Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [14,13,Mod(3,14)]
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([1]))
N = Newforms(chi, 13, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("14.3");
S:= CuspForms(chi, 13);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 14 = 2 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 13 \) |
Character orbit: | \([\chi]\) | \(=\) | 14.d (of order \(6\), 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: | \(12.7959134419\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} + 527434 x^{14} - 31307480 x^{13} + 193554267483 x^{12} - 12267558721140 x^{11} + \cdots + 73\!\cdots\!36 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{48}\cdot 3^{8}\cdot 7^{7} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 3.6 | ||
Root | \(65.8177 + 114.000i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 14.3 |
Dual form | 14.13.d.a.5.6 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/14\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 22.6274 | + | 39.1918i | 0.353553 | + | 0.612372i | ||||
\(3\) | −444.082 | − | 256.391i | −0.609167 | − | 0.351702i | 0.163473 | − | 0.986548i | \(-0.447730\pi\) |
−0.772639 | + | 0.634845i | \(0.781064\pi\) | |||||||
\(4\) | −1024.00 | + | 1773.62i | −0.250000 | + | 0.433013i | ||||
\(5\) | −12687.9 | + | 7325.35i | −0.812024 | + | 0.468822i | −0.847658 | − | 0.530543i | \(-0.821988\pi\) |
0.0356345 | + | 0.999365i | \(0.488655\pi\) | |||||||
\(6\) | − | 23205.9i | − | 0.497382i | ||||||
\(7\) | 117217. | − | 10074.6i | 0.996327 | − | 0.0856326i | ||||
\(8\) | −92681.9 | −0.353553 | ||||||||
\(9\) | −134248. | − | 232524.i | −0.252611 | − | 0.437535i | ||||
\(10\) | −574187. | − | 331507.i | −0.574187 | − | 0.331507i | ||||
\(11\) | 1.34149e6 | − | 2.32353e6i | 0.757235 | − | 1.31157i | −0.187020 | − | 0.982356i | \(-0.559883\pi\) |
0.944255 | − | 0.329214i | \(-0.106784\pi\) | |||||||
\(12\) | 909481. | − | 525089.i | 0.304583 | − | 0.175851i | ||||
\(13\) | − | 1.34691e6i | − | 0.279048i | −0.990219 | − | 0.139524i | \(-0.955443\pi\) | ||
0.990219 | − | 0.139524i | \(-0.0445573\pi\) | |||||||
\(14\) | 3.04716e6 | + | 4.36598e6i | 0.404694 | + | 0.579847i | ||||
\(15\) | 7.51261e6 | 0.659544 | ||||||||
\(16\) | −2.09715e6 | − | 3.63237e6i | −0.125000 | − | 0.216506i | ||||
\(17\) | 6.20477e6 | + | 3.58233e6i | 0.257059 | + | 0.148413i | 0.622992 | − | 0.782228i | \(-0.285917\pi\) |
−0.365933 | + | 0.930641i | \(0.619250\pi\) | |||||||
\(18\) | 6.07536e6 | − | 1.05228e7i | 0.178623 | − | 0.309384i | ||||
\(19\) | 6.33442e7 | − | 3.65718e7i | 1.34644 | − | 0.777365i | 0.358692 | − | 0.933456i | \(-0.383223\pi\) |
0.987743 | + | 0.156091i | \(0.0498894\pi\) | |||||||
\(20\) | − | 3.00046e7i | − | 0.468822i | ||||||
\(21\) | −5.46370e7 | − | 2.55794e7i | −0.637046 | − | 0.298246i | ||||
\(22\) | 1.21418e8 | 1.07089 | ||||||||
\(23\) | −1.14112e8 | − | 1.97648e8i | −0.770843 | − | 1.33514i | −0.937102 | − | 0.349057i | \(-0.886502\pi\) |
0.166259 | − | 0.986082i | \(-0.446831\pi\) | |||||||
\(24\) | 4.11584e7 | + | 2.37628e7i | 0.215373 | + | 0.124346i | ||||
\(25\) | −1.47489e7 | + | 2.55459e7i | −0.0604117 | + | 0.104636i | ||||
\(26\) | 5.27880e7 | − | 3.04772e7i | 0.170881 | − | 0.0986585i | ||||
\(27\) | 4.10193e8i | 1.05878i | ||||||||
\(28\) | −1.02162e8 | + | 2.18215e8i | −0.212002 | + | 0.452830i | ||||
\(29\) | −5.69081e8 | −0.956723 | −0.478362 | − | 0.878163i | \(-0.658769\pi\) | ||||
−0.478362 | + | 0.878163i | \(0.658769\pi\) | |||||||
\(30\) | 1.69991e8 | + | 2.94433e8i | 0.233184 | + | 0.403886i | ||||
\(31\) | 2.67528e8 | + | 1.54457e8i | 0.301439 | + | 0.174036i | 0.643089 | − | 0.765791i | \(-0.277653\pi\) |
−0.341650 | + | 0.939827i | \(0.610986\pi\) | |||||||
\(32\) | 9.49063e7 | − | 1.64382e8i | 0.0883883 | − | 0.153093i | ||||
\(33\) | −1.19146e9 | + | 6.87891e8i | −0.922565 | + | 0.532643i | ||||
\(34\) | 3.24235e8i | 0.209888i | ||||||||
\(35\) | −1.41343e9 | + | 9.86479e8i | −0.768895 | + | 0.536636i | ||||
\(36\) | 5.49879e8 | 0.252611 | ||||||||
\(37\) | −8.51831e8 | − | 1.47542e9i | −0.332004 | − | 0.575048i | 0.650901 | − | 0.759163i | \(-0.274391\pi\) |
−0.982905 | + | 0.184115i | \(0.941058\pi\) | |||||||
\(38\) | 2.86663e9 | + | 1.65505e9i | 0.952073 | + | 0.549680i | ||||
\(39\) | −3.45336e8 | + | 5.98140e8i | −0.0981420 | + | 0.169987i | ||||
\(40\) | 1.17594e9 | − | 6.78927e8i | 0.287094 | − | 0.165754i | ||||
\(41\) | − | 5.37658e9i | − | 1.13189i | −0.824444 | − | 0.565944i | \(-0.808512\pi\) | ||
0.824444 | − | 0.565944i | \(-0.191488\pi\) | |||||||
\(42\) | −2.33790e8 | − | 2.72012e9i | −0.0425921 | − | 0.495555i | ||||
\(43\) | −9.19904e9 | −1.45523 | −0.727615 | − | 0.685985i | \(-0.759371\pi\) | ||||
−0.727615 | + | 0.685985i | \(0.759371\pi\) | |||||||
\(44\) | 2.74737e9 | + | 4.75858e9i | 0.378618 | + | 0.655785i | ||||
\(45\) | 3.40664e9 | + | 1.96682e9i | 0.410252 | + | 0.236859i | ||||
\(46\) | 5.16414e9 | − | 8.94455e9i | 0.545068 | − | 0.944086i | ||||
\(47\) | 9.45381e9 | − | 5.45816e9i | 0.877041 | − | 0.506360i | 0.00735915 | − | 0.999973i | \(-0.497657\pi\) |
0.869682 | + | 0.493613i | \(0.164324\pi\) | |||||||
\(48\) | 2.15076e9i | 0.175851i | ||||||||
\(49\) | 1.36383e10 | − | 2.36182e9i | 0.985334 | − | 0.170636i | ||||
\(50\) | −1.33492e9 | −0.0854350 | ||||||||
\(51\) | −1.83695e9 | − | 3.18170e9i | −0.104394 | − | 0.180816i | ||||
\(52\) | 2.38891e9 | + | 1.37924e9i | 0.120831 | + | 0.0697621i | ||||
\(53\) | 7.92816e9 | − | 1.37320e10i | 0.357698 | − | 0.619552i | −0.629877 | − | 0.776695i | \(-0.716895\pi\) |
0.987576 | + | 0.157143i | \(0.0502282\pi\) | |||||||
\(54\) | −1.60762e10 | + | 9.28161e9i | −0.648368 | + | 0.374335i | ||||
\(55\) | 3.93075e10i | 1.42003i | ||||||||
\(56\) | −1.08639e10 | + | 9.33732e8i | −0.352255 | + | 0.0302757i | ||||
\(57\) | −3.75067e10 | −1.09360 | ||||||||
\(58\) | −1.28768e10 | − | 2.23033e10i | −0.338253 | − | 0.585871i | ||||
\(59\) | 1.75457e10 | + | 1.01300e10i | 0.415967 | + | 0.240159i | 0.693350 | − | 0.720601i | \(-0.256134\pi\) |
−0.277383 | + | 0.960759i | \(0.589467\pi\) | |||||||
\(60\) | −7.69292e9 | + | 1.33245e10i | −0.164886 | + | 0.285591i | ||||
\(61\) | 2.38455e10 | − | 1.37672e10i | 0.462837 | − | 0.267219i | −0.250399 | − | 0.968143i | \(-0.580562\pi\) |
0.713236 | + | 0.700924i | \(0.247229\pi\) | |||||||
\(62\) | 1.39799e10i | 0.246124i | ||||||||
\(63\) | −1.80787e10 | − | 2.59032e10i | −0.289150 | − | 0.414296i | ||||
\(64\) | 8.58993e9 | 0.125000 | ||||||||
\(65\) | 9.86660e9 | + | 1.70895e10i | 0.130824 | + | 0.226594i | ||||
\(66\) | −5.39194e10 | − | 3.11304e10i | −0.652352 | − | 0.376635i | ||||
\(67\) | −3.35056e10 | + | 5.80333e10i | −0.370398 | + | 0.641547i | −0.989627 | − | 0.143663i | \(-0.954112\pi\) |
0.619229 | + | 0.785210i | \(0.287445\pi\) | |||||||
\(68\) | −1.27074e10 | + | 7.33661e9i | −0.128529 | + | 0.0742065i | ||||
\(69\) | 1.17030e11i | 1.08443i | ||||||||
\(70\) | −7.06442e10 | − | 3.30735e10i | −0.600466 | − | 0.281120i | ||||
\(71\) | 7.34393e10 | 0.573295 | 0.286648 | − | 0.958036i | \(-0.407459\pi\) | ||||
0.286648 | + | 0.958036i | \(0.407459\pi\) | |||||||
\(72\) | 1.24423e10 | + | 2.15508e10i | 0.0893114 | + | 0.154692i | ||||
\(73\) | 5.62093e10 | + | 3.24525e10i | 0.371425 | + | 0.214442i | 0.674081 | − | 0.738658i | \(-0.264540\pi\) |
−0.302656 | + | 0.953100i | \(0.597873\pi\) | |||||||
\(74\) | 3.85495e10 | − | 6.67697e10i | 0.234762 | − | 0.406620i | ||||
\(75\) | 1.30995e10 | − | 7.56300e9i | 0.0736015 | − | 0.0424939i | ||||
\(76\) | 1.49798e11i | 0.777365i | ||||||||
\(77\) | 1.33836e11 | − | 2.85871e11i | 0.642140 | − | 1.37160i | ||||
\(78\) | −3.12563e10 | −0.138794 | ||||||||
\(79\) | −3.16413e9 | − | 5.48043e9i | −0.0130164 | − | 0.0225451i | 0.859444 | − | 0.511230i | \(-0.170810\pi\) |
−0.872460 | + | 0.488685i | \(0.837477\pi\) | |||||||
\(80\) | 5.32168e10 | + | 3.07247e10i | 0.203006 | + | 0.117206i | ||||
\(81\) | 3.38251e10 | − | 5.85869e10i | 0.119765 | − | 0.207439i | ||||
\(82\) | 2.10718e11 | − | 1.21658e11i | 0.693136 | − | 0.400183i | ||||
\(83\) | − | 5.07191e11i | − | 1.55133i | −0.631147 | − | 0.775663i | \(-0.717415\pi\) | ||
0.631147 | − | 0.775663i | \(-0.282585\pi\) | |||||||
\(84\) | 1.01316e11 | − | 7.07119e10i | 0.288406 | − | 0.201288i | ||||
\(85\) | −1.04967e11 | −0.278317 | ||||||||
\(86\) | −2.08151e11 | − | 3.60527e11i | −0.514502 | − | 0.891143i | ||||
\(87\) | 2.52719e11 | + | 1.45907e11i | 0.582804 | + | 0.336482i | ||||
\(88\) | −1.24332e11 | + | 2.15349e11i | −0.267723 | + | 0.463710i | ||||
\(89\) | −5.49695e11 | + | 3.17367e11i | −1.10607 | + | 0.638589i | −0.937808 | − | 0.347154i | \(-0.887148\pi\) |
−0.168260 | + | 0.985743i | \(0.553815\pi\) | |||||||
\(90\) | 1.78016e11i | 0.334969i | ||||||||
\(91\) | −1.35696e10 | − | 1.57881e11i | −0.0238956 | − | 0.278023i | ||||
\(92\) | 4.67404e11 | 0.770843 | ||||||||
\(93\) | −7.92030e10 | − | 1.37184e11i | −0.122418 | − | 0.212033i | ||||
\(94\) | 4.27831e11 | + | 2.47008e11i | 0.620161 | + | 0.358050i | ||||
\(95\) | −5.35802e11 | + | 9.28037e11i | −0.728891 | + | 1.26248i | ||||
\(96\) | −8.42924e10 | + | 4.86662e10i | −0.107686 | + | 0.0621728i | ||||
\(97\) | 3.89725e11i | 0.467873i | 0.972252 | + | 0.233937i | \(0.0751609\pi\) | ||||
−0.972252 | + | 0.233937i | \(0.924839\pi\) | |||||||
\(98\) | 4.01164e11 | + | 4.81068e11i | 0.452861 | + | 0.543062i | ||||
\(99\) | −7.20367e11 | −0.765143 | ||||||||
\(100\) | −3.02058e10 | − | 5.23180e10i | −0.0302058 | − | 0.0523180i | ||||
\(101\) | 2.37129e9 | + | 1.36906e9i | 0.00223386 | + | 0.00128972i | 0.501117 | − | 0.865380i | \(-0.332923\pi\) |
−0.498883 | + | 0.866670i | \(0.666256\pi\) | |||||||
\(102\) | 8.31310e10 | − | 1.43987e11i | 0.0738180 | − | 0.127856i | ||||
\(103\) | −1.83996e12 | + | 1.06230e12i | −1.54094 | + | 0.889663i | −0.542161 | + | 0.840274i | \(0.682394\pi\) |
−0.998780 | + | 0.0493885i | \(0.984273\pi\) | |||||||
\(104\) | 1.24834e11i | 0.0986585i | ||||||||
\(105\) | 8.80605e11 | − | 7.56865e10i | 0.657121 | − | 0.0564784i | ||||
\(106\) | 7.17575e11 | 0.505862 | ||||||||
\(107\) | −9.41831e11 | − | 1.63130e12i | −0.627582 | − | 1.08700i | −0.988035 | − | 0.154227i | \(-0.950711\pi\) |
0.360453 | − | 0.932777i | \(-0.382622\pi\) | |||||||
\(108\) | −7.27527e11 | − | 4.20038e11i | −0.458465 | − | 0.264695i | ||||
\(109\) | 1.30905e12 | − | 2.26734e12i | 0.780544 | − | 1.35194i | −0.151081 | − | 0.988521i | \(-0.548276\pi\) |
0.931625 | − | 0.363420i | \(-0.118391\pi\) | |||||||
\(110\) | −1.54053e12 | + | 8.89426e11i | −0.869590 | + | 0.502058i | ||||
\(111\) | 8.73608e11i | 0.467067i | ||||||||
\(112\) | −2.82416e11 | − | 4.04647e11i | −0.143081 | − | 0.205007i | ||||
\(113\) | 2.59357e12 | 1.24574 | 0.622869 | − | 0.782326i | \(-0.285967\pi\) | ||||
0.622869 | + | 0.782326i | \(0.285967\pi\) | |||||||
\(114\) | −8.48681e11 | − | 1.46996e12i | −0.386647 | − | 0.669693i | ||||
\(115\) | 2.89569e12 | + | 1.67183e12i | 1.25189 | + | 0.722776i | ||||
\(116\) | 5.82739e11 | − | 1.00933e12i | 0.239181 | − | 0.414273i | ||||
\(117\) | −3.13189e11 | + | 1.80820e11i | −0.122093 | + | 0.0704906i | ||||
\(118\) | 9.16865e11i | 0.339636i | ||||||||
\(119\) | 7.63394e11 | + | 3.57399e11i | 0.268823 | + | 0.125855i | ||||
\(120\) | −6.96283e11 | −0.233184 | ||||||||
\(121\) | −2.02997e12 | − | 3.51600e12i | −0.646810 | − | 1.12031i | ||||
\(122\) | 1.07913e12 | + | 6.23034e11i | 0.327275 | + | 0.188952i | ||||
\(123\) | −1.37851e12 | + | 2.38765e12i | −0.398087 | + | 0.689508i | ||||
\(124\) | −5.47897e11 | + | 3.16329e11i | −0.150719 | + | 0.0870179i | ||||
\(125\) | − | 4.00899e12i | − | 1.05093i | ||||||
\(126\) | 6.06121e11 | − | 1.29466e12i | 0.151473 | − | 0.323543i | ||||
\(127\) | 6.80221e12 | 1.62117 | 0.810583 | − | 0.585623i | \(-0.199150\pi\) | ||||
0.810583 | + | 0.585623i | \(0.199150\pi\) | |||||||
\(128\) | 1.94368e11 | + | 3.36655e11i | 0.0441942 | + | 0.0765466i | ||||
\(129\) | 4.08513e12 | + | 2.35855e12i | 0.886478 | + | 0.511808i | ||||
\(130\) | −4.46511e11 | + | 7.73381e11i | −0.0925066 | + | 0.160226i | ||||
\(131\) | −7.06312e12 | + | 4.07789e12i | −1.39755 | + | 0.806878i | −0.994136 | − | 0.108137i | \(-0.965511\pi\) |
−0.403418 | + | 0.915016i | \(0.632178\pi\) | |||||||
\(132\) | − | 2.81760e12i | − | 0.532643i | ||||||
\(133\) | 7.05656e12 | − | 4.92500e12i | 1.27492 | − | 0.889808i | ||||
\(134\) | −3.03258e12 | −0.523821 | ||||||||
\(135\) | −3.00481e12 | − | 5.20448e12i | −0.496380 | − | 0.859755i | ||||
\(136\) | −5.75070e11 | − | 3.32017e11i | −0.0908840 | − | 0.0524719i | ||||
\(137\) | −4.07097e12 | + | 7.05112e12i | −0.615707 | + | 1.06644i | 0.374553 | + | 0.927206i | \(0.377796\pi\) |
−0.990260 | + | 0.139230i | \(0.955537\pi\) | |||||||
\(138\) | −4.58661e12 | + | 2.64808e12i | −0.664075 | + | 0.383404i | ||||
\(139\) | 1.24727e13i | 1.72930i | 0.502371 | + | 0.864652i | \(0.332461\pi\) | ||||
−0.502371 | + | 0.864652i | \(0.667539\pi\) | |||||||
\(140\) | −3.02284e11 | − | 3.51705e12i | −0.0401465 | − | 0.467100i | ||||
\(141\) | −5.59769e12 | −0.712352 | ||||||||
\(142\) | 1.66174e12 | + | 2.87822e12i | 0.202691 | + | 0.351070i | ||||
\(143\) | −3.12959e12 | − | 1.80687e12i | −0.365991 | − | 0.211305i | ||||
\(144\) | −5.63076e11 | + | 9.75276e11i | −0.0631527 | + | 0.109384i | ||||
\(145\) | 7.22043e12 | − | 4.16872e12i | 0.776882 | − | 0.448533i | ||||
\(146\) | 2.93726e12i | 0.303267i | ||||||||
\(147\) | −6.66208e12 | − | 2.44789e12i | −0.660246 | − | 0.242599i | ||||
\(148\) | 3.48910e12 | 0.332004 | ||||||||
\(149\) | −2.91858e12 | − | 5.05512e12i | −0.266719 | − | 0.461970i | 0.701294 | − | 0.712872i | \(-0.252606\pi\) |
−0.968012 | + | 0.250902i | \(0.919273\pi\) | |||||||
\(150\) | 5.92815e11 | + | 3.42262e11i | 0.0520441 | + | 0.0300477i | ||||
\(151\) | −4.06127e12 | + | 7.03433e12i | −0.342610 | + | 0.593419i | −0.984917 | − | 0.173029i | \(-0.944644\pi\) |
0.642306 | + | 0.766448i | \(0.277978\pi\) | |||||||
\(152\) | −5.87086e12 | + | 3.38954e12i | −0.476037 | + | 0.274840i | ||||
\(153\) | − | 1.92368e12i | − | 0.149963i | ||||||
\(154\) | 1.42322e13 | − | 1.22323e12i | 1.06696 | − | 0.0917033i | ||||
\(155\) | −4.52581e12 | −0.326367 | ||||||||
\(156\) | −7.07249e11 | − | 1.22499e12i | −0.0490710 | − | 0.0849934i | ||||
\(157\) | 2.00528e13 | + | 1.15775e13i | 1.33899 | + | 0.773065i | 0.986657 | − | 0.162811i | \(-0.0520562\pi\) |
0.352330 | + | 0.935876i | \(0.385390\pi\) | |||||||
\(158\) | 1.43192e11 | − | 2.48016e11i | 0.00920400 | − | 0.0159418i | ||||
\(159\) | −7.04151e12 | + | 4.06542e12i | −0.435796 | + | 0.251607i | ||||
\(160\) | 2.78088e12i | 0.165754i | ||||||||
\(161\) | −1.53671e13 | − | 2.20181e13i | −0.882343 | − | 1.26423i | ||||
\(162\) | 3.06150e12 | 0.169373 | ||||||||
\(163\) | −4.26181e12 | − | 7.38166e12i | −0.227231 | − | 0.393576i | 0.729755 | − | 0.683708i | \(-0.239634\pi\) |
−0.956987 | + | 0.290132i | \(0.906301\pi\) | |||||||
\(164\) | 9.53601e12 | + | 5.50562e12i | 0.490121 | + | 0.282972i | ||||
\(165\) | 1.00781e13 | − | 1.74557e13i | 0.499430 | − | 0.865037i | ||||
\(166\) | 1.98778e13 | − | 1.14764e13i | 0.949990 | − | 0.548477i | ||||
\(167\) | 2.04015e13i | 0.940509i | 0.882531 | + | 0.470255i | \(0.155838\pi\) | ||||
−0.882531 | + | 0.470255i | \(0.844162\pi\) | |||||||
\(168\) | 5.06386e12 | + | 2.37075e12i | 0.225230 | + | 0.105446i | ||||
\(169\) | 2.14839e13 | 0.922132 | ||||||||
\(170\) | −2.37514e12 | − | 4.11385e12i | −0.0983999 | − | 0.170434i | ||||
\(171\) | −1.70076e13 | − | 9.81936e12i | −0.680248 | − | 0.392741i | ||||
\(172\) | 9.41982e12 | − | 1.63156e13i | 0.363808 | − | 0.630133i | ||||
\(173\) | −7.36291e12 | + | 4.25098e12i | −0.274646 | + | 0.158567i | −0.630997 | − | 0.775785i | \(-0.717354\pi\) |
0.356351 | + | 0.934352i | \(0.384021\pi\) | |||||||
\(174\) | 1.32060e13i | 0.475857i | ||||||||
\(175\) | −1.47146e12 | + | 3.14300e12i | −0.0512295 | + | 0.109425i | ||||
\(176\) | −1.12532e13 | −0.378618 | ||||||||
\(177\) | −5.19449e12 | − | 8.99713e12i | −0.168929 | − | 0.292593i | ||||
\(178\) | −2.48764e13 | − | 1.43624e13i | −0.782108 | − | 0.451550i | ||||
\(179\) | 9.88862e12 | − | 1.71276e13i | 0.300620 | − | 0.520689i | −0.675657 | − | 0.737216i | \(-0.736140\pi\) |
0.976276 | + | 0.216528i | \(0.0694731\pi\) | |||||||
\(180\) | −6.97679e12 | + | 4.02805e12i | −0.205126 | + | 0.118430i | ||||
\(181\) | − | 2.46719e13i | − | 0.701667i | −0.936438 | − | 0.350833i | \(-0.885898\pi\) | ||
0.936438 | − | 0.350833i | \(-0.114102\pi\) | |||||||
\(182\) | 5.88060e12 | − | 4.10425e12i | 0.161805 | − | 0.112929i | ||||
\(183\) | −1.41192e13 | −0.375926 | ||||||||
\(184\) | 1.05762e13 | + | 1.83184e13i | 0.272534 | + | 0.472043i | ||||
\(185\) | 2.16159e13 | + | 1.24799e13i | 0.539190 | + | 0.311302i | ||||
\(186\) | 3.58432e12 | − | 6.20822e12i | 0.0865623 | − | 0.149930i | ||||
\(187\) | 1.66473e13 | − | 9.61130e12i | 0.389308 | − | 0.224767i | ||||
\(188\) | 2.23566e13i | 0.506360i | ||||||||
\(189\) | 4.13253e12 | + | 4.80815e13i | 0.0906661 | + | 1.05489i | ||||
\(190\) | −4.84953e13 | −1.03081 | ||||||||
\(191\) | 2.07509e13 | + | 3.59417e13i | 0.427403 | + | 0.740283i | 0.996641 | − | 0.0818891i | \(-0.0260953\pi\) |
−0.569239 | + | 0.822172i | \(0.692762\pi\) | |||||||
\(192\) | −3.81464e12 | − | 2.20238e12i | −0.0761458 | − | 0.0439628i | ||||
\(193\) | −2.98993e13 | + | 5.17871e13i | −0.578519 | + | 1.00202i | 0.417131 | + | 0.908846i | \(0.363036\pi\) |
−0.995650 | + | 0.0931772i | \(0.970298\pi\) | |||||||
\(194\) | −1.52741e13 | + | 8.81848e12i | −0.286513 | + | 0.165418i | ||||
\(195\) | − | 1.01188e13i | − | 0.184045i | ||||||
\(196\) | −9.77663e12 | + | 2.66077e13i | −0.172446 | + | 0.469321i | ||||
\(197\) | −5.28263e13 | −0.903760 | −0.451880 | − | 0.892079i | \(-0.649246\pi\) | ||||
−0.451880 | + | 0.892079i | \(0.649246\pi\) | |||||||
\(198\) | −1.63000e13 | − | 2.82325e13i | −0.270519 | − | 0.468552i | ||||
\(199\) | 6.62250e13 | + | 3.82350e13i | 1.06636 | + | 0.615663i | 0.927185 | − | 0.374605i | \(-0.122222\pi\) |
0.139175 | + | 0.990268i | \(0.455555\pi\) | |||||||
\(200\) | 1.36696e12 | − | 2.36764e12i | 0.0213588 | − | 0.0369944i | ||||
\(201\) | 2.97585e13 | − | 1.71811e13i | 0.451268 | − | 0.260539i | ||||
\(202\) | 1.23913e11i | 0.00182394i | ||||||||
\(203\) | −6.67059e13 | + | 5.73326e12i | −0.953209 | + | 0.0819267i | ||||
\(204\) | 7.52416e12 | 0.104394 | ||||||||
\(205\) | 3.93853e13 | + | 6.82174e13i | 0.530654 | + | 0.919119i | ||||
\(206\) | −8.32673e13 | − | 4.80744e13i | −1.08961 | − | 0.629087i | ||||
\(207\) | −3.06387e13 | + | 5.30677e13i | −0.389446 | + | 0.674541i | ||||
\(208\) | −4.89249e12 | + | 2.82468e12i | −0.0604157 | + | 0.0348810i | ||||
\(209\) | − | 1.96243e14i | − | 2.35459i | ||||||
\(210\) | 2.28921e13 | + | 3.27999e13i | 0.266913 | + | 0.382435i | ||||
\(211\) | 5.17345e13 | 0.586254 | 0.293127 | − | 0.956074i | \(-0.405304\pi\) | ||||
0.293127 | + | 0.956074i | \(0.405304\pi\) | |||||||
\(212\) | 1.62369e13 | + | 2.81231e13i | 0.178849 | + | 0.309776i | ||||
\(213\) | −3.26131e13 | − | 1.88292e13i | −0.349232 | − | 0.201629i | ||||
\(214\) | 4.26224e13 | − | 7.38242e13i | 0.443768 | − | 0.768628i | ||||
\(215\) | 1.16716e14 | − | 6.73862e13i | 1.18168 | − | 0.682244i | ||||
\(216\) | − | 3.80175e13i | − | 0.374335i | ||||||
\(217\) | 3.29149e13 | + | 1.54098e13i | 0.315235 | + | 0.147583i | ||||
\(218\) | 1.18482e14 | 1.10386 | ||||||||
\(219\) | −1.66410e13 | − | 2.88231e13i | −0.150840 | − | 0.261262i | ||||
\(220\) | −6.97165e13 | − | 4.02508e13i | −0.614893 | − | 0.355009i | ||||
\(221\) | 4.82508e12 | − | 8.35729e12i | 0.0414144 | − | 0.0717318i | ||||
\(222\) | −3.42383e13 | + | 1.97675e13i | −0.286019 | + | 0.165133i | ||||
\(223\) | − | 6.07846e13i | − | 0.494270i | −0.968981 | − | 0.247135i | \(-0.920511\pi\) | ||
0.968981 | − | 0.247135i | \(-0.0794891\pi\) | |||||||
\(224\) | 9.46853e12 | − | 2.02245e13i | 0.0749539 | − | 0.160100i | ||||
\(225\) | 7.92005e12 | 0.0610425 | ||||||||
\(226\) | 5.86857e13 | + | 1.01647e14i | 0.440435 | + | 0.762856i | ||||
\(227\) | −1.40116e14 | − | 8.08961e13i | −1.02408 | − | 0.591251i | −0.108795 | − | 0.994064i | \(-0.534699\pi\) |
−0.915282 | + | 0.402813i | \(0.868033\pi\) | |||||||
\(228\) | 3.84069e13 | − | 6.65227e13i | 0.273401 | − | 0.473545i | ||||
\(229\) | 7.46197e13 | − | 4.30817e13i | 0.517417 | − | 0.298731i | −0.218460 | − | 0.975846i | \(-0.570103\pi\) |
0.735877 | + | 0.677115i | \(0.236770\pi\) | |||||||
\(230\) | 1.51316e14i | 1.02216i | ||||||||
\(231\) | −1.32729e14 | + | 9.26359e13i | −0.873564 | + | 0.609688i | ||||
\(232\) | 5.27435e13 | 0.338253 | ||||||||
\(233\) | 7.78131e13 | + | 1.34776e14i | 0.486314 | + | 0.842321i | 0.999876 | − | 0.0157316i | \(-0.00500772\pi\) |
−0.513562 | + | 0.858052i | \(0.671674\pi\) | |||||||
\(234\) | −1.41733e13 | − | 8.18298e12i | −0.0863330 | − | 0.0498444i | ||||
\(235\) | −7.99658e13 | + | 1.38505e14i | −0.474785 | + | 0.822352i | ||||
\(236\) | −3.59336e13 | + | 2.07463e13i | −0.207983 | + | 0.120079i | ||||
\(237\) | 3.24502e12i | 0.0183116i | ||||||||
\(238\) | 3.26654e12 | + | 3.80058e13i | 0.0179732 | + | 0.209117i | ||||
\(239\) | 2.13466e14 | 1.14536 | 0.572679 | − | 0.819780i | \(-0.305904\pi\) | ||||
0.572679 | + | 0.819780i | \(0.305904\pi\) | |||||||
\(240\) | −1.57551e13 | − | 2.72886e13i | −0.0824429 | − | 0.142795i | ||||
\(241\) | −9.99225e13 | − | 5.76903e13i | −0.509989 | − | 0.294442i | 0.222840 | − | 0.974855i | \(-0.428467\pi\) |
−0.732829 | + | 0.680413i | \(0.761801\pi\) | |||||||
\(242\) | 9.18658e13 | − | 1.59116e14i | 0.457364 | − | 0.792177i | ||||
\(243\) | 1.58746e14 | − | 9.16518e13i | 0.771017 | − | 0.445147i | ||||
\(244\) | 5.63906e13i | 0.267219i | ||||||||
\(245\) | −1.55740e14 | + | 1.29872e14i | −0.720117 | + | 0.600507i | ||||
\(246\) | −1.24768e14 | −0.562981 | ||||||||
\(247\) | −4.92590e13 | − | 8.53192e13i | −0.216922 | − | 0.375720i | ||||
\(248\) | −2.47950e13 | − | 1.43154e13i | −0.106575 | − | 0.0615309i | ||||
\(249\) | −1.30039e14 | + | 2.25235e14i | −0.545605 | + | 0.945016i | ||||
\(250\) | 1.57120e14 | − | 9.07132e13i | 0.643563 | − | 0.371561i | ||||
\(251\) | − | 3.21279e14i | − | 1.28481i | −0.766364 | − | 0.642406i | \(-0.777936\pi\) | ||
0.766364 | − | 0.642406i | \(-0.222064\pi\) | |||||||
\(252\) | 6.44550e13 | − | 5.53980e12i | 0.251683 | − | 0.0216317i | ||||
\(253\) | −6.12322e14 | −2.33484 | ||||||||
\(254\) | 1.53916e14 | + | 2.66591e14i | 0.573169 | + | 0.992758i | ||||
\(255\) | 4.66141e13 | + | 2.69126e13i | 0.169541 | + | 0.0978848i | ||||
\(256\) | −8.79609e12 | + | 1.52353e13i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −2.96288e14 | + | 1.71062e14i | −1.02829 | + | 0.593683i | −0.916494 | − | 0.400049i | \(-0.868993\pi\) |
−0.111795 | + | 0.993731i | \(0.535660\pi\) | |||||||
\(258\) | 2.13472e14i | 0.723806i | ||||||||
\(259\) | −1.14713e14 | − | 1.64362e14i | −0.380027 | − | 0.544505i | ||||
\(260\) | −4.04136e13 | −0.130824 | ||||||||
\(261\) | 7.63979e13 | + | 1.32325e14i | 0.241679 | + | 0.418600i | ||||
\(262\) | −3.19640e14 | − | 1.84544e14i | −0.988220 | − | 0.570549i | ||||
\(263\) | 5.15761e13 | − | 8.93325e13i | 0.155853 | − | 0.269945i | −0.777517 | − | 0.628863i | \(-0.783521\pi\) |
0.933369 | + | 0.358918i | \(0.116854\pi\) | |||||||
\(264\) | 1.10427e14 | − | 6.37551e13i | 0.326176 | − | 0.188318i | ||||
\(265\) | 2.32306e14i | 0.670788i | ||||||||
\(266\) | 3.52692e14 | + | 1.65120e14i | 0.995647 | + | 0.466132i | ||||
\(267\) | 3.25480e14 | 0.898373 | ||||||||
\(268\) | −6.86194e13 | − | 1.18852e14i | −0.185199 | − | 0.320774i | ||||
\(269\) | 4.05993e14 | + | 2.34400e14i | 1.07153 | + | 0.618650i | 0.928600 | − | 0.371083i | \(-0.121013\pi\) |
0.142933 | + | 0.989732i | \(0.454347\pi\) | |||||||
\(270\) | 1.35982e14 | − | 2.35528e14i | 0.350993 | − | 0.607938i | ||||
\(271\) | 3.78122e14 | − | 2.18309e14i | 0.954589 | − | 0.551132i | 0.0600855 | − | 0.998193i | \(-0.480863\pi\) |
0.894503 | + | 0.447061i | \(0.147529\pi\) | |||||||
\(272\) | − | 3.00507e13i | − | 0.0742065i | ||||||
\(273\) | −3.44532e13 | + | 7.35912e13i | −0.0832251 | + | 0.177767i | ||||
\(274\) | −3.68462e14 | −0.870741 | ||||||||
\(275\) | 3.95711e13 | + | 6.85391e13i | 0.0914917 | + | 0.158468i | ||||
\(276\) | −2.07566e14 | − | 1.19838e14i | −0.469572 | − | 0.271107i | ||||
\(277\) | 9.87191e13 | − | 1.70986e14i | 0.218536 | − | 0.378515i | −0.735825 | − | 0.677172i | \(-0.763205\pi\) |
0.954361 | + | 0.298657i | \(0.0965387\pi\) | |||||||
\(278\) | −4.88828e14 | + | 2.82225e14i | −1.05898 | + | 0.611401i | ||||
\(279\) | − | 8.29422e13i | − | 0.175853i | ||||||
\(280\) | 1.31000e14 | − | 9.14287e13i | 0.271845 | − | 0.189729i | ||||
\(281\) | 8.30058e13 | 0.168605 | 0.0843025 | − | 0.996440i | \(-0.473134\pi\) | ||||
0.0843025 | + | 0.996440i | \(0.473134\pi\) | |||||||
\(282\) | −1.26661e14 | − | 2.19384e14i | −0.251854 | − | 0.436225i | ||||
\(283\) | 6.14491e14 | + | 3.54776e14i | 1.19618 | + | 0.690615i | 0.959701 | − | 0.281022i | \(-0.0906733\pi\) |
0.236479 | + | 0.971637i | \(0.424007\pi\) | |||||||
\(284\) | −7.52019e13 | + | 1.30253e14i | −0.143324 | + | 0.248244i | ||||
\(285\) | 4.75881e14 | − | 2.74750e14i | 0.888033 | − | 0.512706i | ||||
\(286\) | − | 1.63539e14i | − | 0.298831i | ||||||
\(287\) | −5.41669e13 | − | 6.30226e14i | −0.0969264 | − | 1.12773i | ||||
\(288\) | −5.09638e13 | −0.0893114 | ||||||||
\(289\) | −2.65645e14 | − | 4.60111e14i | −0.455947 | − | 0.789724i | ||||
\(290\) | 3.26759e14 | + | 1.88655e14i | 0.549339 | + | 0.317161i | ||||
\(291\) | 9.99221e13 | − | 1.73070e14i | 0.164552 | − | 0.285013i | ||||
\(292\) | −1.15117e14 | + | 6.64626e13i | −0.185712 | + | 0.107221i | ||||
\(293\) | − | 1.90883e14i | − | 0.301691i | −0.988557 | − | 0.150845i | \(-0.951800\pi\) | ||
0.988557 | − | 0.150845i | \(-0.0481996\pi\) | |||||||
\(294\) | −5.48082e13 | − | 3.16488e14i | −0.0848714 | − | 0.490088i | ||||
\(295\) | −2.96824e14 | −0.450367 | ||||||||
\(296\) | 7.89494e13 | + | 1.36744e14i | 0.117381 | + | 0.203310i | ||||
\(297\) | 9.53094e14 | + | 5.50269e14i | 1.38866 | + | 0.801745i | ||||
\(298\) | 1.32080e14 | − | 2.28769e14i | 0.188599 | − | 0.326662i | ||||
\(299\) | −2.66215e14 | + | 1.53699e14i | −0.372568 | + | 0.215102i | ||||
\(300\) | 3.09780e13i | 0.0424939i | ||||||||
\(301\) | −1.07828e15 | + | 9.26766e13i | −1.44989 | + | 0.124615i | ||||
\(302\) | −3.67585e14 | −0.484524 | ||||||||
\(303\) | −7.02031e11 | − | 1.21595e12i | −0.000907195 | − | 0.00157131i | ||||
\(304\) | −2.65685e14 | − | 1.53393e14i | −0.336609 | − | 0.194341i | ||||
\(305\) | −2.01699e14 | + | 3.49354e14i | −0.250556 | + | 0.433976i | ||||
\(306\) | 7.53924e13 | − | 4.35278e13i | 0.0918331 | − | 0.0530199i | ||||
\(307\) | 6.74575e14i | 0.805750i | 0.915255 | + | 0.402875i | \(0.131989\pi\) | ||||
−0.915255 | + | 0.402875i | \(0.868011\pi\) | |||||||
\(308\) | 3.69979e14 | + | 5.30107e14i | 0.433383 | + | 0.620954i | ||||
\(309\) | 1.08946e15 | 1.25159 | ||||||||
\(310\) | −1.02407e14 | − | 1.77375e14i | −0.115388 | − | 0.199858i | ||||
\(311\) | −5.62583e14 | − | 3.24807e14i | −0.621762 | − | 0.358974i | 0.155793 | − | 0.987790i | \(-0.450207\pi\) |
−0.777555 | + | 0.628815i | \(0.783540\pi\) | |||||||
\(312\) | 3.20064e13 | − | 5.54368e13i | 0.0346984 | − | 0.0600994i | ||||
\(313\) | −1.00138e15 | + | 5.78145e14i | −1.06496 | + | 0.614853i | −0.926799 | − | 0.375558i | \(-0.877451\pi\) |
−0.138157 | + | 0.990410i | \(0.544118\pi\) | |||||||
\(314\) | 1.04787e15i | 1.09328i | ||||||||
\(315\) | 4.19130e14 | + | 1.96224e14i | 0.429028 | + | 0.200858i | ||||
\(316\) | 1.29603e13 | 0.0130164 | ||||||||
\(317\) | −8.96159e14 | − | 1.55219e15i | −0.883140 | − | 1.52964i | −0.847831 | − | 0.530266i | \(-0.822092\pi\) |
−0.0353083 | − | 0.999376i | \(-0.511241\pi\) | |||||||
\(318\) | −3.18662e14 | − | 1.83980e14i | −0.308154 | − | 0.177913i | ||||
\(319\) | −7.63416e14 | + | 1.32228e15i | −0.724464 | + | 1.25481i | ||||
\(320\) | −1.08988e14 | + | 6.29242e13i | −0.101503 | + | 0.0586028i | ||||
\(321\) | 9.65909e14i | 0.882889i | ||||||||
\(322\) | 5.15211e14 | − | 1.10048e15i | 0.462222 | − | 0.987294i | ||||
\(323\) | 5.24049e14 | 0.461484 | ||||||||
\(324\) | 6.92739e13 | + | 1.19986e14i | 0.0598824 | + | 0.103719i | ||||
\(325\) | 3.44081e13 | + | 1.98655e13i | 0.0291985 | + | 0.0168578i | ||||
\(326\) | 1.92867e14 | − | 3.34056e14i | 0.160677 | − | 0.278300i | ||||
\(327\) | −1.16265e15 | + | 6.71258e14i | −0.950963 | + | 0.549038i | ||||
\(328\) | 4.98312e14i | 0.400183i | ||||||||
\(329\) | 1.05316e15 | − | 7.35032e14i | 0.830458 | − | 0.579603i | ||||
\(330\) | 9.12164e14 | 0.706300 | ||||||||
\(331\) | −1.33115e14 | − | 2.30561e14i | −0.101218 | − | 0.175315i | 0.810969 | − | 0.585089i | \(-0.198941\pi\) |
−0.912187 | + | 0.409775i | \(0.865607\pi\) | |||||||
\(332\) | 8.99565e14 | + | 5.19364e14i | 0.671744 | + | 0.387832i | ||||
\(333\) | −2.28713e14 | + | 3.96142e14i | −0.167736 | + | 0.290527i | ||||
\(334\) | −7.99572e14 | + | 4.61633e14i | −0.575942 | + | 0.332520i | ||||
\(335\) | − | 9.81759e14i | − | 0.694602i | ||||||
\(336\) | 2.16681e13 | + | 2.52106e14i | 0.0150586 | + | 0.175205i | ||||
\(337\) | −2.34808e14 | −0.160300 | −0.0801498 | − | 0.996783i | \(-0.525540\pi\) | ||||
−0.0801498 | + | 0.996783i | \(0.525540\pi\) | |||||||
\(338\) | 4.86125e14 | + | 8.41994e14i | 0.326023 | + | 0.564688i | ||||
\(339\) | −1.15176e15 | − | 6.64968e14i | −0.758862 | − | 0.438129i | ||||
\(340\) | 1.07486e14 | − | 1.86172e14i | 0.0695793 | − | 0.120515i | ||||
\(341\) | 7.17771e14 | − | 4.14405e14i | 0.456520 | − | 0.263572i | ||||
\(342\) | − | 8.88747e14i | − | 0.555420i | ||||||
\(343\) | 1.57484e15 | − | 4.14246e14i | 0.967103 | − | 0.254386i | ||||
\(344\) | 8.52585e14 | 0.514502 | ||||||||
\(345\) | −8.57282e14 | − | 1.48486e15i | −0.508404 | − | 0.880582i | ||||
\(346\) | −3.33207e14 | − | 1.92377e14i | −0.194204 | − | 0.112124i | ||||
\(347\) | −6.63393e14 | + | 1.14903e15i | −0.380009 | + | 0.658195i | −0.991063 | − | 0.133394i | \(-0.957413\pi\) |
0.611054 | + | 0.791589i | \(0.290746\pi\) | |||||||
\(348\) | −5.17569e14 | + | 2.98818e14i | −0.291402 | + | 0.168241i | ||||
\(349\) | − | 2.62751e15i | − | 1.45409i | −0.686590 | − | 0.727045i | \(-0.740893\pi\) | ||
0.686590 | − | 0.727045i | \(-0.259107\pi\) | |||||||
\(350\) | −1.56475e14 | + | 1.34488e13i | −0.0851212 | + | 0.00731602i | ||||
\(351\) | 5.52494e14 | 0.295451 | ||||||||
\(352\) | −2.54631e14 | − | 4.41034e14i | −0.133862 | − | 0.231855i | ||||
\(353\) | 2.19800e15 | + | 1.26902e15i | 1.13601 | + | 0.655873i | 0.945438 | − | 0.325801i | \(-0.105634\pi\) |
0.190567 | + | 0.981674i | \(0.438967\pi\) | |||||||
\(354\) | 2.35076e14 | − | 4.07163e14i | 0.119451 | − | 0.206895i | ||||
\(355\) | −9.31789e14 | + | 5.37968e14i | −0.465530 | + | 0.268774i | ||||
\(356\) | − | 1.29993e15i | − | 0.638589i | ||||||
\(357\) | −2.47376e14 | − | 3.54442e14i | −0.119495 | − | 0.171213i | ||||
\(358\) | 8.95016e14 | 0.425141 | ||||||||
\(359\) | −5.80208e14 | − | 1.00495e15i | −0.271030 | − | 0.469437i | 0.698096 | − | 0.716004i | \(-0.254031\pi\) |
−0.969126 | + | 0.246567i | \(0.920698\pi\) | |||||||
\(360\) | −3.15733e14 | − | 1.82289e14i | −0.145046 | − | 0.0837423i | ||||
\(361\) | 1.56834e15 | − | 2.71644e15i | 0.708592 | − | 1.22732i | ||||
\(362\) | 9.66936e14 | − | 5.58261e14i | 0.429681 | − | 0.248077i | ||||
\(363\) | 2.08186e15i | 0.909938i | ||||||||
\(364\) | 2.93916e14 | + | 1.37603e14i | 0.126362 | + | 0.0591587i | ||||
\(365\) | −9.50902e14 | −0.402141 | ||||||||
\(366\) | −3.19481e14 | − | 5.53357e14i | −0.132910 | − | 0.230207i | ||||
\(367\) | 1.55002e15 | + | 8.94904e14i | 0.634367 | + | 0.366252i | 0.782441 | − | 0.622724i | \(-0.213974\pi\) |
−0.148074 | + | 0.988976i | \(0.547307\pi\) | |||||||
\(368\) | −4.78622e14 | + | 8.28998e14i | −0.192711 | + | 0.333785i | ||||
\(369\) | −1.25018e15 | + | 7.21794e14i | −0.495240 | + | 0.285927i | ||||
\(370\) | 1.12955e15i | 0.440247i | ||||||||
\(371\) | 7.90970e14 | − | 1.68949e15i | 0.303331 | − | 0.647907i | ||||
\(372\) | 3.24415e14 | 0.122418 | ||||||||
\(373\) | 2.39198e15 | + | 4.14303e15i | 0.888187 | + | 1.53838i | 0.842017 | + | 0.539451i | \(0.181368\pi\) |
0.0461697 | + | 0.998934i | \(0.485298\pi\) | |||||||
\(374\) | 7.53369e14 | + | 4.34958e14i | 0.275282 | + | 0.158934i | ||||
\(375\) | −1.02787e15 | + | 1.78032e15i | −0.369616 | + | 0.640194i | ||||
\(376\) | −8.76197e14 | + | 5.05873e14i | −0.310081 | + | 0.179025i | ||||
\(377\) | 7.66503e14i | 0.266972i | ||||||||
\(378\) | −1.79090e15 | + | 1.24992e15i | −0.613931 | + | 0.428482i | ||||
\(379\) | −1.31568e15 | −0.443931 | −0.221965 | − | 0.975055i | \(-0.571247\pi\) | ||||
−0.221965 | + | 0.975055i | \(0.571247\pi\) | |||||||
\(380\) | −1.09732e15 | − | 1.90062e15i | −0.364446 | − | 0.631239i | ||||
\(381\) | −3.02074e15 | − | 1.74403e15i | −0.987560 | − | 0.570168i | ||||
\(382\) | −9.39080e14 | + | 1.62653e15i | −0.302219 | + | 0.523459i | ||||
\(383\) | −1.31260e15 | + | 7.57832e14i | −0.415854 | + | 0.240093i | −0.693302 | − | 0.720647i | \(-0.743845\pi\) |
0.277448 | + | 0.960741i | \(0.410511\pi\) | |||||||
\(384\) | − | 1.99337e14i | − | 0.0621728i | ||||||
\(385\) | 3.96006e14 | + | 4.60750e15i | 0.121601 | + | 1.41482i | ||||
\(386\) | −2.70618e15 | −0.818149 | ||||||||
\(387\) | 1.23495e15 | + | 2.13900e15i | 0.367607 | + | 0.636714i | ||||
\(388\) | −6.91225e14 | − | 3.99079e14i | −0.202595 | − | 0.116968i | ||||
\(389\) | 1.38559e15 | − | 2.39991e15i | 0.399886 | − | 0.692622i | −0.593826 | − | 0.804594i | \(-0.702383\pi\) |
0.993711 | + | 0.111971i | \(0.0357165\pi\) | |||||||
\(390\) | 3.96576e14 | − | 2.28963e14i | 0.112704 | − | 0.0650696i | ||||
\(391\) | − | 1.63515e15i | − | 0.457612i | ||||||
\(392\) | −1.26402e15 | + | 2.18898e14i | −0.348368 | + | 0.0603290i | ||||
\(393\) | 4.18214e15 | 1.13512 | ||||||||
\(394\) | −1.19532e15 | − | 2.07036e15i | −0.319527 | − | 0.553438i | ||||
\(395\) | 8.02921e13 | + | 4.63567e13i | 0.0211393 | + | 0.0122048i | ||||
\(396\) | 7.37656e14 | − | 1.27766e15i | 0.191286 | − | 0.331317i | ||||
\(397\) | 3.04662e15 | − | 1.75897e15i | 0.778172 | − | 0.449278i | −0.0576103 | − | 0.998339i | \(-0.518348\pi\) |
0.835782 | + | 0.549062i | \(0.185015\pi\) | |||||||
\(398\) | 3.46064e15i | 0.870679i | ||||||||
\(399\) | −4.39642e15 | + | 3.77865e14i | −1.08959 | + | 0.0936482i | ||||
\(400\) | 1.23723e14 | 0.0302058 | ||||||||
\(401\) | −2.45890e15 | − | 4.25894e15i | −0.591391 | − | 1.02432i | −0.994045 | − | 0.108967i | \(-0.965246\pi\) |
0.402655 | − | 0.915352i | \(-0.368087\pi\) | |||||||
\(402\) | 1.34671e15 | + | 7.77526e14i | 0.319094 | + | 0.184229i | ||||
\(403\) | 2.08041e14 | − | 3.60337e14i | 0.0485644 | − | 0.0841160i | ||||
\(404\) | −4.85640e12 | + | 2.80384e12i | −0.00111693 | + | 0.000644860i | ||||
\(405\) | 9.91123e14i | 0.224594i | ||||||||
\(406\) | −1.73408e15 | − | 2.48460e15i | −0.387180 | − | 0.554754i | ||||
\(407\) | −4.57089e15 | −1.00562 | ||||||||
\(408\) | 1.70252e14 | + | 2.94886e14i | 0.0369090 | + | 0.0639282i | ||||
\(409\) | 2.52087e15 | + | 1.45543e15i | 0.538532 | + | 0.310921i | 0.744484 | − | 0.667641i | \(-0.232696\pi\) |
−0.205952 | + | 0.978562i | \(0.566029\pi\) | |||||||
\(410\) | −1.78238e15 | + | 3.08717e15i | −0.375229 | + | 0.649915i | ||||
\(411\) | 3.61569e15 | − | 2.08752e15i | 0.750136 | − | 0.433091i | ||||
\(412\) | − | 4.35120e15i | − | 0.889663i | ||||||
\(413\) | 2.15871e15 | + | 1.01064e15i | 0.435004 | + | 0.203656i | ||||
\(414\) | −2.77310e15 | −0.550760 | ||||||||
\(415\) | 3.71535e15 | + | 6.43518e15i | 0.727296 | + | 1.25971i | ||||
\(416\) | −2.21409e14 | − | 1.27830e14i | −0.0427204 | − | 0.0246646i | ||||
\(417\) | 3.19789e15 | − | 5.53890e15i | 0.608201 | − | 1.05343i | ||||
\(418\) | 7.69111e15 | − | 4.44046e15i | 1.44189 | − | 0.832474i | ||||
\(419\) | − | 1.87176e14i | − | 0.0345912i | −0.999850 | − | 0.0172956i | \(-0.994494\pi\) | ||
0.999850 | − | 0.0172956i | \(-0.00550564\pi\) | |||||||
\(420\) | −7.67500e14 | + | 1.63936e15i | −0.139824 | + | 0.298661i | ||||
\(421\) | −2.95025e15 | −0.529866 | −0.264933 | − | 0.964267i | \(-0.585350\pi\) | ||||
−0.264933 | + | 0.964267i | \(0.585350\pi\) | |||||||
\(422\) | 1.17062e15 | + | 2.02757e15i | 0.207272 | + | 0.359006i | ||||
\(423\) | −2.53830e15 | − | 1.46549e15i | −0.443100 | − | 0.255824i | ||||
\(424\) | −7.34797e14 | + | 1.27271e15i | −0.126466 | + | 0.219045i | ||||
\(425\) | −1.83028e14 | + | 1.05671e14i | −0.0310587 | + | 0.0179317i | ||||
\(426\) | − | 1.70422e15i | − | 0.285147i | ||||||
\(427\) | 2.65640e15 | − | 1.85399e15i | 0.438254 | − | 0.305871i | ||||
\(428\) | 3.85774e15 | 0.627582 | ||||||||
\(429\) | 9.26530e14 | + | 1.60480e15i | 0.148633 | + | 0.257440i | ||||
\(430\) | 5.28197e15 | + | 3.04955e15i | 0.835575 | + | 0.482420i | ||||
\(431\) | 9.33046e14 | − | 1.61608e15i | 0.145559 | − | 0.252116i | −0.784022 | − | 0.620733i | \(-0.786835\pi\) |
0.929581 | + | 0.368617i | \(0.120169\pi\) | |||||||
\(432\) | 1.48997e15 | − | 8.60237e14i | 0.229233 | − | 0.132348i | ||||
\(433\) | 6.43623e15i | 0.976572i | 0.872684 | + | 0.488286i | \(0.162378\pi\) | ||||
−0.872684 | + | 0.488286i | \(0.837622\pi\) | |||||||
\(434\) | 1.40842e14 | + | 1.63868e15i | 0.0210762 | + | 0.245220i | ||||
\(435\) | −4.27529e15 | −0.631001 | ||||||||
\(436\) | 2.68094e15 | + | 4.64352e15i | 0.390272 | + | 0.675971i | ||||
\(437\) | −1.44567e16 | − | 8.34659e15i | −2.07578 | − | 1.19845i | ||||
\(438\) | 7.53088e14 | − | 1.30439e15i | 0.106660 | − | 0.184740i | ||||
\(439\) | 3.66616e15 | − | 2.11666e15i | 0.512181 | − | 0.295708i | −0.221548 | − | 0.975149i | \(-0.571111\pi\) |
0.733730 | + | 0.679441i | \(0.237778\pi\) | |||||||
\(440\) | − | 3.64309e15i | − | 0.502058i | ||||||
\(441\) | −2.38009e15 | − | 2.85416e15i | −0.323565 | − | 0.388013i | ||||
\(442\) | 4.36717e14 | 0.0585688 | ||||||||
\(443\) | 3.53638e15 | + | 6.12518e15i | 0.467882 | + | 0.810395i | 0.999326 | − | 0.0366980i | \(-0.0116840\pi\) |
−0.531445 | + | 0.847093i | \(0.678351\pi\) | |||||||
\(444\) | −1.54945e15 | − | 8.94575e14i | −0.202246 | − | 0.116767i | ||||
\(445\) | 4.64964e15 | − | 8.05342e15i | 0.598769 | − | 1.03710i | ||||
\(446\) | 2.38226e15 | − | 1.37540e15i | 0.302677 | − | 0.174751i | ||||
\(447\) | 2.99319e15i | 0.375223i | ||||||||
\(448\) | 1.00689e15 | − | 8.65401e13i | 0.124541 | − | 0.0107041i | ||||
\(449\) | −7.31324e15 | −0.892549 | −0.446274 | − | 0.894896i | \(-0.647249\pi\) | ||||
−0.446274 | + | 0.894896i | \(0.647249\pi\) | |||||||
\(450\) | 1.79210e14 | + | 3.10401e14i | 0.0215818 | + | 0.0373808i | ||||
\(451\) | −1.24926e16 | − | 7.21262e15i | −1.48455 | − | 0.857105i | ||||
\(452\) | −2.65581e15 | + | 4.60000e15i | −0.311435 | + | 0.539421i | ||||
\(453\) | 3.60708e15 | − | 2.08255e15i | 0.417414 | − | 0.240994i | ||||
\(454\) | − | 7.32188e15i | − | 0.836156i | ||||||
\(455\) | 1.32870e15 | + | 1.90377e15i | 0.149747 | + | 0.214559i | ||||
\(456\) | 3.47620e15 | 0.386647 | ||||||||
\(457\) | 6.51453e15 | + | 1.12835e16i | 0.715131 | + | 1.23864i | 0.962909 | + | 0.269827i | \(0.0869665\pi\) |
−0.247777 | + | 0.968817i | \(0.579700\pi\) | |||||||
\(458\) | 3.37690e15 | + | 1.94966e15i | 0.365869 | + | 0.211235i | ||||
\(459\) | −1.46945e15 | + | 2.54516e15i | −0.157137 | + | 0.272169i | ||||
\(460\) | −5.93037e15 | + | 3.42390e15i | −0.625943 | + | 0.361388i | ||||
\(461\) | − | 2.39251e15i | − | 0.249257i | −0.992203 | − | 0.124629i | \(-0.960226\pi\) | ||
0.992203 | − | 0.124629i | \(-0.0397739\pi\) | |||||||
\(462\) | −6.63389e15 | − | 3.10579e15i | −0.682208 | − | 0.319389i | ||||
\(463\) | 7.43873e15 | 0.755115 | 0.377557 | − | 0.925986i | \(-0.376764\pi\) | ||||
0.377557 | + | 0.925986i | \(0.376764\pi\) | |||||||
\(464\) | 1.19345e15 | + | 2.06712e15i | 0.119590 | + | 0.207137i | ||||
\(465\) | 2.00983e15 | + | 1.16038e15i | 0.198812 | + | 0.114784i | ||||
\(466\) | −3.52142e15 | + | 6.09927e15i | −0.343876 | + | 0.595611i | ||||
\(467\) | −2.18404e15 | + | 1.26096e15i | −0.210552 | + | 0.121562i | −0.601568 | − | 0.798822i | \(-0.705457\pi\) |
0.391016 | + | 0.920384i | \(0.372124\pi\) | |||||||
\(468\) | − | 7.40639e14i | − | 0.0704906i | ||||||
\(469\) | −3.34275e15 | + | 7.14004e15i | −0.314100 | + | 0.670909i | ||||
\(470\) | −7.23768e15 | −0.671448 | ||||||||
\(471\) | −5.93672e15 | − | 1.02827e16i | −0.543777 | − | 0.941850i | ||||
\(472\) | −1.62617e15 | − | 9.38869e14i | −0.147067 | − | 0.0849089i | ||||
\(473\) | −1.23404e16 | + | 2.13742e16i | −1.10195 | + | 1.90864i | ||||
\(474\) | −1.27178e14 | + | 7.34264e13i | −0.0112135 | + | 0.00647414i | ||||
\(475\) | 2.15758e15i | 0.187848i | ||||||||
\(476\) | −1.41561e15 | + | 9.87995e14i | −0.121703 | + | 0.0849402i | ||||
\(477\) | −4.25735e15 | −0.361434 | ||||||||
\(478\) | 4.83018e15 | + | 8.36612e15i | 0.404945 | + | 0.701385i | ||||
\(479\) | 2.43833e15 | + | 1.40777e15i | 0.201873 | + | 0.116552i | 0.597529 | − | 0.801847i | \(-0.296149\pi\) |
−0.395656 | + | 0.918399i | \(0.629483\pi\) | |||||||
\(480\) | 7.12994e14 | − | 1.23494e15i | 0.0582960 | − | 0.100972i | ||||
\(481\) | −1.98726e15 | + | 1.14734e15i | −0.160466 | + | 0.0926452i | ||||
\(482\) | − | 5.22153e15i | − | 0.416404i | ||||||
\(483\) | 1.17903e15 | + | 1.37178e16i | 0.0928625 | + | 1.08045i | ||||
\(484\) | 8.31474e15 | 0.646810 | ||||||||
\(485\) | −2.85487e15 | − | 4.94479e15i | −0.219349 | − | 0.379924i | ||||
\(486\) | 7.18400e15 | + | 4.14769e15i | 0.545191 | + | 0.314766i | ||||
\(487\) | 1.11137e16 | − | 1.92494e16i | 0.833074 | − | 1.44293i | −0.0625147 | − | 0.998044i | \(-0.519912\pi\) |
0.895589 | − | 0.444883i | \(-0.146755\pi\) | |||||||
\(488\) | −2.21005e15 | + | 1.27597e15i | −0.163638 | + | 0.0944762i | ||||
\(489\) | 4.37076e15i | 0.319671i | ||||||||
\(490\) | −8.61390e15 | − | 3.16506e15i | −0.622334 | − | 0.228668i | ||||
\(491\) | 2.73159e16 | 1.94952 | 0.974758 | − | 0.223265i | \(-0.0716714\pi\) | ||||
0.974758 | + | 0.223265i | \(0.0716714\pi\) | |||||||
\(492\) | −2.82318e15 | − | 4.88990e15i | −0.199044 | − | 0.344754i | ||||
\(493\) | −3.53102e15 | − | 2.03864e15i | −0.245934 | − | 0.141990i | ||||
\(494\) | 2.22921e15 | − | 3.86110e15i | 0.153387 | − | 0.265674i | ||||
\(495\) | 9.13992e15 | − | 5.27694e15i | 0.621314 | − | 0.358716i | ||||
\(496\) | − | 1.29568e15i | − | 0.0870179i | ||||||
\(497\) | 8.60833e15 | − | 7.39871e14i | 0.571190 | − | 0.0490928i | ||||
\(498\) | −1.17698e16 | −0.771603 | ||||||||
\(499\) | −9.95390e15 | − | 1.72407e16i | −0.644748 | − | 1.11674i | −0.984360 | − | 0.176171i | \(-0.943629\pi\) |
0.339612 | − | 0.940566i | \(-0.389704\pi\) | |||||||
\(500\) | 7.11043e15 | + | 4.10521e15i | 0.455068 | + | 0.262733i | ||||
\(501\) | 5.23076e15 | − | 9.05994e15i | 0.330779 | − | 0.572927i | ||||
\(502\) | 1.25915e16 | − | 7.26971e15i | 0.786784 | − | 0.454250i | ||||
\(503\) | 6.87587e15i | 0.424541i | 0.977211 | + | 0.212271i | \(0.0680858\pi\) | ||||
−0.977211 | + | 0.212271i | \(0.931914\pi\) | |||||||
\(504\) | 1.67557e15 | + | 2.40076e15i | 0.102230 | + | 0.146476i | ||||
\(505\) | −4.01154e13 | −0.00241860 | ||||||||
\(506\) | −1.38553e16 | − | 2.39980e16i | −0.825490 | − | 1.42979i | ||||
\(507\) | −9.54063e15 | − | 5.50828e15i | −0.561732 | − | 0.324316i | ||||
\(508\) | −6.96546e15 | + | 1.20645e16i | −0.405292 | + | 0.701986i | ||||
\(509\) | −6.71112e15 | + | 3.87467e15i | −0.385912 | + | 0.222807i | −0.680387 | − | 0.732853i | \(-0.738188\pi\) |
0.294475 | + | 0.955659i | \(0.404855\pi\) | |||||||
\(510\) | 2.43585e15i | 0.138430i | ||||||||
\(511\) | 6.91562e15 | + | 3.23769e15i | 0.388424 | + | 0.181849i | ||||
\(512\) | −7.96131e14 | −0.0441942 | ||||||||
\(513\) | 1.50015e16 | + | 2.59834e16i | 0.823058 | + | 1.42558i | ||||
\(514\) | −1.34085e16 | − | 7.74138e15i | −0.727110 | − | 0.419797i | ||||
\(515\) | 1.55635e16 | − | 2.69567e16i | 0.834187 | − | 1.44485i | ||||
\(516\) | −8.36635e15 | + | 4.83032e15i | −0.443239 | + | 0.255904i | ||||
\(517\) | − | 2.92882e16i | − | 1.53373i | ||||||
\(518\) | 3.84597e15 | − | 8.21490e15i | 0.199080 | − | 0.425230i | ||||
\(519\) | 4.35965e15 | 0.223073 | ||||||||
\(520\) | −9.14455e14 | − | 1.58388e15i | −0.0462533 | − | 0.0801130i | ||||
\(521\) | 2.06740e16 | + | 1.19361e16i | 1.03371 | + | 0.596811i | 0.918044 | − | 0.396478i | \(-0.129768\pi\) |
0.115662 | + | 0.993289i | \(0.463101\pi\) | |||||||
\(522\) | −3.45737e15 | + | 5.98835e15i | −0.170893 | + | 0.295995i | ||||
\(523\) | −1.80842e16 | + | 1.04409e16i | −0.883670 | + | 0.510187i | −0.871867 | − | 0.489743i | \(-0.837090\pi\) |
−0.0118030 | + | 0.999930i | \(0.503757\pi\) | |||||||
\(524\) | − | 1.67031e16i | − | 0.806878i | ||||||
\(525\) | 1.45929e15 | − | 1.01848e15i | 0.0696923 | − | 0.0486405i | ||||
\(526\) | 4.66814e15 | 0.220409 | ||||||||
\(527\) | 1.10663e15 | + | 1.91675e15i | 0.0516583 | + | 0.0894748i | ||||
\(528\) | 4.99736e15 | + | 2.88522e15i | 0.230641 | + | 0.133161i | ||||
\(529\) | −1.50860e16 | + | 2.61297e16i | −0.688398 | + | 1.19234i | ||||
\(530\) | −9.10450e15 | + | 5.25648e15i | −0.410772 | + | 0.237159i | ||||
\(531\) | − | 5.43973e15i | − | 0.242667i | ||||||
\(532\) | 1.50915e15 | + | 1.75589e16i | 0.0665678 | + | 0.774509i | ||||
\(533\) | −7.24179e15 | −0.315851 | ||||||||
\(534\) | 7.36477e15 | + | 1.27562e16i | 0.317623 | + | 0.550139i | ||||
\(535\) | 2.38997e16 | + | 1.37985e16i | 1.01922 | + | 0.588449i | ||||
\(536\) | 3.10536e15 | − | 5.37864e15i | 0.130955 | − | 0.226821i | ||||
\(537\) | −8.78273e15 | + | 5.07071e15i | −0.366255 | + | 0.211457i | ||||
\(538\) | 2.12155e16i | 0.874903i | ||||||||
\(539\) | 1.28079e16 | − | 3.48573e16i | 0.522328 | − | 1.42155i | ||||
\(540\) | 1.23077e16 | 0.496380 | ||||||||
\(541\) | −1.60100e16 | − | 2.77302e16i | −0.638569 | − | 1.10603i | −0.985747 | − | 0.168235i | \(-0.946193\pi\) |
0.347177 | − | 0.937799i | \(-0.387140\pi\) | |||||||
\(542\) | 1.71119e16 | + | 9.87954e15i | 0.674996 | + | 0.389709i | ||||
\(543\) | −6.32565e15 | + | 1.09564e16i | −0.246778 | + | 0.427432i | ||||
\(544\) | 1.17774e15 | − | 6.79971e14i | 0.0454420 | − | 0.0262359i | ||||
\(545\) | 3.83570e16i | 1.46375i | ||||||||
\(546\) | −3.66376e15 | + | 3.14894e14i | −0.138284 | + | 0.0118853i | ||||
\(547\) | −3.33242e16 | −1.24404 | −0.622022 | − | 0.783000i | \(-0.713688\pi\) | ||||
−0.622022 | + | 0.783000i | \(0.713688\pi\) | |||||||
\(548\) | −8.33734e15 | − | 1.44407e16i | −0.307854 | − | 0.533218i | ||||
\(549\) | −6.40242e15 | − | 3.69644e15i | −0.233835 | − | 0.135005i | ||||
\(550\) | −1.79078e15 | + | 3.10173e15i | −0.0646944 | + | 0.112054i | ||||
\(551\) | −3.60480e16 | + | 2.08123e16i | −1.28817 | + | 0.743723i | ||||
\(552\) | − | 1.08465e16i | − | 0.383404i | ||||||
\(553\) | −4.26102e14 | − | 6.10522e14i | −0.0148992 | − | 0.0213477i | ||||
\(554\) | 8.93503e15 | 0.309056 | ||||||||
\(555\) | −6.39948e15 | − | 1.10842e16i | −0.218971 | − | 0.379269i | ||||
\(556\) | −2.21218e16 | − | 1.27720e16i | −0.748811 | − | 0.432326i | ||||
\(557\) | −1.50168e15 | + | 2.60098e15i | −0.0502857 | + | 0.0870975i | −0.890073 | − | 0.455819i | \(-0.849347\pi\) |
0.839787 | + | 0.542916i | \(0.182680\pi\) | |||||||
\(558\) | 3.25066e15 | − | 1.87677e15i | 0.107688 | − | 0.0621735i | ||||
\(559\) | 1.23903e16i | 0.406080i | ||||||||
\(560\) | 6.54744e15 | + | 3.06532e15i | 0.212297 | + | 0.0993911i | ||||
\(561\) | −9.85701e15 | −0.316204 | ||||||||
\(562\) | 1.87821e15 | + | 3.25315e15i | 0.0596109 | + | 0.103249i | ||||
\(563\) | 2.59585e16 | + | 1.49872e16i | 0.815135 | + | 0.470618i | 0.848736 | − | 0.528817i | \(-0.177364\pi\) |
−0.0336009 | + | 0.999435i | \(0.510698\pi\) | |||||||
\(564\) | 5.73204e15 | − | 9.92818e15i | 0.178088 | − | 0.308457i | ||||
\(565\) | −3.29068e16 | + | 1.89988e16i | −1.01157 | + | 0.584030i | ||||
\(566\) | 3.21107e16i | 0.976677i | ||||||||
\(567\) | 3.37464e15 | − | 7.20814e15i | 0.101561 | − | 0.216933i | ||||
\(568\) | −6.80650e15 | −0.202691 | ||||||||
\(569\) | 1.35760e16 | + | 2.35144e16i | 0.400037 | + | 0.692884i | 0.993730 | − | 0.111808i | \(-0.0356641\pi\) |
−0.593693 | + | 0.804691i | \(0.702331\pi\) | |||||||
\(570\) | 2.15359e16 | + | 1.24338e16i | 0.627934 | + | 0.362538i | ||||
\(571\) | −3.50961e15 | + | 6.07881e15i | −0.101261 | + | 0.175389i | −0.912204 | − | 0.409735i | \(-0.865621\pi\) |
0.810944 | + | 0.585124i | \(0.198954\pi\) | |||||||
\(572\) | 6.40939e15 | − | 3.70046e15i | 0.182996 | − | 0.105653i | ||||
\(573\) | − | 2.12814e16i | − | 0.601274i | ||||||
\(574\) | 2.34741e16 | − | 1.63833e16i | 0.656322 | − | 0.458068i | ||||
\(575\) | 6.73215e15 | 0.186272 | ||||||||
\(576\) | −1.15318e15 | − | 1.99736e15i | −0.0315763 | − | 0.0546918i | ||||
\(577\) | −4.43026e16 | − | 2.55781e16i | −1.20053 | − | 0.693129i | −0.239860 | − | 0.970807i | \(-0.577102\pi\) |
−0.960674 | + | 0.277679i | \(0.910435\pi\) | |||||||
\(578\) | 1.20217e16 | − | 2.08222e16i | 0.322403 | − | 0.558419i | ||||
\(579\) | 2.65555e16 | − | 1.53318e16i | 0.704828 | − | 0.406933i | ||||
\(580\) | 1.70751e16i | 0.448533i | ||||||||
\(581\) | −5.10974e15 | − | 5.94514e16i | −0.132844 | − | 1.54563i | ||||
\(582\) | 9.04392e15 | 0.232712 | ||||||||
\(583\) | −2.12711e16 | − | 3.68426e16i | −0.541724 | − | 0.938293i | ||||
\(584\) | −5.20959e15 | − | 3.00776e15i | −0.131319 | − | 0.0758168i | ||||
\(585\) | 2.64914e15 | − | 4.58844e15i | 0.0660951 | − | 0.114480i | ||||
\(586\) | 7.48106e15 | − | 4.31919e15i | 0.184747 | − | 0.106664i | ||||
\(587\) | 2.97094e16i | 0.726216i | 0.931747 | + | 0.363108i | \(0.118284\pi\) | ||||
−0.931747 | + | 0.363108i | \(0.881716\pi\) | |||||||
\(588\) | 1.11636e16 | − | 9.30935e15i | 0.270110 | − | 0.225245i | ||||
\(589\) | 2.25951e16 | 0.541157 | ||||||||
\(590\) | −6.71635e15 | − | 1.16331e16i | −0.159229 | − | 0.275792i | ||||
\(591\) | 2.34592e16 | + | 1.35442e16i | 0.550540 | + | 0.317855i | ||||
\(592\) | −3.57284e15 | + | 6.18834e15i | −0.0830010 | + | 0.143762i | ||||
\(593\) | 4.00972e16 | − | 2.31501e16i | 0.922116 | − | 0.532384i | 0.0378064 | − | 0.999285i | \(-0.487963\pi\) |
0.884309 | + | 0.466901i | \(0.154630\pi\) | |||||||
\(594\) | 4.98047e16i | 1.13384i | ||||||||
\(595\) | −1.23039e16 | + | 1.05750e15i | −0.277295 | + | 0.0238330i | ||||
\(596\) | 1.19545e16 | 0.266719 | ||||||||
\(597\) | −1.96063e16 | − | 3.39590e16i | −0.433060 | − | 0.750083i | ||||
\(598\) | −1.20475e16 | − | 6.95564e15i | −0.263446 | − | 0.152100i | ||||
\(599\) | −2.05859e16 | + | 3.56558e16i | −0.445664 | + | 0.771914i | −0.998098 | − | 0.0616433i | \(-0.980366\pi\) |
0.552434 | + | 0.833557i | \(0.313699\pi\) | |||||||
\(600\) | −1.21409e15 | + | 7.00953e14i | −0.0260221 | + | 0.0150239i | ||||
\(601\) | − | 1.89158e15i | − | 0.0401402i | −0.999799 | − | 0.0200701i | \(-0.993611\pi\) | ||
0.999799 | − | 0.0200701i | \(-0.00638893\pi\) | |||||||
\(602\) | −2.80309e16 | − | 4.01629e16i | −0.588923 | − | 0.843812i | ||||
\(603\) | 1.79922e16 | 0.374266 | ||||||||
\(604\) | −8.31749e15 | − | 1.44063e16i | −0.171305 | − | 0.296709i | ||||
\(605\) | 5.15119e16 | + | 2.97404e16i | 1.05045 | + | 0.606478i | ||||
\(606\) | 3.17703e13 | − | 5.50278e13i | 0.000641484 | − | 0.00111108i | ||||
\(607\) | 7.45528e15 | − | 4.30431e15i | 0.149050 | − | 0.0860541i | −0.423620 | − | 0.905840i | \(-0.639241\pi\) |
0.572670 | + | 0.819786i | \(0.305908\pi\) | |||||||
\(608\) | − | 1.38836e16i | − | 0.274840i | ||||||
\(609\) | 3.10929e16 | + | 1.45568e16i | 0.609477 | + | 0.285339i | ||||
\(610\) | −1.82557e16 | −0.354340 | ||||||||
\(611\) | −7.35167e15 | − | 1.27335e16i | −0.141299 | − | 0.244737i | ||||
\(612\) | 3.41187e15 | + | 1.96985e15i | 0.0649358 | + | 0.0374907i | ||||
\(613\) | 7.75623e15 | − | 1.34342e16i | 0.146180 | − | 0.253191i | −0.783633 | − | 0.621225i | \(-0.786635\pi\) |
0.929813 | + | 0.368033i | \(0.119969\pi\) | |||||||
\(614\) | −2.64378e16 | + | 1.52639e16i | −0.493419 | + | 0.284876i | ||||
\(615\) | − | 4.03922e16i | − | 0.746529i | ||||||
\(616\) | −1.24042e16 | + | 2.64951e16i | −0.227031 | + | 0.484932i | ||||
\(617\) | 6.49218e16 | 1.17674 | 0.588368 | − | 0.808593i | \(-0.299770\pi\) | ||||
0.588368 | + | 0.808593i | \(0.299770\pi\) | |||||||
\(618\) | 2.46517e16 | + | 4.26980e16i | 0.442503 | + | 0.766437i | ||||
\(619\) | 3.01581e16 | + | 1.74118e16i | 0.536117 | + | 0.309527i | 0.743504 | − | 0.668732i | \(-0.233163\pi\) |
−0.207387 | + | 0.978259i | \(0.566496\pi\) | |||||||
\(620\) | 4.63443e15 | − | 8.02707e15i | 0.0815918 | − | 0.141321i | ||||
\(621\) | 8.10741e16 | − | 4.68081e16i | 1.41362 | − | 0.816153i | ||||
\(622\) | − | 2.93982e16i | − | 0.507666i | ||||||
\(623\) | −6.12362e16 | + | 4.27387e16i | −1.04732 | + | 0.730959i | ||||
\(624\) | 2.89689e15 | 0.0490710 | ||||||||
\(625\) | 2.57664e16 | + | 4.46288e16i | 0.432289 | + | 0.748747i | ||||
\(626\) | −4.53172e16 | − | 2.61639e16i | −0.753038 | − | 0.434766i | ||||
\(627\) | −5.03148e16 | + | 8.71479e16i | −0.828115 | + | 1.43434i | ||||
\(628\) | −4.10681e16 | + | 2.37107e16i | −0.669494 | + | 0.386532i | ||||
\(629\) | − | 1.22062e16i | − | 0.197095i | ||||||
\(630\) | 1.79344e15 | + | 2.08665e16i | 0.0286843 | + | 0.333739i | ||||
\(631\) | −6.99817e16 | −1.10869 | −0.554343 | − | 0.832289i | \(-0.687030\pi\) | ||||
−0.554343 | + | 0.832289i | \(0.687030\pi\) | |||||||
\(632\) | 2.93257e14 | + | 5.07937e14i | 0.00460200 | + | 0.00797090i | ||||
\(633\) | −2.29744e16 | − | 1.32643e16i | −0.357126 | − | 0.206187i | ||||
\(634\) | 4.05555e16 | − | 7.02442e16i | 0.624474 | − | 1.08162i | ||||
\(635\) | −8.63055e16 | + | 4.98285e16i | −1.31643 | + | 0.760039i | ||||
\(636\) | − | 1.66520e16i | − | 0.251607i | ||||||
\(637\) | −3.18117e15 | − | 1.83696e16i | −0.0476157 | − | 0.274956i | ||||
\(638\) | −6.90965e16 | −1.02455 | ||||||||
\(639\) | −9.85906e15 | − | 1.70764e16i | −0.144821 | − | 0.250837i | ||||
\(640\) | −4.93223e15 | − | 2.84763e15i | −0.0717734 | − | 0.0414384i | ||||
\(641\) | −8.26267e15 | + | 1.43114e16i | −0.119117 | + | 0.206316i | −0.919418 | − | 0.393282i | \(-0.871340\pi\) |
0.800301 | + | 0.599598i | \(0.204673\pi\) | |||||||
\(642\) | −3.78557e16 | + | 2.18560e16i | −0.540657 | + | 0.312148i | ||||
\(643\) | 2.58392e16i | 0.365605i | 0.983150 | + | 0.182803i | \(0.0585170\pi\) | ||||
−0.983150 | + | 0.182803i | \(0.941483\pi\) | |||||||
\(644\) | 5.47877e16 | − | 4.70891e15i | 0.768011 | − | 0.0660093i | ||||
\(645\) | −6.91088e16 | −0.959788 | ||||||||
\(646\) | 1.18579e16 | + | 2.05384e16i | 0.163159 | + | 0.282600i | ||||
\(647\) | 8.66866e16 | + | 5.00485e16i | 1.18175 | + | 0.682284i | 0.956419 | − | 0.291998i | \(-0.0943199\pi\) |
0.225332 | + | 0.974282i | \(0.427653\pi\) | |||||||
\(648\) | −3.13498e15 | + | 5.42994e15i | −0.0423433 | + | 0.0733407i | ||||
\(649\) | 4.70747e16 | − | 2.71786e16i | 0.629969 | − | 0.363713i | ||||
\(650\) | 1.79802e15i | 0.0238405i | ||||||||
\(651\) | −1.06660e16 | − | 1.52823e16i | −0.140125 | − | 0.200772i | ||||
\(652\) | 1.74564e16 | 0.227231 | ||||||||
\(653\) | −1.53565e16 | − | 2.65983e16i | −0.198068 | − | 0.343064i | 0.749834 | − | 0.661626i | \(-0.230133\pi\) |
−0.947902 | + | 0.318562i | \(0.896800\pi\) | |||||||
\(654\) | −5.26156e16 | − | 3.03777e16i | −0.672432 | − | 0.388229i | ||||
\(655\) | 5.97440e16 | − | 1.03480e17i | 0.756565 | − | 1.31041i | ||||
\(656\) | −1.95298e16 | + | 1.12755e16i | −0.245061 | + | 0.141486i | ||||
\(657\) | − | 1.74267e16i | − | 0.216682i | ||||||
\(658\) | 5.26375e16 | + | 2.46433e16i | 0.648544 | + | 0.303629i | ||||
\(659\) | 1.64417e16 | 0.200740 | 0.100370 | − | 0.994950i | \(-0.467997\pi\) | ||||
0.100370 | + | 0.994950i | \(0.467997\pi\) | |||||||
\(660\) | 2.06399e16 | + | 3.57494e16i | 0.249715 | + | 0.432519i | ||||
\(661\) | −6.43528e16 | − | 3.71541e16i | −0.771540 | − | 0.445449i | 0.0618837 | − | 0.998083i | \(-0.480289\pi\) |
−0.833424 | + | 0.552635i | \(0.813623\pi\) | |||||||
\(662\) | 6.02408e15 | − | 1.04340e16i | 0.0715719 | − | 0.123966i | ||||
\(663\) | −4.28547e15 | + | 2.47422e15i | −0.0504565 | + | 0.0291311i | ||||
\(664\) | 4.70075e16i | 0.548477i | ||||||||
\(665\) | −5.34555e16 | + | 1.14180e17i | −0.618105 | + | 1.32026i | ||||
\(666\) | −2.07007e16 | −0.237214 | ||||||||
\(667\) | 6.49392e16 | + | 1.12478e17i | 0.737483 | + | 1.27736i | ||||
\(668\) | −3.61845e16 | − | 2.08911e16i | −0.407252 | − | 0.235127i | ||||
\(669\) | −1.55846e16 | + | 2.69934e16i | −0.173836 | + | 0.301093i | ||||
\(670\) | 3.84770e16 | − | 2.22147e16i | 0.425355 | − | 0.245579i | ||||
\(671\) | − | 7.38743e16i | − | 0.809391i | ||||||
\(672\) | −9.39020e15 | + | 6.55372e15i | −0.101967 | + | 0.0711659i | ||||
\(673\) | 1.00460e17 | 1.08119 | 0.540596 | − | 0.841283i | \(-0.318199\pi\) | ||||
0.540596 | + | 0.841283i | \(0.318199\pi\) | |||||||
\(674\) | −5.31309e15 | − | 9.20254e15i | −0.0566745 | − | 0.0981631i | ||||
\(675\) | −1.04788e16 | − | 6.04992e15i | −0.110787 | − | 0.0639627i | ||||
\(676\) | −2.19995e16 | + | 3.81043e16i | −0.230533 | + | 0.399295i | ||||
\(677\) | −2.84629e16 | + | 1.64330e16i | −0.295629 | + | 0.170681i | −0.640477 | − | 0.767977i | \(-0.721264\pi\) |
0.344849 | + | 0.938658i | \(0.387930\pi\) | |||||||
\(678\) | − | 6.01860e16i | − | 0.619608i | ||||||
\(679\) | 3.92632e15 | + | 4.56824e16i | 0.0400652 | + | 0.466155i | ||||
\(680\) | 9.72855e15 | 0.0983999 | ||||||||
\(681\) | 4.14821e16 | + | 7.18490e16i | 0.415889 | + | 0.720341i | ||||
\(682\) | 3.24826e16 | + | 1.87538e16i | 0.322808 | + | 0.186373i | ||||
\(683\) | −2.00945e16 | + | 3.48046e16i | −0.197949 | + | 0.342857i | −0.947863 | − | 0.318678i | \(-0.896761\pi\) |
0.749915 | + | 0.661535i | \(0.230095\pi\) | |||||||
\(684\) | 3.48316e16 | − | 2.01101e16i | 0.340124 | − | 0.196371i | ||||
\(685\) | − | 1.19285e17i | − | 1.15463i | ||||||
\(686\) | 5.18697e16 | + | 5.23477e16i | 0.497701 | + | 0.502288i | ||||
\(687\) | −4.41831e16 | −0.420258 | ||||||||
\(688\) | 1.92918e16 | + | 3.34144e16i | 0.181904 | + | 0.315067i | ||||
\(689\) | −1.84958e16 | − | 1.06785e16i | −0.172885 | − | 0.0998152i | ||||
\(690\) | 3.87962e16 | − | 6.71969e16i | 0.359496 | − | 0.622666i | ||||
\(691\) | 1.38373e17 | − | 7.98899e16i | 1.27111 | − | 0.733878i | 0.295916 | − | 0.955214i | \(-0.404375\pi\) |
0.975198 | + | 0.221336i | \(0.0710418\pi\) | |||||||
\(692\) | − | 1.74120e16i | − | 0.158567i | ||||||
\(693\) | −8.44391e16 | + | 7.25740e15i | −0.762332 | + | 0.0655212i | ||||
\(694\) | −6.00435e16 | −0.537414 | ||||||||
\(695\) | −9.13668e16 | − | 1.58252e17i | −0.810736 | − | 1.40424i | ||||
\(696\) | −2.34225e16 | − | 1.35230e16i | −0.206052 | − | 0.118964i | ||||
\(697\) | 1.92607e16 | − | 3.33605e16i | 0.167987 | − | 0.290961i | ||||
\(698\) | 1.02977e17 | − | 5.94537e16i | 0.890444 | − | 0.514098i | ||||
\(699\) | − | 7.98023e16i | − | 0.684152i | ||||||
\(700\) | −4.06772e15 | − | 5.82824e15i | −0.0345750 | − | 0.0495393i | ||||
\(701\) | 1.35098e17 | 1.13852 | 0.569262 | − | 0.822156i | \(-0.307229\pi\) | ||||
0.569262 | + | 0.822156i | \(0.307229\pi\) | |||||||
\(702\) | 1.25015e16 | + | 2.16533e16i | 0.104458 | + | 0.180926i | ||||
\(703\) | −1.07917e17 | − | 6.23060e16i | −0.894044 | − | 0.516176i | ||||
\(704\) | 1.15233e16 | − | 1.99589e16i | 0.0946544 | − | 0.163946i | ||||
\(705\) | 7.10228e16 | − | 4.10050e16i | 0.578447 | − | 0.333966i | ||||
\(706\) | 1.14858e17i | 0.927544i | ||||||||
\(707\) | 2.91748e14 | + | 1.36588e14i | 0.00233610 | + | 0.00109369i | ||||
\(708\) | 2.12766e16 | 0.168929 | ||||||||
\(709\) | 3.51496e15 | + | 6.08809e15i | 0.0276722 | + | 0.0479296i | 0.879530 | − | 0.475844i | \(-0.157857\pi\) |
−0.851858 | + | 0.523773i | \(0.824524\pi\) | |||||||
\(710\) | −4.21679e16 | − | 2.43457e16i | −0.329179 | − | 0.190052i | ||||
\(711\) | −8.49554e14 | + | 1.47147e15i | −0.00657618 | + | 0.0113903i | ||||
\(712\) | 5.09468e16 | − | 2.94141e16i | 0.391054 | − | 0.225775i | ||||
\(713\) | − | 7.05020e16i | − | 0.536617i | ||||||
\(714\) | 8.29375e15 | − | 1.77152e16i | 0.0625981 | − | 0.133708i | ||||
\(715\) | 5.29437e16 | 0.396258 | ||||||||
\(716\) | 2.02519e16 | + | 3.50773e16i | 0.150310 | + | 0.260344i | ||||
\(717\) | −9.47964e16 | − | 5.47307e16i | −0.697713 | − | 0.402825i | ||||
\(718\) | 2.62572e16 | − | 4.54788e16i | 0.191647 | − | 0.331942i | ||||
\(719\) | −1.36454e17 | + | 7.87819e16i | −0.987675 | + | 0.570234i | −0.904578 | − | 0.426307i | \(-0.859814\pi\) |
−0.0830962 | + | 0.996542i | \(0.526481\pi\) | |||||||
\(720\) | − | 1.64989e16i | − | 0.118430i | ||||||
\(721\) | −2.04973e17 | + | 1.43057e17i | −1.45910 | + | 1.01835i | ||||
\(722\) | 1.41950e17 | 1.00210 | ||||||||
\(723\) | 2.95825e16 | + | 5.12385e16i | 0.207112 | + | 0.358729i | ||||
\(724\) | 4.37585e16 | + | 2.52640e16i | 0.303831 | + | 0.175417i | ||||
\(725\) | 8.39335e15 | − | 1.45377e16i | 0.0577973 | − | 0.100108i | ||||
\(726\) | −8.15920e16 | + | 4.71071e16i | −0.557221 | + | 0.321712i | ||||
\(727\) | 1.73285e17i | 1.17370i | 0.809697 | + | 0.586848i | \(0.199631\pi\) | ||||
−0.809697 | + | 0.586848i | \(0.800369\pi\) | |||||||
\(728\) | 1.25766e15 | + | 1.46327e16i | 0.00844838 | + | 0.0982961i | ||||
\(729\) | −1.29947e17 | −0.865767 | ||||||||
\(730\) | −2.15165e16 | − | 3.72676e16i | −0.142178 | − | 0.246260i | ||||
\(731\) | −5.70780e16 | − | 3.29540e16i | −0.374080 | − | 0.215975i | ||||
\(732\) | 1.44580e16 | − | 2.50421e16i | 0.0939816 | − | 0.162781i | ||||
\(733\) | 1.32918e17 | − | 7.67401e16i | 0.856957 | − | 0.494764i | −0.00603505 | − | 0.999982i | \(-0.501921\pi\) |
0.862992 | + | 0.505217i | \(0.168588\pi\) | |||||||
\(734\) | 8.09975e16i | 0.517959i | ||||||||
\(735\) | 1.02459e17 | − | 1.77435e16i | 0.649871 | − | 0.112542i | ||||
\(736\) | −4.33199e16 | −0.272534 | ||||||||
\(737\) | 8.98946e16 | + | 1.55702e17i | 0.560956 | + | 0.971604i | ||||
\(738\) | −5.65768e16 | − | 3.26647e16i | −0.350187 | − | 0.202181i | ||||
\(739\) | −7.76288e16 | + | 1.34457e17i | −0.476602 | + | 0.825499i | −0.999641 | − | 0.0268099i | \(-0.991465\pi\) |
0.523038 | + | 0.852309i | \(0.324798\pi\) | |||||||
\(740\) | −4.42693e16 | + | 2.55589e16i | −0.269595 | + | 0.155651i | ||||
\(741\) | 5.05183e16i | 0.305168i | ||||||||
\(742\) | 8.41119e16 | − | 7.22927e15i | 0.504004 | − | 0.0433183i | ||||
\(743\) | −1.55426e17 | −0.923830 | −0.461915 | − | 0.886924i | \(-0.652838\pi\) | ||||
−0.461915 | + | 0.886924i | \(0.652838\pi\) | |||||||
\(744\) | 7.34068e15 | + | 1.27144e16i | 0.0432812 | + | 0.0749652i | ||||
\(745\) | 7.40610e16 | + | 4.27592e16i | 0.433164 | + | 0.250087i | ||||
\(746\) | −1.08249e17 | + | 1.87492e17i | −0.628043 | + | 1.08780i | ||||
\(747\) | −1.17934e17 | + | 6.80893e16i | −0.678759 | + | 0.391882i | ||||
\(748\) | 3.93679e16i | 0.224767i | ||||||||
\(749\) | −1.26833e17 | − | 1.81727e17i | −0.718360 | − | 1.02927i | ||||
\(750\) | −9.30322e16 | −0.522716 | ||||||||
\(751\) | 1.48252e17 | + | 2.56780e17i | 0.826344 | + | 1.43127i | 0.900888 | + | 0.434051i | \(0.142916\pi\) |
−0.0745445 | + | 0.997218i | \(0.523750\pi\) | |||||||
\(752\) | −3.96522e16 | − | 2.28932e16i | −0.219260 | − | 0.126590i | ||||
\(753\) | −8.23731e16 | + | 1.42674e17i | −0.451872 | + | 0.782665i | ||||
\(754\) | −3.00407e16 | + | 1.73440e16i | −0.163486 | + | 0.0943889i | ||||
\(755\) | − | 1.19001e17i | − | 0.642493i | ||||||
\(756\) | −8.95101e16 | − | 4.19060e16i | −0.479448 | − | 0.224463i | ||||
\(757\) | −2.70923e16 | −0.143970 | −0.0719848 | − | 0.997406i | \(-0.522933\pi\) | ||||
−0.0719848 | + | 0.997406i | \(0.522933\pi\) | |||||||
\(758\) | −2.97705e16 | − | 5.15639e16i | −0.156953 | − | 0.271851i | ||||
\(759\) | 2.71921e17 | + | 1.56994e17i | 1.42230 | + | 0.821168i | ||||
\(760\) | 4.96592e16 | − | 8.60122e16i | 0.257702 | − | 0.446353i | ||||
\(761\) | 2.95361e17 | − | 1.70527e17i | 1.52071 | − | 0.877980i | 0.521004 | − | 0.853554i | \(-0.325558\pi\) |
0.999702 | − | 0.0244255i | \(-0.00777565\pi\) | |||||||
\(762\) | − | 1.57851e17i | − | 0.806340i | ||||||
\(763\) | 1.30600e17 | − | 2.78959e17i | 0.661907 | − | 1.41382i | ||||
\(764\) | −8.49958e16 | −0.427403 | ||||||||
\(765\) | 1.40916e16 | + | 2.44074e16i | 0.0703059 | + | 0.121773i | ||||
\(766\) | −5.94016e16 | − | 3.42955e16i | −0.294053 | − | 0.169772i | ||||
\(767\) | 1.36443e16 | − | 2.36325e16i | 0.0670159 | − | 0.116075i | ||||
\(768\) | 7.81238e15 | − | 4.51048e15i | 0.0380729 | − | 0.0219814i | ||||
\(769\) | 1.79123e17i | 0.866153i | 0.901357 | + | 0.433076i | \(0.142572\pi\) | ||||
−0.901357 | + | 0.433076i | \(0.857428\pi\) | |||||||
\(770\) | −1.71616e17 | + | 1.19776e17i | −0.823403 | + | 0.574679i | ||||
\(771\) | 1.75435e17 | 0.835199 | ||||||||
\(772\) | −6.12338e16 | − | 1.06060e17i | −0.289259 | − | 0.501012i | ||||
\(773\) | −5.21474e16 | − | 3.01073e16i | −0.244431 | − | 0.141122i | 0.372781 | − | 0.927919i | \(-0.378404\pi\) |
−0.617211 | + | 0.786797i | \(0.711738\pi\) | |||||||
\(774\) | −5.58875e16 | + | 9.67999e16i | −0.259937 | + | 0.450225i | ||||
\(775\) | −7.89151e15 | + | 4.55617e15i | −0.0364208 | + | 0.0210276i | ||||
\(776\) | − | 3.61205e16i | − | 0.165418i | ||||||
\(777\) | 8.80124e15 | + | 1.02402e17i | 0.0399961 | + | 0.465351i | ||||
\(778\) | 1.25409e17 | 0.565524 | ||||||||
\(779\) | −1.96631e17 | − | 3.40575e17i | −0.879889 | − | 1.52401i | ||||
\(780\) | 1.79470e16 | + | 1.03617e16i | 0.0796936 | + | 0.0460111i | ||||
\(781\) | 9.85180e16 | − | 1.70638e17i | 0.434119 | − | 0.751917i | ||||
\(782\) | 6.40846e16 | − | 3.69993e16i | 0.280229 | − | 0.161790i | ||||
\(783\) | − | 2.33433e17i | − | 1.01296i | ||||||
\(784\) | −3.71806e16 | − | 4.45863e16i | −0.160111 | − | 0.192002i | ||||
\(785\) | −3.39236e17 | −1.44972 | ||||||||
\(786\) | 9.46311e16 | + | 1.63906e17i | 0.401327 | + | 0.695119i | ||||
\(787\) | 1.49941e16 | + | 8.65682e15i | 0.0631060 | + | 0.0364343i | 0.531221 | − | 0.847233i | \(-0.321733\pi\) |
−0.468115 | + | 0.883668i | \(0.655067\pi\) | |||||||
\(788\) | 5.40942e16 | − | 9.36938e16i | 0.225940 | − | 0.391340i | ||||
\(789\) | −4.58081e16 | + | 2.64473e16i | −0.189880 | + | 0.109628i | ||||
\(790\) | 4.19573e15i | 0.0172602i | ||||||||
\(791\) | 3.04010e17 | − | 2.61291e16i | 1.24116 | − | 0.106676i | ||||
\(792\) | 6.67650e16 | 0.270519 | ||||||||
\(793\) | −1.85433e16 | − | 3.21179e16i | −0.0745670 | − | 0.129154i | ||||
\(794\) | 1.37874e17 | + | 7.96018e16i | 0.550250 | + | 0.317687i | ||||
\(795\) | 5.95612e16 | − | 1.03163e17i | 0.235918 | − | 0.408621i | ||||
\(796\) | −1.35629e17 | + | 7.83054e16i | −0.533180 | + | 0.307832i | ||||
\(797\) | 1.59583e17i | 0.622640i | 0.950305 | + | 0.311320i | \(0.100771\pi\) | ||||
−0.950305 | + | 0.311320i | \(0.899229\pi\) | |||||||
\(798\) | −1.14289e17 | − | 1.63754e17i | −0.442575 | − | 0.634124i | ||||
\(799\) | 7.82117e16 | 0.300601 | ||||||||
\(800\) | 2.79953e15 | + | 4.84894e15i | 0.0106794 | + | 0.0184972i | ||||
\(801\) | 1.47591e17 | + | 8.52115e16i | 0.558809 | + | 0.322629i | ||||
\(802\) | 1.11277e17 | − | 1.92738e17i | 0.418176 | − | 0.724303i | ||||
\(803\) | 1.50808e17 | − | 8.70692e16i | 0.562512 | − | 0.324766i | ||||
\(804\) | 7.03736e16i | 0.260539i | ||||||||
\(805\) | 3.56266e17 | + | 1.66793e17i | 1.30918 | + | 0.612919i | ||||
\(806\) | 1.88297e16 | 0.0686804 | ||||||||
\(807\) | −1.20196e17 | − | 2.08186e17i | −0.435161 | − | 0.753721i | ||||
\(808\) | −2.19775e14 | − | 1.26887e14i | −0.000789789 | − | 0.000455985i | ||||
\(809\) | 9.64003e15 | − | 1.66970e16i | 0.0343864 | − | 0.0595591i | −0.848320 | − | 0.529484i | \(-0.822386\pi\) |
0.882706 | + | 0.469925i | \(0.155719\pi\) | |||||||
\(810\) | −3.88439e16 | + | 2.24266e16i | −0.137535 | + | 0.0794058i | ||||
\(811\) | 3.01693e17i | 1.06033i | 0.847896 | + | 0.530163i | \(0.177869\pi\) | ||||
−0.847896 | + | 0.530163i | \(0.822131\pi\) | |||||||
\(812\) | 5.81382e16 | − | 1.24182e17i | 0.202827 | − | 0.433233i | ||||
\(813\) | −2.23890e17 | −0.775338 | ||||||||
\(814\) | −1.03427e17 | − | 1.79141e17i | −0.355540 | − | 0.615814i | ||||
\(815\) | 1.08146e17 | + | 6.24384e16i | 0.369034 | + | 0.213062i | ||||
\(816\) | −7.70474e15 | + | 1.33450e16i | −0.0260986 | + | 0.0452041i | ||||
\(817\) | −5.82706e17 | + | 3.36426e17i | −1.95937 | + | 1.13125i | ||||
\(818\) | 1.31730e17i | 0.439709i | ||||||||
\(819\) | −3.48894e16 | + | 2.43504e16i | −0.115609 | + | 0.0806868i | ||||
\(820\) | −1.61322e17 | −0.530654 | ||||||||
\(821\) | 8.00654e16 | + | 1.38677e17i | 0.261448 | + | 0.452842i | 0.966627 | − | 0.256188i | \(-0.0824666\pi\) |
−0.705179 | + | 0.709030i | \(0.749133\pi\) | |||||||
\(822\) | 1.63627e17 | + | 9.44703e16i | 0.530426 | + | 0.306242i | ||||
\(823\) | 2.11116e17 | − | 3.65664e17i | 0.679395 | − | 1.17675i | −0.295769 | − | 0.955260i | \(-0.595576\pi\) |
0.975163 | − | 0.221486i | \(-0.0710908\pi\) | |||||||
\(824\) | 1.70531e17 | − | 9.84563e16i | 0.544805 | − | 0.314543i | ||||
\(825\) | − | 4.05827e16i | − | 0.128711i | ||||||
\(826\) | 9.23703e15 | + | 1.07472e17i | 0.0290839 | + | 0.338388i | ||||
\(827\) | 2.73276e17 | 0.854218 | 0.427109 | − | 0.904200i | \(-0.359532\pi\) | ||||
0.427109 | + | 0.904200i | \(0.359532\pi\) | |||||||
\(828\) | −6.27480e16 | − | 1.08683e17i | −0.194723 | − | 0.337270i | ||||
\(829\) | −3.32090e17 | − | 1.91732e17i | −1.02312 | − | 0.590701i | −0.108116 | − | 0.994138i | \(-0.534482\pi\) |
−0.915007 | + | 0.403438i | \(0.867815\pi\) | |||||||
\(830\) | −1.68138e17 | + | 2.91223e17i | −0.514276 | + | 0.890752i | ||||
\(831\) | −8.76788e16 | + | 5.06214e16i | −0.266249 | + | 0.153719i | ||||
\(832\) | − | 1.15699e16i | − | 0.0348810i | ||||||
\(833\) | 9.30833e16 | + | 3.42022e16i | 0.278613 | + | 0.102373i | ||||
\(834\) | 2.89440e17 | 0.860125 | ||||||||
\(835\) | −1.49448e17 | − | 2.58851e17i | −0.440932 | − | 0.763716i | ||||
\(836\) | 3.48060e17 | + | 2.00952e17i | 1.01957 | + | 0.588648i | ||||
\(837\) | −6.33574e16 | + | 1.09738e17i | −0.184266 | + | 0.319157i | ||||
\(838\) | 7.33577e15 | − | 4.23531e15i | 0.0211827 | − | 0.0122298i | ||||
\(839\) | 3.51637e17i | 1.00814i | 0.863662 | + | 0.504072i | \(0.168165\pi\) | ||||
−0.863662 | + | 0.504072i | \(0.831835\pi\) | |||||||
\(840\) | −8.16161e16 | + | 7.01477e15i | −0.232327 | + | 0.0199681i | ||||
\(841\) | −2.99612e16 | −0.0846804 | ||||||||
\(842\) | −6.67565e16 | − | 1.15626e17i | −0.187336 | − | 0.324475i | ||||
\(843\) | −3.68614e16 | − | 2.12820e16i | −0.102709 | − | 0.0592988i | ||||
\(844\) | −5.29761e16 | + | 9.17574e16i | −0.146563 | + | 0.253855i | ||||
\(845\) | −2.72585e17 | + | 1.57377e17i | −0.748793 | + | 0.432316i | ||||
\(846\) | − | 1.32641e17i | − | 0.361789i | ||||||
\(847\) | −2.73369e17 | − | 3.91684e17i | −0.740369 | − | 1.06080i | ||||
\(848\) | −6.65062e16 | −0.178849 | ||||||||
\(849\) | −1.81923e17 | − | 3.15100e17i | −0.485782 | − | 0.841399i | ||||
\(850\) | −8.28289e15 | − | 4.78213e15i | −0.0219618 | − | 0.0126797i | ||||
\(851\) | −1.94409e17 | + | 3.36726e17i | −0.511846 | + | 0.886543i | ||||
\(852\) | 6.67916e16 | − | 3.85622e16i | 0.174616 | − | 0.100815i | ||||
\(853\) | − | 7.08810e13i | − | 0.000184008i | −1.00000 | 9.20038e-5i | \(-0.999971\pi\) | |||
1.00000 | 9.20038e-5i | \(-2.92857e-5\pi\) | ||||||||
\(854\) | 1.32769e17 | + | 6.21583e16i | 0.342254 | + | 0.160233i | ||||
\(855\) | 2.87721e17 | 0.736503 | ||||||||
\(856\) | 8.72907e16 | + | 1.51192e17i | 0.221884 | + | 0.384314i | ||||
\(857\) | −1.30185e14 | − | 7.51626e13i | −0.000328607 | − | 0.000189722i | 0.499836 | − | 0.866120i | \(-0.333394\pi\) |
−0.500164 | + | 0.865931i | \(0.666727\pi\) | |||||||
\(858\) | −4.19299e16 | + | 7.26248e16i | −0.105099 | + | 0.182038i | ||||
\(859\) | −5.78263e17 | + | 3.33860e17i | −1.43935 | + | 0.831009i | −0.997804 | − | 0.0662290i | \(-0.978903\pi\) |
−0.441546 | + | 0.897239i | \(0.645570\pi\) | |||||||
\(860\) | 2.76014e17i | 0.682244i | ||||||||
\(861\) | −1.37530e17 | + | 2.93760e17i | −0.337581 | + | 0.721064i | ||||
\(862\) | 8.44497e16 | 0.205852 | ||||||||
\(863\) | −2.04823e17 | − | 3.54764e17i | −0.495808 | − | 0.858765i | 0.504180 | − | 0.863599i | \(-0.331795\pi\) |
−0.999988 | + | 0.00483322i | \(0.998462\pi\) | |||||||
\(864\) | 6.74286e16 | + | 3.89299e16i | 0.162092 | + | 0.0935838i | ||||
\(865\) | 6.22798e16 | − | 1.07872e17i | 0.148679 | − | 0.257520i | ||||
\(866\) | −2.52248e17 | + | 1.45635e17i | −0.598025 | + | 0.345270i | ||||
\(867\) | 2.72436e17i | 0.641431i | ||||||||
\(868\) | −6.10359e16 | + | 4.25989e16i | −0.142714 | + | 0.0996047i | ||||
\(869\) | −1.69786e16 | −0.0394260 | ||||||||
\(870\) | −9.67387e16 | − | 1.67556e17i | −0.223092 | − | 0.386407i | ||||
\(871\) | 7.81659e16 | + | 4.51291e16i | 0.179023 | + | 0.103359i | ||||
\(872\) | −1.21325e17 | + | 2.10142e17i | −0.275964 | + | 0.477984i | ||||
\(873\) | 9.06205e16 | − | 5.23198e16i | 0.204711 | − | 0.118190i | ||||
\(874\) | − | 7.55447e17i | − | 1.69487i | ||||||
\(875\) | −4.03890e16 | − | 4.69922e17i | −0.0899942 | − | 1.04707i | ||||
\(876\) | 6.81617e16 | 0.150840 | ||||||||
\(877\) | 3.89946e17 | + | 6.75407e17i | 0.857052 | + | 1.48446i | 0.874728 | + | 0.484614i | \(0.161040\pi\) |
−0.0176760 | + | 0.999844i | \(0.505627\pi\) | |||||||
\(878\) | 1.65911e17 | + | 9.57889e16i | 0.362167 | + | 0.209097i | ||||
\(879\) | −4.89407e16 | + | 8.47679e16i | −0.106105 | + | 0.183780i | ||||
\(880\) | 1.42779e17 | − | 8.24337e16i | 0.307446 | − | 0.177504i | ||||
\(881\) | − | 5.86771e17i | − | 1.25491i | −0.778652 | − | 0.627456i | \(-0.784096\pi\) | ||
0.778652 | − | 0.627456i | \(-0.215904\pi\) | |||||||
\(882\) | 5.80044e16 | − | 1.57862e17i | 0.123211 | − | 0.335326i | ||||
\(883\) | 1.02492e17 | 0.216235 | 0.108117 | − | 0.994138i | \(-0.465518\pi\) | ||||
0.108117 | + | 0.994138i | \(0.465518\pi\) | |||||||
\(884\) | 9.88177e15 | + | 1.71157e16i | 0.0207072 | + | 0.0358659i | ||||
\(885\) | 1.31814e17 | + | 7.61029e16i | 0.274348 | + | 0.158395i | ||||
\(886\) | −1.60038e17 | + | 2.77194e17i | −0.330842 | + | 0.573036i | ||||
\(887\) | −3.08202e17 | + | 1.77941e17i | −0.632840 | + | 0.365370i | −0.781851 | − | 0.623465i | \(-0.785724\pi\) |
0.149011 | + | 0.988836i | \(0.452391\pi\) | |||||||
\(888\) | − | 8.09676e16i | − | 0.165133i | ||||||
\(889\) | 7.97333e17 | − | 6.85295e16i | 1.61521 | − | 0.138825i | ||||
\(890\) | 4.20837e17 | 0.846787 | ||||||||
\(891\) | −9.07520e16 | − | 1.57187e17i | −0.181380 | − | 0.314160i | ||||
\(892\) | 1.07809e17 | + | 6.22434e16i | 0.214025 | + | 0.123567i | ||||
\(893\) | 3.99230e17 | − | 6.91486e17i | 0.787252 | − | 1.36356i | ||||
\(894\) | −1.17309e17 | + | 6.77281e16i | −0.229776 | + | 0.132661i | ||||
\(895\) | 2.89750e17i | 0.563749i | ||||||||
\(896\) | 2.61749e16 | + | 3.75035e16i | 0.0505867 | + | 0.0724809i | ||||
\(897\) | 1.57629e17 | 0.302608 | ||||||||
\(898\) | −1.65480e17 | − | 2.86619e17i | −0.315564 | − | 0.546572i | ||||
\(899\) | −1.52245e17 | − | 8.78988e16i | −0.288393 | − | 0.166504i | ||||
\(900\) | −8.11013e15 | + | 1.40472e16i | −0.0152606 | + | 0.0264322i | ||||
\(901\) | 9.83848e16 | − | 5.68025e16i | 0.183899 | − | 0.106174i | ||||
\(902\) | − | 6.52812e17i | − | 1.21213i | ||||||
\(903\) | 5.02608e17 | + | 2.35306e17i | 0.927049 | + | 0.434017i | ||||
\(904\) | −2.40377e17 | −0.440435 | ||||||||
\(905\) | 1.80730e17 | + | 3.13034e17i | 0.328957 | + | 0.569770i | ||||
\(906\) | 1.63238e17 | + | 9.42454e16i | 0.295156 | + | 0.170408i | ||||
\(907\) | −1.17389e17 | + | 2.03324e17i | −0.210856 | + | 0.365213i | −0.951983 | − | 0.306152i | \(-0.900958\pi\) |
0.741127 | + | 0.671365i | \(0.234292\pi\) | |||||||
\(908\) | 2.86958e17 | − | 1.65675e17i | 0.512039 | − | 0.295626i | ||||
\(909\) | − | 7.35175e14i | − | 0.00130319i | ||||||
\(910\) | −4.45472e16 | + | 9.51516e16i | −0.0784462 | + | 0.167559i | ||||
\(911\) | 2.85714e17 | 0.499829 | 0.249915 | − | 0.968268i | \(-0.419597\pi\) | ||||
0.249915 | + | 0.968268i | \(0.419597\pi\) | |||||||
\(912\) | 7.86573e16 | + | 1.36239e17i | 0.136701 | + | 0.236772i | ||||
\(913\) | −1.17847e18 | − | 6.80391e17i | −2.03467 | − | 1.17472i | ||||
\(914\) | −2.94814e17 | + | 5.10633e17i | −0.505674 | + | 0.875854i | ||||
\(915\) | 1.79142e17 | − | 1.03428e17i | 0.305261 | − | 0.176243i | ||||
\(916\) | 1.76463e17i | 0.298731i | ||||||||
\(917\) | −7.86833e17 | + | 5.49156e17i | −1.32333 | + | 0.923591i | ||||
\(918\) | −1.32999e17 | −0.222225 | ||||||||
\(919\) | −2.02204e17 | − | 3.50228e17i | −0.335658 | − | 0.581377i | 0.647953 | − | 0.761680i | \(-0.275625\pi\) |
−0.983611 | + | 0.180304i | \(0.942292\pi\) | |||||||
\(920\) | −2.68378e17 | − | 1.54948e17i | −0.442608 | − | 0.255540i | ||||
\(921\) | 1.72955e17 | − | 2.99567e17i | 0.283384 | − | 0.490836i | ||||
\(922\) | 9.37667e16 | − | 5.41362e16i | 0.152638 | − | 0.0881257i | ||||
\(923\) | − | 9.89164e16i | − | 0.159977i | ||||||
\(924\) | −2.83862e16 | − | 3.30270e17i | −0.0456116 | − | 0.530686i | ||||
\(925\) | 5.02545e16 | 0.0802277 | ||||||||
\(926\) | 1.68319e17 | + | 2.91538e17i | 0.266973 | + | 0.462411i | ||||
\(927\) | 4.94022e17 | + | 2.85224e17i | 0.778517 | + | 0.449477i | ||||
\(928\) | −5.40094e16 | + | 9.35470e16i | −0.0845632 | + | 0.146468i | ||||
\(929\) | 1.04979e18 | − | 6.06094e17i | 1.63308 | − | 0.942856i | 0.649938 | − | 0.759987i | \(-0.274795\pi\) |
0.983137 | − | 0.182869i | \(-0.0585384\pi\) | |||||||
\(930\) | 1.05025e17i | 0.162329i | ||||||||
\(931\) | 7.77531e17 | − | 6.48385e17i | 1.19404 | − | 0.995714i | ||||
\(932\) | −3.18722e17 | −0.486314 | ||||||||
\(933\) | 1.66555e17 | + | 2.88482e17i | 0.252504 | + | 0.437350i | ||||
\(934\) | −9.88384e16 | − | 5.70644e16i | −0.148883 | − | 0.0859575i | ||||
\(935\) | −1.40812e17 | + | 2.43894e17i | −0.210751 | + | 0.365032i | ||||
\(936\) | 2.90270e16 | − | 1.67587e16i | 0.0431665 | − | 0.0249222i | ||||
\(937\) | 1.24564e17i | 0.184058i | 0.995756 | + | 0.0920292i | \(0.0293353\pi\) | ||||
−0.995756 | + | 0.0920292i | \(0.970665\pi\) | |||||||
\(938\) | −3.55469e17 | + | 3.05520e16i | −0.521897 | + | 0.0448562i | ||||
\(939\) | 5.92925e17 | 0.864981 | ||||||||
\(940\) | −1.63770e17 | − | 2.83658e17i | −0.237393 | − | 0.411176i | ||||
\(941\) | 6.82895e17 | + | 3.94269e17i | 0.983594 | + | 0.567878i | 0.903353 | − | 0.428897i | \(-0.141098\pi\) |
0.0802409 | + | 0.996775i | \(0.474431\pi\) | |||||||
\(942\) | 2.68665e17 | − | 4.65342e17i | 0.384509 | − | 0.665989i | ||||
\(943\) | −1.06267e18 | + | 6.13535e17i | −1.51123 | + | 0.872507i | ||||
\(944\) | − | 8.49768e16i | − | 0.120079i | ||||||
\(945\) | −4.04647e17 | − | 5.79780e17i | −0.568179 | − | 0.814090i | ||||
\(946\) | −1.11693e18 | −1.55840 | ||||||||
\(947\) | 2.52162e17 | + | 4.36757e17i | 0.349606 | + | 0.605536i | 0.986180 | − | 0.165680i | \(-0.0529820\pi\) |
−0.636573 | + | 0.771216i | \(0.719649\pi\) | |||||||
\(948\) | −5.75543e15 | − | 3.32290e15i | −0.00792917 | − | 0.00457791i | ||||
\(949\) | 4.37106e16 | − | 7.57090e16i | 0.0598398 | − | 0.103646i | ||||
\(950\) | −8.45596e16 | + | 4.88205e16i | −0.115033 | + | 0.0664142i | ||||
\(951\) | 9.19068e17i | 1.24241i | ||||||||
\(952\) | −7.07528e16 | − | 3.31244e16i | −0.0950435 | − | 0.0444965i | ||||
\(953\) | −1.53450e17 | −0.204837 | −0.102419 | − | 0.994741i | \(-0.532658\pi\) | ||||
−0.102419 | + | 0.994741i | \(0.532658\pi\) | |||||||
\(954\) | −9.63328e16 | − | 1.66853e17i | −0.127786 | − | 0.221332i | ||||
\(955\) | −5.26570e17 | − | 3.04015e17i | −0.694122 | − | 0.400752i | ||||
\(956\) | −2.18589e17 | + | 3.78607e17i | −0.286339 | + | 0.495954i | ||||
\(957\) | 6.78039e17 | − | 3.91466e17i | 0.882639 | − | 0.509592i | ||||
\(958\) | 1.27417e17i | 0.164829i | ||||||||
\(959\) | −4.06149e17 | + | 8.67523e17i | −0.522124 | + | 1.11524i | ||||
\(960\) | 6.45329e16 | 0.0824429 | ||||||||
\(961\) | −3.46117e17 | − | 5.99493e17i | −0.439423 | − | 0.761103i | ||||
\(962\) | −8.99329e16 | − | 5.19228e16i | −0.113467 | − | 0.0655100i | ||||
\(963\) | −2.52877e17 | + | 4.37997e17i | −0.317068 | + | 0.549178i | ||||
\(964\) | 2.04641e17 | − | 1.18150e17i | 0.254995 | − | 0.147221i | ||||
\(965\) | − | 8.76091e17i | − | 1.08489i | ||||||
\(966\) | −5.10949e17 | + | 3.56608e17i | −0.628804 | + | 0.438862i | ||||
\(967\) | −7.09549e17 | −0.867807 | −0.433904 | − | 0.900959i | \(-0.642864\pi\) | ||||
−0.433904 | + | 0.900959i | \(0.642864\pi\) | |||||||
\(968\) | 1.88141e17 | + | 3.25870e17i | 0.228682 | + | 0.396089i | ||||
\(969\) | −2.32721e17 | − | 1.34361e17i | −0.281121 | − | 0.162305i | ||||
\(970\) | 1.29197e17 | − | 2.23775e17i | 0.155103 | − | 0.268647i | ||||
\(971\) | −1.82086e17 | + | 1.05128e17i | −0.217251 | + | 0.125430i | −0.604677 | − | 0.796471i | \(-0.706698\pi\) |
0.387426 | + | 0.921901i | \(0.373364\pi\) | |||||||
\(972\) | 3.75406e17i | 0.445147i | ||||||||
\(973\) | 1.25657e17 | + | 1.46201e18i | 0.148085 | + | 1.72295i | ||||
\(974\) | 1.00589e18 | 1.17814 | ||||||||
\(975\) | −1.01867e16 | − | 1.76439e16i | −0.0118578 | − | 0.0205384i | ||||
\(976\) | −1.00015e17 | − | 5.77439e16i | −0.115709 | − | 0.0668048i | ||||
\(977\) | 3.67280e17 | − | 6.36148e17i | 0.422309 | − | 0.731460i | −0.573856 | − | 0.818956i | \(-0.694553\pi\) |
0.996165 | + | 0.0874959i | \(0.0278865\pi\) | |||||||
\(978\) | −1.71298e17 | + | 9.88989e16i | −0.195758 | + | 0.113021i | ||||
\(979\) | 1.70297e18i | 1.93425i | ||||||||
\(980\) | −7.08656e16 | − | 4.09212e17i | −0.0799980 | − | 0.461946i | ||||
\(981\) | −7.02948e17 | −0.788695 | ||||||||
\(982\) | 6.18089e17 | + | 1.07056e18i | 0.689258 | + | 1.19383i | ||||
\(983\) | −7.32090e17 | − | 4.22672e17i | −0.811415 | − | 0.468471i | 0.0360317 | − | 0.999351i | \(-0.488528\pi\) |
−0.847447 | + | 0.530880i | \(0.821862\pi\) | |||||||
\(984\) | 1.27763e17 | − | 2.21291e17i | 0.140745 | − | 0.243778i | ||||
\(985\) | 6.70254e17 | − | 3.86971e17i | 0.733875 | − | 0.423703i | ||||
\(986\) | − | 1.84516e17i | − | 0.200804i | ||||||
\(987\) | −6.56144e17 | + | 5.63945e16i | −0.709735 | + | 0.0610005i | ||||
\(988\) | 2.01765e17 | 0.216922 | ||||||||
\(989\) | 1.04972e18 | + | 1.81818e18i | 1.12175 | + | 1.94294i | ||||
\(990\) | 4.13626e17 | + | 2.38807e17i | 0.439335 | + | 0.253650i | ||||
\(991\) | 7.85878e17 | − | 1.36118e18i | 0.829685 | − | 1.43706i | −0.0686004 | − | 0.997644i | \(-0.521853\pi\) |
0.898285 | − | 0.439412i | \(-0.144813\pi\) | |||||||
\(992\) | 5.07802e16 | − | 2.93179e16i | 0.0532873 | − | 0.0307655i | ||||
\(993\) | 1.36518e17i | 0.142394i | ||||||||
\(994\) | 2.23781e17 | + | 3.20635e17i | 0.232009 | + | 0.332424i | ||||
\(995\) | −1.12034e18 | −1.15455 | ||||||||
\(996\) | −2.66321e17 | − | 4.61281e17i | −0.272803 | − | 0.472508i | ||||
\(997\) | −4.43092e17 | − | 2.55819e17i | −0.451152 | − | 0.260473i | 0.257165 | − | 0.966368i | \(-0.417212\pi\) |
−0.708316 | + | 0.705895i | \(0.750545\pi\) | |||||||
\(998\) | 4.50462e17 | − | 7.80223e17i | 0.455906 | − | 0.789652i | ||||
\(999\) | 6.05205e17 | − | 3.49415e17i | 0.608849 | − | 0.351519i |
(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 | 14.13.d.a.3.6 | ✓ | 16 | |
3.2 | odd | 2 | 126.13.n.a.73.4 | 16 | |||
4.3 | odd | 2 | 112.13.s.c.17.6 | 16 | |||
7.2 | even | 3 | 98.13.d.a.19.7 | 16 | |||
7.3 | odd | 6 | 98.13.b.c.97.3 | 16 | |||
7.4 | even | 3 | 98.13.b.c.97.6 | 16 | |||
7.5 | odd | 6 | inner | 14.13.d.a.5.6 | yes | 16 | |
7.6 | odd | 2 | 98.13.d.a.31.7 | 16 | |||
21.5 | even | 6 | 126.13.n.a.19.4 | 16 | |||
28.19 | even | 6 | 112.13.s.c.33.6 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
14.13.d.a.3.6 | ✓ | 16 | 1.1 | even | 1 | trivial | |
14.13.d.a.5.6 | yes | 16 | 7.5 | odd | 6 | inner | |
98.13.b.c.97.3 | 16 | 7.3 | odd | 6 | |||
98.13.b.c.97.6 | 16 | 7.4 | even | 3 | |||
98.13.d.a.19.7 | 16 | 7.2 | even | 3 | |||
98.13.d.a.31.7 | 16 | 7.6 | odd | 2 | |||
112.13.s.c.17.6 | 16 | 4.3 | odd | 2 | |||
112.13.s.c.33.6 | 16 | 28.19 | even | 6 | |||
126.13.n.a.19.4 | 16 | 21.5 | even | 6 | |||
126.13.n.a.73.4 | 16 | 3.2 | odd | 2 |