Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [567,2,Mod(5,567)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(567, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([23, 45]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("567.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 567 = 3^{4} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 567.br (of order \(54\), degree \(18\), 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: | \(4.52751779461\) |
Analytic rank: | \(0\) |
Dimension: | \(1260\) |
Relative dimension: | \(70\) over \(\Q(\zeta_{54})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{54}]$ |
Embedding invariants
Embedding label | 101.31 | ||
Character | \(\chi\) | \(=\) | 567.101 |
Dual form | 567.2.br.a.320.31 |
$q$-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 \(\left(\mathbb{Z}/567\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(407\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{25}{54}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.395024 | + | 0.294084i | −0.279324 | + | 0.207949i | −0.727699 | − | 0.685896i | \(-0.759410\pi\) |
0.448375 | + | 0.893845i | \(0.352003\pi\) | |||||||
\(3\) | 0.630788 | − | 1.61310i | 0.364185 | − | 0.931326i | ||||
\(4\) | −0.504048 | + | 1.68364i | −0.252024 | + | 0.841819i | ||||
\(5\) | 0.0546847 | + | 0.938899i | 0.0244557 | + | 0.419889i | 0.988211 | + | 0.153100i | \(0.0489256\pi\) |
−0.963755 | + | 0.266789i | \(0.914037\pi\) | |||||||
\(6\) | 0.225213 | + | 0.822720i | 0.0919427 | + | 0.335874i | ||||
\(7\) | −1.92707 | − | 1.81284i | −0.728365 | − | 0.685189i | ||||
\(8\) | −0.632892 | − | 1.73886i | −0.223761 | − | 0.614779i | ||||
\(9\) | −2.20421 | − | 2.03505i | −0.734738 | − | 0.678351i | ||||
\(10\) | −0.297717 | − | 0.354806i | −0.0941465 | − | 0.112199i | ||||
\(11\) | −0.795127 | + | 1.20893i | −0.239740 | + | 0.364507i | −0.935237 | − | 0.354022i | \(-0.884814\pi\) |
0.695497 | + | 0.718529i | \(0.255184\pi\) | |||||||
\(12\) | 2.39794 | + | 1.87510i | 0.692225 | + | 0.541295i | ||||
\(13\) | −1.48571 | − | 1.10607i | −0.412063 | − | 0.306769i | 0.371092 | − | 0.928596i | \(-0.378983\pi\) |
−0.783155 | + | 0.621827i | \(0.786391\pi\) | |||||||
\(14\) | 1.29437 | + | 0.149393i | 0.345934 | + | 0.0399271i | ||||
\(15\) | 1.54904 | + | 0.504034i | 0.399960 | + | 0.130141i | ||||
\(16\) | −2.17531 | − | 1.43073i | −0.543828 | − | 0.357681i | ||||
\(17\) | −0.831830 | − | 4.71754i | −0.201748 | − | 1.14417i | −0.902475 | − | 0.430742i | \(-0.858252\pi\) |
0.700726 | − | 0.713430i | \(-0.252859\pi\) | |||||||
\(18\) | 1.46919 | + | 0.155670i | 0.346292 | + | 0.0366917i | ||||
\(19\) | −0.699900 | − | 0.123411i | −0.160568 | − | 0.0283125i | 0.0927862 | − | 0.995686i | \(-0.470423\pi\) |
−0.253354 | + | 0.967374i | \(0.581534\pi\) | |||||||
\(20\) | −1.60833 | − | 0.381181i | −0.359634 | − | 0.0852347i | ||||
\(21\) | −4.13988 | + | 1.96505i | −0.903395 | + | 0.428810i | ||||
\(22\) | −0.0414338 | − | 0.711392i | −0.00883373 | − | 0.151669i | ||||
\(23\) | −1.75889 | − | 7.42135i | −0.366755 | − | 1.54746i | −0.773427 | − | 0.633885i | \(-0.781459\pi\) |
0.406672 | − | 0.913574i | \(-0.366689\pi\) | |||||||
\(24\) | −3.20418 | − | 0.0759282i | −0.654050 | − | 0.0154988i | ||||
\(25\) | 4.08765 | − | 0.477778i | 0.817530 | − | 0.0955556i | ||||
\(26\) | 0.912171 | 0.178891 | ||||||||
\(27\) | −4.67315 | + | 2.27194i | −0.899347 | + | 0.437235i | ||||
\(28\) | 4.02351 | − | 2.33073i | 0.760371 | − | 0.440467i | ||||
\(29\) | −5.12871 | − | 2.21231i | −0.952378 | − | 0.410816i | −0.137535 | − | 0.990497i | \(-0.543918\pi\) |
−0.814844 | + | 0.579681i | \(0.803177\pi\) | |||||||
\(30\) | −0.760135 | + | 0.256442i | −0.138781 | + | 0.0468197i | ||||
\(31\) | 1.04157 | + | 4.39472i | 0.187071 | + | 0.789316i | 0.982952 | + | 0.183862i | \(0.0588601\pi\) |
−0.795881 | + | 0.605453i | \(0.792992\pi\) | |||||||
\(32\) | 4.97470 | − | 0.289743i | 0.879411 | − | 0.0512198i | ||||
\(33\) | 1.44858 | + | 2.04520i | 0.252165 | + | 0.356024i | ||||
\(34\) | 1.71595 | + | 1.61891i | 0.294283 | + | 0.277641i | ||||
\(35\) | 1.59669 | − | 1.90846i | 0.269890 | − | 0.322589i | ||||
\(36\) | 4.53732 | − | 2.68533i | 0.756221 | − | 0.447556i | ||||
\(37\) | −0.633082 | + | 0.531219i | −0.104078 | + | 0.0873319i | −0.693342 | − | 0.720609i | \(-0.743862\pi\) |
0.589264 | + | 0.807941i | \(0.299418\pi\) | |||||||
\(38\) | 0.312770 | − | 0.157079i | 0.0507381 | − | 0.0254816i | ||||
\(39\) | −2.72138 | + | 1.69891i | −0.435770 | + | 0.272044i | ||||
\(40\) | 1.59800 | − | 0.689311i | 0.252666 | − | 0.108990i | ||||
\(41\) | 3.37576 | + | 0.394570i | 0.527206 | + | 0.0616215i | 0.375532 | − | 0.926809i | \(-0.377460\pi\) |
0.151673 | + | 0.988431i | \(0.451534\pi\) | |||||||
\(42\) | 1.05746 | − | 1.99372i | 0.163169 | − | 0.307637i | ||||
\(43\) | 0.322754 | + | 0.212278i | 0.0492195 | + | 0.0323722i | 0.573880 | − | 0.818939i | \(-0.305437\pi\) |
−0.524661 | + | 0.851311i | \(0.675808\pi\) | |||||||
\(44\) | −1.63462 | − | 1.94807i | −0.246429 | − | 0.293682i | ||||
\(45\) | 1.79017 | − | 2.18082i | 0.266863 | − | 0.325098i | ||||
\(46\) | 2.87731 | + | 2.41435i | 0.424236 | + | 0.355976i | ||||
\(47\) | −7.34831 | − | 1.74158i | −1.07186 | − | 0.254036i | −0.343446 | − | 0.939172i | \(-0.611594\pi\) |
−0.728414 | + | 0.685137i | \(0.759742\pi\) | |||||||
\(48\) | −3.68007 | + | 2.60652i | −0.531172 | + | 0.376219i | ||||
\(49\) | 0.427218 | + | 6.98695i | 0.0610311 | + | 0.998136i | ||||
\(50\) | −1.47421 | + | 1.39085i | −0.208485 | + | 0.196696i | ||||
\(51\) | −8.13460 | − | 1.63394i | −1.13907 | − | 0.228797i | ||||
\(52\) | 2.61110 | − | 1.94389i | 0.362094 | − | 0.269569i | ||||
\(53\) | − | 8.77949i | − | 1.20596i | −0.797758 | − | 0.602978i | \(-0.793981\pi\) | ||
0.797758 | − | 0.602978i | \(-0.206019\pi\) | |||||||
\(54\) | 1.17786 | − | 2.27177i | 0.160287 | − | 0.309149i | ||||
\(55\) | −1.17855 | − | 0.680434i | −0.158915 | − | 0.0917497i | ||||
\(56\) | −1.93264 | + | 4.49823i | −0.258260 | + | 0.601102i | ||||
\(57\) | −0.640563 | + | 1.05117i | −0.0848447 | + | 0.139230i | ||||
\(58\) | 2.67657 | − | 0.634359i | 0.351451 | − | 0.0832954i | ||||
\(59\) | 0.249612 | + | 0.125360i | 0.0324968 | + | 0.0163205i | 0.464973 | − | 0.885325i | \(-0.346064\pi\) |
−0.432477 | + | 0.901645i | \(0.642360\pi\) | |||||||
\(60\) | −1.62940 | + | 2.35396i | −0.210355 | + | 0.303895i | ||||
\(61\) | −13.6141 | + | 4.07580i | −1.74311 | + | 0.521852i | −0.990607 | − | 0.136738i | \(-0.956338\pi\) |
−0.752501 | + | 0.658591i | \(0.771153\pi\) | |||||||
\(62\) | −1.70386 | − | 1.42971i | −0.216391 | − | 0.181574i | ||||
\(63\) | 0.558453 | + | 7.91758i | 0.0703584 | + | 0.997522i | ||||
\(64\) | 2.10910 | − | 1.76974i | 0.263637 | − | 0.221218i | ||||
\(65\) | 0.957245 | − | 1.45542i | 0.118732 | − | 0.180523i | ||||
\(66\) | −1.17369 | − | 0.381900i | −0.144471 | − | 0.0470086i | ||||
\(67\) | −4.28636 | − | 0.501003i | −0.523662 | − | 0.0612073i | −0.149844 | − | 0.988710i | \(-0.547877\pi\) |
−0.373818 | + | 0.927502i | \(0.621951\pi\) | |||||||
\(68\) | 8.36192 | + | 0.977368i | 1.01403 | + | 0.118523i | ||||
\(69\) | −13.0809 | − | 1.84402i | −1.57476 | − | 0.221994i | ||||
\(70\) | −0.0694833 | + | 1.22345i | −0.00830484 | + | 0.146230i | ||||
\(71\) | 0.00646683 | − | 0.0177675i | 0.000767472 | − | 0.00210861i | −0.939308 | − | 0.343074i | \(-0.888532\pi\) |
0.940076 | + | 0.340966i | \(0.110754\pi\) | |||||||
\(72\) | −2.14364 | + | 5.12078i | −0.252630 | + | 0.603490i | ||||
\(73\) | 1.35331 | + | 0.238624i | 0.158392 | + | 0.0279289i | 0.252282 | − | 0.967654i | \(-0.418819\pi\) |
−0.0938895 | + | 0.995583i | \(0.529930\pi\) | |||||||
\(74\) | 0.0938594 | − | 0.396024i | 0.0109109 | − | 0.0460368i | ||||
\(75\) | 1.80773 | − | 6.89518i | 0.208739 | − | 0.796187i | ||||
\(76\) | 0.560563 | − | 1.11617i | 0.0643010 | − | 0.128034i | ||||
\(77\) | 3.72387 | − | 0.888261i | 0.424374 | − | 0.101227i | ||||
\(78\) | 0.575386 | − | 1.47143i | 0.0651496 | − | 0.166606i | ||||
\(79\) | 4.46787 | + | 6.00139i | 0.502675 | + | 0.675210i | 0.978953 | − | 0.204085i | \(-0.0654219\pi\) |
−0.476278 | + | 0.879295i | \(0.658014\pi\) | |||||||
\(80\) | 1.22435 | − | 2.12064i | 0.136887 | − | 0.237095i | ||||
\(81\) | 0.717116 | + | 8.97138i | 0.0796796 | + | 0.996821i | ||||
\(82\) | −1.44954 | + | 0.836894i | −0.160075 | + | 0.0924195i | ||||
\(83\) | −2.66645 | + | 0.311664i | −0.292681 | + | 0.0342095i | −0.261167 | − | 0.965294i | \(-0.584107\pi\) |
−0.0315147 | + | 0.999503i | \(0.510033\pi\) | |||||||
\(84\) | −1.22174 | − | 7.96053i | −0.133303 | − | 0.868565i | ||||
\(85\) | 4.38381 | − | 1.03898i | 0.475491 | − | 0.112693i | ||||
\(86\) | −0.189923 | + | 0.0110618i | −0.0204799 | + | 0.00119282i | ||||
\(87\) | −6.80382 | + | 6.87765i | −0.729446 | + | 0.737362i | ||||
\(88\) | 2.60539 | + | 0.617489i | 0.277735 | + | 0.0658245i | ||||
\(89\) | −0.935114 | − | 0.784654i | −0.0991219 | − | 0.0831732i | 0.591880 | − | 0.806026i | \(-0.298386\pi\) |
−0.691002 | + | 0.722853i | \(0.742830\pi\) | |||||||
\(90\) | −0.0658159 | + | 1.38794i | −0.00693760 | + | 0.146302i | ||||
\(91\) | 0.857944 | + | 4.82484i | 0.0899370 | + | 0.505781i | ||||
\(92\) | 13.3814 | + | 0.779380i | 1.39511 | + | 0.0812560i | ||||
\(93\) | 7.74616 | + | 1.09198i | 0.803239 | + | 0.113233i | ||||
\(94\) | 3.41493 | − | 1.47306i | 0.352223 | − | 0.151934i | ||||
\(95\) | 0.0775969 | − | 0.663884i | 0.00796128 | − | 0.0681131i | ||||
\(96\) | 2.67059 | − | 8.20747i | 0.272566 | − | 0.837672i | ||||
\(97\) | 7.61842 | + | 15.1695i | 0.773534 | + | 1.54023i | 0.840089 | + | 0.542449i | \(0.182503\pi\) |
−0.0665550 | + | 0.997783i | \(0.521201\pi\) | |||||||
\(98\) | −2.22351 | − | 2.63437i | −0.224609 | − | 0.266112i | ||||
\(99\) | 4.21287 | − | 1.04662i | 0.423410 | − | 0.105189i | ||||
\(100\) | −1.25597 | + | 7.12295i | −0.125597 | + | 0.712295i | ||||
\(101\) | 10.1430 | − | 10.7509i | 1.00927 | − | 1.06976i | 0.0117070 | − | 0.999931i | \(-0.496273\pi\) |
0.997559 | − | 0.0698280i | \(-0.0222450\pi\) | |||||||
\(102\) | 3.69388 | − | 1.74681i | 0.365748 | − | 0.172960i | ||||
\(103\) | −4.87511 | − | 7.41224i | −0.480358 | − | 0.730350i | 0.511278 | − | 0.859416i | \(-0.329172\pi\) |
−0.991636 | + | 0.129066i | \(0.958802\pi\) | |||||||
\(104\) | −0.983005 | + | 3.28347i | −0.0963916 | + | 0.321970i | ||||
\(105\) | −2.07137 | − | 3.77947i | −0.202145 | − | 0.368838i | ||||
\(106\) | 2.58191 | + | 3.46811i | 0.250777 | + | 0.336853i | ||||
\(107\) | − | 14.5370i | − | 1.40535i | −0.711511 | − | 0.702674i | \(-0.751989\pi\) | ||
0.711511 | − | 0.702674i | \(-0.248011\pi\) | |||||||
\(108\) | −1.46964 | − | 9.01305i | −0.141416 | − | 0.867281i | ||||
\(109\) | 20.8387 | 1.99598 | 0.997992 | − | 0.0633350i | \(-0.0201737\pi\) | ||||
0.997992 | + | 0.0633350i | \(0.0201737\pi\) | |||||||
\(110\) | 0.665659 | − | 0.0778044i | 0.0634681 | − | 0.00741836i | ||||
\(111\) | 0.457571 | + | 1.35631i | 0.0434308 | + | 0.128736i | ||||
\(112\) | 1.59831 | + | 6.70061i | 0.151026 | + | 0.633148i | ||||
\(113\) | 4.55670 | + | 6.92813i | 0.428659 | + | 0.651744i | 0.983646 | − | 0.180115i | \(-0.0576471\pi\) |
−0.554987 | + | 0.831859i | \(0.687277\pi\) | |||||||
\(114\) | −0.0560935 | − | 0.603615i | −0.00525364 | − | 0.0565337i | ||||
\(115\) | 6.87172 | − | 2.05726i | 0.640791 | − | 0.191840i | ||||
\(116\) | 6.30985 | − | 7.51979i | 0.585855 | − | 0.698195i | ||||
\(117\) | 1.02391 | + | 5.46152i | 0.0946608 | + | 0.504918i | ||||
\(118\) | −0.135469 | + | 0.0238869i | −0.0124710 | + | 0.00219897i | ||||
\(119\) | −6.94916 | + | 10.5990i | −0.637028 | + | 0.971611i | ||||
\(120\) | −0.103930 | − | 3.01255i | −0.00948750 | − | 0.275007i | ||||
\(121\) | 3.52759 | + | 8.17787i | 0.320690 | + | 0.743442i | ||||
\(122\) | 4.17927 | − | 5.61374i | 0.378373 | − | 0.508244i | ||||
\(123\) | 2.76587 | − | 5.19657i | 0.249390 | − | 0.468559i | ||||
\(124\) | −7.92413 | − | 0.461528i | −0.711608 | − | 0.0414464i | ||||
\(125\) | 1.48869 | + | 8.44278i | 0.133152 | + | 0.755145i | ||||
\(126\) | −2.54904 | − | 2.96340i | −0.227087 | − | 0.264001i | ||||
\(127\) | 2.23251 | − | 12.6612i | 0.198103 | − | 1.12350i | −0.709827 | − | 0.704376i | \(-0.751227\pi\) |
0.907930 | − | 0.419122i | \(-0.137662\pi\) | |||||||
\(128\) | −2.61107 | + | 11.0170i | −0.230788 | + | 0.973771i | ||||
\(129\) | 0.546016 | − | 0.386733i | 0.0480741 | − | 0.0340499i | ||||
\(130\) | 0.0498817 | + | 0.856436i | 0.00437492 | + | 0.0751144i | ||||
\(131\) | −3.63512 | + | 12.1421i | −0.317602 | + | 1.06086i | 0.638937 | + | 0.769259i | \(0.279374\pi\) |
−0.956539 | + | 0.291605i | \(0.905811\pi\) | |||||||
\(132\) | −4.17354 | + | 1.40800i | −0.363260 | + | 0.122551i | ||||
\(133\) | 1.12503 | + | 1.50663i | 0.0975527 | + | 0.130641i | ||||
\(134\) | 1.84055 | − | 1.06264i | 0.158999 | − | 0.0917983i | ||||
\(135\) | −2.38867 | − | 4.26337i | −0.205584 | − | 0.366933i | ||||
\(136\) | −7.67667 | + | 4.43213i | −0.658269 | + | 0.380052i | ||||
\(137\) | 0.944465 | + | 8.08041i | 0.0806911 | + | 0.690356i | 0.971675 | + | 0.236321i | \(0.0759418\pi\) |
−0.890984 | + | 0.454035i | \(0.849984\pi\) | |||||||
\(138\) | 5.70957 | − | 3.11846i | 0.486031 | − | 0.265461i | ||||
\(139\) | −19.8221 | − | 5.93435i | −1.68129 | − | 0.503345i | −0.703106 | − | 0.711085i | \(-0.748204\pi\) |
−0.978184 | + | 0.207740i | \(0.933389\pi\) | |||||||
\(140\) | 2.40835 | + | 3.65021i | 0.203543 | + | 0.308499i | ||||
\(141\) | −7.44457 | + | 10.7550i | −0.626946 | + | 0.905736i | ||||
\(142\) | 0.00267058 | + | 0.00892037i | 0.000224110 | + | 0.000748581i | ||||
\(143\) | 2.51850 | − | 0.916658i | 0.210607 | − | 0.0766548i | ||||
\(144\) | 1.88325 | + | 7.58050i | 0.156938 | + | 0.631708i | ||||
\(145\) | 1.79668 | − | 4.93633i | 0.149206 | − | 0.409940i | ||||
\(146\) | −0.604764 | + | 0.303724i | −0.0500506 | + | 0.0251364i | ||||
\(147\) | 11.5402 | + | 3.71814i | 0.951817 | + | 0.306667i | ||||
\(148\) | −0.575277 | − | 1.33364i | −0.0472875 | − | 0.109625i | ||||
\(149\) | 1.37322 | − | 11.7487i | 0.112499 | − | 0.962488i | −0.812616 | − | 0.582800i | \(-0.801957\pi\) |
0.925115 | − | 0.379688i | \(-0.123969\pi\) | |||||||
\(150\) | 1.31367 | + | 3.25539i | 0.107261 | + | 0.265801i | ||||
\(151\) | 11.8155 | + | 7.77118i | 0.961532 | + | 0.632410i | 0.930182 | − | 0.367099i | \(-0.119649\pi\) |
0.0313503 | + | 0.999508i | \(0.490019\pi\) | |||||||
\(152\) | 0.228367 | + | 1.29513i | 0.0185230 | + | 0.105049i | ||||
\(153\) | −7.76692 | + | 12.0913i | −0.627918 | + | 0.977523i | ||||
\(154\) | −1.20979 | + | 1.44602i | −0.0974879 | + | 0.116523i | ||||
\(155\) | −4.06925 | + | 1.21825i | −0.326850 | + | 0.0978524i | ||||
\(156\) | −1.48865 | − | 5.43815i | −0.119187 | − | 0.435401i | ||||
\(157\) | 5.28310 | + | 8.03256i | 0.421637 | + | 0.641068i | 0.982374 | − | 0.186926i | \(-0.0598524\pi\) |
−0.560737 | + | 0.827994i | \(0.689482\pi\) | |||||||
\(158\) | −3.52983 | − | 1.05676i | −0.280818 | − | 0.0840715i | ||||
\(159\) | −14.1622 | − | 5.53800i | −1.12314 | − | 0.439192i | ||||
\(160\) | 0.544079 | + | 4.65490i | 0.0430132 | + | 0.368002i | ||||
\(161\) | −10.0642 | + | 17.4901i | −0.793171 | + | 1.37841i | ||||
\(162\) | −2.92162 | − | 3.33302i | −0.229544 | − | 0.261867i | ||||
\(163\) | −0.312236 | − | 0.540809i | −0.0244562 | − | 0.0423594i | 0.853538 | − | 0.521030i | \(-0.174452\pi\) |
−0.877994 | + | 0.478671i | \(0.841119\pi\) | |||||||
\(164\) | −2.36586 | + | 5.48468i | −0.184743 | + | 0.428282i | ||||
\(165\) | −1.84102 | + | 1.47191i | −0.143324 | + | 0.114588i | ||||
\(166\) | 0.961657 | − | 0.907277i | 0.0746391 | − | 0.0704183i | ||||
\(167\) | −4.23789 | − | 2.12835i | −0.327938 | − | 0.164697i | 0.277211 | − | 0.960809i | \(-0.410590\pi\) |
−0.605149 | + | 0.796113i | \(0.706886\pi\) | |||||||
\(168\) | 6.03704 | + | 5.95498i | 0.465768 | + | 0.459437i | ||||
\(169\) | −2.74450 | − | 9.16725i | −0.211115 | − | 0.705173i | ||||
\(170\) | −1.42616 | + | 1.69963i | −0.109382 | + | 0.130356i | ||||
\(171\) | 1.29158 | + | 1.69636i | 0.0987696 | + | 0.129724i | ||||
\(172\) | −0.520084 | + | 0.436402i | −0.0396560 | + | 0.0332753i | ||||
\(173\) | 15.4175 | − | 7.74297i | 1.17217 | − | 0.588687i | 0.247291 | − | 0.968941i | \(-0.420460\pi\) |
0.924882 | + | 0.380254i | \(0.124163\pi\) | |||||||
\(174\) | 0.665061 | − | 4.71774i | 0.0504181 | − | 0.357651i | ||||
\(175\) | −8.74333 | − | 6.48955i | −0.660934 | − | 0.490564i | ||||
\(176\) | 3.45930 | − | 1.49220i | 0.260755 | − | 0.112479i | ||||
\(177\) | 0.359671 | − | 0.323575i | 0.0270345 | − | 0.0243214i | ||||
\(178\) | 0.600147 | + | 0.0349546i | 0.0449829 | + | 0.00261996i | ||||
\(179\) | −2.45722 | + | 0.433274i | −0.183661 | + | 0.0323844i | −0.264722 | − | 0.964325i | \(-0.585280\pi\) |
0.0810610 | + | 0.996709i | \(0.474169\pi\) | |||||||
\(180\) | 2.76938 | + | 4.11324i | 0.206417 | + | 0.306583i | ||||
\(181\) | 7.21339 | − | 8.59658i | 0.536167 | − | 0.638979i | −0.428157 | − | 0.903704i | \(-0.640837\pi\) |
0.964324 | + | 0.264726i | \(0.0852814\pi\) | |||||||
\(182\) | −1.75782 | − | 1.65362i | −0.130298 | − | 0.122574i | ||||
\(183\) | −2.01293 | + | 24.5320i | −0.148800 | + | 1.81345i | ||||
\(184\) | −11.7915 | + | 7.75538i | −0.869279 | + | 0.571734i | ||||
\(185\) | −0.533381 | − | 0.565351i | −0.0392149 | − | 0.0415654i | ||||
\(186\) | −3.38105 | + | 1.84667i | −0.247911 | + | 0.135404i | ||||
\(187\) | 6.36460 | + | 2.74542i | 0.465426 | + | 0.200765i | ||||
\(188\) | 6.63609 | − | 11.4940i | 0.483987 | − | 0.838290i | ||||
\(189\) | 13.1242 | + | 4.09347i | 0.954642 | + | 0.297756i | ||||
\(190\) | 0.164585 | + | 0.285070i | 0.0119403 | + | 0.0206812i | ||||
\(191\) | 1.38435 | + | 11.8439i | 0.100168 | + | 0.856995i | 0.946138 | + | 0.323764i | \(0.104948\pi\) |
−0.845970 | + | 0.533231i | \(0.820978\pi\) | |||||||
\(192\) | −1.52439 | − | 4.51853i | −0.110013 | − | 0.326097i | ||||
\(193\) | 8.14994 | − | 1.93157i | 0.586645 | − | 0.139037i | 0.0734344 | − | 0.997300i | \(-0.476604\pi\) |
0.513211 | + | 0.858263i | \(0.328456\pi\) | |||||||
\(194\) | −7.47058 | − | 3.75187i | −0.536356 | − | 0.269368i | ||||
\(195\) | −1.74393 | − | 2.46220i | −0.124885 | − | 0.176322i | ||||
\(196\) | −11.9788 | − | 2.80248i | −0.855631 | − | 0.200177i | ||||
\(197\) | −6.28798 | − | 1.10874i | −0.448000 | − | 0.0789944i | −0.0549033 | − | 0.998492i | \(-0.517485\pi\) |
−0.393096 | + | 0.919497i | \(0.628596\pi\) | |||||||
\(198\) | −1.35639 | + | 1.65238i | −0.0963945 | + | 0.117429i | ||||
\(199\) | 4.27137 | − | 11.7355i | 0.302789 | − | 0.831907i | −0.691223 | − | 0.722641i | \(-0.742928\pi\) |
0.994013 | − | 0.109265i | \(-0.0348498\pi\) | |||||||
\(200\) | −3.41783 | − | 6.80545i | −0.241677 | − | 0.481218i | ||||
\(201\) | −3.51195 | + | 6.59832i | −0.247714 | + | 0.465409i | ||||
\(202\) | −0.845040 | + | 7.22978i | −0.0594568 | + | 0.508686i | ||||
\(203\) | 5.87284 | + | 13.5608i | 0.412192 | + | 0.951783i | ||||
\(204\) | 6.85119 | − | 12.8721i | 0.479679 | − | 0.901230i | ||||
\(205\) | −0.185859 | + | 3.19108i | −0.0129810 | + | 0.222875i | ||||
\(206\) | 4.10561 | + | 1.49432i | 0.286051 | + | 0.104114i | ||||
\(207\) | −11.2259 | + | 19.9377i | −0.780252 | + | 1.38577i | ||||
\(208\) | 1.64940 | + | 4.53170i | 0.114366 | + | 0.314217i | ||||
\(209\) | 0.705705 | − | 0.748004i | 0.0488146 | − | 0.0517405i | ||||
\(210\) | 1.92972 | + | 0.883821i | 0.133164 | + | 0.0609895i | ||||
\(211\) | −13.4501 | + | 8.84630i | −0.925946 | + | 0.609005i | −0.920399 | − | 0.390980i | \(-0.872136\pi\) |
−0.00554724 | + | 0.999985i | \(0.501766\pi\) | |||||||
\(212\) | 14.7815 | + | 4.42529i | 1.01520 | + | 0.303930i | ||||
\(213\) | −0.0245816 | − | 0.0216392i | −0.00168430 | − | 0.00148269i | ||||
\(214\) | 4.27512 | + | 5.74248i | 0.292241 | + | 0.392548i | ||||
\(215\) | −0.181658 | + | 0.314642i | −0.0123890 | + | 0.0214584i | ||||
\(216\) | 6.90817 | + | 6.68803i | 0.470042 | + | 0.455063i | ||||
\(217\) | 5.95976 | − | 10.3572i | 0.404575 | − | 0.703089i | ||||
\(218\) | −8.23178 | + | 6.12833i | −0.557527 | + | 0.415063i | ||||
\(219\) | 1.23857 | − | 2.03250i | 0.0836951 | − | 0.137344i | ||||
\(220\) | 1.73965 | − | 1.64127i | 0.117287 | − | 0.110655i | ||||
\(221\) | −3.98208 | + | 7.92898i | −0.267864 | + | 0.533361i | ||||
\(222\) | −0.579622 | − | 0.401212i | −0.0389017 | − | 0.0269276i | ||||
\(223\) | 4.82697 | − | 20.3666i | 0.323238 | − | 1.36385i | −0.532496 | − | 0.846432i | \(-0.678746\pi\) |
0.855734 | − | 0.517416i | \(-0.173106\pi\) | |||||||
\(224\) | −10.1119 | − | 8.45998i | −0.675627 | − | 0.565256i | ||||
\(225\) | −9.98236 | − | 7.26546i | −0.665491 | − | 0.484364i | ||||
\(226\) | −3.83746 | − | 1.39672i | −0.255264 | − | 0.0929086i | ||||
\(227\) | 0.870186 | − | 14.9405i | 0.0577563 | − | 0.991637i | −0.837599 | − | 0.546285i | \(-0.816041\pi\) |
0.895356 | − | 0.445352i | \(-0.146921\pi\) | |||||||
\(228\) | −1.44691 | − | 1.60832i | −0.0958238 | − | 0.106513i | ||||
\(229\) | −22.8431 | − | 17.0060i | −1.50951 | − | 1.12379i | −0.956925 | − | 0.290337i | \(-0.906233\pi\) |
−0.552589 | − | 0.833454i | \(-0.686360\pi\) | |||||||
\(230\) | −2.10949 | + | 2.83353i | −0.139095 | + | 0.186838i | ||||
\(231\) | 0.916113 | − | 6.56730i | 0.0602758 | − | 0.432096i | ||||
\(232\) | −0.600970 | + | 10.3183i | −0.0394556 | + | 0.677426i | ||||
\(233\) | −4.93273 | + | 0.869774i | −0.323154 | + | 0.0569808i | −0.332872 | − | 0.942972i | \(-0.608018\pi\) |
0.00971795 | + | 0.999953i | \(0.496907\pi\) | |||||||
\(234\) | −2.01062 | − | 1.85632i | −0.131438 | − | 0.121351i | ||||
\(235\) | 1.23333 | − | 6.99456i | 0.0804535 | − | 0.456275i | ||||
\(236\) | −0.336878 | + | 0.357069i | −0.0219289 | + | 0.0232432i | ||||
\(237\) | 12.4992 | − | 3.42154i | 0.811908 | − | 0.222253i | ||||
\(238\) | −0.371925 | − | 6.23051i | −0.0241083 | − | 0.403864i | ||||
\(239\) | −5.49478 | − | 23.1843i | −0.355427 | − | 1.49967i | −0.797848 | − | 0.602859i | \(-0.794028\pi\) |
0.442421 | − | 0.896808i | \(-0.354120\pi\) | |||||||
\(240\) | −2.64851 | − | 3.31268i | −0.170960 | − | 0.213832i | ||||
\(241\) | 15.2095 | + | 6.56072i | 0.979728 | + | 0.422613i | 0.824869 | − | 0.565323i | \(-0.191249\pi\) |
0.154859 | + | 0.987937i | \(0.450508\pi\) | |||||||
\(242\) | −3.79846 | − | 2.19304i | −0.244175 | − | 0.140974i | ||||
\(243\) | 14.9241 | + | 4.50226i | 0.957383 | + | 0.288820i | ||||
\(244\) | − | 24.9756i | − | 1.59890i | ||||||
\(245\) | −6.53668 | + | 0.783194i | −0.417613 | + | 0.0500364i | ||||
\(246\) | 0.435644 | + | 2.86617i | 0.0277756 | + | 0.182740i | ||||
\(247\) | 0.903348 | + | 0.957493i | 0.0574787 | + | 0.0609238i | ||||
\(248\) | 6.98259 | − | 4.59252i | 0.443395 | − | 0.291626i | ||||
\(249\) | −1.17922 | + | 4.49786i | −0.0747300 | + | 0.285040i | ||||
\(250\) | −3.07096 | − | 2.89730i | −0.194224 | − | 0.183241i | ||||
\(251\) | −4.00418 | + | 1.45740i | −0.252741 | + | 0.0919903i | −0.465284 | − | 0.885161i | \(-0.654048\pi\) |
0.212543 | + | 0.977152i | \(0.431826\pi\) | |||||||
\(252\) | −13.6118 | − | 3.05061i | −0.857465 | − | 0.192170i | ||||
\(253\) | 10.3705 | + | 3.77454i | 0.651985 | + | 0.237303i | ||||
\(254\) | 2.84156 | + | 5.65802i | 0.178296 | + | 0.355016i | ||||
\(255\) | 1.08927 | − | 7.72692i | 0.0682125 | − | 0.483879i | ||||
\(256\) | −0.0274831 | − | 0.0637130i | −0.00171770 | − | 0.00398206i | ||||
\(257\) | −10.1866 | + | 13.6829i | −0.635421 | + | 0.853519i | −0.996885 | − | 0.0788673i | \(-0.974870\pi\) |
0.361464 | + | 0.932386i | \(0.382277\pi\) | |||||||
\(258\) | −0.101957 | + | 0.313344i | −0.00634759 | + | 0.0195079i | ||||
\(259\) | 2.18301 | + | 0.123979i | 0.135646 | + | 0.00770371i | ||||
\(260\) | 1.96790 | + | 2.34526i | 0.122044 | + | 0.145447i | ||||
\(261\) | 6.80261 | + | 15.3136i | 0.421071 | + | 0.947889i | ||||
\(262\) | −2.13486 | − | 5.86547i | −0.131892 | − | 0.362370i | ||||
\(263\) | −9.39586 | − | 8.86454i | −0.579374 | − | 0.546611i | 0.339783 | − | 0.940504i | \(-0.389647\pi\) |
−0.919156 | + | 0.393893i | \(0.871128\pi\) | |||||||
\(264\) | 2.63952 | − | 3.81326i | 0.162451 | − | 0.234690i | ||||
\(265\) | 8.24306 | − | 0.480104i | 0.506367 | − | 0.0294925i | ||||
\(266\) | −0.887491 | − | 0.264300i | −0.0544156 | − | 0.0162053i | ||||
\(267\) | −1.85559 | + | 1.01349i | −0.113560 | + | 0.0620244i | ||||
\(268\) | 3.00404 | − | 6.96415i | 0.183501 | − | 0.425403i | ||||
\(269\) | −2.99609 | − | 5.18938i | −0.182675 | − | 0.316402i | 0.760116 | − | 0.649788i | \(-0.225142\pi\) |
−0.942791 | + | 0.333386i | \(0.891809\pi\) | |||||||
\(270\) | 2.19737 | + | 0.981662i | 0.133728 | + | 0.0597421i | ||||
\(271\) | −2.96182 | − | 1.71001i | −0.179918 | − | 0.103876i | 0.407336 | − | 0.913278i | \(-0.366458\pi\) |
−0.587254 | + | 0.809403i | \(0.699791\pi\) | |||||||
\(272\) | −4.94002 | + | 11.4523i | −0.299533 | + | 0.694395i | ||||
\(273\) | 8.32416 | + | 1.65950i | 0.503801 | + | 0.100437i | ||||
\(274\) | −2.74941 | − | 2.91420i | −0.166098 | − | 0.176054i | ||||
\(275\) | −2.67260 | + | 5.32159i | −0.161164 | + | 0.320904i | ||||
\(276\) | 9.69807 | − | 21.0940i | 0.583755 | − | 1.26971i | ||||
\(277\) | 0.419419 | + | 1.40096i | 0.0252005 | + | 0.0841754i | 0.969665 | − | 0.244439i | \(-0.0786037\pi\) |
−0.944464 | + | 0.328614i | \(0.893418\pi\) | |||||||
\(278\) | 9.57541 | − | 3.48517i | 0.574295 | − | 0.209026i | ||||
\(279\) | 6.64766 | − | 11.8066i | 0.397985 | − | 0.706840i | ||||
\(280\) | −4.32908 | − | 1.56857i | −0.258712 | − | 0.0937400i | ||||
\(281\) | 4.27828 | − | 6.50481i | 0.255221 | − | 0.388045i | −0.685037 | − | 0.728509i | \(-0.740214\pi\) |
0.940258 | + | 0.340464i | \(0.110584\pi\) | |||||||
\(282\) | −0.222099 | − | 6.43782i | −0.0132258 | − | 0.383367i | ||||
\(283\) | −15.8229 | − | 11.7797i | −0.940574 | − | 0.700231i | 0.0134666 | − | 0.999909i | \(-0.495713\pi\) |
−0.954040 | + | 0.299678i | \(0.903121\pi\) | |||||||
\(284\) | 0.0266544 | + | 0.0198435i | 0.00158165 | + | 0.00117749i | ||||
\(285\) | −1.02197 | − | 0.543942i | −0.0605361 | − | 0.0322203i | ||||
\(286\) | −0.725292 | + | 1.10275i | −0.0428874 | + | 0.0652071i | ||||
\(287\) | −5.79005 | − | 6.88008i | −0.341776 | − | 0.406119i | ||||
\(288\) | −11.5549 | − | 9.48512i | −0.680881 | − | 0.558916i | ||||
\(289\) | −5.58850 | + | 2.03405i | −0.328735 | + | 0.119650i | ||||
\(290\) | 0.741967 | + | 2.47834i | 0.0435698 | + | 0.145533i | ||||
\(291\) | 29.2756 | − | 2.72056i | 1.71617 | − | 0.159482i | ||||
\(292\) | −1.08389 | + | 2.15820i | −0.0634298 | + | 0.126299i | ||||
\(293\) | −18.8352 | − | 19.9642i | −1.10037 | − | 1.16632i | −0.984921 | − | 0.173006i | \(-0.944652\pi\) |
−0.115445 | − | 0.993314i | \(-0.536829\pi\) | |||||||
\(294\) | −5.65209 | + | 1.92503i | −0.329636 | + | 0.112270i | ||||
\(295\) | −0.104050 | + | 0.241216i | −0.00605805 | + | 0.0140441i | ||||
\(296\) | 1.32439 | + | 0.764635i | 0.0769784 | + | 0.0444435i | ||||
\(297\) | 0.969122 | − | 7.45600i | 0.0562342 | − | 0.432641i | ||||
\(298\) | 2.91264 | + | 5.04485i | 0.168725 | + | 0.292240i | ||||
\(299\) | −5.59534 | + | 12.9715i | −0.323587 | + | 0.750159i | ||||
\(300\) | 10.6978 | + | 6.51908i | 0.617638 | + | 0.376379i | ||||
\(301\) | −0.237143 | − | 0.994177i | −0.0136687 | − | 0.0573034i | ||||
\(302\) | −6.95279 | + | 0.404954i | −0.400088 | + | 0.0233025i | ||||
\(303\) | −10.9443 | − | 23.1433i | −0.628735 | − | 1.32955i | ||||
\(304\) | 1.34593 | + | 1.26982i | 0.0771946 | + | 0.0728293i | ||||
\(305\) | −4.57125 | − | 12.5594i | −0.261749 | − | 0.719149i | ||||
\(306\) | −0.487741 | − | 7.06048i | −0.0278823 | − | 0.403621i | ||||
\(307\) | −5.08930 | − | 6.06519i | −0.290461 | − | 0.346158i | 0.601005 | − | 0.799245i | \(-0.294767\pi\) |
−0.891466 | + | 0.453087i | \(0.850323\pi\) | |||||||
\(308\) | −0.381499 | + | 6.71738i | −0.0217379 | + | 0.382758i | ||||
\(309\) | −15.0319 | + | 3.18851i | −0.855133 | + | 0.181388i | ||||
\(310\) | 1.24918 | − | 1.67794i | 0.0709487 | − | 0.0953006i | ||||
\(311\) | 7.32538 | + | 16.9821i | 0.415384 | + | 0.962968i | 0.989545 | + | 0.144226i | \(0.0460691\pi\) |
−0.574161 | + | 0.818743i | \(0.694672\pi\) | |||||||
\(312\) | 4.67651 | + | 3.65686i | 0.264755 | + | 0.207029i | ||||
\(313\) | −4.57209 | − | 9.10378i | −0.258430 | − | 0.514576i | 0.726578 | − | 0.687083i | \(-0.241109\pi\) |
−0.985008 | + | 0.172508i | \(0.944813\pi\) | |||||||
\(314\) | −4.44920 | − | 1.61938i | −0.251083 | − | 0.0913868i | ||||
\(315\) | −7.40327 | + | 0.957301i | −0.417127 | + | 0.0539378i | ||||
\(316\) | −12.3562 | + | 4.49729i | −0.695091 | + | 0.252992i | ||||
\(317\) | 12.9259 | + | 12.1949i | 0.725989 | + | 0.684935i | 0.957674 | − | 0.287855i | \(-0.0929423\pi\) |
−0.231685 | + | 0.972791i | \(0.574424\pi\) | |||||||
\(318\) | 7.22306 | − | 1.97725i | 0.405049 | − | 0.110879i | ||||
\(319\) | 6.75252 | − | 4.44120i | 0.378068 | − | 0.248659i | ||||
\(320\) | 1.77695 | + | 1.88345i | 0.0993343 | + | 0.105288i | ||||
\(321\) | −23.4498 | − | 9.16979i | −1.30884 | − | 0.511808i | ||||
\(322\) | −1.16795 | − | 9.86873i | −0.0650875 | − | 0.549963i | ||||
\(323\) | 3.40446i | 0.189429i | ||||||||
\(324\) | −15.4660 | − | 3.31465i | −0.859224 | − | 0.184147i | ||||
\(325\) | −6.60153 | − | 3.81140i | −0.366187 | − | 0.211418i | ||||
\(326\) | 0.282384 | + | 0.121809i | 0.0156398 | + | 0.00674636i | ||||
\(327\) | 13.1448 | − | 33.6150i | 0.726909 | − | 1.85891i | ||||
\(328\) | −1.45039 | − | 6.11969i | −0.0800845 | − | 0.337903i | ||||
\(329\) | 11.0035 | + | 16.6775i | 0.606643 | + | 0.919458i | ||||
\(330\) | 0.294383 | − | 1.12286i | 0.0162053 | − | 0.0618112i | ||||
\(331\) | −4.13666 | + | 4.38460i | −0.227371 | + | 0.240999i | −0.831009 | − | 0.556260i | \(-0.812236\pi\) |
0.603637 | + | 0.797259i | \(0.293717\pi\) | |||||||
\(332\) | 0.819292 | − | 4.64644i | 0.0449645 | − | 0.255006i | ||||
\(333\) | 2.47651 | + | 0.117436i | 0.135712 | + | 0.00643544i | ||||
\(334\) | 2.29998 | − | 0.405549i | 0.125849 | − | 0.0221907i | ||||
\(335\) | 0.235994 | − | 4.05186i | 0.0128937 | − | 0.221377i | ||||
\(336\) | 11.8170 | + | 1.64842i | 0.644669 | + | 0.0899288i | ||||
\(337\) | −7.10599 | + | 9.54500i | −0.387088 | + | 0.519949i | −0.952369 | − | 0.304949i | \(-0.901361\pi\) |
0.565281 | + | 0.824899i | \(0.308768\pi\) | |||||||
\(338\) | 3.78009 | + | 2.81417i | 0.205610 | + | 0.153071i | ||||
\(339\) | 14.0501 | − | 2.98026i | 0.763097 | − | 0.161866i | ||||
\(340\) | −0.460382 | + | 7.90445i | −0.0249677 | + | 0.428679i | ||||
\(341\) | −6.14110 | − | 2.23518i | −0.332559 | − | 0.121042i | ||||
\(342\) | −1.00908 | − | 0.290268i | −0.0545647 | − | 0.0156959i | ||||
\(343\) | 11.8429 | − | 14.2388i | 0.639459 | − | 0.768825i | ||||
\(344\) | 0.164854 | − | 0.695572i | 0.00888831 | − | 0.0375027i | ||||
\(345\) | 1.01602 | − | 12.3825i | 0.0547009 | − | 0.666651i | ||||
\(346\) | −3.81320 | + | 7.59271i | −0.204999 | + | 0.408187i | ||||
\(347\) | 15.7935 | − | 14.9004i | 0.847841 | − | 0.799897i | −0.133725 | − | 0.991018i | \(-0.542694\pi\) |
0.981566 | + | 0.191122i | \(0.0612126\pi\) | |||||||
\(348\) | −8.15003 | − | 14.9218i | −0.436887 | − | 0.799895i | ||||
\(349\) | 12.2562 | − | 9.12444i | 0.656062 | − | 0.488420i | −0.216909 | − | 0.976192i | \(-0.569598\pi\) |
0.872971 | + | 0.487772i | \(0.162190\pi\) | |||||||
\(350\) | 5.36230 | − | 0.00775240i | 0.286627 | − | 0.000414383i | ||||
\(351\) | 9.45588 | + | 1.79338i | 0.504718 | + | 0.0957238i | ||||
\(352\) | −3.60524 | + | 6.24445i | −0.192160 | + | 0.332831i | ||||
\(353\) | 2.89222 | + | 3.88492i | 0.153937 | + | 0.206773i | 0.872401 | − | 0.488791i | \(-0.162562\pi\) |
−0.718464 | + | 0.695564i | \(0.755154\pi\) | |||||||
\(354\) | −0.0469203 | + | 0.233594i | −0.00249379 | + | 0.0124154i | ||||
\(355\) | 0.0170355 | + | 0.00510009i | 0.000904151 | + | 0.000270685i | ||||
\(356\) | 1.79242 | − | 1.17889i | 0.0949979 | − | 0.0624811i | ||||
\(357\) | 12.7139 | + | 17.8955i | 0.672891 | + | 0.947128i | ||||
\(358\) | 0.843241 | − | 0.893783i | 0.0445667 | − | 0.0472379i | ||||
\(359\) | 5.45701 | + | 14.9930i | 0.288010 | + | 0.791301i | 0.996345 | + | 0.0854240i | \(0.0272245\pi\) |
−0.708335 | + | 0.705877i | \(0.750553\pi\) | |||||||
\(360\) | −4.92512 | − | 1.73263i | −0.259577 | − | 0.0913176i | ||||
\(361\) | −17.3795 | − | 6.32563i | −0.914712 | − | 0.332928i | ||||
\(362\) | −0.321340 | + | 5.51720i | −0.0168893 | + | 0.289977i | ||||
\(363\) | 15.4169 | − | 0.531870i | 0.809178 | − | 0.0279159i | ||||
\(364\) | −8.55573 | − | 0.987486i | −0.448442 | − | 0.0517583i | ||||
\(365\) | −0.150039 | + | 1.28367i | −0.00785341 | + | 0.0671902i | ||||
\(366\) | −6.41931 | − | 10.2827i | −0.335543 | − | 0.537484i | ||||
\(367\) | 4.51023 | + | 8.98061i | 0.235432 | + | 0.468784i | 0.980062 | − | 0.198694i | \(-0.0636700\pi\) |
−0.744629 | + | 0.667478i | \(0.767374\pi\) | |||||||
\(368\) | −6.79178 | + | 18.6603i | −0.354046 | + | 0.972733i | ||||
\(369\) | −6.63793 | − | 7.73957i | −0.345557 | − | 0.402906i | ||||
\(370\) | 0.376959 | + | 0.0664681i | 0.0195972 | + | 0.00345551i | ||||
\(371\) | −15.9158 | + | 16.9187i | −0.826308 | + | 0.878376i | ||||
\(372\) | −5.74293 | + | 12.4913i | −0.297757 | + | 0.647645i | ||||
\(373\) | −0.250707 | − | 0.125910i | −0.0129811 | − | 0.00651936i | 0.442297 | − | 0.896869i | \(-0.354164\pi\) |
−0.455278 | + | 0.890349i | \(0.650460\pi\) | |||||||
\(374\) | −3.32156 | + | 0.787223i | −0.171754 | + | 0.0407063i | ||||
\(375\) | 14.5581 | + | 2.92419i | 0.751779 | + | 0.151004i | ||||
\(376\) | 1.62233 | + | 13.8799i | 0.0836650 | + | 0.715800i | ||||
\(377\) | 5.17282 | + | 8.95959i | 0.266414 | + | 0.461442i | ||||
\(378\) | −6.38818 | + | 2.24259i | −0.328573 | + | 0.115346i | ||||
\(379\) | 7.33711 | − | 12.7082i | 0.376882 | − | 0.652779i | −0.613725 | − | 0.789520i | \(-0.710330\pi\) |
0.990607 | + | 0.136741i | \(0.0436629\pi\) | |||||||
\(380\) | 1.07863 | + | 0.465275i | 0.0553325 | + | 0.0238681i | ||||
\(381\) | −19.0156 | − | 11.5878i | −0.974198 | − | 0.593661i | ||||
\(382\) | −4.02996 | − | 4.27151i | −0.206191 | − | 0.218549i | ||||
\(383\) | −28.0322 | + | 18.4371i | −1.43238 | + | 0.942091i | −0.433212 | + | 0.901292i | \(0.642620\pi\) |
−0.999167 | + | 0.0407985i | \(0.987010\pi\) | |||||||
\(384\) | 16.1245 | + | 11.1613i | 0.822849 | + | 0.569572i | ||||
\(385\) | 1.03763 | + | 3.44776i | 0.0528823 | + | 0.175714i | ||||
\(386\) | −2.65137 | + | 3.15979i | −0.134951 | + | 0.160829i | ||||
\(387\) | −0.279420 | − | 1.12473i | −0.0142037 | − | 0.0571731i | ||||
\(388\) | −29.3800 | + | 5.18049i | −1.49155 | + | 0.263000i | ||||
\(389\) | −20.3654 | − | 1.18615i | −1.03256 | − | 0.0601400i | −0.466517 | − | 0.884512i | \(-0.654491\pi\) |
−0.566048 | + | 0.824372i | \(0.691528\pi\) | |||||||
\(390\) | 1.41299 | + | 0.459765i | 0.0715493 | + | 0.0232811i | ||||
\(391\) | −33.5475 | + | 14.4710i | −1.69657 | + | 0.731828i | ||||
\(392\) | 11.8789 | − | 5.16486i | 0.599976 | − | 0.260865i | ||||
\(393\) | 17.2936 | + | 13.5229i | 0.872345 | + | 0.682142i | ||||
\(394\) | 2.80996 | − | 1.41122i | 0.141564 | − | 0.0710961i | ||||
\(395\) | −5.39038 | + | 4.52307i | −0.271220 | + | 0.227580i | ||||
\(396\) | −0.361363 | + | 7.62050i | −0.0181592 | + | 0.382944i | ||||
\(397\) | −9.57803 | + | 11.4146i | −0.480707 | + | 0.572885i | −0.950829 | − | 0.309717i | \(-0.899766\pi\) |
0.470121 | + | 0.882602i | \(0.344210\pi\) | |||||||
\(398\) | 1.76393 | + | 5.89194i | 0.0884179 | + | 0.295336i | ||||
\(399\) | 3.14001 | − | 0.864433i | 0.157197 | − | 0.0432758i | ||||
\(400\) | −9.57549 | − | 4.80899i | −0.478774 | − | 0.240449i | ||||
\(401\) | 19.7784 | − | 18.6599i | 0.987685 | − | 0.931833i | −0.00999199 | − | 0.999950i | \(-0.503181\pi\) |
0.997677 | + | 0.0681170i | \(0.0216991\pi\) | |||||||
\(402\) | −0.553157 | − | 3.63930i | −0.0275890 | − | 0.181512i | ||||
\(403\) | 3.31341 | − | 7.68135i | 0.165053 | − | 0.382635i | ||||
\(404\) | 12.9882 | + | 22.4961i | 0.646185 | + | 1.11922i | ||||
\(405\) | −8.38401 | + | 1.16390i | −0.416605 | + | 0.0578345i | ||||
\(406\) | −6.30794 | − | 3.62974i | −0.313058 | − | 0.180141i | ||||
\(407\) | −0.138827 | − | 1.18774i | −0.00688139 | − | 0.0588741i | ||||
\(408\) | 2.30714 | + | 15.1790i | 0.114220 | + | 0.751473i | ||||
\(409\) | −1.98746 | − | 0.595007i | −0.0982737 | − | 0.0294212i | 0.237289 | − | 0.971439i | \(-0.423741\pi\) |
−0.335563 | + | 0.942018i | \(0.608926\pi\) | |||||||
\(410\) | −0.865027 | − | 1.31521i | −0.0427207 | − | 0.0649536i | ||||
\(411\) | 13.6303 | + | 3.57350i | 0.672334 | + | 0.176268i | ||||
\(412\) | 14.9368 | − | 4.47179i | 0.735884 | − | 0.220309i | ||||
\(413\) | −0.253763 | − | 0.694085i | −0.0124869 | − | 0.0341537i | ||||
\(414\) | −1.42888 | − | 11.1772i | −0.0702254 | − | 0.549330i | ||||
\(415\) | −0.438435 | − | 2.48649i | −0.0215219 | − | 0.122057i | ||||
\(416\) | −7.71145 | − | 5.07190i | −0.378085 | − | 0.248670i | ||||
\(417\) | −22.0763 | + | 28.2318i | −1.08108 | + | 1.38252i | ||||
\(418\) | −0.0587942 | + | 0.503016i | −0.00287572 | + | 0.0246033i | ||||
\(419\) | 2.57650 | + | 5.97301i | 0.125870 | + | 0.291801i | 0.969486 | − | 0.245147i | \(-0.0788364\pi\) |
−0.843615 | + | 0.536948i | \(0.819577\pi\) | |||||||
\(420\) | 7.40733 | − | 1.58241i | 0.361441 | − | 0.0772137i | ||||
\(421\) | −27.2796 | + | 13.7003i | −1.32953 | + | 0.667714i | −0.964698 | − | 0.263360i | \(-0.915169\pi\) |
−0.364830 | + | 0.931074i | \(0.618873\pi\) | |||||||
\(422\) | 2.71157 | − | 7.44998i | 0.131997 | − | 0.362659i | ||||
\(423\) | 12.6530 | + | 18.7930i | 0.615211 | + | 0.913747i | ||||
\(424\) | −15.2663 | + | 5.55647i | −0.741396 | + | 0.269846i | ||||
\(425\) | −5.65417 | − | 18.8862i | −0.274267 | − | 0.916117i | ||||
\(426\) | 0.0160741 | + | 0.00131893i | 0.000778791 | + | 6.39023e-5i | ||||
\(427\) | 33.6242 | + | 16.8259i | 1.62719 | + | 0.814260i | ||||
\(428\) | 24.4751 | + | 7.32737i | 1.18305 | + | 0.354182i | ||||
\(429\) | 0.109972 | − | 4.64082i | 0.00530948 | − | 0.224061i | ||||
\(430\) | −0.0207718 | − | 0.177714i | −0.00100170 | − | 0.00857012i | ||||
\(431\) | 23.1761 | − | 13.3807i | 1.11635 | − | 0.644526i | 0.175885 | − | 0.984411i | \(-0.443721\pi\) |
0.940467 | + | 0.339884i | \(0.110388\pi\) | |||||||
\(432\) | 13.4161 | + | 1.74381i | 0.645481 | + | 0.0838989i | ||||
\(433\) | −3.00610 | + | 1.73557i | −0.144464 | + | 0.0834064i | −0.570490 | − | 0.821305i | \(-0.693247\pi\) |
0.426026 | + | 0.904711i | \(0.359913\pi\) | |||||||
\(434\) | 0.691630 | + | 5.84399i | 0.0331993 | + | 0.280521i | ||||
\(435\) | −6.82949 | − | 6.01200i | −0.327449 | − | 0.288253i | ||||
\(436\) | −10.5037 | + | 35.0848i | −0.503036 | + | 1.68026i | ||||
\(437\) | 0.315171 | + | 5.41127i | 0.0150767 | + | 0.258856i | ||||
\(438\) | 0.108461 | + | 1.16713i | 0.00518245 | + | 0.0557678i | ||||
\(439\) | 6.86358 | − | 28.9597i | 0.327581 | − | 1.38217i | −0.521203 | − | 0.853433i | \(-0.674517\pi\) |
0.848784 | − | 0.528740i | \(-0.177335\pi\) | |||||||
\(440\) | −0.437285 | + | 2.47997i | −0.0208467 | + | 0.118228i | ||||
\(441\) | 13.2771 | − | 16.2701i | 0.632245 | − | 0.774769i | ||||
\(442\) | −0.758771 | − | 4.30320i | −0.0360911 | − | 0.204683i | ||||
\(443\) | 2.38243 | + | 0.138761i | 0.113193 | + | 0.00659271i | 0.114648 | − | 0.993406i | \(-0.463426\pi\) |
−0.00145504 | + | 0.999999i | \(0.500463\pi\) | |||||||
\(444\) | −2.51418 | + | 0.0867370i | −0.119318 | + | 0.00411636i | ||||
\(445\) | 0.685575 | − | 0.920887i | 0.0324994 | − | 0.0436542i | ||||
\(446\) | 4.08273 | + | 9.46483i | 0.193323 | + | 0.448173i | ||||
\(447\) | −18.0856 | − | 9.62606i | −0.855420 | − | 0.455297i | ||||
\(448\) | −7.27265 | − | 0.413034i | −0.343600 | − | 0.0195140i | ||||
\(449\) | 20.6783 | − | 3.64615i | 0.975871 | − | 0.172072i | 0.337099 | − | 0.941469i | \(-0.390554\pi\) |
0.638771 | + | 0.769397i | \(0.279443\pi\) | |||||||
\(450\) | 6.07993 | − | 0.0656247i | 0.286611 | − | 0.00309358i | ||||
\(451\) | −3.16117 | + | 3.76733i | −0.148854 | + | 0.177397i | ||||
\(452\) | −13.9613 | + | 4.17973i | −0.656683 | + | 0.196598i | ||||
\(453\) | 19.9888 | − | 14.1577i | 0.939156 | − | 0.665186i | ||||
\(454\) | 4.05003 | + | 6.15777i | 0.190077 | + | 0.288999i | ||||
\(455\) | −4.48312 | + | 1.06937i | −0.210172 | + | 0.0501327i | ||||
\(456\) | 2.23323 | + | 0.448574i | 0.104581 | + | 0.0210064i | ||||
\(457\) | −22.4269 | + | 2.62133i | −1.04909 | + | 0.122621i | −0.623126 | − | 0.782121i | \(-0.714138\pi\) |
−0.425960 | + | 0.904742i | \(0.640064\pi\) | |||||||
\(458\) | 14.0248 | 0.655335 | ||||||||
\(459\) | 14.6052 | + | 20.1559i | 0.681714 | + | 0.940797i | ||||
\(460\) | 12.6064i | 0.587779i | ||||||||
\(461\) | −0.661983 | − | 0.889197i | −0.0308316 | − | 0.0414140i | 0.786440 | − | 0.617667i | \(-0.211922\pi\) |
−0.817272 | + | 0.576253i | \(0.804514\pi\) | |||||||
\(462\) | 1.56945 | + | 2.86365i | 0.0730176 | + | 0.133229i | ||||
\(463\) | 0.979790 | − | 3.27273i | 0.0455347 | − | 0.152096i | −0.932199 | − | 0.361946i | \(-0.882112\pi\) |
0.977734 | + | 0.209850i | \(0.0672975\pi\) | |||||||
\(464\) | 7.99135 | + | 12.1503i | 0.370989 | + | 0.564061i | ||||
\(465\) | −0.601662 | + | 7.33258i | −0.0279014 | + | 0.340040i | ||||
\(466\) | 1.69276 | − | 1.79422i | 0.0784156 | − | 0.0831157i | ||||
\(467\) | 0.837890 | − | 4.75191i | 0.0387729 | − | 0.219892i | −0.959265 | − | 0.282509i | \(-0.908833\pi\) |
0.998038 | + | 0.0626165i | \(0.0199445\pi\) | |||||||
\(468\) | −9.71133 | − | 1.02897i | −0.448907 | − | 0.0475643i | ||||
\(469\) | 7.35188 | + | 8.73595i | 0.339478 | + | 0.403389i | ||||
\(470\) | 1.56980 | + | 3.12572i | 0.0724093 | + | 0.144179i | ||||
\(471\) | 16.2899 | − | 3.45535i | 0.750598 | − | 0.159214i | ||||
\(472\) | 0.0600054 | − | 0.513379i | 0.00276197 | − | 0.0236302i | ||||
\(473\) | −0.513261 | + | 0.221399i | −0.0235997 | + | 0.0101799i | ||||
\(474\) | −3.93124 | + | 5.02740i | −0.180568 | + | 0.230916i | ||||
\(475\) | −2.91991 | − | 0.170065i | −0.133975 | − | 0.00780313i | ||||
\(476\) | −14.3422 | − | 17.0423i | −0.657374 | − | 0.781132i | ||||
\(477\) | −17.8667 | + | 19.3519i | −0.818062 | + | 0.886062i | ||||
\(478\) | 8.98870 | + | 7.54242i | 0.411134 | + | 0.344982i | ||||
\(479\) | −26.7894 | − | 6.34921i | −1.22404 | − | 0.290103i | −0.432733 | − | 0.901522i | \(-0.642451\pi\) |
−0.791307 | + | 0.611419i | \(0.790599\pi\) | |||||||
\(480\) | 7.85203 | + | 2.05859i | 0.358395 | + | 0.0939615i | ||||
\(481\) | 1.52814 | − | 0.0890043i | 0.0696774 | − | 0.00405825i | ||||
\(482\) | −7.93751 | + | 1.88122i | −0.361544 | + | 0.0856874i | ||||
\(483\) | 21.8650 | + | 27.2672i | 0.994890 | + | 1.24070i | ||||
\(484\) | −15.5466 | + | 1.81714i | −0.706666 | + | 0.0825974i | ||||
\(485\) | −13.8260 | + | 7.98247i | −0.627808 | + | 0.362465i | ||||
\(486\) | −7.21943 | + | 2.61046i | −0.327480 | + | 0.118413i | ||||
\(487\) | 20.3703 | − | 35.2825i | 0.923069 | − | 1.59880i | 0.128430 | − | 0.991719i | \(-0.459006\pi\) |
0.794638 | − | 0.607083i | \(-0.207660\pi\) | |||||||
\(488\) | 15.7035 | + | 21.0934i | 0.710864 | + | 0.954855i | ||||
\(489\) | −1.06934 | + | 0.162534i | −0.0483571 | + | 0.00735005i | ||||
\(490\) | 2.35182 | − | 2.23172i | 0.106244 | − | 0.100819i | ||||
\(491\) | 18.0211 | − | 35.8830i | 0.813281 | − | 1.61938i | 0.0285071 | − | 0.999594i | \(-0.490925\pi\) |
0.784774 | − | 0.619782i | \(-0.212779\pi\) | |||||||
\(492\) | 7.35501 | + | 7.27605i | 0.331589 | + | 0.328030i | ||||
\(493\) | −6.17046 | + | 26.0352i | −0.277903 | + | 1.17257i | ||||
\(494\) | −0.638428 | − | 0.112572i | −0.0287242 | − | 0.00506486i | ||||
\(495\) | 1.21305 | + | 3.89823i | 0.0545225 | + | 0.175212i | ||||
\(496\) | 4.02191 | − | 11.0501i | 0.180589 | − | 0.496164i | ||||
\(497\) | −0.0446716 | + | 0.0225159i | −0.00200380 | + | 0.00100997i | ||||
\(498\) | −0.856931 | − | 2.12355i | −0.0384000 | − | 0.0951587i | ||||
\(499\) | −10.2635 | − | 1.19963i | −0.459457 | − | 0.0537028i | −0.116783 | − | 0.993157i | \(-0.537258\pi\) |
−0.342673 | + | 0.939455i | \(0.611332\pi\) | |||||||
\(500\) | −14.9650 | − | 1.74915i | −0.669253 | − | 0.0782245i | ||||
\(501\) | −6.10646 | + | 5.49363i | −0.272816 | + | 0.245437i | ||||
\(502\) | 1.15315 | − | 1.75327i | 0.0514675 | − | 0.0782525i | ||||
\(503\) | −21.8224 | + | 18.3111i | −0.973011 | + | 0.816453i | −0.983020 | − | 0.183497i | \(-0.941258\pi\) |
0.0100094 | + | 0.999950i | \(0.496814\pi\) | |||||||
\(504\) | 13.4141 | − | 5.98204i | 0.597512 | − | 0.266461i | ||||
\(505\) | 10.6487 | + | 8.93534i | 0.473862 | + | 0.397617i | ||||
\(506\) | −5.20661 | + | 1.55876i | −0.231462 | + | 0.0692952i | ||||
\(507\) | −16.5189 | − | 1.35543i | −0.733632 | − | 0.0601969i | ||||
\(508\) | 20.1916 | + | 10.1406i | 0.895856 | + | 0.449916i | ||||
\(509\) | 42.8728 | − | 10.1611i | 1.90031 | − | 0.450381i | 0.900424 | − | 0.435014i | \(-0.143257\pi\) |
0.999882 | − | 0.0153664i | \(-0.00489146\pi\) | |||||||
\(510\) | 1.84208 | + | 3.37266i | 0.0815687 | + | 0.149344i | ||||
\(511\) | −2.17533 | − | 2.91317i | −0.0962310 | − | 0.128871i | ||||
\(512\) | −19.5809 | − | 11.3051i | −0.865364 | − | 0.499618i | ||||
\(513\) | 3.55112 | − | 1.01341i | 0.156786 | − | 0.0447433i | ||||
\(514\) | − | 8.40080i | − | 0.370544i | ||||||
\(515\) | 6.69275 | − | 4.98257i | 0.294918 | − | 0.219558i | ||||
\(516\) | 0.375900 | + | 1.11423i | 0.0165481 | + | 0.0490511i | ||||
\(517\) | 7.94829 | − | 7.49883i | 0.349565 | − | 0.329798i | ||||
\(518\) | −0.898802 | + | 0.593014i | −0.0394911 | + | 0.0260556i | ||||
\(519\) | −2.76504 | − | 29.7543i | −0.121372 | − | 1.30607i | ||||
\(520\) | −3.13660 | − | 0.743387i | −0.137549 | − | 0.0325997i | ||||
\(521\) | 16.7415 | + | 14.0478i | 0.733457 | + | 0.615443i | 0.931072 | − | 0.364836i | \(-0.118875\pi\) |
−0.197615 | + | 0.980280i | \(0.563320\pi\) | |||||||
\(522\) | −7.19069 | − | 4.04870i | −0.314728 | − | 0.177207i | ||||
\(523\) | −1.45070 | − | 1.72888i | −0.0634348 | − | 0.0755986i | 0.733394 | − | 0.679804i | \(-0.237935\pi\) |
−0.796829 | + | 0.604205i | \(0.793491\pi\) | |||||||
\(524\) | −18.6107 | − | 12.2404i | −0.813012 | − | 0.534726i | ||||
\(525\) | −15.9835 | + | 10.0104i | −0.697577 | + | 0.436889i | ||||
\(526\) | 6.31851 | + | 0.738528i | 0.275500 | + | 0.0322014i | ||||
\(527\) | 19.8659 | − | 8.56931i | 0.865372 | − | 0.373285i | ||||
\(528\) | −0.224985 | − | 6.52147i | −0.00979122 | − | 0.283811i | ||||
\(529\) | −31.4293 | + | 15.7844i | −1.36649 | + | 0.686277i | ||||
\(530\) | −3.11501 | + | 2.61381i | −0.135308 | + | 0.113537i | ||||
\(531\) | −0.295085 | − | 0.784295i | −0.0128056 | − | 0.0340355i | ||||
\(532\) | −3.10369 | + | 1.13473i | −0.134562 | + | 0.0491970i | ||||
\(533\) | −4.57899 | − | 4.32005i | −0.198338 | − | 0.187122i | ||||
\(534\) | 0.434951 | − | 0.946051i | 0.0188222 | − | 0.0409396i | ||||
\(535\) | 13.6488 | − | 0.794953i | 0.590090 | − | 0.0343688i | ||||
\(536\) | 1.84163 | + | 7.77044i | 0.0795462 | + | 0.335632i | ||||
\(537\) | −0.851067 | + | 4.23705i | −0.0367263 | + | 0.182842i | ||||
\(538\) | 2.70964 | + | 1.16883i | 0.116821 | + | 0.0503917i | ||||
\(539\) | −8.78644 | − | 5.03904i | −0.378459 | − | 0.217047i | ||||
\(540\) | 8.38198 | − | 1.87272i | 0.360703 | − | 0.0805889i | ||||
\(541\) | 2.70199 | 0.116167 | 0.0580837 | − | 0.998312i | \(-0.481501\pi\) | ||||
0.0580837 | + | 0.998312i | \(0.481501\pi\) | |||||||
\(542\) | 1.67288 | − | 0.195531i | 0.0718562 | − | 0.00839879i | ||||
\(543\) | −9.31707 | − | 17.0586i | −0.399834 | − | 0.732053i | ||||
\(544\) | −5.50498 | − | 23.2273i | −0.236024 | − | 0.995864i | ||||
\(545\) | 1.13956 | + | 19.5654i | 0.0488132 | + | 0.838091i | ||||
\(546\) | −3.77627 | + | 1.79246i | −0.161610 | + | 0.0767103i | ||||
\(547\) | 38.8916 | + | 9.21749i | 1.66289 | + | 0.394111i | 0.951246 | − | 0.308432i | \(-0.0998043\pi\) |
0.711641 | + | 0.702544i | \(0.247952\pi\) | |||||||
\(548\) | −14.0805 | − | 2.48278i | −0.601491 | − | 0.106059i | ||||
\(549\) | 38.3029 | + | 18.7215i | 1.63473 | + | 0.799015i | ||||
\(550\) | −0.509254 | − | 2.88812i | −0.0217147 | − | 0.123150i | ||||
\(551\) | 3.31656 | + | 2.18134i | 0.141290 | + | 0.0929281i | ||||
\(552\) | 5.07232 | + | 23.9129i | 0.215892 | + | 1.01780i | ||||
\(553\) | 2.26966 | − | 19.6647i | 0.0965156 | − | 0.836227i | ||||
\(554\) | −0.577681 | − | 0.430067i | −0.0245433 | − | 0.0182718i | ||||
\(555\) | −1.24842 | + | 0.503783i | −0.0529925 | + | 0.0213844i | ||||
\(556\) | 19.9826 | − | 30.3821i | 0.847451 | − | 1.28849i | ||||
\(557\) | 5.29406 | + | 6.30921i | 0.224316 | + | 0.267330i | 0.866451 | − | 0.499262i | \(-0.166395\pi\) |
−0.642135 | + | 0.766592i | \(0.721951\pi\) | |||||||
\(558\) | 0.846141 | + | 6.61885i | 0.0358200 | + | 0.280198i | ||||
\(559\) | −0.244724 | − | 0.672374i | −0.0103507 | − | 0.0284384i | ||||
\(560\) | −6.20379 | + | 1.86707i | −0.262158 | + | 0.0788981i | ||||
\(561\) | 8.44336 | − | 8.53499i | 0.356479 | − | 0.360348i | ||||
\(562\) | 0.222940 | + | 3.82773i | 0.00940416 | + | 0.161463i | ||||
\(563\) | −5.56452 | + | 18.5868i | −0.234516 | + | 0.783339i | 0.757007 | + | 0.653407i | \(0.226661\pi\) |
−0.991523 | + | 0.129932i | \(0.958524\pi\) | |||||||
\(564\) | −14.3551 | − | 17.9550i | −0.604460 | − | 0.756043i | ||||
\(565\) | −6.25564 | + | 4.65715i | −0.263177 | + | 0.195928i | ||||
\(566\) | 9.71465 | 0.408337 | ||||||||
\(567\) | 14.8818 | − | 18.5885i | 0.624975 | − | 0.780645i | ||||
\(568\) | −0.0349879 | −0.00146806 | ||||||||
\(569\) | 33.7243 | − | 25.1068i | 1.41380 | − | 1.05253i | 0.424690 | − | 0.905339i | \(-0.360383\pi\) |
0.989108 | − | 0.147195i | \(-0.0470245\pi\) | |||||||
\(570\) | 0.563666 | − | 0.0856746i | 0.0236094 | − | 0.00358851i | ||||
\(571\) | 10.6192 | − | 35.4705i | 0.444398 | − | 1.48439i | −0.383514 | − | 0.923535i | \(-0.625286\pi\) |
0.827912 | − | 0.560858i | \(-0.189528\pi\) | |||||||
\(572\) | 0.273876 | + | 4.70228i | 0.0114514 | + | 0.196612i | ||||
\(573\) | 19.9787 | + | 5.23788i | 0.834622 | + | 0.218816i | ||||
\(574\) | 4.31053 | + | 1.01504i | 0.179918 | + | 0.0423668i | ||||
\(575\) | −10.7355 | − | 29.4955i | −0.447701 | − | 1.23005i | ||||
\(576\) | −8.25042 | − | 0.391234i | −0.343768 | − | 0.0163014i | ||||
\(577\) | 8.24096 | + | 9.82119i | 0.343076 | + | 0.408861i | 0.909801 | − | 0.415045i | \(-0.136234\pi\) |
−0.566725 | + | 0.823907i | \(0.691790\pi\) | |||||||
\(578\) | 1.60941 | − | 2.44699i | 0.0669426 | − | 0.101781i | ||||
\(579\) | 2.02505 | − | 14.3651i | 0.0841584 | − | 0.596994i | ||||
\(580\) | 7.40538 | + | 5.51310i | 0.307492 | + | 0.228919i | ||||
\(581\) | 5.70344 | + | 4.23326i | 0.236619 | + | 0.175625i | ||||
\(582\) | −10.7645 | + | 9.68420i | −0.446203 | + | 0.401423i | ||||
\(583\) | 10.6138 | + | 6.98081i | 0.439579 | + | 0.289116i | ||||
\(584\) | −0.441563 | − | 2.50423i | −0.0182720 | − | 0.103626i | ||||
\(585\) | −5.07183 | + | 1.26001i | −0.209694 | + | 0.0520951i | ||||
\(586\) | 13.3115 | + | 2.34718i | 0.549894 | + | 0.0969611i | ||||
\(587\) | −6.14444 | − | 1.45626i | −0.253608 | − | 0.0601063i | 0.101845 | − | 0.994800i | \(-0.467525\pi\) |
−0.355453 | + | 0.934694i | \(0.615674\pi\) | |||||||
\(588\) | −12.0768 | + | 17.5553i | −0.498039 | + | 0.723970i | ||||
\(589\) | −0.186635 | − | 3.20441i | −0.00769018 | − | 0.132035i | ||||
\(590\) | −0.0298355 | − | 0.125886i | −0.00122831 | − | 0.00518263i | ||||
\(591\) | −5.75489 | + | 9.44378i | −0.236725 | + | 0.388465i | ||||
\(592\) | 2.13718 | − | 0.249800i | 0.0878375 | − | 0.0102667i | ||||
\(593\) | −0.0310954 | −0.00127694 | −0.000638468 | − | 1.00000i | \(-0.500203\pi\) | ||||
−0.000638468 | 1.00000i | \(0.500203\pi\) | ||||||||
\(594\) | 1.80987 | + | 3.23030i | 0.0742597 | + | 0.132541i | ||||
\(595\) | −10.3314 | − | 5.94495i | −0.423547 | − | 0.243719i | ||||
\(596\) | 19.0883 | + | 8.23390i | 0.781888 | + | 0.337274i | ||||
\(597\) | −16.2362 | − | 14.2928i | −0.664505 | − | 0.584964i | ||||
\(598\) | −1.60441 | − | 6.76954i | −0.0656092 | − | 0.276827i | ||||
\(599\) | −40.3665 | + | 2.35108i | −1.64933 | + | 0.0960626i | −0.857434 | − | 0.514593i | \(-0.827943\pi\) |
−0.791896 | + | 0.610656i | \(0.790906\pi\) | |||||||
\(600\) | −13.1338 | + | 1.22052i | −0.536187 | + | 0.0498274i | ||||
\(601\) | 10.8682 | + | 10.2536i | 0.443322 | + | 0.418253i | 0.875262 | − | 0.483650i | \(-0.160689\pi\) |
−0.431939 | + | 0.901903i | \(0.642171\pi\) | |||||||
\(602\) | 0.386049 | + | 0.322984i | 0.0157342 | + | 0.0131638i | ||||
\(603\) | 8.42848 | + | 9.82729i | 0.343234 | + | 0.400198i | ||||
\(604\) | −19.0394 | + | 15.9760i | −0.774704 | + | 0.650054i | ||||
\(605\) | −7.48529 | + | 3.75925i | −0.304320 | + | 0.152835i | ||||
\(606\) | 11.1294 | + | 5.92359i | 0.452099 | + | 0.240630i | ||||
\(607\) | 4.05572 | − | 1.74947i | 0.164617 | − | 0.0710087i | −0.312177 | − | 0.950024i | \(-0.601058\pi\) |
0.476794 | + | 0.879015i | \(0.341799\pi\) | |||||||
\(608\) | −3.51755 | − | 0.411142i | −0.142655 | − | 0.0166740i | ||||
\(609\) | 25.5795 | − | 0.919499i | 1.03654 | − | 0.0372600i | ||||
\(610\) | 5.49927 | + | 3.61693i | 0.222659 | + | 0.146445i | ||||
\(611\) | 8.99116 | + | 10.7152i | 0.363743 | + | 0.433492i | ||||
\(612\) | −16.4425 | − | 19.1713i | −0.664647 | − | 0.774953i | ||||
\(613\) | 24.5386 | + | 20.5903i | 0.991104 | + | 0.831635i | 0.985727 | − | 0.168350i | \(-0.0538440\pi\) |
0.00537688 | + | 0.999986i | \(0.498288\pi\) | |||||||
\(614\) | 3.79407 | + | 0.899211i | 0.153116 | + | 0.0362892i | ||||
\(615\) | 5.03031 | + | 2.31270i | 0.202841 | + | 0.0932572i | ||||
\(616\) | −3.90137 | − | 5.91310i | −0.157191 | − | 0.238246i | ||||
\(617\) | 14.4537 | − | 13.6364i | 0.581884 | − | 0.548979i | −0.338012 | − | 0.941142i | \(-0.609754\pi\) |
0.919896 | + | 0.392163i | \(0.128273\pi\) | |||||||
\(618\) | 5.00026 | − | 5.68018i | 0.201140 | − | 0.228490i | ||||
\(619\) | −6.57713 | + | 4.89649i | −0.264357 | + | 0.196807i | −0.721174 | − | 0.692754i | \(-0.756397\pi\) |
0.456816 | + | 0.889561i | \(0.348990\pi\) | |||||||
\(620\) | − | 7.46520i | − | 0.299809i | ||||||
\(621\) | 25.0804 | + | 30.6850i | 1.00644 | + | 1.23135i | ||||
\(622\) | −7.88788 | − | 4.55407i | −0.316275 | − | 0.182602i | ||||
\(623\) | 0.379581 | + | 3.20730i | 0.0152076 | + | 0.128498i | ||||
\(624\) | 8.35053 | + | 0.197879i | 0.334289 | + | 0.00792152i | ||||
\(625\) | 12.1772 | − | 2.88605i | 0.487089 | − | 0.115442i | ||||
\(626\) | 4.48336 | + | 2.25163i | 0.179191 | + | 0.0899932i | ||||
\(627\) | −0.761458 | − | 1.61021i | −0.0304097 | − | 0.0643055i | ||||
\(628\) | −16.1869 | + | 4.84603i | −0.645926 | + | 0.193378i | ||||
\(629\) | 3.03267 | + | 2.54471i | 0.120920 | + | 0.101464i | ||||
\(630\) | 2.64294 | − | 2.55534i | 0.105297 | − | 0.101807i | ||||
\(631\) | 17.2785 | − | 14.4984i | 0.687848 | − | 0.577173i | −0.230440 | − | 0.973087i | \(-0.574016\pi\) |
0.918288 | + | 0.395914i | \(0.129572\pi\) | |||||||
\(632\) | 7.60788 | − | 11.5672i | 0.302625 | − | 0.460119i | ||||
\(633\) | 5.78582 | + | 27.2766i | 0.229966 | + | 1.08415i | ||||
\(634\) | −8.69237 | − | 1.01599i | −0.345218 | − | 0.0403502i | ||||
\(635\) | 12.0097 | + | 1.40373i | 0.476589 | + | 0.0557053i | ||||
\(636\) | 16.4624 | − | 21.0527i | 0.652778 | − | 0.834793i | ||||
\(637\) | 7.09335 | − | 10.8531i | 0.281049 | − | 0.430017i | ||||
\(638\) | −1.36132 | + | 3.74019i | −0.0538951 | + | 0.148076i | ||||
\(639\) | −0.0504120 | + | 0.0260030i | −0.00199427 | + | 0.00102866i | ||||
\(640\) | −10.4866 | − | 1.84907i | −0.414519 | − | 0.0730909i | ||||
\(641\) | −3.31694 | + | 13.9953i | −0.131011 | + | 0.552780i | 0.867460 | + | 0.497507i | \(0.165751\pi\) |
−0.998471 | + | 0.0552733i | \(0.982397\pi\) | |||||||
\(642\) | 11.9599 | − | 3.27393i | 0.472020 | − | 0.129212i | ||||
\(643\) | −1.18521 | + | 2.35995i | −0.0467401 | + | 0.0930673i | −0.915790 | − | 0.401657i | \(-0.868435\pi\) |
0.869050 | + | 0.494724i | \(0.164731\pi\) | |||||||
\(644\) | −24.3741 | − | 25.7603i | −0.960475 | − | 1.01510i | ||||
\(645\) | 0.392962 | + | 0.491506i | 0.0154729 | + | 0.0193530i | ||||
\(646\) | −1.00120 | − | 1.34484i | −0.0393917 | − | 0.0529122i | ||||
\(647\) | −9.26631 | + | 16.0497i | −0.364296 | + | 0.630979i | −0.988663 | − | 0.150152i | \(-0.952024\pi\) |
0.624367 | + | 0.781131i | \(0.285357\pi\) | |||||||
\(648\) | 15.1461 | − | 6.92488i | 0.594995 | − | 0.272035i | ||||
\(649\) | −0.350025 | + | 0.202087i | −0.0137397 | + | 0.00793262i | ||||
\(650\) | 3.72863 | − | 0.435815i | 0.146249 | − | 0.0170941i | ||||
\(651\) | −12.9478 | − | 16.1469i | −0.507465 | − | 0.632846i | ||||
\(652\) | 1.06791 | − | 0.253099i | 0.0418226 | − | 0.00991213i | ||||
\(653\) | −31.1436 | + | 1.81391i | −1.21874 | + | 0.0709838i | −0.655428 | − | 0.755257i | \(-0.727512\pi\) |
−0.563317 | + | 0.826241i | \(0.690475\pi\) | |||||||
\(654\) | 4.69314 | + | 17.1444i | 0.183516 | + | 0.670399i | ||||
\(655\) | −11.5990 | − | 2.74902i | −0.453212 | − | 0.107413i | ||||
\(656\) | −6.77882 | − | 5.68810i | −0.264668 | − | 0.222083i | ||||
\(657\) | −2.49736 | − | 3.28003i | −0.0974314 | − | 0.127966i | ||||
\(658\) | −9.25123 | − | 3.35203i | −0.360650 | − | 0.130676i | ||||
\(659\) | 37.0365 | + | 2.15713i | 1.44274 | + | 0.0840298i | 0.761562 | − | 0.648092i | \(-0.224433\pi\) |
0.681174 | + | 0.732122i | \(0.261470\pi\) | |||||||
\(660\) | −1.55020 | − | 3.84153i | −0.0603414 | − | 0.149531i | ||||
\(661\) | −6.68156 | + | 2.88214i | −0.259883 | + | 0.112102i | −0.522035 | − | 0.852924i | \(-0.674827\pi\) |
0.262152 | + | 0.965026i | \(0.415568\pi\) | |||||||
\(662\) | 0.344636 | − | 2.94855i | 0.0133947 | − | 0.114599i | ||||
\(663\) | 10.2784 | + | 11.4250i | 0.399181 | + | 0.443711i | ||||
\(664\) | 2.22951 | + | 4.43933i | 0.0865220 | + | 0.172279i | ||||
\(665\) | −1.35305 | + | 1.13868i | −0.0524691 | + | 0.0441562i | ||||
\(666\) | −1.01282 | + | 0.681912i | −0.0392458 | + | 0.0264236i | ||||
\(667\) | −7.39749 | + | 41.9532i | −0.286432 | + | 1.62444i | ||||
\(668\) | 5.71947 | − | 6.06228i | 0.221293 | − | 0.234557i | ||||
\(669\) | −29.8087 | − | 20.6334i | −1.15247 | − | 0.797734i | ||||
\(670\) | 1.09836 | + | 1.66998i | 0.0424335 | + | 0.0645170i | ||||
\(671\) | 5.89759 | − | 19.6993i | 0.227674 | − | 0.760484i | ||||
\(672\) | −20.0253 | + | 10.9750i | −0.772491 | + | 0.423371i | ||||
\(673\) | 29.0008 | + | 38.9548i | 1.11790 | + | 1.50160i | 0.841265 | + | 0.540622i | \(0.181811\pi\) |
0.276633 | + | 0.960976i | \(0.410781\pi\) | |||||||
\(674\) | − | 5.86027i | − | 0.225729i | ||||||
\(675\) | −18.0167 | + | 11.5196i | −0.693463 | + | 0.443391i | ||||
\(676\) | 16.8177 | 0.646834 | ||||||||
\(677\) | −37.1404 | + | 4.34109i | −1.42742 | + | 0.166842i | −0.794448 | − | 0.607332i | \(-0.792240\pi\) |
−0.632973 | + | 0.774174i | \(0.718166\pi\) | |||||||
\(678\) | −4.67368 | + | 5.30919i | −0.179492 | + | 0.203898i | ||||
\(679\) | 12.8187 | − | 43.0438i | 0.491936 | − | 1.65187i | ||||
\(680\) | −4.58112 | − | 6.96525i | −0.175678 | − | 0.267105i | ||||
\(681\) | −23.5517 | − | 10.8280i | −0.902504 | − | 0.414930i | ||||
\(682\) | 3.08321 | − | 0.923054i | 0.118062 | − | 0.0353455i | ||||
\(683\) | 1.66464 | − | 1.98384i | 0.0636955 | − | 0.0759094i | −0.733256 | − | 0.679953i | \(-0.762000\pi\) |
0.796951 | + | 0.604043i | \(0.206445\pi\) | |||||||
\(684\) | −3.50707 | + | 1.31951i | −0.134096 | + | 0.0504526i | ||||
\(685\) | −7.53505 | + | 1.32863i | −0.287899 | + | 0.0507644i | ||||
\(686\) | −0.490827 | + | 9.10751i | −0.0187399 | + | 0.347726i | ||||
\(687\) | −41.8417 | + | 26.1211i | −1.59636 | + | 0.996581i | ||||
\(688\) | −0.398378 | − | 0.923544i | −0.0151880 | − | 0.0352098i | ||||
\(689\) | −9.71075 | + | 13.0438i | −0.369950 | + | 0.496929i | ||||
\(690\) | 3.24015 | + | 5.19018i | 0.123350 | + | 0.197587i | ||||
\(691\) | −46.1011 | − | 2.68509i | −1.75377 | − | 0.102145i | −0.849093 | − | 0.528244i | \(-0.822851\pi\) |
−0.904677 | + | 0.426098i | \(0.859888\pi\) | |||||||
\(692\) | 5.26519 | + | 29.8604i | 0.200152 | + | 1.13512i | ||||
\(693\) | −10.0159 | − | 5.62035i | −0.380471 | − | 0.213500i | ||||
\(694\) | −1.85684 | + | 10.5307i | −0.0704846 | + | 0.399738i | ||||
\(695\) | 4.48779 | − | 18.9355i | 0.170232 | − | 0.718264i | ||||
\(696\) | 16.2653 | + | 7.47805i | 0.616536 | + | 0.283455i | ||||
\(697\) | −0.946660 | − | 16.2535i | −0.0358573 | − | 0.615646i | ||||
\(698\) | −2.15816 | + | 7.20874i | −0.0816874 | + | 0.272855i | ||||
\(699\) | −1.70847 | + | 8.50566i | −0.0646203 | + | 0.321714i | ||||
\(700\) | 15.3331 | − | 11.4496i | 0.579537 | − | 0.432753i | ||||
\(701\) | 3.94587 | − | 2.27815i | 0.149034 | − | 0.0860446i | −0.423629 | − | 0.905836i | \(-0.639244\pi\) |
0.572662 | + | 0.819791i | \(0.305911\pi\) | |||||||
\(702\) | −4.26271 | + | 2.07240i | −0.160885 | + | 0.0782176i | ||||
\(703\) | 0.508652 | − | 0.293671i | 0.0191842 | − | 0.0110760i | ||||
\(704\) | 0.462498 | + | 3.95693i | 0.0174311 | + | 0.149132i | ||||
\(705\) | −10.5050 | − | 6.40157i | −0.395641 | − | 0.241097i | ||||
\(706\) | −2.28499 | − | 0.684081i | −0.0859967 | − | 0.0257457i | ||||
\(707\) | −39.0361 | + | 2.33022i | −1.46810 | + | 0.0876370i | ||||
\(708\) | 0.363492 | + | 0.768654i | 0.0136609 | + | 0.0288878i | ||||
\(709\) | −2.86118 | − | 9.55701i | −0.107454 | − | 0.358921i | 0.887303 | − | 0.461186i | \(-0.152576\pi\) |
−0.994757 | + | 0.102265i | \(0.967391\pi\) | |||||||
\(710\) | −0.00822929 | + | 0.00299522i | −0.000308840 | + | 0.000112408i | ||||
\(711\) | 2.36501 | − | 22.3207i | 0.0886949 | − | 0.837092i | ||||
\(712\) | −0.772574 | + | 2.12263i | −0.0289535 | + | 0.0795490i | ||||
\(713\) | 30.7828 | − | 15.4597i | 1.15282 | − | 0.578970i | ||||
\(714\) | −10.2851 | − | 3.33017i | −0.384909 | − | 0.124629i | ||||
\(715\) | 0.998373 | + | 2.31449i | 0.0373370 | + | 0.0865569i | ||||
\(716\) | 0.509080 | − | 4.35546i | 0.0190252 | − | 0.162771i | ||||
\(717\) | −40.8647 | − | 5.76071i | −1.52612 | − | 0.215138i | ||||
\(718\) | −6.56486 | − | 4.31777i | −0.244998 | − | 0.161138i | ||||
\(719\) | 7.32261 | + | 41.5286i | 0.273087 | + | 1.54875i | 0.744973 | + | 0.667095i | \(0.232463\pi\) |
−0.471885 | + | 0.881660i | \(0.656426\pi\) | |||||||
\(720\) | −7.01434 | + | 2.18272i | −0.261409 | + | 0.0813452i | ||||
\(721\) | −4.04252 | + | 23.1217i | −0.150551 | + | 0.861098i | ||||
\(722\) | 8.72560 | − | 2.61227i | 0.324733 | − | 0.0972187i | ||||
\(723\) | 20.1771 | − | 20.3960i | 0.750394 | − | 0.758537i | ||||
\(724\) | 10.8376 | + | 16.4778i | 0.402777 | + | 0.612393i | ||||
\(725\) | −22.0214 | − | 6.59277i | −0.817854 | − | 0.244849i | ||||
\(726\) | −5.93364 | + | 4.74398i | −0.220218 | + | 0.176065i | ||||
\(727\) | 4.00562 | + | 34.2703i | 0.148560 | + | 1.27101i | 0.837597 | + | 0.546288i | \(0.183960\pi\) |
−0.689037 | + | 0.724726i | \(0.741966\pi\) | |||||||
\(728\) | 7.84672 | − | 4.54544i | 0.290819 | − | 0.168465i | ||||
\(729\) | 16.6766 | − | 21.2342i | 0.617651 | − | 0.786453i | ||||
\(730\) | −0.318237 | − | 0.551203i | −0.0117785 | − | 0.0204010i | ||||
\(731\) | 0.732957 | − | 1.69918i | 0.0271094 | − | 0.0628466i | ||||
\(732\) | −40.2883 | − | 15.7543i | −1.48910 | − | 0.582297i | ||||
\(733\) | 12.5957 | − | 11.8834i | 0.465233 | − | 0.438925i | −0.417586 | − | 0.908637i | \(-0.637124\pi\) |
0.882820 | + | 0.469712i | \(0.155642\pi\) | |||||||
\(734\) | −4.42271 | − | 2.22117i | −0.163245 | − | 0.0819848i | ||||
\(735\) | −2.85988 | + | 11.0384i | −0.105488 | + | 0.407157i | ||||
\(736\) | −10.9002 | − | 36.4094i | −0.401789 | − | 1.34207i | ||||
\(737\) | 4.01388 | − | 4.78355i | 0.147853 | − | 0.176205i | ||||
\(738\) | 4.89823 | + | 1.10520i | 0.180306 | + | 0.0406831i | ||||
\(739\) | −5.06861 | + | 4.25307i | −0.186452 | + | 0.156452i | −0.731236 | − | 0.682125i | \(-0.761056\pi\) |
0.544784 | + | 0.838576i | \(0.316612\pi\) | |||||||
\(740\) | 1.22070 | − | 0.613057i | 0.0448737 | − | 0.0225364i | ||||
\(741\) | 2.11436 | − | 0.853220i | 0.0776729 | − | 0.0313438i | ||||
\(742\) | 1.31160 | − | 11.3639i | 0.0481503 | − | 0.417182i | ||||
\(743\) | −26.3263 | + | 11.3561i | −0.965818 | + | 0.416613i | −0.819788 | − | 0.572667i | \(-0.805909\pi\) |
−0.146030 | + | 0.989280i | \(0.546650\pi\) | |||||||
\(744\) | −3.00369 | − | 14.1606i | −0.110121 | − | 0.519151i | ||||
\(745\) | 11.1059 | + | 0.646845i | 0.406889 | + | 0.0236986i | ||||
\(746\) | 0.136063 | − | 0.0239916i | 0.00498163 | − | 0.000878397i | ||||
\(747\) | 6.51168 | + | 4.73940i | 0.238250 | + | 0.173406i | ||||
\(748\) | −7.83036 | + | 9.33186i | −0.286306 | + | 0.341207i | ||||
\(749\) | −26.3533 | + | 28.0139i | −0.962930 | + | 1.02361i | ||||
\(750\) | −6.61077 | + | 3.12619i | −0.241391 | + | 0.114152i | ||||
\(751\) | 32.7863 | − | 21.5639i | 1.19639 | − | 0.786877i | 0.214572 | − | 0.976708i | \(-0.431164\pi\) |
0.981817 | + | 0.189831i | \(0.0607940\pi\) | |||||||
\(752\) | 13.4931 | + | 14.3019i | 0.492044 | + | 0.521536i | ||||
\(753\) | −0.174845 | + | 7.37847i | −0.00637170 | + | 0.268886i | ||||
\(754\) | −4.67826 | − | 2.01801i | −0.170372 | − | 0.0734914i | ||||
\(755\) | −6.65023 | + | 11.5185i | −0.242027 | + | 0.419202i | ||||
\(756\) | −13.5071 | + | 20.0330i | −0.491250 | + | 0.728594i | ||||
\(757\) | 23.8250 | + | 41.2661i | 0.865934 | + | 1.49984i | 0.866117 | + | 0.499842i | \(0.166609\pi\) |
−0.000182344 | 1.00000i | \(0.500058\pi\) | ||||||||
\(758\) | 0.838963 | + | 7.17779i | 0.0304725 | + | 0.260709i | ||||
\(759\) | 12.6303 | − | 14.3477i | 0.458450 | − | 0.520789i | ||||
\(760\) | −1.20351 | + | 0.285237i | −0.0436559 | + | 0.0103466i | ||||
\(761\) | 21.9005 | + | 10.9989i | 0.793894 | + | 0.398708i | 0.799040 | − | 0.601278i | \(-0.205342\pi\) |
−0.00514589 | + | 0.999987i | \(0.501638\pi\) | |||||||
\(762\) | 10.9194 | − | 1.01473i | 0.395568 | − | 0.0367598i | ||||
\(763\) | −40.1577 | − | 37.7772i | −1.45381 | − | 1.36763i | ||||
\(764\) | −20.6386 | − | 3.63915i | −0.746679 | − | 0.131660i | ||||
\(765\) | −11.7772 | − | 6.63115i | −0.425807 | − | 0.239750i | ||||
\(766\) | 5.65134 | − | 15.5269i | 0.204191 | − | 0.561011i | ||||
\(767\) | −0.232195 | − | 0.462338i | −0.00838408 | − | 0.0166941i | ||||
\(768\) | −0.120112 | + | 0.00414375i | −0.00433416 | + | 0.000149525i | ||||
\(769\) | −3.80720 | + | 32.5727i | −0.137291 | + | 1.17460i | 0.732354 | + | 0.680924i | \(0.238422\pi\) |
−0.869645 | + | 0.493677i | \(0.835652\pi\) | |||||||
\(770\) | −1.42382 | − | 1.05680i | −0.0513109 | − | 0.0380844i | ||||
\(771\) | 15.6465 | + | 25.0631i | 0.563493 | + | 0.902624i | ||||
\(772\) | −0.855895 | + | 14.6951i | −0.0308043 | + | 0.528890i | ||||
\(773\) | −27.3989 | − | 9.97239i | −0.985471 | − | 0.358682i | −0.201506 | − | 0.979487i | \(-0.564584\pi\) |
−0.783965 | + | 0.620805i | \(0.786806\pi\) | |||||||
\(774\) | 0.441143 | + | 0.362121i | 0.0158565 | + | 0.0130162i | ||||
\(775\) | 6.35727 | + | 17.4665i | 0.228360 | + | 0.627414i | ||||
\(776\) | 21.5560 | − | 22.8480i | 0.773815 | − | 0.820196i | ||||
\(777\) | 1.57701 | − | 3.44322i | 0.0565748 | − | 0.123525i | ||||
\(778\) | 8.39363 | − | 5.52058i | 0.300926 | − | 0.197922i | ||||
\(779\) | −2.31400 | − | 0.692766i | −0.0829077 | − | 0.0248209i | ||||
\(780\) | 5.02447 | − | 1.69508i | 0.179905 | − | 0.0606934i | ||||
\(781\) | 0.0163377 | + | 0.0219454i | 0.000584609 | + | 0.000785267i | ||||
\(782\) | 8.99637 | − | 15.5822i | 0.321709 | − | 0.557217i | ||||
\(783\) | 28.9935 | − | 1.31368i | 1.03614 | − | 0.0469472i | ||||
\(784\) | 9.06708 | − | 15.8100i | 0.323824 | − | 0.564644i | ||||
\(785\) | −7.25286 | + | 5.39956i | −0.258866 | + | 0.192718i | ||||
\(786\) | −10.8083 | − | 0.256119i | −0.385518 | − | 0.00913547i | ||||
\(787\) | −2.71903 | + | 2.56528i | −0.0969231 | + | 0.0914422i | −0.733178 | − | 0.680036i | \(-0.761964\pi\) |
0.636255 | + | 0.771479i | \(0.280483\pi\) | |||||||
\(788\) | 5.03616 | − | 10.0278i | 0.179406 | − | 0.357226i | ||||
\(789\) | −20.2262 | + | 9.56487i | −0.720073 | + | 0.340518i | ||||
\(790\) | 0.799166 | − | 3.37195i | 0.0284331 | − | 0.119968i | ||||
\(791\) | 3.77850 | − | 21.6116i | 0.134348 | − | 0.768420i | ||||
\(792\) | −4.48621 | − | 6.66318i | −0.159411 | − | 0.236766i | ||||
\(793\) | 24.7348 | + | 9.00273i | 0.878358 | + | 0.319696i | ||||
\(794\) | 0.426680 | − | 7.32581i | 0.0151423 | − | 0.259983i | ||||
\(795\) | 4.42516 | − | 13.5998i | 0.156944 | − | 0.482334i | ||||
\(796\) | 17.6053 | + | 13.1067i | 0.624005 | + | 0.464554i | ||||
\(797\) | 18.7689 | − | 25.2110i | 0.664829 | − | 0.893021i | −0.333941 | − | 0.942594i | \(-0.608379\pi\) |
0.998770 | + | 0.0495731i | \(0.0157861\pi\) | |||||||
\(798\) | −0.986162 | + | 1.26490i | −0.0349098 | + | 0.0447769i | ||||
\(799\) | −2.10344 | + | 36.1146i | −0.0744143 | + | 1.27764i | ||||
\(800\) | 20.1964 | − | 3.56117i | 0.714050 | − | 0.125906i | ||||
\(801\) | 0.464379 | + | 3.63255i | 0.0164080 | + | 0.128350i | ||||
\(802\) | −2.32534 | + | 13.1876i | −0.0821105 | + | 0.465672i | ||||
\(803\) | −1.36453 | + | 1.44632i | −0.0481533 | + | 0.0510395i | ||||
\(804\) | −9.33899 | − | 9.23873i | −0.329361 | − | 0.325825i | ||||
\(805\) | −16.9718 | − | 8.49285i | −0.598177 | − | 0.299334i | ||||
\(806\) | 0.950088 | + | 4.00874i | 0.0334654 | + | 0.141202i | ||||
\(807\) | −10.2609 | + | 1.55961i | −0.361201 | + | 0.0549009i | ||||
\(808\) | −25.1138 | − | 10.8330i | −0.883500 | − | 0.381105i | ||||
\(809\) | 8.96213 | + | 5.17429i | 0.315092 | + | 0.181918i | 0.649203 | − | 0.760615i | \(-0.275103\pi\) |
−0.334111 | + | 0.942534i | \(0.608436\pi\) | |||||||
\(810\) | 2.96960 | − | 2.92537i | 0.104341 | − | 0.102787i | ||||
\(811\) | 9.65110i | 0.338896i | 0.985539 | + | 0.169448i | \(0.0541985\pi\) | ||||
−0.985539 | + | 0.169448i | \(0.945802\pi\) | |||||||
\(812\) | −25.7917 | + | 3.05242i | −0.905112 | + | 0.107119i | ||||
\(813\) | −4.62670 | + | 3.69908i | −0.162266 | + | 0.129732i | ||||
\(814\) | 0.404136 | + | 0.428359i | 0.0141650 | + | 0.0150140i | ||||
\(815\) | 0.490691 | − | 0.322732i | 0.0171882 | − | 0.0113048i | ||||
\(816\) | 15.3576 | + | 15.1927i | 0.537623 | + | 0.531851i | ||||
\(817\) | −0.199698 | − | 0.188405i | −0.00698654 | − | 0.00659146i | ||||
\(818\) | 0.960077 | − | 0.349440i | 0.0335683 | − | 0.0122179i | ||||
\(819\) | 7.92772 | − | 12.3809i | 0.277017 | − | 0.432625i | ||||
\(820\) | −5.27894 | − | 1.92138i | −0.184349 | − | 0.0670974i | ||||
\(821\) | −22.8035 | − | 45.4056i | −0.795849 | − | 1.58467i | −0.811190 | − | 0.584783i | \(-0.801180\pi\) |
0.0153410 | − | 0.999882i | \(-0.495117\pi\) | |||||||
\(822\) | −6.43521 | + | 2.59684i | −0.224454 | + | 0.0905753i | ||||
\(823\) | 14.9105 | + | 34.5664i | 0.519747 | + | 1.20491i | 0.952816 | + | 0.303548i | \(0.0981711\pi\) |
−0.433070 | + | 0.901360i | \(0.642570\pi\) | |||||||
\(824\) | −9.80340 | + | 13.1683i | −0.341518 | + | 0.458738i | ||||
\(825\) | 6.89843 | + | 7.66798i | 0.240173 | + | 0.266965i | ||||
\(826\) | 0.304362 | + | 0.199552i | 0.0105901 | + | 0.00694332i | ||||
\(827\) | −8.55834 | − | 10.1994i | −0.297603 | − | 0.354669i | 0.596435 | − | 0.802662i | \(-0.296584\pi\) |
−0.894037 | + | 0.447993i | \(0.852139\pi\) | |||||||
\(828\) | −27.9095 | − | 28.9499i | −0.969922 | − | 1.00608i | ||||
\(829\) | −15.6527 | − | 43.0053i | −0.543639 | − | 1.49364i | −0.842157 | − | 0.539232i | \(-0.818714\pi\) |
0.298518 | − | 0.954404i | \(-0.403508\pi\) | |||||||
\(830\) | 0.904429 | + | 0.853285i | 0.0313932 | + | 0.0296180i | ||||
\(831\) | 2.52446 | + | 0.207140i | 0.0875725 | + | 0.00718560i | ||||
\(832\) | −5.09098 | + | 0.296516i | −0.176498 | + | 0.0102798i | ||||
\(833\) | 32.6059 | − | 7.82738i | 1.12973 | − | 0.271203i | ||||
\(834\) | 0.418116 | − | 17.6445i | 0.0144782 | − | 0.610981i | ||||
\(835\) | 1.76656 | − | 4.09534i | 0.0611342 | − | 0.141725i | ||||
\(836\) | 0.903658 | + | 1.56518i | 0.0312537 | + | 0.0541330i | ||||
\(837\) | −14.8520 | − | 18.1708i | −0.513359 | − | 0.628075i | ||||
\(838\) | −2.77435 | − | 1.60177i | −0.0958383 | − | 0.0553323i | ||||
\(839\) | 21.0319 | − | 48.7574i | 0.726102 | − | 1.68329i | −0.00403445 | − | 0.999992i | \(-0.501284\pi\) |
0.730136 | − | 0.683301i | \(-0.239457\pi\) | |||||||
\(840\) | −5.26100 | + | 5.99382i | −0.181522 | + | 0.206806i | ||||
\(841\) | 1.50838 | + | 1.59879i | 0.0520133 | + | 0.0551308i | ||||
\(842\) | 6.74705 | − | 13.4345i | 0.232519 | − | 0.462983i | ||||
\(843\) | −7.79426 | − | 11.0045i | −0.268448 | − | 0.379014i | ||||
\(844\) | −8.11445 | − | 27.1041i | −0.279311 | − | 0.932963i | ||||
\(845\) | 8.45704 | − | 3.07811i | 0.290931 | − | 0.105890i | ||||
\(846\) | −10.5250 | − | 3.70263i | −0.361856 | − | 0.127299i | ||||
\(847\) | 8.02725 | − | 22.1543i | 0.275820 | − | 0.761231i | ||||
\(848\) | −12.5610 | + | 19.0981i | −0.431348 | + | 0.655833i | ||||
\(849\) | −28.9828 | + | 18.0935i | −0.994687 | + | 0.620967i | ||||
\(850\) | 7.78768 | + | 5.79771i | 0.267115 | + | 0.198860i | ||||
\(851\) | 5.05589 | + | 3.76397i | 0.173314 | + | 0.129027i | ||||
\(852\) | 0.0488229 | − | 0.0304793i | 0.00167264 | − | 0.00104420i | ||||
\(853\) | 18.6694 | − | 28.3854i | 0.639227 | − | 0.971897i | −0.360014 | − | 0.932947i | \(-0.617228\pi\) |
0.999241 | − | 0.0389504i | \(-0.0124014\pi\) | |||||||
\(854\) | −18.2306 | + | 3.24172i | −0.623837 | + | 0.110929i | ||||
\(855\) | −1.52208 | + | 1.30543i | −0.0520540 | + | 0.0446447i | ||||
\(856\) | −25.2778 | + | 9.20038i | −0.863978 | + | 0.314462i | ||||
\(857\) | 3.64071 | + | 12.1608i | 0.124364 | + | 0.415406i | 0.997384 | − | 0.0722784i | \(-0.0230270\pi\) |
−0.873020 | + | 0.487684i | \(0.837842\pi\) | |||||||
\(858\) | 1.32135 | + | 1.86557i | 0.0451102 | + | 0.0636897i | ||||
\(859\) | −9.23451 | + | 18.3874i | −0.315078 | + | 0.627371i | −0.994307 | − | 0.106555i | \(-0.966018\pi\) |
0.679229 | + | 0.733926i | \(0.262314\pi\) | |||||||
\(860\) | −0.438178 | − | 0.464442i | −0.0149417 | − | 0.0158373i | ||||
\(861\) | −14.7506 | + | 5.00008i | −0.502699 | + | 0.170402i | ||||
\(862\) | −5.22005 | + | 12.1014i | −0.177795 | + | 0.412176i | ||||
\(863\) | 44.2182 | + | 25.5294i | 1.50521 | + | 0.869031i | 0.999982 | + | 0.00604212i | \(0.00192328\pi\) |
0.505224 | + | 0.862989i | \(0.331410\pi\) | |||||||
\(864\) | −22.5892 | + | 12.6562i | −0.768500 | + | 0.430574i | ||||
\(865\) | 8.11297 | + | 14.0521i | 0.275849 | + | 0.477785i | ||||
\(866\) | 0.677077 | − | 1.56964i | 0.0230080 | − | 0.0533386i | ||||
\(867\) | −0.244025 | + | 10.2979i | −0.00828753 | + | 0.349735i | ||||
\(868\) | 14.4337 | + | 15.2546i | 0.489911 | + | 0.517774i | ||||
\(869\) | −10.8078 | + | 0.629483i | −0.366630 | + | 0.0213538i | ||||
\(870\) | 4.46585 | + | 0.366437i | 0.151406 | + | 0.0124234i | ||||
\(871\) | 5.81415 | + | 5.48537i | 0.197005 | + | 0.185865i | ||||
\(872\) | −13.1886 | − | 36.2355i | −0.446624 | − | 1.22709i | ||||
\(873\) | 14.0782 | − | 48.9408i | 0.476474 | − | 1.65639i | ||||
\(874\) | −1.71587 | − | 2.04489i | −0.0580402 | − | 0.0691696i | ||||
\(875\) | 12.4366 | − | 18.9686i | 0.420434 | − | 0.641256i | ||||
\(876\) | 2.79770 | + | 3.10979i | 0.0945255 | + | 0.105070i | ||||
\(877\) | −6.46984 | + | 8.69051i | −0.218471 | + | 0.293458i | −0.897824 | − | 0.440354i | \(-0.854853\pi\) |
0.679353 | + | 0.733811i | \(0.262260\pi\) | |||||||
\(878\) | 5.80533 | + | 13.4583i | 0.195920 | + | 0.454194i | ||||
\(879\) | −44.0853 | + | 17.7900i | −1.48696 | + | 0.600043i | ||||
\(880\) | 1.59019 | + | 3.16633i | 0.0536054 | + | 0.106737i | ||||
\(881\) | 36.3261 | + | 13.2216i | 1.22386 | + | 0.445447i | 0.871489 | − | 0.490414i | \(-0.163155\pi\) |
0.352367 | + | 0.935862i | \(0.385377\pi\) | |||||||
\(882\) | −0.459991 | + | 10.3317i | −0.0154887 | + | 0.347886i | ||||
\(883\) | 1.56925 | − | 0.571160i | 0.0528094 | − | 0.0192211i | −0.315480 | − | 0.948932i | \(-0.602166\pi\) |
0.368290 | + | 0.929711i | \(0.379943\pi\) | |||||||
\(884\) | −11.3424 | − | 10.7010i | −0.381485 | − | 0.359913i | ||||
\(885\) | 0.323473 | + | 0.320000i | 0.0108734 | + | 0.0107567i | ||||
\(886\) | −0.981923 | + | 0.645821i | −0.0329884 | + | 0.0216968i | ||||
\(887\) | −23.4933 | − | 24.9014i | −0.788827 | − | 0.836108i | 0.200821 | − | 0.979628i | \(-0.435639\pi\) |
−0.989647 | + | 0.143520i | \(0.954158\pi\) | |||||||
\(888\) | 2.06884 | − | 1.65405i | 0.0694258 | − | 0.0555063i | ||||
\(889\) | −27.2549 | + | 20.3518i | −0.914101 | + | 0.682579i | ||||
\(890\) | 0.565389i | 0.0189519i | ||||||||
\(891\) | −11.4160 | − | 6.26645i | −0.382450 | − | 0.209934i | ||||
\(892\) | 31.8570 | + | 18.3926i | 1.06665 | + | 0.615830i | ||||
\(893\) | 4.92815 | + | 2.12580i | 0.164914 | + | 0.0711370i | ||||
\(894\) | 9.97512 | − | 1.51617i | 0.333618 | − | 0.0507084i | ||||
\(895\) | −0.541173 | − | 2.28339i | −0.0180894 | − | 0.0763252i | ||||
\(896\) | 25.0037 | − | 16.4970i | 0.835315 | − | 0.551127i | ||||
\(897\) | 17.3949 | + | 17.2081i | 0.580797 | + | 0.574562i | ||||
\(898\) | −7.09616 | + | 7.52149i | −0.236802 | + | 0.250995i | ||||
\(899\) | 4.38059 | − | 24.8436i | 0.146101 | − | 0.828579i | ||||
\(900\) | 17.2640 | − | 13.1445i | 0.575467 | − | 0.438151i | ||||
\(901\) | −41.4176 | + | 7.30305i | −1.37982 | + | 0.243300i | ||||
\(902\) | 0.140823 | − | 2.41784i | 0.00468889 | − | 0.0805052i | ||||
\(903\) | −1.75330 | − | 0.244578i | −0.0583461 | − | 0.00813906i | ||||
\(904\) | 9.16312 | − | 12.3082i | 0.304761 | − | 0.409365i | ||||
\(905\) | 8.46578 | + | 6.30254i | 0.281412 | + | 0.209504i | ||||
\(906\) | −3.73250 | + | 11.4710i | −0.124004 | + | 0.381099i | ||||
\(907\) | 2.25359 | − | 38.6926i | 0.0748291 | − | 1.28477i | −0.726760 | − | 0.686891i | \(-0.758975\pi\) |
0.801589 | − | 0.597875i | \(-0.203988\pi\) | |||||||
\(908\) | 24.7158 | + | 8.99582i | 0.820223 | + | 0.298537i | ||||
\(909\) | −44.2361 | + | 3.05585i | −1.46722 | + | 0.101356i | ||||
\(910\) | 1.45646 | − | 1.74084i | 0.0482811 | − | 0.0577084i | ||||
\(911\) | 7.89629 | − | 33.3171i | 0.261616 | − | 1.10384i | −0.670565 | − | 0.741851i | \(-0.733948\pi\) |
0.932181 | − | 0.361993i | \(-0.117904\pi\) | |||||||
\(912\) | 2.89735 | − | 1.37014i | 0.0959410 | − | 0.0453700i | ||||
\(913\) | 1.74339 | − | 3.47137i | 0.0576978 | − | 0.114886i | ||||
\(914\) | 8.08827 | − | 7.63089i | 0.267536 | − | 0.252407i | ||||
\(915\) | −23.1431 | − | 0.548414i | −0.765088 | − | 0.0181300i | ||||
\(916\) | 40.1460 | − | 29.8876i | 1.32646 | − | 0.987515i | ||||
\(917\) | 29.0169 | − | 16.8089i | 0.958223 | − | 0.555079i | ||||
\(918\) | −11.6970 | − | 3.66689i | −0.386057 | − | 0.121025i | ||||
\(919\) | 25.9601 | − | 44.9642i | 0.856345 | − | 1.48323i | −0.0190475 | − | 0.999819i | \(-0.506063\pi\) |
0.875392 | − | 0.483414i | \(-0.160603\pi\) | |||||||
\(920\) | −7.92633 | − | 10.6469i | −0.261323 | − | 0.351018i | ||||
\(921\) | −12.9940 | + | 4.38372i | −0.428168 | + | 0.144449i | ||||
\(922\) | 0.522998 | + | 0.156575i | 0.0172240 | + | 0.00515653i | ||||
\(923\) | −0.0292600 | + | 0.0192446i | −0.000963103 | + | 0.000633443i | ||||
\(924\) | 10.5952 | + | 4.85264i | 0.348556 | + | 0.159640i | ||||
\(925\) | −2.33401 | + | 2.47391i | −0.0767419 | + | 0.0813417i | ||||
\(926\) | 0.575417 | + | 1.58095i | 0.0189094 | + | 0.0519531i | ||||
\(927\) | −4.33852 | + | 26.2593i | −0.142496 | + | 0.862467i | ||||
\(928\) | −26.1548 | − | 9.51957i | −0.858574 | − | 0.312495i | ||||
\(929\) | 1.90220 | − | 32.6595i | 0.0624091 | − | 1.07152i | −0.811161 | − | 0.584824i | \(-0.801164\pi\) |
0.873570 | − | 0.486699i | \(-0.161799\pi\) | |||||||
\(930\) | −1.91873 | − | 3.07348i | −0.0629175 | − | 0.100783i | ||||
\(931\) | 0.563258 | − | 4.94289i | 0.0184600 | − | 0.161997i | ||||
\(932\) | 1.02195 | − | 8.74335i | 0.0334751 | − | 0.286398i | ||||
\(933\) | 32.0147 | − | 1.10448i | 1.04811 | − | 0.0361590i | ||||
\(934\) | 1.06648 | + | 2.12353i | 0.0348962 | + | 0.0694840i | ||||
\(935\) | −2.22963 | + | 6.12585i | −0.0729166 | + | 0.200337i | ||||
\(936\) | 8.84878 | − | 5.23699i | 0.289231 | − | 0.171176i | ||||
\(937\) | 42.0105 | + | 7.40759i | 1.37242 | + | 0.241995i | 0.810764 | − | 0.585373i | \(-0.199052\pi\) |
0.561660 | + | 0.827368i | \(0.310163\pi\) | |||||||
\(938\) | −5.47328 | − | 1.28884i | −0.178709 | − | 0.0420820i | ||||
\(939\) | −17.5694 | + | 1.63271i | −0.573354 | + | 0.0532814i | ||||
\(940\) | 11.1546 | + | 5.60207i | 0.363824 | + | 0.182719i | ||||
\(941\) | −56.4951 | + | 13.3896i | −1.84169 | + | 0.436488i | −0.995364 | − | 0.0961786i | \(-0.969338\pi\) |
−0.846325 | + | 0.532667i | \(0.821190\pi\) | |||||||
\(942\) | −5.41873 | + | 6.15555i | −0.176552 | + | 0.200559i | ||||
\(943\) | −3.00936 | − | 25.7467i | −0.0979983 | − | 0.838429i | ||||
\(944\) | −0.363629 | − | 0.629824i | −0.0118351 | − | 0.0204990i | ||||
\(945\) | −3.12567 | + | 12.5461i | −0.101678 | + | 0.408125i | ||||
\(946\) | 0.137640 | − | 0.238400i | 0.00447507 | − | 0.00775105i | ||||
\(947\) | 27.5611 | + | 11.8887i | 0.895616 | + | 0.386331i | 0.793592 | − | 0.608451i | \(-0.208209\pi\) |
0.102024 | + | 0.994782i | \(0.467468\pi\) | |||||||
\(948\) | −0.539541 | + | 22.7687i | −0.0175235 | + | 0.739492i | ||||
\(949\) | −1.74669 | − | 1.85138i | −0.0566999 | − | 0.0600984i | ||||
\(950\) | 1.20345 | − | 0.791520i | 0.0390450 | − | 0.0256803i | ||||
\(951\) | 27.8252 | − | 13.1584i | 0.902293 | − | 0.426689i | ||||
\(952\) | 22.8282 | + | 5.37555i | 0.739868 | + | 0.174223i | ||||
\(953\) | −21.9013 | + | 26.1009i | −0.709452 | + | 0.845492i | −0.993561 | − | 0.113300i | \(-0.963858\pi\) |
0.284109 | + | 0.958792i | \(0.408302\pi\) | |||||||
\(954\) | 1.36670 | − | 12.8988i | 0.0442486 | − | 0.417614i | ||||
\(955\) | −11.0445 | + | 1.94745i | −0.357393 | + | 0.0630179i | ||||
\(956\) | 41.8036 | + | 2.43478i | 1.35202 | + | 0.0787464i | ||||
\(957\) | −2.90472 | − | 13.6940i | −0.0938961 | − | 0.442663i | ||||
\(958\) | 12.4497 | − | 5.37026i | 0.402231 | − | 0.173505i | ||||
\(959\) | 12.8284 | − | 17.2837i | 0.414252 | − | 0.558120i | ||||
\(960\) | 4.15908 | − | 1.67834i | 0.134234 | − | 0.0541682i | ||||
\(961\) | 9.47388 | − | 4.75796i | 0.305609 | − | 0.153483i | ||||
\(962\) | −0.577479 | + | 0.484562i | −0.0186187 | + | 0.0156229i | ||||
\(963\) | −29.5837 | + | 32.0427i | −0.953320 | + | 1.03256i | ||||
\(964\) | −18.7122 | + | 22.3003i | −0.602679 | + | 0.718245i | ||||
\(965\) | 2.25923 | + | 7.54634i | 0.0727271 | + | 0.242925i | ||||
\(966\) | −16.6560 | − | 4.34104i | −0.535899 | − | 0.139671i | ||||
\(967\) | −22.0080 | − | 11.0528i | −0.707730 | − | 0.355436i | 0.0582478 | − | 0.998302i | \(-0.481449\pi\) |
−0.765978 | + | 0.642867i | \(0.777745\pi\) | |||||||
\(968\) | 11.9876 | − | 11.3097i | 0.385295 | − | 0.363507i | ||||
\(969\) | 5.49176 | + | 2.14749i | 0.176421 | + | 0.0689875i | ||||
\(970\) | 3.11410 | − | 7.21929i | 0.0999877 | − | 0.231797i | ||||
\(971\) | 6.02158 | + | 10.4297i | 0.193242 | + | 0.334704i | 0.946323 | − | 0.323223i | \(-0.104767\pi\) |
−0.753081 | + | 0.657928i | \(0.771433\pi\) | |||||||
\(972\) | −15.1027 | + | 22.8575i | −0.484418 | + | 0.733154i | ||||
\(973\) | 27.4406 | + | 47.3703i | 0.879706 | + | 1.51862i | ||||
\(974\) | 2.32925 | + | 19.9280i | 0.0746340 | + | 0.638535i | ||||
\(975\) | −10.3123 | + | 8.24478i | −0.330259 | + | 0.264044i | ||||
\(976\) | 35.4463 | + | 10.6119i | 1.13461 | + | 0.339679i | ||||
\(977\) | −31.5028 | − | 47.8977i | −1.00786 | − | 1.53238i | −0.837084 | − | 0.547075i | \(-0.815741\pi\) |
−0.170781 | − | 0.985309i | \(-0.554629\pi\) | |||||||
\(978\) | 0.374615 | − | 0.378680i | 0.0119789 | − | 0.0121089i | ||||
\(979\) | 1.69213 | − | 0.506590i | 0.0540807 | − | 0.0161907i | ||||
\(980\) | 1.97619 | − | 11.4002i | 0.0631270 | − | 0.364165i | ||||
\(981\) | −45.9329 | − | 42.4078i | −1.46653 | − | 1.35398i | ||||
\(982\) | 3.43385 | + | 19.4744i | 0.109579 | + | 0.621452i | ||||
\(983\) | −31.0864 | − | 20.4459i | −0.991503 | − | 0.652122i | −0.0534348 | − | 0.998571i | \(-0.517017\pi\) |
−0.938069 | + | 0.346449i | \(0.887387\pi\) | |||||||
\(984\) | −10.7866 | − | 1.52059i | −0.343864 | − | 0.0484746i | ||||
\(985\) | 0.697139 | − | 5.96441i | 0.0222127 | − | 0.190042i | ||||
\(986\) | −5.21907 | − | 12.0992i | −0.166209 | − | 0.385316i | ||||
\(987\) | 33.8434 | − | 7.22988i | 1.07725 | − | 0.230130i | ||||
\(988\) | −2.06740 | + | 1.03829i | −0.0657729 | + | 0.0330324i | ||||
\(989\) | 1.00770 | − | 2.76865i | 0.0320431 | − | 0.0880378i | ||||
\(990\) | −1.62559 | − | 1.18315i | −0.0516647 | − | 0.0376031i | ||||
\(991\) | −40.0880 | + | 14.5908i | −1.27344 | + | 0.463493i | −0.888256 | − | 0.459349i | \(-0.848083\pi\) |
−0.385180 | + | 0.922841i | \(0.625861\pi\) | |||||||
\(992\) | 6.45483 | + | 21.5606i | 0.204941 | + | 0.684551i | ||||
\(993\) | 4.46347 | + | 9.43861i | 0.141644 | + | 0.299525i | ||||
\(994\) | 0.0110248 | − | 0.0220315i | 0.000349685 | − | 0.000698798i | ||||
\(995\) | 11.2520 | + | 3.36863i | 0.356713 | + | 0.106793i | ||||
\(996\) | −6.97839 | − | 4.25252i | −0.221119 | − | 0.134746i | ||||
\(997\) | −1.37635 | − | 11.7755i | −0.0435895 | − | 0.372932i | −0.997373 | − | 0.0724375i | \(-0.976922\pi\) |
0.953783 | − | 0.300495i | \(-0.0971518\pi\) | |||||||
\(998\) | 4.40711 | − | 2.54445i | 0.139505 | − | 0.0805431i | ||||
\(999\) | 1.75159 | − | 3.92079i | 0.0554177 | − | 0.124048i |
(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 | 567.2.br.a.101.31 | yes | 1260 | |
7.5 | odd | 6 | 567.2.bl.a.425.40 | ✓ | 1260 | ||
81.77 | odd | 54 | 567.2.bl.a.563.40 | yes | 1260 | ||
567.320 | even | 54 | inner | 567.2.br.a.320.31 | yes | 1260 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
567.2.bl.a.425.40 | ✓ | 1260 | 7.5 | odd | 6 | ||
567.2.bl.a.563.40 | yes | 1260 | 81.77 | odd | 54 | ||
567.2.br.a.101.31 | yes | 1260 | 1.1 | even | 1 | trivial | |
567.2.br.a.320.31 | yes | 1260 | 567.320 | even | 54 | inner |