Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [756,2,Mod(271,756)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(756, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 0, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("756.271");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 756 = 2^{2} \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 756.bf (of order \(6\), degree \(2\), 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: | \(32\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 271.16 | ||
Character | \(\chi\) | \(=\) | 756.271 |
Dual form | 756.2.bf.d.703.16 |
$q$-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 \(\left(\mathbb{Z}/756\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) | \(379\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.41359 | − | 0.0418553i | 0.999562 | − | 0.0295962i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.99650 | − | 0.118333i | 0.998248 | − | 0.0591664i | ||||
\(5\) | −1.51137 | − | 0.872592i | −0.675907 | − | 0.390235i | 0.122404 | − | 0.992480i | \(-0.460940\pi\) |
−0.798311 | + | 0.602245i | \(0.794273\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.00609 | − | 2.44699i | 0.380267 | − | 0.924877i | ||||
\(8\) | 2.81728 | − | 0.250838i | 0.996060 | − | 0.0886848i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −2.17299 | − | 1.17023i | −0.687160 | − | 0.370060i | ||||
\(11\) | −2.72676 | + | 1.57430i | −0.822150 | + | 0.474668i | −0.851157 | − | 0.524911i | \(-0.824099\pi\) |
0.0290075 | + | 0.999579i | \(0.490765\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | − | 3.39927i | − | 0.942787i | −0.881923 | − | 0.471394i | \(-0.843751\pi\) | ||
0.881923 | − | 0.471394i | \(-0.156249\pi\) | |||||||
\(14\) | 1.31979 | − | 3.50117i | 0.352728 | − | 0.935726i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 3.97199 | − | 0.472502i | 0.992999 | − | 0.118125i | ||||
\(17\) | 3.59390 | − | 2.07494i | 0.871649 | − | 0.503247i | 0.00375343 | − | 0.999993i | \(-0.498805\pi\) |
0.867896 | + | 0.496746i | \(0.165472\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.67253 | − | 4.62896i | 0.613120 | − | 1.06196i | −0.377591 | − | 0.925973i | \(-0.623247\pi\) |
0.990711 | − | 0.135983i | \(-0.0434193\pi\) | |||||||
\(20\) | −3.12071 | − | 1.56328i | −0.697811 | − | 0.349560i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −3.78864 | + | 2.33955i | −0.807741 | + | 0.498793i | ||||
\(23\) | 7.05875 | + | 4.07537i | 1.47185 | + | 0.849774i | 0.999499 | − | 0.0316366i | \(-0.0100719\pi\) |
0.472352 | + | 0.881410i | \(0.343405\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.977168 | − | 1.69250i | −0.195434 | − | 0.338501i | ||||
\(26\) | −0.142277 | − | 4.80518i | −0.0279029 | − | 0.942374i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 1.71910 | − | 5.00447i | 0.324879 | − | 0.945755i | ||||
\(29\) | −7.25396 | −1.34703 | −0.673514 | − | 0.739175i | \(-0.735216\pi\) | ||||
−0.673514 | + | 0.739175i | \(0.735216\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.20251 | + | 2.08280i | 0.215977 | + | 0.374083i | 0.953574 | − | 0.301158i | \(-0.0973731\pi\) |
−0.737598 | + | 0.675241i | \(0.764040\pi\) | |||||||
\(32\) | 5.59501 | − | 0.834175i | 0.989068 | − | 0.147463i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 4.99347 | − | 3.08355i | 0.856373 | − | 0.528824i | ||||
\(35\) | −3.65581 | + | 2.82041i | −0.617944 | + | 0.476737i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −4.00014 | + | 6.92844i | −0.657619 | + | 1.13903i | 0.323612 | + | 0.946190i | \(0.395103\pi\) |
−0.981230 | + | 0.192839i | \(0.938231\pi\) | |||||||
\(38\) | 3.58413 | − | 6.65533i | 0.581422 | − | 1.07964i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −4.47684 | − | 2.07923i | −0.707851 | − | 0.328755i | ||||
\(41\) | − | 0.0436357i | − | 0.00681475i | −0.999994 | − | 0.00340738i | \(-0.998915\pi\) | ||
0.999994 | − | 0.00340738i | \(-0.00108460\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 5.38348i | 0.820973i | 0.911867 | + | 0.410487i | \(0.134641\pi\) | ||||
−0.911867 | + | 0.410487i | \(0.865359\pi\) | |||||||
\(44\) | −5.25768 | + | 3.46574i | −0.792625 | + | 0.522480i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 10.1488 | + | 5.46547i | 1.49636 | + | 0.805840i | ||||
\(47\) | −1.52872 | + | 2.64782i | −0.222987 | + | 0.386224i | −0.955713 | − | 0.294299i | \(-0.904914\pi\) |
0.732727 | + | 0.680523i | \(0.238247\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −4.97556 | − | 4.92380i | −0.710794 | − | 0.703401i | ||||
\(50\) | −1.45216 | − | 2.35161i | −0.205366 | − | 0.332568i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −0.402245 | − | 6.78662i | −0.0557813 | − | 0.941135i | ||||
\(53\) | −2.03636 | − | 3.52708i | −0.279715 | − | 0.484481i | 0.691599 | − | 0.722282i | \(-0.256907\pi\) |
−0.971314 | + | 0.237801i | \(0.923573\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 5.49487 | 0.740929 | ||||||||
\(56\) | 2.22065 | − | 7.14624i | 0.296746 | − | 0.954956i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −10.2542 | + | 0.303617i | −1.34644 | + | 0.0398668i | ||||
\(59\) | 3.89522 | + | 6.74671i | 0.507114 | + | 0.878347i | 0.999966 | + | 0.00823426i | \(0.00262108\pi\) |
−0.492852 | + | 0.870113i | \(0.664046\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −1.01994 | − | 0.588861i | −0.130589 | − | 0.0753959i | 0.433282 | − | 0.901258i | \(-0.357355\pi\) |
−0.563872 | + | 0.825862i | \(0.690689\pi\) | |||||||
\(62\) | 1.78703 | + | 2.89391i | 0.226954 | + | 0.367527i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 7.87416 | − | 1.41337i | 0.984270 | − | 0.176671i | ||||
\(65\) | −2.96617 | + | 5.13756i | −0.367908 | + | 0.637236i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 7.53828 | − | 4.35223i | 0.920948 | − | 0.531710i | 0.0370107 | − | 0.999315i | \(-0.488216\pi\) |
0.883937 | + | 0.467605i | \(0.154883\pi\) | |||||||
\(68\) | 6.92968 | − | 4.56789i | 0.840347 | − | 0.553938i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −5.04978 | + | 4.13993i | −0.603564 | + | 0.494817i | ||||
\(71\) | 10.7539i | 1.27625i | 0.769932 | + | 0.638126i | \(0.220290\pi\) | ||||
−0.769932 | + | 0.638126i | \(0.779710\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 14.4866 | − | 8.36382i | 1.69552 | − | 0.978911i | 0.745619 | − | 0.666372i | \(-0.232154\pi\) |
0.949905 | − | 0.312539i | \(-0.101180\pi\) | |||||||
\(74\) | −5.36458 | + | 9.96143i | −0.623620 | + | 1.15799i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 4.78794 | − | 9.55794i | 0.549214 | − | 1.09637i | ||||
\(77\) | 1.10892 | + | 8.25626i | 0.126373 | + | 0.940888i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 2.56615 | + | 1.48157i | 0.288714 | + | 0.166689i | 0.637362 | − | 0.770565i | \(-0.280026\pi\) |
−0.348648 | + | 0.937254i | \(0.613359\pi\) | |||||||
\(80\) | −6.41547 | − | 2.75180i | −0.717271 | − | 0.307661i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −0.00182638 | − | 0.0616832i | −0.000201690 | − | 0.00681177i | ||||
\(83\) | −7.83867 | −0.860405 | −0.430203 | − | 0.902732i | \(-0.641558\pi\) | ||||
−0.430203 | + | 0.902732i | \(0.641558\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −7.24230 | −0.785538 | ||||||||
\(86\) | 0.225327 | + | 7.61006i | 0.0242977 | + | 0.820614i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −7.28716 | + | 5.11922i | −0.776814 | + | 0.545710i | ||||
\(89\) | −4.07523 | − | 2.35284i | −0.431974 | − | 0.249400i | 0.268213 | − | 0.963360i | \(-0.413567\pi\) |
−0.700187 | + | 0.713959i | \(0.746900\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −8.31798 | − | 3.41998i | −0.871962 | − | 0.358511i | ||||
\(92\) | 14.5750 | + | 7.30118i | 1.51955 | + | 0.761201i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −2.05016 | + | 3.80693i | −0.211458 | + | 0.392654i | ||||
\(95\) | −8.07838 | + | 4.66405i | −0.828824 | + | 0.478522i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 11.9465i | 1.21299i | 0.795089 | + | 0.606493i | \(0.207424\pi\) | ||||
−0.795089 | + | 0.606493i | \(0.792576\pi\) | |||||||
\(98\) | −7.23950 | − | 6.75201i | −0.731300 | − | 0.682056i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −2.15119 | − | 3.26345i | −0.215119 | − | 0.326345i | ||||
\(101\) | −13.1592 | + | 7.59749i | −1.30939 | + | 0.755978i | −0.981995 | − | 0.188908i | \(-0.939505\pi\) |
−0.327398 | + | 0.944886i | \(0.606172\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −7.14374 | + | 12.3733i | −0.703894 | + | 1.21918i | 0.263195 | + | 0.964743i | \(0.415224\pi\) |
−0.967089 | + | 0.254437i | \(0.918110\pi\) | |||||||
\(104\) | −0.852667 | − | 9.57669i | −0.0836108 | − | 0.939072i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −3.02621 | − | 4.90062i | −0.293932 | − | 0.475990i | ||||
\(107\) | 11.2621 | + | 6.50215i | 1.08874 | + | 0.628586i | 0.933242 | − | 0.359249i | \(-0.116967\pi\) |
0.155502 | + | 0.987836i | \(0.450301\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 4.52814 | + | 7.84297i | 0.433717 | + | 0.751220i | 0.997190 | − | 0.0749144i | \(-0.0238683\pi\) |
−0.563473 | + | 0.826135i | \(0.690535\pi\) | |||||||
\(110\) | 7.76752 | − | 0.229989i | 0.740604 | − | 0.0219286i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 2.83999 | − | 10.1948i | 0.268353 | − | 0.963321i | ||||
\(113\) | −12.2941 | −1.15653 | −0.578265 | − | 0.815849i | \(-0.696270\pi\) | ||||
−0.578265 | + | 0.815849i | \(0.696270\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −7.11227 | − | 12.3188i | −0.663223 | − | 1.14874i | ||||
\(116\) | −14.4825 | + | 0.858382i | −1.34467 | + | 0.0796987i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 5.78864 | + | 9.37408i | 0.532888 | + | 0.862954i | ||||
\(119\) | −1.46157 | − | 10.8818i | −0.133982 | − | 0.997537i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −0.543179 | + | 0.940814i | −0.0493799 | + | 0.0855286i | ||||
\(122\) | −1.46642 | − | 0.789720i | −0.132764 | − | 0.0714979i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 2.64727 | + | 4.01601i | 0.237731 | + | 0.360649i | ||||
\(125\) | 12.1366i | 1.08553i | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 4.04936i | 0.359322i | 0.983729 | + | 0.179661i | \(0.0575002\pi\) | ||||
−0.983729 | + | 0.179661i | \(0.942500\pi\) | |||||||
\(128\) | 11.0717 | − | 2.32750i | 0.978610 | − | 0.205724i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −3.97793 | + | 7.38658i | −0.348887 | + | 0.647845i | ||||
\(131\) | 6.81934 | − | 11.8114i | 0.595808 | − | 1.03197i | −0.397624 | − | 0.917549i | \(-0.630165\pi\) |
0.993432 | − | 0.114422i | \(-0.0365016\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −8.63822 | − | 11.1968i | −0.749028 | − | 0.970888i | ||||
\(134\) | 10.4739 | − | 6.46780i | 0.904808 | − | 0.558733i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 9.60456 | − | 6.74718i | 0.823585 | − | 0.578566i | ||||
\(137\) | −2.24543 | − | 3.88919i | −0.191840 | − | 0.332276i | 0.754020 | − | 0.656851i | \(-0.228112\pi\) |
−0.945860 | + | 0.324575i | \(0.894779\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −11.2927 | −0.957836 | −0.478918 | − | 0.877860i | \(-0.658971\pi\) | ||||
−0.478918 | + | 0.877860i | \(0.658971\pi\) | |||||||
\(140\) | −6.96506 | + | 6.06354i | −0.588655 | + | 0.512463i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0.450107 | + | 15.2016i | 0.0377721 | + | 1.27569i | ||||
\(143\) | 5.35145 | + | 9.26899i | 0.447511 | + | 0.775112i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 10.9634 | + | 6.32975i | 0.910465 | + | 0.525657i | ||||
\(146\) | 20.1281 | − | 12.4294i | 1.66581 | − | 1.02866i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −7.16640 | + | 14.3060i | −0.589074 | + | 1.17594i | ||||
\(149\) | 9.21596 | − | 15.9625i | 0.755001 | − | 1.30770i | −0.190373 | − | 0.981712i | \(-0.560970\pi\) |
0.945374 | − | 0.325988i | \(-0.105697\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −2.52537 | + | 1.45802i | −0.205511 | + | 0.118652i | −0.599224 | − | 0.800582i | \(-0.704524\pi\) |
0.393712 | + | 0.919234i | \(0.371191\pi\) | |||||||
\(152\) | 6.36815 | − | 13.7115i | 0.516525 | − | 1.11215i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 1.91313 | + | 11.6246i | 0.154164 | + | 0.936736i | ||||
\(155\) | − | 4.19719i | − | 0.337127i | ||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 1.83218 | − | 1.05781i | 0.146224 | − | 0.0844225i | −0.425103 | − | 0.905145i | \(-0.639762\pi\) |
0.571327 | + | 0.820722i | \(0.306429\pi\) | |||||||
\(158\) | 3.68951 | + | 1.98693i | 0.293521 | + | 0.158071i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −9.18404 | − | 3.62141i | −0.726062 | − | 0.286298i | ||||
\(161\) | 17.0742 | − | 13.1725i | 1.34563 | − | 1.03814i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −1.05056 | − | 0.606543i | −0.0822865 | − | 0.0475081i | 0.458292 | − | 0.888802i | \(-0.348461\pi\) |
−0.540579 | + | 0.841293i | \(0.681795\pi\) | |||||||
\(164\) | −0.00516353 | − | 0.0871185i | −0.000403204 | − | 0.00680281i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −11.0807 | + | 0.328090i | −0.860028 | + | 0.0254647i | ||||
\(167\) | −12.5840 | −0.973777 | −0.486888 | − | 0.873464i | \(-0.661868\pi\) | ||||
−0.486888 | + | 0.873464i | \(0.661868\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 1.44498 | 0.111153 | ||||||||
\(170\) | −10.2377 | + | 0.303129i | −0.785194 | + | 0.0232489i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0.637042 | + | 10.7481i | 0.0485740 | + | 0.819535i | ||||
\(173\) | −6.28324 | − | 3.62763i | −0.477706 | − | 0.275804i | 0.241754 | − | 0.970338i | \(-0.422277\pi\) |
−0.719460 | + | 0.694534i | \(0.755611\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −5.12467 | + | 0.688307i | −0.387388 | + | 0.0520311i | ||||
\(176\) | −10.0868 | + | 7.54150i | −0.760323 | + | 0.568462i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −5.85920 | − | 3.15539i | −0.439166 | − | 0.236506i | ||||
\(179\) | 1.52858 | − | 0.882525i | 0.114251 | − | 0.0659630i | −0.441785 | − | 0.897121i | \(-0.645655\pi\) |
0.556037 | + | 0.831158i | \(0.312321\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 1.28610i | 0.0955948i | 0.998857 | + | 0.0477974i | \(0.0152202\pi\) | ||||
−0.998857 | + | 0.0477974i | \(0.984780\pi\) | |||||||
\(182\) | −11.9014 | − | 4.48631i | −0.882190 | − | 0.332547i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 20.9088 | + | 9.71087i | 1.54141 | + | 0.715895i | ||||
\(185\) | 12.0914 | − | 6.98097i | 0.888978 | − | 0.513251i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −6.53315 | + | 11.3157i | −0.477751 | + | 0.827489i | ||||
\(188\) | −2.73876 | + | 5.46726i | −0.199744 | + | 0.398741i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −11.2243 | + | 6.93120i | −0.814299 | + | 0.502842i | ||||
\(191\) | 2.68691 | + | 1.55129i | 0.194418 | + | 0.112247i | 0.594049 | − | 0.804429i | \(-0.297528\pi\) |
−0.399631 | + | 0.916676i | \(0.630862\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 9.62484 | + | 16.6707i | 0.692811 | + | 1.19998i | 0.970913 | + | 0.239432i | \(0.0769613\pi\) |
−0.278102 | + | 0.960551i | \(0.589705\pi\) | |||||||
\(194\) | 0.500025 | + | 16.8875i | 0.0358997 | + | 1.21245i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −10.5163 | − | 9.24159i | −0.751166 | − | 0.660113i | ||||
\(197\) | 16.1765 | 1.15253 | 0.576264 | − | 0.817263i | \(-0.304510\pi\) | ||||
0.576264 | + | 0.817263i | \(0.304510\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 3.03212 | + | 5.25179i | 0.214941 | + | 0.372289i | 0.953254 | − | 0.302169i | \(-0.0977106\pi\) |
−0.738313 | + | 0.674458i | \(0.764377\pi\) | |||||||
\(200\) | −3.17750 | − | 4.52315i | −0.224683 | − | 0.319835i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −18.2838 | + | 11.2905i | −1.28645 | + | 0.794400i | ||||
\(203\) | −7.29816 | + | 17.7504i | −0.512230 | + | 1.24583i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −0.0380762 | + | 0.0659498i | −0.00265935 | + | 0.00460614i | ||||
\(206\) | −9.58046 | + | 17.7899i | −0.667502 | + | 1.23948i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −1.60616 | − | 13.5019i | −0.111367 | − | 0.936186i | ||||
\(209\) | 16.8294i | 1.16412i | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 4.15702i | 0.286181i | 0.989710 | + | 0.143091i | \(0.0457040\pi\) | ||||
−0.989710 | + | 0.143091i | \(0.954296\pi\) | |||||||
\(212\) | −4.48295 | − | 6.80083i | −0.307890 | − | 0.467083i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 16.1921 | + | 8.72002i | 1.10687 | + | 0.596088i | ||||
\(215\) | 4.69758 | − | 8.13645i | 0.320372 | − | 0.554901i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 6.30644 | − | 0.847035i | 0.428109 | − | 0.0575004i | ||||
\(218\) | 6.72922 | + | 10.8972i | 0.455760 | + | 0.738055i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 10.9705 | − | 0.650223i | 0.739631 | − | 0.0438381i | ||||
\(221\) | −7.05328 | − | 12.2166i | −0.474455 | − | 0.821780i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −0.863765 | −0.0578420 | −0.0289210 | − | 0.999582i | \(-0.509207\pi\) | ||||
−0.0289210 | + | 0.999582i | \(0.509207\pi\) | |||||||
\(224\) | 3.58788 | − | 14.5302i | 0.239725 | − | 0.970841i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −17.3788 | + | 0.514572i | −1.15602 | + | 0.0342289i | ||||
\(227\) | −2.80804 | − | 4.86367i | −0.186376 | − | 0.322813i | 0.757663 | − | 0.652646i | \(-0.226341\pi\) |
−0.944039 | + | 0.329833i | \(0.893008\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −24.7154 | − | 14.2694i | −1.63324 | − | 0.942950i | −0.983086 | − | 0.183145i | \(-0.941372\pi\) |
−0.650152 | − | 0.759805i | \(-0.725295\pi\) | |||||||
\(230\) | −10.5695 | − | 17.1161i | −0.696930 | − | 1.12860i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −20.4365 | + | 1.81957i | −1.34172 | + | 0.119461i | ||||
\(233\) | 10.7308 | − | 18.5863i | 0.703000 | − | 1.21763i | −0.264409 | − | 0.964411i | \(-0.585177\pi\) |
0.967409 | − | 0.253221i | \(-0.0814899\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 4.62093 | − | 2.66790i | 0.301436 | − | 0.174034i | ||||
\(236\) | 8.57514 | + | 13.0089i | 0.558194 | + | 0.846805i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −2.52153 | − | 15.3213i | −0.163446 | − | 0.993134i | ||||
\(239\) | − | 22.3476i | − | 1.44555i | −0.691086 | − | 0.722773i | \(-0.742867\pi\) | ||
0.691086 | − | 0.722773i | \(-0.257133\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 18.9331 | − | 10.9310i | 1.21959 | − | 0.704130i | 0.254759 | − | 0.967005i | \(-0.418004\pi\) |
0.964830 | + | 0.262875i | \(0.0846706\pi\) | |||||||
\(242\) | −0.728457 | + | 1.35266i | −0.0468270 | + | 0.0869525i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −2.10598 | − | 1.05497i | −0.134822 | − | 0.0675373i | ||||
\(245\) | 3.22345 | + | 11.7833i | 0.205939 | + | 0.752810i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −15.7351 | − | 9.08464i | −1.00120 | − | 0.578042i | ||||
\(248\) | 3.91025 | + | 5.56621i | 0.248301 | + | 0.353455i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 0.507980 | + | 17.1562i | 0.0321275 | + | 1.08505i | ||||
\(251\) | −6.30849 | −0.398189 | −0.199094 | − | 0.979980i | \(-0.563800\pi\) | ||||
−0.199094 | + | 0.979980i | \(0.563800\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −25.6634 | −1.61344 | ||||||||
\(254\) | 0.169487 | + | 5.72415i | 0.0106346 | + | 0.359165i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 15.5535 | − | 3.75355i | 0.972093 | − | 0.234597i | ||||
\(257\) | 23.3700 | + | 13.4927i | 1.45778 | + | 0.841650i | 0.998902 | − | 0.0468481i | \(-0.0149177\pi\) |
0.458879 | + | 0.888499i | \(0.348251\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 12.9293 | + | 16.7590i | 0.803390 | + | 1.04135i | ||||
\(260\) | −5.31401 | + | 10.6081i | −0.329561 | + | 0.657887i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 9.14541 | − | 16.9820i | 0.565005 | − | 1.04915i | ||||
\(263\) | 18.0702 | − | 10.4328i | 1.11426 | − | 0.643316i | 0.174327 | − | 0.984688i | \(-0.444225\pi\) |
0.939928 | + | 0.341372i | \(0.110892\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 7.10764i | 0.436619i | ||||||||
\(266\) | −12.6796 | − | 15.4662i | −0.777435 | − | 0.948294i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 14.5351 | − | 9.58124i | 0.887875 | − | 0.585267i | ||||
\(269\) | 8.27930 | − | 4.78006i | 0.504798 | − | 0.291445i | −0.225895 | − | 0.974152i | \(-0.572531\pi\) |
0.730693 | + | 0.682707i | \(0.239197\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 7.03688 | − | 12.1882i | 0.427460 | − | 0.740383i | −0.569187 | − | 0.822208i | \(-0.692742\pi\) |
0.996647 | + | 0.0818258i | \(0.0260751\pi\) | |||||||
\(272\) | 13.2945 | − | 9.93978i | 0.806100 | − | 0.602688i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −3.33691 | − | 5.40376i | −0.201590 | − | 0.326453i | ||||
\(275\) | 5.32901 | + | 3.07670i | 0.321351 | + | 0.185532i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 3.53991 | + | 6.13130i | 0.212692 | + | 0.368394i | 0.952556 | − | 0.304362i | \(-0.0984434\pi\) |
−0.739864 | + | 0.672757i | \(0.765110\pi\) | |||||||
\(278\) | −15.9633 | + | 0.472660i | −0.957416 | + | 0.0283483i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −9.59197 | + | 8.86292i | −0.573230 | + | 0.529660i | ||||
\(281\) | −33.0322 | −1.97054 | −0.985268 | − | 0.171019i | \(-0.945294\pi\) | ||||
−0.985268 | + | 0.171019i | \(0.945294\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 3.23766 | + | 5.60778i | 0.192459 | + | 0.333348i | 0.946064 | − | 0.323978i | \(-0.105021\pi\) |
−0.753606 | + | 0.657327i | \(0.771687\pi\) | |||||||
\(284\) | 1.27254 | + | 21.4701i | 0.0755112 | + | 1.27402i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 7.95274 | + | 12.8786i | 0.470255 | + | 0.761528i | ||||
\(287\) | −0.106776 | − | 0.0439016i | −0.00630281 | − | 0.00259143i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 0.110758 | − | 0.191839i | 0.00651518 | − | 0.0112846i | ||||
\(290\) | 15.7628 | + | 8.48882i | 0.925623 | + | 0.498481i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 27.9327 | − | 18.4126i | 1.63464 | − | 1.07751i | ||||
\(293\) | 18.9712i | 1.10831i | 0.832414 | + | 0.554154i | \(0.186958\pi\) | ||||
−0.832414 | + | 0.554154i | \(0.813042\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | − | 13.5957i | − | 0.791574i | ||||||
\(296\) | −9.53160 | + | 20.5228i | −0.554013 | + | 1.19286i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 12.3595 | − | 22.9503i | 0.715967 | − | 1.32947i | ||||
\(299\) | 13.8533 | − | 23.9946i | 0.801155 | − | 1.38764i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 13.1733 | + | 5.41628i | 0.759299 | + | 0.312189i | ||||
\(302\) | −3.50882 | + | 2.16675i | −0.201910 | + | 0.124682i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 8.42808 | − | 19.6490i | 0.483384 | − | 1.12695i | ||||
\(305\) | 1.02767 | + | 1.77998i | 0.0588442 | + | 0.101921i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −6.30262 | −0.359709 | −0.179855 | − | 0.983693i | \(-0.557563\pi\) | ||||
−0.179855 | + | 0.983693i | \(0.557563\pi\) | |||||||
\(308\) | 3.19094 | + | 16.3524i | 0.181821 | + | 0.931763i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −0.175675 | − | 5.93313i | −0.00997765 | − | 0.336979i | ||||
\(311\) | −14.3143 | − | 24.7931i | −0.811691 | − | 1.40589i | −0.911680 | − | 0.410901i | \(-0.865214\pi\) |
0.0999893 | − | 0.994989i | \(-0.468119\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 2.56163 | + | 1.47896i | 0.144792 | + | 0.0835956i | 0.570646 | − | 0.821196i | \(-0.306693\pi\) |
−0.425854 | + | 0.904792i | \(0.640026\pi\) | |||||||
\(314\) | 2.54569 | − | 1.57200i | 0.143661 | − | 0.0887132i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 5.29863 | + | 2.65428i | 0.298071 | + | 0.149315i | ||||
\(317\) | 7.24576 | − | 12.5500i | 0.406963 | − | 0.704880i | −0.587585 | − | 0.809162i | \(-0.699921\pi\) |
0.994548 | + | 0.104283i | \(0.0332546\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 19.7798 | − | 11.4199i | 1.10746 | − | 0.639391i | ||||
\(320\) | −13.1341 | − | 4.73480i | −0.734218 | − | 0.264684i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 23.5846 | − | 19.3352i | 1.31432 | − | 1.07751i | ||||
\(323\) | − | 22.1814i | − | 1.23420i | ||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −5.75327 | + | 3.32165i | −0.319134 | + | 0.184252i | ||||
\(326\) | −1.51046 | − | 0.813434i | −0.0836565 | − | 0.0450519i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −0.0109455 | − | 0.122934i | −0.000604365 | − | 0.00678790i | ||||
\(329\) | 4.94116 | + | 6.40472i | 0.272415 | + | 0.353103i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 26.9846 | + | 15.5796i | 1.48321 | + | 0.856330i | 0.999818 | − | 0.0190761i | \(-0.00607248\pi\) |
0.483389 | + | 0.875406i | \(0.339406\pi\) | |||||||
\(332\) | −15.6499 | + | 0.927571i | −0.858898 | + | 0.0509071i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −17.7886 | + | 0.526706i | −0.973350 | + | 0.0288201i | ||||
\(335\) | −15.1909 | −0.829967 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −2.65831 | −0.144807 | −0.0724036 | − | 0.997375i | \(-0.523067\pi\) | ||||
−0.0724036 | + | 0.997375i | \(0.523067\pi\) | |||||||
\(338\) | 2.04262 | − | 0.0604802i | 0.111104 | − | 0.00328969i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −14.4592 | + | 0.857002i | −0.784162 | + | 0.0464774i | ||||
\(341\) | −6.55790 | − | 3.78621i | −0.355130 | − | 0.205035i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −17.0544 | + | 7.22135i | −0.920850 | + | 0.389916i | ||||
\(344\) | 1.35038 | + | 15.1668i | 0.0728078 | + | 0.817738i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −9.03379 | − | 4.86501i | −0.485660 | − | 0.261545i | ||||
\(347\) | −4.73026 | + | 2.73102i | −0.253933 | + | 0.146609i | −0.621564 | − | 0.783363i | \(-0.713502\pi\) |
0.367631 | + | 0.929972i | \(0.380169\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 5.66488i | 0.303234i | 0.988439 | + | 0.151617i | \(0.0484480\pi\) | ||||
−0.988439 | + | 0.151617i | \(0.951552\pi\) | |||||||
\(350\) | −7.21539 | + | 1.18748i | −0.385679 | + | 0.0634735i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −13.9430 | + | 11.0828i | −0.743166 | + | 0.590715i | ||||
\(353\) | 4.49048 | − | 2.59258i | 0.239004 | − | 0.137989i | −0.375715 | − | 0.926735i | \(-0.622603\pi\) |
0.614719 | + | 0.788746i | \(0.289269\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 9.38375 | − | 16.2531i | 0.498038 | − | 0.862627i | ||||
\(356\) | −8.41460 | − | 4.21519i | −0.445973 | − | 0.223405i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 2.12385 | − | 1.31151i | 0.112249 | − | 0.0693155i | ||||
\(359\) | −2.38293 | − | 1.37579i | −0.125766 | − | 0.0726113i | 0.435797 | − | 0.900045i | \(-0.356467\pi\) |
−0.561563 | + | 0.827434i | \(0.689800\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −4.78483 | − | 8.28757i | −0.251833 | − | 0.436188i | ||||
\(362\) | 0.0538299 | + | 1.81802i | 0.00282924 | + | 0.0955529i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −17.0115 | − | 5.84368i | −0.891646 | − | 0.306292i | ||||
\(365\) | −29.1928 | −1.52802 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −15.7346 | − | 27.2531i | −0.821340 | − | 1.42260i | −0.904685 | − | 0.426081i | \(-0.859894\pi\) |
0.0833450 | − | 0.996521i | \(-0.473440\pi\) | |||||||
\(368\) | 29.9629 | + | 12.8521i | 1.56193 | + | 0.669961i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 16.8001 | − | 10.3744i | 0.873398 | − | 0.539337i | ||||
\(371\) | −10.6795 | + | 1.43439i | −0.554452 | + | 0.0744699i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 1.14632 | − | 1.98548i | 0.0593540 | − | 0.102804i | −0.834822 | − | 0.550521i | \(-0.814429\pi\) |
0.894176 | + | 0.447716i | \(0.147763\pi\) | |||||||
\(374\) | −8.76159 | + | 16.2693i | −0.453051 | + | 0.841266i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −3.64266 | + | 7.84312i | −0.187856 | + | 0.404478i | ||||
\(377\) | 24.6582i | 1.26996i | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 7.27551i | 0.373718i | 0.982387 | + | 0.186859i | \(0.0598307\pi\) | ||||
−0.982387 | + | 0.186859i | \(0.940169\pi\) | |||||||
\(380\) | −15.5765 | + | 10.2677i | −0.799060 | + | 0.526722i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 3.86313 | + | 2.08043i | 0.197655 | + | 0.106444i | ||||
\(383\) | −6.41999 | + | 11.1197i | −0.328046 | + | 0.568193i | −0.982124 | − | 0.188235i | \(-0.939723\pi\) |
0.654078 | + | 0.756427i | \(0.273057\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 5.52835 | − | 13.4459i | 0.281751 | − | 0.685268i | ||||
\(386\) | 14.3034 | + | 23.1628i | 0.728022 | + | 1.17895i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 1.41366 | + | 23.8512i | 0.0717679 | + | 1.21086i | ||||
\(389\) | 14.0867 | + | 24.3988i | 0.714223 | + | 1.23707i | 0.963259 | + | 0.268576i | \(0.0865530\pi\) |
−0.249036 | + | 0.968494i | \(0.580114\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 33.8246 | 1.71058 | ||||||||
\(392\) | −15.2526 | − | 12.6237i | −0.770374 | − | 0.637592i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 22.8670 | − | 0.677073i | 1.15202 | − | 0.0341104i | ||||
\(395\) | −2.58561 | − | 4.47840i | −0.130096 | − | 0.225333i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −25.5945 | − | 14.7770i | −1.28455 | − | 0.741635i | −0.306873 | − | 0.951751i | \(-0.599283\pi\) |
−0.977676 | + | 0.210116i | \(0.932616\pi\) | |||||||
\(398\) | 4.50600 | + | 7.29699i | 0.225866 | + | 0.365765i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −4.68102 | − | 6.26090i | −0.234051 | − | 0.313045i | ||||
\(401\) | −6.40446 | + | 11.0929i | −0.319824 | + | 0.553951i | −0.980451 | − | 0.196763i | \(-0.936957\pi\) |
0.660627 | + | 0.750714i | \(0.270290\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 7.08001 | − | 4.08764i | 0.352680 | − | 0.203620i | ||||
\(404\) | −25.3733 | + | 16.7255i | −1.26237 | + | 0.832126i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −9.57369 | + | 25.3973i | −0.475134 | + | 1.26045i | ||||
\(407\) | − | 25.1896i | − | 1.24860i | ||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 25.2149 | − | 14.5579i | 1.24680 | − | 0.719840i | 0.276329 | − | 0.961063i | \(-0.410882\pi\) |
0.970470 | + | 0.241223i | \(0.0775486\pi\) | |||||||
\(410\) | −0.0510639 | + | 0.0948200i | −0.00252187 | + | 0.00468283i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −12.7983 | + | 25.5486i | −0.630526 | + | 1.25869i | ||||
\(413\) | 20.4281 | − | 2.74375i | 1.00520 | − | 0.135011i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 11.8471 | + | 6.83995i | 0.581554 | + | 0.335760i | ||||
\(416\) | −2.83558 | − | 19.0189i | −0.139026 | − | 0.932480i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0.704400 | + | 23.7900i | 0.0344533 | + | 1.16361i | ||||
\(419\) | 35.4929 | 1.73394 | 0.866971 | − | 0.498359i | \(-0.166064\pi\) | ||||
0.866971 | + | 0.498359i | \(0.166064\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −36.4676 | −1.77732 | −0.888660 | − | 0.458567i | \(-0.848363\pi\) | ||||
−0.888660 | + | 0.458567i | \(0.848363\pi\) | |||||||
\(422\) | 0.173993 | + | 5.87634i | 0.00846986 | + | 0.286056i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −6.62172 | − | 9.42597i | −0.321579 | − | 0.457766i | ||||
\(425\) | −7.02369 | − | 4.05513i | −0.340699 | − | 0.196703i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −2.46709 | + | 1.90333i | −0.119391 | + | 0.0921086i | ||||
\(428\) | 23.2541 | + | 11.6488i | 1.12403 | + | 0.563068i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 6.29992 | − | 11.6983i | 0.303809 | − | 0.564140i | ||||
\(431\) | 21.5079 | − | 12.4176i | 1.03600 | − | 0.598134i | 0.117301 | − | 0.993096i | \(-0.462576\pi\) |
0.918697 | + | 0.394962i | \(0.129242\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 17.3503i | − | 0.833801i | −0.908952 | − | 0.416900i | \(-0.863116\pi\) | ||
0.908952 | − | 0.416900i | \(-0.136884\pi\) | |||||||
\(434\) | 8.87930 | − | 1.46132i | 0.426220 | − | 0.0701456i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 9.96850 | + | 15.1226i | 0.477404 | + | 0.724243i | ||||
\(437\) | 37.7294 | − | 21.7831i | 1.80484 | − | 1.04203i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −6.74162 | + | 11.6768i | −0.321760 | + | 0.557304i | −0.980851 | − | 0.194758i | \(-0.937608\pi\) |
0.659091 | + | 0.752063i | \(0.270941\pi\) | |||||||
\(440\) | 15.4806 | − | 1.37833i | 0.738009 | − | 0.0657091i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −10.4818 | − | 16.9741i | −0.498568 | − | 0.807378i | ||||
\(443\) | −24.9668 | − | 14.4146i | −1.18621 | − | 0.684858i | −0.228766 | − | 0.973481i | \(-0.573469\pi\) |
−0.957443 | + | 0.288624i | \(0.906802\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 4.10613 | + | 7.11203i | 0.194649 | + | 0.337142i | ||||
\(446\) | −1.22101 | + | 0.0361531i | −0.0578166 | + | 0.00171190i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 4.46364 | − | 20.6900i | 0.210887 | − | 0.977510i | ||||
\(449\) | 4.75749 | 0.224520 | 0.112260 | − | 0.993679i | \(-0.464191\pi\) | ||||
0.112260 | + | 0.993679i | \(0.464191\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0.0686956 | + | 0.118984i | 0.00323475 | + | 0.00560275i | ||||
\(452\) | −24.5451 | + | 1.45479i | −1.15450 | + | 0.0684277i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −4.17300 | − | 6.75772i | −0.195849 | − | 0.317156i | ||||
\(455\) | 9.58733 | + | 12.4271i | 0.449461 | + | 0.582590i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 3.50860 | − | 6.07707i | 0.164125 | − | 0.284273i | −0.772219 | − | 0.635356i | \(-0.780853\pi\) |
0.936344 | + | 0.351083i | \(0.114187\pi\) | |||||||
\(458\) | −35.5347 | − | 19.1367i | −1.66043 | − | 0.894199i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −15.6573 | − | 23.7528i | −0.730027 | − | 1.10748i | ||||
\(461\) | − | 9.12188i | − | 0.424848i | −0.977178 | − | 0.212424i | \(-0.931864\pi\) | ||
0.977178 | − | 0.212424i | \(-0.0681359\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 3.92320i | 0.182326i | 0.995836 | + | 0.0911632i | \(0.0290585\pi\) | ||||
−0.995836 | + | 0.0911632i | \(0.970942\pi\) | |||||||
\(464\) | −28.8127 | + | 3.42751i | −1.33760 | + | 0.159118i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 14.3911 | − | 26.7227i | 0.666655 | − | 1.23790i | ||||
\(467\) | −15.4364 | + | 26.7366i | −0.714311 | + | 1.23722i | 0.248913 | + | 0.968526i | \(0.419927\pi\) |
−0.963225 | + | 0.268698i | \(0.913407\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −3.06567 | − | 22.8249i | −0.141559 | − | 1.05396i | ||||
\(470\) | 6.42045 | − | 3.96473i | 0.296153 | − | 0.182879i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 12.6663 | + | 18.0303i | 0.583012 | + | 0.829913i | ||||
\(473\) | −8.47520 | − | 14.6795i | −0.389690 | − | 0.674963i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −10.4460 | −0.479297 | ||||||||
\(476\) | −4.20569 | − | 21.5526i | −0.192768 | − | 0.987862i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −0.935364 | − | 31.5904i | −0.0427826 | − | 1.44491i | ||||
\(479\) | 20.2431 | + | 35.0622i | 0.924933 | + | 1.60203i | 0.791669 | + | 0.610950i | \(0.209212\pi\) |
0.133264 | + | 0.991081i | \(0.457454\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 23.5516 | + | 13.5975i | 1.07386 | + | 0.619994i | ||||
\(482\) | 26.3062 | − | 16.2445i | 1.19821 | − | 0.739917i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −0.973126 | + | 1.94261i | −0.0442330 | + | 0.0883003i | ||||
\(485\) | 10.4244 | − | 18.0556i | 0.473349 | − | 0.819865i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −18.2669 | + | 10.5464i | −0.827751 | + | 0.477902i | −0.853082 | − | 0.521777i | \(-0.825269\pi\) |
0.0253310 | + | 0.999679i | \(0.491936\pi\) | |||||||
\(488\) | −3.02116 | − | 1.40315i | −0.136761 | − | 0.0635175i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 5.04985 | + | 16.5219i | 0.228129 | + | 0.746385i | ||||
\(491\) | − | 9.42666i | − | 0.425419i | −0.977115 | − | 0.212710i | \(-0.931771\pi\) | ||
0.977115 | − | 0.212710i | \(-0.0682288\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −26.0700 | + | 15.0515i | −1.17414 | + | 0.677888i | ||||
\(494\) | −22.6232 | − | 12.1834i | −1.01787 | − | 0.548157i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 5.76048 | + | 7.70470i | 0.258653 | + | 0.345951i | ||||
\(497\) | 26.3147 | + | 10.8194i | 1.18038 | + | 0.485317i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 6.44025 | + | 3.71828i | 0.288305 | + | 0.166453i | 0.637177 | − | 0.770717i | \(-0.280102\pi\) |
−0.348872 | + | 0.937170i | \(0.613435\pi\) | |||||||
\(500\) | 1.43616 | + | 24.2307i | 0.0642268 | + | 1.08363i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −8.91765 | + | 0.264044i | −0.398014 | + | 0.0117848i | ||||
\(503\) | −28.9841 | −1.29234 | −0.646168 | − | 0.763195i | \(-0.723629\pi\) | ||||
−0.646168 | + | 0.763195i | \(0.723629\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 26.5180 | 1.18004 | ||||||||
\(506\) | −36.2776 | + | 1.07415i | −1.61274 | + | 0.0477517i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 0.479172 | + | 8.08453i | 0.0212598 | + | 0.358693i | ||||
\(509\) | 3.35237 | + | 1.93549i | 0.148591 | + | 0.0857892i | 0.572452 | − | 0.819938i | \(-0.305992\pi\) |
−0.423861 | + | 0.905727i | \(0.639325\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −5.89139 | − | 43.8633i | −0.260620 | − | 1.94040i | ||||
\(512\) | 21.8292 | − | 5.95699i | 0.964724 | − | 0.263264i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 33.6005 | + | 18.0950i | 1.48205 | + | 0.798137i | ||||
\(515\) | 21.5937 | − | 12.4671i | 0.951533 | − | 0.549368i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | − | 9.62663i | − | 0.423379i | ||||||
\(518\) | 18.9783 | + | 23.1492i | 0.833858 | + | 1.01712i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −7.06785 | + | 15.2180i | −0.309946 | + | 0.667353i | ||||
\(521\) | −22.5775 | + | 13.0351i | −0.989138 | + | 0.571079i | −0.905017 | − | 0.425376i | \(-0.860142\pi\) |
−0.0841215 | + | 0.996456i | \(0.526808\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 16.5356 | − | 28.6406i | 0.723053 | − | 1.25237i | −0.236717 | − | 0.971579i | \(-0.576071\pi\) |
0.959770 | − | 0.280786i | \(-0.0905953\pi\) | |||||||
\(524\) | 12.2171 | − | 24.3885i | 0.533707 | − | 1.06541i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 25.1072 | − | 15.5041i | 1.09473 | − | 0.676012i | ||||
\(527\) | 8.64339 | + | 4.99026i | 0.376512 | + | 0.217379i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 21.7173 | + | 37.6155i | 0.944230 | + | 1.63545i | ||||
\(530\) | 0.297492 | + | 10.0473i | 0.0129222 | + | 0.436427i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −18.5711 | − | 21.3322i | −0.805160 | − | 0.924869i | ||||
\(533\) | −0.148329 | −0.00642486 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −11.3474 | − | 19.6543i | −0.490593 | − | 0.849731i | ||||
\(536\) | 20.1458 | − | 14.1524i | 0.870165 | − | 0.611289i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 11.5035 | − | 7.10359i | 0.495951 | − | 0.306258i | ||||
\(539\) | 21.3187 | + | 5.59304i | 0.918261 | + | 0.240909i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −17.9702 | + | 31.1253i | −0.772598 | + | 1.33818i | 0.163536 | + | 0.986537i | \(0.447710\pi\) |
−0.936135 | + | 0.351642i | \(0.885623\pi\) | |||||||
\(542\) | 9.43715 | − | 17.5237i | 0.405360 | − | 0.752709i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 18.3771 | − | 14.6073i | 0.787910 | − | 0.626281i | ||||
\(545\) | − | 15.8049i | − | 0.677006i | ||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | − | 15.9365i | − | 0.681394i | −0.940173 | − | 0.340697i | \(-0.889337\pi\) | ||
0.940173 | − | 0.340697i | \(-0.110663\pi\) | |||||||
\(548\) | −4.94321 | − | 7.49905i | −0.211163 | − | 0.320344i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 7.66183 | + | 4.12616i | 0.326701 | + | 0.175940i | ||||
\(551\) | −19.3864 | + | 33.5783i | −0.825890 | + | 1.43048i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 6.20717 | − | 4.78876i | 0.263956 | − | 0.203639i | ||||
\(554\) | 5.26062 | + | 8.51901i | 0.223502 | + | 0.361938i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −22.5459 | + | 1.33630i | −0.956158 | + | 0.0566717i | ||||
\(557\) | −14.5279 | − | 25.1631i | −0.615568 | − | 1.06620i | −0.990285 | − | 0.139056i | \(-0.955593\pi\) |
0.374716 | − | 0.927140i | \(-0.377740\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 18.2999 | 0.774003 | ||||||||
\(560\) | −13.1882 | + | 12.9300i | −0.557303 | + | 0.546394i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −46.6941 | + | 1.38257i | −1.96967 | + | 0.0583203i | ||||
\(563\) | −14.1540 | − | 24.5154i | −0.596520 | − | 1.03320i | −0.993331 | − | 0.115302i | \(-0.963216\pi\) |
0.396811 | − | 0.917900i | \(-0.370117\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 18.5810 | + | 10.7277i | 0.781707 | + | 0.451319i | ||||
\(566\) | 4.81145 | + | 7.79162i | 0.202240 | + | 0.327506i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 2.69749 | + | 30.2967i | 0.113184 | + | 1.27122i | ||||
\(569\) | 11.1284 | − | 19.2749i | 0.466525 | − | 0.808046i | −0.532743 | − | 0.846277i | \(-0.678839\pi\) |
0.999269 | + | 0.0382310i | \(0.0121723\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −21.1885 | + | 12.2332i | −0.886712 | + | 0.511943i | −0.872866 | − | 0.487961i | \(-0.837741\pi\) |
−0.0138464 | + | 0.999904i | \(0.504408\pi\) | |||||||
\(572\) | 11.7810 | + | 17.8723i | 0.492588 | + | 0.747277i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −0.152776 | − | 0.0575898i | −0.00637674 | − | 0.00240375i | ||||
\(575\) | − | 15.9293i | − | 0.664297i | ||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −11.3480 | + | 6.55179i | −0.472425 | + | 0.272755i | −0.717254 | − | 0.696811i | \(-0.754601\pi\) |
0.244829 | + | 0.969566i | \(0.421268\pi\) | |||||||
\(578\) | 0.148537 | − | 0.275818i | 0.00617834 | − | 0.0114725i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 22.6375 | + | 11.3400i | 0.939971 | + | 0.470867i | ||||
\(581\) | −7.88642 | + | 19.1812i | −0.327184 | + | 0.795769i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 11.1053 | + | 6.41166i | 0.459936 | + | 0.265544i | ||||
\(584\) | 38.7148 | − | 27.1970i | 1.60203 | − | 1.12542i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 0.794045 | + | 26.8176i | 0.0328017 | + | 1.10782i | ||||
\(587\) | −35.2610 | −1.45538 | −0.727688 | − | 0.685908i | \(-0.759405\pi\) | ||||
−0.727688 | + | 0.685908i | \(0.759405\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 12.8549 | 0.529679 | ||||||||
\(590\) | −0.569053 | − | 19.2189i | −0.0234276 | − | 0.791228i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −12.6148 | + | 29.4098i | −0.518466 | + | 1.20874i | ||||
\(593\) | −20.4717 | − | 11.8193i | −0.840670 | − | 0.485361i | 0.0168218 | − | 0.999859i | \(-0.494645\pi\) |
−0.857492 | + | 0.514497i | \(0.827979\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −7.28643 | + | 17.7219i | −0.298714 | + | 0.726526i | ||||
\(596\) | 16.5107 | − | 32.9596i | 0.676306 | − | 1.35008i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 18.5786 | − | 34.4984i | 0.759736 | − | 1.41075i | ||||
\(599\) | 11.0108 | − | 6.35709i | 0.449889 | − | 0.259744i | −0.257894 | − | 0.966173i | \(-0.583029\pi\) |
0.707783 | + | 0.706429i | \(0.249695\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | − | 30.7523i | − | 1.25441i | −0.778853 | − | 0.627207i | \(-0.784198\pi\) | ||
0.778853 | − | 0.627207i | \(-0.215802\pi\) | |||||||
\(602\) | 18.8485 | + | 7.10505i | 0.768206 | + | 0.289580i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −4.86936 | + | 3.20977i | −0.198131 | + | 0.130604i | ||||
\(605\) | 1.64189 | − | 0.947947i | 0.0667524 | − | 0.0385395i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −7.15640 | + | 12.3952i | −0.290469 | + | 0.503107i | −0.973921 | − | 0.226889i | \(-0.927145\pi\) |
0.683452 | + | 0.729996i | \(0.260478\pi\) | |||||||
\(608\) | 11.0915 | − | 28.1284i | 0.449819 | − | 1.14076i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 1.52721 | + | 2.47315i | 0.0618349 | + | 0.100135i | ||||
\(611\) | 9.00064 | + | 5.19652i | 0.364127 | + | 0.210229i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −10.3934 | − | 18.0019i | −0.419785 | − | 0.727090i | 0.576132 | − | 0.817357i | \(-0.304561\pi\) |
−0.995918 | + | 0.0902669i | \(0.971228\pi\) | |||||||
\(614\) | −8.90934 | + | 0.263798i | −0.359552 | + | 0.0106460i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 5.19512 | + | 22.9820i | 0.209318 | + | 0.925973i | ||||
\(617\) | −10.6737 | −0.429707 | −0.214853 | − | 0.976646i | \(-0.568927\pi\) | ||||
−0.214853 | + | 0.976646i | \(0.568927\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 13.2341 | + | 22.9222i | 0.531924 | + | 0.921319i | 0.999305 | + | 0.0372635i | \(0.0118641\pi\) |
−0.467382 | + | 0.884056i | \(0.654803\pi\) | |||||||
\(620\) | −0.496665 | − | 8.37968i | −0.0199466 | − | 0.336536i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −21.2724 | − | 34.4483i | −0.852944 | − | 1.38125i | ||||
\(623\) | −9.85743 | + | 7.60489i | −0.394930 | + | 0.304684i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 5.70445 | − | 9.88040i | 0.228178 | − | 0.395216i | ||||
\(626\) | 3.68300 | + | 1.98343i | 0.147202 | + | 0.0792737i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 3.53277 | − | 2.32872i | 0.140973 | − | 0.0929262i | ||||
\(629\) | 33.2002i | 1.32378i | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 44.3235i | 1.76449i | 0.470790 | + | 0.882245i | \(0.343969\pi\) | ||||
−0.470790 | + | 0.882245i | \(0.656031\pi\) | |||||||
\(632\) | 7.60120 | + | 3.53030i | 0.302360 | + | 0.140428i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 9.71728 | − | 18.0439i | 0.385923 | − | 0.716616i | ||||
\(635\) | 3.53344 | − | 6.12009i | 0.140220 | − | 0.242868i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −16.7373 | + | 16.9132i | −0.663157 | + | 0.670127i | ||||
\(638\) | 27.4827 | − | 16.9710i | 1.08805 | − | 0.671888i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −18.7644 | − | 6.14336i | −0.741730 | − | 0.242838i | ||||
\(641\) | −15.4218 | − | 26.7113i | −0.609123 | − | 1.05503i | −0.991385 | − | 0.130979i | \(-0.958188\pi\) |
0.382262 | − | 0.924054i | \(-0.375145\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −7.23732 | −0.285412 | −0.142706 | − | 0.989765i | \(-0.545580\pi\) | ||||
−0.142706 | + | 0.989765i | \(0.545580\pi\) | |||||||
\(644\) | 32.5298 | − | 28.3193i | 1.28185 | − | 1.11594i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −0.928407 | − | 31.3554i | −0.0365277 | − | 1.23366i | ||||
\(647\) | 11.8777 | + | 20.5727i | 0.466960 | + | 0.808798i | 0.999288 | − | 0.0377401i | \(-0.0120159\pi\) |
−0.532328 | + | 0.846538i | \(0.678683\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −21.2427 | − | 12.2645i | −0.833847 | − | 0.481422i | ||||
\(650\) | −7.99376 | + | 4.93627i | −0.313541 | + | 0.193617i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −2.16922 | − | 1.08664i | −0.0849532 | − | 0.0425563i | ||||
\(653\) | 9.03318 | − | 15.6459i | 0.353495 | − | 0.612272i | −0.633364 | − | 0.773854i | \(-0.718326\pi\) |
0.986859 | + | 0.161582i | \(0.0516596\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −20.6131 | + | 11.9010i | −0.805422 | + | 0.465010i | ||||
\(656\) | −0.0206179 | − | 0.173321i | −0.000804996 | − | 0.00676704i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 7.25287 | + | 8.84686i | 0.282746 | + | 0.344886i | ||||
\(659\) | 11.2889i | 0.439752i | 0.975528 | + | 0.219876i | \(0.0705653\pi\) | ||||
−0.975528 | + | 0.219876i | \(0.929435\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −33.7023 | + | 19.4580i | −1.31087 | + | 0.756830i | −0.982240 | − | 0.187630i | \(-0.939919\pi\) |
−0.328628 | + | 0.944460i | \(0.606586\pi\) | |||||||
\(662\) | 38.7973 | + | 20.8937i | 1.50790 | + | 0.812057i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −22.0837 | + | 1.96624i | −0.857015 | + | 0.0763048i | ||||
\(665\) | 3.28531 | + | 24.4602i | 0.127399 | + | 0.948526i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −51.2039 | − | 29.5626i | −1.98262 | − | 1.14467i | ||||
\(668\) | −25.1239 | + | 1.48910i | −0.972071 | + | 0.0576149i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −21.4737 | + | 0.635819i | −0.829603 | + | 0.0245638i | ||||
\(671\) | 3.70817 | 0.143152 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 28.6507 | 1.10440 | 0.552201 | − | 0.833711i | \(-0.313788\pi\) | ||||
0.552201 | + | 0.833711i | \(0.313788\pi\) | |||||||
\(674\) | −3.75777 | + | 0.111264i | −0.144744 | + | 0.00428574i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 2.88491 | − | 0.170989i | 0.110958 | − | 0.00657650i | ||||
\(677\) | −20.0975 | − | 11.6033i | −0.772410 | − | 0.445951i | 0.0613234 | − | 0.998118i | \(-0.480468\pi\) |
−0.833734 | + | 0.552167i | \(0.813801\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 29.2331 | + | 12.0193i | 1.12186 | + | 0.461259i | ||||
\(680\) | −20.4036 | + | 1.81665i | −0.782443 | + | 0.0696653i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −9.42869 | − | 5.07768i | −0.361043 | − | 0.194434i | ||||
\(683\) | −22.0570 | + | 12.7346i | −0.843987 | + | 0.487276i | −0.858617 | − | 0.512617i | \(-0.828676\pi\) |
0.0146307 | + | 0.999893i | \(0.495343\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 7.83736i | 0.299450i | ||||||||
\(686\) | −23.8057 | + | 10.9219i | −0.908907 | + | 0.416999i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 2.54370 | + | 21.3832i | 0.0969778 | + | 0.815225i | ||||
\(689\) | −11.9895 | + | 6.92213i | −0.456763 | + | 0.263712i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −22.9300 | + | 39.7160i | −0.872299 | + | 1.51087i | −0.0126863 | + | 0.999920i | \(0.504038\pi\) |
−0.859613 | + | 0.510946i | \(0.829295\pi\) | |||||||
\(692\) | −12.9737 | − | 6.49904i | −0.493188 | − | 0.247057i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −6.57236 | + | 4.05853i | −0.249483 | + | 0.154060i | ||||
\(695\) | 17.0675 | + | 9.85393i | 0.647408 | + | 0.373781i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −0.0905415 | − | 0.156822i | −0.00342950 | − | 0.00594008i | ||||
\(698\) | 0.237105 | + | 8.00784i | 0.00897456 | + | 0.303101i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −10.1499 | + | 1.98062i | −0.383631 | + | 0.0748604i | ||||
\(701\) | −36.4203 | −1.37557 | −0.687787 | − | 0.725912i | \(-0.741418\pi\) | ||||
−0.687787 | + | 0.725912i | \(0.741418\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 21.3810 | + | 37.0329i | 0.806399 | + | 1.39672i | ||||
\(704\) | −19.2459 | + | 16.2502i | −0.725357 | + | 0.612452i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 6.23920 | − | 3.85280i | 0.234815 | − | 0.145002i | ||||
\(707\) | 5.35160 | + | 39.8443i | 0.201268 | + | 1.49850i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 15.5549 | − | 26.9419i | 0.584177 | − | 1.01182i | −0.410801 | − | 0.911725i | \(-0.634751\pi\) |
0.994977 | − | 0.100099i | \(-0.0319159\pi\) | |||||||
\(710\) | 12.5845 | − | 23.3681i | 0.472289 | − | 0.876989i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −12.0713 | − | 5.60638i | −0.452390 | − | 0.210108i | ||||
\(713\) | 19.6027i | 0.734125i | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | − | 18.6785i | − | 0.698538i | ||||||
\(716\) | 2.94737 | − | 1.94284i | 0.110148 | − | 0.0726073i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −3.42608 | − | 1.84507i | −0.127860 | − | 0.0688573i | ||||
\(719\) | 9.22256 | − | 15.9739i | 0.343943 | − | 0.595727i | −0.641218 | − | 0.767359i | \(-0.721571\pi\) |
0.985161 | + | 0.171632i | \(0.0549038\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 23.0902 | + | 29.9294i | 0.859923 | + | 1.11463i | ||||
\(722\) | −7.11068 | − | 11.5150i | −0.264632 | − | 0.428543i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 0.152187 | + | 2.56769i | 0.00565600 | + | 0.0954273i | ||||
\(725\) | 7.08834 | + | 12.2774i | 0.263254 | + | 0.455970i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −21.2825 | −0.789324 | −0.394662 | − | 0.918826i | \(-0.629138\pi\) | ||||
−0.394662 | + | 0.918826i | \(0.629138\pi\) | |||||||
\(728\) | −24.2920 | − | 7.54857i | −0.900320 | − | 0.279769i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −41.2668 | + | 1.22187i | −1.52735 | + | 0.0452236i | ||||
\(731\) | 11.1704 | + | 19.3477i | 0.413152 | + | 0.715601i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 18.0418 | + | 10.4164i | 0.666388 | + | 0.384740i | 0.794707 | − | 0.606993i | \(-0.207625\pi\) |
−0.128318 | + | 0.991733i | \(0.540958\pi\) | |||||||
\(734\) | −23.3830 | − | 37.8663i | −0.863084 | − | 1.39767i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 42.8934 | + | 16.9135i | 1.58107 | + | 0.623441i | ||||
\(737\) | −13.7034 | + | 23.7350i | −0.504771 | + | 0.874290i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 2.80080 | − | 1.61704i | 0.103029 | − | 0.0594839i | −0.447600 | − | 0.894234i | \(-0.647721\pi\) |
0.550629 | + | 0.834750i | \(0.314388\pi\) | |||||||
\(740\) | 23.3144 | − | 15.3683i | 0.857053 | − | 0.564950i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −15.0364 | + | 2.47464i | −0.552005 | + | 0.0908469i | ||||
\(743\) | 26.3203i | 0.965597i | 0.875732 | + | 0.482798i | \(0.160380\pi\) | ||||
−0.875732 | + | 0.482798i | \(0.839620\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −27.8575 | + | 16.0835i | −1.02062 | + | 0.589255i | ||||
\(746\) | 1.53732 | − | 2.85464i | 0.0562854 | − | 0.104516i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −11.7044 | + | 23.3649i | −0.427954 | + | 0.854306i | ||||
\(749\) | 27.2414 | − | 21.0164i | 0.995378 | − | 0.767923i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −16.6938 | − | 9.63819i | −0.609166 | − | 0.351702i | 0.163473 | − | 0.986548i | \(-0.447730\pi\) |
−0.772639 | + | 0.634845i | \(0.781064\pi\) | |||||||
\(752\) | −4.82097 | + | 11.2394i | −0.175803 | + | 0.409860i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 1.03207 | + | 34.8566i | 0.0375859 | + | 1.26940i | ||||
\(755\) | 5.08903 | 0.185209 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −2.35122 | −0.0854567 | −0.0427283 | − | 0.999087i | \(-0.513605\pi\) | ||||
−0.0427283 | + | 0.999087i | \(0.513605\pi\) | |||||||
\(758\) | 0.304518 | + | 10.2846i | 0.0110606 | + | 0.373554i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −21.5892 | + | 15.1663i | −0.783121 | + | 0.550140i | ||||
\(761\) | −14.0951 | − | 8.13782i | −0.510948 | − | 0.294996i | 0.222275 | − | 0.974984i | \(-0.428652\pi\) |
−0.733223 | + | 0.679988i | \(0.761985\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 23.7474 | − | 3.18958i | 0.859715 | − | 0.115470i | ||||
\(764\) | 5.54798 | + | 2.77919i | 0.200719 | + | 0.100548i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −8.60984 | + | 15.9875i | −0.311086 | + | 0.577653i | ||||
\(767\) | 22.9339 | − | 13.2409i | 0.828095 | − | 0.478101i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 27.1545i | 0.979216i | 0.871943 | + | 0.489608i | \(0.162860\pi\) | ||||
−0.871943 | + | 0.489608i | \(0.837140\pi\) | |||||||
\(770\) | 7.25206 | − | 19.2385i | 0.261346 | − | 0.693306i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 21.1886 | + | 32.1441i | 0.762596 | + | 1.15689i | ||||
\(773\) | −7.84184 | + | 4.52749i | −0.282051 | + | 0.162842i | −0.634352 | − | 0.773045i | \(-0.718733\pi\) |
0.352300 | + | 0.935887i | \(0.385400\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 2.35010 | − | 4.07050i | 0.0844182 | − | 0.146217i | ||||
\(776\) | 2.99665 | + | 33.6567i | 0.107573 | + | 1.20821i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 20.9341 | + | 33.9004i | 0.750522 | + | 1.21539i | ||||
\(779\) | −0.201988 | − | 0.116618i | −0.00723696 | − | 0.00417826i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −16.9298 | − | 29.3233i | −0.605796 | − | 1.04927i | ||||
\(782\) | 47.8143 | − | 1.41574i | 1.70983 | − | 0.0506267i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −22.0894 | − | 17.2064i | −0.788907 | − | 0.614513i | ||||
\(785\) | −3.69215 | −0.131778 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −7.86884 | − | 13.6292i | −0.280494 | − | 0.485830i | 0.691013 | − | 0.722843i | \(-0.257165\pi\) |
−0.971506 | + | 0.237013i | \(0.923832\pi\) | |||||||
\(788\) | 32.2964 | − | 1.91421i | 1.15051 | − | 0.0681910i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −3.84244 | − | 6.22242i | −0.136708 | − | 0.221384i | ||||
\(791\) | −12.3690 | + | 30.0836i | −0.439791 | + | 1.06965i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −2.00169 | + | 3.46704i | −0.0710823 | + | 0.123118i | ||||
\(794\) | −36.7987 | − | 19.8174i | −1.30594 | − | 0.703292i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 6.67508 | + | 10.1264i | 0.236592 | + | 0.358920i | ||||
\(797\) | 51.7070i | 1.83156i | 0.401684 | + | 0.915778i | \(0.368425\pi\) | ||||
−0.401684 | + | 0.915778i | \(0.631575\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 12.6880i | 0.448869i | ||||||||
\(800\) | −6.87911 | − | 8.65445i | −0.243213 | − | 0.305981i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −8.58902 | + | 15.9489i | −0.303289 | + | 0.563174i | ||||
\(803\) | −26.3343 | + | 45.6123i | −0.929316 | + | 1.60962i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −37.2997 | + | 5.00981i | −1.31464 | + | 0.176573i | ||||
\(806\) | 9.83717 | − | 6.07460i | 0.346499 | − | 0.213969i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −35.1675 | + | 24.7051i | −1.23719 | + | 0.869123i | ||||
\(809\) | −3.30849 | − | 5.73047i | −0.116320 | − | 0.201473i | 0.801986 | − | 0.597342i | \(-0.203777\pi\) |
−0.918307 | + | 0.395870i | \(0.870443\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −17.9160 | −0.629117 | −0.314558 | − | 0.949238i | \(-0.601856\pi\) | ||||
−0.314558 | + | 0.949238i | \(0.601856\pi\) | |||||||
\(812\) | −12.4703 | + | 36.3022i | −0.437622 | + | 1.27396i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −1.05432 | − | 35.6079i | −0.0369538 | − | 1.24806i | ||||
\(815\) | 1.05853 | + | 1.83343i | 0.0370786 | + | 0.0642221i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 24.9199 | + | 14.3875i | 0.871837 | + | 0.503355i | ||||
\(818\) | 35.0344 | − | 21.6343i | 1.22495 | − | 0.756425i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −0.0682149 | + | 0.136174i | −0.00238217 | + | 0.00475541i | ||||
\(821\) | 4.57063 | − | 7.91656i | 0.159516 | − | 0.276290i | −0.775178 | − | 0.631743i | \(-0.782340\pi\) |
0.934694 | + | 0.355453i | \(0.115673\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −19.2435 | + | 11.1103i | −0.670787 | + | 0.387279i | −0.796375 | − | 0.604803i | \(-0.793252\pi\) |
0.125588 | + | 0.992083i | \(0.459918\pi\) | |||||||
\(824\) | −17.0222 | + | 36.6511i | −0.592998 | + | 1.27680i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 28.7622 | − | 4.73358i | 1.00077 | − | 0.164702i | ||||
\(827\) | − | 5.08679i | − | 0.176885i | −0.996081 | − | 0.0884425i | \(-0.971811\pi\) | ||
0.996081 | − | 0.0884425i | \(-0.0281890\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 36.4476 | − | 21.0430i | 1.26588 | − | 0.730855i | 0.291673 | − | 0.956518i | \(-0.405788\pi\) |
0.974205 | + | 0.225663i | \(0.0724548\pi\) | |||||||
\(830\) | 17.0333 | + | 9.17305i | 0.591236 | + | 0.318401i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −4.80441 | − | 26.7664i | −0.166563 | − | 0.927957i | ||||
\(833\) | −28.0983 | − | 7.37169i | −0.973547 | − | 0.255414i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 19.0191 | + | 10.9807i | 0.658182 | + | 0.380002i | ||||
\(836\) | 1.99147 | + | 33.5999i | 0.0688765 | + | 1.16208i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 50.1726 | − | 1.48557i | 1.73318 | − | 0.0513180i | ||||
\(839\) | −13.2905 | −0.458838 | −0.229419 | − | 0.973328i | \(-0.573683\pi\) | ||||
−0.229419 | + | 0.973328i | \(0.573683\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 23.6200 | 0.814483 | ||||||||
\(842\) | −51.5503 | + | 1.52636i | −1.77654 | + | 0.0526018i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 0.491912 | + | 8.29947i | 0.0169323 | + | 0.285680i | ||||
\(845\) | −2.18391 | − | 1.26088i | −0.0751288 | − | 0.0433756i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 1.75568 | + | 2.27570i | 0.0603258 | + | 0.0781941i | ||||
\(848\) | −9.75495 | − | 13.0473i | −0.334987 | − | 0.448048i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −10.0984 | − | 5.43833i | −0.346371 | − | 0.186533i | ||||
\(851\) | −56.4719 | + | 32.6041i | −1.93583 | + | 1.11765i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | − | 4.72501i | − | 0.161781i | −0.996723 | − | 0.0808905i | \(-0.974224\pi\) | ||
0.996723 | − | 0.0808905i | \(-0.0257764\pi\) | |||||||
\(854\) | −3.40780 | + | 2.79380i | −0.116612 | + | 0.0956017i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 33.3594 | + | 15.4934i | 1.14020 | + | 0.529555i | ||||
\(857\) | −1.37578 | + | 0.794304i | −0.0469956 | + | 0.0271329i | −0.523314 | − | 0.852140i | \(-0.675304\pi\) |
0.476318 | + | 0.879273i | \(0.341971\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 5.30022 | − | 9.18026i | 0.180841 | − | 0.313226i | −0.761326 | − | 0.648369i | \(-0.775451\pi\) |
0.942167 | + | 0.335143i | \(0.108785\pi\) | |||||||
\(860\) | 8.41590 | − | 16.8003i | 0.286980 | − | 0.572884i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 29.8837 | − | 18.4536i | 1.01784 | − | 0.628534i | ||||
\(863\) | −33.6848 | − | 19.4479i | −1.14664 | − | 0.662015i | −0.198576 | − | 0.980085i | \(-0.563632\pi\) |
−0.948067 | + | 0.318070i | \(0.896965\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 6.33089 | + | 10.9654i | 0.215257 | + | 0.372835i | ||||
\(866\) | −0.726200 | − | 24.5262i | −0.0246773 | − | 0.833435i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 12.4906 | − | 2.43736i | 0.423957 | − | 0.0827294i | ||||
\(869\) | −9.32971 | −0.316489 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −14.7944 | − | 25.6246i | −0.501289 | − | 0.868258i | ||||
\(872\) | 14.7244 | + | 20.9600i | 0.498630 | + | 0.709796i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 52.4224 | − | 32.3716i | 1.77321 | − | 1.09499i | ||||
\(875\) | 29.6982 | + | 12.2105i | 1.00398 | + | 0.412791i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −19.3555 | + | 33.5247i | −0.653589 | + | 1.13205i | 0.328656 | + | 0.944450i | \(0.393404\pi\) |
−0.982245 | + | 0.187600i | \(0.939929\pi\) | |||||||
\(878\) | −9.04117 | + | 16.7885i | −0.305125 | + | 0.566583i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 21.8256 | − | 2.59634i | 0.735741 | − | 0.0875225i | ||||
\(881\) | 7.38217i | 0.248712i | 0.992238 | + | 0.124356i | \(0.0396864\pi\) | ||||
−0.992238 | + | 0.124356i | \(0.960314\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | − | 44.5978i | − | 1.50084i | −0.660963 | − | 0.750418i | \(-0.729852\pi\) | ||
0.660963 | − | 0.750418i | \(-0.270148\pi\) | |||||||
\(884\) | −15.5275 | − | 23.5558i | −0.522245 | − | 0.792268i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −35.8962 | − | 19.3314i | −1.20596 | − | 0.649451i | ||||
\(887\) | 6.05823 | − | 10.4932i | 0.203415 | − | 0.352326i | −0.746211 | − | 0.665709i | \(-0.768129\pi\) |
0.949627 | + | 0.313383i | \(0.101462\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 9.90875 | + | 4.07403i | 0.332329 | + | 0.136639i | ||||
\(890\) | 6.10208 | + | 9.88165i | 0.204542 | + | 0.331234i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −1.72450 | + | 0.102212i | −0.0577407 | + | 0.00342230i | ||||
\(893\) | 8.17109 | + | 14.1528i | 0.273435 | + | 0.473604i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −3.08033 | −0.102964 | ||||||||
\(896\) | 5.44379 | − | 29.4341i | 0.181864 | − | 0.983324i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 6.72516 | − | 0.199126i | 0.224422 | − | 0.00664493i | ||||
\(899\) | −8.72295 | − | 15.1086i | −0.290927 | − | 0.503900i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −14.6369 | − | 8.45065i | −0.487627 | − | 0.281532i | ||||
\(902\) | 0.102088 | + | 0.165320i | 0.00339915 | + | 0.00550456i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −34.6359 | + | 3.08383i | −1.15197 | + | 0.102567i | ||||
\(905\) | 1.12224 | − | 1.94377i | 0.0373044 | − | 0.0646131i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 18.9570 | − | 10.9448i | 0.629458 | − | 0.363418i | −0.151084 | − | 0.988521i | \(-0.548276\pi\) |
0.780542 | + | 0.625103i | \(0.214943\pi\) | |||||||
\(908\) | −6.18177 | − | 9.37801i | −0.205149 | − | 0.311220i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 14.0727 | + | 17.1655i | 0.466507 | + | 0.569032i | ||||
\(911\) | 8.74240i | 0.289649i | 0.989457 | + | 0.144824i | \(0.0462617\pi\) | ||||
−0.989457 | + | 0.144824i | \(0.953738\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 21.3742 | − | 12.3404i | 0.707382 | − | 0.408407i | ||||
\(914\) | 4.70537 | − | 8.73736i | 0.155640 | − | 0.289006i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −51.0327 | − | 25.5642i | −1.68617 | − | 0.844665i | ||||
\(917\) | −22.0416 | − | 28.5703i | −0.727879 | − | 0.943474i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −35.4621 | − | 20.4740i | −1.16979 | − | 0.675376i | −0.216156 | − | 0.976359i | \(-0.569352\pi\) |
−0.953630 | + | 0.300982i | \(0.902685\pi\) | |||||||
\(920\) | −23.1273 | − | 32.9215i | −0.762485 | − | 1.08539i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −0.381799 | − | 12.8946i | −0.0125739 | − | 0.424662i | ||||
\(923\) | 36.5553 | 1.20323 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 15.6352 | 0.514083 | ||||||||
\(926\) | 0.164206 | + | 5.54581i | 0.00539616 | + | 0.182246i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −40.5860 | + | 6.05107i | −1.33230 | + | 0.198636i | ||||
\(929\) | 38.8035 | + | 22.4032i | 1.27310 | + | 0.735026i | 0.975571 | − | 0.219686i | \(-0.0705033\pi\) |
0.297532 | + | 0.954712i | \(0.403837\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −36.0894 | + | 9.87262i | −1.18278 | + | 0.323562i | ||||
\(932\) | 19.2247 | − | 38.3774i | 0.629725 | − | 1.25709i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −20.7017 | + | 38.4408i | −0.677381 | + | 1.25782i | ||||
\(935\) | 19.7480 | − | 11.4015i | 0.645830 | − | 0.372870i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | − | 5.99648i | − | 0.195896i | −0.995192 | − | 0.0979482i | \(-0.968772\pi\) | ||
0.995192 | − | 0.0979482i | \(-0.0312279\pi\) | |||||||
\(938\) | −5.28895 | − | 32.1368i | −0.172690 | − | 1.04930i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 8.90997 | − | 5.87325i | 0.290611 | − | 0.191564i | ||||
\(941\) | −1.79932 | + | 1.03884i | −0.0586560 | + | 0.0338651i | −0.529041 | − | 0.848596i | \(-0.677448\pi\) |
0.470385 | + | 0.882461i | \(0.344115\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 0.177832 | − | 0.308014i | 0.00579100 | − | 0.0100303i | ||||
\(944\) | 18.6596 | + | 24.9574i | 0.607319 | + | 0.812295i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −12.5949 | − | 20.3961i | −0.409496 | − | 0.663134i | ||||
\(947\) | 49.0666 | + | 28.3286i | 1.59445 | + | 0.920557i | 0.992530 | + | 0.122002i | \(0.0389315\pi\) |
0.601922 | + | 0.798555i | \(0.294402\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −28.4309 | − | 49.2437i | −0.922905 | − | 1.59852i | ||||
\(950\) | −14.7665 | + | 0.437222i | −0.479087 | + | 0.0141853i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −6.84723 | − | 30.2906i | −0.221920 | − | 0.981724i | ||||
\(953\) | −23.0343 | −0.746154 | −0.373077 | − | 0.927800i | \(-0.621697\pi\) | ||||
−0.373077 | + | 0.927800i | \(0.621697\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −2.70728 | − | 4.68915i | −0.0876057 | − | 0.151737i | ||||
\(956\) | −2.64445 | − | 44.6169i | −0.0855277 | − | 1.44301i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 30.0831 | + | 48.7164i | 0.971942 | + | 1.57395i | ||||
\(959\) | −11.7759 | + | 1.58166i | −0.380265 | + | 0.0510744i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 12.6080 | − | 21.8376i | 0.406708 | − | 0.704439i | ||||
\(962\) | 33.8616 | + | 18.2356i | 1.09174 | + | 0.587941i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 36.5064 | − | 24.0642i | 1.17579 | − | 0.775055i | ||||
\(965\) | − | 33.5942i | − | 1.08144i | ||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 11.5096i | 0.370125i | 0.982727 | + | 0.185062i | \(0.0592487\pi\) | ||||
−0.982727 | + | 0.185062i | \(0.940751\pi\) | |||||||
\(968\) | −1.29430 | + | 2.78679i | −0.0416003 | + | 0.0895708i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 13.9802 | − | 25.9597i | 0.448877 | − | 0.833515i | ||||
\(971\) | 3.02418 | − | 5.23804i | 0.0970507 | − | 0.168097i | −0.813412 | − | 0.581688i | \(-0.802392\pi\) |
0.910463 | + | 0.413591i | \(0.135726\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −11.3615 | + | 27.6332i | −0.364234 | + | 0.885880i | ||||
\(974\) | −25.3805 | + | 15.6729i | −0.813244 | + | 0.502191i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −4.32942 | − | 1.85703i | −0.138581 | − | 0.0594421i | ||||
\(977\) | −21.5504 | − | 37.3264i | −0.689459 | − | 1.19418i | −0.972013 | − | 0.234926i | \(-0.924515\pi\) |
0.282554 | − | 0.959251i | \(-0.408818\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 14.8162 | 0.473529 | ||||||||
\(980\) | 7.82996 | + | 23.1439i | 0.250119 | + | 0.739306i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −0.394555 | − | 13.3255i | −0.0125908 | − | 0.425233i | ||||
\(983\) | 19.4666 | + | 33.7172i | 0.620889 | + | 1.07541i | 0.989321 | + | 0.145756i | \(0.0465614\pi\) |
−0.368432 | + | 0.929655i | \(0.620105\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −24.4488 | − | 14.1155i | −0.779002 | − | 0.449757i | ||||
\(986\) | −36.2225 | + | 22.3679i | −1.15356 | + | 0.712340i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −32.4900 | − | 16.2755i | −1.03364 | − | 0.517792i | ||||
\(989\) | −21.9397 | + | 38.0007i | −0.697641 | + | 1.20835i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 36.3252 | − | 20.9724i | 1.15391 | − | 0.666209i | 0.204072 | − | 0.978956i | \(-0.434582\pi\) |
0.949837 | + | 0.312747i | \(0.101249\pi\) | |||||||
\(992\) | 8.46547 | + | 10.6502i | 0.268779 | + | 0.338145i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 37.6511 | + | 14.1928i | 1.19422 | + | 0.450170i | ||||
\(995\) | − | 10.5832i | − | 0.335511i | ||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 9.81396 | − | 5.66609i | 0.310811 | − | 0.179447i | −0.336478 | − | 0.941691i | \(-0.609236\pi\) |
0.647289 | + | 0.762244i | \(0.275903\pi\) | |||||||
\(998\) | 9.25953 | + | 4.98658i | 0.293105 | + | 0.157847i | ||||
\(999\) | 0 | 0 |
(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.bf.d.271.16 | yes | 32 | |
3.2 | odd | 2 | inner | 756.2.bf.d.271.1 | yes | 32 | |
4.3 | odd | 2 | 756.2.bf.a.271.7 | ✓ | 32 | ||
7.3 | odd | 6 | 756.2.bf.a.703.7 | yes | 32 | ||
12.11 | even | 2 | 756.2.bf.a.271.10 | yes | 32 | ||
21.17 | even | 6 | 756.2.bf.a.703.10 | yes | 32 | ||
28.3 | even | 6 | inner | 756.2.bf.d.703.16 | yes | 32 | |
84.59 | odd | 6 | inner | 756.2.bf.d.703.1 | yes | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
756.2.bf.a.271.7 | ✓ | 32 | 4.3 | odd | 2 | ||
756.2.bf.a.271.10 | yes | 32 | 12.11 | even | 2 | ||
756.2.bf.a.703.7 | yes | 32 | 7.3 | odd | 6 | ||
756.2.bf.a.703.10 | yes | 32 | 21.17 | even | 6 | ||
756.2.bf.d.271.1 | yes | 32 | 3.2 | odd | 2 | inner | |
756.2.bf.d.271.16 | yes | 32 | 1.1 | even | 1 | trivial | |
756.2.bf.d.703.1 | yes | 32 | 84.59 | odd | 6 | inner | |
756.2.bf.d.703.16 | yes | 32 | 28.3 | even | 6 | inner |