i | −0.991940 | + | 0.226404i | ||||
\(221\) | 2.45878e8 | 0.103074 | ||||||||
\(222\) | 5.53733e8i | 0.227976i | ||||||||
\(223\) | −2.07777e9 | + | 4.74238e8i | −0.840192 | + | 0.191768i | −0.620899 | − | 0.783891i | \(-0.713232\pi\) |
−0.219293 | + | 0.975659i | \(0.570375\pi\) | |||||||
\(224\) | −1.01384e9 | + | 1.27131e9i | −0.402695 | + | 0.504963i | ||||
\(225\) | 6.48499e7 | − | 2.84126e8i | 0.0253034 | − | 0.110861i | ||||
\(226\) | −6.51918e8 | + | 8.17480e8i | −0.249896 | + | 0.313360i | ||||
\(227\) | 1.57477e9 | − | 3.27005e9i | 0.593081 | − | 1.23155i | −0.361159 | − | 0.932504i | \(-0.617619\pi\) |
0.954240 | − | 0.299041i | \(-0.0966668\pi\) | |||||||
\(228\) | −1.09450e7 | − | 4.79531e7i | −0.00405019 | − | 0.0177451i | ||||
\(229\) | 2.21826e9 | + | 1.06826e9i | 0.806621 | + | 0.388448i | 0.791295 | − | 0.611434i | \(-0.209407\pi\) |
0.0153259 | + | 0.999883i | \(0.495121\pi\) | |||||||
\(230\) | 1.74488e9 | + | 2.18801e9i | 0.623525 | + | 0.781875i | ||||
\(231\) | 3.11079e8 | − | 1.36293e9i | 0.109250 | − | 0.478657i | ||||
\(232\) | 5.68107e8 | − | 2.48904e9i | 0.196100 | − | 0.859172i | ||||
\(233\) | 1.17099e9 | + | 2.43159e9i | 0.397311 | + | 0.825025i | 0.999641 | + | 0.0267783i | \(0.00852483\pi\) |
−0.602330 | + | 0.798247i | \(0.705761\pi\) | |||||||
\(234\) | 1.08836e8 | − | 8.67939e7i | 0.0363003 | − | 0.0289485i | ||||
\(235\) | −3.42872e9 | − | 2.73432e9i | −1.12425 | − | 0.896556i | ||||
\(236\) | −1.27323e9 | + | 6.13154e8i | −0.410448 | + | 0.197661i | ||||
\(237\) | −4.76698e8 | − | 9.89874e8i | −0.151095 | − | 0.313752i | ||||
\(238\) | 4.85900e8 | − | 6.09300e8i | 0.151440 | − | 0.189899i | ||||
\(239\) | 1.97467e9 | + | 2.47615e9i | 0.605204 | + | 0.758902i | 0.986179 | − | 0.165683i | \(-0.0529830\pi\) |
−0.380975 | + | 0.924585i | \(0.624412\pi\) | |||||||
\(240\) | −4.79502e8 | + | 2.30916e8i | −0.144526 | + | 0.0696000i | ||||
\(241\) | 5.31924e9 | + | 1.21408e9i | 1.57682 | + | 0.359898i | 0.919305 | − | 0.393546i | \(-0.128752\pi\) |
0.657512 | + | 0.753444i | \(0.271609\pi\) | |||||||
\(242\) | −1.20413e9 | − | 2.74834e8i | −0.351084 | − | 0.0801326i | ||||
\(243\) | −2.74973e9 | + | 2.19283e9i | −0.788613 | + | 0.628898i | ||||
\(244\) | 1.04459e8 | − | 2.16911e8i | 0.0294704 | − | 0.0611960i | ||||
\(245\) | −2.33342e9 | + | 5.32587e8i | −0.647631 | + | 0.147818i | ||||
\(246\) | 4.27667e8 | + | 2.05953e8i | 0.116779 | + | 0.0562378i | ||||
\(247\) | 1.68524e7 | + | 1.34393e7i | 0.00452765 | + | 0.00361068i | ||||
\(248\) | 3.93899e9 | + | 8.99050e8i | 1.04131 | + | 0.237671i | ||||
\(249\) | −3.54022e9 | − | 2.82323e9i | −0.920944 | − | 0.734429i | ||||
\(250\) | −4.08222e8 | − | 1.78854e9i | −0.104505 | − | 0.457866i | ||||
\(251\) | 5.41738e9 | 1.36488 | 0.682440 | − | 0.730941i | \(-0.260919\pi\) | ||||
0.682440 | + | 0.730941i | \(0.260919\pi\) | |||||||
\(252\) | 1.14571e9i | 0.284100i | ||||||||
\(253\) | −2.06490e9 | − | 9.04693e9i | −0.503985 | − | 2.20810i | ||||
\(254\) | −1.07063e9 | + | 8.53801e8i | −0.257221 | + | 0.205127i | ||||
\(255\) | 1.85700e9 | − | 8.94285e8i | 0.439189 | − | 0.211502i | ||||
\(256\) | 2.96134e9 | + | 1.42611e9i | 0.689491 | + | 0.332041i | ||||
\(257\) | 3.84618e9i | 0.881653i | 0.897592 | + | 0.440826i | \(0.145315\pi\) | ||||
−0.897592 | + | 0.440826i | \(0.854685\pi\) | |||||||
\(258\) | −3.07487e8 | + | 1.38483e9i | −0.0693982 | + | 0.312549i | ||||
\(259\) | 1.99718e9 | 0.443831 | ||||||||
\(260\) | 2.16887e8 | − | 4.50370e8i | 0.0474613 | − | 0.0985544i | ||||
\(261\) | −1.23375e9 | − | 2.56190e9i | −0.265866 | − | 0.552077i | ||||
\(262\) | 1.96826e9 | + | 2.46812e9i | 0.417712 | + | 0.523794i | ||||
\(263\) | −5.22605e9 | + | 1.19281e9i | −1.09232 | + | 0.249316i | −0.730487 | − | 0.682926i | \(-0.760707\pi\) |
−0.361836 | + | 0.932242i | \(0.617850\pi\) | |||||||
\(264\) | −3.47411e9 | −0.715201 | ||||||||
\(265\) | − | 7.20430e9i | − | 1.46086i | ||||||
\(266\) | 6.66069e7 | − | 1.52026e7i | 0.0133043 | − | 0.00303662i | ||||
\(267\) | −1.25398e9 | + | 1.57244e9i | −0.246743 | + | 0.309407i | ||||
\(268\) | 4.80441e8 | − | 2.10495e9i | 0.0931323 | − | 0.408039i | ||||
\(269\) | 2.83984e9 | − | 3.56104e9i | 0.542356 | − | 0.680092i | −0.432831 | − | 0.901475i | \(-0.642485\pi\) |
0.975187 | + | 0.221382i | \(0.0710569\pi\) | |||||||
\(270\) | 1.30828e9 | − | 2.71668e9i | 0.246176 | − | 0.511191i | ||||
\(271\) | −5.01155e8 | − | 2.19570e9i | −0.0929170 | − | 0.407096i | 0.906984 | − | 0.421165i | \(-0.138379\pi\) |
−0.999901 | + | 0.0140691i | \(0.995522\pi\) | |||||||
\(272\) | 8.86344e8 | + | 4.26841e8i | 0.161930 | + | 0.0779813i | ||||
\(273\) | 1.82804e8 | + | 2.29228e8i | 0.0329105 | + | 0.0412684i | ||||
\(274\) | 1.59663e8 | − | 6.99529e8i | 0.0283271 | − | 0.124109i | ||||
\(275\) | 2.97363e8 | − | 1.30283e9i | 0.0519944 | − | 0.227802i | ||||
\(276\) | −1.92688e9 | − | 4.00121e9i | −0.332061 | − | 0.689532i | ||||
\(277\) | −1.38538e9 | + | 1.10481e9i | −0.235316 | + | 0.187658i | −0.734047 | − | 0.679099i | \(-0.762371\pi\) |
0.498731 | + | 0.866757i | \(0.333799\pi\) | |||||||
\(278\) | 2.68103e9 | + | 2.13805e9i | 0.448872 | + | 0.357964i | ||||
\(279\) | 4.05429e9 | − | 1.95245e9i | 0.669112 | − | 0.322227i | ||||
\(280\) | −1.63961e9 | − | 3.40469e9i | −0.266752 | − | 0.553917i | ||||
\(281\) | −2.04423e9 | + | 2.56338e9i | −0.327872 | + | 0.411138i | −0.918258 | − | 0.395983i | \(-0.870404\pi\) |
0.590386 | + | 0.807121i | \(0.298975\pi\) | |||||||
\(282\) | −1.67101e9 | − | 2.09539e9i | −0.264231 | − | 0.331335i | ||||
\(283\) | 4.16788e9 | − | 2.00715e9i | 0.649785 | − | 0.312920i | −0.0797990 | − | 0.996811i | \(-0.525428\pi\) |
0.729584 | + | 0.683891i | \(0.239714\pi\) | |||||||
\(284\) | −1.94586e9 | − | 4.44131e8i | −0.299116 | − | 0.0682712i | ||||
\(285\) | 1.76159e8 | + | 4.02070e7i | 0.0267008 | + | 0.00609428i | ||||
\(286\) | 4.99059e8 | − | 3.97986e8i | 0.0745912 | − | 0.0594845i | ||||
\(287\) | 7.42823e8 | − | 1.54249e9i | 0.109486 | − | 0.227350i | ||||
\(288\) | 4.38781e9 | − | 1.00149e9i | 0.637791 | − | 0.145572i | ||||
\(289\) | 2.85234e9 | + | 1.37361e9i | 0.408893 | + | 0.196912i | ||||
\(290\) | 3.07433e9 | + | 2.45170e9i | 0.434669 | + | 0.346637i | ||||
\(291\) | 4.19595e9 | + | 9.57699e8i | 0.585138 | + | 0.133554i | ||||
\(292\) | −1.68957e9 | − | 1.34739e9i | −0.232405 | − | 0.185337i | ||||
\(293\) | 1.74483e9 | + | 7.64461e9i | 0.236746 | + | 1.03725i | 0.943910 | + | 0.330204i | \(0.107117\pi\) |
−0.707163 | + | 0.707050i | \(0.750025\pi\) | |||||||
\(294\) | −1.46269e9 | −0.195777 | ||||||||
\(295\) | − | 5.19139e9i | − | 0.685481i | ||||||
\(296\) | −1.10441e9 | − | 4.83875e9i | −0.143868 | − | 0.630328i | ||||
\(297\) | −7.81690e9 | + | 6.23377e9i | −1.00464 | + | 0.801170i | ||||
\(298\) | 3.68996e9 | − | 1.77699e9i | 0.467904 | − | 0.225330i | ||||
\(299\) | 1.75345e9 | + | 8.44419e8i | 0.219386 | + | 0.105651i | ||||
\(300\) | − | 6.39542e8i | − | 0.0789558i | ||||||
\(301\) | 4.99475e9 | + | 1.10903e9i | 0.608482 | + | 0.135107i | ||||
\(302\) | −5.23369e9 | −0.629187 | ||||||||
\(303\) | −3.31631e9 | + | 6.88640e9i | −0.393446 | + | 0.816999i | ||||
\(304\) | 3.74192e7 | + | 7.77018e7i | 0.00438127 | + | 0.00909781i | ||||
\(305\) | 5.51428e8 | + | 6.91469e8i | 0.0637220 | + | 0.0799049i | ||||
\(306\) | −2.10294e9 | + | 4.79983e8i | −0.239851 | + | 0.0547445i | ||||
\(307\) | −8.11817e9 | −0.913913 | −0.456957 | − | 0.889489i | \(-0.651061\pi\) | ||||
−0.456957 | + | 0.889489i | \(0.651061\pi\) | |||||||
\(308\) | 5.25354e9i | 0.583780i | ||||||||
\(309\) | 2.82878e9 | − | 6.45650e8i | 0.310288 | − | 0.0708212i | ||||
\(310\) | −3.87990e9 | + | 4.86524e9i | −0.420120 | + | 0.526814i | ||||
\(311\) | −6.64729e8 | + | 2.91237e9i | −0.0710564 | + | 0.311319i | −0.997949 | − | 0.0640071i | \(-0.979612\pi\) |
0.926893 | + | 0.375326i | \(0.122469\pi\) | |||||||
\(312\) | 4.54286e8 | − | 5.69656e8i | 0.0479414 | − | 0.0601166i | ||||
\(313\) | −2.61025e9 | + | 5.42025e9i | −0.271960 | + | 0.564731i | −0.991559 | − | 0.129659i | \(-0.958612\pi\) |
0.719598 | + | 0.694390i | \(0.244326\pi\) | |||||||
\(314\) | 8.15889e8 | + | 3.57464e9i | 0.0839291 | + | 0.367717i | ||||
\(315\) | −3.79201e9 | − | 1.82614e9i | −0.385148 | − | 0.185477i | ||||
\(316\) | 2.57426e9 | + | 3.22801e9i | 0.258169 | + | 0.323733i | ||||
\(317\) | −2.11470e9 | + | 9.26511e9i | −0.209417 | + | 0.917516i | 0.755539 | + | 0.655104i | \(0.227375\pi\) |
−0.964956 | + | 0.262412i | \(0.915482\pi\) | |||||||
\(318\) | 9.79702e8 | − | 4.29235e9i | 0.0958044 | − | 0.419747i | ||||
\(319\) | −5.65724e9 | − | 1.17474e10i | −0.546313 | − | 1.13443i | ||||
\(320\) | −2.70016e9 | + | 2.15331e9i | −0.257508 | + | 0.205355i | ||||
\(321\) | 8.00755e9 | + | 6.38581e9i | 0.754188 | + | 0.601445i | ||||
\(322\) | 5.55768e9 | − | 2.67644e9i | 0.516976 | − | 0.248962i | ||||
\(323\) | −1.44916e8 | − | 3.00921e8i | −0.0133139 | − | 0.0276466i | ||||
\(324\) | 1.48372e8 | − | 1.86053e8i | 0.0134639 | − | 0.0168832i | ||||
\(325\) | 1.74744e8 | + | 2.19122e8i | 0.0156628 | + | 0.0196405i | ||||
\(326\) | −7.53000e9 | + | 3.62626e9i | −0.666691 | + | 0.321061i | ||||
\(327\) | −5.90044e9 | − | 1.34674e9i | −0.516052 | − | 0.117786i | ||||
\(328\) | −4.14791e9 | − | 9.46732e8i | −0.358372 | − | 0.0817960i | ||||
\(329\) | −7.55754e9 | + | 6.02694e9i | −0.645055 | + | 0.514415i | ||||
\(330\) | 2.32164e9 | − | 4.82094e9i | 0.195767 | − | 0.406514i | ||||
\(331\) | −1.63199e10 | + | 3.72490e9i | −1.35958 | + | 0.310315i | −0.839294 | − | 0.543677i | \(-0.817032\pi\) |
−0.520285 | + | 0.853992i | \(0.674174\pi\) | |||||||
\(332\) | 1.53313e10 | + | 7.38318e9i | 1.26191 | + | 0.607702i | ||||
\(333\) | −4.32182e9 | − | 3.44654e9i | −0.351471 | − | 0.280289i | ||||
\(334\) | −5.02133e9 | − | 1.14609e9i | −0.403491 | − | 0.0920941i | ||||
\(335\) | 6.20110e9 | + | 4.94521e9i | 0.492368 | + | 0.392650i | ||||
\(336\) | 2.61036e8 | + | 1.14367e9i | 0.0204806 | + | 0.0897314i | ||||
\(337\) | 3.75338e9 | 0.291006 | 0.145503 | − | 0.989358i | \(-0.453520\pi\) | ||||
0.145503 | + | 0.989358i | \(0.453520\pi\) | |||||||
\(338\) | − | 6.74817e9i | − | 0.517034i | ||||||
\(339\) | 1.35634e9 | + | 5.94250e9i | 0.102700 | + | 0.449956i | ||||
\(340\) | −6.05575e9 | + | 4.82930e9i | −0.453161 | + | 0.361384i | ||||
\(341\) | 1.85906e10 | − | 8.95277e9i | 1.37492 | − | 0.662125i | ||||
\(342\) | −1.70370e8 | − | 8.20460e7i | −0.0124534 | − | 0.00599726i | ||||
\(343\) | 1.39028e10i | 1.00445i | ||||||||
\(344\) | −7.50817e7 | − | 1.27145e10i | −0.00536167 | − | 0.907961i | ||||
\(345\) | 1.63143e10 | 1.15157 | ||||||||
\(346\) | −2.76104e9 | + | 5.73335e9i | −0.192650 | + | 0.400041i | ||||
\(347\) | −1.07340e10 | − | 2.22894e10i | −0.740363 | − | 1.53738i | −0.840140 | − | 0.542370i | \(-0.817527\pi\) |
0.0997762 | − | 0.995010i | \(-0.468187\pi\) | |||||||
\(348\) | −3.89057e9 | − | 4.87861e9i | −0.265275 | − | 0.332644i | ||||
\(349\) | −1.96381e10 | + | 4.48226e9i | −1.32372 | + | 0.302131i | −0.825247 | − | 0.564772i | \(-0.808964\pi\) |
−0.498477 | + | 0.866903i | \(0.666107\pi\) | |||||||
\(350\) | 8.88324e8 | 0.0591970 | ||||||||
\(351\) | − | 2.09690e9i | − | 0.138149i | ||||||
\(352\) | 2.01200e10 | − | 4.59225e9i | 1.31056 | − | 0.299126i | ||||
\(353\) | −5.81445e9 | + | 7.29109e9i | −0.374464 | + | 0.469563i | −0.932979 | − | 0.359932i | \(-0.882800\pi\) |
0.558515 | + | 0.829495i | \(0.311371\pi\) | |||||||
\(354\) | 7.05969e8 | − | 3.09305e9i | 0.0449544 | − | 0.196958i | ||||
\(355\) | 4.57147e9 | − | 5.73245e9i | 0.287834 | − | 0.360933i | ||||
\(356\) | 3.27934e9 | − | 6.80963e9i | 0.204168 | − | 0.423959i | ||||
\(357\) | −1.01093e9 | − | 4.42918e9i | −0.0622370 | − | 0.272678i | ||||
\(358\) | 7.26027e9 | + | 3.49636e9i | 0.441998 | + | 0.212855i | ||||
\(359\) | 1.80759e10 | + | 2.26665e10i | 1.08823 | + | 1.36460i | 0.925857 | + | 0.377874i | \(0.123345\pi\) |
0.162377 | + | 0.986729i | \(0.448084\pi\) | |||||||
\(360\) | −2.32742e9 | + | 1.01971e10i | −0.138569 | + | 0.607109i | ||||
\(361\) | −3.77268e9 | + | 1.65292e10i | −0.222137 | + | 0.973247i | ||||
\(362\) | 3.42191e9 | + | 7.10567e9i | 0.199267 | + | 0.413781i | ||||
\(363\) | −5.62918e9 | + | 4.48912e9i | −0.324204 | + | 0.258544i | ||||
\(364\) | −8.61432e8 | − | 6.86969e8i | −0.0490699 | − | 0.0391319i | ||||
\(365\) | 7.15254e9 | − | 3.44448e9i | 0.402985 | − | 0.194067i | ||||
\(366\) | 2.34512e8 | + | 4.86968e8i | 0.0130689 | + | 0.0271379i | ||||
\(367\) | 9.33908e9 | − | 1.17108e10i | 0.514802 | − | 0.645541i | −0.454694 | − | 0.890647i | \(-0.650252\pi\) |
0.969496 | + | 0.245107i | \(0.0788230\pi\) | |||||||
\(368\) | 4.85498e9 | + | 6.08796e9i | 0.264726 | + | 0.331956i | ||||
\(369\) | −4.26932e9 | + | 2.05600e9i | −0.230279 | + | 0.110896i | ||||
\(370\) | 7.45267e9 | + | 1.70102e9i | 0.397654 | + | 0.0907618i | ||||
\(371\) | −1.54815e10 | − | 3.53354e9i | −0.817178 | − | 0.186516i | ||||
\(372\) | 7.72058e9 | − | 6.15695e9i | 0.403161 | − | 0.321510i | ||||
\(373\) | −5.44569e9 | + | 1.13081e10i | −0.281331 | + | 0.584190i | −0.992971 | − | 0.118354i | \(-0.962238\pi\) |
0.711640 | + | 0.702544i | \(0.247953\pi\) | |||||||
\(374\) | −9.64287e9 | + | 2.20092e9i | −0.492856 | + | 0.112491i | ||||
\(375\) | −9.63536e9 | − | 4.64014e9i | −0.487240 | − | 0.234642i | ||||
\(376\) | 1.87813e10 | + | 1.49776e10i | 0.939666 | + | 0.749359i | ||||
\(377\) | 2.66599e9 | + | 6.08496e8i | 0.131976 | + | 0.0301226i | ||||
\(378\) | −5.19624e9 | − | 4.14387e9i | −0.254520 | − | 0.202973i | ||||
\(379\) | −3.70232e9 | − | 1.62209e10i | −0.179439 | − | 0.786175i | −0.981889 | − | 0.189456i | \(-0.939328\pi\) |
0.802450 | − | 0.596719i | \(-0.203529\pi\) | |||||||
\(380\) | −6.79021e8 | −0.0325648 | ||||||||
\(381\) | 7.98289e9i | 0.378844i | ||||||||
\(382\) | −2.27593e9 | − | 9.97152e9i | −0.106882 | − | 0.468283i | ||||
\(383\) | 1.83451e9 | − | 1.46297e9i | 0.0852561 | − | 0.0679895i | −0.579934 | − | 0.814663i | \(-0.696922\pi\) |
0.665190 | + | 0.746674i | \(0.268350\pi\) | |||||||
\(384\) | 1.04238e10 | − | 5.01984e9i | 0.479404 | − | 0.230869i | ||||
\(385\) | −1.73880e10 | − | 8.37360e9i | −0.791417 | − | 0.381126i | ||||
\(386\) | 1.99885e9i | 0.0900389i | ||||||||
\(387\) | −8.89461e9 | − | 1.10194e10i | −0.396537 | − | 0.491262i | ||||
\(388\) | −1.61737e10 | −0.713647 | ||||||||
\(389\) | 1.17071e10 | − | 2.43101e10i | 0.511272 | − | 1.06167i | −0.472348 | − | 0.881412i | \(-0.656593\pi\) |
0.983620 | − | 0.180255i | \(-0.0576924\pi\) | |||||||
\(390\) | 4.86913e8 | + | 1.01108e9i | 0.0210471 | + | 0.0437048i | ||||
\(391\) | −1.88022e10 | − | 2.35772e10i | −0.804456 | − | 1.00876i | ||||
\(392\) | 1.27816e10 | − | 2.91731e9i | 0.541303 | − | 0.123549i | ||||
\(393\) | 1.84028e10 | 0.771462 | ||||||||
\(394\) | − | 2.05660e10i | − | 0.853423i | ||||||
\(395\) | −1.47871e10 | + | 3.37505e9i | −0.607426 | + | 0.138641i | ||||
\(396\) | 9.06605e9 | − | 1.13685e10i | 0.368670 | − | 0.462297i | ||||
\(397\) | 5.93190e9 | − | 2.59893e10i | 0.238799 | − | 1.04624i | −0.703296 | − | 0.710897i | \(-0.748289\pi\) |
0.942094 | − | 0.335348i | \(-0.108854\pi\) | |||||||
\(398\) | 7.48790e9 | − | 9.38954e9i | 0.298420 | − | 0.374207i | ||||
\(399\) | 1.72804e8 | − | 3.58830e8i | 0.00681806 | − | 0.0141579i | ||||
\(400\) | 2.49527e8 | + | 1.09325e9i | 0.00974714 | + | 0.0427050i | ||||
\(401\) | 8.26074e9 | + | 3.97816e9i | 0.319478 | + | 0.153853i | 0.586749 | − | 0.809769i | \(-0.300408\pi\) |
−0.267271 | + | 0.963621i | \(0.586122\pi\) | |||||||
\(402\) | 3.02215e9 | + | 3.78966e9i | 0.115721 | + | 0.145110i | ||||
\(403\) | −9.62966e8 | + | 4.21903e9i | −0.0365082 | + | 0.159953i | ||||
\(404\) | 6.39154e9 | − | 2.80032e10i | 0.239927 | − | 1.05119i | ||||
\(405\) | 3.79300e8 | + | 7.87625e8i | 0.0140982 | + | 0.0292752i | ||||
\(406\) | 6.77640e9 | − | 5.40400e9i | 0.249399 | − | 0.198889i | ||||
\(407\) | −1.98174e10 | − | 1.58038e10i | −0.722217 | − | 0.575949i | ||||
\(408\) | −1.01720e10 | + | 4.89856e9i | −0.367083 | + | 0.176778i | ||||
\(409\) | 5.83539e9 | + | 1.21173e10i | 0.208534 | + | 0.433025i | 0.978834 | − | 0.204657i | \(-0.0656078\pi\) |
−0.770300 | + | 0.637682i | \(0.779893\pi\) | |||||||
\(410\) | 4.08568e9 | − | 5.12328e9i | 0.144587 | − | 0.181306i | ||||
\(411\) | −2.60792e9 | − | 3.27023e9i | −0.0913961 | − | 0.114607i | ||||
\(412\) | −9.82400e9 | + | 4.73099e9i | −0.340957 | + | 0.164196i | ||||
\(413\) | −1.11559e10 | − | 2.54626e9i | −0.383446 | − | 0.0875189i | ||||
\(414\) | −1.66454e10 | − | 3.79920e9i | −0.566620 | − | 0.129327i | ||||
\(415\) | −4.88731e10 | + | 3.89750e10i | −1.64770 | + | 1.31400i | ||||
\(416\) | −1.87795e9 | + | 3.89960e9i | −0.0627062 | + | 0.130211i | ||||
\(417\) | 1.94892e10 | − | 4.44828e9i | 0.644540 | − | 0.147112i | ||||
\(418\) | −7.81218e8 | − | 3.76215e8i | −0.0255898 | − | 0.0123234i | ||||
\(419\) | −1.92389e10 | − | 1.53425e10i | −0.624200 | − | 0.497783i | 0.259558 | − | 0.965728i | \(-0.416423\pi\) |
−0.883758 | + | 0.467945i | \(0.844995\pi\) | |||||||
\(420\) | −9.00458e9 | − | 2.05524e9i | −0.289379 | − | 0.0660488i | ||||
\(421\) | 4.16048e10 | + | 3.31787e10i | 1.32439 | + | 1.05616i | 0.993659 | + | 0.112438i | \(0.0358661\pi\) |
0.330729 | + | 0.943726i | \(0.392705\pi\) | |||||||
\(422\) | 2.99951e9 | + | 1.31417e10i | 0.0945802 | + | 0.414383i | ||||
\(423\) | 2.67550e10 | 0.835686 | ||||||||
\(424\) | 3.94624e10i | 1.22101i | ||||||||
\(425\) | −9.66359e8 | − | 4.23390e9i | −0.0296198 | − | 0.129773i | ||||
\(426\) | 3.50325e9 | − | 2.79375e9i | 0.106373 | − | 0.0848300i | ||||
\(427\) | 1.75638e9 | − | 8.45826e8i | 0.0528331 | − | 0.0254431i | ||||
\(428\) | −3.46776e10 | − | 1.66998e10i | −1.03341 | − | 0.497665i | ||||
\(429\) | − | 3.72110e9i | − | 0.109861i | ||||||
\(430\) | 1.76938e10 | + | 8.39255e9i | 0.517545 | + | 0.245482i | ||||
\(431\) | 6.34019e9 | 0.183736 | 0.0918678 | − | 0.995771i | \(-0.470716\pi\) | ||||
0.0918678 | + | 0.995771i | \(0.470716\pi\) | |||||||
\(432\) | 3.64019e9 | − | 7.55894e9i | 0.104518 | − | 0.217033i | ||||
\(433\) | 2.57336e10 | + | 5.34365e10i | 0.732065 | + | 1.52015i | 0.849801 | + | 0.527104i | \(0.176722\pi\) |
−0.117736 | + | 0.993045i | \(0.537564\pi\) | |||||||
\(434\) | 8.55201e9 | + | 1.07239e10i | 0.241051 | + | 0.302269i | ||||
\(435\) | 2.23482e10 | − | 5.10083e9i | 0.624145 | − | 0.142457i | ||||
\(436\) | 2.27439e10 | 0.629388 | ||||||||
\(437\) | − | 2.64368e9i | − | 0.0724908i | ||||||
\(438\) | 4.72992e9 | − | 1.07957e9i | 0.128516 | − | 0.0293330i | ||||
\(439\) | 8.72357e9 | − | 1.09390e10i | 0.234875 | − | 0.294523i | −0.650400 | − | 0.759592i | \(-0.725399\pi\) |
0.885275 | + | 0.465068i | \(0.153970\pi\) | |||||||
\(440\) | −1.06722e10 | + | 4.67579e10i | −0.284736 | + | 1.24751i | ||||
\(441\) | 9.10404e9 | − | 1.14161e10i | 0.240702 | − | 0.301831i | ||||
\(442\) | 9.00042e8 | − | 1.86896e9i | 0.0235816 | − | 0.0489678i | ||||
\(443\) | −7.98042e9 | − | 3.49645e10i | −0.207210 | − | 0.907846i | −0.966413 | − | 0.256993i | \(-0.917268\pi\) |
0.759203 | − | 0.650854i | \(-0.225589\pi\) | |||||||
\(444\) | −1.09294e10 | − | 5.26330e9i | −0.281231 | − | 0.135434i | ||||
\(445\) | 1.73113e10 | + | 2.17077e10i | 0.441458 | + | 0.553571i | ||||
\(446\) | −4.00099e9 | + | 1.75295e10i | −0.101118 | + | 0.443026i | ||||
\(447\) | 5.31270e9 | − | 2.32764e10i | 0.133071 | − | 0.583024i | ||||
\(448\) | 3.30292e9 | + | 6.85859e9i | 0.0819948 | + | 0.170264i | ||||
\(449\) | −1.37955e8 | + | 1.10015e8i | −0.00339431 | + | 0.00270687i | −0.625185 | − | 0.780476i | \(-0.714977\pi\) |
0.621791 | + | 0.783183i | \(0.286405\pi\) | |||||||
\(450\) | −1.92230e9 | − | 1.53299e9i | −0.0468783 | − | 0.0373842i | ||||
\(451\) | −1.95766e10 | + | 9.42760e9i | −0.473186 | + | 0.227874i | ||||
\(452\) | −9.93853e9 | − | 2.06376e10i | −0.238105 | − | 0.494430i | ||||
\(453\) | −1.90226e10 | + | 2.38536e10i | −0.451728 | + | 0.566449i | ||||
\(454\) | −1.90917e10 | − | 2.39402e10i | −0.449387 | − | 0.563514i | ||||
\(455\) | 3.64674e9 | − | 1.75618e9i | 0.0850861 | − | 0.0409753i | ||||
\(456\) | −9.64930e8 | − | 2.20239e8i | −0.0223170 | − | 0.00509372i | ||||
\(457\) | 5.77684e10 | + | 1.31853e10i | 1.32442 | + | 0.302290i | 0.825522 | − | 0.564370i | \(-0.190881\pi\) |
0.498898 | + | 0.866660i | \(0.333738\pi\) | |||||||
\(458\) | 1.62400e10 | − | 1.29510e10i | 0.369083 | − | 0.294334i | ||||
\(459\) | −1.40976e10 | + | 2.92740e10i | −0.317611 | + | 0.659525i | ||||
\(460\) | −5.97713e10 | + | 1.36424e10i | −1.33494 | + | 0.304691i | ||||
\(461\) | −1.25565e10 | − | 6.04687e9i | −0.278012 | − | 0.133883i | 0.289683 | − | 0.957123i | \(-0.406450\pi\) |
−0.567695 | + | 0.823239i | \(0.692165\pi\) | |||||||
\(462\) | −9.22111e9 | − | 7.35359e9i | −0.202402 | − | 0.161410i | ||||
\(463\) | −3.80083e10 | − | 8.67516e9i | −0.827094 | − | 0.188779i | −0.212037 | − | 0.977262i | \(-0.568010\pi\) |
−0.615057 | + | 0.788483i | \(0.710867\pi\) | |||||||
\(464\) | 8.55409e9 | + | 6.82166e9i | 0.184545 | + | 0.147170i | ||||
\(465\) | 8.07224e9 | + | 3.53668e10i | 0.172656 | + | 0.756457i | ||||
\(466\) | 2.27694e10 | 0.482846 | ||||||||
\(467\) | 3.73257e10i | 0.784767i | 0.919802 | + | 0.392383i | \(0.128349\pi\) | ||||
−0.919802 | + | 0.392383i | \(0.871651\pi\) | |||||||
\(468\) | 6.78603e8 | + | 2.97315e9i | 0.0141460 | + | 0.0619775i | ||||
\(469\) | 1.36684e10 | − | 1.09002e10i | 0.282505 | − | 0.225290i | ||||
\(470\) | −3.33350e10 | + | 1.60533e10i | −0.683138 | + | 0.328982i | ||||
\(471\) | 1.92576e10 | + | 9.27398e9i | 0.391308 | + | 0.188444i | ||||
\(472\) | 2.84365e10i | 0.572938i | ||||||||
\(473\) | −4.07855e10 | − | 5.05284e10i | −0.814819 | − | 1.00946i | ||||
\(474\) | −9.26916e9 | −0.183623 | ||||||||
\(475\) | 1.65185e8 | − | 3.43010e8i | 0.00324486 | − | 0.00673801i | ||||
\(476\) | 7.40758e9 | + | 1.53820e10i | 0.144294 | + | 0.299630i | ||||
\(477\) | 2.74035e10 | + | 3.43629e10i | 0.529337 | + | 0.663768i | ||||
\(478\) | 2.60500e10 | − | 5.94574e9i | 0.498994 | − | 0.113892i | ||||
\(479\) | −5.34484e10 | −1.01530 | −0.507648 | − | 0.861565i | \(-0.669485\pi\) | ||||
−0.507648 | + | 0.861565i | \(0.669485\pi\) | |||||||
\(480\) | 3.62822e10i | 0.683485i | ||||||||
\(481\) | 5.18276e9 | − | 1.18293e9i | 0.0968234 | − | 0.0220993i | ||||
\(482\) | 2.86997e10 | − | 3.59882e10i | 0.531727 | − | 0.666764i | ||||
\(483\) | 8.00179e9 | − | 3.50581e10i | 0.147027 | − | 0.644170i | ||||
\(484\) | 1.68699e10 | − | 2.11542e10i | 0.307420 | − | 0.385493i | ||||
\(485\) | 2.57793e10 | − | 5.35312e10i | 0.465912 | − | 0.967476i | ||||
\(486\) | 6.60264e9 | + | 2.89281e10i | 0.118351 | + | 0.518530i | ||||
\(487\) | −7.71874e10 | − | 3.71715e10i | −1.37224 | − | 0.660836i | −0.404911 | − | 0.914356i | \(-0.632697\pi\) |
−0.967330 | + | 0.253520i | \(0.918412\pi\) | |||||||
\(488\) | −3.02052e9 | − | 3.78761e9i | −0.0532601 | − | 0.0667860i | ||||
\(489\) | −1.08415e10 | + | 4.74996e10i | −0.189606 | + | 0.830720i | ||||
\(490\) | −4.49326e9 | + | 1.96862e10i | −0.0779429 | + | 0.341490i | ||||
\(491\) | 1.66664e10 | + | 3.46081e10i | 0.286758 | + | 0.595459i | 0.993733 | − | 0.111779i | \(-0.0356550\pi\) |
−0.706975 | + | 0.707238i | \(0.749941\pi\) | |||||||
\(492\) | −8.13005e9 | + | 6.48350e9i | −0.138750 | + | 0.110649i | ||||
\(493\) | −3.31280e10 | − | 2.64187e10i | −0.560799 | − | 0.447222i | ||||
\(494\) | 1.63843e8 | − | 7.89027e7i | 0.00275119 | − | 0.00132490i | ||||
\(495\) | 2.31766e10 | + | 4.81266e10i | 0.386036 | + | 0.801613i | ||||
\(496\) | −1.07955e10 | + | 1.35371e10i | −0.178368 | + | 0.223666i | ||||
\(497\) | −1.00764e10 | − | 1.26354e10i | −0.165150 | − | 0.207092i | ||||
\(498\) | −3.44190e10 | + | 1.65753e10i | −0.559604 | + | 0.269491i | ||||
\(499\) | −6.98632e10 | − | 1.59458e10i | −1.12680 | − | 0.257184i | −0.381797 | − | 0.924246i | \(-0.624695\pi\) |
−0.745002 | + | 0.667062i | \(0.767552\pi\) | |||||||
\(500\) | 3.91817e10 | + | 8.94296e9i | 0.626907 | + | 0.143087i | ||||
\(501\) | −2.34743e10 | + | 1.87201e10i | −0.372599 | + | 0.297138i | ||||
\(502\) | 1.98305e10 | − | 4.11784e10i | 0.312262 | − | 0.648418i | ||||
\(503\) | −2.23875e10 | + | 5.10981e9i | −0.349731 | + | 0.0798238i | −0.393778 | − | 0.919206i | \(-0.628832\pi\) |
0.0440469 | + | 0.999029i | \(0.485975\pi\) | |||||||
\(504\) | 2.07712e10 | + | 1.00029e10i | 0.321914 | + | 0.155026i | ||||
\(505\) | 8.24963e10 | + | 6.57886e10i | 1.26844 | + | 1.01154i | ||||
\(506\) | −7.63259e10 | − | 1.74209e10i | −1.16431 | − | 0.265747i | ||||
\(507\) | −3.07561e10 | − | 2.45272e10i | −0.465479 | − | 0.371207i | ||||
\(508\) | −6.67549e9 | − | 2.92472e10i | −0.100237 | − | 0.439167i | ||||
\(509\) | 3.34098e10 | 0.497741 | 0.248870 | − | 0.968537i | \(-0.419941\pi\) | ||||
0.248870 | + | 0.968537i | \(0.419941\pi\) | |||||||
\(510\) | − | 1.73889e10i | − | 0.257035i | ||||||
\(511\) | −3.89376e9 | − | 1.70597e10i | −0.0571065 | − | 0.250200i | ||||
\(512\) | −2.54031e10 | + | 2.02583e10i | −0.369664 | + | 0.294797i | ||||
\(513\) | −2.56632e9 | + | 1.23587e9i | −0.0370545 | + | 0.0178445i | ||||
\(514\) | 2.92355e10 | + | 1.40791e10i | 0.418849 | + | 0.201707i | ||||
\(515\) | − | 4.00558e10i | − | 0.569425i | ||||||
\(516\) | −2.44106e10 | − | 1.92321e10i | −0.344334 | − | 0.271286i | ||||
\(517\) | 1.22683e11 | 1.71720 | ||||||||
\(518\) | 7.31073e9 | − | 1.51809e10i | 0.101541 | − | 0.210852i | ||||
\(519\) | 1.60955e10 | + | 3.34227e10i | 0.221838 | + | 0.460651i | ||||
\(520\) | −6.27145e9 | − | 7.86415e9i | −0.0857738 | − | 0.107557i | ||||
\(521\) | 1.08092e11 | − | 2.46714e10i | 1.46705 | − | 0.334844i | 0.586946 | − | 0.809626i | \(-0.300330\pi\) |
0.880103 | + | 0.474782i | \(0.157473\pi\) | |||||||
\(522\) | −2.39896e10 | −0.323103 | ||||||||
\(523\) | 1.51591e10i | 0.202613i | 0.994855 | + | 0.101306i | \(0.0323022\pi\) | ||||
−0.994855 | + | 0.101306i | \(0.967698\pi\) | |||||||
\(524\) | −6.74233e10 | + | 1.53889e10i | −0.894303 | + | 0.204119i | ||||
\(525\) | 3.22874e9 | − | 4.04872e9i | 0.0425007 | − | 0.0532942i | ||||
\(526\) | −1.00634e10 | + | 4.40905e10i | −0.131462 | + | 0.575972i | ||||
\(527\) | 4.18085e10 | − | 5.24262e10i | 0.542028 | − | 0.679682i | ||||
\(528\) | 6.45979e9 | − | 1.34139e10i | 0.0831156 | − | 0.172591i | ||||
\(529\) | −3.56891e10 | − | 1.56364e11i | −0.455735 | − | 1.99671i | ||||
\(530\) | −5.47611e10 | − | 2.63715e10i | −0.694014 | − | 0.334220i | ||||
\(531\) | 1.97468e10 | + | 2.47618e10i | 0.248382 | + | 0.311461i | ||||
\(532\) | −3.33045e8 | + | 1.45916e9i | −0.00415773 | + | 0.0182162i | ||||
\(533\) | 1.01404e9 | − | 4.44279e9i | 0.0125645 | − | 0.0550487i | ||||
\(534\) | 7.36216e9 | + | 1.52877e10i | 0.0905400 | + | 0.188008i | ||||
\(535\) | 1.10545e11 | − | 8.81566e10i | 1.34935 | − | 1.07607i | ||||
\(536\) | −3.39673e10 | − | 2.70880e10i | −0.411530 | − | 0.328185i | ||||
\(537\) | 4.23238e10 | − | 2.03821e10i | 0.508965 | − | 0.245105i | ||||
\(538\) | −1.66728e10 | − | 3.46214e10i | −0.199012 | − | 0.413252i | ||||
\(539\) | 4.17458e10 | − | 5.23476e10i | 0.494604 | − | 0.620214i | ||||
\(540\) | 4.11853e10 | + | 5.16447e10i | 0.484359 | + | 0.607367i | ||||
\(541\) | 6.77695e10 | − | 3.26361e10i | 0.791125 | − | 0.380986i | 0.00573232 | − | 0.999984i | \(-0.498175\pi\) |
0.785393 | + | 0.618998i | \(0.212461\pi\) | |||||||
\(542\) | −1.85244e10 | − | 4.22808e9i | −0.214658 | − | 0.0489943i | ||||
\(543\) | 4.48229e10 | + | 1.02305e10i | 0.515586 | + | 0.117679i | ||||
\(544\) | 5.24347e10 | − | 4.18153e10i | 0.598719 | − | 0.477462i | ||||
\(545\) | −3.62514e10 | + | 7.52768e10i | −0.410902 | + | 0.853247i | ||||
\(546\) | 2.41156e9 | − | 5.50423e8i | 0.0271349 | − | 0.00619336i | ||||
\(547\) | −9.17001e9 | − | 4.41605e9i | −0.102428 | − | 0.0493269i | 0.381968 | − | 0.924176i | \(-0.375246\pi\) |
−0.484396 | + | 0.874849i | \(0.660961\pi\) | |||||||
\(548\) | 1.22894e10 | + | 9.80048e9i | 0.136273 | + | 0.108674i | ||||
\(549\) | −5.26038e9 | − | 1.20065e9i | −0.0579066 | − | 0.0132168i | ||||
\(550\) | −8.81456e9 | − | 7.02938e9i | −0.0963274 | − | 0.0768185i | ||||
\(551\) | −8.26574e8 | − | 3.62146e9i | −0.00896758 | − | 0.0392895i | ||||
\(552\) | −8.93636e10 | −0.962508 | ||||||||
\(553\) | 3.34316e10i | 0.357484i | ||||||||
\(554\) | 3.32658e9 | + | 1.45747e10i | 0.0353150 | + | 0.154725i | ||||
\(555\) | 3.48405e10 | − | 2.77844e10i | 0.367209 | − | 0.292839i | ||||
\(556\) | −6.76836e10 | + | 3.25947e10i | −0.708246 | + | 0.341073i | ||||
\(557\) | −1.38122e11 | − | 6.65161e10i | −1.43497 | − | 0.691045i | −0.455055 | − | 0.890464i | \(-0.650380\pi\) |
−0.979914 | + | 0.199419i | \(0.936095\pi\) | |||||||
\(558\) | − | 3.79644e10i | − | 0.391597i | ||||||
\(559\) | 1.36185e10 | − | 8.04195e7i | 0.139470 | − | 0.000823596i | ||||
\(560\) | 1.61945e10 | 0.164671 | ||||||||
\(561\) | −2.50172e10 | + | 5.19488e10i | −0.252574 | + | 0.524475i | ||||
\(562\) | 1.20017e10 | + | 2.49219e10i | 0.120309 | + | 0.249825i | ||||
\(563\) | −1.05450e10 | − | 1.32230e10i | −0.104957 | − | 0.131612i | 0.726579 | − | 0.687083i | \(-0.241109\pi\) |
−0.831536 | + | 0.555471i | \(0.812538\pi\) | |||||||
\(564\) | 5.72411e10 | − | 1.30649e10i | 0.565707 | − | 0.129119i | ||||
\(565\) | 8.41464e10 | 0.825737 | ||||||||
\(566\) | − | 3.90280e10i | − | 0.380286i | ||||||
\(567\) | 1.87858e9 | − | 4.28774e8i | 0.0181760 | − | 0.00414855i | ||||
\(568\) | −2.50408e10 | + | 3.14002e10i | −0.240578 | + | 0.301675i | ||||
\(569\) | 3.72282e10 | − | 1.63107e11i | 0.355159 | − | 1.55605i | −0.409923 | − | 0.912120i | \(-0.634444\pi\) |
0.765082 | − | 0.643933i | \(-0.222699\pi\) | |||||||
\(570\) | 9.50454e8 | − | 1.19183e9i | 0.00900392 | − | 0.0112906i | ||||
\(571\) | −8.32399e10 | + | 1.72849e11i | −0.783045 | + | 1.62601i | −0.00323522 | + | 0.999995i | \(0.501030\pi\) |
−0.779810 | + | 0.626016i | \(0.784684\pi\) | |||||||
\(572\) | 3.11167e9 | + | 1.36331e10i | 0.0290677 | + | 0.127354i | ||||
\(573\) | −5.37194e10 | − | 2.58699e10i | −0.498325 | − | 0.239981i | ||||
\(574\) | −9.00559e9 | − | 1.12927e10i | −0.0829592 | − | 0.104028i | ||||
\(575\) | 7.64899e9 | − | 3.35124e10i | 0.0699734 | − | 0.306573i | ||||
\(576\) | 4.68849e9 | − | 2.05416e10i | 0.0425935 | − | 0.186614i | ||||
\(577\) | 4.93690e8 | + | 1.02516e9i | 0.00445401 | + | 0.00924885i | 0.903184 | − | 0.429254i | \(-0.141223\pi\) |
−0.898730 | + | 0.438502i | \(0.855509\pi\) | |||||||
\(578\) | 2.08821e10 | − | 1.66529e10i | 0.187095 | − | 0.149204i | ||||
\(579\) | 9.11014e9 | + | 7.26509e9i | 0.0810608 | + | 0.0646438i | ||||
\(580\) | −7.76126e10 | + | 3.73763e10i | −0.685836 | + | 0.330281i | ||||
\(581\) | 5.97831e10 | + | 1.24141e11i | 0.524655 | + | 1.08946i | ||||
\(582\) | 2.26390e10 | − | 2.83885e10i | 0.197318 | − | 0.247429i | ||||
\(583\) | 1.25656e11 | + | 1.57568e11i | 1.08770 | + | 1.36394i | ||||
\(584\) | −3.91789e10 | + | 1.88676e10i | −0.336822 | + | 0.162205i | ||||
\(585\) | −1.09220e10 | − | 2.49289e9i | −0.0932568 | − | 0.0212853i | ||||
\(586\) | 6.44950e10 | + | 1.47206e10i | 0.546935 | + | 0.124834i | ||||
\(587\) | −3.32784e10 | + | 2.65386e10i | −0.280291 | + | 0.223525i | −0.753537 | − | 0.657406i | \(-0.771654\pi\) |
0.473246 | + | 0.880931i | \(0.343082\pi\) | |||||||
\(588\) | 1.39030e10 | − | 2.88699e10i | 0.116305 | − | 0.241511i | ||||
\(589\) | 5.73108e9 | − | 1.30808e9i | 0.0476184 | − | 0.0108686i | ||||
\(590\) | −3.94606e10 | − | 1.90032e10i | −0.325653 | − | 0.156826i | ||||
\(591\) | −9.37335e10 | − | 7.47500e10i | −0.768325 | − | 0.612719i | ||||
\(592\) | 2.07365e10 | + | 4.73296e9i | 0.168829 | + | 0.0385342i | ||||
\(593\) | −7.37665e10 | − | 5.88268e10i | −0.596541 | − | 0.475725i | 0.278064 | − | 0.960563i | \(-0.410307\pi\) |
−0.874604 | + | 0.484837i | \(0.838879\pi\) | |||||||
\(594\) | 1.87699e10 | + | 8.22365e10i | 0.150771 | + | 0.660570i | ||||
\(595\) | −6.27176e10 | −0.500405 | ||||||||
\(596\) | 8.97215e10i | 0.711068i | ||||||||
\(597\) | −1.55788e10 | − | 6.82552e10i | −0.122641 | − | 0.537327i | ||||
\(598\) | 1.28371e10 | − | 1.02373e10i | 0.100384 | − | 0.0800534i | ||||
\(599\) | 3.63836e9 | − | 1.75214e9i | 0.0282617 | − | 0.0136101i | −0.419700 | − | 0.907663i | \(-0.637865\pi\) |
0.447961 | + | 0.894053i | \(0.352150\pi\) | |||||||
\(600\) | −1.15947e10 | − | 5.58370e9i | −0.0894650 | − | 0.0430841i | ||||
\(601\) | 7.39716e10i | 0.566979i | 0.958975 | + | 0.283490i | \(0.0914922\pi\) | ||||
−0.958975 | + | 0.283490i | \(0.908508\pi\) | |||||||
\(602\) | 2.67134e10 | − | 3.39063e10i | 0.203396 | − | 0.258163i | ||||
\(603\) | −4.83883e10 | −0.365992 | ||||||||
\(604\) | 4.97469e10 | − | 1.03300e11i | 0.373782 | − | 0.776166i | ||||
\(605\) | 4.31265e10 | + | 8.95532e10i | 0.321902 | + | 0.668435i | ||||
\(606\) | 4.02052e10 | + | 5.04157e10i | 0.298120 | + | 0.373831i | ||||
\(607\) | −3.31744e10 | + | 7.57184e9i | −0.244370 | + | 0.0557759i | −0.342952 | − | 0.939353i | \(-0.611427\pi\) |
0.0985814 | + | 0.995129i | \(0.468570\pi\) | |||||||
\(608\) | 5.87942e9 | 0.0430249 | ||||||||
\(609\) | − | 5.05264e10i | − | 0.367324i | ||||||
\(610\) | 7.27449e9 | − | 1.66036e9i | 0.0525392 | − | 0.0119917i | ||||
\(611\) | −1.60424e10 | + | 2.01165e10i | −0.115107 | + | 0.144340i | ||||
\(612\) | 1.05150e10 | − | 4.60694e10i | 0.0749558 | − | 0.328403i | ||||
\(613\) | −4.99712e10 | + | 6.26619e10i | −0.353898 | + | 0.443774i | −0.926633 | − | 0.375966i | \(-0.877311\pi\) |
0.572735 | + | 0.819740i | \(0.305882\pi\) | |||||||
\(614\) | −2.97168e10 | + | 6.17076e10i | −0.209088 | + | 0.434176i | ||||
\(615\) | −8.50037e9 | − | 3.72426e10i | −0.0594207 | − | 0.260339i | ||||
\(616\) | 9.52447e10 | + | 4.58674e10i | 0.661482 | + | 0.318553i | ||||
\(617\) | −5.86280e9 | − | 7.35172e9i | −0.0404543 | − | 0.0507281i | 0.761193 | − | 0.648526i | \(-0.224614\pi\) |
−0.801647 | + | 0.597798i | \(0.796043\pi\) | |||||||
\(618\) | 5.44713e9 | − | 2.38654e10i | 0.0373434 | − | 0.163612i | ||||
\(619\) | −1.76077e10 | + | 7.71444e10i | −0.119933 | + | 0.525463i | 0.878893 | + | 0.477020i | \(0.158283\pi\) |
−0.998826 | + | 0.0484428i | \(0.984574\pi\) | |||||||
\(620\) | −5.91492e10 | − | 1.22825e11i | −0.400297 | − | 0.831225i | ||||
\(621\) | −2.01072e11 | + | 1.60349e11i | −1.35203 | + | 1.07820i | ||||
\(622\) | 1.97042e10 | + | 1.57135e10i | 0.131643 | + | 0.104981i | ||||
\(623\) | 5.51389e10 | − | 2.65535e10i | 0.366021 | − | 0.176267i | ||||
\(624\) | 1.35480e9 | + | 2.81326e9i | 0.00893585 | + | 0.0185555i | ||||
\(625\) | −1.09186e11 | + | 1.36915e11i | −0.715563 | + | 0.897287i | ||||
\(626\) | 3.16453e10 | + | 3.96820e10i | 0.206069 | + | 0.258402i | ||||
\(627\) | −4.55412e9 | + | 2.19315e9i | −0.0294669 | + | 0.0141905i | ||||
\(628\) | −7.83100e10 | − | 1.78738e10i | −0.503476 | − | 0.114915i | ||||
\(629\) | −8.03075e10 | − | 1.83297e10i | −0.513042 | − | 0.117099i | ||||
\(630\) | −2.77616e10 | + | 2.21391e10i | −0.176231 | + | 0.140539i | ||||
\(631\) | −1.14160e11 | + | 2.37057e11i | −0.720109 | + | 1.49532i | 0.142686 | + | 0.989768i | \(0.454426\pi\) |
−0.862795 | + | 0.505554i | \(0.831288\pi\) | |||||||
\(632\) | 8.09979e10 | − | 1.84873e10i | 0.507698 | − | 0.115879i | ||||
\(633\) | 7.07981e10 | + | 3.40946e10i | 0.440968 | + | 0.212359i | ||||
\(634\) | 6.26847e10 | + | 4.99894e10i | 0.387976 | + | 0.309401i | ||||
\(635\) | 1.07441e11 | + | 2.45228e10i | 0.660810 | + | 0.150826i | ||||
\(636\) | 7.54086e10 | + | 6.01364e10i | 0.460885 | + | 0.367544i | ||||
\(637\) | 3.12471e9 | + | 1.36903e10i | 0.0189781 | + | 0.0831484i | ||||
\(638\) | −1.10002e11 | −0.663925 | ||||||||
\(639\) | 4.47314e10i | 0.268293i | ||||||||
\(640\) | −3.55408e10 | − | 1.55714e11i | −0.211839 | − | 0.928129i | ||||
\(641\) | −1.94343e11 | + | 1.54983e11i | −1.15116 | + | 0.918021i | −0.997539 | − | 0.0701089i | \(-0.977665\pi\) |
−0.153622 | + | 0.988130i | \(0.549094\pi\) | |||||||
\(642\) | 7.78515e10 | − | 3.74913e10i | 0.458276 | − | 0.220694i | ||||
\(643\) | −1.83990e11 | − | 8.86047e10i | −1.07634 | − | 0.518338i | −0.190195 | − | 0.981746i | \(-0.560912\pi\) |
−0.886145 | + | 0.463408i | \(0.846626\pi\) | |||||||
\(644\) | 1.35135e11i | 0.785643i | ||||||||
\(645\) | 1.02562e11 | − | 5.01393e10i | 0.592578 | − | 0.289694i | ||||
\(646\) | −2.81782e9 | −0.0161802 | ||||||||
\(647\) | 1.17368e9 | − | 2.43718e9i | 0.00669782 | − | 0.0139082i | −0.897593 | − | 0.440825i | \(-0.854686\pi\) |
0.904291 | + | 0.426917i | \(0.140400\pi\) | |||||||
\(648\) | −2.07766e9 | − | 4.31432e9i | −0.0117835 | − | 0.0244688i | ||||
\(649\) | 9.05475e10 | + | 1.13543e11i | 0.510385 | + | 0.640002i | ||||
\(650\) | 2.30524e9 | − | 5.26155e8i | 0.0129140 | − | 0.00294755i | ||||
\(651\) | 7.99598e10 | 0.445192 | ||||||||
\(652\) | − | 1.83092e11i | − | 1.01316i | ||||||
\(653\) | 3.25766e11 | − | 7.43540e10i | 1.79165 | − | 0.408932i | 0.808023 | − | 0.589151i | \(-0.200538\pi\) |
0.983627 | + | 0.180218i | \(0.0576804\pi\) | |||||||
\(654\) | −3.18355e10 | + | 3.99205e10i | −0.174021 | + | 0.218215i | ||||
\(655\) | 5.65321e10 | − | 2.47683e11i | 0.307135 | − | 1.34565i | ||||
\(656\) | 1.13681e10 | − | 1.42551e10i | 0.0613863 | − | 0.0769760i | ||||
\(657\) | −2.10140e10 | + | 4.36360e10i | −0.112784 | + | 0.234198i | ||||
\(658\) | 1.81472e10 | + | 7.95080e10i | 0.0968067 | + | 0.424138i | ||||
\(659\) | −6.10061e10 | − | 2.93790e10i | −0.323468 | − | 0.155774i | 0.265101 | − | 0.964221i | \(-0.414595\pi\) |
−0.588570 | + | 0.808446i | \(0.700309\pi\) | |||||||
\(660\) | 7.30863e10 | + | 9.16474e10i | 0.385177 | + | 0.482997i | ||||
\(661\) | −1.17539e10 | + | 5.14973e10i | −0.0615711 | + | 0.269761i | −0.996338 | − | 0.0855007i | \(-0.972751\pi\) |
0.934767 | + | 0.355261i | \(0.115608\pi\) | |||||||
\(662\) | −3.14257e10 | + | 1.37685e11i | −0.163627 | + | 0.716895i | ||||
\(663\) | −5.24681e9 | − | 1.08951e10i | −0.0271545 | − | 0.0563868i | ||||
\(664\) | 2.67709e11 | − | 2.13490e11i | 1.37718 | − | 1.09826i | ||||
\(665\) | −4.29864e9 | − | 3.42805e9i | −0.0219809 | − | 0.0175292i | ||||
\(666\) | −4.20179e10 | + | 2.02347e10i | −0.213569 | + | 0.102849i | ||||
\(667\) | −1.45519e11 | − | 3.02174e11i | −0.735221 | − | 1.52670i | ||||
\(668\) | 7.03495e10 | − | 8.82154e10i | 0.353309 | − | 0.443036i | ||||
\(669\) | 6.53519e10 | + | 8.19487e10i | 0.326252 | + | 0.409108i | ||||
\(670\) | 6.02887e10 | − | 2.90335e10i | 0.299183 | − | 0.144079i | ||||
\(671\) | −2.41210e10 | − | 5.50547e9i | −0.118989 | − | 0.0271584i | ||||
\(672\) | 7.79676e10 | + | 1.77956e10i | 0.382329 | + | 0.0872641i | ||||
\(673\) | 9.10485e10 | − | 7.26088e10i | 0.443826 | − | 0.353939i | −0.375934 | − | 0.926646i | \(-0.622678\pi\) |
0.819760 | + | 0.572707i | \(0.194107\pi\) | |||||||
\(674\) | 1.37393e10 | − | 2.85301e10i | 0.0665774 | − | 0.138249i | ||||
\(675\) | −3.61076e10 | + | 8.24132e9i | −0.173934 | + | 0.0396992i | ||||
\(676\) | 1.33193e11 | + | 6.41423e10i | 0.637814 | + | 0.307155i | ||||
\(677\) | −2.54409e11 | − | 2.02885e11i | −1.21110 | − | 0.965817i | −0.211164 | − | 0.977451i | \(-0.567725\pi\) |
−0.999932 | + | 0.0116338i | \(0.996297\pi\) | |||||||
\(678\) | 5.01348e10 | + | 1.14429e10i | 0.237258 | + | 0.0541526i | ||||
\(679\) | −1.02390e11 | − | 8.16535e10i | −0.481703 | − | 0.384145i | ||||
\(680\) | 3.46820e10 | + | 1.51952e11i | 0.162207 | + | 0.710674i | ||||
\(681\) | −1.78504e11 | −0.829963 | ||||||||
\(682\) | − | 1.74082e11i | − | 0.804669i | ||||||
\(683\) | 2.47198e10 | + | 1.08304e11i | 0.113596 | + | 0.497695i | 0.999432 | + | 0.0336976i | \(0.0107283\pi\) |
−0.885836 | + | 0.463998i | \(0.846415\pi\) | |||||||
\(684\) | 3.23878e9 | − | 2.58284e9i | 0.0147964 | − | 0.0117998i | ||||
\(685\) | −5.20253e10 | + | 2.50541e10i | −0.236294 | + | 0.113793i | ||||
\(686\) | 1.05678e11 | + | 5.08918e10i | 0.477186 | + | 0.229801i | ||||
\(687\) | − | 1.21089e11i | − | 0.543598i | ||||||
\(688\) | 4.92317e10 | + | 2.33516e10i | 0.219731 | + | 0.104223i | ||||
\(689\) | −4.22680e10 | −0.187557 | ||||||||
\(690\) | 5.97189e10 | − | 1.24008e11i | 0.263461 | − | 0.547082i | ||||
\(691\) | −1.02794e11 | − | 2.13454e11i | −0.450874 | − | 0.936250i | −0.995245 | − | 0.0974054i | \(-0.968946\pi\) |
0.544370 | − | 0.838845i | \(-0.316769\pi\) | |||||||
\(692\) | −8.69187e10 | − | 1.08993e11i | −0.379043 | − | 0.475305i | ||||
\(693\) | 1.14788e11 | − | 2.61996e10i | 0.497695 | − | 0.113596i | ||||
\(694\) | −2.08718e11 | −0.899751 | ||||||||
\(695\) | − | 2.75969e11i | − | 1.18283i | ||||||
\(696\) | −1.22415e11 | + | 2.79405e10i | −0.521673 | + | 0.119068i | ||||
\(697\) | −4.40259e10 | + | 5.52067e10i | −0.186542 | + | 0.233916i | ||||
\(698\) | −3.78154e10 | + | 1.65680e11i | −0.159311 | + | 0.697988i | ||||
\(699\) | 8.27587e10 | − | 1.03776e11i | 0.346661 | − | 0.434699i | ||||
\(700\) | −8.44364e9 | + | 1.75334e10i | −0.0351672 | + | 0.0730254i | ||||
\(701\) | 5.57638e10 | + | 2.44317e11i | 0.230930 | + | 1.01177i | 0.948870 | + | 0.315666i | \(0.102228\pi\) |
−0.717940 | + | 0.696105i | \(0.754915\pi\) | |||||||
\(702\) | −1.59389e10 | − | 7.67576e9i | −0.0656310 | − | 0.0316062i | ||||
\(703\) | −4.50237e9 | − | 5.64580e9i | −0.0184340 | − | 0.0231155i | ||||
\(704\) | 2.14987e10 | − | 9.41918e10i | 0.0875227 | − | 0.383462i | ||||
\(705\) | −4.79947e10 | + | 2.10279e11i | −0.194284 | + | 0.851214i | ||||
\(706\) | 3.41368e10 | + | 7.08859e10i | 0.137406 | + | 0.285326i | ||||
\(707\) | 1.81837e11 | − | 1.45010e11i | 0.727788 | − | 0.580392i | ||||
\(708\) | 5.43391e10 | + | 4.33340e10i | 0.216262 | + | 0.172463i | ||||
\(709\) | −2.64850e11 | + | 1.27545e11i | −1.04813 | + | 0.504752i | −0.876997 | − | 0.480496i | \(-0.840457\pi\) |
−0.171131 | + | 0.985248i | \(0.554742\pi\) | |||||||
\(710\) | −2.68393e10 | − | 5.57323e10i | −0.105618 | − | 0.219318i | ||||
\(711\) | 5.76931e10 | − | 7.23448e10i | 0.225759 | − | 0.283093i | ||||
\(712\) | −9.48249e10 | − | 1.18907e11i | −0.368980 | − | 0.462686i | ||||
\(713\) | 4.78201e11 | − | 2.30290e11i | 1.85034 | − | 0.891079i | ||||
\(714\) | −3.73675e10 | − | 8.52888e9i | −0.143781 | − | 0.0328170i | ||||
\(715\) | −5.00821e10 | − | 1.14309e10i | −0.191628 | − | 0.0437378i | ||||
\(716\) | −1.38020e11 | + | 1.10067e11i | −0.525156 | + | 0.418798i | ||||
\(717\) | 6.75835e10 | − | 1.40339e11i | 0.255720 | − | 0.531007i | ||||
\(718\) | 2.38459e11 | − | 5.44267e10i | 0.897256 | − | 0.204793i | ||||
\(719\) | 4.36576e11 | + | 2.10244e11i | 1.63359 | + | 0.786697i | 0.999914 | + | 0.0131011i | \(0.00417033\pi\) |
0.633679 | + | 0.773596i | \(0.281544\pi\) | |||||||
\(720\) | −3.50444e10 | − | 2.79470e10i | −0.130403 | − | 0.103993i | ||||
\(721\) | −8.60767e10 | − | 1.96465e10i | −0.318526 | − | 0.0727015i | ||||
\(722\) | 1.11831e11 | + | 8.91825e10i | 0.411542 | + | 0.328194i | ||||
\(723\) | −5.97105e10 | − | 2.61609e11i | −0.218523 | − | 0.957413i | ||||
\(724\) | −1.72775e11 | −0.628819 | ||||||||
\(725\) | − | 4.82987e10i | − | 0.174817i | ||||||
\(726\) | 1.35168e10 | + | 5.92209e10i | 0.0486550 | + | 0.213171i | ||||
\(727\) | −3.11175e11 | + | 2.48154e11i | −1.11395 | + | 0.888348i | −0.994525 | − | 0.104495i | \(-0.966677\pi\) |
−0.119427 | + | 0.992843i | \(0.538106\pi\) | |||||||
\(728\) | −1.99755e10 | + | 9.61967e9i | −0.0711166 | + | 0.0342480i | ||||
\(729\) | 1.48233e11 | + | 7.13850e10i | 0.524848 | + | 0.252753i | ||||
\(730\) | − | 6.69763e10i | − | 0.235846i | ||||||
\(731\) | −1.90663e11 | − | 9.04354e10i | −0.667724 | − | 0.316715i | ||||
\(732\) | −1.18407e10 | −0.0412412 | ||||||||
\(733\) | −5.20370e10 | + | 1.08056e11i | −0.180259 | + | 0.374311i | −0.971445 | − | 0.237264i | \(-0.923749\pi\) |
0.791186 | + | 0.611575i | \(0.209464\pi\) | |||||||
\(734\) | −5.48301e10 | − | 1.13856e11i | −0.188901 | − | 0.392257i | ||||
\(735\) | 7.33926e10 | + | 9.20314e10i | 0.251480 | + | 0.315345i | ||||
\(736\) | 5.17540e11 | − | 1.18125e11i | 1.76373 | − | 0.402560i | ||||
\(737\) | −2.21881e11 | −0.752055 | ||||||||
\(738\) | 3.99779e10i | 0.134770i | ||||||||
\(739\) | −6.38341e10 | + | 1.45697e10i | −0.214030 | + | 0.0488510i | −0.328191 | − | 0.944611i | \(-0.606439\pi\) |
0.114161 | + | 0.993462i | \(0.463582\pi\) | |||||||
\(740\) | −1.04413e11 | + | 1.30929e11i | −0.348198 | + | 0.436627i | ||||
\(741\) | 2.35897e8 | − | 1.03353e9i | 0.000782436 | − | 0.00342808i | ||||
\(742\) | −8.35295e10 | + | 1.04743e11i | −0.275565 | + | 0.345548i | ||||
\(743\) | −2.04076e11 | + | 4.23768e11i | −0.669632 | + | 1.39051i | 0.238219 | + | 0.971212i | \(0.423436\pi\) |
−0.907851 | + | 0.419294i | \(0.862278\pi\) | |||||||
\(744\) | −4.42167e10 | − | 1.93726e11i | −0.144310 | − | 0.632261i | ||||
\(745\) | −2.96957e11 | − | 1.43007e11i | −0.963980 | − | 0.464228i | ||||
\(746\) | 6.60206e10 | + | 8.27872e10i | 0.213169 | + | 0.267306i | ||||
\(747\) | 8.48619e10 | − | 3.71804e11i | 0.272540 | − | 1.19408i | ||||
\(748\) | 4.82158e10 | − | 2.11247e11i | 0.154022 | − | 0.674815i | ||||
\(749\) | −1.35222e11 | − | 2.80791e11i | −0.429655 | − | 0.892188i | ||||
\(750\) | −7.05410e10 | + | 5.62546e10i | −0.222945 | + | 0.177792i | ||||
\(751\) | 4.16398e11 | + | 3.32066e11i | 1.30903 | + | 1.04391i | 0.995542 | + | 0.0943213i | \(0.0300681\pi\) |
0.313485 | + | 0.949593i | \(0.398503\pi\) | |||||||
\(752\) | −9.27519e10 | + | 4.46669e10i | −0.290036 | + | 0.139674i | ||||
\(753\) | −1.15602e11 | − | 2.40050e11i | −0.359572 | − | 0.746659i | ||||
\(754\) | 1.43842e10 | − | 1.80373e10i | 0.0445042 | − | 0.0558065i | ||||
\(755\) | 2.62608e11 | + | 3.29301e11i | 0.808204 | + | 1.01346i | ||||
\(756\) | 1.31181e11 | − | 6.31734e10i | 0.401591 | − | 0.193396i | ||||
\(757\) | 6.44150e9 | + | 1.47023e9i | 0.0196157 | + | 0.00447716i | 0.232318 | − | 0.972640i | \(-0.425369\pi\) |
−0.212702 | + | 0.977117i | \(0.568226\pi\) | |||||||
\(758\) | −1.36851e11 | − | 3.12353e10i | −0.414543 | − | 0.0946168i | ||||
\(759\) | −3.56817e11 | + | 2.84552e11i | −1.07517 | + | 0.857421i | ||||
\(760\) | −5.92838e9 | + | 1.23104e10i | −0.0177698 | + | 0.0368993i | ||||
\(761\) | 6.88428e10 | − | 1.57129e10i | 0.205267 | − | 0.0468509i | −0.118651 | − | 0.992936i | \(-0.537857\pi\) |
0.323918 | + | 0.946085i | \(0.395000\pi\) | |||||||
\(762\) | 6.06793e10 | + | 2.92216e10i | 0.179978 | + | 0.0866730i | ||||
\(763\) | 1.43983e11 | + | 1.14823e11i | 0.424829 | + | 0.338790i | ||||
\(764\) | 2.18447e11 | + | 4.98591e10i | 0.641169 | + | 0.146343i | ||||
\(765\) | 1.35719e11 | + | 1.08232e11i | 0.396273 | + | 0.316017i | ||||
\(766\) | −4.40503e9 | − | 1.92997e10i | −0.0127948 | − | 0.0560577i | ||||
\(767\) | −3.04581e10 | −0.0880079 | ||||||||
\(768\) | − | 1.61652e11i | − | 0.464662i | ||||||
\(769\) | −7.07095e10 | − | 3.09798e11i | −0.202196 | − | 0.885878i | −0.969596 | − | 0.244710i | \(-0.921307\pi\) |
0.767401 | − | 0.641168i | \(-0.221550\pi\) | |||||||
\(770\) | −1.27298e11 | + | 1.01517e11i | −0.362126 | + | 0.288786i | ||||
\(771\) | 1.70429e11 | − | 8.20742e10i | 0.482309 | − | 0.232268i | ||||
\(772\) | −3.94524e10 | − | 1.89993e10i | −0.111072 | − | 0.0534895i | ||||
\(773\) | − | 8.43705e10i | − | 0.236305i | −0.992995 | − | 0.118152i | \(-0.962303\pi\) | ||
0.992995 | − | 0.118152i | \(-0.0376971\pi\) | |||||||
\(774\) | −1.16319e11 | + | 2.72727e10i | −0.324106 | + | 0.0759914i | ||||
\(775\) | 7.64344e10 | 0.211876 | ||||||||
\(776\) | −1.41209e11 | + | 2.93224e11i | −0.389418 | + | 0.808635i | ||||
\(777\) | −4.26180e10 | − | 8.84972e10i | −0.116925 | − | 0.242798i | ||||
\(778\) | −1.41931e11 | − | 1.77976e11i | −0.387399 | − | 0.485783i | ||||
\(779\) | −6.03504e9 | + | 1.37746e9i | −0.0163882 | + | 0.00374049i | ||||
\(780\) | −2.45846e10 | −0.0664178 | ||||||||
\(781\) | 2.05112e11i | 0.551298i | ||||||||
\(782\) | −2.48041e11 | + | 5.66137e10i | −0.663278 | + | 0.151389i | ||||
\(783\) | −2.25304e11 | + | 2.82523e11i | −0.599408 | + | 0.751634i | ||||
\(784\) | −1.25021e10 | + | 5.47754e10i | −0.0330917 | + | 0.144984i | ||||
\(785\) | 1.83976e11 | − | 2.30699e11i | 0.484487 | − | 0.607528i | ||||
\(786\) | 6.73642e10 | − | 1.39883e11i | 0.176498 | − | 0.366501i | ||||
\(787\) | 1.44047e11 | + | 6.31110e11i | 0.375496 | + | 1.64515i | 0.711056 | + | 0.703135i | \(0.248217\pi\) |
−0.335561 | + | 0.942019i | \(0.608926\pi\) | |||||||
\(788\) | 4.05923e11 | + | 1.95482e11i | 1.05278 | + | 0.506994i | ||||
\(789\) | 1.64374e11 | + | 2.06119e11i | 0.424156 | + | 0.531875i | ||||
\(790\) | −2.84741e10 | + | 1.24753e11i | −0.0731042 | + | 0.320290i | ||||
\(791\) | 4.12719e10 | − | 1.80824e11i | 0.105426 | − | 0.461902i | ||||
\(792\) | −1.26953e11 | − | 2.63620e11i | −0.322657 | − | 0.670004i | ||||
\(793\) | 4.05688e9 | − | 3.23525e9i | 0.0102589 | − | 0.00818118i | ||||
\(794\) | −1.75836e11 | − | 1.40224e11i | −0.442410 | − | 0.352810i | ||||
\(795\) | −3.19231e11 | + | 1.53733e11i | −0.799164 | + | 0.384857i | ||||
\(796\) | 1.14153e11 | + | 2.37042e11i | 0.284339 | + | 0.590437i | ||||
\(797\) | −1.82917e11 | + | 2.29371e11i | −0.453338 | + | 0.568467i | −0.955004 | − | 0.296594i | \(-0.904149\pi\) |
0.501666 | + | 0.865061i | \(0.332721\pi\) | |||||||
\(798\) | −2.09498e9 | − | 2.62702e9i | −0.00516616 | − | 0.00647816i | ||||
\(799\) | 3.59206e11 | − | 1.72985e11i | 0.881367 | − | 0.424444i | ||||
\(800\) | 7.45301e10 | + | 1.70110e10i | 0.181958 | + | 0.0415308i | ||||
\(801\) | −1.65142e11 | − | 3.76926e10i | −0.401170 | − | 0.0915644i | ||||
\(802\) | 6.04774e10 | − | 4.82291e10i | 0.146183 | − | 0.116577i | ||||
\(803\) | −9.63579e10 | + | 2.00089e11i | −0.231753 | + | 0.481240i | ||||
\(804\) | −1.03525e11 | + | 2.36289e10i | −0.247754 | + | 0.0565482i | ||||
\(805\) | −4.47265e11 | − | 2.15392e11i | −1.06508 | − | 0.512915i | ||||
\(806\) | 2.85446e10 | + | 2.27635e10i | 0.0676369 | + | 0.0539386i | ||||
\(807\) | −2.18393e11 | − | 4.98469e10i | −0.514927 | − | 0.117529i | ||||
\(808\) | −4.51884e11 | − | 3.60365e11i | −1.06018 | − | 0.845469i | ||||
\(809\) | 4.24638e10 | + | 1.86046e11i | 0.0991346 | + | 0.434337i | 1.00000 | 0.000238478i | \(7.59100e-5\pi\) | |
−0.900865 | + | 0.434099i | \(0.857067\pi\) | |||||||
\(810\) | 7.37531e9 | 0.0171333 | ||||||||
\(811\) | 5.90096e11i | 1.36408i | 0.731316 | + | 0.682039i | \(0.238907\pi\) | ||||
−0.731316 | + | 0.682039i | \(0.761093\pi\) | |||||||
\(812\) | 4.22514e10 | + | 1.85116e11i | 0.0971890 | + | 0.425813i | ||||
\(813\) | −8.65999e10 | + | 6.90611e10i | −0.198224 | + | 0.158078i | ||||
\(814\) | −1.92669e11 | + | 9.27847e10i | −0.438849 | + | 0.211339i | ||||
\(815\) | 6.05991e11 | + | 2.91830e11i | 1.37352 | + | 0.661454i | ||||
\(816\) | − | 4.83833e10i | − | 0.109128i | ||||||
\(817\) | −8.12491e9 | − | 1.66198e10i | −0.0182360 | − | 0.0373024i | ||||
\(818\) | 1.13466e11 | 0.253428 | ||||||||
\(819\) | −1.07140e10 | + | 2.22479e10i | −0.0238132 | + | 0.0494486i | ||||
\(820\) | 6.22863e10 | + | 1.29339e11i | 0.137765 | + | 0.286071i | ||||
\(821\) | 4.73298e11 | + | 5.93497e11i | 1.04175 | + | 1.30631i | 0.950582 | + | 0.310473i | \(0.100487\pi\) |
0.0911645 | + | 0.995836i | \(0.470941\pi\) | |||||||
\(822\) | −3.44040e10 | + | 7.85249e9i | −0.0753566 | + | 0.0171997i | ||||
\(823\) | 6.29673e11 | 1.37251 | 0.686255 | − | 0.727361i | \(-0.259253\pi\) | ||||
0.686255 | + | 0.727361i | \(0.259253\pi\) | |||||||
\(824\) | 2.19411e11i | 0.475936i | ||||||||
\(825\) | −6.40755e10 | + | 1.46248e10i | −0.138317 | + | 0.0315700i | ||||
\(826\) | −6.01910e10 | + | 7.54771e10i | −0.129304 | + | 0.162142i | ||||
\(827\) | 1.48455e11 | − | 6.50426e11i | 0.317376 | − | 1.39052i | −0.524760 | − | 0.851250i | \(-0.675845\pi\) |
0.842136 | − | 0.539265i | \(-0.181298\pi\) | |||||||
\(828\) | 2.33203e11 | − | 2.92428e11i | 0.496151 | − | 0.622153i | ||||
\(829\) | 3.19881e11 | − | 6.64240e11i | 0.677284 | − | 1.40639i | −0.224615 | − | 0.974448i | \(-0.572112\pi\) |
0.901899 | − | 0.431947i | \(-0.142173\pi\) | |||||||
\(830\) | 1.17354e11 | + | 5.14162e11i | 0.247278 | + | 1.08340i | ||||
\(831\) | 7.85181e10 | + | 3.78123e10i | 0.164652 | + | 0.0792920i | ||||
\(832\) | 1.26336e10 | + | 1.58420e10i | 0.0263653 | + | 0.0330610i | ||||
\(833\) | 4.84178e10 | − | 2.12132e11i | 0.100560 | − | 0.440582i | ||||
\(834\) | 3.75286e10 | − | 1.64424e11i | 0.0775709 | − | 0.339860i | ||||
\(835\) | 1.79842e11 | + | 3.73446e11i | 0.369952 | + | 0.768214i | ||||
\(836\) | 1.48512e10 | − | 1.18434e10i | 0.0304043 | − | 0.0242466i | ||||
\(837\) | −4.47102e11 | − | 3.56552e11i | −0.910971 | − | 0.726475i | ||||
\(838\) | −1.87045e11 | + | 9.00763e10i | −0.379290 | + | 0.182656i | ||||
\(839\) | −2.27647e11 | − | 4.72714e11i | −0.459424 | − | 0.954004i | −0.994051 | − | 0.108916i | \(-0.965262\pi\) |
0.534627 | − | 0.845088i | \(-0.320452\pi\) | |||||||
\(840\) | −1.15878e11 | + | 1.45306e11i | −0.232746 | + | 0.291854i | ||||
\(841\) | 1.80801e10 | + | 2.26717e10i | 0.0361424 | + | 0.0453211i | ||||
\(842\) | 4.04493e11 | − | 1.94793e11i | 0.804753 | − | 0.387548i | ||||
\(843\) | 1.57208e11 | + | 3.58818e10i | 0.311290 | + | 0.0710499i | ||||
\(844\) | −2.87897e11 | − | 6.57105e10i | −0.567371 | − | 0.129499i | ||||
\(845\) | −4.24591e11 | + | 3.38600e11i | −0.832806 | + | 0.664141i | ||||
\(846\) | 9.79374e10 | − | 2.03369e11i | 0.191191 | − | 0.397012i | ||||
\(847\) | 2.13595e11 | − | 4.87517e10i | 0.415010 | − | 0.0947232i | ||||
\(848\) | −1.52368e11 | − | 7.33767e10i | −0.294653 | − | 0.141898i | ||||
\(849\) | −1.77878e11 | − | 1.41853e11i | −0.342367 | − | 0.273028i | ||||
\(850\) | −3.57199e10 | − | 8.15284e9i | −0.0684282 | − | 0.0156183i | ||||
\(851\) | −5.09756e11 | − | 4.06517e11i | −0.971950 | − | 0.775105i | ||||
\(852\) | 2.18431e10 | + | 9.57008e10i | 0.0414530 | + | 0.181617i | ||||
\(853\) | −5.03179e11 | −0.950443 | −0.475222 | − | 0.879866i | \(-0.657632\pi\) | ||||
−0.475222 | + | 0.879866i | \(0.657632\pi\) | |||||||
\(854\) | − | 1.64467e10i | − | 0.0309205i | ||||||
\(855\) | 3.38631e9 | + | 1.48364e10i | 0.00633668 | + | 0.0277628i | ||||
\(856\) | −6.05524e11 | + | 4.82889e11i | −1.12781 | + | 0.899399i | ||||
\(857\) | 5.35133e11 | − | 2.57707e11i | 0.992062 | − | 0.477752i | 0.133825 | − | 0.991005i | \(-0.457274\pi\) |
0.858237 | + | 0.513253i | \(0.171560\pi\) | |||||||
\(858\) | −2.82847e10 | − | 1.36212e10i | −0.0521918 | − | 0.0251342i | ||||
\(859\) | 2.72327e11i | 0.500171i | 0.968224 | + | 0.250085i | \(0.0804587\pi\) | ||||
−0.968224 | + | 0.250085i | \(0.919541\pi\) | |||||||
\(860\) | −3.33831e11 | + | 2.69462e11i | −0.610286 | + | 0.492610i | ||||
\(861\) | −8.42006e10 | −0.153215 | ||||||||
\(862\) | 2.32085e10 | − | 4.81929e10i | 0.0420356 | − | 0.0872879i | ||||
\(863\) | 2.84349e11 | + | 5.90457e11i | 0.512635 | + | 1.06450i | 0.983267 | + | 0.182168i | \(0.0583116\pi\) |
−0.470632 | + | 0.882330i | \(0.655974\pi\) | |||||||
\(864\) | −3.56610e11 | − | 4.47174e11i | −0.639938 | − | 0.802457i | ||||
\(865\) | 4.99279e11 | − | 1.13957e11i | 0.891823 | − | 0.203553i | ||||
\(866\) | 5.00378e11 | 0.889666 | ||||||||
\(867\) | − | 1.55702e11i | − | 0.275561i | ||||||
\(868\) | −2.92952e11 | + | 6.68644e10i | −0.516081 | + | 0.117792i | ||||
\(869\) | 2.64547e11 | − | 3.31731e11i | 0.463899 | − | 0.581711i | ||||
\(870\) | 4.30340e10 | − | 1.88544e11i | 0.0751164 | − | 0.329106i | ||||
\(871\) | 2.90138e10 | − | 3.63822e10i | 0.0504118 | − | 0.0632144i | ||||
\(872\) | 1.98571e11 | − | 4.12338e11i | 0.343440 | − | 0.713161i | ||||
\(873\) | 8.06591e10 | + | 3.53391e11i | 0.138866 | + | 0.608412i | ||||
\(874\) | −2.00950e10 | − | 9.67726e9i | −0.0344384 | − | 0.0165847i | ||||
\(875\) | 2.02897e11 | + | 2.54424e11i | 0.346133 | + | 0.434037i | ||||
\(876\) | −2.36503e10 | + | 1.03619e11i | −0.0401625 | + | 0.175963i | ||||
\(877\) | 1.80001e11 | − | 7.88635e11i | 0.304282 | − | 1.33315i | −0.559312 | − | 0.828957i | \(-0.688935\pi\) |
0.863594 | − | 0.504188i | \(-0.168208\pi\) | |||||||
\(878\) | −5.12164e10 | − | 1.06352e11i | −0.0861848 | − | 0.178965i | ||||
\(879\) | 3.01508e11 | − | 2.40445e11i | 0.505061 | − | 0.402773i | ||||
\(880\) | −1.60693e11 | − | 1.28148e11i | −0.267958 | − | 0.213689i | ||||
\(881\) | −9.40176e11 | + | 4.52765e11i | −1.56065 | + | 0.751570i | −0.997214 | − | 0.0745896i | \(-0.976235\pi\) |
−0.563436 | + | 0.826159i | \(0.690521\pi\) | |||||||
\(882\) | −5.34501e10 | − | 1.10990e11i | −0.0883231 | − | 0.183405i | ||||
\(883\) | 2.07736e11 | − | 2.60492e11i | 0.341718 | − | 0.428501i | −0.581043 | − | 0.813873i | \(-0.697355\pi\) |
0.922761 | + | 0.385372i | \(0.125927\pi\) | |||||||
\(884\) | 2.83337e10 | + | 3.55294e10i | 0.0463975 | + | 0.0581806i | ||||
\(885\) | −2.30036e11 | + | 1.10780e11i | −0.374993 | + | 0.180587i | ||||
\(886\) | −2.94984e11 | − | 6.73281e10i | −0.478700 | − | 0.109260i | ||||
\(887\) | −2.44216e11 | − | 5.57408e10i | −0.394530 | − | 0.0900490i | 0.0206531 | − | 0.999787i | \(-0.493425\pi\) |
−0.415183 | + | 0.909738i | \(0.636283\pi\) | |||||||
\(888\) | −1.90843e11 | + | 1.52193e11i | −0.306920 | + | 0.244761i | ||||
\(889\) | 1.05395e11 | − | 2.18855e11i | 0.168738 | − | 0.350389i | ||||
\(890\) | 2.28372e11 | − | 5.21245e10i | 0.363985 | − | 0.0830772i | ||||
\(891\) | −2.20335e10 | − | 1.06108e10i | −0.0349601 | − | 0.0168359i | ||||
\(892\) | −3.07960e11 | − | 2.45590e11i | −0.486446 | − | 0.387928i | ||||
\(893\) | 3.40750e10 | + | 7.77739e9i | 0.0535833 | + | 0.0122300i | ||||
\(894\) | −1.57481e11 | − | 1.25587e11i | −0.246535 | − | 0.196605i | ||||
\(895\) | −1.44306e11 | − | 6.32247e11i | −0.224902 | − | 0.985360i | ||||
\(896\) | −3.52050e11 | −0.546225 | ||||||||
\(897\) | − | 9.57167e10i | − | 0.147849i | ||||||
\(898\) | 3.31257e8 | + | 1.45133e9i | 0.000509401 | + | 0.00223183i | ||||
\(899\) | 5.83064e11 | − | 4.64978e11i | 0.892642 | − | 0.711858i | ||||
\(900\) | 4.85292e10 | − | 2.33704e10i | 0.0739662 | − | 0.0356202i | ||||
\(901\) | 5.90087e11 | + | 2.84171e11i | 0.895400 | + | 0.431202i | ||||
\(902\) | 1.83315e11i | 0.276931i | ||||||||
\(903\) | −5.74412e10 | − | 2.44989e11i | −0.0863919 | − | 0.368464i | ||||
\(904\) | −4.60922e11 | −0.690167 | ||||||||
\(905\) | 2.75385e11 | − | 5.71843e11i | 0.410531 | − | 0.852476i | ||||
\(906\) | 1.11682e11 | + | 2.31911e11i | 0.165757 | + | 0.344198i | ||||
\(907\) | 2.49593e11 | + | 3.12980e11i | 0.368811 | + | 0.462474i | 0.931259 | − | 0.364359i | \(-0.118712\pi\) |
−0.562448 | + | 0.826833i | \(0.690140\pi\) | |||||||
\(908\) | 6.53991e11 | − | 1.49269e11i | 0.962118 | − | 0.219597i | ||||
\(909\) | −6.43734e11 | −0.942868 | ||||||||
\(910\) | − | 3.41480e10i | − | 0.0497966i | ||||||
\(911\) | 6.41118e11 | − | 1.46331e11i | 0.930817 | − | 0.212453i | 0.269880 | − | 0.962894i | \(-0.413016\pi\) |
0.660938 | + | 0.750441i | \(0.270159\pi\) | |||||||
\(912\) | 2.64456e9 | − | 3.31618e9i | 0.00382274 | − | 0.00479356i | ||||
\(913\) | 3.89127e11 | − | 1.70488e12i | 0.560026 | − | 2.45364i | ||||
\(914\) | 3.11687e11 | − | 3.90843e11i | 0.446615 | − | 0.560037i | ||||
\(915\) | 1.88728e10 | − | 3.91897e10i | 0.0269247 | − | 0.0559098i | ||||
\(916\) | 1.01258e11 | + | 4.43639e11i | 0.143829 | + | 0.630156i | ||||
\(917\) | −5.04524e11 | − | 2.42966e11i | −0.713518 | − | 0.343612i | ||||
\(918\) | 1.70912e11 | + | 2.14317e11i | 0.240659 | + | 0.301776i | ||||
\(919\) | −2.23767e9 | + | 9.80387e9i | −0.00313714 | + | 0.0137447i | −0.976472 | − | 0.215643i | \(-0.930815\pi\) |
0.973335 | + | 0.229388i | \(0.0736724\pi\) | |||||||
\(920\) | −2.74518e11 | + | 1.20274e12i | −0.383194 | + | 1.67888i | ||||
\(921\) | 1.73235e11 | + | 3.59726e11i | 0.240767 | + | 0.499957i | ||||
\(922\) | −9.19266e10 | + | 7.33090e10i | −0.127209 | + | 0.101446i | ||||
\(923\) | −3.36325e10 | − | 2.68211e10i | −0.0463397 | − | 0.0369546i | ||||
\(924\) | 2.32790e11 | − | 1.12106e11i | 0.319357 | − | 0.153794i | ||||
\(925\) | −4.07390e10 | − | 8.45954e10i | −0.0556472 | − | 0.115553i | ||||
\(926\) | −2.05072e11 | + | 2.57152e11i | −0.278909 | + | 0.349741i | ||||
\(927\) | 1.52363e11 | + | 1.91057e11i | 0.206329 | + | 0.258729i | ||||
\(928\) | 6.72021e11 | − | 3.23628e11i | 0.906131 | − | 0.436370i | ||||
\(929\) | 4.77853e11 | + | 1.09067e11i | 0.641551 | + | 0.146430i | 0.530907 | − | 0.847430i | \(-0.321851\pi\) |
0.110644 | + | 0.993860i | \(0.464709\pi\) | |||||||
\(930\) | 2.98378e11 | + | 6.81028e10i | 0.398873 | + | 0.0910402i | ||||
\(931\) | 1.49134e10 | − | 1.18930e10i | 0.0198508 | − | 0.0158305i | ||||
\(932\) | −2.16426e11 | + | 4.49414e11i | −0.286844 | + | 0.595639i | ||||
\(933\) | 1.43235e11 | − | 3.26925e10i | 0.189027 | − | 0.0431441i | ||||
\(934\) | 2.83719e11 | + | 1.36632e11i | 0.372822 | + | 0.179541i | ||||
\(935\) | 6.22327e11 | + | 4.96289e11i | 0.814277 | + | 0.649364i | ||||
\(936\) | 5.98269e10 | + | 1.36551e10i | 0.0779459 | + | 0.0177906i | ||||
\(937\) | −5.95801e11 | − | 4.75135e11i | −0.772935 | − | 0.616395i | 0.155523 | − | 0.987832i | \(-0.450294\pi\) |
−0.928458 | + | 0.371437i | \(0.878865\pi\) | |||||||
\(938\) | −3.28205e10 | − | 1.43796e11i | −0.0423969 | − | 0.185753i | ||||
\(939\) | 2.95878e11 | 0.380584 | ||||||||
\(940\) | − | 8.10541e11i | − | 1.03816i | ||||||
\(941\) | −1.01371e11 | − | 4.44134e11i | −0.129287 | − | 0.566442i | −0.997526 | − | 0.0702965i | \(-0.977605\pi\) |
0.868239 | − | 0.496145i | \(-0.165252\pi\) | |||||||
\(942\) | 1.40986e11 | − | 1.12433e11i | 0.179049 | − | 0.142787i | ||||
\(943\) | −5.03564e11 | + | 2.42503e11i | −0.636807 | + | 0.306670i | ||||
\(944\) | −1.09796e11 | − | 5.28750e10i | −0.138261 | − | 0.0665828i | ||||
\(945\) | 5.34870e11i | 0.670688i | ||||||||
\(946\) | −5.33371e11 | + | 1.25057e11i | −0.665986 | + | 0.156150i | ||||
\(947\) | 1.13193e12 | 1.40741 | 0.703704 | − | 0.710493i | \(-0.251528\pi\) | ||||
0.703704 | + | 0.710493i | \(0.251528\pi\) | |||||||
\(948\) | 8.81046e10 | − | 1.82951e11i | 0.109085 | − | 0.226518i | ||||
\(949\) | −2.02089e10 | − | 4.19643e10i | −0.0249160 | − | 0.0517386i | ||||
\(950\) | −2.00261e9 | − | 2.51119e9i | −0.00245868 | − | 0.00308309i | ||||
\(951\) | 4.55673e11 | − | 1.04004e11i | 0.557098 | − | 0.127154i | ||||
\(952\) | 3.43544e11 | 0.418248 | ||||||||
\(953\) | 1.16961e12i | 1.41798i | 0.705219 | + | 0.708990i | \(0.250849\pi\) | ||||
−0.705219 | + | 0.708990i | \(0.749151\pi\) | |||||||
\(954\) | 3.61510e11 | − | 8.25122e10i | 0.436442 | − | 0.0996150i | ||||
\(955\) | −5.13204e11 | + | 6.43537e11i | −0.616987 | + | 0.773678i | ||||
\(956\) | −1.30254e11 | + | 5.70679e11i | −0.155940 | + | 0.683220i | ||||
\(957\) | −3.99819e11 | + | 5.01357e11i | −0.476668 | + | 0.597722i | ||||
\(958\) | −1.95649e11 | + | 4.06270e11i | −0.232283 | + | 0.482340i | ||||
\(959\) | 2.83220e10 | + | 1.24087e11i | 0.0334849 | + | 0.146707i | ||||
\(960\) | 1.53035e11 | + | 7.36976e10i | 0.180179 | + | 0.0867697i | ||||
\(961\) | 2.04075e11 | + | 2.55902e11i | 0.239274 | + | 0.300040i | ||||
\(962\) | 9.97998e9 | − | 4.37252e10i | 0.0116528 | − | 0.0510542i | ||||
\(963\) | −1.91947e11 | + | 8.40975e11i | −0.223191 | + | 0.977863i | ||||
\(964\) | 4.37528e11 | + | 9.08536e11i | 0.506638 | + | 1.05204i | ||||
\(965\) | 1.25766e11 | − | 1.00295e11i | 0.145029 | − | 0.115657i | ||||
\(966\) | −2.37192e11 | − | 1.89154e11i | −0.272390 | − | 0.217224i | ||||
\(967\) | −3.44254e11 | + | 1.65784e11i | −0.393707 | + | 0.189599i | −0.620254 | − | 0.784401i | \(-0.712971\pi\) |
0.226547 | + | 0.974000i | \(0.427256\pi\) | |||||||
\(968\) | −2.36231e11 | − | 4.90539e11i | −0.269052 | − | 0.558691i | ||||
\(969\) | −1.02418e10 | + | 1.28428e10i | −0.0116166 | + | 0.0145668i | ||||
\(970\) | −3.12534e11 | − | 3.91905e11i | −0.353029 | − | 0.442684i | ||||
\(971\) | −1.12144e12 | + | 5.40057e11i | −1.26154 | + | 0.607523i | −0.940580 | − | 0.339571i | \(-0.889718\pi\) |
−0.320955 | + | 0.947094i | \(0.604004\pi\) | |||||||
\(972\) | −6.33730e11 | − | 1.44645e11i | −0.709968 | − | 0.162046i | ||||
\(973\) | −5.93036e11 | − | 1.35357e11i | −0.661652 | − | 0.151018i | ||||
\(974\) | −5.65093e11 | + | 4.50647e11i | −0.627891 | + | 0.500727i | ||||
\(975\) | 5.98066e9 | − | 1.24190e10i | 0.00661806 | − | 0.0137425i | ||||
\(976\) | 2.02407e10 | − | 4.61981e9i | 0.0223062 | − | 0.00509125i | ||||
\(977\) | −9.67430e11 | − | 4.65890e11i | −1.06180 | − | 0.511334i | −0.180342 | − | 0.983604i | \(-0.557720\pi\) |
−0.881454 | + | 0.472270i | \(0.843435\pi\) | |||||||
\(978\) | 3.21367e11 | + | 2.56282e11i | 0.351274 | + | 0.280132i | ||||
\(979\) | −7.57246e11 | − | 1.72836e11i | −0.824339 | − | 0.188150i | ||||
\(980\) | −3.45850e11 | − | 2.75806e11i | −0.374959 | − | 0.299020i | ||||
\(981\) | −1.13425e11 | − | 4.96946e11i | −0.122470 | − | 0.536578i | ||||
\(982\) | 3.24070e11 | 0.348492 | ||||||||
\(983\) | − | 1.06323e12i | − | 1.13871i | −0.822093 | − | 0.569354i | \(-0.807193\pi\) | ||
0.822093 | − | 0.569354i | \(-0.192807\pi\) | |||||||
\(984\) | 4.65619e10 | + | 2.04001e11i | 0.0496649 | + | 0.217596i | ||||
\(985\) | −1.29400e12 | + | 1.03193e12i | −1.37464 | + | 1.09624i | ||||
\(986\) | −3.22079e11 | + | 1.55105e11i | −0.340765 | + | 0.164104i | ||||
\(987\) | 4.28332e11 | + | 2.06274e11i | 0.451348 | + | 0.217358i | ||||
\(988\) | 3.98385e9i | 0.00418095i | ||||||||
\(989\) | −1.04911e12 | − | 1.29973e12i | −1.09657 | − | 1.35852i | ||||
\(990\) | 4.50657e11 | 0.469143 | ||||||||
\(991\) | 5.65069e11 | − | 1.17338e12i | 0.585878 | − | 1.21659i | −0.371684 | − | 0.928359i | \(-0.621220\pi\) |
0.957562 | − | 0.288228i | \(-0.0930661\pi\) | |||||||
\(992\) | 5.12153e11 | + | 1.06350e12i | 0.528875 | + | 1.09822i | ||||
\(993\) | 5.13306e11 | + | 6.43666e11i | 0.527934 | + | 0.662008i | ||||
\(994\) | −1.32928e11 | + | 3.03401e10i | −0.136167 | + | 0.0310793i | ||||
\(995\) | −9.66502e11 | −0.986076 | ||||||||
\(996\) | − | 8.36899e11i | − | 0.850424i | ||||||
\(997\) | 7.53721e11 | − | 1.72032e11i | 0.762834 | − | 0.174112i | 0.176632 | − | 0.984277i | \(-0.443480\pi\) |
0.586202 | + | 0.810165i | \(0.300623\pi\) | |||||||
\(998\) | −3.76943e11 | + | 4.72672e11i | −0.379974 | + | 0.476472i | ||||
\(999\) | −1.56319e11 | + | 6.84880e11i | −0.156946 | + | 0.687626i |
(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 | 43.9.f.a.22.18 | yes | 174 | |
43.2 | odd | 14 | inner | 43.9.f.a.2.18 | ✓ | 174 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.9.f.a.2.18 | ✓ | 174 | 43.2 | odd | 14 | inner | |
43.9.f.a.22.18 | yes | 174 | 1.1 | even | 1 | trivial |