Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [756,2,Mod(5,756)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(756, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 5, 15]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("756.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 756 = 2^{2} \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 756.ck (of order \(18\), 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: | \(6.03669039281\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 5.6 | ||
Character | \(\chi\) | \(=\) | 756.5 |
Dual form | 756.2.ck.a.605.6 |
$q$-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 \(\left(\mathbb{Z}/756\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{5}{18}\right)\) | \(e\left(\frac{5}{6}\right)\) | \(1\) |
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 | ||||||||
\(3\) | −1.47292 | − | 0.911314i | −0.850394 | − | 0.526147i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 0.688949 | − | 3.90722i | 0.308107 | − | 1.74736i | −0.300398 | − | 0.953814i | \(-0.597120\pi\) |
0.608506 | − | 0.793550i | \(-0.291769\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.608733 | + | 2.57477i | 0.230079 | + | 0.973172i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 1.33902 | + | 2.68459i | 0.446338 | + | 0.894864i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 3.93578 | − | 0.693985i | 1.18668 | − | 0.209244i | 0.454749 | − | 0.890620i | \(-0.349729\pi\) |
0.731934 | + | 0.681376i | \(0.238618\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.87975 | − | 2.24020i | 0.521349 | − | 0.621319i | −0.439550 | − | 0.898218i | \(-0.644862\pi\) |
0.960899 | + | 0.276899i | \(0.0893066\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −4.57548 | + | 5.12720i | −1.18138 | + | 1.32384i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 7.25945 | 1.76068 | 0.880338 | − | 0.474347i | \(-0.157316\pi\) | ||||
0.880338 | + | 0.474347i | \(0.157316\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.16772i | 0.497308i | 0.968592 | + | 0.248654i | \(0.0799882\pi\) | ||||
−0.968592 | + | 0.248654i | \(0.920012\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 1.44981 | − | 4.34719i | 0.316373 | − | 0.948635i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −0.423740 | + | 0.504993i | −0.0883558 | + | 0.105298i | −0.808411 | − | 0.588618i | \(-0.799672\pi\) |
0.720055 | + | 0.693917i | \(0.244116\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −10.0933 | − | 3.67365i | −2.01866 | − | 0.734731i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 0.474237 | − | 5.17447i | 0.0912669 | − | 0.995826i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −5.27940 | − | 6.29175i | −0.980360 | − | 1.16835i | −0.985725 | − | 0.168362i | \(-0.946152\pi\) |
0.00536483 | − | 0.999986i | \(-0.498292\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.711008 | − | 1.95348i | −0.127701 | − | 0.350855i | 0.859322 | − | 0.511435i | \(-0.170886\pi\) |
−0.987023 | + | 0.160580i | \(0.948664\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −6.42955 | − | 2.56454i | −1.11924 | − | 0.446430i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 10.4796 | − | 0.604570i | 1.77137 | − | 0.102191i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −0.0940596 | − | 0.162916i | −0.0154633 | − | 0.0267832i | 0.858190 | − | 0.513332i | \(-0.171589\pi\) |
−0.873654 | + | 0.486549i | \(0.838256\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −4.81025 | + | 1.58660i | −0.770257 | + | 0.254060i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 0.931145 | + | 0.781324i | 0.145420 | + | 0.122022i | 0.712596 | − | 0.701575i | \(-0.247519\pi\) |
−0.567175 | + | 0.823597i | \(0.691964\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.546157 | − | 0.198785i | −0.0832882 | − | 0.0303144i | 0.300040 | − | 0.953927i | \(-0.403000\pi\) |
−0.383328 | + | 0.923612i | \(0.625222\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 11.4118 | − | 3.38228i | 1.70117 | − | 0.504201i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −7.42893 | − | 2.70391i | −1.08362 | − | 0.394406i | −0.262367 | − | 0.964968i | \(-0.584503\pi\) |
−0.821254 | + | 0.570563i | \(0.806725\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −6.25889 | + | 3.13470i | −0.894127 | + | 0.447814i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −10.6926 | − | 6.61564i | −1.49727 | − | 0.926375i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −5.15055 | + | 2.97367i | −0.707482 | + | 0.408465i | −0.810128 | − | 0.586253i | \(-0.800602\pi\) |
0.102646 | + | 0.994718i | \(0.467269\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | − | 15.8561i | − | 2.13804i | ||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 1.97547 | − | 3.19288i | 0.261657 | − | 0.422908i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 10.3271 | + | 8.66550i | 1.34448 | + | 1.12815i | 0.980451 | + | 0.196765i | \(0.0630435\pi\) |
0.364029 | + | 0.931388i | \(0.381401\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 3.62963 | − | 9.97232i | 0.464726 | − | 1.27682i | −0.457167 | − | 0.889381i | \(-0.651136\pi\) |
0.921893 | − | 0.387444i | \(-0.126642\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −6.09711 | + | 5.08186i | −0.768163 | + | 0.640254i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −7.45790 | − | 8.88798i | −0.925039 | − | 1.10242i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 1.33647 | − | 7.57947i | 0.163275 | − | 0.925980i | −0.787550 | − | 0.616251i | \(-0.788651\pi\) |
0.950825 | − | 0.309729i | \(-0.100238\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 1.08434 | − | 0.357657i | 0.130540 | − | 0.0430569i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −0.923830 | − | 0.533373i | −0.109638 | − | 0.0632998i | 0.444178 | − | 0.895939i | \(-0.353496\pi\) |
−0.553816 | + | 0.832639i | \(0.686829\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 2.88569 | + | 1.66605i | 0.337744 | + | 0.194997i | 0.659274 | − | 0.751903i | \(-0.270864\pi\) |
−0.321530 | + | 0.946899i | \(0.604197\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 11.5188 | + | 14.6092i | 1.33008 | + | 1.68692i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 4.18269 | + | 9.71128i | 0.476662 | + | 1.10670i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 2.48404 | + | 14.0877i | 0.279476 | + | 1.58499i | 0.724375 | + | 0.689406i | \(0.242128\pi\) |
−0.444899 | + | 0.895581i | \(0.646760\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −5.41408 | + | 7.18942i | −0.601564 | + | 0.798825i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 6.12280 | − | 5.13764i | 0.672064 | − | 0.563929i | −0.241611 | − | 0.970373i | \(-0.577676\pi\) |
0.913676 | + | 0.406444i | \(0.133231\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 5.00139 | − | 28.3643i | 0.542477 | − | 3.07654i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 2.04241 | + | 14.0785i | 0.218969 | + | 1.50937i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 8.66443 | 0.918428 | 0.459214 | − | 0.888326i | \(-0.348131\pi\) | ||||
0.459214 | + | 0.888326i | \(0.348131\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 6.91226 | + | 3.47624i | 0.724602 | + | 0.364409i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −0.732970 | + | 3.52528i | −0.0760054 | + | 0.365554i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 8.46975 | + | 1.49345i | 0.868978 | + | 0.153224i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 3.49318 | − | 9.59744i | 0.354679 | − | 0.974472i | −0.626167 | − | 0.779689i | \(-0.715377\pi\) |
0.980846 | − | 0.194783i | \(-0.0624004\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 7.13314 | + | 9.63672i | 0.716907 | + | 0.968526i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −8.98912 | + | 7.54277i | −0.894451 | + | 0.750534i | −0.969098 | − | 0.246676i | \(-0.920662\pi\) |
0.0746466 | + | 0.997210i | \(0.476217\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −6.28666 | − | 1.10851i | −0.619443 | − | 0.109224i | −0.144885 | − | 0.989449i | \(-0.546281\pi\) |
−0.474558 | + | 0.880224i | \(0.657392\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −15.9866 | − | 8.65971i | −1.56013 | − | 0.845101i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 11.1821 | + | 6.45600i | 1.08102 | + | 0.624125i | 0.931170 | − | 0.364584i | \(-0.118789\pi\) |
0.149846 | + | 0.988709i | \(0.452122\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 1.15230 | + | 1.99583i | 0.110370 | + | 0.191166i | 0.915919 | − | 0.401362i | \(-0.131463\pi\) |
−0.805550 | + | 0.592528i | \(0.798130\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −0.00992484 | + | 0.325681i | −0.000942024 | + | 0.0309122i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −5.63872 | − | 15.4922i | −0.530446 | − | 1.45739i | −0.858542 | − | 0.512744i | \(-0.828629\pi\) |
0.328096 | − | 0.944644i | \(-0.393593\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 1.68119 | + | 2.00356i | 0.156771 | + | 0.186833i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 8.53103 | + | 2.04670i | 0.788694 | + | 0.189218i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 4.41907 | + | 18.6914i | 0.405095 | + | 1.71344i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 4.67215 | − | 1.70052i | 0.424740 | − | 0.154593i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −0.659476 | − | 1.99940i | −0.0594630 | − | 0.180280i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −11.3888 | + | 19.7260i | −1.01865 | + | 1.76435i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −2.99863 | − | 5.19378i | −0.266085 | − | 0.460873i | 0.701762 | − | 0.712411i | \(-0.252397\pi\) |
−0.967847 | + | 0.251538i | \(0.919064\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 0.623293 | + | 0.790516i | 0.0548779 | + | 0.0696010i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −5.03254 | − | 4.22280i | −0.439695 | − | 0.368948i | 0.395900 | − | 0.918293i | \(-0.370433\pi\) |
−0.835595 | + | 0.549346i | \(0.814877\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −5.58137 | + | 1.31956i | −0.483966 | + | 0.114420i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −19.8911 | − | 5.41789i | −1.71195 | − | 0.466298i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −5.48611 | + | 15.0730i | −0.468710 | + | 1.28777i | 0.450067 | + | 0.892995i | \(0.351400\pi\) |
−0.918777 | + | 0.394776i | \(0.870822\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −22.1082 | − | 3.89827i | −1.87519 | − | 0.330647i | −0.884476 | − | 0.466587i | \(-0.845484\pi\) |
−0.990717 | + | 0.135939i | \(0.956595\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 8.47814 | + | 10.7527i | 0.713989 | + | 0.905544i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 5.84362 | − | 10.1214i | 0.488668 | − | 0.846398i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −28.2205 | + | 16.2931i | −2.34358 | + | 1.35307i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 12.0756 | + | 1.08664i | 0.995976 | + | 0.0896244i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 0.744457 | + | 2.04538i | 0.0609883 | + | 0.167564i | 0.966444 | − | 0.256876i | \(-0.0826932\pi\) |
−0.905456 | + | 0.424440i | \(0.860471\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 3.62566 | + | 20.5621i | 0.295052 | + | 1.67332i | 0.666992 | + | 0.745065i | \(0.267582\pi\) |
−0.371940 | + | 0.928257i | \(0.621307\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 9.72052 | + | 19.4887i | 0.785857 | + | 1.57557i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −8.12252 | + | 1.43222i | −0.652417 | + | 0.115039i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −8.45553 | + | 10.0769i | −0.674825 | + | 0.804225i | −0.989432 | − | 0.144997i | \(-0.953683\pi\) |
0.314607 | + | 0.949222i | \(0.398127\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 10.2963 | + | 0.313771i | 0.816551 | + | 0.0248837i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −1.55819 | − | 0.783626i | −0.122802 | − | 0.0617584i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −2.50840 | + | 4.34468i | −0.196473 | + | 0.340302i | −0.947383 | − | 0.320104i | \(-0.896282\pi\) |
0.750909 | + | 0.660405i | \(0.229616\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −14.4499 | + | 23.3548i | −1.12492 | + | 1.81817i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 3.96921 | − | 1.44467i | 0.307147 | − | 0.111792i | −0.183848 | − | 0.982955i | \(-0.558856\pi\) |
0.490995 | + | 0.871162i | \(0.336633\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 0.772396 | + | 4.38048i | 0.0594151 | + | 0.336960i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −5.81943 | + | 2.90260i | −0.445023 | + | 0.221968i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 11.7887 | − | 9.89186i | 0.896275 | − | 0.752064i | −0.0731834 | − | 0.997318i | \(-0.523316\pi\) |
0.969459 | + | 0.245254i | \(0.0788714\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 3.31470 | − | 28.2242i | 0.250568 | − | 2.13355i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −7.31412 | − | 22.1749i | −0.549763 | − | 1.66677i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | − | 4.06742i | − | 0.304013i | −0.988379 | − | 0.152007i | \(-0.951426\pi\) | ||
0.988379 | − | 0.152007i | \(-0.0485735\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −6.60441 | + | 3.81306i | −0.490902 | + | 0.283422i | −0.724948 | − | 0.688803i | \(-0.758136\pi\) |
0.234047 | + | 0.972225i | \(0.424803\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −14.4341 | + | 11.3807i | −1.06700 | + | 0.841289i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −0.701351 | + | 0.255271i | −0.0515644 | + | 0.0187679i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 28.5716 | − | 5.03795i | 2.08936 | − | 0.368411i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 13.6117 | − | 1.92882i | 0.990109 | − | 0.140301i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 15.7820 | − | 2.78279i | 1.14194 | − | 0.201356i | 0.429488 | − | 0.903072i | \(-0.358694\pi\) |
0.712456 | + | 0.701717i | \(0.247583\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 17.2269 | − | 6.27007i | 1.24002 | − | 0.451329i | 0.363000 | − | 0.931789i | \(-0.381752\pi\) |
0.877017 | + | 0.480460i | \(0.159530\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 2.88519 | + | 19.8878i | 0.206613 | + | 1.42420i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 8.35914 | − | 4.82615i | 0.595564 | − | 0.343849i | −0.171731 | − | 0.985144i | \(-0.554936\pi\) |
0.767294 | + | 0.641295i | \(0.221603\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 10.5741i | 0.749581i | 0.927110 | + | 0.374790i | \(0.122285\pi\) | ||||
−0.927110 | + | 0.374790i | \(0.877715\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −8.87579 | + | 9.94605i | −0.626050 | + | 0.701540i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 12.9861 | − | 17.4232i | 0.911443 | − | 1.22287i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 3.69432 | − | 3.09990i | 0.258022 | − | 0.216506i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −1.92310 | − | 0.461375i | −0.133664 | − | 0.0320678i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 1.50436 | + | 8.53166i | 0.104059 | + | 0.590147i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −17.5093 | + | 6.37285i | −1.20539 | + | 0.438725i | −0.865101 | − | 0.501597i | \(-0.832746\pi\) |
−0.340286 | + | 0.940322i | \(0.610524\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 0.874661 | + | 1.62752i | 0.0599308 | + | 0.111516i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −1.15297 | + | 1.99701i | −0.0786320 | + | 0.136195i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 4.59694 | − | 3.01983i | 0.312061 | − | 0.204999i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −2.73210 | − | 5.08373i | −0.184618 | − | 0.343527i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 13.6460 | − | 16.2626i | 0.917926 | − | 1.09394i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −13.0786 | + | 2.30611i | −0.875808 | + | 0.154429i | −0.593440 | − | 0.804878i | \(-0.702231\pi\) |
−0.282367 | + | 0.959306i | \(0.591120\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −3.65279 | − | 32.0154i | −0.243520 | − | 2.13436i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −2.26914 | − | 12.8689i | −0.150608 | − | 0.854141i | −0.962692 | − | 0.270600i | \(-0.912778\pi\) |
0.812084 | − | 0.583541i | \(-0.198333\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 4.91506 | + | 13.5040i | 0.324796 | + | 0.892370i | 0.989405 | + | 0.145179i | \(0.0463758\pi\) |
−0.664609 | + | 0.747191i | \(0.731402\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 2.68923 | − | 18.1157i | 0.176939 | − | 1.19193i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −6.49516 | + | 3.74998i | −0.425512 | + | 0.245669i | −0.697433 | − | 0.716650i | \(-0.745674\pi\) |
0.271921 | + | 0.962320i | \(0.412341\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −15.6829 | + | 27.1636i | −1.02304 | + | 1.77196i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 9.17949 | − | 23.0138i | 0.596272 | − | 1.49491i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −2.35845 | − | 0.415858i | −0.152555 | − | 0.0268996i | 0.0968488 | − | 0.995299i | \(-0.469124\pi\) |
−0.249404 | + | 0.968399i | \(0.580235\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 8.28691 | − | 22.7681i | 0.533807 | − | 1.46662i | −0.320700 | − | 0.947181i | \(-0.603918\pi\) |
0.854506 | − | 0.519441i | \(-0.173860\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 14.5263 | − | 5.65556i | 0.931865 | − | 0.362804i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 7.93590 | + | 26.6145i | 0.507006 | + | 1.70034i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 4.85611 | + | 4.07476i | 0.308987 | + | 0.259271i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −13.7004 | + | 1.98757i | −0.868229 | + | 0.125957i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 14.5178 | + | 25.1456i | 0.916356 | + | 1.58717i | 0.804904 | + | 0.593405i | \(0.202217\pi\) |
0.111452 | + | 0.993770i | \(0.464450\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −1.31729 | + | 2.28161i | −0.0828173 | + | 0.143444i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −33.2155 | + | 37.2207i | −2.08003 | + | 2.33085i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 13.6563 | − | 4.97049i | 0.851857 | − | 0.310051i | 0.121060 | − | 0.992645i | \(-0.461371\pi\) |
0.730797 | + | 0.682594i | \(0.239148\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0.362214 | − | 0.341354i | 0.0225069 | − | 0.0212107i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 9.82158 | − | 22.5978i | 0.607940 | − | 1.39877i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −8.03518 | − | 9.57596i | −0.495471 | − | 0.590479i | 0.459129 | − | 0.888369i | \(-0.348161\pi\) |
−0.954600 | + | 0.297891i | \(0.903717\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 8.07033 | + | 22.1730i | 0.495756 | + | 1.36208i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −12.7621 | − | 7.89602i | −0.781025 | − | 0.483228i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 9.04697 | + | 15.6698i | 0.551604 | + | 0.955406i | 0.998159 | + | 0.0606497i | \(0.0193173\pi\) |
−0.446555 | + | 0.894756i | \(0.647349\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −10.9167 | − | 6.30277i | −0.663143 | − | 0.382866i | 0.130330 | − | 0.991471i | \(-0.458396\pi\) |
−0.793474 | + | 0.608605i | \(0.791730\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −7.01330 | − | 11.4195i | −0.424464 | − | 0.691138i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −42.2744 | − | 7.45412i | −2.54924 | − | 0.449500i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −12.1089 | + | 10.1606i | −0.727555 | + | 0.610491i | −0.929464 | − | 0.368914i | \(-0.879730\pi\) |
0.201909 | + | 0.979404i | \(0.435285\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 4.29224 | − | 4.52450i | 0.256970 | − | 0.270875i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 0.386386 | − | 1.06159i | 0.0230499 | − | 0.0633290i | −0.927634 | − | 0.373490i | \(-0.878161\pi\) |
0.950684 | + | 0.310161i | \(0.100383\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 19.0304 | + | 3.35557i | 1.13124 | + | 0.199468i | 0.707770 | − | 0.706443i | \(-0.249701\pi\) |
0.423469 | + | 0.905911i | \(0.360812\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −11.1143 | − | 9.91833i | −0.658355 | − | 0.587511i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −1.44491 | + | 2.87310i | −0.0852904 | + | 0.169594i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 35.6997 | 2.09998 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −13.8915 | + | 10.9529i | −0.814332 | + | 0.642071i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 3.55249 | − | 20.1472i | 0.207539 | − | 1.17701i | −0.685856 | − | 0.727738i | \(-0.740572\pi\) |
0.893394 | − | 0.449273i | \(-0.148317\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 40.9729 | − | 34.3804i | 2.38554 | − | 2.00170i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −1.72451 | − | 20.6947i | −0.100066 | − | 1.20083i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 0.334761 | + | 1.89852i | 0.0193597 | + | 0.109794i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0.179362 | − | 1.52724i | 0.0103382 | − | 0.0880285i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 20.1141 | − | 2.91802i | 1.15553 | − | 0.167636i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −36.4634 | − | 21.0522i | −2.08789 | − | 1.20544i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −24.4057 | − | 14.0906i | −1.39291 | − | 0.804194i | −0.399269 | − | 0.916834i | \(-0.630736\pi\) |
−0.993636 | + | 0.112640i | \(0.964069\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 8.24958 | + | 7.36187i | 0.469302 | + | 0.418802i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −1.80190 | + | 10.2191i | −0.102176 | + | 0.579470i | 0.890135 | + | 0.455698i | \(0.150610\pi\) |
−0.992311 | + | 0.123772i | \(0.960501\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 13.1554 | + | 15.6780i | 0.743586 | + | 0.886171i | 0.996692 | − | 0.0812672i | \(-0.0258967\pi\) |
−0.253106 | + | 0.967438i | \(0.581452\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 15.6554 | + | 27.3239i | 0.882079 | + | 1.53953i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −1.39302 | + | 3.82728i | −0.0782396 | + | 0.214962i | −0.972645 | − | 0.232295i | \(-0.925377\pi\) |
0.894406 | + | 0.447256i | \(0.147599\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −25.1449 | − | 21.0991i | −1.40785 | − | 1.18132i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −10.5870 | − | 19.6996i | −0.590908 | − | 1.09953i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 15.7364i | 0.875598i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −27.2026 | + | 15.7054i | −1.50893 | + | 0.871179i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 0.121586 | − | 3.98981i | 0.00672373 | − | 0.220637i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 2.43971 | − | 20.7737i | 0.134506 | − | 1.14529i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 3.67758 | + | 1.33853i | 0.202138 | + | 0.0735722i | 0.441105 | − | 0.897455i | \(-0.354587\pi\) |
−0.238967 | + | 0.971028i | \(0.576809\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 0.311416 | − | 0.470659i | 0.0170655 | − | 0.0257919i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −28.6939 | − | 10.4437i | −1.56772 | − | 0.570602i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 7.46671 | + | 6.26531i | 0.406737 | + | 0.341293i | 0.823091 | − | 0.567910i | \(-0.192248\pi\) |
−0.416354 | + | 0.909203i | \(0.636692\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −5.81289 | + | 27.9576i | −0.315713 | + | 1.51845i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −4.15406 | − | 7.19503i | −0.224955 | − | 0.389633i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −11.8811 | − | 14.2070i | −0.641520 | − | 0.767106i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −0.650390 | − | 4.48318i | −0.0350158 | − | 0.241366i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −0.307897 | − | 0.845941i | −0.0165288 | − | 0.0454125i | 0.931154 | − | 0.364627i | \(-0.118803\pi\) |
−0.947683 | + | 0.319214i | \(0.896581\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 14.2878 | + | 17.0276i | 0.764810 | + | 0.911465i | 0.998142 | − | 0.0609324i | \(-0.0194074\pi\) |
−0.233332 | + | 0.972397i | \(0.574963\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −10.7004 | − | 10.7891i | −0.571144 | − | 0.575879i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 25.6896 | + | 9.35025i | 1.36732 | + | 0.497663i | 0.918309 | − | 0.395863i | \(-0.129555\pi\) |
0.449010 | + | 0.893527i | \(0.351777\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −2.72048 | + | 3.24214i | −0.144388 | + | 0.172075i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 10.5248 | − | 31.5582i | 0.557031 | − | 1.67024i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 2.55839i | 0.135027i | 0.997718 | + | 0.0675135i | \(0.0215066\pi\) | ||||
−0.997718 | + | 0.0675135i | \(0.978493\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 14.3010 | 0.752685 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −8.43143 | − | 1.75305i | −0.442535 | − | 0.0920112i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 8.49772 | − | 10.1272i | 0.444791 | − | 0.530082i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −5.82671 | + | 1.02741i | −0.304152 | + | 0.0536302i | −0.323641 | − | 0.946180i | \(-0.604907\pi\) |
0.0194893 | + | 0.999810i | \(0.493796\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −0.850718 | + | 3.54595i | −0.0442866 | + | 0.184595i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −10.7918 | − | 11.4513i | −0.560284 | − | 0.594522i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −3.00818 | + | 17.0603i | −0.155758 | + | 0.883346i | 0.802332 | + | 0.596878i | \(0.203592\pi\) |
−0.958090 | + | 0.286468i | \(0.907519\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 34.7514 | − | 18.6761i | 1.79455 | − | 0.964430i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −24.0187 | −1.23703 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −33.5463 | −1.72316 | −0.861579 | − | 0.507623i | \(-0.830524\pi\) | ||||
−0.861579 | + | 0.507623i | \(0.830524\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −0.316405 | + | 10.3827i | −0.0162099 | + | 0.531924i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 0.383922 | − | 2.17733i | 0.0196175 | − | 0.111256i | −0.973427 | − | 0.228999i | \(-0.926455\pi\) |
0.993044 | + | 0.117743i | \(0.0375658\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 40.8258 | − | 9.65213i | 2.08068 | − | 0.491918i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −0.197656 | − | 1.73239i | −0.0100474 | − | 0.0880621i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −33.7290 | + | 5.94734i | −1.71013 | + | 0.301542i | −0.941215 | − | 0.337808i | \(-0.890315\pi\) |
−0.768916 | + | 0.639350i | \(0.779203\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −3.07612 | + | 3.66597i | −0.155566 | + | 0.185396i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 3.56425 | + | 10.8061i | 0.179793 | + | 0.545095i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 56.7551 | 2.85566 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | − | 21.5352i | − | 1.08082i | −0.841401 | − | 0.540411i | \(-0.818269\pi\) | ||
0.841401 | − | 0.540411i | \(-0.181731\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 9.42347 | + | 3.14277i | 0.471764 | + | 0.157335i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −16.6603 | + | 19.8550i | −0.831975 | + | 0.991509i | 0.168008 | + | 0.985786i | \(0.446266\pi\) |
−0.999984 | + | 0.00572381i | \(0.998178\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −5.71270 | − | 2.07925i | −0.284570 | − | 0.103575i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 24.3607 | + | 26.1072i | 1.21049 | + | 1.29727i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −0.483259 | − | 0.575926i | −0.0239543 | − | 0.0285476i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 3.98666 | + | 10.9532i | 0.197127 | + | 0.541603i | 0.998391 | − | 0.0567086i | \(-0.0180606\pi\) |
−0.801263 | + | 0.598312i | \(0.795838\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 21.8168 | − | 17.2018i | 1.07615 | − | 0.848502i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −16.0252 | + | 31.8650i | −0.788549 | + | 1.56797i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −15.8556 | − | 27.4627i | −0.778321 | − | 1.34809i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 29.0112 | + | 25.8894i | 1.42068 | + | 1.26781i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −6.52747 | − | 5.47720i | −0.318888 | − | 0.267579i | 0.469266 | − | 0.883057i | \(-0.344518\pi\) |
−0.788154 | + | 0.615478i | \(0.788963\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 21.6891 | + | 7.89419i | 1.05706 | + | 0.384739i | 0.811324 | − | 0.584597i | \(-0.198747\pi\) |
0.245739 | + | 0.969336i | \(0.420969\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −2.68855 | − | 23.5642i | −0.130722 | − | 1.14573i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −73.2717 | − | 26.6687i | −3.55420 | − | 1.29362i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 27.8859 | + | 3.27498i | 1.34949 | + | 0.158487i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −17.8310 | + | 9.58276i | −0.860890 | + | 0.462660i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 4.15301 | − | 2.39774i | 0.200043 | − | 0.115495i | −0.396632 | − | 0.917978i | \(-0.629821\pi\) |
0.596676 | + | 0.802482i | \(0.296488\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 21.7041i | 1.04303i | 0.853242 | + | 0.521516i | \(0.174633\pi\) | ||||
−0.853242 | + | 0.521516i | \(0.825367\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 56.4148 | + | 1.71919i | 2.70488 | + | 0.0824290i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −1.09468 | − | 0.918547i | −0.0523657 | − | 0.0439401i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −6.09546 | + | 16.7471i | −0.290921 | + | 0.799298i | 0.705012 | + | 0.709195i | \(0.250942\pi\) |
−0.995933 | + | 0.0901022i | \(0.971281\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −16.7961 | − | 12.6052i | −0.799816 | − | 0.600246i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 14.9000 | + | 17.7571i | 0.707919 | + | 0.843666i | 0.993398 | − | 0.114720i | \(-0.0365969\pi\) |
−0.285478 | + | 0.958385i | \(0.592153\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 5.96935 | − | 33.8539i | 0.282974 | − | 1.60483i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 0.767452 | − | 3.69112i | 0.0362992 | − | 0.174584i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 10.5855 | + | 6.11156i | 0.499563 | + | 0.288423i | 0.728533 | − | 0.685011i | \(-0.240203\pi\) |
−0.228970 | + | 0.973433i | \(0.573536\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 4.20701 | + | 2.42892i | 0.198100 | + | 0.114373i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 13.3982 | − | 33.5906i | 0.629503 | − | 1.57822i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 18.3446 | − | 24.6128i | 0.860010 | − | 1.15387i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 2.69680 | + | 15.2943i | 0.126151 | + | 0.715438i | 0.980618 | + | 0.195932i | \(0.0627731\pi\) |
−0.854467 | + | 0.519506i | \(0.826116\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 3.44270 | − | 37.5638i | 0.160691 | − | 1.75333i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 26.6254 | − | 22.3413i | 1.24007 | − | 1.04054i | 0.242547 | − | 0.970140i | \(-0.422017\pi\) |
0.997519 | − | 0.0703997i | \(-0.0224275\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 4.43131 | − | 25.1312i | 0.205941 | − | 1.16795i | −0.690012 | − | 0.723798i | \(-0.742395\pi\) |
0.895953 | − | 0.444149i | \(-0.146494\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 13.2691 | + | 5.29261i | 0.615338 | + | 0.245439i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −13.5982 | −0.629249 | −0.314625 | − | 0.949216i | \(-0.601879\pi\) | ||||
−0.314625 | + | 0.949216i | \(0.601879\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 20.3289 | − | 1.17278i | 0.938704 | − | 0.0541541i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 21.6376 | − | 7.13689i | 0.997008 | − | 0.328851i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −2.28751 | − | 0.403350i | −0.105180 | − | 0.0185460i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 7.96344 | − | 21.8794i | 0.365388 | − | 1.00389i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −14.8798 | − | 9.84533i | −0.681297 | − | 0.450787i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −19.3576 | + | 16.2429i | −0.884470 | + | 0.742159i | −0.967093 | − | 0.254422i | \(-0.918115\pi\) |
0.0826230 | + | 0.996581i | \(0.473670\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −0.541772 | − | 0.0955291i | −0.0247027 | − | 0.00435575i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 1.58096 | + | 2.57422i | 0.0719363 | + | 0.117131i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −35.0927 | − | 20.2608i | −1.59348 | − | 0.919995i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 4.72827 | + | 8.18961i | 0.214258 | + | 0.371107i | 0.953043 | − | 0.302835i | \(-0.0979332\pi\) |
−0.738784 | + | 0.673942i | \(0.764600\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 7.65406 | − | 4.11345i | 0.346128 | − | 0.186017i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 11.9824 | + | 32.9213i | 0.540757 | + | 1.48572i | 0.845863 | + | 0.533400i | \(0.179086\pi\) |
−0.305106 | + | 0.952319i | \(0.598692\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −38.3256 | − | 45.6746i | −1.72610 | − | 2.05708i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 42.5672 | − | 21.2316i | 1.91325 | − | 0.954288i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 0.810948 | − | 2.70333i | 0.0363760 | − | 0.121261i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −27.3282 | + | 9.94666i | −1.22338 | + | 0.445274i | −0.871325 | − | 0.490706i | \(-0.836739\pi\) |
−0.352054 | + | 0.935980i | \(0.614517\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −7.16290 | − | 1.48930i | −0.320015 | − | 0.0665369i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 4.77536 | − | 8.27117i | 0.212923 | − | 0.368793i | −0.739705 | − | 0.672931i | \(-0.765035\pi\) |
0.952628 | + | 0.304138i | \(0.0983684\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 23.2782 | + | 40.3191i | 1.03587 | + | 1.79418i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 2.85431 | − | 7.15601i | 0.126764 | − | 0.317809i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −15.5398 | − | 13.0395i | −0.688791 | − | 0.577964i | 0.229770 | − | 0.973245i | \(-0.426203\pi\) |
−0.918560 | + | 0.395281i | \(0.870647\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −2.53309 | + | 8.44416i | −0.112057 | + | 0.373548i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 11.2168 | + | 1.02801i | 0.495233 | + | 0.0453878i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −8.66237 | + | 23.7997i | −0.381710 | + | 1.04874i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −31.1151 | − | 5.48643i | −1.36844 | − | 0.241293i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −26.3784 | + | 3.82680i | −1.15788 | + | 0.167978i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 7.07494 | − | 12.2542i | 0.309959 | − | 0.536864i | −0.668394 | − | 0.743807i | \(-0.733018\pi\) |
0.978353 | + | 0.206943i | \(0.0663514\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −27.6390 | + | 15.9574i | −1.20857 | + | 0.697767i | −0.962446 | − | 0.271472i | \(-0.912489\pi\) |
−0.246121 | + | 0.969239i | \(0.579156\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −30.6034 | + | 38.5513i | −1.33564 | + | 1.68252i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −5.16153 | − | 14.1812i | −0.224840 | − | 0.617742i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 3.91845 | + | 22.2226i | 0.170367 | + | 0.966200i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −9.43514 | + | 39.3274i | −0.409450 | + | 1.70666i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 3.50064 | − | 0.617257i | 0.151630 | − | 0.0267364i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 32.9290 | − | 39.2432i | 1.42364 | − | 1.69663i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −3.70670 | + | 5.99101i | −0.159956 | + | 0.258531i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −22.4582 | + | 16.6811i | −0.967343 | + | 0.718504i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 6.59562 | − | 11.4239i | 0.283568 | − | 0.491154i | −0.688693 | − | 0.725053i | \(-0.741815\pi\) |
0.972261 | + | 0.233899i | \(0.0751486\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 13.2027 | + | 0.402340i | 0.566581 | + | 0.0172661i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 8.59204 | − | 3.12725i | 0.368043 | − | 0.133957i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 1.86468 | + | 10.5751i | 0.0797281 | + | 0.452161i | 0.998370 | + | 0.0570699i | \(0.0181758\pi\) |
−0.918642 | + | 0.395091i | \(0.870713\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 31.6317 | − | 3.60902i | 1.35001 | − | 0.154029i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 13.6387 | − | 11.4442i | 0.581029 | − | 0.487541i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −34.7604 | + | 14.9715i | −1.47816 | + | 0.636651i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 1.26567 | + | 0.263156i | 0.0537247 | + | 0.0111703i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 32.7388i | 1.38719i | 0.720367 | + | 0.693593i | \(0.243974\pi\) | ||||
−0.720367 | + | 0.693593i | \(0.756026\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −1.47196 | + | 0.849835i | −0.0622571 | + | 0.0359442i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −46.6750 | − | 18.6172i | −1.97062 | − | 0.786018i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −8.37882 | + | 3.04964i | −0.353125 | + | 0.128527i | −0.512491 | − | 0.858693i | \(-0.671277\pi\) |
0.159366 | + | 0.987220i | \(0.449055\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −64.4165 | + | 11.3584i | −2.71002 | + | 0.477850i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −21.8068 | − | 9.56357i | −0.915801 | − | 0.401632i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −27.9792 | + | 4.93349i | −1.17295 | + | 0.206823i | −0.725973 | − | 0.687723i | \(-0.758610\pi\) |
−0.446976 | + | 0.894546i | \(0.647499\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 9.22186 | − | 3.35648i | 0.385923 | − | 0.140464i | −0.141770 | − | 0.989900i | \(-0.545279\pi\) |
0.527693 | + | 0.849435i | \(0.323057\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −25.7817 | − | 10.2835i | −1.07704 | − | 0.429599i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 6.13209 | − | 3.54037i | 0.255726 | − | 0.147643i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 2.15118i | 0.0895546i | 0.998997 | + | 0.0447773i | \(0.0142578\pi\) | ||||
−0.998997 | + | 0.0447773i | \(0.985742\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −31.0879 | − | 6.46374i | −1.29197 | − | 0.268624i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 16.9554 | + | 12.6374i | 0.703428 | + | 0.524286i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −18.2077 | + | 15.2781i | −0.754088 | + | 0.632755i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 13.8744 | − | 31.9226i | 0.573635 | − | 1.31984i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −6.62516 | − | 37.5732i | −0.273450 | − | 1.55081i | −0.743844 | − | 0.668354i | \(-0.766999\pi\) |
0.470394 | − | 0.882456i | \(-0.344112\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 4.23458 | − | 1.54126i | 0.174483 | − | 0.0635066i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −16.7105 | − | 0.509238i | −0.687379 | − | 0.0209473i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 8.09994 | − | 14.0295i | 0.332625 | − | 0.576123i | −0.650401 | − | 0.759591i | \(-0.725399\pi\) |
0.983026 | + | 0.183468i | \(0.0587324\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 76.0761 | − | 4.38885i | 3.11882 | − | 0.179925i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 9.63635 | − | 15.5749i | 0.394390 | − | 0.637439i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 13.0624 | − | 15.5671i | 0.533714 | − | 0.636056i | −0.430052 | − | 0.902804i | \(-0.641505\pi\) |
0.963766 | + | 0.266748i | \(0.0859492\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 5.94613 | − | 1.04846i | 0.242548 | − | 0.0427677i | −0.0510527 | − | 0.998696i | \(-0.516258\pi\) |
0.293600 | + | 0.955928i | \(0.405147\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 22.1373 | − | 6.56116i | 0.901502 | − | 0.267191i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −3.42545 | − | 19.4267i | −0.139264 | − | 0.789807i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 0.239855 | + | 0.658996i | 0.00973542 | + | 0.0267478i | 0.944465 | − | 0.328612i | \(-0.106581\pi\) |
−0.934730 | + | 0.355359i | \(0.884358\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −35.0055 | + | 13.8288i | −1.41850 | + | 0.560370i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −20.0218 | + | 11.5596i | −0.809996 | + | 0.467651i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −16.1127 | + | 27.9080i | −0.650785 | + | 1.12719i | 0.332148 | + | 0.943227i | \(0.392227\pi\) |
−0.982933 | + | 0.183965i | \(0.941107\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −8.26643 | + | 1.19924i | −0.333335 | + | 0.0483580i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 18.1880 | + | 3.20704i | 0.732222 | + | 0.129110i | 0.527314 | − | 0.849671i | \(-0.323199\pi\) |
0.204908 | + | 0.978781i | \(0.434310\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −3.07549 | + | 8.44985i | −0.123615 | + | 0.339628i | −0.986029 | − | 0.166575i | \(-0.946729\pi\) |
0.862414 | + | 0.506203i | \(0.168951\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 2.41212 | + | 2.43211i | 0.0967949 | + | 0.0975973i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 5.27433 | + | 22.3089i | 0.211311 | + | 0.893789i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 28.0869 | + | 23.5677i | 1.12348 | + | 0.942709i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 5.55920 | − | 13.9374i | 0.222013 | − | 0.556607i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −0.682821 | − | 1.18268i | −0.0272259 | − | 0.0471566i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −5.62050 | + | 9.73499i | −0.223749 | + | 0.387544i | −0.955943 | − | 0.293552i | \(-0.905163\pi\) |
0.732195 | + | 0.681095i | \(0.238496\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 31.5975 | + | 6.56970i | 1.25589 | + | 0.261122i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −22.3592 | + | 8.13807i | −0.887296 | + | 0.322949i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −4.74280 | + | 19.9136i | −0.187917 | + | 0.789005i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 0.194868 | − | 3.19430i | 0.00770886 | − | 0.126365i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −10.7267 | − | 12.7836i | −0.423679 | − | 0.504920i | 0.511409 | − | 0.859338i | \(-0.329124\pi\) |
−0.935087 | + | 0.354417i | \(0.884679\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 7.25386 | + | 19.9298i | 0.286064 | + | 0.785955i | 0.996607 | + | 0.0823015i | \(0.0262270\pi\) |
−0.710543 | + | 0.703654i | \(0.751551\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 3.51814 | − | 1.89072i | 0.138527 | − | 0.0744470i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −15.2203 | − | 26.3623i | −0.598371 | − | 1.03641i | −0.993062 | − | 0.117595i | \(-0.962482\pi\) |
0.394691 | − | 0.918814i | \(-0.370852\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 46.6591 | + | 26.9386i | 1.83153 | + | 1.05743i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −9.52296 | + | 0.258723i | −0.373234 | + | 0.0101402i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 2.31357 | + | 0.407944i | 0.0905369 | + | 0.0159641i | 0.218733 | − | 0.975785i | \(-0.429808\pi\) |
−0.128196 | + | 0.991749i | \(0.540919\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −19.9666 | + | 16.7540i | −0.780159 | + | 0.654631i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −0.608692 | + | 9.97776i | −0.0237473 | + | 0.389269i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 16.2406 | − | 44.6206i | 0.632643 | − | 1.73817i | −0.0410456 | − | 0.999157i | \(-0.513069\pi\) |
0.673689 | − | 0.739015i | \(-0.264709\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −7.28366 | − | 1.28431i | −0.283302 | − | 0.0499537i | 0.0301917 | − | 0.999544i | \(-0.490388\pi\) |
−0.313493 | + | 0.949590i | \(0.601499\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −34.9198 | + | 11.5179i | −1.35617 | + | 0.447317i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 1.31054 | + | 22.7168i | 0.0508204 | + | 0.880919i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 5.41438 | 0.209646 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 21.3654 | + | 8.52198i | 0.826033 | + | 0.329479i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 7.36478 | − | 41.7678i | 0.284314 | − | 1.61243i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −14.2500 | + | 11.9572i | −0.549297 | + | 0.460915i | −0.874703 | − | 0.484660i | \(-0.838943\pi\) |
0.325406 | + | 0.945574i | \(0.394499\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −23.7958 | + | 50.4852i | −0.915901 | + | 1.94317i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −5.37940 | − | 30.5081i | −0.206747 | − | 1.17252i | −0.894667 | − | 0.446735i | \(-0.852587\pi\) |
0.687919 | − | 0.725787i | \(-0.258524\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 26.8376 | + | 3.15186i | 1.02993 | + | 0.120957i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −8.38536 | + | 21.0229i | −0.321328 | + | 0.805598i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −1.32267 | − | 0.763644i | −0.0506106 | − | 0.0292200i | 0.474481 | − | 0.880266i | \(-0.342636\pi\) |
−0.525092 | + | 0.851046i | \(0.675969\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 55.1138 | + | 31.8200i | 2.10579 | + | 1.21578i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 5.06688 | − | 24.3695i | 0.193313 | − | 0.929756i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −3.02013 | + | 17.1280i | −0.115058 | + | 0.652525i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 29.8290 | + | 35.5488i | 1.13475 | + | 1.35234i | 0.927400 | + | 0.374071i | \(0.122038\pi\) |
0.207347 | + | 0.978267i | \(0.433517\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −20.4702 | + | 24.2324i | −0.777597 | + | 0.920512i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −30.4628 | + | 83.6960i | −1.15552 | + | 3.17477i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 6.75961 | + | 5.67198i | 0.256038 | + | 0.214842i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 12.9843 | + | 0.395685i | 0.491111 | + | 0.0149662i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 13.6944i | 0.517231i | 0.965980 | + | 0.258615i | \(0.0832662\pi\) | ||||
−0.965980 | + | 0.258615i | \(0.916734\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 0.353155 | − | 0.203894i | 0.0133195 | − | 0.00769002i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 47.8544 | − | 25.7179i | 1.80230 | − | 0.968593i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −24.8929 | − | 18.5534i | −0.936193 | − | 0.697772i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 42.3406 | + | 15.4107i | 1.59013 | + | 0.578761i | 0.977376 | − | 0.211510i | \(-0.0678380\pi\) |
0.612757 | + | 0.790271i | \(0.290060\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −34.4935 | + | 25.5322i | −1.29361 | + | 0.957534i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 1.28778 | + | 0.468712i | 0.0482276 | + | 0.0175534i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −35.5208 | − | 29.8055i | −1.32840 | − | 1.11466i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 3.09484 | + | 2.76181i | 0.115579 | + | 0.103142i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 6.57011 | + | 11.3798i | 0.245024 | + | 0.424394i | 0.962138 | − | 0.272562i | \(-0.0878709\pi\) |
−0.717115 | + | 0.696955i | \(0.754538\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −0.972744 | − | 16.8615i | −0.0362269 | − | 0.627955i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −32.9549 | + | 25.9837i | −1.22560 | + | 0.966345i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 30.1728 | + | 82.8991i | 1.12059 | + | 3.07879i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 25.2352 | + | 30.0742i | 0.935922 | + | 1.11539i | 0.993129 | + | 0.117026i | \(0.0373361\pi\) |
−0.0572067 | + | 0.998362i | \(0.518219\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −26.5502 | − | 4.90784i | −0.983341 | − | 0.181772i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −3.96480 | − | 1.44307i | −0.146644 | − | 0.0533739i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 2.95168 | − | 3.51767i | 0.109023 | − | 0.129928i | −0.708773 | − | 0.705436i | \(-0.750751\pi\) |
0.817796 | + | 0.575508i | \(0.195196\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 12.5652 | − | 46.4333i | 0.463474 | − | 1.71272i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | − | 30.7586i | − | 1.13301i | ||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 1.73047 | 0.0636564 | 0.0318282 | − | 0.999493i | \(-0.489867\pi\) | ||||
0.0318282 | + | 0.999493i | \(0.489867\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −3.43930 | − | 10.4273i | −0.126346 | − | 0.383055i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −8.04882 | + | 9.59220i | −0.295282 | + | 0.351904i | −0.893205 | − | 0.449650i | \(-0.851549\pi\) |
0.597922 | + | 0.801554i | \(0.295993\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 8.50464 | − | 1.49960i | 0.311586 | − | 0.0549410i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 21.9910 | + | 9.55784i | 0.804608 | + | 0.349703i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −9.81580 | + | 32.7214i | −0.358661 | + | 1.19561i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 7.15576 | − | 40.5823i | 0.261117 | − | 1.48087i | −0.518751 | − | 0.854926i | \(-0.673603\pi\) |
0.779868 | − | 0.625944i | \(-0.215286\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 1.53187 | − | 50.2678i | 0.0558244 | − | 1.83186i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 82.8387 | 3.01481 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −20.9608 | −0.761832 | −0.380916 | − | 0.924610i | \(-0.624391\pi\) | ||||
−0.380916 | + | 0.924610i | \(0.624391\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 4.01953 | − | 2.16018i | 0.145900 | − | 0.0784095i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −5.11286 | + | 28.9965i | −0.185341 | + | 1.05112i | 0.740175 | + | 0.672414i | \(0.234742\pi\) |
−0.925516 | + | 0.378707i | \(0.876369\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −4.43737 | + | 4.18183i | −0.160644 | + | 0.151392i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 82.8436 | − | 24.5535i | 2.99521 | − | 0.887735i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 38.8249 | − | 6.84588i | 1.40189 | − | 0.247190i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −32.3467 | + | 38.5493i | −1.16645 | + | 1.39012i | −0.261178 | + | 0.965291i | \(0.584111\pi\) |
−0.905272 | + | 0.424832i | \(0.860333\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −24.6444 | − | 5.12402i | −0.887546 | − | 0.184537i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 25.1223 | 0.903587 | 0.451793 | − | 0.892123i | \(-0.350784\pi\) | ||||
0.451793 | + | 0.892123i | \(0.350784\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 22.3290i | 0.802081i | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −0.844595 | + | 0.172698i | −0.0302997 | + | 0.00619552i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −1.69369 | + | 2.01846i | −0.0606827 | + | 0.0723188i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −4.00614 | − | 1.45812i | −0.143351 | − | 0.0521755i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −35.0601 | + | 24.3343i | −1.25295 | + | 0.869637i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 33.5473 | + | 39.9801i | 1.19736 | + | 1.42695i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −4.03975 | − | 11.0991i | −0.144001 | − | 0.395641i | 0.846634 | − | 0.532176i | \(-0.178626\pi\) |
−0.990635 | + | 0.136535i | \(0.956403\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 3.10852 | + | 21.4272i | 0.110666 | + | 0.762830i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 36.4565 | − | 23.9490i | 1.29624 | − | 0.851530i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −15.5172 | − | 26.8765i | −0.551031 | − | 0.954414i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 8.31961 | − | 40.0138i | 0.295066 | − | 1.41914i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −25.6797 | − | 21.5478i | −0.909621 | − | 0.763262i | 0.0624261 | − | 0.998050i | \(-0.480116\pi\) |
−0.972047 | + | 0.234787i | \(0.924561\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −53.9300 | − | 19.6289i | −1.90790 | − | 0.694421i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 11.6018 | + | 23.2605i | 0.409930 | + | 0.821869i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 12.5136 | + | 4.55459i | 0.441597 | + | 0.160728i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −4.13531 | + | 5.54830i | −0.145751 | + | 0.195552i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 0.954605 | − | 31.3251i | 0.0336037 | − | 1.10270i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 24.0879 | − | 13.9072i | 0.846887 | − | 0.488950i | −0.0127126 | − | 0.999919i | \(-0.504047\pi\) |
0.859599 | + | 0.510969i | \(0.170713\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 15.5701i | − | 0.546741i | −0.961909 | − | 0.273371i | \(-0.911861\pi\) | ||
0.961909 | − | 0.273371i | \(-0.0881385\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 10.3357 | + | 19.2321i | 0.362489 | + | 0.674497i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 15.2475 | + | 12.7942i | 0.534096 | + | 0.448160i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 0.430909 | − | 1.18391i | 0.0150756 | − | 0.0414199i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −0.0766675 | + | 23.2114i | −0.00267898 | + | 0.811070i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −3.92828 | − | 4.68154i | −0.137098 | − | 0.163387i | 0.693127 | − | 0.720815i | \(-0.256232\pi\) |
−0.830225 | + | 0.557429i | \(0.811788\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −2.25795 | + | 12.8055i | −0.0787072 | + | 0.446371i | 0.919831 | + | 0.392315i | \(0.128326\pi\) |
−0.998538 | + | 0.0540552i | \(0.982785\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 55.4740 | + | 49.5046i | 1.93136 | + | 1.72353i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −2.45676 | − | 1.41841i | −0.0854297 | − | 0.0493229i | 0.456677 | − | 0.889633i | \(-0.349040\pi\) |
−0.542106 | + | 0.840310i | \(0.682373\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −42.1583 | − | 24.3401i | −1.46422 | − | 0.845366i | −0.465015 | − | 0.885303i | \(-0.653951\pi\) |
−0.999202 | + | 0.0399371i | \(0.987284\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 27.0950 | − | 3.93076i | 0.939916 | − | 0.136357i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −45.4361 | + | 22.7562i | −1.57427 | + | 0.788455i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −2.91008 | − | 16.5039i | −0.100708 | − | 0.571141i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −10.4454 | + | 2.75267i | −0.361046 | + | 0.0951464i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −9.21649 | + | 7.73356i | −0.318189 | + | 0.266992i | −0.787867 | − | 0.615846i | \(-0.788814\pi\) |
0.469678 | + | 0.882838i | \(0.344370\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −6.67819 | + | 37.8739i | −0.230282 | + | 1.30600i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −1.53656 | + | 1.21152i | −0.0529218 | + | 0.0417269i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 17.6476 | 0.607097 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 7.22254 | + | 10.9945i | 0.248170 | + | 0.377777i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −24.9724 | − | 22.2852i | −0.857049 | − | 0.764825i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 0.122128 | + | 0.0215345i | 0.00418650 | + | 0.000738193i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 2.46979 | − | 6.78570i | 0.0845641 | − | 0.232338i | −0.890202 | − | 0.455566i | \(-0.849437\pi\) |
0.974766 | + | 0.223228i | \(0.0716593\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 7.33183 | + | 24.7376i | 0.250743 | + | 0.846007i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −8.21388 | + | 6.89226i | −0.280581 | + | 0.235435i | −0.772207 | − | 0.635371i | \(-0.780847\pi\) |
0.491626 | + | 0.870806i | \(0.336403\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 1.41545 | + | 0.249581i | 0.0482944 | + | 0.00851560i | 0.197743 | − | 0.980254i | \(-0.436639\pi\) |
−0.149449 | + | 0.988769i | \(0.547750\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 4.74654 | − | 2.91510i | 0.161762 | − | 0.0993463i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −8.11258 | − | 4.68380i | −0.276156 | − | 0.159439i | 0.355526 | − | 0.934666i | \(-0.384302\pi\) |
−0.631682 | + | 0.775228i | \(0.717635\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −30.5279 | − | 52.8759i | −1.03798 | − | 1.79784i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −52.5829 | − | 32.5336i | −1.78581 | − | 1.10490i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 19.5533 | + | 53.7221i | 0.663299 | + | 1.82240i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −14.4673 | − | 17.2415i | −0.490206 | − | 0.584204i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 30.4426 | − | 3.47334i | 1.03033 | − | 0.117555i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −57.7226 | − | 17.3157i | −1.95138 | − | 0.585377i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 24.5016 | − | 8.91784i | 0.827359 | − | 0.301134i | 0.106584 | − | 0.994304i | \(-0.466009\pi\) |
0.720775 | + | 0.693170i | \(0.243786\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −23.5930 | + | 26.4378i | −0.795770 | + | 0.891726i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −15.3210 | + | 26.5368i | −0.516179 | + | 0.894048i | 0.483645 | + | 0.875264i | \(0.339313\pi\) |
−0.999824 | + | 0.0187834i | \(0.994021\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 2.50187 | + | 4.33337i | 0.0841946 | + | 0.145829i | 0.905048 | − | 0.425310i | \(-0.139835\pi\) |
−0.820853 | + | 0.571139i | \(0.806502\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −91.6813 | + | 13.3005i | −3.08183 | + | 0.447092i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −24.9127 | − | 20.9042i | −0.836486 | − | 0.701895i | 0.120284 | − | 0.992739i | \(-0.461619\pi\) |
−0.956770 | + | 0.290844i | \(0.906064\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 11.5474 | − | 10.8824i | 0.387288 | − | 0.364984i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −16.3193 | + | 32.0533i | −0.546716 | + | 1.07383i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 5.86131 | − | 16.1038i | 0.196141 | − | 0.538893i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −15.8923 | − | 2.80225i | −0.531222 | − | 0.0936687i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 1.23707 | − | 3.10145i | 0.0413046 | − | 0.103554i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −8.53709 | + | 14.7867i | −0.284728 | + | 0.493163i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −37.3901 | + | 21.5872i | −1.24565 | + | 0.719174i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −1.65598 | + | 2.08605i | −0.0551075 | + | 0.0694194i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 10.3484 | + | 28.4319i | 0.343991 | + | 0.945108i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −3.36434 | − | 19.0801i | −0.111711 | − | 0.633545i | −0.988326 | − | 0.152353i | \(-0.951315\pi\) |
0.876615 | − | 0.481192i | \(-0.159796\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −32.2858 | − | 14.0323i | −1.07085 | − | 0.465420i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −12.8670 | + | 2.26880i | −0.426304 | + | 0.0751688i | −0.382684 | − | 0.923879i | \(-0.625000\pi\) |
−0.0436198 | + | 0.999048i | \(0.513889\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 20.5326 | − | 24.4697i | 0.679528 | − | 0.809830i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 34.5228 | + | 64.2379i | 1.14129 | + | 2.12364i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 7.80927 | − | 15.5282i | 0.257885 | − | 0.512786i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −22.2263 | + | 38.4971i | −0.733178 | + | 1.26990i | 0.222340 | + | 0.974969i | \(0.428630\pi\) |
−0.955518 | + | 0.294932i | \(0.904703\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 23.1067 | + | 42.9956i | 0.761393 | + | 1.41675i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −2.93143 | + | 1.06695i | −0.0964892 | + | 0.0351192i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 0.350873 | + | 1.98990i | 0.0115366 | + | 0.0654275i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −5.44204 | − | 18.3614i | −0.178740 | − | 0.603068i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 20.4425 | − | 17.1533i | 0.670695 | − | 0.562780i | −0.242576 | − | 0.970132i | \(-0.577992\pi\) |
0.913271 | + | 0.407352i | \(0.133548\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −6.79513 | − | 13.5675i | −0.222701 | − | 0.444656i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 11.9668 | − | 13.4098i | 0.391776 | − | 0.439018i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | − | 115.107i | − | 3.76439i | ||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 9.13851 | − | 5.27612i | 0.298542 | − | 0.172363i | −0.343246 | − | 0.939246i | \(-0.611526\pi\) |
0.641788 | + | 0.766882i | \(0.278193\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −5.08934 | − | 35.0811i | −0.166084 | − | 1.14483i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −25.6527 | + | 9.33682i | −0.836255 | + | 0.304372i | −0.724423 | − | 0.689355i | \(-0.757894\pi\) |
−0.111831 | + | 0.993727i | \(0.535672\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −0.789126 | + | 0.139144i | −0.0256975 | + | 0.00453116i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 1.84148 | − | 54.5130i | 0.0599033 | − | 1.77331i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 18.0429 | − | 3.18145i | 0.586315 | − | 0.103383i | 0.127381 | − | 0.991854i | \(-0.459343\pi\) |
0.458933 | + | 0.888471i | \(0.348232\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 9.15665 | − | 3.33275i | 0.297237 | − | 0.108186i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 5.53966 | − | 4.36783i | 0.179636 | − | 0.141636i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −52.3480 | + | 30.2231i | −1.69572 | + | 0.979023i | −0.745983 | + | 0.665965i | \(0.768020\pi\) |
−0.949734 | + | 0.313058i | \(0.898647\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | − | 63.5810i | − | 2.05743i | ||||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 17.8087 | + | 53.9923i | 0.575674 | + | 1.74532i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −42.1490 | − | 4.95007i | −1.36106 | − | 0.159846i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 20.4368 | − | 17.1485i | 0.659253 | − | 0.553179i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −2.35870 | + | 38.6641i | −0.0760081 | + | 1.24593i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −12.6301 | − | 71.6290i | −0.406578 | − | 2.30582i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 1.14038 | − | 0.415063i | 0.0366721 | − | 0.0133475i | −0.323619 | − | 0.946187i | \(-0.604900\pi\) |
0.360291 | + | 0.932840i | \(0.382677\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 14.3408 | − | 23.1786i | 0.460694 | − | 0.744603i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −5.22774 | + | 9.05472i | −0.167766 | + | 0.290580i | −0.937634 | − | 0.347624i | \(-0.886989\pi\) |
0.769868 | + | 0.638203i | \(0.220322\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −3.42083 | − | 59.2965i | −0.109667 | − | 1.90096i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 54.3799 | + | 1.65718i | 1.74155 | + | 0.0530722i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 1.16217 | − | 1.38502i | 0.0371812 | − | 0.0443108i | −0.747133 | − | 0.664674i | \(-0.768570\pi\) |
0.784315 | + | 0.620363i | \(0.213015\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 34.1013 | − | 6.01298i | 1.08988 | − | 0.192176i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −3.81506 | + | 5.76589i | −0.121805 | + | 0.184091i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −5.11132 | − | 28.9877i | −0.163026 | − | 0.924565i | −0.951077 | − | 0.308955i | \(-0.900021\pi\) |
0.788051 | − | 0.615610i | \(-0.211090\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −13.0978 | − | 35.9860i | −0.417332 | − | 1.14661i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −22.5249 | + | 28.3748i | −0.716976 | + | 0.903181i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 0.331814 | − | 0.191573i | 0.0105511 | − | 0.00609166i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 1.23131 | − | 2.13269i | 0.0391138 | − | 0.0677471i | −0.845806 | − | 0.533491i | \(-0.820880\pi\) |
0.884920 | + | 0.465744i | \(0.154213\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −4.19698 | − | 5.32298i | −0.133187 | − | 0.168920i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 41.3155 | + | 7.28504i | 1.30979 | + | 0.230951i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 9.78734 | − | 26.8905i | 0.309968 | − | 0.851630i | −0.682693 | − | 0.730705i | \(-0.739192\pi\) |
0.992662 | − | 0.120926i | \(-0.0385862\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −0.887610 | + | 0.409447i | −0.0280827 | + | 0.0129543i |
(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 | 756.2.ck.a.5.6 | yes | 144 | |
7.3 | odd | 6 | 756.2.ca.a.437.13 | yes | 144 | ||
27.11 | odd | 18 | 756.2.ca.a.173.13 | ✓ | 144 | ||
189.38 | even | 18 | inner | 756.2.ck.a.605.6 | yes | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
756.2.ca.a.173.13 | ✓ | 144 | 27.11 | odd | 18 | ||
756.2.ca.a.437.13 | yes | 144 | 7.3 | odd | 6 | ||
756.2.ck.a.5.6 | yes | 144 | 1.1 | even | 1 | trivial | |
756.2.ck.a.605.6 | yes | 144 | 189.38 | even | 18 | inner |