Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [864,2,Mod(97,864)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(864, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("864.97");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 864 = 2^{5} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 864.y (of order \(9\), degree \(6\), 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: | \(6.89907473464\) |
Analytic rank: | \(0\) |
Dimension: | \(60\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 97.7 | ||
Character | \(\chi\) | \(=\) | 864.97 |
Dual form | 864.2.y.d.481.7 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/864\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(353\) | \(703\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{9}\right)\) | \(1\) |
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 | 0 | ||||||||
\(3\) | 0.790581 | + | 1.54110i | 0.456442 | + | 0.889753i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 3.49481 | + | 1.27201i | 1.56293 | + | 0.568858i | 0.971404 | − | 0.237431i | \(-0.0763053\pi\) |
0.591521 | + | 0.806289i | \(0.298528\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.718530 | + | 4.07499i | −0.271579 | + | 1.54020i | 0.478045 | + | 0.878335i | \(0.341346\pi\) |
−0.749624 | + | 0.661864i | \(0.769766\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −1.74996 | + | 2.43673i | −0.583321 | + | 0.812242i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 3.82696 | − | 1.39290i | 1.15387 | − | 0.419975i | 0.306967 | − | 0.951720i | \(-0.400686\pi\) |
0.846904 | + | 0.531746i | \(0.178464\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 4.06368 | − | 3.40983i | 1.12706 | − | 0.945717i | 0.128122 | − | 0.991758i | \(-0.459105\pi\) |
0.998940 | + | 0.0460411i | \(0.0146605\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0.802644 | + | 6.39146i | 0.207242 | + | 1.65027i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −2.18334 | − | 3.78166i | −0.529538 | − | 0.917187i | −0.999406 | − | 0.0344504i | \(-0.989032\pi\) |
0.469868 | − | 0.882737i | \(-0.344301\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −2.06780 | + | 3.58154i | −0.474387 | + | 0.821662i | −0.999570 | − | 0.0293271i | \(-0.990664\pi\) |
0.525183 | + | 0.850989i | \(0.323997\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −6.84801 | + | 2.11428i | −1.49436 | + | 0.461374i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −0.676087 | − | 3.83428i | −0.140974 | − | 0.799503i | −0.970512 | − | 0.241053i | \(-0.922507\pi\) |
0.829538 | − | 0.558450i | \(-0.188604\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 6.76546 | + | 5.67690i | 1.35309 | + | 1.13538i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −5.13872 | − | 0.770433i | −0.988947 | − | 0.148270i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −2.28202 | − | 1.91484i | −0.423761 | − | 0.355578i | 0.405831 | − | 0.913948i | \(-0.366982\pi\) |
−0.829592 | + | 0.558371i | \(0.811427\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −1.09063 | − | 6.18526i | −0.195882 | − | 1.11090i | −0.911156 | − | 0.412061i | \(-0.864809\pi\) |
0.715274 | − | 0.698844i | \(-0.246302\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 5.17211 | + | 4.79651i | 0.900349 | + | 0.834966i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −7.69453 | + | 13.3273i | −1.30061 | + | 2.25273i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −3.23710 | − | 5.60682i | −0.532176 | − | 0.921755i | −0.999294 | − | 0.0375605i | \(-0.988041\pi\) |
0.467119 | − | 0.884195i | \(-0.345292\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 8.46755 | + | 3.56678i | 1.35589 | + | 0.571141i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −0.477092 | + | 0.400328i | −0.0745093 | + | 0.0625207i | −0.679282 | − | 0.733878i | \(-0.737709\pi\) |
0.604772 | + | 0.796398i | \(0.293264\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −4.31111 | + | 1.56912i | −0.657438 | + | 0.239288i | −0.649130 | − | 0.760678i | \(-0.724867\pi\) |
−0.00830830 | + | 0.999965i | \(0.502645\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −9.21531 | + | 6.28993i | −1.37374 | + | 0.937647i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 0.191373 | − | 1.08533i | 0.0279146 | − | 0.158312i | −0.967664 | − | 0.252242i | \(-0.918832\pi\) |
0.995579 | + | 0.0939304i | \(0.0299431\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −9.51137 | − | 3.46186i | −1.35877 | − | 0.494551i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 4.10180 | − | 6.35445i | 0.574366 | − | 0.889801i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 2.61345 | 0.358984 | 0.179492 | − | 0.983759i | \(-0.442555\pi\) | ||||
0.179492 | + | 0.983759i | \(0.442555\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 15.1463 | 2.04232 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −7.15427 | − | 0.355188i | −0.947607 | − | 0.0470458i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 5.66002 | + | 2.06008i | 0.736871 | + | 0.268199i | 0.683071 | − | 0.730352i | \(-0.260644\pi\) |
0.0538009 | + | 0.998552i | \(0.482866\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1.75064 | − | 9.92840i | 0.224147 | − | 1.27120i | −0.640162 | − | 0.768240i | \(-0.721133\pi\) |
0.864309 | − | 0.502961i | \(-0.167756\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −8.67222 | − | 8.88193i | −1.09260 | − | 1.11902i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 18.5391 | − | 6.74768i | 2.29949 | − | 0.836947i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −6.64142 | + | 5.57282i | −0.811379 | + | 0.680828i | −0.950937 | − | 0.309386i | \(-0.899876\pi\) |
0.139557 | + | 0.990214i | \(0.455432\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 5.37450 | − | 4.07323i | 0.647014 | − | 0.490359i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 2.91408 | + | 5.04733i | 0.345837 | + | 0.599008i | 0.985506 | − | 0.169643i | \(-0.0542616\pi\) |
−0.639668 | + | 0.768651i | \(0.720928\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −1.06936 | + | 1.85218i | −0.125159 | + | 0.216781i | −0.921795 | − | 0.387678i | \(-0.873277\pi\) |
0.796636 | + | 0.604459i | \(0.206611\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −3.40000 | + | 14.9143i | −0.392599 | + | 1.72215i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 2.92626 | + | 16.5956i | 0.333478 | + | 1.89125i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −7.77819 | − | 6.52668i | −0.875115 | − | 0.734309i | 0.0900539 | − | 0.995937i | \(-0.471296\pi\) |
−0.965169 | + | 0.261628i | \(0.915741\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −2.87526 | − | 8.52836i | −0.319474 | − | 0.947595i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 3.75731 | + | 3.15276i | 0.412419 | + | 0.346060i | 0.825270 | − | 0.564738i | \(-0.191023\pi\) |
−0.412852 | + | 0.910798i | \(0.635467\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −2.82007 | − | 15.9934i | −0.305879 | − | 1.73473i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 1.14684 | − | 5.03066i | 0.122954 | − | 0.539343i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −3.99446 | + | 6.91860i | −0.423412 | + | 0.733371i | −0.996271 | − | 0.0862834i | \(-0.972501\pi\) |
0.572859 | + | 0.819654i | \(0.305834\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 10.9751 | + | 19.0095i | 1.15051 | + | 1.99274i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 8.66985 | − | 6.57071i | 0.899022 | − | 0.681351i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −11.7823 | + | 9.88655i | −1.20884 | + | 1.01434i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −3.00873 | + | 1.09509i | −0.305490 | + | 0.111189i | −0.490216 | − | 0.871601i | \(-0.663082\pi\) |
0.184727 | + | 0.982790i | \(0.440860\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −3.30292 | + | 11.7628i | −0.331956 | + | 1.18220i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −3.16978 | + | 17.9767i | −0.315405 | + | 1.78875i | 0.254537 | + | 0.967063i | \(0.418077\pi\) |
−0.569942 | + | 0.821685i | \(0.693034\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 11.9582 | + | 4.35242i | 1.17827 | + | 0.428857i | 0.855592 | − | 0.517651i | \(-0.173193\pi\) |
0.322682 | + | 0.946508i | \(0.395416\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −26.6218 | − | 1.32169i | −2.59803 | − | 0.128984i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −18.3129 | −1.77038 | −0.885190 | − | 0.465230i | \(-0.845972\pi\) | ||||
−0.885190 | + | 0.465230i | \(0.845972\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −5.09831 | −0.488330 | −0.244165 | − | 0.969734i | \(-0.578514\pi\) | ||||
−0.244165 | + | 0.969734i | \(0.578514\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 6.08146 | − | 9.42133i | 0.577227 | − | 0.894233i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 11.5551 | + | 4.20570i | 1.08701 | + | 0.395639i | 0.822512 | − | 0.568748i | \(-0.192572\pi\) |
0.264496 | + | 0.964387i | \(0.414794\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 2.51443 | − | 14.2601i | 0.234472 | − | 1.32976i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 1.19754 | + | 15.8692i | 0.110712 | + | 1.46710i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 16.9790 | − | 6.17985i | 1.55646 | − | 0.566506i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 4.27894 | − | 3.59045i | 0.388994 | − | 0.326405i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −0.994125 | − | 0.418754i | −0.0896372 | − | 0.0377578i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 7.12520 | + | 12.3412i | 0.637297 | + | 1.10383i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 5.54093 | − | 9.59718i | 0.491678 | − | 0.851612i | −0.508276 | − | 0.861194i | \(-0.669717\pi\) |
0.999954 | + | 0.00958268i | \(0.00305031\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −5.82644 | − | 5.40333i | −0.512990 | − | 0.475737i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −0.475797 | − | 2.69838i | −0.0415706 | − | 0.235758i | 0.956942 | − | 0.290279i | \(-0.0937481\pi\) |
−0.998513 | + | 0.0545205i | \(0.982637\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −13.1090 | − | 10.9997i | −1.13669 | − | 0.953797i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −16.9788 | − | 9.22900i | −1.46131 | − | 0.794306i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 2.86980 | + | 2.40805i | 0.245184 | + | 0.205734i | 0.757095 | − | 0.653305i | \(-0.226618\pi\) |
−0.511911 | + | 0.859038i | \(0.671062\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −3.00951 | − | 17.0678i | −0.255263 | − | 1.44767i | −0.795396 | − | 0.606090i | \(-0.792737\pi\) |
0.540133 | − | 0.841580i | \(-0.318374\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 1.82390 | − | 0.563118i | 0.153600 | − | 0.0474231i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 10.8020 | − | 18.7096i | 0.903306 | − | 1.56457i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −5.53954 | − | 9.59476i | −0.460033 | − | 0.796801i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −2.18445 | − | 17.3948i | −0.180171 | − | 1.43470i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 1.98619 | − | 1.66661i | 0.162715 | − | 0.136534i | −0.557795 | − | 0.829979i | \(-0.688352\pi\) |
0.720510 | + | 0.693445i | \(0.243908\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −9.81474 | + | 3.57227i | −0.798712 | + | 0.290707i | −0.708953 | − | 0.705256i | \(-0.750832\pi\) |
−0.0897593 | + | 0.995963i | \(0.528610\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 13.0356 | + | 1.29756i | 1.05387 | + | 0.104901i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 4.05615 | − | 23.0036i | 0.325798 | − | 1.84769i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 15.8461 | + | 5.76749i | 1.26465 | + | 0.460296i | 0.885328 | − | 0.464967i | \(-0.153934\pi\) |
0.379325 | + | 0.925263i | \(0.376156\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 2.06614 | + | 4.02758i | 0.163856 | + | 0.319408i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 16.1104 | 1.26968 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 8.19944 | 0.642230 | 0.321115 | − | 0.947040i | \(-0.395942\pi\) | ||||
0.321115 | + | 0.947040i | \(0.395942\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 11.9743 | + | 23.3418i | 0.932201 | + | 1.81716i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 4.87891 | + | 1.77578i | 0.377542 | + | 0.137414i | 0.523819 | − | 0.851830i | \(-0.324507\pi\) |
−0.146277 | + | 0.989244i | \(0.546729\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 2.62911 | − | 14.9104i | 0.202239 | − | 1.14696i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −5.10866 | − | 11.3062i | −0.390669 | − | 0.864610i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 14.3992 | − | 5.24087i | 1.09475 | − | 0.398456i | 0.269371 | − | 0.963036i | \(-0.413184\pi\) |
0.825378 | + | 0.564580i | \(0.190962\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −27.9945 | + | 23.4901i | −2.11618 | + | 1.77569i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 1.29992 | + | 10.3513i | 0.0977082 | + | 0.778051i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −8.42147 | − | 14.5864i | −0.629451 | − | 1.09024i | −0.987662 | − | 0.156600i | \(-0.949947\pi\) |
0.358212 | − | 0.933640i | \(-0.383387\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 0.504862 | − | 0.874446i | 0.0375261 | − | 0.0649971i | −0.846652 | − | 0.532146i | \(-0.821386\pi\) |
0.884178 | + | 0.467149i | \(0.154719\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 16.6847 | − | 5.15129i | 1.23337 | − | 0.380794i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −4.18113 | − | 23.7124i | −0.307403 | − | 1.74337i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −13.6230 | − | 11.4311i | −0.996214 | − | 0.835922i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 6.83183 | − | 20.3866i | 0.496942 | − | 1.48291i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −3.94392 | − | 3.30934i | −0.285372 | − | 0.239456i | 0.488853 | − | 0.872366i | \(-0.337416\pi\) |
−0.774225 | + | 0.632911i | \(0.781860\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 2.91547 | + | 16.5345i | 0.209860 | + | 1.19018i | 0.889606 | + | 0.456729i | \(0.150979\pi\) |
−0.679745 | + | 0.733448i | \(0.737910\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 25.0555 | + | 23.2360i | 1.79426 | + | 1.66396i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 1.08277 | − | 1.87542i | 0.0771443 | − | 0.133618i | −0.824872 | − | 0.565319i | \(-0.808753\pi\) |
0.902017 | + | 0.431701i | \(0.142086\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −11.6272 | − | 20.1388i | −0.824228 | − | 1.42760i | −0.902508 | − | 0.430673i | \(-0.858276\pi\) |
0.0782800 | − | 0.996931i | \(-0.475057\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −13.8388 | − | 5.82932i | −0.976116 | − | 0.411168i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 9.44266 | − | 7.92333i | 0.662745 | − | 0.556109i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −2.17657 | + | 0.792205i | −0.152018 | + | 0.0553300i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 10.5262 | + | 5.06241i | 0.731623 | + | 0.351862i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −2.92467 | + | 16.5866i | −0.202304 | + | 1.14732i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −5.06308 | − | 1.84281i | −0.348557 | − | 0.126864i | 0.161808 | − | 0.986822i | \(-0.448267\pi\) |
−0.510365 | + | 0.859958i | \(0.670490\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −5.47461 | + | 8.48120i | −0.375114 | + | 0.581122i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −17.0624 | −1.16365 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 25.9885 | 1.76421 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −3.69980 | − | 0.183684i | −0.250009 | − | 0.0124122i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −21.7672 | − | 7.92262i | −1.46422 | − | 0.532933i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 3.66530 | − | 20.7869i | 0.245447 | − | 1.39200i | −0.574007 | − | 0.818850i | \(-0.694612\pi\) |
0.819453 | − | 0.573146i | \(-0.194277\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −25.6723 | + | 6.55122i | −1.71149 | + | 0.436748i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −2.65053 | + | 0.964714i | −0.175922 | + | 0.0640303i | −0.428479 | − | 0.903552i | \(-0.640951\pi\) |
0.252558 | + | 0.967582i | \(0.418728\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −17.3556 | + | 14.5631i | −1.14689 | + | 0.962356i | −0.999642 | − | 0.0267436i | \(-0.991486\pi\) |
−0.147249 | + | 0.989099i | \(0.547042\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −23.2620 | + | 17.6298i | −1.53053 | + | 1.15996i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 9.23565 | + | 15.9966i | 0.605047 | + | 1.04797i | 0.992044 | + | 0.125892i | \(0.0401792\pi\) |
−0.386997 | + | 0.922081i | \(0.626487\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 2.04936 | − | 3.54960i | 0.133686 | − | 0.231550i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 3.90895 | − | 17.1468i | 0.253914 | − | 1.11381i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 3.68055 | + | 20.8734i | 0.238075 | + | 1.35019i | 0.836041 | + | 0.548667i | \(0.184865\pi\) |
−0.597966 | + | 0.801522i | \(0.704024\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −0.298133 | − | 0.250163i | −0.0192044 | − | 0.0161144i | 0.633135 | − | 0.774041i | \(-0.281768\pi\) |
−0.652339 | + | 0.757927i | \(0.726212\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 10.8699 | − | 11.1734i | 0.697304 | − | 0.716775i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −28.8369 | − | 24.1970i | −1.84232 | − | 1.54589i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 3.80956 | + | 21.6051i | 0.242397 | + | 1.37470i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −1.88825 | + | 8.28290i | −0.119663 | + | 0.524907i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −12.3296 | + | 21.3556i | −0.778240 | + | 1.34795i | 0.154716 | + | 0.987959i | \(0.450554\pi\) |
−0.932955 | + | 0.359992i | \(0.882779\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −7.92812 | − | 13.7319i | −0.498437 | − | 0.863317i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 22.4179 | − | 16.9901i | 1.40386 | − | 1.06396i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 10.2718 | − | 8.61908i | 0.640738 | − | 0.537643i | −0.263507 | − | 0.964658i | \(-0.584879\pi\) |
0.904245 | + | 0.427014i | \(0.140435\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 25.1736 | − | 9.16246i | 1.56421 | − | 0.569328i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 8.65940 | − | 2.20976i | 0.536003 | − | 0.136780i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 3.01475 | − | 17.0975i | 0.185897 | − | 1.05428i | −0.738899 | − | 0.673816i | \(-0.764654\pi\) |
0.924797 | − | 0.380461i | \(-0.124235\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 9.13349 | + | 3.32432i | 0.561066 | + | 0.204211i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −13.8202 | − | 0.686130i | −0.845782 | − | 0.0419905i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −7.42802 | −0.452894 | −0.226447 | − | 0.974023i | \(-0.572711\pi\) | ||||
−0.226447 | + | 0.974023i | \(0.572711\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −0.127126 | −0.00772233 | −0.00386116 | − | 0.999993i | \(-0.501229\pi\) | ||||
−0.00386116 | + | 0.999993i | \(0.501229\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −20.6188 | + | 31.9423i | −1.24790 | + | 1.93324i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 33.7985 | + | 12.3016i | 2.03812 | + | 0.741816i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −0.184320 | + | 1.04533i | −0.0110747 | + | 0.0628078i | −0.989844 | − | 0.142156i | \(-0.954597\pi\) |
0.978770 | + | 0.204964i | \(0.0657077\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 16.9803 | + | 8.16641i | 1.01659 | + | 0.488910i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −5.96339 | + | 2.17050i | −0.355746 | + | 0.129481i | −0.513710 | − | 0.857964i | \(-0.671729\pi\) |
0.157964 | + | 0.987445i | \(0.449507\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −8.03928 | + | 6.74576i | −0.477886 | + | 0.400994i | −0.849661 | − | 0.527329i | \(-0.823194\pi\) |
0.371776 | + | 0.928323i | \(0.378749\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −24.5510 | − | 10.3416i | −1.45428 | − | 0.612583i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −1.28853 | − | 2.23179i | −0.0760593 | − | 0.131739i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −1.03396 | + | 1.79087i | −0.0608212 | + | 0.105345i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −4.06628 | − | 3.77098i | −0.238369 | − | 0.221059i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −0.903546 | − | 5.12426i | −0.0527857 | − | 0.299363i | 0.946973 | − | 0.321312i | \(-0.104124\pi\) |
−0.999759 | + | 0.0219494i | \(0.993013\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 17.1602 | + | 14.3992i | 0.999108 | + | 0.838351i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −20.7388 | + | 4.20930i | −1.20339 | + | 0.244248i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −15.8217 | − | 13.2759i | −0.914990 | − | 0.767768i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −3.29646 | − | 18.6952i | −0.190005 | − | 1.07757i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −30.2098 | + | 9.32711i | −1.73551 | + | 0.535828i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 18.7471 | − | 32.4710i | 1.07346 | − | 1.85928i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 12.3396 | + | 21.3728i | 0.704259 | + | 1.21981i | 0.966958 | + | 0.254934i | \(0.0820538\pi\) |
−0.262700 | + | 0.964878i | \(0.584613\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 2.74641 | + | 21.8696i | 0.156238 | + | 1.24412i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 6.87269 | − | 5.76687i | 0.389715 | − | 0.327009i | −0.426787 | − | 0.904352i | \(-0.640355\pi\) |
0.816502 | + | 0.577343i | \(0.195910\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 1.77911 | − | 0.647544i | 0.100561 | − | 0.0366013i | −0.291250 | − | 0.956647i | \(-0.594071\pi\) |
0.391811 | + | 0.920046i | \(0.371849\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −19.0099 | − | 42.0718i | −1.07109 | − | 2.37048i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −5.67056 | + | 32.1594i | −0.318491 | + | 1.80625i | 0.233452 | + | 0.972368i | \(0.424998\pi\) |
−0.551943 | + | 0.833882i | \(0.686113\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −11.4004 | − | 4.14940i | −0.638299 | − | 0.232322i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −14.4779 | − | 28.2220i | −0.808076 | − | 1.57520i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 18.0589 | 1.00482 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 46.8499 | 2.59877 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −4.03063 | − | 7.85699i | −0.222894 | − | 0.434493i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 4.28520 | + | 1.55969i | 0.236251 | + | 0.0859883i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 2.57508 | − | 14.6040i | 0.141539 | − | 0.802707i | −0.828542 | − | 0.559927i | \(-0.810829\pi\) |
0.970081 | − | 0.242781i | \(-0.0780596\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 19.3271 | + | 1.92380i | 1.05912 | + | 0.105424i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −30.2992 | + | 11.0280i | −1.65542 | + | 0.602524i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 11.3476 | − | 9.52176i | 0.618143 | − | 0.518683i | −0.279076 | − | 0.960269i | \(-0.590028\pi\) |
0.897219 | + | 0.441585i | \(0.145584\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 2.65382 | + | 21.1324i | 0.144136 | + | 1.14775i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −12.7892 | − | 22.1516i | −0.692575 | − | 1.19957i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 6.45875 | − | 11.1869i | 0.348740 | − | 0.604035i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 23.9640 | − | 7.39875i | 1.29018 | − | 0.398335i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 6.12313 | + | 34.7260i | 0.328707 | + | 1.86419i | 0.482230 | + | 0.876045i | \(0.339827\pi\) |
−0.153523 | + | 0.988145i | \(0.549062\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −3.44126 | − | 2.88756i | −0.184207 | − | 0.154568i | 0.546021 | − | 0.837771i | \(-0.316142\pi\) |
−0.730228 | + | 0.683204i | \(0.760586\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −23.5092 | + | 14.3914i | −1.25483 | + | 0.768155i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −13.5745 | − | 11.3903i | −0.722495 | − | 0.606246i | 0.205579 | − | 0.978641i | \(-0.434092\pi\) |
−0.928074 | + | 0.372395i | \(0.878537\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 3.76391 | + | 21.3462i | 0.199767 | + | 1.13294i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 22.9470 | + | 21.2806i | 1.21449 | + | 1.12629i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −6.30140 | + | 10.9143i | −0.332575 | + | 0.576037i | −0.983016 | − | 0.183520i | \(-0.941251\pi\) |
0.650441 | + | 0.759557i | \(0.274584\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 0.948366 | + | 1.64262i | 0.0499140 | + | 0.0864536i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 8.91608 | + | 3.75571i | 0.467973 | + | 0.197124i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −6.09317 | + | 5.11278i | −0.318931 | + | 0.267615i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 31.9195 | − | 11.6177i | 1.66618 | − | 0.606441i | 0.674866 | − | 0.737940i | \(-0.264201\pi\) |
0.991316 | + | 0.131499i | \(0.0419792\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −0.140596 | − | 1.86310i | −0.00731912 | − | 0.0969892i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −1.87784 | + | 10.6498i | −0.0974926 | + | 0.552908i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −16.7089 | − | 6.08154i | −0.865153 | − | 0.314890i | −0.128950 | − | 0.991651i | \(-0.541161\pi\) |
−0.736203 | + | 0.676761i | \(0.763383\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −13.3860 | + | 20.7374i | −0.691248 | + | 1.07087i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −15.8027 | −0.813880 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −18.3633 | −0.943260 | −0.471630 | − | 0.881797i | \(-0.656334\pi\) | ||||
−0.471630 | + | 0.881797i | \(0.656334\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 19.1707 | + | 0.951769i | 0.982147 | + | 0.0487606i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 5.04048 | + | 1.83458i | 0.257556 | + | 0.0937429i | 0.467571 | − | 0.883955i | \(-0.345129\pi\) |
−0.210015 | + | 0.977698i | \(0.567351\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −10.8830 | + | 61.7207i | −0.554651 | + | 3.14558i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 3.72078 | − | 13.2509i | 0.189138 | − | 0.673581i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 10.4800 | − | 3.81442i | 0.531359 | − | 0.193399i | −0.0623858 | − | 0.998052i | \(-0.519871\pi\) |
0.593745 | + | 0.804653i | \(0.297649\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −13.0238 | + | 10.9283i | −0.658643 | + | 0.552667i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 3.78231 | − | 2.86654i | 0.190792 | − | 0.144598i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −18.8813 | − | 32.7034i | −0.950022 | − | 1.64549i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −15.1368 | + | 26.2178i | −0.759696 | + | 1.31583i | 0.183309 | + | 0.983055i | \(0.441319\pi\) |
−0.943005 | + | 0.332777i | \(0.892014\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 6.58795 | − | 28.8984i | 0.329810 | − | 1.44673i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 4.07267 | + | 23.0973i | 0.203380 | + | 1.15342i | 0.899969 | + | 0.435953i | \(0.143589\pi\) |
−0.696590 | + | 0.717470i | \(0.745300\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −25.5226 | − | 21.4160i | −1.27137 | − | 1.06681i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 0.799631 | − | 33.4623i | 0.0397340 | − | 1.66276i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −20.1980 | − | 16.9481i | −1.00118 | − | 0.840086i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 6.69332 | + | 37.9597i | 0.330964 | + | 1.87699i | 0.463937 | + | 0.885868i | \(0.346436\pi\) |
−0.132974 | + | 0.991120i | \(0.542453\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −1.44223 | + | 6.32641i | −0.0711399 | + | 0.312059i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −12.4617 | + | 21.5843i | −0.613199 | + | 1.06209i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 9.12076 | + | 15.7976i | 0.447720 | + | 0.775475i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 23.9238 | − | 18.1314i | 1.17156 | − | 0.887899i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 3.32611 | − | 2.79094i | 0.162491 | − | 0.136346i | −0.557917 | − | 0.829897i | \(-0.688399\pi\) |
0.720408 | + | 0.693551i | \(0.243955\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 30.1360 | − | 10.9686i | 1.46874 | − | 0.534577i | 0.520980 | − | 0.853569i | \(-0.325567\pi\) |
0.947757 | + | 0.318992i | \(0.103344\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 2.30976 | + | 2.36561i | 0.112304 | + | 0.115020i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 6.69677 | − | 37.9793i | 0.324841 | − | 1.84227i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 39.2002 | + | 14.2677i | 1.89703 | + | 0.690462i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 37.3731 | + | 1.85546i | 1.80439 | + | 0.0895825i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −7.12897 | −0.343391 | −0.171695 | − | 0.985150i | \(-0.554924\pi\) | ||||
−0.171695 | + | 0.985150i | \(0.554924\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −12.3858 | −0.595226 | −0.297613 | − | 0.954687i | \(-0.596190\pi\) | ||||
−0.297613 | + | 0.954687i | \(0.596190\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 10.4070 | − | 16.1224i | 0.498978 | − | 0.773010i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 15.1307 | + | 5.50711i | 0.723798 | + | 0.263441i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −0.731071 | + | 4.14611i | −0.0348921 | + | 0.197883i | −0.997271 | − | 0.0738281i | \(-0.976478\pi\) |
0.962379 | + | 0.271711i | \(0.0875895\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 25.0801 | − | 17.1185i | 1.19429 | − | 0.815166i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 31.2580 | − | 11.3770i | 1.48511 | − | 0.540537i | 0.532955 | − | 0.846144i | \(-0.321082\pi\) |
0.952158 | + | 0.305607i | \(0.0988594\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −22.7604 | + | 19.0982i | −1.07895 | + | 0.905342i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 4.13866 | + | 1.74332i | 0.195752 | + | 0.0824563i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −2.67506 | − | 4.63334i | −0.126244 | − | 0.218661i | 0.795975 | − | 0.605330i | \(-0.206959\pi\) |
−0.922218 | + | 0.386669i | \(0.873625\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −1.26820 | + | 2.19658i | −0.0597170 | + | 0.103433i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −13.2646 | − | 12.3013i | −0.623224 | − | 0.577965i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 14.1758 | + | 80.3950i | 0.664572 | + | 3.76898i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −15.2928 | − | 12.8322i | −0.715366 | − | 0.600263i | 0.210733 | − | 0.977544i | \(-0.432415\pi\) |
−0.926099 | + | 0.377280i | \(0.876859\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 8.30606 | + | 21.1150i | 0.387694 | + | 0.985564i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 21.5076 | + | 18.0471i | 1.00171 | + | 0.840535i | 0.987221 | − | 0.159360i | \(-0.0509431\pi\) |
0.0144901 | + | 0.999895i | \(0.495387\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 5.72965 | + | 32.4944i | 0.266279 | + | 1.51014i | 0.765368 | + | 0.643593i | \(0.222557\pi\) |
−0.499088 | + | 0.866551i | \(0.666332\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 38.6575 | − | 11.9353i | 1.79270 | − | 0.553485i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 2.76592 | − | 4.79071i | 0.127991 | − | 0.221687i | −0.794907 | − | 0.606731i | \(-0.792480\pi\) |
0.922898 | + | 0.385044i | \(0.125814\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −17.9371 | − | 31.0679i | −0.828258 | − | 1.43458i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 3.63933 | + | 28.9800i | 0.167691 | + | 1.33533i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −14.3128 | + | 12.0099i | −0.658104 | + | 0.552215i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −34.3217 | + | 12.4921i | −1.57479 | + | 0.573176i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −4.57343 | + | 6.36825i | −0.209403 | + | 0.291582i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 3.67542 | − | 20.8444i | 0.167934 | − | 0.952403i | −0.778053 | − | 0.628199i | \(-0.783792\pi\) |
0.945987 | − | 0.324204i | \(-0.105096\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −32.2728 | − | 11.7464i | −1.47151 | − | 0.535587i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 12.7366 | + | 24.8277i | 0.579536 | + | 1.12970i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −11.9079 | −0.540709 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 14.4479 | 0.654695 | 0.327348 | − | 0.944904i | \(-0.393845\pi\) | ||||
0.327348 | + | 0.944904i | \(0.393845\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 6.48232 | + | 12.6361i | 0.293141 | + | 0.571426i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −9.93340 | − | 3.61546i | −0.448288 | − | 0.163164i | 0.108004 | − | 0.994150i | \(-0.465554\pi\) |
−0.556292 | + | 0.830987i | \(0.687776\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −2.25885 | + | 12.8106i | −0.101734 | + | 0.576960i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −26.5054 | + | 36.9073i | −1.19133 | + | 1.65886i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −22.6616 | + | 8.24817i | −1.01651 | + | 0.369981i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −1.57824 | + | 1.32430i | −0.0706519 | + | 0.0592840i | −0.677430 | − | 0.735588i | \(-0.736906\pi\) |
0.606778 | + | 0.794871i | \(0.292462\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 1.12053 | + | 8.92278i | 0.0500615 | + | 0.398640i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 12.5110 | + | 21.6698i | 0.557840 | + | 0.966207i | 0.997676 | + | 0.0681293i | \(0.0217030\pi\) |
−0.439837 | + | 0.898078i | \(0.644964\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −33.9442 | + | 58.7931i | −1.51050 | + | 2.61626i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 25.0569 | − | 7.73619i | 1.11282 | − | 0.343576i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −2.04442 | − | 11.5945i | −0.0906174 | − | 0.513917i | −0.996002 | − | 0.0893254i | \(-0.971529\pi\) |
0.905385 | − | 0.424591i | \(-0.139582\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −6.77923 | − | 5.68845i | −0.299896 | − | 0.251642i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 13.3852 | − | 16.8114i | 0.590971 | − | 0.742243i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 36.2552 | + | 30.4217i | 1.59760 | + | 1.34054i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −0.779379 | − | 4.42008i | −0.0342770 | − | 0.194395i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 19.4604 | + | 18.0472i | 0.854218 | + | 0.792184i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 0.916637 | − | 1.58766i | 0.0401586 | − | 0.0695567i | −0.845247 | − | 0.534375i | \(-0.820547\pi\) |
0.885406 | + | 0.464818i | \(0.153880\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −10.2381 | − | 17.7329i | −0.447680 | − | 0.775404i | 0.550555 | − | 0.834799i | \(-0.314416\pi\) |
−0.998235 | + | 0.0593951i | \(0.981083\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −58.3325 | − | 24.5713i | −2.54584 | − | 1.07238i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −21.0093 | + | 17.6289i | −0.915180 | + | 0.767927i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 7.36831 | − | 2.68184i | 0.320361 | − | 0.116602i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −14.9247 | + | 10.1868i | −0.647675 | + | 0.442072i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −0.573699 | + | 3.25361i | −0.0248497 | + | 0.140929i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −64.0002 | − | 23.2942i | −2.76697 | − | 1.00710i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 15.8212 | − | 24.5101i | 0.682737 | − | 1.05769i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −41.2216 | −1.77554 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −22.8214 | −0.981169 | −0.490584 | − | 0.871394i | \(-0.663217\pi\) | ||||
−0.490584 | + | 0.871394i | \(0.663217\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 1.74674 | + | 0.0867204i | 0.0749598 | + | 0.00372153i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −17.8176 | − | 6.48508i | −0.763223 | − | 0.277790i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 1.76657 | − | 10.0187i | 0.0755332 | − | 0.428370i | −0.923468 | − | 0.383676i | \(-0.874658\pi\) |
0.999001 | − | 0.0446934i | \(-0.0142311\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 21.1292 | + | 21.6402i | 0.901773 | + | 0.923580i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 11.5769 | − | 4.21364i | 0.493191 | − | 0.179507i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 32.1850 | − | 27.0064i | 1.36864 | − | 1.14843i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 33.2375 | − | 25.1901i | 1.41085 | − | 1.06926i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 3.30359 | + | 5.72199i | 0.139978 | + | 0.242448i | 0.927488 | − | 0.373853i | \(-0.121964\pi\) |
−0.787510 | + | 0.616302i | \(0.788630\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −12.1686 | + | 21.0765i | −0.514675 | + | 0.891443i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 6.84629 | − | 30.0316i | 0.289050 | − | 1.26793i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −7.13543 | − | 40.4670i | −0.300722 | − | 1.70548i | −0.642986 | − | 0.765878i | \(-0.722305\pi\) |
0.342264 | − | 0.939604i | \(-0.388806\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 35.0330 | + | 29.3962i | 1.47385 | + | 1.23671i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 36.8189 | − | 5.58877i | 1.54625 | − | 0.234706i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −8.33625 | − | 6.99495i | −0.349474 | − | 0.293243i | 0.451105 | − | 0.892471i | \(-0.351030\pi\) |
−0.800579 | + | 0.599228i | \(0.795474\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 4.72897 | + | 26.8193i | 0.197901 | + | 1.12235i | 0.908226 | + | 0.418480i | \(0.137437\pi\) |
−0.710324 | + | 0.703874i | \(0.751452\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 1.98203 | − | 8.69427i | 0.0828005 | − | 0.363209i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 17.1928 | − | 29.7788i | 0.716988 | − | 1.24186i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 2.97982 | + | 5.16120i | 0.124052 | + | 0.214864i | 0.921362 | − | 0.388706i | \(-0.127078\pi\) |
−0.797310 | + | 0.603570i | \(0.793744\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −23.1763 | + | 17.5649i | −0.963175 | + | 0.729971i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −15.5472 | + | 13.0456i | −0.645006 | + | 0.541225i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 10.0015 | − | 3.64026i | 0.414222 | − | 0.150764i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −16.0005 | + | 56.9829i | −0.661539 | + | 2.35595i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −6.77108 | + | 38.4007i | −0.279473 | + | 1.58497i | 0.444914 | + | 0.895573i | \(0.353234\pi\) |
−0.724386 | + | 0.689394i | \(0.757877\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 24.4080 | + | 8.88377i | 1.00571 | + | 0.366049i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 3.74622 | + | 0.185988i | 0.154099 | + | 0.00765053i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −22.2104 | −0.912070 | −0.456035 | − | 0.889962i | \(-0.650731\pi\) | ||||
−0.456035 | + | 0.889962i | \(0.650731\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 67.1992 | 2.75490 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 21.8437 | − | 33.8400i | 0.894003 | − | 1.38498i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 14.0876 | + | 5.12746i | 0.575603 | + | 0.209502i | 0.613385 | − | 0.789784i | \(-0.289807\pi\) |
−0.0377827 | + | 0.999286i | \(0.512029\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 5.38658 | − | 30.5488i | 0.219723 | − | 1.24611i | −0.652796 | − | 0.757533i | \(-0.726404\pi\) |
0.872520 | − | 0.488579i | \(-0.162485\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −1.95718 | − | 25.9355i | −0.0797026 | − | 1.05618i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 19.5211 | − | 7.10511i | 0.793647 | − | 0.288864i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −16.2118 | + | 13.6033i | −0.658017 | + | 0.552141i | −0.909492 | − | 0.415722i | \(-0.863529\pi\) |
0.251475 | + | 0.967864i | \(0.419084\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 19.6758 | + | 8.28802i | 0.797304 | + | 0.335848i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −2.92312 | − | 5.06299i | −0.118257 | − | 0.204827i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −0.991914 | + | 1.71805i | −0.0400630 | + | 0.0693912i | −0.885362 | − | 0.464903i | \(-0.846089\pi\) |
0.845299 | + | 0.534294i | \(0.179423\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −2.94162 | − | 2.72800i | −0.118617 | − | 0.110003i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −0.199631 | − | 1.13216i | −0.00803685 | − | 0.0455792i | 0.980526 | − | 0.196391i | \(-0.0629223\pi\) |
−0.988562 | + | 0.150812i | \(0.951811\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −14.1141 | − | 11.8431i | −0.567293 | − | 0.476015i | 0.313453 | − | 0.949604i | \(-0.398514\pi\) |
−0.880746 | + | 0.473588i | \(0.842958\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0.520165 | + | 20.2242i | 0.0208735 | + | 0.811568i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −25.3231 | − | 21.2486i | −1.01455 | − | 0.851306i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 1.53509 | + | 8.70592i | 0.0614035 | + | 0.348237i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −27.8738 | + | 8.60589i | −1.11317 | + | 0.343686i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −14.1354 | + | 24.4832i | −0.563614 | + | 0.976209i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 2.19443 | + | 3.80086i | 0.0873588 | + | 0.151310i | 0.906394 | − | 0.422434i | \(-0.138824\pi\) |
−0.819035 | + | 0.573743i | \(0.805491\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −1.16283 | − | 9.25958i | −0.0462181 | − | 0.368035i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 31.5722 | − | 26.4922i | 1.25290 | − | 1.05131i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −50.4555 | + | 18.3643i | −1.99912 | + | 0.727620i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −17.3985 | − | 1.73183i | −0.688273 | − | 0.0685102i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 3.31302 | − | 18.7890i | 0.130856 | − | 0.742123i | −0.846800 | − | 0.531912i | \(-0.821474\pi\) |
0.977656 | − | 0.210211i | \(-0.0674151\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −33.4844 | − | 12.1873i | −1.32049 | − | 0.480621i | −0.416878 | − | 0.908962i | \(-0.636876\pi\) |
−0.903617 | + | 0.428342i | \(0.859098\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −13.4892 | − | 26.2949i | −0.531138 | − | 1.03536i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −4.64685 | −0.182687 | −0.0913434 | − | 0.995819i | \(-0.529116\pi\) | ||||
−0.0913434 | + | 0.995819i | \(0.529116\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 24.5301 | 0.962891 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 20.5460 | + | 40.0508i | 0.805261 | + | 1.56971i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 5.74640 | + | 2.09152i | 0.224874 | + | 0.0818475i | 0.452000 | − | 0.892018i | \(-0.350711\pi\) |
−0.227126 | + | 0.973865i | \(0.572933\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 1.76954 | − | 10.0355i | 0.0691415 | − | 0.392121i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −2.64192 | − | 5.84697i | −0.103071 | − | 0.228112i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 32.4589 | − | 11.8141i | 1.26442 | − | 0.460211i | 0.379170 | − | 0.925327i | \(-0.376209\pi\) |
0.885250 | + | 0.465115i | \(0.153987\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 21.8307 | − | 18.3181i | 0.849114 | − | 0.712492i | −0.110480 | − | 0.993878i | \(-0.535239\pi\) |
0.959594 | + | 0.281387i | \(0.0907944\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −4.99923 | − | 39.8089i | −0.194154 | − | 1.54605i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −31.8216 | − | 55.1166i | −1.23399 | − | 2.13733i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −5.79920 | + | 10.0445i | −0.224546 | + | 0.388925i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 34.9324 | − | 10.7852i | 1.35057 | − | 0.416979i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −7.12961 | − | 40.4340i | −0.275235 | − | 1.56094i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 1.91246 | + | 1.60474i | 0.0737199 | + | 0.0618583i | 0.678903 | − | 0.734228i | \(-0.262456\pi\) |
−0.605183 | + | 0.796086i | \(0.706900\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −30.3921 | − | 34.3843i | −1.16979 | − | 1.32345i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −24.4592 | − | 20.5237i | −0.940042 | − | 0.788789i | 0.0375506 | − | 0.999295i | \(-0.488044\pi\) |
−0.977593 | + | 0.210506i | \(0.932489\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −2.30060 | − | 13.0474i | −0.0882890 | − | 0.500712i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −3.58218 | − | 3.32204i | −0.137269 | − | 0.127301i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −12.7427 | + | 22.0711i | −0.487587 | + | 0.844526i | −0.999898 | − | 0.0142741i | \(-0.995456\pi\) |
0.512311 | + | 0.858800i | \(0.328790\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 6.96636 | + | 12.0661i | 0.266171 | + | 0.461021i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −36.1642 | − | 15.2334i | −1.37975 | − | 0.581190i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 10.6202 | − | 8.91141i | 0.404598 | − | 0.339498i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −33.4246 | + | 12.1656i | −1.27153 | + | 0.462800i | −0.887623 | − | 0.460571i | \(-0.847645\pi\) |
−0.383909 | + | 0.923371i | \(0.625422\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −45.5598 | − | 21.9112i | −1.73067 | − | 0.832339i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 11.1927 | − | 63.4767i | 0.424562 | − | 2.40781i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 2.55556 | + | 0.930147i | 0.0967987 | + | 0.0352318i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −17.3508 | + | 26.8797i | −0.656268 | + | 1.01668i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −2.71776 | −0.102648 | −0.0513242 | − | 0.998682i | \(-0.516344\pi\) | ||||
−0.0513242 | + | 0.998682i | \(0.516344\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 26.7747 | 1.00983 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 7.09046 | + | 0.352020i | 0.267042 | + | 0.0132578i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −70.9772 | − | 25.8336i | −2.66937 | − | 0.971572i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −5.01413 | + | 28.4365i | −0.188309 | + | 1.06796i | 0.733320 | + | 0.679884i | \(0.237970\pi\) |
−0.921629 | + | 0.388072i | \(0.873141\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 29.5153 | − | 7.53188i | 1.10691 | − | 0.282467i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −22.9787 | + | 8.36355i | −0.860557 | + | 0.313217i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 61.5495 | − | 51.6462i | 2.30182 | − | 1.93146i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −29.2582 | + | 22.1742i | −1.09267 | + | 0.828111i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 17.8472 | + | 30.9122i | 0.665588 | + | 1.15283i | 0.979126 | + | 0.203256i | \(0.0651525\pi\) |
−0.313538 | + | 0.949576i | \(0.601514\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −26.3283 | + | 45.6020i | −0.980519 | + | 1.69831i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 0.149828 | − | 0.657226i | 0.00557215 | − | 0.0244425i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −4.56856 | − | 25.9096i | −0.169672 | − | 0.962259i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 10.6359 | + | 8.92461i | 0.394465 | + | 0.330996i | 0.818350 | − | 0.574721i | \(-0.194889\pi\) |
−0.423884 | + | 0.905716i | \(0.639334\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 25.8129 | + | 7.91808i | 0.956032 | + | 0.293262i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 15.3465 | + | 12.8772i | 0.567610 | + | 0.476282i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −0.354851 | − | 2.01246i | −0.0131067 | − | 0.0743320i | 0.977553 | − | 0.210690i | \(-0.0675712\pi\) |
−0.990660 | + | 0.136358i | \(0.956460\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 14.4921 | − | 63.5702i | 0.534548 | − | 2.34482i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −17.6541 | + | 30.5777i | −0.650296 | + | 1.12635i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 9.01775 | + | 15.6192i | 0.331723 | + | 0.574562i | 0.982850 | − | 0.184408i | \(-0.0590366\pi\) |
−0.651127 | + | 0.758969i | \(0.725703\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −30.2838 | + | 22.9515i | −1.11250 | + | 0.843145i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 7.57525 | − | 6.35639i | 0.277909 | − | 0.233193i | −0.493170 | − | 0.869933i | \(-0.664162\pi\) |
0.771079 | + | 0.636740i | \(0.219717\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 9.06130 | − | 3.29805i | 0.331981 | − | 0.120831i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −14.2576 | + | 3.63833i | −0.521657 | + | 0.133120i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 13.1584 | − | 74.6250i | 0.480797 | − | 2.72674i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −25.5492 | − | 9.29916i | −0.932305 | − | 0.339331i | −0.169182 | − | 0.985585i | \(-0.554113\pi\) |
−0.763123 | + | 0.646254i | \(0.776335\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −42.6586 | − | 2.11787i | −1.55456 | − | 0.0771794i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −38.8446 | −1.41370 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 27.5055 | 0.999703 | 0.499852 | − | 0.866111i | \(-0.333388\pi\) | ||||
0.499852 | + | 0.866111i | \(0.333388\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 14.8944 | − | 23.0742i | 0.540632 | − | 0.837540i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −47.7505 | − | 17.3798i | −1.73095 | − | 0.630016i | −0.732256 | − | 0.681030i | \(-0.761532\pi\) |
−0.998698 | + | 0.0510142i | \(0.983755\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 3.66329 | − | 20.7755i | 0.132620 | − | 0.752125i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 43.9065 | + | 21.1161i | 1.58744 | + | 0.763455i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 30.0250 | − | 10.9282i | 1.08414 | − | 0.394595i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −35.1032 | + | 29.4551i | −1.26585 | + | 1.06218i | −0.270821 | + | 0.962630i | \(0.587295\pi\) |
−0.995033 | + | 0.0995482i | \(0.968260\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 21.4035 | + | 9.01579i | 0.770830 | + | 0.324696i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −3.87109 | − | 6.70492i | −0.139233 | − | 0.241159i | 0.787973 | − | 0.615709i | \(-0.211130\pi\) |
−0.927207 | + | 0.374550i | \(0.877797\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 27.7345 | − | 48.0375i | 0.996251 | − | 1.72556i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 34.0221 | + | 31.5514i | 1.22053 | + | 1.13190i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −0.447258 | − | 2.53653i | −0.0160247 | − | 0.0908805i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 18.1825 | + | 15.2569i | 0.650620 | + | 0.545935i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 10.2514 | + | 11.5980i | 0.366355 | + | 0.414478i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 48.0427 | + | 40.3126i | 1.71472 | + | 1.43882i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 1.54793 | + | 8.77873i | 0.0551776 | + | 0.312928i | 0.999888 | − | 0.0149786i | \(-0.00476800\pi\) |
−0.944710 | + | 0.327907i | \(0.893657\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 28.7323 | − | 8.87094i | 1.02290 | − | 0.315814i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −25.4408 | + | 44.0648i | −0.904571 | + | 1.56676i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −26.7401 | − | 46.3152i | −0.949569 | − | 1.64470i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 2.09767 | + | 16.7037i | 0.0743966 | + | 0.592421i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 17.0645 | − | 14.3188i | 0.604455 | − | 0.507198i | −0.288419 | − | 0.957504i | \(-0.593130\pi\) |
0.892874 | + | 0.450307i | \(0.148685\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −4.52218 | + | 1.64594i | −0.159983 | + | 0.0582292i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −9.86859 | − | 21.8407i | −0.348689 | − | 0.771703i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −1.51248 | + | 8.57771i | −0.0533743 | + | 0.302701i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 56.3029 | + | 20.4926i | 1.98442 | + | 0.722268i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −5.87245 | − | 11.4473i | −0.206720 | − | 0.402964i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 29.7225 | 1.04499 | 0.522494 | − | 0.852643i | \(-0.325002\pi\) | ||||
0.522494 | + | 0.852643i | \(0.325002\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −7.15882 | −0.251380 | −0.125690 | − | 0.992070i | \(-0.540114\pi\) | ||||
−0.125690 | + | 0.992070i | \(0.540114\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −0.100503 | − | 0.195913i | −0.00352480 | − | 0.00687097i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 28.6555 | + | 10.4297i | 1.00376 | + | 0.365338i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 3.29468 | − | 18.6851i | 0.115266 | − | 0.653707i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −65.5270 | − | 6.52251i | −2.28970 | − | 0.227915i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −19.1617 | + | 6.97429i | −0.668748 | + | 0.243404i | −0.654009 | − | 0.756487i | \(-0.726914\pi\) |
−0.0147393 | + | 0.999891i | \(0.504692\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 37.0587 | − | 31.0959i | 1.29178 | − | 1.08394i | 0.300282 | − | 0.953850i | \(-0.402919\pi\) |
0.991503 | − | 0.130086i | \(-0.0415252\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 7.76241 | + | 61.8122i | 0.270253 | + | 2.15202i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 13.3505 | + | 23.1237i | 0.464242 | + | 0.804091i | 0.999167 | − | 0.0408087i | \(-0.0129934\pi\) |
−0.534925 | + | 0.844900i | \(0.679660\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −16.8443 | + | 29.1752i | −0.585027 | + | 1.01330i | 0.409845 | + | 0.912155i | \(0.365583\pi\) |
−0.994872 | + | 0.101142i | \(0.967750\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −1.75668 | + | 0.542364i | −0.0609384 | + | 0.0188144i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 7.67502 | + | 43.5272i | 0.265924 | + | 1.50813i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 14.7921 | + | 12.4120i | 0.511901 | + | 0.429536i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 0.839102 | + | 32.6245i | 0.0290036 | + | 1.12767i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 8.81910 | + | 7.40010i | 0.304469 | + | 0.255480i | 0.782202 | − | 0.623025i | \(-0.214097\pi\) |
−0.477732 | + | 0.878505i | \(0.658541\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −3.49480 | − | 19.8200i | −0.120510 | − | 0.683448i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −8.05949 | − | 7.47421i | −0.277584 | − | 0.257426i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 28.1544 | − | 48.7648i | 0.968541 | − | 1.67756i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 11.5565 | + | 20.0164i | 0.397086 | + | 0.687773i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −16.7516 | − | 7.05624i | −0.574912 | − | 0.242170i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −19.3096 | + | 16.2026i | −0.661923 | + | 0.555419i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 13.1062 | − | 4.77028i | 0.448749 | − | 0.163331i | −0.107753 | − | 0.994178i | \(-0.534365\pi\) |
0.556502 | + | 0.830846i | \(0.312143\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −3.47217 | − | 46.0114i | −0.118746 | − | 1.57356i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 6.80072 | − | 38.5688i | 0.232308 | − | 1.31749i | −0.615900 | − | 0.787824i | \(-0.711208\pi\) |
0.848209 | − | 0.529662i | \(-0.177681\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 25.7913 | + | 9.38728i | 0.879989 | + | 0.320290i | 0.742205 | − | 0.670173i | \(-0.233780\pi\) |
0.137784 | + | 0.990462i | \(0.456002\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 2.42072 | − | 3.75016i | 0.0824981 | − | 0.127805i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 29.2657 | 0.996215 | 0.498108 | − | 0.867115i | \(-0.334028\pi\) | ||||
0.498108 | + | 0.867115i | \(0.334028\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 56.9888 | 1.93768 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −3.57734 | − | 0.177604i | −0.121493 | − | 0.00603174i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −38.8578 | − | 14.1431i | −1.31816 | − | 0.479771i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −7.98625 | + | 45.2923i | −0.270604 | + | 1.53467i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 2.59673 | − | 9.24780i | 0.0878860 | − | 0.312991i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −55.4099 | + | 20.1676i | −1.87320 | + | 0.681788i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −41.0245 | + | 34.4236i | −1.38530 | + | 1.16240i | −0.418094 | + | 0.908404i | \(0.637302\pi\) |
−0.967204 | + | 0.253999i | \(0.918254\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 7.18266 | − | 5.44360i | 0.242265 | − | 0.183608i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 14.8443 | + | 25.7111i | 0.500118 | + | 0.866230i | 1.00000 | 0.000136425i | \(4.34255e-5\pi\) | |
−0.499882 | + | 0.866094i | \(0.666623\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −12.8331 | + | 22.2276i | −0.431870 | + | 0.748020i | −0.997034 | − | 0.0769581i | \(-0.975479\pi\) |
0.565165 | + | 0.824978i | \(0.308813\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −8.62393 | + | 37.8293i | −0.289890 | + | 1.27162i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −1.07159 | − | 6.07726i | −0.0359803 | − | 0.204055i | 0.961518 | − | 0.274741i | \(-0.0885921\pi\) |
−0.997499 | + | 0.0706865i | \(0.977481\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 35.1270 | + | 29.4751i | 1.17812 | + | 0.988562i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −22.8826 | − | 28.6327i | −0.766597 | − | 0.959231i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 3.49144 | + | 2.92966i | 0.116837 | + | 0.0980375i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −10.8774 | − | 61.6889i | −0.363592 | − | 2.06203i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 7.95122 | − | 34.8784i | 0.265484 | − | 1.16456i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −9.35496 | + | 16.2033i | −0.312005 | + | 0.540409i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −5.70605 | − | 9.88316i | −0.190096 | − | 0.329256i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 26.2050 | − | 19.8602i | 0.872046 | − | 0.660907i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 2.87670 | − | 2.41383i | 0.0956246 | − | 0.0802386i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −35.7794 | + | 13.0226i | −1.18803 | + | 0.432409i | −0.859033 | − | 0.511920i | \(-0.828934\pi\) |
−0.329001 | + | 0.944329i | \(0.606712\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −38.2573 | − | 39.1824i | −1.26891 | − | 1.29960i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −0.564052 | + | 3.19890i | −0.0186879 | + | 0.105984i | −0.992725 | − | 0.120405i | \(-0.961581\pi\) |
0.974037 | + | 0.226389i | \(0.0726919\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 18.7705 | + | 6.83192i | 0.621214 | + | 0.226104i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 64.8621 | + | 3.22021i | 2.14428 | + | 0.106457i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 11.3377 | 0.374405 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −41.7773 | −1.37811 | −0.689053 | − | 0.724711i | \(-0.741973\pi\) | ||||
−0.689053 | + | 0.724711i | \(0.741973\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −23.1821 | + | 35.9135i | −0.763878 | + | 1.18339i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 29.0524 | + | 10.5742i | 0.956272 | + | 0.348055i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 9.92886 | − | 56.3094i | 0.326459 | − | 1.85144i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −31.5320 | + | 21.5222i | −1.03565 | + | 0.706882i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −45.8090 | + | 16.6731i | −1.50295 | + | 0.547027i | −0.956821 | − | 0.290677i | \(-0.906119\pi\) |
−0.546124 | + | 0.837704i | \(0.683897\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 32.0664 | − | 26.9069i | 1.05094 | − | 0.881839i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 14.3207 | + | 6.03231i | 0.468840 | + | 0.197489i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −33.0694 | − | 57.2779i | −1.08149 | − | 1.87319i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 25.8742 | − | 44.8154i | 0.845272 | − | 1.46405i | −0.0401130 | − | 0.999195i | \(-0.512772\pi\) |
0.885385 | − | 0.464859i | \(-0.153895\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 2.40446 | + | 2.22985i | 0.0784666 | + | 0.0727683i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −6.33721 | − | 35.9401i | −0.206587 | − | 1.17161i | −0.894923 | − | 0.446221i | \(-0.852769\pi\) |
0.688336 | − | 0.725392i | \(-0.258342\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 1.85753 | + | 1.55865i | 0.0604894 | + | 0.0507566i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 49.8078 | − | 62.5572i | 1.62025 | − | 2.03499i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 20.4955 | + | 17.1977i | 0.666013 | + | 0.558851i | 0.911882 | − | 0.410452i | \(-0.134629\pi\) |
−0.245869 | + | 0.969303i | \(0.579073\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 1.97010 | + | 11.1730i | 0.0639521 | + | 0.362690i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −54.0438 | + | 16.6857i | −1.75249 | + | 0.541071i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −11.6621 | + | 20.1993i | −0.377771 | + | 0.654319i | −0.990738 | − | 0.135790i | \(-0.956643\pi\) |
0.612966 | + | 0.790109i | \(0.289976\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −9.57375 | − | 16.5822i | −0.309799 | − | 0.536588i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −2.61830 | − | 20.8495i | −0.0846376 | − | 0.673970i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −11.8748 | + | 9.96415i | −0.383458 | + | 0.321759i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −7.93744 | + | 2.88899i | −0.256047 | + | 0.0931933i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 32.0470 | − | 44.6236i | 1.03270 | − | 1.43798i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −10.8429 | + | 61.4933i | −0.349046 | + | 1.97954i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −10.1127 | − | 3.68070i | −0.325201 | − | 0.118363i | 0.174260 | − | 0.984700i | \(-0.444247\pi\) |
−0.499461 | + | 0.866336i | \(0.666469\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 14.2770 | + | 27.8305i | 0.458644 | + | 0.894045i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 52.2764 | 1.67763 | 0.838814 | − | 0.544418i | \(-0.183249\pi\) | ||||
0.838814 | + | 0.544418i | \(0.183249\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 71.7133 | 2.29902 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 37.0387 | + | 72.2003i | 1.18619 | + | 2.31226i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 55.9585 | + | 20.3672i | 1.79027 | + | 0.651605i | 0.999205 | + | 0.0398736i | \(0.0126955\pi\) |
0.791065 | + | 0.611731i | \(0.209527\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −5.64970 | + | 32.0411i | −0.180565 | + | 1.02404i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 8.92185 | − | 12.4232i | 0.284853 | − | 0.396642i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −7.56531 | + | 2.75355i | −0.241296 | + | 0.0878246i | −0.459837 | − | 0.888003i | \(-0.652092\pi\) |
0.218541 | + | 0.975828i | \(0.429870\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 6.16962 | − | 5.17693i | 0.196580 | − | 0.164951i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 0.984172 | + | 7.83697i | 0.0313265 | + | 0.249454i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 8.93112 | + | 15.4692i | 0.283993 | + | 0.491890i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 9.43980 | − | 16.3502i | 0.299865 | − | 0.519382i | −0.676240 | − | 0.736682i | \(-0.736392\pi\) |
0.976105 | + | 0.217300i | \(0.0697250\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 24.5420 | − | 7.57719i | 0.778816 | − | 0.240455i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −15.0180 | − | 85.1712i | −0.476102 | − | 2.70011i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −36.4297 | − | 30.5681i | −1.15374 | − | 0.968103i | −0.153940 | − | 0.988080i | \(-0.549196\pi\) |
−0.999800 | + | 0.0199773i | \(0.993641\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 12.3149 | + | 31.3058i | 0.389625 | + | 0.990472i |
(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 | 864.2.y.d.97.7 | yes | 60 | |
4.3 | odd | 2 | inner | 864.2.y.d.97.4 | ✓ | 60 | |
27.22 | even | 9 | inner | 864.2.y.d.481.7 | yes | 60 | |
108.103 | odd | 18 | inner | 864.2.y.d.481.4 | yes | 60 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
864.2.y.d.97.4 | ✓ | 60 | 4.3 | odd | 2 | inner | |
864.2.y.d.97.7 | yes | 60 | 1.1 | even | 1 | trivial | |
864.2.y.d.481.4 | yes | 60 | 108.103 | odd | 18 | inner | |
864.2.y.d.481.7 | yes | 60 | 27.22 | even | 9 | inner |