Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [7,12,Mod(2,7)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(7, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 12, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("7.2");
S:= CuspForms(chi, 12);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 7 \) |
Weight: | \( k \) | \(=\) | \( 12 \) |
Character orbit: | \([\chi]\) | \(=\) | 7.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: | \(5.37840226392\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - x^{11} + 1846 x^{10} + 9475 x^{9} + 2735534 x^{8} + 11305015 x^{7} + 1247863105 x^{6} + \cdots + 4089842896896 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 2^{20}\cdot 3^{3}\cdot 7^{6} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 4.4 | ||
Root | \(-1.81957 - 3.15159i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 7.4 |
Dual form | 7.12.c.a.2.4 |
$q$-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 \(\left(\mathbb{Z}/7\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 5.63915 | + | 9.76729i | 0.124609 | + | 0.215829i | 0.921580 | − | 0.388189i | \(-0.126899\pi\) |
−0.796971 | + | 0.604017i | \(0.793566\pi\) | |||||||
\(3\) | −23.0866 | + | 39.9871i | −0.0548520 | + | 0.0950064i | −0.892148 | − | 0.451744i | \(-0.850802\pi\) |
0.837296 | + | 0.546750i | \(0.184135\pi\) | |||||||
\(4\) | 960.400 | − | 1663.46i | 0.468945 | − | 0.812237i | ||||
\(5\) | 4304.93 | + | 7456.37i | 0.616072 | + | 1.06707i | 0.990195 | + | 0.139689i | \(0.0446103\pi\) |
−0.374123 | + | 0.927379i | \(0.622056\pi\) | |||||||
\(6\) | −520.754 | −0.0273401 | ||||||||
\(7\) | 44340.4 | + | 3354.68i | 0.997150 | + | 0.0754417i | ||||
\(8\) | 44761.3 | 0.482956 | ||||||||
\(9\) | 87507.5 | + | 151567.i | 0.493983 | + | 0.855603i | ||||
\(10\) | −48552.3 | + | 84095.1i | −0.153536 | + | 0.265932i | ||||
\(11\) | 316770. | − | 548662.i | 0.593041 | − | 1.02718i | −0.400779 | − | 0.916175i | \(-0.631261\pi\) |
0.993820 | − | 0.111002i | \(-0.0354061\pi\) | |||||||
\(12\) | 44344.7 | + | 76807.2i | 0.0514452 | + | 0.0891056i | ||||
\(13\) | −2.31023e6 | −1.72570 | −0.862852 | − | 0.505456i | \(-0.831324\pi\) | ||||
−0.862852 | + | 0.505456i | \(0.831324\pi\) | |||||||
\(14\) | 217276. | + | 452003.i | 0.107971 | + | 0.224614i | ||||
\(15\) | −397544. | −0.135171 | ||||||||
\(16\) | −1.71448e6 | − | 2.96957e6i | −0.408765 | − | 0.708001i | ||||
\(17\) | 541013. | − | 937063.i | 0.0924142 | − | 0.160066i | −0.816112 | − | 0.577893i | \(-0.803875\pi\) |
0.908526 | + | 0.417827i | \(0.137208\pi\) | |||||||
\(18\) | −986935. | + | 1.70942e6i | −0.123109 | + | 0.213231i | ||||
\(19\) | 3.46533e6 | + | 6.00213e6i | 0.321070 | + | 0.556110i | 0.980709 | − | 0.195473i | \(-0.0626242\pi\) |
−0.659639 | + | 0.751583i | \(0.729291\pi\) | |||||||
\(20\) | 1.65378e7 | 1.15562 | ||||||||
\(21\) | −1.15781e6 | + | 1.69560e6i | −0.0618631 | + | 0.0905975i | ||||
\(22\) | 7.14526e6 | 0.295592 | ||||||||
\(23\) | 33074.7 | + | 57287.1i | 0.00107150 | + | 0.00185590i | 0.866561 | − | 0.499072i | \(-0.166326\pi\) |
−0.865489 | + | 0.500928i | \(0.832992\pi\) | |||||||
\(24\) | −1.03338e6 | + | 1.78987e6i | −0.0264911 | + | 0.0458839i | ||||
\(25\) | −1.26509e7 | + | 2.19119e7i | −0.259090 | + | 0.448756i | ||||
\(26\) | −1.30277e7 | − | 2.25647e7i | −0.215038 | − | 0.372456i | ||||
\(27\) | −1.62604e7 | −0.218088 | ||||||||
\(28\) | 4.81649e7 | − | 7.05368e7i | 0.528885 | − | 0.774544i | ||||
\(29\) | −1.55800e8 | −1.41051 | −0.705257 | − | 0.708952i | \(-0.749168\pi\) | ||||
−0.705257 | + | 0.708952i | \(0.749168\pi\) | |||||||
\(30\) | −2.24181e6 | − | 3.88293e6i | −0.0168435 | − | 0.0291738i | ||||
\(31\) | −4.72954e7 | + | 8.19180e7i | −0.296708 | + | 0.513913i | −0.975381 | − | 0.220528i | \(-0.929222\pi\) |
0.678673 | + | 0.734441i | \(0.262555\pi\) | |||||||
\(32\) | 6.51720e7 | − | 1.12881e8i | 0.343349 | − | 0.594698i | ||||
\(33\) | 1.46263e7 | + | 2.53334e7i | 0.0650589 | + | 0.112685i | ||||
\(34\) | 1.22034e7 | 0.0460625 | ||||||||
\(35\) | 1.65869e8 | + | 3.45060e8i | 0.533815 | + | 1.11050i | ||||
\(36\) | 3.36169e8 | 0.926603 | ||||||||
\(37\) | −1.78046e8 | − | 3.08384e8i | −0.422106 | − | 0.731109i | 0.574039 | − | 0.818828i | \(-0.305376\pi\) |
−0.996145 | + | 0.0877186i | \(0.972042\pi\) | |||||||
\(38\) | −3.90830e7 | + | 6.76937e7i | −0.0800162 | + | 0.138592i | ||||
\(39\) | 5.33352e7 | − | 9.23793e7i | 0.0946583 | − | 0.163953i | ||||
\(40\) | 1.92694e8 | + | 3.33756e8i | 0.297536 | + | 0.515347i | ||||
\(41\) | 7.58734e8 | 1.02277 | 0.511385 | − | 0.859352i | \(-0.329132\pi\) | ||||
0.511385 | + | 0.859352i | \(0.329132\pi\) | |||||||
\(42\) | −2.30904e7 | − | 1.74696e6i | −0.0272622 | − | 0.00206258i | ||||
\(43\) | −1.10138e9 | −1.14251 | −0.571255 | − | 0.820772i | \(-0.693543\pi\) | ||||
−0.571255 | + | 0.820772i | \(0.693543\pi\) | |||||||
\(44\) | −6.08453e8 | − | 1.05387e9i | −0.556208 | − | 0.963380i | ||||
\(45\) | −7.53428e8 | + | 1.30498e9i | −0.608658 | + | 1.05423i | ||||
\(46\) | −373026. | + | 646100.i | −0.000267037 | + | 0.000462521i | ||||
\(47\) | −1.12802e9 | − | 1.95379e9i | −0.717430 | − | 1.24263i | −0.962015 | − | 0.272998i | \(-0.911985\pi\) |
0.244585 | − | 0.969628i | \(-0.421348\pi\) | |||||||
\(48\) | 1.58326e8 | 0.0896862 | ||||||||
\(49\) | 1.95482e9 | + | 2.97495e8i | 0.988617 | + | 0.150453i | ||||
\(50\) | −2.85360e8 | −0.129139 | ||||||||
\(51\) | 2.49803e7 | + | 4.32671e7i | 0.0101382 | + | 0.0175599i | ||||
\(52\) | −2.21874e9 | + | 3.84298e9i | −0.809261 | + | 1.40168i | ||||
\(53\) | 1.36890e9 | − | 2.37100e9i | 0.449629 | − | 0.778781i | −0.548733 | − | 0.835998i | \(-0.684889\pi\) |
0.998362 | + | 0.0572174i | \(0.0182228\pi\) | |||||||
\(54\) | −9.16949e7 | − | 1.58820e8i | −0.0271756 | − | 0.0470695i | ||||
\(55\) | 5.45470e9 | 1.46142 | ||||||||
\(56\) | 1.98473e9 | + | 1.50160e8i | 0.481580 | + | 0.0364350i | ||||
\(57\) | −3.20010e8 | −0.0704453 | ||||||||
\(58\) | −8.78577e8 | − | 1.52174e9i | −0.175762 | − | 0.304429i | ||||
\(59\) | −1.20991e9 | + | 2.09563e9i | −0.220327 | + | 0.381618i | −0.954907 | − | 0.296904i | \(-0.904046\pi\) |
0.734580 | + | 0.678522i | \(0.237379\pi\) | |||||||
\(60\) | −3.81802e8 | + | 6.61300e8i | −0.0633878 | + | 0.109791i | ||||
\(61\) | 1.13391e9 | + | 1.96398e9i | 0.171895 | + | 0.297731i | 0.939082 | − | 0.343692i | \(-0.111678\pi\) |
−0.767187 | + | 0.641423i | \(0.778344\pi\) | |||||||
\(62\) | −1.06682e9 | −0.147890 | ||||||||
\(63\) | 3.37166e9 | + | 7.01412e9i | 0.428027 | + | 0.890431i | ||||
\(64\) | −5.55247e9 | −0.646392 | ||||||||
\(65\) | −9.94538e9 | − | 1.72259e10i | −1.06316 | − | 1.84144i | ||||
\(66\) | −1.64959e8 | + | 2.85718e8i | −0.0162138 | + | 0.0280832i | ||||
\(67\) | 2.44909e9 | − | 4.24196e9i | 0.221612 | − | 0.383844i | −0.733685 | − | 0.679489i | \(-0.762201\pi\) |
0.955298 | + | 0.295645i | \(0.0955347\pi\) | |||||||
\(68\) | −1.03918e9 | − | 1.79991e9i | −0.0866745 | − | 0.150125i | ||||
\(69\) | −3.05432e6 | −0.000235096 | ||||||||
\(70\) | −2.43494e9 | + | 3.56593e9i | −0.173161 | + | 0.253591i | ||||
\(71\) | −2.89542e9 | −0.190455 | −0.0952273 | − | 0.995456i | \(-0.530358\pi\) | ||||
−0.0952273 | + | 0.995456i | \(0.530358\pi\) | |||||||
\(72\) | 3.91695e9 | + | 6.78435e9i | 0.238572 | + | 0.413219i | ||||
\(73\) | −8.54211e9 | + | 1.47954e10i | −0.482269 | + | 0.835314i | −0.999793 | − | 0.0203545i | \(-0.993521\pi\) |
0.517524 | + | 0.855669i | \(0.326854\pi\) | |||||||
\(74\) | 2.00805e9 | − | 3.47804e9i | 0.105196 | − | 0.182205i | ||||
\(75\) | −5.84129e8 | − | 1.01174e9i | −0.0284231 | − | 0.0492303i | ||||
\(76\) | 1.33124e10 | 0.602257 | ||||||||
\(77\) | 1.58863e10 | − | 2.32653e10i | 0.668843 | − | 0.979510i | ||||
\(78\) | 1.20306e9 | 0.0471810 | ||||||||
\(79\) | 1.73416e10 | + | 3.00366e10i | 0.634075 | + | 1.09825i | 0.986710 | + | 0.162490i | \(0.0519524\pi\) |
−0.352635 | + | 0.935761i | \(0.614714\pi\) | |||||||
\(80\) | 1.47615e10 | − | 2.55676e10i | 0.503657 | − | 0.872360i | ||||
\(81\) | −1.51263e10 | + | 2.61995e10i | −0.482020 | + | 0.834883i | ||||
\(82\) | 4.27861e9 | + | 7.41077e9i | 0.127446 | + | 0.220743i | ||||
\(83\) | −1.98020e10 | −0.551797 | −0.275899 | − | 0.961187i | \(-0.588975\pi\) | ||||
−0.275899 | + | 0.961187i | \(0.588975\pi\) | |||||||
\(84\) | 1.70860e9 | + | 3.55443e9i | 0.0445763 | + | 0.0927328i | ||||
\(85\) | 9.31611e9 | 0.227735 | ||||||||
\(86\) | −6.21084e9 | − | 1.07575e10i | −0.142367 | − | 0.246586i | ||||
\(87\) | 3.59688e9 | − | 6.22997e9i | 0.0773695 | − | 0.134008i | ||||
\(88\) | 1.41790e10 | − | 2.45588e10i | 0.286413 | − | 0.496081i | ||||
\(89\) | −4.82984e9 | − | 8.36552e9i | −0.0916827 | − | 0.158799i | 0.816537 | − | 0.577294i | \(-0.195891\pi\) |
−0.908219 | + | 0.418495i | \(0.862558\pi\) | |||||||
\(90\) | −1.69948e10 | −0.303376 | ||||||||
\(91\) | −1.02436e11 | − | 7.75007e9i | −1.72079 | − | 0.130190i | ||||
\(92\) | 1.27060e8 | 0.00200990 | ||||||||
\(93\) | −2.18377e9 | − | 3.78241e9i | −0.0325500 | − | 0.0563783i | ||||
\(94\) | 1.27222e10 | − | 2.20354e10i | 0.178796 | − | 0.309684i | ||||
\(95\) | −2.98360e10 | + | 5.16775e10i | −0.395605 | + | 0.685207i | ||||
\(96\) | 3.00919e9 | + | 5.21208e9i | 0.0376668 | + | 0.0652408i | ||||
\(97\) | −3.82050e10 | −0.451726 | −0.225863 | − | 0.974159i | \(-0.572520\pi\) | ||||
−0.225863 | + | 0.974159i | \(0.572520\pi\) | |||||||
\(98\) | 8.11779e9 | + | 2.07709e10i | 0.0907181 | + | 0.232120i | ||||
\(99\) | 1.10879e11 | 1.17181 | ||||||||
\(100\) | 2.42998e10 | + | 4.20884e10i | 0.242998 | + | 0.420884i | ||||
\(101\) | 8.80091e10 | − | 1.52436e11i | 0.833221 | − | 1.44318i | −0.0622498 | − | 0.998061i | \(-0.519828\pi\) |
0.895471 | − | 0.445120i | \(-0.146839\pi\) | |||||||
\(102\) | −2.81735e8 | + | 4.87979e8i | −0.00252662 | + | 0.00437623i | ||||
\(103\) | 3.31920e10 | + | 5.74903e10i | 0.282117 | + | 0.488641i | 0.971906 | − | 0.235370i | \(-0.0756301\pi\) |
−0.689789 | + | 0.724010i | \(0.742297\pi\) | |||||||
\(104\) | −1.03409e11 | −0.833439 | ||||||||
\(105\) | −1.76273e10 | − | 1.33363e9i | −0.134786 | − | 0.0101975i | ||||
\(106\) | 3.08777e10 | 0.224111 | ||||||||
\(107\) | 1.21752e11 | + | 2.10881e11i | 0.839202 | + | 1.45354i | 0.890562 | + | 0.454861i | \(0.150311\pi\) |
−0.0513599 | + | 0.998680i | \(0.516356\pi\) | |||||||
\(108\) | −1.56165e10 | + | 2.70486e10i | −0.102271 | + | 0.177139i | ||||
\(109\) | 7.13685e10 | − | 1.23614e11i | 0.444284 | − | 0.769522i | −0.553718 | − | 0.832704i | \(-0.686791\pi\) |
0.998002 | + | 0.0631818i | \(0.0201248\pi\) | |||||||
\(110\) | 3.07599e10 | + | 5.32776e10i | 0.182106 | + | 0.315417i | ||||
\(111\) | 1.64418e10 | 0.0926134 | ||||||||
\(112\) | −6.60590e10 | − | 1.37424e11i | −0.354187 | − | 0.736822i | ||||
\(113\) | −8.67752e10 | −0.443062 | −0.221531 | − | 0.975153i | \(-0.571105\pi\) | ||||
−0.221531 | + | 0.975153i | \(0.571105\pi\) | |||||||
\(114\) | −1.80458e9 | − | 3.12563e9i | −0.00877809 | − | 0.0152041i | ||||
\(115\) | −2.84769e8 | + | 4.93234e8i | −0.00132024 | + | 0.00228673i | ||||
\(116\) | −1.49630e11 | + | 2.59167e11i | −0.661454 | + | 1.14567i | ||||
\(117\) | −2.02162e11 | − | 3.50155e11i | −0.852468 | − | 1.47652i | ||||
\(118\) | −2.72915e10 | −0.109819 | ||||||||
\(119\) | 2.71323e10 | − | 3.97348e10i | 0.104227 | − | 0.152638i | ||||
\(120\) | −1.77946e10 | −0.0652817 | ||||||||
\(121\) | −5.80311e10 | − | 1.00513e11i | −0.203395 | − | 0.352291i | ||||
\(122\) | −1.27885e10 | + | 2.21504e10i | −0.0428392 | + | 0.0741997i | ||||
\(123\) | −1.75166e10 | + | 3.03396e10i | −0.0561010 | + | 0.0971698i | ||||
\(124\) | 9.08449e10 | + | 1.57348e11i | 0.278280 | + | 0.481994i | ||||
\(125\) | 2.02559e11 | 0.593673 | ||||||||
\(126\) | −4.94957e10 | + | 7.24856e10i | −0.138845 | + | 0.203336i | ||||
\(127\) | −8.72575e10 | −0.234359 | −0.117180 | − | 0.993111i | \(-0.537385\pi\) | ||||
−0.117180 | + | 0.993111i | \(0.537385\pi\) | |||||||
\(128\) | −1.64783e11 | − | 2.85413e11i | −0.423895 | − | 0.734208i | ||||
\(129\) | 2.54270e10 | − | 4.40409e10i | 0.0626690 | − | 0.108546i | ||||
\(130\) | 1.12167e11 | − | 1.94279e11i | 0.264958 | − | 0.458920i | ||||
\(131\) | 3.14481e11 | + | 5.44697e11i | 0.712200 | + | 1.23357i | 0.964030 | + | 0.265795i | \(0.0856343\pi\) |
−0.251830 | + | 0.967772i | \(0.581032\pi\) | |||||||
\(132\) | 5.61883e10 | 0.122036 | ||||||||
\(133\) | 1.33519e11 | + | 2.77762e11i | 0.278201 | + | 0.578747i | ||||
\(134\) | 5.52432e10 | 0.110459 | ||||||||
\(135\) | −7.00000e10 | − | 1.21244e11i | −0.134358 | − | 0.232714i | ||||
\(136\) | 2.42165e10 | − | 4.19441e10i | 0.0446320 | − | 0.0773049i | ||||
\(137\) | 1.29616e10 | − | 2.24501e10i | 0.0229454 | − | 0.0397425i | −0.854325 | − | 0.519740i | \(-0.826029\pi\) |
0.877270 | + | 0.479997i | \(0.159362\pi\) | |||||||
\(138\) | −1.72238e7 | − | 2.98325e7i | −2.92950e−5 | − | 5.07404e-5i | ||||
\(139\) | 1.79285e11 | 0.293064 | 0.146532 | − | 0.989206i | \(-0.453189\pi\) | ||||
0.146532 | + | 0.989206i | \(0.453189\pi\) | |||||||
\(140\) | 7.33295e11 | + | 5.54791e10i | 1.15232 | + | 0.0871816i | ||||
\(141\) | 1.04169e11 | 0.157410 | ||||||||
\(142\) | −1.63277e10 | − | 2.82804e10i | −0.0237323 | − | 0.0411055i | ||||
\(143\) | −7.31812e11 | + | 1.26754e12i | −1.02341 | + | 1.77260i | ||||
\(144\) | 3.00060e11 | − | 5.19720e11i | 0.403845 | − | 0.699481i | ||||
\(145\) | −6.70707e11 | − | 1.16170e12i | −0.868978 | − | 1.50511i | ||||
\(146\) | −1.92681e11 | −0.240380 | ||||||||
\(147\) | −5.70260e10 | + | 7.12994e10i | −0.0685216 | + | 0.0856723i | ||||
\(148\) | −6.83980e11 | −0.791779 | ||||||||
\(149\) | −3.13415e11 | − | 5.42851e11i | −0.349619 | − | 0.605558i | 0.636562 | − | 0.771225i | \(-0.280356\pi\) |
−0.986182 | + | 0.165667i | \(0.947022\pi\) | |||||||
\(150\) | 6.58798e9 | − | 1.14107e10i | 0.00708354 | − | 0.0122691i | ||||
\(151\) | 1.45536e11 | − | 2.52076e11i | 0.150868 | − | 0.261311i | −0.780679 | − | 0.624932i | \(-0.785127\pi\) |
0.931547 | + | 0.363622i | \(0.118460\pi\) | |||||||
\(152\) | 1.55113e11 | + | 2.68663e11i | 0.155063 | + | 0.268576i | ||||
\(153\) | 1.89371e11 | 0.182604 | ||||||||
\(154\) | 3.16824e11 | + | 2.39700e10i | 0.294750 | + | 0.0223000i | ||||
\(155\) | −8.14414e11 | −0.731174 | ||||||||
\(156\) | −1.02446e11 | − | 1.77442e11i | −0.0887791 | − | 0.153770i | ||||
\(157\) | −5.47256e11 | + | 9.47875e11i | −0.457870 | + | 0.793054i | −0.998848 | − | 0.0479823i | \(-0.984721\pi\) |
0.540978 | + | 0.841037i | \(0.318054\pi\) | |||||||
\(158\) | −1.95584e11 | + | 3.38761e11i | −0.158023 | + | 0.273703i | ||||
\(159\) | 6.32064e10 | + | 1.09477e11i | 0.0493261 | + | 0.0854353i | ||||
\(160\) | 1.12224e12 | 0.846112 | ||||||||
\(161\) | 1.27437e9 | + | 2.65109e9i | 0.000928436 | + | 0.00193144i | ||||
\(162\) | −3.41198e11 | −0.240256 | ||||||||
\(163\) | −2.46089e10 | − | 4.26238e10i | −0.0167517 | − | 0.0290148i | 0.857528 | − | 0.514437i | \(-0.171999\pi\) |
−0.874280 | + | 0.485422i | \(0.838666\pi\) | |||||||
\(164\) | 7.28688e11 | − | 1.26212e12i | 0.479624 | − | 0.830732i | ||||
\(165\) | −1.25930e11 | + | 2.18118e11i | −0.0801620 | + | 0.138845i | ||||
\(166\) | −1.11666e11 | − | 1.93412e11i | −0.0687587 | − | 0.119094i | ||||
\(167\) | 1.81504e12 | 1.08130 | 0.540649 | − | 0.841248i | \(-0.318179\pi\) | ||||
0.540649 | + | 0.841248i | \(0.318179\pi\) | |||||||
\(168\) | −5.18251e10 | + | 7.58971e10i | −0.0298772 | + | 0.0437546i | ||||
\(169\) | 3.54499e12 | 1.97806 | ||||||||
\(170\) | 5.25349e10 | + | 9.09931e10i | 0.0283778 | + | 0.0491518i | ||||
\(171\) | −6.06485e11 | + | 1.05046e12i | −0.317206 | + | 0.549417i | ||||
\(172\) | −1.05776e12 | + | 1.83210e12i | −0.535775 | + | 0.927990i | ||||
\(173\) | −5.08144e11 | − | 8.80130e11i | −0.249306 | − | 0.431811i | 0.714027 | − | 0.700118i | \(-0.246869\pi\) |
−0.963333 | + | 0.268307i | \(0.913536\pi\) | |||||||
\(174\) | 8.11332e10 | 0.0385636 | ||||||||
\(175\) | −6.34452e11 | + | 9.29145e11i | −0.292206 | + | 0.427931i | ||||
\(176\) | −2.17239e12 | −0.969657 | ||||||||
\(177\) | −5.58655e10 | − | 9.67619e10i | −0.0241708 | − | 0.0418650i | ||||
\(178\) | 5.44723e10 | − | 9.43488e10i | 0.0228489 | − | 0.0395755i | ||||
\(179\) | 2.17842e12 | − | 3.77314e12i | 0.886034 | − | 1.53466i | 0.0415106 | − | 0.999138i | \(-0.486783\pi\) |
0.844524 | − | 0.535518i | \(-0.179884\pi\) | |||||||
\(180\) | 1.44719e12 | + | 2.50660e12i | 0.570854 | + | 0.988749i | ||||
\(181\) | −4.70600e12 | −1.80061 | −0.900305 | − | 0.435260i | \(-0.856656\pi\) | ||||
−0.900305 | + | 0.435260i | \(0.856656\pi\) | |||||||
\(182\) | −5.01957e11 | − | 1.04423e12i | −0.186326 | − | 0.387618i | ||||
\(183\) | −1.04712e11 | −0.0377151 | ||||||||
\(184\) | 1.48047e9 | + | 2.56424e9i | 0.000517488 | + | 0.000896316i | ||||
\(185\) | 1.53295e12 | − | 2.65515e12i | 0.520096 | − | 0.900832i | ||||
\(186\) | 2.46292e10 | − | 4.26591e10i | 0.00811203 | − | 0.0140505i | ||||
\(187\) | −3.42754e11 | − | 5.93667e11i | −0.109611 | − | 0.189852i | ||||
\(188\) | −4.33341e12 | −1.34574 | ||||||||
\(189\) | −7.20994e11 | − | 5.45484e10i | −0.217466 | − | 0.0164529i | ||||
\(190\) | −6.72999e11 | −0.197183 | ||||||||
\(191\) | 1.73484e12 | + | 3.00483e12i | 0.493828 | + | 0.855336i | 0.999975 | − | 0.00711174i | \(-0.00226376\pi\) |
−0.506146 | + | 0.862448i | \(0.668930\pi\) | |||||||
\(192\) | 1.28187e11 | − | 2.22027e11i | 0.0354559 | − | 0.0614114i | ||||
\(193\) | −2.16542e12 | + | 3.75062e12i | −0.582073 | + | 1.00818i | 0.413160 | + | 0.910658i | \(0.364425\pi\) |
−0.995233 | + | 0.0975217i | \(0.968908\pi\) | |||||||
\(194\) | −2.15443e11 | − | 3.73159e11i | −0.0562890 | − | 0.0974955i | ||||
\(195\) | 9.18418e11 | 0.233265 | ||||||||
\(196\) | 2.37228e12 | − | 2.96605e12i | 0.585811 | − | 0.732437i | ||||
\(197\) | 4.15009e12 | 0.996536 | 0.498268 | − | 0.867023i | \(-0.333970\pi\) | ||||
0.498268 | + | 0.867023i | \(0.333970\pi\) | |||||||
\(198\) | 6.25264e11 | + | 1.08299e12i | 0.146017 | + | 0.252910i | ||||
\(199\) | 3.10359e12 | − | 5.37557e12i | 0.704973 | − | 1.22105i | −0.261729 | − | 0.965141i | \(-0.584293\pi\) |
0.966701 | − | 0.255907i | \(-0.0823741\pi\) | |||||||
\(200\) | −5.66269e11 | + | 9.80806e11i | −0.125129 | + | 0.216730i | ||||
\(201\) | 1.13082e11 | + | 1.95864e11i | 0.0243118 | + | 0.0421092i | ||||
\(202\) | 1.98519e12 | 0.415306 | ||||||||
\(203\) | −6.90822e12 | − | 5.22657e11i | −1.40649 | − | 0.106412i | ||||
\(204\) | 9.59642e10 | 0.0190171 | ||||||||
\(205\) | 3.26630e12 | + | 5.65740e12i | 0.630100 | + | 1.09137i | ||||
\(206\) | −3.74349e11 | + | 6.48392e11i | −0.0703084 | + | 0.121778i | ||||
\(207\) | −5.78857e9 | + | 1.00261e10i | −0.00105861 | + | 0.00183356i | ||||
\(208\) | 3.96085e12 | + | 6.86039e12i | 0.705407 | + | 1.22180i | ||||
\(209\) | 4.39085e12 | 0.761631 | ||||||||
\(210\) | −8.63769e10 | − | 1.79691e11i | −0.0145946 | − | 0.0303613i | ||||
\(211\) | 2.37884e11 | 0.0391571 | 0.0195786 | − | 0.999808i | \(-0.493768\pi\) | ||||
0.0195786 | + | 0.999808i | \(0.493768\pi\) | |||||||
\(212\) | −2.62938e12 | − | 4.55423e12i | −0.421703 | − | 0.730411i | ||||
\(213\) | 6.68454e10 | − | 1.15780e11i | 0.0104468 | − | 0.0180944i | ||||
\(214\) | −1.37316e12 | + | 2.37838e12i | −0.209144 | + | 0.362248i | ||||
\(215\) | −4.74136e12 | − | 8.21228e12i | −0.703869 | − | 1.21914i | ||||
\(216\) | −7.27837e11 | −0.105327 | ||||||||
\(217\) | −2.37190e12 | + | 3.47362e12i | −0.334633 | + | 0.490065i | ||||
\(218\) | 1.60983e12 | 0.221447 | ||||||||
\(219\) | −3.94416e11 | − | 6.83148e11i | −0.0529068 | − | 0.0916373i | ||||
\(220\) | 5.23870e12 | − | 9.07369e12i | 0.685328 | − | 1.18702i | ||||
\(221\) | −1.24986e12 | + | 2.16483e12i | −0.159480 | + | 0.276227i | ||||
\(222\) | 9.27179e10 | + | 1.60592e11i | 0.0115404 | + | 0.0199886i | ||||
\(223\) | −9.70164e12 | −1.17806 | −0.589032 | − | 0.808110i | \(-0.700491\pi\) | ||||
−0.589032 | + | 0.808110i | \(0.700491\pi\) | |||||||
\(224\) | 3.26843e12 | − | 4.78657e12i | 0.387236 | − | 0.567101i | ||||
\(225\) | −4.42818e12 | −0.511943 | ||||||||
\(226\) | −4.89338e11 | − | 8.47559e11i | −0.0552094 | − | 0.0956254i | ||||
\(227\) | −6.93312e12 | + | 1.20085e13i | −0.763460 | + | 1.32235i | 0.177596 | + | 0.984103i | \(0.443168\pi\) |
−0.941057 | + | 0.338249i | \(0.890166\pi\) | |||||||
\(228\) | −3.07338e11 | + | 5.32325e11i | −0.0330350 | + | 0.0572183i | ||||
\(229\) | −3.32998e11 | − | 5.76769e11i | −0.0349419 | − | 0.0605211i | 0.848026 | − | 0.529955i | \(-0.177791\pi\) |
−0.882968 | + | 0.469434i | \(0.844458\pi\) | |||||||
\(230\) | −6.42341e9 | −0.000658056 | ||||||||
\(231\) | 5.63550e11 | + | 1.17236e12i | 0.0563724 | + | 0.117272i | ||||
\(232\) | −6.97379e12 | −0.681216 | ||||||||
\(233\) | 2.83022e12 | + | 4.90208e12i | 0.269999 | + | 0.467652i | 0.968861 | − | 0.247604i | \(-0.0796433\pi\) |
−0.698862 | + | 0.715256i | \(0.746310\pi\) | |||||||
\(234\) | 2.28005e12 | − | 3.94916e12i | 0.212450 | − | 0.367974i | ||||
\(235\) | 9.71213e12 | − | 1.68219e13i | 0.883977 | − | 1.53109i | ||||
\(236\) | 2.32400e12 | + | 4.02529e12i | 0.206643 | + | 0.357916i | ||||
\(237\) | −1.60143e12 | −0.139121 | ||||||||
\(238\) | 5.41104e11 | + | 4.09385e10i | 0.0459312 | + | 0.00347503i | ||||
\(239\) | 1.69262e13 | 1.40401 | 0.702007 | − | 0.712170i | \(-0.252288\pi\) | ||||
0.702007 | + | 0.712170i | \(0.252288\pi\) | |||||||
\(240\) | 6.81584e11 | + | 1.18054e12i | 0.0552532 | + | 0.0957013i | ||||
\(241\) | −8.62786e12 | + | 1.49439e13i | −0.683611 | + | 1.18405i | 0.290260 | + | 0.956948i | \(0.406258\pi\) |
−0.973871 | + | 0.227101i | \(0.927075\pi\) | |||||||
\(242\) | 6.54491e11 | − | 1.13361e12i | 0.0506896 | − | 0.0877970i | ||||
\(243\) | −2.13867e12 | − | 3.70429e12i | −0.161923 | − | 0.280459i | ||||
\(244\) | 4.35602e12 | 0.322437 | ||||||||
\(245\) | 6.19713e12 | + | 1.58565e13i | 0.448515 | + | 1.14761i | ||||
\(246\) | −3.95114e11 | −0.0279627 | ||||||||
\(247\) | −8.00570e12 | − | 1.38663e13i | −0.554072 | − | 0.959681i | ||||
\(248\) | −2.11700e12 | + | 3.66675e12i | −0.143297 | + | 0.248197i | ||||
\(249\) | 4.57160e11 | − | 7.91824e11i | 0.0302672 | − | 0.0524243i | ||||
\(250\) | 1.14226e12 | + | 1.97845e12i | 0.0739768 | + | 0.128132i | ||||
\(251\) | 2.08992e13 | 1.32411 | 0.662056 | − | 0.749454i | \(-0.269684\pi\) | ||||
0.662056 | + | 0.749454i | \(0.269684\pi\) | |||||||
\(252\) | 1.49059e13 | + | 1.12774e12i | 0.923963 | + | 0.0699045i | ||||
\(253\) | 4.19083e10 | 0.00254178 | ||||||||
\(254\) | −4.92058e11 | − | 8.52269e11i | −0.0292032 | − | 0.0505814i | ||||
\(255\) | −2.15077e11 | + | 3.72524e11i | −0.0124917 | + | 0.0216363i | ||||
\(256\) | −3.82725e12 | + | 6.62900e12i | −0.217554 | + | 0.376815i | ||||
\(257\) | −3.88094e12 | − | 6.72199e12i | −0.215926 | − | 0.373995i | 0.737633 | − | 0.675202i | \(-0.235944\pi\) |
−0.953559 | + | 0.301207i | \(0.902610\pi\) | |||||||
\(258\) | 5.73547e11 | 0.0312364 | ||||||||
\(259\) | −6.86009e12 | − | 1.42712e13i | −0.365747 | − | 0.760870i | ||||
\(260\) | −3.82062e13 | −1.99425 | ||||||||
\(261\) | −1.36336e13 | − | 2.36142e13i | −0.696769 | − | 1.20684i | ||||
\(262\) | −3.54680e12 | + | 6.14325e12i | −0.177493 | + | 0.307426i | ||||
\(263\) | −9.79640e12 | + | 1.69679e13i | −0.480076 | + | 0.831516i | −0.999739 | − | 0.0228554i | \(-0.992724\pi\) |
0.519663 | + | 0.854371i | \(0.326058\pi\) | |||||||
\(264\) | 6.54691e11 | + | 1.13396e12i | 0.0314206 | + | 0.0544221i | ||||
\(265\) | 2.35721e13 | 1.10802 | ||||||||
\(266\) | −1.96005e12 | + | 2.87046e12i | −0.0902438 | + | 0.132161i | ||||
\(267\) | 4.46017e11 | 0.0201159 | ||||||||
\(268\) | −4.70422e12 | − | 8.14795e12i | −0.207848 | − | 0.360004i | ||||
\(269\) | −7.89726e12 | + | 1.36785e13i | −0.341853 | + | 0.592106i | −0.984777 | − | 0.173824i | \(-0.944388\pi\) |
0.642924 | + | 0.765930i | \(0.277721\pi\) | |||||||
\(270\) | 7.89481e11 | − | 1.36742e12i | 0.0334843 | − | 0.0579965i | ||||
\(271\) | −3.89022e12 | − | 6.73805e12i | −0.161675 | − | 0.280029i | 0.773795 | − | 0.633437i | \(-0.218356\pi\) |
−0.935469 | + | 0.353407i | \(0.885023\pi\) | |||||||
\(272\) | −3.71024e12 | −0.151103 | ||||||||
\(273\) | 2.67481e12 | − | 3.91721e12i | 0.106757 | − | 0.156345i | ||||
\(274\) | 2.92369e11 | 0.0114368 | ||||||||
\(275\) | 8.01483e12 | + | 1.38821e13i | 0.307301 | + | 0.532262i | ||||
\(276\) | −2.93337e9 | + | 5.08075e9i | −0.000110247 | + | 0.000190954i | ||||
\(277\) | 1.88137e13 | − | 3.25862e13i | 0.693162 | − | 1.20059i | −0.277634 | − | 0.960687i | \(-0.589550\pi\) |
0.970796 | − | 0.239905i | \(-0.0771163\pi\) | |||||||
\(278\) | 1.01101e12 | + | 1.75113e12i | 0.0365183 | + | 0.0632515i | ||||
\(279\) | −1.65548e13 | −0.586274 | ||||||||
\(280\) | 7.42451e12 | + | 1.54453e13i | 0.257809 | + | 0.536325i | ||||
\(281\) | 9.04822e12 | 0.308091 | 0.154045 | − | 0.988064i | \(-0.450770\pi\) | ||||
0.154045 | + | 0.988064i | \(0.450770\pi\) | |||||||
\(282\) | 5.87422e11 | + | 1.01744e12i | 0.0196146 | + | 0.0339735i | ||||
\(283\) | 9.62939e11 | − | 1.66786e12i | 0.0315336 | − | 0.0546178i | −0.849828 | − | 0.527060i | \(-0.823294\pi\) |
0.881362 | + | 0.472442i | \(0.156628\pi\) | |||||||
\(284\) | −2.78077e12 | + | 4.81643e12i | −0.0893128 | + | 0.154694i | ||||
\(285\) | −1.37762e12 | − | 2.38611e12i | −0.0433994 | − | 0.0751699i | ||||
\(286\) | −1.65072e13 | −0.510105 | ||||||||
\(287\) | 3.36426e13 | + | 2.54531e12i | 1.01986 | + | 0.0771595i | ||||
\(288\) | 2.28122e13 | 0.678434 | ||||||||
\(289\) | 1.65506e13 | + | 2.86664e13i | 0.482919 | + | 0.836441i | ||||
\(290\) | 7.56443e12 | − | 1.31020e13i | 0.216564 | − | 0.375101i | ||||
\(291\) | 8.82021e11 | − | 1.52771e12i | 0.0247781 | − | 0.0429169i | ||||
\(292\) | 1.64077e13 | + | 2.84189e13i | 0.452315 | + | 0.783433i | ||||
\(293\) | 8.43226e12 | 0.228125 | 0.114062 | − | 0.993474i | \(-0.463614\pi\) | ||||
0.114062 | + | 0.993474i | \(0.463614\pi\) | |||||||
\(294\) | −1.01798e12 | − | 1.54922e11i | −0.0270289 | − | 0.00411341i | ||||
\(295\) | −2.08344e13 | −0.542950 | ||||||||
\(296\) | −7.96955e12 | − | 1.38037e13i | −0.203859 | − | 0.353094i | ||||
\(297\) | −5.15082e12 | + | 8.92148e12i | −0.129335 | + | 0.224015i | ||||
\(298\) | 3.53479e12 | − | 6.12243e12i | 0.0871312 | − | 0.150916i | ||||
\(299\) | −7.64101e10 | − | 1.32346e11i | −0.00184910 | − | 0.00320273i | ||||
\(300\) | −2.24399e12 | −0.0533156 | ||||||||
\(301\) | −4.88356e13 | − | 3.69477e12i | −1.13925 | − | 0.0861929i | ||||
\(302\) | 3.28279e12 | 0.0751978 | ||||||||
\(303\) | 4.06366e12 | + | 7.03846e12i | 0.0914076 | + | 0.158323i | ||||
\(304\) | 1.18825e13 | − | 2.05811e13i | 0.262484 | − | 0.454636i | ||||
\(305\) | −9.76279e12 | + | 1.69096e13i | −0.211799 | + | 0.366847i | ||||
\(306\) | 1.06789e12 | + | 1.84964e12i | 0.0227541 | + | 0.0394112i | ||||
\(307\) | −3.63480e13 | −0.760710 | −0.380355 | − | 0.924841i | \(-0.624198\pi\) | ||||
−0.380355 | + | 0.924841i | \(0.624198\pi\) | |||||||
\(308\) | −2.34436e13 | − | 4.87702e13i | −0.481944 | − | 1.00260i | ||||
\(309\) | −3.06516e12 | −0.0618986 | ||||||||
\(310\) | −4.59260e12 | − | 7.95461e12i | −0.0911106 | − | 0.157808i | ||||
\(311\) | 2.79944e13 | − | 4.84877e13i | 0.545619 | − | 0.945039i | −0.452949 | − | 0.891536i | \(-0.649628\pi\) |
0.998568 | − | 0.0535027i | \(-0.0170386\pi\) | |||||||
\(312\) | 2.38735e12 | − | 4.13502e12i | 0.0457158 | − | 0.0791821i | ||||
\(313\) | −3.66538e12 | − | 6.34862e12i | −0.0689643 | − | 0.119450i | 0.829481 | − | 0.558534i | \(-0.188636\pi\) |
−0.898446 | + | 0.439085i | \(0.855303\pi\) | |||||||
\(314\) | −1.23442e13 | −0.228218 | ||||||||
\(315\) | −3.77851e13 | + | 5.53357e13i | −0.686456 | + | 1.00530i | ||||
\(316\) | 6.66196e13 | 1.18939 | ||||||||
\(317\) | −7.22678e12 | − | 1.25172e13i | −0.126800 | − | 0.219624i | 0.795635 | − | 0.605776i | \(-0.207137\pi\) |
−0.922435 | + | 0.386152i | \(0.873804\pi\) | |||||||
\(318\) | −7.12860e11 | + | 1.23471e12i | −0.0122929 | + | 0.0212920i | ||||
\(319\) | −4.93527e13 | + | 8.54814e13i | −0.836493 | + | 1.44885i | ||||
\(320\) | −2.39030e13 | − | 4.14012e13i | −0.398224 | − | 0.689745i | ||||
\(321\) | −1.12434e13 | −0.184128 | ||||||||
\(322\) | −1.87076e10 | + | 2.73970e10i | −0.000301169 | + | 0.000441058i | ||||
\(323\) | 7.49916e12 | 0.118686 | ||||||||
\(324\) | 2.90546e13 | + | 5.03240e13i | 0.452082 | + | 0.783029i | ||||
\(325\) | 2.92264e13 | − | 5.06216e13i | 0.447112 | − | 0.774421i | ||||
\(326\) | 2.77546e11 | − | 4.80723e11i | 0.00417482 | − | 0.00723100i | ||||
\(327\) | 3.29530e12 | + | 5.70763e12i | 0.0487397 | + | 0.0844196i | ||||
\(328\) | 3.39619e13 | 0.493953 | ||||||||
\(329\) | −4.34627e13 | − | 9.04161e13i | −0.621640 | − | 1.29321i | ||||
\(330\) | −2.84056e12 | −0.0399555 | ||||||||
\(331\) | 5.26269e13 | + | 9.11525e13i | 0.728038 | + | 1.26100i | 0.957711 | + | 0.287731i | \(0.0929009\pi\) |
−0.229673 | + | 0.973268i | \(0.573766\pi\) | |||||||
\(332\) | −1.90178e13 | + | 3.29399e13i | −0.258763 | + | 0.448190i | ||||
\(333\) | 3.11607e13 | − | 5.39718e13i | 0.417026 | − | 0.722310i | ||||
\(334\) | 1.02353e13 | + | 1.77280e13i | 0.134739 | + | 0.233375i | ||||
\(335\) | 4.21728e13 | 0.546117 | ||||||||
\(336\) | 7.02025e12 | + | 5.31133e11i | 0.0894306 | + | 0.00676608i | ||||
\(337\) | 1.54033e13 | 0.193041 | 0.0965203 | − | 0.995331i | \(-0.469229\pi\) | ||||
0.0965203 | + | 0.995331i | \(0.469229\pi\) | |||||||
\(338\) | 1.99907e13 | + | 3.46250e13i | 0.246483 | + | 0.426921i | ||||
\(339\) | 2.00334e12 | − | 3.46989e12i | 0.0243028 | − | 0.0420937i | ||||
\(340\) | 8.94719e12 | − | 1.54970e13i | 0.106795 | − | 0.184975i | ||||
\(341\) | 2.99635e13 | + | 5.18984e13i | 0.351920 | + | 0.609543i | ||||
\(342\) | −1.36802e13 | −0.158106 | ||||||||
\(343\) | 8.56795e13 | + | 1.97489e13i | 0.974449 | + | 0.224608i | ||||
\(344\) | −4.92991e13 | −0.551782 | ||||||||
\(345\) | −1.31487e10 | − | 2.27742e10i | −0.000144836 | − | 0.000250863i | ||||
\(346\) | 5.73099e12 | − | 9.92637e12i | 0.0621314 | − | 0.107615i | ||||
\(347\) | −1.80669e13 | + | 3.12928e13i | −0.192785 | + | 0.333913i | −0.946172 | − | 0.323664i | \(-0.895085\pi\) |
0.753387 | + | 0.657577i | \(0.228418\pi\) | |||||||
\(348\) | −6.90888e12 | − | 1.19665e13i | −0.0725641 | − | 0.125685i | ||||
\(349\) | −1.81731e14 | −1.87884 | −0.939419 | − | 0.342772i | \(-0.888634\pi\) | ||||
−0.939419 | + | 0.342772i | \(0.888634\pi\) | |||||||
\(350\) | −1.26530e13 | − | 9.57291e11i | −0.128771 | − | 0.00974248i | ||||
\(351\) | 3.75653e13 | 0.376355 | ||||||||
\(352\) | −4.12891e13 | − | 7.15148e13i | −0.407240 | − | 0.705361i | ||||
\(353\) | 5.53353e13 | − | 9.58436e13i | 0.537330 | − | 0.930684i | −0.461716 | − | 0.887028i | \(-0.652766\pi\) |
0.999047 | − | 0.0436559i | \(-0.0139005\pi\) | |||||||
\(354\) | 6.30067e11 | − | 1.09131e12i | 0.00602378 | − | 0.0104335i | ||||
\(355\) | −1.24646e13 | − | 2.15893e13i | −0.117334 | − | 0.203228i | ||||
\(356\) | −1.85543e13 | −0.171977 | ||||||||
\(357\) | 9.62489e11 | + | 2.00228e12i | 0.00878457 | + | 0.0182747i | ||||
\(358\) | 4.91378e13 | 0.441630 | ||||||||
\(359\) | −3.10557e13 | − | 5.37901e13i | −0.274867 | − | 0.476083i | 0.695235 | − | 0.718783i | \(-0.255300\pi\) |
−0.970102 | + | 0.242699i | \(0.921967\pi\) | |||||||
\(360\) | −3.37244e13 | + | 5.84124e13i | −0.293955 | + | 0.509145i | ||||
\(361\) | 3.42281e13 | − | 5.92848e13i | 0.293828 | − | 0.508925i | ||||
\(362\) | −2.65378e13 | − | 4.59648e13i | −0.224372 | − | 0.388623i | ||||
\(363\) | 5.35895e12 | 0.0446265 | ||||||||
\(364\) | −1.11272e14 | + | 1.62956e14i | −0.912700 | + | 1.33663i | ||||
\(365\) | −1.47093e14 | −1.18845 | ||||||||
\(366\) | −5.90486e11 | − | 1.02275e12i | −0.00469963 | − | 0.00814000i | ||||
\(367\) | −5.80698e13 | + | 1.00580e14i | −0.455289 | + | 0.788583i | −0.998705 | − | 0.0508806i | \(-0.983797\pi\) |
0.543416 | + | 0.839463i | \(0.317131\pi\) | |||||||
\(368\) | 1.13412e11 | − | 1.96436e11i | 0.000875984 | − | 0.00151725i | ||||
\(369\) | 6.63949e13 | + | 1.14999e14i | 0.505231 | + | 0.875085i | ||||
\(370\) | 3.45781e13 | 0.259234 | ||||||||
\(371\) | 6.86516e13 | − | 1.00539e14i | 0.507100 | − | 0.742640i | ||||
\(372\) | −8.38919e12 | −0.0610567 | ||||||||
\(373\) | −9.28826e13 | − | 1.60877e14i | −0.666094 | − | 1.15371i | −0.978987 | − | 0.203921i | \(-0.934631\pi\) |
0.312893 | − | 0.949788i | \(-0.398702\pi\) | |||||||
\(374\) | 3.86568e12 | − | 6.69555e12i | 0.0273169 | − | 0.0473143i | ||||
\(375\) | −4.67640e12 | + | 8.09976e12i | −0.0325641 | + | 0.0564027i | ||||
\(376\) | −5.04917e13 | − | 8.74543e13i | −0.346487 | − | 0.600133i | ||||
\(377\) | 3.59933e14 | 2.43413 | ||||||||
\(378\) | −3.53300e12 | − | 7.34976e12i | −0.0235472 | − | 0.0489856i | ||||
\(379\) | 2.67838e13 | 0.175937 | 0.0879683 | − | 0.996123i | \(-0.471963\pi\) | ||||
0.0879683 | + | 0.996123i | \(0.471963\pi\) | |||||||
\(380\) | 5.73091e13 | + | 9.92622e13i | 0.371034 | + | 0.642649i | ||||
\(381\) | 2.01447e12 | − | 3.48917e12i | 0.0128551 | − | 0.0222656i | ||||
\(382\) | −1.95660e13 | + | 3.38894e13i | −0.123071 | + | 0.213165i | ||||
\(383\) | 4.25070e13 | + | 7.36243e13i | 0.263553 | + | 0.456486i | 0.967183 | − | 0.254079i | \(-0.0817724\pi\) |
−0.703631 | + | 0.710566i | \(0.748439\pi\) | |||||||
\(384\) | 1.52171e13 | 0.0930060 | ||||||||
\(385\) | 2.41864e14 | + | 1.82988e13i | 1.45726 | + | 0.110252i | ||||
\(386\) | −4.88445e13 | −0.290125 | ||||||||
\(387\) | −9.63789e13 | − | 1.66933e14i | −0.564380 | − | 0.977535i | ||||
\(388\) | −3.66921e13 | + | 6.35525e13i | −0.211835 | + | 0.366909i | ||||
\(389\) | −8.29106e13 | + | 1.43605e14i | −0.471941 | + | 0.817425i | −0.999485 | − | 0.0321025i | \(-0.989780\pi\) |
0.527544 | + | 0.849528i | \(0.323113\pi\) | |||||||
\(390\) | 5.17909e12 | + | 8.97045e12i | 0.0290669 | + | 0.0503453i | ||||
\(391\) | 7.15754e10 | 0.000396088 | ||||||||
\(392\) | 8.75002e13 | + | 1.33163e13i | 0.477459 | + | 0.0726624i | ||||
\(393\) | −2.90411e13 | −0.156262 | ||||||||
\(394\) | 2.34029e13 | + | 4.05351e13i | 0.124177 | + | 0.215081i | ||||
\(395\) | −1.49309e14 | + | 2.58611e14i | −0.781272 | + | 1.35320i | ||||
\(396\) | 1.06488e14 | − | 1.84443e14i | 0.549514 | − | 0.951786i | ||||
\(397\) | −1.21128e13 | − | 2.09800e13i | −0.0616449 | − | 0.106772i | 0.833556 | − | 0.552435i | \(-0.186301\pi\) |
−0.895201 | + | 0.445663i | \(0.852968\pi\) | |||||||
\(398\) | 7.00064e13 | 0.351383 | ||||||||
\(399\) | −1.41894e13 | − | 1.07353e12i | −0.0702445 | − | 0.00531451i | ||||
\(400\) | 8.67588e13 | 0.423627 | ||||||||
\(401\) | 4.89119e13 | + | 8.47178e13i | 0.235570 | + | 0.408019i | 0.959438 | − | 0.281919i | \(-0.0909710\pi\) |
−0.723868 | + | 0.689938i | \(0.757638\pi\) | |||||||
\(402\) | −1.27538e12 | + | 2.20901e12i | −0.00605891 | + | 0.0104943i | ||||
\(403\) | 1.09263e14 | − | 1.89249e14i | 0.512030 | − | 0.886862i | ||||
\(404\) | −1.69048e14 | − | 2.92800e14i | −0.781470 | − | 1.35355i | ||||
\(405\) | −2.60471e14 | −1.18784 | ||||||||
\(406\) | −3.38515e13 | − | 7.04219e13i | −0.152295 | − | 0.316821i | ||||
\(407\) | −2.25598e14 | −1.00131 | ||||||||
\(408\) | 1.11815e12 | + | 1.93669e12i | 0.00489631 | + | 0.00848065i | ||||
\(409\) | −2.17746e13 | + | 3.77147e13i | −0.0940745 | + | 0.162942i | −0.909222 | − | 0.416312i | \(-0.863323\pi\) |
0.815147 | + | 0.579253i | \(0.196656\pi\) | |||||||
\(410\) | −3.68383e13 | + | 6.38058e13i | −0.157032 | + | 0.271987i | ||||
\(411\) | 5.98477e11 | + | 1.03659e12i | 0.00251720 | + | 0.00435991i | ||||
\(412\) | 1.27510e14 | 0.529189 | ||||||||
\(413\) | −6.06783e13 | + | 8.88624e13i | −0.248489 | + | 0.363909i | ||||
\(414\) | −1.30570e11 | −0.000527646 | ||||||||
\(415\) | −8.52463e13 | − | 1.47651e14i | −0.339947 | − | 0.588805i | ||||
\(416\) | −1.50562e14 | + | 2.60781e14i | −0.592519 | + | 1.02627i | ||||
\(417\) | −4.13907e12 | + | 7.16908e12i | −0.0160751 | + | 0.0278429i | ||||
\(418\) | 2.47607e13 | + | 4.28867e13i | 0.0949058 | + | 0.164382i | ||||
\(419\) | 3.80240e13 | 0.143840 | 0.0719201 | − | 0.997410i | \(-0.477087\pi\) | ||||
0.0719201 | + | 0.997410i | \(0.477087\pi\) | |||||||
\(420\) | −1.91477e13 | + | 2.80415e13i | −0.0714900 | + | 0.104696i | ||||
\(421\) | −1.84101e14 | −0.678428 | −0.339214 | − | 0.940709i | \(-0.610161\pi\) | ||||
−0.339214 | + | 0.940709i | \(0.610161\pi\) | |||||||
\(422\) | 1.34146e12 | + | 2.32348e12i | 0.00487932 | + | 0.00845123i | ||||
\(423\) | 1.97421e14 | − | 3.41943e14i | 0.708796 | − | 1.22767i | ||||
\(424\) | 6.12737e13 | − | 1.06129e14i | 0.217151 | − | 0.376117i | ||||
\(425\) | 1.36886e13 | + | 2.37093e13i | 0.0478871 | + | 0.0829429i | ||||
\(426\) | 1.50780e12 | 0.00520705 | ||||||||
\(427\) | 4.36894e13 | + | 9.08878e13i | 0.148944 | + | 0.309850i | ||||
\(428\) | 4.67724e14 | 1.57416 | ||||||||
\(429\) | −3.37900e13 | − | 5.85260e13i | −0.112273 | − | 0.194462i | ||||
\(430\) | 5.34745e13 | − | 9.26205e13i | 0.175416 | − | 0.303830i | ||||
\(431\) | −1.10735e14 | + | 1.91798e14i | −0.358640 | + | 0.621182i | −0.987734 | − | 0.156147i | \(-0.950093\pi\) |
0.629094 | + | 0.777329i | \(0.283426\pi\) | |||||||
\(432\) | 2.78782e13 | + | 4.82865e13i | 0.0891465 | + | 0.154406i | ||||
\(433\) | −2.51635e14 | −0.794489 | −0.397244 | − | 0.917713i | \(-0.630033\pi\) | ||||
−0.397244 | + | 0.917713i | \(0.630033\pi\) | |||||||
\(434\) | −4.73033e13 | − | 3.57884e12i | −0.147468 | − | 0.0111570i | ||||
\(435\) | 6.19373e13 | 0.190661 | ||||||||
\(436\) | −1.37085e14 | − | 2.37437e14i | −0.416690 | − | 0.721728i | ||||
\(437\) | −2.29230e11 | + | 3.97037e11i | −0.000688054 | + | 0.00119174i | ||||
\(438\) | 4.44833e12 | − | 7.70474e12i | 0.0131853 | − | 0.0228376i | ||||
\(439\) | 2.46979e14 | + | 4.27780e14i | 0.722944 | + | 1.25218i | 0.959815 | + | 0.280635i | \(0.0905450\pi\) |
−0.236870 | + | 0.971541i | \(0.576122\pi\) | |||||||
\(440\) | 2.44159e14 | 0.705804 | ||||||||
\(441\) | 1.25971e14 | + | 3.22320e14i | 0.359631 | + | 0.920185i | ||||
\(442\) | −2.81927e13 | −0.0794902 | ||||||||
\(443\) | 2.32800e14 | + | 4.03222e14i | 0.648280 | + | 1.12285i | 0.983533 | + | 0.180726i | \(0.0578447\pi\) |
−0.335253 | + | 0.942128i | \(0.608822\pi\) | |||||||
\(444\) | 1.57907e13 | − | 2.73504e13i | 0.0434306 | − | 0.0752241i | ||||
\(445\) | 4.15843e13 | − | 7.20260e13i | 0.112966 | − | 0.195663i | ||||
\(446\) | −5.47090e13 | − | 9.47587e13i | −0.146797 | − | 0.254260i | ||||
\(447\) | 2.89427e13 | 0.0767092 | ||||||||
\(448\) | −2.46199e14 | − | 1.86267e13i | −0.644550 | − | 0.0487649i | ||||
\(449\) | 1.87523e14 | 0.484954 | 0.242477 | − | 0.970157i | \(-0.422040\pi\) | ||||
0.242477 | + | 0.970157i | \(0.422040\pi\) | |||||||
\(450\) | −2.49712e13 | − | 4.32513e13i | −0.0637925 | − | 0.110492i | ||||
\(451\) | 2.40344e14 | − | 4.16289e14i | 0.606545 | − | 1.05057i | ||||
\(452\) | −8.33389e13 | + | 1.44347e14i | −0.207772 | + | 0.359871i | ||||
\(453\) | 6.71985e12 | + | 1.16391e13i | 0.0165508 | + | 0.0286668i | ||||
\(454\) | −1.56387e14 | −0.380535 | ||||||||
\(455\) | −3.83195e14 | − | 7.97167e14i | −0.921207 | − | 1.91640i | ||||
\(456\) | −1.43241e13 | −0.0340220 | ||||||||
\(457\) | 2.08718e14 | + | 3.61509e14i | 0.489801 | + | 0.848361i | 0.999931 | − | 0.0117368i | \(-0.00373602\pi\) |
−0.510130 | + | 0.860097i | \(0.670403\pi\) | |||||||
\(458\) | 3.75565e12 | − | 6.50497e12i | 0.00870813 | − | 0.0150829i | ||||
\(459\) | −8.79710e12 | + | 1.52370e13i | −0.0201544 | + | 0.0349084i | ||||
\(460\) | 5.46984e11 | + | 9.47404e11i | 0.00123825 | + | 0.00214470i | ||||
\(461\) | 1.37404e14 | 0.307358 | 0.153679 | − | 0.988121i | \(-0.450888\pi\) | ||||
0.153679 | + | 0.988121i | \(0.450888\pi\) | |||||||
\(462\) | −8.27286e12 | + | 1.21155e13i | −0.0182863 | + | 0.0267799i | ||||
\(463\) | −5.53139e14 | −1.20820 | −0.604100 | − | 0.796908i | \(-0.706467\pi\) | ||||
−0.604100 | + | 0.796908i | \(0.706467\pi\) | |||||||
\(464\) | 2.67116e14 | + | 4.62658e14i | 0.576568 | + | 0.998646i | ||||
\(465\) | 1.88020e13 | − | 3.25660e13i | 0.0401063 | − | 0.0694662i | ||||
\(466\) | −3.19200e13 | + | 5.52871e13i | −0.0672885 | + | 0.116547i | ||||
\(467\) | −4.56142e14 | − | 7.90062e14i | −0.950293 | − | 1.64596i | −0.744790 | − | 0.667299i | \(-0.767450\pi\) |
−0.205503 | − | 0.978657i | \(-0.565883\pi\) | |||||||
\(468\) | −7.76627e14 | −1.59904 | ||||||||
\(469\) | 1.22824e14 | − | 1.79874e14i | 0.249939 | − | 0.366031i | ||||
\(470\) | 2.19072e14 | 0.440605 | ||||||||
\(471\) | −2.52685e13 | − | 4.37663e13i | −0.0502302 | − | 0.0870012i | ||||
\(472\) | −5.41573e13 | + | 9.38032e13i | −0.106408 | + | 0.184305i | ||||
\(473\) | −3.48884e14 | + | 6.04285e14i | −0.677556 | + | 1.17356i | ||||
\(474\) | −9.03072e12 | − | 1.56417e13i | −0.0173357 | − | 0.0300263i | ||||
\(475\) | −1.75358e14 | −0.332744 | ||||||||
\(476\) | −4.00395e13 | − | 8.32949e13i | −0.0751018 | − | 0.156236i | ||||
\(477\) | 4.79156e14 | 0.888436 | ||||||||
\(478\) | 9.54494e13 | + | 1.65323e14i | 0.174952 | + | 0.303026i | ||||
\(479\) | 3.58242e14 | − | 6.20493e14i | 0.649128 | − | 1.12432i | −0.334203 | − | 0.942501i | \(-0.608467\pi\) |
0.983331 | − | 0.181822i | \(-0.0581996\pi\) | |||||||
\(480\) | −2.59088e13 | + | 4.48753e13i | −0.0464109 | + | 0.0803860i | ||||
\(481\) | 4.11326e14 | + | 7.12437e14i | 0.728431 | + | 1.26168i | ||||
\(482\) | −1.94615e14 | −0.340736 | ||||||||
\(483\) | −1.35430e11 | − | 1.02463e10i | −0.000234426 | − | 1.77360e-5i | ||||
\(484\) | −2.22932e14 | −0.381525 | ||||||||
\(485\) | −1.64470e14 | − | 2.84870e14i | −0.278296 | − | 0.482023i | ||||
\(486\) | 2.41205e13 | − | 4.17780e13i | 0.0403541 | − | 0.0698953i | ||||
\(487\) | 3.37017e14 | − | 5.83731e14i | 0.557497 | − | 0.965614i | −0.440207 | − | 0.897896i | \(-0.645095\pi\) |
0.997705 | − | 0.0677174i | \(-0.0215716\pi\) | |||||||
\(488\) | 5.07551e13 | + | 8.79104e13i | 0.0830177 | + | 0.143791i | ||||
\(489\) | 2.27253e12 | 0.00367546 | ||||||||
\(490\) | −1.19929e14 | + | 1.49947e14i | −0.191799 | + | 0.239805i | ||||
\(491\) | −1.58590e14 | −0.250800 | −0.125400 | − | 0.992106i | \(-0.540021\pi\) | ||||
−0.125400 | + | 0.992106i | \(0.540021\pi\) | |||||||
\(492\) | 3.36458e13 | + | 5.82762e13i | 0.0526166 | + | 0.0911346i | ||||
\(493\) | −8.42897e13 | + | 1.45994e14i | −0.130352 | + | 0.225776i | ||||
\(494\) | 9.02906e13 | − | 1.56388e14i | 0.138084 | − | 0.239169i | ||||
\(495\) | 4.77327e14 | + | 8.26755e14i | 0.721918 | + | 1.25040i | ||||
\(496\) | 3.24349e14 | 0.485135 | ||||||||
\(497\) | −1.28384e14 | − | 9.71321e12i | −0.189912 | − | 0.0143682i | ||||
\(498\) | 1.03120e13 | 0.0150862 | ||||||||
\(499\) | 1.89499e13 | + | 3.28222e13i | 0.0274192 | + | 0.0474914i | 0.879409 | − | 0.476066i | \(-0.157938\pi\) |
−0.851990 | + | 0.523558i | \(0.824604\pi\) | |||||||
\(500\) | 1.94538e14 | − | 3.36950e14i | 0.278400 | − | 0.482203i | ||||
\(501\) | −4.19030e13 | + | 7.25781e13i | −0.0593113 | + | 0.102730i | ||||
\(502\) | 1.17854e14 | + | 2.04129e14i | 0.164996 | + | 0.285781i | ||||
\(503\) | 7.84333e14 | 1.08612 | 0.543058 | − | 0.839695i | \(-0.317266\pi\) | ||||
0.543058 | + | 0.839695i | \(0.317266\pi\) | |||||||
\(504\) | 1.50920e14 | + | 3.13961e14i | 0.206718 | + | 0.430039i | ||||
\(505\) | 1.51549e15 | 2.05330 | ||||||||
\(506\) | 2.36327e11 | + | 4.09331e11i | 0.000316728 | + | 0.000548588i | ||||
\(507\) | −8.18417e13 | + | 1.41754e14i | −0.108500 | + | 0.187928i | ||||
\(508\) | −8.38021e13 | + | 1.45150e14i | −0.109902 | + | 0.190355i | ||||
\(509\) | −6.90848e14 | − | 1.19658e15i | −0.896261 | − | 1.55237i | −0.832236 | − | 0.554422i | \(-0.812939\pi\) |
−0.0640256 | − | 0.997948i | \(-0.520394\pi\) | |||||||
\(510\) | −4.85140e12 | −0.00622631 | ||||||||
\(511\) | −4.28394e14 | + | 6.27377e14i | −0.543912 | + | 0.796551i | ||||
\(512\) | −7.61283e14 | −0.956227 | ||||||||
\(513\) | −5.63477e13 | − | 9.75971e13i | −0.0700214 | − | 0.121281i | ||||
\(514\) | 4.37704e13 | − | 7.58126e13i | 0.0538126 | − | 0.0932061i | ||||
\(515\) | −2.85779e14 | + | 4.94984e14i | −0.347608 | + | 0.602076i | ||||
\(516\) | −4.88403e13 | − | 8.45938e13i | −0.0587766 | − | 0.101804i | ||||
\(517\) | −1.42930e15 | −1.70186 | ||||||||
\(518\) | 1.00705e14 | − | 1.47482e14i | 0.118642 | − | 0.173750i | ||||
\(519\) | 4.69251e13 | 0.0546997 | ||||||||
\(520\) | −4.45168e14 | − | 7.71054e14i | −0.513459 | − | 0.889337i | ||||
\(521\) | −2.63787e14 | + | 4.56892e14i | −0.301055 | + | 0.521442i | −0.976375 | − | 0.216082i | \(-0.930672\pi\) |
0.675320 | + | 0.737525i | \(0.264005\pi\) | |||||||
\(522\) | 1.53764e14 | − | 2.66327e14i | 0.173647 | − | 0.300765i | ||||
\(523\) | −2.32479e14 | − | 4.02666e14i | −0.259791 | − | 0.449972i | 0.706395 | − | 0.707818i | \(-0.250320\pi\) |
−0.966186 | + | 0.257847i | \(0.916987\pi\) | |||||||
\(524\) | 1.20811e15 | 1.33593 | ||||||||
\(525\) | −2.25065e13 | − | 4.68206e13i | −0.0246281 | − | 0.0512343i | ||||
\(526\) | −2.20973e14 | −0.239287 | ||||||||
\(527\) | 5.11748e13 | + | 8.86374e13i | 0.0548401 | + | 0.0949858i | ||||
\(528\) | 5.01530e13 | − | 8.68676e13i | 0.0531876 | − | 0.0921236i | ||||
\(529\) | 4.76403e14 | − | 8.25154e14i | 0.499998 | − | 0.866021i | ||||
\(530\) | 1.32927e14 | + | 2.30235e14i | 0.138068 | + | 0.239141i | ||||
\(531\) | −4.23506e14 | −0.435352 | ||||||||
\(532\) | 5.90278e14 | + | 4.46588e13i | 0.600541 | + | 0.0454353i | ||||
\(533\) | −1.75285e15 | −1.76500 | ||||||||
\(534\) | 2.51516e12 | + | 4.35638e12i | 0.00250662 | + | 0.00434159i | ||||
\(535\) | −1.04827e15 | + | 1.81566e15i | −1.03402 | + | 1.79097i | ||||
\(536\) | 1.09625e14 | − | 1.89875e14i | 0.107029 | − | 0.185380i | ||||
\(537\) | 1.00585e14 | + | 1.74218e14i | 0.0972014 | + | 0.168358i | ||||
\(538\) | −1.78135e14 | −0.170391 | ||||||||
\(539\) | 7.82453e14 | − | 9.78298e14i | 0.740833 | − | 0.926260i | ||||
\(540\) | −2.68912e14 | −0.252026 | ||||||||
\(541\) | −5.84214e13 | − | 1.01189e14i | −0.0541985 | − | 0.0938746i | 0.837653 | − | 0.546202i | \(-0.183927\pi\) |
−0.891852 | + | 0.452328i | \(0.850594\pi\) | |||||||
\(542\) | 4.38750e13 | − | 7.59937e13i | 0.0402922 | − | 0.0697881i | ||||
\(543\) | 1.08645e14 | − | 1.88179e14i | 0.0987670 | − | 0.171069i | ||||
\(544\) | −7.05178e13 | − | 1.22140e14i | −0.0634607 | − | 0.109917i | ||||
\(545\) | 1.22895e15 | 1.09484 | ||||||||
\(546\) | 5.33442e13 | + | 4.03588e12i | 0.0470465 | + | 0.00355941i | ||||
\(547\) | 6.32716e14 | 0.552432 | 0.276216 | − | 0.961096i | \(-0.410920\pi\) | ||||
0.276216 | + | 0.961096i | \(0.410920\pi\) | |||||||
\(548\) | −2.48966e13 | − | 4.31222e13i | −0.0215202 | − | 0.0372742i | ||||
\(549\) | −1.98451e14 | + | 3.43727e14i | −0.169826 | + | 0.294148i | ||||
\(550\) | −9.03936e13 | + | 1.56566e14i | −0.0765849 | + | 0.132649i | ||||
\(551\) | −5.39897e14 | − | 9.35129e14i | −0.452874 | − | 0.784400i | ||||
\(552\) | −1.36715e11 | −0.000113541 | ||||||||
\(553\) | 6.68172e14 | + | 1.39001e15i | 0.549414 | + | 1.14296i | ||||
\(554\) | 4.24372e14 | 0.345496 | ||||||||
\(555\) | 7.07810e13 | + | 1.22596e14i | 0.0570565 | + | 0.0988248i | ||||
\(556\) | 1.72185e14 | − | 2.98233e14i | 0.137431 | − | 0.238037i | ||||
\(557\) | −2.95620e14 | + | 5.12029e14i | −0.233631 | + | 0.404660i | −0.958874 | − | 0.283833i | \(-0.908394\pi\) |
0.725243 | + | 0.688493i | \(0.241727\pi\) | |||||||
\(558\) | −9.33549e13 | − | 1.61695e14i | −0.0730548 | − | 0.126535i | ||||
\(559\) | 2.54444e15 | 1.97164 | ||||||||
\(560\) | 7.40301e14 | − | 1.08416e15i | 0.568034 | − | 0.831877i | ||||
\(561\) | 3.16520e13 | 0.0240495 | ||||||||
\(562\) | 5.10242e13 | + | 8.83766e13i | 0.0383908 | + | 0.0664948i | ||||
\(563\) | −1.04958e15 | + | 1.81792e15i | −0.782019 | + | 1.35450i | 0.148744 | + | 0.988876i | \(0.452477\pi\) |
−0.930764 | + | 0.365622i | \(0.880856\pi\) | |||||||
\(564\) | 1.00044e14 | − | 1.73281e14i | 0.0738166 | − | 0.127854i | ||||
\(565\) | −3.73562e14 | − | 6.47028e14i | −0.272958 | − | 0.472777i | ||||
\(566\) | 2.17206e13 | 0.0157174 | ||||||||
\(567\) | −7.58597e14 | + | 1.11095e15i | −0.543631 | + | 0.796139i | ||||
\(568\) | −1.29603e14 | −0.0919812 | ||||||||
\(569\) | −4.78774e14 | − | 8.29261e14i | −0.336522 | − | 0.582873i | 0.647254 | − | 0.762274i | \(-0.275917\pi\) |
−0.983776 | + | 0.179402i | \(0.942584\pi\) | |||||||
\(570\) | 1.55372e13 | − | 2.69113e13i | 0.0108159 | − | 0.0187337i | ||||
\(571\) | −1.78319e14 | + | 3.08858e14i | −0.122942 | + | 0.212941i | −0.920927 | − | 0.389736i | \(-0.872566\pi\) |
0.797985 | + | 0.602678i | \(0.205899\pi\) | |||||||
\(572\) | 1.40566e15 | + | 2.43468e15i | 0.959850 | + | 1.66251i | ||||
\(573\) | −1.60206e14 | −0.108350 | ||||||||
\(574\) | 1.64855e14 | + | 3.42950e14i | 0.110430 | + | 0.229729i | ||||
\(575\) | −1.67369e12 | −0.00111046 | ||||||||
\(576\) | −4.85883e14 | − | 8.41574e14i | −0.319307 | − | 0.553055i | ||||
\(577\) | 1.27645e15 | − | 2.21087e15i | 0.830874 | − | 1.43912i | −0.0664718 | − | 0.997788i | \(-0.521174\pi\) |
0.897346 | − | 0.441328i | \(-0.145492\pi\) | |||||||
\(578\) | −1.86662e14 | + | 3.23308e14i | −0.120352 | + | 0.208456i | ||||
\(579\) | −9.99843e13 | − | 1.73178e14i | −0.0638557 | − | 0.110601i | ||||
\(580\) | −2.57659e15 | −1.63001 | ||||||||
\(581\) | −8.78029e14 | − | 6.64293e13i | −0.550225 | − | 0.0416285i | ||||
\(582\) | 1.98954e13 | 0.0123503 | ||||||||
\(583\) | −8.67254e14 | − | 1.50213e15i | −0.533297 | − | 0.923698i | ||||
\(584\) | −3.82356e14 | + | 6.62259e14i | −0.232915 | + | 0.403420i | ||||
\(585\) | 1.74059e15 | − | 3.01479e15i | 1.05036 | − | 1.81928i | ||||
\(586\) | 4.75507e13 | + | 8.23603e13i | 0.0284263 | + | 0.0492358i | ||||
\(587\) | 3.54701e14 | 0.210065 | 0.105032 | − | 0.994469i | \(-0.466505\pi\) | ||||
0.105032 | + | 0.994469i | \(0.466505\pi\) | |||||||
\(588\) | 6.38360e13 | + | 1.63337e14i | 0.0374533 | + | 0.0958314i | ||||
\(589\) | −6.55576e14 | −0.381056 | ||||||||
\(590\) | −1.17488e14 | − | 2.03496e14i | −0.0676563 | − | 0.117184i | ||||
\(591\) | −9.58112e13 | + | 1.65950e14i | −0.0546620 | + | 0.0946773i | ||||
\(592\) | −6.10513e14 | + | 1.05744e15i | −0.345084 | + | 0.597704i | ||||
\(593\) | 5.03007e14 | + | 8.71233e14i | 0.281691 | + | 0.487903i | 0.971801 | − | 0.235801i | \(-0.0757714\pi\) |
−0.690110 | + | 0.723704i | \(0.742438\pi\) | |||||||
\(594\) | −1.16185e14 | −0.0644650 | ||||||||
\(595\) | 4.13080e14 | + | 3.12525e13i | 0.227086 | + | 0.0171807i | ||||
\(596\) | −1.20402e15 | −0.655809 | ||||||||
\(597\) | 1.43302e14 | + | 2.48207e14i | 0.0773383 | + | 0.133954i | ||||
\(598\) | 8.61776e11 | − | 1.49264e12i | 0.000460827 | − | 0.000798175i | ||||
\(599\) | −1.16576e15 | + | 2.01915e15i | −0.617677 | + | 1.06985i | 0.372232 | + | 0.928140i | \(0.378593\pi\) |
−0.989909 | + | 0.141708i | \(0.954741\pi\) | |||||||
\(600\) | −2.61464e13 | − | 4.52869e13i | −0.0137271 | − | 0.0237761i | ||||
\(601\) | −1.71223e15 | −0.890741 | −0.445370 | − | 0.895346i | \(-0.646928\pi\) | ||||
−0.445370 | + | 0.895346i | \(0.646928\pi\) | |||||||
\(602\) | −2.39303e14 | − | 4.97827e14i | −0.123358 | − | 0.256624i | ||||
\(603\) | 8.57257e14 | 0.437891 | ||||||||
\(604\) | −2.79545e14 | − | 4.84187e14i | −0.141498 | − | 0.245081i | ||||
\(605\) | 4.99640e14 | − | 8.65401e14i | 0.250612 | − | 0.434073i | ||||
\(606\) | −4.58311e13 | + | 7.93818e13i | −0.0227804 | + | 0.0394568i | ||||
\(607\) | −1.08421e15 | − | 1.87790e15i | −0.534042 | − | 0.924987i | −0.999209 | − | 0.0397646i | \(-0.987339\pi\) |
0.465167 | − | 0.885223i | \(-0.345994\pi\) | |||||||
\(608\) | 9.03370e14 | 0.440957 | ||||||||
\(609\) | 1.80387e14 | − | 2.64173e14i | 0.0872588 | − | 0.127789i | ||||
\(610\) | −2.20215e14 | −0.105568 | ||||||||
\(611\) | 2.60599e15 | + | 4.51371e15i | 1.23807 | + | 2.14440i | ||||
\(612\) | 1.81872e14 | − | 3.15011e14i | 0.0856313 | − | 0.148318i | ||||
\(613\) | 9.28888e14 | − | 1.60888e15i | 0.433442 | − | 0.750743i | −0.563725 | − | 0.825962i | \(-0.690632\pi\) |
0.997167 | + | 0.0752193i | \(0.0239657\pi\) | |||||||
\(614\) | −2.04971e14 | − | 3.55021e14i | −0.0947911 | − | 0.164183i | ||||
\(615\) | −3.01630e14 | −0.138249 | ||||||||
\(616\) | 7.11092e14 | − | 1.04138e15i | 0.323022 | − | 0.473060i | ||||
\(617\) | 1.65019e15 | 0.742958 | 0.371479 | − | 0.928441i | \(-0.378851\pi\) | ||||
0.371479 | + | 0.928441i | \(0.378851\pi\) | |||||||
\(618\) | −1.72849e13 | − | 2.99383e13i | −0.00771311 | − | 0.0133595i | ||||
\(619\) | 3.50682e14 | − | 6.07398e14i | 0.155101 | − | 0.268643i | −0.777995 | − | 0.628271i | \(-0.783763\pi\) |
0.933096 | + | 0.359628i | \(0.117096\pi\) | |||||||
\(620\) | −7.82163e14 | + | 1.35475e15i | −0.342881 | + | 0.593887i | ||||
\(621\) | −5.37808e11 | − | 9.31512e11i | −0.000233681 | − | 0.000404748i | ||||
\(622\) | 6.31458e14 | 0.271955 | ||||||||
\(623\) | −1.86093e14 | − | 3.87133e14i | −0.0794413 | − | 0.165263i | ||||
\(624\) | −3.65769e14 | −0.154772 | ||||||||
\(625\) | 1.48972e15 | + | 2.58027e15i | 0.624835 | + | 1.08225i | ||||
\(626\) | 4.13392e13 | − | 7.16015e13i | 0.0171871 | − | 0.0297690i | ||||
\(627\) | −1.01370e14 | + | 1.75577e14i | −0.0417769 | + | 0.0723598i | ||||
\(628\) | 1.05117e15 | + | 1.82068e15i | 0.429432 | + | 0.743798i | ||||
\(629\) | −3.85300e14 | −0.156034 | ||||||||
\(630\) | −7.53555e14 | − | 5.70119e13i | −0.302512 | − | 0.0228872i | ||||
\(631\) | 3.23752e15 | 1.28840 | 0.644200 | − | 0.764857i | \(-0.277190\pi\) | ||||
0.644200 | + | 0.764857i | \(0.277190\pi\) | |||||||
\(632\) | 7.76233e14 | + | 1.34448e15i | 0.306230 | + | 0.530407i | ||||
\(633\) | −5.49191e12 | + | 9.51227e12i | −0.00214785 | + | 0.00372018i | ||||
\(634\) | 8.15058e13 | − | 1.41172e14i | 0.0316008 | − | 0.0547341i | ||||
\(635\) | −3.75638e14 | − | 6.50624e14i | −0.144382 | − | 0.250077i | ||||
\(636\) | 2.42814e14 | 0.0925250 | ||||||||
\(637\) | −4.51608e15 | − | 6.87282e14i | −1.70606 | − | 0.259638i | ||||
\(638\) | −1.11323e15 | −0.416937 | ||||||||
\(639\) | −2.53371e14 | − | 4.38852e14i | −0.0940812 | − | 0.162953i | ||||
\(640\) | 1.41876e15 | − | 2.45737e15i | 0.522300 | − | 0.904651i | ||||
\(641\) | 6.63480e14 | − | 1.14918e15i | 0.242164 | − | 0.419440i | −0.719167 | − | 0.694838i | \(-0.755476\pi\) |
0.961330 | + | 0.275398i | \(0.0888096\pi\) | |||||||
\(642\) | −6.34030e13 | − | 1.09817e14i | −0.0229439 | − | 0.0397400i | ||||
\(643\) | −1.41765e15 | −0.508636 | −0.254318 | − | 0.967121i | \(-0.581851\pi\) | ||||
−0.254318 | + | 0.967121i | \(0.581851\pi\) | |||||||
\(644\) | 5.63388e12 | + | 4.26244e11i | 0.00200418 | + | 0.000151630i | ||||
\(645\) | 4.37847e14 | 0.154434 | ||||||||
\(646\) | 4.22888e13 | + | 7.32464e13i | 0.0147893 | + | 0.0256158i | ||||
\(647\) | 1.41547e15 | − | 2.45167e15i | 0.490826 | − | 0.850136i | −0.509118 | − | 0.860697i | \(-0.670028\pi\) |
0.999944 | + | 0.0105608i | \(0.00336168\pi\) | |||||||
\(648\) | −6.77072e14 | + | 1.17272e15i | −0.232794 | + | 0.403212i | ||||
\(649\) | 7.66530e14 | + | 1.32767e15i | 0.261326 | + | 0.452631i | ||||
\(650\) | 6.59247e14 | 0.222856 | ||||||||
\(651\) | −8.41407e13 | − | 1.75039e14i | −0.0282040 | − | 0.0586733i | ||||
\(652\) | −9.45374e13 | −0.0314226 | ||||||||
\(653\) | −1.93278e15 | − | 3.34767e15i | −0.637030 | − | 1.10337i | −0.986081 | − | 0.166264i | \(-0.946829\pi\) |
0.349051 | − | 0.937104i | \(-0.386504\pi\) | |||||||
\(654\) | −3.71654e13 | + | 6.43724e13i | −0.0121468 | + | 0.0210388i | ||||
\(655\) | −2.70764e15 | + | 4.68977e15i | −0.877533 | + | 1.51993i | ||||
\(656\) | −1.30084e15 | − | 2.25312e15i | −0.418073 | − | 0.724123i | ||||
\(657\) | −2.98999e15 | −0.952930 | ||||||||
\(658\) | 6.38028e14 | − | 9.34382e14i | 0.201650 | − | 0.295313i | ||||
\(659\) | −1.83916e15 | −0.576434 | −0.288217 | − | 0.957565i | \(-0.593062\pi\) | ||||
−0.288217 | + | 0.957565i | \(0.593062\pi\) | |||||||
\(660\) | 2.41887e14 | + | 4.18960e14i | 0.0751832 | + | 0.130221i | ||||
\(661\) | −1.36681e15 | + | 2.36739e15i | −0.421310 | + | 0.729729i | −0.996068 | − | 0.0885937i | \(-0.971763\pi\) |
0.574758 | + | 0.818323i | \(0.305096\pi\) | |||||||
\(662\) | −5.93542e14 | + | 1.02804e15i | −0.181440 | + | 0.314263i | ||||
\(663\) | −5.77101e13 | − | 9.99569e13i | −0.0174956 | − | 0.0303032i | ||||
\(664\) | −8.86363e14 | −0.266494 | ||||||||
\(665\) | −1.49630e15 | + | 2.19131e15i | −0.446170 | + | 0.653409i | ||||
\(666\) | 7.02878e14 | 0.207860 | ||||||||
\(667\) | −5.15303e12 | − | 8.92530e12i | −0.00151137 | − | 0.00261777i | ||||
\(668\) | 1.74316e15 | − | 3.01925e15i | 0.507069 | − | 0.878270i | ||||
\(669\) | 2.23978e14 | − | 3.87940e14i | 0.0646191 | − | 0.111924i | ||||
\(670\) | 2.37818e14 | + | 4.11913e14i | 0.0680509 | + | 0.117868i | ||||
\(671\) | 1.43675e15 | 0.407763 | ||||||||
\(672\) | 1.15944e14 | + | 2.41201e14i | 0.0326376 | + | 0.0678965i | ||||
\(673\) | 2.72205e15 | 0.759999 | 0.379999 | − | 0.924987i | \(-0.375924\pi\) | ||||
0.379999 | + | 0.924987i | \(0.375924\pi\) | |||||||
\(674\) | 8.68613e13 | + | 1.50448e14i | 0.0240545 | + | 0.0416637i | ||||
\(675\) | 2.05708e14 | − | 3.56297e14i | 0.0565042 | − | 0.0978682i | ||||
\(676\) | 3.40461e15 | − | 5.89696e15i | 0.927600 | − | 1.60665i | ||||
\(677\) | 6.46098e14 | + | 1.11908e15i | 0.174607 | + | 0.302428i | 0.940025 | − | 0.341105i | \(-0.110801\pi\) |
−0.765418 | + | 0.643533i | \(0.777468\pi\) | |||||||
\(678\) | 4.51885e13 | 0.0121134 | ||||||||
\(679\) | −1.69402e15 | − | 1.28165e14i | −0.450439 | − | 0.0340790i | ||||
\(680\) | 4.17001e14 | 0.109986 | ||||||||
\(681\) | −3.20124e14 | − | 5.54470e14i | −0.0837546 | − | 0.145067i | ||||
\(682\) | −3.37937e14 | + | 5.85325e14i | −0.0877046 | + | 0.151909i | ||||
\(683\) | 1.79944e15 | − | 3.11672e15i | 0.463258 | − | 0.802386i | −0.535863 | − | 0.844305i | \(-0.680014\pi\) |
0.999121 | + | 0.0419187i | \(0.0133470\pi\) | |||||||
\(684\) | 1.16494e15 | + | 2.01773e15i | 0.297505 | + | 0.515293i | ||||
\(685\) | 2.23195e14 | 0.0565440 | ||||||||
\(686\) | 2.90266e14 | + | 9.48223e14i | 0.0729481 | + | 0.238302i | ||||
\(687\) | 3.07511e13 | 0.00766653 | ||||||||
\(688\) | 1.88830e15 | + | 3.27063e15i | 0.467018 | + | 0.808899i | ||||
\(689\) | −3.16247e15 | + | 5.47756e15i | −0.775927 | + | 1.34395i | ||||
\(690\) | 1.48294e11 | − | 2.56854e11i | 3.60957e−5 | − | 6.25195e-5i | ||||
\(691\) | 3.41027e14 | + | 5.90677e14i | 0.0823493 | + | 0.142633i | 0.904259 | − | 0.426985i | \(-0.140424\pi\) |
−0.821909 | + | 0.569618i | \(0.807091\pi\) | |||||||
\(692\) | −1.95208e15 | −0.467644 | ||||||||
\(693\) | 4.91643e15 | + | 3.71964e14i | 1.16847 | + | 0.0884031i | ||||
\(694\) | −4.07528e14 | −0.0960905 | ||||||||
\(695\) | 7.71810e14 | + | 1.33681e15i | 0.180548 | + | 0.312719i | ||||
\(696\) | 1.61001e14 | − | 2.78862e14i | 0.0373660 | − | 0.0647199i | ||||
\(697\) | 4.10485e14 | − | 7.10981e14i | 0.0945186 | − | 0.163711i | ||||
\(698\) | −1.02481e15 | − | 1.77502e15i | −0.234119 | − | 0.405507i | ||||
\(699\) | −2.61360e14 | −0.0592399 | ||||||||
\(700\) | 9.36269e14 | + | 1.94774e15i | 0.210553 | + | 0.438017i | ||||
\(701\) | 2.69105e15 | 0.600445 | 0.300222 | − | 0.953869i | \(-0.402939\pi\) | ||||
0.300222 | + | 0.953869i | \(0.402939\pi\) | |||||||
\(702\) | 2.11836e14 | + | 3.66911e14i | 0.0468971 | + | 0.0812281i | ||||
\(703\) | 1.23397e15 | − | 2.13730e15i | 0.271051 | − | 0.469475i | ||||
\(704\) | −1.75886e15 | + | 3.04643e15i | −0.383337 | + | 0.663960i | ||||
\(705\) | 4.48439e14 | + | 7.76719e14i | 0.0969758 | + | 0.167967i | ||||
\(706\) | 1.24818e15 | 0.267824 | ||||||||
\(707\) | 4.41374e15 | − | 6.46385e15i | 0.939722 | − | 1.37621i | ||||
\(708\) | −2.14613e14 | −0.0453391 | ||||||||
\(709\) | −5.83971e14 | − | 1.01147e15i | −0.122416 | − | 0.212030i | 0.798304 | − | 0.602254i | \(-0.205731\pi\) |
−0.920720 | + | 0.390224i | \(0.872397\pi\) | |||||||
\(710\) | 1.40580e14 | − | 2.43491e14i | 0.0292416 | − | 0.0506479i | ||||
\(711\) | −3.03505e15 | + | 5.25685e15i | −0.626444 | + | 1.08503i | ||||
\(712\) | −2.16190e14 | − | 3.74451e14i | −0.0442787 | − | 0.0766930i | ||||
\(713\) | −6.25712e12 | −0.00127169 | ||||||||
\(714\) | −1.41292e13 | + | 2.06921e13i | −0.00284957 | + | 0.00417315i | ||||
\(715\) | −1.26016e16 | −2.52199 | ||||||||
\(716\) | −4.18431e15 | − | 7.24745e15i | −0.831003 | − | 1.43934i | ||||
\(717\) | −3.90768e14 | + | 6.76830e14i | −0.0770129 | + | 0.133390i | ||||
\(718\) | 3.50256e14 | − | 6.06661e14i | 0.0685016 | − | 0.118648i | ||||
\(719\) | −3.30274e15 | − | 5.72052e15i | −0.641011 | − | 1.11026i | −0.985207 | − | 0.171366i | \(-0.945182\pi\) |
0.344196 | − | 0.938898i | \(-0.388151\pi\) | |||||||
\(720\) | 5.16696e15 | 0.995191 | ||||||||
\(721\) | 1.27889e15 | + | 2.66049e15i | 0.244449 | + | 0.508531i | ||||
\(722\) | 7.72069e14 | 0.146454 | ||||||||
\(723\) | −3.98375e14 | − | 6.90006e14i | −0.0749948 | − | 0.129895i | ||||
\(724\) | −4.51964e15 | + | 7.82825e15i | −0.844387 | + | 1.46252i | ||||
\(725\) | 1.97100e15 | − | 3.41387e15i | 0.365449 | − | 0.632977i | ||||
\(726\) | 3.02199e13 | + | 5.23424e13i | 0.00556085 | + | 0.00963168i | ||||
\(727\) | 8.55928e15 | 1.56314 | 0.781570 | − | 0.623817i | \(-0.214419\pi\) | ||||
0.781570 | + | 0.623817i | \(0.214419\pi\) | |||||||
\(728\) | −4.58519e15 | − | 3.46903e14i | −0.831064 | − | 0.0628761i | ||||
\(729\) | −5.16166e15 | −0.928513 | ||||||||
\(730\) | −8.29478e14 | − | 1.43670e15i | −0.148091 | − | 0.256501i | ||||
\(731\) | −5.95861e14 | + | 1.03206e15i | −0.105584 | + | 0.182877i | ||||
\(732\) | −1.00565e14 | + | 1.74184e14i | −0.0176863 | + | 0.0306336i | ||||
\(733\) | 3.25048e15 | + | 5.63000e15i | 0.567383 | + | 0.982736i | 0.996824 | + | 0.0796407i | \(0.0253773\pi\) |
−0.429441 | + | 0.903095i | \(0.641289\pi\) | |||||||
\(734\) | −1.30986e15 | −0.226932 | ||||||||
\(735\) | −7.77127e14 | − | 1.18268e14i | −0.133632 | − | 0.0203369i | ||||
\(736\) | 8.62218e12 | 0.00147160 | ||||||||
\(737\) | −1.55160e15 | − | 2.68745e15i | −0.262851 | − | 0.455270i | ||||
\(738\) | −7.48821e14 | + | 1.29700e15i | −0.125912 | + | 0.218087i | ||||
\(739\) | 6.46444e14 | − | 1.11967e15i | 0.107891 | − | 0.186873i | −0.807025 | − | 0.590518i | \(-0.798924\pi\) |
0.914916 | + | 0.403645i | \(0.132257\pi\) | |||||||
\(740\) | −2.94449e15 | − | 5.10000e15i | −0.487793 | − | 0.844882i | ||||
\(741\) | 7.39296e14 | 0.121568 | ||||||||
\(742\) | 1.36913e15 | + | 1.03585e14i | 0.223472 | + | 0.0169073i | ||||
\(743\) | 4.83210e15 | 0.782884 | 0.391442 | − | 0.920203i | \(-0.371976\pi\) | ||||
0.391442 | + | 0.920203i | \(0.371976\pi\) | |||||||
\(744\) | −9.77485e13 | − | 1.69305e14i | −0.0157202 | − | 0.0272282i | ||||
\(745\) | 2.69846e15 | − | 4.67387e15i | 0.430781 | − | 0.746135i | ||||
\(746\) | 1.04756e15 | − | 1.81442e15i | 0.166002 | − | 0.287524i | ||||
\(747\) | −1.73282e15 | − | 3.00134e15i | −0.272578 | − | 0.472119i | ||||
\(748\) | −1.31672e15 | −0.205606 | ||||||||
\(749\) | 4.69111e15 | + | 9.75901e15i | 0.727153 | + | 1.51271i | ||||
\(750\) | −1.05484e14 | −0.0162311 | ||||||||
\(751\) | −3.69815e15 | − | 6.40538e15i | −0.564891 | − | 0.978420i | −0.997060 | − | 0.0766270i | \(-0.975585\pi\) |
0.432169 | − | 0.901793i | \(-0.357748\pi\) | |||||||
\(752\) | −3.86795e15 | + | 6.69949e15i | −0.586520 | + | 1.01588i | ||||
\(753\) | −4.82491e14 | + | 8.35700e14i | −0.0726302 | + | 0.125799i | ||||
\(754\) | 2.02971e15 | + | 3.51557e15i | 0.303314 | + | 0.525355i | ||||
\(755\) | 2.50609e15 | 0.371782 | ||||||||
\(756\) | −7.83182e14 | + | 1.14696e15i | −0.115343 | + | 0.168919i | ||||
\(757\) | 1.84974e15 | 0.270447 | 0.135224 | − | 0.990815i | \(-0.456825\pi\) | ||||
0.135224 | + | 0.990815i | \(0.456825\pi\) | |||||||
\(758\) | 1.51038e14 | + | 2.61605e14i | 0.0219232 | + | 0.0379721i | ||||
\(759\) | −9.67519e11 | + | 1.67579e12i | −0.000139422 | + | 0.000241485i | ||||
\(760\) | −1.33550e15 | + | 2.31315e15i | −0.191060 | + | 0.330925i | ||||
\(761\) | 3.68468e15 | + | 6.38206e15i | 0.523341 | + | 0.906453i | 0.999631 | + | 0.0271647i | \(0.00864786\pi\) |
−0.476290 | + | 0.879288i | \(0.658019\pi\) | |||||||
\(762\) | 4.54397e13 | 0.00640741 | ||||||||
\(763\) | 3.57919e15 | − | 5.24167e15i | 0.501072 | − | 0.733812i | ||||
\(764\) | 6.66456e15 | 0.926314 | ||||||||
\(765\) | 8.15230e14 | + | 1.41202e15i | 0.112497 | + | 0.194851i | ||||
\(766\) | −4.79406e14 | + | 8.30356e14i | −0.0656819 | + | 0.113764i | ||||
\(767\) | 2.79518e15 | − | 4.84139e15i | 0.380220 | − | 0.658560i | ||||
\(768\) | −1.76716e14 | − | 3.06081e14i | −0.0238665 | − | 0.0413381i | ||||
\(769\) | −4.43889e15 | −0.595223 | −0.297612 | − | 0.954687i | \(-0.596190\pi\) | ||||
−0.297612 | + | 0.954687i | \(0.596190\pi\) | |||||||
\(770\) | 1.18518e15 | + | 2.46554e15i | 0.157792 | + | 0.328257i | ||||
\(771\) | 3.58391e14 | 0.0473759 | ||||||||
\(772\) | 4.15934e15 | + | 7.20419e15i | 0.545921 | + | 0.945563i | ||||
\(773\) | 2.11542e15 | − | 3.66401e15i | 0.275682 | − | 0.477496i | −0.694625 | − | 0.719372i | \(-0.744430\pi\) |
0.970307 | + | 0.241877i | \(0.0777629\pi\) | |||||||
\(774\) | 1.08699e15 | − | 1.88272e15i | 0.140653 | − | 0.243619i | ||||
\(775\) | −1.19665e15 | − | 2.07266e15i | −0.153748 | − | 0.266299i | ||||
\(776\) | −1.71010e15 | −0.218164 | ||||||||
\(777\) | 7.29038e14 | + | 5.51570e13i | 0.0923495 | + | 0.00698691i | ||||
\(778\) | −1.87018e15 | −0.235232 | ||||||||
\(779\) | 2.62926e15 | + | 4.55402e15i | 0.328381 | + | 0.568773i | ||||
\(780\) | 8.82049e14 | − | 1.52775e15i | 0.109389 | − | 0.189467i | ||||
\(781\) | −9.17185e14 | + | 1.58861e15i | −0.112947 | + | 0.195631i | ||||
\(782\) | 4.03624e11 | + | 6.99098e11i | 4.93560e−5 | + | 8.54871e-5i | ||||
\(783\) | 2.53337e15 | 0.307616 | ||||||||
\(784\) | −2.46807e15 | − | 6.31503e15i | −0.297591 | − | 0.761442i | ||||
\(785\) | −9.42360e15 | −1.12832 | ||||||||
\(786\) | −1.63767e14 | − | 2.83653e14i | −0.0194716 | − | 0.0337259i | ||||
\(787\) | −3.38901e15 | + | 5.86993e15i | −0.400139 | + | 0.693062i | −0.993742 | − | 0.111696i | \(-0.964372\pi\) |
0.593603 | + | 0.804758i | \(0.297705\pi\) | |||||||
\(788\) | 3.98574e15 | − | 6.90351e15i | 0.467321 | − | 0.809423i | ||||
\(789\) | −4.52330e14 | − | 7.83459e14i | −0.0526662 | − | 0.0912206i | ||||
\(790\) | −3.36790e15 | −0.389413 | ||||||||
\(791\) | −3.84765e15 | − | 2.91103e14i | −0.441799 | − | 0.0334253i | ||||
\(792\) | 4.96309e15 | 0.565932 | ||||||||
\(793\) | −2.61958e15 | − | 4.53725e15i | −0.296640 | − | 0.513796i | ||||
\(794\) | 1.36612e14 | − | 2.36619e14i | 0.0153630 | − | 0.0266095i | ||||
\(795\) | −5.44199e14 | + | 9.42580e14i | −0.0607769 | + | 0.105269i | ||||
\(796\) | −5.96137e15 | − | 1.03254e16i | −0.661187 | − | 1.14521i | ||||
\(797\) | −1.33008e16 | −1.46507 | −0.732535 | − | 0.680729i | \(-0.761663\pi\) | ||||
−0.732535 | + | 0.680729i | \(0.761663\pi\) | |||||||
\(798\) | −6.95305e13 | − | 1.44646e14i | −0.00760606 | − | 0.0158230i | ||||
\(799\) | −2.44110e15 | −0.265203 | ||||||||
\(800\) | 1.64896e15 | + | 2.85609e15i | 0.177916 | + | 0.308160i | ||||
\(801\) | 8.45294e14 | − | 1.46409e15i | 0.0905793 | − | 0.156888i | ||||
\(802\) | −5.51642e14 | + | 9.55472e14i | −0.0587081 | + | 0.101685i | ||||
\(803\) | 5.41177e15 | + | 9.37346e15i | 0.572010 | + | 0.990751i | ||||
\(804\) | 4.34417e14 | 0.0456035 | ||||||||
\(805\) | −1.42814e13 | + | 2.09149e13i | −0.00148900 | + | 0.00218061i | ||||
\(806\) | 2.46460e15 | 0.255214 | ||||||||
\(807\) | −3.64641e14 | − | 6.31577e14i | −0.0375026 | − | 0.0649564i | ||||
\(808\) | 3.93940e15 | − | 6.82324e15i | 0.402409 | − | 0.696993i | ||||
\(809\) | −4.51494e15 | + | 7.82011e15i | −0.458074 | + | 0.793407i | −0.998859 | − | 0.0477536i | \(-0.984794\pi\) |
0.540785 | + | 0.841161i | \(0.318127\pi\) | |||||||
\(810\) | −1.46883e15 | − | 2.54409e15i | −0.148015 | − | 0.256369i | ||||
\(811\) | 6.51659e15 | 0.652238 | 0.326119 | − | 0.945329i | \(-0.394259\pi\) | ||||
0.326119 | + | 0.945329i | \(0.394259\pi\) | |||||||
\(812\) | −7.50408e15 | + | 1.09896e16i | −0.746000 | + | 1.09251i | ||||
\(813\) | 3.59247e14 | 0.0354727 | ||||||||
\(814\) | −1.27218e15 | − | 2.20348e15i | −0.124771 | − | 0.216110i | ||||
\(815\) | 2.11879e14 | − | 3.66985e14i | 0.0206405 | − | 0.0357505i | ||||
\(816\) | 8.56565e13 | − | 1.48361e14i | 0.00828829 | − | 0.0143557i | ||||
\(817\) | −3.81664e15 | − | 6.61062e15i | −0.366826 | − | 0.635361i | ||||
\(818\) | −4.91161e14 | −0.0468900 | ||||||||
\(819\) | −7.78931e15 | − | 1.62042e16i | −0.738648 | − | 1.53662i | ||||
\(820\) | 1.25478e16 | 1.18193 | ||||||||
\(821\) | 4.35603e15 | + | 7.54486e15i | 0.407571 | + | 0.705933i | 0.994617 | − | 0.103620i | \(-0.0330426\pi\) |
−0.587046 | + | 0.809554i | \(0.699709\pi\) | |||||||
\(822\) | −6.74980e12 | + | 1.16910e13i | −0.000627329 | + | 0.00108657i | ||||
\(823\) | −9.95304e15 | + | 1.72392e16i | −0.918875 | + | 1.59154i | −0.117749 | + | 0.993043i | \(0.537568\pi\) |
−0.801126 | + | 0.598496i | \(0.795765\pi\) | |||||||
\(824\) | 1.48572e15 | + | 2.57334e15i | 0.136250 | + | 0.235992i | ||||
\(825\) | −7.40139e14 | −0.0674244 | ||||||||
\(826\) | −1.21012e15 | − | 9.15542e13i | −0.109506 | − | 0.00828492i | ||||
\(827\) | −2.87826e15 | −0.258732 | −0.129366 | − | 0.991597i | \(-0.541294\pi\) | ||||
−0.129366 | + | 0.991597i | \(0.541294\pi\) | |||||||
\(828\) | 1.11187e13 | + | 1.92581e13i | 0.000992857 | + | 0.00171968i | ||||
\(829\) | 9.02010e15 | − | 1.56233e16i | 0.800132 | − | 1.38587i | −0.119397 | − | 0.992847i | \(-0.538096\pi\) |
0.919529 | − | 0.393022i | \(-0.128571\pi\) | |||||||
\(830\) | 9.61433e14 | − | 1.66525e15i | 0.0847207 | − | 0.146741i | ||||
\(831\) | 8.68686e14 | + | 1.50461e15i | 0.0760426 | + | 0.131710i | ||||
\(832\) | 1.28275e16 | 1.11548 | ||||||||
\(833\) | 1.33636e15 | − | 1.67084e15i | 0.115445 | − | 0.144340i | ||||
\(834\) | −9.33633e13 | −0.00801240 | ||||||||
\(835\) | 7.81362e15 | + | 1.35336e16i | 0.666157 | + | 1.15382i | ||||
\(836\) | 4.21698e15 | − | 7.30402e15i | 0.357163 | − | 0.618625i | ||||
\(837\) | 7.69042e14 | − | 1.33202e15i | 0.0647083 | − | 0.112078i | ||||
\(838\) | 2.14423e14 | + | 3.71391e14i | 0.0179237 | + | 0.0310448i | ||||
\(839\) | 3.18184e15 | 0.264234 | 0.132117 | − | 0.991234i | \(-0.457823\pi\) | ||||
0.132117 | + | 0.991234i | \(0.457823\pi\) | |||||||
\(840\) | −7.89020e14 | − | 5.96951e13i | −0.0650956 | − | 0.00492496i | ||||
\(841\) | 1.20730e16 | 0.989549 | ||||||||
\(842\) | −1.03817e15 | − | 1.79816e15i | −0.0845381 | − | 0.146424i | ||||
\(843\) | −2.08892e14 | + | 3.61812e14i | −0.0168994 | + | 0.0292706i | ||||
\(844\) | 2.28463e14 | − | 3.95710e14i | 0.0183626 | − | 0.0318049i | ||||
\(845\) | 1.52610e16 | + | 2.64328e16i | 1.21863 | + | 2.11072i | ||||
\(846\) | 4.45314e15 | 0.353289 | ||||||||
\(847\) | −2.23593e15 | − | 4.65145e15i | −0.176238 | − | 0.366632i | ||||
\(848\) | −9.38783e15 | −0.735170 | ||||||||
\(849\) | 4.44619e13 | + | 7.70103e13i | 0.00345936 | + | 0.00599179i | ||||
\(850\) | −1.54384e14 | + | 2.67400e14i | −0.0119343 | + | 0.0206708i | ||||
\(851\) | 1.17776e13 | − | 2.03994e13i | 0.000904575 | − | 0.00156677i | ||||
\(852\) | −1.28397e14 | − | 2.22389e14i | −0.00979796 | − | 0.0169706i | ||||
\(853\) | −2.25894e16 | −1.71272 | −0.856359 | − | 0.516382i | \(-0.827279\pi\) | ||||
−0.856359 | + | 0.516382i | \(0.827279\pi\) | |||||||
\(854\) | −6.41356e14 | + | 9.39256e14i | −0.0483149 | + | 0.0707564i | ||||
\(855\) | −1.04435e16 | −0.781687 | ||||||||
\(856\) | 5.44979e15 | + | 9.43932e15i | 0.405298 | + | 0.701997i | ||||
\(857\) | 7.73740e15 | − | 1.34016e16i | 0.571742 | − | 0.990287i | −0.424645 | − | 0.905360i | \(-0.639601\pi\) |
0.996387 | − | 0.0849266i | \(-0.0270656\pi\) | |||||||
\(858\) | 3.81094e14 | − | 6.60074e14i | 0.0279803 | − | 0.0484632i | ||||
\(859\) | −4.43946e15 | − | 7.68937e15i | −0.323868 | − | 0.560956i | 0.657415 | − | 0.753529i | \(-0.271650\pi\) |
−0.981283 | + | 0.192573i | \(0.938317\pi\) | |||||||
\(860\) | −1.82144e16 | −1.32030 | ||||||||
\(861\) | −8.78471e14 | + | 1.28651e15i | −0.0632718 | + | 0.0926605i | ||||
\(862\) | −2.49779e15 | −0.178758 | ||||||||
\(863\) | −3.07978e15 | − | 5.33433e15i | −0.219008 | − | 0.379333i | 0.735497 | − | 0.677528i | \(-0.236949\pi\) |
−0.954505 | + | 0.298195i | \(0.903615\pi\) | |||||||
\(864\) | −1.05972e15 | + | 1.83550e15i | −0.0748802 | + | 0.129696i | ||||
\(865\) | 4.37505e15 | − | 7.57781e15i | 0.307181 | − | 0.532053i | ||||
\(866\) | −1.41901e15 | − | 2.45779e15i | −0.0990002 | − | 0.171473i | ||||
\(867\) | −1.52838e15 | −0.105956 | ||||||||
\(868\) | 3.50025e15 | + | 7.28163e15i | 0.241124 | + | 0.501615i | ||||
\(869\) | 2.19733e16 | 1.50413 | ||||||||
\(870\) | 3.49273e14 | + | 6.04959e14i | 0.0237580 | + | 0.0411500i | ||||
\(871\) | −5.65797e15 | + | 9.79989e15i | −0.382438 | + | 0.662401i | ||||
\(872\) | 3.19454e15 | − | 5.53311e15i | 0.214570 | − | 0.371645i | ||||
\(873\) | −3.34322e15 | − | 5.79063e15i | −0.223145 | − | 0.386498i | ||||
\(874\) | −5.17063e12 | −0.000342950 | ||||||||
\(875\) | 8.98156e15 | + | 6.79521e14i | 0.591981 | + | 0.0447877i | ||||
\(876\) | −1.51519e15 | −0.0992416 | ||||||||
\(877\) | −8.92839e15 | − | 1.54644e16i | −0.581133 | − | 1.00655i | −0.995345 | − | 0.0963712i | \(-0.969276\pi\) |
0.414213 | − | 0.910180i | \(-0.364057\pi\) | |||||||
\(878\) | −2.78550e15 | + | 4.82462e15i | −0.180170 | + | 0.312064i | ||||
\(879\) | −1.94672e14 | + | 3.37181e14i | −0.0125131 | + | 0.0216733i | ||||
\(880\) | −9.35200e15 | − | 1.61981e16i | −0.597379 | − | 1.03469i | ||||
\(881\) | −3.05351e16 | −1.93835 | −0.969173 | − | 0.246381i | \(-0.920759\pi\) | ||||
−0.969173 | + | 0.246381i | \(0.920759\pi\) | |||||||
\(882\) | −2.43783e15 | + | 3.04800e15i | −0.153789 | + | 0.192282i | ||||
\(883\) | −1.26533e16 | −0.793265 | −0.396632 | − | 0.917977i | \(-0.629821\pi\) | ||||
−0.396632 | + | 0.917977i | \(0.629821\pi\) | |||||||
\(884\) | 2.40074e15 | + | 4.15820e15i | 0.149575 | + | 0.259071i | ||||
\(885\) | 4.80995e14 | − | 8.33107e14i | 0.0297819 | − | 0.0515837i | ||||
\(886\) | −2.62559e15 | + | 4.54765e15i | −0.161563 | + | 0.279835i | ||||
\(887\) | 5.51844e15 | + | 9.55822e15i | 0.337471 | + | 0.584517i | 0.983956 | − | 0.178409i | \(-0.0570951\pi\) |
−0.646485 | + | 0.762927i | \(0.723762\pi\) | |||||||
\(888\) | 7.35958e14 | 0.0447282 | ||||||||
\(889\) | −3.86903e15 | − | 2.92721e14i | −0.233691 | − | 0.0176805i | ||||
\(890\) | 9.37999e14 | 0.0563063 | ||||||||
\(891\) | 9.58312e15 | + | 1.65985e16i | 0.571715 | + | 0.990240i | ||||
\(892\) | −9.31746e15 | + | 1.61383e16i | −0.552447 | + | 0.956867i | ||||
\(893\) | 7.81794e15 | − | 1.35411e16i | 0.460691 | − | 0.797940i | ||||
\(894\) | 1.63212e14 | + | 2.82692e14i | 0.00955864 | + | 0.0165560i | ||||
\(895\) | 3.75119e16 | 2.18344 | ||||||||
\(896\) | −6.34910e15 | − | 1.32081e16i | −0.367298 | − | 0.764095i | ||||
\(897\) | 7.05619e12 | 0.000405706 | ||||||||
\(898\) | 1.05747e15 | + | 1.83159e15i | 0.0604295 | + | 0.104667i | ||||
\(899\) | 7.36860e15 | − | 1.27628e16i | 0.418511 | − | 0.724882i | ||||
\(900\) | −4.25283e15 | + | 7.36611e15i | −0.240073 | + | 0.415819i | ||||
\(901\) | −1.48119e15 | − | 2.56549e15i | −0.0831043 | − | 0.143941i | ||||
\(902\) | 5.42135e15 | 0.302323 | ||||||||
\(903\) | 1.27519e15 | − | 1.86749e15i | 0.0706792 | − | 0.103509i | ||||
\(904\) | −3.88417e15 | −0.213979 | ||||||||
\(905\) | −2.02590e16 | − | 3.50896e16i | −1.10931 | − | 1.92137i | ||||
\(906\) | −7.57884e13 | + | 1.31269e14i | −0.00412475 | + | 0.00714427i | ||||
\(907\) | −2.65689e15 | + | 4.60186e15i | −0.143725 | + | 0.248939i | −0.928897 | − | 0.370339i | \(-0.879241\pi\) |
0.785171 | + | 0.619279i | \(0.212575\pi\) | |||||||
\(908\) | 1.33171e16 | + | 2.30660e16i | 0.716042 | + | 1.24022i | ||||
\(909\) | 3.08058e16 | 1.64639 | ||||||||
\(910\) | 5.62527e15 | − | 8.23812e15i | 0.298824 | − | 0.437623i | ||||
\(911\) | −6.12919e15 | −0.323632 | −0.161816 | − | 0.986821i | \(-0.551735\pi\) | ||||
−0.161816 | + | 0.986821i | \(0.551735\pi\) | |||||||
\(912\) | 5.48652e14 | + | 9.50293e14i | 0.0287956 | + | 0.0498754i | ||||
\(913\) | −6.27269e15 | + | 1.08646e16i | −0.327238 | + | 0.566794i | ||||
\(914\) | −2.35398e15 | + | 4.07721e15i | −0.122067 | + | 0.211426i | ||||
\(915\) | −4.50778e14 | − | 7.80771e14i | −0.0232352 | − | 0.0402446i | ||||
\(916\) | −1.27924e15 | −0.0655433 | ||||||||
\(917\) | 1.21169e16 | + | 2.52071e16i | 0.617108 | + | 1.28378i | ||||
\(918\) | −1.98433e14 | −0.0100457 | ||||||||
\(919\) | 7.94864e15 | + | 1.37675e16i | 0.399998 | + | 0.692817i | 0.993725 | − | 0.111850i | \(-0.0356775\pi\) |
−0.593727 | + | 0.804666i | \(0.702344\pi\) | |||||||
\(920\) | −1.27466e13 | + | 2.20778e13i | −0.000637620 | + | 0.00110439i | ||||
\(921\) | 8.39149e14 | − | 1.45345e15i | 0.0417264 | − | 0.0722723i | ||||
\(922\) | 7.74842e14 | + | 1.34207e15i | 0.0382995 | + | 0.0663367i | ||||
\(923\) | 6.68909e15 | 0.328668 | ||||||||
\(924\) | 2.49141e15 | + | 1.88493e14i | 0.121689 | + | 0.00920663i | ||||
\(925\) | 9.00972e15 | 0.437453 | ||||||||
\(926\) | −3.11923e15 | − | 5.40267e15i | −0.150552 | − | 0.260764i | ||||
\(927\) | −5.80910e15 | + | 1.00617e16i | −0.278721 | + | 0.482760i | ||||
\(928\) | −1.01538e16 | + | 1.75868e16i | −0.484299 | + | 0.838830i | ||||
\(929\) | −1.42380e16 | − | 2.46610e16i | −0.675093 | − | 1.16929i | −0.976442 | − | 0.215781i | \(-0.930770\pi\) |
0.301349 | − | 0.953514i | \(-0.402563\pi\) | |||||||
\(930\) | 4.24109e14 | 0.0199904 | ||||||||
\(931\) | 4.98849e15 | + | 1.27640e16i | 0.233747 | + | 0.598085i | ||||
\(932\) | 1.08726e16 | 0.506459 | ||||||||
\(933\) | 1.29259e15 | + | 2.23883e15i | 0.0598565 | + | 0.103675i | ||||
\(934\) | 5.14450e15 | − | 8.91054e15i | 0.236829 | − | 0.410201i | ||||
\(935\) | 2.95107e15 | − | 5.11140e15i | 0.135056 | − | 0.233925i | ||||
\(936\) | −9.04905e15 | − | 1.56734e16i | −0.411705 | − | 0.713093i | ||||
\(937\) | 9.41626e15 | 0.425903 | 0.212951 | − | 0.977063i | \(-0.431692\pi\) | ||||
0.212951 | + | 0.977063i | \(0.431692\pi\) | |||||||
\(938\) | 2.44951e15 | + | 1.85323e14i | 0.110145 | + | 0.00833324i | ||||
\(939\) | 3.38484e14 | 0.0151313 | ||||||||
\(940\) | −1.86551e16 | − | 3.23115e16i | −0.829074 | − | 1.43600i | ||||
\(941\) | −1.65277e16 | + | 2.86269e16i | −0.730248 | + | 1.26483i | 0.226528 | + | 0.974005i | \(0.427262\pi\) |
−0.956777 | + | 0.290823i | \(0.906071\pi\) | |||||||
\(942\) | 2.84986e14 | − | 4.93610e14i | 0.0125182 | − | 0.0216822i | ||||
\(943\) | 2.50949e13 | + | 4.34656e13i | 0.00109590 | + | 0.00189816i | ||||
\(944\) | 8.29751e15 | 0.360248 | ||||||||
\(945\) | −2.69710e15 | − | 5.61082e15i | −0.116418 | − | 0.242187i | ||||
\(946\) | −7.86963e15 | −0.337717 | ||||||||
\(947\) | −6.49341e15 | − | 1.12469e16i | −0.277043 | − | 0.479853i | 0.693605 | − | 0.720355i | \(-0.256021\pi\) |
−0.970649 | + | 0.240502i | \(0.922688\pi\) | |||||||
\(948\) | −1.53802e15 | + | 2.66392e15i | −0.0652402 | + | 0.112999i | ||||
\(949\) | 1.97342e16 | − | 3.41807e16i | 0.832254 | − | 1.44151i | ||||
\(950\) | −9.88867e14 | − | 1.71277e15i | −0.0414627 | − | 0.0718156i | ||||
\(951\) | 6.67366e14 | 0.0278209 | ||||||||
\(952\) | 1.21448e15 | − | 1.77858e15i | 0.0503368 | − | 0.0737175i | ||||
\(953\) | −3.82442e16 | −1.57600 | −0.787998 | − | 0.615678i | \(-0.788882\pi\) | ||||
−0.787998 | + | 0.615678i | \(0.788882\pi\) | |||||||
\(954\) | 2.70203e15 | + | 4.68006e15i | 0.110707 | + | 0.191750i | ||||
\(955\) | −1.49368e16 | + | 2.58712e16i | −0.608468 | + | 1.05390i | ||||
\(956\) | 1.62559e16 | − | 2.81561e16i | 0.658406 | − | 1.14039i | ||||
\(957\) | −2.27877e15 | − | 3.94694e15i | −0.0917665 | − | 0.158944i | ||||
\(958\) | 8.08071e15 | 0.323548 | ||||||||
\(959\) | 6.50035e14 | − | 9.51966e14i | 0.0258782 | − | 0.0378983i | ||||
\(960\) | 2.20735e15 | 0.0873736 | ||||||||
\(961\) | 8.23054e15 | + | 1.42557e16i | 0.323929 | + | 0.561061i | ||||
\(962\) | −4.63905e15 | + | 8.03508e15i | −0.181538 | + | 0.314432i | ||||
\(963\) | −2.13085e16 | + | 3.69074e16i | −0.829103 | + | 1.43605i | ||||
\(964\) | 1.65724e16 | + | 2.87042e16i | 0.641153 | + | 1.11051i | ||||
\(965\) | −3.72880e16 | −1.43440 | ||||||||
\(966\) | −6.63631e11 | − | 1.38056e12i | −2.53836e−5 | − | 5.28059e-5i | ||||
\(967\) | −2.04572e16 | −0.778036 | −0.389018 | − | 0.921230i | \(-0.627186\pi\) | ||||
−0.389018 | + | 0.921230i | \(0.627186\pi\) | |||||||
\(968\) | −2.59754e15 | − | 4.49908e15i | −0.0982310 | − | 0.170141i | ||||
\(969\) | −1.73130e14 | + | 2.99869e14i | −0.00651015 | + | 0.0112759i | ||||
\(970\) | 1.85494e15 | − | 3.21285e15i | 0.0693562 | − | 0.120128i | ||||
\(971\) | −2.26956e16 | − | 3.93100e16i | −0.843794 | − | 1.46149i | −0.886665 | − | 0.462413i | \(-0.846984\pi\) |
0.0428709 | − | 0.999081i | \(-0.486350\pi\) | |||||||
\(972\) | −8.21592e15 | −0.303733 | ||||||||
\(973\) | 7.94957e15 | + | 6.01443e14i | 0.292229 | + | 0.0221092i | ||||
\(974\) | 7.60196e15 | 0.277876 | ||||||||
\(975\) | 1.34947e15 | + | 2.33735e15i | 0.0490500 | + | 0.0849570i | ||||
\(976\) | 3.88813e15 | − | 6.73444e15i | 0.140529 | − | 0.243404i | ||||
\(977\) | 1.63016e16 | − | 2.82353e16i | 0.585883 | − | 1.01478i | −0.408881 | − | 0.912588i | \(-0.634081\pi\) |
0.994765 | − | 0.102192i | \(-0.0325857\pi\) | |||||||
\(978\) | 1.28152e13 | + | 2.21965e13i | 0.000457994 | + | 0.000793269i | ||||
\(979\) | −6.11980e15 | −0.217486 | ||||||||
\(980\) | 3.23285e16 | + | 4.91993e15i | 1.14246 | + | 0.173866i | ||||
\(981\) | 2.49811e16 | 0.877874 | ||||||||
\(982\) | −8.94313e14 | − | 1.54900e15i | −0.0312519 | − | 0.0541299i | ||||
\(983\) | 1.81809e16 | − | 3.14903e16i | 0.631788 | − | 1.09429i | −0.355398 | − | 0.934715i | \(-0.615655\pi\) |
0.987186 | − | 0.159574i | \(-0.0510120\pi\) | |||||||
\(984\) | −7.84063e14 | + | 1.35804e15i | −0.0270943 | + | 0.0469287i | ||||
\(985\) | 1.78658e16 | + | 3.09446e16i | 0.613938 | + | 1.06337i | ||||
\(986\) | −1.90129e15 | −0.0649718 | ||||||||
\(987\) | 4.61888e15 | + | 3.49452e14i | 0.156961 | + | 0.0118753i | ||||
\(988\) | −3.07547e16 | −1.03932 | ||||||||
\(989\) | −3.64278e13 | − | 6.30948e13i | −0.00122420 | − | 0.00212038i | ||||
\(990\) | −5.38344e15 | + | 9.32439e15i | −0.179914 | + | 0.311621i | ||||
\(991\) | −1.04312e16 | + | 1.80673e16i | −0.346680 | + | 0.600467i | −0.985657 | − | 0.168758i | \(-0.946024\pi\) |
0.638978 | + | 0.769225i | \(0.279358\pi\) | |||||||
\(992\) | 6.16467e15 | + | 1.06775e16i | 0.203749 | + | 0.352903i | ||||
\(993\) | −4.85990e15 | −0.159737 | ||||||||
\(994\) | −6.29106e14 | − | 1.30874e15i | −0.0205636 | − | 0.0427788i | ||||
\(995\) | 5.34430e16 | 1.73726 | ||||||||
\(996\) | −8.78113e14 | − | 1.52094e15i | −0.0283873 | − | 0.0491682i | ||||
\(997\) | −2.02594e15 | + | 3.50903e15i | −0.0651333 | + | 0.112814i | −0.896753 | − | 0.442531i | \(-0.854081\pi\) |
0.831620 | + | 0.555345i | \(0.187414\pi\) | |||||||
\(998\) | −2.13723e14 | + | 3.70178e14i | −0.00683333 | + | 0.0118357i | ||||
\(999\) | 2.89510e15 | + | 5.01445e15i | 0.0920561 | + | 0.159446i |
(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 | 7.12.c.a.4.4 | yes | 12 | |
3.2 | odd | 2 | 63.12.e.b.46.3 | 12 | |||
4.3 | odd | 2 | 112.12.i.c.81.3 | 12 | |||
7.2 | even | 3 | inner | 7.12.c.a.2.4 | ✓ | 12 | |
7.3 | odd | 6 | 49.12.a.f.1.3 | 6 | |||
7.4 | even | 3 | 49.12.a.g.1.3 | 6 | |||
7.5 | odd | 6 | 49.12.c.i.30.4 | 12 | |||
7.6 | odd | 2 | 49.12.c.i.18.4 | 12 | |||
21.2 | odd | 6 | 63.12.e.b.37.3 | 12 | |||
28.23 | odd | 6 | 112.12.i.c.65.3 | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
7.12.c.a.2.4 | ✓ | 12 | 7.2 | even | 3 | inner | |
7.12.c.a.4.4 | yes | 12 | 1.1 | even | 1 | trivial | |
49.12.a.f.1.3 | 6 | 7.3 | odd | 6 | |||
49.12.a.g.1.3 | 6 | 7.4 | even | 3 | |||
49.12.c.i.18.4 | 12 | 7.6 | odd | 2 | |||
49.12.c.i.30.4 | 12 | 7.5 | odd | 6 | |||
63.12.e.b.37.3 | 12 | 21.2 | odd | 6 | |||
63.12.e.b.46.3 | 12 | 3.2 | odd | 2 | |||
112.12.i.c.65.3 | 12 | 28.23 | odd | 6 | |||
112.12.i.c.81.3 | 12 | 4.3 | odd | 2 |