Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(185,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 1, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.185");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.u (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(76\) |
Relative dimension: | \(38\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 425.20 | ||
Character | \(\chi\) | \(=\) | 546.425 |
Dual form | 546.2.u.a.185.20 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.866025 | − | 0.500000i | 0.612372 | − | 0.353553i | ||||
\(3\) | −1.72102 | + | 0.195177i | −0.993631 | + | 0.112685i | ||||
\(4\) | 0.500000 | − | 0.866025i | 0.250000 | − | 0.433013i | ||||
\(5\) | −0.349437 | + | 0.605242i | −0.156273 | + | 0.270672i | −0.933522 | − | 0.358521i | \(-0.883281\pi\) |
0.777249 | + | 0.629193i | \(0.216615\pi\) | |||||||
\(6\) | −1.39286 | + | 1.02954i | −0.568632 | + | 0.420307i | ||||
\(7\) | −1.78017 | + | 1.95729i | −0.672842 | + | 0.739786i | ||||
\(8\) | − | 1.00000i | − | 0.353553i | ||||||
\(9\) | 2.92381 | − | 0.671806i | 0.974604 | − | 0.223935i | ||||
\(10\) | 0.698873i | 0.221003i | ||||||||
\(11\) | − | 1.47903i | − | 0.445946i | −0.974825 | − | 0.222973i | \(-0.928424\pi\) | ||
0.974825 | − | 0.222973i | \(-0.0715761\pi\) | |||||||
\(12\) | −0.691481 | + | 1.58803i | −0.199613 | + | 0.458426i | ||||
\(13\) | −0.668235 | + | 3.54309i | −0.185335 | + | 0.982675i | ||||
\(14\) | −0.563029 | + | 2.58515i | −0.150476 | + | 0.690910i | ||||
\(15\) | 0.483258 | − | 1.10983i | 0.124777 | − | 0.286558i | ||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | −0.789186 | + | 1.36691i | −0.191406 | + | 0.331524i | −0.945716 | − | 0.324993i | \(-0.894638\pi\) |
0.754311 | + | 0.656518i | \(0.227971\pi\) | |||||||
\(18\) | 2.19619 | − | 2.04371i | 0.517648 | − | 0.481706i | ||||
\(19\) | 7.68450i | 1.76295i | 0.472234 | + | 0.881473i | \(0.343448\pi\) | ||||
−0.472234 | + | 0.881473i | \(0.656552\pi\) | |||||||
\(20\) | 0.349437 | + | 0.605242i | 0.0781364 | + | 0.135336i | ||||
\(21\) | 2.68169 | − | 3.71598i | 0.585193 | − | 0.810894i | ||||
\(22\) | −0.739517 | − | 1.28088i | −0.157666 | − | 0.273085i | ||||
\(23\) | −6.95754 | + | 4.01694i | −1.45075 | + | 0.837589i | −0.998524 | − | 0.0543159i | \(-0.982702\pi\) |
−0.452223 | + | 0.891905i | \(0.649369\pi\) | |||||||
\(24\) | 0.195177 | + | 1.72102i | 0.0398403 | + | 0.351302i | ||||
\(25\) | 2.25579 | + | 3.90714i | 0.451158 | + | 0.781428i | ||||
\(26\) | 1.19284 | + | 3.40252i | 0.233934 | + | 0.667289i | ||||
\(27\) | −4.90081 | + | 1.72685i | −0.943162 | + | 0.332333i | ||||
\(28\) | 0.804977 | + | 2.52032i | 0.152126 | + | 0.476296i | ||||
\(29\) | 4.06467 | + | 2.34674i | 0.754790 | + | 0.435778i | 0.827422 | − | 0.561580i | \(-0.189806\pi\) |
−0.0726317 | + | 0.997359i | \(0.523140\pi\) | |||||||
\(30\) | −0.136404 | − | 1.20277i | −0.0249038 | − | 0.219595i | ||||
\(31\) | 5.83175 | − | 3.36696i | 1.04741 | − | 0.604725i | 0.125490 | − | 0.992095i | \(-0.459950\pi\) |
0.921924 | + | 0.387370i | \(0.126616\pi\) | |||||||
\(32\) | −0.866025 | − | 0.500000i | −0.153093 | − | 0.0883883i | ||||
\(33\) | 0.288673 | + | 2.54545i | 0.0502515 | + | 0.443105i | ||||
\(34\) | 1.57837i | 0.270688i | ||||||||
\(35\) | −0.562577 | − | 1.76138i | −0.0950929 | − | 0.297728i | ||||
\(36\) | 0.880105 | − | 2.86800i | 0.146684 | − | 0.478000i | ||||
\(37\) | −0.914289 | − | 1.58359i | −0.150308 | − | 0.260341i | 0.781033 | − | 0.624490i | \(-0.214693\pi\) |
−0.931341 | + | 0.364149i | \(0.881360\pi\) | |||||||
\(38\) | 3.84225 | + | 6.65498i | 0.623296 | + | 1.07958i | ||||
\(39\) | 0.458516 | − | 6.22814i | 0.0734214 | − | 0.997301i | ||||
\(40\) | 0.605242 | + | 0.349437i | 0.0956972 | + | 0.0552508i | ||||
\(41\) | −1.63806 | + | 2.83721i | −0.255823 | + | 0.443098i | −0.965119 | − | 0.261813i | \(-0.915680\pi\) |
0.709296 | + | 0.704911i | \(0.249013\pi\) | |||||||
\(42\) | 0.464422 | − | 4.55898i | 0.0716619 | − | 0.703466i | ||||
\(43\) | −1.35510 | − | 2.34709i | −0.206650 | − | 0.357929i | 0.744007 | − | 0.668172i | \(-0.232923\pi\) |
−0.950657 | + | 0.310243i | \(0.899590\pi\) | |||||||
\(44\) | −1.28088 | − | 0.739517i | −0.193100 | − | 0.111486i | ||||
\(45\) | −0.615082 | + | 2.00437i | −0.0916910 | + | 0.298793i | ||||
\(46\) | −4.01694 | + | 6.95754i | −0.592265 | + | 1.02583i | ||||
\(47\) | −3.64146 | + | 6.30720i | −0.531162 | + | 0.919999i | 0.468177 | + | 0.883635i | \(0.344911\pi\) |
−0.999339 | + | 0.0363646i | \(0.988422\pi\) | |||||||
\(48\) | 1.02954 | + | 1.39286i | 0.148601 | + | 0.201042i | ||||
\(49\) | −0.661973 | − | 6.96863i | −0.0945676 | − | 0.995518i | ||||
\(50\) | 3.90714 | + | 2.25579i | 0.552553 | + | 0.319017i | ||||
\(51\) | 1.09141 | − | 2.50651i | 0.152829 | − | 0.350981i | ||||
\(52\) | 2.73429 | + | 2.35025i | 0.379177 | + | 0.325921i | ||||
\(53\) | 6.97573 | − | 4.02744i | 0.958190 | − | 0.553212i | 0.0625748 | − | 0.998040i | \(-0.480069\pi\) |
0.895616 | + | 0.444829i | \(0.146735\pi\) | |||||||
\(54\) | −3.38080 | + | 3.94590i | −0.460069 | + | 0.536970i | ||||
\(55\) | 0.895173 | + | 0.516829i | 0.120705 | + | 0.0696892i | ||||
\(56\) | 1.95729 | + | 1.78017i | 0.261554 | + | 0.237886i | ||||
\(57\) | −1.49984 | − | 13.2252i | −0.198658 | − | 1.75172i | ||||
\(58\) | 4.69348 | 0.616284 | ||||||||
\(59\) | 6.89630 | − | 11.9447i | 0.897822 | − | 1.55507i | 0.0675492 | − | 0.997716i | \(-0.478482\pi\) |
0.830273 | − | 0.557357i | \(-0.188185\pi\) | |||||||
\(60\) | −0.719516 | − | 0.973431i | −0.0928891 | − | 0.125669i | ||||
\(61\) | − | 3.69483i | − | 0.473074i | −0.971622 | − | 0.236537i | \(-0.923988\pi\) | ||
0.971622 | − | 0.236537i | \(-0.0760125\pi\) | |||||||
\(62\) | 3.36696 | − | 5.83175i | 0.427605 | − | 0.740633i | ||||
\(63\) | −3.88997 | + | 6.91868i | −0.490090 | + | 0.871672i | ||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | −1.91092 | − | 1.64253i | −0.237020 | − | 0.203731i | ||||
\(66\) | 1.52272 | + | 2.06008i | 0.187434 | + | 0.253579i | ||||
\(67\) | −3.95565 | −0.483260 | −0.241630 | − | 0.970368i | \(-0.577682\pi\) | ||||
−0.241630 | + | 0.970368i | \(0.577682\pi\) | |||||||
\(68\) | 0.789186 | + | 1.36691i | 0.0957028 | + | 0.165762i | ||||
\(69\) | 11.1900 | − | 8.27117i | 1.34712 | − | 0.995732i | ||||
\(70\) | −1.36790 | − | 1.24411i | −0.163495 | − | 0.148700i | ||||
\(71\) | −11.6622 | + | 6.73317i | −1.38405 | + | 0.799081i | −0.992636 | − | 0.121135i | \(-0.961347\pi\) |
−0.391412 | + | 0.920215i | \(0.628013\pi\) | |||||||
\(72\) | −0.671806 | − | 2.92381i | −0.0791731 | − | 0.344575i | ||||
\(73\) | −12.7319 | + | 7.35079i | −1.49016 | + | 0.860345i | −0.999937 | − | 0.0112512i | \(-0.996419\pi\) |
−0.490225 | + | 0.871596i | \(0.663085\pi\) | |||||||
\(74\) | −1.58359 | − | 0.914289i | −0.184089 | − | 0.106284i | ||||
\(75\) | −4.64484 | − | 6.28398i | −0.536340 | − | 0.725612i | ||||
\(76\) | 6.65498 | + | 3.84225i | 0.763378 | + | 0.440737i | ||||
\(77\) | 2.89490 | + | 2.63294i | 0.329904 | + | 0.300051i | ||||
\(78\) | −2.71698 | − | 5.62299i | −0.307638 | − | 0.636678i | ||||
\(79\) | −2.64220 | + | 4.57643i | −0.297271 | + | 0.514888i | −0.975511 | − | 0.219952i | \(-0.929410\pi\) |
0.678240 | + | 0.734841i | \(0.262743\pi\) | |||||||
\(80\) | 0.698873 | 0.0781364 | ||||||||
\(81\) | 8.09735 | − | 3.92847i | 0.899706 | − | 0.436496i | ||||
\(82\) | 3.27613i | 0.361788i | ||||||||
\(83\) | 0.659952 | 0.0724392 | 0.0362196 | − | 0.999344i | \(-0.488468\pi\) | ||||
0.0362196 | + | 0.999344i | \(0.488468\pi\) | |||||||
\(84\) | −1.87729 | − | 4.18040i | −0.204829 | − | 0.456120i | ||||
\(85\) | −0.551541 | − | 0.955297i | −0.0598230 | − | 0.103616i | ||||
\(86\) | −2.34709 | − | 1.35510i | −0.253094 | − | 0.146124i | ||||
\(87\) | −7.45340 | − | 3.24545i | −0.799089 | − | 0.347949i | ||||
\(88\) | −1.47903 | −0.157666 | ||||||||
\(89\) | 3.02094 | + | 5.23242i | 0.320219 | + | 0.554635i | 0.980533 | − | 0.196354i | \(-0.0629102\pi\) |
−0.660314 | + | 0.750989i | \(0.729577\pi\) | |||||||
\(90\) | 0.469507 | + | 2.04337i | 0.0494904 | + | 0.215391i | ||||
\(91\) | −5.74528 | − | 7.61523i | −0.602269 | − | 0.798293i | ||||
\(92\) | 8.03387i | 0.837589i | ||||||||
\(93\) | −9.37940 | + | 6.93283i | −0.972599 | + | 0.718901i | ||||
\(94\) | 7.28293i | 0.751176i | ||||||||
\(95\) | −4.65098 | − | 2.68525i | −0.477181 | − | 0.275501i | ||||
\(96\) | 1.58803 | + | 0.691481i | 0.162078 | + | 0.0705740i | ||||
\(97\) | 10.8368 | − | 6.25663i | 1.10031 | − | 0.635265i | 0.164008 | − | 0.986459i | \(-0.447558\pi\) |
0.936303 | + | 0.351194i | \(0.114224\pi\) | |||||||
\(98\) | −4.05760 | − | 5.70402i | −0.409880 | − | 0.576193i | ||||
\(99\) | −0.993624 | − | 4.32442i | −0.0998630 | − | 0.434620i | ||||
\(100\) | 4.51158 | 0.451158 | ||||||||
\(101\) | −1.11527 | −0.110974 | −0.0554869 | − | 0.998459i | \(-0.517671\pi\) | ||||
−0.0554869 | + | 0.998459i | \(0.517671\pi\) | |||||||
\(102\) | −0.308061 | − | 2.71641i | −0.0305026 | − | 0.268964i | ||||
\(103\) | −13.1642 | − | 7.60037i | −1.29711 | − | 0.748887i | −0.317206 | − | 0.948357i | \(-0.602745\pi\) |
−0.979904 | + | 0.199470i | \(0.936078\pi\) | |||||||
\(104\) | 3.54309 | + | 0.668235i | 0.347428 | + | 0.0655258i | ||||
\(105\) | 1.31199 | + | 2.92157i | 0.128037 | + | 0.285116i | ||||
\(106\) | 4.02744 | − | 6.97573i | 0.391180 | − | 0.677543i | ||||
\(107\) | 9.24982 | − | 5.34039i | 0.894214 | − | 0.516275i | 0.0188956 | − | 0.999821i | \(-0.493985\pi\) |
0.875319 | + | 0.483547i | \(0.160652\pi\) | |||||||
\(108\) | −0.954911 | + | 5.10766i | −0.0918863 | + | 0.491484i | ||||
\(109\) | −4.58784 | − | 7.94637i | −0.439435 | − | 0.761124i | 0.558211 | − | 0.829699i | \(-0.311488\pi\) |
−0.997646 | + | 0.0685753i | \(0.978155\pi\) | |||||||
\(110\) | 1.03366 | 0.0985554 | ||||||||
\(111\) | 1.88259 | + | 2.54695i | 0.178687 | + | 0.241746i | ||||
\(112\) | 2.58515 | + | 0.563029i | 0.244274 | + | 0.0532012i | ||||
\(113\) | 8.76754 | − | 5.06194i | 0.824781 | − | 0.476187i | −0.0272816 | − | 0.999628i | \(-0.508685\pi\) |
0.852062 | + | 0.523440i | \(0.175352\pi\) | |||||||
\(114\) | −7.91149 | − | 10.7034i | −0.740979 | − | 1.00247i | ||||
\(115\) | − | 5.61466i | − | 0.523570i | ||||||
\(116\) | 4.06467 | − | 2.34674i | 0.377395 | − | 0.217889i | ||||
\(117\) | 0.426474 | + | 10.8082i | 0.0394275 | + | 0.999222i | ||||
\(118\) | − | 13.7926i | − | 1.26971i | ||||||
\(119\) | −1.27055 | − | 3.97800i | −0.116471 | − | 0.364663i | ||||
\(120\) | −1.10983 | − | 0.483258i | −0.101314 | − | 0.0441152i | ||||
\(121\) | 8.81246 | 0.801133 | ||||||||
\(122\) | −1.84741 | − | 3.19981i | −0.167257 | − | 0.289698i | ||||
\(123\) | 2.26538 | − | 5.20260i | 0.204263 | − | 0.469103i | ||||
\(124\) | − | 6.73393i | − | 0.604725i | ||||||
\(125\) | −6.64739 | −0.594560 | ||||||||
\(126\) | 0.0905275 | + | 7.93674i | 0.00806484 | + | 0.707061i | ||||
\(127\) | 6.67458 | − | 11.5607i | 0.592273 | − | 1.02585i | −0.401652 | − | 0.915792i | \(-0.631564\pi\) |
0.993925 | − | 0.110055i | \(-0.0351027\pi\) | |||||||
\(128\) | −0.866025 | + | 0.500000i | −0.0765466 | + | 0.0441942i | ||||
\(129\) | 2.79024 | + | 3.77491i | 0.245667 | + | 0.332362i | ||||
\(130\) | −2.47617 | − | 0.467011i | −0.217174 | − | 0.0409596i | ||||
\(131\) | −9.16140 | + | 15.8680i | −0.800435 | + | 1.38639i | 0.118895 | + | 0.992907i | \(0.462065\pi\) |
−0.919330 | + | 0.393487i | \(0.871269\pi\) | |||||||
\(132\) | 2.34876 | + | 1.02272i | 0.204433 | + | 0.0890167i | ||||
\(133\) | −15.0408 | − | 13.6797i | −1.30420 | − | 1.18618i | ||||
\(134\) | −3.42570 | + | 1.97783i | −0.295935 | + | 0.170858i | ||||
\(135\) | 0.667361 | − | 3.56960i | 0.0574373 | − | 0.307223i | ||||
\(136\) | 1.36691 | + | 0.789186i | 0.117212 | + | 0.0676721i | ||||
\(137\) | 17.2602 | + | 9.96519i | 1.47464 | + | 0.851384i | 0.999592 | − | 0.0285764i | \(-0.00909740\pi\) |
0.475048 | + | 0.879960i | \(0.342431\pi\) | |||||||
\(138\) | 5.55527 | − | 12.7581i | 0.472896 | − | 1.08604i | ||||
\(139\) | 10.8758 | − | 6.27916i | 0.922475 | − | 0.532591i | 0.0380515 | − | 0.999276i | \(-0.487885\pi\) |
0.884424 | + | 0.466684i | \(0.154552\pi\) | |||||||
\(140\) | −1.80669 | − | 0.393486i | −0.152693 | − | 0.0332556i | ||||
\(141\) | 5.03601 | − | 11.5655i | 0.424108 | − | 0.973994i | ||||
\(142\) | −6.73317 | + | 11.6622i | −0.565035 | + | 0.978670i | ||||
\(143\) | 5.24035 | + | 0.988342i | 0.438220 | + | 0.0826493i | ||||
\(144\) | −2.04371 | − | 2.19619i | −0.170309 | − | 0.183016i | ||||
\(145\) | −2.84069 | + | 1.64007i | −0.235906 | + | 0.136201i | ||||
\(146\) | −7.35079 | + | 12.7319i | −0.608356 | + | 1.05370i | ||||
\(147\) | 2.49938 | + | 11.8639i | 0.206146 | + | 0.978521i | ||||
\(148\) | −1.82858 | −0.150308 | ||||||||
\(149\) | 6.75118i | 0.553078i | 0.961003 | + | 0.276539i | \(0.0891876\pi\) | ||||
−0.961003 | + | 0.276539i | \(0.910812\pi\) | |||||||
\(150\) | −7.16454 | − | 3.11967i | −0.584982 | − | 0.254720i | ||||
\(151\) | 3.81143 | + | 6.60158i | 0.310169 | + | 0.537229i | 0.978399 | − | 0.206726i | \(-0.0662809\pi\) |
−0.668229 | + | 0.743955i | \(0.732948\pi\) | |||||||
\(152\) | 7.68450 | 0.623296 | ||||||||
\(153\) | −1.38913 | + | 4.52677i | −0.112305 | + | 0.365967i | ||||
\(154\) | 3.82352 | + | 0.832739i | 0.308108 | + | 0.0671040i | ||||
\(155\) | 4.70616i | 0.378008i | ||||||||
\(156\) | −5.16447 | − | 3.51116i | −0.413489 | − | 0.281118i | ||||
\(157\) | 5.16669 | − | 2.98299i | 0.412347 | − | 0.238069i | −0.279451 | − | 0.960160i | \(-0.590152\pi\) |
0.691798 | + | 0.722091i | \(0.256819\pi\) | |||||||
\(158\) | 5.28440i | 0.420404i | ||||||||
\(159\) | −11.2193 | + | 8.29280i | −0.889749 | + | 0.657662i | ||||
\(160\) | 0.605242 | − | 0.349437i | 0.0478486 | − | 0.0276254i | ||||
\(161\) | 4.52330 | − | 20.7688i | 0.356486 | − | 1.63681i | ||||
\(162\) | 5.04828 | − | 7.45083i | 0.396630 | − | 0.585393i | ||||
\(163\) | 7.57988 | 0.593702 | 0.296851 | − | 0.954924i | \(-0.404063\pi\) | ||||
0.296851 | + | 0.954924i | \(0.404063\pi\) | |||||||
\(164\) | 1.63806 | + | 2.83721i | 0.127911 | + | 0.221549i | ||||
\(165\) | −1.64148 | − | 0.714755i | −0.127789 | − | 0.0556436i | ||||
\(166\) | 0.571535 | − | 0.329976i | 0.0443597 | − | 0.0256111i | ||||
\(167\) | −0.895737 | + | 1.55146i | −0.0693142 | + | 0.120056i | −0.898600 | − | 0.438770i | \(-0.855414\pi\) |
0.829285 | + | 0.558825i | \(0.188748\pi\) | |||||||
\(168\) | −3.71598 | − | 2.68169i | −0.286694 | − | 0.206897i | ||||
\(169\) | −12.1069 | − | 4.73523i | −0.931302 | − | 0.364248i | ||||
\(170\) | −0.955297 | − | 0.551541i | −0.0732679 | − | 0.0423012i | ||||
\(171\) | 5.16250 | + | 22.4680i | 0.394786 | + | 1.71817i | ||||
\(172\) | −2.71019 | −0.206650 | ||||||||
\(173\) | −16.1435 | −1.22737 | −0.613685 | − | 0.789551i | \(-0.710313\pi\) | ||||
−0.613685 | + | 0.789551i | \(0.710313\pi\) | |||||||
\(174\) | −8.07756 | + | 0.916058i | −0.612359 | + | 0.0694462i | ||||
\(175\) | −11.6631 | − | 2.54015i | −0.881647 | − | 0.192017i | ||||
\(176\) | −1.28088 | + | 0.739517i | −0.0965500 | + | 0.0557432i | ||||
\(177\) | −9.53733 | + | 21.9031i | −0.716869 | + | 1.64634i | ||||
\(178\) | 5.23242 | + | 3.02094i | 0.392186 | + | 0.226429i | ||||
\(179\) | − | 0.980251i | − | 0.0732674i | −0.999329 | − | 0.0366337i | \(-0.988337\pi\) | ||
0.999329 | − | 0.0366337i | \(-0.0116635\pi\) | |||||||
\(180\) | 1.42829 | + | 1.53486i | 0.106459 | + | 0.114402i | ||||
\(181\) | 7.63392i | 0.567425i | 0.958909 | + | 0.283712i | \(0.0915661\pi\) | ||||
−0.958909 | + | 0.283712i | \(0.908434\pi\) | |||||||
\(182\) | −8.78317 | − | 3.72235i | −0.651052 | − | 0.275919i | ||||
\(183\) | 0.721145 | + | 6.35887i | 0.0533085 | + | 0.470061i | ||||
\(184\) | 4.01694 | + | 6.95754i | 0.296132 | + | 0.512916i | ||||
\(185\) | 1.27794 | 0.0939563 | ||||||||
\(186\) | −4.65639 | + | 10.6937i | −0.341423 | + | 0.784101i | ||||
\(187\) | 2.02171 | + | 1.16723i | 0.147842 | + | 0.0853565i | ||||
\(188\) | 3.64146 | + | 6.30720i | 0.265581 | + | 0.460000i | ||||
\(189\) | 5.34435 | − | 12.6664i | 0.388744 | − | 0.921346i | ||||
\(190\) | −5.37049 | −0.389617 | ||||||||
\(191\) | 22.2493i | 1.60991i | 0.593338 | + | 0.804953i | \(0.297810\pi\) | ||||
−0.593338 | + | 0.804953i | \(0.702190\pi\) | |||||||
\(192\) | 1.72102 | − | 0.195177i | 0.124204 | − | 0.0140857i | ||||
\(193\) | −7.96297 | −0.573187 | −0.286593 | − | 0.958052i | \(-0.592523\pi\) | ||||
−0.286593 | + | 0.958052i | \(0.592523\pi\) | |||||||
\(194\) | 6.25663 | − | 10.8368i | 0.449200 | − | 0.778037i | ||||
\(195\) | 3.60931 | + | 2.45385i | 0.258468 | + | 0.175724i | ||||
\(196\) | −6.36600 | − | 2.91103i | −0.454714 | − | 0.207931i | ||||
\(197\) | 7.75682 | + | 4.47840i | 0.552651 | + | 0.319073i | 0.750190 | − | 0.661222i | \(-0.229962\pi\) |
−0.197540 | + | 0.980295i | \(0.563295\pi\) | |||||||
\(198\) | −3.02271 | − | 3.24824i | −0.214815 | − | 0.230843i | ||||
\(199\) | 18.8892 | + | 10.9057i | 1.33902 | + | 0.773082i | 0.986662 | − | 0.162784i | \(-0.0520473\pi\) |
0.352356 | + | 0.935866i | \(0.385381\pi\) | |||||||
\(200\) | 3.90714 | − | 2.25579i | 0.276276 | − | 0.159508i | ||||
\(201\) | 6.80776 | − | 0.772052i | 0.480182 | − | 0.0544564i | ||||
\(202\) | −0.965855 | + | 0.557637i | −0.0679573 | + | 0.0392352i | ||||
\(203\) | −11.8291 | + | 3.77814i | −0.830238 | + | 0.265174i | ||||
\(204\) | −1.62499 | − | 2.19845i | −0.113772 | − | 0.153922i | ||||
\(205\) | −1.14480 | − | 1.98285i | −0.0799562 | − | 0.138488i | ||||
\(206\) | −15.2007 | −1.05909 | ||||||||
\(207\) | −17.6439 | + | 16.4189i | −1.22634 | + | 1.14119i | ||||
\(208\) | 3.40252 | − | 1.19284i | 0.235922 | − | 0.0827082i | ||||
\(209\) | 11.3656 | 0.786178 | ||||||||
\(210\) | 2.59700 | + | 1.87416i | 0.179210 | + | 0.129330i | ||||
\(211\) | 6.15759 | − | 10.6653i | 0.423906 | − | 0.734227i | −0.572412 | − | 0.819966i | \(-0.693992\pi\) |
0.996318 | + | 0.0857397i | \(0.0273253\pi\) | |||||||
\(212\) | − | 8.05488i | − | 0.553212i | ||||||
\(213\) | 18.7567 | − | 13.8641i | 1.28519 | − | 0.949953i | ||||
\(214\) | 5.34039 | − | 9.24982i | 0.365061 | − | 0.632305i | ||||
\(215\) | 1.89408 | 0.129175 | ||||||||
\(216\) | 1.72685 | + | 4.90081i | 0.117497 | + | 0.333458i | ||||
\(217\) | −3.79140 | + | 17.4082i | −0.257377 | + | 1.18175i | ||||
\(218\) | −7.94637 | − | 4.58784i | −0.538196 | − | 0.310727i | ||||
\(219\) | 20.4772 | − | 15.1358i | 1.38372 | − | 1.02278i | ||||
\(220\) | 0.895173 | − | 0.516829i | 0.0603526 | − | 0.0348446i | ||||
\(221\) | −4.31572 | − | 3.70957i | −0.290307 | − | 0.249533i | ||||
\(222\) | 2.90384 | + | 1.26443i | 0.194893 | + | 0.0848628i | ||||
\(223\) | 10.0515 | + | 5.80325i | 0.673100 | + | 0.388615i | 0.797250 | − | 0.603649i | \(-0.206287\pi\) |
−0.124150 | + | 0.992263i | \(0.539620\pi\) | |||||||
\(224\) | 2.52032 | − | 0.804977i | 0.168396 | − | 0.0537848i | ||||
\(225\) | 9.22034 | + | 9.90829i | 0.614689 | + | 0.660553i | ||||
\(226\) | 5.06194 | − | 8.76754i | 0.336715 | − | 0.583208i | ||||
\(227\) | −0.594606 | + | 1.02989i | −0.0394654 | + | 0.0683560i | −0.885083 | − | 0.465432i | \(-0.845899\pi\) |
0.845618 | + | 0.533788i | \(0.179232\pi\) | |||||||
\(228\) | −12.2033 | − | 5.31369i | −0.808181 | − | 0.351908i | ||||
\(229\) | 5.77423 | + | 3.33375i | 0.381572 | + | 0.220301i | 0.678502 | − | 0.734599i | \(-0.262630\pi\) |
−0.296930 | + | 0.954899i | \(0.595963\pi\) | |||||||
\(230\) | −2.80733 | − | 4.86244i | −0.185110 | − | 0.320620i | ||||
\(231\) | −5.49606 | − | 3.96631i | −0.361615 | − | 0.260964i | ||||
\(232\) | 2.34674 | − | 4.06467i | 0.154071 | − | 0.266859i | ||||
\(233\) | 6.24464 | + | 3.60534i | 0.409100 | + | 0.236194i | 0.690403 | − | 0.723425i | \(-0.257433\pi\) |
−0.281303 | + | 0.959619i | \(0.590767\pi\) | |||||||
\(234\) | 5.77346 | + | 9.14698i | 0.377423 | + | 0.597957i | ||||
\(235\) | −2.54492 | − | 4.40793i | −0.166012 | − | 0.287542i | ||||
\(236\) | −6.89630 | − | 11.9447i | −0.448911 | − | 0.777537i | ||||
\(237\) | 3.65407 | − | 8.39181i | 0.237357 | − | 0.545107i | ||||
\(238\) | −3.08933 | − | 2.80977i | −0.200252 | − | 0.182131i | ||||
\(239\) | 6.59526i | 0.426612i | 0.976985 | + | 0.213306i | \(0.0684231\pi\) | ||||
−0.976985 | + | 0.213306i | \(0.931577\pi\) | |||||||
\(240\) | −1.20277 | + | 0.136404i | −0.0776387 | + | 0.00880483i | ||||
\(241\) | −3.82445 | − | 2.20804i | −0.246354 | − | 0.142233i | 0.371740 | − | 0.928337i | \(-0.378761\pi\) |
−0.618094 | + | 0.786104i | \(0.712095\pi\) | |||||||
\(242\) | 7.63181 | − | 4.40623i | 0.490592 | − | 0.283243i | ||||
\(243\) | −13.1690 | + | 8.34138i | −0.844789 | + | 0.535100i | ||||
\(244\) | −3.19981 | − | 1.84741i | −0.204847 | − | 0.118269i | ||||
\(245\) | 4.44902 | + | 2.03444i | 0.284238 | + | 0.129976i | ||||
\(246\) | −0.639424 | − | 5.63828i | −0.0407682 | − | 0.359484i | ||||
\(247\) | −27.2269 | − | 5.13505i | −1.73240 | − | 0.326736i | ||||
\(248\) | −3.36696 | − | 5.83175i | −0.213802 | − | 0.370317i | ||||
\(249\) | −1.13579 | + | 0.128807i | −0.0719778 | + | 0.00816283i | ||||
\(250\) | −5.75681 | + | 3.32369i | −0.364092 | + | 0.210209i | ||||
\(251\) | −7.62856 | − | 13.2131i | −0.481511 | − | 0.834001i | 0.518264 | − | 0.855221i | \(-0.326578\pi\) |
−0.999775 | + | 0.0212197i | \(0.993245\pi\) | |||||||
\(252\) | 4.04677 | + | 6.82815i | 0.254922 | + | 0.430133i | ||||
\(253\) | 5.94119 | + | 10.2904i | 0.373519 | + | 0.646954i | ||||
\(254\) | − | 13.3492i | − | 0.837601i | ||||||
\(255\) | 1.13566 | + | 1.53644i | 0.0711180 | + | 0.0962153i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −7.35225 | − | 12.7345i | −0.458621 | − | 0.794355i | 0.540267 | − | 0.841493i | \(-0.318323\pi\) |
−0.998888 | + | 0.0471387i | \(0.984990\pi\) | |||||||
\(258\) | 4.30388 | + | 1.87405i | 0.267948 | + | 0.116673i | ||||
\(259\) | 4.72715 | + | 1.02954i | 0.293731 | + | 0.0639727i | ||||
\(260\) | −2.37793 | + | 0.833640i | −0.147473 | + | 0.0517002i | ||||
\(261\) | 13.4609 | + | 4.13075i | 0.833208 | + | 0.255687i | ||||
\(262\) | 18.3228i | 1.13199i | ||||||||
\(263\) | 13.3459i | 0.822944i | 0.911422 | + | 0.411472i | \(0.134985\pi\) | ||||
−0.911422 | + | 0.411472i | \(0.865015\pi\) | |||||||
\(264\) | 2.54545 | − | 0.288673i | 0.156661 | − | 0.0177666i | ||||
\(265\) | 5.62934i | 0.345808i | ||||||||
\(266\) | −19.8656 | − | 4.32660i | −1.21804 | − | 0.265281i | ||||
\(267\) | −6.22034 | − | 8.41548i | −0.380679 | − | 0.515019i | ||||
\(268\) | −1.97783 | + | 3.42570i | −0.120815 | + | 0.209258i | ||||
\(269\) | 9.42280 | − | 16.3208i | 0.574518 | − | 0.995095i | −0.421576 | − | 0.906793i | \(-0.638523\pi\) |
0.996094 | − | 0.0883015i | \(-0.0281439\pi\) | |||||||
\(270\) | −1.20685 | − | 3.42505i | −0.0734465 | − | 0.208442i | ||||
\(271\) | −8.32026 | + | 4.80370i | −0.505420 | + | 0.291804i | −0.730949 | − | 0.682432i | \(-0.760922\pi\) |
0.225529 | + | 0.974236i | \(0.427589\pi\) | |||||||
\(272\) | 1.57837 | 0.0957028 | ||||||||
\(273\) | 11.3740 | + | 11.9846i | 0.688389 | + | 0.725342i | ||||
\(274\) | 19.9304 | 1.20404 | ||||||||
\(275\) | 5.77879 | − | 3.33639i | 0.348474 | − | 0.201192i | ||||
\(276\) | −1.56803 | − | 13.8264i | −0.0943840 | − | 0.832254i | ||||
\(277\) | −2.92622 | + | 5.06836i | −0.175819 | + | 0.304528i | −0.940445 | − | 0.339947i | \(-0.889591\pi\) |
0.764625 | + | 0.644475i | \(0.222924\pi\) | |||||||
\(278\) | 6.27916 | − | 10.8758i | 0.376599 | − | 0.652289i | ||||
\(279\) | 14.7890 | − | 13.7622i | 0.885395 | − | 0.823920i | ||||
\(280\) | −1.76138 | + | 0.562577i | −0.105263 | + | 0.0336204i | ||||
\(281\) | 5.61993i | 0.335257i | 0.985850 | + | 0.167628i | \(0.0536109\pi\) | ||||
−0.985850 | + | 0.167628i | \(0.946389\pi\) | |||||||
\(282\) | −1.42146 | − | 12.5341i | −0.0846466 | − | 0.746392i | ||||
\(283\) | − | 15.7084i | − | 0.933770i | −0.884318 | − | 0.466885i | \(-0.845376\pi\) | ||
0.884318 | − | 0.466885i | \(-0.154624\pi\) | |||||||
\(284\) | 13.4663i | 0.799081i | ||||||||
\(285\) | 8.52853 | + | 3.71360i | 0.505187 | + | 0.219975i | ||||
\(286\) | 5.03244 | − | 1.76424i | 0.297575 | − | 0.104322i | ||||
\(287\) | −2.63721 | − | 8.25689i | −0.155670 | − | 0.487389i | ||||
\(288\) | −2.86800 | − | 0.880105i | −0.168998 | − | 0.0518607i | ||||
\(289\) | 7.25437 | + | 12.5649i | 0.426728 | + | 0.739114i | ||||
\(290\) | −1.64007 | + | 2.84069i | −0.0963084 | + | 0.166811i | ||||
\(291\) | −17.4292 | + | 12.8829i | −1.02172 | + | 0.755208i | ||||
\(292\) | 14.7016i | 0.860345i | ||||||||
\(293\) | 1.93283 | + | 3.34776i | 0.112917 | + | 0.195578i | 0.916945 | − | 0.399013i | \(-0.130647\pi\) |
−0.804028 | + | 0.594591i | \(0.797314\pi\) | |||||||
\(294\) | 8.09650 | + | 9.02478i | 0.472197 | + | 0.526336i | ||||
\(295\) | 4.81964 | + | 8.34786i | 0.280610 | + | 0.486031i | ||||
\(296\) | −1.58359 | + | 0.914289i | −0.0920446 | + | 0.0531420i | ||||
\(297\) | 2.55407 | + | 7.24847i | 0.148202 | + | 0.420599i | ||||
\(298\) | 3.37559 | + | 5.84670i | 0.195543 | + | 0.338690i | ||||
\(299\) | −9.58308 | − | 27.3354i | −0.554204 | − | 1.58085i | ||||
\(300\) | −7.76451 | + | 0.880555i | −0.448284 | + | 0.0508389i | ||||
\(301\) | 7.00625 | + | 1.52592i | 0.403833 | + | 0.0879524i | ||||
\(302\) | 6.60158 | + | 3.81143i | 0.379878 | + | 0.219323i | ||||
\(303\) | 1.91941 | − | 0.217675i | 0.110267 | − | 0.0125051i | ||||
\(304\) | 6.65498 | − | 3.84225i | 0.381689 | − | 0.220368i | ||||
\(305\) | 2.23626 | + | 1.29111i | 0.128048 | + | 0.0739286i | ||||
\(306\) | 1.06036 | + | 4.61486i | 0.0606167 | + | 0.263814i | ||||
\(307\) | 23.4663i | 1.33929i | 0.742681 | + | 0.669645i | \(0.233554\pi\) | ||||
−0.742681 | + | 0.669645i | \(0.766446\pi\) | |||||||
\(308\) | 3.72764 | − | 1.19059i | 0.212402 | − | 0.0678401i | ||||
\(309\) | 24.1393 | + | 10.5110i | 1.37324 | + | 0.597952i | ||||
\(310\) | 2.35308 | + | 4.07566i | 0.133646 | + | 0.231482i | ||||
\(311\) | −8.46088 | − | 14.6547i | −0.479773 | − | 0.830991i | 0.519958 | − | 0.854192i | \(-0.325948\pi\) |
−0.999731 | + | 0.0232012i | \(0.992614\pi\) | |||||||
\(312\) | −6.22814 | − | 0.458516i | −0.352599 | − | 0.0259584i | ||||
\(313\) | 14.8585 | + | 8.57858i | 0.839854 | + | 0.484890i | 0.857214 | − | 0.514960i | \(-0.172193\pi\) |
−0.0173608 | + | 0.999849i | \(0.505526\pi\) | |||||||
\(314\) | 2.98299 | − | 5.16669i | 0.168340 | − | 0.291573i | ||||
\(315\) | −2.82818 | − | 4.77201i | −0.159350 | − | 0.268872i | ||||
\(316\) | 2.64220 | + | 4.57643i | 0.148635 | + | 0.257444i | ||||
\(317\) | 21.3869 | + | 12.3478i | 1.20121 | + | 0.693519i | 0.960824 | − | 0.277158i | \(-0.0893927\pi\) |
0.240386 | + | 0.970677i | \(0.422726\pi\) | |||||||
\(318\) | −5.56980 | + | 12.7914i | −0.312339 | + | 0.717308i | ||||
\(319\) | 3.47091 | − | 6.01179i | 0.194333 | − | 0.336595i | ||||
\(320\) | 0.349437 | − | 0.605242i | 0.0195341 | − | 0.0338341i | ||||
\(321\) | −14.8768 | + | 10.9963i | −0.830342 | + | 0.613751i | ||||
\(322\) | −6.46708 | − | 20.2479i | −0.360397 | − | 1.12837i | ||||
\(323\) | −10.5040 | − | 6.06450i | −0.584459 | − | 0.337438i | ||||
\(324\) | 0.646523 | − | 8.97675i | 0.0359180 | − | 0.498708i | ||||
\(325\) | −15.3507 | + | 5.38157i | −0.851505 | + | 0.298516i | ||||
\(326\) | 6.56437 | − | 3.78994i | 0.363567 | − | 0.209905i | ||||
\(327\) | 9.44670 | + | 12.7804i | 0.522404 | + | 0.706758i | ||||
\(328\) | 2.83721 | + | 1.63806i | 0.156659 | + | 0.0904470i | ||||
\(329\) | −5.86259 | − | 18.3553i | −0.323215 | − | 1.01196i | ||||
\(330\) | −1.77894 | + | 0.201746i | −0.0979276 | + | 0.0111057i | ||||
\(331\) | 32.0333 | 1.76071 | 0.880354 | − | 0.474318i | \(-0.157305\pi\) | ||||
0.880354 | + | 0.474318i | \(0.157305\pi\) | |||||||
\(332\) | 0.329976 | − | 0.571535i | 0.0181098 | − | 0.0313671i | ||||
\(333\) | −3.73708 | − | 4.01591i | −0.204791 | − | 0.220070i | ||||
\(334\) | 1.79147i | 0.0980251i | ||||||||
\(335\) | 1.38225 | − | 2.39413i | 0.0755204 | − | 0.130805i | ||||
\(336\) | −4.55898 | − | 0.464422i | −0.248713 | − | 0.0253363i | ||||
\(337\) | −22.5440 | −1.22805 | −0.614024 | − | 0.789287i | \(-0.710450\pi\) | ||||
−0.614024 | + | 0.789287i | \(0.710450\pi\) | |||||||
\(338\) | −12.8525 | + | 1.95264i | −0.699085 | + | 0.106209i | ||||
\(339\) | −14.1011 | + | 10.4229i | −0.765868 | + | 0.566095i | ||||
\(340\) | −1.10308 | −0.0598230 | ||||||||
\(341\) | −4.97985 | − | 8.62536i | −0.269674 | − | 0.467090i | ||||
\(342\) | 15.7049 | + | 16.8767i | 0.849222 | + | 0.912585i | ||||
\(343\) | 14.8181 | + | 11.1097i | 0.800100 | + | 0.599867i | ||||
\(344\) | −2.34709 | + | 1.35510i | −0.126547 | + | 0.0730619i | ||||
\(345\) | 1.09585 | + | 9.66293i | 0.0589986 | + | 0.520235i | ||||
\(346\) | −13.9807 | + | 8.07176i | −0.751607 | + | 0.433941i | ||||
\(347\) | −13.7226 | − | 7.92275i | −0.736668 | − | 0.425316i | 0.0841884 | − | 0.996450i | \(-0.473170\pi\) |
−0.820857 | + | 0.571134i | \(0.806504\pi\) | |||||||
\(348\) | −6.53735 | + | 4.83211i | −0.350439 | + | 0.259028i | ||||
\(349\) | −19.3134 | − | 11.1506i | −1.03382 | − | 0.596878i | −0.115746 | − | 0.993279i | \(-0.536926\pi\) |
−0.918078 | + | 0.396401i | \(0.870259\pi\) | |||||||
\(350\) | −11.3706 | + | 3.63172i | −0.607785 | + | 0.194123i | ||||
\(351\) | −2.84349 | − | 18.5180i | −0.151774 | − | 0.988415i | ||||
\(352\) | −0.739517 | + | 1.28088i | −0.0394164 | + | 0.0682712i | ||||
\(353\) | 9.10955 | 0.484852 | 0.242426 | − | 0.970170i | \(-0.422057\pi\) | ||||
0.242426 | + | 0.970170i | \(0.422057\pi\) | |||||||
\(354\) | 2.69200 | + | 23.7373i | 0.143078 | + | 1.26162i | ||||
\(355\) | − | 9.41127i | − | 0.499498i | ||||||
\(356\) | 6.04188 | 0.320219 | ||||||||
\(357\) | 2.96306 | + | 6.59823i | 0.156822 | + | 0.349215i | ||||
\(358\) | −0.490125 | − | 0.848922i | −0.0259039 | − | 0.0448669i | ||||
\(359\) | −2.65584 | − | 1.53335i | −0.140170 | − | 0.0809271i | 0.428275 | − | 0.903648i | \(-0.359121\pi\) |
−0.568445 | + | 0.822721i | \(0.692455\pi\) | |||||||
\(360\) | 2.00437 | + | 0.615082i | 0.105639 | + | 0.0324177i | ||||
\(361\) | −40.0516 | −2.10798 | ||||||||
\(362\) | 3.81696 | + | 6.61117i | 0.200615 | + | 0.347475i | ||||
\(363\) | −15.1664 | + | 1.71999i | −0.796030 | + | 0.0902759i | ||||
\(364\) | −9.46762 | + | 1.16794i | −0.496238 | + | 0.0612166i | ||||
\(365\) | − | 10.2745i | − | 0.537794i | ||||||
\(366\) | 3.80396 | + | 5.14637i | 0.198836 | + | 0.269005i | ||||
\(367\) | − | 2.64140i | − | 0.137880i | −0.997621 | − | 0.0689399i | \(-0.978038\pi\) | ||
0.997621 | − | 0.0689399i | \(-0.0219617\pi\) | |||||||
\(368\) | 6.95754 | + | 4.01694i | 0.362687 | + | 0.209397i | ||||
\(369\) | −2.88334 | + | 9.39593i | −0.150101 | + | 0.489133i | ||||
\(370\) | 1.10673 | − | 0.638972i | 0.0575363 | − | 0.0332186i | ||||
\(371\) | −4.53513 | + | 20.8231i | −0.235452 | + | 1.08108i | ||||
\(372\) | 1.31431 | + | 11.5892i | 0.0681436 | + | 0.600873i | ||||
\(373\) | −5.38330 | −0.278737 | −0.139368 | − | 0.990241i | \(-0.544507\pi\) | ||||
−0.139368 | + | 0.990241i | \(0.544507\pi\) | |||||||
\(374\) | 2.33446 | 0.120712 | ||||||||
\(375\) | 11.4403 | − | 1.29742i | 0.590773 | − | 0.0669982i | ||||
\(376\) | 6.30720 | + | 3.64146i | 0.325269 | + | 0.187794i | ||||
\(377\) | −11.0309 | + | 12.8333i | −0.568118 | + | 0.660949i | ||||
\(378\) | −1.70487 | − | 13.6416i | −0.0876889 | − | 0.701649i | ||||
\(379\) | 6.88920 | − | 11.9324i | 0.353874 | − | 0.612929i | −0.633050 | − | 0.774111i | \(-0.718197\pi\) |
0.986925 | + | 0.161182i | \(0.0515307\pi\) | |||||||
\(380\) | −4.65098 | + | 2.68525i | −0.238590 | + | 0.137750i | ||||
\(381\) | −9.23070 | + | 21.1989i | −0.472903 | + | 1.08605i | ||||
\(382\) | 11.1247 | + | 19.2685i | 0.569188 | + | 0.985862i | ||||
\(383\) | 28.7083 | 1.46692 | 0.733462 | − | 0.679730i | \(-0.237903\pi\) | ||||
0.733462 | + | 0.679730i | \(0.237903\pi\) | |||||||
\(384\) | 1.39286 | − | 1.02954i | 0.0710790 | − | 0.0525384i | ||||
\(385\) | −2.60515 | + | 0.832071i | −0.132771 | + | 0.0424062i | ||||
\(386\) | −6.89613 | + | 3.98148i | −0.351004 | + | 0.202652i | ||||
\(387\) | −5.53884 | − | 5.95210i | −0.281555 | − | 0.302562i | ||||
\(388\) | − | 12.5133i | − | 0.635265i | ||||||
\(389\) | 19.7202 | − | 11.3855i | 0.999855 | − | 0.577267i | 0.0916497 | − | 0.995791i | \(-0.470786\pi\) |
0.908205 | + | 0.418525i | \(0.137453\pi\) | |||||||
\(390\) | 4.35268 | + | 0.320445i | 0.220407 | + | 0.0162264i | ||||
\(391\) | − | 12.6804i | − | 0.641277i | ||||||
\(392\) | −6.96863 | + | 0.661973i | −0.351969 | + | 0.0334347i | ||||
\(393\) | 12.6699 | − | 29.0972i | 0.639110 | − | 1.46776i | ||||
\(394\) | 8.95681 | 0.451237 | ||||||||
\(395\) | −1.84656 | − | 3.19834i | −0.0929107 | − | 0.160926i | ||||
\(396\) | −4.24187 | − | 1.30171i | −0.213162 | − | 0.0654132i | ||||
\(397\) | − | 10.7013i | − | 0.537084i | −0.963268 | − | 0.268542i | \(-0.913458\pi\) | ||
0.963268 | − | 0.268542i | \(-0.0865418\pi\) | |||||||
\(398\) | 21.8113 | 1.09330 | ||||||||
\(399\) | 28.5555 | + | 20.6075i | 1.42956 | + | 1.03166i | ||||
\(400\) | 2.25579 | − | 3.90714i | 0.112789 | − | 0.195357i | ||||
\(401\) | −10.7399 | + | 6.20069i | −0.536326 | + | 0.309648i | −0.743588 | − | 0.668638i | \(-0.766878\pi\) |
0.207263 | + | 0.978285i | \(0.433544\pi\) | |||||||
\(402\) | 5.50966 | − | 4.07249i | 0.274797 | − | 0.203118i | ||||
\(403\) | 8.03247 | + | 22.9123i | 0.400126 | + | 1.14134i | ||||
\(404\) | −0.557637 | + | 0.965855i | −0.0277435 | + | 0.0480531i | ||||
\(405\) | −0.451838 | + | 6.27361i | −0.0224520 | + | 0.311738i | ||||
\(406\) | −8.35520 | + | 9.18650i | −0.414662 | + | 0.455918i | ||||
\(407\) | −2.34219 | + | 1.35226i | −0.116098 | + | 0.0670293i | ||||
\(408\) | −2.50651 | − | 1.09141i | −0.124091 | − | 0.0540331i | ||||
\(409\) | 10.2314 | + | 5.90709i | 0.505909 | + | 0.292087i | 0.731151 | − | 0.682216i | \(-0.238984\pi\) |
−0.225241 | + | 0.974303i | \(0.572317\pi\) | |||||||
\(410\) | −1.98285 | − | 1.14480i | −0.0979260 | − | 0.0565376i | ||||
\(411\) | −31.6501 | − | 13.7815i | −1.56119 | − | 0.679790i | ||||
\(412\) | −13.1642 | + | 7.60037i | −0.648555 | + | 0.374443i | ||||
\(413\) | 11.1027 | + | 34.7618i | 0.546330 | + | 1.71051i | ||||
\(414\) | −7.07065 | + | 23.0411i | −0.347504 | + | 1.13241i | ||||
\(415\) | −0.230611 | + | 0.399431i | −0.0113203 | + | 0.0196073i | ||||
\(416\) | 2.35025 | − | 2.73429i | 0.115231 | − | 0.134059i | ||||
\(417\) | −17.4920 | + | 12.9293i | −0.856585 | + | 0.633149i | ||||
\(418\) | 9.84294 | − | 5.68282i | 0.481434 | − | 0.277956i | ||||
\(419\) | 7.76922 | − | 13.4567i | 0.379551 | − | 0.657402i | −0.611446 | − | 0.791286i | \(-0.709412\pi\) |
0.990997 | + | 0.133884i | \(0.0427450\pi\) | |||||||
\(420\) | 3.18615 | + | 0.324572i | 0.155468 | + | 0.0158375i | ||||
\(421\) | −26.1683 | −1.27537 | −0.637683 | − | 0.770299i | \(-0.720107\pi\) | ||||
−0.637683 | + | 0.770299i | \(0.720107\pi\) | |||||||
\(422\) | − | 12.3152i | − | 0.599494i | ||||||
\(423\) | −6.40974 | + | 20.8874i | −0.311652 | + | 1.01558i | ||||
\(424\) | −4.02744 | − | 6.97573i | −0.195590 | − | 0.338771i | ||||
\(425\) | −7.12094 | −0.345416 | ||||||||
\(426\) | 9.31173 | − | 21.3850i | 0.451155 | − | 1.03611i | ||||
\(427\) | 7.23185 | + | 6.57743i | 0.349974 | + | 0.318304i | ||||
\(428\) | − | 10.6808i | − | 0.516275i | ||||||
\(429\) | −9.21164 | − | 0.678161i | −0.444742 | − | 0.0327419i | ||||
\(430\) | 1.64032 | − | 0.947040i | 0.0791033 | − | 0.0456703i | ||||
\(431\) | 22.4841i | 1.08302i | 0.840694 | + | 0.541510i | \(0.182147\pi\) | ||||
−0.840694 | + | 0.541510i | \(0.817853\pi\) | |||||||
\(432\) | 3.94590 | + | 3.38080i | 0.189847 | + | 0.162659i | ||||
\(433\) | 18.0042 | − | 10.3947i | 0.865226 | − | 0.499538i | −0.000532949 | − | 1.00000i | \(-0.500170\pi\) |
0.865759 | + | 0.500461i | \(0.166836\pi\) | |||||||
\(434\) | 5.42066 | + | 16.9717i | 0.260200 | + | 0.814665i | ||||
\(435\) | 4.56878 | − | 3.37703i | 0.219056 | − | 0.161916i | ||||
\(436\) | −9.17567 | −0.439435 | ||||||||
\(437\) | −30.8682 | − | 53.4652i | −1.47662 | − | 2.55759i | ||||
\(438\) | 10.1659 | − | 23.3466i | 0.485744 | − | 1.11554i | ||||
\(439\) | 9.11578 | − | 5.26300i | 0.435072 | − | 0.251189i | −0.266433 | − | 0.963853i | \(-0.585845\pi\) |
0.701505 | + | 0.712664i | \(0.252512\pi\) | |||||||
\(440\) | 0.516829 | − | 0.895173i | 0.0246388 | − | 0.0426757i | ||||
\(441\) | −6.61705 | − | 19.9302i | −0.315098 | − | 0.949059i | ||||
\(442\) | −5.59231 | − | 1.05472i | −0.265999 | − | 0.0501680i | ||||
\(443\) | 22.9533 | + | 13.2521i | 1.09054 | + | 0.629625i | 0.933721 | − | 0.358002i | \(-0.116542\pi\) |
0.156822 | + | 0.987627i | \(0.449875\pi\) | |||||||
\(444\) | 3.14702 | − | 0.356896i | 0.149351 | − | 0.0169375i | ||||
\(445\) | −4.22251 | −0.200166 | ||||||||
\(446\) | 11.6065 | 0.549584 | ||||||||
\(447\) | −1.31767 | − | 11.6189i | −0.0623238 | − | 0.549556i | ||||
\(448\) | 1.78017 | − | 1.95729i | 0.0841052 | − | 0.0924733i | ||||
\(449\) | −17.4966 | + | 10.1017i | −0.825716 | + | 0.476728i | −0.852384 | − | 0.522917i | \(-0.824844\pi\) |
0.0266674 | + | 0.999644i | \(0.491510\pi\) | |||||||
\(450\) | 12.9392 | + | 3.97066i | 0.609959 | + | 0.187179i | ||||
\(451\) | 4.19633 | + | 2.42275i | 0.197597 | + | 0.114083i | ||||
\(452\) | − | 10.1239i | − | 0.476187i | ||||||
\(453\) | −7.84801 | − | 10.6175i | −0.368732 | − | 0.498856i | ||||
\(454\) | 1.18921i | 0.0558124i | ||||||||
\(455\) | 6.61667 | − | 0.816241i | 0.310194 | − | 0.0382660i | ||||
\(456\) | −13.2252 | + | 1.49984i | −0.619326 | + | 0.0702363i | ||||
\(457\) | 6.76192 | + | 11.7120i | 0.316309 | + | 0.547864i | 0.979715 | − | 0.200396i | \(-0.0642229\pi\) |
−0.663406 | + | 0.748260i | \(0.730890\pi\) | |||||||
\(458\) | 6.66750 | 0.311552 | ||||||||
\(459\) | 1.50720 | − | 8.06178i | 0.0703502 | − | 0.376292i | ||||
\(460\) | −4.86244 | − | 2.80733i | −0.226712 | − | 0.130892i | ||||
\(461\) | 15.2621 | + | 26.4348i | 0.710828 | + | 1.23119i | 0.964547 | + | 0.263913i | \(0.0850131\pi\) |
−0.253718 | + | 0.967278i | \(0.581654\pi\) | |||||||
\(462\) | −6.74289 | − | 0.686897i | −0.313708 | − | 0.0319573i | ||||
\(463\) | −18.9355 | −0.880007 | −0.440004 | − | 0.897996i | \(-0.645023\pi\) | ||||
−0.440004 | + | 0.897996i | \(0.645023\pi\) | |||||||
\(464\) | − | 4.69348i | − | 0.217889i | ||||||
\(465\) | −0.918534 | − | 8.09939i | −0.0425960 | − | 0.375600i | ||||
\(466\) | 7.21069 | 0.334029 | ||||||||
\(467\) | −0.784961 | + | 1.35959i | −0.0363237 | + | 0.0629144i | −0.883616 | − | 0.468213i | \(-0.844898\pi\) |
0.847292 | + | 0.531127i | \(0.178231\pi\) | |||||||
\(468\) | 9.57345 | + | 5.03478i | 0.442533 | + | 0.232733i | ||||
\(469\) | 7.04175 | − | 7.74237i | 0.325158 | − | 0.357509i | ||||
\(470\) | −4.40793 | − | 2.54492i | −0.203323 | − | 0.117388i | ||||
\(471\) | −8.30976 | + | 6.14220i | −0.382894 | + | 0.283018i | ||||
\(472\) | −11.9447 | − | 6.89630i | −0.549801 | − | 0.317428i | ||||
\(473\) | −3.47143 | + | 2.00423i | −0.159617 | + | 0.0921547i | ||||
\(474\) | −1.03139 | − | 9.09456i | −0.0473734 | − | 0.417727i | ||||
\(475\) | −30.0244 | + | 17.3346i | −1.37762 | + | 0.795367i | ||||
\(476\) | −4.08033 | − | 0.888669i | −0.187021 | − | 0.0407321i | ||||
\(477\) | 17.6901 | − | 16.4618i | 0.809973 | − | 0.753735i | ||||
\(478\) | 3.29763 | + | 5.71166i | 0.150830 | + | 0.261245i | ||||
\(479\) | −29.7134 | −1.35764 | −0.678819 | − | 0.734305i | \(-0.737508\pi\) | ||||
−0.678819 | + | 0.734305i | \(0.737508\pi\) | |||||||
\(480\) | −0.973431 | + | 0.719516i | −0.0444308 | + | 0.0328413i | ||||
\(481\) | 6.22177 | − | 2.18119i | 0.283688 | − | 0.0994538i | ||||
\(482\) | −4.41609 | −0.201147 | ||||||||
\(483\) | −3.73111 | + | 36.6263i | −0.169771 | + | 1.66655i | ||||
\(484\) | 4.40623 | − | 7.63181i | 0.200283 | − | 0.346901i | ||||
\(485\) | 8.74519i | 0.397098i | ||||||||
\(486\) | −7.23396 | + | 13.8083i | −0.328139 | + | 0.626358i | ||||
\(487\) | −10.3865 | + | 17.9899i | −0.470657 | + | 0.815202i | −0.999437 | − | 0.0335574i | \(-0.989316\pi\) |
0.528780 | + | 0.848759i | \(0.322650\pi\) | |||||||
\(488\) | −3.69483 | −0.167257 | ||||||||
\(489\) | −13.0451 | + | 1.47942i | −0.589921 | + | 0.0669016i | ||||
\(490\) | 4.87019 | − | 0.462636i | 0.220013 | − | 0.0208997i | ||||
\(491\) | 11.1439 | + | 6.43392i | 0.502916 | + | 0.290359i | 0.729917 | − | 0.683536i | \(-0.239559\pi\) |
−0.227001 | + | 0.973895i | \(0.572892\pi\) | |||||||
\(492\) | −3.37290 | − | 4.56318i | −0.152062 | − | 0.205724i | ||||
\(493\) | −6.41556 | + | 3.70403i | −0.288942 | + | 0.166821i | ||||
\(494\) | −26.1467 | + | 9.16635i | −1.17639 | + | 0.412413i | ||||
\(495\) | 2.96453 | + | 0.909727i | 0.133246 | + | 0.0408892i | ||||
\(496\) | −5.83175 | − | 3.36696i | −0.261853 | − | 0.151181i | ||||
\(497\) | 7.58195 | − | 34.8125i | 0.340097 | − | 1.56156i | ||||
\(498\) | −0.919219 | + | 0.679445i | −0.0411912 | + | 0.0304467i | ||||
\(499\) | 20.6074 | − | 35.6931i | 0.922516 | − | 1.59784i | 0.127007 | − | 0.991902i | \(-0.459463\pi\) |
0.795509 | − | 0.605942i | \(-0.207204\pi\) | |||||||
\(500\) | −3.32369 | + | 5.75681i | −0.148640 | + | 0.257452i | ||||
\(501\) | 1.23877 | − | 2.84492i | 0.0553442 | − | 0.127102i | ||||
\(502\) | −13.2131 | − | 7.62856i | −0.589728 | − | 0.340479i | ||||
\(503\) | −10.4430 | − | 18.0877i | −0.465629 | − | 0.806492i | 0.533601 | − | 0.845736i | \(-0.320838\pi\) |
−0.999230 | + | 0.0392439i | \(0.987505\pi\) | |||||||
\(504\) | 6.91868 | + | 3.88997i | 0.308183 | + | 0.173273i | ||||
\(505\) | 0.389717 | − | 0.675010i | 0.0173422 | − | 0.0300376i | ||||
\(506\) | 10.2904 | + | 5.94119i | 0.457466 | + | 0.264118i | ||||
\(507\) | 21.7605 | + | 5.78642i | 0.966416 | + | 0.256984i | ||||
\(508\) | −6.67458 | − | 11.5607i | −0.296137 | − | 0.512924i | ||||
\(509\) | −10.1690 | − | 17.6131i | −0.450731 | − | 0.780689i | 0.547701 | − | 0.836674i | \(-0.315503\pi\) |
−0.998432 | + | 0.0559855i | \(0.982170\pi\) | |||||||
\(510\) | 1.75173 | + | 0.762760i | 0.0775680 | + | 0.0337756i | ||||
\(511\) | 8.27742 | − | 38.0058i | 0.366171 | − | 1.68128i | ||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | −13.2700 | − | 37.6603i | −0.585885 | − | 1.66274i | ||||
\(514\) | −12.7345 | − | 7.35225i | −0.561694 | − | 0.324294i | ||||
\(515\) | 9.20013 | − | 5.31170i | 0.405406 | − | 0.234061i | ||||
\(516\) | 4.66429 | − | 0.528966i | 0.205334 | − | 0.0232864i | ||||
\(517\) | 9.32856 | + | 5.38585i | 0.410270 | + | 0.236869i | ||||
\(518\) | 4.60860 | − | 1.47196i | 0.202490 | − | 0.0646744i | ||||
\(519\) | 27.7833 | − | 3.15084i | 1.21955 | − | 0.138307i | ||||
\(520\) | −1.64253 | + | 1.91092i | −0.0720296 | + | 0.0837993i | ||||
\(521\) | −21.7920 | − | 37.7449i | −0.954725 | − | 1.65363i | −0.734997 | − | 0.678071i | \(-0.762816\pi\) |
−0.219728 | − | 0.975561i | \(-0.570517\pi\) | |||||||
\(522\) | 13.7228 | − | 3.15311i | 0.600633 | − | 0.138008i | ||||
\(523\) | 10.3687 | − | 5.98635i | 0.453390 | − | 0.261765i | −0.255871 | − | 0.966711i | \(-0.582362\pi\) |
0.709261 | + | 0.704946i | \(0.249029\pi\) | |||||||
\(524\) | 9.16140 | + | 15.8680i | 0.400217 | + | 0.693197i | ||||
\(525\) | 20.5682 | + | 2.09528i | 0.897669 | + | 0.0914454i | ||||
\(526\) | 6.67295 | + | 11.5579i | 0.290955 | + | 0.503948i | ||||
\(527\) | 10.6286i | 0.462991i | ||||||||
\(528\) | 2.06008 | − | 1.52272i | 0.0896536 | − | 0.0662679i | ||||
\(529\) | 20.7715 | − | 35.9774i | 0.903111 | − | 1.56423i | ||||
\(530\) | 2.81467 | + | 4.87515i | 0.122261 | + | 0.211763i | ||||
\(531\) | 12.1389 | − | 39.5572i | 0.526785 | − | 1.71663i | ||||
\(532\) | −19.3674 | + | 6.18585i | −0.839684 | + | 0.268191i | ||||
\(533\) | −8.95787 | − | 7.69973i | −0.388008 | − | 0.333512i | ||||
\(534\) | −9.59471 | − | 4.17785i | −0.415204 | − | 0.180793i | ||||
\(535\) | 7.46451i | 0.322719i | ||||||||
\(536\) | 3.95565i | 0.170858i | ||||||||
\(537\) | 0.191322 | + | 1.68703i | 0.00825616 | + | 0.0728007i | ||||
\(538\) | − | 18.8456i | − | 0.812491i | ||||||
\(539\) | −10.3068 | + | 0.979081i | −0.443947 | + | 0.0421720i | ||||
\(540\) | −2.75769 | − | 2.36275i | −0.118672 | − | 0.101677i | ||||
\(541\) | 3.75077 | − | 6.49652i | 0.161258 | − | 0.279307i | −0.774062 | − | 0.633110i | \(-0.781778\pi\) |
0.935320 | + | 0.353802i | \(0.115111\pi\) | |||||||
\(542\) | −4.80370 | + | 8.32026i | −0.206337 | + | 0.357386i | ||||
\(543\) | −1.48996 | − | 13.1381i | −0.0639405 | − | 0.563811i | ||||
\(544\) | 1.36691 | − | 0.789186i | 0.0586058 | − | 0.0338361i | ||||
\(545\) | 6.41263 | 0.274687 | ||||||||
\(546\) | 15.8425 | + | 4.69196i | 0.677997 | + | 0.200797i | ||||
\(547\) | 0.731374 | 0.0312713 | 0.0156357 | − | 0.999878i | \(-0.495023\pi\) | ||||
0.0156357 | + | 0.999878i | \(0.495023\pi\) | |||||||
\(548\) | 17.2602 | − | 9.96519i | 0.737320 | − | 0.425692i | ||||
\(549\) | −2.48221 | − | 10.8030i | −0.105938 | − | 0.461060i | ||||
\(550\) | 3.33639 | − | 5.77879i | 0.142264 | − | 0.246409i | ||||
\(551\) | −18.0335 | + | 31.2350i | −0.768254 | + | 1.33066i | ||||
\(552\) | −8.27117 | − | 11.1900i | −0.352044 | − | 0.476280i | ||||
\(553\) | −4.25382 | − | 13.3184i | −0.180891 | − | 0.566355i | ||||
\(554\) | 5.85244i | 0.248646i | ||||||||
\(555\) | −2.19937 | + | 0.249425i | −0.0933579 | + | 0.0105875i | ||||
\(556\) | − | 12.5583i | − | 0.532591i | ||||||
\(557\) | − | 7.05913i | − | 0.299105i | −0.988754 | − | 0.149552i | \(-0.952217\pi\) | ||
0.988754 | − | 0.149552i | \(-0.0477833\pi\) | |||||||
\(558\) | 5.92656 | − | 19.3129i | 0.250891 | − | 0.817580i | ||||
\(559\) | 9.22148 | − | 3.23281i | 0.390027 | − | 0.136733i | ||||
\(560\) | −1.24411 | + | 1.36790i | −0.0525734 | + | 0.0578042i | ||||
\(561\) | −3.70721 | − | 1.61424i | −0.156519 | − | 0.0681532i | ||||
\(562\) | 2.80997 | + | 4.86700i | 0.118531 | + | 0.205302i | ||||
\(563\) | 14.3073 | − | 24.7810i | 0.602981 | − | 1.04439i | −0.389386 | − | 0.921075i | \(-0.627313\pi\) |
0.992367 | − | 0.123319i | \(-0.0393540\pi\) | |||||||
\(564\) | −7.49804 | − | 10.1441i | −0.315725 | − | 0.427143i | ||||
\(565\) | 7.07531i | 0.297661i | ||||||||
\(566\) | −7.85422 | − | 13.6039i | −0.330138 | − | 0.571815i | ||||
\(567\) | −6.72553 | + | 22.8422i | −0.282446 | + | 0.959283i | ||||
\(568\) | 6.73317 | + | 11.6622i | 0.282518 | + | 0.489335i | ||||
\(569\) | −9.19011 | + | 5.30591i | −0.385269 | + | 0.222435i | −0.680108 | − | 0.733112i | \(-0.738067\pi\) |
0.294839 | + | 0.955547i | \(0.404734\pi\) | |||||||
\(570\) | 9.24272 | − | 1.04820i | 0.387135 | − | 0.0439041i | ||||
\(571\) | −5.54867 | − | 9.61058i | −0.232205 | − | 0.402190i | 0.726252 | − | 0.687429i | \(-0.241261\pi\) |
−0.958457 | + | 0.285238i | \(0.907927\pi\) | |||||||
\(572\) | 3.47610 | − | 4.04410i | 0.145343 | − | 0.169092i | ||||
\(573\) | −4.34256 | − | 38.2916i | −0.181413 | − | 1.59965i | ||||
\(574\) | −6.41234 | − | 5.83207i | −0.267646 | − | 0.243426i | ||||
\(575\) | −31.3895 | − | 18.1227i | −1.30903 | − | 0.755769i | ||||
\(576\) | −2.92381 | + | 0.671806i | −0.121826 | + | 0.0279919i | ||||
\(577\) | −6.35102 | + | 3.66676i | −0.264396 | + | 0.152649i | −0.626338 | − | 0.779551i | \(-0.715447\pi\) |
0.361942 | + | 0.932201i | \(0.382114\pi\) | |||||||
\(578\) | 12.5649 | + | 7.25437i | 0.522633 | + | 0.301742i | ||||
\(579\) | 13.7044 | − | 1.55419i | 0.569536 | − | 0.0645898i | ||||
\(580\) | 3.28015i | 0.136201i | ||||||||
\(581\) | −1.17483 | + | 1.29172i | −0.0487401 | + | 0.0535895i | ||||
\(582\) | −8.65269 | + | 19.8715i | −0.358666 | + | 0.823700i | ||||
\(583\) | −5.95672 | − | 10.3173i | −0.246702 | − | 0.427301i | ||||
\(584\) | 7.35079 | + | 12.7319i | 0.304178 | + | 0.526852i | ||||
\(585\) | −6.69063 | − | 3.51868i | −0.276623 | − | 0.145479i | ||||
\(586\) | 3.34776 | + | 1.93283i | 0.138295 | + | 0.0798444i | ||||
\(587\) | 14.0104 | − | 24.2667i | 0.578271 | − | 1.00159i | −0.417407 | − | 0.908720i | \(-0.637061\pi\) |
0.995678 | − | 0.0928746i | \(-0.0296056\pi\) | |||||||
\(588\) | 11.5242 | + | 3.76744i | 0.475249 | + | 0.155367i | ||||
\(589\) | 25.8735 | + | 44.8141i | 1.06610 | + | 1.84653i | ||||
\(590\) | 8.34786 | + | 4.81964i | 0.343676 | + | 0.198421i | ||||
\(591\) | −14.2237 | − | 6.19347i | −0.585086 | − | 0.254765i | ||||
\(592\) | −0.914289 | + | 1.58359i | −0.0375770 | + | 0.0650853i | ||||
\(593\) | −20.0207 | + | 34.6769i | −0.822152 | + | 1.42401i | 0.0819254 | + | 0.996638i | \(0.473893\pi\) |
−0.904077 | + | 0.427370i | \(0.859440\pi\) | |||||||
\(594\) | 5.83613 | + | 5.00033i | 0.239459 | + | 0.205166i | ||||
\(595\) | 2.85163 | + | 0.621067i | 0.116905 | + | 0.0254613i | ||||
\(596\) | 5.84670 | + | 3.37559i | 0.239490 | + | 0.138270i | ||||
\(597\) | −34.6371 | − | 15.0821i | −1.41760 | − | 0.617271i | ||||
\(598\) | −21.9669 | − | 18.8816i | −0.898293 | − | 0.772127i | ||||
\(599\) | 36.5373 | − | 21.0948i | 1.49287 | − | 0.861911i | 0.492908 | − | 0.870082i | \(-0.335934\pi\) |
0.999967 | + | 0.00817029i | \(0.00260071\pi\) | |||||||
\(600\) | −6.28398 | + | 4.64484i | −0.256543 | + | 0.189625i | ||||
\(601\) | 12.5623 | + | 7.25284i | 0.512426 | + | 0.295850i | 0.733831 | − | 0.679333i | \(-0.237731\pi\) |
−0.221404 | + | 0.975182i | \(0.571064\pi\) | |||||||
\(602\) | 6.83055 | − | 2.18164i | 0.278392 | − | 0.0889171i | ||||
\(603\) | −11.5656 | + | 2.65743i | −0.470987 | + | 0.108219i | ||||
\(604\) | 7.62285 | 0.310169 | ||||||||
\(605\) | −3.07940 | + | 5.33367i | −0.125195 | + | 0.216845i | ||||
\(606\) | 1.55342 | − | 1.14822i | 0.0631033 | − | 0.0466431i | ||||
\(607\) | − | 0.360914i | − | 0.0146490i | −0.999973 | − | 0.00732452i | \(-0.997669\pi\) | ||
0.999973 | − | 0.00732452i | \(-0.00233149\pi\) | |||||||
\(608\) | 3.84225 | − | 6.65498i | 0.155824 | − | 0.269895i | ||||
\(609\) | 19.6206 | − | 8.81101i | 0.795068 | − | 0.357040i | ||||
\(610\) | 2.58222 | 0.104551 | ||||||||
\(611\) | −19.9136 | − | 17.1167i | −0.805618 | − | 0.692468i | ||||
\(612\) | 3.22573 | + | 3.46641i | 0.130392 | + | 0.140121i | ||||
\(613\) | 11.8236 | 0.477552 | 0.238776 | − | 0.971075i | \(-0.423254\pi\) | ||||
0.238776 | + | 0.971075i | \(0.423254\pi\) | |||||||
\(614\) | 11.7331 | + | 20.3224i | 0.473511 | + | 0.820144i | ||||
\(615\) | 2.35723 | + | 3.18908i | 0.0950526 | + | 0.128596i | ||||
\(616\) | 2.63294 | − | 2.89490i | 0.106084 | − | 0.116639i | ||||
\(617\) | 9.75168 | − | 5.63013i | 0.392588 | − | 0.226661i | −0.290693 | − | 0.956816i | \(-0.593886\pi\) |
0.683281 | + | 0.730156i | \(0.260553\pi\) | |||||||
\(618\) | 26.1608 | − | 2.96683i | 1.05234 | − | 0.119344i | ||||
\(619\) | 13.8755 | − | 8.01105i | 0.557705 | − | 0.321991i | −0.194519 | − | 0.980899i | \(-0.562315\pi\) |
0.752224 | + | 0.658908i | \(0.228981\pi\) | |||||||
\(620\) | 4.07566 | + | 2.35308i | 0.163682 | + | 0.0945020i | ||||
\(621\) | 27.1610 | − | 31.7009i | 1.08993 | − | 1.27211i | ||||
\(622\) | −14.6547 | − | 8.46088i | −0.587599 | − | 0.339250i | ||||
\(623\) | −15.6192 | − | 3.40175i | −0.625768 | − | 0.136288i | ||||
\(624\) | −5.62299 | + | 2.71698i | −0.225100 | + | 0.108766i | ||||
\(625\) | −8.95610 | + | 15.5124i | −0.358244 | + | 0.620497i | ||||
\(626\) | 17.1572 | 0.685738 | ||||||||
\(627\) | −19.5605 | + | 2.21831i | −0.781171 | + | 0.0885908i | ||||
\(628\) | − | 5.96598i | − | 0.238069i | ||||||
\(629\) | 2.88617 | 0.115079 | ||||||||
\(630\) | −4.83528 | − | 2.71860i | −0.192642 | − | 0.108311i | ||||
\(631\) | 12.2109 | + | 21.1499i | 0.486107 | + | 0.841963i | 0.999872 | − | 0.0159683i | \(-0.00508308\pi\) |
−0.513765 | + | 0.857931i | \(0.671750\pi\) | |||||||
\(632\) | 4.57643 | + | 2.64220i | 0.182040 | + | 0.105101i | ||||
\(633\) | −8.51572 | + | 19.5569i | −0.338469 | + | 0.777318i | ||||
\(634\) | 24.6955 | 0.980784 | ||||||||
\(635\) | 4.66469 | + | 8.07947i | 0.185112 | + | 0.320624i | ||||
\(636\) | 1.57213 | + | 13.8626i | 0.0623388 | + | 0.549688i | ||||
\(637\) | 25.1328 | + | 2.31125i | 0.995798 | + | 0.0915751i | ||||
\(638\) | − | 6.94181i | − | 0.274829i | ||||||
\(639\) | −29.5747 | + | 27.5213i | −1.16996 | + | 1.08872i | ||||
\(640\) | − | 0.698873i | − | 0.0276254i | ||||||
\(641\) | −14.5095 | − | 8.37708i | −0.573092 | − | 0.330875i | 0.185291 | − | 0.982684i | \(-0.440677\pi\) |
−0.758383 | + | 0.651809i | \(0.774010\pi\) | |||||||
\(642\) | −7.38556 | + | 16.9614i | −0.291485 | + | 0.669415i | ||||
\(643\) | −10.0110 | + | 5.77985i | −0.394795 | + | 0.227935i | −0.684236 | − | 0.729261i | \(-0.739864\pi\) |
0.289441 | + | 0.957196i | \(0.406531\pi\) | |||||||
\(644\) | −15.7246 | − | 14.3017i | −0.619637 | − | 0.563565i | ||||
\(645\) | −3.25975 | + | 0.369680i | −0.128352 | + | 0.0145562i | ||||
\(646\) | −12.1290 | −0.477209 | ||||||||
\(647\) | 29.9969 | 1.17930 | 0.589649 | − | 0.807659i | \(-0.299266\pi\) | ||||
0.589649 | + | 0.807659i | \(0.299266\pi\) | |||||||
\(648\) | −3.92847 | − | 8.09735i | −0.154325 | − | 0.318094i | ||||
\(649\) | −17.6667 | − | 10.1999i | −0.693478 | − | 0.400380i | ||||
\(650\) | −10.6033 | + | 12.3359i | −0.415897 | + | 0.483855i | ||||
\(651\) | 3.12739 | − | 30.6999i | 0.122572 | − | 1.20322i | ||||
\(652\) | 3.78994 | − | 6.56437i | 0.148426 | − | 0.257081i | ||||
\(653\) | 22.1413 | − | 12.7833i | 0.866457 | − | 0.500249i | 0.000287486 | − | 1.00000i | \(-0.499908\pi\) |
0.866169 | + | 0.499751i | \(0.166575\pi\) | |||||||
\(654\) | 14.5713 | + | 6.34481i | 0.569782 | + | 0.248102i | ||||
\(655\) | −6.40266 | − | 11.0897i | −0.250172 | − | 0.433311i | ||||
\(656\) | 3.27613 | 0.127911 | ||||||||
\(657\) | −32.2875 | + | 30.0457i | −1.25966 | + | 1.17220i | ||||
\(658\) | −14.2548 | − | 12.9649i | −0.555710 | − | 0.505423i | ||||
\(659\) | 6.23900 | − | 3.60209i | 0.243037 | − | 0.140317i | −0.373535 | − | 0.927616i | \(-0.621854\pi\) |
0.616572 | + | 0.787299i | \(0.288521\pi\) | |||||||
\(660\) | −1.43974 | + | 1.06419i | −0.0560417 | + | 0.0414235i | ||||
\(661\) | 18.0796i | 0.703215i | 0.936148 | + | 0.351607i | \(0.114365\pi\) | ||||
−0.936148 | + | 0.351607i | \(0.885635\pi\) | |||||||
\(662\) | 27.7416 | − | 16.0166i | 1.07821 | − | 0.622504i | ||||
\(663\) | 8.15145 | + | 5.54191i | 0.316576 | + | 0.215230i | ||||
\(664\) | − | 0.659952i | − | 0.0256111i | ||||||
\(665\) | 13.5354 | − | 4.32313i | 0.524879 | − | 0.167644i | ||||
\(666\) | −5.24436 | − | 1.60934i | −0.203215 | − | 0.0623607i | ||||
\(667\) | −37.7068 | −1.46001 | ||||||||
\(668\) | 0.895737 | + | 1.55146i | 0.0346571 | + | 0.0600279i | ||||
\(669\) | −18.4315 | − | 8.02569i | −0.712604 | − | 0.310291i | ||||
\(670\) | − | 2.76450i | − | 0.106802i | ||||||
\(671\) | −5.46478 | −0.210965 | ||||||||
\(672\) | −4.18040 | + | 1.87729i | −0.161263 | + | 0.0724180i | ||||
\(673\) | −16.0613 | + | 27.8191i | −0.619119 | + | 1.07235i | 0.370528 | + | 0.928821i | \(0.379177\pi\) |
−0.989647 | + | 0.143524i | \(0.954157\pi\) | |||||||
\(674\) | −19.5236 | + | 11.2720i | −0.752023 | + | 0.434181i | ||||
\(675\) | −17.8022 | − | 15.2528i | −0.685209 | − | 0.587079i | ||||
\(676\) | −10.1543 | + | 8.11729i | −0.390550 | + | 0.312203i | ||||
\(677\) | −9.18179 | + | 15.9033i | −0.352885 | + | 0.611214i | −0.986754 | − | 0.162226i | \(-0.948133\pi\) |
0.633869 | + | 0.773441i | \(0.281466\pi\) | |||||||
\(678\) | −7.00048 | + | 16.0771i | −0.268852 | + | 0.617436i | ||||
\(679\) | −7.04533 | + | 32.3487i | −0.270375 | + | 1.24143i | ||||
\(680\) | −0.955297 | + | 0.551541i | −0.0366339 | + | 0.0211506i | ||||
\(681\) | 0.822317 | − | 1.88851i | 0.0315113 | − | 0.0723678i | ||||
\(682\) | −8.62536 | − | 4.97985i | −0.330282 | − | 0.190689i | ||||
\(683\) | 18.4956 | + | 10.6785i | 0.707715 | + | 0.408600i | 0.810214 | − | 0.586134i | \(-0.199351\pi\) |
−0.102499 | + | 0.994733i | \(0.532684\pi\) | |||||||
\(684\) | 22.0391 | + | 6.76317i | 0.842688 | + | 0.258596i | ||||
\(685\) | −12.0627 | + | 6.96440i | −0.460892 | + | 0.266096i | ||||
\(686\) | 18.3877 | + | 2.21224i | 0.702044 | + | 0.0844637i | ||||
\(687\) | −10.5882 | − | 4.61045i | −0.403966 | − | 0.175900i | ||||
\(688\) | −1.35510 | + | 2.34709i | −0.0516625 | + | 0.0894821i | ||||
\(689\) | 9.60814 | + | 27.4069i | 0.366041 | + | 1.04412i | ||||
\(690\) | 5.78050 | + | 7.82042i | 0.220060 | + | 0.297718i | ||||
\(691\) | −3.04686 | + | 1.75911i | −0.115908 | + | 0.0669196i | −0.556833 | − | 0.830624i | \(-0.687984\pi\) |
0.440925 | + | 0.897544i | \(0.354650\pi\) | |||||||
\(692\) | −8.07176 | + | 13.9807i | −0.306842 | + | 0.531467i | ||||
\(693\) | 10.2330 | + | 5.75340i | 0.388718 | + | 0.218554i | ||||
\(694\) | −15.8455 | −0.601487 | ||||||||
\(695\) | 8.77668i | 0.332918i | ||||||||
\(696\) | −3.24545 | + | 7.45340i | −0.123019 | + | 0.282521i | ||||
\(697\) | −2.58547 | − | 4.47817i | −0.0979318 | − | 0.169623i | ||||
\(698\) | −22.3012 | −0.844113 | ||||||||
\(699\) | −11.4508 | − | 4.98606i | −0.433110 | − | 0.188590i | ||||
\(700\) | −8.03138 | + | 8.83047i | −0.303558 | + | 0.333760i | ||||
\(701\) | 21.8719i | 0.826089i | 0.910711 | + | 0.413044i | \(0.135535\pi\) | ||||
−0.910711 | + | 0.413044i | \(0.864465\pi\) | |||||||
\(702\) | −11.7215 | − | 14.6153i | −0.442400 | − | 0.551618i | ||||
\(703\) | 12.1691 | − | 7.02586i | 0.458968 | − | 0.264985i | ||||
\(704\) | 1.47903i | 0.0557432i | ||||||||
\(705\) | 5.24018 | + | 7.08943i | 0.197357 | + | 0.267003i | ||||
\(706\) | 7.88910 | − | 4.55477i | 0.296910 | − | 0.171421i | ||||
\(707\) | 1.98538 | − | 2.18291i | 0.0746678 | − | 0.0820969i | ||||
\(708\) | 14.2000 | + | 19.2111i | 0.533669 | + | 0.721999i | ||||
\(709\) | −11.3165 | −0.425002 | −0.212501 | − | 0.977161i | \(-0.568161\pi\) | ||||
−0.212501 | + | 0.977161i | \(0.568161\pi\) | |||||||
\(710\) | −4.70564 | − | 8.15040i | −0.176599 | − | 0.305879i | ||||
\(711\) | −4.65083 | + | 15.1557i | −0.174420 | + | 0.568382i | ||||
\(712\) | 5.23242 | − | 3.02094i | 0.196093 | − | 0.113214i | ||||
\(713\) | −27.0498 | + | 46.8516i | −1.01302 | + | 1.75460i | ||||
\(714\) | 5.86520 | + | 4.23271i | 0.219500 | + | 0.158405i | ||||
\(715\) | −2.42935 | + | 2.82631i | −0.0908527 | + | 0.105698i | ||||
\(716\) | −0.848922 | − | 0.490125i | −0.0317257 | − | 0.0183168i | ||||
\(717\) | −1.28724 | − | 11.3506i | −0.0480729 | − | 0.423894i | ||||
\(718\) | −3.06670 | −0.114448 | ||||||||
\(719\) | 13.9466 | 0.520119 | 0.260060 | − | 0.965593i | \(-0.416258\pi\) | ||||
0.260060 | + | 0.965593i | \(0.416258\pi\) | |||||||
\(720\) | 2.04337 | − | 0.469507i | 0.0761521 | − | 0.0174975i | ||||
\(721\) | 38.3107 | − | 12.2363i | 1.42677 | − | 0.455702i | ||||
\(722\) | −34.6857 | + | 20.0258i | −1.29087 | + | 0.745283i | ||||
\(723\) | 7.01290 | + | 3.05364i | 0.260813 | + | 0.113566i | ||||
\(724\) | 6.61117 | + | 3.81696i | 0.245702 | + | 0.141856i | ||||
\(725\) | 21.1750i | 0.786419i | ||||||||
\(726\) | −12.2745 | + | 9.07276i | −0.455549 | + | 0.336722i | ||||
\(727\) | − | 5.92782i | − | 0.219850i | −0.993940 | − | 0.109925i | \(-0.964939\pi\) | ||
0.993940 | − | 0.109925i | \(-0.0350611\pi\) | |||||||
\(728\) | −7.61523 | + | 5.74528i | −0.282239 | + | 0.212934i | ||||
\(729\) | 21.0360 | − | 16.9260i | 0.779110 | − | 0.626887i | ||||
\(730\) | −5.13727 | − | 8.89801i | −0.190139 | − | 0.329330i | ||||
\(731\) | 4.27769 | 0.158216 | ||||||||
\(732\) | 5.86751 | + | 2.55490i | 0.216870 | + | 0.0944320i | ||||
\(733\) | −24.5262 | − | 14.1602i | −0.905896 | − | 0.523019i | −0.0267874 | − | 0.999641i | \(-0.508528\pi\) |
−0.879108 | + | 0.476622i | \(0.841861\pi\) | |||||||
\(734\) | −1.32070 | − | 2.28752i | −0.0487479 | − | 0.0844338i | ||||
\(735\) | −8.05393 | − | 2.63296i | −0.297074 | − | 0.0971183i | ||||
\(736\) | 8.03387 | 0.296132 | ||||||||
\(737\) | 5.85055i | 0.215508i | ||||||||
\(738\) | 2.20092 | + | 9.57878i | 0.0810171 | + | 0.352600i | ||||
\(739\) | 47.0720 | 1.73157 | 0.865785 | − | 0.500416i | \(-0.166820\pi\) | ||||
0.865785 | + | 0.500416i | \(0.166820\pi\) | |||||||
\(740\) | 0.638972 | − | 1.10673i | 0.0234891 | − | 0.0406843i | ||||
\(741\) | 47.8602 | + | 3.52347i | 1.75819 | + | 0.129438i | ||||
\(742\) | 6.48400 | + | 20.3009i | 0.238035 | + | 0.745269i | ||||
\(743\) | −17.7056 | − | 10.2223i | −0.649554 | − | 0.375020i | 0.138732 | − | 0.990330i | \(-0.455697\pi\) |
−0.788285 | + | 0.615310i | \(0.789031\pi\) | |||||||
\(744\) | 6.93283 | + | 9.37940i | 0.254170 | + | 0.343866i | ||||
\(745\) | −4.08610 | − | 2.35911i | −0.149703 | − | 0.0864311i | ||||
\(746\) | −4.66207 | + | 2.69165i | −0.170691 | + | 0.0985483i | ||||
\(747\) | 1.92958 | − | 0.443360i | 0.0705995 | − | 0.0162217i | ||||
\(748\) | 2.02171 | − | 1.16723i | 0.0739209 | − | 0.0426782i | ||||
\(749\) | −6.01359 | + | 27.6114i | −0.219732 | + | 1.00890i | ||||
\(750\) | 9.25886 | − | 6.84373i | 0.338086 | − | 0.249898i | ||||
\(751\) | −21.7069 | − | 37.5975i | −0.792097 | − | 1.37195i | −0.924666 | − | 0.380779i | \(-0.875656\pi\) |
0.132569 | − | 0.991174i | \(-0.457677\pi\) | |||||||
\(752\) | 7.28293 | 0.265581 | ||||||||
\(753\) | 15.7078 | + | 21.2510i | 0.572423 | + | 0.774430i | ||||
\(754\) | −3.13634 | + | 16.6294i | −0.114219 | + | 0.605607i | ||||
\(755\) | −5.32741 | −0.193884 | ||||||||
\(756\) | −8.29726 | − | 10.9615i | −0.301768 | − | 0.398668i | ||||
\(757\) | −6.03356 | + | 10.4504i | −0.219293 | + | 0.379827i | −0.954592 | − | 0.297916i | \(-0.903709\pi\) |
0.735299 | + | 0.677743i | \(0.237042\pi\) | |||||||
\(758\) | − | 13.7784i | − | 0.500454i | ||||||
\(759\) | −12.2333 | − | 16.5505i | −0.444042 | − | 0.600743i | ||||
\(760\) | −2.68525 | + | 4.65098i | −0.0974042 | + | 0.168709i | ||||
\(761\) | −0.990826 | −0.0359174 | −0.0179587 | − | 0.999839i | \(-0.505717\pi\) | ||||
−0.0179587 | + | 0.999839i | \(0.505717\pi\) | |||||||
\(762\) | 2.60545 | + | 22.9742i | 0.0943854 | + | 0.832266i | ||||
\(763\) | 23.7205 | + | 5.16617i | 0.858739 | + | 0.187028i | ||||
\(764\) | 19.2685 | + | 11.1247i | 0.697110 | + | 0.402477i | ||||
\(765\) | −2.25438 | − | 2.42258i | −0.0815071 | − | 0.0875885i | ||||
\(766\) | 24.8621 | − | 14.3541i | 0.898304 | − | 0.518636i | ||||
\(767\) | 37.7129 | + | 32.4161i | 1.36173 | + | 1.17048i | ||||
\(768\) | 0.691481 | − | 1.58803i | 0.0249517 | − | 0.0573033i | ||||
\(769\) | −41.7420 | − | 24.0998i | −1.50526 | − | 0.869060i | −0.999981 | − | 0.00610115i | \(-0.998058\pi\) |
−0.505274 | − | 0.862959i | \(-0.668609\pi\) | |||||||
\(770\) | −1.84009 | + | 2.02317i | −0.0663122 | + | 0.0729099i | ||||
\(771\) | 15.1388 | + | 20.4813i | 0.545212 | + | 0.737615i | ||||
\(772\) | −3.98148 | + | 6.89613i | −0.143297 | + | 0.248197i | ||||
\(773\) | 5.46527 | − | 9.46613i | 0.196572 | − | 0.340473i | −0.750843 | − | 0.660481i | \(-0.770352\pi\) |
0.947415 | + | 0.320008i | \(0.103686\pi\) | |||||||
\(774\) | −7.77282 | − | 2.38525i | −0.279388 | − | 0.0857361i | ||||
\(775\) | 26.3104 | + | 15.1903i | 0.945097 | + | 0.545652i | ||||
\(776\) | −6.25663 | − | 10.8368i | −0.224600 | − | 0.389019i | ||||
\(777\) | −8.33645 | − | 0.849233i | −0.299069 | − | 0.0304660i | ||||
\(778\) | 11.3855 | − | 19.7202i | 0.408189 | − | 0.707004i | ||||
\(779\) | −21.8026 | − | 12.5877i | −0.781158 | − | 0.451002i | ||||
\(780\) | 3.92976 | − | 1.89883i | 0.140708 | − | 0.0679889i | ||||
\(781\) | 9.95859 | + | 17.2488i | 0.356346 | + | 0.617210i | ||||
\(782\) | −6.34022 | − | 10.9816i | −0.226726 | − | 0.392700i | ||||
\(783\) | −23.9727 | − | 4.48185i | −0.856713 | − | 0.160168i | ||||
\(784\) | −5.70402 | + | 4.05760i | −0.203715 | + | 0.144914i | ||||
\(785\) | 4.16946i | 0.148815i | ||||||||
\(786\) | −3.57618 | − | 31.5339i | −0.127558 | − | 1.12478i | ||||
\(787\) | 23.2360 | + | 13.4153i | 0.828274 | + | 0.478204i | 0.853261 | − | 0.521484i | \(-0.174621\pi\) |
−0.0249873 | + | 0.999688i | \(0.507955\pi\) | |||||||
\(788\) | 7.75682 | − | 4.47840i | 0.276325 | − | 0.159537i | ||||
\(789\) | −2.60481 | − | 22.9686i | −0.0927338 | − | 0.817702i | ||||
\(790\) | −3.19834 | − | 1.84656i | −0.113792 | − | 0.0656978i | ||||
\(791\) | −5.70004 | + | 26.1717i | −0.202670 | + | 0.930560i | ||||
\(792\) | −4.32442 | + | 0.993624i | −0.153661 | + | 0.0353069i | ||||
\(793\) | 13.0911 | + | 2.46901i | 0.464878 | + | 0.0876772i | ||||
\(794\) | −5.35066 | − | 9.26762i | −0.189888 | − | 0.328895i | ||||
\(795\) | −1.09872 | − | 9.68820i | −0.0389675 | − | 0.343605i | ||||
\(796\) | 18.8892 | − | 10.9057i | 0.669509 | − | 0.386541i | ||||
\(797\) | −20.5234 | − | 35.5476i | −0.726977 | − | 1.25916i | −0.958155 | − | 0.286250i | \(-0.907591\pi\) |
0.231178 | − | 0.972912i | \(-0.425742\pi\) | |||||||
\(798\) | 35.0335 | + | 3.56886i | 1.24017 | + | 0.126336i | ||||
\(799\) | −5.74758 | − | 9.95510i | −0.203335 | − | 0.352186i | ||||
\(800\) | − | 4.51158i | − | 0.159508i | ||||||
\(801\) | 12.3478 | + | 13.2691i | 0.436289 | + | 0.468842i | ||||
\(802\) | −6.20069 | + | 10.7399i | −0.218954 | + | 0.379239i | ||||
\(803\) | 10.8721 | + | 18.8310i | 0.383667 | + | 0.664531i | ||||
\(804\) | 2.73526 | − | 6.28172i | 0.0964652 | − | 0.221539i | ||||
\(805\) | 10.9895 | + | 9.99506i | 0.387330 | + | 0.352280i | ||||
\(806\) | 18.4125 | + | 15.8264i | 0.648552 | + | 0.557462i | ||||
\(807\) | −13.0314 | + | 29.9275i | −0.458726 | + | 1.05350i | ||||
\(808\) | 1.11527i | 0.0392352i | ||||||||
\(809\) | − | 39.4944i | − | 1.38855i | −0.719710 | − | 0.694275i | \(-0.755725\pi\) | ||
0.719710 | − | 0.694275i | \(-0.244275\pi\) | |||||||
\(810\) | 2.74550 | + | 5.65902i | 0.0964671 | + | 0.198838i | ||||
\(811\) | 51.6567i | 1.81391i | 0.421226 | + | 0.906956i | \(0.361600\pi\) | ||||
−0.421226 | + | 0.906956i | \(0.638400\pi\) | |||||||
\(812\) | −2.64256 | + | 12.1333i | −0.0927358 | + | 0.425797i | ||||
\(813\) | 13.3817 | − | 9.89118i | 0.469318 | − | 0.346899i | ||||
\(814\) | −1.35226 | + | 2.34219i | −0.0473968 | + | 0.0820937i | ||||
\(815\) | −2.64869 | + | 4.58766i | −0.0927795 | + | 0.160699i | ||||
\(816\) | −2.71641 | + | 0.308061i | −0.0950933 | + | 0.0107843i | ||||
\(817\) | 18.0363 | − | 10.4132i | 0.631009 | − | 0.364313i | ||||
\(818\) | 11.8142 | 0.413073 | ||||||||
\(819\) | −21.9141 | − | 18.4058i | −0.765740 | − | 0.643151i | ||||
\(820\) | −2.28960 | −0.0799562 | ||||||||
\(821\) | −41.1557 | + | 23.7613i | −1.43634 | + | 0.829273i | −0.997593 | − | 0.0693355i | \(-0.977912\pi\) |
−0.438750 | + | 0.898609i | \(0.644579\pi\) | |||||||
\(822\) | −34.3006 | + | 3.88995i | −1.19637 | + | 0.135677i | ||||
\(823\) | −19.8401 | + | 34.3641i | −0.691583 | + | 1.19786i | 0.279736 | + | 0.960077i | \(0.409753\pi\) |
−0.971319 | + | 0.237780i | \(0.923580\pi\) | |||||||
\(824\) | −7.60037 | + | 13.1642i | −0.264772 | + | 0.458598i | ||||
\(825\) | −9.29423 | + | 6.86987i | −0.323583 | + | 0.239178i | ||||
\(826\) | 26.9961 | + | 24.5532i | 0.939316 | + | 0.854315i | ||||
\(827\) | − | 1.16764i | − | 0.0406030i | −0.999794 | − | 0.0203015i | \(-0.993537\pi\) | ||
0.999794 | − | 0.0203015i | \(-0.00646261\pi\) | |||||||
\(828\) | 5.39720 | + | 23.4895i | 0.187566 | + | 0.816318i | ||||
\(829\) | − | 1.68864i | − | 0.0586491i | −0.999570 | − | 0.0293245i | \(-0.990664\pi\) | ||
0.999570 | − | 0.0293245i | \(-0.00933563\pi\) | |||||||
\(830\) | 0.461223i | 0.0160093i | ||||||||
\(831\) | 4.04685 | − | 9.29388i | 0.140384 | − | 0.322401i | ||||
\(832\) | 0.668235 | − | 3.54309i | 0.0231669 | − | 0.122834i | ||||
\(833\) | 10.0479 | + | 4.59468i | 0.348139 | + | 0.159196i | ||||
\(834\) | −8.68385 | + | 19.9430i | −0.300697 | + | 0.690571i | ||||
\(835\) | −0.626007 | − | 1.08428i | −0.0216639 | − | 0.0375229i | ||||
\(836\) | 5.68282 | − | 9.84294i | 0.196545 | − | 0.340425i | ||||
\(837\) | −22.7661 | + | 26.5714i | −0.786911 | + | 0.918443i | ||||
\(838\) | − | 15.5384i | − | 0.536767i | ||||||
\(839\) | 9.54818 | + | 16.5379i | 0.329640 | + | 0.570953i | 0.982440 | − | 0.186577i | \(-0.0597394\pi\) |
−0.652801 | + | 0.757530i | \(0.726406\pi\) | |||||||
\(840\) | 2.92157 | − | 1.31199i | 0.100804 | − | 0.0452679i | ||||
\(841\) | −3.48563 | − | 6.03729i | −0.120194 | − | 0.208183i | ||||
\(842\) | −22.6624 | + | 13.0842i | −0.780999 | + | 0.450910i | ||||
\(843\) | −1.09688 | − | 9.67201i | −0.0377786 | − | 0.333122i | ||||
\(844\) | −6.15759 | − | 10.6653i | −0.211953 | − | 0.367113i | ||||
\(845\) | 7.09656 | − | 5.67296i | 0.244129 | − | 0.195156i | ||||
\(846\) | 4.89271 | + | 21.2939i | 0.168215 | + | 0.732100i | ||||
\(847\) | −15.6877 | + | 17.2485i | −0.539036 | + | 0.592667i | ||||
\(848\) | −6.97573 | − | 4.02744i | −0.239548 | − | 0.138303i | ||||
\(849\) | 3.06592 | + | 27.0345i | 0.105222 | + | 0.927823i | ||||
\(850\) | −6.16692 | + | 3.56047i | −0.211523 | + | 0.122123i | ||||
\(851\) | 12.7224 | + | 7.34528i | 0.436118 | + | 0.251793i | ||||
\(852\) | −2.62832 | − | 23.1758i | −0.0900447 | − | 0.793991i | ||||
\(853\) | 24.3423i | 0.833465i | 0.909029 | + | 0.416733i | \(0.136825\pi\) | ||||
−0.909029 | + | 0.416733i | \(0.863175\pi\) | |||||||
\(854\) | 9.55168 | + | 2.08030i | 0.326852 | + | 0.0711862i | ||||
\(855\) | −15.4026 | − | 4.72660i | −0.526757 | − | 0.161646i | ||||
\(856\) | −5.34039 | − | 9.24982i | −0.182531 | − | 0.316152i | ||||
\(857\) | 24.2077 | + | 41.9290i | 0.826920 | + | 1.43227i | 0.900443 | + | 0.434975i | \(0.143243\pi\) |
−0.0735222 | + | 0.997294i | \(0.523424\pi\) | |||||||
\(858\) | −8.31659 | + | 4.01851i | −0.283924 | + | 0.137190i | ||||
\(859\) | −16.3050 | − | 9.41372i | −0.556321 | − | 0.321192i | 0.195347 | − | 0.980734i | \(-0.437417\pi\) |
−0.751667 | + | 0.659542i | \(0.770750\pi\) | |||||||
\(860\) | 0.947040 | − | 1.64032i | 0.0322938 | − | 0.0559345i | ||||
\(861\) | 6.15024 | + | 13.6955i | 0.209600 | + | 0.466743i | ||||
\(862\) | 11.2420 | + | 19.4718i | 0.382905 | + | 0.663212i | ||||
\(863\) | 36.4727 | + | 21.0575i | 1.24154 | + | 0.716806i | 0.969409 | − | 0.245453i | \(-0.0789367\pi\) |
0.272136 | + | 0.962259i | \(0.412270\pi\) | |||||||
\(864\) | 5.10766 | + | 0.954911i | 0.173766 | + | 0.0324867i | ||||
\(865\) | 5.64114 | − | 9.77074i | 0.191804 | − | 0.332215i | ||||
\(866\) | 10.3947 | − | 18.0042i | 0.353227 | − | 0.611807i | ||||
\(867\) | −14.9373 | − | 20.2086i | −0.507297 | − | 0.686321i | ||||
\(868\) | 13.1803 | + | 11.9876i | 0.447367 | + | 0.406884i | ||||
\(869\) | 6.76869 | + | 3.90791i | 0.229612 | + | 0.132567i | ||||
\(870\) | 2.26816 | − | 5.20899i | 0.0768978 | − | 0.176601i | ||||
\(871\) | 2.64331 | − | 14.0152i | 0.0895650 | − | 0.474888i | ||||
\(872\) | −7.94637 | + | 4.58784i | −0.269098 | + | 0.155364i | ||||
\(873\) | 27.4815 | − | 25.5735i | 0.930109 | − | 0.865530i | ||||
\(874\) | −53.4652 | − | 30.8682i | −1.80849 | − | 1.04413i | ||||
\(875\) | 11.8335 | − | 13.0109i | 0.400045 | − | 0.439848i | ||||
\(876\) | −2.86941 | − | 25.3017i | −0.0969483 | − | 0.854865i | ||||
\(877\) | 8.36751 | 0.282551 | 0.141275 | − | 0.989970i | \(-0.454880\pi\) | ||||
0.141275 | + | 0.989970i | \(0.454880\pi\) | |||||||
\(878\) | 5.26300 | − | 9.11578i | 0.177618 | − | 0.307643i | ||||
\(879\) | −3.97984 | − | 5.38431i | −0.134237 | − | 0.181608i | ||||
\(880\) | − | 1.03366i | − | 0.0348446i | ||||||
\(881\) | −0.557391 | + | 0.965430i | −0.0187790 | + | 0.0325262i | −0.875262 | − | 0.483649i | \(-0.839311\pi\) |
0.856483 | + | 0.516175i | \(0.172645\pi\) | |||||||
\(882\) | −15.6957 | − | 13.9516i | −0.528500 | − | 0.469774i | ||||
\(883\) | −1.05349 | −0.0354528 | −0.0177264 | − | 0.999843i | \(-0.505643\pi\) | ||||
−0.0177264 | + | 0.999843i | \(0.505643\pi\) | |||||||
\(884\) | −5.37044 | + | 1.88274i | −0.180627 | + | 0.0633233i | ||||
\(885\) | −9.92400 | − | 13.4261i | −0.333592 | − | 0.451315i | ||||
\(886\) | 26.5042 | 0.890424 | ||||||||
\(887\) | −7.65471 | − | 13.2583i | −0.257020 | − | 0.445172i | 0.708422 | − | 0.705789i | \(-0.249407\pi\) |
−0.965442 | + | 0.260617i | \(0.916074\pi\) | |||||||
\(888\) | 2.54695 | − | 1.88259i | 0.0854700 | − | 0.0631756i | ||||
\(889\) | 10.7458 | + | 33.6442i | 0.360402 | + | 1.12839i | ||||
\(890\) | −3.65680 | + | 2.11125i | −0.122576 | + | 0.0707694i | ||||
\(891\) | −5.81034 | − | 11.9763i | −0.194654 | − | 0.401220i | ||||
\(892\) | 10.0515 | − | 5.80325i | 0.336550 | − | 0.194307i | ||||
\(893\) | −48.4677 | − | 27.9828i | −1.62191 | − | 0.936410i | ||||
\(894\) | −6.95060 | − | 9.40344i | −0.232463 | − | 0.314498i | ||||
\(895\) | 0.593289 | + | 0.342536i | 0.0198315 | + | 0.0114497i | ||||
\(896\) | 0.563029 | − | 2.58515i | 0.0188095 | − | 0.0863638i | ||||
\(897\) | 21.8279 | + | 45.1744i | 0.728813 | + | 1.50833i | ||||
\(898\) | −10.1017 | + | 17.4966i | −0.337097 | + | 0.583870i | ||||
\(899\) | 31.6055 | 1.05410 | ||||||||
\(900\) | 13.1910 | − | 3.03090i | 0.439700 | − | 0.101030i | ||||
\(901\) | 12.7136i | 0.423551i | ||||||||
\(902\) | 4.84551 | 0.161338 | ||||||||
\(903\) | −12.3557 | − | 1.25867i | −0.411172 | − | 0.0418860i | ||||
\(904\) | −5.06194 | − | 8.76754i | −0.168358 | − | 0.291604i | ||||
\(905\) | −4.62037 | − | 2.66757i | −0.153586 | − | 0.0886730i | ||||
\(906\) | −12.1054 | − | 5.27106i | −0.402173 | − | 0.175119i | ||||
\(907\) | −3.67637 | −0.122072 | −0.0610359 | − | 0.998136i | \(-0.519440\pi\) | ||||
−0.0610359 | + | 0.998136i | \(0.519440\pi\) | |||||||
\(908\) | 0.594606 | + | 1.02989i | 0.0197327 | + | 0.0341780i | ||||
\(909\) | −3.26085 | + | 0.749247i | −0.108156 | + | 0.0248510i | ||||
\(910\) | 5.32208 | − | 4.01522i | 0.176425 | − | 0.133103i | ||||
\(911\) | 48.3126i | 1.60067i | 0.599556 | + | 0.800333i | \(0.295344\pi\) | ||||
−0.599556 | + | 0.800333i | \(0.704656\pi\) | |||||||
\(912\) | −10.7034 | + | 7.91149i | −0.354426 | + | 0.261975i | ||||
\(913\) | − | 0.976092i | − | 0.0323039i | ||||||
\(914\) | 11.7120 | + | 6.76192i | 0.387398 | + | 0.223664i | ||||
\(915\) | −4.10065 | − | 1.78555i | −0.135563 | − | 0.0590286i | ||||
\(916\) | 5.77423 | − | 3.33375i | 0.190786 | − | 0.110150i | ||||
\(917\) | −14.7494 | − | 46.1793i | −0.487069 | − | 1.52497i | ||||
\(918\) | −2.72561 | − | 7.73531i | −0.0899586 | − | 0.255303i | ||||
\(919\) | 28.2525 | 0.931963 | 0.465982 | − | 0.884794i | \(-0.345701\pi\) | ||||
0.465982 | + | 0.884794i | \(0.345701\pi\) | |||||||
\(920\) | −5.61466 | −0.185110 | ||||||||
\(921\) | −4.58007 | − | 40.3859i | −0.150918 | − | 1.33076i | ||||
\(922\) | 26.4348 | + | 15.2621i | 0.870583 | + | 0.502632i | ||||
\(923\) | −16.0631 | − | 45.8195i | −0.528724 | − | 1.50817i | ||||
\(924\) | −6.18296 | + | 2.77657i | −0.203404 | + | 0.0913426i | ||||
\(925\) | 4.12488 | − | 7.14451i | 0.135625 | − | 0.234910i | ||||
\(926\) | −16.3986 | + | 9.46775i | −0.538892 | + | 0.311130i | ||||
\(927\) | −43.5957 | − | 13.3783i | −1.43187 | − | 0.439399i | ||||
\(928\) | −2.34674 | − | 4.06467i | −0.0770355 | − | 0.133429i | ||||
\(929\) | 16.2097 | 0.531823 | 0.265911 | − | 0.963997i | \(-0.414327\pi\) | ||||
0.265911 | + | 0.963997i | \(0.414327\pi\) | |||||||
\(930\) | −4.84517 | − | 6.55501i | −0.158879 | − | 0.214947i | ||||
\(931\) | 53.5505 | − | 5.08694i | 1.75505 | − | 0.166718i | ||||
\(932\) | 6.24464 | − | 3.60534i | 0.204550 | − | 0.118097i | ||||
\(933\) | 17.4216 | + | 23.5696i | 0.570357 | + | 0.771634i | ||||
\(934\) | 1.56992i | 0.0513694i | ||||||||
\(935\) | −1.41292 | + | 0.815747i | −0.0462073 | + | 0.0266778i | ||||
\(936\) | 10.8082 | − | 0.426474i | 0.353278 | − | 0.0139397i | ||||
\(937\) | − | 40.9010i | − | 1.33618i | −0.744082 | − | 0.668088i | \(-0.767113\pi\) | ||
0.744082 | − | 0.668088i | \(-0.232887\pi\) | |||||||
\(938\) | 2.22715 | − | 10.2260i | 0.0727190 | − | 0.333889i | ||||
\(939\) | −27.2461 | − | 11.8639i | −0.889144 | − | 0.387162i | ||||
\(940\) | −5.08984 | −0.166012 | ||||||||
\(941\) | 21.0594 | + | 36.4760i | 0.686517 | + | 1.18908i | 0.972957 | + | 0.230984i | \(0.0741946\pi\) |
−0.286441 | + | 0.958098i | \(0.592472\pi\) | |||||||
\(942\) | −4.12536 | + | 9.47418i | −0.134412 | + | 0.308686i | ||||
\(943\) | − | 26.3200i | − | 0.857097i | ||||||
\(944\) | −13.7926 | −0.448911 | ||||||||
\(945\) | 5.79873 | + | 7.66073i | 0.188633 | + | 0.249204i | ||||
\(946\) | −2.00423 | + | 3.47143i | −0.0651632 | + | 0.112866i | ||||
\(947\) | 44.5633 | − | 25.7286i | 1.44811 | − | 0.836068i | 0.449743 | − | 0.893158i | \(-0.351515\pi\) |
0.998369 | + | 0.0570898i | \(0.0181821\pi\) | |||||||
\(948\) | −5.44049 | − | 7.36042i | −0.176699 | − | 0.239055i | ||||
\(949\) | −17.5366 | − | 50.0224i | −0.569261 | − | 1.62380i | ||||
\(950\) | −17.3346 | + | 30.0244i | −0.562409 | + | 0.974121i | ||||
\(951\) | −39.2173 | − | 17.0765i | −1.27171 | − | 0.553743i | ||||
\(952\) | −3.97800 | + | 1.27055i | −0.128928 | + | 0.0411789i | ||||
\(953\) | 9.84866 | − | 5.68613i | 0.319029 | − | 0.184192i | −0.331931 | − | 0.943304i | \(-0.607700\pi\) |
0.650960 | + | 0.759112i | \(0.274367\pi\) | |||||||
\(954\) | 7.08914 | − | 23.1014i | 0.229519 | − | 0.747935i | ||||
\(955\) | −13.4662 | − | 7.77474i | −0.435757 | − | 0.251585i | ||||
\(956\) | 5.71166 | + | 3.29763i | 0.184728 | + | 0.106653i | ||||
\(957\) | −4.80013 | + | 11.0238i | −0.155166 | + | 0.356350i | ||||
\(958\) | −25.7325 | + | 14.8567i | −0.831381 | + | 0.479998i | ||||
\(959\) | −50.2309 | + | 16.0435i | −1.62204 | + | 0.518072i | ||||
\(960\) | −0.483258 | + | 1.10983i | −0.0155971 | + | 0.0358198i | ||||
\(961\) | 7.17290 | − | 12.4238i | 0.231384 | − | 0.400769i | ||||
\(962\) | 4.29762 | − | 4.99985i | 0.138561 | − | 0.161202i | ||||
\(963\) | 23.4570 | − | 21.8284i | 0.755893 | − | 0.703410i | ||||
\(964\) | −3.82445 | + | 2.20804i | −0.123177 | + | 0.0711163i | ||||
\(965\) | 2.78255 | − | 4.81952i | 0.0895735 | − | 0.155146i | ||||
\(966\) | 15.0819 | + | 33.5848i | 0.485252 | + | 1.08057i | ||||
\(967\) | 12.5442 | 0.403396 | 0.201698 | − | 0.979448i | \(-0.435354\pi\) | ||||
0.201698 | + | 0.979448i | \(0.435354\pi\) | |||||||
\(968\) | − | 8.81246i | − | 0.283243i | ||||||
\(969\) | 19.2613 | + | 8.38698i | 0.618761 | + | 0.269429i | ||||
\(970\) | 4.37259 | + | 7.57355i | 0.140396 | + | 0.243172i | ||||
\(971\) | 9.33395 | 0.299541 | 0.149770 | − | 0.988721i | \(-0.452147\pi\) | ||||
0.149770 | + | 0.988721i | \(0.452147\pi\) | |||||||
\(972\) | 0.639374 | + | 15.5753i | 0.0205079 | + | 0.499579i | ||||
\(973\) | −7.07070 | + | 32.4651i | −0.226676 | + | 1.04078i | ||||
\(974\) | 20.7730i | 0.665609i | ||||||||
\(975\) | 25.3685 | − | 12.2579i | 0.812443 | − | 0.392566i | ||||
\(976\) | −3.19981 | + | 1.84741i | −0.102424 | + | 0.0591343i | ||||
\(977\) | 16.1067i | 0.515299i | 0.966238 | + | 0.257650i | \(0.0829480\pi\) | ||||
−0.966238 | + | 0.257650i | \(0.917052\pi\) | |||||||
\(978\) | −10.5577 | + | 7.80377i | −0.337598 | + | 0.249537i | ||||
\(979\) | 7.73893 | − | 4.46807i | 0.247337 | − | 0.142800i | ||||
\(980\) | 3.98639 | − | 2.83575i | 0.127341 | − | 0.0905847i | ||||
\(981\) | −18.7524 | − | 20.1515i | −0.598718 | − | 0.643389i | ||||
\(982\) | 12.8678 | 0.410629 | ||||||||
\(983\) | 11.9633 | + | 20.7211i | 0.381570 | + | 0.660899i | 0.991287 | − | 0.131720i | \(-0.0420501\pi\) |
−0.609717 | + | 0.792619i | \(0.708717\pi\) | |||||||
\(984\) | −5.20260 | − | 2.26538i | −0.165853 | − | 0.0722177i | ||||
\(985\) | −5.42104 | + | 3.12984i | −0.172729 | + | 0.0997249i | ||||
\(986\) | −3.70403 | + | 6.41556i | −0.117960 | + | 0.204313i | ||||
\(987\) | 13.6722 | + | 30.4456i | 0.435190 | + | 0.969093i | ||||
\(988\) | −18.0605 | + | 21.0116i | −0.574582 | + | 0.668469i | ||||
\(989\) | 18.8563 | + | 10.8867i | 0.599594 | + | 0.346176i | ||||
\(990\) | 3.02222 | − | 0.694417i | 0.0960524 | − | 0.0220700i | ||||
\(991\) | 16.9341 | 0.537929 | 0.268965 | − | 0.963150i | \(-0.413319\pi\) | ||||
0.268965 | + | 0.963150i | \(0.413319\pi\) | |||||||
\(992\) | −6.73393 | −0.213802 | ||||||||
\(993\) | −55.1299 | + | 6.25215i | −1.74949 | + | 0.198406i | ||||
\(994\) | −10.8401 | − | 33.9395i | −0.343827 | − | 1.07650i | ||||
\(995\) | −13.2011 | + | 7.62168i | −0.418504 | + | 0.241623i | ||||
\(996\) | −0.456345 | + | 1.04803i | −0.0144598 | + | 0.0332080i | ||||
\(997\) | −8.17448 | − | 4.71954i | −0.258888 | − | 0.149469i | 0.364939 | − | 0.931031i | \(-0.381090\pi\) |
−0.623827 | + | 0.781562i | \(0.714423\pi\) | |||||||
\(998\) | − | 41.2149i | − | 1.30463i | ||||||
\(999\) | 7.21539 | + | 6.18206i | 0.228285 | + | 0.195592i |
(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 | 546.2.u.a.425.20 | yes | 76 | |
3.2 | odd | 2 | inner | 546.2.u.a.425.19 | yes | 76 | |
7.3 | odd | 6 | 546.2.bb.a.269.25 | yes | 76 | ||
13.3 | even | 3 | 546.2.bb.a.341.31 | yes | 76 | ||
21.17 | even | 6 | 546.2.bb.a.269.12 | yes | 76 | ||
39.29 | odd | 6 | 546.2.bb.a.341.6 | yes | 76 | ||
91.3 | odd | 6 | inner | 546.2.u.a.185.19 | ✓ | 76 | |
273.185 | even | 6 | inner | 546.2.u.a.185.20 | yes | 76 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.u.a.185.19 | ✓ | 76 | 91.3 | odd | 6 | inner | |
546.2.u.a.185.20 | yes | 76 | 273.185 | even | 6 | inner | |
546.2.u.a.425.19 | yes | 76 | 3.2 | odd | 2 | inner | |
546.2.u.a.425.20 | yes | 76 | 1.1 | even | 1 | trivial | |
546.2.bb.a.269.12 | yes | 76 | 21.17 | even | 6 | ||
546.2.bb.a.269.25 | yes | 76 | 7.3 | odd | 6 | ||
546.2.bb.a.341.6 | yes | 76 | 39.29 | odd | 6 | ||
546.2.bb.a.341.31 | yes | 76 | 13.3 | even | 3 |