Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [351,2,Mod(127,351)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(351, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("351.127");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 351 = 3^{3} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 351.l (of order \(6\), degree \(2\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.80274911095\) |
Analytic rank: | \(0\) |
Dimension: | \(22\) |
Relative dimension: | \(11\) over \(\Q(\zeta_{6})\) |
Twist minimal: | no (minimal twist has level 117) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 199.9 | ||
Character | \(\chi\) | \(=\) | 351.199 |
Dual form | 351.2.l.b.127.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/351\mathbb{Z}\right)^\times\).
\(n\) | \(28\) | \(326\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.40574i | 0.994007i | 0.867749 | + | 0.497003i | \(0.165566\pi\) | ||||
−0.867749 | + | 0.497003i | \(0.834434\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.0239006 | 0.0119503 | ||||||||
\(5\) | 2.61504 | + | 1.50979i | 1.16948 | + | 0.675199i | 0.953557 | − | 0.301211i | \(-0.0973910\pi\) |
0.215922 | + | 0.976411i | \(0.430724\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.76663 | − | 1.59731i | −1.04569 | − | 0.603728i | −0.124249 | − | 0.992251i | \(-0.539652\pi\) |
−0.921439 | + | 0.388523i | \(0.872985\pi\) | |||||||
\(8\) | 2.84507i | 1.00589i | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −2.12237 | + | 3.67605i | −0.671153 | + | 1.16247i | ||||
\(11\) | 0.793626i | 0.239287i | 0.992817 | + | 0.119644i | \(0.0381752\pi\) | ||||
−0.992817 | + | 0.119644i | \(0.961825\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.75322 | + | 3.15059i | 0.486255 | + | 0.873817i | ||||
\(14\) | 2.24541 | − | 3.88916i | 0.600110 | − | 1.03942i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −3.95163 | −0.987907 | ||||||||
\(17\) | 0.0957495 | + | 0.165843i | 0.0232227 | + | 0.0402228i | 0.877403 | − | 0.479754i | \(-0.159274\pi\) |
−0.854181 | + | 0.519977i | \(0.825941\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 6.28411 | − | 3.62813i | 1.44167 | − | 0.832350i | 0.443711 | − | 0.896170i | \(-0.353662\pi\) |
0.997961 | + | 0.0638195i | \(0.0203282\pi\) | |||||||
\(20\) | 0.0625010 | + | 0.0360850i | 0.0139756 | + | 0.00806884i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −1.11563 | −0.237853 | ||||||||
\(23\) | 1.27250 | + | 2.20404i | 0.265335 | + | 0.459574i | 0.967651 | − | 0.252291i | \(-0.0811841\pi\) |
−0.702316 | + | 0.711865i | \(0.747851\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 2.05894 | + | 3.56619i | 0.411788 | + | 0.713238i | ||||
\(26\) | −4.42891 | + | 2.46456i | −0.868580 | + | 0.483340i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −0.0661242 | − | 0.0381768i | −0.0124963 | − | 0.00721474i | ||||
\(29\) | −8.44883 | −1.56891 | −0.784454 | − | 0.620187i | \(-0.787057\pi\) | ||||
−0.784454 | + | 0.620187i | \(0.787057\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −6.22662 | − | 3.59494i | −1.11833 | − | 0.645670i | −0.177358 | − | 0.984146i | \(-0.556755\pi\) |
−0.940975 | + | 0.338476i | \(0.890089\pi\) | |||||||
\(32\) | 0.135195i | 0.0238993i | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −0.233132 | + | 0.134599i | −0.0399818 | + | 0.0230835i | ||||
\(35\) | −4.82322 | − | 8.35407i | −0.815273 | − | 1.41209i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 2.25703 | + | 1.30310i | 0.371054 | + | 0.214228i | 0.673919 | − | 0.738806i | \(-0.264610\pi\) |
−0.302865 | + | 0.953033i | \(0.597943\pi\) | |||||||
\(38\) | 5.10020 | + | 8.83381i | 0.827362 | + | 1.43303i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −4.29547 | + | 7.43997i | −0.679173 | + | 1.17636i | ||||
\(41\) | 0.784546 | − | 0.452958i | 0.122526 | − | 0.0707402i | −0.437485 | − | 0.899226i | \(-0.644131\pi\) |
0.560010 | + | 0.828486i | \(0.310797\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 1.98654 | − | 3.44080i | 0.302945 | − | 0.524716i | −0.673857 | − | 0.738862i | \(-0.735363\pi\) |
0.976802 | + | 0.214146i | \(0.0686968\pi\) | |||||||
\(44\) | 0.0189682i | 0.00285956i | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −3.09830 | + | 1.78880i | −0.456820 | + | 0.263745i | ||||
\(47\) | 6.60765 | − | 3.81493i | 0.963825 | − | 0.556465i | 0.0664769 | − | 0.997788i | \(-0.478824\pi\) |
0.897348 | + | 0.441323i | \(0.145491\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 1.60282 | + | 2.77617i | 0.228975 | + | 0.396596i | ||||
\(50\) | −5.01313 | + | 2.89433i | −0.708963 | + | 0.409320i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0.0419030 | + | 0.0753011i | 0.00581090 | + | 0.0104424i | ||||
\(53\) | −0.0692625 | −0.00951393 | −0.00475697 | − | 0.999989i | \(-0.501514\pi\) | ||||
−0.00475697 | + | 0.999989i | \(0.501514\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −1.19821 | + | 2.07536i | −0.161567 | + | 0.279841i | ||||
\(56\) | 4.54448 | − | 7.87126i | 0.607281 | − | 1.05184i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | − | 11.8768i | − | 1.55951i | ||||||
\(59\) | − | 13.5667i | − | 1.76623i | −0.469155 | − | 0.883116i | \(-0.655441\pi\) | ||
0.469155 | − | 0.883116i | \(-0.344559\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −0.0894284 | + | 0.154895i | −0.0114501 | + | 0.0198322i | −0.871694 | − | 0.490051i | \(-0.836978\pi\) |
0.860244 | + | 0.509883i | \(0.170311\pi\) | |||||||
\(62\) | 5.05354 | − | 8.75299i | 0.641800 | − | 1.11163i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −8.09330 | −1.01166 | ||||||||
\(65\) | −0.172015 | + | 10.8859i | −0.0213359 | + | 1.35023i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 9.17094 | − | 5.29484i | 1.12041 | − | 0.646868i | 0.178903 | − | 0.983867i | \(-0.442745\pi\) |
0.941505 | + | 0.336998i | \(0.109412\pi\) | |||||||
\(68\) | 0.00228847 | + | 0.00396375i | 0.000277518 | + | 0.000480675i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 11.7436 | − | 6.78019i | 1.40363 | − | 0.810387i | ||||
\(71\) | −0.271545 | + | 0.156777i | −0.0322265 | + | 0.0186060i | −0.516027 | − | 0.856572i | \(-0.672589\pi\) |
0.483800 | + | 0.875178i | \(0.339256\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | − | 6.55741i | − | 0.767487i | −0.923440 | − | 0.383743i | \(-0.874635\pi\) | ||
0.923440 | − | 0.383743i | \(-0.125365\pi\) | |||||||
\(74\) | −1.83181 | + | 3.17279i | −0.212944 | + | 0.368830i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0.150194 | − | 0.0867146i | 0.0172284 | − | 0.00994685i | ||||
\(77\) | 1.26767 | − | 2.19567i | 0.144464 | − | 0.250220i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −2.13465 | − | 3.69732i | −0.240167 | − | 0.415981i | 0.720595 | − | 0.693356i | \(-0.243869\pi\) |
−0.960762 | + | 0.277376i | \(0.910535\pi\) | |||||||
\(80\) | −10.3336 | − | 5.96613i | −1.15534 | − | 0.667034i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0.636740 | + | 1.10287i | 0.0703162 | + | 0.121791i | ||||
\(83\) | −7.01438 | + | 4.04975i | −0.769928 | + | 0.444518i | −0.832849 | − | 0.553500i | \(-0.813292\pi\) |
0.0629208 | + | 0.998019i | \(0.479958\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.578247i | 0.0627197i | ||||||||
\(86\) | 4.83686 | + | 2.79256i | 0.521572 | + | 0.301130i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −2.25792 | −0.240696 | ||||||||
\(89\) | 4.56933 | + | 2.63810i | 0.484348 | + | 0.279638i | 0.722226 | − | 0.691657i | \(-0.243119\pi\) |
−0.237879 | + | 0.971295i | \(0.576452\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.181987 | − | 11.5170i | 0.0190774 | − | 1.20731i | ||||
\(92\) | 0.0304136 | + | 0.0526779i | 0.00317084 | + | 0.00549205i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 5.36279 | + | 9.28863i | 0.553130 | + | 0.958049i | ||||
\(95\) | 21.9109 | 2.24801 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 15.2169 | + | 8.78548i | 1.54504 | + | 0.892030i | 0.998509 | + | 0.0545930i | \(0.0173861\pi\) |
0.546533 | + | 0.837437i | \(0.315947\pi\) | |||||||
\(98\) | −3.90257 | + | 2.25315i | −0.394219 | + | 0.227603i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0.0492100 | + | 0.0852342i | 0.00492100 | + | 0.00852342i | ||||
\(101\) | −1.49789 | −0.149045 | −0.0745227 | − | 0.997219i | \(-0.523743\pi\) | ||||
−0.0745227 | + | 0.997219i | \(0.523743\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 1.62024 | − | 2.80634i | 0.159647 | − | 0.276517i | −0.775094 | − | 0.631846i | \(-0.782298\pi\) |
0.934741 | + | 0.355329i | \(0.115631\pi\) | |||||||
\(104\) | −8.96367 | + | 4.98803i | −0.878960 | + | 0.489117i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | − | 0.0973649i | − | 0.00945692i | ||||||
\(107\) | 2.74177 | − | 4.74888i | 0.265057 | − | 0.459091i | −0.702522 | − | 0.711662i | \(-0.747943\pi\) |
0.967578 | + | 0.252571i | \(0.0812760\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | − | 2.75058i | − | 0.263458i | −0.991286 | − | 0.131729i | \(-0.957947\pi\) | ||
0.991286 | − | 0.131729i | \(-0.0420529\pi\) | |||||||
\(110\) | −2.91741 | − | 1.68437i | −0.278164 | − | 0.160598i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 10.9327 | + | 6.31199i | 1.03304 | + | 0.596427i | ||||
\(113\) | −16.5005 | −1.55223 | −0.776117 | − | 0.630589i | \(-0.782813\pi\) | ||||
−0.776117 | + | 0.630589i | \(0.782813\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 7.68485i | 0.716616i | ||||||||
\(116\) | −0.201932 | −0.0187490 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 19.0712 | 1.75565 | ||||||||
\(119\) | − | 0.611768i | − | 0.0560807i | ||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 10.3702 | 0.942742 | ||||||||
\(122\) | −0.217741 | − | 0.125713i | −0.0197134 | − | 0.0113815i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −0.148820 | − | 0.0859213i | −0.0133644 | − | 0.00771596i | ||||
\(125\) | − | 2.66363i | − | 0.238243i | ||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −7.71406 | + | 13.3611i | −0.684512 | + | 1.18561i | 0.289078 | + | 0.957305i | \(0.406651\pi\) |
−0.973590 | + | 0.228304i | \(0.926682\pi\) | |||||||
\(128\) | − | 11.1067i | − | 0.981701i | ||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −15.3027 | − | 0.241808i | −1.34214 | − | 0.0212080i | ||||
\(131\) | −3.53140 | + | 6.11657i | −0.308540 | + | 0.534407i | −0.978043 | − | 0.208402i | \(-0.933174\pi\) |
0.669503 | + | 0.742809i | \(0.266507\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −23.1811 | −2.01005 | ||||||||
\(134\) | 7.44316 | + | 12.8919i | 0.642992 | + | 1.11369i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −0.471835 | + | 0.272414i | −0.0404596 | + | 0.0233593i | ||||
\(137\) | 6.03791 | + | 3.48599i | 0.515854 | + | 0.297828i | 0.735237 | − | 0.677811i | \(-0.237071\pi\) |
−0.219383 | + | 0.975639i | \(0.570404\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −10.9052 | −0.924970 | −0.462485 | − | 0.886627i | \(-0.653042\pi\) | ||||
−0.462485 | + | 0.886627i | \(0.653042\pi\) | |||||||
\(140\) | −0.115278 | − | 0.199667i | −0.00974277 | − | 0.0168750i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −0.220387 | − | 0.381722i | −0.0184945 | − | 0.0320334i | ||||
\(143\) | −2.50039 | + | 1.39140i | −0.209093 | + | 0.116355i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −22.0940 | − | 12.7560i | −1.83481 | − | 1.05933i | ||||
\(146\) | 9.21800 | 0.762887 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0.0539445 | + | 0.0311448i | 0.00443421 | + | 0.00256009i | ||||
\(149\) | − | 14.6217i | − | 1.19785i | −0.800804 | − | 0.598927i | \(-0.795594\pi\) | ||
0.800804 | − | 0.598927i | \(-0.204406\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 0.912654 | − | 0.526921i | 0.0742707 | − | 0.0428802i | −0.462405 | − | 0.886669i | \(-0.653013\pi\) |
0.536675 | + | 0.843789i | \(0.319680\pi\) | |||||||
\(152\) | 10.3223 | + | 17.8787i | 0.837249 | + | 1.45016i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 3.08653 | + | 1.78201i | 0.248720 | + | 0.143599i | ||||
\(155\) | −10.8552 | − | 18.8018i | −0.871912 | − | 1.51020i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 5.59684 | − | 9.69401i | 0.446677 | − | 0.773667i | −0.551491 | − | 0.834181i | \(-0.685941\pi\) |
0.998167 | + | 0.0605145i | \(0.0192741\pi\) | |||||||
\(158\) | 5.19746 | − | 3.00075i | 0.413488 | − | 0.238727i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −0.204116 | + | 0.353540i | −0.0161368 | + | 0.0279498i | ||||
\(161\) | − | 8.13034i | − | 0.640761i | ||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −1.69044 | + | 0.975977i | −0.132406 | + | 0.0764444i | −0.564740 | − | 0.825269i | \(-0.691023\pi\) |
0.432334 | + | 0.901713i | \(0.357690\pi\) | |||||||
\(164\) | 0.0187512 | − | 0.0108260i | 0.00146422 | − | 0.000845367i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −5.69289 | − | 9.86038i | −0.441854 | − | 0.765314i | ||||
\(167\) | −17.2061 | + | 9.93395i | −1.33145 | + | 0.768712i | −0.985522 | − | 0.169549i | \(-0.945769\pi\) |
−0.345927 | + | 0.938261i | \(0.612435\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −6.85247 | + | 11.0473i | −0.527113 | + | 0.849795i | ||||
\(170\) | −0.812864 | −0.0623438 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0.0474797 | − | 0.0822372i | 0.00362029 | − | 0.00627053i | ||||
\(173\) | −1.68605 | + | 2.92032i | −0.128188 | + | 0.222028i | −0.922975 | − | 0.384861i | \(-0.874249\pi\) |
0.794787 | + | 0.606889i | \(0.207583\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | − | 13.1551i | − | 0.994432i | ||||||
\(176\) | − | 3.13611i | − | 0.236394i | ||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −3.70848 | + | 6.42327i | −0.277962 | + | 0.481445i | ||||
\(179\) | −6.46527 | + | 11.1982i | −0.483237 | + | 0.836990i | −0.999815 | − | 0.0192497i | \(-0.993872\pi\) |
0.516578 | + | 0.856240i | \(0.327206\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −11.3925 | −0.846798 | −0.423399 | − | 0.905943i | \(-0.639163\pi\) | ||||
−0.423399 | + | 0.905943i | \(0.639163\pi\) | |||||||
\(182\) | 16.1898 | + | 0.255826i | 1.20007 | + | 0.0189631i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −6.27065 | + | 3.62036i | −0.462279 | + | 0.266897i | ||||
\(185\) | 3.93481 | + | 6.81529i | 0.289293 | + | 0.501070i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −0.131617 | + | 0.0759893i | −0.00962481 | + | 0.00555688i | ||||
\(188\) | 0.157927 | − | 0.0911792i | 0.0115180 | − | 0.00664993i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 30.8010i | 2.23454i | ||||||||
\(191\) | 1.63433 | − | 2.83074i | 0.118256 | − | 0.204825i | −0.800821 | − | 0.598904i | \(-0.795603\pi\) |
0.919077 | + | 0.394079i | \(0.128936\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −16.5094 | + | 9.53170i | −1.18837 | + | 0.686107i | −0.957936 | − | 0.286981i | \(-0.907348\pi\) |
−0.230436 | + | 0.973088i | \(0.574015\pi\) | |||||||
\(194\) | −12.3501 | + | 21.3910i | −0.886684 | + | 1.53578i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0.0383085 | + | 0.0663523i | 0.00273632 | + | 0.00473945i | ||||
\(197\) | 2.13371 | + | 1.23190i | 0.152020 | + | 0.0877690i | 0.574081 | − | 0.818799i | \(-0.305360\pi\) |
−0.422060 | + | 0.906568i | \(0.638693\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 11.7617 | + | 20.3718i | 0.833764 | + | 1.44412i | 0.895033 | + | 0.446000i | \(0.147152\pi\) |
−0.0612690 | + | 0.998121i | \(0.519515\pi\) | |||||||
\(200\) | −10.1461 | + | 5.85784i | −0.717436 | + | 0.414212i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | − | 2.10564i | − | 0.148152i | ||||||
\(203\) | 23.3748 | + | 13.4954i | 1.64059 | + | 0.947194i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 2.73549 | 0.191055 | ||||||||
\(206\) | 3.94498 | + | 2.27763i | 0.274860 | + | 0.158690i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −6.92806 | − | 12.4500i | −0.480374 | − | 0.863250i | ||||
\(209\) | 2.87938 | + | 4.98723i | 0.199171 | + | 0.344974i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 0.722675 | + | 1.25171i | 0.0497510 | + | 0.0861713i | 0.889828 | − | 0.456295i | \(-0.150824\pi\) |
−0.840077 | + | 0.542466i | \(0.817491\pi\) | |||||||
\(212\) | −0.00165542 | −0.000113695 | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 6.67568 | + | 3.85421i | 0.456340 | + | 0.263468i | ||||
\(215\) | 10.3898 | − | 5.99854i | 0.708576 | − | 0.409097i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 11.4845 | + | 19.8917i | 0.779618 | + | 1.35034i | ||||
\(218\) | 3.86660 | 0.261879 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −0.0286380 | + | 0.0496024i | −0.00193077 | + | 0.00334419i | ||||
\(221\) | −0.354634 | + | 0.592426i | −0.0238553 | + | 0.0398509i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | − | 0.606377i | − | 0.0406060i | −0.999794 | − | 0.0203030i | \(-0.993537\pi\) | ||
0.999794 | − | 0.0203030i | \(-0.00646309\pi\) | |||||||
\(224\) | 0.215949 | − | 0.374035i | 0.0144287 | − | 0.0249912i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | − | 23.1953i | − | 1.54293i | ||||||
\(227\) | −19.9671 | − | 11.5280i | −1.32527 | − | 0.765143i | −0.340703 | − | 0.940171i | \(-0.610665\pi\) |
−0.984563 | + | 0.175028i | \(0.943998\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −3.97688 | − | 2.29605i | −0.262799 | − | 0.151727i | 0.362812 | − | 0.931863i | \(-0.381817\pi\) |
−0.625611 | + | 0.780135i | \(0.715150\pi\) | |||||||
\(230\) | −10.8029 | −0.712321 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | − | 24.0375i | − | 1.57814i | ||||||
\(233\) | 7.84289 | 0.513804 | 0.256902 | − | 0.966437i | \(-0.417298\pi\) | ||||
0.256902 | + | 0.966437i | \(0.417298\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 23.0390 | 1.50290 | ||||||||
\(236\) | − | 0.324252i | − | 0.0211070i | ||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0.859985 | 0.0557446 | ||||||||
\(239\) | −1.19864 | − | 0.692034i | −0.0775334 | − | 0.0447639i | 0.460732 | − | 0.887539i | \(-0.347587\pi\) |
−0.538266 | + | 0.842775i | \(0.680920\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 3.50441 | + | 2.02327i | 0.225739 | + | 0.130330i | 0.608605 | − | 0.793474i | \(-0.291730\pi\) |
−0.382866 | + | 0.923804i | \(0.625063\pi\) | |||||||
\(242\) | 14.5777i | 0.937092i | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −0.00213739 | + | 0.00370208i | −0.000136833 | + | 0.000237001i | ||||
\(245\) | 9.67972i | 0.618415i | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 22.4482 | + | 13.4378i | 1.42834 | + | 0.855024i | ||||
\(248\) | 10.2279 | − | 17.7152i | 0.649470 | − | 1.12492i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 3.74437 | 0.236815 | ||||||||
\(251\) | −3.43920 | − | 5.95686i | −0.217080 | − | 0.375994i | 0.736834 | − | 0.676074i | \(-0.236320\pi\) |
−0.953914 | + | 0.300080i | \(0.902987\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −1.74918 | + | 1.00989i | −0.109970 | + | 0.0634913i | ||||
\(254\) | −18.7823 | − | 10.8439i | −1.17850 | − | 0.680409i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.573533 | −0.0358458 | ||||||||
\(257\) | 3.76772 | + | 6.52588i | 0.235024 | + | 0.407073i | 0.959280 | − | 0.282458i | \(-0.0911498\pi\) |
−0.724256 | + | 0.689531i | \(0.757817\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −4.16291 | − | 7.21037i | −0.258671 | − | 0.448031i | ||||
\(260\) | −0.00411127 | + | 0.260180i | −0.000254970 | + | 0.0161357i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −8.59829 | − | 4.96422i | −0.531204 | − | 0.306691i | ||||
\(263\) | −4.51334 | −0.278304 | −0.139152 | − | 0.990271i | \(-0.544438\pi\) | ||||
−0.139152 | + | 0.990271i | \(0.544438\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −0.181124 | − | 0.104572i | −0.0111263 | − | 0.00642380i | ||||
\(266\) | − | 32.5865i | − | 1.99801i | ||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 0.219191 | − | 0.126550i | 0.0133892 | − | 0.00773028i | ||||
\(269\) | 7.59726 | + | 13.1588i | 0.463213 | + | 0.802309i | 0.999119 | − | 0.0419692i | \(-0.0133631\pi\) |
−0.535906 | + | 0.844278i | \(0.680030\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −19.0083 | − | 10.9744i | −1.15467 | − | 0.666650i | −0.204650 | − | 0.978835i | \(-0.565606\pi\) |
−0.950021 | + | 0.312185i | \(0.898939\pi\) | |||||||
\(272\) | −0.378366 | − | 0.655349i | −0.0229418 | − | 0.0397364i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −4.90039 | + | 8.48773i | −0.296043 | + | 0.512762i | ||||
\(275\) | −2.83022 | + | 1.63403i | −0.170669 | + | 0.0985356i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −3.02043 | + | 5.23154i | −0.181480 | + | 0.314333i | −0.942385 | − | 0.334531i | \(-0.891422\pi\) |
0.760905 | + | 0.648864i | \(0.224756\pi\) | |||||||
\(278\) | − | 15.3299i | − | 0.919427i | ||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 23.7679 | − | 13.7224i | 1.42041 | − | 0.820072i | ||||
\(281\) | 6.56065 | − | 3.78780i | 0.391376 | − | 0.225961i | −0.291380 | − | 0.956607i | \(-0.594114\pi\) |
0.682756 | + | 0.730646i | \(0.260781\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 14.0371 | + | 24.3129i | 0.834416 | + | 1.44525i | 0.894505 | + | 0.447058i | \(0.147528\pi\) |
−0.0600886 | + | 0.998193i | \(0.519138\pi\) | |||||||
\(284\) | −0.00649011 | + | 0.00374707i | −0.000385117 | + | 0.000222347i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −1.95594 | − | 3.51490i | −0.115657 | − | 0.207840i | ||||
\(287\) | −2.89406 | −0.170831 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 8.48166 | − | 14.6907i | 0.498921 | − | 0.864157i | ||||
\(290\) | 17.9316 | − | 31.0584i | 1.05298 | − | 1.82381i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | − | 0.156726i | − | 0.00917171i | ||||||
\(293\) | 22.9365i | 1.33996i | 0.742377 | + | 0.669982i | \(0.233698\pi\) | ||||
−0.742377 | + | 0.669982i | \(0.766302\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 20.4829 | − | 35.4774i | 1.19256 | − | 2.06557i | ||||
\(296\) | −3.70741 | + | 6.42142i | −0.215489 | + | 0.373237i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 20.5542 | 1.19068 | ||||||||
\(299\) | −4.71306 | + | 7.87329i | −0.272563 | + | 0.455324i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −10.9921 | + | 6.34627i | −0.633572 | + | 0.365793i | ||||
\(302\) | 0.740713 | + | 1.28295i | 0.0426232 | + | 0.0738256i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −24.8324 | + | 14.3370i | −1.42424 | + | 0.822285i | ||||
\(305\) | −0.467717 | + | 0.270036i | −0.0267814 | + | 0.0154622i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 3.31351i | 0.189112i | 0.995520 | + | 0.0945560i | \(0.0301431\pi\) | ||||
−0.995520 | + | 0.0945560i | \(0.969857\pi\) | |||||||
\(308\) | 0.0302981 | − | 0.0524779i | 0.00172640 | − | 0.00299020i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 26.4304 | − | 15.2596i | 1.50114 | − | 0.866686i | ||||
\(311\) | −12.6695 | + | 21.9442i | −0.718421 | + | 1.24434i | 0.243204 | + | 0.969975i | \(0.421802\pi\) |
−0.961625 | + | 0.274367i | \(0.911532\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −8.71624 | − | 15.0970i | −0.492671 | − | 0.853331i | 0.507294 | − | 0.861773i | \(-0.330646\pi\) |
−0.999964 | + | 0.00844245i | \(0.997313\pi\) | |||||||
\(314\) | 13.6272 | + | 7.86769i | 0.769030 | + | 0.444000i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −0.0510194 | − | 0.0883682i | −0.00287007 | − | 0.00497110i | ||||
\(317\) | 11.2999 | − | 6.52400i | 0.634666 | − | 0.366425i | −0.147891 | − | 0.989004i | \(-0.547248\pi\) |
0.782557 | + | 0.622579i | \(0.213915\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | − | 6.70521i | − | 0.375420i | ||||||
\(320\) | −21.1643 | − | 12.2192i | −1.18312 | − | 0.683074i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 11.4291 | 0.636921 | ||||||||
\(323\) | 1.20340 | + | 0.694783i | 0.0669589 | + | 0.0386588i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −7.62584 | + | 12.7392i | −0.423006 | + | 0.706643i | ||||
\(326\) | −1.37197 | − | 2.37632i | −0.0759862 | − | 0.131612i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 1.28870 | + | 2.23209i | 0.0711565 | + | 0.123247i | ||||
\(329\) | −24.3746 | −1.34381 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −4.11896 | − | 2.37808i | −0.226399 | − | 0.130711i | 0.382511 | − | 0.923951i | \(-0.375059\pi\) |
−0.608910 | + | 0.793240i | \(0.708393\pi\) | |||||||
\(332\) | −0.167648 | + | 0.0967917i | −0.00920088 | + | 0.00531213i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −13.9645 | − | 24.1873i | −0.764105 | − | 1.32347i | ||||
\(335\) | 31.9764 | 1.74706 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −12.7677 | + | 22.1143i | −0.695500 | + | 1.20464i | 0.274512 | + | 0.961584i | \(0.411484\pi\) |
−0.970012 | + | 0.243057i | \(0.921850\pi\) | |||||||
\(338\) | −15.5297 | − | 9.63277i | −0.844702 | − | 0.523954i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0.0138205i | 0.000749520i | ||||||||
\(341\) | 2.85304 | − | 4.94160i | 0.154501 | − | 0.267603i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 12.1215i | 0.654502i | ||||||||
\(344\) | 9.78932 | + | 5.65187i | 0.527805 | + | 0.304728i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −4.10521 | − | 2.37014i | −0.220697 | − | 0.127420i | ||||
\(347\) | −5.42745 | −0.291361 | −0.145680 | − | 0.989332i | \(-0.546537\pi\) | ||||
−0.145680 | + | 0.989332i | \(0.546537\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 26.3967i | 1.41299i | 0.707720 | + | 0.706493i | \(0.249724\pi\) | ||||
−0.707720 | + | 0.706493i | \(0.750276\pi\) | |||||||
\(350\) | 18.4926 | 0.988472 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −0.107294 | −0.00571881 | ||||||||
\(353\) | 29.8820i | 1.59046i | 0.606308 | + | 0.795230i | \(0.292650\pi\) | ||||
−0.606308 | + | 0.795230i | \(0.707350\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −0.946801 | −0.0502510 | ||||||||
\(356\) | 0.109210 | + | 0.0630523i | 0.00578811 | + | 0.00334176i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −15.7417 | − | 9.08847i | −0.831974 | − | 0.480341i | ||||
\(359\) | − | 27.5815i | − | 1.45570i | −0.685738 | − | 0.727849i | \(-0.740520\pi\) | ||
0.685738 | − | 0.727849i | \(-0.259480\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 16.8267 | − | 29.1446i | 0.885614 | − | 1.53393i | ||||
\(362\) | − | 16.0149i | − | 0.841723i | ||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0.00434960 | − | 0.275263i | 0.000227981 | − | 0.0144277i | ||||
\(365\) | 9.90032 | − | 17.1479i | 0.518207 | − | 0.897560i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 21.4395 | 1.11913 | 0.559565 | − | 0.828786i | \(-0.310968\pi\) | ||||
0.559565 | + | 0.828786i | \(0.310968\pi\) | |||||||
\(368\) | −5.02845 | − | 8.70954i | −0.262126 | − | 0.454016i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −9.58051 | + | 5.53131i | −0.498067 | + | 0.287559i | ||||
\(371\) | 0.191624 | + | 0.110634i | 0.00994860 | + | 0.00574383i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −24.8449 | −1.28642 | −0.643211 | − | 0.765689i | \(-0.722398\pi\) | ||||
−0.643211 | + | 0.765689i | \(0.722398\pi\) | |||||||
\(374\) | −0.106821 | − | 0.185019i | −0.00552358 | − | 0.00956712i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 10.8538 | + | 18.7993i | 0.559740 | + | 0.969498i | ||||
\(377\) | −14.8126 | − | 26.6188i | −0.762889 | − | 1.37094i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −0.763882 | − | 0.441027i | −0.0392380 | − | 0.0226540i | 0.480253 | − | 0.877130i | \(-0.340545\pi\) |
−0.519491 | + | 0.854476i | \(0.673878\pi\) | |||||||
\(380\) | 0.523684 | 0.0268644 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 3.97928 | + | 2.29744i | 0.203598 | + | 0.117547i | ||||
\(383\) | 2.86984i | 0.146642i | 0.997308 | + | 0.0733210i | \(0.0233598\pi\) | ||||
−0.997308 | + | 0.0733210i | \(0.976640\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 6.63000 | − | 3.82783i | 0.337896 | − | 0.195084i | ||||
\(386\) | −13.3991 | − | 23.2079i | −0.681995 | − | 1.18125i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 0.363693 | + | 0.209979i | 0.0184637 | + | 0.0106600i | ||||
\(389\) | −6.00741 | − | 10.4051i | −0.304588 | − | 0.527561i | 0.672582 | − | 0.740023i | \(-0.265185\pi\) |
−0.977169 | + | 0.212462i | \(0.931852\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −0.243683 | + | 0.422071i | −0.0123236 | + | 0.0213450i | ||||
\(392\) | −7.89842 | + | 4.56015i | −0.398930 | + | 0.230323i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −1.73172 | + | 2.99943i | −0.0872430 | + | 0.151109i | ||||
\(395\) | − | 12.8915i | − | 0.648641i | ||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 7.80521 | − | 4.50634i | 0.391732 | − | 0.226167i | −0.291178 | − | 0.956669i | \(-0.594047\pi\) |
0.682910 | + | 0.730502i | \(0.260714\pi\) | |||||||
\(398\) | −28.6375 | + | 16.5339i | −1.43547 | + | 0.828767i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −8.13616 | − | 14.0922i | −0.406808 | − | 0.704612i | ||||
\(401\) | 28.7872 | − | 16.6203i | 1.43757 | − | 0.829979i | 0.439885 | − | 0.898054i | \(-0.355019\pi\) |
0.997680 | + | 0.0680755i | \(0.0216859\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 0.409582 | − | 25.9202i | 0.0204028 | − | 1.29118i | ||||
\(404\) | −0.0358004 | −0.00178114 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −18.9710 | + | 32.8588i | −0.941517 | + | 1.63076i | ||||
\(407\) | −1.03417 | + | 1.79124i | −0.0512620 | + | 0.0887884i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | − | 33.9084i | − | 1.67666i | −0.545161 | − | 0.838332i | \(-0.683531\pi\) | ||
0.545161 | − | 0.838332i | \(-0.316469\pi\) | |||||||
\(410\) | 3.84538i | 0.189910i | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 0.0387248 | − | 0.0670733i | 0.00190783 | − | 0.00330446i | ||||
\(413\) | −21.6703 | + | 37.5340i | −1.06632 | + | 1.84693i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −24.4571 | −1.20055 | ||||||||
\(416\) | −0.425945 | + | 0.237026i | −0.0208837 | + | 0.0116212i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −7.01074 | + | 4.04765i | −0.342906 | + | 0.197977i | ||||
\(419\) | 12.6895 | + | 21.9788i | 0.619921 | + | 1.07374i | 0.989500 | + | 0.144536i | \(0.0461689\pi\) |
−0.369578 | + | 0.929200i | \(0.620498\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 10.2213 | − | 5.90124i | 0.498153 | − | 0.287609i | −0.229797 | − | 0.973239i | \(-0.573806\pi\) |
0.727951 | + | 0.685630i | \(0.240473\pi\) | |||||||
\(422\) | −1.75958 | + | 1.01589i | −0.0856549 | + | 0.0494529i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | − | 0.197057i | − | 0.00956993i | ||||||
\(425\) | −0.394285 | + | 0.682921i | −0.0191256 | + | 0.0331265i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0.494830 | − | 0.285690i | 0.0239465 | − | 0.0138255i | ||||
\(428\) | 0.0655299 | − | 0.113501i | 0.00316751 | − | 0.00548629i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 8.43237 | + | 14.6053i | 0.406645 | + | 0.704330i | ||||
\(431\) | −9.96641 | − | 5.75411i | −0.480065 | − | 0.277166i | 0.240379 | − | 0.970679i | \(-0.422728\pi\) |
−0.720444 | + | 0.693514i | \(0.756062\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 7.00567 | + | 12.1342i | 0.336671 | + | 0.583131i | 0.983804 | − | 0.179246i | \(-0.0573657\pi\) |
−0.647133 | + | 0.762377i | \(0.724032\pi\) | |||||||
\(434\) | −27.9626 | + | 16.1442i | −1.34225 | + | 0.774946i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | − | 0.0657407i | − | 0.00314841i | ||||||
\(437\) | 15.9931 | + | 9.23361i | 0.765053 | + | 0.441703i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −34.0798 | −1.62654 | −0.813271 | − | 0.581885i | \(-0.802315\pi\) | ||||
−0.813271 | + | 0.581885i | \(0.802315\pi\) | |||||||
\(440\) | −5.90455 | − | 3.40900i | −0.281489 | − | 0.162517i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −0.832796 | − | 0.498522i | −0.0396121 | − | 0.0237123i | ||||
\(443\) | −16.3341 | − | 28.2916i | −0.776058 | − | 1.34417i | −0.934198 | − | 0.356756i | \(-0.883883\pi\) |
0.158139 | − | 0.987417i | \(-0.449451\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 7.96597 | + | 13.7975i | 0.377623 | + | 0.654062i | ||||
\(446\) | 0.852407 | 0.0403626 | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 22.3912 | + | 12.9275i | 1.05788 | + | 0.610769i | ||||
\(449\) | −7.66848 | + | 4.42740i | −0.361898 | + | 0.208942i | −0.669913 | − | 0.742440i | \(-0.733669\pi\) |
0.308015 | + | 0.951381i | \(0.400335\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0.359479 | + | 0.622636i | 0.0169272 | + | 0.0293188i | ||||
\(452\) | −0.394372 | −0.0185497 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 16.2054 | − | 28.0686i | 0.760557 | − | 1.31732i | ||||
\(455\) | 17.8641 | − | 29.8425i | 0.837482 | − | 1.39904i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 15.2196i | 0.711945i | 0.934496 | + | 0.355973i | \(0.115850\pi\) | ||||
−0.934496 | + | 0.355973i | \(0.884150\pi\) | |||||||
\(458\) | 3.22764 | − | 5.59044i | 0.150818 | − | 0.261224i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0.183673i | 0.00856379i | ||||||||
\(461\) | 30.1473 | + | 17.4056i | 1.40410 | + | 0.810658i | 0.994810 | − | 0.101745i | \(-0.0324427\pi\) |
0.409291 | + | 0.912404i | \(0.365776\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −23.7329 | − | 13.7022i | −1.10296 | − | 0.636795i | −0.165963 | − | 0.986132i | \(-0.553073\pi\) |
−0.936997 | + | 0.349337i | \(0.886407\pi\) | |||||||
\(464\) | 33.3866 | 1.54994 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 11.0250i | 0.510725i | ||||||||
\(467\) | 9.34092 | 0.432246 | 0.216123 | − | 0.976366i | \(-0.430659\pi\) | ||||
0.216123 | + | 0.976366i | \(0.430659\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −33.8301 | −1.56213 | ||||||||
\(470\) | 32.3868i | 1.49389i | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 38.5982 | 1.77663 | ||||||||
\(473\) | 2.73070 | + | 1.57657i | 0.125558 | + | 0.0724909i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 25.8772 | + | 14.9402i | 1.18733 | + | 0.685504i | ||||
\(476\) | − | 0.0146216i | − | 0.000670182i | ||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 0.972818 | − | 1.68497i | 0.0444957 | − | 0.0770687i | ||||
\(479\) | 11.0368i | 0.504285i | 0.967690 | + | 0.252142i | \(0.0811351\pi\) | ||||
−0.967690 | + | 0.252142i | \(0.918865\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −0.148466 | + | 9.39559i | −0.00676946 | + | 0.428402i | ||||
\(482\) | −2.84419 | + | 4.92628i | −0.129549 | + | 0.224386i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0.247853 | 0.0112661 | ||||||||
\(485\) | 26.5285 | + | 45.9487i | 1.20460 | + | 2.08642i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 9.99524 | − | 5.77075i | 0.452928 | − | 0.261498i | −0.256138 | − | 0.966640i | \(-0.582450\pi\) |
0.709066 | + | 0.705142i | \(0.249117\pi\) | |||||||
\(488\) | −0.440686 | − | 0.254430i | −0.0199489 | − | 0.0115175i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −13.6071 | −0.614708 | ||||||||
\(491\) | −10.6222 | − | 18.3982i | −0.479373 | − | 0.830299i | 0.520347 | − | 0.853955i | \(-0.325803\pi\) |
−0.999720 | + | 0.0236560i | \(0.992469\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −0.808971 | − | 1.40118i | −0.0364342 | − | 0.0631059i | ||||
\(494\) | −18.8900 | + | 31.5562i | −0.849900 | + | 1.41978i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 24.6053 | + | 14.2059i | 1.10481 | + | 0.637862i | ||||
\(497\) | 1.00169 | 0.0449318 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 11.3888 | + | 6.57531i | 0.509832 | + | 0.294351i | 0.732764 | − | 0.680482i | \(-0.238230\pi\) |
−0.222933 | + | 0.974834i | \(0.571563\pi\) | |||||||
\(500\) | − | 0.0636625i | − | 0.00284707i | ||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 8.37379 | − | 4.83461i | 0.373740 | − | 0.215779i | ||||
\(503\) | 3.54282 | + | 6.13635i | 0.157967 | + | 0.273606i | 0.934135 | − | 0.356919i | \(-0.116173\pi\) |
−0.776169 | + | 0.630525i | \(0.782839\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −3.91703 | − | 2.26150i | −0.174305 | − | 0.100635i | ||||
\(506\) | −1.41964 | − | 2.45889i | −0.0631108 | − | 0.109311i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −0.184371 | + | 0.319340i | −0.00818013 | + | 0.0141684i | ||||
\(509\) | −7.50837 | + | 4.33496i | −0.332803 | + | 0.192144i | −0.657085 | − | 0.753817i | \(-0.728211\pi\) |
0.324282 | + | 0.945960i | \(0.394877\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −10.4742 | + | 18.1419i | −0.463353 | + | 0.802551i | ||||
\(512\) | − | 23.0196i | − | 1.01733i | ||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −9.17368 | + | 5.29643i | −0.404634 | + | 0.233615i | ||||
\(515\) | 8.47398 | − | 4.89245i | 0.373408 | − | 0.215587i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 3.02763 | + | 5.24400i | 0.133155 | + | 0.230631i | ||||
\(518\) | 10.1359 | − | 5.85196i | 0.445346 | − | 0.257120i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −30.9712 | − | 0.489396i | −1.35818 | − | 0.0214614i | ||||
\(521\) | −27.2897 | −1.19558 | −0.597792 | − | 0.801651i | \(-0.703955\pi\) | ||||
−0.597792 | + | 0.801651i | \(0.703955\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 2.33445 | − | 4.04338i | 0.102078 | − | 0.176805i | −0.810463 | − | 0.585790i | \(-0.800784\pi\) |
0.912541 | + | 0.408986i | \(0.134117\pi\) | |||||||
\(524\) | −0.0844027 | + | 0.146190i | −0.00368715 | + | 0.00638633i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | − | 6.34457i | − | 0.276636i | ||||||
\(527\) | − | 1.37685i | − | 0.0599767i | ||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 8.26148 | − | 14.3093i | 0.359195 | − | 0.622143i | ||||
\(530\) | 0.147001 | − | 0.254613i | 0.00638530 | − | 0.0110597i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −0.554042 | −0.0240208 | ||||||||
\(533\) | 2.80257 | + | 1.67765i | 0.121393 | + | 0.0726672i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 14.3396 | − | 8.27899i | 0.619956 | − | 0.357932i | ||||
\(536\) | 15.0642 | + | 26.0920i | 0.650675 | + | 1.12700i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −18.4979 | + | 10.6798i | −0.797500 | + | 0.460437i | ||||
\(539\) | −2.20324 | + | 1.27204i | −0.0949004 | + | 0.0547908i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 39.9796i | 1.71886i | 0.511255 | + | 0.859429i | \(0.329181\pi\) | ||||
−0.511255 | + | 0.859429i | \(0.670819\pi\) | |||||||
\(542\) | 15.4272 | − | 26.7207i | 0.662655 | − | 1.14775i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −0.0224212 | + | 0.0129449i | −0.000961299 | + | 0.000555006i | ||||
\(545\) | 4.15281 | − | 7.19287i | 0.177887 | − | 0.308109i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 5.31092 | + | 9.19878i | 0.227078 | + | 0.393311i | 0.956941 | − | 0.290283i | \(-0.0937493\pi\) |
−0.729863 | + | 0.683594i | \(0.760416\pi\) | |||||||
\(548\) | 0.144310 | + | 0.0833174i | 0.00616462 | + | 0.00355914i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −2.29702 | − | 3.97855i | −0.0979451 | − | 0.169646i | ||||
\(551\) | −53.0934 | + | 30.6535i | −2.26185 | + | 1.30588i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 13.6388i | 0.579981i | ||||||||
\(554\) | −7.35418 | − | 4.24594i | −0.312449 | − | 0.180393i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −0.260642 | −0.0110537 | ||||||||
\(557\) | 27.4337 | + | 15.8389i | 1.16240 | + | 0.671114i | 0.951879 | − | 0.306474i | \(-0.0991493\pi\) |
0.210525 | + | 0.977588i | \(0.432483\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 14.3234 | + | 0.226333i | 0.605815 | + | 0.00957287i | ||||
\(560\) | 19.0596 | + | 33.0122i | 0.805414 | + | 1.39502i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 5.32465 | + | 9.22256i | 0.224607 | + | 0.389030i | ||||
\(563\) | −21.2806 | −0.896871 | −0.448435 | − | 0.893815i | \(-0.648019\pi\) | ||||
−0.448435 | + | 0.893815i | \(0.648019\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −43.1493 | − | 24.9123i | −1.81530 | − | 1.04807i | ||||
\(566\) | −34.1776 | + | 19.7324i | −1.43659 | + | 0.829415i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −0.446042 | − | 0.772567i | −0.0187155 | − | 0.0324162i | ||||
\(569\) | 3.80515 | 0.159520 | 0.0797601 | − | 0.996814i | \(-0.474585\pi\) | ||||
0.0797601 | + | 0.996814i | \(0.474585\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 16.1472 | − | 27.9678i | 0.675740 | − | 1.17042i | −0.300512 | − | 0.953778i | \(-0.597157\pi\) |
0.976252 | − | 0.216638i | \(-0.0695092\pi\) | |||||||
\(572\) | −0.0597609 | + | 0.0332553i | −0.00249873 | + | 0.00139047i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | − | 4.06830i | − | 0.169807i | ||||||
\(575\) | −5.24001 | + | 9.07597i | −0.218524 | + | 0.378494i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 5.48831i | 0.228481i | 0.993453 | + | 0.114241i | \(0.0364435\pi\) | ||||
−0.993453 | + | 0.114241i | \(0.963557\pi\) | |||||||
\(578\) | 20.6512 | + | 11.9230i | 0.858978 | + | 0.495931i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −0.528060 | − | 0.304876i | −0.0219265 | − | 0.0126593i | ||||
\(581\) | 25.8749 | 1.07347 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | − | 0.0549685i | − | 0.00227656i | ||||||
\(584\) | 18.6563 | 0.772004 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −32.2427 | −1.33193 | ||||||||
\(587\) | − | 19.2704i | − | 0.795373i | −0.917521 | − | 0.397687i | \(-0.869813\pi\) | ||
0.917521 | − | 0.397687i | \(-0.130187\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −52.1716 | −2.14969 | ||||||||
\(590\) | 49.8719 | + | 28.7935i | 2.05319 | + | 1.18541i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −8.91894 | − | 5.14935i | −0.366566 | − | 0.211637i | ||||
\(593\) | − | 17.9934i | − | 0.738902i | −0.929250 | − | 0.369451i | \(-0.879546\pi\) | ||
0.929250 | − | 0.369451i | \(-0.120454\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0.923642 | − | 1.59979i | 0.0378656 | − | 0.0655852i | ||||
\(596\) | − | 0.349467i | − | 0.0143147i | ||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −11.0678 | − | 6.62532i | −0.452595 | − | 0.270930i | ||||
\(599\) | 1.96620 | − | 3.40556i | 0.0803367 | − | 0.139147i | −0.823058 | − | 0.567958i | \(-0.807734\pi\) |
0.903395 | + | 0.428810i | \(0.141067\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 24.4924 | 0.999066 | 0.499533 | − | 0.866295i | \(-0.333505\pi\) | ||||
0.499533 | + | 0.866295i | \(0.333505\pi\) | |||||||
\(602\) | −8.92119 | − | 15.4520i | −0.363601 | − | 0.629775i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 0.0218130 | − | 0.0125937i | 0.000887559 | − | 0.000512432i | ||||
\(605\) | 27.1183 | + | 15.6568i | 1.10252 | + | 0.636538i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 13.4499 | 0.545913 | 0.272956 | − | 0.962026i | \(-0.411999\pi\) | ||||
0.272956 | + | 0.962026i | \(0.411999\pi\) | |||||||
\(608\) | 0.490506 | + | 0.849580i | 0.0198926 | + | 0.0344550i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −0.379600 | − | 0.657487i | −0.0153696 | − | 0.0266209i | ||||
\(611\) | 23.6039 | + | 14.1296i | 0.954913 | + | 0.571623i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 20.2969 | + | 11.7184i | 0.819784 | + | 0.473303i | 0.850342 | − | 0.526230i | \(-0.176395\pi\) |
−0.0305579 | + | 0.999533i | \(0.509728\pi\) | |||||||
\(614\) | −4.65792 | −0.187979 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 6.24684 | + | 3.60661i | 0.251692 | + | 0.145315i | ||||
\(617\) | − | 23.2318i | − | 0.935278i | −0.883920 | − | 0.467639i | \(-0.845105\pi\) | ||
0.883920 | − | 0.467639i | \(-0.154895\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −1.01355 | + | 0.585173i | −0.0407380 | + | 0.0235201i | −0.520231 | − | 0.854026i | \(-0.674154\pi\) |
0.479493 | + | 0.877546i | \(0.340821\pi\) | |||||||
\(620\) | −0.259446 | − | 0.449374i | −0.0104196 | − | 0.0180473i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −30.8478 | − | 17.8100i | −1.23688 | − | 0.714116i | ||||
\(623\) | −8.42775 | − | 14.5973i | −0.337651 | − | 0.584828i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 14.3162 | − | 24.7964i | 0.572649 | − | 0.991858i | ||||
\(626\) | 21.2224 | − | 12.2527i | 0.848217 | − | 0.489718i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 0.133768 | − | 0.231693i | 0.00533793 | − | 0.00924556i | ||||
\(629\) | 0.499083i | 0.0198998i | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −4.36496 | + | 2.52011i | −0.173766 | + | 0.100324i | −0.584361 | − | 0.811494i | \(-0.698655\pi\) |
0.410594 | + | 0.911818i | \(0.365321\pi\) | |||||||
\(632\) | 10.5191 | − | 6.07323i | 0.418429 | − | 0.241580i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 9.17104 | + | 15.8847i | 0.364229 | + | 0.630862i | ||||
\(635\) | −40.3451 | + | 23.2932i | −1.60104 | + | 0.924364i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −5.93649 | + | 9.91708i | −0.235212 | + | 0.392929i | ||||
\(638\) | 9.42577 | 0.373170 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 16.7688 | − | 29.0443i | 0.662844 | − | 1.14808i | ||||
\(641\) | −17.3411 | + | 30.0357i | −0.684934 | + | 1.18634i | 0.288524 | + | 0.957473i | \(0.406836\pi\) |
−0.973458 | + | 0.228868i | \(0.926498\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 38.5994i | 1.52221i | 0.648627 | + | 0.761106i | \(0.275343\pi\) | ||||
−0.648627 | + | 0.761106i | \(0.724657\pi\) | |||||||
\(644\) | − | 0.194320i | − | 0.00765729i | ||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −0.976683 | + | 1.69166i | −0.0384271 | + | 0.0665577i | ||||
\(647\) | 18.4314 | − | 31.9241i | 0.724612 | − | 1.25507i | −0.234521 | − | 0.972111i | \(-0.575352\pi\) |
0.959133 | − | 0.282954i | \(-0.0913145\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 10.7669 | 0.422637 | ||||||||
\(650\) | −17.9080 | − | 10.7199i | −0.702408 | − | 0.420470i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −0.0404026 | + | 0.0233265i | −0.00158229 | + | 0.000913534i | ||||
\(653\) | −16.3210 | − | 28.2688i | −0.638690 | − | 1.10624i | −0.985721 | − | 0.168389i | \(-0.946143\pi\) |
0.347031 | − | 0.937854i | \(-0.387190\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −18.4695 | + | 10.6634i | −0.721662 | + | 0.416652i | ||||
\(656\) | −3.10024 | + | 1.78992i | −0.121044 | + | 0.0698847i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | − | 34.2642i | − | 1.33576i | ||||||
\(659\) | 4.43305 | − | 7.67828i | 0.172687 | − | 0.299103i | −0.766671 | − | 0.642040i | \(-0.778088\pi\) |
0.939358 | + | 0.342937i | \(0.111422\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 16.6210 | − | 9.59611i | 0.646480 | − | 0.373245i | −0.140626 | − | 0.990063i | \(-0.544912\pi\) |
0.787106 | + | 0.616817i | \(0.211578\pi\) | |||||||
\(662\) | 3.34296 | − | 5.79018i | 0.129928 | − | 0.225042i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −11.5219 | − | 19.9564i | −0.447135 | − | 0.774460i | ||||
\(665\) | −60.6193 | − | 34.9986i | −2.35071 | − | 1.35719i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −10.7512 | − | 18.6215i | −0.416286 | − | 0.721029i | ||||
\(668\) | −0.411237 | + | 0.237428i | −0.0159112 | + | 0.00918635i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 44.9505i | 1.73659i | ||||||||
\(671\) | −0.122928 | − | 0.0709727i | −0.00474559 | − | 0.00273987i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 5.35582 | 0.206452 | 0.103226 | − | 0.994658i | \(-0.467084\pi\) | ||||
0.103226 | + | 0.994658i | \(0.467084\pi\) | |||||||
\(674\) | −31.0869 | − | 17.9480i | −1.19742 | − | 0.691331i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −0.163778 | + | 0.264038i | −0.00629916 | + | 0.0101553i | ||||
\(677\) | −1.63177 | − | 2.82630i | −0.0627139 | − | 0.108624i | 0.832964 | − | 0.553328i | \(-0.186642\pi\) |
−0.895678 | + | 0.444704i | \(0.853309\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −28.0663 | − | 48.6123i | −1.07709 | − | 1.86557i | ||||
\(680\) | −1.64516 | −0.0630888 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 6.94660 | + | 4.01062i | 0.265999 | + | 0.153575i | ||||
\(683\) | 22.0781 | − | 12.7468i | 0.844794 | − | 0.487742i | −0.0140968 | − | 0.999901i | \(-0.504487\pi\) |
0.858891 | + | 0.512159i | \(0.171154\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 10.5262 | + | 18.2320i | 0.402187 | + | 0.696608i | ||||
\(686\) | −17.0397 | −0.650579 | ||||||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −7.85008 | + | 13.5967i | −0.299282 | + | 0.518371i | ||||
\(689\) | −0.121432 | − | 0.218218i | −0.00462619 | − | 0.00831344i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 22.1957i | 0.844364i | 0.906511 | + | 0.422182i | \(0.138736\pi\) | ||||
−0.906511 | + | 0.422182i | \(0.861264\pi\) | |||||||
\(692\) | −0.0402976 | + | 0.0697975i | −0.00153189 | + | 0.00265330i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | − | 7.62958i | − | 0.289615i | ||||||
\(695\) | −28.5176 | − | 16.4646i | −1.08173 | − | 0.624539i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 0.150240 | + | 0.0867410i | 0.00569074 | + | 0.00328555i | ||||
\(698\) | −37.1069 | −1.40452 | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | − | 0.314415i | − | 0.0118838i | ||||||
\(701\) | −35.2587 | −1.33170 | −0.665851 | − | 0.746085i | \(-0.731931\pi\) | ||||
−0.665851 | + | 0.746085i | \(0.731931\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 18.9112 | 0.713250 | ||||||||
\(704\) | − | 6.42306i | − | 0.242078i | ||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −42.0063 | −1.58093 | ||||||||
\(707\) | 4.14410 | + | 2.39260i | 0.155855 | + | 0.0899828i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 17.1633 | + | 9.90922i | 0.644580 | + | 0.372149i | 0.786377 | − | 0.617747i | \(-0.211954\pi\) |
−0.141796 | + | 0.989896i | \(0.545288\pi\) | |||||||
\(710\) | − | 1.33095i | − | 0.0499498i | ||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −7.50559 | + | 13.0001i | −0.281284 | + | 0.487198i | ||||
\(713\) | − | 18.2983i | − | 0.685276i | ||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −8.63933 | − | 0.136516i | −0.323093 | − | 0.00510540i | ||||
\(716\) | −0.154524 | + | 0.267643i | −0.00577483 | + | 0.0100023i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 38.7724 | 1.44697 | ||||||||
\(719\) | −12.5408 | − | 21.7214i | −0.467695 | − | 0.810071i | 0.531624 | − | 0.846981i | \(-0.321582\pi\) |
−0.999319 | + | 0.0369095i | \(0.988249\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −8.96521 | + | 5.17607i | −0.333882 | + | 0.192767i | ||||
\(722\) | 40.9697 | + | 23.6539i | 1.52474 | + | 0.880306i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −0.272288 | −0.0101195 | ||||||||
\(725\) | −17.3956 | − | 30.1301i | −0.646058 | − | 1.11900i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −5.05060 | − | 8.74790i | −0.187317 | − | 0.324442i | 0.757038 | − | 0.653371i | \(-0.226646\pi\) |
−0.944355 | + | 0.328929i | \(0.893312\pi\) | |||||||
\(728\) | 32.7666 | + | 0.517766i | 1.21441 | + | 0.0191897i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 24.1054 | + | 13.9173i | 0.892181 | + | 0.515101i | ||||
\(731\) | 0.760842 | 0.0281408 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 10.3089 | + | 5.95182i | 0.380766 | + | 0.219836i | 0.678152 | − | 0.734922i | \(-0.262781\pi\) |
−0.297385 | + | 0.954758i | \(0.596115\pi\) | |||||||
\(734\) | 30.1383i | 1.11242i | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −0.297975 | + | 0.172036i | −0.0109835 | + | 0.00634133i | ||||
\(737\) | 4.20213 | + | 7.27830i | 0.154787 | + | 0.268100i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 22.7597 | + | 13.1403i | 0.837231 | + | 0.483375i | 0.856322 | − | 0.516442i | \(-0.172744\pi\) |
−0.0190912 | + | 0.999818i | \(0.506077\pi\) | |||||||
\(740\) | 0.0940444 | + | 0.162890i | 0.00345714 | + | 0.00598795i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −0.155522 | + | 0.269373i | −0.00570940 | + | 0.00988898i | ||||
\(743\) | 6.24525 | − | 3.60570i | 0.229116 | − | 0.132280i | −0.381048 | − | 0.924555i | \(-0.624437\pi\) |
0.610164 | + | 0.792275i | \(0.291103\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 22.0757 | − | 38.2362i | 0.808790 | − | 1.40087i | ||||
\(746\) | − | 34.9255i | − | 1.27871i | ||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −0.00314574 | + | 0.00181619i | −0.000115019 | + | 6.64065e-5i | ||||
\(749\) | −15.1709 | + | 8.75892i | −0.554333 | + | 0.320044i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 0.249500 | + | 0.432147i | 0.00910439 | + | 0.0157693i | 0.870542 | − | 0.492095i | \(-0.163769\pi\) |
−0.861437 | + | 0.507864i | \(0.830435\pi\) | |||||||
\(752\) | −26.1110 | + | 15.0752i | −0.952169 | + | 0.549735i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 37.4191 | − | 20.8227i | 1.36272 | − | 0.758317i | ||||
\(755\) | 3.18216 | 0.115811 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 24.1489 | − | 41.8272i | 0.877708 | − | 1.52024i | 0.0238592 | − | 0.999715i | \(-0.492405\pi\) |
0.853849 | − | 0.520520i | \(-0.174262\pi\) | |||||||
\(758\) | 0.619969 | − | 1.07382i | 0.0225183 | − | 0.0390028i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 62.3381i | 2.26124i | ||||||||
\(761\) | − | 31.6996i | − | 1.14911i | −0.818467 | − | 0.574554i | \(-0.805176\pi\) | ||
0.818467 | − | 0.574554i | \(-0.194824\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −4.39355 | + | 7.60985i | −0.159057 | + | 0.275495i | ||||
\(764\) | 0.0390615 | − | 0.0676565i | 0.00141320 | − | 0.00244773i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −4.03424 | −0.145763 | ||||||||
\(767\) | 42.7431 | − | 23.7853i | 1.54336 | − | 0.858839i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −7.69488 | + | 4.44264i | −0.277484 | + | 0.160206i | −0.632284 | − | 0.774737i | \(-0.717882\pi\) |
0.354800 | + | 0.934942i | \(0.384549\pi\) | |||||||
\(770\) | 5.38093 | + | 9.32005i | 0.193915 | + | 0.335871i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −0.394585 | + | 0.227814i | −0.0142014 | + | 0.00819919i | ||||
\(773\) | −39.3502 | + | 22.7188i | −1.41533 | + | 0.817140i | −0.995884 | − | 0.0906413i | \(-0.971108\pi\) |
−0.419444 | + | 0.907781i | \(0.637775\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | − | 29.6071i | − | 1.06352i | ||||||
\(776\) | −24.9953 | + | 43.2932i | −0.897280 | + | 1.55414i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 14.6269 | − | 8.44484i | 0.524399 | − | 0.302762i | ||||
\(779\) | 3.28678 | − | 5.69287i | 0.117761 | − | 0.203968i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −0.124422 | − | 0.215506i | −0.00445218 | − | 0.00771139i | ||||
\(782\) | −0.593321 | − | 0.342554i | −0.0212171 | − | 0.0122497i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −6.33376 | − | 10.9704i | −0.226206 | − | 0.391800i | ||||
\(785\) | 29.2719 | − | 16.9001i | 1.04476 | − | 0.603191i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 4.87839i | 0.173896i | 0.996213 | + | 0.0869478i | \(0.0277113\pi\) | ||||
−0.996213 | + | 0.0869478i | \(0.972289\pi\) | |||||||
\(788\) | 0.0509969 | + | 0.0294431i | 0.00181669 | + | 0.00104887i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 18.1220 | 0.644754 | ||||||||
\(791\) | 45.6507 | + | 26.3564i | 1.62315 | + | 0.937127i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −0.644797 | − | 0.0101889i | −0.0228974 | − | 0.000361817i | ||||
\(794\) | 6.33473 | + | 10.9721i | 0.224811 | + | 0.389385i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 0.281112 | + | 0.486900i | 0.00996374 | + | 0.0172577i | ||||
\(797\) | −35.9086 | −1.27195 | −0.635974 | − | 0.771710i | \(-0.719402\pi\) | ||||
−0.635974 | + | 0.771710i | \(0.719402\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 1.26536 | + | 0.730555i | 0.0447652 | + | 0.0258452i | ||||
\(800\) | −0.482131 | + | 0.278359i | −0.0170459 | + | 0.00984146i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 23.3638 | + | 40.4673i | 0.825004 | + | 1.42895i | ||||
\(803\) | 5.20413 | 0.183650 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 12.2751 | − | 21.2611i | 0.432641 | − | 0.749356i | ||||
\(806\) | 36.4371 | + | 0.575766i | 1.28344 | + | 0.0202805i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | − | 4.26160i | − | 0.149923i | ||||||
\(809\) | 12.1005 | − | 20.9587i | 0.425430 | − | 0.736867i | −0.571030 | − | 0.820929i | \(-0.693456\pi\) |
0.996461 | + | 0.0840620i | \(0.0267894\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 14.3469i | − | 0.503789i | −0.967755 | − | 0.251894i | \(-0.918946\pi\) | ||
0.967755 | − | 0.251894i | \(-0.0810536\pi\) | |||||||
\(812\) | 0.558672 | + | 0.322549i | 0.0196055 | + | 0.0113193i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −2.51801 | − | 1.45377i | −0.0882563 | − | 0.0509548i | ||||
\(815\) | −5.89408 | −0.206461 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | − | 28.8298i | − | 1.00863i | ||||||
\(818\) | 47.6663 | 1.66661 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0.0653799 | 0.00228317 | ||||||||
\(821\) | 5.00052i | 0.174519i | 0.996186 | + | 0.0872596i | \(0.0278110\pi\) | ||||
−0.996186 | + | 0.0872596i | \(0.972189\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 4.52344 | 0.157677 | 0.0788385 | − | 0.996887i | \(-0.474879\pi\) | ||||
0.0788385 | + | 0.996887i | \(0.474879\pi\) | |||||||
\(824\) | 7.98425 | + | 4.60971i | 0.278144 | + | 0.160587i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −52.7630 | − | 30.4627i | −1.83586 | − | 1.05993i | ||||
\(827\) | 7.63184i | 0.265385i | 0.991157 | + | 0.132693i | \(0.0423623\pi\) | ||||
−0.991157 | + | 0.132693i | \(0.957638\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 8.47700 | − | 14.6826i | 0.294418 | − | 0.509948i | −0.680431 | − | 0.732812i | \(-0.738207\pi\) |
0.974849 | + | 0.222864i | \(0.0715407\pi\) | |||||||
\(830\) | − | 34.3803i | − | 1.19336i | ||||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −14.1893 | − | 25.4987i | −0.491926 | − | 0.884008i | ||||
\(833\) | −0.306939 | + | 0.531634i | −0.0106348 | + | 0.0184200i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −59.9928 | −2.07614 | ||||||||
\(836\) | 0.0688190 | + | 0.119198i | 0.00238015 | + | 0.00412255i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −30.8965 | + | 17.8381i | −1.06730 | + | 0.616206i | ||||
\(839\) | −19.8924 | − | 11.4849i | −0.686760 | − | 0.396501i | 0.115637 | − | 0.993292i | \(-0.463109\pi\) |
−0.802397 | + | 0.596790i | \(0.796442\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 42.3827 | 1.46147 | ||||||||
\(842\) | 8.29560 | + | 14.3684i | 0.285885 | + | 0.495168i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 0.0172724 | + | 0.0299167i | 0.000594540 | + | 0.00102977i | ||||
\(845\) | −34.5986 | + | 18.5434i | −1.19023 | + | 0.637912i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −28.6904 | − | 16.5644i | −0.985813 | − | 0.569159i | ||||
\(848\) | 0.273700 | 0.00939888 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −0.960008 | − | 0.554261i | −0.0329280 | − | 0.0190110i | ||||
\(851\) | 6.63278i | 0.227369i | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 16.0483 | − | 9.26548i | 0.549483 | − | 0.317244i | −0.199430 | − | 0.979912i | \(-0.563909\pi\) |
0.748913 | + | 0.662668i | \(0.230576\pi\) | |||||||
\(854\) | 0.401606 | + | 0.695602i | 0.0137427 | + | 0.0238030i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 13.5109 | + | 7.80053i | 0.461793 | + | 0.266617i | ||||
\(857\) | −20.7985 | − | 36.0241i | −0.710464 | − | 1.23056i | −0.964683 | − | 0.263413i | \(-0.915152\pi\) |
0.254219 | − | 0.967147i | \(-0.418181\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −7.48523 | + | 12.9648i | −0.255393 | + | 0.442353i | −0.965002 | − | 0.262242i | \(-0.915538\pi\) |
0.709609 | + | 0.704595i | \(0.248871\pi\) | |||||||
\(860\) | 0.248322 | − | 0.143369i | 0.00846771 | − | 0.00488883i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 8.08877 | − | 14.0102i | 0.275505 | − | 0.477188i | ||||
\(863\) | 30.1011i | 1.02465i | 0.858791 | + | 0.512327i | \(0.171216\pi\) | ||||
−0.858791 | + | 0.512327i | \(0.828784\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −8.81815 | + | 5.09116i | −0.299826 | + | 0.173105i | ||||
\(866\) | −17.0575 | + | 9.84813i | −0.579636 | + | 0.334653i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0.274487 | + | 0.475425i | 0.00931668 | + | 0.0161370i | ||||
\(869\) | 2.93429 | − | 1.69411i | 0.0995388 | − | 0.0574688i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 32.7605 | + | 19.6109i | 1.11005 | + | 0.664490i | ||||
\(872\) | 7.82562 | 0.265009 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −12.9800 | + | 22.4821i | −0.439056 | + | 0.760468i | ||||
\(875\) | −4.25466 | + | 7.36929i | −0.143834 | + | 0.249127i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | − | 4.60474i | − | 0.155491i | −0.996973 | − | 0.0777454i | \(-0.975228\pi\) | ||
0.996973 | − | 0.0777454i | \(-0.0247721\pi\) | |||||||
\(878\) | − | 47.9073i | − | 1.61679i | ||||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 4.73488 | − | 8.20105i | 0.159613 | − | 0.276457i | ||||
\(881\) | 23.1838 | − | 40.1555i | 0.781082 | − | 1.35287i | −0.150229 | − | 0.988651i | \(-0.548001\pi\) |
0.931312 | − | 0.364223i | \(-0.118666\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −20.7632 | −0.698737 | −0.349368 | − | 0.936985i | \(-0.613604\pi\) | ||||
−0.349368 | + | 0.936985i | \(0.613604\pi\) | |||||||
\(884\) | −0.00847598 | + | 0.0141594i | −0.000285078 | + | 0.000476231i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 39.7705 | − | 22.9615i | 1.33612 | − | 0.771407i | ||||
\(887\) | 19.3264 | + | 33.4743i | 0.648916 | + | 1.12396i | 0.983382 | + | 0.181548i | \(0.0581109\pi\) |
−0.334466 | + | 0.942408i | \(0.608556\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 42.6839 | − | 24.6435i | 1.43157 | − | 0.826518i | ||||
\(890\) | −19.3956 | + | 11.1981i | −0.650142 | + | 0.375360i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | − | 0.0144928i | − | 0.000485255i | ||||||
\(893\) | 27.6821 | − | 47.9468i | 0.926347 | − | 1.60448i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −33.8138 | + | 19.5224i | −1.13027 | + | 0.652562i | ||||
\(896\) | −17.7408 | + | 30.7280i | −0.592680 | + | 1.02655i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −6.22376 | − | 10.7799i | −0.207690 | − | 0.359729i | ||||
\(899\) | 52.6076 | + | 30.3730i | 1.75456 | + | 1.01300i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −0.00663185 | − | 0.0114867i | −0.000220939 | − | 0.000382677i | ||||
\(902\) | −0.875264 | + | 0.505334i | −0.0291431 | + | 0.0168258i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | − | 46.9450i | − | 1.56137i | ||||||
\(905\) | −29.7918 | − | 17.2003i | −0.990312 | − | 0.571757i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −23.2273 | −0.771250 | −0.385625 | − | 0.922656i | \(-0.626014\pi\) | ||||
−0.385625 | + | 0.922656i | \(0.626014\pi\) | |||||||
\(908\) | −0.477227 | − | 0.275527i | −0.0158373 | − | 0.00914370i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 41.9507 | + | 25.1123i | 1.39065 | + | 0.832463i | ||||
\(911\) | 28.3835 | + | 49.1616i | 0.940386 | + | 1.62880i | 0.764737 | + | 0.644343i | \(0.222869\pi\) |
0.175649 | + | 0.984453i | \(0.443798\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −3.21399 | − | 5.56679i | −0.106368 | − | 0.184234i | ||||
\(914\) | −21.3948 | −0.707678 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −0.0950498 | − | 0.0548770i | −0.00314053 | − | 0.00181319i | ||||
\(917\) | 19.5401 | − | 11.2815i | 0.645273 | − | 0.372548i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 10.2662 | + | 17.7815i | 0.338649 | + | 0.586557i | 0.984179 | − | 0.177178i | \(-0.0566967\pi\) |
−0.645530 | + | 0.763735i | \(0.723363\pi\) | |||||||
\(920\) | −21.8640 | −0.720834 | ||||||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −24.4677 | + | 42.3793i | −0.805800 | + | 1.39569i | ||||
\(923\) | −0.970018 | − | 0.580665i | −0.0319285 | − | 0.0191128i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 10.7320i | 0.352866i | ||||||||
\(926\) | 19.2617 | − | 33.3622i | 0.632978 | − | 1.09635i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | − | 1.14224i | − | 0.0374959i | ||||||
\(929\) | 37.7777 | + | 21.8110i | 1.23945 | + | 0.715595i | 0.968981 | − | 0.247134i | \(-0.0794888\pi\) |
0.270466 | + | 0.962729i | \(0.412822\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 20.1446 | + | 11.6305i | 0.660214 | + | 0.381175i | ||||
\(932\) | 0.187450 | 0.00614013 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 13.1309i | 0.429656i | ||||||||
\(935\) | −0.458912 | −0.0150080 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −50.6045 | −1.65318 | −0.826588 | − | 0.562807i | \(-0.809721\pi\) | ||||
−0.826588 | + | 0.562807i | \(0.809721\pi\) | |||||||
\(938\) | − | 47.5563i | − | 1.55277i | ||||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 0.550646 | 0.0179601 | ||||||||
\(941\) | 6.38079 | + | 3.68395i | 0.208008 | + | 0.120093i | 0.600385 | − | 0.799711i | \(-0.295014\pi\) |
−0.392377 | + | 0.919804i | \(0.628347\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 1.99667 | + | 1.15278i | 0.0650207 | + | 0.0375397i | ||||
\(944\) | 53.6105i | 1.74487i | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −2.21625 | + | 3.83866i | −0.0720565 | + | 0.124805i | ||||
\(947\) | − | 15.5196i | − | 0.504319i | −0.967686 | − | 0.252159i | \(-0.918859\pi\) | ||
0.967686 | − | 0.252159i | \(-0.0811407\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 20.6597 | − | 11.4966i | 0.670643 | − | 0.373194i | ||||
\(950\) | −21.0020 | + | 36.3766i | −0.681395 | + | 1.18021i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 1.74052 | 0.0564107 | ||||||||
\(953\) | 11.8288 | + | 20.4880i | 0.383171 | + | 0.663672i | 0.991514 | − | 0.130003i | \(-0.0414986\pi\) |
−0.608343 | + | 0.793675i | \(0.708165\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 8.54766 | − | 4.93499i | 0.276596 | − | 0.159693i | ||||
\(956\) | −0.0286482 | − | 0.0165400i | −0.000926549 | − | 0.000534943i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −15.5149 | −0.501263 | ||||||||
\(959\) | −11.1364 | − | 19.2889i | −0.359615 | − | 0.622871i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 10.3472 | + | 17.9218i | 0.333780 | + | 0.578123i | ||||
\(962\) | −13.2077 | − | 0.208704i | −0.425835 | − | 0.00672889i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 0.0837575 | + | 0.0483574i | 0.00269765 | + | 0.00155749i | ||||
\(965\) | −57.5635 | −1.85304 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −12.2838 | − | 7.09208i | −0.395022 | − | 0.228066i | 0.289312 | − | 0.957235i | \(-0.406574\pi\) |
−0.684334 | + | 0.729169i | \(0.739907\pi\) | |||||||
\(968\) | 29.5039i | 0.948290i | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −64.5918 | + | 37.2921i | −2.07392 | + | 1.19738i | ||||
\(971\) | 16.0778 | + | 27.8476i | 0.515963 | + | 0.893674i | 0.999828 | + | 0.0185312i | \(0.00589901\pi\) |
−0.483866 | + | 0.875142i | \(0.660768\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 30.1707 | + | 17.4191i | 0.967230 | + | 0.558430i | ||||
\(974\) | 8.11217 | + | 14.0507i | 0.259931 | + | 0.450213i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 0.353388 | − | 0.612085i | 0.0113117 | − | 0.0195924i | ||||
\(977\) | 45.1160 | − | 26.0477i | 1.44339 | − | 0.833340i | 0.445314 | − | 0.895375i | \(-0.353092\pi\) |
0.998074 | + | 0.0620342i | \(0.0197588\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −2.09367 | + | 3.62634i | −0.0669138 | + | 0.115898i | ||||
\(980\) | 0.231351i | 0.00739025i | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 25.8630 | − | 14.9320i | 0.825323 | − | 0.476500i | ||||
\(983\) | −22.2548 | + | 12.8488i | −0.709819 | + | 0.409814i | −0.810994 | − | 0.585055i | \(-0.801073\pi\) |
0.101175 | + | 0.994869i | \(0.467740\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 3.71981 | + | 6.44290i | 0.118523 | + | 0.205288i | ||||
\(986\) | 1.96969 | − | 1.13720i | 0.0627277 | − | 0.0362159i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0.536525 | + | 0.321171i | 0.0170691 | + | 0.0102178i | ||||
\(989\) | 10.1115 | 0.321528 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −6.04305 | + | 10.4669i | −0.191964 | + | 0.332491i | −0.945901 | − | 0.324455i | \(-0.894819\pi\) |
0.753937 | + | 0.656947i | \(0.228152\pi\) | |||||||
\(992\) | 0.486018 | − | 0.841808i | 0.0154311 | − | 0.0267274i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 1.40811i | 0.0446625i | ||||||||
\(995\) | 71.0308i | 2.25183i | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −27.7968 | + | 48.1455i | −0.880335 | + | 1.52478i | −0.0293652 | + | 0.999569i | \(0.509349\pi\) |
−0.850969 | + | 0.525215i | \(0.823985\pi\) | |||||||
\(998\) | −9.24317 | + | 16.0096i | −0.292587 | + | 0.506776i | ||||
\(999\) | 0 | 0 |
(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 | 351.2.l.b.199.9 | 22 | ||
3.2 | odd | 2 | 117.2.l.b.4.3 | ✓ | 22 | ||
9.2 | odd | 6 | 117.2.r.b.43.3 | yes | 22 | ||
9.7 | even | 3 | 351.2.r.b.316.9 | 22 | |||
13.10 | even | 6 | 351.2.r.b.10.9 | 22 | |||
39.23 | odd | 6 | 117.2.r.b.49.3 | yes | 22 | ||
117.88 | even | 6 | inner | 351.2.l.b.127.3 | 22 | ||
117.101 | odd | 6 | 117.2.l.b.88.9 | yes | 22 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
117.2.l.b.4.3 | ✓ | 22 | 3.2 | odd | 2 | ||
117.2.l.b.88.9 | yes | 22 | 117.101 | odd | 6 | ||
117.2.r.b.43.3 | yes | 22 | 9.2 | odd | 6 | ||
117.2.r.b.49.3 | yes | 22 | 39.23 | odd | 6 | ||
351.2.l.b.127.3 | 22 | 117.88 | even | 6 | inner | ||
351.2.l.b.199.9 | 22 | 1.1 | even | 1 | trivial | ||
351.2.r.b.10.9 | 22 | 13.10 | even | 6 | |||
351.2.r.b.316.9 | 22 | 9.7 | even | 3 |