Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [756,2,Mod(25,756)]
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, 10, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("756.25");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 756 = 2^{2} \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 756.bq (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.03669039281\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 25.14 | ||
Character | \(\chi\) | \(=\) | 756.25 |
Dual form | 756.2.bq.a.121.14 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/756\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{5}{9}\right)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) |
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 | ||||||||
\(3\) | 0.280333 | + | 1.70921i | 0.161850 | + | 0.986815i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −0.659448 | − | 0.240019i | −0.294914 | − | 0.107340i | 0.190326 | − | 0.981721i | \(-0.439046\pi\) |
−0.485240 | + | 0.874381i | \(0.661268\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.50760 | + | 0.843777i | −0.947782 | + | 0.318918i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −2.84283 | + | 0.958297i | −0.947609 | + | 0.319432i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −0.525560 | + | 0.191288i | −0.158462 | + | 0.0576756i | −0.420033 | − | 0.907509i | \(-0.637982\pi\) |
0.261571 | + | 0.965184i | \(0.415759\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.543997 | − | 3.08516i | −0.150878 | − | 0.855670i | −0.962458 | − | 0.271430i | \(-0.912504\pi\) |
0.811581 | − | 0.584241i | \(-0.198608\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0.225380 | − | 1.19442i | 0.0581928 | − | 0.308399i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −1.80939 | −0.438841 | −0.219421 | − | 0.975630i | \(-0.570417\pi\) | ||||
−0.219421 | + | 0.975630i | \(0.570417\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.99382 | −0.457414 | −0.228707 | − | 0.973495i | \(-0.573450\pi\) | ||||
−0.228707 | + | 0.973495i | \(0.573450\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −2.14516 | − | 4.04948i | −0.468112 | − | 0.883669i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 0.119031 | + | 0.675057i | 0.0248196 | + | 0.140759i | 0.994699 | − | 0.102825i | \(-0.0327881\pi\) |
−0.969880 | + | 0.243584i | \(0.921677\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −3.45296 | − | 2.89738i | −0.690592 | − | 0.579476i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −2.43487 | − | 4.59036i | −0.468591 | − | 0.883415i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 0.549388 | − | 3.11573i | 0.102019 | − | 0.578577i | −0.890351 | − | 0.455276i | \(-0.849541\pi\) |
0.992369 | − | 0.123301i | \(-0.0393482\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −1.47465 | + | 1.23738i | −0.264856 | + | 0.222240i | −0.765538 | − | 0.643391i | \(-0.777527\pi\) |
0.500682 | + | 0.865631i | \(0.333083\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −0.474284 | − | 0.844671i | −0.0825623 | − | 0.147038i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 1.85615 | + | 0.0454446i | 0.313747 | + | 0.00768153i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −4.50618 | + | 7.80493i | −0.740812 | + | 1.28312i | 0.211315 | + | 0.977418i | \(0.432226\pi\) |
−0.952126 | + | 0.305705i | \(0.901108\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 5.12070 | − | 1.79468i | 0.819969 | − | 0.287379i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −1.29750 | − | 7.35847i | −0.202635 | − | 1.14920i | −0.901118 | − | 0.433574i | \(-0.857252\pi\) |
0.698483 | − | 0.715626i | \(-0.253859\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −4.66215 | − | 3.91200i | −0.710971 | − | 0.596575i | 0.213901 | − | 0.976855i | \(-0.431383\pi\) |
−0.924871 | + | 0.380280i | \(0.875828\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 2.10471 | + | 0.0503869i | 0.313751 | + | 0.00751124i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 6.65676 | + | 5.58568i | 0.970988 | + | 0.814755i | 0.982705 | − | 0.185176i | \(-0.0592855\pi\) |
−0.0117178 | + | 0.999931i | \(0.503730\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 5.57608 | − | 4.23171i | 0.796583 | − | 0.604529i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −0.507231 | − | 3.09263i | −0.0710265 | − | 0.433055i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −3.82517 | + | 6.62539i | −0.525428 | + | 0.910067i | 0.474134 | + | 0.880453i | \(0.342761\pi\) |
−0.999561 | + | 0.0296145i | \(0.990572\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.392492 | 0.0529236 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −0.558933 | − | 3.40787i | −0.0740325 | − | 0.451383i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 1.72212 | + | 9.76661i | 0.224201 | + | 1.27150i | 0.864207 | + | 0.503136i | \(0.167820\pi\) |
−0.640007 | + | 0.768369i | \(0.721069\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −3.95950 | − | 3.32242i | −0.506962 | − | 0.425392i | 0.353096 | − | 0.935587i | \(-0.385129\pi\) |
−0.860059 | + | 0.510195i | \(0.829573\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 6.32007 | − | 4.80173i | 0.796255 | − | 0.604962i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −0.381761 | + | 2.16507i | −0.0473516 | + | 0.268544i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −4.61306 | − | 1.67902i | −0.563575 | − | 0.205125i | 0.0444924 | − | 0.999010i | \(-0.485833\pi\) |
−0.608068 | + | 0.793885i | \(0.708055\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −1.12045 | + | 0.392689i | −0.134886 | + | 0.0472742i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 5.11308 | + | 8.85611i | 0.606811 | + | 1.05103i | 0.991762 | + | 0.128090i | \(0.0408848\pi\) |
−0.384952 | + | 0.922937i | \(0.625782\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −4.40383 | − | 7.62765i | −0.515429 | − | 0.892749i | −0.999840 | − | 0.0179083i | \(-0.994299\pi\) |
0.484411 | − | 0.874841i | \(-0.339034\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 3.98426 | − | 6.71408i | 0.460063 | − | 0.775275i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 1.15649 | − | 0.923130i | 0.131794 | − | 0.105200i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −10.1284 | + | 3.68644i | −1.13954 | + | 0.414757i | −0.841746 | − | 0.539874i | \(-0.818472\pi\) |
−0.297791 | + | 0.954631i | \(0.596250\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 7.16333 | − | 5.44854i | 0.795926 | − | 0.605394i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 2.47063 | − | 14.0117i | 0.271187 | − | 1.53798i | −0.479631 | − | 0.877470i | \(-0.659230\pi\) |
0.750818 | − | 0.660509i | \(-0.229659\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 1.19320 | + | 0.434288i | 0.129420 | + | 0.0471052i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 5.47946 | + | 0.0655802i | 0.587460 | + | 0.00703093i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −3.39570 | −0.359943 | −0.179971 | − | 0.983672i | \(-0.557601\pi\) | ||||
−0.179971 | + | 0.983672i | \(0.557601\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 3.96732 | + | 7.27733i | 0.415888 | + | 0.762872i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −2.52835 | − | 2.17362i | −0.262177 | − | 0.225394i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 1.31482 | + | 0.478556i | 0.134898 | + | 0.0490988i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −3.35109 | − | 2.81190i | −0.340252 | − | 0.285505i | 0.456610 | − | 0.889667i | \(-0.349064\pi\) |
−0.796862 | + | 0.604162i | \(0.793508\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 1.31077 | − | 1.04744i | 0.131737 | − | 0.105272i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −1.17409 | + | 6.65859i | −0.116826 | + | 0.662555i | 0.869003 | + | 0.494806i | \(0.164761\pi\) |
−0.985830 | + | 0.167749i | \(0.946350\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −1.91678 | − | 0.697652i | −0.188866 | − | 0.0687417i | 0.245856 | − | 0.969306i | \(-0.420931\pi\) |
−0.434722 | + | 0.900565i | \(0.643153\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0.442665 | + | 3.18530i | 0.0431997 | + | 0.310853i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 8.93589 | + | 15.4774i | 0.863865 | + | 1.49626i | 0.868170 | + | 0.496267i | \(0.165296\pi\) |
−0.00430493 | + | 0.999991i | \(0.501370\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 0.570577 | − | 0.988268i | 0.0546514 | − | 0.0946589i | −0.837405 | − | 0.546582i | \(-0.815929\pi\) |
0.892057 | + | 0.451923i | \(0.149262\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −14.6035 | − | 5.51405i | −1.38611 | − | 0.523371i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −12.5323 | + | 10.5159i | −1.17894 | + | 0.989252i | −0.178959 | + | 0.983857i | \(0.557273\pi\) |
−0.999985 | + | 0.00539516i | \(0.998283\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.0835321 | − | 0.473734i | 0.00778941 | − | 0.0441759i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 4.50299 | + | 8.24927i | 0.416302 | + | 0.762646i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 4.53722 | − | 1.52672i | 0.415926 | − | 0.139954i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −8.18687 | + | 6.86960i | −0.744261 | + | 0.624509i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 12.2135 | − | 4.28052i | 1.10125 | − | 0.385961i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 3.33604 | + | 5.77820i | 0.298385 | + | 0.516818i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −6.95202 | + | 12.0412i | −0.616892 | + | 1.06849i | 0.373158 | + | 0.927768i | \(0.378275\pi\) |
−0.990049 | + | 0.140720i | \(0.955058\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 5.37950 | − | 9.06527i | 0.473639 | − | 0.798152i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −0.965391 | − | 5.47501i | −0.0843466 | − | 0.478353i | −0.997496 | − | 0.0707276i | \(-0.977468\pi\) |
0.913149 | − | 0.407626i | \(-0.133643\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 4.99970 | − | 1.68234i | 0.433529 | − | 0.145878i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 0.503895 | + | 3.61152i | 0.0433684 | + | 0.310830i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 8.15680 | + | 6.84437i | 0.696882 | + | 0.584754i | 0.920885 | − | 0.389835i | \(-0.127468\pi\) |
−0.224003 | + | 0.974589i | \(0.571912\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 7.06844 | + | 2.57270i | 0.599537 | + | 0.218214i | 0.623919 | − | 0.781489i | \(-0.285540\pi\) |
−0.0243818 | + | 0.999703i | \(0.507762\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −7.68102 | + | 12.9437i | −0.646859 | + | 1.09005i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 0.876059 | + | 1.51738i | 0.0732597 | + | 0.126890i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −1.11013 | + | 1.92280i | −0.0921911 | + | 0.159680i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 8.79605 | + | 8.34443i | 0.725486 | + | 0.688237i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −8.69445 | + | 7.29551i | −0.712277 | + | 0.597671i | −0.925237 | − | 0.379390i | \(-0.876134\pi\) |
0.212960 | + | 0.977061i | \(0.431690\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 3.38454 | − | 1.23187i | 0.275430 | − | 0.100248i | −0.200612 | − | 0.979671i | \(-0.564293\pi\) |
0.476042 | + | 0.879422i | \(0.342071\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 5.14378 | − | 1.73393i | 0.415850 | − | 0.140180i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 1.26945 | − | 0.462043i | 0.101965 | − | 0.0371122i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 0.665989 | + | 3.77701i | 0.0531517 | + | 0.301438i | 0.999782 | − | 0.0208834i | \(-0.00664788\pi\) |
−0.946630 | + | 0.322322i | \(0.895537\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −12.3965 | − | 4.68072i | −0.983109 | − | 0.371206i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −0.868079 | − | 1.59233i | −0.0684142 | − | 0.125494i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 1.17792 | + | 2.04022i | 0.0922620 | + | 0.159802i | 0.908463 | − | 0.417966i | \(-0.137257\pi\) |
−0.816201 | + | 0.577769i | \(0.803924\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0.110028 | + | 0.670853i | 0.00856570 | + | 0.0522259i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −1.08246 | + | 0.908295i | −0.0837636 | + | 0.0702860i | −0.683708 | − | 0.729756i | \(-0.739634\pi\) |
0.599944 | + | 0.800042i | \(0.295189\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 2.99371 | − | 1.08962i | 0.230285 | − | 0.0838170i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 5.66809 | − | 1.91067i | 0.433450 | − | 0.146113i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 1.90904 | − | 10.8267i | 0.145142 | − | 0.823141i | −0.822111 | − | 0.569327i | \(-0.807204\pi\) |
0.967253 | − | 0.253814i | \(-0.0816850\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 11.1034 | + | 4.35192i | 0.839336 | + | 0.328975i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −16.2105 | + | 5.68137i | −1.21845 | + | 0.427038i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 17.5061 | 1.30846 | 0.654232 | − | 0.756294i | \(-0.272992\pi\) | ||||
0.654232 | + | 0.756294i | \(0.272992\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −4.47039 | + | 7.74295i | −0.332282 | + | 0.575529i | −0.982959 | − | 0.183826i | \(-0.941152\pi\) |
0.650677 | + | 0.759355i | \(0.274485\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 4.56875 | − | 7.69902i | 0.337731 | − | 0.569128i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 4.84493 | − | 4.06537i | 0.356206 | − | 0.298892i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0.950943 | − | 0.346115i | 0.0695398 | − | 0.0253104i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 9.97892 | + | 9.45628i | 0.725859 | + | 0.687843i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 15.0786 | − | 5.48816i | 1.09105 | − | 0.397109i | 0.267040 | − | 0.963686i | \(-0.413955\pi\) |
0.824009 | + | 0.566576i | \(0.191732\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −5.14426 | + | 4.31655i | −0.370292 | + | 0.310712i | −0.808877 | − | 0.587978i | \(-0.799924\pi\) |
0.438585 | + | 0.898690i | \(0.355480\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −3.80759 | − | 0.0455706i | −0.272667 | − | 0.00326338i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 5.34148 | − | 9.25172i | 0.380565 | − | 0.659158i | −0.610578 | − | 0.791956i | \(-0.709063\pi\) |
0.991143 | + | 0.132798i | \(0.0423962\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −2.30162 | −0.163158 | −0.0815789 | − | 0.996667i | \(-0.525996\pi\) | ||||
−0.0815789 | + | 0.996667i | \(0.525996\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 1.57661 | − | 8.35540i | 0.111205 | − | 0.589344i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 1.25134 | + | 8.27656i | 0.0878270 | + | 0.580901i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −0.910544 | + | 5.16395i | −0.0635951 | + | 0.360666i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −0.985288 | − | 1.80500i | −0.0684823 | − | 0.125456i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 1.04787 | − | 0.381395i | 0.0724829 | − | 0.0263816i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 15.5655 | − | 13.0610i | 1.07158 | − | 0.899159i | 0.0763819 | − | 0.997079i | \(-0.475663\pi\) |
0.995194 | + | 0.0979194i | \(0.0312187\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −13.7036 | + | 11.2220i | −0.938957 | + | 0.768919i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 2.13548 | + | 3.69877i | 0.145639 | + | 0.252254i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 2.65376 | − | 4.34714i | 0.180149 | − | 0.295103i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 11.8028 | − | 9.66536i | 0.797556 | − | 0.653125i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 0.984303 | + | 5.58226i | 0.0662114 | + | 0.375503i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −20.5737 | + | 7.48820i | −1.37772 | + | 0.501447i | −0.921485 | − | 0.388414i | \(-0.873023\pi\) |
−0.456230 | + | 0.889862i | \(0.650801\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 12.5927 | + | 4.92778i | 0.839515 | + | 0.328519i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −12.1241 | + | 4.41282i | −0.804707 | + | 0.292889i | −0.711435 | − | 0.702752i | \(-0.751955\pi\) |
−0.0932712 | + | 0.995641i | \(0.529732\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 14.2783 | − | 11.9809i | 0.943537 | − | 0.791721i | −0.0346605 | − | 0.999399i | \(-0.511035\pi\) |
0.978197 | + | 0.207678i | \(0.0665905\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 1.90203 | + | 1.71790i | 0.125144 | + | 0.113030i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −9.96630 | + | 17.2621i | −0.652914 | + | 1.13088i | 0.329498 | + | 0.944156i | \(0.393120\pi\) |
−0.982412 | + | 0.186724i | \(0.940213\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −3.04911 | − | 5.28121i | −0.198902 | − | 0.344508i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −9.14025 | − | 16.2782i | −0.593723 | − | 1.05738i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −3.38393 | − | 1.23165i | −0.218888 | − | 0.0796687i | 0.230249 | − | 0.973132i | \(-0.426046\pi\) |
−0.449136 | + | 0.893463i | \(0.648268\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −2.37751 | − | 1.99497i | −0.153149 | − | 0.128507i | 0.562994 | − | 0.826461i | \(-0.309650\pi\) |
−0.716143 | + | 0.697954i | \(0.754094\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 11.3208 | + | 10.7163i | 0.726233 | + | 0.687449i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −4.69282 | + | 1.45222i | −0.299813 | + | 0.0927790i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 1.08463 | + | 6.15126i | 0.0690136 | + | 0.391396i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 24.6415 | + | 0.294918i | 1.56159 | + | 0.0186897i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 12.7734 | − | 22.1242i | 0.806250 | − | 1.39647i | −0.109194 | − | 0.994020i | \(-0.534827\pi\) |
0.915444 | − | 0.402446i | \(-0.131840\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −0.191688 | − | 0.332014i | −0.0120513 | − | 0.0208735i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −0.407800 | + | 2.16117i | −0.0255374 | + | 0.135338i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −0.501050 | + | 0.420431i | −0.0312547 | + | 0.0262258i | −0.658281 | − | 0.752772i | \(-0.728716\pi\) |
0.627027 | + | 0.778998i | \(0.284272\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 4.71406 | − | 23.3738i | 0.292917 | − | 1.45238i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 1.42398 | + | 9.38396i | 0.0881422 | + | 0.580853i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 1.28375 | − | 7.28050i | 0.0791594 | − | 0.448935i | −0.919305 | − | 0.393545i | \(-0.871249\pi\) |
0.998465 | − | 0.0553902i | \(-0.0176403\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 4.11272 | − | 3.45098i | 0.252642 | − | 0.211992i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −0.951924 | − | 5.80397i | −0.0582568 | − | 0.355197i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 0.956177 | − | 1.65615i | 0.0582991 | − | 0.100977i | −0.835403 | − | 0.549638i | \(-0.814766\pi\) |
0.893702 | + | 0.448661i | \(0.148099\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 0.979980 | + | 1.69738i | 0.0595295 | + | 0.103108i | 0.894254 | − | 0.447559i | \(-0.147707\pi\) |
−0.834725 | + | 0.550667i | \(0.814373\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −11.3263 | + | 8.82107i | −0.685502 | + | 0.533875i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 2.36897 | + | 0.862236i | 0.142854 | + | 0.0519948i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −0.307041 | + | 1.74131i | −0.0184483 | + | 0.104625i | −0.992641 | − | 0.121090i | \(-0.961361\pi\) |
0.974193 | + | 0.225716i | \(0.0724721\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 3.00641 | − | 4.93082i | 0.179989 | − | 0.295201i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −22.4626 | − | 18.8483i | −1.34000 | − | 1.12440i | −0.981625 | − | 0.190820i | \(-0.938885\pi\) |
−0.358378 | − | 0.933576i | \(-0.616670\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −13.3084 | − | 4.84385i | −0.791100 | − | 0.287937i | −0.0853069 | − | 0.996355i | \(-0.527187\pi\) |
−0.705793 | + | 0.708418i | \(0.749409\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −0.449367 | + | 2.38147i | −0.0266182 | + | 0.141066i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 9.46251 | + | 17.3573i | 0.558554 | + | 1.02457i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −13.7261 | −0.807418 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 3.86672 | − | 6.51600i | 0.226671 | − | 0.381975i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −3.79313 | − | 1.38059i | −0.221597 | − | 0.0806546i | 0.228836 | − | 0.973465i | \(-0.426508\pi\) |
−0.450433 | + | 0.892810i | \(0.648730\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 1.20853 | − | 6.85391i | 0.0703633 | − | 0.399050i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 2.15775 | + | 1.94675i | 0.125206 | + | 0.112962i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 2.01791 | − | 0.734458i | 0.116699 | − | 0.0424748i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 14.9916 | + | 5.87592i | 0.864104 | + | 0.338682i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −11.7101 | − | 0.140151i | −0.672728 | − | 0.00805144i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 1.81364 | + | 3.14132i | 0.103849 | + | 0.179871i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 12.1755 | + | 21.0886i | 0.694894 | + | 1.20359i | 0.970216 | + | 0.242240i | \(0.0778822\pi\) |
−0.275322 | + | 0.961352i | \(0.588784\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0.655101 | − | 3.47177i | 0.0372674 | − | 0.197502i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −3.81199 | − | 1.38745i | −0.216158 | − | 0.0786751i | 0.231671 | − | 0.972794i | \(-0.425581\pi\) |
−0.447829 | + | 0.894119i | \(0.647803\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 3.61741 | − | 20.5154i | 0.204468 | − | 1.15960i | −0.693806 | − | 0.720162i | \(-0.744067\pi\) |
0.898274 | − | 0.439435i | \(-0.144821\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −5.32027 | + | 1.64955i | −0.299763 | + | 0.0929418i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 5.58939 | + | 4.69005i | 0.313931 | + | 0.263420i | 0.786115 | − | 0.618081i | \(-0.212090\pi\) |
−0.472183 | + | 0.881500i | \(0.656534\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0.307267 | + | 1.74260i | 0.0172036 | + | 0.0975666i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −23.9492 | + | 19.6122i | −1.33671 | + | 1.09464i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 3.60760 | 0.200732 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −7.06048 | + | 12.2291i | −0.391645 | + | 0.678349i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 1.84911 | + | 0.698194i | 0.102256 | + | 0.0386102i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −21.4055 | − | 8.38981i | −1.18012 | − | 0.462545i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −0.735834 | − | 0.617438i | −0.0404451 | − | 0.0339375i | 0.622341 | − | 0.782746i | \(-0.286182\pi\) |
−0.662786 | + | 0.748809i | \(0.730626\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 5.33085 | − | 26.5063i | 0.292129 | − | 1.45254i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 2.63908 | + | 2.21445i | 0.144188 | + | 0.120988i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −3.50094 | − | 19.8548i | −0.190708 | − | 1.08156i | −0.918399 | − | 0.395655i | \(-0.870518\pi\) |
0.727691 | − | 0.685905i | \(-0.240593\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −21.4871 | − | 18.4725i | −1.16702 | − | 1.00329i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 0.538323 | − | 0.932403i | 0.0291518 | − | 0.0504925i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −10.4119 | + | 15.3164i | −0.562192 | + | 0.827007i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0.833130 | + | 0.00997120i | 0.0448542 | + | 0.000536831i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −15.9155 | + | 13.3547i | −0.854388 | + | 0.716916i | −0.960751 | − | 0.277411i | \(-0.910524\pi\) |
0.106364 | + | 0.994327i | \(0.466079\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −0.586775 | + | 3.32777i | −0.0314094 | + | 0.178131i | −0.996477 | − | 0.0838709i | \(-0.973272\pi\) |
0.965067 | + | 0.262002i | \(0.0843828\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −12.8374 | + | 10.0091i | −0.685212 | + | 0.534247i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −4.89223 | − | 4.10507i | −0.260387 | − | 0.218491i | 0.503242 | − | 0.864145i | \(-0.332140\pi\) |
−0.763630 | + | 0.645654i | \(0.776585\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −1.24617 | − | 7.06738i | −0.0661398 | − | 0.375098i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 3.88142 | + | 7.32709i | 0.205427 | + | 0.387791i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −8.28841 | −0.437446 | −0.218723 | − | 0.975787i | \(-0.570189\pi\) | ||||
−0.218723 | + | 0.975787i | \(0.570189\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −15.0247 | −0.790772 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −14.0367 | − | 12.0673i | −0.736733 | − | 0.633371i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 1.07331 | + | 6.08704i | 0.0561796 | + | 0.318610i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −18.6285 | + | 6.78022i | −0.972400 | + | 0.353925i | −0.778881 | − | 0.627172i | \(-0.784212\pi\) |
−0.193519 | + | 0.981097i | \(0.561990\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 10.7402 | + | 19.6755i | 0.559110 | + | 1.02426i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 4.00163 | − | 19.8414i | 0.207754 | − | 1.03011i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 10.7960 | + | 3.92941i | 0.558993 | + | 0.203457i | 0.606038 | − | 0.795436i | \(-0.292758\pi\) |
−0.0470444 | + | 0.998893i | \(0.514980\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −8.94098 | + | 7.32183i | −0.461710 | + | 0.378098i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −9.91141 | −0.510463 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 3.50993 | 0.180293 | 0.0901465 | − | 0.995929i | \(-0.471266\pi\) | ||||
0.0901465 | + | 0.995929i | \(0.471266\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −22.5299 | − | 8.50693i | −1.15424 | − | 0.435823i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −34.1046 | − | 12.4131i | −1.74267 | − | 0.634278i | −0.743268 | − | 0.668994i | \(-0.766725\pi\) |
−0.999397 | + | 0.0347155i | \(0.988947\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −0.984212 | + | 0.331176i | −0.0501601 | + | 0.0168783i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 17.0025 | + | 6.65344i | 0.864288 | + | 0.338213i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 19.8756 | − | 7.23414i | 1.00774 | − | 0.366786i | 0.215173 | − | 0.976576i | \(-0.430969\pi\) |
0.792563 | + | 0.609790i | \(0.208746\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −0.215373 | − | 1.22144i | −0.0108919 | − | 0.0617709i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 9.08733 | − | 3.18488i | 0.458395 | − | 0.160656i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 7.56398 | 0.380585 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 34.7847 | 1.74579 | 0.872896 | − | 0.487907i | \(-0.162239\pi\) | ||||
0.872896 | + | 0.487907i | \(0.162239\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 4.27706 | + | 8.07394i | 0.214121 | + | 0.404203i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −4.90680 | − | 27.8279i | −0.245034 | − | 1.38966i | −0.820414 | − | 0.571771i | \(-0.806257\pi\) |
0.575379 | − | 0.817887i | \(-0.304854\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 4.61973 | + | 3.87642i | 0.230125 | + | 0.193098i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −6.03160 | + | 1.87369i | −0.299713 | + | 0.0931044i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 0.875277 | − | 4.96394i | 0.0433859 | − | 0.246054i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 10.6378 | − | 8.92618i | 0.526006 | − | 0.441371i | −0.340714 | − | 0.940167i | \(-0.610669\pi\) |
0.866719 | + | 0.498796i | \(0.166224\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −9.41187 | + | 15.8604i | −0.464253 | + | 0.782336i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −12.5592 | − | 23.0376i | −0.617999 | − | 1.13361i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −4.99232 | + | 8.64695i | −0.245063 | + | 0.424462i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −2.41578 | + | 12.8027i | −0.118301 | + | 0.626950i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −5.27996 | − | 29.9441i | −0.257943 | − | 1.46287i | −0.788404 | − | 0.615157i | \(-0.789092\pi\) |
0.530462 | − | 0.847709i | \(-0.322019\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −15.8290 | − | 13.2821i | −0.771456 | − | 0.647329i | 0.169625 | − | 0.985509i | \(-0.445744\pi\) |
−0.941082 | + | 0.338180i | \(0.890189\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −24.2767 | − | 9.49998i | −1.18038 | − | 0.461905i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 6.24775 | + | 5.24248i | 0.303060 | + | 0.254298i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 12.7322 | + | 4.99034i | 0.616155 | + | 0.241500i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −2.34794 | + | 1.92274i | −0.113359 | + | 0.0928309i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −14.0582 | + | 24.3496i | −0.677161 | + | 1.17288i | 0.298671 | + | 0.954356i | \(0.403457\pi\) |
−0.975832 | + | 0.218522i | \(0.929877\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 4.63639 | 0.222811 | 0.111405 | − | 0.993775i | \(-0.464465\pi\) | ||||
0.111405 | + | 0.993775i | \(0.464465\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −3.59768 | − | 1.35842i | −0.172496 | − | 0.0651314i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −0.237326 | − | 1.34594i | −0.0113528 | − | 0.0643852i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −7.04324 | − | 5.90998i | −0.336155 | − | 0.282068i | 0.459047 | − | 0.888412i | \(-0.348191\pi\) |
−0.795202 | + | 0.606344i | \(0.792635\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −11.7966 | + | 17.3735i | −0.561743 | + | 0.827312i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −1.48068 | + | 8.39736i | −0.0703493 | + | 0.398971i | 0.929217 | + | 0.369534i | \(0.120483\pi\) |
−0.999567 | + | 0.0294370i | \(0.990629\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 2.23928 | + | 0.815032i | 0.106152 | + | 0.0386362i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −14.9069 | − | 12.8155i | −0.705073 | − | 0.606153i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 7.59222 | + | 13.1501i | 0.358299 | + | 0.620592i | 0.987677 | − | 0.156508i | \(-0.0500235\pi\) |
−0.629378 | + | 0.777099i | \(0.716690\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 2.08950 | + | 3.61912i | 0.0983908 | + | 0.170418i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 3.05433 | + | 5.43957i | 0.143505 | + | 0.255573i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −0.869538 | − | 5.75125i | −0.0407646 | − | 0.269623i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 10.2576 | − | 3.73345i | 0.479829 | − | 0.174644i | −0.0907706 | − | 0.995872i | \(-0.528933\pi\) |
0.570600 | + | 0.821228i | \(0.306711\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 4.40563 | + | 8.30575i | 0.205637 | + | 0.387679i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 4.38867 | − | 24.8894i | 0.204401 | − | 1.15921i | −0.693980 | − | 0.719995i | \(-0.744144\pi\) |
0.898380 | − | 0.439219i | \(-0.144745\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −3.48917 | − | 1.26996i | −0.162156 | − | 0.0590198i | 0.259667 | − | 0.965698i | \(-0.416387\pi\) |
−0.421822 | + | 0.906678i | \(0.638609\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 1.14560 | + | 2.04024i | 0.0531259 | + | 0.0946140i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −38.2160 | −1.76843 | −0.884214 | − | 0.467082i | \(-0.845305\pi\) | ||||
−0.884214 | + | 0.467082i | \(0.845305\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 12.9844 | + | 0.317901i | 0.599565 | + | 0.0146793i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −6.26902 | + | 2.19714i | −0.288861 | + | 0.101239i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 3.19856 | + | 1.16418i | 0.147070 | + | 0.0535291i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 6.88459 | + | 5.77685i | 0.315887 | + | 0.265060i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 4.52521 | − | 22.5005i | 0.207195 | − | 1.03023i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 4.23674 | − | 24.0277i | 0.193581 | − | 1.09785i | −0.720843 | − | 0.693098i | \(-0.756245\pi\) |
0.914424 | − | 0.404757i | \(-0.132644\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 26.5308 | + | 9.65644i | 1.20970 | + | 0.440296i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 2.47829 | − | 1.93012i | 0.112766 | − | 0.0878233i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 1.53496 | + | 2.65863i | 0.0696989 | + | 0.120722i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 6.09323 | − | 10.5538i | 0.276111 | − | 0.478238i | −0.694304 | − | 0.719682i | \(-0.744288\pi\) |
0.970415 | + | 0.241444i | \(0.0776211\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −3.15696 | + | 2.58526i | −0.142763 | + | 0.116910i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −1.72691 | + | 1.44905i | −0.0779344 | + | 0.0653947i | −0.680923 | − | 0.732355i | \(-0.738421\pi\) |
0.602988 | + | 0.797750i | \(0.293977\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −0.994056 | + | 5.63757i | −0.0447700 | + | 0.253903i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −1.11579 | + | 0.376124i | −0.0501509 | + | 0.0169055i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −20.2941 | − | 17.8933i | −0.910316 | − | 0.802622i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 16.7716 | − | 14.0730i | 0.750800 | − | 0.629996i | −0.184914 | − | 0.982755i | \(-0.559201\pi\) |
0.935714 | + | 0.352759i | \(0.114756\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −1.85592 | − | 1.59554i | −0.0829164 | − | 0.0712834i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 20.1970 | + | 34.9823i | 0.900540 | + | 1.55978i | 0.826794 | + | 0.562505i | \(0.190162\pi\) |
0.0737462 | + | 0.997277i | \(0.476505\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 2.37244 | − | 4.10919i | 0.105572 | − | 0.182857i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 2.70163 | + | 4.81143i | 0.119984 | + | 0.213683i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −4.92104 | − | 27.9086i | −0.218121 | − | 1.23703i | −0.875408 | − | 0.483385i | \(-0.839407\pi\) |
0.657287 | − | 0.753641i | \(-0.271704\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 17.4791 | + | 15.4112i | 0.773228 | + | 0.681752i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 4.85470 | + | 9.15236i | 0.214340 | + | 0.404086i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 1.09657 | + | 0.920130i | 0.0483206 | + | 0.0405458i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −4.56700 | − | 1.66225i | −0.200856 | − | 0.0731058i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 19.0404 | + | 0.227882i | 0.835779 | + | 0.0100029i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −22.3290 | − | 38.6749i | −0.978251 | − | 1.69438i | −0.668762 | − | 0.743476i | \(-0.733176\pi\) |
−0.309488 | − | 0.950903i | \(-0.600158\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 11.7262 | − | 20.3104i | 0.512751 | − | 0.888111i | −0.487139 | − | 0.873324i | \(-0.661960\pi\) |
0.999891 | − | 0.0147871i | \(-0.00470706\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −4.32573 | + | 20.1980i | −0.188791 | + | 0.881514i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 2.66822 | − | 2.23891i | 0.116230 | − | 0.0975283i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 21.1714 | − | 7.70576i | 0.920496 | − | 0.335033i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −14.2550 | − | 26.1145i | −0.618614 | − | 1.13327i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −21.9962 | + | 8.00598i | −0.952763 | + | 0.346777i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −2.17787 | − | 12.3513i | −0.0941576 | − | 0.533994i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 4.90752 | + | 29.9216i | 0.211775 | + | 1.29121i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −2.12109 | + | 3.29066i | −0.0913618 | + | 0.141739i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 10.7056 | + | 18.5426i | 0.460268 | + | 0.797208i | 0.998974 | − | 0.0452862i | \(-0.0144200\pi\) |
−0.538706 | + | 0.842494i | \(0.681087\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −14.4876 | − | 5.47026i | −0.621721 | − | 0.234751i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −0.613469 | + | 0.514762i | −0.0262781 | + | 0.0220500i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −29.6126 | + | 10.7781i | −1.26614 | + | 0.460838i | −0.885826 | − | 0.464018i | \(-0.846407\pi\) |
−0.380317 | + | 0.924856i | \(0.624185\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 14.4400 | + | 5.65068i | 0.616286 | + | 0.241165i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −1.09538 | + | 6.21221i | −0.0466648 | + | 0.264649i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 22.2875 | − | 17.7903i | 0.947759 | − | 0.756518i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 8.30679 | + | 7.14136i | 0.352603 | + | 0.303134i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 35.7572 | 1.51508 | 0.757540 | − | 0.652789i | \(-0.226401\pi\) | ||||
0.757540 | + | 0.652789i | \(0.226401\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −9.53298 | + | 16.5116i | −0.403202 | + | 0.698366i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0.858165 | + | 1.52834i | 0.0362317 | + | 0.0645265i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −15.0673 | + | 12.6430i | −0.635012 | + | 0.532838i | −0.902482 | − | 0.430728i | \(-0.858257\pi\) |
0.267470 | + | 0.963566i | \(0.413812\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 10.7884 | − | 3.92667i | 0.453873 | − | 0.165196i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −13.3654 | + | 19.7070i | −0.561294 | + | 0.827617i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 6.09890 | − | 2.21982i | 0.255679 | − | 0.0930596i | −0.211001 | − | 0.977486i | \(-0.567672\pi\) |
0.466680 | + | 0.884426i | \(0.345450\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −16.2794 | + | 13.6600i | −0.681272 | + | 0.571655i | −0.916378 | − | 0.400315i | \(-0.868901\pi\) |
0.235106 | + | 0.971970i | \(0.424456\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 13.6075 | + | 24.2340i | 0.568460 | + | 1.01239i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 1.54489 | − | 2.67582i | 0.0644262 | − | 0.111589i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 10.1412 | 0.422182 | 0.211091 | − | 0.977466i | \(-0.432298\pi\) | ||||
0.211091 | + | 0.977466i | \(0.432298\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −8.82001 | − | 7.58257i | −0.366547 | − | 0.315121i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 5.62737 | + | 37.2202i | 0.233463 | + | 1.54416i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 0.742998 | − | 4.21375i | 0.0307718 | − | 0.174516i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −0.989502 | − | 6.52077i | −0.0409109 | − | 0.269601i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 42.2710 | − | 15.3854i | 1.74471 | − | 0.635022i | 0.745216 | − | 0.666824i | \(-0.232347\pi\) |
0.999494 | + | 0.0318012i | \(0.0101243\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 2.94020 | − | 2.46712i | 0.121149 | − | 0.101656i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 17.3106 | + | 6.53618i | 0.712061 | + | 0.268863i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −15.8140 | − | 27.3906i | −0.649403 | − | 1.12480i | −0.983266 | − | 0.182177i | \(-0.941686\pi\) |
0.333863 | − | 0.942622i | \(-0.391648\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −3.35850 | − | 0.0822269i | −0.137685 | − | 0.00337097i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −0.645220 | − | 3.93397i | −0.0264071 | − | 0.161007i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −6.10230 | − | 34.6078i | −0.249333 | − | 1.41404i | −0.810210 | − | 0.586139i | \(-0.800647\pi\) |
0.560877 | − | 0.827899i | \(-0.310464\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 28.0424 | − | 10.2066i | 1.14387 | − | 0.416336i | 0.300563 | − | 0.953762i | \(-0.402826\pi\) |
0.843311 | + | 0.537426i | \(0.180603\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 14.7231 | + | 0.352474i | 0.599573 | + | 0.0143539i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 7.04764 | − | 2.56513i | 0.286528 | − | 0.104287i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −7.62286 | + | 6.39634i | −0.309402 | + | 0.259619i | −0.784245 | − | 0.620451i | \(-0.786949\pi\) |
0.474843 | + | 0.880071i | \(0.342505\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −13.7956 | + | 4.45900i | −0.559027 | + | 0.180688i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 13.6115 | − | 23.5758i | 0.550661 | − | 0.953774i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −10.1004 | − | 17.4944i | −0.407950 | − | 0.706590i | 0.586710 | − | 0.809797i | \(-0.300423\pi\) |
−0.994660 | + | 0.103207i | \(0.967090\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −9.08155 | − | 0.108691i | −0.366204 | − | 0.00438285i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −2.53938 | − | 0.924258i | −0.102232 | − | 0.0372092i | 0.290398 | − | 0.956906i | \(-0.406212\pi\) |
−0.392630 | + | 0.919697i | \(0.628435\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −10.1472 | − | 8.51450i | −0.407850 | − | 0.342227i | 0.415669 | − | 0.909516i | \(-0.363548\pi\) |
−0.823518 | + | 0.567290i | \(0.807992\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 2.80893 | − | 2.19007i | 0.112718 | − | 0.0878845i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 8.51503 | − | 2.86521i | 0.341148 | − | 0.114792i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 3.10055 | + | 17.5841i | 0.124022 | + | 0.703363i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 0.945638 | + | 1.68412i | 0.0377652 | + | 0.0672574i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 8.15343 | − | 14.1222i | 0.325099 | − | 0.563088i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 21.7654 | + | 37.6988i | 0.866466 | + | 1.50076i | 0.865584 | + | 0.500764i | \(0.166948\pi\) |
0.000882604 | 1.00000i | \(0.499719\pi\) | ||||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 26.6877 | + | 22.9434i | 1.06074 | + | 0.911919i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 7.47462 | − | 6.27195i | 0.296621 | − | 0.248895i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −16.0889 | − | 14.9011i | −0.637464 | − | 0.590402i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −23.0224 | − | 20.2766i | −0.910751 | − | 0.802128i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −6.01291 | + | 34.1009i | −0.237496 | + | 1.34691i | 0.599797 | + | 0.800152i | \(0.295248\pi\) |
−0.837293 | + | 0.546754i | \(0.815863\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −8.89383 | + | 7.46281i | −0.350739 | + | 0.294305i | −0.801087 | − | 0.598549i | \(-0.795744\pi\) |
0.450348 | + | 0.892853i | \(0.351300\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −5.72334 | + | 4.68688i | −0.225356 | + | 0.184546i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −20.0527 | + | 34.7324i | −0.788355 | + | 1.36547i | 0.138619 | + | 0.990346i | \(0.455734\pi\) |
−0.926974 | + | 0.375125i | \(0.877600\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −2.77332 | − | 4.80352i | −0.108862 | − | 0.188555i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 8.17412 | + | 3.31721i | 0.320369 | + | 0.130012i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 17.4722 | + | 6.35935i | 0.683739 | + | 0.248861i | 0.660452 | − | 0.750868i | \(-0.270365\pi\) |
0.0232869 | + | 0.999729i | \(0.492587\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −0.677482 | + | 3.84219i | −0.0264714 | + | 0.150127i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 19.8289 | + | 17.4639i | 0.773598 | + | 0.681333i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 21.3880 | + | 17.9467i | 0.833160 | + | 0.699104i | 0.956014 | − | 0.293320i | \(-0.0947603\pi\) |
−0.122854 | + | 0.992425i | \(0.539205\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 28.7989 | + | 10.4819i | 1.12015 | + | 0.407700i | 0.834705 | − | 0.550697i | \(-0.185638\pi\) |
0.285441 | + | 0.958396i | \(0.407860\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −9.26535 | + | 3.24727i | −0.359836 | + | 0.126114i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −3.70083 | − | 0.0906084i | −0.143512 | − | 0.00351364i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 2.16869 | 0.0839720 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −18.5664 | − | 33.0656i | −0.717819 | − | 1.27839i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 2.71650 | + | 0.988724i | 0.104869 | + | 0.0381693i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 4.12937 | − | 23.4188i | 0.159176 | − | 0.902730i | −0.795693 | − | 0.605701i | \(-0.792893\pi\) |
0.954868 | − | 0.297029i | \(-0.0959959\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −4.89249 | + | 22.9051i | −0.188312 | + | 0.881617i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −30.2639 | + | 11.0152i | −1.16314 | + | 0.423347i | −0.850217 | − | 0.526433i | \(-0.823529\pi\) |
−0.312920 | + | 0.949780i | \(0.601307\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 10.7758 | + | 4.22354i | 0.413538 | + | 0.162084i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −10.9412 | − | 19.4857i | −0.419269 | − | 0.746693i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 10.9638 | + | 18.9899i | 0.419519 | + | 0.726628i | 0.995891 | − | 0.0905591i | \(-0.0288654\pi\) |
−0.576372 | + | 0.817187i | \(0.695532\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −3.73620 | − | 6.47129i | −0.142753 | − | 0.247255i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 24.4806 | + | 21.0460i | 0.933994 | + | 0.802956i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 22.5213 | + | 8.19708i | 0.857993 | + | 0.312284i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −3.84472 | + | 21.8045i | −0.146260 | + | 0.829481i | 0.820087 | + | 0.572239i | \(0.193925\pi\) |
−0.966347 | + | 0.257242i | \(0.917186\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −2.40306 | + | 3.73256i | −0.0912849 | + | 0.141788i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −4.04377 | − | 3.39312i | −0.153389 | − | 0.128708i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 2.34768 | + | 13.3143i | 0.0889246 | + | 0.504316i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −32.2986 | − | 12.1954i | −1.22164 | − | 0.461273i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −5.16615 | −0.195123 | −0.0975614 | − | 0.995230i | \(-0.531104\pi\) | ||||
−0.0975614 | + | 0.995230i | \(0.531104\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 8.98452 | − | 15.5616i | 0.338858 | − | 0.586919i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 8.17196 | − | 6.69208i | 0.307774 | − | 0.252038i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −2.67423 | − | 17.6877i | −0.100575 | − | 0.665216i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −20.6339 | − | 17.3139i | −0.774921 | − | 0.650236i | 0.167043 | − | 0.985950i | \(-0.446578\pi\) |
−0.941964 | + | 0.335714i | \(0.891023\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 25.2607 | − | 20.1860i | 0.947348 | − | 0.757033i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −1.01083 | − | 0.848189i | −0.0378560 | − | 0.0317649i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −0.213515 | − | 1.21090i | −0.00798500 | − | 0.0452852i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 1.15653 | − | 6.12913i | 0.0431913 | − | 0.228896i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −14.2914 | + | 24.7535i | −0.532981 | + | 0.923150i | 0.466277 | + | 0.884639i | \(0.345595\pi\) |
−0.999258 | + | 0.0385111i | \(0.987738\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 5.39518 | + | 0.132092i | 0.200927 | + | 0.00491935i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 2.74334 | − | 4.62293i | 0.102026 | − | 0.171929i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −10.9245 | + | 9.16671i | −0.405724 | + | 0.340443i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −8.43319 | + | 47.8270i | −0.312770 | + | 1.77380i | 0.271693 | + | 0.962384i | \(0.412417\pi\) |
−0.584463 | + | 0.811421i | \(0.698695\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −15.1428 | + | 22.3539i | −0.560845 | + | 0.827921i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 8.43564 | + | 7.07834i | 0.312003 | + | 0.261802i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −6.04418 | − | 34.2783i | −0.223247 | − | 1.26610i | −0.866008 | − | 0.500030i | \(-0.833322\pi\) |
0.642761 | − | 0.766067i | \(-0.277789\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −3.79771 | − | 7.61394i | −0.140081 | − | 0.280844i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 2.74562 | 0.101136 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −17.7374 | −0.652480 | −0.326240 | − | 0.945287i | \(-0.605782\pi\) | ||||
−0.326240 | + | 0.945287i | \(0.605782\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −10.2098 | + | 3.57827i | −0.375065 | + | 0.131451i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 5.43701 | + | 30.8348i | 0.199465 | + | 1.13122i | 0.905916 | + | 0.423458i | \(0.139184\pi\) |
−0.706451 | + | 0.707762i | \(0.749705\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 7.48460 | − | 2.72417i | 0.274214 | − | 0.0998059i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 6.40374 | + | 42.2003i | 0.234301 | + | 1.54403i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −35.4671 | − | 31.2712i | −1.29594 | − | 1.14262i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −16.0412 | − | 5.83853i | −0.585352 | − | 0.213051i | 0.0323316 | − | 0.999477i | \(-0.489707\pi\) |
−0.617684 | + | 0.786426i | \(0.711929\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 41.3958 | + | 15.6304i | 1.50855 | + | 0.569602i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −2.52760 | −0.0919888 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −42.6712 | −1.55091 | −0.775456 | − | 0.631402i | \(-0.782480\pi\) | ||||
−0.775456 | + | 0.631402i | \(0.782480\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 0.513746 | − | 0.420711i | 0.0186478 | − | 0.0152708i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 14.2880 | + | 5.20041i | 0.517940 | + | 0.188515i | 0.587746 | − | 0.809046i | \(-0.300016\pi\) |
−0.0698054 | + | 0.997561i | \(0.522238\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −0.596898 | + | 2.95962i | −0.0216092 | + | 0.107145i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −3.80823 | − | 0.0911696i | −0.137687 | − | 0.00329624i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 29.1948 | − | 10.6260i | 1.05416 | − | 0.383684i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 8.99506 | + | 51.0135i | 0.324370 | + | 1.83959i | 0.514065 | + | 0.857751i | \(0.328139\pi\) |
−0.189695 | + | 0.981843i | \(0.560750\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −0.859068 | − | 0.738542i | −0.0309386 | − | 0.0265979i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 39.3297 | 1.41459 | 0.707296 | − | 0.706918i | \(-0.249915\pi\) | ||||
0.707296 | + | 0.706918i | \(0.249915\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 8.67709 | 0.311690 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 41.2724 | + | 1.50489i | 1.48064 | + | 0.0539875i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 2.58698 | + | 14.6715i | 0.0926881 | + | 0.525660i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −4.38130 | − | 3.67635i | −0.156775 | − | 0.131550i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −15.6400 | + | 5.06452i | −0.558929 | + | 0.180991i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 0.467370 | − | 2.65059i | 0.0166812 | − | 0.0946036i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 7.52953 | − | 6.31802i | 0.268399 | − | 0.225213i | −0.498648 | − | 0.866805i | \(-0.666170\pi\) |
0.767047 | + | 0.641591i | \(0.221726\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 12.8038 | + | 0.153241i | 0.455828 | + | 0.00545551i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 22.5530 | − | 36.9441i | 0.801893 | − | 1.31358i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −8.09624 | + | 14.0231i | −0.287506 | + | 0.497975i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 7.05140 | + | 6.06210i | 0.250087 | + | 0.215000i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 3.36641 | + | 19.0918i | 0.119244 | + | 0.676268i | 0.984561 | + | 0.175042i | \(0.0560062\pi\) |
−0.865317 | + | 0.501226i | \(0.832883\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −12.0447 | − | 10.1067i | −0.426109 | − | 0.357548i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 9.65337 | − | 3.25408i | 0.341085 | − | 0.114977i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 3.77356 | + | 3.16639i | 0.133166 | + | 0.111739i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0.190261 | + | 1.25842i | 0.00670583 | + | 0.0443534i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 3.09876 | + | 1.17004i | 0.109081 | + | 0.0411873i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −21.9412 | + | 38.0032i | −0.771411 | + | 1.33612i | 0.165379 | + | 0.986230i | \(0.447115\pi\) |
−0.936790 | + | 0.349893i | \(0.886218\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 37.9759 | 1.33351 | 0.666757 | − | 0.745275i | \(-0.267682\pi\) | ||||
0.666757 | + | 0.745275i | \(0.267682\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −2.62646 | + | 2.15083i | −0.0921139 | + | 0.0754327i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −0.287085 | − | 1.62814i | −0.0100562 | − | 0.0570314i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 9.29549 | + | 7.79984i | 0.325208 | + | 0.272882i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −18.2522 | − | 16.8863i | −0.637785 | − | 0.590056i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −0.281698 | + | 1.59759i | −0.00983134 | + | 0.0557563i | −0.989329 | − | 0.145700i | \(-0.953456\pi\) |
0.979497 | + | 0.201457i | \(0.0645675\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −44.2324 | − | 16.0993i | −1.54185 | − | 0.561186i | −0.575359 | − | 0.817901i | \(-0.695138\pi\) |
−0.966487 | + | 0.256715i | \(0.917360\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −0.809645 | + | 4.29080i | −0.0281882 | + | 0.149386i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 8.65681 | + | 14.9940i | 0.301027 | + | 0.521393i | 0.976369 | − | 0.216111i | \(-0.0693374\pi\) |
−0.675342 | + | 0.737505i | \(0.736004\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 19.3271 | + | 33.4754i | 0.671256 | + | 1.16265i | 0.977548 | + | 0.210712i | \(0.0675783\pi\) |
−0.306292 | + | 0.951938i | \(0.599088\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −3.06235 | − | 0.0366513i | −0.106232 | − | 0.00127142i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −10.0893 | + | 7.65680i | −0.349573 | + | 0.265292i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 0.931836 | − | 0.339161i | 0.0322475 | − | 0.0117371i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 9.27062 | + | 3.75633i | 0.320440 | + | 0.129838i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −0.240504 | + | 1.36396i | −0.00830311 | + | 0.0470893i | −0.988678 | − | 0.150054i | \(-0.952055\pi\) |
0.980375 | + | 0.197143i | \(0.0631664\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 17.8451 | + | 6.49510i | 0.615349 | + | 0.223969i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 25.9188 | − | 43.6771i | 0.892692 | − | 1.50432i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −2.23572 | −0.0769112 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 14.7329 | − | 24.1341i | 0.506230 | − | 0.829256i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 4.54841 | − | 24.1047i | 0.156101 | − | 0.827273i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −5.80515 | − | 2.11290i | −0.198998 | − | 0.0724293i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 38.5717 | + | 32.3655i | 1.32067 | + | 1.10817i | 0.986163 | + | 0.165780i | \(0.0530142\pi\) |
0.334507 | + | 0.942393i | \(0.391430\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −4.19641 | − | 0.100463i | −0.143514 | − | 0.00343575i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −6.50533 | + | 36.8936i | −0.222218 | + | 1.26026i | 0.645715 | + | 0.763579i | \(0.276560\pi\) |
−0.867933 | + | 0.496682i | \(0.834552\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −28.2000 | − | 10.2640i | −0.962173 | − | 0.350202i | −0.187288 | − | 0.982305i | \(-0.559970\pi\) |
−0.774885 | + | 0.632103i | \(0.782192\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −27.0147 | + | 21.0393i | −0.920657 | + | 0.717016i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −13.0193 | − | 22.5500i | −0.443181 | − | 0.767612i | 0.554742 | − | 0.832022i | \(-0.312817\pi\) |
−0.997924 | + | 0.0644100i | \(0.979483\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −3.85754 | + | 6.68145i | −0.131160 | + | 0.227176i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −3.84788 | − | 23.4609i | −0.130681 | − | 0.796773i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 4.61792 | − | 3.87490i | 0.156652 | − | 0.131447i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −2.67055 | + | 15.1454i | −0.0904881 | + | 0.513184i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 12.2212 | + | 4.78241i | 0.413625 | + | 0.161860i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −13.2410 | − | 11.6745i | −0.447626 | − | 0.394670i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 1.24472 | − | 1.04445i | 0.0420313 | − | 0.0352684i | −0.621530 | − | 0.783390i | \(-0.713489\pi\) |
0.663561 | + | 0.748122i | \(0.269044\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 1.29638 | − | 6.87029i | 0.0437258 | − | 0.231729i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −12.4763 | − | 21.6096i | −0.420337 | − | 0.728045i | 0.575635 | − | 0.817707i | \(-0.304755\pi\) |
−0.995972 | + | 0.0896613i | \(0.971422\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −5.49908 | + | 9.52468i | −0.185059 | + | 0.320531i | −0.943596 | − | 0.331098i | \(-0.892581\pi\) |
0.758538 | + | 0.651629i | \(0.225914\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 12.0536 | + | 0.144262i | 0.405177 | + | 0.00484930i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 4.42384 | + | 25.0888i | 0.148538 | + | 0.842400i | 0.964458 | + | 0.264236i | \(0.0851197\pi\) |
−0.815920 | + | 0.578164i | \(0.803769\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 7.27272 | − | 36.0605i | 0.243919 | − | 1.20943i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −2.72252 | + | 4.23380i | −0.0912079 | + | 0.141838i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −13.2724 | − | 11.1369i | −0.444143 | − | 0.372681i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −11.5443 | − | 4.20179i | −0.385884 | − | 0.140450i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 1.82103 | + | 3.24314i | 0.0608025 | + | 0.108285i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 3.04519 | + | 5.27443i | 0.101563 | + | 0.175912i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 6.92122 | − | 11.9879i | 0.230579 | − | 0.399375i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −5.84056 | + | 27.2711i | −0.194362 | + | 0.907527i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 4.80645 | − | 4.03309i | 0.159772 | − | 0.134064i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −12.7461 | + | 4.63918i | −0.423226 | + | 0.154042i | −0.544848 | − | 0.838535i | \(-0.683413\pi\) |
0.121622 | + | 0.992576i | \(0.461190\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −3.04317 | − | 20.0544i | −0.100936 | − | 0.665161i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −44.0213 | + | 16.0224i | −1.45849 | + | 0.530847i | −0.944949 | − | 0.327218i | \(-0.893889\pi\) |
−0.513541 | + | 0.858065i | \(0.671667\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 1.38180 | + | 7.83657i | 0.0457309 | + | 0.259353i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −4.86076 | + | 3.98051i | −0.160692 | + | 0.131592i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 7.04050 | + | 12.9145i | 0.232498 | + | 0.426475i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −16.5626 | − | 28.6873i | −0.546350 | − | 0.946307i | −0.998521 | − | 0.0543751i | \(-0.982683\pi\) |
0.452170 | − | 0.891932i | \(-0.350650\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −32.6318 | + | 26.7224i | −1.07525 | + | 0.880534i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 24.5410 | − | 20.5924i | 0.807778 | − | 0.677807i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 38.1735 | − | 13.8940i | 1.25514 | − | 0.456833i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 6.11764 | + | 0.146457i | 0.200930 | + | 0.00481029i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −2.02393 | + | 11.4783i | −0.0664029 | + | 0.376590i | 0.933438 | + | 0.358739i | \(0.116793\pi\) |
−0.999841 | + | 0.0178503i | \(0.994318\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −11.1177 | + | 8.43727i | −0.364368 | + | 0.276520i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 1.30283 | − | 6.90446i | 0.0426526 | − | 0.226042i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −0.710171 | −0.0232251 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 14.6072 | − | 25.3004i | 0.477196 | − | 0.826527i | −0.522463 | − | 0.852662i | \(-0.674987\pi\) |
0.999658 | + | 0.0261350i | \(0.00831997\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 36.0792 | + | 0.431809i | 1.17740 | + | 0.0140916i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 41.0169 | − | 34.4172i | 1.33711 | − | 1.12197i | 0.354753 | − | 0.934960i | \(-0.384565\pi\) |
0.982358 | − | 0.187010i | \(-0.0598797\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 4.81294 | − | 1.75177i | 0.156731 | − | 0.0570454i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −4.31088 | − | 8.63105i | −0.140233 | − | 0.280768i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −18.5839 | + | 6.76400i | −0.603897 | + | 0.219801i | −0.625831 | − | 0.779959i | \(-0.715240\pi\) |
0.0219337 | + | 0.999759i | \(0.493018\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −21.1369 | + | 17.7359i | −0.686132 | + | 0.575733i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −6.44942 | + | 10.8682i | −0.209137 | + | 0.352427i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 27.1409 | − | 47.0094i | 0.879180 | − | 1.52278i | 0.0269380 | − | 0.999637i | \(-0.491424\pi\) |
0.852242 | − | 0.523148i | \(-0.175242\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −11.2608 | −0.364391 | ||||||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −2.89233 | + | 1.01369i | −0.0934959 | + | 0.0327680i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −26.2291 | − | 10.2804i | −0.846981 | − | 0.331971i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −4.73960 | + | 26.8796i | −0.152890 | + | 0.867084i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −40.2351 | − | 35.4364i | −1.29656 | − | 1.14192i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 4.42842 | − | 1.61181i | 0.142556 | − | 0.0518861i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 28.9828 | − | 24.3194i | 0.932024 | − | 0.782061i | −0.0441561 | − | 0.999025i | \(-0.514060\pi\) |
0.976180 | + | 0.216964i | \(0.0696154\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 1.01133 | + | 6.16616i | 0.0324885 | + | 0.198086i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −12.4076 | − | 21.4906i | −0.398180 | − | 0.689667i | 0.595322 | − | 0.803487i | \(-0.297025\pi\) |
−0.993501 | + | 0.113820i | \(0.963691\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −19.8956 | − | 0.487108i | −0.637823 | − | 0.0156160i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −22.8815 | − | 8.63966i | −0.732793 | − | 0.276690i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 8.10980 | + | 45.9930i | 0.259456 | + | 1.47145i | 0.784371 | + | 0.620291i | \(0.212986\pi\) |
−0.524916 | + | 0.851154i | \(0.675903\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 1.78464 | − | 0.649557i | 0.0570374 | − | 0.0207599i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −0.674997 | + | 3.35626i | −0.0215510 | + | 0.107157i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −10.1311 | + | 3.68742i | −0.323132 | + | 0.117610i | −0.498493 | − | 0.866894i | \(-0.666113\pi\) |
0.175361 | + | 0.984504i | \(0.443891\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −5.74302 | + | 4.81897i | −0.182988 | + | 0.153545i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 8.33933 | − | 38.9386i | 0.265444 | − | 1.23943i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 2.08589 | − | 3.61286i | 0.0663273 | − | 0.114882i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −31.1404 | − | 53.9367i | −0.989206 | − | 1.71335i | −0.621503 | − | 0.783411i | \(-0.713478\pi\) |
−0.367702 | − | 0.929943i | \(-0.619856\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 0.849056 | − | 1.43079i | 0.0269440 | − | 0.0454046i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 1.51780 | + | 0.552434i | 0.0481175 | + | 0.0175133i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 3.10253 | + | 2.60333i | 0.0982581 | + | 0.0824483i | 0.690593 | − | 0.723243i | \(-0.257349\pi\) |
−0.592335 | + | 0.805692i | \(0.701794\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 46.7994 | + | 1.68098i | 1.48067 | + | 0.0531838i |
(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.bq.a.25.14 | yes | 144 | |
7.2 | even | 3 | 756.2.bp.a.457.2 | yes | 144 | ||
27.13 | even | 9 | 756.2.bp.a.445.2 | ✓ | 144 | ||
189.121 | even | 9 | inner | 756.2.bq.a.121.14 | yes | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
756.2.bp.a.445.2 | ✓ | 144 | 27.13 | even | 9 | ||
756.2.bp.a.457.2 | yes | 144 | 7.2 | even | 3 | ||
756.2.bq.a.25.14 | yes | 144 | 1.1 | even | 1 | trivial | |
756.2.bq.a.121.14 | yes | 144 | 189.121 | even | 9 | inner |