Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(62,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([7, 11]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.62");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.w (of order \(14\), 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: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{14})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 251.15 | ||
Character | \(\chi\) | \(=\) | 441.251 |
Dual form | 441.2.w.a.188.15 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{9}{14}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.16155 | + | 0.926303i | 0.821338 | + | 0.654995i | 0.941221 | − | 0.337793i | \(-0.109680\pi\) |
−0.119882 | + | 0.992788i | \(0.538252\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.0461133 | + | 0.202036i | 0.0230567 | + | 0.101018i | ||||
\(5\) | −2.75921 | − | 1.32877i | −1.23396 | − | 0.594242i | −0.300792 | − | 0.953690i | \(-0.597251\pi\) |
−0.933165 | + | 0.359448i | \(0.882965\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.64574 | + | 0.00862187i | −0.999995 | + | 0.00325876i | ||||
\(8\) | 1.15564 | − | 2.39971i | 0.408579 | − | 0.848424i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −1.97412 | − | 4.09929i | −0.624270 | − | 1.29631i | ||||
\(11\) | −4.38394 | − | 3.49607i | −1.32181 | − | 1.05411i | −0.994002 | − | 0.109361i | \(-0.965120\pi\) |
−0.327805 | − | 0.944745i | \(-0.606309\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.126413 | − | 0.100811i | −0.0350608 | − | 0.0279600i | 0.605803 | − | 0.795615i | \(-0.292852\pi\) |
−0.640863 | + | 0.767655i | \(0.721424\pi\) | |||||||
\(14\) | −3.08114 | − | 2.44074i | −0.823468 | − | 0.652315i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 3.93860 | − | 1.89673i | 0.984650 | − | 0.474183i | ||||
\(17\) | 0.351332 | − | 1.53929i | 0.0852105 | − | 0.373331i | −0.914286 | − | 0.405070i | \(-0.867247\pi\) |
0.999496 | + | 0.0317384i | \(0.0101043\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 5.64561i | 1.29519i | 0.761984 | + | 0.647595i | \(0.224225\pi\) | ||||
−0.761984 | + | 0.647595i | \(0.775775\pi\) | |||||||
\(20\) | 0.141222 | − | 0.618733i | 0.0315781 | − | 0.138353i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −1.85373 | − | 8.12172i | −0.395216 | − | 1.73156i | ||||
\(23\) | 4.97667 | − | 1.13589i | 1.03771 | − | 0.236850i | 0.330463 | − | 0.943819i | \(-0.392795\pi\) |
0.707245 | + | 0.706969i | \(0.249938\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 2.73018 | + | 3.42354i | 0.546036 | + | 0.684707i | ||||
\(26\) | −0.0534533 | − | 0.234194i | −0.0104831 | − | 0.0459293i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −0.123746 | − | 0.534136i | −0.0233857 | − | 0.100942i | ||||
\(29\) | −3.45359 | − | 0.788260i | −0.641316 | − | 0.146376i | −0.110518 | − | 0.993874i | \(-0.535251\pi\) |
−0.530799 | + | 0.847498i | \(0.678108\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | − | 0.856946i | − | 0.153912i | −0.997034 | − | 0.0769561i | \(-0.975480\pi\) | ||
0.997034 | − | 0.0769561i | \(-0.0245201\pi\) | |||||||
\(32\) | 1.13844 | + | 0.259840i | 0.201249 | + | 0.0459337i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 1.83393 | − | 1.46251i | 0.314517 | − | 0.250819i | ||||
\(35\) | 7.31161 | + | 3.49178i | 1.23589 | + | 0.590218i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.520922 | − | 2.28231i | 0.0856390 | − | 0.375209i | −0.913888 | − | 0.405967i | \(-0.866935\pi\) |
0.999527 | + | 0.0307578i | \(0.00979205\pi\) | |||||||
\(38\) | −5.22954 | + | 6.55764i | −0.848344 | + | 1.06379i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −6.37730 | + | 5.08572i | −1.00834 | + | 0.804123i | ||||
\(41\) | −10.3963 | − | 5.00660i | −1.62363 | − | 0.781900i | −1.00000 | 0.000182349i | \(-0.999942\pi\) | |
−0.623632 | − | 0.781718i | \(-0.714344\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 10.9288 | − | 5.26303i | 1.66662 | − | 0.802604i | 0.668352 | − | 0.743845i | \(-0.267000\pi\) |
0.998272 | − | 0.0587591i | \(-0.0187144\pi\) | |||||||
\(44\) | 0.504174 | − | 1.04693i | 0.0760071 | − | 0.157830i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 6.83282 | + | 3.29051i | 1.00745 | + | 0.485160i | ||||
\(47\) | −6.32346 | + | 7.92937i | −0.922372 | + | 1.15662i | 0.0649500 | + | 0.997889i | \(0.479311\pi\) |
−0.987322 | + | 0.158730i | \(0.949260\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 6.99985 | − | 0.0456224i | 0.999979 | − | 0.00651749i | ||||
\(50\) | 6.50558i | 0.920027i | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0.0145381 | − | 0.0301888i | 0.00201608 | − | 0.00418643i | ||||
\(53\) | 6.39600 | − | 1.45985i | 0.878558 | − | 0.200525i | 0.240626 | − | 0.970618i | \(-0.422647\pi\) |
0.637932 | + | 0.770093i | \(0.279790\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 7.45075 | + | 15.4716i | 1.00466 | + | 2.08620i | ||||
\(56\) | −3.03682 | + | 6.35895i | −0.405812 | + | 0.849751i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −3.28135 | − | 4.11468i | −0.430862 | − | 0.540284i | ||||
\(59\) | 8.14279 | − | 3.92136i | 1.06010 | − | 0.510518i | 0.179198 | − | 0.983813i | \(-0.442650\pi\) |
0.880904 | + | 0.473295i | \(0.156936\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −0.616348 | − | 0.140677i | −0.0789153 | − | 0.0180119i | 0.182881 | − | 0.983135i | \(-0.441458\pi\) |
−0.261796 | + | 0.965123i | \(0.584315\pi\) | |||||||
\(62\) | 0.793792 | − | 0.995384i | 0.100812 | − | 0.126414i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −4.36954 | − | 5.47923i | −0.546192 | − | 0.684903i | ||||
\(65\) | 0.214847 | + | 0.446134i | 0.0266484 | + | 0.0553361i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −10.8925 | −1.33073 | −0.665367 | − | 0.746516i | \(-0.731725\pi\) | ||||
−0.665367 | + | 0.746516i | \(0.731725\pi\) | |||||||
\(68\) | 0.327192 | 0.0396778 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 5.25833 | + | 10.8286i | 0.628491 | + | 1.29427i | ||||
\(71\) | 4.40071 | − | 1.00443i | 0.522268 | − | 0.119204i | 0.0467436 | − | 0.998907i | \(-0.485116\pi\) |
0.475524 | + | 0.879703i | \(0.342258\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 5.53256 | − | 4.41207i | 0.647537 | − | 0.516394i | −0.243747 | − | 0.969839i | \(-0.578377\pi\) |
0.891284 | + | 0.453445i | \(0.149805\pi\) | |||||||
\(74\) | 2.71918 | − | 2.16848i | 0.316099 | − | 0.252080i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −1.14061 | + | 0.260338i | −0.130837 | + | 0.0298628i | ||||
\(77\) | 11.6289 | + | 9.21190i | 1.32524 | + | 1.04979i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −9.69282 | −1.09053 | −0.545263 | − | 0.838265i | \(-0.683570\pi\) | ||||
−0.545263 | + | 0.838265i | \(0.683570\pi\) | |||||||
\(80\) | −13.3877 | −1.49680 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −7.43819 | − | 15.4456i | −0.821410 | − | 1.70568i | ||||
\(83\) | −4.61146 | − | 5.78259i | −0.506173 | − | 0.634721i | 0.461436 | − | 0.887173i | \(-0.347334\pi\) |
−0.967609 | + | 0.252452i | \(0.918763\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −3.01475 | + | 3.78038i | −0.326995 | + | 0.410039i | ||||
\(86\) | 17.5695 | + | 4.01012i | 1.89456 | + | 0.432422i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −13.4558 | + | 6.47997i | −1.43439 | + | 0.690767i | ||||
\(89\) | −1.71125 | − | 2.14584i | −0.181392 | − | 0.227459i | 0.682819 | − | 0.730587i | \(-0.260754\pi\) |
−0.864212 | + | 0.503129i | \(0.832182\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.335326 | + | 0.265630i | 0.0351517 | + | 0.0278456i | ||||
\(92\) | 0.458982 | + | 0.953086i | 0.0478522 | + | 0.0993660i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −14.6900 | + | 3.35290i | −1.51516 | + | 0.345825i | ||||
\(95\) | 7.50169 | − | 15.5774i | 0.769657 | − | 1.59821i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | − | 6.81046i | − | 0.691497i | −0.938327 | − | 0.345749i | \(-0.887625\pi\) | ||
0.938327 | − | 0.345749i | \(-0.112375\pi\) | |||||||
\(98\) | 8.17292 | + | 6.43099i | 0.825590 | + | 0.649628i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −0.565779 | + | 0.709464i | −0.0565779 | + | 0.0709464i | ||||
\(101\) | 0.859158 | + | 0.413749i | 0.0854894 | + | 0.0411695i | 0.476140 | − | 0.879370i | \(-0.342036\pi\) |
−0.390650 | + | 0.920539i | \(0.627750\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −6.04953 | + | 12.5620i | −0.596078 | + | 1.23777i | 0.356734 | + | 0.934206i | \(0.383890\pi\) |
−0.952812 | + | 0.303562i | \(0.901824\pi\) | |||||||
\(104\) | −0.388006 | + | 0.186854i | −0.0380471 | + | 0.0183225i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 8.78152 | + | 4.22896i | 0.852936 | + | 0.410753i | ||||
\(107\) | 6.41385 | − | 5.11488i | 0.620051 | − | 0.494474i | −0.262350 | − | 0.964973i | \(-0.584497\pi\) |
0.882401 | + | 0.470499i | \(0.155926\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 6.71224 | − | 8.41689i | 0.642916 | − | 0.806191i | −0.348448 | − | 0.937328i | \(-0.613291\pi\) |
0.991364 | + | 0.131137i | \(0.0418627\pi\) | |||||||
\(110\) | −5.67703 | + | 24.8727i | −0.541284 | + | 2.37152i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −10.4042 | + | 5.05221i | −0.983100 | + | 0.477389i | ||||
\(113\) | −10.4348 | + | 8.32149i | −0.981625 | + | 0.782820i | −0.976135 | − | 0.217165i | \(-0.930319\pi\) |
−0.00549020 | + | 0.999985i | \(0.501748\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −15.2410 | − | 3.47867i | −1.42123 | − | 0.324387i | ||||
\(116\) | − | 0.734099i | − | 0.0681593i | ||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 13.0906 | + | 2.98785i | 1.20509 | + | 0.275054i | ||||
\(119\) | −0.916260 | + | 4.07557i | −0.0839934 | + | 0.373607i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 4.54865 | + | 19.9290i | 0.413514 | + | 1.81172i | ||||
\(122\) | −0.585608 | − | 0.734329i | −0.0530184 | − | 0.0664830i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0.173134 | − | 0.0395166i | 0.0155479 | − | 0.00354870i | ||||
\(125\) | 0.423282 | + | 1.85452i | 0.0378595 | + | 0.165873i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −1.30691 | + | 5.72596i | −0.115970 | + | 0.508097i | 0.883261 | + | 0.468882i | \(0.155343\pi\) |
−0.999231 | + | 0.0392151i | \(0.987514\pi\) | |||||||
\(128\) | − | 12.7473i | − | 1.12672i | ||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −0.163701 | + | 0.717219i | −0.0143575 | + | 0.0629042i | ||||
\(131\) | 13.5262 | − | 6.51387i | 1.18179 | − | 0.569120i | 0.263357 | − | 0.964698i | \(-0.415170\pi\) |
0.918432 | + | 0.395579i | \(0.129456\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −0.0486757 | − | 14.9368i | −0.00422072 | − | 1.29518i | ||||
\(134\) | −12.6522 | − | 10.0898i | −1.09298 | − | 0.871625i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −3.28782 | − | 2.62195i | −0.281928 | − | 0.224830i | ||||
\(137\) | −5.11747 | − | 10.6265i | −0.437215 | − | 0.907886i | −0.996862 | − | 0.0791550i | \(-0.974778\pi\) |
0.559648 | − | 0.828731i | \(-0.310936\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 7.48155 | − | 15.5356i | 0.634577 | − | 1.31771i | −0.297246 | − | 0.954801i | \(-0.596068\pi\) |
0.931823 | − | 0.362912i | \(-0.118217\pi\) | |||||||
\(140\) | −0.368301 | + | 1.63822i | −0.0311271 | + | 0.138455i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 6.04204 | + | 2.90969i | 0.507037 | + | 0.244176i | ||||
\(143\) | 0.201745 | + | 0.883902i | 0.0168707 | + | 0.0739156i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 8.48178 | + | 6.76400i | 0.704374 | + | 0.561719i | ||||
\(146\) | 10.5133 | 0.870083 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0.485129 | 0.0398773 | ||||||||
\(149\) | 7.35855 | + | 5.86825i | 0.602836 | + | 0.480746i | 0.876710 | − | 0.481020i | \(-0.159734\pi\) |
−0.273874 | + | 0.961766i | \(0.588305\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 1.36982 | + | 6.00156i | 0.111474 | + | 0.488400i | 0.999586 | + | 0.0287726i | \(0.00915988\pi\) |
−0.888112 | + | 0.459627i | \(0.847983\pi\) | |||||||
\(152\) | 13.5478 | + | 6.52427i | 1.09887 | + | 0.529188i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 4.97450 | + | 21.4719i | 0.400857 | + | 1.73026i | ||||
\(155\) | −1.13868 | + | 2.36450i | −0.0914611 | + | 0.189921i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −8.06690 | − | 16.7511i | −0.643808 | − | 1.33688i | −0.926000 | − | 0.377524i | \(-0.876776\pi\) |
0.282191 | − | 0.959358i | \(-0.408939\pi\) | |||||||
\(158\) | −11.2587 | − | 8.97849i | −0.895692 | − | 0.714290i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −2.79592 | − | 2.22967i | −0.221037 | − | 0.176271i | ||||
\(161\) | −13.1572 | + | 3.04818i | −1.03693 | + | 0.240230i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −6.64838 | + | 3.20169i | −0.520742 | + | 0.250776i | −0.675742 | − | 0.737139i | \(-0.736177\pi\) |
0.155000 | + | 0.987914i | \(0.450462\pi\) | |||||||
\(164\) | 0.532104 | − | 2.33130i | 0.0415503 | − | 0.182044i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | − | 10.9884i | − | 0.852862i | ||||||
\(167\) | −2.94816 | + | 12.9167i | −0.228136 | + | 0.999528i | 0.723023 | + | 0.690824i | \(0.242752\pi\) |
−0.951158 | + | 0.308703i | \(0.900105\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −2.88695 | − | 12.6486i | −0.222073 | − | 0.972967i | ||||
\(170\) | −7.00355 | + | 1.59851i | −0.537148 | + | 0.122600i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 1.56728 | + | 1.96531i | 0.119504 | + | 0.149853i | ||||
\(173\) | −0.268273 | − | 1.17538i | −0.0203964 | − | 0.0893625i | 0.963705 | − | 0.266968i | \(-0.0860219\pi\) |
−0.984102 | + | 0.177606i | \(0.943165\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −7.25285 | − | 9.03424i | −0.548264 | − | 0.682924i | ||||
\(176\) | −23.8977 | − | 5.45449i | −1.80136 | − | 0.411148i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | − | 4.07763i | − | 0.305632i | ||||||
\(179\) | 17.1681 | + | 3.91850i | 1.28320 | + | 0.292882i | 0.809143 | − | 0.587612i | \(-0.199932\pi\) |
0.474057 | + | 0.880494i | \(0.342789\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −1.88800 | + | 1.50563i | −0.140334 | + | 0.111913i | −0.691141 | − | 0.722720i | \(-0.742892\pi\) |
0.550807 | + | 0.834633i | \(0.314320\pi\) | |||||||
\(182\) | 0.143443 | + | 0.619156i | 0.0106327 | + | 0.0458949i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 3.02542 | − | 13.2552i | 0.223037 | − | 0.977188i | ||||
\(185\) | −4.46998 | + | 5.60518i | −0.328640 | + | 0.412101i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −6.92167 | + | 5.51985i | −0.506163 | + | 0.403651i | ||||
\(188\) | −1.89361 | − | 0.911916i | −0.138106 | − | 0.0665083i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 23.1430 | − | 11.1451i | 1.67897 | − | 0.808549i | ||||
\(191\) | −3.51849 | + | 7.30622i | −0.254589 | + | 0.528659i | −0.988616 | − | 0.150461i | \(-0.951924\pi\) |
0.734027 | + | 0.679120i | \(0.237639\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 0.856581 | + | 0.412508i | 0.0616580 | + | 0.0296930i | 0.464459 | − | 0.885595i | \(-0.346249\pi\) |
−0.402801 | + | 0.915288i | \(0.631963\pi\) | |||||||
\(194\) | 6.30855 | − | 7.91067i | 0.452928 | − | 0.567953i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0.332004 | + | 1.41212i | 0.0237146 | + | 0.100865i | ||||
\(197\) | − | 14.5833i | − | 1.03902i | −0.854465 | − | 0.519509i | \(-0.826115\pi\) | ||
0.854465 | − | 0.519509i | \(-0.173885\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −1.27445 | + | 2.64642i | −0.0903433 | + | 0.187600i | −0.941244 | − | 0.337726i | \(-0.890342\pi\) |
0.850901 | + | 0.525326i | \(0.176057\pi\) | |||||||
\(200\) | 11.3706 | − | 2.59526i | 0.804021 | − | 0.183513i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 0.614696 | + | 1.27643i | 0.0432499 | + | 0.0898093i | ||||
\(203\) | 9.14410 | + | 2.05575i | 0.641790 | + | 0.144286i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 22.0330 | + | 27.6286i | 1.53885 | + | 1.92966i | ||||
\(206\) | −18.6630 | + | 8.98763i | −1.30031 | + | 0.626198i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −0.689104 | − | 0.157283i | −0.0477808 | − | 0.0109056i | ||||
\(209\) | 19.7375 | − | 24.7500i | 1.36527 | − | 1.71199i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 7.50330 | + | 9.40884i | 0.516548 | + | 0.647731i | 0.969872 | − | 0.243615i | \(-0.0783332\pi\) |
−0.453324 | + | 0.891346i | \(0.649762\pi\) | |||||||
\(212\) | 0.589882 | + | 1.22490i | 0.0405132 | + | 0.0841266i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 12.1879 | 0.833150 | ||||||||
\(215\) | −37.1482 | −2.53348 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0.00738848 | + | 2.26726i | 0.000501563 | + | 0.153911i | ||||
\(218\) | 15.5932 | − | 3.55904i | 1.05610 | − | 0.241049i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −2.78224 | + | 2.21877i | −0.187579 | + | 0.149589i | ||||
\(221\) | −0.199590 | + | 0.159168i | −0.0134259 | + | 0.0107068i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 28.5534 | − | 6.51713i | 1.91208 | − | 0.436420i | 0.912450 | − | 0.409188i | \(-0.134188\pi\) |
0.999629 | − | 0.0272313i | \(-0.00866905\pi\) | |||||||
\(224\) | −3.01424 | − | 0.677654i | −0.201397 | − | 0.0452777i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −19.8288 | −1.31899 | ||||||||
\(227\) | −0.395985 | −0.0262824 | −0.0131412 | − | 0.999914i | \(-0.504183\pi\) | ||||
−0.0131412 | + | 0.999914i | \(0.504183\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −9.94649 | − | 20.6541i | −0.657282 | − | 1.36486i | −0.916887 | − | 0.399146i | \(-0.869307\pi\) |
0.259605 | − | 0.965715i | \(-0.416408\pi\) | |||||||
\(230\) | −14.4809 | − | 18.1585i | −0.954841 | − | 1.19733i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −5.88270 | + | 7.37667i | −0.386218 | + | 0.484302i | ||||
\(233\) | 5.08467 | + | 1.16054i | 0.333108 | + | 0.0760297i | 0.385804 | − | 0.922581i | \(-0.373924\pi\) |
−0.0526958 | + | 0.998611i | \(0.516781\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 27.9841 | − | 13.4764i | 1.82548 | − | 0.879104i | ||||
\(236\) | 1.16775 | + | 1.46431i | 0.0760138 | + | 0.0953183i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −4.83950 | + | 3.88524i | −0.313698 | + | 0.251843i | ||||
\(239\) | 2.07368 | + | 4.30604i | 0.134135 | + | 0.278535i | 0.957208 | − | 0.289401i | \(-0.0934563\pi\) |
−0.823072 | + | 0.567936i | \(0.807742\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 21.2200 | − | 4.84332i | 1.36690 | − | 0.311986i | 0.524762 | − | 0.851249i | \(-0.324154\pi\) |
0.842137 | + | 0.539264i | \(0.181297\pi\) | |||||||
\(242\) | −13.1768 | + | 27.3619i | −0.847035 | + | 1.75889i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | − | 0.131011i | − | 0.00838714i | ||||||
\(245\) | −19.3747 | − | 9.17528i | −1.23780 | − | 0.586187i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0.569141 | − | 0.713680i | 0.0362136 | − | 0.0454104i | ||||
\(248\) | −2.05642 | − | 0.990319i | −0.130583 | − | 0.0628853i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −1.22619 | + | 2.54620i | −0.0775509 | + | 0.161036i | ||||
\(251\) | −13.1197 | + | 6.31813i | −0.828110 | + | 0.398797i | −0.799406 | − | 0.600791i | \(-0.794852\pi\) |
−0.0287041 | + | 0.999588i | \(0.509138\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −25.7886 | − | 12.4191i | −1.62132 | − | 0.780784i | ||||
\(254\) | −6.82202 | + | 5.44038i | −0.428051 | + | 0.341360i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 3.06882 | − | 3.84817i | 0.191801 | − | 0.240511i | ||||
\(257\) | −2.56465 | + | 11.2365i | −0.159978 | + | 0.700911i | 0.829772 | + | 0.558103i | \(0.188470\pi\) |
−0.989750 | + | 0.142809i | \(0.954387\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −1.35854 | + | 6.04287i | −0.0844158 | + | 0.375486i | ||||
\(260\) | −0.0802276 | + | 0.0639794i | −0.00497551 | + | 0.00396783i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 21.7451 | + | 4.96319i | 1.34342 | + | 0.306627i | ||||
\(263\) | − | 0.202684i | − | 0.0124980i | −0.999980 | − | 0.00624902i | \(-0.998011\pi\) | ||
0.999980 | − | 0.00624902i | \(-0.00198914\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −19.5877 | − | 4.47077i | −1.20326 | − | 0.274637i | ||||
\(266\) | 13.7795 | − | 17.3949i | 0.844873 | − | 1.06655i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −0.502291 | − | 2.20068i | −0.0306823 | − | 0.134428i | ||||
\(269\) | −10.0208 | − | 12.5657i | −0.610978 | − | 0.766143i | 0.376066 | − | 0.926593i | \(-0.377277\pi\) |
−0.987044 | + | 0.160451i | \(0.948705\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 10.5944 | − | 2.41809i | 0.643562 | − | 0.146889i | 0.111730 | − | 0.993739i | \(-0.464361\pi\) |
0.531832 | + | 0.846850i | \(0.321504\pi\) | |||||||
\(272\) | −1.53585 | − | 6.72901i | −0.0931248 | − | 0.408006i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 3.89921 | − | 17.0835i | 0.235560 | − | 1.03205i | ||||
\(275\) | − | 24.5535i | − | 1.48063i | ||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 1.59759 | − | 6.99950i | 0.0959899 | − | 0.420559i | −0.903986 | − | 0.427563i | \(-0.859372\pi\) |
0.999975 | + | 0.00700363i | \(0.00222934\pi\) | |||||||
\(278\) | 23.0809 | − | 11.1152i | 1.38430 | − | 0.666643i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 16.8288 | − | 13.5105i | 1.00571 | − | 0.807405i | ||||
\(281\) | 4.28527 | + | 3.41739i | 0.255638 | + | 0.203864i | 0.742920 | − | 0.669380i | \(-0.233440\pi\) |
−0.487282 | + | 0.873245i | \(0.662012\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 13.3207 | + | 10.6229i | 0.791834 | + | 0.631467i | 0.933553 | − | 0.358440i | \(-0.116691\pi\) |
−0.141718 | + | 0.989907i | \(0.545263\pi\) | |||||||
\(284\) | 0.405862 | + | 0.842782i | 0.0240835 | + | 0.0500099i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −0.584425 | + | 1.21357i | −0.0345578 | + | 0.0717599i | ||||
\(287\) | 27.5491 | + | 13.1565i | 1.62617 | + | 0.776605i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 13.0705 | + | 6.29442i | 0.768853 | + | 0.370260i | ||||
\(290\) | 3.58648 | + | 15.7134i | 0.210606 | + | 0.922723i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 1.14652 | + | 0.914320i | 0.0670950 | + | 0.0535065i | ||||
\(293\) | −26.8491 | −1.56854 | −0.784270 | − | 0.620420i | \(-0.786962\pi\) | ||||
−0.784270 | + | 0.620420i | \(0.786962\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −27.6783 | −1.61149 | ||||||||
\(296\) | −4.87487 | − | 3.88758i | −0.283346 | − | 0.225961i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 3.11153 | + | 13.6325i | 0.180246 | + | 0.789710i | ||||
\(299\) | −0.743629 | − | 0.358113i | −0.0430052 | − | 0.0207102i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −28.8693 | + | 14.0188i | −1.66400 | + | 0.808031i | ||||
\(302\) | −3.96816 | + | 8.23996i | −0.228342 | + | 0.474157i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 10.7082 | + | 22.2358i | 0.614157 | + | 1.27531i | ||||
\(305\) | 1.51371 | + | 1.20714i | 0.0866746 | + | 0.0691207i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −19.9681 | − | 15.9241i | −1.13964 | − | 0.908834i | −0.142920 | − | 0.989734i | \(-0.545649\pi\) |
−0.996722 | + | 0.0809003i | \(0.974220\pi\) | |||||||
\(308\) | −1.32488 | + | 2.77424i | −0.0754923 | + | 0.158077i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −3.51287 | + | 1.69171i | −0.199518 | + | 0.0960827i | ||||
\(311\) | −4.68552 | + | 20.5286i | −0.265691 | + | 1.16407i | 0.649280 | + | 0.760550i | \(0.275071\pi\) |
−0.914971 | + | 0.403520i | \(0.867787\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | − | 24.0859i | − | 1.36142i | −0.732555 | − | 0.680708i | \(-0.761672\pi\) | ||
0.732555 | − | 0.680708i | \(-0.238328\pi\) | |||||||
\(314\) | 6.14650 | − | 26.9296i | 0.346867 | − | 1.51972i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −0.446968 | − | 1.95829i | −0.0251439 | − | 0.110163i | ||||
\(317\) | −17.9501 | + | 4.09700i | −1.00818 | + | 0.230110i | −0.694557 | − | 0.719438i | \(-0.744400\pi\) |
−0.313622 | + | 0.949548i | \(0.601542\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 12.3845 | + | 15.5297i | 0.693401 | + | 0.869497i | ||||
\(320\) | 4.77587 | + | 20.9244i | 0.266979 | + | 1.16971i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −18.1062 | − | 8.64693i | −1.00902 | − | 0.481874i | ||||
\(323\) | 8.69020 | + | 1.98348i | 0.483535 | + | 0.110364i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | − | 0.708014i | − | 0.0392735i | ||||||
\(326\) | −10.6882 | − | 2.43950i | −0.591962 | − | 0.135111i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −24.0287 | + | 19.1623i | −1.32677 | + | 1.05806i | ||||
\(329\) | 16.6619 | − | 21.0336i | 0.918598 | − | 1.15962i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 3.71516 | − | 16.2772i | 0.204203 | − | 0.894674i | −0.764140 | − | 0.645051i | \(-0.776836\pi\) |
0.968343 | − | 0.249623i | \(-0.0803067\pi\) | |||||||
\(332\) | 0.955639 | − | 1.19833i | 0.0524475 | − | 0.0657671i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −15.3893 | + | 12.2725i | −0.842063 | + | 0.671523i | ||||
\(335\) | 30.0548 | + | 14.4736i | 1.64207 | + | 0.790778i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −30.9969 | + | 14.9273i | −1.68851 | + | 0.813144i | −0.692749 | + | 0.721179i | \(0.743601\pi\) |
−0.995762 | + | 0.0919653i | \(0.970685\pi\) | |||||||
\(338\) | 8.36308 | − | 17.3661i | 0.454892 | − | 0.944592i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −0.902791 | − | 0.434761i | −0.0489607 | − | 0.0235782i | ||||
\(341\) | −2.99595 | + | 3.75680i | −0.162240 | + | 0.203442i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −18.5194 | + | 0.181057i | −0.999952 | + | 0.00977615i | ||||
\(344\) | − | 32.3080i | − | 1.74193i | ||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0.777147 | − | 1.61376i | 0.0417797 | − | 0.0867564i | ||||
\(347\) | 12.3329 | − | 2.81490i | 0.662064 | − | 0.151112i | 0.121731 | − | 0.992563i | \(-0.461155\pi\) |
0.540333 | + | 0.841451i | \(0.318298\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −1.27642 | − | 2.65052i | −0.0683254 | − | 0.141879i | 0.864009 | − | 0.503476i | \(-0.167946\pi\) |
−0.932334 | + | 0.361597i | \(0.882232\pi\) | |||||||
\(350\) | −0.0560903 | − | 17.2120i | −0.00299815 | − | 0.920022i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −4.08241 | − | 5.11918i | −0.217593 | − | 0.272853i | ||||
\(353\) | 18.8308 | − | 9.06845i | 1.00226 | − | 0.482665i | 0.140557 | − | 0.990073i | \(-0.455111\pi\) |
0.861706 | + | 0.507408i | \(0.169396\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −13.4771 | − | 3.07607i | −0.715292 | − | 0.163261i | ||||
\(356\) | 0.354625 | − | 0.444686i | 0.0187951 | − | 0.0235683i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 16.3118 | + | 20.4543i | 0.862105 | + | 1.08105i | ||||
\(359\) | 11.4770 | + | 23.8322i | 0.605732 | + | 1.25781i | 0.948017 | + | 0.318219i | \(0.103085\pi\) |
−0.342286 | + | 0.939596i | \(0.611201\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −12.8729 | −0.677519 | ||||||||
\(362\) | −3.58768 | −0.188564 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −0.0382038 | + | 0.0799969i | −0.00200242 | + | 0.00419298i | ||||
\(365\) | −21.1281 | + | 4.82236i | −1.10590 | + | 0.252414i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 4.39923 | − | 3.50827i | 0.229638 | − | 0.183130i | −0.501911 | − | 0.864919i | \(-0.667369\pi\) |
0.731548 | + | 0.681789i | \(0.238798\pi\) | |||||||
\(368\) | 17.4466 | − | 13.9132i | 0.909469 | − | 0.725278i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −10.3842 | + | 2.37013i | −0.539849 | + | 0.123217i | ||||
\(371\) | −16.9095 | + | 3.91751i | −0.877900 | + | 0.203387i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −16.4267 | −0.850540 | −0.425270 | − | 0.905067i | \(-0.639821\pi\) | ||||
−0.425270 | + | 0.905067i | \(0.639821\pi\) | |||||||
\(374\) | −13.1529 | −0.680121 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 11.7205 | + | 24.3379i | 0.604440 | + | 1.25513i | ||||
\(377\) | 0.357115 | + | 0.447808i | 0.0183924 | + | 0.0230633i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 9.13137 | − | 11.4504i | 0.469047 | − | 0.588166i | −0.489891 | − | 0.871784i | \(-0.662963\pi\) |
0.958937 | + | 0.283618i | \(0.0915347\pi\) | |||||||
\(380\) | 3.49312 | + | 0.797282i | 0.179193 | + | 0.0408997i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −10.8547 | + | 5.22733i | −0.555373 | + | 0.267454i | ||||
\(383\) | −10.1270 | − | 12.6989i | −0.517466 | − | 0.648881i | 0.452603 | − | 0.891712i | \(-0.350495\pi\) |
−0.970069 | + | 0.242831i | \(0.921924\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −19.8461 | − | 40.8697i | −1.01145 | − | 2.08291i | ||||
\(386\) | 0.612852 | + | 1.27260i | 0.0311934 | + | 0.0647737i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 1.37596 | − | 0.314053i | 0.0698535 | − | 0.0159436i | ||||
\(389\) | −2.22663 | + | 4.62365i | −0.112895 | + | 0.234429i | −0.949759 | − | 0.312982i | \(-0.898672\pi\) |
0.836864 | + | 0.547410i | \(0.184386\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | − | 8.05959i | − | 0.407591i | ||||||
\(392\) | 7.97981 | − | 16.8503i | 0.403041 | − | 0.851069i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 13.5086 | − | 16.9392i | 0.680553 | − | 0.853386i | ||||
\(395\) | 26.7445 | + | 12.8795i | 1.34566 | + | 0.648037i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 2.39913 | − | 4.98184i | 0.120409 | − | 0.250031i | −0.832049 | − | 0.554702i | \(-0.812832\pi\) |
0.952458 | + | 0.304671i | \(0.0985465\pi\) | |||||||
\(398\) | −3.93172 | + | 1.89342i | −0.197079 | + | 0.0949085i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 17.2466 | + | 8.30553i | 0.862331 | + | 0.415277i | ||||
\(401\) | −16.6316 | + | 13.2632i | −0.830541 | + | 0.662335i | −0.943539 | − | 0.331261i | \(-0.892526\pi\) |
0.112998 | + | 0.993595i | \(0.463955\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −0.0863899 | + | 0.108330i | −0.00430339 | + | 0.00539628i | ||||
\(404\) | −0.0439734 | + | 0.192660i | −0.00218776 | + | 0.00958519i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 8.71706 | + | 10.8581i | 0.432620 | + | 0.538877i | ||||
\(407\) | −10.2628 | + | 8.18431i | −0.508708 | + | 0.405681i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 16.8749 | + | 3.85158i | 0.834408 | + | 0.190448i | 0.618321 | − | 0.785926i | \(-0.287813\pi\) |
0.216087 | + | 0.976374i | \(0.430670\pi\) | |||||||
\(410\) | 52.5012i | 2.59285i | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −2.81693 | − | 0.642946i | −0.138780 | − | 0.0316757i | ||||
\(413\) | −21.5099 | + | 10.4451i | −1.05843 | + | 0.513970i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 5.04028 | + | 22.0829i | 0.247418 | + | 1.08401i | ||||
\(416\) | −0.117719 | − | 0.147614i | −0.00577163 | − | 0.00723740i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 45.8520 | − | 10.4654i | 2.24269 | − | 0.511880i | ||||
\(419\) | 5.31551 | + | 23.2888i | 0.259679 | + | 1.13773i | 0.921595 | + | 0.388152i | \(0.126886\pi\) |
−0.661916 | + | 0.749578i | \(0.730256\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −7.28529 | + | 31.9189i | −0.355063 | + | 1.55563i | 0.410248 | + | 0.911974i | \(0.365442\pi\) |
−0.765312 | + | 0.643660i | \(0.777415\pi\) | |||||||
\(422\) | 17.8791i | 0.870343i | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 3.88826 | − | 17.0356i | 0.188830 | − | 0.827320i | ||||
\(425\) | 6.22900 | − | 2.99973i | 0.302151 | − | 0.145508i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 1.63191 | + | 0.366881i | 0.0789735 | + | 0.0177546i | ||||
\(428\) | 1.32915 | + | 1.05996i | 0.0642470 | + | 0.0512353i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −43.1494 | − | 34.4105i | −2.08085 | − | 1.65942i | ||||
\(431\) | 5.17869 | + | 10.7537i | 0.249449 | + | 0.517986i | 0.987666 | − | 0.156578i | \(-0.0500461\pi\) |
−0.738217 | + | 0.674564i | \(0.764332\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −2.55898 | + | 5.31377i | −0.122977 | + | 0.255364i | −0.953364 | − | 0.301823i | \(-0.902405\pi\) |
0.830387 | + | 0.557186i | \(0.188119\pi\) | |||||||
\(434\) | −2.09158 | + | 2.64037i | −0.100399 | + | 0.126742i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 2.01003 | + | 0.967982i | 0.0962632 | + | 0.0463579i | ||||
\(437\) | 6.41280 | + | 28.0963i | 0.306766 | + | 1.34403i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 30.0294 | + | 23.9476i | 1.43322 | + | 1.14296i | 0.965914 | + | 0.258864i | \(0.0833481\pi\) |
0.467310 | + | 0.884094i | \(0.345223\pi\) | |||||||
\(440\) | 45.7377 | 2.18046 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −0.379272 | −0.0180401 | ||||||||
\(443\) | 20.7453 | + | 16.5438i | 0.985640 | + | 0.786022i | 0.976847 | − | 0.213940i | \(-0.0686295\pi\) |
0.00879328 | + | 0.999961i | \(0.497201\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 1.87038 | + | 8.19468i | 0.0886646 | + | 0.388465i | ||||
\(446\) | 39.2030 | + | 18.8792i | 1.85632 | + | 0.893955i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 11.6079 | + | 14.4589i | 0.548421 | + | 0.683120i | ||||
\(449\) | 4.72913 | − | 9.82014i | 0.223181 | − | 0.463441i | −0.759070 | − | 0.651009i | \(-0.774346\pi\) |
0.982252 | + | 0.187568i | \(0.0600604\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 28.0734 | + | 58.2950i | 1.32192 | + | 2.74500i | ||||
\(452\) | −2.16242 | − | 1.72447i | −0.101712 | − | 0.0811124i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −0.459955 | − | 0.366802i | −0.0215868 | − | 0.0172149i | ||||
\(455\) | −0.572274 | − | 1.17850i | −0.0268286 | − | 0.0552489i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −5.20275 | + | 2.50551i | −0.243374 | + | 0.117203i | −0.551595 | − | 0.834112i | \(-0.685981\pi\) |
0.308221 | + | 0.951315i | \(0.400266\pi\) | |||||||
\(458\) | 7.57864 | − | 33.2042i | 0.354126 | − | 1.55153i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | − | 3.23964i | − | 0.151049i | ||||||
\(461\) | 0.522508 | − | 2.28926i | 0.0243356 | − | 0.106621i | −0.961301 | − | 0.275499i | \(-0.911157\pi\) |
0.985637 | + | 0.168877i | \(0.0540142\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 4.73786 | + | 20.7579i | 0.220187 | + | 0.964702i | 0.957337 | + | 0.288973i | \(0.0933139\pi\) |
−0.737150 | + | 0.675729i | \(0.763829\pi\) | |||||||
\(464\) | −15.0975 | + | 3.44589i | −0.700882 | + | 0.159972i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 4.83107 | + | 6.05797i | 0.223795 | + | 0.280630i | ||||
\(467\) | −5.44149 | − | 23.8407i | −0.251802 | − | 1.10322i | −0.929774 | − | 0.368130i | \(-0.879998\pi\) |
0.677972 | − | 0.735087i | \(-0.262859\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 28.8188 | − | 0.0939140i | 1.33073 | − | 0.00433655i | ||||
\(470\) | 44.9881 | + | 10.2682i | 2.07515 | + | 0.473638i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | − | 24.0720i | − | 1.10800i | ||||||
\(473\) | −66.3111 | − | 15.1351i | −3.04899 | − | 0.695911i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −19.3279 | + | 15.4135i | −0.886826 | + | 0.707221i | ||||
\(476\) | −0.865663 | + | 0.00282100i | −0.0396776 | + | 0.000129301i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −1.58002 | + | 6.92253i | −0.0722686 | + | 0.316629i | ||||
\(479\) | −13.9399 | + | 17.4801i | −0.636930 | + | 0.798685i | −0.990615 | − | 0.136680i | \(-0.956357\pi\) |
0.353686 | + | 0.935364i | \(0.384928\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −0.295934 | + | 0.235999i | −0.0134934 | + | 0.0107606i | ||||
\(482\) | 29.1344 | + | 14.0304i | 1.32704 | + | 0.639067i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −3.81661 | + | 1.83798i | −0.173482 | + | 0.0835446i | ||||
\(485\) | −9.04951 | + | 18.7915i | −0.410917 | + | 0.853278i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −35.9295 | − | 17.3027i | −1.62812 | − | 0.784062i | −0.999982 | − | 0.00596062i | \(-0.998103\pi\) |
−0.628139 | − | 0.778101i | \(-0.716183\pi\) | |||||||
\(488\) | −1.04986 | + | 1.31648i | −0.0475249 | + | 0.0595943i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −14.0055 | − | 28.6044i | −0.632705 | − | 1.29221i | ||||
\(491\) | 0.0942791i | 0.00425476i | 0.999998 | + | 0.00212738i | \(0.000677166\pi\) | ||||
−0.999998 | + | 0.00212738i | \(0.999323\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −2.42672 | + | 5.03913i | −0.109294 | + | 0.226951i | ||||
\(494\) | 1.32217 | − | 0.301776i | 0.0594872 | − | 0.0135776i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −1.62540 | − | 3.37517i | −0.0729825 | − | 0.151550i | ||||
\(497\) | −11.6345 | + | 2.69541i | −0.521876 | + | 0.120905i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 6.29351 | + | 7.89181i | 0.281736 | + | 0.353286i | 0.902483 | − | 0.430725i | \(-0.141742\pi\) |
−0.620747 | + | 0.784011i | \(0.713171\pi\) | |||||||
\(500\) | −0.355161 | + | 0.171036i | −0.0158833 | + | 0.00764898i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −21.0917 | − | 4.81404i | −0.941369 | − | 0.214861i | ||||
\(503\) | −18.8923 | + | 23.6903i | −0.842368 | + | 1.05630i | 0.155288 | + | 0.987869i | \(0.450369\pi\) |
−0.997656 | + | 0.0684268i | \(0.978202\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −1.82082 | − | 2.28324i | −0.0810256 | − | 0.101603i | ||||
\(506\) | −18.4508 | − | 38.3135i | −0.820238 | − | 1.70324i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −1.21711 | −0.0540007 | ||||||||
\(509\) | 19.1471 | 0.848679 | 0.424340 | − | 0.905503i | \(-0.360506\pi\) | ||||
0.424340 | + | 0.905503i | \(0.360506\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −14.5997 | + | 11.7209i | −0.645851 | + | 0.518501i | ||||
\(512\) | −17.7263 | + | 4.04591i | −0.783399 | + | 0.178806i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −13.3873 | + | 10.6760i | −0.590490 | + | 0.470900i | ||||
\(515\) | 33.3838 | − | 26.6227i | 1.47107 | − | 1.17314i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 55.4434 | − | 12.6546i | 2.43840 | − | 0.556548i | ||||
\(518\) | −7.17555 | + | 5.76066i | −0.315276 | + | 0.253109i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 1.31887 | 0.0578365 | ||||||||
\(521\) | 6.27022 | 0.274703 | 0.137352 | − | 0.990522i | \(-0.456141\pi\) | ||||
0.137352 | + | 0.990522i | \(0.456141\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −12.3641 | − | 25.6744i | −0.540645 | − | 1.12266i | −0.975059 | − | 0.221948i | \(-0.928759\pi\) |
0.434413 | − | 0.900714i | \(-0.356956\pi\) | |||||||
\(524\) | 1.93977 | + | 2.43240i | 0.0847393 | + | 0.106260i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0.187747 | − | 0.235428i | 0.00818617 | − | 0.0102651i | ||||
\(527\) | −1.31908 | − | 0.301073i | −0.0574602 | − | 0.0131149i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 2.75473 | − | 1.32661i | 0.119771 | − | 0.0576787i | ||||
\(530\) | −18.6108 | − | 23.3372i | −0.808400 | − | 1.01370i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 3.01552 | − | 0.698619i | 0.130739 | − | 0.0302890i | ||||
\(533\) | 0.809512 | + | 1.68097i | 0.0350639 | + | 0.0728108i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −24.4937 | + | 5.59052i | −1.05895 | + | 0.241699i | ||||
\(536\) | −12.5878 | + | 26.1389i | −0.543711 | + | 1.12903i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | − | 23.8779i | − | 1.02945i | ||||||
\(539\) | −30.8464 | − | 24.2720i | −1.32865 | − | 1.04547i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −5.53360 | + | 6.93892i | −0.237908 | + | 0.298327i | −0.886424 | − | 0.462873i | \(-0.846818\pi\) |
0.648516 | + | 0.761201i | \(0.275390\pi\) | |||||||
\(542\) | 14.5457 | + | 7.00486i | 0.624793 | + | 0.300885i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0.799937 | − | 1.66109i | 0.0342970 | − | 0.0712185i | ||||
\(545\) | −29.7046 | + | 14.3050i | −1.27240 | + | 0.612757i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −6.39834 | − | 3.08128i | −0.273573 | − | 0.131746i | 0.292067 | − | 0.956398i | \(-0.405657\pi\) |
−0.565641 | + | 0.824652i | \(0.691371\pi\) | |||||||
\(548\) | 1.91095 | − | 1.52394i | 0.0816319 | − | 0.0650993i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 22.7440 | − | 28.5200i | 0.969807 | − | 1.21610i | ||||
\(551\) | 4.45021 | − | 19.4976i | 0.189585 | − | 0.830627i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 25.6446 | − | 0.0835702i | 1.09052 | − | 0.00355377i | ||||
\(554\) | 8.33934 | − | 6.65040i | 0.354305 | − | 0.282549i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 3.48375 | + | 0.795142i | 0.147744 | + | 0.0337215i | ||||
\(557\) | 8.93590i | 0.378626i | 0.981917 | + | 0.189313i | \(0.0606261\pi\) | ||||
−0.981917 | + | 0.189313i | \(0.939374\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −1.91212 | − | 0.436428i | −0.0808740 | − | 0.0184590i | ||||
\(560\) | 35.4205 | − | 0.115427i | 1.49679 | − | 0.00487770i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 1.81201 | + | 7.93892i | 0.0764349 | + | 0.334883i | ||||
\(563\) | −14.6444 | − | 18.3635i | −0.617189 | − | 0.773930i | 0.370757 | − | 0.928730i | \(-0.379098\pi\) |
−0.987946 | + | 0.154800i | \(0.950527\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 39.8492 | − | 9.09532i | 1.67647 | − | 0.382643i | ||||
\(566\) | 5.63260 | + | 24.6780i | 0.236756 | + | 1.03730i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 2.67528 | − | 11.7212i | 0.112252 | − | 0.491809i | ||||
\(569\) | − | 22.9316i | − | 0.961342i | −0.876901 | − | 0.480671i | \(-0.840393\pi\) | ||
0.876901 | − | 0.480671i | \(-0.159607\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 3.34250 | − | 14.6444i | 0.139879 | − | 0.612851i | −0.855581 | − | 0.517669i | \(-0.826800\pi\) |
0.995460 | − | 0.0951815i | \(-0.0303431\pi\) | |||||||
\(572\) | −0.169277 | + | 0.0815193i | −0.00707781 | + | 0.00340849i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 19.8127 | + | 40.8008i | 0.826964 | + | 1.70299i | ||||
\(575\) | 17.4760 | + | 13.9366i | 0.728799 | + | 0.581198i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 5.54341 | + | 4.42072i | 0.230775 | + | 0.184037i | 0.732050 | − | 0.681251i | \(-0.238564\pi\) |
−0.501274 | + | 0.865288i | \(0.667135\pi\) | |||||||
\(578\) | 9.35147 | + | 19.4185i | 0.388970 | + | 0.807704i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −0.975445 | + | 2.02553i | −0.0405032 | + | 0.0841057i | ||||
\(581\) | 12.2506 | + | 15.2594i | 0.508239 | + | 0.633068i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −33.1434 | − | 15.9610i | −1.37266 | − | 0.661038i | ||||
\(584\) | −4.19404 | − | 18.3753i | −0.173550 | − | 0.760374i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −31.1865 | − | 24.8704i | −1.28830 | − | 1.02739i | ||||
\(587\) | −16.8193 | −0.694206 | −0.347103 | − | 0.937827i | \(-0.612835\pi\) | ||||
−0.347103 | + | 0.937827i | \(0.612835\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 4.83798 | 0.199346 | ||||||||
\(590\) | −32.1496 | − | 25.6385i | −1.32358 | − | 1.05552i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −2.27722 | − | 9.97714i | −0.0935931 | − | 0.410058i | ||||
\(593\) | 9.27765 | + | 4.46788i | 0.380987 | + | 0.183474i | 0.614568 | − | 0.788864i | \(-0.289330\pi\) |
−0.233581 | + | 0.972337i | \(0.575044\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 7.94364 | − | 10.0279i | 0.325657 | − | 0.411103i | ||||
\(596\) | −0.846268 | + | 1.75729i | −0.0346645 | + | 0.0719816i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −0.532040 | − | 1.10479i | −0.0217567 | − | 0.0451783i | ||||
\(599\) | −17.7390 | − | 14.1464i | −0.724798 | − | 0.578007i | 0.190065 | − | 0.981771i | \(-0.439130\pi\) |
−0.914863 | + | 0.403765i | \(0.867701\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −7.17003 | − | 5.71790i | −0.292471 | − | 0.233238i | 0.466251 | − | 0.884653i | \(-0.345604\pi\) |
−0.758722 | + | 0.651414i | \(0.774176\pi\) | |||||||
\(602\) | −46.5188 | − | 10.4582i | −1.89596 | − | 0.426246i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −1.14936 | + | 0.553504i | −0.0467669 | + | 0.0225217i | ||||
\(605\) | 13.9302 | − | 61.0323i | 0.566344 | − | 2.48132i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 26.9406i | 1.09348i | 0.837301 | + | 0.546742i | \(0.184132\pi\) | ||||
−0.837301 | + | 0.546742i | \(0.815868\pi\) | |||||||
\(608\) | −1.46696 | + | 6.42716i | −0.0594929 | + | 0.260656i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0.640064 | + | 2.80430i | 0.0259154 | + | 0.113543i | ||||
\(611\) | 1.59874 | − | 0.364902i | 0.0646782 | − | 0.0147624i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 2.23951 | + | 2.80826i | 0.0904532 | + | 0.113425i | 0.824998 | − | 0.565135i | \(-0.191176\pi\) |
−0.734545 | + | 0.678560i | \(0.762604\pi\) | |||||||
\(614\) | −8.44344 | − | 36.9931i | −0.340749 | − | 1.49292i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 35.5446 | − | 17.2603i | 1.43213 | − | 0.695438i | ||||
\(617\) | 14.0559 | + | 3.20816i | 0.565868 | + | 0.129156i | 0.495878 | − | 0.868392i | \(-0.334846\pi\) |
0.0699898 | + | 0.997548i | \(0.477703\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | − | 0.980947i | − | 0.0394276i | −0.999806 | − | 0.0197138i | \(-0.993725\pi\) | ||
0.999806 | − | 0.0197138i | \(-0.00627550\pi\) | |||||||
\(620\) | −0.530221 | − | 0.121019i | −0.0212942 | − | 0.00486026i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −24.4582 | + | 19.5047i | −0.980683 | + | 0.782069i | ||||
\(623\) | 4.54602 | + | 5.66258i | 0.182133 | + | 0.226866i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 6.16825 | − | 27.0249i | 0.246730 | − | 1.08099i | ||||
\(626\) | 22.3109 | − | 27.9769i | 0.891721 | − | 1.11818i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 3.01232 | − | 2.40225i | 0.120205 | − | 0.0958602i | ||||
\(629\) | −3.33010 | − | 1.60369i | −0.132780 | − | 0.0639434i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −13.1070 | + | 6.31199i | −0.521781 | + | 0.251276i | −0.676186 | − | 0.736731i | \(-0.736368\pi\) |
0.154405 | + | 0.988008i | \(0.450654\pi\) | |||||||
\(632\) | −11.2014 | + | 23.2599i | −0.445567 | + | 0.925229i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −24.6450 | − | 11.8684i | −0.978777 | − | 0.471354i | ||||
\(635\) | 11.2145 | − | 14.0625i | 0.445034 | − | 0.558055i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −0.889474 | − | 0.699897i | −0.0352423 | − | 0.0277309i | ||||
\(638\) | 29.5103i | 1.16833i | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −16.9382 | + | 35.1726i | −0.669542 | + | 1.39032i | ||||
\(641\) | 15.3622 | − | 3.50631i | 0.606769 | − | 0.138491i | 0.0919120 | − | 0.995767i | \(-0.470702\pi\) |
0.514857 | + | 0.857276i | \(0.327845\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 7.33780 | + | 15.2371i | 0.289375 | + | 0.600892i | 0.994085 | − | 0.108602i | \(-0.0346375\pi\) |
−0.704711 | + | 0.709495i | \(0.748923\pi\) | |||||||
\(644\) | −1.22256 | − | 2.51766i | −0.0481757 | − | 0.0992096i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 8.25677 | + | 10.3537i | 0.324858 | + | 0.407360i | ||||
\(647\) | 29.3155 | − | 14.1176i | 1.15251 | − | 0.555020i | 0.242724 | − | 0.970096i | \(-0.421959\pi\) |
0.909787 | + | 0.415076i | \(0.136245\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −49.4069 | − | 11.2768i | −1.93939 | − | 0.442653i | ||||
\(650\) | 0.655836 | − | 0.822392i | 0.0257240 | − | 0.0322569i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −0.953435 | − | 1.19557i | −0.0373394 | − | 0.0468221i | ||||
\(653\) | −16.6651 | − | 34.6055i | −0.652157 | − | 1.35422i | −0.920443 | − | 0.390878i | \(-0.872171\pi\) |
0.268286 | − | 0.963339i | \(-0.413543\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −45.9770 | −1.79647 | ||||||||
\(656\) | −50.4431 | −1.96947 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 38.8370 | − | 8.99755i | 1.51402 | − | 0.350761i | ||||
\(659\) | 14.1684 | − | 3.23384i | 0.551922 | − | 0.125973i | 0.0625406 | − | 0.998042i | \(-0.480080\pi\) |
0.489381 | + | 0.872070i | \(0.337223\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 28.9366 | − | 23.0762i | 1.12550 | − | 0.897558i | 0.129927 | − | 0.991524i | \(-0.458526\pi\) |
0.995575 | + | 0.0939653i | \(0.0299543\pi\) | |||||||
\(662\) | 19.3929 | − | 15.4653i | 0.753727 | − | 0.601078i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −19.2057 | + | 4.38357i | −0.745325 | + | 0.170115i | ||||
\(665\) | −19.7132 | + | 41.2784i | −0.764445 | + | 1.60071i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −18.0828 | −0.700168 | ||||||||
\(668\) | −2.74559 | −0.106230 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 21.5031 | + | 44.6517i | 0.830737 | + | 1.72504i | ||||
\(671\) | 2.21021 | + | 2.77152i | 0.0853243 | + | 0.106993i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 10.8518 | − | 13.6078i | 0.418308 | − | 0.524542i | −0.527375 | − | 0.849633i | \(-0.676824\pi\) |
0.945683 | + | 0.325091i | \(0.105395\pi\) | |||||||
\(674\) | −49.8317 | − | 11.3738i | −1.91944 | − | 0.438101i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 2.42234 | − | 1.16654i | 0.0931668 | − | 0.0448668i | ||||
\(677\) | 1.30490 | + | 1.63630i | 0.0501514 | + | 0.0628879i | 0.806275 | − | 0.591541i | \(-0.201480\pi\) |
−0.756123 | + | 0.654429i | \(0.772909\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0.0587189 | + | 18.0187i | 0.00225342 | + | 0.691494i | ||||
\(680\) | 5.58783 | + | 11.6033i | 0.214284 | + | 0.444964i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −6.95988 | + | 1.58855i | −0.266507 | + | 0.0608286i | ||||
\(683\) | −1.08682 | + | 2.25680i | −0.0415860 | + | 0.0863542i | −0.920727 | − | 0.390208i | \(-0.872403\pi\) |
0.879141 | + | 0.476562i | \(0.158117\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 36.1208i | 1.38010i | ||||||||
\(686\) | −21.6789 | − | 16.9443i | −0.827702 | − | 0.646935i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 33.0616 | − | 41.4579i | 1.26046 | − | 1.58057i | ||||
\(689\) | −0.955709 | − | 0.460245i | −0.0364096 | − | 0.0175339i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 18.1168 | − | 37.6199i | 0.689195 | − | 1.43113i | −0.202863 | − | 0.979207i | \(-0.565025\pi\) |
0.892058 | − | 0.451921i | \(-0.149261\pi\) | |||||||
\(692\) | 0.225098 | − | 0.108401i | 0.00855694 | − | 0.00412080i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 16.9327 | + | 8.15435i | 0.642756 | + | 0.309535i | ||||
\(695\) | −41.2864 | + | 32.9248i | −1.56608 | + | 1.24891i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −11.3591 | + | 14.2439i | −0.430258 | + | 0.539527i | ||||
\(698\) | 0.972560 | − | 4.26107i | 0.0368120 | − | 0.161284i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 1.49079 | − | 1.88193i | 0.0563464 | − | 0.0711304i | ||||
\(701\) | 24.0216 | − | 19.1566i | 0.907282 | − | 0.723533i | −0.0541625 | − | 0.998532i | \(-0.517249\pi\) |
0.961445 | + | 0.274999i | \(0.0886775\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 12.8850 | + | 2.94092i | 0.485967 | + | 0.110919i | ||||
\(704\) | 39.2968i | 1.48105i | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 30.2730 | + | 6.90962i | 1.13934 | + | 0.260047i | ||||
\(707\) | −2.27667 | − | 1.08726i | −0.0856231 | − | 0.0408907i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −9.65247 | − | 42.2902i | −0.362506 | − | 1.58824i | −0.746811 | − | 0.665036i | \(-0.768416\pi\) |
0.384305 | − | 0.923206i | \(-0.374441\pi\) | |||||||
\(710\) | −12.8050 | − | 16.0569i | −0.480562 | − | 0.602605i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −7.12697 | + | 1.62668i | −0.267095 | + | 0.0609626i | ||||
\(713\) | −0.973400 | − | 4.26474i | −0.0364541 | − | 0.159716i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0.617842 | − | 2.70694i | 0.0231060 | − | 0.101234i | ||||
\(716\) | 3.64925i | 0.136379i | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −8.74478 | + | 38.3134i | −0.326352 | + | 1.42984i | ||||
\(719\) | 5.29463 | − | 2.54976i | 0.197457 | − | 0.0950900i | −0.332543 | − | 0.943088i | \(-0.607907\pi\) |
0.529999 | + | 0.847998i | \(0.322192\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 15.8972 | − | 33.2878i | 0.592041 | − | 1.23970i | ||||
\(722\) | −14.9524 | − | 11.9242i | −0.556472 | − | 0.443772i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −0.391254 | − | 0.312014i | −0.0145408 | − | 0.0115959i | ||||
\(725\) | −6.73029 | − | 13.9756i | −0.249957 | − | 0.519041i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 21.0355 | − | 43.6807i | 0.780163 | − | 1.62003i | −0.00441016 | − | 0.999990i | \(-0.501404\pi\) |
0.784574 | − | 0.620036i | \(-0.212882\pi\) | |||||||
\(728\) | 1.02495 | − | 0.497711i | 0.0379872 | − | 0.0184464i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −29.0083 | − | 13.9697i | −1.07364 | − | 0.517040i | ||||
\(731\) | −4.26167 | − | 18.6716i | −0.157623 | − | 0.690594i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 20.5255 | + | 16.3685i | 0.758125 | + | 0.604585i | 0.924369 | − | 0.381500i | \(-0.124592\pi\) |
−0.166244 | + | 0.986085i | \(0.553164\pi\) | |||||||
\(734\) | 8.35963 | 0.308560 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 5.96077 | 0.219717 | ||||||||
\(737\) | 47.7522 | + | 38.0811i | 1.75897 | + | 1.40273i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 5.33449 | + | 23.3719i | 0.196232 | + | 0.859751i | 0.973154 | + | 0.230154i | \(0.0739228\pi\) |
−0.776922 | + | 0.629597i | \(0.783220\pi\) | |||||||
\(740\) | −1.33857 | − | 0.644623i | −0.0492069 | − | 0.0236968i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −23.2701 | − | 11.1130i | −0.854270 | − | 0.407971i | ||||
\(743\) | 1.67693 | − | 3.48217i | 0.0615205 | − | 0.127749i | −0.867942 | − | 0.496666i | \(-0.834557\pi\) |
0.929462 | + | 0.368918i | \(0.120272\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −12.5063 | − | 25.9695i | −0.458194 | − | 0.951450i | ||||
\(746\) | −19.0803 | − | 15.2161i | −0.698581 | − | 0.557100i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −1.43439 | − | 1.14389i | −0.0524464 | − | 0.0418246i | ||||
\(749\) | −16.9253 | + | 13.5879i | −0.618436 | + | 0.496492i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 5.76201 | − | 2.77484i | 0.210259 | − | 0.101255i | −0.325791 | − | 0.945442i | \(-0.605630\pi\) |
0.536049 | + | 0.844187i | \(0.319916\pi\) | |||||||
\(752\) | −9.86572 | + | 43.2246i | −0.359766 | + | 1.57624i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 0.850948i | 0.0309897i | ||||||||
\(755\) | 4.19506 | − | 18.3797i | 0.152674 | − | 0.668907i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 0.101990 | + | 0.446847i | 0.00370689 | + | 0.0162409i | 0.976748 | − | 0.214393i | \(-0.0687772\pi\) |
−0.973041 | + | 0.230634i | \(0.925920\pi\) | |||||||
\(758\) | 21.2130 | − | 4.84174i | 0.770492 | − | 0.175860i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −28.7120 | − | 36.0037i | −1.04149 | − | 1.30599i | ||||
\(761\) | −8.93457 | − | 39.1449i | −0.323878 | − | 1.41900i | −0.830589 | − | 0.556886i | \(-0.811996\pi\) |
0.506711 | − | 0.862116i | \(-0.330861\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −17.6863 | + | 22.3267i | −0.640286 | + | 0.808282i | ||||
\(764\) | −1.63837 | − | 0.373946i | −0.0592740 | − | 0.0135289i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | − | 24.1310i | − | 0.871889i | ||||||
\(767\) | −1.42468 | − | 0.325173i | −0.0514421 | − | 0.0117413i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −2.13350 | + | 1.70141i | −0.0769358 | + | 0.0613543i | −0.661203 | − | 0.750207i | \(-0.729954\pi\) |
0.584267 | + | 0.811562i | \(0.301382\pi\) | |||||||
\(770\) | 14.8055 | − | 65.8556i | 0.533553 | − | 2.37327i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −0.0438415 | + | 0.192082i | −0.00157789 | + | 0.00691318i | ||||
\(773\) | 14.4004 | − | 18.0575i | 0.517946 | − | 0.649483i | −0.452226 | − | 0.891904i | \(-0.649370\pi\) |
0.970171 | + | 0.242420i | \(0.0779413\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 2.93379 | − | 2.33962i | 0.105385 | − | 0.0840415i | ||||
\(776\) | −16.3431 | − | 7.87042i | −0.586683 | − | 0.282532i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −6.86925 | + | 3.30806i | −0.246274 | + | 0.118600i | ||||
\(779\) | 28.2653 | − | 58.6935i | 1.01271 | − | 2.10291i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −22.8040 | − | 10.9818i | −0.815991 | − | 0.392961i | ||||
\(782\) | 7.46563 | − | 9.36160i | 0.266970 | − | 0.334770i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 27.4831 | − | 13.4565i | 0.981539 | − | 0.480590i | ||||
\(785\) | 56.9388i | 2.03223i | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −7.42263 | + | 15.4133i | −0.264588 | + | 0.549423i | −0.990361 | − | 0.138512i | \(-0.955768\pi\) |
0.725773 | + | 0.687935i | \(0.241482\pi\) | |||||||
\(788\) | 2.94635 | − | 0.672485i | 0.104959 | − | 0.0239563i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 19.1347 | + | 39.7337i | 0.680783 | + | 1.41366i | ||||
\(791\) | 27.5360 | − | 22.1064i | 0.979069 | − | 0.786015i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 0.0637328 | + | 0.0799184i | 0.00226322 | + | 0.00283798i | ||||
\(794\) | 7.40140 | − | 3.56432i | 0.262666 | − | 0.126493i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −0.593441 | − | 0.135449i | −0.0210339 | − | 0.00480086i | ||||
\(797\) | −8.00799 | + | 10.0417i | −0.283658 | + | 0.355695i | −0.903164 | − | 0.429296i | \(-0.858762\pi\) |
0.619506 | + | 0.784992i | \(0.287333\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 9.98393 | + | 12.5195i | 0.353206 | + | 0.442907i | ||||
\(800\) | 2.21856 | + | 4.60689i | 0.0784379 | + | 0.162878i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −31.6042 | −1.11598 | ||||||||
\(803\) | −39.6793 | −1.40025 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 40.3537 | + | 9.07223i | 1.42228 | + | 0.319754i | ||||
\(806\) | −0.200692 | + | 0.0458066i | −0.00706908 | + | 0.00161347i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 1.98575 | − | 1.58358i | 0.0698585 | − | 0.0557103i | ||||
\(809\) | −42.2041 | + | 33.6567i | −1.48382 | + | 1.18330i | −0.545219 | + | 0.838294i | \(0.683553\pi\) |
−0.938599 | + | 0.345011i | \(0.887875\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −13.2223 | + | 3.01790i | −0.464298 | + | 0.105973i | −0.448269 | − | 0.893899i | \(-0.647959\pi\) |
−0.0160286 | + | 0.999872i | \(0.505102\pi\) | |||||||
\(812\) | 0.00632931 | + | 1.94223i | 0.000222115 | + | 0.0681590i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −19.5019 | −0.683541 | ||||||||
\(815\) | 22.5986 | 0.791594 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 29.7130 | + | 61.6996i | 1.03953 | + | 2.15860i | ||||
\(818\) | 16.0332 | + | 20.1050i | 0.560589 | + | 0.702956i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −4.56594 | + | 5.72550i | −0.159449 | + | 0.199943i | ||||
\(821\) | 54.4258 | + | 12.4223i | 1.89947 | + | 0.433542i | 0.999994 | − | 0.00342203i | \(-0.00108927\pi\) |
0.899479 | + | 0.436964i | \(0.143946\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 22.6670 | − | 10.9159i | 0.790122 | − | 0.380503i | 0.00511310 | − | 0.999987i | \(-0.498372\pi\) |
0.785009 | + | 0.619484i | \(0.212658\pi\) | |||||||
\(824\) | 23.1540 | + | 29.0342i | 0.806607 | + | 1.01145i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −34.6601 | − | 7.79220i | −1.20598 | − | 0.271125i | ||||
\(827\) | −2.87253 | − | 5.96486i | −0.0998876 | − | 0.207419i | 0.845036 | − | 0.534709i | \(-0.179579\pi\) |
−0.944924 | + | 0.327290i | \(0.893864\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −23.7815 | + | 5.42798i | −0.825967 | + | 0.188522i | −0.614554 | − | 0.788875i | \(-0.710664\pi\) |
−0.211414 | + | 0.977397i | \(0.567807\pi\) | |||||||
\(830\) | −14.6010 | + | 30.3192i | −0.506807 | + | 1.05239i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 1.13315i | 0.0392848i | ||||||||
\(833\) | 2.38904 | − | 10.7908i | 0.0827755 | − | 0.373879i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 25.2979 | − | 31.7226i | 0.875471 | − | 1.09781i | ||||
\(836\) | 5.91054 | + | 2.84637i | 0.204420 | + | 0.0984436i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −15.3982 | + | 31.9748i | −0.531923 | + | 1.10455i | ||||
\(839\) | −18.5319 | + | 8.92451i | −0.639793 | + | 0.308108i | −0.725510 | − | 0.688211i | \(-0.758396\pi\) |
0.0857169 | + | 0.996320i | \(0.472682\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −14.8221 | − | 7.13796i | −0.511108 | − | 0.246137i | ||||
\(842\) | −38.0288 | + | 30.3270i | −1.31056 | + | 1.04514i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −1.55492 | + | 1.94981i | −0.0535225 | + | 0.0671151i | ||||
\(845\) | −8.84128 | + | 38.7362i | −0.304149 | + | 1.33257i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −12.2064 | − | 52.6876i | −0.419416 | − | 1.81037i | ||||
\(848\) | 22.4224 | − | 17.8812i | 0.769987 | − | 0.614044i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 10.0139 | + | 2.28562i | 0.343475 | + | 0.0783960i | ||||
\(851\) | − | 11.9500i | − | 0.409641i | ||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −22.8710 | − | 5.22016i | −0.783089 | − | 0.178735i | −0.187758 | − | 0.982215i | \(-0.560122\pi\) |
−0.595331 | + | 0.803480i | \(0.702979\pi\) | |||||||
\(854\) | 1.55570 | + | 1.93779i | 0.0532348 | + | 0.0663099i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −4.86211 | − | 21.3023i | −0.166184 | − | 0.728098i | ||||
\(857\) | 14.9678 | + | 18.7690i | 0.511289 | + | 0.641136i | 0.968734 | − | 0.248102i | \(-0.0798068\pi\) |
−0.457445 | + | 0.889238i | \(0.651235\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 40.5766 | − | 9.26135i | 1.38446 | − | 0.315993i | 0.535535 | − | 0.844513i | \(-0.320110\pi\) |
0.848921 | + | 0.528520i | \(0.177253\pi\) | |||||||
\(860\) | −1.71303 | − | 7.50525i | −0.0584137 | − | 0.255927i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −3.94586 | + | 17.2879i | −0.134396 | + | 0.588830i | ||||
\(863\) | 5.32102i | 0.181130i | 0.995891 | + | 0.0905649i | \(0.0288673\pi\) | ||||
−0.995891 | + | 0.0905649i | \(0.971133\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −0.821584 | + | 3.59960i | −0.0279347 | + | 0.122390i | ||||
\(866\) | −7.89454 | + | 3.80181i | −0.268267 | + | 0.129191i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −0.457726 | + | 0.106043i | −0.0155362 | + | 0.00359935i | ||||
\(869\) | 42.4927 | + | 33.8868i | 1.44147 | + | 1.14953i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 1.37696 | + | 1.09809i | 0.0466566 | + | 0.0372074i | ||||
\(872\) | −12.4411 | − | 25.8343i | −0.421310 | − | 0.874859i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −18.5769 | + | 38.5754i | −0.628375 | + | 1.30483i | ||||
\(875\) | −1.13588 | − | 4.90293i | −0.0383999 | − | 0.165749i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 36.1086 | + | 17.3890i | 1.21930 | + | 0.587184i | 0.929117 | − | 0.369787i | \(-0.120569\pi\) |
0.290184 | + | 0.956971i | \(0.406283\pi\) | |||||||
\(878\) | 12.6978 | + | 55.6326i | 0.428529 | + | 1.87751i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 58.6911 | + | 46.8046i | 1.97848 | + | 1.57778i | ||||
\(881\) | 12.4143 | 0.418250 | 0.209125 | − | 0.977889i | \(-0.432938\pi\) | ||||
0.209125 | + | 0.977889i | \(0.432938\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 50.9904 | 1.71596 | 0.857981 | − | 0.513681i | \(-0.171718\pi\) | ||||
0.857981 | + | 0.513681i | \(0.171718\pi\) | |||||||
\(884\) | −0.0413614 | − | 0.0329846i | −0.00139113 | − | 0.00110939i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 8.77207 | + | 38.4329i | 0.294703 | + | 1.29118i | ||||
\(887\) | 9.96564 | + | 4.79920i | 0.334613 | + | 0.161141i | 0.593644 | − | 0.804728i | \(-0.297689\pi\) |
−0.259031 | + | 0.965869i | \(0.583403\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 3.40838 | − | 15.1607i | 0.114313 | − | 0.508472i | ||||
\(890\) | −5.41822 | + | 11.2511i | −0.181619 | + | 0.377136i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 2.63339 | + | 5.46828i | 0.0881723 | + | 0.183092i | ||||
\(893\) | −44.7661 | − | 35.6998i | −1.49804 | − | 1.19465i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −42.1635 | − | 33.6243i | −1.40937 | − | 1.12394i | ||||
\(896\) | 0.109906 | + | 33.7261i | 0.00367170 | + | 1.12671i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 14.5895 | − | 7.02595i | 0.486859 | − | 0.234459i | ||||
\(899\) | −0.675497 | + | 2.95955i | −0.0225291 | + | 0.0987064i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | − | 10.3582i | − | 0.345080i | ||||||
\(902\) | −21.3903 | + | 93.7168i | −0.712218 | + | 3.12043i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 7.91026 | + | 34.6571i | 0.263091 | + | 1.15268i | ||||
\(905\) | 7.21004 | − | 1.64564i | 0.239670 | − | 0.0547031i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 23.5926 | + | 29.5842i | 0.783381 | + | 0.982328i | 0.999982 | + | 0.00606799i | \(0.00193151\pi\) |
−0.216601 | + | 0.976260i | \(0.569497\pi\) | |||||||
\(908\) | −0.0182602 | − | 0.0800031i | −0.000605985 | − | 0.00265500i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0.426925 | − | 1.89898i | 0.0141524 | − | 0.0629507i | ||||
\(911\) | −7.84963 | − | 1.79163i | −0.260070 | − | 0.0593593i | 0.0904978 | − | 0.995897i | \(-0.471154\pi\) |
−0.350568 | + | 0.936537i | \(0.614011\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 41.4725i | 1.37254i | ||||||||
\(914\) | −8.36410 | − | 1.90905i | −0.276660 | − | 0.0631458i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 3.71420 | − | 2.96197i | 0.122721 | − | 0.0978664i | ||||
\(917\) | −35.7306 | + | 17.3506i | −1.17993 | + | 0.572968i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 5.49391 | − | 24.0704i | 0.181227 | − | 0.794008i | −0.799820 | − | 0.600240i | \(-0.795072\pi\) |
0.981047 | − | 0.193768i | \(-0.0620711\pi\) | |||||||
\(920\) | −25.9609 | + | 32.5539i | −0.855905 | + | 1.07327i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 2.72747 | − | 2.17508i | 0.0898243 | − | 0.0716325i | ||||
\(923\) | −0.657566 | − | 0.316667i | −0.0216441 | − | 0.0104232i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 9.23577 | − | 4.44771i | 0.303670 | − | 0.146240i | ||||
\(926\) | −13.7249 | + | 28.5000i | −0.451028 | + | 0.936569i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −3.72687 | − | 1.79477i | −0.122341 | − | 0.0589161i | ||||
\(929\) | 33.0461 | − | 41.4385i | 1.08421 | − | 1.35955i | 0.155884 | − | 0.987775i | \(-0.450177\pi\) |
0.928322 | − | 0.371776i | \(-0.121251\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0.257566 | + | 39.5184i | 0.00844139 | + | 1.29516i | ||||
\(932\) | 1.08080i | 0.0354028i | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 15.7632 | − | 32.7326i | 0.515788 | − | 1.07104i | ||||
\(935\) | 26.4329 | − | 6.03315i | 0.864450 | − | 0.197305i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 18.5050 | + | 38.4261i | 0.604533 | + | 1.25533i | 0.948629 | + | 0.316391i | \(0.102471\pi\) |
−0.344096 | + | 0.938935i | \(0.611814\pi\) | |||||||
\(938\) | 33.5614 | + | 26.5858i | 1.09582 | + | 0.868058i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 4.01315 | + | 5.03234i | 0.130895 | + | 0.164137i | ||||
\(941\) | 50.9216 | − | 24.5225i | 1.66000 | − | 0.799412i | 0.661207 | − | 0.750204i | \(-0.270045\pi\) |
0.998789 | − | 0.0492076i | \(-0.0156696\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −57.4260 | − | 13.1071i | −1.87005 | − | 0.426827i | ||||
\(944\) | 24.6335 | − | 30.8894i | 0.801751 | − | 1.00536i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −63.0038 | − | 79.0043i | −2.04843 | − | 2.56865i | ||||
\(947\) | 11.9160 | + | 24.7438i | 0.387218 | + | 0.804066i | 0.999906 | + | 0.0137411i | \(0.00437408\pi\) |
−0.612688 | + | 0.790325i | \(0.709912\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −1.14418 | −0.0371416 | ||||||||
\(950\) | −36.7279 | −1.19161 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 8.72131 | + | 6.90864i | 0.282659 | + | 0.223910i | ||||
\(953\) | 37.7015 | − | 8.60512i | 1.22127 | − | 0.278747i | 0.437170 | − | 0.899379i | \(-0.355981\pi\) |
0.784102 | + | 0.620632i | \(0.213124\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 19.4165 | − | 15.4841i | 0.628303 | − | 0.501055i | ||||
\(956\) | −0.774350 | + | 0.617524i | −0.0250443 | + | 0.0199721i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −32.3837 | + | 7.39137i | −1.04627 | + | 0.238804i | ||||
\(959\) | 13.6311 | + | 28.0709i | 0.440171 | + | 0.906456i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 30.2656 | 0.976311 | ||||||||
\(962\) | −0.562348 | −0.0181308 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 1.95705 | + | 4.06385i | 0.0630322 | + | 0.130888i | ||||
\(965\) | −1.81536 | − | 2.27639i | −0.0584386 | − | 0.0732796i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −2.11785 | + | 2.65570i | −0.0681055 | + | 0.0854016i | −0.814717 | − | 0.579858i | \(-0.803108\pi\) |
0.746612 | + | 0.665260i | \(0.231679\pi\) | |||||||
\(968\) | 53.0802 | + | 12.1152i | 1.70606 | + | 0.389398i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −27.9181 | + | 13.4446i | −0.896395 | + | 0.431681i | ||||
\(971\) | −20.7106 | − | 25.9702i | −0.664634 | − | 0.833424i | 0.329205 | − | 0.944258i | \(-0.393219\pi\) |
−0.993839 | + | 0.110834i | \(0.964648\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −19.6603 | + | 41.1676i | −0.630280 | + | 1.31977i | ||||
\(974\) | −25.7062 | − | 53.3796i | −0.823681 | − | 1.71039i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −2.69438 | + | 0.614974i | −0.0862449 | + | 0.0196848i | ||||
\(977\) | 10.9659 | − | 22.7709i | 0.350830 | − | 0.728506i | −0.648639 | − | 0.761096i | \(-0.724661\pi\) |
0.999469 | + | 0.0325905i | \(0.0103757\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 15.3899i | 0.491863i | ||||||||
\(980\) | 0.960303 | − | 4.33748i | 0.0306758 | − | 0.138556i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −0.0873310 | + | 0.109510i | −0.00278685 | + | 0.00349459i | ||||
\(983\) | −11.8859 | − | 5.72393i | −0.379100 | − | 0.182565i | 0.234623 | − | 0.972086i | \(-0.424614\pi\) |
−0.613723 | + | 0.789522i | \(0.710329\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −19.3778 | + | 40.2385i | −0.617429 | + | 1.28210i | ||||
\(986\) | −7.48651 | + | 3.60531i | −0.238419 | + | 0.114816i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0.170434 | + | 0.0820766i | 0.00542222 | + | 0.00261120i | ||||
\(989\) | 48.4108 | − | 38.6063i | 1.53937 | − | 1.22761i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 22.1327 | − | 27.7536i | 0.703070 | − | 0.881622i | −0.294179 | − | 0.955750i | \(-0.595046\pi\) |
0.997249 | + | 0.0741288i | \(0.0236176\pi\) | |||||||
\(992\) | 0.222669 | − | 0.975578i | 0.00706976 | − | 0.0309746i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −16.0107 | − | 7.64619i | −0.507830 | − | 0.242522i | ||||
\(995\) | 7.03295 | − | 5.60859i | 0.222960 | − | 0.177804i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −4.60452 | − | 1.05095i | −0.145827 | − | 0.0332840i | 0.148984 | − | 0.988840i | \(-0.452400\pi\) |
−0.294811 | + | 0.955556i | \(0.595257\pi\) | |||||||
\(998\) | 14.9964i | 0.474703i | ||||||||
\(999\) | 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 | 441.2.w.a.251.15 | yes | 120 | |
3.2 | odd | 2 | inner | 441.2.w.a.251.6 | yes | 120 | |
49.41 | odd | 14 | inner | 441.2.w.a.188.6 | ✓ | 120 | |
147.41 | even | 14 | inner | 441.2.w.a.188.15 | yes | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.w.a.188.6 | ✓ | 120 | 49.41 | odd | 14 | inner | |
441.2.w.a.188.15 | yes | 120 | 147.41 | even | 14 | inner | |
441.2.w.a.251.6 | yes | 120 | 3.2 | odd | 2 | inner | |
441.2.w.a.251.15 | yes | 120 | 1.1 | even | 1 | trivial |