Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,9,Mod(3,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 9, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.3");
S:= CuspForms(chi, 9);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 9 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.h (of order \(42\), degree \(12\), 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: | \(336\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 3.3 | ||
Character | \(\chi\) | \(=\) | 43.3 |
Dual form | 43.9.h.a.29.3 |
$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{1}{42}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −11.8000 | + | 24.5029i | −0.737498 | + | 1.53143i | 0.106040 | + | 0.994362i | \(0.466183\pi\) |
−0.843538 | + | 0.537069i | \(0.819531\pi\) | |||||||
\(3\) | −134.895 | − | 10.1090i | −1.66537 | − | 0.124802i | −0.791567 | − | 0.611082i | \(-0.790735\pi\) |
−0.873803 | + | 0.486280i | \(0.838354\pi\) | |||||||
\(4\) | −301.539 | − | 378.118i | −1.17789 | − | 1.47702i | ||||
\(5\) | −246.719 | + | 799.843i | −0.394750 | + | 1.27975i | 0.512329 | + | 0.858789i | \(0.328783\pi\) |
−0.907080 | + | 0.420959i | \(0.861694\pi\) | |||||||
\(6\) | 1839.46 | − | 3186.03i | 1.41933 | − | 2.45836i | ||||
\(7\) | 1956.96 | − | 1129.85i | 0.815060 | − | 0.470575i | −0.0336499 | − | 0.999434i | \(-0.510713\pi\) |
0.848710 | + | 0.528858i | \(0.177380\pi\) | |||||||
\(8\) | 6035.48 | − | 1377.56i | 1.47351 | − | 0.336318i | ||||
\(9\) | 11606.8 | + | 1749.44i | 1.76905 | + | 0.266642i | ||||
\(10\) | −16687.2 | − | 15483.4i | −1.66872 | − | 1.54834i | ||||
\(11\) | 15455.1 | − | 19380.1i | 1.05561 | − | 1.32369i | 0.111603 | − | 0.993753i | \(-0.464402\pi\) |
0.944004 | − | 0.329935i | \(-0.107027\pi\) | |||||||
\(12\) | 36853.7 | + | 54054.5i | 1.77728 | + | 2.60679i | ||||
\(13\) | −36464.5 | + | 33834.1i | −1.27672 | + | 1.18463i | −0.303997 | + | 0.952673i | \(0.598321\pi\) |
−0.972727 | + | 0.231953i | \(0.925488\pi\) | |||||||
\(14\) | 4592.55 | + | 61283.4i | 0.119548 | + | 1.59526i | ||||
\(15\) | 41366.7 | − | 105401.i | 0.817121 | − | 2.08199i | ||||
\(16\) | −9914.08 | + | 43436.4i | −0.151277 | + | 0.662787i | ||||
\(17\) | 53283.0 | − | 16435.6i | 0.637959 | − | 0.196784i | 0.0411314 | − | 0.999154i | \(-0.486904\pi\) |
0.596828 | + | 0.802369i | \(0.296428\pi\) | |||||||
\(18\) | −179826. | + | 263756.i | −1.71302 | + | 2.51253i | ||||
\(19\) | −2158.58 | − | 14321.2i | −0.0165636 | − | 0.109892i | 0.979021 | − | 0.203758i | \(-0.0653156\pi\) |
−0.995585 | + | 0.0938660i | \(0.970077\pi\) | |||||||
\(20\) | 376830. | − | 147895.i | 2.35519 | − | 0.924344i | ||||
\(21\) | −275406. | + | 132628.i | −1.41611 | + | 0.681961i | ||||
\(22\) | 292499. | + | 607380.i | 1.24863 | + | 2.59281i | ||||
\(23\) | −108121. | − | 275489.i | −0.386368 | − | 0.984448i | −0.983273 | − | 0.182137i | \(-0.941699\pi\) |
0.596906 | − | 0.802311i | \(-0.296397\pi\) | |||||||
\(24\) | −828082. | + | 124813.i | −2.49591 | + | 0.376197i | ||||
\(25\) | −256129. | − | 174626.i | −0.655689 | − | 0.447041i | ||||
\(26\) | −398754. | − | 1.29273e6i | −0.872592 | − | 2.82887i | ||||
\(27\) | −682733. | − | 155829.i | −1.28468 | − | 0.293220i | ||||
\(28\) | −1.01732e6 | − | 399267.i | −1.65510 | − | 0.649579i | ||||
\(29\) | −544262. | + | 40786.8i | −0.769513 | + | 0.0576670i | −0.453700 | − | 0.891154i | \(-0.649896\pi\) |
−0.315813 | + | 0.948821i | \(0.602277\pi\) | |||||||
\(30\) | 2.09450e6 | + | 2.25733e6i | 2.58580 | + | 2.78683i | ||||
\(31\) | 1.04064e6 | − | 709493.i | 1.12681 | − | 0.768248i | 0.151365 | − | 0.988478i | \(-0.451633\pi\) |
0.975448 | + | 0.220230i | \(0.0706809\pi\) | |||||||
\(32\) | 291728. | + | 232645.i | 0.278213 | + | 0.221868i | ||||
\(33\) | −2.28073e6 | + | 2.45805e6i | −1.92317 | + | 2.07269i | ||||
\(34\) | −226017. | + | 1.49953e6i | −0.169132 | + | 1.12212i | ||||
\(35\) | 420884. | + | 1.84402e6i | 0.280473 | + | 1.22883i | ||||
\(36\) | −2.83840e6 | − | 4.91625e6i | −1.68991 | − | 2.92701i | ||||
\(37\) | 1.24067e6 | + | 716299.i | 0.661984 | + | 0.382197i | 0.793033 | − | 0.609179i | \(-0.208501\pi\) |
−0.131048 | + | 0.991376i | \(0.541834\pi\) | |||||||
\(38\) | 376383. | + | 116099.i | 0.180508 | + | 0.0556792i | ||||
\(39\) | 5.26091e6 | − | 4.19543e6i | 2.27406 | − | 1.81350i | ||||
\(40\) | −387236. | + | 5.16730e6i | −0.151264 | + | 2.01848i | ||||
\(41\) | 3.12240e6 | + | 1.50367e6i | 1.10497 | + | 0.532128i | 0.895219 | − | 0.445626i | \(-0.147019\pi\) |
0.209756 | + | 0.977754i | \(0.432733\pi\) | |||||||
\(42\) | − | 8.31325e6i | − | 2.67161i | ||||||
\(43\) | −1.78839e6 | + | 2.91374e6i | −0.523104 | + | 0.852269i | ||||
\(44\) | −1.19883e7 | −3.19850 | ||||||||
\(45\) | −4.26288e6 | + | 8.85196e6i | −1.03957 | + | 2.15869i | ||||
\(46\) | 8.02611e6 | + | 601474.i | 1.79256 | + | 0.134334i | ||||
\(47\) | −435626. | − | 546258.i | −0.0892735 | − | 0.111945i | 0.735189 | − | 0.677863i | \(-0.237094\pi\) |
−0.824462 | + | 0.565917i | \(0.808522\pi\) | |||||||
\(48\) | 1.77646e6 | − | 5.75914e6i | 0.334649 | − | 1.08491i | ||||
\(49\) | −329274. | + | 570319.i | −0.0571180 | + | 0.0989312i | ||||
\(50\) | 7.30114e6 | − | 4.21532e6i | 1.16818 | − | 0.674450i | ||||
\(51\) | −7.35376e6 | + | 1.67845e6i | −1.08700 | + | 0.248100i | ||||
\(52\) | 2.37888e7 | + | 3.58558e6i | 3.25356 | + | 0.490395i | ||||
\(53\) | −4.55258e6 | − | 4.22418e6i | −0.576971 | − | 0.535351i | 0.336802 | − | 0.941576i | \(-0.390655\pi\) |
−0.913773 | + | 0.406224i | \(0.866845\pi\) | |||||||
\(54\) | 1.18745e7 | − | 1.48901e7i | 1.39650 | − | 1.75115i | ||||
\(55\) | 1.16880e7 | + | 1.71431e7i | 1.27729 | + | 1.87344i | ||||
\(56\) | 1.02547e7 | − | 9.51502e6i | 1.04273 | − | 0.967514i | ||||
\(57\) | 146408. | + | 1.95368e6i | 0.0138697 | + | 0.185078i | ||||
\(58\) | 5.42288e6 | − | 1.38173e7i | 0.479202 | − | 1.22099i | ||||
\(59\) | 1.28717e6 | − | 5.63948e6i | 0.106226 | − | 0.465405i | −0.893636 | − | 0.448792i | \(-0.851855\pi\) |
0.999862 | − | 0.0166131i | \(-0.00528835\pi\) | |||||||
\(60\) | −5.23276e7 | + | 1.61409e7i | −4.03762 | + | 1.24544i | ||||
\(61\) | 4.86961e6 | − | 7.14241e6i | 0.351702 | − | 0.515852i | −0.609098 | − | 0.793095i | \(-0.708468\pi\) |
0.960800 | + | 0.277243i | \(0.0894207\pi\) | |||||||
\(62\) | 5.10517e6 | + | 3.38706e7i | 0.345496 | + | 2.29222i | ||||
\(63\) | 2.46906e7 | − | 9.69033e6i | 1.56736 | − | 0.615143i | ||||
\(64\) | −1.94190e7 | + | 9.35171e6i | −1.15746 | + | 0.557405i | ||||
\(65\) | −1.80655e7 | − | 3.75134e7i | −1.01204 | − | 2.10152i | ||||
\(66\) | −3.33166e7 | − | 8.48894e7i | −1.75584 | − | 4.47381i | ||||
\(67\) | −1.28503e7 | + | 1.93687e6i | −0.637697 | + | 0.0961173i | −0.459930 | − | 0.887955i | \(-0.652125\pi\) |
−0.177767 | + | 0.984073i | \(0.556887\pi\) | |||||||
\(68\) | −2.22815e7 | − | 1.51913e7i | −1.04210 | − | 0.710491i | ||||
\(69\) | 1.18001e7 | + | 3.82551e7i | 0.520584 | + | 1.68769i | ||||
\(70\) | −5.01501e7 | − | 1.14464e7i | −2.08872 | − | 0.476736i | ||||
\(71\) | 3.83134e6 | + | 1.50369e6i | 0.150771 | + | 0.0591732i | 0.439526 | − | 0.898230i | \(-0.355146\pi\) |
−0.288756 | + | 0.957403i | \(0.593242\pi\) | |||||||
\(72\) | 7.24623e7 | − | 5.43030e6i | 2.69639 | − | 0.202066i | ||||
\(73\) | 2.82397e7 | + | 3.04351e7i | 0.994416 | + | 1.07173i | 0.997424 | + | 0.0717302i | \(0.0228521\pi\) |
−0.00300794 | + | 0.999995i | \(0.500957\pi\) | |||||||
\(74\) | −3.21912e7 | + | 2.19476e7i | −1.07352 | + | 0.731914i | ||||
\(75\) | 3.27852e7 | + | 2.61453e7i | 1.03617 | + | 0.826321i | ||||
\(76\) | −4.76422e6 | + | 5.13461e6i | −0.142803 | + | 0.153905i | ||||
\(77\) | 8.34841e6 | − | 5.53881e7i | 0.237488 | − | 1.57563i | ||||
\(78\) | 4.07217e7 | + | 1.78413e8i | 1.10014 | + | 4.82002i | ||||
\(79\) | 3.38688e6 | + | 5.86625e6i | 0.0869544 | + | 0.150609i | 0.906222 | − | 0.422801i | \(-0.138953\pi\) |
−0.819268 | + | 0.573411i | \(0.805620\pi\) | |||||||
\(80\) | −3.22963e7 | − | 1.86463e7i | −0.788484 | − | 0.455232i | ||||
\(81\) | 1.69313e7 | + | 5.22261e6i | 0.393324 | + | 0.121324i | ||||
\(82\) | −7.36883e7 | + | 5.87645e7i | −1.62983 | + | 1.29975i | ||||
\(83\) | 3.23469e6 | − | 4.31639e7i | 0.0681585 | − | 0.909512i | −0.853396 | − | 0.521263i | \(-0.825461\pi\) |
0.921555 | − | 0.388249i | \(-0.126920\pi\) | |||||||
\(84\) | 1.33195e8 | + | 6.41432e7i | 2.67528 | + | 1.28835i | ||||
\(85\) | 4.66730e7i | 0.894108i | ||||||||
\(86\) | −5.02920e7 | − | 7.82027e7i | −0.919402 | − | 1.42964i | ||||
\(87\) | 7.38306e7 | 1.28872 | ||||||||
\(88\) | 6.65818e7 | − | 1.38259e8i | 1.11026 | − | 2.30548i | ||||
\(89\) | 9.17218e7 | + | 6.87360e6i | 1.46188 | + | 0.109553i | 0.781776 | − | 0.623560i | \(-0.214314\pi\) |
0.680107 | + | 0.733113i | \(0.261933\pi\) | |||||||
\(90\) | −1.66597e8 | − | 2.08906e8i | −2.53920 | − | 3.18405i | ||||
\(91\) | −3.31320e7 | + | 1.07411e8i | −0.483151 | + | 1.56634i | ||||
\(92\) | −7.15645e7 | + | 1.23953e8i | −0.998956 | + | 1.73024i | ||||
\(93\) | −1.47549e8 | + | 8.51873e7i | −1.97244 | + | 1.13879i | ||||
\(94\) | 1.85253e7 | − | 4.22827e6i | 0.237276 | − | 0.0541566i | ||||
\(95\) | 1.19873e7 | + | 1.80679e6i | 0.147173 | + | 0.0221827i | ||||
\(96\) | −3.70008e7 | − | 3.43317e7i | −0.435638 | − | 0.404213i | ||||
\(97\) | −1.72402e7 | + | 2.16185e7i | −0.194740 | + | 0.244196i | −0.869609 | − | 0.493742i | \(-0.835629\pi\) |
0.674869 | + | 0.737938i | \(0.264200\pi\) | |||||||
\(98\) | −1.00890e7 | − | 1.47979e7i | −0.109382 | − | 0.160434i | ||||
\(99\) | 2.13288e8 | − | 1.97903e8i | 2.22037 | − | 2.06021i | ||||
\(100\) | 1.12037e7 | + | 1.49503e8i | 0.112037 | + | 1.49503i | ||||
\(101\) | −1.55522e7 | + | 3.96264e7i | −0.149454 | + | 0.380802i | −0.985920 | − | 0.167216i | \(-0.946522\pi\) |
0.836466 | + | 0.548018i | \(0.184618\pi\) | |||||||
\(102\) | 4.56473e7 | − | 1.99994e8i | 0.421711 | − | 1.84763i | ||||
\(103\) | −5.69636e7 | + | 1.75710e7i | −0.506115 | + | 0.156116i | −0.537289 | − | 0.843398i | \(-0.680552\pi\) |
0.0311743 | + | 0.999514i | \(0.490075\pi\) | |||||||
\(104\) | −1.73472e8 | + | 2.54437e8i | −1.48285 | + | 2.17494i | ||||
\(105\) | −3.81341e7 | − | 2.53003e8i | −0.313730 | − | 2.08146i | ||||
\(106\) | 1.57225e8 | − | 6.17062e7i | 1.24537 | − | 0.488771i | ||||
\(107\) | −5.12212e7 | + | 2.46668e7i | −0.390764 | + | 0.188182i | −0.618941 | − | 0.785438i | \(-0.712438\pi\) |
0.228177 | + | 0.973620i | \(0.426724\pi\) | |||||||
\(108\) | 1.46949e8 | + | 3.05142e8i | 1.08012 | + | 2.24289i | ||||
\(109\) | −2.66859e7 | − | 6.79946e7i | −0.189050 | − | 0.481691i | 0.804652 | − | 0.593747i | \(-0.202352\pi\) |
−0.993702 | + | 0.112055i | \(0.964257\pi\) | |||||||
\(110\) | −5.57974e8 | + | 8.41010e7i | −3.81103 | + | 0.574421i | ||||
\(111\) | −1.60119e8 | − | 1.09167e8i | −1.05475 | − | 0.719117i | ||||
\(112\) | 2.96752e7 | + | 9.62048e7i | 0.188592 | + | 0.611399i | ||||
\(113\) | 2.76395e8 | + | 6.30854e7i | 1.69518 | + | 0.386915i | 0.957546 | − | 0.288282i | \(-0.0930839\pi\) |
0.737638 | + | 0.675196i | \(0.235941\pi\) | |||||||
\(114\) | −4.95985e7 | − | 1.94660e7i | −0.293663 | − | 0.115254i | ||||
\(115\) | 2.47023e8 | − | 1.85118e7i | 1.41236 | − | 0.105842i | ||||
\(116\) | 1.79539e8 | + | 1.93496e8i | 0.991575 | + | 1.06866i | ||||
\(117\) | −4.82425e8 | + | 3.28912e8i | −2.57446 | + | 1.75524i | ||||
\(118\) | 1.22995e8 | + | 9.80852e7i | 0.634394 | + | 0.505912i | ||||
\(119\) | 8.57028e7 | − | 9.23657e7i | 0.427373 | − | 0.460599i | ||||
\(120\) | 1.04472e8 | − | 6.93129e8i | 0.503821 | − | 3.34263i | ||||
\(121\) | −8.90287e7 | − | 3.90060e8i | −0.415325 | − | 1.81966i | ||||
\(122\) | 1.17548e8 | + | 2.03600e8i | 0.530612 | + | 0.919047i | ||||
\(123\) | −4.05995e8 | − | 2.34401e8i | −1.77378 | − | 1.02409i | ||||
\(124\) | −5.82064e8 | − | 1.79543e8i | −2.46198 | − | 0.759420i | ||||
\(125\) | −5.27666e7 | + | 4.20800e7i | −0.216132 | + | 0.172360i | ||||
\(126\) | −5.39067e7 | + | 7.19336e8i | −0.213875 | + | 2.85397i | ||||
\(127\) | 2.68671e8 | + | 1.29385e8i | 1.03278 | + | 0.497359i | 0.871935 | − | 0.489622i | \(-0.162865\pi\) |
0.160841 | + | 0.986980i | \(0.448579\pi\) | |||||||
\(128\) | − | 4.90650e8i | − | 1.82781i | ||||||
\(129\) | 2.70700e8 | − | 3.74970e8i | 0.977528 | − | 1.35406i | ||||
\(130\) | 1.13236e9 | 3.96470 | ||||||||
\(131\) | −6.46345e7 | + | 1.34215e8i | −0.219472 | + | 0.455738i | −0.981413 | − | 0.191908i | \(-0.938532\pi\) |
0.761941 | + | 0.647647i | \(0.224247\pi\) | |||||||
\(132\) | 1.61716e9 | + | 1.21190e8i | 5.32669 | + | 0.399180i | ||||
\(133\) | −2.04051e7 | − | 2.55872e7i | −0.0652127 | − | 0.0817742i | ||||
\(134\) | 1.04174e8 | − | 3.37725e8i | 0.323103 | − | 1.04747i | ||||
\(135\) | 2.93082e8 | − | 5.07633e8i | 0.882376 | − | 1.52832i | ||||
\(136\) | 2.98947e8 | − | 1.72597e8i | 0.873854 | − | 0.504520i | ||||
\(137\) | −3.00738e8 | + | 6.86414e7i | −0.853700 | + | 0.194852i | −0.626910 | − | 0.779092i | \(-0.715680\pi\) |
−0.226791 | + | 0.973944i | \(0.572823\pi\) | |||||||
\(138\) | −1.07660e9 | − | 1.62272e8i | −2.96851 | − | 0.447431i | ||||
\(139\) | 1.65385e8 | + | 1.53455e8i | 0.443034 | + | 0.411075i | 0.869891 | − | 0.493244i | \(-0.164189\pi\) |
−0.426857 | + | 0.904319i | \(0.640379\pi\) | |||||||
\(140\) | 5.70342e8 | − | 7.15187e8i | 1.48465 | − | 1.86169i | ||||
\(141\) | 5.32417e7 | + | 7.80912e7i | 0.134702 | + | 0.197572i | ||||
\(142\) | −8.20545e7 | + | 7.61354e7i | −0.201813 | + | 0.187255i | ||||
\(143\) | 9.21456e7 | + | 1.22960e9i | 0.220359 | + | 2.94048i | ||||
\(144\) | −1.91060e8 | + | 4.86812e8i | −0.444344 | + | 1.13217i | ||||
\(145\) | 1.01657e8 | − | 4.45387e8i | 0.229966 | − | 1.00755i | ||||
\(146\) | −1.07898e9 | + | 3.32820e8i | −2.37465 | + | 0.732484i | ||||
\(147\) | 5.01827e7 | − | 7.36045e7i | 0.107469 | − | 0.157629i | ||||
\(148\) | −1.03264e8 | − | 6.85110e8i | −0.215229 | − | 1.42795i | ||||
\(149\) | −2.06732e8 | + | 8.11363e7i | −0.419433 | + | 0.164615i | −0.565665 | − | 0.824635i | \(-0.691381\pi\) |
0.146232 | + | 0.989250i | \(0.453285\pi\) | |||||||
\(150\) | −1.02750e9 | + | 4.94818e8i | −2.02963 | + | 0.977418i | ||||
\(151\) | 2.66387e8 | + | 5.53159e8i | 0.512396 | + | 1.06400i | 0.983329 | + | 0.181833i | \(0.0582029\pi\) |
−0.470933 | + | 0.882169i | \(0.656083\pi\) | |||||||
\(152\) | −3.27564e7 | − | 8.34619e7i | −0.0613651 | − | 0.156356i | ||||
\(153\) | 6.47196e8 | − | 9.75490e7i | 1.18105 | − | 0.178015i | ||||
\(154\) | 1.25866e9 | + | 8.58138e8i | 2.23782 | + | 1.52572i | ||||
\(155\) | 3.10739e8 | + | 1.00739e9i | 0.538354 | + | 1.74530i | ||||
\(156\) | −3.17274e9 | − | 7.24157e8i | −5.35718 | − | 1.22274i | ||||
\(157\) | 4.35220e8 | + | 1.70811e8i | 0.716325 | + | 0.281137i | 0.695378 | − | 0.718644i | \(-0.255237\pi\) |
0.0209463 | + | 0.999781i | \(0.493332\pi\) | |||||||
\(158\) | −1.83705e8 | + | 1.37668e7i | −0.294777 | + | 0.0220905i | ||||
\(159\) | 5.71419e8 | + | 6.15843e8i | 0.894058 | + | 0.963566i | ||||
\(160\) | −2.58054e8 | + | 1.75938e8i | −0.393759 | + | 0.268461i | ||||
\(161\) | −5.22851e8 | − | 4.16960e8i | −0.778170 | − | 0.620570i | ||||
\(162\) | −3.27758e8 | + | 3.53239e8i | −0.475875 | + | 0.512872i | ||||
\(163\) | −1.98525e8 | + | 1.31713e9i | −0.281232 | + | 1.86585i | 0.187157 | + | 0.982330i | \(0.440073\pi\) |
−0.468389 | + | 0.883522i | \(0.655165\pi\) | |||||||
\(164\) | −3.72961e8 | − | 1.63405e9i | −0.515570 | − | 2.25886i | ||||
\(165\) | −1.40335e9 | − | 2.43067e9i | −1.89335 | − | 3.27937i | ||||
\(166\) | 1.01947e9 | + | 5.88592e8i | 1.34259 | + | 0.775144i | ||||
\(167\) | 7.49768e8 | + | 2.31273e8i | 0.963965 | + | 0.297344i | 0.736496 | − | 0.676442i | \(-0.236479\pi\) |
0.227469 | + | 0.973785i | \(0.426955\pi\) | |||||||
\(168\) | −1.47950e9 | + | 1.17986e9i | −1.85728 | + | 1.48113i | ||||
\(169\) | 1.23953e8 | − | 1.65404e9i | 0.151953 | − | 2.02768i | ||||
\(170\) | −1.14362e9 | − | 5.50740e8i | −1.36926 | − | 0.659403i | ||||
\(171\) | − | 1.69999e8i | − | 0.198821i | ||||||
\(172\) | 1.64101e9 | − | 2.02383e8i | 1.87498 | − | 0.231239i | ||||
\(173\) | 1.05569e9 | 1.17856 | 0.589278 | − | 0.807930i | \(-0.299412\pi\) | ||||
0.589278 | + | 0.807930i | \(0.299412\pi\) | |||||||
\(174\) | −8.71198e8 | + | 1.80906e9i | −0.950430 | + | 1.97359i | ||||
\(175\) | −6.98534e8 | − | 5.23479e7i | −0.744793 | − | 0.0558145i | ||||
\(176\) | 6.88580e8 | + | 8.63452e8i | 0.717635 | + | 0.899886i | ||||
\(177\) | −2.30643e8 | + | 7.47725e8i | −0.234989 | + | 0.761814i | ||||
\(178\) | −1.25074e9 | + | 2.16634e9i | −1.24591 | + | 2.15798i | ||||
\(179\) | 7.02917e8 | − | 4.05829e8i | 0.684687 | − | 0.395304i | −0.116932 | − | 0.993140i | \(-0.537306\pi\) |
0.801619 | + | 0.597836i | \(0.203973\pi\) | |||||||
\(180\) | 4.63251e9 | − | 1.05734e9i | 4.41292 | − | 1.00722i | ||||
\(181\) | 9.71442e8 | + | 1.46421e8i | 0.905113 | + | 0.136424i | 0.585073 | − | 0.810980i | \(-0.301066\pi\) |
0.320039 | + | 0.947404i | \(0.396304\pi\) | |||||||
\(182\) | −2.24093e9 | − | 2.07928e9i | −2.04241 | − | 1.89508i | ||||
\(183\) | −7.29089e8 | + | 9.14248e8i | −0.650094 | + | 0.815192i | ||||
\(184\) | −1.03207e9 | − | 1.51376e9i | −0.900402 | − | 1.32065i | ||||
\(185\) | −8.79022e8 | + | 8.15613e8i | −0.750434 | + | 0.696301i | ||||
\(186\) | −3.46264e8 | − | 4.62058e9i | −0.289305 | − | 3.86051i | ||||
\(187\) | 5.04971e8 | − | 1.28665e9i | 0.412952 | − | 1.05219i | ||||
\(188\) | −7.51916e7 | + | 3.29436e8i | −0.0601919 | + | 0.263718i | ||||
\(189\) | −1.51214e9 | + | 4.66435e8i | −1.18508 | + | 0.365547i | ||||
\(190\) | −1.85721e8 | + | 2.72403e8i | −0.142511 | + | 0.209025i | ||||
\(191\) | −1.95961e8 | − | 1.30012e9i | −0.147244 | − | 0.976898i | −0.933392 | − | 0.358859i | \(-0.883166\pi\) |
0.786148 | − | 0.618038i | \(-0.212072\pi\) | |||||||
\(192\) | 2.71407e9 | − | 1.06519e9i | 1.99717 | − | 0.783832i | ||||
\(193\) | −1.17928e9 | + | 5.67911e8i | −0.849938 | + | 0.409309i | −0.807555 | − | 0.589793i | \(-0.799209\pi\) |
−0.0423837 | + | 0.999101i | \(0.513495\pi\) | |||||||
\(194\) | −3.26282e8 | − | 6.77532e8i | −0.230349 | − | 0.478325i | ||||
\(195\) | 2.05772e9 | + | 5.24299e9i | 1.42314 | + | 3.62611i | ||||
\(196\) | 3.14937e8 | − | 4.74691e7i | 0.213402 | − | 0.0321652i | ||||
\(197\) | 2.26323e9 | + | 1.54305e9i | 1.50267 | + | 1.02450i | 0.985701 | + | 0.168501i | \(0.0538927\pi\) |
0.516971 | + | 0.856003i | \(0.327060\pi\) | |||||||
\(198\) | 2.33239e9 | + | 7.56142e9i | 1.51754 | + | 4.91975i | ||||
\(199\) | −9.60186e8 | − | 2.19156e8i | −0.612270 | − | 0.139747i | −0.0948691 | − | 0.995490i | \(-0.530243\pi\) |
−0.517401 | + | 0.855743i | \(0.673100\pi\) | |||||||
\(200\) | −1.78642e9 | − | 7.01116e8i | −1.11651 | − | 0.438198i | ||||
\(201\) | 1.75302e9 | − | 1.31371e8i | 1.07400 | − | 0.0804849i | ||||
\(202\) | −7.87447e8 | − | 8.48666e8i | −0.472950 | − | 0.509719i | ||||
\(203\) | −1.01902e9 | + | 6.94753e8i | −0.600063 | + | 0.409116i | ||||
\(204\) | 2.85210e9 | + | 2.27447e9i | 1.64681 | + | 1.31329i | ||||
\(205\) | −1.97305e9 | + | 2.12644e9i | −1.11718 | + | 1.20403i | ||||
\(206\) | 2.41630e8 | − | 1.60311e9i | 0.134178 | − | 0.890215i | ||||
\(207\) | −7.72989e8 | − | 3.38668e9i | −0.421009 | − | 1.84456i | ||||
\(208\) | −1.10812e9 | − | 1.91932e9i | −0.592017 | − | 1.02540i | ||||
\(209\) | −3.10908e8 | − | 1.79503e8i | −0.162947 | − | 0.0940777i | ||||
\(210\) | 6.64929e9 | + | 2.05103e9i | 3.41899 | + | 1.05462i | ||||
\(211\) | 1.32535e9 | − | 1.05693e9i | 0.668651 | − | 0.533231i | −0.229284 | − | 0.973360i | \(-0.573639\pi\) |
0.897935 | + | 0.440128i | \(0.145067\pi\) | |||||||
\(212\) | −2.24457e8 | + | 2.99517e9i | −0.111119 | + | 1.48278i | ||||
\(213\) | −5.01628e8 | − | 2.41571e8i | −0.243704 | − | 0.117362i | ||||
\(214\) | − | 1.54614e9i | − | 0.737212i | ||||||
\(215\) | −1.88930e9 | − | 2.14930e9i | −0.884194 | − | 1.00587i | ||||
\(216\) | −4.33528e9 | −1.99160 | ||||||||
\(217\) | 1.23486e9 | − | 2.56421e9i | 0.556902 | − | 1.15642i | ||||
\(218\) | 1.98096e9 | + | 1.48452e8i | 0.877100 | + | 0.0657296i | ||||
\(219\) | −3.50172e9 | − | 4.39102e9i | −1.52232 | − | 1.90893i | ||||
\(220\) | 2.95774e9 | − | 9.58875e9i | 1.26261 | − | 4.09328i | ||||
\(221\) | −1.38685e9 | + | 2.40210e9i | −0.581382 | + | 1.00698i | ||||
\(222\) | 4.56430e9 | − | 2.63520e9i | 1.87915 | − | 1.08493i | ||||
\(223\) | 1.20978e7 | − | 2.76125e6i | 0.00489202 | − | 0.00111657i | −0.220074 | − | 0.975483i | \(-0.570630\pi\) |
0.224966 | + | 0.974367i | \(0.427773\pi\) | |||||||
\(224\) | 8.33753e8 | + | 1.25668e8i | 0.331166 | + | 0.0499152i | ||||
\(225\) | −2.66733e9 | − | 2.47492e9i | −1.04075 | − | 0.965674i | ||||
\(226\) | −4.80723e9 | + | 6.02808e9i | −1.84273 | + | 2.31071i | ||||
\(227\) | −4.22624e8 | − | 6.19875e8i | −0.159166 | − | 0.233454i | 0.738369 | − | 0.674397i | \(-0.235596\pi\) |
−0.897535 | + | 0.440943i | \(0.854644\pi\) | |||||||
\(228\) | 6.94575e8 | − | 6.44472e8i | 0.257028 | − | 0.238487i | ||||
\(229\) | −2.79562e7 | − | 3.73050e8i | −0.0101657 | − | 0.135652i | 0.989812 | − | 0.142383i | \(-0.0454764\pi\) |
−0.999977 | + | 0.00673127i | \(0.997857\pi\) | |||||||
\(230\) | −2.46128e9 | + | 6.27123e9i | −0.879527 | + | 2.24100i | ||||
\(231\) | −1.68608e9 | + | 7.38719e9i | −0.592147 | + | 2.59436i | ||||
\(232\) | −3.22870e9 | + | 9.95921e8i | −1.11449 | + | 0.343774i | ||||
\(233\) | 3.14058e9 | − | 4.60638e9i | 1.06558 | − | 1.56292i | 0.264474 | − | 0.964393i | \(-0.414802\pi\) |
0.801105 | − | 0.598524i | \(-0.204246\pi\) | |||||||
\(234\) | −2.36669e9 | − | 1.57020e10i | −0.789365 | − | 5.23710i | ||||
\(235\) | 5.44397e8 | − | 2.13660e8i | 0.178503 | − | 0.0700571i | ||||
\(236\) | −2.52052e9 | + | 1.21382e9i | −0.812536 | + | 0.391297i | ||||
\(237\) | −3.97572e8 | − | 8.25566e8i | −0.126015 | − | 0.261673i | ||||
\(238\) | 1.25194e9 | + | 3.18988e9i | 0.390188 | + | 0.994183i | ||||
\(239\) | −4.80347e9 | + | 7.24007e8i | −1.47219 | + | 0.221897i | −0.835614 | − | 0.549317i | \(-0.814888\pi\) |
−0.636576 | + | 0.771214i | \(0.719650\pi\) | |||||||
\(240\) | 4.16812e9 | + | 2.84177e9i | 1.25630 | + | 0.856534i | ||||
\(241\) | 1.40347e9 | + | 4.54993e9i | 0.416039 | + | 1.34877i | 0.885018 | + | 0.465557i | \(0.154146\pi\) |
−0.468978 | + | 0.883210i | \(0.655378\pi\) | |||||||
\(242\) | 1.06081e10 | + | 2.42124e9i | 3.09298 | + | 0.705953i | ||||
\(243\) | 2.04584e9 | + | 8.02935e8i | 0.586742 | + | 0.230279i | ||||
\(244\) | −4.16905e9 | + | 3.12427e8i | −1.17619 | + | 0.0881433i | ||||
\(245\) | −3.74927e8 | − | 4.04076e8i | −0.104060 | − | 0.112150i | ||||
\(246\) | 1.05342e10 | − | 7.18212e9i | 2.87649 | − | 1.96116i | ||||
\(247\) | 5.63258e8 | + | 4.49183e8i | 0.151328 | + | 0.120680i | ||||
\(248\) | 5.30336e9 | − | 5.71566e9i | 1.40199 | − | 1.51098i | ||||
\(249\) | −8.72687e8 | + | 5.78990e9i | −0.227018 | + | 1.50617i | ||||
\(250\) | −4.08436e8 | − | 1.78948e9i | −0.104560 | − | 0.458106i | ||||
\(251\) | 9.09429e8 | + | 1.57518e9i | 0.229126 | + | 0.396857i | 0.957549 | − | 0.288270i | \(-0.0930800\pi\) |
−0.728423 | + | 0.685127i | \(0.759747\pi\) | |||||||
\(252\) | −1.11093e10 | − | 6.41393e9i | −2.75475 | − | 1.59046i | ||||
\(253\) | −7.01004e9 | − | 2.16231e9i | −1.71095 | − | 0.527760i | ||||
\(254\) | −6.34062e9 | + | 5.05648e9i | −1.52334 | + | 1.21482i | ||||
\(255\) | 4.71816e8 | − | 6.29595e9i | 0.111587 | − | 1.48902i | ||||
\(256\) | 7.05107e9 | + | 3.39562e9i | 1.64171 | + | 0.790604i | ||||
\(257\) | − | 6.76547e8i | − | 0.155084i | −0.996989 | − | 0.0775418i | \(-0.975293\pi\) | ||
0.996989 | − | 0.0775418i | \(-0.0247071\pi\) | |||||||
\(258\) | 5.99359e9 | + | 1.10576e10i | 1.35272 | + | 2.49563i | ||||
\(259\) | 3.23724e9 | 0.719410 | ||||||||
\(260\) | −8.73703e9 | + | 1.81426e10i | −1.91192 | + | 3.97015i | ||||
\(261\) | −6.38847e9 | − | 4.78750e8i | −1.37669 | − | 0.103168i | ||||
\(262\) | −2.52597e9 | − | 3.16746e9i | −0.536071 | − | 0.672212i | ||||
\(263\) | 1.65652e9 | − | 5.37030e9i | 0.346237 | − | 1.12247i | −0.600272 | − | 0.799796i | \(-0.704941\pi\) |
0.946509 | − | 0.322677i | \(-0.104583\pi\) | |||||||
\(264\) | −1.03792e10 | + | 1.79773e10i | −2.13673 | + | 3.70092i | ||||
\(265\) | 4.50189e9 | − | 2.59917e9i | 0.912874 | − | 0.527048i | ||||
\(266\) | 8.67740e8 | − | 1.98056e8i | 0.173326 | − | 0.0395605i | ||||
\(267\) | −1.23033e10 | − | 1.85443e9i | −2.42090 | − | 0.364893i | ||||
\(268\) | 4.60723e9 | + | 4.27489e9i | 0.893102 | + | 0.828678i | ||||
\(269\) | −9.93068e8 | + | 1.24527e9i | −0.189657 | + | 0.237823i | −0.867564 | − | 0.497325i | \(-0.834316\pi\) |
0.677907 | + | 0.735148i | \(0.262887\pi\) | |||||||
\(270\) | 8.98011e9 | + | 1.31714e10i | 1.68977 | + | 2.47843i | ||||
\(271\) | −6.21912e7 | + | 5.77050e7i | −0.0115306 | + | 0.0106988i | −0.685917 | − | 0.727680i | \(-0.740599\pi\) |
0.674386 | + | 0.738379i | \(0.264408\pi\) | |||||||
\(272\) | 1.85653e8 | + | 2.47737e9i | 0.0339177 | + | 0.452600i | ||||
\(273\) | 5.55517e9 | − | 1.41543e10i | 1.00011 | − | 2.54823i | ||||
\(274\) | 1.86678e9 | − | 8.17891e9i | 0.331201 | − | 1.45109i | ||||
\(275\) | −7.34276e9 | + | 2.26494e9i | −1.28389 | + | 0.396028i | ||||
\(276\) | 1.09067e10 | − | 1.59972e10i | 1.87957 | − | 2.75682i | ||||
\(277\) | −1.95292e8 | − | 1.29568e9i | −0.0331715 | − | 0.220079i | 0.966103 | − | 0.258156i | \(-0.0831148\pi\) |
−0.999275 | + | 0.0380772i | \(0.987877\pi\) | |||||||
\(278\) | −5.71163e9 | + | 2.24165e9i | −0.956270 | + | 0.375308i | ||||
\(279\) | 1.33196e10 | − | 6.41439e9i | 2.19824 | − | 1.05862i | ||||
\(280\) | 5.08048e9 | + | 1.05497e10i | 0.826556 | + | 1.71636i | ||||
\(281\) | 2.16477e9 | + | 5.51576e9i | 0.347206 | + | 0.884667i | 0.992668 | + | 0.120874i | \(0.0385698\pi\) |
−0.645462 | + | 0.763793i | \(0.723335\pi\) | |||||||
\(282\) | −2.54171e9 | + | 3.83101e8i | −0.401911 | + | 0.0605783i | ||||
\(283\) | 8.71997e8 | + | 5.94518e8i | 0.135947 | + | 0.0926871i | 0.629384 | − | 0.777094i | \(-0.283307\pi\) |
−0.493437 | + | 0.869782i | \(0.664260\pi\) | |||||||
\(284\) | −5.86726e8 | − | 1.90212e9i | −0.0901908 | − | 0.292391i | ||||
\(285\) | −1.59876e9 | − | 3.64907e8i | −0.242328 | − | 0.0553099i | ||||
\(286\) | −3.12160e10 | − | 1.22514e10i | −4.66566 | − | 1.83114i | ||||
\(287\) | 7.80932e9 | − | 5.85228e8i | 1.15103 | − | 0.0862576i | ||||
\(288\) | 2.97901e9 | + | 3.21061e9i | 0.433015 | + | 0.466679i | ||||
\(289\) | −3.19469e9 | + | 2.17811e9i | −0.457971 | + | 0.312239i | ||||
\(290\) | 9.71372e9 | + | 7.74643e9i | 1.37339 | + | 1.09524i | ||||
\(291\) | 2.54416e9 | − | 2.74195e9i | 0.354790 | − | 0.382373i | ||||
\(292\) | 2.99271e9 | − | 1.98553e10i | 0.411654 | − | 2.73115i | ||||
\(293\) | 1.33478e9 | + | 5.84807e9i | 0.181109 | + | 0.793491i | 0.981104 | + | 0.193484i | \(0.0619786\pi\) |
−0.799994 | + | 0.600008i | \(0.795164\pi\) | |||||||
\(294\) | 1.21137e9 | + | 2.09815e9i | 0.162139 | + | 0.280833i | ||||
\(295\) | 4.19313e9 | + | 2.42090e9i | 0.553668 | + | 0.319661i | ||||
\(296\) | 8.47475e9 | + | 2.61411e9i | 1.10398 | + | 0.340532i | ||||
\(297\) | −1.35717e10 | + | 1.08231e10i | −1.74425 | + | 1.39099i | ||||
\(298\) | 4.51357e8 | − | 6.02294e9i | 0.0572341 | − | 0.763736i | ||||
\(299\) | 1.32635e10 | + | 6.38738e9i | 1.65949 | + | 0.799167i | ||||
\(300\) | − | 2.02805e10i | − | 2.50377i | ||||||
\(301\) | −2.07718e8 | + | 7.72268e9i | −0.0253050 | + | 0.940810i | ||||
\(302\) | −1.66974e10 | −2.00734 | ||||||||
\(303\) | 2.49850e9 | − | 5.18819e9i | 0.296421 | − | 0.615525i | ||||
\(304\) | 6.43464e8 | + | 4.82209e7i | 0.0753407 | + | 0.00564601i | ||||
\(305\) | 4.51138e9 | + | 5.65709e9i | 0.521326 | + | 0.653723i | ||||
\(306\) | −5.24666e9 | + | 1.70092e10i | −0.598407 | + | 1.93999i | ||||
\(307\) | 5.19102e8 | − | 8.99112e8i | 0.0584386 | − | 0.101219i | −0.835326 | − | 0.549755i | \(-0.814721\pi\) |
0.893765 | + | 0.448536i | \(0.148054\pi\) | |||||||
\(308\) | −2.34606e10 | + | 1.35450e10i | −2.60697 | + | 1.50514i | ||||
\(309\) | 7.86174e9 | − | 1.79439e9i | 0.862352 | − | 0.196826i | ||||
\(310\) | −2.83507e10 | − | 4.27317e9i | −3.06985 | − | 0.462705i | ||||
\(311\) | −3.62072e9 | − | 3.35954e9i | −0.387038 | − | 0.359119i | 0.462525 | − | 0.886606i | \(-0.346944\pi\) |
−0.849563 | + | 0.527488i | \(0.823134\pi\) | |||||||
\(312\) | 2.59726e10 | − | 3.25687e10i | 2.74093 | − | 3.43702i | ||||
\(313\) | −6.71514e9 | − | 9.84930e9i | −0.699645 | − | 1.02619i | −0.997436 | − | 0.0715595i | \(-0.977202\pi\) |
0.297792 | − | 0.954631i | \(-0.403750\pi\) | |||||||
\(314\) | −9.32095e9 | + | 8.64857e9i | −0.958829 | + | 0.889664i | ||||
\(315\) | 1.65911e9 | + | 2.21393e10i | 0.168513 | + | 2.24865i | ||||
\(316\) | 1.19686e9 | − | 3.04954e9i | 0.120031 | − | 0.305835i | ||||
\(317\) | 2.45055e9 | − | 1.07366e10i | 0.242676 | − | 1.06323i | −0.695894 | − | 0.718145i | \(-0.744992\pi\) |
0.938570 | − | 0.345089i | \(-0.112151\pi\) | |||||||
\(318\) | −2.18327e10 | + | 6.73448e9i | −2.13500 | + | 0.658560i | ||||
\(319\) | −7.62119e9 | + | 1.11782e10i | −0.735970 | + | 1.07947i | ||||
\(320\) | −2.68886e9 | − | 1.78394e10i | −0.256429 | − | 1.70130i | ||||
\(321\) | 7.15884e9 | − | 2.80964e9i | 0.674253 | − | 0.264625i | ||||
\(322\) | 1.63863e10 | − | 7.89125e9i | 1.52426 | − | 0.734044i | ||||
\(323\) | −3.50394e8 | − | 7.27601e8i | −0.0321919 | − | 0.0668472i | ||||
\(324\) | −3.13068e9 | − | 7.97685e9i | −0.284092 | − | 0.723855i | ||||
\(325\) | 1.52479e10 | − | 2.29825e9i | 1.36671 | − | 0.205999i | ||||
\(326\) | −2.99308e10 | − | 2.04065e10i | −2.65002 | − | 1.80675i | ||||
\(327\) | 2.91244e9 | + | 9.44190e9i | 0.254722 | + | 0.825788i | ||||
\(328\) | 2.09165e10 | + | 4.77406e9i | 1.80715 | + | 0.412470i | ||||
\(329\) | −1.46969e9 | − | 5.76812e8i | −0.125442 | − | 0.0492323i | ||||
\(330\) | 7.61180e10 | − | 5.70426e9i | 6.41847 | − | 0.480998i | ||||
\(331\) | −8.31830e8 | − | 8.96500e8i | −0.0692983 | − | 0.0746858i | 0.697451 | − | 0.716633i | \(-0.254318\pi\) |
−0.766749 | + | 0.641947i | \(0.778127\pi\) | |||||||
\(332\) | −1.72964e10 | + | 1.17925e10i | −1.42365 | + | 0.970631i | ||||
\(333\) | 1.31470e10 | + | 1.04844e10i | 1.06918 | + | 0.852639i | ||||
\(334\) | −1.45141e10 | + | 1.56425e10i | −1.16628 | + | 1.25695i | ||||
\(335\) | 1.62122e9 | − | 1.07561e10i | 0.128725 | − | 0.854033i | ||||
\(336\) | −3.03051e9 | − | 1.32775e10i | −0.237771 | − | 1.04174i | ||||
\(337\) | 8.49478e9 | + | 1.47134e10i | 0.658616 | + | 1.14076i | 0.980974 | + | 0.194139i | \(0.0621913\pi\) |
−0.322358 | + | 0.946618i | \(0.604475\pi\) | |||||||
\(338\) | 3.90661e10 | + | 2.25548e10i | 2.99318 | + | 1.72811i | ||||
\(339\) | −3.66466e10 | − | 1.13040e10i | −2.77482 | − | 0.855919i | ||||
\(340\) | 1.76479e10 | − | 1.40737e10i | 1.32062 | − | 1.05316i | ||||
\(341\) | 2.33309e9 | − | 3.11329e10i | 0.172550 | − | 2.30252i | ||||
\(342\) | 4.16548e9 | + | 2.00599e9i | 0.304481 | + | 0.146630i | ||||
\(343\) | 1.45149e10i | 1.04866i | ||||||||
\(344\) | −6.77994e9 | + | 2.00494e10i | −0.484164 | + | 1.43175i | ||||
\(345\) | −3.35094e10 | −2.36532 | ||||||||
\(346\) | −1.24571e10 | + | 2.58674e10i | −0.869183 | + | 1.80488i | ||||
\(347\) | 1.02259e10 | + | 7.66322e8i | 0.705313 | + | 0.0528559i | 0.422557 | − | 0.906336i | \(-0.361132\pi\) |
0.282755 | + | 0.959192i | \(0.408752\pi\) | |||||||
\(348\) | −2.22628e10 | − | 2.79167e10i | −1.51797 | − | 1.90347i | ||||
\(349\) | −1.54571e7 | + | 5.01107e7i | −0.00104190 | + | 0.00337776i | −0.956092 | − | 0.293066i | \(-0.905324\pi\) |
0.955050 | + | 0.296444i | \(0.0958007\pi\) | |||||||
\(350\) | 9.52536e9 | − | 1.64984e10i | 0.634759 | − | 1.09944i | ||||
\(351\) | 3.01679e10 | − | 1.74174e10i | 1.98754 | − | 1.14751i | ||||
\(352\) | 9.01738e9 | − | 2.05816e9i | 0.587367 | − | 0.134063i | ||||
\(353\) | 2.09393e9 | + | 3.15610e8i | 0.134854 | + | 0.0203260i | 0.216122 | − | 0.976366i | \(-0.430659\pi\) |
−0.0812683 | + | 0.996692i | \(0.525897\pi\) | |||||||
\(354\) | −1.55999e10 | − | 1.44746e10i | −0.993362 | − | 0.921705i | ||||
\(355\) | −2.14798e9 | + | 2.69348e9i | −0.135244 | + | 0.169590i | ||||
\(356\) | −2.50587e10 | − | 3.67543e10i | −1.56012 | − | 2.28828i | ||||
\(357\) | −1.24946e10 | + | 1.15933e10i | −0.769219 | + | 0.713731i | ||||
\(358\) | 1.64959e9 | + | 2.20123e10i | 0.100426 | + | 1.34009i | ||||
\(359\) | 6.80493e9 | − | 1.73387e10i | 0.409681 | − | 1.04385i | −0.565951 | − | 0.824439i | \(-0.691491\pi\) |
0.975632 | − | 0.219412i | \(-0.0704138\pi\) | |||||||
\(360\) | −1.35344e10 | + | 5.92982e10i | −0.805804 | + | 3.53046i | ||||
\(361\) | 1.60286e10 | − | 4.94417e9i | 0.943771 | − | 0.291115i | ||||
\(362\) | −1.50507e10 | + | 2.20754e10i | −0.876442 | + | 1.28551i | ||||
\(363\) | 8.06641e9 | + | 5.35172e10i | 0.464573 | + | 3.08224i | ||||
\(364\) | 5.06048e10 | − | 1.98609e10i | 2.88261 | − | 1.13134i | ||||
\(365\) | −3.13106e10 | + | 1.50784e10i | −1.76408 | + | 0.849539i | ||||
\(366\) | −1.37985e10 | − | 2.86529e10i | −0.768967 | − | 1.59678i | ||||
\(367\) | −1.96169e9 | − | 4.99830e9i | −0.108135 | − | 0.275523i | 0.866556 | − | 0.499080i | \(-0.166329\pi\) |
−0.974691 | + | 0.223557i | \(0.928233\pi\) | |||||||
\(368\) | 1.30382e10 | − | 1.96519e9i | 0.710928 | − | 0.107155i | ||||
\(369\) | 3.36103e10 | + | 2.29151e10i | 1.81287 | + | 1.23599i | ||||
\(370\) | −9.61244e9 | − | 3.11628e10i | −0.512893 | − | 1.66276i | ||||
\(371\) | −1.36819e10 | − | 3.12281e9i | −0.722190 | − | 0.164835i | ||||
\(372\) | 7.67026e10 | + | 3.01035e10i | 4.00533 | + | 1.57198i | ||||
\(373\) | −5.09432e9 | + | 3.81766e8i | −0.263179 | + | 0.0197225i | −0.205666 | − | 0.978622i | \(-0.565936\pi\) |
−0.0575128 | + | 0.998345i | \(0.518317\pi\) | |||||||
\(374\) | 2.55679e10 | + | 2.75556e10i | 1.30680 | + | 1.40839i | ||||
\(375\) | 7.54334e9 | − | 5.14296e9i | 0.381451 | − | 0.260069i | ||||
\(376\) | −3.38171e9 | − | 2.69683e9i | −0.169194 | − | 0.134928i | ||||
\(377\) | 1.84663e10 | − | 1.99019e10i | 0.914142 | − | 0.985211i | ||||
\(378\) | 6.41426e9 | − | 4.25558e10i | 0.314180 | − | 2.08445i | ||||
\(379\) | −7.48565e9 | − | 3.27968e10i | −0.362805 | − | 1.58955i | −0.746041 | − | 0.665900i | \(-0.768048\pi\) |
0.383236 | − | 0.923650i | \(-0.374810\pi\) | |||||||
\(380\) | −2.93146e9 | − | 5.07743e9i | −0.140588 | − | 0.243506i | ||||
\(381\) | −3.49344e10 | − | 2.01694e10i | −1.65788 | − | 0.957179i | ||||
\(382\) | 3.41690e10 | + | 1.05397e10i | 1.60464 | + | 0.494967i | ||||
\(383\) | −7.69736e8 | + | 6.13844e8i | −0.0357723 | + | 0.0285274i | −0.641213 | − | 0.767363i | \(-0.721568\pi\) |
0.605440 | + | 0.795891i | \(0.292997\pi\) | |||||||
\(384\) | −4.95997e9 | + | 6.61862e10i | −0.228115 | + | 3.04399i | ||||
\(385\) | 4.22421e10 | + | 2.03427e10i | 1.92266 | + | 0.925903i | ||||
\(386\) | − | 3.55971e10i | − | 1.60349i | ||||||
\(387\) | −2.58548e10 | + | 3.06904e10i | −1.15265 | + | 1.36823i | ||||
\(388\) | 1.33729e10 | 0.590065 | ||||||||
\(389\) | 5.94719e9 | − | 1.23495e10i | 0.259725 | − | 0.539324i | −0.729804 | − | 0.683656i | \(-0.760389\pi\) |
0.989529 | + | 0.144332i | \(0.0461032\pi\) | |||||||
\(390\) | −1.52750e11 | − | 1.14470e10i | −6.60270 | − | 0.494804i | ||||
\(391\) | −1.02889e10 | − | 1.29018e10i | −0.440211 | − | 0.552007i | ||||
\(392\) | −1.20168e9 | + | 3.89574e9i | −0.0508913 | + | 0.164985i | ||||
\(393\) | 1.00756e10 | − | 1.74515e10i | 0.422379 | − | 0.731582i | ||||
\(394\) | −6.45152e10 | + | 3.72478e10i | −2.67718 | + | 1.54567i | ||||
\(395\) | −5.52768e9 | + | 1.26166e9i | −0.227067 | + | 0.0518267i | ||||
\(396\) | −1.39145e11 | − | 2.09728e10i | −5.65832 | − | 0.852855i | ||||
\(397\) | −1.03497e10 | − | 9.60314e9i | −0.416645 | − | 0.386590i | 0.443806 | − | 0.896123i | \(-0.353628\pi\) |
−0.860451 | + | 0.509532i | \(0.829818\pi\) | |||||||
\(398\) | 1.67001e10 | − | 2.09413e10i | 0.665560 | − | 0.834586i | ||||
\(399\) | 2.49389e9 | + | 3.65786e9i | 0.0983978 | + | 0.144323i | ||||
\(400\) | 1.01244e10 | − | 9.39406e9i | 0.395484 | − | 0.366955i | ||||
\(401\) | 2.52275e9 | + | 3.36638e10i | 0.0975657 | + | 1.30192i | 0.804206 | + | 0.594351i | \(0.202591\pi\) |
−0.706640 | + | 0.707573i | \(0.749790\pi\) | |||||||
\(402\) | −1.74666e10 | + | 4.45043e10i | −0.668814 | + | 1.70411i | ||||
\(403\) | −1.39412e10 | + | 6.10803e10i | −0.528542 | + | 2.31569i | ||||
\(404\) | 1.96731e10 | − | 6.06834e9i | 0.738494 | − | 0.227795i | ||||
\(405\) | −8.35454e9 | + | 1.22539e10i | −0.310529 | + | 0.455463i | ||||
\(406\) | −4.99911e9 | − | 3.31669e10i | −0.183987 | − | 1.22068i | ||||
\(407\) | 3.30566e10 | − | 1.29738e10i | 1.20470 | − | 0.472812i | ||||
\(408\) | −4.20713e10 | + | 2.02605e10i | −1.51826 | + | 0.731154i | ||||
\(409\) | −1.13476e10 | − | 2.35636e10i | −0.405519 | − | 0.842069i | −0.999299 | − | 0.0374413i | \(-0.988079\pi\) |
0.593780 | − | 0.804628i | \(-0.297635\pi\) | |||||||
\(410\) | −2.88221e10 | − | 7.34374e10i | −1.01997 | − | 2.59885i | ||||
\(411\) | 4.12619e10 | − | 6.21923e9i | 1.44605 | − | 0.217956i | ||||
\(412\) | 2.38207e10 | + | 1.62407e10i | 0.826732 | + | 0.563657i | ||||
\(413\) | −3.85282e9 | − | 1.24905e10i | −0.132428 | − | 0.429320i | ||||
\(414\) | 9.21048e10 | + | 2.10223e10i | 3.13531 | + | 0.715615i | ||||
\(415\) | 3.37263e10 | + | 1.32366e10i | 1.13704 | + | 0.446256i | ||||
\(416\) | −1.85090e10 | + | 1.38706e9i | −0.618031 | + | 0.0463151i | ||||
\(417\) | −2.07583e10 | − | 2.23722e10i | −0.686512 | − | 0.739884i | ||||
\(418\) | 8.06705e9 | − | 5.50002e9i | 0.264247 | − | 0.180160i | ||||
\(419\) | −3.47920e9 | − | 2.77457e9i | −0.112882 | − | 0.0900201i | 0.565422 | − | 0.824802i | \(-0.308713\pi\) |
−0.678304 | + | 0.734782i | \(0.737285\pi\) | |||||||
\(420\) | −8.41661e10 | + | 9.07095e10i | −2.70483 | + | 2.91512i | ||||
\(421\) | −9.17849e9 | + | 6.08953e10i | −0.292175 | + | 1.93845i | 0.0498339 | + | 0.998758i | \(0.484131\pi\) |
−0.342009 | + | 0.939697i | \(0.611107\pi\) | |||||||
\(422\) | 1.02587e10 | + | 4.49465e10i | 0.323478 | + | 1.41725i | ||||
\(423\) | −4.10056e9 | − | 7.10238e9i | −0.128080 | − | 0.221841i | ||||
\(424\) | −3.32961e10 | − | 1.92235e10i | −1.03022 | − | 0.594797i | ||||
\(425\) | −1.65174e10 | − | 5.09494e9i | −0.506274 | − | 0.156165i | ||||
\(426\) | 1.18384e10 | − | 9.44080e9i | 0.359463 | − | 0.286662i | ||||
\(427\) | 1.45977e9 | − | 1.94793e10i | 0.0439111 | − | 0.585953i | ||||
\(428\) | 2.47722e10 | + | 1.19296e10i | 0.738225 | + | 0.355511i | ||||
\(429\) | − | 1.66798e11i | − | 4.92450i | ||||||
\(430\) | 7.49579e10 | − | 2.09316e10i | 2.19252 | − | 0.612251i | ||||
\(431\) | −2.70950e9 | −0.0785200 | −0.0392600 | − | 0.999229i | \(-0.512500\pi\) | ||||
−0.0392600 | + | 0.999229i | \(0.512500\pi\) | |||||||
\(432\) | 1.35373e10 | − | 2.81106e10i | 0.388685 | − | 0.807113i | ||||
\(433\) | 5.59338e10 | + | 4.19166e9i | 1.59119 | + | 0.119243i | 0.840651 | − | 0.541578i | \(-0.182173\pi\) |
0.750543 | + | 0.660821i | \(0.229792\pi\) | |||||||
\(434\) | 4.82593e10 | + | 6.05152e10i | 1.36026 | + | 1.70571i | ||||
\(435\) | −1.82154e10 | + | 5.90528e10i | −0.508723 | + | 1.64924i | ||||
\(436\) | −1.76631e10 | + | 3.05935e10i | −0.488790 | + | 0.846609i | ||||
\(437\) | −3.71195e9 | + | 2.14310e9i | −0.101783 | + | 0.0587647i | ||||
\(438\) | 1.48913e11 | − | 3.39884e10i | 4.04609 | − | 0.923495i | ||||
\(439\) | 5.71093e10 | + | 8.60784e9i | 1.53762 | + | 0.231759i | 0.862541 | − | 0.505988i | \(-0.168872\pi\) |
0.675078 | + | 0.737747i | \(0.264110\pi\) | |||||||
\(440\) | 9.41582e10 | + | 8.73660e10i | 2.51216 | + | 2.33094i | ||||
\(441\) | −4.81954e9 | + | 6.04351e9i | −0.127424 | + | 0.159785i | ||||
\(442\) | −4.24936e10 | − | 6.23266e10i | −1.11336 | − | 1.63299i | ||||
\(443\) | −3.07864e9 | + | 2.85656e9i | −0.0799362 | + | 0.0741700i | −0.719129 | − | 0.694876i | \(-0.755459\pi\) |
0.639193 | + | 0.769046i | \(0.279269\pi\) | |||||||
\(444\) | 7.00399e9 | + | 9.34618e10i | 0.180225 | + | 2.40493i | ||||
\(445\) | −2.81273e10 | + | 7.16672e10i | −0.717279 | + | 1.82760i | ||||
\(446\) | −7.50954e7 | + | 3.29014e8i | −0.00189790 | + | 0.00831525i | ||||
\(447\) | 2.87073e10 | − | 8.85504e9i | 0.719056 | − | 0.221799i | ||||
\(448\) | −2.74362e10 | + | 4.02415e10i | −0.681102 | + | 0.998993i | ||||
\(449\) | −1.24086e8 | − | 8.23258e8i | −0.00305308 | − | 0.0202559i | 0.987252 | − | 0.159162i | \(-0.0508793\pi\) |
−0.990305 | + | 0.138907i | \(0.955641\pi\) | |||||||
\(450\) | 9.21170e10 | − | 3.61532e10i | 2.24641 | − | 0.881652i | ||||
\(451\) | 7.73983e10 | − | 3.72730e10i | 1.87079 | − | 0.900925i | ||||
\(452\) | −5.94902e10 | − | 1.23533e11i | −1.42525 | − | 2.95957i | ||||
\(453\) | −3.03425e10 | − | 7.73113e10i | −0.720540 | − | 1.83591i | ||||
\(454\) | 2.01757e10 | − | 3.04099e9i | 0.474903 | − | 0.0715801i | ||||
\(455\) | −7.77380e10 | − | 5.30008e10i | −1.81379 | − | 1.23662i | ||||
\(456\) | 3.57496e9 | + | 1.15897e10i | 0.0826821 | + | 0.268049i | ||||
\(457\) | −5.98128e10 | − | 1.36519e10i | −1.37129 | − | 0.312988i | −0.527452 | − | 0.849585i | \(-0.676853\pi\) |
−0.843839 | + | 0.536597i | \(0.819710\pi\) | |||||||
\(458\) | 9.47068e9 | + | 3.71697e9i | 0.215238 | + | 0.0844747i | ||||
\(459\) | −3.89392e10 | + | 2.91809e9i | −0.877276 | + | 0.0657427i | ||||
\(460\) | −8.14869e10 | − | 8.78220e10i | −1.81994 | − | 1.96143i | ||||
\(461\) | 5.41172e10 | − | 3.68965e10i | 1.19821 | − | 0.816923i | 0.211174 | − | 0.977449i | \(-0.432271\pi\) |
0.987032 | + | 0.160526i | \(0.0513190\pi\) | |||||||
\(462\) | −1.61112e11 | − | 1.28482e11i | −3.53638 | − | 2.82017i | ||||
\(463\) | −3.40721e10 | + | 3.67209e10i | −0.741437 | + | 0.799079i | −0.985319 | − | 0.170726i | \(-0.945389\pi\) |
0.243881 | + | 0.969805i | \(0.421579\pi\) | |||||||
\(464\) | 3.62423e9 | − | 2.40452e10i | 0.0781886 | − | 0.518747i | ||||
\(465\) | −3.17334e10 | − | 1.39033e11i | −0.678742 | − | 2.97376i | ||||
\(466\) | 7.58109e10 | + | 1.31308e11i | 1.60764 | + | 2.78451i | ||||
\(467\) | 6.40695e10 | + | 3.69905e10i | 1.34705 | + | 0.777720i | 0.987831 | − | 0.155534i | \(-0.0497097\pi\) |
0.359219 | + | 0.933253i | \(0.383043\pi\) | |||||||
\(468\) | 2.69838e11 | + | 8.32339e10i | 5.62495 | + | 1.73507i | ||||
\(469\) | −2.29591e10 | + | 1.83093e10i | −0.474531 | + | 0.378426i | ||||
\(470\) | −1.18858e9 | + | 1.58605e10i | −0.0243577 | + | 0.325031i | ||||
\(471\) | −5.69822e10 | − | 2.74412e10i | −1.15786 | − | 0.557596i | ||||
\(472\) | − | 3.58101e10i | − | 0.721502i | ||||||
\(473\) | 2.88288e10 | + | 7.96914e10i | 0.575946 | + | 1.59209i | ||||
\(474\) | 2.49201e10 | 0.493669 | ||||||||
\(475\) | −1.94798e9 | + | 4.04502e9i | −0.0382657 | + | 0.0794596i | ||||
\(476\) | −6.07679e10 | − | 4.55392e9i | −1.18371 | − | 0.0887070i | ||||
\(477\) | −4.54508e10 | − | 5.69935e10i | −0.877946 | − | 1.10091i | ||||
\(478\) | 3.89406e10 | − | 1.26242e11i | 0.745918 | − | 2.41821i | ||||
\(479\) | −3.13260e10 | + | 5.42582e10i | −0.595063 | + | 1.03068i | 0.398475 | + | 0.917179i | \(0.369540\pi\) |
−0.993538 | + | 0.113500i | \(0.963794\pi\) | |||||||
\(480\) | 3.65888e10 | − | 2.11245e10i | 0.689260 | − | 0.397944i | ||||
\(481\) | −6.94756e10 | + | 1.58573e10i | −1.29793 | + | 0.296244i | ||||
\(482\) | −1.28047e11 | − | 1.93000e10i | −2.37237 | − | 0.357577i | ||||
\(483\) | 6.63149e10 | + | 6.15313e10i | 1.21849 | + | 1.13060i | ||||
\(484\) | −1.20643e11 | + | 1.51282e11i | −2.19847 | + | 2.75680i | ||||
\(485\) | −1.30379e10 | − | 1.91231e10i | −0.235636 | − | 0.345615i | ||||
\(486\) | −4.38151e10 | + | 4.06545e10i | −0.785379 | + | 0.728725i | ||||
\(487\) | 2.25021e9 | + | 3.00269e10i | 0.0400043 | + | 0.533820i | 0.980822 | + | 0.194907i | \(0.0624404\pi\) |
−0.940818 | + | 0.338914i | \(0.889941\pi\) | |||||||
\(488\) | 1.95513e10 | − | 4.98160e10i | 0.344744 | − | 0.878394i | ||||
\(489\) | 4.00948e10 | − | 1.75667e11i | 0.701218 | − | 3.07224i | ||||
\(490\) | 1.43252e10 | − | 4.41872e9i | 0.248493 | − | 0.0766501i | ||||
\(491\) | 7.34592e9 | − | 1.07745e10i | 0.126392 | − | 0.185383i | −0.757827 | − | 0.652456i | \(-0.773739\pi\) |
0.884219 | + | 0.467072i | \(0.154691\pi\) | |||||||
\(492\) | 3.37920e10 | + | 2.24195e11i | 0.576704 | + | 3.82618i | ||||
\(493\) | −2.83296e10 | + | 1.11185e10i | −0.479570 | + | 0.188217i | ||||
\(494\) | −1.76527e10 | + | 8.50110e9i | −0.296417 | + | 0.142747i | ||||
\(495\) | 1.05669e11 | + | 2.19423e11i | 1.76005 | + | 3.65479i | ||||
\(496\) | 2.05009e10 | + | 5.22354e10i | 0.338724 | + | 0.863055i | ||||
\(497\) | 9.19672e9 | − | 1.38618e9i | 0.150733 | − | 0.0227193i | ||||
\(498\) | −1.31572e11 | − | 8.97040e10i | −2.13917 | − | 1.45846i | ||||
\(499\) | 1.01510e10 | + | 3.29087e10i | 0.163722 | + | 0.530773i | 0.999842 | − | 0.0177734i | \(-0.00565774\pi\) |
−0.836120 | + | 0.548546i | \(0.815182\pi\) | |||||||
\(500\) | 3.18224e10 | + | 7.26325e9i | 0.509158 | + | 0.116212i | ||||
\(501\) | −9.88021e10 | − | 3.87770e10i | −1.56825 | − | 0.615493i | ||||
\(502\) | −4.93276e10 | + | 3.69660e9i | −0.776740 | + | 0.0582086i | ||||
\(503\) | 1.45339e10 | + | 1.56638e10i | 0.227044 | + | 0.244695i | 0.836292 | − | 0.548285i | \(-0.184719\pi\) |
−0.609248 | + | 0.792980i | \(0.708528\pi\) | |||||||
\(504\) | 1.35670e11 | − | 9.24984e10i | 2.10263 | − | 1.43355i | ||||
\(505\) | −2.78579e10 | − | 2.22159e10i | −0.428334 | − | 0.341585i | ||||
\(506\) | 1.35701e11 | − | 1.46251e11i | 2.07005 | − | 2.23099i | ||||
\(507\) | −3.34413e10 | + | 2.21869e11i | −0.506118 | + | 3.35787i | ||||
\(508\) | −3.20920e10 | − | 1.40604e11i | −0.481883 | − | 2.11127i | ||||
\(509\) | −4.24251e10 | − | 7.34823e10i | −0.632050 | − | 1.09474i | −0.987132 | − | 0.159907i | \(-0.948880\pi\) |
0.355082 | − | 0.934835i | \(-0.384453\pi\) | |||||||
\(510\) | 1.48702e11 | + | 8.58529e10i | 2.19804 | + | 1.26904i | ||||
\(511\) | 8.96510e10 | + | 2.76537e10i | 1.31484 | + | 0.405573i | ||||
\(512\) | −6.82019e10 | + | 5.43892e10i | −0.992468 | + | 0.791467i | ||||
\(513\) | −7.57935e8 | + | 1.01139e10i | −0.0109437 | + | 0.146033i | ||||
\(514\) | 1.65774e10 | + | 7.98324e9i | 0.237500 | + | 0.114374i | ||||
\(515\) | − | 4.98970e10i | − | 0.709326i | ||||||
\(516\) | −2.23409e11 | + | 1.07116e10i | −3.15139 | + | 0.151096i | ||||
\(517\) | −1.73192e10 | −0.242418 | ||||||||
\(518\) | −3.81994e10 | + | 7.93218e10i | −0.530563 | + | 1.10173i | ||||
\(519\) | −1.42407e11 | − | 1.06719e10i | −1.96273 | − | 0.147087i | ||||
\(520\) | −1.60711e11 | − | 2.01525e11i | −2.19802 | − | 2.75623i | ||||
\(521\) | −3.19066e10 | + | 1.03439e11i | −0.433042 | + | 1.40389i | 0.431858 | + | 0.901942i | \(0.357858\pi\) |
−0.864900 | + | 0.501945i | \(0.832618\pi\) | |||||||
\(522\) | 8.71145e10 | − | 1.50887e11i | 1.17330 | − | 2.03221i | ||||
\(523\) | 7.00177e9 | − | 4.04247e9i | 0.0935838 | − | 0.0540307i | −0.452478 | − | 0.891776i | \(-0.649460\pi\) |
0.546062 | + | 0.837745i | \(0.316126\pi\) | |||||||
\(524\) | 7.02389e10 | − | 1.60316e10i | 0.931649 | − | 0.212643i | ||||
\(525\) | 9.36996e10 | + | 1.41229e10i | 1.23339 | + | 0.185904i | ||||
\(526\) | 1.12041e11 | + | 1.03959e11i | 1.46364 | + | 1.35806i | ||||
\(527\) | 4.37872e10 | − | 5.49074e10i | 0.567681 | − | 0.711850i | ||||
\(528\) | −8.41574e10 | − | 1.23436e11i | −1.08282 | − | 1.58821i | ||||
\(529\) | −6.79793e9 | + | 6.30755e9i | −0.0868068 | + | 0.0805450i | ||||
\(530\) | 1.05649e10 | + | 1.40979e11i | 0.133895 | + | 1.78670i | ||||
\(531\) | 2.48058e10 | − | 6.32042e10i | 0.312015 | − | 0.795001i | ||||
\(532\) | −3.52204e9 | + | 1.54311e10i | −0.0439692 | + | 0.192642i | ||||
\(533\) | −1.64732e11 | + | 5.08130e10i | −2.04112 | + | 0.629602i | ||||
\(534\) | 1.90618e11 | − | 2.79585e11i | 2.34422 | − | 3.43834i | ||||
\(535\) | −7.09235e9 | − | 4.70547e10i | −0.0865715 | − | 0.574365i | ||||
\(536\) | −7.48896e10 | + | 2.93920e10i | −0.907323 | + | 0.356098i | ||||
\(537\) | −9.89225e10 | + | 4.76386e10i | −1.18959 | + | 0.572877i | ||||
\(538\) | −1.87945e10 | − | 3.90272e10i | −0.224337 | − | 0.465841i | ||||
\(539\) | 5.96388e9 | + | 1.51957e10i | 0.0706600 | + | 0.180039i | ||||
\(540\) | −2.80321e11 | + | 4.22515e10i | −3.29670 | + | 0.496898i | ||||
\(541\) | 7.03768e10 | + | 4.79821e10i | 0.821563 | + | 0.560132i | 0.899548 | − | 0.436823i | \(-0.143896\pi\) |
−0.0779850 | + | 0.996955i | \(0.524849\pi\) | |||||||
\(542\) | −6.80085e8 | − | 2.20478e9i | −0.00788073 | − | 0.0255487i | ||||
\(543\) | −1.29563e11 | − | 2.95718e10i | −1.49032 | − | 0.340156i | ||||
\(544\) | 1.93678e10 | + | 7.60129e9i | 0.221149 | + | 0.0867945i | ||||
\(545\) | 6.09689e10 | − | 4.56899e9i | 0.691071 | − | 0.0517886i | ||||
\(546\) | 2.81271e11 | + | 3.03138e11i | 3.16486 | + | 3.41091i | ||||
\(547\) | 7.68283e10 | − | 5.23806e10i | 0.858167 | − | 0.585088i | −0.0523179 | − | 0.998630i | \(-0.516661\pi\) |
0.910485 | + | 0.413542i | \(0.135709\pi\) | |||||||
\(548\) | 1.16639e11 | + | 9.30162e10i | 1.29336 | + | 1.03142i | ||||
\(549\) | 6.90155e10 | − | 7.43811e10i | 0.759727 | − | 0.818791i | ||||
\(550\) | 3.11468e10 | − | 2.06645e11i | 0.340378 | − | 2.25826i | ||||
\(551\) | 1.75895e9 | + | 7.70646e9i | 0.0190830 | + | 0.0836082i | ||||
\(552\) | 1.23918e11 | + | 2.14632e11i | 1.33468 | + | 2.31174i | ||||
\(553\) | 1.32560e10 | + | 7.65334e9i | 0.141746 | + | 0.0818372i | ||||
\(554\) | 3.40523e10 | + | 1.05037e10i | 0.361499 | + | 0.111508i | ||||
\(555\) | 1.26821e11 | − | 1.01136e11i | 1.33665 | − | 1.06594i | ||||
\(556\) | 8.15401e9 | − | 1.08808e11i | 0.0853241 | − | 1.13857i | ||||
\(557\) | 1.77282e10 | + | 8.53746e9i | 0.184181 | + | 0.0886968i | 0.523702 | − | 0.851902i | \(-0.324551\pi\) |
−0.339521 | + | 0.940599i | \(0.610265\pi\) | |||||||
\(558\) | 4.02059e11i | 4.14718i | ||||||||
\(559\) | −3.33710e10 | − | 1.66757e11i | −0.341760 | − | 1.70779i | ||||
\(560\) | −8.42701e10 | −0.856883 | ||||||||
\(561\) | −8.11248e10 | + | 1.68457e11i | −0.819034 | + | 1.70074i | ||||
\(562\) | −1.60696e11 | − | 1.20425e10i | −1.61087 | − | 0.120718i | ||||
\(563\) | 8.34520e10 | + | 1.04646e11i | 0.830622 | + | 1.04157i | 0.998445 | + | 0.0557496i | \(0.0177549\pi\) |
−0.167823 | + | 0.985817i | \(0.553674\pi\) | |||||||
\(564\) | 1.34732e10 | − | 4.36792e10i | 0.133154 | − | 0.431676i | ||||
\(565\) | −1.18650e11 | + | 2.05508e11i | −1.16433 | + | 2.01667i | ||||
\(566\) | −2.48570e10 | + | 1.43512e10i | −0.242204 | + | 0.139837i | ||||
\(567\) | 3.90346e10 | − | 8.90940e9i | 0.377675 | − | 0.0862018i | ||||
\(568\) | 2.51954e10 | + | 3.79759e9i | 0.242063 | + | 0.0364851i | ||||
\(569\) | 5.82368e10 | + | 5.40359e10i | 0.555583 | + | 0.515505i | 0.907234 | − | 0.420626i | \(-0.138189\pi\) |
−0.351652 | + | 0.936131i | \(0.614380\pi\) | |||||||
\(570\) | 2.78066e10 | − | 3.48684e10i | 0.263420 | − | 0.330318i | ||||
\(571\) | 6.51414e10 | + | 9.55449e10i | 0.612791 | + | 0.898800i | 0.999728 | − | 0.0233063i | \(-0.00741929\pi\) |
−0.386937 | + | 0.922106i | \(0.626467\pi\) | |||||||
\(572\) | 4.37147e11 | − | 4.05613e11i | 4.08361 | − | 3.78903i | ||||
\(573\) | 1.32913e10 | + | 1.77360e11i | 0.123296 | + | 1.64527i | ||||
\(574\) | −7.78100e10 | + | 1.98257e11i | −0.716783 | + | 1.82633i | ||||
\(575\) | −2.04144e10 | + | 8.94414e10i | −0.186752 | + | 0.818214i | ||||
\(576\) | −2.41752e11 | + | 7.45706e10i | −2.19624 | + | 0.677451i | ||||
\(577\) | −3.53651e10 | + | 5.18711e10i | −0.319060 | + | 0.467975i | −0.951944 | − | 0.306272i | \(-0.900918\pi\) |
0.632884 | + | 0.774246i | \(0.281871\pi\) | |||||||
\(578\) | −1.56726e10 | − | 1.03981e11i | −0.140420 | − | 0.931627i | ||||
\(579\) | 1.64820e11 | − | 6.46871e10i | 1.46655 | − | 0.575577i | ||||
\(580\) | −1.99062e11 | + | 9.58633e10i | −1.75905 | + | 0.847111i | ||||
\(581\) | −4.24386e10 | − | 8.81247e10i | −0.372441 | − | 0.773381i | ||||
\(582\) | 3.71647e10 | + | 9.46941e10i | 0.323921 | + | 0.825337i | ||||
\(583\) | −1.52226e11 | + | 2.29444e10i | −1.31769 | + | 0.198610i | ||||
\(584\) | 2.12366e11 | + | 1.44789e11i | 1.82572 | + | 1.24475i | ||||
\(585\) | −1.44054e11 | − | 4.67013e11i | −1.22999 | − | 3.98754i | ||||
\(586\) | −1.59045e11 | − | 3.63010e10i | −1.34874 | − | 0.307842i | ||||
\(587\) | −1.16562e11 | − | 4.57473e10i | −0.981761 | − | 0.385313i | −0.180465 | − | 0.983581i | \(-0.557760\pi\) |
−0.801296 | + | 0.598269i | \(0.795856\pi\) | |||||||
\(588\) | −4.29633e10 | + | 3.21965e9i | −0.359408 | + | 0.0269339i | ||||
\(589\) | −1.24071e10 | − | 1.33717e10i | −0.103088 | − | 0.111103i | ||||
\(590\) | −1.08798e11 | + | 7.41771e10i | −0.897868 | + | 0.612156i | ||||
\(591\) | −2.89700e11 | − | 2.31028e11i | −2.37465 | − | 1.89372i | ||||
\(592\) | −4.34135e10 | + | 4.67886e10i | −0.353458 | + | 0.380937i | ||||
\(593\) | 1.72397e10 | − | 1.14378e11i | 0.139415 | − | 0.924961i | −0.804305 | − | 0.594217i | \(-0.797462\pi\) |
0.943720 | − | 0.330744i | \(-0.107300\pi\) | |||||||
\(594\) | −1.05051e11 | − | 4.60258e11i | −0.843828 | − | 3.69705i | ||||
\(595\) | 5.27335e10 | + | 9.13371e10i | 0.420745 | + | 0.728752i | ||||
\(596\) | 9.30169e10 | + | 5.37033e10i | 0.737186 | + | 0.425614i | ||||
\(597\) | 1.27309e11 | + | 3.92696e10i | 1.00222 | + | 0.309143i | ||||
\(598\) | −3.13018e11 | + | 2.49624e11i | −2.44774 | + | 1.95201i | ||||
\(599\) | 1.84211e9 | − | 2.45812e10i | 0.0143090 | − | 0.190940i | −0.985469 | − | 0.169857i | \(-0.945669\pi\) |
0.999778 | − | 0.0210831i | \(-0.00671145\pi\) | |||||||
\(600\) | 2.33891e11 | + | 1.12636e11i | 1.80471 | + | 0.869104i | ||||
\(601\) | 1.37139e11i | 1.05115i | 0.850748 | + | 0.525573i | \(0.176149\pi\) | ||||
−0.850748 | + | 0.525573i | \(0.823851\pi\) | |||||||
\(602\) | −1.86777e11 | − | 9.62171e10i | −1.42212 | − | 0.732599i | ||||
\(603\) | −1.52539e11 | −1.15375 | ||||||||
\(604\) | 1.28833e11 | − | 2.67525e11i | 0.968011 | − | 2.01009i | ||||
\(605\) | 3.33952e11 | + | 2.50262e10i | 2.49266 | + | 0.186799i | ||||
\(606\) | 9.76435e10 | + | 1.22441e11i | 0.724024 | + | 0.907897i | ||||
\(607\) | −2.37059e10 | + | 7.68527e10i | −0.174623 | + | 0.566114i | 0.825376 | + | 0.564584i | \(0.190963\pi\) |
−0.999999 | + | 0.00153047i | \(0.999513\pi\) | |||||||
\(608\) | 2.70205e9 | − | 4.68008e9i | 0.0197733 | − | 0.0342483i | ||||
\(609\) | 1.44483e11 | − | 8.34175e10i | 1.05039 | − | 0.606440i | ||||
\(610\) | −1.91849e11 | + | 4.37883e10i | −1.38561 | + | 0.316256i | ||||
\(611\) | 3.43670e10 | + | 5.18000e9i | 0.246591 | + | 0.0371676i | ||||
\(612\) | −2.32040e11 | − | 2.15301e11i | −1.65408 | − | 1.53476i | ||||
\(613\) | −9.33660e10 | + | 1.17077e11i | −0.661221 | + | 0.829145i | −0.993476 | − | 0.114044i | \(-0.963619\pi\) |
0.332254 | + | 0.943190i | \(0.392191\pi\) | |||||||
\(614\) | 1.59054e10 | + | 2.33290e10i | 0.111911 | + | 0.164143i | ||||
\(615\) | 2.87651e11 | − | 2.66901e11i | 2.01078 | − | 1.86573i | ||||
\(616\) | −2.59137e10 | − | 3.45794e11i | −0.179973 | − | 2.40157i | ||||
\(617\) | 8.35284e10 | − | 2.12827e11i | 0.576360 | − | 1.46854i | −0.283985 | − | 0.958829i | \(-0.591657\pi\) |
0.860345 | − | 0.509712i | \(-0.170248\pi\) | |||||||
\(618\) | −4.88005e10 | + | 2.13809e11i | −0.334557 | + | 1.46579i | ||||
\(619\) | 3.23354e10 | − | 9.97414e9i | 0.220250 | − | 0.0679380i | −0.182666 | − | 0.983175i | \(-0.558473\pi\) |
0.402916 | + | 0.915237i | \(0.367997\pi\) | |||||||
\(620\) | 2.87212e11 | − | 4.21263e11i | 1.94373 | − | 2.85093i | ||||
\(621\) | 3.08888e10 | + | 2.04934e11i | 0.207699 | + | 1.37799i | ||||
\(622\) | 1.25043e11 | − | 4.90757e10i | 0.835405 | − | 0.327872i | ||||
\(623\) | 1.87262e11 | − | 9.01806e10i | 1.24308 | − | 0.598634i | ||||
\(624\) | 1.30078e11 | + | 2.70109e11i | 0.857954 | + | 1.78156i | ||||
\(625\) | −6.48784e10 | − | 1.65307e11i | −0.425187 | − | 1.08336i | ||||
\(626\) | 3.20575e11 | − | 4.83189e10i | 2.08753 | − | 0.314644i | ||||
\(627\) | 4.01254e10 | + | 2.73570e10i | 0.259627 | + | 0.177010i | ||||
\(628\) | −6.66490e10 | − | 2.16071e11i | −0.428504 | − | 1.38918i | ||||
\(629\) | 7.78792e10 | + | 1.77754e10i | 0.497529 | + | 0.113558i | ||||
\(630\) | −5.62055e11 | − | 2.20590e11i | −3.56793 | − | 1.40031i | ||||
\(631\) | 9.35401e10 | − | 7.00986e9i | 0.590039 | − | 0.0442173i | 0.223635 | − | 0.974673i | \(-0.428208\pi\) |
0.366404 | + | 0.930456i | \(0.380589\pi\) | |||||||
\(632\) | 2.85225e10 | + | 3.07400e10i | 0.178780 | + | 0.192679i | ||||
\(633\) | −1.89467e11 | + | 1.29176e11i | −1.18010 | + | 0.804578i | ||||
\(634\) | 2.34161e11 | + | 1.86737e11i | 1.44930 | + | 1.15577i | ||||
\(635\) | −1.69774e11 | + | 1.82973e11i | −1.04418 | + | 1.12536i | ||||
\(636\) | 6.05562e10 | − | 4.01764e11i | 0.370110 | − | 2.45552i | ||||
\(637\) | −7.28943e9 | − | 3.19371e10i | −0.0442727 | − | 0.193971i | ||||
\(638\) | −1.83969e11 | − | 3.18644e11i | −1.11036 | − | 1.92319i | ||||
\(639\) | 4.18388e10 | + | 2.41557e10i | 0.250943 | + | 0.144882i | ||||
\(640\) | 3.92443e11 | + | 1.21053e11i | 2.33914 | + | 0.721530i | ||||
\(641\) | −3.16608e10 | + | 2.52487e10i | −0.187538 | + | 0.149557i | −0.712758 | − | 0.701410i | \(-0.752554\pi\) |
0.525220 | + | 0.850966i | \(0.323983\pi\) | |||||||
\(642\) | −1.56299e10 | + | 2.08566e11i | −0.0920058 | + | 1.22773i | ||||
\(643\) | −1.50685e11 | − | 7.25658e10i | −0.881505 | − | 0.424510i | −0.0623309 | − | 0.998056i | \(-0.519853\pi\) |
−0.819174 | + | 0.573545i | \(0.805568\pi\) | |||||||
\(644\) | 3.23429e11i | 1.88034i | ||||||||
\(645\) | 2.33130e11 | + | 3.09029e11i | 1.34697 | + | 1.78550i | ||||
\(646\) | 2.19630e10 | 0.126113 | ||||||||
\(647\) | 8.31455e10 | − | 1.72654e11i | 0.474484 | − | 0.985277i | −0.517113 | − | 0.855917i | \(-0.672993\pi\) |
0.991598 | − | 0.129360i | \(-0.0412923\pi\) | |||||||
\(648\) | 1.09383e11 | + | 8.19712e9i | 0.620368 | + | 0.0464902i | ||||
\(649\) | −8.94003e10 | − | 1.12104e11i | −0.503918 | − | 0.631894i | ||||
\(650\) | −1.23611e11 | + | 4.00737e11i | −0.692474 | + | 2.24495i | ||||
\(651\) | −1.92498e11 | + | 3.33416e11i | −1.07177 | + | 1.85636i | ||||
\(652\) | 5.57893e11 | − | 3.22099e11i | 3.08717 | − | 1.78238i | ||||
\(653\) | 4.60245e10 | − | 1.05048e10i | 0.253126 | − | 0.0577743i | −0.0940750 | − | 0.995565i | \(-0.529989\pi\) |
0.347201 | + | 0.937791i | \(0.387132\pi\) | |||||||
\(654\) | −2.65721e11 | − | 4.00509e10i | −1.45249 | − | 0.218928i | ||||
\(655\) | −9.14042e10 | − | 8.48107e10i | −0.496594 | − | 0.460771i | ||||
\(656\) | −9.62696e10 | + | 1.20718e11i | −0.519845 | + | 0.651865i | ||||
\(657\) | 2.74527e11 | + | 4.02657e11i | 1.47341 | + | 2.16109i | ||||
\(658\) | 3.14759e10 | − | 2.92054e10i | 0.167909 | − | 0.155797i | ||||
\(659\) | 1.34409e8 | + | 1.79357e9i | 0.000712668 | + | 0.00950990i | 0.997549 | − | 0.0699743i | \(-0.0222917\pi\) |
−0.996836 | + | 0.0794842i | \(0.974673\pi\) | |||||||
\(660\) | −4.95917e11 | + | 1.26358e12i | −2.61356 | + | 6.65925i | ||||
\(661\) | 3.36703e10 | − | 1.47519e11i | 0.176377 | − | 0.772757i | −0.806907 | − | 0.590678i | \(-0.798860\pi\) |
0.983284 | − | 0.182079i | \(-0.0582826\pi\) | |||||||
\(662\) | 3.17824e10 | − | 9.80357e9i | 0.165484 | − | 0.0510449i | ||||
\(663\) | 2.11362e11 | − | 3.10012e11i | 1.09389 | − | 1.60444i | ||||
\(664\) | −3.99379e10 | − | 2.64971e11i | −0.205453 | − | 1.36309i | ||||
\(665\) | 2.55001e10 | − | 1.00080e10i | 0.130393 | − | 0.0511755i | ||||
\(666\) | −4.12031e11 | + | 1.98424e11i | −2.09427 | + | 1.00855i | ||||
\(667\) | 7.00827e10 | + | 1.45528e11i | 0.354085 | + | 0.735265i | ||||
\(668\) | −1.38636e11 | − | 3.53239e11i | −0.696258 | − | 1.77404i | ||||
\(669\) | −1.65985e9 | + | 2.50182e8i | −0.00828637 | + | 0.00124897i | ||||
\(670\) | 2.44425e11 | + | 1.66646e11i | 1.21296 | + | 0.826981i | ||||
\(671\) | −6.31602e10 | − | 2.04760e11i | −0.311569 | − | 1.01008i | ||||
\(672\) | −1.11199e11 | − | 2.53804e10i | −0.545284 | − | 0.124458i | ||||
\(673\) | −8.75829e10 | − | 3.43738e10i | −0.426932 | − | 0.167559i | 0.142139 | − | 0.989847i | \(-0.454602\pi\) |
−0.569071 | + | 0.822288i | \(0.692697\pi\) | |||||||
\(674\) | −4.60759e11 | + | 3.45291e10i | −2.23272 | + | 0.167319i | ||||
\(675\) | 1.47656e11 | + | 1.59135e11i | 0.711270 | + | 0.766567i | ||||
\(676\) | −6.62799e11 | + | 4.51888e11i | −3.17391 | + | 2.16394i | ||||
\(677\) | −1.95542e11 | − | 1.55940e11i | −0.930863 | − | 0.742338i | 0.0355406 | − | 0.999368i | \(-0.488685\pi\) |
−0.966403 | + | 0.257030i | \(0.917256\pi\) | |||||||
\(678\) | 7.09409e11 | − | 7.64561e11i | 3.35721 | − | 3.61821i | ||||
\(679\) | −9.31265e9 | + | 6.17854e10i | −0.0438121 | + | 0.290674i | ||||
\(680\) | 6.42948e10 | + | 2.81694e11i | 0.300704 | + | 1.31747i | ||||
\(681\) | 5.07435e10 | + | 8.78903e10i | 0.235935 | + | 0.408651i | ||||
\(682\) | 7.35317e11 | + | 4.24535e11i | 3.39889 | + | 1.96235i | ||||
\(683\) | −2.44849e11 | − | 7.55260e10i | −1.12516 | − | 0.347067i | −0.324325 | − | 0.945946i | \(-0.605137\pi\) |
−0.800840 | + | 0.598879i | \(0.795613\pi\) | |||||||
\(684\) | −6.42798e10 | + | 5.12615e10i | −0.293664 | + | 0.234189i | ||||
\(685\) | 1.92953e10 | − | 2.57478e11i | 0.0876374 | − | 1.16944i | ||||
\(686\) | −3.55656e11 | − | 1.71275e11i | −1.60596 | − | 0.773388i | ||||
\(687\) | 5.06051e10i | 0.227179i | ||||||||
\(688\) | −1.08832e11 | − | 1.06568e11i | −0.485739 | − | 0.475635i | ||||
\(689\) | 3.08929e11 | 1.37082 | ||||||||
\(690\) | 3.95410e11 | − | 8.21076e11i | 1.74442 | − | 3.62232i | ||||
\(691\) | 3.05855e11 | + | 2.29207e10i | 1.34154 | + | 0.100534i | 0.726067 | − | 0.687624i | \(-0.241346\pi\) |
0.615472 | + | 0.788158i | \(0.288965\pi\) | |||||||
\(692\) | −3.18331e11 | − | 3.99174e11i | −1.38821 | − | 1.74076i | ||||
\(693\) | 1.93796e11 | − | 6.28271e11i | 0.840256 | − | 2.72404i | ||||
\(694\) | −1.39442e11 | + | 2.41521e11i | −0.601112 | + | 1.04116i | ||||
\(695\) | −1.63543e11 | + | 9.44218e10i | −0.700960 | + | 0.404700i | ||||
\(696\) | 4.45603e11 | − | 1.01706e11i | 1.89894 | − | 0.433420i | ||||
\(697\) | 1.91084e11 | + | 2.88013e10i | 0.809643 | + | 0.122034i | ||||
\(698\) | −1.04546e9 | − | 9.70048e8i | −0.00440440 | − | 0.00408669i | ||||
\(699\) | −4.70214e11 | + | 5.89629e11i | −1.96964 | + | 2.46985i | ||||
\(700\) | 1.90842e11 | + | 2.79913e11i | 0.794842 | + | 1.16582i | ||||
\(701\) | −2.01651e11 | + | 1.87105e11i | −0.835080 | + | 0.774841i | −0.976593 | − | 0.215096i | \(-0.930994\pi\) |
0.141513 | + | 0.989936i | \(0.454803\pi\) | |||||||
\(702\) | 7.07973e10 | + | 9.44725e11i | 0.291520 | + | 3.89006i | ||||
\(703\) | 7.58021e9 | − | 1.93141e10i | 0.0310356 | − | 0.0790773i | ||||
\(704\) | −1.18886e11 | + | 5.20875e11i | −0.483995 | + | 2.12052i | ||||
\(705\) | −7.55964e10 | + | 2.33184e10i | −0.306016 | + | 0.0943935i | ||||
\(706\) | −3.24417e10 | + | 4.75832e10i | −0.130582 | + | 0.191529i | ||||
\(707\) | 1.43369e10 | + | 9.51190e10i | 0.0573822 | + | 0.380706i | ||||
\(708\) | 3.52276e11 | − | 1.38258e11i | 1.40201 | − | 0.550247i | ||||
\(709\) | 6.37391e10 | − | 3.06951e10i | 0.252244 | − | 0.121474i | −0.303490 | − | 0.952835i | \(-0.598152\pi\) |
0.555734 | + | 0.831360i | \(0.312437\pi\) | |||||||
\(710\) | −4.06520e10 | − | 8.44147e10i | −0.159974 | − | 0.332189i | ||||
\(711\) | 2.90481e10 | + | 7.40133e10i | 0.113668 | + | 0.289622i | ||||
\(712\) | 5.63054e11 | − | 8.48667e10i | 2.19094 | − | 0.330231i | ||||
\(713\) | −3.07973e11 | − | 2.09972e11i | −1.19166 | − | 0.812463i | ||||
\(714\) | −1.36633e11 | − | 4.42955e11i | −0.525732 | − | 1.70438i | ||||
\(715\) | −1.00622e12 | − | 2.29663e11i | −3.85006 | − | 0.878752i | ||||
\(716\) | −3.65408e11 | − | 1.43412e11i | −1.39036 | − | 0.545675i | ||||
\(717\) | 6.55284e11 | − | 4.91067e10i | 2.47943 | − | 0.185808i | ||||
\(718\) | 3.44550e11 | + | 3.71336e11i | 1.29645 | + | 1.39724i | ||||
\(719\) | 2.11189e11 | − | 1.43986e11i | 0.790232 | − | 0.538771i | −0.0996170 | − | 0.995026i | \(-0.531762\pi\) |
0.889849 | + | 0.456255i | \(0.150809\pi\) | |||||||
\(720\) | −3.42235e11 | − | 2.72923e11i | −1.27349 | − | 1.01557i | ||||
\(721\) | −9.16230e10 | + | 9.87461e10i | −0.339050 | + | 0.365409i | ||||
\(722\) | −6.79906e10 | + | 4.51088e11i | −0.250207 | + | 1.66002i | ||||
\(723\) | −1.43326e11 | − | 6.27951e11i | −0.524531 | − | 2.29812i | ||||
\(724\) | −2.37563e11 | − | 4.11471e11i | −0.864619 | − | 1.49756i | ||||
\(725\) | 1.46523e11 | + | 8.45954e10i | 0.530341 | + | 0.306193i | ||||
\(726\) | −1.40651e12 | − | 4.33850e11i | −5.06286 | − | 1.56169i | ||||
\(727\) | −5.57377e10 | + | 4.44494e10i | −0.199532 | + | 0.159121i | −0.718159 | − | 0.695879i | \(-0.755015\pi\) |
0.518627 | + | 0.855001i | \(0.326443\pi\) | |||||||
\(728\) | −5.20022e10 | + | 6.93921e11i | −0.185138 | + | 2.47050i | ||||
\(729\) | −3.72596e11 | − | 1.79433e11i | −1.31925 | − | 0.635318i | ||||
\(730\) | − | 9.45124e11i | − | 3.32811i | ||||||
\(731\) | −4.74017e10 | + | 1.84646e11i | −0.166006 | + | 0.646651i | ||||
\(732\) | 5.65542e11 | 1.96979 | ||||||||
\(733\) | 9.24050e10 | − | 1.91881e11i | 0.320096 | − | 0.664685i | −0.677385 | − | 0.735629i | \(-0.736887\pi\) |
0.997480 | + | 0.0709436i | \(0.0226010\pi\) | |||||||
\(734\) | 1.45621e11 | + | 1.09128e10i | 0.501694 | + | 0.0375968i | ||||
\(735\) | 4.64910e10 | + | 5.82979e10i | 0.159301 | + | 0.199758i | ||||
\(736\) | 3.25491e10 | − | 1.05522e11i | 0.110925 | − | 0.359609i | ||||
\(737\) | −1.61066e11 | + | 2.78975e11i | −0.545927 | + | 0.945574i | ||||
\(738\) | −9.58087e11 | + | 5.53152e11i | −3.22983 | + | 1.86474i | ||||
\(739\) | 4.04014e11 | − | 9.22135e10i | 1.35462 | − | 0.309184i | 0.517259 | − | 0.855829i | \(-0.326953\pi\) |
0.837364 | + | 0.546645i | \(0.184095\pi\) | |||||||
\(740\) | 5.73457e11 | + | 8.64348e10i | 1.91238 | + | 0.288245i | ||||
\(741\) | −7.14399e10 | − | 6.62865e10i | −0.236956 | − | 0.219863i | ||||
\(742\) | 2.37964e11 | − | 2.98397e11i | 0.785047 | − | 0.984418i | ||||
\(743\) | −1.40456e11 | − | 2.06011e11i | −0.460877 | − | 0.675982i | 0.523506 | − | 0.852022i | \(-0.324624\pi\) |
−0.984383 | + | 0.176040i | \(0.943671\pi\) | |||||||
\(744\) | −7.73177e11 | + | 7.17403e11i | −2.52341 | + | 2.34138i | ||||
\(745\) | −1.38916e10 | − | 1.85371e11i | −0.0450950 | − | 0.601751i | ||||
\(746\) | 5.07584e10 | − | 1.29330e11i | 0.163890 | − | 0.417585i | ||||
\(747\) | 1.13057e11 | − | 4.95334e11i | 0.363090 | − | 1.59080i | ||||
\(748\) | −6.38772e11 | + | 1.97035e11i | −2.04051 | + | 0.629415i | ||||
\(749\) | −7.23680e10 | + | 1.06144e11i | −0.229942 | + | 0.337264i | ||||
\(750\) | 3.70062e10 | + | 2.45520e11i | 0.116958 | + | 0.775966i | ||||
\(751\) | 4.04342e11 | − | 1.58692e11i | 1.27113 | − | 0.498880i | 0.368629 | − | 0.929576i | \(-0.379827\pi\) |
0.902497 | + | 0.430696i | \(0.141732\pi\) | |||||||
\(752\) | 2.80463e10 | − | 1.35064e10i | 0.0877010 | − | 0.0422346i | ||||
\(753\) | −1.06754e11 | − | 2.21677e11i | −0.332051 | − | 0.689510i | ||||
\(754\) | 2.69753e11 | + | 6.87319e11i | 0.834604 | + | 2.12654i | ||||
\(755\) | −5.08163e11 | + | 7.65932e10i | −1.56392 | + | 0.235723i | ||||
\(756\) | 6.32338e11 | + | 4.31121e11i | 1.93581 | + | 1.31981i | ||||
\(757\) | 1.36518e11 | + | 4.42580e11i | 0.415725 | + | 1.34775i | 0.885368 | + | 0.464891i | \(0.153906\pi\) |
−0.469643 | + | 0.882856i | \(0.655617\pi\) | |||||||
\(758\) | 8.91947e11 | + | 2.03581e11i | 2.70185 | + | 0.616681i | ||||
\(759\) | 9.23761e11 | + | 3.62549e11i | 2.78351 | + | 1.09245i | ||||
\(760\) | 7.48380e10 | − | 5.60834e9i | 0.224320 | − | 0.0168105i | ||||
\(761\) | 1.12005e11 | + | 1.20713e11i | 0.333965 | + | 0.359928i | 0.877600 | − | 0.479393i | \(-0.159143\pi\) |
−0.543636 | + | 0.839321i | \(0.682953\pi\) | |||||||
\(762\) | 9.06434e11 | − | 6.17997e11i | 2.68854 | − | 1.83302i | ||||
\(763\) | −1.29047e11 | − | 1.02912e11i | −0.380759 | − | 0.303645i | ||||
\(764\) | −4.32508e11 | + | 4.66133e11i | −1.26946 | + | 1.36816i | ||||
\(765\) | −8.16514e10 | + | 5.41722e11i | −0.238406 | + | 1.58172i | ||||
\(766\) | −5.95809e9 | − | 2.61041e10i | −0.0173058 | − | 0.0758217i | ||||
\(767\) | 1.43871e11 | + | 2.49191e11i | 0.415710 | + | 0.720031i | ||||
\(768\) | −9.16828e11 | − | 5.29331e11i | −2.63538 | − | 1.52154i | ||||
\(769\) | 1.31260e10 | + | 4.04884e9i | 0.0375343 | + | 0.0115778i | 0.313465 | − | 0.949600i | \(-0.398510\pi\) |
−0.275931 | + | 0.961177i | \(0.588986\pi\) | |||||||
\(770\) | −9.96910e11 | + | 7.95009e11i | −2.83591 | + | 2.26157i | ||||
\(771\) | −6.83921e9 | + | 9.12629e10i | −0.0193548 | + | 0.258272i | ||||
\(772\) | 5.70336e11 | + | 2.74659e11i | 1.60569 | + | 0.773260i | ||||
\(773\) | 1.96763e11i | 0.551093i | 0.961288 | + | 0.275546i | \(0.0888588\pi\) | ||||
−0.961288 | + | 0.275546i | \(0.911141\pi\) | |||||||
\(774\) | −4.46917e11 | − | 9.95663e11i | −1.24527 | − | 2.77427i | ||||
\(775\) | −3.90432e11 | −1.08228 | ||||||||
\(776\) | −7.42720e10 | + | 1.54227e11i | −0.204823 | + | 0.425319i | ||||
\(777\) | −4.36688e11 | − | 3.27252e10i | −1.19808 | − | 0.0897839i | ||||
\(778\) | 2.32421e11 | + | 2.91447e11i | 0.634391 | + | 0.795501i | ||||
\(779\) | 1.47944e10 | − | 4.79623e10i | 0.0401743 | − | 0.130242i | ||||
\(780\) | 1.36199e12 | − | 2.35903e12i | 3.67955 | − | 6.37316i | ||||
\(781\) | 8.83556e10 | − | 5.10121e10i | 0.237481 | − | 0.137110i | ||||
\(782\) | 4.37541e11 | − | 9.98658e10i | 1.17001 | − | 0.267048i | ||||
\(783\) | 3.77941e11 | + | 5.69655e10i | 1.00549 | + | 0.151553i | ||||
\(784\) | −2.15082e10 | − | 1.99567e10i | −0.0569297 | − | 0.0528231i | ||||
\(785\) | −2.43999e11 | + | 3.05965e11i | −0.642553 | + | 0.805736i | ||||
\(786\) | 3.08721e11 | + | 4.52810e11i | 0.808864 | + | 1.18639i | ||||
\(787\) | −2.92199e11 | + | 2.71121e11i | −0.761693 | + | 0.706748i | −0.962019 | − | 0.272981i | \(-0.911990\pi\) |
0.200326 | + | 0.979729i | \(0.435800\pi\) | |||||||
\(788\) | −9.89996e10 | − | 1.32106e12i | −0.256761 | − | 3.42623i | ||||
\(789\) | −2.77744e11 | + | 7.07681e11i | −0.716700 | + | 1.82612i | ||||
\(790\) | 3.43122e10 | − | 1.50332e11i | 0.0880929 | − | 0.385960i | ||||
\(791\) | 6.12171e11 | − | 1.88830e11i | 1.56375 | − | 0.482353i | ||||
\(792\) | 1.01467e12 | − | 1.48825e12i | 2.57885 | − | 3.78248i | ||||
\(793\) | 6.40891e10 | + | 4.25203e11i | 0.162066 | + | 1.07524i | ||||
\(794\) | 3.57431e11 | − | 1.40281e11i | 0.899312 | − | 0.352954i | ||||
\(795\) | −6.33557e11 | + | 3.05105e11i | −1.58605 | + | 0.763802i | ||||
\(796\) | 2.06667e11 | + | 4.29148e11i | 0.514776 | + | 1.06894i | ||||
\(797\) | 1.68560e11 | + | 4.29485e11i | 0.417755 | + | 1.06442i | 0.972603 | + | 0.232471i | \(0.0746812\pi\) |
−0.554848 | + | 0.831952i | \(0.687224\pi\) | |||||||
\(798\) | −1.19056e11 | + | 1.79448e10i | −0.293589 | + | 0.0442514i | ||||
\(799\) | −3.21895e10 | − | 2.19465e10i | −0.0789819 | − | 0.0538490i | ||||
\(800\) | −3.40940e10 | − | 1.10530e11i | −0.0832374 | − | 0.269849i | ||||
\(801\) | 1.05257e12 | + | 2.40242e11i | 2.55694 | + | 0.583604i | ||||
\(802\) | −8.54628e11 | − | 3.35417e11i | −2.06576 | − | 0.810751i | ||||
\(803\) | 1.02628e12 | − | 7.69094e10i | 2.46834 | − | 0.184977i | ||||
\(804\) | −5.78278e11 | − | 6.23236e11i | −1.38392 | − | 1.49152i | ||||
\(805\) | 4.62499e11 | − | 3.15327e11i | 1.10136 | − | 0.750891i | ||||
\(806\) | −1.33214e12 | − | 1.06234e12i | −3.15652 | − | 2.51724i | ||||
\(807\) | 1.46548e11 | − | 1.57941e11i | 0.345531 | − | 0.372393i | ||||
\(808\) | −3.92774e10 | + | 2.60589e11i | −0.0921504 | + | 0.611378i | ||||
\(809\) | −7.22352e10 | − | 3.16483e11i | −0.168638 | − | 0.738850i | −0.986544 | − | 0.163498i | \(-0.947722\pi\) |
0.817906 | − | 0.575352i | \(-0.195135\pi\) | |||||||
\(810\) | −2.01672e11 | − | 3.49306e11i | −0.468495 | − | 0.811457i | ||||
\(811\) | 3.59569e11 | + | 2.07597e11i | 0.831188 | + | 0.479887i | 0.854259 | − | 0.519847i | \(-0.174011\pi\) |
−0.0230714 | + | 0.999734i | \(0.507345\pi\) | |||||||
\(812\) | 5.69972e11 | + | 1.75813e11i | 1.31108 | + | 0.404415i | ||||
\(813\) | 8.97263e9 | − | 7.15543e9i | 0.0205380 | − | 0.0163785i | ||||
\(814\) | −7.21723e10 | + | 9.63072e11i | −0.164389 | + | 2.19362i | ||||
\(815\) | −1.00451e12 | − | 4.83749e11i | −2.27680 | − | 1.09645i | ||||
\(816\) | − | 3.36061e11i | − | 0.757980i | ||||||
\(817\) | 4.55887e10 | + | 1.93224e10i | 0.102322 | + | 0.0433684i | ||||
\(818\) | 7.11277e11 | 1.58864 | ||||||||
\(819\) | −5.72465e11 | + | 1.18874e12i | −1.27237 | + | 2.64210i | ||||
\(820\) | 1.39900e12 | + | 1.04840e11i | 3.09429 | + | 0.231885i | ||||
\(821\) | −3.52835e11 | − | 4.42441e11i | −0.776602 | − | 0.973829i | 0.223397 | − | 0.974728i | \(-0.428285\pi\) |
−1.00000 | 0.000898866i | \(0.999714\pi\) | ||||||||
\(822\) | −3.34500e11 | + | 1.08442e12i | −0.732671 | + | 2.37526i | ||||
\(823\) | 2.29391e11 | − | 3.97318e11i | 0.500009 | − | 0.866041i | −0.499991 | − | 0.866031i | \(-0.666663\pi\) |
1.00000 | 1.03052e-5i | \(-3.28025e-6\pi\) | ||||||||
\(824\) | −3.19598e11 | + | 1.84520e11i | −0.693258 | + | 0.400253i | ||||
\(825\) | 1.01340e12 | − | 2.31302e11i | 2.18758 | − | 0.499301i | ||||
\(826\) | 3.51518e11 | + | 5.29828e10i | 0.755139 | + | 0.113819i | ||||
\(827\) | 3.56661e11 | + | 3.30933e11i | 0.762490 | + | 0.707487i | 0.962193 | − | 0.272369i | \(-0.0878073\pi\) |
−0.199703 | + | 0.979856i | \(0.563998\pi\) | |||||||
\(828\) | −1.04748e12 | + | 1.31350e12i | −2.22856 | + | 2.79453i | ||||
\(829\) | −2.36636e9 | − | 3.47081e9i | −0.00501029 | − | 0.00734874i | 0.823725 | − | 0.566989i | \(-0.191892\pi\) |
−0.828736 | + | 0.559640i | \(0.810939\pi\) | |||||||
\(830\) | −7.22304e11 | + | 6.70200e11i | −1.52198 | + | 1.41219i | ||||
\(831\) | 1.32459e10 | + | 1.76755e11i | 0.0277766 | + | 0.370652i | ||||
\(832\) | 3.91698e11 | − | 9.98031e11i | 0.817445 | − | 2.08282i | ||||
\(833\) | −8.17114e9 | + | 3.58001e10i | −0.0169708 | + | 0.0743540i | ||||
\(834\) | 7.93131e11 | − | 2.44648e11i | 1.63938 | − | 0.505683i | ||||
\(835\) | −3.69964e11 | + | 5.42637e11i | −0.761050 | + | 1.11626i | ||||
\(836\) | 2.58777e10 | + | 1.71687e11i | 0.0529786 | + | 0.351490i | ||||
\(837\) | −8.21035e11 | + | 3.22233e11i | −1.67286 | + | 0.656550i | ||||
\(838\) | 1.09039e11 | − | 5.25106e10i | 0.221110 | − | 0.106481i | ||||
\(839\) | −1.61051e11 | − | 3.34427e11i | −0.325025 | − | 0.674921i | 0.672871 | − | 0.739760i | \(-0.265061\pi\) |
−0.997896 | + | 0.0648387i | \(0.979347\pi\) | |||||||
\(840\) | −5.78684e11 | − | 1.47446e12i | −1.16232 | − | 2.96153i | ||||
\(841\) | −2.00101e11 | + | 3.01604e10i | −0.400006 | + | 0.0602912i | ||||
\(842\) | −1.38381e12 | − | 9.43463e11i | −2.75313 | − | 1.87705i | ||||
\(843\) | −2.36259e11 | − | 7.65932e11i | −0.467818 | − | 1.51663i | ||||
\(844\) | −7.99287e11 | − | 1.82432e11i | −1.57519 | − | 0.359527i | ||||
\(845\) | 1.29239e12 | + | 5.07225e11i | 2.53493 | + | 0.994888i | ||||
\(846\) | 2.22415e11 | − | 1.66677e10i | 0.434194 | − | 0.0325383i | ||||
\(847\) | −6.14935e11 | − | 6.62743e11i | −1.19480 | − | 1.28769i | ||||
\(848\) | 2.28618e11 | − | 1.55869e11i | 0.442106 | − | 0.301423i | ||||
\(849\) | −1.11618e11 | − | 8.90125e10i | −0.214834 | − | 0.171325i | ||||
\(850\) | 3.19745e11 | − | 3.44603e11i | 0.612531 | − | 0.660152i | ||||
\(851\) | 6.31898e10 | − | 4.19237e11i | 0.120484 | − | 0.799358i | ||||
\(852\) | 5.99180e10 | + | 2.62518e11i | 0.113710 | + | 0.498196i | ||||
\(853\) | −7.10249e10 | − | 1.23019e11i | −0.134157 | − | 0.232367i | 0.791118 | − | 0.611664i | \(-0.209499\pi\) |
−0.925275 | + | 0.379296i | \(0.876166\pi\) | |||||||
\(854\) | 4.60075e11 | + | 2.65624e11i | 0.864962 | + | 0.499386i | ||||
\(855\) | 1.35973e11 | + | 4.19420e10i | 0.254441 | + | 0.0784847i | ||||
\(856\) | −2.75164e11 | + | 2.19436e11i | −0.512504 | + | 0.408708i | ||||
\(857\) | 3.56699e10 | − | 4.75982e11i | 0.0661269 | − | 0.882403i | −0.861228 | − | 0.508219i | \(-0.830304\pi\) |
0.927355 | − | 0.374183i | \(-0.122077\pi\) | |||||||
\(858\) | 4.08703e12 | + | 1.96821e12i | 7.54152 | + | 3.63181i | ||||
\(859\) | − | 3.37886e11i | − | 0.620579i | −0.950642 | − | 0.310290i | \(-0.899574\pi\) | ||
0.950642 | − | 0.310290i | \(-0.100426\pi\) | |||||||
\(860\) | −2.42992e11 | + | 1.36248e12i | −0.444221 | + | 2.49078i | ||||
\(861\) | −1.05935e12 | −1.92765 | ||||||||
\(862\) | 3.19721e10 | − | 6.63907e10i | 0.0579084 | − | 0.120248i | ||||
\(863\) | −9.12042e11 | − | 6.83481e10i | −1.64426 | − | 0.123221i | −0.779838 | − | 0.625981i | \(-0.784699\pi\) |
−0.864426 | + | 0.502760i | \(0.832318\pi\) | |||||||
\(864\) | −1.62919e11 | − | 2.04294e11i | −0.292359 | − | 0.366607i | ||||
\(865\) | −2.60458e11 | + | 8.44383e11i | −0.465235 | + | 1.50826i | ||||
\(866\) | −7.62726e11 | + | 1.32108e12i | −1.35612 | + | 2.34886i | ||||
\(867\) | 4.52967e11 | − | 2.61521e11i | 0.801660 | − | 0.462838i | ||||
\(868\) | −1.34193e12 | + | 3.06287e11i | −2.36402 | + | 0.539573i | ||||
\(869\) | 1.66033e11 | + | 2.50255e10i | 0.291150 | + | 0.0438837i | ||||
\(870\) | −1.23202e12 | − | 1.14315e12i | −2.15051 | − | 1.99538i | ||||
\(871\) | 4.03048e11 | − | 5.05406e11i | 0.700299 | − | 0.878148i | ||||
\(872\) | −2.54729e11 | − | 3.73619e11i | −0.440567 | − | 0.646194i | ||||
\(873\) | −2.37923e11 | + | 2.20760e11i | −0.409618 | + | 0.380070i | ||||
\(874\) | −8.71114e9 | − | 1.16242e11i | −0.0149290 | − | 0.199213i | ||||
\(875\) | −5.57180e10 | + | 1.41967e11i | −0.0950525 | + | 0.242190i | ||||
\(876\) | −6.04418e11 | + | 2.64813e12i | −1.02641 | + | 4.49700i | ||||
\(877\) | −6.67847e10 | + | 2.06004e10i | −0.112896 | + | 0.0348238i | −0.350688 | − | 0.936492i | \(-0.614052\pi\) |
0.237792 | + | 0.971316i | \(0.423576\pi\) | |||||||
\(878\) | −8.84805e11 | + | 1.29777e12i | −1.48891 | + | 2.18383i | ||||
\(879\) | −1.20938e11 | − | 8.02369e11i | −0.202584 | − | 1.34406i | ||||
\(880\) | −8.60511e11 | + | 3.37726e11i | −1.43491 | + | 0.563162i | ||||
\(881\) | 7.63154e11 | − | 3.67516e11i | 1.26680 | − | 0.610060i | 0.324837 | − | 0.945770i | \(-0.394691\pi\) |
0.941965 | + | 0.335711i | \(0.108976\pi\) | |||||||
\(882\) | −9.12130e10 | − | 1.89406e11i | −0.150724 | − | 0.312982i | ||||
\(883\) | −3.42461e11 | − | 8.72577e11i | −0.563337 | − | 1.43536i | −0.874510 | − | 0.485007i | \(-0.838817\pi\) |
0.311173 | − | 0.950353i | \(-0.399278\pi\) | |||||||
\(884\) | 1.32647e12 | − | 1.99933e11i | 2.17214 | − | 0.327397i | ||||
\(885\) | −5.41159e11 | − | 3.68956e11i | −0.882169 | − | 0.601452i | ||||
\(886\) | −3.36661e10 | − | 1.09143e11i | −0.0546334 | − | 0.177117i | ||||
\(887\) | −5.61863e11 | − | 1.28242e11i | −0.907686 | − | 0.207173i | −0.256903 | − | 0.966437i | \(-0.582702\pi\) |
−0.650783 | + | 0.759264i | \(0.725559\pi\) | |||||||
\(888\) | −1.11678e12 | − | 4.38302e11i | −1.79603 | − | 0.704891i | ||||
\(889\) | 6.71965e11 | − | 5.03568e10i | 1.07582 | − | 0.0806215i | ||||
\(890\) | −1.42415e12 | − | 1.53487e12i | −2.26984 | − | 2.44631i | ||||
\(891\) | 3.62890e11 | − | 2.47414e11i | 0.575791 | − | 0.392567i | ||||
\(892\) | −4.69204e9 | − | 3.74178e9i | −0.00741144 | − | 0.00591043i | ||||
\(893\) | −6.88275e9 | + | 7.41785e9i | −0.0108232 | + | 0.0116647i | ||||
\(894\) | −1.21772e11 | + | 8.07902e11i | −0.190632 | + | 1.26476i | ||||
\(895\) | 1.51177e11 | + | 6.62349e11i | 0.235610 | + | 1.03227i | ||||
\(896\) | −5.54361e11 | − | 9.60182e11i | −0.860124 | − | 1.48978i | ||||
\(897\) | −1.72461e12 | − | 9.95706e11i | −2.66392 | − | 1.53802i | ||||
\(898\) | 2.16364e10 | + | 6.67395e9i | 0.0332721 | + | 0.0102631i | ||||
\(899\) | −5.37440e11 | + | 4.28594e11i | −0.822795 | + | 0.656157i | ||||
\(900\) | −1.31508e11 | + | 1.75485e12i | −0.200438 | + | 2.67466i | ||||
\(901\) | −3.12002e11 | − | 1.50252e11i | −0.473433 | − | 0.227993i | ||||
\(902\) | 2.33630e12i | 3.52942i | ||||||||
\(903\) | 1.06088e11 | − | 1.03965e12i | 0.159558 | − | 1.56364i | ||||
\(904\) | 1.75508e12 | 2.62799 | ||||||||
\(905\) | −3.56787e11 | + | 7.40876e11i | −0.531881 | + | 1.10446i | ||||
\(906\) | 2.25239e12 | + | 1.68793e11i | 3.34296 | + | 0.250520i | ||||
\(907\) | 2.37793e11 | + | 2.98183e11i | 0.351374 | + | 0.440609i | 0.925838 | − | 0.377921i | \(-0.123361\pi\) |
−0.574464 | + | 0.818530i | \(0.694789\pi\) | |||||||
\(908\) | −1.06948e11 | + | 3.46718e11i | −0.157337 | + | 0.510074i | ||||
\(909\) | −2.49835e11 | + | 4.32727e11i | −0.365930 | + | 0.633809i | ||||
\(910\) | 2.21598e12 | − | 1.27940e12i | 3.23147 | − | 1.86569i | ||||
\(911\) | 1.11554e12 | − | 2.54614e11i | 1.61961 | − | 0.369666i | 0.685901 | − | 0.727695i | \(-0.259408\pi\) |
0.933710 | + | 0.358029i | \(0.116551\pi\) | |||||||
\(912\) | −8.63126e10 | − | 1.30095e10i | −0.124766 | − | 0.0188054i | ||||
\(913\) | −7.86529e11 | − | 7.29793e11i | −1.13196 | − | 1.05031i | ||||
\(914\) | 1.04030e12 | − | 1.30450e12i | 1.49064 | − | 1.86921i | ||||
\(915\) | −5.51375e11 | − | 8.08718e11i | −0.786616 | − | 1.15375i | ||||
\(916\) | −1.32627e11 | + | 1.23060e11i | −0.188386 | + | 0.174797i | ||||
\(917\) | 2.51558e10 | + | 3.35680e11i | 0.0355762 | + | 0.474732i | ||||
\(918\) | 3.87980e11 | − | 9.88556e11i | 0.546309 | − | 1.39197i | ||||
\(919\) | −2.86093e11 | + | 1.25346e12i | −0.401093 | + | 1.75730i | 0.221893 | + | 0.975071i | \(0.428776\pi\) |
−0.622986 | + | 0.782233i | \(0.714081\pi\) | |||||||
\(920\) | 1.46540e12 | − | 4.52017e11i | 2.04553 | − | 0.630963i | ||||
\(921\) | −7.91134e10 | + | 1.16038e11i | −0.109954 | + | 0.161273i | ||||
\(922\) | 2.65489e11 | + | 1.76140e12i | 0.367386 | + | 2.43745i | ||||
\(923\) | −1.90584e11 | + | 7.47987e10i | −0.262591 | + | 0.103059i | ||||
\(924\) | 3.30165e12 | − | 1.58999e12i | 4.52942 | − | 2.18125i | ||||
\(925\) | −1.92686e11 | − | 4.00116e11i | −0.263198 | − | 0.546537i | ||||
\(926\) | −4.97720e11 | − | 1.26817e12i | −0.676926 | − | 1.72478i | ||||
\(927\) | −6.91902e11 | + | 1.04288e11i | −0.936970 | + | 0.141226i | ||||
\(928\) | −1.68265e11 | − | 1.14721e11i | −0.226883 | − | 0.154686i | ||||
\(929\) | 2.75732e11 | + | 8.93902e11i | 0.370190 | + | 1.20013i | 0.928764 | + | 0.370672i | \(0.120873\pi\) |
−0.558574 | + | 0.829455i | \(0.688651\pi\) | |||||||
\(930\) | 3.78117e12 | + | 8.63026e11i | 5.05468 | + | 1.15370i | ||||
\(931\) | 8.87843e9 | + | 3.48453e9i | 0.0118178 | + | 0.00463816i | ||||
\(932\) | −2.68876e12 | + | 2.01495e11i | −3.56360 | + | 0.267055i | ||||
\(933\) | 4.54456e11 | + | 4.89787e11i | 0.599743 | + | 0.646369i | ||||
\(934\) | −1.66239e12 | + | 1.13340e12i | −2.18447 | + | 1.48935i | ||||
\(935\) | 9.04528e11 | + | 7.21337e11i | 1.18352 | + | 0.943826i | ||||
\(936\) | −2.45857e12 | + | 2.64971e12i | −3.20317 | + | 3.45219i | ||||
\(937\) | −8.38297e10 | + | 5.56174e11i | −0.108753 | + | 0.721526i | 0.866295 | + | 0.499532i | \(0.166495\pi\) |
−0.975048 | + | 0.221994i | \(0.928743\pi\) | |||||||
\(938\) | −1.77714e11 | − | 7.78615e11i | −0.229567 | − | 1.00580i | ||||
\(939\) | 8.06272e11 | + | 1.39650e12i | 1.03710 | + | 1.79630i | ||||
\(940\) | −2.44946e11 | − | 1.41420e11i | −0.313732 | − | 0.181133i | ||||
\(941\) | −3.65093e11 | − | 1.12616e11i | −0.465634 | − | 0.143629i | 0.0530559 | − | 0.998592i | \(-0.483104\pi\) |
−0.518690 | + | 0.854963i | \(0.673580\pi\) | |||||||
\(942\) | 1.34478e12 | − | 1.07242e12i | 1.70784 | − | 1.36196i | ||||
\(943\) | 7.66456e10 | − | 1.02276e12i | 0.0969260 | − | 1.29339i | ||||
\(944\) | 2.32198e11 | + | 1.11820e11i | 0.292395 | + | 0.140810i | ||||
\(945\) | − | 1.32456e12i | − | 1.66090i | ||||||
\(946\) | −2.29285e12 | − | 2.33968e11i | −2.86293 | − | 0.292140i | ||||
\(947\) | 1.50999e12 | 1.87747 | 0.938736 | − | 0.344637i | \(-0.111998\pi\) | ||||
0.938736 | + | 0.344637i | \(0.111998\pi\) | |||||||
\(948\) | −1.92278e11 | + | 3.99269e11i | −0.238065 | + | 0.494348i | ||||
\(949\) | −2.05949e12 | − | 1.54338e11i | −2.53919 | − | 0.190286i | ||||
\(950\) | −7.61286e10 | − | 9.54623e10i | −0.0934660 | − | 0.117203i | ||||
\(951\) | −4.39103e11 | + | 1.42354e12i | −0.536840 | + | 1.74039i | ||||
\(952\) | 3.90018e11 | − | 6.75532e11i | 0.474829 | − | 0.822428i | ||||
\(953\) | 2.53403e11 | − | 1.46302e11i | 0.307214 | − | 0.177370i | −0.338465 | − | 0.940979i | \(-0.609908\pi\) |
0.645679 | + | 0.763609i | \(0.276574\pi\) | |||||||
\(954\) | 1.93282e12 | − | 4.41154e11i | 2.33345 | − | 0.532595i | ||||
\(955\) | 1.08824e12 | + | 1.64025e11i | 1.30831 | + | 0.197196i | ||||
\(956\) | 1.72220e12 | + | 1.59796e12i | 2.06182 | + | 1.91309i | ||||
\(957\) | 1.14106e12 | − | 1.43085e12i | 1.36038 | − | 1.70587i | ||||
\(958\) | −9.59838e11 | − | 1.40782e12i | −1.13956 | − | 1.67142i | ||||
\(959\) | −5.10977e11 | + | 4.74117e11i | −0.604125 | + | 0.560546i | ||||
\(960\) | 1.82375e11 | + | 2.43363e12i | 0.214724 | + | 2.86530i | ||||
\(961\) | 2.67945e11 | − | 6.82713e11i | 0.314161 | − | 0.800469i | ||||
\(962\) | 4.31259e11 | − | 1.88947e12i | 0.503544 | − | 2.20617i | ||||
\(963\) | −6.37665e11 | + | 1.96694e11i | −0.741460 | + | 0.228710i | ||||
\(964\) | 1.29721e12 | − | 1.90266e12i | 1.50211 | − | 2.20319i | ||||
\(965\) | −1.63289e11 | − | 1.08335e12i | −0.188299 | − | 1.24928i | ||||
\(966\) | −2.29021e12 | + | 8.98841e11i | −2.63007 | + | 1.03222i | ||||
\(967\) | −7.31259e11 | + | 3.52156e11i | −0.836306 | + | 0.402744i | −0.802477 | − | 0.596684i | \(-0.796485\pi\) |
−0.0338298 | + | 0.999428i | \(0.510770\pi\) | |||||||
\(968\) | −1.07466e12 | − | 2.23156e12i | −1.22397 | − | 2.54160i | ||||
\(969\) | 3.99111e10 | + | 1.01692e11i | 0.0452688 | + | 0.115343i | ||||
\(970\) | 6.22419e11 | − | 9.38146e10i | 0.703066 | − | 0.105970i | ||||
\(971\) | 3.08580e11 | + | 2.10386e11i | 0.347129 | + | 0.236668i | 0.724315 | − | 0.689469i | \(-0.242156\pi\) |
−0.377186 | + | 0.926137i | \(0.623108\pi\) | |||||||
\(972\) | −3.13298e11 | − | 1.01569e12i | −0.350988 | − | 1.13788i | ||||
\(973\) | 4.97033e11 | + | 1.13444e11i | 0.554541 | + | 0.126570i | ||||
\(974\) | −7.62299e11 | − | 2.99180e11i | −0.847012 | − | 0.332428i | ||||
\(975\) | −2.08010e12 | + | 1.55882e11i | −2.30179 | + | 0.172495i | ||||
\(976\) | 2.61963e11 | + | 2.82329e11i | 0.288696 | + | 0.311140i | ||||
\(977\) | 9.27065e10 | − | 6.32062e10i | 0.101749 | − | 0.0693716i | −0.511376 | − | 0.859357i | \(-0.670864\pi\) |
0.613126 | + | 0.789985i | \(0.289912\pi\) | |||||||
\(978\) | 3.83123e12 | + | 3.05531e12i | 4.18777 | + | 3.33964i | ||||
\(979\) | 1.55078e12 | − | 1.67135e12i | 1.68819 | − | 1.81943i | ||||
\(980\) | −3.97330e10 | + | 2.63611e11i | −0.0430772 | + | 0.285798i | ||||
\(981\) | −1.90785e11 | − | 8.35882e11i | −0.206000 | − | 0.902545i | ||||
\(982\) | 1.77324e11 | + | 3.07135e11i | 0.190688 | + | 0.330281i | ||||
\(983\) | −6.18169e10 | − | 3.56900e10i | −0.0662053 | − | 0.0382237i | 0.466532 | − | 0.884504i | \(-0.345503\pi\) |
−0.532737 | + | 0.846281i | \(0.678837\pi\) | |||||||
\(984\) | −2.77328e12 | − | 8.55442e11i | −2.95810 | − | 0.912453i | ||||
\(985\) | −1.79258e12 | + | 1.42953e12i | −1.90429 | + | 1.51862i | ||||
\(986\) | 6.18518e10 | − | 8.25354e11i | 0.0654402 | − | 0.873238i | ||||
\(987\) | 1.92423e11 | + | 9.26661e10i | 0.202763 | + | 0.0976455i | ||||
\(988\) | − | 3.48424e11i | − | 0.365663i | ||||||
\(989\) | 9.96066e11 | + | 1.77644e11i | 1.04112 | + | 0.185680i | ||||
\(990\) | −6.62339e12 | −6.89509 | ||||||||
\(991\) | 1.18381e11 | − | 2.45820e11i | 0.122740 | − | 0.254872i | −0.830541 | − | 0.556958i | \(-0.811969\pi\) |
0.953281 | + | 0.302086i | \(0.0976828\pi\) | |||||||
\(992\) | 4.68642e11 | + | 3.51199e10i | 0.483943 | + | 0.0362665i | ||||
\(993\) | 1.03147e11 | + | 1.29342e11i | 0.106086 | + | 0.133028i | ||||
\(994\) | −7.45556e10 | + | 2.41703e11i | −0.0763721 | + | 0.247592i | ||||
\(995\) | 4.12186e11 | − | 7.13928e11i | 0.420534 | − | 0.728386i | ||||
\(996\) | 2.45241e12 | − | 1.41590e12i | 2.49205 | − | 1.43878i | ||||
\(997\) | −7.90628e11 | + | 1.80456e11i | −0.800188 | + | 0.182638i | −0.603014 | − | 0.797731i | \(-0.706034\pi\) |
−0.197174 | + | 0.980369i | \(0.563176\pi\) | |||||||
\(998\) | −9.26140e11 | − | 1.39593e11i | −0.933586 | − | 0.140715i | ||||
\(999\) | −7.35422e11 | − | 6.82372e11i | −0.738372 | − | 0.685109i |
(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.h.a.3.3 | ✓ | 336 | |
43.29 | odd | 42 | inner | 43.9.h.a.29.3 | yes | 336 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.9.h.a.3.3 | ✓ | 336 | 1.1 | even | 1 | trivial | |
43.9.h.a.29.3 | yes | 336 | 43.29 | odd | 42 | inner |