Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [162,2,Mod(7,162)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(162, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("162.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 162 = 2 \cdot 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 162.g (of order \(27\), 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: | \(1.29357651274\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{27})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{27}]$ |
Embedding invariants
Embedding label | 151.1 | ||
Character | \(\chi\) | \(=\) | 162.151 |
Dual form | 162.2.g.a.103.1 |
$q$-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 \(\left(\mathbb{Z}/162\mathbb{Z}\right)^\times\).
\(n\) | \(83\) |
\(\chi(n)\) | \(e\left(\frac{20}{27}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.686242 | − | 0.727374i | 0.485246 | − | 0.514331i | ||||
\(3\) | −1.68798 | − | 0.388253i | −0.974553 | − | 0.224158i | ||||
\(4\) | −0.0581448 | − | 0.998308i | −0.0290724 | − | 0.499154i | ||||
\(5\) | −3.71787 | − | 0.434557i | −1.66268 | − | 0.194340i | −0.767815 | − | 0.640671i | \(-0.778656\pi\) |
−0.894868 | + | 0.446331i | \(0.852730\pi\) | |||||||
\(6\) | −1.44076 | + | 0.961353i | −0.588189 | + | 0.392471i | ||||
\(7\) | −3.25050 | + | 1.63246i | −1.22858 | + | 0.617014i | −0.940239 | − | 0.340515i | \(-0.889398\pi\) |
−0.288336 | + | 0.957529i | \(0.593102\pi\) | |||||||
\(8\) | −0.766044 | − | 0.642788i | −0.270838 | − | 0.227260i | ||||
\(9\) | 2.69852 | + | 1.31072i | 0.899507 | + | 0.436907i | ||||
\(10\) | −2.86744 | + | 2.40607i | −0.906765 | + | 0.760867i | ||||
\(11\) | 2.08512 | − | 4.83385i | 0.628687 | − | 1.45746i | −0.244292 | − | 0.969702i | \(-0.578556\pi\) |
0.872979 | − | 0.487758i | \(-0.162185\pi\) | |||||||
\(12\) | −0.289449 | + | 1.70769i | −0.0835567 | + | 0.492969i | ||||
\(13\) | −0.202747 | + | 0.0480518i | −0.0562318 | + | 0.0133272i | −0.258635 | − | 0.965975i | \(-0.583273\pi\) |
0.202404 | + | 0.979302i | \(0.435125\pi\) | |||||||
\(14\) | −1.04322 | + | 3.48460i | −0.278812 | + | 0.931298i | ||||
\(15\) | 6.10696 | + | 2.17700i | 1.57681 | + | 0.562098i | ||||
\(16\) | −0.993238 | + | 0.116093i | −0.248310 | + | 0.0290232i | ||||
\(17\) | −0.290217 | − | 1.64590i | −0.0703879 | − | 0.399189i | −0.999563 | − | 0.0295503i | \(-0.990592\pi\) |
0.929175 | − | 0.369639i | \(-0.120519\pi\) | |||||||
\(18\) | 2.80522 | − | 1.06336i | 0.661197 | − | 0.250636i | ||||
\(19\) | 0.286765 | − | 1.62633i | 0.0657885 | − | 0.373105i | −0.934083 | − | 0.357057i | \(-0.883780\pi\) |
0.999871 | − | 0.0160484i | \(-0.00510858\pi\) | |||||||
\(20\) | −0.217647 | + | 3.73685i | −0.0486673 | + | 0.835585i | ||||
\(21\) | 6.12058 | − | 1.49354i | 1.33562 | − | 0.325918i | ||||
\(22\) | −2.08512 | − | 4.83385i | −0.444549 | − | 1.03058i | ||||
\(23\) | −7.81600 | − | 3.92534i | −1.62975 | − | 0.818490i | −0.999100 | − | 0.0424209i | \(-0.986493\pi\) |
−0.630648 | − | 0.776069i | \(-0.717211\pi\) | |||||||
\(24\) | 1.04350 | + | 1.38243i | 0.213004 | + | 0.282187i | ||||
\(25\) | 8.76851 | + | 2.07818i | 1.75370 | + | 0.415635i | ||||
\(26\) | −0.104182 | + | 0.180448i | −0.0204317 | + | 0.0353887i | ||||
\(27\) | −4.04614 | − | 3.26017i | −0.778680 | − | 0.627421i | ||||
\(28\) | 1.81870 | + | 3.15009i | 0.343703 | + | 0.595310i | ||||
\(29\) | 0.216107 | + | 0.721848i | 0.0401301 | + | 0.134044i | 0.975707 | − | 0.219079i | \(-0.0703051\pi\) |
−0.935577 | + | 0.353122i | \(0.885120\pi\) | |||||||
\(30\) | 5.77434 | − | 2.94810i | 1.05425 | − | 0.538246i | ||||
\(31\) | −4.77184 | + | 3.13849i | −0.857047 | + | 0.563689i | −0.900248 | − | 0.435377i | \(-0.856615\pi\) |
0.0432006 | + | 0.999066i | \(0.486245\pi\) | |||||||
\(32\) | −0.597159 | + | 0.802123i | −0.105564 | + | 0.141797i | ||||
\(33\) | −5.39638 | + | 7.34986i | −0.939389 | + | 1.27945i | ||||
\(34\) | −1.39634 | − | 0.918389i | −0.239471 | − | 0.157502i | ||||
\(35\) | 12.7944 | − | 4.65677i | 2.16264 | − | 0.787137i | ||||
\(36\) | 1.15160 | − | 2.77017i | 0.191933 | − | 0.461694i | ||||
\(37\) | 5.15467 | + | 1.87615i | 0.847423 | + | 0.308437i | 0.728989 | − | 0.684525i | \(-0.239990\pi\) |
0.118434 | + | 0.992962i | \(0.462213\pi\) | |||||||
\(38\) | −0.986157 | − | 1.32464i | −0.159976 | − | 0.214885i | ||||
\(39\) | 0.360888 | − | 0.00239336i | 0.0577883 | − | 0.000383244i | ||||
\(40\) | 2.56873 | + | 2.72269i | 0.406152 | + | 0.430495i | ||||
\(41\) | 3.43214 | + | 3.63786i | 0.536010 | + | 0.568138i | 0.937615 | − | 0.347675i | \(-0.113029\pi\) |
−0.401605 | + | 0.915813i | \(0.631547\pi\) | |||||||
\(42\) | 3.11383 | − | 5.47688i | 0.480475 | − | 0.845101i | ||||
\(43\) | −0.625285 | − | 0.839904i | −0.0953551 | − | 0.128084i | 0.751885 | − | 0.659294i | \(-0.229145\pi\) |
−0.847240 | + | 0.531210i | \(0.821737\pi\) | |||||||
\(44\) | −4.94691 | − | 1.80053i | −0.745774 | − | 0.271440i | ||||
\(45\) | −9.46317 | − | 6.04576i | −1.41069 | − | 0.901248i | ||||
\(46\) | −8.21885 | + | 2.99142i | −1.21180 | + | 0.441060i | ||||
\(47\) | 4.54436 | + | 2.98887i | 0.662863 | + | 0.435972i | 0.835854 | − | 0.548952i | \(-0.184973\pi\) |
−0.172991 | + | 0.984923i | \(0.555343\pi\) | |||||||
\(48\) | 1.72163 | + | 0.189666i | 0.248497 | + | 0.0273759i | ||||
\(49\) | 3.72073 | − | 4.99781i | 0.531533 | − | 0.713972i | ||||
\(50\) | 7.52893 | − | 4.95185i | 1.06475 | − | 0.700298i | ||||
\(51\) | −0.149147 | + | 2.89092i | −0.0208847 | + | 0.404809i | ||||
\(52\) | 0.0597592 | + | 0.199610i | 0.00828711 | + | 0.0276809i | ||||
\(53\) | −2.43382 | − | 4.21549i | −0.334310 | − | 0.579042i | 0.649042 | − | 0.760753i | \(-0.275170\pi\) |
−0.983352 | + | 0.181710i | \(0.941837\pi\) | |||||||
\(54\) | −5.14800 | + | 0.705790i | −0.700553 | + | 0.0960459i | ||||
\(55\) | −9.85278 | + | 17.0655i | −1.32855 | + | 2.30111i | ||||
\(56\) | 3.53936 | + | 0.838844i | 0.472967 | + | 0.112095i | ||||
\(57\) | −1.11548 | + | 2.63386i | −0.147749 | + | 0.348864i | ||||
\(58\) | 0.673355 | + | 0.338172i | 0.0884159 | + | 0.0444041i | ||||
\(59\) | −4.73861 | − | 10.9853i | −0.616914 | − | 1.43017i | −0.884457 | − | 0.466622i | \(-0.845471\pi\) |
0.267542 | − | 0.963546i | \(-0.413789\pi\) | |||||||
\(60\) | 1.81822 | − | 6.22321i | 0.234732 | − | 0.803413i | ||||
\(61\) | 0.123728 | − | 2.12434i | 0.0158418 | − | 0.271993i | −0.981081 | − | 0.193599i | \(-0.937984\pi\) |
0.996922 | − | 0.0783938i | \(-0.0249792\pi\) | |||||||
\(62\) | −0.991781 | + | 5.62467i | −0.125956 | + | 0.714334i | ||||
\(63\) | −10.9113 | + | 0.144730i | −1.37469 | + | 0.0182343i | ||||
\(64\) | 0.173648 | + | 0.984808i | 0.0217060 | + | 0.123101i | ||||
\(65\) | 0.774668 | − | 0.0905456i | 0.0960857 | − | 0.0112308i | ||||
\(66\) | 1.64287 | + | 8.96896i | 0.202224 | + | 1.10400i | ||||
\(67\) | 1.79201 | − | 5.98575i | 0.218929 | − | 0.731275i | −0.776003 | − | 0.630729i | \(-0.782756\pi\) |
0.994932 | − | 0.100546i | \(-0.0320590\pi\) | |||||||
\(68\) | −1.62624 | + | 0.385426i | −0.197211 | + | 0.0467398i | ||||
\(69\) | 11.6692 | + | 9.66046i | 1.40480 | + | 1.16298i | ||||
\(70\) | 5.39281 | − | 12.5019i | 0.644565 | − | 1.49427i | ||||
\(71\) | −1.97644 | + | 1.65843i | −0.234560 | + | 0.196820i | −0.752490 | − | 0.658604i | \(-0.771147\pi\) |
0.517930 | + | 0.855423i | \(0.326703\pi\) | |||||||
\(72\) | −1.22467 | − | 2.73865i | −0.144329 | − | 0.322753i | ||||
\(73\) | −4.28632 | − | 3.59665i | −0.501676 | − | 0.420956i | 0.356513 | − | 0.934291i | \(-0.383966\pi\) |
−0.858189 | + | 0.513334i | \(0.828410\pi\) | |||||||
\(74\) | 4.90201 | − | 2.46188i | 0.569847 | − | 0.286188i | ||||
\(75\) | −13.9942 | − | 6.91231i | −1.61591 | − | 0.798164i | ||||
\(76\) | −1.64025 | − | 0.191718i | −0.188150 | − | 0.0219915i | ||||
\(77\) | 1.11340 | + | 19.1163i | 0.126884 | + | 2.17851i | ||||
\(78\) | 0.245915 | − | 0.264143i | 0.0278444 | − | 0.0299083i | ||||
\(79\) | 2.96988 | − | 3.14789i | 0.334138 | − | 0.354166i | −0.538420 | − | 0.842677i | \(-0.680978\pi\) |
0.872558 | + | 0.488511i | \(0.162460\pi\) | |||||||
\(80\) | 3.74318 | 0.418501 | ||||||||
\(81\) | 5.56402 | + | 7.07402i | 0.618224 | + | 0.786002i | ||||
\(82\) | 5.00136 | 0.552308 | ||||||||
\(83\) | −9.81132 | + | 10.3994i | −1.07693 | + | 1.14148i | −0.0875474 | + | 0.996160i | \(0.527903\pi\) |
−0.989385 | + | 0.145321i | \(0.953579\pi\) | |||||||
\(84\) | −1.84690 | − | 6.02338i | −0.201513 | − | 0.657205i | ||||
\(85\) | 0.363751 | + | 6.24536i | 0.0394543 | + | 0.677405i | ||||
\(86\) | −1.04002 | − | 0.121561i | −0.112148 | − | 0.0131083i | ||||
\(87\) | −0.0845240 | − | 1.30237i | −0.00906192 | − | 0.139628i | ||||
\(88\) | −4.70443 | + | 2.36265i | −0.501494 | + | 0.251860i | ||||
\(89\) | 0.396952 | + | 0.333082i | 0.0420768 | + | 0.0353067i | 0.663584 | − | 0.748102i | \(-0.269035\pi\) |
−0.621507 | + | 0.783409i | \(0.713479\pi\) | |||||||
\(90\) | −10.8915 | + | 2.73441i | −1.14807 | + | 0.288232i | ||||
\(91\) | 0.580586 | − | 0.487170i | 0.0608620 | − | 0.0510692i | ||||
\(92\) | −3.46424 | + | 8.03101i | −0.361172 | + | 0.837291i | ||||
\(93\) | 9.27327 | − | 3.44501i | 0.961593 | − | 0.357231i | ||||
\(94\) | 5.29255 | − | 1.25436i | 0.545885 | − | 0.129377i | ||||
\(95\) | −1.77289 | + | 5.92186i | −0.181895 | + | 0.607570i | ||||
\(96\) | 1.31942 | − | 1.12212i | 0.134662 | − | 0.114525i | ||||
\(97\) | 1.84818 | − | 0.216021i | 0.187654 | − | 0.0219337i | −0.0217465 | − | 0.999764i | \(-0.506923\pi\) |
0.209401 | + | 0.977830i | \(0.432849\pi\) | |||||||
\(98\) | −1.08195 | − | 6.13606i | −0.109294 | − | 0.619836i | ||||
\(99\) | 11.9626 | − | 10.3112i | 1.20228 | − | 1.03632i | ||||
\(100\) | 1.56482 | − | 8.87451i | 0.156482 | − | 0.887451i | ||||
\(101\) | 0.668800 | − | 11.4829i | 0.0665481 | − | 1.14259i | −0.785410 | − | 0.618976i | \(-0.787548\pi\) |
0.851958 | − | 0.523610i | \(-0.175415\pi\) | |||||||
\(102\) | 2.00042 | + | 2.09235i | 0.198072 | + | 0.207174i | ||||
\(103\) | −5.88743 | − | 13.6486i | −0.580105 | − | 1.34484i | −0.915333 | − | 0.402698i | \(-0.868073\pi\) |
0.335228 | − | 0.942137i | \(-0.391187\pi\) | |||||||
\(104\) | 0.186200 | + | 0.0935132i | 0.0182584 | + | 0.00916972i | ||||
\(105\) | −23.4046 | + | 2.89306i | −2.28405 | + | 0.282334i | ||||
\(106\) | −4.73642 | − | 1.12255i | −0.460042 | − | 0.109032i | ||||
\(107\) | 1.27937 | − | 2.21593i | 0.123681 | − | 0.214222i | −0.797535 | − | 0.603272i | \(-0.793863\pi\) |
0.921217 | + | 0.389050i | \(0.127197\pi\) | |||||||
\(108\) | −3.01940 | + | 4.22886i | −0.290541 | + | 0.406922i | ||||
\(109\) | −5.38593 | − | 9.32871i | −0.515879 | − | 0.893528i | −0.999830 | − | 0.0184331i | \(-0.994132\pi\) |
0.483951 | − | 0.875095i | \(-0.339201\pi\) | |||||||
\(110\) | 5.65162 | + | 18.8777i | 0.538861 | + | 1.79992i | ||||
\(111\) | −7.97254 | − | 5.16821i | −0.756720 | − | 0.490544i | ||||
\(112\) | 3.03901 | − | 1.99879i | 0.287159 | − | 0.188868i | ||||
\(113\) | −7.36982 | + | 9.89939i | −0.693295 | + | 0.931256i | −0.999787 | − | 0.0206167i | \(-0.993437\pi\) |
0.306493 | + | 0.951873i | \(0.400844\pi\) | |||||||
\(114\) | 1.15031 | + | 2.61884i | 0.107737 | + | 0.245276i | ||||
\(115\) | 27.3531 | + | 17.9904i | 2.55069 | + | 1.67761i | ||||
\(116\) | 0.708062 | − | 0.257713i | 0.0657419 | − | 0.0239281i | ||||
\(117\) | −0.610098 | − | 0.136076i | −0.0564036 | − | 0.0125802i | ||||
\(118\) | −11.2423 | − | 4.09185i | −1.03494 | − | 0.376686i | ||||
\(119\) | 3.63022 | + | 4.87624i | 0.332782 | + | 0.447004i | ||||
\(120\) | −3.27886 | − | 5.59315i | −0.299317 | − | 0.510583i | ||||
\(121\) | −11.4697 | − | 12.1572i | −1.04270 | − | 1.10520i | ||||
\(122\) | −1.46028 | − | 1.54780i | −0.132207 | − | 0.140132i | ||||
\(123\) | −4.38096 | − | 7.47315i | −0.395018 | − | 0.673831i | ||||
\(124\) | 3.41064 | + | 4.58128i | 0.306284 | + | 0.411411i | ||||
\(125\) | −14.1099 | − | 5.13559i | −1.26203 | − | 0.459341i | ||||
\(126\) | −7.38249 | + | 8.03588i | −0.657684 | + | 0.715893i | ||||
\(127\) | 17.2415 | − | 6.27538i | 1.52993 | − | 0.556850i | 0.566327 | − | 0.824181i | \(-0.308364\pi\) |
0.963605 | + | 0.267331i | \(0.0861417\pi\) | |||||||
\(128\) | 0.835488 | + | 0.549509i | 0.0738474 | + | 0.0485702i | ||||
\(129\) | 0.729371 | + | 1.66051i | 0.0642175 | + | 0.146199i | ||||
\(130\) | 0.465749 | − | 0.625609i | 0.0408489 | − | 0.0548695i | ||||
\(131\) | −0.165733 | + | 0.109005i | −0.0144802 | + | 0.00952378i | −0.556728 | − | 0.830695i | \(-0.687944\pi\) |
0.542248 | + | 0.840218i | \(0.317573\pi\) | |||||||
\(132\) | 7.65120 | + | 4.95989i | 0.665951 | + | 0.431703i | ||||
\(133\) | 1.72279 | + | 5.75452i | 0.149385 | + | 0.498980i | ||||
\(134\) | −3.12412 | − | 5.41113i | −0.269883 | − | 0.467451i | ||||
\(135\) | 13.6263 | + | 13.8792i | 1.17277 | + | 1.19453i | ||||
\(136\) | −0.835645 | + | 1.44738i | −0.0716560 | + | 0.124112i | ||||
\(137\) | −4.29953 | − | 1.01901i | −0.367333 | − | 0.0870596i | 0.0428037 | − | 0.999084i | \(-0.486371\pi\) |
−0.410137 | + | 0.912024i | \(0.634519\pi\) | |||||||
\(138\) | 15.0346 | − | 1.85845i | 1.27983 | − | 0.158201i | ||||
\(139\) | −1.10445 | − | 0.554676i | −0.0936783 | − | 0.0470470i | 0.401343 | − | 0.915928i | \(-0.368543\pi\) |
−0.495021 | + | 0.868881i | \(0.664840\pi\) | |||||||
\(140\) | −5.39281 | − | 12.5019i | −0.455776 | − | 1.05661i | ||||
\(141\) | −6.51032 | − | 6.80950i | −0.548268 | − | 0.573463i | ||||
\(142\) | −0.150017 | + | 2.57570i | −0.0125892 | + | 0.216148i | ||||
\(143\) | −0.190475 | + | 1.08024i | −0.0159284 | + | 0.0903342i | ||||
\(144\) | −2.83244 | − | 0.988580i | −0.236037 | − | 0.0823817i | ||||
\(145\) | −0.489775 | − | 2.77765i | −0.0406736 | − | 0.230671i | ||||
\(146\) | −5.55756 | + | 0.649586i | −0.459947 | + | 0.0537601i | ||||
\(147\) | −8.22091 | + | 6.99159i | −0.678049 | + | 0.576657i | ||||
\(148\) | 1.57326 | − | 5.25504i | 0.129321 | − | 0.431962i | ||||
\(149\) | 7.84141 | − | 1.85845i | 0.642394 | − | 0.152250i | 0.103507 | − | 0.994629i | \(-0.466993\pi\) |
0.538886 | + | 0.842379i | \(0.318845\pi\) | |||||||
\(150\) | −14.6312 | + | 5.43548i | −1.19463 | + | 0.443805i | ||||
\(151\) | 2.94676 | − | 6.83136i | 0.239804 | − | 0.555928i | −0.755230 | − | 0.655459i | \(-0.772475\pi\) |
0.995034 | + | 0.0995312i | \(0.0317343\pi\) | |||||||
\(152\) | −1.26506 | + | 1.06151i | −0.102610 | + | 0.0860998i | ||||
\(153\) | 1.37416 | − | 4.82189i | 0.111094 | − | 0.389826i | ||||
\(154\) | 14.6688 | + | 12.3086i | 1.18204 | + | 0.991852i | ||||
\(155\) | 19.1049 | − | 9.59486i | 1.53455 | − | 0.770678i | ||||
\(156\) | −0.0233731 | − | 0.360138i | −0.00187134 | − | 0.0288341i | ||||
\(157\) | 19.5842 | + | 2.28906i | 1.56299 | + | 0.182687i | 0.853145 | − | 0.521673i | \(-0.174692\pi\) |
0.709843 | + | 0.704360i | \(0.248766\pi\) | |||||||
\(158\) | −0.251636 | − | 4.32043i | −0.0200191 | − | 0.343715i | ||||
\(159\) | 2.47154 | + | 8.06058i | 0.196006 | + | 0.639246i | ||||
\(160\) | 2.56873 | − | 2.72269i | 0.203076 | − | 0.215248i | ||||
\(161\) | 31.8139 | 2.50729 | ||||||||
\(162\) | 8.96371 | + | 0.807367i | 0.704256 | + | 0.0634328i | ||||
\(163\) | 7.25041 | 0.567896 | 0.283948 | − | 0.958840i | \(-0.408356\pi\) | ||||
0.283948 | + | 0.958840i | \(0.408356\pi\) | |||||||
\(164\) | 3.43214 | − | 3.63786i | 0.268005 | − | 0.284069i | ||||
\(165\) | 23.2570 | − | 24.9808i | 1.81055 | − | 1.94475i | ||||
\(166\) | 0.831307 | + | 14.2730i | 0.0645219 | + | 1.10780i | ||||
\(167\) | 18.7077 | + | 2.18662i | 1.44764 | + | 0.169205i | 0.803320 | − | 0.595547i | \(-0.203065\pi\) |
0.644324 | + | 0.764753i | \(0.277139\pi\) | |||||||
\(168\) | −5.64867 | − | 2.79011i | −0.435804 | − | 0.215262i | ||||
\(169\) | −11.5784 | + | 5.81490i | −0.890648 | + | 0.447300i | ||||
\(170\) | 4.79233 | + | 4.02124i | 0.367555 | + | 0.308415i | ||||
\(171\) | 2.90550 | − | 4.01281i | 0.222189 | − | 0.306867i | ||||
\(172\) | −0.802126 | + | 0.673063i | −0.0611615 | + | 0.0513206i | ||||
\(173\) | 1.82769 | − | 4.23707i | 0.138957 | − | 0.322138i | −0.834500 | − | 0.551007i | \(-0.814244\pi\) |
0.973457 | + | 0.228869i | \(0.0735028\pi\) | |||||||
\(174\) | −1.00531 | − | 0.832258i | −0.0762124 | − | 0.0630933i | ||||
\(175\) | −31.8946 | + | 7.55917i | −2.41101 | + | 0.571419i | ||||
\(176\) | −1.50984 | + | 5.04323i | −0.113809 | + | 0.380148i | ||||
\(177\) | 3.73357 | + | 20.3827i | 0.280632 | + | 1.53206i | ||||
\(178\) | 0.514681 | − | 0.0601575i | 0.0385769 | − | 0.00450900i | ||||
\(179\) | 4.34713 | + | 24.6538i | 0.324920 | + | 1.84271i | 0.510240 | + | 0.860032i | \(0.329557\pi\) |
−0.185320 | + | 0.982678i | \(0.559332\pi\) | |||||||
\(180\) | −5.48529 | + | 9.79869i | −0.408850 | + | 0.730351i | ||||
\(181\) | 2.73733 | − | 15.5241i | 0.203464 | − | 1.15390i | −0.696375 | − | 0.717678i | \(-0.745205\pi\) |
0.899839 | − | 0.436223i | \(-0.143684\pi\) | |||||||
\(182\) | 0.0440680 | − | 0.756619i | 0.00326654 | − | 0.0560843i | ||||
\(183\) | −1.03363 | + | 3.53779i | −0.0764081 | + | 0.261521i | ||||
\(184\) | 3.46424 | + | 8.03101i | 0.255387 | + | 0.592054i | ||||
\(185\) | −18.3491 | − | 9.21528i | −1.34905 | − | 0.677521i | ||||
\(186\) | 3.85790 | − | 9.10924i | 0.282875 | − | 0.667922i | ||||
\(187\) | −8.56116 | − | 2.02903i | −0.626054 | − | 0.148378i | ||||
\(188\) | 2.71958 | − | 4.71046i | 0.198346 | − | 0.343545i | ||||
\(189\) | 18.4741 | + | 3.99203i | 1.34379 | + | 0.290377i | ||||
\(190\) | 3.09078 | + | 5.35338i | 0.224228 | + | 0.388375i | ||||
\(191\) | −0.382243 | − | 1.27678i | −0.0276581 | − | 0.0923845i | 0.943046 | − | 0.332662i | \(-0.107947\pi\) |
−0.970704 | + | 0.240277i | \(0.922762\pi\) | |||||||
\(192\) | 0.0892405 | − | 1.72975i | 0.00644038 | − | 0.124834i | ||||
\(193\) | −11.1785 | + | 7.35219i | −0.804644 | + | 0.529222i | −0.883924 | − | 0.467630i | \(-0.845108\pi\) |
0.0792808 | + | 0.996852i | \(0.474738\pi\) | |||||||
\(194\) | 1.11117 | − | 1.49256i | 0.0797774 | − | 0.107160i | ||||
\(195\) | −1.34277 | − | 0.147928i | −0.0961580 | − | 0.0105933i | ||||
\(196\) | −5.20569 | − | 3.42384i | −0.371835 | − | 0.244560i | ||||
\(197\) | −24.7068 | + | 8.99252i | −1.76028 | + | 0.640691i | −0.999961 | − | 0.00885463i | \(-0.997181\pi\) |
−0.760323 | + | 0.649545i | \(0.774959\pi\) | |||||||
\(198\) | 0.709097 | − | 15.7772i | 0.0503934 | − | 1.12124i | ||||
\(199\) | −2.18009 | − | 0.793488i | −0.154542 | − | 0.0562489i | 0.263591 | − | 0.964635i | \(-0.415093\pi\) |
−0.418133 | + | 0.908386i | \(0.637315\pi\) | |||||||
\(200\) | −5.38124 | − | 7.22827i | −0.380511 | − | 0.511116i | ||||
\(201\) | −5.34886 | + | 9.40804i | −0.377279 | + | 0.663592i | ||||
\(202\) | −7.89336 | − | 8.36648i | −0.555375 | − | 0.588663i | ||||
\(203\) | −1.88085 | − | 1.99358i | −0.132010 | − | 0.139922i | ||||
\(204\) | 2.89470 | − | 0.0191972i | 0.202669 | − | 0.00134408i | ||||
\(205\) | −11.1794 | − | 15.0166i | −0.780804 | − | 1.04880i | ||||
\(206\) | −13.9678 | − | 5.08387i | −0.973184 | − | 0.354210i | ||||
\(207\) | −15.9466 | − | 20.8372i | −1.10836 | − | 1.44829i | ||||
\(208\) | 0.195797 | − | 0.0712644i | 0.0135761 | − | 0.00494130i | ||||
\(209\) | −7.26347 | − | 4.77726i | −0.502425 | − | 0.330450i | ||||
\(210\) | −13.9569 | + | 19.0092i | −0.963114 | + | 1.31176i | ||||
\(211\) | −5.83455 | + | 7.83716i | −0.401667 | + | 0.539532i | −0.956233 | − | 0.292608i | \(-0.905477\pi\) |
0.554566 | + | 0.832140i | \(0.312884\pi\) | |||||||
\(212\) | −4.06685 | + | 2.67481i | −0.279312 | + | 0.183706i | ||||
\(213\) | 3.98007 | − | 2.03203i | 0.272710 | − | 0.139232i | ||||
\(214\) | −0.733854 | − | 2.45124i | −0.0501653 | − | 0.167564i | ||||
\(215\) | 1.95974 | + | 3.39438i | 0.133653 | + | 0.231495i | ||||
\(216\) | 1.00393 | + | 5.09825i | 0.0683085 | + | 0.346892i | ||||
\(217\) | 10.3874 | − | 17.9915i | 0.705144 | − | 1.22134i | ||||
\(218\) | −10.4815 | − | 2.48416i | −0.709897 | − | 0.168249i | ||||
\(219\) | 5.83880 | + | 7.73524i | 0.394549 | + | 0.522699i | ||||
\(220\) | 17.6095 | + | 8.84384i | 1.18723 | + | 0.596252i | ||||
\(221\) | 0.137929 | + | 0.319755i | 0.00927811 | + | 0.0215091i | ||||
\(222\) | −9.23031 | + | 2.25238i | −0.619498 | + | 0.151170i | ||||
\(223\) | −0.340442 | + | 5.84516i | −0.0227977 | + | 0.391421i | 0.967538 | + | 0.252727i | \(0.0813274\pi\) |
−0.990335 | + | 0.138694i | \(0.955710\pi\) | |||||||
\(224\) | 0.631629 | − | 3.58215i | 0.0422025 | − | 0.239342i | ||||
\(225\) | 20.9381 | + | 17.1011i | 1.39587 | + | 1.14007i | ||||
\(226\) | 2.14308 | + | 12.1540i | 0.142555 | + | 0.808471i | ||||
\(227\) | −7.48001 | + | 0.874287i | −0.496465 | + | 0.0580285i | −0.360642 | − | 0.932705i | \(-0.617442\pi\) |
−0.135824 | + | 0.990733i | \(0.543368\pi\) | |||||||
\(228\) | 2.69427 | + | 0.960446i | 0.178432 | + | 0.0636071i | ||||
\(229\) | −3.23898 | + | 10.8190i | −0.214038 | + | 0.714937i | 0.781778 | + | 0.623557i | \(0.214313\pi\) |
−0.995816 | + | 0.0913799i | \(0.970872\pi\) | |||||||
\(230\) | 31.8566 | − | 7.55015i | 2.10056 | − | 0.497842i | ||||
\(231\) | 5.54257 | − | 32.7002i | 0.364675 | − | 2.15151i | ||||
\(232\) | 0.298448 | − | 0.691879i | 0.0195940 | − | 0.0454241i | ||||
\(233\) | 5.82577 | − | 4.88840i | 0.381659 | − | 0.320250i | −0.431694 | − | 0.902020i | \(-0.642084\pi\) |
0.813353 | + | 0.581770i | \(0.197640\pi\) | |||||||
\(234\) | −0.517653 | + | 0.350389i | −0.0338400 | + | 0.0229056i | ||||
\(235\) | −15.5965 | − | 13.0870i | −1.01740 | − | 0.853703i | ||||
\(236\) | −10.6912 | + | 5.36933i | −0.695939 | + | 0.349514i | ||||
\(237\) | −6.23527 | + | 4.16050i | −0.405024 | + | 0.270253i | ||||
\(238\) | 6.03806 | + | 0.705748i | 0.391389 | + | 0.0457468i | ||||
\(239\) | 1.11084 | + | 19.0723i | 0.0718541 | + | 1.23369i | 0.820862 | + | 0.571126i | \(0.193493\pi\) |
−0.749008 | + | 0.662561i | \(0.769470\pi\) | |||||||
\(240\) | −6.31840 | − | 1.45330i | −0.407851 | − | 0.0938102i | ||||
\(241\) | 4.44457 | − | 4.71097i | 0.286300 | − | 0.303460i | −0.568222 | − | 0.822875i | \(-0.692369\pi\) |
0.854522 | + | 0.519415i | \(0.173850\pi\) | |||||||
\(242\) | −16.7138 | −1.07440 | ||||||||
\(243\) | −6.64541 | − | 14.1010i | −0.426303 | − | 0.904580i | ||||
\(244\) | −2.12794 | −0.136227 | ||||||||
\(245\) | −16.0050 | + | 16.9643i | −1.02252 | + | 1.08381i | ||||
\(246\) | −8.44217 | − | 1.94179i | −0.538253 | − | 0.123804i | ||||
\(247\) | 0.0200073 | + | 0.343512i | 0.00127303 | + | 0.0218571i | ||||
\(248\) | 5.67282 | + | 0.663058i | 0.360224 | + | 0.0421042i | ||||
\(249\) | 20.5989 | − | 13.7446i | 1.30540 | − | 0.871031i | ||||
\(250\) | −13.4183 | + | 6.73893i | −0.848648 | + | 0.426207i | ||||
\(251\) | −6.01053 | − | 5.04343i | −0.379381 | − | 0.318339i | 0.433078 | − | 0.901356i | \(-0.357427\pi\) |
−0.812459 | + | 0.583018i | \(0.801872\pi\) | |||||||
\(252\) | 0.778919 | + | 10.8844i | 0.0490673 | + | 0.685652i | ||||
\(253\) | −35.2718 | + | 29.5965i | −2.21752 | + | 1.86072i | ||||
\(254\) | 7.26726 | − | 16.8474i | 0.455989 | − | 1.05710i | ||||
\(255\) | 1.81078 | − | 10.6832i | 0.113395 | − | 0.669011i | ||||
\(256\) | 0.973045 | − | 0.230616i | 0.0608153 | − | 0.0144135i | ||||
\(257\) | 3.31564 | − | 11.0750i | 0.206824 | − | 0.690839i | −0.790137 | − | 0.612931i | \(-0.789991\pi\) |
0.996960 | − | 0.0779088i | \(-0.0248243\pi\) | |||||||
\(258\) | 1.70833 | + | 0.608983i | 0.106356 | + | 0.0379136i | ||||
\(259\) | −19.8180 | + | 2.31640i | −1.23143 | + | 0.143934i | ||||
\(260\) | −0.135435 | − | 0.768092i | −0.00839935 | − | 0.0476351i | ||||
\(261\) | −0.362973 | + | 2.23118i | −0.0224675 | + | 0.138106i | ||||
\(262\) | −0.0344461 | + | 0.195354i | −0.00212809 | + | 0.0120690i | ||||
\(263\) | 0.419053 | − | 7.19487i | 0.0258399 | − | 0.443655i | −0.960431 | − | 0.278519i | \(-0.910157\pi\) |
0.986271 | − | 0.165136i | \(-0.0528063\pi\) | |||||||
\(264\) | 8.85827 | − | 2.16159i | 0.545189 | − | 0.133037i | ||||
\(265\) | 7.21674 | + | 16.7303i | 0.443321 | + | 1.02773i | ||||
\(266\) | 5.36793 | + | 2.69588i | 0.329129 | + | 0.165295i | ||||
\(267\) | −0.540725 | − | 0.716353i | −0.0330918 | − | 0.0438401i | ||||
\(268\) | −6.07982 | − | 1.44094i | −0.371384 | − | 0.0880196i | ||||
\(269\) | 10.8367 | − | 18.7696i | 0.660723 | − | 1.14441i | −0.319703 | − | 0.947518i | \(-0.603583\pi\) |
0.980426 | − | 0.196888i | \(-0.0630834\pi\) | |||||||
\(270\) | 19.4463 | − | 0.386941i | 1.18346 | − | 0.0235485i | ||||
\(271\) | 10.7244 | + | 18.5753i | 0.651463 | + | 1.12837i | 0.982768 | + | 0.184844i | \(0.0591779\pi\) |
−0.331305 | + | 0.943524i | \(0.607489\pi\) | |||||||
\(272\) | 0.479332 | + | 1.60108i | 0.0290637 | + | 0.0970797i | ||||
\(273\) | −1.16916 | + | 0.596916i | −0.0707608 | + | 0.0361270i | ||||
\(274\) | −3.69171 | + | 2.42808i | −0.223024 | + | 0.146686i | ||||
\(275\) | 28.3290 | − | 38.0524i | 1.70830 | − | 2.29465i | ||||
\(276\) | 8.96561 | − | 12.2111i | 0.539666 | − | 0.735024i | ||||
\(277\) | −10.0441 | − | 6.60609i | −0.603490 | − | 0.396922i | 0.210674 | − | 0.977556i | \(-0.432434\pi\) |
−0.814164 | + | 0.580635i | \(0.802804\pi\) | |||||||
\(278\) | −1.16138 | + | 0.422707i | −0.0696548 | + | 0.0253523i | ||||
\(279\) | −16.9906 | + | 2.21472i | −1.01720 | + | 0.132592i | ||||
\(280\) | −12.7944 | − | 4.65677i | −0.764609 | − | 0.278295i | ||||
\(281\) | −5.53844 | − | 7.43941i | −0.330395 | − | 0.443798i | 0.605622 | − | 0.795753i | \(-0.292925\pi\) |
−0.936017 | + | 0.351955i | \(0.885517\pi\) | |||||||
\(282\) | −9.42070 | + | 0.0624768i | −0.560995 | + | 0.00372044i | ||||
\(283\) | 16.3804 | + | 17.3622i | 0.973714 | + | 1.03208i | 0.999475 | + | 0.0324087i | \(0.0103178\pi\) |
−0.0257605 | + | 0.999668i | \(0.508201\pi\) | |||||||
\(284\) | 1.77054 | + | 1.87667i | 0.105063 | + | 0.111360i | ||||
\(285\) | 5.29177 | − | 9.30762i | 0.313457 | − | 0.551336i | ||||
\(286\) | 0.655026 | + | 0.879852i | 0.0387325 | + | 0.0520268i | ||||
\(287\) | −17.0949 | − | 6.22202i | −1.00908 | − | 0.367274i | ||||
\(288\) | −2.66280 | + | 1.38184i | −0.156907 | + | 0.0814255i | ||||
\(289\) | 13.3500 | − | 4.85901i | 0.785295 | − | 0.285824i | ||||
\(290\) | −2.35649 | − | 1.54989i | −0.138378 | − | 0.0910127i | ||||
\(291\) | −3.20356 | − | 0.352923i | −0.187796 | − | 0.0206887i | ||||
\(292\) | −3.34134 | + | 4.48820i | −0.195537 | + | 0.262652i | ||||
\(293\) | −11.4171 | + | 7.50914i | −0.666994 | + | 0.438689i | −0.837330 | − | 0.546697i | \(-0.815885\pi\) |
0.170337 | + | 0.985386i | \(0.445515\pi\) | |||||||
\(294\) | −0.556033 | + | 10.7776i | −0.0324285 | + | 0.628562i | ||||
\(295\) | 12.8438 | + | 42.9013i | 0.747795 | + | 2.49781i | ||||
\(296\) | −2.74274 | − | 4.75057i | −0.159419 | − | 0.276121i | ||||
\(297\) | −24.1959 | + | 12.7606i | −1.40399 | + | 0.740444i | ||||
\(298\) | 4.02932 | − | 6.97898i | 0.233412 | − | 0.404282i | ||||
\(299\) | 1.77329 | + | 0.420277i | 0.102552 | + | 0.0243052i | ||||
\(300\) | −6.08692 | + | 14.3724i | −0.351429 | + | 0.829792i | ||||
\(301\) | 3.40361 | + | 1.70935i | 0.196181 | + | 0.0985256i | ||||
\(302\) | −2.94676 | − | 6.83136i | −0.169567 | − | 0.393101i | ||||
\(303\) | −5.58717 | + | 19.1231i | −0.320974 | + | 1.09859i | ||||
\(304\) | −0.0960213 | + | 1.64862i | −0.00550720 | + | 0.0945549i | ||||
\(305\) | −1.38315 | + | 7.84424i | −0.0791990 | + | 0.449160i | ||||
\(306\) | −2.56431 | − | 4.30851i | −0.146592 | − | 0.246301i | ||||
\(307\) | −2.34246 | − | 13.2847i | −0.133691 | − | 0.758201i | −0.975762 | − | 0.218834i | \(-0.929775\pi\) |
0.842071 | − | 0.539367i | \(-0.181336\pi\) | |||||||
\(308\) | 19.0192 | − | 2.22303i | 1.08372 | − | 0.126669i | ||||
\(309\) | 4.63873 | + | 25.3243i | 0.263888 | + | 1.44065i | ||||
\(310\) | 6.13156 | − | 20.4808i | 0.348249 | − | 1.16323i | ||||
\(311\) | −5.74747 | + | 1.36218i | −0.325909 | + | 0.0772419i | −0.390314 | − | 0.920682i | \(-0.627633\pi\) |
0.0644043 | + | 0.997924i | \(0.479485\pi\) | |||||||
\(312\) | −0.277994 | − | 0.230141i | −0.0157383 | − | 0.0130291i | ||||
\(313\) | 3.49181 | − | 8.09493i | 0.197369 | − | 0.457552i | −0.790575 | − | 0.612365i | \(-0.790218\pi\) |
0.987944 | + | 0.154813i | \(0.0494775\pi\) | |||||||
\(314\) | 15.1045 | − | 12.6742i | 0.852395 | − | 0.715245i | ||||
\(315\) | 40.6296 | + | 4.20347i | 2.28922 | + | 0.236839i | ||||
\(316\) | −3.31525 | − | 2.78182i | −0.186497 | − | 0.156490i | ||||
\(317\) | −6.52805 | + | 3.27851i | −0.366652 | + | 0.184139i | −0.622580 | − | 0.782556i | \(-0.713915\pi\) |
0.255928 | + | 0.966696i | \(0.417619\pi\) | |||||||
\(318\) | 7.55913 | + | 3.73377i | 0.423895 | + | 0.209379i | ||||
\(319\) | 3.93991 | + | 0.460510i | 0.220593 | + | 0.0257836i | ||||
\(320\) | −0.217647 | − | 3.73685i | −0.0121668 | − | 0.208896i | ||||
\(321\) | −3.01989 | + | 3.24372i | −0.168554 | + | 0.181047i | ||||
\(322\) | 21.8320 | − | 23.1406i | 1.21665 | − | 1.28958i | ||||
\(323\) | −2.76000 | −0.153570 | ||||||||
\(324\) | 6.73853 | − | 5.96592i | 0.374363 | − | 0.331440i | ||||
\(325\) | −1.87765 | −0.104153 | ||||||||
\(326\) | 4.97554 | − | 5.27376i | 0.275569 | − | 0.292087i | ||||
\(327\) | 5.46942 | + | 17.8377i | 0.302460 | + | 0.986428i | ||||
\(328\) | −0.290803 | − | 4.99290i | −0.0160569 | − | 0.275687i | ||||
\(329\) | −19.6507 | − | 2.29683i | −1.08338 | − | 0.126629i | ||||
\(330\) | −2.21046 | − | 34.0594i | −0.121682 | − | 1.87491i | ||||
\(331\) | −28.6172 | + | 14.3721i | −1.57294 | + | 0.789962i | −0.999570 | − | 0.0293318i | \(-0.990662\pi\) |
−0.573374 | + | 0.819294i | \(0.694366\pi\) | |||||||
\(332\) | 10.9523 | + | 9.19005i | 0.601084 | + | 0.504369i | ||||
\(333\) | 11.4509 | + | 11.8192i | 0.627504 | + | 0.647686i | ||||
\(334\) | 14.4285 | − | 12.1069i | 0.789491 | − | 0.662462i | ||||
\(335\) | −9.26363 | + | 21.4755i | −0.506126 | + | 1.17333i | ||||
\(336\) | −5.90581 | + | 2.19400i | −0.322188 | + | 0.119692i | ||||
\(337\) | 25.2820 | − | 5.99194i | 1.37720 | − | 0.326402i | 0.525660 | − | 0.850695i | \(-0.323819\pi\) |
0.851538 | + | 0.524293i | \(0.175670\pi\) | |||||||
\(338\) | −3.71599 | + | 12.4123i | −0.202123 | + | 0.675139i | ||||
\(339\) | 16.2835 | − | 13.8486i | 0.884401 | − | 0.752151i | ||||
\(340\) | 6.21365 | − | 0.726271i | 0.336982 | − | 0.0393876i | ||||
\(341\) | 5.22112 | + | 29.6104i | 0.282740 | + | 1.60350i | ||||
\(342\) | −0.924931 | − | 4.86714i | −0.0500145 | − | 0.263185i | ||||
\(343\) | 0.485898 | − | 2.75566i | 0.0262360 | − | 0.148792i | ||||
\(344\) | −0.0608835 | + | 1.04533i | −0.00328262 | + | 0.0563604i | ||||
\(345\) | −39.1865 | − | 40.9873i | −2.10973 | − | 2.20668i | ||||
\(346\) | −1.82769 | − | 4.23707i | −0.0982573 | − | 0.227786i | ||||
\(347\) | 11.6904 | + | 5.87112i | 0.627571 | + | 0.315178i | 0.734007 | − | 0.679142i | \(-0.237648\pi\) |
−0.106436 | + | 0.994320i | \(0.533944\pi\) | |||||||
\(348\) | −1.29525 | + | 0.160107i | −0.0694326 | + | 0.00858263i | ||||
\(349\) | −19.4854 | − | 4.61812i | −1.04303 | − | 0.247202i | −0.326819 | − | 0.945087i | \(-0.605977\pi\) |
−0.716210 | + | 0.697885i | \(0.754125\pi\) | |||||||
\(350\) | −16.3891 | + | 28.3867i | −0.876034 | + | 1.51733i | ||||
\(351\) | 0.976999 | + | 0.466565i | 0.0521484 | + | 0.0249034i | ||||
\(352\) | 2.63219 | + | 4.55909i | 0.140296 | + | 0.243001i | ||||
\(353\) | −8.35199 | − | 27.8976i | −0.444532 | − | 1.48484i | −0.827705 | − | 0.561163i | \(-0.810354\pi\) |
0.383173 | − | 0.923676i | \(-0.374831\pi\) | |||||||
\(354\) | 17.3880 | + | 11.2718i | 0.924162 | + | 0.599089i | ||||
\(355\) | 8.06884 | − | 5.30696i | 0.428249 | − | 0.281664i | ||||
\(356\) | 0.309438 | − | 0.415648i | 0.0164002 | − | 0.0220293i | ||||
\(357\) | −4.23451 | − | 9.64041i | −0.224114 | − | 0.510225i | ||||
\(358\) | 20.9157 | + | 13.7565i | 1.10543 | + | 0.727052i | ||||
\(359\) | 14.6096 | − | 5.31744i | 0.771063 | − | 0.280644i | 0.0736220 | − | 0.997286i | \(-0.476544\pi\) |
0.697441 | + | 0.716642i | \(0.254322\pi\) | |||||||
\(360\) | 3.36307 | + | 10.7141i | 0.177249 | + | 0.564684i | ||||
\(361\) | 15.2915 | + | 5.56563i | 0.804813 | + | 0.292928i | ||||
\(362\) | −9.41339 | − | 12.6444i | −0.494757 | − | 0.664574i | ||||
\(363\) | 14.6405 | + | 24.9741i | 0.768427 | + | 1.31080i | ||||
\(364\) | −0.520103 | − | 0.551277i | −0.0272608 | − | 0.0288948i | ||||
\(365\) | 14.3731 | + | 15.2345i | 0.752320 | + | 0.797413i | ||||
\(366\) | 1.86397 | + | 3.17961i | 0.0974314 | + | 0.166201i | ||||
\(367\) | −5.51820 | − | 7.41223i | −0.288048 | − | 0.386915i | 0.634421 | − | 0.772988i | \(-0.281239\pi\) |
−0.922468 | + | 0.386073i | \(0.873831\pi\) | |||||||
\(368\) | 8.21885 | + | 2.99142i | 0.428437 | + | 0.155938i | ||||
\(369\) | 4.49348 | + | 14.3154i | 0.233921 | + | 0.745231i | ||||
\(370\) | −19.2949 | + | 7.02276i | −1.00309 | + | 0.365096i | ||||
\(371\) | 14.7928 | + | 9.72936i | 0.768002 | + | 0.505123i | ||||
\(372\) | −3.97837 | − | 9.05727i | −0.206269 | − | 0.469598i | ||||
\(373\) | 20.1084 | − | 27.0103i | 1.04117 | − | 1.39854i | 0.127619 | − | 0.991823i | \(-0.459266\pi\) |
0.913555 | − | 0.406716i | \(-0.133326\pi\) | |||||||
\(374\) | −7.35089 | + | 4.83476i | −0.380106 | + | 0.249999i | ||||
\(375\) | 21.8233 | + | 14.1470i | 1.12695 | + | 0.730546i | ||||
\(376\) | −1.55997 | − | 5.21066i | −0.0804493 | − | 0.268719i | ||||
\(377\) | −0.0785012 | − | 0.135968i | −0.00404302 | − | 0.00700271i | ||||
\(378\) | 15.5814 | − | 10.6981i | 0.801421 | − | 0.550251i | ||||
\(379\) | 0.117576 | − | 0.203648i | 0.00603950 | − | 0.0104607i | −0.862990 | − | 0.505221i | \(-0.831411\pi\) |
0.869029 | + | 0.494761i | \(0.164744\pi\) | |||||||
\(380\) | 6.01493 | + | 1.42556i | 0.308559 | + | 0.0731299i | ||||
\(381\) | −31.5396 | + | 3.89864i | −1.61582 | + | 0.199733i | ||||
\(382\) | −1.19101 | − | 0.598146i | −0.0609372 | − | 0.0306038i | ||||
\(383\) | 5.82441 | + | 13.5025i | 0.297614 | + | 0.689946i | 0.999756 | − | 0.0220908i | \(-0.00703228\pi\) |
−0.702142 | + | 0.712037i | \(0.747773\pi\) | |||||||
\(384\) | −1.19693 | − | 1.25194i | −0.0610808 | − | 0.0638877i | ||||
\(385\) | 4.16766 | − | 71.5559i | 0.212403 | − | 3.64683i | ||||
\(386\) | −2.32334 | + | 13.1763i | −0.118255 | + | 0.670656i | ||||
\(387\) | −0.586464 | − | 3.08607i | −0.0298116 | − | 0.156874i | ||||
\(388\) | −0.323118 | − | 1.83249i | −0.0164038 | − | 0.0930308i | ||||
\(389\) | −21.2249 | + | 2.48083i | −1.07614 | + | 0.125783i | −0.635654 | − | 0.771974i | \(-0.719269\pi\) |
−0.440490 | + | 0.897757i | \(0.645195\pi\) | |||||||
\(390\) | −1.02907 | + | 0.875184i | −0.0521088 | + | 0.0443167i | ||||
\(391\) | −4.19239 | + | 14.0035i | −0.212018 | + | 0.708190i | ||||
\(392\) | −6.06277 | + | 1.43690i | −0.306216 | + | 0.0725746i | ||||
\(393\) | 0.322075 | − | 0.119651i | 0.0162465 | − | 0.00603557i | ||||
\(394\) | −10.4139 | + | 24.1421i | −0.524644 | + | 1.21626i | ||||
\(395\) | −12.4096 | + | 10.4129i | −0.624394 | + | 0.523929i | ||||
\(396\) | −10.9893 | − | 11.3428i | −0.552235 | − | 0.569996i | ||||
\(397\) | −17.7928 | − | 14.9299i | −0.892995 | − | 0.749311i | 0.0758139 | − | 0.997122i | \(-0.475845\pi\) |
−0.968809 | + | 0.247811i | \(0.920289\pi\) | |||||||
\(398\) | −2.07323 | + | 1.04122i | −0.103922 | + | 0.0521914i | ||||
\(399\) | −0.673818 | − | 10.3824i | −0.0337331 | − | 0.519768i | ||||
\(400\) | −8.95048 | − | 1.04616i | −0.447524 | − | 0.0523081i | ||||
\(401\) | −0.933075 | − | 16.0203i | −0.0465955 | − | 0.800014i | −0.937964 | − | 0.346734i | \(-0.887291\pi\) |
0.891368 | − | 0.453280i | \(-0.149746\pi\) | |||||||
\(402\) | 3.17255 | + | 10.3468i | 0.158232 | + | 0.516052i | ||||
\(403\) | 0.816664 | − | 0.865613i | 0.0406809 | − | 0.0431193i | ||||
\(404\) | −11.5023 | −0.572261 | ||||||||
\(405\) | −17.6122 | − | 28.7182i | −0.875159 | − | 1.42702i | ||||
\(406\) | −2.74080 | −0.136024 | ||||||||
\(407\) | 19.8171 | − | 21.0049i | 0.982298 | − | 1.04117i | ||||
\(408\) | 1.97250 | − | 2.11870i | 0.0976532 | − | 0.104891i | ||||
\(409\) | −0.205707 | − | 3.53186i | −0.0101716 | − | 0.174639i | −0.999568 | − | 0.0293976i | \(-0.990641\pi\) |
0.989396 | − | 0.145242i | \(-0.0463959\pi\) | |||||||
\(410\) | −18.5944 | − | 2.17338i | −0.918313 | − | 0.107335i | ||||
\(411\) | 6.86186 | + | 3.38936i | 0.338471 | + | 0.167185i | ||||
\(412\) | −13.2832 | + | 6.67106i | −0.654415 | + | 0.328659i | ||||
\(413\) | 33.3360 | + | 27.9723i | 1.64036 | + | 1.37642i | ||||
\(414\) | −26.0996 | − | 2.70023i | −1.28273 | − | 0.132709i | ||||
\(415\) | 40.9964 | − | 34.4000i | 2.01243 | − | 1.68863i | ||||
\(416\) | 0.0825284 | − | 0.191322i | 0.00404629 | − | 0.00938035i | ||||
\(417\) | 1.64893 | + | 1.36509i | 0.0807485 | + | 0.0668485i | ||||
\(418\) | −8.45935 | + | 2.00490i | −0.413761 | + | 0.0980630i | ||||
\(419\) | 8.97055 | − | 29.9637i | 0.438240 | − | 1.46382i | −0.398981 | − | 0.916959i | \(-0.630636\pi\) |
0.837221 | − | 0.546865i | \(-0.184179\pi\) | |||||||
\(420\) | 4.24902 | + | 23.1968i | 0.207331 | + | 1.13189i | ||||
\(421\) | −17.7199 | + | 2.07115i | −0.863613 | + | 0.100942i | −0.536354 | − | 0.843993i | \(-0.680199\pi\) |
−0.327259 | + | 0.944935i | \(0.606125\pi\) | |||||||
\(422\) | 1.69663 | + | 9.62208i | 0.0825907 | + | 0.468395i | ||||
\(423\) | 8.34546 | + | 14.0219i | 0.405770 | + | 0.681769i | ||||
\(424\) | −0.845255 | + | 4.79368i | −0.0410492 | + | 0.232802i | ||||
\(425\) | 0.875701 | − | 15.0352i | 0.0424778 | − | 0.729315i | ||||
\(426\) | 1.25325 | − | 4.28947i | 0.0607200 | − | 0.207825i | ||||
\(427\) | 3.06572 | + | 7.10714i | 0.148361 | + | 0.343939i | ||||
\(428\) | −2.28657 | − | 1.14836i | −0.110526 | − | 0.0555081i | ||||
\(429\) | 0.740924 | − | 1.74947i | 0.0357721 | − | 0.0844650i | ||||
\(430\) | 3.81384 | + | 0.903896i | 0.183920 | + | 0.0435898i | ||||
\(431\) | −9.13617 | + | 15.8243i | −0.440074 | + | 0.762230i | −0.997694 | − | 0.0678655i | \(-0.978381\pi\) |
0.557621 | + | 0.830096i | \(0.311714\pi\) | |||||||
\(432\) | 4.39727 | + | 2.76840i | 0.211564 | + | 0.133195i | ||||
\(433\) | 14.1667 | + | 24.5374i | 0.680806 | + | 1.17919i | 0.974735 | + | 0.223363i | \(0.0717037\pi\) |
−0.293929 | + | 0.955827i | \(0.594963\pi\) | |||||||
\(434\) | −5.95829 | − | 19.9021i | −0.286007 | − | 0.955330i | ||||
\(435\) | −0.251703 | + | 4.87876i | −0.0120682 | + | 0.233919i | ||||
\(436\) | −8.99976 | + | 5.91923i | −0.431010 | + | 0.283480i | ||||
\(437\) | −8.62524 | + | 11.5857i | −0.412601 | + | 0.554220i | ||||
\(438\) | 9.63323 | + | 1.06125i | 0.460294 | + | 0.0507087i | ||||
\(439\) | −2.64602 | − | 1.74031i | −0.126287 | − | 0.0830605i | 0.484794 | − | 0.874629i | \(-0.338895\pi\) |
−0.611081 | + | 0.791568i | \(0.709265\pi\) | |||||||
\(440\) | 18.5172 | − | 6.73970i | 0.882772 | − | 0.321303i | ||||
\(441\) | 16.5912 | − | 8.60984i | 0.790057 | − | 0.409992i | ||||
\(442\) | 0.327234 | + | 0.119103i | 0.0155649 | + | 0.00566518i | ||||
\(443\) | −19.0944 | − | 25.6482i | −0.907200 | − | 1.21858i | −0.975296 | − | 0.220903i | \(-0.929100\pi\) |
0.0680955 | − | 0.997679i | \(-0.478308\pi\) | |||||||
\(444\) | −4.69590 | + | 8.25956i | −0.222858 | + | 0.391981i | ||||
\(445\) | −1.33107 | − | 1.41086i | −0.0630990 | − | 0.0668810i | ||||
\(446\) | 4.01799 | + | 4.25882i | 0.190257 | + | 0.201661i | ||||
\(447\) | −13.9577 | + | 0.0925653i | −0.660175 | + | 0.00437819i | ||||
\(448\) | −2.17211 | − | 2.91765i | −0.102622 | − | 0.137846i | ||||
\(449\) | −2.30646 | − | 0.839483i | −0.108849 | − | 0.0396177i | 0.287022 | − | 0.957924i | \(-0.407335\pi\) |
−0.395870 | + | 0.918306i | \(0.629557\pi\) | |||||||
\(450\) | 26.8075 | − | 3.49434i | 1.26372 | − | 0.164725i | ||||
\(451\) | 24.7413 | − | 9.00508i | 1.16502 | − | 0.424033i | ||||
\(452\) | 10.3112 | + | 6.78176i | 0.484996 | + | 0.318987i | ||||
\(453\) | −7.62635 | + | 10.3871i | −0.358317 | + | 0.488027i | ||||
\(454\) | −4.49716 | + | 6.04073i | −0.211062 | + | 0.283506i | ||||
\(455\) | −2.37025 | + | 1.55894i | −0.111119 | + | 0.0730841i | ||||
\(456\) | 2.54752 | − | 1.30064i | 0.119299 | − | 0.0609080i | ||||
\(457\) | 6.35184 | + | 21.2166i | 0.297126 | + | 0.992471i | 0.968011 | + | 0.250909i | \(0.0807295\pi\) |
−0.670884 | + | 0.741562i | \(0.734085\pi\) | |||||||
\(458\) | 5.64670 | + | 9.78037i | 0.263853 | + | 0.457007i | ||||
\(459\) | −4.19166 | + | 7.60570i | −0.195650 | + | 0.355004i | ||||
\(460\) | 16.3695 | − | 28.3529i | 0.763233 | − | 1.32196i | ||||
\(461\) | 8.12571 | + | 1.92583i | 0.378452 | + | 0.0896948i | 0.415439 | − | 0.909621i | \(-0.363628\pi\) |
−0.0369870 | + | 0.999316i | \(0.511776\pi\) | |||||||
\(462\) | −19.9817 | − | 26.4717i | −0.929632 | − | 1.23158i | ||||
\(463\) | −21.8558 | − | 10.9764i | −1.01572 | − | 0.510116i | −0.138585 | − | 0.990351i | \(-0.544255\pi\) |
−0.877140 | + | 0.480235i | \(0.840552\pi\) | |||||||
\(464\) | −0.298448 | − | 0.691879i | −0.0138551 | − | 0.0321197i | ||||
\(465\) | −35.9739 | + | 8.77834i | −1.66825 | + | 0.407086i | ||||
\(466\) | 0.442192 | − | 7.59214i | 0.0204841 | − | 0.351699i | ||||
\(467\) | −4.93682 | + | 27.9981i | −0.228449 | + | 1.29560i | 0.627533 | + | 0.778590i | \(0.284065\pi\) |
−0.855982 | + | 0.517006i | \(0.827046\pi\) | |||||||
\(468\) | −0.100371 | + | 0.616978i | −0.00463967 | + | 0.0285198i | ||||
\(469\) | 3.94657 | + | 22.3821i | 0.182236 | + | 1.03351i | ||||
\(470\) | −20.2221 | + | 2.36363i | −0.932777 | + | 0.109026i | ||||
\(471\) | −32.1689 | − | 11.4675i | −1.48226 | − | 0.528394i | ||||
\(472\) | −3.43125 | + | 11.4612i | −0.157936 | + | 0.527543i | ||||
\(473\) | −5.36376 | + | 1.27123i | −0.246626 | + | 0.0584514i | ||||
\(474\) | −1.25266 | + | 7.39047i | −0.0575367 | + | 0.339456i | ||||
\(475\) | 5.89430 | − | 13.6645i | 0.270449 | − | 0.626971i | ||||
\(476\) | 4.65691 | − | 3.90761i | 0.213449 | − | 0.179105i | ||||
\(477\) | −1.04236 | − | 14.5656i | −0.0477264 | − | 0.666915i | ||||
\(478\) | 14.6350 | + | 12.2802i | 0.669390 | + | 0.561685i | ||||
\(479\) | 14.1368 | − | 7.09975i | 0.645926 | − | 0.324396i | −0.0955017 | − | 0.995429i | \(-0.530446\pi\) |
0.741427 | + | 0.671033i | \(0.234149\pi\) | |||||||
\(480\) | −5.39304 | + | 3.59852i | −0.246158 | + | 0.164249i | ||||
\(481\) | −1.13525 | − | 0.132691i | −0.0517627 | − | 0.00605020i | ||||
\(482\) | −0.376586 | − | 6.46573i | −0.0171530 | − | 0.294506i | ||||
\(483\) | −53.7011 | − | 12.3518i | −2.44348 | − | 0.562028i | ||||
\(484\) | −11.4697 | + | 12.1572i | −0.521350 | + | 0.552598i | ||||
\(485\) | −6.96518 | −0.316272 | ||||||||
\(486\) | −14.8171 | − | 4.84300i | −0.672116 | − | 0.219683i | ||||
\(487\) | 9.74171 | 0.441439 | 0.220720 | − | 0.975337i | \(-0.429159\pi\) | ||||
0.220720 | + | 0.975337i | \(0.429159\pi\) | |||||||
\(488\) | −1.46028 | + | 1.54780i | −0.0661037 | + | 0.0700658i | ||||
\(489\) | −12.2385 | − | 2.81499i | −0.553445 | − | 0.127298i | ||||
\(490\) | 1.35610 | + | 23.2833i | 0.0612622 | + | 1.05183i | ||||
\(491\) | 5.97315 | + | 0.698161i | 0.269565 | + | 0.0315076i | 0.249801 | − | 0.968297i | \(-0.419635\pi\) |
0.0197632 | + | 0.999805i | \(0.493709\pi\) | |||||||
\(492\) | −7.20578 | + | 4.80807i | −0.324862 | + | 0.216765i | ||||
\(493\) | 1.12537 | − | 0.565183i | 0.0506842 | − | 0.0254546i | ||||
\(494\) | 0.263591 | + | 0.221179i | 0.0118595 | + | 0.00995133i | ||||
\(495\) | −48.9561 | + | 33.1374i | −2.20041 | + | 1.48941i | ||||
\(496\) | 4.37522 | − | 3.67124i | 0.196453 | − | 0.164844i | ||||
\(497\) | 3.71710 | − | 8.61721i | 0.166735 | − | 0.386535i | ||||
\(498\) | 4.13830 | − | 24.4152i | 0.185442 | − | 1.09407i | ||||
\(499\) | 9.43087 | − | 2.23516i | 0.422184 | − | 0.100059i | −0.0140319 | − | 0.999902i | \(-0.504467\pi\) |
0.436216 | + | 0.899842i | \(0.356318\pi\) | |||||||
\(500\) | −4.30648 | + | 14.3847i | −0.192592 | + | 0.643301i | ||||
\(501\) | −30.7292 | − | 10.9543i | −1.37288 | − | 0.489400i | ||||
\(502\) | −7.79314 | + | 0.910887i | −0.347825 | + | 0.0406549i | ||||
\(503\) | −6.11251 | − | 34.6658i | −0.272543 | − | 1.54567i | −0.746659 | − | 0.665207i | \(-0.768343\pi\) |
0.474116 | − | 0.880463i | \(-0.342768\pi\) | |||||||
\(504\) | 8.45154 | + | 6.90275i | 0.376461 | + | 0.307473i | ||||
\(505\) | −7.47647 | + | 42.4011i | −0.332698 | + | 1.88683i | ||||
\(506\) | −2.67722 | + | 45.9661i | −0.119017 | + | 2.04344i | ||||
\(507\) | 21.8017 | − | 5.32006i | 0.968250 | − | 0.236272i | ||||
\(508\) | −7.26726 | − | 16.8474i | −0.322433 | − | 0.747483i | ||||
\(509\) | 16.0863 | + | 8.07886i | 0.713014 | + | 0.358089i | 0.768045 | − | 0.640396i | \(-0.221230\pi\) |
−0.0550313 | + | 0.998485i | \(0.517526\pi\) | |||||||
\(510\) | −6.52808 | − | 8.64840i | −0.289068 | − | 0.382957i | ||||
\(511\) | 19.8041 | + | 4.69366i | 0.876083 | + | 0.207635i | ||||
\(512\) | 0.500000 | − | 0.866025i | 0.0220971 | − | 0.0382733i | ||||
\(513\) | −6.46240 | + | 5.64545i | −0.285322 | + | 0.249253i | ||||
\(514\) | −5.78033 | − | 10.0118i | −0.254960 | − | 0.441603i | ||||
\(515\) | 15.9576 | + | 53.3021i | 0.703176 | + | 2.34877i | ||||
\(516\) | 1.61529 | − | 0.824687i | 0.0711090 | − | 0.0363048i | ||||
\(517\) | 23.9233 | − | 15.7346i | 1.05214 | − | 0.692006i | ||||
\(518\) | −11.9151 | + | 16.0047i | −0.523518 | + | 0.703207i | ||||
\(519\) | −4.73015 | + | 6.44245i | −0.207631 | + | 0.282792i | ||||
\(520\) | −0.651631 | − | 0.428585i | −0.0285759 | − | 0.0187947i | ||||
\(521\) | −4.14562 | + | 1.50888i | −0.181623 | + | 0.0661054i | −0.431231 | − | 0.902242i | \(-0.641921\pi\) |
0.249608 | + | 0.968347i | \(0.419698\pi\) | |||||||
\(522\) | 1.37381 | + | 1.79514i | 0.0601302 | + | 0.0785714i | ||||
\(523\) | −33.2656 | − | 12.1077i | −1.45460 | − | 0.529432i | −0.510730 | − | 0.859741i | \(-0.670625\pi\) |
−0.943873 | + | 0.330309i | \(0.892847\pi\) | |||||||
\(524\) | 0.118457 | + | 0.159115i | 0.00517481 | + | 0.00695097i | ||||
\(525\) | 56.7722 | − | 0.376506i | 2.47774 | − | 0.0164321i | ||||
\(526\) | −4.94579 | − | 5.24223i | −0.215646 | − | 0.228572i | ||||
\(527\) | 6.55050 | + | 6.94313i | 0.285344 | + | 0.302447i | ||||
\(528\) | 4.50663 | − | 7.92664i | 0.196126 | − | 0.344963i | ||||
\(529\) | 31.9468 | + | 42.9120i | 1.38899 | + | 1.86574i | ||||
\(530\) | 17.1216 | + | 6.23175i | 0.743715 | + | 0.270690i | ||||
\(531\) | 1.61149 | − | 35.8551i | 0.0699325 | − | 1.55598i | ||||
\(532\) | 5.64461 | − | 2.05447i | 0.244725 | − | 0.0890726i | ||||
\(533\) | −0.870661 | − | 0.572643i | −0.0377125 | − | 0.0248039i | ||||
\(534\) | −0.892124 | − | 0.0982817i | −0.0386060 | − | 0.00425307i | ||||
\(535\) | −5.71948 | + | 7.68260i | −0.247275 | + | 0.332148i | ||||
\(536\) | −5.22033 | + | 3.43346i | −0.225484 | + | 0.148303i | ||||
\(537\) | 2.23406 | − | 43.3028i | 0.0964067 | − | 1.86865i | ||||
\(538\) | −6.21598 | − | 20.7628i | −0.267990 | − | 0.895148i | ||||
\(539\) | −16.4005 | − | 28.4064i | −0.706418 | − | 1.22355i | ||||
\(540\) | 13.0634 | − | 14.4103i | 0.562160 | − | 0.620119i | ||||
\(541\) | −12.5590 | + | 21.7529i | −0.539955 | + | 0.935229i | 0.458951 | + | 0.888462i | \(0.348225\pi\) |
−0.998906 | + | 0.0467676i | \(0.985108\pi\) | |||||||
\(542\) | 20.8707 | + | 4.94645i | 0.896474 | + | 0.212468i | ||||
\(543\) | −10.6478 | + | 25.1416i | −0.456942 | + | 1.07893i | ||||
\(544\) | 1.49352 | + | 0.750074i | 0.0640341 | + | 0.0321591i | ||||
\(545\) | 15.9704 | + | 37.0234i | 0.684095 | + | 1.58591i | ||||
\(546\) | −0.368145 | + | 1.26004i | −0.0157552 | + | 0.0539249i | ||||
\(547\) | −0.00653029 | + | 0.112121i | −0.000279215 | + | 0.00479394i | −0.998445 | − | 0.0557477i | \(-0.982246\pi\) |
0.998166 | + | 0.0605416i | \(0.0192828\pi\) | |||||||
\(548\) | −0.767287 | + | 4.35150i | −0.0327769 | + | 0.185887i | ||||
\(549\) | 3.11830 | − | 5.57039i | 0.133086 | − | 0.237738i | ||||
\(550\) | −8.23780 | − | 46.7189i | −0.351261 | − | 1.99210i | ||||
\(551\) | 1.23593 | − | 0.144460i | 0.0526526 | − | 0.00615420i | ||||
\(552\) | −2.72949 | − | 14.9011i | −0.116175 | − | 0.634235i | ||||
\(553\) | −4.51480 | + | 15.0805i | −0.191989 | + | 0.641287i | ||||
\(554\) | −11.6978 | + | 2.77242i | −0.496990 | + | 0.117789i | ||||
\(555\) | 27.3950 | + | 22.6793i | 1.16285 | + | 0.962681i | ||||
\(556\) | −0.489520 | + | 1.13483i | −0.0207603 | + | 0.0481277i | ||||
\(557\) | 25.6731 | − | 21.5423i | 1.08780 | − | 0.912775i | 0.0912573 | − | 0.995827i | \(-0.470911\pi\) |
0.996545 | + | 0.0830527i | \(0.0264670\pi\) | |||||||
\(558\) | −10.0487 | + | 13.8783i | −0.425396 | + | 0.587517i | ||||
\(559\) | 0.167133 | + | 0.140242i | 0.00706899 | + | 0.00593159i | ||||
\(560\) | −12.1672 | + | 6.11061i | −0.514159 | + | 0.258221i | ||||
\(561\) | 13.6633 | + | 6.74885i | 0.576863 | + | 0.284937i | ||||
\(562\) | −9.21194 | − | 1.07672i | −0.388582 | − | 0.0454187i | ||||
\(563\) | −2.65296 | − | 45.5495i | −0.111809 | − | 1.91968i | −0.330357 | − | 0.943856i | \(-0.607169\pi\) |
0.218549 | − | 0.975826i | \(-0.429868\pi\) | |||||||
\(564\) | −6.41944 | + | 6.89525i | −0.270307 | + | 0.290342i | ||||
\(565\) | 31.7019 | − | 33.6021i | 1.33371 | − | 1.41365i | ||||
\(566\) | 23.8697 | 1.00332 | ||||||||
\(567\) | −29.6339 | − | 13.9111i | −1.24451 | − | 0.584210i | ||||
\(568\) | 2.58006 | 0.108257 | ||||||||
\(569\) | 3.01473 | − | 3.19543i | 0.126384 | − | 0.133959i | −0.661091 | − | 0.750306i | \(-0.729906\pi\) |
0.787475 | + | 0.616346i | \(0.211388\pi\) | |||||||
\(570\) | −3.13869 | − | 10.2364i | −0.131465 | − | 0.428755i | ||||
\(571\) | −2.32506 | − | 39.9197i | −0.0973006 | − | 1.67059i | −0.595371 | − | 0.803451i | \(-0.702995\pi\) |
0.498071 | − | 0.867136i | \(-0.334042\pi\) | |||||||
\(572\) | 1.08949 | + | 0.127343i | 0.0455538 | + | 0.00532447i | ||||
\(573\) | 0.149503 | + | 2.30358i | 0.00624558 | + | 0.0962334i | ||||
\(574\) | −16.2569 | + | 8.16455i | −0.678552 | + | 0.340782i | ||||
\(575\) | −60.3771 | − | 50.6624i | −2.51790 | − | 2.11277i | ||||
\(576\) | −0.822216 | + | 2.88513i | −0.0342590 | + | 0.120214i | ||||
\(577\) | −3.85975 | + | 3.23872i | −0.160684 | + | 0.134830i | −0.719584 | − | 0.694405i | \(-0.755668\pi\) |
0.558901 | + | 0.829234i | \(0.311223\pi\) | |||||||
\(578\) | 5.62702 | − | 13.0449i | 0.234053 | − | 0.542596i | ||||
\(579\) | 21.7235 | − | 8.07025i | 0.902797 | − | 0.335388i | ||||
\(580\) | −2.74447 | + | 0.650452i | −0.113958 | + | 0.0270086i | ||||
\(581\) | 14.9151 | − | 49.8199i | 0.618783 | − | 2.06688i | ||||
\(582\) | −2.45512 | + | 2.08799i | −0.101768 | + | 0.0865500i | ||||
\(583\) | −25.4518 | + | 2.97489i | −1.05411 | + | 0.123207i | ||||
\(584\) | 0.971631 | + | 5.51039i | 0.0402064 | + | 0.228022i | ||||
\(585\) | 2.20914 | + | 0.771035i | 0.0913365 | + | 0.0318784i | ||||
\(586\) | −2.37293 | + | 13.4576i | −0.0980250 | + | 0.555927i | ||||
\(587\) | −1.27552 | + | 21.8998i | −0.0526463 | + | 0.903902i | 0.863823 | + | 0.503796i | \(0.168064\pi\) |
−0.916469 | + | 0.400106i | \(0.868973\pi\) | |||||||
\(588\) | 7.45776 | + | 7.80048i | 0.307553 | + | 0.321686i | ||||
\(589\) | 3.73581 | + | 8.66058i | 0.153931 | + | 0.356853i | ||||
\(590\) | 40.0192 | + | 20.0984i | 1.64756 | + | 0.827438i | ||||
\(591\) | 45.1958 | − | 5.58669i | 1.85911 | − | 0.229806i | ||||
\(592\) | −5.33763 | − | 1.26504i | −0.219375 | − | 0.0519929i | ||||
\(593\) | 4.13250 | − | 7.15770i | 0.169701 | − | 0.293931i | −0.768614 | − | 0.639713i | \(-0.779053\pi\) |
0.938315 | + | 0.345782i | \(0.112386\pi\) | |||||||
\(594\) | −7.32249 | + | 26.3563i | −0.300446 | + | 1.08141i | ||||
\(595\) | −11.3777 | − | 19.7068i | −0.466441 | − | 0.807899i | ||||
\(596\) | −2.31124 | − | 7.72009i | −0.0946722 | − | 0.316227i | ||||
\(597\) | 3.37186 | + | 2.18581i | 0.138001 | + | 0.0894594i | ||||
\(598\) | 1.52260 | − | 1.00143i | 0.0622638 | − | 0.0409515i | ||||
\(599\) | −8.18252 | + | 10.9910i | −0.334329 | + | 0.449081i | −0.937218 | − | 0.348743i | \(-0.886609\pi\) |
0.602890 | + | 0.797825i | \(0.294016\pi\) | |||||||
\(600\) | 6.27701 | + | 14.2904i | 0.256258 | + | 0.583404i | ||||
\(601\) | 26.4263 | + | 17.3809i | 1.07795 | + | 0.708980i | 0.958853 | − | 0.283902i | \(-0.0916292\pi\) |
0.119098 | + | 0.992882i | \(0.462000\pi\) | |||||||
\(602\) | 3.57904 | − | 1.30266i | 0.145871 | − | 0.0530926i | ||||
\(603\) | 12.6814 | − | 13.8038i | 0.516428 | − | 0.562135i | ||||
\(604\) | −6.99114 | − | 2.54457i | −0.284465 | − | 0.103537i | ||||
\(605\) | 37.3599 | + | 50.1830i | 1.51889 | + | 2.04023i | ||||
\(606\) | 10.0755 | + | 17.1870i | 0.409289 | + | 0.698175i | ||||
\(607\) | −0.851718 | − | 0.902768i | −0.0345702 | − | 0.0366422i | 0.709858 | − | 0.704345i | \(-0.248759\pi\) |
−0.744428 | + | 0.667703i | \(0.767278\pi\) | |||||||
\(608\) | 1.13327 | + | 1.20120i | 0.0459602 | + | 0.0487149i | ||||
\(609\) | 2.40081 | + | 4.09537i | 0.0972859 | + | 0.165953i | ||||
\(610\) | 4.75652 | + | 6.38911i | 0.192586 | + | 0.258688i | ||||
\(611\) | −1.06497 | − | 0.387619i | −0.0430842 | − | 0.0156814i | ||||
\(612\) | −4.89363 | − | 1.09147i | −0.197813 | − | 0.0441200i | ||||
\(613\) | −30.1068 | + | 10.9580i | −1.21600 | + | 0.442589i | −0.868782 | − | 0.495195i | \(-0.835097\pi\) |
−0.347221 | + | 0.937783i | \(0.612875\pi\) | |||||||
\(614\) | −11.2705 | − | 7.41270i | −0.454839 | − | 0.299152i | ||||
\(615\) | 13.0403 | + | 29.6880i | 0.525837 | + | 1.19714i | ||||
\(616\) | 11.4348 | − | 15.3596i | 0.460722 | − | 0.618857i | ||||
\(617\) | −6.97735 | + | 4.58907i | −0.280897 | + | 0.184749i | −0.682138 | − | 0.731224i | \(-0.738950\pi\) |
0.401240 | + | 0.915973i | \(0.368579\pi\) | |||||||
\(618\) | 21.6035 | + | 14.0045i | 0.869020 | + | 0.563343i | ||||
\(619\) | −7.76825 | − | 25.9478i | −0.312232 | − | 1.04293i | −0.959745 | − | 0.280874i | \(-0.909376\pi\) |
0.647512 | − | 0.762055i | \(-0.275809\pi\) | |||||||
\(620\) | −10.6895 | − | 18.5147i | −0.429300 | − | 0.743569i | ||||
\(621\) | 18.8273 | + | 41.3640i | 0.755515 | + | 1.65988i | ||||
\(622\) | −2.95334 | + | 5.11534i | −0.118418 | + | 0.205107i | ||||
\(623\) | −1.83404 | − | 0.434676i | −0.0734793 | − | 0.0174149i | ||||
\(624\) | −0.358170 | + | 0.0442737i | −0.0143383 | + | 0.00177237i | ||||
\(625\) | 9.96269 | + | 5.00345i | 0.398508 | + | 0.200138i | ||||
\(626\) | −3.49181 | − | 8.09493i | −0.139561 | − | 0.323538i | ||||
\(627\) | 10.4058 | + | 10.8840i | 0.415567 | + | 0.434664i | ||||
\(628\) | 1.14647 | − | 19.6841i | 0.0457492 | − | 0.785483i | ||||
\(629\) | 1.59198 | − | 9.02857i | 0.0634764 | − | 0.359992i | ||||
\(630\) | 30.9392 | − | 26.6683i | 1.23265 | − | 1.06249i | ||||
\(631\) | 3.72186 | + | 21.1077i | 0.148165 | + | 0.840284i | 0.964771 | + | 0.263089i | \(0.0847414\pi\) |
−0.816607 | + | 0.577194i | \(0.804147\pi\) | |||||||
\(632\) | −4.29849 | + | 0.502421i | −0.170985 | + | 0.0199852i | ||||
\(633\) | 12.8914 | − | 10.9636i | 0.512386 | − | 0.435766i | ||||
\(634\) | −2.09512 | + | 6.99818i | −0.0832078 | + | 0.277933i | ||||
\(635\) | −66.8285 | + | 15.8387i | −2.65201 | + | 0.628538i | ||||
\(636\) | 7.90324 | − | 2.93604i | 0.313384 | − | 0.116422i | ||||
\(637\) | −0.514212 | + | 1.19208i | −0.0203738 | + | 0.0472318i | ||||
\(638\) | 3.03870 | − | 2.54977i | 0.120303 | − | 0.100946i | ||||
\(639\) | −7.50721 | + | 1.88474i | −0.296981 | + | 0.0745593i | ||||
\(640\) | −2.86744 | − | 2.40607i | −0.113346 | − | 0.0951083i | ||||
\(641\) | −14.0757 | + | 7.06906i | −0.555955 | + | 0.279211i | −0.704511 | − | 0.709693i | \(-0.748834\pi\) |
0.148556 | + | 0.988904i | \(0.452537\pi\) | |||||||
\(642\) | 0.287026 | + | 4.42256i | 0.0113280 | + | 0.174545i | ||||
\(643\) | 44.1265 | + | 5.15764i | 1.74018 | + | 0.203398i | 0.926079 | − | 0.377329i | \(-0.123157\pi\) |
0.814099 | + | 0.580726i | \(0.197231\pi\) | |||||||
\(644\) | −1.84981 | − | 31.7601i | −0.0728929 | − | 1.25152i | ||||
\(645\) | −1.99012 | − | 6.49050i | −0.0783610 | − | 0.255563i | ||||
\(646\) | −1.89402 | + | 2.00755i | −0.0745194 | + | 0.0789859i | ||||
\(647\) | 18.9018 | 0.743108 | 0.371554 | − | 0.928411i | \(-0.378825\pi\) | ||||
0.371554 | + | 0.928411i | \(0.378825\pi\) | |||||||
\(648\) | 0.284808 | − | 8.99549i | 0.0111883 | − | 0.353376i | ||||
\(649\) | −62.9820 | −2.47226 | ||||||||
\(650\) | −1.28852 | + | 1.36575i | −0.0505399 | + | 0.0535691i | ||||
\(651\) | −24.5190 | + | 26.3363i | −0.960974 | + | 1.03220i | ||||
\(652\) | −0.421574 | − | 7.23815i | −0.0165101 | − | 0.283468i | ||||
\(653\) | 19.0339 | + | 2.22475i | 0.744856 | + | 0.0870611i | 0.480051 | − | 0.877241i | \(-0.340618\pi\) |
0.264805 | + | 0.964302i | \(0.414692\pi\) | |||||||
\(654\) | 16.7280 | + | 8.26268i | 0.654118 | + | 0.323096i | ||||
\(655\) | 0.663544 | − | 0.333245i | 0.0259268 | − | 0.0130209i | ||||
\(656\) | −3.83126 | − | 3.21481i | −0.149586 | − | 0.125517i | ||||
\(657\) | −6.85252 | − | 15.3238i | −0.267342 | − | 0.597839i | ||||
\(658\) | −15.1558 | + | 12.7172i | −0.590833 | + | 0.495768i | ||||
\(659\) | 0.654481 | − | 1.51726i | 0.0254950 | − | 0.0591040i | −0.904993 | − | 0.425427i | \(-0.860124\pi\) |
0.930488 | + | 0.366323i | \(0.119383\pi\) | |||||||
\(660\) | −26.2908 | − | 21.7651i | −1.02337 | − | 0.847207i | ||||
\(661\) | −41.3076 | + | 9.79007i | −1.60668 | + | 0.380790i | −0.933468 | − | 0.358661i | \(-0.883233\pi\) |
−0.673211 | + | 0.739451i | \(0.735085\pi\) | |||||||
\(662\) | −9.18443 | + | 30.6781i | −0.356963 | + | 1.19234i | ||||
\(663\) | −0.108675 | − | 0.593290i | −0.00422058 | − | 0.0230415i | ||||
\(664\) | 14.2005 | − | 1.65980i | 0.551086 | − | 0.0644128i | ||||
\(665\) | −3.90445 | − | 22.1432i | −0.151408 | − | 0.858677i | ||||
\(666\) | 16.4550 | − | 0.218265i | 0.637619 | − | 0.00845758i | ||||
\(667\) | 1.14441 | − | 6.49026i | 0.0443116 | − | 0.251304i | ||||
\(668\) | 1.09516 | − | 18.8032i | 0.0423730 | − | 0.727517i | ||||
\(669\) | 2.84406 | − | 9.73430i | 0.109958 | − | 0.376350i | ||||
\(670\) | 9.26363 | + | 21.4755i | 0.357885 | + | 0.829671i | ||||
\(671\) | −10.0107 | − | 5.02757i | −0.386460 | − | 0.194087i | ||||
\(672\) | −2.45695 | + | 5.80134i | −0.0947790 | + | 0.223792i | ||||
\(673\) | 12.3539 | + | 2.92794i | 0.476209 | + | 0.112864i | 0.461710 | − | 0.887031i | \(-0.347236\pi\) |
0.0144998 | + | 0.999895i | \(0.495384\pi\) | |||||||
\(674\) | 12.9912 | − | 22.5014i | 0.500401 | − | 0.866720i | ||||
\(675\) | −28.7034 | − | 36.9955i | −1.10480 | − | 1.42396i | ||||
\(676\) | 6.47829 | + | 11.2207i | 0.249165 | + | 0.431567i | ||||
\(677\) | −3.18713 | − | 10.6457i | −0.122491 | − | 0.409149i | 0.874646 | − | 0.484762i | \(-0.161094\pi\) |
−0.997137 | + | 0.0756130i | \(0.975909\pi\) | |||||||
\(678\) | 1.10136 | − | 21.3477i | 0.0422975 | − | 0.819853i | ||||
\(679\) | −5.65488 | + | 3.71927i | −0.217014 | + | 0.142733i | ||||
\(680\) | 3.73579 | − | 5.01804i | 0.143261 | − | 0.192433i | ||||
\(681\) | 12.9655 | + | 1.42836i | 0.496839 | + | 0.0547348i | ||||
\(682\) | 25.1208 | + | 16.5222i | 0.961925 | + | 0.632668i | ||||
\(683\) | −19.0189 | + | 6.92231i | −0.727737 | + | 0.264875i | −0.679207 | − | 0.733947i | \(-0.737676\pi\) |
−0.0485305 | + | 0.998822i | \(0.515454\pi\) | |||||||
\(684\) | −4.17496 | − | 2.66726i | −0.159633 | − | 0.101985i | ||||
\(685\) | 15.5423 | + | 5.65692i | 0.593840 | + | 0.216140i | ||||
\(686\) | −1.67095 | − | 2.24448i | −0.0637973 | − | 0.0856947i | ||||
\(687\) | 9.66781 | − | 17.0046i | 0.368850 | − | 0.648765i | ||||
\(688\) | 0.718564 | + | 0.761633i | 0.0273950 | + | 0.0290370i | ||||
\(689\) | 0.696010 | + | 0.737728i | 0.0265159 | + | 0.0281052i | ||||
\(690\) | −56.7045 | + | 0.376056i | −2.15870 | + | 0.0143162i | ||||
\(691\) | 15.8395 | + | 21.2762i | 0.602564 | + | 0.809384i | 0.993832 | − | 0.110893i | \(-0.0353711\pi\) |
−0.391269 | + | 0.920277i | \(0.627964\pi\) | |||||||
\(692\) | −4.33617 | − | 1.57824i | −0.164836 | − | 0.0599955i | ||||
\(693\) | −22.0517 | + | 53.0451i | −0.837673 | + | 2.01502i | ||||
\(694\) | 12.2929 | − | 4.47425i | 0.466632 | − | 0.169840i | ||||
\(695\) | 3.86517 | + | 2.54216i | 0.146614 | + | 0.0964297i | ||||
\(696\) | −0.772396 | + | 1.05200i | −0.0292776 | + | 0.0398760i | ||||
\(697\) | 4.99149 | − | 6.70473i | 0.189066 | − | 0.253960i | ||||
\(698\) | −16.7308 | + | 11.0040i | −0.633269 | + | 0.416508i | ||||
\(699\) | −11.7317 | + | 5.98963i | −0.443733 | + | 0.226549i | ||||
\(700\) | 9.40089 | + | 31.4011i | 0.355320 | + | 1.18685i | ||||
\(701\) | −5.03336 | − | 8.71804i | −0.190107 | − | 0.329276i | 0.755178 | − | 0.655520i | \(-0.227550\pi\) |
−0.945286 | + | 0.326244i | \(0.894217\pi\) | |||||||
\(702\) | 1.00982 | − | 0.390467i | 0.0381134 | − | 0.0147372i | ||||
\(703\) | 4.52941 | − | 7.84517i | 0.170830 | − | 0.295886i | ||||
\(704\) | 5.12249 | + | 1.21405i | 0.193061 | + | 0.0457563i | ||||
\(705\) | 21.2454 | + | 28.1460i | 0.800149 | + | 1.06004i | ||||
\(706\) | −26.0235 | − | 13.0695i | −0.979406 | − | 0.491876i | ||||
\(707\) | 16.5714 | + | 38.4169i | 0.623232 | + | 1.44481i | ||||
\(708\) | 20.1312 | − | 4.91240i | 0.756576 | − | 0.184619i | ||||
\(709\) | 2.70801 | − | 46.4947i | 0.101701 | − | 1.74614i | −0.433261 | − | 0.901269i | \(-0.642637\pi\) |
0.534962 | − | 0.844876i | \(-0.320326\pi\) | |||||||
\(710\) | 1.67703 | − | 9.51092i | 0.0629379 | − | 0.356938i | ||||
\(711\) | 12.1403 | − | 4.60196i | 0.455297 | − | 0.172587i | ||||
\(712\) | −0.0899818 | − | 0.510312i | −0.00337221 | − | 0.0191247i | ||||
\(713\) | 49.6163 | − | 5.79931i | 1.85814 | − | 0.217186i | ||||
\(714\) | −9.91808 | − | 3.53558i | −0.371175 | − | 0.132316i | ||||
\(715\) | 1.17759 | − | 3.93342i | 0.0440393 | − | 0.147102i | ||||
\(716\) | 24.3593 | − | 5.77326i | 0.910350 | − | 0.215757i | ||||
\(717\) | 5.52982 | − | 32.6249i | 0.206515 | − | 1.21840i | ||||
\(718\) | 6.15792 | − | 14.2757i | 0.229811 | − | 0.532763i | ||||
\(719\) | −27.0503 | + | 22.6979i | −1.00881 | + | 0.846490i | −0.988180 | − | 0.153298i | \(-0.951011\pi\) |
−0.0206270 | + | 0.999787i | \(0.506566\pi\) | |||||||
\(720\) | 10.1011 | + | 4.90627i | 0.376444 | + | 0.182846i | ||||
\(721\) | 41.4179 | + | 34.7538i | 1.54248 | + | 1.29430i | ||||
\(722\) | 14.5419 | − | 7.30323i | 0.541195 | − | 0.271798i | ||||
\(723\) | −9.33137 | + | 6.22638i | −0.347037 | + | 0.231562i | ||||
\(724\) | −15.6570 | − | 1.83005i | −0.581889 | − | 0.0680131i | ||||
\(725\) | 0.394811 | + | 6.77865i | 0.0146629 | + | 0.251753i | ||||
\(726\) | 28.2124 | + | 6.48917i | 1.04706 | + | 0.240836i | ||||
\(727\) | −4.09655 | + | 4.34209i | −0.151933 | + | 0.161039i | −0.798870 | − | 0.601504i | \(-0.794568\pi\) |
0.646937 | + | 0.762544i | \(0.276050\pi\) | |||||||
\(728\) | −0.757901 | −0.0280897 | ||||||||
\(729\) | 5.74254 | + | 26.3823i | 0.212686 | + | 0.977120i | ||||
\(730\) | 20.9446 | 0.775194 | ||||||||
\(731\) | −1.20093 | + | 1.27291i | −0.0444180 | + | 0.0470803i | ||||
\(732\) | 3.59190 | + | 0.826177i | 0.132760 | + | 0.0305364i | ||||
\(733\) | 2.73945 | + | 47.0345i | 0.101184 | + | 1.73726i | 0.542631 | + | 0.839971i | \(0.317428\pi\) |
−0.441447 | + | 0.897287i | \(0.645535\pi\) | |||||||
\(734\) | −9.17828 | − | 1.07279i | −0.338776 | − | 0.0395973i | ||||
\(735\) | 33.6025 | − | 22.4214i | 1.23945 | − | 0.827025i | ||||
\(736\) | 7.81600 | − | 3.92534i | 0.288101 | − | 0.144690i | ||||
\(737\) | −25.1976 | − | 21.1433i | −0.928166 | − | 0.778824i | ||||
\(738\) | 13.4963 | + | 6.55539i | 0.496805 | + | 0.241307i | ||||
\(739\) | −9.19760 | + | 7.71770i | −0.338339 | + | 0.283900i | −0.796088 | − | 0.605182i | \(-0.793101\pi\) |
0.457748 | + | 0.889082i | \(0.348656\pi\) | |||||||
\(740\) | −8.13278 | + | 18.8539i | −0.298967 | + | 0.693083i | ||||
\(741\) | 0.0995977 | − | 0.587608i | 0.00365881 | − | 0.0215863i | ||||
\(742\) | 17.2283 | − | 4.08318i | 0.632471 | − | 0.149898i | ||||
\(743\) | 9.51664 | − | 31.7878i | 0.349132 | − | 1.16618i | −0.585533 | − | 0.810649i | \(-0.699115\pi\) |
0.934664 | − | 0.355532i | \(-0.115700\pi\) | |||||||
\(744\) | −9.31815 | − | 3.32171i | −0.341620 | − | 0.121780i | ||||
\(745\) | −29.9610 | + | 3.50194i | −1.09769 | + | 0.128301i | ||||
\(746\) | −5.84734 | − | 33.1619i | −0.214086 | − | 1.21414i | ||||
\(747\) | −40.1067 | + | 15.2030i | −1.46743 | + | 0.556250i | ||||
\(748\) | −1.52781 | + | 8.66466i | −0.0558624 | + | 0.316811i | ||||
\(749\) | −0.541164 | + | 9.29142i | −0.0197737 | + | 0.339501i | ||||
\(750\) | 25.2662 | − | 6.16545i | 0.922590 | − | 0.225130i | ||||
\(751\) | −14.2808 | − | 33.1067i | −0.521115 | − | 1.20808i | −0.952118 | − | 0.305731i | \(-0.901099\pi\) |
0.431003 | − | 0.902351i | \(-0.358160\pi\) | |||||||
\(752\) | −4.86062 | − | 2.44109i | −0.177248 | − | 0.0890175i | ||||
\(753\) | 8.18750 | + | 10.8468i | 0.298369 | + | 0.395279i | ||||
\(754\) | −0.152770 | − | 0.0362072i | −0.00556357 | − | 0.00131859i | ||||
\(755\) | −13.9243 | + | 24.1176i | −0.506757 | + | 0.877729i | ||||
\(756\) | 2.91110 | − | 18.6750i | 0.105876 | − | 0.679203i | ||||
\(757\) | −14.8811 | − | 25.7749i | −0.540864 | − | 0.936804i | −0.998855 | − | 0.0478471i | \(-0.984764\pi\) |
0.457990 | − | 0.888957i | \(-0.348569\pi\) | |||||||
\(758\) | −0.0674426 | − | 0.225274i | −0.00244963 | − | 0.00818232i | ||||
\(759\) | 71.0288 | − | 36.2638i | 2.57818 | − | 1.31629i | ||||
\(760\) | 5.16461 | − | 3.39682i | 0.187340 | − | 0.123216i | ||||
\(761\) | 32.1802 | − | 43.2255i | 1.16653 | − | 1.56692i | 0.411250 | − | 0.911522i | \(-0.365092\pi\) |
0.755281 | − | 0.655401i | \(-0.227500\pi\) | |||||||
\(762\) | −18.8080 | + | 25.6165i | −0.681342 | + | 0.927987i | ||||
\(763\) | 32.7358 | + | 21.5307i | 1.18511 | + | 0.779462i | ||||
\(764\) | −1.25239 | + | 0.455834i | −0.0453100 | + | 0.0164915i | ||||
\(765\) | −7.20434 | + | 17.3300i | −0.260474 | + | 0.626568i | ||||
\(766\) | 13.8183 | + | 5.02946i | 0.499276 | + | 0.181722i | ||||
\(767\) | 1.48860 | + | 1.99954i | 0.0537503 | + | 0.0721992i | ||||
\(768\) | −1.73201 | + | 0.0114865i | −0.0624986 | + | 0.000414482i | ||||
\(769\) | −5.85019 | − | 6.20084i | −0.210963 | − | 0.223608i | 0.613248 | − | 0.789890i | \(-0.289863\pi\) |
−0.824211 | + | 0.566283i | \(0.808381\pi\) | |||||||
\(770\) | −49.1878 | − | 52.1361i | −1.77261 | − | 1.87885i | ||||
\(771\) | −9.89661 | + | 17.4070i | −0.356418 | + | 0.626898i | ||||
\(772\) | 7.98972 | + | 10.7321i | 0.287556 | + | 0.386255i | ||||
\(773\) | 36.4284 | + | 13.2589i | 1.31024 | + | 0.476888i | 0.900318 | − | 0.435234i | \(-0.143334\pi\) |
0.409921 | + | 0.912121i | \(0.365556\pi\) | |||||||
\(774\) | −2.64718 | − | 1.69121i | −0.0951510 | − | 0.0607894i | ||||
\(775\) | −48.3642 | + | 17.6031i | −1.73730 | + | 0.632324i | ||||
\(776\) | −1.55465 | − | 1.02251i | −0.0558085 | − | 0.0367058i | ||||
\(777\) | 34.3517 | + | 3.78439i | 1.23236 | + | 0.135764i | ||||
\(778\) | −12.7609 | + | 17.1409i | −0.457501 | + | 0.614530i | ||||
\(779\) | 6.90057 | − | 4.53857i | 0.247238 | − | 0.162611i | ||||
\(780\) | −0.0696024 | + | 1.34910i | −0.00249216 | + | 0.0483057i | ||||
\(781\) | 3.89549 | + | 13.0118i | 0.139392 | + | 0.465600i | ||||
\(782\) | 7.30882 | + | 12.6592i | 0.261363 | + | 0.452694i | ||||
\(783\) | 1.47895 | − | 3.62525i | 0.0528534 | − | 0.129556i | ||||
\(784\) | −3.11536 | + | 5.39596i | −0.111263 | + | 0.192713i | ||||
\(785\) | −71.8168 | − | 17.0209i | −2.56325 | − | 0.607502i | ||||
\(786\) | 0.133991 | − | 0.316378i | 0.00477929 | − | 0.0112848i | ||||
\(787\) | 6.04121 | + | 3.03401i | 0.215346 | + | 0.108151i | 0.553202 | − | 0.833047i | \(-0.313406\pi\) |
−0.337857 | + | 0.941198i | \(0.609702\pi\) | |||||||
\(788\) | 10.4139 | + | 24.1421i | 0.370979 | + | 0.860026i | ||||
\(789\) | −3.50078 | + | 11.9821i | −0.124631 | + | 0.426573i | ||||
\(790\) | −0.941921 | + | 16.1722i | −0.0335120 | + | 0.575379i | ||||
\(791\) | 7.79524 | − | 44.2090i | 0.277167 | − | 1.57189i | ||||
\(792\) | −15.7918 | + | 0.209467i | −0.561136 | + | 0.00744309i | ||||
\(793\) | 0.0769927 | + | 0.436647i | 0.00273409 | + | 0.0155058i | ||||
\(794\) | −23.0698 | + | 2.69647i | −0.818716 | + | 0.0956942i | ||||
\(795\) | −5.68610 | − | 31.0422i | −0.201665 | − | 1.10095i | ||||
\(796\) | −0.665384 | + | 2.22254i | −0.0235839 | + | 0.0787758i | ||||
\(797\) | 1.49748 | − | 0.354909i | 0.0530434 | − | 0.0125715i | −0.204008 | − | 0.978969i | \(-0.565397\pi\) |
0.257052 | + | 0.966398i | \(0.417249\pi\) | |||||||
\(798\) | −8.01426 | − | 6.63469i | −0.283702 | − | 0.234866i | ||||
\(799\) | 3.60053 | − | 8.34698i | 0.127378 | − | 0.295295i | ||||
\(800\) | −6.90314 | + | 5.79243i | −0.244063 | + | 0.204793i | ||||
\(801\) | 0.634605 | + | 1.41912i | 0.0224227 | + | 0.0501423i | ||||
\(802\) | −12.2930 | − | 10.3151i | −0.434082 | − | 0.364238i | ||||
\(803\) | −26.3232 | + | 13.2200i | −0.928924 | + | 0.466523i | ||||
\(804\) | 9.70313 | + | 4.79278i | 0.342203 | + | 0.169028i | ||||
\(805\) | −118.280 | − | 13.8250i | −4.16882 | − | 0.487266i | ||||
\(806\) | −0.0691955 | − | 1.18804i | −0.00243731 | − | 0.0418469i | ||||
\(807\) | −25.5794 | + | 27.4753i | −0.900437 | + | 0.967177i | ||||
\(808\) | −7.89336 | + | 8.36648i | −0.277688 | + | 0.294332i | ||||
\(809\) | −35.4763 | −1.24728 | −0.623639 | − | 0.781712i | \(-0.714347\pi\) | ||||
−0.623639 | + | 0.781712i | \(0.714347\pi\) | |||||||
\(810\) | −32.9751 | − | 6.89693i | −1.15863 | − | 0.242333i | ||||
\(811\) | 2.83568 | 0.0995740 | 0.0497870 | − | 0.998760i | \(-0.484146\pi\) | ||||
0.0497870 | + | 0.998760i | \(0.484146\pi\) | |||||||
\(812\) | −1.88085 | + | 1.99358i | −0.0660049 | + | 0.0699611i | ||||
\(813\) | −10.8907 | − | 35.5184i | −0.381953 | − | 1.24568i | ||||
\(814\) | −1.67909 | − | 28.8289i | −0.0588521 | − | 1.01045i | ||||
\(815\) | −26.9561 | − | 3.15072i | −0.944232 | − | 0.110365i | ||||
\(816\) | −0.187476 | − | 2.88868i | −0.00656299 | − | 0.101124i | ||||
\(817\) | −1.54527 | + | 0.776063i | −0.0540621 | + | 0.0271510i | ||||
\(818\) | −2.71014 | − | 2.27408i | −0.0947580 | − | 0.0795114i | ||||
\(819\) | 2.20527 | − | 0.553650i | 0.0770583 | − | 0.0193461i | ||||
\(820\) | −14.3411 | + | 12.0336i | −0.500814 | + | 0.420233i | ||||
\(821\) | −21.4821 | + | 49.8012i | −0.749731 | + | 1.73807i | −0.0783916 | + | 0.996923i | \(0.524978\pi\) |
−0.671340 | + | 0.741150i | \(0.734281\pi\) | |||||||
\(822\) | 7.17423 | − | 2.66522i | 0.250230 | − | 0.0929601i | ||||
\(823\) | 7.83046 | − | 1.85585i | 0.272953 | − | 0.0646910i | −0.0918599 | − | 0.995772i | \(-0.529281\pi\) |
0.364813 | + | 0.931081i | \(0.381133\pi\) | |||||||
\(824\) | −4.26311 | + | 14.2398i | −0.148513 | + | 0.496066i | ||||
\(825\) | −62.5925 | + | 53.2327i | −2.17919 | + | 1.85332i | ||||
\(826\) | 43.2229 | − | 5.05203i | 1.50392 | − | 0.175783i | ||||
\(827\) | 8.15370 | + | 46.2420i | 0.283532 | + | 1.60799i | 0.710482 | + | 0.703715i | \(0.248477\pi\) |
−0.426950 | + | 0.904275i | \(0.640412\pi\) | |||||||
\(828\) | −19.8747 | + | 17.1312i | −0.690695 | + | 0.595350i | ||||
\(829\) | 4.57598 | − | 25.9517i | 0.158930 | − | 0.901339i | −0.796174 | − | 0.605068i | \(-0.793146\pi\) |
0.955104 | − | 0.296271i | \(-0.0957430\pi\) | |||||||
\(830\) | 3.11173 | − | 53.4264i | 0.108010 | − | 1.85446i | ||||
\(831\) | 14.3893 | + | 15.0506i | 0.499160 | + | 0.522098i | ||||
\(832\) | −0.0825284 | − | 0.191322i | −0.00286116 | − | 0.00663291i | ||||
\(833\) | −9.30571 | − | 4.67350i | −0.322424 | − | 0.161927i | ||||
\(834\) | 2.12449 | − | 0.262610i | 0.0735652 | − | 0.00909346i | ||||
\(835\) | −68.6026 | − | 16.2591i | −2.37409 | − | 0.562670i | ||||
\(836\) | −4.34685 | + | 7.52896i | −0.150339 | + | 0.260395i | ||||
\(837\) | 29.5396 | + | 2.85825i | 1.02104 | + | 0.0987957i | ||||
\(838\) | −15.6389 | − | 27.0873i | −0.540235 | − | 0.935715i | ||||
\(839\) | −1.55115 | − | 5.18120i | −0.0535516 | − | 0.178875i | 0.927030 | − | 0.374988i | \(-0.122353\pi\) |
−0.980581 | + | 0.196113i | \(0.937168\pi\) | |||||||
\(840\) | 19.7886 | + | 12.8280i | 0.682770 | + | 0.442606i | ||||
\(841\) | 23.7548 | − | 15.6238i | 0.819130 | − | 0.538751i | ||||
\(842\) | −10.6536 | + | 14.3103i | −0.367147 | + | 0.493165i | ||||
\(843\) | 6.46037 | + | 14.7079i | 0.222507 | + | 0.506565i | ||||
\(844\) | 8.16315 | + | 5.36899i | 0.280987 | + | 0.184808i | ||||
\(845\) | 45.5740 | − | 16.5876i | 1.56779 | − | 0.570630i | ||||
\(846\) | 15.9262 | + | 3.55216i | 0.547553 | + | 0.122126i | ||||
\(847\) | 57.1284 | + | 20.7930i | 1.96296 | + | 0.714458i | ||||
\(848\) | 2.90675 | + | 3.90444i | 0.0998181 | + | 0.134079i | ||||
\(849\) | −20.9088 | − | 35.6667i | −0.717588 | − | 1.22408i | ||||
\(850\) | −10.3353 | − | 10.9548i | −0.354497 | − | 0.375745i | ||||
\(851\) | −32.9244 | − | 34.8978i | −1.12863 | − | 1.19628i | ||||
\(852\) | −2.26001 | − | 3.85519i | −0.0774268 | − | 0.132077i | ||||
\(853\) | −12.8338 | − | 17.2388i | −0.439421 | − | 0.590244i | 0.526148 | − | 0.850393i | \(-0.323636\pi\) |
−0.965569 | + | 0.260149i | \(0.916228\pi\) | |||||||
\(854\) | 7.27338 | + | 2.64729i | 0.248890 | + | 0.0905885i | ||||
\(855\) | −12.5461 | + | 13.6565i | −0.429067 | + | 0.467042i | ||||
\(856\) | −2.40443 | + | 0.875140i | −0.0821816 | + | 0.0299117i | ||||
\(857\) | −12.5216 | − | 8.23558i | −0.427729 | − | 0.281322i | 0.317336 | − | 0.948313i | \(-0.397212\pi\) |
−0.745066 | + | 0.666991i | \(0.767582\pi\) | |||||||
\(858\) | −0.764062 | − | 1.73948i | −0.0260847 | − | 0.0593850i | ||||
\(859\) | −30.0492 | + | 40.3630i | −1.02526 | + | 1.37717i | −0.101229 | + | 0.994863i | \(0.532277\pi\) |
−0.924036 | + | 0.382306i | \(0.875130\pi\) | |||||||
\(860\) | 3.27469 | − | 2.15379i | 0.111666 | − | 0.0734438i | ||||
\(861\) | 26.4400 | + | 17.1397i | 0.901073 | + | 0.584121i | ||||
\(862\) | 5.24057 | + | 17.5047i | 0.178494 | + | 0.596213i | ||||
\(863\) | 12.2875 | + | 21.2826i | 0.418272 | + | 0.724468i | 0.995766 | − | 0.0919267i | \(-0.0293025\pi\) |
−0.577494 | + | 0.816395i | \(0.695969\pi\) | |||||||
\(864\) | 5.03125 | − | 1.29866i | 0.171167 | − | 0.0441814i | ||||
\(865\) | −8.63637 | + | 14.9586i | −0.293645 | + | 0.508609i | ||||
\(866\) | 27.5696 | + | 6.53411i | 0.936853 | + | 0.222038i | ||||
\(867\) | −24.4210 | + | 3.01870i | −0.829381 | + | 0.102521i | ||||
\(868\) | −18.5651 | − | 9.32372i | −0.630139 | − | 0.316468i | ||||
\(869\) | −9.02387 | − | 20.9197i | −0.306114 | − | 0.709652i | ||||
\(870\) | 3.37595 | + | 3.53109i | 0.114456 | + | 0.119715i | ||||
\(871\) | −0.0756989 | + | 1.29970i | −0.00256496 | + | 0.0440386i | ||||
\(872\) | −1.87051 | + | 10.6082i | −0.0633436 | + | 0.359239i | ||||
\(873\) | 5.27050 | + | 1.83951i | 0.178379 | + | 0.0622581i | ||||
\(874\) | 2.50814 | + | 14.2244i | 0.0848391 | + | 0.481147i | ||||
\(875\) | 54.2480 | − | 6.34068i | 1.83392 | − | 0.214354i | ||||
\(876\) | 7.38265 | − | 6.27868i | 0.249437 | − | 0.212137i | ||||
\(877\) | 11.9131 | − | 39.7924i | 0.402275 | − | 1.34369i | −0.481772 | − | 0.876296i | \(-0.660007\pi\) |
0.884048 | − | 0.467397i | \(-0.154808\pi\) | |||||||
\(878\) | −3.08166 | + | 0.730367i | −0.104001 | + | 0.0246487i | ||||
\(879\) | 22.1872 | − | 8.24252i | 0.748356 | − | 0.278013i | ||||
\(880\) | 7.80498 | − | 18.0940i | 0.263106 | − | 0.609948i | ||||
\(881\) | 39.4074 | − | 33.0667i | 1.32767 | − | 1.11405i | 0.343053 | − | 0.939316i | \(-0.388539\pi\) |
0.984616 | − | 0.174731i | \(-0.0559054\pi\) | |||||||
\(882\) | 5.12300 | − | 17.9764i | 0.172500 | − | 0.605298i | ||||
\(883\) | 11.6864 | + | 9.80605i | 0.393279 | + | 0.330000i | 0.817889 | − | 0.575376i | \(-0.195144\pi\) |
−0.424610 | + | 0.905376i | \(0.639589\pi\) | |||||||
\(884\) | 0.311194 | − | 0.156288i | 0.0104666 | − | 0.00525653i | ||||
\(885\) | −5.02347 | − | 77.4029i | −0.168862 | − | 2.60187i | ||||
\(886\) | −31.7592 | − | 3.71211i | −1.06697 | − | 0.124711i | ||||
\(887\) | 2.91698 | + | 50.0825i | 0.0979424 | + | 1.68161i | 0.587180 | + | 0.809456i | \(0.300238\pi\) |
−0.489238 | + | 0.872150i | \(0.662725\pi\) | |||||||
\(888\) | 2.78526 | + | 9.08373i | 0.0934672 | + | 0.304830i | ||||
\(889\) | −45.7991 | + | 48.5442i | −1.53605 | + | 1.62812i | ||||
\(890\) | −1.93966 | −0.0650175 | ||||||||
\(891\) | 45.7963 | − | 12.1454i | 1.53424 | − | 0.406887i | ||||
\(892\) | 5.85506 | 0.196042 | ||||||||
\(893\) | 6.16404 | − | 6.53351i | 0.206272 | − | 0.218635i | ||||
\(894\) | −9.51100 | + | 10.2160i | −0.318095 | + | 0.341673i | ||||
\(895\) | −5.44859 | − | 93.5487i | −0.182126 | − | 3.12699i | ||||
\(896\) | −3.61281 | − | 0.422277i | −0.120696 | − | 0.0141073i | ||||
\(897\) | −2.83009 | − | 1.39790i | −0.0944940 | − | 0.0466745i | ||||
\(898\) | −2.19341 | + | 1.10157i | −0.0731950 | + | 0.0367599i | ||||
\(899\) | −3.29674 | − | 2.76629i | −0.109952 | − | 0.0922611i | ||||
\(900\) | 15.8547 | − | 21.8970i | 0.528490 | − | 0.729900i | ||||
\(901\) | −6.23194 | + | 5.22922i | −0.207616 | + | 0.174211i | ||||
\(902\) | 10.4284 | − | 24.1758i | 0.347229 | − | 0.804966i | ||||
\(903\) | −5.08154 | − | 4.20681i | −0.169103 | − | 0.139994i | ||||
\(904\) | 12.0088 | − | 2.84614i | 0.399407 | − | 0.0946613i | ||||
\(905\) | −16.9232 | + | 56.5273i | −0.562545 | + | 1.87903i | ||||
\(906\) | 2.32176 | + | 12.6753i | 0.0771355 | + | 0.421107i | ||||
\(907\) | 54.9677 | − | 6.42481i | 1.82517 | − | 0.213332i | 0.866762 | − | 0.498722i | \(-0.166197\pi\) |
0.958411 | + | 0.285390i | \(0.0921232\pi\) | |||||||
\(908\) | 1.30773 | + | 7.41652i | 0.0433986 | + | 0.246126i | ||||
\(909\) | 16.8556 | − | 30.1101i | 0.559065 | − | 0.998689i | ||||
\(910\) | −0.492633 | + | 2.79386i | −0.0163306 | + | 0.0926157i | ||||
\(911\) | −2.36181 | + | 40.5508i | −0.0782503 | + | 1.34351i | 0.699364 | + | 0.714765i | \(0.253466\pi\) |
−0.777615 | + | 0.628741i | \(0.783571\pi\) | |||||||
\(912\) | 0.802164 | − | 2.74555i | 0.0265623 | − | 0.0909143i | ||||
\(913\) | 29.8113 | + | 69.1103i | 0.986610 | + | 2.28722i | ||||
\(914\) | 19.7913 | + | 9.93956i | 0.654638 | + | 0.328771i | ||||
\(915\) | 5.38027 | − | 12.7039i | 0.177866 | − | 0.419977i | ||||
\(916\) | 10.9890 | + | 2.60444i | 0.363086 | + | 0.0860530i | ||||
\(917\) | 0.360771 | − | 0.624874i | 0.0119137 | − | 0.0206352i | ||||
\(918\) | 2.65569 | + | 8.26825i | 0.0876510 | + | 0.272893i | ||||
\(919\) | −16.3221 | − | 28.2707i | −0.538417 | − | 0.932565i | −0.998990 | − | 0.0449430i | \(-0.985689\pi\) |
0.460573 | − | 0.887622i | \(-0.347644\pi\) | |||||||
\(920\) | −9.38967 | − | 31.3637i | −0.309568 | − | 1.03403i | ||||
\(921\) | −1.20383 | + | 23.3338i | −0.0396674 | + | 0.768874i | ||||
\(922\) | 6.97700 | − | 4.58885i | 0.229775 | − | 0.151126i | ||||
\(923\) | 0.321026 | − | 0.431213i | 0.0105667 | − | 0.0141935i | ||||
\(924\) | −32.9671 | − | 3.63185i | −1.08454 | − | 0.119479i | ||||
\(925\) | 41.2999 | + | 27.1633i | 1.35793 | + | 0.893125i | ||||
\(926\) | −22.9823 | + | 8.36487i | −0.755245 | + | 0.274887i | ||||
\(927\) | 2.00217 | − | 44.5478i | 0.0657599 | − | 1.46314i | ||||
\(928\) | −0.708062 | − | 0.257713i | −0.0232433 | − | 0.00845986i | ||||
\(929\) | 28.9953 | + | 38.9475i | 0.951306 | + | 1.27783i | 0.960619 | + | 0.277869i | \(0.0896282\pi\) |
−0.00931285 | + | 0.999957i | \(0.502964\pi\) | |||||||
\(930\) | −18.3016 | + | 32.1905i | −0.600135 | + | 1.05557i | ||||
\(931\) | −7.06109 | − | 7.48432i | −0.231418 | − | 0.245289i | ||||
\(932\) | −5.21887 | − | 5.53168i | −0.170950 | − | 0.181196i | ||||
\(933\) | 10.2305 | − | 0.0678470i | 0.334930 | − | 0.00222121i | ||||
\(934\) | 16.9772 | + | 22.8044i | 0.555511 | + | 0.746181i | ||||
\(935\) | 30.9476 | + | 11.2640i | 1.01209 | + | 0.368372i | ||||
\(936\) | 0.379895 | + | 0.496404i | 0.0124172 | + | 0.0162255i | ||||
\(937\) | 4.72115 | − | 1.71836i | 0.154233 | − | 0.0561363i | −0.263750 | − | 0.964591i | \(-0.584959\pi\) |
0.417983 | + | 0.908455i | \(0.362737\pi\) | |||||||
\(938\) | 18.9884 | + | 12.4889i | 0.619995 | + | 0.407777i | ||||
\(939\) | −9.03697 | + | 12.3083i | −0.294910 | + | 0.401667i | ||||
\(940\) | −12.1580 | + | 16.3311i | −0.396551 | + | 0.532660i | ||||
\(941\) | −19.7386 | + | 12.9823i | −0.643459 | + | 0.423210i | −0.828862 | − | 0.559453i | \(-0.811011\pi\) |
0.185403 | + | 0.982663i | \(0.440641\pi\) | |||||||
\(942\) | −30.4168 | + | 15.5293i | −0.991032 | + | 0.505973i | ||||
\(943\) | −12.5458 | − | 41.9058i | −0.408547 | − | 1.36464i | ||||
\(944\) | 5.98189 | + | 10.3609i | 0.194694 | + | 0.337220i | ||||
\(945\) | −66.9497 | − | 22.8699i | −2.17787 | − | 0.743958i | ||||
\(946\) | −2.75617 | + | 4.77383i | −0.0896109 | + | 0.155211i | ||||
\(947\) | 17.0613 | + | 4.04359i | 0.554416 | + | 0.131399i | 0.498268 | − | 0.867023i | \(-0.333970\pi\) |
0.0561488 | + | 0.998422i | \(0.482118\pi\) | |||||||
\(948\) | 4.51601 | + | 5.98281i | 0.146673 | + | 0.194312i | ||||
\(949\) | 1.04186 | + | 0.523244i | 0.0338203 | + | 0.0169852i | ||||
\(950\) | −5.89430 | − | 13.6645i | −0.191236 | − | 0.443336i | ||||
\(951\) | 12.2921 | − | 2.99951i | 0.398598 | − | 0.0972658i | ||||
\(952\) | 0.353472 | − | 6.06888i | 0.0114561 | − | 0.196693i | ||||
\(953\) | 8.32666 | − | 47.2228i | 0.269727 | − | 1.52970i | −0.485502 | − | 0.874236i | \(-0.661363\pi\) |
0.755229 | − | 0.655462i | \(-0.227526\pi\) | |||||||
\(954\) | −11.3100 | − | 9.23736i | −0.366174 | − | 0.299071i | ||||
\(955\) | 0.866296 | + | 4.91301i | 0.0280327 | + | 0.158981i | ||||
\(956\) | 18.9755 | − | 2.21792i | 0.613711 | − | 0.0717325i | ||||
\(957\) | −6.47168 | − | 2.30701i | −0.209200 | − | 0.0745751i | ||||
\(958\) | 4.53707 | − | 15.1549i | 0.146586 | − | 0.489631i | ||||
\(959\) | 15.6391 | − | 3.70654i | 0.505014 | − | 0.119690i | ||||
\(960\) | −1.08346 | + | 6.39221i | −0.0349685 | + | 0.206308i | ||||
\(961\) | 0.641865 | − | 1.48801i | 0.0207053 | − | 0.0480003i | ||||
\(962\) | −0.875569 | + | 0.734689i | −0.0282295 | + | 0.0236873i | ||||
\(963\) | 6.35687 | − | 4.30284i | 0.204847 | − | 0.138657i | ||||
\(964\) | −4.96143 | − | 4.16313i | −0.159797 | − | 0.134085i | ||||
\(965\) | 44.7551 | − | 22.4768i | 1.44072 | − | 0.723555i | ||||
\(966\) | −45.8363 | + | 30.5844i | −1.47476 | + | 0.984037i | ||||
\(967\) | 41.5836 | + | 4.86042i | 1.33724 | + | 0.156301i | 0.754468 | − | 0.656337i | \(-0.227895\pi\) |
0.582770 | + | 0.812637i | \(0.301969\pi\) | |||||||
\(968\) | 0.971820 | + | 16.6855i | 0.0312355 | + | 0.536292i | ||||
\(969\) | 4.65880 | + | 1.07158i | 0.149662 | + | 0.0344240i | ||||
\(970\) | −4.77979 | + | 5.06629i | −0.153470 | + | 0.162669i | ||||
\(971\) | 2.57508 | 0.0826384 | 0.0413192 | − | 0.999146i | \(-0.486844\pi\) | ||||
0.0413192 | + | 0.999146i | \(0.486844\pi\) | |||||||
\(972\) | −13.6908 | + | 7.45407i | −0.439131 | + | 0.239089i | ||||
\(973\) | 4.49551 | 0.144120 | ||||||||
\(974\) | 6.68517 | − | 7.08586i | 0.214207 | − | 0.227046i | ||||
\(975\) | 3.16942 | + | 0.729002i | 0.101503 | + | 0.0233467i | ||||
\(976\) | 0.123728 | + | 2.12434i | 0.00396045 | + | 0.0679983i | ||||
\(977\) | −9.91440 | − | 1.15883i | −0.317190 | − | 0.0370741i | −0.0439914 | − | 0.999032i | \(-0.514007\pi\) |
−0.273198 | + | 0.961958i | \(0.588081\pi\) | |||||||
\(978\) | −10.4461 | + | 6.97021i | −0.334030 | + | 0.222883i | ||||
\(979\) | 2.43776 | − | 1.22429i | 0.0779112 | − | 0.0391285i | ||||
\(980\) | 17.8662 | + | 14.9916i | 0.570716 | + | 0.478888i | ||||
\(981\) | −2.30670 | − | 32.2332i | −0.0736473 | − | 1.02913i | ||||
\(982\) | 4.60685 | − | 3.86561i | 0.147010 | − | 0.123356i | ||||
\(983\) | 2.72214 | − | 6.31062i | 0.0868227 | − | 0.201278i | −0.869273 | − | 0.494332i | \(-0.835413\pi\) |
0.956096 | + | 0.293055i | \(0.0946718\pi\) | |||||||
\(984\) | −1.44764 | + | 8.54079i | −0.0461490 | + | 0.272271i | ||||
\(985\) | 95.7643 | − | 22.6966i | 3.05131 | − | 0.723173i | ||||
\(986\) | 0.361178 | − | 1.20642i | 0.0115023 | − | 0.0384202i | ||||
\(987\) | 32.2781 | + | 11.5064i | 1.02742 | + | 0.366254i | ||||
\(988\) | 0.341768 | − | 0.0399469i | 0.0108731 | − | 0.00127088i | ||||
\(989\) | 1.59032 | + | 9.01914i | 0.0505692 | + | 0.286792i | ||||
\(990\) | −9.49244 | + | 58.3496i | −0.301690 | + | 1.85447i | ||||
\(991\) | −4.53010 | + | 25.6915i | −0.143903 | + | 0.816117i | 0.824338 | + | 0.566099i | \(0.191548\pi\) |
−0.968241 | + | 0.250019i | \(0.919563\pi\) | |||||||
\(992\) | 0.332091 | − | 5.70178i | 0.0105439 | − | 0.181032i | ||||
\(993\) | 53.8851 | − | 13.1490i | 1.70999 | − | 0.417272i | ||||
\(994\) | −3.71710 | − | 8.61721i | −0.117899 | − | 0.273321i | ||||
\(995\) | 7.76048 | + | 3.89746i | 0.246024 | + | 0.123558i | ||||
\(996\) | −14.9191 | − | 19.7648i | −0.472730 | − | 0.626272i | ||||
\(997\) | −50.0674 | − | 11.8662i | −1.58565 | − | 0.375806i | −0.659124 | − | 0.752035i | \(-0.729073\pi\) |
−0.926527 | + | 0.376228i | \(0.877221\pi\) | |||||||
\(998\) | 4.84606 | − | 8.39362i | 0.153399 | − | 0.265696i | ||||
\(999\) | −14.7400 | − | 24.3963i | −0.466352 | − | 0.771865i |
(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 | 162.2.g.a.151.1 | yes | 72 | |
3.2 | odd | 2 | 486.2.g.a.127.4 | 72 | |||
81.22 | even | 27 | inner | 162.2.g.a.103.1 | ✓ | 72 | |
81.59 | odd | 54 | 486.2.g.a.199.4 | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
162.2.g.a.103.1 | ✓ | 72 | 81.22 | even | 27 | inner | |
162.2.g.a.151.1 | yes | 72 | 1.1 | even | 1 | trivial | |
486.2.g.a.127.4 | 72 | 3.2 | odd | 2 | |||
486.2.g.a.199.4 | 72 | 81.59 | odd | 54 |