Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [21,9,Mod(10,21)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(21, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 1]))
N = Newforms(chi, 9, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("21.10");
S:= CuspForms(chi, 9);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 21 = 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 9 \) |
Character orbit: | \([\chi]\) | \(=\) | 21.f (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: | \(8.55495081128\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 3 x^{11} + 1331 x^{10} + 1482 x^{9} + 1359381 x^{8} + 1222227 x^{7} + 474169529 x^{6} + 1911324162 x^{5} + 121870629463 x^{4} + \cdots + 556282980265104 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{8}\cdot 3^{5}\cdot 7^{5} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 10.4 | ||
Root | \(-5.65790 + 9.79977i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 21.10 |
Dual form | 21.9.f.b.19.4 |
$q$-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 \(\left(\mathbb{Z}/21\mathbb{Z}\right)^\times\).
\(n\) | \(8\) | \(10\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 6.15790 | + | 10.6658i | 0.384869 | + | 0.666612i | 0.991751 | − | 0.128179i | \(-0.0409133\pi\) |
−0.606882 | + | 0.794792i | \(0.707580\pi\) | |||||||
\(3\) | 40.5000 | + | 23.3827i | 0.500000 | + | 0.288675i | ||||
\(4\) | 52.1605 | − | 90.3446i | 0.203752 | − | 0.352909i | ||||
\(5\) | 599.787 | − | 346.287i | 0.959659 | − | 0.554060i | 0.0635911 | − | 0.997976i | \(-0.479745\pi\) |
0.896068 | + | 0.443916i | \(0.146411\pi\) | |||||||
\(6\) | 575.953i | 0.444408i | ||||||||
\(7\) | −419.022 | − | 2364.15i | −0.174520 | − | 0.984654i | ||||
\(8\) | 4437.64 | 1.08341 | ||||||||
\(9\) | 1093.50 | + | 1894.00i | 0.166667 | + | 0.288675i | ||||
\(10\) | 7386.86 | + | 4264.81i | 0.738686 | + | 0.426481i | ||||
\(11\) | −3938.27 | + | 6821.28i | −0.268989 | + | 0.465902i | −0.968601 | − | 0.248620i | \(-0.920023\pi\) |
0.699612 | + | 0.714523i | \(0.253356\pi\) | |||||||
\(12\) | 4225.00 | − | 2439.31i | 0.203752 | − | 0.117636i | ||||
\(13\) | 17386.7i | 0.608756i | 0.952551 | + | 0.304378i | \(0.0984486\pi\) | ||||
−0.952551 | + | 0.304378i | \(0.901551\pi\) | |||||||
\(14\) | 22635.3 | − | 19027.4i | 0.589215 | − | 0.495300i | ||||
\(15\) | 32388.5 | 0.639773 | ||||||||
\(16\) | 13973.5 | + | 24202.8i | 0.213218 | + | 0.369305i | ||||
\(17\) | 71270.0 | + | 41147.8i | 0.853319 | + | 0.492664i | 0.861769 | − | 0.507300i | \(-0.169357\pi\) |
−0.00845047 | + | 0.999964i | \(0.502690\pi\) | |||||||
\(18\) | −13467.3 | + | 23326.1i | −0.128290 | + | 0.222204i | ||||
\(19\) | −57863.8 | + | 33407.7i | −0.444010 | + | 0.256349i | −0.705297 | − | 0.708912i | \(-0.749186\pi\) |
0.261287 | + | 0.965261i | \(0.415853\pi\) | |||||||
\(20\) | − | 72250.1i | − | 0.451563i | ||||||
\(21\) | 38309.9 | − | 105546.i | 0.196985 | − | 0.542706i | ||||
\(22\) | −97005.8 | −0.414102 | ||||||||
\(23\) | −131172. | − | 227197.i | −0.468738 | − | 0.811878i | 0.530624 | − | 0.847608i | \(-0.321958\pi\) |
−0.999361 | + | 0.0357297i | \(0.988624\pi\) | |||||||
\(24\) | 179725. | + | 103764.i | 0.541704 | + | 0.312753i | ||||
\(25\) | 44517.2 | − | 77106.0i | 0.113964 | − | 0.197391i | ||||
\(26\) | −185443. | + | 107065.i | −0.405804 | + | 0.234291i | ||||
\(27\) | 102276.i | 0.192450i | ||||||||
\(28\) | −235445. | − | 85459.0i | −0.383052 | − | 0.139036i | ||||
\(29\) | −941711. | −1.33145 | −0.665726 | − | 0.746196i | \(-0.731878\pi\) | ||||
−0.665726 | + | 0.746196i | \(0.731878\pi\) | |||||||
\(30\) | 199445. | + | 345449.i | 0.246229 | + | 0.426481i | ||||
\(31\) | −665638. | − | 384306.i | −0.720761 | − | 0.416131i | 0.0942719 | − | 0.995546i | \(-0.469948\pi\) |
−0.815033 | + | 0.579415i | \(0.803281\pi\) | |||||||
\(32\) | 395924. | − | 685760.i | 0.377582 | − | 0.653992i | ||||
\(33\) | −319000. | + | 184174.i | −0.268989 | + | 0.155301i | ||||
\(34\) | 1.01354e6i | 0.758444i | ||||||||
\(35\) | −1.07000e6 | − | 1.27289e6i | −0.713036 | − | 0.848238i | ||||
\(36\) | 228150. | 0.135835 | ||||||||
\(37\) | 1.75477e6 | + | 3.03936e6i | 0.936298 | + | 1.62172i | 0.772303 | + | 0.635255i | \(0.219105\pi\) |
0.163995 | + | 0.986461i | \(0.447562\pi\) | |||||||
\(38\) | −712640. | − | 411443.i | −0.341771 | − | 0.197322i | ||||
\(39\) | −406547. | + | 704160.i | −0.175733 | + | 0.304378i | ||||
\(40\) | 2.66164e6 | − | 1.53670e6i | 1.03970 | − | 0.600273i | ||||
\(41\) | − | 2.49329e6i | − | 0.882345i | −0.897422 | − | 0.441172i | \(-0.854563\pi\) | ||
0.897422 | − | 0.441172i | \(-0.145437\pi\) | |||||||
\(42\) | 1.36164e6 | − | 241337.i | 0.437588 | − | 0.0775581i | ||||
\(43\) | 5.71816e6 | 1.67256 | 0.836282 | − | 0.548299i | \(-0.184725\pi\) | ||||
0.836282 | + | 0.548299i | \(0.184725\pi\) | |||||||
\(44\) | 410844. | + | 711602.i | 0.109614 | + | 0.189857i | ||||
\(45\) | 1.31173e6 | + | 757330.i | 0.319886 | + | 0.184687i | ||||
\(46\) | 1.61549e6 | − | 2.79811e6i | 0.360805 | − | 0.624933i | ||||
\(47\) | −3.24842e6 | + | 1.87548e6i | −0.665704 | + | 0.384345i | −0.794447 | − | 0.607333i | \(-0.792239\pi\) |
0.128743 | + | 0.991678i | \(0.458906\pi\) | |||||||
\(48\) | 1.30695e6i | 0.246203i | ||||||||
\(49\) | −5.41364e6 | + | 1.98127e6i | −0.939086 | + | 0.343683i | ||||
\(50\) | 1.09653e6 | 0.175445 | ||||||||
\(51\) | 1.92429e6 | + | 3.33297e6i | 0.284440 | + | 0.492664i | ||||
\(52\) | 1.57079e6 | + | 906898.i | 0.214835 | + | 0.124035i | ||||
\(53\) | −2.12611e6 | + | 3.68253e6i | −0.269452 | + | 0.466705i | −0.968720 | − | 0.248154i | \(-0.920176\pi\) |
0.699268 | + | 0.714859i | \(0.253509\pi\) | |||||||
\(54\) | −1.09085e6 | + | 629805.i | −0.128290 | + | 0.0740680i | ||||
\(55\) | 5.45508e6i | 0.596143i | ||||||||
\(56\) | −1.85947e6 | − | 1.04913e7i | −0.189076 | − | 1.06678i | ||||
\(57\) | −3.12465e6 | −0.296007 | ||||||||
\(58\) | −5.79897e6 | − | 1.00441e7i | −0.512435 | − | 0.887563i | ||||
\(59\) | −8.47648e6 | − | 4.89390e6i | −0.699532 | − | 0.403875i | 0.107641 | − | 0.994190i | \(-0.465670\pi\) |
−0.807173 | + | 0.590315i | \(0.799004\pi\) | |||||||
\(60\) | 1.68940e6 | − | 2.92613e6i | 0.130355 | − | 0.225781i | ||||
\(61\) | −2.00337e7 | + | 1.15665e7i | −1.44691 | + | 0.835376i | −0.998296 | − | 0.0583477i | \(-0.981417\pi\) |
−0.448618 | + | 0.893724i | \(0.648083\pi\) | |||||||
\(62\) | − | 9.46608e6i | − | 0.640624i | ||||||
\(63\) | 4.01950e6 | − | 3.37883e6i | 0.255158 | − | 0.214488i | ||||
\(64\) | 1.69067e7 | 1.00772 | ||||||||
\(65\) | 6.02078e6 | + | 1.04283e7i | 0.337287 | + | 0.584198i | ||||
\(66\) | −3.92874e6 | − | 2.26826e6i | −0.207051 | − | 0.119541i | ||||
\(67\) | −7.18931e6 | + | 1.24523e7i | −0.356770 | + | 0.617944i | −0.987419 | − | 0.158124i | \(-0.949455\pi\) |
0.630649 | + | 0.776068i | \(0.282789\pi\) | |||||||
\(68\) | 7.43496e6 | − | 4.29258e6i | 0.347731 | − | 0.200762i | ||||
\(69\) | − | 1.22686e7i | − | 0.541252i | ||||||
\(70\) | 6.98740e6 | − | 1.92507e7i | 0.291020 | − | 0.801779i | ||||
\(71\) | 2.47374e7 | 0.973464 | 0.486732 | − | 0.873551i | \(-0.338189\pi\) | ||||
0.486732 | + | 0.873551i | \(0.338189\pi\) | |||||||
\(72\) | 4.85256e6 | + | 8.40488e6i | 0.180568 | + | 0.312753i | ||||
\(73\) | −4.43036e7 | − | 2.55787e7i | −1.56008 | − | 0.900715i | −0.997247 | − | 0.0741458i | \(-0.976377\pi\) |
−0.562836 | − | 0.826569i | \(-0.690290\pi\) | |||||||
\(74\) | −2.16114e7 | + | 3.74321e7i | −0.720704 | + | 1.24830i | ||||
\(75\) | 3.60589e6 | − | 2.08186e6i | 0.113964 | − | 0.0657971i | ||||
\(76\) | 6.97025e6i | 0.208927i | ||||||||
\(77\) | 1.77768e7 | + | 6.45240e6i | 0.505696 | + | 0.183552i | ||||
\(78\) | −1.00139e7 | −0.270536 | ||||||||
\(79\) | 1.40231e6 | + | 2.42887e6i | 0.0360028 | + | 0.0623586i | 0.883465 | − | 0.468497i | \(-0.155204\pi\) |
−0.847463 | + | 0.530855i | \(0.821871\pi\) | |||||||
\(80\) | 1.67622e7 | + | 9.67767e6i | 0.409234 | + | 0.236271i | ||||
\(81\) | −2.39148e6 | + | 4.14217e6i | −0.0555556 | + | 0.0962250i | ||||
\(82\) | 2.65930e7 | − | 1.53535e7i | 0.588182 | − | 0.339587i | ||||
\(83\) | 3.15219e7i | 0.664201i | 0.943244 | + | 0.332101i | \(0.107757\pi\) | ||||
−0.943244 | + | 0.332101i | \(0.892243\pi\) | |||||||
\(84\) | −7.53726e6 | − | 8.96643e6i | −0.151390 | − | 0.180095i | ||||
\(85\) | 5.69958e7 | 1.09186 | ||||||||
\(86\) | 3.52119e7 | + | 6.09888e7i | 0.643718 | + | 1.11495i | ||||
\(87\) | −3.81393e7 | − | 2.20197e7i | −0.665726 | − | 0.384357i | ||||
\(88\) | −1.74766e7 | + | 3.02704e7i | −0.291425 | + | 0.504763i | ||||
\(89\) | 9.41691e7 | − | 5.43685e7i | 1.50089 | − | 0.866538i | 0.500888 | − | 0.865512i | \(-0.333007\pi\) |
0.999999 | − | 0.00102619i | \(-0.000326645\pi\) | |||||||
\(90\) | 1.86543e7i | 0.284320i | ||||||||
\(91\) | 4.11048e7 | − | 7.28540e6i | 0.599414 | − | 0.106240i | ||||
\(92\) | −2.73680e7 | −0.382025 | ||||||||
\(93\) | −1.79722e7 | − | 3.11288e7i | −0.240254 | − | 0.416131i | ||||
\(94\) | −4.00070e7 | − | 2.30980e7i | −0.512418 | − | 0.295844i | ||||
\(95\) | −2.31373e7 | + | 4.00750e7i | −0.284066 | + | 0.492016i | ||||
\(96\) | 3.20698e7 | − | 1.85155e7i | 0.377582 | − | 0.217997i | ||||
\(97\) | − | 4.54417e7i | − | 0.513296i | −0.966505 | − | 0.256648i | \(-0.917382\pi\) | ||
0.966505 | − | 0.256648i | \(-0.0826180\pi\) | |||||||
\(98\) | −5.44684e7 | − | 4.55404e7i | −0.590528 | − | 0.493733i | ||||
\(99\) | −1.72260e7 | −0.179326 | ||||||||
\(100\) | −4.64408e6 | − | 8.04378e6i | −0.0464408 | − | 0.0804378i | ||||
\(101\) | −5.93288e7 | − | 3.42535e7i | −0.570138 | − | 0.329169i | 0.187066 | − | 0.982347i | \(-0.440102\pi\) |
−0.757204 | + | 0.653178i | \(0.773435\pi\) | |||||||
\(102\) | −2.36992e7 | + | 4.10482e7i | −0.218944 | + | 0.379222i | ||||
\(103\) | 3.24315e7 | − | 1.87243e7i | 0.288150 | − | 0.166363i | −0.348958 | − | 0.937139i | \(-0.613464\pi\) |
0.637107 | + | 0.770775i | \(0.280131\pi\) | |||||||
\(104\) | 7.71558e7i | 0.659531i | ||||||||
\(105\) | −1.35715e7 | − | 7.65714e7i | −0.111653 | − | 0.629955i | ||||
\(106\) | −5.23694e7 | −0.414815 | ||||||||
\(107\) | −6.48143e7 | − | 1.12262e8i | −0.494465 | − | 0.856438i | 0.505515 | − | 0.862818i | \(-0.331303\pi\) |
−0.999980 | + | 0.00637956i | \(0.997969\pi\) | |||||||
\(108\) | 9.24008e6 | + | 5.33476e6i | 0.0679173 | + | 0.0392121i | ||||
\(109\) | −1.05665e8 | + | 1.83016e8i | −0.748554 | + | 1.29653i | 0.199961 | + | 0.979804i | \(0.435918\pi\) |
−0.948516 | + | 0.316730i | \(0.897415\pi\) | |||||||
\(110\) | −5.81828e7 | + | 3.35919e7i | −0.397397 | + | 0.229437i | ||||
\(111\) | 1.64125e8i | 1.08114i | ||||||||
\(112\) | 5.13639e7 | − | 4.31769e7i | 0.326427 | − | 0.274397i | ||||
\(113\) | 1.54451e8 | 0.947278 | 0.473639 | − | 0.880719i | \(-0.342940\pi\) | ||||
0.473639 | + | 0.880719i | \(0.342940\pi\) | |||||||
\(114\) | −1.92413e7 | − | 3.33269e7i | −0.113924 | − | 0.197322i | ||||
\(115\) | −1.57351e8 | − | 9.08464e7i | −0.899657 | − | 0.519417i | ||||
\(116\) | −4.91201e7 | + | 8.50786e7i | −0.271286 | + | 0.469881i | ||||
\(117\) | −3.29303e7 | + | 1.90123e7i | −0.175733 | + | 0.101459i | ||||
\(118\) | − | 1.20545e8i | − | 0.621756i | ||||||
\(119\) | 6.74159e7 | − | 1.85735e8i | 0.336182 | − | 0.926203i | ||||
\(120\) | 1.43729e8 | 0.693136 | ||||||||
\(121\) | 7.61596e7 | + | 1.31912e8i | 0.355290 | + | 0.615380i | ||||
\(122\) | −2.46732e8 | − | 1.42451e8i | −1.11374 | − | 0.643020i | ||||
\(123\) | 5.82999e7 | − | 1.00978e8i | 0.254711 | − | 0.441172i | ||||
\(124\) | −6.94400e7 | + | 4.00912e7i | −0.293713 | + | 0.169575i | ||||
\(125\) | 2.08874e8i | 0.855548i | ||||||||
\(126\) | 6.07896e7 | + | 2.20647e7i | 0.241183 | + | 0.0875418i | ||||
\(127\) | 2.75296e8 | 1.05824 | 0.529120 | − | 0.848547i | \(-0.322522\pi\) | ||||
0.529120 | + | 0.848547i | \(0.322522\pi\) | |||||||
\(128\) | 2.75306e6 | + | 4.76845e6i | 0.0102560 | + | 0.0177638i | ||||
\(129\) | 2.31586e8 | + | 1.33706e8i | 0.836282 | + | 0.482828i | ||||
\(130\) | −7.41508e7 | + | 1.28433e8i | −0.259622 | + | 0.449679i | ||||
\(131\) | 2.88035e8 | − | 1.66297e8i | 0.978047 | − | 0.564676i | 0.0763670 | − | 0.997080i | \(-0.475668\pi\) |
0.901680 | + | 0.432404i | \(0.142335\pi\) | |||||||
\(132\) | 3.84265e7i | 0.126571i | ||||||||
\(133\) | 1.03227e8 | + | 1.22800e8i | 0.329904 | + | 0.392458i | ||||
\(134\) | −1.77084e8 | −0.549239 | ||||||||
\(135\) | 3.54168e7 | + | 6.13437e7i | 0.106629 | + | 0.184687i | ||||
\(136\) | 3.16271e8 | + | 1.82599e8i | 0.924493 | + | 0.533756i | ||||
\(137\) | 1.88426e8 | − | 3.26363e8i | 0.534882 | − | 0.926442i | −0.464287 | − | 0.885685i | \(-0.653690\pi\) |
0.999169 | − | 0.0407575i | \(-0.0129771\pi\) | |||||||
\(138\) | 1.30855e8 | − | 7.55490e7i | 0.360805 | − | 0.208311i | ||||
\(139\) | − | 3.05080e8i | − | 0.817250i | −0.912702 | − | 0.408625i | \(-0.866008\pi\) | ||
0.912702 | − | 0.408625i | \(-0.133992\pi\) | |||||||
\(140\) | −1.70810e8 | + | 3.02744e7i | −0.444633 | + | 0.0788067i | ||||
\(141\) | −1.75415e8 | −0.443803 | ||||||||
\(142\) | 1.52330e8 | + | 2.63844e8i | 0.374656 | + | 0.648923i | ||||
\(143\) | −1.18599e8 | − | 6.84733e7i | −0.283621 | − | 0.163749i | ||||
\(144\) | −3.05600e7 | + | 5.29315e7i | −0.0710728 | + | 0.123102i | ||||
\(145\) | −5.64826e8 | + | 3.26103e8i | −1.27774 | + | 0.737704i | ||||
\(146\) | − | 6.30045e8i | − | 1.38663i | ||||||
\(147\) | −2.65580e8 | − | 4.63442e7i | −0.568756 | − | 0.0992491i | ||||
\(148\) | 3.66119e8 | 0.763090 | ||||||||
\(149\) | 2.64372e8 | + | 4.57905e8i | 0.536377 | + | 0.929032i | 0.999095 | + | 0.0425269i | \(0.0135408\pi\) |
−0.462718 | + | 0.886505i | \(0.653126\pi\) | |||||||
\(150\) | 4.44094e7 | + | 2.56398e7i | 0.0877224 | + | 0.0506465i | ||||
\(151\) | 1.17540e8 | − | 2.03585e8i | 0.226088 | − | 0.391595i | −0.730558 | − | 0.682851i | \(-0.760740\pi\) |
0.956645 | + | 0.291256i | \(0.0940731\pi\) | |||||||
\(152\) | −2.56779e8 | + | 1.48251e8i | −0.481044 | + | 0.277731i | ||||
\(153\) | 1.79980e8i | 0.328443i | ||||||||
\(154\) | 4.06476e7 | + | 2.29337e8i | 0.0722690 | + | 0.407747i | ||||
\(155\) | −5.32321e8 | −0.922246 | ||||||||
\(156\) | 4.24114e7 | + | 7.34587e7i | 0.0716117 | + | 0.124035i | ||||
\(157\) | −3.13489e8 | − | 1.80993e8i | −0.515969 | − | 0.297895i | 0.219315 | − | 0.975654i | \(-0.429618\pi\) |
−0.735284 | + | 0.677759i | \(0.762951\pi\) | |||||||
\(158\) | −1.72706e7 | + | 2.99135e7i | −0.0277127 | + | 0.0479998i | ||||
\(159\) | −1.72215e8 | + | 9.94282e7i | −0.269452 | + | 0.155568i | ||||
\(160\) | − | 5.48413e8i | − | 0.836812i | ||||||
\(161\) | −4.82164e8 | + | 4.05311e8i | −0.717614 | + | 0.603233i | ||||
\(162\) | −5.89061e7 | −0.0855264 | ||||||||
\(163\) | −5.75962e8 | − | 9.97595e8i | −0.815912 | − | 1.41320i | −0.908671 | − | 0.417512i | \(-0.862902\pi\) |
0.0927592 | − | 0.995689i | \(-0.470431\pi\) | |||||||
\(164\) | −2.25256e8 | − | 1.30051e8i | −0.311387 | − | 0.179779i | ||||
\(165\) | −1.27555e8 | + | 2.20931e8i | −0.172092 | + | 0.298072i | ||||
\(166\) | −3.36206e8 | + | 1.94109e8i | −0.442765 | + | 0.255630i | ||||
\(167\) | 3.43851e8i | 0.442084i | 0.975264 | + | 0.221042i | \(0.0709458\pi\) | ||||
−0.975264 | + | 0.221042i | \(0.929054\pi\) | |||||||
\(168\) | 1.70005e8 | − | 4.68376e8i | 0.213415 | − | 0.587973i | ||||
\(169\) | 5.13434e8 | 0.629416 | ||||||||
\(170\) | 3.50974e8 | + | 6.07906e8i | 0.420223 | + | 0.727848i | ||||
\(171\) | −1.26548e8 | − | 7.30626e7i | −0.148003 | − | 0.0854498i | ||||
\(172\) | 2.98262e8 | − | 5.16606e8i | 0.340788 | − | 0.590263i | ||||
\(173\) | 3.92504e8 | − | 2.26612e8i | 0.438187 | − | 0.252988i | −0.264641 | − | 0.964347i | \(-0.585253\pi\) |
0.702828 | + | 0.711359i | \(0.251920\pi\) | |||||||
\(174\) | − | 5.42382e8i | − | 0.591709i | ||||||
\(175\) | −2.00944e8 | − | 7.29363e7i | −0.214251 | − | 0.0777663i | ||||
\(176\) | −2.20125e8 | −0.229413 | ||||||||
\(177\) | −2.28865e8 | − | 3.96406e8i | −0.233177 | − | 0.403875i | ||||
\(178\) | 1.15977e9 | + | 6.69592e8i | 1.15529 | + | 0.667007i | ||||
\(179\) | 7.05221e8 | − | 1.22148e9i | 0.686931 | − | 1.18980i | −0.285894 | − | 0.958261i | \(-0.592291\pi\) |
0.972826 | − | 0.231539i | \(-0.0743760\pi\) | |||||||
\(180\) | 1.36841e8 | − | 7.90054e7i | 0.130355 | − | 0.0752605i | ||||
\(181\) | 1.66506e9i | 1.55137i | 0.631120 | + | 0.775685i | \(0.282595\pi\) | ||||
−0.631120 | + | 0.775685i | \(0.717405\pi\) | |||||||
\(182\) | 3.30824e8 | + | 3.93552e8i | 0.301516 | + | 0.358688i | ||||
\(183\) | −1.08182e9 | −0.964609 | ||||||||
\(184\) | −5.82095e8 | − | 1.00822e9i | −0.507835 | − | 0.879596i | ||||
\(185\) | 2.10498e9 | + | 1.21531e9i | 1.79705 | + | 1.03753i | ||||
\(186\) | 2.21342e8 | − | 3.83376e8i | 0.184932 | − | 0.320312i | ||||
\(187\) | −5.61361e8 | + | 3.24102e8i | −0.459066 | + | 0.265042i | ||||
\(188\) | 3.91304e8i | 0.313244i | ||||||||
\(189\) | 2.41796e8 | − | 4.28559e7i | 0.189497 | − | 0.0335864i | ||||
\(190\) | −5.69909e8 | −0.437312 | ||||||||
\(191\) | 3.07369e8 | + | 5.32378e8i | 0.230954 | + | 0.400025i | 0.958089 | − | 0.286470i | \(-0.0924819\pi\) |
−0.727135 | + | 0.686495i | \(0.759149\pi\) | |||||||
\(192\) | 6.84720e8 | + | 3.95323e8i | 0.503858 | + | 0.290902i | ||||
\(193\) | 2.77018e7 | − | 4.79808e7i | 0.0199654 | − | 0.0345811i | −0.855870 | − | 0.517191i | \(-0.826978\pi\) |
0.875835 | + | 0.482610i | \(0.160311\pi\) | |||||||
\(194\) | 4.84672e8 | − | 2.79825e8i | 0.342169 | − | 0.197551i | ||||
\(195\) | 5.63128e8i | 0.389465i | ||||||||
\(196\) | −1.03382e8 | + | 5.92437e8i | −0.0700517 | + | 0.401438i | ||||
\(197\) | −9.92633e8 | −0.659058 | −0.329529 | − | 0.944145i | \(-0.606890\pi\) | ||||
−0.329529 | + | 0.944145i | \(0.606890\pi\) | |||||||
\(198\) | −1.06076e8 | − | 1.83729e8i | −0.0690170 | − | 0.119541i | ||||
\(199\) | −3.82547e8 | − | 2.20864e8i | −0.243934 | − | 0.140835i | 0.373049 | − | 0.927811i | \(-0.378312\pi\) |
−0.616984 | + | 0.786976i | \(0.711646\pi\) | |||||||
\(200\) | 1.97551e8 | − | 3.42169e8i | 0.123470 | − | 0.213856i | ||||
\(201\) | −5.82334e8 | + | 3.36211e8i | −0.356770 | + | 0.205981i | ||||
\(202\) | − | 8.43719e8i | − | 0.506748i | ||||||
\(203\) | 3.94598e8 | + | 2.22635e9i | 0.232365 | + | 1.31102i | ||||
\(204\) | 4.01488e8 | 0.231820 | ||||||||
\(205\) | −8.63396e8 | − | 1.49545e9i | −0.488871 | − | 0.846750i | ||||
\(206\) | 3.99420e8 | + | 2.30605e8i | 0.221800 | + | 0.128056i | ||||
\(207\) | 2.86873e8 | − | 4.96879e8i | 0.156246 | − | 0.270626i | ||||
\(208\) | −4.20806e8 | + | 2.42952e8i | −0.224817 | + | 0.129798i | ||||
\(209\) | − | 5.26274e8i | − | 0.275820i | ||||||
\(210\) | 7.33123e8 | − | 6.16270e8i | 0.376964 | − | 0.316879i | ||||
\(211\) | 9.54646e7 | 0.0481629 | 0.0240814 | − | 0.999710i | \(-0.492334\pi\) | ||||
0.0240814 | + | 0.999710i | \(0.492334\pi\) | |||||||
\(212\) | 2.21798e8 | + | 3.84165e8i | 0.109803 | + | 0.190184i | ||||
\(213\) | 1.00186e9 | + | 5.78426e8i | 0.486732 | + | 0.281015i | ||||
\(214\) | 7.98240e8 | − | 1.38259e9i | 0.380608 | − | 0.659233i | ||||
\(215\) | 3.42968e9 | − | 1.98013e9i | 1.60509 | − | 0.926700i | ||||
\(216\) | 4.53864e8i | 0.208502i | ||||||||
\(217\) | −6.29642e8 | + | 1.73470e9i | −0.283958 | + | 0.782323i | ||||
\(218\) | −2.60269e9 | −1.15238 | ||||||||
\(219\) | −1.19620e9 | − | 2.07188e9i | −0.520028 | − | 0.900715i | ||||
\(220\) | 4.92838e8 | + | 2.84540e8i | 0.210384 | + | 0.121465i | ||||
\(221\) | −7.15423e8 | + | 1.23915e9i | −0.299912 | + | 0.519463i | ||||
\(222\) | −1.75053e9 | + | 1.01067e9i | −0.720704 | + | 0.416099i | ||||
\(223\) | − | 1.02921e9i | − | 0.416183i | −0.978109 | − | 0.208092i | \(-0.933275\pi\) | ||
0.978109 | − | 0.208092i | \(-0.0667252\pi\) | |||||||
\(224\) | −1.78714e9 | − | 6.48676e8i | −0.709851 | − | 0.257653i | ||||
\(225\) | 1.94718e8 | 0.0759760 | ||||||||
\(226\) | 9.51095e8 | + | 1.64735e9i | 0.364578 | + | 0.631467i | ||||
\(227\) | −4.19700e9 | − | 2.42314e9i | −1.58065 | − | 0.912587i | −0.994765 | − | 0.102192i | \(-0.967415\pi\) |
−0.585883 | − | 0.810396i | \(-0.699252\pi\) | |||||||
\(228\) | −1.62983e8 | + | 2.82295e8i | −0.0603119 | + | 0.104463i | ||||
\(229\) | 2.36871e9 | − | 1.36757e9i | 0.861329 | − | 0.497289i | −0.00312784 | − | 0.999995i | \(-0.500996\pi\) |
0.864457 | + | 0.502706i | \(0.167662\pi\) | |||||||
\(230\) | − | 2.23769e9i | − | 0.799630i | ||||||
\(231\) | 5.69085e8 | + | 6.76991e8i | 0.199861 | + | 0.237758i | ||||
\(232\) | −4.17898e9 | −1.44251 | ||||||||
\(233\) | −6.07143e8 | − | 1.05160e9i | −0.206000 | − | 0.356803i | 0.744451 | − | 0.667677i | \(-0.232711\pi\) |
−0.950451 | + | 0.310875i | \(0.899378\pi\) | |||||||
\(234\) | −4.05563e8 | − | 2.34152e8i | −0.135268 | − | 0.0780970i | ||||
\(235\) | −1.29891e9 | + | 2.24978e9i | −0.425900 | + | 0.737680i | ||||
\(236\) | −8.84275e8 | + | 5.10537e8i | −0.285062 | + | 0.164581i | ||||
\(237\) | 1.31159e8i | 0.0415724i | ||||||||
\(238\) | 2.39615e9 | − | 4.24694e8i | 0.746804 | − | 0.132364i | ||||
\(239\) | 1.57918e9 | 0.483996 | 0.241998 | − | 0.970277i | \(-0.422197\pi\) | ||||
0.241998 | + | 0.970277i | \(0.422197\pi\) | |||||||
\(240\) | 4.52580e8 | + | 7.83891e8i | 0.136411 | + | 0.236271i | ||||
\(241\) | 2.61845e9 | + | 1.51176e9i | 0.776204 | + | 0.448142i | 0.835083 | − | 0.550124i | \(-0.185419\pi\) |
−0.0588794 | + | 0.998265i | \(0.518753\pi\) | |||||||
\(242\) | −9.37966e8 | + | 1.62461e9i | −0.273480 | + | 0.473681i | ||||
\(243\) | −1.93710e8 | + | 1.11839e8i | −0.0555556 | + | 0.0320750i | ||||
\(244\) | 2.41325e9i | 0.680838i | ||||||||
\(245\) | −2.56095e9 | + | 3.06301e9i | −0.710781 | + | 0.850128i | ||||
\(246\) | 1.43602e9 | 0.392121 | ||||||||
\(247\) | −5.80849e8 | − | 1.00606e9i | −0.156054 | − | 0.270294i | ||||
\(248\) | −2.95386e9 | − | 1.70541e9i | −0.780878 | − | 0.450840i | ||||
\(249\) | −7.37066e8 | + | 1.27664e9i | −0.191738 | + | 0.332101i | ||||
\(250\) | −2.22781e9 | + | 1.28623e9i | −0.570319 | + | 0.329274i | ||||
\(251\) | − | 5.42496e9i | − | 1.36679i | −0.730049 | − | 0.683394i | \(-0.760503\pi\) | ||
0.730049 | − | 0.683394i | \(-0.239497\pi\) | |||||||
\(252\) | −9.55999e7 | − | 5.39382e8i | −0.0237058 | − | 0.133750i | ||||
\(253\) | 2.06636e9 | 0.504341 | ||||||||
\(254\) | 1.69524e9 | + | 2.93625e9i | 0.407284 | + | 0.705436i | ||||
\(255\) | 2.30833e9 | + | 1.33271e9i | 0.545930 | + | 0.315193i | ||||
\(256\) | 2.13015e9 | − | 3.68952e9i | 0.495963 | − | 0.859033i | ||||
\(257\) | 1.13951e9 | − | 6.57898e8i | 0.261208 | − | 0.150809i | −0.363677 | − | 0.931525i | \(-0.618479\pi\) |
0.624886 | + | 0.780716i | \(0.285146\pi\) | |||||||
\(258\) | 3.29339e9i | 0.743301i | ||||||||
\(259\) | 6.45022e9 | − | 5.42211e9i | 1.43343 | − | 1.20495i | ||||
\(260\) | 1.25619e9 | 0.274891 | ||||||||
\(261\) | −1.02976e9 | − | 1.78360e9i | −0.221909 | − | 0.384357i | ||||
\(262\) | 3.54738e9 | + | 2.04808e9i | 0.752840 | + | 0.434652i | ||||
\(263\) | 3.07284e9 | − | 5.32231e9i | 0.642269 | − | 1.11244i | −0.342657 | − | 0.939461i | \(-0.611327\pi\) |
0.984925 | − | 0.172981i | \(-0.0553400\pi\) | |||||||
\(264\) | −1.41561e9 | + | 8.17300e8i | −0.291425 | + | 0.168254i | ||||
\(265\) | 2.94498e9i | 0.597170i | ||||||||
\(266\) | −6.74102e8 | + | 1.85719e9i | −0.134648 | + | 0.370963i | ||||
\(267\) | 5.08513e9 | 1.00059 | ||||||||
\(268\) | 7.49996e8 | + | 1.29903e9i | 0.145385 | + | 0.251814i | ||||
\(269\) | −3.72246e8 | − | 2.14917e8i | −0.0710921 | − | 0.0410451i | 0.464033 | − | 0.885818i | \(-0.346402\pi\) |
−0.535125 | + | 0.844773i | \(0.679735\pi\) | |||||||
\(270\) | −4.36187e8 | + | 7.55497e8i | −0.0820762 | + | 0.142160i | ||||
\(271\) | −4.12961e9 | + | 2.38423e9i | −0.765653 | + | 0.442050i | −0.831322 | − | 0.555791i | \(-0.812415\pi\) |
0.0656684 | + | 0.997841i | \(0.479082\pi\) | |||||||
\(272\) | 2.29991e9i | 0.420180i | ||||||||
\(273\) | 1.83510e9 | + | 6.66081e8i | 0.330376 | + | 0.119916i | ||||
\(274\) | 4.64123e9 | 0.823437 | ||||||||
\(275\) | 3.50641e8 | + | 6.07328e8i | 0.0613101 | + | 0.106192i | ||||
\(276\) | −1.10840e9 | − | 6.39937e8i | −0.191013 | − | 0.110281i | ||||
\(277\) | −4.03571e9 | + | 6.99006e9i | −0.685490 | + | 1.18730i | 0.287793 | + | 0.957693i | \(0.407079\pi\) |
−0.973283 | + | 0.229611i | \(0.926255\pi\) | |||||||
\(278\) | 3.25392e9 | − | 1.87865e9i | 0.544789 | − | 0.314534i | ||||
\(279\) | − | 1.68095e9i | − | 0.277421i | ||||||
\(280\) | −4.74828e9 | − | 5.64862e9i | −0.772510 | − | 0.918988i | ||||
\(281\) | 2.68776e9 | 0.431087 | 0.215543 | − | 0.976494i | \(-0.430848\pi\) | ||||
0.215543 | + | 0.976494i | \(0.430848\pi\) | |||||||
\(282\) | −1.08019e9 | − | 1.87094e9i | −0.170806 | − | 0.295844i | ||||
\(283\) | −3.07841e9 | − | 1.77732e9i | −0.479933 | − | 0.277089i | 0.240456 | − | 0.970660i | \(-0.422703\pi\) |
−0.720388 | + | 0.693571i | \(0.756036\pi\) | |||||||
\(284\) | 1.29031e9 | − | 2.23489e9i | 0.198345 | − | 0.343544i | ||||
\(285\) | −1.87412e9 | + | 1.08203e9i | −0.284066 | + | 0.164005i | ||||
\(286\) | − | 1.68661e9i | − | 0.252087i | ||||||
\(287\) | −5.89453e9 | + | 1.04475e9i | −0.868804 | + | 0.153987i | ||||
\(288\) | 1.73177e9 | 0.251721 | ||||||||
\(289\) | −1.01600e8 | − | 1.75976e8i | −0.0145647 | − | 0.0252268i | ||||
\(290\) | −6.95629e9 | − | 4.01622e9i | −0.983525 | − | 0.567839i | ||||
\(291\) | 1.06255e9 | − | 1.84039e9i | 0.148176 | − | 0.256648i | ||||
\(292\) | −4.62180e9 | + | 2.66840e9i | −0.635740 | + | 0.367045i | ||||
\(293\) | − | 1.16597e9i | − | 0.158203i | −0.996867 | − | 0.0791016i | \(-0.974795\pi\) | ||
0.996867 | − | 0.0791016i | \(-0.0252052\pi\) | |||||||
\(294\) | −1.14112e9 | − | 3.11800e9i | −0.152736 | − | 0.417337i | ||||
\(295\) | −6.77878e9 | −0.895083 | ||||||||
\(296\) | 7.78706e9 | + | 1.34876e10i | 1.01439 | + | 1.75698i | ||||
\(297\) | −6.97652e8 | − | 4.02790e8i | −0.0896629 | − | 0.0517669i | ||||
\(298\) | −3.25595e9 | + | 5.63947e9i | −0.412870 | + | 0.715111i | ||||
\(299\) | 3.95019e9 | − | 2.28065e9i | 0.494235 | − | 0.285347i | ||||
\(300\) | − | 4.34364e8i | − | 0.0536252i | ||||||
\(301\) | −2.39604e9 | − | 1.35186e10i | −0.291896 | − | 1.64690i | ||||
\(302\) | 2.89519e9 | 0.348056 | ||||||||
\(303\) | −1.60188e9 | − | 2.77453e9i | −0.190046 | − | 0.329169i | ||||
\(304\) | −1.61712e9 | − | 9.33643e8i | −0.189342 | − | 0.109317i | ||||
\(305\) | −8.01065e9 | + | 1.38749e10i | −0.925696 | + | 1.60335i | ||||
\(306\) | −1.91963e9 | + | 1.10830e9i | −0.218944 | + | 0.126407i | ||||
\(307\) | 1.55694e10i | 1.75274i | 0.481636 | + | 0.876372i | \(0.340043\pi\) | ||||
−0.481636 | + | 0.876372i | \(0.659957\pi\) | |||||||
\(308\) | 1.51018e9 | − | 1.26947e9i | 0.167814 | − | 0.141066i | ||||
\(309\) | 1.75130e9 | 0.192100 | ||||||||
\(310\) | −3.27798e9 | − | 5.67763e9i | −0.354944 | − | 0.614781i | ||||
\(311\) | −1.28785e10 | − | 7.43543e9i | −1.37665 | − | 0.794812i | −0.384899 | − | 0.922959i | \(-0.625764\pi\) |
−0.991755 | + | 0.128147i | \(0.959097\pi\) | |||||||
\(312\) | −1.80411e9 | + | 3.12481e9i | −0.190390 | + | 0.329766i | ||||
\(313\) | 1.20730e10 | − | 6.97034e9i | 1.25787 | − | 0.726234i | 0.285213 | − | 0.958464i | \(-0.407936\pi\) |
0.972661 | + | 0.232230i | \(0.0746023\pi\) | |||||||
\(314\) | − | 4.45815e9i | − | 0.458602i | ||||||
\(315\) | 1.24080e9 | − | 3.41848e9i | 0.126026 | − | 0.347209i | ||||
\(316\) | 2.92581e8 | 0.0293425 | ||||||||
\(317\) | 8.43967e9 | + | 1.46179e10i | 0.835773 | + | 1.44760i | 0.893400 | + | 0.449263i | \(0.148313\pi\) |
−0.0576270 | + | 0.998338i | \(0.518353\pi\) | |||||||
\(318\) | −2.12096e9 | − | 1.22454e9i | −0.207408 | − | 0.119747i | ||||
\(319\) | 3.70871e9 | − | 6.42367e9i | 0.358146 | − | 0.620327i | ||||
\(320\) | 1.01404e10 | − | 5.85456e9i | 0.967063 | − | 0.558334i | ||||
\(321\) | − | 6.06213e9i | − | 0.570959i | ||||||
\(322\) | −7.29209e9 | − | 2.64679e9i | −0.678310 | − | 0.246205i | ||||
\(323\) | −5.49861e9 | −0.505176 | ||||||||
\(324\) | 2.49482e8 | + | 4.32116e8i | 0.0226391 | + | 0.0392121i | ||||
\(325\) | 1.34062e9 | + | 7.74006e8i | 0.120163 | + | 0.0693762i | ||||
\(326\) | 7.09343e9 | − | 1.22862e10i | 0.628038 | − | 1.08779i | ||||
\(327\) | −8.55883e9 | + | 4.94144e9i | −0.748554 | + | 0.432178i | ||||
\(328\) | − | 1.10644e10i | − | 0.955940i | ||||||
\(329\) | 5.79508e9 | + | 6.89391e9i | 0.494625 | + | 0.588412i | ||||
\(330\) | −3.14187e9 | −0.264931 | ||||||||
\(331\) | 7.48921e8 | + | 1.29717e9i | 0.0623913 | + | 0.108065i | 0.895534 | − | 0.444993i | \(-0.146794\pi\) |
−0.833143 | + | 0.553058i | \(0.813461\pi\) | |||||||
\(332\) | 2.84783e9 | + | 1.64420e9i | 0.234402 | + | 0.135332i | ||||
\(333\) | −3.83769e9 | + | 6.64707e9i | −0.312099 | + | 0.540572i | ||||
\(334\) | −3.66745e9 | + | 2.11740e9i | −0.294699 | + | 0.170144i | ||||
\(335\) | 9.95827e9i | 0.790687i | ||||||||
\(336\) | 3.08983e9 | − | 5.47641e8i | 0.242425 | − | 0.0429674i | ||||
\(337\) | 3.31551e9 | 0.257058 | 0.128529 | − | 0.991706i | \(-0.458974\pi\) | ||||
0.128529 | + | 0.991706i | \(0.458974\pi\) | |||||||
\(338\) | 3.16168e9 | + | 5.47619e9i | 0.242243 | + | 0.419577i | ||||
\(339\) | 6.25527e9 | + | 3.61148e9i | 0.473639 | + | 0.273456i | ||||
\(340\) | 2.97293e9 | − | 5.14926e9i | 0.222469 | − | 0.385327i | ||||
\(341\) | 5.24292e9 | − | 3.02700e9i | 0.387753 | − | 0.223869i | ||||
\(342\) | − | 1.79965e9i | − | 0.131548i | ||||||
\(343\) | 6.95245e9 | + | 1.19685e10i | 0.502298 | + | 0.864695i | ||||
\(344\) | 2.53752e10 | 1.81207 | ||||||||
\(345\) | −4.24847e9 | − | 7.35856e9i | −0.299886 | − | 0.519417i | ||||
\(346\) | 4.83400e9 | + | 2.79091e9i | 0.337289 | + | 0.194734i | ||||
\(347\) | −1.16207e10 | + | 2.01277e10i | −0.801522 | + | 1.38828i | 0.117092 | + | 0.993121i | \(0.462643\pi\) |
−0.918614 | + | 0.395156i | \(0.870691\pi\) | |||||||
\(348\) | −3.97873e9 | + | 2.29712e9i | −0.271286 | + | 0.156627i | ||||
\(349\) | 6.14767e9i | 0.414390i | 0.978300 | + | 0.207195i | \(0.0664334\pi\) | ||||
−0.978300 | + | 0.207195i | \(0.933567\pi\) | |||||||
\(350\) | −4.59470e8 | − | 2.59236e9i | −0.0306186 | − | 0.172752i | ||||
\(351\) | −1.77824e9 | −0.117155 | ||||||||
\(352\) | 3.11851e9 | + | 5.40141e9i | 0.203131 | + | 0.351833i | ||||
\(353\) | −7.32923e9 | − | 4.23153e9i | −0.472019 | − | 0.272520i | 0.245065 | − | 0.969507i | \(-0.421191\pi\) |
−0.717085 | + | 0.696986i | \(0.754524\pi\) | |||||||
\(354\) | 2.81866e9 | − | 4.88206e9i | 0.179485 | − | 0.310878i | ||||
\(355\) | 1.48371e10 | − | 8.56623e9i | 0.934194 | − | 0.539357i | ||||
\(356\) | − | 1.13436e10i | − | 0.706235i | ||||||
\(357\) | 7.07333e9 | − | 5.94591e9i | 0.435463 | − | 0.366054i | ||||
\(358\) | 1.73707e10 | 1.05751 | ||||||||
\(359\) | −3.60495e9 | − | 6.24396e9i | −0.217031 | − | 0.375909i | 0.736868 | − | 0.676037i | \(-0.236304\pi\) |
−0.953899 | + | 0.300128i | \(0.902971\pi\) | |||||||
\(360\) | 5.82101e9 | + | 3.36076e9i | 0.346568 | + | 0.200091i | ||||
\(361\) | −6.25963e9 | + | 1.08420e10i | −0.368570 | + | 0.638382i | ||||
\(362\) | −1.77592e10 | + | 1.02533e10i | −1.03416 | + | 0.597074i | ||||
\(363\) | 7.12326e9i | 0.410254i | ||||||||
\(364\) | 1.48585e9 | − | 4.09360e9i | 0.0846387 | − | 0.233185i | ||||
\(365\) | −3.54303e10 | −1.99620 | ||||||||
\(366\) | −6.66175e9 | − | 1.15385e10i | −0.371248 | − | 0.643020i | ||||
\(367\) | −9.98844e9 | − | 5.76683e9i | −0.550596 | − | 0.317887i | 0.198766 | − | 0.980047i | \(-0.436307\pi\) |
−0.749362 | + | 0.662160i | \(0.769640\pi\) | |||||||
\(368\) | 3.66586e9 | − | 6.34946e9i | 0.199887 | − | 0.346214i | ||||
\(369\) | 4.72229e9 | − | 2.72642e9i | 0.254711 | − | 0.147057i | ||||
\(370\) | 2.99351e10i | 1.59725i | ||||||||
\(371\) | 9.59694e9 | + | 3.48338e9i | 0.506567 | + | 0.183868i | ||||
\(372\) | −3.74976e9 | −0.195809 | ||||||||
\(373\) | −1.73249e10 | − | 3.00077e10i | −0.895028 | − | 1.55023i | −0.833770 | − | 0.552112i | \(-0.813822\pi\) |
−0.0612579 | − | 0.998122i | \(-0.519511\pi\) | |||||||
\(374\) | −6.91361e9 | − | 3.99157e9i | −0.353361 | − | 0.204013i | ||||
\(375\) | −4.88403e9 | + | 8.45940e9i | −0.246975 | + | 0.427774i | ||||
\(376\) | −1.44153e10 | + | 8.32270e9i | −0.721230 | + | 0.416402i | ||||
\(377\) | − | 1.63732e10i | − | 0.810530i | ||||||
\(378\) | 1.94605e9 | + | 2.31504e9i | 0.0953205 | + | 0.113394i | ||||
\(379\) | −8.00514e9 | −0.387982 | −0.193991 | − | 0.981003i | \(-0.562143\pi\) | ||||
−0.193991 | + | 0.981003i | \(0.562143\pi\) | |||||||
\(380\) | 2.41371e9 | + | 4.18067e9i | 0.115758 | + | 0.200498i | ||||
\(381\) | 1.11495e10 | + | 6.43715e9i | 0.529120 | + | 0.305488i | ||||
\(382\) | −3.78549e9 | + | 6.55666e9i | −0.177774 | + | 0.307914i | ||||
\(383\) | 3.01500e10 | − | 1.74071e10i | 1.40118 | − | 0.808970i | 0.406663 | − | 0.913578i | \(-0.366692\pi\) |
0.994513 | + | 0.104609i | \(0.0333590\pi\) | |||||||
\(384\) | 2.57496e8i | 0.0118426i | ||||||||
\(385\) | 1.28967e10 | − | 2.28580e9i | 0.586995 | − | 0.104039i | ||||
\(386\) | 6.82339e8 | 0.0307362 | ||||||||
\(387\) | 6.25281e9 | + | 1.08302e10i | 0.278761 | + | 0.482828i | ||||
\(388\) | −4.10541e9 | − | 2.37026e9i | −0.181146 | − | 0.104585i | ||||
\(389\) | 5.42166e9 | − | 9.39059e9i | 0.236774 | − | 0.410105i | −0.723013 | − | 0.690835i | \(-0.757243\pi\) |
0.959787 | + | 0.280730i | \(0.0905766\pi\) | |||||||
\(390\) | −6.00621e9 | + | 3.46769e9i | −0.259622 | + | 0.149893i | ||||
\(391\) | − | 2.15898e10i | − | 0.923721i | ||||||
\(392\) | −2.40238e10 | + | 8.79215e9i | −1.01741 | + | 0.372349i | ||||
\(393\) | 1.55539e10 | 0.652031 | ||||||||
\(394\) | −6.11254e9 | − | 1.05872e10i | −0.253651 | − | 0.439337i | ||||
\(395\) | 1.68218e9 | + | 9.71205e8i | 0.0691008 | + | 0.0398954i | ||||
\(396\) | −8.98515e8 | + | 1.55627e9i | −0.0365380 | + | 0.0632857i | ||||
\(397\) | −2.22969e10 | + | 1.28731e10i | −0.897598 | + | 0.518228i | −0.876420 | − | 0.481547i | \(-0.840075\pi\) |
−0.0211778 | + | 0.999776i | \(0.506742\pi\) | |||||||
\(398\) | − | 5.44023e9i | − | 0.216813i | ||||||
\(399\) | 1.30930e9 | + | 7.38715e9i | 0.0516590 | + | 0.291464i | ||||
\(400\) | 2.48824e9 | 0.0971968 | ||||||||
\(401\) | −2.16690e10 | − | 3.75319e10i | −0.838035 | − | 1.45152i | −0.891536 | − | 0.452951i | \(-0.850371\pi\) |
0.0535008 | − | 0.998568i | \(-0.482962\pi\) | |||||||
\(402\) | −7.17192e9 | − | 4.14071e9i | −0.274619 | − | 0.158552i | ||||
\(403\) | 6.68180e9 | − | 1.15732e10i | 0.253322 | − | 0.438767i | ||||
\(404\) | −6.18924e9 | + | 3.57336e9i | −0.232333 | + | 0.134138i | ||||
\(405\) | 3.31256e9i | 0.123124i | ||||||||
\(406\) | −2.13159e10 | + | 1.79183e10i | −0.784512 | + | 0.659468i | ||||
\(407\) | −2.76431e10 | −1.00741 | ||||||||
\(408\) | 8.53932e9 | + | 1.47905e10i | 0.308164 | + | 0.533756i | ||||
\(409\) | 2.07477e10 | + | 1.19787e10i | 0.741441 | + | 0.428071i | 0.822593 | − | 0.568631i | \(-0.192527\pi\) |
−0.0811522 | + | 0.996702i | \(0.525860\pi\) | |||||||
\(410\) | 1.06334e10 | − | 1.84176e10i | 0.376303 | − | 0.651775i | ||||
\(411\) | 1.52625e10 | − | 8.81179e9i | 0.534882 | − | 0.308814i | ||||
\(412\) | − | 3.90668e9i | − | 0.135587i | ||||||
\(413\) | −8.01810e9 | + | 2.20904e10i | −0.275595 | + | 0.759281i | ||||
\(414\) | 7.06615e9 | 0.240537 | ||||||||
\(415\) | 1.09156e10 | + | 1.89064e10i | 0.368007 | + | 0.637407i | ||||
\(416\) | 1.19231e10 | + | 6.88379e9i | 0.398121 | + | 0.229855i | ||||
\(417\) | 7.13359e9 | − | 1.23557e10i | 0.235920 | − | 0.408625i | ||||
\(418\) | 5.61313e9 | − | 3.24074e9i | 0.183865 | − | 0.106155i | ||||
\(419\) | − | 2.38523e9i | − | 0.0773882i | −0.999251 | − | 0.0386941i | \(-0.987680\pi\) | ||
0.999251 | − | 0.0386941i | \(-0.0123198\pi\) | |||||||
\(420\) | −7.62571e9 | − | 2.76789e9i | −0.245066 | − | 0.0889512i | ||||
\(421\) | −7.22610e9 | −0.230025 | −0.115013 | − | 0.993364i | \(-0.536691\pi\) | ||||
−0.115013 | + | 0.993364i | \(0.536691\pi\) | |||||||
\(422\) | 5.87861e8 | + | 1.01821e9i | 0.0185364 | + | 0.0321060i | ||||
\(423\) | −7.10430e9 | − | 4.10167e9i | −0.221901 | − | 0.128115i | ||||
\(424\) | −9.43490e9 | + | 1.63417e10i | −0.291927 | + | 0.505632i | ||||
\(425\) | 6.34548e9 | − | 3.66357e9i | 0.194495 | − | 0.112292i | ||||
\(426\) | 1.42476e10i | 0.432615i | ||||||||
\(427\) | 3.57395e10 | + | 4.25162e10i | 1.07507 | + | 1.27892i | ||||
\(428\) | −1.35230e10 | −0.402993 | ||||||||
\(429\) | −3.20218e9 | − | 5.54634e9i | −0.0945402 | − | 0.163749i | ||||
\(430\) | 4.22393e10 | + | 2.43869e10i | 1.23550 | + | 0.713316i | ||||
\(431\) | 1.24772e10 | − | 2.16112e10i | 0.361584 | − | 0.626282i | −0.626638 | − | 0.779311i | \(-0.715569\pi\) |
0.988222 | + | 0.153029i | \(0.0489027\pi\) | |||||||
\(432\) | −2.47536e9 | + | 1.42915e9i | −0.0710728 | + | 0.0410339i | ||||
\(433\) | − | 2.44690e10i | − | 0.696089i | −0.937478 | − | 0.348044i | \(-0.886846\pi\) | ||
0.937478 | − | 0.348044i | \(-0.113154\pi\) | |||||||
\(434\) | −2.23793e10 | + | 3.96650e9i | −0.630793 | + | 0.111802i | ||||
\(435\) | −3.05006e10 | −0.851827 | ||||||||
\(436\) | 1.10230e10 | + | 1.90925e10i | 0.305039 | + | 0.528343i | ||||
\(437\) | 1.51802e10 | + | 8.76432e9i | 0.416249 | + | 0.240321i | ||||
\(438\) | 1.47321e10 | − | 2.55168e10i | 0.400285 | − | 0.693314i | ||||
\(439\) | −1.55993e10 | + | 9.00624e9i | −0.419997 | + | 0.242485i | −0.695076 | − | 0.718936i | \(-0.744629\pi\) |
0.275079 | + | 0.961422i | \(0.411296\pi\) | |||||||
\(440\) | 2.42077e10i | 0.645867i | ||||||||
\(441\) | −9.67233e9 | − | 8.08691e9i | −0.255727 | − | 0.213810i | ||||
\(442\) | −1.76220e10 | −0.461707 | ||||||||
\(443\) | 2.64552e10 | + | 4.58217e10i | 0.686904 | + | 1.18975i | 0.972834 | + | 0.231502i | \(0.0743639\pi\) |
−0.285931 | + | 0.958250i | \(0.592303\pi\) | |||||||
\(444\) | 1.48278e10 | + | 8.56086e9i | 0.381545 | + | 0.220285i | ||||
\(445\) | 3.76543e10 | − | 6.52191e10i | 0.960227 | − | 1.66316i | ||||
\(446\) | 1.09773e10 | − | 6.33777e9i | 0.277433 | − | 0.160176i | ||||
\(447\) | 2.47269e10i | 0.619355i | ||||||||
\(448\) | −7.08426e9 | − | 3.99699e10i | −0.175866 | − | 0.992250i | ||||
\(449\) | 2.18030e10 | 0.536451 | 0.268226 | − | 0.963356i | \(-0.413563\pi\) | ||||
0.268226 | + | 0.963356i | \(0.413563\pi\) | |||||||
\(450\) | 1.19906e9 | + | 2.07682e9i | 0.0292408 | + | 0.0506465i | ||||
\(451\) | 1.70075e10 | + | 9.81926e9i | 0.411086 | + | 0.237341i | ||||
\(452\) | 8.05625e9 | − | 1.39538e10i | 0.193010 | − | 0.334303i | ||||
\(453\) | 9.52071e9 | − | 5.49679e9i | 0.226088 | − | 0.130532i | ||||
\(454\) | − | 5.96857e10i | − | 1.40491i | ||||||
\(455\) | 2.21313e10 | − | 1.86037e10i | 0.516370 | − | 0.434065i | ||||
\(456\) | −1.38661e10 | −0.320696 | ||||||||
\(457\) | −6.11374e9 | − | 1.05893e10i | −0.140166 | − | 0.242774i | 0.787393 | − | 0.616451i | \(-0.211430\pi\) |
−0.927559 | + | 0.373677i | \(0.878097\pi\) | |||||||
\(458\) | 2.91725e10 | + | 1.68428e10i | 0.662998 | + | 0.382782i | ||||
\(459\) | −4.20842e9 | + | 7.28920e9i | −0.0948132 | + | 0.164221i | ||||
\(460\) | −1.64150e10 | + | 9.47719e9i | −0.366614 | + | 0.211665i | ||||
\(461\) | 2.03062e10i | 0.449599i | 0.974405 | + | 0.224799i | \(0.0721727\pi\) | ||||
−0.974405 | + | 0.224799i | \(0.927827\pi\) | |||||||
\(462\) | −3.71628e9 | + | 1.02386e10i | −0.0815719 | + | 0.224736i | ||||
\(463\) | −6.13108e9 | −0.133418 | −0.0667088 | − | 0.997772i | \(-0.521250\pi\) | ||||
−0.0667088 | + | 0.997772i | \(0.521250\pi\) | |||||||
\(464\) | −1.31590e10 | − | 2.27920e10i | −0.283890 | − | 0.491712i | ||||
\(465\) | −2.15590e10 | − | 1.24471e10i | −0.461123 | − | 0.266230i | ||||
\(466\) | 7.47745e9 | − | 1.29513e10i | 0.158566 | − | 0.274644i | ||||
\(467\) | −1.81078e10 | + | 1.04546e10i | −0.380714 | + | 0.219805i | −0.678129 | − | 0.734943i | \(-0.737209\pi\) |
0.297415 | + | 0.954748i | \(0.403875\pi\) | |||||||
\(468\) | 3.96677e9i | 0.0826901i | ||||||||
\(469\) | 3.24515e10 | + | 1.17789e10i | 0.670724 | + | 0.243451i | ||||
\(470\) | −3.19942e10 | −0.655662 | ||||||||
\(471\) | −8.46420e9 | − | 1.46604e10i | −0.171990 | − | 0.297895i | ||||
\(472\) | −3.76156e10 | − | 2.17174e10i | −0.757879 | − | 0.437562i | ||||
\(473\) | −2.25197e10 | + | 3.90052e10i | −0.449901 | + | 0.779252i | ||||
\(474\) | −1.39892e9 | + | 8.07665e8i | −0.0277127 | + | 0.0159999i | ||||
\(475\) | 5.94887e9i | 0.116858i | ||||||||
\(476\) | −1.32637e10 | − | 1.57787e10i | −0.258367 | − | 0.307357i | ||||
\(477\) | −9.29959e9 | −0.179635 | ||||||||
\(478\) | 9.72447e9 | + | 1.68433e10i | 0.186275 | + | 0.322637i | ||||
\(479\) | 4.68705e10 | + | 2.70607e10i | 0.890343 | + | 0.514040i | 0.874055 | − | 0.485827i | \(-0.161482\pi\) |
0.0162884 | + | 0.999867i | \(0.494815\pi\) | |||||||
\(480\) | 1.28234e10 | − | 2.22107e10i | 0.241567 | − | 0.418406i | ||||
\(481\) | −5.28443e10 | + | 3.05097e10i | −0.987229 | + | 0.569977i | ||||
\(482\) | 3.72371e10i | 0.689903i | ||||||||
\(483\) | −2.90049e10 | + | 5.14082e9i | −0.532946 | + | 0.0944592i | ||||
\(484\) | 1.58901e10 | 0.289564 | ||||||||
\(485\) | −1.57359e10 | − | 2.72553e10i | −0.284396 | − | 0.492589i | ||||
\(486\) | −2.38570e9 | − | 1.37738e9i | −0.0427632 | − | 0.0246893i | ||||
\(487\) | −3.39854e10 | + | 5.88645e10i | −0.604195 | + | 1.04650i | 0.387984 | + | 0.921666i | \(0.373172\pi\) |
−0.992178 | + | 0.124829i | \(0.960162\pi\) | |||||||
\(488\) | −8.89026e10 | + | 5.13279e10i | −1.56760 | + | 0.905054i | ||||
\(489\) | − | 5.38701e10i | − | 0.942134i | ||||||
\(490\) | −4.84395e10 | − | 8.45280e9i | −0.840264 | − | 0.146628i | ||||
\(491\) | 4.32393e10 | 0.743965 | 0.371982 | − | 0.928240i | \(-0.378678\pi\) | ||||
0.371982 | + | 0.928240i | \(0.378678\pi\) | |||||||
\(492\) | −6.08191e9 | − | 1.05342e10i | −0.103796 | − | 0.179779i | ||||
\(493\) | −6.71158e10 | − | 3.87493e10i | −1.13615 | − | 0.655959i | ||||
\(494\) | 7.15362e9 | − | 1.23904e10i | 0.120121 | − | 0.208055i | ||||
\(495\) | −1.03319e10 | + | 5.96513e9i | −0.172092 | + | 0.0993572i | ||||
\(496\) | − | 2.14804e10i | − | 0.354907i | ||||||
\(497\) | −1.03655e10 | − | 5.84829e10i | −0.169889 | − | 0.958525i | ||||
\(498\) | −1.81551e10 | −0.295177 | ||||||||
\(499\) | −1.58775e10 | − | 2.75007e10i | −0.256083 | − | 0.443549i | 0.709106 | − | 0.705102i | \(-0.249099\pi\) |
−0.965189 | + | 0.261553i | \(0.915765\pi\) | |||||||
\(500\) | 1.88706e10 | + | 1.08950e10i | 0.301930 | + | 0.174320i | ||||
\(501\) | −8.04017e9 | + | 1.39260e10i | −0.127619 | + | 0.221042i | ||||
\(502\) | 5.78615e10 | − | 3.34063e10i | 0.911118 | − | 0.526034i | ||||
\(503\) | − | 8.94883e8i | − | 0.0139796i | −0.999976 | − | 0.00698979i | \(-0.997775\pi\) | ||
0.999976 | − | 0.00698979i | \(-0.00222494\pi\) | |||||||
\(504\) | 1.78371e10 | − | 1.49940e10i | 0.276441 | − | 0.232379i | ||||
\(505\) | −4.74462e10 | −0.729518 | ||||||||
\(506\) | 1.27245e10 | + | 2.20394e10i | 0.194105 | + | 0.336200i | ||||
\(507\) | 2.07941e10 | + | 1.20055e10i | 0.314708 | + | 0.181697i | ||||
\(508\) | 1.43596e10 | − | 2.48715e10i | 0.215619 | − | 0.373462i | ||||
\(509\) | 2.33944e10 | − | 1.35068e10i | 0.348530 | − | 0.201224i | −0.315508 | − | 0.948923i | \(-0.602175\pi\) |
0.664038 | + | 0.747699i | \(0.268841\pi\) | |||||||
\(510\) | 3.28269e10i | 0.485232i | ||||||||
\(511\) | −4.19078e10 | + | 1.15459e11i | −0.614626 | + | 1.69333i | ||||
\(512\) | 5.38785e10 | 0.784035 | ||||||||
\(513\) | −3.41680e9 | − | 5.91807e9i | −0.0493345 | − | 0.0854498i | ||||
\(514\) | 1.40340e10 | + | 8.10255e9i | 0.201062 | + | 0.116083i | ||||
\(515\) | 1.29680e10 | − | 2.24612e10i | 0.184350 | − | 0.319304i | ||||
\(516\) | 2.41592e10 | − | 1.39483e10i | 0.340788 | − | 0.196754i | ||||
\(517\) | − | 2.95445e10i | − | 0.413538i | ||||||
\(518\) | 9.75509e10 | + | 3.54079e10i | 1.35492 | + | 0.491791i | ||||
\(519\) | 2.11952e10 | 0.292125 | ||||||||
\(520\) | 2.67181e10 | + | 4.62771e10i | 0.365420 | + | 0.632925i | ||||
\(521\) | 5.11210e10 | + | 2.95147e10i | 0.693822 | + | 0.400578i | 0.805042 | − | 0.593217i | \(-0.202143\pi\) |
−0.111220 | + | 0.993796i | \(0.535476\pi\) | |||||||
\(522\) | 1.26823e10 | − | 2.19665e10i | 0.170812 | − | 0.295854i | ||||
\(523\) | 1.78755e10 | − | 1.03205e10i | 0.238920 | − | 0.137941i | −0.375760 | − | 0.926717i | \(-0.622618\pi\) |
0.614680 | + | 0.788776i | \(0.289285\pi\) | |||||||
\(524\) | − | 3.46965e10i | − | 0.460215i | ||||||
\(525\) | −6.43279e9 | − | 7.65253e9i | −0.0846764 | − | 0.100732i | ||||
\(526\) | 7.56889e10 | 0.988757 | ||||||||
\(527\) | −3.16267e10 | − | 5.47790e10i | −0.410026 | − | 0.710185i | ||||
\(528\) | −8.91506e9 | − | 5.14712e9i | −0.114707 | − | 0.0662259i | ||||
\(529\) | 4.74326e9 | − | 8.21557e9i | 0.0605696 | − | 0.104910i | ||||
\(530\) | −3.14105e10 | + | 1.81349e10i | −0.398081 | + | 0.229832i | ||||
\(531\) | − | 2.14059e10i | − | 0.269250i | ||||||
\(532\) | 1.64787e10 | − | 2.92069e9i | 0.205720 | − | 0.0364619i | ||||
\(533\) | 4.33501e10 | 0.537132 | ||||||||
\(534\) | 3.13137e10 | + | 5.42370e10i | 0.385097 | + | 0.667007i | ||||
\(535\) | −7.77495e10 | − | 4.48887e10i | −0.949036 | − | 0.547926i | ||||
\(536\) | −3.19036e10 | + | 5.52587e10i | −0.386528 | + | 0.669486i | ||||
\(537\) | 5.71229e10 | − | 3.29799e10i | 0.686931 | − | 0.396600i | ||||
\(538\) | − | 5.29374e9i | − | 0.0631878i | ||||||
\(539\) | 7.80560e9 | − | 4.47307e10i | 0.0924807 | − | 0.529969i | ||||
\(540\) | 7.38944e9 | 0.0869033 | ||||||||
\(541\) | 6.80843e9 | + | 1.17926e10i | 0.0794800 | + | 0.137663i | 0.903026 | − | 0.429587i | \(-0.141341\pi\) |
−0.823546 | + | 0.567250i | \(0.808007\pi\) | |||||||
\(542\) | −5.08595e10 | − | 2.93637e10i | −0.589352 | − | 0.340263i | ||||
\(543\) | −3.89335e10 | + | 6.74349e10i | −0.447842 | + | 0.775685i | ||||
\(544\) | 5.64350e10 | − | 3.25828e10i | 0.644396 | − | 0.372042i | ||||
\(545\) | 1.46361e11i | 1.65897i | ||||||||
\(546\) | 4.19605e9 | + | 2.36744e10i | 0.0472139 | + | 0.266384i | ||||
\(547\) | 5.06240e10 | 0.565467 | 0.282734 | − | 0.959198i | \(-0.408759\pi\) | ||||
0.282734 | + | 0.959198i | \(0.408759\pi\) | |||||||
\(548\) | −1.96567e10 | − | 3.40465e10i | −0.217966 | − | 0.377529i | ||||
\(549\) | −4.38138e10 | − | 2.52959e10i | −0.482305 | − | 0.278459i | ||||
\(550\) | −4.31842e9 | + | 7.47973e9i | −0.0471927 | + | 0.0817401i | ||||
\(551\) | 5.44910e10 | − | 3.14604e10i | 0.591179 | − | 0.341317i | ||||
\(552\) | − | 5.44438e10i | − | 0.586397i | ||||||
\(553\) | 5.15463e9 | − | 4.33303e9i | 0.0551185 | − | 0.0463331i | ||||
\(554\) | −9.94061e10 | −1.05529 | ||||||||
\(555\) | 5.68345e10 | + | 9.84402e10i | 0.599018 | + | 1.03753i | ||||
\(556\) | −2.75624e10 | − | 1.59131e10i | −0.288415 | − | 0.166516i | ||||
\(557\) | −4.04371e10 | + | 7.00392e10i | −0.420107 | + | 0.727646i | −0.995950 | − | 0.0899142i | \(-0.971341\pi\) |
0.575843 | + | 0.817560i | \(0.304674\pi\) | |||||||
\(558\) | 1.79287e10 | − | 1.03512e10i | 0.184932 | − | 0.106771i | ||||
\(559\) | 9.94199e10i | 1.01818i | ||||||||
\(560\) | 1.58558e10 | − | 4.36836e10i | 0.161226 | − | 0.444188i | ||||
\(561\) | −3.03135e10 | −0.306044 | ||||||||
\(562\) | 1.65509e10 | + | 2.86671e10i | 0.165912 | + | 0.287368i | ||||
\(563\) | −4.93301e10 | − | 2.84808e10i | −0.490997 | − | 0.283477i | 0.233991 | − | 0.972239i | \(-0.424821\pi\) |
−0.724988 | + | 0.688762i | \(0.758155\pi\) | |||||||
\(564\) | −9.14973e9 | + | 1.58478e10i | −0.0904257 | + | 0.156622i | ||||
\(565\) | 9.26378e10 | − | 5.34845e10i | 0.909064 | − | 0.524848i | ||||
\(566\) | − | 4.37782e10i | − | 0.426572i | ||||||
\(567\) | 1.07948e10 | + | 3.91817e9i | 0.104444 | + | 0.0379098i | ||||
\(568\) | 1.09776e11 | 1.05466 | ||||||||
\(569\) | −4.64899e10 | − | 8.05228e10i | −0.443516 | − | 0.768192i | 0.554432 | − | 0.832229i | \(-0.312936\pi\) |
−0.997948 | + | 0.0640371i | \(0.979602\pi\) | |||||||
\(570\) | −2.30813e10 | − | 1.33260e10i | −0.218656 | − | 0.126241i | ||||
\(571\) | −8.15655e10 | + | 1.41276e11i | −0.767294 | + | 1.32899i | 0.171731 | + | 0.985144i | \(0.445064\pi\) |
−0.939025 | + | 0.343849i | \(0.888269\pi\) | |||||||
\(572\) | −1.23724e10 | + | 7.14321e9i | −0.115577 | + | 0.0667282i | ||||
\(573\) | 2.87484e10i | 0.266683i | ||||||||
\(574\) | −4.74410e10 | − | 5.64364e10i | −0.437025 | − | 0.519891i | ||||
\(575\) | −2.33576e10 | −0.213677 | ||||||||
\(576\) | 1.84874e10 | + | 3.20212e10i | 0.167953 | + | 0.290902i | ||||
\(577\) | −2.74753e10 | − | 1.58629e10i | −0.247879 | − | 0.143113i | 0.370914 | − | 0.928667i | \(-0.379044\pi\) |
−0.618792 | + | 0.785554i | \(0.712378\pi\) | |||||||
\(578\) | 1.25128e9 | − | 2.16729e9i | 0.0112110 | − | 0.0194180i | ||||
\(579\) | 2.24384e9 | − | 1.29548e9i | 0.0199654 | − | 0.0115270i | ||||
\(580\) | 6.80387e10i | 0.601235i | ||||||||
\(581\) | 7.45226e10 | − | 1.32084e10i | 0.654008 | − | 0.115916i | ||||
\(582\) | 2.61723e10 | 0.228113 | ||||||||
\(583\) | −1.67464e10 | − | 2.90055e10i | −0.144959 | − | 0.251077i | ||||
\(584\) | −1.96604e11 | − | 1.13509e11i | −1.69021 | − | 0.975842i | ||||
\(585\) | −1.31675e10 | + | 2.28067e10i | −0.112429 | + | 0.194733i | ||||
\(586\) | 1.24360e10 | − | 7.17990e9i | 0.105460 | − | 0.0608875i | ||||
\(587\) | − | 1.86947e11i | − | 1.57458i | −0.616582 | − | 0.787291i | \(-0.711483\pi\) | ||
0.616582 | − | 0.787291i | \(-0.288517\pi\) | |||||||
\(588\) | −1.80397e10 | + | 2.15764e10i | −0.150911 | + | 0.180497i | ||||
\(589\) | 5.13551e10 | 0.426700 | ||||||||
\(590\) | −4.17431e10 | − | 7.23011e10i | −0.344490 | − | 0.596674i | ||||
\(591\) | −4.02017e10 | − | 2.32104e10i | −0.329529 | − | 0.190254i | ||||
\(592\) | −4.90406e10 | + | 8.49408e10i | −0.399272 | + | 0.691559i | ||||
\(593\) | −1.78206e11 | + | 1.02887e11i | −1.44113 | + | 0.832039i | −0.997926 | − | 0.0643792i | \(-0.979493\pi\) |
−0.443209 | + | 0.896418i | \(0.646160\pi\) | |||||||
\(594\) | − | 9.92135e9i | − | 0.0796939i | ||||||
\(595\) | −2.38825e10 | − | 1.34747e11i | −0.190551 | − | 1.07510i | ||||
\(596\) | 5.51591e10 | 0.437151 | ||||||||
\(597\) | −1.03288e10 | − | 1.78900e10i | −0.0813114 | − | 0.140835i | ||||
\(598\) | 4.86498e10 | + | 2.80880e10i | 0.380432 | + | 0.219642i | ||||
\(599\) | −1.95751e10 | + | 3.39051e10i | −0.152054 | + | 0.263364i | −0.931982 | − | 0.362504i | \(-0.881922\pi\) |
0.779929 | + | 0.625868i | \(0.215255\pi\) | |||||||
\(600\) | 1.60017e10 | − | 9.23856e9i | 0.123470 | − | 0.0712852i | ||||
\(601\) | 1.52677e11i | 1.17024i | 0.810946 | + | 0.585121i | \(0.198953\pi\) | ||||
−0.810946 | + | 0.585121i | \(0.801047\pi\) | |||||||
\(602\) | 1.29432e11 | − | 1.08802e11i | 0.985500 | − | 0.828421i | ||||
\(603\) | −3.14461e10 | −0.237847 | ||||||||
\(604\) | −1.22619e10 | − | 2.12382e10i | −0.0921316 | − | 0.159577i | ||||
\(605\) | 9.13590e10 | + | 5.27462e10i | 0.681915 | + | 0.393704i | ||||
\(606\) | 1.97284e10 | − | 3.41706e10i | 0.146286 | − | 0.253374i | ||||
\(607\) | 9.72972e10 | − | 5.61746e10i | 0.716713 | − | 0.413795i | −0.0968285 | − | 0.995301i | \(-0.530870\pi\) |
0.813542 | + | 0.581506i | \(0.197536\pi\) | |||||||
\(608\) | 5.29076e10i | 0.387172i | ||||||||
\(609\) | −3.60768e10 | + | 9.93939e10i | −0.262276 | + | 0.722588i | ||||
\(610\) | −1.97315e11 | −1.42509 | ||||||||
\(611\) | −3.26083e10 | − | 5.64793e10i | −0.233972 | − | 0.405251i | ||||
\(612\) | 1.62603e10 | + | 9.38787e9i | 0.115910 | + | 0.0669208i | ||||
\(613\) | 1.13358e11 | − | 1.96341e11i | 0.802803 | − | 1.39050i | −0.114961 | − | 0.993370i | \(-0.536674\pi\) |
0.917764 | − | 0.397126i | \(-0.129992\pi\) | |||||||
\(614\) | −1.66060e11 | + | 9.58748e10i | −1.16840 | + | 0.674576i | ||||
\(615\) | − | 8.07541e10i | − | 0.564500i | ||||||
\(616\) | 7.88869e10 | + | 2.86334e10i | 0.547876 | + | 0.198861i | ||||
\(617\) | 3.86668e10 | 0.266807 | 0.133403 | − | 0.991062i | \(-0.457409\pi\) | ||||
0.133403 | + | 0.991062i | \(0.457409\pi\) | |||||||
\(618\) | 1.07843e10 | + | 1.86790e10i | 0.0739332 | + | 0.128056i | ||||
\(619\) | 1.89244e10 | + | 1.09260e10i | 0.128902 | + | 0.0744216i | 0.563064 | − | 0.826413i | \(-0.309622\pi\) |
−0.434162 | + | 0.900835i | \(0.642956\pi\) | |||||||
\(620\) | −2.77661e10 | + | 4.80924e10i | −0.187909 | + | 0.325469i | ||||
\(621\) | 2.32367e10 | − | 1.34157e10i | 0.156246 | − | 0.0902086i | ||||
\(622\) | − | 1.83146e11i | − | 1.22359i | ||||||
\(623\) | −1.67994e11 | − | 1.99849e11i | −1.11517 | − | 1.32663i | ||||
\(624\) | −2.27235e10 | −0.149878 | ||||||||
\(625\) | 8.97199e10 | + | 1.55399e11i | 0.587988 | + | 1.01843i | ||||
\(626\) | 1.48688e11 | + | 8.58453e10i | 0.968233 | + | 0.559010i | ||||
\(627\) | 1.23057e10 | − | 2.13141e10i | 0.0796225 | − | 0.137910i | ||||
\(628\) | −3.27035e10 | + | 1.88814e10i | −0.210259 | + | 0.121393i | ||||
\(629\) | 2.88820e11i | 1.84512i | ||||||||
\(630\) | 4.41015e10 | − | 7.81655e9i | 0.279957 | − | 0.0496195i | ||||
\(631\) | −1.04547e11 | −0.659469 | −0.329735 | − | 0.944074i | \(-0.606959\pi\) | ||||
−0.329735 | + | 0.944074i | \(0.606959\pi\) | |||||||
\(632\) | 6.22296e9 | + | 1.07785e10i | 0.0390057 | + | 0.0675599i | ||||
\(633\) | 3.86631e9 | + | 2.23222e9i | 0.0240814 | + | 0.0139034i | ||||
\(634\) | −1.03941e11 | + | 1.80032e11i | −0.643326 | + | 1.11427i | ||||
\(635\) | 1.65119e11 | − | 9.53314e10i | 1.01555 | − | 0.586328i | ||||
\(636\) | 2.07449e10i | 0.126789i | ||||||||
\(637\) | −3.44476e10 | − | 9.41252e10i | −0.209219 | − | 0.571674i | ||||
\(638\) | 9.13515e10 | 0.551357 | ||||||||
\(639\) | 2.70503e10 | + | 4.68525e10i | 0.162244 | + | 0.281015i | ||||
\(640\) | 3.30250e9 | + | 1.90670e9i | 0.0196845 | + | 0.0113648i | ||||
\(641\) | −3.72418e10 | + | 6.45048e10i | −0.220597 | + | 0.382085i | −0.954989 | − | 0.296640i | \(-0.904134\pi\) |
0.734393 | + | 0.678725i | \(0.237467\pi\) | |||||||
\(642\) | 6.46574e10 | − | 3.73300e10i | 0.380608 | − | 0.219744i | ||||
\(643\) | 8.61211e9i | 0.0503809i | 0.999683 | + | 0.0251904i | \(0.00801921\pi\) | ||||
−0.999683 | + | 0.0251904i | \(0.991981\pi\) | |||||||
\(644\) | 1.14678e10 | + | 6.47022e10i | 0.0666710 | + | 0.376162i | ||||
\(645\) | 1.85203e11 | 1.07006 | ||||||||
\(646\) | −3.38599e10 | − | 5.86471e10i | −0.194427 | − | 0.336757i | ||||
\(647\) | 1.13712e11 | + | 6.56517e10i | 0.648917 | + | 0.374653i | 0.788041 | − | 0.615622i | \(-0.211095\pi\) |
−0.139124 | + | 0.990275i | \(0.544429\pi\) | |||||||
\(648\) | −1.06126e10 | + | 1.83815e10i | −0.0601894 | + | 0.104251i | ||||
\(649\) | 6.67653e10 | − | 3.85470e10i | 0.376333 | − | 0.217276i | ||||
\(650\) | 1.90650e10i | 0.106803i | ||||||||
\(651\) | −6.60625e10 | + | 5.55327e10i | −0.367816 | + | 0.309190i | ||||
\(652\) | −1.20170e11 | −0.664975 | ||||||||
\(653\) | 6.27850e10 | + | 1.08747e11i | 0.345305 | + | 0.598086i | 0.985409 | − | 0.170202i | \(-0.0544421\pi\) |
−0.640104 | + | 0.768288i | \(0.721109\pi\) | |||||||
\(654\) | −1.05409e11 | − | 6.08578e10i | −0.576190 | − | 0.332664i | ||||
\(655\) | 1.15173e11 | − | 1.99485e11i | 0.625728 | − | 1.08379i | ||||
\(656\) | 6.03446e10 | − | 3.48400e10i | 0.325854 | − | 0.188132i | ||||
\(657\) | − | 1.11881e11i | − | 0.600476i | ||||||
\(658\) | −3.78435e10 | + | 1.04261e11i | −0.201877 | + | 0.556185i | ||||
\(659\) | 3.01394e11 | 1.59806 | 0.799029 | − | 0.601292i | \(-0.205347\pi\) | ||||
0.799029 | + | 0.601292i | \(0.205347\pi\) | |||||||
\(660\) | 1.33066e10 | + | 2.30477e10i | 0.0701281 | + | 0.121465i | ||||
\(661\) | −1.35322e11 | − | 7.81282e10i | −0.708863 | − | 0.409262i | 0.101777 | − | 0.994807i | \(-0.467547\pi\) |
−0.810640 | + | 0.585545i | \(0.800881\pi\) | |||||||
\(662\) | −9.22356e9 | + | 1.59757e10i | −0.0480249 | + | 0.0831816i | ||||
\(663\) | −5.79493e10 | + | 3.34570e10i | −0.299912 | + | 0.173154i | ||||
\(664\) | 1.39883e11i | 0.719602i | ||||||||
\(665\) | 1.04439e11 | + | 3.79079e10i | 0.534040 | + | 0.193840i | ||||
\(666\) | −9.45285e10 | −0.480469 | ||||||||
\(667\) | 1.23526e11 | + | 2.13954e11i | 0.624102 | + | 1.08098i | ||||
\(668\) | 3.10651e10 | + | 1.79355e10i | 0.156015 | + | 0.0900755i | ||||
\(669\) | 2.40657e10 | − | 4.16830e10i | 0.120142 | − | 0.208092i | ||||
\(670\) | −1.06213e11 | + | 6.13220e10i | −0.527082 | + | 0.304311i | ||||
\(671\) | − | 1.82208e11i | − | 0.898827i | ||||||
\(672\) | −5.72115e10 | − | 6.80596e10i | −0.280547 | − | 0.333743i | ||||
\(673\) | 1.83722e10 | 0.0895575 | 0.0447787 | − | 0.998997i | \(-0.485742\pi\) | ||||
0.0447787 | + | 0.998997i | \(0.485742\pi\) | |||||||
\(674\) | 2.04166e10 | + | 3.53626e10i | 0.0989337 | + | 0.171358i | ||||
\(675\) | 7.88608e9 | + | 4.55303e9i | 0.0379880 | + | 0.0219324i | ||||
\(676\) | 2.67810e10 | − | 4.63860e10i | 0.128245 | − | 0.222127i | ||||
\(677\) | −2.19669e11 | + | 1.26826e11i | −1.04572 | + | 0.603745i | −0.921447 | − | 0.388503i | \(-0.872992\pi\) |
−0.124270 | + | 0.992248i | \(0.539659\pi\) | |||||||
\(678\) | 8.89566e10i | 0.420978i | ||||||||
\(679\) | −1.07431e11 | + | 1.90411e10i | −0.505418 | + | 0.0895803i | ||||
\(680\) | 2.52927e11 | 1.18293 | ||||||||
\(681\) | −1.13319e11 | − | 1.96274e11i | −0.526883 | − | 0.912587i | ||||
\(682\) | 6.45707e10 | + | 3.72799e10i | 0.298468 | + | 0.172321i | ||||
\(683\) | 1.33944e11 | − | 2.31998e11i | 0.615519 | − | 1.06611i | −0.374774 | − | 0.927116i | \(-0.622280\pi\) |
0.990293 | − | 0.138994i | \(-0.0443869\pi\) | |||||||
\(684\) | −1.32016e10 | + | 7.62197e9i | −0.0603119 | + | 0.0348211i | ||||
\(685\) | − | 2.60998e11i | − | 1.18542i | ||||||
\(686\) | −8.48409e10 | + | 1.47854e11i | −0.383097 | + | 0.667632i | ||||
\(687\) | 1.27910e11 | 0.574220 | ||||||||
\(688\) | 7.99026e10 | + | 1.38395e11i | 0.356621 | + | 0.617686i | ||||
\(689\) | −6.40269e10 | − | 3.69659e10i | −0.284109 | − | 0.164031i | ||||
\(690\) | 5.23233e10 | − | 9.06266e10i | 0.230833 | − | 0.399815i | ||||
\(691\) | −3.41080e10 | + | 1.96922e10i | −0.149604 | + | 0.0863740i | −0.572933 | − | 0.819602i | \(-0.694195\pi\) |
0.423329 | + | 0.905976i | \(0.360861\pi\) | |||||||
\(692\) | − | 4.72809e10i | − | 0.206187i | ||||||
\(693\) | 7.21807e9 | + | 4.07248e10i | 0.0312959 | + | 0.176574i | ||||
\(694\) | −2.86237e11 | −1.23392 | ||||||||
\(695\) | −1.05645e11 | − | 1.82983e11i | −0.452805 | − | 0.784281i | ||||
\(696\) | −1.69249e11 | − | 9.77157e10i | −0.721254 | − | 0.416416i | ||||
\(697\) | 1.02594e11 | − | 1.77697e11i | 0.434699 | − | 0.752921i | ||||
\(698\) | −6.55698e10 | + | 3.78568e10i | −0.276237 | + | 0.159486i | ||||
\(699\) | − | 5.67865e10i | − | 0.237868i | ||||||
\(700\) | −1.70708e10 | + | 1.43498e10i | −0.0710985 | + | 0.0597661i | ||||
\(701\) | −1.69041e11 | −0.700036 | −0.350018 | − | 0.936743i | \(-0.613825\pi\) | ||||
−0.350018 | + | 0.936743i | \(0.613825\pi\) | |||||||
\(702\) | −1.09502e10 | − | 1.89663e10i | −0.0450893 | − | 0.0780970i | ||||
\(703\) | −2.03076e11 | − | 1.17246e11i | −0.831452 | − | 0.480039i | ||||
\(704\) | −6.65829e10 | + | 1.15325e11i | −0.271064 | + | 0.469497i | ||||
\(705\) | −1.05212e11 | + | 6.07439e10i | −0.425900 | + | 0.245893i | ||||
\(706\) | − | 1.04229e11i | − | 0.419539i | ||||||
\(707\) | −5.61204e10 | + | 1.54615e11i | −0.224617 | + | 0.618835i | ||||
\(708\) | −4.77509e10 | −0.190041 | ||||||||
\(709\) | 1.06387e11 | + | 1.84268e11i | 0.421021 | + | 0.729229i | 0.996040 | − | 0.0889111i | \(-0.0283387\pi\) |
−0.575019 | + | 0.818140i | \(0.695005\pi\) | |||||||
\(710\) | 1.82731e11 | + | 1.05500e11i | 0.719084 | + | 0.415163i | ||||
\(711\) | −3.06685e9 | + | 5.31195e9i | −0.0120009 | + | 0.0207862i | ||||
\(712\) | 4.17889e11 | − | 2.41268e11i | 1.62608 | − | 0.938815i | ||||
\(713\) | 2.01641e11i | 0.780226i | ||||||||
\(714\) | 1.06975e11 | + | 3.88284e10i | 0.411612 | + | 0.149402i | ||||
\(715\) | −9.48458e10 | −0.362906 | ||||||||
\(716\) | −7.35694e10 | − | 1.27426e11i | −0.279927 | − | 0.484848i | ||||
\(717\) | 6.39570e10 | + | 3.69256e10i | 0.241998 | + | 0.139717i | ||||
\(718\) | 4.43979e10 | − | 7.68994e10i | 0.167057 | − | 0.289351i | ||||
\(719\) | −3.83519e11 | + | 2.21425e11i | −1.43507 | + | 0.828535i | −0.997501 | − | 0.0706518i | \(-0.977492\pi\) |
−0.437564 | + | 0.899187i | \(0.644159\pi\) | |||||||
\(720\) | 4.23301e10i | 0.157514i | ||||||||
\(721\) | −5.78567e10 | − | 6.88271e10i | −0.214098 | − | 0.254694i | ||||
\(722\) | −1.54185e11 | −0.567404 | ||||||||
\(723\) | 7.06981e10 | + | 1.22453e11i | 0.258735 | + | 0.448142i | ||||
\(724\) | 1.50429e11 | + | 8.68503e10i | 0.547492 | + | 0.316095i | ||||
\(725\) | −4.19223e10 | + | 7.26116e10i | −0.151738 | + | 0.262817i | ||||
\(726\) | −7.59753e10 | + | 4.38643e10i | −0.273480 | + | 0.157894i | ||||
\(727\) | − | 8.87622e10i | − | 0.317754i | −0.987298 | − | 0.158877i | \(-0.949213\pi\) | ||
0.987298 | − | 0.158877i | \(-0.0507873\pi\) | |||||||
\(728\) | 1.82408e11 | − | 3.23300e10i | 0.649410 | − | 0.115101i | ||||
\(729\) | −1.04604e10 | −0.0370370 | ||||||||
\(730\) | −2.18176e11 | − | 3.77893e11i | −0.768274 | − | 1.33069i | ||||
\(731\) | 4.07534e11 | + | 2.35290e11i | 1.42723 | + | 0.824012i | ||||
\(732\) | −5.64284e10 | + | 9.77368e10i | −0.196541 | + | 0.340419i | ||||
\(733\) | −4.76316e11 | + | 2.75001e11i | −1.64998 | + | 0.952619i | −0.672908 | + | 0.739726i | \(0.734955\pi\) |
−0.977076 | + | 0.212893i | \(0.931711\pi\) | |||||||
\(734\) | − | 1.42046e11i | − | 0.489379i | ||||||
\(735\) | −1.75340e11 | + | 6.41702e10i | −0.600802 | + | 0.219879i | ||||
\(736\) | −2.07737e11 | −0.707948 | ||||||||
\(737\) | −5.66269e10 | − | 9.80806e10i | −0.191934 | − | 0.332440i | ||||
\(738\) | 5.81588e10 | + | 3.35780e10i | 0.196061 | + | 0.113196i | ||||
\(739\) | 7.88531e9 | − | 1.36578e10i | 0.0264388 | − | 0.0457933i | −0.852503 | − | 0.522722i | \(-0.824917\pi\) |
0.878942 | + | 0.476929i | \(0.158250\pi\) | |||||||
\(740\) | 2.19594e11 | − | 1.26782e11i | 0.732307 | − | 0.422797i | ||||
\(741\) | − | 5.43272e10i | − | 0.180196i | ||||||
\(742\) | 2.19440e10 | + | 1.23809e11i | 0.0723935 | + | 0.408449i | ||||
\(743\) | −5.11592e11 | −1.67868 | −0.839342 | − | 0.543604i | \(-0.817059\pi\) | ||||
−0.839342 | + | 0.543604i | \(0.817059\pi\) | |||||||
\(744\) | −7.97543e10 | − | 1.38138e11i | −0.260293 | − | 0.450840i | ||||
\(745\) | 3.17134e11 | + | 1.83097e11i | 1.02948 | + | 0.594370i | ||||
\(746\) | 2.13371e11 | − | 3.69569e11i | 0.688937 | − | 1.19327i | ||||
\(747\) | −5.97024e10 | + | 3.44692e10i | −0.191738 | + | 0.110700i | ||||
\(748\) | 6.76212e10i | 0.216011i | ||||||||
\(749\) | −2.38245e11 | + | 2.00271e11i | −0.757001 | + | 0.636342i | ||||
\(750\) | −1.20302e11 | −0.380213 | ||||||||
\(751\) | −1.11780e11 | − | 1.93609e11i | −0.351402 | − | 0.608646i | 0.635093 | − | 0.772435i | \(-0.280962\pi\) |
−0.986495 | + | 0.163789i | \(0.947628\pi\) | |||||||
\(752\) | −9.07836e10 | − | 5.24139e10i | −0.283881 | − | 0.163899i | ||||
\(753\) | 1.26850e11 | − | 2.19711e11i | 0.394558 | − | 0.683394i | ||||
\(754\) | 1.74634e11 | − | 1.00825e11i | 0.540309 | − | 0.311948i | ||||
\(755\) | − | 1.62810e11i | − | 0.501064i | ||||||
\(756\) | 8.74040e9 | − | 2.40803e10i | 0.0267574 | − | 0.0737183i | ||||
\(757\) | 6.02473e11 | 1.83465 | 0.917326 | − | 0.398136i | \(-0.130343\pi\) | ||||
0.917326 | + | 0.398136i | \(0.130343\pi\) | |||||||
\(758\) | −4.92948e10 | − | 8.53812e10i | −0.149322 | − | 0.258634i | ||||
\(759\) | 8.36877e10 | + | 4.83171e10i | 0.252171 | + | 0.145591i | ||||
\(760\) | −1.02675e11 | + | 1.77839e11i | −0.307759 | + | 0.533055i | ||||
\(761\) | 8.77901e10 | − | 5.06856e10i | 0.261762 | − | 0.151128i | −0.363376 | − | 0.931643i | \(-0.618376\pi\) |
0.625138 | + | 0.780514i | \(0.285043\pi\) | |||||||
\(762\) | 1.58557e11i | 0.470291i | ||||||||
\(763\) | 4.76955e11 | + | 1.73119e11i | 1.40727 | + | 0.510796i | ||||
\(764\) | 6.41300e10 | 0.188230 | ||||||||
\(765\) | 6.23249e10 | + | 1.07950e11i | 0.181977 | + | 0.315193i | ||||
\(766\) | 3.71322e11 | + | 2.14383e11i | 1.07854 | + | 0.622694i | ||||
\(767\) | 8.50886e10 | − | 1.47378e11i | 0.245861 | − | 0.425844i | ||||
\(768\) | 1.72542e11 | − | 9.96171e10i | 0.495963 | − | 0.286344i | ||||
\(769\) | 4.58024e11i | 1.30973i | 0.755744 | + | 0.654867i | \(0.227275\pi\) | ||||
−0.755744 | + | 0.654867i | \(0.772725\pi\) | |||||||
\(770\) | 1.03796e11 | + | 1.23477e11i | 0.295270 | + | 0.351257i | ||||
\(771\) | 6.15337e10 | 0.174139 | ||||||||
\(772\) | −2.88987e9 | − | 5.00541e9i | −0.00813598 | − | 0.0140919i | ||||
\(773\) | −9.04927e9 | − | 5.22460e9i | −0.0253452 | − | 0.0146330i | 0.487274 | − | 0.873249i | \(-0.337991\pi\) |
−0.512619 | + | 0.858616i | \(0.671325\pi\) | |||||||
\(774\) | −7.70084e10 | + | 1.33382e11i | −0.214573 | + | 0.371651i | ||||
\(775\) | −5.92646e10 | + | 3.42164e10i | −0.164282 | + | 0.0948480i | ||||
\(776\) | − | 2.01654e11i | − | 0.556109i | ||||||
\(777\) | 3.88017e11 | − | 6.87721e10i | 1.06455 | − | 0.188681i | ||||
\(778\) | 1.33544e11 | 0.364508 | ||||||||
\(779\) | 8.32952e10 | + | 1.44272e11i | 0.226188 | + | 0.391770i | ||||
\(780\) | 5.08756e10 | + | 2.93731e10i | 0.137446 | + | 0.0793543i | ||||
\(781\) | −9.74223e10 | + | 1.68740e11i | −0.261851 | + | 0.453539i | ||||
\(782\) | 2.30272e11 | − | 1.32948e11i | 0.615764 | − | 0.355511i | ||||
\(783\) | − | 9.63143e10i | − | 0.256238i | ||||||
\(784\) | −1.23600e11 | − | 1.03340e11i | −0.327154 | − | 0.273529i | ||||
\(785\) | −2.50702e11 | −0.660206 | ||||||||
\(786\) | 9.57792e10 | + | 1.65894e11i | 0.250947 | + | 0.434652i | ||||
\(787\) | 2.09662e11 | + | 1.21048e11i | 0.546539 | + | 0.315544i | 0.747725 | − | 0.664009i | \(-0.231146\pi\) |
−0.201186 | + | 0.979553i | \(0.564480\pi\) | |||||||
\(788\) | −5.17763e10 | + | 8.96791e10i | −0.134284 | + | 0.232587i | ||||
\(789\) | 2.48900e11 | − | 1.43702e11i | 0.642269 | − | 0.370814i | ||||
\(790\) | 2.39223e10i | 0.0614179i | ||||||||
\(791\) | −6.47185e10 | − | 3.65146e11i | −0.165319 | − | 0.932741i | ||||
\(792\) | −7.64427e10 | −0.194283 | ||||||||
\(793\) | −2.01103e11 | − | 3.48320e11i | −0.508540 | − | 0.880817i | ||||
\(794\) | −2.74604e11 | − | 1.58543e11i | −0.690915 | − | 0.398900i | ||||
\(795\) | −6.88614e10 | + | 1.19272e11i | −0.172388 | + | 0.298585i | ||||
\(796\) | −3.99077e10 | + | 2.30407e10i | −0.0994041 | + | 0.0573910i | ||||
\(797\) | − | 6.17249e10i | − | 0.152977i | −0.997070 | − | 0.0764887i | \(-0.975629\pi\) | ||
0.997070 | − | 0.0764887i | \(-0.0243709\pi\) | |||||||
\(798\) | −7.07273e10 | + | 5.94540e10i | −0.174412 | + | 0.146612i | ||||
\(799\) | −3.08687e11 | −0.757411 | ||||||||
\(800\) | −3.52508e10 | − | 6.10562e10i | −0.0860615 | − | 0.149063i | ||||
\(801\) | 2.05948e11 | + | 1.18904e11i | 0.500296 | + | 0.288846i | ||||
\(802\) | 2.66872e11 | − | 4.62235e11i | 0.645067 | − | 1.11729i | ||||
\(803\) | 3.48959e11 | − | 2.01471e11i | 0.839290 | − | 0.484564i | ||||
\(804\) | 7.01477e10i | 0.167876i | ||||||||
\(805\) | −1.48841e11 | + | 4.10068e11i | −0.354438 | + | 0.976500i | ||||
\(806\) | 1.64584e11 | 0.389984 | ||||||||
\(807\) | −1.00507e10 | − | 1.74082e10i | −0.0236974 | − | 0.0410451i | ||||
\(808\) | −2.63280e11 | − | 1.52005e11i | −0.617693 | − | 0.356625i | ||||
\(809\) | −4.81158e10 | + | 8.33390e10i | −0.112329 | + | 0.194560i | −0.916709 | − | 0.399555i | \(-0.869165\pi\) |
0.804380 | + | 0.594116i | \(0.202498\pi\) | |||||||
\(810\) | −3.53311e10 | + | 2.03984e10i | −0.0820762 | + | 0.0473867i | ||||
\(811\) | 3.79647e9i | 0.00877599i | 0.999990 | + | 0.00438800i | \(0.00139675\pi\) | ||||
−0.999990 | + | 0.00438800i | \(0.998603\pi\) | |||||||
\(812\) | 2.21721e11 | + | 8.04777e10i | 0.510015 | + | 0.185119i | ||||
\(813\) | −2.22999e11 | −0.510436 | ||||||||
\(814\) | −1.70223e11 | − | 2.94835e11i | −0.387723 | − | 0.671555i | ||||
\(815\) | −6.90909e11 | − | 3.98896e11i | −1.56600 | − | 0.904128i | ||||
\(816\) | −5.37781e10 | + | 9.31464e10i | −0.121295 | + | 0.210090i | ||||
\(817\) | −3.30875e11 | + | 1.91031e11i | −0.742635 | + | 0.428761i | ||||
\(818\) | 2.95054e11i | 0.659005i | ||||||||
\(819\) | 5.87466e10 | + | 6.98857e10i | 0.130571 | + | 0.155329i | ||||
\(820\) | −1.80141e11 | −0.398434 | ||||||||
\(821\) | 3.66956e11 | + | 6.35586e11i | 0.807683 | + | 1.39895i | 0.914464 | + | 0.404666i | \(0.132612\pi\) |
−0.106781 | + | 0.994283i | \(0.534054\pi\) | |||||||
\(822\) | 1.87970e11 | + | 1.08524e11i | 0.411718 | + | 0.237706i | ||||
\(823\) | −1.45630e11 | + | 2.52238e11i | −0.317432 | + | 0.549809i | −0.979952 | − | 0.199236i | \(-0.936154\pi\) |
0.662519 | + | 0.749045i | \(0.269487\pi\) | |||||||
\(824\) | 1.43919e11 | − | 8.30919e10i | 0.312184 | − | 0.180239i | ||||
\(825\) | 3.27957e10i | 0.0707948i | ||||||||
\(826\) | −2.84986e11 | + | 5.05109e10i | −0.612214 | + | 0.108509i | ||||
\(827\) | −7.82523e11 | −1.67292 | −0.836460 | − | 0.548029i | \(-0.815379\pi\) | ||||
−0.836460 | + | 0.548029i | \(0.815379\pi\) | |||||||
\(828\) | −2.99269e10 | − | 5.18349e10i | −0.0636708 | − | 0.110281i | ||||
\(829\) | −3.16706e11 | − | 1.82850e11i | −0.670560 | − | 0.387148i | 0.125729 | − | 0.992065i | \(-0.459873\pi\) |
−0.796289 | + | 0.604916i | \(0.793206\pi\) | |||||||
\(830\) | −1.34435e11 | + | 2.32848e11i | −0.283269 | + | 0.490636i | ||||
\(831\) | −3.26893e11 | + | 1.88732e11i | −0.685490 | + | 0.395768i | ||||
\(832\) | 2.93950e11i | 0.613452i | ||||||||
\(833\) | −4.67355e11 | − | 8.15545e10i | −0.970660 | − | 0.169382i | ||||
\(834\) | 1.75712e11 | 0.363193 | ||||||||
\(835\) | 1.19071e11 | + | 2.06238e11i | 0.244941 | + | 0.424250i | ||||
\(836\) | −4.75460e10 | − | 2.74507e10i | −0.0973394 | − | 0.0561990i | ||||
\(837\) | 3.93052e10 | − | 6.80787e10i | 0.0800845 | − | 0.138710i | ||||
\(838\) | 2.54404e10 | − | 1.46880e10i | 0.0515879 | − | 0.0297843i | ||||
\(839\) | − | 7.98985e10i | − | 0.161247i | −0.996745 | − | 0.0806233i | \(-0.974309\pi\) | ||
0.996745 | − | 0.0806233i | \(-0.0256911\pi\) | |||||||
\(840\) | −6.02255e10 | − | 3.39796e11i | −0.120966 | − | 0.682498i | ||||
\(841\) | 3.86574e11 | 0.772767 | ||||||||
\(842\) | −4.44976e10 | − | 7.70721e10i | −0.0885296 | − | 0.153338i | ||||
\(843\) | 1.08854e11 | + | 6.28470e10i | 0.215543 | + | 0.124444i | ||||
\(844\) | 4.97948e9 | − | 8.62471e9i | 0.00981328 | − | 0.0169971i | ||||
\(845\) | 3.07951e11 | − | 1.77796e11i | 0.604025 | − | 0.348734i | ||||
\(846\) | − | 1.01031e11i | − | 0.197230i | ||||||
\(847\) | 2.79948e11 | − | 2.35327e11i | 0.543931 | − | 0.457234i | ||||
\(848\) | −1.18836e11 | −0.229809 | ||||||||
\(849\) | −8.31170e10 | − | 1.43963e11i | −0.159978 | − | 0.277089i | ||||
\(850\) | 7.81497e10 | + | 4.51198e10i | 0.149710 | + | 0.0864353i | ||||
\(851\) | 4.60355e11 | − | 7.97357e11i | 0.877757 | − | 1.52032i | ||||
\(852\) | 1.04515e11 | − | 6.03419e10i | 0.198345 | − | 0.114515i | ||||
\(853\) | − | 3.15788e11i | − | 0.596485i | −0.954490 | − | 0.298242i | \(-0.903600\pi\) | ||
0.954490 | − | 0.298242i | \(-0.0964004\pi\) | |||||||
\(854\) | −2.33389e11 | + | 6.43001e11i | −0.438782 | + | 1.20887i | ||||
\(855\) | −1.01203e11 | −0.189377 | ||||||||
\(856\) | −2.87623e11 | − | 4.98177e11i | −0.535708 | − | 0.927873i | ||||
\(857\) | −4.63397e10 | − | 2.67542e10i | −0.0859072 | − | 0.0495986i | 0.456431 | − | 0.889759i | \(-0.349128\pi\) |
−0.542338 | + | 0.840160i | \(0.682461\pi\) | |||||||
\(858\) | 3.94374e10 | − | 6.83076e10i | 0.0727712 | − | 0.126043i | ||||
\(859\) | 9.50570e9 | − | 5.48812e9i | 0.0174587 | − | 0.0100798i | −0.491245 | − | 0.871021i | \(-0.663458\pi\) |
0.508704 | + | 0.860942i | \(0.330125\pi\) | |||||||
\(860\) | − | 4.13138e11i | − | 0.755268i | ||||||
\(861\) | −2.63157e11 | − | 9.55178e10i | −0.478854 | − | 0.173809i | ||||
\(862\) | 3.07334e11 | 0.556650 | ||||||||
\(863\) | 1.41661e11 | + | 2.45363e11i | 0.255391 | + | 0.442350i | 0.965002 | − | 0.262244i | \(-0.0844625\pi\) |
−0.709611 | + | 0.704594i | \(0.751129\pi\) | |||||||
\(864\) | 7.01367e10 | + | 4.04934e10i | 0.125861 | + | 0.0726657i | ||||
\(865\) | 1.56946e11 | − | 2.71838e11i | 0.280340 | − | 0.485564i | ||||
\(866\) | 2.60981e11 | − | 1.50678e11i | 0.464022 | − | 0.267903i | ||||
\(867\) | − | 9.50271e9i | − | 0.0168179i | ||||||
\(868\) | 1.23879e11 | + | 1.47368e11i | 0.218232 | + | 0.259611i | ||||
\(869\) | −2.20907e10 | −0.0387374 | ||||||||
\(870\) | −1.87820e11 | − | 3.25313e11i | −0.327842 | − | 0.567839i | ||||
\(871\) | −2.16503e11 | − | 1.24998e11i | −0.376177 | − | 0.217186i | ||||
\(872\) | −4.68902e11 | + | 8.12161e11i | −0.810990 | + | 1.40468i | ||||
\(873\) | 8.60664e10 | − | 4.96905e10i | 0.148176 | − | 0.0855493i | ||||
\(874\) | 2.15879e11i | 0.369969i | ||||||||
\(875\) | 4.93810e11 | − | 8.75228e10i | 0.842418 | − | 0.149310i | ||||
\(876\) | −2.49577e11 | −0.423827 | ||||||||
\(877\) | 1.86985e11 | + | 3.23867e11i | 0.316088 | + | 0.547480i | 0.979668 | − | 0.200625i | \(-0.0642972\pi\) |
−0.663580 | + | 0.748105i | \(0.730964\pi\) | |||||||
\(878\) | −1.92117e11 | − | 1.10919e11i | −0.323287 | − | 0.186650i | ||||
\(879\) | 2.72634e10 | − | 4.72216e10i | 0.0456693 | − | 0.0791016i | ||||
\(880\) | −1.32028e11 | + | 7.62265e10i | −0.220159 | + | 0.127109i | ||||
\(881\) | 4.89938e11i | 0.813276i | 0.913589 | + | 0.406638i | \(0.133299\pi\) | ||||
−0.913589 | + | 0.406638i | \(0.866701\pi\) | |||||||
\(882\) | 2.66921e10 | − | 1.52962e11i | 0.0441071 | − | 0.252760i | ||||
\(883\) | 9.67505e11 | 1.59151 | 0.795757 | − | 0.605616i | \(-0.207073\pi\) | ||||
0.795757 | + | 0.605616i | \(0.207073\pi\) | |||||||
\(884\) | 7.46336e10 | + | 1.29269e11i | 0.122215 | + | 0.211683i | ||||
\(885\) | −2.74541e11 | − | 1.58506e11i | −0.447542 | − | 0.258388i | ||||
\(886\) | −3.25817e11 | + | 5.64331e11i | −0.528736 | + | 0.915797i | ||||
\(887\) | −1.80919e11 | + | 1.04454e11i | −0.292273 | + | 0.168744i | −0.638967 | − | 0.769234i | \(-0.720638\pi\) |
0.346693 | + | 0.937979i | \(0.387304\pi\) | |||||||
\(888\) | 7.28329e11i | 1.17132i | ||||||||
\(889\) | −1.15355e11 | − | 6.50841e11i | −0.184684 | − | 1.04200i | ||||
\(890\) | 9.27485e11 | 1.47825 | ||||||||
\(891\) | −1.88366e10 | − | 3.26260e10i | −0.0298876 | − | 0.0517669i | ||||
\(892\) | −9.29836e10 | − | 5.36841e10i | −0.146875 | − | 0.0847981i | ||||
\(893\) | 1.25311e11 | − | 2.17045e11i | 0.197053 | − | 0.341306i | ||||
\(894\) | −2.63732e11 | + | 1.52266e11i | −0.412870 | + | 0.238370i | ||||
\(895\) | − | 9.76836e11i | − | 1.52240i | ||||||
\(896\) | 1.01197e10 | − | 8.50675e9i | 0.0157014 | − | 0.0131987i | ||||
\(897\) | 2.13311e11 | 0.329490 | ||||||||
\(898\) | 1.34261e11 | + | 2.32546e11i | 0.206463 | + | 0.357605i | ||||
\(899\) | 6.26838e11 | + | 3.61905e11i | 0.959659 | + | 0.554059i | ||||
\(900\) | 1.01566e10 | − | 1.75917e10i | 0.0154803 | − | 0.0268126i | ||||
\(901\) | −3.03056e11 | + | 1.74969e11i | −0.459857 | + | 0.265499i | ||||
\(902\) | 2.41864e11i | 0.365380i | ||||||||
\(903\) | 2.19062e11 | − | 6.03530e11i | 0.329470 | − | 0.907711i | ||||
\(904\) | 6.85399e11 | 1.02629 | ||||||||
\(905\) | 5.76589e11 | + | 9.98681e11i | 0.859551 | + | 1.48879i | ||||
\(906\) | 1.17255e11 | + | 6.76973e10i | 0.174028 | + | 0.100475i | ||||
\(907\) | −4.20962e11 | + | 7.29128e11i | −0.622034 | + | 1.07739i | 0.367073 | + | 0.930192i | \(0.380360\pi\) |
−0.989107 | + | 0.147202i | \(0.952973\pi\) | |||||||
\(908\) | −4.37835e11 | + | 2.52784e11i | −0.644120 | + | 0.371883i | ||||
\(909\) | − | 1.49825e11i | − | 0.219446i | ||||||
\(910\) | 3.34706e11 | + | 1.21488e11i | 0.488088 | + | 0.177160i | ||||
\(911\) | 6.67597e11 | 0.969262 | 0.484631 | − | 0.874719i | \(-0.338954\pi\) | ||||
0.484631 | + | 0.874719i | \(0.338954\pi\) | |||||||
\(912\) | −4.36622e10 | − | 7.56251e10i | −0.0631141 | − | 0.109317i | ||||
\(913\) | −2.15019e11 | − | 1.24142e11i | −0.309453 | − | 0.178663i | ||||
\(914\) | 7.52956e10 | − | 1.30416e11i | 0.107891 | − | 0.186872i | ||||
\(915\) | −6.48863e11 | + | 3.74621e11i | −0.925696 | + | 0.534451i | ||||
\(916\) | − | 2.85333e11i | − | 0.405294i | ||||||
\(917\) | −5.13844e11 | − | 6.11276e11i | −0.726699 | − | 0.864490i | ||||
\(918\) | −1.03660e11 | −0.145963 | ||||||||
\(919\) | 9.12059e10 | + | 1.57973e11i | 0.127868 | + | 0.221473i | 0.922850 | − | 0.385159i | \(-0.125853\pi\) |
−0.794983 | + | 0.606632i | \(0.792520\pi\) | |||||||
\(920\) | −6.98266e11 | − | 4.03144e11i | −0.974697 | − | 0.562741i | ||||
\(921\) | −3.64054e11 | + | 6.30561e11i | −0.505973 | + | 0.876372i | ||||
\(922\) | −2.16582e11 | + | 1.25044e11i | −0.299708 | + | 0.173037i | ||||
\(923\) | 4.30100e11i | 0.592602i | ||||||||
\(924\) | 9.08462e10 | − | 1.61016e10i | 0.124629 | − | 0.0220892i | ||||
\(925\) | 3.12470e11 | 0.426817 | ||||||||
\(926\) | −3.77546e10 | − | 6.53929e10i | −0.0513483 | − | 0.0889379i | ||||
\(927\) | 7.09277e10 | + | 4.09501e10i | 0.0960498 | + | 0.0554544i | ||||
\(928\) | −3.72846e11 | + | 6.45788e11i | −0.502733 | + | 0.870759i | ||||
\(929\) | 1.12132e12 | − | 6.47394e11i | 1.50545 | − | 0.869172i | 0.505470 | − | 0.862844i | \(-0.331319\pi\) |
0.999980 | − | 0.00632801i | \(-0.00201428\pi\) | |||||||
\(930\) | − | 3.06592e11i | − | 0.409854i | ||||||
\(931\) | 2.47065e11 | − | 2.95501e11i | 0.328861 | − | 0.393333i | ||||
\(932\) | −1.26676e11 | −0.167892 | ||||||||
\(933\) | −3.47720e11 | − | 6.02270e11i | −0.458885 | − | 0.794812i | ||||
\(934\) | −2.23012e11 | − | 1.28756e11i | −0.293050 | − | 0.169192i | ||||
\(935\) | −2.24465e11 | + | 3.88784e11i | −0.293698 | + | 0.508700i | ||||
\(936\) | −1.46133e11 | + | 8.43699e10i | −0.190390 | + | 0.109922i | ||||
\(937\) | − | 1.31158e12i | − | 1.70152i | −0.525555 | − | 0.850760i | \(-0.676142\pi\) | ||
0.525555 | − | 0.850760i | \(-0.323858\pi\) | |||||||
\(938\) | 7.42023e10 | + | 4.18655e11i | 0.0958530 | + | 0.540810i | ||||
\(939\) | 6.51941e11 | 0.838583 | ||||||||
\(940\) | 1.35503e11 | + | 2.34699e11i | 0.173556 | + | 0.300607i | ||||
\(941\) | 1.24935e11 | + | 7.21311e10i | 0.159340 | + | 0.0919949i | 0.577550 | − | 0.816356i | \(-0.304009\pi\) |
−0.418210 | + | 0.908350i | \(0.637342\pi\) | |||||||
\(942\) | 1.04243e11 | − | 1.80555e11i | 0.132387 | − | 0.229301i | ||||
\(943\) | −5.66468e11 | + | 3.27051e11i | −0.716356 | + | 0.413588i | ||||
\(944\) | − | 2.73539e11i | − | 0.344454i | ||||||
\(945\) | 1.30186e11 | − | 1.09435e11i | 0.163243 | − | 0.137224i | ||||
\(946\) | −5.54695e11 | −0.692612 | ||||||||
\(947\) | 6.96706e11 | + | 1.20673e12i | 0.866263 | + | 1.50041i | 0.865788 | + | 0.500411i | \(0.166818\pi\) |
0.000475192 | 1.00000i | \(0.499849\pi\) | ||||||||
\(948\) | 1.18495e10 | + | 6.84133e9i | 0.0146713 | + | 0.00847046i | ||||
\(949\) | 4.44729e11 | − | 7.70293e11i | 0.548315 | − | 0.949710i | ||||
\(950\) | −6.34494e10 | + | 3.66325e10i | −0.0778992 | + | 0.0449751i | ||||
\(951\) | 7.89368e11i | 0.965067i | ||||||||
\(952\) | 2.99168e11 | − | 8.24226e11i | 0.364223 | − | 1.00346i | ||||
\(953\) | 3.36931e11 | 0.408479 | 0.204240 | − | 0.978921i | \(-0.434528\pi\) | ||||
0.204240 | + | 0.978921i | \(0.434528\pi\) | |||||||
\(954\) | −5.72660e10 | − | 9.91876e10i | −0.0691358 | − | 0.119747i | ||||
\(955\) | 3.68711e11 | + | 2.12876e11i | 0.443275 | + | 0.255925i | ||||
\(956\) | 8.23711e10 | − | 1.42671e11i | 0.0986150 | − | 0.170806i | ||||
\(957\) | 3.00405e11 | − | 1.73439e11i | 0.358146 | − | 0.206776i | ||||
\(958\) | 6.66548e11i | 0.791352i | ||||||||
\(959\) | −8.50526e11 | − | 3.08714e11i | −1.00557 | − | 0.364991i | ||||
\(960\) | 5.47581e11 | 0.644709 | ||||||||
\(961\) | −1.31063e11 | − | 2.27008e11i | −0.153669 | − | 0.266163i | ||||
\(962\) | −6.50820e11 | − | 3.75751e11i | −0.759907 | − | 0.438733i | ||||
\(963\) | 1.41749e11 | − | 2.45516e11i | 0.164822 | − | 0.285479i | ||||
\(964\) | 2.73159e11 | − | 1.57708e11i | 0.316306 | − | 0.182619i | ||||
\(965\) | − | 3.83711e10i | − | 0.0442481i | ||||||
\(966\) | −2.33440e11 | − | 2.77704e11i | −0.268082 | − | 0.318914i | ||||
\(967\) | −1.61449e12 | −1.84642 | −0.923208 | − | 0.384300i | \(-0.874443\pi\) | ||||
−0.923208 | + | 0.384300i | \(0.874443\pi\) | |||||||
\(968\) | 3.37969e11 | + | 5.85379e11i | 0.384924 | + | 0.666708i | ||||
\(969\) | −2.22694e11 | − | 1.28572e11i | −0.252588 | − | 0.145832i | ||||
\(970\) | 1.93800e11 | − | 3.35671e11i | 0.218911 | − | 0.379164i | ||||
\(971\) | 6.08052e11 | − | 3.51059e11i | 0.684012 | − | 0.394915i | −0.117353 | − | 0.993090i | \(-0.537441\pi\) |
0.801365 | + | 0.598176i | \(0.204107\pi\) | |||||||
\(972\) | 2.33342e10i | 0.0261414i | ||||||||
\(973\) | −7.21256e11 | + | 1.27835e11i | −0.804708 | + | 0.142626i | ||||
\(974\) | −8.37116e11 | −0.930143 | ||||||||
\(975\) | 3.61967e10 | + | 6.26945e10i | 0.0400544 | + | 0.0693762i | ||||
\(976\) | −5.59882e11 | − | 3.23248e11i | −0.617017 | − | 0.356235i | ||||
\(977\) | 5.35565e9 | − | 9.27626e9i | 0.00587806 | − | 0.0101811i | −0.863071 | − | 0.505082i | \(-0.831462\pi\) |
0.868949 | + | 0.494901i | \(0.164796\pi\) | |||||||
\(978\) | 5.74568e11 | − | 3.31727e11i | 0.628038 | − | 0.362598i | ||||
\(979\) | 8.56471e11i | 0.932356i | ||||||||
\(980\) | 1.43147e11 | + | 3.91136e11i | 0.155195 | + | 0.424056i | ||||
\(981\) | −4.62177e11 | −0.499036 | ||||||||
\(982\) | 2.66263e11 | + | 4.61181e11i | 0.286329 | + | 0.495936i | ||||
\(983\) | −9.94085e11 | − | 5.73935e11i | −1.06466 | − | 0.614680i | −0.137940 | − | 0.990441i | \(-0.544048\pi\) |
−0.926717 | + | 0.375761i | \(0.877381\pi\) | |||||||
\(984\) | 2.58714e11 | − | 4.48106e11i | 0.275956 | − | 0.477970i | ||||
\(985\) | −5.95369e11 | + | 3.43736e11i | −0.632472 | + | 0.365158i | ||||
\(986\) | − | 9.54458e11i | − | 1.00983i | ||||||
\(987\) | 7.35027e10 | + | 4.14708e11i | 0.0774524 | + | 0.436992i | ||||
\(988\) | −1.21189e11 | −0.127185 | ||||||||
\(989\) | −7.50064e11 | − | 1.29915e12i | −0.783994 | − | 1.35792i | ||||
\(990\) | −1.27246e11 | − | 7.34654e10i | −0.132466 | − | 0.0764790i | ||||
\(991\) | −6.49257e11 | + | 1.12455e12i | −0.673166 | + | 1.16596i | 0.303836 | + | 0.952724i | \(0.401733\pi\) |
−0.977001 | + | 0.213233i | \(0.931601\pi\) | |||||||
\(992\) | −5.27083e11 | + | 3.04312e11i | −0.544293 | + | 0.314248i | ||||
\(993\) | 7.00471e10i | 0.0720432i | ||||||||
\(994\) | 5.59937e11 | − | 4.70688e11i | 0.573580 | − | 0.482156i | ||||
\(995\) | −3.05929e11 | −0.312125 | ||||||||
\(996\) | 7.68915e10 | + | 1.33180e11i | 0.0781342 | + | 0.135332i | ||||
\(997\) | 2.89707e11 | + | 1.67263e11i | 0.293210 | + | 0.169285i | 0.639389 | − | 0.768884i | \(-0.279188\pi\) |
−0.346179 | + | 0.938169i | \(0.612521\pi\) | |||||||
\(998\) | 1.95544e11 | − | 3.38693e11i | 0.197117 | − | 0.341416i | ||||
\(999\) | −3.10853e11 | + | 1.79471e11i | −0.312099 | + | 0.180191i |
(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 | 21.9.f.b.10.4 | ✓ | 12 | |
3.2 | odd | 2 | 63.9.m.d.10.3 | 12 | |||
7.3 | odd | 6 | 147.9.d.b.97.6 | 12 | |||
7.4 | even | 3 | 147.9.d.b.97.5 | 12 | |||
7.5 | odd | 6 | inner | 21.9.f.b.19.4 | yes | 12 | |
21.5 | even | 6 | 63.9.m.d.19.3 | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
21.9.f.b.10.4 | ✓ | 12 | 1.1 | even | 1 | trivial | |
21.9.f.b.19.4 | yes | 12 | 7.5 | odd | 6 | inner | |
63.9.m.d.10.3 | 12 | 3.2 | odd | 2 | |||
63.9.m.d.19.3 | 12 | 21.5 | even | 6 | |||
147.9.d.b.97.5 | 12 | 7.4 | even | 3 | |||
147.9.d.b.97.6 | 12 | 7.3 | odd | 6 |