Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(311,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 1, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.311");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.bg (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: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 311.2 | ||
Character | \(\chi\) | \(=\) | 546.311 |
Dual form | 546.2.bg.a.467.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.500000 | − | 0.866025i | −0.353553 | − | 0.612372i | ||||
\(3\) | −1.63622 | − | 0.568150i | −0.944670 | − | 0.328021i | ||||
\(4\) | −0.500000 | + | 0.866025i | −0.250000 | + | 0.433013i | ||||
\(5\) | −1.08726 | + | 0.627730i | −0.486237 | + | 0.280729i | −0.723012 | − | 0.690835i | \(-0.757243\pi\) |
0.236775 | + | 0.971565i | \(0.423910\pi\) | |||||||
\(6\) | 0.326076 | + | 1.70108i | 0.133120 | + | 0.694463i | ||||
\(7\) | 1.14208 | − | 2.38656i | 0.431667 | − | 0.902033i | ||||
\(8\) | 1.00000 | 0.353553 | ||||||||
\(9\) | 2.35441 | + | 1.85923i | 0.784804 | + | 0.619744i | ||||
\(10\) | 1.08726 | + | 0.627730i | 0.343822 | + | 0.198506i | ||||
\(11\) | 0.900851 | − | 1.56032i | 0.271617 | − | 0.470454i | −0.697659 | − | 0.716430i | \(-0.745775\pi\) |
0.969276 | + | 0.245976i | \(0.0791084\pi\) | |||||||
\(12\) | 1.31014 | − | 1.13293i | 0.378205 | − | 0.327049i | ||||
\(13\) | −0.657649 | − | 3.54507i | −0.182399 | − | 0.983225i | ||||
\(14\) | −2.63786 | + | 0.204205i | −0.704997 | + | 0.0545760i | ||||
\(15\) | 2.13564 | − | 0.409376i | 0.551419 | − | 0.105700i | ||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | −1.12649 | + | 1.95113i | −0.273213 | + | 0.473218i | −0.969683 | − | 0.244368i | \(-0.921420\pi\) |
0.696470 | + | 0.717586i | \(0.254753\pi\) | |||||||
\(18\) | 0.432936 | − | 2.96860i | 0.102044 | − | 0.699705i | ||||
\(19\) | −2.46356 | − | 4.26702i | −0.565180 | − | 0.978921i | −0.997033 | − | 0.0769769i | \(-0.975473\pi\) |
0.431853 | − | 0.901944i | \(-0.357860\pi\) | |||||||
\(20\) | − | 1.25546i | − | 0.280729i | ||||||
\(21\) | −3.22462 | + | 3.25605i | −0.703669 | + | 0.710528i | ||||
\(22\) | −1.80170 | −0.384124 | ||||||||
\(23\) | −7.93452 | + | 4.58100i | −1.65446 | + | 0.955204i | −0.679256 | + | 0.733901i | \(0.737697\pi\) |
−0.975205 | + | 0.221302i | \(0.928969\pi\) | |||||||
\(24\) | −1.63622 | − | 0.568150i | −0.333991 | − | 0.115973i | ||||
\(25\) | −1.71191 | + | 2.96512i | −0.342382 | + | 0.593023i | ||||
\(26\) | −2.74129 | + | 2.34207i | −0.537612 | + | 0.459319i | ||||
\(27\) | −2.79601 | − | 4.37977i | −0.538092 | − | 0.842886i | ||||
\(28\) | 1.49578 | + | 2.18235i | 0.282675 | + | 0.412425i | ||||
\(29\) | 6.62631i | 1.23047i | 0.788342 | + | 0.615237i | \(0.210940\pi\) | ||||
−0.788342 | + | 0.615237i | \(0.789060\pi\) | |||||||
\(30\) | −1.42235 | − | 1.64483i | −0.259684 | − | 0.300303i | ||||
\(31\) | 2.39209 | − | 4.14321i | 0.429631 | − | 0.744143i | −0.567209 | − | 0.823574i | \(-0.691977\pi\) |
0.996840 | + | 0.0794307i | \(0.0253103\pi\) | |||||||
\(32\) | −0.500000 | + | 0.866025i | −0.0883883 | + | 0.153093i | ||||
\(33\) | −2.36048 | + | 2.04120i | −0.410907 | + | 0.355328i | ||||
\(34\) | 2.25297 | 0.386381 | ||||||||
\(35\) | 0.256371 | + | 3.31172i | 0.0433346 | + | 0.559784i | ||||
\(36\) | −2.78735 | + | 1.10936i | −0.464558 | + | 0.184894i | ||||
\(37\) | −4.77663 | + | 2.75779i | −0.785274 | + | 0.453378i | −0.838296 | − | 0.545215i | \(-0.816448\pi\) |
0.0530223 | + | 0.998593i | \(0.483115\pi\) | |||||||
\(38\) | −2.46356 | + | 4.26702i | −0.399643 | + | 0.692202i | ||||
\(39\) | −0.938072 | + | 6.17414i | −0.150212 | + | 0.988654i | ||||
\(40\) | −1.08726 | + | 0.627730i | −0.171911 | + | 0.0992528i | ||||
\(41\) | − | 9.52690i | − | 1.48785i | −0.668262 | − | 0.743926i | \(-0.732962\pi\) | ||
0.668262 | − | 0.743926i | \(-0.267038\pi\) | |||||||
\(42\) | 4.43213 | + | 1.16458i | 0.683892 | + | 0.179698i | ||||
\(43\) | 3.14581 | 0.479731 | 0.239866 | − | 0.970806i | \(-0.422897\pi\) | ||||
0.239866 | + | 0.970806i | \(0.422897\pi\) | |||||||
\(44\) | 0.900851 | + | 1.56032i | 0.135808 | + | 0.235227i | ||||
\(45\) | −3.72695 | − | 0.543534i | −0.555581 | − | 0.0810252i | ||||
\(46\) | 7.93452 | + | 4.58100i | 1.16988 | + | 0.675431i | ||||
\(47\) | −8.20429 | + | 4.73675i | −1.19672 | + | 0.690926i | −0.959822 | − | 0.280609i | \(-0.909463\pi\) |
−0.236896 | + | 0.971535i | \(0.576130\pi\) | |||||||
\(48\) | 0.326076 | + | 1.70108i | 0.0470651 | + | 0.245530i | ||||
\(49\) | −4.39129 | − | 5.45129i | −0.627328 | − | 0.778756i | ||||
\(50\) | 3.42382 | 0.484202 | ||||||||
\(51\) | 2.95171 | − | 2.55246i | 0.413322 | − | 0.357416i | ||||
\(52\) | 3.39894 | + | 1.20299i | 0.471349 | + | 0.166825i | ||||
\(53\) | −11.2966 | − | 6.52211i | −1.55171 | − | 0.895881i | −0.998003 | − | 0.0631707i | \(-0.979879\pi\) |
−0.553709 | − | 0.832710i | \(-0.686788\pi\) | |||||||
\(54\) | −2.39498 | + | 4.61130i | −0.325916 | + | 0.627518i | ||||
\(55\) | 2.26196i | 0.305003i | ||||||||
\(56\) | 1.14208 | − | 2.38656i | 0.152617 | − | 0.318917i | ||||
\(57\) | 1.60662 | + | 8.38144i | 0.212802 | + | 1.11015i | ||||
\(58\) | 5.73855 | − | 3.31315i | 0.753509 | − | 0.435039i | ||||
\(59\) | 4.80116 | + | 2.77195i | 0.625058 | + | 0.360877i | 0.778836 | − | 0.627228i | \(-0.215811\pi\) |
−0.153778 | + | 0.988105i | \(0.549144\pi\) | |||||||
\(60\) | −0.713289 | + | 2.05420i | −0.0920852 | + | 0.265197i | ||||
\(61\) | 2.64951 | − | 1.52970i | 0.339236 | − | 0.195858i | −0.320698 | − | 0.947181i | \(-0.603918\pi\) |
0.659934 | + | 0.751324i | \(0.270584\pi\) | |||||||
\(62\) | −4.78417 | −0.607590 | ||||||||
\(63\) | 7.12609 | − | 3.49554i | 0.897804 | − | 0.440396i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 2.94038 | + | 3.44158i | 0.364709 | + | 0.426876i | ||||
\(66\) | 2.94797 | + | 1.02364i | 0.362871 | + | 0.126001i | ||||
\(67\) | −11.4400 | − | 6.60487i | −1.39761 | − | 0.806913i | −0.403472 | − | 0.914992i | \(-0.632197\pi\) |
−0.994142 | + | 0.108079i | \(0.965530\pi\) | |||||||
\(68\) | −1.12649 | − | 1.95113i | −0.136606 | − | 0.236609i | ||||
\(69\) | 15.5853 | − | 2.98751i | 1.87625 | − | 0.359654i | ||||
\(70\) | 2.73985 | − | 1.87789i | 0.327475 | − | 0.224450i | ||||
\(71\) | 9.21344 | 1.09343 | 0.546717 | − | 0.837318i | \(-0.315877\pi\) | ||||
0.546717 | + | 0.837318i | \(0.315877\pi\) | |||||||
\(72\) | 2.35441 | + | 1.85923i | 0.277470 | + | 0.219113i | ||||
\(73\) | −7.95079 | + | 13.7712i | −0.930570 | + | 1.61179i | −0.148220 | + | 0.988954i | \(0.547354\pi\) |
−0.782350 | + | 0.622839i | \(0.785979\pi\) | |||||||
\(74\) | 4.77663 | + | 2.75779i | 0.555272 | + | 0.320587i | ||||
\(75\) | 4.48569 | − | 3.87895i | 0.517963 | − | 0.447903i | ||||
\(76\) | 4.92713 | 0.565180 | ||||||||
\(77\) | −2.69494 | − | 3.93194i | −0.307117 | − | 0.448087i | ||||
\(78\) | 5.81600 | − | 2.27468i | 0.658532 | − | 0.257556i | ||||
\(79\) | −0.323763 | − | 0.560775i | −0.0364262 | − | 0.0630921i | 0.847238 | − | 0.531214i | \(-0.178264\pi\) |
−0.883664 | + | 0.468122i | \(0.844931\pi\) | |||||||
\(80\) | 1.08726 | + | 0.627730i | 0.121559 | + | 0.0701823i | ||||
\(81\) | 2.08651 | + | 8.75480i | 0.231835 | + | 0.972755i | ||||
\(82\) | −8.25053 | + | 4.76345i | −0.911119 | + | 0.526035i | ||||
\(83\) | − | 11.3503i | − | 1.24585i | −0.782280 | − | 0.622926i | \(-0.785944\pi\) | ||
0.782280 | − | 0.622926i | \(-0.214056\pi\) | |||||||
\(84\) | −1.20751 | − | 4.42062i | −0.131750 | − | 0.482330i | ||||
\(85\) | − | 2.82851i | − | 0.306795i | ||||||
\(86\) | −1.57290 | − | 2.72435i | −0.169611 | − | 0.293774i | ||||
\(87\) | 3.76474 | − | 10.8421i | 0.403622 | − | 1.16239i | ||||
\(88\) | 0.900851 | − | 1.56032i | 0.0960310 | − | 0.166331i | ||||
\(89\) | −11.1220 | + | 6.42131i | −1.17893 | + | 0.680657i | −0.955767 | − | 0.294124i | \(-0.904972\pi\) |
−0.223165 | + | 0.974781i | \(0.571639\pi\) | |||||||
\(90\) | 1.39276 | + | 3.49940i | 0.146810 | + | 0.368869i | ||||
\(91\) | −9.21159 | − | 2.47924i | −0.965637 | − | 0.259895i | ||||
\(92\) | − | 9.16199i | − | 0.955204i | ||||||
\(93\) | −6.26793 | + | 5.42013i | −0.649955 | + | 0.562042i | ||||
\(94\) | 8.20429 | + | 4.73675i | 0.846208 | + | 0.488558i | ||||
\(95\) | 5.35707 | + | 3.09290i | 0.549623 | + | 0.317325i | ||||
\(96\) | 1.31014 | − | 1.13293i | 0.133716 | − | 0.115629i | ||||
\(97\) | −1.48848 | −0.151132 | −0.0755661 | − | 0.997141i | \(-0.524076\pi\) | ||||
−0.0755661 | + | 0.997141i | \(0.524076\pi\) | |||||||
\(98\) | −2.52531 | + | 6.52862i | −0.255095 | + | 0.659490i | ||||
\(99\) | 5.02197 | − | 1.99874i | 0.504727 | − | 0.200881i | ||||
\(100\) | −1.71191 | − | 2.96512i | −0.171191 | − | 0.296512i | ||||
\(101\) | 0.424346 | − | 0.734989i | 0.0422240 | − | 0.0731342i | −0.844141 | − | 0.536121i | \(-0.819889\pi\) |
0.886365 | + | 0.462987i | \(0.153222\pi\) | |||||||
\(102\) | −3.68635 | − | 1.28002i | −0.365003 | − | 0.126741i | ||||
\(103\) | 5.30846 | − | 3.06484i | 0.523058 | − | 0.301988i | −0.215127 | − | 0.976586i | \(-0.569017\pi\) |
0.738185 | + | 0.674599i | \(0.235683\pi\) | |||||||
\(104\) | −0.657649 | − | 3.54507i | −0.0644878 | − | 0.347622i | ||||
\(105\) | 1.46208 | − | 5.56436i | 0.142684 | − | 0.543026i | ||||
\(106\) | 13.0442i | 1.26697i | ||||||||
\(107\) | 9.73051 | − | 5.61791i | 0.940684 | − | 0.543104i | 0.0505092 | − | 0.998724i | \(-0.483916\pi\) |
0.890175 | + | 0.455620i | \(0.150582\pi\) | |||||||
\(108\) | 5.19099 | − | 0.231530i | 0.499503 | − | 0.0222790i | ||||
\(109\) | −2.01838 | − | 1.16531i | −0.193326 | − | 0.111617i | 0.400213 | − | 0.916422i | \(-0.368936\pi\) |
−0.593539 | + | 0.804806i | \(0.702270\pi\) | |||||||
\(110\) | 1.95892 | − | 1.13098i | 0.186775 | − | 0.107835i | ||||
\(111\) | 9.38245 | − | 1.79850i | 0.890543 | − | 0.170706i | ||||
\(112\) | −2.63786 | + | 0.204205i | −0.249254 | + | 0.0192955i | ||||
\(113\) | − | 9.43789i | − | 0.887842i | −0.896066 | − | 0.443921i | \(-0.853587\pi\) | ||
0.896066 | − | 0.443921i | \(-0.146413\pi\) | |||||||
\(114\) | 6.45523 | − | 5.58209i | 0.604588 | − | 0.522811i | ||||
\(115\) | 5.75125 | − | 9.96146i | 0.536307 | − | 0.928911i | ||||
\(116\) | −5.73855 | − | 3.31315i | −0.532811 | − | 0.307619i | ||||
\(117\) | 5.04272 | − | 9.56927i | 0.466200 | − | 0.884679i | ||||
\(118\) | − | 5.54390i | − | 0.510357i | ||||||
\(119\) | 3.36994 | + | 4.91677i | 0.308922 | + | 0.450720i | ||||
\(120\) | 2.13564 | − | 0.409376i | 0.194956 | − | 0.0373707i | ||||
\(121\) | 3.87694 | + | 6.71505i | 0.352449 | + | 0.610459i | ||||
\(122\) | −2.64951 | − | 1.52970i | −0.239876 | − | 0.138492i | ||||
\(123\) | −5.41270 | + | 15.5881i | −0.488047 | + | 1.40553i | ||||
\(124\) | 2.39209 | + | 4.14321i | 0.214816 | + | 0.372071i | ||||
\(125\) | − | 10.5758i | − | 0.945925i | ||||||
\(126\) | −6.59027 | − | 4.42361i | −0.587108 | − | 0.394087i | ||||
\(127\) | 9.66003 | 0.857189 | 0.428594 | − | 0.903497i | \(-0.359009\pi\) | ||||
0.428594 | + | 0.903497i | \(0.359009\pi\) | |||||||
\(128\) | −0.500000 | − | 0.866025i | −0.0441942 | − | 0.0765466i | ||||
\(129\) | −5.14723 | − | 1.78729i | −0.453188 | − | 0.157362i | ||||
\(130\) | 1.51031 | − | 4.26723i | 0.132463 | − | 0.374261i | ||||
\(131\) | −9.71936 | − | 16.8344i | −0.849184 | − | 1.47083i | −0.881937 | − | 0.471367i | \(-0.843761\pi\) |
0.0327529 | − | 0.999463i | \(-0.489573\pi\) | |||||||
\(132\) | −0.587492 | − | 3.06484i | −0.0511347 | − | 0.266760i | ||||
\(133\) | −12.9971 | + | 1.00614i | −1.12699 | + | 0.0872437i | ||||
\(134\) | 13.2097i | 1.14115i | ||||||||
\(135\) | 5.78929 | + | 3.00681i | 0.498263 | + | 0.258785i | ||||
\(136\) | −1.12649 | + | 1.95113i | −0.0965953 | + | 0.167308i | ||||
\(137\) | 5.51288 | − | 9.54858i | 0.470997 | − | 0.815790i | −0.528453 | − | 0.848963i | \(-0.677228\pi\) |
0.999450 | + | 0.0331723i | \(0.0105610\pi\) | |||||||
\(138\) | −10.3799 | − | 12.0035i | −0.883596 | − | 1.02181i | ||||
\(139\) | 9.08904i | 0.770922i | 0.922724 | + | 0.385461i | \(0.125958\pi\) | ||||
−0.922724 | + | 0.385461i | \(0.874042\pi\) | |||||||
\(140\) | −2.99622 | − | 1.43384i | −0.253227 | − | 0.121181i | ||||
\(141\) | 16.1152 | − | 3.08908i | 1.35714 | − | 0.260148i | ||||
\(142\) | −4.60672 | − | 7.97907i | −0.386587 | − | 0.669589i | ||||
\(143\) | −6.12388 | − | 2.16743i | −0.512105 | − | 0.181250i | ||||
\(144\) | 0.432936 | − | 2.96860i | 0.0360780 | − | 0.247383i | ||||
\(145\) | −4.15953 | − | 7.20452i | −0.345430 | − | 0.598303i | ||||
\(146\) | 15.9016 | 1.31602 | ||||||||
\(147\) | 4.08796 | + | 11.4144i | 0.337169 | + | 0.941444i | ||||
\(148\) | − | 5.51558i | − | 0.453378i | ||||||
\(149\) | −4.17530 | − | 7.23183i | −0.342054 | − | 0.592455i | 0.642760 | − | 0.766068i | \(-0.277789\pi\) |
−0.984814 | + | 0.173613i | \(0.944456\pi\) | |||||||
\(150\) | −5.60212 | − | 1.94524i | −0.457411 | − | 0.158828i | ||||
\(151\) | 9.67867 | + | 5.58798i | 0.787639 | + | 0.454744i | 0.839131 | − | 0.543930i | \(-0.183064\pi\) |
−0.0514918 | + | 0.998673i | \(0.516398\pi\) | |||||||
\(152\) | −2.46356 | − | 4.26702i | −0.199821 | − | 0.346101i | ||||
\(153\) | −6.27981 | + | 2.49937i | −0.507693 | + | 0.202062i | ||||
\(154\) | −2.05769 | + | 4.29986i | −0.165814 | + | 0.346493i | ||||
\(155\) | 6.00633i | 0.482440i | ||||||||
\(156\) | −4.87793 | − | 3.89946i | −0.390547 | − | 0.312207i | ||||
\(157\) | 6.53612 | + | 3.77363i | 0.521639 | + | 0.301168i | 0.737605 | − | 0.675232i | \(-0.235957\pi\) |
−0.215966 | + | 0.976401i | \(0.569290\pi\) | |||||||
\(158\) | −0.323763 | + | 0.560775i | −0.0257572 | + | 0.0446128i | ||||
\(159\) | 14.7782 | + | 17.0898i | 1.17199 | + | 1.35531i | ||||
\(160\) | − | 1.25546i | − | 0.0992528i | ||||||
\(161\) | 1.87092 | + | 24.1680i | 0.147449 | + | 1.90471i | ||||
\(162\) | 6.53862 | − | 6.18437i | 0.513723 | − | 0.485890i | ||||
\(163\) | 10.1935 | − | 5.88520i | 0.798414 | − | 0.460965i | −0.0445021 | − | 0.999009i | \(-0.514170\pi\) |
0.842916 | + | 0.538045i | \(0.180837\pi\) | |||||||
\(164\) | 8.25053 | + | 4.76345i | 0.644258 | + | 0.371963i | ||||
\(165\) | 1.28513 | − | 3.70106i | 0.100047 | − | 0.288127i | ||||
\(166\) | −9.82961 | + | 5.67513i | −0.762926 | + | 0.440475i | ||||
\(167\) | 8.30092i | 0.642344i | 0.947021 | + | 0.321172i | \(0.104077\pi\) | ||||
−0.947021 | + | 0.321172i | \(0.895923\pi\) | |||||||
\(168\) | −3.22462 | + | 3.25605i | −0.248785 | + | 0.251210i | ||||
\(169\) | −12.1350 | + | 4.66282i | −0.933461 | + | 0.358678i | ||||
\(170\) | −2.44956 | + | 1.41426i | −0.187873 | + | 0.108468i | ||||
\(171\) | 2.13313 | − | 14.6267i | 0.163125 | − | 1.11853i | ||||
\(172\) | −1.57290 | + | 2.72435i | −0.119933 | + | 0.207730i | ||||
\(173\) | 9.17486 | + | 15.8913i | 0.697552 | + | 1.20819i | 0.969313 | + | 0.245830i | \(0.0790605\pi\) |
−0.271761 | + | 0.962365i | \(0.587606\pi\) | |||||||
\(174\) | −11.2719 | + | 2.16068i | −0.854519 | + | 0.163801i | ||||
\(175\) | 5.12127 | + | 7.47198i | 0.387132 | + | 0.564829i | ||||
\(176\) | −1.80170 | −0.135808 | ||||||||
\(177\) | −6.28086 | − | 7.26329i | −0.472098 | − | 0.545942i | ||||
\(178\) | 11.1220 | + | 6.42131i | 0.833631 | + | 0.481297i | ||||
\(179\) | 3.45299 | + | 1.99358i | 0.258088 | + | 0.149007i | 0.623462 | − | 0.781853i | \(-0.285725\pi\) |
−0.365374 | + | 0.930861i | \(0.619059\pi\) | |||||||
\(180\) | 2.33419 | − | 2.95587i | 0.173980 | − | 0.220317i | ||||
\(181\) | − | 13.2147i | − | 0.982244i | −0.871091 | − | 0.491122i | \(-0.836587\pi\) | ||
0.871091 | − | 0.491122i | \(-0.163413\pi\) | |||||||
\(182\) | 2.45871 | + | 9.21709i | 0.182251 | + | 0.683216i | ||||
\(183\) | −5.20428 | + | 0.997597i | −0.384711 | + | 0.0737445i | ||||
\(184\) | −7.93452 | + | 4.58100i | −0.584940 | + | 0.337716i | ||||
\(185\) | 3.46229 | − | 5.99687i | 0.254553 | − | 0.440899i | ||||
\(186\) | 7.82794 | + | 2.71812i | 0.573972 | + | 0.199303i | ||||
\(187\) | 2.02959 | + | 3.51535i | 0.148418 | + | 0.257068i | ||||
\(188\) | − | 9.47349i | − | 0.690926i | ||||||
\(189\) | −13.6458 | + | 1.67077i | −0.992588 | + | 0.121531i | ||||
\(190\) | − | 6.18581i | − | 0.448766i | ||||||
\(191\) | −4.46998 | + | 2.58075i | −0.323437 | + | 0.186736i | −0.652923 | − | 0.757424i | \(-0.726458\pi\) |
0.329487 | + | 0.944160i | \(0.393124\pi\) | |||||||
\(192\) | −1.63622 | − | 0.568150i | −0.118084 | − | 0.0410027i | ||||
\(193\) | 2.77221 | + | 1.60054i | 0.199548 | + | 0.115209i | 0.596445 | − | 0.802654i | \(-0.296579\pi\) |
−0.396896 | + | 0.917863i | \(0.629913\pi\) | |||||||
\(194\) | 0.744240 | + | 1.28906i | 0.0534333 | + | 0.0925492i | ||||
\(195\) | −2.85576 | − | 7.30175i | −0.204505 | − | 0.522889i | ||||
\(196\) | 6.91660 | − | 1.07733i | 0.494043 | − | 0.0769519i | ||||
\(197\) | 3.52408 | 0.251081 | 0.125540 | − | 0.992089i | \(-0.459934\pi\) | ||||
0.125540 | + | 0.992089i | \(0.459934\pi\) | |||||||
\(198\) | −4.24195 | − | 3.34978i | −0.301462 | − | 0.238059i | ||||
\(199\) | −8.99539 | − | 5.19349i | −0.637666 | − | 0.368157i | 0.146049 | − | 0.989277i | \(-0.453344\pi\) |
−0.783715 | + | 0.621121i | \(0.786678\pi\) | |||||||
\(200\) | −1.71191 | + | 2.96512i | −0.121050 | + | 0.209665i | ||||
\(201\) | 14.9657 | + | 17.3066i | 1.05560 | + | 1.22071i | ||||
\(202\) | −0.848692 | −0.0597138 | ||||||||
\(203\) | 15.8141 | + | 7.56780i | 1.10993 | + | 0.531155i | ||||
\(204\) | 0.734641 | + | 3.83248i | 0.0514351 | + | 0.268328i | ||||
\(205\) | 5.98031 | + | 10.3582i | 0.417683 | + | 0.723449i | ||||
\(206\) | −5.30846 | − | 3.06484i | −0.369858 | − | 0.213537i | ||||
\(207\) | −27.1983 | − | 3.96656i | −1.89041 | − | 0.275695i | ||||
\(208\) | −2.74129 | + | 2.34207i | −0.190074 | + | 0.162394i | ||||
\(209\) | −8.87721 | −0.614050 | ||||||||
\(210\) | −5.54991 | + | 1.51598i | −0.382980 | + | 0.104613i | ||||
\(211\) | 7.62625 | 0.525013 | 0.262506 | − | 0.964930i | \(-0.415451\pi\) | ||||
0.262506 | + | 0.964930i | \(0.415451\pi\) | |||||||
\(212\) | 11.2966 | − | 6.52211i | 0.775856 | − | 0.447941i | ||||
\(213\) | −15.0752 | − | 5.23461i | −1.03293 | − | 0.358670i | ||||
\(214\) | −9.73051 | − | 5.61791i | −0.665164 | − | 0.384033i | ||||
\(215\) | −3.42031 | + | 1.97472i | −0.233263 | + | 0.134675i | ||||
\(216\) | −2.79601 | − | 4.37977i | −0.190244 | − | 0.298005i | ||||
\(217\) | −7.15605 | − | 10.4407i | −0.485784 | − | 0.708763i | ||||
\(218\) | 2.33062i | 0.157850i | ||||||||
\(219\) | 20.8333 | − | 18.0154i | 1.40778 | − | 1.21737i | ||||
\(220\) | −1.95892 | − | 1.13098i | −0.132070 | − | 0.0762507i | ||||
\(221\) | 7.65772 | + | 2.71031i | 0.515114 | + | 0.182315i | ||||
\(222\) | −6.24877 | − | 7.22619i | −0.419390 | − | 0.484990i | ||||
\(223\) | −0.159812 | −0.0107018 | −0.00535090 | − | 0.999986i | \(-0.501703\pi\) | ||||
−0.00535090 | + | 0.999986i | \(0.501703\pi\) | |||||||
\(224\) | 1.49578 | + | 2.18235i | 0.0999407 | + | 0.145814i | ||||
\(225\) | −9.54339 | + | 3.79827i | −0.636226 | + | 0.253218i | ||||
\(226\) | −8.17345 | + | 4.71894i | −0.543690 | + | 0.313900i | ||||
\(227\) | −7.71498 | − | 4.45425i | −0.512061 | − | 0.295639i | 0.221619 | − | 0.975133i | \(-0.428866\pi\) |
−0.733681 | + | 0.679495i | \(0.762199\pi\) | |||||||
\(228\) | −8.06185 | − | 2.79935i | −0.533909 | − | 0.185391i | ||||
\(229\) | 2.78489 | + | 4.82358i | 0.184031 | + | 0.318751i | 0.943250 | − | 0.332085i | \(-0.107752\pi\) |
−0.759219 | + | 0.650836i | \(0.774419\pi\) | |||||||
\(230\) | −11.5025 | −0.758453 | ||||||||
\(231\) | 2.17558 | + | 7.96464i | 0.143142 | + | 0.524035i | ||||
\(232\) | 6.62631i | 0.435039i | ||||||||
\(233\) | −4.99084 | + | 2.88146i | −0.326961 | + | 0.188771i | −0.654491 | − | 0.756070i | \(-0.727117\pi\) |
0.327530 | + | 0.944841i | \(0.393784\pi\) | |||||||
\(234\) | −10.8086 | + | 0.417507i | −0.706580 | + | 0.0272933i | ||||
\(235\) | 5.94679 | − | 10.3001i | 0.387926 | − | 0.671907i | ||||
\(236\) | −4.80116 | + | 2.77195i | −0.312529 | + | 0.180439i | ||||
\(237\) | 0.211143 | + | 1.10150i | 0.0137152 | + | 0.0715498i | ||||
\(238\) | 2.57308 | − | 5.37684i | 0.166788 | − | 0.348529i | ||||
\(239\) | −12.0528 | −0.779630 | −0.389815 | − | 0.920893i | \(-0.627461\pi\) | ||||
−0.389815 | + | 0.920893i | \(0.627461\pi\) | |||||||
\(240\) | −1.42235 | − | 1.64483i | −0.0918122 | − | 0.106173i | ||||
\(241\) | 7.40564 | − | 12.8269i | 0.477039 | − | 0.826256i | −0.522615 | − | 0.852569i | \(-0.675043\pi\) |
0.999654 | + | 0.0263129i | \(0.00837662\pi\) | |||||||
\(242\) | 3.87694 | − | 6.71505i | 0.249219 | − | 0.431660i | ||||
\(243\) | 1.56005 | − | 15.5102i | 0.100077 | − | 0.994980i | ||||
\(244\) | 3.05940i | 0.195858i | ||||||||
\(245\) | 8.19641 | + | 3.17042i | 0.523649 | + | 0.202551i | ||||
\(246\) | 16.2060 | − | 3.10650i | 1.03326 | − | 0.198063i | ||||
\(247\) | −13.5067 | + | 11.5397i | −0.859411 | + | 0.734254i | ||||
\(248\) | 2.39209 | − | 4.14321i | 0.151898 | − | 0.263094i | ||||
\(249\) | −6.44865 | + | 18.5715i | −0.408666 | + | 1.17692i | ||||
\(250\) | −9.15888 | + | 5.28788i | −0.579258 | + | 0.334435i | ||||
\(251\) | 9.87047 | 0.623019 | 0.311509 | − | 0.950243i | \(-0.399165\pi\) | ||||
0.311509 | + | 0.950243i | \(0.399165\pi\) | |||||||
\(252\) | −0.535824 | + | 7.91915i | −0.0337537 | + | 0.498859i | ||||
\(253\) | 16.5072i | 1.03780i | ||||||||
\(254\) | −4.83001 | − | 8.36583i | −0.303062 | − | 0.524919i | ||||
\(255\) | −1.60702 | + | 4.62806i | −0.100635 | + | 0.289820i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −4.00565 | − | 6.93799i | −0.249866 | − | 0.432780i | 0.713623 | − | 0.700530i | \(-0.247053\pi\) |
−0.963488 | + | 0.267750i | \(0.913720\pi\) | |||||||
\(258\) | 1.02577 | + | 5.35127i | 0.0638619 | + | 0.333156i | ||||
\(259\) | 1.12631 | + | 14.5493i | 0.0699854 | + | 0.904051i | ||||
\(260\) | −4.45069 | + | 0.825652i | −0.276020 | + | 0.0512047i | ||||
\(261\) | −12.3198 | + | 15.6011i | −0.762579 | + | 0.965682i | ||||
\(262\) | −9.71936 | + | 16.8344i | −0.600464 | + | 1.04003i | ||||
\(263\) | 9.16411 | + | 5.29090i | 0.565083 | + | 0.326251i | 0.755183 | − | 0.655514i | \(-0.227548\pi\) |
−0.190100 | + | 0.981765i | \(0.560881\pi\) | |||||||
\(264\) | −2.36048 | + | 2.04120i | −0.145278 | + | 0.125627i | ||||
\(265\) | 16.3765 | 1.00600 | ||||||||
\(266\) | 7.36988 | + | 10.7527i | 0.451876 | + | 0.659292i | ||||
\(267\) | 21.8463 | − | 4.18767i | 1.33697 | − | 0.256281i | ||||
\(268\) | 11.4400 | − | 6.60487i | 0.698807 | − | 0.403457i | ||||
\(269\) | −5.38350 | + | 9.32450i | −0.328238 | + | 0.568525i | −0.982162 | − | 0.188035i | \(-0.939788\pi\) |
0.653924 | + | 0.756560i | \(0.273121\pi\) | |||||||
\(270\) | −0.290676 | − | 6.51708i | −0.0176900 | − | 0.396617i | ||||
\(271\) | 0.888146 | + | 1.53831i | 0.0539510 | + | 0.0934459i | 0.891740 | − | 0.452549i | \(-0.149485\pi\) |
−0.837789 | + | 0.545995i | \(0.816152\pi\) | |||||||
\(272\) | 2.25297 | 0.136606 | ||||||||
\(273\) | 13.6636 | + | 9.29014i | 0.826957 | + | 0.562265i | ||||
\(274\) | −11.0258 | −0.666090 | ||||||||
\(275\) | 3.08435 | + | 5.34226i | 0.185993 | + | 0.322150i | ||||
\(276\) | −5.20538 | + | 14.9910i | −0.313327 | + | 0.902353i | ||||
\(277\) | 8.32192 | − | 14.4140i | 0.500016 | − | 0.866053i | −0.499984 | − | 0.866034i | \(-0.666661\pi\) |
1.00000 | 1.81111e-5i | \(-5.76495e-6\pi\) | ||||||||
\(278\) | 7.87134 | − | 4.54452i | 0.472091 | − | 0.272562i | ||||
\(279\) | 13.3351 | − | 5.30739i | 0.798354 | − | 0.317745i | ||||
\(280\) | 0.256371 | + | 3.31172i | 0.0153211 | + | 0.197913i | ||||
\(281\) | −17.4383 | −1.04028 | −0.520140 | − | 0.854081i | \(-0.674120\pi\) | ||||
−0.520140 | + | 0.854081i | \(0.674120\pi\) | |||||||
\(282\) | −10.7328 | − | 12.4116i | −0.639130 | − | 0.739101i | ||||
\(283\) | −22.7964 | − | 13.1615i | −1.35510 | − | 0.782369i | −0.366144 | − | 0.930558i | \(-0.619322\pi\) |
−0.988959 | + | 0.148189i | \(0.952656\pi\) | |||||||
\(284\) | −4.60672 | + | 7.97907i | −0.273358 | + | 0.473471i | ||||
\(285\) | −7.00809 | − | 8.10428i | −0.415123 | − | 0.480056i | ||||
\(286\) | 1.18489 | + | 6.38715i | 0.0700639 | + | 0.377680i | ||||
\(287\) | −22.7365 | − | 10.8805i | −1.34209 | − | 0.642256i | ||||
\(288\) | −2.78735 | + | 1.10936i | −0.164246 | + | 0.0653699i | ||||
\(289\) | 5.96206 | + | 10.3266i | 0.350710 | + | 0.607447i | ||||
\(290\) | −4.15953 | + | 7.20452i | −0.244256 | + | 0.423064i | ||||
\(291\) | 2.43548 | + | 0.845679i | 0.142770 | + | 0.0495746i | ||||
\(292\) | −7.95079 | − | 13.7712i | −0.465285 | − | 0.805897i | ||||
\(293\) | − | 6.46090i | − | 0.377450i | −0.982030 | − | 0.188725i | \(-0.939565\pi\) | ||
0.982030 | − | 0.188725i | \(-0.0604355\pi\) | |||||||
\(294\) | 7.84118 | − | 9.24748i | 0.457307 | − | 0.539324i | ||||
\(295\) | −6.96014 | −0.405235 | ||||||||
\(296\) | −4.77663 | + | 2.75779i | −0.277636 | + | 0.160293i | ||||
\(297\) | −9.35262 | + | 0.417148i | −0.542694 | + | 0.0242054i | ||||
\(298\) | −4.17530 | + | 7.23183i | −0.241869 | + | 0.418929i | ||||
\(299\) | 21.4581 | + | 25.1157i | 1.24095 | + | 1.45248i | ||||
\(300\) | 1.11643 | + | 5.82420i | 0.0644570 | + | 0.336260i | ||||
\(301\) | 3.59277 | − | 7.50765i | 0.207084 | − | 0.432734i | ||||
\(302\) | − | 11.1760i | − | 0.643104i | ||||||
\(303\) | −1.11191 | + | 0.961510i | −0.0638773 | + | 0.0552373i | ||||
\(304\) | −2.46356 | + | 4.26702i | −0.141295 | + | 0.244730i | ||||
\(305\) | −1.92047 | + | 3.32636i | −0.109966 | + | 0.190467i | ||||
\(306\) | 5.30442 | + | 4.18880i | 0.303234 | + | 0.239458i | ||||
\(307\) | −3.11265 | −0.177648 | −0.0888242 | − | 0.996047i | \(-0.528311\pi\) | ||||
−0.0888242 | + | 0.996047i | \(0.528311\pi\) | |||||||
\(308\) | 4.75263 | − | 0.367916i | 0.270806 | − | 0.0209640i | ||||
\(309\) | −10.4271 | + | 1.99874i | −0.593176 | + | 0.113705i | ||||
\(310\) | 5.20163 | − | 3.00316i | 0.295433 | − | 0.170568i | ||||
\(311\) | 6.28396 | − | 10.8841i | 0.356330 | − | 0.617182i | −0.631014 | − | 0.775771i | \(-0.717361\pi\) |
0.987345 | + | 0.158589i | \(0.0506944\pi\) | |||||||
\(312\) | −0.938072 | + | 6.17414i | −0.0531078 | + | 0.349542i | ||||
\(313\) | −1.20941 | + | 0.698253i | −0.0683598 | + | 0.0394676i | −0.533790 | − | 0.845617i | \(-0.679233\pi\) |
0.465431 | + | 0.885084i | \(0.345900\pi\) | |||||||
\(314\) | − | 7.54726i | − | 0.425916i | ||||||
\(315\) | −5.55366 | + | 8.27382i | −0.312913 | + | 0.466177i | ||||
\(316\) | 0.647527 | 0.0364262 | ||||||||
\(317\) | −0.992390 | − | 1.71887i | −0.0557382 | − | 0.0965414i | 0.836810 | − | 0.547493i | \(-0.184418\pi\) |
−0.892548 | + | 0.450952i | \(0.851085\pi\) | |||||||
\(318\) | 7.41107 | − | 21.3432i | 0.415592 | − | 1.19687i | ||||
\(319\) | 10.3392 | + | 5.96932i | 0.578882 | + | 0.334218i | ||||
\(320\) | −1.08726 | + | 0.627730i | −0.0607797 | + | 0.0350911i | ||||
\(321\) | −19.1130 | + | 3.66374i | −1.06679 | + | 0.204490i | ||||
\(322\) | 19.9947 | − | 13.7043i | 1.11426 | − | 0.763710i | ||||
\(323\) | 11.1007 | 0.617658 | ||||||||
\(324\) | −8.62513 | − | 2.57043i | −0.479174 | − | 0.142801i | ||||
\(325\) | 11.6374 | + | 4.11883i | 0.645525 | + | 0.228472i | ||||
\(326\) | −10.1935 | − | 5.88520i | −0.564564 | − | 0.325951i | ||||
\(327\) | 2.64044 | + | 3.05345i | 0.146016 | + | 0.168856i | ||||
\(328\) | − | 9.52690i | − | 0.526035i | ||||||
\(329\) | 1.93453 | + | 24.9897i | 0.106654 | + | 1.37773i | ||||
\(330\) | −3.84778 | + | 0.737573i | −0.211813 | + | 0.0406020i | ||||
\(331\) | −1.38896 | + | 0.801918i | −0.0763443 | + | 0.0440774i | −0.537686 | − | 0.843145i | \(-0.680701\pi\) |
0.461342 | + | 0.887222i | \(0.347368\pi\) | |||||||
\(332\) | 9.82961 | + | 5.67513i | 0.539470 | + | 0.311463i | ||||
\(333\) | −16.3735 | − | 2.38790i | −0.897264 | − | 0.130856i | ||||
\(334\) | 7.18880 | − | 4.15046i | 0.393354 | − | 0.227103i | ||||
\(335\) | 16.5843 | 0.906096 | ||||||||
\(336\) | 4.43213 | + | 1.16458i | 0.241792 | + | 0.0635328i | ||||
\(337\) | 19.0094 | 1.03551 | 0.517754 | − | 0.855529i | \(-0.326768\pi\) | ||||
0.517754 | + | 0.855529i | \(0.326768\pi\) | |||||||
\(338\) | 10.1056 | + | 8.17780i | 0.549673 | + | 0.444814i | ||||
\(339\) | −5.36213 | + | 15.4424i | −0.291231 | + | 0.838718i | ||||
\(340\) | 2.44956 | + | 1.41426i | 0.132846 | + | 0.0766988i | ||||
\(341\) | −4.30982 | − | 7.46483i | −0.233390 | − | 0.404243i | ||||
\(342\) | −13.7336 | + | 5.46598i | −0.742629 | + | 0.295566i | ||||
\(343\) | −18.0250 | + | 4.25424i | −0.973260 | + | 0.229707i | ||||
\(344\) | 3.14581 | 0.169611 | ||||||||
\(345\) | −15.0699 | + | 13.0315i | −0.811336 | + | 0.701595i | ||||
\(346\) | 9.17486 | − | 15.8913i | 0.493243 | − | 0.854323i | ||||
\(347\) | −22.0055 | − | 12.7049i | −1.18132 | − | 0.682033i | −0.224997 | − | 0.974359i | \(-0.572237\pi\) |
−0.956319 | + | 0.292326i | \(0.905571\pi\) | |||||||
\(348\) | 7.50715 | + | 8.68140i | 0.402425 | + | 0.465372i | ||||
\(349\) | −16.8298 | −0.900881 | −0.450440 | − | 0.892807i | \(-0.648733\pi\) | ||||
−0.450440 | + | 0.892807i | \(0.648733\pi\) | |||||||
\(350\) | 3.91029 | − | 8.17114i | 0.209014 | − | 0.436766i | ||||
\(351\) | −13.6878 | + | 12.7924i | −0.730599 | + | 0.682807i | ||||
\(352\) | 0.900851 | + | 1.56032i | 0.0480155 | + | 0.0831653i | ||||
\(353\) | 11.7823 | + | 6.80251i | 0.627109 | + | 0.362061i | 0.779631 | − | 0.626239i | \(-0.215406\pi\) |
−0.152523 | + | 0.988300i | \(0.548740\pi\) | |||||||
\(354\) | −3.14977 | + | 9.07102i | −0.167408 | + | 0.482120i | ||||
\(355\) | −10.0174 | + | 5.78355i | −0.531668 | + | 0.306959i | ||||
\(356\) | − | 12.8426i | − | 0.680657i | ||||||
\(357\) | −2.72049 | − | 9.95954i | −0.143984 | − | 0.527115i | ||||
\(358\) | − | 3.98717i | − | 0.210728i | ||||||
\(359\) | −14.3788 | − | 24.9048i | −0.758884 | − | 1.31443i | −0.943420 | − | 0.331600i | \(-0.892412\pi\) |
0.184536 | − | 0.982826i | \(-0.440922\pi\) | |||||||
\(360\) | −3.72695 | − | 0.543534i | −0.196428 | − | 0.0286468i | ||||
\(361\) | −2.63830 | + | 4.56966i | −0.138858 | + | 0.240509i | ||||
\(362\) | −11.4443 | + | 6.60737i | −0.601499 | + | 0.347276i | ||||
\(363\) | −2.52835 | − | 13.1900i | −0.132704 | − | 0.692293i | ||||
\(364\) | 6.75288 | − | 6.73785i | 0.353947 | − | 0.353159i | ||||
\(365\) | − | 19.9638i | − | 1.04495i | ||||||
\(366\) | 3.46608 | + | 4.00824i | 0.181175 | + | 0.209514i | ||||
\(367\) | −17.7774 | − | 10.2638i | −0.927970 | − | 0.535764i | −0.0418014 | − | 0.999126i | \(-0.513310\pi\) |
−0.886169 | + | 0.463362i | \(0.846643\pi\) | |||||||
\(368\) | 7.93452 | + | 4.58100i | 0.413615 | + | 0.238801i | ||||
\(369\) | 17.7127 | − | 22.4302i | 0.922087 | − | 1.16767i | ||||
\(370\) | −6.92459 | −0.359992 | ||||||||
\(371\) | −28.4671 | + | 19.5112i | −1.47794 | + | 1.01297i | ||||
\(372\) | −1.56001 | − | 8.13826i | −0.0808825 | − | 0.421949i | ||||
\(373\) | 6.93995 | + | 12.0203i | 0.359337 | + | 0.622390i | 0.987850 | − | 0.155409i | \(-0.0496695\pi\) |
−0.628513 | + | 0.777799i | \(0.716336\pi\) | |||||||
\(374\) | 2.02959 | − | 3.51535i | 0.104948 | − | 0.181775i | ||||
\(375\) | −6.00862 | + | 17.3042i | −0.310284 | + | 0.893587i | ||||
\(376\) | −8.20429 | + | 4.73675i | −0.423104 | + | 0.244279i | ||||
\(377\) | 23.4907 | − | 4.35779i | 1.20983 | − | 0.224437i | ||||
\(378\) | 8.26984 | + | 10.9822i | 0.425355 | + | 0.564866i | ||||
\(379\) | − | 30.4541i | − | 1.56432i | −0.623075 | − | 0.782162i | \(-0.714117\pi\) | ||
0.623075 | − | 0.782162i | \(-0.285883\pi\) | |||||||
\(380\) | −5.35707 | + | 3.09290i | −0.274812 | + | 0.158663i | ||||
\(381\) | −15.8059 | − | 5.48834i | −0.809761 | − | 0.281176i | ||||
\(382\) | 4.46998 | + | 2.58075i | 0.228704 | + | 0.132042i | ||||
\(383\) | 1.33536 | − | 0.770971i | 0.0682338 | − | 0.0393948i | −0.465495 | − | 0.885051i | \(-0.654124\pi\) |
0.533729 | + | 0.845656i | \(0.320790\pi\) | |||||||
\(384\) | 0.326076 | + | 1.70108i | 0.0166400 | + | 0.0868079i | ||||
\(385\) | 5.39830 | + | 2.58335i | 0.275123 | + | 0.131660i | ||||
\(386\) | − | 3.20108i | − | 0.162931i | ||||||
\(387\) | 7.40653 | + | 5.84879i | 0.376495 | + | 0.297311i | ||||
\(388\) | 0.744240 | − | 1.28906i | 0.0377831 | − | 0.0654422i | ||||
\(389\) | 24.9269 | + | 14.3916i | 1.26385 | + | 0.729682i | 0.973816 | − | 0.227336i | \(-0.0730016\pi\) |
0.290029 | + | 0.957018i | \(0.406335\pi\) | |||||||
\(390\) | −4.89562 | + | 6.12404i | −0.247899 | + | 0.310103i | ||||
\(391\) | − | 20.6417i | − | 1.04390i | ||||||
\(392\) | −4.39129 | − | 5.45129i | −0.221794 | − | 0.275332i | ||||
\(393\) | 6.33851 | + | 33.0668i | 0.319735 | + | 1.66800i | ||||
\(394\) | −1.76204 | − | 3.05195i | −0.0887704 | − | 0.153755i | ||||
\(395\) | 0.704030 | + | 0.406472i | 0.0354236 | + | 0.0204518i | ||||
\(396\) | −0.780022 | + | 5.34853i | −0.0391976 | + | 0.268774i | ||||
\(397\) | −6.83724 | − | 11.8425i | −0.343151 | − | 0.594356i | 0.641865 | − | 0.766818i | \(-0.278161\pi\) |
−0.985016 | + | 0.172462i | \(0.944828\pi\) | |||||||
\(398\) | 10.3870i | 0.520652i | ||||||||
\(399\) | 21.8377 | + | 5.73801i | 1.09325 | + | 0.287260i | ||||
\(400\) | 3.42382 | 0.171191 | ||||||||
\(401\) | −16.5303 | − | 28.6313i | −0.825483 | − | 1.42978i | −0.901550 | − | 0.432676i | \(-0.857569\pi\) |
0.0760665 | − | 0.997103i | \(-0.475764\pi\) | |||||||
\(402\) | 7.50511 | − | 21.6140i | 0.374321 | − | 1.07801i | ||||
\(403\) | −16.2611 | − | 5.75532i | −0.810024 | − | 0.286693i | ||||
\(404\) | 0.424346 | + | 0.734989i | 0.0211120 | + | 0.0365671i | ||||
\(405\) | −7.76422 | − | 8.20897i | −0.385807 | − | 0.407907i | ||||
\(406\) | −1.35312 | − | 17.4793i | −0.0671544 | − | 0.867482i | ||||
\(407\) | 9.93743i | 0.492580i | ||||||||
\(408\) | 2.95171 | − | 2.55246i | 0.146131 | − | 0.126366i | ||||
\(409\) | 0.635322 | − | 1.10041i | 0.0314146 | − | 0.0544117i | −0.849891 | − | 0.526959i | \(-0.823332\pi\) |
0.881305 | + | 0.472547i | \(0.156665\pi\) | |||||||
\(410\) | 5.98031 | − | 10.3582i | 0.295347 | − | 0.511555i | ||||
\(411\) | −14.4453 | + | 12.4914i | −0.712533 | + | 0.616156i | ||||
\(412\) | 6.12968i | 0.301988i | ||||||||
\(413\) | 12.0987 | − | 8.29243i | 0.595340 | − | 0.408044i | ||||
\(414\) | 10.1640 | + | 25.5377i | 0.499533 | + | 1.25511i | ||||
\(415\) | 7.12489 | + | 12.3407i | 0.349747 | + | 0.605780i | ||||
\(416\) | 3.39894 | + | 1.20299i | 0.166647 | + | 0.0589816i | ||||
\(417\) | 5.16393 | − | 14.8716i | 0.252879 | − | 0.728267i | ||||
\(418\) | 4.43861 | + | 7.68789i | 0.217099 | + | 0.376027i | ||||
\(419\) | −12.8180 | −0.626202 | −0.313101 | − | 0.949720i | \(-0.601368\pi\) | ||||
−0.313101 | + | 0.949720i | \(0.601368\pi\) | |||||||
\(420\) | 4.08784 | + | 4.04837i | 0.199466 | + | 0.197540i | ||||
\(421\) | − | 24.3303i | − | 1.18579i | −0.805281 | − | 0.592894i | \(-0.797985\pi\) | ||
0.805281 | − | 0.592894i | \(-0.202015\pi\) | |||||||
\(422\) | −3.81313 | − | 6.60453i | −0.185620 | − | 0.321503i | ||||
\(423\) | −28.1230 | − | 4.10142i | −1.36739 | − | 0.199418i | ||||
\(424\) | −11.2966 | − | 6.52211i | −0.548613 | − | 0.316742i | ||||
\(425\) | −3.85689 | − | 6.68032i | −0.187086 | − | 0.324043i | ||||
\(426\) | 3.00428 | + | 15.6728i | 0.145558 | + | 0.759349i | ||||
\(427\) | −0.624743 | − | 8.07026i | −0.0302334 | − | 0.390547i | ||||
\(428\) | 11.2358i | 0.543104i | ||||||||
\(429\) | 8.78857 | + | 7.02567i | 0.424316 | + | 0.339203i | ||||
\(430\) | 3.42031 | + | 1.97472i | 0.164942 | + | 0.0952293i | ||||
\(431\) | 6.41225 | − | 11.1063i | 0.308867 | − | 0.534974i | −0.669248 | − | 0.743039i | \(-0.733383\pi\) |
0.978115 | + | 0.208066i | \(0.0667168\pi\) | |||||||
\(432\) | −2.39498 | + | 4.61130i | −0.115229 | + | 0.221861i | ||||
\(433\) | 24.6486i | 1.18454i | 0.805741 | + | 0.592268i | \(0.201767\pi\) | ||||
−0.805741 | + | 0.592268i | \(0.798233\pi\) | |||||||
\(434\) | −5.46392 | + | 11.4177i | −0.262277 | + | 0.548066i | ||||
\(435\) | 2.71265 | + | 14.1514i | 0.130062 | + | 0.678507i | ||||
\(436\) | 2.01838 | − | 1.16531i | 0.0966629 | − | 0.0558083i | ||||
\(437\) | 39.0944 | + | 22.5712i | 1.87014 | + | 1.07972i | ||||
\(438\) | −26.0184 | − | 9.03448i | −1.24321 | − | 0.431684i | ||||
\(439\) | 6.57463 | − | 3.79586i | 0.313790 | − | 0.181167i | −0.334831 | − | 0.942278i | \(-0.608679\pi\) |
0.648621 | + | 0.761111i | \(0.275346\pi\) | |||||||
\(440\) | 2.26196i | 0.107835i | ||||||||
\(441\) | −0.203700 | − | 20.9990i | −0.00970002 | − | 0.999953i | ||||
\(442\) | −1.48166 | − | 7.98693i | −0.0704756 | − | 0.379900i | ||||
\(443\) | 20.0410 | − | 11.5707i | 0.952176 | − | 0.549739i | 0.0584201 | − | 0.998292i | \(-0.481394\pi\) |
0.893756 | + | 0.448553i | \(0.148060\pi\) | |||||||
\(444\) | −3.13368 | + | 9.02469i | −0.148718 | + | 0.428293i | ||||
\(445\) | 8.06169 | − | 13.9632i | 0.382161 | − | 0.661922i | ||||
\(446\) | 0.0799060 | + | 0.138401i | 0.00378366 | + | 0.00655349i | ||||
\(447\) | 2.72293 | + | 14.2050i | 0.128790 | + | 0.671875i | ||||
\(448\) | 1.14208 | − | 2.38656i | 0.0539584 | − | 0.112754i | ||||
\(449\) | 20.1099 | 0.949047 | 0.474523 | − | 0.880243i | \(-0.342620\pi\) | ||||
0.474523 | + | 0.880243i | \(0.342620\pi\) | |||||||
\(450\) | 8.06109 | + | 6.36568i | 0.380003 | + | 0.300081i | ||||
\(451\) | −14.8650 | − | 8.58231i | −0.699966 | − | 0.404125i | ||||
\(452\) | 8.17345 | + | 4.71894i | 0.384447 | + | 0.221960i | ||||
\(453\) | −12.6616 | − | 14.6421i | −0.594893 | − | 0.687945i | ||||
\(454\) | 8.90849i | 0.418096i | ||||||||
\(455\) | 11.5717 | − | 3.08680i | 0.542489 | − | 0.144712i | ||||
\(456\) | 1.60662 | + | 8.38144i | 0.0752369 | + | 0.392497i | ||||
\(457\) | 29.4354 | − | 16.9945i | 1.37693 | − | 0.794970i | 0.385141 | − | 0.922858i | \(-0.374153\pi\) |
0.991789 | + | 0.127887i | \(0.0408196\pi\) | |||||||
\(458\) | 2.78489 | − | 4.82358i | 0.130130 | − | 0.225391i | ||||
\(459\) | 11.6952 | − | 0.521630i | 0.545883 | − | 0.0243476i | ||||
\(460\) | 5.75125 | + | 9.96146i | 0.268154 | + | 0.464456i | ||||
\(461\) | 32.1844i | 1.49898i | 0.662016 | + | 0.749489i | \(0.269701\pi\) | ||||
−0.662016 | + | 0.749489i | \(0.730299\pi\) | |||||||
\(462\) | 5.80980 | − | 5.86643i | 0.270296 | − | 0.272931i | ||||
\(463\) | 31.4752i | 1.46278i | 0.681962 | + | 0.731388i | \(0.261127\pi\) | ||||
−0.681962 | + | 0.731388i | \(0.738873\pi\) | |||||||
\(464\) | 5.73855 | − | 3.31315i | 0.266406 | − | 0.153809i | ||||
\(465\) | 3.41249 | − | 9.82766i | 0.158251 | − | 0.455747i | ||||
\(466\) | 4.99084 | + | 2.88146i | 0.231196 | + | 0.133481i | ||||
\(467\) | −4.80726 | − | 8.32642i | −0.222453 | − | 0.385301i | 0.733099 | − | 0.680122i | \(-0.238073\pi\) |
−0.955552 | + | 0.294821i | \(0.904740\pi\) | |||||||
\(468\) | 5.76587 | + | 9.15176i | 0.266527 | + | 0.423040i | ||||
\(469\) | −28.8283 | + | 19.7588i | −1.33117 | + | 0.912377i | ||||
\(470\) | −11.8936 | −0.548610 | ||||||||
\(471\) | −8.55052 | − | 9.88797i | −0.393987 | − | 0.455614i | ||||
\(472\) | 4.80116 | + | 2.77195i | 0.220991 | + | 0.127589i | ||||
\(473\) | 2.83390 | − | 4.90847i | 0.130303 | − | 0.225692i | ||||
\(474\) | 0.848351 | − | 0.733603i | 0.0389661 | − | 0.0336955i | ||||
\(475\) | 16.8696 | 0.774031 | ||||||||
\(476\) | −5.94302 | + | 0.460067i | −0.272398 | + | 0.0210872i | ||||
\(477\) | −14.4708 | − | 36.3588i | −0.662572 | − | 1.66476i | ||||
\(478\) | 6.02639 | + | 10.4380i | 0.275641 | + | 0.477424i | ||||
\(479\) | 23.5767 | + | 13.6120i | 1.07725 | + | 0.621948i | 0.930152 | − | 0.367174i | \(-0.119675\pi\) |
0.147094 | + | 0.989123i | \(0.453008\pi\) | |||||||
\(480\) | −0.713289 | + | 2.05420i | −0.0325570 | + | 0.0937611i | ||||
\(481\) | 12.9179 | + | 15.1198i | 0.589006 | + | 0.689405i | ||||
\(482\) | −14.8113 | −0.674635 | ||||||||
\(483\) | 10.6698 | − | 40.6071i | 0.485494 | − | 1.84769i | ||||
\(484\) | −7.75387 | −0.352449 | ||||||||
\(485\) | 1.61836 | − | 0.934363i | 0.0734861 | − | 0.0424272i | ||||
\(486\) | −14.2123 | + | 6.40406i | −0.644681 | + | 0.290494i | ||||
\(487\) | −9.99814 | − | 5.77243i | −0.453059 | − | 0.261574i | 0.256062 | − | 0.966660i | \(-0.417575\pi\) |
−0.709121 | + | 0.705087i | \(0.750908\pi\) | |||||||
\(488\) | 2.64951 | − | 1.52970i | 0.119938 | − | 0.0692462i | ||||
\(489\) | −20.0224 | + | 3.83805i | −0.905444 | + | 0.173563i | ||||
\(490\) | −1.35254 | − | 8.68351i | −0.0611015 | − | 0.392281i | ||||
\(491\) | − | 8.30353i | − | 0.374733i | −0.982290 | − | 0.187367i | \(-0.940005\pi\) | ||
0.982290 | − | 0.187367i | \(-0.0599952\pi\) | |||||||
\(492\) | −10.7933 | − | 12.4816i | −0.486600 | − | 0.562713i | ||||
\(493\) | −12.9288 | − | 7.46444i | −0.582283 | − | 0.336181i | ||||
\(494\) | 16.7470 | + | 5.92730i | 0.753484 | + | 0.266682i | ||||
\(495\) | −4.20551 | + | 5.32559i | −0.189024 | + | 0.239368i | ||||
\(496\) | −4.78417 | −0.214816 | ||||||||
\(497\) | 10.5225 | − | 21.9884i | 0.471999 | − | 0.986313i | ||||
\(498\) | 19.3077 | − | 3.70105i | 0.865199 | − | 0.165848i | ||||
\(499\) | −8.26470 | + | 4.77163i | −0.369979 | + | 0.213607i | −0.673449 | − | 0.739234i | \(-0.735188\pi\) |
0.303470 | + | 0.952841i | \(0.401855\pi\) | |||||||
\(500\) | 9.15888 | + | 5.28788i | 0.409598 | + | 0.236481i | ||||
\(501\) | 4.71616 | − | 13.5821i | 0.210703 | − | 0.606804i | ||||
\(502\) | −4.93524 | − | 8.54808i | −0.220270 | − | 0.381519i | ||||
\(503\) | −9.19561 | −0.410012 | −0.205006 | − | 0.978761i | \(-0.565721\pi\) | ||||
−0.205006 | + | 0.978761i | \(0.565721\pi\) | |||||||
\(504\) | 7.12609 | − | 3.49554i | 0.317421 | − | 0.155704i | ||||
\(505\) | 1.06550i | 0.0474141i | ||||||||
\(506\) | 14.2956 | − | 8.25359i | 0.635518 | − | 0.366917i | ||||
\(507\) | 22.5047 | − | 0.734893i | 0.999467 | − | 0.0326377i | ||||
\(508\) | −4.83001 | + | 8.36583i | −0.214297 | + | 0.371174i | ||||
\(509\) | −21.0228 | + | 12.1375i | −0.931821 | + | 0.537987i | −0.887387 | − | 0.461025i | \(-0.847482\pi\) |
−0.0444338 | + | 0.999012i | \(0.514148\pi\) | |||||||
\(510\) | 4.81153 | − | 0.922311i | 0.213058 | − | 0.0408406i | ||||
\(511\) | 23.7852 | + | 34.7028i | 1.05220 | + | 1.53516i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | −11.8004 | + | 22.7204i | −0.521000 | + | 1.00313i | ||||
\(514\) | −4.00565 | + | 6.93799i | −0.176682 | + | 0.306022i | ||||
\(515\) | −3.84778 | + | 6.66455i | −0.169553 | + | 0.293675i | ||||
\(516\) | 4.12145 | − | 3.56398i | 0.181437 | − | 0.156896i | ||||
\(517\) | 17.0684i | 0.750668i | ||||||||
\(518\) | 12.0369 | − | 8.25008i | 0.528872 | − | 0.362487i | ||||
\(519\) | −5.98341 | − | 31.2143i | −0.262643 | − | 1.37016i | ||||
\(520\) | 2.94038 | + | 3.44158i | 0.128944 | + | 0.150923i | ||||
\(521\) | 11.6545 | − | 20.1861i | 0.510591 | − | 0.884370i | −0.489333 | − | 0.872097i | \(-0.662760\pi\) |
0.999925 | − | 0.0122733i | \(-0.00390682\pi\) | |||||||
\(522\) | 19.6708 | + | 2.86877i | 0.860969 | + | 0.125563i | ||||
\(523\) | 26.9553 | − | 15.5627i | 1.17867 | − | 0.680508i | 0.222967 | − | 0.974826i | \(-0.428426\pi\) |
0.955707 | + | 0.294318i | \(0.0950926\pi\) | |||||||
\(524\) | 19.4387 | 0.849184 | ||||||||
\(525\) | −4.13431 | − | 15.1354i | −0.180436 | − | 0.660564i | ||||
\(526\) | − | 10.5818i | − | 0.461389i | ||||||
\(527\) | 5.38930 | + | 9.33454i | 0.234761 | + | 0.406619i | ||||
\(528\) | 2.94797 | + | 1.02364i | 0.128294 | + | 0.0445480i | ||||
\(529\) | 30.4710 | − | 52.7774i | 1.32483 | − | 2.29467i | ||||
\(530\) | −8.18825 | − | 14.1825i | −0.355675 | − | 0.616047i | ||||
\(531\) | 6.15021 | + | 15.4528i | 0.266896 | + | 0.670594i | ||||
\(532\) | 5.62719 | − | 11.7589i | 0.243970 | − | 0.509811i | ||||
\(533\) | −33.7735 | + | 6.26536i | −1.46289 | + | 0.271383i | ||||
\(534\) | −14.5498 | − | 16.8256i | −0.629631 | − | 0.728116i | ||||
\(535\) | −7.05306 | + | 12.2163i | −0.304930 | + | 0.528155i | ||||
\(536\) | −11.4400 | − | 6.60487i | −0.494131 | − | 0.285287i | ||||
\(537\) | −4.51718 | − | 5.22375i | −0.194931 | − | 0.225421i | ||||
\(538\) | 10.7670 | 0.464199 | ||||||||
\(539\) | −12.4617 | + | 1.94102i | −0.536761 | + | 0.0836057i | ||||
\(540\) | −5.49862 | + | 3.51027i | −0.236623 | + | 0.151058i | ||||
\(541\) | 2.26719 | − | 1.30896i | 0.0974740 | − | 0.0562766i | −0.450471 | − | 0.892791i | \(-0.648744\pi\) |
0.547945 | + | 0.836515i | \(0.315410\pi\) | |||||||
\(542\) | 0.888146 | − | 1.53831i | 0.0381491 | − | 0.0660762i | ||||
\(543\) | −7.50795 | + | 21.6222i | −0.322197 | + | 0.927897i | ||||
\(544\) | −1.12649 | − | 1.95113i | −0.0482977 | − | 0.0836540i | ||||
\(545\) | 2.92600 | 0.125336 | ||||||||
\(546\) | 1.21371 | − | 16.4781i | 0.0519421 | − | 0.705196i | ||||
\(547\) | 23.2307 | 0.993272 | 0.496636 | − | 0.867959i | \(-0.334568\pi\) | ||||
0.496636 | + | 0.867959i | \(0.334568\pi\) | |||||||
\(548\) | 5.51288 | + | 9.54858i | 0.235498 | + | 0.407895i | ||||
\(549\) | 9.08211 | + | 1.32452i | 0.387615 | + | 0.0565293i | ||||
\(550\) | 3.08435 | − | 5.34226i | 0.131517 | − | 0.227795i | ||||
\(551\) | 28.2746 | − | 16.3243i | 1.20454 | − | 0.695440i | ||||
\(552\) | 15.5853 | − | 2.98751i | 0.663354 | − | 0.127157i | ||||
\(553\) | −1.70808 | + | 0.132228i | −0.0726351 | + | 0.00562291i | ||||
\(554\) | −16.6438 | −0.707129 | ||||||||
\(555\) | −9.07218 | + | 7.84508i | −0.385093 | + | 0.333005i | ||||
\(556\) | −7.87134 | − | 4.54452i | −0.333819 | − | 0.192730i | ||||
\(557\) | 21.0588 | − | 36.4749i | 0.892290 | − | 1.54549i | 0.0551670 | − | 0.998477i | \(-0.482431\pi\) |
0.837123 | − | 0.547015i | \(-0.184236\pi\) | |||||||
\(558\) | −11.2639 | − | 8.89488i | −0.476839 | − | 0.376550i | ||||
\(559\) | −2.06884 | − | 11.1521i | −0.0875026 | − | 0.471684i | ||||
\(560\) | 2.73985 | − | 1.87789i | 0.115780 | − | 0.0793551i | ||||
\(561\) | −1.32360 | − | 6.90499i | −0.0558826 | − | 0.291529i | ||||
\(562\) | 8.71914 | + | 15.1020i | 0.367795 | + | 0.637039i | ||||
\(563\) | 4.75102 | − | 8.22901i | 0.200232 | − | 0.346811i | −0.748371 | − | 0.663280i | \(-0.769164\pi\) |
0.948603 | + | 0.316469i | \(0.102497\pi\) | |||||||
\(564\) | −5.38236 | + | 15.5007i | −0.226638 | + | 0.652697i | ||||
\(565\) | 5.92444 | + | 10.2614i | 0.249243 | + | 0.431702i | ||||
\(566\) | 26.3230i | 1.10644i | ||||||||
\(567\) | 23.2768 | + | 5.01913i | 0.977533 | + | 0.210784i | ||||
\(568\) | 9.21344 | 0.386587 | ||||||||
\(569\) | 23.5732 | − | 13.6100i | 0.988238 | − | 0.570560i | 0.0834912 | − | 0.996509i | \(-0.473393\pi\) |
0.904747 | + | 0.425949i | \(0.140060\pi\) | |||||||
\(570\) | −3.51446 | + | 10.1213i | −0.147205 | + | 0.423936i | ||||
\(571\) | −10.1291 | + | 17.5442i | −0.423891 | + | 0.734200i | −0.996316 | − | 0.0857564i | \(-0.972669\pi\) |
0.572425 | + | 0.819957i | \(0.306003\pi\) | |||||||
\(572\) | 4.93899 | − | 4.21972i | 0.206510 | − | 0.176435i | ||||
\(573\) | 8.78012 | − | 1.68304i | 0.366795 | − | 0.0703101i | ||||
\(574\) | 1.94544 | + | 25.1306i | 0.0812010 | + | 1.04893i | ||||
\(575\) | − | 31.3690i | − | 1.30818i | ||||||
\(576\) | 2.35441 | + | 1.85923i | 0.0981005 | + | 0.0774680i | ||||
\(577\) | 10.6054 | − | 18.3692i | 0.441511 | − | 0.764719i | −0.556291 | − | 0.830987i | \(-0.687776\pi\) |
0.997802 | + | 0.0662687i | \(0.0211095\pi\) | |||||||
\(578\) | 5.96206 | − | 10.3266i | 0.247989 | − | 0.429530i | ||||
\(579\) | −3.62660 | − | 4.19386i | −0.150716 | − | 0.174291i | ||||
\(580\) | 8.31906 | 0.345430 | ||||||||
\(581\) | −27.0880 | − | 12.9629i | −1.12380 | − | 0.537793i | ||||
\(582\) | −0.485358 | − | 2.53202i | −0.0201187 | − | 0.104956i | ||||
\(583\) | −20.3532 | + | 11.7509i | −0.842942 | + | 0.486673i | ||||
\(584\) | −7.95079 | + | 13.7712i | −0.329006 | + | 0.569855i | ||||
\(585\) | 0.524163 | + | 13.5697i | 0.0216715 | + | 0.561040i | ||||
\(586\) | −5.59531 | + | 3.23045i | −0.231140 | + | 0.133449i | ||||
\(587\) | − | 9.30051i | − | 0.383873i | −0.981407 | − | 0.191937i | \(-0.938523\pi\) | ||
0.981407 | − | 0.191937i | \(-0.0614768\pi\) | |||||||
\(588\) | −11.9291 | − | 2.16692i | −0.491950 | − | 0.0893624i | ||||
\(589\) | −23.5722 | −0.971276 | ||||||||
\(590\) | 3.48007 | + | 6.02766i | 0.143272 | + | 0.248155i | ||||
\(591\) | −5.76617 | − | 2.00221i | −0.237188 | − | 0.0823598i | ||||
\(592\) | 4.77663 | + | 2.75779i | 0.196318 | + | 0.113345i | ||||
\(593\) | −18.3797 | + | 10.6115i | −0.754765 | + | 0.435764i | −0.827413 | − | 0.561594i | \(-0.810188\pi\) |
0.0726480 | + | 0.997358i | \(0.476855\pi\) | |||||||
\(594\) | 5.03757 | + | 7.89103i | 0.206694 | + | 0.323773i | ||||
\(595\) | −6.75040 | − | 3.23040i | −0.276739 | − | 0.132433i | ||||
\(596\) | 8.35060 | 0.342054 | ||||||||
\(597\) | 11.7677 | + | 13.6084i | 0.481621 | + | 0.556955i | ||||
\(598\) | 11.0218 | − | 31.1411i | 0.450715 | − | 1.27345i | ||||
\(599\) | −4.28246 | − | 2.47248i | −0.174976 | − | 0.101023i | 0.409954 | − | 0.912106i | \(-0.365545\pi\) |
−0.584930 | + | 0.811084i | \(0.698878\pi\) | |||||||
\(600\) | 4.48569 | − | 3.87895i | 0.183127 | − | 0.158358i | ||||
\(601\) | 30.0304i | 1.22496i | 0.790484 | + | 0.612482i | \(0.209829\pi\) | ||||
−0.790484 | + | 0.612482i | \(0.790171\pi\) | |||||||
\(602\) | −8.29820 | + | 0.642389i | −0.338209 | + | 0.0261818i | ||||
\(603\) | −14.6544 | − | 36.8201i | −0.596774 | − | 1.49943i | ||||
\(604\) | −9.67867 | + | 5.58798i | −0.393819 | + | 0.227372i | ||||
\(605\) | −8.43047 | − | 4.86733i | −0.342747 | − | 0.197885i | ||||
\(606\) | 1.38864 | + | 0.482184i | 0.0564098 | + | 0.0195874i | ||||
\(607\) | −12.2846 | + | 7.09250i | −0.498616 | + | 0.287876i | −0.728142 | − | 0.685427i | \(-0.759616\pi\) |
0.229526 | + | 0.973303i | \(0.426282\pi\) | |||||||
\(608\) | 4.92713 | 0.199821 | ||||||||
\(609\) | −21.5756 | − | 21.3673i | −0.874287 | − | 0.865847i | ||||
\(610\) | 3.84095 | 0.155515 | ||||||||
\(611\) | 22.1876 | + | 25.9696i | 0.897615 | + | 1.05062i | ||||
\(612\) | 0.975393 | − | 6.68816i | 0.0394279 | − | 0.270353i | ||||
\(613\) | 25.9439 | + | 14.9787i | 1.04787 | + | 0.604985i | 0.922051 | − | 0.387068i | \(-0.126512\pi\) |
0.125814 | + | 0.992054i | \(0.459846\pi\) | |||||||
\(614\) | 1.55633 | + | 2.69563i | 0.0628082 | + | 0.108787i | ||||
\(615\) | −3.90008 | − | 20.3460i | −0.157266 | − | 0.820429i | ||||
\(616\) | −2.69494 | − | 3.93194i | −0.108582 | − | 0.158423i | ||||
\(617\) | −18.3153 | −0.737348 | −0.368674 | − | 0.929559i | \(-0.620188\pi\) | ||||
−0.368674 | + | 0.929559i | \(0.620188\pi\) | |||||||
\(618\) | 6.94450 | + | 8.03074i | 0.279349 | + | 0.323044i | ||||
\(619\) | 0.162214 | − | 0.280963i | 0.00651994 | − | 0.0112929i | −0.862747 | − | 0.505636i | \(-0.831258\pi\) |
0.869267 | + | 0.494343i | \(0.164591\pi\) | |||||||
\(620\) | −5.20163 | − | 3.00316i | −0.208903 | − | 0.120610i | ||||
\(621\) | 42.2487 | + | 21.9428i | 1.69538 | + | 0.880536i | ||||
\(622\) | −12.5679 | −0.503927 | ||||||||
\(623\) | 2.62252 | + | 33.8770i | 0.105069 | + | 1.35725i | ||||
\(624\) | 5.81600 | − | 2.27468i | 0.232826 | − | 0.0910600i | ||||
\(625\) | −1.92084 | − | 3.32699i | −0.0768335 | − | 0.133079i | ||||
\(626\) | 1.20941 | + | 0.698253i | 0.0483377 | + | 0.0279078i | ||||
\(627\) | 14.5250 | + | 5.04359i | 0.580075 | + | 0.201421i | ||||
\(628\) | −6.53612 | + | 3.77363i | −0.260819 | + | 0.150584i | ||||
\(629\) | − | 12.4264i | − | 0.495475i | ||||||
\(630\) | 9.94217 | + | 0.672705i | 0.396105 | + | 0.0268012i | ||||
\(631\) | 38.0843i | 1.51611i | 0.652190 | + | 0.758056i | \(0.273850\pi\) | ||||
−0.652190 | + | 0.758056i | \(0.726150\pi\) | |||||||
\(632\) | −0.323763 | − | 0.560775i | −0.0128786 | − | 0.0223064i | ||||
\(633\) | −12.4782 | − | 4.33285i | −0.495964 | − | 0.172215i | ||||
\(634\) | −0.992390 | + | 1.71887i | −0.0394128 | + | 0.0682651i | ||||
\(635\) | −10.5030 | + | 6.06388i | −0.416797 | + | 0.240638i | ||||
\(636\) | −22.1893 | + | 4.25341i | −0.879862 | + | 0.168659i | ||||
\(637\) | −16.4373 | + | 19.1525i | −0.651268 | + | 0.758848i | ||||
\(638\) | − | 11.9386i | − | 0.472655i | ||||||
\(639\) | 21.6922 | + | 17.1299i | 0.858131 | + | 0.677649i | ||||
\(640\) | 1.08726 | + | 0.627730i | 0.0429777 | + | 0.0248132i | ||||
\(641\) | 27.9073 | + | 16.1123i | 1.10227 | + | 0.636396i | 0.936816 | − | 0.349821i | \(-0.113758\pi\) |
0.165454 | + | 0.986217i | \(0.447091\pi\) | |||||||
\(642\) | 12.7294 | + | 14.7205i | 0.502390 | + | 0.580972i | ||||
\(643\) | −44.5662 | −1.75752 | −0.878760 | − | 0.477264i | \(-0.841628\pi\) | ||||
−0.878760 | + | 0.477264i | \(0.841628\pi\) | |||||||
\(644\) | −21.8656 | − | 10.4638i | −0.861625 | − | 0.412330i | ||||
\(645\) | 6.71830 | − | 1.28782i | 0.264533 | − | 0.0507078i | ||||
\(646\) | −5.55034 | − | 9.61347i | −0.218375 | − | 0.378237i | ||||
\(647\) | −4.35837 | + | 7.54892i | −0.171345 | + | 0.296779i | −0.938890 | − | 0.344216i | \(-0.888145\pi\) |
0.767545 | + | 0.640995i | \(0.221478\pi\) | |||||||
\(648\) | 2.08651 | + | 8.75480i | 0.0819659 | + | 0.343921i | ||||
\(649\) | 8.65026 | − | 4.99423i | 0.339552 | − | 0.196041i | ||||
\(650\) | −2.25167 | − | 12.1377i | −0.0883179 | − | 0.476079i | ||||
\(651\) | 5.77694 | + | 21.1490i | 0.226416 | + | 0.828895i | ||||
\(652\) | 11.7704i | 0.460965i | ||||||||
\(653\) | −17.3737 | + | 10.0307i | −0.679884 | + | 0.392531i | −0.799811 | − | 0.600252i | \(-0.795067\pi\) |
0.119928 | + | 0.992783i | \(0.461734\pi\) | |||||||
\(654\) | 1.32414 | − | 3.81341i | 0.0517781 | − | 0.149116i | ||||
\(655\) | 21.1349 | + | 12.2023i | 0.825810 | + | 0.476782i | ||||
\(656\) | −8.25053 | + | 4.76345i | −0.322129 | + | 0.185981i | ||||
\(657\) | −44.3232 | + | 17.6406i | −1.72921 | + | 0.688227i | ||||
\(658\) | 20.6745 | − | 14.1702i | 0.805975 | − | 0.552413i | ||||
\(659\) | 26.2428i | 1.02227i | 0.859500 | + | 0.511136i | \(0.170775\pi\) | ||||
−0.859500 | + | 0.511136i | \(0.829225\pi\) | |||||||
\(660\) | 2.56265 | + | 2.96349i | 0.0997509 | + | 0.115354i | ||||
\(661\) | −15.1199 | + | 26.1885i | −0.588098 | + | 1.01862i | 0.406384 | + | 0.913703i | \(0.366790\pi\) |
−0.994481 | + | 0.104913i | \(0.966544\pi\) | |||||||
\(662\) | 1.38896 | + | 0.801918i | 0.0539836 | + | 0.0311674i | ||||
\(663\) | −10.9898 | − | 8.78538i | −0.426810 | − | 0.341196i | ||||
\(664\) | − | 11.3503i | − | 0.440475i | ||||||
\(665\) | 13.4996 | − | 9.25258i | 0.523492 | − | 0.358800i | ||||
\(666\) | 6.11879 | + | 15.3738i | 0.237098 | + | 0.595725i | ||||
\(667\) | −30.3551 | − | 52.5766i | −1.17535 | − | 2.03577i | ||||
\(668\) | −7.18880 | − | 4.15046i | −0.278143 | − | 0.160586i | ||||
\(669\) | 0.261487 | + | 0.0907971i | 0.0101097 | + | 0.00351042i | ||||
\(670\) | −8.29214 | − | 14.3624i | −0.320353 | − | 0.554868i | ||||
\(671\) | − | 5.51212i | − | 0.212793i | ||||||
\(672\) | −1.20751 | − | 4.42062i | −0.0465808 | − | 0.170529i | ||||
\(673\) | −8.54206 | −0.329272 | −0.164636 | − | 0.986354i | \(-0.552645\pi\) | ||||
−0.164636 | + | 0.986354i | \(0.552645\pi\) | |||||||
\(674\) | −9.50471 | − | 16.4626i | −0.366108 | − | 0.634117i | ||||
\(675\) | 17.7730 | − | 0.792718i | 0.684084 | − | 0.0305117i | ||||
\(676\) | 2.02938 | − | 12.8406i | 0.0780529 | − | 0.493870i | ||||
\(677\) | −5.08564 | − | 8.80859i | −0.195457 | − | 0.338542i | 0.751593 | − | 0.659627i | \(-0.229286\pi\) |
−0.947050 | + | 0.321085i | \(0.895952\pi\) | |||||||
\(678\) | 16.0546 | − | 3.07747i | 0.616573 | − | 0.118190i | ||||
\(679\) | −1.69997 | + | 3.55234i | −0.0652388 | + | 0.136326i | ||||
\(680\) | − | 2.82851i | − | 0.108468i | ||||||
\(681\) | 10.0927 | + | 11.6714i | 0.386753 | + | 0.447248i | ||||
\(682\) | −4.30982 | + | 7.46483i | −0.165032 | + | 0.285843i | ||||
\(683\) | 13.6076 | − | 23.5691i | 0.520682 | − | 0.901848i | −0.479029 | − | 0.877799i | \(-0.659011\pi\) |
0.999711 | − | 0.0240486i | \(-0.00765566\pi\) | |||||||
\(684\) | 11.6005 | + | 9.16068i | 0.443556 | + | 0.350267i | ||||
\(685\) | 13.8424i | 0.528890i | ||||||||
\(686\) | 12.6968 | + | 13.4830i | 0.484766 | + | 0.514784i | ||||
\(687\) | −1.81618 | − | 9.47466i | −0.0692915 | − | 0.361481i | ||||
\(688\) | −1.57290 | − | 2.72435i | −0.0599664 | − | 0.103865i | ||||
\(689\) | −15.6921 | + | 44.3366i | −0.597822 | + | 1.68909i | ||||
\(690\) | 18.8206 | + | 6.53514i | 0.716488 | + | 0.248789i | ||||
\(691\) | −23.0089 | − | 39.8526i | −0.875300 | − | 1.51606i | −0.856443 | − | 0.516242i | \(-0.827330\pi\) |
−0.0188577 | − | 0.999822i | \(-0.506003\pi\) | |||||||
\(692\) | −18.3497 | −0.697552 | ||||||||
\(693\) | 0.965394 | − | 14.2679i | 0.0366723 | − | 0.541994i | ||||
\(694\) | 25.4097i | 0.964540i | ||||||||
\(695\) | −5.70546 | − | 9.88214i | −0.216420 | − | 0.374851i | ||||
\(696\) | 3.76474 | − | 10.8421i | 0.142702 | − | 0.410968i | ||||
\(697\) | 18.5882 | + | 10.7319i | 0.704079 | + | 0.406500i | ||||
\(698\) | 8.41492 | + | 14.5751i | 0.318509 | + | 0.551675i | ||||
\(699\) | 9.80321 | − | 1.87916i | 0.370791 | − | 0.0710762i | ||||
\(700\) | −9.03156 | + | 0.699161i | −0.341361 | + | 0.0264258i | ||||
\(701\) | 19.8971i | 0.751505i | 0.926720 | + | 0.375752i | \(0.122616\pi\) | ||||
−0.926720 | + | 0.375752i | \(0.877384\pi\) | |||||||
\(702\) | 17.9224 | + | 5.45777i | 0.676438 | + | 0.205990i | ||||
\(703\) | 23.5351 | + | 13.5880i | 0.887643 | + | 0.512481i | ||||
\(704\) | 0.900851 | − | 1.56032i | 0.0339521 | − | 0.0588067i | ||||
\(705\) | −15.5823 | + | 13.4746i | −0.586862 | + | 0.507483i | ||||
\(706\) | − | 13.6050i | − | 0.512032i | ||||||
\(707\) | −1.26945 | − | 1.85214i | −0.0477427 | − | 0.0696571i | ||||
\(708\) | 9.43062 | − | 1.80774i | 0.354424 | − | 0.0679389i | ||||
\(709\) | −13.9224 | + | 8.03812i | −0.522868 | + | 0.301878i | −0.738107 | − | 0.674683i | \(-0.764280\pi\) |
0.215239 | + | 0.976561i | \(0.430947\pi\) | |||||||
\(710\) | 10.0174 | + | 5.78355i | 0.375946 | + | 0.217053i | ||||
\(711\) | 0.280338 | − | 1.92225i | 0.0105135 | − | 0.0720899i | ||||
\(712\) | −11.1220 | + | 6.42131i | −0.416816 | + | 0.240649i | ||||
\(713\) | 43.8325i | 1.64154i | ||||||||
\(714\) | −7.26497 | + | 7.33578i | −0.271885 | + | 0.274535i | ||||
\(715\) | 8.01881 | − | 1.48758i | 0.299886 | − | 0.0556323i | ||||
\(716\) | −3.45299 | + | 1.99358i | −0.129044 | + | 0.0745037i | ||||
\(717\) | 19.7210 | + | 6.84779i | 0.736493 | + | 0.255735i | ||||
\(718\) | −14.3788 | + | 24.9048i | −0.536612 | + | 0.929439i | ||||
\(719\) | 0.367826 | + | 0.637094i | 0.0137176 | + | 0.0237596i | 0.872803 | − | 0.488073i | \(-0.162300\pi\) |
−0.859085 | + | 0.511833i | \(0.828967\pi\) | |||||||
\(720\) | 1.39276 | + | 3.49940i | 0.0519052 | + | 0.130415i | ||||
\(721\) | −1.25171 | − | 16.1692i | −0.0466161 | − | 0.602173i | ||||
\(722\) | 5.27659 | 0.196374 | ||||||||
\(723\) | −19.4049 | + | 16.7802i | −0.721674 | + | 0.624061i | ||||
\(724\) | 11.4443 | + | 6.60737i | 0.425324 | + | 0.245561i | ||||
\(725\) | −19.6478 | − | 11.3437i | −0.729700 | − | 0.421293i | ||||
\(726\) | −10.1587 | + | 8.78460i | −0.377023 | + | 0.326027i | ||||
\(727\) | − | 30.0123i | − | 1.11310i | −0.830815 | − | 0.556548i | \(-0.812125\pi\) | ||
0.830815 | − | 0.556548i | \(-0.187875\pi\) | |||||||
\(728\) | −9.21159 | − | 2.47924i | −0.341404 | − | 0.0918869i | ||||
\(729\) | −11.3647 | + | 24.4917i | −0.420915 | + | 0.907100i | ||||
\(730\) | −17.2891 | + | 9.98189i | −0.639900 | + | 0.369446i | ||||
\(731\) | −3.54371 | + | 6.13788i | −0.131069 | + | 0.227018i | ||||
\(732\) | 1.73819 | − | 5.00584i | 0.0642455 | − | 0.185021i | ||||
\(733\) | 10.5944 | + | 18.3500i | 0.391313 | + | 0.677774i | 0.992623 | − | 0.121242i | \(-0.0386876\pi\) |
−0.601310 | + | 0.799016i | \(0.705354\pi\) | |||||||
\(734\) | 20.5275i | 0.757685i | ||||||||
\(735\) | −11.6098 | − | 9.84428i | −0.428235 | − | 0.363112i | ||||
\(736\) | − | 9.16199i | − | 0.337716i | ||||||
\(737\) | −20.6114 | + | 11.9000i | −0.759231 | + | 0.438342i | ||||
\(738\) | −28.2815 | − | 4.12454i | −1.04106 | − | 0.151826i | ||||
\(739\) | −27.6117 | − | 15.9416i | −1.01571 | − | 0.586422i | −0.102854 | − | 0.994696i | \(-0.532797\pi\) |
−0.912859 | + | 0.408274i | \(0.866131\pi\) | |||||||
\(740\) | 3.46229 | + | 5.99687i | 0.127276 | + | 0.220449i | ||||
\(741\) | 28.6562 | − | 11.2076i | 1.05271 | − | 0.411722i | ||||
\(742\) | 31.1308 | + | 14.8976i | 1.14285 | + | 0.546908i | ||||
\(743\) | −52.2488 | −1.91682 | −0.958411 | − | 0.285393i | \(-0.907876\pi\) | ||||
−0.958411 | + | 0.285393i | \(0.907876\pi\) | |||||||
\(744\) | −6.26793 | + | 5.42013i | −0.229794 | + | 0.198712i | ||||
\(745\) | 9.07927 | + | 5.24192i | 0.332639 | + | 0.192049i | ||||
\(746\) | 6.93995 | − | 12.0203i | 0.254090 | − | 0.440096i | ||||
\(747\) | 21.1028 | − | 26.7232i | 0.772110 | − | 0.977750i | ||||
\(748\) | −4.05918 | −0.148418 | ||||||||
\(749\) | −2.29441 | − | 29.6385i | −0.0838359 | − | 1.08297i | ||||
\(750\) | 17.9902 | − | 3.44851i | 0.656910 | − | 0.125922i | ||||
\(751\) | −1.47301 | − | 2.55132i | −0.0537508 | − | 0.0930991i | 0.837898 | − | 0.545827i | \(-0.183784\pi\) |
−0.891649 | + | 0.452728i | \(0.850451\pi\) | |||||||
\(752\) | 8.20429 | + | 4.73675i | 0.299180 | + | 0.172731i | ||||
\(753\) | −16.1502 | − | 5.60791i | −0.588547 | − | 0.204363i | ||||
\(754\) | −15.5193 | − | 18.1647i | −0.565180 | − | 0.661518i | ||||
\(755\) | −14.0310 | −0.510639 | ||||||||
\(756\) | 5.37598 | − | 12.6530i | 0.195523 | − | 0.460186i | ||||
\(757\) | −6.17064 | −0.224276 | −0.112138 | − | 0.993693i | \(-0.535770\pi\) | ||||
−0.112138 | + | 0.993693i | \(0.535770\pi\) | |||||||
\(758\) | −26.3741 | + | 15.2271i | −0.957949 | + | 0.553072i | ||||
\(759\) | 9.37855 | − | 27.0093i | 0.340420 | − | 0.980376i | ||||
\(760\) | 5.35707 | + | 3.09290i | 0.194321 | + | 0.112191i | ||||
\(761\) | 21.9711 | − | 12.6850i | 0.796453 | − | 0.459833i | −0.0457761 | − | 0.998952i | \(-0.514576\pi\) |
0.842230 | + | 0.539119i | \(0.181243\pi\) | |||||||
\(762\) | 3.14991 | + | 16.4325i | 0.114109 | + | 0.595286i | ||||
\(763\) | −5.08624 | + | 3.48609i | −0.184134 | + | 0.126205i | ||||
\(764\) | − | 5.16149i | − | 0.186736i | ||||||
\(765\) | 5.25886 | − | 6.65948i | 0.190135 | − | 0.240774i | ||||
\(766\) | −1.33536 | − | 0.770971i | −0.0482486 | − | 0.0278563i | ||||
\(767\) | 6.66927 | − | 18.8434i | 0.240813 | − | 0.680396i | ||||
\(768\) | 1.31014 | − | 1.13293i | 0.0472756 | − | 0.0408811i | ||||
\(769\) | 44.5230 | 1.60554 | 0.802771 | − | 0.596288i | \(-0.203358\pi\) | ||||
0.802771 | + | 0.596288i | \(0.203358\pi\) | |||||||
\(770\) | −0.461903 | − | 5.96674i | −0.0166458 | − | 0.215026i | ||||
\(771\) | 2.61230 | + |