Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [42,9,Mod(19,42)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(42, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 5]))
N = Newforms(chi, 9, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("42.19");
S:= CuspForms(chi, 9);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 42 = 2 \cdot 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 9 \) |
Character orbit: | \([\chi]\) | \(=\) | 42.g (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: | \(17.1099016226\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{8} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - 2x^{7} + 243x^{6} - 2x^{5} + 49033x^{4} - 23088x^{3} + 2105352x^{2} + 2056320x + 73410624 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{10}\cdot 3^{2}\cdot 7^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 31.2 | ||
Root | \(-3.06219 + 5.30387i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 42.31 |
Dual form | 42.9.g.a.19.2 |
$q$-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 \(\left(\mathbb{Z}/42\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(31\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −5.65685 | − | 9.79796i | −0.353553 | − | 0.612372i | ||||
\(3\) | 40.5000 | + | 23.3827i | 0.500000 | + | 0.288675i | ||||
\(4\) | −64.0000 | + | 110.851i | −0.250000 | + | 0.433013i | ||||
\(5\) | 198.356 | − | 114.521i | 0.317370 | − | 0.183234i | −0.332850 | − | 0.942980i | \(-0.608010\pi\) |
0.650220 | + | 0.759746i | \(0.274677\pi\) | |||||||
\(6\) | − | 529.090i | − | 0.408248i | ||||||
\(7\) | −2266.33 | + | 792.819i | −0.943910 | + | 0.330204i | ||||
\(8\) | 1448.15 | 0.353553 | ||||||||
\(9\) | 1093.50 | + | 1894.00i | 0.166667 | + | 0.288675i | ||||
\(10\) | −2244.14 | − | 1295.66i | −0.224414 | − | 0.129566i | ||||
\(11\) | −2681.51 | + | 4644.51i | −0.183151 | + | 0.317226i | −0.942952 | − | 0.332929i | \(-0.891963\pi\) |
0.759801 | + | 0.650155i | \(0.225296\pi\) | |||||||
\(12\) | −5184.00 | + | 2992.98i | −0.250000 | + | 0.144338i | ||||
\(13\) | − | 55774.8i | − | 1.95283i | −0.215901 | − | 0.976415i | \(-0.569269\pi\) | ||
0.215901 | − | 0.976415i | \(-0.430731\pi\) | |||||||
\(14\) | 20588.3 | + | 17720.5i | 0.535930 | + | 0.461280i | ||||
\(15\) | 10711.2 | 0.211580 | ||||||||
\(16\) | −8192.00 | − | 14189.0i | −0.125000 | − | 0.216506i | ||||
\(17\) | −85725.7 | − | 49493.7i | −1.02640 | − | 0.592590i | −0.110446 | − | 0.993882i | \(-0.535228\pi\) |
−0.915950 | + | 0.401292i | \(0.868561\pi\) | |||||||
\(18\) | 12371.5 | − | 21428.1i | 0.117851 | − | 0.204124i | ||||
\(19\) | −78930.9 | + | 45570.8i | −0.605665 | + | 0.349681i | −0.771267 | − | 0.636512i | \(-0.780377\pi\) |
0.165602 | + | 0.986193i | \(0.447043\pi\) | |||||||
\(20\) | 29317.4i | 0.183234i | ||||||||
\(21\) | −110324. | − | 20883.6i | −0.567276 | − | 0.107381i | ||||
\(22\) | 60675.6 | 0.259014 | ||||||||
\(23\) | 26885.7 | + | 46567.5i | 0.0960750 | + | 0.166407i | 0.910057 | − | 0.414484i | \(-0.136038\pi\) |
−0.813982 | + | 0.580890i | \(0.802704\pi\) | |||||||
\(24\) | 58650.3 | + | 33861.7i | 0.176777 | + | 0.102062i | ||||
\(25\) | −169082. | + | 292859.i | −0.432851 | + | 0.749720i | ||||
\(26\) | −546479. | + | 315510.i | −1.19586 | + | 0.690430i | ||||
\(27\) | 102276.i | 0.192450i | ||||||||
\(28\) | 57159.9 | − | 301966.i | 0.0929949 | − | 0.491276i | ||||
\(29\) | −1.32881e6 | −1.87876 | −0.939379 | − | 0.342880i | \(-0.888597\pi\) | ||||
−0.939379 | + | 0.342880i | \(0.888597\pi\) | |||||||
\(30\) | −60591.9 | − | 104948.i | −0.0748048 | − | 0.129566i | ||||
\(31\) | −897669. | − | 518270.i | −0.972007 | − | 0.561189i | −0.0721597 | − | 0.997393i | \(-0.522989\pi\) |
−0.899848 | + | 0.436204i | \(0.856322\pi\) | |||||||
\(32\) | −92681.9 | + | 160530.i | −0.0883883 | + | 0.153093i | ||||
\(33\) | −217202. | + | 125402.i | −0.183151 | + | 0.105742i | ||||
\(34\) | 1.11992e6i | 0.838049i | ||||||||
\(35\) | −358745. | + | 416803.i | −0.239064 | + | 0.277753i | ||||
\(36\) | −279936. | −0.166667 | ||||||||
\(37\) | −11331.2 | − | 19626.2i | −0.00604602 | − | 0.0104720i | 0.862987 | − | 0.505227i | \(-0.168591\pi\) |
−0.869033 | + | 0.494755i | \(0.835258\pi\) | |||||||
\(38\) | 893001. | + | 515575.i | 0.428270 | + | 0.247262i | ||||
\(39\) | 1.30416e6 | − | 2.25888e6i | 0.563734 | − | 0.976415i | ||||
\(40\) | 287250. | − | 165844.i | 0.112207 | − | 0.0647828i | ||||
\(41\) | − | 2.91739e6i | − | 1.03243i | −0.856460 | − | 0.516213i | \(-0.827341\pi\) | ||
0.856460 | − | 0.516213i | \(-0.172659\pi\) | |||||||
\(42\) | 419473. | + | 1.19909e6i | 0.134805 | + | 0.385349i | ||||
\(43\) | 4.71324e6 | 1.37862 | 0.689312 | − | 0.724464i | \(-0.257913\pi\) | ||||
0.689312 | + | 0.724464i | \(0.257913\pi\) | |||||||
\(44\) | −343233. | − | 594497.i | −0.0915753 | − | 0.158613i | ||||
\(45\) | 433805. | + | 250457.i | 0.105790 | + | 0.0610779i | ||||
\(46\) | 304177. | − | 526851.i | 0.0679353 | − | 0.117667i | ||||
\(47\) | −6.68209e6 | + | 3.85791e6i | −1.36937 | + | 0.790607i | −0.990848 | − | 0.134985i | \(-0.956901\pi\) |
−0.378523 | + | 0.925592i | \(0.623568\pi\) | |||||||
\(48\) | − | 766204.i | − | 0.144338i | ||||||
\(49\) | 4.50768e6 | − | 3.59358e6i | 0.781931 | − | 0.623365i | ||||
\(50\) | 3.82590e6 | 0.612144 | ||||||||
\(51\) | −2.31459e6 | − | 4.00899e6i | −0.342132 | − | 0.592590i | ||||
\(52\) | 6.18271e6 | + | 3.56959e6i | 0.845600 | + | 0.488208i | ||||
\(53\) | 2.74030e6 | − | 4.74633e6i | 0.347291 | − | 0.601526i | −0.638476 | − | 0.769642i | \(-0.720435\pi\) |
0.985767 | + | 0.168116i | \(0.0537682\pi\) | |||||||
\(54\) | 1.00209e6 | − | 578560.i | 0.117851 | − | 0.0680414i | ||||
\(55\) | 1.22836e6i | 0.134237i | ||||||||
\(56\) | −3.28199e6 | + | 1.14813e6i | −0.333722 | + | 0.116745i | ||||
\(57\) | −4.26227e6 | −0.403777 | ||||||||
\(58\) | 7.51688e6 | + | 1.30196e7i | 0.664241 | + | 1.15050i | ||||
\(59\) | 7.35698e6 | + | 4.24755e6i | 0.607143 | + | 0.350534i | 0.771847 | − | 0.635809i | \(-0.219333\pi\) |
−0.164703 | + | 0.986343i | \(0.552667\pi\) | |||||||
\(60\) | −685519. | + | 1.18735e6i | −0.0528950 | + | 0.0916168i | ||||
\(61\) | 3.06956e6 | − | 1.77221e6i | 0.221696 | − | 0.127996i | −0.385040 | − | 0.922900i | \(-0.625812\pi\) |
0.606735 | + | 0.794904i | \(0.292479\pi\) | |||||||
\(62\) | 1.17271e7i | 0.793641i | ||||||||
\(63\) | −3.97983e6 | − | 3.42547e6i | −0.252640 | − | 0.217449i | ||||
\(64\) | 2.09715e6 | 0.125000 | ||||||||
\(65\) | −6.38738e6 | − | 1.10633e7i | −0.357824 | − | 0.619770i | ||||
\(66\) | 2.45736e6 | + | 1.41876e6i | 0.129507 | + | 0.0747709i | ||||
\(67\) | 4.24118e6 | − | 7.34593e6i | 0.210469 | − | 0.364542i | −0.741393 | − | 0.671071i | \(-0.765834\pi\) |
0.951861 | + | 0.306529i | \(0.0991677\pi\) | |||||||
\(68\) | 1.09729e7 | − | 6.33520e6i | 0.513198 | − | 0.296295i | ||||
\(69\) | 2.51464e6i | 0.110938i | ||||||||
\(70\) | 6.11319e6 | + | 1.15718e6i | 0.254610 | + | 0.0481958i | ||||
\(71\) | −2.14497e7 | −0.844088 | −0.422044 | − | 0.906575i | \(-0.638687\pi\) | ||||
−0.422044 | + | 0.906575i | \(0.638687\pi\) | |||||||
\(72\) | 1.58356e6 | + | 2.74280e6i | 0.0589256 | + | 0.102062i | ||||
\(73\) | 3.42172e7 | + | 1.97553e7i | 1.20491 | + | 0.695652i | 0.961642 | − | 0.274308i | \(-0.0884488\pi\) |
0.243263 | + | 0.969960i | \(0.421782\pi\) | |||||||
\(74\) | −128198. | + | 222045.i | −0.00427518 | + | 0.00740483i | ||||
\(75\) | −1.36957e7 | + | 7.90720e6i | −0.432851 | + | 0.249907i | ||||
\(76\) | − | 1.16661e7i | − | 0.349681i | ||||||
\(77\) | 2.39492e6 | − | 1.26519e7i | 0.0681283 | − | 0.359910i | ||||
\(78\) | −2.95099e7 | −0.797240 | ||||||||
\(79\) | −6.05659e6 | − | 1.04903e7i | −0.155496 | − | 0.269328i | 0.777743 | − | 0.628582i | \(-0.216364\pi\) |
−0.933240 | + | 0.359254i | \(0.883031\pi\) | |||||||
\(80\) | −3.24987e6 | − | 1.87631e6i | −0.0793425 | − | 0.0458084i | ||||
\(81\) | −2.39148e6 | + | 4.14217e6i | −0.0555556 | + | 0.0962250i | ||||
\(82\) | −2.85845e7 | + | 1.65033e7i | −0.632230 | + | 0.365018i | ||||
\(83\) | − | 5.06437e7i | − | 1.06712i | −0.845763 | − | 0.533559i | \(-0.820854\pi\) | ||
0.845763 | − | 0.533559i | \(-0.179146\pi\) | |||||||
\(84\) | 9.37574e6 | − | 1.08931e7i | 0.188317 | − | 0.218793i | ||||
\(85\) | −2.26723e7 | −0.434330 | ||||||||
\(86\) | −2.66621e7 | − | 4.61802e7i | −0.487417 | − | 0.844232i | ||||
\(87\) | −5.38168e7 | − | 3.10711e7i | −0.939379 | − | 0.542351i | ||||
\(88\) | −3.88324e6 | + | 6.72597e6i | −0.0647535 | + | 0.112156i | ||||
\(89\) | −5.21951e7 | + | 3.01348e7i | −0.831897 | + | 0.480296i | −0.854502 | − | 0.519448i | \(-0.826137\pi\) |
0.0226047 | + | 0.999744i | \(0.492804\pi\) | |||||||
\(90\) | − | 5.66720e6i | − | 0.0863771i | ||||||
\(91\) | 4.42193e7 | + | 1.26404e8i | 0.644832 | + | 1.84330i | ||||
\(92\) | −6.88275e6 | −0.0960750 | ||||||||
\(93\) | −2.42371e7 | − | 4.19798e7i | −0.324002 | − | 0.561189i | ||||
\(94\) | 7.55993e7 | + | 4.36473e7i | 0.968292 | + | 0.559043i | ||||
\(95\) | −1.04376e7 | + | 1.80785e7i | −0.128147 | + | 0.221956i | ||||
\(96\) | −7.50723e6 | + | 4.33430e6i | −0.0883883 | + | 0.0510310i | ||||
\(97\) | 1.77657e7i | 0.200676i | 0.994953 | + | 0.100338i | \(0.0319924\pi\) | ||||
−0.994953 | + | 0.100338i | \(0.968008\pi\) | |||||||
\(98\) | −6.07090e7 | − | 2.38377e7i | −0.658186 | − | 0.258440i | ||||
\(99\) | −1.17289e7 | −0.122100 | ||||||||
\(100\) | −2.16425e7 | − | 3.74860e7i | −0.216425 | − | 0.374860i | ||||
\(101\) | 5.90802e7 | + | 3.41100e7i | 0.567749 | + | 0.327790i | 0.756250 | − | 0.654283i | \(-0.227029\pi\) |
−0.188501 | + | 0.982073i | \(0.560363\pi\) | |||||||
\(102\) | −2.61866e7 | + | 4.53566e7i | −0.241924 | + | 0.419025i | ||||
\(103\) | 4.21424e7 | − | 2.43309e7i | 0.374430 | − | 0.216177i | −0.300962 | − | 0.953636i | \(-0.597308\pi\) |
0.675392 | + | 0.737459i | \(0.263974\pi\) | |||||||
\(104\) | − | 8.07705e7i | − | 0.690430i | ||||||
\(105\) | −2.42752e7 | + | 8.49207e6i | −0.199712 | + | 0.0698645i | ||||
\(106\) | −6.20058e7 | −0.491144 | ||||||||
\(107\) | 9.53521e7 | + | 1.65155e8i | 0.727436 | + | 1.25996i | 0.957963 | + | 0.286891i | \(0.0926217\pi\) |
−0.230527 | + | 0.973066i | \(0.574045\pi\) | |||||||
\(108\) | −1.13374e7 | − | 6.54566e6i | −0.0833333 | − | 0.0481125i | ||||
\(109\) | 5.18074e7 | − | 8.97330e7i | 0.367016 | − | 0.635691i | −0.622081 | − | 0.782953i | \(-0.713713\pi\) |
0.989098 | + | 0.147262i | \(0.0470459\pi\) | |||||||
\(110\) | 1.20354e7 | − | 6.94863e6i | 0.0822032 | − | 0.0474601i | ||||
\(111\) | − | 1.05982e6i | − | 0.00698134i | ||||||
\(112\) | 2.98150e7 | + | 2.56620e7i | 0.189480 | + | 0.163087i | ||||
\(113\) | −2.55956e8 | −1.56983 | −0.784914 | − | 0.619605i | \(-0.787293\pi\) | ||||
−0.784914 | + | 0.619605i | \(0.787293\pi\) | |||||||
\(114\) | 2.41110e7 | + | 4.17615e7i | 0.142757 | + | 0.247262i | ||||
\(115\) | 1.06659e7 | + | 6.15796e6i | 0.0609826 | + | 0.0352083i | ||||
\(116\) | 8.50438e7 | − | 1.47300e8i | 0.469690 | − | 0.813526i | ||||
\(117\) | 1.05637e8 | − | 6.09897e7i | 0.563734 | − | 0.325472i | ||||
\(118\) | − | 9.61111e7i | − | 0.495731i | ||||||
\(119\) | 2.33522e8 | + | 4.42040e7i | 1.16450 | + | 0.220432i | ||||
\(120\) | 1.55115e7 | 0.0748048 | ||||||||
\(121\) | 9.27985e7 | + | 1.60732e8i | 0.432912 | + | 0.749825i | ||||
\(122\) | −3.47281e7 | − | 2.00503e7i | −0.156763 | − | 0.0905069i | ||||
\(123\) | 6.82164e7 | − | 1.18154e8i | 0.298036 | − | 0.516213i | ||||
\(124\) | 1.14902e8 | − | 6.63385e7i | 0.486004 | − | 0.280594i | ||||
\(125\) | 1.66923e8i | 0.683718i | ||||||||
\(126\) | −1.10493e7 | + | 5.83716e7i | −0.0438382 | + | 0.231590i | ||||
\(127\) | 2.01146e8 | 0.773207 | 0.386603 | − | 0.922246i | \(-0.373648\pi\) | ||||
0.386603 | + | 0.922246i | \(0.373648\pi\) | |||||||
\(128\) | −1.18633e7 | − | 2.05478e7i | −0.0441942 | − | 0.0765466i | ||||
\(129\) | 1.90886e8 | + | 1.10208e8i | 0.689312 | + | 0.397975i | ||||
\(130\) | −7.22650e7 | + | 1.25167e8i | −0.253020 | + | 0.438243i | ||||
\(131\) | −3.01124e7 | + | 1.73854e7i | −0.102249 | + | 0.0590337i | −0.550253 | − | 0.834998i | \(-0.685469\pi\) |
0.448003 | + | 0.894032i | \(0.352135\pi\) | |||||||
\(132\) | − | 3.21028e7i | − | 0.105742i | ||||||
\(133\) | 1.42754e8 | − | 1.65856e8i | 0.456227 | − | 0.530060i | ||||
\(134\) | −9.59669e7 | −0.297647 | ||||||||
\(135\) | 1.17127e7 | + | 2.02870e7i | 0.0352633 | + | 0.0610779i | ||||
\(136\) | −1.24144e8 | − | 7.16746e7i | −0.362886 | − | 0.209512i | ||||
\(137\) | −2.67164e7 | + | 4.62741e7i | −0.0758395 | + | 0.131358i | −0.901451 | − | 0.432881i | \(-0.857497\pi\) |
0.825612 | + | 0.564239i | \(0.190830\pi\) | |||||||
\(138\) | 2.46384e7 | − | 1.42250e7i | 0.0679353 | − | 0.0392225i | ||||
\(139\) | − | 7.13368e8i | − | 1.91097i | −0.295037 | − | 0.955486i | \(-0.595332\pi\) | ||
0.295037 | − | 0.955486i | \(-0.404668\pi\) | |||||||
\(140\) | −2.32434e7 | − | 6.64428e7i | −0.0605044 | − | 0.172956i | ||||
\(141\) | −3.60833e8 | −0.912914 | ||||||||
\(142\) | 1.21338e8 | + | 2.10163e8i | 0.298430 | + | 0.516896i | ||||
\(143\) | 2.59046e8 | + | 1.49561e8i | 0.619489 | + | 0.357662i | ||||
\(144\) | 1.79159e7 | − | 3.10313e7i | 0.0416667 | − | 0.0721688i | ||||
\(145\) | −2.63578e8 | + | 1.52177e8i | −0.596261 | + | 0.344252i | ||||
\(146\) | − | 4.47011e8i | − | 0.983801i | ||||||
\(147\) | 2.66588e8 | − | 4.01383e7i | 0.570915 | − | 0.0859586i | ||||
\(148\) | 2.90079e6 | 0.00604602 | ||||||||
\(149\) | 2.18921e8 | + | 3.79183e8i | 0.444163 | + | 0.769314i | 0.997994 | − | 0.0633161i | \(-0.0201676\pi\) |
−0.553830 | + | 0.832630i | \(0.686834\pi\) | |||||||
\(150\) | 1.54949e8 | + | 8.94598e7i | 0.306072 | + | 0.176711i | ||||
\(151\) | −2.09026e8 | + | 3.62043e8i | −0.402061 | + | 0.696390i | −0.993975 | − | 0.109611i | \(-0.965039\pi\) |
0.591913 | + | 0.806002i | \(0.298373\pi\) | |||||||
\(152\) | −1.14304e8 | + | 6.59935e7i | −0.214135 | + | 0.123631i | ||||
\(153\) | − | 2.16486e8i | − | 0.395060i | ||||||
\(154\) | −1.37511e8 | + | 4.81048e7i | −0.244486 | + | 0.0855274i | ||||
\(155\) | −2.37411e8 | −0.411314 | ||||||||
\(156\) | 1.66933e8 | + | 2.89137e8i | 0.281867 | + | 0.488208i | ||||
\(157\) | −8.79971e8 | − | 5.08051e8i | −1.44834 | − | 0.836198i | −0.449955 | − | 0.893051i | \(-0.648560\pi\) |
−0.998383 | + | 0.0568534i | \(0.981893\pi\) | |||||||
\(158\) | −6.85225e7 | + | 1.18685e8i | −0.109952 | + | 0.190443i | ||||
\(159\) | 2.21964e8 | − | 1.28151e8i | 0.347291 | − | 0.200509i | ||||
\(160\) | 4.24561e7i | 0.0647828i | ||||||||
\(161\) | −9.78515e7 | − | 8.42216e7i | −0.145634 | − | 0.125349i | ||||
\(162\) | 5.41131e7 | 0.0785674 | ||||||||
\(163\) | 5.58144e7 | + | 9.66734e7i | 0.0790672 | + | 0.136948i | 0.902848 | − | 0.429960i | \(-0.141473\pi\) |
−0.823781 | + | 0.566909i | \(0.808139\pi\) | |||||||
\(164\) | 3.23396e8 | + | 1.86713e8i | 0.447054 | + | 0.258107i | ||||
\(165\) | −2.87223e7 | + | 4.97484e7i | −0.0387510 | + | 0.0671187i | ||||
\(166\) | −4.96205e8 | + | 2.86484e8i | −0.653474 | + | 0.377283i | ||||
\(167\) | 2.99845e8i | 0.385506i | 0.981247 | + | 0.192753i | \(0.0617417\pi\) | ||||
−0.981247 | + | 0.192753i | \(0.938258\pi\) | |||||||
\(168\) | −1.59767e8 | − | 3.02427e7i | −0.200563 | − | 0.0379650i | ||||
\(169\) | −2.29510e9 | −2.81355 | ||||||||
\(170\) | 1.28254e8 | + | 2.22142e8i | 0.153559 | + | 0.265972i | ||||
\(171\) | −1.72622e8 | − | 9.96633e7i | −0.201888 | − | 0.116560i | ||||
\(172\) | −3.01648e8 | + | 5.22469e8i | −0.344656 | + | 0.596962i | ||||
\(173\) | −5.86489e8 | + | 3.38610e8i | −0.654750 | + | 0.378020i | −0.790274 | − | 0.612754i | \(-0.790062\pi\) |
0.135524 | + | 0.990774i | \(0.456728\pi\) | |||||||
\(174\) | 7.03060e8i | 0.767000i | ||||||||
\(175\) | 1.51011e8 | − | 7.97767e8i | 0.161012 | − | 0.850597i | ||||
\(176\) | 8.78676e7 | 0.0915753 | ||||||||
\(177\) | 1.98638e8 | + | 3.44052e8i | 0.202381 | + | 0.350534i | ||||
\(178\) | 5.90520e8 | + | 3.40937e8i | 0.588240 | + | 0.339621i | ||||
\(179\) | −1.05589e8 | + | 1.82886e8i | −0.102851 | + | 0.178143i | −0.912858 | − | 0.408277i | \(-0.866130\pi\) |
0.810007 | + | 0.586420i | \(0.199463\pi\) | |||||||
\(180\) | −5.55270e7 | + | 3.20585e7i | −0.0528950 | + | 0.0305389i | ||||
\(181\) | − | 1.76472e9i | − | 1.64423i | −0.569323 | − | 0.822114i | \(-0.692795\pi\) | ||
0.569323 | − | 0.822114i | \(-0.307205\pi\) | |||||||
\(182\) | 9.88358e8 | − | 1.14831e9i | 0.900801 | − | 1.04658i | ||||
\(183\) | 1.65756e8 | 0.147797 | ||||||||
\(184\) | 3.89347e7 | + | 6.74369e7i | 0.0339677 | + | 0.0588337i | ||||
\(185\) | −4.49523e6 | − | 2.59532e6i | −0.00383765 | − | 0.00221567i | ||||
\(186\) | −2.74211e8 | + | 4.74948e8i | −0.229104 | + | 0.396820i | ||||
\(187\) | 4.59748e8 | − | 2.65436e8i | 0.375970 | − | 0.217067i | ||||
\(188\) | − | 9.87625e8i | − | 0.790607i | ||||||
\(189\) | −8.10863e7 | − | 2.31791e8i | −0.0635478 | − | 0.181655i | ||||
\(190\) | 2.36176e8 | 0.181227 | ||||||||
\(191\) | 6.96035e7 | + | 1.20557e8i | 0.0522995 | + | 0.0905854i | 0.890990 | − | 0.454023i | \(-0.150012\pi\) |
−0.838690 | + | 0.544608i | \(0.816678\pi\) | |||||||
\(192\) | 8.49347e7 | + | 4.90370e7i | 0.0625000 | + | 0.0360844i | ||||
\(193\) | −6.12057e8 | + | 1.06011e9i | −0.441126 | + | 0.764052i | −0.997773 | − | 0.0666965i | \(-0.978754\pi\) |
0.556647 | + | 0.830749i | \(0.312087\pi\) | |||||||
\(194\) | 1.74067e8 | − | 1.00498e8i | 0.122888 | − | 0.0709495i | ||||
\(195\) | − | 5.97417e8i | − | 0.413180i | ||||||
\(196\) | 1.09861e8 | + | 7.29670e8i | 0.0744424 | + | 0.494427i | ||||
\(197\) | 1.16668e9 | 0.774615 | 0.387307 | − | 0.921951i | \(-0.373405\pi\) | ||||
0.387307 | + | 0.921951i | \(0.373405\pi\) | |||||||
\(198\) | 6.63488e7 | + | 1.14919e8i | 0.0431690 | + | 0.0747709i | ||||
\(199\) | 5.25369e7 | + | 3.03322e7i | 0.0335006 | + | 0.0193416i | 0.516657 | − | 0.856193i | \(-0.327176\pi\) |
−0.483156 | + | 0.875534i | \(0.660510\pi\) | |||||||
\(200\) | −2.44857e8 | + | 4.24106e8i | −0.153036 | + | 0.265066i | ||||
\(201\) | 3.43535e8 | − | 1.98340e8i | 0.210469 | − | 0.121514i | ||||
\(202\) | − | 7.71820e8i | − | 0.463565i | ||||||
\(203\) | 3.01152e9 | − | 1.05351e9i | 1.77338 | − | 0.620373i | ||||
\(204\) | 5.92536e8 | 0.342132 | ||||||||
\(205\) | −3.34102e8 | − | 5.78682e8i | −0.189175 | − | 0.327661i | ||||
\(206\) | −4.76787e8 | − | 2.75273e8i | −0.264762 | − | 0.152860i | ||||
\(207\) | −5.87991e7 | + | 1.01843e8i | −0.0320250 | + | 0.0554690i | ||||
\(208\) | −7.91386e8 | + | 4.56907e8i | −0.422800 | + | 0.244104i | ||||
\(209\) | − | 4.88794e8i | − | 0.256177i | ||||||
\(210\) | 2.20526e8 | + | 1.89809e8i | 0.113392 | + | 0.0975975i | ||||
\(211\) | 1.27077e9 | 0.641118 | 0.320559 | − | 0.947229i | \(-0.396129\pi\) | ||||
0.320559 | + | 0.947229i | \(0.396129\pi\) | |||||||
\(212\) | 3.50758e8 | + | 6.07530e8i | 0.173646 | + | 0.300763i | ||||
\(213\) | −8.68712e8 | − | 5.01551e8i | −0.422044 | − | 0.243667i | ||||
\(214\) | 1.07879e9 | − | 1.86851e9i | 0.514375 | − | 0.890924i | ||||
\(215\) | 9.34901e8 | − | 5.39765e8i | 0.437534 | − | 0.252610i | ||||
\(216\) | 1.48111e8i | 0.0680414i | ||||||||
\(217\) | 2.44531e9 | + | 4.62879e8i | 1.10279 | + | 0.208751i | ||||
\(218\) | −1.17227e9 | −0.519040 | ||||||||
\(219\) | 9.23864e8 | + | 1.60018e9i | 0.401635 | + | 0.695652i | ||||
\(220\) | −1.36165e8 | − | 7.86148e7i | −0.0581265 | − | 0.0335593i | ||||
\(221\) | −2.76050e9 | + | 4.78133e9i | −1.15723 | + | 2.00438i | ||||
\(222\) | −1.03840e7 | + | 5.99523e6i | −0.00427518 | + | 0.00246828i | ||||
\(223\) | − | 3.30814e8i | − | 0.133772i | −0.997761 | − | 0.0668858i | \(-0.978694\pi\) | ||
0.997761 | − | 0.0668858i | \(-0.0213063\pi\) | |||||||
\(224\) | 8.27764e7 | − | 4.37293e8i | 0.0328787 | − | 0.173692i | ||||
\(225\) | −7.39566e8 | −0.288567 | ||||||||
\(226\) | 1.44791e9 | + | 2.50785e9i | 0.555018 | + | 0.961319i | ||||
\(227\) | 3.24822e9 | + | 1.87536e9i | 1.22332 | + | 0.706287i | 0.965625 | − | 0.259938i | \(-0.0837022\pi\) |
0.257699 | + | 0.966225i | \(0.417036\pi\) | |||||||
\(228\) | 2.72785e8 | − | 4.72478e8i | 0.100944 | − | 0.174841i | ||||
\(229\) | 1.60970e8 | − | 9.29359e7i | 0.0585332 | − | 0.0337942i | −0.470448 | − | 0.882428i | \(-0.655908\pi\) |
0.528981 | + | 0.848634i | \(0.322574\pi\) | |||||||
\(230\) | − | 1.39339e8i | − | 0.0497921i | ||||||
\(231\) | 3.92830e8 | − | 4.56403e8i | 0.137961 | − | 0.160288i | ||||
\(232\) | −1.92432e9 | −0.664241 | ||||||||
\(233\) | −1.24296e9 | − | 2.15286e9i | −0.421728 | − | 0.730454i | 0.574381 | − | 0.818588i | \(-0.305243\pi\) |
−0.996109 | + | 0.0881344i | \(0.971910\pi\) | |||||||
\(234\) | −1.19515e9 | − | 6.90020e8i | −0.398620 | − | 0.230143i | ||||
\(235\) | −8.83623e8 | + | 1.53048e9i | −0.289731 | + | 0.501829i | ||||
\(236\) | −9.41693e8 | + | 5.43687e8i | −0.303572 | + | 0.175267i | ||||
\(237\) | − | 5.66478e8i | − | 0.179552i | ||||||
\(238\) | −8.87891e8 | − | 2.53809e9i | −0.276727 | − | 0.791043i | ||||
\(239\) | −5.77097e9 | −1.76871 | −0.884356 | − | 0.466812i | \(-0.845402\pi\) | ||||
−0.884356 | + | 0.466812i | \(0.845402\pi\) | |||||||
\(240\) | −8.77464e7 | − | 1.51981e8i | −0.0264475 | − | 0.0458084i | ||||
\(241\) | 2.95932e9 | + | 1.70856e9i | 0.877250 | + | 0.506481i | 0.869751 | − | 0.493491i | \(-0.164280\pi\) |
0.00749929 | + | 0.999972i | \(0.497613\pi\) | |||||||
\(242\) | 1.04989e9 | − | 1.81847e9i | 0.306115 | − | 0.530206i | ||||
\(243\) | −1.93710e8 | + | 1.11839e8i | −0.0555556 | + | 0.0320750i | ||||
\(244\) | 4.53687e8i | 0.127996i | ||||||||
\(245\) | 4.82585e8 | − | 1.22903e9i | 0.133940 | − | 0.341113i | ||||
\(246\) | −1.54356e9 | −0.421486 | ||||||||
\(247\) | 2.54170e9 | + | 4.40236e9i | 0.682868 | + | 1.18276i | ||||
\(248\) | −1.29996e9 | − | 7.50534e8i | −0.343656 | − | 0.198410i | ||||
\(249\) | 1.18418e9 | − | 2.05107e9i | 0.308051 | − | 0.533559i | ||||
\(250\) | 1.63551e9 | − | 9.44262e8i | 0.418690 | − | 0.241731i | ||||
\(251\) | 9.64717e8i | 0.243055i | 0.992588 | + | 0.121528i | \(0.0387793\pi\) | ||||
−0.992588 | + | 0.121528i | \(0.961221\pi\) | |||||||
\(252\) | 6.34427e8 | − | 2.21939e8i | 0.157318 | − | 0.0550340i | ||||
\(253\) | −2.88377e8 | −0.0703848 | ||||||||
\(254\) | −1.13785e9 | − | 1.97082e9i | −0.273370 | − | 0.473491i | ||||
\(255\) | −9.18228e8 | − | 5.30139e8i | −0.217165 | − | 0.125380i | ||||
\(256\) | −1.34218e8 | + | 2.32472e8i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −4.71005e9 | + | 2.71935e9i | −1.07967 | + | 0.623350i | −0.930809 | − | 0.365507i | \(-0.880896\pi\) |
−0.148866 | + | 0.988857i | \(0.547562\pi\) | |||||||
\(258\) | − | 2.49373e9i | − | 0.562821i | ||||||
\(259\) | 4.12403e7 | + | 3.54958e7i | 0.00916479 | + | 0.00788821i | ||||
\(260\) | 1.63517e9 | 0.357824 | ||||||||
\(261\) | −1.45305e9 | − | 2.51676e9i | −0.313126 | − | 0.542351i | ||||
\(262\) | 3.40683e8 | + | 1.96694e8i | 0.0723013 | + | 0.0417432i | ||||
\(263\) | 1.48892e9 | − | 2.57888e9i | 0.311206 | − | 0.539025i | −0.667418 | − | 0.744684i | \(-0.732600\pi\) |
0.978624 | + | 0.205659i | \(0.0659338\pi\) | |||||||
\(264\) | −3.14542e8 | + | 1.81601e8i | −0.0647535 | + | 0.0373855i | ||||
\(265\) | − | 1.25529e9i | − | 0.254542i | ||||||
\(266\) | −2.43259e9 | − | 4.60472e8i | −0.485895 | − | 0.0919764i | ||||
\(267\) | −2.81853e9 | −0.554598 | ||||||||
\(268\) | 5.42871e8 | + | 9.40279e8i | 0.105234 | + | 0.182271i | ||||
\(269\) | −3.58740e9 | − | 2.07119e9i | −0.685127 | − | 0.395558i | 0.116657 | − | 0.993172i | \(-0.462782\pi\) |
−0.801784 | + | 0.597614i | \(0.796116\pi\) | |||||||
\(270\) | 1.32514e8 | − | 2.29522e8i | 0.0249349 | − | 0.0431886i | ||||
\(271\) | 8.82215e9 | − | 5.09347e9i | 1.63568 | − | 0.944358i | 0.653378 | − | 0.757032i | \(-0.273351\pi\) |
0.982298 | − | 0.187326i | \(-0.0599820\pi\) | |||||||
\(272\) | 1.62181e9i | 0.296295i | ||||||||
\(273\) | −1.16478e9 | + | 6.15333e9i | −0.209698 | + | 1.10779i | ||||
\(274\) | 6.04523e8 | 0.107253 | ||||||||
\(275\) | −9.06791e8 | − | 1.57061e9i | −0.158554 | − | 0.274623i | ||||
\(276\) | −2.78751e8 | − | 1.60937e8i | −0.0480375 | − | 0.0277345i | ||||
\(277\) | −3.26174e9 | + | 5.64950e9i | −0.554026 | + | 0.959602i | 0.443952 | + | 0.896051i | \(0.353576\pi\) |
−0.997979 | + | 0.0635514i | \(0.979757\pi\) | |||||||
\(278\) | −6.98955e9 | + | 4.03542e9i | −1.17023 | + | 0.675630i | ||||
\(279\) | − | 2.26691e9i | − | 0.374126i | ||||||
\(280\) | −5.19519e8 | + | 6.03595e8i | −0.0845219 | + | 0.0982004i | ||||
\(281\) | −3.13246e9 | −0.502413 | −0.251206 | − | 0.967934i | \(-0.580827\pi\) | ||||
−0.251206 | + | 0.967934i | \(0.580827\pi\) | |||||||
\(282\) | 2.04118e9 | + | 3.53543e9i | 0.322764 | + | 0.559043i | ||||
\(283\) | −2.21348e9 | − | 1.27796e9i | −0.345089 | − | 0.199237i | 0.317431 | − | 0.948281i | \(-0.397180\pi\) |
−0.662520 | + | 0.749044i | \(0.730513\pi\) | |||||||
\(284\) | 1.37278e9 | − | 2.37772e9i | 0.211022 | − | 0.365501i | ||||
\(285\) | −8.45447e8 | + | 4.88119e8i | −0.128147 | + | 0.0739855i | ||||
\(286\) | − | 3.38417e9i | − | 0.505811i | ||||||
\(287\) | 2.31296e9 | + | 6.61176e9i | 0.340911 | + | 0.974517i | ||||
\(288\) | −4.05391e8 | −0.0589256 | ||||||||
\(289\) | 1.41138e9 | + | 2.44459e9i | 0.202327 | + | 0.350440i | ||||
\(290\) | 2.98204e9 | + | 1.72168e9i | 0.421620 | + | 0.243423i | ||||
\(291\) | −4.15409e8 | + | 7.19510e8i | −0.0579301 | + | 0.100338i | ||||
\(292\) | −4.37980e9 | + | 2.52868e9i | −0.602453 | + | 0.347826i | ||||
\(293\) | − | 8.29811e9i | − | 1.12592i | −0.826483 | − | 0.562962i | \(-0.809662\pi\) | ||
0.826483 | − | 0.562962i | \(-0.190338\pi\) | |||||||
\(294\) | −1.90132e9 | − | 2.38497e9i | −0.254488 | − | 0.319222i | ||||
\(295\) | 1.94574e9 | 0.256919 | ||||||||
\(296\) | −1.64093e7 | − | 2.84218e7i | −0.00213759 | − | 0.00370241i | ||||
\(297\) | −4.75021e8 | − | 2.74254e8i | −0.0610502 | − | 0.0352473i | ||||
\(298\) | 2.47681e9 | − | 4.28996e9i | 0.314071 | − | 0.543987i | ||||
\(299\) | 2.59729e9 | − | 1.49955e9i | 0.324964 | − | 0.187618i | ||||
\(300\) | − | 2.02424e9i | − | 0.249907i | ||||||
\(301\) | −1.06818e10 | + | 3.73675e9i | −1.30130 | + | 0.455227i | ||||
\(302\) | 4.72971e9 | 0.568600 | ||||||||
\(303\) | 1.59517e9 | + | 2.76291e9i | 0.189250 | + | 0.327790i | ||||
\(304\) | 1.29320e9 | + | 7.46632e8i | 0.151416 | + | 0.0874203i | ||||
\(305\) | 4.05911e8 | − | 7.03059e8i | 0.0469063 | − | 0.0812442i | ||||
\(306\) | −2.12112e9 | + | 1.22463e9i | −0.241924 | + | 0.139675i | ||||
\(307\) | 6.23304e9i | 0.701691i | 0.936433 | + | 0.350846i | \(0.114106\pi\) | ||||
−0.936433 | + | 0.350846i | \(0.885894\pi\) | |||||||
\(308\) | 1.24921e9 | + | 1.07520e9i | 0.138813 | + | 0.119478i | ||||
\(309\) | 2.27569e9 | 0.249620 | ||||||||
\(310\) | 1.34300e9 | + | 2.32614e9i | 0.145422 | + | 0.251878i | ||||
\(311\) | 7.96731e9 | + | 4.59993e9i | 0.851668 | + | 0.491711i | 0.861213 | − | 0.508244i | \(-0.169705\pi\) |
−0.00954550 | + | 0.999954i | \(0.503038\pi\) | |||||||
\(312\) | 1.88863e9 | − | 3.27121e9i | 0.199310 | − | 0.345215i | ||||
\(313\) | 6.52348e9 | − | 3.76633e9i | 0.679676 | − | 0.392411i | −0.120057 | − | 0.992767i | \(-0.538308\pi\) |
0.799733 | + | 0.600356i | \(0.204974\pi\) | |||||||
\(314\) | 1.14959e10i | 1.18256i | ||||||||
\(315\) | −1.18171e9 | − | 2.23689e8i | −0.120024 | − | 0.0227197i | ||||
\(316\) | 1.55049e9 | 0.155496 | ||||||||
\(317\) | −7.41798e9 | − | 1.28483e10i | −0.734596 | − | 1.27236i | −0.954900 | − | 0.296926i | \(-0.904038\pi\) |
0.220305 | − | 0.975431i | \(-0.429295\pi\) | |||||||
\(318\) | −2.51123e9 | − | 1.44986e9i | −0.245572 | − | 0.141781i | ||||
\(319\) | 3.56321e9 | − | 6.17167e9i | 0.344096 | − | 0.595991i | ||||
\(320\) | 4.15983e8 | − | 2.40168e8i | 0.0396712 | − | 0.0229042i | ||||
\(321\) | 8.91835e9i | 0.839971i | ||||||||
\(322\) | −2.71668e8 | + | 1.43517e9i | −0.0252706 | + | 0.133500i | ||||
\(323\) | 9.02187e9 | 0.828871 | ||||||||
\(324\) | −3.06110e8 | − | 5.30198e8i | −0.0277778 | − | 0.0481125i | ||||
\(325\) | 1.63342e10 | + | 9.43054e9i | 1.46408 | + | 0.845285i | ||||
\(326\) | 6.31468e8 | − | 1.09374e9i | 0.0559089 | − | 0.0968371i | ||||
\(327\) | 4.19640e9 | − | 2.42279e9i | 0.367016 | − | 0.211897i | ||||
\(328\) | − | 4.22483e9i | − | 0.365018i | ||||||
\(329\) | 1.20852e10 | − | 1.40410e10i | 1.03150 | − | 1.19843i | ||||
\(330\) | 6.49910e8 | 0.0548022 | ||||||||
\(331\) | −8.27229e9 | − | 1.43280e10i | −0.689150 | − | 1.19364i | −0.972113 | − | 0.234513i | \(-0.924651\pi\) |
0.282963 | − | 0.959131i | \(-0.408683\pi\) | |||||||
\(332\) | 5.61391e9 | + | 3.24119e9i | 0.462076 | + | 0.266780i | ||||
\(333\) | 2.47813e7 | − | 4.29226e7i | 0.00201534 | − | 0.00349067i | ||||
\(334\) | 2.93787e9 | − | 1.69618e9i | 0.236073 | − | 0.136297i | ||||
\(335\) | − | 1.94281e9i | − | 0.154260i | ||||||
\(336\) | 6.07461e8 | + | 1.73647e9i | 0.0476608 | + | 0.136242i | ||||
\(337\) | −1.41852e10 | −1.09980 | −0.549902 | − | 0.835229i | \(-0.685335\pi\) | ||||
−0.549902 | + | 0.835229i | \(0.685335\pi\) | |||||||
\(338\) | 1.29830e10 | + | 2.24873e10i | 0.994739 | + | 1.72294i | ||||
\(339\) | −1.03662e10 | − | 5.98495e9i | −0.784914 | − | 0.453170i | ||||
\(340\) | 1.45103e9 | − | 2.51325e9i | 0.108582 | − | 0.188070i | ||||
\(341\) | 4.81421e9 | − | 2.77949e9i | 0.356047 | − | 0.205564i | ||||
\(342\) | 2.25512e9i | 0.164841i | ||||||||
\(343\) | −7.36681e9 | + | 1.17180e10i | −0.532234 | + | 0.846597i | ||||
\(344\) | 6.82551e9 | 0.487417 | ||||||||
\(345\) | 2.87979e8 | + | 4.98795e8i | 0.0203275 | + | 0.0352083i | ||||
\(346\) | 6.63537e9 | + | 3.83093e9i | 0.462978 | + | 0.267301i | ||||
\(347\) | 7.42031e9 | − | 1.28524e10i | 0.511805 | − | 0.886472i | −0.488102 | − | 0.872787i | \(-0.662310\pi\) |
0.999906 | − | 0.0136849i | \(-0.00435617\pi\) | |||||||
\(348\) | 6.88855e9 | − | 3.97711e9i | 0.469690 | − | 0.271175i | ||||
\(349\) | − | 1.29408e9i | − | 0.0872286i | −0.999048 | − | 0.0436143i | \(-0.986113\pi\) | ||
0.999048 | − | 0.0436143i | \(-0.0138873\pi\) | |||||||
\(350\) | −8.67074e9 | + | 3.03325e9i | −0.577808 | + | 0.202132i | ||||
\(351\) | 5.70442e9 | 0.375822 | ||||||||
\(352\) | −4.97054e8 | − | 8.60924e8i | −0.0323768 | − | 0.0560782i | ||||
\(353\) | −1.62211e10 | − | 9.36525e9i | −1.04467 | − | 0.603143i | −0.123521 | − | 0.992342i | \(-0.539419\pi\) |
−0.921154 | + | 0.389199i | \(0.872752\pi\) | |||||||
\(354\) | 2.24734e9 | − | 3.89250e9i | 0.143105 | − | 0.247865i | ||||
\(355\) | −4.25468e9 | + | 2.45644e9i | −0.267888 | + | 0.154665i | ||||
\(356\) | − | 7.71452e9i | − | 0.480296i | ||||||
\(357\) | 8.42403e9 | + | 7.25064e9i | 0.518618 | + | 0.446378i | ||||
\(358\) | 2.38921e9 | 0.145453 | ||||||||
\(359\) | −1.47575e10 | − | 2.55607e10i | −0.888454 | − | 1.53885i | −0.841703 | − | 0.539940i | \(-0.818447\pi\) |
−0.0467503 | − | 0.998907i | \(-0.514887\pi\) | |||||||
\(360\) | 6.28217e8 | + | 3.62701e8i | 0.0374024 | + | 0.0215943i | ||||
\(361\) | −4.33839e9 | + | 7.51431e9i | −0.255446 | + | 0.442446i | ||||
\(362\) | −1.72907e10 | + | 9.98277e9i | −1.00688 | + | 0.581322i | ||||
\(363\) | 8.67951e9i | 0.499883i | ||||||||
\(364\) | −1.68421e10 | − | 3.18808e9i | −0.959378 | − | 0.181603i | ||||
\(365\) | 9.04959e9 | 0.509867 | ||||||||
\(366\) | −9.37660e8 | − | 1.62407e9i | −0.0522542 | − | 0.0905069i | ||||
\(367\) | −2.18997e10 | − | 1.26438e10i | −1.20719 | − | 0.696969i | −0.245042 | − | 0.969513i | \(-0.578802\pi\) |
−0.962143 | + | 0.272544i | \(0.912135\pi\) | |||||||
\(368\) | 4.40496e8 | − | 7.62961e8i | 0.0240188 | − | 0.0416017i | ||||
\(369\) | 5.52553e9 | − | 3.19017e9i | 0.298036 | − | 0.172071i | ||||
\(370\) | 5.87254e7i | 0.00313342i | ||||||||
\(371\) | −2.44742e9 | + | 1.29293e10i | −0.129185 | + | 0.682463i | ||||
\(372\) | 6.20469e9 | 0.324002 | ||||||||
\(373\) | −1.58564e10 | − | 2.74641e10i | −0.819160 | − | 1.41883i | −0.906302 | − | 0.422631i | \(-0.861107\pi\) |
0.0871420 | − | 0.996196i | \(-0.472227\pi\) | |||||||
\(374\) | −5.20146e9 | − | 3.00306e9i | −0.265851 | − | 0.153489i | ||||
\(375\) | −3.90312e9 | + | 6.76040e9i | −0.197373 | + | 0.341859i | ||||
\(376\) | −9.67671e9 | + | 5.58685e9i | −0.484146 | + | 0.279522i | ||||
\(377\) | 7.41141e10i | 3.66890i | ||||||||
\(378\) | −1.81238e9 | + | 2.10569e9i | −0.0887733 | + | 0.103140i | ||||
\(379\) | −4.77654e9 | −0.231503 | −0.115751 | − | 0.993278i | \(-0.536928\pi\) | ||||
−0.115751 | + | 0.993278i | \(0.536928\pi\) | |||||||
\(380\) | −1.33602e9 | − | 2.31405e9i | −0.0640733 | − | 0.110978i | ||||
\(381\) | 8.14640e9 | + | 4.70332e9i | 0.386603 | + | 0.223206i | ||||
\(382\) | 7.87473e8 | − | 1.36394e9i | 0.0369813 | − | 0.0640535i | ||||
\(383\) | −1.00673e10 | + | 5.81236e9i | −0.467862 | + | 0.270120i | −0.715344 | − | 0.698772i | \(-0.753730\pi\) |
0.247482 | + | 0.968892i | \(0.420397\pi\) | |||||||
\(384\) | − | 1.10958e9i | − | 0.0510310i | ||||||
\(385\) | −9.73864e8 | − | 2.78386e9i | −0.0443257 | − | 0.126708i | ||||
\(386\) | 1.38493e10 | 0.623846 | ||||||||
\(387\) | 5.15393e9 | + | 8.92687e9i | 0.229771 | + | 0.397975i | ||||
\(388\) | −1.96935e9 | − | 1.13700e9i | −0.0868951 | − | 0.0501689i | ||||
\(389\) | 1.60070e9 | − | 2.77250e9i | 0.0699056 | − | 0.121080i | −0.828954 | − | 0.559317i | \(-0.811064\pi\) |
0.898860 | + | 0.438237i | \(0.144397\pi\) | |||||||
\(390\) | −5.85347e9 | + | 3.37950e9i | −0.253020 | + | 0.146081i | ||||
\(391\) | − | 5.32270e9i | − | 0.227733i | ||||||
\(392\) | 6.52781e9 | − | 5.20405e9i | 0.276454 | − | 0.220393i | ||||
\(393\) | −1.62607e9 | −0.0681663 | ||||||||
\(394\) | −6.59972e9 | − | 1.14311e10i | −0.273868 | − | 0.474353i | ||||
\(395\) | −2.40273e9 | − | 1.38721e9i | −0.0986997 | − | 0.0569843i | ||||
\(396\) | 7.50651e8 | − | 1.30016e9i | 0.0305251 | − | 0.0528710i | ||||
\(397\) | 2.80910e10 | − | 1.62184e10i | 1.13085 | − | 0.652897i | 0.186702 | − | 0.982417i | \(-0.440220\pi\) |
0.944149 | + | 0.329519i | \(0.106887\pi\) | |||||||
\(398\) | − | 6.86339e8i | − | 0.0273531i | ||||||
\(399\) | 9.65970e9 | − | 3.37921e9i | 0.381129 | − | 0.133329i | ||||
\(400\) | 5.54049e9 | 0.216425 | ||||||||
\(401\) | −6.74502e9 | − | 1.16827e10i | −0.260859 | − | 0.451821i | 0.705611 | − | 0.708599i | \(-0.250672\pi\) |
−0.966470 | + | 0.256778i | \(0.917339\pi\) | |||||||
\(402\) | −3.88666e9 | − | 2.24396e9i | −0.148824 | − | 0.0859234i | ||||
\(403\) | −2.89064e10 | + | 5.00673e10i | −1.09591 | + | 1.89817i | ||||
\(404\) | −7.56226e9 | + | 4.36608e9i | −0.283875 | + | 0.163895i | ||||
\(405\) | 1.09550e9i | 0.0407186i | ||||||||
\(406\) | −2.73579e10 | − | 2.35472e10i | −1.00688 | − | 0.866633i | ||||
\(407\) | 1.21539e8 | 0.00442932 | ||||||||
\(408\) | −3.35189e9 | − | 5.80564e9i | −0.120962 | − | 0.209512i | ||||
\(409\) | −4.16751e9 | − | 2.40612e9i | −0.148931 | − | 0.0859851i | 0.423683 | − | 0.905811i | \(-0.360737\pi\) |
−0.572614 | + | 0.819825i | \(0.694070\pi\) | |||||||
\(410\) | −3.77994e9 | + | 6.54704e9i | −0.133767 | + | 0.231691i | ||||
\(411\) | −2.16403e9 | + | 1.24940e9i | −0.0758395 | + | 0.0437860i | ||||
\(412\) | 6.22872e9i | 0.216177i | ||||||||
\(413\) | −2.00409e10 | − | 3.79359e9i | −0.688836 | − | 0.130392i | ||||
\(414\) | 1.33047e9 | 0.0452902 | ||||||||
\(415\) | −5.79976e9 | − | 1.00455e10i | −0.195532 | − | 0.338671i | ||||
\(416\) | 8.95351e9 | + | 5.16931e9i | 0.298965 | + | 0.172607i | ||||
\(417\) | 1.66805e10 | − | 2.88914e10i | 0.551650 | − | 0.955486i | ||||
\(418\) | −4.78918e9 | + | 2.76503e9i | −0.156876 | + | 0.0905723i | ||||
\(419\) | 2.40256e10i | 0.779505i | 0.920920 | + | 0.389752i | \(0.127439\pi\) | ||||
−0.920920 | + | 0.389752i | \(0.872561\pi\) | |||||||
\(420\) | 6.12253e8 | − | 3.23442e9i | 0.0196759 | − | 0.103944i | ||||
\(421\) | 5.73168e10 | 1.82454 | 0.912270 | − | 0.409589i | \(-0.134328\pi\) | ||||
0.912270 | + | 0.409589i | \(0.134328\pi\) | |||||||
\(422\) | −7.18857e9 | − | 1.24510e10i | −0.226669 | − | 0.392603i | ||||
\(423\) | −1.46137e10 | − | 8.43725e9i | −0.456457 | − | 0.263536i | ||||
\(424\) | 3.96837e9 | − | 6.87342e9i | 0.122786 | − | 0.212672i | ||||
\(425\) | 2.89894e10 | − | 1.67370e10i | 0.888554 | − | 0.513007i | ||||
\(426\) | 1.13488e10i | 0.344597i | ||||||||
\(427\) | −5.55159e9 | + | 6.45002e9i | −0.166996 | + | 0.194021i | ||||
\(428\) | −2.44101e10 | −0.727436 | ||||||||
\(429\) | 6.99425e9 | + | 1.21144e10i | 0.206496 | + | 0.357662i | ||||
\(430\) | −1.05772e10 | − | 6.10675e9i | −0.309383 | − | 0.178622i | ||||
\(431\) | 5.33199e9 | − | 9.23527e9i | 0.154518 | − | 0.267634i | −0.778365 | − | 0.627812i | \(-0.783951\pi\) |
0.932884 | + | 0.360178i | \(0.117284\pi\) | |||||||
\(432\) | 1.45119e9 | − | 8.37844e8i | 0.0416667 | − | 0.0240563i | ||||
\(433\) | 1.43357e10i | 0.407818i | 0.978990 | + | 0.203909i | \(0.0653647\pi\) | ||||
−0.978990 | + | 0.203909i | \(0.934635\pi\) | |||||||
\(434\) | −9.29747e9 | − | 2.65774e10i | −0.262063 | − | 0.749125i | ||||
\(435\) | −1.42332e10 | −0.397507 | ||||||||
\(436\) | 6.63134e9 | + | 1.14858e10i | 0.183508 | + | 0.317846i | ||||
\(437\) | −4.24423e9 | − | 2.45041e9i | −0.116379 | − | 0.0671912i | ||||
\(438\) | 1.04523e10 | − | 1.81040e10i | 0.283999 | − | 0.491900i | ||||
\(439\) | 1.80232e10 | − | 1.04057e10i | 0.485258 | − | 0.280164i | −0.237347 | − | 0.971425i | \(-0.576278\pi\) |
0.722605 | + | 0.691261i | \(0.242944\pi\) | |||||||
\(440\) | 1.77885e9i | 0.0474601i | ||||||||
\(441\) | 1.17354e10 | + | 4.60795e9i | 0.310272 | + | 0.121830i | ||||
\(442\) | 6.24631e10 | 1.63657 | ||||||||
\(443\) | 1.36221e10 | + | 2.35942e10i | 0.353696 | + | 0.612620i | 0.986894 | − | 0.161370i | \(-0.0515913\pi\) |
−0.633198 | + | 0.773990i | \(0.718258\pi\) | |||||||
\(444\) | 1.17482e8 | + | 6.78282e7i | 0.00302301 | + | 0.00174533i | ||||
\(445\) | −6.90214e9 | + | 1.19549e10i | −0.176013 | + | 0.304863i | ||||
\(446\) | −3.24130e9 | + | 1.87136e9i | −0.0819180 | + | 0.0472954i | ||||
\(447\) | 2.04759e10i | 0.512876i | ||||||||
\(448\) | −4.75283e9 | + | 1.66266e9i | −0.117989 | + | 0.0412755i | ||||
\(449\) | 6.25513e10 | 1.53904 | 0.769522 | − | 0.638621i | \(-0.220495\pi\) | ||||
0.769522 | + | 0.638621i | \(0.220495\pi\) | |||||||
\(450\) | 4.18362e9 | + | 7.24624e9i | 0.102024 | + | 0.176711i | ||||
\(451\) | 1.35498e10 | + | 7.82301e9i | 0.327513 | + | 0.189090i | ||||
\(452\) | 1.63812e10 | − | 2.83731e10i | 0.392457 | − | 0.679755i | ||||
\(453\) | −1.69311e10 | + | 9.77517e9i | −0.402061 | + | 0.232130i | ||||
\(454\) | − | 4.24345e10i | − | 0.998840i | ||||||
\(455\) | 2.32471e10 | + | 2.00090e10i | 0.542404 | + | 0.466852i | ||||
\(456\) | −6.17242e9 | −0.142757 | ||||||||
\(457\) | 4.24919e8 | + | 7.35982e8i | 0.00974186 | + | 0.0168734i | 0.870855 | − | 0.491540i | \(-0.163566\pi\) |
−0.861113 | + | 0.508413i | \(0.830232\pi\) | |||||||
\(458\) | −1.82116e9 | − | 1.05145e9i | −0.0413892 | − | 0.0238961i | ||||
\(459\) | 5.06202e9 | − | 8.76767e9i | 0.114044 | − | 0.197530i | ||||
\(460\) | −1.36524e9 | + | 7.88219e8i | −0.0304913 | + | 0.0176042i | ||||
\(461\) | − | 4.68577e10i | − | 1.03747i | −0.854934 | − | 0.518737i | \(-0.826402\pi\) | ||
0.854934 | − | 0.518737i | \(-0.173598\pi\) | |||||||
\(462\) | −6.69400e9 | − | 1.26713e9i | −0.146933 | − | 0.0278133i | ||||
\(463\) | 3.76747e10 | 0.819834 | 0.409917 | − | 0.912123i | \(-0.365558\pi\) | ||||
0.409917 | + | 0.912123i | \(0.365558\pi\) | |||||||
\(464\) | 1.08856e10 | + | 1.88544e10i | 0.234845 | + | 0.406763i | ||||
\(465\) | −9.61514e9 | − | 5.55131e9i | −0.205657 | − | 0.118736i | ||||
\(466\) | −1.40624e10 | + | 2.43569e10i | −0.298206 | + | 0.516509i | ||||
\(467\) | 1.78136e10 | − | 1.02847e10i | 0.374527 | − | 0.216233i | −0.300907 | − | 0.953653i | \(-0.597289\pi\) |
0.675435 | + | 0.737420i | \(0.263956\pi\) | |||||||
\(468\) | 1.56134e10i | 0.325472i | ||||||||
\(469\) | −3.78789e9 | + | 2.00108e10i | −0.0782900 | + | 0.413592i | ||||
\(470\) | 1.99941e10 | 0.409742 | ||||||||
\(471\) | −2.37592e10 | − | 4.11522e10i | −0.482779 | − | 0.836198i | ||||
\(472\) | 1.06540e10 | + | 6.15111e9i | 0.214658 | + | 0.123933i | ||||
\(473\) | −1.26386e10 | + | 2.18907e10i | −0.252496 | + | 0.437336i | ||||
\(474\) | −5.55033e9 | + | 3.20448e9i | −0.109952 | + | 0.0634811i | ||||
\(475\) | − | 3.08209e10i | − | 0.605439i | ||||||
\(476\) | −1.98455e10 | + | 2.30572e10i | −0.386575 | + | 0.449136i | ||||
\(477\) | 1.19861e10 | 0.231528 | ||||||||
\(478\) | 3.26455e10 | + | 5.65437e10i | 0.625334 | + | 1.08311i | ||||
\(479\) | −6.05093e10 | − | 3.49351e10i | −1.14942 | − | 0.663620i | −0.200677 | − | 0.979658i | \(-0.564314\pi\) |
−0.948747 | + | 0.316038i | \(0.897647\pi\) | |||||||
\(480\) | −9.92737e8 | + | 1.71947e9i | −0.0187012 | + | 0.0323914i | ||||
\(481\) | −1.09465e9 | + | 6.31996e8i | −0.0204501 | + | 0.0118068i | ||||
\(482\) | − | 3.86604e10i | − | 0.716272i | ||||||
\(483\) | −1.99366e9 | − | 5.69900e9i | −0.0366321 | − | 0.104715i | ||||
\(484\) | −2.37564e10 | −0.432912 | ||||||||
\(485\) | 2.03454e9 | + | 3.52393e9i | 0.0367705 | + | 0.0636884i | ||||
\(486\) | 2.19158e9 | + | 1.26531e9i | 0.0392837 | + | 0.0226805i | ||||
\(487\) | −2.69794e10 | + | 4.67297e10i | −0.479641 | + | 0.830763i | −0.999727 | − | 0.0233510i | \(-0.992566\pi\) |
0.520086 | + | 0.854114i | \(0.325900\pi\) | |||||||
\(488\) | 4.44520e9 | − | 2.56644e9i | 0.0783813 | − | 0.0452534i | ||||
\(489\) | 5.22037e9i | 0.0912989i | ||||||||
\(490\) | −1.47719e10 | + | 2.22410e9i | −0.256243 | + | 0.0385807i | ||||
\(491\) | −8.79465e10 | −1.51319 | −0.756594 | − | 0.653885i | \(-0.773138\pi\) | ||||
−0.756594 | + | 0.653885i | \(0.773138\pi\) | |||||||
\(492\) | 8.73170e9 | + | 1.51238e10i | 0.149018 | + | 0.258107i | ||||
\(493\) | 1.13913e11 | + | 6.57678e10i | 1.92835 | + | 1.11333i | ||||
\(494\) | 2.87561e10 | − | 4.98070e10i | 0.482860 | − | 0.836339i | ||||
\(495\) | −2.32650e9 | + | 1.34321e9i | −0.0387510 | + | 0.0223729i | ||||
\(496\) | 1.69827e10i | 0.280594i | ||||||||
\(497\) | 4.86120e10 | − | 1.70057e10i | 0.796742 | − | 0.278721i | ||||
\(498\) | −2.67950e10 | −0.435649 | ||||||||
\(499\) | −2.65859e10 | − | 4.60482e10i | −0.428795 | − | 0.742695i | 0.567971 | − | 0.823048i | \(-0.307728\pi\) |
−0.996766 | + | 0.0803533i | \(0.974395\pi\) | |||||||
\(500\) | −1.85037e10 | − | 1.06831e10i | −0.296059 | − | 0.170930i | ||||
\(501\) | −7.01119e9 | + | 1.21437e10i | −0.111286 | + | 0.192753i | ||||
\(502\) | 9.45225e9 | − | 5.45726e9i | 0.148840 | − | 0.0859330i | ||||
\(503\) | 9.27008e10i | 1.44814i | 0.689724 | + | 0.724072i | \(0.257732\pi\) | ||||
−0.689724 | + | 0.724072i | \(0.742268\pi\) | |||||||
\(504\) | −5.76340e9 | − | 4.96061e9i | −0.0893217 | − | 0.0768799i | ||||
\(505\) | 1.56252e10 | 0.240249 | ||||||||
\(506\) | 1.63131e9 | + | 2.82551e9i | 0.0248848 | + | 0.0431017i | ||||
\(507\) | −9.29514e10 | − | 5.36655e10i | −1.40677 | − | 0.812201i | ||||
\(508\) | −1.28733e10 | + | 2.22972e10i | −0.193302 | + | 0.334808i | ||||
\(509\) | −1.00934e10 | + | 5.82744e9i | −0.150372 | + | 0.0868174i | −0.573298 | − | 0.819347i | \(-0.694336\pi\) |
0.422926 | + | 0.906164i | \(0.361003\pi\) | |||||||
\(510\) | 1.19957e10i | 0.177314i | ||||||||
\(511\) | −9.32097e10 | − | 1.76439e10i | −1.36703 | − | 0.258769i | ||||
\(512\) | 3.03700e9 | 0.0441942 | ||||||||
\(513\) | −4.66079e9 | − | 8.07273e9i | −0.0672961 | − | 0.116560i | ||||
\(514\) | 5.32881e10 | + | 3.07659e10i | 0.763445 | + | 0.440775i | ||||
\(515\) | 5.57281e9 | − | 9.65238e9i | 0.0792219 | − | 0.137216i | ||||
\(516\) | −2.44335e10 | + | 1.41067e10i | −0.344656 | + | 0.198987i | ||||
\(517\) | − | 4.13800e10i | − | 0.579200i | ||||||
\(518\) | 1.14497e8 | − | 6.04865e8i | 0.00159028 | − | 0.00840117i | ||||
\(519\) | −3.16704e10 | −0.436500 | ||||||||
\(520\) | −9.24992e9 | − | 1.60213e10i | −0.126510 | − | 0.219122i | ||||
\(521\) | −8.67767e10 | − | 5.01006e10i | −1.17775 | − | 0.679973i | −0.222255 | − | 0.974988i | \(-0.571342\pi\) |
−0.955492 | + | 0.295015i | \(0.904675\pi\) | |||||||
\(522\) | −1.64394e10 | + | 2.84739e10i | −0.221414 | + | 0.383500i | ||||
\(523\) | 2.72478e10 | − | 1.57315e10i | 0.364187 | − | 0.210263i | −0.306729 | − | 0.951797i | \(-0.599235\pi\) |
0.670916 | + | 0.741534i | \(0.265901\pi\) | |||||||
\(524\) | − | 4.45067e9i | − | 0.0590337i | ||||||
\(525\) | 2.47699e10 | − | 2.87785e10i | 0.326052 | − | 0.378818i | ||||
\(526\) | −3.36904e10 | −0.440112 | ||||||||
\(527\) | 5.13022e10 | + | 8.88580e10i | 0.665110 | + | 1.15200i | ||||
\(528\) | 3.55864e9 | + | 2.05458e9i | 0.0457876 | + | 0.0264355i | ||||
\(529\) | 3.77098e10 | − | 6.53153e10i | 0.481539 | − | 0.834050i | ||||
\(530\) | −1.22992e10 | + | 7.10097e9i | −0.155874 | + | 0.0899941i | ||||
\(531\) | 1.85788e10i | 0.233690i | ||||||||
\(532\) | 9.24913e9 | + | 2.64392e10i | 0.115466 | + | 0.330067i | ||||
\(533\) | −1.62717e11 | −2.01615 | ||||||||
\(534\) | 1.59440e10 | + | 2.76159e10i | 0.196080 | + | 0.339621i | ||||
\(535\) | 3.78273e10 | + | 2.18396e10i | 0.461733 | + | 0.266582i | ||||
\(536\) | 6.14188e9 | − | 1.06380e10i | 0.0744119 | − | 0.128885i | ||||
\(537\) | −8.55273e9 | + | 4.93792e9i | −0.102851 | + | 0.0593809i | ||||
\(538\) | 4.68657e10i | 0.559404i | ||||||||
\(539\) | 4.60303e9 | + | 3.05721e10i | 0.0545366 | + | 0.362219i | ||||
\(540\) | −2.99846e9 | −0.0352633 | ||||||||
\(541\) | −1.75184e10 | − | 3.03427e10i | −0.204506 | − | 0.354214i | 0.745470 | − | 0.666540i | \(-0.232225\pi\) |
−0.949975 | + | 0.312326i | \(0.898892\pi\) | |||||||
\(542\) | −9.98112e10 | − | 5.76260e10i | −1.15660 | − | 0.667762i | ||||
\(543\) | 4.12639e10 | − | 7.14712e10i | 0.474648 | − | 0.822114i | ||||
\(544\) | 1.58904e10 | − | 9.17435e9i | 0.181443 | − | 0.104756i | ||||
\(545\) | − | 2.37321e10i | − | 0.268999i | ||||||
\(546\) | 6.68790e10 | − | 2.33960e10i | 0.752522 | − | 0.263252i | ||||
\(547\) | −1.20488e11 | −1.34584 | −0.672922 | − | 0.739714i | \(-0.734961\pi\) | ||||
−0.672922 | + | 0.739714i | \(0.734961\pi\) | |||||||
\(548\) | −3.41970e9 | − | 5.92309e9i | −0.0379197 | − | 0.0656789i | ||||
\(549\) | 6.71313e9 | + | 3.87583e9i | 0.0738986 | + | 0.0426654i | ||||
\(550\) | −1.02592e10 | + | 1.77694e10i | −0.112114 | + | 0.194188i | ||||
\(551\) | 1.04884e11 | − | 6.05549e10i | 1.13790 | − | 0.656966i | ||||
\(552\) | 3.64159e9i | 0.0392225i | ||||||||
\(553\) | 2.20432e10 | + | 1.89727e10i | 0.235707 | + | 0.202875i | ||||
\(554\) | 7.38048e10 | 0.783512 | ||||||||
\(555\) | −1.21371e8 | − | 2.10221e8i | −0.00127922 | − | 0.00221567i | ||||
\(556\) | 7.90777e10 | + | 4.56555e10i | 0.827475 | + | 0.477743i | ||||
\(557\) | −3.56051e10 | + | 6.16698e10i | −0.369906 | + | 0.640696i | −0.989551 | − | 0.144187i | \(-0.953943\pi\) |
0.619645 | + | 0.784883i | \(0.287277\pi\) | |||||||
\(558\) | −2.22111e10 | + | 1.28236e10i | −0.229104 | + | 0.132273i | ||||
\(559\) | − | 2.62880e11i | − | 2.69222i | ||||||
\(560\) | 8.85284e9 | + | 1.67578e9i | 0.0900182 | + | 0.0170398i | ||||
\(561\) | 2.48264e10 | 0.250647 | ||||||||
\(562\) | 1.77199e10 | + | 3.06917e10i | 0.177630 | + | 0.307664i | ||||
\(563\) | 7.96843e10 | + | 4.60057e10i | 0.793120 | + | 0.457908i | 0.841060 | − | 0.540942i | \(-0.181932\pi\) |
−0.0479396 | + | 0.998850i | \(0.515265\pi\) | |||||||
\(564\) | 2.30933e10 | − | 3.99988e10i | 0.228229 | − | 0.395303i | ||||
\(565\) | −5.07705e10 | + | 2.93124e10i | −0.498216 | + | 0.287645i | ||||
\(566\) | 2.89168e10i | 0.281764i | ||||||||
\(567\) | 2.13589e9 | − | 1.12835e10i | 0.0206655 | − | 0.109172i | ||||
\(568\) | −3.10625e10 | −0.298430 | ||||||||
\(569\) | −6.30580e10 | − | 1.09220e11i | −0.601577 | − | 1.04196i | −0.992582 | − | 0.121574i | \(-0.961206\pi\) |
0.391005 | − | 0.920388i | \(-0.372127\pi\) | |||||||
\(570\) | 9.56514e9 | + | 5.52244e9i | 0.0906133 | + | 0.0523156i | ||||
\(571\) | −8.17585e10 | + | 1.41610e11i | −0.769110 | + | 1.33214i | 0.168936 | + | 0.985627i | \(0.445967\pi\) |
−0.938046 | + | 0.346510i | \(0.887367\pi\) | |||||||
\(572\) | −3.31579e10 | + | 1.91437e10i | −0.309744 | + | 0.178831i | ||||
\(573\) | 6.51006e9i | 0.0603902i | ||||||||
\(574\) | 5.16977e10 | − | 6.00641e10i | 0.476237 | − | 0.553309i | ||||
\(575\) | −1.81836e10 | −0.166345 | ||||||||
\(576\) | 2.29324e9 | + | 3.97200e9i | 0.0208333 | + | 0.0360844i | ||||
\(577\) | 9.09364e10 | + | 5.25022e10i | 0.820417 | + | 0.473668i | 0.850560 | − | 0.525878i | \(-0.176263\pi\) |
−0.0301433 | + | 0.999546i | \(0.509596\pi\) | |||||||
\(578\) | 1.59680e10 | − | 2.76573e10i | 0.143067 | − | 0.247799i | ||||
\(579\) | −4.95766e10 | + | 2.86231e10i | −0.441126 | + | 0.254684i | ||||
\(580\) | − | 3.89572e10i | − | 0.344252i | ||||||
\(581\) | 4.01513e10 | + | 1.14775e11i | 0.352367 | + | 1.00726i | ||||
\(582\) | 9.39963e9 | 0.0819255 | ||||||||
\(583\) | 1.46962e10 | + | 2.54546e10i | 0.127213 | + | 0.220340i | ||||
\(584\) | 4.95518e10 | + | 2.86087e10i | 0.425998 | + | 0.245950i | ||||
\(585\) | 1.39692e10 | − | 2.41954e10i | 0.119275 | − | 0.206590i | ||||
\(586\) | −8.13046e10 | + | 4.69412e10i | −0.689484 | + | 0.398074i | ||||
\(587\) | − | 6.19187e10i | − | 0.521519i | −0.965404 | − | 0.260759i | \(-0.916027\pi\) | ||
0.965404 | − | 0.260759i | \(-0.0839729\pi\) | |||||||
\(588\) | −1.26123e10 | + | 3.21205e10i | −0.105508 | + | 0.268703i | ||||
\(589\) | 9.44718e10 | 0.784948 | ||||||||
\(590\) | −1.10067e10 | − | 1.90642e10i | −0.0908345 | − | 0.157330i | ||||
\(591\) | 4.72504e10 | + | 2.72801e10i | 0.387307 | + | 0.223612i | ||||
\(592\) | −1.85650e8 | + | 3.21556e8i | −0.00151150 | + | 0.00261800i | ||||
\(593\) | −1.37618e11 | + | 7.94536e10i | −1.11290 | + | 0.642532i | −0.939578 | − | 0.342334i | \(-0.888783\pi\) |
−0.173320 | + | 0.984866i | \(0.555449\pi\) | |||||||
\(594\) | 6.20565e9i | 0.0498473i | ||||||||
\(595\) | 5.13828e10 | − | 1.79750e10i | 0.409968 | − | 0.143417i | ||||
\(596\) | −5.60438e10 | −0.444163 | ||||||||
\(597\) | 1.41850e9 | + | 2.45691e9i | 0.0111669 | + | 0.0193416i | ||||
\(598\) | −2.93850e10 | − | 1.69654e10i | −0.229785 | − | 0.132666i | ||||
\(599\) | 7.03020e10 | − | 1.21767e11i | 0.546085 | − | 0.945847i | −0.452453 | − | 0.891788i | \(-0.649451\pi\) |
0.998538 | − | 0.0540584i | \(-0.0172157\pi\) | |||||||
\(600\) | −1.98335e10 | + | 1.14508e10i | −0.153036 | + | 0.0883553i | ||||
\(601\) | − | 2.64617e10i | − | 0.202824i | −0.994845 | − | 0.101412i | \(-0.967664\pi\) | ||
0.994845 | − | 0.101412i | \(-0.0323360\pi\) | |||||||
\(602\) | 9.70376e10 | + | 8.35211e10i | 0.738847 | + | 0.635931i | ||||
\(603\) | 1.85509e10 | 0.140312 | ||||||||
\(604\) | −2.67553e10 | − | 4.63416e10i | −0.201031 | − | 0.348195i | ||||
\(605\) | 3.68143e10 | + | 2.12547e10i | 0.274786 | + | 0.158648i | ||||
\(606\) | 1.80472e10 | − | 3.12587e10i | 0.133820 | − | 0.231783i | ||||
\(607\) | 1.13356e11 | − | 6.54461e10i | 0.835006 | − | 0.482091i | −0.0205577 | − | 0.999789i | \(-0.506544\pi\) |
0.855564 | + | 0.517698i | \(0.173211\pi\) | |||||||
\(608\) | − | 1.68943e10i | − | 0.123631i | ||||||
\(609\) | 1.46600e11 | + | 2.77504e10i | 1.06578 | + | 0.201744i | ||||
\(610\) | −9.18472e9 | −0.0663356 | ||||||||
\(611\) | 2.15174e11 | + | 3.72692e11i | 1.54392 | + | 2.67415i | ||||
\(612\) | 2.39977e10 | + | 1.38551e10i | 0.171066 | + | 0.0987651i | ||||
\(613\) | −1.30407e11 | + | 2.25872e11i | −0.923550 | + | 1.59964i | −0.129674 | + | 0.991557i | \(0.541393\pi\) |
−0.793876 | + | 0.608079i | \(0.791940\pi\) | |||||||
\(614\) | 6.10710e10 | − | 3.52594e10i | 0.429697 | − | 0.248085i | ||||
\(615\) | − | 3.12488e10i | − | 0.218441i | ||||||
\(616\) | 3.46821e9 | − | 1.83219e10i | 0.0240870 | − | 0.127247i | ||||
\(617\) | −2.19036e11 | −1.51138 | −0.755691 | − | 0.654928i | \(-0.772699\pi\) | ||||
−0.755691 | + | 0.654928i | \(0.772699\pi\) | |||||||
\(618\) | −1.28733e10 | − | 2.22971e10i | −0.0882540 | − | 0.152860i | ||||
\(619\) | 1.57334e11 | + | 9.08365e10i | 1.07166 | + | 0.618726i | 0.928636 | − | 0.370993i | \(-0.120983\pi\) |
0.143028 | + | 0.989719i | \(0.454316\pi\) | |||||||
\(620\) | 1.51943e10 | − | 2.63173e10i | 0.102829 | − | 0.178104i | ||||
\(621\) | −4.76273e9 | + | 2.74976e9i | −0.0320250 | + | 0.0184897i | ||||
\(622\) | − | 1.04085e11i | − | 0.695384i | ||||||
\(623\) | 9.43996e10 | − | 1.09677e11i | 0.626640 | − | 0.728052i | ||||
\(624\) | −4.27349e10 | −0.281867 | ||||||||
\(625\) | −4.69316e10 | − | 8.12879e10i | −0.307571 | − | 0.532728i | ||||
\(626\) | −7.38047e10 | − | 4.26112e10i | −0.480603 | − | 0.277477i | ||||
\(627\) | 1.14293e10 | − | 1.97961e10i | 0.0739520 | − | 0.128089i | ||||
\(628\) | 1.12636e11 | − | 6.50306e10i | 0.724169 | − | 0.418099i | ||||
\(629\) | 2.24330e9i | 0.0143312i | ||||||||
\(630\) | 4.49307e9 | + | 1.28437e10i | 0.0285221 | + | 0.0815322i | ||||
\(631\) | −1.92621e11 | −1.21502 | −0.607512 | − | 0.794310i | \(-0.707832\pi\) | ||||
−0.607512 | + | 0.794310i | \(0.707832\pi\) | |||||||
\(632\) | −8.77089e9 | − | 1.51916e10i | −0.0549762 | − | 0.0952217i | ||||
\(633\) | 5.14663e10 | + | 2.97141e10i | 0.320559 | + | 0.185075i | ||||
\(634\) | −8.39248e10 | + | 1.45362e11i | −0.519438 | + | 0.899692i | ||||
\(635\) | 3.98985e10 | − | 2.30354e10i | 0.245393 | − | 0.141677i | ||||
\(636\) | 3.28066e10i | 0.200509i | ||||||||
\(637\) | −2.00431e11 | − | 2.51415e11i | −1.21733 | − | 1.52698i | ||||
\(638\) | −8.06263e10 | −0.486625 | ||||||||
\(639\) | −2.34552e10 | − | 4.06257e10i | −0.140681 | − | 0.243667i | ||||
\(640\) | −4.70631e9 | − | 2.71719e9i | −0.0280518 | − | 0.0161957i | ||||
\(641\) | 1.53678e11 | − | 2.66179e11i | 0.910291 | − | 1.57667i | 0.0966388 | − | 0.995320i | \(-0.469191\pi\) |
0.813653 | − | 0.581351i | \(-0.197476\pi\) | |||||||
\(642\) | 8.73816e10 | − | 5.04498e10i | 0.514375 | − | 0.296975i | ||||
\(643\) | − | 8.86136e10i | − | 0.518390i | −0.965825 | − | 0.259195i | \(-0.916543\pi\) | ||
0.965825 | − | 0.259195i | \(-0.0834572\pi\) | |||||||
\(644\) | 1.55986e10 | − | 5.45678e9i | 0.0906862 | − | 0.0317244i | ||||
\(645\) | 5.04846e10 | 0.291689 | ||||||||
\(646\) | −5.10354e10 | − | 8.83960e10i | −0.293050 | − | 0.507577i | ||||
\(647\) | 1.80088e11 | + | 1.03974e11i | 1.02770 | + | 0.593343i | 0.916325 | − | 0.400435i | \(-0.131141\pi\) |
0.111375 | + | 0.993778i | \(0.464474\pi\) | |||||||
\(648\) | −3.46324e9 | + | 5.99851e9i | −0.0196419 | + | 0.0340207i | ||||
\(649\) | −3.94556e10 | + | 2.27797e10i | −0.222397 | + | 0.128401i | ||||
\(650\) | − | 2.13389e11i | − | 1.19541i | ||||||
\(651\) | 8.82116e10 | + | 7.59244e10i | 0.491136 | + | 0.422725i | ||||
\(652\) | −1.42885e10 | −0.0790672 | ||||||||
\(653\) | 7.32026e10 | + | 1.26791e11i | 0.402600 | + | 0.697324i | 0.994039 | − | 0.109026i | \(-0.0347732\pi\) |
−0.591439 | + | 0.806350i | \(0.701440\pi\) | |||||||
\(654\) | −4.74768e10 | − | 2.74108e10i | −0.259520 | − | 0.149834i | ||||
\(655\) | −3.98199e9 | + | 6.89701e9i | −0.0216339 | + | 0.0374711i | ||||
\(656\) | −4.13947e10 | + | 2.38993e10i | −0.223527 | + | 0.129053i | ||||
\(657\) | 8.64097e10i | 0.463768i | ||||||||
\(658\) | −2.05937e11 | − | 3.89824e10i | −1.09858 | − | 0.207953i | ||||
\(659\) | 3.15143e11 | 1.67096 | 0.835480 | − | 0.549521i | \(-0.185190\pi\) | ||||
0.835480 | + | 0.549521i | \(0.185190\pi\) | |||||||
\(660\) | −3.67645e9 | − | 6.36780e9i | −0.0193755 | − | 0.0335593i | ||||
\(661\) | 1.38040e10 | + | 7.96974e9i | 0.0723101 | + | 0.0417483i | 0.535719 | − | 0.844396i | \(-0.320041\pi\) |
−0.463409 | + | 0.886145i | \(0.653374\pi\) | |||||||
\(662\) | −9.35903e10 | + | 1.62103e11i | −0.487303 | + | 0.844033i | ||||
\(663\) | −2.23601e11 | + | 1.29096e11i | −1.15723 | + | 0.668126i | ||||
\(664\) | − | 7.33399e10i | − | 0.377283i | ||||||
\(665\) | 9.32208e9 | − | 4.92469e10i | 0.0476679 | − | 0.251821i | ||||
\(666\) | −5.60738e8 | −0.00285012 | ||||||||
\(667\) | −3.57260e10 | − | 6.18793e10i | −0.180502 | − | 0.312638i | ||||
\(668\) | −3.32382e10 | − | 1.91901e10i | −0.166929 | − | 0.0963766i | ||||
\(669\) | 7.73531e9 | − | 1.33980e10i | 0.0386165 | − | 0.0668858i | ||||
\(670\) | −1.90356e10 | + | 1.09902e10i | −0.0944643 | + | 0.0545390i | ||||
\(671\) | 1.90088e10i | 0.0937702i | ||||||||
\(672\) | 1.35775e10 | − | 1.57748e10i | 0.0665800 | − | 0.0773549i | ||||
\(673\) | −4.43694e10 | −0.216283 | −0.108142 | − | 0.994135i | \(-0.534490\pi\) | ||||
−0.108142 | + | 0.994135i | \(0.534490\pi\) | |||||||
\(674\) | 8.02435e10 | + | 1.38986e11i | 0.388839 | + | 0.673489i | ||||
\(675\) | −2.99524e10 | − | 1.72930e10i | −0.144284 | − | 0.0833022i | ||||
\(676\) | 1.46886e11 | − | 2.54414e11i | 0.703387 | − | 1.21830i | ||||
\(677\) | −6.69597e10 | + | 3.86592e10i | −0.318757 | + | 0.184034i | −0.650838 | − | 0.759216i | \(-0.725582\pi\) |
0.332082 | + | 0.943251i | \(0.392249\pi\) | |||||||
\(678\) | 1.35424e11i | 0.640880i | ||||||||
\(679\) | −1.40850e10 | − | 4.02628e10i | −0.0662639 | − | 0.189420i | ||||
\(680\) | −3.28330e10 | −0.153559 | ||||||||
\(681\) | 8.77019e10 | + | 1.51904e11i | 0.407775 | + | 0.706287i | ||||
\(682\) | −5.44666e10 | − | 3.14463e10i | −0.251764 | − | 0.145356i | ||||
\(683\) | −1.68358e11 | + | 2.91605e11i | −0.773664 | + | 1.34002i | 0.161879 | + | 0.986811i | \(0.448245\pi\) |
−0.935543 | + | 0.353214i | \(0.885089\pi\) | |||||||
\(684\) | 2.20956e10 | − | 1.27569e10i | 0.100944 | − | 0.0582802i | ||||
\(685\) | 1.22383e10i | 0.0555854i | ||||||||
\(686\) | 1.56485e11 | + | 5.89272e9i | 0.706606 | + | 0.0266084i | ||||
\(687\) | 8.69237e9 | 0.0390221 | ||||||||
\(688\) | −3.86109e10 | − | 6.68760e10i | −0.172328 | − | 0.298481i | ||||
\(689\) | −2.64726e11 | − | 1.52839e11i | −1.17468 | − | 0.678201i | ||||
\(690\) | 3.25811e9 | − | 5.64322e9i | 0.0143737 | − | 0.0248961i | ||||
\(691\) | −3.58845e11 | + | 2.07179e11i | −1.57397 | + | 0.908729i | −0.578290 | + | 0.815832i | \(0.696280\pi\) |
−0.995676 | + | 0.0928976i | \(0.970387\pi\) | |||||||
\(692\) | − | 8.66841e10i | − | 0.378020i | ||||||
\(693\) | 2.65816e10 | − | 9.29891e9i | 0.115252 | − | 0.0403180i | ||||
\(694\) | −1.67902e11 | −0.723801 | ||||||||
\(695\) | −8.16956e10 | − | 1.41501e11i | −0.350154 | − | 0.606485i | ||||
\(696\) | −7.79351e10 | − | 4.49958e10i | −0.332121 | − | 0.191750i | ||||
\(697\) | −1.44393e11 | + | 2.50095e11i | −0.611806 | + | 1.05968i | ||||
\(698\) | −1.26793e10 | + | 7.32042e9i | −0.0534164 | + | 0.0308400i | ||||
\(699\) | − | 1.16255e11i | − | 0.486969i | ||||||
\(700\) | 7.87687e10 | + | 6.77969e10i | 0.328066 | + | 0.282369i | ||||
\(701\) | −2.42044e11 | −1.00236 | −0.501179 | − | 0.865344i | \(-0.667100\pi\) | ||||
−0.501179 | + | 0.865344i | \(0.667100\pi\) | |||||||
\(702\) | −3.22690e10 | − | 5.58916e10i | −0.132873 | − | 0.230143i | ||||
\(703\) | 1.78876e9 | + | 1.03274e9i | 0.00732372 | + | 0.00422835i | ||||
\(704\) | −5.62353e9 | + | 9.74024e9i | −0.0228938 | + | 0.0396533i | ||||
\(705\) | −7.15735e10 | + | 4.13230e10i | −0.289731 | + | 0.167276i | ||||
\(706\) | 2.11911e11i | 0.852973i | ||||||||
\(707\) | −1.60938e11 | − | 3.04644e10i | −0.644141 | − | 0.121931i | ||||
\(708\) | −5.08514e10 | −0.202381 | ||||||||
\(709\) | 1.74404e11 | + | 3.02077e11i | 0.690194 | + | 1.19545i | 0.971774 | + | 0.235914i | \(0.0758083\pi\) |
−0.281580 | + | 0.959538i | \(0.590858\pi\) | |||||||
\(710\) | 4.81362e10 | + | 2.77914e10i | 0.189425 | + | 0.109365i | ||||
\(711\) | 1.32458e10 | − | 2.29423e10i | 0.0518321 | − | 0.0897758i | ||||
\(712\) | −7.55866e10 | + | 4.36399e10i | −0.294120 | + | 0.169810i | ||||
\(713\) | − | 5.57362e10i | − | 0.215665i | ||||||
\(714\) | 2.33879e10 | − | 1.23554e11i | 0.0899908 | − | 0.475406i | ||||
\(715\) | 6.85113e10 | 0.262143 | ||||||||
\(716\) | −1.35154e10 | − | 2.34094e10i | −0.0514254 | − | 0.0890714i | ||||
\(717\) | −2.33724e11 | − | 1.34941e11i | −0.884356 | − | 0.510583i | ||||
\(718\) | −1.66962e11 | + | 2.89187e11i | −0.628232 | + | 1.08813i | ||||
\(719\) | 1.56999e11 | − | 9.06435e10i | 0.587465 | − | 0.339173i | −0.176630 | − | 0.984277i | \(-0.556520\pi\) |
0.764094 | + | 0.645104i | \(0.223186\pi\) | |||||||
\(720\) | − | 8.20699e9i | − | 0.0305389i | ||||||
\(721\) | −7.62185e10 | + | 8.85532e10i | −0.282046 | + | 0.327690i | ||||
\(722\) | 9.81665e10 | 0.361256 | ||||||||
\(723\) | 7.99016e10 | + | 1.38394e11i | 0.292417 | + | 0.506481i | ||||
\(724\) | 1.95622e11 | + | 1.12942e11i | 0.711971 | + | 0.411057i | ||||
\(725\) | 2.24678e11 | − | 3.89154e11i | 0.813222 | − | 1.40854i | ||||
\(726\) | 8.50415e10 | − | 4.90987e10i | 0.306115 | − | 0.176735i | ||||
\(727\) | − | 2.81361e11i | − | 1.00722i | −0.863930 | − | 0.503612i | \(-0.832004\pi\) | ||
0.863930 | − | 0.503612i | \(-0.167996\pi\) | |||||||
\(728\) | 6.40365e10 | + | 1.83052e11i | 0.227983 | + | 0.651703i | ||||
\(729\) | −1.04604e10 | −0.0370370 | ||||||||
\(730\) | −5.11922e10 | − | 8.86675e10i | −0.180265 | − | 0.312229i | ||||
\(731\) | −4.04046e11 | − | 2.33276e11i | −1.41502 | − | 0.816960i | ||||
\(732\) | −1.06084e10 | + | 1.83743e10i | −0.0369493 | + | 0.0639980i | ||||
\(733\) | 2.43377e11 | − | 1.40514e11i | 0.843070 | − | 0.486747i | −0.0152365 | − | 0.999884i | \(-0.504850\pi\) |
0.858307 | + | 0.513137i | \(0.171517\pi\) | |||||||
\(734\) | 2.86096e11i | 0.985663i | ||||||||
\(735\) | 4.82828e10 | − | 3.84916e10i | 0.165441 | − | 0.131892i | ||||
\(736\) | −9.96729e9 | −0.0339677 | ||||||||
\(737\) | 2.27455e10 | + | 3.93964e10i | 0.0770949 | + | 0.133532i | ||||
\(738\) | −6.25142e10 | − | 3.60926e10i | −0.210743 | − | 0.121673i | ||||
\(739\) | 9.46678e10 | − | 1.63970e11i | 0.317413 | − | 0.549775i | −0.662534 | − | 0.749031i | \(-0.730519\pi\) |
0.979947 | + | 0.199256i | \(0.0638525\pi\) | |||||||
\(740\) | 5.75389e8 | − | 3.32201e8i | 0.00191882 | − | 0.00110783i | ||||
\(741\) | 2.37727e11i | 0.788508i | ||||||||
\(742\) | 1.40525e11 | − | 4.91594e10i | 0.463596 | − | 0.162178i | ||||
\(743\) | 4.17979e11 | 1.37151 | 0.685755 | − | 0.727832i | \(-0.259472\pi\) | ||||
0.685755 | + | 0.727832i | \(0.259472\pi\) | |||||||
\(744\) | −3.50990e10 | − | 6.07933e10i | −0.114552 | − | 0.198410i | ||||
\(745\) | 8.68487e10 | + | 5.01421e10i | 0.281928 | + | 0.162771i | ||||
\(746\) | −1.79394e11 | + | 3.10720e11i | −0.579234 | + | 1.00326i | ||||
\(747\) | 9.59190e10 | − | 5.53788e10i | 0.308051 | − | 0.177853i | ||||
\(748\) | 6.79515e10i | 0.217067i | ||||||||
\(749\) | −3.47037e11 | − | 2.98697e11i | −1.10268 | − | 0.949083i | ||||
\(750\) | 8.83175e10 | 0.279127 | ||||||||
\(751\) | 1.36155e11 | + | 2.35827e11i | 0.428028 | + | 0.741367i | 0.996698 | − | 0.0811992i | \(-0.0258750\pi\) |
−0.568670 | + | 0.822566i | \(0.692542\pi\) | |||||||
\(752\) | 1.09479e11 | + | 6.32080e10i | 0.342343 | + | 0.197652i | ||||
\(753\) | −2.25577e10 | + | 3.90710e10i | −0.0701640 | + | 0.121528i | ||||
\(754\) | 7.26167e11 | − | 4.19253e11i | 2.24673 | − | 1.29715i | ||||
\(755\) | 9.57514e10i | 0.294684i | ||||||||
\(756\) | 3.08838e10 | + | 5.84608e9i | 0.0945461 | + | 0.0178969i | ||||
\(757\) | 1.46033e11 | 0.444701 | 0.222350 | − | 0.974967i | \(-0.428627\pi\) | ||||
0.222350 | + | 0.974967i | \(0.428627\pi\) | |||||||
\(758\) | 2.70202e10 | + | 4.68003e10i | 0.0818487 | + | 0.141766i | ||||
\(759\) | −1.16793e10 | − | 6.74303e9i | −0.0351924 | − | 0.0203183i | ||||
\(760\) | −1.51153e10 | + | 2.61804e10i | −0.0453067 | + | 0.0784734i | ||||
\(761\) | −2.17647e10 | + | 1.25659e10i | −0.0648954 | + | 0.0374674i | −0.532097 | − | 0.846684i | \(-0.678596\pi\) |
0.467201 | + | 0.884151i | \(0.345262\pi\) | |||||||
\(762\) | − | 1.06424e11i | − | 0.315660i | ||||||
\(763\) | −4.62704e10 | + | 2.44438e11i | −0.136523 | + | 0.721225i | ||||
\(764\) | −1.78185e10 | −0.0522995 | ||||||||
\(765\) | −2.47921e10 | − | 4.29413e10i | −0.0723883 | − | 0.125380i | ||||
\(766\) | 1.13898e11 | + | 6.57593e10i | 0.330828 | + | 0.191004i | ||||
\(767\) | 2.36906e11 | − | 4.10334e11i | 0.684534 | − | 1.18565i | ||||
\(768\) | −1.08716e10 | + | 6.27674e9i | −0.0312500 | + | 0.0180422i | ||||
\(769\) | − | 2.36713e11i | − | 0.676889i | −0.940986 | − | 0.338445i | \(-0.890099\pi\) | ||
0.940986 | − | 0.338445i | \(-0.109901\pi\) | |||||||
\(770\) | −2.17671e10 | + | 2.52897e10i | −0.0619209 | + | 0.0719418i | ||||
\(771\) | −2.54343e11 | −0.719783 | ||||||||
\(772\) | −7.83433e10 | − | 1.35695e11i | −0.220563 | − | 0.382026i | ||||
\(773\) | −1.05440e11 | − | 6.08757e10i | −0.295316 | − | 0.170501i | 0.345021 | − | 0.938595i | \(-0.387872\pi\) |
−0.640337 | + | 0.768094i | \(0.721205\pi\) | |||||||
\(774\) | 5.83101e10 | − | 1.00996e11i | 0.162472 | − | 0.281411i | ||||
\(775\) | 3.03560e11 | − | 1.75261e11i | 0.841469 | − | 0.485822i | ||||
\(776\) | 2.57274e10i | 0.0709495i | ||||||||
\(777\) | 8.40243e8 | + | 2.40189e9i | 0.00230526 | + | 0.00658975i | ||||
\(778\) | −3.62197e10 | −0.0988614 | ||||||||
\(779\) | 1.32948e11 | + | 2.30272e11i | 0.361020 | + | 0.625305i | ||||
\(780\) | 6.62244e10 | + | 3.82347e10i | 0.178912 | + | 0.103295i | ||||
\(781\) | 5.75175e10 | − | 9.96232e10i | 0.154595 | − | 0.267767i | ||||
\(782\) | −5.21516e10 | + | 3.01098e10i | −0.139457 | + | 0.0805156i | ||||
\(783\) | − | 1.35905e11i | − | 0.361567i | ||||||
\(784\) | −8.79160e10 | − | 3.45206e10i | −0.232704 | − | 0.0913723i | ||||
\(785\) | −2.32730e11 | −0.612878 | ||||||||
\(786\) | 9.19845e9 | + | 1.59322e10i | 0.0241004 | + | 0.0417432i | ||||
\(787\) | 1.87230e11 | + | 1.08097e11i | 0.488064 | + | 0.281784i | 0.723771 | − | 0.690040i | \(-0.242407\pi\) |
−0.235707 | + | 0.971824i | \(0.575741\pi\) | |||||||
\(788\) | −7.46674e10 | + | 1.29328e11i | −0.193654 | + | 0.335418i | ||||
\(789\) | 1.20602e11 | − | 6.96298e10i | 0.311206 | − | 0.179675i | ||||
\(790\) | 3.13891e10i | 0.0805880i | ||||||||
\(791\) | 5.80081e11 | − | 2.02927e11i | 1.48178 | − | 0.518363i | ||||
\(792\) | −1.69853e10 | −0.0431690 | ||||||||
\(793\) | −9.88448e10 | − | 1.71204e11i | −0.249955 | − | 0.432934i | ||||
\(794\) | −3.17814e11 | − | 1.83490e11i | −0.799632 | − | 0.461668i | ||||
\(795\) | 2.93519e10 | − | 5.08390e10i | 0.0734799 | − | 0.127271i | ||||
\(796\) | −6.72472e9 | + | 3.88252e9i | −0.0167503 | + | 0.00967078i | ||||
\(797\) | 4.76628e11i | 1.18126i | 0.806942 | + | 0.590631i | \(0.201121\pi\) | ||||
−0.806942 | + | 0.590631i | \(0.798879\pi\) | |||||||
\(798\) | −8.77529e10 | − | 7.55296e10i | −0.216396 | − | 0.186254i | ||||
\(799\) | 7.63769e11 | 1.87402 | ||||||||
\(800\) | −3.13418e10 | − | 5.42855e10i | −0.0765180 | − | 0.132533i | ||||
\(801\) | −1.14151e11 | − | 6.59049e10i | −0.277299 | − | 0.160099i | ||||
\(802\) | −7.63112e10 | + | 1.32175e11i | −0.184455 | + | 0.319486i | ||||
\(803\) | −1.83507e11 | + | 1.05948e11i | −0.441358 | + | 0.254818i | ||||
\(804\) | 5.07751e10i | 0.121514i | ||||||||
\(805\) | −2.90546e10 | − | 5.49982e9i | −0.0691880 | − | 0.0130968i | ||||
\(806\) | 6.54077e11 | 1.54985 | ||||||||
\(807\) | −9.68599e10 | − | 1.67766e11i | −0.228376 | − | 0.395558i | ||||
\(808\) | 8.55573e10 | + | 4.93965e10i | 0.200730 | + | 0.115891i | ||||
\(809\) | −8.27214e10 | + | 1.43278e11i | −0.193118 | + | 0.334491i | −0.946282 | − | 0.323342i | \(-0.895193\pi\) |
0.753164 | + | 0.657833i | \(0.228527\pi\) | |||||||
\(810\) | 1.07337e10 | − | 6.19709e9i | 0.0249349 | − | 0.0143962i | ||||
\(811\) | 4.95222e11i | 1.14476i | 0.819987 | + | 0.572382i | \(0.193981\pi\) | ||||
−0.819987 | + | 0.572382i | \(0.806019\pi\) | |||||||
\(812\) | −7.59546e10 | + | 4.01255e11i | −0.174715 | + | 0.922988i | ||||
\(813\) | 4.76396e11 | 1.09045 | ||||||||
\(814\) | −6.87528e8 | − | 1.19083e9i | −0.00156600 | − | 0.00271240i | ||||
\(815\) | 2.21423e10 | + | 1.27838e10i | 0.0501871 | + | 0.0289755i | ||||
\(816\) | −3.79223e10 | + | 6.56833e10i | −0.0855331 | + | 0.148148i | ||||
\(817\) | −3.72021e11 | + | 2.14786e11i | −0.834985 | + | 0.482079i | ||||
\(818\) | 5.44442e10i | 0.121601i | ||||||||
\(819\) | −1.91055e11 | + | 2.21974e11i | −0.424642 | + | 0.493363i | ||||
\(820\) | 8.55302e10 | 0.189175 | ||||||||
\(821\) | −4.33283e11 | − | 7.50469e11i | −0.953673 | − | 1.65181i | −0.737377 | − | 0.675481i | \(-0.763936\pi\) |
−0.216295 | − | 0.976328i | \(-0.569397\pi\) | |||||||
\(822\) | 2.44832e10 | + | 1.41354e10i | 0.0536266 | + | 0.0309613i | ||||
\(823\) | −2.48620e10 | + | 4.30622e10i | −0.0541921 | + | 0.0938635i | −0.891849 | − | 0.452333i | \(-0.850592\pi\) |
0.837657 | + | 0.546197i | \(0.183925\pi\) | |||||||
\(824\) | 6.10288e10 | − | 3.52350e10i | 0.132381 | − | 0.0764302i | ||||
\(825\) | − | 8.48129e10i | − | 0.183082i | ||||||
\(826\) | 7.61988e10 | + | 2.17819e11i | 0.163692 | + | 0.467925i | ||||
\(827\) | −5.85387e11 | −1.25147 | −0.625736 | − | 0.780035i | \(-0.715201\pi\) | ||||
−0.625736 | + | 0.780035i | \(0.715201\pi\) | |||||||
\(828\) | −7.52629e9 | − | 1.30359e10i | −0.0160125 | − | 0.0277345i | ||||
\(829\) | −3.13411e11 | − | 1.80948e11i | −0.663584 | − | 0.383120i | 0.130057 | − | 0.991506i | \(-0.458484\pi\) |
−0.793641 | + | 0.608386i | \(0.791817\pi\) | |||||||
\(830\) | −6.56168e10 | + | 1.13652e11i | −0.138262 | + | 0.239477i | ||||
\(831\) | −2.64201e11 | + | 1.52537e11i | −0.554026 | + | 0.319867i | ||||
\(832\) | − | 1.16968e11i | − | 0.244104i | ||||||
\(833\) | −5.64283e11 | + | 8.49600e10i | −1.17197 | + | 0.176455i | ||||
\(834\) | −3.77436e11 | −0.780151 | ||||||||
\(835\) | 3.43386e10 | + | 5.94762e10i | 0.0706377 | + | 0.122348i | ||||
\(836\) | 5.41834e10 | + | 3.12828e10i | 0.110928 | + | 0.0640443i | ||||
\(837\) | 5.30065e10 | − | 9.18099e10i | 0.108001 | − | 0.187063i | ||||
\(838\) | 2.35402e11 | − | 1.35909e11i | 0.477347 | − | 0.275596i | ||||
\(839\) | − | 2.17678e11i | − | 0.439305i | −0.975578 | − | 0.219652i | \(-0.929508\pi\) | ||
0.975578 | − | 0.219652i | \(-0.0704923\pi\) | |||||||
\(840\) | −3.51542e10 | + | 1.22978e10i | −0.0706090 | + | 0.0247008i | ||||
\(841\) | 1.26549e12 | 2.52973 | ||||||||
\(842\) | −3.24233e11 | − | 5.61588e11i | −0.645073 | − | 1.11730i | ||||
\(843\) | −1.26865e11 | − | 7.32454e10i | −0.251206 | − | 0.145034i | ||||
\(844\) | −8.13294e10 | + | 1.40867e11i | −0.160279 | + | 0.277612i | ||||
\(845\) | −4.55247e11 | + | 2.62837e11i | −0.892935 | + | 0.515536i | ||||
\(846\) | 1.90913e11i | 0.372696i | ||||||||
\(847\) | −3.37743e11 | − | 2.90698e11i | −0.656225 | − | 0.564818i | ||||
\(848\) | −8.97940e10 | −0.173646 | ||||||||
\(849\) | −5.97641e10 | − | 1.03514e11i | −0.115030 | − | 0.199237i | ||||
\(850\) | −3.27978e11 | − | 1.89358e11i | −0.628302 | − | 0.362750i | ||||
\(851\) | 6.09296e8 | − | 1.05533e9i | 0.00116174 | − | 0.00201220i | ||||
\(852\) | 1.11195e11 | − | 6.41986e10i | 0.211022 | − | 0.121834i | ||||
\(853\) | 2.59248e11i | 0.489688i | 0.969562 | + | 0.244844i | \(0.0787368\pi\) | ||||
−0.969562 | + | 0.244844i | \(0.921263\pi\) | |||||||
\(854\) | 9.46016e10 | + | 1.79074e10i | 0.177855 | + | 0.0336667i | ||||
\(855\) | −4.56542e10 | −0.0854311 | ||||||||
\(856\) | 1.38085e11 | + | 2.39169e11i | 0.257188 | + | 0.445462i | ||||
\(857\) | 4.58730e11 | + | 2.64848e11i | 0.850422 | + | 0.490991i | 0.860793 | − | 0.508955i | \(-0.169968\pi\) |
−0.0103715 | + | 0.999946i | \(0.503301\pi\) | |||||||
\(858\) | 7.91310e10 | − | 1.37059e11i | 0.146015 | − | 0.252905i | ||||
\(859\) | −2.79468e11 | + | 1.61351e11i | −0.513286 | + | 0.296346i | −0.734183 | − | 0.678951i | \(-0.762435\pi\) |
0.220898 | + | 0.975297i | \(0.429101\pi\) | |||||||
\(860\) | 1.38180e11i | 0.252610i | ||||||||
\(861\) | −6.09257e10 | + | 3.21860e11i | −0.110863 | + | 0.585671i | ||||
\(862\) | −1.20649e11 | −0.218522 | ||||||||
\(863\) | 7.95930e10 | + | 1.37859e11i | 0.143493 | + | 0.248538i | 0.928810 | − | 0.370557i | \(-0.120833\pi\) |
−0.785317 | + | 0.619094i | \(0.787500\pi\) | |||||||
\(864\) | −1.64183e10 | − | 9.47912e9i | −0.0294628 | − | 0.0170103i | ||||
\(865\) | −7.75558e10 | + | 1.34331e11i | −0.138532 | + | 0.239944i | ||||
\(866\) | 1.40460e11 | − | 8.10948e10i | 0.249737 | − | 0.144185i | ||||
\(867\) | 1.32008e11i | 0.233627i | ||||||||
\(868\) | −2.07810e11 | + | 2.41441e11i | −0.366090 | + | 0.425336i | ||||
\(869\) | 6.49632e10 | 0.113917 | ||||||||
\(870\) | 8.05151e10 | + | 1.39456e11i | 0.140540 | + | 0.243423i | ||||
\(871\) | −4.09718e11 | − | 2.36551e11i | −0.711889 | − | 0.411009i | ||||
\(872\) | 7.50251e10 | − | 1.29947e11i | 0.129760 | − | 0.224751i | ||||
\(873\) | −3.36481e10 | + | 1.94268e10i | −0.0579301 | + | 0.0334459i | ||||
\(874\) | 5.54464e10i | 0.0950228i | ||||||||
\(875\) | −1.32340e11 | − | 3.78303e11i | −0.225766 | − | 0.645368i | ||||
\(876\) | −2.36509e11 | −0.401635 | ||||||||
\(877\) | 1.99603e11 | + | 3.45723e11i | 0.337419 | + | 0.584426i | 0.983946 | − | 0.178464i | \(-0.0571129\pi\) |
−0.646528 | + | 0.762891i | \(0.723780\pi\) | |||||||
\(878\) | −2.03909e11 | − | 1.17727e11i | −0.343129 | − | 0.198106i | ||||
\(879\) | 1.94032e11 | − | 3.36074e11i | 0.325026 | − | 0.562962i | ||||
\(880\) | 1.74291e10 | − | 1.00627e10i | 0.0290632 | − | 0.0167797i | ||||
\(881\) | 7.07257e11i | 1.17402i | 0.809581 | + | 0.587008i | \(0.199694\pi\) | ||||
−0.809581 | + | 0.587008i | \(0.800306\pi\) | |||||||
\(882\) | −2.12368e10 | − | 1.41049e11i | −0.0350925 | − | 0.233075i | ||||
\(883\) | −5.52083e11 | −0.908158 | −0.454079 | − | 0.890961i | \(-0.650032\pi\) | ||||
−0.454079 | + | 0.890961i | \(0.650032\pi\) | |||||||
\(884\) | −3.53344e11 | − | 6.12011e11i | −0.578614 | − | 1.00219i | ||||
\(885\) | 7.88023e10 | + | 4.54965e10i | 0.128459 | + | 0.0741660i | ||||
\(886\) | 1.54117e11 | − | 2.66938e11i | 0.250101 | − | 0.433188i | ||||
\(887\) | 3.72379e11 | − | 2.14993e11i | 0.601576 | − | 0.347320i | −0.168085 | − | 0.985772i | \(-0.553758\pi\) |
0.769661 | + | 0.638452i | \(0.220425\pi\) | |||||||
\(888\) | − | 1.53478e9i | − | 0.00246828i | ||||||
\(889\) | −4.55862e11 | + | 1.59472e11i | −0.729837 | + | 0.255316i | ||||
\(890\) | 1.56178e11 | 0.248920 | ||||||||
\(891\) | −1.28256e10 | − | 2.22145e10i | −0.0203501 | − | 0.0352473i | ||||
\(892\) | 3.66711e10 | + | 2.11721e10i | 0.0579248 | + | 0.0334429i | ||||
\(893\) | 3.51616e11 | − | 6.09016e11i | 0.552920 | − | 0.957686i | ||||
\(894\) | 2.00622e11 | − | 1.15829e11i | 0.314071 | − | 0.181329i | ||||
\(895\) | 4.83687e10i | 0.0753829i | ||||||||
\(896\) | 4.31768e10 | + | 3.71626e10i | 0.0669913 | + | 0.0576599i | ||||
\(897\) | 1.40254e11 | 0.216643 | ||||||||
\(898\) | −3.53843e11 | − | 6.12875e11i | −0.544134 | − | 0.942468i | ||||
\(899\) | 1.19283e12 | + | 6.88682e11i | 1.82617 | + | 1.05434i | ||||
\(900\) | 4.73322e10 | − | 8.19819e10i | 0.0721418 | − | 0.124953i | ||||
\(901\) | −4.69827e11 | + | 2.71255e11i | −0.712917 | + | 0.411603i | ||||
\(902\) | − | 1.77014e11i | − | 0.267413i | ||||||
\(903\) | −5.19986e11 | − | 9.84296e10i | −0.782061 | − | 0.148039i | ||||
\(904\) | −3.70664e11 | −0.555018 | ||||||||
\(905\) | −2.02098e11 | − | 3.50043e11i | −0.301278 | − | 0.521828i | ||||
\(906\) | 1.91553e11 | + | 1.10593e11i | 0.284300 | + | 0.164141i | ||||
\(907\) | −2.59290e10 | + | 4.49104e10i | −0.0383140 | + | 0.0663617i | −0.884547 | − | 0.466452i | \(-0.845532\pi\) |
0.846233 | + | 0.532814i | \(0.178865\pi\) | |||||||
\(908\) | −4.15772e11 | + | 2.40046e11i | −0.611662 | + | 0.353143i | ||||
\(909\) | 1.49197e11i | 0.218527i | ||||||||
\(910\) | 6.45416e10 | − | 3.40962e11i | 0.0941183 | − | 0.497210i | ||||
\(911\) | −4.06380e11 | −0.590009 | −0.295004 | − | 0.955496i | \(-0.595321\pi\) | ||||
−0.295004 | + | 0.955496i | \(0.595321\pi\) | |||||||
\(912\) | 3.49165e10 | + | 6.04772e10i | 0.0504721 | + | 0.0874203i | ||||
\(913\) | 2.35215e11 | + | 1.35801e11i | 0.338518 | + | 0.195443i | ||||
\(914\) | 4.80741e9 | − | 8.32669e9i | 0.00688853 | − | 0.0119313i | ||||
\(915\) | 3.28788e10 | − | 1.89826e10i | 0.0469063 | − | 0.0270814i | ||||
\(916\) | 2.37916e10i | 0.0337942i | ||||||||
\(917\) | 5.44611e10 | − | 6.32748e10i | 0.0770210 | − | 0.0894857i | ||||
\(918\) | −1.14540e11 | −0.161283 | ||||||||
\(919\) | −5.61460e11 | − | 9.72477e11i | −0.787148 | − | 1.36338i | −0.927707 | − | 0.373308i | \(-0.878223\pi\) |
0.140559 | − | 0.990072i | \(-0.455110\pi\) | |||||||
\(920\) | 1.54459e10 | + | 8.91768e9i | 0.0215606 | + | 0.0124480i | ||||
\(921\) | −1.45745e11 | + | 2.52438e11i | −0.202561 | + | 0.350846i | ||||
\(922\) | −4.59110e11 | + | 2.65067e11i | −0.635320 | + | 0.366802i | ||||
\(923\) | 1.19635e12i | 1.64836i | ||||||||
\(924\) | 2.54518e10 | + | 7.27555e10i | 0.0349164 | + | 0.0998109i | ||||
\(925\) | 7.66363e9 | 0.0104681 | ||||||||
\(926\) | −2.13120e11 | − | 3.69135e11i | −0.289855 | − | 0.502044i | ||||
\(927\) | 9.21655e10 | + | 5.32118e10i | 0.124810 | + | 0.0720591i | ||||
\(928\) | 1.23157e11 | − | 2.13314e11i | 0.166060 | − | 0.287625i | ||||
\(929\) | 8.87235e11 | − | 5.12245e11i | 1.19118 | − | 0.687726i | 0.232603 | − | 0.972572i | \(-0.425276\pi\) |
0.958573 | + | 0.284846i | \(0.0919425\pi\) | |||||||
\(930\) | 1.25612e11i | 0.167918i | ||||||||
\(931\) | −1.92033e11 | + | 4.89063e11i | −0.255609 | + | 0.650977i | ||||
\(932\) | 3.18197e11 | 0.421728 | ||||||||
\(933\) | 2.15117e11 | + | 3.72594e11i | 0.283889 | + | 0.491711i | ||||
\(934\) | −2.01538e11 | − | 1.16358e11i | −0.264831 | − | 0.152900i | ||||
\(935\) | 6.07959e10 | − | 1.05302e11i | 0.0795478 | − | 0.137781i | ||||
\(936\) | 1.52979e11 | − | 8.83226e10i | 0.199310 | − | 0.115072i | ||||
\(937\) | − | 2.25714e11i | − | 0.292819i | −0.989224 | − | 0.146410i | \(-0.953228\pi\) | ||
0.989224 | − | 0.146410i | \(-0.0467718\pi\) | |||||||
\(938\) | 2.17492e11 | − | 7.60844e10i | 0.280952 | − | 0.0982843i | ||||
\(939\) | 3.52268e11 | 0.453117 | ||||||||
\(940\) | −1.13104e11 | − | 1.95901e11i | −0.144866 | − | 0.250915i | ||||
\(941\) | 3.00991e10 | + | 1.73777e10i | 0.0383879 | + | 0.0221633i | 0.519071 | − | 0.854731i | \(-0.326278\pi\) |
−0.480683 | + | 0.876894i | \(0.659611\pi\) | |||||||
\(942\) | −2.68805e11 | + | 4.65584e11i | −0.341376 | + | 0.591281i | ||||
\(943\) | 1.35855e11 | − | 7.84362e10i | 0.171803 | − | 0.0991904i | ||||
\(944\) | − | 1.39184e11i | − | 0.175267i | ||||||
\(945\) | −4.26288e10 | − | 3.66910e10i | −0.0534535 | − | 0.0460079i | ||||
\(946\) | 2.85979e11 | 0.357083 | ||||||||
\(947\) | 3.45508e11 | + | 5.98437e11i | 0.429594 | + | 0.744078i | 0.996837 | − | 0.0794721i | \(-0.0253235\pi\) |
−0.567243 | + | 0.823550i | \(0.691990\pi\) | |||||||
\(948\) | 6.27948e10 | + | 3.62546e10i | 0.0777482 | + | 0.0448879i | ||||
\(949\) | 1.10185e12 | − | 1.90846e12i | 1.35849 | − | 2.35298i | ||||
\(950\) | −3.01982e11 | + | 1.74349e11i | −0.370754 | + | 0.214055i | ||||
\(951\) | − | 6.93809e11i | − | 0.848238i | ||||||
\(952\) | 3.38176e11 | + | 6.40143e10i | 0.411713 | + | 0.0779344i | ||||
\(953\) | 1.59108e12 | 1.92895 | 0.964474 | − | 0.264177i | \(-0.0851002\pi\) | ||||
0.964474 | + | 0.264177i | \(0.0851002\pi\) | |||||||
\(954\) | −6.78033e10 | − | 1.17439e11i | −0.0818573 | − | 0.141781i | ||||
\(955\) | 2.76126e10 | + | 1.59421e10i | 0.0331966 | + | 0.0191660i | ||||
\(956\) | 3.69342e11 | − | 6.39719e11i | 0.442178 | − | 0.765875i | ||||
\(957\) | 2.88620e11 | − | 1.66635e11i | 0.344096 | − | 0.198664i | ||||
\(958\) | 7.90490e11i | 0.938500i | ||||||||
\(959\) | 2.38610e10 | − | 1.26054e11i | 0.0282108 | − | 0.149032i | ||||
\(960\) | 2.24631e10 | 0.0264475 | ||||||||
\(961\) | 1.10761e11 | + | 1.91844e11i | 0.129866 | + | 0.224934i | ||||
\(962\) | 1.23845e10 | + | 7.15021e9i | 0.0144604 | + | 0.00834870i | ||||
\(963\) | −2.08535e11 | + | 3.61193e11i | −0.242479 | + | 0.419986i | ||||
\(964\) | −3.78793e11 | + | 2.18696e11i | −0.438625 | + | 0.253240i | ||||
\(965\) | 2.80373e11i | 0.323316i | ||||||||
\(966\) | −4.45608e10 | + | 5.17722e10i | −0.0511734 | + | 0.0594550i | ||||
\(967\) | −6.93305e11 | −0.792899 | −0.396450 | − | 0.918056i | \(-0.629758\pi\) | ||||
−0.396450 | + | 0.918056i | \(0.629758\pi\) | |||||||
\(968\) | 1.34387e11 | + | 2.32764e11i | 0.153057 | + | 0.265103i | ||||
\(969\) | 3.65386e11 | + | 2.10956e11i | 0.414435 | + | 0.239274i | ||||
\(970\) | 2.30182e10 | − | 3.98687e10i | 0.0260007 | − | 0.0450345i | ||||
\(971\) | −1.38136e12 | + | 7.97528e11i | −1.55392 | + | 0.897159i | −0.556108 | + | 0.831110i | \(0.687706\pi\) |
−0.997816 | + | 0.0660486i | \(0.978961\pi\) | |||||||
\(972\) | − | 2.86307e10i | − | 0.0320750i | ||||||
\(973\) | 5.65572e11 | + | 1.61672e12i | 0.631010 | + | 1.80378i | ||||
\(974\) | 6.10474e11 | 0.678315 | ||||||||
\(975\) | 4.41023e11 | + | 7.63873e11i | 0.488025 | + | 0.845285i | ||||
\(976\) | −5.02917e10 | − | 2.90359e10i | −0.0554239 | − | 0.0319990i | ||||
\(977\) | −3.10683e11 | + | 5.38119e11i | −0.340988 | + | 0.590609i | −0.984616 | − | 0.174730i | \(-0.944095\pi\) |
0.643628 | + | 0.765338i | \(0.277428\pi\) | |||||||
\(978\) | 5.11489e10 | − | 2.95308e10i | 0.0559089 | − | 0.0322790i | ||||
\(979\) | − | 3.23227e11i | − | 0.351866i | ||||||
\(980\) | 1.05354e11 | + | 1.32153e11i | 0.114221 | + | 0.143276i | ||||
\(981\) | 2.26605e11 | 0.244678 | ||||||||
\(982\) | 4.97501e11 | + | 8.61696e11i | 0.534993 | + | 0.926634i | ||||
\(983\) | 4.23650e11 | + | 2.44594e11i | 0.453725 | + | 0.261958i | 0.709402 | − | 0.704804i | \(-0.248965\pi\) |
−0.255677 | + | 0.966762i | \(0.582298\pi\) | |||||||
\(984\) | 9.87879e10 | − | 1.71106e11i | 0.105372 | − | 0.182509i | ||||
\(985\) | 2.31418e11 | − | 1.33609e11i | 0.245839 | − | 0.141935i | ||||
\(986\) | − | 1.48815e12i | − | 1.57449i | ||||||
\(987\) | 8.17766e11 | − | 2.86075e11i | 0.861708 | − | 0.301448i | ||||
\(988\) | −6.50675e11 | −0.682868 | ||||||||
\(989\) | 1.26719e11 | + | 2.19484e11i | 0.132451 | + | 0.229413i | ||||
\(990\) | 2.63214e10 | + | 1.51967e10i | 0.0274011 | + | 0.0158200i | ||||
\(991\) | 2.37498e11 | − | 4.11359e11i | 0.246244 | − | 0.426507i | −0.716237 | − | 0.697857i | \(-0.754137\pi\) |
0.962481 | + | 0.271350i | \(0.0874702\pi\) | |||||||
\(992\) | 1.66395e11 | − | 9.60684e10i | 0.171828 | − | 0.0992051i | ||||
\(993\) | − | 7.73714e11i | − | 0.795762i | ||||||
\(994\) | −4.41612e11 | − | 3.80099e11i | −0.452372 | − | 0.389360i | ||||
\(995\) | 1.38947e10 | 0.0141761 | ||||||||
\(996\) | 1.51576e11 | + | 2.62537e11i | 0.154025 | + | 0.266780i | ||||
\(997\) | −9.69150e11 | − | 5.59539e11i | −0.980867 | − | 0.566304i | −0.0783354 | − | 0.996927i | \(-0.524961\pi\) |
−0.902532 | + | 0.430623i | \(0.858294\pi\) | |||||||
\(998\) | −3.00786e11 | + | 5.20976e11i | −0.303204 | + | 0.525165i | ||||
\(999\) | 2.00729e9 | − | 1.15891e9i | 0.00201534 | − | 0.00116356i |
(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 | 42.9.g.a.31.2 | yes | 8 | |
3.2 | odd | 2 | 126.9.n.a.73.3 | 8 | |||
7.3 | odd | 6 | 294.9.c.a.97.7 | 8 | |||
7.4 | even | 3 | 294.9.c.a.97.6 | 8 | |||
7.5 | odd | 6 | inner | 42.9.g.a.19.2 | ✓ | 8 | |
21.5 | even | 6 | 126.9.n.a.19.3 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
42.9.g.a.19.2 | ✓ | 8 | 7.5 | odd | 6 | inner | |
42.9.g.a.31.2 | yes | 8 | 1.1 | even | 1 | trivial | |
126.9.n.a.19.3 | 8 | 21.5 | even | 6 | |||
126.9.n.a.73.3 | 8 | 3.2 | odd | 2 | |||
294.9.c.a.97.6 | 8 | 7.4 | even | 3 | |||
294.9.c.a.97.7 | 8 | 7.3 | odd | 6 |