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 | 515.14 | ||
Character | \(\chi\) | \(=\) | 546.515 |
Dual form | 546.2.bv.a.317.14 |
$q$-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 | ||||
\(3\) | 1.15401 | − | 1.29162i | 0.666266 | − | 0.745714i | ||||
\(4\) | 0.866025 | + | 0.500000i | 0.433013 | + | 0.250000i | ||||
\(5\) | −2.59930 | − | 0.696480i | −1.16244 | − | 0.311475i | −0.374501 | − | 0.927227i | \(-0.622186\pi\) |
−0.787940 | + | 0.615751i | \(0.788853\pi\) | |||||||
\(6\) | −1.44898 | + | 0.948926i | −0.591543 | + | 0.387397i | ||||
\(7\) | −2.64286 | − | 0.123744i | −0.998906 | − | 0.0467709i | ||||
\(8\) | −0.707107 | − | 0.707107i | −0.250000 | − | 0.250000i | ||||
\(9\) | −0.336539 | − | 2.98106i | −0.112180 | − | 0.993688i | ||||
\(10\) | 2.33047 | + | 1.34550i | 0.736958 | + | 0.425483i | ||||
\(11\) | −2.18309 | + | 0.584957i | −0.658226 | + | 0.176371i | −0.572445 | − | 0.819943i | \(-0.694005\pi\) |
−0.0857806 | + | 0.996314i | \(0.527338\pi\) | |||||||
\(12\) | 1.64521 | − | 0.541568i | 0.474930 | − | 0.156337i | ||||
\(13\) | 3.60118 | + | 0.177392i | 0.998789 | + | 0.0491996i | ||||
\(14\) | 2.52078 | + | 0.803549i | 0.673706 | + | 0.214758i | ||||
\(15\) | −3.89919 | + | 2.55355i | −1.00677 | + | 0.659324i | ||||
\(16\) | 0.500000 | + | 0.866025i | 0.125000 | + | 0.216506i | ||||
\(17\) | −2.76493 | + | 4.78900i | −0.670594 | + | 1.16150i | 0.307142 | + | 0.951664i | \(0.400627\pi\) |
−0.977736 | + | 0.209839i | \(0.932706\pi\) | |||||||
\(18\) | −0.446484 | + | 2.96659i | −0.105237 | + | 0.699232i | ||||
\(19\) | −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 | ||||
\(21\) | −3.20970 | + | 3.27075i | −0.700414 | + | 0.713736i | ||||
\(22\) | 2.26010 | 0.481855 | ||||||||
\(23\) | −0.278595 | − | 0.482540i | −0.0580910 | − | 0.100617i | 0.835517 | − | 0.549464i | \(-0.185168\pi\) |
−0.893608 | + | 0.448847i | \(0.851835\pi\) | |||||||
\(24\) | −1.72932 | + | 0.0973042i | −0.352995 | + | 0.0198621i | ||||
\(25\) | 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 | \(0.112891\pi\) | ||||
−0.937766 | + | 0.347269i | \(0.887109\pi\) | |||||||
\(30\) | 4.42724 | − | 1.45736i | 0.808299 | − | 0.266076i | ||||
\(31\) | −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 | ||||
\(33\) | −1.76376 | + | 3.49475i | −0.307031 | + | 0.608358i | ||||
\(34\) | 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 | ||||
\(39\) | 4.38491 | − | 4.44663i | 0.702148 | − | 0.712031i | ||||
\(40\) | 1.34550 | + | 2.33047i | 0.212742 | + | 0.368479i | ||||
\(41\) | 2.93748 | − | 2.93748i | 0.458757 | − | 0.458757i | −0.439491 | − | 0.898247i | \(-0.644841\pi\) |
0.898247 | + | 0.439491i | \(0.144841\pi\) | |||||||
\(42\) | 3.94687 | − | 2.32857i | 0.609015 | − | 0.359306i | ||||
\(43\) | 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 | ||||
\(45\) | −1.20148 | + | 7.98306i | −0.179107 | + | 1.19005i | ||||
\(46\) | 0.144211 | + | 0.538204i | 0.0212628 | + | 0.0793538i | ||||
\(47\) | 2.24392 | − | 8.37442i | 0.327309 | − | 1.22153i | −0.584661 | − | 0.811278i | \(-0.698772\pi\) |
0.911970 | − | 0.410257i | \(-0.134561\pi\) | |||||||
\(48\) | 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 | ||||
\(51\) | 2.99480 | + | 9.09776i | 0.419356 | + | 1.27394i | ||||
\(52\) | 3.03002 | + | 1.95422i | 0.420188 | + | 0.271001i | ||||
\(53\) | −9.23165 | − | 5.32989i | −1.26806 | − | 0.732117i | −0.293443 | − | 0.955977i | \(-0.594801\pi\) |
−0.974621 | + | 0.223859i | \(0.928134\pi\) | |||||||
\(54\) | 3.31645 | + | 4.00015i | 0.451311 | + | 0.544351i | ||||
\(55\) | 6.08191 | 0.820084 | ||||||||
\(56\) | 1.78128 | + | 1.95628i | 0.238034 | + | 0.261419i | ||||
\(57\) | 4.16560 | + | 6.36074i | 0.551748 | + | 0.842501i | ||||
\(58\) | 0.968035 | − | 3.61275i | 0.127109 | − | 0.474378i | ||||
\(59\) | 2.68732 | − | 0.720065i | 0.349859 | − | 0.0937445i | −0.0796097 | − | 0.996826i | \(-0.525367\pi\) |
0.429469 | + | 0.903082i | \(0.358701\pi\) | |||||||
\(60\) | −4.65357 | + | 0.261845i | −0.600774 | + | 0.0338040i | ||||
\(61\) | −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 | ||||||||
\(63\) | 0.520536 | + | 7.92017i | 0.0655814 | + | 0.997847i | ||||
\(64\) | 1.00000i | 0.125000i | ||||||||
\(65\) | −9.23700 | − | 2.96925i | −1.14571 | − | 0.368290i | ||||
\(66\) | 2.60817 | − | 2.91918i | 0.321043 | − | 0.359326i | ||||
\(67\) | −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 | \(0.628545\pi\) |
−0.919561 | + | 0.392948i | \(0.871455\pi\) | |||||||
\(72\) | −1.86996 | + | 2.34590i | −0.220377 | + | 0.276467i | ||||
\(73\) | 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 | ||||
\(75\) | 3.68762 | − | 1.21389i | 0.425809 | − | 0.140168i | ||||
\(76\) | −3.10406 | + | 3.10406i | −0.356061 | + | 0.356061i | ||||
\(77\) | 5.84197 | − | 1.27581i | 0.665755 | − | 0.145392i | ||||
\(78\) | −5.38637 | + | 3.16022i | −0.609887 | + | 0.357824i | ||||
\(79\) | 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 | ||||
\(81\) | −8.77348 | + | 2.00649i | −0.974831 | + | 0.222943i | ||||
\(82\) | −3.59766 | + | 2.07711i | −0.397295 | + | 0.229378i | ||||
\(83\) | 11.5170 | − | 11.5170i | 1.26416 | − | 1.26416i | 0.315095 | − | 0.949060i | \(-0.397964\pi\) |
0.949060 | − | 0.315095i | \(-0.102036\pi\) | |||||||
\(84\) | −4.41506 | + | 1.22770i | −0.481722 | + | 0.133953i | ||||
\(85\) | 10.5223 | − | 10.5223i | 1.14131 | − | 1.14131i | ||||
\(86\) | 1.11952 | − | 4.17809i | 0.120721 | − | 0.450535i | ||||
\(87\) | 4.83090 | + | 4.31621i | 0.517926 | + | 0.462746i | ||||
\(88\) | 1.95730 | + | 1.13005i | 0.208649 | + | 0.120464i | ||||
\(89\) | −0.622170 | + | 2.32197i | −0.0659499 | + | 0.246128i | −0.991029 | − | 0.133646i | \(-0.957332\pi\) |
0.925079 | + | 0.379774i | \(0.123998\pi\) | |||||||
\(90\) | 3.22671 | − | 7.40008i | 0.340126 | − | 0.780037i | ||||
\(91\) | −9.49546 | − | 0.914446i | −0.995395 | − | 0.0958600i | ||||
\(92\) | − | 0.557190i | − | 0.0580910i | ||||||
\(93\) | −4.90915 | + | 9.72711i | −0.509055 | + | 1.00865i | ||||
\(94\) | −4.33492 | + | 7.50830i | −0.447113 | + | 0.774422i | ||||
\(95\) | 5.90647 | − | 10.2303i | 0.605991 | − | 1.04961i | ||||
\(96\) | −1.54628 | − | 0.780390i | −0.157817 | − | 0.0796482i | ||||
\(97\) | −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 | ||||
\(99\) | 2.47849 | + | 6.31106i | 0.249097 | + | 0.634286i | ||||
\(100\) | 1.12072 | + | 1.94114i | 0.112072 | + | 0.194114i | ||||
\(101\) | 7.61277 | − | 13.1857i | 0.757499 | − | 1.31203i | −0.186623 | − | 0.982432i | \(-0.559754\pi\) |
0.944122 | − | 0.329596i | \(-0.106912\pi\) | |||||||
\(102\) | −0.538079 | − | 9.56287i | −0.0532777 | − | 0.946866i | ||||
\(103\) | 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 | ||||
\(105\) | 10.6210 | − | 6.26616i | 1.03650 | − | 0.611515i | ||||
\(106\) | 7.53761 | + | 7.53761i | 0.732117 | + | 0.732117i | ||||
\(107\) | −4.66367 | + | 2.69257i | −0.450854 | + | 0.260301i | −0.708191 | − | 0.706021i | \(-0.750488\pi\) |
0.257337 | + | 0.966322i | \(0.417155\pi\) | |||||||
\(108\) | −2.16813 | − | 4.72221i | −0.208628 | − | 0.454394i | ||||
\(109\) | 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 | ||||
\(111\) | −8.10703 | + | 5.30923i | −0.769485 | + | 0.503930i | ||||
\(112\) | −1.21426 | − | 2.35065i | −0.114737 | − | 0.222116i | ||||
\(113\) | − | 0.511037i | − | 0.0480743i | −0.999711 | − | 0.0240372i | \(-0.992348\pi\) | ||
0.999711 | − | 0.0240372i | \(-0.00765200\pi\) | |||||||
\(114\) | −2.37738 | − | 7.22214i | −0.222662 | − | 0.676416i | ||||
\(115\) | 0.388071 | + | 1.44830i | 0.0361878 | + | 0.135055i | ||||
\(116\) | −1.87010 | + | 3.23911i | −0.173634 | + | 0.300744i | ||||
\(117\) | −0.683125 | − | 10.7951i | −0.0631549 | − | 0.998004i | ||||
\(118\) | −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 | ||||
\(123\) | −0.404223 | − | 7.18395i | −0.0364476 | − | 0.647755i | ||||
\(124\) | −6.07629 | − | 1.62814i | −0.545667 | − | 0.146211i | ||||
\(125\) | 5.24905 | + | 5.24905i | 0.469490 | + | 0.469490i | ||||
\(126\) | 1.54709 | − | 7.78502i | 0.137826 | − | 0.693545i | ||||
\(127\) | − | 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 | ||||
\(129\) | 5.58685 | + | 4.99163i | 0.491895 | + | 0.439488i | ||||
\(130\) | 8.15376 | + | 5.25878i | 0.715132 | + | 0.461226i | ||||
\(131\) | −1.45433 | + | 0.839655i | −0.127065 | + | 0.0733610i | −0.562185 | − | 0.827011i | \(-0.690039\pi\) |
0.435120 | + | 0.900372i | \(0.356706\pi\) | |||||||
\(132\) | −3.27484 | + | 2.14467i | −0.285038 | + | 0.186669i | ||||
\(133\) | 3.52743 | − | 11.0657i | 0.305867 | − | 0.959520i | ||||
\(134\) | 13.0908 | 1.13087 | ||||||||
\(135\) | 8.92453 | + | 10.7644i | 0.768101 | + | 0.926449i | ||||
\(136\) | 5.34143 | − | 1.43123i | 0.458024 | − | 0.122727i | ||||
\(137\) | 11.1177 | − | 2.97898i | 0.949849 | − | 0.254511i | 0.249551 | − | 0.968362i | \(-0.419717\pi\) |
0.700298 | + | 0.713850i | \(0.253050\pi\) | |||||||
\(138\) | 0.861573 | + | 0.434825i | 0.0733420 | + | 0.0370148i | ||||
\(139\) | −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 | ||||
\(141\) | −8.22703 | − | 12.5624i | −0.692841 | − | 1.05795i | ||||
\(142\) | 13.5449 | − | 7.82017i | 1.13667 | − | 0.656254i | ||||
\(143\) | −7.96547 | + | 1.71928i | −0.666106 | + | 0.143773i | ||||
\(144\) | 2.41341 | − | 1.78198i | 0.201117 | − | 0.148499i | ||||
\(145\) | 2.60497 | − | 9.72189i | 0.216331 | − | 0.807359i | ||||
\(146\) | − | 3.04569i | − | 0.252063i | ||||||
\(147\) | 8.88752 | − | 8.24694i | 0.733030 | − | 0.680196i | ||||
\(148\) | −3.95626 | − | 3.95626i | −0.325202 | − | 0.325202i | ||||
\(149\) | −9.63616 | − | 2.58200i | −0.789425 | − | 0.211526i | −0.158489 | − | 0.987361i | \(-0.550662\pi\) |
−0.630936 | + | 0.775835i | \(0.717329\pi\) | |||||||
\(150\) | −3.87614 | + | 0.218101i | −0.316486 | + | 0.0178079i | ||||
\(151\) | −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 | ||||||||
\(156\) | 6.02076 | − | 1.65844i | 0.482047 | − | 0.132782i | ||||
\(157\) | 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 | ||||
\(159\) | −17.5376 | + | 5.77300i | −1.39082 | + | 0.457829i | ||||
\(160\) | 2.69099i | 0.212742i | ||||||||
\(161\) | 0.676575 | + | 1.30976i | 0.0533215 | + | 0.103223i | ||||
\(162\) | 8.99385 | + | 0.332623i | 0.706624 | + | 0.0261334i | ||||
\(163\) | 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 | ||||
\(165\) | 7.01856 | − | 7.85548i | 0.546394 | − | 0.611548i | ||||
\(166\) | −14.1054 | + | 8.14375i | −1.09479 | + | 0.632078i | ||||
\(167\) | −17.0012 | − | 17.0012i | −1.31559 | − | 1.31559i | −0.917226 | − | 0.398366i | \(-0.869577\pi\) |
−0.398366 | − | 0.917226i | \(-0.630423\pi\) | |||||||
\(168\) | 4.58237 | − | 0.0431684i | 0.353538 | − | 0.00333051i | ||||
\(169\) | 12.9371 | + | 1.27764i | 0.995159 | + | 0.0982800i | ||||
\(170\) | −12.8872 | + | 7.44040i | −0.988400 | + | 0.570653i | ||||
\(171\) | 13.0228 | + | 1.95998i | 0.995876 | + | 0.149883i | ||||
\(172\) | −2.16274 | + | 3.74597i | −0.164907 | + | 0.285628i | ||||
\(173\) | 6.50218 | + | 11.2621i | 0.494351 | + | 0.856242i | 0.999979 | − | 0.00651019i | \(-0.00207227\pi\) |
−0.505627 | + | 0.862752i | \(0.668739\pi\) | |||||||
\(174\) | −3.54917 | − | 5.41947i | −0.269062 | − | 0.410849i | ||||
\(175\) | −4.99146 | − | 3.20210i | −0.377319 | − | 0.242056i | ||||
\(176\) | −1.59813 | − | 1.59813i | −0.120464 | − | 0.120464i | ||||
\(177\) | 2.17114 | − | 4.30194i | 0.163193 | − | 0.323354i | ||||
\(178\) | 1.20194 | − | 2.08182i | 0.0900892 | − | 0.156039i | ||||
\(179\) | −5.11914 | + | 8.86662i | −0.382623 | + | 0.662722i | −0.991436 | − | 0.130591i | \(-0.958312\pi\) |
0.608814 | + | 0.793313i | \(0.291646\pi\) | |||||||
\(180\) | −5.03205 | + | 6.31279i | −0.375067 | + | 0.470528i | ||||
\(181\) | − | 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 | ||||
\(186\) | 7.25944 | − | 8.12509i | 0.532288 | − | 0.595760i | ||||
\(187\) | 3.23473 | − | 12.0722i | 0.236547 | − | 0.882805i | ||||
\(188\) | 6.13050 | − | 6.13050i | 0.447113 | − | 0.447113i | ||||
\(189\) | 10.8305 | + | 8.46759i | 0.787804 | + | 0.615927i | ||||
\(190\) | −8.35301 | + | 8.35301i | −0.605991 | + | 0.605991i | ||||
\(191\) | −19.1767 | + | 11.0717i | −1.38758 | + | 0.801117i | −0.993042 | − | 0.117765i | \(-0.962427\pi\) |
−0.394534 | + | 0.918882i | \(0.629094\pi\) | |||||||
\(192\) | 1.29162 | + | 1.15401i | 0.0932143 | + | 0.0832832i | ||||
\(193\) | −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 | ||||
\(195\) | −14.4947 | + | 8.50412i | −1.03799 | + | 0.608993i | ||||
\(196\) | 5.70862 | + | 4.05113i | 0.407758 | + | 0.289367i | ||||
\(197\) | 6.50161 | − | 6.50161i | 0.463220 | − | 0.463220i | −0.436489 | − | 0.899710i | \(-0.643778\pi\) |
0.899710 | + | 0.436489i | \(0.143778\pi\) | |||||||
\(198\) | −0.760612 | − | 6.73750i | −0.0540544 | − | 0.478813i | ||||
\(199\) | −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 | ||||
\(201\) | −10.2159 | + | 20.2421i | −0.720576 | + | 1.42777i | ||||
\(202\) | −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 | ||||
\(207\) | −1.34473 | + | 0.992903i | −0.0934649 | + | 0.0690115i | ||||
\(208\) | 1.64697 | + | 3.20741i | 0.114197 | + | 0.222394i | ||||
\(209\) | − | 9.92141i | − | 0.686278i | ||||||
\(210\) | −11.8809 | + | 3.30374i | −0.819859 | + | 0.227979i | ||||
\(211\) | −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 | ||||
\(213\) | 1.52187 | + | 27.0471i | 0.104277 | + | 1.85324i | ||||
\(214\) | 5.20165 | − | 1.39378i | 0.355577 | − | 0.0952766i | ||||
\(215\) | 3.01261 | − | 11.2432i | 0.205458 | − | 0.766780i | ||||
\(216\) | 0.872053 | + | 5.12245i | 0.0593357 | + | 0.348539i | ||||
\(217\) | 16.2602 | − | 3.55103i | 1.10382 | − | 0.241060i | ||||
\(218\) | −3.08351 | −0.208842 | ||||||||
\(219\) | 4.70949 | + | 2.37682i | 0.318238 | + | 0.160611i | ||||
\(220\) | 5.26709 | + | 3.04095i | 0.355107 | + | 0.205021i | ||||
\(221\) | −10.8066 | + | 16.7556i | −0.726927 | + | 1.12710i | ||||
\(222\) | 9.20492 | − | 3.03007i | 0.617794 | − | 0.203365i | ||||
\(223\) | −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 | \(0.162785\pi\) |
−0.510522 | + | 0.859865i | \(0.670548\pi\) | |||||||
\(228\) | 0.427147 | + | 7.59137i | 0.0282885 | + | 0.502751i | ||||
\(229\) | 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 | ||||||
\(231\) | 5.09381 | − | 9.01787i | 0.335148 | − | 0.593333i | ||||
\(232\) | 2.64472 | − | 2.64472i | 0.173634 | − | 0.173634i | ||||
\(233\) | −6.17835 | − | 10.7012i | −0.404757 | − | 0.701060i | 0.589536 | − | 0.807742i | \(-0.299311\pi\) |
−0.994293 | + | 0.106682i | \(0.965977\pi\) | |||||||
\(234\) | −2.13412 | + | 10.6040i | −0.139512 | + | 0.693207i | ||||
\(235\) | −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 | \(0.517493\pi\) |
−0.998490 | + | 0.0549281i | \(0.982507\pi\) | |||||||
\(240\) | −4.16103 | − | 2.10002i | −0.268594 | − | 0.135556i | ||||
\(241\) | 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 | ||||
\(243\) | −7.53304 | + | 13.6475i | −0.483245 | + | 0.875485i | ||||
\(244\) | − | 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 | ||||
\(249\) | −1.58484 | − | 28.1662i | −0.100435 | − | 1.78496i | ||||
\(250\) | −3.71164 | − | 6.42875i | −0.234745 | − | 0.406590i | ||||
\(251\) | −7.25002 | −0.457617 | −0.228809 | − | 0.973471i | \(-0.573483\pi\) | ||||
−0.228809 | + | 0.973471i | \(0.573483\pi\) | |||||||
\(252\) | −3.50929 | + | 7.11933i | −0.221064 | + | 0.448476i | ||||
\(253\) | 0.890462 | + | 0.890462i | 0.0559829 | + | 0.0559829i | ||||
\(254\) | −3.10530 | + | 11.5891i | −0.194844 | + | 0.727167i | ||||
\(255\) | −1.44796 | − | 25.7336i | −0.0906751 | − | 1.61150i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 2.28655 | + | 3.96041i | 0.142631 | + | 0.247044i | 0.928487 | − | 0.371366i | \(-0.121111\pi\) |
−0.785856 | + | 0.618410i | \(0.787777\pi\) | |||||||
\(258\) | −4.10456 | − | 6.26753i | −0.255539 | − | 0.390199i | ||||
\(259\) | 14.1037 | + | 4.49585i | 0.876363 | + | 0.279359i | ||||
\(260\) | −6.51486 | − | 7.18994i | −0.404034 | − | 0.445901i | ||||
\(261\) | 11.1498 | − | 1.25872i | 0.690153 | − | 0.0779131i | ||||
\(262\) | 1.62209 | − | 0.434637i | 0.100213 | − | 0.0268520i | ||||
\(263\) | 1.07612 | + | 0.621300i | 0.0663566 | + | 0.0383110i | 0.532811 | − | 0.846234i | \(-0.321136\pi\) |
−0.466455 | + | 0.884545i | \(0.654469\pi\) | |||||||
\(264\) | 3.71833 | − | 1.22400i | 0.228847 | − | 0.0753319i | ||||
\(265\) | 20.2836 | + | 20.2836i | 1.24601 | + | 1.24601i | ||||
\(266\) | −6.27125 | + | 9.77570i | −0.384515 | + | 0.599387i | ||||
\(267\) | 2.28110 | + | 3.48317i | 0.139601 | + | 0.213167i | ||||
\(268\) | −12.6447 | − | 3.38815i | −0.772400 | − | 0.206964i | ||||
\(269\) | 11.7975 | + | 6.81128i | 0.719305 | + | 0.415291i | 0.814497 | − | 0.580168i | \(-0.197013\pi\) |
−0.0951919 | + | 0.995459i | \(0.530346\pi\) | |||||||
\(270\) | −5.83441 | − | 12.7074i | −0.355071 | − | 0.773349i | ||||
\(271\) | −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 | ||||||||
\(273\) | −12.1389 | + | 11.2092i | −0.734682 | + | 0.678412i | ||||
\(274\) | −11.5099 | −0.695338 | ||||||||
\(275\) | −4.89324 | − | 1.31114i | −0.295074 | − | 0.0790648i | ||||
\(276\) | −0.719675 | − | 0.643000i | −0.0433193 | − | 0.0387041i | ||||
\(277\) | −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 | ||||
\(279\) | 6.89850 | + | 17.5659i | 0.413002 | + | 1.05164i | ||||
\(280\) | −3.26757 | − | 6.32558i | −0.195275 | − | 0.378026i | ||||
\(281\) | 5.89904 | + | 5.89904i | 0.351907 | + | 0.351907i | 0.860819 | − | 0.508912i | \(-0.169952\pi\) |
−0.508912 | + | 0.860819i | \(0.669952\pi\) | |||||||
\(282\) | 4.69531 | + | 14.2637i | 0.279602 | + | 0.849389i | ||||
\(283\) | −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 | ||||
\(285\) | −6.39751 | − | 19.4347i | −0.378956 | − | 1.15121i | ||||
\(286\) | 8.13903 | + | 0.400923i | 0.481271 | + | 0.0237070i | ||||
\(287\) | −8.12682 | + | 7.39983i | −0.479711 | + | 0.436798i | ||||
\(288\) | −2.79238 | + | 1.09663i | −0.164543 | + | 0.0646194i | ||||
\(289\) | −6.78968 | − | 11.7601i | −0.399393 | − | 0.691769i | ||||
\(290\) | −5.03242 | + | 8.71641i | −0.295514 | + | 0.511845i | ||||
\(291\) | −4.87323 | + | 0.274204i | −0.285674 | + | 0.0160741i | ||||
\(292\) | −0.788281 | + | 2.94191i | −0.0461307 | + | 0.172162i | ||||
\(293\) | −11.7557 | − | 11.7557i | −0.686775 | − | 0.686775i | 0.274743 | − | 0.961518i | \(-0.411407\pi\) |
−0.961518 | + | 0.274743i | \(0.911407\pi\) | |||||||
\(294\) | −10.7191 | + | 5.66568i | −0.625153 | + | 0.330429i | ||||
\(295\) | −7.48666 | −0.435890 | ||||||||
\(296\) | 2.79750 | + | 4.84541i | 0.162601 | + | 0.281634i | ||||
\(297\) | 11.0117 | + | 4.08175i | 0.638961 | + | 0.236847i | ||||
\(298\) | 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 | ||||||||
\(303\) | −8.24568 | − | 25.0492i | −0.473702 | − | 1.43904i | ||||
\(304\) | −4.24023 | + | 1.13617i | −0.243194 | + | 0.0651636i | ||||
\(305\) | 9.03610 | + | 33.7232i | 0.517406 | + | 1.93098i | ||||
\(306\) | −12.9725 | − | 10.3406i | −0.741588 | − | 0.591134i | ||||
\(307\) | −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 | \(0.397780\pi\) |
−0.979574 | + | 0.201085i | \(0.935553\pi\) | |||||||
\(312\) | −6.24485 | + | 0.0436445i | −0.353545 | + | 0.00247088i | ||||
\(313\) | 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 | ||||
\(315\) | 4.16321 | − | 20.9494i | 0.234570 | − | 1.18037i | ||||
\(316\) | 6.23241i | 0.350600i | ||||||||
\(317\) | −9.06323 | − | 2.42848i | −0.509042 | − | 0.136397i | −0.00484849 | − | 0.999988i | \(-0.501543\pi\) |
−0.504193 | + | 0.863591i | \(0.668210\pi\) | |||||||
\(318\) | 18.4341 | − | 1.03724i | 1.03374 | − | 0.0581657i | ||||
\(319\) | −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 | ||||
\(324\) | −8.60130 | − | 2.64907i | −0.477850 | − | 0.147171i | ||||
\(325\) | 6.79159 | + | 4.38025i | 0.376730 | + | 0.242972i | ||||
\(326\) | −16.4062 | − | 9.47214i | −0.908657 | − | 0.524613i | ||||
\(327\) | 2.40634 | − | 4.76798i | 0.133071 | − | 0.263670i | ||||
\(328\) | −4.15422 | −0.229378 | ||||||||
\(329\) | −6.96664 | + | 21.8547i | −0.384083 | + | 1.20489i | ||||
\(330\) | −8.81255 | + | 5.77128i | −0.485115 | + | 0.317698i | ||||
\(331\) | 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 | ||||
\(333\) | −2.49808 | + | 16.5981i | −0.136894 | + | 0.909568i | ||||
\(334\) | 12.0217 | + | 20.8221i | 0.657796 | + | 1.13934i | ||||
\(335\) | 35.2272 | 1.92467 | ||||||||
\(336\) | −4.43740 | − | 1.14431i | −0.242080 | − | 0.0624271i | ||||
\(337\) | − | 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 | ||||
\(339\) | −0.660063 | − | 0.589740i | −0.0358497 | − | 0.0320303i | ||||
\(340\) | 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 | ||||
\(345\) | 2.31849 | + | 1.17011i | 0.124823 | + | 0.0629966i | ||||
\(346\) | −3.36577 | − | 12.5612i | −0.180945 | − | 0.675297i | ||||
\(347\) | 25.8669 | + | 14.9343i | 1.38861 | + | 0.801714i | 0.993159 | − | 0.116773i | \(-0.0372549\pi\) |
0.395451 | + | 0.918487i | \(0.370588\pi\) | |||||||
\(348\) | 2.02557 | + | 6.15340i | 0.108582 | + | 0.329857i | ||||
\(349\) | 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 | ||||
\(351\) | −14.7314 | − | 11.5752i | −0.786304 | − | 0.617840i | ||||
\(352\) | 1.13005 | + | 1.95730i | 0.0602318 | + | 0.104325i | ||||
\(353\) | −5.45562 | − | 20.3606i | −0.290373 | − | 1.08369i | −0.944823 | − | 0.327582i | \(-0.893766\pi\) |
0.654450 | − | 0.756106i | \(-0.272900\pi\) | |||||||
\(354\) | −3.21058 | + | 3.59343i | −0.170641 | + | 0.190989i | ||||
\(355\) | 36.4493 | − | 21.0440i | 1.93453 | − | 1.11690i | ||||
\(356\) | −1.69980 | + | 1.69980i | −0.0900892 | + | 0.0900892i | ||||
\(357\) | −6.78902 | − | 24.4147i | −0.359313 | − | 1.29216i | ||||
\(358\) | 7.23956 | − | 7.23956i | 0.382623 | − | 0.382623i | ||||
\(359\) | −7.21572 | + | 26.9294i | −0.380831 | + | 1.42128i | 0.463804 | + | 0.885938i | \(0.346484\pi\) |
−0.844635 | + | 0.535343i | \(0.820182\pi\) | |||||||
\(360\) | 6.49446 | − | 4.79530i | 0.342288 | − | 0.252735i | ||||
\(361\) | −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 | ||||||
\(366\) | 20.0614 | + | 10.1247i | 1.04863 | + | 0.529229i | ||||
\(367\) | 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 | ||||
\(369\) | −9.74538 | − | 7.76823i | −0.507324 | − | 0.404398i | ||||
\(370\) | −10.6463 | − | 10.6463i | −0.553472 | − | 0.553472i | ||||
\(371\) | 23.7384 | + | 15.2285i | 1.23243 | + | 0.790625i | ||||
\(372\) | −9.11501 | + | 5.96935i | −0.472591 | + | 0.309496i | ||||
\(373\) | −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 | ||||
\(375\) | 12.8372 | − | 0.722317i | 0.662910 | − | 0.0373003i | ||||
\(376\) | −7.50830 | + | 4.33492i | −0.387211 | + | 0.223556i | ||||
\(377\) | −0.663480 | + | 13.4691i | −0.0341709 | + | 0.693696i | ||||
\(378\) | −8.26989 | − | 10.9822i | −0.425358 | − | 0.564864i | ||||
\(379\) | 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 | ||||
\(381\) | −15.4968 | − | 13.8457i | −0.793923 | − | 0.709338i | ||||
\(382\) | 21.3888 | − | 5.73111i | 1.09435 | − | 0.293229i | ||||
\(383\) | 30.5310 | + | 8.18076i | 1.56006 | + | 0.418018i | 0.932683 | − | 0.360696i | \(-0.117461\pi\) |
0.627379 | + | 0.778714i | \(0.284128\pi\) | |||||||
\(384\) | −0.948926 | − | 1.44898i | −0.0484247 | − | 0.0739429i | ||||
\(385\) | −16.0736 | − | 0.752600i | −0.819187 | − | 0.0383561i | ||||
\(386\) | 14.4837i | 0.737203i | ||||||||
\(387\) | 12.8945 | − | 1.45569i | 0.655466 | − | 0.0739971i | ||||
\(388\) | −0.729355 | − | 2.72199i | −0.0370274 | − | 0.138188i | ||||
\(389\) | −0.939259 | + | 1.62684i | −0.0476223 | + | 0.0824843i | −0.888854 | − | 0.458191i | \(-0.848498\pi\) |
0.841232 | + | 0.540675i | \(0.181831\pi\) | |||||||
\(390\) | 16.2018 | − | 4.46285i | 0.820411 | − | 0.225985i | ||||
\(391\) | 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 | ||||
\(396\) | −1.00910 | + | 6.70479i | −0.0507091 | + | 0.336928i | ||||
\(397\) | 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 | ||||
\(399\) | −10.2220 | − | 17.3260i | −0.511739 | − | 0.867385i | ||||
\(400\) | 2.24143i | 0.112072i | ||||||||
\(401\) | −5.22555 | + | 19.5020i | −0.260951 | + | 0.973884i | 0.703731 | + | 0.710467i | \(0.251516\pi\) |
−0.964682 | + | 0.263417i | \(0.915151\pi\) | |||||||
\(402\) | 15.1069 | − | 16.9083i | 0.753462 | − | 0.843308i | ||||
\(403\) | −22.1707 | + | 4.78534i | −1.10440 | + | 0.238375i | ||||
\(404\) | 13.1857 | − | 7.61277i | 0.656014 | − | 0.378750i | ||||
\(405\) | 24.2024 | + | 0.895086i | 1.20263 | + | 0.0444772i | ||||
\(406\) | −3.00543 | + | 9.42820i | −0.149157 | + | 0.467914i | ||||
\(407\) | 12.6452 | 0.626801 | ||||||||
\(408\) | 4.31545 | − | 8.55073i | 0.213646 | − | 0.423324i | ||||
\(409\) | 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 | ||||
\(411\) | 8.98220 | − | 17.7975i | 0.443059 | − | 0.877888i | ||||
\(412\) | 1.70877 | 0.0841852 | ||||||||
\(413\) | −7.19131 | + | 1.57049i | −0.353861 | + | 0.0772787i | ||||
\(414\) | 1.55589 | − | 0.611030i | 0.0764677 | − | 0.0300305i | ||||
\(415\) | −37.9575 | + | 21.9148i | −1.86326 | + | 1.07575i | ||||
\(416\) | −0.760708 | − | 3.52439i | −0.0372968 | − | 0.172797i | ||||
\(417\) | −8.89021 | + | 9.95032i | −0.435355 | + | 0.487269i | ||||
\(418\) | −2.56785 | + | 9.58334i | −0.125598 | + | 0.468737i | ||||
\(419\) | − | 1.60403i | − | 0.0783619i | −0.999232 | − | 0.0391809i | \(-0.987525\pi\) | ||
0.999232 | − | 0.0391809i | \(-0.0124749\pi\) | |||||||
\(420\) | 12.3311 | − | 0.116166i | 0.601697 | − | 0.00566831i | ||||
\(421\) | 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 | ||||
\(423\) | −25.7198 | − | 3.87094i | −1.25054 | − | 0.188212i | ||||
\(424\) | 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 | ||||||||
\(429\) | −6.97156 | + | 12.2724i | −0.336590 | + | 0.592516i | ||||
\(430\) | −5.81991 | + | 10.0804i | −0.280661 | + | 0.486119i | ||||
\(431\) | 4.15891 | + | 15.5213i | 0.200328 | + | 0.747633i | 0.990823 | + | 0.135165i | \(0.0431564\pi\) |
−0.790495 | + | 0.612468i | \(0.790177\pi\) | |||||||
\(432\) | 0.483450 | − | 5.17361i | 0.0232600 | − | 0.248916i | ||||
\(433\) | 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 | ||||
\(435\) | −9.55078 | − | 14.5837i | −0.457925 | − | 0.699237i | ||||
\(436\) | 2.97844 | + | 0.798071i | 0.142642 | + | 0.0382207i | ||||
\(437\) | 2.36261 | − | 0.633060i | 0.113019 | − | 0.0302834i | ||||
\(438\) | −3.93385 | − | 3.51474i | −0.187967 | − | 0.167941i | ||||
\(439\) | −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 | ||||
\(441\) | −0.395627 | − | 20.9963i | −0.0188394 | − | 0.999823i | ||||
\(442\) | 14.7750 | − | 13.3877i | 0.702775 | − | 0.636789i | ||||
\(443\) | −11.4832 | + | 6.62982i | −0.545583 | + | 0.314992i | −0.747339 | − | 0.664443i | \(-0.768669\pi\) |
0.201756 | + | 0.979436i | \(0.435335\pi\) | |||||||
\(444\) | −9.67551 | + | 0.544417i | −0.459179 | + | 0.0258369i | ||||
\(445\) | 3.23441 | − | 5.60216i | 0.153326 | − | 0.265568i | ||||
\(446\) | 9.33481 | + | 16.1684i | 0.442016 | + | 0.765595i | ||||
\(447\) | −14.4551 | + | 9.46656i | −0.683705 | + | 0.447753i | ||||
\(448\) | 0.123744 | − | 2.64286i | 0.00584636 | − | 0.124863i | ||||
\(449\) | −11.1834 | − | 11.1834i | −0.527778 | − | 0.527778i | 0.392131 | − | 0.919909i | \(-0.371738\pi\) |
−0.919909 | + | 0.392131i | \(0.871738\pi\) | |||||||
\(450\) | −4.19139 | + | 5.25817i | −0.197584 | + | 0.247873i | ||||
\(451\) | −4.69447 | + | 8.13107i | −0.221054 | + | 0.382877i | ||||
\(452\) | 0.255518 | − | 0.442571i | 0.0120186 | − | 0.0208168i | ||||
\(453\) | −6.01597 | − | 3.03618i | −0.282655 | − | 0.142652i | ||||
\(454\) | − | 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 | ||||
\(459\) | 26.1131 | − | 11.9894i | 1.21886 | − | 0.559619i | ||||
\(460\) | −0.388071 | + | 1.44830i | −0.0180939 | + | 0.0675274i | ||||
\(461\) | 20.9563 | − | 20.9563i | 0.976032 | − | 0.976032i | −0.0236871 | − | 0.999719i | \(-0.507541\pi\) |
0.999719 | + | 0.0236871i | \(0.00754055\pi\) | |||||||
\(462\) | −7.25424 | + | 7.39222i | −0.337498 | + | 0.343917i | ||||
\(463\) | 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 | ||||
\(465\) | 19.5351 | − | 21.8645i | 0.905918 | − | 1.01394i | ||||
\(466\) | 3.19815 | + | 11.9357i | 0.148151 | + | 0.552908i | ||||
\(467\) | −9.89030 | − | 17.1305i | −0.457669 | − | 0.792705i | 0.541169 | − | 0.840914i | \(-0.317982\pi\) |
−0.998837 | + | 0.0482088i | \(0.984649\pi\) | |||||||
\(468\) | 4.80593 | − | 9.69036i | 0.222154 | − | 0.447937i | ||||
\(469\) | 33.8375 | − | 7.38967i | 1.56247 | − | 0.341223i | ||||
\(470\) | 16.4971 | − | 16.4971i | 0.760956 | − | 0.760956i | ||||
\(471\) | −3.47887 | − | 10.5683i | −0.160298 | − | 0.486961i | ||||
\(472\) | −2.40939 | − | 1.39106i | −0.110901 | − | 0.0640287i | ||||
\(473\) | −2.53022 | − | 9.44290i | −0.116340 | − | 0.434185i | ||||
\(474\) | −9.63707 | − | 4.86371i | −0.442645 | − | 0.223398i | ||||
\(475\) | −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 | −0.890564 | − | 0.454857i | \(-0.849690\pi\) |
−0.543823 | + | 0.839200i | \(0.683024\pi\) | |||||||
\(480\) | 3.47572 | + | 3.10542i | 0.158644 | + | 0.141742i | ||||
\(481\) | −19.2052 | − | 6.17353i | −0.875681 | − | 0.281489i | ||||
\(482\) | − | 26.4896i | − | 1.20657i | ||||||
\(483\) | 2.47248 | + | 0.637597i | 0.112502 | + | 0.0290116i | ||||
\(484\) | −5.89195 | −0.267816 | ||||||||
\(485\) | 3.79162 | + | 6.56728i | 0.172169 | + | 0.298205i | ||||
\(486\) | 10.8086 | − | 11.2327i | 0.490287 | − | 0.509528i | ||||
\(487\) | −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 | ||||
\(489\) | 27.4499 | − | 17.9767i | 1.24133 | − | 0.812935i | ||||
\(490\) | 15.3618 | + | 10.9016i | 0.693977 | + | 0.492482i | ||||
\(491\) | 10.5203 | 0.474776 | 0.237388 | − | 0.971415i | \(-0.423709\pi\) | ||||
0.237388 | + | 0.971415i | \(0.423709\pi\) | |||||||
\(492\) | 3.24191 | − | 6.42360i | 0.146157 | − | 0.289598i | ||||
\(493\) | −17.9118 | − | 10.3414i | −0.806707 | − | 0.465753i | ||||
\(494\) | 8.57865 | − | 13.3012i | 0.385972 | − | 0.598450i | ||||
\(495\) | −2.04680 | − | 18.1306i | −0.0919969 | − | 0.814908i | ||||
\(496\) | −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 | ||||
\(501\) | −41.5785 | + | 2.33952i | −1.85759 | + | 0.104522i | ||||
\(502\) | 7.00298 | + | 1.87644i | 0.312558 | + | 0.0837497i | ||||
\(503\) | 15.9064i | 0.709233i | 0.935012 | + | 0.354616i | \(0.115389\pi\) | ||||
−0.935012 | + | 0.354616i | \(0.884611\pi\) | |||||||
\(504\) | 5.23233 | − | 5.96848i | 0.233066 | − | 0.265857i | ||||
\(505\) | −28.9714 | + | 28.9714i | −1.28921 | + | 1.28921i | ||||
\(506\) | −0.629652 | − | 1.09059i | −0.0279914 | − | 0.0484826i | ||||
\(507\) | 16.5797 | − | 15.2353i | 0.736329 | − | 0.676624i | ||||
\(508\) | 5.99898 | − | 10.3905i | 0.266162 | − | 0.461006i | ||||
\(509\) | −7.67182 | − | 2.05566i | −0.340048 | − | 0.0911155i | 0.0847541 | − | 0.996402i | \(-0.472990\pi\) |
−0.424802 | + | 0.905286i | \(0.639656\pi\) | |||||||
\(510\) | −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 | ||||
\(513\) | 17.5599 | − | 14.5586i | 0.775288 | − | 0.642777i | ||||
\(514\) | −1.18360 | − | 4.41727i | −0.0522065 | − | 0.194837i | ||||
\(515\) | −4.44161 | + | 1.19013i | −0.195721 | + | 0.0524432i | ||||
\(516\) | 2.34254 | + | 7.11631i | 0.103125 | + | 0.313278i | ||||
\(517\) | 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 | 0.0463164 | − | 0.998927i | \(-0.485252\pi\) |
−0.841938 | + | 0.539575i | \(0.818585\pi\) | |||||||
\(522\) | −11.0956 | − | 1.66994i | −0.485643 | − | 0.0730912i | ||||
\(523\) | 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 | ||||||||
\(525\) | −9.89605 | + | 2.75181i | −0.431899 | + | 0.120099i | ||||
\(526\) | −0.878650 | − | 0.878650i | −0.0383110 | − | 0.0383110i | ||||
\(527\) | 9.00338 | − | 33.6011i | 0.392193 | − | 1.46369i | ||||
\(528\) | −3.90842 | + | 0.219917i | −0.170092 | + | 0.00957067i | ||||
\(529\) | 11.3448 | − | 19.6497i | 0.493251 | − | 0.854336i | ||||
\(530\) | −14.3427 | − | 24.8423i | −0.623007 | − | 1.07908i | ||||
\(531\) | −3.05095 | − | 7.76874i | −0.132400 | − | 0.337135i | ||||
\(532\) | 8.58771 | − | 7.81949i | 0.372324 | − | 0.339018i | ||||
\(533\) | 11.0995 | − | 10.0573i | 0.480772 | − | 0.435631i | ||||
\(534\) | −1.30187 | − | 3.95488i | −0.0563372 | − | 0.171144i | ||||
\(535\) | 13.9976 | − | 3.75064i | 0.605168 | − | 0.162154i | ||||
\(536\) | 11.3370 | + | 6.54540i | 0.489682 | + | 0.282718i | ||||
\(537\) | 5.54473 | + | 16.8441i | 0.239273 | + | 0.726876i | ||||
\(538\) | −9.63260 | − | 9.63260i | −0.415291 | − | 0.415291i | ||||
\(539\) | −15.5974 | + | 2.64888i | −0.671826 | + | 0.114095i | ||||
\(540\) | 2.34669 | + | 13.7845i | 0.100985 | + | 0.593189i | ||||
\(541\) | −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 | ||||
\(543\) | −5.54231 | − | 4.95183i | −0.237843 | − | 0.212504i | ||||
\(544\) | 5.34143 | + | 1.43123i | 0.229012 | + | 0.0613636i | ||||
\(545\) | −8.29770 | −0.355434 | ||||||||
\(546\) | 14.6265 | − | 7.68547i | 0.625955 | − | 0.328908i | ||||
\(547\) | −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 | ||||
\(549\) | −31.3114 | + | 23.1194i | −1.33634 | + | 0.986711i | ||||
\(550\) | 4.38716 | + | 2.53293i | 0.187069 | + | 0.108004i | ||||
\(551\) | −15.8593 | − | 4.24949i | −0.675629 | − | 0.181034i | ||||
\(552\) | 0.528732 | + | 0.807356i | 0.0225043 | + | 0.0343634i | ||||
\(553\) | −7.56778 | − | 14.6502i | −0.321815 | − | 0.622991i | ||||
\(554\) | 9.49541 | + | 9.49541i | 0.403421 | + | 0.403421i | ||||
\(555\) | 24.7704 | − | 8.15390i | 1.05144 | − | 0.346114i | ||||
\(556\) | −6.67167 | − | 3.85189i | −0.282942 | − | 0.163357i | ||||
\(557\) | 33.1313 | − | 8.87750i | 1.40382 | − | 0.376152i | 0.524103 | − | 0.851655i | \(-0.324401\pi\) |
0.879714 | + | 0.475503i | \(0.157734\pi\) | |||||||
\(558\) | −2.11705 | − | 18.7528i | −0.0896218 | − | 0.793870i | ||||
\(559\) | −0.767304 | + | 15.5768i | −0.0324535 | + | 0.658831i | ||||
\(560\) | 1.51905 | + | 6.95575i | 0.0641915 | + | 0.293934i | ||||
\(561\) | −11.8597 | − | 18.1094i | −0.500717 | − | 0.764579i | ||||
\(562\) | −4.17125 | − | 7.22481i | −0.175953 | − | 0.304760i | ||||
\(563\) | 9.43062 | − | 16.3343i | 0.397453 | − | 0.688409i | −0.595958 | − | 0.803016i | \(-0.703227\pi\) |
0.993411 | + | 0.114606i | \(0.0365607\pi\) | |||||||
\(564\) | −0.843612 | − | 14.9929i | −0.0355225 | − | 0.631314i | ||||
\(565\) | −0.355927 | + | 1.32834i | −0.0149740 | + | 0.0558836i | ||||
\(566\) | 0.142289 | + | 0.142289i | 0.00598084 | + | 0.00598084i | ||||
\(567\) | 23.4353 | − | 4.21720i | 0.984192 | − | 0.177106i | ||||
\(568\) | 15.6403 | 0.656254 | ||||||||
\(569\) | −0.844881 | − | 1.46338i | −0.0354193 | − | 0.0613480i | 0.847772 | − | 0.530360i | \(-0.177943\pi\) |
−0.883192 | + | 0.469012i | \(0.844610\pi\) | |||||||
\(570\) | 1.14945 | + | 20.4283i | 0.0481451 | + | 0.855647i | ||||
\(571\) | 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 | ||||||
\(576\) | 2.98106 | − | 0.336539i | 0.124211 | − | 0.0140225i | ||||
\(577\) | −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 | ||||
\(579\) | −22.3960 | − | 11.3030i | −0.930744 | − | 0.469735i | ||||
\(580\) | 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 | ||||
\(585\) | −5.74290 | + | 28.5354i | −0.237440 | + | 1.17979i | ||||
\(586\) | 8.31253 | + | 14.3977i | 0.343388 | + | 0.594765i | ||||
\(587\) | 17.3715 | − | 17.3715i | 0.717000 | − | 0.717000i | −0.250990 | − | 0.967990i | \(-0.580756\pi\) |
0.967990 | + | 0.250990i | \(0.0807561\pi\) | |||||||
\(588\) | 11.8203 | − | 2.69830i | 0.487460 | − | 0.111276i | ||||
\(589\) | − | 27.6147i | − | 1.13784i | ||||||
\(590\) | 7.23156 | + | 1.93769i | 0.297718 | + | 0.0797734i | ||||
\(591\) | −0.894679 | − | 15.9005i | −0.0368022 | − | 0.654058i | ||||
\(592\) | −1.44809 | − | 5.40435i | −0.0595162 | − | 0.222117i | ||||
\(593\) | −7.52671 | + | 28.0901i | −0.309085 | + | 1.15352i | 0.620286 | + | 0.784375i | \(0.287016\pi\) |
−0.929371 | + | 0.369146i | \(0.879650\pi\) | |||||||
\(594\) | −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 | ||||
\(597\) | −25.7559 | + | 8.47833i | −1.05412 | + | 0.346995i | ||||
\(598\) | 0.423859 | + | 1.96375i | 0.0173329 | + | 0.0803039i | ||||
\(599\) | −31.6180 | − | 18.2546i | −1.29187 | − | 0.745864i | −0.312888 | − | 0.949790i | \(-0.601297\pi\) |
−0.978986 | + | 0.203926i | \(0.934630\pi\) | |||||||
\(600\) | −3.46589 | − | 1.74919i | −0.141494 | − | 0.0714104i | ||||
\(601\) | −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 | ||||
\(603\) | 14.3557 | + | 36.5545i | 0.584611 | + | 1.48862i | ||||
\(604\) | 1.00696 | − | 3.75803i | 0.0409727 | − | 0.152912i | ||||
\(605\) | 15.3149 | − | 4.10362i | 0.622641 | − | 0.166836i | ||||
\(606\) | 1.48151 | + | 26.3298i | 0.0601822 | + | 1.06957i | ||||
\(607\) | −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 | ||||||||
\(609\) | −12.2333 | − | 12.0049i | −0.495717 | − | 0.486464i | ||||
\(610\) | − | 34.9128i | − | 1.41358i | ||||||
\(611\) | 9.56632 | − | 29.7598i | 0.387012 | − | 1.20395i | ||||
\(612\) | 9.85412 | + | 13.3458i | 0.398329 | + | 0.539472i | ||||
\(613\) | −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 | −0.903425 | − | 0.428746i | \(-0.858956\pi\) |
0.428746 | + | 0.903425i | \(0.358956\pi\) | |||||||
\(618\) | −1.33351 | + | 2.64225i | −0.0536416 | + | 0.106287i | ||||
\(619\) | 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 | ||||
\(621\) | −0.269373 | + | 2.88268i | −0.0108096 | + | 0.115678i | ||||
\(622\) | 16.5584 | − | 16.5584i | 0.663932 | − | 0.663932i | ||||
\(623\) | 1.93164 | − | 6.05964i | 0.0773894 | − | 0.242774i | ||||
\(624\) | 6.04335 | + | 1.57413i | 0.241928 | + | 0.0630155i | ||||
\(625\) | −15.5916 | − | 27.0054i | −0.623663 | − | 1.08022i | ||||
\(626\) | −3.48372 | − | 13.0014i | −0.139237 | − | 0.519641i | ||||
\(627\) | −12.8146 | − | 11.4494i | −0.511767 | − | 0.457244i | ||||
\(628\) | 5.56308 | − | 3.21184i | 0.221991 | − | 0.128167i | ||||
\(629\) | 21.8776 | − | 21.8776i | 0.872315 | − | 0.872315i | ||||
\(630\) | −9.44346 | + | 19.1581i | −0.376236 | + | 0.763275i | ||||
\(631\) | −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 | ||||
\(633\) | −7.50298 | + | 8.39767i | −0.298217 | + | 0.333777i | ||||
\(634\) | 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 | ||||||||
\(639\) | 36.6907 | + | 29.2468i | 1.45146 | + | 1.15699i | ||||
\(640\) | −1.34550 | + | 2.33047i | −0.0531854 | + | 0.0921198i | ||||
\(641\) | 10.3711 | − | 17.9633i | 0.409635 | − | 0.709509i | −0.585213 | − | 0.810879i | \(-0.698989\pi\) |
0.994849 | + | 0.101370i | \(0.0323226\pi\) | |||||||
\(642\) | 4.20251 | − | 8.32695i | 0.165860 | − | 0.328639i | ||||
\(643\) | 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 | ||||
\(645\) | −11.0453 | − | 16.8659i | −0.434909 | − | 0.664093i | ||||
\(646\) | 12.1375 | + | 21.0228i | 0.477544 | + | 0.827131i | ||||
\(647\) | 12.8158 | − | 22.1976i | 0.503840 | − | 0.872677i | −0.496150 | − | 0.868237i | \(-0.665253\pi\) |
0.999990 | − | 0.00444027i | \(-0.00141339\pi\) | |||||||
\(648\) | 7.62259 | + | 4.78499i | 0.299444 | + | 0.187972i | ||||
\(649\) | −5.44545 | + | 3.14393i | −0.213753 | + | 0.123410i | ||||
\(650\) | −5.42648 | − | 5.98879i | −0.212844 | − | 0.234900i | ||||
\(651\) | 14.1779 | − | 25.0999i | 0.555674 | − | 0.983742i | ||||
\(652\) | 13.3956 | + | 13.3956i | 0.524613 | + | 0.524613i | ||||
\(653\) | −6.17572 | + | 3.56555i | −0.241675 | + | 0.139531i | −0.615946 | − | 0.787788i | \(-0.711226\pi\) |
0.374272 | + | 0.927319i | \(0.377893\pi\) | |||||||
\(654\) | −3.55839 | + | 3.98271i | −0.139144 | + | 0.155736i | ||||
\(655\) | 4.36503 | − | 1.16961i | 0.170556 | − | 0.0457003i | ||||
\(656\) | 4.01267 | + | 1.07519i | 0.156668 | + | 0.0419792i | ||||
\(657\) | 8.50472 | − | 3.33998i | 0.331801 | − | 0.130305i | ||||
\(658\) | 12.3857 | − | 19.3069i | 0.482844 | − | 0.752663i | ||||
\(659\) | − | 9.51640i | − | 0.370706i | −0.982672 | − | 0.185353i | \(-0.940657\pi\) | ||
0.982672 | − | 0.185353i | \(-0.0593429\pi\) | |||||||
\(660\) | 10.0060 | − | 3.29377i | 0.389483 | − | 0.128210i | ||||
\(661\) | 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 | ||||
\(663\) | 9.17095 | + | 33.2940i | 0.356170 | + | 1.29303i | ||||
\(664\) | −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 | ||||
\(669\) | −32.2857 | + | 1.81663i | −1.24824 | + | 0.0702351i | ||||
\(670\) | −34.0269 | − | 9.11747i | −1.31457 | − | 0.352239i | ||||
\(671\) | 20.7341 | + | 20.7341i | 0.800431 | + | 0.800431i | ||||
\(672\) | 3.99004 | + | 2.25380i | 0.153919 | + | 0.0869423i | ||||
\(673\) | 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 | ||||
\(675\) | −4.85971 | − | 10.5845i | −0.187050 | − | 0.407398i | ||||
\(676\) | 10.5650 | + | 7.57500i | 0.406346 | + | 0.291346i | ||||
\(677\) | 42.3224 | − | 24.4349i | 1.62658 | − | 0.939108i | 0.641480 | − | 0.767140i | \(-0.278321\pi\) |
0.985103 | − | 0.171968i | \(-0.0550125\pi\) | |||||||
\(678\) | 0.484936 | + | 0.740482i | 0.0186239 | + | 0.0284380i | ||||
\(679\) | 5.01967 | + | 5.51283i | 0.192637 | + | 0.211563i | ||||
\(680\) | −14.8808 | −0.570653 | ||||||||
\(681\) | 32.5429 | + | 16.4240i | 1.24705 | + | 0.629369i | ||||
\(682\) | −13.7330 | + | 3.67975i | −0.525865 | + | 0.140905i | ||||
\(683\) | −21.5900 | + | 5.78503i | −0.826119 | + | 0.221358i | −0.647020 | − | 0.762473i | \(-0.723985\pi\) |
−0.179099 | + | 0.983831i | \(0.557318\pi\) | |||||||
\(684\) | 10.2981 | + | 8.20877i | 0.393756 | + | 0.313870i | ||||
\(685\) | −30.9730 | −1.18342 | ||||||||
\(686\) | 17.0426 | + | 7.24901i | 0.650691 | + | 0.276769i | ||||
\(687\) | 34.0381 | − | 22.2913i | 1.29863 | − | 0.850466i | ||||
\(688\) | −3.74597 | + | 2.16274i | −0.142814 | + | 0.0824537i | ||||
\(689\) | −32.2994 | − | 20.8316i | −1.23051 | − | 0.793619i | ||||
\(690\) | −1.93664 | − | 1.73031i | −0.0737265 | − | 0.0658717i | ||||
\(691\) | 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 | ||||||||
\(693\) | −5.76933 | − | 16.9859i | −0.219159 | − | 0.645242i | ||||
\(694\) | −21.1203 | − | 21.1203i | −0.801714 | − | 0.801714i | ||||
\(695\) | 20.0244 | + | 5.36553i | 0.759569 | + | 0.203526i | ||||
\(696\) | −0.363937 | − | 6.46798i | −0.0137950 | − | 0.245168i | ||||
\(697\) | 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 | \(-0.397851\pi\) | ||||
0.315431 | + | 0.948948i | \(0.397851\pi\) | |||||||
\(702\) | 11.2335 | + | 14.9936i | 0.423983 | + | 0.565896i | ||||
\(703\) | 12.2805 | − | 21.2704i | 0.463167 | − | 0.802229i | ||||
\(704\) | −0.584957 | − | 2.18309i | −0.0220464 | − | 0.0822782i | ||||
\(705\) | 12.6350 | + | 38.3834i | 0.475863 | + | 1.44560i | ||||
\(706\) | 21.0789i | 0.793314i | ||||||||
\(707\) | −21.7511 | + | 33.9059i | −0.818035 | + | 1.27516i | ||||
\(708\) | 4.03123 | − | 2.64002i | 0.151503 | − | 0.0992182i | ||||
\(709\) | 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 | ||||
\(711\) | 15.0413 | − | 11.1061i | 0.564095 | − | 0.416510i | ||||
\(712\) | 2.08182 | − | 1.20194i | 0.0780196 | − | 0.0450446i | ||||
\(713\) | 2.47847 | + | 2.47847i | 0.0928193 | + | 0.0928193i | ||||
\(714\) | 0.238715 | + | 25.3399i | 0.00893369 | + | 0.948321i | ||||
\(715\) | 21.9021 | + | 1.07888i | 0.819091 | + | 0.0403478i | ||||
\(716\) | −8.86662 | + | 5.11914i | −0.331361 | + | 0.191311i | ||||
\(717\) | 2.24102 | + | 39.8281i | 0.0836926 | + | 1.48741i | ||||
\(718\) | 13.9397 | − | 24.1443i | 0.520225 | − | 0.901056i | ||||
\(719\) | 8.81931 | + | 15.2755i | 0.328905 | + | 0.569680i | 0.982295 | − | 0.187342i | \(-0.0599871\pi\) |
−0.653390 | + | 0.757022i | \(0.726654\pi\) | |||||||
\(720\) | −7.51428 | + | 2.95102i | −0.280041 | + | 0.109978i | ||||
\(721\) | −4.01673 | + | 2.07490i | −0.149591 | + | 0.0772733i | ||||
\(722\) | 0.191225 | + | 0.191225i | 0.00711667 | + | 0.00711667i | ||||
\(723\) | 40.9604 | + | 20.6722i | 1.52333 | + | 0.768808i | ||||
\(724\) | 2.14550 | − | 3.71611i | 0.0797368 | − | 0.138108i | ||||
\(725\) | −4.19170 | + | 7.26024i | −0.155676 | + | 0.269638i | ||||
\(726\) | 4.59802 | − | 9.11063i | 0.170648 | − | 0.338127i | ||||
\(727\) | 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 | ||||
\(732\) | −16.7574 | − | 14.9720i | −0.619370 | − | 0.553382i | ||||
\(733\) | 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 | ||||
\(735\) | −28.8451 | + | 15.2463i | −1.06397 | + | 0.562368i | ||||
\(736\) | −0.393993 | + | 0.393993i | −0.0145228 | + | 0.0145228i | ||||
\(737\) | 25.6227 | − | 14.7933i | 0.943823 | − | 0.544916i | ||||
\(738\) | 7.40275 | + | 10.0258i | 0.272499 | + | 0.369056i | ||||
\(739\) | 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 | ||||
\(741\) | 13.8728 | + | 23.6452i | 0.509629 | + | 0.868626i | ||||
\(742\) | −18.9881 | − | 20.8535i | −0.697074 | − | 0.765558i | ||||
\(743\) | −15.1463 | + | 15.1463i | −0.555662 | + | 0.555662i | −0.928069 | − | 0.372407i | \(-0.878533\pi\) |
0.372407 | + | 0.928069i | \(0.378533\pi\) | |||||||
\(744\) | 10.3494 | − | 3.40681i | 0.379428 | − | 0.124900i | ||||
\(745\) | 23.2489 | + | 13.4228i | 0.851775 | + | 0.491773i | ||||
\(746\) | 1.92246 | + | 7.17473i | 0.0703864 | + | 0.262686i | ||||
\(747\) | −38.2088 | − | 30.4570i | −1.39799 | − | 1.11436i | ||||
\(748\) | 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 | ||||
\(753\) | −8.36657 | + | 9.36423i | −0.304895 | + | 0.341252i | ||||
\(754\) | 4.12694 | − | 12.8385i | 0.150294 | − | 0.467550i | ||||
\(755\) | 10.4696i | 0.381027i | ||||||||
\(756\) | 5.14570 | + | 12.7484i | 0.187147 | + | 0.463655i | ||||
\(757\) | −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 | ||||
\(759\) | 2.17773 | − | 0.122536i | 0.0790467 | − | 0.00444776i | ||||
\(760\) | −11.4104 | + | 3.05741i | −0.413900 | + | 0.110904i | ||||
\(761\) | 9.06509 | − | 33.8314i | 0.328609 | − | 1.22639i | −0.582024 | − | 0.813171i | \(-0.697739\pi\) |
0.910634 | − | 0.413215i | \(-0.135594\pi\) | |||||||
\(762\) | 11.3852 | + | 17.3848i | 0.412441 | + | 0.629785i | ||||
\(763\) | −7.97035 | + | 1.74062i | −0.288546 | + | 0.0630148i | ||||
\(764\) | −22.1433 | −0.801117 | ||||||||
\(765\) | −34.9089 | − | 27.8265i | −1.26213 | − | 1.00607i | ||||
\(766\) | −27.3734 | − | 15.8040i | −0.989040 | − | 0.571023i | ||||
\(767\) | 9.80527 | − | 2.11638i | 0.354048 | − | 0.0764181i | ||||
\(768\) | 0.541568 | + | 1.64521i | 0.0195422 | + | 0.0593663i | ||||
\(769\) | −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 | 0.962514 | − | 0.271233i | \(-0.0874313\pi\) |
−0.969178 | + | 0.246362i | \(0.920765\pi\) | |||||||
\(774\) | −12.8319 | − | 1.93126i | −0.461234 | − | 0.0694176i | ||||
\(775\) | −13.6196 | − | 3.64936i | −0.489230 | − | 0.131089i | ||||
\(776\) | 2.81801i | 0.101161i | ||||||||
\(777\) | 22.0827 | − | 13.0283i | 0.792212 | − | 0.467389i | ||||
\(778\) | 1.32831 | − | 1.32831i | 0.0476223 | − | 0.0476223i | ||||
\(779\) | 9.11812 | + | 15.7930i | 0.326690 | + | 0.565844i | ||||
\(780\) | −16.8048 | + | 0.117447i | −0.601709 | + | 0.00420527i | ||||
\(781\) | 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 | ||||
\(786\) | 1.31052 | − | 2.59669i | 0.0467446 | − | 0.0926208i | ||||
\(787\) | −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 | ||||
\(789\) | 2.04433 | − | 0.672952i | 0.0727801 | − | 0.0239577i | ||||
\(790\) | 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 | ||||
\(795\) | 49.6061 | − | 2.79121i | 1.75935 | − | 0.0989940i | ||||
\(796\) | −7.82757 | − | 13.5577i | −0.277441 | − | 0.480542i | ||||
\(797\) | −21.2331 | −0.752116 | −0.376058 | − | 0.926596i | \(-0.622721\pi\) | ||||
−0.376058 | + | 0.926596i | \(0.622721\pi\) | |||||||
\(798\) | 5.38938 | + | 19.3813i | 0.190782 | + | 0.686090i | ||||
\(799\) | 33.9008 | + | 33.9008i | 1.19932 | + | 1.19932i | ||||
\(800\) | 0.580125 | − | 2.16506i | 0.0205105 | − | 0.0765463i | ||||
\(801\) | 7.13133 | + | 1.07329i | 0.251973 | + | 0.0379230i | ||||
\(802\) | 10.0950 | − | 17.4850i | 0.356466 | − | 0.617417i | ||||
\(803\) | −3.44178 | − | 5.96133i | −0.121458 | − | 0.210371i | ||||
\(804\) | −18.9683 | + | 12.4222i | −0.668960 | + | 0.438097i | ||||
\(805\) | −0.846398 | − | 3.87567i | −0.0298316 | − | 0.136600i | ||||
\(806\) | 22.6538 | + | 1.11591i | 0.797945 | + | 0.0393061i | ||||
\(807\) | 22.4119 | − | 7.37755i | 0.788937 | − | 0.259702i | ||||
\(808\) | −14.7067 | + | 3.94066i | −0.517382 | + | 0.138632i | ||||
\(809\) | 28.0507 | + | 16.1951i | 0.986211 | + | 0.569389i | 0.904139 | − | 0.427238i | \(-0.140513\pi\) |
0.0820712 | + | 0.996626i | \(0.473847\pi\) | |||||||
\(810\) | −23.1460 | − | 7.12862i | −0.813269 | − | 0.250474i | ||||
\(811\) | 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 | ||||
\(813\) | −7.71871 | + | 5.05493i | −0.270707 | + | 0.177284i | ||||
\(814\) | −12.2144 | − | 3.27283i | −0.428113 | − | 0.114713i | ||||
\(815\) | −44.1490 | − | 25.4894i | −1.54647 | − | 0.892856i | ||||
\(816\) | −6.38149 | + | 7.14245i | −0.223397 | + | 0.250036i | ||||
\(817\) | −18.3410 | − | 4.91446i | −0.641671 | − | 0.171935i | ||||
\(818\) | −13.2320 | −0.462645 | ||||||||
\(819\) | 0.469575 | + | 28.6143i | 0.0164083 | + | 0.999865i | ||||
\(820\) | −11.1790 | −0.390386 | ||||||||
\(821\) | −24.7296 | − | 6.62629i | −0.863071 | − | 0.231259i | −0.199982 | − | 0.979800i | \(-0.564088\pi\) |
−0.663089 | + | 0.748541i | \(0.730755\pi\) | |||||||
\(822\) | −13.2825 | + | 14.8663i | −0.463280 | + | 0.518523i | ||||
\(823\) | −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 | ||||
\(825\) | −7.34032 | + | 4.80712i | −0.255557 | + | 0.167363i | ||||
\(826\) | 7.35274 | + | 0.344271i | 0.255835 | + | 0.0119787i | ||||
\(827\) | −28.4452 | − | 28.4452i | −0.989136 | − | 0.989136i | 0.0108057 | − | 0.999942i | \(-0.496560\pi\) |
−0.999942 | + | 0.0108057i | \(0.996560\pi\) | |||||||
\(828\) | −1.66102 | + | 0.187516i | −0.0577244 | + | 0.00651664i | ||||
\(829\) | 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 | ||||
\(831\) | −22.0927 | + | 7.27247i | −0.766388 | + | 0.252279i | ||||
\(832\) | −0.177392 | + | 3.60118i | −0.00614995 | + | 0.124849i | ||||
\(833\) | −22.4022 | + | 31.5679i | −0.776190 | + | 1.09376i | ||||
\(834\) | 11.1626 | − | 7.31031i | 0.386530 | − | 0.253135i | ||||
\(835\) | 32.3502 | + | 56.0322i | 1.11952 | + | 1.93907i | ||||
\(836\) | 4.96070 | − | 8.59219i | 0.171570 | − | 0.297167i | ||||
\(837\) | 30.6493 | + | 11.3609i | 1.05939 | + | 0.392692i | ||||
\(838\) | −0.415153 | + | 1.54937i | −0.0143412 | + | 0.0535222i | ||||
\(839\) | 3.48251 | + | 3.48251i | 0.120230 | + | 0.120230i | 0.764662 | − | 0.644432i | \(-0.222906\pi\) |
−0.644432 | + | 0.764662i | \(0.722906\pi\) | |||||||
\(840\) | −11.9410 | − | 3.07932i | −0.412004 | − | 0.106247i | ||||
\(841\) | 15.0109 | 0.517618 | ||||||||
\(842\) | −15.4763 | − | 26.8058i | −0.533349 | − | 0.923788i | ||||
\(843\) | 14.4268 | − | 0.811760i | 0.496886 | − | 0.0279585i | ||||
\(844\) | −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 | ||||||
\(849\) | −0.331059 | + | 0.108978i | −0.0113619 | + | 0.00374011i | ||||
\(850\) | 11.9725 | − | 3.20801i | 0.410652 | − | 0.110034i | ||||
\(851\) | 0.806861 | + | 3.01125i | 0.0276589 | + | 0.103224i | ||||
\(852\) | −12.2056 | + | 24.1844i | −0.418156 | + | 0.828544i | ||||
\(853\) | 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 | \(-0.643784\pi\) |
0.997417 | − | 0.0718275i | \(-0.0228831\pi\) | |||||||
\(858\) | 9.91033 | − | 10.0498i | 0.338333 | − | 0.343096i | ||||
\(859\) | −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 | ||||
\(861\) | 0.179331 | + | 19.0362i | 0.00611158 | + | 0.648751i | ||||
\(862\) | − | 16.0688i | − | 0.547305i | ||||||
\(863\) | −13.4299 | − | 3.59854i | −0.457160 | − | 0.122496i | 0.0228878 | − | 0.999738i | \(-0.492714\pi\) |
−0.480048 | + | 0.877242i | \(0.659381\pi\) | |||||||
\(864\) | −1.80601 | + | 4.87220i | −0.0614416 | + | 0.165756i | ||||
\(865\) | −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 | ||||
\(870\) | 5.45080 | + | 16.5587i | 0.184799 | + | 0.561394i | ||||
\(871\) | −46.1371 | + | 9.95828i | −1.56330 | + | 0.337423i | ||||
\(872\) | −2.67040 | − | 1.54176i | −0.0904311 | − | 0.0522104i | ||||
\(873\) | −5.26957 | + | 6.61077i | −0.178348 | + | 0.223741i | ||||
\(874\) | −2.44596 | −0.0827357 | ||||||||
\(875\) | −13.2229 | − | 14.5220i | −0.447017 | − | 0.490934i | ||||
\(876\) | 2.89013 | + | 4.41313i | 0.0976484 | + | 0.149106i | ||||
\(877\) | 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 | ||||
\(879\) | −28.7500 | + | 1.61769i | −0.969713 | + | 0.0545633i | ||||
\(880\) | 3.04095 | + | 5.26709i | 0.102511 | + | 0.177553i | ||||
\(881\) | −56.0741 | −1.88918 | −0.944592 | − | 0.328247i | \(-0.893542\pi\) | ||||
−0.944592 | + | 0.328247i | \(0.893542\pi\) | |||||||
\(882\) | −5.05209 | + | 20.3832i | −0.170113 | + | 0.686339i | ||||
\(883\) | 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 | ||||
\(885\) | −8.63965 | + | 9.66988i | −0.290419 | + | 0.325049i | ||||
\(886\) | 12.8078 | − | 3.43185i | 0.430288 | − | 0.115295i | ||||
\(887\) | 33.6123 | − | 19.4060i | 1.12859 | − | 0.651591i | 0.185010 | − | 0.982737i | \(-0.440768\pi\) |
0.943580 | + | 0.331145i | \(0.107435\pi\) | |||||||
\(888\) | 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 | ||||
\(891\) | 17.9796 | − | 9.51245i | 0.602338 | − | 0.318679i | ||||
\(892\) | −4.83206 | − | 18.0335i | −0.161789 | − | 0.603805i | ||||
\(893\) | 32.9600 | + | 19.0295i | 1.10296 | + | 0.636797i | ||||
\(894\) | 16.4127 | − | 5.40273i | 0.548923 | − | 0.180694i | ||||
\(895\) | 19.4816 | − | 19.4816i | 0.651198 | − | 0.651198i | ||||
\(896\) | −0.803549 | + | 2.52078i | −0.0268447 | + | 0.0842132i | ||||
\(897\) | −3.36729 | − | 0.877088i | −0.112431 | − | 0.0292851i | ||||
\(898\) | 7.90787 | + | 13.6968i | 0.263889 | + | 0.457069i | ||||
\(899\) | −6.08956 | − | 22.7265i | −0.203098 | − | 0.757973i | ||||
\(900\) | 5.40949 | − | 3.99420i | 0.180316 | − | 0.133140i | ||||
\(901\) | 51.0497 | − | 29.4736i | 1.70071 | − | 0.981907i | ||||
\(902\) | 6.63899 | − | 6.63899i | 0.221054 | − | 0.221054i | ||||
\(903\) | −14.1476 | − | 13.8835i | −0.470802 | − | 0.462014i | ||||
\(904\) | −0.361358 | + | 0.361358i | −0.0120186 | + | 0.0120186i | ||||
\(905\) | −2.98859 | + | 11.1536i | −0.0993441 | + | 0.370757i | ||||
\(906\) | 5.02516 | + | 4.48978i | 0.166950 | + | 0.149163i | ||||
\(907\) | −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 | \(-0.930106\pi\) | ||
0.975989 | − | 0.217818i | \(-0.0698940\pi\) | |||||||
\(912\) | −3.42576 | + | 6.78789i | −0.113438 | + | 0.224769i | ||||
\(913\) | −18.4057 | + | 31.8796i | −0.609139 | + | 1.05506i | ||||
\(914\) | −10.1679 | + | 17.6112i | −0.336323 | + | 0.582528i | ||||
\(915\) | 53.9851 | + | 27.2456i | 1.78469 | + | 0.900712i | ||||
\(916\) | 16.6107 | + | 16.6107i | 0.548833 | + | 0.548833i | ||||
\(917\) | 3.94747 | − | 2.03912i | 0.130357 | − | 0.0673378i | ||||
\(918\) | −28.3264 | + | 4.82233i | −0.934912 | + | 0.159161i | ||||
\(919\) | 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 | ||||
\(921\) | 0.432588 | + | 7.68807i | 0.0142543 | + | 0.253330i | ||||
\(922\) | −25.6661 | + | 14.8183i | −0.845269 | + | 0.488016i | ||||
\(923\) | −41.7888 | + | 37.8651i | −1.37549 | + | 1.24634i | ||||
\(924\) | 8.92031 | − | 5.26280i | 0.293457 | − | 0.173133i | ||||
\(925\) | −8.86769 | − | 8.86769i | −0.291568 | − | 0.291568i | ||||
\(926\) | −14.8964 | + | 8.60042i | −0.489525 | + | 0.282627i | ||||
\(927\) | −3.04501 | − | 4.12397i | −0.100011 | − | 0.135449i | ||||
\(928\) | 3.61275 | − | 0.968035i | 0.118594 | − | 0.0317773i | ||||
\(929\) | 0.397737 | + | 0.106573i | 0.0130493 | + | 0.00349656i | 0.265338 | − | 0.964156i | \(-0.414517\pi\) |
−0.252288 | + | 0.967652i | \(0.581183\pi\) | |||||||
\(930\) | −24.5284 | + | 16.0635i | −0.804318 | + | 0.526742i | ||||
\(931\) | −10.6918 | + | 28.8086i | −0.350410 | + | 0.944164i | ||||
\(932\) | − | 12.3567i | − | 0.404757i | ||||||
\(933\) | 12.6820 | + | 38.5260i | 0.415189 | + | 1.26128i | ||||
\(934\) | 5.11960 | + | 19.1066i | 0.167518 | + | 0.625187i | ||||
\(935\) | −16.8160 | + | 29.1262i | −0.549944 | + | 0.952530i | ||||
\(936\) | −7.15022 | + | 8.11630i | −0.233712 | + | 0.265290i | ||||
\(937\) | 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 | \(0.0105494\pi\) |
−0.848982 | + | 0.528422i | \(0.822784\pi\) | |||||||
\(942\) | 0.625052 | + | 11.1086i | 0.0203653 | + | 0.361937i | ||||
\(943\) | −2.23582 | − | 0.599085i | −0.0728082 | − | 0.0195089i | ||||
\(944\) | 1.96726 | + | 1.96726i | 0.0640287 | + | 0.0640287i | ||||
\(945\) | −22.2542 | − | 29.5530i | −0.723930 | − | 0.961360i | ||||
\(946\) | 9.77601i | 0.317846i | ||||||||
\(947\) | 3.32675 | − | 12.4156i | 0.108105 | − | 0.403452i | −0.890574 | − | 0.454838i | \(-0.849697\pi\) |
0.998679 | + | 0.0513858i | \(0.0163638\pi\) | |||||||
\(948\) | 8.04988 | + | 7.19224i | 0.261448 | + | 0.233593i | ||||
\(949\) | 2.31688 | + | 10.7342i | 0.0752090 | + | 0.348446i | ||||
\(950\) | 8.52122 | − | 4.91973i | 0.276465 | − | 0.159617i | ||||
\(951\) | −13.5957 | + | 8.90372i | −0.440870 | + | 0.288723i | ||||
\(952\) | −14.2937 | + | 3.12157i | −0.463263 | + | 0.101171i | ||||
\(953\) | −11.5069 | −0.372746 | −0.186373 | − | 0.982479i | \(-0.559673\pi\) | ||||
−0.186373 | + | 0.982479i | \(0.559673\pi\) | |||||||
\(954\) | 19.9334 | − | 25.0068i | 0.645367 | − | 0.809625i | ||||
\(955\) | 57.5571 | − | 15.4224i | 1.86250 | − | 0.499056i | ||||
\(956\) | −22.2463 | + | 5.96089i | −0.719498 | + | 0.192789i | ||||
\(957\) | −13.0711 | − | 6.59681i | −0.422528 | − | 0.213244i | ||||
\(958\) | 32.5005 | 1.05004 | ||||||||
\(959\) | −29.7511 | + | 6.49726i | −0.960713 | + | 0.209807i | ||||
\(960\) | −2.55355 | − | 3.89919i | −0.0824155 | − | 0.125846i | ||||
\(961\) | 7.42373 | − | 4.28609i | 0.239475 | − | 0.138261i | ||||
\(962\) | 16.9530 | + | 10.9338i | 0.546585 | + | 0.352521i | ||||
\(963\) | 9.59623 | + | 12.9965i | 0.309234 | + | 0.418808i | ||||
\(964\) | −6.85601 | + | 25.5870i | −0.220817 | + | 0.824101i | ||||
\(965\) | 38.9756i | 1.25467i | ||||||||
\(966\) | −2.22321 | − | 1.25579i | −0.0715305 | − | 0.0404045i | ||||
\(967\) | 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 | ||||
\(969\) | −41.9792 | + | 2.36206i | −1.34857 | + | 0.0758804i | ||||
\(970\) | −1.96269 | − | 7.32485i | −0.0630181 | − | 0.235187i | ||||
\(971\) | −38.6679 | + | 22.3249i | −1.24091 | + | 0.716440i | −0.969280 | − | 0.245961i | \(-0.920896\pi\) |
−0.271631 | + | 0.962401i | \(0.587563\pi\) | |||||||
\(972\) | −13.3475 | + | 8.05253i | −0.428122 | + | 0.258285i | ||||
\(973\) | 20.3600 | + | 0.953298i | 0.652711 | + | 0.0305613i | ||||
\(974\) | 22.0988 | 0.708090 | ||||||||
\(975\) | 13.4951 | − | 3.71729i | 0.432190 | − | 0.119048i | ||||
\(976\) | 6.48698 | − | 11.2358i | 0.207643 | − | 0.359648i | ||||
\(977\) | −7.27624 | − | 27.1553i | −0.232787 | − | 0.868775i | −0.979134 | − | 0.203217i | \(-0.934860\pi\) |
0.746346 | − | 0.665558i | \(-0.231806\pi\) | |||||||
\(978\) | −31.1672 | + | 10.2596i | −0.996618 | + | 0.328066i | ||||
\(979\) | − | 5.43301i | − | 0.173640i | ||||||
\(980\) | −12.0169 | − | 14.5060i | −0.383865 | − | 0.463378i | ||||
\(981\) | −3.38146 | − | 8.61034i | −0.107962 | − | 0.274907i | ||||
\(982\) | −10.1619 | − | 2.72287i | −0.324278 | − | 0.0868901i | ||||
\(983\) | 18.3130 | − | 4.90694i | 0.584093 | − | 0.156507i | 0.0453407 | − | 0.998972i | \(-0.485563\pi\) |
0.538752 | + | 0.842464i | \(0.318896\pi\) | |||||||
\(984\) | −4.79399 | + | 5.36565i | −0.152827 | + | 0.171051i | ||||
\(985\) | −21.4278 | + | 12.3714i | −0.682748 | + | 0.394185i | ||||
\(986\) | 14.6249 | + | 14.6249i | 0.465753 | + | 0.465753i | ||||
\(987\) | 20.1883 | + | 34.2187i | 0.642602 | + | 1.08919i | ||||
\(988\) | −11.7289 | + | 10.6277i | −0.373147 | + | 0.338111i | ||||
\(989\) | 2.08722 | − | 1.20506i | 0.0663697 | − | 0.0383186i | ||||
\(990\) | −2.71547 | + | 18.0425i | −0.0863034 | + | 0.573429i | ||||
\(991\) | −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 | ||||
\(993\) | −17.7364 | − | 27.0829i | −0.562848 | − | 0.859451i | ||||
\(994\) | −36.7650 | + | 18.9915i | −1.16612 | + | 0.602373i | ||||
\(995\) | 29.7889 | + | 29.7889i | 0.944371 | + | 0.944371i | ||||
\(996\) | 12.7106 | − | 25.1851i | 0.402751 | − | 0.798020i | ||||
\(997\) | −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 | ||||
\(999\) | 18.5555 | + | 22.3808i | 0.587070 | + | 0.708097i |
(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.515.14 | yes | 144 | |
3.2 | odd | 2 | inner | 546.2.bv.a.515.29 | yes | 144 | |
7.2 | even | 3 | inner | 546.2.bv.a.359.29 | yes | 144 | |
13.5 | odd | 4 | inner | 546.2.bv.a.473.14 | yes | 144 | |
21.2 | odd | 6 | inner | 546.2.bv.a.359.14 | yes | 144 | |
39.5 | even | 4 | inner | 546.2.bv.a.473.29 | yes | 144 | |
91.44 | odd | 12 | inner | 546.2.bv.a.317.29 | yes | 144 | |
273.44 | even | 12 | inner | 546.2.bv.a.317.14 | ✓ | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.bv.a.317.14 | ✓ | 144 | 273.44 | even | 12 | inner | |
546.2.bv.a.317.29 | yes | 144 | 91.44 | odd | 12 | inner | |
546.2.bv.a.359.14 | yes | 144 | 21.2 | odd | 6 | inner | |
546.2.bv.a.359.29 | yes | 144 | 7.2 | even | 3 | inner | |
546.2.bv.a.473.14 | yes | 144 | 13.5 | odd | 4 | inner | |
546.2.bv.a.473.29 | yes | 144 | 39.5 | even | 4 | inner | |
546.2.bv.a.515.14 | yes | 144 | 1.1 | even | 1 | trivial | |
546.2.bv.a.515.29 | yes | 144 | 3.2 | odd | 2 | inner |