Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [273,2,Mod(19,273)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(273, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 10, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("273.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 273 = 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 273.cg (of order \(12\), degree \(4\), 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: | \(2.17991597518\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(9\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 124.7 | ||
Character | \(\chi\) | \(=\) | 273.124 |
Dual form | 273.2.cg.a.262.7 |
$q$-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 \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(106\) | \(157\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{11}{12}\right)\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.255728 | − | 0.954388i | 0.180827 | − | 0.674855i | −0.814659 | − | 0.579941i | \(-0.803076\pi\) |
0.995485 | − | 0.0949139i | \(-0.0302576\pi\) | |||||||
\(3\) | 1.00000i | 0.577350i | ||||||||
\(4\) | 0.886590 | + | 0.511873i | 0.443295 | + | 0.255936i | ||||
\(5\) | −0.244406 | − | 0.912136i | −0.109302 | − | 0.407920i | 0.889496 | − | 0.456943i | \(-0.151056\pi\) |
−0.998798 | + | 0.0490235i | \(0.984389\pi\) | |||||||
\(6\) | 0.954388 | + | 0.255728i | 0.389627 | + | 0.104400i | ||||
\(7\) | 2.46785 | + | 0.953787i | 0.932760 | + | 0.360497i | ||||
\(8\) | 2.11257 | − | 2.11257i | 0.746907 | − | 0.746907i | ||||
\(9\) | −1.00000 | −0.333333 | ||||||||
\(10\) | −0.933034 | −0.295051 | ||||||||
\(11\) | −4.64956 | + | 4.64956i | −1.40190 | + | 1.40190i | −0.607824 | + | 0.794071i | \(0.707958\pi\) |
−0.794071 | + | 0.607824i | \(0.792042\pi\) | |||||||
\(12\) | −0.511873 | + | 0.886590i | −0.147765 | + | 0.255936i | ||||
\(13\) | 3.43957 | − | 1.08136i | 0.953966 | − | 0.299914i | ||||
\(14\) | 1.54138 | − | 2.11138i | 0.411951 | − | 0.564290i | ||||
\(15\) | 0.912136 | − | 0.244406i | 0.235513 | − | 0.0631054i | ||||
\(16\) | −0.452226 | − | 0.783279i | −0.113057 | − | 0.195820i | ||||
\(17\) | 1.86677 | − | 3.23334i | 0.452758 | − | 0.784200i | −0.545798 | − | 0.837917i | \(-0.683773\pi\) |
0.998556 | + | 0.0537166i | \(0.0171068\pi\) | |||||||
\(18\) | −0.255728 | + | 0.954388i | −0.0602756 | + | 0.224952i | ||||
\(19\) | 0.889632 | − | 0.889632i | 0.204095 | − | 0.204095i | −0.597657 | − | 0.801752i | \(-0.703901\pi\) |
0.801752 | + | 0.597657i | \(0.203901\pi\) | |||||||
\(20\) | 0.250210 | − | 0.933796i | 0.0559486 | − | 0.208803i | ||||
\(21\) | −0.953787 | + | 2.46785i | −0.208133 | + | 0.538529i | ||||
\(22\) | 3.24847 | + | 5.62651i | 0.692576 | + | 1.19958i | ||||
\(23\) | 0.202140 | − | 0.116706i | 0.0421491 | − | 0.0243348i | −0.478777 | − | 0.877936i | \(-0.658920\pi\) |
0.520927 | + | 0.853602i | \(0.325587\pi\) | |||||||
\(24\) | 2.11257 | + | 2.11257i | 0.431227 | + | 0.431227i | ||||
\(25\) | 3.55787 | − | 2.05414i | 0.711574 | − | 0.410827i | ||||
\(26\) | −0.152440 | − | 3.55922i | −0.0298960 | − | 0.698021i | ||||
\(27\) | − | 1.00000i | − | 0.192450i | ||||||
\(28\) | 1.69975 | + | 2.10884i | 0.321223 | + | 0.398534i | ||||
\(29\) | −2.32457 | + | 4.02628i | −0.431662 | + | 0.747661i | −0.997017 | − | 0.0771873i | \(-0.975406\pi\) |
0.565354 | + | 0.824848i | \(0.308739\pi\) | |||||||
\(30\) | − | 0.933034i | − | 0.170348i | ||||||
\(31\) | −7.35090 | − | 1.96967i | −1.32026 | − | 0.353763i | −0.471185 | − | 0.882034i | \(-0.656174\pi\) |
−0.849075 | + | 0.528272i | \(0.822840\pi\) | |||||||
\(32\) | 4.90846 | − | 1.31522i | 0.867701 | − | 0.232500i | ||||
\(33\) | −4.64956 | − | 4.64956i | −0.809385 | − | 0.809385i | ||||
\(34\) | −2.60848 | − | 2.60848i | −0.447350 | − | 0.447350i | ||||
\(35\) | 0.266825 | − | 2.48413i | 0.0451017 | − | 0.419894i | ||||
\(36\) | −0.886590 | − | 0.511873i | −0.147765 | − | 0.0853122i | ||||
\(37\) | −4.85874 | − | 1.30189i | −0.798771 | − | 0.214030i | −0.163727 | − | 0.986506i | \(-0.552352\pi\) |
−0.635045 | + | 0.772476i | \(0.719018\pi\) | |||||||
\(38\) | −0.621551 | − | 1.07656i | −0.100829 | − | 0.174641i | ||||
\(39\) | 1.08136 | + | 3.43957i | 0.173156 | + | 0.550773i | ||||
\(40\) | −2.44328 | − | 1.41063i | −0.386317 | − | 0.223040i | ||||
\(41\) | −2.49056 | − | 9.29490i | −0.388960 | − | 1.45162i | −0.831828 | − | 0.555033i | \(-0.812706\pi\) |
0.442868 | − | 0.896587i | \(-0.353961\pi\) | |||||||
\(42\) | 2.11138 | + | 1.54138i | 0.325793 | + | 0.237840i | ||||
\(43\) | −10.4062 | + | 6.00801i | −1.58693 | + | 0.916213i | −0.593119 | + | 0.805115i | \(0.702104\pi\) |
−0.993809 | + | 0.111099i | \(0.964563\pi\) | |||||||
\(44\) | −6.50224 | + | 1.74227i | −0.980250 | + | 0.262657i | ||||
\(45\) | 0.244406 | + | 0.912136i | 0.0364339 | + | 0.135973i | ||||
\(46\) | −0.0596897 | − | 0.222765i | −0.00880077 | − | 0.0328449i | ||||
\(47\) | −2.10393 | + | 0.563747i | −0.306890 | + | 0.0822309i | −0.408977 | − | 0.912545i | \(-0.634115\pi\) |
0.102087 | + | 0.994775i | \(0.467448\pi\) | |||||||
\(48\) | 0.783279 | − | 0.452226i | 0.113057 | − | 0.0652732i | ||||
\(49\) | 5.18058 | + | 4.70761i | 0.740083 | + | 0.672515i | ||||
\(50\) | −1.05060 | − | 3.92089i | −0.148577 | − | 0.554497i | ||||
\(51\) | 3.23334 | + | 1.86677i | 0.452758 | + | 0.261400i | ||||
\(52\) | 3.60301 | + | 0.801905i | 0.499647 | + | 0.111204i | ||||
\(53\) | 2.04084 | + | 3.53484i | 0.280331 | + | 0.485548i | 0.971466 | − | 0.237178i | \(-0.0762224\pi\) |
−0.691135 | + | 0.722726i | \(0.742889\pi\) | |||||||
\(54\) | −0.954388 | − | 0.255728i | −0.129876 | − | 0.0348001i | ||||
\(55\) | 5.37742 | + | 3.10465i | 0.725091 | + | 0.418631i | ||||
\(56\) | 7.22846 | − | 3.19857i | 0.965944 | − | 0.427427i | ||||
\(57\) | 0.889632 | + | 0.889632i | 0.117835 | + | 0.117835i | ||||
\(58\) | 3.24817 | + | 3.24817i | 0.426506 | + | 0.426506i | ||||
\(59\) | −7.20872 | + | 1.93157i | −0.938495 | + | 0.251469i | −0.695473 | − | 0.718552i | \(-0.744805\pi\) |
−0.243022 | + | 0.970021i | \(0.578139\pi\) | |||||||
\(60\) | 0.933796 | + | 0.250210i | 0.120553 | + | 0.0323020i | ||||
\(61\) | − | 2.45527i | − | 0.314365i | −0.987570 | − | 0.157183i | \(-0.949759\pi\) | ||
0.987570 | − | 0.157183i | \(-0.0502412\pi\) | |||||||
\(62\) | −3.75966 | + | 6.51191i | −0.477477 | + | 0.827014i | ||||
\(63\) | −2.46785 | − | 0.953787i | −0.310920 | − | 0.120166i | ||||
\(64\) | − | 6.82982i | − | 0.853727i | ||||||
\(65\) | −1.82700 | − | 2.87307i | −0.226611 | − | 0.356361i | ||||
\(66\) | −5.62651 | + | 3.24847i | −0.692576 | + | 0.399859i | ||||
\(67\) | −7.19137 | − | 7.19137i | −0.878566 | − | 0.878566i | 0.114820 | − | 0.993386i | \(-0.463371\pi\) |
−0.993386 | + | 0.114820i | \(0.963371\pi\) | |||||||
\(68\) | 3.31012 | − | 1.91110i | 0.401411 | − | 0.231755i | ||||
\(69\) | 0.116706 | + | 0.202140i | 0.0140497 | + | 0.0243348i | ||||
\(70\) | −2.30259 | − | 0.889915i | −0.275212 | − | 0.106365i | ||||
\(71\) | 0.433350 | − | 1.61728i | 0.0514292 | − | 0.191936i | −0.935432 | − | 0.353507i | \(-0.884989\pi\) |
0.986861 | + | 0.161570i | \(0.0516559\pi\) | |||||||
\(72\) | −2.11257 | + | 2.11257i | −0.248969 | + | 0.248969i | ||||
\(73\) | −2.10388 | + | 7.85180i | −0.246241 | + | 0.918984i | 0.726515 | + | 0.687151i | \(0.241139\pi\) |
−0.972756 | + | 0.231833i | \(0.925528\pi\) | |||||||
\(74\) | −2.48503 | + | 4.30419i | −0.288878 | + | 0.500352i | ||||
\(75\) | 2.05414 | + | 3.55787i | 0.237191 | + | 0.410827i | ||||
\(76\) | 1.24412 | − | 0.333360i | 0.142710 | − | 0.0382390i | ||||
\(77\) | −15.9091 | + | 7.03974i | −1.81301 | + | 0.802253i | ||||
\(78\) | 3.55922 | − | 0.152440i | 0.403003 | − | 0.0172605i | ||||
\(79\) | −0.942160 | + | 1.63187i | −0.106001 | + | 0.183600i | −0.914147 | − | 0.405383i | \(-0.867138\pi\) |
0.808146 | + | 0.588983i | \(0.200471\pi\) | |||||||
\(80\) | −0.603930 | + | 0.603930i | −0.0675214 | + | 0.0675214i | ||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | −9.50785 | −1.04997 | ||||||||
\(83\) | 9.95023 | − | 9.95023i | 1.09218 | − | 1.09218i | 0.0968835 | − | 0.995296i | \(-0.469113\pi\) |
0.995296 | − | 0.0968835i | \(-0.0308874\pi\) | |||||||
\(84\) | −2.10884 | + | 1.69975i | −0.230094 | + | 0.185458i | ||||
\(85\) | −3.40550 | − | 0.912500i | −0.369378 | − | 0.0989745i | ||||
\(86\) | 3.07283 | + | 11.4680i | 0.331352 | + | 1.23662i | ||||
\(87\) | −4.02628 | − | 2.32457i | −0.431662 | − | 0.249220i | ||||
\(88\) | 19.6451i | 2.09417i | ||||||||
\(89\) | 1.05604 | − | 3.94121i | 0.111940 | − | 0.417767i | −0.887099 | − | 0.461578i | \(-0.847283\pi\) |
0.999040 | + | 0.0438111i | \(0.0139500\pi\) | |||||||
\(90\) | 0.933034 | 0.0983504 | ||||||||
\(91\) | 9.51974 | + | 0.611992i | 0.997940 | + | 0.0641542i | ||||
\(92\) | 0.238954 | 0.0249127 | ||||||||
\(93\) | 1.96967 | − | 7.35090i | 0.204245 | − | 0.762253i | ||||
\(94\) | 2.15213i | 0.221976i | ||||||||
\(95\) | −1.02890 | − | 0.594034i | −0.105563 | − | 0.0609466i | ||||
\(96\) | 1.31522 | + | 4.90846i | 0.134234 | + | 0.500967i | ||||
\(97\) | −2.41702 | − | 0.647638i | −0.245411 | − | 0.0657576i | 0.134017 | − | 0.990979i | \(-0.457212\pi\) |
−0.379428 | + | 0.925221i | \(0.623879\pi\) | |||||||
\(98\) | 5.81770 | − | 3.74042i | 0.587677 | − | 0.377840i | ||||
\(99\) | 4.64956 | − | 4.64956i | 0.467299 | − | 0.467299i | ||||
\(100\) | 4.20583 | 0.420583 | ||||||||
\(101\) | 2.40441 | 0.239248 | 0.119624 | − | 0.992819i | \(-0.461831\pi\) | ||||
0.119624 | + | 0.992819i | \(0.461831\pi\) | |||||||
\(102\) | 2.60848 | − | 2.60848i | 0.258278 | − | 0.258278i | ||||
\(103\) | −1.45067 | + | 2.51263i | −0.142938 | + | 0.247577i | −0.928602 | − | 0.371077i | \(-0.878988\pi\) |
0.785663 | + | 0.618654i | \(0.212322\pi\) | |||||||
\(104\) | 4.98191 | − | 9.55080i | 0.488516 | − | 0.936533i | ||||
\(105\) | 2.48413 | + | 0.266825i | 0.242426 | + | 0.0260395i | ||||
\(106\) | 3.89551 | − | 1.04380i | 0.378366 | − | 0.101383i | ||||
\(107\) | 5.54205 | + | 9.59911i | 0.535770 | + | 0.927981i | 0.999126 | + | 0.0418082i | \(0.0133119\pi\) |
−0.463356 | + | 0.886172i | \(0.653355\pi\) | |||||||
\(108\) | 0.511873 | − | 0.886590i | 0.0492550 | − | 0.0853122i | ||||
\(109\) | −1.87996 | + | 7.01612i | −0.180068 | + | 0.672023i | 0.815565 | + | 0.578666i | \(0.196426\pi\) |
−0.995633 | + | 0.0933569i | \(0.970240\pi\) | |||||||
\(110\) | 4.33820 | − | 4.33820i | 0.413631 | − | 0.413631i | ||||
\(111\) | 1.30189 | − | 4.85874i | 0.123570 | − | 0.461171i | ||||
\(112\) | −0.368946 | − | 2.36434i | −0.0348621 | − | 0.223409i | ||||
\(113\) | −0.604359 | − | 1.04678i | −0.0568533 | − | 0.0984728i | 0.836198 | − | 0.548428i | \(-0.184773\pi\) |
−0.893051 | + | 0.449955i | \(0.851440\pi\) | |||||||
\(114\) | 1.07656 | − | 0.621551i | 0.100829 | − | 0.0582136i | ||||
\(115\) | −0.155856 | − | 0.155856i | −0.0145336 | − | 0.0145336i | ||||
\(116\) | −4.12188 | + | 2.37977i | −0.382707 | + | 0.220956i | ||||
\(117\) | −3.43957 | + | 1.08136i | −0.317989 | + | 0.0999715i | ||||
\(118\) | 7.37387i | 0.678820i | ||||||||
\(119\) | 7.69083 | − | 6.19890i | 0.705017 | − | 0.568253i | ||||
\(120\) | 1.41063 | − | 2.44328i | 0.128772 | − | 0.223040i | ||||
\(121\) | − | 32.2369i | − | 2.93062i | ||||||
\(122\) | −2.34328 | − | 0.627881i | −0.212151 | − | 0.0568457i | ||||
\(123\) | 9.29490 | − | 2.49056i | 0.838093 | − | 0.224566i | ||||
\(124\) | −5.50901 | − | 5.50901i | −0.494724 | − | 0.494724i | ||||
\(125\) | −6.08187 | − | 6.08187i | −0.543979 | − | 0.543979i | ||||
\(126\) | −1.54138 | + | 2.11138i | −0.137317 | + | 0.188097i | ||||
\(127\) | −8.44594 | − | 4.87627i | −0.749456 | − | 0.432699i | 0.0760413 | − | 0.997105i | \(-0.475772\pi\) |
−0.825497 | + | 0.564406i | \(0.809105\pi\) | |||||||
\(128\) | 3.29862 | + | 0.883862i | 0.291559 | + | 0.0781231i | ||||
\(129\) | −6.00801 | − | 10.4062i | −0.528976 | − | 0.916213i | ||||
\(130\) | −3.20924 | + | 1.00894i | −0.281469 | + | 0.0884901i | ||||
\(131\) | 14.7264 | + | 8.50232i | 1.28666 | + | 0.742851i | 0.978056 | − | 0.208341i | \(-0.0668065\pi\) |
0.308599 | + | 0.951192i | \(0.400140\pi\) | |||||||
\(132\) | −1.74227 | − | 6.50224i | −0.151645 | − | 0.565947i | ||||
\(133\) | 3.04400 | − | 1.34696i | 0.263948 | − | 0.116796i | ||||
\(134\) | −8.70239 | + | 5.02433i | −0.751772 | + | 0.434036i | ||||
\(135\) | −0.912136 | + | 0.244406i | −0.0785042 | + | 0.0210351i | ||||
\(136\) | −2.88698 | − | 10.7744i | −0.247556 | − | 0.923893i | ||||
\(137\) | −1.24138 | − | 4.63290i | −0.106058 | − | 0.395816i | 0.892405 | − | 0.451236i | \(-0.149017\pi\) |
−0.998463 | + | 0.0554205i | \(0.982350\pi\) | |||||||
\(138\) | 0.222765 | − | 0.0596897i | 0.0189630 | − | 0.00508113i | ||||
\(139\) | 6.97771 | − | 4.02859i | 0.591842 | − | 0.341700i | −0.173984 | − | 0.984749i | \(-0.555664\pi\) |
0.765826 | + | 0.643048i | \(0.222331\pi\) | |||||||
\(140\) | 1.50812 | − | 2.06582i | 0.127460 | − | 0.174594i | ||||
\(141\) | −0.563747 | − | 2.10393i | −0.0474760 | − | 0.177183i | ||||
\(142\) | −1.43270 | − | 0.827168i | −0.120229 | − | 0.0694144i | ||||
\(143\) | −10.9647 | + | 21.0203i | −0.916912 | + | 1.75781i | ||||
\(144\) | 0.452226 | + | 0.783279i | 0.0376855 | + | 0.0652732i | ||||
\(145\) | 4.24065 | + | 1.13628i | 0.352167 | + | 0.0943629i | ||||
\(146\) | 6.95565 | + | 4.01584i | 0.575653 | + | 0.332354i | ||||
\(147\) | −4.70761 | + | 5.18058i | −0.388277 | + | 0.427287i | ||||
\(148\) | −3.64130 | − | 3.64130i | −0.299313 | − | 0.299313i | ||||
\(149\) | 10.8793 | + | 10.8793i | 0.891265 | + | 0.891265i | 0.994642 | − | 0.103378i | \(-0.0329650\pi\) |
−0.103378 | + | 0.994642i | \(0.532965\pi\) | |||||||
\(150\) | 3.92089 | − | 1.05060i | 0.320139 | − | 0.0857810i | ||||
\(151\) | 23.6057 | + | 6.32512i | 1.92100 | + | 0.514731i | 0.987892 | + | 0.155142i | \(0.0495836\pi\) |
0.933111 | + | 0.359589i | \(0.117083\pi\) | |||||||
\(152\) | − | 3.75882i | − | 0.304881i | ||||||
\(153\) | −1.86677 | + | 3.23334i | −0.150919 | + | 0.261400i | ||||
\(154\) | 2.65024 | + | 16.9837i | 0.213563 | + | 1.36859i | ||||
\(155\) | 7.18642i | 0.577227i | ||||||||
\(156\) | −0.801905 | + | 3.60301i | −0.0642038 | + | 0.288472i | ||||
\(157\) | 8.18219 | − | 4.72399i | 0.653010 | − | 0.377015i | −0.136599 | − | 0.990626i | \(-0.543617\pi\) |
0.789608 | + | 0.613611i | \(0.210284\pi\) | |||||||
\(158\) | 1.31650 | + | 1.31650i | 0.104735 | + | 0.104735i | ||||
\(159\) | −3.53484 | + | 2.04084i | −0.280331 | + | 0.161849i | ||||
\(160\) | −2.39932 | − | 4.15574i | −0.189683 | − | 0.328540i | ||||
\(161\) | 0.610164 | − | 0.0952137i | 0.0480877 | − | 0.00750389i | ||||
\(162\) | 0.255728 | − | 0.954388i | 0.0200919 | − | 0.0749838i | ||||
\(163\) | 13.3170 | − | 13.3170i | 1.04306 | − | 1.04306i | 0.0440343 | − | 0.999030i | \(-0.485979\pi\) |
0.999030 | − | 0.0440343i | \(-0.0140211\pi\) | |||||||
\(164\) | 2.54970 | − | 9.51562i | 0.199098 | − | 0.743045i | ||||
\(165\) | −3.10465 | + | 5.37742i | −0.241697 | + | 0.418631i | ||||
\(166\) | −6.95183 | − | 12.0409i | −0.539567 | − | 0.934557i | ||||
\(167\) | −22.1608 | + | 5.93797i | −1.71486 | + | 0.459494i | −0.976606 | − | 0.215034i | \(-0.931014\pi\) |
−0.738249 | + | 0.674528i | \(0.764347\pi\) | |||||||
\(168\) | 3.19857 | + | 7.22846i | 0.246775 | + | 0.557688i | ||||
\(169\) | 10.6613 | − | 7.43881i | 0.820103 | − | 0.572216i | ||||
\(170\) | −1.74176 | + | 3.01682i | −0.133587 | + | 0.231379i | ||||
\(171\) | −0.889632 | + | 0.889632i | −0.0680318 | + | 0.0680318i | ||||
\(172\) | −12.3014 | −0.937970 | ||||||||
\(173\) | 8.58805 | 0.652937 | 0.326469 | − | 0.945208i | \(-0.394141\pi\) | ||||
0.326469 | + | 0.945208i | \(0.394141\pi\) | |||||||
\(174\) | −3.24817 | + | 3.24817i | −0.246243 | + | 0.246243i | ||||
\(175\) | 10.7395 | − | 1.67586i | 0.811830 | − | 0.126683i | ||||
\(176\) | 5.74456 | + | 1.53925i | 0.433012 | + | 0.116025i | ||||
\(177\) | −1.93157 | − | 7.20872i | −0.145186 | − | 0.541840i | ||||
\(178\) | −3.49138 | − | 2.01575i | −0.261690 | − | 0.151087i | ||||
\(179\) | 13.6367i | 1.01926i | 0.860394 | + | 0.509629i | \(0.170217\pi\) | ||||
−0.860394 | + | 0.509629i | \(0.829783\pi\) | |||||||
\(180\) | −0.250210 | + | 0.933796i | −0.0186495 | + | 0.0696010i | ||||
\(181\) | −11.2556 | −0.836622 | −0.418311 | − | 0.908304i | \(-0.637378\pi\) | ||||
−0.418311 | + | 0.908304i | \(0.637378\pi\) | |||||||
\(182\) | 3.01854 | − | 8.92903i | 0.223749 | − | 0.661864i | ||||
\(183\) | 2.45527 | 0.181499 | ||||||||
\(184\) | 0.180487 | − | 0.673585i | 0.0133057 | − | 0.0496574i | ||||
\(185\) | 4.75002i | 0.349229i | ||||||||
\(186\) | −6.51191 | − | 3.75966i | −0.477477 | − | 0.275671i | ||||
\(187\) | 6.35395 | + | 23.7133i | 0.464647 | + | 1.73409i | ||||
\(188\) | −2.15389 | − | 0.577134i | −0.157089 | − | 0.0420918i | ||||
\(189\) | 0.953787 | − | 2.46785i | 0.0693778 | − | 0.179510i | ||||
\(190\) | −0.830056 | + | 0.830056i | −0.0602186 | + | 0.0602186i | ||||
\(191\) | 11.3967 | 0.824637 | 0.412319 | − | 0.911040i | \(-0.364719\pi\) | ||||
0.412319 | + | 0.911040i | \(0.364719\pi\) | |||||||
\(192\) | 6.82982 | 0.492900 | ||||||||
\(193\) | −1.75587 | + | 1.75587i | −0.126390 | + | 0.126390i | −0.767472 | − | 0.641082i | \(-0.778486\pi\) |
0.641082 | + | 0.767472i | \(0.278486\pi\) | |||||||
\(194\) | −1.23620 | + | 2.14115i | −0.0887537 | + | 0.153726i | ||||
\(195\) | 2.87307 | − | 1.82700i | 0.205745 | − | 0.130834i | ||||
\(196\) | 2.18336 | + | 6.82552i | 0.155954 | + | 0.487537i | ||||
\(197\) | −14.0826 | + | 3.77342i | −1.00334 | + | 0.268845i | −0.722846 | − | 0.691009i | \(-0.757166\pi\) |
−0.280498 | + | 0.959854i | \(0.590500\pi\) | |||||||
\(198\) | −3.24847 | − | 5.62651i | −0.230859 | − | 0.399859i | ||||
\(199\) | 2.61480 | − | 4.52897i | 0.185358 | − | 0.321050i | −0.758339 | − | 0.651860i | \(-0.773989\pi\) |
0.943697 | + | 0.330811i | \(0.107322\pi\) | |||||||
\(200\) | 3.17674 | − | 11.8558i | 0.224630 | − | 0.838330i | ||||
\(201\) | 7.19137 | − | 7.19137i | 0.507240 | − | 0.507240i | ||||
\(202\) | 0.614874 | − | 2.29474i | 0.0432624 | − | 0.161457i | ||||
\(203\) | −9.57691 | + | 7.71911i | −0.672167 | + | 0.541775i | ||||
\(204\) | 1.91110 | + | 3.31012i | 0.133804 | + | 0.231755i | ||||
\(205\) | −7.86951 | + | 4.54346i | −0.549630 | + | 0.317329i | ||||
\(206\) | 2.02705 | + | 2.02705i | 0.141231 | + | 0.141231i | ||||
\(207\) | −0.202140 | + | 0.116706i | −0.0140497 | + | 0.00811161i | ||||
\(208\) | −2.40247 | − | 2.20513i | −0.166581 | − | 0.152898i | ||||
\(209\) | 8.27280i | 0.572241i | ||||||||
\(210\) | 0.889915 | − | 2.30259i | 0.0614100 | − | 0.158894i | ||||
\(211\) | 5.55565 | − | 9.62266i | 0.382466 | − | 0.662451i | −0.608948 | − | 0.793210i | \(-0.708408\pi\) |
0.991414 | + | 0.130759i | \(0.0417414\pi\) | |||||||
\(212\) | 4.17861i | 0.286988i | ||||||||
\(213\) | 1.61728 | + | 0.433350i | 0.110814 | + | 0.0296926i | ||||
\(214\) | 10.5785 | − | 2.83451i | 0.723133 | − | 0.193763i | ||||
\(215\) | 8.02346 | + | 8.02346i | 0.547196 | + | 0.547196i | ||||
\(216\) | −2.11257 | − | 2.11257i | −0.143742 | − | 0.143742i | ||||
\(217\) | −16.2623 | − | 11.8720i | −1.10396 | − | 0.805926i | ||||
\(218\) | 6.21535 | + | 3.58843i | 0.420956 | + | 0.243039i | ||||
\(219\) | −7.85180 | − | 2.10388i | −0.530576 | − | 0.142167i | ||||
\(220\) | 3.17838 | + | 5.50511i | 0.214286 | + | 0.371154i | ||||
\(221\) | 2.92450 | − | 13.1400i | 0.196723 | − | 0.883889i | ||||
\(222\) | −4.30419 | − | 2.48503i | −0.288878 | − | 0.166784i | ||||
\(223\) | 7.12168 | + | 26.5785i | 0.476903 | + | 1.77983i | 0.614040 | + | 0.789275i | \(0.289543\pi\) |
−0.137137 | + | 0.990552i | \(0.543790\pi\) | |||||||
\(224\) | 13.3678 | + | 1.43586i | 0.893173 | + | 0.0959374i | ||||
\(225\) | −3.55787 | + | 2.05414i | −0.237191 | + | 0.136942i | ||||
\(226\) | −1.15359 | + | 0.309102i | −0.0767354 | + | 0.0205612i | ||||
\(227\) | 3.03858 | + | 11.3401i | 0.201677 | + | 0.752670i | 0.990437 | + | 0.137968i | \(0.0440571\pi\) |
−0.788759 | + | 0.614702i | \(0.789276\pi\) | |||||||
\(228\) | 0.333360 | + | 1.24412i | 0.0220773 | + | 0.0823937i | ||||
\(229\) | −13.5399 | + | 3.62802i | −0.894745 | + | 0.239746i | −0.676758 | − | 0.736206i | \(-0.736616\pi\) |
−0.217987 | + | 0.975952i | \(0.569949\pi\) | |||||||
\(230\) | −0.188604 | + | 0.108890i | −0.0124362 | + | 0.00718002i | ||||
\(231\) | −7.03974 | − | 15.9091i | −0.463181 | − | 1.04674i | ||||
\(232\) | 3.59498 | + | 13.4166i | 0.236022 | + | 0.880845i | ||||
\(233\) | 5.26788 | + | 3.04141i | 0.345110 | + | 0.199249i | 0.662529 | − | 0.749036i | \(-0.269483\pi\) |
−0.317419 | + | 0.948285i | \(0.602816\pi\) | |||||||
\(234\) | 0.152440 | + | 3.55922i | 0.00996534 | + | 0.232674i | ||||
\(235\) | 1.02843 | + | 1.78129i | 0.0670872 | + | 0.116199i | ||||
\(236\) | −7.37989 | − | 1.97744i | −0.480390 | − | 0.128720i | ||||
\(237\) | −1.63187 | − | 0.942160i | −0.106001 | − | 0.0611999i | ||||
\(238\) | −3.94940 | − | 8.92527i | −0.256002 | − | 0.578539i | ||||
\(239\) | −3.72605 | − | 3.72605i | −0.241018 | − | 0.241018i | 0.576253 | − | 0.817271i | \(-0.304514\pi\) |
−0.817271 | + | 0.576253i | \(0.804514\pi\) | |||||||
\(240\) | −0.603930 | − | 0.603930i | −0.0389835 | − | 0.0389835i | ||||
\(241\) | −25.9354 | + | 6.94938i | −1.67065 | + | 0.447649i | −0.965285 | − | 0.261197i | \(-0.915883\pi\) |
−0.705363 | + | 0.708846i | \(0.749216\pi\) | |||||||
\(242\) | −30.7665 | − | 8.24386i | −1.97775 | − | 0.529935i | ||||
\(243\) | 1.00000i | 0.0641500i | ||||||||
\(244\) | 1.25679 | − | 2.17682i | 0.0804576 | − | 0.139357i | ||||
\(245\) | 3.02781 | − | 5.87597i | 0.193440 | − | 0.375402i | ||||
\(246\) | − | 9.50785i | − | 0.606198i | ||||||
\(247\) | 2.09794 | − | 4.02196i | 0.133489 | − | 0.255911i | ||||
\(248\) | −19.6904 | + | 11.3682i | −1.25034 | + | 0.721884i | ||||
\(249\) | 9.95023 | + | 9.95023i | 0.630570 | + | 0.630570i | ||||
\(250\) | −7.35977 | + | 4.24916i | −0.465473 | + | 0.268741i | ||||
\(251\) | 6.48321 | + | 11.2292i | 0.409217 | + | 0.708784i | 0.994802 | − | 0.101827i | \(-0.0324687\pi\) |
−0.585586 | + | 0.810611i | \(0.699135\pi\) | |||||||
\(252\) | −1.69975 | − | 2.10884i | −0.107074 | − | 0.132845i | ||||
\(253\) | −0.397233 | + | 1.48249i | −0.0249738 | + | 0.0932036i | ||||
\(254\) | −6.81371 | + | 6.81371i | −0.427530 | + | 0.427530i | ||||
\(255\) | 0.912500 | − | 3.40550i | 0.0571430 | − | 0.213261i | ||||
\(256\) | 8.51691 | − | 14.7517i | 0.532307 | − | 0.921983i | ||||
\(257\) | 9.28663 | + | 16.0849i | 0.579284 | + | 1.00335i | 0.995562 | + | 0.0941119i | \(0.0300011\pi\) |
−0.416278 | + | 0.909238i | \(0.636666\pi\) | |||||||
\(258\) | −11.4680 | + | 3.07283i | −0.713964 | + | 0.191306i | ||||
\(259\) | −10.7489 | − | 7.84708i | −0.667905 | − | 0.487594i | ||||
\(260\) | −0.149151 | − | 3.48243i | −0.00924996 | − | 0.215971i | ||||
\(261\) | 2.32457 | − | 4.02628i | 0.143887 | − | 0.249220i | ||||
\(262\) | 11.8805 | − | 11.8805i | 0.733978 | − | 0.733978i | ||||
\(263\) | −8.66221 | −0.534135 | −0.267067 | − | 0.963678i | \(-0.586055\pi\) | ||||
−0.267067 | + | 0.963678i | \(0.586055\pi\) | |||||||
\(264\) | −19.6451 | −1.20907 | ||||||||
\(265\) | 2.72546 | − | 2.72546i | 0.167424 | − | 0.167424i | ||||
\(266\) | −0.507089 | − | 3.24961i | −0.0310916 | − | 0.199246i | ||||
\(267\) | 3.94121 | + | 1.05604i | 0.241198 | + | 0.0646288i | ||||
\(268\) | −2.69473 | − | 10.0569i | −0.164607 | − | 0.614321i | ||||
\(269\) | −6.31308 | − | 3.64486i | −0.384915 | − | 0.222231i | 0.295039 | − | 0.955485i | \(-0.404667\pi\) |
−0.679955 | + | 0.733254i | \(0.738001\pi\) | |||||||
\(270\) | 0.933034i | 0.0567826i | ||||||||
\(271\) | 6.08174 | − | 22.6974i | 0.369440 | − | 1.37877i | −0.491862 | − | 0.870673i | \(-0.663683\pi\) |
0.861301 | − | 0.508094i | \(-0.169650\pi\) | |||||||
\(272\) | −3.37681 | −0.204749 | ||||||||
\(273\) | −0.611992 | + | 9.51974i | −0.0370394 | + | 0.576161i | ||||
\(274\) | −4.73904 | −0.286296 | ||||||||
\(275\) | −6.99170 | + | 26.0934i | −0.421615 | + | 1.57349i | ||||
\(276\) | 0.238954i | 0.0143833i | ||||||||
\(277\) | −2.12311 | − | 1.22578i | −0.127565 | − | 0.0736499i | 0.434859 | − | 0.900498i | \(-0.356798\pi\) |
−0.562425 | + | 0.826848i | \(0.690131\pi\) | |||||||
\(278\) | −2.06044 | − | 7.68967i | −0.123577 | − | 0.461196i | ||||
\(279\) | 7.35090 | + | 1.96967i | 0.440087 | + | 0.117921i | ||||
\(280\) | −4.68422 | − | 5.81159i | −0.279935 | − | 0.347309i | ||||
\(281\) | −9.26224 | + | 9.26224i | −0.552539 | + | 0.552539i | −0.927173 | − | 0.374634i | \(-0.877768\pi\) |
0.374634 | + | 0.927173i | \(0.377768\pi\) | |||||||
\(282\) | −2.15213 | −0.128158 | ||||||||
\(283\) | 0.575760 | 0.0342254 | 0.0171127 | − | 0.999854i | \(-0.494553\pi\) | ||||
0.0171127 | + | 0.999854i | \(0.494553\pi\) | |||||||
\(284\) | 1.21205 | − | 1.21205i | 0.0719218 | − | 0.0719218i | ||||
\(285\) | 0.594034 | − | 1.02890i | 0.0351875 | − | 0.0609466i | ||||
\(286\) | 17.2576 | + | 15.8400i | 1.02046 | + | 0.936642i | ||||
\(287\) | 2.71902 | − | 25.3139i | 0.160498 | − | 1.49423i | ||||
\(288\) | −4.90846 | + | 1.31522i | −0.289234 | + | 0.0774999i | ||||
\(289\) | 1.53034 | + | 2.65063i | 0.0900201 | + | 0.155919i | ||||
\(290\) | 2.16890 | − | 3.75665i | 0.127362 | − | 0.220598i | ||||
\(291\) | 0.647638 | − | 2.41702i | 0.0379652 | − | 0.141688i | ||||
\(292\) | −5.88441 | + | 5.88441i | −0.344359 | + | 0.344359i | ||||
\(293\) | 4.53613 | − | 16.9291i | 0.265004 | − | 0.989007i | −0.697245 | − | 0.716833i | \(-0.745591\pi\) |
0.962248 | − | 0.272174i | \(-0.0877425\pi\) | |||||||
\(294\) | 3.74042 | + | 5.81770i | 0.218146 | + | 0.339295i | ||||
\(295\) | 3.52371 | + | 6.10324i | 0.205158 | + | 0.355345i | ||||
\(296\) | −13.0148 | + | 7.51409i | −0.756469 | + | 0.436748i | ||||
\(297\) | 4.64956 | + | 4.64956i | 0.269795 | + | 0.269795i | ||||
\(298\) | 13.1652 | − | 7.60092i | 0.762638 | − | 0.440310i | ||||
\(299\) | 0.569076 | − | 0.620004i | 0.0329105 | − | 0.0358557i | ||||
\(300\) | 4.20583i | 0.242824i | ||||||||
\(301\) | −31.4113 | + | 4.90161i | −1.81052 | + | 0.282524i | ||||
\(302\) | 12.0732 | − | 20.9115i | 0.694737 | − | 1.20332i | ||||
\(303\) | 2.40441i | 0.138130i | ||||||||
\(304\) | −1.09914 | − | 0.294515i | −0.0630402 | − | 0.0168916i | ||||
\(305\) | −2.23954 | + | 0.600084i | −0.128236 | + | 0.0343607i | ||||
\(306\) | 2.60848 | + | 2.60848i | 0.149117 | + | 0.149117i | ||||
\(307\) | 10.3888 | + | 10.3888i | 0.592923 | + | 0.592923i | 0.938420 | − | 0.345497i | \(-0.112290\pi\) |
−0.345497 | + | 0.938420i | \(0.612290\pi\) | |||||||
\(308\) | −17.7083 | − | 1.90209i | −1.00903 | − | 0.108381i | ||||
\(309\) | −2.51263 | − | 1.45067i | −0.142938 | − | 0.0825256i | ||||
\(310\) | 6.85864 | + | 1.83777i | 0.389544 | + | 0.104378i | ||||
\(311\) | −6.38744 | − | 11.0634i | −0.362199 | − | 0.627346i | 0.626124 | − | 0.779724i | \(-0.284640\pi\) |
−0.988322 | + | 0.152377i | \(0.951307\pi\) | |||||||
\(312\) | 9.55080 | + | 4.98191i | 0.540707 | + | 0.282045i | ||||
\(313\) | 12.3070 | + | 7.10546i | 0.695633 | + | 0.401624i | 0.805719 | − | 0.592298i | \(-0.201779\pi\) |
−0.110086 | + | 0.993922i | \(0.535112\pi\) | |||||||
\(314\) | −2.41611 | − | 9.01704i | −0.136349 | − | 0.508861i | ||||
\(315\) | −0.266825 | + | 2.48413i | −0.0150339 | + | 0.139965i | ||||
\(316\) | −1.67062 | + | 0.964532i | −0.0939797 | + | 0.0542592i | ||||
\(317\) | 18.0701 | − | 4.84186i | 1.01492 | − | 0.271946i | 0.287234 | − | 0.957860i | \(-0.407264\pi\) |
0.727682 | + | 0.685914i | \(0.240598\pi\) | |||||||
\(318\) | 1.04380 | + | 3.89551i | 0.0585333 | + | 0.218449i | ||||
\(319\) | −7.91218 | − | 29.5287i | −0.442997 | − | 1.65329i | ||||
\(320\) | −6.22973 | + | 1.66925i | −0.348252 | + | 0.0933139i | ||||
\(321\) | −9.59911 | + | 5.54205i | −0.535770 | + | 0.309327i | ||||
\(322\) | 0.0651650 | − | 0.606683i | 0.00363150 | − | 0.0338091i | ||||
\(323\) | −1.21574 | − | 4.53722i | −0.0676458 | − | 0.252458i | ||||
\(324\) | 0.886590 | + | 0.511873i | 0.0492550 | + | 0.0284374i | ||||
\(325\) | 10.0163 | − | 10.9127i | 0.555604 | − | 0.605326i | ||||
\(326\) | −9.30403 | − | 16.1151i | −0.515303 | − | 0.892531i | ||||
\(327\) | −7.01612 | − | 1.87996i | −0.387992 | − | 0.103962i | ||||
\(328\) | −24.8976 | − | 14.3747i | −1.37474 | − | 0.793708i | ||||
\(329\) | −5.72989 | − | 0.615458i | −0.315899 | − | 0.0339313i | ||||
\(330\) | 4.33820 | + | 4.33820i | 0.238810 | + | 0.238810i | ||||
\(331\) | −2.79186 | − | 2.79186i | −0.153454 | − | 0.153454i | 0.626204 | − | 0.779659i | \(-0.284608\pi\) |
−0.779659 | + | 0.626204i | \(0.784608\pi\) | |||||||
\(332\) | 13.9150 | − | 3.72852i | 0.763686 | − | 0.204629i | ||||
\(333\) | 4.85874 | + | 1.30189i | 0.266257 | + | 0.0713434i | ||||
\(334\) | 22.6685i | 1.24037i | ||||||||
\(335\) | −4.80190 | + | 8.31713i | −0.262356 | + | 0.454413i | ||||
\(336\) | 2.36434 | − | 0.368946i | 0.128985 | − | 0.0201277i | ||||
\(337\) | 15.1443i | 0.824962i | 0.910966 | + | 0.412481i | \(0.135338\pi\) | ||||
−0.910966 | + | 0.412481i | \(0.864662\pi\) | |||||||
\(338\) | −4.37312 | − | 12.0774i | −0.237866 | − | 0.656922i | ||||
\(339\) | 1.04678 | − | 0.604359i | 0.0568533 | − | 0.0328243i | ||||
\(340\) | −2.55220 | − | 2.55220i | −0.138412 | − | 0.138412i | ||||
\(341\) | 43.3366 | − | 25.0204i | 2.34681 | − | 1.35493i | ||||
\(342\) | 0.621551 | + | 1.07656i | 0.0336096 | + | 0.0582136i | ||||
\(343\) | 8.29486 | + | 16.5588i | 0.447880 | + | 0.894094i | ||||
\(344\) | −9.29146 | + | 34.6762i | −0.500962 | + | 1.86961i | ||||
\(345\) | 0.155856 | − | 0.155856i | 0.00839100 | − | 0.00839100i | ||||
\(346\) | 2.19620 | − | 8.19633i | 0.118069 | − | 0.440638i | ||||
\(347\) | −3.39724 | + | 5.88420i | −0.182374 | + | 0.315880i | −0.942688 | − | 0.333675i | \(-0.891711\pi\) |
0.760315 | + | 0.649555i | \(0.225045\pi\) | |||||||
\(348\) | −2.37977 | − | 4.12188i | −0.127569 | − | 0.220956i | ||||
\(349\) | −0.378000 | + | 0.101285i | −0.0202339 | + | 0.00542165i | −0.268922 | − | 0.963162i | \(-0.586667\pi\) |
0.248688 | + | 0.968584i | \(0.420001\pi\) | |||||||
\(350\) | 1.14697 | − | 10.6782i | 0.0613081 | − | 0.570775i | ||||
\(351\) | −1.08136 | − | 3.43957i | −0.0577185 | − | 0.183591i | ||||
\(352\) | −16.7070 | + | 28.9374i | −0.890486 | + | 1.54237i | ||||
\(353\) | 14.1200 | − | 14.1200i | 0.751534 | − | 0.751534i | −0.223232 | − | 0.974765i | \(-0.571661\pi\) |
0.974765 | + | 0.223232i | \(0.0716606\pi\) | |||||||
\(354\) | −7.37387 | −0.391917 | ||||||||
\(355\) | −1.58110 | −0.0839159 | ||||||||
\(356\) | 2.95368 | − | 2.95368i | 0.156545 | − | 0.156545i | ||||
\(357\) | 6.19890 | + | 7.69083i | 0.328081 | + | 0.407042i | ||||
\(358\) | 13.0147 | + | 3.48729i | 0.687851 | + | 0.184309i | ||||
\(359\) | −7.17397 | − | 26.7736i | −0.378628 | − | 1.41306i | −0.847971 | − | 0.530042i | \(-0.822176\pi\) |
0.469344 | − | 0.883016i | \(-0.344491\pi\) | |||||||
\(360\) | 2.44328 | + | 1.41063i | 0.128772 | + | 0.0743467i | ||||
\(361\) | 17.4171i | 0.916690i | ||||||||
\(362\) | −2.87837 | + | 10.7422i | −0.151284 | + | 0.564598i | ||||
\(363\) | 32.2369 | 1.69200 | ||||||||
\(364\) | 8.12685 | + | 5.41548i | 0.425962 | + | 0.283848i | ||||
\(365\) | 7.67612 | 0.401786 | ||||||||
\(366\) | 0.627881 | − | 2.34328i | 0.0328199 | − | 0.122485i | ||||
\(367\) | 6.67905i | 0.348644i | 0.984689 | + | 0.174322i | \(0.0557733\pi\) | ||||
−0.984689 | + | 0.174322i | \(0.944227\pi\) | |||||||
\(368\) | −0.182826 | − | 0.105555i | −0.00953047 | − | 0.00550242i | ||||
\(369\) | 2.49056 | + | 9.29490i | 0.129653 | + | 0.483873i | ||||
\(370\) | 4.53337 | + | 1.21471i | 0.235678 | + | 0.0631499i | ||||
\(371\) | 1.66501 | + | 10.6700i | 0.0864430 | + | 0.553958i | ||||
\(372\) | 5.50901 | − | 5.50901i | 0.285629 | − | 0.285629i | ||||
\(373\) | 1.00610 | 0.0520939 | 0.0260469 | − | 0.999661i | \(-0.491708\pi\) | ||||
0.0260469 | + | 0.999661i | \(0.491708\pi\) | |||||||
\(374\) | 24.2566 | 1.25428 | ||||||||
\(375\) | 6.08187 | − | 6.08187i | 0.314066 | − | 0.314066i | ||||
\(376\) | −3.25375 | + | 5.63567i | −0.167800 | + | 0.290637i | ||||
\(377\) | −3.64170 | + | 16.3624i | −0.187557 | + | 0.842705i | ||||
\(378\) | −2.11138 | − | 1.54138i | −0.108598 | − | 0.0792801i | ||||
\(379\) | −20.6414 | + | 5.53086i | −1.06028 | + | 0.284101i | −0.746493 | − | 0.665393i | \(-0.768264\pi\) |
−0.313786 | + | 0.949494i | \(0.601597\pi\) | |||||||
\(380\) | −0.608140 | − | 1.05333i | −0.0311969 | − | 0.0540346i | ||||
\(381\) | 4.87627 | − | 8.44594i | 0.249819 | − | 0.432699i | ||||
\(382\) | 2.91445 | − | 10.8769i | 0.149116 | − | 0.556510i | ||||
\(383\) | 16.1566 | − | 16.1566i | 0.825562 | − | 0.825562i | −0.161338 | − | 0.986899i | \(-0.551581\pi\) |
0.986899 | + | 0.161338i | \(0.0515808\pi\) | |||||||
\(384\) | −0.883862 | + | 3.29862i | −0.0451044 | + | 0.168332i | ||||
\(385\) | 10.3095 | + | 12.7907i | 0.525420 | + | 0.651876i | ||||
\(386\) | 1.22676 | + | 2.12480i | 0.0624402 | + | 0.108150i | ||||
\(387\) | 10.4062 | − | 6.00801i | 0.528976 | − | 0.305404i | ||||
\(388\) | −1.81139 | − | 1.81139i | −0.0919596 | − | 0.0919596i | ||||
\(389\) | −17.3058 | + | 9.99148i | −0.877437 | + | 0.506588i | −0.869812 | − | 0.493383i | \(-0.835760\pi\) |
−0.00762436 | + | 0.999971i | \(0.502427\pi\) | |||||||
\(390\) | −1.00894 | − | 3.20924i | −0.0510898 | − | 0.162506i | ||||
\(391\) | − | 0.871451i | − | 0.0440712i | ||||||
\(392\) | 20.8895 | − | 0.999194i | 1.05508 | − | 0.0504669i | ||||
\(393\) | −8.50232 | + | 14.7264i | −0.428885 | + | 0.742851i | ||||
\(394\) | 14.4052i | 0.725726i | ||||||||
\(395\) | 1.71876 | + | 0.460539i | 0.0864800 | + | 0.0231723i | ||||
\(396\) | 6.50224 | − | 1.74227i | 0.326750 | − | 0.0875524i | ||||
\(397\) | 17.6864 | + | 17.6864i | 0.887654 | + | 0.887654i | 0.994297 | − | 0.106643i | \(-0.0340103\pi\) |
−0.106643 | + | 0.994297i | \(0.534010\pi\) | |||||||
\(398\) | −3.65372 | − | 3.65372i | −0.183144 | − | 0.183144i | ||||
\(399\) | 1.34696 | + | 3.04400i | 0.0674323 | + | 0.152390i | ||||
\(400\) | −3.21792 | − | 1.85787i | −0.160896 | − | 0.0928934i | ||||
\(401\) | −1.35838 | − | 0.363977i | −0.0678343 | − | 0.0181761i | 0.224742 | − | 0.974418i | \(-0.427846\pi\) |
−0.292577 | + | 0.956242i | \(0.594513\pi\) | |||||||
\(402\) | −5.02433 | − | 8.70239i | −0.250591 | − | 0.434036i | ||||
\(403\) | −27.4139 | + | 1.17413i | −1.36558 | + | 0.0584874i | ||||
\(404\) | 2.13173 | + | 1.23075i | 0.106057 | + | 0.0612322i | ||||
\(405\) | −0.244406 | − | 0.912136i | −0.0121446 | − | 0.0453244i | ||||
\(406\) | 4.91795 | + | 11.1141i | 0.244074 | + | 0.551582i | ||||
\(407\) | 28.6442 | − | 16.5378i | 1.41984 | − | 0.819746i | ||||
\(408\) | 10.7744 | − | 2.88698i | 0.533410 | − | 0.142927i | ||||
\(409\) | −0.717754 | − | 2.67870i | −0.0354907 | − | 0.132453i | 0.945907 | − | 0.324436i | \(-0.105175\pi\) |
−0.981398 | + | 0.191984i | \(0.938508\pi\) | |||||||
\(410\) | 2.32378 | + | 8.67246i | 0.114763 | + | 0.428302i | ||||
\(411\) | 4.63290 | − | 1.24138i | 0.228524 | − | 0.0612329i | ||||
\(412\) | −2.57229 | + | 1.48511i | −0.126728 | + | 0.0731663i | ||||
\(413\) | −19.6323 | − | 2.10875i | −0.966044 | − | 0.103765i | ||||
\(414\) | 0.0596897 | + | 0.222765i | 0.00293359 | + | 0.0109483i | ||||
\(415\) | −11.5079 | − | 6.64407i | −0.564899 | − | 0.326144i | ||||
\(416\) | 15.4608 | − | 9.83158i | 0.758027 | − | 0.482033i | ||||
\(417\) | 4.02859 | + | 6.97771i | 0.197281 | + | 0.341700i | ||||
\(418\) | 7.89546 | + | 2.11558i | 0.386180 | + | 0.103477i | ||||
\(419\) | −16.7456 | − | 9.66807i | −0.818075 | − | 0.472316i | 0.0316770 | − | 0.999498i | \(-0.489915\pi\) |
−0.849752 | + | 0.527182i | \(0.823249\pi\) | |||||||
\(420\) | 2.06582 | + | 1.50812i | 0.100802 | + | 0.0735889i | ||||
\(421\) | 2.40433 | + | 2.40433i | 0.117180 | + | 0.117180i | 0.763265 | − | 0.646085i | \(-0.223595\pi\) |
−0.646085 | + | 0.763265i | \(0.723595\pi\) | |||||||
\(422\) | −7.76303 | − | 7.76303i | −0.377898 | − | 0.377898i | ||||
\(423\) | 2.10393 | − | 0.563747i | 0.102297 | − | 0.0274103i | ||||
\(424\) | 11.7790 | + | 3.15618i | 0.572041 | + | 0.153278i | ||||
\(425\) | − | 15.3384i | − | 0.744022i | ||||||
\(426\) | 0.827168 | − | 1.43270i | 0.0400764 | − | 0.0694144i | ||||
\(427\) | 2.34181 | − | 6.05925i | 0.113328 | − | 0.293228i | ||||
\(428\) | 11.3473i | 0.548492i | ||||||||
\(429\) | −21.0203 | − | 10.9647i | −1.01487 | − | 0.529380i | ||||
\(430\) | 9.70932 | − | 5.60568i | 0.468225 | − | 0.270330i | ||||
\(431\) | −0.490482 | − | 0.490482i | −0.0236257 | − | 0.0236257i | 0.695195 | − | 0.718821i | \(-0.255318\pi\) |
−0.718821 | + | 0.695195i | \(0.755318\pi\) | |||||||
\(432\) | −0.783279 | + | 0.452226i | −0.0376855 | + | 0.0217577i | ||||
\(433\) | −10.5144 | − | 18.2115i | −0.505290 | − | 0.875188i | −0.999981 | − | 0.00611893i | \(-0.998052\pi\) |
0.494691 | − | 0.869069i | \(-0.335281\pi\) | |||||||
\(434\) | −15.4892 | + | 12.4845i | −0.743508 | + | 0.599277i | ||||
\(435\) | −1.13628 | + | 4.24065i | −0.0544804 | + | 0.203324i | ||||
\(436\) | −5.25812 | + | 5.25812i | −0.251818 | + | 0.251818i | ||||
\(437\) | 0.0760052 | − | 0.283655i | 0.00363582 | − | 0.0135691i | ||||
\(438\) | −4.01584 | + | 6.95565i | −0.191884 | + | 0.332354i | ||||
\(439\) | −11.4119 | − | 19.7659i | −0.544659 | − | 0.943376i | −0.998628 | − | 0.0523593i | \(-0.983326\pi\) |
0.453970 | − | 0.891017i | \(-0.350007\pi\) | |||||||
\(440\) | 17.9190 | − | 4.80138i | 0.854255 | − | 0.228897i | ||||
\(441\) | −5.18058 | − | 4.70761i | −0.246694 | − | 0.224172i | ||||
\(442\) | −11.7927 | − | 6.15136i | −0.560924 | − | 0.292590i | ||||
\(443\) | −8.38733 | + | 14.5273i | −0.398494 | + | 0.690212i | −0.993540 | − | 0.113480i | \(-0.963800\pi\) |
0.595046 | + | 0.803691i | \(0.297134\pi\) | |||||||
\(444\) | 3.64130 | − | 3.64130i | 0.172809 | − | 0.172809i | ||||
\(445\) | −3.85302 | −0.182651 | ||||||||
\(446\) | 27.1874 | 1.28736 | ||||||||
\(447\) | −10.8793 | + | 10.8793i | −0.514572 | + | 0.514572i | ||||
\(448\) | 6.51419 | − | 16.8550i | 0.307766 | − | 0.796323i | ||||
\(449\) | 14.8030 | + | 3.96646i | 0.698599 | + | 0.187189i | 0.590603 | − | 0.806962i | \(-0.298890\pi\) |
0.107996 | + | 0.994151i | \(0.465557\pi\) | |||||||
\(450\) | 1.05060 | + | 3.92089i | 0.0495257 | + | 0.184832i | ||||
\(451\) | 54.7972 | + | 31.6372i | 2.58030 | + | 1.48974i | ||||
\(452\) | − | 1.23742i | − | 0.0582033i | ||||||
\(453\) | −6.32512 | + | 23.6057i | −0.297180 | + | 1.10909i | ||||
\(454\) | 11.5999 | 0.544412 | ||||||||
\(455\) | −1.76846 | − | 8.83288i | −0.0829069 | − | 0.414092i | ||||
\(456\) | 3.75882 | 0.176023 | ||||||||
\(457\) | −3.60447 | + | 13.4521i | −0.168610 | + | 0.629261i | 0.828942 | + | 0.559334i | \(0.188943\pi\) |
−0.997552 | + | 0.0699267i | \(0.977723\pi\) | |||||||
\(458\) | 13.8501i | 0.647175i | ||||||||
\(459\) | −3.23334 | − | 1.86677i | −0.150919 | − | 0.0871333i | ||||
\(460\) | −0.0584018 | − | 0.217959i | −0.00272300 | − | 0.0101624i | ||||
\(461\) | −15.2937 | − | 4.09793i | −0.712298 | − | 0.190860i | −0.115565 | − | 0.993300i | \(-0.536868\pi\) |
−0.596733 | + | 0.802440i | \(0.703535\pi\) | |||||||
\(462\) | −16.9837 | + | 2.65024i | −0.790155 | + | 0.123301i | ||||
\(463\) | 26.2699 | − | 26.2699i | 1.22086 | − | 1.22086i | 0.253538 | − | 0.967325i | \(-0.418406\pi\) |
0.967325 | − | 0.253538i | \(-0.0815943\pi\) | |||||||
\(464\) | 4.20493 | 0.195209 | ||||||||
\(465\) | −7.18642 | −0.333262 | ||||||||
\(466\) | 4.24983 | − | 4.24983i | 0.196869 | − | 0.196869i | ||||
\(467\) | −16.6813 | + | 28.8928i | −0.771917 | + | 1.33700i | 0.164595 | + | 0.986361i | \(0.447368\pi\) |
−0.936511 | + | 0.350637i | \(0.885965\pi\) | |||||||
\(468\) | −3.60301 | − | 0.801905i | −0.166549 | − | 0.0370681i | ||||
\(469\) | −10.8882 | − | 24.6063i | −0.502771 | − | 1.13621i | ||||
\(470\) | 1.96304 | − | 0.525995i | 0.0905483 | − | 0.0242623i | ||||
\(471\) | 4.72399 | + | 8.18219i | 0.217670 | + | 0.377015i | ||||
\(472\) | −11.1484 | + | 19.3095i | −0.513145 | + | 0.888793i | ||||
\(473\) | 20.4496 | − | 76.3188i | 0.940272 | − | 3.50914i | ||||
\(474\) | −1.31650 | + | 1.31650i | −0.0604689 | + | 0.0604689i | ||||
\(475\) | 1.33777 | − | 4.99262i | 0.0613810 | − | 0.229077i | ||||
\(476\) | 9.99166 | − | 1.55916i | 0.457967 | − | 0.0714639i | ||||
\(477\) | −2.04084 | − | 3.53484i | −0.0934437 | − | 0.161849i | ||||
\(478\) | −4.50896 | + | 2.60325i | −0.206235 | + | 0.119070i | ||||
\(479\) | 3.75854 | + | 3.75854i | 0.171732 | + | 0.171732i | 0.787740 | − | 0.616008i | \(-0.211251\pi\) |
−0.616008 | + | 0.787740i | \(0.711251\pi\) | |||||||
\(480\) | 4.15574 | − | 2.39932i | 0.189683 | − | 0.109513i | ||||
\(481\) | −18.1198 | + | 0.776065i | −0.826192 | + | 0.0353855i | ||||
\(482\) | 26.5296i | 1.20839i | ||||||||
\(483\) | 0.0952137 | + | 0.610164i | 0.00433237 | + | 0.0277634i | ||||
\(484\) | 16.5012 | − | 28.5809i | 0.750054 | − | 1.29913i | ||||
\(485\) | 2.36294i | 0.107295i | ||||||||
\(486\) | 0.954388 | + | 0.255728i | 0.0432919 | + | 0.0116000i | ||||
\(487\) | −13.4339 | + | 3.59961i | −0.608749 | + | 0.163114i | −0.550008 | − | 0.835160i | \(-0.685375\pi\) |
−0.0587410 | + | 0.998273i | \(0.518709\pi\) | |||||||
\(488\) | −5.18694 | − | 5.18694i | −0.234802 | − | 0.234802i | ||||
\(489\) | 13.3170 | + | 13.3170i | 0.602213 | + | 0.602213i | ||||
\(490\) | −4.83366 | − | 4.39236i | −0.218362 | − | 0.198426i | ||||
\(491\) | −6.73956 | − | 3.89109i | −0.304152 | − | 0.175602i | 0.340155 | − | 0.940370i | \(-0.389521\pi\) |
−0.644307 | + | 0.764767i | \(0.722854\pi\) | |||||||
\(492\) | 9.51562 | + | 2.54970i | 0.428997 | + | 0.114949i | ||||
\(493\) | 8.67888 | + | 15.0323i | 0.390877 | + | 0.677019i | ||||
\(494\) | −3.30201 | − | 3.03078i | −0.148565 | − | 0.136361i | ||||
\(495\) | −5.37742 | − | 3.10465i | −0.241697 | − | 0.139544i | ||||
\(496\) | 1.78147 | + | 6.64854i | 0.0799904 | + | 0.298528i | ||||
\(497\) | 2.61199 | − | 3.57789i | 0.117164 | − | 0.160490i | ||||
\(498\) | 12.0409 | − | 6.95183i | 0.539567 | − | 0.311519i | ||||
\(499\) | 12.4657 | − | 3.34017i | 0.558041 | − | 0.149527i | 0.0312347 | − | 0.999512i | \(-0.490056\pi\) |
0.526806 | + | 0.849985i | \(0.323389\pi\) | |||||||
\(500\) | −2.27898 | − | 8.50527i | −0.101919 | − | 0.380367i | ||||
\(501\) | −5.93797 | − | 22.1608i | −0.265289 | − | 0.990072i | ||||
\(502\) | 12.3750 | − | 3.31587i | 0.552323 | − | 0.147995i | ||||
\(503\) | 0.631010 | − | 0.364314i | 0.0281354 | − | 0.0162440i | −0.485866 | − | 0.874033i | \(-0.661496\pi\) |
0.514002 | + | 0.857789i | \(0.328162\pi\) | |||||||
\(504\) | −7.22846 | + | 3.19857i | −0.321981 | + | 0.142476i | ||||
\(505\) | −0.587653 | − | 2.19315i | −0.0261502 | − | 0.0975939i | ||||
\(506\) | 1.31329 | + | 0.758229i | 0.0583829 | + | 0.0337074i | ||||
\(507\) | 7.43881 | + | 10.6613i | 0.330369 | + | 0.473487i | ||||
\(508\) | −4.99206 | − | 8.64650i | −0.221487 | − | 0.383626i | ||||
\(509\) | −14.4291 | − | 3.86626i | −0.639557 | − | 0.171369i | −0.0755542 | − | 0.997142i | \(-0.524073\pi\) |
−0.564003 | + | 0.825773i | \(0.690739\pi\) | |||||||
\(510\) | −3.01682 | − | 1.74176i | −0.133587 | − | 0.0771264i | ||||
\(511\) | −12.6810 | + | 17.3704i | −0.560975 | + | 0.768422i | ||||
\(512\) | −7.07136 | − | 7.07136i | −0.312513 | − | 0.312513i | ||||
\(513\) | −0.889632 | − | 0.889632i | −0.0392782 | − | 0.0392782i | ||||
\(514\) | 17.7261 | − | 4.74970i | 0.781865 | − | 0.209500i | ||||
\(515\) | 2.64641 | + | 0.709104i | 0.116615 | + | 0.0312469i | ||||
\(516\) | − | 12.3014i | − | 0.541537i | ||||||
\(517\) | 7.16119 | − | 12.4035i | 0.314949 | − | 0.545507i | ||||
\(518\) | −10.2380 | + | 8.25192i | −0.449830 | + | 0.362569i | ||||
\(519\) | 8.58805i | 0.376973i | ||||||||
\(520\) | −9.92924 | − | 2.20990i | −0.435426 | − | 0.0969107i | ||||
\(521\) | 26.7816 | − | 15.4624i | 1.17332 | − | 0.677419i | 0.218864 | − | 0.975755i | \(-0.429765\pi\) |
0.954461 | + | 0.298336i | \(0.0964317\pi\) | |||||||
\(522\) | −3.24817 | − | 3.24817i | −0.142169 | − | 0.142169i | ||||
\(523\) | −17.2017 | + | 9.93138i | −0.752176 | + | 0.434269i | −0.826479 | − | 0.562967i | \(-0.809660\pi\) |
0.0743038 | + | 0.997236i | \(0.476327\pi\) | |||||||
\(524\) | 8.70421 | + | 15.0761i | 0.380245 | + | 0.658604i | ||||
\(525\) | 1.67586 | + | 10.7395i | 0.0731404 | + | 0.468710i | ||||
\(526\) | −2.21517 | + | 8.26711i | −0.0965858 | + | 0.360463i | ||||
\(527\) | −20.0910 | + | 20.0910i | −0.875179 | + | 0.875179i | ||||
\(528\) | −1.53925 | + | 5.74456i | −0.0669872 | + | 0.250000i | ||||
\(529\) | −11.4728 | + | 19.8714i | −0.498816 | + | 0.863974i | ||||
\(530\) | −1.90417 | − | 3.29813i | −0.0827120 | − | 0.143261i | ||||
\(531\) | 7.20872 | − | 1.93157i | 0.312832 | − | 0.0838230i | ||||
\(532\) | 3.38825 | + | 0.363939i | 0.146899 | + | 0.0157787i | ||||
\(533\) | −18.6176 | − | 29.2773i | −0.806417 | − | 1.26814i | ||||
\(534\) | 2.01575 | − | 3.49138i | 0.0872301 | − | 0.151087i | ||||
\(535\) | 7.40118 | − | 7.40118i | 0.319981 | − | 0.319981i | ||||
\(536\) | −30.3846 | −1.31241 | ||||||||
\(537\) | −13.6367 | −0.588469 | ||||||||
\(538\) | −5.09304 | + | 5.09304i | −0.219577 | + | 0.219577i | ||||
\(539\) | −45.9758 | + | 2.19913i | −1.98032 | + | 0.0947231i | ||||
\(540\) | −0.933796 | − | 0.250210i | −0.0401842 | − | 0.0107673i | ||||
\(541\) | −2.57018 | − | 9.59205i | −0.110501 | − | 0.412395i | 0.888410 | − | 0.459050i | \(-0.151810\pi\) |
−0.998911 | + | 0.0466559i | \(0.985144\pi\) | |||||||
\(542\) | −20.1068 | − | 11.6087i | −0.863663 | − | 0.498636i | ||||
\(543\) | − | 11.2556i | − | 0.483024i | ||||||
\(544\) | 4.91042 | − | 18.3259i | 0.210532 | − | 0.785717i | ||||
\(545\) | 6.85914 | 0.293813 | ||||||||
\(546\) | 8.92903 | + | 3.01854i | 0.382127 | + | 0.129182i | ||||
\(547\) | −5.37266 | −0.229718 | −0.114859 | − | 0.993382i | \(-0.536642\pi\) | ||||
−0.114859 | + | 0.993382i | \(0.536642\pi\) | |||||||
\(548\) | 1.27086 | − | 4.74291i | 0.0542885 | − | 0.202607i | ||||
\(549\) | 2.45527i | 0.104788i | ||||||||
\(550\) | 23.1152 | + | 13.3456i | 0.985637 | + | 0.569058i | ||||
\(551\) | 1.51389 | + | 5.64992i | 0.0644939 | + | 0.240694i | ||||
\(552\) | 0.673585 | + | 0.180487i | 0.0286697 | + | 0.00768202i | ||||
\(553\) | −3.88157 | + | 3.12859i | −0.165061 | + | 0.133041i | ||||
\(554\) | −1.71281 | + | 1.71281i | −0.0727702 | + | 0.0727702i | ||||
\(555\) | −4.75002 | −0.201627 | ||||||||
\(556\) | 8.24850 | 0.349814 | ||||||||
\(557\) | 9.08545 | − | 9.08545i | 0.384963 | − | 0.384963i | −0.487923 | − | 0.872886i | \(-0.662245\pi\) |
0.872886 | + | 0.487923i | \(0.162245\pi\) | |||||||
\(558\) | 3.75966 | − | 6.51191i | 0.159159 | − | 0.275671i | ||||
\(559\) | −29.2960 | + | 31.9178i | −1.23909 | + | 1.34998i | ||||
\(560\) | −2.06643 | + | 0.914389i | −0.0873226 | + | 0.0386400i | ||||
\(561\) | −23.7133 | + | 6.35395i | −1.00118 | + | 0.268264i | ||||
\(562\) | 6.47117 | + | 11.2084i | 0.272970 | + | 0.472797i | ||||
\(563\) | 3.15942 | − | 5.47228i | 0.133154 | − | 0.230629i | −0.791737 | − | 0.610862i | \(-0.790823\pi\) |
0.924891 | + | 0.380233i | \(0.124156\pi\) | |||||||
\(564\) | 0.577134 | − | 2.15389i | 0.0243017 | − | 0.0906952i | ||||
\(565\) | −0.807097 | + | 0.807097i | −0.0339548 | + | 0.0339548i | ||||
\(566\) | 0.147238 | − | 0.549498i | 0.00618886 | − | 0.0230971i | ||||
\(567\) | 2.46785 | + | 0.953787i | 0.103640 | + | 0.0400553i | ||||
\(568\) | −2.50115 | − | 4.33211i | −0.104946 | − | 0.181771i | ||||
\(569\) | 4.42917 | − | 2.55718i | 0.185680 | − | 0.107203i | −0.404278 | − | 0.914636i | \(-0.632477\pi\) |
0.589959 | + | 0.807433i | \(0.299144\pi\) | |||||||
\(570\) | −0.830056 | − | 0.830056i | −0.0347672 | − | 0.0347672i | ||||
\(571\) | 24.2776 | − | 14.0167i | 1.01599 | − | 0.586580i | 0.103047 | − | 0.994676i | \(-0.467141\pi\) |
0.912939 | + | 0.408097i | \(0.133807\pi\) | |||||||
\(572\) | −20.4809 | + | 13.0239i | −0.856350 | + | 0.544557i | ||||
\(573\) | 11.3967i | 0.476105i | ||||||||
\(574\) | −23.4640 | − | 9.06846i | −0.979367 | − | 0.378510i | ||||
\(575\) | 0.479459 | − | 0.830447i | 0.0199948 | − | 0.0346320i | ||||
\(576\) | 6.82982i | 0.284576i | ||||||||
\(577\) | −19.3359 | − | 5.18104i | −0.804964 | − | 0.215689i | −0.167202 | − | 0.985923i | \(-0.553473\pi\) |
−0.637762 | + | 0.770233i | \(0.720140\pi\) | |||||||
\(578\) | 2.92108 | − | 0.782701i | 0.121501 | − | 0.0325561i | ||||
\(579\) | −1.75587 | − | 1.75587i | −0.0729713 | − | 0.0729713i | ||||
\(580\) | 3.17809 | + | 3.17809i | 0.131963 | + | 0.131963i | ||||
\(581\) | 34.0461 | − | 15.0653i | 1.41247 | − | 0.625014i | ||||
\(582\) | −2.14115 | − | 1.23620i | −0.0887537 | − | 0.0512420i | ||||
\(583\) | −25.9245 | − | 6.94644i | −1.07368 | − | 0.287692i | ||||
\(584\) | 12.1429 | + | 21.0321i | 0.502477 | + | 0.870315i | ||||
\(585\) | 1.82700 | + | 2.87307i | 0.0755371 | + | 0.118787i | ||||
\(586\) | −14.9969 | − | 8.65846i | −0.619516 | − | 0.357678i | ||||
\(587\) | −1.06109 | − | 3.96003i | −0.0437957 | − | 0.163448i | 0.940565 | − | 0.339615i | \(-0.110297\pi\) |
−0.984360 | + | 0.176167i | \(0.943630\pi\) | |||||||
\(588\) | −6.82552 | + | 2.18336i | −0.281480 | + | 0.0900401i | ||||
\(589\) | −8.29187 | + | 4.78731i | −0.341661 | + | 0.197258i | ||||
\(590\) | 6.72598 | − | 1.80222i | 0.276904 | − | 0.0741962i | ||||
\(591\) | −3.77342 | − | 14.0826i | −0.155218 | − | 0.579281i | ||||
\(592\) | 1.17750 | + | 4.39450i | 0.0483950 | + | 0.180613i | ||||
\(593\) | −16.7775 | + | 4.49553i | −0.688971 | + | 0.184609i | −0.586285 | − | 0.810105i | \(-0.699410\pi\) |
−0.102686 | + | 0.994714i | \(0.532744\pi\) | |||||||
\(594\) | 5.62651 | − | 3.24847i | 0.230859 | − | 0.133286i | ||||
\(595\) | −7.53393 | − | 5.50003i | −0.308861 | − | 0.225479i | ||||
\(596\) | 4.07665 | + | 15.2143i | 0.166986 | + | 0.623200i | ||||
\(597\) | 4.52897 | + | 2.61480i | 0.185358 | + | 0.107017i | ||||
\(598\) | −0.446196 | − | 0.701671i | −0.0182463 | − | 0.0286935i | ||||
\(599\) | −7.18140 | − | 12.4386i | −0.293424 | − | 0.508226i | 0.681193 | − | 0.732104i | \(-0.261461\pi\) |
−0.974617 | + | 0.223878i | \(0.928128\pi\) | |||||||
\(600\) | 11.8558 | + | 3.17674i | 0.484010 | + | 0.129690i | ||||
\(601\) | −7.65598 | − | 4.42018i | −0.312294 | − | 0.180303i | 0.335659 | − | 0.941984i | \(-0.391041\pi\) |
−0.647952 | + | 0.761681i | \(0.724374\pi\) | |||||||
\(602\) | −3.35470 | + | 31.2320i | −0.136727 | + | 1.27292i | ||||
\(603\) | 7.19137 | + | 7.19137i | 0.292855 | + | 0.292855i | ||||
\(604\) | 17.6909 | + | 17.6909i | 0.719833 | + | 0.719833i | ||||
\(605\) | −29.4044 | + | 7.87889i | −1.19546 | + | 0.320322i | ||||
\(606\) | 2.29474 | + | 0.614874i | 0.0932175 | + | 0.0249776i | ||||
\(607\) | − | 27.1962i | − | 1.10386i | −0.833890 | − | 0.551930i | \(-0.813891\pi\) | ||
0.833890 | − | 0.551930i | \(-0.186109\pi\) | |||||||
\(608\) | 3.19666 | − | 5.53678i | 0.129642 | − | 0.224546i | ||||
\(609\) | −7.71911 | − | 9.57691i | −0.312794 | − | 0.388076i | ||||
\(610\) | 2.29085i | 0.0927539i | ||||||||
\(611\) | −6.62702 | + | 4.21415i | −0.268100 | + | 0.170486i | ||||
\(612\) | −3.31012 | + | 1.91110i | −0.133804 | + | 0.0772516i | ||||
\(613\) | 31.3428 | + | 31.3428i | 1.26593 | + | 1.26593i | 0.948174 | + | 0.317751i | \(0.102928\pi\) |
0.317751 | + | 0.948174i | \(0.397072\pi\) | |||||||
\(614\) | 12.5717 | − | 7.25828i | 0.507353 | − | 0.292920i | ||||
\(615\) | −4.54346 | − | 7.86951i | −0.183210 | − | 0.317329i | ||||
\(616\) | −18.7372 | + | 48.4811i | −0.754944 | + | 1.95336i | ||||
\(617\) | −7.15534 | + | 26.7041i | −0.288063 | + | 1.07507i | 0.658509 | + | 0.752573i | \(0.271188\pi\) |
−0.946572 | + | 0.322493i | \(0.895479\pi\) | |||||||
\(618\) | −2.02705 | + | 2.02705i | −0.0815398 | + | 0.0815398i | ||||
\(619\) | −10.1905 | + | 38.0315i | −0.409591 | + | 1.52861i | 0.385838 | + | 0.922567i | \(0.373912\pi\) |
−0.795429 | + | 0.606047i | \(0.792754\pi\) | |||||||
\(620\) | −3.67853 | + | 6.37141i | −0.147734 | + | 0.255882i | ||||
\(621\) | −0.116706 | − | 0.202140i | −0.00468324 | − | 0.00811161i | ||||
\(622\) | −12.1922 | + | 3.26689i | −0.488863 | + | 0.130990i | ||||
\(623\) | 6.36523 | − | 8.71908i | 0.255018 | − | 0.349322i | ||||
\(624\) | 2.20513 | − | 2.40247i | 0.0882757 | − | 0.0961757i | ||||
\(625\) | 6.20963 | − | 10.7554i | 0.248385 | − | 0.430216i | ||||
\(626\) | 9.92861 | − | 9.92861i | 0.396827 | − | 0.396827i | ||||
\(627\) | −8.27280 | −0.330384 | ||||||||
\(628\) | 9.67233 | 0.385968 | ||||||||
\(629\) | −13.2796 | + | 13.2796i | −0.529493 | + | 0.529493i | ||||
\(630\) | 2.30259 | + | 0.889915i | 0.0917373 | + | 0.0354551i | ||||
\(631\) | 7.08811 | + | 1.89925i | 0.282173 | + | 0.0756081i | 0.397130 | − | 0.917762i | \(-0.370006\pi\) |
−0.114957 | + | 0.993371i | \(0.536673\pi\) | |||||||
\(632\) | 1.45706 | + | 5.43782i | 0.0579588 | + | 0.216305i | ||||
\(633\) | 9.62266 | + | 5.55565i | 0.382466 | + | 0.220817i | ||||
\(634\) | − | 18.4841i | − | 0.734096i | ||||||
\(635\) | −2.38358 | + | 8.89564i | −0.0945895 | + | 0.353013i | ||||
\(636\) | −4.17861 | −0.165693 | ||||||||
\(637\) | 22.9096 | + | 10.5901i | 0.907711 | + | 0.419595i | ||||
\(638\) | −30.2052 | −1.19583 | ||||||||
\(639\) | −0.433350 | + | 1.61728i | −0.0171431 | + | 0.0639787i | ||||
\(640\) | − | 3.22481i | − | 0.127472i | ||||||
\(641\) | 29.1101 | + | 16.8067i | 1.14978 | + | 0.663826i | 0.948834 | − | 0.315777i | \(-0.102265\pi\) |
0.200946 | + | 0.979602i | \(0.435598\pi\) | |||||||
\(642\) | 2.83451 | + | 10.5785i | 0.111869 | + | 0.417501i | ||||
\(643\) | −22.8004 | − | 6.10935i | −0.899160 | − | 0.240929i | −0.220504 | − | 0.975386i | \(-0.570770\pi\) |
−0.678655 | + | 0.734457i | \(0.737437\pi\) | |||||||
\(644\) | 0.589703 | + | 0.227911i | 0.0232376 | + | 0.00898096i | ||||
\(645\) | −8.02346 | + | 8.02346i | −0.315924 | + | 0.315924i | ||||
\(646\) | −4.64117 | −0.182604 | ||||||||
\(647\) | 1.02762 | 0.0403998 | 0.0201999 | − | 0.999796i | \(-0.493570\pi\) | ||||
0.0201999 | + | 0.999796i | \(0.493570\pi\) | |||||||
\(648\) | 2.11257 | − | 2.11257i | 0.0829897 | − | 0.0829897i | ||||
\(649\) | 24.5364 | − | 42.4983i | 0.963139 | − | 1.66821i | ||||
\(650\) | −7.85349 | − | 12.3501i | −0.308039 | − | 0.484411i | ||||
\(651\) | 11.8720 | − | 16.2623i | 0.465302 | − | 0.637369i | ||||
\(652\) | 18.6233 | − | 4.99009i | 0.729343 | − | 0.195427i | ||||
\(653\) | −11.2342 | − | 19.4582i | −0.439628 | − | 0.761458i | 0.558033 | − | 0.829819i | \(-0.311556\pi\) |
−0.997661 | + | 0.0683609i | \(0.978223\pi\) | |||||||
\(654\) | −3.58843 | + | 6.21535i | −0.140319 | + | 0.243039i | ||||
\(655\) | 4.15604 | − | 15.5105i | 0.162390 | − | 0.606047i | ||||
\(656\) | −6.15420 | + | 6.15420i | −0.240281 | + | 0.240281i | ||||
\(657\) | 2.10388 | − | 7.85180i | 0.0820803 | − | 0.306328i | ||||
\(658\) | −2.05268 | + | 5.31115i | −0.0800217 | + | 0.207050i | ||||
\(659\) | −15.3326 | − | 26.5569i | −0.597275 | − | 1.03451i | −0.993222 | − | 0.116237i | \(-0.962917\pi\) |
0.395947 | − | 0.918273i | \(-0.370416\pi\) | |||||||
\(660\) | −5.50511 | + | 3.17838i | −0.214286 | + | 0.123718i | ||||
\(661\) | −24.4206 | − | 24.4206i | −0.949852 | − | 0.949852i | 0.0489491 | − | 0.998801i | \(-0.484413\pi\) |
−0.998801 | + | 0.0489491i | \(0.984413\pi\) | |||||||
\(662\) | −3.37847 | + | 1.95056i | −0.131308 | + | 0.0758107i | ||||
\(663\) | 13.1400 | + | 2.92450i | 0.510314 | + | 0.113578i | ||||
\(664\) | − | 42.0412i | − | 1.63151i | ||||||
\(665\) | −1.97258 | − | 2.44734i | −0.0764935 | − | 0.0949036i | ||||
\(666\) | 2.48503 | − | 4.30419i | 0.0962928 | − | 0.166784i | ||||
\(667\) | 1.08516i | 0.0420177i | ||||||||
\(668\) | −22.6870 | − | 6.07898i | −0.877788 | − | 0.235203i | ||||
\(669\) | −26.5785 | + | 7.12168i | −1.02758 | + | 0.275340i | ||||
\(670\) | 6.70979 | + | 6.70979i | 0.259222 | + | 0.259222i | ||||
\(671\) | 11.4159 | + | 11.4159i | 0.440708 | + | 0.440708i | ||||
\(672\) | −1.43586 | + | 13.3678i | −0.0553895 | + | 0.515673i | ||||
\(673\) | 27.9964 | + | 16.1637i | 1.07918 | + | 0.623066i | 0.930675 | − | 0.365846i | \(-0.119220\pi\) |
0.148506 | + | 0.988912i | \(0.452554\pi\) | |||||||
\(674\) | 14.4535 | + | 3.87281i | 0.556729 | + | 0.149175i | ||||
\(675\) | −2.05414 | − | 3.55787i | −0.0790637 | − | 0.136942i | ||||
\(676\) | 13.2600 | − | 1.13793i | 0.509998 | − | 0.0437664i | ||||
\(677\) | −25.7232 | − | 14.8513i | −0.988623 | − | 0.570782i | −0.0837606 | − | 0.996486i | \(-0.526693\pi\) |
−0.904862 | + | 0.425704i | \(0.860026\pi\) | |||||||
\(678\) | −0.309102 | − | 1.15359i | −0.0118710 | − | 0.0443032i | ||||
\(679\) | −5.34713 | − | 3.90359i | −0.205204 | − | 0.149806i | ||||
\(680\) | −9.12208 | + | 5.26664i | −0.349816 | + | 0.201966i | ||||
\(681\) | −11.3401 | + | 3.03858i | −0.434554 | + | 0.116439i | ||||
\(682\) | −12.7968 | − | 47.7583i | −0.490015 | − | 1.82876i | ||||
\(683\) | 4.83332 | + | 18.0382i | 0.184942 | + | 0.690213i | 0.994643 | + | 0.103370i | \(0.0329626\pi\) |
−0.809701 | + | 0.586843i | \(0.800371\pi\) | |||||||
\(684\) | −1.24412 | + | 0.333360i | −0.0475700 | + | 0.0127463i | ||||
\(685\) | −3.92244 | + | 2.26462i | −0.149869 | + | 0.0865267i | ||||
\(686\) | 17.9248 | − | 3.68196i | 0.684372 | − | 0.140578i | ||||
\(687\) | −3.62802 | − | 13.5399i | −0.138417 | − | 0.516581i | ||||
\(688\) | 9.41190 | + | 5.43396i | 0.358825 | + | 0.207168i | ||||
\(689\) | 10.8420 | + | 9.95147i | 0.413049 | + | 0.379121i | ||||
\(690\) | −0.108890 | − | 0.188604i | −0.00414539 | − | 0.00718002i | ||||
\(691\) | 10.7277 | + | 2.87447i | 0.408100 | + | 0.109350i | 0.457028 | − | 0.889452i | \(-0.348914\pi\) |
−0.0489282 | + | 0.998802i | \(0.515581\pi\) | |||||||
\(692\) | 7.61408 | + | 4.39599i | 0.289444 | + | 0.167110i | ||||
\(693\) | 15.9091 | − | 7.03974i | 0.604338 | − | 0.267418i | ||||
\(694\) | 4.74704 | + | 4.74704i | 0.180195 | + | 0.180195i | ||||
\(695\) | −5.38002 | − | 5.38002i | −0.204076 | − | 0.204076i | ||||
\(696\) | −13.4166 | + | 3.59498i | −0.508556 | + | 0.136267i | ||||
\(697\) | −34.7029 | − | 9.29861i | −1.31447 | − | 0.352210i | ||||
\(698\) | 0.386660i | 0.0146353i | ||||||||
\(699\) | −3.04141 | + | 5.26788i | −0.115037 | + | 0.199249i | ||||
\(700\) | 10.3794 | + | 4.01146i | 0.392303 | + | 0.151619i | ||||
\(701\) | 9.68156i | 0.365668i | 0.983144 | + | 0.182834i | \(0.0585270\pi\) | ||||
−0.983144 | + | 0.182834i | \(0.941473\pi\) | |||||||
\(702\) | −3.55922 | + | 0.152440i | −0.134334 | + | 0.00575349i | ||||
\(703\) | −5.48069 | + | 3.16428i | −0.206708 | + | 0.119343i | ||||
\(704\) | 31.7557 | + | 31.7557i | 1.19684 | + | 1.19684i | ||||
\(705\) | −1.78129 | + | 1.02843i | −0.0670872 | + | 0.0387328i | ||||
\(706\) | −9.86512 | − | 17.0869i | −0.371279 | − | 0.643074i | ||||
\(707\) | 5.93373 | + | 2.29329i | 0.223161 | + | 0.0862482i | ||||
\(708\) | 1.97744 | − | 7.37989i | 0.0743166 | − | 0.277353i | ||||
\(709\) | −1.06906 | + | 1.06906i | −0.0401494 | + | 0.0401494i | −0.726896 | − | 0.686747i | \(-0.759038\pi\) |
0.686747 | + | 0.726896i | \(0.259038\pi\) | |||||||
\(710\) | −0.404330 | + | 1.50898i | −0.0151742 | + | 0.0566310i | ||||
\(711\) | 0.942160 | − | 1.63187i | 0.0353338 | − | 0.0611999i | ||||
\(712\) | −6.09512 | − | 10.5571i | −0.228424 | − | 0.395643i | ||||
\(713\) | −1.71578 | + | 0.459743i | −0.0642566 | + | 0.0172175i | ||||
\(714\) | 8.92527 | − | 3.94940i | 0.334020 | − | 0.147803i | ||||
\(715\) | 21.8533 | + | 4.86378i | 0.817266 | + | 0.181895i | ||||
\(716\) | −6.98028 | + | 12.0902i | −0.260865 | + | 0.451832i | ||||
\(717\) | 3.72605 | − | 3.72605i | 0.139152 | − | 0.139152i | ||||
\(718\) | −27.3870 | −1.02207 | ||||||||
\(719\) | 27.7174 | 1.03368 | 0.516842 | − | 0.856081i | \(-0.327108\pi\) | ||||
0.516842 | + | 0.856081i | \(0.327108\pi\) | |||||||
\(720\) | 0.603930 | − | 0.603930i | 0.0225071 | − | 0.0225071i | ||||
\(721\) | −5.97654 | + | 4.81717i | −0.222578 | + | 0.179401i | ||||
\(722\) | 16.6227 | + | 4.45404i | 0.618632 | + | 0.165762i | ||||
\(723\) | −6.94938 | − | 25.9354i | −0.258450 | − | 0.964549i | ||||
\(724\) | −9.97910 | − | 5.76143i | −0.370870 | − | 0.214122i | ||||
\(725\) | 19.0999i | 0.709354i | ||||||||
\(726\) | 8.24386 | − | 30.7665i | 0.305958 | − | 1.14185i | ||||
\(727\) | 29.0510 | 1.07744 | 0.538721 | − | 0.842484i | \(-0.318908\pi\) | ||||
0.538721 | + | 0.842484i | \(0.318908\pi\) | |||||||
\(728\) | 21.4040 | − | 18.8183i | 0.793286 | − | 0.697452i | ||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | 1.96299 | − | 7.32600i | 0.0726537 | − | 0.271147i | ||||
\(731\) | 44.8623i | 1.65929i | ||||||||
\(732\) | 2.17682 | + | 1.25679i | 0.0804576 | + | 0.0464522i | ||||
\(733\) | 8.78993 | + | 32.8045i | 0.324663 | + | 1.21166i | 0.914650 | + | 0.404247i | \(0.132466\pi\) |
−0.589986 | + | 0.807413i | \(0.700867\pi\) | |||||||
\(734\) | 6.37441 | + | 1.70802i | 0.235284 | + | 0.0630441i | ||||
\(735\) | 5.87597 | + | 3.02781i | 0.216738 | + | 0.111683i | ||||
\(736\) | 0.838703 | − | 0.838703i | 0.0309150 | − | 0.0309150i | ||||
\(737\) | 66.8735 | 2.46332 | ||||||||
\(738\) | 9.50785 | 0.349989 | ||||||||
\(739\) | 9.73435 | − | 9.73435i | 0.358084 | − | 0.358084i | −0.505022 | − | 0.863106i | \(-0.668516\pi\) |
0.863106 | + | 0.505022i | \(0.168516\pi\) | |||||||
\(740\) | −2.43141 | + | 4.21132i | −0.0893803 | + | 0.154811i | ||||
\(741\) | 4.02196 | + | 2.09794i | 0.147750 | + | 0.0770699i | ||||
\(742\) | 10.6091 | + | 1.13955i | 0.389472 | + | 0.0418340i | ||||
\(743\) | −30.3940 | + | 8.14404i | −1.11505 | + | 0.298776i | −0.768878 | − | 0.639396i | \(-0.779184\pi\) |
−0.346169 | + | 0.938172i | \(0.612518\pi\) | |||||||
\(744\) | −11.3682 | − | 19.6904i | −0.416780 | − | 0.721884i | ||||
\(745\) | 7.26442 | − | 12.5823i | 0.266148 | − | 0.460981i | ||||
\(746\) | 0.257288 | − | 0.960210i | 0.00941997 | − | 0.0351558i | ||||
\(747\) | −9.95023 | + | 9.95023i | −0.364060 | + | 0.364060i | ||||
\(748\) | −6.50483 | + | 24.2764i | −0.237840 | + | 0.887632i | ||||
\(749\) | 4.52145 | + | 28.9751i | 0.165210 | + | 1.05873i | ||||
\(750\) | −4.24916 | − | 7.35977i | −0.155158 | − | 0.268741i | ||||
\(751\) | 22.9765 | − | 13.2655i | 0.838423 | − | 0.484064i | −0.0183050 | − | 0.999832i | \(-0.505827\pi\) |
0.856728 | + | 0.515769i | \(0.172494\pi\) | |||||||
\(752\) | 1.39302 | + | 1.39302i | 0.0507983 | + | 0.0507983i | ||||
\(753\) | −11.2292 | + | 6.48321i | −0.409217 | + | 0.236261i | ||||
\(754\) | 14.6848 | + | 7.65990i | 0.534788 | + | 0.278957i | ||||
\(755\) | − | 23.0775i | − | 0.839876i | ||||||
\(756\) | 2.10884 | − | 1.69975i | 0.0766979 | − | 0.0618195i | ||||
\(757\) | 7.38184 | − | 12.7857i | 0.268298 | − | 0.464705i | −0.700125 | − | 0.714021i | \(-0.746872\pi\) |
0.968422 | + | 0.249315i | \(0.0802056\pi\) | |||||||
\(758\) | 21.1143i | 0.766908i | ||||||||
\(759\) | −1.48249 | − | 0.397233i | −0.0538111 | − | 0.0144186i | ||||
\(760\) | −3.42856 | + | 0.918680i | −0.124367 | + | 0.0333240i | ||||
\(761\) | 23.1965 | + | 23.1965i | 0.840873 | + | 0.840873i | 0.988972 | − | 0.148100i | \(-0.0473156\pi\) |
−0.148100 | + | 0.988972i | \(0.547316\pi\) | |||||||
\(762\) | −6.81371 | − | 6.81371i | −0.246835 | − | 0.246835i | ||||
\(763\) | −11.3314 | + | 15.5217i | −0.410223 | + | 0.561922i | ||||
\(764\) | 10.1042 | + | 5.83367i | 0.365558 | + | 0.211055i | ||||
\(765\) | 3.40550 | + | 0.912500i | 0.123126 | + | 0.0329915i | ||||
\(766\) | −11.2880 | − | 19.5513i | −0.407850 | − | 0.706418i | ||||
\(767\) | −22.7062 | + | 14.4390i | −0.819873 | + | 0.521361i | ||||
\(768\) | 14.7517 | + | 8.51691i | 0.532307 | + | 0.307328i | ||||
\(769\) | 1.79577 | + | 6.70191i | 0.0647572 | + | 0.241677i | 0.990716 | − | 0.135947i | \(-0.0434078\pi\) |
−0.925959 | + | 0.377624i | \(0.876741\pi\) | |||||||
\(770\) | 14.8437 | − | 6.56832i | 0.534932 | − | 0.236706i | ||||
\(771\) | −16.0849 | + | 9.28663i | −0.579284 | + | 0.334450i | ||||
\(772\) | −2.45551 | + | 0.657953i | −0.0883759 | + | 0.0236802i | ||||
\(773\) | −0.260414 | − | 0.971880i | −0.00936645 | − | 0.0349561i | 0.961084 | − | 0.276255i | \(-0.0890933\pi\) |
−0.970451 | + | 0.241299i | \(0.922427\pi\) | |||||||
\(774\) | −3.07283 | − | 11.4680i | −0.110451 | − | 0.412207i | ||||
\(775\) | −30.1995 | + | 8.09193i | −1.08480 | + | 0.290671i | ||||
\(776\) | −6.47431 | + | 3.73794i | −0.232414 | + | 0.134184i | ||||
\(777\) | 7.84708 | − | 10.7489i | 0.281512 | − | 0.385615i | ||||
\(778\) | 5.11020 | + | 19.0715i | 0.183209 | + | 0.683747i | ||||
\(779\) | −10.4847 | − | 6.05336i | −0.375654 | − | 0.216884i | ||||
\(780\) | 3.48243 | − | 0.149151i | 0.124691 | − | 0.00534047i | ||||
\(781\) | 5.50477 | + | 9.53455i | 0.196976 | + | 0.341173i | ||||
\(782\) | −0.831702 | − | 0.222854i | −0.0297416 | − | 0.00796924i | ||||
\(783\) | 4.02628 | + | 2.32457i | 0.143887 | + | 0.0830734i | ||||
\(784\) | 1.34457 | − | 6.18674i | 0.0480205 | − | 0.220955i | ||||
\(785\) | −6.30870 | − | 6.30870i | −0.225167 | − | 0.225167i | ||||
\(786\) | 11.8805 | + | 11.8805i | 0.423762 | + | 0.423762i | ||||
\(787\) | −38.2900 | + | 10.2598i | −1.36489 | + | 0.365721i | −0.865610 | − | 0.500719i | \(-0.833069\pi\) |
−0.499281 | + | 0.866440i | \(0.666402\pi\) | |||||||
\(788\) | −14.4170 | − | 3.86303i | −0.513585 | − | 0.137615i | ||||
\(789\) | − | 8.66221i | − | 0.308383i | ||||||
\(790\) | 0.879067 | − | 1.52259i | 0.0312758 | − | 0.0541713i | ||||
\(791\) | −0.493063 | − | 3.15973i | −0.0175313 | − | 0.112347i | ||||
\(792\) | − | 19.6451i | − | 0.698058i | ||||||
\(793\) | −2.65502 | − | 8.44509i | −0.0942827 | − | 0.299894i | ||||
\(794\) | 21.4026 | − | 12.3568i | 0.759549 | − | 0.438526i | ||||
\(795\) | 2.72546 | + | 2.72546i | 0.0966622 | + | 0.0966622i | ||||
\(796\) | 4.63651 | − | 2.67689i | 0.164337 | − | 0.0948799i | ||||
\(797\) | 18.4889 | + | 32.0238i | 0.654912 | + | 1.13434i | 0.981916 | + | 0.189318i | \(0.0606276\pi\) |
−0.327004 | + | 0.945023i | \(0.606039\pi\) | |||||||
\(798\) | 3.24961 | − | 0.507089i | 0.115035 | − | 0.0179508i | ||||
\(799\) | −2.10477 | + | 7.85511i | −0.0744614 | + | 0.277894i | ||||
\(800\) | 14.7620 | − | 14.7620i | 0.521916 | − | 0.521916i | ||||
\(801\) | −1.05604 | + | 3.94121i | −0.0373135 | + | 0.139256i | ||||
\(802\) | −0.694751 | + | 1.20334i | −0.0245325 | + | 0.0424915i | ||||
\(803\) | −26.7253 | − | 46.2896i | −0.943115 | − | 1.63352i | ||||
\(804\) | 10.0569 | − | 2.69473i | 0.354678 | − | 0.0950358i | ||||
\(805\) | −0.235976 | − | 0.533282i | −0.00831706 | − | 0.0187957i | ||||
\(806\) | −5.88991 | + | 26.4637i | −0.207463 | + | 0.932145i | ||||
\(807\) | 3.64486 | − | 6.31308i | 0.128305 | − | 0.222231i | ||||
\(808\) | 5.07949 | − | 5.07949i | 0.178696 | − | 0.178696i | ||||
\(809\) | 19.6908 | 0.692293 | 0.346146 | − | 0.938181i | \(-0.387490\pi\) | ||||
0.346146 | + | 0.938181i | \(0.387490\pi\) | |||||||
\(810\) | −0.933034 | −0.0327835 | ||||||||
\(811\) | 25.0100 | − | 25.0100i | 0.878220 | − | 0.878220i | −0.115131 | − | 0.993350i | \(-0.536729\pi\) |
0.993350 | + | 0.115131i | \(0.0367287\pi\) | |||||||
\(812\) | −12.4420 | + | 1.94152i | −0.436628 | + | 0.0681341i | ||||
\(813\) | 22.6974 | + | 6.08174i | 0.796032 | + | 0.213296i | ||||
\(814\) | −8.45832 | − | 31.5669i | −0.296464 | − | 1.10642i | ||||
\(815\) | −15.4016 | − | 8.89213i | −0.539495 | − | 0.311478i | ||||
\(816\) | − | 3.37681i | − | 0.118212i | ||||||
\(817\) | −3.91275 | + | 14.6026i | −0.136890 | + | 0.510880i | ||||
\(818\) | −2.74007 | −0.0958042 | ||||||||
\(819\) | −9.51974 | − | 0.611992i | −0.332647 | − | 0.0213847i | ||||
\(820\) | −9.30270 | −0.324865 | ||||||||
\(821\) | −1.60713 | + | 5.99790i | −0.0560893 | + | 0.209328i | −0.988283 | − | 0.152631i | \(-0.951225\pi\) |
0.932194 | + | 0.361959i | \(0.117892\pi\) | |||||||
\(822\) | − | 4.73904i | − | 0.165293i | ||||||
\(823\) | −2.18495 | − | 1.26148i | −0.0761627 | − | 0.0439726i | 0.461435 | − | 0.887174i | \(-0.347335\pi\) |
−0.537598 | + | 0.843201i | \(0.680668\pi\) | |||||||
\(824\) | 2.24347 | + | 8.37275i | 0.0781550 | + | 0.291679i | ||||
\(825\) | −26.0934 | − | 6.99170i | −0.908454 | − | 0.243420i | ||||
\(826\) | −7.03310 | + | 18.1976i | −0.244713 | + | 0.633176i | ||||
\(827\) | 36.7114 | − | 36.7114i | 1.27658 | − | 1.27658i | 0.334011 | − | 0.942569i | \(-0.391598\pi\) |
0.942569 | − | 0.334011i | \(-0.108402\pi\) | |||||||
\(828\) | −0.238954 | −0.00830422 | ||||||||
\(829\) | 26.2330 | 0.911111 | 0.455555 | − | 0.890207i | \(-0.349441\pi\) | ||||
0.455555 | + | 0.890207i | \(0.349441\pi\) | |||||||
\(830\) | −9.28390 | + | 9.28390i | −0.322249 | + | 0.322249i | ||||
\(831\) | 1.22578 | − | 2.12311i | 0.0425218 | − | 0.0736499i | ||||
\(832\) | −7.38547 | − | 23.4917i | −0.256045 | − | 0.814427i | ||||
\(833\) | 24.8922 | − | 7.96257i | 0.862465 | − | 0.275887i | ||||
\(834\) | 7.68967 | − | 2.06044i | 0.266272 | − | 0.0713472i | ||||
\(835\) | 10.8325 | + | 18.7624i | 0.374873 | + | 0.649300i | ||||
\(836\) | −4.23462 | + | 7.33458i | −0.146457 | + | 0.253672i | ||||
\(837\) | −1.96967 | + | 7.35090i | −0.0680817 | + | 0.254084i | ||||
\(838\) | −13.5094 | + | 13.5094i | −0.466674 | + | 0.466674i | ||||
\(839\) | −9.29570 | + | 34.6920i | −0.320923 | + | 1.19770i | 0.597424 | + | 0.801926i | \(0.296191\pi\) |
−0.918347 | + | 0.395776i | \(0.870476\pi\) | |||||||
\(840\) | 5.81159 | − | 4.68422i | 0.200519 | − | 0.161621i | ||||
\(841\) | 3.69273 | + | 6.39600i | 0.127336 | + | 0.220552i | ||||
\(842\) | 2.90951 | − | 1.67981i | 0.100268 | − | 0.0578900i | ||||
\(843\) | −9.26224 | − | 9.26224i | −0.319009 | − | 0.319009i | ||||
\(844\) | 9.85116 | − | 5.68757i | 0.339091 | − | 0.195774i | ||||
\(845\) | −9.39091 | − | 7.90650i | −0.323057 | − | 0.271992i | ||||
\(846\) | − | 2.15213i | − | 0.0739919i | ||||||
\(847\) | 30.7471 | − | 79.5558i | 1.05648 | − | 2.73357i | ||||
\(848\) | 1.84584 | − | 3.19709i | 0.0633865 | − | 0.109789i | ||||
\(849\) | 0.575760i | 0.0197600i | ||||||||
\(850\) | −14.6388 | − | 3.92245i | −0.502106 | − | 0.134539i | ||||
\(851\) | −1.13408 | + | 0.303877i | −0.0388759 | + | 0.0104168i | ||||
\(852\) | 1.21205 | + | 1.21205i | 0.0415241 | + | 0.0415241i | ||||
\(853\) | −0.749751 | − | 0.749751i | −0.0256710 | − | 0.0256710i | 0.694155 | − | 0.719826i | \(-0.255778\pi\) |
−0.719826 | + | 0.694155i | \(0.755778\pi\) | |||||||
\(854\) | −5.18401 | − | 3.78451i | −0.177393 | − | 0.129503i | ||||
\(855\) | 1.02890 | + | 0.594034i | 0.0351875 | + | 0.0203155i | ||||
\(856\) | 31.9868 | + | 8.57083i | 1.09329 | + | 0.292945i | ||||
\(857\) | 1.48116 | + | 2.56544i | 0.0505953 | + | 0.0876336i | 0.890214 | − | 0.455543i | \(-0.150555\pi\) |
−0.839619 | + | 0.543176i | \(0.817221\pi\) | |||||||
\(858\) | −15.8400 | + | 17.2576i | −0.540770 | + | 0.589165i | ||||
\(859\) | 20.5020 | + | 11.8368i | 0.699518 | + | 0.403867i | 0.807168 | − | 0.590322i | \(-0.200999\pi\) |
−0.107650 | + | 0.994189i | \(0.534333\pi\) | |||||||
\(860\) | 3.00653 | + | 11.2205i | 0.102522 | + | 0.382616i | ||||
\(861\) | 25.3139 | + | 2.71902i | 0.862695 | + | 0.0926638i | ||||
\(862\) | −0.593540 | + | 0.342681i | −0.0202161 | + | 0.0116717i | ||||
\(863\) | −18.8188 | + | 5.04247i | −0.640598 | + | 0.171648i | −0.564474 | − | 0.825451i | \(-0.690921\pi\) |
−0.0761238 | + | 0.997098i | \(0.524254\pi\) | |||||||
\(864\) | −1.31522 | − | 4.90846i | −0.0447446 | − | 0.166989i | ||||
\(865\) | −2.09897 | − | 7.83347i | −0.0713672 | − | 0.266346i | ||||
\(866\) | −20.0696 | + | 5.37764i | −0.681994 | + | 0.182740i | ||||
\(867\) | −2.65063 | + | 1.53034i | −0.0900201 | + | 0.0519731i | ||||
\(868\) | −8.34100 | − | 18.8498i | −0.283112 | − | 0.639806i | ||||
\(869\) | −3.20684 | − | 11.9681i | −0.108785 | − | 0.405990i | ||||
\(870\) | 3.75665 | + | 2.16890i | 0.127362 | + | 0.0735327i | ||||
\(871\) | −32.5117 | − | 16.9588i | −1.10162 | − | 0.574628i | ||||
\(872\) | 10.8505 | + | 18.7936i | 0.367445 | + | 0.636433i | ||||
\(873\) | 2.41702 | + | 0.647638i | 0.0818036 | + | 0.0219192i | ||||
\(874\) | −0.251281 | − | 0.145077i | −0.00849970 | − | 0.00490730i | ||||
\(875\) | −9.20834 | − | 20.8100i | −0.311299 | − | 0.703505i | ||||
\(876\) | −5.88441 | − | 5.88441i | −0.198816 | − | 0.198816i | ||||
\(877\) | 24.3318 | + | 24.3318i | 0.821626 | + | 0.821626i | 0.986341 | − | 0.164715i | \(-0.0526704\pi\) |
−0.164715 | + | 0.986341i | \(0.552670\pi\) | |||||||
\(878\) | −21.7827 | + | 5.83666i | −0.735131 | + | 0.196978i | ||||
\(879\) | 16.9291 | + | 4.53613i | 0.571003 | + | 0.153000i | ||||
\(880\) | − | 5.61602i | − | 0.189316i | ||||||
\(881\) | 16.0850 | − | 27.8600i | 0.541918 | − | 0.938629i | −0.456876 | − | 0.889530i | \(-0.651032\pi\) |
0.998794 | − | 0.0490986i | \(-0.0156348\pi\) | |||||||
\(882\) | −5.81770 | + | 3.74042i | −0.195892 | + | 0.125947i | ||||
\(883\) | − | 24.5604i | − | 0.826522i | −0.910613 | − | 0.413261i | \(-0.864390\pi\) | ||
0.910613 | − | 0.413261i | \(-0.135610\pi\) | |||||||
\(884\) | 9.31882 | − | 10.1528i | 0.313426 | − | 0.341475i | ||||
\(885\) | −6.10324 | + | 3.52371i | −0.205158 | + | 0.118448i | ||||
\(886\) | 11.7198 | + | 11.7198i | 0.393734 | + | 0.393734i | ||||
\(887\) | −18.9519 | + | 10.9419i | −0.636343 | + | 0.367393i | −0.783204 | − | 0.621764i | \(-0.786416\pi\) |
0.146861 | + | 0.989157i | \(0.453083\pi\) | |||||||
\(888\) | −7.51409 | − | 13.0148i | −0.252156 | − | 0.436748i | ||||
\(889\) | −16.1924 | − | 20.0895i | −0.543076 | − | 0.673781i | ||||
\(890\) | −0.985325 | + | 3.67728i | −0.0330282 | + | 0.123263i | ||||
\(891\) | −4.64956 | + | 4.64956i | −0.155766 | + | 0.155766i | ||||
\(892\) | −7.29080 | + | 27.2096i | −0.244114 | + | 0.911045i | ||||
\(893\) | −1.37020 | + | 2.37325i | −0.0458519 | + | 0.0794178i | ||||
\(894\) | 7.60092 | + | 13.1652i | 0.254213 | + | 0.440310i | ||||
\(895\) | 12.4386 | − | 3.33290i | 0.415775 | − | 0.111407i | ||||
\(896\) | 7.29748 | + | 5.32742i | 0.243792 | + | 0.177976i | ||||
\(897\) | 0.620004 | + | 0.569076i | 0.0207013 | + | 0.0190009i | ||||
\(898\) | 7.57109 | − | 13.1135i | 0.252651 | − | 0.437604i | ||||
\(899\) | 25.0181 | − | 25.0181i | 0.834401 | − | 0.834401i | ||||
\(900\) | −4.20583 | −0.140194 | ||||||||
\(901\) | 15.2391 | 0.507689 | ||||||||
\(902\) | 44.2074 | − | 44.2074i | 1.47194 | − | 1.47194i | ||||
\(903\) | −4.90161 | − | 31.4113i | −0.163115 | − | 1.04530i | ||||
\(904\) | −3.48815 | − | 0.934647i | −0.116014 | − | 0.0310859i | ||||
\(905\) | 2.75094 | + | 10.2666i | 0.0914442 | + | 0.341275i | ||||
\(906\) | 20.9115 | + | 12.0732i | 0.694737 | + | 0.401107i | ||||
\(907\) | − | 1.56364i | − | 0.0519198i | −0.999663 | − | 0.0259599i | \(-0.991736\pi\) | ||
0.999663 | − | 0.0259599i | \(-0.00826422\pi\) | |||||||
\(908\) | −3.11073 | + | 11.6094i | −0.103233 | + | 0.385272i | ||||
\(909\) | −2.40441 | −0.0797493 | ||||||||
\(910\) | −8.88224 | − | 0.571009i | −0.294443 | − | 0.0189288i | ||||
\(911\) | 27.1812 | 0.900555 | 0.450277 | − | 0.892889i | \(-0.351325\pi\) | ||||
0.450277 | + | 0.892889i | \(0.351325\pi\) | |||||||
\(912\) | 0.294515 | − | 1.09914i | 0.00975236 | − | 0.0363963i | ||||
\(913\) | 92.5284i | 3.06224i | ||||||||
\(914\) | 11.9167 | + | 6.88013i | 0.394171 | + | 0.227574i | ||||
\(915\) | −0.600084 | − | 2.23954i | −0.0198382 | − | 0.0740370i | ||||
\(916\) | −13.8615 | − | 3.71417i | −0.457996 | − | 0.122720i | ||||
\(917\) | 28.2333 | + | 35.0283i | 0.932345 | + | 1.15674i | ||||
\(918\) | −2.60848 | + | 2.60848i | −0.0860926 | + | 0.0860926i | ||||
\(919\) | −52.1835 | −1.72137 | −0.860687 | − | 0.509134i | \(-0.829966\pi\) | ||||
−0.860687 | + | 0.509134i | \(0.829966\pi\) | |||||||
\(920\) | −0.658514 | −0.0217106 | ||||||||
\(921\) | −10.3888 | + | 10.3888i | −0.342324 | + | 0.342324i | ||||
\(922\) | −7.82204 | + | 13.5482i | −0.257605 | + | 0.446185i | ||||
\(923\) | −0.258322 | − | 6.03137i | −0.00850276 | − | 0.198525i | ||||
\(924\) | 1.90209 | − | 17.7083i | 0.0625740 | − | 0.582561i | ||||
\(925\) | −19.9610 | + | 5.34854i | −0.656314 | + | 0.175859i | ||||
\(926\) | −18.3537 | − | 31.7896i | −0.603141 | − | 1.04467i | ||||
\(927\) | 1.45067 | − | 2.51263i | 0.0476461 | − | 0.0825256i | ||||
\(928\) | −6.11463 | + | 22.8201i | −0.200723 | + | 0.749107i | ||||
\(929\) | 19.3280 | − | 19.3280i | 0.634133 | − | 0.634133i | −0.314969 | − | 0.949102i | \(-0.601994\pi\) |
0.949102 | + | 0.314969i | \(0.101994\pi\) | |||||||
\(930\) | −1.83777 | + | 6.85864i | −0.0602627 | + | 0.224904i | ||||
\(931\) | 8.79685 | − | 0.420773i | 0.288305 | − | 0.0137903i | ||||
\(932\) | 3.11363 | + | 5.39297i | 0.101990 | + | 0.176653i | ||||
\(933\) | 11.0634 | − | 6.38744i | 0.362199 | − | 0.209115i | ||||
\(934\) | 23.3091 | + | 23.3091i | 0.762697 | + | 0.762697i | ||||
\(935\) | 20.0768 | − | 11.5913i | 0.656582 | − | 0.379078i | ||||
\(936\) | −4.98191 | + | 9.55080i | −0.162839 | + | 0.312178i | ||||
\(937\) | − | 33.8356i | − | 1.10536i | −0.833393 | − | 0.552680i | \(-0.813605\pi\) | ||
0.833393 | − | 0.552680i | \(-0.186395\pi\) | |||||||
\(938\) | −26.2684 | + | 4.09907i | −0.857692 | + | 0.133839i | ||||
\(939\) | −7.10546 | + | 12.3070i | −0.231878 | + | 0.401624i | ||||
\(940\) | 2.10570i | 0.0686803i | ||||||||
\(941\) | −50.0997 | − | 13.4242i | −1.63320 | − | 0.437615i | −0.678360 | − | 0.734729i | \(-0.737309\pi\) |
−0.954842 | + | 0.297114i | \(0.903976\pi\) | |||||||
\(942\) | 9.01704 | − | 2.41611i | 0.293791 | − | 0.0787211i | ||||
\(943\) | −1.58821 | − | 1.58821i | −0.0517192 | − | 0.0517192i | ||||
\(944\) | 4.77293 | + | 4.77293i | 0.155346 | + | 0.155346i | ||||
\(945\) | −2.48413 | − | 0.266825i | −0.0808087 | − | 0.00867983i | ||||
\(946\) | −67.6083 | − | 39.0337i | −2.19814 | − | 1.26909i | ||||
\(947\) | 31.3506 | + | 8.40036i | 1.01876 | + | 0.272975i | 0.729284 | − | 0.684211i | \(-0.239853\pi\) |
0.289473 | + | 0.957186i | \(0.406520\pi\) | |||||||
\(948\) | −0.964532 | − | 1.67062i | −0.0313266 | − | 0.0542592i | ||||
\(949\) | 1.25413 | + | 29.2819i | 0.0407109 | + | 0.950531i | ||||
\(950\) | −4.42279 | − | 2.55350i | −0.143494 | − | 0.0828465i | ||||
\(951\) | 4.84186 | + | 18.0701i | 0.157008 | + | 0.585962i | ||||
\(952\) | 3.15180 | − | 29.3431i | 0.102150 | − | 0.951014i | ||||
\(953\) | −4.71317 | + | 2.72115i | −0.152675 | + | 0.0881468i | −0.574391 | − | 0.818581i | \(-0.694761\pi\) |
0.421716 | + | 0.906728i | \(0.361428\pi\) | |||||||
\(954\) | −3.89551 | + | 1.04380i | −0.126122 | + | 0.0337942i | ||||
\(955\) | −2.78543 | − | 10.3954i | −0.0901343 | − | 0.336386i | ||||
\(956\) | −1.39622 | − | 5.21075i | −0.0451569 | − | 0.168528i | ||||
\(957\) | 29.5287 | − | 7.91218i | 0.954526 | − | 0.255765i | ||||
\(958\) | 4.54827 | − | 2.62595i | 0.146948 | − | 0.0848405i | ||||
\(959\) | 1.35525 | − | 12.6173i | 0.0437634 | − | 0.407435i | ||||
\(960\) | −1.66925 | − | 6.22973i | −0.0538748 | − | 0.201064i | ||||
\(961\) | 23.3093 | + | 13.4576i | 0.751914 | + | 0.434118i | ||||
\(962\) | −3.89307 | + | 17.4918i | −0.125517 | + | 0.563958i | ||||
\(963\) | −5.54205 | − | 9.59911i | −0.178590 | − | 0.309327i | ||||
\(964\) | −26.5513 | − | 7.11440i | −0.855160 | − | 0.229139i | ||||
\(965\) | 2.03073 | + | 1.17245i | 0.0653717 | + | 0.0377423i | ||||
\(966\) | 0.606683 | + | 0.0651650i | 0.0195197 | + | 0.00209665i | ||||
\(967\) | 17.2286 | + | 17.2286i | 0.554035 | + | 0.554035i | 0.927603 | − | 0.373568i | \(-0.121866\pi\) |
−0.373568 | + | 0.927603i | \(0.621866\pi\) | |||||||
\(968\) | −68.1027 | − | 68.1027i | −2.18890 | − | 2.18890i | ||||
\(969\) | 4.53722 | − | 1.21574i | 0.145756 | − | 0.0390553i | ||||
\(970\) | 2.25516 | + | 0.604268i | 0.0724088 | + | 0.0194019i | ||||
\(971\) | 37.8393i | 1.21432i | 0.794580 | + | 0.607160i | \(0.207691\pi\) | ||||
−0.794580 | + | 0.607160i | \(0.792309\pi\) | |||||||
\(972\) | −0.511873 | + | 0.886590i | −0.0164183 | + | 0.0284374i | ||||
\(973\) | 21.0624 | − | 3.28670i | 0.675229 | − | 0.105367i | ||||
\(974\) | 13.7417i | 0.440312i | ||||||||
\(975\) | 10.9127 | + | 10.0163i | 0.349485 | + | 0.320778i | ||||
\(976\) | −1.92316 | + | 1.11034i | −0.0615589 | + | 0.0355411i | ||||
\(977\) | 42.0348 | + | 42.0348i | 1.34481 | + | 1.34481i | 0.891197 | + | 0.453616i | \(0.149866\pi\) |
0.453616 | + | 0.891197i | \(0.350134\pi\) | |||||||
\(978\) | 16.1151 | − | 9.30403i | 0.515303 | − | 0.297510i | ||||
\(979\) | 13.4148 | + | 23.2350i | 0.428737 | + | 0.742595i | ||||
\(980\) | 5.69218 | − | 3.65972i | 0.181830 | − | 0.116905i | ||||
\(981\) | 1.87996 | − | 7.01612i | 0.0600226 | − | 0.224008i | ||||
\(982\) | −5.43710 | + | 5.43710i | −0.173505 | + | 0.173505i | ||||
\(983\) | 2.63615 | − | 9.83824i | 0.0840800 | − | 0.313791i | −0.911058 | − | 0.412277i | \(-0.864733\pi\) |
0.995138 | + | 0.0984864i | \(0.0314001\pi\) | |||||||
\(984\) | 14.3747 | − | 24.8976i | 0.458248 | − | 0.793708i | ||||
\(985\) | 6.88375 | + | 11.9230i | 0.219335 | + | 0.379899i | ||||
\(986\) | 16.5660 | − | 4.43886i | 0.527570 | − | 0.141362i | ||||
\(987\) | 0.615458 | − | 5.72989i | 0.0195903 | − | 0.182384i | ||||
\(988\) | 3.91875 | − | 2.49195i | 0.124672 | − | 0.0792795i | ||||
\(989\) | −1.40234 | + | 2.42892i | −0.0445918 | + | 0.0772352i | ||||
\(990\) | −4.33820 | + | 4.33820i | −0.137877 | + | 0.137877i | ||||
\(991\) | −51.8338 | −1.64655 | −0.823277 | − | 0.567640i | \(-0.807857\pi\) | ||||
−0.823277 | + | 0.567640i | \(0.807857\pi\) | |||||||
\(992\) | −38.6721 | −1.22784 | ||||||||
\(993\) | 2.79186 | − | 2.79186i | 0.0885969 | − | 0.0885969i | ||||
\(994\) | −2.74674 | − | 3.40782i | −0.0871214 | − | 0.108089i | ||||
\(995\) | −4.77011 | − | 1.27815i | −0.151223 | − | 0.0405200i | ||||
\(996\) | 3.72852 | + | 13.9150i | 0.118143 | + | 0.440914i | ||||
\(997\) | −38.0778 | − | 21.9842i | −1.20593 | − | 0.696247i | −0.244066 | − | 0.969759i | \(-0.578481\pi\) |
−0.961869 | + | 0.273512i | \(0.911815\pi\) | |||||||
\(998\) | − | 12.7513i | − | 0.403635i | ||||||
\(999\) | −1.30189 | + | 4.85874i | −0.0411901 | + | 0.153724i |
(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 | 273.2.cg.a.124.7 | yes | 36 | |
3.2 | odd | 2 | 819.2.gh.c.397.3 | 36 | |||
7.3 | odd | 6 | 273.2.bt.a.241.7 | yes | 36 | ||
13.2 | odd | 12 | 273.2.bt.a.145.7 | ✓ | 36 | ||
21.17 | even | 6 | 819.2.et.c.514.3 | 36 | |||
39.2 | even | 12 | 819.2.et.c.145.3 | 36 | |||
91.80 | even | 12 | inner | 273.2.cg.a.262.7 | yes | 36 | |
273.80 | odd | 12 | 819.2.gh.c.262.3 | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.bt.a.145.7 | ✓ | 36 | 13.2 | odd | 12 | ||
273.2.bt.a.241.7 | yes | 36 | 7.3 | odd | 6 | ||
273.2.cg.a.124.7 | yes | 36 | 1.1 | even | 1 | trivial | |
273.2.cg.a.262.7 | yes | 36 | 91.80 | even | 12 | inner | |
819.2.et.c.145.3 | 36 | 39.2 | even | 12 | |||
819.2.et.c.514.3 | 36 | 21.17 | even | 6 | |||
819.2.gh.c.262.3 | 36 | 273.80 | odd | 12 | |||
819.2.gh.c.397.3 | 36 | 3.2 | odd | 2 |