Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [22,14,Mod(3,22)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(22, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([8]))
N = Newforms(chi, 14, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("22.3");
S:= CuspForms(chi, 14);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 22 = 2 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 14 \) |
Character orbit: | \([\chi]\) | \(=\) | 22.c (of order \(5\), degree \(4\), 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: | \(23.5908043694\) |
Analytic rank: | \(0\) |
Dimension: | \(28\) |
Relative dimension: | \(7\) over \(\Q(\zeta_{5})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 3.1 | ||
Character | \(\chi\) | \(=\) | 22.3 |
Dual form | 22.14.c.b.15.1 |
$q$-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 \(\left(\mathbb{Z}/22\mathbb{Z}\right)^\times\).
\(n\) | \(13\) |
\(\chi(n)\) | \(e\left(\frac{4}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −51.7771 | + | 37.6183i | −0.572061 | + | 0.415627i | ||||
\(3\) | −675.486 | − | 2078.93i | −0.534969 | − | 1.64646i | −0.743717 | − | 0.668494i | \(-0.766939\pi\) |
0.208749 | − | 0.977969i | \(-0.433061\pi\) | |||||||
\(4\) | 1265.73 | − | 3895.53i | 0.154508 | − | 0.475528i | ||||
\(5\) | −36563.1 | − | 26564.6i | −1.04650 | − | 0.760324i | −0.0749534 | − | 0.997187i | \(-0.523881\pi\) |
−0.971543 | + | 0.236863i | \(0.923881\pi\) | |||||||
\(6\) | 113181. | + | 82230.5i | 0.990350 | + | 0.719531i | ||||
\(7\) | −161776. | + | 497897.i | −0.519730 | + | 1.59957i | 0.254777 | + | 0.967000i | \(0.417998\pi\) |
−0.774507 | + | 0.632565i | \(0.782002\pi\) | |||||||
\(8\) | 81007.0 | + | 249314.i | 0.109254 | + | 0.336249i | ||||
\(9\) | −2.57584e6 | + | 1.87146e6i | −1.61563 | + | 1.17383i | ||||
\(10\) | 2.89245e6 | 0.914671 | ||||||||
\(11\) | −1.93503e6 | + | 5.54782e6i | −0.329334 | + | 0.944214i | ||||
\(12\) | −8.95352e6 | −0.865597 | ||||||||
\(13\) | 2.05512e7 | − | 1.49313e7i | 1.18088 | − | 0.857957i | 0.188606 | − | 0.982053i | \(-0.439603\pi\) |
0.992270 | + | 0.124096i | \(0.0396031\pi\) | |||||||
\(14\) | −1.03537e7 | − | 3.18654e7i | −0.367505 | − | 1.13106i | ||||
\(15\) | −3.05282e7 | + | 9.39562e7i | −0.692004 | + | 2.12977i | ||||
\(16\) | −1.35731e7 | − | 9.86140e6i | −0.202254 | − | 0.146946i | ||||
\(17\) | −7.57125e7 | − | 5.50083e7i | −0.760763 | − | 0.552727i | 0.138381 | − | 0.990379i | \(-0.455810\pi\) |
−0.899144 | + | 0.437652i | \(0.855810\pi\) | |||||||
\(18\) | 6.29686e7 | − | 1.93797e8i | 0.436368 | − | 1.34300i | ||||
\(19\) | −5.96109e7 | − | 1.83464e8i | −0.290688 | − | 0.894647i | −0.984636 | − | 0.174621i | \(-0.944130\pi\) |
0.693947 | − | 0.720026i | \(-0.255870\pi\) | |||||||
\(20\) | −1.49762e8 | + | 1.08809e8i | −0.523248 | + | 0.380162i | ||||
\(21\) | 1.14437e9 | 2.91167 | ||||||||
\(22\) | −1.08509e8 | − | 3.60043e8i | −0.204042 | − | 0.677028i | ||||
\(23\) | −4.22112e8 | −0.594562 | −0.297281 | − | 0.954790i | \(-0.596080\pi\) | ||||
−0.297281 | + | 0.954790i | \(0.596080\pi\) | |||||||
\(24\) | 4.63587e8 | − | 3.36816e8i | 0.495175 | − | 0.359766i | ||||
\(25\) | 2.53961e8 | + | 7.81612e8i | 0.208045 | + | 0.640297i | ||||
\(26\) | −5.02390e8 | + | 1.54620e9i | −0.318944 | + | 0.981608i | ||||
\(27\) | 2.81111e9 | + | 2.04239e9i | 1.39641 | + | 1.01455i | ||||
\(28\) | 1.73480e9 | + | 1.26041e9i | 0.680336 | + | 0.494293i | ||||
\(29\) | −9.30511e8 | + | 2.86382e9i | −0.290492 | + | 0.894043i | 0.694206 | + | 0.719776i | \(0.255756\pi\) |
−0.984698 | + | 0.174267i | \(0.944244\pi\) | |||||||
\(30\) | −1.95381e9 | − | 6.01320e9i | −0.489320 | − | 1.50597i | ||||
\(31\) | 1.14439e9 | − | 8.31450e8i | 0.231592 | − | 0.168262i | −0.465937 | − | 0.884818i | \(-0.654283\pi\) |
0.697529 | + | 0.716556i | \(0.254283\pi\) | |||||||
\(32\) | 1.07374e9 | 0.176777 | ||||||||
\(33\) | 1.28406e10 | + | 2.75325e8i | 1.73080 | + | 0.0371112i | ||||
\(34\) | 5.98949e9 | 0.664931 | ||||||||
\(35\) | 1.91415e10 | − | 1.39071e10i | 1.76008 | − | 1.27878i | ||||
\(36\) | 4.02999e9 | + | 1.24030e10i | 0.308559 | + | 0.949646i | ||||
\(37\) | 3.23969e9 | − | 9.97074e9i | 0.207583 | − | 0.638875i | −0.792014 | − | 0.610503i | \(-0.790967\pi\) |
0.999597 | − | 0.0283727i | \(-0.00903252\pi\) | |||||||
\(38\) | 9.98806e9 | + | 7.25675e9i | 0.538131 | + | 0.390975i | ||||
\(39\) | −4.49232e10 | − | 3.26386e10i | −2.04433 | − | 1.48529i | ||||
\(40\) | 3.66106e9 | − | 1.12676e10i | 0.141325 | − | 0.434952i | ||||
\(41\) | 6.52563e7 | + | 2.00838e8i | 0.00214549 | + | 0.00660315i | 0.952124 | − | 0.305714i | \(-0.0988950\pi\) |
−0.949978 | + | 0.312317i | \(0.898895\pi\) | |||||||
\(42\) | −5.92522e10 | + | 4.30492e10i | −1.66565 | + | 1.21017i | ||||
\(43\) | −3.55892e10 | −0.858566 | −0.429283 | − | 0.903170i | \(-0.641234\pi\) | ||||
−0.429283 | + | 0.903170i | \(0.641234\pi\) | |||||||
\(44\) | 1.91625e10 | + | 1.45600e10i | 0.398115 | + | 0.302496i | ||||
\(45\) | 1.43895e11 | 2.58325 | ||||||||
\(46\) | 2.18557e10 | − | 1.58791e10i | 0.340126 | − | 0.247116i | ||||
\(47\) | 3.24840e10 | + | 9.99755e10i | 0.439576 | + | 1.35287i | 0.888324 | + | 0.459217i | \(0.151870\pi\) |
−0.448749 | + | 0.893658i | \(0.648130\pi\) | |||||||
\(48\) | −1.13328e10 | + | 3.48787e10i | −0.133742 | + | 0.411616i | ||||
\(49\) | −1.43345e11 | − | 1.04146e11i | −1.47947 | − | 1.07490i | ||||
\(50\) | −4.25523e10 | − | 3.09160e10i | −0.385139 | − | 0.279820i | ||||
\(51\) | −6.32159e10 | + | 1.94558e11i | −0.503060 | + | 1.54826i | ||||
\(52\) | −3.21530e10 | − | 9.89566e10i | −0.225527 | − | 0.694102i | ||||
\(53\) | 1.40161e11 | − | 1.01833e11i | 0.868630 | − | 0.631097i | −0.0615887 | − | 0.998102i | \(-0.519617\pi\) |
0.930219 | + | 0.367005i | \(0.119617\pi\) | |||||||
\(54\) | −2.22382e11 | −1.22051 | ||||||||
\(55\) | 2.18127e11 | − | 1.51442e11i | 1.06255 | − | 0.737716i | ||||
\(56\) | −1.37237e11 | −0.594635 | ||||||||
\(57\) | −3.41142e11 | + | 2.47854e11i | −1.31749 | + | 0.957215i | ||||
\(58\) | −5.95527e10 | − | 1.83284e11i | −0.205409 | − | 0.632184i | ||||
\(59\) | −7.83614e9 | + | 2.41172e10i | −0.0241860 | + | 0.0744369i | −0.962421 | − | 0.271562i | \(-0.912460\pi\) |
0.938235 | + | 0.345999i | \(0.112460\pi\) | |||||||
\(60\) | 3.27368e11 | + | 2.37847e11i | 0.905844 | + | 0.658135i | ||||
\(61\) | 4.26524e11 | + | 3.09887e11i | 1.05998 | + | 0.770123i | 0.974085 | − | 0.226181i | \(-0.0726240\pi\) |
0.0858981 | + | 0.996304i | \(0.472624\pi\) | |||||||
\(62\) | −2.79756e10 | + | 8.61001e10i | −0.0625509 | + | 0.192512i | ||||
\(63\) | −5.15083e11 | − | 1.58526e12i | −1.03792 | − | 3.19439i | ||||
\(64\) | −5.55952e10 | + | 4.03923e10i | −0.101127 | + | 0.0734732i | ||||
\(65\) | −1.14806e12 | −1.88811 | ||||||||
\(66\) | −6.75208e11 | + | 4.68787e11i | −1.00555 | + | 0.698136i | ||||
\(67\) | 1.08922e12 | 1.47105 | 0.735526 | − | 0.677496i | \(-0.236935\pi\) | ||||
0.735526 | + | 0.677496i | \(0.236935\pi\) | |||||||
\(68\) | −3.10118e11 | + | 2.25314e11i | −0.380382 | + | 0.276363i | ||||
\(69\) | 2.85131e11 | + | 8.77543e11i | 0.318072 | + | 0.978925i | ||||
\(70\) | −4.67929e11 | + | 1.44014e12i | −0.475382 | + | 1.46308i | ||||
\(71\) | 7.98549e11 | + | 5.80180e11i | 0.739814 | + | 0.537506i | 0.892653 | − | 0.450745i | \(-0.148842\pi\) |
−0.152839 | + | 0.988251i | \(0.548842\pi\) | |||||||
\(72\) | −6.75242e11 | − | 4.90592e11i | −0.571213 | − | 0.415011i | ||||
\(73\) | 2.36077e11 | − | 7.26571e11i | 0.182581 | − | 0.561927i | −0.817317 | − | 0.576188i | \(-0.804540\pi\) |
0.999898 | + | 0.0142612i | \(0.00453962\pi\) | |||||||
\(74\) | 2.07340e11 | + | 6.38127e11i | 0.146783 | + | 0.451753i | ||||
\(75\) | 1.45337e12 | − | 1.05594e12i | 0.942928 | − | 0.685077i | ||||
\(76\) | −7.90139e11 | −0.470344 | ||||||||
\(77\) | −2.44920e12 | − | 1.86095e12i | −1.33917 | − | 1.01753i | ||||
\(78\) | 3.55380e12 | 1.78681 | ||||||||
\(79\) | 2.51581e12 | − | 1.82785e12i | 1.16440 | − | 0.845986i | 0.174072 | − | 0.984733i | \(-0.444307\pi\) |
0.990328 | + | 0.138746i | \(0.0443073\pi\) | |||||||
\(80\) | 2.34308e11 | + | 7.21126e11i | 0.0999315 | + | 0.307558i | ||||
\(81\) | 7.78498e11 | − | 2.39597e12i | 0.306270 | − | 0.942603i | ||||
\(82\) | −1.09340e10 | − | 7.94399e9i | −0.00397180 | − | 0.00288568i | ||||
\(83\) | 2.04769e12 | + | 1.48773e12i | 0.687474 | + | 0.499479i | 0.875829 | − | 0.482622i | \(-0.160315\pi\) |
−0.188355 | + | 0.982101i | \(0.560315\pi\) | |||||||
\(84\) | 1.44847e12 | − | 4.45793e12i | 0.449877 | − | 1.38458i | ||||
\(85\) | 1.30701e12 | + | 4.02255e12i | 0.375884 | + | 1.15685i | ||||
\(86\) | 1.84271e12 | − | 1.33880e12i | 0.491152 | − | 0.356843i | ||||
\(87\) | 6.58223e12 | 1.62741 | ||||||||
\(88\) | −1.53990e12 | − | 3.30180e10i | −0.353472 | − | 0.00757903i | ||||
\(89\) | −3.94634e12 | −0.841704 | −0.420852 | − | 0.907129i | \(-0.638269\pi\) | ||||
−0.420852 | + | 0.907129i | \(0.638269\pi\) | |||||||
\(90\) | −7.45049e12 | + | 5.41310e12i | −1.47777 | + | 1.07367i | ||||
\(91\) | 4.10955e12 | + | 1.26479e13i | 0.758621 | + | 2.33479i | ||||
\(92\) | −5.34282e11 | + | 1.64435e12i | −0.0918649 | + | 0.282731i | ||||
\(93\) | −2.50155e12 | − | 1.81748e12i | −0.400931 | − | 0.291294i | ||||
\(94\) | −5.44283e12 | − | 3.95445e12i | −0.813755 | − | 0.591228i | ||||
\(95\) | −2.69408e12 | + | 8.29154e12i | −0.376017 | + | 1.15726i | ||||
\(96\) | −7.25298e11 | − | 2.23224e12i | −0.0945700 | − | 0.291056i | ||||
\(97\) | 5.37832e11 | − | 3.90758e11i | 0.0655587 | − | 0.0476312i | −0.554523 | − | 0.832168i | \(-0.687099\pi\) |
0.620082 | + | 0.784537i | \(0.287099\pi\) | |||||||
\(98\) | 1.13398e13 | 1.29311 | ||||||||
\(99\) | −5.39819e12 | − | 1.79117e13i | −0.576261 | − | 1.91209i | ||||
\(100\) | 3.36624e12 | 0.336624 | ||||||||
\(101\) | 4.86948e11 | − | 3.53789e11i | 0.0456451 | − | 0.0331631i | −0.564729 | − | 0.825277i | \(-0.691019\pi\) |
0.610374 | + | 0.792113i | \(0.291019\pi\) | |||||||
\(102\) | −4.04582e12 | − | 1.24517e13i | −0.355717 | − | 1.09479i | ||||
\(103\) | −5.60219e12 | + | 1.72418e13i | −0.462291 | + | 1.42279i | 0.400066 | + | 0.916486i | \(0.368987\pi\) |
−0.862357 | + | 0.506300i | \(0.831013\pi\) | |||||||
\(104\) | 5.38736e12 | + | 3.91415e12i | 0.417503 | + | 0.303334i | ||||
\(105\) | −4.18417e13 | − | 3.03998e13i | −3.04705 | − | 2.21381i | ||||
\(106\) | −3.42636e12 | + | 1.05452e13i | −0.234609 | + | 0.722052i | ||||
\(107\) | −3.38325e12 | − | 1.04126e13i | −0.217941 | − | 0.670753i | −0.998932 | − | 0.0462108i | \(-0.985285\pi\) |
0.780991 | − | 0.624543i | \(-0.214715\pi\) | |||||||
\(108\) | 1.15143e13 | − | 8.36564e12i | 0.698206 | − | 0.507276i | ||||
\(109\) | 1.15200e13 | 0.657930 | 0.328965 | − | 0.944342i | \(-0.393300\pi\) | ||||
0.328965 | + | 0.944342i | \(0.393300\pi\) | |||||||
\(110\) | −5.59698e12 | + | 1.60468e13i | −0.301232 | + | 0.863645i | ||||
\(111\) | −2.29169e13 | −1.16294 | ||||||||
\(112\) | 7.10576e12 | − | 5.16263e12i | 0.340168 | − | 0.247146i | ||||
\(113\) | 3.75921e12 | + | 1.15697e13i | 0.169858 | + | 0.522770i | 0.999361 | − | 0.0357322i | \(-0.0113763\pi\) |
−0.829503 | + | 0.558502i | \(0.811376\pi\) | |||||||
\(114\) | 8.33950e12 | − | 2.56663e13i | 0.355843 | − | 1.09517i | ||||
\(115\) | 1.54337e13 | + | 1.12133e13i | 0.622207 | + | 0.452060i | ||||
\(116\) | 9.97830e12 | + | 7.24966e12i | 0.380259 | + | 0.276274i | ||||
\(117\) | −2.49933e13 | + | 7.69213e13i | −0.900772 | + | 2.77229i | ||||
\(118\) | −5.01513e11 | − | 1.54350e12i | −0.0171021 | − | 0.0526348i | ||||
\(119\) | 3.96370e13 | − | 2.87979e13i | 1.27951 | − | 0.929621i | ||||
\(120\) | −2.58976e13 | −0.791737 | ||||||||
\(121\) | −2.70340e13 | − | 2.14704e13i | −0.783079 | − | 0.621922i | ||||
\(122\) | −3.37416e13 | −0.926460 | ||||||||
\(123\) | 3.73449e11 | − | 2.71327e11i | 0.00972407 | − | 0.00706495i | ||||
\(124\) | −1.79044e12 | − | 5.51041e12i | −0.0442302 | − | 0.136127i | ||||
\(125\) | −5.57053e12 | + | 1.71443e13i | −0.130611 | + | 0.401981i | ||||
\(126\) | 8.63043e13 | + | 6.27037e13i | 1.92143 | + | 1.39600i | ||||
\(127\) | −4.38419e12 | − | 3.18530e12i | −0.0927181 | − | 0.0673637i | 0.540460 | − | 0.841369i | \(-0.318250\pi\) |
−0.633178 | + | 0.774006i | \(0.718250\pi\) | |||||||
\(128\) | 1.35907e12 | − | 4.18279e12i | 0.0273135 | − | 0.0840623i | ||||
\(129\) | 2.40400e13 | + | 7.39876e13i | 0.459306 | + | 1.41360i | ||||
\(130\) | 5.94431e13 | − | 4.31879e13i | 1.08011 | − | 0.784749i | ||||
\(131\) | −1.73191e13 | −0.299407 | −0.149703 | − | 0.988731i | \(-0.547832\pi\) | ||||
−0.149703 | + | 0.988731i | \(0.547832\pi\) | |||||||
\(132\) | 1.73254e13 | − | 4.96726e13i | 0.285070 | − | 0.817309i | ||||
\(133\) | 1.00990e14 | 1.58212 | ||||||||
\(134\) | −5.63965e13 | + | 4.09744e13i | −0.841532 | + | 0.611409i | ||||
\(135\) | −4.85275e13 | − | 1.49352e14i | −0.689951 | − | 2.12345i | ||||
\(136\) | 7.58110e12 | − | 2.33322e13i | 0.102738 | − | 0.316194i | ||||
\(137\) | −1.91684e13 | − | 1.39267e13i | −0.247687 | − | 0.179955i | 0.457014 | − | 0.889459i | \(-0.348919\pi\) |
−0.704701 | + | 0.709504i | \(0.748919\pi\) | |||||||
\(138\) | −4.77749e13 | − | 3.47105e13i | −0.588824 | − | 0.427806i | ||||
\(139\) | −8.82190e12 | + | 2.71510e13i | −0.103745 | + | 0.319293i | −0.989434 | − | 0.144985i | \(-0.953686\pi\) |
0.885689 | + | 0.464279i | \(0.153686\pi\) | |||||||
\(140\) | −2.99475e13 | − | 9.21689e13i | −0.336146 | − | 1.03455i | ||||
\(141\) | 1.85900e14 | − | 1.35064e14i | 1.99230 | − | 1.44749i | ||||
\(142\) | −6.31719e13 | −0.646621 | ||||||||
\(143\) | 4.30690e13 | + | 1.42907e14i | 0.421192 | + | 1.39755i | ||||
\(144\) | 5.34173e13 | 0.499259 | ||||||||
\(145\) | 1.10099e14 | − | 7.99913e13i | 0.983761 | − | 0.714745i | ||||
\(146\) | 1.51090e13 | + | 4.65006e13i | 0.129104 | + | 0.397342i | ||||
\(147\) | −1.19685e14 | + | 3.68353e14i | −0.978312 | + | 3.01093i | ||||
\(148\) | −3.47407e13 | − | 2.52406e13i | −0.271730 | − | 0.197423i | ||||
\(149\) | −1.70121e14 | − | 1.23600e14i | −1.27364 | − | 0.925355i | −0.274300 | − | 0.961644i | \(-0.588446\pi\) |
−0.999341 | + | 0.0362897i | \(0.988446\pi\) | |||||||
\(150\) | −3.55289e13 | + | 1.09347e14i | −0.254676 | + | 0.783812i | ||||
\(151\) | −3.77536e13 | − | 1.16194e14i | −0.259184 | − | 0.797686i | −0.992976 | − | 0.118312i | \(-0.962252\pi\) |
0.733792 | − | 0.679374i | \(-0.237748\pi\) | |||||||
\(152\) | 4.09111e13 | − | 2.97237e13i | 0.269065 | − | 0.195487i | ||||
\(153\) | 2.97969e14 | 1.87792 | ||||||||
\(154\) | 1.96818e14 | + | 4.22011e12i | 1.18900 | + | 0.0254941i | ||||
\(155\) | −6.39297e13 | −0.370294 | ||||||||
\(156\) | −1.84005e14 | + | 1.33688e14i | −1.02216 | + | 0.742645i | ||||
\(157\) | 8.73192e13 | + | 2.68741e14i | 0.465331 | + | 1.43214i | 0.858566 | + | 0.512703i | \(0.171356\pi\) |
−0.393235 | + | 0.919438i | \(0.628644\pi\) | |||||||
\(158\) | −6.15011e13 | + | 1.89281e14i | −0.314494 | + | 0.967912i | ||||
\(159\) | −3.06381e14 | − | 2.22599e14i | −1.50377 | − | 1.09255i | ||||
\(160\) | −3.92593e13 | − | 2.85236e13i | −0.184996 | − | 0.134408i | ||||
\(161\) | 6.82878e13 | − | 2.10168e14i | 0.309012 | − | 0.951040i | ||||
\(162\) | 4.98239e13 | + | 1.53342e14i | 0.216566 | + | 0.666521i | ||||
\(163\) | 8.98730e13 | − | 6.52965e13i | 0.375327 | − | 0.272691i | −0.384090 | − | 0.923296i | \(-0.625485\pi\) |
0.759416 | + | 0.650605i | \(0.225485\pi\) | |||||||
\(164\) | 8.64968e11 | 0.00347148 | ||||||||
\(165\) | −4.62179e14 | − | 3.51174e14i | −1.78306 | − | 1.35480i | ||||
\(166\) | −1.61989e14 | −0.600874 | ||||||||
\(167\) | −1.65297e13 | + | 1.20095e13i | −0.0589669 | + | 0.0428419i | −0.616878 | − | 0.787059i | \(-0.711603\pi\) |
0.557911 | + | 0.829901i | \(0.311603\pi\) | |||||||
\(168\) | 9.27020e13 | + | 2.85307e14i | 0.318111 | + | 0.979045i | ||||
\(169\) | 1.05813e14 | − | 3.25659e14i | 0.349362 | − | 1.07523i | ||||
\(170\) | −2.18994e14 | − | 1.59109e14i | −0.695848 | − | 0.505563i | ||||
\(171\) | 4.96893e14 | + | 3.61014e14i | 1.51981 | + | 1.10420i | ||||
\(172\) | −4.50465e13 | + | 1.38639e14i | −0.132656 | + | 0.408272i | ||||
\(173\) | 2.03127e13 | + | 6.25160e13i | 0.0576059 | + | 0.177293i | 0.975719 | − | 0.219025i | \(-0.0702877\pi\) |
−0.918113 | + | 0.396318i | \(0.870288\pi\) | |||||||
\(174\) | −3.40809e14 | + | 2.47612e14i | −0.930980 | + | 0.676397i | ||||
\(175\) | −4.30247e14 | −1.13232 | ||||||||
\(176\) | 8.09736e13 | − | 5.62188e13i | 0.205358 | − | 0.142577i | ||||
\(177\) | 5.54312e13 | 0.135496 | ||||||||
\(178\) | 2.04330e14 | − | 1.48454e14i | 0.481507 | − | 0.349835i | ||||
\(179\) | 1.40228e14 | + | 4.31577e14i | 0.318632 | + | 0.980649i | 0.974233 | + | 0.225542i | \(0.0724152\pi\) |
−0.655601 | + | 0.755107i | \(0.727585\pi\) | |||||||
\(180\) | 1.82133e14 | − | 5.60549e14i | 0.399133 | − | 1.22841i | ||||
\(181\) | −1.60153e14 | − | 1.16358e14i | −0.338552 | − | 0.245972i | 0.405499 | − | 0.914096i | \(-0.367098\pi\) |
−0.744051 | + | 0.668123i | \(0.767098\pi\) | |||||||
\(182\) | −6.88571e14 | − | 5.00276e14i | −1.40438 | − | 1.02034i | ||||
\(183\) | 3.56124e14 | − | 1.09604e15i | 0.700922 | − | 2.15722i | ||||
\(184\) | −3.41940e13 | − | 1.05238e14i | −0.0649583 | − | 0.199921i | ||||
\(185\) | −3.83322e14 | + | 2.78500e14i | −0.702987 | + | 0.510750i | ||||
\(186\) | 1.97893e14 | 0.350427 | ||||||||
\(187\) | 4.51683e14 | − | 3.13597e14i | 0.772437 | − | 0.536291i | ||||
\(188\) | 4.30573e14 | 0.711248 | ||||||||
\(189\) | −1.47167e15 | + | 1.06923e15i | −2.34860 | + | 1.70636i | ||||
\(190\) | −1.72421e14 | − | 5.30658e14i | −0.265884 | − | 0.818308i | ||||
\(191\) | −1.07129e14 | + | 3.29710e14i | −0.159658 | + | 0.491377i | −0.998603 | − | 0.0528393i | \(-0.983173\pi\) |
0.838945 | + | 0.544216i | \(0.183173\pi\) | |||||||
\(192\) | 1.21527e14 | + | 8.82943e13i | 0.175071 | + | 0.127196i | ||||
\(193\) | 8.12895e14 | + | 5.90603e14i | 1.13217 | + | 0.822570i | 0.986009 | − | 0.166691i | \(-0.0533081\pi\) |
0.146161 | + | 0.989261i | \(0.453308\pi\) | |||||||
\(194\) | −1.31477e13 | + | 4.04646e13i | −0.0177068 | + | 0.0544959i | ||||
\(195\) | 7.75497e14 | + | 2.38673e15i | 1.01008 | + | 3.10870i | ||||
\(196\) | −5.87139e14 | + | 4.26582e14i | −0.739736 | + | 0.537450i | ||||
\(197\) | 4.31169e14 | 0.525554 | 0.262777 | − | 0.964857i | \(-0.415362\pi\) | ||||
0.262777 | + | 0.964857i | \(0.415362\pi\) | |||||||
\(198\) | 9.53308e14 | + | 7.24343e14i | 1.12437 | + | 0.854320i | ||||
\(199\) | 9.18873e14 | 1.04884 | 0.524421 | − | 0.851459i | \(-0.324282\pi\) | ||||
0.524421 | + | 0.851459i | \(0.324282\pi\) | |||||||
\(200\) | −1.74294e14 | + | 1.26632e14i | −0.192570 | + | 0.139910i | ||||
\(201\) | −7.35751e14 | − | 2.26441e15i | −0.786967 | − | 2.42203i | ||||
\(202\) | −1.19039e13 | + | 3.66363e13i | −0.0123283 | + | 0.0379426i | ||||
\(203\) | −1.27535e15 | − | 9.26596e14i | −1.27910 | − | 0.929322i | ||||
\(204\) | 6.77893e14 | + | 4.92518e14i | 0.658514 | + | 0.478439i | ||||
\(205\) | 2.94922e12 | − | 9.07677e12i | 0.00277528 | − | 0.00854144i | ||||
\(206\) | −3.58540e14 | − | 1.10347e15i | −0.326889 | − | 1.00606i | ||||
\(207\) | 1.08730e15 | − | 7.89966e14i | 0.960595 | − | 0.697913i | ||||
\(208\) | −4.26185e14 | −0.364911 | ||||||||
\(209\) | 1.13317e15 | + | 2.42971e13i | 0.940471 | + | 0.0201653i | ||||
\(210\) | 3.31003e15 | 2.66322 | ||||||||
\(211\) | −8.94920e12 | + | 6.50197e12i | −0.00698149 | + | 0.00507235i | −0.591271 | − | 0.806473i | \(-0.701373\pi\) |
0.584289 | + | 0.811546i | \(0.301373\pi\) | |||||||
\(212\) | −2.19287e14 | − | 6.74896e14i | −0.165894 | − | 0.510568i | ||||
\(213\) | 6.66746e14 | − | 2.05203e15i | 0.489207 | − | 1.50562i | ||||
\(214\) | 5.66877e14 | + | 4.11860e14i | 0.403459 | + | 0.293130i | ||||
\(215\) | 1.30125e15 | + | 9.45415e14i | 0.898486 | + | 0.652788i | ||||
\(216\) | −2.81477e14 | + | 8.66297e14i | −0.188579 | + | 0.580387i | ||||
\(217\) | 2.28840e14 | + | 7.04298e14i | 0.148780 | + | 0.457898i | ||||
\(218\) | −5.96471e14 | + | 4.33361e14i | −0.376376 | + | 0.273453i | ||||
\(219\) | −1.66996e15 | −1.02287 | ||||||||
\(220\) | −3.13857e14 | − | 1.04140e15i | −0.186631 | − | 0.619258i | ||||
\(221\) | −2.37732e15 | −1.37258 | ||||||||
\(222\) | 1.18657e15 | − | 8.62092e14i | 0.665271 | − | 0.483347i | ||||
\(223\) | 5.93634e14 | + | 1.82702e15i | 0.323249 | + | 0.994859i | 0.972225 | + | 0.234049i | \(0.0751978\pi\) |
−0.648975 | + | 0.760809i | \(0.724802\pi\) | |||||||
\(224\) | −1.73706e14 | + | 5.34612e14i | −0.0918762 | + | 0.282766i | ||||
\(225\) | −2.11692e15 | − | 1.53803e15i | −1.08772 | − | 0.790277i | ||||
\(226\) | −6.29871e14 | − | 4.57628e14i | −0.314446 | − | 0.228459i | ||||
\(227\) | −1.62289e14 | + | 4.99475e14i | −0.0787267 | + | 0.242296i | −0.982672 | − | 0.185352i | \(-0.940658\pi\) |
0.903946 | + | 0.427648i | \(0.140658\pi\) | |||||||
\(228\) | 5.33728e14 | + | 1.64265e15i | 0.251619 | + | 0.774404i | ||||
\(229\) | −1.65618e15 | + | 1.20328e15i | −0.758885 | + | 0.551362i | −0.898568 | − | 0.438834i | \(-0.855392\pi\) |
0.139683 | + | 0.990196i | \(0.455392\pi\) | |||||||
\(230\) | −1.22094e15 | −0.543829 | ||||||||
\(231\) | −2.21440e15 | + | 6.34877e15i | −0.958909 | + | 2.74923i | ||||
\(232\) | −7.89367e14 | −0.332359 | ||||||||
\(233\) | −1.08317e15 | + | 7.86972e14i | −0.443491 | + | 0.322215i | −0.787020 | − | 0.616927i | \(-0.788377\pi\) |
0.343530 | + | 0.939142i | \(0.388377\pi\) | |||||||
\(234\) | −1.59957e15 | − | 4.92296e15i | −0.636942 | − | 1.96030i | ||||
\(235\) | 1.46810e15 | − | 4.51834e15i | 0.568609 | − | 1.75000i | ||||
\(236\) | 8.40306e13 | + | 6.10518e13i | 0.0316599 | + | 0.0230023i | ||||
\(237\) | −5.49936e15 | − | 3.99552e15i | −2.01580 | − | 1.46457i | ||||
\(238\) | −9.68958e14 | + | 2.98215e15i | −0.345585 | + | 1.06360i | ||||
\(239\) | 7.93699e14 | + | 2.44275e15i | 0.275467 | + | 0.847800i | 0.989095 | + | 0.147276i | \(0.0470505\pi\) |
−0.713629 | + | 0.700524i | \(0.752950\pi\) | |||||||
\(240\) | 1.34090e15 | − | 9.74222e14i | 0.452922 | − | 0.329067i | ||||
\(241\) | 4.03737e15 | 1.32736 | 0.663678 | − | 0.748019i | \(-0.268995\pi\) | ||||
0.663678 | + | 0.748019i | \(0.268995\pi\) | |||||||
\(242\) | 2.20742e15 | + | 9.47052e13i | 0.706457 | + | 0.0303092i | ||||
\(243\) | 3.29072e13 | 0.0102530 | ||||||||
\(244\) | 1.74704e15 | − | 1.26930e15i | 0.529992 | − | 0.385062i | ||||
\(245\) | 2.47452e15 | + | 7.61579e15i | 0.730990 | + | 2.24976i | ||||
\(246\) | −9.12927e12 | + | 2.80970e13i | −0.00262638 | + | 0.00808317i | ||||
\(247\) | −3.96442e15 | − | 2.88032e15i | −1.11084 | − | 0.807069i | ||||
\(248\) | 2.99996e14 | + | 2.17960e14i | 0.0818802 | + | 0.0594895i | ||||
\(249\) | 1.70971e15 | − | 5.26195e15i | 0.454597 | − | 1.39911i | ||||
\(250\) | −3.56514e14 | − | 1.09724e15i | −0.0923562 | − | 0.284243i | ||||
\(251\) | −4.61351e15 | + | 3.35191e15i | −1.16454 | + | 0.846084i | −0.990345 | − | 0.138628i | \(-0.955731\pi\) |
−0.174190 | + | 0.984712i | \(0.555731\pi\) | |||||||
\(252\) | −6.82739e15 | −1.67939 | ||||||||
\(253\) | 8.16801e14 | − | 2.34180e15i | 0.195809 | − | 0.561393i | ||||
\(254\) | 3.46826e14 | 0.0810386 | ||||||||
\(255\) | 7.47974e15 | − | 5.43435e15i | 1.70363 | − | 1.23776i | ||||
\(256\) | 8.69806e13 | + | 2.67699e14i | 0.0193136 | + | 0.0594410i | ||||
\(257\) | −1.33794e15 | + | 4.11776e15i | −0.289648 | + | 0.891446i | 0.695318 | + | 0.718702i | \(0.255263\pi\) |
−0.984967 | + | 0.172744i | \(0.944737\pi\) | |||||||
\(258\) | −4.02801e15 | − | 2.92652e15i | −0.850280 | − | 0.617765i | ||||
\(259\) | 4.44029e15 | + | 3.22606e15i | 0.914035 | + | 0.664086i | ||||
\(260\) | −1.45314e15 | + | 4.47229e15i | −0.291729 | + | 0.897849i | ||||
\(261\) | −2.96267e15 | − | 9.11816e15i | −0.580123 | − | 1.78543i | ||||
\(262\) | 8.96732e14 | − | 6.51514e14i | 0.171279 | − | 0.124442i | ||||
\(263\) | 9.40488e15 | 1.75243 | 0.876215 | − | 0.481920i | \(-0.160061\pi\) | ||||
0.876215 | + | 0.481920i | \(0.160061\pi\) | |||||||
\(264\) | 9.71539e14 | + | 3.22365e15i | 0.176618 | + | 0.586034i | ||||
\(265\) | −7.82989e15 | −1.38886 | ||||||||
\(266\) | −5.22894e15 | + | 3.79905e15i | −0.905073 | + | 0.657574i | ||||
\(267\) | 2.66570e15 | + | 8.20418e15i | 0.450285 | + | 1.38584i | ||||
\(268\) | 1.37866e15 | − | 4.24307e15i | 0.227290 | − | 0.699527i | ||||
\(269\) | −7.19336e13 | − | 5.22628e13i | −0.0115756 | − | 0.00841013i | 0.581982 | − | 0.813201i | \(-0.302277\pi\) |
−0.593558 | + | 0.804791i | \(0.702277\pi\) | |||||||
\(270\) | 8.13099e15 | + | 5.90751e15i | 1.27726 | + | 0.927983i | ||||
\(271\) | −7.94050e13 | + | 2.44384e14i | −0.0121772 | + | 0.0374776i | −0.956960 | − | 0.290218i | \(-0.906272\pi\) |
0.944783 | + | 0.327696i | \(0.106272\pi\) | |||||||
\(272\) | 4.85190e14 | + | 1.49326e15i | 0.0726464 | + | 0.223583i | ||||
\(273\) | 2.35181e16 | − | 1.70869e16i | 3.43832 | − | 2.49808i | ||||
\(274\) | 1.51638e15 | 0.216486 | ||||||||
\(275\) | −4.82767e15 | − | 1.03513e14i | −0.673093 | − | 0.0144322i | ||||
\(276\) | 3.77939e15 | 0.514651 | ||||||||
\(277\) | −1.14749e16 | + | 8.33703e15i | −1.52627 | + | 1.10890i | −0.568006 | + | 0.823024i | \(0.692285\pi\) |
−0.958266 | + | 0.285878i | \(0.907715\pi\) | |||||||
\(278\) | −5.64602e14 | − | 1.73767e15i | −0.0733586 | − | 0.225774i | ||||
\(279\) | −1.39175e15 | + | 4.28337e15i | −0.176658 | + | 0.543699i | ||||
\(280\) | 5.01783e15 | + | 3.64566e15i | 0.622284 | + | 0.452115i | ||||
\(281\) | −7.09634e15 | − | 5.15579e15i | −0.859891 | − | 0.624747i | 0.0679645 | − | 0.997688i | \(-0.478350\pi\) |
−0.927855 | + | 0.372941i | \(0.878350\pi\) | |||||||
\(282\) | −4.54447e15 | + | 1.39865e16i | −0.538102 | + | 1.65611i | ||||
\(283\) | 6.73113e14 | + | 2.07163e15i | 0.0778891 | + | 0.239718i | 0.982418 | − | 0.186694i | \(-0.0597774\pi\) |
−0.904529 | + | 0.426412i | \(0.859777\pi\) | |||||||
\(284\) | 3.27086e15 | − | 2.37642e15i | 0.369907 | − | 0.268753i | ||||
\(285\) | 1.90574e16 | 2.10655 | ||||||||
\(286\) | −7.60589e15 | − | 5.77911e15i | −0.821809 | − | 0.624428i | ||||
\(287\) | −1.10554e14 | −0.0116772 | ||||||||
\(288\) | −2.76579e15 | + | 2.00946e15i | −0.285607 | + | 0.207505i | ||||
\(289\) | −3.54221e14 | − | 1.09018e15i | −0.0357633 | − | 0.110068i | ||||
\(290\) | −2.69145e15 | + | 8.28344e15i | −0.265705 | + | 0.817756i | ||||
\(291\) | −1.17566e15 | − | 8.54165e14i | −0.113495 | − | 0.0824589i | ||||
\(292\) | −2.53157e15 | − | 1.83929e15i | −0.239002 | − | 0.173645i | ||||
\(293\) | 4.08217e15 | − | 1.25636e16i | 0.376922 | − | 1.16005i | −0.565251 | − | 0.824919i | \(-0.691221\pi\) |
0.942173 | − | 0.335127i | \(-0.108779\pi\) | |||||||
\(294\) | −7.65984e15 | − | 2.35746e16i | −0.691771 | − | 2.12905i | ||||
\(295\) | 9.27177e14 | − | 6.73634e14i | 0.0819067 | − | 0.0595087i | ||||
\(296\) | 2.74828e15 | 0.237501 | ||||||||
\(297\) | −1.67704e16 | + | 1.16435e16i | −1.41784 | + | 0.984385i | ||||
\(298\) | 1.34580e16 | 1.11320 | ||||||||
\(299\) | −8.67489e15 | + | 6.30268e15i | −0.702104 | + | 0.510108i | ||||
\(300\) | −2.27385e15 | − | 6.99818e15i | −0.180083 | − | 0.554239i | ||||
\(301\) | 5.75750e15 | − | 1.77198e16i | 0.446223 | − | 1.37333i | ||||
\(302\) | 6.32577e15 | + | 4.59594e15i | 0.479809 | + | 0.348602i | ||||
\(303\) | −1.06443e15 | − | 7.73353e14i | −0.0790205 | − | 0.0574117i | ||||
\(304\) | −1.00011e15 | + | 3.07801e15i | −0.0726721 | + | 0.223662i | ||||
\(305\) | −7.36297e15 | − | 2.26609e16i | −0.523726 | − | 1.61186i | ||||
\(306\) | −1.54280e16 | + | 1.12091e16i | −1.07429 | + | 0.780515i | ||||
\(307\) | 2.12463e16 | 1.44839 | 0.724193 | − | 0.689597i | \(-0.242212\pi\) | ||||
0.724193 | + | 0.689597i | \(0.242212\pi\) | |||||||
\(308\) | −1.03494e16 | + | 7.18546e15i | −0.690775 | + | 0.479595i | ||||
\(309\) | 3.96287e16 | 2.58988 | ||||||||
\(310\) | 3.31009e15 | − | 2.40492e15i | 0.211831 | − | 0.153904i | ||||
\(311\) | −5.92132e15 | − | 1.82239e16i | −0.371087 | − | 1.14209i | −0.946081 | − | 0.323931i | \(-0.894996\pi\) |
0.574994 | − | 0.818158i | \(-0.305004\pi\) | |||||||
\(312\) | 4.49816e15 | − | 1.38439e16i | 0.276077 | − | 0.849677i | ||||
\(313\) | 1.58602e16 | + | 1.15231e16i | 0.953388 | + | 0.692677i | 0.951606 | − | 0.307322i | \(-0.0994327\pi\) |
0.00178213 | + | 0.999998i | \(0.499433\pi\) | |||||||
\(314\) | −1.46307e16 | − | 1.06298e16i | −0.861434 | − | 0.625869i | ||||
\(315\) | −2.32789e16 | + | 7.16450e16i | −1.34259 | + | 4.13207i | ||||
\(316\) | −3.93607e15 | − | 1.21140e16i | −0.222381 | − | 0.684417i | ||||
\(317\) | −2.13256e16 | + | 1.54940e16i | −1.18037 | + | 0.857587i | −0.992213 | − | 0.124553i | \(-0.960250\pi\) |
−0.188154 | + | 0.982140i | \(0.560250\pi\) | |||||||
\(318\) | 2.42373e16 | 1.31434 | ||||||||
\(319\) | −1.40874e16 | − | 1.07039e16i | −0.748499 | − | 0.568725i | ||||
\(320\) | 3.10574e15 | 0.161693 | ||||||||
\(321\) | −1.93617e16 | + | 1.40671e16i | −0.987780 | + | 0.717664i | ||||
\(322\) | 4.37042e15 | + | 1.34508e16i | 0.218504 | + | 0.672487i | ||||
\(323\) | −5.57874e15 | + | 1.71696e16i | −0.273350 | + | 0.841285i | ||||
\(324\) | −8.34820e15 | − | 6.06532e15i | −0.400913 | − | 0.291280i | ||||
\(325\) | 1.68897e16 | + | 1.22711e16i | 0.795022 | + | 0.577617i | ||||
\(326\) | −2.19702e15 | + | 6.76173e15i | −0.101372 | + | 0.311992i | ||||
\(327\) | −7.78158e15 | − | 2.39493e16i | −0.351972 | − | 1.08326i | ||||
\(328\) | −4.47855e13 | + | 3.25386e13i | −0.00198590 | + | 0.00144284i | ||||
\(329\) | −5.50326e16 | −2.39247 | ||||||||
\(330\) | 3.71408e16 | + | 7.96362e14i | 1.58311 | + | 0.0339445i | ||||
\(331\) | −3.59034e16 | −1.50056 | −0.750280 | − | 0.661120i | \(-0.770081\pi\) | ||||
−0.750280 | + | 0.661120i | \(0.770081\pi\) | |||||||
\(332\) | 8.38733e15 | − | 6.09375e15i | 0.343737 | − | 0.249740i | ||||
\(333\) | 1.03149e16 | + | 3.17460e16i | 0.414551 | + | 1.27586i | ||||
\(334\) | 4.04082e14 | − | 1.24364e15i | 0.0159264 | − | 0.0490164i | ||||
\(335\) | −3.98251e16 | − | 2.89346e16i | −1.53945 | − | 1.11848i | ||||
\(336\) | −1.55326e16 | − | 1.12851e16i | −0.588897 | − | 0.427858i | ||||
\(337\) | −3.80314e15 | + | 1.17048e16i | −0.141432 | + | 0.435283i | −0.996535 | − | 0.0831755i | \(-0.973494\pi\) |
0.855103 | + | 0.518458i | \(0.173494\pi\) | |||||||
\(338\) | 6.77203e15 | + | 2.08422e16i | 0.247036 | + | 0.760299i | ||||
\(339\) | 2.15132e16 | − | 1.56303e16i | 0.769853 | − | 0.559331i | ||||
\(340\) | 1.73243e16 | 0.608194 | ||||||||
\(341\) | 2.39830e15 | + | 7.95777e15i | 0.0826038 | + | 0.274087i | ||||
\(342\) | −3.93084e16 | −1.32836 | ||||||||
\(343\) | 3.40077e16 | − | 2.47080e16i | 1.12763 | − | 0.819268i | ||||
\(344\) | −2.88298e15 | − | 8.87288e15i | −0.0938018 | − | 0.288692i | ||||
\(345\) | 1.28863e16 | − | 3.96601e16i | 0.411439 | − | 1.26628i | ||||
\(346\) | −3.40347e15 | − | 2.47277e15i | −0.106642 | − | 0.0774798i | ||||
\(347\) | 3.62303e16 | + | 2.63229e16i | 1.11412 | + | 0.809453i | 0.983307 | − | 0.181954i | \(-0.0582423\pi\) |
0.130810 | + | 0.991407i | \(0.458242\pi\) | |||||||
\(348\) | 8.33135e15 | − | 2.56413e16i | 0.251449 | − | 0.773881i | ||||
\(349\) | −1.61394e16 | − | 4.96721e16i | −0.478105 | − | 1.47146i | −0.841724 | − | 0.539908i | \(-0.818459\pi\) |
0.363619 | − | 0.931548i | \(-0.381541\pi\) | |||||||
\(350\) | 2.22769e16 | − | 1.61851e16i | 0.647758 | − | 0.470624i | ||||
\(351\) | 8.82671e16 | 2.51943 | ||||||||
\(352\) | −2.07773e15 | + | 5.95693e15i | −0.0582185 | + | 0.166915i | ||||
\(353\) | 1.86476e16 | 0.512965 | 0.256482 | − | 0.966549i | \(-0.417436\pi\) | ||||
0.256482 | + | 0.966549i | \(0.417436\pi\) | |||||||
\(354\) | −2.87006e15 | + | 2.08522e15i | −0.0775123 | + | 0.0563160i | ||||
\(355\) | −1.37851e16 | − | 4.24263e16i | −0.365533 | − | 1.12500i | ||||
\(356\) | −4.99502e15 | + | 1.53731e16i | −0.130050 | + | 0.400254i | ||||
\(357\) | −8.66432e16 | − | 6.29499e16i | −2.21509 | − | 1.60936i | ||||
\(358\) | −2.34958e16 | − | 1.70707e16i | −0.589861 | − | 0.428559i | ||||
\(359\) | −1.34145e16 | + | 4.12857e16i | −0.330721 | + | 1.01785i | 0.638071 | + | 0.769978i | \(0.279733\pi\) |
−0.968792 | + | 0.247877i | \(0.920267\pi\) | |||||||
\(360\) | 1.16565e16 | + | 3.58751e16i | 0.282230 | + | 0.868614i | ||||
\(361\) | 3.91615e15 | − | 2.84525e15i | 0.0931242 | − | 0.0676587i | ||||
\(362\) | 1.26695e16 | 0.295905 | ||||||||
\(363\) | −2.63745e16 | + | 7.07049e16i | −0.605050 | + | 1.62202i | ||||
\(364\) | 5.44718e16 | 1.22747 | ||||||||
\(365\) | −2.79328e16 | + | 2.02944e16i | −0.618317 | + | 0.449234i | ||||
\(366\) | 2.27920e16 | + | 7.01464e16i | 0.495627 | + | 1.52538i | ||||
\(367\) | 1.44637e16 | − | 4.45148e16i | 0.308995 | − | 0.950988i | −0.669161 | − | 0.743117i | \(-0.733347\pi\) |
0.978156 | − | 0.207871i | \(-0.0666535\pi\) | |||||||
\(368\) | 5.72935e15 | + | 4.16262e15i | 0.120253 | + | 0.0873687i | ||||
\(369\) | −5.43950e14 | − | 3.95203e14i | −0.0112173 | − | 0.00814984i | ||||
\(370\) | 9.37062e15 | − | 2.88398e16i | 0.189870 | − | 0.584361i | ||||
\(371\) | 2.80276e16 | + | 8.62600e16i | 0.558027 | + | 1.71743i | ||||
\(372\) | −1.02463e16 | + | 7.44441e15i | −0.200466 | + | 0.145647i | ||||
\(373\) | −1.32896e16 | −0.255509 | −0.127754 | − | 0.991806i | \(-0.540777\pi\) | ||||
−0.127754 | + | 0.991806i | \(0.540777\pi\) | |||||||
\(374\) | −1.15899e16 | + | 3.32286e16i | −0.218984 | + | 0.627837i | ||||
\(375\) | 3.94047e16 | 0.731720 | ||||||||
\(376\) | −2.22938e16 | + | 1.61974e16i | −0.406878 | + | 0.295614i | ||||
\(377\) | 2.36374e16 | + | 7.27485e16i | 0.424015 | + | 1.30498i | ||||
\(378\) | 3.59762e16 | − | 1.10723e17i | 0.634335 | − | 1.95228i | ||||
\(379\) | 5.88746e16 | + | 4.27749e16i | 1.02041 | + | 0.741368i | 0.966366 | − | 0.257171i | \(-0.0827902\pi\) |
0.0540397 | + | 0.998539i | \(0.482790\pi\) | |||||||
\(380\) | 2.88899e16 | + | 2.09898e16i | 0.492213 | + | 0.357614i | ||||
\(381\) | −3.66056e15 | + | 1.12660e16i | −0.0613106 | + | 0.188695i | ||||
\(382\) | −6.85627e15 | − | 2.11014e16i | −0.112895 | − | 0.347456i | ||||
\(383\) | 5.89838e16 | − | 4.28543e16i | 0.954863 | − | 0.693748i | 0.00291074 | − | 0.999996i | \(-0.499073\pi\) |
0.951952 | + | 0.306247i | \(0.0990735\pi\) | |||||||
\(384\) | −9.61377e15 | −0.153017 | ||||||||
\(385\) | 4.01148e16 | + | 1.33104e17i | 0.627783 | + | 2.08304i | ||||
\(386\) | −6.43068e16 | −0.989553 | ||||||||
\(387\) | 9.16723e16 | − | 6.66038e16i | 1.38713 | − | 1.00781i | ||||
\(388\) | −8.41456e14 | − | 2.58974e15i | −0.0125206 | − | 0.0385344i | ||||
\(389\) | 3.31215e16 | − | 1.01938e17i | 0.484661 | − | 1.49163i | −0.347811 | − | 0.937565i | \(-0.613075\pi\) |
0.832471 | − | 0.554068i | \(-0.186925\pi\) | |||||||
\(390\) | −1.29938e17 | − | 9.44053e16i | −1.86989 | − | 1.35855i | ||||
\(391\) | 3.19592e16 | + | 2.32197e16i | 0.452321 | + | 0.328630i | ||||
\(392\) | 1.43531e16 | − | 4.41743e16i | 0.199796 | − | 0.614908i | ||||
\(393\) | 1.16988e16 | + | 3.60052e16i | 0.160173 | + | 0.492963i | ||||
\(394\) | −2.23247e16 | + | 1.62198e16i | −0.300649 | + | 0.218434i | ||||
\(395\) | −1.40542e17 | −1.86176 | ||||||||
\(396\) | −7.66081e16 | − | 1.64260e15i | −0.998288 | − | 0.0214050i | ||||
\(397\) | 8.36373e16 | 1.07216 | 0.536082 | − | 0.844166i | \(-0.319904\pi\) | ||||
0.536082 | + | 0.844166i | \(0.319904\pi\) | |||||||
\(398\) | −4.75766e16 | + | 3.45664e16i | −0.600002 | + | 0.435927i | ||||
\(399\) | −6.82170e16 | − | 2.09950e17i | −0.846387 | − | 2.60491i | ||||
\(400\) | 4.26076e15 | − | 1.31133e16i | 0.0520112 | − | 0.160074i | ||||
\(401\) | −1.22349e17 | − | 8.88920e16i | −1.46948 | − | 1.06764i | −0.980765 | − | 0.195193i | \(-0.937467\pi\) |
−0.488713 | − | 0.872445i | \(-0.662533\pi\) | |||||||
\(402\) | 1.23278e17 | + | 8.95668e16i | 1.45686 | + | 1.05847i | ||||
\(403\) | 1.11040e16 | − | 3.41745e16i | 0.129121 | − | 0.397392i | ||||
\(404\) | −7.61847e14 | − | 2.34472e15i | −0.00871743 | − | 0.0268295i | ||||
\(405\) | −9.21124e16 | + | 6.69236e16i | −1.03720 | + | 0.753566i | ||||
\(406\) | 1.00891e17 | 1.11798 | ||||||||
\(407\) | 4.90470e16 | + | 3.72669e16i | 0.534871 | + | 0.406406i | ||||
\(408\) | −5.36270e16 | −0.575563 | ||||||||
\(409\) | −8.67324e16 | + | 6.30148e16i | −0.916179 | + | 0.665643i | −0.942570 | − | 0.334009i | \(-0.891598\pi\) |
0.0263914 | + | 0.999652i | \(0.491598\pi\) | |||||||
\(410\) | 1.88750e14 | + | 5.80913e14i | 0.00196242 | + | 0.00603971i | ||||
\(411\) | −1.60046e16 | + | 4.92572e16i | −0.163785 | + | 0.504078i | ||||
\(412\) | 6.00749e16 | + | 4.36470e16i | 0.605147 | + | 0.439665i | ||||
\(413\) | −1.07402e16 | − | 7.80318e15i | −0.106496 | − | 0.0773742i | ||||
\(414\) | −2.65798e16 | + | 8.18043e16i | −0.259448 | + | 0.798498i | ||||
\(415\) | −3.53487e16 | − | 1.08792e17i | −0.339673 | − | 1.04541i | ||||
\(416\) | 2.20666e16 | − | 1.60323e16i | 0.208751 | − | 0.151667i | ||||
\(417\) | 6.24042e16 | 0.581205 | ||||||||
\(418\) | −5.95864e16 | + | 4.13700e16i | −0.546388 | + | 0.379349i | ||||
\(419\) | 1.24155e17 | 1.12091 | 0.560456 | − | 0.828184i | \(-0.310626\pi\) | ||||
0.560456 | + | 0.828184i | \(0.310626\pi\) | |||||||
\(420\) | −1.71384e17 | + | 1.24518e17i | −1.52352 | + | 1.10690i | ||||
\(421\) | −1.55342e16 | − | 4.78093e16i | −0.135974 | − | 0.418484i | 0.859767 | − | 0.510687i | \(-0.170609\pi\) |
−0.995740 | + | 0.0922035i | \(0.970609\pi\) | |||||||
\(422\) | 2.18771e14 | − | 6.73307e14i | 0.00188564 | − | 0.00580339i | ||||
\(423\) | −2.70774e17 | − | 1.96729e17i | −2.29823 | − | 1.66977i | ||||
\(424\) | 3.67424e16 | + | 2.66949e16i | 0.307107 | + | 0.223126i | ||||
\(425\) | 2.37671e16 | − | 7.31478e16i | 0.195636 | − | 0.602106i | ||||
\(426\) | 4.26717e16 | + | 1.31330e17i | 0.345922 | + | 1.06464i | ||||
\(427\) | −2.23293e17 | + | 1.62232e17i | −1.78277 | + | 1.29526i | ||||
\(428\) | −4.48447e16 | −0.352636 | ||||||||
\(429\) | 2.68001e17 | − | 1.86069e17i | 2.07570 | − | 1.44113i | ||||
\(430\) | −1.02940e17 | −0.785306 | ||||||||
\(431\) | −4.52755e16 | + | 3.28946e16i | −0.340221 | + | 0.247185i | −0.744755 | − | 0.667338i | \(-0.767434\pi\) |
0.404534 | + | 0.914523i | \(0.367434\pi\) | |||||||
\(432\) | −1.80145e16 | − | 5.54430e16i | −0.133345 | − | 0.410395i | ||||
\(433\) | −5.58582e16 | + | 1.71914e17i | −0.407301 | + | 1.25354i | 0.511657 | + | 0.859190i | \(0.329032\pi\) |
−0.918958 | + | 0.394355i | \(0.870968\pi\) | |||||||
\(434\) | −3.83432e16 | − | 2.78579e16i | −0.275426 | − | 0.200109i | ||||
\(435\) | −2.40667e17 | − | 1.74855e17i | −1.70308 | − | 1.23736i | ||||
\(436\) | 1.45812e16 | − | 4.48764e16i | 0.101656 | − | 0.312864i | ||||
\(437\) | 2.51625e16 | + | 7.74422e16i | 0.172832 | + | 0.531923i | ||||
\(438\) | 8.64657e16 | − | 6.28210e16i | 0.585143 | − | 0.425131i | ||||
\(439\) | 4.02431e16 | 0.268332 | 0.134166 | − | 0.990959i | \(-0.457165\pi\) | ||||
0.134166 | + | 0.990959i | \(0.457165\pi\) | |||||||
\(440\) | 5.54264e16 | + | 4.21141e16i | 0.364145 | + | 0.276685i | ||||
\(441\) | 5.64138e17 | 3.65203 | ||||||||
\(442\) | 1.23091e17 | − | 8.94308e16i | 0.785202 | − | 0.570482i | ||||
\(443\) | 7.91496e16 | + | 2.43598e17i | 0.497536 | + | 1.53126i | 0.812966 | + | 0.582310i | \(0.197851\pi\) |
−0.315430 | + | 0.948949i | \(0.602149\pi\) | |||||||
\(444\) | −2.90066e16 | + | 8.92732e16i | −0.179683 | + | 0.553009i | ||||
\(445\) | 1.44290e17 | + | 1.04833e17i | 0.880841 | + | 0.639968i | ||||
\(446\) | −9.94659e16 | − | 7.22662e16i | −0.598409 | − | 0.434769i | ||||
\(447\) | −1.42042e17 | + | 4.37160e17i | −0.842205 | + | 2.59204i | ||||
\(448\) | −1.11172e16 | − | 3.42152e16i | −0.0649663 | − | 0.199946i | ||||
\(449\) | −5.82894e15 | + | 4.23498e15i | −0.0335729 | + | 0.0243921i | −0.604445 | − | 0.796647i | \(-0.706605\pi\) |
0.570872 | + | 0.821039i | \(0.306605\pi\) | |||||||
\(450\) | 1.67466e17 | 0.950704 | ||||||||
\(451\) | −1.24049e15 | − | 2.65981e13i | −0.00694137 | − | 0.000148834i | ||||
\(452\) | 4.98281e16 | 0.274836 | ||||||||
\(453\) | −2.16057e17 | + | 1.56974e17i | −1.17471 | + | 0.853474i | ||||
\(454\) | −1.03865e16 | − | 3.19664e16i | −0.0556682 | − | 0.171329i | ||||
\(455\) | 1.85729e17 | − | 5.71614e17i | 0.981307 | − | 3.02015i | ||||
\(456\) | −8.94283e16 | − | 6.49735e16i | −0.465804 | − | 0.338427i | ||||
\(457\) | −7.88889e15 | − | 5.73161e15i | −0.0405098 | − | 0.0294321i | 0.567346 | − | 0.823479i | \(-0.307970\pi\) |
−0.607856 | + | 0.794047i | \(0.707970\pi\) | |||||||
\(458\) | 4.04866e16 | − | 1.24605e17i | 0.204968 | − | 0.630826i | ||||
\(459\) | −1.00488e17 | − | 3.09269e17i | −0.501568 | − | 1.54367i | ||||
\(460\) | 6.32165e16 | − | 4.59295e16i | 0.311103 | − | 0.226030i | ||||
\(461\) | 3.05338e17 | 1.48158 | 0.740789 | − | 0.671737i | \(-0.234452\pi\) | ||||
0.740789 | + | 0.671737i | \(0.234452\pi\) | |||||||
\(462\) | −1.24175e17 | − | 4.12023e17i | −0.594101 | − | 1.97128i | ||||
\(463\) | −4.03624e17 | −1.90415 | −0.952074 | − | 0.305866i | \(-0.901054\pi\) | ||||
−0.952074 | + | 0.305866i | \(0.901054\pi\) | |||||||
\(464\) | 4.08711e16 | − | 2.96946e16i | 0.190130 | − | 0.138137i | ||||
\(465\) | 4.31836e16 | + | 1.32905e17i | 0.198096 | + | 0.609676i | ||||
\(466\) | 2.64791e16 | − | 8.14942e16i | 0.119783 | − | 0.368653i | ||||
\(467\) | 1.74664e17 | + | 1.26901e17i | 0.779192 | + | 0.566116i | 0.904737 | − | 0.425972i | \(-0.140068\pi\) |
−0.125544 | + | 0.992088i | \(0.540068\pi\) | |||||||
\(468\) | 2.68014e17 | + | 1.94724e17i | 1.17913 | + | 0.856685i | ||||
\(469\) | −1.76210e17 | + | 5.42317e17i | −0.764550 | + | 2.35304i | ||||
\(470\) | 9.39582e16 | + | 2.89174e17i | 0.402067 | + | 1.23744i | ||||
\(471\) | 4.99711e17 | − | 3.63061e17i | 2.10903 | − | 1.53230i | ||||
\(472\) | −6.64752e15 | −0.0276718 | ||||||||
\(473\) | 6.88663e16 | − | 1.97443e17i | 0.282755 | − | 0.810670i | ||||
\(474\) | 4.35046e17 | 1.76188 | ||||||||
\(475\) | 1.28258e17 | − | 9.31853e16i | 0.512363 | − | 0.372253i | ||||
\(476\) | −6.20133e16 | − | 1.90857e17i | −0.244365 | − | 0.752079i | ||||
\(477\) | −1.70457e17 | + | 5.24613e17i | −0.662591 | + | 2.03924i | ||||
\(478\) | −1.32988e17 | − | 9.66211e16i | −0.509952 | − | 0.370502i | ||||
\(479\) | 8.92142e16 | + | 6.48179e16i | 0.337484 | + | 0.245197i | 0.743600 | − | 0.668625i | \(-0.233117\pi\) |
−0.406115 | + | 0.913822i | \(0.633117\pi\) | |||||||
\(480\) | −3.27794e16 | + | 1.00885e17i | −0.122330 | + | 0.376493i | ||||
\(481\) | −8.22966e16 | − | 2.53283e17i | −0.302997 | − | 0.932530i | ||||
\(482\) | −2.09043e17 | + | 1.51879e17i | −0.759329 | + | 0.551685i | ||||
\(483\) | −4.83053e17 | −1.73117 | ||||||||
\(484\) | −1.17857e17 | + | 7.81358e16i | −0.416734 | + | 0.276284i | ||||
\(485\) | −3.00451e16 | −0.104822 | ||||||||
\(486\) | −1.70384e15 | + | 1.23791e15i | −0.00586534 | + | 0.00426142i | ||||
\(487\) | 8.32593e16 | + | 2.56246e17i | 0.282810 | + | 0.870399i | 0.987047 | + | 0.160434i | \(0.0512894\pi\) |
−0.704237 | + | 0.709965i | \(0.748711\pi\) | |||||||
\(488\) | −4.27078e16 | + | 1.31441e17i | −0.143146 | + | 0.440558i | ||||
\(489\) | −1.96455e17 | − | 1.42733e17i | −0.649764 | − | 0.472081i | ||||
\(490\) | −4.14616e17 | − | 3.01236e17i | −1.35323 | − | 0.983180i | ||||
\(491\) | 1.58374e17 | − | 4.87424e17i | 0.510097 | − | 1.56992i | −0.281932 | − | 0.959435i | \(-0.590975\pi\) |
0.792029 | − | 0.610484i | \(-0.209025\pi\) | |||||||
\(492\) | −5.84274e14 | − | 1.79821e15i | −0.00185713 | − | 0.00571567i | ||||
\(493\) | 2.27985e17 | − | 1.65641e17i | 0.715157 | − | 0.519592i | ||||
\(494\) | 3.13619e17 | 0.970905 | ||||||||
\(495\) | −2.78442e17 | + | 7.98307e17i | −0.850749 | + | 2.43914i | ||||
\(496\) | −2.37322e16 | −0.0715660 | ||||||||
\(497\) | −4.18056e17 | + | 3.03735e17i | −1.24428 | + | 0.904022i | ||||
\(498\) | 1.09421e17 | + | 3.36765e17i | 0.321449 | + | 0.989318i | ||||
\(499\) | −8.36423e15 | + | 2.57425e16i | −0.0242534 | + | 0.0746443i | −0.962451 | − | 0.271457i | \(-0.912495\pi\) |
0.938197 | + | 0.346101i | \(0.112495\pi\) | |||||||
\(500\) | 5.97354e16 | + | 4.34003e16i | 0.170973 | + | 0.124219i | ||||
\(501\) | 3.61326e16 | + | 2.62519e16i | 0.102083 | + | 0.0741677i | ||||
\(502\) | 1.12781e17 | − | 3.47105e17i | 0.314530 | − | 0.968024i | ||||
\(503\) | −8.38230e16 | − | 2.57981e17i | −0.230766 | − | 0.710223i | −0.997655 | − | 0.0684441i | \(-0.978197\pi\) |
0.766889 | − | 0.641779i | \(-0.221803\pi\) | |||||||
\(504\) | 3.53502e17 | − | 2.56834e17i | 0.960713 | − | 0.697999i | ||||
\(505\) | −2.72026e16 | −0.0729821 | ||||||||
\(506\) | 4.58030e16 | + | 1.51978e17i | 0.121315 | + | 0.402535i | ||||
\(507\) | −7.48498e17 | −1.95722 | ||||||||
\(508\) | −1.79576e16 | + | 1.30470e16i | −0.0463591 | + | 0.0336818i | ||||
\(509\) | −1.45684e17 | − | 4.48370e17i | −0.371319 | − | 1.14280i | −0.945929 | − | 0.324375i | \(-0.894846\pi\) |
0.574610 | − | 0.818428i | \(-0.305154\pi\) | |||||||
\(510\) | −1.82848e17 | + | 5.62750e17i | −0.460135 | + | 1.41615i | ||||
\(511\) | 3.23566e17 | + | 2.35084e17i | 0.803946 | + | 0.584101i | ||||
\(512\) | −1.45740e16 | − | 1.05886e16i | −0.0357538 | − | 0.0259767i | ||||
\(513\) | 2.07132e17 | − | 6.37486e17i | 0.501746 | − | 1.54421i | ||||
\(514\) | −8.56281e16 | − | 2.63536e17i | −0.204812 | − | 0.630348i | ||||
\(515\) | 6.62854e17 | − | 4.81592e17i | 1.56557 | − | 1.13745i | ||||
\(516\) | 3.18649e17 | 0.743172 | ||||||||
\(517\) | −6.17504e17 | − | 1.32403e16i | −1.42217 | − | 0.0304937i | ||||
\(518\) | −3.51264e17 | −0.798896 | ||||||||
\(519\) | 1.16246e17 | − | 8.44573e16i | 0.261089 | − | 0.189692i | ||||
\(520\) | −9.30007e16 | − | 2.86227e17i | −0.206283 | − | 0.634875i | ||||
\(521\) | −1.66727e17 | + | 5.13133e17i | −0.365225 | + | 1.12405i | 0.584615 | + | 0.811311i | \(0.301246\pi\) |
−0.949840 | + | 0.312736i | \(0.898754\pi\) | |||||||
\(522\) | 4.96408e17 | + | 3.60661e17i | 1.07394 | + | 0.780263i | ||||
\(523\) | −3.05305e17 | − | 2.21817e17i | −0.652337 | − | 0.473951i | 0.211729 | − | 0.977328i | \(-0.432091\pi\) |
−0.864067 | + | 0.503377i | \(0.832091\pi\) | |||||||
\(524\) | −2.19214e16 | + | 6.74670e16i | −0.0462609 | + | 0.142376i | ||||
\(525\) | 2.90626e17 | + | 8.94454e17i | 0.605757 | + | 1.86433i | ||||
\(526\) | −4.86957e17 | + | 3.53795e17i | −1.00250 | + | 0.728357i | ||||
\(527\) | −1.32381e17 | −0.269190 | ||||||||
\(528\) | −1.71572e17 | − | 1.30364e17i | −0.344608 | − | 0.261840i | ||||
\(529\) | −3.25858e17 | −0.646496 | ||||||||
\(530\) | 4.05409e17 | − | 2.94547e17i | 0.794511 | − | 0.577246i | ||||
\(531\) | −2.49496e16 | − | 7.67871e16i | −0.0483003 | − | 0.148653i | ||||
\(532\) | 1.27826e17 | − | 3.93408e17i | 0.244452 | − | 0.752345i | ||||
\(533\) | 4.33986e15 | + | 3.15310e15i | 0.00819878 | + | 0.00595676i | ||||
\(534\) | −4.46649e17 | − | 3.24509e17i | −0.833582 | − | 0.605632i | ||||
\(535\) | −1.52904e17 | + | 4.70590e17i | −0.281916 | + | 0.867647i | ||||
\(536\) | 8.82341e16 | + | 2.71557e17i | 0.160718 | + | 0.494640i | ||||
\(537\) | 8.02497e17 | − | 5.83048e17i | 1.44414 | − | 1.04923i | ||||
\(538\) | 5.69055e15 | 0.0101174 | ||||||||
\(539\) | 8.55160e17 | − | 5.93725e17i | 1.50217 | − | 1.04294i | ||||
\(540\) | −6.43229e17 | −1.11636 | ||||||||
\(541\) | 5.23264e17 | − | 3.80174e17i | 0.897303 | − | 0.651929i | −0.0404691 | − | 0.999181i | \(-0.512885\pi\) |
0.937772 | + | 0.347252i | \(0.112885\pi\) | |||||||
\(542\) | −5.08192e15 | − | 1.56406e16i | −0.00861059 | − | 0.0265007i | ||||
\(543\) | −1.33720e17 | + | 4.11546e17i | −0.223870 | + | 0.689001i | ||||
\(544\) | −8.12957e16 | − | 5.90647e16i | −0.134485 | − | 0.0977092i | ||||
\(545\) | −4.21206e17 | − | 3.06024e17i | −0.688521 | − | 0.500240i | ||||
\(546\) | −5.74920e17 | + | 1.76942e18i | −0.928657 | + | 2.85811i | ||||
\(547\) | −3.28011e16 | − | 1.00951e17i | −0.0523565 | − | 0.161137i | 0.921459 | − | 0.388475i | \(-0.126998\pi\) |
−0.973816 | + | 0.227338i | \(0.926998\pi\) | |||||||
\(548\) | −7.85139e16 | + | 5.70437e16i | −0.123843 | + | 0.0899775i | ||||
\(549\) | −1.67860e18 | −2.61654 | ||||||||
\(550\) | 2.53857e17 | − | 1.76249e17i | 0.391049 | − | 0.271499i | ||||
\(551\) | 5.80875e17 | 0.884295 | ||||||||
\(552\) | −1.95686e17 | + | 1.42174e17i | −0.294412 | + | 0.213903i | ||||
\(553\) | 5.03079e17 | + | 1.54832e18i | 0.748036 | + | 2.30222i | ||||
\(554\) | 2.80514e17 | − | 8.63335e17i | 0.412232 | − | 1.26872i | ||||
\(555\) | 8.37911e17 | + | 6.08778e17i | 1.21701 | + | 0.884208i | ||||
\(556\) | 9.46014e16 | + | 6.87319e16i | 0.135804 | + | 0.0986671i | ||||
\(557\) | 1.23366e17 | − | 3.79680e17i | 0.175039 | − | 0.538715i | −0.824596 | − | 0.565722i | \(-0.808598\pi\) |
0.999635 | + | 0.0270068i | \(0.00859759\pi\) | |||||||
\(558\) | −8.90721e16 | − | 2.74136e17i | −0.124916 | − | 0.384453i | ||||
\(559\) | −7.31400e17 | + | 5.31393e17i | −1.01386 | + | 0.736613i | ||||
\(560\) | −3.96952e17 | −0.543896 | ||||||||
\(561\) | −9.57051e17 | − | 7.27188e17i | −1.29621 | − | 0.984890i | ||||
\(562\) | 5.61380e17 | 0.751572 | ||||||||
\(563\) | 3.31036e17 | − | 2.40511e17i | 0.438097 | − | 0.318296i | −0.346781 | − | 0.937946i | \(-0.612725\pi\) |
0.784878 | + | 0.619650i | \(0.212725\pi\) | |||||||
\(564\) | −2.90846e17 | − | 8.95133e17i | −0.380495 | − | 1.17104i | ||||
\(565\) | 1.69895e17 | − | 5.22884e17i | 0.219718 | − | 0.676224i | ||||
\(566\) | −1.12783e17 | − | 8.19416e16i | −0.144191 | − | 0.104761i | ||||
\(567\) | 1.06700e18 | + | 7.75223e17i | 1.34858 | + | 0.979799i | ||||
\(568\) | −7.99588e16 | + | 2.46088e17i | −0.0999084 | + | 0.307486i | ||||
\(569\) | 9.63687e16 | + | 2.96592e17i | 0.119044 | + | 0.366379i | 0.992769 | − | 0.120041i | \(-0.0383026\pi\) |
−0.873725 | + | 0.486420i | \(0.838303\pi\) | |||||||
\(570\) | −9.86735e17 | + | 7.16905e17i | −1.20507 | + | 0.875538i | ||||
\(571\) | 7.97835e17 | 0.963337 | 0.481668 | − | 0.876354i | \(-0.340031\pi\) | ||||
0.481668 | + | 0.876354i | \(0.340031\pi\) | |||||||
\(572\) | 6.11211e17 | + | 1.31054e16i | 0.729654 | + | 0.0156450i | ||||
\(573\) | 7.57808e17 | 0.894446 | ||||||||
\(574\) | 5.72414e15 | − | 4.15883e15i | 0.00668010 | − | 0.00485338i | ||||
\(575\) | −1.07200e17 | − | 3.29928e17i | −0.123696 | − | 0.380696i | ||||
\(576\) | 6.76120e16 | − | 2.08088e17i | 0.0771397 | − | 0.237412i | ||||
\(577\) | 2.78384e17 | + | 2.02258e17i | 0.314052 | + | 0.228172i | 0.733633 | − | 0.679546i | \(-0.237823\pi\) |
−0.419581 | + | 0.907718i | \(0.637823\pi\) | |||||||
\(578\) | 5.93512e16 | + | 4.31211e16i | 0.0662061 | + | 0.0481016i | ||||
\(579\) | 6.78724e17 | − | 2.08890e18i | 0.748656 | − | 2.30413i | ||||
\(580\) | −1.72253e17 | − | 5.30140e17i | −0.187882 | − | 0.578240i | ||||
\(581\) | −1.07200e18 | + | 7.78857e17i | −1.15625 | + | 0.840065i | ||||
\(582\) | 9.30043e16 | 0.0991982 | ||||||||
\(583\) | 2.93736e17 | + | 9.74641e17i | 0.309821 | + | 1.02801i | ||||
\(584\) | 2.00268e17 | 0.208895 | ||||||||
\(585\) | 2.95722e18 | − | 2.14854e18i | 3.05049 | − | 2.21631i | ||||
\(586\) | 2.61259e17 | + | 8.04072e17i | 0.266524 | + | 0.820277i | ||||
\(587\) | 3.01875e17 | − | 9.29074e17i | 0.304564 | − | 0.937352i | −0.675275 | − | 0.737566i | \(-0.735975\pi\) |
0.979839 | − | 0.199786i | \(-0.0640248\pi\) | |||||||
\(588\) | 1.28344e18 | + | 9.32473e17i | 1.28063 | + | 0.930430i | ||||
\(589\) | −2.20759e17 | − | 1.60391e17i | −0.217856 | − | 0.158282i | ||||
\(590\) | −2.26656e16 | + | 6.97576e16i | −0.0221223 | + | 0.0680853i | ||||
\(591\) | −2.91249e17 | − | 8.96371e17i | −0.281155 | − | 0.865305i | ||||
\(592\) | −1.42298e17 | + | 1.03385e17i | −0.135865 | + | 0.0987117i | ||||
\(593\) | 9.06532e17 | 0.856106 | 0.428053 | − | 0.903754i | \(-0.359200\pi\) | ||||
0.428053 | + | 0.903754i | \(0.359200\pi\) | |||||||
\(594\) | 4.30317e17 | − | 1.23374e18i | 0.401955 | − | 1.15242i | ||||
\(595\) | −2.21426e18 | −2.04582 | ||||||||
\(596\) | −6.96816e17 | + | 5.06266e17i | −0.636821 | + | 0.462677i | ||||
\(597\) | −6.20686e17 | − | 1.91027e18i | −0.561098 | − | 1.72688i | ||||
\(598\) | 2.12065e17 | − | 6.52669e17i | 0.189632 | − | 0.583627i | ||||
\(599\) | −6.23256e17 | − | 4.52822e17i | −0.551305 | − | 0.400547i | 0.276961 | − | 0.960881i | \(-0.410673\pi\) |
−0.828266 | + | 0.560335i | \(0.810673\pi\) | |||||||
\(600\) | 3.80993e17 | + | 2.76807e17i | 0.333375 | + | 0.242211i | ||||
\(601\) | 8.22901e16 | − | 2.53263e17i | 0.0712301 | − | 0.219224i | −0.909104 | − | 0.416570i | \(-0.863232\pi\) |
0.980334 | + | 0.197346i | \(0.0632322\pi\) | |||||||
\(602\) | 3.68480e17 | + | 1.13406e18i | 0.315527 | + | 0.971092i | ||||
\(603\) | −2.80565e18 | + | 2.03843e18i | −2.37668 | + | 1.72676i | ||||
\(604\) | −5.00421e17 | −0.419368 | ||||||||
\(605\) | 4.18092e17 | + | 1.50317e18i | 0.346627 | + | 1.24623i | ||||
\(606\) | 8.42052e16 | 0.0690664 | ||||||||
\(607\) | −5.78280e17 | + | 4.20145e17i | −0.469258 | + | 0.340936i | −0.797152 | − | 0.603778i | \(-0.793661\pi\) |
0.327894 | + | 0.944715i | \(0.393661\pi\) | |||||||
\(608\) | −6.40068e16 | − | 1.96993e17i | −0.0513869 | − | 0.158153i | ||||
\(609\) | −1.06485e18 | + | 3.27727e18i | −0.845816 | + | 2.60315i | ||||
\(610\) | 1.23370e18 | + | 8.96333e17i | 0.969537 | + | 0.704410i | ||||
\(611\) | 2.16035e18 | + | 1.56958e18i | 1.67979 | + | 1.22044i | ||||
\(612\) | 3.77150e17 | − | 1.16075e18i | 0.290155 | − | 0.893005i | ||||
\(613\) | −9.68184e16 | − | 2.97977e17i | −0.0736996 | − | 0.226824i | 0.907420 | − | 0.420224i | \(-0.138048\pi\) |
−0.981120 | + | 0.193400i | \(0.938048\pi\) | |||||||
\(614\) | −1.10007e18 | + | 7.99250e17i | −0.828566 | + | 0.601989i | ||||
\(615\) | −2.08621e16 | −0.0155479 | ||||||||
\(616\) | 2.65559e17 | − | 7.61370e17i | 0.195833 | − | 0.561463i | ||||
\(617\) | 4.82479e17 | 0.352067 | 0.176033 | − | 0.984384i | \(-0.443673\pi\) | ||||
0.176033 | + | 0.984384i | \(0.443673\pi\) | |||||||
\(618\) | −2.05186e18 | + | 1.49076e18i | −1.48157 | + | 1.07642i | ||||
\(619\) | 8.23591e17 | + | 2.53475e18i | 0.588467 | + | 1.81112i | 0.584876 | + | 0.811123i | \(0.301143\pi\) |
0.00359195 | + | 0.999994i | \(0.498857\pi\) | |||||||
\(620\) | −8.09180e16 | + | 2.49040e17i | −0.0572136 | + | 0.176085i | ||||
\(621\) | −1.18660e18 | − | 8.62119e17i | −0.830253 | − | 0.603214i | ||||
\(622\) | 9.92141e17 | + | 7.20833e17i | 0.686967 | + | 0.499111i | ||||
\(623\) | 6.38425e17 | − | 1.96487e18i | 0.437459 | − | 1.34636i | ||||
\(624\) | 2.87882e17 | + | 8.86010e17i | 0.195216 | + | 0.600813i | ||||
\(625\) | 1.47073e18 | − | 1.06855e18i | 0.986989 | − | 0.717089i | ||||
\(626\) | −1.25467e18 | −0.833292 | ||||||||
\(627\) | −7.14930e17 | − | 2.37220e18i | −0.469921 | − | 1.55924i | ||||
\(628\) | 1.15741e18 | 0.752921 | ||||||||
\(629\) | −7.93759e17 | + | 5.76699e17i | −0.511045 | + | 0.371296i | ||||
\(630\) | −1.48985e18 | − | 4.58528e18i | −0.949355 | − | 2.92181i | ||||
\(631\) | −1.30039e17 | + | 4.00220e17i | −0.0820132 | + | 0.252411i | −0.983652 | − | 0.180079i | \(-0.942365\pi\) |
0.901639 | + | 0.432490i | \(0.142365\pi\) | |||||||
\(632\) | 6.59505e17 | + | 4.79159e17i | 0.411678 | + | 0.299101i | ||||
\(633\) | 1.95622e16 | + | 1.42128e16i | 0.0120863 | + | 0.00878123i | ||||
\(634\) | 5.21323e17 | − | 1.60447e18i | 0.318806 | − | 0.981185i | ||||
\(635\) | 7.56831e16 | + | 2.32929e17i | 0.0458110 | + | 0.140992i | ||||
\(636\) | −1.25494e18 | + | 9.11765e17i | −0.751884 | + | 0.546276i | ||||
\(637\) | −4.50093e18 | −2.66929 | ||||||||
\(638\) | 1.13207e18 | + | 2.42734e16i | 0.664565 | + | 0.0142494i | ||||
\(639\) | −3.14272e18 | −1.82621 | ||||||||
\(640\) | −1.60806e17 | + | 1.16832e17i | −0.0924981 | + | 0.0672038i | ||||
\(641\) | 7.68857e16 | + | 2.36630e17i | 0.0437793 | + | 0.134739i | 0.970557 | − | 0.240871i | \(-0.0774332\pi\) |
−0.926778 | + | 0.375610i | \(0.877433\pi\) | |||||||
\(642\) | 4.73312e17 | − | 1.45670e18i | 0.266790 | − | 0.821096i | ||||
\(643\) | 1.85677e18 | + | 1.34902e18i | 1.03607 | + | 0.752746i | 0.969514 | − | 0.245037i | \(-0.0788001\pi\) |
0.0665522 | + | 0.997783i | \(0.478800\pi\) | |||||||
\(644\) | −7.32282e17 | − | 5.32034e17i | −0.404502 | − | 0.293888i | ||||
\(645\) | 1.08648e18 | − | 3.34383e18i | 0.594131 | − | 1.82855i | ||||
\(646\) | −3.57039e17 | − | 1.09885e18i | −0.193288 | − | 0.594879i | ||||
\(647\) | −2.72000e18 | + | 1.97620e18i | −1.45778 | + | 1.05914i | −0.473845 | + | 0.880609i | \(0.657134\pi\) |
−0.983934 | + | 0.178530i | \(0.942866\pi\) | |||||||
\(648\) | 6.60412e17 | 0.350411 | ||||||||
\(649\) | −1.18635e17 | − | 9.01411e16i | −0.0623191 | − | 0.0473513i | ||||
\(650\) | −1.33611e18 | −0.694875 | ||||||||
\(651\) | 1.30961e18 | − | 9.51487e17i | 0.674319 | − | 0.489922i | ||||
\(652\) | −1.40609e17 | − | 4.32751e17i | −0.0716810 | − | 0.220612i | ||||
\(653\) | −2.13390e17 | + | 6.56746e17i | −0.107705 | + | 0.331483i | −0.990356 | − | 0.138547i | \(-0.955757\pi\) |
0.882650 | + | 0.470030i | \(0.155757\pi\) | |||||||
\(654\) | 1.30384e18 | + | 9.47293e17i | 0.651580 | + | 0.473401i | ||||
\(655\) | 6.33239e17 | + | 4.60075e17i | 0.313328 | + | 0.227646i | ||||
\(656\) | 1.09482e15 | − | 3.36950e15i | 0.000536373 | − | 0.00165079i | ||||
\(657\) | 7.51651e17 | + | 2.31334e18i | 0.364621 | + | 1.12219i | ||||
\(658\) | 2.84943e18 | − | 2.07023e18i | 1.36864 | − | 0.994376i | ||||
\(659\) | −3.55284e18 | −1.68974 | −0.844871 | − | 0.534970i | \(-0.820323\pi\) | ||||
−0.844871 | + | 0.534970i | \(0.820323\pi\) | |||||||
\(660\) | −1.95300e18 | + | 1.35594e18i | −0.919745 | + | 0.638565i | ||||
\(661\) | 6.25466e17 | 0.291672 | 0.145836 | − | 0.989309i | \(-0.453413\pi\) | ||||
0.145836 | + | 0.989309i | \(0.453413\pi\) | |||||||
\(662\) | 1.85897e18 | − | 1.35062e18i | 0.858413 | − | 0.623673i | ||||
\(663\) | 1.60585e18 | + | 4.94230e18i | 0.734289 | + | 2.25991i | ||||
\(664\) | −2.05035e17 | + | 6.31034e17i | −0.0928402 | + | 0.285733i | ||||
\(665\) | −3.69249e18 | − | 2.68275e18i | −1.65569 | − | 1.20293i | ||||
\(666\) | −1.72831e18 | − | 1.25569e18i | −0.767429 | − | 0.557569i | ||||
\(667\) | 3.92780e17 | − | 1.20885e18i | 0.172716 | − | 0.531564i | ||||
\(668\) | 2.58613e16 | + | 7.95928e16i | 0.0112617 | + | 0.0346599i | ||||
\(669\) | 3.39726e18 | − | 2.46825e18i | 1.46507 | − | 1.06444i | ||||
\(670\) | 3.15050e18 | 1.34553 | ||||||||
\(671\) | −2.54454e18 | + | 1.76664e18i | −1.07625 | + | 0.747223i | ||||
\(672\) | 1.22876e18 | 0.514715 | ||||||||
\(673\) | 9.43126e17 | − | 6.85221e17i | 0.391266 | − | 0.284271i | −0.374708 | − | 0.927143i | \(-0.622257\pi\) |
0.765974 | + | 0.642872i | \(0.222257\pi\) | |||||||
\(674\) | −2.43401e17 | − | 7.49110e17i | −0.100007 | − | 0.307791i | ||||
\(675\) | −8.82445e17 | + | 2.71589e18i | −0.359098 | + | 1.10519i | ||||
\(676\) | −1.13468e18 | − | 8.24395e17i | −0.457321 | − | 0.332263i | ||||
\(677\) | −6.26813e17 | − | 4.55407e17i | −0.250214 | − | 0.181791i | 0.455608 | − | 0.890181i | \(-0.349422\pi\) |
−0.705822 | + | 0.708390i | \(0.749422\pi\) | |||||||
\(678\) | −5.25909e17 | + | 1.61858e18i | −0.207930 | + | 0.639943i | ||||
\(679\) | 1.07548e17 | + | 3.31000e17i | 0.0421164 | + | 0.129621i | ||||
\(680\) | −8.97000e17 | + | 6.51709e17i | −0.347924 | + | 0.252782i | ||||
\(681\) | 1.14800e18 | 0.441048 | ||||||||
\(682\) | −4.23535e17 | − | 3.21810e17i | −0.161172 | − | 0.122462i | ||||
\(683\) | 7.07433e17 | 0.266655 | 0.133328 | − | 0.991072i | \(-0.457434\pi\) | ||||
0.133328 | + | 0.991072i | \(0.457434\pi\) | |||||||
\(684\) | 2.03527e18 | − | 1.47871e18i | 0.759903 | − | 0.552102i | ||||
\(685\) | 3.30900e17 | + | 1.01841e18i | 0.122379 | + | 0.376645i | ||||
\(686\) | −8.31345e17 | + | 2.55862e18i | −0.304561 | + | 0.937343i | ||||
\(687\) | 3.62027e18 | + | 2.63028e18i | 1.31378 | + | 0.954515i | ||||
\(688\) | 4.83055e17 | + | 3.50960e17i | 0.173649 | + | 0.126163i | ||||
\(689\) | 1.35998e18 | − | 4.18558e18i | 0.484291 | − | 1.49049i | ||||
\(690\) | 8.24726e17 | + | 2.53824e18i | 0.290931 | + | 0.895394i | ||||
\(691\) | 3.58803e18 | − | 2.60685e18i | 1.25386 | − | 0.910981i | 0.255419 | − | 0.966831i | \(-0.417787\pi\) |
0.998439 | + | 0.0558496i | \(0.0177867\pi\) | |||||||
\(692\) | 2.69243e17 | 0.0932084 | ||||||||
\(693\) | 9.79146e18 | + | 2.09945e17i | 3.35800 | + | 0.0720012i | ||||
\(694\) | −2.86612e18 | −0.973774 | ||||||||
\(695\) | 1.04381e18 | − | 7.58374e17i | 0.351335 | − | 0.255260i | ||||
\(696\) | 5.33206e17 | + | 1.64104e18i | 0.177801 | + | 0.547217i | ||||
\(697\) | 6.10706e15 | − | 1.87956e16i | 0.00201753 | − | 0.00620930i | ||||
\(698\) | 2.70423e18 | + | 1.96474e18i | 0.885082 | + | 0.643050i | ||||
\(699\) | 2.36773e18 | + | 1.72026e18i | 0.767769 | + | 0.557817i | ||||
\(700\) | −5.44578e17 | + | 1.67604e18i | −0.174954 | + | 0.538452i | ||||
\(701\) | −5.80146e17 | − | 1.78550e18i | −0.184659 | − | 0.568321i | 0.815284 | − | 0.579062i | \(-0.196581\pi\) |
−0.999942 | + | 0.0107407i | \(0.996581\pi\) | |||||||
\(702\) | −4.57022e18 | + | 3.32046e18i | −1.44127 | + | 1.04714i | ||||
\(703\) | −2.02239e18 | −0.631910 | ||||||||
\(704\) | −1.16511e17 | − | 3.86593e17i | −0.0360698 | − | 0.119683i | ||||
\(705\) | −1.03850e19 | −3.18550 | ||||||||
\(706\) | −9.65518e17 | + | 7.01490e17i | −0.293447 | + | 0.213202i | ||||
\(707\) | 9.73734e16 | + | 2.99685e17i | 0.0293234 | + | 0.0902481i | ||||
\(708\) | 7.01611e16 | − | 2.15934e17i | 0.0209353 | − | 0.0644324i | ||||
\(709\) | −1.82523e17 | − | 1.32610e17i | −0.0539655 | − | 0.0392082i | 0.560476 | − | 0.828171i | \(-0.310618\pi\) |
−0.614441 | + | 0.788963i | \(0.710618\pi\) | |||||||
\(710\) | 2.30976e18 | + | 1.67814e18i | 0.676686 | + | 0.491641i | ||||
\(711\) | −3.05960e18 | + | 9.41649e18i | −0.888204 | + | 2.73361i | ||||
\(712\) | −3.19681e17 | − | 9.83877e17i | −0.0919596 | − | 0.283022i | ||||
\(713\) | −4.83062e17 | + | 3.50965e17i | −0.137696 | + | 0.100042i | ||||
\(714\) | 6.85420e18 | 1.93606 | ||||||||
\(715\) | 2.22153e18 | − | 6.36922e18i | 0.621817 | − | 1.78278i | ||||
\(716\) | 1.85871e18 | 0.515558 | ||||||||
\(717\) | 4.54219e18 | − | 3.30009e18i | 1.24851 | − | 0.907093i | ||||
\(718\) | −8.58530e17 | − | 2.64228e18i | −0.233855 | − | 0.719732i | ||||
\(719\) | 1.62772e18 | − | 5.00961e18i | 0.439382 | − | 1.35228i | −0.449146 | − | 0.893458i | \(-0.648272\pi\) |
0.888529 | − | 0.458821i | \(-0.151728\pi\) | |||||||
\(720\) | −1.95310e18 | − | 1.41901e18i | −0.522472 | − | 0.379598i | ||||
\(721\) | −7.67831e18 | − | 5.57862e18i | −2.03557 | − | 1.47893i | ||||
\(722\) | −9.57336e16 | + | 2.94638e17i | −0.0251520 | + | 0.0774099i | ||||
\(723\) | −2.72718e18 | − | 8.39341e18i | −0.710093 | − | 2.18544i | ||||
\(724\) | −6.55988e17 | + | 4.76603e17i | −0.169276 | + | 0.122986i | ||||
\(725\) | −2.47471e18 | −0.632888 | ||||||||
\(726\) | −1.29420e18 | − | 4.65305e18i | −0.328029 | − | 1.17937i | ||||
\(727\) | 5.88558e18 | 1.47848 | 0.739240 | − | 0.673442i | \(-0.235185\pi\) | ||||
0.739240 | + | 0.673442i | \(0.235185\pi\) | |||||||
\(728\) | −2.82039e18 | + | 2.04913e18i | −0.702191 | + | 0.510171i | ||||
\(729\) | −1.26341e18 | − | 3.88836e18i | −0.311755 | − | 0.959485i | ||||
\(730\) | 6.82841e17 | − | 2.10157e18i | 0.167002 | − | 0.513978i | ||||
\(731\) | 2.69455e18 | + | 1.95770e18i | 0.653165 | + | 0.474552i | ||||
\(732\) | −3.81889e18 | − | 2.77458e18i | −0.917519 | − | 0.666616i | ||||
\(733\) | −1.97947e18 | + | 6.09219e18i | −0.471383 | + | 1.45077i | 0.379391 | + | 0.925236i | \(0.376133\pi\) |
−0.850774 | + | 0.525531i | \(0.823867\pi\) | |||||||
\(734\) | 9.25679e17 | + | 2.84895e18i | 0.218492 | + | 0.672450i | ||||
\(735\) | 1.41612e19 | − | 1.02887e19i | 3.31309 | − | 2.40710i | ||||
\(736\) | −4.53240e17 | −0.105105 | ||||||||
\(737\) | −2.10767e18 | + | 6.04278e18i | −0.484467 | + | 1.38899i | ||||
\(738\) | 4.30310e16 | 0.00980427 | ||||||||
\(739\) | −8.30416e17 | + | 6.03332e17i | −0.187545 | + | 0.136260i | −0.677596 | − | 0.735434i | \(-0.736978\pi\) |
0.490051 | + | 0.871694i | \(0.336978\pi\) | |||||||
\(740\) | 5.99720e17 | + | 1.84575e18i | 0.134259 | + | 0.413206i | ||||
\(741\) | −3.31008e18 | + | 1.01874e19i | −0.734548 | + | 2.26071i | ||||
\(742\) | −4.69614e18 | − | 3.41194e18i | −1.03304 | − | 0.750545i | ||||
\(743\) | −8.65347e15 | − | 6.28712e15i | −0.00188696 | − | 0.00137096i | 0.586841 | − | 0.809702i | \(-0.300371\pi\) |
−0.588728 | + | 0.808331i | \(0.700371\pi\) | |||||||
\(744\) | 2.50480e17 | − | 7.70899e17i | 0.0541439 | − | 0.166638i | ||||
\(745\) | 2.93676e18 | + | 9.03840e18i | 0.629292 | + | 1.93676i | ||||
\(746\) | 6.88099e17 | − | 4.99933e17i | 0.146167 | − | 0.106196i | ||||
\(747\) | −8.05876e18 | −1.69701 | ||||||||
\(748\) | −6.49914e17 | − | 2.15647e18i | −0.135674 | − | 0.450177i | ||||
\(749\) | 5.73171e18 | 1.18618 | ||||||||
\(750\) | −2.04026e18 | + | 1.48234e18i | −0.418588 | + | 0.304122i | ||||
\(751\) | −2.26421e18 | − | 6.96852e18i | −0.460529 | − | 1.41736i | −0.864519 | − | 0.502600i | \(-0.832377\pi\) |
0.403990 | − | 0.914763i | \(-0.367623\pi\) | |||||||
\(752\) | 5.44991e17 | − | 1.67731e18i | 0.109894 | − | 0.338219i | ||||
\(753\) | 1.00848e19 | + | 7.32701e18i | 2.01604 | + | 1.46474i | ||||
\(754\) | −3.96055e18 | − | 2.87751e18i | −0.784949 | − | 0.570299i | ||||
\(755\) | −1.70625e18 | + | 5.25131e18i | −0.335265 | + | 1.03184i | ||||
\(756\) | 2.30248e18 | + | 7.08630e18i | 0.448543 | + | 1.38047i | ||||
\(757\) | −6.28414e18 | + | 4.56569e18i | −1.21373 | + | 0.881827i | −0.995564 | − | 0.0940846i | \(-0.970008\pi\) |
−0.218167 | + | 0.975912i | \(0.570008\pi\) | |||||||
\(758\) | −4.65747e18 | −0.891867 | ||||||||
\(759\) | −5.42019e18 | − | 1.16218e17i | −1.02907 | − | 0.0220649i | ||||
\(760\) | −2.28543e18 | −0.430210 | ||||||||
\(761\) | −6.21945e18 | + | 4.51869e18i | −1.16078 | + | 0.843359i | −0.989877 | − | 0.141928i | \(-0.954670\pi\) |
−0.170908 | + | 0.985287i | \(0.554670\pi\) | |||||||
\(762\) | −2.34276e17 | − | 7.21027e17i | −0.0433531 | − | 0.133427i | ||||
\(763\) | −1.86366e18 | + | 5.73576e18i | −0.341946 | + | 1.05240i | ||||
\(764\) | 1.14880e18 | + | 8.34649e17i | 0.208995 | + | 0.151844i | ||||
\(765\) | −1.08947e19 | − | 7.91545e18i | −1.96524 | − | 1.42783i | ||||
\(766\) | −1.44191e18 | + | 4.43774e18i | −0.257900 | + | 0.793733i | ||||
\(767\) | 1.99059e17 | + | 6.12639e17i | 0.0353030 | + | 0.108651i | ||||
\(768\) | 4.97773e17 | − | 3.61653e17i | 0.0875354 | − | 0.0635982i | ||||
\(769\) | 5.91055e18 | 1.03064 | 0.515319 | − | 0.856998i | \(-0.327673\pi\) | ||||
0.515319 | + | 0.856998i | \(0.327673\pi\) | |||||||
\(770\) | −7.08418e18 | − | 5.38271e18i | −1.22490 | − | 0.930703i | ||||
\(771\) | 9.46429e18 | 1.62269 | ||||||||
\(772\) | 3.32962e18 | − | 2.41911e18i | 0.566085 | − | 0.411285i | ||||
\(773\) | −1.31199e18 | − | 4.03790e18i | −0.221189 | − | 0.680751i | −0.998656 | − | 0.0518270i | \(-0.983496\pi\) |
0.777467 | − | 0.628924i | \(-0.216504\pi\) | |||||||
\(774\) | −2.24100e18 | + | 6.89710e18i | −0.374651 | + | 1.15306i | ||||
\(775\) | 9.40503e17 | + | 6.83315e17i | 0.155919 | + | 0.113282i | ||||
\(776\) | 1.40989e17 | + | 1.02435e17i | 0.0231785 | + | 0.0168402i | ||||
\(777\) | 3.70741e18 | − | 1.14102e19i | 0.604413 | − | 1.86019i | ||||
\(778\) | 2.11978e18 | + | 6.52401e18i | 0.342707 | + | 1.05474i | ||||
\(779\) | 3.29565e16 | − | 2.39443e16i | 0.00528381 | − | 0.00383892i | ||||
\(780\) | 1.02792e19 | 1.63434 | ||||||||
\(781\) | −4.76395e18 | + | 3.30754e18i | −0.751166 | + | 0.521523i | ||||
\(782\) | −2.52824e18 | −0.395343 | ||||||||
\(783\) | −8.46481e18 | + | 6.15004e18i | −1.31270 | + | 0.953733i | ||||
\(784\) | 9.18599e17 | + | 2.82716e18i | 0.141277 | + | 0.434806i | ||||
\(785\) | 3.94634e18 | − | 1.21456e19i | 0.601924 | − | 1.85253i | ||||
\(786\) | −1.96018e18 | − | 1.42416e18i | −0.296517 | − | 0.215433i | ||||
\(787\) | −1.65003e18 | − | 1.19882e18i | −0.247547 | − | 0.179853i | 0.457092 | − | 0.889419i | \(-0.348891\pi\) |
−0.704639 | + | 0.709566i | \(0.748891\pi\) | |||||||
\(788\) | 5.45745e17 | − | 1.67963e18i | 0.0812025 | − | 0.249916i | ||||
\(789\) | −6.35286e18 | − | 1.95521e19i | −0.937495 | − | 2.88531i | ||||
\(790\) | 7.27685e18 | − | 5.28694e18i | 1.06504 | − | 0.773800i | ||||
\(791\) | −6.36864e18 | −0.924485 | ||||||||
\(792\) | 4.02833e18 | − | 2.79681e18i | 0.579978 | − | 0.402670i | ||||
\(793\) | 1.33926e19 | 1.91244 | ||||||||
\(794\) | −4.33049e18 | + | 3.14629e18i | −0.613344 | + | 0.445621i | ||||
\(795\) | 5.28898e18 | + | 1.62778e19i | 0.742995 | + | 2.28670i | ||||
\(796\) | 1.16305e18 | − | 3.57949e18i | 0.162055 | − | 0.498754i | ||||
\(797\) | 1.10001e18 | + | 7.99206e17i | 0.152026 | + | 0.110453i | 0.661198 | − | 0.750211i | \(-0.270048\pi\) |
−0.509172 | + | 0.860665i | \(0.670048\pi\) | |||||||
\(798\) | 1.14300e19 | + | 8.30442e18i | 1.56686 | + | 1.13839i | ||||
\(799\) | 3.04004e18 | − | 9.35628e18i | 0.413357 | − | 1.27218i | ||||
\(800\) | 2.72689e17 | + | 8.39250e17i | 0.0367775 | + | 0.113190i | ||||
\(801\) | 1.01652e19 | − | 7.38542e18i | 1.35989 | − | 0.988016i | ||||
\(802\) | 9.67885e18 | 1.28437 | ||||||||
\(803\) | 3.57407e18 | + | 2.71566e18i | 0.470449 | + | 0.357457i | ||||
\(804\) | −9.75233e18 | −1.27334 | ||||||||
\(805\) | −8.07986e18 | + | 5.87036e18i | −1.04648 | + | 0.760311i | ||||
\(806\) | 7.10654e17 | + | 2.18717e18i | 0.0913021 | + | 0.280999i | ||||
\(807\) | −6.00607e16 | + | 1.84848e17i | −0.00765442 | + | 0.0235579i | ||||
\(808\) | 1.27651e17 | + | 9.27436e16i | 0.0161380 | + | 0.0117249i | ||||
\(809\) | 5.04294e18 | + | 3.66391e18i | 0.632439 | + | 0.459494i | 0.857244 | − | 0.514910i | \(-0.172175\pi\) |
−0.224806 | + | 0.974404i | \(0.572175\pi\) | |||||||
\(810\) | 2.25176e18 | − | 6.93022e18i | 0.280137 | − | 0.862172i | ||||
\(811\) | −9.44295e17 | − | 2.90624e18i | −0.116539 | − | 0.358671i | 0.875726 | − | 0.482809i | \(-0.160383\pi\) |
−0.992265 | + | 0.124138i | \(0.960383\pi\) | |||||||
\(812\) | −5.22384e18 | + | 3.79534e18i | −0.639551 | + | 0.464661i | ||||
\(813\) | 5.61694e17 | 0.0682199 | ||||||||
\(814\) | −3.94143e18 | − | 8.45108e16i | −0.474892 | − | 0.0101825i | ||||
\(815\) | −5.02061e18 | −0.600112 | ||||||||
\(816\) | 2.77665e18 | − | 2.01736e18i | 0.329257 | − | 0.239219i | ||||
\(817\) | 2.12151e18 | + | 6.52933e18i | 0.249575 | + | 0.768113i | ||||
\(818\) | 2.12025e18 | − | 6.52545e18i | 0.247451 | − | 0.761577i | ||||
\(819\) | −3.42555e19 | − | 2.48881e19i | −3.96630 | − | 2.88169i | ||||
\(820\) | −3.16259e16 | − | 2.29775e16i | −0.00363289 | − | 0.00263945i | ||||
\(821\) | −3.82660e18 | + | 1.17771e19i | −0.436096 | + | 1.34217i | 0.455862 | + | 0.890050i | \(0.349331\pi\) |
−0.891959 | + | 0.452117i | \(0.850669\pi\) | |||||||
\(822\) | −1.02430e18 | − | 3.15246e18i | −0.115813 | − | 0.356437i | ||||
\(823\) | −6.17703e18 | + | 4.48787e18i | −0.692916 | + | 0.503433i | −0.877617 | − | 0.479362i | \(-0.840868\pi\) |
0.184702 | + | 0.982795i | \(0.440868\pi\) | |||||||
\(824\) | −4.75242e18 | −0.528918 | ||||||||
\(825\) | 3.04583e18 | + | 1.01063e19i | 0.336321 | + | 1.11594i | ||||
\(826\) | 8.49636e17 | 0.0930813 | ||||||||
\(827\) | 1.13818e19 | − | 8.26934e18i | 1.23715 | − | 0.898845i | 0.239749 | − | 0.970835i | \(-0.422935\pi\) |
0.997405 | + | 0.0719895i | \(0.0229348\pi\) | |||||||
\(828\) | −1.70111e18 | − | 5.23548e18i | −0.183457 | − | 0.564623i | ||||
\(829\) | −7.32373e17 | + | 2.25401e18i | −0.0783661 | + | 0.241186i | −0.982563 | − | 0.185930i | \(-0.940470\pi\) |
0.904197 | + | 0.427116i | \(0.140470\pi\) | |||||||
\(830\) | 5.92283e18 | + | 4.30319e18i | 0.628813 | + | 0.456859i | ||||
\(831\) | 2.50833e19 | + | 1.82241e19i | 2.64227 | + | 1.91972i | ||||
\(832\) | −5.39437e17 | + | 1.66022e18i | −0.0563818 | + | 0.173525i | ||||
\(833\) | 5.12408e18 | + | 1.57703e19i | 0.531402 | + | 1.63549i | ||||
\(834\) | −3.23111e18 | + | 2.34754e18i | −0.332485 | + | 0.241564i | ||||
\(835\) | 9.23406e17 | 0.0942824 | ||||||||
\(836\) | 1.52895e18 | − | 4.38355e18i | 0.154900 | − | 0.444105i | ||||
\(837\) | 4.91516e18 | 0.494109 | ||||||||
\(838\) | −6.42836e18 | + | 4.67048e18i | −0.641231 | + | 0.465881i | ||||
\(839\) | 4.08311e16 | + | 1.25665e17i | 0.00404147 | + | 0.0124384i | 0.953057 | − | 0.302791i | \(-0.0979185\pi\) |
−0.949015 | + | 0.315230i | \(0.897918\pi\) | |||||||
\(840\) | 4.18962e18 | − | 1.28943e19i | 0.411490 | − | 1.26643i | ||||
\(841\) | 9.65422e17 | + | 7.01420e17i | 0.0940899 | + | 0.0683603i | ||||
\(842\) | 2.60282e18 | + | 1.89106e18i | 0.251718 | + | 0.182884i | ||||
\(843\) | −5.92506e18 | + | 1.82355e19i | −0.568609 | + | 1.75000i | ||||
\(844\) | 1.40013e16 | + | 4.30916e16i | 0.00133335 | + | 0.00410362i | ||||
\(845\) | −1.25199e19 | + | 9.09621e18i | −1.18313 | + | 0.859591i | ||||
\(846\) | 2.14205e19 | 2.00873 | ||||||||
\(847\) | 1.50635e19 | − | 9.98673e18i | 1.40180 | − | 0.929354i | ||||
\(848\) | −2.90663e18 | −0.268422 | ||||||||
\(849\) | 3.85210e18 | − | 2.79871e18i | 0.353019 | − | 0.256483i | ||||
\(850\) | 1.52110e18 | + | 4.68146e18i | 0.138336 | + | 0.425753i | ||||
\(851\) | −1.36751e18 | + | 4.20877e18i | −0.123421 | + | 0.379851i | ||||
\(852\) | −7.14983e18 | − | 5.19465e18i | −0.640381 | − | 0.465264i | ||||
\(853\) | −1.52065e19 | − | 1.10481e19i | −1.35164 | − | 0.982021i | −0.998928 | − | 0.0462869i | \(-0.985261\pi\) |
−0.352707 | − | 0.935734i | \(-0.614739\pi\) | |||||||
\(854\) | 5.45859e18 | − | 1.67998e19i | 0.481509 | − | 1.48193i | ||||
\(855\) | −8.57774e18 | − | 2.63996e19i | −0.750919 | − | 2.31109i | ||||
\(856\) | 2.32193e18 | − | 1.68698e18i | 0.201729 | − | 0.146565i | ||||
\(857\) | 5.71739e18 | 0.492973 | 0.246486 | − | 0.969146i | \(-0.420724\pi\) | ||||
0.246486 | + | 0.969146i | \(0.420724\pi\) | |||||||
\(858\) | −6.87671e18 | + | 1.97158e19i | −0.588455 | + | 1.68713i | ||||
\(859\) | 1.30896e18 | 0.111166 | 0.0555829 | − | 0.998454i | \(-0.482298\pi\) | ||||
0.0555829 | + | 0.998454i | \(0.482298\pi\) | |||||||
\(860\) | 5.32993e18 | − | 3.87242e18i | 0.449243 | − | 0.326394i | ||||
\(861\) | 7.46774e16 | + | 2.29833e17i | 0.00624696 | + | 0.0192262i | ||||
\(862\) | 1.10680e18 | − | 3.40637e18i | 0.0918905 | − | 0.282810i | ||||
\(863\) | −1.25877e19 | − | 9.14553e18i | −1.03724 | − | 0.753596i | −0.0674921 | − | 0.997720i | \(-0.521500\pi\) |
−0.969744 | + | 0.244124i | \(0.921500\pi\) | |||||||
\(864\) | 3.01841e18 | + | 2.19300e18i | 0.246853 | + | 0.179349i | ||||
\(865\) | 9.18020e17 | − | 2.82537e18i | 0.0745156 | − | 0.229336i | ||||
\(866\) | −3.57493e18 | − | 1.10025e19i | −0.288006 | − | 0.886390i | ||||
\(867\) | −2.02714e18 | + | 1.47280e18i | −0.162091 | + | 0.117766i | ||||
\(868\) | 3.03326e18 | 0.240731 | ||||||||
\(869\) | 5.27238e18 | + | 1.74942e19i | 0.415316 | + | 1.37805i | ||||
\(870\) | 1.90387e19 | 1.48855 | ||||||||
\(871\) | 2.23847e19 | − | 1.62634e19i | 1.73713 | − | 1.26210i | ||||
\(872\) | 9.33198e17 | + | 2.87209e18i | 0.0718814 | + | 0.221228i | ||||
\(873\) | −6.54084e17 | + | 2.01306e18i | −0.0500081 | + | 0.153909i | ||||
\(874\) | −4.21608e18 | − | 3.06316e18i | −0.319952 | − | 0.232459i | ||||
\(875\) | −7.63492e18 | − | 5.54709e18i | −0.575111 | − | 0.417843i | ||||
\(876\) | −2.11372e18 | + | 6.50537e18i | −0.158042 | + | 0.486402i | ||||
\(877\) | 6.39760e18 | + | 1.96898e19i | 0.474810 | + | 1.46131i | 0.846214 | + | 0.532843i | \(0.178877\pi\) |
−0.371404 | + | 0.928471i | \(0.621123\pi\) | |||||||
\(878\) | −2.08367e18 | + | 1.51387e18i | −0.153502 | + | 0.111526i | ||||
\(879\) | −2.88764e19 | −2.11162 | ||||||||
\(880\) | −4.45408e18 | − | 9.55028e16i | −0.323311 | − | 0.00693232i | ||||
\(881\) | 8.73255e18 | 0.629213 | 0.314607 | − | 0.949222i | \(-0.398127\pi\) | ||||
0.314607 | + | 0.949222i | \(0.398127\pi\) | |||||||
\(882\) | −2.92094e19 | + | 2.12219e19i | −2.08919 | + | 1.51788i | ||||
\(883\) | 2.27283e18 | + | 6.99505e18i | 0.161370 | + | 0.496645i | 0.998750 | − | 0.0499748i | \(-0.0159141\pi\) |
−0.837381 | + | 0.546620i | \(0.815914\pi\) | |||||||
\(884\) | −3.00906e18 | + | 9.26093e18i | −0.212076 | + | 0.652702i | ||||
\(885\) | −2.02673e18 | − | 1.47251e18i | −0.141796 | − | 0.103021i | ||||
\(886\) | −1.32619e19 | − | 9.63530e18i | −0.921054 | − | 0.669185i | ||||
\(887\) | −1.12943e18 | + | 3.47604e18i | −0.0778677 | + | 0.239652i | −0.982412 | − | 0.186728i | \(-0.940212\pi\) |
0.904544 | + | 0.426381i | \(0.140212\pi\) | |||||||
\(888\) | −1.85642e18 | − | 5.71349e18i | −0.127055 | − | 0.391036i | ||||
\(889\) | 2.29521e18 | − | 1.66757e18i | 0.155941 | − | 0.113298i | ||||
\(890\) | −1.14146e19 | −0.769883 | ||||||||
\(891\) | 1.17860e19 | + | 8.95526e18i | 0.789154 | + | 0.599616i | ||||
\(892\) | 7.86859e18 | 0.523028 | ||||||||
\(893\) | 1.64055e19 | − | 1.19193e19i | 1.08257 | − | 0.786530i | ||||
\(894\) | −9.09068e18 | − | 2.79782e19i | −0.595529 | − | 1.83285i | ||||
\(895\) | 6.33752e18 | − | 1.95049e19i | 0.412164 | − | 1.26851i | ||||
\(896\) | 1.86273e18 | + | 1.35335e18i | 0.120267 | + | 0.0873794i | ||||
\(897\) | 1.89626e19 | + | 1.37771e19i | 1.21548 | + | 0.883097i | ||||
\(898\) | 1.42493e17 | − | 4.38549e17i | 0.00906773 | − | 0.0279076i | ||||
\(899\) | 1.31625e18 | + | 4.05101e18i | 0.0831574 | + | 0.255932i | ||||
\(900\) | −8.67090e18 | + | 6.29978e18i | −0.543861 | + | 0.395138i | ||||
\(901\) | −1.62136e19 | −1.00965 | ||||||||
\(902\) | 6.52294e16 | − | 4.52878e16i | 0.00403275 | − | 0.00279988i | ||||
\(903\) | −4.07273e19 | −2.49986 | ||||||||
\(904\) | −2.57995e18 | + | 1.87444e18i | −0.157223 | + | 0.114229i | ||||
\(905\) | 2.76469e18 | + | 8.50883e18i | 0.167275 | + | 0.514819i | ||||
\(906\) | 5.28168e18 | − | 1.62553e19i | 0.317277 | − | 0.976479i | ||||
\(907\) | −2.18830e19 | − | 1.58989e19i | −1.30515 | − | 0.948243i | −0.305153 | − | 0.952303i | \(-0.598708\pi\) |
−0.999992 | + | 0.00405976i | \(0.998708\pi\) | |||||||
\(908\) | 1.74031e18 | + | 1.26441e18i | 0.103055 | + | 0.0748735i | ||||
\(909\) | −5.92201e17 | + | 1.82261e18i | −0.0348180 | + | 0.107159i | ||||
\(910\) | 1.18866e19 | + | 3.65833e19i | 0.693889 | + | 2.13557i | ||||
\(911\) | 1.43887e19 | − | 1.04540e19i | 0.833976 | − | 0.605919i | −0.0867055 | − | 0.996234i | \(-0.527634\pi\) |
0.920681 | + | 0.390315i | \(0.127634\pi\) | |||||||
\(912\) | 7.07453e18 | 0.407128 | ||||||||
\(913\) | −1.22160e19 | + | 8.48140e18i | −0.698023 | + | 0.484627i | ||||
\(914\) | 6.24077e17 | 0.0354069 | ||||||||
\(915\) | −4.21369e19 | + | 3.06142e19i | −2.37370 | + | 1.72459i | ||||
\(916\) | 2.59114e18 | + | 7.97472e18i | 0.144934 | + | 0.446061i | ||||
\(917\) | 2.80182e18 | − | 8.62312e18i | 0.155611 | − | 0.478921i | ||||
\(918\) | 1.68371e19 | + | 1.22329e19i | 0.928518 | + | 0.674608i | ||||
\(919\) | 2.40915e19 | + | 1.75035e19i | 1.31920 | + | 0.958458i | 0.999942 | + | 0.0107921i | \(0.00343530\pi\) |
0.319263 | + | 0.947666i | \(0.396565\pi\) | |||||||
\(920\) | −1.54538e18 | + | 4.75619e18i | −0.0840262 | + | 0.258606i | ||||
\(921\) | −1.43516e19 | − | 4.41697e19i | −0.774841 | − | 2.38472i | ||||
\(922\) | −1.58095e19 | + | 1.14863e19i | −0.847554 | + | 0.615784i | ||||
\(923\) | 2.50739e19 | 1.33479 | ||||||||
\(924\) | 2.19290e19 | + | 1.66621e19i | 1.15918 | + | 0.880768i | ||||
\(925\) | 8.61600e18 | 0.452256 | ||||||||
\(926\) | 2.08985e19 | − | 1.51836e19i | 1.08929 | − | 0.791416i | ||||
\(927\) | −1.78369e19 | − | 5.48964e19i | −0.923212 | − | 2.84135i | ||||
\(928\) | −9.99128e17 | + | 3.07500e18i | −0.0513522 | + | 0.158046i | ||||
\(929\) | −1.21574e19 | − | 8.83287e18i | −0.620495 | − | 0.450816i | 0.232599 | − | 0.972573i | \(-0.425277\pi\) |
−0.853094 | + | 0.521757i | \(0.825277\pi\) | |||||||
\(930\) | −7.23559e18 | − | 5.25697e18i | −0.366720 | − | 0.266438i | ||||
\(931\) | −1.05621e19 | + | 3.25067e19i | −0.531590 | + | 1.63606i | ||||
\(932\) | 1.69466e18 | + | 5.21563e18i | 0.0846992 | + | 0.260677i | ||||
\(933\) | −3.38866e19 | + | 2.46200e19i | −1.68189 | + | 1.22196i | ||||
\(934\) | −1.38174e19 | −0.681039 | ||||||||
\(935\) | −2.48455e19 | − | 5.32729e17i | −1.21611 | − | 0.0260754i | ||||
\(936\) | −2.12022e19 | −1.03059 | ||||||||
\(937\) | 2.00727e19 | − | 1.45836e19i | 0.968942 | − | 0.703978i | 0.0137318 | − | 0.999906i | \(-0.495629\pi\) |
0.955210 | + | 0.295928i | \(0.0956289\pi\) | |||||||
\(938\) | −1.12774e19 | − | 3.47083e19i | −0.540619 | − | 1.66385i | ||||
\(939\) | 1.32424e19 | − | 4.07559e19i | 0.630435 | − | 1.94028i | ||||
\(940\) | −1.57431e19 | − | 1.14380e19i | −0.744319 | − | 0.540779i | ||||
\(941\) | 2.51643e17 | + | 1.82829e17i | 0.0118155 | + | 0.00858447i | 0.593677 | − | 0.804703i | \(-0.297676\pi\) |
−0.581862 | + | 0.813288i | \(0.697676\pi\) | |||||||
\(942\) | −1.22158e19 | + | 3.75965e19i | −0.569630 | + | 1.75314i | ||||
\(943\) | −2.75455e16 | − | 8.47762e16i | −0.00127563 | − | 0.00392598i | ||||
\(944\) | 3.44189e17 | − | 2.50068e17i | 0.0158299 | − | 0.0115011i | ||||
\(945\) | 8.22126e19 | 3.75519 | ||||||||
\(946\) | 3.86176e18 | + | 1.28136e19i | 0.175183 | + | 0.581273i | ||||
\(947\) | 1.20361e19 | 0.542264 | 0.271132 | − | 0.962542i | \(-0.412602\pi\) | ||||
0.271132 | + | 0.962542i | \(0.412602\pi\) | |||||||
\(948\) | −2.25254e19 | + | 1.63657e19i | −1.00790 | + | 0.732284i | ||||
\(949\) | −5.99698e18 | − | 1.84568e19i | −0.266503 | − | 0.820213i | ||||
\(950\) | −3.13538e18 | + | 9.64972e18i | −0.138384 | + | 0.425904i | ||||
\(951\) | 4.66161e19 | + | 3.38686e19i | 2.04344 | + | 1.48465i | ||||
\(952\) | 1.03906e19 | + | 7.54921e18i | 0.452377 | + | 0.328671i | ||||
\(953\) | 4.28755e18 | − | 1.31957e19i | 0.185398 | − | 0.570596i | −0.814557 | − | 0.580084i | \(-0.803020\pi\) |
0.999955 | + | 0.00948716i | \(0.00301990\pi\) | |||||||
\(954\) | −1.09092e19 | − | 3.35752e19i | −0.468522 | − | 1.44196i | ||||
\(955\) | 1.26756e19 | − | 9.20935e18i | 0.540687 | − | 0.392832i | ||||
\(956\) | 1.05204e19 | 0.445715 | ||||||||
\(957\) | −1.27368e19 | + | 3.65171e19i | −0.535962 | + | 1.53663i | ||||
\(958\) | −7.05759e18 | −0.294972 | ||||||||
\(959\) | 1.00351e19 | − | 7.29089e18i | 0.416580 | − | 0.302663i | ||||
\(960\) | −2.09788e18 | − | 6.45662e18i | −0.0865004 | − | 0.266221i | ||||
\(961\) | −6.92711e18 | + | 2.13195e19i | −0.283694 | + | 0.873120i | ||||
\(962\) | 1.37891e19 | + | 1.00184e19i | 0.560918 | + | 0.407531i | ||||
\(963\) | 2.82014e19 | + | 2.04895e19i | 1.13946 | + | 0.827867i | ||||
\(964\) | 5.11023e18 | − | 1.57277e19i | 0.205088 | − | 0.631195i | ||||
\(965\) | −1.40328e19 | − | 4.31885e19i | −0.559393 | − | 1.72163i | ||||
\(966\) | 2.50111e19 | − | 1.81716e19i | 0.990333 | − | 0.719519i | ||||
\(967\) | −4.83731e18 | −0.190253 | −0.0951266 | − | 0.995465i | \(-0.530326\pi\) | ||||
−0.0951266 | + | 0.995465i | \(0.530326\pi\) | |||||||
\(968\) | 3.16294e18 | − | 8.47921e18i | 0.123566 | − | 0.331257i | ||||
\(969\) | 3.94628e19 | 1.53138 | ||||||||
\(970\) | 1.55565e18 | − | 1.13025e18i | 0.0599647 | − | 0.0435669i | ||||
\(971\) | 1.36586e19 | + | 4.20370e19i | 0.522977 | + | 1.60956i | 0.768282 | + | 0.640112i | \(0.221112\pi\) |
−0.245304 | + | 0.969446i | \(0.578888\pi\) | |||||||
\(972\) | 4.16518e16 | − | 1.28191e17i | 0.00158417 | − | 0.00487558i | ||||
\(973\) | −1.20912e19 | − | 8.78479e18i | −0.456811 | − | 0.331893i | ||||
\(974\) | −1.39504e19 | − | 1.01356e19i | −0.523546 | − | 0.380378i | ||||
\(975\) | 1.41020e19 | − | 4.34014e19i | 0.525714 | − | 1.61798i | ||||
\(976\) | −2.73330e18 | − | 8.41224e18i | −0.101219 | − | 0.311521i | ||||
\(977\) | 1.41658e19 | − | 1.02920e19i | 0.521105 | − | 0.378605i | −0.295915 | − | 0.955214i | \(-0.595625\pi\) |
0.817020 | + | 0.576609i | \(0.195625\pi\) | |||||||
\(978\) | 1.55412e19 | 0.567914 | ||||||||
\(979\) | 7.63630e18 | − | 2.18936e19i | 0.277201 | − | 0.794749i | ||||
\(980\) | 3.27996e19 | 1.18277 | ||||||||
\(981\) | −2.96737e19 | + | 2.15592e19i | −1.06297 | + | 0.772296i | ||||
\(982\) | 1.01359e19 | + | 3.11951e19i | 0.360693 | + | 1.11010i | ||||
\(983\) | 1.49628e19 | − | 4.60506e19i | 0.528949 | − | 1.62794i | −0.227424 | − | 0.973796i | \(-0.573030\pi\) |
0.756373 | − | 0.654141i | \(-0.226970\pi\) | |||||||
\(984\) | 9.78975e16 | + | 7.11267e16i | 0.00343798 | + | 0.00249784i | ||||
\(985\) | −1.57649e19 | − | 1.14538e19i | −0.549990 | − | 0.399591i | ||||
\(986\) | −5.57328e18 | + | 1.71528e19i | −0.193157 | + | 0.594477i | ||||
\(987\) | 3.71738e19 | + | 1.14409e20i | 1.27990 | + | 3.93912i | ||||
\(988\) | −1.62383e19 | + | 1.17978e19i | −0.555418 | + | 0.403534i | ||||
\(989\) | 1.50227e19 | 0.510471 | ||||||||
\(990\) | −1.56140e19 | − | 5.18085e19i | −0.527090 | − | 1.74893i | ||||
\(991\) | −3.74805e19 | −1.25697 | −0.628487 | − | 0.777820i | \(-0.716325\pi\) | ||||
−0.628487 | + | 0.777820i | \(0.716325\pi\) | |||||||
\(992\) | 1.22878e18 | − | 8.92763e17i | 0.0409401 | − | 0.0297447i | ||||
\(993\) | 2.42522e19 | + | 7.46407e19i | 0.802753 | + | 2.47062i | ||||
\(994\) | 1.02197e19 | − | 3.14531e19i | 0.336068 | − | 1.03431i | ||||
\(995\) | −3.35968e19 | − | 2.44095e19i | −1.09761 | − | 0.797460i | ||||
\(996\) | −1.83340e19 | − | 1.33204e19i | −0.595076 | − | 0.432348i | ||||
\(997\) | −6.07105e17 | + | 1.86848e18i | −0.0195770 | + | 0.0602517i | −0.960368 | − | 0.278736i | \(-0.910085\pi\) |
0.940791 | + | 0.338988i | \(0.110085\pi\) | |||||||
\(998\) | −5.35311e17 | − | 1.64752e18i | −0.0171497 | − | 0.0527815i | ||||
\(999\) | 2.94713e19 | − | 2.14121e19i | 0.938044 | − | 0.681529i |
(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 | 22.14.c.b.3.1 | ✓ | 28 | |
11.4 | even | 5 | inner | 22.14.c.b.15.1 | yes | 28 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
22.14.c.b.3.1 | ✓ | 28 | 1.1 | even | 1 | trivial | |
22.14.c.b.15.1 | yes | 28 | 11.4 | even | 5 | inner |