Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [756,2,Mod(173,756)]
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, 13, 15]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("756.173");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 756 = 2^{2} \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 756.ca (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 | 437.8 | ||
Character | \(\chi\) | \(=\) | 756.437 |
Dual form | 756.2.ca.a.173.8 |
$q$-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 \(\left(\mathbb{Z}/756\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{5}{18}\right)\) | \(e\left(\frac{1}{6}\right)\) | \(1\) |
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 | ||||||||
\(3\) | −1.04679 | + | 1.37994i | −0.604367 | + | 0.796706i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 0.700470 | + | 0.587764i | 0.313260 | + | 0.262856i | 0.785838 | − | 0.618433i | \(-0.212232\pi\) |
−0.472578 | + | 0.881289i | \(0.656677\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.673988 | − | 2.55846i | −0.254743 | − | 0.967009i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −0.808445 | − | 2.88902i | −0.269482 | − | 0.963006i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 2.40709 | + | 2.86865i | 0.725764 | + | 0.864931i | 0.995177 | − | 0.0980932i | \(-0.0312743\pi\) |
−0.269414 | + | 0.963025i | \(0.586830\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 2.48376 | − | 2.96003i | 0.688872 | − | 0.820965i | −0.302347 | − | 0.953198i | \(-0.597770\pi\) |
0.991219 | + | 0.132233i | \(0.0422146\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −1.54432 | + | 0.351336i | −0.398743 | + | 0.0907145i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −3.05270 | − | 5.28743i | −0.740388 | − | 1.28239i | −0.952319 | − | 0.305105i | \(-0.901309\pi\) |
0.211931 | − | 0.977285i | \(-0.432025\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 4.82172 | + | 2.78382i | 1.10618 | + | 0.638653i | 0.937837 | − | 0.347076i | \(-0.112825\pi\) |
0.168342 | + | 0.985729i | \(0.446159\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 4.23604 | + | 1.74813i | 0.924380 | + | 0.381472i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −0.548926 | − | 1.50816i | −0.114459 | − | 0.314474i | 0.869215 | − | 0.494435i | \(-0.164625\pi\) |
−0.983674 | + | 0.179961i | \(0.942403\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.723049 | − | 4.10062i | −0.144610 | − | 0.820123i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 4.83293 | + | 1.90860i | 0.930098 | + | 0.367311i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 4.21794 | + | 5.02674i | 0.783251 | + | 0.933443i | 0.999076 | − | 0.0429895i | \(-0.0136882\pi\) |
−0.215824 | + | 0.976432i | \(0.569244\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.54773 | − | 1.84452i | 0.277981 | − | 0.331285i | −0.608931 | − | 0.793223i | \(-0.708401\pi\) |
0.886912 | + | 0.461938i | \(0.152846\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −6.47828 | + | 0.318735i | −1.12772 | + | 0.0554846i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 1.03167 | − | 2.18827i | 0.174383 | − | 0.369886i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −2.43591 | −0.400460 | −0.200230 | − | 0.979749i | \(-0.564169\pi\) | ||||
−0.200230 | + | 0.979749i | \(0.564169\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 1.48467 | + | 6.52598i | 0.237737 | + | 1.04499i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 4.95635 | + | 4.15887i | 0.774052 | + | 0.649506i | 0.941743 | − | 0.336333i | \(-0.109187\pi\) |
−0.167691 | + | 0.985840i | \(0.553631\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 7.68736 | + | 2.79797i | 1.17231 | + | 0.426686i | 0.853480 | − | 0.521125i | \(-0.174488\pi\) |
0.318831 | + | 0.947812i | \(0.396710\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 1.13177 | − | 2.49884i | 0.168714 | − | 0.372506i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 3.52092 | − | 2.95440i | 0.513579 | − | 0.430944i | −0.348808 | − | 0.937194i | \(-0.613413\pi\) |
0.862386 | + | 0.506251i | \(0.168969\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −6.09148 | + | 3.44875i | −0.870212 | + | 0.492678i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 10.4919 | + | 1.32232i | 1.46915 | + | 0.185162i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 9.92435 | + | 5.72983i | 1.36321 | + | 0.787052i | 0.990050 | − | 0.140713i | \(-0.0449396\pi\) |
0.373164 | + | 0.927765i | \(0.378273\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 3.42420i | 0.461720i | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −8.88885 | + | 3.73958i | −1.17736 | + | 0.495319i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −0.154736 | + | 0.877551i | −0.0201449 | + | 0.114247i | −0.993222 | − | 0.116232i | \(-0.962918\pi\) |
0.973077 | + | 0.230479i | \(0.0740295\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −7.92124 | − | 9.44017i | −1.01421 | − | 1.20869i | −0.977841 | − | 0.209351i | \(-0.932865\pi\) |
−0.0363705 | − | 0.999338i | \(-0.511580\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −6.84656 | + | 4.01554i | −0.862586 | + | 0.505910i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 3.47960 | − | 0.613548i | 0.431592 | − | 0.0761012i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −12.2484 | + | 4.45805i | −1.49638 | + | 0.544637i | −0.955120 | − | 0.296219i | \(-0.904274\pi\) |
−0.541258 | + | 0.840856i | \(0.682052\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 2.65578 | + | 0.821252i | 0.319718 | + | 0.0988671i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 11.1044 | + | 6.41115i | 1.31785 | + | 0.760864i | 0.983383 | − | 0.181542i | \(-0.0581089\pi\) |
0.334471 | + | 0.942406i | \(0.391442\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | − | 4.85770i | − | 0.568551i | −0.958743 | − | 0.284275i | \(-0.908247\pi\) | ||
0.958743 | − | 0.284275i | \(-0.0917530\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 6.41547 | + | 3.29474i | 0.740795 | + | 0.380444i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 5.71700 | − | 8.09188i | 0.651513 | − | 0.922155i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 5.29825 | + | 1.92841i | 0.596100 | + | 0.216963i | 0.622410 | − | 0.782691i | \(-0.286154\pi\) |
−0.0263101 | + | 0.999654i | \(0.508376\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −7.69283 | + | 4.67122i | −0.854759 | + | 0.519025i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 6.26479 | − | 5.25678i | 0.687650 | − | 0.577006i | −0.230581 | − | 0.973053i | \(-0.574063\pi\) |
0.918230 | + | 0.396047i | \(0.129618\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.969437 | − | 5.49795i | 0.105150 | − | 0.596336i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −11.3519 | + | 0.558520i | −1.21705 | + | 0.0598796i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 2.04328 | − | 3.53906i | 0.216587 | − | 0.375139i | −0.737175 | − | 0.675701i | \(-0.763841\pi\) |
0.953762 | + | 0.300562i | \(0.0971742\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −9.24716 | − | 4.35959i | −0.969366 | − | 0.457009i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 0.925156 | + | 4.06660i | 0.0959342 | + | 0.421687i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 1.74124 | + | 4.78402i | 0.178648 | + | 0.490830i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 4.13766 | − | 11.3681i | 0.420115 | − | 1.15426i | −0.531525 | − | 0.847043i | \(-0.678381\pi\) |
0.951640 | − | 0.307215i | \(-0.0993971\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 6.34159 | − | 9.27326i | 0.637354 | − | 0.931998i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −2.79081 | − | 1.01577i | −0.277696 | − | 0.101073i | 0.199418 | − | 0.979914i | \(-0.436095\pi\) |
−0.477114 | + | 0.878842i | \(0.658317\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 5.85295 | − | 6.97527i | 0.576708 | − | 0.687294i | −0.396285 | − | 0.918127i | \(-0.629701\pi\) |
0.972993 | + | 0.230834i | \(0.0741453\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 1.93974 | + | 3.71430i | 0.189299 | + | 0.362479i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −12.5146 | + | 7.22532i | −1.20983 | + | 0.698498i | −0.962723 | − | 0.270489i | \(-0.912815\pi\) |
−0.247111 | + | 0.968987i | \(0.579481\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 4.51287 | − | 7.81653i | 0.432255 | − | 0.748688i | −0.564812 | − | 0.825220i | \(-0.691051\pi\) |
0.997067 | + | 0.0765319i | \(0.0243847\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 2.54989 | − | 3.36139i | 0.242025 | − | 0.319049i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −3.84867 | − | 10.5741i | −0.362053 | − | 0.994732i | −0.978303 | − | 0.207181i | \(-0.933571\pi\) |
0.616250 | − | 0.787551i | \(-0.288651\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.501937 | − | 1.37906i | 0.0468059 | − | 0.128598i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −10.5596 | − | 4.78261i | −0.976233 | − | 0.442152i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −11.4702 | + | 11.3739i | −1.05147 | + | 1.04264i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −0.524979 | + | 2.97730i | −0.0477253 | + | 0.270664i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −10.9273 | + | 2.48596i | −0.985277 | + | 0.224152i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 4.18972 | − | 7.25680i | 0.374740 | − | 0.649068i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 1.76290 | + | 3.05343i | 0.156432 | + | 0.270948i | 0.933579 | − | 0.358370i | \(-0.116668\pi\) |
−0.777148 | + | 0.629318i | \(0.783334\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −11.9081 | + | 7.67916i | −1.04845 | + | 0.676112i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −10.8842 | + | 3.96153i | −0.950957 | + | 0.346120i | −0.770484 | − | 0.637460i | \(-0.779985\pi\) |
−0.180474 | + | 0.983580i | \(0.557763\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 3.87253 | − | 14.2125i | 0.335791 | − | 1.23238i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 2.26352 | + | 4.17754i | 0.194812 | + | 0.359546i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −4.58013 | + | 0.807600i | −0.391307 | + | 0.0689980i | −0.365840 | − | 0.930678i | \(-0.619218\pi\) |
−0.0254667 | + | 0.999676i | \(0.508107\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −20.6952 | − | 3.64913i | −1.75535 | − | 0.309515i | −0.798910 | − | 0.601450i | \(-0.794590\pi\) |
−0.956438 | + | 0.291935i | \(0.905701\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0.391208 | + | 7.95129i | 0.0329457 | + | 0.669619i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 14.4699 | 1.21004 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 6.00024i | 0.498292i | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 1.61748 | − | 12.0160i | 0.133407 | − | 0.991061i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −13.2104 | − | 2.32935i | −1.08224 | − | 0.190827i | −0.396032 | − | 0.918237i | \(-0.629613\pi\) |
−0.686204 | + | 0.727409i | \(0.740724\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −8.01271 | + | 6.72346i | −0.652065 | + | 0.547148i | −0.907697 | − | 0.419627i | \(-0.862161\pi\) |
0.255632 | + | 0.966774i | \(0.417717\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −12.8075 | + | 13.0939i | −1.03543 | + | 1.05858i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 2.16828 | − | 0.382326i | 0.174160 | − | 0.0307092i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −19.5690 | − | 3.45055i | −1.56178 | − | 0.275384i | −0.675084 | − | 0.737741i | \(-0.735893\pi\) |
−0.886694 | + | 0.462357i | \(0.847004\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −18.2955 | + | 7.69702i | −1.45093 | + | 0.610413i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −3.48861 | + | 2.42089i | −0.274941 | + | 0.190793i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 7.01252 | + | 12.1460i | 0.549263 | + | 0.951352i | 0.998325 | + | 0.0578512i | \(0.0184249\pi\) |
−0.449062 | + | 0.893501i | \(0.648242\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −4.72518 | − | 3.58444i | −0.367855 | − | 0.279048i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 2.12777 | − | 0.774444i | 0.164652 | − | 0.0599283i | −0.258379 | − | 0.966044i | \(-0.583188\pi\) |
0.423031 | + | 0.906115i | \(0.360966\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −0.335292 | − | 1.90154i | −0.0257917 | − | 0.146272i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 4.14441 | − | 16.1806i | 0.316931 | − | 1.23736i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 4.40574 | + | 24.9862i | 0.334962 | + | 1.89967i | 0.427603 | + | 0.903967i | \(0.359358\pi\) |
−0.0926401 | + | 0.995700i | \(0.529531\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −10.0040 | + | 4.61366i | −0.756228 | + | 0.348760i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −1.04899 | − | 1.13214i | −0.0788467 | − | 0.0850969i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 3.76744 | − | 2.17513i | 0.281591 | − | 0.162577i | −0.352552 | − | 0.935792i | \(-0.614686\pi\) |
0.634144 | + | 0.773215i | \(0.281353\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 2.32397 | − | 1.34175i | 0.172740 | − | 0.0997313i | −0.411137 | − | 0.911573i | \(-0.634868\pi\) |
0.583877 | + | 0.811842i | \(0.301535\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 21.3187 | − | 1.04889i | 1.57593 | − | 0.0775364i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −1.70628 | − | 1.43174i | −0.125448 | − | 0.105263i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 7.81969 | − | 21.4844i | 0.571832 | − | 1.57110i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 1.62576 | − | 13.6513i | 0.118256 | − | 0.992983i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 5.63477 | − | 15.4814i | 0.407717 | − | 1.12019i | −0.550670 | − | 0.834723i | \(-0.685628\pi\) |
0.958387 | − | 0.285471i | \(-0.0921501\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 7.76210 | + | 6.51318i | 0.558728 | + | 0.468829i | 0.877884 | − | 0.478874i | \(-0.158955\pi\) |
−0.319156 | + | 0.947702i | \(0.603399\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −2.79577 | + | 5.44389i | −0.200209 | + | 0.389845i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 23.3394 | − | 13.4750i | 1.66286 | − | 0.960054i | 0.691524 | − | 0.722353i | \(-0.256939\pi\) |
0.971338 | − | 0.237701i | \(-0.0763939\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −10.8742 | + | 6.27825i | −0.770855 | + | 0.445053i | −0.833180 | − | 0.553003i | \(-0.813482\pi\) |
0.0623246 | + | 0.998056i | \(0.480149\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 6.66972 | − | 21.5686i | 0.470445 | − | 1.52133i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 10.0179 | − | 14.1794i | 0.703119 | − | 0.995199i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 1.02734 | + | 5.82633i | 0.0717525 | + | 0.406928i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −3.91333 | + | 2.80512i | −0.271995 | + | 0.194969i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 3.62048 | + | 20.5328i | 0.250434 | + | 1.42028i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 4.63971 | − | 1.68871i | 0.319411 | − | 0.116256i | −0.177339 | − | 0.984150i | \(-0.556749\pi\) |
0.496750 | + | 0.867894i | \(0.334527\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −20.4710 | + | 8.61226i | −1.40265 | + | 0.590102i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 3.74022 | + | 6.47825i | 0.255081 | + | 0.441813i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −5.76228 | − | 2.71664i | −0.391169 | − | 0.184417i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 6.70331 | + | 5.08501i | 0.452968 | + | 0.343613i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −23.2331 | − | 4.09663i | −1.56283 | − | 0.275569i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −12.8650 | + | 2.26844i | −0.861502 | + | 0.151906i | −0.586908 | − | 0.809654i | \(-0.699655\pi\) |
−0.274595 | + | 0.961560i | \(0.588544\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −11.2622 | + | 5.40402i | −0.750814 | + | 0.360268i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −11.7375 | + | 9.84892i | −0.779044 | + | 0.653696i | −0.943008 | − | 0.332770i | \(-0.892017\pi\) |
0.163963 | + | 0.986466i | \(0.447572\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 9.15063 | + | 1.61350i | 0.604691 | + | 0.106623i | 0.467608 | − | 0.883936i | \(-0.345116\pi\) |
0.137083 | + | 0.990560i | \(0.456227\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 5.18175 | + | 16.3596i | 0.340934 | + | 1.07638i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 9.39194i | 0.615286i | 0.951502 | + | 0.307643i | \(0.0995403\pi\) | ||||
−0.951502 | + | 0.307643i | \(0.900460\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 4.20279 | 0.274160 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −8.20726 | + | 5.29261i | −0.533119 | + | 0.343792i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −8.59351 | − | 1.51527i | −0.555868 | − | 0.0980145i | −0.111345 | − | 0.993782i | \(-0.535516\pi\) |
−0.444523 | + | 0.895767i | \(0.646627\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −5.56319 | + | 0.980941i | −0.358357 | + | 0.0631880i | −0.349928 | − | 0.936777i | \(-0.613794\pi\) |
−0.00842855 | + | 0.999964i | \(0.502683\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 1.60682 | − | 15.5054i | 0.103078 | − | 0.994673i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −6.29395 | − | 1.16461i | −0.402106 | − | 0.0744043i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 20.2162 | − | 7.35811i | 1.28633 | − | 0.468185i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 0.696078 | + | 14.1478i | 0.0441121 | + | 0.896578i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −0.593298 | − | 1.02762i | −0.0374487 | − | 0.0648630i | 0.846694 | − | 0.532081i | \(-0.178590\pi\) |
−0.884142 | + | 0.467218i | \(0.845256\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 3.00508 | − | 5.20495i | 0.188928 | − | 0.327233i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 6.57202 | + | 7.09298i | 0.411556 | + | 0.444180i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 2.10237 | − | 11.9231i | 0.131142 | − | 0.743743i | −0.846327 | − | 0.532664i | \(-0.821191\pi\) |
0.977469 | − | 0.211080i | \(-0.0676979\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 1.64177 | + | 6.23218i | 0.102015 | + | 0.387249i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 11.1124 | − | 16.2495i | 0.687839 | − | 1.00582i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −0.490567 | + | 1.34782i | −0.0302497 | + | 0.0831103i | −0.953898 | − | 0.300130i | \(-0.902970\pi\) |
0.923649 | + | 0.383241i | \(0.125192\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 3.58392 | + | 9.84675i | 0.220159 | + | 0.604881i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 2.74478 | + | 6.52425i | 0.167978 | + | 0.399278i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −5.22031 | + | 9.04184i | −0.318288 | + | 0.551291i | −0.980131 | − | 0.198352i | \(-0.936441\pi\) |
0.661843 | + | 0.749642i | \(0.269775\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 11.2170 | − | 6.47615i | 0.681386 | − | 0.393398i | −0.118991 | − | 0.992895i | \(-0.537966\pi\) |
0.800377 | + | 0.599497i | \(0.204633\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 15.6958 | − | 8.19690i | 0.949955 | − | 0.496099i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 10.0228 | − | 11.9447i | 0.604398 | − | 0.720293i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 19.0041 | + | 6.91693i | 1.14185 | + | 0.415598i | 0.842580 | − | 0.538571i | \(-0.181036\pi\) |
0.299267 | + | 0.954169i | \(0.403258\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −6.58009 | − | 2.98024i | −0.393940 | − | 0.178422i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −9.35867 | + | 25.7127i | −0.558291 | + | 1.53389i | 0.263824 | + | 0.964571i | \(0.415016\pi\) |
−0.822115 | + | 0.569322i | \(0.807206\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −7.50273 | − | 20.6136i | −0.445991 | − | 1.22535i | −0.935492 | − | 0.353347i | \(-0.885043\pi\) |
0.489501 | − | 0.872003i | \(-0.337179\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −8.42436 | − | 2.60508i | −0.499016 | − | 0.154312i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 7.29981 | − | 15.4837i | 0.430894 | − | 0.913972i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −10.1379 | + | 17.5594i | −0.596348 | + | 1.03291i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 11.3560 | + | 17.6098i | 0.665701 | + | 1.03230i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −2.68082 | + | 15.2037i | −0.156615 | + | 0.888209i | 0.800679 | + | 0.599094i | \(0.204472\pi\) |
−0.957294 | + | 0.289116i | \(0.906639\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −0.624181 | + | 0.523750i | −0.0363412 | + | 0.0304939i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 6.15816 | + | 18.4582i | 0.357333 | + | 1.07105i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −5.82761 | − | 2.12108i | −0.337019 | − | 0.122665i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 1.97732 | − | 21.5536i | 0.113971 | − | 1.24233i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 4.32310 | − | 2.78783i | 0.248355 | − | 0.160157i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | − | 11.2684i | − | 0.645225i | ||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 22.4632 | + | 12.9691i | 1.28204 | + | 0.740187i | 0.977221 | − | 0.212223i | \(-0.0680704\pi\) |
0.304820 | + | 0.952410i | \(0.401404\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 3.49860 | + | 15.3784i | 0.199028 | + | 0.874844i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −0.873505 | + | 0.317930i | −0.0495319 | + | 0.0180281i | −0.366667 | − | 0.930352i | \(-0.619501\pi\) |
0.317135 | + | 0.948380i | \(0.397279\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 4.73809 | − | 0.835452i | 0.267812 | − | 0.0472226i | −0.0381292 | − | 0.999273i | \(-0.512140\pi\) |
0.305942 | + | 0.952050i | \(0.401029\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −7.15600 | − | 1.21140i | −0.403195 | − | 0.0682547i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 8.42285 | + | 10.0380i | 0.473074 | + | 0.563788i | 0.948829 | − | 0.315790i | \(-0.102269\pi\) |
−0.475755 | + | 0.879578i | \(0.657825\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −4.26704 | + | 24.1996i | −0.238909 | + | 1.35492i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 3.12975 | − | 24.8328i | 0.174686 | − | 1.38603i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | − | 33.9927i | − | 1.89140i | ||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −13.9338 | − | 8.04471i | −0.772910 | − | 0.446240i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 6.06226 | + | 14.4098i | 0.335244 | + | 0.796862i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −9.93179 | − | 7.01692i | −0.547557 | − | 0.386855i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −14.0616 | + | 11.7991i | −0.772897 | + | 0.648537i | −0.941449 | − | 0.337156i | \(-0.890535\pi\) |
0.168552 | + | 0.985693i | \(0.446091\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 1.96930 | + | 7.03737i | 0.107917 | + | 0.385646i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −11.1999 | − | 4.07643i | −0.611916 | − | 0.222719i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −19.7150 | − | 16.5428i | −1.07394 | − | 0.901145i | −0.0785390 | − | 0.996911i | \(-0.525026\pi\) |
−0.995404 | + | 0.0957659i | \(0.969470\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 18.6204 | + | 5.75803i | 1.01132 | + | 0.312733i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 9.01680 | 0.488287 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 12.9291 | + | 13.2604i | 0.698105 | + | 0.715996i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 1.37759 | + | 2.13623i | 0.0741670 | + | 0.115011i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −12.4203 | + | 14.8019i | −0.666756 | + | 0.794609i | −0.988339 | − | 0.152272i | \(-0.951341\pi\) |
0.321582 | + | 0.946882i | \(0.395785\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 5.91691 | + | 7.05150i | 0.316725 | + | 0.377458i | 0.900795 | − | 0.434245i | \(-0.142985\pi\) |
−0.584070 | + | 0.811704i | \(0.698541\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 17.6534 | − | 9.56512i | 0.942268 | − | 0.510548i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −4.49925 | − | 25.5165i | −0.239471 | − | 1.35811i | −0.832990 | − | 0.553287i | \(-0.813373\pi\) |
0.593520 | − | 0.804820i | \(-0.297738\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 4.01008 | + | 11.0176i | 0.212833 | + | 0.584754i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −3.68827 | − | 27.7343i | −0.195204 | − | 1.46785i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −18.8538 | − | 10.8853i | −0.995068 | − | 0.574503i | −0.0882827 | − | 0.996095i | \(-0.528138\pi\) |
−0.906785 | + | 0.421593i | \(0.861471\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 5.99935 | + | 10.3912i | 0.315755 | + | 0.546904i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −3.55894 | − | 3.84106i | −0.186796 | − | 0.201603i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 2.85518 | − | 3.40267i | 0.149447 | − | 0.178104i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −10.0506 | − | 11.9778i | −0.524635 | − | 0.625235i | 0.437035 | − | 0.899444i | \(-0.356028\pi\) |
−0.961670 | + | 0.274209i | \(0.911584\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 8.00811 | − | 17.6812i | 0.416886 | − | 0.920446i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 7.97067 | − | 29.2529i | 0.413816 | − | 1.51874i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −18.2009 | − | 15.2724i | −0.942409 | − | 0.790775i | 0.0355936 | − | 0.999366i | \(-0.488668\pi\) |
−0.978003 | + | 0.208591i | \(0.933112\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 5.62815 | + | 13.3779i | 0.290636 | + | 0.690833i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 25.3557 | 1.30588 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −2.22199 | −0.114136 | −0.0570680 | − | 0.998370i | \(-0.518175\pi\) | ||||
−0.0570680 | + | 0.998370i | \(0.518175\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −6.05892 | − | 0.763625i | −0.310408 | − | 0.0391217i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 15.8539 | + | 13.3030i | 0.810095 | + | 0.679751i | 0.950631 | − | 0.310325i | \(-0.100438\pi\) |
−0.140535 | + | 0.990076i | \(0.544882\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 8.76070 | − | 2.30787i | 0.446487 | − | 0.117620i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 1.86857 | − | 24.4709i | 0.0949849 | − | 1.24393i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 18.8479 | + | 22.4621i | 0.955626 | + | 1.13887i | 0.990226 | + | 0.139470i | \(0.0445399\pi\) |
−0.0345999 | + | 0.999401i | \(0.511016\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −6.29859 | + | 7.50637i | −0.318533 | + | 0.379613i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 5.92687 | − | 19.1664i | 0.298971 | − | 0.966817i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 2.57782 | + | 4.46492i | 0.129704 | + | 0.224654i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 27.6163 | + | 15.9443i | 1.38602 | + | 0.800220i | 0.992864 | − | 0.119251i | \(-0.0380494\pi\) |
0.393158 | + | 0.919471i | \(0.371383\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 15.5586 | + | 20.2214i | 0.778902 | + | 1.01234i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 3.57887 | + | 9.83286i | 0.178720 | + | 0.491030i | 0.996413 | − | 0.0846254i | \(-0.0269694\pi\) |
−0.817693 | + | 0.575655i | \(0.804747\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −1.61563 | − | 9.16268i | −0.0804801 | − | 0.456426i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −8.13418 | − | 1.24952i | −0.404190 | − | 0.0620892i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −5.86343 | − | 6.98777i | −0.290640 | − | 0.346371i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −0.632612 | + | 0.753918i | −0.0312807 | + | 0.0372788i | −0.781458 | − | 0.623958i | \(-0.785524\pi\) |
0.750177 | + | 0.661237i | \(0.229968\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 3.68001 | − | 7.16567i | 0.181522 | − | 0.353457i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 2.34947 | − | 0.195572i | 0.115610 | − | 0.00962347i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 7.47804 | 0.367083 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 26.6992 | − | 24.7382i | 1.30747 | − | 1.21144i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −10.6223 | − | 8.91314i | −0.518931 | − | 0.435435i | 0.345328 | − | 0.938482i | \(-0.387768\pi\) |
−0.864259 | + | 0.503047i | \(0.832212\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 6.03019 | + | 2.19481i | 0.293893 | + | 0.106968i | 0.484759 | − | 0.874648i | \(-0.338907\pi\) |
−0.190866 | + | 0.981616i | \(0.561130\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −11.3818 | − | 7.78352i | −0.553401 | − | 0.378448i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −19.4745 | + | 16.3410i | −0.944650 | + | 0.792655i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −18.8135 | + | 26.6288i | −0.910450 | + | 1.28866i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −15.1470 | + | 19.9676i | −0.731306 | + | 0.964044i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −8.73432 | − | 5.04276i | −0.420717 | − | 0.242901i | 0.274667 | − | 0.961539i | \(-0.411432\pi\) |
−0.695384 | + | 0.718638i | \(0.744766\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 15.6232i | − | 0.750805i | −0.926862 | − | 0.375403i | \(-0.877504\pi\) | ||
0.926862 | − | 0.375403i | \(-0.122496\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −8.27994 | − | 6.28101i | −0.396993 | − | 0.301151i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 1.55169 | − | 8.80005i | 0.0742273 | − | 0.420964i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 17.3026 | + | 20.6205i | 0.825809 | + | 0.984161i | 1.00000 | 0.000551317i | \(-0.000175490\pi\) | |
−0.174191 | + | 0.984712i | \(0.555731\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 14.8881 | + | 14.8103i | 0.708958 | + | 0.705251i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −33.6691 | + | 5.93677i | −1.59967 | + | 0.282064i | −0.901143 | − | 0.433522i | \(-0.857270\pi\) |
−0.698524 | + | 0.715587i | \(0.746159\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 3.51138 | − | 1.27804i | 0.166456 | − | 0.0605849i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 17.0429 | − | 15.7911i | 0.806101 | − | 0.746895i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 21.9379 | + | 12.6659i | 1.03531 | + | 0.597739i | 0.918502 | − | 0.395415i | \(-0.129399\pi\) |
0.116812 | + | 0.993154i | \(0.462733\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 24.2288i | 1.14089i | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −0.890289 | − | 18.0951i | −0.0418294 | − | 0.850182i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −3.91495 | − | 8.48892i | −0.183536 | − | 0.397966i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 28.2998 | + | 10.3003i | 1.32381 | + | 0.481828i | 0.904677 | − | 0.426097i | \(-0.140112\pi\) |
0.419133 | + | 0.907925i | \(0.362334\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −4.66188 | − | 31.3802i | −0.217598 | − | 1.46470i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −16.9479 | + | 14.2210i | −0.789344 | + | 0.662338i | −0.945583 | − | 0.325381i | \(-0.894507\pi\) |
0.156239 | + | 0.987719i | \(0.450063\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −6.48204 | + | 36.7614i | −0.301246 | + | 1.70845i | 0.339425 | + | 0.940633i | \(0.389768\pi\) |
−0.640670 | + | 0.767816i | \(0.721343\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −1.74216 | + | 3.39230i | −0.0807906 | + | 0.157314i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −8.81347 | + | 15.2654i | −0.407839 | + | 0.706397i | −0.994647 | − | 0.103328i | \(-0.967051\pi\) |
0.586809 | + | 0.809726i | \(0.300384\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 19.6610 | + | 28.3324i | 0.907861 | + | 1.30827i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 25.2463 | − | 23.3920i | 1.16329 | − | 1.07785i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 10.4777 | + | 28.7873i | 0.481766 | + | 1.32364i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 7.92905 | − | 21.7849i | 0.363810 | − | 0.999559i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 8.53027 | − | 33.3039i | 0.390574 | − | 1.52488i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 24.5142 | + | 8.92243i | 1.12008 | + | 0.407676i | 0.834682 | − | 0.550733i | \(-0.185652\pi\) |
0.285399 | + | 0.958409i | \(0.407874\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −6.05021 | + | 7.21036i | −0.275866 | + | 0.328764i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 0.311182 | − | 7.34823i | 0.0141593 | − | 0.334356i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 9.58008 | − | 5.53106i | 0.435009 | − | 0.251153i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 1.88377 | − | 3.26279i | 0.0853619 | − | 0.147851i | −0.820183 | − | 0.572101i | \(-0.806129\pi\) |
0.905545 | + | 0.424249i | \(0.139462\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −24.1014 | − | 3.03758i | −1.08990 | − | 0.137364i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −10.2584 | − | 28.1847i | −0.462955 | − | 1.27196i | −0.923253 | − | 0.384193i | \(-0.874480\pi\) |
0.460298 | − | 0.887764i | \(-0.347743\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 13.7024 | − | 37.6472i | 0.617127 | − | 1.69554i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 9.89258 | − | 2.76828i | 0.444638 | − | 0.124425i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 8.91845 | − | 32.7314i | 0.400047 | − | 1.46820i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −3.23287 | + | 18.3345i | −0.144723 | + | 0.820766i | 0.822866 | + | 0.568236i | \(0.192374\pi\) |
−0.967589 | + | 0.252530i | \(0.918737\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −1.15865 | + | 3.74686i | −0.0517647 | + | 0.167398i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −21.0298 | + | 36.4246i | −0.937670 | + | 1.62409i | −0.167869 | + | 0.985809i | \(0.553689\pi\) |
−0.769801 | + | 0.638284i | \(0.779645\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −1.35784 | − | 2.35185i | −0.0604232 | − | 0.104656i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 2.97498 | + | 1.52783i | 0.132123 | + | 0.0678535i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −22.9472 | + | 8.35211i | −1.01712 | + | 0.370201i | −0.796162 | − | 0.605083i | \(-0.793140\pi\) |
−0.220956 | + | 0.975284i | \(0.570918\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −12.4283 | + | 3.27403i | −0.549794 | + | 0.144835i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 17.9899 | + | 22.6568i | 0.794271 | + | 1.00032i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 8.19963 | − | 1.44582i | 0.361319 | − | 0.0637102i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 16.9503 | + | 2.98880i | 0.745474 | + | 0.131447i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −39.0913 | − | 20.0758i | −1.71592 | − | 0.881229i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 16.6726 | 0.730441 | 0.365220 | − | 0.930921i | \(-0.380994\pi\) | ||||
0.365220 | + | 0.930921i | \(0.380994\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 9.76741i | 0.427099i | 0.976932 | + | 0.213549i | \(0.0685024\pi\) | ||||
−0.976932 | + | 0.213549i | \(0.931498\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 4.10552 | − | 18.6344i | 0.179180 | − | 0.813270i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −14.4775 | − | 2.55277i | −0.630650 | − | 0.111201i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 15.6458 | − | 13.1284i | 0.680252 | − | 0.570799i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 2.66035 | − | 0.262417i | 0.115450 | − | 0.0113879i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 24.6208 | − | 4.34131i | 1.06644 | − | 0.188043i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −13.0129 | − | 2.29453i | −0.562597 | − | 0.0992010i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −0.942189 | + | 7.47573i | −0.0406585 | + | 0.322602i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −24.5560 | − | 9.17292i | −1.05770 | − | 0.395106i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 15.0773 | + | 26.1147i | 0.648224 | + | 1.12276i | 0.983547 | + | 0.180654i | \(0.0578214\pi\) |
−0.335322 | + | 0.942103i | \(0.608845\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −0.581197 | + | 4.61147i | −0.0249416 | + | 0.197897i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 7.75541 | − | 2.82274i | 0.332205 | − | 0.120913i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −8.06550 | − | 45.7417i | −0.344856 | − | 1.95578i | −0.288970 | − | 0.957338i | \(-0.593313\pi\) |
−0.0558860 | − | 0.998437i | \(-0.517798\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −20.8689 | + | 30.5165i | −0.890663 | + | 1.30241i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 6.34417 | + | 35.9796i | 0.270271 | + | 1.53278i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 1.36280 | − | 14.8551i | 0.0579523 | − | 0.631704i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 3.76183 | − | 0.855820i | 0.159681 | − | 0.0363276i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −29.5500 | + | 17.0607i | −1.25207 | + | 0.722886i | −0.971521 | − | 0.236953i | \(-0.923851\pi\) |
−0.280554 | + | 0.959838i | \(0.590518\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 27.3756 | − | 15.8053i | 1.15787 | − | 0.668494i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 21.4615 | + | 33.2804i | 0.906106 | + | 1.40510i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −4.17263 | − | 3.50125i | −0.175855 | − | 0.147560i | 0.550612 | − | 0.834762i | \(-0.314395\pi\) |
−0.726467 | + | 0.687201i | \(0.758839\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 3.51922 | − | 9.66898i | 0.148055 | − | 0.406777i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 17.1360 | + | 16.5335i | 0.719646 | + | 0.694342i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −0.348275 | + | 0.956878i | −0.0146005 | + | 0.0401144i | −0.946779 | − | 0.321885i | \(-0.895684\pi\) |
0.932178 | + | 0.361999i | \(0.117906\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 2.74392 | + | 2.30242i | 0.114830 | + | 0.0963534i | 0.698394 | − | 0.715713i | \(-0.253898\pi\) |
−0.583565 | + | 0.812067i | \(0.698343\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 15.4649 | + | 23.9814i | 0.646055 | + | 1.00184i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −5.78749 | + | 3.34141i | −0.241355 | + | 0.139346i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −19.9959 | + | 11.5446i | −0.832440 | + | 0.480609i | −0.854687 | − | 0.519143i | \(-0.826251\pi\) |
0.0222476 | + | 0.999752i | \(0.492918\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −17.1131 | + | 3.89325i | −0.711196 | + | 0.161798i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −17.6717 | − | 12.4852i | −0.733144 | − | 0.517974i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 7.45188 | + | 42.2617i | 0.308625 | + | 1.75030i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −4.58562 | − | 9.55661i | −0.189592 | − | 0.395117i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 0.0818717 | + | 0.464317i | 0.00337921 | + | 0.0191644i | 0.986451 | − | 0.164058i | \(-0.0524583\pi\) |
−0.983072 | + | 0.183222i | \(0.941347\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 12.5975 | − | 4.58513i | 0.519073 | − | 0.188927i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −5.83689 | + | 46.3124i | −0.240098 | + | 1.90504i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −19.0760 | − | 33.0406i | −0.783357 | − | 1.35681i | −0.929976 | − | 0.367621i | \(-0.880172\pi\) |
0.146619 | − | 0.989193i | \(-0.453161\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −14.7197 | + | 1.22528i | −0.603449 | + | 0.0502316i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 2.71951 | − | 21.5778i | 0.111302 | − | 0.883120i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −26.2990 | − | 4.63723i | −1.07455 | − | 0.189472i | −0.391745 | − | 0.920074i | \(-0.628128\pi\) |
−0.682804 | + | 0.730602i | \(0.739240\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −26.0201 | + | 4.58804i | −1.06138 | + | 0.187150i | −0.676969 | − | 0.736012i | \(-0.736707\pi\) |
−0.384412 | + | 0.923162i | \(0.625596\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 22.7815 | + | 31.7817i | 0.927735 | + | 1.29425i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −2.11768 | + | 1.77695i | −0.0860960 | + | 0.0722432i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −6.92812 | − | 1.22162i | −0.281204 | − | 0.0495838i | 0.0312673 | − | 0.999511i | \(-0.490046\pi\) |
−0.312471 | + | 0.949927i | \(0.601157\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 9.07999 | + | 28.6670i | 0.367940 | + | 1.16164i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | − | 17.7601i | − | 0.718495i | ||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −21.2303 | −0.857485 | −0.428743 | − | 0.903427i | \(-0.641043\pi\) | ||||
−0.428743 | + | 0.903427i | \(0.641043\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −9.11537 | − | 4.68130i | −0.367567 | − | 0.188768i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −16.1973 | − | 2.85602i | −0.652079 | − | 0.114979i | −0.162184 | − | 0.986761i | \(-0.551854\pi\) |
−0.489895 | + | 0.871782i | \(0.662965\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 28.5343 | − | 5.03136i | 1.14689 | − | 0.202227i | 0.432272 | − | 0.901743i | \(-0.357712\pi\) |
0.714617 | + | 0.699516i | \(0.246601\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0.225560 | − | 8.33653i | 0.00905139 | − | 0.334533i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −10.4317 | − | 2.84237i | −0.417937 | − | 0.113877i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −12.3638 | + | 4.50004i | −0.494550 | + | 0.180002i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −32.1238 | − | 16.4975i | −1.28290 | − | 0.658848i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 7.43608 | + | 12.8797i | 0.296496 | + | 0.513546i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −7.51188 | + | 13.0110i | −0.299043 | + | 0.517958i | −0.975917 | − | 0.218141i | \(-0.930001\pi\) |
0.676874 | + | 0.736099i | \(0.263334\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −2.52650 | + | 8.17023i | −0.100419 | + | 0.324738i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −0.559839 | + | 3.17500i | −0.0222165 | + | 0.125996i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −4.92139 | + | 26.5969i | −0.194993 | + | 1.05381i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 9.54459 | − | 37.2640i | 0.377578 | − | 1.47414i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 2.72963 | − | 7.49959i | 0.107814 | − | 0.296216i | −0.874040 | − | 0.485853i | \(-0.838509\pi\) |
0.981854 | + | 0.189637i | \(0.0607312\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 10.8529 | + | 29.8181i | 0.427996 | + | 1.17591i | 0.947027 | + | 0.321154i | \(0.104071\pi\) |
−0.519031 | + | 0.854756i | \(0.673707\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −12.8548 | − | 1.62013i | −0.506157 | − | 0.0637925i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 0.285978 | − | 0.495329i | 0.0112430 | − | 0.0194734i | −0.860349 | − | 0.509705i | \(-0.829755\pi\) |
0.871592 | + | 0.490232i | \(0.163088\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −2.88985 | + | 1.66846i | −0.113437 | + | 0.0654926i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 9.78071 | − | 5.10782i | 0.383336 | − | 0.200191i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −26.4290 | + | 31.4968i | −1.03425 | + | 1.23257i | −0.0621301 | + | 0.998068i | \(0.519789\pi\) |
−0.972116 | + | 0.234499i | \(0.924655\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −9.95250 | − | 3.62241i | −0.388876 | − | 0.141539i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −14.0340 | + | 3.92718i | −0.547518 | + | 0.153214i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −4.33314 | + | 11.9052i | −0.168795 | + | 0.463761i | −0.995031 | − | 0.0995628i | \(-0.968256\pi\) |
0.826236 | + | 0.563324i | \(0.190478\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 2.80824 | + | 7.71557i | 0.109228 | + | 0.300101i | 0.982249 | − | 0.187581i | \(-0.0600648\pi\) |
−0.873021 | + | 0.487682i | \(0.837843\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 29.9734 | − | 27.7719i | 1.16407 | − | 1.07857i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 11.0662 | − | 7.67928i | 0.429128 | − | 0.297790i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 5.26581 | − | 9.12064i | 0.203893 | − | 0.353153i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 10.3367 | − | 20.1274i | 0.399639 | − | 0.778171i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 8.01346 | − | 45.4466i | 0.309356 | − | 1.75445i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −33.8139 | + | 28.3732i | −1.30343 | + | 1.09371i | −0.313889 | + | 0.949460i | \(0.601632\pi\) |
−0.989542 | + | 0.144248i | \(0.953924\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 4.33200 | − | 21.1980i | 0.166739 | − | 0.815912i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −21.2078 | − | 7.71902i | −0.815084 | − | 0.296666i | −0.0993616 | − | 0.995051i | \(-0.531680\pi\) |
−0.715722 | + | 0.698385i | \(0.753902\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −31.8737 | − | 2.92408i | −1.22320 | − | 0.112216i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −1.30415 | − | 26.5068i | −0.0499751 | − | 1.01574i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | − | 11.7561i | − | 0.449836i | −0.974378 | − | 0.224918i | \(-0.927789\pi\) | ||
0.974378 | − | 0.224918i | \(-0.0722114\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −3.68292 | − | 2.12634i | −0.140717 | − | 0.0812431i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −11.8054 | + | 10.9383i | −0.450403 | + | 0.417321i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 41.6102 | − | 15.1449i | 1.58522 | − | 0.576974i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 17.9020 | − | 3.15660i | 0.681023 | − | 0.120083i | 0.177574 | − | 0.984107i | \(-0.443175\pi\) |
0.503449 | + | 0.864025i | \(0.332064\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −27.9995 | − | 9.97467i | −1.06361 | − | 0.378906i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −12.3516 | − | 14.7200i | −0.468522 | − | 0.558363i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 6.85949 | − | 38.9021i | 0.259822 | − | 1.47352i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −12.9603 | − | 9.83142i | −0.490202 | − | 0.371859i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 10.7142i | 0.404669i | 0.979317 | + | 0.202334i | \(0.0648527\pi\) | ||||
−0.979317 | + | 0.202334i | \(0.935147\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −11.7453 | − | 6.78113i | −0.442981 | − | 0.255755i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −4.39945 | + | 5.79958i | −0.165693 | + | 0.218425i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −0.717844 | + | 7.82480i | −0.0269973 | + | 0.294282i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 5.48560 | − | 4.60297i | 0.206016 | − | 0.172868i | −0.533942 | − | 0.845521i | \(-0.679290\pi\) |
0.739958 | + | 0.672653i | \(0.234845\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 1.28785 | − | 16.8658i | 0.0482982 | − | 0.632515i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −3.63142 | − | 1.32173i | −0.135998 | − | 0.0494991i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 10.1358 | + | 8.50491i | 0.379056 | + | 0.318066i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 11.0866 | − | 10.2723i | 0.414037 | − | 0.383627i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 12.8506 | 0.479247 | 0.239624 | − | 0.970866i | \(-0.422976\pi\) | ||||
0.239624 | + | 0.970866i | \(0.422976\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −21.7908 | − | 10.2733i | −0.811532 | − | 0.382598i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 4.46988 | − | 8.70369i | 0.166237 | − | 0.323694i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 17.5630 | − | 20.9307i | 0.652272 | − | 0.777348i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −25.2662 | − | 30.1111i | −0.937071 | − | 1.11676i | −0.992975 | − | 0.118322i | \(-0.962249\pi\) |
0.0559043 | − | 0.998436i | \(-0.482196\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 19.7145 | + | 18.4483i | 0.730166 | + | 0.683270i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −8.67311 | − | 49.1877i | −0.320787 | − | 1.81927i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −2.35387 | − | 6.46721i | −0.0869422 | − | 0.238872i | 0.888600 | − | 0.458682i | \(-0.151678\pi\) |
−0.975543 | + | 0.219810i | \(0.929456\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 8.19556 | − | 7.46614i | 0.302298 | − | 0.275393i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −42.2715 | − | 24.4055i | −1.55709 | − | 0.898987i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −8.13308 | − | 14.0869i | −0.299180 | − | 0.518195i | 0.676768 | − | 0.736196i | \(-0.263380\pi\) |
−0.975949 | + | 0.218001i | \(0.930046\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −11.0085 | + | 35.5995i | −0.404408 | + | 1.30778i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −4.66918 | + | 5.56451i | −0.171296 | + | 0.204142i | −0.844862 | − | 0.534985i | \(-0.820317\pi\) |
0.673566 | + | 0.739127i | \(0.264762\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −7.88437 | − | 9.39622i | −0.288861 | − | 0.344251i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −20.2517 | − | 13.8493i | −0.740969 | − | 0.506718i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 26.9204 | + | 27.1484i | 0.983651 | + | 0.991982i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 22.4704 | + | 18.8549i | 0.819956 | + | 0.688024i | 0.952962 | − | 0.303091i | \(-0.0980185\pi\) |
−0.133006 | + | 0.991115i | \(0.542463\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 2.03911 | + | 0.256996i | 0.0743095 | + | 0.00936545i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −9.56447 | −0.348087 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 20.1619 | 0.732796 | 0.366398 | − | 0.930458i | \(-0.380591\pi\) | ||||
0.366398 | + | 0.930458i | \(0.380591\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 4.03680 | + | 9.59533i | 0.146527 | + | 0.348288i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −34.3005 | − | 28.7816i | −1.24339 | − | 1.04333i | −0.997251 | − | 0.0740978i | \(-0.976392\pi\) |
−0.246143 | − | 0.969234i | \(-0.579163\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −23.0399 | − | 6.27779i | −0.834102 | − | 0.227271i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −16.6674 | + | 1.64407i | −0.602611 | + | 0.0594415i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 2.21325 | + | 2.63765i | 0.0799159 | + | 0.0952400i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 7.23057 | − | 8.61705i | 0.260741 | − | 0.310739i | −0.619752 | − | 0.784797i | \(-0.712767\pi\) |
0.880493 | + | 0.474058i | \(0.157211\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 14.2524 | + | 15.3822i | 0.513287 | + | 0.553976i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 10.1685 | + | 17.6124i | 0.365737 | + | 0.633476i | 0.988894 | − | 0.148621i | \(-0.0474835\pi\) |
−0.623157 | + | 0.782097i | \(0.714150\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −8.68274 | − | 5.01298i | −0.311893 | − | 0.180072i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −10.3186 | − | 4.25827i | −0.370178 | − | 0.152765i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 12.3206 | + | 33.8505i | 0.441431 | + | 1.21282i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 8.33797 | + | 47.2870i | 0.298356 | + | 1.69206i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 10.7910 | + | 32.3443i | 0.385637 | + | 1.15589i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −11.6794 | − | 13.9190i | −0.416856 | − | 0.496789i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 14.2686 | − | 17.0047i | 0.508621 | − | 0.606151i | −0.449230 | − | 0.893416i | \(-0.648302\pi\) |
0.957851 | + | 0.287265i | \(0.0927461\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −1.34639 | − | 2.08784i | −0.0479326 | − | 0.0743292i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −24.4596 | + | 16.9735i | −0.869684 | + | 0.603510i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −47.6177 | −1.69095 | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −17.3395 | − | 5.36193i | −0.614969 | − | 0.190168i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −2.21466 | − | 1.85832i | −0.0784473 | − | 0.0658251i | 0.602721 | − | 0.797952i | \(-0.294083\pi\) |
−0.681168 | + | 0.732127i | \(0.738528\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −26.3695 | − | 9.59770i | −0.932885 | − | 0.339542i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −11.8763 | − | 3.04192i | −0.419627 | − | 0.107481i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 13.9351 | − | 11.6929i | 0.491757 | − | 0.412634i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −3.86658 | − | 0.354718i | −0.136279 | − | 0.0125022i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −7.01257 | − | 16.6686i | −0.246854 | − | 0.586764i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 13.6590 | + | 7.88602i | 0.480224 | + | 0.277258i | 0.720510 | − | 0.693445i | \(-0.243908\pi\) |
−0.240286 | + | 0.970702i | \(0.577241\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 14.4836i | − | 0.508589i | −0.967127 | − | 0.254294i | \(-0.918157\pi\) | ||
0.967127 | − | 0.254294i | \(-0.0818432\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −2.80524 | + | 22.2580i | −0.0983841 | + | 0.780621i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −2.22695 | + | 12.6297i | −0.0780066 | + | 0.442397i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 29.2773 | + | 34.8913i | 1.02428 | + | 1.22069i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −5.11911 | + | 30.2397i | −0.178876 | + | 1.05666i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −33.3906 | + | 5.88767i | −1.16534 | + | 0.205481i | −0.722664 | − | 0.691200i | \(-0.757083\pi\) |
−0.442678 | + | 0.896681i | \(0.645971\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 8.60231 | − | 3.13099i | 0.299858 | − | 0.109139i | −0.187710 | − | 0.982225i | \(-0.560106\pi\) |
0.487568 | + | 0.873085i | \(0.337884\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 5.99113 | + | 26.3345i | 0.208584 | + | 0.916849i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −10.4030 | − | 6.00615i | −0.361746 | − | 0.208854i | 0.308100 | − | 0.951354i | \(-0.400307\pi\) |
−0.669846 | + | 0.742500i | \(0.733640\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 0.0554541i | 0.00192600i | 1.00000 | 0.000963000i | \(0.000306533\pi\) | |||||
−1.00000 | 0.000963000i | \(0.999693\pi\) | ||||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −29.4383 | + | 18.9839i | −1.02120 | + | 0.658543i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 36.8304 | + | 21.6803i | 1.27610 | + | 0.751177i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 1.94563 | + | 0.708150i | 0.0673312 | + | 0.0245066i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 11.0005 | − | 5.96041i | 0.380234 | − | 0.206022i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −35.6042 | + | 29.8755i | −1.22919 | + | 1.03142i | −0.230903 | + | 0.972977i | \(0.574168\pi\) |
−0.998291 | + | 0.0584391i | \(0.981388\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −2.44135 | + | 13.8456i | −0.0841843 | + | 0.477433i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −25.6853 | − | 39.8303i | −0.884649 | − | 1.37183i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 0.882792 | − | 1.52904i | 0.0303690 | − | 0.0526006i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 7.97115 | − | 0.663525i | 0.273892 | − | 0.0227990i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 36.2992 | + | 11.2249i | 1.24579 | + | 0.385237i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 1.33713 | + | 3.67374i | 0.0458363 | + | 0.125934i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 13.7813 | − | 37.8638i | 0.471862 | − | 1.29643i | −0.444391 | − | 0.895833i | \(-0.646580\pi\) |
0.916254 | − | 0.400599i | \(-0.131198\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 12.4134 | − | 8.89809i | 0.424530 | − | 0.304308i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 53.0459 | + | 19.3071i | 1.81201 | + | 0.659519i | 0.996762 | + | 0.0804131i | \(0.0256240\pi\) |
0.815252 | + | 0.579106i | \(0.196598\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 6.21588 | − | 7.40780i | 0.212083 | − | 0.252751i | −0.649507 | − | 0.760356i | \(-0.725025\pi\) |
0.861590 | + | 0.507605i | \(0.169469\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 13.7251 | + | 26.2815i | 0.467749 | + | 0.895670i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −7.71069 | + | 4.45177i | −0.262475 | + | 0.151540i | −0.625463 | − | 0.780254i | \(-0.715090\pi\) |
0.362988 | + | 0.931794i | \(0.381757\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −11.5999 | + | 20.0916i | −0.394409 | + | 0.683136i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −13.6185 | − | 32.3707i | −0.462509 | − | 1.09937i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 7.22142 | + | 19.8407i | 0.244970 | + | 0.673049i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −17.2261 | + | 47.3284i | −0.583685 | + | 1.60366i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −36.1878 | − | 2.76326i | −1.22477 | − | 0.0935222i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −21.3901 | − | 5.82825i | −0.723117 | − | 0.197031i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 3.94549 | − | 22.3760i | 0.133230 | − | 0.755584i | −0.842846 | − | 0.538155i | \(-0.819122\pi\) |
0.976076 | − | 0.217429i | \(-0.0697672\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −18.1739 | − | 19.6145i | −0.612989 | − | 0.661580i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 20.5916 | − | 35.6656i | 0.693748 | − | 1.20161i | −0.276854 | − | 0.960912i | \(-0.589292\pi\) |
0.970601 | − | 0.240694i | \(-0.0773750\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −22.4947 | − | 38.9620i | −0.757008 | − | 1.31118i | −0.944370 | − | 0.328886i | \(-0.893327\pi\) |
0.187361 | − | 0.982291i | \(-0.440006\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −0.0693525 | − | 1.40959i | −0.00233126 | − | 0.0473828i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −26.8588 | + | 9.77580i | −0.901830 | + | 0.328239i | −0.750986 | − | 0.660318i | \(-0.770421\pi\) |
−0.150844 | + | 0.988558i | \(0.548199\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 6.62392 | − | 6.56828i | 0.222159 | − | 0.220293i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −31.9174 | − | 10.8240i | −1.06927 | − | 0.362619i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 25.2014 | − | 4.44369i | 0.843334 | − | 0.148702i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 3.91744 | + | 0.690750i | 0.130946 | + | 0.0230892i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 9.02726 | − | 5.82140i | 0.301411 | − | 0.194371i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 15.8001 | 0.526964 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | − | 69.9657i | − | 2.33089i | ||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 27.6728 | + | 25.2908i | 0.920892 | + | 0.841624i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 2.41651 | + | 0.426095i | 0.0803274 | + | 0.0141639i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −15.7024 | + | 13.1759i | −0.521390 | + | 0.437498i | −0.865116 | − | 0.501572i | \(-0.832755\pi\) |
0.343726 | + | 0.939070i | \(0.388311\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −0.678364 | + | 8.88388i | −0.0224999 | + | 0.294660i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 26.1535 | − | 4.61157i | 0.866505 | − | 0.152788i | 0.277311 | − | 0.960780i | \(-0.410557\pi\) |
0.589193 | + | 0.807992i | \(0.299446\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 30.1597 | + | 5.31798i | 0.998142 | + | 0.175999i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 15.5496 | + | 11.7957i | 0.514055 | + | 0.389953i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 17.4712 | + | 25.1768i | 0.576951 | + | 0.831412i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −6.74735 | − | 11.6868i | −0.222575 | − | 0.385511i | 0.733014 | − | 0.680213i | \(-0.238113\pi\) |
−0.955589 | + | 0.294702i | \(0.904779\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −41.4109 | + | 17.4217i | −1.36453 | + | 0.574066i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 46.5580 | − | 16.9457i | 1.53248 | − | 0.557775i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 1.76128 | + | 9.98871i | 0.0579105 | + | 0.328427i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −24.8835 | − | 11.2701i | −0.817280 | − | 0.370160i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 4.79587 | + | 27.1987i | 0.157347 | + | 0.892361i | 0.956608 | + | 0.291377i | \(0.0941133\pi\) |
−0.799261 | + | 0.600984i | \(0.794776\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −38.9721 | − | 0.328706i | −1.27726 | − | 0.0107729i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 0.475657 | − | 1.53819i | 0.0155723 | − | 0.0503580i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 18.1052 | − | 10.4531i | 0.592104 | − | 0.341852i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 22.1137 | − | 12.7673i | 0.722423 | − | 0.417091i | −0.0932208 | − | 0.995645i | \(-0.529716\pi\) |
0.815644 | + | 0.578554i | \(0.196383\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −3.80693 | + | 7.41280i | −0.124234 | + | 0.241908i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 11.8983 | + | 9.98386i | 0.387873 | + | 0.325464i | 0.815784 | − | 0.578357i | \(-0.196306\pi\) |
−0.427911 | + | 0.903821i | \(0.640750\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 3.55158 | − | 9.75789i | 0.115655 | − | 0.317761i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 9.16251 | − | 8.60674i | 0.298057 | − | 0.279977i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 16.7798 | − | 46.1022i | 0.545271 | − | 1.49812i | −0.294754 | − | 0.955573i | \(-0.595238\pi\) |
0.840025 | − | 0.542547i | \(-0.182540\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −14.3790 | − | 12.0654i | −0.466761 | − | 0.391659i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −22.6687 | + | 1.11531i | −0.735084 | + | 0.0361665i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −16.1052 | + | 9.29833i | −0.521698 | + | 0.301202i | −0.737629 | − | 0.675206i | \(-0.764055\pi\) |
0.215931 | + | 0.976409i | \(0.430721\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 13.0464 | − | 7.53234i | 0.422171 | − | 0.243741i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −28.9272 | − | 31.2202i | −0.935083 | − | 1.00921i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 5.15317 | + | 11.1738i | 0.166404 | + | 0.360820i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 4.37633 | + | 24.8194i | 0.141172 | + | 0.800626i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 30.9914 | + | 30.3137i | 0.998685 | + | 0.976844i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 1.60891 | + | 9.12457i | 0.0517926 | + | 0.293730i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 18.0291 | − | 6.56204i | 0.579775 | − | 0.211021i | −0.0354510 | − | 0.999371i | \(-0.511287\pi\) |
0.615226 | + | 0.788350i | \(0.289065\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 46.9077 | + | 35.5833i | 1.50689 | + | 1.14310i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 21.5511 | + | 37.3275i | 0.691606 | + | 1.19790i | 0.971311 | + | 0.237811i | \(0.0764299\pi\) |
−0.279705 | + | 0.960086i | \(0.590237\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 4.61217 | + | 55.4075i | 0.147859 | + | 1.77628i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 25.6870 | − | 10.8067i | 0.822644 | − | 0.346090i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 1.75967 | + | 0.310277i | 0.0562968 | + | 0.00992665i | 0.201726 | − | 0.979442i | \(-0.435345\pi\) |
−0.145429 | + | 0.989369i | \(0.546456\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 15.0707 | − | 2.65737i | 0.481661 | − | 0.0849298i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −26.2305 | − | 6.71854i | −0.837475 | − | 0.214506i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −9.03718 | + | 7.58310i | −0.288241 | + | 0.241863i | −0.775430 | − | 0.631434i | \(-0.782467\pi\) |
0.487189 | + | 0.873297i | \(0.338022\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 24.2687 | + | 4.27922i | 0.773264 | + | 0.136347i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 20.0794 | − | 6.35996i | 0.639135 | − | 0.202440i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | − | 13.1297i | − | 0.417499i | ||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 10.0986 | 0.320792 | 0.160396 | − | 0.987053i | \(-0.448723\pi\) | ||||
0.160396 | + | 0.987053i | \(0.448723\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −1.56238 | − | 31.7554i | −0.0495807 | − | 1.00773i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −11.3072 | − | 1.99377i | −0.358463 | − | 0.0632067i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 1.21110 | − | 0.213550i | 0.0383560 | − | 0.00676320i | −0.154437 | − | 0.988003i | \(-0.549356\pi\) |
0.192793 | + | 0.981239i | \(0.438245\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −11.7726 | − | 4.64918i | −0.372467 | − | 0.147093i |
(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.ca.a.437.8 | yes | 144 | |
7.5 | odd | 6 | 756.2.ck.a.5.15 | yes | 144 | ||
27.11 | odd | 18 | 756.2.ck.a.605.15 | yes | 144 | ||
189.173 | even | 18 | inner | 756.2.ca.a.173.8 | ✓ | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
756.2.ca.a.173.8 | ✓ | 144 | 189.173 | even | 18 | inner | |
756.2.ca.a.437.8 | yes | 144 | 1.1 | even | 1 | trivial | |
756.2.ck.a.5.15 | yes | 144 | 7.5 | odd | 6 | ||
756.2.ck.a.605.15 | yes | 144 | 27.11 | odd | 18 |