Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [14,14,Mod(9,14)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(14, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 14, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("14.9");
S:= CuspForms(chi, 14);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 14 = 2 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 14 \) |
Character orbit: | \([\chi]\) | \(=\) | 14.c (of order \(3\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(15.0123300533\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{8} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - 2 x^{7} + 692094 x^{6} + 445371928 x^{5} + 480078817147 x^{4} + 153633603309480 x^{3} + \cdots + 23\!\cdots\!25 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{14}\cdot 3\cdot 7^{4} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 11.4 | ||
Root | \(-217.937 - 377.477i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 14.11 |
Dual form | 14.14.c.a.9.4 |
$q$-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 \(\left(\mathbb{Z}/14\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −32.0000 | − | 55.4256i | −0.353553 | − | 0.612372i | ||||
\(3\) | 1142.35 | − | 1978.62i | 0.904717 | − | 1.56702i | 0.0834205 | − | 0.996514i | \(-0.473416\pi\) |
0.821297 | − | 0.570502i | \(-0.193251\pi\) | |||||||
\(4\) | −2048.00 | + | 3547.24i | −0.250000 | + | 0.433013i | ||||
\(5\) | −18256.5 | − | 31621.1i | −0.522530 | − | 0.905049i | −0.999656 | − | 0.0262140i | \(-0.991655\pi\) |
0.477126 | − | 0.878835i | \(-0.341678\pi\) | |||||||
\(6\) | −146221. | −1.27946 | ||||||||
\(7\) | −233961. | + | 205308.i | −0.751632 | + | 0.659583i | ||||
\(8\) | 262144. | 0.353553 | ||||||||
\(9\) | −1.81279e6 | − | 3.13984e6i | −1.13703 | − | 1.96939i | ||||
\(10\) | −1.16841e6 | + | 2.02375e6i | −0.369485 | + | 0.639966i | ||||
\(11\) | 1.91927e6 | − | 3.32427e6i | 0.326651 | − | 0.565776i | −0.655194 | − | 0.755460i | \(-0.727413\pi\) |
0.981845 | + | 0.189685i | \(0.0607466\pi\) | |||||||
\(12\) | 4.67908e6 | + | 8.10441e6i | 0.452359 | + | 0.783508i | ||||
\(13\) | 1.67406e7 | 0.961923 | 0.480961 | − | 0.876742i | \(-0.340288\pi\) | ||||
0.480961 | + | 0.876742i | \(0.340288\pi\) | |||||||
\(14\) | 1.88661e7 | + | 6.39754e6i | 0.669652 | + | 0.227081i | ||||
\(15\) | −8.34214e7 | −1.89097 | ||||||||
\(16\) | −8.38861e6 | − | 1.45295e7i | −0.125000 | − | 0.216506i | ||||
\(17\) | −8.06528e7 | + | 1.39695e8i | −0.810404 | + | 1.40366i | 0.102177 | + | 0.994766i | \(0.467419\pi\) |
−0.912582 | + | 0.408895i | \(0.865914\pi\) | |||||||
\(18\) | −1.16018e8 | + | 2.00950e8i | −0.803999 | + | 1.39257i | ||||
\(19\) | −1.29443e8 | − | 2.24202e8i | −0.631220 | − | 1.09330i | −0.987303 | − | 0.158850i | \(-0.949221\pi\) |
0.356083 | − | 0.934454i | \(-0.384112\pi\) | |||||||
\(20\) | 1.49557e8 | 0.522530 | ||||||||
\(21\) | 1.38960e8 | + | 6.97453e8i | 0.353562 | + | 1.77456i | ||||
\(22\) | −2.45667e8 | −0.461954 | ||||||||
\(23\) | 4.39704e8 | + | 7.61589e8i | 0.619340 | + | 1.07273i | 0.989606 | + | 0.143803i | \(0.0459330\pi\) |
−0.370267 | + | 0.928926i | \(0.620734\pi\) | |||||||
\(24\) | 2.99461e8 | − | 5.18682e8i | 0.319866 | − | 0.554024i | ||||
\(25\) | −5.62445e7 | + | 9.74183e7i | −0.0460755 | + | 0.0798051i | ||||
\(26\) | −5.35700e8 | − | 9.27860e8i | −0.340091 | − | 0.589055i | ||||
\(27\) | −4.64082e9 | −2.30531 | ||||||||
\(28\) | −2.49127e8 | − | 1.25039e9i | −0.0976996 | − | 0.490362i | ||||
\(29\) | 6.01309e8 | 0.187720 | 0.0938600 | − | 0.995585i | \(-0.470079\pi\) | ||||
0.0938600 | + | 0.995585i | \(0.470079\pi\) | |||||||
\(30\) | 2.66948e9 | + | 4.62368e9i | 0.668558 | + | 1.15798i | ||||
\(31\) | 1.66816e9 | − | 2.88933e9i | 0.337587 | − | 0.584718i | −0.646391 | − | 0.763006i | \(-0.723723\pi\) |
0.983978 | + | 0.178288i | \(0.0570559\pi\) | |||||||
\(32\) | −5.36871e8 | + | 9.29888e8i | −0.0883883 | + | 0.153093i | ||||
\(33\) | −4.38497e9 | − | 7.59500e9i | −0.591053 | − | 1.02373i | ||||
\(34\) | 1.03236e10 | 1.14608 | ||||||||
\(35\) | 1.07634e10 | + | 3.64989e9i | 0.989705 | + | 0.335612i | ||||
\(36\) | 1.48503e10 | 1.13703 | ||||||||
\(37\) | −2.94647e9 | − | 5.10343e9i | −0.188795 | − | 0.327003i | 0.756054 | − | 0.654510i | \(-0.227125\pi\) |
−0.944849 | + | 0.327507i | \(0.893792\pi\) | |||||||
\(38\) | −8.28436e9 | + | 1.43489e10i | −0.446340 | + | 0.773083i | ||||
\(39\) | 1.91237e10 | − | 3.31233e10i | 0.870268 | − | 1.50735i | ||||
\(40\) | −4.78582e9 | − | 8.28928e9i | −0.184742 | − | 0.319983i | ||||
\(41\) | −4.54312e10 | −1.49369 | −0.746843 | − | 0.665000i | \(-0.768432\pi\) | ||||
−0.746843 | + | 0.665000i | \(0.768432\pi\) | |||||||
\(42\) | 3.42100e10 | − | 3.00205e10i | 0.961686 | − | 0.843912i | ||||
\(43\) | −2.12865e10 | −0.513523 | −0.256762 | − | 0.966475i | \(-0.582656\pi\) | ||||
−0.256762 | + | 0.966475i | \(0.582656\pi\) | |||||||
\(44\) | 7.86133e9 | + | 1.36162e10i | 0.163325 | + | 0.282888i | ||||
\(45\) | −6.61901e10 | + | 1.14645e11i | −1.18826 | + | 2.05813i | ||||
\(46\) | 2.81410e10 | − | 4.87417e10i | 0.437939 | − | 0.758533i | ||||
\(47\) | −3.51744e10 | − | 6.09238e10i | −0.475982 | − | 0.824425i | 0.523639 | − | 0.851940i | \(-0.324574\pi\) |
−0.999621 | + | 0.0275151i | \(0.991241\pi\) | |||||||
\(48\) | −3.83311e10 | −0.452359 | ||||||||
\(49\) | 1.25860e10 | − | 9.60681e10i | 0.129902 | − | 0.991527i | ||||
\(50\) | 7.19929e9 | 0.0651606 | ||||||||
\(51\) | 1.84268e11 | + | 3.19162e11i | 1.46637 | + | 2.53983i | ||||
\(52\) | −3.42848e10 | + | 5.93831e10i | −0.240481 | + | 0.416525i | ||||
\(53\) | 1.57102e10 | − | 2.72108e10i | 0.0973617 | − | 0.168635i | −0.813230 | − | 0.581942i | \(-0.802293\pi\) |
0.910592 | + | 0.413307i | \(0.135626\pi\) | |||||||
\(54\) | 1.48506e11 | + | 2.57220e11i | 0.815051 | + | 1.41171i | ||||
\(55\) | −1.40156e11 | −0.682739 | ||||||||
\(56\) | −6.13313e10 | + | 5.38203e10i | −0.265742 | + | 0.233198i | ||||
\(57\) | −5.91480e11 | −2.28430 | ||||||||
\(58\) | −1.92419e10 | − | 3.33279e10i | −0.0663691 | − | 0.114955i | ||||
\(59\) | 1.02489e11 | − | 1.77517e11i | 0.316330 | − | 0.547900i | −0.663389 | − | 0.748275i | \(-0.730883\pi\) |
0.979719 | + | 0.200375i | \(0.0642159\pi\) | |||||||
\(60\) | 1.70847e11 | − | 2.95916e11i | 0.472742 | − | 0.818813i | ||||
\(61\) | −2.45117e11 | − | 4.24555e11i | −0.609157 | − | 1.05509i | −0.991380 | − | 0.131020i | \(-0.958175\pi\) |
0.382223 | − | 0.924070i | \(-0.375159\pi\) | |||||||
\(62\) | −2.13524e11 | −0.477420 | ||||||||
\(63\) | 1.06876e12 | + | 3.62418e11i | 2.15360 | + | 0.730292i | ||||
\(64\) | 6.87195e10 | 0.125000 | ||||||||
\(65\) | −3.05625e11 | − | 5.29357e11i | −0.502634 | − | 0.870587i | ||||
\(66\) | −2.80638e11 | + | 4.86080e11i | −0.417938 | + | 0.723889i | ||||
\(67\) | −9.70566e9 | + | 1.68107e10i | −0.0131081 | + | 0.0227039i | −0.872505 | − | 0.488605i | \(-0.837506\pi\) |
0.859397 | + | 0.511309i | \(0.170839\pi\) | |||||||
\(68\) | −3.30354e11 | − | 5.72190e11i | −0.405202 | − | 0.701830i | ||||
\(69\) | 2.00919e12 | 2.24131 | ||||||||
\(70\) | −1.42130e11 | − | 7.13363e11i | −0.144394 | − | 0.724725i | ||||
\(71\) | 1.11249e12 | 1.03067 | 0.515334 | − | 0.856989i | \(-0.327668\pi\) | ||||
0.515334 | + | 0.856989i | \(0.327668\pi\) | |||||||
\(72\) | −4.75211e11 | − | 8.23090e11i | −0.401999 | − | 0.696283i | ||||
\(73\) | −1.49352e11 | + | 2.58686e11i | −0.115508 | + | 0.200066i | −0.917983 | − | 0.396620i | \(-0.870183\pi\) |
0.802474 | + | 0.596686i | \(0.203516\pi\) | |||||||
\(74\) | −1.88574e11 | + | 3.26620e11i | −0.133498 | + | 0.231226i | ||||
\(75\) | 1.28502e11 | + | 2.22572e11i | 0.0833705 | + | 0.144402i | ||||
\(76\) | 1.06040e12 | 0.631220 | ||||||||
\(77\) | 2.33467e11 | + | 1.17179e12i | 0.127655 | + | 0.640708i | ||||
\(78\) | −2.44784e12 | −1.23074 | ||||||||
\(79\) | −1.60375e12 | − | 2.77777e12i | −0.742267 | − | 1.28564i | −0.951461 | − | 0.307769i | \(-0.900417\pi\) |
0.209194 | − | 0.977874i | \(-0.432916\pi\) | |||||||
\(80\) | −3.06292e11 | + | 5.30514e11i | −0.130633 | + | 0.226262i | ||||
\(81\) | −2.41129e12 | + | 4.17648e12i | −0.948630 | + | 1.64308i | ||||
\(82\) | 1.45380e12 | + | 2.51806e12i | 0.528098 | + | 0.914693i | ||||
\(83\) | −2.08048e12 | −0.698483 | −0.349241 | − | 0.937033i | \(-0.613561\pi\) | ||||
−0.349241 | + | 0.937033i | \(0.613561\pi\) | |||||||
\(84\) | −2.75862e12 | − | 9.35458e11i | −0.856795 | − | 0.290542i | ||||
\(85\) | 5.88974e12 | 1.69384 | ||||||||
\(86\) | 6.81169e11 | + | 1.17982e12i | 0.181558 | + | 0.314467i | ||||
\(87\) | 6.86908e11 | − | 1.18976e12i | 0.169834 | − | 0.294160i | ||||
\(88\) | 5.03125e11 | − | 8.71438e11i | 0.115488 | − | 0.200032i | ||||
\(89\) | −1.93546e12 | − | 3.35232e12i | −0.412810 | − | 0.715007i | 0.582386 | − | 0.812912i | \(-0.302119\pi\) |
−0.995196 | + | 0.0979049i | \(0.968786\pi\) | |||||||
\(90\) | 8.47233e12 | 1.68045 | ||||||||
\(91\) | −3.91665e12 | + | 3.43699e12i | −0.723012 | + | 0.634467i | ||||
\(92\) | −3.60205e12 | −0.619340 | ||||||||
\(93\) | −3.81125e12 | − | 6.60129e12i | −0.610842 | − | 1.05801i | ||||
\(94\) | −2.25116e12 | + | 3.89912e12i | −0.336570 | + | 0.582956i | ||||
\(95\) | −4.72634e12 | + | 8.18627e12i | −0.659662 | + | 1.14257i | ||||
\(96\) | 1.22659e12 | + | 2.12452e12i | 0.159933 | + | 0.277012i | ||||
\(97\) | 1.42174e13 | 1.73302 | 0.866509 | − | 0.499162i | \(-0.166359\pi\) | ||||
0.866509 | + | 0.499162i | \(0.166359\pi\) | |||||||
\(98\) | −5.72739e12 | + | 2.37659e12i | −0.653111 | + | 0.271009i | ||||
\(99\) | −1.39169e13 | −1.48564 | ||||||||
\(100\) | −2.30377e11 | − | 3.99025e11i | −0.0230377 | − | 0.0399025i | ||||
\(101\) | −5.24950e12 | + | 9.09240e12i | −0.492072 | + | 0.852294i | −0.999958 | − | 0.00912999i | \(-0.997094\pi\) |
0.507886 | + | 0.861424i | \(0.330427\pi\) | |||||||
\(102\) | 1.17932e13 | − | 2.04264e13i | 1.03688 | − | 1.79593i | ||||
\(103\) | −5.59871e12 | − | 9.69725e12i | −0.462005 | − | 0.800215i | 0.537056 | − | 0.843546i | \(-0.319536\pi\) |
−0.999061 | + | 0.0433311i | \(0.986203\pi\) | |||||||
\(104\) | 4.38846e12 | 0.340091 | ||||||||
\(105\) | 1.95173e13 | − | 1.71271e13i | 1.42131 | − | 1.24725i | ||||
\(106\) | −2.01090e12 | −0.137690 | ||||||||
\(107\) | 1.16058e13 | + | 2.01019e13i | 0.747622 | + | 1.29492i | 0.948959 | + | 0.315398i | \(0.102138\pi\) |
−0.201337 | + | 0.979522i | \(0.564529\pi\) | |||||||
\(108\) | 9.50439e12 | − | 1.64621e13i | 0.576328 | − | 0.998230i | ||||
\(109\) | −4.27010e12 | + | 7.39604e12i | −0.243874 | + | 0.422403i | −0.961815 | − | 0.273702i | \(-0.911752\pi\) |
0.717940 | + | 0.696105i | \(0.245085\pi\) | |||||||
\(110\) | 4.48500e12 | + | 7.76825e12i | 0.241385 | + | 0.418091i | ||||
\(111\) | −1.34636e13 | −0.683224 | ||||||||
\(112\) | 4.94563e12 | + | 1.67708e12i | 0.236758 | + | 0.0802853i | ||||
\(113\) | 1.63979e13 | 0.740934 | 0.370467 | − | 0.928846i | \(-0.379198\pi\) | ||||
0.370467 | + | 0.928846i | \(0.379198\pi\) | |||||||
\(114\) | 1.89273e13 | + | 3.27831e13i | 0.807622 | + | 1.39884i | ||||
\(115\) | 1.60549e13 | − | 2.78078e13i | 0.647247 | − | 1.12107i | ||||
\(116\) | −1.23148e12 | + | 2.13299e12i | −0.0469300 | + | 0.0812852i | ||||
\(117\) | −3.03472e13 | − | 5.25629e13i | −1.09373 | − | 1.89440i | ||||
\(118\) | −1.31186e13 | −0.447358 | ||||||||
\(119\) | −9.81092e12 | − | 4.92418e13i | −0.316705 | − | 1.58957i | ||||
\(120\) | −2.18684e13 | −0.668558 | ||||||||
\(121\) | 9.89416e12 | + | 1.71372e13i | 0.286599 | + | 0.496403i | ||||
\(122\) | −1.56875e13 | + | 2.71715e13i | −0.430739 | + | 0.746062i | ||||
\(123\) | −5.18986e13 | + | 8.98910e13i | −1.35136 | + | 2.34063i | ||||
\(124\) | 6.83277e12 | + | 1.18347e13i | 0.168794 | + | 0.292359i | ||||
\(125\) | −4.04641e13 | −0.948757 | ||||||||
\(126\) | −1.41129e13 | − | 7.08338e13i | −0.314201 | − | 1.57700i | ||||
\(127\) | 3.77685e13 | 0.798741 | 0.399371 | − | 0.916790i | \(-0.369229\pi\) | ||||
0.399371 | + | 0.916790i | \(0.369229\pi\) | |||||||
\(128\) | −2.19902e12 | − | 3.80882e12i | −0.0441942 | − | 0.0765466i | ||||
\(129\) | −2.43168e13 | + | 4.21179e13i | −0.464593 | + | 0.804699i | ||||
\(130\) | −1.95600e13 | + | 3.38789e13i | −0.355416 | + | 0.615598i | ||||
\(131\) | 2.22248e13 | + | 3.84945e13i | 0.384216 | + | 0.665481i | 0.991660 | − | 0.128881i | \(-0.0411386\pi\) |
−0.607444 | + | 0.794362i | \(0.707805\pi\) | |||||||
\(132\) | 3.59217e13 | 0.591053 | ||||||||
\(133\) | 7.63151e13 | + | 2.58787e13i | 1.19557 | + | 0.405421i | ||||
\(134\) | 1.24232e12 | 0.0185376 | ||||||||
\(135\) | 8.47248e13 | + | 1.46748e14i | 1.20460 | + | 2.08642i | ||||
\(136\) | −2.11427e13 | + | 3.66202e13i | −0.286521 | + | 0.496269i | ||||
\(137\) | 5.54037e13 | − | 9.59620e13i | 0.715904 | − | 1.23998i | −0.246706 | − | 0.969090i | \(-0.579348\pi\) |
0.962610 | − | 0.270892i | \(-0.0873186\pi\) | |||||||
\(138\) | −6.42941e13 | − | 1.11361e14i | −0.792423 | − | 1.37252i | ||||
\(139\) | 8.82502e13 | 1.03781 | 0.518907 | − | 0.854831i | \(-0.326339\pi\) | ||||
0.518907 | + | 0.854831i | \(0.326339\pi\) | |||||||
\(140\) | −3.49904e13 | + | 3.07053e13i | −0.392750 | + | 0.344652i | ||||
\(141\) | −1.60726e14 | −1.72252 | ||||||||
\(142\) | −3.55998e13 | − | 6.16607e13i | −0.364396 | − | 0.631153i | ||||
\(143\) | 3.21298e13 | − | 5.56504e13i | 0.314213 | − | 0.544232i | ||||
\(144\) | −3.04135e13 | + | 5.26777e13i | −0.284256 | + | 0.492347i | ||||
\(145\) | −1.09778e13 | − | 1.90141e13i | −0.0980894 | − | 0.169896i | ||||
\(146\) | 1.91171e13 | 0.163353 | ||||||||
\(147\) | −1.75704e14 | − | 1.34647e14i | −1.43621 | − | 1.10061i | ||||
\(148\) | 2.41375e13 | 0.188795 | ||||||||
\(149\) | −6.36934e13 | − | 1.10320e14i | −0.476852 | − | 0.825932i | 0.522796 | − | 0.852458i | \(-0.324889\pi\) |
−0.999648 | + | 0.0265259i | \(0.991556\pi\) | |||||||
\(150\) | 8.22414e12 | − | 1.42446e13i | 0.0589519 | − | 0.102108i | ||||
\(151\) | −4.79442e13 | + | 8.30417e13i | −0.329144 | + | 0.570094i | −0.982342 | − | 0.187093i | \(-0.940093\pi\) |
0.653198 | + | 0.757187i | \(0.273427\pi\) | |||||||
\(152\) | −3.39327e13 | − | 5.87732e13i | −0.223170 | − | 0.386541i | ||||
\(153\) | 5.84825e14 | 3.68580 | ||||||||
\(154\) | 5.74763e13 | − | 5.04374e13i | 0.347219 | − | 0.304697i | ||||
\(155\) | −1.21819e14 | −0.705598 | ||||||||
\(156\) | 7.83308e13 | + | 1.35673e14i | 0.435134 | + | 0.753674i | ||||
\(157\) | 1.47340e14 | − | 2.55201e14i | 0.785189 | − | 1.35999i | −0.143698 | − | 0.989622i | \(-0.545899\pi\) |
0.928886 | − | 0.370365i | \(-0.120767\pi\) | |||||||
\(158\) | −1.02640e14 | + | 1.77777e14i | −0.524862 | + | 0.909087i | ||||
\(159\) | −3.58932e13 | − | 6.21689e13i | −0.176170 | − | 0.305135i | ||||
\(160\) | 3.92054e13 | 0.184742 | ||||||||
\(161\) | −2.59234e14 | − | 8.79070e13i | −1.17307 | − | 0.397791i | ||||
\(162\) | 3.08645e14 | 1.34157 | ||||||||
\(163\) | 1.77089e13 | + | 3.06727e13i | 0.0739556 | + | 0.128095i | 0.900632 | − | 0.434583i | \(-0.143104\pi\) |
−0.826676 | + | 0.562678i | \(0.809771\pi\) | |||||||
\(164\) | 9.30432e13 | − | 1.61156e14i | 0.373422 | − | 0.646785i | ||||
\(165\) | −1.60108e14 | + | 2.77315e14i | −0.617686 | + | 1.06986i | ||||
\(166\) | 6.65753e13 | + | 1.15312e14i | 0.246951 | + | 0.427732i | ||||
\(167\) | 1.84001e14 | 0.656390 | 0.328195 | − | 0.944610i | \(-0.393560\pi\) | ||||
0.328195 | + | 0.944610i | \(0.393560\pi\) | |||||||
\(168\) | 3.64276e13 | + | 1.82833e14i | 0.125003 | + | 0.627400i | ||||
\(169\) | −2.26262e13 | −0.0747049 | ||||||||
\(170\) | −1.88472e14 | − | 3.26442e14i | −0.598864 | − | 1.03726i | ||||
\(171\) | −4.69305e14 | + | 8.12861e14i | −1.43543 | + | 2.48623i | ||||
\(172\) | 4.35948e13 | − | 7.55085e13i | 0.128381 | − | 0.222362i | ||||
\(173\) | −3.25046e13 | − | 5.62995e13i | −0.0921817 | − | 0.159663i | 0.816247 | − | 0.577703i | \(-0.196051\pi\) |
−0.908429 | + | 0.418039i | \(0.862717\pi\) | |||||||
\(174\) | −8.79242e13 | −0.240181 | ||||||||
\(175\) | −6.84179e12 | − | 3.43395e13i | −0.0180062 | − | 0.0903746i | ||||
\(176\) | −6.44000e13 | −0.163325 | ||||||||
\(177\) | −2.34158e14 | − | 4.05574e14i | −0.572379 | − | 0.991389i | ||||
\(178\) | −1.23870e14 | + | 2.14549e14i | −0.291901 | + | 0.505587i | ||||
\(179\) | −1.31245e14 | + | 2.27323e14i | −0.298221 | + | 0.516534i | −0.975729 | − | 0.218982i | \(-0.929727\pi\) |
0.677508 | + | 0.735515i | \(0.263060\pi\) | |||||||
\(180\) | −2.71115e14 | − | 4.69584e14i | −0.594130 | − | 1.02906i | ||||
\(181\) | 4.09833e14 | 0.866355 | 0.433178 | − | 0.901309i | \(-0.357392\pi\) | ||||
0.433178 | + | 0.901309i | \(0.357392\pi\) | |||||||
\(182\) | 3.15830e14 | + | 1.07099e14i | 0.644154 | + | 0.218434i | ||||
\(183\) | −1.12004e15 | −2.20446 | ||||||||
\(184\) | 1.15266e14 | + | 1.99646e14i | 0.218970 | + | 0.379267i | ||||
\(185\) | −1.07584e14 | + | 1.86341e14i | −0.197302 | + | 0.341737i | ||||
\(186\) | −2.43920e14 | + | 4.22482e14i | −0.431930 | + | 0.748125i | ||||
\(187\) | 3.09589e14 | + | 5.36224e14i | 0.529438 | + | 0.917014i | ||||
\(188\) | 2.88149e14 | 0.475982 | ||||||||
\(189\) | 1.08577e15 | − | 9.52798e14i | 1.73275 | − | 1.52054i | ||||
\(190\) | 6.04972e14 | 0.932904 | ||||||||
\(191\) | −3.25497e13 | − | 5.63777e13i | −0.0485099 | − | 0.0840216i | 0.840751 | − | 0.541422i | \(-0.182114\pi\) |
−0.889261 | + | 0.457401i | \(0.848781\pi\) | |||||||
\(192\) | 7.85020e13 | − | 1.35969e14i | 0.113090 | − | 0.195877i | ||||
\(193\) | 1.62299e14 | − | 2.81110e14i | 0.226044 | − | 0.391519i | −0.730588 | − | 0.682818i | \(-0.760754\pi\) |
0.956632 | + | 0.291299i | \(0.0940874\pi\) | |||||||
\(194\) | −4.54956e14 | − | 7.88007e14i | −0.612714 | − | 1.06125i | ||||
\(195\) | −1.39653e15 | −1.81896 | ||||||||
\(196\) | 3.15000e14 | + | 2.41393e14i | 0.396868 | + | 0.304131i | ||||
\(197\) | 8.88338e14 | 1.08280 | 0.541399 | − | 0.840766i | \(-0.317895\pi\) | ||||
0.541399 | + | 0.840766i | \(0.317895\pi\) | |||||||
\(198\) | 4.45341e14 | + | 7.71353e14i | 0.525253 | + | 0.909766i | ||||
\(199\) | 7.84474e13 | − | 1.35875e14i | 0.0895433 | − | 0.155094i | −0.817775 | − | 0.575538i | \(-0.804793\pi\) |
0.907318 | + | 0.420445i | \(0.138126\pi\) | |||||||
\(200\) | −1.47441e13 | + | 2.55376e13i | −0.0162901 | + | 0.0282153i | ||||
\(201\) | 2.21746e13 | + | 3.84076e13i | 0.0237182 | + | 0.0410811i | ||||
\(202\) | 6.71936e14 | 0.695895 | ||||||||
\(203\) | −1.40683e14 | + | 1.23454e14i | −0.141096 | + | 0.123817i | ||||
\(204\) | −1.50953e15 | −1.46637 | ||||||||
\(205\) | 8.29413e14 | + | 1.43659e15i | 0.780496 | + | 1.35186i | ||||
\(206\) | −3.58318e14 | + | 6.20624e14i | −0.326687 | + | 0.565838i | ||||
\(207\) | 1.59418e15 | − | 2.76120e15i | 1.40841 | − | 2.43944i | ||||
\(208\) | −1.40431e14 | − | 2.43233e14i | −0.120240 | − | 0.208262i | ||||
\(209\) | −9.93745e14 | −0.824753 | ||||||||
\(210\) | −1.57383e15 | − | 5.33692e14i | −1.26629 | − | 0.429403i | ||||
\(211\) | −3.37886e14 | −0.263593 | −0.131797 | − | 0.991277i | \(-0.542075\pi\) | ||||
−0.131797 | + | 0.991277i | \(0.542075\pi\) | |||||||
\(212\) | 6.43489e13 | + | 1.11456e14i | 0.0486809 | + | 0.0843177i | ||||
\(213\) | 1.27086e15 | − | 2.20120e15i | 0.932463 | − | 1.61507i | ||||
\(214\) | 7.42774e14 | − | 1.28652e15i | 0.528649 | − | 0.915647i | ||||
\(215\) | 3.88617e14 | + | 6.73104e14i | 0.268331 | + | 0.464764i | ||||
\(216\) | −1.21656e15 | −0.815051 | ||||||||
\(217\) | 2.02921e14 | + | 1.01848e15i | 0.131929 | + | 0.662160i | ||||
\(218\) | 5.46573e14 | 0.344890 | ||||||||
\(219\) | 3.41227e14 | + | 5.91022e14i | 0.209005 | + | 0.362007i | ||||
\(220\) | 2.87040e14 | − | 4.97168e14i | 0.170685 | − | 0.295635i | ||||
\(221\) | −1.35018e15 | + | 2.33858e15i | −0.779546 | + | 1.35021i | ||||
\(222\) | 4.30837e14 | + | 7.46231e14i | 0.241556 | + | 0.418388i | ||||
\(223\) | 2.69510e15 | 1.46755 | 0.733775 | − | 0.679392i | \(-0.237756\pi\) | ||||
0.733775 | + | 0.679392i | \(0.237756\pi\) | |||||||
\(224\) | −6.53070e13 | − | 3.27781e14i | −0.0345420 | − | 0.173369i | ||||
\(225\) | 4.07837e14 | 0.209556 | ||||||||
\(226\) | −5.24734e14 | − | 9.08867e14i | −0.261960 | − | 0.453728i | ||||
\(227\) | −1.55079e15 | + | 2.68604e15i | −0.752288 | + | 1.30300i | 0.194424 | + | 0.980918i | \(0.437716\pi\) |
−0.946711 | + | 0.322083i | \(0.895617\pi\) | |||||||
\(228\) | 1.21135e15 | − | 2.09812e15i | 0.571075 | − | 0.989131i | ||||
\(229\) | −3.25208e14 | − | 5.63277e14i | −0.149015 | − | 0.258102i | 0.781849 | − | 0.623468i | \(-0.214277\pi\) |
−0.930864 | + | 0.365367i | \(0.880944\pi\) | |||||||
\(230\) | −2.05502e15 | −0.915346 | ||||||||
\(231\) | 2.58523e15 | + | 8.76658e14i | 1.11949 | + | 0.379623i | ||||
\(232\) | 1.57630e14 | 0.0663691 | ||||||||
\(233\) | −1.81763e15 | − | 3.14824e15i | −0.744206 | − | 1.28900i | −0.950565 | − | 0.310526i | \(-0.899495\pi\) |
0.206359 | − | 0.978476i | \(-0.433839\pi\) | |||||||
\(234\) | −1.94222e15 | + | 3.36403e15i | −0.773385 | + | 1.33954i | ||||
\(235\) | −1.28432e15 | + | 2.22451e15i | −0.497430 | + | 0.861574i | ||||
\(236\) | 4.19796e14 | + | 7.27109e14i | 0.158165 | + | 0.273950i | ||||
\(237\) | −7.32819e15 | −2.68617 | ||||||||
\(238\) | −2.41531e15 | + | 2.11951e15i | −0.861434 | + | 0.755937i | ||||
\(239\) | 1.13012e15 | 0.392228 | 0.196114 | − | 0.980581i | \(-0.437168\pi\) | ||||
0.196114 | + | 0.980581i | \(0.437168\pi\) | |||||||
\(240\) | 6.99789e14 | + | 1.21207e15i | 0.236371 | + | 0.409407i | ||||
\(241\) | 2.08731e15 | − | 3.61533e15i | 0.686242 | − | 1.18861i | −0.286803 | − | 0.957989i | \(-0.592593\pi\) |
0.973045 | − | 0.230616i | \(-0.0740740\pi\) | |||||||
\(242\) | 6.33226e14 | − | 1.09678e15i | 0.202656 | − | 0.351010i | ||||
\(243\) | 1.80962e15 | + | 3.13435e15i | 0.563827 | + | 0.976577i | ||||
\(244\) | 2.00800e15 | 0.609157 | ||||||||
\(245\) | −3.26755e15 | + | 1.35588e15i | −0.965258 | + | 0.400535i | ||||
\(246\) | 6.64302e15 | 1.91112 | ||||||||
\(247\) | −2.16696e15 | − | 3.75328e15i | −0.607184 | − | 1.05167i | ||||
\(248\) | 4.37297e14 | − | 7.57421e14i | 0.119355 | − | 0.206729i | ||||
\(249\) | −2.37665e15 | + | 4.11647e15i | −0.631929 | + | 1.09453i | ||||
\(250\) | 1.29485e15 | + | 2.24275e15i | 0.335436 | + | 0.580993i | ||||
\(251\) | −1.57148e15 | −0.396669 | −0.198335 | − | 0.980134i | \(-0.563553\pi\) | ||||
−0.198335 | + | 0.980134i | \(0.563553\pi\) | |||||||
\(252\) | −3.47440e15 | + | 3.04890e15i | −0.854625 | + | 0.749962i | ||||
\(253\) | 3.37564e15 | 0.809231 | ||||||||
\(254\) | −1.20859e15 | − | 2.09335e15i | −0.282398 | − | 0.489127i | ||||
\(255\) | 6.72817e15 | − | 1.16535e16i | 1.53245 | − | 2.65428i | ||||
\(256\) | −1.40737e14 | + | 2.43764e14i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 2.14419e15 | + | 3.71385e15i | 0.464193 | + | 0.804006i | 0.999165 | − | 0.0408639i | \(-0.0130110\pi\) |
−0.534972 | + | 0.844870i | \(0.679678\pi\) | |||||||
\(258\) | 3.11255e15 | 0.657034 | ||||||||
\(259\) | 1.73713e15 | + | 5.89068e14i | 0.357590 | + | 0.121260i | ||||
\(260\) | 2.50368e15 | 0.502634 | ||||||||
\(261\) | −1.09005e15 | − | 1.88801e15i | −0.213443 | − | 0.369693i | ||||
\(262\) | 1.42239e15 | − | 2.46365e15i | 0.271681 | − | 0.470566i | ||||
\(263\) | 5.50898e14 | − | 9.54183e14i | 0.102650 | − | 0.177795i | −0.810126 | − | 0.586256i | \(-0.800601\pi\) |
0.912776 | + | 0.408461i | \(0.133935\pi\) | |||||||
\(264\) | −1.14949e15 | − | 1.99098e15i | −0.208969 | − | 0.361944i | ||||
\(265\) | −1.14725e15 | −0.203498 | ||||||||
\(266\) | −1.00774e15 | − | 5.05793e15i | −0.174429 | − | 0.875472i | ||||
\(267\) | −8.84394e15 | −1.49390 | ||||||||
\(268\) | −3.97544e13 | − | 6.88566e13i | −0.00655404 | − | 0.0113519i | ||||
\(269\) | 2.82176e15 | − | 4.88743e15i | 0.454077 | − | 0.786485i | −0.544557 | − | 0.838724i | \(-0.683302\pi\) |
0.998635 | + | 0.0522386i | \(0.0166356\pi\) | |||||||
\(270\) | 5.42239e15 | − | 9.39185e15i | 0.851778 | − | 1.47532i | ||||
\(271\) | −1.74448e15 | − | 3.02153e15i | −0.267526 | − | 0.463368i | 0.700697 | − | 0.713459i | \(-0.252873\pi\) |
−0.968222 | + | 0.250091i | \(0.919539\pi\) | |||||||
\(272\) | 2.70626e15 | 0.405202 | ||||||||
\(273\) | 2.32628e15 | + | 1.16758e16i | 0.340099 | + | 1.70698i | ||||
\(274\) | −7.09167e15 | −1.01244 | ||||||||
\(275\) | 2.15897e14 | + | 3.73944e14i | 0.0301012 | + | 0.0521367i | ||||
\(276\) | −4.11482e15 | + | 7.12708e15i | −0.560327 | + | 0.970515i | ||||
\(277\) | 8.95883e14 | − | 1.55172e15i | 0.119161 | − | 0.206392i | −0.800275 | − | 0.599634i | \(-0.795313\pi\) |
0.919435 | + | 0.393241i | \(0.128646\pi\) | |||||||
\(278\) | −2.82401e15 | − | 4.89132e15i | −0.366923 | − | 0.635529i | ||||
\(279\) | −1.20961e16 | −1.53538 | ||||||||
\(280\) | 2.82155e15 | + | 9.56797e14i | 0.349913 | + | 0.118657i | ||||
\(281\) | 2.57574e15 | 0.312112 | 0.156056 | − | 0.987748i | \(-0.450122\pi\) | ||||
0.156056 | + | 0.987748i | \(0.450122\pi\) | |||||||
\(282\) | 5.14325e15 | + | 8.90837e15i | 0.609001 | + | 1.05482i | ||||
\(283\) | −7.20836e15 | + | 1.24852e16i | −0.834112 | + | 1.44472i | 0.0606394 | + | 0.998160i | \(0.480686\pi\) |
−0.894751 | + | 0.446565i | \(0.852647\pi\) | |||||||
\(284\) | −2.27839e15 | + | 3.94629e15i | −0.257667 | + | 0.446292i | ||||
\(285\) | 1.07983e16 | + | 1.87032e16i | 1.19362 | + | 2.06740i | ||||
\(286\) | −4.11261e15 | −0.444364 | ||||||||
\(287\) | 1.06291e16 | − | 9.32741e15i | 1.12270 | − | 0.985210i | ||||
\(288\) | 3.89293e15 | 0.401999 | ||||||||
\(289\) | −8.05747e15 | − | 1.39559e16i | −0.813509 | − | 1.40904i | ||||
\(290\) | −7.02577e14 | + | 1.21690e15i | −0.0693597 | + | 0.120134i | ||||
\(291\) | 1.62413e16 | − | 2.81307e16i | 1.56789 | − | 2.71567i | ||||
\(292\) | −6.11747e14 | − | 1.05958e15i | −0.0577542 | − | 0.100033i | ||||
\(293\) | 5.01501e15 | 0.463055 | 0.231527 | − | 0.972828i | \(-0.425628\pi\) | ||||
0.231527 | + | 0.972828i | \(0.425628\pi\) | |||||||
\(294\) | −1.84035e15 | + | 1.40472e16i | −0.166204 | + | 1.26862i | ||||
\(295\) | −7.48437e15 | −0.661168 | ||||||||
\(296\) | −7.72399e14 | − | 1.33783e15i | −0.0667491 | − | 0.115613i | ||||
\(297\) | −8.90698e15 | + | 1.54273e16i | −0.753032 | + | 1.30429i | ||||
\(298\) | −4.07638e15 | + | 7.06049e15i | −0.337185 | + | 0.584022i | ||||
\(299\) | 7.36092e15 | + | 1.27495e16i | 0.595757 | + | 1.03188i | ||||
\(300\) | −1.05269e15 | −0.0833705 | ||||||||
\(301\) | 4.98021e15 | − | 4.37030e15i | 0.385981 | − | 0.338711i | ||||
\(302\) | 6.13685e15 | 0.465479 | ||||||||
\(303\) | 1.19936e16 | + | 2.07735e16i | 0.890373 | + | 1.54217i | ||||
\(304\) | −2.17169e15 | + | 3.76149e15i | −0.157805 | + | 0.273326i | ||||
\(305\) | −8.94993e15 | + | 1.55017e16i | −0.636606 | + | 1.10263i | ||||
\(306\) | −1.87144e16 | − | 3.24143e16i | −1.30313 | − | 2.25708i | ||||
\(307\) | −1.74053e16 | −1.18654 | −0.593271 | − | 0.805003i | \(-0.702164\pi\) | ||||
−0.593271 | + | 0.805003i | \(0.702164\pi\) | |||||||
\(308\) | −4.63476e15 | − | 1.57166e15i | −0.309348 | − | 0.104901i | ||||
\(309\) | −2.55829e16 | −1.67193 | ||||||||
\(310\) | 3.89819e15 | + | 6.75187e15i | 0.249467 | + | 0.432089i | ||||
\(311\) | 1.21253e15 | − | 2.10016e15i | 0.0759886 | − | 0.131616i | −0.825527 | − | 0.564362i | \(-0.809122\pi\) |
0.901516 | + | 0.432746i | \(0.142455\pi\) | |||||||
\(312\) | 5.01317e15 | − | 8.68307e15i | 0.307686 | − | 0.532928i | ||||
\(313\) | −9.15997e15 | − | 1.58655e16i | −0.550625 | − | 0.953711i | −0.998230 | − | 0.0594791i | \(-0.981056\pi\) |
0.447604 | − | 0.894232i | \(-0.352277\pi\) | |||||||
\(314\) | −1.88596e16 | −1.11042 | ||||||||
\(315\) | −8.05162e15 | − | 4.04117e16i | −0.464370 | − | 2.33071i | ||||
\(316\) | 1.31379e16 | 0.742267 | ||||||||
\(317\) | 2.39436e15 | + | 4.14716e15i | 0.132527 | + | 0.229544i | 0.924650 | − | 0.380818i | \(-0.124358\pi\) |
−0.792123 | + | 0.610362i | \(0.791024\pi\) | |||||||
\(318\) | −2.29717e15 | + | 3.97881e15i | −0.124571 | + | 0.215763i | ||||
\(319\) | 1.15407e15 | − | 1.99892e15i | 0.0613189 | − | 0.106207i | ||||
\(320\) | −1.25457e15 | − | 2.17299e15i | −0.0653163 | − | 0.113131i | ||||
\(321\) | 5.30320e16 | 2.70555 | ||||||||
\(322\) | 3.42318e15 | + | 1.71812e16i | 0.171146 | + | 0.858995i | ||||
\(323\) | 4.17598e16 | 2.04617 | ||||||||
\(324\) | −9.87665e15 | − | 1.71069e16i | −0.474315 | − | 0.821538i | ||||
\(325\) | −9.41568e14 | + | 1.63084e15i | −0.0443210 | + | 0.0767663i | ||||
\(326\) | 1.13337e15 | − | 1.96305e15i | 0.0522945 | − | 0.0905768i | ||||
\(327\) | 9.75594e15 | + | 1.68978e16i | 0.441275 | + | 0.764310i | ||||
\(328\) | −1.19095e16 | −0.528098 | ||||||||
\(329\) | 2.07376e16 | + | 7.03218e15i | 0.901540 | + | 0.305715i | ||||
\(330\) | 2.04938e16 | 0.873540 | ||||||||
\(331\) | 7.00632e15 | + | 1.21353e16i | 0.292825 | + | 0.507187i | 0.974477 | − | 0.224489i | \(-0.0720714\pi\) |
−0.681652 | + | 0.731677i | \(0.738738\pi\) | |||||||
\(332\) | 4.26082e15 | − | 7.37996e15i | 0.174621 | − | 0.302452i | ||||
\(333\) | −1.06826e16 | + | 1.85029e16i | −0.429330 | + | 0.743621i | ||||
\(334\) | −5.88802e15 | − | 1.01983e16i | −0.232069 | − | 0.401955i | ||||
\(335\) | 7.08764e14 | 0.0273975 | ||||||||
\(336\) | 8.96796e15 | − | 7.86968e15i | 0.340007 | − | 0.298368i | ||||
\(337\) | −5.03253e16 | −1.87151 | −0.935755 | − | 0.352650i | \(-0.885281\pi\) | ||||
−0.935755 | + | 0.352650i | \(0.885281\pi\) | |||||||
\(338\) | 7.24040e14 | + | 1.25407e15i | 0.0264122 | + | 0.0457472i | ||||
\(339\) | 1.87323e16 | − | 3.24452e16i | 0.670336 | − | 1.16106i | ||||
\(340\) | −1.20622e16 | + | 2.08923e16i | −0.423461 | + | 0.733455i | ||||
\(341\) | −6.40329e15 | − | 1.10908e16i | −0.220546 | − | 0.381997i | ||||
\(342\) | 6.00711e16 | 2.03000 | ||||||||
\(343\) | 1.67789e16 | + | 2.50602e16i | 0.556356 | + | 0.830944i | ||||
\(344\) | −5.58014e15 | −0.181558 | ||||||||
\(345\) | −3.66807e16 | − | 6.35328e16i | −1.17115 | − | 2.02849i | ||||
\(346\) | −2.08029e15 | + | 3.60317e15i | −0.0651823 | + | 0.112899i | ||||
\(347\) | −5.30620e15 | + | 9.19060e15i | −0.163171 | + | 0.282620i | −0.936004 | − | 0.351989i | \(-0.885505\pi\) |
0.772834 | + | 0.634609i | \(0.218839\pi\) | |||||||
\(348\) | 2.81358e15 | + | 4.87326e15i | 0.0849168 | + | 0.147080i | ||||
\(349\) | 1.98547e16 | 0.588163 | 0.294082 | − | 0.955780i | \(-0.404986\pi\) | ||||
0.294082 | + | 0.955780i | \(0.404986\pi\) | |||||||
\(350\) | −1.68435e15 | + | 1.47807e15i | −0.0489768 | + | 0.0429788i | ||||
\(351\) | −7.76902e16 | −2.21753 | ||||||||
\(352\) | 2.06080e15 | + | 3.56941e15i | 0.0577442 | + | 0.100016i | ||||
\(353\) | 1.07656e15 | − | 1.86465e15i | 0.0296143 | − | 0.0512935i | −0.850838 | − | 0.525427i | \(-0.823905\pi\) |
0.880453 | + | 0.474134i | \(0.157239\pi\) | |||||||
\(354\) | −1.49861e16 | + | 2.59567e16i | −0.404733 | + | 0.701018i | ||||
\(355\) | −2.03102e16 | − | 3.51783e16i | −0.538555 | − | 0.932805i | ||||
\(356\) | 1.58553e16 | 0.412810 | ||||||||
\(357\) | −1.08638e17 | − | 3.68395e16i | −2.77740 | − | 0.941826i | ||||
\(358\) | 1.67994e16 | 0.421748 | ||||||||
\(359\) | 2.00877e16 | + | 3.47929e16i | 0.495240 | + | 0.857780i | 0.999985 | − | 0.00548800i | \(-0.00174689\pi\) |
−0.504745 | + | 0.863268i | \(0.668414\pi\) | |||||||
\(360\) | −1.73513e16 | + | 3.00534e16i | −0.420114 | + | 0.727658i | ||||
\(361\) | −1.24845e16 | + | 2.16238e16i | −0.296876 | + | 0.514205i | ||||
\(362\) | −1.31147e16 | − | 2.27152e16i | −0.306303 | − | 0.530532i | ||||
\(363\) | 4.52106e16 | 1.03716 | ||||||||
\(364\) | −4.17054e15 | − | 2.09322e16i | −0.0939794 | − | 0.471690i | ||||
\(365\) | 1.09066e16 | 0.241426 | ||||||||
\(366\) | 3.58413e16 | + | 6.20790e16i | 0.779394 | + | 1.34995i | ||||
\(367\) | 9.34576e15 | − | 1.61873e16i | 0.199657 | − | 0.345817i | −0.748760 | − | 0.662841i | \(-0.769350\pi\) |
0.948417 | + | 0.317025i | \(0.102684\pi\) | |||||||
\(368\) | 7.37700e15 | − | 1.27773e16i | 0.154835 | − | 0.268182i | ||||
\(369\) | 8.23571e16 | + | 1.42647e17i | 1.69836 | + | 2.94165i | ||||
\(370\) | 1.37708e16 | 0.279027 | ||||||||
\(371\) | 1.91105e15 | + | 9.59170e15i | 0.0380488 | + | 0.190970i | ||||
\(372\) | 3.12218e16 | 0.610842 | ||||||||
\(373\) | −1.39042e16 | − | 2.40829e16i | −0.267325 | − | 0.463021i | 0.700845 | − | 0.713314i | \(-0.252806\pi\) |
−0.968170 | + | 0.250293i | \(0.919473\pi\) | |||||||
\(374\) | 1.98137e16 | − | 3.43183e16i | 0.374369 | − | 0.648427i | ||||
\(375\) | −4.62244e16 | + | 8.00630e16i | −0.858357 | + | 1.48672i | ||||
\(376\) | −9.22075e15 | − | 1.59708e16i | −0.168285 | − | 0.291478i | ||||
\(377\) | 1.00663e16 | 0.180572 | ||||||||
\(378\) | −8.75540e16 | − | 2.96898e16i | −1.54376 | − | 0.523493i | ||||
\(379\) | 5.13829e15 | 0.0890562 | 0.0445281 | − | 0.999008i | \(-0.485822\pi\) | ||||
0.0445281 | + | 0.999008i | \(0.485822\pi\) | |||||||
\(380\) | −1.93591e16 | − | 3.35309e16i | −0.329831 | − | 0.571284i | ||||
\(381\) | 4.31451e16 | − | 7.47295e16i | 0.722635 | − | 1.25164i | ||||
\(382\) | −2.08318e15 | + | 3.60818e15i | −0.0343017 | + | 0.0594122i | ||||
\(383\) | −3.54517e16 | − | 6.14041e16i | −0.573911 | − | 0.994044i | −0.996159 | − | 0.0875631i | \(-0.972092\pi\) |
0.422248 | − | 0.906481i | \(-0.361241\pi\) | |||||||
\(384\) | −1.00483e16 | −0.159933 | ||||||||
\(385\) | 3.27910e16 | − | 2.87752e16i | 0.513169 | − | 0.450323i | ||||
\(386\) | −2.07742e16 | −0.319674 | ||||||||
\(387\) | 3.85880e16 | + | 6.68363e16i | 0.583889 | + | 1.01133i | ||||
\(388\) | −2.91172e16 | + | 5.04324e16i | −0.433254 | + | 0.750419i | ||||
\(389\) | −4.07444e16 | + | 7.05713e16i | −0.596205 | + | 1.03266i | 0.397171 | + | 0.917745i | \(0.369992\pi\) |
−0.993376 | + | 0.114912i | \(0.963341\pi\) | |||||||
\(390\) | 4.46889e16 | + | 7.74034e16i | 0.643101 | + | 1.11388i | ||||
\(391\) | −1.41853e17 | −2.00766 | ||||||||
\(392\) | 3.29936e15 | − | 2.51837e16i | 0.0459272 | − | 0.350558i | ||||
\(393\) | 1.01555e17 | 1.39043 | ||||||||
\(394\) | −2.84268e16 | − | 4.92367e16i | −0.382827 | − | 0.663076i | ||||
\(395\) | −5.85575e16 | + | 1.01425e17i | −0.775713 | + | 1.34357i | ||||
\(396\) | 2.85018e16 | − | 4.93666e16i | 0.371410 | − | 0.643302i | ||||
\(397\) | −6.29534e16 | − | 1.09039e17i | −0.807014 | − | 1.39779i | −0.914923 | − | 0.403628i | \(-0.867749\pi\) |
0.107909 | − | 0.994161i | \(-0.465584\pi\) | |||||||
\(398\) | −1.00413e16 | −0.126633 | ||||||||
\(399\) | 1.38383e17 | − | 1.21436e17i | 1.71695 | − | 1.50668i | ||||
\(400\) | 1.88725e15 | 0.0230377 | ||||||||
\(401\) | 3.44516e16 | + | 5.96719e16i | 0.413781 | + | 0.716691i | 0.995300 | − | 0.0968428i | \(-0.0308744\pi\) |
−0.581518 | + | 0.813533i | \(0.697541\pi\) | |||||||
\(402\) | 1.41918e15 | − | 2.45808e15i | 0.0167713 | − | 0.0290487i | ||||
\(403\) | 2.79260e16 | − | 4.83693e16i | 0.324733 | − | 0.562454i | ||||
\(404\) | −2.15020e16 | − | 3.72425e16i | −0.246036 | − | 0.426147i | ||||
\(405\) | 1.76086e17 | 1.98275 | ||||||||
\(406\) | 1.13443e16 | + | 3.84690e15i | 0.125707 | + | 0.0426277i | ||||
\(407\) | −2.26203e16 | −0.246680 | ||||||||
\(408\) | 4.83048e16 | + | 8.36664e16i | 0.518441 | + | 0.897966i | ||||
\(409\) | 4.70235e16 | − | 8.14471e16i | 0.496722 | − | 0.860348i | −0.503271 | − | 0.864129i | \(-0.667870\pi\) |
0.999993 | + | 0.00378092i | \(0.00120351\pi\) | |||||||
\(410\) | 5.30824e16 | − | 9.19415e16i | 0.551894 | − | 0.955909i | ||||
\(411\) | −1.26581e17 | − | 2.19245e17i | −1.29538 | − | 2.24367i | ||||
\(412\) | 4.58647e16 | 0.462005 | ||||||||
\(413\) | 1.24672e16 | + | 6.25738e16i | 0.123621 | + | 0.620465i | ||||
\(414\) | −2.04055e17 | −1.99179 | ||||||||
\(415\) | 3.79822e16 | + | 6.57870e16i | 0.364978 | + | 0.632161i | ||||
\(416\) | −8.98756e15 | + | 1.55669e16i | −0.0850228 | + | 0.147264i | ||||
\(417\) | 1.00813e17 | − | 1.74613e17i | 0.938928 | − | 1.62627i | ||||
\(418\) | 3.17998e16 | + | 5.50789e16i | 0.291594 | + | 0.505056i | ||||
\(419\) | −7.38113e16 | −0.666395 | −0.333198 | − | 0.942857i | \(-0.608128\pi\) | ||||
−0.333198 | + | 0.942857i | \(0.608128\pi\) | |||||||
\(420\) | 2.07825e16 | + | 1.04309e17i | 0.184747 | + | 0.927259i | ||||
\(421\) | 1.83025e17 | 1.60205 | 0.801026 | − | 0.598630i | \(-0.204288\pi\) | ||||
0.801026 | + | 0.598630i | \(0.204288\pi\) | |||||||
\(422\) | 1.08123e16 | + | 1.87275e16i | 0.0931942 | + | 0.161417i | ||||
\(423\) | −1.27527e17 | + | 2.20884e17i | −1.08241 | + | 1.87478i | ||||
\(424\) | 4.11833e15 | − | 7.13316e15i | 0.0344226 | − | 0.0596216i | ||||
\(425\) | −9.07255e15 | − | 1.57141e16i | −0.0746795 | − | 0.129349i | ||||
\(426\) | −1.62671e17 | −1.31870 | ||||||||
\(427\) | 1.44512e17 | + | 4.90046e16i | 1.15378 | + | 0.391251i | ||||
\(428\) | −9.50751e16 | −0.747622 | ||||||||
\(429\) | −7.34072e16 | − | 1.27145e17i | −0.568547 | − | 0.984753i | ||||
\(430\) | 2.48715e16 | − | 4.30786e16i | 0.189739 | − | 0.328637i | ||||
\(431\) | −1.29050e17 | + | 2.23521e17i | −0.969739 | + | 1.67964i | −0.273435 | + | 0.961891i | \(0.588160\pi\) |
−0.696304 | + | 0.717747i | \(0.745174\pi\) | |||||||
\(432\) | 3.89300e16 | + | 6.74287e16i | 0.288164 | + | 0.499115i | ||||
\(433\) | −6.73189e16 | −0.490869 | −0.245435 | − | 0.969413i | \(-0.578931\pi\) | ||||
−0.245435 | + | 0.969413i | \(0.578931\pi\) | |||||||
\(434\) | 4.99562e16 | − | 4.38383e16i | 0.358845 | − | 0.314898i | ||||
\(435\) | −5.01620e16 | −0.354973 | ||||||||
\(436\) | −1.74903e16 | − | 3.02942e16i | −0.121937 | − | 0.211201i | ||||
\(437\) | 1.13833e17 | − | 1.97165e17i | 0.781879 | − | 1.35425i | ||||
\(438\) | 2.18385e16 | − | 3.78254e16i | 0.147789 | − | 0.255978i | ||||
\(439\) | 1.30115e17 | + | 2.25366e17i | 0.867577 | + | 1.50269i | 0.864466 | + | 0.502692i | \(0.167657\pi\) |
0.00311079 | + | 0.999995i | \(0.499010\pi\) | |||||||
\(440\) | −3.67411e16 | −0.241385 | ||||||||
\(441\) | −3.24454e17 | + | 1.34633e17i | −2.10040 | + | 0.871565i | ||||
\(442\) | 1.72823e17 | 1.10244 | ||||||||
\(443\) | 9.05469e16 | + | 1.56832e17i | 0.569179 | + | 0.985848i | 0.996647 | + | 0.0818172i | \(0.0260724\pi\) |
−0.427468 | + | 0.904031i | \(0.640594\pi\) | |||||||
\(444\) | 2.75736e16 | − | 4.77588e16i | 0.170806 | − | 0.295845i | ||||
\(445\) | −7.06694e16 | + | 1.22403e17i | −0.431411 | + | 0.747226i | ||||
\(446\) | −8.62432e16 | − | 1.49378e17i | −0.518858 | − | 0.898688i | ||||
\(447\) | −2.91042e17 | −1.72566 | ||||||||
\(448\) | −1.60776e16 | + | 1.41087e16i | −0.0939540 | + | 0.0824478i | ||||
\(449\) | −1.16257e17 | −0.669603 | −0.334801 | − | 0.942289i | \(-0.608669\pi\) | ||||
−0.334801 | + | 0.942289i | \(0.608669\pi\) | |||||||
\(450\) | −1.30508e16 | − | 2.26046e16i | −0.0740892 | − | 0.128326i | ||||
\(451\) | −8.71948e16 | + | 1.51026e17i | −0.487914 | + | 0.845091i | ||||
\(452\) | −3.35830e16 | + | 5.81675e16i | −0.185234 | + | 0.320834i | ||||
\(453\) | 1.09538e17 | + | 1.89726e17i | 0.595564 | + | 1.03155i | ||||
\(454\) | 1.98501e17 | 1.06390 | ||||||||
\(455\) | 1.80186e17 | + | 6.11015e16i | 0.952019 | + | 0.322833i | ||||
\(456\) | −1.55053e17 | −0.807622 | ||||||||
\(457\) | −8.21676e16 | − | 1.42318e17i | −0.421935 | − | 0.730812i | 0.574194 | − | 0.818719i | \(-0.305315\pi\) |
−0.996129 | + | 0.0879072i | \(0.971982\pi\) | |||||||
\(458\) | −2.08133e16 | + | 3.60497e16i | −0.105370 | + | 0.182506i | ||||
\(459\) | 3.74295e17 | − | 6.48298e17i | 1.86824 | − | 3.23588i | ||||
\(460\) | 6.57607e16 | + | 1.13901e17i | 0.323624 | + | 0.560533i | ||||
\(461\) | 1.27102e17 | 0.616732 | 0.308366 | − | 0.951268i | \(-0.400218\pi\) | ||||
0.308366 | + | 0.951268i | \(0.400218\pi\) | |||||||
\(462\) | −3.41379e16 | − | 1.71341e17i | −0.163329 | − | 0.819763i | ||||
\(463\) | 1.15615e17 | 0.545427 | 0.272714 | − | 0.962095i | \(-0.412079\pi\) | ||||
0.272714 | + | 0.962095i | \(0.412079\pi\) | |||||||
\(464\) | −5.04415e15 | − | 8.73672e15i | −0.0234650 | − | 0.0406426i | ||||
\(465\) | −1.39160e17 | + | 2.41032e17i | −0.638367 | + | 1.10568i | ||||
\(466\) | −1.16329e17 | + | 2.01487e17i | −0.526233 | + | 0.911462i | ||||
\(467\) | −5.06977e16 | − | 8.78109e16i | −0.226166 | − | 0.391732i | 0.730502 | − | 0.682910i | \(-0.239286\pi\) |
−0.956669 | + | 0.291178i | \(0.905953\pi\) | |||||||
\(468\) | 2.48604e17 | 1.09373 | ||||||||
\(469\) | −1.18063e15 | − | 5.92569e15i | −0.00512262 | − | 0.0257108i | ||||
\(470\) | 1.64393e17 | 0.703472 | ||||||||
\(471\) | −3.36630e17 | − | 5.83060e17i | −1.42075 | − | 2.46081i | ||||
\(472\) | 2.68670e16 | − | 4.65350e16i | 0.111840 | − | 0.193712i | ||||
\(473\) | −4.08546e16 | + | 7.07623e16i | −0.167743 | + | 0.290539i | ||||
\(474\) | 2.34502e17 | + | 4.06170e17i | 0.949703 | + | 1.64493i | ||||
\(475\) | 2.91218e16 | 0.116335 | ||||||||
\(476\) | 1.94765e17 | + | 6.60454e16i | 0.767478 | + | 0.260254i | ||||
\(477\) | −1.13917e17 | −0.442811 | ||||||||
\(478\) | −3.61639e16 | − | 6.26377e16i | −0.138674 | − | 0.240190i | ||||
\(479\) | 1.37053e17 | − | 2.37383e17i | 0.518451 | − | 0.897983i | −0.481319 | − | 0.876545i | \(-0.659842\pi\) |
0.999770 | − | 0.0214381i | \(-0.00682447\pi\) | |||||||
\(480\) | 4.47865e16 | − | 7.75725e16i | 0.167140 | − | 0.289494i | ||||
\(481\) | −4.93258e16 | − | 8.54347e16i | −0.181606 | − | 0.314551i | ||||
\(482\) | −2.67176e17 | −0.970492 | ||||||||
\(483\) | −4.70071e17 | + | 4.12503e17i | −1.68464 | + | 1.47833i | ||||
\(484\) | −8.10530e16 | −0.286599 | ||||||||
\(485\) | −2.59559e17 | − | 4.49569e17i | −0.905554 | − | 1.56847i | ||||
\(486\) | 1.15816e17 | − | 2.00598e17i | 0.398686 | − | 0.690544i | ||||
\(487\) | 1.58958e17 | − | 2.75324e17i | 0.539939 | − | 0.935202i | −0.458968 | − | 0.888453i | \(-0.651781\pi\) |
0.998907 | − | 0.0467486i | \(-0.0148860\pi\) | |||||||
\(488\) | −6.42559e16 | − | 1.11294e17i | −0.215369 | − | 0.373031i | ||||
\(489\) | 8.09192e16 | 0.267636 | ||||||||
\(490\) | 1.79712e17 | + | 1.37718e17i | 0.586547 | + | 0.449487i | ||||
\(491\) | 2.94376e17 | 0.948140 | 0.474070 | − | 0.880487i | \(-0.342784\pi\) | ||||
0.474070 | + | 0.880487i | \(0.342784\pi\) | |||||||
\(492\) | −2.12577e17 | − | 3.68194e17i | −0.675682 | − | 1.17032i | ||||
\(493\) | −4.84973e16 | + | 8.39997e16i | −0.152129 | + | 0.263495i | ||||
\(494\) | −1.38685e17 | + | 2.40210e17i | −0.429344 | + | 0.743646i | ||||
\(495\) | 2.54073e17 | + | 4.40068e17i | 0.776292 | + | 1.34458i | ||||
\(496\) | −5.59741e16 | −0.168794 | ||||||||
\(497\) | −2.60280e17 | + | 2.28404e17i | −0.774683 | + | 0.679811i | ||||
\(498\) | 3.04211e17 | 0.893683 | ||||||||
\(499\) | 2.67698e17 | + | 4.63666e17i | 0.776232 | + | 1.34447i | 0.934100 | + | 0.357012i | \(0.116205\pi\) |
−0.157868 | + | 0.987460i | \(0.550462\pi\) | |||||||
\(500\) | 8.28705e16 | − | 1.43536e17i | 0.237189 | − | 0.410824i | ||||
\(501\) | 2.10194e17 | − | 3.64066e17i | 0.593847 | − | 1.02857i | ||||
\(502\) | 5.02872e16 | + | 8.71000e16i | 0.140244 | + | 0.242909i | ||||
\(503\) | 3.35892e17 | 0.924716 | 0.462358 | − | 0.886693i | \(-0.347004\pi\) | ||||
0.462358 | + | 0.886693i | \(0.347004\pi\) | |||||||
\(504\) | 2.80168e17 | + | 9.50058e16i | 0.761412 | + | 0.258197i | ||||
\(505\) | 3.83349e17 | 1.02849 | ||||||||
\(506\) | −1.08020e17 | − | 1.87097e17i | −0.286106 | − | 0.495551i | ||||
\(507\) | −2.58472e16 | + | 4.47687e16i | −0.0675868 | + | 0.117064i | ||||
\(508\) | −7.73500e16 | + | 1.33974e17i | −0.199685 | + | 0.345865i | ||||
\(509\) | −1.76717e17 | − | 3.06083e17i | −0.450415 | − | 0.780142i | 0.547996 | − | 0.836481i | \(-0.315391\pi\) |
−0.998412 | + | 0.0563384i | \(0.982057\pi\) | |||||||
\(510\) | −8.61206e17 | −2.16721 | ||||||||
\(511\) | −1.81678e16 | − | 9.11855e16i | −0.0451405 | − | 0.226564i | ||||
\(512\) | 1.80144e16 | 0.0441942 | ||||||||
\(513\) | 6.00722e17 | + | 1.04048e18i | 1.45516 | + | 2.52041i | ||||
\(514\) | 1.37228e17 | − | 2.37687e17i | 0.328234 | − | 0.568518i | ||||
\(515\) | −2.04425e17 | + | 3.54075e17i | −0.482823 | + | 0.836273i | ||||
\(516\) | −9.96015e16 | − | 1.72515e17i | −0.232297 | − | 0.402350i | ||||
\(517\) | −2.70037e17 | −0.621919 | ||||||||
\(518\) | −2.29389e16 | − | 1.15132e17i | −0.0521709 | − | 0.261850i | ||||
\(519\) | −1.48527e17 | −0.333593 | ||||||||
\(520\) | −8.01177e16 | − | 1.38768e17i | −0.177708 | − | 0.307799i | ||||
\(521\) | 1.53433e17 | − | 2.65755e17i | 0.336105 | − | 0.582151i | −0.647592 | − | 0.761988i | \(-0.724224\pi\) |
0.983696 | + | 0.179837i | \(0.0575570\pi\) | |||||||
\(522\) | −6.97629e16 | + | 1.20833e17i | −0.150927 | + | 0.261413i | ||||
\(523\) | −3.42843e17 | − | 5.93821e17i | −0.732544 | − | 1.26880i | −0.955792 | − | 0.294042i | \(-0.904999\pi\) |
0.223248 | − | 0.974762i | \(-0.428334\pi\) | |||||||
\(524\) | −1.82066e17 | −0.384216 | ||||||||
\(525\) | −7.57604e16 | − | 2.56906e16i | −0.157909 | − | 0.0535474i | ||||
\(526\) | −7.05150e16 | −0.145169 | ||||||||
\(527\) | 2.69083e17 | + | 4.66066e17i | 0.547164 | + | 0.947716i | ||||
\(528\) | −7.35676e16 | + | 1.27423e17i | −0.147763 | + | 0.255933i | ||||
\(529\) | −1.34660e17 | + | 2.33238e17i | −0.267164 | + | 0.462741i | ||||
\(530\) | 3.67120e16 | + | 6.35870e16i | 0.0719473 | + | 0.124616i | ||||
\(531\) | −7.43165e17 | −1.43870 | ||||||||
\(532\) | −2.48091e17 | + | 2.17708e17i | −0.474445 | + | 0.416341i | ||||
\(533\) | −7.60548e17 | −1.43681 | ||||||||
\(534\) | 2.83006e17 | + | 4.90181e17i | 0.528175 | + | 0.914826i | ||||
\(535\) | 4.23763e17 | − | 7.33979e17i | 0.781311 | − | 1.35327i | ||||
\(536\) | −2.54428e15 | + | 4.40682e15i | −0.00463441 | + | 0.00802703i | ||||
\(537\) | 2.99857e17 | + | 5.19367e17i | 0.539611 | + | 0.934634i | ||||
\(538\) | −3.61185e17 | −0.642162 | ||||||||
\(539\) | −2.95200e17 | − | 2.26220e17i | −0.518549 | − | 0.397378i | ||||
\(540\) | −6.94066e17 | −1.20460 | ||||||||
\(541\) | −1.64739e17 | − | 2.85336e17i | −0.282497 | − | 0.489299i | 0.689502 | − | 0.724284i | \(-0.257829\pi\) |
−0.971999 | + | 0.234985i | \(0.924496\pi\) | |||||||
\(542\) | −1.11647e17 | + | 1.93378e17i | −0.189169 | + | 0.327651i | ||||
\(543\) | 4.68174e17 | − | 8.10902e17i | 0.783806 | − | 1.35759i | ||||
\(544\) | −8.66003e16 | − | 1.49996e17i | −0.143261 | − | 0.248135i | ||||
\(545\) | 3.11828e17 | 0.509727 | ||||||||
\(546\) | 5.72698e17 | − | 5.02562e17i | 0.925067 | − | 0.811778i | ||||
\(547\) | 7.07530e17 | 1.12935 | 0.564673 | − | 0.825315i | \(-0.309002\pi\) | ||||
0.564673 | + | 0.825315i | \(0.309002\pi\) | |||||||
\(548\) | 2.26933e17 | + | 3.93060e17i | 0.357952 | + | 0.619991i | ||||
\(549\) | −8.88689e17 | + | 1.53925e18i | −1.38525 | + | 2.39933i | ||||
\(550\) | 1.38174e16 | − | 2.39324e16i | 0.0212847 | − | 0.0368662i | ||||
\(551\) | −7.78353e16 | − | 1.34815e17i | −0.118493 | − | 0.205235i | ||||
\(552\) | 5.26697e17 | 0.792423 | ||||||||
\(553\) | 9.45513e17 | + | 3.20626e17i | 1.40590 | + | 0.476745i | ||||
\(554\) | −1.14673e17 | −0.168519 | ||||||||
\(555\) | 2.45798e17 | + | 4.25735e17i | 0.357005 | + | 0.618351i | ||||
\(556\) | −1.80736e17 | + | 3.13045e17i | −0.259454 | + | 0.449387i | ||||
\(557\) | 4.14052e17 | − | 7.17159e17i | 0.587484 | − | 1.01755i | −0.407077 | − | 0.913394i | \(-0.633452\pi\) |
0.994561 | − | 0.104158i | \(-0.0332147\pi\) | |||||||
\(558\) | 3.87074e17 | + | 6.70431e17i | 0.542839 | + | 0.940225i | ||||
\(559\) | −3.56350e17 | −0.493970 | ||||||||
\(560\) | −3.72586e16 | − | 1.87004e17i | −0.0510510 | − | 0.256229i | ||||
\(561\) | 1.41464e18 | 1.91597 | ||||||||
\(562\) | −8.24237e16 | − | 1.42762e17i | −0.110348 | − | 0.191129i | ||||
\(563\) | −4.96156e17 | + | 8.59368e17i | −0.656620 | + | 1.13730i | 0.324865 | + | 0.945760i | \(0.394681\pi\) |
−0.981485 | + | 0.191538i | \(0.938652\pi\) | |||||||
\(564\) | 3.29168e17 | − | 5.70135e17i | 0.430629 | − | 0.745871i | ||||
\(565\) | −2.99368e17 | − | 5.18521e17i | −0.387160 | − | 0.670582i | ||||
\(566\) | 9.22670e17 | 1.17961 | ||||||||
\(567\) | −2.93319e17 | − | 1.47219e18i | −0.370723 | − | 1.86069i | ||||
\(568\) | 2.91634e17 | 0.364396 | ||||||||
\(569\) | −2.58716e17 | − | 4.48110e17i | −0.319590 | − | 0.553547i | 0.660812 | − | 0.750551i | \(-0.270212\pi\) |
−0.980403 | + | 0.197004i | \(0.936879\pi\) | |||||||
\(570\) | 6.91092e17 | − | 1.19701e18i | 0.844014 | − | 1.46187i | ||||
\(571\) | 9.51050e16 | − | 1.64727e17i | 0.114834 | − | 0.198898i | −0.802880 | − | 0.596141i | \(-0.796700\pi\) |
0.917713 | + | 0.397244i | \(0.130033\pi\) | |||||||
\(572\) | 1.31604e17 | + | 2.27944e17i | 0.157106 | + | 0.272116i | ||||
\(573\) | −1.48733e17 | −0.175551 | ||||||||
\(574\) | −8.57109e17 | − | 2.90648e17i | −1.00025 | − | 0.339188i | ||||
\(575\) | −9.89236e16 | −0.114145 | ||||||||
\(576\) | −1.24574e17 | − | 2.15768e17i | −0.142128 | − | 0.246173i | ||||
\(577\) | −6.30548e16 | + | 1.09214e17i | −0.0711337 | + | 0.123207i | −0.899398 | − | 0.437130i | \(-0.855995\pi\) |
0.828265 | + | 0.560337i | \(0.189328\pi\) | |||||||
\(578\) | −5.15678e17 | + | 8.93180e17i | −0.575238 | + | 0.996341i | ||||
\(579\) | −3.70805e17 | − | 6.42254e17i | −0.409011 | − | 0.708428i | ||||
\(580\) | 8.99299e16 | 0.0980894 | ||||||||
\(581\) | 4.86750e17 | − | 4.27140e17i | 0.525002 | − | 0.460707i | ||||
\(582\) | −2.07888e18 | −2.21733 | ||||||||
\(583\) | −6.03042e16 | − | 1.04450e17i | −0.0636065 | − | 0.110170i | ||||
\(584\) | −3.91518e16 | + | 6.78129e16i | −0.0408384 | + | 0.0707341i | ||||
\(585\) | −1.10806e18 | + | 1.91922e18i | −1.14301 | + | 1.97976i | ||||
\(586\) | −1.60480e17 | − | 2.77960e17i | −0.163715 | − | 0.283562i | ||||
\(587\) | 1.15869e18 | 1.16902 | 0.584508 | − | 0.811388i | \(-0.301288\pi\) | ||||
0.584508 | + | 0.811388i | \(0.301288\pi\) | |||||||
\(588\) | 8.37466e17 | − | 3.47508e17i | 0.835631 | − | 0.346747i | ||||
\(589\) | −8.63726e17 | −0.852367 | ||||||||
\(590\) | 2.39500e17 | + | 4.14826e17i | 0.233758 | + | 0.404881i | ||||
\(591\) | 1.01480e18 | − | 1.75768e18i | 0.979626 | − | 1.69676i | ||||
\(592\) | −4.94335e16 | + | 8.56214e16i | −0.0471988 | + | 0.0817507i | ||||
\(593\) | −7.70638e16 | − | 1.33478e17i | −0.0727771 | − | 0.126054i | 0.827340 | − | 0.561701i | \(-0.189853\pi\) |
−0.900117 | + | 0.435647i | \(0.856520\pi\) | |||||||
\(594\) | 1.14009e18 | 1.06495 | ||||||||
\(595\) | −1.37797e18 | + | 1.20921e18i | −1.27315 | + | 1.11723i | ||||
\(596\) | 5.21776e17 | 0.476852 | ||||||||
\(597\) | −1.79229e17 | − | 3.10434e17i | −0.162023 | − | 0.280632i | ||||
\(598\) | 4.71099e17 | − | 8.15967e17i | 0.421264 | − | 0.729650i | ||||
\(599\) | −7.16824e17 | + | 1.24158e18i | −0.634071 | + | 1.09824i | 0.352640 | + | 0.935759i | \(0.385284\pi\) |
−0.986711 | + | 0.162485i | \(0.948049\pi\) | |||||||
\(600\) | 3.36861e16 | + | 5.83460e16i | 0.0294759 | + | 0.0510538i | ||||
\(601\) | −1.25241e18 | −1.08408 | −0.542040 | − | 0.840353i | \(-0.682348\pi\) | ||||
−0.542040 | + | 0.840353i | \(0.682348\pi\) | |||||||
\(602\) | −4.01593e17 | − | 1.36182e17i | −0.343882 | − | 0.116611i | ||||
\(603\) | 7.03772e16 | 0.0596169 | ||||||||
\(604\) | −1.96379e17 | − | 3.40139e17i | −0.164572 | − | 0.285047i | ||||
\(605\) | 3.61265e17 | − | 6.25729e17i | 0.299513 | − | 0.518772i | ||||
\(606\) | 7.67589e17 | − | 1.32950e18i | 0.629588 | − | 1.09048i | ||||
\(607\) | 5.93033e17 | + | 1.02716e18i | 0.481230 | + | 0.833514i | 0.999768 | − | 0.0215401i | \(-0.00685696\pi\) |
−0.518538 | + | 0.855054i | \(0.673524\pi\) | |||||||
\(608\) | 2.77977e17 | 0.223170 | ||||||||
\(609\) | 8.35581e16 | + | 4.19385e17i | 0.0663707 | + | 0.333120i | ||||
\(610\) | 1.14559e18 | 0.900296 | ||||||||
\(611\) | −5.88842e17 | − | 1.01990e18i | −0.457858 | − | 0.793033i | ||||
\(612\) | −1.19772e18 | + | 2.07452e18i | −0.921450 | + | 1.59600i | ||||
\(613\) | −9.49353e17 | + | 1.64433e18i | −0.722661 | + | 1.25169i | 0.237268 | + | 0.971444i | \(0.423748\pi\) |
−0.959929 | + | 0.280242i | \(0.909585\pi\) | |||||||
\(614\) | 5.56971e17 | + | 9.64701e17i | 0.419506 | + | 0.726605i | ||||
\(615\) | 3.78994e18 | 2.82451 | ||||||||
\(616\) | 6.12020e16 | + | 3.07178e17i | 0.0451327 | + | 0.226525i | ||||
\(617\) | −4.94808e17 | −0.361063 | −0.180532 | − | 0.983569i | \(-0.557782\pi\) | ||||
−0.180532 | + | 0.983569i | \(0.557782\pi\) | |||||||
\(618\) | 8.18652e17 | + | 1.41795e18i | 0.591118 | + | 1.02385i | ||||
\(619\) | −5.83734e17 | + | 1.01106e18i | −0.417086 | + | 0.722414i | −0.995645 | − | 0.0932266i | \(-0.970282\pi\) |
0.578559 | + | 0.815640i | \(0.303615\pi\) | |||||||
\(620\) | 2.49484e17 | − | 4.32120e17i | 0.176399 | − | 0.305533i | ||||
\(621\) | −2.04058e18 | − | 3.53439e18i | −1.42777 | − | 2.47297i | ||||
\(622\) | −1.55203e17 | −0.107464 | ||||||||
\(623\) | 1.14108e18 | + | 3.86944e17i | 0.781887 | + | 0.265140i | ||||
\(624\) | −6.41686e17 | −0.435134 | ||||||||
\(625\) | 8.07389e17 | + | 1.39844e18i | 0.541830 | + | 0.938476i | ||||
\(626\) | −5.86238e17 | + | 1.01539e18i | −0.389351 | + | 0.674375i | ||||
\(627\) | −1.13521e18 | + | 1.96624e18i | −0.746168 | + | 1.29240i | ||||
\(628\) | 6.03506e17 | + | 1.04530e18i | 0.392594 | + | 0.679993i | ||||
\(629\) | 9.50564e17 | 0.612001 | ||||||||
\(630\) | −1.98219e18 | + | 1.73944e18i | −1.26308 | + | 1.10840i | ||||
\(631\) | −2.58748e18 | −1.63187 | −0.815935 | − | 0.578143i | \(-0.803777\pi\) | ||||
−0.815935 | + | 0.578143i | \(0.803777\pi\) | |||||||
\(632\) | −4.20413e17 | − | 7.28176e17i | −0.262431 | − | 0.454544i | ||||
\(633\) | −3.85985e17 | + | 6.68546e17i | −0.238477 | + | 0.413055i | ||||
\(634\) | 1.53239e17 | − | 2.65418e17i | 0.0937108 | − | 0.162312i | ||||
\(635\) | −6.89520e17 | − | 1.19428e18i | −0.417366 | − | 0.722900i | ||||
\(636\) | 2.94037e17 | 0.176170 | ||||||||
\(637\) | 2.10698e17 | − | 1.60824e18i | 0.124955 | − | 0.953772i | ||||
\(638\) | −1.47722e17 | −0.0867180 | ||||||||
\(639\) | −2.01672e18 | − | 3.49305e18i | −1.17190 | − | 2.02978i | ||||
\(640\) | −8.02927e16 | + | 1.39071e17i | −0.0461856 | + | 0.0799958i | ||||
\(641\) | −1.05191e18 | + | 1.82195e18i | −0.598962 | + | 1.03743i | 0.394012 | + | 0.919105i | \(0.371087\pi\) |
−0.992975 | + | 0.118328i | \(0.962247\pi\) | |||||||
\(642\) | −1.69702e18 | − | 2.93933e18i | −0.956555 | − | 1.65680i | ||||
\(643\) | 2.34494e18 | 1.30846 | 0.654230 | − | 0.756296i | \(-0.272993\pi\) | ||||
0.654230 | + | 0.756296i | \(0.272993\pi\) | |||||||
\(644\) | 8.42738e17 | − | 7.39531e17i | 0.465516 | − | 0.408506i | ||||
\(645\) | 1.77575e18 | 0.971056 | ||||||||
\(646\) | −1.33631e18 | − | 2.31456e18i | −0.723431 | − | 1.25302i | ||||
\(647\) | −6.98459e17 | + | 1.20977e18i | −0.374337 | + | 0.648371i | −0.990228 | − | 0.139461i | \(-0.955463\pi\) |
0.615890 | + | 0.787832i | \(0.288796\pi\) | |||||||
\(648\) | −6.32105e17 | + | 1.09484e18i | −0.335391 | + | 0.580915i | ||||
\(649\) | −3.93409e17 | − | 6.81405e17i | −0.206659 | − | 0.357944i | ||||
\(650\) | 1.20521e17 | 0.0626794 | ||||||||
\(651\) | 2.24698e18 | + | 7.61958e17i | 1.15697 | + | 0.392333i | ||||
\(652\) | −1.45071e17 | −0.0739556 | ||||||||
\(653\) | 1.03360e18 | + | 1.79025e18i | 0.521697 | + | 0.903606i | 0.999681 | + | 0.0252376i | \(0.00803422\pi\) |
−0.477984 | + | 0.878368i | \(0.658632\pi\) | |||||||
\(654\) | 6.24380e17 | − | 1.08146e18i | 0.312028 | − | 0.540449i | ||||
\(655\) | 8.11493e17 | − | 1.40555e18i | 0.401528 | − | 0.695468i | ||||
\(656\) | 3.81105e17 | + | 6.60093e17i | 0.186711 | + | 0.323393i | ||||
\(657\) | 1.08298e18 | 0.525344 | ||||||||
\(658\) | −2.73840e17 | − | 1.37442e18i | −0.131531 | − | 0.660164i | ||||
\(659\) | 2.93883e18 | 1.39772 | 0.698858 | − | 0.715261i | \(-0.253692\pi\) | ||||
0.698858 | + | 0.715261i | \(0.253692\pi\) | |||||||
\(660\) | −6.55803e17 | − | 1.13588e18i | −0.308843 | − | 0.534932i | ||||
\(661\) | 1.26765e18 | − | 2.19564e18i | 0.591141 | − | 1.02389i | −0.402938 | − | 0.915227i | \(-0.632011\pi\) |
0.994079 | − | 0.108659i | \(-0.0346556\pi\) | |||||||
\(662\) | 4.48404e17 | − | 7.76659e17i | 0.207058 | − | 0.358636i | ||||
\(663\) | 3.08477e18 | + | 5.34297e18i | 1.41054 | + | 2.44312i | ||||
\(664\) | −5.45385e17 | −0.246951 | ||||||||
\(665\) | −5.74930e17 | − | 2.88562e18i | −0.257795 | − | 1.29389i | ||||
\(666\) | 1.36738e18 | 0.607164 | ||||||||
\(667\) | 2.64398e17 | + | 4.57950e17i | 0.116263 | + | 0.201373i | ||||
\(668\) | −3.76833e17 | + | 6.52694e17i | −0.164098 | + | 0.284225i | ||||
\(669\) | 3.07876e18 | − | 5.33257e18i | 1.32772 | − | 2.29968i | ||||
\(670\) | −2.26804e16 | − | 3.92837e16i | −0.00968647 | − | 0.0167774i | ||||
\(671\) | −1.88178e18 | −0.795926 | ||||||||
\(672\) | −7.23157e17 | − | 2.45225e17i | −0.302923 | − | 0.102722i | ||||
\(673\) | −3.04015e18 | −1.26124 | −0.630618 | − | 0.776093i | \(-0.717199\pi\) | ||||
−0.630618 | + | 0.776093i | \(0.717199\pi\) | |||||||
\(674\) | 1.61041e18 | + | 2.78931e18i | 0.661679 | + | 1.14606i | ||||
\(675\) | 2.61020e17 | − | 4.52100e17i | 0.106218 | − | 0.183976i | ||||
\(676\) | 4.63386e16 | − | 8.02607e16i | 0.0186762 | − | 0.0323482i | ||||
\(677\) | 2.71270e17 | + | 4.69854e17i | 0.108287 | + | 0.187558i | 0.915076 | − | 0.403281i | \(-0.132130\pi\) |
−0.806790 | + | 0.590839i | \(0.798797\pi\) | |||||||
\(678\) | −2.39773e18 | −0.947998 | ||||||||
\(679\) | −3.32630e18 | + | 2.91894e18i | −1.30259 | + | 1.14307i | ||||
\(680\) | 1.54396e18 | 0.598864 | ||||||||
\(681\) | 3.54310e18 | + | 6.13682e18i | 1.36121 | + | 2.35769i | ||||
\(682\) | −4.09810e17 | + | 7.09812e17i | −0.155950 | + | 0.270113i | ||||
\(683\) | 1.47214e18 | − | 2.54982e18i | 0.554900 | − | 0.961115i | −0.443011 | − | 0.896516i | \(-0.646090\pi\) |
0.997911 | − | 0.0645988i | \(-0.0205768\pi\) | |||||||
\(684\) | −1.92227e18 | − | 3.32948e18i | −0.717713 | − | 1.24312i | ||||
\(685\) | −4.04590e18 | −1.49633 | ||||||||
\(686\) | 8.52049e17 | − | 1.73191e18i | 0.312146 | − | 0.634480i | ||||
\(687\) | −1.48601e18 | −0.539266 | ||||||||
\(688\) | 1.78564e17 | + | 3.09283e17i | 0.0641904 | + | 0.111181i | ||||
\(689\) | 2.62999e17 | − | 4.55527e17i | 0.0936544 | − | 0.162214i | ||||
\(690\) | −2.34756e18 | + | 4.06610e18i | −0.828129 | + | 1.43436i | ||||
\(691\) | 7.95101e17 | + | 1.37715e18i | 0.277853 | + | 0.481255i | 0.970851 | − | 0.239684i | \(-0.0770439\pi\) |
−0.692998 | + | 0.720939i | \(0.743711\pi\) | |||||||
\(692\) | 2.66277e17 | 0.0921817 | ||||||||
\(693\) | 3.25601e18 | − | 2.85726e18i | 1.11666 | − | 0.979903i | ||||
\(694\) | 6.79193e17 | 0.230758 | ||||||||
\(695\) | −1.61114e18 | − | 2.79057e18i | −0.542289 | − | 0.939273i | ||||
\(696\) | 1.80069e17 | − | 3.11888e17i | 0.0600452 | − | 0.104001i | ||||
\(697\) | 3.66416e18 | − | 6.34651e18i | 1.21049 | − | 2.09663i | ||||
\(698\) | −6.35350e17 | − | 1.10046e18i | −0.207947 | − | 0.360175i | ||||
\(699\) | −8.30553e18 | −2.69318 | ||||||||
\(700\) | 1.35822e17 | + | 4.60578e16i | 0.0436349 | + | 0.0147967i | ||||
\(701\) | −3.34716e18 | −1.06539 | −0.532695 | − | 0.846307i | \(-0.678821\pi\) | ||||
−0.532695 | + | 0.846307i | \(0.678821\pi\) | |||||||
\(702\) | 2.48609e18 | + | 4.30603e18i | 0.784016 | + | 1.35796i | ||||
\(703\) | −7.62800e17 | + | 1.32121e18i | −0.238342 | + | 0.412821i | ||||
\(704\) | 1.31891e17 | − | 2.28442e17i | 0.0408313 | − | 0.0707219i | ||||
\(705\) | 2.93430e18 | + | 5.08235e18i | 0.900066 | + | 1.55896i | ||||
\(706\) | −1.37799e17 | −0.0418809 | ||||||||
\(707\) | −6.38569e17 | − | 3.20503e18i | −0.192301 | − | 0.965174i | ||||
\(708\) | 1.91823e18 | 0.572379 | ||||||||
\(709\) | 2.17273e18 | + | 3.76328e18i | 0.642400 | + | 1.11267i | 0.984895 | + | 0.173150i | \(0.0553945\pi\) |
−0.342496 | + | 0.939519i | \(0.611272\pi\) | |||||||
\(710\) | −1.29985e18 | + | 2.25141e18i | −0.380816 | + | 0.659593i | ||||
\(711\) | −5.81450e18 | + | 1.00710e19i | −1.68795 | + | 2.92362i | ||||
\(712\) | −5.07370e17 | − | 8.78791e17i | −0.145950 | − | 0.252793i | ||||
\(713\) | 2.93398e18 | 0.836325 | ||||||||
\(714\) | 1.43457e18 | + | 7.20020e18i | 0.405212 | + | 2.03379i | ||||
\(715\) | −2.34630e18 | −0.656742 | ||||||||
\(716\) | −5.37580e17 | − | 9.31115e17i | −0.149110 | − | 0.258267i | ||||
\(717\) | 1.29100e18 | − | 2.23608e18i | 0.354856 | − | 0.614628i | ||||
\(718\) | 1.28561e18 | − | 2.22674e18i | 0.350187 | − | 0.606542i | ||||
\(719\) | −1.05687e18 | − | 1.83055e18i | −0.285288 | − | 0.494133i | 0.687391 | − | 0.726287i | \(-0.258756\pi\) |
−0.972679 | + | 0.232155i | \(0.925422\pi\) | |||||||
\(720\) | 2.22097e18 | 0.594130 | ||||||||
\(721\) | 3.30080e18 | + | 1.11931e18i | 0.875065 | + | 0.296737i | ||||
\(722\) | 1.59802e18 | 0.419846 | ||||||||
\(723\) | −4.76891e18 | − | 8.25999e18i | −1.24171 | − | 2.15070i | ||||
\(724\) | −8.39338e17 | + | 1.45378e18i | −0.216589 | + | 0.375143i | ||||
\(725\) | −3.38203e16 | + | 5.85785e16i | −0.00864929 | + | 0.0149810i | ||||
\(726\) | −1.44674e18 | − | 2.50582e18i | −0.366692 | − | 0.635130i | ||||
\(727\) | 1.17297e18 | 0.294656 | 0.147328 | − | 0.989088i | \(-0.452933\pi\) | ||||
0.147328 | + | 0.989088i | \(0.452933\pi\) | |||||||
\(728\) | −1.02673e18 | + | 9.00986e17i | −0.255623 | + | 0.224318i | ||||
\(729\) | 5.80148e17 | 0.143156 | ||||||||
\(730\) | −3.49010e17 | − | 6.04504e17i | −0.0853571 | − | 0.147843i | ||||
\(731\) | 1.71682e18 | − | 2.97362e18i | 0.416161 | − | 0.720812i | ||||
\(732\) | 2.29384e18 | − | 3.97306e18i | 0.551115 | − | 0.954559i | ||||
\(733\) | 7.46241e17 | + | 1.29253e18i | 0.177706 | + | 0.307797i | 0.941095 | − | 0.338143i | \(-0.109799\pi\) |
−0.763388 | + | 0.645940i | \(0.776466\pi\) | |||||||
\(734\) | −1.19626e18 | −0.282358 | ||||||||
\(735\) | −1.04995e18 | + | 8.01413e18i | −0.245640 | + | 1.87495i | ||||
\(736\) | −9.44256e17 | −0.218970 | ||||||||
\(737\) | 3.72556e16 | + | 6.45285e16i | 0.00856352 | + | 0.0148325i | ||||
\(738\) | 5.27086e18 | − | 9.12939e18i | 1.20092 | − | 2.08006i | ||||
\(739\) | 2.01374e18 | − | 3.48789e18i | 0.454793 | − | 0.787724i | −0.543884 | − | 0.839161i | \(-0.683047\pi\) |
0.998676 | + | 0.0514366i | \(0.0163800\pi\) | |||||||
\(740\) | −4.40665e17 | − | 7.63253e17i | −0.0986511 | − | 0.170869i | ||||
\(741\) | −9.90174e18 | −2.19732 | ||||||||
\(742\) | 4.70472e17 | − | 4.12855e17i | 0.103492 | − | 0.0908181i | ||||
\(743\) | −4.29776e18 | −0.937163 | −0.468582 | − | 0.883420i | \(-0.655235\pi\) | ||||
−0.468582 | + | 0.883420i | \(0.655235\pi\) | |||||||
\(744\) | −9.99097e17 | − | 1.73049e18i | −0.215965 | − | 0.374063i | ||||
\(745\) | −2.32563e18 | + | 4.02811e18i | −0.498339 | + | 0.863148i | ||||
\(746\) | −8.89871e17 | + | 1.54130e18i | −0.189027 | + | 0.327405i | ||||
\(747\) | 3.77146e18 | + | 6.53237e18i | 0.794193 | + | 1.37558i | ||||
\(748\) | −2.53615e18 | −0.529438 | ||||||||
\(749\) | −6.84240e18 | − | 2.32028e18i | −1.41604 | − | 0.480185i | ||||
\(750\) | 5.91672e18 | 1.21390 | ||||||||
\(751\) | 2.85161e18 | + | 4.93914e18i | 0.580004 | + | 1.00460i | 0.995478 | + | 0.0949914i | \(0.0302824\pi\) |
−0.415474 | + | 0.909605i | \(0.636384\pi\) | |||||||
\(752\) | −5.90128e17 | + | 1.02213e18i | −0.118995 | + | 0.206106i | ||||
\(753\) | −1.79518e18 | + | 3.10935e18i | −0.358873 | + | 0.621587i | ||||
\(754\) | −3.22121e17 | − | 5.57931e17i | −0.0638419 | − | 0.110577i | ||||
\(755\) | 3.50116e18 | 0.687950 | ||||||||
\(756\) | 1.15615e18 | + | 5.80281e18i | 0.225228 | + | 1.13044i | ||||
\(757\) | 9.41377e18 | 1.81819 | 0.909097 | − | 0.416584i | \(-0.136773\pi\) | ||||
0.909097 | + | 0.416584i | \(0.136773\pi\) | |||||||
\(758\) | −1.64425e17 | − | 2.84793e17i | −0.0314861 | − | 0.0545355i | ||||
\(759\) | 3.85618e18 | − | 6.67909e18i | 0.732125 | − | 1.26808i | ||||
\(760\) | −1.23898e18 | + | 2.14598e18i | −0.233226 | + | 0.403959i | ||||
\(761\) | 1.47511e18 | + | 2.55497e18i | 0.275312 | + | 0.476854i | 0.970214 | − | 0.242250i | \(-0.0778856\pi\) |
−0.694902 | + | 0.719105i | \(0.744552\pi\) | |||||||
\(762\) | −5.52257e18 | −1.02196 | ||||||||
\(763\) | −5.19432e17 | − | 2.60707e18i | −0.0953057 | − | 0.478347i | ||||
\(764\) | 2.66647e17 | 0.0485099 | ||||||||
\(765\) | −1.06768e19 | − | 1.84928e19i | −1.92594 | − | 3.33583i | ||||
\(766\) | −2.26891e18 | + | 3.92986e18i | −0.405817 | + | 0.702895i | ||||
\(767\) | 1.71574e18 | − | 2.97174e18i | 0.304285 | − | 0.527037i | ||||
\(768\) | 3.21544e17 | + | 5.56931e17i | 0.0565448 | + | 0.0979385i | ||||
\(769\) | 6.59719e18 | 1.15037 | 0.575185 | − | 0.818023i | \(-0.304930\pi\) | ||||
0.575185 | + | 0.818023i | \(0.304930\pi\) | |||||||
\(770\) | −2.64420e18 | − | 8.96656e17i | −0.457198 | − | 0.155037i | ||||
\(771\) | 9.79772e18 | 1.67985 | ||||||||
\(772\) | 6.64776e17 | + | 1.15143e18i | 0.113022 | + | 0.195760i | ||||
\(773\) | 1.13715e18 | − | 1.96961e18i | 0.191713 | − | 0.332057i | −0.754105 | − | 0.656754i | \(-0.771929\pi\) |
0.945818 | + | 0.324697i | \(0.105262\pi\) | |||||||
\(774\) | 2.46963e18 | − | 4.27752e18i | 0.412872 | − | 0.715115i | ||||
\(775\) | 1.87649e17 | + | 3.25018e17i | 0.0311090 | + | 0.0538823i | ||||
\(776\) | 3.72700e18 | 0.612714 | ||||||||
\(777\) | 3.14996e18 | − | 2.76420e18i | 0.513533 | − | 0.450643i | ||||
\(778\) | 5.21528e18 | 0.843161 | ||||||||
\(779\) | 5.88076e18 | + | 1.01858e19i | 0.942844 | + | 1.63305i | ||||
\(780\) | 2.86009e18 | − | 4.95382e18i | 0.454741 | − | 0.787635i | ||||
\(781\) | 2.13518e18 | − | 3.69824e18i | 0.336668 | − | 0.583127i | ||||
\(782\) | 4.53931e18 | + | 7.86231e18i | 0.709816 | + | 1.22944i | ||||
\(783\) | −2.79056e18 | −0.432754 | ||||||||
\(784\) | −1.50140e18 | + | 6.23008e17i | −0.230910 | + | 0.0958163i | ||||
\(785\) | −1.07596e19 | −1.64114 | ||||||||
\(786\) | −3.24975e18 | − | 5.62872e18i | −0.491590 | − | 0.851458i | ||||
\(787\) | 1.92422e18 | − | 3.33285e18i | 0.288682 | − | 0.500012i | −0.684813 | − | 0.728718i | \(-0.740116\pi\) |
0.973495 | + | 0.228707i | \(0.0734496\pi\) | |||||||
\(788\) | −1.81932e18 | + | 3.15115e18i | −0.270700 | + | 0.468865i | ||||
\(789\) | −1.25864e18 | − | 2.18003e18i | −0.185738 | − | 0.321708i | ||||
\(790\) | 7.49536e18 | 1.09702 | ||||||||
\(791\) | −3.83647e18 | + | 3.36663e18i | −0.556910 | + | 0.488707i | ||||
\(792\) | −3.64823e18 | −0.525253 | ||||||||
\(793\) | −4.10341e18 | − | 7.10732e18i | −0.585962 | − | 1.01492i | ||||
\(794\) | −4.02902e18 | + | 6.97847e18i | −0.570645 | + | 0.988386i | ||||
\(795\) | −1.31057e18 | + | 2.26997e18i | −0.184108 | + | 0.318884i | ||||
\(796\) | 3.21320e17 | + | 5.56543e17i | 0.0447717 | + | 0.0775468i | ||||
\(797\) | 7.52899e17 | 0.104054 | 0.0520269 | − | 0.998646i | \(-0.483432\pi\) | ||||
0.0520269 | + | 0.998646i | \(0.483432\pi\) | |||||||
\(798\) | −1.11589e19 | − | 3.78402e18i | −1.52969 | − | 0.518722i | ||||
\(799\) | 1.13477e19 | 1.54295 | ||||||||
\(800\) | −6.03920e16 | − | 1.04602e17i | −0.00814507 | − | 0.0141077i | ||||
\(801\) | −7.01716e18 | + | 1.21541e19i | −0.938751 | + | 1.62596i | ||||
\(802\) | 2.20490e18 | − | 3.81900e18i | 0.292588 | − | 0.506777i | ||||
\(803\) | 5.73295e17 | + | 9.92976e17i | 0.0754618 | + | 0.130704i | ||||
\(804\) | −1.81654e17 | −0.0237182 | ||||||||
\(805\) | 1.95297e18 | + | 9.80213e18i | 0.252943 | + | 1.26954i | ||||
\(806\) | −3.57453e18 | −0.459241 | ||||||||
\(807\) | −6.44690e18 | − | 1.11663e19i | −0.821623 | − | 1.42309i | ||||
\(808\) | −1.37612e18 | + | 2.38352e18i | −0.173974 | + | 0.301332i | ||||
\(809\) | −2.35644e17 | + | 4.08147e17i | −0.0295523 | + | 0.0511861i | −0.880423 | − | 0.474189i | \(-0.842741\pi\) |
0.850871 | + | 0.525375i | \(0.176075\pi\) | |||||||
\(810\) | −5.63477e18 | − | 9.75970e18i | −0.701008 | − | 1.21418i | ||||
\(811\) | −1.90998e18 | −0.235719 | −0.117859 | − | 0.993030i | \(-0.537603\pi\) | ||||
−0.117859 | + | 0.993030i | \(0.537603\pi\) | |||||||
\(812\) | −1.49802e17 | − | 7.51868e17i | −0.0183402 | − | 0.0920508i | ||||
\(813\) | −7.97125e18 | −0.968140 | ||||||||
\(814\) | 7.23849e17 | + | 1.25374e18i | 0.0872146 | + | 0.151060i | ||||
\(815\) | 6.46602e17 | − | 1.11995e18i | 0.0772881 | − | 0.133867i | ||||
\(816\) | 3.09151e18 | − | 5.35465e18i | 0.366593 | − | 0.634958i | ||||
\(817\) | 2.75539e18 | + | 4.77248e18i | 0.324146 | + | 0.561437i | ||||
\(818\) | −6.01901e18 | −0.702471 | ||||||||
\(819\) | 1.78916e19 | + | 6.06711e18i | 2.07159 | + | 0.702484i | ||||
\(820\) | −6.79455e18 | −0.780496 | ||||||||
\(821\) | 5.89897e18 | + | 1.02173e19i | 0.672273 | + | 1.16441i | 0.977258 | + | 0.212054i | \(0.0680154\pi\) |
−0.304985 | + | 0.952357i | \(0.598651\pi\) | |||||||
\(822\) | −8.10120e18 | + | 1.40317e19i | −0.915973 | + | 1.58651i | ||||
\(823\) | 9.71790e17 | − | 1.68319e18i | 0.109012 | − | 0.188814i | −0.806358 | − | 0.591427i | \(-0.798565\pi\) |
0.915370 | + | 0.402613i | \(0.131898\pi\) | |||||||
\(824\) | −1.46767e18 | − | 2.54208e18i | −0.163343 | − | 0.282919i | ||||
\(825\) | 9.86522e17 | 0.108932 | ||||||||
\(826\) | 3.06924e18 | − | 2.69336e18i | 0.336249 | − | 0.295070i | ||||
\(827\) | −1.46200e19 | −1.58914 | −0.794570 | − | 0.607173i | \(-0.792304\pi\) | ||||
−0.794570 | + | 0.607173i | \(0.792304\pi\) | |||||||
\(828\) | 6.52975e18 | + | 1.13099e19i | 0.704205 | + | 1.21972i | ||||
\(829\) | 1.50698e18 | − | 2.61016e18i | 0.161251 | − | 0.279295i | −0.774067 | − | 0.633104i | \(-0.781780\pi\) |
0.935318 | + | 0.353809i | \(0.115114\pi\) | |||||||
\(830\) | 2.43086e18 | − | 4.21037e18i | 0.258079 | − | 0.447005i | ||||
\(831\) | −2.04683e18 | − | 3.54522e18i | −0.215613 | − | 0.373453i | ||||
\(832\) | 1.15041e18 | 0.120240 | ||||||||
\(833\) | 1.24051e19 | + | 9.50637e18i | 1.28649 | + | 0.985875i | ||||
\(834\) | −1.29041e19 | −1.32785 | ||||||||
\(835\) | −3.35920e18 | − | 5.81830e18i | −0.342984 | − | 0.594065i | ||||
\(836\) | 2.03519e18 | − | 3.52505e18i | 0.206188 | − | 0.357129i | ||||
\(837\) | −7.74161e18 | + | 1.34089e19i | −0.778244 | + | 1.34796i | ||||
\(838\) | 2.36196e18 | + | 4.09104e18i | 0.235606 | + | 0.408082i | ||||
\(839\) | −3.67263e18 | −0.363517 | −0.181759 | − | 0.983343i | \(-0.558179\pi\) | ||||
−0.181759 | + | 0.983343i | \(0.558179\pi\) | |||||||
\(840\) | 5.11634e18 | − | 4.48977e18i | 0.502510 | − | 0.440969i | ||||
\(841\) | −9.89906e18 | −0.964761 | ||||||||
\(842\) | −5.85680e18 | − | 1.01443e19i | −0.566411 | − | 0.981052i | ||||
\(843\) | 2.94241e18 | − | 5.09640e18i | 0.282373 | − | 0.489085i | ||||
\(844\) | 6.91990e17 | − | 1.19856e18i | 0.0658983 | − | 0.114139i | ||||
\(845\) | 4.13075e17 | + | 7.15467e17i | 0.0390355 | + | 0.0676116i | ||||
\(846\) | 1.63235e19 | 1.53076 | ||||||||
\(847\) | −5.83325e18 | − | 1.97807e18i | −0.542836 | − | 0.184077i | ||||
\(848\) | −5.27146e17 | −0.0486809 | ||||||||
\(849\) | 1.64690e19 | + | 2.85251e19i | 1.50927 | + | 2.61413i | ||||
\(850\) | −5.80643e17 | + | 1.00570e18i | −0.0528064 | + | 0.0914633i | ||||
\(851\) | 2.59115e18 | − | 4.48800e18i | 0.233857 | − | 0.405052i | ||||
\(852\) | 5.20546e18 | + | 9.01612e18i | 0.466231 | + | 0.807537i | ||||
\(853\) | 1.22672e19 | 1.09038 | 0.545189 | − | 0.838313i | \(-0.316458\pi\) | ||||
0.545189 | + | 0.838313i | \(0.316458\pi\) | |||||||
\(854\) | −1.90828e18 | − | 9.57783e18i | −0.168332 | − | 0.844872i | ||||
\(855\) | 3.42714e19 | 3.00021 | ||||||||
\(856\) | 3.04240e18 | + | 5.26960e18i | 0.264324 | + | 0.457823i | ||||
\(857\) | 8.00928e17 | − | 1.38725e18i | 0.0690587 | − | 0.119613i | −0.829429 | − | 0.558613i | \(-0.811334\pi\) |
0.898487 | + | 0.439000i | \(0.144667\pi\) | |||||||
\(858\) | −4.69806e18 | + | 8.13728e18i | −0.402024 | + | 0.696325i | ||||
\(859\) | −6.14645e18 | − | 1.06460e19i | −0.521998 | − | 0.904127i | −0.999673 | − | 0.0255901i | \(-0.991854\pi\) |
0.477675 | − | 0.878537i | \(-0.341480\pi\) | |||||||
\(860\) | −3.18355e18 | −0.268331 | ||||||||
\(861\) | −6.31314e18 | − | 3.16862e19i | −0.528111 | − | 2.65063i | ||||
\(862\) | 1.65184e19 | 1.37142 | ||||||||
\(863\) | 1.84925e18 | + | 3.20299e18i | 0.152379 | + | 0.263928i | 0.932102 | − | 0.362197i | \(-0.117973\pi\) |
−0.779723 | + | 0.626125i | \(0.784640\pi\) | |||||||
\(864\) | 2.49152e18 | − | 4.31544e18i | 0.203763 | − | 0.352928i | ||||
\(865\) | −1.18684e18 | + | 2.05566e18i | −0.0963354 | + | 0.166858i | ||||
\(866\) | 2.15421e18 | + | 3.73119e18i | 0.173548 | + | 0.300595i | ||||
\(867\) | −3.68179e19 | −2.94398 | ||||||||
\(868\) | −4.02836e18 | − | 1.36603e18i | −0.319706 | − | 0.108413i | ||||
\(869\) | −1.23121e19 | −0.969848 | ||||||||
\(870\) | 1.60518e18 | + | 2.78026e18i | 0.125502 | + | 0.217375i | ||||
\(871\) | −1.62479e17 | + | 2.81422e17i | −0.0126090 | + | 0.0218394i | ||||
\(872\) | −1.11938e18 | + | 1.93883e18i | −0.0862226 | + | 0.149342i | ||||
\(873\) | −2.57731e19 | − | 4.46402e19i | −1.97049 | − | 3.41298i | ||||
\(874\) | −1.45706e19 | −1.10574 | ||||||||
\(875\) | 9.46701e18 | − | 8.30762e18i | 0.713116 | − | 0.625784i | ||||
\(876\) | −2.79533e18 | −0.209005 | ||||||||
\(877\) | −1.71080e18 | − | 2.96319e18i | −0.126970 | − | 0.219918i | 0.795531 | − | 0.605913i | \(-0.207192\pi\) |
−0.922501 | + | 0.385994i | \(0.873859\pi\) | |||||||
\(878\) | 8.32736e18 | − | 1.44234e19i | 0.613469 | − | 1.06256i | ||||
\(879\) | 5.72892e18 | − | 9.92279e18i | 0.418934 | − | 0.725614i | ||||
\(880\) | 1.17572e18 | + | 2.03640e18i | 0.0853424 | + | 0.147817i | ||||
\(881\) | 1.42953e19 | 1.03003 | 0.515015 | − | 0.857181i | \(-0.327786\pi\) | ||||
0.515015 | + | 0.857181i | \(0.327786\pi\) | |||||||
\(882\) | 1.78446e19 | + | 1.36748e19i | 1.27633 | + | 0.978083i | ||||
\(883\) | −2.07001e19 | −1.46970 | −0.734848 | − | 0.678232i | \(-0.762747\pi\) | ||||
−0.734848 | + | 0.678232i | \(0.762747\pi\) | |||||||
\(884\) | −5.53034e18 | − | 9.57882e18i | −0.389773 | − | 0.675107i | ||||
\(885\) | −8.54980e18 | + | 1.48087e19i | −0.598170 | + | 1.03606i | ||||
\(886\) | 5.79500e18 | − | 1.00372e19i | 0.402471 | − | 0.697100i | ||||
\(887\) | −6.04696e18 | − | 1.04737e19i | −0.416902 | − | 0.722095i | 0.578724 | − | 0.815523i | \(-0.303551\pi\) |
−0.995626 | + | 0.0934281i | \(0.970217\pi\) | |||||||
\(888\) | −3.52941e18 | −0.241556 | ||||||||
\(889\) | −8.83635e18 | + | 7.75420e18i | −0.600360 | + | 0.526836i | ||||
\(890\) | 9.04568e18 | 0.610107 | ||||||||
\(891\) | 9.25583e18 | + | 1.60316e19i | 0.619741 | + | 1.07342i | ||||
\(892\) | −5.51956e18 | + | 9.56016e18i | −0.366888 | + | 0.635468i | ||||
\(893\) | −9.10616e18 | + | 1.57723e19i | −0.600898 | + | 1.04079i | ||||
\(894\) | 9.31333e18 | + | 1.61312e19i | 0.610114 | + | 1.05675i | ||||
\(895\) | 9.58427e18 | 0.623318 | ||||||||
\(896\) | 1.29647e18 | + | 4.39636e17i | 0.0837065 | + | 0.0283851i | ||||
\(897\) | 3.36351e19 | 2.15597 | ||||||||
\(898\) | 3.72022e18 | + | 6.44361e18i | 0.236740 | + | 0.410046i | ||||
\(899\) | 1.00308e18 | − | 1.73738e18i | 0.0633719 | − | 0.109763i | ||||
\(900\) | −8.35250e17 | + | 1.44670e18i | −0.0523890 | + | 0.0907404i | ||||
\(901\) | 2.53414e18 | + | 4.38926e18i | 0.157805 | + | 0.273326i | ||||
\(902\) | 1.11609e19 | 0.690014 | ||||||||
\(903\) | −2.95799e18 | − | 1.48464e19i | −0.181562 | − | 0.911275i | ||||
\(904\) | 4.29862e18 | 0.261960 | ||||||||
\(905\) | −7.48209e18 | − | 1.29594e19i | −0.452697 | − | 0.784094i | ||||
\(906\) | 7.01046e18 | − | 1.21425e19i | 0.421127 | − | 0.729414i | ||||
\(907\) | −4.37871e18 | + | 7.58415e18i | −0.261155 | + | 0.452334i | −0.966549 | − | 0.256481i | \(-0.917437\pi\) |
0.705394 | + | 0.708815i | \(0.250770\pi\) | |||||||
\(908\) | −6.35202e18 | − | 1.10020e19i | −0.376144 | − | 0.651500i | ||||
\(909\) | 3.80649e19 | 2.23800 | ||||||||
\(910\) | −2.37935e18 | − | 1.19421e19i | −0.138896 | − | 0.697129i | ||||
\(911\) | 3.20011e18 | 0.185480 | 0.0927398 | − | 0.995690i | \(-0.470438\pi\) | ||||
0.0927398 | + | 0.995690i | \(0.470438\pi\) | |||||||
\(912\) | 4.96169e18 | + | 8.59390e18i | 0.285538 | + | 0.494566i | ||||
\(913\) | −3.99300e18 | + | 6.91608e18i | −0.228160 | + | 0.395185i | ||||
\(914\) | −5.25872e18 | + | 9.10838e18i | −0.298353 | + | 0.516762i | ||||
\(915\) | 2.04480e19 | + | 3.54169e19i | 1.15190 | + | 1.99514i | ||||
\(916\) | 2.66410e18 | 0.149015 | ||||||||
\(917\) | −1.31030e19 | − | 4.44326e18i | −0.727728 | − | 0.246775i | ||||
\(918\) | −4.79098e19 | −2.64208 | ||||||||
\(919\) | −9.83842e18 | − | 1.70406e19i | −0.538734 | − | 0.933115i | −0.998973 | − | 0.0453198i | \(-0.985569\pi\) |
0.460238 | − | 0.887795i | \(-0.347764\pi\) | |||||||
\(920\) | 4.20868e18 | − | 7.28965e18i | 0.228837 | − | 0.396357i | ||||
\(921\) | −1.98831e19 | + | 3.44385e19i | −1.07348 | + | 1.85933i | ||||
\(922\) | −4.06727e18 | − | 7.04471e18i | −0.218048 | − | 0.377670i | ||||
\(923\) | 1.86239e19 | 0.991423 | ||||||||
\(924\) | −8.40426e18 | + | 7.37502e18i | −0.444254 | + | 0.389848i | ||||
\(925\) | 6.62890e17 | 0.0347953 | ||||||||
\(926\) | −3.69967e18 | − | 6.40802e18i | −0.192838 | − | 0.334005i | ||||
\(927\) | −2.02985e19 | + | 3.51581e19i | −1.05062 | + | 1.81973i | ||||
\(928\) | −3.22825e17 | + | 5.59150e17i | −0.0165923 | + | 0.0287387i | ||||
\(929\) | 1.35760e19 | + | 2.35143e19i | 0.692899 | + | 1.20014i | 0.970884 | + | 0.239551i | \(0.0770003\pi\) |
−0.277984 | + | 0.960586i | \(0.589666\pi\) | |||||||
\(930\) | 1.78125e19 | 0.902787 | ||||||||
\(931\) | −2.31678e19 | + | 9.61353e18i | −1.16604 | + | 0.483849i | ||||
\(932\) | 1.48901e19 | 0.744206 | ||||||||
\(933\) | −2.77027e18 | − | 4.79825e18i | −0.137496 | − | 0.238151i | ||||
\(934\) | −3.24465e18 | + | 5.61990e18i | −0.159924 | + | 0.276996i | ||||
\(935\) | 1.13040e19 | − | 1.95791e19i | 0.553295 | − | 0.958334i | ||||
\(936\) | −7.95534e18 | − | 1.37790e19i | −0.386692 | − | 0.669771i | ||||
\(937\) | 5.82871e18 | 0.281362 | 0.140681 | − | 0.990055i | \(-0.455071\pi\) | ||||
0.140681 | + | 0.990055i | \(0.455071\pi\) | |||||||
\(938\) | −2.90655e17 | + | 2.55060e17i | −0.0139335 | + | 0.0122271i | ||||
\(939\) | −4.18558e19 | −1.99264 | ||||||||
\(940\) | −5.26057e18 | − | 9.11158e18i | −0.248715 | − | 0.430787i | ||||
\(941\) | 7.22541e18 | − | 1.25148e19i | 0.339258 | − | 0.587612i | −0.645035 | − | 0.764153i | \(-0.723157\pi\) |
0.984293 | + | 0.176541i | \(0.0564907\pi\) | |||||||
\(942\) | −2.15443e19 | + | 3.73158e19i | −1.00462 | + | 1.74005i | ||||
\(943\) | −1.99763e19 | − | 3.45999e19i | −0.925100 | − | 1.60232i | ||||
\(944\) | −3.43897e18 | −0.158165 | ||||||||
\(945\) | −4.99508e19 | − | 1.69385e19i | −2.28158 | − | 0.773691i | ||||
\(946\) | 5.22939e18 | 0.237224 | ||||||||
\(947\) | 1.51205e19 | + | 2.61895e19i | 0.681226 | + | 1.17992i | 0.974607 | + | 0.223922i | \(0.0718861\pi\) |
−0.293382 | + | 0.955995i | \(0.594781\pi\) | |||||||
\(948\) | 1.50081e19 | − | 2.59949e19i | 0.671541 | − | 1.16314i | ||||
\(949\) | −2.50025e18 | + | 4.33056e18i | −0.111110 | + | 0.192448i | ||||
\(950\) | −9.31898e17 | − | 1.61410e18i | −0.0411306 | − | 0.0712403i | ||||
\(951\) | 1.09408e19 | 0.479598 | ||||||||
\(952\) | −2.57187e18 | − | 1.29084e19i | −0.111972 | − | 0.561996i | ||||
\(953\) | 8.71317e18 | 0.376767 | 0.188383 | − | 0.982096i | \(-0.439675\pi\) | ||||
0.188383 | + | 0.982096i | \(0.439675\pi\) | |||||||
\(954\) | 3.64534e18 | + | 6.31391e18i | 0.156557 | + | 0.271165i | ||||
\(955\) | −1.18848e18 | + | 2.05851e18i | −0.0506957 | + | 0.0878076i | ||||
\(956\) | −2.31449e18 | + | 4.00881e18i | −0.0980571 | + | 0.169840i | ||||
\(957\) | −2.63672e18 | − | 4.56694e18i | −0.110953 | − | 0.192175i | ||||
\(958\) | −1.75428e19 | −0.733200 | ||||||||
\(959\) | 6.73951e18 | + | 3.38261e19i | 0.279774 | + | 1.40421i | ||||
\(960\) | −5.73267e18 | −0.236371 | ||||||||
\(961\) | 6.64328e18 | + | 1.15065e19i | 0.272070 | + | 0.471239i | ||||
\(962\) | −3.15685e18 | + | 5.46782e18i | −0.128415 | + | 0.222421i | ||||
\(963\) | 4.20779e19 | − | 7.28810e19i | 1.70013 | − | 2.94472i | ||||
\(964\) | 8.54964e18 | + | 1.48084e19i | 0.343121 | + | 0.594303i | ||||
\(965\) | −1.18520e19 | −0.472459 | ||||||||
\(966\) | 3.79055e19 | + | 1.28539e19i | 1.50090 | + | 0.508959i | ||||
\(967\) | 4.61552e19 | 1.81530 | 0.907650 | − | 0.419728i | \(-0.137874\pi\) | ||||
0.907650 | + | 0.419728i | \(0.137874\pi\) | |||||||
\(968\) | 2.59370e18 | + | 4.49241e18i | 0.101328 | + | 0.175505i | ||||
\(969\) | 4.77045e19 | − | 8.26266e19i | 1.85121 | − | 3.20638i | ||||
\(970\) | −1.66118e19 | + | 2.87724e19i | −0.640323 | + | 1.10907i | ||||
\(971\) | 1.54495e19 | + | 2.67593e19i | 0.591548 | + | 1.02459i | 0.994024 | + | 0.109160i | \(0.0348162\pi\) |
−0.402476 | + | 0.915430i | \(0.631850\pi\) | |||||||
\(972\) | −1.48244e19 | −0.563827 | ||||||||
\(973\) | −2.06471e19 | + | 1.81185e19i | −0.780055 | + | 0.684524i | ||||
\(974\) | −2.03466e19 | −0.763589 | ||||||||
\(975\) | 2.15121e18 | + | 3.72600e18i | 0.0801960 | + | 0.138904i | ||||
\(976\) | −4.11238e18 | + | 7.12285e18i | −0.152289 | + | 0.263773i | ||||
\(977\) | −1.18103e19 | + | 2.04561e19i | −0.434457 | + | 0.752502i | −0.997251 | − | 0.0740955i | \(-0.976393\pi\) |
0.562794 | + | 0.826597i | \(0.309726\pi\) | |||||||
\(978\) | −2.58941e18 | − | 4.48500e18i | −0.0946235 | − | 0.163893i | ||||
\(979\) | −1.48587e19 | −0.539378 | ||||||||
\(980\) | 1.88233e18 | − | 1.43676e19i | 0.0678776 | − | 0.518103i | ||||
\(981\) | 3.09631e19 | 1.10917 | ||||||||
\(982\) | −9.42002e18 | − | 1.63160e19i | −0.335218 | − | 0.580615i | ||||
\(983\) | −6.70975e17 | + | 1.16216e18i | −0.0237196 | + | 0.0410836i | −0.877642 | − | 0.479318i | \(-0.840884\pi\) |
0.853922 | + | 0.520401i | \(0.174218\pi\) | |||||||
\(984\) | −1.36049e19 | + | 2.35644e19i | −0.477779 | + | 0.827538i | ||||
\(985\) | −1.62179e19 | − | 2.80902e19i | −0.565795 | − | 0.979985i | ||||
\(986\) | 6.20765e18 | 0.215143 | ||||||||
\(987\) | 3.76037e19 | − | 3.29985e19i | 1.29470 | − | 1.13614i | ||||
\(988\) | 1.77517e19 | 0.607184 | ||||||||
\(989\) | −9.35977e18 | − | 1.62116e19i | −0.318045 | − | 0.550871i | ||||
\(990\) | 1.62607e19 | − | 2.81643e19i | 0.548922 | − | 0.950760i | ||||
\(991\) | 7.05790e18 | − | 1.22246e19i | 0.236699 | − | 0.409975i | −0.723066 | − | 0.690779i | \(-0.757268\pi\) |
0.959765 | + | 0.280804i | \(0.0906010\pi\) | |||||||
\(992\) | 1.79117e18 | + | 3.10240e18i | 0.0596776 | + | 0.103365i | ||||
\(993\) | 3.20148e19 | 1.05969 | ||||||||
\(994\) | 2.09884e19 | + | 7.11724e18i | 0.690189 | + | 0.234045i | ||||
\(995\) | −5.72868e18 | −0.187156 | ||||||||
\(996\) | −9.73474e18 | − | 1.68611e19i | −0.315965 | − | 0.547267i | ||||
\(997\) | −1.91620e19 | + | 3.31895e19i | −0.617905 | + | 1.07024i | 0.371963 | + | 0.928248i | \(0.378685\pi\) |
−0.989867 | + | 0.141994i | \(0.954648\pi\) | |||||||
\(998\) | 1.71327e19 | − | 2.96746e19i | 0.548879 | − | 0.950686i | ||||
\(999\) | 1.36740e19 | + | 2.36841e19i | 0.435232 | + | 0.753843i |
(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 | 14.14.c.a.11.4 | yes | 8 | |
3.2 | odd | 2 | 126.14.g.d.109.3 | 8 | |||
7.2 | even | 3 | inner | 14.14.c.a.9.4 | ✓ | 8 | |
7.3 | odd | 6 | 98.14.a.k.1.4 | 4 | |||
7.4 | even | 3 | 98.14.a.l.1.1 | 4 | |||
7.5 | odd | 6 | 98.14.c.n.79.1 | 8 | |||
7.6 | odd | 2 | 98.14.c.n.67.1 | 8 | |||
21.2 | odd | 6 | 126.14.g.d.37.3 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
14.14.c.a.9.4 | ✓ | 8 | 7.2 | even | 3 | inner | |
14.14.c.a.11.4 | yes | 8 | 1.1 | even | 1 | trivial | |
98.14.a.k.1.4 | 4 | 7.3 | odd | 6 | |||
98.14.a.l.1.1 | 4 | 7.4 | even | 3 | |||
98.14.c.n.67.1 | 8 | 7.6 | odd | 2 | |||
98.14.c.n.79.1 | 8 | 7.5 | odd | 6 | |||
126.14.g.d.37.3 | 8 | 21.2 | odd | 6 | |||
126.14.g.d.109.3 | 8 | 3.2 | odd | 2 |