Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,9,Mod(2,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([9]))
N = Newforms(chi, 9, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.2");
S:= CuspForms(chi, 9);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 9 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.f (of order \(14\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(17.5172802326\) |
Analytic rank: | \(0\) |
Dimension: | \(174\) |
Relative dimension: | \(29\) over \(\Q(\zeta_{14})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 22.6 | ||
Character | \(\chi\) | \(=\) | 43.22 |
Dual form | 43.9.f.a.2.6 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{5}{14}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −9.26628 | + | 19.2416i | −0.579143 | + | 1.20260i | 0.381385 | + | 0.924416i | \(0.375447\pi\) |
−0.960527 | + | 0.278186i | \(0.910267\pi\) | |||||||
\(3\) | 5.00685 | + | 10.3968i | 0.0618129 | + | 0.128356i | 0.929587 | − | 0.368604i | \(-0.120164\pi\) |
−0.867774 | + | 0.496960i | \(0.834450\pi\) | |||||||
\(4\) | −124.763 | − | 156.448i | −0.487356 | − | 0.611125i | ||||
\(5\) | −758.071 | + | 173.025i | −1.21291 | + | 0.276840i | −0.780685 | − | 0.624924i | \(-0.785130\pi\) |
−0.432229 | + | 0.901764i | \(0.642273\pi\) | |||||||
\(6\) | −246.447 | −0.190160 | ||||||||
\(7\) | 4635.90i | 1.93082i | 0.260733 | + | 0.965411i | \(0.416036\pi\) | ||||
−0.260733 | + | 0.965411i | \(0.583964\pi\) | |||||||
\(8\) | −1163.81 | + | 265.632i | −0.284133 | + | 0.0648515i | ||||
\(9\) | 4007.69 | − | 5025.49i | 0.610835 | − | 0.765963i | ||||
\(10\) | 3695.22 | − | 16189.8i | 0.369522 | − | 1.61898i | ||||
\(11\) | −14701.2 | + | 18434.7i | −1.00411 | + | 1.25911i | −0.0384623 | + | 0.999260i | \(0.512246\pi\) |
−0.965648 | + | 0.259854i | \(0.916325\pi\) | |||||||
\(12\) | 1001.89 | − | 2080.45i | 0.0483166 | − | 0.100330i | ||||
\(13\) | −5437.50 | − | 23823.3i | −0.190382 | − | 0.834119i | −0.976410 | − | 0.215927i | \(-0.930723\pi\) |
0.786027 | − | 0.618192i | \(-0.212134\pi\) | |||||||
\(14\) | −89202.4 | − | 42957.6i | −2.32201 | − | 1.11822i | ||||
\(15\) | −5594.46 | − | 7015.23i | −0.110508 | − | 0.138572i | ||||
\(16\) | 17072.0 | − | 74797.4i | 0.260498 | − | 1.14132i | ||||
\(17\) | −19249.4 | + | 84337.1i | −0.230474 | + | 1.00977i | 0.718775 | + | 0.695243i | \(0.244703\pi\) |
−0.949248 | + | 0.314528i | \(0.898154\pi\) | |||||||
\(18\) | 59562.2 | + | 123682.i | 0.567388 | + | 1.17819i | ||||
\(19\) | 83361.1 | − | 66478.2i | 0.639660 | − | 0.510112i | −0.249104 | − | 0.968477i | \(-0.580136\pi\) |
0.888764 | + | 0.458365i | \(0.151565\pi\) | |||||||
\(20\) | 121649. | + | 97011.6i | 0.760304 | + | 0.606323i | ||||
\(21\) | −48198.7 | + | 23211.3i | −0.247832 | + | 0.119350i | ||||
\(22\) | −218488. | − | 453696.i | −0.932691 | − | 1.93675i | ||||
\(23\) | 110556. | − | 138633.i | 0.395067 | − | 0.495398i | −0.544023 | − | 0.839071i | \(-0.683099\pi\) |
0.939090 | + | 0.343672i | \(0.111671\pi\) | |||||||
\(24\) | −8588.74 | − | 10769.9i | −0.0258872 | − | 0.0324615i | ||||
\(25\) | 192794. | − | 92844.5i | 0.493551 | − | 0.237682i | ||||
\(26\) | 508784. | + | 116127.i | 1.11337 | + | 0.254120i | ||||
\(27\) | 146128. | + | 33352.8i | 0.274966 | + | 0.0627591i | ||||
\(28\) | 725278. | − | 578390.i | 1.17997 | − | 0.940997i | ||||
\(29\) | 267216. | − | 554880.i | 0.377808 | − | 0.784526i | −0.622191 | − | 0.782866i | \(-0.713757\pi\) |
0.999999 | − | 0.00166044i | \(-0.000528535\pi\) | |||||||
\(30\) | 186824. | − | 42641.4i | 0.230647 | − | 0.0526437i | ||||
\(31\) | 1.01562e6 | + | 489096.i | 1.09973 | + | 0.529600i | 0.893572 | − | 0.448920i | \(-0.148191\pi\) |
0.206153 | + | 0.978520i | \(0.433905\pi\) | |||||||
\(32\) | 1.04210e6 | + | 831051.i | 0.993828 | + | 0.792552i | ||||
\(33\) | −265269. | − | 60545.9i | −0.223682 | − | 0.0510539i | ||||
\(34\) | −1.44441e6 | − | 1.15188e6i | −1.08088 | − | 0.861970i | ||||
\(35\) | −802126. | − | 3.51435e6i | −0.534528 | − | 2.34192i | ||||
\(36\) | −1.28624e6 | −0.765794 | ||||||||
\(37\) | 2.37243e6i | 1.26586i | 0.774209 | + | 0.632930i | \(0.218148\pi\) | ||||
−0.774209 | + | 0.632930i | \(0.781852\pi\) | |||||||
\(38\) | 506703. | + | 2.22001e6i | 0.243007 | + | 1.06468i | ||||
\(39\) | 220462. | − | 175812.i | 0.0952959 | − | 0.0759960i | ||||
\(40\) | 836289. | − | 402736.i | 0.326675 | − | 0.157319i | ||||
\(41\) | −1.86646e6 | − | 898838.i | −0.660514 | − | 0.318087i | 0.0734262 | − | 0.997301i | \(-0.476607\pi\) |
−0.733941 | + | 0.679214i | \(0.762321\pi\) | |||||||
\(42\) | − | 1.14250e6i | − | 0.367164i | ||||||
\(43\) | −268848. | − | 3.40821e6i | −0.0786382 | − | 0.996903i | ||||
\(44\) | 4.71823e6 | 1.25884 | ||||||||
\(45\) | −2.16858e6 | + | 4.50311e6i | −0.528842 | + | 1.09815i | ||||
\(46\) | 1.64308e6 | + | 3.41189e6i | 0.366967 | + | 0.762015i | ||||
\(47\) | −2.12977e6 | − | 2.67065e6i | −0.436457 | − | 0.547300i | 0.514148 | − | 0.857701i | \(-0.328108\pi\) |
−0.950606 | + | 0.310401i | \(0.899537\pi\) | |||||||
\(48\) | 863132. | − | 197004.i | 0.162597 | − | 0.0371117i | ||||
\(49\) | −1.57268e7 | −2.72807 | ||||||||
\(50\) | 4.56999e6i | 0.731198i | ||||||||
\(51\) | −973217. | + | 222130.i | −0.143856 | + | 0.0328343i | ||||
\(52\) | −3.04870e6 | + | 3.82295e6i | −0.416967 | + | 0.522860i | ||||
\(53\) | −2.43181e6 | + | 1.06545e7i | −0.308196 | + | 1.35029i | 0.549224 | + | 0.835675i | \(0.314923\pi\) |
−0.857419 | + | 0.514618i | \(0.827934\pi\) | |||||||
\(54\) | −1.99583e6 | + | 2.50269e6i | −0.234719 | + | 0.294328i | ||||
\(55\) | 7.95488e6 | − | 1.65185e7i | 0.869327 | − | 1.80518i | ||||
\(56\) | −1.23144e6 | − | 5.39531e6i | −0.125217 | − | 0.548610i | ||||
\(57\) | 1.10854e6 | + | 533844.i | 0.105015 | + | 0.0505726i | ||||
\(58\) | 8.20070e6 | + | 1.02834e7i | 0.724668 | + | 0.908705i | ||||
\(59\) | 593024. | − | 2.59821e6i | 0.0489400 | − | 0.214420i | −0.944545 | − | 0.328382i | \(-0.893497\pi\) |
0.993485 | + | 0.113961i | \(0.0363540\pi\) | |||||||
\(60\) | −399536. | + | 1.75048e6i | −0.0308284 | + | 0.135068i | ||||
\(61\) | −6.68132e6 | − | 1.38739e7i | −0.482551 | − | 1.00203i | −0.990095 | − | 0.140401i | \(-0.955161\pi\) |
0.507544 | − | 0.861626i | \(-0.330553\pi\) | |||||||
\(62\) | −1.88220e7 | + | 1.50101e7i | −1.27380 | + | 1.01582i | ||||
\(63\) | 2.32977e7 | + | 1.85793e7i | 1.47894 | + | 1.17941i | ||||
\(64\) | −7.95167e6 | + | 3.82932e6i | −0.473957 | + | 0.228245i | ||||
\(65\) | 8.24403e6 | + | 1.71189e7i | 0.461834 | + | 0.959009i | ||||
\(66\) | 3.62306e6 | − | 4.54317e6i | 0.190941 | − | 0.239433i | ||||
\(67\) | −4.94379e6 | − | 6.19931e6i | −0.245336 | − | 0.307641i | 0.643883 | − | 0.765124i | \(-0.277322\pi\) |
−0.889218 | + | 0.457483i | \(0.848751\pi\) | |||||||
\(68\) | 1.55960e7 | − | 7.51063e6i | 0.729419 | − | 0.351270i | ||||
\(69\) | 1.99488e6 | + | 455318.i | 0.0880075 | + | 0.0200871i | ||||
\(70\) | 7.50545e7 | + | 1.71307e7i | 3.12597 | + | 0.713482i | ||||
\(71\) | −1.63730e7 | + | 1.30570e7i | −0.644310 | + | 0.513820i | −0.890254 | − | 0.455464i | \(-0.849473\pi\) |
0.245944 | + | 0.969284i | \(0.420902\pi\) | |||||||
\(72\) | −3.32926e6 | + | 6.91328e6i | −0.123885 | + | 0.257249i | ||||
\(73\) | 2.54849e7 | − | 5.81676e6i | 0.897411 | − | 0.204828i | 0.251153 | − | 0.967947i | \(-0.419190\pi\) |
0.646258 | + | 0.763119i | \(0.276333\pi\) | |||||||
\(74\) | −4.56494e7 | − | 2.19836e7i | −1.52233 | − | 0.733114i | ||||
\(75\) | 1.93058e6 | + | 1.53958e6i | 0.0610157 | + | 0.0486584i | ||||
\(76\) | −2.08008e7 | − | 4.74764e6i | −0.623484 | − | 0.142306i | ||||
\(77\) | −8.54615e7 | − | 6.81532e7i | −2.43113 | − | 1.93876i | ||||
\(78\) | 1.34006e6 | + | 5.87116e6i | 0.0362030 | + | 0.158616i | ||||
\(79\) | −1.25401e7 | −0.321953 | −0.160976 | − | 0.986958i | \(-0.551464\pi\) | ||||
−0.160976 | + | 0.986958i | \(0.551464\pi\) | |||||||
\(80\) | 5.96556e7i | 1.45644i | ||||||||
\(81\) | −8.99951e6 | − | 3.94294e7i | −0.209064 | − | 0.915968i | ||||
\(82\) | 3.45902e7 | − | 2.75848e7i | 0.765064 | − | 0.610118i | ||||
\(83\) | −4.90723e7 | + | 2.36320e7i | −1.03401 | + | 0.497953i | −0.872344 | − | 0.488893i | \(-0.837401\pi\) |
−0.161665 | + | 0.986846i | \(0.551687\pi\) | |||||||
\(84\) | 9.64477e6 | + | 4.64468e6i | 0.193720 | + | 0.0932907i | ||||
\(85\) | − | 6.72642e7i | − | 1.28857i | ||||||
\(86\) | 6.80708e7 | + | 2.64084e7i | 1.24442 | + | 0.482779i | ||||
\(87\) | 7.10691e6 | 0.124052 | ||||||||
\(88\) | 1.22125e7 | − | 2.53596e7i | 0.203645 | − | 0.422874i | ||||
\(89\) | 3.81472e6 | + | 7.92134e6i | 0.0607998 | + | 0.126252i | 0.929155 | − | 0.369691i | \(-0.120537\pi\) |
−0.868355 | + | 0.495943i | \(0.834822\pi\) | |||||||
\(90\) | −6.65524e7 | − | 8.34541e7i | −1.01436 | − | 1.27197i | ||||
\(91\) | 1.10442e8 | − | 2.52077e7i | 1.61053 | − | 0.367594i | ||||
\(92\) | −3.54821e7 | −0.495289 | ||||||||
\(93\) | 1.30080e7i | 0.173892i | ||||||||
\(94\) | 7.11227e7 | − | 1.62333e7i | 0.910955 | − | 0.207920i | ||||
\(95\) | −5.16913e7 | + | 6.48188e7i | −0.634633 | + | 0.795805i | ||||
\(96\) | −3.42263e6 | + | 1.49955e7i | −0.0402972 | + | 0.176554i | ||||
\(97\) | −8.23714e7 | + | 1.03291e8i | −0.930443 | + | 1.16674i | 0.0552983 | + | 0.998470i | \(0.482389\pi\) |
−0.985741 | + | 0.168269i | \(0.946182\pi\) | |||||||
\(98\) | 1.45729e8 | − | 3.02609e8i | 1.57994 | − | 3.28079i | ||||
\(99\) | 3.37255e7 | + | 1.47761e8i | 0.351089 | + | 1.53822i | ||||
\(100\) | −3.85789e7 | − | 1.85786e7i | −0.385789 | − | 0.185786i | ||||
\(101\) | 2.07891e6 | + | 2.60688e6i | 0.0199780 | + | 0.0250516i | 0.791720 | − | 0.610884i | \(-0.209186\pi\) |
−0.771742 | + | 0.635936i | \(0.780614\pi\) | |||||||
\(102\) | 4.74395e6 | − | 2.07846e7i | 0.0438268 | − | 0.192018i | ||||
\(103\) | −3.79005e6 | + | 1.66053e7i | −0.0336741 | + | 0.147536i | −0.988970 | − | 0.148115i | \(-0.952679\pi\) |
0.955296 | + | 0.295651i | \(0.0955366\pi\) | |||||||
\(104\) | 1.26564e7 | + | 2.62813e7i | 0.108188 | + | 0.224654i | ||||
\(105\) | 3.25219e7 | − | 2.59354e7i | 0.267559 | − | 0.213371i | ||||
\(106\) | −1.82475e8 | − | 1.45519e8i | −1.44538 | − | 1.15265i | ||||
\(107\) | 7.73093e7 | − | 3.72302e7i | 0.589789 | − | 0.284027i | −0.115090 | − | 0.993355i | \(-0.536716\pi\) |
0.704879 | + | 0.709328i | \(0.251001\pi\) | |||||||
\(108\) | −1.30134e7 | − | 2.70226e7i | −0.0956525 | − | 0.198624i | ||||
\(109\) | −1.04109e8 | + | 1.30549e8i | −0.737534 | + | 0.924839i | −0.999187 | − | 0.0403233i | \(-0.987161\pi\) |
0.261652 | + | 0.965162i | \(0.415733\pi\) | |||||||
\(110\) | 2.44130e8 | + | 3.06130e8i | 1.66744 | + | 2.09091i | ||||
\(111\) | −2.46657e7 | + | 1.18784e7i | −0.162481 | + | 0.0782466i | ||||
\(112\) | 3.46753e8 | + | 7.91442e7i | 2.20368 | + | 0.502976i | ||||
\(113\) | 1.84431e8 | + | 4.20952e7i | 1.13115 | + | 0.258178i | 0.746826 | − | 0.665020i | \(-0.231577\pi\) |
0.384325 | + | 0.923198i | \(0.374434\pi\) | |||||||
\(114\) | −2.05441e7 | + | 1.63833e7i | −0.121637 | + | 0.0970026i | ||||
\(115\) | −5.98224e7 | + | 1.24222e8i | −0.342036 | + | 0.710246i | ||||
\(116\) | −1.20149e8 | + | 2.74231e7i | −0.663570 | + | 0.151456i | ||||
\(117\) | −1.41515e8 | − | 6.81502e7i | −0.755196 | − | 0.363683i | ||||
\(118\) | 4.44986e7 | + | 3.54865e7i | 0.229519 | + | 0.183035i | ||||
\(119\) | −3.90979e8 | − | 8.92383e7i | −1.94969 | − | 0.445004i | ||||
\(120\) | 8.37434e6 | + | 6.67832e6i | 0.0403855 | + | 0.0322064i | ||||
\(121\) | −7.60140e7 | − | 3.33039e8i | −0.354611 | − | 1.55365i | ||||
\(122\) | 3.28868e8 | 1.48451 | ||||||||
\(123\) | − | 2.39056e7i | − | 0.104443i | ||||||
\(124\) | −5.01937e7 | − | 2.19913e8i | −0.212306 | − | 0.930173i | ||||
\(125\) | 1.07384e8 | − | 8.56361e7i | 0.439846 | − | 0.350765i | ||||
\(126\) | −5.73378e8 | + | 2.76124e8i | −2.27488 | + | 1.09553i | ||||
\(127\) | 9.10315e7 | + | 4.38385e7i | 0.349927 | + | 0.168516i | 0.600587 | − | 0.799559i | \(-0.294934\pi\) |
−0.250661 | + | 0.968075i | \(0.580648\pi\) | |||||||
\(128\) | 1.52736e8i | 0.568986i | ||||||||
\(129\) | 3.40885e7 | − | 1.98596e7i | 0.123098 | − | 0.0717152i | ||||
\(130\) | −4.05787e8 | −1.42077 | ||||||||
\(131\) | −1.26015e8 | + | 2.61673e8i | −0.427894 | + | 0.888532i | 0.569872 | + | 0.821733i | \(0.306993\pi\) |
−0.997766 | + | 0.0667986i | \(0.978722\pi\) | |||||||
\(132\) | 2.36235e7 | + | 4.90547e7i | 0.0778123 | + | 0.161579i | ||||
\(133\) | 3.08187e8 | + | 3.86454e8i | 0.984935 | + | 1.23507i | ||||
\(134\) | 1.65095e8 | − | 3.76820e7i | 0.512054 | − | 0.116873i | ||||
\(135\) | −1.16546e8 | −0.350884 | ||||||||
\(136\) | − | 1.03266e8i | − | 0.301856i | ||||||
\(137\) | −5.37008e8 | + | 1.22569e8i | −1.52440 | + | 0.347934i | −0.900948 | − | 0.433928i | \(-0.857127\pi\) |
−0.623452 | + | 0.781862i | \(0.714270\pi\) | |||||||
\(138\) | −2.72462e7 | + | 3.41656e7i | −0.0751258 | + | 0.0942047i | ||||
\(139\) | 5.39727e7 | − | 2.36470e8i | 0.144582 | − | 0.633457i | −0.849754 | − | 0.527179i | \(-0.823250\pi\) |
0.994337 | − | 0.106278i | \(-0.0338932\pi\) | |||||||
\(140\) | −4.49736e8 | + | 5.63952e8i | −1.17070 | + | 1.46801i | ||||
\(141\) | 1.71028e7 | − | 3.55144e7i | 0.0432705 | − | 0.0898520i | ||||
\(142\) | −9.95218e7 | − | 4.36034e8i | −0.244774 | − | 1.07242i | ||||
\(143\) | 5.19112e8 | + | 2.49991e8i | 1.24142 | + | 0.597834i | ||||
\(144\) | −3.07474e8 | − | 3.85560e8i | −0.715086 | − | 0.896689i | ||||
\(145\) | −1.06561e8 | + | 4.66874e8i | −0.241060 | + | 1.05616i | ||||
\(146\) | −1.24226e8 | + | 5.44271e8i | −0.273402 | + | 1.19785i | ||||
\(147\) | −7.87417e7 | − | 1.63509e8i | −0.168630 | − | 0.350164i | ||||
\(148\) | 3.71161e8 | − | 2.95991e8i | 0.773599 | − | 0.616925i | ||||
\(149\) | −5.10293e8 | − | 4.06945e8i | −1.03532 | − | 0.825640i | −0.0504138 | − | 0.998728i | \(-0.516054\pi\) |
−0.984906 | + | 0.173088i | \(0.944625\pi\) | |||||||
\(150\) | −4.75133e7 | + | 2.28812e7i | −0.0938535 | + | 0.0451975i | ||||
\(151\) | 3.62995e6 | + | 7.53767e6i | 0.00698221 | + | 0.0144987i | 0.904431 | − | 0.426620i | \(-0.140296\pi\) |
−0.897449 | + | 0.441119i | \(0.854582\pi\) | |||||||
\(152\) | −7.93576e7 | + | 9.95113e7i | −0.148667 | + | 0.186422i | ||||
\(153\) | 3.46689e8 | + | 4.34735e8i | 0.632666 | + | 0.793338i | ||||
\(154\) | 2.10329e9 | − | 1.01289e9i | 3.73952 | − | 1.80086i | ||||
\(155\) | −8.54538e8 | − | 1.95043e8i | −1.48049 | − | 0.337911i | ||||
\(156\) | −5.50109e7 | − | 1.25559e7i | −0.0928861 | − | 0.0212006i | ||||
\(157\) | 7.10902e8 | − | 5.66926e8i | 1.17007 | − | 0.933099i | 0.171427 | − | 0.985197i | \(-0.445162\pi\) |
0.998642 | + | 0.0520982i | \(0.0165909\pi\) | |||||||
\(158\) | 1.16200e8 | − | 2.41292e8i | 0.186457 | − | 0.387181i | ||||
\(159\) | −1.22948e8 | + | 2.80622e7i | −0.192369 | + | 0.0439069i | ||||
\(160\) | −9.33782e8 | − | 4.49686e8i | −1.42484 | − | 0.686166i | ||||
\(161\) | 6.42688e8 | + | 5.12527e8i | 0.956526 | + | 0.762804i | ||||
\(162\) | 8.42078e8 | + | 1.92199e8i | 1.22262 | + | 0.279056i | ||||
\(163\) | −2.15305e8 | − | 1.71700e8i | −0.305002 | − | 0.243231i | 0.459013 | − | 0.888430i | \(-0.348203\pi\) |
−0.764015 | + | 0.645198i | \(0.776775\pi\) | |||||||
\(164\) | 9.22435e7 | + | 4.04145e8i | 0.127515 | + | 0.558678i | ||||
\(165\) | 2.11569e8 | 0.285440 | ||||||||
\(166\) | − | 1.16321e9i | − | 1.53189i | ||||||
\(167\) | −7.19294e7 | − | 3.15143e8i | −0.0924785 | − | 0.405175i | 0.907408 | − | 0.420251i | \(-0.138058\pi\) |
−0.999886 | + | 0.0150764i | \(0.995201\pi\) | |||||||
\(168\) | 4.99284e7 | − | 3.98166e7i | 0.0626773 | − | 0.0499835i | ||||
\(169\) | 1.96967e8 | − | 9.48542e7i | 0.241460 | − | 0.116281i | ||||
\(170\) | 1.29427e9 | + | 6.23289e8i | 1.54964 | + | 0.746266i | ||||
\(171\) | − | 6.85354e8i | − | 0.801550i | ||||||
\(172\) | −4.99666e8 | + | 4.67280e8i | −0.570908 | + | 0.533904i | ||||
\(173\) | −6.25919e8 | −0.698769 | −0.349385 | − | 0.936979i | \(-0.613609\pi\) | ||||
−0.349385 | + | 0.936979i | \(0.613609\pi\) | |||||||
\(174\) | −6.58546e7 | + | 1.36748e8i | −0.0718438 | + | 0.149185i | ||||
\(175\) | 4.30418e8 | + | 8.93772e8i | 0.458921 | + | 0.952960i | ||||
\(176\) | 1.12789e9 | + | 1.41433e9i | 1.17548 | + | 1.47401i | ||||
\(177\) | 2.99823e7 | − | 6.84326e6i | 0.0305472 | − | 0.00697220i | ||||
\(178\) | −1.87768e8 | −0.187043 | ||||||||
\(179\) | − | 1.54823e9i | − | 1.50807i | −0.656832 | − | 0.754037i | \(-0.728104\pi\) | ||
0.656832 | − | 0.754037i | \(-0.271896\pi\) | |||||||
\(180\) | 9.75061e8 | − | 2.22551e8i | 0.928842 | − | 0.212002i | ||||
\(181\) | 3.47421e8 | − | 4.35652e8i | 0.323699 | − | 0.405906i | −0.593181 | − | 0.805069i | \(-0.702128\pi\) |
0.916880 | + | 0.399164i | \(0.130699\pi\) | |||||||
\(182\) | −5.38352e8 | + | 2.35867e9i | −0.490660 | + | 2.14972i | ||||
\(183\) | 1.10792e8 | − | 1.38929e8i | 0.0987881 | − | 0.123876i | ||||
\(184\) | −9.18407e7 | + | 1.90709e8i | −0.0801243 | + | 0.166380i | ||||
\(185\) | −4.10489e8 | − | 1.79847e9i | −0.350441 | − | 1.53538i | ||||
\(186\) | −2.50296e8 | − | 1.20536e8i | −0.209123 | − | 0.100708i | ||||
\(187\) | −1.27174e9 | − | 1.59471e9i | −1.04000 | − | 1.30411i | ||||
\(188\) | −1.52101e8 | + | 6.66397e8i | −0.121759 | + | 0.533460i | ||||
\(189\) | −1.54620e8 | + | 6.77436e8i | −0.121177 | + | 0.530910i | ||||
\(190\) | −7.68234e8 | − | 1.59525e9i | −0.589493 | − | 1.22410i | ||||
\(191\) | 3.05581e8 | − | 2.43693e8i | 0.229611 | − | 0.183109i | −0.501925 | − | 0.864911i | \(-0.667375\pi\) |
0.731537 | + | 0.681802i | \(0.238803\pi\) | |||||||
\(192\) | −7.96256e7 | − | 6.34993e7i | −0.0585933 | − | 0.0467266i | ||||
\(193\) | −1.27637e9 | + | 6.14669e8i | −0.919917 | + | 0.443009i | −0.833041 | − | 0.553211i | \(-0.813402\pi\) |
−0.0868753 | + | 0.996219i | \(0.527688\pi\) | |||||||
\(194\) | −1.22420e9 | − | 2.54208e9i | −0.864263 | − | 1.79466i | ||||
\(195\) | −1.36706e8 | + | 1.71423e8i | −0.0945471 | + | 0.118558i | ||||
\(196\) | 1.96212e9 | + | 2.46043e9i | 1.32954 | + | 1.66719i | ||||
\(197\) | −4.65423e8 | + | 2.24136e8i | −0.309018 | + | 0.148815i | −0.581965 | − | 0.813214i | \(-0.697716\pi\) |
0.272947 | + | 0.962029i | \(0.412002\pi\) | |||||||
\(198\) | −3.15568e9 | − | 7.20262e8i | −2.05320 | − | 0.468630i | ||||
\(199\) | −1.51986e9 | − | 3.46898e8i | −0.969152 | − | 0.221203i | −0.291488 | − | 0.956575i | \(-0.594150\pi\) |
−0.677664 | + | 0.735372i | \(0.737007\pi\) | |||||||
\(200\) | −1.99712e8 | + | 1.59265e8i | −0.124820 | + | 0.0995408i | ||||
\(201\) | 3.97004e7 | − | 8.24387e7i | 0.0243226 | − | 0.0505065i | ||||
\(202\) | −6.94244e7 | + | 1.58457e7i | −0.0416972 | + | 0.00951710i | ||||
\(203\) | 2.57237e9 | + | 1.23879e9i | 1.51478 | + | 0.729480i | ||||
\(204\) | 1.56173e8 | + | 1.24544e8i | 0.0901750 | + | 0.0719122i | ||||
\(205\) | 1.57043e9 | + | 3.58440e8i | 0.889206 | + | 0.202956i | ||||
\(206\) | −2.84394e8 | − | 2.26796e8i | −0.157925 | − | 0.125941i | ||||
\(207\) | −2.53623e8 | − | 1.11119e9i | −0.138136 | − | 0.605214i | ||||
\(208\) | −1.87475e9 | −1.00159 | ||||||||
\(209\) | 2.51404e9i | 1.31761i | ||||||||
\(210\) | 1.97681e8 | + | 8.66099e8i | 0.101646 | + | 0.445339i | ||||
\(211\) | 2.41328e9 | − | 1.92453e9i | 1.21753 | − | 0.970944i | 0.217539 | − | 0.976052i | \(-0.430197\pi\) |
0.999987 | + | 0.00510742i | \(0.00162575\pi\) | |||||||
\(212\) | 1.97027e9 | − | 9.48832e8i | 0.975399 | − | 0.469727i | ||||
\(213\) | −2.17729e8 | − | 1.04853e8i | −0.105779 | − | 0.0509403i | ||||
\(214\) | 1.83254e9i | 0.873774i | ||||||||
\(215\) | 7.93512e8 | + | 2.53715e9i | 0.371364 | + | 1.18739i | ||||
\(216\) | −1.78925e8 | −0.0821969 | ||||||||
\(217\) | −2.26740e9 | + | 4.70831e9i | −1.02256 | + | 2.12337i | ||||
\(218\) | −1.54726e9 | − | 3.21293e9i | −0.685076 | − | 1.42257i | ||||
\(219\) | 1.88075e8 | + | 2.35838e8i | 0.0817625 | + | 0.102527i | ||||
\(220\) | −3.57676e9 | + | 8.16372e8i | −1.52686 | + | 0.348496i | ||||
\(221\) | 2.11385e9 | 0.886147 | ||||||||
\(222\) | − | 5.84677e8i | − | 0.240716i | ||||||
\(223\) | 3.32408e9 | − | 7.58700e8i | 1.34416 | − | 0.306797i | 0.510885 | − | 0.859649i | \(-0.329318\pi\) |
0.833279 | + | 0.552852i | \(0.186461\pi\) | |||||||
\(224\) | −3.85267e9 | + | 4.83110e9i | −1.53028 | + | 1.91891i | ||||
\(225\) | 3.06068e8 | − | 1.34097e9i | 0.119423 | − | 0.523227i | ||||
\(226\) | −2.51897e9 | + | 3.15869e9i | −0.965583 | + | 1.21080i | ||||
\(227\) | −5.46884e8 | + | 1.13562e9i | −0.205964 | + | 0.427689i | −0.978205 | − | 0.207641i | \(-0.933422\pi\) |
0.772241 | + | 0.635330i | \(0.219136\pi\) | |||||||
\(228\) | −5.47859e7 | − | 2.40033e8i | −0.0202735 | − | 0.0888242i | ||||
\(229\) | −1.29974e9 | − | 6.25924e8i | −0.472624 | − | 0.227604i | 0.182381 | − | 0.983228i | \(-0.441619\pi\) |
−0.655006 | + | 0.755624i | \(0.727334\pi\) | |||||||
\(230\) | −1.83591e9 | − | 2.30216e9i | −0.656055 | − | 0.822667i | ||||
\(231\) | 2.80685e8 | − | 1.22976e9i | 0.0985760 | − | 0.431890i | ||||
\(232\) | −1.63595e8 | + | 7.16756e8i | −0.0564700 | + | 0.247411i | ||||
\(233\) | 5.23851e8 | + | 1.08779e9i | 0.177739 | + | 0.369080i | 0.970737 | − | 0.240145i | \(-0.0771950\pi\) |
−0.792998 | + | 0.609225i | \(0.791481\pi\) | |||||||
\(234\) | 2.62264e9 | − | 2.09149e9i | 0.874733 | − | 0.697576i | ||||
\(235\) | 2.07661e9 | + | 1.65604e9i | 0.680899 | + | 0.542999i | ||||
\(236\) | −4.80472e8 | + | 2.31383e8i | −0.154889 | + | 0.0745905i | ||||
\(237\) | −6.27863e7 | − | 1.30377e8i | −0.0199008 | − | 0.0413245i | ||||
\(238\) | 5.34001e9 | − | 6.69616e9i | 1.66431 | − | 2.08698i | ||||
\(239\) | 5.68837e8 | + | 7.13299e8i | 0.174340 | + | 0.218615i | 0.861322 | − | 0.508059i | \(-0.169637\pi\) |
−0.686983 | + | 0.726674i | \(0.741065\pi\) | |||||||
\(240\) | −6.20229e8 | + | 2.98687e8i | −0.186942 | + | 0.0900266i | ||||
\(241\) | −4.70554e8 | − | 1.07401e8i | −0.139489 | − | 0.0318375i | 0.152206 | − | 0.988349i | \(-0.451362\pi\) |
−0.291695 | + | 0.956511i | \(0.594219\pi\) | |||||||
\(242\) | 7.11258e9 | + | 1.62340e9i | 2.07379 | + | 0.473330i | ||||
\(243\) | 1.13374e9 | − | 9.04125e8i | 0.325152 | − | 0.259300i | ||||
\(244\) | −1.33696e9 | + | 2.77623e9i | −0.377190 | + | 0.783242i | ||||
\(245\) | 1.19220e10 | − | 2.72113e9i | 3.30892 | − | 0.755239i | ||||
\(246\) | 4.59982e8 | + | 2.21516e8i | 0.125603 | + | 0.0604873i | ||||
\(247\) | −2.03700e9 | − | 1.62446e9i | −0.547273 | − | 0.436436i | ||||
\(248\) | −1.31191e9 | − | 2.99434e8i | −0.346814 | − | 0.0791579i | ||||
\(249\) | −4.91395e8 | − | 3.91875e8i | −0.127830 | − | 0.101941i | ||||
\(250\) | 6.52725e8 | + | 2.85978e9i | 0.167098 | + | 0.732103i | ||||
\(251\) | −7.55032e9 | −1.90226 | −0.951132 | − | 0.308786i | \(-0.900077\pi\) | ||||
−0.951132 | + | 0.308786i | \(0.900077\pi\) | |||||||
\(252\) | − | 5.96288e9i | − | 1.47861i | ||||||
\(253\) | 9.30350e8 | + | 4.07613e9i | 0.227072 | + | 0.994869i | ||||
\(254\) | −1.68705e9 | + | 1.34538e9i | −0.405315 | + | 0.323228i | ||||
\(255\) | 6.99334e8 | − | 3.36781e8i | 0.165396 | − | 0.0796503i | ||||
\(256\) | −4.97452e9 | − | 2.39560e9i | −1.15822 | − | 0.557770i | ||||
\(257\) | 5.52842e9i | 1.26727i | 0.773633 | + | 0.633634i | \(0.218437\pi\) | ||||
−0.773633 | + | 0.633634i | \(0.781563\pi\) | |||||||
\(258\) | 6.62568e7 | + | 8.39943e8i | 0.0149538 | + | 0.189571i | ||||
\(259\) | −1.09983e10 | −2.44415 | ||||||||
\(260\) | 1.64967e9 | − | 3.42557e9i | 0.360997 | − | 0.749617i | ||||
\(261\) | −1.71762e9 | − | 3.56668e9i | −0.370140 | − | 0.768603i | ||||
\(262\) | −3.86732e9 | − | 4.84946e9i | −0.820739 | − | 1.02917i | ||||
\(263\) | 4.61005e9 | − | 1.05221e9i | 0.963568 | − | 0.219928i | 0.288332 | − | 0.957530i | \(-0.406899\pi\) |
0.675235 | + | 0.737602i | \(0.264042\pi\) | |||||||
\(264\) | 3.24805e8 | 0.0668663 | ||||||||
\(265\) | − | 8.49761e9i | − | 1.72311i | ||||||
\(266\) | −1.02918e10 | + | 2.34903e9i | −2.05571 | + | 0.469203i | ||||
\(267\) | −6.32571e7 | + | 7.93218e7i | −0.0124470 | + | 0.0156080i | ||||
\(268\) | −3.53068e8 | + | 1.54689e9i | −0.0684414 | + | 0.299861i | ||||
\(269\) | 2.32265e9 | − | 2.91251e9i | 0.443583 | − | 0.556236i | −0.508900 | − | 0.860825i | \(-0.669948\pi\) |
0.952484 | + | 0.304590i | \(0.0985193\pi\) | |||||||
\(270\) | 1.07995e9 | − | 2.24254e9i | 0.203212 | − | 0.421974i | ||||
\(271\) | 1.95529e9 | + | 8.56671e9i | 0.362523 | + | 1.58832i | 0.746768 | + | 0.665084i | \(0.231604\pi\) |
−0.384246 | + | 0.923231i | \(0.625538\pi\) | |||||||
\(272\) | 5.97957e9 | + | 2.87961e9i | 1.09243 | + | 0.526087i | ||||
\(273\) | 8.15048e8 | + | 1.02204e9i | 0.146735 | + | 0.183999i | ||||
\(274\) | 2.61765e9 | − | 1.14687e10i | 0.464418 | − | 2.03475i | ||||
\(275\) | −1.12273e9 | + | 4.91901e9i | −0.196311 | + | 0.860097i | ||||
\(276\) | −1.77654e8 | − | 3.68901e8i | −0.0306152 | − | 0.0635732i | ||||
\(277\) | −1.37525e9 | + | 1.09672e9i | −0.233594 | + | 0.186285i | −0.733290 | − | 0.679916i | \(-0.762016\pi\) |
0.499696 | + | 0.866201i | \(0.333445\pi\) | |||||||
\(278\) | 4.04994e9 | + | 3.22972e9i | 0.678063 | + | 0.540737i | ||||
\(279\) | 6.52824e9 | − | 3.14383e9i | 1.07740 | − | 0.518851i | ||||
\(280\) | 1.86704e9 | + | 3.87696e9i | 0.303754 | + | 0.630752i | ||||
\(281\) | −3.33651e9 | + | 4.18386e9i | −0.535140 | + | 0.671045i | −0.973747 | − | 0.227635i | \(-0.926901\pi\) |
0.438606 | + | 0.898679i | \(0.355472\pi\) | |||||||
\(282\) | 5.24875e8 | + | 6.58173e8i | 0.0829965 | + | 0.104074i | ||||
\(283\) | 2.05584e9 | − | 9.90039e8i | 0.320511 | − | 0.154350i | −0.266709 | − | 0.963777i | \(-0.585936\pi\) |
0.587221 | + | 0.809427i | \(0.300222\pi\) | |||||||
\(284\) | 4.08550e9 | + | 9.32488e8i | 0.628017 | + | 0.143341i | ||||
\(285\) | −9.32720e8 | − | 2.12887e8i | −0.141375 | − | 0.0322679i | ||||
\(286\) | −9.62048e9 | + | 7.67208e9i | −1.43791 | + | 1.14670i | ||||
\(287\) | 4.16693e9 | − | 8.65271e9i | 0.614169 | − | 1.27534i | ||||
\(288\) | 8.35287e9 | − | 1.90649e9i | 1.21413 | − | 0.277117i | ||||
\(289\) | −4.57267e8 | − | 2.20208e8i | −0.0655509 | − | 0.0315676i | ||||
\(290\) | −7.99599e9 | − | 6.37659e9i | −1.13053 | − | 0.901564i | ||||
\(291\) | −1.48631e9 | − | 3.39242e8i | −0.207271 | − | 0.0473083i | ||||
\(292\) | −4.08960e9 | − | 3.26134e9i | −0.562534 | − | 0.448606i | ||||
\(293\) | −1.76382e9 | − | 7.72782e9i | −0.239323 | − | 1.04854i | −0.941625 | − | 0.336664i | \(-0.890701\pi\) |
0.702302 | − | 0.711879i | \(-0.252156\pi\) | |||||||
\(294\) | 3.87582e9 | 0.518769 | ||||||||
\(295\) | 2.07223e9i | 0.273622i | ||||||||
\(296\) | −6.30192e8 | − | 2.76105e9i | −0.0820930 | − | 0.359673i | ||||
\(297\) | −2.76310e9 | + | 2.20350e9i | −0.355117 | + | 0.283196i | ||||
\(298\) | 1.25588e10 | − | 6.04800e9i | 1.59251 | − | 0.766915i | ||||
\(299\) | −3.90383e9 | − | 1.87999e9i | −0.488435 | − | 0.235218i | ||||
\(300\) | − | 4.94118e8i | − | 0.0610022i | ||||||
\(301\) | 1.58002e10 | − | 1.24636e9i | 1.92484 | − | 0.151836i | ||||
\(302\) | −1.78673e8 | −0.0214799 | ||||||||
\(303\) | −1.66944e7 | + | 3.46663e7i | −0.00198062 | + | 0.00411280i | ||||
\(304\) | −3.54926e9 | − | 7.37011e9i | −0.415569 | − | 0.862938i | ||||
\(305\) | 7.46545e9 | + | 9.36137e9i | 0.862693 | + | 1.08178i | ||||
\(306\) | −1.15775e10 | + | 2.64249e9i | −1.32047 | + | 0.301390i | ||||
\(307\) | −6.30078e9 | −0.709317 | −0.354659 | − | 0.934996i | \(-0.615403\pi\) | ||||
−0.354659 | + | 0.934996i | \(0.615403\pi\) | |||||||
\(308\) | 2.18733e10i | 2.43059i | ||||||||
\(309\) | −1.91619e8 | + | 4.37357e7i | −0.0210186 | + | 0.00479736i | ||||
\(310\) | 1.16713e10 | − | 1.46354e10i | 1.26379 | − | 1.58474i | ||||
\(311\) | −2.29903e9 | + | 1.00727e10i | −0.245755 | + | 1.07672i | 0.689927 | + | 0.723879i | \(0.257643\pi\) |
−0.935682 | + | 0.352845i | \(0.885214\pi\) | |||||||
\(312\) | −2.09874e8 | + | 2.63173e8i | −0.0221483 | + | 0.0277730i | ||||
\(313\) | −1.60655e9 | + | 3.33603e9i | −0.167385 | + | 0.347578i | −0.967741 | − | 0.251947i | \(-0.918929\pi\) |
0.800356 | + | 0.599524i | \(0.204644\pi\) | |||||||
\(314\) | 4.32116e9 | + | 1.89322e10i | 0.444510 | + | 1.94752i | ||||
\(315\) | −2.08760e10 | − | 1.00533e10i | −2.12033 | − | 1.02110i | ||||
\(316\) | 1.56454e9 | + | 1.96187e9i | 0.156906 | + | 0.196753i | ||||
\(317\) | 2.49809e9 | − | 1.09448e10i | 0.247384 | − | 1.08386i | −0.686738 | − | 0.726905i | \(-0.740958\pi\) |
0.934122 | − | 0.356954i | \(-0.116185\pi\) | |||||||
\(318\) | 5.99312e8 | − | 2.62576e9i | 0.0586064 | − | 0.256771i | ||||
\(319\) | 6.30066e9 | + | 1.30834e10i | 0.608447 | + | 1.26345i | ||||
\(320\) | 5.36537e9 | − | 4.27874e9i | 0.511681 | − | 0.408052i | ||||
\(321\) | 7.74152e8 | + | 6.17366e8i | 0.0729132 | + | 0.0581463i | ||||
\(322\) | −1.58172e10 | + | 7.61715e9i | −1.47131 | + | 0.708548i | ||||
\(323\) | 4.00193e9 | + | 8.31010e9i | 0.367671 | + | 0.763477i | ||||
\(324\) | −5.04585e9 | + | 6.32729e9i | −0.457882 | + | 0.574166i | ||||
\(325\) | −3.26017e9 | − | 4.08813e9i | −0.292218 | − | 0.366430i | ||||
\(326\) | 5.29886e9 | − | 2.55180e9i | 0.469150 | − | 0.225931i | ||||
\(327\) | −1.87855e9 | − | 4.28766e8i | −0.164298 | − | 0.0374999i | ||||
\(328\) | 2.41096e9 | + | 5.50285e8i | 0.208302 | + | 0.0475437i | ||||
\(329\) | 1.23809e10 | − | 9.87342e9i | 1.05674 | − | 0.842721i | ||||
\(330\) | −1.96045e9 | + | 4.07093e9i | −0.165311 | + | 0.343271i | ||||
\(331\) | −1.72448e10 | + | 3.93600e9i | −1.43663 | + | 0.327901i | −0.868767 | − | 0.495221i | \(-0.835087\pi\) |
−0.567863 | + | 0.823123i | \(0.692230\pi\) | |||||||
\(332\) | 9.81959e9 | + | 4.72887e9i | 0.808242 | + | 0.389229i | ||||
\(333\) | 1.19226e10 | + | 9.50795e9i | 0.969603 | + | 0.773233i | ||||
\(334\) | 6.73039e9 | + | 1.53617e9i | 0.540822 | + | 0.123439i | ||||
\(335\) | 4.82038e9 | + | 3.84412e9i | 0.382738 | + | 0.305224i | ||||
\(336\) | 9.13293e8 | + | 4.00140e9i | 0.0716561 | + | 0.313946i | ||||
\(337\) | −1.89150e10 | −1.46652 | −0.733258 | − | 0.679950i | \(-0.762001\pi\) | ||||
−0.733258 | + | 0.679950i | \(0.762001\pi\) | |||||||
\(338\) | 4.66891e9i | 0.357724i | ||||||||
\(339\) | 4.85762e8 | + | 2.12826e9i | 0.0367811 | + | 0.161149i | ||||
\(340\) | −1.05233e10 | + | 8.39208e9i | −0.787477 | + | 0.627992i | ||||
\(341\) | −2.39471e10 | + | 1.15323e10i | −1.77107 | + | 0.852903i | ||||
\(342\) | 1.31873e10 | + | 6.35069e9i | 0.963946 | + | 0.464212i | ||||
\(343\) | − | 4.61829e10i | − | 3.33660i | ||||||
\(344\) | 1.21822e9 | + | 3.89509e9i | 0.0869944 | + | 0.278153i | ||||
\(345\) | −1.59104e9 | −0.112306 | ||||||||
\(346\) | 5.79994e9 | − | 1.20437e10i | 0.404687 | − | 0.840341i | ||||
\(347\) | 2.30855e9 | + | 4.79375e9i | 0.159229 | + | 0.330642i | 0.965286 | − | 0.261196i | \(-0.0841169\pi\) |
−0.806057 | + | 0.591838i | \(0.798403\pi\) | |||||||
\(348\) | −8.86680e8 | − | 1.11186e9i | −0.0604574 | − | 0.0758112i | ||||
\(349\) | −1.05660e10 | + | 2.41163e9i | −0.712213 | + | 0.162558i | −0.563252 | − | 0.826285i | \(-0.690450\pi\) |
−0.148961 | + | 0.988843i | \(0.547593\pi\) | |||||||
\(350\) | −2.11860e10 | −1.41181 | ||||||||
\(351\) | − | 3.66260e9i | − | 0.241302i | ||||||
\(352\) | −3.06403e10 | + | 6.99345e9i | −1.99583 | + | 0.455534i | ||||
\(353\) | 4.36258e9 | − | 5.47050e9i | 0.280960 | − | 0.352312i | −0.621248 | − | 0.783614i | \(-0.713374\pi\) |
0.902208 | + | 0.431302i | \(0.141945\pi\) | |||||||
\(354\) | −1.46149e8 | + | 6.40320e8i | −0.00930641 | + | 0.0407741i | ||||
\(355\) | 1.01527e10 | − | 1.27311e10i | 0.639247 | − | 0.801591i | ||||
\(356\) | 7.63342e8 | − | 1.58510e9i | 0.0475246 | − | 0.0986860i | ||||
\(357\) | −1.02978e9 | − | 4.51174e9i | −0.0633971 | − | 0.277761i | ||||
\(358\) | 2.97904e10 | + | 1.43463e10i | 1.81361 | + | 0.873390i | ||||
\(359\) | −1.18777e10 | − | 1.48942e10i | −0.715081 | − | 0.896683i | 0.282968 | − | 0.959129i | \(-0.408681\pi\) |
−0.998048 | + | 0.0624468i | \(0.980110\pi\) | |||||||
\(360\) | 1.32765e9 | − | 5.81680e9i | 0.0790447 | − | 0.346317i | ||||
\(361\) | −1.24949e9 | + | 5.47435e9i | −0.0735703 | + | 0.322332i | ||||
\(362\) | 5.16335e9 | + | 1.07218e10i | 0.300675 | + | 0.624359i | ||||
\(363\) | 3.08196e9 | − | 2.45778e9i | 0.177501 | − | 0.141552i | ||||
\(364\) | −1.77228e10 | − | 1.41335e10i | −1.00955 | − | 0.805089i | ||||
\(365\) | −1.83129e10 | + | 8.81904e9i | −1.03178 | + | 0.496878i | ||||
\(366\) | 1.64659e9 | + | 3.41918e9i | 0.0917616 | + | 0.190545i | ||||
\(367\) | −8.55064e7 | + | 1.07222e8i | −0.00471340 | + | 0.00591042i | −0.784183 | − | 0.620530i | \(-0.786917\pi\) |
0.779469 | + | 0.626441i | \(0.215489\pi\) | |||||||
\(368\) | −8.48196e9 | − | 1.06360e10i | −0.462493 | − | 0.579947i | ||||
\(369\) | −1.19973e10 | + | 5.77758e9i | −0.647109 | + | 0.311631i | ||||
\(370\) | 3.84092e10 | + | 8.76665e9i | 2.04941 | + | 0.467764i | ||||
\(371\) | −4.93931e10 | − | 1.12736e10i | −2.60718 | − | 0.595071i | ||||
\(372\) | 2.03508e9 | − | 1.62292e9i | 0.106270 | − | 0.0847474i | ||||
\(373\) | −6.00068e8 | + | 1.24605e9i | −0.0310003 | + | 0.0643727i | −0.915894 | − | 0.401420i | \(-0.868517\pi\) |
0.884894 | + | 0.465793i | \(0.154231\pi\) | |||||||
\(374\) | 4.24692e10 | − | 9.69331e9i | 2.17064 | − | 0.495434i | ||||
\(375\) | 1.42800e9 | + | 6.87688e8i | 0.0722109 | + | 0.0347750i | ||||
\(376\) | 3.18806e9 | + | 2.54239e9i | 0.159505 | + | 0.127201i | ||||
\(377\) | −1.46720e10 | − | 3.34880e9i | −0.726316 | − | 0.165777i | ||||
\(378\) | −1.16022e10 | − | 9.25246e9i | −0.568295 | − | 0.453200i | ||||
\(379\) | 3.36978e9 | + | 1.47640e10i | 0.163322 | + | 0.715561i | 0.988567 | + | 0.150785i | \(0.0481802\pi\) |
−0.825244 | + | 0.564776i | \(0.808963\pi\) | |||||||
\(380\) | 1.65899e10 | 0.795628 | ||||||||
\(381\) | 1.16593e9i | 0.0553316i | ||||||||
\(382\) | 1.85745e9 | + | 8.13801e9i | 0.0872295 | + | 0.382177i | ||||
\(383\) | 5.60157e9 | − | 4.46710e9i | 0.260324 | − | 0.207602i | −0.484626 | − | 0.874721i | \(-0.661044\pi\) |
0.744951 | + | 0.667120i | \(0.232473\pi\) | |||||||
\(384\) | −1.58797e9 | + | 7.64726e8i | −0.0730327 | + | 0.0351707i | ||||
\(385\) | 7.65781e10 | + | 3.68781e10i | 3.48547 | + | 1.67851i | ||||
\(386\) | − | 3.02552e10i | − | 1.36286i | ||||||
\(387\) | −1.82054e10 | − | 1.23080e10i | −0.811626 | − | 0.548710i | ||||
\(388\) | 2.64365e10 | 1.16648 | ||||||||
\(389\) | −8.97485e9 | + | 1.86365e10i | −0.391948 | + | 0.813889i | 0.607855 | + | 0.794048i | \(0.292030\pi\) |
−0.999803 | + | 0.0198407i | \(0.993684\pi\) | |||||||
\(390\) | −2.03171e9 | − | 4.21890e9i | −0.0878222 | − | 0.182365i | ||||
\(391\) | 9.56375e9 | + | 1.19926e10i | 0.409186 | + | 0.513104i | ||||
\(392\) | 1.83030e10 | − | 4.17754e9i | 0.775136 | − | 0.176920i | ||||
\(393\) | −3.35150e9 | −0.140498 | ||||||||
\(394\) | − | 1.10324e10i | − | 0.457810i | ||||||
\(395\) | 9.50628e9 | − | 2.16975e9i | 0.390501 | − | 0.0891293i | ||||
\(396\) | 1.89092e10 | − | 2.37114e10i | 0.768941 | − | 0.964222i | ||||
\(397\) | 8.22609e9 | − | 3.60409e10i | 0.331155 | − | 1.45089i | −0.485742 | − | 0.874102i | \(-0.661451\pi\) |
0.816897 | − | 0.576783i | \(-0.195692\pi\) | |||||||
\(398\) | 2.07584e10 | − | 2.60302e10i | 0.827296 | − | 1.03740i | ||||
\(399\) | −2.47485e9 | + | 5.13908e9i | −0.0976466 | + | 0.202765i | ||||
\(400\) | −3.65315e9 | − | 1.60055e10i | −0.142701 | − | 0.625215i | ||||
\(401\) | 7.00316e9 | + | 3.37254e9i | 0.270842 | + | 0.130431i | 0.564376 | − | 0.825518i | \(-0.309117\pi\) |
−0.293533 | + | 0.955949i | \(0.594831\pi\) | |||||||
\(402\) | 1.21838e9 | + | 1.52780e9i | 0.0466529 | + | 0.0585009i | ||||
\(403\) | 6.12944e9 | − | 2.68548e10i | 0.232381 | − | 1.01813i | ||||
\(404\) | 1.48469e8 | − | 6.50484e8i | 0.00557326 | − | 0.0244181i | ||||
\(405\) | 1.36445e10 | + | 2.83332e10i | 0.507153 | + | 1.05311i | ||||
\(406\) | −4.76727e10 | + | 3.80177e10i | −1.75455 | + | 1.39921i | ||||
\(407\) | −4.37350e10 | − | 3.48775e10i | −1.59386 | − | 1.27106i | ||||
\(408\) | 1.07363e9 | − | 5.17035e8i | 0.0387450 | − | 0.0186586i | ||||
\(409\) | 2.05664e10 | + | 4.27066e10i | 0.734963 | + | 1.52617i | 0.846489 | + | 0.532406i | \(0.178712\pi\) |
−0.111526 | + | 0.993762i | \(0.535574\pi\) | |||||||
\(410\) | −2.14490e10 | + | 2.68962e10i | −0.759052 | + | 0.951821i | ||||
\(411\) | −3.96304e9 | − | 4.96950e9i | −0.138887 | − | 0.174159i | ||||
\(412\) | 3.07073e9 | − | 1.47878e9i | 0.106574 | − | 0.0513235i | ||||
\(413\) | 1.20450e10 | + | 2.74920e9i | 0.414007 | + | 0.0944945i | ||||
\(414\) | 2.37313e10 | + | 5.41652e9i | 0.807832 | + | 0.184382i | ||||
\(415\) | 3.31114e10 | − | 2.64055e10i | 1.11631 | − | 0.890229i | ||||
\(416\) | 1.41319e10 | − | 2.93452e10i | 0.471875 | − | 0.979858i | ||||
\(417\) | 2.72877e9 | − | 6.22824e8i | 0.0902449 | − | 0.0205978i | ||||
\(418\) | −4.83743e10 | − | 2.32958e10i | −1.58456 | − | 0.763086i | ||||
\(419\) | 2.06515e10 | + | 1.64690e10i | 0.670032 | + | 0.534333i | 0.898365 | − | 0.439251i | \(-0.144756\pi\) |
−0.228333 | + | 0.973583i | \(0.573327\pi\) | |||||||
\(420\) | −8.11507e9 | − | 1.85221e9i | −0.260792 | − | 0.0595242i | ||||
\(421\) | 1.00664e10 | + | 8.02765e9i | 0.320438 | + | 0.255541i | 0.770477 | − | 0.637468i | \(-0.220018\pi\) |
−0.450039 | + | 0.893009i | \(0.648590\pi\) | |||||||
\(422\) | 1.46689e10 | + | 6.42687e10i | 0.462539 | + | 2.02651i | ||||
\(423\) | −2.19568e10 | −0.685815 | ||||||||
\(424\) | − | 1.30457e10i | − | 0.403650i | ||||||
\(425\) | 4.11908e9 | + | 1.80468e10i | 0.126254 | + | 0.553153i | ||||
\(426\) | 4.03508e9 | − | 3.21787e9i | 0.122522 | − | 0.0977078i | ||||
\(427\) | 6.43181e10 | − | 3.09740e10i | 1.93474 | − | 0.931719i | ||||
\(428\) | −1.54699e10 | − | 7.44993e9i | −0.461013 | − | 0.222012i | ||||
\(429\) | 6.64879e9i | 0.196297i | ||||||||
\(430\) | −5.61718e10 | − | 8.24150e9i | −1.64303 | − | 0.241064i | ||||
\(431\) | −3.62906e10 | −1.05168 | −0.525841 | − | 0.850583i | \(-0.676249\pi\) | ||||
−0.525841 | + | 0.850583i | \(0.676249\pi\) | |||||||
\(432\) | 4.98940e9 | − | 1.03606e10i | 0.143256 | − | 0.297475i | ||||
\(433\) | 7.15048e9 | + | 1.48481e10i | 0.203415 | + | 0.422396i | 0.977573 | − | 0.210597i | \(-0.0675406\pi\) |
−0.774158 | + | 0.632993i | \(0.781826\pi\) | |||||||
\(434\) | −6.95852e10 | − | 8.72571e10i | −1.96136 | − | 2.45947i | ||||
\(435\) | −5.38754e9 | + | 1.22967e9i | −0.150464 | + | 0.0343425i | ||||
\(436\) | 3.34130e10 | 0.924634 | ||||||||
\(437\) | − | 1.89061e10i | − | 0.518415i | ||||||
\(438\) | −6.28067e9 | + | 1.43352e9i | −0.170651 | + | 0.0389500i | ||||
\(439\) | −1.21666e10 | + | 1.52564e10i | −0.327575 | + | 0.410766i | −0.918160 | − | 0.396209i | \(-0.870325\pi\) |
0.590585 | + | 0.806975i | \(0.298897\pi\) | |||||||
\(440\) | −4.87013e9 | + | 2.13374e10i | −0.129936 | + | 0.569287i | ||||
\(441\) | −6.30282e10 | + | 7.90348e10i | −1.66640 | + | 2.08960i | ||||
\(442\) | −1.95876e10 | + | 4.06740e10i | −0.513205 | + | 1.06568i | ||||
\(443\) | 2.53579e9 | + | 1.11100e10i | 0.0658414 | + | 0.288470i | 0.997120 | − | 0.0758373i | \(-0.0241630\pi\) |
−0.931279 | + | 0.364307i | \(0.881306\pi\) | |||||||
\(444\) | 4.93572e9 | + | 2.37692e9i | 0.127004 | + | 0.0611621i | ||||
\(445\) | −4.26241e9 | − | 5.34490e9i | −0.108697 | − | 0.136301i | ||||
\(446\) | −1.62033e10 | + | 7.09911e10i | −0.409509 | + | 1.79417i | ||||
\(447\) | 1.67598e9 | − | 7.34294e9i | 0.0419796 | − | 0.183925i | ||||
\(448\) | −1.77524e10 | − | 3.68632e10i | −0.440701 | − | 0.915126i | ||||
\(449\) | 2.41356e10 | − | 1.92475e10i | 0.593846 | − | 0.473576i | −0.279854 | − | 0.960043i | \(-0.590286\pi\) |
0.873699 | + | 0.486467i | \(0.161714\pi\) | |||||||
\(450\) | 2.29664e10 | + | 1.83151e10i | 0.560071 | + | 0.446641i | ||||
\(451\) | 4.40089e10 | − | 2.11936e10i | 1.06374 | − | 0.512269i | ||||
\(452\) | −1.64245e10 | − | 3.41058e10i | −0.393494 | − | 0.817099i | ||||
\(453\) | −6.01932e7 | + | 7.54799e7i | −0.00142940 | + | 0.00179242i | ||||
\(454\) | −1.67835e10 | − | 2.10459e10i | −0.395057 | − | 0.495386i | ||||
\(455\) | −7.93616e10 | + | 3.82185e10i | −1.85168 | + | 0.891720i | ||||
\(456\) | −1.43193e9 | − | 3.26829e8i | −0.0331180 | − | 0.00755896i | ||||
\(457\) | −4.25424e10 | − | 9.71003e9i | −0.975343 | − | 0.222616i | −0.294990 | − | 0.955500i | \(-0.595316\pi\) |
−0.680353 | + | 0.732885i | \(0.738173\pi\) | |||||||
\(458\) | 2.40876e10 | − | 1.92092e10i | 0.547434 | − | 0.436564i | ||||
\(459\) | −5.62575e9 | + | 1.16820e10i | −0.126745 | + | 0.263188i | ||||
\(460\) | 2.68980e10 | − | 6.13929e9i | 0.600742 | − | 0.137116i | ||||
\(461\) | 7.68493e9 | + | 3.70087e9i | 0.170152 | + | 0.0819407i | 0.517021 | − | 0.855973i | \(-0.327041\pi\) |
−0.346869 | + | 0.937913i | \(0.612755\pi\) | |||||||
\(462\) | 2.10617e10 | + | 1.67961e10i | 0.462302 | + | 0.368673i | ||||
\(463\) | −5.40134e10 | − | 1.23282e10i | −1.17538 | − | 0.268272i | −0.410141 | − | 0.912022i | \(-0.634521\pi\) |
−0.765236 | + | 0.643750i | \(0.777378\pi\) | |||||||
\(464\) | −3.69417e10 | − | 2.94600e10i | −0.796975 | − | 0.635566i | ||||
\(465\) | −2.25071e9 | − | 9.86103e9i | −0.0481403 | − | 0.210916i | ||||
\(466\) | −2.57849e10 | −0.546793 | ||||||||
\(467\) | 1.23460e10i | 0.259572i | 0.991542 | + | 0.129786i | \(0.0414291\pi\) | ||||
−0.991542 | + | 0.129786i | \(0.958571\pi\) | |||||||
\(468\) | 6.99393e9 | + | 3.06424e10i | 0.145793 | + | 0.638763i | ||||
\(469\) | 2.87394e10 | − | 2.29189e10i | 0.594000 | − | 0.473699i | ||||
\(470\) | −5.11073e10 | + | 2.46120e10i | −1.04735 | + | 0.504377i | ||||
\(471\) | 9.45361e9 | + | 4.55262e9i | 0.192094 | + | 0.0925076i | ||||
\(472\) | 3.18134e9i | 0.0640977i | ||||||||
\(473\) | 6.67818e10 | + | 4.51486e10i | 1.33418 | + | 0.901986i | ||||
\(474\) | 3.09046e9 | 0.0612224 | ||||||||
\(475\) | 9.89934e9 | − | 2.05562e10i | 0.194461 | − | 0.403802i | ||||
\(476\) | 3.48186e10 | + | 7.23015e10i | 0.678239 | + | 1.40838i | ||||
\(477\) | 4.37979e10 | + | 5.49208e10i | 0.846019 | + | 1.06087i | ||||
\(478\) | −1.89960e10 | + | 4.33572e9i | −0.363874 | + | 0.0830520i | ||||
\(479\) | 5.41028e10 | 1.02773 | 0.513864 | − | 0.857872i | \(-0.328214\pi\) | ||||
0.513864 | + | 0.857872i | \(0.328214\pi\) | |||||||
\(480\) | − | 1.19599e10i | − | 0.225300i | ||||||
\(481\) | 5.65189e10 | − | 1.29001e10i | 1.05588 | − | 0.240997i | ||||
\(482\) | 6.42685e9 | − | 8.05901e9i | 0.119072 | − | 0.149312i | ||||
\(483\) | −2.11081e9 | + | 9.24806e9i | −0.0387847 | + | 0.169927i | ||||
\(484\) | −4.26195e10 | + | 5.34432e10i | −0.776653 | + | 0.973892i | ||||
\(485\) | 4.45716e10 | − | 9.25539e10i | 0.805548 | − | 1.67274i | ||||
\(486\) | 6.89131e9 | + | 3.01928e10i | 0.123526 | + | 0.541201i | ||||
\(487\) | −3.61234e10 | − | 1.73961e10i | −0.642203 | − | 0.309269i | 0.0842914 | − | 0.996441i | \(-0.473137\pi\) |
−0.726494 | + | 0.687173i | \(0.758852\pi\) | |||||||
\(488\) | 1.14611e10 | + | 1.43718e10i | 0.202092 | + | 0.253415i | ||||
\(489\) | 7.07135e8 | − | 3.09816e9i | 0.0123671 | − | 0.0541837i | ||||
\(490\) | −5.81140e10 | + | 2.54614e11i | −1.00808 | + | 4.41670i | ||||
\(491\) | 1.91664e10 | + | 3.97994e10i | 0.329772 | + | 0.684779i | 0.998261 | − | 0.0589427i | \(-0.0187729\pi\) |
−0.668489 | + | 0.743722i | \(0.733059\pi\) | |||||||
\(492\) | −3.73998e9 | + | 2.98253e9i | −0.0638276 | + | 0.0509008i | ||||
\(493\) | 4.16533e10 | + | 3.32174e10i | 0.705117 | + | 0.562312i | ||||
\(494\) | 5.01327e10 | − | 2.41426e10i | 0.841808 | − | 0.405393i | ||||
\(495\) | −5.11327e10 | − | 1.06178e11i | −0.851683 | − | 1.76854i | ||||
\(496\) | 5.39218e10 | − | 6.76158e10i | 0.890918 | − | 1.11718i | ||||
\(497\) | −6.05312e10 | − | 7.59037e10i | −0.992096 | − | 1.24405i | ||||
\(498\) | 1.20937e10 | − | 5.82403e9i | 0.196627 | − | 0.0946904i | ||||
\(499\) | 4.32403e9 | + | 9.86931e8i | 0.0697407 | + | 0.0159179i | 0.257249 | − | 0.966345i | \(-0.417184\pi\) |
−0.187508 | + | 0.982263i | \(0.560041\pi\) | |||||||
\(500\) | −2.67952e10 | − | 6.11582e9i | −0.428723 | − | 0.0978532i | ||||
\(501\) | 2.91635e9 | − | 2.32571e9i | 0.0462902 | − | 0.0369152i | ||||
\(502\) | 6.99634e10 | − | 1.45281e11i | 1.10168 | − | 2.28767i | ||||
\(503\) | −2.47203e10 | + | 5.64224e9i | −0.386173 | + | 0.0881414i | −0.411199 | − | 0.911545i | \(-0.634890\pi\) |
0.0250268 | + | 0.999687i | \(0.492033\pi\) | |||||||
\(504\) | −3.20493e10 | − | 1.54341e10i | −0.496702 | − | 0.239199i | ||||
\(505\) | −2.02702e9 | − | 1.61649e9i | −0.0311668 | − | 0.0248547i | ||||
\(506\) | −8.70523e10 | − | 1.98691e10i | −1.32794 | − | 0.303093i | ||||
\(507\) | 1.97236e9 | + | 1.57291e9i | 0.0298508 | + | 0.0238052i | ||||
\(508\) | −4.49894e9 | − | 1.97111e10i | −0.0675546 | − | 0.295976i | ||||
\(509\) | −3.83640e10 | −0.571548 | −0.285774 | − | 0.958297i | \(-0.592251\pi\) | ||||
−0.285774 | + | 0.958297i | \(0.592251\pi\) | |||||||
\(510\) | 1.65770e10i | 0.245034i | ||||||||
\(511\) | 2.69659e10 | + | 1.18146e11i | 0.395487 | + | 1.73274i | ||||
\(512\) | 6.16207e10 | − | 4.91408e10i | 0.896699 | − | 0.715093i | ||||
\(513\) | 1.43986e10 | − | 6.93402e9i | 0.207899 | − | 0.100119i | ||||
\(514\) | −1.06376e11 | − | 5.12279e10i | −1.52402 | − | 0.733929i | ||||
\(515\) | − | 1.32438e10i | − | 0.188271i | ||||||
\(516\) | −7.35998e9 | − | 2.85534e9i | −0.103819 | − | 0.0402771i | ||||
\(517\) | 8.05427e10 | 1.12736 | ||||||||
\(518\) | 1.01914e11 | − | 2.11626e11i | 1.41551 | − | 2.93934i | ||||
\(519\) | −3.13388e9 | − | 6.50757e9i | −0.0431930 | − | 0.0896911i | ||||
\(520\) | −1.41418e10 | − | 1.77333e10i | −0.193416 | − | 0.242535i | ||||
\(521\) | −2.86085e10 | + | 6.52971e9i | −0.388280 | + | 0.0886223i | −0.412204 | − | 0.911091i | \(-0.635241\pi\) |
0.0239245 | + | 0.999714i | \(0.492384\pi\) | |||||||
\(522\) | 8.45448e10 | 1.13869 | ||||||||
\(523\) | 8.66434e10i | 1.15805i | 0.815309 | + | 0.579027i | \(0.196567\pi\) | ||||
−0.815309 | + | 0.579027i | \(0.803433\pi\) | |||||||
\(524\) | 5.66602e10 | − | 1.29323e10i | 0.751541 | − | 0.171534i | ||||
\(525\) | −7.13736e9 | + | 8.94996e9i | −0.0939507 | + | 0.117810i | ||||
\(526\) | −2.24717e10 | + | 9.84549e10i | −0.293557 | + | 1.28616i | ||||
\(527\) | −6.07990e10 | + | 7.62396e10i | −0.788232 | + | 0.988412i | ||||
\(528\) | −9.05735e9 | + | 1.88078e10i | −0.116537 | + | 0.241992i | ||||
\(529\) | 1.04294e10 | + | 4.56942e10i | 0.133179 | + | 0.583497i | ||||
\(530\) | 1.63508e11 | + | 7.87412e10i | 2.07222 | + | 0.997927i | ||||
\(531\) | −1.06806e10 | − | 1.33930e10i | −0.134344 | − | 0.168462i | ||||
\(532\) | 2.20096e10 | − | 9.64304e10i | 0.274768 | − | 1.20384i | ||||
\(533\) | −1.12644e10 | + | 4.93525e10i | −0.139572 | + | 0.611505i | ||||
\(534\) | −9.40124e8 | − | 1.95219e9i | −0.0115617 | − | 0.0240080i | ||||
\(535\) | −5.21642e10 | + | 4.15996e10i | −0.636733 | + | 0.507778i | ||||
\(536\) | 7.40036e9 | + | 5.90159e9i | 0.0896590 | + | 0.0715006i | ||||
\(537\) | 1.60967e10 | − | 7.75174e9i | 0.193570 | − | 0.0932185i | ||||
\(538\) | 3.45192e10 | + | 7.16798e10i | 0.412032 | + | 0.855594i | ||||
\(539\) | 2.31203e11 | − | 2.89919e11i | 2.73929 | − | 3.43496i | ||||
\(540\) | 1.45407e10 | + | 1.82334e10i | 0.171005 | + | 0.214434i | ||||
\(541\) | 4.21465e10 | − | 2.02967e10i | 0.492008 | − | 0.236939i | −0.171393 | − | 0.985203i | \(-0.554827\pi\) |
0.663401 | + | 0.748264i | \(0.269112\pi\) | |||||||
\(542\) | −1.82956e11 | − | 4.17585e10i | −2.12006 | − | 0.483891i | ||||
\(543\) | 6.26888e9 | + | 1.43083e9i | 0.0721092 | + | 0.0164584i | ||||
\(544\) | −9.01483e10 | + | 7.18909e10i | −1.02935 | + | 0.820877i | ||||
\(545\) | 5.63339e10 | − | 1.16979e11i | 0.638534 | − | 1.32593i | ||||
\(546\) | −2.72182e10 | + | 6.21237e9i | −0.306258 | + | 0.0699015i | ||||
\(547\) | −1.40756e11 | − | 6.77845e10i | −1.57224 | − | 0.757149i | −0.574135 | − | 0.818761i | \(-0.694662\pi\) |
−0.998100 | + | 0.0616121i | \(0.980376\pi\) | |||||||
\(548\) | 8.61744e10 | + | 6.87218e10i | 0.955556 | + | 0.762031i | ||||
\(549\) | −9.64998e10 | − | 2.20254e10i | −1.06227 | − | 0.242457i | ||||
\(550\) | −8.42463e10 | − | 6.71842e10i | −0.920662 | − | 0.734203i | ||||
\(551\) | −1.46120e10 | − | 6.40195e10i | −0.158527 | − | 0.694554i | ||||
\(552\) | −2.44260e9 | −0.0263085 | ||||||||
\(553\) | − | 5.81346e10i | − | 0.621633i | ||||||
\(554\) | −8.35931e9 | − | 3.66245e10i | −0.0887424 | − | 0.388806i | ||||
\(555\) | 1.66431e10 | − | 1.32724e10i | 0.175413 | − | 0.139887i | ||||
\(556\) | −4.37291e10 | + | 2.10588e10i | −0.457584 | + | 0.220361i | ||||
\(557\) | 8.83468e10 | + | 4.25456e10i | 0.917847 | + | 0.442012i | 0.832302 | − | 0.554323i | \(-0.187023\pi\) |
0.0855447 | + | 0.996334i | \(0.472737\pi\) | |||||||
\(558\) | 1.54746e11i | 1.59618i | ||||||||
\(559\) | −7.97329e10 | + | 2.49370e10i | −0.816564 | + | 0.255386i | ||||
\(560\) | −2.76558e11 | −2.81212 | ||||||||
\(561\) | 1.02125e10 | − | 2.12065e10i | 0.103105 | − | 0.214101i | ||||
\(562\) | −4.95871e10 | − | 1.02969e11i | −0.497077 | − | 1.03219i | ||||
\(563\) | 2.68093e10 | + | 3.36178e10i | 0.266841 | + | 0.334608i | 0.897142 | − | 0.441743i | \(-0.145640\pi\) |
−0.630301 | + | 0.776351i | \(0.717068\pi\) | |||||||
\(564\) | −7.68996e9 | + | 1.75518e9i | −0.0759989 | + | 0.0173463i | ||||
\(565\) | −1.47096e11 | −1.44346 | ||||||||
\(566\) | 4.87317e10i | 0.474838i | ||||||||
\(567\) | 1.82791e11 | − | 4.17208e10i | 1.76857 | − | 0.403665i | ||||
\(568\) | 1.55867e10 | − | 1.95451e10i | 0.149748 | − | 0.187778i | ||||
\(569\) | −1.51532e10 | + | 6.63905e10i | −0.144562 | + | 0.633369i | 0.849779 | + | 0.527139i | \(0.176735\pi\) |
−0.994342 | + | 0.106230i | \(0.966122\pi\) | |||||||
\(570\) | 1.27391e10 | − | 1.59744e10i | 0.120682 | − | 0.151330i | ||||
\(571\) | −6.65607e10 | + | 1.38215e11i | −0.626143 | + | 1.30020i | 0.310720 | + | 0.950502i | \(0.399430\pi\) |
−0.936863 | + | 0.349698i | \(0.886284\pi\) | |||||||
\(572\) | −2.56554e10 | − | 1.12404e11i | −0.239660 | − | 1.05002i | ||||
\(573\) | 4.06363e9 | + | 1.95694e9i | 0.0376961 | + | 0.0181535i | ||||
\(574\) | 1.27880e11 | + | 1.60357e11i | 1.17803 | + | 1.47720i | ||||
\(575\) | 8.44319e9 | − | 3.69920e10i | 0.0772387 | − | 0.338405i | ||||
\(576\) | −1.26236e10 | + | 5.53078e10i | −0.114682 | + | 0.502454i | ||||
\(577\) | 7.05906e10 | + | 1.46583e11i | 0.636860 | + | 1.32245i | 0.930414 | + | 0.366511i | \(0.119448\pi\) |
−0.293554 | + | 0.955943i | \(0.594838\pi\) | |||||||
\(578\) | 8.47433e9 | − | 6.75805e9i | 0.0759266 | − | 0.0605494i | ||||
\(579\) | −1.27812e10 | − | 1.01927e10i | −0.113725 | − | 0.0906930i | ||||
\(580\) | 8.63364e10 | − | 4.15774e10i | 0.762925 | − | 0.367405i | ||||
\(581\) | −1.09556e11 | − | 2.27495e11i | −0.961458 | − | 1.99649i | ||||
\(582\) | 2.03002e10 | − | 2.54556e10i | 0.176933 | − | 0.221866i | ||||
\(583\) | −1.60661e11 | − | 2.01463e11i | −1.39071 | − | 1.74390i | ||||
\(584\) | −2.81144e10 | + | 1.35392e10i | −0.241701 | + | 0.116397i | ||||
\(585\) | 1.19070e11 | + | 2.71770e10i | 1.01667 | + | 0.232048i | ||||
\(586\) | 1.65040e11 | + | 3.76693e10i | 1.39958 | + | 0.319446i | ||||
\(587\) | 5.38817e10 | − | 4.29693e10i | 0.453826 | − | 0.361914i | −0.369740 | − | 0.929135i | \(-0.620553\pi\) |
0.823565 | + | 0.567221i | \(0.191982\pi\) | |||||||
\(588\) | −1.57566e10 | + | 3.27188e10i | −0.131811 | + | 0.273709i | ||||
\(589\) | 1.17177e11 | − | 2.67450e10i | 0.973605 | − | 0.222219i | ||||
\(590\) | −3.98732e10 | − | 1.92019e10i | −0.329058 | − | 0.158466i | ||||
\(591\) | −4.66061e9 | − | 3.71671e9i | −0.0382026 | − | 0.0304655i | ||||
\(592\) | 1.77451e11 | + | 4.05021e10i | 1.44475 | + | 0.329755i | ||||
\(593\) | −1.07451e11 | − | 8.56895e10i | −0.868946 | − | 0.692961i | 0.0838810 | − | 0.996476i | \(-0.473268\pi\) |
−0.952827 | + | 0.303515i | \(0.901840\pi\) | |||||||
\(594\) | −1.67953e10 | − | 7.35849e10i | −0.134909 | − | 0.591075i | ||||
\(595\) | 3.11830e11 | 2.48800 | ||||||||
\(596\) | 1.30606e11i | 1.03509i | ||||||||
\(597\) | −4.00307e9 | − | 1.75386e10i | −0.0315135 | − | 0.138069i | ||||
\(598\) | 7.23480e10 | − | 5.76956e10i | 0.565747 | − | 0.451168i | ||||
\(599\) | 1.05885e10 | − | 5.09916e9i | 0.0822484 | − | 0.0396087i | −0.392307 | − | 0.919834i | \(-0.628323\pi\) |
0.474556 | + | 0.880225i | \(0.342609\pi\) | |||||||
\(600\) | −2.65578e9 | − | 1.27896e9i | −0.0204922 | − | 0.00986850i | ||||
\(601\) | 2.00984e11i | 1.54051i | 0.637738 | + | 0.770253i | \(0.279870\pi\) | ||||
−0.637738 | + | 0.770253i | \(0.720130\pi\) | |||||||
\(602\) | −1.22427e11 | + | 3.15570e11i | −0.932160 | + | 2.40275i | ||||
\(603\) | −5.09677e10 | −0.385502 | ||||||||
\(604\) | 7.26369e8 | − | 1.50832e9i | 0.00545770 | − | 0.0113330i | ||||
\(605\) | 1.15248e11 | + | 2.39315e11i | 0.860225 | + | 1.78628i | ||||
\(606\) | −5.12342e8 | − | 6.42456e8i | −0.00379900 | − | 0.00476379i | ||||
\(607\) | −1.73809e11 | + | 3.96708e10i | −1.28032 | + | 0.292225i | −0.807989 | − | 0.589197i | \(-0.799444\pi\) |
−0.472330 | + | 0.881422i | \(0.656587\pi\) | |||||||
\(608\) | 1.42118e11 | 1.04000 | ||||||||
\(609\) | 3.29469e10i | 0.239522i | ||||||||
\(610\) | −2.49305e11 | + | 5.69023e10i | −1.80058 | + | 0.410970i | ||||
\(611\) | −5.20429e10 | + | 6.52598e10i | −0.373419 | + | 0.468253i | ||||
\(612\) | 2.47593e10 | − | 1.08478e11i | 0.176495 | − | 0.773276i | ||||
\(613\) | −1.59972e10 | + | 2.00598e10i | −0.113293 | + | 0.142065i | −0.835244 | − | 0.549879i | \(-0.814674\pi\) |
0.721952 | + | 0.691943i | \(0.243245\pi\) | |||||||
\(614\) | 5.83848e10 | − | 1.21237e11i | 0.410796 | − | 0.853026i | ||||
\(615\) | 4.13625e9 | + | 1.81221e10i | 0.0289139 | + | 0.126680i | ||||
\(616\) | 1.17564e11 | + | 5.66161e10i | 0.816495 | + | 0.393203i | ||||
\(617\) | −1.39863e11 | − | 1.75383e11i | −0.965078 | − | 1.21017i | −0.977648 | − | 0.210249i | \(-0.932573\pi\) |
0.0125700 | − | 0.999921i | \(-0.495999\pi\) | |||||||
\(618\) | 9.34047e8 | − | 4.09233e9i | 0.00640346 | − | 0.0280554i | ||||
\(619\) | −4.04191e10 | + | 1.77088e11i | −0.275311 | + | 1.20622i | 0.628337 | + | 0.777942i | \(0.283736\pi\) |
−0.903648 | + | 0.428276i | \(0.859121\pi\) | |||||||
\(620\) | 7.61007e10 | + | 1.58025e11i | 0.515018 | + | 1.06945i | ||||
\(621\) | 2.07791e10 | − | 1.65708e10i | 0.139721 | − | 0.111424i | ||||
\(622\) | −1.72512e11 | − | 1.37574e11i | −1.15254 | − | 0.919123i | ||||
\(623\) | −3.67226e10 | + | 1.76847e10i | −0.243770 | + | 0.117394i | ||||
\(624\) | −9.38657e9 | − | 1.94914e10i | −0.0619111 | − | 0.128560i | ||||
\(625\) | −1.18704e11 | + | 1.48850e11i | −0.777938 | + | 0.975503i | ||||
\(626\) | −4.93039e10 | − | 6.18251e10i | −0.321058 | − | 0.402594i | ||||
\(627\) | −2.61381e10 | + | 1.25874e10i | −0.169123 | + | 0.0814455i | ||||
\(628\) | −1.77389e11 | − | 4.04878e10i | −1.14048 | − | 0.260307i | ||||
\(629\) | −2.00084e11 | − | 4.56678e10i | −1.27823 | − | 0.291748i | ||||
\(630\) | 3.86885e11 | − | 3.08531e11i | 2.45595 | − | 1.95856i | ||||
\(631\) | 7.59859e10 | − | 1.57786e11i | 0.479309 | − | 0.995295i | −0.511406 | − | 0.859339i | \(-0.670875\pi\) |
0.990715 | − | 0.135956i | \(-0.0434105\pi\) | |||||||
\(632\) | 1.45943e10 | − | 3.33105e9i | 0.0914774 | − | 0.0208791i | ||||
\(633\) | 3.20919e10 | + | 1.54546e10i | 0.199885 | + | 0.0962596i | ||||
\(634\) | 1.87449e11 | + | 1.49485e11i | 1.16018 | + | 0.925213i | ||||
\(635\) | −7.65936e10 | − | 1.74820e10i | −0.471083 | − | 0.107522i | ||||
\(636\) | 1.97297e10 | + | 1.57339e10i | 0.120585 | + | 0.0961630i | ||||
\(637\) | 8.55145e10 | + | 3.74664e11i | 0.519376 | + | 2.27554i | ||||
\(638\) | −3.10131e11 | −1.87181 | ||||||||
\(639\) | 1.34611e11i | 0.807378i | ||||||||
\(640\) | −2.64271e10 | − | 1.15785e11i | −0.157518 | − | 0.690131i | ||||
\(641\) | −2.71642e10 | + | 2.16628e10i | −0.160904 | + | 0.128316i | −0.700632 | − | 0.713523i | \(-0.747098\pi\) |
0.539728 | + | 0.841839i | \(0.318527\pi\) | |||||||
\(642\) | −1.90526e10 | + | 9.17526e9i | −0.112154 | + | 0.0540105i | ||||
\(643\) | 2.47271e11 | + | 1.19079e11i | 1.44653 | + | 0.696614i | 0.981990 | − | 0.188935i | \(-0.0605037\pi\) |
0.464545 | + | 0.885550i | \(0.346218\pi\) | |||||||
\(644\) | − | 1.64492e11i | − | 0.956314i | ||||||
\(645\) | −2.24053e10 | + | 2.09531e10i | −0.129453 | + | 0.121063i | ||||
\(646\) | −1.96983e11 | −1.13109 | ||||||||
\(647\) | −6.60631e10 | + | 1.37182e11i | −0.377001 | + | 0.782850i | 0.622999 | + | 0.782222i | \(0.285914\pi\) |
−1.00000 | 0.000627319i | \(0.999800\pi\) | ||||||||
\(648\) | 2.09474e10 | + | 4.34978e10i | 0.118804 | + | 0.246699i | ||||
\(649\) | 3.91790e10 | + | 4.91289e10i | 0.220838 | + | 0.276923i | ||||
\(650\) | 1.08872e11 | − | 2.48493e10i | 0.609906 | − | 0.139207i | ||||
\(651\) | −6.03040e10 | −0.335755 | ||||||||
\(652\) | 5.51058e10i | 0.304935i | ||||||||
\(653\) | −3.53039e10 | + | 8.05790e9i | −0.194165 | + | 0.0443169i | −0.318497 | − | 0.947924i | \(-0.603178\pi\) |
0.124333 | + | 0.992241i | \(0.460321\pi\) | |||||||
\(654\) | 2.56573e10 | − | 3.21733e10i | 0.140249 | − | 0.175867i | ||||
\(655\) | 5.02524e10 | − | 2.20170e11i | 0.273018 | − | 1.19617i | ||||
\(656\) | −9.90949e10 | + | 1.24261e11i | −0.535101 | + | 0.670996i | ||||
\(657\) | 7.29035e10 | − | 1.51386e11i | 0.391280 | − | 0.812500i | ||||
\(658\) | 7.52560e10 | + | 3.29718e11i | 0.401456 | + | 1.75889i | ||||
\(659\) | −1.82354e11 | − | 8.78171e10i | −0.966883 | − | 0.465626i | −0.117309 | − | 0.993095i | \(-0.537427\pi\) |
−0.849574 | + | 0.527469i | \(0.823141\pi\) | |||||||
\(660\) | −2.63960e10 | − | 3.30995e10i | −0.139111 | − | 0.174440i | ||||
\(661\) | 1.39581e10 | − | 6.11543e10i | 0.0731172 | − | 0.320348i | −0.925122 | − | 0.379671i | \(-0.876037\pi\) |
0.998239 | + | 0.0593234i | \(0.0188943\pi\) | |||||||
\(662\) | 8.40596e10 | − | 3.68289e11i | 0.437679 | − | 1.91760i | ||||
\(663\) | 1.05837e10 | + | 2.19774e10i | 0.0547753 | + | 0.113742i | ||||
\(664\) | 5.08334e10 | − | 4.05383e10i | 0.261503 | − | 0.208542i | ||||
\(665\) | −3.00494e11 | − | 2.39636e11i | −1.53656 | − | 1.22536i | ||||
\(666\) | −2.93427e11 | + | 1.41307e11i | −1.49143 | + | 0.718235i | ||||
\(667\) | −4.73823e10 | − | 9.83903e10i | −0.239394 | − | 0.497106i | ||||
\(668\) | −4.03294e10 | + | 5.05715e10i | −0.202542 | + | 0.253980i | ||||
\(669\) | 2.45313e10 | + | 3.07612e10i | 0.122466 | + | 0.153567i | ||||
\(670\) | −1.18634e11 | + | 5.71312e10i | −0.588723 | + | 0.283514i | ||||
\(671\) | 3.53984e11 | + | 8.07946e10i | 1.74620 | + | 0.398559i | ||||
\(672\) | −6.95178e10 | − | 1.58670e10i | −0.340894 | − | 0.0778067i | ||||
\(673\) | −1.70961e11 | + | 1.36337e11i | −0.833366 | + | 0.664587i | −0.944244 | − | 0.329247i | \(-0.893205\pi\) |
0.110878 | + | 0.993834i | \(0.464634\pi\) | |||||||
\(674\) | 1.75272e11 | − | 3.63956e11i | 0.849322 | − | 1.76364i | ||||
\(675\) | 3.12692e10 | − | 7.13699e9i | 0.150626 | − | 0.0343795i | ||||
\(676\) | −3.94139e10 | − | 1.89807e10i | −0.188740 | − | 0.0908922i | ||||
\(677\) | 2.17249e11 | + | 1.73250e11i | 1.03420 | + | 0.824745i | 0.984740 | − | 0.174031i | \(-0.0556793\pi\) |
0.0494575 | + | 0.998776i | \(0.484251\pi\) | |||||||
\(678\) | −4.54525e10 | − | 1.03742e10i | −0.215099 | − | 0.0490950i | ||||
\(679\) | −4.78845e11 | − | 3.81866e11i | −2.25276 | − | 1.79652i | ||||
\(680\) | 1.78675e10 | + | 7.82826e10i | 0.0835657 | + | 0.366125i | ||||
\(681\) | −1.45450e10 | −0.0676277 | ||||||||
\(682\) | − | 5.67644e11i | − | 2.62385i | ||||||
\(683\) | 2.73441e10 | + | 1.19802e11i | 0.125655 | + | 0.550533i | 0.998089 | + | 0.0617991i | \(0.0196838\pi\) |
−0.872433 | + | 0.488733i | \(0.837459\pi\) | |||||||
\(684\) | −1.07222e11 | + | 8.55069e10i | −0.489847 | + | 0.390640i | ||||
\(685\) | 3.85883e11 | − | 1.85832e11i | 1.75264 | − | 0.844028i | ||||
\(686\) | 8.88634e11 | + | 4.27944e11i | 4.01261 | + | 1.93237i | ||||
\(687\) | − | 1.66471e10i | − | 0.0747330i | ||||||
\(688\) | −2.59515e11 | − | 3.80759e10i | −1.15827 | − | 0.169940i | ||||
\(689\) | 2.67047e11 | 1.18498 | ||||||||
\(690\) | 1.47430e10 | − | 3.06142e10i | 0.0650415 | − | 0.135060i | ||||
\(691\) | −9.89815e10 | − | 2.05537e11i | −0.434152 | − | 0.901526i | −0.997177 | − | 0.0750863i | \(-0.976077\pi\) |
0.563025 | − | 0.826440i | \(-0.309638\pi\) | |||||||
\(692\) | 7.80916e10 | + | 9.79237e10i | 0.340549 | + | 0.427035i | ||||
\(693\) | −6.85006e11 | + | 1.56348e11i | −2.97004 | + | 0.677891i | ||||
\(694\) | −1.13631e11 | −0.489846 | ||||||||
\(695\) | 1.88600e11i | 0.808355i | ||||||||
\(696\) | −8.27108e9 | + | 1.88782e9i | −0.0352473 | + | 0.00804496i | ||||
\(697\) | 1.11734e11 | − | 1.40109e11i | 0.473426 | − | 0.593658i | ||||
\(698\) | 5.15042e10 | − | 2.25655e11i | 0.216981 | − | 0.950654i | ||||
\(699\) | −8.68669e9 | + | 1.08928e10i | −0.0363870 | + | 0.0456278i | ||||
\(700\) | 8.61286e10 | − | 1.78848e11i | 0.358720 | − | 0.744889i | ||||
\(701\) | 2.16929e10 | + | 9.50429e10i | 0.0898351 | + | 0.393593i | 0.999776 | − | 0.0211437i | \(-0.00673076\pi\) |
−0.909941 | + | 0.414737i | \(0.863874\pi\) | |||||||
\(702\) | 7.04745e10 | + | 3.39387e10i | 0.290191 | + | 0.139748i | ||||
\(703\) | 1.57715e11 | + | 1.97768e11i | 0.645730 | + | 0.809720i | ||||
\(704\) | 4.63065e10 | − | 2.02882e11i | 0.188517 | − | 0.825949i | ||||
\(705\) | −6.82029e9 | + | 2.98817e10i | −0.0276087 | + | 0.120962i | ||||
\(706\) | 6.48365e10 | + | 1.34634e11i | 0.260976 | + | 0.541922i | ||||
\(707\) | −1.20852e10 | + | 9.63765e9i | −0.0483701 | + | 0.0385739i | ||||
\(708\) | −4.81130e9 | − | 3.83688e9i | −0.0191483 | − | 0.0152702i | ||||
\(709\) | 1.78044e11 | − | 8.57413e10i | 0.704598 | − | 0.339317i | −0.0470392 | − | 0.998893i | \(-0.514979\pi\) |
0.751638 | + | 0.659576i | \(0.229264\pi\) | |||||||
\(710\) | 1.50889e11 | + | 3.13325e11i | 0.593779 | + | 1.23300i | ||||
\(711\) | −5.02568e10 | + | 6.30200e10i | −0.196660 | + | 0.246604i | ||||
\(712\) | −6.54376e9 | − | 8.20561e9i | −0.0254629 | − | 0.0319294i | ||||
\(713\) | 1.80088e11 | − | 8.67256e10i | 0.696828 | − | 0.335575i | ||||
\(714\) | 9.63554e10 | + | 2.19925e10i | 0.370752 | + | 0.0846217i | ||||
\(715\) | −4.36779e11 | − | 9.96919e10i | −1.67123 | − | 0.381448i | ||||
\(716\) | −2.42217e11 | + | 1.93162e11i | −0.921622 | + | 0.734969i | ||||
\(717\) | −4.56796e9 | + | 9.48548e9i | −0.0172841 | + | 0.0358907i | ||||
\(718\) | 3.96651e11 | − | 9.05329e10i | 1.49249 | − | 0.340650i | ||||
\(719\) | 1.56496e11 | + | 7.53643e10i | 0.585581 | + | 0.282001i | 0.703124 | − | 0.711067i | \(-0.251788\pi\) |
−0.117544 | + | 0.993068i | \(0.537502\pi\) | |||||||
\(720\) | 2.99799e11 | + | 2.39081e11i | 1.11558 | + | 0.889643i | ||||
\(721\) | −7.69806e10 | − | 1.75703e10i | −0.284866 | − | 0.0650188i | ||||
\(722\) | −9.37574e10 | − | 7.47690e10i | −0.345030 | − | 0.275152i | ||||
\(723\) | −1.23936e9 | − | 5.43000e9i | −0.00453571 | − | 0.0198722i | ||||
\(724\) | −1.11502e11 | −0.405816 | ||||||||
\(725\) | − | 1.31787e11i | − | 0.477002i | ||||||
\(726\) | 1.87334e10 | + | 8.20764e10i | 0.0674326 | + | 0.295442i | ||||
\(727\) | 2.90282e11 | − | 2.31493e11i | 1.03916 | − | 0.828704i | 0.0536924 | − | 0.998558i | \(-0.482901\pi\) |
0.985469 | + | 0.169854i | \(0.0543295\pi\) | |||||||
\(728\) | −1.21838e11 | + | 5.86740e10i | −0.433767 | + | 0.208891i | ||||
\(729\) | −2.23995e11 | − | 1.07870e11i | −0.793100 | − | 0.381937i | ||||
\(730\) | − | 4.34090e11i | − | 1.52858i | ||||||
\(731\) | 2.92614e11 | + | 4.29322e10i | 1.02477 | + | 0.150353i | ||||
\(732\) | −3.55579e10 | −0.123849 | ||||||||
\(733\) | −5.96268e10 | + | 1.23816e11i | −0.206550 | + | 0.428906i | −0.978349 | − | 0.206961i | \(-0.933643\pi\) |
0.771799 | + | 0.635866i | \(0.219357\pi\) | |||||||
\(734\) | −1.27079e9 | − | 2.63883e9i | −0.00437815 | − | 0.00909132i | ||||
\(735\) | 8.79829e10 | + | 1.10327e11i | 0.301473 | + | 0.378036i | ||||
\(736\) | 2.30422e11 | − | 5.25922e10i | 0.785258 | − | 0.179230i | ||||
\(737\) | 1.86962e11 | 0.633699 | ||||||||
\(738\) | − | 2.84384e11i | − | 0.958693i | ||||||
\(739\) | −4.46372e11 | + | 1.01881e11i | −1.49664 | + | 0.341599i | −0.890951 | − | 0.454099i | \(-0.849961\pi\) |
−0.605693 | + | 0.795698i | \(0.707104\pi\) | |||||||
\(740\) | −2.30153e11 | + | 2.88603e11i | −0.767520 | + | 0.962440i | ||||
\(741\) | 6.69022e9 | − | 2.93118e10i | 0.0221905 | − | 0.0972231i | ||||
\(742\) | 6.74614e11 | − | 8.45939e11i | 2.22556 | − | 2.79077i | ||||
\(743\) | 1.38965e11 | − | 2.88565e11i | 0.455986 | − | 0.946864i | −0.538562 | − | 0.842586i | \(-0.681032\pi\) |
0.994548 | − | 0.104279i | \(-0.0332534\pi\) | |||||||
\(744\) | −3.45535e9 | − | 1.51389e10i | −0.0112772 | − | 0.0494085i | ||||
\(745\) | 4.57250e11 | + | 2.20200e11i | 1.48432 | + | 0.714813i | ||||
\(746\) | −1.84157e10 | − | 2.30926e10i | −0.0594612 | − | 0.0745619i | ||||
\(747\) | −7.79045e10 | + | 3.41322e11i | −0.250196 | + | 1.09618i | ||||
\(748\) | −9.08232e10 | + | 3.97922e11i | −0.290128 | + | 1.27114i | ||||
\(749\) | 1.72596e11 | + | 3.58399e11i | 0.548407 | + | 1.13878i | ||||
\(750\) | −2.64645e10 | + | 2.11047e10i | −0.0836409 | + | 0.0667014i | ||||
\(751\) | −4.03213e9 | − | 3.21551e9i | −0.0126758 | − | 0.0101086i | 0.617131 | − | 0.786860i | \(-0.288295\pi\) |
−0.629807 | + | 0.776751i | \(0.716866\pi\) | |||||||
\(752\) | −2.36117e11 | + | 1.13708e11i | −0.738339 | + | 0.355566i | ||||
\(753\) | −3.78033e10 | − | 7.84994e10i | −0.117584 | − | 0.244167i | ||||
\(754\) | 2.00392e11 | − | 2.51283e11i | 0.620004 | − | 0.777460i | ||||
\(755\) | −4.05597e9 | − | 5.08602e9i | −0.0124826 | − | 0.0156527i | ||||
\(756\) | 1.25274e11 | − | 6.03290e10i | 0.383509 | − | 0.184688i | ||||
\(757\) | 2.28488e11 | + | 5.21509e10i | 0.695793 | + | 0.158810i | 0.555768 | − | 0.831338i | \(-0.312424\pi\) |
0.140026 | + | 0.990148i | \(0.455282\pi\) | |||||||
\(758\) | −3.15308e11 | − | 7.19671e10i | −0.955122 | − | 0.218000i | ||||
\(759\) | −3.77207e10 | + | 3.00812e10i | −0.113661 | + | 0.0906418i | ||||
\(760\) | 4.29408e10 | − | 8.91675e10i | 0.128711 | − | 0.267271i | ||||
\(761\) | 4.81975e10 | − | 1.10008e10i | 0.143710 | − | 0.0328008i | −0.150061 | − | 0.988677i | \(-0.547947\pi\) |
0.293771 | + | 0.955876i | \(0.405090\pi\) | |||||||
\(762\) | −2.24344e10 | − | 1.08039e10i | −0.0665419 | − | 0.0320449i | ||||
\(763\) | −6.05211e11 | − | 4.82639e11i | −1.78570 | − | 1.42405i | ||||
\(764\) | −7.62506e10 | − | 1.74037e10i | −0.223805 | − | 0.0510820i | ||||
\(765\) | −3.38035e11 | − | 2.69574e11i | −0.986997 | − | 0.787104i | ||||
\(766\) | 3.40486e10 | + | 1.49177e11i | 0.0988973 | + | 0.433297i | ||||
\(767\) | −6.51223e10 | −0.188169 | ||||||||
\(768\) | − | 6.37136e10i | − | 0.183142i | ||||||
\(769\) | −2.61360e9 | − | 1.14509e10i | −0.00747366 | − | 0.0327442i | 0.971054 | − | 0.238862i | \(-0.0767743\pi\) |
−0.978527 | + | 0.206117i | \(0.933917\pi\) | |||||||
\(770\) | −1.41919e12 | + | 1.13176e12i | −4.03717 | + | 3.21954i | ||||
\(771\) | −5.74780e10 | + | 2.76799e10i | −0.162661 | + | 0.0783335i | ||||
\(772\) | 2.55408e11 | + | 1.22998e11i | 0.719060 | + | 0.346281i | ||||
\(773\) | − | 4.58811e11i | − | 1.28504i | −0.766270 | − | 0.642519i | \(-0.777889\pi\) | ||
0.766270 | − | 0.642519i | \(-0.222111\pi\) | |||||||
\(774\) | 4.05522e11 | − | 2.36252e11i | 1.12993 | − | 0.658282i | ||||
\(775\) | 2.41215e11 | 0.668647 | ||||||||
\(776\) | 6.84274e10 | − | 1.42091e11i | 0.188705 | − | 0.391850i | ||||
\(777\) | −5.50670e10 | − | 1.14348e11i | −0.151080 | − | 0.313721i | ||||
\(778\) | −2.75432e11 | − | 3.45381e11i | −0.751790 | − | 0.942715i | ||||
\(779\) | −2.15343e11 | + | 4.91506e10i | −0.584764 | + | 0.133469i | ||||
\(780\) | 4.38747e10 | 0.118532 | ||||||||
\(781\) | − | 4.93785e11i | − | 1.32719i | ||||||
\(782\) | −3.19377e11 | + | 7.28957e10i | −0.854037 | + | 0.194928i | ||||
\(783\) | 5.75546e10 | − | 7.21712e10i | 0.153120 | − | 0.192007i | ||||
\(784\) | −2.68488e11 | + | 1.17632e12i | −0.710659 | + | 3.11360i | ||||
\(785\) | −4.40822e11 | + | 5.52774e11i | −1.16087 | + | 1.45569i | ||||
\(786\) | 3.10560e10 | − | 6.44884e10i | 0.0813682 | − | 0.168963i | ||||
\(787\) | 1.18151e11 | + | 5.17652e11i | 0.307991 | + | 1.34940i | 0.857748 | + | 0.514071i | \(0.171863\pi\) |
−0.549757 | + | 0.835325i | \(0.685280\pi\) | |||||||
\(788\) | 9.31333e10 | + | 4.48506e10i | 0.241546 | + | 0.116322i | ||||
\(789\) | 3.40215e10 | + | 4.26616e10i | 0.0877900 | + | 0.110085i | ||||
\(790\) | −4.63384e10 | + | 2.03022e11i | −0.118969 | + | 0.521236i | ||||
\(791\) | −1.95149e11 | + | 8.55005e11i | −0.498495 | + | 2.18405i | ||||
\(792\) | −7.85001e10 | − | 1.63007e11i | −0.199512 | − | 0.414291i | ||||
\(793\) | −2.94192e11 | + | 2.34610e11i | −0.743940 | + | 0.593272i | ||||
\(794\) | 6.17260e11 | + | 4.92248e11i | 1.55305 | + | 1.23852i | ||||
\(795\) | 8.83481e10 | − | 4.25462e10i | 0.221171 | − | 0.106511i | ||||
\(796\) | 1.35351e11 | + | 2.81059e11i | 0.337139 | + | 0.700077i | ||||
\(797\) | −5.10297e10 | + | 6.39892e10i | −0.126471 | + | 0.158589i | −0.841035 | − | 0.540980i | \(-0.818053\pi\) |
0.714565 | + | 0.699569i | \(0.246625\pi\) | |||||||
\(798\) | −7.59516e10 | − | 9.52403e10i | −0.187295 | − | 0.234860i | ||||
\(799\) | 2.66232e11 | − | 1.28210e11i | 0.653240 | − | 0.314584i | ||||
\(800\) | 2.78069e11 | + | 6.34675e10i | 0.678881 | + | 0.154950i | ||||
\(801\) | 5.50968e10 | + | 1.25755e10i | 0.133843 | + | 0.0305488i | ||||
\(802\) | −1.29787e11 | + | 1.03501e11i | −0.313713 | + | 0.250178i | ||||
\(803\) | −2.67428e11 | + | 5.55320e11i | −0.643197 | + | 1.33561i | ||||
\(804\) | −1.78505e10 | + | 4.07426e9i | −0.0427195 | + | 0.00975046i | ||||
\(805\) | −5.75883e11 | − | 2.77331e11i | −1.37136 | − | 0.660411i | ||||
\(806\) | 4.59934e11 | + | 3.66785e11i | 1.08982 | + | 0.869103i | ||||
\(807\) | 4.19101e10 | + | 9.56570e9i | 0.0988153 | + | 0.0225539i | ||||
\(808\) | −3.11193e9 | − | 2.48168e9i | −0.00730103 | − | 0.00582238i | ||||
\(809\) | −1.83412e11 | − | 8.03582e11i | −0.428188 | − | 1.87602i | −0.479850 | − | 0.877350i | \(-0.659309\pi\) |
0.0516620 | − | 0.998665i | \(-0.483548\pi\) | |||||||
\(810\) | −6.71611e11 | −1.56019 | ||||||||
\(811\) | − | 6.82025e10i | − | 0.157658i | −0.996888 | − | 0.0788292i | \(-0.974882\pi\) | ||
0.996888 | − | 0.0788292i | \(-0.0251182\pi\) | |||||||
\(812\) | −1.27131e11 | − | 5.56998e11i | −0.292434 | − | 1.28124i | ||||
\(813\) | −7.92767e10 | + | 6.32210e10i | −0.181461 | + | 0.144710i | ||||
\(814\) | 1.07636e12 | − | 5.18348e11i | 2.45166 | − | 1.18066i | ||||
\(815\) | 1.92925e11 | + | 9.29077e10i | 0.437278 | + | 0.210582i | ||||
\(816\) | 7.65863e10i | 0.172739i | ||||||||
\(817\) | −2.48984e11 | − | 2.66240e11i | −0.558834 | − | 0.597565i | ||||
\(818\) | −1.01232e12 | −2.26102 | ||||||||
\(819\) | 3.15938e11 | − | 6.56051e11i | 0.702208 | − | 1.45815i | ||||
\(820\) | −1.39854e11 | − | 2.90410e11i | −0.309329 | − | 0.642328i | ||||
\(821\) | −1.09422e11 | − | 1.37211e11i | −0.240841 | − | 0.302006i | 0.646690 | − | 0.762753i | \(-0.276153\pi\) |
−0.887531 | + | 0.460747i | \(0.847581\pi\) | |||||||
\(822\) | 1.32344e11 | − | 3.02066e10i | 0.289879 | − | 0.0661630i | ||||
\(823\) | −4.22534e11 | −0.921005 | −0.460503 | − | 0.887658i | \(-0.652331\pi\) | ||||
−0.460503 | + | 0.887658i | \(0.652331\pi\) | |||||||
\(824\) | − | 2.03322e10i | − | 0.0441037i | ||||||
\(825\) | −5.67635e10 | + | 1.29559e10i | −0.122533 | + | 0.0279674i | ||||
\(826\) | −1.64512e11 | + | 2.06291e11i | −0.353409 | + | 0.443160i | ||||
\(827\) | 1.47241e11 | − | 6.45106e11i | 0.314780 | − | 1.37914i | −0.531794 | − | 0.846873i | \(-0.678482\pi\) |
0.846575 | − | 0.532270i | \(-0.178661\pi\) | |||||||
\(828\) | −1.42201e11 | + | 1.78315e11i | −0.302540 | + | 0.379373i | ||||
\(829\) | −3.32665e10 | + | 6.90786e10i | −0.0704350 | + | 0.146260i | −0.933214 | − | 0.359322i | \(-0.883008\pi\) |
0.862779 | + | 0.505582i | \(0.168722\pi\) | |||||||
\(830\) | 2.01265e11 | + | 8.81798e11i | 0.424087 | + | 1.85805i | ||||
\(831\) | −1.82881e10 | − | 8.80707e9i | −0.0383499 | − | 0.0184683i | ||||
\(832\) | 1.34464e11 | + | 1.68613e11i | 0.280617 | + | 0.351882i | ||||
\(833\) | 3.02731e11 | − | 1.32635e12i | 0.628749 | − | 2.75473i | ||||
\(834\) | −1.33014e10 | + | 5.82773e10i | −0.0274937 | + | 0.120458i | ||||
\(835\) | 1.09055e11 | + | 2.26456e11i | 0.224337 | + | 0.465840i | ||||
\(836\) | 3.93317e11 | − | 3.13660e11i | 0.805226 | − | 0.642146i | ||||
\(837\) | 1.32098e11 | + | 1.05344e11i | 0.269150 | + | 0.214640i | ||||
\(838\) | −5.08254e11 | + | 2.44762e11i | −1.03063 | + | 0.496327i | ||||
\(839\) | 5.28278e10 | + | 1.09698e11i | 0.106614 | + | 0.221386i | 0.947450 | − | 0.319903i | \(-0.103650\pi\) |
−0.840836 | + | 0.541290i | \(0.817936\pi\) | |||||||
\(840\) | −3.09600e10 | + | 3.88227e10i | −0.0621848 | + | 0.0779773i | ||||
\(841\) | 7.54108e10 | + | 9.45622e10i | 0.150747 | + | 0.189031i | ||||
\(842\) | −2.47743e11 | + | 1.19307e11i | −0.492893 | + | 0.237365i | ||||
\(843\) | −6.02042e10 | − | 1.37412e10i | −0.119211 | − | 0.0272092i | ||||
\(844\) | −6.02177e11 | − | 1.37443e11i | −1.18674 | − | 0.270865i | ||||
\(845\) | −1.32903e11 | + | 1.05986e11i | −0.260680 | + | 0.207885i | ||||
\(846\) | 2.03458e11 | − | 4.22484e11i | 0.397185 | − | 0.824763i | ||||
\(847\) | 1.54394e12 | − | 3.52393e11i | 2.99982 | − | 0.684690i | ||||
\(848\) | 7.55410e11 | + | 3.63786e11i | 1.46083 | + | 0.703498i | ||||
\(849\) | 2.05865e10 | + | 1.64172e10i | 0.0396235 | + | 0.0315987i | ||||
\(850\) | −3.85419e11 | − | 8.79695e10i | −0.738342 | − | 0.168522i | ||||
\(851\) | 3.28896e11 | + | 2.62286e11i | 0.627105 | + | 0.500100i | ||||
\(852\) | 1.07605e10 | + | 4.71450e10i | 0.0204209 | + | 0.0894700i | ||||
\(853\) | 1.20781e11 | 0.228141 | 0.114071 | − | 0.993473i | \(-0.463611\pi\) | ||||
0.114071 | + | 0.993473i | \(0.463611\pi\) | |||||||
\(854\) | 1.52460e12i | 2.86632i | ||||||||
\(855\) | 1.18583e11 | + | 5.19547e11i | 0.221901 | + | 0.972211i | ||||
\(856\) | −8.00838e10 | + | 6.38647e10i | −0.149159 | + | 0.118950i | ||||
\(857\) | 6.81282e11 | − | 3.28088e11i | 1.26300 | − | 0.608229i | 0.322034 | − | 0.946728i | \(-0.395633\pi\) |
0.940967 | + | 0.338499i | \(0.109919\pi\) | |||||||
\(858\) | −1.27934e11 | − | 6.16095e10i | −0.236067 | − | 0.113684i | ||||
\(859\) | 2.96690e11i | 0.544917i | 0.962167 | + | 0.272459i | \(0.0878368\pi\) | ||||
−0.962167 | + | 0.272459i | \(0.912163\pi\) | |||||||
\(860\) | 2.97931e11 | − | 4.40686e11i | 0.544656 | − | 0.805630i | ||||
\(861\) | 1.10824e11 | 0.201660 | ||||||||
\(862\) | 3.36279e11 | − | 6.98290e11i | 0.609074 | − | 1.26476i | ||||
\(863\) | −1.58466e11 | − | 3.29059e11i | −0.285689 | − | 0.593240i | 0.707897 | − | 0.706316i | \(-0.249644\pi\) |
−0.993586 | + | 0.113076i | \(0.963930\pi\) | |||||||
\(864\) | 1.24563e11 | + | 1.56197e11i | 0.223529 | + | 0.280296i | ||||
\(865\) | 4.74491e11 | − | 1.08300e11i | 0.847547 | − | 0.193447i | ||||
\(866\) | −3.51960e11 | −0.625781 | ||||||||
\(867\) | − | 5.85667e9i | − | 0.0103651i | ||||||
\(868\) | 1.01949e12 | − | 2.32693e11i | 1.79600 | − | 0.409925i | ||||
\(869\) | 1.84354e11 | − | 2.31173e11i | 0.323276 | − | 0.405375i | ||||
\(870\) | 2.62616e10 | − | 1.15060e11i | 0.0458399 | − | 0.200838i | ||||
\(871\) | −1.20806e11 | + | 1.51486e11i | −0.209902 | + | 0.263208i | ||||
\(872\) | 8.64851e10 | − | 1.79588e11i | 0.149581 | − | 0.310608i | ||||
\(873\) | 1.88966e11 | + | 8.27913e11i | 0.325331 | + | 1.42537i | ||||
\(874\) | 3.63785e11 | + | 1.75190e11i | 0.623446 | + | 0.300236i | ||||
\(875\) | 3.97001e11 | + | 4.97823e11i | 0.677265 | + | 0.849264i | ||||
\(876\) | 1.34316e10 | − | 5.88479e10i | 0.0228093 | − | 0.0999342i | ||||
\(877\) | −1.91799e11 | + | 8.40327e11i | −0.324226 | + | 1.42053i | 0.505726 | + | 0.862694i | \(0.331225\pi\) |
−0.829952 | + | 0.557834i | \(0.811632\pi\) | |||||||
\(878\) | −1.80819e11 | − | 3.75475e11i | −0.304275 | − | 0.631834i | ||||
\(879\) | 7.15136e10 | − | 5.70302e10i | 0.119793 | − | 0.0955321i | ||||
\(880\) | −1.09973e12 | − | 8.77008e11i | −1.83382 | − | 1.46242i | ||||
\(881\) | −1.99568e11 | + | 9.61070e10i | −0.331274 | + | 0.159533i | −0.592126 | − | 0.805846i | \(-0.701711\pi\) |
0.260851 | + | 0.965379i | \(0.415997\pi\) | |||||||
\(882\) | −9.36722e11 | − | 1.94512e12i | −1.54788 | − | 3.21420i | ||||
\(883\) | 1.77558e11 | − | 2.22650e11i | 0.292077 | − | 0.366252i | −0.614044 | − | 0.789272i | \(-0.710458\pi\) |
0.906121 | + | 0.423019i | \(0.139030\pi\) | |||||||
\(884\) | −2.63731e11 | − | 3.30708e11i | −0.431869 | − | 0.541546i | ||||
\(885\) | −2.15447e10 | + | 1.03754e10i | −0.0351210 | + | 0.0169134i | ||||
\(886\) | −2.37273e11 | − | 5.41559e10i | −0.385046 | − | 0.0878842i | ||||
\(887\) | 2.30695e11 | + | 5.26546e10i | 0.372686 | + | 0.0850632i | 0.404761 | − | 0.914422i | \(-0.367355\pi\) |
−0.0320755 | + | 0.999485i | \(0.510212\pi\) | |||||||
\(888\) | 2.55509e10 | − | 2.03762e10i | 0.0410917 | − | 0.0327695i | ||||
\(889\) | −2.03231e11 | + | 4.22013e11i | −0.325374 | + | 0.675646i | ||||
\(890\) | 1.42341e11 | − | 3.24885e10i | 0.226867 | − | 0.0517809i | ||||
\(891\) | 8.59173e11 | + | 4.13756e11i | 1.36323 | + | 0.656498i | ||||
\(892\) | −5.33420e11 | − | 4.25388e11i | −0.842578 | − | 0.671933i | ||||
\(893\) | −3.55080e11 | − | 8.10447e10i | −0.558368 | − | 0.127444i | ||||
\(894\) | 1.25760e11 | + | 1.00290e11i | 0.196876 | + | 0.157003i | ||||
\(895\) | 2.67882e11 | + | 1.17367e12i | 0.417495 | + | 1.82917i | ||||
\(896\) | −7.08070e11 | −1.09861 | ||||||||
\(897\) | − | 5.00003e10i | − | 0.0772329i | ||||||
\(898\) | 1.46706e11 | + | 6.42762e11i | 0.225602 | + | 0.988428i | ||||
\(899\) | 5.42780e11 | − | 4.32853e11i | 0.830970 | − | 0.662676i | ||||
\(900\) | −2.47979e11 | + | 1.19420e11i | −0.377959 | + | 0.182015i | ||||
\(901\) | −8.51756e11 | − | 4.10184e11i | −1.29246 | − | 0.622414i | ||||
\(902\) | 1.04319e12i | 1.57593i | ||||||||
\(903\) | 9.20671e10 | + | 1.58031e11i | 0.138469 | + | 0.237679i | ||||
\(904\) | −2.25824e11 | −0.338141 | ||||||||
\(905\) | −1.87991e11 | + | 3.90368e11i | −0.280248 | + | 0.581942i | ||||
\(906\) | −8.94589e8 | − | 1.85763e9i | −0.00132773 | − | 0.00275707i | ||||
\(907\) | 1.21558e10 | + | 1.52428e10i | 0.0179619 | + | 0.0225235i | 0.790731 | − | 0.612163i | \(-0.209701\pi\) |
−0.772769 | + | 0.634687i | \(0.781129\pi\) | |||||||
\(908\) | 2.45896e11 | − | 5.61241e10i | 0.361750 | − | 0.0825670i | ||||
\(909\) | 2.14325e10 | 0.0313918 | ||||||||
\(910\) | − | 1.88119e12i | − | 2.74326i | ||||||
\(911\) | 1.26148e12 | − | 2.87925e11i | 1.83150 | − | 0.418028i | 0.839405 | − | 0.543507i | \(-0.182904\pi\) |
0.992096 | + | 0.125478i | \(0.0400465\pi\) | |||||||
\(912\) | 5.88551e10 | − | 7.38020e10i | 0.0850756 | − | 0.106681i | ||||
\(913\) | 2.85773e11 | − | 1.25205e12i | 0.411280 | − | 1.80194i | ||||
\(914\) | 5.81047e11 | − | 7.28610e11i | 0.832581 | − | 1.04402i | ||||
\(915\) | −5.99502e10 | + | 1.24488e11i | −0.0855276 | + | 0.177600i | ||||
\(916\) | 6.42356e10 | + | 2.81435e11i | 0.0912418 | + | 0.399757i | ||||
\(917\) | −1.21309e12 | − | 5.84193e11i | −1.71560 | − | 0.826188i | ||||
\(918\) | −1.72651e11 | − | 2.16497e11i | −0.243107 | − | 0.304847i | ||||
\(919\) | 1.05346e11 | − | 4.61549e11i | 0.147691 | − | 0.647076i | −0.845832 | − | 0.533449i | \(-0.820896\pi\) |
0.993523 | − | 0.113628i | \(-0.0362471\pi\) | |||||||
\(920\) | 3.66244e10 | − | 1.60462e11i | 0.0511233 | − | 0.223986i | ||||
\(921\) | −3.15470e10 | − | 6.55081e10i | −0.0438450 | − | 0.0910450i | ||||
\(922\) | −1.42421e11 | + | 1.13577e11i | −0.197084 | + | 0.157169i | ||||
\(923\) | 4.00090e11 | + | 3.19061e11i | 0.551252 | + | 0.439609i | ||||
\(924\) | −2.27413e11 | + | 1.09516e11i | −0.311980 | + | 0.150242i | ||||
\(925\) | 2.20267e11 | + | 4.57389e11i | 0.300872 | + | 0.624767i | ||||
\(926\) | 7.37718e11 | − | 9.25069e11i | 1.00334 | − | 1.25814i | ||||
\(927\) | 6.82604e10 | + | 8.55958e10i | 0.0924379 | + | 0.115913i | ||||
\(928\) | 7.39601e11 | − | 3.56173e11i | 0.997254 | − | 0.480252i | ||||
\(929\) | −1.32644e12 | − | 3.02752e11i | −1.78084 | − | 0.406466i | −0.799803 | − | 0.600263i | \(-0.795063\pi\) |
−0.981042 | + | 0.193797i | \(0.937920\pi\) | |||||||
\(930\) | 2.10598e11 | + | 4.80676e10i | 0.281529 | + | 0.0642571i | ||||
\(931\) | −1.31100e12 | + | 1.04549e12i | −1.74504 | + | 1.39162i | ||||
\(932\) | 1.04825e11 | − | 2.17671e11i | 0.138931 | − | 0.288494i | ||||
\(933\) | −1.16235e11 | + | 2.65299e10i | −0.153395 | + | 0.0350113i | ||||
\(934\) | −2.37557e11 | − | 1.14401e11i | −0.312162 | − | 0.150329i | ||||
\(935\) | 1.23999e12 | + | 9.88862e11i | 1.62246 | + | 1.29387i | ||||
\(936\) | 1.82800e11 | + | 4.17228e10i | 0.238162 | + | 0.0543588i | ||||
\(937\) | 5.40948e11 | + | 4.31392e11i | 0.701774 | + | 0.559646i | 0.908057 | − | 0.418846i | \(-0.137565\pi\) |
−0.206283 | + | 0.978492i | \(0.566137\pi\) | |||||||
\(938\) | 1.74690e11 | + | 7.65367e11i | 0.225661 | + | 0.988686i | ||||
\(939\) | −4.27278e10 | −0.0549602 | ||||||||
\(940\) | − | 5.31494e11i | − | 0.680748i | ||||||
\(941\) | −2.05405e11 | − | 8.99937e11i | −0.261970 | − | 1.14777i | −0.919111 | − | 0.393999i | \(-0.871091\pi\) |
0.657141 | − | 0.753768i | \(-0.271766\pi\) | |||||||
\(942\) | −1.75200e11 | + | 1.39717e11i | −0.222500 | + | 0.177438i | ||||
\(943\) | −3.30956e11 | + | 1.59380e11i | −0.418527 | + | 0.201552i | ||||
\(944\) | −1.84215e11 | − | 8.87133e10i | −0.231973 | − | 0.111712i | ||||
\(945\) | − | 5.40298e11i | − | 0.677495i | ||||||
\(946\) | −1.48755e12 | + | 8.66630e11i | −1.85741 | + | 1.08210i | ||||
\(947\) | −1.31645e12 | −1.63683 | −0.818415 | − | 0.574628i | \(-0.805147\pi\) | ||||
−0.818415 | + | 0.574628i | \(0.805147\pi\) | |||||||
\(948\) | −1.25638e10 | + | 2.60890e10i | −0.0155557 | + | 0.0323016i | ||||
\(949\) | −2.77148e11 | − | 5.75505e11i | −0.341702 | − | 0.709552i | ||||
\(950\) | 3.03805e11 | + | 3.80959e11i | 0.372992 | + | 0.467718i | ||||
\(951\) | 1.26299e11 | − | 2.88270e10i | 0.154411 | − | 0.0352433i | ||||
\(952\) | 4.78729e11 | 0.582830 | ||||||||
\(953\) | 1.33801e12i | 1.62213i | 0.584953 | + | 0.811067i | \(0.301113\pi\) | ||||
−0.584953 | + | 0.811067i | \(0.698887\pi\) | |||||||
\(954\) | −1.46261e12 | + | 3.33831e11i | −1.76577 | + | 0.403027i | ||||
\(955\) | −1.89488e11 | + | 2.37610e11i | −0.227807 | + | 0.285661i | ||||
\(956\) | 4.06243e10 | − | 1.77987e11i | 0.0486356 | − | 0.213087i | ||||
\(957\) | −1.04480e11 | + | 1.31014e11i | −0.124562 | + | 0.156196i | ||||
\(958\) | −5.01332e11 | + | 1.04103e12i | −0.595201 | + | 1.23595i | ||||
\(959\) | −5.68216e11 | − | 2.48952e12i | −0.671799 | − | 2.94334i | ||||
\(960\) | 7.13488e10 | + | 3.43598e10i | 0.0840044 | + | 0.0404544i | ||||
\(961\) | 2.60498e11 | + | 3.26654e11i | 0.305430 | + | 0.382997i | ||||
\(962\) | −2.75502e11 | + | 1.20705e12i | −0.321680 | + | 1.40937i | ||||
\(963\) | 1.22732e11 | − | 5.37724e11i | 0.142709 | − | 0.625251i | ||||
\(964\) | 4.19051e10 | + | 8.70168e10i | 0.0485242 | + | 0.100762i | ||||
\(965\) | 8.61229e11 | − | 6.86807e11i | 0.993138 | − | 0.792001i | ||||
\(966\) | −1.58388e11 | − | 1.26311e11i | −0.181893 | − | 0.145054i | ||||
\(967\) | −6.62706e11 | + | 3.19142e11i | −0.757905 | + | 0.364988i | −0.772591 | − | 0.634904i | \(-0.781040\pi\) |
0.0146855 | + | 0.999892i | \(0.495325\pi\) | |||||||
\(968\) | 1.76931e11 | + | 3.67402e11i | 0.201513 | + | 0.418447i | ||||
\(969\) | −6.63616e10 | + | 8.32148e10i | −0.0752699 | + | 0.0943855i | ||||
\(970\) | 1.36787e12 | + | 1.71526e12i | 1.54511 | + | 1.93751i | ||||
\(971\) | 9.28697e11 | − | 4.47237e11i | 1.04471 | − | 0.503108i | 0.168838 | − | 0.985644i | \(-0.445999\pi\) |
0.875876 | + | 0.482536i | \(0.160284\pi\) | |||||||
\(972\) | −2.82897e11 | − | 6.45694e10i | −0.316930 | − | 0.0723372i | ||||
\(973\) | 1.09625e12 | + | 2.50212e11i | 1.22309 | + | 0.279163i | ||||
\(974\) | 6.69458e11 | − | 5.33875e11i | 0.743854 | − | 0.593204i | ||||
\(975\) | 2.61804e10 | − | 5.43641e10i | 0.0289706 | − | 0.0601580i | ||||
\(976\) | −1.15180e12 | + | 2.62890e11i | −1.26933 | + | 0.289717i | ||||
\(977\) | 1.50945e11 | + | 7.26914e10i | 0.165669 | + | 0.0797819i | 0.514881 | − | 0.857262i | \(-0.327836\pi\) |
−0.349212 | + | 0.937044i | \(0.613551\pi\) | |||||||
\(978\) | 5.30612e10 | + | 4.23149e10i | 0.0579991 | + | 0.0462528i | ||||
\(979\) | −2.02108e11 | − | 4.61299e10i | −0.220015 | − | 0.0502171i | ||||
\(980\) | −1.91315e12 | − | 1.52568e12i | −2.07417 | − | 1.65409i | ||||
\(981\) | 2.38833e11 | + | 1.04640e12i | 0.257881 | + | 1.12985i | ||||
\(982\) | −9.43407e11 | −1.01450 | ||||||||
\(983\) | 5.67085e11i | 0.607343i | 0.952777 | + | 0.303672i | \(0.0982126\pi\) | ||||
−0.952777 | + | 0.303672i | \(0.901787\pi\) | |||||||
\(984\) | 6.35008e9 | + | 2.78215e10i | 0.00677327 | + | 0.0296756i | ||||
\(985\) | 3.14043e11 | − | 2.50441e11i | 0.333614 | − | 0.266048i | ||||
\(986\) | −1.02513e12 | + | 4.93675e11i | −1.08460 | + | 0.522316i | ||||
\(987\) | 1.64641e11 | + | 7.92871e10i | 0.173488 | + | 0.0835476i | ||||
\(988\) | 5.21358e11i | 0.547152i | ||||||||
\(989\) | −5.02213e11 | − | 3.39527e11i | −0.524932 | − | 0.354886i | ||||
\(990\) | 2.51685e12 | 2.62009 | ||||||||
\(991\) | −5.46217e10 | + | 1.13423e11i | −0.0566331 | + | 0.117600i | −0.927365 | − | 0.374159i | \(-0.877931\pi\) |
0.870732 | + | 0.491759i | \(0.163646\pi\) | |||||||
\(992\) | 6.51917e11 | + | 1.35372e12i | 0.673203 | + | 1.39792i | ||||
\(993\) | −1.27264e11 | − | 1.59584e11i | −0.130890 | − | 0.164131i | ||||
\(994\) | 2.02141e12 | − | 4.61374e11i | 2.07066 | − | 0.472615i | ||||
\(995\) | 1.21219e12 | 1.23674 | ||||||||
\(996\) | 1.25769e11i | 0.127802i | ||||||||
\(997\) | −6.97908e11 | + | 1.59293e11i | −0.706346 | + | 0.161219i | −0.560580 | − | 0.828100i | \(-0.689422\pi\) |
−0.145766 | + | 0.989319i | \(0.546565\pi\) | |||||||
\(998\) | −5.90578e10 | + | 7.40562e10i | −0.0595327 | + | 0.0746516i | ||||
\(999\) | −7.91270e10 | + | 3.46678e11i | −0.0794443 | + | 0.348068i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 43.9.f.a.22.6 | yes | 174 | |
43.2 | odd | 14 | inner | 43.9.f.a.2.6 | ✓ | 174 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.9.f.a.2.6 | ✓ | 174 | 43.2 | odd | 14 | inner | |
43.9.f.a.22.6 | yes | 174 | 1.1 | even | 1 | trivial |