Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(317,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 4, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.317");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.bv (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: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(36\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 515.29 | ||
Character | \(\chi\) | \(=\) | 546.515 |
Dual form | 546.2.bv.a.317.29 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.965926 | + | 0.258819i | 0.683013 | + | 0.183013i | ||||
\(3\) | 0.541568 | − | 1.64521i | 0.312675 | − | 0.949860i | ||||
\(4\) | 0.866025 | + | 0.500000i | 0.433013 | + | 0.250000i | ||||
\(5\) | 2.59930 | + | 0.696480i | 1.16244 | + | 0.311475i | 0.787940 | − | 0.615751i | \(-0.211147\pi\) |
0.374501 | + | 0.927227i | \(0.377814\pi\) | |||||||
\(6\) | 0.948926 | − | 1.44898i | 0.387397 | − | 0.591543i | ||||
\(7\) | −2.64286 | − | 0.123744i | −0.998906 | − | 0.0467709i | ||||
\(8\) | 0.707107 | + | 0.707107i | 0.250000 | + | 0.250000i | ||||
\(9\) | −2.41341 | − | 1.78198i | −0.804469 | − | 0.593995i | ||||
\(10\) | 2.33047 | + | 1.34550i | 0.736958 | + | 0.425483i | ||||
\(11\) | 2.18309 | − | 0.584957i | 0.658226 | − | 0.176371i | 0.0857806 | − | 0.996314i | \(-0.472662\pi\) |
0.572445 | + | 0.819943i | \(0.305995\pi\) | |||||||
\(12\) | 1.29162 | − | 1.15401i | 0.372857 | − | 0.333133i | ||||
\(13\) | 3.60118 | + | 0.177392i | 0.998789 | + | 0.0491996i | ||||
\(14\) | −2.52078 | − | 0.803549i | −0.673706 | − | 0.214758i | ||||
\(15\) | 2.55355 | − | 3.89919i | 0.659324 | − | 1.00677i | ||||
\(16\) | 0.500000 | + | 0.866025i | 0.125000 | + | 0.216506i | ||||
\(17\) | 2.76493 | − | 4.78900i | 0.670594 | − | 1.16150i | −0.307142 | − | 0.951664i | \(-0.599373\pi\) |
0.977736 | − | 0.209839i | \(-0.0672941\pi\) | |||||||
\(18\) | −1.86996 | − | 2.34590i | −0.440754 | − | 0.552934i | ||||
\(19\) | −1.13617 | + | 4.24023i | −0.260654 | + | 0.972776i | 0.704202 | + | 0.709999i | \(0.251305\pi\) |
−0.964857 | + | 0.262776i | \(0.915362\pi\) | |||||||
\(20\) | 1.90282 | + | 1.90282i | 0.425483 | + | 0.425483i | ||||
\(21\) | −1.63487 | + | 4.28103i | −0.356758 | + | 0.934197i | ||||
\(22\) | 2.26010 | 0.481855 | ||||||||
\(23\) | 0.278595 | + | 0.482540i | 0.0580910 | + | 0.100617i | 0.893608 | − | 0.448847i | \(-0.148165\pi\) |
−0.835517 | + | 0.549464i | \(0.814832\pi\) | |||||||
\(24\) | 1.54628 | − | 0.780390i | 0.315634 | − | 0.159296i | ||||
\(25\) | 1.94114 | + | 1.12072i | 0.388227 | + | 0.224143i | ||||
\(26\) | 3.43257 | + | 1.10340i | 0.673181 | + | 0.216395i | ||||
\(27\) | −4.23876 | + | 3.00549i | −0.815749 | + | 0.578406i | ||||
\(28\) | −2.22691 | − | 1.42859i | −0.420846 | − | 0.269979i | ||||
\(29\) | − | 3.74020i | − | 0.694537i | −0.937766 | − | 0.347269i | \(-0.887109\pi\) | ||
0.937766 | − | 0.347269i | \(-0.112891\pi\) | |||||||
\(30\) | 3.47572 | − | 3.10542i | 0.634578 | − | 0.566970i | ||||
\(31\) | −6.07629 | + | 1.62814i | −1.09133 | + | 0.292422i | −0.759231 | − | 0.650821i | \(-0.774425\pi\) |
−0.332103 | + | 0.943243i | \(0.607758\pi\) | |||||||
\(32\) | 0.258819 | + | 0.965926i | 0.0457532 | + | 0.170753i | ||||
\(33\) | 0.219917 | − | 3.90842i | 0.0382827 | − | 0.680369i | ||||
\(34\) | 3.91020 | − | 3.91020i | 0.670594 | − | 0.670594i | ||||
\(35\) | −6.78338 | − | 2.16234i | −1.14660 | − | 0.365503i | ||||
\(36\) | −1.19908 | − | 2.74995i | −0.199847 | − | 0.458324i | ||||
\(37\) | −5.40435 | − | 1.44809i | −0.888470 | − | 0.238065i | −0.214412 | − | 0.976743i | \(-0.568783\pi\) |
−0.674058 | + | 0.738679i | \(0.735450\pi\) | |||||||
\(38\) | −2.19491 | + | 3.80169i | −0.356061 | + | 0.616715i | ||||
\(39\) | 2.24213 | − | 5.82862i | 0.359029 | − | 0.933327i | ||||
\(40\) | 1.34550 | + | 2.33047i | 0.212742 | + | 0.368479i | ||||
\(41\) | −2.93748 | + | 2.93748i | −0.458757 | + | 0.458757i | −0.898247 | − | 0.439491i | \(-0.855159\pi\) |
0.439491 | + | 0.898247i | \(0.355159\pi\) | |||||||
\(42\) | −2.68718 | + | 3.71202i | −0.414640 | + | 0.572777i | ||||
\(43\) | 4.32548i | 0.659629i | 0.944046 | + | 0.329815i | \(0.106986\pi\) | ||||
−0.944046 | + | 0.329815i | \(0.893014\pi\) | |||||||
\(44\) | 2.18309 | + | 0.584957i | 0.329113 | + | 0.0881855i | ||||
\(45\) | −5.03205 | − | 6.31279i | −0.750133 | − | 0.941056i | ||||
\(46\) | 0.144211 | + | 0.538204i | 0.0212628 | + | 0.0793538i | ||||
\(47\) | −2.24392 | + | 8.37442i | −0.327309 | + | 1.22153i | 0.584661 | + | 0.811278i | \(0.301228\pi\) |
−0.911970 | + | 0.410257i | \(0.865439\pi\) | |||||||
\(48\) | 1.69557 | − | 0.353591i | 0.244735 | − | 0.0510365i | ||||
\(49\) | 6.96937 | + | 0.654076i | 0.995625 | + | 0.0934394i | ||||
\(50\) | 1.58493 | + | 1.58493i | 0.224143 | + | 0.224143i | ||||
\(51\) | −6.38149 | − | 7.14245i | −0.893588 | − | 1.00014i | ||||
\(52\) | 3.03002 | + | 1.95422i | 0.420188 | + | 0.271001i | ||||
\(53\) | 9.23165 | + | 5.32989i | 1.26806 | + | 0.732117i | 0.974621 | − | 0.223859i | \(-0.0718656\pi\) |
0.293443 | + | 0.955977i | \(0.405199\pi\) | |||||||
\(54\) | −4.87220 | + | 1.80601i | −0.663023 | + | 0.245766i | ||||
\(55\) | 6.08191 | 0.820084 | ||||||||
\(56\) | −1.78128 | − | 1.95628i | −0.238034 | − | 0.261419i | ||||
\(57\) | 6.36074 | + | 4.16560i | 0.842501 | + | 0.551748i | ||||
\(58\) | 0.968035 | − | 3.61275i | 0.127109 | − | 0.474378i | ||||
\(59\) | −2.68732 | + | 0.720065i | −0.349859 | + | 0.0937445i | −0.429469 | − | 0.903082i | \(-0.641299\pi\) |
0.0796097 | + | 0.996826i | \(0.474633\pi\) | |||||||
\(60\) | 4.16103 | − | 2.10002i | 0.537187 | − | 0.271112i | ||||
\(61\) | −6.48698 | − | 11.2358i | −0.830573 | − | 1.43859i | −0.897585 | − | 0.440842i | \(-0.854680\pi\) |
0.0670122 | − | 0.997752i | \(-0.478653\pi\) | |||||||
\(62\) | −6.29064 | −0.798912 | ||||||||
\(63\) | 6.15778 | + | 5.00817i | 0.775807 | + | 0.630970i | ||||
\(64\) | 1.00000i | 0.125000i | ||||||||
\(65\) | 9.23700 | + | 2.96925i | 1.14571 | + | 0.368290i | ||||
\(66\) | 1.22400 | − | 3.71833i | 0.150664 | − | 0.457695i | ||||
\(67\) | −12.6447 | + | 3.38815i | −1.54480 | + | 0.413928i | −0.927813 | − | 0.373045i | \(-0.878314\pi\) |
−0.616988 | + | 0.786973i | \(0.711647\pi\) | |||||||
\(68\) | 4.78900 | − | 2.76493i | 0.580752 | − | 0.335297i | ||||
\(69\) | 0.944757 | − | 0.197017i | 0.113735 | − | 0.0237181i | ||||
\(70\) | −5.99259 | − | 3.84433i | −0.716252 | − | 0.459486i | ||||
\(71\) | 11.0594 | − | 11.0594i | 1.31251 | − | 1.31251i | 0.392948 | − | 0.919561i | \(-0.371455\pi\) |
0.919561 | − | 0.392948i | \(-0.128545\pi\) | |||||||
\(72\) | −0.446484 | − | 2.96659i | −0.0526186 | − | 0.349616i | ||||
\(73\) | 0.788281 | + | 2.94191i | 0.0922614 | + | 0.344324i | 0.996590 | − | 0.0825128i | \(-0.0262945\pi\) |
−0.904329 | + | 0.426837i | \(0.859628\pi\) | |||||||
\(74\) | −4.84541 | − | 2.79750i | −0.563267 | − | 0.325202i | ||||
\(75\) | 2.89507 | − | 2.58663i | 0.334294 | − | 0.298678i | ||||
\(76\) | −3.10406 | + | 3.10406i | −0.356061 | + | 0.356061i | ||||
\(77\) | −5.84197 | + | 1.27581i | −0.665755 | + | 0.145392i | ||||
\(78\) | 3.67429 | − | 5.04971i | 0.416032 | − | 0.571767i | ||||
\(79\) | 3.11621 | + | 5.39743i | 0.350600 | + | 0.607258i | 0.986355 | − | 0.164634i | \(-0.0526442\pi\) |
−0.635754 | + | 0.771891i | \(0.719311\pi\) | |||||||
\(80\) | 0.696480 | + | 2.59930i | 0.0778688 | + | 0.290610i | ||||
\(81\) | 2.64907 | + | 8.60130i | 0.294341 | + | 0.955700i | ||||
\(82\) | −3.59766 | + | 2.07711i | −0.397295 | + | 0.229378i | ||||
\(83\) | −11.5170 | + | 11.5170i | −1.26416 | + | 1.26416i | −0.315095 | + | 0.949060i | \(0.602036\pi\) |
−0.949060 | + | 0.315095i | \(0.897964\pi\) | |||||||
\(84\) | −3.55635 | + | 2.89004i | −0.388030 | + | 0.315329i | ||||
\(85\) | 10.5223 | − | 10.5223i | 1.14131 | − | 1.14131i | ||||
\(86\) | −1.11952 | + | 4.17809i | −0.120721 | + | 0.450535i | ||||
\(87\) | −6.15340 | − | 2.02557i | −0.659713 | − | 0.217164i | ||||
\(88\) | 1.95730 | + | 1.13005i | 0.208649 | + | 0.120464i | ||||
\(89\) | 0.622170 | − | 2.32197i | 0.0659499 | − | 0.246128i | −0.925079 | − | 0.379774i | \(-0.876002\pi\) |
0.991029 | + | 0.133646i | \(0.0426684\pi\) | |||||||
\(90\) | −3.22671 | − | 7.40008i | −0.340126 | − | 0.780037i | ||||
\(91\) | −9.49546 | − | 0.914446i | −0.995395 | − | 0.0958600i | ||||
\(92\) | 0.557190i | 0.0580910i | ||||||||
\(93\) | −0.612106 | + | 10.8785i | −0.0634724 | + | 1.12805i | ||||
\(94\) | −4.33492 | + | 7.50830i | −0.447113 | + | 0.774422i | ||||
\(95\) | −5.90647 | + | 10.2303i | −0.605991 | + | 1.04961i | ||||
\(96\) | 1.72932 | + | 0.0973042i | 0.176498 | + | 0.00993107i | ||||
\(97\) | −1.99264 | − | 1.99264i | −0.202321 | − | 0.202321i | 0.598672 | − | 0.800994i | \(-0.295695\pi\) |
−0.800994 | + | 0.598672i | \(0.795695\pi\) | |||||||
\(98\) | 6.56261 | + | 2.43560i | 0.662924 | + | 0.246032i | ||||
\(99\) | −6.31106 | − | 2.47849i | −0.634286 | − | 0.249097i | ||||
\(100\) | 1.12072 | + | 1.94114i | 0.112072 | + | 0.194114i | ||||
\(101\) | −7.61277 | + | 13.1857i | −0.757499 | + | 1.31203i | 0.186623 | + | 0.982432i | \(0.440246\pi\) |
−0.944122 | + | 0.329596i | \(0.893088\pi\) | |||||||
\(102\) | −4.31545 | − | 8.55073i | −0.427293 | − | 0.846648i | ||||
\(103\) | 1.47984 | − | 0.854387i | 0.145813 | − | 0.0841852i | −0.425319 | − | 0.905044i | \(-0.639838\pi\) |
0.571132 | + | 0.820858i | \(0.306505\pi\) | |||||||
\(104\) | 2.42099 | + | 2.67186i | 0.237397 | + | 0.261997i | ||||
\(105\) | −7.23117 | + | 9.98901i | −0.705690 | + | 0.974827i | ||||
\(106\) | 7.53761 | + | 7.53761i | 0.732117 | + | 0.732117i | ||||
\(107\) | 4.66367 | − | 2.69257i | 0.450854 | − | 0.260301i | −0.257337 | − | 0.966322i | \(-0.582845\pi\) |
0.708191 | + | 0.706021i | \(0.249512\pi\) | |||||||
\(108\) | −5.17361 | + | 0.483450i | −0.497831 | + | 0.0465200i | ||||
\(109\) | 2.97844 | − | 0.798071i | 0.285283 | − | 0.0764414i | −0.113340 | − | 0.993556i | \(-0.536155\pi\) |
0.398623 | + | 0.917115i | \(0.369488\pi\) | |||||||
\(110\) | 5.87467 | + | 1.57411i | 0.560128 | + | 0.150086i | ||||
\(111\) | −5.30923 | + | 8.10703i | −0.503930 | + | 0.769485i | ||||
\(112\) | −1.21426 | − | 2.35065i | −0.114737 | − | 0.222116i | ||||
\(113\) | 0.511037i | 0.0480743i | 0.999711 | + | 0.0240372i | \(0.00765200\pi\) | ||||
−0.999711 | + | 0.0240372i | \(0.992348\pi\) | |||||||
\(114\) | 5.06587 | + | 5.66995i | 0.474462 | + | 0.531039i | ||||
\(115\) | 0.388071 | + | 1.44830i | 0.0361878 | + | 0.135055i | ||||
\(116\) | 1.87010 | − | 3.23911i | 0.173634 | − | 0.300744i | ||||
\(117\) | −8.37502 | − | 6.84537i | −0.774271 | − | 0.632855i | ||||
\(118\) | −2.78212 | −0.256115 | ||||||||
\(119\) | −7.89992 | + | 12.3145i | −0.724185 | + | 1.12887i | ||||
\(120\) | 4.56278 | − | 0.951510i | 0.416523 | − | 0.0868606i | ||||
\(121\) | −5.10258 | + | 2.94598i | −0.463871 | + | 0.267816i | ||||
\(122\) | −3.35791 | − | 12.5319i | −0.304011 | − | 1.13458i | ||||
\(123\) | 3.24191 | + | 6.42360i | 0.292313 | + | 0.579196i | ||||
\(124\) | −6.07629 | − | 1.62814i | −0.545667 | − | 0.146211i | ||||
\(125\) | −5.24905 | − | 5.24905i | −0.469490 | − | 0.469490i | ||||
\(126\) | 4.65175 | + | 6.43127i | 0.414411 | + | 0.572943i | ||||
\(127\) | − | 11.9980i | − | 1.06465i | −0.846541 | − | 0.532324i | \(-0.821319\pi\) | ||
0.846541 | − | 0.532324i | \(-0.178681\pi\) | |||||||
\(128\) | −0.258819 | + | 0.965926i | −0.0228766 | + | 0.0853766i | ||||
\(129\) | 7.11631 | + | 2.34254i | 0.626556 | + | 0.206249i | ||||
\(130\) | 8.15376 | + | 5.25878i | 0.715132 | + | 0.461226i | ||||
\(131\) | 1.45433 | − | 0.839655i | 0.127065 | − | 0.0733610i | −0.435120 | − | 0.900372i | \(-0.643294\pi\) |
0.562185 | + | 0.827011i | \(0.309961\pi\) | |||||||
\(132\) | 2.14467 | − | 3.27484i | 0.186669 | − | 0.285038i | ||||
\(133\) | 3.52743 | − | 11.0657i | 0.305867 | − | 0.959520i | ||||
\(134\) | −13.0908 | −1.13087 | ||||||||
\(135\) | −13.1110 | + | 4.85995i | −1.12842 | + | 0.418278i | ||||
\(136\) | 5.34143 | − | 1.43123i | 0.458024 | − | 0.122727i | ||||
\(137\) | −11.1177 | + | 2.97898i | −0.949849 | + | 0.254511i | −0.700298 | − | 0.713850i | \(-0.746950\pi\) |
−0.249551 | + | 0.968362i | \(0.580283\pi\) | |||||||
\(138\) | 0.963557 | + | 0.0542169i | 0.0820234 | + | 0.00461525i | ||||
\(139\) | −7.70378 | −0.653426 | −0.326713 | − | 0.945124i | \(-0.605941\pi\) | ||||
−0.326713 | + | 0.945124i | \(0.605941\pi\) | |||||||
\(140\) | −4.79341 | − | 5.26434i | −0.405117 | − | 0.444918i | ||||
\(141\) | 12.5624 | + | 8.22703i | 1.05795 | + | 0.692841i | ||||
\(142\) | 13.5449 | − | 7.82017i | 1.13667 | − | 0.656254i | ||||
\(143\) | 7.96547 | − | 1.71928i | 0.666106 | − | 0.143773i | ||||
\(144\) | 0.336539 | − | 2.98106i | 0.0280449 | − | 0.248422i | ||||
\(145\) | 2.60497 | − | 9.72189i | 0.216331 | − | 0.807359i | ||||
\(146\) | 3.04569i | 0.252063i | ||||||||
\(147\) | 4.85048 | − | 11.1118i | 0.400061 | − | 0.916488i | ||||
\(148\) | −3.95626 | − | 3.95626i | −0.325202 | − | 0.325202i | ||||
\(149\) | 9.63616 | + | 2.58200i | 0.789425 | + | 0.211526i | 0.630936 | − | 0.775835i | \(-0.282671\pi\) |
0.158489 | + | 0.987361i | \(0.449338\pi\) | |||||||
\(150\) | 3.46589 | − | 1.74919i | 0.282989 | − | 0.142821i | ||||
\(151\) | −1.00696 | − | 3.75803i | −0.0819453 | − | 0.305824i | 0.912773 | − | 0.408467i | \(-0.133937\pi\) |
−0.994718 | + | 0.102643i | \(0.967270\pi\) | |||||||
\(152\) | −3.80169 | + | 2.19491i | −0.308358 | + | 0.178030i | ||||
\(153\) | −15.2068 | + | 6.63075i | −1.22940 | + | 0.536064i | ||||
\(154\) | −5.97312 | − | 0.279674i | −0.481327 | − | 0.0225368i | ||||
\(155\) | −16.9281 | −1.35969 | ||||||||
\(156\) | 4.85606 | − | 3.92667i | 0.388796 | − | 0.314385i | ||||
\(157\) | 3.21184 | − | 5.56308i | 0.256333 | − | 0.443982i | −0.708924 | − | 0.705285i | \(-0.750819\pi\) |
0.965257 | + | 0.261303i | \(0.0841523\pi\) | |||||||
\(158\) | 1.61307 | + | 6.02005i | 0.128329 | + | 0.478929i | ||||
\(159\) | 13.7683 | − | 12.3015i | 1.09190 | − | 0.975569i | ||||
\(160\) | 2.69099i | 0.212742i | ||||||||
\(161\) | −0.676575 | − | 1.30976i | −0.0533215 | − | 0.103223i | ||||
\(162\) | 0.332623 | + | 8.99385i | 0.0261334 | + | 0.706624i | ||||
\(163\) | 18.2988 | + | 4.90314i | 1.43327 | + | 0.384043i | 0.890171 | − | 0.455626i | \(-0.150584\pi\) |
0.543098 | + | 0.839669i | \(0.317251\pi\) | |||||||
\(164\) | −4.01267 | + | 1.07519i | −0.313337 | + | 0.0839583i | ||||
\(165\) | 3.29377 | − | 10.0060i | 0.256420 | − | 0.778965i | ||||
\(166\) | −14.1054 | + | 8.14375i | −1.09479 | + | 0.632078i | ||||
\(167\) | 17.0012 | + | 17.0012i | 1.31559 | + | 1.31559i | 0.917226 | + | 0.398366i | \(0.130423\pi\) |
0.398366 | + | 0.917226i | \(0.369577\pi\) | |||||||
\(168\) | −4.18317 | + | 1.87111i | −0.322739 | + | 0.144360i | ||||
\(169\) | 12.9371 | + | 1.27764i | 0.995159 | + | 0.0982800i | ||||
\(170\) | 12.8872 | − | 7.44040i | 0.988400 | − | 0.570653i | ||||
\(171\) | 10.2981 | − | 8.20877i | 0.787512 | − | 0.627741i | ||||
\(172\) | −2.16274 | + | 3.74597i | −0.164907 | + | 0.285628i | ||||
\(173\) | −6.50218 | − | 11.2621i | −0.494351 | − | 0.856242i | 0.505627 | − | 0.862752i | \(-0.331261\pi\) |
−0.999979 | + | 0.00651019i | \(0.997928\pi\) | |||||||
\(174\) | −5.41947 | − | 3.54917i | −0.410849 | − | 0.269062i | ||||
\(175\) | −4.99146 | − | 3.20210i | −0.377319 | − | 0.242056i | ||||
\(176\) | 1.59813 | + | 1.59813i | 0.120464 | + | 0.120464i | ||||
\(177\) | −0.270712 | + | 4.81116i | −0.0203480 | + | 0.361629i | ||||
\(178\) | 1.20194 | − | 2.08182i | 0.0900892 | − | 0.156039i | ||||
\(179\) | 5.11914 | − | 8.86662i | 0.382623 | − | 0.662722i | −0.608814 | − | 0.793313i | \(-0.708354\pi\) |
0.991436 | + | 0.130591i | \(0.0416876\pi\) | |||||||
\(180\) | −1.20148 | − | 7.98306i | −0.0895534 | − | 0.595023i | ||||
\(181\) | − | 4.29099i | − | 0.318947i | −0.987202 | − | 0.159474i | \(-0.949020\pi\) | ||
0.987202 | − | 0.159474i | \(-0.0509797\pi\) | |||||||
\(182\) | −8.93524 | − | 3.34089i | −0.662324 | − | 0.247643i | ||||
\(183\) | −21.9983 | + | 4.58748i | −1.62616 | + | 0.339116i | ||||
\(184\) | −0.144211 | + | 0.538204i | −0.0106314 | + | 0.0396769i | ||||
\(185\) | −13.0389 | − | 7.52804i | −0.958642 | − | 0.553472i | ||||
\(186\) | −3.40681 | + | 10.3494i | −0.249800 | + | 0.758855i | ||||
\(187\) | 3.23473 | − | 12.0722i | 0.236547 | − | 0.882805i | ||||
\(188\) | −6.13050 | + | 6.13050i | −0.447113 | + | 0.447113i | ||||
\(189\) | 11.5743 | − | 7.41855i | 0.841909 | − | 0.539620i | ||||
\(190\) | −8.35301 | + | 8.35301i | −0.605991 | + | 0.605991i | ||||
\(191\) | 19.1767 | − | 11.0717i | 1.38758 | − | 0.801117i | 0.394534 | − | 0.918882i | \(-0.370906\pi\) |
0.993042 | + | 0.117765i | \(0.0375729\pi\) | |||||||
\(192\) | 1.64521 | + | 0.541568i | 0.118733 | + | 0.0390843i | ||||
\(193\) | −3.74867 | − | 13.9902i | −0.269835 | − | 1.00704i | −0.959224 | − | 0.282647i | \(-0.908788\pi\) |
0.689389 | − | 0.724391i | \(-0.257879\pi\) | |||||||
\(194\) | −1.40901 | − | 2.44047i | −0.101161 | − | 0.175216i | ||||
\(195\) | 9.88749 | − | 13.5887i | 0.708058 | − | 0.973109i | ||||
\(196\) | 5.70862 | + | 4.05113i | 0.407758 | + | 0.289367i | ||||
\(197\) | −6.50161 | + | 6.50161i | −0.463220 | + | 0.463220i | −0.899710 | − | 0.436489i | \(-0.856222\pi\) |
0.436489 | + | 0.899710i | \(0.356222\pi\) | |||||||
\(198\) | −5.45454 | − | 4.02746i | −0.387637 | − | 0.286219i | ||||
\(199\) | −13.5577 | − | 7.82757i | −0.961083 | − | 0.554882i | −0.0645771 | − | 0.997913i | \(-0.520570\pi\) |
−0.896506 | + | 0.443031i | \(0.853903\pi\) | |||||||
\(200\) | 0.580125 | + | 2.16506i | 0.0410211 | + | 0.153093i | ||||
\(201\) | −1.27379 | + | 22.6381i | −0.0898462 | + | 1.59677i | ||||
\(202\) | −10.7661 | + | 10.7661i | −0.757499 | + | 0.757499i | ||||
\(203\) | −0.462828 | + | 9.88480i | −0.0324841 | + | 0.693777i | ||||
\(204\) | −1.95531 | − | 9.37629i | −0.136899 | − | 0.656472i | ||||
\(205\) | −9.68127 | + | 5.58948i | −0.676169 | + | 0.390386i | ||||
\(206\) | 1.65055 | − | 0.442263i | 0.114999 | − | 0.0308139i | ||||
\(207\) | 0.187516 | − | 1.66102i | 0.0130333 | − | 0.115449i | ||||
\(208\) | 1.64697 | + | 3.20741i | 0.114197 | + | 0.222394i | ||||
\(209\) | 9.92141i | 0.686278i | ||||||||
\(210\) | −9.57012 | + | 7.77708i | −0.660401 | + | 0.536669i | ||||
\(211\) | −6.50168 | −0.447594 | −0.223797 | − | 0.974636i | \(-0.571845\pi\) | ||||
−0.223797 | + | 0.974636i | \(0.571845\pi\) | |||||||
\(212\) | 5.32989 | + | 9.23165i | 0.366059 | + | 0.634032i | ||||
\(213\) | −12.2056 | − | 24.1844i | −0.836312 | − | 1.65709i | ||||
\(214\) | 5.20165 | − | 1.39378i | 0.355577 | − | 0.0952766i | ||||
\(215\) | −3.01261 | + | 11.2432i | −0.205458 | + | 0.766780i | ||||
\(216\) | −5.12245 | − | 0.872053i | −0.348539 | − | 0.0593357i | ||||
\(217\) | 16.2602 | − | 3.55103i | 1.10382 | − | 0.241060i | ||||
\(218\) | 3.08351 | 0.208842 | ||||||||
\(219\) | 5.26695 | + | 0.296358i | 0.355908 | + | 0.0200260i | ||||
\(220\) | 5.26709 | + | 3.04095i | 0.355107 | + | 0.205021i | ||||
\(221\) | 10.8066 | − | 16.7556i | 0.726927 | − | 1.12710i | ||||
\(222\) | −7.22658 | + | 6.45666i | −0.485016 | + | 0.433343i | ||||
\(223\) | −13.2014 | − | 13.2014i | −0.884033 | − | 0.884033i | 0.109909 | − | 0.993942i | \(-0.464944\pi\) |
−0.993942 | + | 0.109909i | \(0.964944\pi\) | |||||||
\(224\) | −0.564494 | − | 2.58483i | −0.0377168 | − | 0.172706i | ||||
\(225\) | −2.68766 | − | 6.16382i | −0.179177 | − | 0.410921i | ||||
\(226\) | −0.132266 | + | 0.493624i | −0.00879821 | + | 0.0328354i | ||||
\(227\) | −5.44708 | − | 20.3288i | −0.361535 | − | 1.34927i | −0.872057 | − | 0.489403i | \(-0.837215\pi\) |
0.510522 | − | 0.859865i | \(-0.329452\pi\) | |||||||
\(228\) | 3.42576 | + | 6.78789i | 0.226877 | + | 0.449539i | ||||
\(229\) | 22.6907 | + | 6.07994i | 1.49944 | + | 0.401774i | 0.912913 | − | 0.408155i | \(-0.133828\pi\) |
0.586528 | + | 0.809929i | \(0.300494\pi\) | |||||||
\(230\) | 1.49939i | 0.0988670i | ||||||||
\(231\) | −1.06485 | + | 10.3022i | −0.0700622 | + | 0.677834i | ||||
\(232\) | 2.64472 | − | 2.64472i | 0.173634 | − | 0.173634i | ||||
\(233\) | 6.17835 | + | 10.7012i | 0.404757 | + | 0.701060i | 0.994293 | − | 0.106682i | \(-0.0340227\pi\) |
−0.589536 | + | 0.807742i | \(0.700689\pi\) | |||||||
\(234\) | −6.31793 | − | 8.77973i | −0.413016 | − | 0.573949i | ||||
\(235\) | −11.6652 | + | 20.2048i | −0.760956 | + | 1.31801i | ||||
\(236\) | −2.68732 | − | 0.720065i | −0.174930 | − | 0.0468723i | ||||
\(237\) | 10.5675 | − | 2.20373i | 0.686434 | − | 0.143147i | ||||
\(238\) | −10.8180 | + | 9.85024i | −0.701224 | + | 0.638496i | ||||
\(239\) | 16.2855 | − | 16.2855i | 1.05342 | − | 1.05342i | 0.0549281 | − | 0.998490i | \(-0.482507\pi\) |
0.998490 | − | 0.0549281i | \(-0.0174930\pi\) | |||||||
\(240\) | 4.65357 | + | 0.261845i | 0.300387 | + | 0.0169020i | ||||
\(241\) | 6.85601 | + | 25.5870i | 0.441635 | + | 1.64820i | 0.724672 | + | 0.689094i | \(0.241991\pi\) |
−0.283037 | + | 0.959109i | \(0.591342\pi\) | |||||||
\(242\) | −5.69119 | + | 1.52495i | −0.365843 | + | 0.0980275i | ||||
\(243\) | 15.5856 | + | 0.299929i | 0.999815 | + | 0.0192405i | ||||
\(244\) | − | 12.9740i | − | 0.830573i | ||||||
\(245\) | 17.6599 | + | 6.55417i | 1.12825 | + | 0.418730i | ||||
\(246\) | 1.46889 | + | 7.04379i | 0.0936533 | + | 0.449096i | ||||
\(247\) | −4.84373 | + | 15.0683i | −0.308199 | + | 0.958774i | ||||
\(248\) | −5.44786 | − | 3.14532i | −0.345939 | − | 0.199728i | ||||
\(249\) | 12.7106 | + | 25.1851i | 0.805501 | + | 1.59604i | ||||
\(250\) | −3.71164 | − | 6.42875i | −0.234745 | − | 0.406590i | ||||
\(251\) | 7.25002 | 0.457617 | 0.228809 | − | 0.973471i | \(-0.426517\pi\) | ||||
0.228809 | + | 0.973471i | \(0.426517\pi\) | |||||||
\(252\) | 2.82871 | + | 7.41609i | 0.178192 | + | 0.467170i | ||||
\(253\) | 0.890462 | + | 0.890462i | 0.0559829 | + | 0.0559829i | ||||
\(254\) | 3.10530 | − | 11.5891i | 0.194844 | − | 0.727167i | ||||
\(255\) | −11.6128 | − | 23.0099i | −0.727223 | − | 1.44094i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −2.28655 | − | 3.96041i | −0.142631 | − | 0.247044i | 0.785856 | − | 0.618410i | \(-0.212223\pi\) |
−0.928487 | + | 0.371366i | \(0.878889\pi\) | |||||||
\(258\) | 6.26753 | + | 4.10456i | 0.390199 | + | 0.255539i | ||||
\(259\) | 14.1037 | + | 4.49585i | 0.876363 | + | 0.279359i | ||||
\(260\) | 6.51486 | + | 7.18994i | 0.404034 | + | 0.445901i | ||||
\(261\) | −6.66497 | + | 9.02662i | −0.412551 | + | 0.558734i | ||||
\(262\) | 1.62209 | − | 0.434637i | 0.100213 | − | 0.0268520i | ||||
\(263\) | −1.07612 | − | 0.621300i | −0.0663566 | − | 0.0383110i | 0.466455 | − | 0.884545i | \(-0.345531\pi\) |
−0.532811 | + | 0.846234i | \(0.678864\pi\) | |||||||
\(264\) | 2.91918 | − | 2.60817i | 0.179663 | − | 0.160522i | ||||
\(265\) | 20.2836 | + | 20.2836i | 1.24601 | + | 1.24601i | ||||
\(266\) | 6.27125 | − | 9.77570i | 0.384515 | − | 0.599387i | ||||
\(267\) | −3.48317 | − | 2.28110i | −0.213167 | − | 0.139601i | ||||
\(268\) | −12.6447 | − | 3.38815i | −0.772400 | − | 0.206964i | ||||
\(269\) | −11.7975 | − | 6.81128i | −0.719305 | − | 0.415291i | 0.0951919 | − | 0.995459i | \(-0.469654\pi\) |
−0.814497 | + | 0.580168i | \(0.802987\pi\) | |||||||
\(270\) | −13.9221 | + | 1.30096i | −0.847275 | + | 0.0791739i | ||||
\(271\) | −5.14549 | − | 1.37873i | −0.312566 | − | 0.0837518i | 0.0991259 | − | 0.995075i | \(-0.468395\pi\) |
−0.411692 | + | 0.911323i | \(0.635062\pi\) | |||||||
\(272\) | 5.52986 | 0.335297 | ||||||||
\(273\) | −6.64689 | + | 15.1268i | −0.402288 | + | 0.915513i | ||||
\(274\) | −11.5099 | −0.695338 | ||||||||
\(275\) | 4.89324 | + | 1.31114i | 0.295074 | + | 0.0790648i | ||||
\(276\) | 0.916692 | + | 0.301756i | 0.0551784 | + | 0.0181636i | ||||
\(277\) | −11.6295 | − | 6.71427i | −0.698746 | − | 0.403421i | 0.108134 | − | 0.994136i | \(-0.465512\pi\) |
−0.806880 | + | 0.590715i | \(0.798846\pi\) | |||||||
\(278\) | −7.44128 | − | 1.99389i | −0.446298 | − | 0.119585i | ||||
\(279\) | 17.5659 | + | 6.89850i | 1.05164 | + | 0.413002i | ||||
\(280\) | −3.26757 | − | 6.32558i | −0.195275 | − | 0.378026i | ||||
\(281\) | −5.89904 | − | 5.89904i | −0.351907 | − | 0.351907i | 0.508912 | − | 0.860819i | \(-0.330048\pi\) |
−0.860819 | + | 0.508912i | \(0.830048\pi\) | |||||||
\(282\) | 10.0050 | + | 11.1981i | 0.595792 | + | 0.666837i | ||||
\(283\) | −0.174267 | − | 0.100613i | −0.0103591 | − | 0.00598084i | 0.494811 | − | 0.869000i | \(-0.335237\pi\) |
−0.505171 | + | 0.863019i | \(0.668570\pi\) | |||||||
\(284\) | 15.1074 | − | 4.04802i | 0.896460 | − | 0.240206i | ||||
\(285\) | 13.6322 | + | 15.2578i | 0.807502 | + | 0.903792i | ||||
\(286\) | 8.13903 | + | 0.400923i | 0.481271 | + | 0.0237070i | ||||
\(287\) | 8.12682 | − | 7.39983i | 0.479711 | − | 0.436798i | ||||
\(288\) | 1.09663 | − | 2.79238i | 0.0646194 | − | 0.164543i | ||||
\(289\) | −6.78968 | − | 11.7601i | −0.399393 | − | 0.691769i | ||||
\(290\) | 5.03242 | − | 8.71641i | 0.295514 | − | 0.511845i | ||||
\(291\) | −4.35744 | + | 2.19915i | −0.255438 | + | 0.128916i | ||||
\(292\) | −0.788281 | + | 2.94191i | −0.0461307 | + | 0.172162i | ||||
\(293\) | 11.7557 | + | 11.7557i | 0.686775 | + | 0.686775i | 0.961518 | − | 0.274743i | \(-0.0885927\pi\) |
−0.274743 | + | 0.961518i | \(0.588593\pi\) | |||||||
\(294\) | 7.56116 | − | 9.47781i | 0.440976 | − | 0.552757i | ||||
\(295\) | −7.48666 | −0.435890 | ||||||||
\(296\) | −2.79750 | − | 4.84541i | −0.162601 | − | 0.281634i | ||||
\(297\) | −7.49550 | + | 9.04073i | −0.434933 | + | 0.524596i | ||||
\(298\) | 8.63954 | + | 4.98804i | 0.500475 | + | 0.288950i | ||||
\(299\) | 0.917673 | + | 1.78714i | 0.0530704 | + | 0.103353i | ||||
\(300\) | 3.80052 | − | 0.792550i | 0.219423 | − | 0.0457579i | ||||
\(301\) | 0.535253 | − | 11.4316i | 0.0308514 | − | 0.658908i | ||||
\(302\) | − | 3.89060i | − | 0.223879i | ||||||
\(303\) | 17.5704 | + | 19.6655i | 1.00939 | + | 1.12976i | ||||
\(304\) | −4.24023 | + | 1.13617i | −0.243194 | + | 0.0651636i | ||||
\(305\) | −9.03610 | − | 33.7232i | −0.517406 | − | 1.93098i | ||||
\(306\) | −16.4048 | + | 2.46899i | −0.937801 | + | 0.141143i | ||||
\(307\) | −3.14361 | + | 3.14361i | −0.179415 | + | 0.179415i | −0.791101 | − | 0.611686i | \(-0.790492\pi\) |
0.611686 | + | 0.791101i | \(0.290492\pi\) | |||||||
\(308\) | −5.69720 | − | 1.81610i | −0.324628 | − | 0.103482i | ||||
\(309\) | −0.604207 | − | 2.89735i | −0.0343721 | − | 0.164825i | ||||
\(310\) | −16.3513 | − | 4.38130i | −0.928689 | − | 0.248841i | ||||
\(311\) | 11.7086 | − | 20.2798i | 0.663932 | − | 1.14996i | −0.315642 | − | 0.948878i | \(-0.602220\pi\) |
0.979574 | − | 0.201085i | \(-0.0644468\pi\) | |||||||
\(312\) | 5.70689 | − | 2.53603i | 0.323089 | − | 0.143574i | ||||
\(313\) | 6.73002 | + | 11.6567i | 0.380403 | + | 0.658878i | 0.991120 | − | 0.132971i | \(-0.0424518\pi\) |
−0.610717 | + | 0.791849i | \(0.709119\pi\) | |||||||
\(314\) | 4.54223 | − | 4.54223i | 0.256333 | − | 0.256333i | ||||
\(315\) | 12.5178 | + | 17.3065i | 0.705299 | + | 0.975110i | ||||
\(316\) | 6.23241i | 0.350600i | ||||||||
\(317\) | 9.06323 | + | 2.42848i | 0.509042 | + | 0.136397i | 0.504193 | − | 0.863591i | \(-0.331790\pi\) |
0.00484849 | + | 0.999988i | \(0.498457\pi\) | |||||||
\(318\) | 16.4831 | − | 8.31879i | 0.924324 | − | 0.466495i | ||||
\(319\) | −2.18785 | − | 8.16518i | −0.122496 | − | 0.457162i | ||||
\(320\) | −0.696480 | + | 2.59930i | −0.0389344 | + | 0.145305i | ||||
\(321\) | −1.90414 | − | 9.13091i | −0.106279 | − | 0.509638i | ||||
\(322\) | −0.314530 | − | 1.44024i | −0.0175281 | − | 0.0802615i | ||||
\(323\) | 17.1650 | + | 17.1650i | 0.955089 | + | 0.955089i | ||||
\(324\) | −2.00649 | + | 8.77348i | −0.111472 | + | 0.487416i | ||||
\(325\) | 6.79159 | + | 4.38025i | 0.376730 | + | 0.242972i | ||||
\(326\) | 16.4062 | + | 9.47214i | 0.908657 | + | 0.524613i | ||||
\(327\) | 0.300039 | − | 5.33236i | 0.0165922 | − | 0.294880i | ||||
\(328\) | −4.15422 | −0.229378 | ||||||||
\(329\) | 6.96664 | − | 21.8547i | 0.384083 | − | 1.20489i | ||||
\(330\) | 5.77128 | − | 8.81255i | 0.317698 | − | 0.485115i | ||||
\(331\) | 4.83760 | − | 18.0542i | 0.265899 | − | 0.992347i | −0.695800 | − | 0.718236i | \(-0.744950\pi\) |
0.961698 | − | 0.274111i | \(-0.0883835\pi\) | |||||||
\(332\) | −15.7325 | + | 4.21552i | −0.863434 | + | 0.231356i | ||||
\(333\) | 10.4624 | + | 13.1253i | 0.573337 | + | 0.719262i | ||||
\(334\) | 12.0217 | + | 20.8221i | 0.657796 | + | 1.13934i | ||||
\(335\) | −35.2272 | −1.92467 | ||||||||
\(336\) | −4.52491 | + | 0.724673i | −0.246854 | + | 0.0395342i | ||||
\(337\) | − | 3.09879i | − | 0.168802i | −0.996432 | − | 0.0844010i | \(-0.973102\pi\) | ||
0.996432 | − | 0.0844010i | \(-0.0268977\pi\) | |||||||
\(338\) | 12.1656 | + | 4.58246i | 0.661720 | + | 0.249253i | ||||
\(339\) | 0.840761 | + | 0.276761i | 0.0456639 | + | 0.0150316i | ||||
\(340\) | 14.3738 | − | 3.85144i | 0.779526 | − | 0.208873i | ||||
\(341\) | −12.3127 | + | 7.10874i | −0.666770 | + | 0.384960i | ||||
\(342\) | 12.0717 | − | 5.26373i | 0.652765 | − | 0.284630i | ||||
\(343\) | −18.3381 | − | 2.59105i | −0.990165 | − | 0.139903i | ||||
\(344\) | −3.05858 | + | 3.05858i | −0.164907 | + | 0.164907i | ||||
\(345\) | 2.59292 | + | 0.145897i | 0.139598 | + | 0.00785484i | ||||
\(346\) | −3.36577 | − | 12.5612i | −0.180945 | − | 0.675297i | ||||
\(347\) | −25.8669 | − | 14.9343i | −1.38861 | − | 0.801714i | −0.395451 | − | 0.918487i | \(-0.629412\pi\) |
−0.993159 | + | 0.116773i | \(0.962745\pi\) | |||||||
\(348\) | −4.31621 | − | 4.83090i | −0.231373 | − | 0.258963i | ||||
\(349\) | 6.81363 | − | 6.81363i | 0.364725 | − | 0.364725i | −0.500824 | − | 0.865549i | \(-0.666970\pi\) |
0.865549 | + | 0.500824i | \(0.166970\pi\) | |||||||
\(350\) | −3.99262 | − | 4.38487i | −0.213415 | − | 0.234381i | ||||
\(351\) | −15.7977 | + | 10.0714i | −0.843218 | + | 0.537571i | ||||
\(352\) | 1.13005 | + | 1.95730i | 0.0602318 | + | 0.104325i | ||||
\(353\) | 5.45562 | + | 20.3606i | 0.290373 | + | 1.08369i | 0.944823 | + | 0.327582i | \(0.106234\pi\) |
−0.654450 | + | 0.756106i | \(0.727100\pi\) | |||||||
\(354\) | −1.50671 | + | 4.57716i | −0.0800806 | + | 0.243273i | ||||
\(355\) | 36.4493 | − | 21.0440i | 1.93453 | − | 1.11690i | ||||
\(356\) | 1.69980 | − | 1.69980i | 0.0900892 | − | 0.0900892i | ||||
\(357\) | 15.9815 | + | 19.6661i | 0.845832 | + | 1.04084i | ||||
\(358\) | 7.23956 | − | 7.23956i | 0.382623 | − | 0.382623i | ||||
\(359\) | 7.21572 | − | 26.9294i | 0.380831 | − | 1.42128i | −0.463804 | − | 0.885938i | \(-0.653516\pi\) |
0.844635 | − | 0.535343i | \(-0.179818\pi\) | |||||||
\(360\) | 0.905624 | − | 8.02202i | 0.0477306 | − | 0.422797i | ||||
\(361\) | −0.234202 | − | 0.135217i | −0.0123264 | − | 0.00711667i | ||||
\(362\) | 1.11059 | − | 4.14478i | 0.0583714 | − | 0.217845i | ||||
\(363\) | 2.08334 | + | 9.99024i | 0.109347 | + | 0.524352i | ||||
\(364\) | −7.76609 | − | 5.53966i | −0.407054 | − | 0.290357i | ||||
\(365\) | 8.19591i | 0.428994i | ||||||||
\(366\) | −22.4361 | − | 1.26242i | −1.17275 | − | 0.0659878i | ||||
\(367\) | 15.5044 | − | 26.8544i | 0.809323 | − | 1.40179i | −0.104010 | − | 0.994576i | \(-0.533167\pi\) |
0.913333 | − | 0.407213i | \(-0.133499\pi\) | |||||||
\(368\) | −0.278595 | + | 0.482540i | −0.0145228 | + | 0.0251542i | ||||
\(369\) | 12.3239 | − | 1.85479i | 0.641555 | − | 0.0965566i | ||||
\(370\) | −10.6463 | − | 10.6463i | −0.553472 | − | 0.553472i | ||||
\(371\) | −23.7384 | − | 15.2285i | −1.23243 | − | 0.790625i | ||||
\(372\) | −5.96935 | + | 9.11501i | −0.309496 | + | 0.472591i | ||||
\(373\) | −3.71391 | − | 6.43269i | −0.192299 | − | 0.333072i | 0.753713 | − | 0.657204i | \(-0.228261\pi\) |
−0.946012 | + | 0.324132i | \(0.894928\pi\) | |||||||
\(374\) | 6.24902 | − | 10.8236i | 0.323129 | − | 0.559676i | ||||
\(375\) | −11.4785 | + | 5.79305i | −0.592747 | + | 0.299152i | ||||
\(376\) | −7.50830 | + | 4.33492i | −0.387211 | + | 0.223556i | ||||
\(377\) | 0.663480 | − | 13.4691i | 0.0341709 | − | 0.693696i | ||||
\(378\) | 13.1000 | − | 4.17011i | 0.673792 | − | 0.214487i | ||||
\(379\) | 0.401121 | + | 0.401121i | 0.0206042 | + | 0.0206042i | 0.717334 | − | 0.696730i | \(-0.245362\pi\) |
−0.696730 | + | 0.717334i | \(0.745362\pi\) | |||||||
\(380\) | −10.2303 | + | 5.90647i | −0.524804 | + | 0.302996i | ||||
\(381\) | −19.7391 | − | 6.49772i | −1.01127 | − | 0.332888i | ||||
\(382\) | 21.3888 | − | 5.73111i | 1.09435 | − | 0.293229i | ||||
\(383\) | −30.5310 | − | 8.18076i | −1.56006 | − | 0.418018i | −0.627379 | − | 0.778714i | \(-0.715872\pi\) |
−0.932683 | + | 0.360696i | \(0.882539\pi\) | |||||||
\(384\) | 1.44898 | + | 0.948926i | 0.0739429 | + | 0.0484247i | ||||
\(385\) | −16.0736 | − | 0.752600i | −0.819187 | − | 0.0383561i | ||||
\(386\) | − | 14.4837i | − | 0.737203i | ||||||
\(387\) | 7.70793 | − | 10.4391i | 0.391816 | − | 0.530651i | ||||
\(388\) | −0.729355 | − | 2.72199i | −0.0370274 | − | 0.138188i | ||||
\(389\) | 0.939259 | − | 1.62684i | 0.0476223 | − | 0.0824843i | −0.841232 | − | 0.540675i | \(-0.818169\pi\) |
0.888854 | + | 0.458191i | \(0.151502\pi\) | |||||||
\(390\) | 13.0676 | − | 10.5666i | 0.661704 | − | 0.535062i | ||||
\(391\) | 3.08118 | 0.155822 | ||||||||
\(392\) | 4.46559 | + | 5.39059i | 0.225546 | + | 0.272266i | ||||
\(393\) | −0.593789 | − | 2.84740i | −0.0299527 | − | 0.143632i | ||||
\(394\) | −7.96281 | + | 4.59733i | −0.401161 | + | 0.231610i | ||||
\(395\) | 4.34075 | + | 16.1999i | 0.218407 | + | 0.815105i | ||||
\(396\) | −4.22630 | − | 5.30197i | −0.212379 | − | 0.266434i | ||||
\(397\) | 29.5975 | + | 7.93063i | 1.48546 | + | 0.398027i | 0.908201 | − | 0.418535i | \(-0.137456\pi\) |
0.577257 | + | 0.816563i | \(0.304123\pi\) | |||||||
\(398\) | −11.0699 | − | 11.0699i | −0.554882 | − | 0.554882i | ||||
\(399\) | −16.2951 | − | 11.7962i | −0.815773 | − | 0.590548i | ||||
\(400\) | 2.24143i | 0.112072i | ||||||||
\(401\) | 5.22555 | − | 19.5020i | 0.260951 | − | 0.973884i | −0.703731 | − | 0.710467i | \(-0.748484\pi\) |
0.964682 | − | 0.263417i | \(-0.0848494\pi\) | |||||||
\(402\) | −7.08956 | + | 21.5371i | −0.353595 | + | 1.07417i | ||||
\(403\) | −22.1707 | + | 4.78534i | −1.10440 | + | 0.238375i | ||||
\(404\) | −13.1857 | + | 7.61277i | −0.656014 | + | 0.378750i | ||||
\(405\) | 0.895086 | + | 24.2024i | 0.0444772 | + | 1.20263i | ||||
\(406\) | −3.00543 | + | 9.42820i | −0.149157 | + | 0.467914i | ||||
\(407\) | −12.6452 | −0.626801 | ||||||||
\(408\) | 0.538079 | − | 9.56287i | 0.0266389 | − | 0.473433i | ||||
\(409\) | 12.7811 | − | 3.42469i | 0.631985 | − | 0.169340i | 0.0714147 | − | 0.997447i | \(-0.477249\pi\) |
0.560570 | + | 0.828107i | \(0.310582\pi\) | |||||||
\(410\) | −10.7981 | + | 2.89333i | −0.533278 | + | 0.142891i | ||||
\(411\) | −1.11996 | + | 19.9042i | −0.0552436 | + | 0.981803i | ||||
\(412\) | 1.70877 | 0.0841852 | ||||||||
\(413\) | 7.19131 | − | 1.57049i | 0.353861 | − | 0.0772787i | ||||
\(414\) | 0.611030 | − | 1.55589i | 0.0300305 | − | 0.0764677i | ||||
\(415\) | −37.9575 | + | 21.9148i | −1.86326 | + | 1.07575i | ||||
\(416\) | 0.760708 | + | 3.52439i | 0.0372968 | + | 0.172797i | ||||
\(417\) | −4.17212 | + | 12.6743i | −0.204310 | + | 0.620664i | ||||
\(418\) | −2.56785 | + | 9.58334i | −0.125598 | + | 0.468737i | ||||
\(419\) | 1.60403i | 0.0783619i | 0.999232 | + | 0.0391809i | \(0.0124749\pi\) | ||||
−0.999232 | + | 0.0391809i | \(0.987525\pi\) | |||||||
\(420\) | −11.2569 | + | 5.03515i | −0.549279 | + | 0.245690i | ||||
\(421\) | 21.8868 | + | 21.8868i | 1.06670 | + | 1.06670i | 0.997611 | + | 0.0690881i | \(0.0220090\pi\) |
0.0690881 | + | 0.997611i | \(0.477991\pi\) | |||||||
\(422\) | −6.28014 | − | 1.68276i | −0.305713 | − | 0.0819154i | ||||
\(423\) | 20.3386 | − | 16.2123i | 0.988895 | − | 0.788267i | ||||
\(424\) | 2.75896 | + | 10.2966i | 0.133987 | + | 0.500045i | ||||
\(425\) | 10.7342 | − | 6.19740i | 0.520686 | − | 0.300618i | ||||
\(426\) | −5.53029 | − | 26.5194i | −0.267943 | − | 1.28487i | ||||
\(427\) | 15.7538 | + | 30.4973i | 0.762379 | + | 1.47587i | ||||
\(428\) | 5.38514 | 0.260301 | ||||||||
\(429\) | 1.48528 | − | 14.0359i | 0.0717102 | − | 0.677662i | ||||
\(430\) | −5.81991 | + | 10.0804i | −0.280661 | + | 0.486119i | ||||
\(431\) | −4.15891 | − | 15.5213i | −0.200328 | − | 0.747633i | −0.990823 | − | 0.135165i | \(-0.956844\pi\) |
0.790495 | − | 0.612468i | \(-0.209823\pi\) | |||||||
\(432\) | −4.72221 | − | 2.16813i | −0.227197 | − | 0.104314i | ||||
\(433\) | 25.3948i | 1.22039i | 0.792250 | + | 0.610197i | \(0.208910\pi\) | ||||
−0.792250 | + | 0.610197i | \(0.791090\pi\) | |||||||
\(434\) | 16.6253 | + | 0.778430i | 0.798038 | + | 0.0373658i | ||||
\(435\) | −14.5837 | − | 9.55078i | −0.699237 | − | 0.457925i | ||||
\(436\) | 2.97844 | + | 0.798071i | 0.142642 | + | 0.0382207i | ||||
\(437\) | −2.36261 | + | 0.633060i | −0.113019 | + | 0.0302834i | ||||
\(438\) | 5.01078 | + | 1.64945i | 0.239424 | + | 0.0788136i | ||||
\(439\) | −32.6113 | + | 18.8282i | −1.55645 | + | 0.898620i | −0.558863 | + | 0.829260i | \(0.688762\pi\) |
−0.997592 | + | 0.0693596i | \(0.977904\pi\) | |||||||
\(440\) | 4.30056 | + | 4.30056i | 0.205021 | + | 0.205021i | ||||
\(441\) | −15.6544 | − | 13.9979i | −0.745447 | − | 0.666565i | ||||
\(442\) | 14.7750 | − | 13.3877i | 0.702775 | − | 0.636789i | ||||
\(443\) | 11.4832 | − | 6.62982i | 0.545583 | − | 0.314992i | −0.201756 | − | 0.979436i | \(-0.564665\pi\) |
0.747339 | + | 0.664443i | \(0.231331\pi\) | |||||||
\(444\) | −8.65145 | + | 4.36628i | −0.410579 | + | 0.207214i | ||||
\(445\) | 3.23441 | − | 5.60216i | 0.153326 | − | 0.265568i | ||||
\(446\) | −9.33481 | − | 16.1684i | −0.442016 | − | 0.765595i | ||||
\(447\) | 9.46656 | − | 14.4551i | 0.447753 | − | 0.683705i | ||||
\(448\) | 0.123744 | − | 2.64286i | 0.00584636 | − | 0.124863i | ||||
\(449\) | 11.1834 | + | 11.1834i | 0.527778 | + | 0.527778i | 0.919909 | − | 0.392131i | \(-0.128262\pi\) |
−0.392131 | + | 0.919909i | \(0.628262\pi\) | |||||||
\(450\) | −1.00076 | − | 6.64941i | −0.0471764 | − | 0.313456i | ||||
\(451\) | −4.69447 | + | 8.13107i | −0.221054 | + | 0.382877i | ||||
\(452\) | −0.255518 | + | 0.442571i | −0.0120186 | + | 0.0208168i | ||||
\(453\) | −6.72807 | − | 0.378572i | −0.316112 | − | 0.0177869i | ||||
\(454\) | − | 21.0459i | − | 0.987733i | ||||||
\(455\) | −24.0446 | − | 8.99031i | −1.12723 | − | 0.421472i | ||||
\(456\) | 1.55220 | + | 7.44325i | 0.0726883 | + | 0.348562i | ||||
\(457\) | 5.26327 | − | 19.6428i | 0.246205 | − | 0.918851i | −0.726569 | − | 0.687094i | \(-0.758886\pi\) |
0.972774 | − | 0.231757i | \(-0.0744473\pi\) | |||||||
\(458\) | 20.3439 | + | 11.7455i | 0.950607 | + | 0.548833i | ||||
\(459\) | 2.67341 | + | 28.6094i | 0.124784 | + | 1.33537i | ||||
\(460\) | −0.388071 | + | 1.44830i | −0.0180939 | + | 0.0675274i | ||||
\(461\) | −20.9563 | + | 20.9563i | −0.976032 | + | 0.976032i | −0.999719 | − | 0.0236871i | \(-0.992459\pi\) |
0.0236871 | + | 0.999719i | \(0.492459\pi\) | |||||||
\(462\) | −3.69497 | + | 9.67555i | −0.171906 | + | 0.450147i | ||||
\(463\) | 12.1628 | − | 12.1628i | 0.565254 | − | 0.565254i | −0.365541 | − | 0.930795i | \(-0.619116\pi\) |
0.930795 | + | 0.365541i | \(0.119116\pi\) | |||||||
\(464\) | 3.23911 | − | 1.87010i | 0.150372 | − | 0.0868172i | ||||
\(465\) | −9.16770 | + | 27.8502i | −0.425142 | + | 1.29152i | ||||
\(466\) | 3.19815 | + | 11.9357i | 0.148151 | + | 0.552908i | ||||
\(467\) | 9.89030 | + | 17.1305i | 0.457669 | + | 0.792705i | 0.998837 | − | 0.0482088i | \(-0.0153513\pi\) |
−0.541169 | + | 0.840914i | \(0.682018\pi\) | |||||||
\(468\) | −3.83029 | − | 10.1158i | −0.177055 | − | 0.467602i | ||||
\(469\) | 33.8375 | − | 7.38967i | 1.56247 | − | 0.341223i | ||||
\(470\) | −16.4971 | + | 16.4971i | −0.760956 | + | 0.760956i | ||||
\(471\) | −7.41297 | − | 8.29693i | −0.341572 | − | 0.382302i | ||||
\(472\) | −2.40939 | − | 1.39106i | −0.110901 | − | 0.0640287i | ||||
\(473\) | 2.53022 | + | 9.44290i | 0.116340 | + | 0.434185i | ||||
\(474\) | 10.7778 | + | 0.606440i | 0.495041 | + | 0.0278547i | ||||
\(475\) | −6.95755 | + | 6.95755i | −0.319234 | + | 0.319234i | ||||
\(476\) | −12.9988 | + | 6.71470i | −0.595798 | + | 0.307768i | ||||
\(477\) | −12.7819 | − | 29.3138i | −0.585245 | − | 1.34219i | ||||
\(478\) | 19.9455 | − | 11.5156i | 0.912287 | − | 0.526709i | ||||
\(479\) | 31.3931 | − | 8.41175i | 1.43439 | − | 0.384343i | 0.543823 | − | 0.839200i | \(-0.316976\pi\) |
0.890564 | + | 0.454857i | \(0.150310\pi\) | |||||||
\(480\) | 4.42724 | + | 1.45736i | 0.202075 | + | 0.0665189i | ||||
\(481\) | −19.2052 | − | 6.17353i | −0.875681 | − | 0.281489i | ||||
\(482\) | 26.4896i | 1.20657i | ||||||||
\(483\) | −2.52124 | + | 0.403780i | −0.114720 | + | 0.0183726i | ||||
\(484\) | −5.89195 | −0.267816 | ||||||||
\(485\) | −3.79162 | − | 6.56728i | −0.172169 | − | 0.298205i | ||||
\(486\) | 14.9769 | + | 4.32355i | 0.679365 | + | 0.196120i | ||||
\(487\) | −21.3458 | + | 5.71958i | −0.967269 | + | 0.259179i | −0.707674 | − | 0.706539i | \(-0.750256\pi\) |
−0.259594 | + | 0.965718i | \(0.583589\pi\) | |||||||
\(488\) | 3.35791 | − | 12.5319i | 0.152005 | − | 0.567292i | ||||
\(489\) | 17.9767 | − | 27.4499i | 0.812935 | − | 1.24133i | ||||
\(490\) | 15.3618 | + | 10.9016i | 0.693977 | + | 0.492482i | ||||
\(491\) | −10.5203 | −0.474776 | −0.237388 | − | 0.971415i | \(-0.576291\pi\) | ||||
−0.237388 | + | 0.971415i | \(0.576291\pi\) | |||||||
\(492\) | −0.404223 | + | 7.18395i | −0.0182238 | + | 0.323878i | ||||
\(493\) | −17.9118 | − | 10.3414i | −0.806707 | − | 0.465753i | ||||
\(494\) | −8.57865 | + | 13.3012i | −0.385972 | + | 0.598450i | ||||
\(495\) | −14.6781 | − | 10.8379i | −0.659732 | − | 0.487125i | ||||
\(496\) | −4.44816 | − | 4.44816i | −0.199728 | − | 0.199728i | ||||
\(497\) | −30.5969 | + | 27.8598i | −1.37246 | + | 1.24968i | ||||
\(498\) | 5.75912 | + | 27.6167i | 0.258072 | + | 1.23753i | ||||
\(499\) | −0.265111 | + | 0.989408i | −0.0118680 | + | 0.0442920i | −0.971606 | − | 0.236605i | \(-0.923965\pi\) |
0.959738 | + | 0.280897i | \(0.0906319\pi\) | |||||||
\(500\) | −1.92129 | − | 7.17034i | −0.0859225 | − | 0.320667i | ||||
\(501\) | 37.1778 | − | 18.7632i | 1.66098 | − | 0.838277i | ||||
\(502\) | 7.00298 | + | 1.87644i | 0.312558 | + | 0.0837497i | ||||
\(503\) | − | 15.9064i | − | 0.709233i | −0.935012 | − | 0.354616i | \(-0.884611\pi\) | ||
0.935012 | − | 0.354616i | \(-0.115389\pi\) | |||||||
\(504\) | 0.812895 | + | 7.89552i | 0.0362092 | + | 0.351694i | ||||
\(505\) | −28.9714 | + | 28.9714i | −1.28921 | + | 1.28921i | ||||
\(506\) | 0.629652 | + | 1.09059i | 0.0279914 | + | 0.0484826i | ||||
\(507\) | 9.10829 | − | 20.5922i | 0.404513 | − | 0.914532i | ||||
\(508\) | 5.99898 | − | 10.3905i | 0.266162 | − | 0.461006i | ||||
\(509\) | 7.67182 | + | 2.05566i | 0.340048 | + | 0.0911155i | 0.424802 | − | 0.905286i | \(-0.360344\pi\) |
−0.0847541 | + | 0.996402i | \(0.527010\pi\) | |||||||
\(510\) | −5.26172 | − | 25.2315i | −0.232993 | − | 1.11727i | ||||
\(511\) | −1.71927 | − | 7.87258i | −0.0760561 | − | 0.348262i | ||||
\(512\) | −0.707107 | + | 0.707107i | −0.0312500 | + | 0.0312500i | ||||
\(513\) | −7.92803 | − | 21.3880i | −0.350031 | − | 0.944305i | ||||
\(514\) | −1.18360 | − | 4.41727i | −0.0522065 | − | 0.194837i | ||||
\(515\) | 4.44161 | − | 1.19013i | 0.195721 | − | 0.0524432i | ||||
\(516\) | 4.99163 | + | 5.58685i | 0.219744 | + | 0.245948i | ||||
\(517\) | 19.5947i | 0.861774i | ||||||||
\(518\) | 12.4595 | + | 7.99297i | 0.547441 | + | 0.351191i | ||||
\(519\) | −22.0499 | + | 4.59822i | −0.967881 | + | 0.201840i | ||||
\(520\) | 4.43197 | + | 8.63112i | 0.194355 | + | 0.378500i | ||||
\(521\) | 18.1604 | + | 10.4849i | 0.795621 | + | 0.459352i | 0.841938 | − | 0.539575i | \(-0.181415\pi\) |
−0.0463164 | + | 0.998927i | \(0.514748\pi\) | |||||||
\(522\) | −8.77413 | + | 6.99403i | −0.384033 | + | 0.306120i | ||||
\(523\) | 18.4891 | + | 32.0241i | 0.808474 | + | 1.40032i | 0.913921 | + | 0.405892i | \(0.133039\pi\) |
−0.105447 | + | 0.994425i | \(0.533627\pi\) | |||||||
\(524\) | 1.67931 | 0.0733610 | ||||||||
\(525\) | −7.97133 | + | 6.47783i | −0.347897 | + | 0.282716i | ||||
\(526\) | −0.878650 | − | 0.878650i | −0.0383110 | − | 0.0383110i | ||||
\(527\) | −9.00338 | + | 33.6011i | −0.392193 | + | 1.46369i | ||||
\(528\) | 3.49475 | − | 1.76376i | 0.152090 | − | 0.0767577i | ||||
\(529\) | 11.3448 | − | 19.6497i | 0.493251 | − | 0.854336i | ||||
\(530\) | 14.3427 | + | 24.8423i | 0.623007 | + | 1.07908i | ||||
\(531\) | 7.76874 | + | 3.05095i | 0.337135 | + | 0.132400i | ||||
\(532\) | 8.58771 | − | 7.81949i | 0.372324 | − | 0.339018i | ||||
\(533\) | −11.0995 | + | 10.0573i | −0.480772 | + | 0.435631i | ||||
\(534\) | −2.77409 | − | 3.10489i | −0.120047 | − | 0.134362i | ||||
\(535\) | 13.9976 | − | 3.75064i | 0.605168 | − | 0.162154i | ||||
\(536\) | −11.3370 | − | 6.54540i | −0.489682 | − | 0.282718i | ||||
\(537\) | −11.8150 | − | 13.2239i | −0.509857 | − | 0.570654i | ||||
\(538\) | −9.63260 | − | 9.63260i | −0.415291 | − | 0.415291i | ||||
\(539\) | 15.5974 | − | 2.64888i | 0.671826 | − | 0.114095i | ||||
\(540\) | −13.7845 | − | 2.34669i | −0.593189 | − | 0.100985i | ||||
\(541\) | −16.4536 | − | 4.40874i | −0.707397 | − | 0.189547i | −0.112856 | − | 0.993611i | \(-0.536000\pi\) |
−0.594542 | + | 0.804065i | \(0.702666\pi\) | |||||||
\(542\) | −4.61332 | − | 2.66350i | −0.198159 | − | 0.114407i | ||||
\(543\) | −7.05957 | − | 2.32387i | −0.302955 | − | 0.0997267i | ||||
\(544\) | 5.34143 | + | 1.43123i | 0.229012 | + | 0.0613636i | ||||
\(545\) | 8.29770 | 0.355434 | ||||||||
\(546\) | −10.3355 | + | 12.8910i | −0.442319 | + | 0.551683i | ||||
\(547\) | −8.95781 | −0.383008 | −0.191504 | − | 0.981492i | \(-0.561337\pi\) | ||||
−0.191504 | + | 0.981492i | \(0.561337\pi\) | |||||||
\(548\) | −11.1177 | − | 2.97898i | −0.474925 | − | 0.127256i | ||||
\(549\) | −4.36625 | + | 38.6762i | −0.186347 | + | 1.65066i | ||||
\(550\) | 4.38716 | + | 2.53293i | 0.187069 | + | 0.108004i | ||||
\(551\) | 15.8593 | + | 4.24949i | 0.675629 | + | 0.181034i | ||||
\(552\) | 0.807356 | + | 0.528732i | 0.0343634 | + | 0.0225043i | ||||
\(553\) | −7.56778 | − | 14.6502i | −0.321815 | − | 0.622991i | ||||
\(554\) | −9.49541 | − | 9.49541i | −0.403421 | − | 0.403421i | ||||
\(555\) | −19.4467 | + | 17.3748i | −0.825465 | + | 0.737520i | ||||
\(556\) | −6.67167 | − | 3.85189i | −0.282942 | − | 0.163357i | ||||
\(557\) | −33.1313 | + | 8.87750i | −1.40382 | + | 0.376152i | −0.879714 | − | 0.475503i | \(-0.842266\pi\) |
−0.524103 | + | 0.851655i | \(0.675599\pi\) | |||||||
\(558\) | 15.1819 | + | 11.2098i | 0.642700 | + | 0.474550i | ||||
\(559\) | −0.767304 | + | 15.5768i | −0.0324535 | + | 0.658831i | ||||
\(560\) | −1.51905 | − | 6.95575i | −0.0641915 | − | 0.293934i | ||||
\(561\) | −18.1094 | − | 11.8597i | −0.764579 | − | 0.500717i | ||||
\(562\) | −4.17125 | − | 7.22481i | −0.175953 | − | 0.304760i | ||||
\(563\) | −9.43062 | + | 16.3343i | −0.397453 | + | 0.688409i | −0.993411 | − | 0.114606i | \(-0.963439\pi\) |
0.595958 | + | 0.803016i | \(0.296773\pi\) | |||||||
\(564\) | 6.76585 | + | 13.4060i | 0.284894 | + | 0.564495i | ||||
\(565\) | −0.355927 | + | 1.32834i | −0.0149740 | + | 0.0558836i | ||||
\(566\) | −0.142289 | − | 0.142289i | −0.00598084 | − | 0.00598084i | ||||
\(567\) | −5.93675 | − | 23.0598i | −0.249320 | − | 0.968421i | ||||
\(568\) | 15.6403 | 0.656254 | ||||||||
\(569\) | 0.844881 | + | 1.46338i | 0.0354193 | + | 0.0613480i | 0.883192 | − | 0.469012i | \(-0.155390\pi\) |
−0.847772 | + | 0.530360i | \(0.822057\pi\) | |||||||
\(570\) | 9.21870 | + | 18.2661i | 0.386129 | + | 0.765085i | ||||
\(571\) | 9.41753 | + | 5.43721i | 0.394111 | + | 0.227540i | 0.683940 | − | 0.729538i | \(-0.260265\pi\) |
−0.289829 | + | 0.957079i | \(0.593598\pi\) | |||||||
\(572\) | 7.75794 | + | 2.49380i | 0.324376 | + | 0.104271i | ||||
\(573\) | −7.82968 | − | 37.5456i | −0.327089 | − | 1.56849i | ||||
\(574\) | 9.76512 | − | 5.04431i | 0.407588 | − | 0.210546i | ||||
\(575\) | 1.24890i | 0.0520829i | ||||||||
\(576\) | 1.78198 | − | 2.41341i | 0.0742493 | − | 0.100559i | ||||
\(577\) | −30.5717 | + | 8.19166i | −1.27272 | + | 0.341023i | −0.831071 | − | 0.556167i | \(-0.812272\pi\) |
−0.441645 | + | 0.897190i | \(0.645605\pi\) | |||||||
\(578\) | −3.51460 | − | 13.1167i | −0.146188 | − | 0.545581i | ||||
\(579\) | −25.0469 | − | 1.40933i | −1.04092 | − | 0.0585697i | ||||
\(580\) | 7.11692 | − | 7.11692i | 0.295514 | − | 0.295514i | ||||
\(581\) | 31.8629 | − | 29.0126i | 1.32190 | − | 1.20365i | ||||
\(582\) | −4.77815 | + | 0.996424i | −0.198061 | + | 0.0413031i | ||||
\(583\) | 23.2713 | + | 6.23551i | 0.963797 | + | 0.258249i | ||||
\(584\) | −1.52284 | + | 2.63764i | −0.0630157 | + | 0.109146i | ||||
\(585\) | −17.0015 | − | 23.6262i | −0.702926 | − | 0.976822i | ||||
\(586\) | 8.31253 | + | 14.3977i | 0.343388 | + | 0.594765i | ||||
\(587\) | −17.3715 | + | 17.3715i | −0.717000 | + | 0.717000i | −0.967990 | − | 0.250990i | \(-0.919244\pi\) |
0.250990 | + | 0.967990i | \(0.419244\pi\) | |||||||
\(588\) | 9.75656 | − | 7.19789i | 0.402354 | − | 0.296836i | ||||
\(589\) | − | 27.6147i | − | 1.13784i | ||||||
\(590\) | −7.23156 | − | 1.93769i | −0.297718 | − | 0.0797734i | ||||
\(591\) | 7.17542 | + | 14.2175i | 0.295157 | + | 0.584832i | ||||
\(592\) | −1.44809 | − | 5.40435i | −0.0595162 | − | 0.222117i | ||||
\(593\) | 7.52671 | − | 28.0901i | 0.309085 | − | 1.15352i | −0.620286 | − | 0.784375i | \(-0.712984\pi\) |
0.929371 | − | 0.369146i | \(-0.120350\pi\) | |||||||
\(594\) | −9.58001 | + | 6.79270i | −0.393072 | + | 0.278708i | ||||
\(595\) | −29.1110 | + | 26.5069i | −1.19344 | + | 1.08668i | ||||
\(596\) | 7.05416 | + | 7.05416i | 0.288950 | + | 0.288950i | ||||
\(597\) | −20.2204 | + | 18.0661i | −0.827567 | + | 0.739397i | ||||
\(598\) | 0.423859 | + | 1.96375i | 0.0173329 | + | 0.0803039i | ||||
\(599\) | 31.6180 | + | 18.2546i | 1.29187 | + | 0.745864i | 0.978986 | − | 0.203926i | \(-0.0653701\pi\) |
0.312888 | + | 0.949790i | \(0.398703\pi\) | |||||||
\(600\) | 3.87614 | + | 0.218101i | 0.158243 | + | 0.00890393i | ||||
\(601\) | −31.9362 | −1.30270 | −0.651352 | − | 0.758775i | \(-0.725798\pi\) | ||||
−0.651352 | + | 0.758775i | \(0.725798\pi\) | |||||||
\(602\) | 3.47573 | − | 10.9036i | 0.141660 | − | 0.444396i | ||||
\(603\) | 36.5545 | + | 14.3557i | 1.48862 | + | 0.584611i | ||||
\(604\) | 1.00696 | − | 3.75803i | 0.0409727 | − | 0.152912i | ||||
\(605\) | −15.3149 | + | 4.10362i | −0.622641 | + | 0.166836i | ||||
\(606\) | 11.8819 | + | 23.5430i | 0.482668 | + | 0.956369i | ||||
\(607\) | −3.45454 | − | 5.98344i | −0.140215 | − | 0.242860i | 0.787362 | − | 0.616491i | \(-0.211446\pi\) |
−0.927578 | + | 0.373630i | \(0.878113\pi\) | |||||||
\(608\) | −4.38981 | −0.178030 | ||||||||
\(609\) | 16.0119 | + | 6.11475i | 0.648835 | + | 0.247782i | ||||
\(610\) | − | 34.9128i | − | 1.41358i | ||||||
\(611\) | −9.56632 | + | 29.7598i | −0.387012 | + | 1.20395i | ||||
\(612\) | −16.4849 | − | 1.86102i | −0.666361 | − | 0.0752271i | ||||
\(613\) | −39.9080 | + | 10.6933i | −1.61187 | + | 0.431899i | −0.948599 | − | 0.316480i | \(-0.897499\pi\) |
−0.663271 | + | 0.748379i | \(0.730832\pi\) | |||||||
\(614\) | −3.85011 | + | 2.22286i | −0.155378 | + | 0.0897075i | ||||
\(615\) | 3.95278 | + | 18.9548i | 0.159392 | + | 0.764330i | ||||
\(616\) | −5.03303 | − | 3.22876i | −0.202787 | − | 0.130091i | ||||
\(617\) | 11.7908 | − | 11.7908i | 0.474679 | − | 0.474679i | −0.428746 | − | 0.903425i | \(-0.641044\pi\) |
0.903425 | + | 0.428746i | \(0.141044\pi\) | |||||||
\(618\) | 0.166271 | − | 2.95501i | 0.00668840 | − | 0.118868i | ||||
\(619\) | 3.72691 | + | 13.9090i | 0.149797 | + | 0.559051i | 0.999495 | + | 0.0317809i | \(0.0101179\pi\) |
−0.849698 | + | 0.527270i | \(0.823215\pi\) | |||||||
\(620\) | −14.6601 | − | 8.46403i | −0.588765 | − | 0.339924i | ||||
\(621\) | −2.63116 | − | 1.20806i | −0.105585 | − | 0.0484777i | ||||
\(622\) | 16.5584 | − | 16.5584i | 0.663932 | − | 0.663932i | ||||
\(623\) | −1.93164 | + | 6.05964i | −0.0773894 | + | 0.242774i | ||||
\(624\) | 6.16880 | − | 0.972566i | 0.246950 | − | 0.0389338i | ||||
\(625\) | −15.5916 | − | 27.0054i | −0.623663 | − | 1.08022i | ||||
\(626\) | 3.48372 | + | 13.0014i | 0.139237 | + | 0.519641i | ||||
\(627\) | 16.3228 | + | 5.37312i | 0.651868 | + | 0.214582i | ||||
\(628\) | 5.56308 | − | 3.21184i | 0.221991 | − | 0.128167i | ||||
\(629\) | −21.8776 | + | 21.8776i | −0.872315 | + | 0.872315i | ||||
\(630\) | 7.61202 | + | 19.9566i | 0.303270 | + | 0.795091i | ||||
\(631\) | −11.2098 | + | 11.2098i | −0.446256 | + | 0.446256i | −0.894108 | − | 0.447852i | \(-0.852189\pi\) |
0.447852 | + | 0.894108i | \(0.352189\pi\) | |||||||
\(632\) | −1.61307 | + | 6.02005i | −0.0641643 | + | 0.239465i | ||||
\(633\) | −3.52111 | + | 10.6966i | −0.139951 | + | 0.425152i | ||||
\(634\) | 8.12587 | + | 4.69147i | 0.322719 | + | 0.186322i | ||||
\(635\) | 8.35634 | − | 31.1863i | 0.331611 | − | 1.23759i | ||||
\(636\) | 18.0745 | − | 3.76921i | 0.716699 | − | 0.149459i | ||||
\(637\) | 24.9820 | + | 3.59176i | 0.989822 | + | 0.142311i | ||||
\(638\) | − | 8.45322i | − | 0.334666i | ||||||
\(639\) | −46.3985 | + | 6.98316i | −1.83550 | + | 0.276250i | ||||
\(640\) | −1.34550 | + | 2.33047i | −0.0531854 | + | 0.0921198i | ||||
\(641\) | −10.3711 | + | 17.9633i | −0.409635 | + | 0.709509i | −0.994849 | − | 0.101370i | \(-0.967677\pi\) |
0.585213 | + | 0.810879i | \(0.301011\pi\) | |||||||
\(642\) | 0.523997 | − | 9.31261i | 0.0206805 | − | 0.367539i | ||||
\(643\) | 8.73659 | + | 8.73659i | 0.344538 | + | 0.344538i | 0.858070 | − | 0.513532i | \(-0.171663\pi\) |
−0.513532 | + | 0.858070i | \(0.671663\pi\) | |||||||
\(644\) | 0.0689490 | − | 1.47257i | 0.00271697 | − | 0.0580275i | ||||
\(645\) | 16.8659 | + | 11.0453i | 0.664093 | + | 0.434909i | ||||
\(646\) | 12.1375 | + | 21.0228i | 0.477544 | + | 0.827131i | ||||
\(647\) | −12.8158 | + | 22.1976i | −0.503840 | + | 0.872677i | 0.496150 | + | 0.868237i | \(0.334747\pi\) |
−0.999990 | + | 0.00444027i | \(0.998587\pi\) | |||||||
\(648\) | −4.20887 | + | 7.95522i | −0.165340 | + | 0.312510i | ||||
\(649\) | −5.44545 | + | 3.14393i | −0.213753 | + | 0.123410i | ||||
\(650\) | 5.42648 | + | 5.98879i | 0.212844 | + | 0.234900i | ||||
\(651\) | 2.96386 | − | 28.6746i | 0.116163 | − | 1.12385i | ||||
\(652\) | 13.3956 | + | 13.3956i | 0.524613 | + | 0.524613i | ||||
\(653\) | 6.17572 | − | 3.56555i | 0.241675 | − | 0.139531i | −0.374272 | − | 0.927319i | \(-0.622107\pi\) |
0.615946 | + | 0.787788i | \(0.288774\pi\) | |||||||
\(654\) | 1.66993 | − | 5.07301i | 0.0652995 | − | 0.198370i | ||||
\(655\) | 4.36503 | − | 1.16961i | 0.170556 | − | 0.0457003i | ||||
\(656\) | −4.01267 | − | 1.07519i | −0.156668 | − | 0.0419792i | ||||
\(657\) | 3.33998 | − | 8.50472i | 0.130305 | − | 0.331801i | ||||
\(658\) | 12.3857 | − | 19.3069i | 0.482844 | − | 0.752663i | ||||
\(659\) | 9.51640i | 0.370706i | 0.982672 | + | 0.185353i | \(0.0593429\pi\) | ||||
−0.982672 | + | 0.185353i | \(0.940657\pi\) | |||||||
\(660\) | 7.85548 | − | 7.01856i | 0.305774 | − | 0.273197i | ||||
\(661\) | 3.71561 | + | 13.8669i | 0.144521 | + | 0.539358i | 0.999776 | + | 0.0211520i | \(0.00673340\pi\) |
−0.855256 | + | 0.518206i | \(0.826600\pi\) | |||||||
\(662\) | 9.34552 | − | 16.1869i | 0.363224 | − | 0.629123i | ||||
\(663\) | −21.7139 | − | 26.8533i | −0.843299 | − | 1.04290i | ||||
\(664\) | −16.2875 | −0.632078 | ||||||||
\(665\) | 16.8759 | − | 26.3063i | 0.654419 | − | 1.02012i | ||||
\(666\) | 6.70885 | + | 15.3859i | 0.259963 | + | 0.596193i | ||||
\(667\) | 1.80480 | − | 1.04200i | 0.0698820 | − | 0.0403464i | ||||
\(668\) | 6.22287 | + | 23.2241i | 0.240770 | + | 0.898566i | ||||
\(669\) | −28.8685 | + | 14.5696i | −1.11612 | + | 0.563293i | ||||
\(670\) | −34.0269 | − | 9.11747i | −1.31457 | − | 0.352239i | ||||
\(671\) | −20.7341 | − | 20.7341i | −0.800431 | − | 0.800431i | ||||
\(672\) | −4.55829 | − | 0.471154i | −0.175840 | − | 0.0181751i | ||||
\(673\) | 1.09897i | 0.0423620i | 0.999776 | + | 0.0211810i | \(0.00674263\pi\) | ||||
−0.999776 | + | 0.0211810i | \(0.993257\pi\) | |||||||
\(674\) | 0.802027 | − | 2.99320i | 0.0308929 | − | 0.115294i | ||||
\(675\) | −11.5963 | + | 1.08362i | −0.446342 | + | 0.0417086i | ||||
\(676\) | 10.5650 | + | 7.57500i | 0.406346 | + | 0.291346i | ||||
\(677\) | −42.3224 | + | 24.4349i | −1.62658 | + | 0.939108i | −0.641480 | + | 0.767140i | \(0.721679\pi\) |
−0.985103 | + | 0.171968i | \(0.944988\pi\) | |||||||
\(678\) | 0.740482 | + | 0.484936i | 0.0284380 | + | 0.0186239i | ||||
\(679\) | 5.01967 | + | 5.51283i | 0.192637 | + | 0.211563i | ||||
\(680\) | 14.8808 | 0.570653 | ||||||||
\(681\) | −36.3950 | − | 2.04785i | −1.39466 | − | 0.0784739i | ||||
\(682\) | −13.7330 | + | 3.67975i | −0.525865 | + | 0.140905i | ||||
\(683\) | 21.5900 | − | 5.78503i | 0.826119 | − | 0.221358i | 0.179099 | − | 0.983831i | \(-0.442682\pi\) |
0.647020 | + | 0.762473i | \(0.276015\pi\) | |||||||
\(684\) | 13.0228 | − | 1.95998i | 0.497938 | − | 0.0749417i | ||||
\(685\) | −30.9730 | −1.18342 | ||||||||
\(686\) | −17.0426 | − | 7.24901i | −0.650691 | − | 0.276769i | ||||
\(687\) | 22.2913 | − | 34.0381i | 0.850466 | − | 1.29863i | ||||
\(688\) | −3.74597 | + | 2.16274i | −0.142814 | + | 0.0824537i | ||||
\(689\) | 32.2994 | + | 20.8316i | 1.23051 | + | 0.793619i | ||||
\(690\) | 2.46681 | + | 0.812024i | 0.0939098 | + | 0.0309132i | ||||
\(691\) | 2.93802 | − | 10.9648i | 0.111767 | − | 0.417122i | −0.887257 | − | 0.461275i | \(-0.847392\pi\) |
0.999025 | + | 0.0441530i | \(0.0140589\pi\) | |||||||
\(692\) | − | 13.0044i | − | 0.494351i | ||||||
\(693\) | 16.3725 | + | 7.33124i | 0.621941 | + | 0.278491i | ||||
\(694\) | −21.1203 | − | 21.1203i | −0.801714 | − | 0.801714i | ||||
\(695\) | −20.0244 | − | 5.36553i | −0.759569 | − | 0.203526i | ||||
\(696\) | −2.91881 | − | 5.78341i | −0.110637 | − | 0.219219i | ||||
\(697\) | 5.94566 | + | 22.1895i | 0.225208 | + | 0.840487i | ||||
\(698\) | 8.34496 | − | 4.81796i | 0.315861 | − | 0.182363i | ||||
\(699\) | 20.9517 | − | 4.36922i | 0.792466 | − | 0.165259i | ||||
\(700\) | −2.72169 | − | 5.26883i | −0.102870 | − | 0.199143i | ||||
\(701\) | −16.7030 | −0.630862 | −0.315431 | − | 0.948948i | \(-0.602149\pi\) | ||||
−0.315431 | + | 0.948948i | \(0.602149\pi\) | |||||||
\(702\) | −17.8661 | + | 5.63948i | −0.674311 | + | 0.212848i | ||||
\(703\) | 12.2805 | − | 21.2704i | 0.463167 | − | 0.802229i | ||||
\(704\) | 0.584957 | + | 2.18309i | 0.0220464 | + | 0.0822782i | ||||
\(705\) | 26.9235 | + | 30.1340i | 1.01400 | + | 1.13491i | ||||
\(706\) | 21.0789i | 0.793314i | ||||||||
\(707\) | 21.7511 | − | 33.9059i | 0.818035 | − | 1.27516i | ||||
\(708\) | −2.64002 | + | 4.03123i | −0.0992182 | + | 0.151503i | ||||
\(709\) | 23.6574 | + | 6.33899i | 0.888474 | + | 0.238066i | 0.674059 | − | 0.738677i | \(-0.264549\pi\) |
0.214414 | + | 0.976743i | \(0.431216\pi\) | |||||||
\(710\) | 40.6539 | − | 10.8932i | 1.52571 | − | 0.408814i | ||||
\(711\) | 2.09745 | − | 18.5792i | 0.0786606 | − | 0.696775i | ||||
\(712\) | 2.08182 | − | 1.20194i | 0.0780196 | − | 0.0450446i | ||||
\(713\) | −2.47847 | − | 2.47847i | −0.0928193 | − | 0.0928193i | ||||
\(714\) | 10.3470 | + | 23.1324i | 0.387227 | + | 0.865707i | ||||
\(715\) | 21.9021 | + | 1.07888i | 0.819091 | + | 0.0403478i | ||||
\(716\) | 8.86662 | − | 5.11914i | 0.331361 | − | 0.191311i | ||||
\(717\) | −17.9732 | − | 35.6126i | −0.671223 | − | 1.32998i | ||||
\(718\) | 13.9397 | − | 24.1443i | 0.520225 | − | 0.901056i | ||||
\(719\) | −8.81931 | − | 15.2755i | −0.328905 | − | 0.569680i | 0.653390 | − | 0.757022i | \(-0.273346\pi\) |
−0.982295 | + | 0.187342i | \(0.940013\pi\) | |||||||
\(720\) | 2.95102 | − | 7.51428i | 0.109978 | − | 0.280041i | ||||
\(721\) | −4.01673 | + | 2.07490i | −0.149591 | + | 0.0772733i | ||||
\(722\) | −0.191225 | − | 0.191225i | −0.00711667 | − | 0.00711667i | ||||
\(723\) | 45.8089 | + | 2.57755i | 1.70365 | + | 0.0958601i | ||||
\(724\) | 2.14550 | − | 3.71611i | 0.0797368 | − | 0.138108i | ||||
\(725\) | 4.19170 | − | 7.26024i | 0.155676 | − | 0.269638i | ||||
\(726\) | −0.573312 | + | 10.1890i | −0.0212776 | + | 0.378151i | ||||
\(727\) | 34.6427i | 1.28483i | 0.766358 | + | 0.642414i | \(0.222067\pi\) | ||||
−0.766358 | + | 0.642414i | \(0.777933\pi\) | |||||||
\(728\) | −6.06769 | − | 7.36092i | −0.224884 | − | 0.272814i | ||||
\(729\) | 8.93410 | − | 25.4790i | 0.330893 | − | 0.943668i | ||||
\(730\) | −2.12126 | + | 7.91664i | −0.0785113 | + | 0.293008i | ||||
\(731\) | 20.7147 | + | 11.9596i | 0.766162 | + | 0.442344i | ||||
\(732\) | −21.3448 | − | 7.02629i | −0.788928 | − | 0.259699i | ||||
\(733\) | 9.52052 | − | 35.5311i | 0.351648 | − | 1.31237i | −0.533002 | − | 0.846114i | \(-0.678936\pi\) |
0.884650 | − | 0.466256i | \(-0.154397\pi\) | |||||||
\(734\) | 21.9265 | − | 21.9265i | 0.809323 | − | 0.809323i | ||||
\(735\) | 20.3470 | − | 25.5047i | 0.750511 | − | 0.940755i | ||||
\(736\) | −0.393993 | + | 0.393993i | −0.0145228 | + | 0.0145228i | ||||
\(737\) | −25.6227 | + | 14.7933i | −0.943823 | + | 0.544916i | ||||
\(738\) | 12.3840 | + | 1.39806i | 0.455861 | + | 0.0514632i | ||||
\(739\) | 1.01122 | + | 3.77392i | 0.0371983 | + | 0.138826i | 0.982028 | − | 0.188737i | \(-0.0604393\pi\) |
−0.944829 | + | 0.327563i | \(0.893773\pi\) | |||||||
\(740\) | −7.52804 | − | 13.0389i | −0.276736 | − | 0.479321i | ||||
\(741\) | 22.1673 | + | 16.1295i | 0.814335 | + | 0.592530i | ||||
\(742\) | −18.9881 | − | 20.8535i | −0.697074 | − | 0.765558i | ||||
\(743\) | 15.1463 | − | 15.1463i | 0.555662 | − | 0.555662i | −0.372407 | − | 0.928069i | \(-0.621467\pi\) |
0.928069 | + | 0.372407i | \(0.121467\pi\) | |||||||
\(744\) | −8.12509 | + | 7.25944i | −0.297880 | + | 0.266144i | ||||
\(745\) | 23.2489 | + | 13.4228i | 0.851775 | + | 0.491773i | ||||
\(746\) | −1.92246 | − | 7.17473i | −0.0703864 | − | 0.262686i | ||||
\(747\) | 48.3183 | − | 7.27211i | 1.76788 | − | 0.266073i | ||||
\(748\) | 8.83744 | − | 8.83744i | 0.323129 | − | 0.323129i | ||||
\(749\) | −12.6586 | + | 6.53897i | −0.462535 | + | 0.238929i | ||||
\(750\) | −12.5867 | + | 2.62481i | −0.459602 | + | 0.0958444i | ||||
\(751\) | 38.0093 | − | 21.9447i | 1.38698 | − | 0.800772i | 0.394005 | − | 0.919108i | \(-0.371089\pi\) |
0.992974 | + | 0.118336i | \(0.0377561\pi\) | |||||||
\(752\) | −8.37442 | + | 2.24392i | −0.305384 | + | 0.0818273i | ||||
\(753\) | 3.92638 | − | 11.9278i | 0.143085 | − | 0.434672i | ||||
\(754\) | 4.12694 | − | 12.8385i | 0.150294 | − | 0.467550i | ||||
\(755\) | − | 10.4696i | − | 0.381027i | ||||||
\(756\) | 13.7329 | − | 0.637485i | 0.499462 | − | 0.0231851i | ||||
\(757\) | −39.9286 | −1.45123 | −0.725616 | − | 0.688100i | \(-0.758445\pi\) | ||||
−0.725616 | + | 0.688100i | \(0.758445\pi\) | |||||||
\(758\) | 0.283636 | + | 0.491271i | 0.0103021 | + | 0.0178438i | ||||
\(759\) | 1.94724 | − | 0.982748i | 0.0706804 | − | 0.0356715i | ||||
\(760\) | −11.4104 | + | 3.05741i | −0.413900 | + | 0.110904i | ||||
\(761\) | −9.06509 | + | 33.8314i | −0.328609 | + | 1.22639i | 0.582024 | + | 0.813171i | \(0.302261\pi\) |
−0.910634 | + | 0.413215i | \(0.864406\pi\) | |||||||
\(762\) | −17.3848 | − | 11.3852i | −0.629785 | − | 0.412441i | ||||
\(763\) | −7.97035 | + | 1.74062i | −0.288546 | + | 0.0630148i | ||||
\(764\) | 22.1433 | 0.801117 | ||||||||
\(765\) | −44.1452 | + | 6.64404i | −1.59607 | + | 0.240216i | ||||
\(766\) | −27.3734 | − | 15.8040i | −0.989040 | − | 0.571023i | ||||
\(767\) | −9.80527 | + | 2.11638i | −0.354048 | + | 0.0764181i | ||||
\(768\) | 1.15401 | + | 1.29162i | 0.0416416 | + | 0.0466071i | ||||
\(769\) | −30.8587 | − | 30.8587i | −1.11279 | − | 1.11279i | −0.992771 | − | 0.120022i | \(-0.961703\pi\) |
−0.120022 | − | 0.992771i | \(-0.538297\pi\) | |||||||
\(770\) | −15.3311 | − | 4.88711i | −0.552495 | − | 0.176119i | ||||
\(771\) | −7.75402 | + | 1.61700i | −0.279254 | + | 0.0582350i | ||||
\(772\) | 3.74867 | − | 13.9902i | 0.134917 | − | 0.503519i | ||||
\(773\) | 0.185277 | + | 0.691463i | 0.00666395 | + | 0.0248702i | 0.969178 | − | 0.246362i | \(-0.0792354\pi\) |
−0.962514 | + | 0.271233i | \(0.912569\pi\) | |||||||
\(774\) | 10.1471 | − | 8.08848i | 0.364731 | − | 0.290734i | ||||
\(775\) | −13.6196 | − | 3.64936i | −0.489230 | − | 0.131089i | ||||
\(776\) | − | 2.81801i | − | 0.101161i | ||||||
\(777\) | 15.0347 | − | 20.7687i | 0.539368 | − | 0.745074i | ||||
\(778\) | 1.32831 | − | 1.32831i | 0.0476223 | − | 0.0476223i | ||||
\(779\) | −9.11812 | − | 15.7930i | −0.326690 | − | 0.565844i | ||||
\(780\) | 15.3572 | − | 6.82443i | 0.549875 | − | 0.244354i | ||||
\(781\) | 17.6744 | − | 30.6129i | 0.632438 | − | 1.09542i | ||||
\(782\) | 2.97619 | + | 0.797468i | 0.106428 | + | 0.0285174i | ||||
\(783\) | 11.2411 | + | 15.8538i | 0.401725 | + | 0.566568i | ||||
\(784\) | 2.91824 | + | 6.36269i | 0.104223 | + | 0.227239i | ||||
\(785\) | 12.2231 | − | 12.2231i | 0.436261 | − | 0.436261i | ||||
\(786\) | 0.163404 | − | 2.90406i | 0.00582843 | − | 0.103584i | ||||
\(787\) | −3.88612 | − | 14.5032i | −0.138525 | − | 0.516983i | −0.999958 | − | 0.00911212i | \(-0.997099\pi\) |
0.861433 | − | 0.507871i | \(-0.169567\pi\) | |||||||
\(788\) | −8.88136 | + | 2.37975i | −0.316385 | + | 0.0847752i | ||||
\(789\) | −1.60496 | + | 1.43397i | −0.0571381 | + | 0.0510506i | ||||
\(790\) | 16.7714i | 0.596698i | ||||||||
\(791\) | 0.0632378 | − | 1.35060i | 0.00224848 | − | 0.0480217i | ||||
\(792\) | −2.71004 | − | 6.21515i | −0.0962971 | − | 0.220846i | ||||
\(793\) | −21.3677 | − | 41.6128i | −0.758789 | − | 1.47772i | ||||
\(794\) | 26.5364 | + | 15.3208i | 0.941742 | + | 0.543715i | ||||
\(795\) | 44.3557 | − | 22.3858i | 1.57314 | − | 0.793942i | ||||
\(796\) | −7.82757 | − | 13.5577i | −0.277441 | − | 0.480542i | ||||
\(797\) | 21.2331 | 0.752116 | 0.376058 | − | 0.926596i | \(-0.377279\pi\) | ||||
0.376058 | + | 0.926596i | \(0.377279\pi\) | |||||||
\(798\) | −12.6867 | − | 15.6117i | −0.449106 | − | 0.552649i | ||||
\(799\) | 33.9008 | + | 33.9008i | 1.19932 | + | 1.19932i | ||||
\(800\) | −0.580125 | + | 2.16506i | −0.0205105 | + | 0.0765463i | ||||
\(801\) | −5.63926 | + | 4.49516i | −0.199254 | + | 0.158829i | ||||
\(802\) | 10.0950 | − | 17.4850i | 0.356466 | − | 0.617417i | ||||
\(803\) | 3.44178 | + | 5.96133i | 0.121458 | + | 0.210371i | ||||
\(804\) | −12.4222 | + | 18.9683i | −0.438097 | + | 0.668960i | ||||
\(805\) | −0.846398 | − | 3.87567i | −0.0298316 | − | 0.136600i | ||||
\(806\) | −22.6538 | − | 1.11591i | −0.797945 | − | 0.0393061i | ||||
\(807\) | −17.5951 | + | 15.7205i | −0.619377 | + | 0.553388i | ||||
\(808\) | −14.7067 | + | 3.94066i | −0.517382 | + | 0.138632i | ||||
\(809\) | −28.0507 | − | 16.1951i | −0.986211 | − | 0.569389i | −0.0820712 | − | 0.996626i | \(-0.526153\pi\) |
−0.904139 | + | 0.427238i | \(0.859487\pi\) | |||||||
\(810\) | −5.39945 | + | 23.6094i | −0.189717 | + | 0.829548i | ||||
\(811\) | 10.8066 | + | 10.8066i | 0.379471 | + | 0.379471i | 0.870911 | − | 0.491440i | \(-0.163529\pi\) |
−0.491440 | + | 0.870911i | \(0.663529\pi\) | |||||||
\(812\) | −5.34322 | + | 8.32908i | −0.187510 | + | 0.292293i | ||||
\(813\) | −5.05493 | + | 7.71871i | −0.177284 | + | 0.270707i | ||||
\(814\) | −12.2144 | − | 3.27283i | −0.428113 | − | 0.114713i | ||||
\(815\) | 44.1490 | + | 25.4894i | 1.54647 | + | 0.892856i | ||||
\(816\) | 2.99480 | − | 9.09776i | 0.104839 | − | 0.318485i | ||||
\(817\) | −18.3410 | − | 4.91446i | −0.641671 | − | 0.171935i | ||||
\(818\) | 13.2320 | 0.462645 | ||||||||
\(819\) | 21.2869 | + | 19.1277i | 0.743824 | + | 0.668375i | ||||
\(820\) | −11.1790 | −0.390386 | ||||||||
\(821\) | 24.7296 | + | 6.62629i | 0.863071 | + | 0.231259i | 0.663089 | − | 0.748541i | \(-0.269245\pi\) |
0.199982 | + | 0.979800i | \(0.435912\pi\) | |||||||
\(822\) | −6.23339 | + | 18.9361i | −0.217414 | + | 0.660474i | ||||
\(823\) | −1.13049 | − | 0.652689i | −0.0394064 | − | 0.0227513i | 0.480167 | − | 0.877177i | \(-0.340576\pi\) |
−0.519574 | + | 0.854426i | \(0.673909\pi\) | |||||||
\(824\) | 1.65055 | + | 0.442263i | 0.0574996 | + | 0.0154070i | ||||
\(825\) | 4.80712 | − | 7.34032i | 0.167363 | − | 0.255557i | ||||
\(826\) | 7.35274 | + | 0.344271i | 0.255835 | + | 0.0119787i | ||||
\(827\) | 28.4452 | + | 28.4452i | 0.989136 | + | 0.989136i | 0.999942 | − | 0.0108057i | \(-0.00343961\pi\) |
−0.0108057 | + | 0.999942i | \(0.503440\pi\) | |||||||
\(828\) | 0.992903 | − | 1.34473i | 0.0345058 | − | 0.0467324i | ||||
\(829\) | 32.0898 | + | 18.5270i | 1.11452 | + | 0.643471i | 0.939997 | − | 0.341182i | \(-0.110827\pi\) |
0.174527 | + | 0.984652i | \(0.444160\pi\) | |||||||
\(830\) | −42.3361 | + | 11.3439i | −1.46951 | + | 0.393753i | ||||
\(831\) | −17.3445 | + | 15.4966i | −0.601674 | + | 0.537572i | ||||
\(832\) | −0.177392 | + | 3.60118i | −0.00614995 | + | 0.124849i | ||||
\(833\) | 22.4022 | − | 31.5679i | 0.776190 | − | 1.09376i | ||||
\(834\) | −7.31031 | + | 11.1626i | −0.253135 | + | 0.386530i | ||||
\(835\) | 32.3502 | + | 56.0322i | 1.11952 | + | 1.93907i | ||||
\(836\) | −4.96070 | + | 8.59219i | −0.171570 | + | 0.297167i | ||||
\(837\) | 20.8626 | − | 25.1635i | 0.721116 | − | 0.869778i | ||||
\(838\) | −0.415153 | + | 1.54937i | −0.0143412 | + | 0.0535222i | ||||
\(839\) | −3.48251 | − | 3.48251i | −0.120230 | − | 0.120230i | 0.644432 | − | 0.764662i | \(-0.277094\pi\) |
−0.764662 | + | 0.644432i | \(0.777094\pi\) | |||||||
\(840\) | −12.1765 | + | 1.95009i | −0.420129 | + | 0.0672844i | ||||
\(841\) | 15.0109 | 0.517618 | ||||||||
\(842\) | 15.4763 | + | 26.8058i | 0.533349 | + | 0.923788i | ||||
\(843\) | −12.8999 | + | 6.51040i | −0.444295 | + | 0.224230i | ||||
\(844\) | −5.63062 | − | 3.25084i | −0.193814 | − | 0.111899i | ||||
\(845\) | 32.7374 | + | 12.3314i | 1.12620 | + | 0.424212i | ||||
\(846\) | 23.8416 | − | 10.3958i | 0.819691 | − | 0.357416i | ||||
\(847\) | 13.8499 | − | 7.15438i | 0.475889 | − | 0.245827i | ||||
\(848\) | 10.6598i | 0.366059i | ||||||||
\(849\) | −0.259907 | + | 0.232217i | −0.00891999 | + | 0.00796966i | ||||
\(850\) | 11.9725 | − | 3.20801i | 0.410652 | − | 0.110034i | ||||
\(851\) | −0.806861 | − | 3.01125i | −0.0276589 | − | 0.103224i | ||||
\(852\) | 1.52187 | − | 27.0471i | 0.0521385 | − | 0.926618i | ||||
\(853\) | 3.87273 | − | 3.87273i | 0.132600 | − | 0.132600i | −0.637692 | − | 0.770292i | \(-0.720111\pi\) |
0.770292 | + | 0.637692i | \(0.220111\pi\) | |||||||
\(854\) | 7.32372 | + | 33.5355i | 0.250613 | + | 1.14756i | ||||
\(855\) | 32.4850 | − | 14.1647i | 1.11096 | − | 0.484421i | ||||
\(856\) | 5.20165 | + | 1.39378i | 0.177789 | + | 0.0476383i | ||||
\(857\) | −16.4205 | + | 28.4411i | −0.560913 | + | 0.971530i | 0.436504 | + | 0.899702i | \(0.356216\pi\) |
−0.997417 | + | 0.0718275i | \(0.977117\pi\) | |||||||
\(858\) | 5.06744 | − | 13.1733i | 0.173000 | − | 0.449728i | ||||
\(859\) | −14.6661 | − | 25.4024i | −0.500400 | − | 0.866718i | −1.00000 | 0.000461835i | \(-0.999853\pi\) | |
0.499600 | − | 0.866256i | \(-0.333480\pi\) | |||||||
\(860\) | −8.23060 | + | 8.23060i | −0.280661 | + | 0.280661i | ||||
\(861\) | −7.77302 | − | 17.3778i | −0.264904 | − | 0.592234i | ||||
\(862\) | − | 16.0688i | − | 0.547305i | ||||||
\(863\) | 13.4299 | + | 3.59854i | 0.457160 | + | 0.122496i | 0.480048 | − | 0.877242i | \(-0.340619\pi\) |
−0.0228878 | + | 0.999738i | \(0.507286\pi\) | |||||||
\(864\) | −4.00015 | − | 3.31645i | −0.136088 | − | 0.112828i | ||||
\(865\) | −9.05727 | − | 33.8022i | −0.307956 | − | 1.14931i | ||||
\(866\) | −6.57265 | + | 24.5295i | −0.223348 | + | 0.833545i | ||||
\(867\) | −23.0248 | + | 4.80154i | −0.781964 | + | 0.163069i | ||||
\(868\) | 15.8573 | + | 5.05484i | 0.538232 | + | 0.171572i | ||||
\(869\) | 9.96021 | + | 9.96021i | 0.337877 | + | 0.337877i | ||||
\(870\) | −11.6149 | − | 12.9999i | −0.393782 | − | 0.440738i | ||||
\(871\) | −46.1371 | + | 9.95828i | −1.56330 | + | 0.337423i | ||||
\(872\) | 2.67040 | + | 1.54176i | 0.0904311 | + | 0.0522104i | ||||
\(873\) | 1.25820 | + | 8.35988i | 0.0425835 | + | 0.282939i | ||||
\(874\) | −2.44596 | −0.0827357 | ||||||||
\(875\) | 13.2229 | + | 14.5220i | 0.447017 | + | 0.490934i | ||||
\(876\) | 4.41313 | + | 2.89013i | 0.149106 | + | 0.0976484i | ||||
\(877\) | 4.93060 | − | 18.4012i | 0.166495 | − | 0.621366i | −0.831350 | − | 0.555749i | \(-0.812432\pi\) |
0.997845 | − | 0.0656173i | \(-0.0209017\pi\) | |||||||
\(878\) | −36.3732 | + | 9.74618i | −1.22754 | + | 0.328918i | ||||
\(879\) | 25.7071 | − | 12.9740i | 0.867078 | − | 0.437603i | ||||
\(880\) | 3.04095 | + | 5.26709i | 0.102511 | + | 0.177553i | ||||
\(881\) | 56.0741 | 1.88918 | 0.944592 | − | 0.328247i | \(-0.106458\pi\) | ||||
0.944592 | + | 0.328247i | \(0.106458\pi\) | |||||||
\(882\) | −11.4981 | − | 17.5726i | −0.387160 | − | 0.591699i | ||||
\(883\) | 26.0624i | 0.877071i | 0.898714 | + | 0.438535i | \(0.144503\pi\) | ||||
−0.898714 | + | 0.438535i | \(0.855497\pi\) | |||||||
\(884\) | 17.7365 | − | 9.10750i | 0.596545 | − | 0.306318i | ||||
\(885\) | −4.05454 | + | 12.3171i | −0.136292 | + | 0.414035i | ||||
\(886\) | 12.8078 | − | 3.43185i | 0.430288 | − | 0.115295i | ||||
\(887\) | −33.6123 | + | 19.4060i | −1.12859 | + | 0.651591i | −0.943580 | − | 0.331145i | \(-0.892565\pi\) |
−0.185010 | + | 0.982737i | \(0.559232\pi\) | |||||||
\(888\) | −9.48673 | + | 1.97834i | −0.318354 | + | 0.0663888i | ||||
\(889\) | −1.48468 | + | 31.7089i | −0.0497945 | + | 1.06348i | ||||
\(890\) | 4.57415 | − | 4.57415i | 0.153326 | − | 0.153326i | ||||
\(891\) | 10.8145 | + | 17.2278i | 0.362301 | + | 0.577153i | ||||
\(892\) | −4.83206 | − | 18.0335i | −0.161789 | − | 0.603805i | ||||
\(893\) | −32.9600 | − | 19.0295i | −1.10296 | − | 0.636797i | ||||
\(894\) | 12.8853 | − | 11.5125i | 0.430948 | − | 0.385034i | ||||
\(895\) | 19.4816 | − | 19.4816i | 0.651198 | − | 0.651198i | ||||
\(896\) | 0.803549 | − | 2.52078i | 0.0268447 | − | 0.0842132i | ||||
\(897\) | 3.43719 | − | 0.541904i | 0.114765 | − | 0.0180936i | ||||
\(898\) | 7.90787 | + | 13.6968i | 0.263889 | + | 0.457069i | ||||
\(899\) | 6.08956 | + | 22.7265i | 0.203098 | + | 0.757973i | ||||
\(900\) | 0.754330 | − | 6.68185i | 0.0251443 | − | 0.222728i | ||||
\(901\) | 51.0497 | − | 29.4736i | 1.70071 | − | 0.981907i | ||||
\(902\) | −6.63899 | + | 6.63899i | −0.221054 | + | 0.221054i | ||||
\(903\) | −18.5175 | − | 7.07160i | −0.616224 | − | 0.235328i | ||||
\(904\) | −0.361358 | + | 0.361358i | −0.0120186 | + | 0.0120186i | ||||
\(905\) | 2.98859 | − | 11.1536i | 0.0993441 | − | 0.370757i | ||||
\(906\) | −6.40084 | − | 2.10703i | −0.212654 | − | 0.0700012i | ||||
\(907\) | −37.2960 | − | 21.5328i | −1.23839 | − | 0.714986i | −0.269627 | − | 0.962965i | \(-0.586900\pi\) |
−0.968766 | + | 0.247978i | \(0.920234\pi\) | |||||||
\(908\) | 5.44708 | − | 20.3288i | 0.180768 | − | 0.674634i | ||||
\(909\) | 41.8694 | − | 18.2567i | 1.38872 | − | 0.605535i | ||||
\(910\) | −20.8985 | − | 14.9072i | −0.692778 | − | 0.494168i | ||||
\(911\) | 13.1487i | 0.435636i | 0.975989 | + | 0.217818i | \(0.0698940\pi\) | ||||
−0.975989 | + | 0.217818i | \(0.930106\pi\) | |||||||
\(912\) | −0.427147 | + | 7.59137i | −0.0141443 | + | 0.251375i | ||||
\(913\) | −18.4057 | + | 31.8796i | −0.609139 | + | 1.05506i | ||||
\(914\) | 10.1679 | − | 17.6112i | 0.336323 | − | 0.582528i | ||||
\(915\) | −60.3753 | − | 3.39716i | −1.99594 | − | 0.112307i | ||||
\(916\) | 16.6107 | + | 16.6107i | 0.548833 | + | 0.548833i | ||||
\(917\) | −3.94747 | + | 2.03912i | −0.130357 | + | 0.0673378i | ||||
\(918\) | −4.82233 | + | 28.3264i | −0.159161 | + | 0.934912i | ||||
\(919\) | 4.54144 | + | 7.86600i | 0.149808 | + | 0.259476i | 0.931156 | − | 0.364620i | \(-0.118801\pi\) |
−0.781348 | + | 0.624095i | \(0.785468\pi\) | |||||||
\(920\) | −0.749696 | + | 1.29851i | −0.0247168 | + | 0.0428107i | ||||
\(921\) | 3.46940 | + | 6.87436i | 0.114321 | + | 0.226518i | ||||
\(922\) | −25.6661 | + | 14.8183i | −0.845269 | + | 0.488016i | ||||
\(923\) | 41.7888 | − | 37.8651i | 1.37549 | − | 1.24634i | ||||
\(924\) | −6.07329 | + | 8.38953i | −0.199796 | + | 0.275995i | ||||
\(925\) | −8.86769 | − | 8.86769i | −0.291568 | − | 0.291568i | ||||
\(926\) | 14.8964 | − | 8.60042i | 0.489525 | − | 0.282627i | ||||
\(927\) | −5.09396 | − | 0.575070i | −0.167308 | − | 0.0188878i | ||||
\(928\) | 3.61275 | − | 0.968035i | 0.118594 | − | 0.0317773i | ||||
\(929\) | −0.397737 | − | 0.106573i | −0.0130493 | − | 0.00349656i | 0.252288 | − | 0.967652i | \(-0.418817\pi\) |
−0.265338 | + | 0.964156i | \(0.585483\pi\) | |||||||
\(930\) | −16.0635 | + | 24.5284i | −0.526742 | + | 0.804318i | ||||
\(931\) | −10.6918 | + | 28.8086i | −0.350410 | + | 0.944164i | ||||
\(932\) | 12.3567i | 0.404757i | ||||||||
\(933\) | −27.0235 | − | 30.2459i | −0.884710 | − | 0.990207i | ||||
\(934\) | 5.11960 | + | 19.1066i | 0.167518 | + | 0.625187i | ||||
\(935\) | 16.8160 | − | 29.1262i | 0.549944 | − | 0.952530i | ||||
\(936\) | −1.08162 | − | 10.7624i | −0.0353540 | − | 0.351781i | ||||
\(937\) | 28.9978 | 0.947318 | 0.473659 | − | 0.880708i | \(-0.342933\pi\) | ||||
0.473659 | + | 0.880708i | \(0.342933\pi\) | |||||||
\(938\) | 34.5971 | + | 1.61991i | 1.12964 | + | 0.0528919i | ||||
\(939\) | 22.8225 | − | 4.75935i | 0.744784 | − | 0.155316i | ||||
\(940\) | −20.2048 | + | 11.6652i | −0.659007 | + | 0.380478i | ||||
\(941\) | −4.61575 | − | 17.2262i | −0.150469 | − | 0.561558i | −0.999451 | − | 0.0331360i | \(-0.989451\pi\) |
0.848982 | − | 0.528422i | \(-0.177216\pi\) | |||||||
\(942\) | −5.01298 | − | 9.93284i | −0.163332 | − | 0.323629i | ||||
\(943\) | −2.23582 | − | 0.599085i | −0.0728082 | − | 0.0195089i | ||||
\(944\) | −1.96726 | − | 1.96726i | −0.0640287 | − | 0.0640287i | ||||
\(945\) | 35.2520 | − | 11.2217i | 1.14675 | − | 0.365043i | ||||
\(946\) | 9.77601i | 0.317846i | ||||||||
\(947\) | −3.32675 | + | 12.4156i | −0.108105 | + | 0.403452i | −0.998679 | − | 0.0513858i | \(-0.983636\pi\) |
0.890574 | + | 0.454838i | \(0.150303\pi\) | |||||||
\(948\) | 10.2536 | + | 3.37528i | 0.333021 | + | 0.109624i | ||||
\(949\) | 2.31688 | + | 10.7342i | 0.0752090 | + | 0.348446i | ||||
\(950\) | −8.52122 | + | 4.91973i | −0.276465 | + | 0.159617i | ||||
\(951\) | 8.90372 | − | 13.5957i | 0.288723 | − | 0.440870i | ||||
\(952\) | −14.2937 | + | 3.12157i | −0.463263 | + | 0.101171i | ||||
\(953\) | 11.5069 | 0.372746 | 0.186373 | − | 0.982479i | \(-0.440327\pi\) | ||||
0.186373 | + | 0.982479i | \(0.440327\pi\) | |||||||
\(954\) | −4.75943 | − | 31.6232i | −0.154092 | − | 1.02384i | ||||
\(955\) | 57.5571 | − | 15.4224i | 1.86250 | − | 0.499056i | ||||
\(956\) | 22.2463 | − | 5.96089i | 0.719498 | − | 0.192789i | ||||
\(957\) | −14.6183 | − | 0.822534i | −0.472542 | − | 0.0265887i | ||||
\(958\) | 32.5005 | 1.05004 | ||||||||
\(959\) | 29.7511 | − | 6.49726i | 0.960713 | − | 0.209807i | ||||
\(960\) | 3.89919 | + | 2.55355i | 0.125846 | + | 0.0824155i | ||||
\(961\) | 7.42373 | − | 4.28609i | 0.239475 | − | 0.138261i | ||||
\(962\) | −16.9530 | − | 10.9338i | −0.546585 | − | 0.352521i | ||||
\(963\) | −16.0534 | − | 1.81231i | −0.517315 | − | 0.0584009i | ||||
\(964\) | −6.85601 | + | 25.5870i | −0.220817 | + | 0.824101i | ||||
\(965\) | − | 38.9756i | − | 1.25467i | ||||||
\(966\) | −2.53983 | − | 0.262522i | −0.0817178 | − | 0.00844651i | ||||
\(967\) | 19.2198 | + | 19.2198i | 0.618067 | + | 0.618067i | 0.945035 | − | 0.326968i | \(-0.106027\pi\) |
−0.326968 | + | 0.945035i | \(0.606027\pi\) | |||||||
\(968\) | −5.69119 | − | 1.52495i | −0.182922 | − | 0.0490137i | ||||
\(969\) | 37.5361 | − | 18.9440i | 1.20583 | − | 0.608569i | ||||
\(970\) | −1.96269 | − | 7.32485i | −0.0630181 | − | 0.235187i | ||||
\(971\) | 38.6679 | − | 22.3249i | 1.24091 | − | 0.716440i | 0.271631 | − | 0.962401i | \(-0.412437\pi\) |
0.969280 | + | 0.245961i | \(0.0791037\pi\) | |||||||
\(972\) | 13.3475 | + | 8.05253i | 0.428122 | + | 0.258285i | ||||
\(973\) | 20.3600 | + | 0.953298i | 0.652711 | + | 0.0305613i | ||||
\(974\) | −22.0988 | −0.708090 | ||||||||
\(975\) | 10.8845 | − | 8.80136i | 0.348584 | − | 0.281869i | ||||
\(976\) | 6.48698 | − | 11.2358i | 0.207643 | − | 0.359648i | ||||
\(977\) | 7.27624 | + | 27.1553i | 0.232787 | + | 0.868775i | 0.979134 | + | 0.203217i | \(0.0651396\pi\) |
−0.746346 | + | 0.665558i | \(0.768194\pi\) | |||||||
\(978\) | 24.4687 | − | 21.8618i | 0.782423 | − | 0.699064i | ||||
\(979\) | − | 5.43301i | − | 0.173640i | ||||||
\(980\) | 12.0169 | + | 14.5060i | 0.383865 | + | 0.463378i | ||||
\(981\) | −8.61034 | − | 3.38146i | −0.274907 | − | 0.107962i | ||||
\(982\) | −10.1619 | − | 2.72287i | −0.324278 | − | 0.0868901i | ||||
\(983\) | −18.3130 | + | 4.90694i | −0.584093 | + | 0.156507i | −0.538752 | − | 0.842464i | \(-0.681104\pi\) |
−0.0453407 | + | 0.998972i | \(0.514437\pi\) | |||||||
\(984\) | −2.24979 | + | 6.83455i | −0.0717208 | + | 0.217877i | ||||
\(985\) | −21.4278 | + | 12.3714i | −0.682748 | + | 0.394185i | ||||
\(986\) | −14.6249 | − | 14.6249i | −0.465753 | − | 0.465753i | ||||
\(987\) | −32.1826 | − | 23.2974i | −1.02438 | − | 0.741564i | ||||
\(988\) | −11.7289 | + | 10.6277i | −0.373147 | + | 0.338111i | ||||
\(989\) | −2.08722 | + | 1.20506i | −0.0663697 | + | 0.0383186i | ||||
\(990\) | −11.3729 | − | 14.2675i | −0.361455 | − | 0.453452i | ||||
\(991\) | −9.90525 | + | 17.1564i | −0.314650 | + | 0.544991i | −0.979363 | − | 0.202108i | \(-0.935221\pi\) |
0.664713 | + | 0.747099i | \(0.268554\pi\) | |||||||
\(992\) | −3.14532 | − | 5.44786i | −0.0998640 | − | 0.172970i | ||||
\(993\) | −27.0829 | − | 17.7364i | −0.859451 | − | 0.562848i | ||||
\(994\) | −36.7650 | + | 18.9915i | −1.16612 | + | 0.602373i | ||||
\(995\) | −29.7889 | − | 29.7889i | −0.944371 | − | 0.944371i | ||||
\(996\) | −1.58484 | + | 28.1662i | −0.0502177 | + | 0.892481i | ||||
\(997\) | −23.5205 | + | 40.7386i | −0.744901 | + | 1.29021i | 0.205340 | + | 0.978691i | \(0.434170\pi\) |
−0.950241 | + | 0.311515i | \(0.899164\pi\) | |||||||
\(998\) | −0.512155 | + | 0.887079i | −0.0162120 | + | 0.0280800i | ||||
\(999\) | 27.2599 | − | 10.1046i | 0.862466 | − | 0.319695i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 546.2.bv.a.515.29 | yes | 144 | |
3.2 | odd | 2 | inner | 546.2.bv.a.515.14 | yes | 144 | |
7.2 | even | 3 | inner | 546.2.bv.a.359.14 | yes | 144 | |
13.5 | odd | 4 | inner | 546.2.bv.a.473.29 | yes | 144 | |
21.2 | odd | 6 | inner | 546.2.bv.a.359.29 | yes | 144 | |
39.5 | even | 4 | inner | 546.2.bv.a.473.14 | yes | 144 | |
91.44 | odd | 12 | inner | 546.2.bv.a.317.14 | ✓ | 144 | |
273.44 | even | 12 | inner | 546.2.bv.a.317.29 | yes | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.bv.a.317.14 | ✓ | 144 | 91.44 | odd | 12 | inner | |
546.2.bv.a.317.29 | yes | 144 | 273.44 | even | 12 | inner | |
546.2.bv.a.359.14 | yes | 144 | 7.2 | even | 3 | inner | |
546.2.bv.a.359.29 | yes | 144 | 21.2 | odd | 6 | inner | |
546.2.bv.a.473.14 | yes | 144 | 39.5 | even | 4 | inner | |
546.2.bv.a.473.29 | yes | 144 | 13.5 | odd | 4 | inner | |
546.2.bv.a.515.14 | yes | 144 | 3.2 | odd | 2 | inner | |
546.2.bv.a.515.29 | yes | 144 | 1.1 | even | 1 | trivial |