Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [672,2,Mod(529,672)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(672, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 3, 0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("672.529");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 672 = 2^{5} \cdot 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 672.bk (of order \(6\), degree \(2\), not 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: | \(5.36594701583\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{6})\) |
Twist minimal: | no (minimal twist has level 168) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 529.3 | ||
Character | \(\chi\) | \(=\) | 672.529 |
Dual form | 672.2.bk.a.625.3 |
$q$-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 \(\left(\mathbb{Z}/672\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(421\) | \(449\) | \(577\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −0.866025 | − | 0.500000i | −0.500000 | − | 0.288675i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −1.23074 | + | 0.710569i | −0.550405 | + | 0.317776i | −0.749285 | − | 0.662248i | \(-0.769603\pi\) |
0.198881 | + | 0.980024i | \(0.436269\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.39545 | − | 2.24783i | −0.527430 | − | 0.849598i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0.500000 | + | 0.866025i | 0.166667 | + | 0.288675i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 0.832525 | + | 0.480658i | 0.251016 | + | 0.144924i | 0.620229 | − | 0.784421i | \(-0.287040\pi\) |
−0.369214 | + | 0.929345i | \(0.620373\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 3.57192i | 0.990673i | 0.868701 | + | 0.495337i | \(0.164955\pi\) | ||||
−0.868701 | + | 0.495337i | \(0.835045\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 1.42114 | 0.366936 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 2.43064 | − | 4.21000i | 0.589518 | − | 1.02107i | −0.404778 | − | 0.914415i | \(-0.632651\pi\) |
0.994296 | − | 0.106659i | \(-0.0340154\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −6.28094 | + | 3.62630i | −1.44095 | + | 0.831931i | −0.997913 | − | 0.0645747i | \(-0.979431\pi\) |
−0.443033 | + | 0.896505i | \(0.646098\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0.0845812 | + | 2.64440i | 0.0184571 | + | 0.577055i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 2.72132 | + | 4.71346i | 0.567434 | + | 0.982824i | 0.996819 | + | 0.0797027i | \(0.0253971\pi\) |
−0.429385 | + | 0.903122i | \(0.641270\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.49018 | + | 2.58107i | −0.298037 | + | 0.516214i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | − | 1.00000i | − | 0.192450i | ||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 6.78641i | 1.26020i | 0.776512 | + | 0.630102i | \(0.216987\pi\) | ||||
−0.776512 | + | 0.630102i | \(0.783013\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −3.67285 | + | 6.36156i | −0.659663 | + | 1.14257i | 0.321040 | + | 0.947066i | \(0.395968\pi\) |
−0.980703 | + | 0.195504i | \(0.937366\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −0.480658 | − | 0.832525i | −0.0836719 | − | 0.144924i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 3.31467 | + | 1.77493i | 0.560282 | + | 0.300018i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 2.21085 | − | 1.27644i | 0.363462 | − | 0.209845i | −0.307136 | − | 0.951666i | \(-0.599371\pi\) |
0.670598 | + | 0.741821i | \(0.266037\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 1.78596 | − | 3.09338i | 0.285983 | − | 0.495337i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 2.20216 | 0.343920 | 0.171960 | − | 0.985104i | \(-0.444990\pi\) | ||||
0.171960 | + | 0.985104i | \(0.444990\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 4.45897i | 0.679986i | 0.940428 | + | 0.339993i | \(0.110425\pi\) | ||||
−0.940428 | + | 0.339993i | \(0.889575\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −1.23074 | − | 0.710569i | −0.183468 | − | 0.105925i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −0.211793 | − | 0.366836i | −0.0308932 | − | 0.0535086i | 0.850165 | − | 0.526516i | \(-0.176502\pi\) |
−0.881059 | + | 0.473007i | \(0.843169\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −3.10544 | + | 6.27345i | −0.443635 | + | 0.896208i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −4.21000 | + | 2.43064i | −0.589518 | + | 0.340358i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −8.41117 | − | 4.85619i | −1.15536 | − | 0.667049i | −0.205175 | − | 0.978725i | \(-0.565776\pi\) |
−0.950188 | + | 0.311676i | \(0.899110\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −1.36616 | −0.184214 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 7.25260 | 0.960631 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −6.43952 | − | 3.71786i | −0.838354 | − | 0.484024i | 0.0183503 | − | 0.999832i | \(-0.494159\pi\) |
−0.856704 | + | 0.515808i | \(0.827492\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1.67889 | − | 0.969306i | 0.214960 | − | 0.124107i | −0.388655 | − | 0.921384i | \(-0.627060\pi\) |
0.603614 | + | 0.797277i | \(0.293727\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 1.24895 | − | 2.33241i | 0.157353 | − | 0.293856i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −2.53810 | − | 4.39612i | −0.314812 | − | 0.545271i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 9.13752 | + | 5.27555i | 1.11633 | + | 0.644511i | 0.940460 | − | 0.339903i | \(-0.110394\pi\) |
0.175866 | + | 0.984414i | \(0.443728\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | − | 5.44264i | − | 0.655216i | ||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 8.12089 | 0.963772 | 0.481886 | − | 0.876234i | \(-0.339952\pi\) | ||||
0.481886 | + | 0.876234i | \(0.339952\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −4.99925 | + | 8.65896i | −0.585118 | + | 1.01345i | 0.409743 | + | 0.912201i | \(0.365619\pi\) |
−0.994861 | + | 0.101253i | \(0.967715\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 2.58107 | − | 1.49018i | 0.298037 | − | 0.172071i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −0.0813093 | − | 2.54211i | −0.00926606 | − | 0.289700i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −0.139607 | − | 0.241807i | −0.0157071 | − | 0.0272054i | 0.858065 | − | 0.513541i | \(-0.171667\pi\) |
−0.873772 | + | 0.486336i | \(0.838333\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −0.500000 | + | 0.866025i | −0.0555556 | + | 0.0962250i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 6.69361i | 0.734719i | 0.930079 | + | 0.367359i | \(0.119738\pi\) | ||||
−0.930079 | + | 0.367359i | \(0.880262\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 6.90856i | 0.749339i | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 3.39320 | − | 5.87720i | 0.363790 | − | 0.630102i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −1.07402 | − | 1.86026i | −0.113846 | − | 0.197187i | 0.803472 | − | 0.595343i | \(-0.202984\pi\) |
−0.917318 | + | 0.398155i | \(0.869650\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 8.02906 | − | 4.98444i | 0.841674 | − | 0.522511i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 6.36156 | − | 3.67285i | 0.659663 | − | 0.380857i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 5.15348 | − | 8.92608i | 0.528735 | − | 0.915797i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −9.44983 | −0.959485 | −0.479742 | − | 0.877409i | \(-0.659270\pi\) | ||||
−0.479742 | + | 0.877409i | \(0.659270\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0.961317i | 0.0966160i | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −3.08218 | − | 1.77950i | −0.306689 | − | 0.177067i | 0.338755 | − | 0.940875i | \(-0.389994\pi\) |
−0.645444 | + | 0.763808i | \(0.723328\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 0.618710 | + | 1.07164i | 0.0609633 | + | 0.105591i | 0.894896 | − | 0.446274i | \(-0.147249\pi\) |
−0.833933 | + | 0.551866i | \(0.813916\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −1.98313 | − | 3.19447i | −0.193533 | − | 0.311749i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 14.4424 | − | 8.33834i | 1.39620 | − | 0.806098i | 0.402210 | − | 0.915548i | \(-0.368242\pi\) |
0.993992 | + | 0.109450i | \(0.0349090\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −8.84714 | − | 5.10790i | −0.847403 | − | 0.489248i | 0.0123709 | − | 0.999923i | \(-0.496062\pi\) |
−0.859774 | + | 0.510675i | \(0.829395\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −2.55287 | −0.242308 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 12.4039 | 1.16686 | 0.583432 | − | 0.812162i | \(-0.301709\pi\) | ||||
0.583432 | + | 0.812162i | \(0.301709\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −6.69848 | − | 3.86737i | −0.624636 | − | 0.360634i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −3.09338 | + | 1.78596i | −0.285983 | + | 0.165112i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −12.8552 | + | 0.411173i | −1.17843 | + | 0.0376922i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −5.03793 | − | 8.72596i | −0.457994 | − | 0.793269i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −1.90713 | − | 1.10108i | −0.171960 | − | 0.0992812i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | − | 11.3412i | − | 1.01439i | ||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −17.3710 | −1.54142 | −0.770712 | − | 0.637184i | \(-0.780099\pi\) | ||||
−0.770712 | + | 0.637184i | \(0.780099\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 2.22948 | − | 3.86158i | 0.196295 | − | 0.339993i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −12.8469 | + | 7.41718i | −1.12244 | + | 0.648042i | −0.942023 | − | 0.335548i | \(-0.891079\pi\) |
−0.180418 | + | 0.983590i | \(0.557745\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 16.9160 | + | 9.05814i | 1.46681 | + | 0.785440i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 0.710569 | + | 1.23074i | 0.0611561 | + | 0.105925i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −6.93006 | + | 12.0032i | −0.592075 | + | 1.02550i | 0.401878 | + | 0.915693i | \(0.368358\pi\) |
−0.993953 | + | 0.109810i | \(0.964976\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | − | 20.8746i | − | 1.77056i | −0.465055 | − | 0.885282i | \(-0.653965\pi\) | ||
0.465055 | − | 0.885282i | \(-0.346035\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0.423586i | 0.0356724i | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −1.71687 | + | 2.97371i | −0.143572 | + | 0.248675i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −4.82221 | − | 8.35232i | −0.400463 | − | 0.693622i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 5.82612 | − | 3.88025i | 0.480530 | − | 0.320037i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 17.9443 | − | 10.3601i | 1.47005 | − | 0.848736i | 0.470619 | − | 0.882337i | \(-0.344031\pi\) |
0.999435 | + | 0.0336002i | \(0.0106973\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −1.23596 | + | 2.14074i | −0.100581 | + | 0.174211i | −0.911924 | − | 0.410359i | \(-0.865403\pi\) |
0.811343 | + | 0.584570i | \(0.198737\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 4.86129 | 0.393012 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | − | 10.4392i | − | 0.838501i | ||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −2.59394 | − | 1.49761i | −0.207019 | − | 0.119522i | 0.392906 | − | 0.919578i | \(-0.371470\pi\) |
−0.599925 | + | 0.800056i | \(0.704803\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 4.85619 | + | 8.41117i | 0.385121 | + | 0.667049i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 6.79758 | − | 12.6944i | 0.535724 | − | 1.00046i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 1.95349 | − | 1.12785i | 0.153009 | − | 0.0883400i | −0.421541 | − | 0.906810i | \(-0.638510\pi\) |
0.574550 | + | 0.818470i | \(0.305177\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 1.18313 | + | 0.683082i | 0.0921068 | + | 0.0531779i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 2.45671 | 0.190106 | 0.0950529 | − | 0.995472i | \(-0.469698\pi\) | ||||
0.0950529 | + | 0.995472i | \(0.469698\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 0.241366 | 0.0185666 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −6.28094 | − | 3.62630i | −0.480315 | − | 0.277310i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 7.62911 | − | 4.40467i | 0.580031 | − | 0.334881i | −0.181115 | − | 0.983462i | \(-0.557971\pi\) |
0.761146 | + | 0.648581i | \(0.224637\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 7.88128 | − | 0.252083i | 0.595768 | − | 0.0190557i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 3.71786 | + | 6.43952i | 0.279451 | + | 0.484024i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −12.0819 | − | 6.97551i | −0.903046 | − | 0.521374i | −0.0248589 | − | 0.999691i | \(-0.507914\pi\) |
−0.878187 | + | 0.478317i | \(0.841247\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | − | 15.7546i | − | 1.17103i | −0.810661 | − | 0.585515i | \(-0.800892\pi\) | ||
0.810661 | − | 0.585515i | \(-0.199108\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −1.93861 | −0.143306 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −1.81399 | + | 3.14193i | −0.133367 | + | 0.230999i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 4.04714 | − | 2.33662i | 0.295956 | − | 0.170870i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −2.24783 | + | 1.39545i | −0.163505 | + | 0.101504i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −6.21677 | − | 10.7678i | −0.449830 | − | 0.779128i | 0.548545 | − | 0.836121i | \(-0.315182\pi\) |
−0.998375 | + | 0.0569933i | \(0.981849\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 2.92875 | − | 5.07274i | 0.210816 | − | 0.365144i | −0.741154 | − | 0.671335i | \(-0.765721\pi\) |
0.951970 | + | 0.306191i | \(0.0990546\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 5.07620i | 0.363514i | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 27.5019i | 1.95943i | 0.200404 | + | 0.979713i | \(0.435774\pi\) | ||||
−0.200404 | + | 0.979713i | \(0.564226\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −11.9106 | + | 20.6297i | −0.844318 | + | 1.46240i | 0.0418939 | + | 0.999122i | \(0.486661\pi\) |
−0.886212 | + | 0.463280i | \(0.846672\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −5.27555 | − | 9.13752i | −0.372109 | − | 0.644511i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 15.2547 | − | 9.47008i | 1.07067 | − | 0.664670i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −2.71029 | + | 1.56479i | −0.189295 | + | 0.109290i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −2.72132 | + | 4.71346i | −0.189145 | + | 0.327608i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −6.97205 | −0.482267 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 26.3273i | 1.81245i | 0.422800 | + | 0.906223i | \(0.361047\pi\) | ||||
−0.422800 | + | 0.906223i | \(0.638953\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −7.03289 | − | 4.06044i | −0.481886 | − | 0.278217i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −3.16840 | − | 5.48784i | −0.216083 | − | 0.374267i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 19.4249 | − | 0.621308i | 1.31865 | − | 0.0421771i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 8.65896 | − | 4.99925i | 0.585118 | − | 0.337818i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 15.0378 | + | 8.68207i | 1.01155 | + | 0.584019i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 15.5052 | 1.03831 | 0.519153 | − | 0.854681i | \(-0.326247\pi\) | ||||
0.519153 | + | 0.854681i | \(0.326247\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −2.98037 | −0.198691 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −1.11618 | − | 0.644429i | −0.0740837 | − | 0.0427722i | 0.462501 | − | 0.886619i | \(-0.346952\pi\) |
−0.536584 | + | 0.843847i | \(0.680286\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −2.71834 | + | 1.56943i | −0.179633 | + | 0.103711i | −0.587120 | − | 0.809500i | \(-0.699738\pi\) |
0.407487 | + | 0.913211i | \(0.366405\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −1.20064 | + | 2.24218i | −0.0789961 | + | 0.147525i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 2.33320 | + | 4.04121i | 0.152853 | + | 0.264749i | 0.932275 | − | 0.361750i | \(-0.117821\pi\) |
−0.779422 | + | 0.626499i | \(0.784487\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0.521325 | + | 0.300987i | 0.0340075 | + | 0.0196342i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 0.279215i | 0.0181370i | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 18.2659 | 1.18152 | 0.590762 | − | 0.806846i | \(-0.298827\pi\) | ||||
0.590762 | + | 0.806846i | \(0.298827\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −11.6727 | + | 20.2178i | −0.751908 | + | 1.30234i | 0.194989 | + | 0.980805i | \(0.437533\pi\) |
−0.946897 | + | 0.321537i | \(0.895801\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 0.866025 | − | 0.500000i | 0.0555556 | − | 0.0320750i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −0.635722 | − | 9.92763i | −0.0406148 | − | 0.634253i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −12.9529 | − | 22.4350i | −0.824171 | − | 1.42751i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 3.34680 | − | 5.79683i | 0.212095 | − | 0.367359i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | − | 0.893668i | − | 0.0564078i | −0.999602 | − | 0.0282039i | \(-0.991021\pi\) | ||
0.999602 | − | 0.0282039i | \(-0.00897877\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 5.23210i | 0.328939i | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 3.45428 | − | 5.98299i | 0.216315 | − | 0.374669i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 14.9284 | + | 25.8568i | 0.931209 | + | 1.61290i | 0.781258 | + | 0.624209i | \(0.214579\pi\) |
0.149952 | + | 0.988693i | \(0.452088\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −5.95434 | − | 3.18841i | −0.369985 | − | 0.198118i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −5.87720 | + | 3.39320i | −0.363790 | + | 0.210034i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 0.498465 | − | 0.863366i | 0.0307367 | − | 0.0532375i | −0.850248 | − | 0.526382i | \(-0.823548\pi\) |
0.880985 | + | 0.473145i | \(0.156881\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 13.8026 | 0.847890 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 2.14805i | 0.131458i | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −14.3936 | − | 8.31015i | −0.877593 | − | 0.506679i | −0.00772927 | − | 0.999970i | \(-0.502460\pi\) |
−0.869864 | + | 0.493291i | \(0.835794\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 3.96742 | + | 6.87177i | 0.241004 | + | 0.417430i | 0.961000 | − | 0.276547i | \(-0.0891901\pi\) |
−0.719997 | + | 0.693977i | \(0.755857\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −9.44559 | + | 0.302118i | −0.571673 | + | 0.0182850i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −2.48123 | + | 1.43254i | −0.149624 | + | 0.0863853i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −12.3878 | − | 7.15213i | −0.744313 | − | 0.429730i | 0.0793221 | − | 0.996849i | \(-0.474724\pi\) |
−0.823636 | + | 0.567119i | \(0.808058\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −7.34569 | −0.439775 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −30.9343 | −1.84539 | −0.922694 | − | 0.385534i | \(-0.874017\pi\) | ||||
−0.922694 | + | 0.385534i | \(0.874017\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 0.109033 | + | 0.0629502i | 0.00648134 | + | 0.00374200i | 0.503237 | − | 0.864148i | \(-0.332142\pi\) |
−0.496756 | + | 0.867890i | \(0.665476\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −8.92608 | + | 5.15348i | −0.528735 | + | 0.305266i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −3.07301 | − | 4.95008i | −0.181394 | − | 0.292194i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −3.31605 | − | 5.74357i | −0.195062 | − | 0.337857i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 8.18379 | + | 4.72492i | 0.479742 | + | 0.276979i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 11.5096i | 0.672397i | 0.941791 | + | 0.336198i | \(0.109141\pi\) | ||||
−0.941791 | + | 0.336198i | \(0.890859\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 10.5672 | 0.615245 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 0.480658 | − | 0.832525i | 0.0278906 | − | 0.0483080i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −16.8361 | + | 9.72034i | −0.973658 | + | 0.562142i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 10.0230 | − | 6.22226i | 0.577715 | − | 0.358645i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 1.77950 | + | 3.08218i | 0.102230 | + | 0.177067i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −1.37752 | + | 2.38593i | −0.0788765 | + | 0.136618i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 18.0146i | 1.02815i | 0.857745 | + | 0.514075i | \(0.171865\pi\) | ||||
−0.857745 | + | 0.514075i | \(0.828135\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | − | 1.23742i | − | 0.0703943i | ||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 1.55812 | − | 2.69875i | 0.0883532 | − | 0.153032i | −0.818462 | − | 0.574561i | \(-0.805173\pi\) |
0.906815 | + | 0.421529i | \(0.138506\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 0.726624 | + | 1.25855i | 0.0410712 | + | 0.0711375i | 0.885830 | − | 0.464009i | \(-0.153590\pi\) |
−0.844759 | + | 0.535147i | \(0.820256\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 0.120202 | + | 3.75806i | 0.00677259 | + | 0.211743i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −15.5731 | + | 8.99111i | −0.874671 | + | 0.504991i | −0.868897 | − | 0.494992i | \(-0.835171\pi\) |
−0.00577305 | + | 0.999983i | \(0.501838\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −3.26194 | + | 5.64985i | −0.182634 | + | 0.316331i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −16.6767 | −0.930801 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 35.2570i | 1.96175i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −9.21939 | − | 5.32282i | −0.511400 | − | 0.295257i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 5.10790 | + | 8.84714i | 0.282468 | + | 0.489248i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −0.529038 | + | 0.987975i | −0.0291668 | + | 0.0544688i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 7.56479 | − | 4.36753i | 0.415798 | − | 0.240061i | −0.277480 | − | 0.960731i | \(-0.589499\pi\) |
0.693278 | + | 0.720670i | \(0.256166\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 2.21085 | + | 1.27644i | 0.121154 | + | 0.0699483i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −14.9946 | −0.819241 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 7.28406 | 0.396788 | 0.198394 | − | 0.980122i | \(-0.436427\pi\) | ||||
0.198394 | + | 0.980122i | \(0.436427\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −10.7421 | − | 6.20197i | −0.583432 | − | 0.336845i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −6.11547 | + | 3.53077i | −0.331171 | + | 0.191202i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 18.4351 | − | 1.77378i | 0.995403 | − | 0.0957754i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 3.86737 | + | 6.69848i | 0.208212 | + | 0.360634i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 0.264838 | + | 0.152905i | 0.0142173 | + | 0.00820835i | 0.507092 | − | 0.861892i | \(-0.330721\pi\) |
−0.492875 | + | 0.870100i | \(0.664054\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 6.94160i | 0.371575i | 0.982590 | + | 0.185788i | \(0.0594837\pi\) | ||||
−0.982590 | + | 0.185788i | \(0.940516\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 3.57192 | 0.190655 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 17.9762 | − | 31.1356i | 0.956775 | − | 1.65718i | 0.226521 | − | 0.974006i | \(-0.427265\pi\) |
0.730253 | − | 0.683176i | \(-0.239402\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −9.99472 | + | 5.77045i | −0.530464 | + | 0.306264i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 11.3385 | + | 6.07150i | 0.600097 | + | 0.321338i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 5.85386 | + | 10.1392i | 0.308955 | + | 0.535126i | 0.978134 | − | 0.207975i | \(-0.0666874\pi\) |
−0.669179 | + | 0.743101i | \(0.733354\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 16.8001 | − | 29.0987i | 0.884217 | − | 1.53151i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 10.0759i | 0.528846i | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | − | 14.2093i | − | 0.743747i | ||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 14.9631 | − | 25.9169i | 0.781068 | − | 1.35285i | −0.150252 | − | 0.988648i | \(-0.548008\pi\) |
0.931320 | − | 0.364202i | \(-0.118658\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 1.10108 | + | 1.90713i | 0.0573200 | + | 0.0992812i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 0.821485 | + | 25.6834i | 0.0426494 | + | 1.33342i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −0.0152179 | + | 0.00878607i | −0.000787954 | + | 0.000454926i | −0.500394 | − | 0.865798i | \(-0.666811\pi\) |
0.499606 | + | 0.866253i | \(0.333478\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −5.67060 | + | 9.82177i | −0.292829 | + | 0.507194i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −24.2405 | −1.24845 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 3.37530i | 0.173377i | 0.996235 | + | 0.0866887i | \(0.0276286\pi\) | ||||
−0.996235 | + | 0.0866887i | \(0.972371\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 15.0437 | + | 8.68548i | 0.770712 | + | 0.444971i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 5.19747 | + | 9.00228i | 0.265578 | + | 0.459995i | 0.967715 | − | 0.252047i | \(-0.0811038\pi\) |
−0.702137 | + | 0.712042i | \(0.747770\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 1.90641 | + | 3.07090i | 0.0971598 | + | 0.156508i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −3.86158 | + | 2.22948i | −0.196295 | + | 0.113331i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 11.8164 | + | 6.82217i | 0.599113 | + | 0.345898i | 0.768692 | − | 0.639619i | \(-0.220908\pi\) |
−0.169580 | + | 0.985516i | \(0.554241\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 26.4582 | 1.33805 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 14.8344 | 0.748294 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 0.343641 | + | 0.198402i | 0.0172905 | + | 0.00998266i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −18.0104 | + | 10.3983i | −0.903917 | + | 0.521876i | −0.878469 | − | 0.477800i | \(-0.841434\pi\) |
−0.0254477 | + | 0.999676i | \(0.508101\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −10.1206 | − | 16.3026i | −0.506666 | − | 0.816150i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 9.16853 | + | 15.8804i | 0.457855 | + | 0.793028i | 0.998847 | − | 0.0479997i | \(-0.0152846\pi\) |
−0.540993 | + | 0.841027i | \(0.681951\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −22.7230 | − | 13.1191i | −1.13191 | − | 0.653510i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | − | 1.42114i | − | 0.0706169i | ||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 2.45412 | 0.121646 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 0.0404092 | − | 0.0699908i | 0.00199811 | − | 0.00346082i | −0.865025 | − | 0.501729i | \(-0.832697\pi\) |
0.867023 | + | 0.498269i | \(0.166031\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 12.0032 | − | 6.93006i | 0.592075 | − | 0.341835i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 0.628922 | + | 19.6630i | 0.0309472 | + | 0.967553i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −4.75627 | − | 8.23810i | −0.233476 | − | 0.404392i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −10.4373 | + | 18.0780i | −0.511118 | + | 0.885282i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | − | 22.5177i | − | 1.10006i | −0.835144 | − | 0.550031i | \(-0.814616\pi\) | ||
0.835144 | − | 0.550031i | \(-0.185384\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 24.4058i | 1.18947i | 0.803923 | + | 0.594733i | \(0.202742\pi\) | ||||
−0.803923 | + | 0.594733i | \(0.797258\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 0.211793 | − | 0.366836i | 0.0102977 | − | 0.0178362i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 7.24421 | + | 12.5473i | 0.351396 | + | 0.608635i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −4.52163 | − | 2.42123i | −0.218817 | − | 0.117172i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 2.97371 | − | 1.71687i | 0.143572 | − | 0.0828915i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −16.8626 | + | 29.2068i | −0.812241 | + | 1.40684i | 0.0990516 | + | 0.995082i | \(0.468419\pi\) |
−0.911292 | + | 0.411760i | \(0.864914\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 24.9475 | 1.19890 | 0.599449 | − | 0.800413i | \(-0.295386\pi\) | ||||
0.599449 | + | 0.800413i | \(0.295386\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 9.64442i | 0.462415i | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −34.1849 | − | 19.7366i | −1.63528 | − | 0.944131i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −1.69821 | − | 2.94139i | −0.0810513 | − | 0.140385i | 0.822650 | − | 0.568547i | \(-0.192494\pi\) |
−0.903702 | + | 0.428162i | \(0.859161\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −6.98569 | + | 0.447333i | −0.332652 | + | 0.0213016i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 3.89785 | − | 2.25043i | 0.185193 | − | 0.106921i | −0.404537 | − | 0.914521i | \(-0.632567\pi\) |
0.589730 | + | 0.807600i | \(0.299234\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 2.64369 | + | 1.52634i | 0.125323 | + | 0.0723552i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −20.7203 | −0.980036 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 1.45841 | 0.0688264 | 0.0344132 | − | 0.999408i | \(-0.489044\pi\) | ||||
0.0344132 | + | 0.999408i | \(0.489044\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 1.83336 | + | 1.05849i | 0.0863294 | + | 0.0498423i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 2.14074 | − | 1.23596i | 0.100581 | − | 0.0580703i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −6.33992 | + | 11.8398i | −0.297220 | + | 0.555056i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −13.8539 | − | 23.9957i | −0.648058 | − | 1.12247i | −0.983586 | − | 0.180439i | \(-0.942248\pi\) |
0.335528 | − | 0.942030i | \(-0.391085\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −4.21000 | − | 2.43064i | −0.196506 | − | 0.113453i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 16.9591i | 0.789865i | 0.918710 | + | 0.394933i | \(0.129232\pi\) | ||||
−0.918710 | + | 0.394933i | \(0.870768\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −8.12386 | −0.377548 | −0.188774 | − | 0.982021i | \(-0.560451\pi\) | ||||
−0.188774 | + | 0.982021i | \(0.560451\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −5.21962 | + | 9.04065i | −0.242054 | + | 0.419250i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 19.8375 | − | 11.4532i | 0.917972 | − | 0.529991i | 0.0349845 | − | 0.999388i | \(-0.488862\pi\) |
0.882988 | + | 0.469396i | \(0.155528\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −0.892425 | − | 27.9013i | −0.0412084 | − | 1.28836i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 1.49761 | + | 2.59394i | 0.0690062 | + | 0.119522i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −2.14324 | + | 3.71220i | −0.0985463 | + | 0.170687i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | − | 21.6154i | − | 0.991783i | ||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | − | 9.71238i | − | 0.444700i | ||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −2.85974 | + | 4.95322i | −0.130665 | + | 0.226318i | −0.923933 | − | 0.382554i | \(-0.875045\pi\) |
0.793268 | + | 0.608872i | \(0.208378\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 4.55933 | + | 7.89700i | 0.207888 | + | 0.360072i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −12.2341 | + | 7.59492i | −0.556671 | + | 0.345581i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 11.6303 | − | 6.71476i | 0.528105 | − | 0.304901i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 11.3841 | − | 19.7178i | 0.515862 | − | 0.893499i | −0.483969 | − | 0.875085i | \(-0.660805\pi\) |
0.999830 | − | 0.0184136i | \(-0.00586157\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −2.25570 | −0.102006 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | − | 8.65619i | − | 0.390649i | −0.980739 | − | 0.195324i | \(-0.937424\pi\) | ||
0.980739 | − | 0.195324i | \(-0.0625759\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 28.5708 | + | 16.4953i | 1.28676 | + | 0.742912i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −0.683082 | − | 1.18313i | −0.0307023 | − | 0.0531779i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −11.3323 | − | 18.2543i | −0.508322 | − | 0.818819i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −3.20914 | + | 1.85280i | −0.143661 | + | 0.0829426i | −0.570108 | − | 0.821570i | \(-0.693098\pi\) |
0.426447 | + | 0.904513i | \(0.359765\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −2.12757 | − | 1.22835i | −0.0950529 | − | 0.0548788i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −10.6986 | −0.477028 | −0.238514 | − | 0.971139i | \(-0.576660\pi\) | ||||
−0.238514 | + | 0.971139i | \(0.576660\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 5.05783 | 0.225070 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −0.209029 | − | 0.120683i | −0.00928330 | − | 0.00535971i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 8.03974 | − | 4.64175i | 0.356355 | − | 0.205742i | −0.311125 | − | 0.950369i | \(-0.600706\pi\) |
0.667481 | + | 0.744627i | \(0.267373\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 26.4400 | − | 0.845685i | 1.16964 | − | 0.0374109i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 3.62630 | + | 6.28094i | 0.160105 | + | 0.277310i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −1.52294 | − | 0.879272i | −0.0671089 | − | 0.0387454i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | − | 0.407200i | − | 0.0179087i | ||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −8.80934 | −0.386687 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −6.29844 | + | 10.9092i | −0.275940 | + | 0.477942i | −0.970372 | − | 0.241617i | \(-0.922322\pi\) |
0.694432 | + | 0.719558i | \(0.255656\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 20.1037 | − | 11.6069i | 0.879074 | − | 0.507534i | 0.00872093 | − | 0.999962i | \(-0.497224\pi\) |
0.870353 | + | 0.492428i | \(0.163891\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −6.95143 | − | 3.72233i | −0.303385 | − | 0.162456i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 17.8548 | + | 30.9254i | 0.777766 | + | 1.34713i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −3.31114 | + | 5.73506i | −0.143963 | + | 0.249350i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | − | 7.43572i | − | 0.322683i | ||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 7.86596i | 0.340712i | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −11.8499 | + | 20.5247i | −0.512317 | + | 0.887359i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 6.97551 | + | 12.0819i | 0.301015 | + | 0.521374i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −5.60075 | + | 3.73015i | −0.241241 | + | 0.160669i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 0.0793579 | − | 0.0458173i | 0.00341186 | − | 0.00196984i | −0.498293 | − | 0.867009i | \(-0.666040\pi\) |
0.501705 | + | 0.865039i | \(0.332706\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −7.87730 | + | 13.6439i | −0.338047 | + | 0.585515i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 14.5181 | 0.621886 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | − | 17.7752i | − | 0.760015i | −0.924983 | − | 0.380007i | \(-0.875921\pi\) | ||
0.924983 | − | 0.380007i | \(-0.124079\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 1.67889 | + | 0.969306i | 0.0716532 | + | 0.0413690i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −24.6096 | − | 42.6250i | −1.04840 | − | 1.81589i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −0.348725 | + | 0.651243i | −0.0148293 | + | 0.0276937i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 3.14193 | − | 1.81399i | 0.133367 | − | 0.0769997i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 4.26326 | + | 2.46139i | 0.180640 | + | 0.104293i | 0.587593 | − | 0.809156i | \(-0.300075\pi\) |
−0.406953 | + | 0.913449i | \(0.633409\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −15.9271 | −0.673644 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −4.67324 | −0.197304 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 14.6661 | + | 8.46747i | 0.618102 | + | 0.356862i | 0.776130 | − | 0.630573i | \(-0.217180\pi\) |
−0.158028 | + | 0.987435i | \(0.550513\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −15.2660 | + | 8.81385i | −0.642247 | + | 0.370802i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 2.64440 | − | 0.0845812i | 0.111054 | − | 0.00355208i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −10.2382 | − | 17.7331i | −0.429208 | − | 0.743411i | 0.567595 | − | 0.823308i | \(-0.307874\pi\) |
−0.996803 | + | 0.0798973i | \(0.974541\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −4.92200 | − | 2.84172i | −0.205979 | − | 0.118922i | 0.393462 | − | 0.919341i | \(-0.371277\pi\) |
−0.599441 | + | 0.800419i | \(0.704611\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 12.4335i | 0.519419i | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −16.2210 | −0.676464 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −9.12362 | + | 15.8026i | −0.379821 | + | 0.657870i | −0.991036 | − | 0.133595i | \(-0.957348\pi\) |
0.611215 | + | 0.791465i | \(0.290681\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −5.07274 | + | 2.92875i | −0.210816 | + | 0.121715i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 15.0461 | − | 9.34059i | 0.624216 | − | 0.387513i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −4.66834 | − | 8.08580i | −0.193343 | − | 0.334880i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 2.53810 | − | 4.39612i | 0.104937 | − | 0.181757i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | − | 3.25244i | − | 0.134243i | −0.997745 | − | 0.0671213i | \(-0.978619\pi\) | ||
0.997745 | − | 0.0671213i | \(-0.0213815\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | − | 53.2754i | − | 2.19517i | ||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 13.7509 | − | 23.8173i | 0.565638 | − | 0.979713i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −10.6829 | − | 18.5034i | −0.438696 | − | 0.759843i | 0.558894 | − | 0.829239i | \(-0.311226\pi\) |
−0.997589 | + | 0.0693963i | \(0.977893\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 15.5292 | − | 9.64054i | 0.636637 | − | 0.395224i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 20.6297 | − | 11.9106i | 0.844318 | − | 0.487467i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 0.572755 | − | 0.992041i | 0.0234021 | − | 0.0405337i | −0.854087 | − | 0.520130i | \(-0.825884\pi\) |
0.877489 | + | 0.479596i | \(0.159217\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 38.8738 | 1.58570 | 0.792848 | − | 0.609419i | \(-0.208597\pi\) | ||||
0.792848 | + | 0.609419i | \(0.208597\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 10.5511i | 0.429674i | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 12.4008 | + | 7.15960i | 0.504164 | + | 0.291079i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −2.80705 | − | 4.86195i | −0.113935 | − | 0.197341i | 0.803419 | − | 0.595414i | \(-0.203012\pi\) |
−0.917353 | + | 0.398074i | \(0.869679\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −17.9460 | + | 0.574002i | −0.727207 | + | 0.0232598i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 1.31031 | − | 0.756508i | 0.0530095 | − | 0.0306051i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 34.5018 | + | 19.9196i | 1.39351 | + | 0.804545i | 0.993702 | − | 0.112053i | \(-0.0357426\pi\) |
0.399810 | + | 0.916598i | \(0.369076\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 3.12958 | 0.126197 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 8.53231 | 0.343498 | 0.171749 | − | 0.985141i | \(-0.445058\pi\) | ||||
0.171749 | + | 0.985141i | \(0.445058\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −6.85011 | − | 3.95491i | −0.275329 | − | 0.158961i | 0.355978 | − | 0.934494i | \(-0.384148\pi\) |
−0.631307 | + | 0.775533i | \(0.717481\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 4.71346 | − | 2.72132i | 0.189145 | − | 0.109203i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −2.68280 | + | 5.01012i | −0.107484 | + | 0.200726i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 0.607795 | + | 1.05273i | 0.0243118 | + | 0.0421093i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 6.03797 | + | 3.48602i | 0.241133 | + | 0.139218i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | − | 12.4103i | − | 0.494829i | ||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −0.418675 | −0.0166672 | −0.00833360 | − | 0.999965i | \(-0.502653\pi\) | ||||
−0.00833360 | + | 0.999965i | \(0.502653\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 13.1637 | − | 22.8001i | 0.523208 | − | 0.906223i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 21.3792 | − | 12.3433i | 0.848407 | − | 0.489828i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −22.4083 | − | 11.0924i | −0.887849 | − | 0.439497i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 4.06044 | + | 7.03289i | 0.160629 | + | 0.278217i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 8.64934 | − | 14.9811i | 0.341629 | − | 0.591718i | −0.643107 | − | 0.765777i | \(-0.722355\pi\) |
0.984735 | + | 0.174059i | \(0.0556882\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | − | 3.36919i | − | 0.132868i | −0.997791 | − | 0.0664340i | \(-0.978838\pi\) | ||
0.997791 | − | 0.0664340i | \(-0.0211622\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 6.33681i | 0.249512i | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 7.44102 | − | 12.8882i | 0.292537 | − | 0.506688i | −0.681872 | − | 0.731471i | \(-0.738834\pi\) |
0.974409 | + | 0.224783i | \(0.0721673\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −3.57404 | − | 6.19042i | −0.140293 | − | 0.242995i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −17.1332 | − | 9.17441i | −0.671501 | − | 0.359573i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −6.62437 | + | 3.82458i | −0.259232 | + | 0.149668i | −0.623984 | − | 0.781437i | \(-0.714487\pi\) |
0.364752 | + | 0.931105i | \(0.381154\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 10.5408 | − | 18.2573i | 0.411865 | − | 0.713370i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −9.99850 | −0.390079 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | − | 39.2806i | − | 1.53015i | −0.643939 | − | 0.765077i | \(-0.722701\pi\) | ||
0.643939 | − | 0.765077i | \(-0.277299\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −16.6484 | − | 9.61194i | −0.647547 | − | 0.373861i | 0.139969 | − | 0.990156i | \(-0.455300\pi\) |
−0.787516 | + | 0.616295i | \(0.788633\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −8.68207 | − | 15.0378i | −0.337184 | − | 0.584019i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −27.2557 | + | 0.871774i | −1.05693 | + | 0.0338060i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −31.9875 | + | 18.4680i | −1.23856 | + | 0.715083i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −13.4279 | − | 7.75261i | −0.519153 | − | 0.299733i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 1.86362 | 0.0719443 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −37.7330 | −1.45450 | −0.727250 | − | 0.686373i | \(-0.759202\pi\) | ||||
−0.727250 | + | 0.686373i | \(0.759202\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 2.58107 | + | 1.49018i | 0.0993455 | + | 0.0573572i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 10.7109 | − | 6.18392i | 0.411652 | − | 0.237667i | −0.279847 | − | 0.960044i | \(-0.590284\pi\) |
0.691499 | + | 0.722377i | \(0.256951\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 13.1868 | + | 21.2416i | 0.506061 | + | 0.815177i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 0.644429 | + | 1.11618i | 0.0246946 | + | 0.0427722i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 7.14537 | + | 4.12538i | 0.273410 | + | 0.157853i | 0.630436 | − | 0.776241i | \(-0.282876\pi\) |
−0.357026 | + | 0.934094i | \(0.616209\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | − | 19.6971i | − | 0.752589i | ||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 3.13887 | 0.119755 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 17.3459 | − | 30.0441i | 0.660828 | − | 1.14459i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 13.2717 | − | 7.66244i | 0.504880 | − | 0.291493i | −0.225846 | − | 0.974163i | \(-0.572515\pi\) |
0.730727 | + | 0.682670i | \(0.239181\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 2.16087 | − | 1.34147i | 0.0820848 | − | 0.0509582i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 14.8329 | + | 25.6913i | 0.562643 | + | 0.974526i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 5.35267 | − | 9.27110i | 0.202747 | − | 0.351168i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | − | 4.66639i | − | 0.176499i | ||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | − | 41.2674i | − | 1.55865i | −0.626622 | − | 0.779324i | \(-0.715563\pi\) | ||
0.626622 | − | 0.779324i | \(-0.284437\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −9.25749 | + | 16.0344i | −0.349153 | + | 0.604751i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −0.300987 | − | 0.521325i | −0.0113358 | − | 0.0196342i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 0.301024 | + | 9.41141i | 0.0113212 | + | 0.353952i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 6.38237 | − | 3.68486i | 0.239695 | − | 0.138388i | −0.375342 | − | 0.926887i | \(-0.622475\pi\) |
0.615037 | + | 0.788499i | \(0.289141\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0.139607 | − | 0.241807i | 0.00523569 | − | 0.00906848i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −39.9799 | −1.49726 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | − | 4.87983i | − | 0.182495i | ||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −15.8187 | − | 9.13296i | −0.590762 | − | 0.341077i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 0.151601 | + | 0.262580i | 0.00565375 | + | 0.00979259i | 0.868838 | − | 0.495096i | \(-0.164867\pi\) |
−0.863185 | + | 0.504888i | \(0.831534\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 1.54547 | − | 2.88617i | 0.0575565 | − | 0.107486i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 20.2178 | − | 11.6727i | 0.751908 | − | 0.434114i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −17.5162 | − | 10.1130i | −0.650536 | − | 0.375587i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −9.78796 | −0.363015 | −0.181508 | − | 0.983390i | \(-0.558098\pi\) | ||||
−0.181508 | + | 0.983390i | \(0.558098\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 18.7722 | + | 10.8382i | 0.694316 | + | 0.400864i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 23.6363 | − | 13.6464i | 0.873026 | − | 0.504042i | 0.00467329 | − | 0.999989i | \(-0.498512\pi\) |
0.868353 | + | 0.495947i | \(0.165179\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −4.41327 | + | 8.91544i | −0.162786 | + | 0.328851i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 5.07148 | + | 8.78405i | 0.186810 | + | 0.323565i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −1.81086 | − | 1.04550i | −0.0666134 | − | 0.0384593i | 0.466323 | − | 0.884614i | \(-0.345578\pi\) |
−0.532937 | + | 0.846155i | \(0.678912\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 25.9057i | 0.951671i | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 47.9593 | 1.75945 | 0.879727 | − | 0.475479i | \(-0.157725\pi\) | ||||
0.879727 | + | 0.475479i | \(0.157725\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −14.7232 | + | 25.5013i | −0.539416 | + | 0.934297i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −5.79683 | + | 3.34680i | −0.212095 | + | 0.122453i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −38.8968 | − | 20.8283i | −1.42126 | − | 0.761051i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −13.6435 | − | 23.6313i | −0.497859 | − | 0.862317i | 0.502138 | − | 0.864788i | \(-0.332547\pi\) |
−0.999997 | + | 0.00247029i | \(0.999214\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −0.446834 | + | 0.773939i | −0.0162835 | + | 0.0282039i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | − | 3.51293i | − | 0.127849i | ||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | − | 11.9222i | − | 0.433320i | −0.976247 | − | 0.216660i | \(-0.930484\pi\) | ||
0.976247 | − | 0.216660i | \(-0.0695163\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 2.61605 | − | 4.53113i | 0.0949565 | − | 0.164470i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 12.9315 | + | 22.3980i | 0.468767 | + | 0.811928i | 0.999363 | − | 0.0356967i | \(-0.0113650\pi\) |
−0.530596 | + | 0.847625i | \(0.678032\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0.864065 | + | 27.0147i | 0.0312812 | + | 0.977996i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −5.98299 | + | 3.45428i | −0.216315 | + | 0.124890i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 13.2799 | − | 23.0015i | 0.479510 | − | 0.830535i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 1.72326 | 0.0621423 | 0.0310712 | − | 0.999517i | \(-0.490108\pi\) | ||||
0.0310712 | + | 0.999517i | \(0.490108\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | − | 29.8568i | − | 1.07527i | ||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 22.4410 | + | 12.9563i | 0.807145 | + | 0.466005i | 0.845963 | − | 0.533241i | \(-0.179026\pi\) |
−0.0388184 | + | 0.999246i | \(0.512359\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −10.9464 | − | 18.9598i | −0.393207 | − | 0.681055i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 3.56241 | + | 5.73842i | 0.127801 | + | 0.205865i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −13.8317 | + | 7.98571i | −0.495570 | + | 0.286118i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 6.76084 | + | 3.90337i | 0.241922 | + | 0.139674i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 6.78641 | 0.242526 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 4.25662 | 0.151925 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 34.3131 | + | 19.8107i | 1.22313 | + | 0.706174i | 0.965584 | − | 0.260092i | \(-0.0837529\pi\) |
0.257546 | + | 0.966266i | \(0.417086\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −0.863366 | + | 0.498465i | −0.0307367 | + | 0.0177458i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −17.3091 | − | 27.8819i | −0.615439 | − | 0.991366i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 3.46229 | + | 5.99686i | 0.122949 | + | 0.212955i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −11.9534 | − | 6.90132i | −0.423945 | − | 0.244765i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 15.7107i | 0.556502i | 0.960508 | + | 0.278251i | \(0.0897547\pi\) | ||||
−0.960508 | + | 0.278251i | \(0.910245\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −2.05917 | −0.0728483 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 1.07402 | − | 1.86026i | 0.0379487 | − | 0.0657291i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −8.32400 | + | 4.80587i | −0.293748 | + | 0.169595i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0.654213 | + | 20.4537i | 0.0230580 | + | 0.720899i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 8.31015 | + | 14.3936i | 0.292531 | + | 0.506679i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −16.4434 | + | 28.4809i | −0.578121 | + | 1.00133i | 0.417574 | + | 0.908643i | \(0.362880\pi\) |
−0.995695 | + | 0.0926918i | \(0.970453\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 43.5139i | 1.52798i | 0.645227 | + | 0.763991i | \(0.276763\pi\) | ||||
−0.645227 | + | 0.763991i | \(0.723237\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | − | 7.93484i | − | 0.278287i | ||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −1.60283 | + | 2.77618i | −0.0561447 | + | 0.0972455i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −16.1696 | − | 28.0065i | −0.565701 | − | 0.979823i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 8.33118 | + | 4.46115i | 0.291115 | + | 0.155885i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −29.4342 | + | 16.9938i | −1.02726 | + | 0.593089i | −0.916199 | − | 0.400725i | \(-0.868758\pi\) |
−0.111062 | + | 0.993814i | \(0.535425\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 5.27792 | − | 9.14163i | 0.183977 | − | 0.318657i | −0.759254 | − | 0.650794i | \(-0.774436\pi\) |
0.943231 | + | 0.332137i | \(0.107770\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 2.86508 | 0.0997491 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | − | 7.79584i | − | 0.271088i | −0.990771 | − | 0.135544i | \(-0.956722\pi\) | ||
0.990771 | − | 0.135544i | \(-0.0432782\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 46.7154 | + | 26.9712i | 1.62249 | + | 0.936747i | 0.986250 | + | 0.165260i | \(0.0528462\pi\) |
0.636244 | + | 0.771488i | \(0.280487\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 7.15213 | + | 12.3878i | 0.248104 | + | 0.429730i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 18.8630 | + | 28.3224i | 0.653564 | + | 0.981314i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −3.02357 | + | 1.74566i | −0.104635 | + | 0.0604111i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 6.36156 | + | 3.67285i | 0.219888 | + | 0.126952i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −32.7564 | −1.13088 | −0.565439 | − | 0.824790i | \(-0.691293\pi\) | ||||
−0.565439 | + | 0.824790i | \(0.691293\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −17.0553 | −0.588115 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 26.7899 | + | 15.4672i | 0.922694 | + | 0.532717i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −0.297059 | + | 0.171507i | −0.0102191 | + | 0.00590002i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −12.5843 | + | 23.5010i | −0.432400 | + | 0.807505i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −0.0629502 | − | 0.109033i | −0.00216045 | − | 0.00374200i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 12.0329 | + | 6.94718i | 0.412481 | + | 0.238146i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | − | 29.5726i | − | 1.01255i | −0.862373 | − | 0.506274i | \(-0.831022\pi\) | ||
0.862373 | − | 0.506274i | \(-0.168978\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 10.3070 | 0.352490 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −13.3754 | + | 23.1669i | −0.456895 | + | 0.791366i | −0.998795 | − | 0.0490772i | \(-0.984372\pi\) |
0.541900 | + | 0.840443i | \(0.317705\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 1.51398 | − | 0.874100i | 0.0516565 | − | 0.0298239i | −0.473949 | − | 0.880552i | \(-0.657172\pi\) |
0.525606 | + | 0.850728i | \(0.323839\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 0.186262 | + | 5.82340i | 0.00634778 | + | 0.198461i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −24.1071 | − | 41.7548i | −0.820617 | − | 1.42135i | −0.905224 | − | 0.424935i | \(-0.860297\pi\) |
0.0846071 | − | 0.996414i | \(-0.473036\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −6.25965 | + | 10.8420i | −0.212834 | + | 0.368640i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 6.63210i | 0.225238i | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | − | 0.268414i | − | 0.00910532i | ||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −18.8439 | + | 32.6385i | −0.638500 | + | 1.10591i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −4.72492 | − | 8.18379i | −0.159914 | − | 0.276979i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −25.4931 | + | 15.8261i | −0.861823 | + | 0.535019i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −29.8088 | + | 17.2101i | −1.00657 | + | 0.581144i | −0.910186 | − | 0.414201i | \(-0.864061\pi\) |
−0.0963845 | + | 0.995344i | \(0.530728\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 5.75479 | − | 9.96759i | 0.194104 | − | 0.336198i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 53.0365 | 1.78685 | 0.893423 | − | 0.449216i | \(-0.148297\pi\) | ||||
0.893423 | + | 0.449216i | \(0.148297\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | − | 1.90861i | − | 0.0642300i | −0.999484 | − | 0.0321150i | \(-0.989776\pi\) | ||
0.999484 | − | 0.0321150i | \(-0.0102243\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −9.15145 | − | 5.28359i | −0.307623 | − | 0.177606i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 28.0441 | + | 48.5738i | 0.941629 | + | 1.63095i | 0.762364 | + | 0.647148i | \(0.224039\pi\) |
0.179265 | + | 0.983801i | \(0.442628\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 24.2403 | + | 39.0469i | 0.812993 | + | 1.30959i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −0.832525 | + | 0.480658i | −0.0278906 | + | 0.0161027i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 2.66052 | + | 1.53605i | 0.0890308 | + | 0.0514020i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 19.8263 | 0.662721 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 19.4407 | 0.649105 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −43.1721 | − | 24.9254i | −1.43987 | − | 0.831310i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −40.8891 | + | 23.6073i | −1.36221 | + | 0.786474i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −11.7913 | + | 0.377145i | −0.392389 | + | 0.0125506i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 11.1947 | + | 19.3899i | 0.372126 | + | 0.644541i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 0.681646 | + | 0.393549i | 0.0226337 | + | 0.0130676i | 0.511274 | − | 0.859418i | \(-0.329174\pi\) |
−0.488640 | + | 0.872485i | \(0.662507\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | − | 3.55900i | − | 0.118044i | ||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −25.5097 | −0.845175 | −0.422587 | − | 0.906322i | \(-0.638878\pi\) | ||||
−0.422587 | + | 0.906322i | \(0.638878\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −3.21734 | + | 5.57259i | −0.106478 | + | 0.184426i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 2.38593 | − | 1.37752i | 0.0788765 | − | 0.0455393i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 34.5998 | + | 18.5274i | 1.14258 | + | 0.611828i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 0.0790741 | + | 0.136960i | 0.00260841 | + | 0.00451790i | 0.867327 | − | 0.497739i | \(-0.165836\pi\) |
−0.864718 | + | 0.502257i | \(0.832503\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 9.00732 | − | 15.6011i | 0.296801 | − | 0.514075i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 29.0072i | 0.954783i | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 7.60850i | 0.250166i | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −0.618710 | + | 1.07164i | −0.0203211 | + | 0.0351972i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −10.9079 | − | 18.8931i | −0.357878 | − | 0.619862i | 0.629728 | − | 0.776815i | \(-0.283166\pi\) |
−0.987606 | + | 0.156953i | \(0.949833\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −3.24433 | − | 50.6644i | −0.106329 | − | 1.66046i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −2.69875 | + | 1.55812i | −0.0883532 | + | 0.0510107i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −3.32066 | + | 5.75155i | −0.108597 | + | 0.188096i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 21.9184 | 0.716044 | 0.358022 | − | 0.933713i | \(-0.383451\pi\) | ||||
0.358022 | + | 0.933713i | \(0.383451\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | − | 1.45325i | − | 0.0474250i | ||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 46.0309 | + | 26.5760i | 1.50056 | + | 0.866351i | 1.00000 | 0.000652139i | \(0.000207582\pi\) | |
0.500565 | + | 0.865699i | \(0.333126\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 5.99279 | + | 10.3798i | 0.195152 | + | 0.338013i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 1.77493 | − | 3.31467i | 0.0577385 | − | 0.107826i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −8.42390 | + | 4.86354i | −0.273740 | + | 0.158044i | −0.630586 | − | 0.776119i | \(-0.717185\pi\) |
0.356846 | + | 0.934163i | \(0.383852\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −30.9291 | − | 17.8569i | −1.00400 | − | 0.579661i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 17.9822 | 0.583114 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 5.09514 | 0.165048 | 0.0825239 | − | 0.996589i | \(-0.473702\pi\) | ||||
0.0825239 | + | 0.996589i | \(0.473702\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 15.3025 | + | 8.83489i | 0.495177 | + | 0.285890i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 5.64985 | − | 3.26194i | 0.182634 | − | 0.105444i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 36.6517 | − | 1.17231i | 1.18354 | − | 0.0378557i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −11.4796 | − | 19.8833i | −0.370310 | − | 0.641396i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 14.4424 | + | 8.33834i | 0.465401 | + | 0.268699i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 8.32431i | 0.267969i | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −38.9910 | −1.25387 | −0.626933 | − | 0.779073i | \(-0.715690\pi\) | ||||
−0.626933 | + | 0.779073i | \(0.715690\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 17.6285 | − | 30.5334i | 0.566309 | − | 0.980875i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −34.4205 | + | 19.8727i | −1.10461 | + | 0.637746i | −0.937427 | − | 0.348181i | \(-0.886800\pi\) |
−0.167181 | + | 0.985926i | \(0.553466\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −46.9226 | + | 29.1295i | −1.50427 | + | 0.933849i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 5.32282 | + | 9.21939i | 0.170467 | + | 0.295257i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 21.7445 | − | 37.6625i | 0.695667 | − | 1.20493i | −0.274288 | − | 0.961648i | \(-0.588442\pi\) |
0.969955 | − | 0.243284i | \(-0.0782246\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | − | 2.06495i | − | 0.0659962i | ||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | − | 10.2158i | − | 0.326165i | ||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 17.3291 | − | 30.0149i | 0.552713 | − | 0.957327i | −0.445364 | − | 0.895349i | \(-0.646926\pi\) |
0.998078 | − | 0.0619779i | \(-0.0197408\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −19.5420 | − | 33.8477i | −0.622659 | − | 1.07848i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 0.952148 | − | 0.591093i | 0.0303072 | − | 0.0188147i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −21.0172 | + | 12.1343i | −0.668307 | + | 0.385847i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −15.4425 | + | 26.7473i | −0.490548 | + | 0.849655i | −0.999941 | − | 0.0108797i | \(-0.996537\pi\) |
0.509392 | + | 0.860534i | \(0.329870\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −8.73506 | −0.277199 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | − | 33.8531i | − | 1.07322i | ||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 29.4376 | + | 16.9958i | 0.932297 | + | 0.538262i | 0.887537 | − | 0.460736i | \(-0.152414\pi\) |
0.0447599 | + | 0.998998i | \(0.485748\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −1.27644 | − | 2.21085i | −0.0403847 | − | 0.0699483i |
(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 | 672.2.bk.a.529.3 | 32 | ||
3.2 | odd | 2 | 2016.2.cr.e.1873.11 | 32 | |||
4.3 | odd | 2 | 168.2.bc.a.109.9 | yes | 32 | ||
7.2 | even | 3 | inner | 672.2.bk.a.625.14 | 32 | ||
7.3 | odd | 6 | 4704.2.c.f.2353.6 | 16 | |||
7.4 | even | 3 | 4704.2.c.e.2353.11 | 16 | |||
8.3 | odd | 2 | 168.2.bc.a.109.13 | yes | 32 | ||
8.5 | even | 2 | inner | 672.2.bk.a.529.14 | 32 | ||
12.11 | even | 2 | 504.2.cj.e.109.8 | 32 | |||
21.2 | odd | 6 | 2016.2.cr.e.1297.6 | 32 | |||
24.5 | odd | 2 | 2016.2.cr.e.1873.6 | 32 | |||
24.11 | even | 2 | 504.2.cj.e.109.4 | 32 | |||
28.3 | even | 6 | 1176.2.c.f.589.3 | 16 | |||
28.11 | odd | 6 | 1176.2.c.e.589.3 | 16 | |||
28.23 | odd | 6 | 168.2.bc.a.37.13 | yes | 32 | ||
56.3 | even | 6 | 1176.2.c.f.589.4 | 16 | |||
56.11 | odd | 6 | 1176.2.c.e.589.4 | 16 | |||
56.37 | even | 6 | inner | 672.2.bk.a.625.3 | 32 | ||
56.45 | odd | 6 | 4704.2.c.f.2353.11 | 16 | |||
56.51 | odd | 6 | 168.2.bc.a.37.9 | ✓ | 32 | ||
56.53 | even | 6 | 4704.2.c.e.2353.6 | 16 | |||
84.23 | even | 6 | 504.2.cj.e.37.4 | 32 | |||
168.107 | even | 6 | 504.2.cj.e.37.8 | 32 | |||
168.149 | odd | 6 | 2016.2.cr.e.1297.11 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
168.2.bc.a.37.9 | ✓ | 32 | 56.51 | odd | 6 | ||
168.2.bc.a.37.13 | yes | 32 | 28.23 | odd | 6 | ||
168.2.bc.a.109.9 | yes | 32 | 4.3 | odd | 2 | ||
168.2.bc.a.109.13 | yes | 32 | 8.3 | odd | 2 | ||
504.2.cj.e.37.4 | 32 | 84.23 | even | 6 | |||
504.2.cj.e.37.8 | 32 | 168.107 | even | 6 | |||
504.2.cj.e.109.4 | 32 | 24.11 | even | 2 | |||
504.2.cj.e.109.8 | 32 | 12.11 | even | 2 | |||
672.2.bk.a.529.3 | 32 | 1.1 | even | 1 | trivial | ||
672.2.bk.a.529.14 | 32 | 8.5 | even | 2 | inner | ||
672.2.bk.a.625.3 | 32 | 56.37 | even | 6 | inner | ||
672.2.bk.a.625.14 | 32 | 7.2 | even | 3 | inner | ||
1176.2.c.e.589.3 | 16 | 28.11 | odd | 6 | |||
1176.2.c.e.589.4 | 16 | 56.11 | odd | 6 | |||
1176.2.c.f.589.3 | 16 | 28.3 | even | 6 | |||
1176.2.c.f.589.4 | 16 | 56.3 | even | 6 | |||
2016.2.cr.e.1297.6 | 32 | 21.2 | odd | 6 | |||
2016.2.cr.e.1297.11 | 32 | 168.149 | odd | 6 | |||
2016.2.cr.e.1873.6 | 32 | 24.5 | odd | 2 | |||
2016.2.cr.e.1873.11 | 32 | 3.2 | odd | 2 | |||
4704.2.c.e.2353.6 | 16 | 56.53 | even | 6 | |||
4704.2.c.e.2353.11 | 16 | 7.4 | even | 3 | |||
4704.2.c.f.2353.6 | 16 | 7.3 | odd | 6 | |||
4704.2.c.f.2353.11 | 16 | 56.45 | odd | 6 |