Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(4,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 44, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.y (of order \(33\), degree \(20\), 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: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(320\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{33})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{33}]$ |
Embedding invariants
Embedding label | 121.3 | ||
Character | \(\chi\) | \(=\) | 483.121 |
Dual form | 483.2.y.a.4.3 |
$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{9}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.09070 | − | 1.53167i | −0.771240 | − | 1.08306i | −0.994128 | − | 0.108211i | \(-0.965488\pi\) |
0.222887 | − | 0.974844i | \(-0.428452\pi\) | |||||||
\(3\) | −0.235759 | − | 0.971812i | −0.136115 | − | 0.561076i | ||||
\(4\) | −0.502260 | + | 1.45118i | −0.251130 | + | 0.725592i | ||||
\(5\) | −0.0927520 | − | 1.94710i | −0.0414800 | − | 0.870771i | −0.919726 | − | 0.392562i | \(-0.871589\pi\) |
0.878246 | − | 0.478210i | \(-0.158714\pi\) | |||||||
\(6\) | −1.23135 | + | 1.42106i | −0.502698 | + | 0.580145i | ||||
\(7\) | 0.850242 | + | 2.50541i | 0.321361 | + | 0.946957i | ||||
\(8\) | −0.837777 | + | 0.245993i | −0.296199 | + | 0.0869718i | ||||
\(9\) | −0.888835 | + | 0.458227i | −0.296278 | + | 0.152742i | ||||
\(10\) | −2.88116 | + | 2.26577i | −0.911103 | + | 0.716499i | ||||
\(11\) | −2.62185 | + | 3.68187i | −0.790517 | + | 1.11013i | 0.200929 | + | 0.979606i | \(0.435604\pi\) |
−0.991446 | + | 0.130520i | \(0.958335\pi\) | |||||||
\(12\) | 1.52869 | + | 0.145972i | 0.441295 | + | 0.0421385i | ||||
\(13\) | 0.355241 | + | 2.47076i | 0.0985262 | + | 0.685265i | 0.977891 | + | 0.209116i | \(0.0670585\pi\) |
−0.879365 | + | 0.476149i | \(0.842032\pi\) | |||||||
\(14\) | 2.91011 | − | 4.03494i | 0.777760 | − | 1.07838i | ||||
\(15\) | −1.87035 | + | 0.549185i | −0.482923 | + | 0.141799i | ||||
\(16\) | 3.70474 | + | 2.91344i | 0.926184 | + | 0.728359i | ||||
\(17\) | −5.23770 | − | 1.00948i | −1.27033 | − | 0.244836i | −0.490838 | − | 0.871251i | \(-0.663309\pi\) |
−0.779490 | + | 0.626415i | \(0.784522\pi\) | |||||||
\(18\) | 1.67130 | + | 0.861617i | 0.393930 | + | 0.203085i | ||||
\(19\) | −5.79587 | + | 1.11706i | −1.32966 | + | 0.256272i | −0.804106 | − | 0.594486i | \(-0.797355\pi\) |
−0.525558 | + | 0.850758i | \(0.676143\pi\) | |||||||
\(20\) | 2.87219 | + | 0.843351i | 0.642241 | + | 0.188579i | ||||
\(21\) | 2.23434 | − | 1.41695i | 0.487572 | − | 0.309203i | ||||
\(22\) | 8.49906 | 1.81201 | ||||||||
\(23\) | −4.10511 | + | 2.47953i | −0.855974 | + | 0.517018i | ||||
\(24\) | 0.436573 | + | 0.756166i | 0.0891150 | + | 0.154352i | ||||
\(25\) | 1.19475 | − | 0.114085i | 0.238950 | − | 0.0228169i | ||||
\(26\) | 3.39693 | − | 3.23896i | 0.666192 | − | 0.635213i | ||||
\(27\) | 0.654861 | + | 0.755750i | 0.126028 | + | 0.145444i | ||||
\(28\) | −4.06285 | − | 0.0245098i | −0.767807 | − | 0.00463192i | ||||
\(29\) | 1.14804 | − | 1.32491i | 0.213185 | − | 0.246029i | −0.639078 | − | 0.769142i | \(-0.720684\pi\) |
0.852263 | + | 0.523113i | \(0.175229\pi\) | |||||||
\(30\) | 2.88116 | + | 2.26577i | 0.526025 | + | 0.413671i | ||||
\(31\) | −4.23019 | − | 4.03348i | −0.759764 | − | 0.724434i | 0.207492 | − | 0.978237i | \(-0.433470\pi\) |
−0.967256 | + | 0.253803i | \(0.918319\pi\) | |||||||
\(32\) | 0.338587 | − | 7.10781i | 0.0598542 | − | 1.25650i | ||||
\(33\) | 4.19621 | + | 1.67991i | 0.730466 | + | 0.292434i | ||||
\(34\) | 4.16655 | + | 9.12348i | 0.714558 | + | 1.56466i | ||||
\(35\) | 4.79944 | − | 1.88789i | 0.811253 | − | 0.319112i | ||||
\(36\) | −0.218545 | − | 1.52001i | −0.0364241 | − | 0.253335i | ||||
\(37\) | −4.15434 | + | 2.14171i | −0.682970 | + | 0.352095i | −0.764544 | − | 0.644572i | \(-0.777036\pi\) |
0.0815738 | + | 0.996667i | \(0.474005\pi\) | |||||||
\(38\) | 8.03252 | + | 7.65899i | 1.30305 | + | 1.24245i | ||||
\(39\) | 2.31736 | − | 0.927730i | 0.371074 | − | 0.148556i | ||||
\(40\) | 0.556680 | + | 1.60842i | 0.0880189 | + | 0.254314i | ||||
\(41\) | 6.12161 | − | 3.93412i | 0.956035 | − | 0.614406i | 0.0331369 | − | 0.999451i | \(-0.489450\pi\) |
0.922898 | + | 0.385044i | \(0.125814\pi\) | |||||||
\(42\) | −4.60729 | − | 1.87681i | −0.710920 | − | 0.289598i | ||||
\(43\) | −2.62030 | − | 0.769389i | −0.399592 | − | 0.117331i | 0.0757610 | − | 0.997126i | \(-0.475861\pi\) |
−0.475353 | + | 0.879795i | \(0.657680\pi\) | |||||||
\(44\) | −4.02622 | − | 5.65404i | −0.606976 | − | 0.852378i | ||||
\(45\) | 0.974656 | + | 1.68815i | 0.145293 | + | 0.251655i | ||||
\(46\) | 8.27527 | + | 3.58326i | 1.22012 | + | 0.528322i | ||||
\(47\) | −2.16886 | + | 3.75657i | −0.316360 | + | 0.547952i | −0.979726 | − | 0.200344i | \(-0.935794\pi\) |
0.663365 | + | 0.748296i | \(0.269128\pi\) | |||||||
\(48\) | 1.95789 | − | 4.28717i | 0.282597 | − | 0.618800i | ||||
\(49\) | −5.55418 | + | 4.26041i | −0.793454 | + | 0.608630i | ||||
\(50\) | −1.47785 | − | 1.70553i | −0.209000 | − | 0.241199i | ||||
\(51\) | 0.253806 | + | 5.32805i | 0.0355400 | + | 0.746076i | ||||
\(52\) | −3.76394 | − | 0.725441i | −0.521965 | − | 0.100601i | ||||
\(53\) | 3.68627 | − | 1.47576i | 0.506348 | − | 0.202711i | −0.104401 | − | 0.994535i | \(-0.533293\pi\) |
0.610749 | + | 0.791824i | \(0.290868\pi\) | |||||||
\(54\) | 0.443305 | − | 1.82733i | 0.0603261 | − | 0.248668i | ||||
\(55\) | 7.41216 | + | 4.76351i | 0.999456 | + | 0.642311i | ||||
\(56\) | −1.32863 | − | 1.88982i | −0.177545 | − | 0.252538i | ||||
\(57\) | 2.45200 | + | 5.36914i | 0.324776 | + | 0.711159i | ||||
\(58\) | −3.28149 | − | 0.313344i | −0.430880 | − | 0.0411441i | ||||
\(59\) | 1.11355 | − | 0.875706i | 0.144972 | − | 0.114007i | −0.543039 | − | 0.839707i | \(-0.682726\pi\) |
0.688011 | + | 0.725700i | \(0.258484\pi\) | |||||||
\(60\) | 0.142434 | − | 2.99006i | 0.0183881 | − | 0.386015i | ||||
\(61\) | 2.31332 | − | 9.53563i | 0.296190 | − | 1.22091i | −0.608054 | − | 0.793896i | \(-0.708049\pi\) |
0.904244 | − | 0.427017i | \(-0.140435\pi\) | |||||||
\(62\) | −1.56410 | + | 10.8786i | −0.198641 | + | 1.38158i | ||||
\(63\) | −1.90377 | − | 1.83730i | −0.239853 | − | 0.231477i | ||||
\(64\) | −3.32633 | + | 2.13770i | −0.415791 | + | 0.267213i | ||||
\(65\) | 4.77787 | − | 0.920859i | 0.592622 | − | 0.114219i | ||||
\(66\) | −2.00373 | − | 8.25949i | −0.246642 | − | 1.01667i | ||||
\(67\) | 11.0308 | − | 1.05331i | 1.34762 | − | 0.128682i | 0.603841 | − | 0.797105i | \(-0.293636\pi\) |
0.743782 | + | 0.668423i | \(0.233030\pi\) | |||||||
\(68\) | 4.09563 | − | 7.09384i | 0.496668 | − | 0.860254i | ||||
\(69\) | 3.37745 | + | 3.40482i | 0.406598 | + | 0.409892i | ||||
\(70\) | −8.12637 | − | 5.29204i | −0.971287 | − | 0.632520i | ||||
\(71\) | −0.430047 | + | 0.941672i | −0.0510372 | + | 0.111756i | −0.933433 | − | 0.358753i | \(-0.883202\pi\) |
0.882396 | + | 0.470508i | \(0.155929\pi\) | |||||||
\(72\) | 0.631925 | − | 0.602539i | 0.0744731 | − | 0.0710099i | ||||
\(73\) | −2.04466 | + | 5.90766i | −0.239310 | + | 0.691440i | 0.759836 | + | 0.650115i | \(0.225279\pi\) |
−0.999146 | + | 0.0413251i | \(0.986842\pi\) | |||||||
\(74\) | 7.81154 | + | 4.02713i | 0.908073 | + | 0.468144i | ||||
\(75\) | −0.392542 | − | 1.13417i | −0.0453268 | − | 0.130963i | ||||
\(76\) | 1.28997 | − | 8.97193i | 0.147969 | − | 1.02915i | ||||
\(77\) | −11.4538 | − | 3.43833i | −1.30528 | − | 0.391834i | ||||
\(78\) | −3.94852 | − | 2.53756i | −0.447082 | − | 0.287322i | ||||
\(79\) | −13.5116 | − | 5.40925i | −1.52018 | − | 0.608588i | −0.546692 | − | 0.837334i | \(-0.684113\pi\) |
−0.973486 | + | 0.228746i | \(0.926538\pi\) | |||||||
\(80\) | 5.32914 | − | 7.48373i | 0.595816 | − | 0.836707i | ||||
\(81\) | 0.580057 | − | 0.814576i | 0.0644508 | − | 0.0905084i | ||||
\(82\) | −12.7026 | − | 5.08536i | −1.40277 | − | 0.561584i | ||||
\(83\) | −12.0350 | − | 7.73443i | −1.32101 | − | 0.848964i | −0.325682 | − | 0.945480i | \(-0.605594\pi\) |
−0.995331 | + | 0.0965160i | \(0.969230\pi\) | |||||||
\(84\) | 0.934035 | + | 3.95411i | 0.101912 | + | 0.431429i | ||||
\(85\) | −1.47976 | + | 10.2920i | −0.160503 | + | 1.11632i | ||||
\(86\) | 1.67950 | + | 4.85261i | 0.181106 | + | 0.523270i | ||||
\(87\) | −1.55822 | − | 0.803318i | −0.167059 | − | 0.0861247i | ||||
\(88\) | 1.29081 | − | 3.72954i | 0.137600 | − | 0.397571i | ||||
\(89\) | 6.53765 | − | 6.23363i | 0.692989 | − | 0.660764i | −0.259358 | − | 0.965781i | \(-0.583511\pi\) |
0.952347 | + | 0.305017i | \(0.0986623\pi\) | |||||||
\(90\) | 1.52264 | − | 3.33412i | 0.160501 | − | 0.351447i | ||||
\(91\) | −5.88822 | + | 2.99077i | −0.617253 | + | 0.313517i | ||||
\(92\) | −1.53643 | − | 7.20264i | −0.160184 | − | 0.750927i | ||||
\(93\) | −2.92248 | + | 5.06188i | −0.303047 | + | 0.524892i | ||||
\(94\) | 8.11940 | − | 0.775309i | 0.837452 | − | 0.0799670i | ||||
\(95\) | 2.71261 | + | 11.1815i | 0.278308 | + | 1.14720i | ||||
\(96\) | −6.98728 | + | 1.34669i | −0.713136 | + | 0.137446i | ||||
\(97\) | −4.56219 | + | 2.93194i | −0.463220 | + | 0.297694i | −0.751357 | − | 0.659896i | \(-0.770600\pi\) |
0.288137 | + | 0.957589i | \(0.406964\pi\) | |||||||
\(98\) | 12.5835 | + | 3.86035i | 1.27112 | + | 0.389954i | ||||
\(99\) | 0.643261 | − | 4.47398i | 0.0646501 | − | 0.449652i | ||||
\(100\) | −0.434516 | + | 1.79110i | −0.0434516 | + | 0.179110i | ||||
\(101\) | −0.379160 | + | 7.95956i | −0.0377279 | + | 0.792005i | 0.898152 | + | 0.439686i | \(0.144910\pi\) |
−0.935880 | + | 0.352320i | \(0.885393\pi\) | |||||||
\(102\) | 7.88400 | − | 6.20004i | 0.780632 | − | 0.613896i | ||||
\(103\) | −2.18643 | − | 0.208779i | −0.215435 | − | 0.0205716i | −0.0132197 | − | 0.999913i | \(-0.504208\pi\) |
−0.202215 | + | 0.979341i | \(0.564814\pi\) | |||||||
\(104\) | −0.905403 | − | 1.98256i | −0.0887820 | − | 0.194406i | ||||
\(105\) | −2.96618 | − | 4.21906i | −0.289470 | − | 0.411738i | ||||
\(106\) | −6.28099 | − | 4.03655i | −0.610063 | − | 0.392064i | ||||
\(107\) | −3.86368 | + | 15.9263i | −0.373516 | + | 1.53965i | 0.406356 | + | 0.913715i | \(0.366799\pi\) |
−0.779872 | + | 0.625939i | \(0.784716\pi\) | |||||||
\(108\) | −1.42564 | + | 0.570741i | −0.137182 | + | 0.0549196i | ||||
\(109\) | −10.7455 | − | 2.07103i | −1.02923 | − | 0.198368i | −0.353438 | − | 0.935458i | \(-0.614987\pi\) |
−0.675795 | + | 0.737090i | \(0.736200\pi\) | |||||||
\(110\) | −0.788305 | − | 16.5486i | −0.0751619 | − | 1.57784i | ||||
\(111\) | 3.06077 | + | 3.53231i | 0.290515 | + | 0.335272i | ||||
\(112\) | −4.14944 | + | 11.7590i | −0.392085 | + | 1.11112i | ||||
\(113\) | −6.91419 | + | 15.1400i | −0.650432 | + | 1.42425i | 0.240743 | + | 0.970589i | \(0.422609\pi\) |
−0.891175 | + | 0.453659i | \(0.850118\pi\) | |||||||
\(114\) | 5.54936 | − | 9.61177i | 0.519745 | − | 0.900225i | ||||
\(115\) | 5.20867 | + | 7.76309i | 0.485711 | + | 0.723912i | ||||
\(116\) | 1.34607 | + | 2.33146i | 0.124979 | + | 0.216471i | ||||
\(117\) | −1.44792 | − | 2.03332i | −0.133860 | − | 0.187980i | ||||
\(118\) | −2.55584 | − | 0.750463i | −0.235285 | − | 0.0690858i | ||||
\(119\) | −1.92414 | − | 13.9809i | −0.176385 | − | 1.28163i | ||||
\(120\) | 1.43184 | − | 0.920188i | 0.130709 | − | 0.0840013i | ||||
\(121\) | −3.08433 | − | 8.91159i | −0.280394 | − | 0.810145i | ||||
\(122\) | −17.1286 | + | 6.85726i | −1.55075 | + | 0.620827i | ||||
\(123\) | −5.26645 | − | 5.02155i | −0.474860 | − | 0.452778i | ||||
\(124\) | 7.97797 | − | 4.11293i | 0.716443 | − | 0.369352i | ||||
\(125\) | −1.72003 | − | 11.9631i | −0.153844 | − | 1.07001i | ||||
\(126\) | −0.737693 | + | 4.91989i | −0.0657189 | + | 0.438299i | ||||
\(127\) | 3.33380 | + | 7.30001i | 0.295827 | + | 0.647771i | 0.997930 | − | 0.0643041i | \(-0.0204828\pi\) |
−0.702103 | + | 0.712075i | \(0.747756\pi\) | |||||||
\(128\) | −6.31001 | − | 2.52615i | −0.557732 | − | 0.223282i | ||||
\(129\) | −0.129942 | + | 2.72783i | −0.0114408 | + | 0.240172i | ||||
\(130\) | −6.62167 | − | 6.31375i | −0.580759 | − | 0.553753i | ||||
\(131\) | 9.56492 | + | 7.52194i | 0.835691 | + | 0.657195i | 0.941433 | − | 0.337199i | \(-0.109479\pi\) |
−0.105742 | + | 0.994394i | \(0.533722\pi\) | |||||||
\(132\) | −4.54544 | + | 5.24572i | −0.395630 | + | 0.456581i | ||||
\(133\) | −7.72659 | − | 13.5713i | −0.669980 | − | 1.17678i | ||||
\(134\) | −13.6446 | − | 15.7467i | −1.17871 | − | 1.36030i | ||||
\(135\) | 1.41078 | − | 1.34518i | 0.121421 | − | 0.115775i | ||||
\(136\) | 4.63635 | − | 0.442717i | 0.397564 | − | 0.0379627i | ||||
\(137\) | −7.76958 | − | 13.4573i | −0.663800 | − | 1.14974i | −0.979609 | − | 0.200913i | \(-0.935609\pi\) |
0.315809 | − | 0.948823i | \(-0.397724\pi\) | |||||||
\(138\) | 1.53128 | − | 8.88679i | 0.130351 | − | 0.756493i | ||||
\(139\) | 8.33678 | 0.707116 | 0.353558 | − | 0.935413i | \(-0.384972\pi\) | ||||
0.353558 | + | 0.935413i | \(0.384972\pi\) | |||||||
\(140\) | 0.329115 | + | 7.91307i | 0.0278153 | + | 0.668777i | ||||
\(141\) | 4.16201 | + | 1.22208i | 0.350504 | + | 0.102917i | ||||
\(142\) | 1.91138 | − | 0.368389i | 0.160400 | − | 0.0309145i | ||||
\(143\) | −10.0284 | − | 5.17000i | −0.838616 | − | 0.432337i | ||||
\(144\) | −4.62792 | − | 0.891958i | −0.385660 | − | 0.0743298i | ||||
\(145\) | −2.68621 | − | 2.11246i | −0.223078 | − | 0.175430i | ||||
\(146\) | 11.2787 | − | 3.31173i | 0.933433 | − | 0.274081i | ||||
\(147\) | 5.44977 | + | 4.39318i | 0.449489 | + | 0.362344i | ||||
\(148\) | −1.02146 | − | 7.10441i | −0.0839635 | − | 0.583979i | ||||
\(149\) | −17.7011 | − | 1.69025i | −1.45013 | − | 0.138471i | −0.659934 | − | 0.751324i | \(-0.729416\pi\) |
−0.790197 | + | 0.612853i | \(0.790022\pi\) | |||||||
\(150\) | −1.30904 | + | 1.83829i | −0.106883 | + | 0.150096i | ||||
\(151\) | −5.32929 | + | 4.19100i | −0.433692 | + | 0.341059i | −0.811018 | − | 0.585022i | \(-0.801086\pi\) |
0.377326 | + | 0.926080i | \(0.376844\pi\) | |||||||
\(152\) | 4.58085 | − | 2.36159i | 0.371556 | − | 0.191551i | ||||
\(153\) | 5.11802 | − | 1.50279i | 0.413768 | − | 0.121493i | ||||
\(154\) | 7.22626 | + | 21.2937i | 0.582309 | + | 1.71589i | ||||
\(155\) | −7.46124 | + | 8.61073i | −0.599301 | + | 0.691631i | ||||
\(156\) | 0.182392 | + | 3.82887i | 0.0146030 | + | 0.306555i | ||||
\(157\) | 4.87359 | − | 14.0813i | 0.388955 | − | 1.12381i | −0.565318 | − | 0.824873i | \(-0.691246\pi\) |
0.954273 | − | 0.298938i | \(-0.0966324\pi\) | |||||||
\(158\) | 6.45194 | + | 26.5953i | 0.513289 | + | 2.11581i | ||||
\(159\) | −2.30323 | − | 3.23444i | −0.182658 | − | 0.256507i | ||||
\(160\) | −13.8711 | −1.09660 | ||||||||
\(161\) | −9.70259 | − | 8.17678i | −0.764671 | − | 0.644421i | ||||
\(162\) | −1.88033 | −0.147733 | ||||||||
\(163\) | −7.63888 | − | 10.7273i | −0.598323 | − | 0.840227i | 0.398720 | − | 0.917073i | \(-0.369455\pi\) |
−0.997043 | + | 0.0768456i | \(0.975515\pi\) | |||||||
\(164\) | 2.63449 | + | 10.8595i | 0.205719 | + | 0.847987i | ||||
\(165\) | 2.88175 | − | 8.32627i | 0.224344 | − | 0.648199i | ||||
\(166\) | 1.27996 | + | 26.8696i | 0.0993439 | + | 2.08549i | ||||
\(167\) | −4.96328 | + | 5.72794i | −0.384070 | + | 0.443241i | −0.914560 | − | 0.404451i | \(-0.867463\pi\) |
0.530489 | + | 0.847692i | \(0.322008\pi\) | |||||||
\(168\) | −1.52331 | + | 1.73672i | −0.117526 | + | 0.133991i | ||||
\(169\) | 6.49497 | − | 1.90709i | 0.499613 | − | 0.146700i | ||||
\(170\) | 17.3779 | − | 8.95893i | 1.33282 | − | 0.687119i | ||||
\(171\) | 4.63971 | − | 3.64871i | 0.354807 | − | 0.279023i | ||||
\(172\) | 2.43259 | − | 3.41610i | 0.185484 | − | 0.260475i | ||||
\(173\) | 8.22779 | + | 0.785659i | 0.625548 | + | 0.0597326i | 0.403016 | − | 0.915193i | \(-0.367962\pi\) |
0.222532 | + | 0.974925i | \(0.428568\pi\) | |||||||
\(174\) | 0.469128 | + | 3.26286i | 0.0355645 | + | 0.247357i | ||||
\(175\) | 1.30165 | + | 2.89634i | 0.0983959 | + | 0.218943i | ||||
\(176\) | −20.4401 | + | 6.00177i | −1.54073 | + | 0.452400i | ||||
\(177\) | −1.11355 | − | 0.875706i | −0.0836996 | − | 0.0658221i | ||||
\(178\) | −16.6785 | − | 3.21451i | −1.25011 | − | 0.240938i | ||||
\(179\) | 15.7395 | + | 8.11427i | 1.17642 | + | 0.606489i | 0.931744 | − | 0.363115i | \(-0.118287\pi\) |
0.244680 | + | 0.969604i | \(0.421317\pi\) | |||||||
\(180\) | −2.93935 | + | 0.566513i | −0.219086 | + | 0.0422254i | ||||
\(181\) | 20.7338 | + | 6.08801i | 1.54113 | + | 0.452518i | 0.938437 | − | 0.345452i | \(-0.112274\pi\) |
0.602698 | + | 0.797970i | \(0.294092\pi\) | |||||||
\(182\) | 11.0031 | + | 5.75680i | 0.815608 | + | 0.426722i | ||||
\(183\) | −9.81222 | −0.725340 | ||||||||
\(184\) | 2.82922 | − | 3.08712i | 0.208573 | − | 0.227586i | ||||
\(185\) | 4.55546 | + | 7.89029i | 0.334924 | + | 0.580106i | ||||
\(186\) | 10.9407 | − | 1.04471i | 0.802209 | − | 0.0766017i | ||||
\(187\) | 17.4492 | − | 16.6378i | 1.27601 | − | 1.21668i | ||||
\(188\) | −4.36214 | − | 5.03418i | −0.318142 | − | 0.367156i | ||||
\(189\) | −1.33667 | + | 2.28327i | −0.0972287 | + | 0.166083i | ||||
\(190\) | 14.1678 | − | 16.3505i | 1.02784 | − | 1.18619i | ||||
\(191\) | 9.93017 | + | 7.80917i | 0.718522 | + | 0.565052i | 0.909079 | − | 0.416624i | \(-0.136787\pi\) |
−0.190557 | + | 0.981676i | \(0.561029\pi\) | |||||||
\(192\) | 2.86165 | + | 2.72858i | 0.206522 | + | 0.196918i | ||||
\(193\) | −0.789118 | + | 16.5656i | −0.0568020 | + | 1.19242i | 0.773016 | + | 0.634386i | \(0.218747\pi\) |
−0.829818 | + | 0.558034i | \(0.811556\pi\) | |||||||
\(194\) | 9.46675 | + | 3.78991i | 0.679673 | + | 0.272100i | ||||
\(195\) | −2.02133 | − | 4.42609i | −0.144750 | − | 0.316959i | ||||
\(196\) | −3.39300 | − | 10.2000i | −0.242357 | − | 0.728569i | ||||
\(197\) | 2.74620 | + | 19.1003i | 0.195659 | + | 1.36084i | 0.816701 | + | 0.577061i | \(0.195800\pi\) |
−0.621043 | + | 0.783777i | \(0.713291\pi\) | |||||||
\(198\) | −7.55427 | + | 3.89450i | −0.536858 | + | 0.276770i | ||||
\(199\) | −1.99342 | − | 1.90072i | −0.141309 | − | 0.134738i | 0.616128 | − | 0.787646i | \(-0.288700\pi\) |
−0.757437 | + | 0.652908i | \(0.773549\pi\) | |||||||
\(200\) | −0.972869 | + | 0.389478i | −0.0687922 | + | 0.0275402i | ||||
\(201\) | −3.62422 | − | 10.4715i | −0.255633 | − | 0.738602i | ||||
\(202\) | 12.6050 | − | 8.10073i | 0.886883 | − | 0.569965i | ||||
\(203\) | 4.29555 | + | 1.74982i | 0.301488 | + | 0.122813i | ||||
\(204\) | −7.85946 | − | 2.30774i | −0.550272 | − | 0.161574i | ||||
\(205\) | −8.22793 | − | 11.5545i | −0.574664 | − | 0.807002i | ||||
\(206\) | 2.06495 | + | 3.57660i | 0.143872 | + | 0.249194i | ||||
\(207\) | 2.51258 | − | 4.08497i | 0.174636 | − | 0.283925i | ||||
\(208\) | −5.88232 | + | 10.1885i | −0.407865 | + | 0.706444i | ||||
\(209\) | 11.0830 | − | 24.2684i | 0.766628 | − | 1.67868i | ||||
\(210\) | −3.22700 | + | 9.14494i | −0.222684 | + | 0.631061i | ||||
\(211\) | 6.97455 | + | 8.04906i | 0.480148 | + | 0.554120i | 0.943206 | − | 0.332208i | \(-0.107793\pi\) |
−0.463058 | + | 0.886328i | \(0.653248\pi\) | |||||||
\(212\) | 0.290134 | + | 6.09067i | 0.0199265 | + | 0.418309i | ||||
\(213\) | 1.01651 | + | 0.195917i | 0.0696505 | + | 0.0134240i | ||||
\(214\) | 28.6080 | − | 11.4529i | 1.95560 | − | 0.782905i | ||||
\(215\) | −1.25504 | + | 5.17336i | −0.0855932 | + | 0.352820i | ||||
\(216\) | −0.734537 | − | 0.472058i | −0.0499789 | − | 0.0321195i | ||||
\(217\) | 6.50884 | − | 14.0278i | 0.441849 | − | 0.952269i | ||||
\(218\) | 8.54798 | + | 18.7175i | 0.578942 | + | 1.26771i | ||||
\(219\) | 6.22318 | + | 0.594242i | 0.420524 | + | 0.0401551i | ||||
\(220\) | −10.6356 | + | 8.36389i | −0.717049 | + | 0.563894i | ||||
\(221\) | 0.633542 | − | 13.2997i | 0.0426167 | − | 0.894634i | ||||
\(222\) | 2.07197 | − | 8.54078i | 0.139062 | − | 0.573219i | ||||
\(223\) | −1.37652 | + | 9.57390i | −0.0921786 | + | 0.641116i | 0.890388 | + | 0.455203i | \(0.150433\pi\) |
−0.982566 | + | 0.185913i | \(0.940476\pi\) | |||||||
\(224\) | 18.0959 | − | 5.19506i | 1.20908 | − | 0.347110i | ||||
\(225\) | −1.00966 | + | 0.648868i | −0.0673106 | + | 0.0432579i | ||||
\(226\) | 30.7308 | − | 5.92287i | 2.04418 | − | 0.393983i | ||||
\(227\) | −0.999624 | − | 4.12051i | −0.0663474 | − | 0.273488i | 0.928969 | − | 0.370157i | \(-0.120696\pi\) |
−0.995317 | + | 0.0966695i | \(0.969181\pi\) | |||||||
\(228\) | −9.02314 | + | 0.861606i | −0.597572 | + | 0.0570612i | ||||
\(229\) | 9.36632 | − | 16.2229i | 0.618944 | − | 1.07204i | −0.370735 | − | 0.928739i | \(-0.620894\pi\) |
0.989679 | − | 0.143303i | \(-0.0457724\pi\) | |||||||
\(230\) | 6.20943 | − | 16.4452i | 0.409437 | − | 1.08436i | ||||
\(231\) | −0.641070 | + | 11.9416i | −0.0421793 | + | 0.785697i | ||||
\(232\) | −0.635881 | + | 1.39239i | −0.0417476 | + | 0.0914146i | ||||
\(233\) | −11.0782 | + | 10.5631i | −0.725759 | + | 0.692010i | −0.959947 | − | 0.280182i | \(-0.909605\pi\) |
0.234188 | + | 0.972191i | \(0.424757\pi\) | |||||||
\(234\) | −1.53513 | + | 4.43547i | −0.100355 | + | 0.289956i | ||||
\(235\) | 7.51560 | + | 3.87456i | 0.490264 | + | 0.252748i | ||||
\(236\) | 0.711519 | + | 2.05580i | 0.0463159 | + | 0.133821i | ||||
\(237\) | −2.07128 | + | 14.4060i | −0.134544 | + | 0.935773i | ||||
\(238\) | −19.3155 | + | 18.1961i | −1.25204 | + | 1.17948i | ||||
\(239\) | 5.67863 | + | 3.64943i | 0.367320 | + | 0.236062i | 0.711259 | − | 0.702930i | \(-0.248125\pi\) |
−0.343939 | + | 0.938992i | \(0.611761\pi\) | |||||||
\(240\) | −8.52917 | − | 3.41457i | −0.550556 | − | 0.220409i | ||||
\(241\) | 11.7236 | − | 16.4635i | 0.755184 | − | 1.06051i | −0.240764 | − | 0.970584i | \(-0.577398\pi\) |
0.995949 | − | 0.0899242i | \(-0.0286625\pi\) | |||||||
\(242\) | −10.2856 | + | 14.4440i | −0.661181 | + | 0.928499i | ||||
\(243\) | −0.928368 | − | 0.371662i | −0.0595548 | − | 0.0238422i | ||||
\(244\) | 12.6761 | + | 8.14641i | 0.811502 | + | 0.521521i | ||||
\(245\) | 8.81063 | + | 10.4194i | 0.562890 | + | 0.665671i | ||||
\(246\) | −1.94726 | + | 13.5435i | −0.124153 | + | 0.863500i | ||||
\(247\) | −4.81892 | − | 13.9234i | −0.306621 | − | 0.885922i | ||||
\(248\) | 4.53616 | + | 2.33855i | 0.288047 | + | 0.148498i | ||||
\(249\) | −4.67905 | + | 13.5192i | −0.296522 | + | 0.856745i | ||||
\(250\) | −16.4475 | + | 15.6826i | −1.04023 | + | 0.991857i | ||||
\(251\) | −3.99789 | + | 8.75416i | −0.252345 | + | 0.552558i | −0.992833 | − | 0.119512i | \(-0.961867\pi\) |
0.740488 | + | 0.672070i | \(0.234594\pi\) | |||||||
\(252\) | 3.62244 | − | 1.83992i | 0.228192 | − | 0.115904i | ||||
\(253\) | 1.63365 | − | 21.6154i | 0.102707 | − | 1.35895i | ||||
\(254\) | 7.54505 | − | 13.0684i | 0.473418 | − | 0.819984i | ||||
\(255\) | 10.3507 | − | 0.988374i | 0.648188 | − | 0.0618944i | ||||
\(256\) | 4.87748 | + | 20.1052i | 0.304843 | + | 1.25658i | ||||
\(257\) | −4.79930 | + | 0.924990i | −0.299372 | + | 0.0576993i | −0.336726 | − | 0.941603i | \(-0.609319\pi\) |
0.0373532 | + | 0.999302i | \(0.488107\pi\) | |||||||
\(258\) | 4.31986 | − | 2.77621i | 0.268943 | − | 0.172839i | ||||
\(259\) | −8.89807 | − | 8.58737i | −0.552899 | − | 0.533593i | ||||
\(260\) | −1.06340 | + | 7.39608i | −0.0659490 | + | 0.458685i | ||||
\(261\) | −0.413310 | + | 1.70369i | −0.0255832 | + | 0.105455i | ||||
\(262\) | 1.08869 | − | 22.8545i | 0.0672597 | − | 1.41195i | ||||
\(263\) | −3.64485 | + | 2.86634i | −0.224751 | + | 0.176746i | −0.724185 | − | 0.689606i | \(-0.757784\pi\) |
0.499434 | + | 0.866352i | \(0.333541\pi\) | |||||||
\(264\) | −3.92873 | − | 0.375148i | −0.241797 | − | 0.0230888i | ||||
\(265\) | −3.21537 | − | 7.04067i | −0.197518 | − | 0.432505i | ||||
\(266\) | −12.3593 | + | 26.6368i | −0.757800 | + | 1.63320i | ||||
\(267\) | −7.59923 | − | 4.88373i | −0.465065 | − | 0.298879i | ||||
\(268\) | −4.01176 | + | 16.5367i | −0.245057 | + | 1.01014i | ||||
\(269\) | −2.49847 | + | 1.00024i | −0.152334 | + | 0.0609855i | −0.446577 | − | 0.894745i | \(-0.647357\pi\) |
0.294242 | + | 0.955731i | \(0.404933\pi\) | |||||||
\(270\) | −3.59911 | − | 0.693672i | −0.219035 | − | 0.0422155i | ||||
\(271\) | 1.44373 | + | 30.3075i | 0.0877001 | + | 1.84105i | 0.431624 | + | 0.902053i | \(0.357941\pi\) |
−0.343924 | + | 0.938997i | \(0.611756\pi\) | |||||||
\(272\) | −16.4632 | − | 18.9996i | −0.998230 | − | 1.15202i | ||||
\(273\) | 4.29466 | + | 5.01714i | 0.259925 | + | 0.303651i | ||||
\(274\) | −12.1379 | + | 26.5783i | −0.733278 | + | 1.60566i | ||||
\(275\) | −2.71240 | + | 4.69802i | −0.163564 | + | 0.283301i | ||||
\(276\) | −6.63738 | + | 3.19120i | −0.399523 | + | 0.192088i | ||||
\(277\) | −8.09219 | − | 14.0161i | −0.486212 | − | 0.842144i | 0.513662 | − | 0.857993i | \(-0.328289\pi\) |
−0.999874 | + | 0.0158481i | \(0.994955\pi\) | |||||||
\(278\) | −9.09291 | − | 12.7692i | −0.545357 | − | 0.765846i | ||||
\(279\) | 5.60819 | + | 1.64671i | 0.335753 | + | 0.0985861i | ||||
\(280\) | −3.55645 | + | 2.76226i | −0.212538 | + | 0.165077i | ||||
\(281\) | −18.9597 | + | 12.1847i | −1.13104 | + | 0.726875i | −0.965777 | − | 0.259374i | \(-0.916484\pi\) |
−0.165263 | + | 0.986249i | \(0.552847\pi\) | |||||||
\(282\) | −2.66768 | − | 7.70774i | −0.158858 | − | 0.458989i | ||||
\(283\) | 29.1921 | − | 11.6868i | 1.73529 | − | 0.694706i | 0.735438 | − | 0.677592i | \(-0.236976\pi\) |
0.999854 | − | 0.0171142i | \(-0.00544788\pi\) | |||||||
\(284\) | −1.15054 | − | 1.09704i | −0.0682722 | − | 0.0650974i | ||||
\(285\) | 10.2268 | − | 5.27230i | 0.605785 | − | 0.312304i | ||||
\(286\) | 3.01922 | + | 20.9991i | 0.178530 | + | 1.24170i | ||||
\(287\) | 15.0614 | + | 11.9922i | 0.889049 | + | 0.707877i | ||||
\(288\) | 2.95604 | + | 6.47282i | 0.174186 | + | 0.381415i | ||||
\(289\) | 10.6322 | + | 4.25648i | 0.625421 | + | 0.250381i | ||||
\(290\) | −0.305749 | + | 6.41846i | −0.0179542 | + | 0.376905i | ||||
\(291\) | 3.92487 | + | 3.74236i | 0.230080 | + | 0.219381i | ||||
\(292\) | −7.54615 | − | 5.93436i | −0.441605 | − | 0.347282i | ||||
\(293\) | 5.26541 | − | 6.07661i | 0.307609 | − | 0.354999i | −0.580805 | − | 0.814043i | \(-0.697262\pi\) |
0.888414 | + | 0.459043i | \(0.151808\pi\) | |||||||
\(294\) | 0.784864 | − | 13.1389i | 0.0457742 | − | 0.766276i | ||||
\(295\) | −1.80838 | − | 2.08698i | −0.105288 | − | 0.121508i | ||||
\(296\) | 2.95357 | − | 2.81622i | 0.171672 | − | 0.163689i | ||||
\(297\) | −4.49952 | + | 0.429652i | −0.261088 | + | 0.0249309i | ||||
\(298\) | 16.7177 | + | 28.9558i | 0.968428 | + | 1.67737i | ||||
\(299\) | −7.58463 | − | 9.26189i | −0.438630 | − | 0.535629i | ||||
\(300\) | 1.84305 | 0.106409 | ||||||||
\(301\) | −0.300251 | − | 7.21909i | −0.0173062 | − | 0.416102i | ||||
\(302\) | 12.2319 | + | 3.59161i | 0.703866 | + | 0.206674i | ||||
\(303\) | 7.82458 | − | 1.50806i | 0.449510 | − | 0.0866360i | ||||
\(304\) | −24.7267 | − | 12.7475i | −1.41817 | − | 0.731118i | ||||
\(305\) | −18.7814 | − | 3.61982i | −1.07542 | − | 0.207271i | ||||
\(306\) | −7.88400 | − | 6.20004i | −0.450698 | − | 0.354433i | ||||
\(307\) | −11.2882 | + | 3.31452i | −0.644252 | + | 0.189169i | −0.587507 | − | 0.809219i | \(-0.699890\pi\) |
−0.0567452 | + | 0.998389i | \(0.518072\pi\) | |||||||
\(308\) | 10.7424 | − | 14.8946i | 0.612107 | − | 0.848701i | ||||
\(309\) | 0.312577 | + | 2.17402i | 0.0177819 | + | 0.123676i | ||||
\(310\) | 21.3268 | + | 2.03646i | 1.21128 | + | 0.115663i | ||||
\(311\) | 7.79395 | − | 10.9451i | 0.441954 | − | 0.620638i | −0.532174 | − | 0.846635i | \(-0.678625\pi\) |
0.974128 | + | 0.225997i | \(0.0725641\pi\) | |||||||
\(312\) | −1.71321 | + | 1.34729i | −0.0969916 | + | 0.0762750i | ||||
\(313\) | −31.2913 | + | 16.1318i | −1.76869 | + | 0.911822i | −0.838337 | + | 0.545152i | \(0.816472\pi\) |
−0.930351 | + | 0.366670i | \(0.880498\pi\) | |||||||
\(314\) | −26.8836 | + | 7.89373i | −1.51713 | + | 0.445469i | ||||
\(315\) | −3.40083 | + | 3.87725i | −0.191615 | + | 0.218458i | ||||
\(316\) | 14.6362 | − | 16.8910i | 0.823348 | − | 0.950195i | ||||
\(317\) | −0.502587 | − | 10.5506i | −0.0282281 | − | 0.592581i | −0.968026 | − | 0.250850i | \(-0.919290\pi\) |
0.939798 | − | 0.341731i | \(-0.111013\pi\) | |||||||
\(318\) | −2.44196 | + | 7.05559i | −0.136938 | + | 0.395658i | ||||
\(319\) | 1.86815 | + | 7.70063i | 0.104596 | + | 0.431152i | ||||
\(320\) | 4.47085 | + | 6.27843i | 0.249928 | + | 0.350975i | ||||
\(321\) | 16.3883 | 0.914703 | ||||||||
\(322\) | −1.94155 | + | 23.7796i | −0.108199 | + | 1.32518i | ||||
\(323\) | 31.4847 | 1.75185 | ||||||||
\(324\) | 0.890760 | + | 1.25090i | 0.0494867 | + | 0.0694943i | ||||
\(325\) | 0.706300 | + | 2.91141i | 0.0391784 | + | 0.161496i | ||||
\(326\) | −8.09900 | + | 23.4005i | −0.448562 | + | 1.29603i | ||||
\(327\) | 0.520702 | + | 10.9309i | 0.0287949 | + | 0.604479i | ||||
\(328\) | −4.16078 | + | 4.80179i | −0.229740 | + | 0.265135i | ||||
\(329\) | −11.2558 | − | 2.23989i | −0.620553 | − | 0.123489i | ||||
\(330\) | −15.8962 | + | 4.66755i | −0.875059 | + | 0.256940i | ||||
\(331\) | 18.4897 | − | 9.53210i | 1.01629 | − | 0.523932i | 0.132183 | − | 0.991225i | \(-0.457801\pi\) |
0.884102 | + | 0.467294i | \(0.154771\pi\) | |||||||
\(332\) | 17.2688 | − | 13.5803i | 0.947747 | − | 0.745316i | ||||
\(333\) | 2.71114 | − | 3.80726i | 0.148569 | − | 0.208637i | ||||
\(334\) | 14.1868 | + | 1.35467i | 0.776265 | + | 0.0741244i | ||||
\(335\) | −3.07403 | − | 21.3803i | −0.167952 | − | 1.16813i | ||||
\(336\) | 12.4058 | + | 1.26018i | 0.676793 | + | 0.0687483i | ||||
\(337\) | −4.35952 | + | 1.28007i | −0.237478 | + | 0.0697298i | −0.398306 | − | 0.917253i | \(-0.630402\pi\) |
0.160828 | + | 0.986982i | \(0.448584\pi\) | |||||||
\(338\) | −10.0051 | − | 7.86809i | −0.544205 | − | 0.427968i | ||||
\(339\) | 16.3433 | + | 3.14991i | 0.887645 | + | 0.171079i | ||||
\(340\) | −14.1923 | − | 7.31665i | −0.769686 | − | 0.396801i | ||||
\(341\) | 25.9417 | − | 4.99984i | 1.40482 | − | 0.270757i | ||||
\(342\) | −10.6491 | − | 3.12687i | −0.575840 | − | 0.169082i | ||||
\(343\) | −15.3965 | − | 10.2931i | −0.831332 | − | 0.555776i | ||||
\(344\) | 2.38449 | 0.128563 | ||||||||
\(345\) | 6.31627 | − | 6.89206i | 0.340057 | − | 0.371056i | ||||
\(346\) | −7.77067 | − | 13.4592i | −0.417754 | − | 0.723571i | ||||
\(347\) | −20.2231 | + | 1.93107i | −1.08563 | + | 0.103665i | −0.622496 | − | 0.782623i | \(-0.713881\pi\) |
−0.463135 | + | 0.886288i | \(0.653275\pi\) | |||||||
\(348\) | 1.94839 | − | 1.85779i | 0.104445 | − | 0.0995879i | ||||
\(349\) | −17.8426 | − | 20.5915i | −0.955094 | − | 1.10224i | −0.994679 | − | 0.103021i | \(-0.967149\pi\) |
0.0395857 | − | 0.999216i | \(-0.487396\pi\) | |||||||
\(350\) | 3.01653 | − | 5.15274i | 0.161240 | − | 0.275426i | ||||
\(351\) | −1.63464 | + | 1.88647i | −0.0872506 | + | 0.100693i | ||||
\(352\) | 25.2823 | + | 19.8822i | 1.34755 | + | 1.05973i | ||||
\(353\) | −16.3494 | − | 15.5891i | −0.870191 | − | 0.829726i | 0.116355 | − | 0.993208i | \(-0.462879\pi\) |
−0.986546 | + | 0.163482i | \(0.947727\pi\) | |||||||
\(354\) | −0.126746 | + | 2.66073i | −0.00673648 | + | 0.141416i | ||||
\(355\) | 1.87342 | + | 0.750004i | 0.0994308 | + | 0.0398061i | ||||
\(356\) | 5.76255 | + | 12.6182i | 0.305415 | + | 0.668765i | ||||
\(357\) | −13.1332 | + | 5.16602i | −0.695081 | + | 0.273415i | ||||
\(358\) | −4.73864 | − | 32.9579i | −0.250445 | − | 1.74188i | ||||
\(359\) | −5.99970 | + | 3.09306i | −0.316652 | + | 0.163245i | −0.609224 | − | 0.792998i | \(-0.708519\pi\) |
0.292572 | + | 0.956243i | \(0.405489\pi\) | |||||||
\(360\) | −1.23182 | − | 1.17454i | −0.0649225 | − | 0.0619035i | ||||
\(361\) | 14.7053 | − | 5.88711i | 0.773962 | − | 0.309848i | ||||
\(362\) | −13.2895 | − | 38.3976i | −0.698483 | − | 2.01813i | ||||
\(363\) | −7.93323 | + | 5.09838i | −0.416387 | + | 0.267595i | ||||
\(364\) | −1.38274 | − | 10.0470i | −0.0724750 | − | 0.526608i | ||||
\(365\) | 11.6925 | + | 3.43322i | 0.612012 | + | 0.179703i | ||||
\(366\) | 10.7022 | + | 15.0291i | 0.559412 | + | 0.785584i | ||||
\(367\) | −4.06408 | − | 7.03919i | −0.212143 | − | 0.367443i | 0.740242 | − | 0.672341i | \(-0.234711\pi\) |
−0.952385 | + | 0.304898i | \(0.901378\pi\) | |||||||
\(368\) | −22.4323 | − | 2.77396i | −1.16936 | − | 0.144603i | ||||
\(369\) | −3.63839 | + | 6.30187i | −0.189407 | + | 0.328062i | ||||
\(370\) | 7.11670 | − | 15.5834i | 0.369980 | − | 0.810143i | ||||
\(371\) | 6.83161 | + | 7.98087i | 0.354679 | + | 0.414346i | ||||
\(372\) | −5.87787 | − | 6.78342i | −0.304753 | − | 0.351704i | ||||
\(373\) | −0.0279380 | − | 0.586491i | −0.00144658 | − | 0.0303674i | 0.998029 | − | 0.0627601i | \(-0.0199903\pi\) |
−0.999475 | + | 0.0323927i | \(0.989687\pi\) | |||||||
\(374\) | −44.5155 | − | 8.57966i | −2.30184 | − | 0.443644i | ||||
\(375\) | −11.2203 | + | 4.49195i | −0.579416 | + | 0.231963i | ||||
\(376\) | 0.892926 | − | 3.68069i | 0.0460491 | − | 0.189817i | ||||
\(377\) | 3.68135 | + | 2.36586i | 0.189599 | + | 0.121848i | ||||
\(378\) | 4.95512 | − | 0.443009i | 0.254864 | − | 0.0227859i | ||||
\(379\) | −8.08241 | − | 17.6980i | −0.415166 | − | 0.909086i | −0.995505 | − | 0.0947110i | \(-0.969807\pi\) |
0.580339 | − | 0.814375i | \(-0.302920\pi\) | |||||||
\(380\) | −17.5889 | − | 1.67954i | −0.902292 | − | 0.0861585i | ||||
\(381\) | 6.30826 | − | 4.96087i | 0.323182 | − | 0.254153i | ||||
\(382\) | 1.13027 | − | 23.7272i | 0.0578295 | − | 1.21399i | ||||
\(383\) | −4.00599 | + | 16.5129i | −0.204697 | + | 0.843772i | 0.773112 | + | 0.634270i | \(0.218699\pi\) |
−0.977808 | + | 0.209502i | \(0.932816\pi\) | |||||||
\(384\) | −0.967298 | + | 6.72770i | −0.0493622 | + | 0.343322i | ||||
\(385\) | −5.63242 | + | 22.6207i | −0.287055 | + | 1.15286i | ||||
\(386\) | 26.2338 | − | 16.8594i | 1.33527 | − | 0.858123i | ||||
\(387\) | 2.68157 | − | 0.516830i | 0.136312 | − | 0.0262719i | ||||
\(388\) | −1.96338 | − | 8.09317i | −0.0996756 | − | 0.410868i | ||||
\(389\) | 31.5922 | − | 3.01669i | 1.60179 | − | 0.152952i | 0.744439 | − | 0.667690i | \(-0.232717\pi\) |
0.857348 | + | 0.514738i | \(0.172111\pi\) | |||||||
\(390\) | −4.57466 | + | 7.92354i | −0.231647 | + | 0.401224i | ||||
\(391\) | 24.0044 | − | 8.84300i | 1.21395 | − | 0.447210i | ||||
\(392\) | 3.60513 | − | 4.93557i | 0.182086 | − | 0.249284i | ||||
\(393\) | 5.05489 | − | 11.0687i | 0.254985 | − | 0.558340i | ||||
\(394\) | 26.2601 | − | 25.0389i | 1.32296 | − | 1.26144i | ||||
\(395\) | −9.27913 | + | 26.8103i | −0.466884 | + | 1.34897i | ||||
\(396\) | 6.16948 | + | 3.18059i | 0.310028 | + | 0.159830i | ||||
\(397\) | 10.9871 | + | 31.7452i | 0.551427 | + | 1.59324i | 0.784064 | + | 0.620680i | \(0.213143\pi\) |
−0.232637 | + | 0.972564i | \(0.574735\pi\) | |||||||
\(398\) | −0.737061 | + | 5.12637i | −0.0369455 | + | 0.256962i | ||||
\(399\) | −11.3671 | + | 10.7083i | −0.569067 | + | 0.536087i | ||||
\(400\) | 4.75861 | + | 3.05817i | 0.237930 | + | 0.152909i | ||||
\(401\) | 5.83419 | + | 2.33566i | 0.291346 | + | 0.116637i | 0.512731 | − | 0.858549i | \(-0.328634\pi\) |
−0.221386 | + | 0.975186i | \(0.571058\pi\) | |||||||
\(402\) | −12.0860 | + | 16.9724i | −0.602793 | + | 0.846504i | ||||
\(403\) | 8.46300 | − | 11.8846i | 0.421572 | − | 0.592015i | ||||
\(404\) | −11.3603 | − | 4.54799i | −0.565198 | − | 0.226271i | ||||
\(405\) | −1.63987 | − | 1.05388i | −0.0814856 | − | 0.0523676i | ||||
\(406\) | −2.00500 | − | 8.48789i | −0.0995065 | − | 0.421247i | ||||
\(407\) | 3.00655 | − | 20.9110i | 0.149029 | − | 1.03652i | ||||
\(408\) | −1.52330 | − | 4.40128i | −0.0754145 | − | 0.217896i | ||||
\(409\) | −24.2497 | − | 12.5016i | −1.19907 | − | 0.618165i | −0.261247 | − | 0.965272i | \(-0.584134\pi\) |
−0.937825 | + | 0.347107i | \(0.887164\pi\) | |||||||
\(410\) | −8.72353 | + | 25.2050i | −0.430824 | + | 1.24479i | ||||
\(411\) | −11.2462 | + | 10.7233i | −0.554735 | + | 0.528939i | ||||
\(412\) | 1.40113 | − | 3.06805i | 0.0690287 | − | 0.151152i | ||||
\(413\) | 3.14079 | + | 2.04534i | 0.154548 | + | 0.100645i | ||||
\(414\) | −8.99729 | + | 0.607022i | −0.442193 | + | 0.0298335i | ||||
\(415\) | −13.9435 | + | 24.1508i | −0.684458 | + | 1.18552i | ||||
\(416\) | 17.6819 | − | 1.68842i | 0.866929 | − | 0.0827817i | ||||
\(417\) | −1.96547 | − | 8.10177i | −0.0962494 | − | 0.396746i | ||||
\(418\) | −49.2595 | + | 9.49398i | −2.40936 | + | 0.464366i | ||||
\(419\) | −16.5108 | + | 10.6109i | −0.806606 | + | 0.518374i | −0.877765 | − | 0.479091i | \(-0.840967\pi\) |
0.0711591 | + | 0.997465i | \(0.477330\pi\) | |||||||
\(420\) | 7.61242 | − | 2.18542i | 0.371448 | − | 0.106637i | ||||
\(421\) | −2.15555 | + | 14.9922i | −0.105055 | + | 0.730673i | 0.867405 | + | 0.497603i | \(0.165786\pi\) |
−0.972460 | + | 0.233070i | \(0.925123\pi\) | |||||||
\(422\) | 4.72139 | − | 19.4618i | 0.229834 | − | 0.947387i | ||||
\(423\) | 0.206397 | − | 4.33280i | 0.0100354 | − | 0.210668i | ||||
\(424\) | −2.72524 | + | 2.14315i | −0.132349 | + | 0.104081i | ||||
\(425\) | −6.37290 | − | 0.608538i | −0.309131 | − | 0.0295184i | ||||
\(426\) | −0.808631 | − | 1.77065i | −0.0391783 | − | 0.0857885i | ||||
\(427\) | 25.8576 | − | 2.31178i | 1.25134 | − | 0.111875i | ||||
\(428\) | −21.1714 | − | 13.6060i | −1.02336 | − | 0.657673i | ||||
\(429\) | −2.65998 | + | 10.9646i | −0.128425 | + | 0.529375i | ||||
\(430\) | 9.29276 | − | 3.72026i | 0.448137 | − | 0.179407i | ||||
\(431\) | 23.3836 | + | 4.50682i | 1.12635 | + | 0.217086i | 0.718205 | − | 0.695832i | \(-0.244964\pi\) |
0.408144 | + | 0.912918i | \(0.366176\pi\) | |||||||
\(432\) | 0.224258 | + | 4.70775i | 0.0107896 | + | 0.226502i | ||||
\(433\) | −9.37894 | − | 10.8239i | −0.450723 | − | 0.520162i | 0.484226 | − | 0.874943i | \(-0.339101\pi\) |
−0.934950 | + | 0.354780i | \(0.884556\pi\) | |||||||
\(434\) | −28.5852 | + | 5.33070i | −1.37213 | + | 0.255882i | ||||
\(435\) | −1.41962 | + | 3.10853i | −0.0680654 | + | 0.149042i | ||||
\(436\) | 8.40247 | − | 14.5535i | 0.402405 | − | 0.696987i | ||||
\(437\) | 21.0229 | − | 18.9567i | 1.00566 | − | 0.906822i | ||||
\(438\) | −5.87743 | − | 10.1800i | −0.280835 | − | 0.486420i | ||||
\(439\) | 6.24873 | + | 8.77512i | 0.298236 | + | 0.418814i | 0.936317 | − | 0.351155i | \(-0.114211\pi\) |
−0.638081 | + | 0.769969i | \(0.720272\pi\) | |||||||
\(440\) | −7.38153 | − | 2.16741i | −0.351901 | − | 0.103327i | ||||
\(441\) | 2.98452 | − | 6.33188i | 0.142120 | − | 0.301518i | ||||
\(442\) | −21.0618 | + | 13.5356i | −1.00181 | + | 0.643821i | ||||
\(443\) | −11.0388 | − | 31.8945i | −0.524469 | − | 1.51535i | −0.826993 | − | 0.562212i | \(-0.809951\pi\) |
0.302524 | − | 0.953142i | \(-0.402171\pi\) | |||||||
\(444\) | −6.66333 | + | 2.66760i | −0.316228 | + | 0.126598i | ||||
\(445\) | −12.7439 | − | 12.1513i | −0.604119 | − | 0.576027i | ||||
\(446\) | 16.1654 | − | 8.33387i | 0.765456 | − | 0.394620i | ||||
\(447\) | 2.53059 | + | 17.6006i | 0.119693 | + | 0.832481i | ||||
\(448\) | −8.18401 | − | 6.51626i | −0.386658 | − | 0.307864i | ||||
\(449\) | −16.0312 | − | 35.1034i | −0.756558 | − | 1.65663i | −0.754209 | − | 0.656634i | \(-0.771979\pi\) |
−0.00234931 | − | 0.999997i | \(-0.500748\pi\) | |||||||
\(450\) | 2.09509 | + | 0.838746i | 0.0987633 | + | 0.0395389i | ||||
\(451\) | −1.56501 | + | 32.8536i | −0.0736935 | + | 1.54702i | ||||
\(452\) | −18.4981 | − | 17.6379i | −0.870080 | − | 0.829619i | ||||
\(453\) | 5.32929 | + | 4.19100i | 0.250392 | + | 0.196910i | ||||
\(454\) | −5.22097 | + | 6.02533i | −0.245032 | + | 0.282783i | ||||
\(455\) | 6.36948 | + | 11.1876i | 0.298606 | + | 0.524482i | ||||
\(456\) | −3.37500 | − | 3.89496i | −0.158049 | − | 0.182398i | ||||
\(457\) | −13.8171 | + | 13.1746i | −0.646337 | + | 0.616281i | −0.940630 | − | 0.339434i | \(-0.889764\pi\) |
0.294293 | + | 0.955715i | \(0.404916\pi\) | |||||||
\(458\) | −35.0640 | + | 3.34821i | −1.63844 | + | 0.156452i | ||||
\(459\) | −2.66705 | − | 4.61946i | −0.124487 | − | 0.215618i | ||||
\(460\) | −13.8818 | + | 3.65964i | −0.647241 | + | 0.170632i | ||||
\(461\) | 29.6002 | 1.37862 | 0.689309 | − | 0.724468i | \(-0.257914\pi\) | ||||
0.689309 | + | 0.724468i | \(0.257914\pi\) | |||||||
\(462\) | 18.9898 | − | 12.0427i | 0.883484 | − | 0.560279i | ||||
\(463\) | −8.67159 | − | 2.54621i | −0.403003 | − | 0.118332i | 0.0739484 | − | 0.997262i | \(-0.476440\pi\) |
−0.476951 | + | 0.878930i | \(0.658258\pi\) | |||||||
\(464\) | 8.11321 | − | 1.56369i | 0.376646 | − | 0.0725926i | ||||
\(465\) | 10.1271 | + | 5.22086i | 0.469631 | + | 0.242112i | ||||
\(466\) | 28.2622 | + | 5.44709i | 1.30922 | + | 0.252331i | ||||
\(467\) | −14.9074 | − | 11.7233i | −0.689833 | − | 0.542491i | 0.210553 | − | 0.977582i | \(-0.432474\pi\) |
−0.900386 | + | 0.435092i | \(0.856716\pi\) | |||||||
\(468\) | 3.67794 | − | 1.07994i | 0.170013 | − | 0.0499203i | ||||
\(469\) | 12.0178 | + | 26.7410i | 0.554930 | + | 1.23479i | ||||
\(470\) | −2.26270 | − | 15.7374i | −0.104370 | − | 0.725913i | ||||
\(471\) | −14.8334 | − | 1.41642i | −0.683486 | − | 0.0652650i | ||||
\(472\) | −0.717489 | + | 1.00757i | −0.0330251 | + | 0.0463773i | ||||
\(473\) | 9.70281 | − | 7.63038i | 0.446136 | − | 0.350845i | ||||
\(474\) | 24.3245 | − | 12.5401i | 1.11726 | − | 0.575988i | ||||
\(475\) | −6.79717 | + | 1.99583i | −0.311875 | + | 0.0915749i | ||||
\(476\) | 21.2553 | + | 4.22976i | 0.974233 | + | 0.193871i | ||||
\(477\) | −2.60025 | + | 3.00085i | −0.119057 | + | 0.137400i | ||||
\(478\) | −0.603938 | − | 12.6782i | −0.0276235 | − | 0.579889i | ||||
\(479\) | 0.146651 | − | 0.423721i | 0.00670066 | − | 0.0193603i | −0.941601 | − | 0.336731i | \(-0.890679\pi\) |
0.948302 | + | 0.317371i | \(0.102800\pi\) | |||||||
\(480\) | 3.27022 | + | 13.4800i | 0.149265 | + | 0.615277i | ||||
\(481\) | −6.76745 | − | 9.50355i | −0.308569 | − | 0.433324i | ||||
\(482\) | −38.0036 | −1.73102 | ||||||||
\(483\) | −5.65882 | + | 11.3568i | −0.257485 | + | 0.516754i | ||||
\(484\) | 14.4815 | 0.658250 | ||||||||
\(485\) | 6.13195 | + | 8.61111i | 0.278437 | + | 0.391011i | ||||
\(486\) | 0.443305 | + | 1.82733i | 0.0201087 | + | 0.0828892i | ||||
\(487\) | −14.0563 | + | 40.6129i | −0.636950 | + | 1.84035i | −0.103282 | + | 0.994652i | \(0.532934\pi\) |
−0.533668 | + | 0.845694i | \(0.679187\pi\) | |||||||
\(488\) | 0.407658 | + | 8.55779i | 0.0184538 | + | 0.387393i | ||||
\(489\) | −8.62398 | + | 9.95261i | −0.389990 | + | 0.450072i | ||||
\(490\) | 6.34936 | − | 24.8594i | 0.286835 | − | 1.12303i | ||||
\(491\) | −21.5577 | + | 6.32991i | −0.972886 | + | 0.285665i | −0.729285 | − | 0.684211i | \(-0.760147\pi\) |
−0.243601 | + | 0.969876i | \(0.578329\pi\) | |||||||
\(492\) | 9.93231 | − | 5.12046i | 0.447783 | − | 0.230848i | ||||
\(493\) | −7.35055 | + | 5.78053i | −0.331052 | + | 0.260342i | ||||
\(494\) | −16.0700 | + | 22.5672i | −0.723025 | + | 1.01535i | ||||
\(495\) | −8.77096 | − | 0.837525i | −0.394225 | − | 0.0376440i | ||||
\(496\) | −3.92045 | − | 27.2674i | −0.176034 | − | 1.22434i | ||||
\(497\) | −2.72492 | − | 0.276796i | −0.122229 | − | 0.0124160i | ||||
\(498\) | 25.8104 | − | 7.57863i | 1.15659 | − | 0.339606i | ||||
\(499\) | 17.8040 | + | 14.0012i | 0.797016 | + | 0.626780i | 0.931337 | − | 0.364157i | \(-0.118643\pi\) |
−0.134321 | + | 0.990938i | \(0.542885\pi\) | |||||||
\(500\) | 18.2245 | + | 3.51249i | 0.815025 | + | 0.157083i | ||||
\(501\) | 6.73661 | + | 3.47297i | 0.300970 | + | 0.155161i | ||||
\(502\) | 17.7690 | − | 3.42469i | 0.793069 | − | 0.152852i | ||||
\(503\) | −15.7632 | − | 4.62849i | −0.702847 | − | 0.206374i | −0.0892676 | − | 0.996008i | \(-0.528453\pi\) |
−0.613579 | + | 0.789633i | \(0.710271\pi\) | |||||||
\(504\) | 2.04690 | + | 1.07093i | 0.0911761 | + | 0.0477029i | ||||
\(505\) | 15.5332 | 0.691221 | ||||||||
\(506\) | −34.8896 | + | 21.0737i | −1.55103 | + | 0.936840i | ||||
\(507\) | −3.38458 | − | 5.86227i | −0.150315 | − | 0.260353i | ||||
\(508\) | −12.2681 | + | 1.17146i | −0.544308 | + | 0.0519751i | ||||
\(509\) | 11.0698 | − | 10.5550i | 0.490658 | − | 0.467842i | −0.403894 | − | 0.914806i | \(-0.632343\pi\) |
0.894552 | + | 0.446964i | \(0.147495\pi\) | |||||||
\(510\) | −12.8034 | − | 14.7759i | −0.566944 | − | 0.654288i | ||||
\(511\) | −16.5396 | − | 0.0997776i | −0.731668 | − | 0.00441390i | ||||
\(512\) | 16.5728 | − | 19.1260i | 0.732419 | − | 0.845257i | ||||
\(513\) | −4.63971 | − | 3.64871i | −0.204848 | − | 0.161094i | ||||
\(514\) | 6.65138 | + | 6.34208i | 0.293380 | + | 0.279737i | ||||
\(515\) | −0.203718 | + | 4.27657i | −0.00897689 | + | 0.188448i | ||||
\(516\) | −3.89331 | − | 1.55865i | −0.171394 | − | 0.0686156i | ||||
\(517\) | −8.14479 | − | 17.8346i | −0.358207 | − | 0.784365i | ||||
\(518\) | −3.44792 | + | 22.9952i | −0.151493 | + | 1.01035i | ||||
\(519\) | −1.17626 | − | 8.18109i | −0.0516322 | − | 0.359110i | ||||
\(520\) | −3.77626 | + | 1.94680i | −0.165600 | + | 0.0853728i | ||||
\(521\) | 24.3330 | + | 23.2015i | 1.06605 | + | 1.01648i | 0.999826 | + | 0.0186717i | \(0.00594372\pi\) |
0.0662241 | + | 0.997805i | \(0.478905\pi\) | |||||||
\(522\) | 3.06028 | − | 1.22515i | 0.133945 | − | 0.0536235i | ||||
\(523\) | −9.60092 | − | 27.7400i | −0.419819 | − | 1.21299i | −0.934611 | − | 0.355672i | \(-0.884252\pi\) |
0.514792 | − | 0.857315i | \(-0.327869\pi\) | |||||||
\(524\) | −15.7198 | + | 10.1025i | −0.686722 | + | 0.441329i | ||||
\(525\) | 2.50782 | − | 1.94780i | 0.109450 | − | 0.0850090i | ||||
\(526\) | 8.36573 | + | 2.45640i | 0.364763 | + | 0.107104i | ||||
\(527\) | 18.0847 | + | 25.3964i | 0.787783 | + | 1.10629i | ||||
\(528\) | 10.6515 | + | 18.4490i | 0.463549 | + | 0.802890i | ||||
\(529\) | 10.7038 | − | 20.3575i | 0.465384 | − | 0.885109i | ||||
\(530\) | −7.27700 | + | 12.6041i | −0.316093 | + | 0.547489i | ||||
\(531\) | −0.588492 | + | 1.28862i | −0.0255384 | + | 0.0559212i | ||||
\(532\) | 23.5752 | − | 4.39641i | 1.02211 | − | 0.190608i | ||||
\(533\) | 11.8949 | + | 13.7274i | 0.515225 | + | 0.594602i | ||||
\(534\) | 0.808200 | + | 16.9662i | 0.0349742 | + | 0.734199i | ||||
\(535\) | 31.3685 | + | 6.04579i | 1.35618 | + | 0.261382i | ||||
\(536\) | −8.98221 | + | 3.59593i | −0.387972 | + | 0.155321i | ||||
\(537\) | 4.17481 | − | 17.2088i | 0.180157 | − | 0.742615i | ||||
\(538\) | 4.25711 | + | 2.73588i | 0.183537 | + | 0.117952i | ||||
\(539\) | −1.12408 | − | 31.6199i | −0.0484175 | − | 1.36197i | ||||
\(540\) | 1.24352 | + | 2.72293i | 0.0535127 | + | 0.117176i | ||||
\(541\) | −15.5730 | − | 1.48704i | −0.669535 | − | 0.0639328i | −0.245247 | − | 0.969461i | \(-0.578869\pi\) |
−0.424287 | + | 0.905528i | \(0.639475\pi\) | |||||||
\(542\) | 44.8465 | − | 35.2677i | 1.92632 | − | 1.51488i | ||||
\(543\) | 1.02821 | − | 21.5847i | 0.0441245 | − | 0.926288i | ||||
\(544\) | −8.94863 | + | 36.8868i | −0.383669 | + | 1.58151i | ||||
\(545\) | −3.03584 | + | 21.1147i | −0.130041 | + | 0.904455i | ||||
\(546\) | 3.00043 | − | 12.0502i | 0.128407 | − | 0.515701i | ||||
\(547\) | 24.0567 | − | 15.4603i | 1.02859 | − | 0.661036i | 0.0864524 | − | 0.996256i | \(-0.472447\pi\) |
0.942140 | + | 0.335220i | \(0.108811\pi\) | |||||||
\(548\) | 23.4314 | − | 4.51603i | 1.00094 | − | 0.192915i | ||||
\(549\) | 2.31332 | + | 9.53563i | 0.0987301 | + | 0.406971i | ||||
\(550\) | 10.1542 | − | 0.969613i | 0.432978 | − | 0.0413444i | ||||
\(551\) | −5.17388 | + | 8.96141i | −0.220415 | + | 0.381769i | ||||
\(552\) | −3.66712 | − | 2.02165i | −0.156083 | − | 0.0860470i | ||||
\(553\) | 2.06422 | − | 38.4514i | 0.0877797 | − | 1.63512i | ||||
\(554\) | −12.6419 | + | 27.6819i | −0.537103 | + | 1.17609i | ||||
\(555\) | 6.59389 | − | 6.28726i | 0.279895 | − | 0.266879i | ||||
\(556\) | −4.18722 | + | 12.0982i | −0.177578 | + | 0.513078i | ||||
\(557\) | 15.7349 | + | 8.11189i | 0.666708 | + | 0.343712i | 0.758133 | − | 0.652100i | \(-0.226112\pi\) |
−0.0914251 | + | 0.995812i | \(0.529142\pi\) | |||||||
\(558\) | −3.59462 | − | 10.3860i | −0.152172 | − | 0.439673i | ||||
\(559\) | 0.970135 | − | 6.74744i | 0.0410323 | − | 0.285386i | ||||
\(560\) | 23.2809 | + | 6.98871i | 0.983797 | + | 0.295327i | ||||
\(561\) | −20.2826 | − | 13.0349i | −0.856333 | − | 0.550332i | ||||
\(562\) | 39.3422 | + | 15.7502i | 1.65955 | + | 0.664384i | ||||
\(563\) | 7.36858 | − | 10.3477i | 0.310549 | − | 0.436105i | −0.629574 | − | 0.776940i | \(-0.716771\pi\) |
0.940123 | + | 0.340836i | \(0.110710\pi\) | |||||||
\(564\) | −3.86386 | + | 5.42604i | −0.162698 | + | 0.228477i | ||||
\(565\) | 30.1204 | + | 12.0584i | 1.26717 | + | 0.507300i | ||||
\(566\) | −49.7401 | − | 31.9660i | −2.09073 | − | 1.34363i | ||||
\(567\) | 2.53404 | + | 0.760695i | 0.106420 | + | 0.0319462i | ||||
\(568\) | 0.128638 | − | 0.894699i | 0.00539755 | − | 0.0375408i | ||||
\(569\) | 6.57757 | + | 19.0046i | 0.275746 | + | 0.796716i | 0.994808 | + | 0.101770i | \(0.0324506\pi\) |
−0.719062 | + | 0.694946i | \(0.755428\pi\) | |||||||
\(570\) | −19.2298 | − | 9.91367i | −0.805449 | − | 0.415238i | ||||
\(571\) | 3.34744 | − | 9.67178i | 0.140086 | − | 0.404751i | −0.853034 | − | 0.521856i | \(-0.825240\pi\) |
0.993120 | + | 0.117104i | \(0.0373612\pi\) | |||||||
\(572\) | 12.5395 | − | 11.9564i | 0.524301 | − | 0.499920i | ||||
\(573\) | 5.24792 | − | 11.4913i | 0.219235 | − | 0.480057i | ||||
\(574\) | 1.94062 | − | 36.1491i | 0.0810001 | − | 1.50883i | ||||
\(575\) | −4.62170 | + | 3.43075i | −0.192738 | + | 0.143072i | ||||
\(576\) | 1.97701 | − | 3.42428i | 0.0823753 | − | 0.142678i | ||||
\(577\) | −14.2930 | + | 1.36482i | −0.595027 | + | 0.0568182i | −0.388225 | − | 0.921565i | \(-0.626912\pi\) |
−0.206802 | + | 0.978383i | \(0.566306\pi\) | |||||||
\(578\) | −5.07696 | − | 20.9275i | −0.211174 | − | 0.870470i | ||||
\(579\) | 16.2847 | − | 3.13862i | 0.676770 | − | 0.130437i | ||||
\(580\) | 4.41475 | − | 2.83719i | 0.183312 | − | 0.117808i | ||||
\(581\) | 9.14526 | − | 36.7288i | 0.379409 | − | 1.52377i | ||||
\(582\) | 1.45121 | − | 10.0934i | 0.0601547 | − | 0.418385i | ||||
\(583\) | −4.23128 | + | 17.4416i | −0.175242 | + | 0.722356i | ||||
\(584\) | 0.259724 | − | 5.45228i | 0.0107475 | − | 0.225617i | ||||
\(585\) | −3.82478 | + | 3.00784i | −0.158135 | + | 0.124359i | ||||
\(586\) | −15.0504 | − | 1.43713i | −0.621724 | − | 0.0593675i | ||||
\(587\) | 1.75784 | + | 3.84914i | 0.0725539 | + | 0.158871i | 0.942434 | − | 0.334393i | \(-0.108531\pi\) |
−0.869880 | + | 0.493263i | \(0.835804\pi\) | |||||||
\(588\) | −9.11251 | + | 5.70209i | −0.375794 | + | 0.235150i | ||||
\(589\) | 29.0233 | + | 18.6521i | 1.19588 | + | 0.768547i | ||||
\(590\) | −1.22417 | + | 5.04610i | −0.0503983 | + | 0.207745i | ||||
\(591\) | 17.9144 | − | 7.17185i | 0.736901 | − | 0.295010i | ||||
\(592\) | −21.6305 | − | 4.16894i | −0.889008 | − | 0.171342i | ||||
\(593\) | 0.140792 | + | 2.95559i | 0.00578165 | + | 0.121372i | 0.999913 | + | 0.0131918i | \(0.00419921\pi\) |
−0.994131 | + | 0.108180i | \(0.965498\pi\) | |||||||
\(594\) | 5.56570 | + | 6.42316i | 0.228364 | + | 0.263546i | ||||
\(595\) | −27.0438 | + | 5.04325i | −1.10869 | + | 0.206753i | ||||
\(596\) | 11.3434 | − | 24.8386i | 0.464644 | − | 1.01743i | ||||
\(597\) | −1.37717 | + | 2.38534i | −0.0563640 | + | 0.0976253i | ||||
\(598\) | −5.91364 | + | 21.7191i | −0.241827 | + | 0.888160i | ||||
\(599\) | −19.6825 | − | 34.0911i | −0.804205 | − | 1.39292i | −0.916827 | − | 0.399286i | \(-0.869258\pi\) |
0.112622 | − | 0.993638i | \(-0.464075\pi\) | |||||||
\(600\) | 0.607862 | + | 0.853622i | 0.0248158 | + | 0.0348490i | ||||
\(601\) | −11.8138 | − | 3.46886i | −0.481897 | − | 0.141498i | 0.0317564 | − | 0.999496i | \(-0.489890\pi\) |
−0.513653 | + | 0.857998i | \(0.671708\pi\) | |||||||
\(602\) | −10.7298 | + | 8.33374i | −0.437314 | + | 0.339658i | ||||
\(603\) | −9.32188 | + | 5.99081i | −0.379616 | + | 0.243965i | ||||
\(604\) | −3.40523 | − | 9.83875i | −0.138557 | − | 0.400333i | ||||
\(605\) | −17.0657 | + | 6.83208i | −0.693820 | + | 0.277764i | ||||
\(606\) | −10.8441 | − | 10.3398i | −0.440512 | − | 0.420027i | ||||
\(607\) | 0.427227 | − | 0.220251i | 0.0173406 | − | 0.00893970i | −0.449534 | − | 0.893263i | \(-0.648410\pi\) |
0.466875 | + | 0.884323i | \(0.345380\pi\) | |||||||
\(608\) | 5.97746 | + | 41.5742i | 0.242418 | + | 1.68605i | ||||
\(609\) | 0.687779 | − | 4.58700i | 0.0278702 | − | 0.185875i | ||||
\(610\) | 14.9405 | + | 32.7151i | 0.604923 | + | 1.32460i | ||||
\(611\) | −10.0520 | − | 4.02423i | −0.406662 | − | 0.162803i | ||||
\(612\) | −0.389756 | + | 8.18198i | −0.0157549 | + | 0.330737i | ||||
\(613\) | 18.7437 | + | 17.8720i | 0.757049 | + | 0.721845i | 0.966695 | − | 0.255933i | \(-0.0823825\pi\) |
−0.209646 | + | 0.977777i | \(0.567231\pi\) | |||||||
\(614\) | 17.3888 | + | 13.6747i | 0.701754 | + | 0.551866i | ||||
\(615\) | −9.28900 | + | 10.7201i | −0.374569 | + | 0.432275i | ||||
\(616\) | 10.4415 | + | 0.0629902i | 0.420702 | + | 0.00253795i | ||||
\(617\) | 24.5611 | + | 28.3450i | 0.988792 | + | 1.14113i | 0.989991 | + | 0.141127i | \(0.0450727\pi\) |
−0.00119946 | + | 0.999999i | \(0.500382\pi\) | |||||||
\(618\) | 2.98895 | − | 2.84996i | 0.120233 | − | 0.114642i | ||||
\(619\) | −39.5235 | + | 3.77404i | −1.58858 | + | 0.151691i | −0.851591 | − | 0.524208i | \(-0.824362\pi\) |
−0.736994 | + | 0.675899i | \(0.763756\pi\) | |||||||
\(620\) | −8.74827 | − | 15.1525i | −0.351339 | − | 0.608537i | ||||
\(621\) | −4.56218 | − | 1.47869i | −0.183074 | − | 0.0593376i | ||||
\(622\) | −25.2651 | −1.01304 | ||||||||
\(623\) | 21.1764 | + | 11.0794i | 0.848415 | + | 0.443887i | ||||
\(624\) | 11.2881 | + | 3.31448i | 0.451885 | + | 0.132685i | ||||
\(625\) | −17.2413 | + | 3.32299i | −0.689653 | + | 0.132920i | ||||
\(626\) | 58.8380 | + | 30.3331i | 2.35164 | + | 1.21235i | ||||
\(627\) | −26.1972 | − | 5.04910i | −1.04622 | − | 0.201642i | ||||
\(628\) | 17.9868 | + | 14.1450i | 0.717750 | + | 0.564445i | ||||
\(629\) | 23.9212 | − | 7.02390i | 0.953802 | − | 0.280061i | ||||
\(630\) | 9.64796 | + | 0.980036i | 0.384384 | + | 0.0390456i | ||||
\(631\) | −0.782524 | − | 5.44257i | −0.0311518 | − | 0.216665i | 0.968299 | − | 0.249793i | \(-0.0803624\pi\) |
−0.999451 | + | 0.0331272i | \(0.989453\pi\) | |||||||
\(632\) | 12.6504 | + | 1.20796i | 0.503205 | + | 0.0480503i | ||||
\(633\) | 6.17786 | − | 8.67559i | 0.245548 | − | 0.344824i | ||||
\(634\) | −15.6119 | + | 12.2773i | −0.620027 | + | 0.487595i | ||||
\(635\) | 13.9047 | − | 7.16835i | 0.551790 | − | 0.284467i | ||||
\(636\) | 5.85058 | − | 1.71788i | 0.231991 | − | 0.0681186i | ||||
\(637\) | −12.4995 | − | 12.2095i | −0.495249 | − | 0.483760i | ||||
\(638\) | 9.75725 | − | 11.2605i | 0.386293 | − | 0.445806i | ||||
\(639\) | −0.0492579 | − | 1.03405i | −0.00194861 | − | 0.0409064i | ||||
\(640\) | −4.33341 | + | 12.5206i | −0.171293 | + | 0.494918i | ||||
\(641\) | −3.46002 | − | 14.2624i | −0.136663 | − | 0.563331i | −0.998429 | − | 0.0560263i | \(-0.982157\pi\) |
0.861767 | − | 0.507305i | \(-0.169358\pi\) | |||||||
\(642\) | −17.8747 | − | 25.1014i | −0.705456 | − | 0.990675i | ||||
\(643\) | 10.8949 | 0.429652 | 0.214826 | − | 0.976652i | \(-0.431082\pi\) | ||||
0.214826 | + | 0.976652i | \(0.431082\pi\) | |||||||
\(644\) | 16.7392 | − | 9.97337i | 0.659618 | − | 0.393006i | ||||
\(645\) | 5.32342 | 0.209609 | ||||||||
\(646\) | −34.3403 | − | 48.2242i | −1.35110 | − | 1.89735i | ||||
\(647\) | 5.92682 | + | 24.4307i | 0.233007 | + | 0.960469i | 0.961366 | + | 0.275273i | \(0.0887683\pi\) |
−0.728359 | + | 0.685196i | \(0.759717\pi\) | |||||||
\(648\) | −0.285578 | + | 0.825123i | −0.0112186 | + | 0.0324139i | ||||
\(649\) | 0.304675 | + | 6.39592i | 0.0119595 | + | 0.251062i | ||||
\(650\) | 3.68896 | − | 4.25729i | 0.144693 | − | 0.166984i | ||||
\(651\) | −15.1669 | − | 3.01819i | −0.594437 | − | 0.118292i | ||||
\(652\) | 19.4040 | − | 5.69752i | 0.759919 | − | 0.223132i | ||||
\(653\) | 27.9313 | − | 14.3996i | 1.09304 | − | 0.563500i | 0.185148 | − | 0.982711i | \(-0.440723\pi\) |
0.907889 | + | 0.419211i | \(0.137693\pi\) | |||||||
\(654\) | 16.1746 | − | 12.7198i | 0.632476 | − | 0.497385i | ||||
\(655\) | 13.7588 | − | 19.3216i | 0.537602 | − | 0.754956i | ||||
\(656\) | 34.1408 | + | 3.26005i | 1.33297 | + | 0.127283i | ||||
\(657\) | −0.889680 | − | 6.18786i | −0.0347097 | − | 0.241411i | ||||
\(658\) | 8.84593 | + | 19.6832i | 0.344850 | + | 0.767333i | ||||
\(659\) | −25.0222 | + | 7.34718i | −0.974726 | + | 0.286205i | −0.730046 | − | 0.683398i | \(-0.760501\pi\) |
−0.244680 | + | 0.969604i | \(0.578683\pi\) | |||||||
\(660\) | 10.6356 | + | 8.36389i | 0.413988 | + | 0.325564i | ||||
\(661\) | −28.6160 | − | 5.51528i | −1.11303 | − | 0.214520i | −0.400596 | − | 0.916255i | \(-0.631197\pi\) |
−0.712438 | + | 0.701735i | \(0.752409\pi\) | |||||||
\(662\) | −34.7667 | − | 17.9235i | −1.35125 | − | 0.696616i | ||||
\(663\) | −13.0742 | + | 2.51984i | −0.507758 | + | 0.0978623i | ||||
\(664\) | 11.9853 | + | 3.51919i | 0.465118 | + | 0.136571i | ||||
\(665\) | −25.7080 | + | 16.3032i | −0.996914 | + | 0.632213i | ||||
\(666\) | −8.78851 | −0.340548 | ||||||||
\(667\) | −1.42767 | + | 8.28548i | −0.0552797 | + | 0.320815i | ||||
\(668\) | −5.81943 | − | 10.0795i | −0.225160 | − | 0.389989i | ||||
\(669\) | 9.62856 | − | 0.919416i | 0.372262 | − | 0.0355467i | ||||
\(670\) | −29.3948 | + | 28.0279i | −1.13562 | + | 1.08281i | ||||
\(671\) | 29.0438 | + | 33.5183i | 1.12122 | + | 1.29396i | ||||
\(672\) | −9.31488 | − | 16.3610i | −0.359329 | − | 0.631139i | ||||
\(673\) | 4.61182 | − | 5.32232i | 0.177772 | − | 0.205160i | −0.659869 | − | 0.751380i | \(-0.729388\pi\) |
0.837642 | + | 0.546220i | \(0.183934\pi\) | |||||||
\(674\) | 6.71557 | + | 5.28118i | 0.258674 | + | 0.203423i | ||||
\(675\) | 0.868614 | + | 0.828221i | 0.0334330 | + | 0.0318783i | ||||
\(676\) | −0.494615 | + | 10.3832i | −0.0190237 | + | 0.399356i | ||||
\(677\) | 27.4066 | + | 10.9719i | 1.05332 | + | 0.421686i | 0.832729 | − | 0.553680i | \(-0.186777\pi\) |
0.220592 | + | 0.975366i | \(0.429201\pi\) | |||||||
\(678\) | −13.0010 | − | 28.4681i | −0.499299 | − | 1.09331i | ||||
\(679\) | −11.2247 | − | 8.93730i | −0.430764 | − | 0.342982i | ||||
\(680\) | −1.29205 | − | 8.98639i | −0.0495478 | − | 0.344612i | ||||
\(681\) | −3.76868 | + | 1.94289i | −0.144416 | + | 0.0744518i | ||||
\(682\) | −35.9526 | − | 34.2808i | −1.37670 | − | 1.31268i | ||||
\(683\) | 20.0437 | − | 8.02428i | 0.766950 | − | 0.307040i | 0.0450011 | − | 0.998987i | \(-0.485671\pi\) |
0.721949 | + | 0.691947i | \(0.243247\pi\) | |||||||
\(684\) | 2.96460 | + | 8.56566i | 0.113354 | + | 0.327516i | ||||
\(685\) | −25.4821 | + | 16.3764i | −0.973622 | + | 0.625709i | ||||
\(686\) | 1.02724 | + | 34.8091i | 0.0392202 | + | 1.32902i | ||||
\(687\) | −17.9738 | − | 5.27759i | −0.685744 | − | 0.201353i | ||||
\(688\) | −7.46595 | − | 10.4845i | −0.284637 | − | 0.399716i | ||||
\(689\) | 4.95576 | + | 8.58362i | 0.188799 | + | 0.327010i | ||||
\(690\) | −17.4455 | − | 2.15730i | −0.664140 | − | 0.0821269i | ||||
\(691\) | 3.80450 | − | 6.58958i | 0.144730 | − | 0.250679i | −0.784542 | − | 0.620075i | \(-0.787102\pi\) |
0.929272 | + | 0.369396i | \(0.120435\pi\) | |||||||
\(692\) | −5.27262 | + | 11.5454i | −0.200435 | + | 0.438892i | ||||
\(693\) | 11.7561 | − | 2.19233i | 0.446577 | − | 0.0832797i | ||||
\(694\) | 25.0150 | + | 28.8689i | 0.949557 | + | 1.09585i | ||||
\(695\) | −0.773253 | − | 16.2326i | −0.0293311 | − | 0.615736i | ||||
\(696\) | 1.50305 | + | 0.289689i | 0.0569730 | + | 0.0109806i | ||||
\(697\) | −36.0346 | + | 14.4261i | −1.36491 | + | 0.546426i | ||||
\(698\) | −12.0785 | + | 49.7881i | −0.457177 | + | 1.88451i | ||||
\(699\) | 12.8771 | + | 8.27561i | 0.487057 | + | 0.313012i | ||||
\(700\) | −4.85689 | + | 0.434226i | −0.183573 | + | 0.0164122i | ||||
\(701\) | 1.48440 | + | 3.25039i | 0.0560652 | + | 0.122766i | 0.935591 | − | 0.353085i | \(-0.114867\pi\) |
−0.879526 | + | 0.475851i | \(0.842140\pi\) | |||||||
\(702\) | 4.67236 | + | 0.446156i | 0.176347 | + | 0.0168391i | ||||
\(703\) | 21.6856 | − | 17.0537i | 0.817888 | − | 0.643194i | ||||
\(704\) | 0.850388 | − | 17.8518i | 0.0320502 | − | 0.672816i | ||||
\(705\) | 1.99347 | − | 8.21721i | 0.0750785 | − | 0.309478i | ||||
\(706\) | −6.04516 | + | 42.0450i | −0.227512 | + | 1.58238i | ||||
\(707\) | −20.2643 | + | 5.81760i | −0.762119 | + | 0.218793i | ||||
\(708\) | 1.83010 | − | 1.17614i | 0.0687795 | − | 0.0442019i | ||||
\(709\) | −30.5536 | + | 5.88873i | −1.14746 | + | 0.221156i | −0.727318 | − | 0.686300i | \(-0.759234\pi\) |
−0.420147 | + | 0.907456i | \(0.638021\pi\) | |||||||
\(710\) | −0.894577 | − | 3.68749i | −0.0335729 | − | 0.138389i | ||||
\(711\) | 14.4883 | − | 1.38346i | 0.543353 | − | 0.0518839i | ||||
\(712\) | −3.94366 | + | 6.83061i | −0.147795 | + | 0.255988i | ||||
\(713\) | 27.3665 | + | 6.06897i | 1.02488 | + | 0.227285i | ||||
\(714\) | 22.2370 | + | 14.4811i | 0.832198 | + | 0.541942i | ||||
\(715\) | −9.13636 | + | 20.0058i | −0.341681 | + | 0.748176i | ||||
\(716\) | −19.6806 | + | 18.7654i | −0.735498 | + | 0.701296i | ||||
\(717\) | 2.20777 | − | 6.37894i | 0.0824508 | − | 0.238226i | ||||
\(718\) | 11.2814 | + | 5.81598i | 0.421019 | + | 0.217050i | ||||
\(719\) | −4.40023 | − | 12.7136i | −0.164101 | − | 0.474138i | 0.832731 | − | 0.553678i | \(-0.186776\pi\) |
−0.996832 | + | 0.0795397i | \(0.974655\pi\) | |||||||
\(720\) | −1.30749 | + | 9.09376i | −0.0487271 | + | 0.338905i | ||||
\(721\) | −1.33592 | − | 5.65541i | −0.0497521 | − | 0.210619i | ||||
\(722\) | −25.0561 | − | 16.1026i | −0.932493 | − | 0.599277i | ||||
\(723\) | −18.7634 | − | 7.51172i | −0.697817 | − | 0.279364i | ||||
\(724\) | −19.2486 | + | 27.0309i | −0.715368 | + | 1.00459i | ||||
\(725\) | 1.22047 | − | 1.71390i | 0.0453270 | − | 0.0636528i | ||||
\(726\) | 16.4618 | + | 6.59031i | 0.610955 | + | 0.244589i | ||||
\(727\) | 24.1561 | + | 15.5242i | 0.895901 | + | 0.575760i | 0.905572 | − | 0.424193i | \(-0.139442\pi\) |
−0.00967125 | + | 0.999953i | \(0.503079\pi\) | |||||||
\(728\) | 4.19731 | − | 3.95406i | 0.155563 | − | 0.146547i | ||||
\(729\) | −0.142315 | + | 0.989821i | −0.00527092 | + | 0.0366601i | ||||
\(730\) | −7.49440 | − | 21.6537i | −0.277380 | − | 0.801438i | ||||
\(731\) | 12.9476 | + | 6.67498i | 0.478886 | + | 0.246883i | ||||
\(732\) | 4.92828 | − | 14.2393i | 0.182155 | − | 0.526301i | ||||
\(733\) | 1.35852 | − | 1.29535i | 0.0501782 | − | 0.0478448i | −0.664575 | − | 0.747221i | \(-0.731387\pi\) |
0.714753 | + | 0.699377i | \(0.246539\pi\) | |||||||
\(734\) | −6.34905 | + | 13.9025i | −0.234348 | + | 0.513150i | ||||
\(735\) | 8.04851 | − | 11.0187i | 0.296874 | − | 0.406432i | ||||
\(736\) | 16.2341 | + | 30.0179i | 0.598397 | + | 1.10647i | ||||
\(737\) | −25.0428 | + | 43.3754i | −0.922464 | + | 1.59776i | ||||
\(738\) | 13.6208 | − | 1.30063i | 0.501388 | − | 0.0478767i | ||||
\(739\) | 1.76443 | + | 7.27309i | 0.0649057 | + | 0.267545i | 0.995013 | − | 0.0997421i | \(-0.0318018\pi\) |
−0.930108 | + | 0.367287i | \(0.880287\pi\) | |||||||
\(740\) | −13.7383 | + | 2.64784i | −0.505029 | + | 0.0973364i | ||||
\(741\) | −12.3948 | + | 7.96564i | −0.455333 | + | 0.292625i | ||||
\(742\) | 4.77285 | − | 19.1685i | 0.175217 | − | 0.703698i | ||||
\(743\) | −7.24127 | + | 50.3641i | −0.265656 | + | 1.84768i | 0.222510 | + | 0.974930i | \(0.428575\pi\) |
−0.488166 | + | 0.872751i | \(0.662334\pi\) | |||||||
\(744\) | 1.20319 | − | 4.95963i | 0.0441112 | − | 0.181829i | ||||
\(745\) | −1.64928 | + | 34.6227i | −0.0604250 | + | 1.26848i | ||||
\(746\) | −0.867841 | + | 0.682477i | −0.0317739 | + | 0.0249873i | ||||
\(747\) | 14.2413 | + | 1.35987i | 0.521060 | + | 0.0497552i | ||||
\(748\) | 15.3805 | + | 33.6785i | 0.562366 | + | 1.23141i | ||||
\(749\) | −43.1870 | + | 3.86110i | −1.57802 | + | 0.141082i | ||||
\(750\) | 19.1182 | + | 12.2865i | 0.698098 | + | 0.448640i | ||||
\(751\) | 1.18036 | − | 4.86549i | 0.0430718 | − | 0.177544i | −0.946213 | − | 0.323545i | \(-0.895125\pi\) |
0.989284 | + | 0.146001i | \(0.0466403\pi\) | |||||||
\(752\) | −18.9796 | + | 7.59828i | −0.692114 | + | 0.277081i | ||||
\(753\) | 9.44994 | + | 1.82133i | 0.344375 | + | 0.0663728i | ||||
\(754\) | −0.391522 | − | 8.21907i | −0.0142584 | − | 0.299321i | ||||
\(755\) | 8.65462 | + | 9.98796i | 0.314974 | + | 0.363499i | ||||
\(756\) | −2.64208 | − | 3.08655i | −0.0960915 | − | 0.112257i | ||||
\(757\) | 4.59772 | − | 10.0676i | 0.167107 | − | 0.365913i | −0.807489 | − | 0.589882i | \(-0.799174\pi\) |
0.974596 | + | 0.223969i | \(0.0719015\pi\) | |||||||
\(758\) | −18.2921 | + | 31.6828i | −0.664398 | + | 1.15077i | ||||
\(759\) | −21.3913 | + | 3.50843i | −0.776454 | + | 0.127348i | ||||
\(760\) | −5.02315 | − | 8.70036i | −0.182209 | − | 0.315595i | ||||
\(761\) | 6.19275 | + | 8.69650i | 0.224487 | + | 0.315248i | 0.911424 | − | 0.411469i | \(-0.134984\pi\) |
−0.686936 | + | 0.726718i | \(0.741045\pi\) | |||||||
\(762\) | −14.4788 | − | 4.25137i | −0.524513 | − | 0.154011i | ||||
\(763\) | −3.94751 | − | 28.6828i | −0.142909 | − | 1.03839i | ||||
\(764\) | −16.3201 | + | 10.4883i | −0.590439 | + | 0.379452i | ||||
\(765\) | −3.40079 | − | 9.82594i | −0.122956 | − | 0.355257i | ||||
\(766\) | 29.6617 | − | 11.8748i | 1.07172 | − | 0.429053i | ||||
\(767\) | 2.55924 | + | 2.44023i | 0.0924087 | + | 0.0881115i | ||||
\(768\) | 18.3886 | − | 9.47998i | 0.663542 | − | 0.342079i | ||||
\(769\) | 5.16998 | + | 35.9580i | 0.186434 | + | 1.29668i | 0.841149 | + | 0.540803i | \(0.181880\pi\) |
−0.654715 | + | 0.755876i | \(0.727211\pi\) | |||||||
\(770\) | 40.7907 | − | 16.0453i | 1.46999 | − | 0.578233i | ||||
\(771\) | 2.03040 | + | 4.44595i | 0.0731229 | + | 0.160117i | ||||
\(772\) | −23.6434 | − | 9.46540i | −0.850946 | − | 0.340667i | ||||
\(773\) | −1.66897 | + | 35.0361i | −0.0600288 | + | 1.26016i | 0.745057 | + | 0.667001i | \(0.232422\pi\) |
−0.805086 | + | 0.593158i | \(0.797881\pi\) | |||||||
\(774\) | −3.71640 | − | 3.54358i | −0.133583 | − | 0.127371i | ||||
\(775\) | −5.51417 | − | 4.33639i | −0.198075 | − | 0.155768i | ||||
\(776\) | 3.10086 | − | 3.57858i | 0.111314 | − | 0.128464i | ||||
\(777\) | −6.24750 | + | 10.6718i | −0.224128 | + | 0.382849i | ||||
\(778\) | −39.0781 | − | 45.0986i | −1.40102 | − | 1.61686i | ||||
\(779\) | −31.0854 | + | 29.6399i | −1.11375 | + | 1.06196i | ||||
\(780\) | 7.43830 | − | 0.710271i | 0.266334 | − | 0.0254318i | ||||
\(781\) | −2.33959 | − | 4.05230i | −0.0837173 | − | 0.145003i | ||||
\(782\) | −39.7261 | − | 27.1218i | −1.42060 | − | 0.969872i | ||||
\(783\) | 1.75310 | 0.0626508 | ||||||||
\(784\) | −32.9892 | − | 0.398039i | −1.17819 | − | 0.0142157i | ||||
\(785\) | −27.8698 | − | 8.18332i | −0.994717 | − | 0.292075i | ||||
\(786\) | −22.4669 | + | 4.33014i | −0.801369 | + | 0.154451i | ||||
\(787\) | −11.6276 | − | 5.99444i | −0.414479 | − | 0.213679i | 0.238358 | − | 0.971177i | \(-0.423391\pi\) |
−0.652837 | + | 0.757499i | \(0.726421\pi\) | |||||||
\(788\) | −29.0973 | − | 5.60804i | −1.03655 | − | 0.199778i | ||||
\(789\) | 3.64485 | + | 2.86634i | 0.129760 | + | 0.102044i | ||||
\(790\) | 51.1853 | − | 15.0294i | 1.82109 | − | 0.534721i | ||||
\(791\) | −43.8106 | − | 4.45026i | −1.55772 | − | 0.158233i | ||||
\(792\) | 0.561660 | + | 3.90643i | 0.0199577 | + | 0.138809i | ||||
\(793\) | 24.3820 | + | 2.32820i | 0.865831 | + | 0.0826768i | ||||
\(794\) | 36.6396 | − | 51.4530i | 1.30029 | − | 1.82600i | ||||
\(795\) | −6.08415 | + | 4.78463i | −0.215783 | + | 0.169693i | ||||
\(796\) | 3.75950 | − | 1.93816i | 0.133252 | − | 0.0686962i | ||||
\(797\) | 21.1002 | − | 6.19557i | 0.747407 | − | 0.219458i | 0.114218 | − | 0.993456i | \(-0.463564\pi\) |
0.633189 | + | 0.773997i | \(0.281746\pi\) | |||||||
\(798\) | 28.7997 | + | 5.73110i | 1.01950 | + | 0.202879i | ||||
\(799\) | 15.1520 | − | 17.4864i | 0.536040 | − | 0.618623i | ||||
\(800\) | −0.406366 | − | 8.53068i | −0.0143672 | − | 0.301605i | ||||
\(801\) | −2.95448 | + | 8.53640i | −0.104391 | + | 0.301619i | ||||
\(802\) | −2.78588 | − | 11.4836i | −0.0983730 | − | 0.405499i | ||||
\(803\) | −16.3905 | − | 23.0172i | −0.578407 | − | 0.812258i | ||||
\(804\) | 17.0164 | 0.600121 | ||||||||
\(805\) | −15.0211 | + | 19.6504i | −0.529425 | + | 0.692584i | ||||
\(806\) | −27.4339 | −0.966319 | ||||||||
\(807\) | 1.56108 | + | 2.19223i | 0.0549526 | + | 0.0771701i | ||||
\(808\) | −1.64035 | − | 6.76160i | −0.0577072 | − | 0.237872i | ||||
\(809\) | 14.0091 | − | 40.4766i | 0.492534 | − | 1.42308i | −0.375614 | − | 0.926776i | \(-0.622568\pi\) |
0.868147 | − | 0.496306i | \(-0.165311\pi\) | |||||||
\(810\) | 0.174404 | + | 3.66120i | 0.00612795 | + | 0.128641i | ||||
\(811\) | 13.5381 | − | 15.6238i | 0.475387 | − | 0.548626i | −0.466515 | − | 0.884513i | \(-0.654491\pi\) |
0.941902 | + | 0.335887i | \(0.109036\pi\) | |||||||
\(812\) | −4.69679 | + | 5.35476i | −0.164825 | + | 0.187915i | ||||
\(813\) | 29.1128 | − | 8.54830i | 1.02103 | − | 0.299802i | ||||
\(814\) | −35.3080 | + | 18.2026i | −1.23755 | + | 0.637999i | ||||
\(815\) | −20.1787 | + | 15.8687i | −0.706827 | + | 0.555855i | ||||
\(816\) | −14.5827 | + | 20.4785i | −0.510495 | + | 0.716890i | ||||
\(817\) | 16.0464 | + | 1.53224i | 0.561391 | + | 0.0536064i | ||||
\(818\) | 7.30079 | + | 50.7781i | 0.255266 | + | 1.77542i | ||||
\(819\) | 3.86321 | − | 5.35644i | 0.134992 | − | 0.187169i | ||||
\(820\) | 20.9003 | − | 6.13688i | 0.729869 | − | 0.214309i | ||||
\(821\) | −14.5414 | − | 11.4355i | −0.507498 | − | 0.399101i | 0.331315 | − | 0.943520i | \(-0.392508\pi\) |
−0.838813 | + | 0.544419i | \(0.816750\pi\) | |||||||
\(822\) | 28.6907 | + | 5.52969i | 1.00070 | + | 0.192870i | ||||
\(823\) | −35.7854 | − | 18.4486i | −1.24740 | − | 0.643079i | −0.297228 | − | 0.954806i | \(-0.596062\pi\) |
−0.950172 | + | 0.311727i | \(0.899093\pi\) | |||||||
\(824\) | 1.88310 | − | 0.362937i | 0.0656008 | − | 0.0126435i | ||||
\(825\) | 5.20507 | + | 1.52835i | 0.181217 | + | 0.0532102i | ||||
\(826\) | −0.292866 | − | 7.04152i | −0.0101901 | − | 0.245006i | ||||
\(827\) | 21.8543 | 0.759950 | 0.379975 | − | 0.924997i | \(-0.375933\pi\) | ||||
0.379975 | + | 0.924997i | \(0.375933\pi\) | |||||||
\(828\) | 4.66607 | + | 5.69793i | 0.162157 | + | 0.198017i | ||||
\(829\) | −16.1444 | − | 27.9629i | −0.560718 | − | 0.971192i | −0.997434 | − | 0.0715923i | \(-0.977192\pi\) |
0.436716 | − | 0.899599i | \(-0.356141\pi\) | |||||||
\(830\) | 52.1992 | − | 4.98442i | 1.81186 | − | 0.173012i | ||||
\(831\) | −11.7132 | + | 11.1685i | −0.406326 | + | 0.387431i | ||||
\(832\) | −6.46339 | − | 7.45915i | −0.224078 | − | 0.258599i | ||||
\(833\) | 33.3919 | − | 16.7079i | 1.15696 | − | 0.578895i | ||||
\(834\) | −10.2655 | + | 11.8470i | −0.355466 | + | 0.410230i | ||||
\(835\) | 11.6132 | + | 9.13275i | 0.401893 | + | 0.316052i | ||||
\(836\) | 29.6514 | + | 28.2725i | 1.02551 | + | 0.977825i | ||||
\(837\) | 0.278114 | − | 5.83833i | 0.00961302 | − | 0.201802i | ||||
\(838\) | 34.2607 | + | 13.7159i | 1.18352 | + | 0.473808i | ||||
\(839\) | −6.04976 | − | 13.2471i | −0.208861 | − | 0.457341i | 0.775990 | − | 0.630745i | \(-0.217251\pi\) |
−0.984851 | + | 0.173404i | \(0.944523\pi\) | |||||||
\(840\) | 3.52286 | + | 2.80497i | 0.121550 | + | 0.0967806i | ||||
\(841\) | 3.68974 | + | 25.6627i | 0.127233 | + | 0.884922i | ||||
\(842\) | 25.3141 | − | 13.0503i | 0.872382 | − | 0.449744i | ||||
\(843\) | 16.3111 | + | 15.5526i | 0.561784 | + | 0.535660i | ||||
\(844\) | −15.1837 | + | 6.07864i | −0.522645 | + | 0.209235i | ||||
\(845\) | −4.31573 | − | 12.4695i | −0.148466 | − | 0.428963i | ||||
\(846\) | −6.86155 | + | 4.40965i | −0.235905 | + | 0.151607i | ||||
\(847\) | 19.7048 | − | 15.3045i | 0.677064 | − | 0.525870i | ||||
\(848\) | 17.9562 | + | 5.27241i | 0.616618 | + | 0.181055i | ||||
\(849\) | −18.2396 | − | 25.6140i | −0.625983 | − | 0.879070i | ||||
\(850\) | 6.01883 | + | 10.4249i | 0.206444 | + | 0.357572i | ||||
\(851\) | 11.7436 | − | 19.0928i | 0.402565 | − | 0.654493i | ||||
\(852\) | −0.794866 | + | 1.37675i | −0.0272317 | + | 0.0471666i | ||||
\(853\) | −7.67771 | + | 16.8118i | −0.262880 | + | 0.575626i | −0.994338 | − | 0.106259i | \(-0.966113\pi\) |
0.731459 | + | 0.681886i | \(0.238840\pi\) | |||||||
\(854\) | −31.7437 | − | 37.0839i | −1.08625 | − | 1.26898i | ||||
\(855\) | −7.53475 | − | 8.69557i | −0.257683 | − | 0.297382i | ||||
\(856\) | −0.680865 | − | 14.2931i | −0.0232715 | − | 0.488529i | ||||
\(857\) | −12.2321 | − | 2.35754i | −0.417840 | − | 0.0805321i | −0.0240019 | − | 0.999712i | \(-0.507641\pi\) |
−0.393838 | + | 0.919180i | \(0.628853\pi\) | |||||||
\(858\) | 19.6954 | − | 7.88484i | 0.672389 | − | 0.269184i | ||||
\(859\) | −0.787774 | + | 3.24725i | −0.0268785 | + | 0.110795i | −0.983671 | − | 0.179978i | \(-0.942397\pi\) |
0.956792 | + | 0.290773i | \(0.0939124\pi\) | |||||||
\(860\) | −6.87713 | − | 4.41966i | −0.234508 | − | 0.150709i | ||||
\(861\) | 8.10329 | − | 17.4642i | 0.276159 | − | 0.595177i | ||||
\(862\) | −18.6015 | − | 40.7316i | −0.633570 | − | 1.38732i | ||||
\(863\) | 34.7607 | + | 3.31925i | 1.18327 | + | 0.112988i | 0.668081 | − | 0.744089i | \(-0.267116\pi\) |
0.515188 | + | 0.857077i | \(0.327722\pi\) | |||||||
\(864\) | 5.59345 | − | 4.39874i | 0.190293 | − | 0.149648i | ||||
\(865\) | 0.766616 | − | 16.0932i | 0.0260657 | − | 0.547187i | ||||
\(866\) | −6.34903 | + | 26.1711i | −0.215749 | + | 0.889329i | ||||
\(867\) | 1.62987 | − | 11.3360i | 0.0553531 | − | 0.384989i | ||||
\(868\) | 17.0878 | + | 16.4911i | 0.579997 | + | 0.559745i | ||||
\(869\) | 55.3416 | − | 35.5659i | 1.87734 | − | 1.20649i | ||||
\(870\) | 6.30961 | − | 1.21608i | 0.213916 | − | 0.0412289i | ||||
\(871\) | 6.52105 | + | 26.8802i | 0.220957 | + | 0.910799i | ||||
\(872\) | 9.51179 | − | 0.908266i | 0.322110 | − | 0.0307578i | ||||
\(873\) | 2.71154 | − | 4.69653i | 0.0917718 | − | 0.158953i | ||||
\(874\) | −51.9651 | − | 11.5241i | −1.75775 | − | 0.389808i | ||||
\(875\) | 28.5100 | − | 14.4809i | 0.963813 | − | 0.489543i | ||||
\(876\) | −3.98801 | + | 8.73252i | −0.134742 | + | 0.295044i | ||||
\(877\) | −6.21457 | + | 5.92558i | −0.209851 | + | 0.200093i | −0.787714 | − | 0.616041i | \(-0.788735\pi\) |
0.577863 | + | 0.816134i | \(0.303887\pi\) | |||||||
\(878\) | 6.62512 | − | 19.1420i | 0.223587 | − | 0.646012i | ||||
\(879\) | −7.14669 | − | 3.68437i | −0.241052 | − | 0.124271i | ||||
\(880\) | 13.5819 | + | 39.2424i | 0.457847 | + | 1.32286i | ||||
\(881\) | 0.717892 | − | 4.99305i | 0.0241864 | − | 0.168220i | −0.974148 | − | 0.225910i | \(-0.927464\pi\) |
0.998335 | + | 0.0576900i | \(0.0183735\pi\) | |||||||
\(882\) | −12.9536 | + | 2.33487i | −0.436169 | + | 0.0786192i | ||||
\(883\) | 16.8938 | + | 10.8570i | 0.568523 | + | 0.365367i | 0.793102 | − | 0.609088i | \(-0.208465\pi\) |
−0.224580 | + | 0.974456i | \(0.572101\pi\) | |||||||
\(884\) | 18.9821 | + | 7.59928i | 0.638437 | + | 0.255591i | ||||
\(885\) | −1.60181 | + | 2.24942i | −0.0538442 | + | 0.0756135i | ||||
\(886\) | −36.8119 | + | 51.6951i | −1.23672 | + | 1.73673i | ||||
\(887\) | 6.23137 | + | 2.49466i | 0.209229 | + | 0.0837626i | 0.473910 | − | 0.880573i | \(-0.342842\pi\) |
−0.264681 | + | 0.964336i | \(0.585267\pi\) | |||||||
\(888\) | −3.43316 | − | 2.20636i | −0.115209 | − | 0.0740406i | ||||
\(889\) | −15.4550 | + | 14.5593i | −0.518344 | + | 0.488304i | ||||
\(890\) | −4.71203 | + | 32.7729i | −0.157948 | + | 1.09855i | ||||
\(891\) | 1.47834 | + | 4.27139i | 0.0495263 | + | 0.143097i | ||||
\(892\) | −13.2021 | − | 6.80617i | −0.442040 | − | 0.227887i | ||||
\(893\) | 8.37409 | − | 24.1953i | 0.280228 | − | 0.809666i | ||||
\(894\) | 24.1983 | − | 23.0730i | 0.809312 | − | 0.771677i | ||||
\(895\) | 14.3395 | − | 31.3990i | 0.479315 | − | 1.04955i | ||||
\(896\) | 0.964004 | − | 17.9570i | 0.0322051 | − | 0.599902i | ||||
\(897\) | −7.21267 | + | 9.55440i | −0.240824 | + | 0.319012i | ||||
\(898\) | −36.2817 | + | 62.8417i | −1.21074 | + | 2.09706i | ||||
\(899\) | −10.2004 | + | 0.974020i | −0.340202 | + | 0.0324854i | ||||
\(900\) | −0.434516 | − | 1.79110i | −0.0144839 | − | 0.0597033i | ||||
\(901\) | −20.7973 | + | 4.00835i | −0.692859 | + | 0.133538i | ||||
\(902\) | 52.0279 | − | 33.4363i | 1.73234 | − | 1.11331i | ||||
\(903\) | −6.94481 | + | 1.99375i | −0.231109 | + | 0.0663480i | ||||
\(904\) | 2.06822 | − | 14.3848i | 0.0687878 | − | 0.478430i | ||||
\(905\) | 9.93087 | − | 40.9356i | 0.330113 | − | 1.36075i | ||||
\(906\) | 0.606588 | − | 12.7338i | 0.0201525 | − | 0.423054i | ||||
\(907\) | −24.4088 | + | 19.1953i | −0.810480 | + | 0.637368i | −0.934920 | − | 0.354859i | \(-0.884529\pi\) |
0.124440 | + | 0.992227i | \(0.460286\pi\) | |||||||
\(908\) | 6.48168 | + | 0.618925i | 0.215102 | + | 0.0205398i | ||||
\(909\) | −3.31027 | − | 7.24848i | −0.109795 | − | 0.240417i | ||||
\(910\) | 10.1885 | − | 21.9582i | 0.337746 | − | 0.727908i | ||||
\(911\) | −15.5294 | − | 9.98012i | −0.514511 | − | 0.330656i | 0.257486 | − | 0.966282i | \(-0.417106\pi\) |
−0.771997 | + | 0.635626i | \(0.780742\pi\) | |||||||
\(912\) | −6.55862 | + | 27.0350i | −0.217177 | + | 0.895218i | ||||
\(913\) | 60.0311 | − | 24.0328i | 1.98674 | − | 0.795370i | ||||
\(914\) | 35.2495 | + | 6.79378i | 1.16595 | + | 0.224718i | ||||
\(915\) | 0.910103 | + | 19.1054i | 0.0300871 | + | 0.631606i | ||||
\(916\) | 18.8381 | + | 21.7404i | 0.622429 | + | 0.718322i | ||||
\(917\) | −10.7131 | + | 30.3595i | −0.353776 | + | 1.00256i | ||||
\(918\) | −4.16655 | + | 9.12348i | −0.137517 | + | 0.301120i | ||||
\(919\) | −7.70169 | + | 13.3397i | −0.254055 | + | 0.440036i | −0.964638 | − | 0.263577i | \(-0.915098\pi\) |
0.710583 | + | 0.703613i | \(0.248431\pi\) | |||||||
\(920\) | −6.27337 | − | 5.22244i | −0.206827 | − | 0.172179i | ||||
\(921\) | 5.88238 | + | 10.1886i | 0.193831 | + | 0.335725i | ||||
\(922\) | −32.2849 | − | 45.3378i | −1.06325 | − | 1.49312i | ||||
\(923\) | −2.47941 | − | 0.728021i | −0.0816108 | − | 0.0239631i | ||||
\(924\) | −17.0074 | − | 6.92807i | −0.559503 | − | 0.227917i | ||||
\(925\) | −4.71906 | + | 3.03276i | −0.155162 | + | 0.0997164i | ||||
\(926\) | 5.55813 | + | 16.0592i | 0.182652 | + | 0.527737i | ||||
\(927\) | 2.03904 | − | 0.816309i | 0.0669709 | − | 0.0268111i | ||||
\(928\) | −9.02847 | − | 8.60863i | −0.296374 | − | 0.282592i | ||||
\(929\) | −19.7543 | + | 10.1840i | −0.648116 | + | 0.334127i | −0.750745 | − | 0.660593i | \(-0.770305\pi\) |
0.102628 | + | 0.994720i | \(0.467275\pi\) | |||||||
\(930\) | −3.04892 | − | 21.2057i | −0.0999781 | − | 0.695363i | ||||
\(931\) | 27.4321 | − | 30.8972i | 0.899052 | − | 1.01261i | ||||
\(932\) | −9.76481 | − | 21.3819i | −0.319857 | − | 0.700389i | ||||
\(933\) | −12.4740 | − | 4.99385i | −0.408382 | − | 0.163491i | ||||
\(934\) | −1.69678 | + | 35.6199i | −0.0555205 | + | 1.16552i | ||||
\(935\) | −34.0140 | − | 32.4323i | −1.11238 | − | 1.06065i | ||||
\(936\) | 1.71321 | + | 1.34729i | 0.0559981 | + | 0.0440374i | ||||
\(937\) | 4.86295 | − | 5.61214i | 0.158866 | − | 0.183341i | −0.670736 | − | 0.741696i | \(-0.734022\pi\) |
0.829602 | + | 0.558355i | \(0.188567\pi\) | |||||||
\(938\) | 27.8507 | − | 47.5737i | 0.909358 | − | 1.55334i | ||||
\(939\) | 23.0543 | + | 26.6060i | 0.752347 | + | 0.868255i | ||||
\(940\) | −9.39748 | + | 8.96048i | −0.306512 | + | 0.292259i | ||||
\(941\) | −47.9154 | + | 4.57537i | −1.56200 | + | 0.149153i | −0.839940 | − | 0.542680i | \(-0.817410\pi\) |
−0.722058 | + | 0.691833i | \(0.756804\pi\) | |||||||
\(942\) | 14.0093 | + | 24.2648i | 0.456446 | + | 0.790588i | ||||
\(943\) | −15.3751 | + | 31.3287i | −0.500682 | + | 1.02020i | ||||
\(944\) | 6.67673 | 0.217309 | ||||||||
\(945\) | 4.56974 | + | 2.39087i | 0.148653 | + | 0.0777749i | ||||
\(946\) | −22.2701 | − | 6.53909i | −0.724063 | − | 0.212604i | ||||
\(947\) | −5.40450 | + | 1.04163i | −0.175623 | + | 0.0338485i | −0.276304 | − | 0.961070i | \(-0.589110\pi\) |
0.100682 | + | 0.994919i | \(0.467898\pi\) | |||||||
\(948\) | −19.8655 | − | 10.2414i | −0.645202 | − | 0.332625i | ||||
\(949\) | −15.3227 | − | 2.95322i | −0.497397 | − | 0.0958655i | ||||
\(950\) | 10.4706 | + | 8.23419i | 0.339712 | + | 0.267152i | ||||
\(951\) | −10.1347 | + | 2.97582i | −0.328640 | + | 0.0964975i | ||||
\(952\) | 5.05121 | + | 11.2395i | 0.163711 | + | 0.364276i | ||||
\(953\) | −3.45978 | − | 24.0633i | −0.112073 | − | 0.779487i | −0.965897 | − | 0.258925i | \(-0.916632\pi\) |
0.853824 | − | 0.520562i | \(-0.174277\pi\) | |||||||
\(954\) | 7.43242 | + | 0.709710i | 0.240633 | + | 0.0229777i | ||||
\(955\) | 14.2842 | − | 20.0594i | 0.462227 | − | 0.649106i | ||||
\(956\) | −8.14814 | + | 6.40777i | −0.263530 | + | 0.207242i | ||||
\(957\) | 7.04313 | − | 3.63098i | 0.227672 | − | 0.117373i | ||||
\(958\) | −0.808953 | + | 0.237530i | −0.0261361 | + | 0.00767425i | ||||
\(959\) | 27.1101 | − | 30.9080i | 0.875430 | − | 0.998070i | ||||
\(960\) | 5.04741 | − | 5.82502i | 0.162904 | − | 0.188002i | ||||
\(961\) | 0.150523 | + | 3.15986i | 0.00485557 | + | 0.101931i | ||||
\(962\) | −7.17507 | + | 20.7310i | −0.231334 | + | 0.668395i | ||||
\(963\) | −3.86368 | − | 15.9263i | −0.124505 | − | 0.513218i | ||||
\(964\) | 18.0033 | + | 25.2821i | 0.579847 | + | 0.814281i | ||||
\(965\) | 32.3282 | 1.04068 | ||||||||
\(966\) | 23.5670 | − | 3.71943i | 0.758256 | − | 0.119671i | ||||
\(967\) | 52.0428 | 1.67358 | 0.836792 | − | 0.547521i | \(-0.184428\pi\) | ||||
0.836792 | + | 0.547521i | \(0.184428\pi\) | |||||||
\(968\) | 4.77618 | + | 6.70720i | 0.153512 | + | 0.215578i | ||||
\(969\) | −7.42279 | − | 30.5972i | −0.238454 | − | 0.982922i | ||||
\(970\) | 6.50130 | − | 18.7843i | 0.208744 | − | 0.603126i | ||||
\(971\) | 0.550872 | + | 11.5642i | 0.0176783 | + | 0.371113i | 0.990320 | + | 0.138803i | \(0.0443255\pi\) |
−0.972642 | + | 0.232310i | \(0.925371\pi\) | |||||||
\(972\) | 1.00563 | − | 1.16056i | 0.0322557 | − | 0.0372250i | ||||
\(973\) | 7.08828 | + | 20.8871i | 0.227240 | + | 0.669608i | ||||
\(974\) | 77.5368 | − | 22.7669i | 2.48444 | − | 0.729497i | ||||
\(975\) | 2.66282 | − | 1.37278i | 0.0852785 | − | 0.0439641i | ||||
\(976\) | 36.3517 | − | 28.5873i | 1.16359 | − | 0.915057i | ||||
\(977\) | 4.85100 | − | 6.81228i | 0.155197 | − | 0.217944i | −0.729655 | − | 0.683815i | \(-0.760320\pi\) |
0.884853 | + | 0.465871i | \(0.154259\pi\) | |||||||
\(978\) | 24.6503 | + | 2.35382i | 0.788230 | + | 0.0752668i | ||||
\(979\) | 5.81071 | + | 40.4144i | 0.185711 | + | 1.29165i | ||||
\(980\) | −19.5457 | + | 7.55260i | −0.624364 | + | 0.241259i | ||||
\(981\) | 10.5000 | − | 3.08307i | 0.335239 | − | 0.0984350i | ||||
\(982\) | 33.2083 | + | 26.1153i | 1.05972 | + | 0.833373i | ||||
\(983\) | −46.1312 | − | 8.89107i | −1.47136 | − | 0.283581i | −0.610334 | − | 0.792145i | \(-0.708965\pi\) |
−0.861024 | + | 0.508564i | \(0.830177\pi\) | |||||||
\(984\) | 5.64738 | + | 2.91142i | 0.180032 | + | 0.0928128i | ||||
\(985\) | 36.9355 | − | 7.11873i | 1.17686 | − | 0.226822i | ||||
\(986\) | 16.8711 | + | 4.95381i | 0.537286 | + | 0.157761i | ||||
\(987\) | 0.476910 | + | 11.4666i | 0.0151802 | + | 0.364986i | ||||
\(988\) | 22.6257 | 0.719819 | ||||||||
\(989\) | 12.6643 | − | 3.33869i | 0.402702 | − | 0.106164i | ||||
\(990\) | 8.28366 | + | 14.3477i | 0.263272 | + | 0.456001i | ||||
\(991\) | −29.1062 | + | 2.77931i | −0.924589 | + | 0.0882876i | −0.546479 | − | 0.837473i | \(-0.684032\pi\) |
−0.378110 | + | 0.925761i | \(0.623426\pi\) | |||||||
\(992\) | −30.1015 | + | 28.7017i | −0.955723 | + | 0.911280i | ||||
\(993\) | −13.6225 | − | 15.7212i | −0.432297 | − | 0.498898i | ||||
\(994\) | 2.54811 | + | 4.47558i | 0.0808210 | + | 0.141957i | ||||
\(995\) | −3.51600 | + | 4.05768i | −0.111465 | + | 0.128637i | ||||
\(996\) | −17.2688 | − | 13.5803i | −0.547182 | − | 0.430309i | ||||
\(997\) | 23.5690 | + | 22.4730i | 0.746439 | + | 0.711728i | 0.964464 | − | 0.264215i | \(-0.0851130\pi\) |
−0.218025 | + | 0.975943i | \(0.569961\pi\) | |||||||
\(998\) | 2.02648 | − | 42.5410i | 0.0641470 | − | 1.34661i | ||||
\(999\) | −4.33912 | − | 1.73712i | −0.137284 | − | 0.0549600i |
(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 | 483.2.y.a.121.3 | yes | 320 | |
7.4 | even | 3 | inner | 483.2.y.a.466.14 | yes | 320 | |
23.4 | even | 11 | inner | 483.2.y.a.142.14 | yes | 320 | |
161.4 | even | 33 | inner | 483.2.y.a.4.3 | ✓ | 320 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.y.a.4.3 | ✓ | 320 | 161.4 | even | 33 | inner | |
483.2.y.a.121.3 | yes | 320 | 1.1 | even | 1 | trivial | |
483.2.y.a.142.14 | yes | 320 | 23.4 | even | 11 | inner | |
483.2.y.a.466.14 | yes | 320 | 7.4 | even | 3 | inner |