Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [804,2,Mod(49,804)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(804, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 0, 46]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("804.49");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 804 = 2^{2} \cdot 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 804.y (of order \(33\), degree \(20\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.41997232251\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{33})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{33}]$ |
Embedding invariants
Embedding label | 73.5 | ||
Character | \(\chi\) | \(=\) | 804.73 |
Dual form | 804.2.y.b.793.5 |
$q$-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 \(\left(\mathbb{Z}/804\mathbb{Z}\right)^\times\).
\(n\) | \(269\) | \(337\) | \(403\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{20}{33}\right)\) | \(1\) |
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 | ||||||||
\(3\) | −0.415415 | + | 0.909632i | −0.239840 | + | 0.525176i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 2.10734 | + | 0.618772i | 0.942433 | + | 0.276723i | 0.716633 | − | 0.697450i | \(-0.245682\pi\) |
0.225800 | + | 0.974174i | \(0.427500\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.474282 | − | 0.0914103i | 0.179262 | − | 0.0345499i | −0.0988303 | − | 0.995104i | \(-0.531510\pi\) |
0.278092 | + | 0.960554i | \(0.410298\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −0.654861 | − | 0.755750i | −0.218287 | − | 0.251917i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 3.02245 | − | 2.88190i | 0.911303 | − | 0.868925i | −0.0804934 | − | 0.996755i | \(-0.525650\pi\) |
0.991796 | + | 0.127830i | \(0.0408011\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.287738 | − | 6.04037i | 0.0798043 | − | 1.67530i | −0.504231 | − | 0.863569i | \(-0.668224\pi\) |
0.584035 | − | 0.811729i | \(-0.301473\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −1.43828 | + | 1.65986i | −0.371362 | + | 0.428574i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 0.106025 | − | 0.0833792i | 0.0257149 | − | 0.0202224i | −0.605219 | − | 0.796059i | \(-0.706914\pi\) |
0.630934 | + | 0.775837i | \(0.282672\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 4.57644 | + | 0.882036i | 1.04991 | + | 0.202353i | 0.684889 | − | 0.728648i | \(-0.259851\pi\) |
0.365018 | + | 0.931001i | \(0.381063\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −0.113874 | + | 0.469395i | −0.0248494 | + | 0.102430i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 0.0590758 | − | 0.00564106i | 0.0123182 | − | 0.00117624i | −0.0888951 | − | 0.996041i | \(-0.528334\pi\) |
0.101213 | + | 0.994865i | \(0.467728\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.148248 | − | 0.0952734i | −0.0296497 | − | 0.0190547i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 0.959493 | − | 0.281733i | 0.184655 | − | 0.0542195i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −0.202525 | + | 0.350784i | −0.0376080 | + | 0.0651389i | −0.884217 | − | 0.467077i | \(-0.845307\pi\) |
0.846609 | + | 0.532216i | \(0.178640\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.214233 | + | 4.49731i | 0.0384775 | + | 0.807741i | 0.932817 | + | 0.360352i | \(0.117343\pi\) |
−0.894339 | + | 0.447390i | \(0.852354\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 1.36590 | + | 3.94650i | 0.237772 | + | 0.686998i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 1.05604 | + | 0.100839i | 0.178503 | + | 0.0170450i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −1.16314 | − | 2.01461i | −0.191218 | − | 0.331200i | 0.754436 | − | 0.656374i | \(-0.227910\pi\) |
−0.945654 | + | 0.325174i | \(0.894577\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 5.37498 | + | 2.77100i | 0.860686 | + | 0.443715i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 2.08254 | + | 0.833724i | 0.325239 | + | 0.130206i | 0.528535 | − | 0.848911i | \(-0.322741\pi\) |
−0.203297 | + | 0.979117i | \(0.565166\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 1.26496 | + | 8.79801i | 0.192905 | + | 1.34168i | 0.824270 | + | 0.566198i | \(0.191586\pi\) |
−0.631365 | + | 0.775486i | \(0.717505\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −0.912380 | − | 1.99783i | −0.136010 | − | 0.297819i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 0.663038 | + | 0.931107i | 0.0967141 | + | 0.135816i | 0.860097 | − | 0.510130i | \(-0.170403\pi\) |
−0.763383 | + | 0.645946i | \(0.776463\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −6.28199 | + | 2.51493i | −0.897427 | + | 0.359276i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0.0317999 | + | 0.131081i | 0.00445288 | + | 0.0183550i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 0.919967 | − | 6.39851i | 0.126367 | − | 0.878903i | −0.823737 | − | 0.566972i | \(-0.808115\pi\) |
0.950105 | − | 0.311932i | \(-0.100976\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 8.15258 | − | 4.20295i | 1.09929 | − | 0.566725i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −2.70345 | + | 3.79646i | −0.358080 | + | 0.502854i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 8.18366 | − | 5.25932i | 1.06542 | − | 0.684705i | 0.114276 | − | 0.993449i | \(-0.463545\pi\) |
0.951145 | + | 0.308744i | \(0.0999087\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 3.09277 | + | 2.94895i | 0.395989 | + | 0.377574i | 0.861748 | − | 0.507337i | \(-0.169370\pi\) |
−0.465759 | + | 0.884912i | \(0.654219\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −0.379672 | − | 0.298577i | −0.0478342 | − | 0.0376172i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 4.34398 | − | 12.5511i | 0.538804 | − | 1.55677i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 1.95922 | + | 7.94742i | 0.239356 | + | 0.970932i | ||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −0.0194097 | + | 0.0560806i | −0.00233665 | + | 0.00675131i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 4.67866 | + | 3.67934i | 0.555254 | + | 0.436657i | 0.855947 | − | 0.517064i | \(-0.172975\pi\) |
−0.300692 | + | 0.953721i | \(0.597218\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −5.09429 | − | 4.85739i | −0.596241 | − | 0.568515i | 0.330693 | − | 0.943738i | \(-0.392718\pi\) |
−0.926934 | + | 0.375223i | \(0.877566\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 0.148248 | − | 0.0952734i | 0.0171182 | − | 0.0110012i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 1.17006 | − | 1.64312i | 0.133340 | − | 0.187250i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −6.81475 | + | 3.51325i | −0.766719 | + | 0.395271i | −0.796774 | − | 0.604277i | \(-0.793462\pi\) |
0.0300553 | + | 0.999548i | \(0.490432\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −0.142315 | + | 0.989821i | −0.0158128 | + | 0.109980i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −1.19490 | − | 4.92546i | −0.131158 | − | 0.540640i | −0.999037 | − | 0.0438654i | \(-0.986033\pi\) |
0.867880 | − | 0.496775i | \(-0.165482\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.275025 | − | 0.110103i | 0.0298306 | − | 0.0119424i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −0.234952 | − | 0.329944i | −0.0251895 | − | 0.0353737i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 1.25611 | + | 2.75050i | 0.133147 | + | 0.291552i | 0.964449 | − | 0.264270i | \(-0.0851309\pi\) |
−0.831301 | + | 0.555822i | \(0.812404\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.415683 | − | 2.89114i | −0.0435755 | − | 0.303074i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −4.17990 | − | 1.67338i | −0.433435 | − | 0.173521i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 9.09834 | + | 4.69052i | 0.933470 | + | 0.481237i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 5.47937 | + | 9.49054i | 0.556345 | + | 0.963619i | 0.997797 | + | 0.0663338i | \(0.0211302\pi\) |
−0.441452 | + | 0.897285i | \(0.645536\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −4.15728 | − | 0.396972i | −0.417822 | − | 0.0398972i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 0.748085 | + | 2.16145i | 0.0744372 | + | 0.215072i | 0.976081 | − | 0.217407i | \(-0.0697600\pi\) |
−0.901644 | + | 0.432480i | \(0.857639\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 0.434157 | + | 9.11408i | 0.0427788 | + | 0.898037i | 0.913644 | + | 0.406515i | \(0.133256\pi\) |
−0.870865 | + | 0.491522i | \(0.836441\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −0.530420 | + | 0.918715i | −0.0517637 | + | 0.0896574i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −7.13214 | + | 2.09419i | −0.689490 | + | 0.202453i | −0.607664 | − | 0.794194i | \(-0.707893\pi\) |
−0.0818260 | + | 0.996647i | \(0.526075\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −2.63278 | − | 1.69199i | −0.252175 | − | 0.162063i | 0.408446 | − | 0.912782i | \(-0.366071\pi\) |
−0.660621 | + | 0.750719i | \(0.729707\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 2.31574 | − | 0.221126i | 0.219800 | − | 0.0209884i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 3.08211 | − | 12.7046i | 0.289941 | − | 1.19515i | −0.621398 | − | 0.783495i | \(-0.713435\pi\) |
0.911339 | − | 0.411657i | \(-0.135050\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.127984 | + | 0.0246668i | 0.0119345 | + | 0.00230019i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −4.75344 | + | 3.73814i | −0.439455 | + | 0.345592i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 0.0426642 | − | 0.0492371i | 0.00391102 | − | 0.00451355i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 0.306453 | − | 6.43325i | 0.0278594 | − | 0.584841i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −1.62350 | + | 1.54801i | −0.146386 | + | 0.139579i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −7.44484 | − | 8.59181i | −0.665887 | − | 0.768475i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −9.42316 | + | 1.81617i | −0.836171 | + | 0.161159i | −0.589325 | − | 0.807896i | \(-0.700606\pi\) |
−0.246846 | + | 0.969055i | \(0.579394\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −8.52843 | − | 2.50417i | −0.750887 | − | 0.220480i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −3.48887 | + | 7.63957i | −0.304824 | + | 0.667472i | −0.998610 | − | 0.0527094i | \(-0.983214\pi\) |
0.693785 | + | 0.720182i | \(0.255942\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 2.25115 | 0.195199 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 2.19631 | 0.189028 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 9.39297 | − | 20.5677i | 0.802495 | − | 1.75722i | 0.165716 | − | 0.986174i | \(-0.447007\pi\) |
0.636780 | − | 0.771046i | \(-0.280266\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −9.73845 | − | 2.85947i | −0.826004 | − | 0.242537i | −0.158705 | − | 0.987326i | \(-0.550732\pi\) |
−0.667300 | + | 0.744789i | \(0.732550\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −1.12240 | + | 0.216325i | −0.0945232 | + | 0.0182179i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −16.5381 | − | 19.0860i | −1.38298 | − | 1.59605i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −0.643845 | + | 0.613905i | −0.0534684 | + | 0.0509820i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 0.321973 | − | 6.75904i | 0.0265559 | − | 0.557476i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −12.8096 | + | 14.7831i | −1.04940 | + | 1.21108i | −0.0725063 | + | 0.997368i | \(0.523100\pi\) |
−0.976897 | + | 0.213709i | \(0.931446\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −2.17354 | + | 1.70929i | −0.176880 | + | 0.139100i | −0.702674 | − | 0.711512i | \(-0.748011\pi\) |
0.525794 | + | 0.850612i | \(0.323768\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −0.132446 | − | 0.0255268i | −0.0107076 | − | 0.00206372i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −2.33135 | + | 9.60995i | −0.187258 | + | 0.771889i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −16.2488 | + | 1.55157i | −1.29679 | + | 0.123829i | −0.720523 | − | 0.693431i | \(-0.756098\pi\) |
−0.576269 | + | 0.817260i | \(0.695492\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 5.43812 | + | 3.49487i | 0.431271 | + | 0.277161i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 0.0275029 | − | 0.00807559i | 0.00216753 | − | 0.000636446i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −0.220703 | + | 0.382270i | −0.0172868 | + | 0.0299417i | −0.874539 | − | 0.484954i | \(-0.838836\pi\) |
0.857253 | + | 0.514896i | \(0.172170\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0.436431 | + | 9.16181i | 0.0339761 | + | 0.713246i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −2.92282 | − | 8.44494i | −0.226175 | − | 0.653489i | −0.999803 | − | 0.0198492i | \(-0.993681\pi\) |
0.773628 | − | 0.633640i | \(-0.218440\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −23.4622 | − | 2.24036i | −1.80478 | − | 0.172336i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −2.33033 | − | 4.03625i | −0.178205 | − | 0.308660i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −21.6314 | − | 11.1518i | −1.64461 | − | 0.847853i | −0.996251 | − | 0.0865151i | \(-0.972427\pi\) |
−0.648355 | − | 0.761338i | \(-0.724543\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −0.0790205 | − | 0.0316350i | −0.00597339 | − | 0.00239138i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 1.38443 | + | 9.62891i | 0.104060 | + | 0.723754i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −2.69567 | − | 5.90270i | −0.201484 | − | 0.441189i | 0.781737 | − | 0.623609i | \(-0.214334\pi\) |
−0.983221 | + | 0.182420i | \(0.941607\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 11.6405 | + | 16.3468i | 0.865231 | + | 1.21505i | 0.975247 | + | 0.221117i | \(0.0709703\pi\) |
−0.110016 | + | 0.993930i | \(0.535090\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −3.96724 | + | 1.58824i | −0.293267 | + | 0.117406i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −1.20454 | − | 4.96519i | −0.0885597 | − | 0.365048i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0.0801656 | − | 0.557564i | 0.00586229 | − | 0.0407731i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0.429317 | − | 0.221328i | 0.0312282 | − | 0.0160993i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 4.20722 | − | 5.90822i | 0.304424 | − | 0.427504i | −0.633819 | − | 0.773482i | \(-0.718513\pi\) |
0.938243 | + | 0.345978i | \(0.112453\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −2.10693 | + | 1.35404i | −0.151660 | + | 0.0974660i | −0.614270 | − | 0.789096i | \(-0.710549\pi\) |
0.462610 | + | 0.886562i | \(0.346913\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 9.61233 | + | 9.16533i | 0.688353 | + | 0.656343i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 15.7977 | + | 12.4234i | 1.12554 | + | 0.885133i | 0.994342 | − | 0.106223i | \(-0.0338758\pi\) |
0.131196 | + | 0.991356i | \(0.458118\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 5.02946 | − | 14.5317i | 0.356529 | − | 1.03012i | −0.614035 | − | 0.789279i | \(-0.710455\pi\) |
0.970564 | − | 0.240843i | \(-0.0774240\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −8.04311 | − | 1.51931i | −0.567318 | − | 0.107164i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −0.0639887 | + | 0.184883i | −0.00449113 | + | 0.0129763i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 3.87275 | + | 3.04556i | 0.270484 | + | 0.212711i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −0.0429497 | − | 0.0409524i | −0.00298521 | − | 0.00284639i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 16.3740 | − | 10.5229i | 1.13261 | − | 0.727886i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −7.81143 | + | 10.9696i | −0.537761 | + | 0.755180i | −0.990656 | − | 0.136384i | \(-0.956452\pi\) |
0.452895 | + | 0.891564i | \(0.350391\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −5.29043 | + | 2.72740i | −0.362494 | + | 0.186879i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −2.77825 | + | 19.3232i | −0.189475 | + | 1.31783i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0.512708 | + | 2.11341i | 0.0348049 | + | 0.143468i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 6.53469 | − | 2.61609i | 0.441573 | − | 0.176779i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −0.473134 | − | 0.664424i | −0.0318264 | − | 0.0446940i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −2.11515 | − | 4.63154i | −0.141641 | − | 0.310151i | 0.825495 | − | 0.564409i | \(-0.190896\pi\) |
−0.967136 | + | 0.254258i | \(0.918169\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0.0250792 | + | 0.174429i | 0.00167194 | + | 0.0116286i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 16.1695 | + | 6.47329i | 1.07321 | + | 0.429647i | 0.839892 | − | 0.542754i | \(-0.182618\pi\) |
0.233315 | + | 0.972401i | \(0.425043\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 4.30231 | + | 2.21799i | 0.284304 | + | 0.146569i | 0.594481 | − | 0.804110i | \(-0.297358\pi\) |
−0.310176 | + | 0.950679i | \(0.600388\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 1.00857 | + | 1.74690i | 0.0663591 | + | 0.114937i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −4.34168 | − | 0.414580i | −0.284433 | − | 0.0271601i | −0.0481355 | − | 0.998841i | \(-0.515328\pi\) |
−0.236297 | + | 0.971681i | \(0.575934\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0.821107 | + | 2.37243i | 0.0535631 | + | 0.154760i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −0.364813 | − | 7.65837i | −0.0236971 | − | 0.497464i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 3.76281 | − | 6.51737i | 0.243396 | − | 0.421574i | −0.718284 | − | 0.695750i | \(-0.755072\pi\) |
0.961679 | + | 0.274177i | \(0.0884053\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −12.4339 | + | 3.65093i | −0.800940 | + | 0.235177i | −0.656490 | − | 0.754335i | \(-0.727959\pi\) |
−0.144450 | + | 0.989512i | \(0.546141\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −0.841254 | − | 0.540641i | −0.0539664 | − | 0.0346821i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −14.7945 | + | 1.41270i | −0.945184 | + | 0.0902542i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 6.64464 | − | 27.3896i | 0.422788 | − | 1.74276i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 4.97674 | + | 0.959188i | 0.315388 | + | 0.0607861i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −17.5290 | + | 13.7849i | −1.10642 | + | 0.870097i | −0.992360 | − | 0.123377i | \(-0.960628\pi\) |
−0.114059 | + | 0.993474i | \(0.536385\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0.162297 | − | 0.187300i | 0.0102035 | − | 0.0117755i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −0.0140959 | + | 0.295910i | −0.000882720 | + | 0.0185306i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 6.85758 | − | 6.53869i | 0.427764 | − | 0.407872i | −0.445374 | − | 0.895344i | \(-0.646929\pi\) |
0.873138 | + | 0.487472i | \(0.162081\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −0.735810 | − | 0.849170i | −0.0457210 | − | 0.0527649i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0.397730 | − | 0.0766562i | 0.0246189 | − | 0.00474490i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 15.6817 | + | 4.60455i | 0.966972 | + | 0.283929i | 0.726836 | − | 0.686811i | \(-0.240990\pi\) |
0.240136 | + | 0.970739i | \(0.422808\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 5.89791 | − | 12.9146i | 0.362306 | − | 0.793338i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −3.02375 | −0.185050 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −3.53092 | −0.215284 | −0.107642 | − | 0.994190i | \(-0.534330\pi\) | ||||
−0.107642 | + | 0.994190i | \(0.534330\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 5.58754 | − | 12.2350i | 0.339419 | − | 0.743224i | −0.660553 | − | 0.750780i | \(-0.729678\pi\) |
0.999971 | + | 0.00755614i | \(0.00240522\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 2.80256 | + | 0.822905i | 0.169618 | + | 0.0498045i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −0.722642 | + | 0.139278i | −0.0435769 | + | 0.00839876i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −12.4578 | − | 14.3771i | −0.748519 | − | 0.863838i | 0.245904 | − | 0.969294i | \(-0.420915\pi\) |
−0.994424 | + | 0.105457i | \(0.966370\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 3.25855 | − | 3.10702i | 0.195084 | − | 0.186012i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −1.29052 | + | 27.0914i | −0.0769860 | + | 1.61614i | 0.548672 | + | 0.836038i | \(0.315134\pi\) |
−0.625658 | + | 0.780098i | \(0.715169\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −7.26894 | + | 8.38880i | −0.432094 | + | 0.498663i | −0.929483 | − | 0.368865i | \(-0.879747\pi\) |
0.497389 | + | 0.867527i | \(0.334292\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −8.04624 | + | 6.32763i | −0.476618 | + | 0.374817i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 1.06392 | + | 0.205054i | 0.0628014 | + | 0.0121040i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −4.00361 | + | 16.5031i | −0.235507 | + | 0.970772i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −10.9091 | + | 1.04169i | −0.639504 | + | 0.0610652i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −9.12464 | − | 5.86405i | −0.533067 | − | 0.342581i | 0.246255 | − | 0.969205i | \(-0.420800\pi\) |
−0.779322 | + | 0.626624i | \(0.784436\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 20.5001 | − | 6.01937i | 1.19356 | − | 0.350461i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 2.08809 | − | 3.61668i | 0.121163 | − | 0.209861i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −0.0170757 | − | 0.358463i | −0.000987513 | − | 0.0207305i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 1.40418 | + | 4.05711i | 0.0809355 | + | 0.233848i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −2.27689 | − | 0.217416i | −0.130804 | − | 0.0124903i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 4.69280 | + | 8.12817i | 0.268709 | + | 0.465418i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 25.9285 | + | 13.3671i | 1.47982 | + | 0.762899i | 0.993814 | − | 0.111058i | \(-0.0354239\pi\) |
0.486004 | + | 0.873957i | \(0.338454\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −8.47081 | − | 3.39120i | −0.481888 | − | 0.192919i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 3.52137 | + | 24.4917i | 0.199679 | + | 1.38880i | 0.805217 | + | 0.592980i | \(0.202049\pi\) |
−0.605538 | + | 0.795816i | \(0.707042\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −4.47873 | − | 9.80705i | −0.253153 | − | 0.554327i | 0.739802 | − | 0.672825i | \(-0.234919\pi\) |
−0.992954 | + | 0.118498i | \(0.962192\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −0.615348 | − | 0.864135i | −0.0346709 | − | 0.0486885i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 13.5378 | − | 5.41972i | 0.760359 | − | 0.304402i | 0.0411103 | − | 0.999155i | \(-0.486911\pi\) |
0.719249 | + | 0.694753i | \(0.244486\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0.398802 | + | 1.64388i | 0.0223286 | + | 0.0920398i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 1.05786 | − | 7.35758i | 0.0590440 | − | 0.410660i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 0.558762 | − | 0.288062i | 0.0310903 | − | 0.0160282i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −0.618144 | + | 0.868061i | −0.0342884 | + | 0.0481514i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 2.63278 | − | 1.69199i | 0.145593 | − | 0.0935671i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 0.399580 | + | 0.380999i | 0.0220296 | + | 0.0210051i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 6.32159 | + | 4.97136i | 0.347466 | + | 0.273250i | 0.776605 | − | 0.629988i | \(-0.216940\pi\) |
−0.429138 | + | 0.903239i | \(0.641183\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −0.760849 | + | 2.19833i | −0.0416942 | + | 0.120468i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −0.788897 | + | 17.9603i | −0.0431021 | + | 0.981273i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 6.60932 | − | 19.0964i | 0.360033 | − | 1.04025i | −0.608970 | − | 0.793194i | \(-0.708417\pi\) |
0.969002 | − | 0.247052i | \(-0.0794619\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 10.2762 | + | 8.08129i | 0.558126 | + | 0.438915i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 13.6083 | + | 12.9755i | 0.736932 | + | 0.702663i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −5.59388 | + | 3.59497i | −0.302041 | + | 0.194110i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −0.0756040 | + | 0.106171i | −0.00407038 | + | 0.00571605i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −23.5321 | + | 12.1316i | −1.26327 | + | 0.651261i | −0.954026 | − | 0.299722i | \(-0.903106\pi\) |
−0.309243 | + | 0.950983i | \(0.600076\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 4.25964 | − | 29.6264i | 0.228013 | − | 1.58587i | −0.478449 | − | 0.878115i | \(-0.658801\pi\) |
0.706462 | − | 0.707750i | \(-0.250290\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −1.42569 | − | 5.87676i | −0.0760975 | − | 0.313678i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 19.7201 | − | 7.89475i | 1.04960 | − | 0.420195i | 0.218217 | − | 0.975900i | \(-0.429976\pi\) |
0.831379 | + | 0.555705i | \(0.187552\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 7.58287 | + | 10.6487i | 0.402457 | + | 0.565172i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0.0270643 | + | 0.0592625i | 0.00143239 | + | 0.00313650i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −4.37756 | − | 30.4466i | −0.231039 | − | 1.60691i | −0.693625 | − | 0.720337i | \(-0.743987\pi\) |
0.462586 | − | 0.886575i | \(-0.346922\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 2.52679 | + | 1.01157i | 0.132989 | + | 0.0532407i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 5.72458 | + | 2.95123i | 0.300463 | + | 0.154899i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −7.72980 | − | 13.3884i | −0.404596 | − | 0.700781i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −3.77148 | − | 0.360133i | −0.196870 | − | 0.0187988i | −0.00384471 | − | 0.999993i | \(-0.501224\pi\) |
−0.193025 | + | 0.981194i | \(0.561830\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −0.733689 | − | 2.11985i | −0.0381943 | − | 0.110355i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −0.148566 | − | 3.11879i | −0.00771318 | − | 0.161920i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −13.3966 | + | 23.2035i | −0.693648 | + | 1.20143i | 0.276987 | + | 0.960874i | \(0.410664\pi\) |
−0.970634 | + | 0.240559i | \(0.922669\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 10.9081 | − | 3.20290i | 0.563291 | − | 0.165397i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 2.06059 | + | 1.32426i | 0.106126 | + | 0.0682029i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 36.7380 | − | 3.50806i | 1.88711 | − | 0.180197i | 0.913256 | − | 0.407386i | \(-0.133560\pi\) |
0.973851 | + | 0.227189i | \(0.0729535\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 2.26248 | − | 9.32607i | 0.115910 | − | 0.477789i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −36.3599 | − | 7.00779i | −1.85790 | − | 0.358082i | −0.867629 | − | 0.497211i | \(-0.834357\pi\) |
−0.990274 | + | 0.139130i | \(0.955569\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 3.48243 | − | 2.73861i | 0.177481 | − | 0.139573i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 5.82072 | − | 6.71746i | 0.295884 | − | 0.341468i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −0.170793 | + | 3.58538i | −0.00865953 | + | 0.181786i | 0.990394 | + | 0.138277i | \(0.0441566\pi\) |
−0.999053 | + | 0.0435084i | \(0.986146\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0.00579318 | − | 0.00552379i | 0.000292974 | − | 0.000279350i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −5.49987 | − | 6.34718i | −0.277432 | − | 0.320173i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −16.5349 | + | 3.18684i | −0.831962 | + | 0.160347i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 13.0116 | + | 3.82054i | 0.653032 | + | 0.191748i | 0.591434 | − | 0.806353i | \(-0.298562\pi\) |
0.0615983 | + | 0.998101i | \(0.480380\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −0.935161 | + | 2.04772i | −0.0468166 | + | 0.102514i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 7.02365 | 0.350744 | 0.175372 | − | 0.984502i | \(-0.443887\pi\) | ||||
0.175372 | + | 0.984502i | \(0.443887\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 27.2271 | 1.35628 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −0.912380 | + | 1.99783i | −0.0453365 | + | 0.0992732i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −9.32142 | − | 2.73702i | −0.462046 | − | 0.135669i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −22.4899 | + | 4.33457i | −1.11205 | + | 0.214331i | −0.712013 | − | 0.702167i | \(-0.752216\pi\) |
−0.400041 | + | 0.916497i | \(0.631004\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 14.8071 | + | 17.0883i | 0.730380 | + | 0.842903i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 3.40060 | − | 3.24247i | 0.167333 | − | 0.159551i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 0.529664 | − | 11.1190i | 0.0260002 | − | 0.545811i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 6.64656 | − | 7.67054i | 0.325483 | − | 0.375628i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 11.6102 | − | 9.13039i | 0.567197 | − | 0.446049i | −0.292926 | − | 0.956135i | \(-0.594629\pi\) |
0.860123 | + | 0.510086i | \(0.170387\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −4.52663 | − | 0.872437i | −0.220614 | − | 0.0425200i | 0.0777461 | − | 0.996973i | \(-0.475228\pi\) |
−0.298361 | + | 0.954453i | \(0.596440\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 0.269486 | − | 1.11084i | 0.0131029 | − | 0.0540107i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −0.0236619 | + | 0.00225944i | −0.00114777 | + | 0.000109599i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 1.73641 | + | 1.11592i | 0.0840307 | + | 0.0540033i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 24.2314 | − | 7.11497i | 1.16990 | − | 0.343514i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 5.60380 | − | 9.70606i | 0.269925 | − | 0.467525i | −0.698917 | − | 0.715203i | \(-0.746334\pi\) |
0.968842 | + | 0.247678i | \(0.0796676\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 1.01682 | + | 21.3457i | 0.0488652 | + | 1.02581i | 0.881559 | + | 0.472073i | \(0.156494\pi\) |
−0.832694 | + | 0.553733i | \(0.813203\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −0.290965 | − | 0.840688i | −0.0139507 | − | 0.0403079i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 0.275332 | + | 0.0262910i | 0.0131709 | + | 0.00125767i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −8.96338 | − | 15.5250i | −0.427799 | − | 0.740969i | 0.568878 | − | 0.822422i | \(-0.307377\pi\) |
−0.996677 | + | 0.0814524i | \(0.974044\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 6.01448 | + | 3.10068i | 0.286404 | + | 0.147652i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −8.06760 | − | 3.22978i | −0.383303 | − | 0.153451i | 0.172005 | − | 0.985096i | \(-0.444975\pi\) |
−0.555308 | + | 0.831645i | \(0.687400\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0.945125 | + | 6.57349i | 0.0448032 | + | 0.311613i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −8.12585 | − | 17.7931i | −0.384340 | − | 0.841587i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 21.3969 | + | 30.0478i | 1.00978 | + | 1.41804i | 0.905918 | + | 0.423452i | \(0.139182\pi\) |
0.103866 | + | 0.994591i | \(0.466879\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 8.69709 | − | 3.48179i | 0.409530 | − | 0.163951i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −0.651905 | − | 2.68719i | −0.0306292 | − | 0.126255i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 0.912969 | − | 6.34984i | 0.0428007 | − | 0.297685i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 8.79847 | − | 4.53593i | 0.411575 | − | 0.212182i | −0.239989 | − | 0.970776i | \(-0.577144\pi\) |
0.651564 | + | 0.758594i | \(0.274113\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 0.0782399 | − | 0.109873i | 0.00365193 | − | 0.00512841i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 24.3709 | − | 15.6623i | 1.13507 | − | 0.729464i | 0.168456 | − | 0.985709i | \(-0.446122\pi\) |
0.966612 | + | 0.256245i | \(0.0824854\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −4.62922 | − | 4.41396i | −0.215138 | − | 0.205134i | 0.574845 | − | 0.818262i | \(-0.305062\pi\) |
−0.789983 | + | 0.613128i | \(0.789911\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −7.77304 | − | 6.11278i | −0.360466 | − | 0.283474i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −2.20524 | + | 6.37162i | −0.102046 | + | 0.294844i | −0.984454 | − | 0.175642i | \(-0.943800\pi\) |
0.882408 | + | 0.470485i | \(0.155921\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 1.65570 | + | 3.59022i | 0.0764530 | + | 0.165781i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 5.33862 | − | 15.4249i | 0.245991 | − | 0.710744i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 29.1783 | + | 22.9460i | 1.34162 | + | 1.05506i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −0.594414 | − | 0.566773i | −0.0272736 | − | 0.0260053i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −5.43812 | + | 3.49487i | −0.248995 | + | 0.160019i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −17.7194 | + | 24.8834i | −0.809620 | + | 1.13695i | 0.178602 | + | 0.983921i | \(0.442843\pi\) |
−0.988221 | + | 0.153030i | \(0.951097\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −12.5037 | + | 6.44609i | −0.570118 | + | 0.293916i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −0.00407932 | + | 0.0283723i | −0.000185615 | + | 0.00129098i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 5.67443 | + | 23.3903i | 0.257663 | + | 1.06210i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 5.47916 | − | 2.19353i | 0.248285 | − | 0.0993982i | −0.244182 | − | 0.969729i | \(-0.578520\pi\) |
0.492467 | + | 0.870331i | \(0.336095\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −0.256041 | − | 0.359559i | −0.0115786 | − | 0.0162598i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 13.4842 | + | 29.5262i | 0.608532 | + | 1.33250i | 0.923573 | + | 0.383422i | \(0.125255\pi\) |
−0.315041 | + | 0.949078i | \(0.602018\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 0.00777529 | + | 0.0540783i | 0.000350182 | + | 0.00243557i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −8.51518 | − | 3.40896i | −0.382729 | − | 0.153222i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 2.55533 | + | 1.31737i | 0.114622 | + | 0.0590919i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 11.3516 | + | 19.6615i | 0.508166 | + | 0.880170i | 0.999955 | + | 0.00945528i | \(0.00300975\pi\) |
−0.491789 | + | 0.870714i | \(0.663657\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 8.89597 | + | 0.849462i | 0.397443 | + | 0.0379512i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −7.08610 | − | 20.4739i | −0.315953 | − | 0.912887i | −0.985434 | − | 0.170058i | \(-0.945605\pi\) |
0.669481 | − | 0.742829i | \(-0.266517\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 0.239028 | + | 5.01781i | 0.0106366 | + | 0.223290i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 11.7844 | − | 20.4113i | 0.523365 | − | 0.906496i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −7.97886 | + | 2.34280i | −0.353657 | + | 0.103843i | −0.453735 | − | 0.891137i | \(-0.649909\pi\) |
0.100079 | + | 0.994980i | \(0.468091\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −2.86015 | − | 1.83810i | −0.126525 | − | 0.0813129i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 4.63956 | − | 0.443024i | 0.204841 | − | 0.0195600i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −4.72462 | + | 19.4751i | −0.208192 | + | 0.858177i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 4.68736 | + | 0.903414i | 0.206150 | + | 0.0397321i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 19.1300 | − | 15.0440i | 0.839715 | − | 0.660359i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 20.3842 | − | 23.5246i | 0.893047 | − | 1.03063i | −0.106294 | − | 0.994335i | \(-0.533898\pi\) |
0.999341 | − | 0.0362968i | \(-0.0115562\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 1.86562 | − | 39.1641i | 0.0815777 | − | 1.71253i | −0.473555 | − | 0.880764i | \(-0.657029\pi\) |
0.555133 | − | 0.831762i | \(-0.312667\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0.0616025 | − | 0.0587379i | 0.00268855 | − | 0.00256353i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 0.397697 | + | 0.458966i | 0.0173239 | + | 0.0199929i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −22.5809 | + | 4.35211i | −0.981778 | + | 0.189222i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −9.33388 | − | 2.74067i | −0.405056 | − | 0.118935i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 5.63523 | − | 12.3394i | 0.244089 | − | 0.534480i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −16.3257 | −0.705822 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 6.48911 | 0.280026 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −11.7392 | + | 25.7053i | −0.505644 | + | 1.10721i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 35.3740 | + | 10.3867i | 1.52085 | + | 0.446561i | 0.932234 | − | 0.361855i | \(-0.117857\pi\) |
0.588612 | + | 0.808416i | \(0.299675\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −19.7052 | + | 3.79787i | −0.845631 | + | 0.162982i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −4.50122 | − | 5.19469i | −0.192811 | − | 0.222516i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −6.00022 | + | 5.72120i | −0.256551 | + | 0.244621i | −0.807429 | − | 0.589965i | \(-0.799141\pi\) |
0.550878 | + | 0.834586i | \(0.314293\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 0.203334 | − | 4.26851i | 0.00867809 | − | 0.182176i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −1.23625 | + | 1.42670i | −0.0526659 | + | 0.0607797i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −2.91096 | + | 2.28921i | −0.123787 | + | 0.0973470i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 5.01688 | + | 0.966925i | 0.212955 | + | 0.0410437i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 2.26395 | − | 9.33212i | 0.0959265 | − | 0.395414i | −0.903525 | − | 0.428536i | \(-0.859030\pi\) |
0.999451 | + | 0.0331213i | \(0.0105448\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 53.5072 | − | 5.10932i | 2.26311 | − | 0.216101i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0.473876 | + | 0.304542i | 0.0200071 | + | 0.0128578i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −0.582858 | + | 0.171143i | −0.0245645 | + | 0.00721280i | −0.293992 | − | 0.955808i | \(-0.594984\pi\) |
0.269427 | + | 0.963021i | \(0.413166\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 14.3563 | − | 24.8659i | 0.603976 | − | 1.04612i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 0.0229826 | + | 0.482463i | 0.000965177 | + | 0.0202616i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 10.8527 | + | 31.3569i | 0.454970 | + | 1.31455i | 0.906467 | + | 0.422276i | \(0.138769\pi\) |
−0.451497 | + | 0.892272i | \(0.649110\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −20.9268 | − | 1.99827i | −0.875759 | − | 0.0836249i | −0.352513 | − | 0.935807i | \(-0.614673\pi\) |
−0.523246 | + | 0.852182i | \(0.675279\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 3.62656 | + | 6.28138i | 0.151502 | + | 0.262409i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −0.00929533 | − | 0.00479208i | −0.000387642 | − | 0.000199843i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −8.04078 | − | 3.21904i | −0.334742 | − | 0.134010i | 0.198202 | − | 0.980161i | \(-0.436490\pi\) |
−0.532944 | + | 0.846151i | \(0.678914\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −0.356429 | − | 2.47902i | −0.0148127 | − | 0.103024i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −1.01696 | − | 2.22683i | −0.0421906 | − | 0.0923846i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −15.6593 | − | 21.9904i | −0.648543 | − | 0.910751i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −12.3302 | + | 4.93626i | −0.509790 | + | 0.204089i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 8.01395 | + | 33.0339i | 0.330771 | + | 1.36346i | 0.857964 | + | 0.513711i | \(0.171730\pi\) |
−0.527193 | + | 0.849746i | \(0.676755\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −2.98637 | + | 20.7706i | −0.123051 | + | 0.855839i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −17.8634 | + | 9.20920i | −0.734800 | + | 0.378816i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −10.1218 | + | 14.2141i | −0.415654 | + | 0.583704i | −0.968324 | − | 0.249696i | \(-0.919669\pi\) |
0.552671 | + | 0.833400i | \(0.313609\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0.120375 | − | 0.0773600i | 0.00493488 | − | 0.00317145i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 11.1291 | + | 10.6116i | 0.455486 | + | 0.434305i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −34.2984 | − | 26.9726i | −1.40140 | − | 1.10207i | −0.980843 | − | 0.194802i | \(-0.937594\pi\) |
−0.420553 | − | 0.907268i | \(-0.638164\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −7.55287 | + | 21.8226i | −0.308088 | + | 0.890162i | 0.679580 | + | 0.733601i | \(0.262162\pi\) |
−0.987668 | + | 0.156561i | \(0.949959\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 4.72324 | − | 6.68513i | 0.192345 | − | 0.272240i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 4.62652 | − | 13.3674i | 0.188095 | − | 0.543464i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −29.0363 | − | 22.8344i | −1.17855 | − | 0.926818i | −0.180161 | − | 0.983637i | \(-0.557662\pi\) |
−0.998384 | + | 0.0568190i | \(0.981904\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −0.141594 | − | 0.135009i | −0.00573767 | − | 0.00547086i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 5.81501 | − | 3.73708i | 0.235250 | − | 0.151186i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 8.07328 | − | 11.3373i | 0.326077 | − | 0.457911i | −0.618699 | − | 0.785628i | \(-0.712340\pi\) |
0.944776 | + | 0.327717i | \(0.106279\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −4.37914 | + | 2.25760i | −0.176584 | + | 0.0910353i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −1.59780 | + | 11.1129i | −0.0643250 | + | 0.447390i | 0.932051 | + | 0.362328i | \(0.118018\pi\) |
−0.996376 | + | 0.0850622i | \(0.972891\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 6.10170 | + | 25.1516i | 0.245248 | + | 1.01093i | 0.952639 | + | 0.304104i | \(0.0983570\pi\) |
−0.707391 | + | 0.706823i | \(0.750128\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0.0550936 | − | 0.0220561i | 0.00221083 | − | 0.000885082i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 0.847174 | + | 1.18969i | 0.0339413 | + | 0.0476639i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −10.0064 | − | 21.9111i | −0.400258 | − | 0.876442i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 2.76999 | + | 19.2657i | 0.110623 | + | 0.769397i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −0.291298 | − | 0.116618i | −0.0116148 | − | 0.00464988i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 6.57686 | + | 3.39060i | 0.261821 | + | 0.134978i | 0.584140 | − | 0.811653i | \(-0.301432\pi\) |
−0.322319 | + | 0.946631i | \(0.604462\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −6.73333 | − | 11.6625i | −0.267626 | − | 0.463542i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −20.9816 | − | 2.00350i | −0.832631 | − | 0.0795066i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 13.3835 | + | 38.6692i | 0.530275 | + | 1.53213i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −0.283212 | − | 5.94535i | −0.0112037 | − | 0.235194i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −10.7777 | + | 18.6676i | −0.425695 | + | 0.737326i | −0.996485 | − | 0.0837702i | \(-0.973304\pi\) |
0.570790 | + | 0.821096i | \(0.306637\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −43.4029 | + | 12.7442i | −1.71164 | + | 0.502583i | −0.983201 | − | 0.182526i | \(-0.941573\pi\) |
−0.728440 | + | 0.685109i | \(0.759755\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −16.4228 | − | 10.5543i | −0.646648 | − | 0.415576i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −47.0520 | + | 4.49292i | −1.84980 | + | 0.176635i | −0.960055 | − | 0.279813i | \(-0.909728\pi\) |
−0.889750 | + | 0.456448i | \(0.849121\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 9.57786 | − | 39.4805i | 0.375964 | − | 1.54974i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −2.13541 | − | 0.411567i | −0.0836934 | − | 0.0161306i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −7.81203 | + | 6.14345i | −0.305708 | + | 0.240412i | −0.759213 | − | 0.650842i | \(-0.774416\pi\) |
0.453505 | + | 0.891254i | \(0.350174\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −12.0794 | + | 13.9404i | −0.471982 | + | 0.544696i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −0.334924 | + | 7.03092i | −0.0130666 | + | 0.274302i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −9.76423 | + | 9.31018i | −0.380361 | + | 0.362673i | −0.856008 | − | 0.516963i | \(-0.827062\pi\) |
0.475647 | + | 0.879636i | \(0.342214\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 13.3705 | + | 15.4303i | 0.520051 | + | 0.600171i | 0.953644 | − | 0.300938i | \(-0.0972998\pi\) |
−0.433593 | + | 0.901109i | \(0.642754\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 0.800928 | − | 0.154366i | 0.0311055 | − | 0.00599509i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 4.74394 | + | 1.39295i | 0.183962 | + | 0.0540162i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −0.00998554 | + | 0.0218653i | −0.000386642 | + | 0.000846627i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 5.09166 | 0.196855 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 17.8463 | 0.688949 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 7.65772 | − | 16.7681i | 0.295183 | − | 0.646362i | −0.702693 | − | 0.711493i | \(-0.748019\pi\) |
0.997877 | + | 0.0651314i | \(0.0207467\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −0.169085 | − | 0.0496478i | −0.00650808 | − | 0.00191094i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −40.7653 | + | 7.85687i | −1.56674 | + | 0.301964i | −0.897477 | − | 0.441062i | \(-0.854602\pi\) |
−0.669262 | + | 0.743026i | \(0.733390\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 3.46630 | + | 4.00032i | 0.133024 | + | 0.153518i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −12.6054 | + | 12.0192i | −0.483038 | + | 0.460576i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −2.10518 | + | 44.1931i | −0.0805523 | + | 1.69100i | 0.491575 | + | 0.870835i | \(0.336421\pi\) |
−0.572127 | + | 0.820165i | \(0.693882\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 32.5209 | − | 37.5312i | 1.24256 | − | 1.43399i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −3.80480 | + | 2.99213i | −0.145162 | + | 0.114157i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −38.3847 | − | 7.39804i | −1.46234 | − | 0.281843i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 1.46240 | − | 6.02809i | 0.0556323 | − | 0.229320i | −0.937208 | − | 0.348772i | \(-0.886599\pi\) |
0.992840 | + | 0.119452i | \(0.0381139\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −2.00801 | + | 0.191742i | −0.0762779 | + | 0.00728366i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −18.7529 | − | 12.0518i | −0.711338 | − | 0.457149i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 0.290318 | − | 0.0852449i | 0.0109966 | − | 0.00322888i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 2.18071 | − | 3.77711i | 0.0824822 | − | 0.142863i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −1.35044 | − | 28.3492i | −0.0510054 | − | 1.07073i | −0.868781 | − | 0.495197i | \(-0.835096\pi\) |
0.817775 | − | 0.575537i | \(-0.195207\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −3.54606 | − | 10.2457i | −0.133742 | − | 0.386422i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −2.49914 | − | 0.238639i | −0.0941231 | − | 0.00898766i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 0.552382 | + | 0.956753i | 0.0207745 | + | 0.0359824i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −3.50226 | − | 1.80554i | −0.131530 | − | 0.0678085i | 0.391205 | − | 0.920303i | \(-0.372058\pi\) |
−0.522736 | + | 0.852495i | \(0.675088\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 7.11784 | + | 2.84955i | 0.266940 | + | 0.106867i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 0.0380256 | + | 0.264474i | 0.00142407 | + | 0.00990463i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −23.0415 | − | 50.4540i | −0.861705 | − | 1.88687i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 4.36529 | + | 6.13019i | 0.163025 | + | 0.228936i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −14.2817 | + | 5.71755i | −0.532619 | + | 0.213229i | −0.622352 | − | 0.782737i | \(-0.713823\pi\) |
0.0897330 | + | 0.995966i | \(0.471399\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 1.03903 | + | 4.28296i | 0.0386956 | + | 0.159506i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 1.84424 | − | 12.8270i | 0.0685879 | − | 0.477039i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 0.0634444 | − | 0.0327079i | 0.00235627 | − | 0.00121474i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −5.98223 | + | 8.40087i | −0.221869 | + | 0.311571i | −0.910475 | − | 0.413565i | \(-0.864284\pi\) |
0.688606 | + | 0.725136i | \(0.258223\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0.841254 | − | 0.540641i | 0.0311575 | − | 0.0200237i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 0.867689 | + | 0.827340i | 0.0320926 | + | 0.0306003i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −39.2262 | − | 30.8478i | −1.44885 | − | 1.13939i | −0.964360 | − | 0.264593i | \(-0.914762\pi\) |
−0.484491 | − | 0.874796i | \(-0.660995\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 4.86081 | − | 14.0444i | 0.179294 | − | 0.518035i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 28.8253 | + | 18.3744i | 1.06179 | + | 0.676830i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 12.0190 | − | 34.7268i | 0.442128 | − | 1.27744i | −0.475399 | − | 0.879770i | \(-0.657696\pi\) |
0.917527 | − | 0.397674i | \(-0.130182\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 22.1542 | + | 17.4222i | 0.813853 | + | 0.640021i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 14.7421 | + | 14.0565i | 0.540834 | + | 0.515684i | 0.910516 | − | 0.413474i | \(-0.135685\pi\) |
−0.369682 | + | 0.929158i | \(0.620533\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −36.1416 | + | 23.2268i | −1.32413 | + | 0.850964i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −2.93992 | + | 4.12854i | −0.107566 | + | 0.151055i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −3.19122 | + | 1.64519i | −0.116604 | + | 0.0601138i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −0.557020 | + | 3.87416i | −0.0203260 | + | 0.141370i | −0.997457 | − | 0.0712664i | \(-0.977296\pi\) |
0.977131 | + | 0.212637i | \(0.0682050\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −5.25742 | − | 21.6714i | −0.191591 | − | 0.789749i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −5.63806 | + | 2.25714i | −0.205190 | + | 0.0821457i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 14.6848 | + | 20.6219i | 0.533727 | + | 0.749514i | 0.990114 | − | 0.140267i | \(-0.0447961\pi\) |
−0.456387 | + | 0.889781i | \(0.650857\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 0.102954 | + | 0.225438i | 0.00373699 | + | 0.00818287i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −1.41798 | − | 9.86226i | −0.0514017 | − | 0.357507i | −0.999248 | − | 0.0387784i | \(-0.987653\pi\) |
0.947846 | − | 0.318728i | \(-0.103256\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −1.40335 | − | 0.561815i | −0.0508045 | − | 0.0203391i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −0.263313 | − | 0.135747i | −0.00952011 | − | 0.00490796i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −29.4135 | − | 50.9456i | −1.06206 | − | 1.83954i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 39.4517 | + | 3.76719i | 1.42267 | + | 0.135848i | 0.777831 | − | 0.628473i | \(-0.216320\pi\) |
0.644835 | + | 0.764322i | \(0.276926\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 3.09906 | + | 8.95414i | 0.111610 | + | 0.322476i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −0.911187 | − | 19.1282i | −0.0327731 | − | 0.687992i | −0.954151 | − | 0.299325i | \(-0.903239\pi\) |
0.921378 | − | 0.388667i | \(-0.127064\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 0.396715 | − | 0.687130i | 0.0142504 | − | 0.0246824i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 1.07810 | − | 0.316558i | 0.0386766 | − | 0.0113565i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 8.79525 | + | 5.65236i | 0.315122 | + | 0.202517i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 24.7445 | − | 2.36281i | 0.885427 | − | 0.0845481i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −0.0954942 | + | 0.393632i | −0.00341268 | + | 0.0140673i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −35.2018 | − | 6.78459i | −1.25641 | − | 0.242152i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 15.9450 | − | 12.5393i | 0.568377 | − | 0.446977i | −0.292156 | − | 0.956371i | \(-0.594373\pi\) |
0.860534 | + | 0.509394i | \(0.170130\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −10.7028 | + | 12.3517i | −0.381031 | + | 0.439733i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 0.300455 | − | 6.30732i | 0.0106829 | − | 0.224262i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 18.7027 | − | 17.8330i | 0.664151 | − | 0.633267i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 9.29747 | + | 10.7298i | 0.329747 | + | 0.380549i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 34.6202 | − | 6.67250i | 1.22631 | − | 0.236352i | 0.465336 | − | 0.885134i | \(-0.345933\pi\) |
0.760974 | + | 0.648782i | \(0.224721\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0.147934 | + | 0.0434373i | 0.00523352 | + | 0.00153670i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 1.25611 | − | 2.75050i | 0.0443824 | − | 0.0971840i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −29.3958 | −1.03735 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0.0629551 | 0.00221888 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 1.46680 | − | 3.21184i | 0.0516337 | − | 0.113062i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 32.6671 | + | 9.59193i | 1.14851 | + | 0.337234i | 0.799960 | − | 0.600054i | \(-0.204854\pi\) |
0.348555 | + | 0.937288i | \(0.386672\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −27.3121 | + | 5.26398i | −0.959059 | + | 0.184843i | −0.644679 | − | 0.764454i | \(-0.723009\pi\) |
−0.314380 | + | 0.949297i | \(0.601797\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 8.80820 | + | 10.1652i | 0.308917 | + | 0.356509i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −0.701636 | + | 0.669008i | −0.0245772 | + | 0.0234343i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −1.97114 | + | 41.3793i | −0.0689614 | + | 1.44768i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −1.91276 | + | 2.20745i | −0.0668374 | + | 0.0771345i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −14.8838 | + | 11.7048i | −0.519449 | + | 0.408499i | −0.843165 | − | 0.537655i | \(-0.819310\pi\) |
0.323716 | + | 0.946154i | \(0.395068\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −53.4499 | − | 10.3016i | −1.86315 | − | 0.359092i | −0.871746 | − | 0.489958i | \(-0.837012\pi\) |
−0.991400 | + | 0.130866i | \(0.958224\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 0.173505 | − | 0.715196i | 0.00604066 | − | 0.0248999i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 18.8888 | − | 1.80366i | 0.656829 | − | 0.0627196i | 0.238680 | − | 0.971098i | \(-0.423285\pi\) |
0.418149 | + | 0.908379i | \(0.362679\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 0.895691 | + | 0.575626i | 0.0311086 | + | 0.0199923i | 0.556103 | − | 0.831114i | \(-0.312296\pi\) |
−0.524994 | + | 0.851106i | \(0.675932\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 18.2531 | − | 5.35958i | 0.633192 | − | 0.185922i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −0.456357 | + | 0.790433i | −0.0158118 | + | 0.0273869i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −0.933899 | − | 19.6049i | −0.0323189 | − | 0.678457i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 1.47259 | + | 4.25478i | 0.0509003 | + | 0.147067i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 3.85479 | + | 0.368088i | 0.133082 | + | 0.0127078i | 0.161385 | − | 0.986892i | \(-0.448404\pi\) |
−0.0283023 | + | 0.999599i | \(0.509010\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 14.4180 | + | 24.9727i | 0.497171 | + | 0.861126i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −24.1071 | − | 12.4281i | −0.830292 | − | 0.428045i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −48.0566 | − | 19.2389i | −1.65320 | − | 0.661840i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −0.442720 | − | 3.07919i | −0.0152120 | − | 0.105802i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −4.61110 | − | 10.0969i | −0.158252 | − | 0.346525i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −0.0800777 | − | 0.112453i | −0.00274503 | − | 0.00385485i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −22.6643 | + | 9.07343i | −0.776012 | + | 0.310668i | −0.725651 | − | 0.688063i | \(-0.758461\pi\) |
−0.0503609 | + | 0.998731i | \(0.516037\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −2.41329 | − | 9.94771i | −0.0825327 | − | 0.340204i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −4.05987 | + | 28.2370i | −0.138683 | + | 0.964558i | 0.795039 | + | 0.606558i | \(0.207450\pi\) |
−0.933722 | + | 0.358000i | \(0.883459\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −40.6918 | + | 20.9781i | −1.38839 | + | 0.715762i | −0.980361 | − | 0.197209i | \(-0.936812\pi\) |
−0.408024 | + | 0.912971i | \(0.633782\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −0.628494 | + | 0.882596i | −0.0214190 | + | 0.0300788i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 32.3334 | − | 20.7794i | 1.10064 | − | 0.707339i | 0.141406 | − | 0.989952i | \(-0.454838\pi\) |
0.959234 | + | 0.282613i | \(0.0912012\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −38.6844 | − | 36.8855i | −1.31531 | − | 1.25415i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −13.3486 | − | 10.4975i | −0.453342 | − | 0.356512i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −10.4724 | + | 30.2580i | −0.355252 | + | 1.02643i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 48.5691 | − | 9.54762i | 1.64570 | − | 0.323509i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 3.58425 | − | 10.3560i | 0.121309 | − | 0.350498i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −4.31633 | − | 3.39440i | −0.145919 | − | 0.114752i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 4.56228 | + | 4.35012i | 0.154057 | + | 0.146893i | 0.763188 | − | 0.646177i | \(-0.223633\pi\) |
−0.609131 | + | 0.793070i | \(0.708482\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 9.12464 | − | 5.86405i | 0.307766 | − | 0.197789i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 19.4370 | − | 27.2954i | 0.654849 | − | 0.919606i | −0.344971 | − | 0.938613i | \(-0.612111\pi\) |
0.999819 | + | 0.0190074i | \(0.00605059\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −37.0848 | + | 19.1185i | −1.24800 | + | 0.643389i | −0.950320 | − | 0.311276i | \(-0.899244\pi\) |
−0.297682 | + | 0.954665i | \(0.596213\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −3.04063 | + | 21.1481i | −0.102210 | + | 0.710885i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 2.80108 | + | 11.5462i | 0.0940511 | + | 0.387684i | 0.999309 | − | 0.0371794i | \(-0.0118373\pi\) |
−0.905257 | + | 0.424863i | \(0.860322\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −4.30322 | + | 1.72275i | −0.144325 | + | 0.0577792i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 2.42243 | + | 3.40182i | 0.0811543 | + | 0.113965i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 2.21308 | + | 4.84598i | 0.0740580 | + | 0.162164i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −2.02828 | − | 14.1070i | −0.0677981 | − | 0.471546i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0.333163 | + | 0.133378i | 0.0111240 | + | 0.00445337i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −1.62097 | − | 0.835669i | −0.0540624 | − | 0.0278711i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −0.435963 | − | 0.755110i | −0.0145240 | − | 0.0251564i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −4.27379 | − | 0.408097i | −0.142223 | − | 0.0135806i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 14.4156 | + | 41.6511i | 0.479190 | + | 1.38453i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 1.80108 | + | 37.8093i | 0.0598038 | + | 1.25544i | 0.806887 | + | 0.590706i | \(0.201151\pi\) |
−0.747083 | + | 0.664730i | \(0.768546\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 1.14362 | − | 1.98081i | 0.0379316 | − | 0.0656994i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 54.6745 | − | 16.0539i | 1.81145 | − | 0.531889i | 0.812737 | − | 0.582631i | \(-0.197977\pi\) |
0.998712 | + | 0.0507418i | \(0.0161586\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −17.8062 | − | 11.4434i | −0.589300 | − | 0.378720i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −9.34310 | + | 0.892158i | −0.308873 | + | 0.0294938i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −0.956374 | + | 3.94223i | −0.0315823 | + | 0.130184i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −14.1163 | − | 2.72070i | −0.465655 | − | 0.0897476i | −0.0489731 | − | 0.998800i | \(-0.515595\pi\) |
−0.416682 | + | 0.909053i | \(0.636807\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −22.9302 | + | 18.0325i | −0.755576 | + | 0.594191i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 23.5708 | − | 27.2021i | 0.775842 | − | 0.895369i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −0.0195059 | + | 0.409478i | −0.000641349 | + | 0.0134636i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 6.60365 | − | 6.29657i | 0.216892 | − | 0.206806i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 3.05102 | + | 3.52107i | 0.100101 | + | 0.115522i | 0.803589 | − | 0.595184i | \(-0.202921\pi\) |
−0.703489 | + | 0.710707i | \(0.748375\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −30.9674 | + | 5.96847i | −1.01491 | + | 0.195609i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −23.7413 | − | 6.97106i | −0.777254 | − | 0.228222i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 0.513941 | − | 1.12537i | 0.0168077 | − | 0.0368037i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −6.91009 | −0.225743 | −0.112871 | − | 0.993610i | \(-0.536005\pi\) | ||||
−0.112871 | + | 0.993610i | \(0.536005\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 10.7813 | 0.351836 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 3.92553 | − | 8.59570i | 0.127968 | − | 0.280212i | −0.834793 | − | 0.550564i | \(-0.814413\pi\) |
0.962762 | + | 0.270352i | \(0.0871401\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 0.127731 | + | 0.0375052i | 0.00415949 | + | 0.00122134i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 1.04167 | − | 0.200765i | 0.0338855 | − | 0.00653090i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −7.20056 | − | 8.30989i | −0.233987 | − | 0.270035i | 0.626598 | − | 0.779343i | \(-0.284447\pi\) |
−0.860584 | + | 0.509308i | \(0.829901\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −30.8063 | + | 29.3737i | −1.00001 | + | 0.953512i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −0.693857 | + | 14.5659i | −0.0224999 | + | 0.472330i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 20.7017 | − | 23.8910i | 0.670593 | − | 0.773906i | −0.313876 | − | 0.949464i | \(-0.601628\pi\) |
0.984469 | + | 0.175558i | \(0.0561730\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 12.5219 | − | 9.84733i | 0.405199 | − | 0.318652i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −1.66100 | − | 0.320131i | −0.0536924 | − | 0.0103484i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 2.57481 | − | 10.6135i | 0.0831450 | − | 0.342728i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 10.6797 | − | 1.01979i | 0.344507 | − | 0.0328964i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 6.25324 | + | 4.01871i | 0.201508 | + | 0.129501i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −5.27787 | + | 1.54972i | −0.169900 | + | 0.0498873i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 18.8016 | − | 32.5653i | 0.604617 | − | 1.04723i | −0.387495 | − | 0.921872i | \(-0.626659\pi\) |
0.992112 | − | 0.125356i | \(-0.0400073\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 0.0299121 | + | 0.627932i | 0.000960915 | + | 0.0201721i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −10.4034 | − | 30.0586i | −0.333860 | − | 0.964626i | −0.979581 | − | 0.201052i | \(-0.935564\pi\) |
0.645720 | − | 0.763574i | \(-0.276557\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −4.88015 | − | 0.465998i | −0.156451 | − | 0.0149392i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −0.532830 | − | 0.922889i | −0.0170642 | − | 0.0295561i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −8.62459 | − | 4.44629i | −0.275925 | − | 0.142249i | 0.314710 | − | 0.949188i | \(-0.398093\pi\) |
−0.590636 | + | 0.806938i | \(0.701123\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 11.7232 | + | 4.69325i | 0.374674 | + | 0.149997i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0.445388 | + | 3.09774i | 0.0142201 | + | 0.0989032i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −9.57327 | − | 20.9625i | −0.305340 | − | 0.668601i | 0.693305 | − | 0.720644i | \(-0.256154\pi\) |
−0.998645 | + | 0.0520434i | \(0.983427\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 25.6039 | + | 35.9556i | 0.815808 | + | 1.14564i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −0.512560 | + | 0.205198i | −0.0163150 | + | 0.00653153i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 0.124359 | + | 0.512614i | 0.00395438 | + | 0.0163002i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −2.68779 | + | 18.6940i | −0.0853804 | + | 0.593834i | 0.901549 | + | 0.432678i | \(0.142431\pi\) |
−0.986929 | + | 0.161156i | \(0.948478\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −7.14819 | + | 3.68515i | −0.226841 | + | 0.116945i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 19.5906 | − | 27.5111i | 0.621063 | − | 0.872161i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −17.5600 | + | 11.2851i | −0.556132 | + | 0.357404i | −0.788319 | − | 0.615267i | \(-0.789048\pi\) |
0.232187 | + | 0.972671i | \(0.425412\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −1.68360 | − | 1.60531i | −0.0532668 | − | 0.0507898i |
(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 | 804.2.y.b.73.5 | ✓ | 120 | |
67.56 | even | 33 | inner | 804.2.y.b.793.5 | yes | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
804.2.y.b.73.5 | ✓ | 120 | 1.1 | even | 1 | trivial | |
804.2.y.b.793.5 | yes | 120 | 67.56 | even | 33 | inner |