Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [91,10,Mod(53,91)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(91, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4, 0]))
N = Newforms(chi, 10, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("91.53");
S:= CuspForms(chi, 10);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 91 = 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 10 \) |
Character orbit: | \([\chi]\) | \(=\) | 91.e (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: | \(46.8682610909\) |
Analytic rank: | \(0\) |
Dimension: | \(70\) |
Relative dimension: | \(35\) over \(\Q(\zeta_{3})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 53.3 | ||
Character | \(\chi\) | \(=\) | 91.53 |
Dual form | 91.10.e.a.79.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).
\(n\) | \(15\) | \(66\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −18.4208 | − | 31.9058i | −0.814093 | − | 1.41005i | −0.909977 | − | 0.414658i | \(-0.863901\pi\) |
0.0958840 | − | 0.995393i | \(-0.469432\pi\) | |||||||
\(3\) | 63.9657 | − | 110.792i | 0.455934 | − | 0.789701i | −0.542808 | − | 0.839857i | \(-0.682639\pi\) |
0.998741 | + | 0.0501565i | \(0.0159720\pi\) | |||||||
\(4\) | −422.654 | + | 732.058i | −0.825495 | + | 1.42980i | ||||
\(5\) | 169.293 | + | 293.224i | 0.121136 | + | 0.209814i | 0.920216 | − | 0.391411i | \(-0.128013\pi\) |
−0.799080 | + | 0.601225i | \(0.794680\pi\) | |||||||
\(6\) | −4713.21 | −1.48469 | ||||||||
\(7\) | 1350.37 | − | 6207.26i | 0.212574 | − | 0.977145i | ||||
\(8\) | 12279.6 | 1.05993 | ||||||||
\(9\) | 1658.27 | + | 2872.20i | 0.0842486 | + | 0.145923i | ||||
\(10\) | 6237.03 | − | 10802.9i | 0.197232 | − | 0.341616i | ||||
\(11\) | −9400.48 | + | 16282.1i | −0.193590 | + | 0.335308i | −0.946437 | − | 0.322887i | \(-0.895346\pi\) |
0.752847 | + | 0.658195i | \(0.228680\pi\) | |||||||
\(12\) | 54070.7 | + | 93653.2i | 0.752743 | + | 1.30379i | ||||
\(13\) | −28561.0 | −0.277350 | ||||||||
\(14\) | −222923. | + | 71258.3i | −1.55088 | + | 0.495746i | ||||
\(15\) | 43315.8 | 0.220920 | ||||||||
\(16\) | −9801.55 | − | 16976.8i | −0.0373900 | − | 0.0647613i | ||||
\(17\) | −241670. | + | 418584.i | −0.701782 | + | 1.21552i | 0.266058 | + | 0.963957i | \(0.414279\pi\) |
−0.967840 | + | 0.251565i | \(0.919055\pi\) | |||||||
\(18\) | 61093.3 | − | 105817.i | 0.137172 | − | 0.237590i | ||||
\(19\) | 39227.7 | + | 67944.3i | 0.0690560 | + | 0.119608i | 0.898486 | − | 0.439002i | \(-0.144668\pi\) |
−0.829430 | + | 0.558611i | \(0.811335\pi\) | |||||||
\(20\) | −286209. | −0.399989 | ||||||||
\(21\) | −601337. | − | 546662.i | −0.674732 | − | 0.613384i | ||||
\(22\) | 692658. | 0.630401 | ||||||||
\(23\) | 422238. | + | 731338.i | 0.314617 | + | 0.544933i | 0.979356 | − | 0.202143i | \(-0.0647905\pi\) |
−0.664739 | + | 0.747076i | \(0.731457\pi\) | |||||||
\(24\) | 785473. | − | 1.36048e6i | 0.483260 | − | 0.837031i | ||||
\(25\) | 919242. | − | 1.59217e6i | 0.470652 | − | 0.815193i | ||||
\(26\) | 526117. | + | 911262.i | 0.225789 | + | 0.391078i | ||||
\(27\) | 2.94236e6 | 1.06551 | ||||||||
\(28\) | 3.97334e6 | + | 3.61207e6i | 1.22164 | + | 1.11057i | ||||
\(29\) | 4.78580e6 | 1.25650 | 0.628252 | − | 0.778010i | \(-0.283771\pi\) | ||||
0.628252 | + | 0.778010i | \(0.283771\pi\) | |||||||
\(30\) | −797913. | − | 1.38203e6i | −0.179850 | − | 0.311509i | ||||
\(31\) | −4.18740e6 | + | 7.25279e6i | −0.814361 | + | 1.41051i | 0.0954249 | + | 0.995437i | \(0.469579\pi\) |
−0.909786 | + | 0.415078i | \(0.863754\pi\) | |||||||
\(32\) | 2.78247e6 | − | 4.81938e6i | 0.469089 | − | 0.812487i | ||||
\(33\) | 1.20262e6 | + | 2.08299e6i | 0.176528 | + | 0.305756i | ||||
\(34\) | 1.78070e7 | 2.28526 | ||||||||
\(35\) | 2.04873e6 | − | 654885.i | 0.230769 | − | 0.0737665i | ||||
\(36\) | −2.80349e6 | −0.278187 | ||||||||
\(37\) | 9.19598e6 | + | 1.59279e7i | 0.806660 | + | 1.39718i | 0.915165 | + | 0.403080i | \(0.132060\pi\) |
−0.108505 | + | 0.994096i | \(0.534606\pi\) | |||||||
\(38\) | 1.44521e6 | − | 2.50318e6i | 0.112436 | − | 0.194745i | ||||
\(39\) | −1.82693e6 | + | 3.16433e6i | −0.126453 | + | 0.219024i | ||||
\(40\) | 2.07885e6 | + | 3.60067e6i | 0.128396 | + | 0.222389i | ||||
\(41\) | −6.62731e6 | −0.366277 | −0.183139 | − | 0.983087i | \(-0.558626\pi\) | ||||
−0.183139 | + | 0.983087i | \(0.558626\pi\) | |||||||
\(42\) | −6.36457e6 | + | 2.92561e7i | −0.315607 | + | 1.45076i | ||||
\(43\) | 2.81457e7 | 1.25547 | 0.627733 | − | 0.778429i | \(-0.283983\pi\) | ||||
0.627733 | + | 0.778429i | \(0.283983\pi\) | |||||||
\(44\) | −7.94629e6 | − | 1.37634e7i | −0.319615 | − | 0.553590i | ||||
\(45\) | −561465. | + | 972487.i | −0.0204111 | + | 0.0353531i | ||||
\(46\) | 1.55560e7 | − | 2.69437e7i | 0.512255 | − | 0.887252i | ||||
\(47\) | −1.12662e7 | − | 1.95137e7i | −0.336773 | − | 0.583309i | 0.647050 | − | 0.762447i | \(-0.276002\pi\) |
−0.983824 | + | 0.179139i | \(0.942669\pi\) | |||||||
\(48\) | −2.50785e6 | −0.0681894 | ||||||||
\(49\) | −3.67066e7 | − | 1.67642e7i | −0.909624 | − | 0.415432i | ||||
\(50\) | −6.77328e7 | −1.53262 | ||||||||
\(51\) | 3.09172e7 | + | 5.35501e7i | 0.639933 | + | 1.10840i | ||||
\(52\) | 1.20714e7 | − | 2.09083e7i | 0.228951 | − | 0.396555i | ||||
\(53\) | 2.72680e7 | − | 4.72295e7i | 0.474692 | − | 0.822190i | −0.524888 | − | 0.851171i | \(-0.675893\pi\) |
0.999580 | + | 0.0289811i | \(0.00922628\pi\) | |||||||
\(54\) | −5.42008e7 | − | 9.38785e7i | −0.867428 | − | 1.50243i | ||||
\(55\) | −6.36574e6 | −0.0938030 | ||||||||
\(56\) | 1.65820e7 | − | 7.62227e7i | 0.225315 | − | 1.03571i | ||||
\(57\) | 1.00369e7 | 0.125940 | ||||||||
\(58\) | −8.81584e7 | − | 1.52695e8i | −1.02291 | − | 1.77173i | ||||
\(59\) | −8.19548e7 | + | 1.41950e8i | −0.880523 | + | 1.52511i | −0.0297618 | + | 0.999557i | \(0.509475\pi\) |
−0.850761 | + | 0.525553i | \(0.823858\pi\) | |||||||
\(60\) | −1.83076e7 | + | 3.17097e7i | −0.182369 | + | 0.315872i | ||||
\(61\) | 7.90229e7 | + | 1.36872e8i | 0.730750 | + | 1.26570i | 0.956563 | + | 0.291525i | \(0.0941626\pi\) |
−0.225814 | + | 0.974171i | \(0.572504\pi\) | |||||||
\(62\) | 3.08542e8 | 2.65186 | ||||||||
\(63\) | 2.00678e7 | − | 6.41476e6i | 0.160497 | − | 0.0513036i | ||||
\(64\) | −2.15058e8 | −1.60231 | ||||||||
\(65\) | −4.83517e6 | − | 8.37477e6i | −0.0335971 | − | 0.0581919i | ||||
\(66\) | 4.43064e7 | − | 7.67410e7i | 0.287421 | − | 0.497828i | ||||
\(67\) | −1.24346e6 | + | 2.15373e6i | −0.00753867 | + | 0.0130574i | −0.869770 | − | 0.493457i | \(-0.835733\pi\) |
0.862231 | + | 0.506514i | \(0.169066\pi\) | |||||||
\(68\) | −2.04285e8 | − | 3.53833e8i | −1.15864 | − | 2.00682i | ||||
\(69\) | 1.08035e8 | 0.573778 | ||||||||
\(70\) | −5.86339e7 | − | 5.33027e7i | −0.291882 | − | 0.265343i | ||||
\(71\) | −2.16914e8 | −1.01304 | −0.506518 | − | 0.862229i | \(-0.669068\pi\) | ||||
−0.506518 | + | 0.862229i | \(0.669068\pi\) | |||||||
\(72\) | 2.03628e7 | + | 3.52695e7i | 0.0892980 | + | 0.154669i | ||||
\(73\) | 1.77945e8 | − | 3.08209e8i | 0.733385 | − | 1.27026i | −0.222043 | − | 0.975037i | \(-0.571272\pi\) |
0.955428 | − | 0.295224i | \(-0.0953942\pi\) | |||||||
\(74\) | 3.38795e8 | − | 5.86811e8i | 1.31339 | − | 2.27486i | ||||
\(75\) | −1.17600e8 | − | 2.03689e8i | −0.429172 | − | 0.743348i | ||||
\(76\) | −6.63188e7 | −0.228022 | ||||||||
\(77\) | 8.83732e7 | + | 8.03381e7i | 0.286492 | + | 0.260443i | ||||
\(78\) | 1.34614e8 | 0.411779 | ||||||||
\(79\) | −2.81302e8 | − | 4.87229e8i | −0.812551 | − | 1.40738i | −0.911073 | − | 0.412245i | \(-0.864745\pi\) |
0.0985216 | − | 0.995135i | \(-0.468589\pi\) | |||||||
\(80\) | 3.31867e6 | − | 5.74810e6i | 0.00905855 | − | 0.0156899i | ||||
\(81\) | 1.55571e8 | − | 2.69457e8i | 0.401556 | − | 0.695515i | ||||
\(82\) | 1.22081e8 | + | 2.11450e8i | 0.298184 | + | 0.516470i | ||||
\(83\) | 2.58025e8 | 0.596774 | 0.298387 | − | 0.954445i | \(-0.403551\pi\) | ||||
0.298387 | + | 0.954445i | \(0.403551\pi\) | |||||||
\(84\) | 6.54346e8 | − | 2.09165e8i | 1.43400 | − | 0.458386i | ||||
\(85\) | −1.63652e8 | −0.340045 | ||||||||
\(86\) | −5.18468e8 | − | 8.98013e8i | −1.02207 | − | 1.77027i | ||||
\(87\) | 3.06127e8 | − | 5.30228e8i | 0.572882 | − | 0.992261i | ||||
\(88\) | −1.15434e8 | + | 1.99938e8i | −0.205193 | + | 0.355404i | ||||
\(89\) | 3.11758e8 | + | 5.39981e8i | 0.526699 | + | 0.912269i | 0.999516 | + | 0.0311088i | \(0.00990384\pi\) |
−0.472817 | + | 0.881161i | \(0.656763\pi\) | |||||||
\(90\) | 4.13706e7 | 0.0664662 | ||||||||
\(91\) | −3.85679e7 | + | 1.77286e8i | −0.0589575 | + | 0.271011i | ||||
\(92\) | −7.13842e8 | −1.03886 | ||||||||
\(93\) | 5.35701e8 | + | 9.27861e8i | 0.742589 | + | 1.28620i | ||||
\(94\) | −4.15066e8 | + | 7.18916e8i | −0.548330 | + | 0.949735i | ||||
\(95\) | −1.32819e7 | + | 2.30050e7i | −0.0167303 | + | 0.0289778i | ||||
\(96\) | −3.55966e8 | − | 6.16550e8i | −0.427747 | − | 0.740880i | ||||
\(97\) | −1.11102e9 | −1.27424 | −0.637118 | − | 0.770766i | \(-0.719874\pi\) | ||||
−0.637118 | + | 0.770766i | \(0.719874\pi\) | |||||||
\(98\) | 1.41291e8 | + | 1.47996e9i | 0.154739 | + | 1.62082i | ||||
\(99\) | −6.23540e7 | −0.0652388 | ||||||||
\(100\) | 7.77042e8 | + | 1.34588e9i | 0.777042 | + | 1.34588i | ||||
\(101\) | −9.49608e7 | + | 1.64477e8i | −0.0908026 | + | 0.157275i | −0.907849 | − | 0.419297i | \(-0.862277\pi\) |
0.817047 | + | 0.576572i | \(0.195610\pi\) | |||||||
\(102\) | 1.13904e9 | − | 1.97288e9i | 1.04193 | − | 1.80467i | ||||
\(103\) | −5.02871e8 | − | 8.70998e8i | −0.440240 | − | 0.762517i | 0.557467 | − | 0.830199i | \(-0.311773\pi\) |
−0.997707 | + | 0.0676816i | \(0.978440\pi\) | |||||||
\(104\) | −3.50717e8 | −0.293973 | ||||||||
\(105\) | 5.84923e7 | − | 2.68872e8i | 0.0469620 | − | 0.215871i | ||||
\(106\) | −2.00919e9 | −1.54577 | ||||||||
\(107\) | 4.90004e8 | + | 8.48712e8i | 0.361387 | + | 0.625941i | 0.988189 | − | 0.153238i | \(-0.0489700\pi\) |
−0.626802 | + | 0.779178i | \(0.715637\pi\) | |||||||
\(108\) | −1.24360e9 | + | 2.15398e9i | −0.879578 | + | 1.52347i | ||||
\(109\) | −8.01268e8 | + | 1.38784e9i | −0.543699 | + | 0.941714i | 0.454989 | + | 0.890497i | \(0.349643\pi\) |
−0.998688 | + | 0.0512169i | \(0.983690\pi\) | |||||||
\(110\) | 1.17262e8 | + | 2.03104e8i | 0.0763644 | + | 0.132267i | ||||
\(111\) | 2.35291e9 | 1.47113 | ||||||||
\(112\) | −1.18615e8 | + | 3.79159e7i | −0.0712293 | + | 0.0227688i | ||||
\(113\) | 5.85778e7 | 0.0337971 | 0.0168986 | − | 0.999857i | \(-0.494621\pi\) | ||||
0.0168986 | + | 0.999857i | \(0.494621\pi\) | |||||||
\(114\) | −1.84888e8 | − | 3.20236e8i | −0.102527 | − | 0.177581i | ||||
\(115\) | −1.42964e8 | + | 2.47621e8i | −0.0762230 | + | 0.132022i | ||||
\(116\) | −2.02274e9 | + | 3.50348e9i | −1.03724 | + | 1.79655i | ||||
\(117\) | −4.73617e7 | − | 8.20329e7i | −0.0233664 | − | 0.0404717i | ||||
\(118\) | 6.03870e9 | 2.86731 | ||||||||
\(119\) | 2.27192e9 | + | 2.06535e9i | 1.03856 | + | 0.944132i | ||||
\(120\) | 5.31900e8 | 0.234161 | ||||||||
\(121\) | 1.00224e9 | + | 1.73592e9i | 0.425046 | + | 0.736201i | ||||
\(122\) | 2.91133e9 | − | 5.04258e9i | 1.18980 | − | 2.06079i | ||||
\(123\) | −4.23921e8 | + | 7.34253e8i | −0.166998 | + | 0.289249i | ||||
\(124\) | −3.53964e9 | − | 6.13084e9i | −1.34450 | − | 2.32875i | ||||
\(125\) | 1.28379e9 | 0.470324 | ||||||||
\(126\) | −5.74333e8 | − | 5.22113e8i | −0.203000 | − | 0.184543i | ||||
\(127\) | 1.52793e9 | 0.521178 | 0.260589 | − | 0.965450i | \(-0.416083\pi\) | ||||
0.260589 | + | 0.965450i | \(0.416083\pi\) | |||||||
\(128\) | 2.53693e9 | + | 4.39409e9i | 0.835340 | + | 1.44685i | ||||
\(129\) | 1.80036e9 | − | 3.11832e9i | 0.572409 | − | 0.991442i | ||||
\(130\) | −1.78136e8 | + | 3.08540e8i | −0.0547024 | + | 0.0947473i | ||||
\(131\) | 1.83356e8 | + | 3.17582e8i | 0.0543969 | + | 0.0942182i | 0.891942 | − | 0.452151i | \(-0.149343\pi\) |
−0.837545 | + | 0.546369i | \(0.816010\pi\) | |||||||
\(132\) | −2.03316e9 | −0.582894 | ||||||||
\(133\) | 4.74720e8 | − | 1.51747e8i | 0.131554 | − | 0.0420520i | ||||
\(134\) | 9.16222e7 | 0.0245487 | ||||||||
\(135\) | 4.98121e8 | + | 8.62772e8i | 0.129072 | + | 0.223560i | ||||
\(136\) | −2.96761e9 | + | 5.14005e9i | −0.743843 | + | 1.28837i | ||||
\(137\) | 1.29405e9 | − | 2.24136e9i | 0.313840 | − | 0.543587i | −0.665350 | − | 0.746531i | \(-0.731718\pi\) |
0.979190 | + | 0.202944i | \(0.0650511\pi\) | |||||||
\(138\) | −1.99010e9 | − | 3.44695e9i | −0.467109 | − | 0.809057i | ||||
\(139\) | 5.84239e8 | 0.132747 | 0.0663734 | − | 0.997795i | \(-0.478857\pi\) | ||||
0.0663734 | + | 0.997795i | \(0.478857\pi\) | |||||||
\(140\) | −3.86488e8 | + | 1.77657e9i | −0.0850275 | + | 0.390847i | ||||
\(141\) | −2.88261e9 | −0.614186 | ||||||||
\(142\) | 3.99573e9 | + | 6.92081e9i | 0.824705 | + | 1.42843i | ||||
\(143\) | 2.68487e8 | − | 4.65033e8i | 0.0536922 | − | 0.0929976i | ||||
\(144\) | 3.25072e7 | − | 5.63041e7i | 0.00630011 | − | 0.0109121i | ||||
\(145\) | 8.10202e8 | + | 1.40331e9i | 0.152208 | + | 0.263632i | ||||
\(146\) | −1.31116e10 | −2.38818 | ||||||||
\(147\) | −4.20530e9 | + | 2.99446e9i | −0.742795 | + | 0.528921i | ||||
\(148\) | −1.55469e10 | −2.66358 | ||||||||
\(149\) | 3.89599e9 | + | 6.74805e9i | 0.647559 | + | 1.12160i | 0.983704 | + | 0.179795i | \(0.0575433\pi\) |
−0.336145 | + | 0.941810i | \(0.609123\pi\) | |||||||
\(150\) | −4.33258e9 | + | 7.50425e9i | −0.698773 | + | 1.21031i | ||||
\(151\) | 5.85148e9 | − | 1.01351e10i | 0.915945 | − | 1.58646i | 0.110433 | − | 0.993884i | \(-0.464776\pi\) |
0.805512 | − | 0.592580i | \(-0.201890\pi\) | |||||||
\(152\) | 4.81700e8 | + | 8.34328e8i | 0.0731948 | + | 0.126777i | ||||
\(153\) | −1.60301e9 | −0.236497 | ||||||||
\(154\) | 9.35344e8 | − | 4.29951e9i | 0.134007 | − | 0.615993i | ||||
\(155\) | −2.83559e9 | −0.394594 | ||||||||
\(156\) | −1.54431e9 | − | 2.67483e9i | −0.208773 | − | 0.361606i | ||||
\(157\) | 5.41955e9 | − | 9.38694e9i | 0.711893 | − | 1.23304i | −0.252252 | − | 0.967662i | \(-0.581171\pi\) |
0.964146 | − | 0.265374i | \(-0.0854954\pi\) | |||||||
\(158\) | −1.03636e10 | + | 1.79503e10i | −1.32298 | + | 2.29148i | ||||
\(159\) | −3.48843e9 | − | 6.04214e9i | −0.432856 | − | 0.749728i | ||||
\(160\) | 1.88421e9 | 0.227295 | ||||||||
\(161\) | 5.10979e9 | − | 1.63337e9i | 0.599358 | − | 0.191588i | ||||
\(162\) | −1.14630e10 | −1.30761 | ||||||||
\(163\) | −3.13153e8 | − | 5.42396e8i | −0.0347466 | − | 0.0601828i | 0.848129 | − | 0.529789i | \(-0.177729\pi\) |
−0.882876 | + | 0.469607i | \(0.844396\pi\) | |||||||
\(164\) | 2.80106e9 | − | 4.85157e9i | 0.302360 | − | 0.523703i | ||||
\(165\) | −4.07189e8 | + | 7.05272e8i | −0.0427680 | + | 0.0740763i | ||||
\(166\) | −4.75303e9 | − | 8.23248e9i | −0.485829 | − | 0.841481i | ||||
\(167\) | 8.05822e9 | 0.801706 | 0.400853 | − | 0.916142i | \(-0.368714\pi\) | ||||
0.400853 | + | 0.916142i | \(0.368714\pi\) | |||||||
\(168\) | −7.38418e9 | − | 6.71279e9i | −0.715172 | − | 0.650146i | ||||
\(169\) | 8.15731e8 | 0.0769231 | ||||||||
\(170\) | 3.01460e9 | + | 5.22145e9i | 0.276828 | + | 0.479480i | ||||
\(171\) | −1.30100e8 | + | 2.25339e8i | −0.0116357 | + | 0.0201537i | ||||
\(172\) | −1.18959e10 | + | 2.06043e10i | −1.03638 | + | 1.79506i | ||||
\(173\) | 7.72067e9 | + | 1.33726e10i | 0.655311 | + | 1.13503i | 0.981816 | + | 0.189836i | \(0.0607956\pi\) |
−0.326505 | + | 0.945195i | \(0.605871\pi\) | |||||||
\(174\) | −2.25565e10 | −1.86552 | ||||||||
\(175\) | −8.64173e9 | − | 7.85600e9i | −0.696513 | − | 0.633185i | ||||
\(176\) | 3.68557e8 | 0.0289533 | ||||||||
\(177\) | 1.04846e10 | + | 1.81599e10i | 0.802920 | + | 1.39070i | ||||
\(178\) | 1.14857e10 | − | 1.98938e10i | 0.857564 | − | 1.48534i | ||||
\(179\) | 3.37861e9 | − | 5.85192e9i | 0.245980 | − | 0.426049i | −0.716427 | − | 0.697662i | \(-0.754224\pi\) |
0.962407 | + | 0.271613i | \(0.0875571\pi\) | |||||||
\(180\) | −4.74611e8 | − | 8.22050e8i | −0.0336986 | − | 0.0583676i | ||||
\(181\) | 2.35157e9 | 0.162856 | 0.0814282 | − | 0.996679i | \(-0.474052\pi\) | ||||
0.0814282 | + | 0.996679i | \(0.474052\pi\) | |||||||
\(182\) | 6.36689e9 | − | 2.03521e9i | 0.430137 | − | 0.137495i | ||||
\(183\) | 2.02190e10 | 1.33269 | ||||||||
\(184\) | 5.18491e9 | + | 8.98053e9i | 0.333474 | + | 0.577593i | ||||
\(185\) | −3.11363e9 | + | 5.39296e9i | −0.195431 | + | 0.338497i | ||||
\(186\) | 1.97361e10 | − | 3.41839e10i | 1.20907 | − | 2.09418i | ||||
\(187\) | −4.54363e9 | − | 7.86979e9i | −0.271716 | − | 0.470626i | ||||
\(188\) | 1.90468e10 | 1.11202 | ||||||||
\(189\) | 3.97328e9 | − | 1.82640e10i | 0.226501 | − | 1.04116i | ||||
\(190\) | 9.78656e8 | 0.0544802 | ||||||||
\(191\) | 1.09307e10 | + | 1.89325e10i | 0.594289 | + | 1.02934i | 0.993647 | + | 0.112543i | \(0.0358997\pi\) |
−0.399358 | + | 0.916795i | \(0.630767\pi\) | |||||||
\(192\) | −1.37564e10 | + | 2.38267e10i | −0.730547 | + | 1.26535i | ||||
\(193\) | 9.64222e8 | − | 1.67008e9i | 0.0500229 | − | 0.0866423i | −0.839930 | − | 0.542695i | \(-0.817404\pi\) |
0.889953 | + | 0.456053i | \(0.150737\pi\) | |||||||
\(194\) | 2.04659e10 | + | 3.54481e10i | 1.03735 | + | 1.79674i | ||||
\(195\) | −1.23714e9 | −0.0612723 | ||||||||
\(196\) | 2.77865e10 | − | 1.97859e10i | 1.34488 | − | 0.957643i | ||||
\(197\) | 8.91143e9 | 0.421550 | 0.210775 | − | 0.977535i | \(-0.432401\pi\) | ||||
0.210775 | + | 0.977535i | \(0.432401\pi\) | |||||||
\(198\) | 1.14861e9 | + | 1.98945e9i | 0.0531104 | + | 0.0919900i | ||||
\(199\) | 8.73711e9 | − | 1.51331e10i | 0.394938 | − | 0.684053i | −0.598155 | − | 0.801380i | \(-0.704099\pi\) |
0.993093 | + | 0.117328i | \(0.0374327\pi\) | |||||||
\(200\) | 1.12879e10 | − | 1.95513e10i | 0.498860 | − | 0.864051i | ||||
\(201\) | 1.59078e8 | + | 2.75530e8i | 0.00687427 | + | 0.0119066i | ||||
\(202\) | 6.99702e9 | 0.295687 | ||||||||
\(203\) | 6.46259e9 | − | 2.97067e10i | 0.267101 | − | 1.22779i | ||||
\(204\) | −5.22691e10 | −2.11305 | ||||||||
\(205\) | −1.12196e9 | − | 1.94329e9i | −0.0443694 | − | 0.0768501i | ||||
\(206\) | −1.85266e10 | + | 3.20890e10i | −0.716792 | + | 1.24152i | ||||
\(207\) | −1.40037e9 | + | 2.42551e9i | −0.0530121 | + | 0.0918197i | ||||
\(208\) | 2.79942e8 | + | 4.84874e8i | 0.0103701 | + | 0.0179616i | ||||
\(209\) | −1.47504e9 | −0.0534742 | ||||||||
\(210\) | −9.65607e9 | + | 3.08661e9i | −0.342621 | + | 0.109520i | ||||
\(211\) | −1.31801e10 | −0.457770 | −0.228885 | − | 0.973454i | \(-0.573508\pi\) | ||||
−0.228885 | + | 0.973454i | \(0.573508\pi\) | |||||||
\(212\) | 2.30498e10 | + | 3.99235e10i | 0.783711 | + | 1.35743i | ||||
\(213\) | −1.38751e10 | + | 2.40323e10i | −0.461877 | + | 0.799995i | ||||
\(214\) | 1.80526e10 | − | 3.12679e10i | 0.588406 | − | 1.01915i | ||||
\(215\) | 4.76487e9 | + | 8.25300e9i | 0.152082 | + | 0.263414i | ||||
\(216\) | 3.61310e10 | 1.12938 | ||||||||
\(217\) | 3.93655e10 | + | 3.57862e10i | 1.20516 | + | 1.09559i | ||||
\(218\) | 5.90401e10 | 1.77049 | ||||||||
\(219\) | −2.27647e10 | − | 3.94297e10i | −0.668750 | − | 1.15831i | ||||
\(220\) | 2.69050e9 | − | 4.66009e9i | 0.0774339 | − | 0.134119i | ||||
\(221\) | 6.90233e9 | − | 1.19552e10i | 0.194639 | − | 0.337125i | ||||
\(222\) | −4.33426e10 | − | 7.50716e10i | −1.19764 | − | 2.07437i | ||||
\(223\) | −3.62111e10 | −0.980550 | −0.490275 | − | 0.871568i | \(-0.663104\pi\) | ||||
−0.490275 | + | 0.871568i | \(0.663104\pi\) | |||||||
\(224\) | −2.61578e10 | − | 2.37795e10i | −0.694201 | − | 0.631082i | ||||
\(225\) | 6.09739e9 | 0.158607 | ||||||||
\(226\) | −1.07905e9 | − | 1.86897e9i | −0.0275140 | − | 0.0476557i | ||||
\(227\) | −1.99868e10 | + | 3.46182e10i | −0.499606 | + | 0.865343i | −1.00000 | 0.000454911i | \(-0.999855\pi\) | |
0.500394 | + | 0.865798i | \(0.333189\pi\) | |||||||
\(228\) | −4.24213e9 | + | 7.34759e9i | −0.103963 | + | 0.180069i | ||||
\(229\) | 1.46194e10 | + | 2.53216e10i | 0.351293 | + | 0.608458i | 0.986476 | − | 0.163904i | \(-0.0524086\pi\) |
−0.635183 | + | 0.772362i | \(0.719075\pi\) | |||||||
\(230\) | 1.05341e10 | 0.248211 | ||||||||
\(231\) | 1.45537e10 | − | 4.65215e9i | 0.336294 | − | 0.107498i | ||||
\(232\) | 5.87677e10 | 1.33181 | ||||||||
\(233\) | 7.61495e9 | + | 1.31895e10i | 0.169264 | + | 0.293175i | 0.938161 | − | 0.346198i | \(-0.112527\pi\) |
−0.768897 | + | 0.639373i | \(0.779194\pi\) | |||||||
\(234\) | −1.74488e9 | + | 3.02223e9i | −0.0380448 | + | 0.0658955i | ||||
\(235\) | 3.81458e9 | − | 6.60705e9i | 0.0815909 | − | 0.141320i | ||||
\(236\) | −6.92770e10 | − | 1.19991e11i | −1.45373 | − | 2.51794i | ||||
\(237\) | −7.19748e10 | −1.48188 | ||||||||
\(238\) | 2.40461e10 | − | 1.10533e11i | 0.485789 | − | 2.23303i | ||||
\(239\) | −7.43042e10 | −1.47307 | −0.736534 | − | 0.676400i | \(-0.763539\pi\) | ||||
−0.736534 | + | 0.676400i | \(0.763539\pi\) | |||||||
\(240\) | −4.24562e8 | − | 7.35363e8i | −0.00826020 | − | 0.0143071i | ||||
\(241\) | −8.97834e9 | + | 1.55509e10i | −0.171443 | + | 0.296948i | −0.938924 | − | 0.344123i | \(-0.888176\pi\) |
0.767482 | + | 0.641071i | \(0.221510\pi\) | |||||||
\(242\) | 3.69240e10 | − | 6.39543e10i | 0.692054 | − | 1.19867i | ||||
\(243\) | 9.05486e9 | + | 1.56835e10i | 0.166592 | + | 0.288545i | ||||
\(244\) | −1.33597e11 | −2.41292 | ||||||||
\(245\) | −1.29851e9 | − | 1.36013e10i | −0.0230249 | − | 0.241176i | ||||
\(246\) | 3.12359e10 | 0.543808 | ||||||||
\(247\) | −1.12038e9 | − | 1.94056e9i | −0.0191527 | − | 0.0331734i | ||||
\(248\) | −5.14196e10 | + | 8.90613e10i | −0.863169 | + | 1.49505i | ||||
\(249\) | 1.65047e10 | − | 2.85870e10i | 0.272089 | − | 0.471273i | ||||
\(250\) | −2.36484e10 | − | 4.09602e10i | −0.382888 | − | 0.663181i | ||||
\(251\) | 4.60433e10 | 0.732209 | 0.366104 | − | 0.930574i | \(-0.380691\pi\) | ||||
0.366104 | + | 0.930574i | \(0.380691\pi\) | |||||||
\(252\) | −3.78574e9 | + | 1.74020e10i | −0.0591356 | + | 0.271829i | ||||
\(253\) | −1.58770e10 | −0.243627 | ||||||||
\(254\) | −2.81457e10 | − | 4.87498e10i | −0.424287 | − | 0.734887i | ||||
\(255\) | −1.04681e10 | + | 1.81313e10i | −0.155038 | + | 0.268534i | ||||
\(256\) | 3.84097e10 | − | 6.65275e10i | 0.558934 | − | 0.968103i | ||||
\(257\) | 3.95831e10 | + | 6.85599e10i | 0.565992 | + | 0.980327i | 0.996957 | + | 0.0779583i | \(0.0248401\pi\) |
−0.430964 | + | 0.902369i | \(0.641827\pi\) | |||||||
\(258\) | −1.32657e11 | −1.86398 | ||||||||
\(259\) | 1.11287e11 | − | 3.55733e10i | 1.53672 | − | 0.491220i | ||||
\(260\) | 8.17442e9 | 0.110937 | ||||||||
\(261\) | 7.93613e9 | + | 1.37458e10i | 0.105859 | + | 0.183353i | ||||
\(262\) | 6.75514e9 | − | 1.17002e10i | 0.0885683 | − | 0.153405i | ||||
\(263\) | −7.35738e10 | + | 1.27434e11i | −0.948249 | + | 1.64242i | −0.199137 | + | 0.979972i | \(0.563814\pi\) |
−0.749112 | + | 0.662444i | \(0.769519\pi\) | |||||||
\(264\) | 1.47677e10 | + | 2.55783e10i | 0.187109 | + | 0.324082i | ||||
\(265\) | 1.84651e10 | 0.230009 | ||||||||
\(266\) | −1.35863e10 | − | 1.23510e10i | −0.166393 | − | 0.151264i | ||||
\(267\) | 7.97673e10 | 0.960560 | ||||||||
\(268\) | −1.05111e9 | − | 1.82057e9i | −0.0124463 | − | 0.0215576i | ||||
\(269\) | −5.03626e10 | + | 8.72306e10i | −0.586439 | + | 1.01574i | 0.408255 | + | 0.912868i | \(0.366137\pi\) |
−0.994694 | + | 0.102875i | \(0.967196\pi\) | |||||||
\(270\) | 1.83516e10 | − | 3.17859e10i | 0.210154 | − | 0.363997i | ||||
\(271\) | −1.90084e10 | − | 3.29234e10i | −0.214083 | − | 0.370803i | 0.738905 | − | 0.673809i | \(-0.235343\pi\) |
−0.952989 | + | 0.303006i | \(0.902010\pi\) | |||||||
\(272\) | 9.47496e9 | 0.104958 | ||||||||
\(273\) | 1.71748e10 | + | 1.56132e10i | 0.187137 | + | 0.170122i | ||||
\(274\) | −9.53498e10 | −1.02198 | ||||||||
\(275\) | 1.72826e10 | + | 2.99344e10i | 0.182227 | + | 0.315627i | ||||
\(276\) | −4.56615e10 | + | 7.90880e10i | −0.473651 | + | 0.820388i | ||||
\(277\) | 2.34053e10 | − | 4.05392e10i | 0.238867 | − | 0.413730i | −0.721523 | − | 0.692391i | \(-0.756557\pi\) |
0.960389 | + | 0.278661i | \(0.0898907\pi\) | |||||||
\(278\) | −1.07622e10 | − | 1.86406e10i | −0.108068 | − | 0.187180i | ||||
\(279\) | −2.77753e10 | −0.274435 | ||||||||
\(280\) | 2.51575e10 | − | 8.04172e9i | 0.244600 | − | 0.0781876i | ||||
\(281\) | 9.93874e10 | 0.950940 | 0.475470 | − | 0.879732i | \(-0.342278\pi\) | ||||
0.475470 | + | 0.879732i | \(0.342278\pi\) | |||||||
\(282\) | 5.31000e10 | + | 9.19719e10i | 0.500004 | + | 0.866033i | ||||
\(283\) | −4.32956e10 | + | 7.49902e10i | −0.401240 | + | 0.694969i | −0.993876 | − | 0.110502i | \(-0.964754\pi\) |
0.592635 | + | 0.805471i | \(0.298087\pi\) | |||||||
\(284\) | 9.16794e10 | − | 1.58793e11i | 0.836256 | − | 1.44844i | ||||
\(285\) | 1.69918e9 | + | 2.94306e9i | 0.0152559 | + | 0.0264239i | ||||
\(286\) | −1.97830e10 | −0.174842 | ||||||||
\(287\) | −8.94931e9 | + | 4.11375e10i | −0.0778612 | + | 0.357906i | ||||
\(288\) | 1.84563e10 | 0.158081 | ||||||||
\(289\) | −5.75147e10 | − | 9.96184e10i | −0.484997 | − | 0.840039i | ||||
\(290\) | 2.98492e10 | − | 5.17003e10i | 0.247823 | − | 0.429242i | ||||
\(291\) | −7.10673e10 | + | 1.23092e11i | −0.580967 | + | 1.00626i | ||||
\(292\) | 1.50418e11 | + | 2.60532e11i | 1.21081 | + | 2.09719i | ||||
\(293\) | −1.27509e11 | −1.01073 | −0.505365 | − | 0.862906i | \(-0.668642\pi\) | ||||
−0.505365 | + | 0.862906i | \(0.668642\pi\) | |||||||
\(294\) | 1.73006e11 | + | 7.90131e10i | 1.35051 | + | 0.616788i | ||||
\(295\) | −5.54975e10 | −0.426652 | ||||||||
\(296\) | 1.12923e11 | + | 1.95588e11i | 0.855007 | + | 1.48091i | ||||
\(297\) | −2.76596e10 | + | 4.79079e10i | −0.206273 | + | 0.357275i | ||||
\(298\) | 1.43535e11 | − | 2.48609e11i | 1.05435 | − | 1.82618i | ||||
\(299\) | −1.20595e10 | − | 2.08878e10i | −0.0872591 | − | 0.151137i | ||||
\(300\) | 1.98816e11 | 1.41712 | ||||||||
\(301\) | 3.80071e10 | − | 1.74708e11i | 0.266880 | − | 1.22677i | ||||
\(302\) | −4.31156e11 | −2.98266 | ||||||||
\(303\) | 1.21485e10 | + | 2.10418e10i | 0.0827999 | + | 0.143414i | ||||
\(304\) | 7.68984e8 | − | 1.33192e9i | 0.00516400 | − | 0.00894431i | ||||
\(305\) | −2.67560e10 | + | 4.63428e10i | −0.177040 | + | 0.306643i | ||||
\(306\) | 2.95288e10 | + | 5.11454e10i | 0.192530 | + | 0.333473i | ||||
\(307\) | 2.10633e10 | 0.135333 | 0.0676664 | − | 0.997708i | \(-0.478445\pi\) | ||||
0.0676664 | + | 0.997708i | \(0.478445\pi\) | |||||||
\(308\) | −9.61634e10 | + | 3.07391e10i | −0.608880 | + | 0.194631i | ||||
\(309\) | −1.28666e11 | −0.802880 | ||||||||
\(310\) | 5.22339e10 | + | 9.04718e10i | 0.321236 | + | 0.556398i | ||||
\(311\) | 8.17644e10 | − | 1.41620e11i | 0.495613 | − | 0.858426i | −0.504374 | − | 0.863485i | \(-0.668277\pi\) |
0.999987 | + | 0.00505856i | \(0.00161020\pi\) | |||||||
\(312\) | −2.24339e10 | + | 3.88567e10i | −0.134032 | + | 0.232151i | ||||
\(313\) | 1.51478e11 | + | 2.62368e11i | 0.892073 | + | 1.54512i | 0.837386 | + | 0.546611i | \(0.184083\pi\) |
0.0546862 | + | 0.998504i | \(0.482584\pi\) | |||||||
\(314\) | −3.99331e11 | −2.31819 | ||||||||
\(315\) | 5.27829e9 | + | 4.79838e9i | 0.0302062 | + | 0.0274598i | ||||
\(316\) | 4.75573e11 | 2.68303 | ||||||||
\(317\) | 9.47891e10 | + | 1.64179e11i | 0.527220 | + | 0.913171i | 0.999497 | + | 0.0317211i | \(0.0100988\pi\) |
−0.472277 | + | 0.881450i | \(0.656568\pi\) | |||||||
\(318\) | −1.28520e11 | + | 2.22603e11i | −0.704770 | + | 1.22070i | ||||
\(319\) | −4.49888e10 | + | 7.79229e10i | −0.243246 | + | 0.421315i | ||||
\(320\) | −3.64079e10 | − | 6.30603e10i | −0.194098 | − | 0.336187i | ||||
\(321\) | 1.25374e11 | 0.659074 | ||||||||
\(322\) | −1.46240e11 | − | 1.32944e11i | −0.758082 | − | 0.689155i | ||||
\(323\) | −3.79206e10 | −0.193849 | ||||||||
\(324\) | 1.31505e11 | + | 2.27774e11i | 0.662965 | + | 1.14829i | ||||
\(325\) | −2.62545e10 | + | 4.54741e10i | −0.130535 | + | 0.226094i | ||||
\(326\) | −1.15371e10 | + | 1.99828e10i | −0.0565739 | + | 0.0979888i | ||||
\(327\) | 1.02507e11 | + | 1.77548e11i | 0.495781 | + | 0.858719i | ||||
\(328\) | −8.13807e10 | −0.388230 | ||||||||
\(329\) | −1.36340e11 | + | 4.35817e10i | −0.641567 | + | 0.205080i | ||||
\(330\) | 3.00030e10 | 0.139268 | ||||||||
\(331\) | 1.56941e11 | + | 2.71831e11i | 0.718641 | + | 1.24472i | 0.961538 | + | 0.274670i | \(0.0885687\pi\) |
−0.242898 | + | 0.970052i | \(0.578098\pi\) | |||||||
\(332\) | −1.09055e11 | + | 1.88889e11i | −0.492634 | + | 0.853267i | ||||
\(333\) | −3.04988e10 | + | 5.28254e10i | −0.135920 | + | 0.235420i | ||||
\(334\) | −1.48439e11 | − | 2.57104e11i | −0.652663 | − | 1.13045i | ||||
\(335\) | −8.42035e8 | −0.00365282 | ||||||||
\(336\) | −3.38653e9 | + | 1.55669e10i | −0.0144953 | + | 0.0666309i | ||||
\(337\) | −7.77314e10 | −0.328293 | −0.164147 | − | 0.986436i | \(-0.552487\pi\) | ||||
−0.164147 | + | 0.986436i | \(0.552487\pi\) | |||||||
\(338\) | −1.50264e10 | − | 2.60265e10i | −0.0626226 | − | 0.108465i | ||||
\(339\) | 3.74697e9 | − | 6.48994e9i | 0.0154093 | − | 0.0266896i | ||||
\(340\) | 6.91681e10 | − | 1.19803e11i | 0.280705 | − | 0.486196i | ||||
\(341\) | −7.87272e10 | − | 1.36359e11i | −0.315304 | − | 0.546123i | ||||
\(342\) | 9.58618e9 | 0.0378903 | ||||||||
\(343\) | −1.53627e11 | + | 2.05210e11i | −0.599300 | + | 0.800524i | ||||
\(344\) | 3.45618e11 | 1.33071 | ||||||||
\(345\) | 1.82896e10 | + | 3.16785e10i | 0.0695053 | + | 0.120387i | ||||
\(346\) | 2.84442e11 | − | 4.92668e11i | 1.06697 | − | 1.84804i | ||||
\(347\) | 2.14146e11 | − | 3.70911e11i | 0.792914 | − | 1.37337i | −0.131241 | − | 0.991351i | \(-0.541896\pi\) |
0.924155 | − | 0.382018i | \(-0.124771\pi\) | |||||||
\(348\) | 2.58772e11 | + | 4.48206e11i | 0.945824 | + | 1.63821i | ||||
\(349\) | −1.12117e11 | −0.404536 | −0.202268 | − | 0.979330i | \(-0.564831\pi\) | ||||
−0.202268 | + | 0.979330i | \(0.564831\pi\) | |||||||
\(350\) | −9.14643e10 | + | 4.20435e11i | −0.325796 | + | 1.49759i | ||||
\(351\) | −8.40369e10 | −0.295521 | ||||||||
\(352\) | 5.23131e10 | + | 9.06090e10i | 0.181622 | + | 0.314579i | ||||
\(353\) | −2.97920e10 | + | 5.16013e10i | −0.102121 | + | 0.176878i | −0.912558 | − | 0.408947i | \(-0.865896\pi\) |
0.810438 | + | 0.585825i | \(0.199229\pi\) | |||||||
\(354\) | 3.86270e11 | − | 6.69040e11i | 1.30730 | − | 2.26432i | ||||
\(355\) | −3.67220e10 | − | 6.36043e10i | −0.122715 | − | 0.212549i | ||||
\(356\) | −5.27063e11 | −1.73915 | ||||||||
\(357\) | 3.74149e11 | − | 1.19599e11i | 1.21910 | − | 0.389690i | ||||
\(358\) | −2.48947e11 | −0.801001 | ||||||||
\(359\) | −9.94656e10 | − | 1.72279e11i | −0.316044 | − | 0.547405i | 0.663615 | − | 0.748075i | \(-0.269021\pi\) |
−0.979659 | + | 0.200670i | \(0.935688\pi\) | |||||||
\(360\) | −6.89457e9 | + | 1.19417e10i | −0.0216344 | + | 0.0374719i | ||||
\(361\) | 1.58266e11 | − | 2.74125e11i | 0.490463 | − | 0.849506i | ||||
\(362\) | −4.33179e10 | − | 7.50288e10i | −0.132580 | − | 0.229636i | ||||
\(363\) | 2.56435e11 | 0.775171 | ||||||||
\(364\) | −1.13482e11 | − | 1.03164e11i | −0.338823 | − | 0.308016i | ||||
\(365\) | 1.20499e11 | 0.355358 | ||||||||
\(366\) | −3.72451e11 | − | 6.45104e11i | −1.08494 | − | 1.87917i | ||||
\(367\) | 2.30404e11 | − | 3.99071e11i | 0.662968 | − | 1.14829i | −0.316864 | − | 0.948471i | \(-0.602630\pi\) |
0.979832 | − | 0.199824i | \(-0.0640369\pi\) | |||||||
\(368\) | 8.27718e9 | − | 1.43365e10i | 0.0235270 | − | 0.0407500i | ||||
\(369\) | −1.09898e10 | − | 1.90350e10i | −0.0308584 | − | 0.0534483i | ||||
\(370\) | 2.29423e11 | 0.636397 | ||||||||
\(371\) | −2.56344e11 | − | 2.33037e11i | −0.702491 | − | 0.638619i | ||||
\(372\) | −9.05663e11 | −2.45202 | ||||||||
\(373\) | 1.84330e11 | + | 3.19268e11i | 0.493066 | + | 0.854016i | 0.999968 | − | 0.00798779i | \(-0.00254262\pi\) |
−0.506902 | + | 0.862004i | \(0.669209\pi\) | |||||||
\(374\) | −1.67395e11 | + | 2.89936e11i | −0.442404 | + | 0.766267i | ||||
\(375\) | 8.21183e10 | − | 1.42233e11i | 0.214437 | − | 0.371415i | ||||
\(376\) | −1.38345e11 | − | 2.39620e11i | −0.356958 | − | 0.618269i | ||||
\(377\) | −1.36687e11 | −0.348491 | ||||||||
\(378\) | −6.55920e11 | + | 2.09668e11i | −1.65249 | + | 0.528225i | ||||
\(379\) | −7.71749e11 | −1.92132 | −0.960659 | − | 0.277729i | \(-0.910418\pi\) | ||||
−0.960659 | + | 0.277729i | \(0.910418\pi\) | |||||||
\(380\) | −1.12273e10 | − | 1.94463e10i | −0.0276216 | − | 0.0478421i | ||||
\(381\) | 9.77350e10 | − | 1.69282e11i | 0.237623 | − | 0.411574i | ||||
\(382\) | 4.02705e11 | − | 6.97505e11i | 0.967613 | − | 1.67595i | ||||
\(383\) | 8.53288e10 | + | 1.47794e11i | 0.202629 | + | 0.350963i | 0.949375 | − | 0.314146i | \(-0.101718\pi\) |
−0.746746 | + | 0.665109i | \(0.768385\pi\) | |||||||
\(384\) | 6.49106e11 | 1.52344 | ||||||||
\(385\) | −8.59609e9 | + | 3.95138e10i | −0.0199401 | + | 0.0916591i | ||||
\(386\) | −7.10471e10 | −0.162893 | ||||||||
\(387\) | 4.66731e10 | + | 8.08402e10i | 0.105771 | + | 0.183201i | ||||
\(388\) | 4.69577e11 | − | 8.13332e11i | 1.05188 | − | 1.82190i | ||||
\(389\) | −2.96447e11 | + | 5.13462e11i | −0.656409 | + | 1.13693i | 0.325130 | + | 0.945669i | \(0.394592\pi\) |
−0.981539 | + | 0.191264i | \(0.938741\pi\) | |||||||
\(390\) | 2.27892e10 | + | 3.94720e10i | 0.0498813 | + | 0.0863970i | ||||
\(391\) | −4.08169e11 | −0.883171 | ||||||||
\(392\) | −4.50742e11 | − | 2.05857e11i | −0.964142 | − | 0.440331i | ||||
\(393\) | 4.69140e10 | 0.0992056 | ||||||||
\(394\) | −1.64156e11 | − | 2.84326e11i | −0.343181 | − | 0.594407i | ||||
\(395\) | 9.52448e10 | − | 1.64969e11i | 0.196859 | − | 0.340969i | ||||
\(396\) | 2.63541e10 | − | 4.56467e10i | 0.0538543 | − | 0.0932784i | ||||
\(397\) | 1.99264e10 | + | 3.45135e10i | 0.0402598 | + | 0.0697320i | 0.885453 | − | 0.464729i | \(-0.153848\pi\) |
−0.845193 | + | 0.534461i | \(0.820515\pi\) | |||||||
\(398\) | −6.43779e11 | −1.28607 | ||||||||
\(399\) | 1.35535e10 | − | 6.23017e10i | 0.0267716 | − | 0.123061i | ||||
\(400\) | −3.60400e10 | −0.0703906 | ||||||||
\(401\) | 6.76031e10 | + | 1.17092e11i | 0.130562 | + | 0.226140i | 0.923893 | − | 0.382650i | \(-0.124989\pi\) |
−0.793331 | + | 0.608790i | \(0.791655\pi\) | |||||||
\(402\) | 5.86068e9 | − | 1.01510e10i | 0.0111926 | − | 0.0193861i | ||||
\(403\) | 1.19596e11 | − | 2.07147e11i | 0.225863 | − | 0.391206i | ||||
\(404\) | −8.02710e10 | − | 1.39034e11i | −0.149914 | − | 0.259659i | ||||
\(405\) | 1.05348e11 | 0.194572 | ||||||||
\(406\) | −1.06686e12 | + | 3.41028e11i | −1.94868 | + | 0.622907i | ||||
\(407\) | −3.45787e11 | −0.624645 | ||||||||
\(408\) | 3.79650e11 | + | 6.57574e11i | 0.678287 | + | 1.17483i | ||||
\(409\) | 3.51448e11 | − | 6.08726e11i | 0.621022 | − | 1.07564i | −0.368274 | − | 0.929717i | \(-0.620051\pi\) |
0.989296 | − | 0.145924i | \(-0.0466154\pi\) | |||||||
\(410\) | −4.13347e10 | + | 7.15939e10i | −0.0722417 | + | 0.125126i | ||||
\(411\) | −1.65550e11 | − | 2.86740e11i | −0.286181 | − | 0.495679i | ||||
\(412\) | 8.50161e11 | 1.45366 | ||||||||
\(413\) | 7.70451e11 | + | 7.00400e11i | 1.30308 | + | 1.18460i | ||||
\(414\) | 1.03184e11 | 0.172627 | ||||||||
\(415\) | 4.36817e10 | + | 7.56590e10i | 0.0722909 | + | 0.125211i | ||||
\(416\) | −7.94701e10 | + | 1.37646e11i | −0.130102 | + | 0.225343i | ||||
\(417\) | 3.73713e10 | − | 6.47290e10i | 0.0605238 | − | 0.104830i | ||||
\(418\) | 2.71714e10 | + | 4.70622e10i | 0.0435330 | + | 0.0754013i | ||||
\(419\) | 8.20492e11 | 1.30050 | 0.650252 | − | 0.759719i | \(-0.274664\pi\) | ||||
0.650252 | + | 0.759719i | \(0.274664\pi\) | |||||||
\(420\) | 1.72108e11 | + | 1.56460e11i | 0.269886 | + | 0.245347i | ||||
\(421\) | 4.15213e11 | 0.644172 | 0.322086 | − | 0.946710i | \(-0.395616\pi\) | ||||
0.322086 | + | 0.946710i | \(0.395616\pi\) | |||||||
\(422\) | 2.42788e11 | + | 4.20521e11i | 0.372667 | + | 0.645479i | ||||
\(423\) | 3.73648e10 | − | 6.47177e10i | 0.0567454 | − | 0.0982859i | ||||
\(424\) | 3.34840e11 | − | 5.79959e11i | 0.503142 | − | 0.871467i | ||||
\(425\) | 4.44306e11 | + | 7.69561e11i | 0.660591 | + | 1.14418i | ||||
\(426\) | 1.02236e12 | 1.50404 | ||||||||
\(427\) | 9.56308e11 | − | 3.05689e11i | 1.39211 | − | 0.444994i | ||||
\(428\) | −8.28408e11 | −1.19329 | ||||||||
\(429\) | −3.43480e10 | − | 5.94924e10i | −0.0489602 | − | 0.0848015i | ||||
\(430\) | 1.75546e11 | − | 3.04054e11i | 0.247618 | − | 0.428887i | ||||
\(431\) | 2.39008e11 | − | 4.13973e11i | 0.333629 | − | 0.577863i | −0.649591 | − | 0.760283i | \(-0.725060\pi\) |
0.983221 | + | 0.182421i | \(0.0583934\pi\) | |||||||
\(432\) | −2.88397e10 | − | 4.99519e10i | −0.0398396 | − | 0.0690041i | ||||
\(433\) | 1.83704e11 | 0.251144 | 0.125572 | − | 0.992085i | \(-0.459923\pi\) | ||||
0.125572 | + | 0.992085i | \(0.459923\pi\) | |||||||
\(434\) | 4.16645e11 | − | 1.91520e12i | 0.563718 | − | 2.59125i | ||||
\(435\) | 2.07301e11 | 0.277587 | ||||||||
\(436\) | −6.77318e11 | − | 1.17315e12i | −0.897642 | − | 1.55476i | ||||
\(437\) | −3.31268e10 | + | 5.73774e10i | −0.0434524 | + | 0.0752617i | ||||
\(438\) | −8.38690e11 | + | 1.45265e12i | −1.08885 | + | 1.88594i | ||||
\(439\) | 2.85067e11 | + | 4.93750e11i | 0.366316 | + | 0.634479i | 0.988986 | − | 0.148006i | \(-0.0472855\pi\) |
−0.622670 | + | 0.782484i | \(0.713952\pi\) | |||||||
\(440\) | −7.81687e10 | −0.0994250 | ||||||||
\(441\) | −1.27192e10 | − | 1.33228e11i | −0.0160135 | − | 0.167735i | ||||
\(442\) | −5.08587e11 | −0.633818 | ||||||||
\(443\) | −4.81428e11 | − | 8.33857e11i | −0.593901 | − | 1.02867i | −0.993701 | − | 0.112064i | \(-0.964254\pi\) |
0.399800 | − | 0.916602i | \(-0.369080\pi\) | |||||||
\(444\) | −9.94467e11 | + | 1.72247e12i | −1.21441 | + | 2.10343i | ||||
\(445\) | −1.05557e11 | + | 1.82830e11i | −0.127605 | + | 0.221018i | ||||
\(446\) | 6.67038e11 | + | 1.15534e12i | 0.798259 | + | 1.38263i | ||||
\(447\) | 9.96839e11 | 1.18098 | ||||||||
\(448\) | −2.90408e11 | + | 1.33492e12i | −0.340610 | + | 1.56569i | ||||
\(449\) | 1.29437e12 | 1.50297 | 0.751485 | − | 0.659750i | \(-0.229338\pi\) | ||||
0.751485 | + | 0.659750i | \(0.229338\pi\) | |||||||
\(450\) | −1.12319e11 | − | 1.94542e11i | −0.129121 | − | 0.223644i | ||||
\(451\) | 6.22999e10 | − | 1.07907e11i | 0.0709076 | − | 0.122816i | ||||
\(452\) | −2.47581e10 | + | 4.28823e10i | −0.0278994 | + | 0.0483231i | ||||
\(453\) | −7.48588e11 | − | 1.29659e12i | −0.835221 | − | 1.44664i | ||||
\(454\) | 1.47270e12 | 1.62690 | ||||||||
\(455\) | −5.85137e10 | + | 1.87042e10i | −0.0640038 | + | 0.0204591i | ||||
\(456\) | 1.23249e11 | 0.133488 | ||||||||
\(457\) | −7.89622e11 | − | 1.36767e12i | −0.846830 | − | 1.46675i | −0.884022 | − | 0.467445i | \(-0.845175\pi\) |
0.0371924 | − | 0.999308i | \(-0.488159\pi\) | |||||||
\(458\) | 5.38603e11 | − | 9.32888e11i | 0.571971 | − | 0.990683i | ||||
\(459\) | −7.11081e11 | + | 1.23163e12i | −0.747759 | + | 1.29516i | ||||
\(460\) | −1.20848e11 | − | 2.09316e11i | −0.125843 | − | 0.217967i | ||||
\(461\) | 1.46004e12 | 1.50560 | 0.752799 | − | 0.658250i | \(-0.228703\pi\) | ||||
0.752799 | + | 0.658250i | \(0.228703\pi\) | |||||||
\(462\) | −4.16521e11 | − | 3.78650e11i | −0.425352 | − | 0.386678i | ||||
\(463\) | −8.17519e11 | −0.826768 | −0.413384 | − | 0.910557i | \(-0.635653\pi\) | ||||
−0.413384 | + | 0.910557i | \(0.635653\pi\) | |||||||
\(464\) | −4.69083e10 | − | 8.12475e10i | −0.0469806 | − | 0.0813728i | ||||
\(465\) | −1.81381e11 | + | 3.14160e11i | −0.179909 | + | 0.311611i | ||||
\(466\) | 2.80547e11 | − | 4.85922e11i | 0.275594 | − | 0.477343i | ||||
\(467\) | 8.49753e11 | + | 1.47181e12i | 0.826735 | + | 1.43195i | 0.900586 | + | 0.434678i | \(0.143138\pi\) |
−0.0738504 | + | 0.997269i | \(0.523529\pi\) | |||||||
\(468\) | 8.00704e10 | 0.0771553 | ||||||||
\(469\) | 1.16897e10 | + | 1.06268e10i | 0.0111564 | + | 0.0101420i | ||||
\(470\) | −2.81071e11 | −0.265690 | ||||||||
\(471\) | −6.93331e11 | − | 1.20089e12i | −0.649153 | − | 1.12437i | ||||
\(472\) | −1.00637e12 | + | 1.74309e12i | −0.933296 | + | 1.61652i | ||||
\(473\) | −2.64583e11 | + | 4.58272e11i | −0.243045 | + | 0.420967i | ||||
\(474\) | 1.32583e12 | + | 2.29641e12i | 1.20639 | + | 2.08952i | ||||
\(475\) | 1.44239e11 | 0.130005 | ||||||||
\(476\) | −2.47219e12 | + | 7.90248e11i | −2.20725 | + | 0.705557i | ||||
\(477\) | 1.80870e11 | 0.159968 | ||||||||
\(478\) | 1.36875e12 | + | 2.37074e12i | 1.19921 | + | 2.07710i | ||||
\(479\) | −5.84393e11 | + | 1.01220e12i | −0.507218 | + | 0.878528i | 0.492747 | + | 0.870173i | \(0.335993\pi\) |
−0.999965 | + | 0.00835516i | \(0.997340\pi\) | |||||||
\(480\) | 1.20525e11 | − | 2.08755e11i | 0.103631 | − | 0.179495i | ||||
\(481\) | −2.62646e11 | − | 4.54917e11i | −0.223727 | − | 0.387507i | ||||
\(482\) | 6.61554e11 | 0.558282 | ||||||||
\(483\) | 1.45887e11 | − | 6.70603e11i | 0.121971 | − | 0.560665i | ||||
\(484\) | −1.69439e12 | −1.40349 | ||||||||
\(485\) | −1.88088e11 | − | 3.25778e11i | −0.154356 | − | 0.267352i | ||||
\(486\) | 3.33596e11 | − | 5.77805e11i | 0.271243 | − | 0.469806i | ||||
\(487\) | −2.48179e11 | + | 4.29859e11i | −0.199933 | + | 0.346295i | −0.948507 | − | 0.316757i | \(-0.897406\pi\) |
0.748573 | + | 0.663052i | \(0.230739\pi\) | |||||||
\(488\) | 9.70369e11 | + | 1.68073e12i | 0.774547 | + | 1.34155i | ||||
\(489\) | −8.01241e10 | −0.0633685 | ||||||||
\(490\) | −4.10041e11 | + | 2.91977e11i | −0.321326 | + | 0.228806i | ||||
\(491\) | −2.53907e11 | −0.197155 | −0.0985774 | − | 0.995129i | \(-0.531429\pi\) | ||||
−0.0985774 | + | 0.995129i | \(0.531429\pi\) | |||||||
\(492\) | −3.58343e11 | − | 6.20669e11i | −0.275713 | − | 0.477548i | ||||
\(493\) | −1.15658e12 | + | 2.00326e12i | −0.881792 | + | 1.52731i | ||||
\(494\) | −4.12767e10 | + | 7.14933e10i | −0.0311841 | + | 0.0540125i | ||||
\(495\) | −1.05561e10 | − | 1.82837e10i | −0.00790277 | − | 0.0136880i | ||||
\(496\) | 1.64172e11 | 0.121796 | ||||||||
\(497\) | −2.92914e11 | + | 1.34644e12i | −0.215346 | + | 0.989883i | ||||
\(498\) | −1.21612e12 | −0.886024 | ||||||||
\(499\) | −1.04699e12 | − | 1.81344e12i | −0.755944 | − | 1.30933i | −0.944904 | − | 0.327349i | \(-0.893845\pi\) |
0.188960 | − | 0.981985i | \(-0.439488\pi\) | |||||||
\(500\) | −5.42596e11 | + | 9.39805e11i | −0.388250 | + | 0.672470i | ||||
\(501\) | 5.15450e11 | − | 8.92786e11i | 0.365525 | − | 0.633108i | ||||
\(502\) | −8.48156e11 | − | 1.46905e12i | −0.596086 | − | 1.03245i | ||||
\(503\) | −8.10907e11 | −0.564827 | −0.282413 | − | 0.959293i | \(-0.591135\pi\) | ||||
−0.282413 | + | 0.959293i | \(0.591135\pi\) | |||||||
\(504\) | 2.46424e11 | − | 7.87707e10i | 0.170116 | − | 0.0543785i | ||||
\(505\) | −6.43047e10 | −0.0439979 | ||||||||
\(506\) | 2.92467e11 | + | 5.06568e11i | 0.198335 | + | 0.343526i | ||||
\(507\) | 5.21788e10 | − | 9.03764e10i | 0.0350718 | − | 0.0607462i | ||||
\(508\) | −6.45784e11 | + | 1.11853e12i | −0.430230 | + | 0.745180i | ||||
\(509\) | −1.06030e12 | − | 1.83650e12i | −0.700165 | − | 1.21272i | −0.968408 | − | 0.249370i | \(-0.919777\pi\) |
0.268244 | − | 0.963351i | \(-0.413557\pi\) | |||||||
\(510\) | 7.71326e11 | 0.504861 | ||||||||
\(511\) | −1.67285e12 | − | 1.52075e12i | −1.08533 | − | 0.986649i | ||||
\(512\) | −2.32338e11 | −0.149419 | ||||||||
\(513\) | 1.15422e11 | + | 1.99917e11i | 0.0735802 | + | 0.127445i | ||||
\(514\) | 1.45831e12 | − | 2.52586e12i | 0.921541 | − | 1.59616i | ||||
\(515\) | 1.70265e11 | − | 2.94908e11i | 0.106658 | − | 0.184737i | ||||
\(516\) | 1.52186e12 | + | 2.63594e12i | 0.945042 | + | 1.63686i | ||||
\(517\) | 4.23631e11 | 0.260784 | ||||||||
\(518\) | −3.18499e12 | − | 2.89540e12i | −1.94368 | − | 1.76695i | ||||
\(519\) | 1.97543e12 | 1.19511 | ||||||||
\(520\) | −5.93740e10 | − | 1.02839e11i | −0.0356107 | − | 0.0616796i | ||||
\(521\) | −9.39331e11 | + | 1.62697e12i | −0.558533 | + | 0.967408i | 0.439086 | + | 0.898445i | \(0.355302\pi\) |
−0.997619 | + | 0.0689628i | \(0.978031\pi\) | |||||||
\(522\) | 2.92380e11 | − | 5.06417e11i | 0.172358 | − | 0.298532i | ||||
\(523\) | 7.82516e11 | + | 1.35536e12i | 0.457336 | + | 0.792130i | 0.998819 | − | 0.0485821i | \(-0.0154703\pi\) |
−0.541483 | + | 0.840712i | \(0.682137\pi\) | |||||||
\(524\) | −3.09984e11 | −0.179618 | ||||||||
\(525\) | −1.42316e12 | + | 4.54919e11i | −0.817590 | + | 0.261347i | ||||
\(526\) | 5.42116e12 | 3.08785 | ||||||||
\(527\) | −2.02394e12 | − | 3.50556e12i | −1.14301 | − | 1.97975i | ||||
\(528\) | 2.35750e10 | − | 4.08332e10i | 0.0132008 | − | 0.0228644i | ||||
\(529\) | 5.44006e11 | − | 9.42246e11i | 0.302032 | − | 0.523135i | ||||
\(530\) | −3.40142e11 | − | 5.89144e11i | −0.187249 | − | 0.324325i | ||||
\(531\) | −5.43612e11 | −0.296731 | ||||||||
\(532\) | −8.95549e10 | + | 4.11659e11i | −0.0484715 | + | 0.222810i | ||||
\(533\) | 1.89283e11 | 0.101587 | ||||||||
\(534\) | −1.46938e12 | − | 2.54504e12i | −0.781985 | − | 1.35444i | ||||
\(535\) | −1.65908e11 | + | 2.87362e11i | −0.0875541 | + | 0.151648i | ||||
\(536\) | −1.52692e10 | + | 2.64470e10i | −0.00799050 | + | 0.0138399i | ||||
\(537\) | −4.32230e11 | − | 7.48645e11i | −0.224301 | − | 0.388500i | ||||
\(538\) | 3.71089e12 | 1.90967 | ||||||||
\(539\) | 6.18016e11 | − | 4.40070e11i | 0.315392 | − | 0.224581i | ||||
\(540\) | −8.42131e11 | −0.426195 | ||||||||
\(541\) | 1.67455e12 | + | 2.90041e12i | 0.840449 | + | 1.45570i | 0.889516 | + | 0.456905i | \(0.151042\pi\) |
−0.0490668 | + | 0.998795i | \(0.515625\pi\) | |||||||
\(542\) | −7.00299e11 | + | 1.21295e12i | −0.348568 | + | 0.603737i | ||||
\(543\) | 1.50420e11 | − | 2.60535e11i | 0.0742517 | − | 0.128608i | ||||
\(544\) | 1.34488e12 | + | 2.32940e12i | 0.658397 | + | 1.14038i | ||||
\(545\) | −5.42596e11 | −0.263446 | ||||||||
\(546\) | 1.81778e11 | − | 8.35584e11i | 0.0875337 | − | 0.402368i | ||||
\(547\) | −7.42937e11 | −0.354821 | −0.177410 | − | 0.984137i | \(-0.556772\pi\) | ||||
−0.177410 | + | 0.984137i | \(0.556772\pi\) | |||||||
\(548\) | 1.09387e12 | + | 1.89464e12i | 0.518147 | + | 0.897457i | ||||
\(549\) | −2.62082e11 | + | 4.53939e11i | −0.123129 | + | 0.213266i | ||||
\(550\) | 6.36721e11 | − | 1.10283e12i | 0.296700 | − | 0.513899i | ||||
\(551\) | 1.87736e11 | + | 3.25168e11i | 0.0867690 | + | 0.150288i | ||||
\(552\) | 1.32663e12 | 0.608167 | ||||||||
\(553\) | −3.40422e12 | + | 1.08818e12i | −1.54794 | + | 0.494807i | ||||
\(554\) | −1.72458e12 | −0.777840 | ||||||||
\(555\) | 3.98331e11 | + | 6.89930e11i | 0.178208 | + | 0.308664i | ||||
\(556\) | −2.46931e11 | + | 4.27697e11i | −0.109582 | + | 0.189801i | ||||
\(557\) | 5.89369e11 | − | 1.02082e12i | 0.259441 | − | 0.449365i | −0.706651 | − | 0.707562i | \(-0.749795\pi\) |
0.966092 | + | 0.258197i | \(0.0831283\pi\) | |||||||
\(558\) | 5.11644e11 | + | 8.86193e11i | 0.223416 | + | 0.386968i | ||||
\(559\) | −8.03870e11 | −0.348203 | ||||||||
\(560\) | −3.11985e10 | − | 2.83619e10i | −0.0134057 | − | 0.0121868i | ||||
\(561\) | −1.16255e12 | −0.495538 | ||||||||
\(562\) | −1.83080e12 | − | 3.17104e12i | −0.774154 | − | 1.34087i | ||||
\(563\) | −7.81471e11 | + | 1.35355e12i | −0.327812 | + | 0.567787i | −0.982077 | − | 0.188478i | \(-0.939645\pi\) |
0.654265 | + | 0.756265i | \(0.272978\pi\) | |||||||
\(564\) | 1.21834e12 | − | 2.11024e12i | 0.507007 | − | 0.878163i | ||||
\(565\) | 9.91680e9 | + | 1.71764e10i | 0.00409405 | + | 0.00709111i | ||||
\(566\) | 3.19016e12 | 1.30659 | ||||||||
\(567\) | −1.46251e12 | − | 1.32954e12i | −0.594258 | − | 0.540227i | ||||
\(568\) | −2.66361e12 | −1.07375 | ||||||||
\(569\) | 2.69234e11 | + | 4.66326e11i | 0.107677 | + | 0.186503i | 0.914829 | − | 0.403842i | \(-0.132325\pi\) |
−0.807152 | + | 0.590344i | \(0.798992\pi\) | |||||||
\(570\) | 6.26005e10 | − | 1.08427e11i | 0.0248394 | − | 0.0430231i | ||||
\(571\) | −2.20329e11 | + | 3.81620e11i | −0.0867378 | + | 0.150234i | −0.906130 | − | 0.422998i | \(-0.860978\pi\) |
0.819393 | + | 0.573233i | \(0.194311\pi\) | |||||||
\(572\) | 2.26954e11 | + | 3.93096e11i | 0.0886453 | + | 0.153538i | ||||
\(573\) | 2.79676e12 | 1.08383 | ||||||||
\(574\) | 1.47738e12 | − | 4.72251e11i | 0.568052 | − | 0.181581i | ||||
\(575\) | 1.55256e12 | 0.592301 | ||||||||
\(576\) | −3.56624e11 | − | 6.17691e11i | −0.134992 | − | 0.233814i | ||||
\(577\) | −2.61164e11 | + | 4.52349e11i | −0.0980893 | + | 0.169896i | −0.910894 | − | 0.412641i | \(-0.864606\pi\) |
0.812804 | + | 0.582537i | \(0.197940\pi\) | |||||||
\(578\) | −2.11894e12 | + | 3.67011e12i | −0.789665 | + | 1.36774i | ||||
\(579\) | −1.23354e11 | − | 2.13656e11i | −0.0456143 | − | 0.0790063i | ||||
\(580\) | −1.36974e12 | −0.502588 | ||||||||
\(581\) | 3.48428e11 | − | 1.60163e12i | 0.126859 | − | 0.583134i | ||||
\(582\) | 5.23648e12 | 1.89185 | ||||||||
\(583\) | 5.12664e11 | + | 8.87960e11i | 0.183791 | + | 0.318335i | ||||
\(584\) | 2.18509e12 | − | 3.78468e12i | 0.777340 | − | 1.34639i | ||||
\(585\) | 1.60360e10 | − | 2.77752e10i | 0.00566102 | − | 0.00980518i | ||||
\(586\) | 2.34881e12 | + | 4.06826e12i | 0.822828 | + | 1.42518i | ||||
\(587\) | −1.21144e12 | −0.421145 | −0.210573 | − | 0.977578i | \(-0.567533\pi\) | ||||
−0.210573 | + | 0.977578i | \(0.567533\pi\) | |||||||
\(588\) | −4.14733e11 | − | 4.34414e12i | −0.143077 | − | 1.49867i | ||||
\(589\) | −6.57048e11 | −0.224946 | ||||||||
\(590\) | 1.02231e12 | + | 1.77069e12i | 0.347335 | + | 0.601602i | ||||
\(591\) | 5.70026e11 | − | 9.87314e11i | 0.192199 | − | 0.332898i | ||||
\(592\) | 1.80270e11 | − | 3.12236e11i | 0.0603219 | − | 0.104481i | ||||
\(593\) | 7.90491e11 | + | 1.36917e12i | 0.262513 | + | 0.454686i | 0.966909 | − | 0.255121i | \(-0.0821154\pi\) |
−0.704396 | + | 0.709807i | \(0.748782\pi\) | |||||||
\(594\) | 2.03805e12 | 0.671702 | ||||||||
\(595\) | −2.20990e11 | + | 1.01583e12i | −0.0722848 | + | 0.332273i | ||||
\(596\) | −6.58661e12 | −2.13823 | ||||||||
\(597\) | −1.11775e12 | − | 1.93600e12i | −0.360131 | − | 0.623766i | ||||
\(598\) | −4.44294e11 | + | 7.69539e11i | −0.142074 | + | 0.246080i | ||||
\(599\) | −1.74360e12 | + | 3.02000e12i | −0.553382 | + | 0.958486i | 0.444645 | + | 0.895707i | \(0.353330\pi\) |
−0.998027 | + | 0.0627791i | \(0.980004\pi\) | |||||||
\(600\) | −1.44408e12 | − | 2.50122e12i | −0.454895 | − | 0.787901i | ||||
\(601\) | 1.77175e12 | 0.553946 | 0.276973 | − | 0.960878i | \(-0.410669\pi\) | ||||
0.276973 | + | 0.960878i | \(0.410669\pi\) | |||||||
\(602\) | −6.27432e12 | + | 2.00562e12i | −1.94707 | + | 0.622392i | ||||
\(603\) | −8.24794e9 | −0.00254049 | ||||||||
\(604\) | 4.94630e12 | + | 8.56724e12i | 1.51222 | + | 2.61924i | ||||
\(605\) | −3.39343e11 | + | 5.87759e11i | −0.102977 | + | 0.178361i | ||||
\(606\) | 4.47570e11 | − | 7.75214e11i | 0.134814 | − | 0.233504i | ||||
\(607\) | −1.13448e11 | − | 1.96498e11i | −0.0339194 | − | 0.0587501i | 0.848567 | − | 0.529087i | \(-0.177466\pi\) |
−0.882487 | + | 0.470337i | \(0.844132\pi\) | |||||||
\(608\) | 4.36599e11 | 0.129574 | ||||||||
\(609\) | −2.87788e12 | − | 2.61622e12i | −0.847803 | − | 0.770718i | ||||
\(610\) | 1.97147e12 | 0.576509 | ||||||||
\(611\) | 3.21774e11 | + | 5.57330e11i | 0.0934041 | + | 0.161781i | ||||
\(612\) | 6.77519e11 | − | 1.17350e12i | 0.195227 | − | 0.338143i | ||||
\(613\) | 1.59622e11 | − | 2.76473e11i | 0.0456583 | − | 0.0790825i | −0.842293 | − | 0.539020i | \(-0.818795\pi\) |
0.887951 | + | 0.459937i | \(0.152128\pi\) | |||||||
\(614\) | −3.88003e11 | − | 6.72040e11i | −0.110173 | − | 0.190826i | ||||
\(615\) | −2.87067e11 | −0.0809181 | ||||||||
\(616\) | 1.08519e12 | + | 9.86519e11i | 0.303663 | + | 0.276053i | ||||
\(617\) | −4.64815e12 | −1.29121 | −0.645604 | − | 0.763672i | \(-0.723394\pi\) | ||||
−0.645604 | + | 0.763672i | \(0.723394\pi\) | |||||||
\(618\) | 2.37014e12 | + | 4.10519e12i | 0.653619 | + | 1.13210i | ||||
\(619\) | 1.59426e12 | − | 2.76134e12i | 0.436466 | − | 0.755982i | −0.560948 | − | 0.827851i | \(-0.689563\pi\) |
0.997414 | + | 0.0718694i | \(0.0228965\pi\) | |||||||
\(620\) | 1.19847e12 | − | 2.07581e12i | 0.325736 | − | 0.564191i | ||||
\(621\) | 1.24238e12 | + | 2.15186e12i | 0.335229 | + | 0.580634i | ||||
\(622\) | −6.02467e12 | −1.61390 | ||||||||
\(623\) | 3.77279e12 | − | 1.20599e12i | 1.00338 | − | 0.320736i | ||||
\(624\) | 7.16268e10 | 0.0189123 | ||||||||
\(625\) | −1.57806e12 | − | 2.73328e12i | −0.413679 | − | 0.716513i | ||||
\(626\) | 5.58070e12 | − | 9.66606e12i | 1.45246 | − | 2.51574i | ||||
\(627\) | −9.43517e10 | + | 1.63422e11i | −0.0243807 | + | 0.0422286i | ||||
\(628\) | 4.58119e12 | + | 7.93485e12i | 1.17533 | + | 2.03573i | ||||
\(629\) | −8.88957e12 | −2.26440 | ||||||||
\(630\) | 5.58656e10 | − | 2.56798e11i | 0.0141290 | − | 0.0649471i | ||||
\(631\) | −6.16907e11 | −0.154913 | −0.0774565 | − | 0.996996i | \(-0.524680\pi\) | ||||
−0.0774565 | + | 0.996996i | \(0.524680\pi\) | |||||||
\(632\) | −3.45427e12 | − | 5.98298e12i | −0.861251 | − | 1.49173i | ||||
\(633\) | −8.43074e11 | + | 1.46025e12i | −0.208713 | + | 0.361501i | ||||
\(634\) | 3.49219e12 | − | 6.04864e12i | 0.858412 | − | 1.48681i | ||||
\(635\) | 2.58667e11 | + | 4.48025e11i | 0.0631335 | + | 0.109350i | ||||
\(636\) | 5.89760e12 | 1.42928 | ||||||||
\(637\) | 1.04838e12 | + | 4.78802e11i | 0.252284 | + | 0.115220i | ||||
\(638\) | 3.31492e12 | 0.792101 | ||||||||
\(639\) | −3.59701e11 | − | 6.23020e11i | −0.0853469 | − | 0.147825i | ||||
\(640\) | −8.58968e11 | + | 1.48778e12i | −0.202380 | + | 0.350532i | ||||
\(641\) | 4.25872e11 | − | 7.37633e11i | 0.0996365 | − | 0.172575i | −0.811898 | − | 0.583800i | \(-0.801565\pi\) |
0.911534 | + | 0.411224i | \(0.134899\pi\) | |||||||
\(642\) | −2.30949e12 | − | 4.00016e12i | −0.536548 | − | 0.929328i | ||||
\(643\) | −1.86951e12 | −0.431298 | −0.215649 | − | 0.976471i | \(-0.569187\pi\) | ||||
−0.215649 | + | 0.976471i | \(0.569187\pi\) | |||||||
\(644\) | −9.63950e11 | + | 4.43101e12i | −0.220835 | + | 1.01512i | ||||
\(645\) | 1.21915e12 | 0.277358 | ||||||||
\(646\) | 6.98528e11 | + | 1.20989e12i | 0.157811 | + | 0.273337i | ||||
\(647\) | −3.95878e12 | + | 6.85680e12i | −0.888161 | + | 1.53834i | −0.0461145 | + | 0.998936i | \(0.514684\pi\) |
−0.842047 | + | 0.539404i | \(0.818649\pi\) | |||||||
\(648\) | 1.91035e12 | − | 3.30882e12i | 0.425623 | − | 0.737200i | ||||
\(649\) | −1.54083e12 | − | 2.66879e12i | −0.340921 | − | 0.590492i | ||||
\(650\) | 1.93452e12 | 0.425072 | ||||||||
\(651\) | 6.48287e12 | − | 2.07228e12i | 1.41466 | − | 0.452204i | ||||
\(652\) | 5.29420e11 | 0.114732 | ||||||||
\(653\) | −3.33179e12 | − | 5.77082e12i | −0.717080 | − | 1.24202i | −0.962152 | − | 0.272514i | \(-0.912145\pi\) |
0.245072 | − | 0.969505i | \(-0.421189\pi\) | |||||||
\(654\) | 3.77654e12 | − | 6.54116e12i | 0.807225 | − | 1.39815i | ||||
\(655\) | −6.20817e10 | + | 1.07529e11i | −0.0131789 | + | 0.0228265i | ||||
\(656\) | 6.49579e10 | + | 1.12510e11i | 0.0136951 | + | 0.0237206i | ||||
\(657\) | 1.18032e12 | 0.247147 | ||||||||
\(658\) | 3.90201e12 | + | 3.54723e12i | 0.811468 | + | 0.737687i | ||||
\(659\) | 4.91700e12 | 1.01558 | 0.507792 | − | 0.861480i | \(-0.330462\pi\) | ||||
0.507792 | + | 0.861480i | \(0.330462\pi\) | |||||||
\(660\) | −3.44200e11 | − | 5.96172e11i | −0.0706095 | − | 0.122299i | ||||
\(661\) | 1.84971e12 | − | 3.20378e12i | 0.376874 | − | 0.652765i | −0.613732 | − | 0.789515i | \(-0.710332\pi\) |
0.990606 | + | 0.136750i | \(0.0436657\pi\) | |||||||
\(662\) | 5.78198e12 | − | 1.00147e13i | 1.17008 | − | 2.02664i | ||||
\(663\) | −8.83026e11 | − | 1.52945e12i | −0.177485 | − | 0.307414i | ||||
\(664\) | 3.16844e12 | 0.632541 | ||||||||
\(665\) | 1.24862e11 | + | 1.13510e11i | 0.0247591 | + | 0.0225079i | ||||
\(666\) | 2.24725e12 | 0.442606 | ||||||||
\(667\) | 2.02075e12 | + | 3.50004e12i | 0.395317 | + | 0.684710i | ||||
\(668\) | −3.40584e12 | + | 5.89908e12i | −0.661805 | + | 1.14628i | ||||
\(669\) | −2.31627e12 | + | 4.01190e12i | −0.447066 | + | 0.774341i | ||||
\(670\) | 1.55110e10 | + | 2.68658e10i | 0.00297374 | + | 0.00515067i | ||||
\(671\) | −2.97141e12 | −0.565863 | ||||||||
\(672\) | −4.30778e12 | + | 1.37700e12i | −0.814876 | + | 0.260479i | ||||
\(673\) | −4.23497e12 | −0.795762 | −0.397881 | − | 0.917437i | \(-0.630254\pi\) | ||||
−0.397881 | + | 0.917437i | \(0.630254\pi\) | |||||||
\(674\) | 1.43188e12 | + | 2.48008e12i | 0.267261 | + | 0.462910i | ||||
\(675\) | 2.70475e12 | − | 4.68476e12i | 0.501487 | − | 0.868601i | ||||
\(676\) | −3.44772e11 | + | 5.97162e11i | −0.0634996 | + | 0.109985i | ||||
\(677\) | −3.70900e12 | − | 6.42418e12i | −0.678591 | − | 1.17535i | −0.975405 | − | 0.220419i | \(-0.929258\pi\) |
0.296814 | − | 0.954935i | \(-0.404076\pi\) | |||||||
\(678\) | −2.76089e11 | −0.0501783 | ||||||||
\(679\) | −1.50029e12 | + | 6.89641e12i | −0.270870 | + | 1.24511i | ||||
\(680\) | −2.00958e12 | −0.360425 | ||||||||
\(681\) | 2.55695e12 | + | 4.42876e12i | 0.455575 | + | 0.789078i | ||||
\(682\) | −2.90044e12 | + | 5.02371e12i | −0.513374 | + | 0.889190i | ||||
\(683\) | 4.88145e12 | − | 8.45491e12i | 0.858332 | − | 1.48667i | −0.0151870 | − | 0.999885i | \(-0.504834\pi\) |
0.873519 | − | 0.486790i | \(-0.161832\pi\) | |||||||
\(684\) | −1.09974e11 | − | 1.90481e11i | −0.0192105 | − | 0.0332736i | ||||
\(685\) | 8.76294e11 | 0.152069 | ||||||||
\(686\) | 9.37732e12 | + | 1.12146e12i | 1.61667 | + | 0.193342i | ||||
\(687\) | 3.74056e12 | 0.640666 | ||||||||
\(688\) | −2.75872e11 | − | 4.77824e11i | −0.0469418 | − | 0.0813055i | ||||
\(689\) | −7.78801e11 | + | 1.34892e12i | −0.131656 | + | 0.228034i | ||||
\(690\) | 6.73819e11 | − | 1.16709e12i | 0.113168 | − | 0.196012i | ||||
\(691\) | −3.48052e12 | − | 6.02844e12i | −0.580755 | − | 1.00590i | −0.995390 | − | 0.0959096i | \(-0.969424\pi\) |
0.414635 | − | 0.909988i | \(-0.363909\pi\) | |||||||
\(692\) | −1.30527e13 | −2.16382 | ||||||||
\(693\) | −8.42009e10 | + | 3.87048e11i | −0.0138681 | + | 0.0637477i | ||||
\(694\) | −1.57789e13 | −2.58203 | ||||||||
\(695\) | 9.89075e10 | + | 1.71313e11i | 0.0160804 | + | 0.0278521i | ||||
\(696\) | 3.75912e12 | − | 6.51098e12i | 0.607218 | − | 1.05173i | ||||
\(697\) | 1.60162e12 | − | 2.77409e12i | 0.257047 | − | 0.445218i | ||||
\(698\) | 2.06529e12 | + | 3.57719e12i | 0.329330 | + | 0.570416i | ||||
\(699\) | 1.94838e12 | 0.308693 | ||||||||
\(700\) | 9.40350e12 | − | 3.00588e12i | 1.48030 | − | 0.473184i | ||||
\(701\) | −2.11100e10 | −0.00330185 | −0.00165093 | − | 0.999999i | \(-0.500526\pi\) | ||||
−0.00165093 | + | 0.999999i | \(0.500526\pi\) | |||||||
\(702\) | 1.54803e12 | + | 2.68126e12i | 0.240581 | + | 0.416699i | ||||
\(703\) | −7.21474e11 | + | 1.24963e12i | −0.111409 | + | 0.192967i | ||||
\(704\) | 2.02165e12 | − | 3.50160e12i | 0.310191 | − | 0.537267i | ||||
\(705\) | −4.88005e11 | − | 8.45250e11i | −0.0744001 | − | 0.128865i | ||||
\(706\) | 2.19517e12 | 0.332543 | ||||||||
\(707\) | 8.92719e11 | + | 8.11551e11i | 0.134378 | + | 0.122160i | ||||
\(708\) | −1.77254e13 | −2.65123 | ||||||||
\(709\) | −2.09578e12 | − | 3.63000e12i | −0.311485 | − | 0.539508i | 0.667199 | − | 0.744880i | \(-0.267493\pi\) |
−0.978684 | + | 0.205371i | \(0.934160\pi\) | |||||||
\(710\) | −1.35290e12 | + | 2.34329e12i | −0.199803 | + | 0.346069i | ||||
\(711\) | 9.32947e11 | − | 1.61591e12i | 0.136913 | − | 0.237140i | ||||
\(712\) | 3.82826e12 | + | 6.63074e12i | 0.558266 | + | 0.966946i | ||||
\(713\) | −7.07233e12 | −1.02485 | ||||||||
\(714\) | −1.07080e13 | − | 9.73443e12i | −1.54194 | − | 1.40174i | ||||
\(715\) | 1.81812e11 | 0.0260163 | ||||||||
\(716\) | 2.85596e12 | + | 4.94667e12i | 0.406110 | + | 0.703403i | ||||
\(717\) | −4.75292e12 | + | 8.23231e12i | −0.671622 | + | 1.16328i | ||||
\(718\) | −3.66448e12 | + | 6.34706e12i | −0.514579 | + | 0.891277i | ||||
\(719\) | −5.18431e12 | − | 8.97949e12i | −0.723454 | − | 1.25306i | −0.959607 | − | 0.281344i | \(-0.909220\pi\) |
0.236153 | − | 0.971716i | \(-0.424114\pi\) | |||||||
\(720\) | 2.20129e10 | 0.00305268 | ||||||||
\(721\) | −6.08557e12 | + | 1.94528e12i | −0.838673 | + | 0.268086i | ||||
\(722\) | −1.16616e13 | −1.59713 | ||||||||
\(723\) | 1.14861e12 | + | 1.98945e12i | 0.156333 | + | 0.270777i | ||||
\(724\) | −9.93901e11 | + | 1.72149e12i | −0.134437 | + | 0.232852i | ||||
\(725\) | 4.39931e12 | − | 7.61983e12i | 0.591376 | − | 1.02429i | ||||
\(726\) | −4.72375e12 | − | 8.18177e12i | −0.631062 | − | 1.09303i | ||||
\(727\) | 5.48219e12 | 0.727862 | 0.363931 | − | 0.931426i | \(-0.381434\pi\) | ||||
0.363931 | + | 0.931426i | \(0.381434\pi\) | |||||||
\(728\) | −4.73598e11 | + | 2.17700e12i | −0.0624911 | + | 0.287254i | ||||
\(729\) | 8.44101e12 | 1.10693 | ||||||||
\(730\) | −2.21969e12 | − | 3.84462e12i | −0.289294 | − | 0.501073i | ||||
\(731\) | −6.80198e12 | + | 1.17814e13i | −0.881063 | + | 1.52605i | ||||
\(732\) | −8.54565e12 | + | 1.48015e13i | −1.10013 | + | 1.90549i | ||||
\(733\) | 6.37902e11 | + | 1.10488e12i | 0.0816181 | + | 0.141367i | 0.903945 | − | 0.427649i | \(-0.140658\pi\) |
−0.822327 | + | 0.569015i | \(0.807325\pi\) | |||||||
\(734\) | −1.69769e13 | −2.15887 | ||||||||
\(735\) | −1.58998e12 | − | 7.26154e11i | −0.200954 | − | 0.0917774i | ||||
\(736\) | 4.69946e12 | 0.590334 | ||||||||
\(737\) | −2.33782e10 | − | 4.04923e10i | −0.00291882 | − | 0.00505555i | ||||
\(738\) | −4.04884e11 | + | 7.01280e11i | −0.0502432 | + | 0.0870237i | ||||
\(739\) | −2.84625e12 | + | 4.92985e12i | −0.351053 | + | 0.608042i | −0.986434 | − | 0.164156i | \(-0.947510\pi\) |
0.635381 | + | 0.772199i | \(0.280843\pi\) | |||||||
\(740\) | −2.63197e12 | − | 4.55871e12i | −0.322655 | − | 0.558855i | ||||
\(741\) | −2.86664e11 | −0.0349294 | ||||||||
\(742\) | −2.71315e12 | + | 1.24716e13i | −0.328592 | + | 1.51044i | ||||
\(743\) | 2.28617e12 | 0.275207 | 0.137603 | − | 0.990487i | \(-0.456060\pi\) | ||||
0.137603 | + | 0.990487i | \(0.456060\pi\) | |||||||
\(744\) | 6.57818e12 | + | 1.13937e13i | 0.787096 | + | 1.36329i | ||||
\(745\) | −1.31913e12 | + | 2.28479e12i | −0.156886 | + | 0.271734i | ||||
\(746\) | 6.79101e12 | − | 1.17624e13i | 0.802804 | − | 1.39050i | ||||
\(747\) | 4.27873e11 | + | 7.41098e11i | 0.0502774 | + | 0.0870830i | ||||
\(748\) | 7.68152e12 | 0.897201 | ||||||||
\(749\) | 5.92986e12 | − | 1.89551e12i | 0.688457 | − | 0.220069i | ||||
\(750\) | −6.05075e12 | −0.698286 | ||||||||
\(751\) | −6.09137e11 | − | 1.05506e12i | −0.0698771 | − | 0.121031i | 0.828970 | − | 0.559293i | \(-0.188927\pi\) |
−0.898847 | + | 0.438262i | \(0.855594\pi\) | |||||||
\(752\) | −2.20853e11 | + | 3.82528e11i | −0.0251839 | + | 0.0436198i | ||||
\(753\) | 2.94520e12 | − | 5.10123e12i | 0.333839 | − | 0.578226i | ||||
\(754\) | 2.51789e12 | + | 4.36112e12i | 0.283704 | + | 0.491390i | ||||
\(755\) | 3.96246e12 | 0.443816 | ||||||||
\(756\) | 1.16910e13 | + | 1.06280e13i | 1.30168 | + | 1.18333i | ||||
\(757\) | −9.96935e12 | −1.10341 | −0.551703 | − | 0.834041i | \(-0.686022\pi\) | ||||
−0.551703 | + | 0.834041i | \(0.686022\pi\) | |||||||
\(758\) | 1.42162e13 | + | 2.46233e13i | 1.56413 | + | 2.70916i | ||||
\(759\) | −1.01558e12 | + | 1.75904e12i | −0.111078 | + | 0.192392i | ||||
\(760\) | −1.63097e11 | + | 2.82492e11i | −0.0177331 | + | 0.0307146i | ||||
\(761\) | 1.50350e12 | + | 2.60414e12i | 0.162507 | + | 0.281471i | 0.935767 | − | 0.352618i | \(-0.114709\pi\) |
−0.773260 | + | 0.634089i | \(0.781375\pi\) | |||||||
\(762\) | −7.20144e12 | −0.773788 | ||||||||
\(763\) | 7.53266e12 | + | 6.84777e12i | 0.804615 | + | 0.731457i | ||||
\(764\) | −1.84796e13 | −1.96233 | ||||||||
\(765\) | −2.71379e11 | − | 4.70041e11i | −0.0286483 | − | 0.0496203i | ||||
\(766\) | 3.14365e12 | − | 5.44497e12i | 0.329917 | − | 0.571434i | ||||
\(767\) | 2.34071e12 | − | 4.05423e12i | 0.244213 | − | 0.422989i | ||||
\(768\) | −4.91381e12 | − | 8.51097e12i | −0.509674 | − | 0.882782i | ||||
\(769\) | 6.61888e12 | 0.682521 | 0.341260 | − | 0.939969i | \(-0.389146\pi\) | ||||
0.341260 | + | 0.939969i | \(0.389146\pi\) | |||||||
\(770\) | 1.41907e12 | − | 4.53612e11i | 0.145477 | − | 0.0465025i | ||||
\(771\) | 1.01278e13 | 1.03222 | ||||||||
\(772\) | 8.15064e11 | + | 1.41173e12i | 0.0825874 | + | 0.143046i | ||||
\(773\) | 4.74648e11 | − | 8.22115e11i | 0.0478150 | − | 0.0828180i | −0.841127 | − | 0.540837i | \(-0.818108\pi\) |
0.888942 | + | 0.458019i | \(0.151441\pi\) | |||||||
\(774\) | 1.71952e12 | − | 2.97829e12i | 0.172215 | − | 0.298286i | ||||
\(775\) | 7.69847e12 | + | 1.33341e13i | 0.766561 | + | 1.32772i | ||||
\(776\) | −1.36429e13 | −1.35061 | ||||||||
\(777\) | 3.17730e12 | − | 1.46051e13i | 0.312726 | − | 1.43751i | ||||
\(778\) | 2.18432e13 | 2.13751 | ||||||||
\(779\) | −2.59974e11 | − | 4.50288e11i | −0.0252936 | − | 0.0438099i | ||||
\(780\) | 5.22883e11 | − | 9.05659e11i | 0.0505800 | − | 0.0876071i | ||||
\(781\) | 2.03909e12 | − | 3.53182e12i | 0.196114 | − | 0.339679i | ||||
\(782\) | 7.51881e12 | + | 1.30230e13i | 0.718983 | + | 1.24532i | ||||
\(783\) | 1.40816e13 | 1.33882 | ||||||||
\(784\) | 7.51798e10 | + | 7.87475e11i | 0.00710688 | + | 0.0744414i | ||||
\(785\) | 3.66997e12 | 0.344944 | ||||||||
\(786\) | −8.64195e11 | − | 1.49683e12i | −0.0807626 | − | 0.139885i | ||||
\(787\) | −2.45288e12 | + | 4.24851e12i | −0.227924 | + | 0.394776i | −0.957193 | − | 0.289452i | \(-0.906527\pi\) |
0.729269 | + | 0.684227i | \(0.239860\pi\) | |||||||
\(788\) | −3.76645e12 | + | 6.52368e12i | −0.347988 | + | 0.602733i | ||||
\(789\) | 9.41241e12 | + | 1.63028e13i | 0.864678 | + | 1.49767i | ||||
\(790\) | −7.01795e12 | −0.641045 | ||||||||
\(791\) | 7.91015e10 | − | 3.63608e11i | 0.00718440 | − | 0.0330247i | ||||
\(792\) | −7.65681e11 | −0.0691488 | ||||||||
\(793\) | −2.25697e12 | − | 3.90919e12i | −0.202673 | − | 0.351041i | ||||
\(794\) | 7.34121e11 | − | 1.27153e12i | 0.0655504 | − | 0.113537i | ||||
\(795\) | 1.18113e12 | − | 2.04578e12i | 0.104869 | − | 0.181638i | ||||
\(796\) | 7.38554e12 | + | 1.27921e13i | 0.652039 | + | 1.12936i | ||||
\(797\) | −1.63601e13 | −1.43623 | −0.718115 | − | 0.695925i | \(-0.754995\pi\) | ||||
−0.718115 | + | 0.695925i | \(0.754995\pi\) | |||||||
\(798\) | −2.23745e12 | + | 7.15213e11i | −0.195317 | + | 0.0624342i | ||||
\(799\) | 1.08908e13 | 0.945366 | ||||||||
\(800\) | −5.11553e12 | − | 8.86036e12i | −0.441556 | − | 0.764797i | ||||
\(801\) | −1.03396e12 | + | 1.79086e12i | −0.0887474 | + | 0.153715i | ||||
\(802\) | 2.49061e12 | − | 4.31386e12i | 0.212579 | − | 0.368198i | ||||
\(803\) | 3.34553e12 | + | 5.79463e12i | 0.283952 | + | 0.491820i | ||||
\(804\) | −2.68939e11 | −0.0226987 | ||||||||
\(805\) | 1.34399e12 | + | 1.22179e12i | 0.112802 | + | 0.102545i | ||||
\(806\) | −8.81226e12 | −0.735494 | ||||||||
\(807\) | 6.44297e12 | + | 1.11595e13i | 0.534755 | + | 0.926223i | ||||
\(808\) | −1.16608e12 | + | 2.01971e12i | −0.0962448 | + | 0.166701i | ||||
\(809\) | −5.43773e11 | + | 9.41842e11i | −0.0446323 | + | 0.0773054i | −0.887479 | − | 0.460849i | \(-0.847545\pi\) |
0.842846 | + | 0.538154i | \(0.180878\pi\) | |||||||
\(810\) | −1.94060e12 | − | 3.36122e12i | −0.158399 | − | 0.274356i | ||||
\(811\) | 7.80330e12 | 0.633409 | 0.316705 | − | 0.948524i | \(-0.397424\pi\) | ||||
0.316705 | + | 0.948524i | \(0.397424\pi\) | |||||||
\(812\) | 1.90156e13 | + | 1.72866e13i | 1.53500 | + | 1.39543i | ||||
\(813\) | −4.86354e12 | −0.390431 | ||||||||
\(814\) | 6.36967e12 | + | 1.10326e13i | 0.508519 | + | 0.880781i | ||||
\(815\) | 1.06029e11 | − | 1.83648e11i | 0.00841813 | − | 0.0145806i | ||||
\(816\) | 6.06073e11 | − | 1.04975e12i | 0.0478541 | − | 0.0828857i | ||||
\(817\) | 1.10409e12 | + | 1.91234e12i | 0.0866973 | + | 0.150164i | ||||
\(818\) | −2.58959e13 | −2.02228 | ||||||||
\(819\) | −5.73156e11 | + | 1.83212e11i | −0.0445138 | + | 0.0142291i | ||||
\(820\) | 1.89680e12 | 0.146507 | ||||||||
\(821\) | 5.83034e12 | + | 1.00984e13i | 0.447867 | + | 0.775729i | 0.998247 | − | 0.0591854i | \(-0.0188503\pi\) |
−0.550380 | + | 0.834915i | \(0.685517\pi\) | |||||||
\(822\) | −6.09912e12 | + | 1.05640e13i | −0.465955 | + | 0.807058i | ||||
\(823\) | 8.99614e12 | − | 1.55818e13i | 0.683529 | − | 1.18391i | −0.290367 | − | 0.956915i | \(-0.593777\pi\) |
0.973897 | − | 0.226992i | \(-0.0728892\pi\) | |||||||
\(824\) | −6.17505e12 | − | 1.06955e13i | −0.466625 | − | 0.808218i | ||||
\(825\) | 4.42199e12 | 0.332334 | ||||||||
\(826\) | 8.15447e12 | − | 3.74838e13i | 0.609517 | − | 2.80178i | ||||
\(827\) | 2.57775e13 | 1.91631 | 0.958157 | − | 0.286243i | \(-0.0924065\pi\) | ||||
0.958157 | + | 0.286243i | \(0.0924065\pi\) | |||||||
\(828\) | −1.18374e12 | − | 2.05030e12i | −0.0875226 | − | 0.151594i | ||||
\(829\) | −7.39126e12 | + | 1.28020e13i | −0.543530 | + | 0.941421i | 0.455168 | + | 0.890406i | \(0.349579\pi\) |
−0.998698 | + | 0.0510157i | \(0.983754\pi\) | |||||||
\(830\) | 1.60931e12 | − | 2.78740e12i | 0.117703 | − | 0.203868i | ||||
\(831\) | −2.99428e12 | − | 5.18624e12i | −0.217815 | − | 0.377267i | ||||
\(832\) | 6.14228e12 | 0.444401 | ||||||||
\(833\) | 1.58881e13 | − | 1.13134e13i | 1.14333 | − | 0.814126i | ||||
\(834\) | −2.75364e12 | −0.197088 | ||||||||
\(835\) | 1.36420e12 | + | 2.36286e12i | 0.0971156 | + | 0.168209i | ||||
\(836\) | 6.23429e11 | − | 1.07981e12i | 0.0441427 | − | 0.0764574i | ||||
\(837\) | −1.23209e13 | + | 2.13404e13i | −0.867714 | + | 1.50292i | ||||
\(838\) | −1.51141e13 | − | 2.61785e13i | −1.05873 | − | 1.83378i | ||||
\(839\) | 1.40206e13 | 0.976871 | 0.488436 | − | 0.872600i | \(-0.337568\pi\) | ||||
0.488436 | + | 0.872600i | \(0.337568\pi\) | |||||||
\(840\) | 7.18261e11 | − | 3.30164e12i | 0.0497766 | − | 0.228809i | ||||
\(841\) | 8.39674e12 | 0.578800 | ||||||||
\(842\) | −7.64857e12 | − | 1.32477e13i | −0.524416 | − | 0.908315i | ||||
\(843\) | 6.35739e12 | − | 1.10113e13i | 0.433566 | − | 0.750958i | ||||
\(844\) | 5.57061e12 | − | 9.64858e12i | 0.377887 | − | 0.654519i | ||||
\(845\) | 1.38097e11 | + | 2.39192e11i | 0.00931816 | + | 0.0161395i | ||||
\(846\) | −2.75316e12 | −0.184784 | ||||||||
\(847\) | 1.21287e13 | − | 3.87701e12i | 0.809729 | − | 0.258834i | ||||
\(848\) | −1.06907e12 | −0.0709948 | ||||||||
\(849\) | 5.53887e12 | + | 9.59360e12i | 0.365878 | + | 0.633720i | ||||
\(850\) | 1.63690e13 | − | 2.83519e13i | 1.07556 | − | 1.86293i | ||||
\(851\) | −7.76579e12 | + | 1.34507e13i | −0.507578 | + | 0.879151i | ||||
\(852\) | −1.17287e13 | − | 2.03147e13i | −0.762555 | − | 1.32078i | ||||
\(853\) | −2.63733e13 | −1.70567 | −0.852834 | − | 0.522183i | \(-0.825118\pi\) | ||||
−0.852834 | + | 0.522183i | \(0.825118\pi\) | |||||||
\(854\) | −2.73692e13 | − | 2.48807e13i | −1.76077 | − | 1.60067i | ||||
\(855\) | −8.80999e10 | −0.00563804 | ||||||||
\(856\) | 6.01705e12 | + | 1.04218e13i | 0.383047 | + | 0.663456i | ||||
\(857\) | −1.04300e13 | + | 1.80654e13i | −0.660500 | + | 1.14402i | 0.319985 | + | 0.947423i | \(0.396322\pi\) |
−0.980485 | + | 0.196596i | \(0.937011\pi\) | |||||||
\(858\) | −1.26544e12 | + | 2.19180e12i | −0.0797163 | + | 0.138073i | ||||
\(859\) | −9.12721e12 | − | 1.58088e13i | −0.571964 | − | 0.990671i | −0.996364 | − | 0.0851960i | \(-0.972848\pi\) |
0.424400 | − | 0.905475i | \(-0.360485\pi\) | |||||||
\(860\) | −8.05557e12 | −0.502173 | ||||||||
\(861\) | 3.98525e12 | + | 3.62290e12i | 0.247139 | + | 0.224669i | ||||
\(862\) | −1.76109e13 | −1.08642 | ||||||||
\(863\) | −7.35083e12 | − | 1.27320e13i | −0.451115 | − | 0.781355i | 0.547340 | − | 0.836910i | \(-0.315640\pi\) |
−0.998456 | + | 0.0555555i | \(0.982307\pi\) | |||||||
\(864\) | 8.18704e12 | − | 1.41804e13i | 0.499822 | − | 0.865717i | ||||
\(865\) | −2.61411e12 | + | 4.52777e12i | −0.158764 | + | 0.274987i | ||||
\(866\) | −3.38397e12 | − | 5.86121e12i | −0.204454 | − | 0.354125i | ||||
\(867\) | −1.47159e13 | −0.884505 | ||||||||
\(868\) | −4.28355e13 | + | 1.36926e13i | −2.56133 | + | 0.818742i | ||||
\(869\) | 1.05775e13 | 0.629207 | ||||||||
\(870\) | −3.81865e12 | − | 6.61410e12i | −0.225982 | − | 0.391412i | ||||
\(871\) | 3.55144e10 | − | 6.15128e10i | 0.00209085 | − | 0.00362146i | ||||
\(872\) | −9.83924e12 | + | 1.70421e13i | −0.576285 | + | 0.998155i | ||||
\(873\) | −1.84237e12 | − | 3.19108e12i | −0.107353 | − | 0.185940i | ||||
\(874\) | 2.44089e12 | 0.141497 | ||||||||
\(875\) | 1.73358e12 | − | 7.96879e12i | 0.0999789 | − | 0.459575i | ||||
\(876\) | 3.84864e13 | 2.20820 | ||||||||
\(877\) | −1.51750e13 | − | 2.62839e13i | −0.866226 | − | 1.50035i | −0.865825 | − | 0.500348i | \(-0.833206\pi\) |
−0.000401560 | − | 1.00000i | \(-0.500128\pi\) | |||||||
\(878\) | 1.05023e13 | − | 1.81906e13i | 0.596431 | − | 1.03305i | ||||
\(879\) | −8.15618e12 | + | 1.41269e13i | −0.460826 | + | 0.798174i | ||||
\(880\) | 6.23941e10 | + | 1.08070e11i | 0.00350729 | + | 0.00607480i | ||||
\(881\) | −8.62979e12 | −0.482624 | −0.241312 | − | 0.970448i | \(-0.577578\pi\) | ||||
−0.241312 | + | 0.970448i | \(0.577578\pi\) | |||||||
\(882\) | −4.01646e12 | + | 2.85999e12i | −0.223478 | + | 0.159132i | ||||
\(883\) | −2.27112e13 | −1.25724 | −0.628619 | − | 0.777714i | \(-0.716379\pi\) | ||||
−0.628619 | + | 0.777714i | \(0.716379\pi\) | |||||||
\(884\) | 5.83459e12 | + | 1.01058e13i | 0.321348 | + | 0.556591i | ||||
\(885\) | −3.54994e12 | + | 6.14867e12i | −0.194525 | + | 0.336928i | ||||
\(886\) | −1.77366e13 | + | 3.07207e13i | −0.966982 | + | 1.67486i | ||||
\(887\) | 1.00933e13 | + | 1.74821e13i | 0.547490 | + | 0.948280i | 0.998446 | + | 0.0557337i | \(0.0177498\pi\) |
−0.450956 | + | 0.892546i | \(0.648917\pi\) | |||||||
\(888\) | 2.88928e13 | 1.55931 | ||||||||
\(889\) | 2.06326e12 | − | 9.48425e12i | 0.110789 | − | 0.509266i | ||||
\(890\) | 7.77777e12 | 0.415528 | ||||||||
\(891\) | 2.92488e12 | + | 5.06604e12i | 0.155474 | + | 0.269289i | ||||
\(892\) | 1.53047e13 | − | 2.65086e13i | 0.809439 | − | 1.40199i | ||||
\(893\) | 8.83895e11 | − | 1.53095e12i | 0.0465124 | − | 0.0805619i | ||||
\(894\) | −1.83626e13 | − | 3.18049e13i | −0.961424 | − | 1.66524i | ||||
\(895\) | 2.28790e12 | 0.119188 | ||||||||
\(896\) | 3.07011e13 | − | 9.81374e12i | 1.59136 | − | 0.508685i | ||||
\(897\) | −3.08559e12 | −0.159138 | ||||||||
\(898\) | −2.38434e13 | − | 4.12980e13i | −1.22356 | − | 2.11926i | ||||
\(899\) | −2.00401e13 | + | 3.47104e13i | −1.02325 | + | 1.77232i | ||||
\(900\) | −2.57709e12 | + | 4.46364e12i | −0.130930 | + | 0.226777i | ||||
\(901\) | 1.31797e13 | + | 2.28279e13i | 0.666260 | + | 1.15400i | ||||
\(902\) | −4.59046e12 | −0.230902 | ||||||||
\(903\) | −1.69251e13 | − | 1.53862e13i | −0.847102 | − | 0.770082i | ||||
\(904\) | 7.19311e11 | 0.0358227 | ||||||||
\(905\) | 3.98104e11 | + | 6.89537e11i | 0.0197278 | + | 0.0341695i | ||||
\(906\) | −2.75792e13 | + | 4.77686e13i | −1.35989 | + | 2.35541i | ||||
\(907\) | 1.47244e13 | − | 2.55034e13i | 0.722444 | − | 1.25131i | −0.237573 | − | 0.971370i | \(-0.576352\pi\) |
0.960017 | − | 0.279941i | \(-0.0903148\pi\) | |||||||
\(908\) | −1.68950e13 | − | 2.92630e13i | −0.824845 | − | 1.42867i | ||||
\(909\) | −6.29881e11 | −0.0306000 | ||||||||
\(910\) | 1.67464e12 | + | 1.52238e12i | 0.0809535 | + | 0.0735930i | ||||
\(911\) | −3.93094e12 | −0.189088 | −0.0945440 | − | 0.995521i | \(-0.530139\pi\) | ||||
−0.0945440 | + | 0.995521i | \(0.530139\pi\) | |||||||
\(912\) | −9.83772e10 | − | 1.70394e11i | −0.00470888 | − | 0.00815602i | ||||
\(913\) | −2.42555e12 | + | 4.20118e12i | −0.115529 | + | 0.200103i | ||||
\(914\) | −2.90910e13 | + | 5.03870e13i | −1.37880 | + | 2.38815i | ||||
\(915\) | 3.42294e12 | + | 5.92870e12i | 0.161437 | + | 0.279618i | ||||
\(916\) | −2.47158e13 | −1.15996 | ||||||||
\(917\) | 2.21891e12 | − | 7.09286e11i | 0.103628 | − | 0.0331253i | ||||
\(918\) | 5.23948e13 | 2.43498 | ||||||||
\(919\) | −9.53377e12 | − | 1.65130e13i | −0.440905 | − | 0.763669i | 0.556852 | − | 0.830612i | \(-0.312009\pi\) |
−0.997757 | + | 0.0669423i | \(0.978676\pi\) | |||||||
\(920\) | −1.75554e12 | + | 3.04068e12i | −0.0807914 | + | 0.139935i | ||||
\(921\) | 1.34733e12 | − | 2.33364e12i | 0.0617028 | − | 0.106872i | ||||
\(922\) | −2.68951e13 | − | 4.65836e13i | −1.22570 | − | 2.12297i | ||||
\(923\) | 6.19528e12 | 0.280966 | ||||||||
\(924\) | −2.74552e12 | + | 1.26204e13i | −0.123908 | + | 0.569572i | ||||
\(925\) | 3.38133e13 | 1.51862 | ||||||||
\(926\) | 1.50594e13 | + | 2.60836e13i | 0.673066 | + | 1.16578i | ||||
\(927\) | 1.66779e12 | − | 2.88869e12i | 0.0741792 | − | 0.128482i | ||||
\(928\) | 1.33163e13 | − | 2.30646e13i | 0.589412 | − | 1.02089i | ||||
\(929\) | −4.82749e12 | − | 8.36147e12i | −0.212643 | − | 0.368308i | 0.739898 | − | 0.672719i | \(-0.234874\pi\) |
−0.952541 | + | 0.304411i | \(0.901540\pi\) | |||||||
\(930\) | 1.33647e13 | 0.585850 | ||||||||
\(931\) | −3.00884e11 | − | 3.15162e12i | −0.0131258 | − | 0.137487i | ||||
\(932\) | −1.28740e13 | −0.558908 | ||||||||
\(933\) | −1.04602e13 | − | 1.81177e13i | −0.451933 | − | 0.782771i | ||||
\(934\) | 3.13063e13 | − | 5.42241e13i | 1.34608 | − | 2.33148i | ||||
\(935\) | 1.53841e12 | − | 2.66460e12i | 0.0658293 | − | 0.114020i | ||||
\(936\) | −5.81583e11 | − | 1.00733e12i | −0.0247668 | − | 0.0428974i | ||||
\(937\) | −4.67743e13 | −1.98234 | −0.991172 | − | 0.132581i | \(-0.957674\pi\) | ||||
−0.991172 | + | 0.132581i | \(0.957674\pi\) | |||||||
\(938\) | 1.23724e11 | − | 5.68723e11i | 0.00521843 | − | 0.0239877i | ||||
\(939\) | 3.87576e13 | 1.62690 | ||||||||
\(940\) | 3.22449e12 | + | 5.58499e12i | 0.134706 | + | 0.233317i | ||||
\(941\) | 9.29968e12 | − | 1.61075e13i | 0.386647 | − | 0.669692i | −0.605349 | − | 0.795960i | \(-0.706967\pi\) |
0.991996 | + | 0.126268i | \(0.0402999\pi\) | |||||||
\(942\) | −2.55435e13 | + | 4.42426e13i | −1.05694 | + | 1.83068i | ||||
\(943\) | −2.79830e12 | − | 4.84681e12i | −0.115237 | − | 0.199597i | ||||
\(944\) | 3.21314e12 | 0.131691 | ||||||||
\(945\) | 6.02810e12 | − | 1.92691e12i | 0.245888 | − | 0.0785993i | ||||
\(946\) | 1.94954e13 | 0.791447 | ||||||||
\(947\) | 9.14220e12 | + | 1.58348e13i | 0.369382 | + | 0.639788i | 0.989469 | − | 0.144745i | \(-0.0462361\pi\) |
−0.620087 | + | 0.784533i | \(0.712903\pi\) | |||||||
\(948\) | 3.04204e13 | − | 5.26897e13i | 1.22328 | − | 2.11879i | ||||
\(949\) | −5.08228e12 | + | 8.80277e12i | −0.203405 | + | 0.352307i | ||||
\(950\) | −2.65700e12 | − | 4.60206e12i | −0.105836 | − | 0.183314i | ||||
\(951\) | 2.42530e13 | 0.961509 | ||||||||
\(952\) | 2.78983e13 | + | 2.53617e13i | 1.10081 | + | 1.00072i | ||||
\(953\) | 1.68019e13 | 0.659844 | 0.329922 | − | 0.944008i | \(-0.392978\pi\) | ||||
0.329922 | + | 0.944008i | \(0.392978\pi\) | |||||||
\(954\) | −3.33178e12 | − | 5.77081e12i | −0.130229 | − | 0.225564i | ||||
\(955\) | −3.70098e12 | + | 6.41028e12i | −0.143980 | + | 0.249380i | ||||
\(956\) | 3.14049e13 | − | 5.43950e13i | 1.21601 | − | 2.10619i | ||||
\(957\) | 5.75549e12 | + | 9.96880e12i | 0.221809 | + | 0.384184i | ||||
\(958\) | 4.30600e13 | 1.65169 | ||||||||
\(959\) | −1.21653e13 | − | 1.10592e13i | −0.464449 | − | 0.422220i | ||||
\(960\) | −9.31542e12 | −0.353983 | ||||||||
\(961\) | −2.18488e13 | − | 3.78433e13i | −0.826368 | − | 1.43131i | ||||
\(962\) | −9.67633e12 | + | 1.67599e13i | −0.364270 | + | 0.630933i | ||||
\(963\) | −1.62511e12 | + | 2.81478e12i | −0.0608928 | + | 0.105469i | ||||
\(964\) | −7.58945e12 | − | 1.31453e13i | −0.283050 | − | 0.490258i | ||||
\(965\) | 6.52944e11 | 0.0242383 | ||||||||
\(966\) | −2.40835e13 | + | 7.69840e12i | −0.889861 | + | 0.284448i | ||||
\(967\) | 7.00907e12 | 0.257775 | 0.128888 | − | 0.991659i | \(-0.458859\pi\) | ||||
0.128888 | + | 0.991659i | \(0.458859\pi\) | |||||||
\(968\) | 1.23070e13 | + | 2.13164e13i | 0.450521 | + | 0.780325i | ||||
\(969\) | −2.42562e12 | + | 4.20129e12i | −0.0883823 | + | 0.153083i | ||||
\(970\) | −6.92948e12 | + | 1.20022e13i | −0.251320 | + | 0.435300i | ||||
\(971\) | 3.43839e12 | + | 5.95547e12i | 0.124128 | + | 0.214995i | 0.921392 | − | 0.388635i | \(-0.127053\pi\) |
−0.797264 | + | 0.603631i | \(0.793720\pi\) | |||||||
\(972\) | −1.53083e13 | −0.550083 | ||||||||
\(973\) | 7.88938e11 | − | 3.62653e12i | 0.0282186 | − | 0.129713i | ||||
\(974\) | 1.82867e13 | 0.651058 | ||||||||
\(975\) | 3.35877e12 | + | 5.81757e12i | 0.119031 | + | 0.206168i | ||||
\(976\) | 1.54909e12 | − | 2.68311e12i | 0.0546454 | − | 0.0946486i | ||||
\(977\) | −2.17461e13 | + | 3.76653e13i | −0.763581 | + | 1.32256i | 0.177413 | + | 0.984136i | \(0.443227\pi\) |
−0.940994 | + | 0.338424i | \(0.890106\pi\) | |||||||
\(978\) | 1.47595e12 | + | 2.55643e12i | 0.0515879 | + | 0.0893528i | ||||
\(979\) | −1.17227e13 | −0.407855 | ||||||||
\(980\) | 1.05058e13 | + | 4.79806e12i | 0.363840 | + | 0.166168i | ||||
\(981\) | −5.31486e12 | −0.183224 | ||||||||
\(982\) | 4.67717e12 | + | 8.10110e12i | 0.160502 | + | 0.277998i | ||||
\(983\) | 1.26523e13 | − | 2.19145e13i | 0.432195 | − | 0.748584i | −0.564867 | − | 0.825182i | \(-0.691073\pi\) |
0.997062 | + | 0.0765982i | \(0.0244059\pi\) | |||||||
\(984\) | −5.20558e12 | + | 9.01632e12i | −0.177007 | + | 0.306585i | ||||
\(985\) | 1.50864e12 | + | 2.61304e12i | 0.0510650 | + | 0.0884471i | ||||
\(986\) | 8.52209e13 | 2.87144 | ||||||||
\(987\) | −3.89258e12 | + | 1.78931e13i | −0.130560 | + | 0.600148i | ||||
\(988\) | 1.89413e12 | 0.0632418 | ||||||||
\(989\) | 1.18842e13 | + | 2.05841e13i | 0.394991 | + | 0.684144i | ||||
\(990\) | −3.88904e11 | + | 6.73601e11i | −0.0128672 | + | 0.0222866i | ||||
\(991\) | −9.28586e11 | + | 1.60836e12i | −0.0305837 | + | 0.0529726i | −0.880912 | − | 0.473280i | \(-0.843070\pi\) |
0.850328 | + | 0.526252i | \(0.176403\pi\) | |||||||
\(992\) | 2.33026e13 | + | 4.03614e13i | 0.764016 | + | 1.32331i | ||||
\(993\) | 4.01555e13 | 1.31061 | ||||||||
\(994\) | 4.83550e13 | − | 1.54569e13i | 1.57110 | − | 0.502209i | ||||
\(995\) | 5.91652e12 | 0.191365 | ||||||||
\(996\) | 1.39516e13 | + | 2.41648e13i | 0.449217 | + | 0.778067i | ||||
\(997\) | −4.08292e12 | + | 7.07182e12i | −0.130871 | + | 0.226675i | −0.924012 | − | 0.382362i | \(-0.875111\pi\) |
0.793142 | + | 0.609037i | \(0.208444\pi\) | |||||||
\(998\) | −3.85728e13 | + | 6.68100e13i | −1.23082 | + | 2.13184i | ||||
\(999\) | 2.70579e13 | + | 4.68657e13i | 0.859508 | + | 1.48871i |
(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 | 91.10.e.a.53.3 | ✓ | 70 | |
7.2 | even | 3 | inner | 91.10.e.a.79.3 | yes | 70 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
91.10.e.a.53.3 | ✓ | 70 | 1.1 | even | 1 | trivial | |
91.10.e.a.79.3 | yes | 70 | 7.2 | even | 3 | inner |