Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [966,2,Mod(47,966)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(966, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 5, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("966.47");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 966.l (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: | \(7.71354883526\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 47.10 | ||
Character | \(\chi\) | \(=\) | 966.47 |
Dual form | 966.2.l.d.185.10 |
$q$-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 \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(829\) | \(925\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.866025 | − | 0.500000i | −0.612372 | − | 0.353553i | ||||
\(3\) | 1.43371 | + | 0.971841i | 0.827753 | + | 0.561093i | ||||
\(4\) | 0.500000 | + | 0.866025i | 0.250000 | + | 0.433013i | ||||
\(5\) | −0.427501 | + | 0.740454i | −0.191184 | + | 0.331141i | −0.945643 | − | 0.325207i | \(-0.894566\pi\) |
0.754459 | + | 0.656348i | \(0.227899\pi\) | |||||||
\(6\) | −0.755709 | − | 1.55849i | −0.308517 | − | 0.636253i | ||||
\(7\) | −2.36450 | − | 1.18708i | −0.893695 | − | 0.448675i | ||||
\(8\) | − | 1.00000i | − | 0.353553i | ||||||
\(9\) | 1.11105 | + | 2.78668i | 0.370350 | + | 0.928892i | ||||
\(10\) | 0.740454 | − | 0.427501i | 0.234152 | − | 0.135188i | ||||
\(11\) | 5.38248 | − | 3.10758i | 1.62288 | − | 0.936970i | 0.636735 | − | 0.771083i | \(-0.280285\pi\) |
0.986145 | − | 0.165887i | \(-0.0530488\pi\) | |||||||
\(12\) | −0.124784 | + | 1.72755i | −0.0360219 | + | 0.498701i | ||||
\(13\) | 2.94362i | 0.816414i | 0.912889 | + | 0.408207i | \(0.133846\pi\) | ||||
−0.912889 | + | 0.408207i | \(0.866154\pi\) | |||||||
\(14\) | 1.45417 | + | 2.21029i | 0.388644 | + | 0.590725i | ||||
\(15\) | −1.33252 | + | 0.646133i | −0.344054 | + | 0.166831i | ||||
\(16\) | −0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | ||||
\(17\) | 3.58584 | + | 6.21086i | 0.869694 | + | 1.50635i | 0.862310 | + | 0.506381i | \(0.169017\pi\) |
0.00738375 | + | 0.999973i | \(0.497650\pi\) | |||||||
\(18\) | 0.431140 | − | 2.96886i | 0.101621 | − | 0.699767i | ||||
\(19\) | −5.55007 | − | 3.20433i | −1.27327 | − | 0.735124i | −0.297670 | − | 0.954669i | \(-0.596209\pi\) |
−0.975602 | + | 0.219545i | \(0.929543\pi\) | |||||||
\(20\) | −0.855002 | −0.191184 | ||||||||
\(21\) | −2.23635 | − | 3.99984i | −0.488011 | − | 0.872837i | ||||
\(22\) | −6.21516 | −1.32508 | ||||||||
\(23\) | −0.866025 | − | 0.500000i | −0.180579 | − | 0.104257i | ||||
\(24\) | 0.971841 | − | 1.43371i | 0.198376 | − | 0.292655i | ||||
\(25\) | 2.13449 | + | 3.69704i | 0.426897 | + | 0.739407i | ||||
\(26\) | 1.47181 | − | 2.54925i | 0.288646 | − | 0.499950i | ||||
\(27\) | −1.11528 | + | 5.07505i | −0.214636 | + | 0.976694i | ||||
\(28\) | −0.154205 | − | 2.64125i | −0.0291420 | − | 0.499150i | ||||
\(29\) | 3.08934i | 0.573677i | 0.957979 | + | 0.286838i | \(0.0926043\pi\) | ||||
−0.957979 | + | 0.286838i | \(0.907396\pi\) | |||||||
\(30\) | 1.47706 | + | 0.106690i | 0.269673 | + | 0.0194789i | ||||
\(31\) | 9.28619 | − | 5.36139i | 1.66785 | − | 0.962933i | 0.699055 | − | 0.715068i | \(-0.253604\pi\) |
0.968794 | − | 0.247866i | \(-0.0797293\pi\) | |||||||
\(32\) | 0.866025 | − | 0.500000i | 0.153093 | − | 0.0883883i | ||||
\(33\) | 10.7370 | + | 0.775549i | 1.86907 | + | 0.135006i | ||||
\(34\) | − | 7.17168i | − | 1.22993i | ||||||
\(35\) | 1.88980 | − | 1.24332i | 0.319435 | − | 0.210160i | ||||
\(36\) | −1.85781 | + | 2.35554i | −0.309635 | + | 0.392589i | ||||
\(37\) | −4.02094 | + | 6.96447i | −0.661038 | + | 1.14495i | 0.319305 | + | 0.947652i | \(0.396551\pi\) |
−0.980343 | + | 0.197300i | \(0.936783\pi\) | |||||||
\(38\) | 3.20433 | + | 5.55007i | 0.519811 | + | 0.900340i | ||||
\(39\) | −2.86073 | + | 4.22030i | −0.458084 | + | 0.675790i | ||||
\(40\) | 0.740454 | + | 0.427501i | 0.117076 | + | 0.0675939i | ||||
\(41\) | 8.81569 | 1.37678 | 0.688390 | − | 0.725341i | \(-0.258318\pi\) | ||||
0.688390 | + | 0.725341i | \(0.258318\pi\) | |||||||
\(42\) | −0.0631880 | + | 4.58214i | −0.00975012 | + | 0.707040i | ||||
\(43\) | −2.68771 | −0.409872 | −0.204936 | − | 0.978775i | \(-0.565699\pi\) | ||||
−0.204936 | + | 0.978775i | \(0.565699\pi\) | |||||||
\(44\) | 5.38248 | + | 3.10758i | 0.811440 | + | 0.468485i | ||||
\(45\) | −2.53838 | − | 0.368626i | −0.378399 | − | 0.0549514i | ||||
\(46\) | 0.500000 | + | 0.866025i | 0.0737210 | + | 0.127688i | ||||
\(47\) | −1.58561 | + | 2.74636i | −0.231285 | + | 0.400598i | −0.958187 | − | 0.286144i | \(-0.907626\pi\) |
0.726901 | + | 0.686742i | \(0.240960\pi\) | |||||||
\(48\) | −1.55849 | + | 0.755709i | −0.224949 | + | 0.109077i | ||||
\(49\) | 4.18168 | + | 5.61370i | 0.597382 | + | 0.801957i | ||||
\(50\) | − | 4.26897i | − | 0.603724i | ||||||
\(51\) | −0.894908 | + | 12.3894i | −0.125312 | + | 1.73487i | ||||
\(52\) | −2.54925 | + | 1.47181i | −0.353518 | + | 0.204104i | ||||
\(53\) | −3.70097 | + | 2.13676i | −0.508367 | + | 0.293506i | −0.732162 | − | 0.681130i | \(-0.761489\pi\) |
0.223795 | + | 0.974636i | \(0.428155\pi\) | |||||||
\(54\) | 3.50339 | − | 3.83748i | 0.476751 | − | 0.522215i | ||||
\(55\) | 5.31397i | 0.716536i | ||||||||
\(56\) | −1.18708 | + | 2.36450i | −0.158630 | + | 0.315969i | ||||
\(57\) | −4.84309 | − | 9.98786i | −0.641482 | − | 1.32292i | ||||
\(58\) | 1.54467 | − | 2.67545i | 0.202825 | − | 0.351304i | ||||
\(59\) | 1.01222 | + | 1.75321i | 0.131779 | + | 0.228248i | 0.924362 | − | 0.381515i | \(-0.124598\pi\) |
−0.792583 | + | 0.609764i | \(0.791264\pi\) | |||||||
\(60\) | −1.22583 | − | 0.830926i | −0.158253 | − | 0.107272i | ||||
\(61\) | 1.90084 | + | 1.09745i | 0.243378 | + | 0.140514i | 0.616728 | − | 0.787176i | \(-0.288458\pi\) |
−0.373351 | + | 0.927690i | \(0.621791\pi\) | |||||||
\(62\) | −10.7228 | −1.36179 | ||||||||
\(63\) | 0.680936 | − | 7.90799i | 0.0857899 | − | 0.996313i | ||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | −2.17962 | − | 1.25840i | −0.270348 | − | 0.156086i | ||||
\(66\) | −8.91073 | − | 6.04014i | −1.09684 | − | 0.743490i | ||||
\(67\) | −6.62148 | − | 11.4687i | −0.808943 | − | 1.40113i | −0.913597 | − | 0.406622i | \(-0.866707\pi\) |
0.104654 | − | 0.994509i | \(-0.466627\pi\) | |||||||
\(68\) | −3.58584 | + | 6.21086i | −0.434847 | + | 0.753177i | ||||
\(69\) | −0.755709 | − | 1.55849i | −0.0909767 | − | 0.187621i | ||||
\(70\) | −2.25828 | + | 0.131846i | −0.269916 | + | 0.0157586i | ||||
\(71\) | 11.1720i | 1.32587i | 0.748678 | + | 0.662934i | \(0.230689\pi\) | ||||
−0.748678 | + | 0.662934i | \(0.769311\pi\) | |||||||
\(72\) | 2.78668 | − | 1.11105i | 0.328413 | − | 0.130939i | ||||
\(73\) | 3.00479 | − | 1.73482i | 0.351684 | − | 0.203045i | −0.313743 | − | 0.949508i | \(-0.601583\pi\) |
0.665427 | + | 0.746463i | \(0.268250\pi\) | |||||||
\(74\) | 6.96447 | − | 4.02094i | 0.809603 | − | 0.467425i | ||||
\(75\) | −0.532698 | + | 7.37486i | −0.0615106 | + | 0.851576i | ||||
\(76\) | − | 6.40866i | − | 0.735124i | ||||||
\(77\) | −16.4158 | + | 0.958409i | −1.87075 | + | 0.109221i | ||||
\(78\) | 4.58762 | − | 2.22452i | 0.519446 | − | 0.251878i | ||||
\(79\) | −2.52567 | + | 4.37459i | −0.284160 | + | 0.492180i | −0.972405 | − | 0.233298i | \(-0.925048\pi\) |
0.688245 | + | 0.725478i | \(0.258381\pi\) | |||||||
\(80\) | −0.427501 | − | 0.740454i | −0.0477961 | − | 0.0827852i | ||||
\(81\) | −6.53113 | + | 6.19228i | −0.725681 | + | 0.688031i | ||||
\(82\) | −7.63461 | − | 4.40785i | −0.843102 | − | 0.486765i | ||||
\(83\) | 2.97725 | 0.326796 | 0.163398 | − | 0.986560i | \(-0.447755\pi\) | ||||
0.163398 | + | 0.986560i | \(0.447755\pi\) | |||||||
\(84\) | 2.34579 | − | 3.93666i | 0.255947 | − | 0.429524i | ||||
\(85\) | −6.13180 | −0.665087 | ||||||||
\(86\) | 2.32762 | + | 1.34385i | 0.250994 | + | 0.144912i | ||||
\(87\) | −3.00235 | + | 4.42922i | −0.321886 | + | 0.474863i | ||||
\(88\) | −3.10758 | − | 5.38248i | −0.331269 | − | 0.573775i | ||||
\(89\) | 0.0645771 | − | 0.111851i | 0.00684515 | − | 0.0118562i | −0.862583 | − | 0.505916i | \(-0.831154\pi\) |
0.869428 | + | 0.494060i | \(0.164488\pi\) | |||||||
\(90\) | 2.01399 | + | 1.58843i | 0.212293 | + | 0.167435i | ||||
\(91\) | 3.49432 | − | 6.96019i | 0.366304 | − | 0.729626i | ||||
\(92\) | − | 1.00000i | − | 0.104257i | ||||||
\(93\) | 18.5241 | + | 1.33803i | 1.92086 | + | 0.138747i | ||||
\(94\) | 2.74636 | − | 1.58561i | 0.283265 | − | 0.163543i | ||||
\(95\) | 4.74532 | − | 2.73971i | 0.486859 | − | 0.281088i | ||||
\(96\) | 1.72755 | + | 0.124784i | 0.176317 | + | 0.0127357i | ||||
\(97\) | 7.29558i | 0.740754i | 0.928882 | + | 0.370377i | \(0.120771\pi\) | ||||
−0.928882 | + | 0.370377i | \(0.879229\pi\) | |||||||
\(98\) | −0.814590 | − | 6.95244i | −0.0822860 | − | 0.702303i | ||||
\(99\) | 14.6400 | + | 11.5466i | 1.47138 | + | 1.16047i | ||||
\(100\) | −2.13449 | + | 3.69704i | −0.213449 | + | 0.369704i | ||||
\(101\) | 1.53394 | + | 2.65686i | 0.152633 | + | 0.264367i | 0.932194 | − | 0.361958i | \(-0.117892\pi\) |
−0.779562 | + | 0.626325i | \(0.784558\pi\) | |||||||
\(102\) | 6.96973 | − | 10.2821i | 0.690106 | − | 1.01808i | ||||
\(103\) | 0.287726 | + | 0.166119i | 0.0283505 | + | 0.0163682i | 0.514108 | − | 0.857725i | \(-0.328123\pi\) |
−0.485758 | + | 0.874093i | \(0.661456\pi\) | |||||||
\(104\) | 2.94362 | 0.288646 | ||||||||
\(105\) | 3.91774 | + | 0.0540259i | 0.382332 | + | 0.00527238i | ||||
\(106\) | 4.27351 | 0.415080 | ||||||||
\(107\) | 12.8059 | + | 7.39347i | 1.23799 | + | 0.714754i | 0.968683 | − | 0.248301i | \(-0.0798721\pi\) |
0.269307 | + | 0.963054i | \(0.413205\pi\) | |||||||
\(108\) | −4.95276 | + | 1.57166i | −0.476580 | + | 0.151234i | ||||
\(109\) | −2.53088 | − | 4.38361i | −0.242414 | − | 0.419873i | 0.718987 | − | 0.695023i | \(-0.244606\pi\) |
−0.961401 | + | 0.275150i | \(0.911273\pi\) | |||||||
\(110\) | 2.65699 | − | 4.60204i | 0.253334 | − | 0.438787i | ||||
\(111\) | −12.5332 | + | 6.07732i | −1.18960 | + | 0.576834i | ||||
\(112\) | 2.21029 | − | 1.45417i | 0.208853 | − | 0.137406i | ||||
\(113\) | − | 8.91437i | − | 0.838593i | −0.907849 | − | 0.419297i | \(-0.862277\pi\) | ||
0.907849 | − | 0.419297i | \(-0.137723\pi\) | |||||||
\(114\) | −0.799696 | + | 11.0713i | −0.0748984 | + | 1.03692i | ||||
\(115\) | 0.740454 | − | 0.427501i | 0.0690477 | − | 0.0398647i | ||||
\(116\) | −2.67545 | + | 1.54467i | −0.248409 | + | 0.143419i | ||||
\(117\) | −8.20293 | + | 3.27052i | −0.758361 | + | 0.302359i | ||||
\(118\) | − | 2.02443i | − | 0.186364i | ||||||
\(119\) | −1.10591 | − | 18.9422i | −0.101379 | − | 1.73643i | ||||
\(120\) | 0.646133 | + | 1.33252i | 0.0589836 | + | 0.121642i | ||||
\(121\) | 13.8141 | − | 23.9267i | 1.25583 | − | 2.17515i | ||||
\(122\) | −1.09745 | − | 1.90084i | −0.0993585 | − | 0.172094i | ||||
\(123\) | 12.6391 | + | 8.56745i | 1.13963 | + | 0.772501i | ||||
\(124\) | 9.28619 | + | 5.36139i | 0.833925 | + | 0.481467i | ||||
\(125\) | −7.92499 | −0.708833 | ||||||||
\(126\) | −4.54370 | + | 6.50805i | −0.404785 | + | 0.579783i | ||||
\(127\) | −8.20555 | −0.728125 | −0.364063 | − | 0.931375i | \(-0.618611\pi\) | ||||
−0.364063 | + | 0.931375i | \(0.618611\pi\) | |||||||
\(128\) | 0.866025 | + | 0.500000i | 0.0765466 | + | 0.0441942i | ||||
\(129\) | −3.85340 | − | 2.61202i | −0.339273 | − | 0.229976i | ||||
\(130\) | 1.25840 | + | 2.17962i | 0.110369 | + | 0.191165i | ||||
\(131\) | 8.57443 | − | 14.8513i | 0.749151 | − | 1.29757i | −0.199079 | − | 0.979984i | \(-0.563795\pi\) |
0.948230 | − | 0.317585i | \(-0.102872\pi\) | |||||||
\(132\) | 4.69685 | + | 9.68628i | 0.408808 | + | 0.843083i | ||||
\(133\) | 9.31930 | + | 14.1650i | 0.808086 | + | 1.22826i | ||||
\(134\) | 13.2430i | 1.14402i | ||||||||
\(135\) | −3.28106 | − | 2.99540i | −0.282388 | − | 0.257803i | ||||
\(136\) | 6.21086 | − | 3.58584i | 0.532576 | − | 0.307483i | ||||
\(137\) | 1.82671 | − | 1.05465i | 0.156067 | − | 0.0901052i | −0.419933 | − | 0.907555i | \(-0.637946\pi\) |
0.575999 | + | 0.817450i | \(0.304613\pi\) | |||||||
\(138\) | −0.124784 | + | 1.72755i | −0.0106223 | + | 0.147059i | ||||
\(139\) | 4.45947i | 0.378247i | 0.981953 | + | 0.189123i | \(0.0605646\pi\) | ||||
−0.981953 | + | 0.189123i | \(0.939435\pi\) | |||||||
\(140\) | 2.02165 | + | 1.01496i | 0.170861 | + | 0.0857795i | ||||
\(141\) | −4.94233 | + | 2.39652i | −0.416219 | + | 0.201824i | ||||
\(142\) | 5.58598 | − | 9.67521i | 0.468765 | − | 0.811925i | ||||
\(143\) | 9.14754 | + | 15.8440i | 0.764956 | + | 1.32494i | ||||
\(144\) | −2.96886 | − | 0.431140i | −0.247405 | − | 0.0359283i | ||||
\(145\) | −2.28752 | − | 1.32070i | −0.189968 | − | 0.109678i | ||||
\(146\) | −3.46963 | −0.287149 | ||||||||
\(147\) | 0.539694 | + | 12.1123i | 0.0445132 | + | 0.999009i | ||||
\(148\) | −8.04188 | −0.661038 | ||||||||
\(149\) | −13.5582 | − | 7.82783i | −1.11073 | − | 0.641281i | −0.171712 | − | 0.985147i | \(-0.554930\pi\) |
−0.939019 | + | 0.343867i | \(0.888263\pi\) | |||||||
\(150\) | 4.14876 | − | 6.12047i | 0.338745 | − | 0.499734i | ||||
\(151\) | −11.7342 | − | 20.3242i | −0.954916 | − | 1.65396i | −0.734559 | − | 0.678544i | \(-0.762611\pi\) |
−0.220357 | − | 0.975419i | \(-0.570722\pi\) | |||||||
\(152\) | −3.20433 | + | 5.55007i | −0.259906 | + | 0.450170i | ||||
\(153\) | −13.3236 | + | 16.8931i | −1.07715 | + | 1.36573i | ||||
\(154\) | 14.6957 | + | 7.37789i | 1.18421 | + | 0.594528i | ||||
\(155\) | 9.16800i | 0.736391i | ||||||||
\(156\) | −5.08526 | − | 0.367316i | −0.407146 | − | 0.0294088i | ||||
\(157\) | 9.10228 | − | 5.25521i | 0.726441 | − | 0.419411i | −0.0906776 | − | 0.995880i | \(-0.528903\pi\) |
0.817119 | + | 0.576469i | \(0.195570\pi\) | |||||||
\(158\) | 4.37459 | − | 2.52567i | 0.348024 | − | 0.200932i | ||||
\(159\) | −7.38271 | − | 0.533264i | −0.585487 | − | 0.0422906i | ||||
\(160\) | 0.855002i | 0.0675939i | ||||||||
\(161\) | 1.45417 | + | 2.21029i | 0.114605 | + | 0.174195i | ||||
\(162\) | 8.75227 | − | 2.09711i | 0.687643 | − | 0.164764i | ||||
\(163\) | 2.79248 | − | 4.83671i | 0.218724 | − | 0.378841i | −0.735694 | − | 0.677314i | \(-0.763144\pi\) |
0.954418 | + | 0.298473i | \(0.0964773\pi\) | |||||||
\(164\) | 4.40785 | + | 7.63461i | 0.344195 | + | 0.596163i | ||||
\(165\) | −5.16433 | + | 7.61870i | −0.402043 | + | 0.593115i | ||||
\(166\) | −2.57837 | − | 1.48863i | −0.200121 | − | 0.115540i | ||||
\(167\) | 6.90771 | 0.534535 | 0.267267 | − | 0.963622i | \(-0.413879\pi\) | ||||
0.267267 | + | 0.963622i | \(0.413879\pi\) | |||||||
\(168\) | −3.99984 | + | 2.23635i | −0.308595 | + | 0.172538i | ||||
\(169\) | 4.33508 | 0.333467 | ||||||||
\(170\) | 5.31030 | + | 3.06590i | 0.407281 | + | 0.235144i | ||||
\(171\) | 2.76303 | − | 19.0264i | 0.211294 | − | 1.45499i | ||||
\(172\) | −1.34385 | − | 2.32762i | −0.102468 | − | 0.177480i | ||||
\(173\) | 10.9767 | − | 19.0122i | 0.834544 | − | 1.44547i | −0.0598567 | − | 0.998207i | \(-0.519064\pi\) |
0.894401 | − | 0.447266i | \(-0.147602\pi\) | |||||||
\(174\) | 4.81472 | − | 2.33465i | 0.365003 | − | 0.176989i | ||||
\(175\) | −0.658297 | − | 11.2754i | −0.0497626 | − | 0.852343i | ||||
\(176\) | 6.21516i | 0.468485i | ||||||||
\(177\) | −0.252616 | + | 3.49730i | −0.0189878 | + | 0.262874i | ||||
\(178\) | −0.111851 | + | 0.0645771i | −0.00838357 | + | 0.00484025i | ||||
\(179\) | −5.41924 | + | 3.12880i | −0.405053 | + | 0.233858i | −0.688662 | − | 0.725082i | \(-0.741802\pi\) |
0.283609 | + | 0.958940i | \(0.408468\pi\) | |||||||
\(180\) | −0.949951 | − | 2.38261i | −0.0708052 | − | 0.177590i | ||||
\(181\) | − | 13.9687i | − | 1.03829i | −0.854688 | − | 0.519143i | \(-0.826251\pi\) | ||
0.854688 | − | 0.519143i | \(-0.173749\pi\) | |||||||
\(182\) | −6.50626 | + | 4.28054i | −0.482276 | + | 0.317295i | ||||
\(183\) | 1.65871 | + | 3.42074i | 0.122615 | + | 0.252868i | ||||
\(184\) | −0.500000 | + | 0.866025i | −0.0368605 | + | 0.0638442i | ||||
\(185\) | −3.43791 | − | 5.95464i | −0.252760 | − | 0.437794i | ||||
\(186\) | −15.3734 | − | 10.4208i | −1.12723 | − | 0.764092i | ||||
\(187\) | 38.6014 | + | 22.2865i | 2.82282 | + | 1.62975i | ||||
\(188\) | −3.17122 | −0.231285 | ||||||||
\(189\) | 8.66157 | − | 10.6760i | 0.630037 | − | 0.776565i | ||||
\(190\) | −5.47942 | −0.397519 | ||||||||
\(191\) | −6.95208 | − | 4.01379i | −0.503035 | − | 0.290427i | 0.226931 | − | 0.973911i | \(-0.427131\pi\) |
−0.729966 | + | 0.683483i | \(0.760464\pi\) | |||||||
\(192\) | −1.43371 | − | 0.971841i | −0.103469 | − | 0.0701366i | ||||
\(193\) | −3.90880 | − | 6.77023i | −0.281361 | − | 0.487332i | 0.690359 | − | 0.723467i | \(-0.257453\pi\) |
−0.971720 | + | 0.236135i | \(0.924119\pi\) | |||||||
\(194\) | 3.64779 | − | 6.31815i | 0.261896 | − | 0.453617i | ||||
\(195\) | −1.90197 | − | 3.92243i | −0.136203 | − | 0.280891i | ||||
\(196\) | −2.77077 | + | 6.42829i | −0.197912 | + | 0.459163i | ||||
\(197\) | − | 16.5300i | − | 1.17771i | −0.808237 | − | 0.588857i | \(-0.799578\pi\) | ||
0.808237 | − | 0.588857i | \(-0.200422\pi\) | |||||||
\(198\) | −6.90536 | − | 17.3196i | −0.490742 | − | 1.23085i | ||||
\(199\) | 1.87503 | − | 1.08255i | 0.132917 | − | 0.0767398i | −0.432067 | − | 0.901842i | \(-0.642216\pi\) |
0.564984 | + | 0.825102i | \(0.308882\pi\) | |||||||
\(200\) | 3.69704 | − | 2.13449i | 0.261420 | − | 0.150931i | ||||
\(201\) | 1.65251 | − | 22.8779i | 0.116559 | − | 1.61368i | ||||
\(202\) | − | 3.06788i | − | 0.215855i | ||||||
\(203\) | 3.66730 | − | 7.30474i | 0.257394 | − | 0.512692i | ||||
\(204\) | −11.1770 | + | 5.41970i | −0.782548 | + | 0.379455i | ||||
\(205\) | −3.76872 | + | 6.52761i | −0.263219 | + | 0.455908i | ||||
\(206\) | −0.166119 | − | 0.287726i | −0.0115740 | − | 0.0200468i | ||||
\(207\) | 0.431140 | − | 2.96886i | 0.0299663 | − | 0.206350i | ||||
\(208\) | −2.54925 | − | 1.47181i | −0.176759 | − | 0.102052i | ||||
\(209\) | −39.8308 | −2.75516 | ||||||||
\(210\) | −3.36585 | − | 2.00566i | −0.232266 | − | 0.138404i | ||||
\(211\) | −11.5093 | −0.792334 | −0.396167 | − | 0.918178i | \(-0.629660\pi\) | ||||
−0.396167 | + | 0.918178i | \(0.629660\pi\) | |||||||
\(212\) | −3.70097 | − | 2.13676i | −0.254184 | − | 0.146753i | ||||
\(213\) | −10.8574 | + | 16.0174i | −0.743935 | + | 1.09749i | ||||
\(214\) | −7.39347 | − | 12.8059i | −0.505407 | − | 0.875391i | ||||
\(215\) | 1.14900 | − | 1.99012i | 0.0783610 | − | 0.135725i | ||||
\(216\) | 5.07505 | + | 1.11528i | 0.345314 | + | 0.0758852i | ||||
\(217\) | −28.3216 | + | 1.65351i | −1.92259 | + | 0.112247i | ||||
\(218\) | 5.06175i | 0.342825i | ||||||||
\(219\) | 5.99396 | + | 0.432953i | 0.405034 | + | 0.0292563i | ||||
\(220\) | −4.60204 | + | 2.65699i | −0.310269 | + | 0.179134i | ||||
\(221\) | −18.2824 | + | 10.5554i | −1.22981 | + | 0.710030i | ||||
\(222\) | 13.8927 | + | 1.00349i | 0.932420 | + | 0.0673501i | ||||
\(223\) | 13.2688i | 0.888544i | 0.895892 | + | 0.444272i | \(0.146538\pi\) | ||||
−0.895892 | + | 0.444272i | \(0.853462\pi\) | |||||||
\(224\) | −2.64125 | + | 0.154205i | −0.176476 | + | 0.0103033i | ||||
\(225\) | −7.93092 | + | 10.0557i | −0.528728 | + | 0.670381i | ||||
\(226\) | −4.45718 | + | 7.72007i | −0.296487 | + | 0.513531i | ||||
\(227\) | 1.39501 | + | 2.41622i | 0.0925898 | + | 0.160370i | 0.908600 | − | 0.417667i | \(-0.137152\pi\) |
−0.816010 | + | 0.578037i | \(0.803819\pi\) | |||||||
\(228\) | 6.22820 | − | 9.18817i | 0.412473 | − | 0.608501i | ||||
\(229\) | 5.93757 | + | 3.42806i | 0.392366 | + | 0.226532i | 0.683185 | − | 0.730246i | \(-0.260594\pi\) |
−0.290819 | + | 0.956778i | \(0.593928\pi\) | |||||||
\(230\) | −0.855002 | −0.0563772 | ||||||||
\(231\) | −24.4669 | − | 14.5795i | −1.60981 | − | 0.959258i | ||||
\(232\) | 3.08934 | 0.202825 | ||||||||
\(233\) | 0.903877 | + | 0.521853i | 0.0592149 | + | 0.0341878i | 0.529315 | − | 0.848425i | \(-0.322449\pi\) |
−0.470100 | + | 0.882613i | \(0.655782\pi\) | |||||||
\(234\) | 8.73920 | + | 1.26911i | 0.571300 | + | 0.0829645i | ||||
\(235\) | −1.35570 | − | 2.34814i | −0.0884362 | − | 0.153176i | ||||
\(236\) | −1.01222 | + | 1.75321i | −0.0658896 | + | 0.114124i | ||||
\(237\) | −7.87249 | + | 3.81735i | −0.511373 | + | 0.247963i | ||||
\(238\) | −8.51336 | + | 16.9574i | −0.551839 | + | 1.09918i | ||||
\(239\) | − | 8.31136i | − | 0.537617i | −0.963194 | − | 0.268809i | \(-0.913370\pi\) | ||
0.963194 | − | 0.268809i | \(-0.0866299\pi\) | |||||||
\(240\) | 0.106690 | − | 1.47706i | 0.00688683 | − | 0.0953438i | ||||
\(241\) | 19.7156 | − | 11.3828i | 1.26999 | − | 0.733230i | 0.295006 | − | 0.955495i | \(-0.404678\pi\) |
0.974986 | + | 0.222265i | \(0.0713450\pi\) | |||||||
\(242\) | −23.9267 | + | 13.8141i | −1.53807 | + | 0.888003i | ||||
\(243\) | −15.3817 | + | 2.53072i | −0.986734 | + | 0.162346i | ||||
\(244\) | 2.19490i | 0.140514i | ||||||||
\(245\) | −5.94435 | + | 0.696476i | −0.379771 | + | 0.0444962i | ||||
\(246\) | −6.66210 | − | 13.7392i | −0.424760 | − | 0.875979i | ||||
\(247\) | 9.43235 | − | 16.3373i | 0.600166 | − | 1.03952i | ||||
\(248\) | −5.36139 | − | 9.28619i | −0.340448 | − | 0.589674i | ||||
\(249\) | 4.26851 | + | 2.89341i | 0.270506 | + | 0.183363i | ||||
\(250\) | 6.86324 | + | 3.96250i | 0.434070 | + | 0.250610i | ||||
\(251\) | −15.8913 | −1.00305 | −0.501525 | − | 0.865143i | \(-0.667228\pi\) | ||||
−0.501525 | + | 0.865143i | \(0.667228\pi\) | |||||||
\(252\) | 7.18899 | − | 3.36429i | 0.452864 | − | 0.211930i | ||||
\(253\) | −6.21516 | −0.390743 | ||||||||
\(254\) | 7.10622 | + | 4.10278i | 0.445884 | + | 0.257431i | ||||
\(255\) | −8.79123 | − | 5.95913i | −0.550528 | − | 0.373175i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −6.53324 | + | 11.3159i | −0.407532 | + | 0.705866i | −0.994613 | − | 0.103662i | \(-0.966944\pi\) |
0.587080 | + | 0.809529i | \(0.300277\pi\) | |||||||
\(258\) | 2.03113 | + | 4.18878i | 0.126452 | + | 0.260782i | ||||
\(259\) | 17.7749 | − | 11.6943i | 1.10448 | − | 0.726647i | ||||
\(260\) | − | 2.51681i | − | 0.156086i | ||||||
\(261\) | −8.60900 | + | 3.43242i | −0.532884 | + | 0.212461i | ||||
\(262\) | −14.8513 | + | 8.57443i | −0.917519 | + | 0.529730i | ||||
\(263\) | −6.01294 | + | 3.47157i | −0.370774 | + | 0.214066i | −0.673796 | − | 0.738917i | \(-0.735337\pi\) |
0.303023 | + | 0.952983i | \(0.402004\pi\) | |||||||
\(264\) | 0.775549 | − | 10.7370i | 0.0477318 | − | 0.660816i | ||||
\(265\) | − | 3.65386i | − | 0.224455i | ||||||
\(266\) | −0.988249 | − | 16.9269i | −0.0605934 | − | 1.03786i | ||||
\(267\) | 0.201286 | − | 0.0976030i | 0.0123185 | − | 0.00597320i | ||||
\(268\) | 6.62148 | − | 11.4687i | 0.404472 | − | 0.700565i | ||||
\(269\) | 0.536972 | + | 0.930063i | 0.0327398 | + | 0.0567069i | 0.881931 | − | 0.471378i | \(-0.156243\pi\) |
−0.849191 | + | 0.528085i | \(0.822910\pi\) | |||||||
\(270\) | 1.34378 | + | 4.23462i | 0.0817797 | + | 0.257711i | ||||
\(271\) | −16.9129 | − | 9.76469i | −1.02739 | − | 0.593162i | −0.111152 | − | 0.993803i | \(-0.535454\pi\) |
−0.916235 | + | 0.400641i | \(0.868787\pi\) | |||||||
\(272\) | −7.17168 | −0.434847 | ||||||||
\(273\) | 11.7740 | − | 6.58297i | 0.712597 | − | 0.398419i | ||||
\(274\) | −2.10931 | −0.127428 | ||||||||
\(275\) | 22.9777 | + | 13.2662i | 1.38561 | + | 0.799980i | ||||
\(276\) | 0.971841 | − | 1.43371i | 0.0584979 | − | 0.0862992i | ||||
\(277\) | 1.82142 | + | 3.15480i | 0.109439 | + | 0.189553i | 0.915543 | − | 0.402220i | \(-0.131761\pi\) |
−0.806104 | + | 0.591773i | \(0.798428\pi\) | |||||||
\(278\) | 2.22973 | − | 3.86201i | 0.133730 | − | 0.231628i | ||||
\(279\) | 25.2579 | + | 19.9208i | 1.51215 | + | 1.19263i | ||||
\(280\) | −1.24332 | − | 1.88980i | −0.0743026 | − | 0.112937i | ||||
\(281\) | − | 30.5871i | − | 1.82467i | −0.409442 | − | 0.912336i | \(-0.634277\pi\) | ||
0.409442 | − | 0.912336i | \(-0.365723\pi\) | |||||||
\(282\) | 5.47844 | + | 0.395716i | 0.326237 | + | 0.0235646i | ||||
\(283\) | −8.12568 | + | 4.69136i | −0.483021 | + | 0.278873i | −0.721675 | − | 0.692232i | \(-0.756627\pi\) |
0.238653 | + | 0.971105i | \(0.423294\pi\) | |||||||
\(284\) | −9.67521 | + | 5.58598i | −0.574118 | + | 0.331467i | ||||
\(285\) | 9.46598 | + | 0.683742i | 0.560716 | + | 0.0405014i | ||||
\(286\) | − | 18.2951i | − | 1.08181i | ||||||
\(287\) | −20.8447 | − | 10.4649i | −1.23042 | − | 0.617726i | ||||
\(288\) | 2.35554 | + | 1.85781i | 0.138801 | + | 0.109472i | ||||
\(289\) | −17.2165 | + | 29.8198i | −1.01273 | + | 1.75411i | ||||
\(290\) | 1.32070 | + | 2.28752i | 0.0775540 | + | 0.134328i | ||||
\(291\) | −7.09014 | + | 10.4597i | −0.415631 | + | 0.613161i | ||||
\(292\) | 3.00479 | + | 1.73482i | 0.175842 | + | 0.101522i | ||||
\(293\) | 6.98322 | 0.407964 | 0.203982 | − | 0.978975i | \(-0.434612\pi\) | ||||
0.203982 | + | 0.978975i | \(0.434612\pi\) | |||||||
\(294\) | 5.58878 | − | 10.7594i | 0.325944 | − | 0.627503i | ||||
\(295\) | −1.73089 | −0.100776 | ||||||||
\(296\) | 6.96447 | + | 4.02094i | 0.404802 | + | 0.233712i | ||||
\(297\) | 9.76814 | + | 30.7822i | 0.566805 | + | 1.78616i | ||||
\(298\) | 7.82783 | + | 13.5582i | 0.453454 | + | 0.785405i | ||||
\(299\) | 1.47181 | − | 2.54925i | 0.0851171 | − | 0.147427i | ||||
\(300\) | −6.65317 | + | 3.22610i | −0.384121 | + | 0.186259i | ||||
\(301\) | 6.35507 | + | 3.19053i | 0.366300 | + | 0.183899i | ||||
\(302\) | 23.4684i | 1.35046i | ||||||||
\(303\) | −0.382821 | + | 5.29991i | −0.0219925 | + | 0.304472i | ||||
\(304\) | 5.55007 | − | 3.20433i | 0.318318 | − | 0.183781i | ||||
\(305\) | −1.62522 | + | 0.938323i | −0.0930600 | + | 0.0537282i | ||||
\(306\) | 19.9851 | − | 7.96810i | 1.14247 | − | 0.455506i | ||||
\(307\) | − | 25.7590i | − | 1.47015i | −0.677988 | − | 0.735073i | \(-0.737148\pi\) | ||
0.677988 | − | 0.735073i | \(-0.262852\pi\) | |||||||
\(308\) | −9.03791 | − | 13.7373i | −0.514983 | − | 0.782755i | ||||
\(309\) | 0.251075 | + | 0.517790i | 0.0142832 | + | 0.0294560i | ||||
\(310\) | 4.58400 | − | 7.93972i | 0.260354 | − | 0.450946i | ||||
\(311\) | 5.78604 | + | 10.0217i | 0.328096 | + | 0.568279i | 0.982134 | − | 0.188183i | \(-0.0602597\pi\) |
−0.654038 | + | 0.756462i | \(0.726926\pi\) | |||||||
\(312\) | 4.22030 | + | 2.86073i | 0.238928 | + | 0.161957i | ||||
\(313\) | −20.1527 | − | 11.6352i | −1.13910 | − | 0.657658i | −0.192890 | − | 0.981220i | \(-0.561786\pi\) |
−0.946207 | + | 0.323563i | \(0.895119\pi\) | |||||||
\(314\) | −10.5104 | −0.593137 | ||||||||
\(315\) | 5.56440 | + | 3.88488i | 0.313518 | + | 0.218888i | ||||
\(316\) | −5.05134 | −0.284160 | ||||||||
\(317\) | 1.66918 | + | 0.963700i | 0.0937504 | + | 0.0541268i | 0.546142 | − | 0.837692i | \(-0.316096\pi\) |
−0.452392 | + | 0.891819i | \(0.649429\pi\) | |||||||
\(318\) | 6.12698 | + | 4.15317i | 0.343584 | + | 0.232898i | ||||
\(319\) | 9.60038 | + | 16.6283i | 0.537518 | + | 0.931008i | ||||
\(320\) | 0.427501 | − | 0.740454i | 0.0238980 | − | 0.0413926i | ||||
\(321\) | 11.1746 | + | 23.0454i | 0.623707 | + | 1.28627i | ||||
\(322\) | −0.154205 | − | 2.64125i | −0.00859352 | − | 0.147191i | ||||
\(323\) | − | 45.9609i | − | 2.55733i | ||||||
\(324\) | −8.62824 | − | 2.55999i | −0.479346 | − | 0.142221i | ||||
\(325\) | −10.8827 | + | 6.28312i | −0.603663 | + | 0.348525i | ||||
\(326\) | −4.83671 | + | 2.79248i | −0.267881 | + | 0.154661i | ||||
\(327\) | 0.631624 | − | 8.74443i | 0.0349289 | − | 0.483568i | ||||
\(328\) | − | 8.81569i | − | 0.486765i | ||||||
\(329\) | 7.00932 | − | 4.61150i | 0.386436 | − | 0.254240i | ||||
\(330\) | 8.28179 | − | 4.01582i | 0.455898 | − | 0.221064i | ||||
\(331\) | −10.5212 | + | 18.2232i | −0.578296 | + | 1.00164i | 0.417379 | + | 0.908733i | \(0.362949\pi\) |
−0.995675 | + | 0.0929055i | \(0.970385\pi\) | |||||||
\(332\) | 1.48863 | + | 2.57837i | 0.0816989 | + | 0.141507i | ||||
\(333\) | −23.8752 | − | 3.46717i | −1.30835 | − | 0.190000i | ||||
\(334\) | −5.98225 | − | 3.45385i | −0.327334 | − | 0.188987i | ||||
\(335\) | 11.3228 | 0.618629 | ||||||||
\(336\) | 4.58214 | + | 0.0631880i | 0.249976 | + | 0.00344719i | ||||
\(337\) | 10.2300 | 0.557263 | 0.278632 | − | 0.960398i | \(-0.410119\pi\) | ||||
0.278632 | + | 0.960398i | \(0.410119\pi\) | |||||||
\(338\) | −3.75429 | − | 2.16754i | −0.204206 | − | 0.117899i | ||||
\(339\) | 8.66335 | − | 12.7806i | 0.470528 | − | 0.694148i | ||||
\(340\) | −3.06590 | − | 5.31030i | −0.166272 | − | 0.287991i | ||||
\(341\) | 33.3219 | − | 57.7151i | 1.80448 | − | 3.12545i | ||||
\(342\) | −11.9061 | + | 15.0958i | −0.643806 | + | 0.816290i | ||||
\(343\) | −3.22364 | − | 18.2375i | −0.174060 | − | 0.984735i | ||||
\(344\) | 2.68771i | 0.144912i | ||||||||
\(345\) | 1.47706 | + | 0.106690i | 0.0795222 | + | 0.00574401i | ||||
\(346\) | −19.0122 | + | 10.9767i | −1.02210 | + | 0.590112i | ||||
\(347\) | 7.62873 | − | 4.40445i | 0.409532 | − | 0.236443i | −0.281057 | − | 0.959691i | \(-0.590685\pi\) |
0.690588 | + | 0.723248i | \(0.257352\pi\) | |||||||
\(348\) | −5.33700 | − | 0.385499i | −0.286093 | − | 0.0206649i | ||||
\(349\) | − | 8.74478i | − | 0.468097i | −0.972225 | − | 0.234049i | \(-0.924802\pi\) | ||
0.972225 | − | 0.234049i | \(-0.0751975\pi\) | |||||||
\(350\) | −5.06762 | + | 10.0940i | −0.270875 | + | 0.539545i | ||||
\(351\) | −14.9390 | − | 3.28297i | −0.797387 | − | 0.175232i | ||||
\(352\) | 3.10758 | − | 5.38248i | 0.165634 | − | 0.286887i | ||||
\(353\) | 14.9299 | + | 25.8593i | 0.794636 | + | 1.37635i | 0.923070 | + | 0.384632i | \(0.125672\pi\) |
−0.128434 | + | 0.991718i | \(0.540995\pi\) | |||||||
\(354\) | 1.96742 | − | 2.90245i | 0.104567 | − | 0.154263i | ||||
\(355\) | −8.27232 | − | 4.77603i | −0.439049 | − | 0.253485i | ||||
\(356\) | 0.129154 | 0.00684515 | ||||||||
\(357\) | 16.8233 | − | 28.2324i | 0.890382 | − | 1.49422i | ||||
\(358\) | 6.25760 | 0.330725 | ||||||||
\(359\) | −23.9879 | − | 13.8494i | −1.26603 | − | 0.730945i | −0.291799 | − | 0.956480i | \(-0.594254\pi\) |
−0.974235 | + | 0.225534i | \(0.927587\pi\) | |||||||
\(360\) | −0.368626 | + | 2.53838i | −0.0194283 | + | 0.133784i | ||||
\(361\) | 11.0355 | + | 19.1140i | 0.580815 | + | 1.00600i | ||||
\(362\) | −6.98435 | + | 12.0972i | −0.367089 | + | 0.635817i | ||||
\(363\) | 43.0583 | − | 20.8789i | 2.25998 | − | 1.09586i | ||||
\(364\) | 7.77486 | − | 0.453922i | 0.407513 | − | 0.0237920i | ||||
\(365\) | 2.96654i | 0.155276i | ||||||||
\(366\) | 0.273888 | − | 3.79180i | 0.0143163 | − | 0.198201i | ||||
\(367\) | −7.26723 | + | 4.19574i | −0.379346 | + | 0.219016i | −0.677534 | − | 0.735492i | \(-0.736951\pi\) |
0.298188 | + | 0.954507i | \(0.403618\pi\) | |||||||
\(368\) | 0.866025 | − | 0.500000i | 0.0451447 | − | 0.0260643i | ||||
\(369\) | 9.79468 | + | 24.5665i | 0.509891 | + | 1.27888i | ||||
\(370\) | 6.87582i | 0.357457i | ||||||||
\(371\) | 11.2874 | − | 0.658998i | 0.586014 | − | 0.0342135i | ||||
\(372\) | 8.10330 | + | 16.7114i | 0.420136 | + | 0.866445i | ||||
\(373\) | −10.0519 | + | 17.4103i | −0.520466 | + | 0.901473i | 0.479251 | + | 0.877678i | \(0.340908\pi\) |
−0.999717 | + | 0.0237950i | \(0.992425\pi\) | |||||||
\(374\) | −22.2865 | − | 38.6014i | −1.15241 | − | 1.99603i | ||||
\(375\) | −11.3621 | − | 7.70183i | −0.586739 | − | 0.397721i | ||||
\(376\) | 2.74636 | + | 1.58561i | 0.141633 | + | 0.0817716i | ||||
\(377\) | −9.09387 | −0.468358 | ||||||||
\(378\) | −12.8391 | + | 4.91491i | −0.660374 | + | 0.252796i | ||||
\(379\) | −10.9858 | −0.564301 | −0.282151 | − | 0.959370i | \(-0.591048\pi\) | ||||
−0.282151 | + | 0.959370i | \(0.591048\pi\) | |||||||
\(380\) | 4.74532 | + | 2.73971i | 0.243430 | + | 0.140544i | ||||
\(381\) | −11.7644 | − | 7.97449i | −0.602708 | − | 0.408546i | ||||
\(382\) | 4.01379 | + | 6.95208i | 0.205363 | + | 0.355699i | ||||
\(383\) | 5.60018 | − | 9.69979i | 0.286156 | − | 0.495636i | −0.686733 | − | 0.726910i | \(-0.740956\pi\) |
0.972889 | + | 0.231274i | \(0.0742892\pi\) | |||||||
\(384\) | 0.755709 | + | 1.55849i | 0.0385646 | + | 0.0795316i | ||||
\(385\) | 6.30812 | − | 12.5649i | 0.321491 | − | 0.640365i | ||||
\(386\) | 7.81759i | 0.397905i | ||||||||
\(387\) | −2.98618 | − | 7.48977i | −0.151796 | − | 0.380727i | ||||
\(388\) | −6.31815 | + | 3.64779i | −0.320756 | + | 0.185188i | ||||
\(389\) | 13.3793 | − | 7.72453i | 0.678357 | − | 0.391649i | −0.120879 | − | 0.992667i | \(-0.538571\pi\) |
0.799236 | + | 0.601018i | \(0.205238\pi\) | |||||||
\(390\) | −0.314056 | + | 4.34791i | −0.0159028 | + | 0.220165i | ||||
\(391\) | − | 7.17168i | − | 0.362687i | ||||||
\(392\) | 5.61370 | − | 4.18168i | 0.283534 | − | 0.211207i | ||||
\(393\) | 26.7264 | − | 12.9596i | 1.34817 | − | 0.653723i | ||||
\(394\) | −8.26501 | + | 14.3154i | −0.416385 | + | 0.721200i | ||||
\(395\) | −2.15945 | − | 3.74029i | −0.108654 | − | 0.188194i | ||||
\(396\) | −2.67960 | + | 18.4519i | −0.134655 | + | 0.927244i | ||||
\(397\) | −16.2225 | − | 9.36607i | −0.814184 | − | 0.470070i | 0.0342225 | − | 0.999414i | \(-0.489105\pi\) |
−0.848407 | + | 0.529345i | \(0.822438\pi\) | |||||||
\(398\) | −2.16510 | −0.108527 | ||||||||
\(399\) | −0.404951 | + | 29.3654i | −0.0202729 | + | 1.47011i | ||||
\(400\) | −4.26897 | −0.213449 | ||||||||
\(401\) | 31.9375 | + | 18.4391i | 1.59488 | + | 0.920805i | 0.992452 | + | 0.122633i | \(0.0391337\pi\) |
0.602429 | + | 0.798172i | \(0.294200\pi\) | |||||||
\(402\) | −12.8701 | + | 18.9866i | −0.641900 | + | 0.946965i | ||||
\(403\) | 15.7819 | + | 27.3351i | 0.786153 | + | 1.36166i | ||||
\(404\) | −1.53394 | + | 2.65686i | −0.0763163 | + | 0.132184i | ||||
\(405\) | −1.79303 | − | 7.48321i | −0.0890964 | − | 0.371844i | ||||
\(406\) | −6.82835 | + | 4.49244i | −0.338885 | + | 0.222956i | ||||
\(407\) | 49.9815i | 2.47749i | ||||||||
\(408\) | 12.3894 | + | 0.894908i | 0.613368 | + | 0.0443045i | ||||
\(409\) | −4.51360 | + | 2.60593i | −0.223183 | + | 0.128855i | −0.607423 | − | 0.794378i | \(-0.707797\pi\) |
0.384240 | + | 0.923233i | \(0.374463\pi\) | |||||||
\(410\) | 6.52761 | − | 3.76872i | 0.322376 | − | 0.186124i | ||||
\(411\) | 3.64393 | + | 0.263207i | 0.179742 | + | 0.0129830i | ||||
\(412\) | 0.332237i | 0.0163682i | ||||||||
\(413\) | −0.312178 | − | 5.34703i | −0.0153613 | − | 0.263110i | ||||
\(414\) | −1.85781 | + | 2.35554i | −0.0913062 | + | 0.115768i | ||||
\(415\) | −1.27278 | + | 2.20452i | −0.0624782 | + | 0.108215i | ||||
\(416\) | 1.47181 | + | 2.54925i | 0.0721615 | + | 0.124987i | ||||
\(417\) | −4.33389 | + | 6.39358i | −0.212232 | + | 0.313095i | ||||
\(418\) | 34.4945 | + | 19.9154i | 1.68718 | + | 0.974095i | ||||
\(419\) | 14.0245 | 0.685140 | 0.342570 | − | 0.939492i | \(-0.388703\pi\) | ||||
0.342570 | + | 0.939492i | \(0.388703\pi\) | |||||||
\(420\) | 1.91208 | + | 3.41988i | 0.0933001 | + | 0.166873i | ||||
\(421\) | −2.64519 | −0.128919 | −0.0644593 | − | 0.997920i | \(-0.520532\pi\) | ||||
−0.0644593 | + | 0.997920i | \(0.520532\pi\) | |||||||
\(422\) | 9.96737 | + | 5.75466i | 0.485204 | + | 0.280133i | ||||
\(423\) | −9.41491 | − | 1.36724i | −0.457769 | − | 0.0664775i | ||||
\(424\) | 2.13676 | + | 3.70097i | 0.103770 | + | 0.179735i | ||||
\(425\) | −15.3078 | + | 26.5140i | −0.742539 | + | 1.28612i | ||||
\(426\) | 17.4114 | − | 8.44276i | 0.843587 | − | 0.409053i | ||||
\(427\) | −3.19176 | − | 4.85137i | −0.154460 | − | 0.234774i | ||||
\(428\) | 14.7869i | 0.714754i | ||||||||
\(429\) | −2.28293 | + | 31.6057i | −0.110221 | + | 1.52594i | ||||
\(430\) | −1.99012 | + | 1.14900i | −0.0959723 | + | 0.0554096i | ||||
\(431\) | −7.13207 | + | 4.11770i | −0.343540 | + | 0.198343i | −0.661836 | − | 0.749648i | \(-0.730223\pi\) |
0.318296 | + | 0.947991i | \(0.396889\pi\) | |||||||
\(432\) | −3.83748 | − | 3.50339i | −0.184631 | − | 0.168557i | ||||
\(433\) | − | 16.1796i | − | 0.777541i | −0.921335 | − | 0.388771i | \(-0.872900\pi\) | ||
0.921335 | − | 0.388771i | \(-0.127100\pi\) | |||||||
\(434\) | 25.3539 | + | 12.7288i | 1.21703 | + | 0.611002i | ||||
\(435\) | −1.99613 | − | 4.11660i | −0.0957070 | − | 0.197376i | ||||
\(436\) | 2.53088 | − | 4.38361i | 0.121207 | − | 0.209937i | ||||
\(437\) | 3.20433 | + | 5.55007i | 0.153284 | + | 0.265496i | ||||
\(438\) | −4.97445 | − | 3.37193i | −0.237688 | − | 0.161117i | ||||
\(439\) | 34.4931 | + | 19.9146i | 1.64627 | + | 0.950472i | 0.978538 | + | 0.206066i | \(0.0660662\pi\) |
0.667728 | + | 0.744406i | \(0.267267\pi\) | |||||||
\(440\) | 5.31397 | 0.253334 | ||||||||
\(441\) | −10.9975 | + | 17.8901i | −0.523690 | + | 0.851909i | ||||
\(442\) | 21.1107 | 1.00413 | ||||||||
\(443\) | −0.0707186 | − | 0.0408294i | −0.00335994 | − | 0.00193986i | 0.498319 | − | 0.866994i | \(-0.333951\pi\) |
−0.501679 | + | 0.865054i | \(0.667284\pi\) | |||||||
\(444\) | −11.5297 | − | 7.81543i | −0.547177 | − | 0.370904i | ||||
\(445\) | 0.0552135 | + | 0.0956326i | 0.00261737 | + | 0.00453342i | ||||
\(446\) | 6.63439 | − | 11.4911i | 0.314148 | − | 0.544120i | ||||
\(447\) | −11.8311 | − | 24.3992i | −0.559593 | − | 1.15404i | ||||
\(448\) | 2.36450 | + | 1.18708i | 0.111712 | + | 0.0560843i | ||||
\(449\) | 17.2166i | 0.812499i | 0.913762 | + | 0.406250i | \(0.133164\pi\) | ||||
−0.913762 | + | 0.406250i | \(0.866836\pi\) | |||||||
\(450\) | 11.8962 | − | 4.74304i | 0.560794 | − | 0.223589i | ||||
\(451\) | 47.4503 | − | 27.3954i | 2.23435 | − | 1.29000i | ||||
\(452\) | 7.72007 | − | 4.45718i | 0.363122 | − | 0.209648i | ||||
\(453\) | 2.92847 | − | 40.5429i | 0.137592 | − | 1.90487i | ||||
\(454\) | − | 2.79001i | − | 0.130942i | ||||||
\(455\) | 3.65987 | + | 5.56287i | 0.171577 | + | 0.260791i | ||||
\(456\) | −9.98786 | + | 4.84309i | −0.467725 | + | 0.226798i | ||||
\(457\) | 1.05217 | − | 1.82240i | 0.0492182 | − | 0.0852485i | −0.840367 | − | 0.542018i | \(-0.817660\pi\) |
0.889585 | + | 0.456770i | \(0.150994\pi\) | |||||||
\(458\) | −3.42806 | − | 5.93757i | −0.160183 | − | 0.277444i | ||||
\(459\) | −35.5196 | + | 11.2715i | −1.65791 | + | 0.526107i | ||||
\(460\) | 0.740454 | + | 0.427501i | 0.0345238 | + | 0.0199323i | ||||
\(461\) | −7.03821 | −0.327802 | −0.163901 | − | 0.986477i | \(-0.552408\pi\) | ||||
−0.163901 | + | 0.986477i | \(0.552408\pi\) | |||||||
\(462\) | 13.8992 | + | 24.8597i | 0.646652 | + | 1.15658i | ||||
\(463\) | −26.4032 | −1.22706 | −0.613531 | − | 0.789671i | \(-0.710251\pi\) | ||||
−0.613531 | + | 0.789671i | \(0.710251\pi\) | |||||||
\(464\) | −2.67545 | − | 1.54467i | −0.124205 | − | 0.0717096i | ||||
\(465\) | −8.90983 | + | 13.1443i | −0.413184 | + | 0.609550i | ||||
\(466\) | −0.521853 | − | 0.903877i | −0.0241744 | − | 0.0418713i | ||||
\(467\) | −7.47490 | + | 12.9469i | −0.345897 | + | 0.599112i | −0.985516 | − | 0.169580i | \(-0.945759\pi\) |
0.639619 | + | 0.768692i | \(0.279092\pi\) | |||||||
\(468\) | −6.93381 | − | 5.46869i | −0.320516 | − | 0.252790i | ||||
\(469\) | 2.04213 | + | 34.9780i | 0.0942970 | + | 1.61514i | ||||
\(470\) | 2.71140i | 0.125068i | ||||||||
\(471\) | 18.1573 | + | 1.31153i | 0.836642 | + | 0.0604320i | ||||
\(472\) | 1.75321 | − | 1.01222i | 0.0806979 | − | 0.0465910i | ||||
\(473\) | −14.4665 | + | 8.35226i | −0.665172 | + | 0.384037i | ||||
\(474\) | 8.72645 | + | 0.630325i | 0.400819 | + | 0.0289518i | ||||
\(475\) | − | 27.3584i | − | 1.25529i | ||||||
\(476\) | 15.8515 | − | 10.4289i | 0.726552 | − | 0.478006i | ||||
\(477\) | −10.0664 | − | 7.93936i | −0.460909 | − | 0.363518i | ||||
\(478\) | −4.15568 | + | 7.19785i | −0.190076 | + | 0.329222i | ||||
\(479\) | 2.51296 | + | 4.35257i | 0.114820 | + | 0.198874i | 0.917708 | − | 0.397256i | \(-0.130038\pi\) |
−0.802888 | + | 0.596130i | \(0.796704\pi\) | |||||||
\(480\) | −0.830926 | + | 1.22583i | −0.0379264 | + | 0.0559510i | ||||
\(481\) | −20.5008 | − | 11.8361i | −0.934755 | − | 0.539681i | ||||
\(482\) | −22.7656 | −1.03694 | ||||||||
\(483\) | −0.0631880 | + | 4.58214i | −0.00287515 | + | 0.208495i | ||||
\(484\) | 27.6282 | 1.25583 | ||||||||
\(485\) | −5.40204 | − | 3.11887i | −0.245294 | − | 0.141620i | ||||
\(486\) | 14.5863 | + | 5.49917i | 0.661646 | + | 0.249447i | ||||
\(487\) | −5.22928 | − | 9.05739i | −0.236961 | − | 0.410429i | 0.722879 | − | 0.690974i | \(-0.242818\pi\) |
−0.959841 | + | 0.280545i | \(0.909485\pi\) | |||||||
\(488\) | 1.09745 | − | 1.90084i | 0.0496792 | − | 0.0860470i | ||||
\(489\) | 8.70412 | − | 4.22060i | 0.393614 | − | 0.190862i | ||||
\(490\) | 5.49620 | + | 2.36901i | 0.248293 | + | 0.107021i | ||||
\(491\) | − | 9.33223i | − | 0.421158i | −0.977577 | − | 0.210579i | \(-0.932465\pi\) | ||
0.977577 | − | 0.210579i | \(-0.0675349\pi\) | |||||||
\(492\) | −1.10005 | + | 15.2295i | −0.0495942 | + | 0.686601i | ||||
\(493\) | −19.1875 | + | 11.0779i | −0.864160 | + | 0.498923i | ||||
\(494\) | −16.3373 | + | 9.43235i | −0.735050 | + | 0.424381i | ||||
\(495\) | −14.8083 | + | 5.90409i | −0.665585 | + | 0.265369i | ||||
\(496\) | 10.7228i | 0.481467i | ||||||||
\(497\) | 13.2620 | − | 26.4161i | 0.594883 | − | 1.18492i | ||||
\(498\) | −2.24994 | − | 4.64003i | −0.100822 | − | 0.207925i | ||||
\(499\) | 1.51334 | − | 2.62118i | 0.0677463 | − | 0.117340i | −0.830163 | − | 0.557521i | \(-0.811752\pi\) |
0.897909 | + | 0.440181i | \(0.145086\pi\) | |||||||
\(500\) | −3.96250 | − | 6.86324i | −0.177208 | − | 0.306934i | ||||
\(501\) | 9.90365 | + | 6.71319i | 0.442463 | + | 0.299923i | ||||
\(502\) | 13.7623 | + | 7.94565i | 0.614240 | + | 0.354632i | ||||
\(503\) | 24.5774 | 1.09585 | 0.547926 | − | 0.836527i | \(-0.315418\pi\) | ||||
0.547926 | + | 0.836527i | \(0.315418\pi\) | |||||||
\(504\) | −7.90799 | − | 0.680936i | −0.352250 | − | 0.0303313i | ||||
\(505\) | −2.62304 | −0.116724 | ||||||||
\(506\) | 5.38248 | + | 3.10758i | 0.239281 | + | 0.138149i | ||||
\(507\) | 6.21524 | + | 4.21300i | 0.276029 | + | 0.187106i | ||||
\(508\) | −4.10278 | − | 7.10622i | −0.182031 | − | 0.315287i | ||||
\(509\) | −12.6487 | + | 21.9082i | −0.560643 | + | 0.971063i | 0.436797 | + | 0.899560i | \(0.356113\pi\) |
−0.997440 | + | 0.0715029i | \(0.977220\pi\) | |||||||
\(510\) | 4.63386 | + | 9.55637i | 0.205191 | + | 0.423163i | ||||
\(511\) | −9.16418 | + | 0.535035i | −0.405399 | + | 0.0236686i | ||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | 22.4520 | − | 24.5931i | 0.991281 | − | 1.08581i | ||||
\(514\) | 11.3159 | − | 6.53324i | 0.499123 | − | 0.288169i | ||||
\(515\) | −0.246006 | + | 0.142032i | −0.0108403 | + | 0.00625867i | ||||
\(516\) | 0.335382 | − | 4.64315i | 0.0147644 | − | 0.204403i | ||||
\(517\) | 19.7096i | 0.866829i | ||||||||
\(518\) | −21.2406 | + | 1.24010i | −0.933260 | + | 0.0544868i | ||||
\(519\) | 34.2143 | − | 16.5904i | 1.50184 | − | 0.728238i | ||||
\(520\) | −1.25840 | + | 2.17962i | −0.0551846 | + | 0.0955825i | ||||
\(521\) | −6.39848 | − | 11.0825i | −0.280323 | − | 0.485533i | 0.691142 | − | 0.722719i | \(-0.257108\pi\) |
−0.971464 | + | 0.237187i | \(0.923775\pi\) | |||||||
\(522\) | 9.17182 | + | 1.33194i | 0.401440 | + | 0.0582974i | ||||
\(523\) | 16.8626 | + | 9.73564i | 0.737351 | + | 0.425710i | 0.821106 | − | 0.570776i | \(-0.193358\pi\) |
−0.0837541 | + | 0.996486i | \(0.526691\pi\) | |||||||
\(524\) | 17.1489 | 0.749151 | ||||||||
\(525\) | 10.0141 | − | 16.8055i | 0.437052 | − | 0.733451i | ||||
\(526\) | 6.94314 | 0.302735 | ||||||||
\(527\) | 66.5976 | + | 38.4501i | 2.90104 | + | 1.67491i | ||||
\(528\) | −6.04014 | + | 8.91073i | −0.262863 | + | 0.387790i | ||||
\(529\) | 0.500000 | + | 0.866025i | 0.0217391 | + | 0.0376533i | ||||
\(530\) | −1.82693 | + | 3.16434i | −0.0793568 | + | 0.137450i | ||||
\(531\) | −3.76100 | + | 4.76862i | −0.163214 | + | 0.206940i | ||||
\(532\) | −7.60760 | + | 15.1533i | −0.329831 | + | 0.656977i | ||||
\(533\) | 25.9501i | 1.12402i | ||||||||
\(534\) | −0.223120 | − | 0.0161163i | −0.00965535 | − | 0.000697421i | ||||
\(535\) | −10.9490 | + | 6.32143i | −0.473369 | + | 0.273299i | ||||
\(536\) | −11.4687 | + | 6.62148i | −0.495374 | + | 0.286005i | ||||
\(537\) | −10.8103 | − | 0.780846i | −0.466500 | − | 0.0336960i | ||||
\(538\) | − | 1.07394i | − | 0.0463010i | ||||||
\(539\) | 39.9528 | + | 17.2207i | 1.72089 | + | 0.741750i | ||||
\(540\) | 0.953567 | − | 4.33918i | 0.0410350 | − | 0.186729i | ||||
\(541\) | −6.34750 | + | 10.9942i | −0.272901 | + | 0.472678i | −0.969603 | − | 0.244682i | \(-0.921316\pi\) |
0.696703 | + | 0.717360i | \(0.254650\pi\) | |||||||
\(542\) | 9.76469 | + | 16.9129i | 0.419429 | + | 0.726473i | ||||
\(543\) | 13.5754 | − | 20.0271i | 0.582574 | − | 0.859444i | ||||
\(544\) | 6.21086 | + | 3.58584i | 0.266288 | + | 0.153742i | ||||
\(545\) | 4.32781 | 0.185383 | ||||||||
\(546\) | −13.4881 | − | 0.186002i | −0.577237 | − | 0.00796014i | ||||
\(547\) | 2.59433 | 0.110926 | 0.0554628 | − | 0.998461i | \(-0.482337\pi\) | ||||
0.0554628 | + | 0.998461i | \(0.482337\pi\) | |||||||
\(548\) | 1.82671 | + | 1.05465i | 0.0780334 | + | 0.0450526i | ||||
\(549\) | −0.946309 | + | 6.51635i | −0.0403875 | + | 0.278111i | ||||
\(550\) | −13.2662 | − | 22.9777i | −0.565671 | − | 0.979771i | ||||
\(551\) | 9.89928 | − | 17.1461i | 0.421724 | − | 0.730447i | ||||
\(552\) | −1.55849 | + | 0.755709i | −0.0663339 | + | 0.0321651i | ||||
\(553\) | 11.1649 | − | 7.34552i | 0.474781 | − | 0.312363i | ||||
\(554\) | − | 3.64284i | − | 0.154770i | ||||||
\(555\) | 0.857990 | − | 11.8783i | 0.0364197 | − | 0.504207i | ||||
\(556\) | −3.86201 | + | 2.22973i | −0.163786 | + | 0.0945617i | ||||
\(557\) | 1.21373 | − | 0.700746i | 0.0514273 | − | 0.0296916i | −0.474066 | − | 0.880489i | \(-0.657214\pi\) |
0.525493 | + | 0.850798i | \(0.323881\pi\) | |||||||
\(558\) | −11.9135 | − | 29.8809i | −0.504341 | − | 1.26496i | ||||
\(559\) | − | 7.91160i | − | 0.334625i | ||||||
\(560\) | 0.131846 | + | 2.25828i | 0.00557150 | + | 0.0954297i | ||||
\(561\) | 33.6843 | + | 69.4669i | 1.42215 | + | 2.93289i | ||||
\(562\) | −15.2935 | + | 26.4892i | −0.645119 | + | 1.11738i | ||||
\(563\) | −20.0197 | − | 34.6751i | −0.843729 | − | 1.46138i | −0.886721 | − | 0.462306i | \(-0.847022\pi\) |
0.0429917 | − | 0.999075i | \(-0.486311\pi\) | |||||||
\(564\) | −4.54661 | − | 3.08192i | −0.191447 | − | 0.129772i | ||||
\(565\) | 6.60068 | + | 3.81090i | 0.277693 | + | 0.160326i | ||||
\(566\) | 9.38272 | 0.394385 | ||||||||
\(567\) | 22.7936 | − | 6.88863i | 0.957240 | − | 0.289295i | ||||
\(568\) | 11.1720 | 0.468765 | ||||||||
\(569\) | −16.7483 | − | 9.66966i | −0.702127 | − | 0.405373i | 0.106012 | − | 0.994365i | \(-0.466192\pi\) |
−0.808139 | + | 0.588991i | \(0.799525\pi\) | |||||||
\(570\) | −7.85590 | − | 5.32513i | −0.329048 | − | 0.223045i | ||||
\(571\) | −18.6294 | − | 32.2671i | −0.779617 | − | 1.35034i | −0.932163 | − | 0.362040i | \(-0.882080\pi\) |
0.152546 | − | 0.988296i | \(-0.451253\pi\) | |||||||
\(572\) | −9.14754 | + | 15.8440i | −0.382478 | + | 0.662471i | ||||
\(573\) | −6.06651 | − | 12.5109i | −0.253432 | − | 0.522651i | ||||
\(574\) | 12.8195 | + | 19.4852i | 0.535077 | + | 0.813298i | ||||
\(575\) | − | 4.26897i | − | 0.178028i | ||||||
\(576\) | −1.11105 | − | 2.78668i | −0.0462938 | − | 0.116112i | ||||
\(577\) | 15.9404 | − | 9.20317i | 0.663606 | − | 0.383133i | −0.130044 | − | 0.991508i | \(-0.541512\pi\) |
0.793650 | + | 0.608375i | \(0.208178\pi\) | |||||||
\(578\) | 29.8198 | − | 17.2165i | 1.24034 | − | 0.716111i | ||||
\(579\) | 0.975507 | − | 13.5053i | 0.0405407 | − | 0.561260i | ||||
\(580\) | − | 2.64140i | − | 0.109678i | ||||||
\(581\) | −7.03969 | − | 3.53424i | −0.292056 | − | 0.146625i | ||||
\(582\) | 11.3701 | − | 5.51333i | 0.471306 | − | 0.228535i | ||||
\(583\) | −13.2803 | + | 23.0021i | −0.550013 | + | 0.952650i | ||||
\(584\) | −1.73482 | − | 3.00479i | −0.0717872 | − | 0.124339i | ||||
\(585\) | 1.08509 | − | 7.47204i | 0.0448632 | − | 0.308931i | ||||
\(586\) | −6.04765 | − | 3.49161i | −0.249826 | − | 0.144237i | ||||
\(587\) | 18.8530 | 0.778145 | 0.389073 | − | 0.921207i | \(-0.372796\pi\) | ||||
0.389073 | + | 0.921207i | \(0.372796\pi\) | |||||||
\(588\) | −10.2197 | + | 6.52356i | −0.421455 | + | 0.269027i | ||||
\(589\) | −68.7187 | −2.83150 | ||||||||
\(590\) | 1.49900 | + | 0.865446i | 0.0617127 | + | 0.0356299i | ||||
\(591\) | 16.0645 | − | 23.6993i | 0.660807 | − | 0.974857i | ||||
\(592\) | −4.02094 | − | 6.96447i | −0.165260 | − | 0.286238i | ||||
\(593\) | −15.0690 | + | 26.1003i | −0.618811 | + | 1.07181i | 0.370892 | + | 0.928676i | \(0.379052\pi\) |
−0.989703 | + | 0.143136i | \(0.954281\pi\) | |||||||
\(594\) | 6.93164 | − | 31.5422i | 0.284409 | − | 1.29419i | ||||
\(595\) | 14.4986 | + | 7.27895i | 0.594385 | + | 0.298408i | ||||
\(596\) | − | 15.6557i | − | 0.641281i | ||||||
\(597\) | 3.74031 | + | 0.270169i | 0.153081 | + | 0.0110573i | ||||
\(598\) | −2.54925 | + | 1.47181i | −0.104247 | + | 0.0601869i | ||||
\(599\) | 13.4173 | − | 7.74650i | 0.548217 | − | 0.316513i | −0.200185 | − | 0.979758i | \(-0.564154\pi\) |
0.748403 | + | 0.663245i | \(0.230821\pi\) | |||||||
\(600\) | 7.37486 | + | 0.532698i | 0.301077 | + | 0.0217473i | ||||
\(601\) | 29.1324i | 1.18833i | 0.804342 | + | 0.594167i | \(0.202518\pi\) | ||||
−0.804342 | + | 0.594167i | \(0.797482\pi\) | |||||||
\(602\) | −3.90839 | − | 5.94062i | −0.159294 | − | 0.242121i | ||||
\(603\) | 24.6029 | − | 31.1943i | 1.00191 | − | 1.27033i | ||||
\(604\) | 11.7342 | − | 20.3242i | 0.477458 | − | 0.826982i | ||||
\(605\) | 11.8111 | + | 20.4574i | 0.480188 | + | 0.831711i | ||||
\(606\) | 2.98149 | − | 4.39845i | 0.121115 | − | 0.178675i | ||||
\(607\) | 18.8256 | + | 10.8690i | 0.764107 | + | 0.441157i | 0.830768 | − | 0.556618i | \(-0.187901\pi\) |
−0.0666615 | + | 0.997776i | \(0.521235\pi\) | |||||||
\(608\) | −6.40866 | −0.259906 | ||||||||
\(609\) | 12.3569 | − | 6.90885i | 0.500726 | − | 0.279961i | ||||
\(610\) | 1.87665 | 0.0759831 | ||||||||
\(611\) | −8.08425 | − | 4.66744i | −0.327054 | − | 0.188825i | ||||
\(612\) | −21.2917 | − | 3.09200i | −0.860666 | − | 0.124987i | ||||
\(613\) | 17.7986 | + | 30.8280i | 0.718877 | + | 1.24513i | 0.961445 | + | 0.274997i | \(0.0886768\pi\) |
−0.242568 | + | 0.970134i | \(0.577990\pi\) | |||||||
\(614\) | −12.8795 | + | 22.3080i | −0.519775 | + | 0.900277i | ||||
\(615\) | −11.7470 | + | 5.69611i | −0.473687 | + | 0.229689i | ||||
\(616\) | 0.958409 | + | 16.4158i | 0.0386154 | + | 0.661412i | ||||
\(617\) | 7.51810i | 0.302667i | 0.988483 | + | 0.151334i | \(0.0483568\pi\) | ||||
−0.988483 | + | 0.151334i | \(0.951643\pi\) | |||||||
\(618\) | 0.0414578 | − | 0.573957i | 0.00166768 | − | 0.0230879i | ||||
\(619\) | 7.89716 | − | 4.55943i | 0.317414 | − | 0.183259i | −0.332826 | − | 0.942988i | \(-0.608002\pi\) |
0.650239 | + | 0.759730i | \(0.274669\pi\) | |||||||
\(620\) | −7.93972 | + | 4.58400i | −0.318867 | + | 0.184098i | ||||
\(621\) | 3.50339 | − | 3.83748i | 0.140586 | − | 0.153993i | ||||
\(622\) | − | 11.5721i | − | 0.463998i | ||||||
\(623\) | −0.285468 | + | 0.187812i | −0.0114370 | + | 0.00752454i | ||||
\(624\) | −2.22452 | − | 4.58762i | −0.0890522 | − | 0.183652i | ||||
\(625\) | −7.28448 | + | 12.6171i | −0.291379 | + | 0.504684i | ||||
\(626\) | 11.6352 | + | 20.1527i | 0.465034 | + | 0.805463i | ||||
\(627\) | −57.1059 | − | 38.7092i | −2.28059 | − | 1.54590i | ||||
\(628\) | 9.10228 | + | 5.25521i | 0.363221 | + | 0.209706i | ||||
\(629\) | −57.6738 | −2.29960 | ||||||||
\(630\) | −2.87647 | − | 6.14660i | −0.114601 | − | 0.244887i | ||||
\(631\) | 19.5301 | 0.777480 | 0.388740 | − | 0.921348i | \(-0.372911\pi\) | ||||
0.388740 | + | 0.921348i | \(0.372911\pi\) | |||||||
\(632\) | 4.37459 | + | 2.52567i | 0.174012 | + | 0.100466i | ||||
\(633\) | −16.5010 | − | 11.1852i | −0.655857 | − | 0.444573i | ||||
\(634\) | −0.963700 | − | 1.66918i | −0.0382734 | − | 0.0662915i | ||||
\(635\) | 3.50788 | − | 6.07583i | 0.139206 | − | 0.241112i | ||||
\(636\) | −3.22953 | − | 6.66024i | −0.128059 | − | 0.264096i | ||||
\(637\) | −16.5246 | + | 12.3093i | −0.654729 | + | 0.487712i | ||||
\(638\) | − | 19.2008i | − | 0.760165i | ||||||
\(639\) | −31.1327 | + | 12.4126i | −1.23159 | + | 0.491036i | ||||
\(640\) | −0.740454 | + | 0.427501i | −0.0292690 | + | 0.0168985i | ||||
\(641\) | 22.3428 | − | 12.8996i | 0.882487 | − | 0.509504i | 0.0110096 | − | 0.999939i | \(-0.496495\pi\) |
0.871478 | + | 0.490435i | \(0.163162\pi\) | |||||||
\(642\) | 1.84517 | − | 25.5452i | 0.0728230 | − | 1.00819i | ||||
\(643\) | 33.5587i | 1.32343i | 0.749757 | + | 0.661714i | \(0.230171\pi\) | ||||
−0.749757 | + | 0.661714i | \(0.769829\pi\) | |||||||
\(644\) | −1.18708 | + | 2.36450i | −0.0467776 | + | 0.0931742i | ||||
\(645\) | 3.58141 | − | 1.73662i | 0.141018 | − | 0.0683792i | ||||
\(646\) | −22.9804 | + | 39.8033i | −0.904153 | + | 1.56604i | ||||
\(647\) | 0.250687 | + | 0.434203i | 0.00985554 | + | 0.0170703i | 0.870911 | − | 0.491441i | \(-0.163530\pi\) |
−0.861056 | + | 0.508511i | \(0.830196\pi\) | |||||||
\(648\) | 6.19228 | + | 6.53113i | 0.243256 | + | 0.256567i | ||||
\(649\) | 10.8965 | + | 6.29107i | 0.427724 | + | 0.246946i | ||||
\(650\) | 12.5662 | 0.492889 | ||||||||
\(651\) | −42.2119 | − | 25.1534i | −1.65441 | − | 0.985840i | ||||
\(652\) | 5.58496 | 0.218724 | ||||||||
\(653\) | 24.4418 | + | 14.1115i | 0.956481 | + | 0.552224i | 0.895088 | − | 0.445889i | \(-0.147113\pi\) |
0.0613925 | + | 0.998114i | \(0.480446\pi\) | |||||||
\(654\) | −4.91922 | + | 7.25709i | −0.192357 | + | 0.283775i | ||||
\(655\) | 7.33116 | + | 12.6979i | 0.286452 | + | 0.496149i | ||||
\(656\) | −4.40785 | + | 7.63461i | −0.172097 | + | 0.298082i | ||||
\(657\) | 8.17284 | + | 6.44591i | 0.318853 | + | 0.251479i | ||||
\(658\) | −8.37600 | + | 0.489019i | −0.326531 | + | 0.0190639i | ||||
\(659\) | − | 29.3146i | − | 1.14193i | −0.820973 | − | 0.570967i | \(-0.806568\pi\) | ||
0.820973 | − | 0.570967i | \(-0.193432\pi\) | |||||||
\(660\) | −9.18015 | − | 0.663097i | −0.357337 | − | 0.0258110i | ||||
\(661\) | −24.5752 | + | 14.1885i | −0.955865 | + | 0.551869i | −0.894898 | − | 0.446271i | \(-0.852752\pi\) |
−0.0609671 | + | 0.998140i | \(0.519418\pi\) | |||||||
\(662\) | 18.2232 | − | 10.5212i | 0.708265 | − | 0.408917i | ||||
\(663\) | −36.4698 | − | 2.63427i | −1.41637 | − | 0.102307i | ||||
\(664\) | − | 2.97725i | − | 0.115540i | ||||||
\(665\) | −14.4725 | + | 0.844955i | −0.561221 | + | 0.0327660i | ||||
\(666\) | 18.9429 | + | 14.9403i | 0.734024 | + | 0.578923i | ||||
\(667\) | 1.54467 | − | 2.67545i | 0.0598099 | − | 0.103594i | ||||
\(668\) | 3.45385 | + | 5.98225i | 0.133634 | + | 0.231460i | ||||
\(669\) | −12.8951 | + | 19.0236i | −0.498555 | + | 0.735495i | ||||
\(670\) | −9.80580 | − | 5.66138i | −0.378831 | − | 0.218718i | ||||
\(671\) | 13.6416 | 0.526630 | ||||||||
\(672\) | −3.93666 | − | 2.34579i | −0.151860 | − | 0.0904909i | ||||
\(673\) | −36.6651 | −1.41334 | −0.706668 | − | 0.707546i | \(-0.749802\pi\) | ||||
−0.706668 | + | 0.707546i | \(0.749802\pi\) | |||||||
\(674\) | −8.85943 | − | 5.11500i | −0.341253 | − | 0.197022i | ||||
\(675\) | −21.1432 | + | 6.70939i | −0.813802 | + | 0.258245i | ||||
\(676\) | 2.16754 | + | 3.75429i | 0.0833669 | + | 0.144396i | ||||
\(677\) | 19.2995 | − | 33.4276i | 0.741738 | − | 1.28473i | −0.209965 | − | 0.977709i | \(-0.567335\pi\) |
0.951703 | − | 0.307019i | \(-0.0993317\pi\) | |||||||
\(678\) | −13.8930 | + | 6.73667i | −0.533557 | + | 0.258720i | ||||
\(679\) | 8.66044 | − | 17.2504i | 0.332357 | − | 0.662008i | ||||
\(680\) | 6.13180i | 0.235144i | ||||||||
\(681\) | −0.348148 | + | 4.81989i | −0.0133411 | + | 0.184698i | ||||
\(682\) | −57.7151 | + | 33.3219i | −2.21003 | + | 1.27596i | ||||
\(683\) | −44.3622 | + | 25.6125i | −1.69747 | + | 0.980037i | −0.749329 | + | 0.662198i | \(0.769624\pi\) |
−0.948145 | + | 0.317838i | \(0.897043\pi\) | |||||||
\(684\) | 17.8589 | − | 7.12035i | 0.682851 | − | 0.272253i | ||||
\(685\) | 1.80346i | 0.0689068i | ||||||||
\(686\) | −6.32702 | + | 17.4060i | −0.241567 | + | 0.664564i | ||||
\(687\) | 5.18123 | + | 10.6852i | 0.197676 | + | 0.407666i | ||||
\(688\) | 1.34385 | − | 2.32762i | 0.0512340 | − | 0.0887398i | ||||
\(689\) | −6.28981 | − | 10.8943i | −0.239623 | − | 0.415038i | ||||
\(690\) | −1.22583 | − | 0.830926i | −0.0466664 | − | 0.0316328i | ||||
\(691\) | 4.92802 | + | 2.84520i | 0.187471 | + | 0.108236i | 0.590798 | − | 0.806820i | \(-0.298813\pi\) |
−0.403327 | + | 0.915056i | \(0.632146\pi\) | |||||||
\(692\) | 21.9534 | 0.834544 | ||||||||
\(693\) | −20.9096 | − | 44.6807i | −0.794289 | − | 1.69728i | ||||
\(694\) | −8.80890 | −0.334381 | ||||||||
\(695\) | −3.30203 | − | 1.90643i | −0.125253 | − | 0.0723149i | ||||
\(696\) | 4.42922 | + | 3.00235i | 0.167889 | + | 0.113804i | ||||
\(697\) | 31.6116 | + | 54.7530i | 1.19738 | + | 2.07392i | ||||
\(698\) | −4.37239 | + | 7.57320i | −0.165497 | + | 0.286650i | ||||
\(699\) | 0.788739 | + | 1.62661i | 0.0298328 | + | 0.0615241i | ||||
\(700\) | 9.43566 | − | 6.20782i | 0.356635 | − | 0.234634i | ||||
\(701\) | 20.0855i | 0.758619i | 0.925270 | + | 0.379309i | \(0.123838\pi\) | ||||
−0.925270 | + | 0.379309i | \(0.876162\pi\) | |||||||
\(702\) | 11.2961 | + | 10.3127i | 0.426344 | + | 0.389226i | ||||
\(703\) | 44.6330 | − | 25.7688i | 1.68336 | − | 0.971891i | ||||
\(704\) | −5.38248 | + | 3.10758i | −0.202860 | + | 0.117121i | ||||
\(705\) | 0.338339 | − | 4.68408i | 0.0127426 | − | 0.176413i | ||||
\(706\) | − | 29.8597i | − | 1.12379i | ||||||
\(707\) | −0.473082 | − | 8.10304i | −0.0177921 | − | 0.304746i | ||||
\(708\) | −3.15506 | + | 1.52988i | −0.118575 | + | 0.0574964i | ||||
\(709\) | 22.2436 | − | 38.5271i | 0.835377 | − | 1.44692i | −0.0583459 | − | 0.998296i | \(-0.518583\pi\) |
0.893723 | − | 0.448619i | \(-0.148084\pi\) | |||||||
\(710\) | 4.77603 | + | 8.27232i | 0.179241 | + | 0.310455i | ||||
\(711\) | −14.9967 | − | 2.17783i | −0.562421 | − | 0.0816752i | ||||
\(712\) | −0.111851 | − | 0.0645771i | −0.00419178 | − | 0.00242013i | ||||
\(713\) | −10.7228 | −0.401571 | ||||||||
\(714\) | −28.6856 | + | 16.0384i | −1.07353 | + | 0.600221i | ||||
\(715\) | −15.6423 | −0.584990 | ||||||||
\(716\) | −5.41924 | − | 3.12880i | −0.202527 | − | 0.116929i | ||||
\(717\) | 8.07732 | − | 11.9161i | 0.301653 | − | 0.445014i | ||||
\(718\) | 13.8494 | + | 23.9879i | 0.516856 | + | 0.895222i | ||||
\(719\) | 15.0871 | − | 26.1316i | 0.562654 | − | 0.974545i | −0.434610 | − | 0.900619i | \(-0.643114\pi\) |
0.997264 | − | 0.0739264i | \(-0.0235530\pi\) | |||||||
\(720\) | 1.58843 | − | 2.01399i | 0.0591973 | − | 0.0750569i | ||||
\(721\) | −0.483130 | − | 0.734341i | −0.0179927 | − | 0.0273483i | ||||
\(722\) | − | 22.0710i | − | 0.821397i | ||||||
\(723\) | 39.3287 | + | 2.84077i | 1.46265 | + | 0.105649i | ||||
\(724\) | 12.0972 | − | 6.98435i | 0.449591 | − | 0.259571i | ||||
\(725\) | −11.4214 | + | 6.59416i | −0.424181 | + | 0.244901i | ||||
\(726\) | −47.7290 | − | 3.44754i | −1.77139 | − | 0.127950i | ||||
\(727\) | − | 25.6630i | − | 0.951789i | −0.879502 | − | 0.475895i | \(-0.842124\pi\) | ||
0.879502 | − | 0.475895i | \(-0.157876\pi\) | |||||||
\(728\) | −6.96019 | − | 3.49432i | −0.257962 | − | 0.129508i | ||||
\(729\) | −24.5123 | − | 11.3202i | −0.907863 | − | 0.419267i | ||||
\(730\) | 1.48327 | − | 2.56910i | 0.0548983 | − | 0.0950867i | ||||
\(731\) | −9.63769 | − | 16.6930i | −0.356463 | − | 0.617412i | ||||
\(732\) | −2.13309 | + | 3.14685i | −0.0788414 | + | 0.116311i | ||||
\(733\) | −38.4246 | − | 22.1844i | −1.41924 | − | 0.819401i | −0.423012 | − | 0.906124i | \(-0.639027\pi\) |
−0.996232 | + | 0.0867230i | \(0.972360\pi\) | |||||||
\(734\) | 8.39147 | 0.309735 | ||||||||
\(735\) | −9.19935 | − | 4.77842i | −0.339323 | − | 0.176255i | ||||
\(736\) | −1.00000 | −0.0368605 | ||||||||
\(737\) | −71.2800 | − | 41.1536i | −2.62563 | − | 1.51591i | ||||
\(738\) | 3.80079 | − | 26.1725i | 0.139909 | − | 0.963424i | ||||
\(739\) | 3.23693 | + | 5.60653i | 0.119072 | + | 0.206239i | 0.919400 | − | 0.393323i | \(-0.128675\pi\) |
−0.800328 | + | 0.599563i | \(0.795341\pi\) | |||||||
\(740\) | 3.43791 | − | 5.95464i | 0.126380 | − | 0.218897i | ||||
\(741\) | 29.4005 | − | 14.2562i | 1.08006 | − | 0.523716i | ||||
\(742\) | −10.1047 | − | 5.07301i | −0.370955 | − | 0.186236i | ||||
\(743\) | 47.4860i | 1.74209i | 0.491201 | + | 0.871046i | \(0.336558\pi\) | ||||
−0.491201 | + | 0.871046i | \(0.663442\pi\) | |||||||
\(744\) | 1.33803 | − | 18.5241i | 0.0490544 | − | 0.679127i | ||||
\(745\) | 11.5923 | − | 6.69281i | 0.424709 | − | 0.245206i | ||||
\(746\) | 17.4103 | − | 10.0519i | 0.637438 | − | 0.368025i | ||||
\(747\) | 3.30788 | + | 8.29663i | 0.121029 | + | 0.303558i | ||||
\(748\) | 44.5731i | 1.62975i | ||||||||
\(749\) | −21.5028 | − | 32.6834i | −0.785694 | − | 1.19423i | ||||
\(750\) | 5.98899 | + | 12.3511i | 0.218687 | + | 0.450997i | ||||
\(751\) | −0.749749 | + | 1.29860i | −0.0273587 | + | 0.0473867i | −0.879381 | − | 0.476120i | \(-0.842043\pi\) |
0.852022 | + | 0.523506i | \(0.175376\pi\) | |||||||
\(752\) | −1.58561 | − | 2.74636i | −0.0578213 | − | 0.100149i | ||||
\(753\) | −22.7835 | − | 15.4438i | −0.830278 | − | 0.562804i | ||||
\(754\) | 7.87552 | + | 4.54693i | 0.286809 | + | 0.165590i | ||||
\(755\) | 20.0656 | 0.730260 | ||||||||
\(756\) | 13.5765 | + | 2.16314i | 0.493772 | + | 0.0786726i | ||||
\(757\) | 0.175245 | 0.00636940 | 0.00318470 | − | 0.999995i | \(-0.498986\pi\) | ||||
0.00318470 | + | 0.999995i | \(0.498986\pi\) | |||||||
\(758\) | 9.51396 | + | 5.49289i | 0.345562 | + | 0.199511i | ||||
\(759\) | −8.91073 | − | 6.04014i | −0.323439 | − | 0.219243i | ||||
\(760\) | −2.73971 | − | 4.74532i | −0.0993798 | − | 0.172131i | ||||
\(761\) | −0.0332492 | + | 0.0575893i | −0.00120528 | + | 0.00208761i | −0.866627 | − | 0.498956i | \(-0.833717\pi\) |
0.865422 | + | 0.501043i | \(0.167050\pi\) | |||||||
\(762\) | 6.20101 | + | 12.7883i | 0.224639 | + | 0.463271i | ||||
\(763\) | 0.780549 | + | 13.3694i | 0.0282578 | + | 0.484004i | ||||
\(764\) | − | 8.02757i | − | 0.290427i | ||||||
\(765\) | −6.81274 | − | 17.0873i | −0.246315 | − | 0.617794i | ||||
\(766\) | −9.69979 | + | 5.60018i | −0.350468 | + | 0.202343i | ||||
\(767\) | −5.16079 | + | 2.97958i | −0.186345 | + | 0.107586i | ||||
\(768\) | 0.124784 | − | 1.72755i | 0.00450274 | − | 0.0623376i | ||||
\(769\) | − | 42.2625i | − | 1.52403i | −0.647562 | − | 0.762013i | \(-0.724211\pi\) | ||
0.647562 | − | 0.762013i | \(-0.275789\pi\) | |||||||
\(770\) | −11.7454 | + | 7.72743i | −0.423276 | + | 0.278477i | ||||
\(771\) | −20.3640 | + | 9.87446i | −0.733392 | + | 0.355620i | ||||
\(772\) | 3.90880 | − | 6.77023i | 0.140681 | − | 0.243666i | ||||
\(773\) | −1.23294 | − | 2.13551i | −0.0443456 | − | 0.0768088i | 0.843001 | − | 0.537913i | \(-0.180787\pi\) |
−0.887346 | + | 0.461104i | \(0.847454\pi\) | |||||||
\(774\) | −1.15878 | + | 7.97942i | −0.0416514 | + | 0.286814i | ||||
\(775\) | 39.6425 | + | 22.8876i | 1.42400 | + | 0.822147i | ||||
\(776\) | 7.29558 | 0.261896 | ||||||||
\(777\) | 36.8490 | + | 0.508150i | 1.32195 | + | 0.0182298i | ||||
\(778\) | −15.4491 | −0.553876 | ||||||||
\(779\) | −48.9277 | − | 28.2484i | −1.75302 | − | 1.01210i | ||||
\(780\) | 2.44593 | − | 3.60837i | 0.0875785 | − | 0.129200i | ||||
\(781\) | 34.7178 | + | 60.1329i | 1.24230 | + | 2.15173i | ||||
\(782\) | −3.58584 | + | 6.21086i | −0.128229 | + | 0.222100i | ||||
\(783\) | −15.6786 | − | 3.44548i | −0.560307 | − | 0.123132i | ||||
\(784\) | −6.95244 | + | 0.814590i | −0.248301 | + | 0.0290925i | ||||
\(785\) | 8.98642i | 0.320739i | ||||||||
\(786\) | −29.6255 | − | 2.13990i | −1.05671 | − | 0.0763276i | ||||
\(787\) | −26.2200 | + | 15.1381i | −0.934641 | + | 0.539615i | −0.888276 | − | 0.459309i | \(-0.848097\pi\) |
−0.0463648 | + | 0.998925i | \(0.514764\pi\) | |||||||
\(788\) | 14.3154 | − | 8.26501i | 0.509965 | − | 0.294429i | ||||
\(789\) | −11.9946 | − | 0.866390i | −0.427020 | − | 0.0308443i | ||||
\(790\) | 4.31891i | 0.153660i | ||||||||
\(791\) | −10.5821 | + | 21.0780i | −0.376255 | + | 0.749447i | ||||
\(792\) | 11.5466 | − | 14.6400i | 0.410289 | − | 0.520211i | ||||
\(793\) | −3.23048 | + | 5.59536i | −0.114718 | + | 0.198697i | ||||
\(794\) | 9.36607 | + | 16.2225i | 0.332389 | + | 0.575715i | ||||
\(795\) | 3.55097 | − | 5.23858i | 0.125940 | − | 0.185793i | ||||
\(796\) | 1.87503 | + | 1.08255i | 0.0664586 | + | 0.0383699i | ||||
\(797\) | 36.9841 | 1.31004 | 0.655022 | − | 0.755610i | \(-0.272659\pi\) | ||||
0.655022 | + | 0.755610i | \(0.272659\pi\) | |||||||
\(798\) | 15.0334 | − | 25.2287i | 0.532176 | − | 0.893086i | ||||
\(799\) | −22.7430 | −0.804589 | ||||||||
\(800\) | 3.69704 | + | 2.13449i | 0.130710 | + | 0.0754655i | ||||
\(801\) | 0.383440 | + | 0.0556835i | 0.0135482 | + | 0.00196748i | ||||
\(802\) | −18.4391 | − | 31.9375i | −0.651108 | − | 1.12775i | ||||
\(803\) | 10.7822 | − | 18.6752i | 0.380494 | − | 0.659035i | ||||
\(804\) | 20.6391 | − | 10.0078i | 0.727884 | − | 0.352949i | ||||
\(805\) | −2.25828 | + | 0.131846i | −0.0795938 | + | 0.00464695i | ||||
\(806\) | − | 31.5638i | − | 1.11179i | ||||||
\(807\) | −0.134011 | + | 1.85529i | −0.00471740 | + | 0.0653094i | ||||
\(808\) | 2.65686 | − | 1.53394i | 0.0934680 | − | 0.0539637i | ||||
\(809\) | 40.0652 | − | 23.1317i | 1.40862 | − | 0.813266i | 0.413363 | − | 0.910566i | \(-0.364354\pi\) |
0.995255 | + | 0.0973002i | \(0.0310207\pi\) | |||||||
\(810\) | −2.18879 | + | 7.37716i | −0.0769064 | + | 0.259207i | ||||
\(811\) | − | 24.2628i | − | 0.851981i | −0.904728 | − | 0.425991i | \(-0.859926\pi\) | ||
0.904728 | − | 0.425991i | \(-0.140074\pi\) | |||||||
\(812\) | 8.15974 | − | 0.476393i | 0.286351 | − | 0.0167181i | ||||
\(813\) | −14.7585 | − | 30.4364i | −0.517604 | − | 1.06745i | ||||
\(814\) | 24.9908 | − | 43.2853i | 0.875926 | − | 1.51715i | ||||
\(815\) | 2.38758 | + | 4.13540i | 0.0836331 | + | 0.144857i | ||||
\(816\) | −10.2821 | − | 6.96973i | −0.359946 | − | 0.243989i | ||||
\(817\) | 14.9170 | + | 8.61231i | 0.521878 | + | 0.301307i | ||||
\(818\) | 5.21185 | 0.182228 | ||||||||
\(819\) | 23.2782 | + | 2.00442i | 0.813405 | + | 0.0700401i | ||||
\(820\) | −7.53744 | −0.263219 | ||||||||
\(821\) | 23.9509 | + | 13.8281i | 0.835893 | + | 0.482603i | 0.855866 | − | 0.517197i | \(-0.173025\pi\) |
−0.0199729 | + | 0.999801i | \(0.506358\pi\) | |||||||
\(822\) | −3.02414 | − | 2.04991i | −0.105479 | − | 0.0714989i | ||||
\(823\) | −22.4043 | − | 38.8054i | −0.780966 | − | 1.35267i | −0.931380 | − | 0.364050i | \(-0.881394\pi\) |
0.150414 | − | 0.988623i | \(-0.451939\pi\) | |||||||
\(824\) | 0.166119 | − | 0.287726i | 0.00578702 | − | 0.0100234i | ||||
\(825\) | 20.0507 | + | 41.3505i | 0.698076 | + | 1.43964i | ||||
\(826\) | −2.40316 | + | 4.78676i | −0.0836167 | + | 0.166553i | ||||
\(827\) | − | 6.90634i | − | 0.240157i | −0.992764 | − | 0.120079i | \(-0.961685\pi\) | ||
0.992764 | − | 0.120079i | \(-0.0383146\pi\) | |||||||
\(828\) | 2.78668 | − | 1.11105i | 0.0968437 | − | 0.0386117i | ||||
\(829\) | −34.5751 | + | 19.9620i | −1.20084 | + | 0.693308i | −0.960743 | − | 0.277440i | \(-0.910514\pi\) |
−0.240101 | + | 0.970748i | \(0.577181\pi\) | |||||||
\(830\) | 2.20452 | − | 1.27278i | 0.0765199 | − | 0.0441788i | ||||
\(831\) | −0.454567 | + | 6.29320i | −0.0157688 | + | 0.218309i | ||||
\(832\) | − | 2.94362i | − | 0.102052i | ||||||
\(833\) | −19.8710 | + | 46.1016i | −0.688491 | + | 1.59733i | ||||
\(834\) | 6.95005 | − | 3.37006i | 0.240661 | − | 0.116696i | ||||
\(835\) | −2.95305 | + | 5.11484i | −0.102195 | + | 0.177006i | ||||
\(836\) | −19.9154 | − | 34.4945i | −0.688789 | − | 1.19302i | ||||
\(837\) | 16.8526 | + | 53.1074i | 0.582511 | + | 1.83566i | ||||
\(838\) | −12.1455 | − | 7.01223i | −0.419561 | − | 0.242234i | ||||
\(839\) | 19.2611 | 0.664966 | 0.332483 | − | 0.943109i | \(-0.392114\pi\) | ||||
0.332483 | + | 0.943109i | \(0.392114\pi\) | |||||||
\(840\) | 0.0540259 | − | 3.91774i | 0.00186407 | − | 0.135175i | ||||
\(841\) | 19.4560 | 0.670895 | ||||||||
\(842\) | 2.29080 | + | 1.32259i | 0.0789462 | + | 0.0455796i | ||||
\(843\) | 29.7258 | − | 43.8530i | 1.02381 | − | 1.51038i | ||||
\(844\) | −5.75466 | − | 9.96737i | −0.198084 | − | 0.343091i | ||||
\(845\) | −1.85325 | + | 3.20992i | −0.0637537 | + | 0.110425i | ||||
\(846\) | 7.46993 | + | 5.89152i | 0.256821 | + | 0.202555i | ||||
\(847\) | −61.0663 | + | 40.1761i | −2.09826 | + | 1.38047i | ||||
\(848\) | − | 4.27351i | − | 0.146753i | ||||||
\(849\) | −16.2091 | − | 1.17081i | −0.556296 | − | 0.0401821i | ||||
\(850\) | 26.5140 | − | 15.3078i | 0.909421 | − | 0.525055i | ||||
\(851\) | 6.96447 | − | 4.02094i | 0.238739 | − | 0.137836i | ||||
\(852\) | −19.3001 | − | 1.39408i | −0.661212 | − | 0.0477603i | ||||
\(853\) | − | 16.7488i | − | 0.573467i | −0.958010 | − | 0.286733i | \(-0.907431\pi\) | ||
0.958010 | − | 0.286733i | \(-0.0925694\pi\) | |||||||
\(854\) | 0.338465 | + | 5.79729i | 0.0115820 | + | 0.198379i | ||||
\(855\) | 12.9070 | + | 10.1797i | 0.441409 | + | 0.348139i | ||||
\(856\) | 7.39347 | − | 12.8059i | 0.252704 | − | 0.437696i | ||||
\(857\) | −5.20824 | − | 9.02094i | −0.177910 | − | 0.308149i | 0.763254 | − | 0.646098i | \(-0.223600\pi\) |
−0.941165 | + | 0.337949i | \(0.890267\pi\) | |||||||
\(858\) | 17.7799 | − | 26.2299i | 0.606996 | − | 0.895472i | ||||
\(859\) | 37.8557 | + | 21.8560i | 1.29162 | + | 0.745717i | 0.978941 | − | 0.204142i | \(-0.0654405\pi\) |
0.312678 | + | 0.949859i | \(0.398774\pi\) | |||||||
\(860\) | 2.29800 | 0.0783610 | ||||||||
\(861\) | −19.7149 | − | 35.2614i | −0.671884 | − | 1.20170i | ||||
\(862\) | 8.23541 | 0.280499 | ||||||||
\(863\) | −36.9368 | − | 21.3255i | −1.25734 | − | 0.725928i | −0.284787 | − | 0.958591i | \(-0.591923\pi\) |
−0.972558 | + | 0.232662i | \(0.925256\pi\) | |||||||
\(864\) | 1.57166 | + | 4.95276i | 0.0534691 | + | 0.168496i | ||||
\(865\) | 9.38512 | + | 16.2555i | 0.319104 | + | 0.552704i | ||||
\(866\) | −8.08979 | + | 14.0119i | −0.274902 | + | 0.476145i | ||||
\(867\) | −53.6636 | + | 26.0213i | −1.82251 | + | 0.883730i | ||||
\(868\) | −15.5928 | − | 23.7004i | −0.529253 | − | 0.804445i | ||||
\(869\) | 31.3949i | 1.06500i | ||||||||
\(870\) | −0.329603 | + | 4.56314i | −0.0111746 | + | 0.154705i | ||||
\(871\) | 33.7597 | − | 19.4912i | 1.14390 | − | 0.660433i | ||||
\(872\) | −4.38361 | + | 2.53088i | −0.148448 | + | 0.0857063i | ||||
\(873\) | −20.3304 | + | 8.10576i | −0.688080 | + | 0.274338i | ||||
\(874\) | − | 6.40866i | − | 0.216776i | ||||||
\(875\) | 18.7386 | + | 9.40761i | 0.633480 | + | 0.318035i | ||||
\(876\) | 2.62203 | + | 5.40740i | 0.0885903 | + | 0.182699i | ||||
\(877\) | 0.177794 | − | 0.307948i | 0.00600367 | − | 0.0103987i | −0.863008 | − | 0.505190i | \(-0.831422\pi\) |
0.869012 | + | 0.494792i | \(0.164756\pi\) | |||||||
\(878\) | −19.9146 | − | 34.4931i | −0.672085 | − | 1.16409i | ||||
\(879\) | 10.0119 | + | 6.78658i | 0.337694 | + | 0.228906i | ||||
\(880\) | −4.60204 | − | 2.65699i | −0.155135 | − | 0.0895670i | ||||
\(881\) | −37.5057 | −1.26360 | −0.631799 | − | 0.775132i | \(-0.717683\pi\) | ||||
−0.631799 | + | 0.775132i | \(0.717683\pi\) | |||||||
\(882\) | 18.4692 | − | 9.99452i | 0.621889 | − | 0.336533i | ||||
\(883\) | 7.59879 | 0.255720 | 0.127860 | − | 0.991792i | \(-0.459189\pi\) | ||||
0.127860 | + | 0.991792i | \(0.459189\pi\) | |||||||
\(884\) | −18.2824 | − | 10.5554i | −0.614904 | − | 0.355015i | ||||
\(885\) | −2.48160 | − | 1.68215i | −0.0834180 | − | 0.0565449i | ||||
\(886\) | 0.0408294 | + | 0.0707186i | 0.00137169 | + | 0.00237584i | ||||
\(887\) | −3.89689 | + | 6.74960i | −0.130845 | + | 0.226630i | −0.924002 | − | 0.382387i | \(-0.875102\pi\) |
0.793158 | + | 0.609016i | \(0.208436\pi\) | |||||||
\(888\) | 6.07732 | + | 12.5332i | 0.203942 | + | 0.420587i | ||||
\(889\) | 19.4020 | + | 9.74066i | 0.650722 | + | 0.326691i | ||||
\(890\) | − | 0.110427i | − | 0.00370152i | ||||||
\(891\) | −15.9107 | + | 53.6258i | −0.533029 | + | 1.79653i | ||||
\(892\) | −11.4911 | + | 6.63439i | −0.384751 | + | 0.222136i | ||||
\(893\) | 17.6005 | − | 10.1616i | 0.588978 | − | 0.340047i | ||||
\(894\) | −1.95357 | + | 27.0459i | −0.0653371 | + | 0.904551i | ||||
\(895\) | − | 5.35027i | − | 0.178840i | ||||||
\(896\) | −1.45417 | − | 2.21029i | −0.0485805 | − | 0.0738406i | ||||
\(897\) | 4.58762 | − | 2.22452i | 0.153176 | − | 0.0742747i | ||||
\(898\) | 8.60828 | − | 14.9100i | 0.287262 | − | 0.497552i | ||||
\(899\) | 16.5632 | + | 28.6882i | 0.552412 | + | 0.956807i | ||||
\(900\) | −12.6740 | − | 1.84052i | −0.422466 | − | 0.0613508i | ||||
\(901\) | −26.5422 | − | 15.3241i | −0.884248 | − | 0.510521i | ||||
\(902\) | −54.7909 | −1.82434 | ||||||||
\(903\) | 6.01065 | + | 10.7504i | 0.200022 | + | 0.357751i | ||||
\(904\) | −8.91437 | −0.296487 | ||||||||
\(905\) | 10.3432 | + | 5.97163i | 0.343819 | + | 0.198504i | ||||
\(906\) | −22.8076 | + | 33.6469i | −0.757731 | + | 1.11784i | ||||
\(907\) | 23.9237 | + | 41.4370i | 0.794373 | + | 1.37589i | 0.923237 | + | 0.384231i | \(0.125534\pi\) |
−0.128864 | + | 0.991662i | \(0.541133\pi\) | |||||||
\(908\) | −1.39501 | + | 2.41622i | −0.0462949 | + | 0.0801851i | ||||
\(909\) | −5.69952 | + | 7.22649i | −0.189041 | + | 0.239688i | ||||
\(910\) | −0.388104 | − | 6.64752i | −0.0128655 | − | 0.220363i | ||||
\(911\) | 36.2505i | 1.20103i | 0.799613 | + | 0.600516i | \(0.205038\pi\) | ||||
−0.799613 | + | 0.600516i | \(0.794962\pi\) | |||||||
\(912\) | 11.0713 | + | 0.799696i | 0.366607 | + | 0.0264806i | ||||
\(913\) | 16.0250 | − | 9.25204i | 0.530350 | − | 0.306198i | ||||
\(914\) | −1.82240 | + | 1.05217i | −0.0602798 | + | 0.0348026i | ||||
\(915\) | −3.24200 | − | 0.234175i | −0.107177 | − | 0.00774157i | ||||
\(916\) | 6.85611i | 0.226532i | ||||||||
\(917\) | −37.9040 | + | 24.9374i | −1.25170 | + | 0.823505i | ||||
\(918\) | 36.3966 | + | 7.99843i | 1.20127 | + | 0.263988i | ||||
\(919\) | −0.218235 | + | 0.377994i | −0.00719891 | + | 0.0124689i | −0.869602 | − | 0.493753i | \(-0.835625\pi\) |
0.862404 | + | 0.506221i | \(0.168958\pi\) | |||||||
\(920\) | −0.427501 | − | 0.740454i | −0.0140943 | − | 0.0244120i | ||||
\(921\) | 25.0337 | − | 36.9310i | 0.824888 | − | 1.21692i | ||||
\(922\) | 6.09527 | + | 3.51911i | 0.200737 | + | 0.115896i | ||||
\(923\) | −32.8861 | −1.08246 | ||||||||
\(924\) | 0.392723 | − | 28.4787i | 0.0129196 | − | 0.936881i | ||||
\(925\) | −34.3305 | −1.12878 | ||||||||
\(926\) | 22.8658 | + | 13.2016i | 0.751418 | + | 0.433832i | ||||
\(927\) | −0.143241 | + | 0.986366i | −0.00470464 | + | 0.0323965i | ||||
\(928\) | 1.54467 | + | 2.67545i | 0.0507063 | + | 0.0878259i | ||||
\(929\) | 7.13073 | − | 12.3508i | 0.233952 | − | 0.405216i | −0.725016 | − | 0.688732i | \(-0.758168\pi\) |
0.958967 | + | 0.283516i | \(0.0915009\pi\) | |||||||
\(930\) | 14.2883 | − | 6.92834i | 0.468531 | − | 0.227189i | ||||
\(931\) | −5.22043 | − | 44.5559i | −0.171093 | − | 1.46026i | ||||
\(932\) | 1.04371i | 0.0341878i | ||||||||
\(933\) | −1.44400 | + | 19.9913i | −0.0472746 | + | 0.654487i | ||||
\(934\) | 12.9469 | − | 7.47490i | 0.423636 | − | 0.244586i | ||||
\(935\) | −33.0043 | + | 19.0550i | −1.07936 | + | 0.623167i | ||||
\(936\) | 3.27052 | + | 8.20293i | 0.106900 | + | 0.268121i | ||||
\(937\) | − | 35.5674i | − | 1.16194i | −0.813926 | − | 0.580968i | \(-0.802674\pi\) | ||
0.813926 | − | 0.580968i | \(-0.197326\pi\) | |||||||
\(938\) | 15.7205 | − | 31.3129i | 0.513292 | − | 1.02240i | ||||
\(939\) | −17.5856 | − | 36.2666i | −0.573884 | − | 1.18352i | ||||
\(940\) | 1.35570 | − | 2.34814i | 0.0442181 | − | 0.0765880i | ||||
\(941\) | 14.9846 | + | 25.9541i | 0.488484 | + | 0.846078i | 0.999912 | − | 0.0132474i | \(-0.00421691\pi\) |
−0.511429 | + | 0.859326i | \(0.670884\pi\) | |||||||
\(942\) | −15.0689 | − | 10.2144i | −0.490971 | − | 0.332805i | ||||
\(943\) | −7.63461 | − | 4.40785i | −0.248617 | − | 0.143539i | ||||
\(944\) | −2.02443 | −0.0658896 | ||||||||
\(945\) | 4.20226 | + | 10.9775i | 0.136699 | + | 0.357098i | ||||
\(946\) | 16.7045 | 0.543111 | ||||||||
\(947\) | −30.9579 | − | 17.8736i | −1.00600 | − | 0.580813i | −0.0959804 | − | 0.995383i | \(-0.530599\pi\) |
−0.910017 | + | 0.414570i | \(0.863932\pi\) | |||||||
\(948\) | −7.24216 | − | 4.90910i | −0.235214 | − | 0.159440i | ||||
\(949\) | 5.10665 | + | 8.84497i | 0.165769 | + | 0.287120i | ||||
\(950\) | −13.6792 | + | 23.6931i | −0.443812 | + | 0.768705i | ||||
\(951\) | 1.45655 | + | 3.00384i | 0.0472320 | + | 0.0974063i | ||||
\(952\) | −18.9422 | + | 1.10591i | −0.613921 | + | 0.0358427i | ||||
\(953\) | − | 32.5165i | − | 1.05331i | −0.850078 | − | 0.526656i | \(-0.823446\pi\) | ||
0.850078 | − | 0.526656i | \(-0.176554\pi\) | |||||||
\(954\) | 4.74809 | + | 11.9089i | 0.153725 | + | 0.385565i | ||||
\(955\) | 5.94404 | − | 3.43180i | 0.192345 | − | 0.111050i | ||||
\(956\) | 7.19785 | − | 4.15568i | 0.232795 | − | 0.134404i | ||||
\(957\) | −2.39594 | + | 33.1703i | −0.0774497 | + | 1.07224i | ||||
\(958\) | − | 5.02592i | − | 0.162380i | ||||||
\(959\) | −5.57122 | + | 0.325266i | −0.179904 | + | 0.0105034i | ||||
\(960\) | 1.33252 | − | 0.646133i | 0.0430068 | − | 0.0208539i | ||||
\(961\) | 41.9889 | − | 72.7270i | 1.35448 | − | 2.34603i | ||||
\(962\) | 11.8361 | + | 20.5008i | 0.381612 | + | 0.660972i | ||||
\(963\) | −6.37524 | + | 43.9003i | −0.205439 | + | 1.41467i | ||||
\(964\) | 19.7156 | + | 11.3828i | 0.634996 | + | 0.366615i | ||||
\(965\) | 6.68406 | 0.215168 | ||||||||
\(966\) | 2.34579 | − | 3.93666i | 0.0754746 | − | 0.126660i | ||||
\(967\) | −31.1844 | −1.00282 | −0.501411 | − | 0.865209i | \(-0.667185\pi\) | ||||
−0.501411 | + | 0.865209i | \(0.667185\pi\) | |||||||
\(968\) | −23.9267 | − | 13.8141i | −0.769033 | − | 0.444001i | ||||
\(969\) | 44.6666 | − | 65.8946i | 1.43490 | − | 2.11684i | ||||
\(970\) | 3.11887 | + | 5.40204i | 0.100141 | + | 0.173449i | ||||
\(971\) | −28.2656 | + | 48.9574i | −0.907085 | + | 1.57112i | −0.0889919 | + | 0.996032i | \(0.528365\pi\) |
−0.818093 | + | 0.575085i | \(0.804969\pi\) | |||||||
\(972\) | −9.88249 | − | 12.0556i | −0.316981 | − | 0.386682i | ||||
\(973\) | 5.29375 | − | 10.5444i | 0.169710 | − | 0.338037i | ||||
\(974\) | 10.4586i | 0.335114i | ||||||||
\(975\) | −21.7088 | − | 1.56806i | −0.695239 | − | 0.0502182i | ||||
\(976\) | −1.90084 | + | 1.09745i | −0.0608444 | + | 0.0351285i | ||||
\(977\) | −9.51542 | + | 5.49373i | −0.304425 | + | 0.175760i | −0.644429 | − | 0.764664i | \(-0.722905\pi\) |
0.340004 | + | 0.940424i | \(0.389572\pi\) | |||||||
\(978\) | −9.64829 | − | 0.696911i | −0.308518 | − | 0.0222848i | ||||
\(979\) | − | 0.802713i | − | 0.0256548i | ||||||
\(980\) | −3.57534 | − | 4.79972i | −0.114210 | − | 0.153322i | ||||
\(981\) | 9.40376 | − | 11.9231i | 0.300239 | − | 0.380677i | ||||
\(982\) | −4.66612 | + | 8.08195i | −0.148902 | + | 0.257905i | ||||
\(983\) | 22.3895 | + | 38.7797i | 0.714114 | + | 1.23688i | 0.963300 | + | 0.268426i | \(0.0865034\pi\) |
−0.249187 | + | 0.968455i | \(0.580163\pi\) | |||||||
\(984\) | 8.56745 | − | 12.6391i | 0.273120 | − | 0.402921i | ||||
\(985\) | 12.2397 | + | 7.06660i | 0.389990 | + | 0.225161i | ||||
\(986\) | 22.1558 | 0.705584 | ||||||||
\(987\) | 14.5310 | + | 0.200383i | 0.462526 | + | 0.00637827i | ||||
\(988\) | 18.8647 | 0.600166 | ||||||||
\(989\) | 2.32762 | + | 1.34385i | 0.0740141 | + | 0.0427321i | ||||
\(990\) | 15.7764 | + | 2.29106i | 0.501408 | + | 0.0728148i | ||||
\(991\) | 28.2842 | + | 48.9897i | 0.898478 | + | 1.55621i | 0.829440 | + | 0.558595i | \(0.188659\pi\) |
0.0690373 | + | 0.997614i | \(0.478007\pi\) | |||||||
\(992\) | 5.36139 | − | 9.28619i | 0.170224 | − | 0.294837i | ||||
\(993\) | −32.7944 | + | 15.9019i | −1.04070 | + | 0.504631i | ||||
\(994\) | −24.6933 | + | 16.2460i | −0.783224 | + | 0.515291i | ||||
\(995\) | 1.85116i | 0.0586858i | ||||||||
\(996\) | −0.371512 | + | 5.14335i | −0.0117718 | + | 0.162973i | ||||
\(997\) | 37.1897 | − | 21.4715i | 1.17781 | − | 0.680009i | 0.222303 | − | 0.974978i | \(-0.428643\pi\) |
0.955507 | + | 0.294969i | \(0.0953092\pi\) | |||||||
\(998\) | −2.62118 | + | 1.51334i | −0.0829719 | + | 0.0479038i | ||||
\(999\) | −30.8606 | − | 28.1738i | −0.976385 | − | 0.891380i |
(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 | 966.2.l.d.47.10 | ✓ | 56 | |
3.2 | odd | 2 | inner | 966.2.l.d.47.21 | yes | 56 | |
7.3 | odd | 6 | inner | 966.2.l.d.185.21 | yes | 56 | |
21.17 | even | 6 | inner | 966.2.l.d.185.10 | yes | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
966.2.l.d.47.10 | ✓ | 56 | 1.1 | even | 1 | trivial | |
966.2.l.d.47.21 | yes | 56 | 3.2 | odd | 2 | inner | |
966.2.l.d.185.10 | yes | 56 | 21.17 | even | 6 | inner | |
966.2.l.d.185.21 | yes | 56 | 7.3 | odd | 6 | inner |