Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [384,2,Mod(49,384)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(384, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([0, 5, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("384.49");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 384 = 2^{7} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 384.n (of order \(8\), degree \(4\), 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: | \(3.06625543762\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{8})\) |
Twist minimal: | no (minimal twist has level 96) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 241.2 | ||
Character | \(\chi\) | \(=\) | 384.241 |
Dual form | 384.2.n.a.145.2 |
$q$-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 \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(133\) | \(257\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{8}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −0.382683 | − | 0.923880i | −0.220942 | − | 0.533402i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −1.20409 | − | 0.498752i | −0.538487 | − | 0.223048i | 0.0968290 | − | 0.995301i | \(-0.469130\pi\) |
−0.635316 | + | 0.772253i | \(0.719130\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.59422 | − | 2.59422i | −0.980524 | − | 0.980524i | 0.0192902 | − | 0.999814i | \(-0.493859\pi\) |
−0.999814 | + | 0.0192902i | \(0.993859\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −0.707107 | + | 0.707107i | −0.235702 | + | 0.235702i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −2.14608 | + | 5.18109i | −0.647066 | + | 1.56216i | 0.169894 | + | 0.985462i | \(0.445658\pi\) |
−0.816960 | + | 0.576694i | \(0.804342\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.984096 | + | 0.407626i | −0.272939 | + | 0.113055i | −0.514955 | − | 0.857217i | \(-0.672191\pi\) |
0.242016 | + | 0.970272i | \(0.422191\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 1.30330i | 0.336511i | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 0.979053i | 0.237455i | 0.992927 | + | 0.118728i | \(0.0378815\pi\) | ||||
−0.992927 | + | 0.118728i | \(0.962118\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −5.68961 | + | 2.35671i | −1.30529 | + | 0.540667i | −0.923505 | − | 0.383586i | \(-0.874689\pi\) |
−0.381781 | + | 0.924253i | \(0.624689\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −1.40398 | + | 3.38951i | −0.306374 | + | 0.739653i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 3.70206 | − | 3.70206i | 0.771932 | − | 0.771932i | −0.206512 | − | 0.978444i | \(-0.566211\pi\) |
0.978444 | + | 0.206512i | \(0.0662113\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −2.33445 | − | 2.33445i | −0.466890 | − | 0.466890i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 0.923880 | + | 0.382683i | 0.177801 | + | 0.0736475i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −1.17302 | − | 2.83193i | −0.217825 | − | 0.525876i | 0.776761 | − | 0.629796i | \(-0.216861\pi\) |
−0.994586 | + | 0.103920i | \(0.966861\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −1.54469 | −0.277434 | −0.138717 | − | 0.990332i | \(-0.544298\pi\) | ||||
−0.138717 | + | 0.990332i | \(0.544298\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 5.60797 | 0.976222 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 1.82981 | + | 4.41756i | 0.309295 | + | 0.746703i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −8.23352 | − | 3.41044i | −1.35358 | − | 0.560672i | −0.416295 | − | 0.909229i | \(-0.636672\pi\) |
−0.937288 | + | 0.348557i | \(0.886672\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0.753195 | + | 0.753195i | 0.120608 | + | 0.120608i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −1.10862 | + | 1.10862i | −0.173138 | + | 0.173138i | −0.788357 | − | 0.615219i | \(-0.789068\pi\) |
0.615219 | + | 0.788357i | \(0.289068\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 3.47106 | − | 8.37989i | 0.529332 | − | 1.27792i | −0.402629 | − | 0.915363i | \(-0.631903\pi\) |
0.931961 | − | 0.362558i | \(-0.118097\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 1.20409 | − | 0.498752i | 0.179496 | − | 0.0743495i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 3.15582i | 0.460324i | 0.973152 | + | 0.230162i | \(0.0739256\pi\) | ||||
−0.973152 | + | 0.230162i | \(0.926074\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 6.45997i | 0.922853i | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0.904527 | − | 0.374667i | 0.126659 | − | 0.0524639i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −2.55252 | + | 6.16232i | −0.350615 | + | 0.846460i | 0.645929 | + | 0.763397i | \(0.276470\pi\) |
−0.996544 | + | 0.0830627i | \(0.973530\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 5.16815 | − | 5.16815i | 0.696873 | − | 0.696873i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 4.35464 | + | 4.35464i | 0.576786 | + | 0.576786i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 8.95423 | + | 3.70896i | 1.16574 | + | 0.482866i | 0.879783 | − | 0.475376i | \(-0.157688\pi\) |
0.285958 | + | 0.958242i | \(0.407688\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −2.00717 | − | 4.84573i | −0.256991 | − | 0.620432i | 0.741746 | − | 0.670681i | \(-0.233998\pi\) |
−0.998737 | + | 0.0502499i | \(0.983998\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 3.66878 | 0.462223 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 1.38825 | 0.172191 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −1.14380 | − | 2.76138i | −0.139738 | − | 0.337357i | 0.838482 | − | 0.544930i | \(-0.183444\pi\) |
−0.978220 | + | 0.207573i | \(0.933444\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −4.83697 | − | 2.00354i | −0.582303 | − | 0.241198i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −10.0373 | − | 10.0373i | −1.19120 | − | 1.19120i | −0.976730 | − | 0.214474i | \(-0.931196\pi\) |
−0.214474 | − | 0.976730i | \(-0.568804\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 8.11103 | − | 8.11103i | 0.949324 | − | 0.949324i | −0.0494525 | − | 0.998776i | \(-0.515748\pi\) |
0.998776 | + | 0.0494525i | \(0.0157476\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −1.26339 | + | 3.05010i | −0.145884 | + | 0.352196i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 19.0083 | − | 7.87349i | 2.16620 | − | 0.897268i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 0.155459i | 0.0174905i | 0.999962 | + | 0.00874523i | \(0.00278373\pi\) | ||||
−0.999962 | + | 0.00874523i | \(0.997216\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | − | 1.00000i | − | 0.111111i | ||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −5.13862 | + | 2.12849i | −0.564037 | + | 0.233632i | −0.646437 | − | 0.762968i | \(-0.723742\pi\) |
0.0823997 | + | 0.996599i | \(0.473742\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.488304 | − | 1.17887i | 0.0529640 | − | 0.127866i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −2.16747 | + | 2.16747i | −0.232377 | + | 0.232377i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −6.15303 | − | 6.15303i | −0.652220 | − | 0.652220i | 0.301307 | − | 0.953527i | \(-0.402577\pi\) |
−0.953527 | + | 0.301307i | \(0.902577\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 3.61044 | + | 1.49549i | 0.378477 | + | 0.156770i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 0.591127 | + | 1.42711i | 0.0612970 | + | 0.147984i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 8.02623 | 0.823474 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 14.3852 | 1.46059 | 0.730296 | − | 0.683131i | \(-0.239382\pi\) | ||||
0.730296 | + | 0.683131i | \(0.239382\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −2.14608 | − | 5.18109i | −0.215689 | − | 0.520719i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 12.1198 | + | 5.02020i | 1.20597 | + | 0.499528i | 0.892923 | − | 0.450210i | \(-0.148651\pi\) |
0.313045 | + | 0.949738i | \(0.398651\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 10.3057 | + | 10.3057i | 1.01545 | + | 1.01545i | 0.999879 | + | 0.0155752i | \(0.00495796\pi\) |
0.0155752 | + | 0.999879i | \(0.495042\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 3.38105 | − | 3.38105i | 0.329957 | − | 0.329957i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 0.576841 | − | 1.39262i | 0.0557653 | − | 0.134629i | −0.893541 | − | 0.448981i | \(-0.851787\pi\) |
0.949307 | + | 0.314352i | \(0.101787\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −11.0738 | + | 4.58693i | −1.06068 | + | 0.439348i | −0.843693 | − | 0.536826i | \(-0.819623\pi\) |
−0.216987 | + | 0.976174i | \(0.569623\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 8.91190i | 0.845880i | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 9.41139i | 0.885349i | 0.896682 | + | 0.442675i | \(0.145970\pi\) | ||||
−0.896682 | + | 0.442675i | \(0.854030\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −6.30402 | + | 2.61121i | −0.587853 | + | 0.243497i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 0.407626 | − | 0.984096i | 0.0376850 | − | 0.0909797i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 2.53988 | − | 2.53988i | 0.232831 | − | 0.232831i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −14.4598 | − | 14.4598i | −1.31453 | − | 1.31453i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 1.44849 | + | 0.599983i | 0.130606 | + | 0.0540986i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 4.14034 | + | 9.99566i | 0.370323 | + | 0.894039i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −16.0219 | −1.42171 | −0.710855 | − | 0.703338i | \(-0.751692\pi\) | ||||
−0.710855 | + | 0.703338i | \(0.751692\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −9.07033 | −0.798598 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −2.18619 | − | 5.27794i | −0.191009 | − | 0.461135i | 0.799142 | − | 0.601142i | \(-0.205288\pi\) |
−0.990151 | + | 0.140007i | \(0.955288\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 20.8739 | + | 8.64627i | 1.81000 | + | 0.749727i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −0.921573 | − | 0.921573i | −0.0793163 | − | 0.0793163i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −8.63573 | + | 8.63573i | −0.737801 | + | 0.737801i | −0.972152 | − | 0.234351i | \(-0.924703\pi\) |
0.234351 | + | 0.972152i | \(0.424703\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 4.05369 | − | 9.78647i | 0.343829 | − | 0.830078i | −0.653492 | − | 0.756933i | \(-0.726697\pi\) |
0.997321 | − | 0.0731441i | \(-0.0233033\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 2.91560 | − | 1.20768i | 0.245538 | − | 0.101705i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | − | 5.97348i | − | 0.499528i | ||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 3.99495i | 0.331763i | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 5.96824 | − | 2.47213i | 0.492252 | − | 0.203897i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 1.10547 | − | 2.66884i | 0.0905637 | − | 0.218640i | −0.872107 | − | 0.489315i | \(-0.837247\pi\) |
0.962671 | + | 0.270675i | \(0.0872468\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −6.40487 | + | 6.40487i | −0.521221 | + | 0.521221i | −0.917940 | − | 0.396719i | \(-0.870149\pi\) |
0.396719 | + | 0.917940i | \(0.370149\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −0.692295 | − | 0.692295i | −0.0559687 | − | 0.0559687i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 1.85995 | + | 0.770416i | 0.149395 | + | 0.0618813i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −2.85724 | − | 6.89798i | −0.228032 | − | 0.550519i | 0.767905 | − | 0.640563i | \(-0.221299\pi\) |
−0.995938 | + | 0.0900446i | \(0.971299\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 6.67005 | 0.528969 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −19.2079 | −1.51379 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −0.958379 | − | 2.31373i | −0.0750661 | − | 0.181225i | 0.881892 | − | 0.471451i | \(-0.156270\pi\) |
−0.956958 | + | 0.290226i | \(0.906270\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −6.75251 | − | 2.79698i | −0.525683 | − | 0.217745i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −3.60896 | − | 3.60896i | −0.279270 | − | 0.279270i | 0.553548 | − | 0.832817i | \(-0.313274\pi\) |
−0.832817 | + | 0.553548i | \(0.813274\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −8.39010 | + | 8.39010i | −0.645392 | + | 0.645392i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 2.35671 | − | 5.68961i | 0.180222 | − | 0.435095i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −2.16959 | + | 0.898673i | −0.164951 | + | 0.0683248i | −0.463631 | − | 0.886028i | \(-0.653454\pi\) |
0.298680 | + | 0.954353i | \(0.403454\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 12.1122i | 0.915593i | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | − | 9.69199i | − | 0.728494i | ||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 2.66481 | − | 1.10380i | 0.199177 | − | 0.0825020i | −0.280865 | − | 0.959747i | \(-0.590621\pi\) |
0.480042 | + | 0.877245i | \(0.340621\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −1.10884 | + | 2.67697i | −0.0824191 | + | 0.198977i | −0.959717 | − | 0.280969i | \(-0.909344\pi\) |
0.877298 | + | 0.479947i | \(0.159344\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −3.70876 | + | 3.70876i | −0.274159 | + | 0.274159i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 8.21296 | + | 8.21296i | 0.603829 | + | 0.603829i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −5.07256 | − | 2.10112i | −0.370942 | − | 0.153649i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −1.40398 | − | 3.38951i | −0.102125 | − | 0.246551i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −8.35300 | −0.604402 | −0.302201 | − | 0.953244i | \(-0.597721\pi\) | ||||
−0.302201 | + | 0.953244i | \(0.597721\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −12.3350 | −0.887894 | −0.443947 | − | 0.896053i | \(-0.646422\pi\) | ||||
−0.443947 | + | 0.896053i | \(0.646422\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −0.531259 | − | 1.28257i | −0.0380443 | − | 0.0918470i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −21.5154 | − | 8.91197i | −1.53291 | − | 0.634952i | −0.552782 | − | 0.833326i | \(-0.686434\pi\) |
−0.980126 | + | 0.198374i | \(0.936434\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 17.0334 | + | 17.0334i | 1.20746 | + | 1.20746i | 0.971846 | + | 0.235616i | \(0.0757109\pi\) |
0.235616 | + | 0.971846i | \(0.424289\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −2.11347 | + | 2.11347i | −0.149073 | + | 0.149073i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −4.30357 | + | 10.3897i | −0.302051 | + | 0.729217i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 1.88781 | − | 0.781958i | 0.131851 | − | 0.0546143i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 5.23550i | 0.363892i | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | − | 34.5360i | − | 2.38891i | ||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 8.86549 | − | 3.67221i | 0.610325 | − | 0.252805i | −0.0560422 | − | 0.998428i | \(-0.517848\pi\) |
0.666368 | + | 0.745623i | \(0.267848\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −5.43213 | + | 13.1143i | −0.372203 | + | 0.898578i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −8.35897 | + | 8.35897i | −0.570077 | + | 0.570077i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 4.00726 | + | 4.00726i | 0.272031 | + | 0.272031i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −10.5976 | − | 4.38966i | −0.716117 | − | 0.296626i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −0.399087 | − | 0.963482i | −0.0268455 | − | 0.0648108i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −6.90976 | −0.462712 | −0.231356 | − | 0.972869i | \(-0.574316\pi\) | ||||
−0.231356 | + | 0.972869i | \(0.574316\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 3.30141 | 0.220094 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −1.65113 | − | 3.98617i | −0.109589 | − | 0.264572i | 0.859565 | − | 0.511026i | \(-0.170734\pi\) |
−0.969154 | + | 0.246454i | \(0.920734\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 7.09073 | + | 2.93708i | 0.468568 | + | 0.194087i | 0.604459 | − | 0.796636i | \(-0.293389\pi\) |
−0.135890 | + | 0.990724i | \(0.543389\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −14.5483 | − | 14.5483i | −0.957209 | − | 0.957209i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −1.49412 | + | 1.49412i | −0.0978831 | + | 0.0978831i | −0.754353 | − | 0.656470i | \(-0.772049\pi\) |
0.656470 | + | 0.754353i | \(0.272049\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 1.57397 | − | 3.79990i | 0.102675 | − | 0.247878i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 0.143625 | − | 0.0594914i | 0.00932945 | − | 0.00386438i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | − | 5.41212i | − | 0.350081i | −0.984561 | − | 0.175041i | \(-0.943994\pi\) | ||
0.984561 | − | 0.175041i | \(-0.0560057\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 19.6684i | 1.26695i | 0.773762 | + | 0.633476i | \(0.218372\pi\) | ||||
−0.773762 | + | 0.633476i | \(0.781628\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −0.923880 | + | 0.382683i | −0.0592669 | + | 0.0245492i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 3.22192 | − | 7.77841i | 0.205841 | − | 0.496944i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 4.63846 | − | 4.63846i | 0.295138 | − | 0.295138i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 3.93293 | + | 3.93293i | 0.249239 | + | 0.249239i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −23.6647 | − | 9.80223i | −1.49370 | − | 0.618711i | −0.521582 | − | 0.853201i | \(-0.674658\pi\) |
−0.972119 | + | 0.234490i | \(0.924658\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 11.2358 | + | 27.1256i | 0.706387 | + | 1.70537i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −1.27600 | −0.0799062 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −9.44245 | −0.589004 | −0.294502 | − | 0.955651i | \(-0.595154\pi\) | ||||
−0.294502 | + | 0.955651i | \(0.595154\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 12.5122 | + | 30.2070i | 0.777468 | + | 1.87697i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 2.83193 | + | 1.17302i | 0.175292 | + | 0.0726084i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 8.38788 | + | 8.38788i | 0.517219 | + | 0.517219i | 0.916729 | − | 0.399510i | \(-0.130820\pi\) |
−0.399510 | + | 0.916729i | \(0.630820\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 6.14694 | − | 6.14694i | 0.377603 | − | 0.377603i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −3.32999 | + | 8.03932i | −0.203792 | + | 0.491998i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 0.0655084 | − | 0.0271345i | 0.00399412 | − | 0.00165442i | −0.380685 | − | 0.924705i | \(-0.624312\pi\) |
0.384680 | + | 0.923050i | \(0.374312\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | − | 14.4877i | − | 0.880062i | −0.897982 | − | 0.440031i | \(-0.854967\pi\) | ||
0.897982 | − | 0.440031i | \(-0.145033\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | − | 3.90791i | − | 0.236517i | ||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 17.1049 | − | 7.08507i | 1.03146 | − | 0.427246i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 8.16981 | − | 19.7237i | 0.490876 | − | 1.18508i | −0.463398 | − | 0.886150i | \(-0.653370\pi\) |
0.954275 | − | 0.298931i | \(-0.0966299\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 1.09226 | − | 1.09226i | 0.0653919 | − | 0.0653919i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 2.76272 | + | 2.76272i | 0.164810 | + | 0.164810i | 0.784694 | − | 0.619884i | \(-0.212820\pi\) |
−0.619884 | + | 0.784694i | \(0.712820\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 5.86879 | + | 2.43093i | 0.348864 | + | 0.144504i | 0.550233 | − | 0.835011i | \(-0.314539\pi\) |
−0.201369 | + | 0.979515i | \(0.564539\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −3.07151 | − | 7.41527i | −0.181940 | − | 0.439243i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 5.75203 | 0.339532 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 16.0415 | 0.943615 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −5.50497 | − | 13.2902i | −0.322707 | − | 0.779083i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 4.51526 | + | 1.87028i | 0.263784 | + | 0.109263i | 0.510656 | − | 0.859785i | \(-0.329403\pi\) |
−0.246872 | + | 0.969048i | \(0.579403\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −8.93187 | − | 8.93187i | −0.520034 | − | 0.520034i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −3.96543 | + | 3.96543i | −0.230098 | + | 0.230098i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −2.13412 | + | 5.15223i | −0.123420 | + | 0.297961i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −30.7440 | + | 12.7346i | −1.77206 | + | 0.734009i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | − | 13.1184i | − | 0.753633i | ||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 6.83578i | 0.391416i | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −8.44200 | + | 3.49679i | −0.481810 | + | 0.199572i | −0.610350 | − | 0.792132i | \(-0.708971\pi\) |
0.128539 | + | 0.991704i | \(0.458971\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 5.57742 | − | 13.4651i | 0.317288 | − | 0.766002i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −20.8439 | + | 20.8439i | −1.18195 | + | 1.18195i | −0.202710 | + | 0.979239i | \(0.564975\pi\) |
−0.979239 | + | 0.202710i | \(0.935025\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 14.1026 | + | 14.1026i | 0.797124 | + | 0.797124i | 0.982641 | − | 0.185517i | \(-0.0593959\pi\) |
−0.185517 | + | 0.982641i | \(0.559396\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −4.41756 | − | 1.82981i | −0.248901 | − | 0.103098i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 1.07307 | + | 2.59063i | 0.0602698 | + | 0.145504i | 0.951145 | − | 0.308743i | \(-0.0999083\pi\) |
−0.890876 | + | 0.454247i | \(0.849908\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 17.1899 | 0.962448 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −1.50736 | −0.0841325 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −2.30735 | − | 5.57043i | −0.128384 | − | 0.309947i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 3.24890 | + | 1.34574i | 0.180217 | + | 0.0746482i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 8.47554 | + | 8.47554i | 0.468698 | + | 0.468698i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 8.18691 | − | 8.18691i | 0.451359 | − | 0.451359i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 1.37795 | − | 3.32667i | 0.0757390 | − | 0.182850i | −0.881475 | − | 0.472230i | \(-0.843449\pi\) |
0.957214 | + | 0.289380i | \(0.0934491\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 8.23352 | − | 3.41044i | 0.451194 | − | 0.186891i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 3.89544i | 0.212830i | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | − | 0.473748i | − | 0.0258067i | −0.999917 | − | 0.0129034i | \(-0.995893\pi\) | ||
0.999917 | − | 0.0129034i | \(-0.00410738\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 8.69499 | − | 3.60158i | 0.472247 | − | 0.195611i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 3.31502 | − | 8.00317i | 0.179518 | − | 0.433396i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −1.40095 | + | 1.40095i | −0.0756440 | + | 0.0756440i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 4.82489 | + | 4.82489i | 0.259763 | + | 0.259763i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 9.36785 | + | 3.88029i | 0.502893 | + | 0.208305i | 0.619684 | − | 0.784852i | \(-0.287261\pi\) |
−0.116791 | + | 0.993156i | \(0.537261\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −2.04231 | − | 4.93057i | −0.109322 | − | 0.263928i | 0.859745 | − | 0.510723i | \(-0.170622\pi\) |
−0.969068 | + | 0.246796i | \(0.920622\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −1.06518 | −0.0568550 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 34.7185 | 1.84788 | 0.923939 | − | 0.382539i | \(-0.124950\pi\) | ||||
0.923939 | + | 0.382539i | \(0.124950\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 7.07969 | + | 17.0919i | 0.375751 | + | 0.907144i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −3.31851 | − | 1.37457i | −0.175634 | − | 0.0727502i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 4.06394 | + | 4.06394i | 0.214486 | + | 0.214486i | 0.806170 | − | 0.591684i | \(-0.201537\pi\) |
−0.591684 | + | 0.806170i | \(0.701537\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 13.3825 | − | 13.3825i | 0.704343 | − | 0.704343i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −7.82561 | + | 18.8927i | −0.410738 | + | 0.991610i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −13.8118 | + | 5.72104i | −0.722944 | + | 0.299453i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | − | 30.2747i | − | 1.58033i | −0.612896 | − | 0.790164i | \(-0.709996\pi\) | ||
0.612896 | − | 0.790164i | \(-0.290004\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | − | 1.56783i | − | 0.0816180i | ||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 22.6082 | − | 9.36463i | 1.17376 | − | 0.486188i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 8.46231 | − | 20.4298i | 0.438162 | − | 1.05782i | −0.538421 | − | 0.842676i | \(-0.680979\pi\) |
0.976583 | − | 0.215141i | \(-0.0690210\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 7.65035 | − | 7.65035i | 0.395062 | − | 0.395062i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 2.30874 | + | 2.30874i | 0.118906 | + | 0.118906i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −21.3128 | − | 8.82807i | −1.09477 | − | 0.453467i | −0.239100 | − | 0.970995i | \(-0.576853\pi\) |
−0.855667 | + | 0.517527i | \(0.826853\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 6.13130 | + | 14.8023i | 0.314116 | + | 0.758343i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 25.5734 | 1.30674 | 0.653370 | − | 0.757039i | \(-0.273355\pi\) | ||||
0.653370 | + | 0.757039i | \(0.273355\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −26.8147 | −1.36660 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 3.47106 | + | 8.37989i | 0.176444 | + | 0.425974i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −1.19642 | − | 0.495572i | −0.0606608 | − | 0.0251265i | 0.352147 | − | 0.935945i | \(-0.385452\pi\) |
−0.412808 | + | 0.910818i | \(0.635452\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 3.62451 | + | 3.62451i | 0.183299 | + | 0.183299i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −4.03956 | + | 4.03956i | −0.203769 | + | 0.203769i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 0.0775352 | − | 0.187187i | 0.00390122 | − | 0.00941838i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 5.47211 | − | 2.26662i | 0.274637 | − | 0.113758i | −0.241114 | − | 0.970497i | \(-0.577513\pi\) |
0.515751 | + | 0.856738i | \(0.327513\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | − | 22.5938i | − | 1.13110i | ||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | − | 33.2794i | − | 1.66189i | −0.556352 | − | 0.830947i | \(-0.687799\pi\) | ||
0.556352 | − | 0.830947i | \(-0.312201\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 1.52012 | − | 0.629655i | 0.0757227 | − | 0.0313654i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −0.498752 | + | 1.20409i | −0.0247832 | + | 0.0598318i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 35.3395 | − | 35.3395i | 1.75172 | − | 1.75172i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 7.40530 | + | 7.40530i | 0.366168 | + | 0.366168i | 0.866078 | − | 0.499909i | \(-0.166633\pi\) |
−0.499909 | + | 0.866078i | \(0.666633\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 11.2831 | + | 4.67363i | 0.556556 | + | 0.230533i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −13.6074 | − | 32.8511i | −0.669575 | − | 1.61650i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 7.24896 | 0.355838 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −10.5928 | −0.518732 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 6.43037 | + | 15.5243i | 0.314144 | + | 0.758411i | 0.999543 | + | 0.0302425i | \(0.00962796\pi\) |
−0.685399 | + | 0.728168i | \(0.740372\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 5.60807 | + | 2.32294i | 0.273321 | + | 0.113213i | 0.515134 | − | 0.857110i | \(-0.327742\pi\) |
−0.241813 | + | 0.970323i | \(0.577742\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −2.23150 | − | 2.23150i | −0.108499 | − | 0.108499i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 2.28555 | − | 2.28555i | 0.110865 | − | 0.110865i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −7.36385 | + | 17.7779i | −0.356362 | + | 0.860334i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −5.51878 | + | 2.28595i | −0.266449 | + | 0.110367i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | − | 0.297166i | − | 0.0143140i | −0.999974 | − | 0.00715698i | \(-0.997722\pi\) | ||
0.999974 | − | 0.00715698i | \(-0.00227816\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 15.4119i | − | 0.740649i | −0.928902 | − | 0.370325i | \(-0.879246\pi\) | ||
0.928902 | − | 0.370325i | \(-0.120754\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 3.69086 | − | 1.52880i | 0.176963 | − | 0.0733005i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −12.3386 | + | 29.7879i | −0.590233 | + | 1.42495i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 3.15252 | − | 3.15252i | 0.150462 | − | 0.150462i | −0.627863 | − | 0.778324i | \(-0.716070\pi\) |
0.778324 | + | 0.627863i | \(0.216070\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −4.56789 | − | 4.56789i | −0.217519 | − | 0.217519i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −2.80647 | − | 1.16248i | −0.133339 | − | 0.0552310i | 0.315016 | − | 0.949086i | \(-0.397990\pi\) |
−0.448355 | + | 0.893855i | \(0.647990\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 4.33998 | + | 10.4776i | 0.205735 | + | 0.496688i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −2.88874 | −0.136632 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −3.57715 | −0.168816 | −0.0844080 | − | 0.996431i | \(-0.526900\pi\) | ||||
−0.0844080 | + | 0.996431i | \(0.526900\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −3.36469 | − | 8.12307i | −0.158437 | − | 0.382500i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 8.36836 | + | 3.46629i | 0.393180 | + | 0.162860i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −3.60142 | − | 3.60142i | −0.168837 | − | 0.168837i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −8.97857 | + | 8.97857i | −0.420000 | + | 0.420000i | −0.885204 | − | 0.465204i | \(-0.845981\pi\) |
0.465204 | + | 0.885204i | \(0.345981\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −0.374667 | + | 0.904527i | −0.0174880 | + | 0.0422197i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −26.0500 | + | 10.7903i | −1.21327 | + | 0.502553i | −0.895264 | − | 0.445536i | \(-0.853013\pi\) |
−0.318006 | + | 0.948089i | \(0.603013\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | − | 10.9782i | − | 0.510199i | −0.966915 | − | 0.255100i | \(-0.917892\pi\) | ||
0.966915 | − | 0.255100i | \(-0.0821083\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | − | 2.01319i | − | 0.0933596i | ||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −38.5388 | + | 15.9633i | −1.78336 | + | 0.738694i | −0.791535 | + | 0.611123i | \(0.790718\pi\) |
−0.991829 | + | 0.127571i | \(0.959282\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −4.19636 | + | 10.1309i | −0.193770 | + | 0.467802i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −5.27948 | + | 5.27948i | −0.243266 | + | 0.243266i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 35.9678 | + | 35.9678i | 1.65380 | + | 1.65380i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 18.7837 | + | 7.78047i | 0.861856 | + | 0.356992i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −2.55252 | − | 6.16232i | −0.116872 | − | 0.282153i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −20.8426 | −0.952324 | −0.476162 | − | 0.879357i | \(-0.657973\pi\) | ||||
−0.476162 | + | 0.879357i | \(0.657973\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 9.49276 | 0.432833 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 7.35055 | + | 17.7458i | 0.334461 | + | 0.807461i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −17.3211 | − | 7.17462i | −0.786510 | − | 0.325783i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 16.3086 | + | 16.3086i | 0.739014 | + | 0.739014i | 0.972387 | − | 0.233373i | \(-0.0749763\pi\) |
−0.233373 | + | 0.972387i | \(0.574976\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −1.77085 | + | 1.77085i | −0.0800808 | + | 0.0800808i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 2.22643 | − | 5.37508i | 0.100477 | − | 0.242574i | −0.865645 | − | 0.500658i | \(-0.833091\pi\) |
0.966122 | + | 0.258084i | \(0.0830913\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 2.77261 | − | 1.14845i | 0.124872 | − | 0.0517237i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 7.30887i | 0.328509i | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 52.0778i | 2.33601i | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −9.39859 | + | 3.89302i | −0.420739 | + | 0.174276i | −0.583000 | − | 0.812472i | \(-0.698121\pi\) |
0.162261 | + | 0.986748i | \(0.448121\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −1.95316 | + | 4.71534i | −0.0872606 | + | 0.210666i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −21.5760 | + | 21.5760i | −0.962027 | + | 0.962027i | −0.999305 | − | 0.0372777i | \(-0.988131\pi\) |
0.0372777 | + | 0.999305i | \(0.488131\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −12.0896 | − | 12.0896i | −0.537979 | − | 0.537979i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 10.9622 | + | 4.54069i | 0.486848 | + | 0.201659i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 1.30560 | + | 3.15200i | 0.0578697 | + | 0.139710i | 0.950170 | − | 0.311733i | \(-0.100909\pi\) |
−0.892300 | + | 0.451443i | \(0.850909\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −42.0836 | −1.86167 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −6.15839 | −0.271899 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −7.26906 | − | 17.5491i | −0.320313 | − | 0.773304i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −16.3506 | − | 6.77264i | −0.719099 | − | 0.297860i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 1.66053 | + | 1.66053i | 0.0728892 | + | 0.0728892i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 7.58009 | − | 7.58009i | 0.332090 | − | 0.332090i | −0.521290 | − | 0.853380i | \(-0.674549\pi\) |
0.853380 | + | 0.521290i | \(0.174549\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 5.67736 | − | 13.7064i | 0.248254 | − | 0.599337i | −0.749802 | − | 0.661662i | \(-0.769851\pi\) |
0.998056 | + | 0.0623246i | \(0.0198514\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 11.1902 | − | 4.63512i | 0.488379 | − | 0.202293i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | − | 1.51233i | − | 0.0658782i | ||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | − | 4.41042i | − | 0.191758i | ||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −8.95423 | + | 3.70896i | −0.388580 | + | 0.160955i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 0.639089 | − | 1.54290i | 0.0276820 | − | 0.0668303i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −1.38914 | + | 1.38914i | −0.0600578 | + | 0.0600578i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −2.03956 | − | 2.03956i | −0.0880135 | − | 0.0880135i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −33.4697 | − | 13.8636i | −1.44164 | − | 0.597148i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −14.0508 | − | 33.9216i | −0.604090 | − | 1.45840i | −0.869336 | − | 0.494221i | \(-0.835453\pi\) |
0.265247 | − | 0.964181i | \(-0.414547\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 2.89753 | 0.124345 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 15.6217 | 0.669158 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −7.85438 | − | 18.9622i | −0.335829 | − | 0.810763i | −0.998107 | − | 0.0615046i | \(-0.980410\pi\) |
0.662278 | − | 0.749258i | \(-0.269590\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 4.84573 | + | 2.00717i | 0.206811 | + | 0.0856637i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 13.3481 | + | 13.3481i | 0.568648 | + | 0.568648i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0.403294 | − | 0.403294i | 0.0171498 | − | 0.0171498i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 4.44482 | − | 10.7308i | 0.188672 | − | 0.455495i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −20.1683 | + | 8.35400i | −0.854560 | + | 0.353970i | −0.766578 | − | 0.642152i | \(-0.778042\pi\) |
−0.0879825 | + | 0.996122i | \(0.528042\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 9.66152i | 0.408639i | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 5.49050i | 0.231809i | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 21.3521 | − | 8.84433i | 0.899884 | − | 0.372744i | 0.115708 | − | 0.993283i | \(-0.463086\pi\) |
0.784175 | + | 0.620539i | \(0.213086\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 4.69395 | − | 11.3322i | 0.197476 | − | 0.476749i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −2.59422 | + | 2.59422i | −0.108947 | + | 0.108947i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −7.60582 | − | 7.60582i | −0.318853 | − | 0.318853i | 0.529474 | − | 0.848326i | \(-0.322389\pi\) |
−0.848326 | + | 0.529474i | \(0.822389\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −0.616329 | − | 0.255292i | −0.0257926 | − | 0.0106836i | 0.369750 | − | 0.929131i | \(-0.379443\pi\) |
−0.395542 | + | 0.918448i | \(0.629443\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 3.19656 | + | 7.71717i | 0.133538 | + | 0.322389i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −17.2845 | −0.720814 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −8.78481 | −0.365716 | −0.182858 | − | 0.983139i | \(-0.558535\pi\) | ||||
−0.182858 | + | 0.983139i | \(0.558535\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 4.72041 | + | 11.3961i | 0.196173 | + | 0.473605i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 18.8525 | + | 7.80896i | 0.782133 | + | 0.323970i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −26.4496 | − | 26.4496i | −1.09543 | − | 1.09543i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −0.981639 | + | 0.981639i | −0.0405858 | + | 0.0405858i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 10.5345 | − | 25.4324i | 0.434803 | − | 1.04971i | −0.542915 | − | 0.839788i | \(-0.682679\pi\) |
0.977718 | − | 0.209921i | \(-0.0673206\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 8.78867 | − | 3.64039i | 0.362131 | − | 0.150000i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 23.2881i | 0.957944i | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 12.6478i | 0.519384i | 0.965691 | + | 0.259692i | \(0.0836211\pi\) | ||||
−0.965691 | + | 0.259692i | \(0.916379\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −4.32502 | + | 1.79148i | −0.177309 | + | 0.0734436i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 9.21839 | − | 22.2552i | 0.377283 | − | 0.910843i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −10.2749 | + | 10.2749i | −0.419820 | + | 0.419820i | −0.885142 | − | 0.465322i | \(-0.845939\pi\) |
0.465322 | + | 0.885142i | \(0.345939\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −34.4571 | − | 34.4571i | −1.40554 | − | 1.40554i | −0.780983 | − | 0.624552i | \(-0.785281\pi\) |
−0.624552 | − | 0.780983i | \(-0.714719\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 2.76138 | + | 1.14380i | 0.112452 | + | 0.0465792i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 10.1991 | + | 24.6229i | 0.414653 | + | 1.00106i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −5.97427 | −0.242488 | −0.121244 | − | 0.992623i | \(-0.538688\pi\) | ||||
−0.121244 | + | 0.992623i | \(0.538688\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 11.2458 | 0.455702 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −1.28640 | − | 3.10563i | −0.0520420 | − | 0.125641i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 1.37874 | + | 0.571093i | 0.0556868 | + | 0.0230662i | 0.410353 | − | 0.911927i | \(-0.365405\pi\) |
−0.354666 | + | 0.934993i | \(0.615405\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −1.44487 | − | 1.44487i | −0.0582628 | − | 0.0582628i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 20.4851 | − | 20.4851i | 0.824698 | − | 0.824698i | −0.162080 | − | 0.986778i | \(-0.551820\pi\) |
0.986778 | + | 0.162080i | \(0.0518203\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −13.2969 | + | 32.1015i | −0.534447 | + | 1.29027i | 0.394105 | + | 0.919065i | \(0.371055\pi\) |
−0.928552 | + | 0.371203i | \(0.878945\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 4.83697 | − | 2.00354i | 0.194101 | − | 0.0803992i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 31.9246i | 1.27903i | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 2.40633i | 0.0962532i | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −31.9071 | + | 13.2164i | −1.27425 | + | 0.527811i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 3.33900 | − | 8.06106i | 0.133135 | − | 0.321415i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −2.04327 | + | 2.04327i | −0.0813412 | + | 0.0813412i | −0.746607 | − | 0.665266i | \(-0.768318\pi\) |
0.665266 | + | 0.746607i | \(0.268318\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −6.78535 | − | 6.78535i | −0.269694 | − | 0.269694i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 19.2918 | + | 7.99093i | 0.765572 | + | 0.317110i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −2.63325 | − | 6.35724i | −0.104333 | − | 0.251883i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 14.1948 | 0.561539 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −20.3790 | −0.804922 | −0.402461 | − | 0.915437i | \(-0.631845\pi\) | ||||
−0.402461 | + | 0.915437i | \(0.631845\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −4.75816 | − | 11.4872i | −0.187644 | − | 0.453012i | 0.801861 | − | 0.597510i | \(-0.203843\pi\) |
−0.989505 | + | 0.144498i | \(0.953843\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 10.9215 | + | 4.52384i | 0.430034 | + | 0.178126i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −8.97597 | − | 8.97597i | −0.352882 | − | 0.352882i | 0.508299 | − | 0.861181i | \(-0.330274\pi\) |
−0.861181 | + | 0.508299i | \(0.830274\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −38.4329 | + | 38.4329i | −1.50862 | + | 1.50862i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 2.16872 | − | 5.23574i | 0.0849987 | − | 0.205205i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 42.2027 | − | 17.4809i | 1.65152 | − | 0.684082i | 0.654136 | − | 0.756377i | \(-0.273032\pi\) |
0.997383 | + | 0.0722952i | \(0.0230324\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 7.44549i | 0.290919i | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 11.4707i | 0.447516i | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −5.50356 | + | 2.27965i | −0.214388 | + | 0.0888025i | −0.487293 | − | 0.873239i | \(-0.662016\pi\) |
0.272905 | + | 0.962041i | \(0.412016\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −17.5581 | + | 42.3890i | −0.682931 | + | 1.64874i | 0.0756260 | + | 0.997136i | \(0.475905\pi\) |
−0.758557 | + | 0.651606i | \(0.774095\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −0.737417 | + | 0.737417i | −0.0286389 | + | 0.0286389i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −20.8218 | − | 20.8218i | −0.807436 | − | 0.807436i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −14.8266 | − | 6.14136i | −0.574087 | − | 0.237795i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 2.64425 | + | 6.38378i | 0.102233 | + | 0.246811i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 29.4137 | 1.13550 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −14.4979 | −0.558853 | −0.279427 | − | 0.960167i | \(-0.590144\pi\) | ||||
−0.279427 | + | 0.960167i | \(0.590144\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −1.26339 | − | 3.05010i | −0.0486281 | − | 0.117399i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −11.0022 | − | 4.55726i | −0.422849 | − | 0.175150i | 0.161104 | − | 0.986937i | \(-0.448495\pi\) |
−0.583953 | + | 0.811788i | \(0.698495\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −37.3183 | − | 37.3183i | −1.43215 | − | 1.43215i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −3.05088 | + | 3.05088i | −0.116910 | + | 0.116910i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 3.03396 | − | 7.32464i | 0.116091 | − | 0.280269i | −0.855144 | − | 0.518390i | \(-0.826531\pi\) |
0.971236 | + | 0.238121i | \(0.0765314\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 14.7053 | − | 6.09114i | 0.561861 | − | 0.232730i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | − | 7.67495i | − | 0.292818i | ||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | − | 7.10479i | − | 0.270671i | ||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 21.8871 | − | 9.06592i | 0.832623 | − | 0.344884i | 0.0746825 | − | 0.997207i | \(-0.476206\pi\) |
0.757941 | + | 0.652324i | \(0.226206\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −7.87349 | + | 19.0083i | −0.299089 | + | 0.722065i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −9.76203 | + | 9.76203i | −0.370295 | + | 0.370295i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −1.08540 | − | 1.08540i | −0.0411125 | − | 0.0411125i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 1.95216 | + | 0.808612i | 0.0738376 | + | 0.0305845i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 18.8146 | + | 45.4224i | 0.710617 | + | 1.71558i | 0.698453 | + | 0.715656i | \(0.253872\pi\) |
0.0121647 | + | 0.999926i | \(0.496128\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 54.8829 | 2.06995 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −4.11299 | −0.154904 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −18.4180 | − | 44.4650i | −0.692681 | − | 1.67228i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −22.5420 | − | 9.33718i | −0.846581 | − | 0.350665i | −0.0831359 | − | 0.996538i | \(-0.526494\pi\) |
−0.763445 | + | 0.645873i | \(0.776494\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −0.109926 | − | 0.109926i | −0.00412254 | − | 0.00412254i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −5.71852 | + | 5.71852i | −0.214160 | + | 0.214160i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −2.97928 | + | 7.19263i | −0.111419 | + | 0.268989i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −5.00015 | + | 2.07113i | −0.186734 | + | 0.0773478i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 38.2799i | 1.42760i | 0.700350 | + | 0.713800i | \(0.253027\pi\) | ||||
−0.700350 | + | 0.713800i | \(0.746973\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | − | 53.4707i | − | 1.99135i | ||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 18.1712 | − | 7.52676i | 0.675795 | − | 0.279923i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −3.87263 | + | 9.34936i | −0.143826 | + | 0.347226i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 2.75063 | − | 2.75063i | 0.102015 | − | 0.102015i | −0.654257 | − | 0.756272i | \(-0.727019\pi\) |
0.756272 | + | 0.654257i | \(0.227019\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0.707107 | + | 0.707107i | 0.0261891 | + | 0.0261891i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 8.20436 | + | 3.39836i | 0.303449 | + | 0.125693i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −6.75290 | − | 16.3029i | −0.249424 | − | 0.602163i | 0.748731 | − | 0.662874i | \(-0.230663\pi\) |
−0.998155 | + | 0.0607106i | \(0.980663\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −8.41929 | −0.310550 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 16.7617 | 0.617424 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −9.62421 | − | 23.2349i | −0.354032 | − | 0.854709i | −0.996114 | − | 0.0880732i | \(-0.971929\pi\) |
0.642082 | − | 0.766636i | \(-0.278071\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −6.06045 | − | 2.51032i | −0.222636 | − | 0.0922189i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 32.2711 | + | 32.2711i | 1.18391 | + | 1.18391i | 0.978722 | + | 0.205192i | \(0.0657817\pi\) |
0.205192 | + | 0.978722i | \(0.434218\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −2.66218 | + | 2.66218i | −0.0975347 | + | 0.0975347i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 2.12849 | − | 5.13862i | 0.0778773 | − | 0.188012i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −5.10921 | + | 2.11630i | −0.186687 | + | 0.0773281i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 2.67256i | 0.0975231i | 0.998810 | + | 0.0487616i | \(0.0155274\pi\) | ||||
−0.998810 | + | 0.0487616i | \(0.984473\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 25.6145i | 0.933443i | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 10.9065 | − | 4.51762i | 0.396928 | − | 0.164413i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −9.38519 | + | 22.6579i | −0.341111 | + | 0.823514i | 0.656493 | + | 0.754332i | \(0.272039\pi\) |
−0.997604 | + | 0.0691822i | \(0.977961\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 20.7610 | − | 20.7610i | 0.753577 | − | 0.753577i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −12.8473 | − | 12.8473i | −0.465714 | − | 0.465714i | 0.434809 | − | 0.900523i | \(-0.356816\pi\) |
−0.900523 | + | 0.434809i | \(0.856816\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 40.6275 | + | 16.8285i | 1.47081 | + | 0.609231i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 0.488304 | + | 1.17887i | 0.0176547 | + | 0.0426222i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −10.3237 | −0.372767 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 15.9481 | 0.575102 | 0.287551 | − | 0.957765i | \(-0.407159\pi\) | ||||
0.287551 | + | 0.957765i | \(0.407159\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 3.61347 | + | 8.72369i | 0.130136 | + | 0.314176i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 4.77420 | + | 1.97754i | 0.171716 | + | 0.0711271i | 0.466885 | − | 0.884318i | \(-0.345376\pi\) |
−0.295169 | + | 0.955445i | \(0.595376\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 3.60599 | + | 3.60599i | 0.129531 | + | 0.129531i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 23.1194 | − | 23.1194i | 0.829406 | − | 0.829406i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 3.69493 | − | 8.92034i | 0.132385 | − | 0.319604i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 73.5447 | − | 30.4632i | 2.63164 | − | 1.09006i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | − | 3.06526i | − | 0.109543i | ||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 9.73086i | 0.347309i | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 14.1033 | − | 5.84179i | 0.502730 | − | 0.208237i | −0.116882 | − | 0.993146i | \(-0.537290\pi\) |
0.619612 | + | 0.784908i | \(0.287290\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 4.53949 | − | 10.9593i | 0.161610 | − | 0.390161i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 24.4152 | − | 24.4152i | 0.868106 | − | 0.868106i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 3.95049 | + | 3.95049i | 0.140286 | + | 0.140286i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −8.03136 | − | 3.32670i | −0.284843 | − | 0.117986i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −15.7714 | − | 38.0755i | −0.558652 | − | 1.34870i | −0.910834 | − | 0.412773i | \(-0.864560\pi\) |
0.352182 | − | 0.935931i | \(-0.385440\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −3.08972 | −0.109306 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 8.70170 | 0.307459 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 24.6171 | + | 59.4308i | 0.868717 | + | 2.09727i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 23.1281 | + | 9.57997i | 0.815158 | + | 0.337650i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −0.0501380 | − | 0.0501380i | −0.00176494 | − | 0.00176494i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −22.3087 | + | 22.3087i | −0.784333 | + | 0.784333i | −0.980559 | − | 0.196226i | \(-0.937131\pi\) |
0.196226 | + | 0.980559i | \(0.437131\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 17.0179 | − | 41.0848i | 0.597579 | − | 1.44268i | −0.278462 | − | 0.960447i | \(-0.589825\pi\) |
0.876041 | − | 0.482236i | \(-0.160175\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −13.3848 | + | 5.54419i | −0.469427 | + | 0.194443i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 3.26394i | 0.114331i | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 55.8586i | 1.95425i | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −3.61044 | + | 1.49549i | −0.126159 | + | 0.0522567i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 4.17316 | − | 10.0749i | 0.145644 | − | 0.351616i | −0.834176 | − | 0.551499i | \(-0.814056\pi\) |
0.979820 | + | 0.199883i | \(0.0640561\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 21.0647 | − | 21.0647i | 0.734269 | − | 0.734269i | −0.237194 | − | 0.971462i | \(-0.576228\pi\) |
0.971462 | + | 0.237194i | \(0.0762276\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −13.0915 | − | 13.0915i | −0.455788 | − | 0.455788i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 51.5584 | + | 21.3562i | 1.79286 | + | 0.742627i | 0.989020 | + | 0.147782i | \(0.0472134\pi\) |
0.803840 | + | 0.594845i | \(0.202787\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 12.1450 | + | 29.3206i | 0.421813 | + | 1.01835i | 0.981812 | + | 0.189853i | \(0.0608013\pi\) |
−0.560000 | + | 0.828493i | \(0.689199\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −21.3487 | −0.740580 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −6.32466 | −0.219136 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 2.54555 | + | 6.14550i | 0.0880924 | + | 0.212674i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −1.42711 | − | 0.591127i | −0.0493280 | − | 0.0204323i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −21.1653 | − | 21.1653i | −0.730706 | − | 0.730706i | 0.240054 | − | 0.970760i | \(-0.422835\pi\) |
−0.970760 | + | 0.240054i | \(0.922835\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 13.8623 | − | 13.8623i | 0.478009 | − | 0.478009i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 1.49517 | − | 3.60966i | 0.0514964 | − | 0.124323i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 14.2870 | − | 5.91788i | 0.491489 | − | 0.203581i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 75.0241i | 2.57786i | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | − | 6.35234i | − | 0.218012i | ||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −43.1066 | + | 17.8553i | −1.47767 | + | 0.612073i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 6.84996 | − | 16.5373i | 0.234538 | − | 0.566225i | −0.762163 | − | 0.647385i | \(-0.775863\pi\) |
0.996701 | + | 0.0811601i | \(0.0258625\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −5.67540 | + | 5.67540i | −0.194095 | + | 0.194095i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −33.6370 | − | 33.6370i | −1.14902 | − | 1.14902i | −0.986746 | − | 0.162272i | \(-0.948118\pi\) |
−0.162272 | − | 0.986746i | \(-0.551882\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −35.7350 | − | 14.8019i | −1.21926 | − | 0.505035i | −0.322088 | − | 0.946710i | \(-0.604385\pi\) |
−0.897175 | + | 0.441674i | \(0.854385\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −2.20121 | − | 5.31418i | −0.0750169 | − | 0.181107i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −44.4296 | −1.51240 | −0.756201 | − | 0.654340i | \(-0.772947\pi\) | ||||
−0.756201 | + | 0.654340i | \(0.772947\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 3.06060 | 0.104064 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −6.13880 | − | 14.8204i | −0.208485 | − | 0.503326i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −0.805445 | − | 0.333626i | −0.0273228 | − | 0.0113175i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 2.25122 | + | 2.25122i | 0.0762798 | + | 0.0762798i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −10.1718 | + | 10.1718i | −0.344265 | + | 0.344265i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 15.1900 | − | 36.6719i | 0.513516 | − | 1.23974i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 31.7336 | − | 13.1445i | 1.07157 | − | 0.443857i | 0.224023 | − | 0.974584i | \(-0.428081\pi\) |
0.847543 | + | 0.530727i | \(0.178081\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | − | 4.88728i | − | 0.164844i | ||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | − | 42.6814i | − | 1.43797i | −0.695023 | − | 0.718987i | \(-0.744606\pi\) | ||
0.695023 | − | 0.718987i | \(-0.255394\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −22.4520 | + | 9.29994i | −0.755571 | + | 0.312968i | −0.727012 | − | 0.686624i | \(-0.759092\pi\) |
−0.0285587 | + | 0.999592i | \(0.509092\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −4.83389 | + | 11.6700i | −0.162490 | + | 0.392284i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 25.1413 | − | 25.1413i | 0.844161 | − | 0.844161i | −0.145236 | − | 0.989397i | \(-0.546394\pi\) |
0.989397 | + | 0.145236i | \(0.0463941\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 41.5643 | + | 41.5643i | 1.39402 | + | 1.39402i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 5.18109 | + | 2.14608i | 0.173573 | + | 0.0718963i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −7.43737 | − | 17.9554i | −0.248882 | − | 0.600855i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −3.75920 | −0.125656 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 5.57674 | 0.186202 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 1.81196 | + | 4.37445i | 0.0604321 | + | 0.145896i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −6.03324 | − | 2.49905i | −0.200996 | − | 0.0832554i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 23.5304 | + | 23.5304i | 0.783044 | + | 0.783044i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 2.67028 | − | 2.67028i | 0.0887632 | − | 0.0887632i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −14.9664 | + | 36.1321i | −0.496951 | + | 1.19975i | 0.454167 | + | 0.890917i | \(0.349937\pi\) |
−0.951118 | + | 0.308829i | \(0.900063\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −12.1198 | + | 5.02020i | −0.401989 | + | 0.166509i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | − | 23.3974i | − | 0.775190i | −0.921830 | − | 0.387595i | \(-0.873306\pi\) | ||
0.921830 | − | 0.387595i | \(-0.126694\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | − | 31.1915i | − | 1.03229i | ||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 6.31544 | − | 2.61594i | 0.208782 | − | 0.0864803i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −8.02067 | + | 19.3636i | −0.264866 | + | 0.639442i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −20.8473 | + | 20.8473i | −0.687689 | + | 0.687689i | −0.961721 | − | 0.274032i | \(-0.911643\pi\) |
0.274032 | + | 0.961721i | \(0.411643\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 6.46123 | + | 6.46123i | 0.212905 | + | 0.212905i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 13.9691 | + | 5.78618i | 0.459798 | + | 0.190455i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 11.2592 | + | 27.1822i | 0.370202 | + | 0.893746i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −14.5745 | −0.478690 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 55.9215 | 1.83472 | 0.917362 | − | 0.398055i | \(-0.130315\pi\) | ||||
0.917362 | + | 0.398055i | \(0.130315\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −15.2243 | − | 36.7547i | −0.498956 | − | 1.20459i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 27.2339 | + | 11.2806i | 0.891596 | + | 0.369311i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 5.05989 | + | 5.05989i | 0.165476 | + | 0.165476i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 31.6178 | − | 31.6178i | 1.03291 | − | 1.03291i | 0.0334692 | − | 0.999440i | \(-0.489344\pi\) |
0.999440 | − | 0.0334692i | \(-0.0106556\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 7.63226 | − | 18.4259i | 0.249069 | − | 0.601306i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 23.4212 | − | 9.70137i | 0.763509 | − | 0.316256i | 0.0332688 | − | 0.999446i | \(-0.489408\pi\) |
0.730240 | + | 0.683191i | \(0.239408\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 8.20837i | 0.267301i | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 4.78153i | 0.155543i | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −30.2016 | + | 12.5099i | −0.981419 | + | 0.406517i | −0.814951 | − | 0.579530i | \(-0.803236\pi\) |
−0.166468 | + | 0.986047i | \(0.553236\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −4.67577 | + | 11.2883i | −0.151782 | + | 0.366434i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 1.98278 | − | 1.98278i | 0.0642961 | − | 0.0642961i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −17.7752 | − | 17.7752i | −0.575795 | − | 0.575795i | 0.357947 | − | 0.933742i | \(-0.383477\pi\) |
−0.933742 | + | 0.357947i | \(0.883477\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 10.0578 | + | 4.16607i | 0.325462 | + | 0.134811i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −6.57828 | − | 15.8814i | −0.212646 | − | 0.513372i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 44.8060 | 1.44686 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −28.6139 | −0.923030 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 0.576841 | + | 1.39262i | 0.0185884 | + | 0.0448765i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 14.8525 | + | 6.15211i | 0.478119 | + | 0.198043i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −5.23073 | − | 5.23073i | −0.168209 | − | 0.168209i | 0.617983 | − | 0.786192i | \(-0.287950\pi\) |
−0.786192 | + | 0.617983i | \(0.787950\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −4.26342 | + | 4.26342i | −0.136961 | + | 0.136961i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −6.01158 | + | 14.5132i | −0.192921 | + | 0.465752i | −0.990509 | − | 0.137451i | \(-0.956109\pi\) |
0.797588 | + | 0.603203i | \(0.206109\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −35.9044 | + | 14.8721i | −1.15104 | + | 0.476778i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | − | 3.51659i | − | 0.112621i | ||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 48.6725i | 1.55717i | 0.627539 | + | 0.778585i | \(0.284062\pi\) | ||||
−0.627539 | + | 0.778585i | \(0.715938\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 45.0842 | − | 18.6745i | 1.44090 | − | 0.596840i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 4.58693 | − | 11.0738i | 0.146449 | − | 0.353560i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −7.17484 | + | 7.17484i | −0.228842 | + | 0.228842i | −0.812209 | − | 0.583367i | \(-0.801735\pi\) |
0.583367 | + | 0.812209i | \(0.301735\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 21.4617 | + | 21.4617i | 0.683826 | + | 0.683826i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −10.6967 | − | 4.43072i | −0.340480 | − | 0.141031i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −18.1727 | − | 43.8729i | −0.577860 | − | 1.39508i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 20.8957 | 0.663774 | 0.331887 | − | 0.943319i | \(-0.392315\pi\) | ||||
0.331887 | + | 0.943319i | \(0.392315\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −3.60076 | −0.114267 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −12.0143 | − | 29.0051i | −0.380880 | − | 0.919525i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −48.3465 | − | 20.0258i | −1.53115 | − | 0.634223i | −0.551363 | − | 0.834266i | \(-0.685892\pi\) |
−0.979787 | + | 0.200042i | \(0.935892\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −6.30167 | − | 6.30167i | −0.199376 | − | 0.199376i |
(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 | 384.2.n.a.241.2 | 32 | ||
3.2 | odd | 2 | 1152.2.v.c.1009.5 | 32 | |||
4.3 | odd | 2 | 96.2.n.a.37.4 | yes | 32 | ||
8.3 | odd | 2 | 768.2.n.a.481.3 | 32 | |||
8.5 | even | 2 | 768.2.n.b.481.7 | 32 | |||
12.11 | even | 2 | 288.2.v.d.37.5 | 32 | |||
32.3 | odd | 8 | 768.2.n.a.289.3 | 32 | |||
32.13 | even | 8 | inner | 384.2.n.a.145.2 | 32 | ||
32.19 | odd | 8 | 96.2.n.a.13.4 | ✓ | 32 | ||
32.29 | even | 8 | 768.2.n.b.289.7 | 32 | |||
96.77 | odd | 8 | 1152.2.v.c.145.5 | 32 | |||
96.83 | even | 8 | 288.2.v.d.109.5 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
96.2.n.a.13.4 | ✓ | 32 | 32.19 | odd | 8 | ||
96.2.n.a.37.4 | yes | 32 | 4.3 | odd | 2 | ||
288.2.v.d.37.5 | 32 | 12.11 | even | 2 | |||
288.2.v.d.109.5 | 32 | 96.83 | even | 8 | |||
384.2.n.a.145.2 | 32 | 32.13 | even | 8 | inner | ||
384.2.n.a.241.2 | 32 | 1.1 | even | 1 | trivial | ||
768.2.n.a.289.3 | 32 | 32.3 | odd | 8 | |||
768.2.n.a.481.3 | 32 | 8.3 | odd | 2 | |||
768.2.n.b.289.7 | 32 | 32.29 | even | 8 | |||
768.2.n.b.481.7 | 32 | 8.5 | even | 2 | |||
1152.2.v.c.145.5 | 32 | 96.77 | odd | 8 | |||
1152.2.v.c.1009.5 | 32 | 3.2 | odd | 2 |