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 | 145.1 | ||
Character | \(\chi\) | \(=\) | 384.145 |
Dual form | 384.2.n.a.241.1 |
$q$-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 \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(133\) | \(257\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{7}{8}\right)\) | \(1\) |
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 | ||||||||
\(5\) | −1.46213 | + | 0.605634i | −0.653884 | + | 0.270848i | −0.684863 | − | 0.728672i | \(-0.740138\pi\) |
0.0309782 | + | 0.999520i | \(0.490138\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 3.54889 | − | 3.54889i | 1.34136 | − | 1.34136i | 0.446643 | − | 0.894712i | \(-0.352619\pi\) |
0.894712 | − | 0.446643i | \(-0.147381\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −0.707107 | − | 0.707107i | −0.235702 | − | 0.235702i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 0.471165 | + | 1.13749i | 0.142062 | + | 0.342967i | 0.978856 | − | 0.204550i | \(-0.0655731\pi\) |
−0.836794 | + | 0.547517i | \(0.815573\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 4.97028 | + | 2.05876i | 1.37851 | + | 0.570996i | 0.944082 | − | 0.329712i | \(-0.106952\pi\) |
0.434425 | + | 0.900708i | \(0.356952\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | − | 1.58260i | − | 0.408625i | ||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | − | 0.419142i | − | 0.101657i | −0.998707 | − | 0.0508285i | \(-0.983814\pi\) | ||
0.998707 | − | 0.0508285i | \(-0.0161862\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.721541 | + | 0.298872i | 0.165533 | + | 0.0685660i | 0.463911 | − | 0.885882i | \(-0.346446\pi\) |
−0.298378 | + | 0.954448i | \(0.596446\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 1.92065 | + | 4.63685i | 0.419120 | + | 1.01184i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 5.76431 | + | 5.76431i | 1.20194 | + | 1.20194i | 0.973575 | + | 0.228367i | \(0.0733387\pi\) |
0.228367 | + | 0.973575i | \(0.426661\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.76450 | + | 1.76450i | −0.352901 | + | 0.352901i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 0.923880 | − | 0.382683i | 0.177801 | − | 0.0736475i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 1.26426 | − | 3.05219i | 0.234767 | − | 0.566778i | −0.761959 | − | 0.647625i | \(-0.775762\pi\) |
0.996727 | + | 0.0808468i | \(0.0257625\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.702664 | −0.126202 | −0.0631011 | − | 0.998007i | \(-0.520099\pi\) | ||||
−0.0631011 | + | 0.998007i | \(0.520099\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −1.23121 | −0.214327 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −3.03961 | + | 7.33827i | −0.513788 | + | 1.24039i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 1.86641 | − | 0.773092i | 0.306836 | − | 0.127096i | −0.223952 | − | 0.974600i | \(-0.571896\pi\) |
0.530788 | + | 0.847505i | \(0.321896\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −3.80408 | + | 3.80408i | −0.609141 | + | 0.609141i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 1.76678 | + | 1.76678i | 0.275925 | + | 0.275925i | 0.831480 | − | 0.555555i | \(-0.187494\pi\) |
−0.555555 | + | 0.831480i | \(0.687494\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −1.70666 | − | 4.12024i | −0.260263 | − | 0.628330i | 0.738692 | − | 0.674044i | \(-0.235444\pi\) |
−0.998955 | + | 0.0457131i | \(0.985444\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 1.46213 | + | 0.605634i | 0.217961 | + | 0.0902826i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | − | 9.64136i | − | 1.40634i | −0.711023 | − | 0.703169i | \(-0.751768\pi\) | ||
0.711023 | − | 0.703169i | \(-0.248232\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | − | 18.1893i | − | 2.59847i | ||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0.387237 | + | 0.160399i | 0.0542240 | + | 0.0224603i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −0.729689 | − | 1.76163i | −0.100230 | − | 0.241978i | 0.865808 | − | 0.500377i | \(-0.166805\pi\) |
−0.966038 | + | 0.258399i | \(0.916805\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −1.37781 | − | 1.37781i | −0.185784 | − | 0.185784i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −0.552244 | + | 0.552244i | −0.0731464 | + | 0.0731464i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −9.04676 | + | 3.74729i | −1.17779 | + | 0.487856i | −0.883760 | − | 0.467941i | \(-0.844996\pi\) |
−0.294028 | + | 0.955797i | \(0.594996\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0.0348835 | − | 0.0842161i | 0.00446637 | − | 0.0107828i | −0.921631 | − | 0.388068i | \(-0.873142\pi\) |
0.926097 | + | 0.377286i | \(0.123142\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −5.01889 | −0.632321 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −8.51404 | −1.05604 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −1.84116 | + | 4.44495i | −0.224933 | + | 0.543037i | −0.995547 | − | 0.0942652i | \(-0.969950\pi\) |
0.770614 | + | 0.637303i | \(0.219950\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −7.53144 | + | 3.11962i | −0.906679 | + | 0.375559i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 4.81608 | − | 4.81608i | 0.571564 | − | 0.571564i | −0.361001 | − | 0.932565i | \(-0.617565\pi\) |
0.932565 | + | 0.361001i | \(0.117565\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 4.70238 | + | 4.70238i | 0.550372 | + | 0.550372i | 0.926548 | − | 0.376176i | \(-0.122761\pi\) |
−0.376176 | + | 0.926548i | \(0.622761\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −0.954942 | − | 2.30543i | −0.110267 | − | 0.266209i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 5.70896 | + | 2.36473i | 0.650596 | + | 0.269486i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 2.83705i | 0.319193i | 0.987182 | + | 0.159597i | \(0.0510194\pi\) | ||||
−0.987182 | + | 0.159597i | \(0.948981\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 1.00000i | 0.111111i | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −8.15085 | − | 3.37619i | −0.894672 | − | 0.370585i | −0.112503 | − | 0.993651i | \(-0.535887\pi\) |
−0.782169 | + | 0.623066i | \(0.785887\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.253847 | + | 0.612841i | 0.0275336 | + | 0.0664719i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 2.33605 | + | 2.33605i | 0.250451 | + | 0.250451i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −5.34580 | + | 5.34580i | −0.566654 | + | 0.566654i | −0.931189 | − | 0.364536i | \(-0.881228\pi\) |
0.364536 | + | 0.931189i | \(0.381228\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 24.9453 | − | 10.3327i | 2.61498 | − | 1.08316i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 0.268898 | − | 0.649177i | 0.0278834 | − | 0.0673165i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −1.23599 | −0.126810 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −10.5490 | −1.07109 | −0.535544 | − | 0.844507i | \(-0.679893\pi\) | ||||
−0.535544 | + | 0.844507i | \(0.679893\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0.471165 | − | 1.13749i | 0.0473539 | − | 0.114322i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −14.7491 | + | 6.10929i | −1.46759 | + | 0.607897i | −0.966309 | − | 0.257385i | \(-0.917139\pi\) |
−0.501285 | + | 0.865282i | \(0.667139\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 0.180630 | − | 0.180630i | 0.0177980 | − | 0.0177980i | −0.698152 | − | 0.715950i | \(-0.745994\pi\) |
0.715950 | + | 0.698152i | \(0.245994\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −5.61647 | − | 5.61647i | −0.548111 | − | 0.548111i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −3.57306 | − | 8.62613i | −0.345421 | − | 0.833919i | −0.997148 | − | 0.0754662i | \(-0.975956\pi\) |
0.651728 | − | 0.758453i | \(-0.274044\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −7.71934 | − | 3.19745i | −0.739378 | − | 0.306261i | −0.0189789 | − | 0.999820i | \(-0.506042\pi\) |
−0.720400 | + | 0.693559i | \(0.756042\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 2.02019i | 0.191748i | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 12.8803i | 1.21168i | 0.795587 | + | 0.605839i | \(0.207162\pi\) | ||||
−0.795587 | + | 0.605839i | \(0.792838\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −11.9192 | − | 4.93711i | −1.11147 | − | 0.460388i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −2.05876 | − | 4.97028i | −0.190332 | − | 0.459502i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −1.48749 | − | 1.48749i | −0.136358 | − | 0.136358i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 6.70628 | − | 6.70628i | 0.609662 | − | 0.609662i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −2.30841 | + | 0.956175i | −0.208142 | + | 0.0862154i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 4.53946 | − | 10.9592i | 0.406022 | − | 0.980223i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −14.5951 | −1.29510 | −0.647552 | − | 0.762021i | \(-0.724207\pi\) | ||||
−0.647552 | + | 0.762021i | \(0.724207\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 4.45971 | 0.392656 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −1.05197 | + | 2.53967i | −0.0919108 | + | 0.221892i | −0.963149 | − | 0.268968i | \(-0.913317\pi\) |
0.871238 | + | 0.490860i | \(0.163317\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 3.62134 | − | 1.50001i | 0.314010 | − | 0.130067i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −1.11907 | + | 1.11907i | −0.0963139 | + | 0.0963139i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 10.5319 | + | 10.5319i | 0.899805 | + | 0.899805i | 0.995419 | − | 0.0956134i | \(-0.0304812\pi\) |
−0.0956134 | + | 0.995419i | \(0.530481\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 4.34181 | + | 10.4820i | 0.368267 | + | 0.889076i | 0.994035 | + | 0.109066i | \(0.0347859\pi\) |
−0.625767 | + | 0.780010i | \(0.715214\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 8.90746 | + | 3.68959i | 0.750143 | + | 0.310719i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 6.62367i | 0.553899i | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 5.22838i | 0.434193i | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 16.8047 | + | 6.96074i | 1.38603 | + | 0.574112i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −7.35637 | − | 17.7598i | −0.602657 | − | 1.45494i | −0.870836 | − | 0.491574i | \(-0.836422\pi\) |
0.268179 | − | 0.963369i | \(-0.413578\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −1.67484 | − | 1.67484i | −0.136297 | − | 0.136297i | 0.635667 | − | 0.771964i | \(-0.280725\pi\) |
−0.771964 | + | 0.635667i | \(0.780725\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −0.296378 | + | 0.296378i | −0.0239608 | + | 0.0239608i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 1.02739 | − | 0.425557i | 0.0825216 | − | 0.0341816i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −5.88393 | + | 14.2051i | −0.469589 | + | 1.13369i | 0.494755 | + | 0.869033i | \(0.335258\pi\) |
−0.964343 | + | 0.264654i | \(0.914742\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 1.90677 | 0.151217 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 40.9139 | 3.22446 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 0.0308652 | − | 0.0745152i | 0.00241755 | − | 0.00583648i | −0.922666 | − | 0.385600i | \(-0.873995\pi\) |
0.925084 | + | 0.379763i | \(0.123995\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 1.80020 | − | 0.745665i | 0.140145 | − | 0.0580500i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −3.70781 | + | 3.70781i | −0.286919 | + | 0.286919i | −0.835861 | − | 0.548942i | \(-0.815031\pi\) |
0.548942 | + | 0.835861i | \(0.315031\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 11.2728 | + | 11.2728i | 0.867136 | + | 0.867136i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −0.298872 | − | 0.721541i | −0.0228553 | − | 0.0551776i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −14.4940 | − | 6.00361i | −1.10196 | − | 0.456446i | −0.243797 | − | 0.969826i | \(-0.578393\pi\) |
−0.858161 | + | 0.513380i | \(0.828393\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 12.5241i | 0.946730i | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | − | 9.79214i | − | 0.736022i | ||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 21.2978 | + | 8.82184i | 1.59187 | + | 0.659376i | 0.990237 | − | 0.139394i | \(-0.0445155\pi\) |
0.601637 | + | 0.798770i | \(0.294516\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −0.843844 | − | 2.03722i | −0.0627224 | − | 0.151425i | 0.889411 | − | 0.457109i | \(-0.151115\pi\) |
−0.952133 | + | 0.305684i | \(0.901115\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0.0644562 | + | 0.0644562i | 0.00476474 | + | 0.00476474i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −2.26072 | + | 2.26072i | −0.166212 | + | 0.166212i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0.476772 | − | 0.197485i | 0.0348650 | − | 0.0144416i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 1.92065 | − | 4.63685i | 0.139707 | − | 0.337281i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 10.5263 | 0.761656 | 0.380828 | − | 0.924646i | \(-0.375639\pi\) | ||||
0.380828 | + | 0.924646i | \(0.375639\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −14.4005 | −1.03657 | −0.518285 | − | 0.855208i | \(-0.673429\pi\) | ||||
−0.518285 | + | 0.855208i | \(0.673429\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 3.25818 | − | 7.86595i | 0.233323 | − | 0.563292i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 15.2594 | − | 6.32063i | 1.08718 | − | 0.450326i | 0.234160 | − | 0.972198i | \(-0.424766\pi\) |
0.853024 | + | 0.521872i | \(0.174766\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −4.42484 | + | 4.42484i | −0.313668 | + | 0.313668i | −0.846329 | − | 0.532661i | \(-0.821192\pi\) |
0.532661 | + | 0.846329i | \(0.321192\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −3.40202 | − | 3.40202i | −0.239960 | − | 0.239960i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −6.34518 | − | 15.3186i | −0.445345 | − | 1.07516i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −3.65329 | − | 1.51324i | −0.255157 | − | 0.105689i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | − | 8.15197i | − | 0.566601i | ||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 0.961566i | 0.0665129i | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −5.03490 | − | 2.08552i | −0.346617 | − | 0.143573i | 0.202582 | − | 0.979265i | \(-0.435067\pi\) |
−0.549198 | + | 0.835692i | \(0.685067\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 2.60644 | + | 6.29251i | 0.178591 | + | 0.431156i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 4.99071 | + | 4.99071i | 0.340364 | + | 0.340364i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −2.49368 | + | 2.49368i | −0.169282 | + | 0.169282i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −6.14396 | + | 2.54491i | −0.415170 | + | 0.171969i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 0.862912 | − | 2.08325i | 0.0580457 | − | 0.140135i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 6.55302 | 0.438823 | 0.219411 | − | 0.975632i | \(-0.429586\pi\) | ||||
0.219411 | + | 0.975632i | \(0.429586\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 2.49538 | 0.166359 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 7.13682 | − | 17.2298i | 0.473687 | − | 1.14358i | −0.488834 | − | 0.872377i | \(-0.662578\pi\) |
0.962521 | − | 0.271206i | \(-0.0874224\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 19.5161 | − | 8.08385i | 1.28966 | − | 0.534196i | 0.370778 | − | 0.928721i | \(-0.379091\pi\) |
0.918885 | + | 0.394526i | \(0.129091\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −4.36945 | + | 4.36945i | −0.287489 | + | 0.287489i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −12.3229 | − | 12.3229i | −0.807303 | − | 0.807303i | 0.176922 | − | 0.984225i | \(-0.443386\pi\) |
−0.984225 | + | 0.176922i | \(0.943386\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 5.83914 | + | 14.0969i | 0.380903 | + | 0.919582i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −2.62109 | − | 1.08569i | −0.170258 | − | 0.0705233i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | − | 9.89811i | − | 0.640256i | −0.947374 | − | 0.320128i | \(-0.896274\pi\) | ||
0.947374 | − | 0.320128i | \(-0.103726\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 4.48193i | 0.288706i | 0.989526 | + | 0.144353i | \(0.0461101\pi\) | ||||
−0.989526 | + | 0.144353i | \(0.953890\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −0.923880 | − | 0.382683i | −0.0592669 | − | 0.0245492i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 11.0160 | + | 26.5951i | 0.703790 | + | 1.69910i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 2.97095 | + | 2.97095i | 0.189037 | + | 0.189037i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 6.23839 | − | 6.23839i | 0.395342 | − | 0.395342i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 4.74357 | − | 1.96485i | 0.299412 | − | 0.124020i | −0.227920 | − | 0.973680i | \(-0.573192\pi\) |
0.527332 | + | 0.849659i | \(0.323192\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −3.84093 | + | 9.27281i | −0.241477 | + | 0.582977i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −0.663334 | −0.0415396 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −21.8091 | −1.36042 | −0.680208 | − | 0.733019i | \(-0.738111\pi\) | ||||
−0.680208 | + | 0.733019i | \(0.738111\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 3.88007 | − | 9.36731i | 0.241096 | − | 0.582056i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −3.05219 | + | 1.26426i | −0.188926 | + | 0.0782557i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −12.6621 | + | 12.6621i | −0.780776 | + | 0.780776i | −0.979962 | − | 0.199186i | \(-0.936170\pi\) |
0.199186 | + | 0.979962i | \(0.436170\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 2.13380 | + | 2.13380i | 0.131078 | + | 0.131078i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −2.89313 | − | 6.98463i | −0.177056 | − | 0.427452i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 11.0354 | + | 4.57101i | 0.672840 | + | 0.278699i | 0.692830 | − | 0.721101i | \(-0.256364\pi\) |
−0.0199903 | + | 0.999800i | \(0.506364\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 24.7890i | 1.50582i | 0.658121 | + | 0.752912i | \(0.271352\pi\) | ||||
−0.658121 | + | 0.752912i | \(0.728648\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 27.0006i | 1.63415i | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −2.83848 | − | 1.17574i | −0.171167 | − | 0.0708997i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 0.490227 | + | 1.18351i | 0.0294549 | + | 0.0711104i | 0.937923 | − | 0.346845i | \(-0.112747\pi\) |
−0.908468 | + | 0.417955i | \(0.862747\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 0.496859 | + | 0.496859i | 0.0297461 | + | 0.0297461i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 11.2732 | − | 11.2732i | 0.672504 | − | 0.672504i | −0.285789 | − | 0.958293i | \(-0.592256\pi\) |
0.958293 | + | 0.285789i | \(0.0922556\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −19.6457 | + | 8.13751i | −1.16782 | + | 0.483725i | −0.880470 | − | 0.474102i | \(-0.842773\pi\) |
−0.287345 | + | 0.957827i | \(0.592773\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0.472994 | − | 1.14191i | 0.0280178 | − | 0.0676409i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 12.5402 | 0.740227 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 16.8243 | 0.989666 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 4.03693 | − | 9.74600i | 0.236649 | − | 0.571321i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −12.9966 | + | 5.38336i | −0.759269 | + | 0.314499i | −0.728517 | − | 0.685028i | \(-0.759790\pi\) |
−0.0307516 | + | 0.999527i | \(0.509790\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 10.9581 | − | 10.9581i | 0.638002 | − | 0.638002i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 0.870600 | + | 0.870600i | 0.0505173 | + | 0.0505173i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 16.7829 | + | 40.5175i | 0.970581 | + | 2.34319i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −20.6790 | − | 8.56553i | −1.19192 | − | 0.493709i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | − | 15.9644i | − | 0.917128i | ||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 0.144262i | 0.00826039i | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −5.44024 | − | 2.25342i | −0.310491 | − | 0.128609i | 0.221997 | − | 0.975047i | \(-0.428743\pi\) |
−0.532487 | + | 0.846438i | \(0.678743\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0.0977562 | + | 0.236004i | 0.00556116 | + | 0.0134258i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −12.0286 | − | 12.0286i | −0.682077 | − | 0.682077i | 0.278391 | − | 0.960468i | \(-0.410199\pi\) |
−0.960468 | + | 0.278391i | \(0.910199\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −18.0892 | + | 18.0892i | −1.02246 | + | 1.02246i | −0.0227184 | + | 0.999742i | \(0.507232\pi\) |
−0.999742 | + | 0.0227184i | \(0.992768\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 7.33827 | − | 3.03961i | 0.413465 | − | 0.171263i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 6.30035 | − | 15.2104i | 0.353863 | − | 0.854300i | −0.642273 | − | 0.766476i | \(-0.722009\pi\) |
0.996136 | − | 0.0878245i | \(-0.0279915\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 4.06752 | 0.227738 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 9.33685 | 0.521132 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 0.125270 | − | 0.302428i | 0.00697021 | − | 0.0168276i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −12.4027 | + | 5.13738i | −0.687980 | + | 0.284971i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 5.90812 | − | 5.90812i | 0.326720 | − | 0.326720i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −34.2162 | − | 34.2162i | −1.88640 | − | 1.88640i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −3.57821 | − | 8.63857i | −0.196676 | − | 0.474819i | 0.794517 | − | 0.607242i | \(-0.207724\pi\) |
−0.991193 | + | 0.132423i | \(0.957724\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −1.86641 | − | 0.773092i | −0.102279 | − | 0.0423652i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | − | 7.61417i | − | 0.416006i | ||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 7.95561i | 0.433370i | 0.976242 | + | 0.216685i | \(0.0695244\pi\) | ||||
−0.976242 | + | 0.216685i | \(0.930476\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −11.8999 | − | 4.92908i | −0.646312 | − | 0.267711i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −0.331071 | − | 0.799276i | −0.0179285 | − | 0.0432832i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −39.7096 | − | 39.7096i | −2.14412 | − | 2.14412i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 9.12259 | − | 9.12259i | 0.491144 | − | 0.491144i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −24.7595 | + | 10.2557i | −1.32916 | + | 0.550557i | −0.930416 | − | 0.366505i | \(-0.880554\pi\) |
−0.398745 | + | 0.917062i | \(0.630554\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −9.76660 | + | 23.5787i | −0.522794 | + | 1.26214i | 0.413366 | + | 0.910565i | \(0.364353\pi\) |
−0.936161 | + | 0.351572i | \(0.885647\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 5.37979 | 0.287152 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −6.97022 | −0.370987 | −0.185494 | − | 0.982645i | \(-0.559388\pi\) | ||||
−0.185494 | + | 0.982645i | \(0.559388\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −4.12495 | + | 9.95852i | −0.218930 | + | 0.528543i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 1.94350 | − | 0.805025i | 0.102861 | − | 0.0426064i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 17.8636 | − | 17.8636i | 0.942805 | − | 0.942805i | −0.0556457 | − | 0.998451i | \(-0.517722\pi\) |
0.998451 | + | 0.0556457i | \(0.0177217\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −13.0037 | − | 13.0037i | −0.684407 | − | 0.684407i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 3.62941 | + | 8.76218i | 0.190495 | + | 0.459895i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −9.72341 | − | 4.02757i | −0.508947 | − | 0.210813i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 5.77401i | 0.301401i | 0.988579 | + | 0.150700i | \(0.0481529\pi\) | ||||
−0.988579 | + | 0.150700i | \(0.951847\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | − | 2.49861i | − | 0.130072i | ||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −8.84141 | − | 3.66223i | −0.459023 | − | 0.190134i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −6.93394 | − | 16.7400i | −0.359026 | − | 0.866766i | −0.995438 | − | 0.0954158i | \(-0.969582\pi\) |
0.636411 | − | 0.771350i | \(-0.280418\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 8.38783 | + | 8.38783i | 0.433146 | + | 0.433146i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 12.5674 | − | 12.5674i | 0.647256 | − | 0.647256i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −17.3937 | + | 7.20472i | −0.893456 | + | 0.370082i | −0.781700 | − | 0.623654i | \(-0.785647\pi\) |
−0.111755 | + | 0.993736i | \(0.535647\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 5.58529 | − | 13.4841i | 0.286143 | − | 0.690811i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −7.76327 | −0.396685 | −0.198342 | − | 0.980133i | \(-0.563556\pi\) | ||||
−0.198342 | + | 0.980133i | \(0.563556\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −9.77940 | −0.498404 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −1.70666 | + | 4.12024i | −0.0867543 | + | 0.209443i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 22.1262 | − | 9.16496i | 1.12184 | − | 0.464682i | 0.256841 | − | 0.966454i | \(-0.417318\pi\) |
0.865000 | + | 0.501772i | \(0.167318\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 2.41607 | − | 2.41607i | 0.122186 | − | 0.122186i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −1.94378 | − | 1.94378i | −0.0980508 | − | 0.0980508i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −1.71822 | − | 4.14814i | −0.0864528 | − | 0.208715i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 17.1908 | + | 7.12064i | 0.862779 | + | 0.357375i | 0.769794 | − | 0.638293i | \(-0.220359\pi\) |
0.0929854 | + | 0.995667i | \(0.470359\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 3.91971i | 0.196231i | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 13.4861i | 0.673466i | 0.941600 | + | 0.336733i | \(0.109322\pi\) | ||||
−0.941600 | + | 0.336733i | \(0.890678\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −3.49243 | − | 1.44661i | −0.173971 | − | 0.0720610i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −0.605634 | − | 1.46213i | −0.0300942 | − | 0.0726538i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 1.75877 | + | 1.75877i | 0.0871792 | + | 0.0871792i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 2.39993 | − | 2.39993i | 0.118669 | − | 0.118669i | −0.645278 | − | 0.763948i | \(-0.723259\pi\) |
0.763948 | + | 0.645278i | \(0.223259\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −13.7607 | + | 5.69985i | −0.678763 | + | 0.281153i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −18.8072 | + | 45.4047i | −0.925444 | + | 2.23422i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 13.9623 | 0.685384 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −11.3457 | −0.555601 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 3.43963 | − | 8.30401i | 0.168037 | − | 0.405677i | −0.817319 | − | 0.576185i | \(-0.804541\pi\) |
0.985356 | + | 0.170508i | \(0.0545408\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 27.1820 | − | 11.2592i | 1.32477 | − | 0.548738i | 0.395612 | − | 0.918418i | \(-0.370533\pi\) |
0.929159 | + | 0.369680i | \(0.120533\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −6.81747 | + | 6.81747i | −0.331477 | + | 0.331477i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 0.739578 | + | 0.739578i | 0.0358748 | + | 0.0358748i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −0.175076 | − | 0.422672i | −0.00847254 | − | 0.0204545i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −6.11947 | − | 2.53477i | −0.295451 | − | 0.122380i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 11.2962i | 0.544119i | 0.962280 | + | 0.272060i | \(0.0877048\pi\) | ||||
−0.962280 | + | 0.272060i | \(0.912295\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 38.7244i | − | 1.86098i | −0.366323 | − | 0.930488i | \(-0.619383\pi\) | ||
0.366323 | − | 0.930488i | \(-0.380617\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −4.83039 | − | 2.00081i | −0.231600 | − | 0.0959317i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 2.43640 | + | 5.88198i | 0.116549 | + | 0.281373i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 12.1768 | + | 12.1768i | 0.581166 | + | 0.581166i | 0.935223 | − | 0.354058i | \(-0.115198\pi\) |
−0.354058 | + | 0.935223i | \(0.615198\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −12.8618 | + | 12.8618i | −0.612465 | + | 0.612465i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 5.56969 | − | 2.30704i | 0.264624 | − | 0.109611i | −0.246427 | − | 0.969161i | \(-0.579256\pi\) |
0.511051 | + | 0.859551i | \(0.329256\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 4.57866 | − | 11.0539i | 0.217049 | − | 0.524003i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 19.2231 | 0.909222 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −13.4725 | −0.635805 | −0.317903 | − | 0.948123i | \(-0.602978\pi\) | ||||
−0.317903 | + | 0.948123i | \(0.602978\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −1.17726 | + | 2.84215i | −0.0554348 | + | 0.133832i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 2.18829 | − | 0.906419i | 0.102815 | − | 0.0425873i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −30.2154 | + | 30.2154i | −1.41652 | + | 1.41652i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −0.807356 | − | 0.807356i | −0.0377665 | − | 0.0377665i | 0.687971 | − | 0.725738i | \(-0.258501\pi\) |
−0.725738 | + | 0.687971i | \(0.758501\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −0.160399 | − | 0.387237i | −0.00748678 | − | 0.0180747i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 4.82041 | + | 1.99668i | 0.224509 | + | 0.0929945i | 0.492102 | − | 0.870537i | \(-0.336229\pi\) |
−0.267594 | + | 0.963532i | \(0.586229\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | − | 15.0849i | − | 0.701053i | −0.936553 | − | 0.350526i | \(-0.886003\pi\) | ||
0.936553 | − | 0.350526i | \(-0.113997\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 1.11203i | 0.0515694i | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 17.1432 | + | 7.10095i | 0.793294 | + | 0.328593i | 0.742267 | − | 0.670104i | \(-0.233751\pi\) |
0.0510266 | + | 0.998697i | \(0.483751\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 9.24058 | + | 22.3087i | 0.426690 | + | 1.03012i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −10.8721 | − | 10.8721i | −0.500959 | − | 0.500959i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 3.88263 | − | 3.88263i | 0.178523 | − | 0.178523i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −1.80052 | + | 0.745800i | −0.0826136 | + | 0.0342197i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −0.729689 | + | 1.76163i | −0.0334102 | + | 0.0806593i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −13.4984 | −0.616757 | −0.308379 | − | 0.951264i | \(-0.599786\pi\) | ||||
−0.308379 | + | 0.951264i | \(0.599786\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 10.8682 | 0.495546 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −15.6571 | + | 37.7995i | −0.712421 | + | 1.71994i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 15.4240 | − | 6.38883i | 0.700368 | − | 0.290102i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 18.9270 | − | 18.9270i | 0.857666 | − | 0.857666i | −0.133397 | − | 0.991063i | \(-0.542588\pi\) |
0.991063 | + | 0.133397i | \(0.0425884\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 0.0570315 | + | 0.0570315i | 0.00257905 | + | 0.00257905i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −11.5298 | − | 27.8355i | −0.520335 | − | 1.25620i | −0.937695 | − | 0.347458i | \(-0.887045\pi\) |
0.417361 | − | 0.908741i | \(-0.362955\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −1.27930 | − | 0.529905i | −0.0576169 | − | 0.0238657i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 1.94852i | 0.0875793i | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | − | 34.1835i | − | 1.53334i | ||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 4.77450 | + | 1.97766i | 0.213736 | + | 0.0885323i | 0.486983 | − | 0.873412i | \(-0.338098\pi\) |
−0.273247 | + | 0.961944i | \(0.588098\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −2.00665 | − | 4.84448i | −0.0896505 | − | 0.216435i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −0.935522 | − | 0.935522i | −0.0417129 | − | 0.0417129i | 0.685943 | − | 0.727656i | \(-0.259390\pi\) |
−0.727656 | + | 0.685943i | \(0.759390\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 17.8652 | − | 17.8652i | 0.794989 | − | 0.794989i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −14.7286 | + | 6.10078i | −0.654120 | + | 0.270945i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −3.46080 | + | 8.35510i | −0.153397 | + | 0.370333i | −0.981832 | − | 0.189752i | \(-0.939232\pi\) |
0.828435 | + | 0.560085i | \(0.189232\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 33.3765 | 1.47649 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 0.780990 | 0.0344816 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −0.154709 | + | 0.373500i | −0.00681729 | + | 0.0164584i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 10.9670 | − | 4.54267i | 0.482328 | − | 0.199787i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 11.0932 | − | 11.0932i | 0.486938 | − | 0.486938i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 18.6279 | + | 18.6279i | 0.816103 | + | 0.816103i | 0.985541 | − | 0.169438i | \(-0.0541953\pi\) |
−0.169438 | + | 0.985541i | \(0.554195\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 6.71157 | + | 16.2032i | 0.293476 | + | 0.708514i | 1.00000 | 0.000824669i | \(0.000262500\pi\) | |
−0.706523 | + | 0.707690i | \(0.749737\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −11.5707 | − | 4.79275i | −0.504988 | − | 0.209173i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 0.294516i | 0.0128293i | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 43.4546i | 1.88933i | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 9.04676 | + | 3.74729i | 0.392596 | + | 0.162619i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 5.14402 | + | 12.4188i | 0.222812 | + | 0.537916i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 10.4486 | + | 10.4486i | 0.451730 | + | 0.451730i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −16.3006 | + | 16.3006i | −0.703425 | + | 0.703425i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 20.6902 | − | 8.57016i | 0.891190 | − | 0.369143i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −1.92568 | + | 4.64901i | −0.0827916 | + | 0.199877i | −0.959854 | − | 0.280500i | \(-0.909500\pi\) |
0.877063 | + | 0.480376i | \(0.159500\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 2.20507 | 0.0946286 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 13.2232 | 0.566418 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −3.16571 | + | 7.64271i | −0.135356 | + | 0.326779i | −0.976995 | − | 0.213262i | \(-0.931591\pi\) |
0.841639 | + | 0.540041i | \(0.181591\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −0.0842161 | + | 0.0348835i | −0.00359426 | + | 0.00148879i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 1.82443 | − | 1.82443i | 0.0777233 | − | 0.0777233i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 10.0684 | + | 10.0684i | 0.428152 | + | 0.428152i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −1.22349 | − | 2.95378i | −0.0519344 | − | 0.125381i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 27.6378 | + | 11.4479i | 1.17105 | + | 0.485065i | 0.881540 | − | 0.472110i | \(-0.156507\pi\) |
0.289511 | + | 0.957175i | \(0.406507\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | − | 23.9923i | − | 1.01477i | ||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0.516054i | 0.0217878i | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 23.2024 | + | 9.61075i | 0.977865 | + | 0.405045i | 0.813634 | − | 0.581377i | \(-0.197486\pi\) |
0.164231 | + | 0.986422i | \(0.447486\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −7.80076 | − | 18.8327i | −0.328180 | − | 0.792297i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 3.54889 | + | 3.54889i | 0.149039 | + | 0.149039i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −17.3917 | + | 17.3917i | −0.729097 | + | 0.729097i | −0.970440 | − | 0.241343i | \(-0.922412\pi\) |
0.241343 | + | 0.970440i | \(0.422412\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 37.7837 | − | 15.6505i | 1.58120 | − | 0.654954i | 0.592596 | − | 0.805500i | \(-0.298103\pi\) |
0.988603 | + | 0.150546i | \(0.0481031\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −4.02824 | + | 9.72503i | −0.168282 | + | 0.406269i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −20.3423 | −0.848332 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −13.8026 | −0.574610 | −0.287305 | − | 0.957839i | \(-0.592759\pi\) | ||||
−0.287305 | + | 0.957839i | \(0.592759\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 5.51083 | − | 13.3043i | 0.229022 | − | 0.552909i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −40.9082 | + | 16.9447i | −1.69716 | + | 0.702987i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 1.66003 | − | 1.66003i | 0.0687515 | − | 0.0687515i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 6.02034 | + | 6.02034i | 0.248910 | + | 0.248910i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 3.50667 | + | 8.46586i | 0.144736 | + | 0.349423i | 0.979578 | − | 0.201067i | \(-0.0644408\pi\) |
−0.834842 | + | 0.550490i | \(0.814441\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −0.507001 | − | 0.210007i | −0.0208906 | − | 0.00865317i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 16.5166i | 0.679403i | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 9.94303i | 0.408311i | 0.978938 | + | 0.204156i | \(0.0654449\pi\) | ||||
−0.978938 | + | 0.204156i | \(0.934555\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 3.07578 | + | 1.27403i | 0.126095 | + | 0.0522302i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −2.39470 | − | 5.78133i | −0.0980087 | − | 0.236614i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −7.33034 | − | 7.33034i | −0.299510 | − | 0.299510i | 0.541312 | − | 0.840822i | \(-0.317928\pi\) |
−0.840822 | + | 0.541312i | \(0.817928\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 13.1690 | − | 13.1690i | 0.537174 | − | 0.537174i | −0.385524 | − | 0.922698i | \(-0.625979\pi\) |
0.922698 | + | 0.385524i | \(0.125979\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 4.44495 | − | 1.84116i | 0.181012 | − | 0.0749778i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −5.74390 | + | 13.8670i | −0.233523 | + | 0.563774i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −26.6851 | −1.08312 | −0.541558 | − | 0.840663i | \(-0.682165\pi\) | ||||
−0.541558 | + | 0.840663i | \(0.682165\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 16.5808 | 0.671886 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 19.8492 | − | 47.9202i | 0.803013 | − | 1.93864i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −32.3066 | + | 13.3818i | −1.30485 | + | 0.540487i | −0.923378 | − | 0.383893i | \(-0.874583\pi\) |
−0.381473 | + | 0.924380i | \(0.624583\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 2.79610 | − | 2.79610i | 0.112750 | − | 0.112750i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 8.69424 | + | 8.69424i | 0.350017 | + | 0.350017i | 0.860116 | − | 0.510099i | \(-0.170391\pi\) |
−0.510099 | + | 0.860116i | \(0.670391\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −4.36939 | − | 10.5486i | −0.175621 | − | 0.423986i | 0.811418 | − | 0.584466i | \(-0.198696\pi\) |
−0.987039 | + | 0.160480i | \(0.948696\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 7.53144 | + | 3.11962i | 0.302226 | + | 0.125186i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 37.9434i | 1.52017i | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 6.29614i | 0.251846i | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −0.888371 | − | 0.367976i | −0.0354781 | − | 0.0146955i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −0.324036 | − | 0.782291i | −0.0129201 | − | 0.0311920i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 25.2614 | + | 25.2614i | 1.00564 | + | 1.00564i | 0.999984 | + | 0.00565528i | \(0.00180014\pi\) |
0.00565528 | + | 0.999984i | \(0.498200\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 3.85355 | − | 3.85355i | 0.153165 | − | 0.153165i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 21.3399 | − | 8.83928i | 0.846848 | − | 0.350776i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 37.4473 | − | 90.4057i | 1.48372 | − | 3.58201i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −6.81097 | −0.269438 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −5.16034 | −0.203821 | −0.101911 | − | 0.994794i | \(-0.532496\pi\) | ||||
−0.101911 | + | 0.994794i | \(0.532496\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 11.5208 | − | 27.8137i | 0.454336 | − | 1.09686i | −0.516321 | − | 0.856395i | \(-0.672699\pi\) |
0.970657 | − | 0.240469i | \(-0.0773012\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −6.52068 | + | 2.70095i | −0.256752 | + | 0.106350i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 10.2546 | − | 10.2546i | 0.403152 | − | 0.403152i | −0.476190 | − | 0.879342i | \(-0.657983\pi\) |
0.879342 | + | 0.476190i | \(0.157983\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −8.52504 | − | 8.52504i | −0.334637 | − | 0.334637i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −1.34957 | − | 3.25815i | −0.0528938 | − | 0.127697i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 33.9760 | + | 14.0733i | 1.32958 | + | 0.550732i | 0.930537 | − | 0.366198i | \(-0.119341\pi\) |
0.399048 | + | 0.916930i | \(0.369341\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | − | 4.35044i | − | 0.169986i | ||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | − | 6.65017i | − | 0.259448i | ||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −37.0134 | − | 15.3315i | −1.44184 | − | 0.597229i | −0.481596 | − | 0.876393i | \(-0.659943\pi\) |
−0.960243 | + | 0.279164i | \(0.909943\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −5.34519 | − | 12.9044i | −0.207904 | − | 0.501924i | 0.785189 | − | 0.619256i | \(-0.212566\pi\) |
−0.993093 | + | 0.117332i | \(0.962566\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 1.59445 | + | 1.59445i | 0.0619234 | + | 0.0619234i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −4.38641 | + | 4.38641i | −0.170098 | + | 0.170098i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 24.8814 | − | 10.3062i | 0.963411 | − | 0.399058i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −2.50773 | + | 6.05420i | −0.0969545 | + | 0.234069i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 0.112231 | 0.00433264 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 22.7067 | 0.875278 | 0.437639 | − | 0.899151i | \(-0.355815\pi\) | ||||
0.437639 | + | 0.899151i | \(0.355815\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −0.954942 | + | 2.30543i | −0.0367557 | + | 0.0887362i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 2.47043 | − | 1.02328i | 0.0949462 | − | 0.0393280i | −0.334705 | − | 0.942323i | \(-0.608637\pi\) |
0.429651 | + | 0.902995i | \(0.358637\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −37.4373 | + | 37.4373i | −1.43671 | + | 1.43671i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 13.1871 | + | 13.1871i | 0.505332 | + | 0.505332i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 7.12261 | + | 17.1955i | 0.272539 | + | 0.657967i | 0.999590 | − | 0.0286156i | \(-0.00910988\pi\) |
−0.727052 | + | 0.686583i | \(0.759110\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −21.7776 | − | 9.02057i | −0.832079 | − | 0.344658i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 21.1241i | 0.805936i | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | − | 10.2580i | − | 0.390799i | ||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −27.2224 | − | 11.2759i | −1.03559 | − | 0.428956i | −0.200863 | − | 0.979619i | \(-0.564375\pi\) |
−0.834727 | + | 0.550664i | \(0.814375\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −2.36473 | − | 5.70896i | −0.0898286 | − | 0.216865i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −12.6966 | − | 12.6966i | −0.481608 | − | 0.481608i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 0.740533 | − | 0.740533i | 0.0280497 | − | 0.0280497i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 16.1007 | − | 6.66913i | 0.608984 | − | 0.252250i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 10.0320 | − | 24.2193i | 0.378902 | − | 0.914750i | −0.613271 | − | 0.789873i | \(-0.710146\pi\) |
0.992172 | − | 0.124877i | \(-0.0398536\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 1.57775 | 0.0595058 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −15.2584 | −0.574665 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −30.6619 | + | 74.0244i | −1.15316 | + | 2.78397i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 2.86478 | − | 1.18663i | 0.107589 | − | 0.0445648i | −0.328240 | − | 0.944594i | \(-0.606455\pi\) |
0.435829 | + | 0.900030i | \(0.356455\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 2.00610 | − | 2.00610i | 0.0752346 | − | 0.0752346i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −4.05038 | − | 4.05038i | −0.151688 | − | 0.151688i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −4.01152 | − | 9.68467i | −0.150022 | − | 0.362186i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 9.14466 | + | 3.78784i | 0.341514 | + | 0.141460i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | − | 28.8542i | − | 1.07608i | −0.842920 | − | 0.538040i | \(-0.819165\pi\) | ||
0.842920 | − | 0.538040i | \(-0.180835\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | − | 1.28207i | − | 0.0477469i | ||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −4.14076 | − | 1.71516i | −0.153997 | − | 0.0637874i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 3.15481 | + | 7.61639i | 0.117167 | + | 0.282866i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 27.0018 | + | 27.0018i | 1.00144 | + | 1.00144i | 0.999999 | + | 0.00144152i | \(0.000458852\pi\) |
0.00144152 | + | 0.999999i | \(0.499541\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0.707107 | − | 0.707107i | 0.0261891 | − | 0.0261891i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −1.72697 | + | 0.715333i | −0.0638742 | + | 0.0264575i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 5.85715 | − | 14.1404i | 0.216339 | − | 0.522288i | −0.778034 | − | 0.628222i | \(-0.783783\pi\) |
0.994373 | + | 0.105934i | \(0.0337831\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −28.7863 | −1.06180 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −5.92360 | −0.218198 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −9.07639 | + | 21.9124i | −0.333881 | + | 0.806059i | 0.664396 | + | 0.747380i | \(0.268689\pi\) |
−0.998277 | + | 0.0586786i | \(0.981311\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −3.88174 | + | 1.60787i | −0.142599 | + | 0.0590665i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −8.23952 | + | 8.23952i | −0.302279 | + | 0.302279i | −0.841905 | − | 0.539626i | \(-0.818566\pi\) |
0.539626 | + | 0.841905i | \(0.318566\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 21.5119 | + | 21.5119i | 0.788136 | + | 0.788136i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 3.37619 | + | 8.15085i | 0.123528 | + | 0.298224i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −43.2936 | − | 17.9328i | −1.58191 | − | 0.655250i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | − | 28.2969i | − | 1.03257i | −0.856417 | − | 0.516285i | \(-0.827315\pi\) | ||
0.856417 | − | 0.516285i | \(-0.172685\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 5.13441i | 0.187108i | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 3.46318 | + | 1.43450i | 0.126038 | + | 0.0522067i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 16.0550 | + | 38.7601i | 0.583527 | + | 1.40876i | 0.889595 | + | 0.456750i | \(0.150987\pi\) |
−0.306068 | + | 0.952010i | \(0.599013\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −7.09710 | − | 7.09710i | −0.257609 | − | 0.257609i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −0.792041 | + | 0.792041i | −0.0287115 | + | 0.0287115i | −0.721317 | − | 0.692605i | \(-0.756463\pi\) |
0.692605 | + | 0.721317i | \(0.256463\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −38.7425 | + | 16.0477i | −1.40257 | + | 0.580965i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 0.253847 | − | 0.612841i | 0.00917785 | − | 0.0221573i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −52.6796 | −1.90215 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 17.0970 | 0.616534 | 0.308267 | − | 0.951300i | \(-0.400251\pi\) | ||||
0.308267 | + | 0.951300i | \(0.400251\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 8.34600 | − | 20.1490i | 0.300574 | − | 0.725649i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −11.0550 | + | 4.57913i | −0.397621 | + | 0.164700i | −0.572528 | − | 0.819885i | \(-0.694037\pi\) |
0.174908 | + | 0.984585i | \(0.444037\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 1.23985 | − | 1.23985i | 0.0445368 | − | 0.0445368i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 7.16943 | + | 7.16943i | 0.257202 | + | 0.257202i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 0.746764 | + | 1.80285i | 0.0267556 | + | 0.0645937i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 7.74743 | + | 3.20909i | 0.277225 | + | 0.114830i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | − | 3.30367i | − | 0.118064i | ||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | − | 24.3331i | − | 0.868487i | ||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 48.0613 | + | 19.9077i | 1.71320 | + | 0.709631i | 0.999962 | + | 0.00871015i | \(0.00277256\pi\) |
0.713239 | + | 0.700921i | \(0.247227\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −6.85266 | − | 16.5438i | −0.243961 | − | 0.588974i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 45.7109 | + | 45.7109i | 1.62529 | + | 1.62529i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 0.346761 | − | 0.346761i | 0.0123138 | − | 0.0123138i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −2.78794 | + | 1.15480i | −0.0988782 | + | 0.0409567i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 2.54297 | − | 6.13928i | 0.0900767 | − | 0.217464i | −0.872420 | − | 0.488756i | \(-0.837451\pi\) |
0.962497 | + | 0.271292i | \(0.0874508\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −4.04110 | −0.142964 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 7.56011 | 0.267123 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −3.13333 | + | 7.56452i | −0.110573 | + | 0.266946i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −59.8214 | + | 24.7788i | −2.10843 | + | 0.873339i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −8.44613 | + | 8.44613i | −0.297318 | + | 0.297318i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 10.3014 | + | 10.3014i | 0.362178 | + | 0.362178i | 0.864614 | − | 0.502436i | \(-0.167563\pi\) |
−0.502436 | + | 0.864614i | \(0.667563\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −20.6691 | − | 49.8997i | −0.725791 | − | 1.75221i | −0.656135 | − | 0.754644i | \(-0.727810\pi\) |
−0.0696566 | − | 0.997571i | \(-0.522190\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −22.9020 | − | 9.48634i | −0.803210 | − | 0.332700i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 0.127644i | 0.00447117i | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | − | 3.48299i | − | 0.121854i | ||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −24.9453 | − | 10.3327i | −0.871659 | − | 0.361053i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −19.8645 | − | 47.9571i | −0.693275 | − | 1.67371i | −0.738076 | − | 0.674717i | \(-0.764266\pi\) |
0.0448018 | − | 0.998996i | \(-0.485734\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −20.2460 | − | 20.2460i | −0.705732 | − | 0.705732i | 0.259903 | − | 0.965635i | \(-0.416310\pi\) |
−0.965635 | + | 0.259903i | \(0.916310\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 2.17248 | − | 2.17248i | 0.0756361 | − | 0.0756361i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 3.66959 | − | 1.51999i | 0.127604 | − | 0.0528554i | −0.317968 | − | 0.948102i | \(-0.603000\pi\) |
0.445572 | + | 0.895246i | \(0.353000\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −9.44957 | + | 22.8133i | −0.328197 | + | 0.792338i | 0.670529 | + | 0.741883i | \(0.266067\pi\) |
−0.998726 | + | 0.0504548i | \(0.983933\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −1.28103 | −0.0444383 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −7.62390 | −0.264152 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 3.17572 | − | 7.66687i | 0.109900 | − | 0.265323i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −0.649177 | + | 0.268898i | −0.0224388 | + | 0.00929447i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 11.4170 | − | 11.4170i | 0.394157 | − | 0.394157i | −0.482009 | − | 0.876166i | \(-0.660093\pi\) |
0.876166 | + | 0.482009i | \(0.160093\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 12.7886 | + | 12.7886i | 0.440985 | + | 0.440985i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 6.10102 | + | 14.7292i | 0.210130 | + | 0.507299i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −23.3094 | − | 9.65508i | −0.801869 | − | 0.332145i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | − | 47.5997i | − | 1.63555i | ||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | − | 21.2643i | − | 0.729790i | ||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 15.2149 | + | 6.30222i | 0.521561 | + | 0.216037i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −19.3307 | − | 46.6685i | −0.661871 | − | 1.59790i | −0.794868 | − | 0.606782i | \(-0.792460\pi\) |
0.132997 | − | 0.991116i | \(-0.457540\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0.873980 | + | 0.873980i | 0.0298895 | + | 0.0298895i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −24.3711 | + | 24.3711i | −0.832500 | + | 0.832500i | −0.987858 | − | 0.155358i | \(-0.950347\pi\) |
0.155358 | + | 0.987858i | \(0.450347\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −17.9730 | + | 7.44465i | −0.613230 | + | 0.254008i | −0.667609 | − | 0.744512i | \(-0.732682\pi\) |
0.0543788 | + | 0.998520i | \(0.482682\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −4.79894 | + | 11.5857i | −0.163547 | + | 0.394838i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −0.390207 | −0.0132828 | −0.00664139 | − | 0.999978i | \(-0.502114\pi\) | ||||
−0.00664139 | + | 0.999978i | \(0.502114\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 24.8281 | 0.844180 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −6.43839 | + | 15.5436i | −0.218659 | + | 0.527890i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −3.22713 | + | 1.33672i | −0.109473 | + | 0.0453451i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −18.3021 | + | 18.3021i | −0.620144 | + | 0.620144i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 7.45927 | + | 7.45927i | 0.252458 | + | 0.252458i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −22.7831 | − | 55.0032i | −0.770208 | − | 1.85945i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 28.8582 | + | 11.9535i | 0.974472 | + | 0.403640i | 0.812375 | − | 0.583135i | \(-0.198174\pi\) |
0.162097 | + | 0.986775i | \(0.448174\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | − | 14.0674i | − | 0.474482i | ||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | − | 48.5009i | − | 1.63404i | −0.576611 | − | 0.817019i | \(-0.695625\pi\) | ||
0.576611 | − | 0.817019i | \(-0.304375\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 37.6860 | + | 15.6101i | 1.26824 | + | 0.525320i | 0.912427 | − | 0.409238i | \(-0.134206\pi\) |
0.355808 | + | 0.934559i | \(0.384206\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 5.93045 | + | 14.3174i | 0.199350 | + | 0.481274i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −25.0095 | − | 25.0095i | −0.839736 | − | 0.839736i | 0.149088 | − | 0.988824i | \(-0.452366\pi\) |
−0.988824 | + | 0.149088i | \(0.952366\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −51.7964 | + | 51.7964i | −1.73719 | + | 1.73719i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −1.13749 | + | 0.471165i | −0.0381075 | + | 0.0157846i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 2.88153 | − | 6.95664i | 0.0964268 | − | 0.232795i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −36.4830 | −1.21949 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −43.8559 | −1.46430 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −0.888350 | + | 2.14467i | −0.0296281 | + | 0.0715286i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −0.738372 | + | 0.305844i | −0.0245987 | + | 0.0101891i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 15.8270 | − | 15.8270i | 0.526691 | − | 0.526691i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 2.46762 | + | 2.46762i | 0.0820264 | + | 0.0820264i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −9.23765 | − | 22.3017i | −0.306731 | − | 0.740514i | −0.999807 | − | 0.0196496i | \(-0.993745\pi\) |
0.693076 | − | 0.720865i | \(-0.256255\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 14.7491 | + | 6.10929i | 0.489198 | + | 0.202632i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 38.5220i | 1.27629i | 0.769915 | + | 0.638146i | \(0.220298\pi\) | ||||
−0.769915 | + | 0.638146i | \(0.779702\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | − | 10.8623i | − | 0.359489i | ||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −0.133280 | − | 0.0552065i | −0.00440611 | − | 0.00182507i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 5.27971 | + | 12.7464i | 0.174351 | + | 0.420922i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 4.31853 | + | 4.31853i | 0.142455 | + | 0.142455i | 0.774738 | − | 0.632283i | \(-0.217882\pi\) |
−0.632283 | + | 0.774738i | \(0.717882\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 4.16378 | − | 4.16378i | 0.137201 | − | 0.137201i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 33.8524 | − | 14.0221i | 1.11426 | − | 0.461544i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −1.92916 | + | 4.65741i | −0.0634304 | + | 0.153135i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −0.255449 | −0.00839006 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 6.77754 | 0.222364 | 0.111182 | − | 0.993800i | \(-0.464536\pi\) | ||||
0.111182 | + | 0.993800i | \(0.464536\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 5.43627 | − | 13.1243i | 0.178167 | − | 0.430132i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 15.7161 | − | 6.50981i | 0.514521 | − | 0.213122i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −0.577498 | + | 0.577498i | −0.0188862 | + | 0.0188862i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −39.7932 | − | 39.7932i | −1.29999 | − | 1.29999i | −0.928396 | − | 0.371593i | \(-0.878812\pi\) |
−0.371593 | − | 0.928396i | \(-0.621188\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −9.78979 | − | 23.6346i | −0.319478 | − | 0.771287i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −16.5648 | − | 6.86138i | −0.539998 | − | 0.223675i | 0.0959776 | − | 0.995383i | \(-0.469402\pi\) |
−0.635976 | + | 0.771709i | \(0.719402\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 20.3686i | 0.663292i | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 7.94289i | 0.258382i | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −1.69908 | − | 0.703781i | −0.0552126 | − | 0.0228698i | 0.354906 | − | 0.934902i | \(-0.384513\pi\) |
−0.410119 | + | 0.912032i | \(0.634513\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 13.6911 | + | 33.0532i | 0.444431 | + | 1.07295i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 11.6415 | + | 11.6415i | 0.377502 | + | 0.377502i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 14.7617 | − | 14.7617i | 0.478177 | − | 0.478177i | −0.426371 | − | 0.904548i | \(-0.640208\pi\) |
0.904548 | + | 0.426371i | \(0.140208\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −15.3908 | + | 6.37508i | −0.498035 | + | 0.206293i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −1.55657 | + | 3.75790i | −0.0503169 | + | 0.121476i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 74.7535 | 2.41392 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −30.5063 | −0.984073 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −3.57306 | + | 8.62613i | −0.115140 | + | 0.277973i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 21.0554 | − | 8.72143i | 0.677797 | − | 0.280753i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 31.0181 | − | 31.0181i | 0.997474 | − | 0.997474i | −0.00252299 | − | 0.999997i | \(-0.500803\pi\) |
0.999997 | + | 0.00252299i | \(0.000803093\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 0.231469 | + | 0.231469i | 0.00743585 | + | 0.00743585i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 15.9371 | + | 38.4755i | 0.511444 | + | 1.23474i | 0.943043 | + | 0.332670i | \(0.107950\pi\) |
−0.431599 | + | 0.902066i | \(0.642050\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 52.6083 | + | 21.7911i | 1.68654 | + | 0.698589i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | − | 13.4246i | − | 0.429932i | ||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 55.3040i | 1.76933i | 0.466225 | + | 0.884666i | \(0.345614\pi\) | ||||
−0.466225 | + | 0.884666i | \(0.654386\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −8.59957 | − | 3.56206i | −0.274843 | − | 0.113844i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 3.19745 | + | 7.71934i | 0.102087 | + | 0.246459i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 25.0055 | + | 25.0055i | 0.797553 | + | 0.797553i | 0.982709 | − | 0.185156i | \(-0.0592791\pi\) |
−0.185156 | + | 0.982709i | \(0.559279\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −18.4832 | + | 18.4832i | −0.588923 | + | 0.588923i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 44.7056 | − | 18.5177i | 1.42299 | − | 0.589423i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 13.9126 | − | 33.5881i | 0.442396 | − | 1.06804i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −59.9489 | −1.90434 | −0.952169 | − | 0.305572i | \(-0.901152\pi\) | ||||
−0.952169 | + | 0.305572i | \(0.901152\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 9.35032 | 0.296723 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 3.78985 | − | 9.14952i | 0.120146 | − | 0.290059i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −32.0316 | + | 13.2679i | −1.01445 | + | 0.420199i | −0.827076 | − | 0.562090i | \(-0.809998\pi\) |
−0.187374 | + | 0.982289i | \(0.559998\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 1.42849 | − | 1.42849i | 0.0451954 | − | 0.0451954i |
(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.145.1 | 32 | ||
3.2 | odd | 2 | 1152.2.v.c.145.6 | 32 | |||
4.3 | odd | 2 | 96.2.n.a.13.7 | ✓ | 32 | ||
8.3 | odd | 2 | 768.2.n.a.289.4 | 32 | |||
8.5 | even | 2 | 768.2.n.b.289.8 | 32 | |||
12.11 | even | 2 | 288.2.v.d.109.2 | 32 | |||
32.5 | even | 8 | inner | 384.2.n.a.241.1 | 32 | ||
32.11 | odd | 8 | 768.2.n.a.481.4 | 32 | |||
32.21 | even | 8 | 768.2.n.b.481.8 | 32 | |||
32.27 | odd | 8 | 96.2.n.a.37.7 | yes | 32 | ||
96.5 | odd | 8 | 1152.2.v.c.1009.6 | 32 | |||
96.59 | even | 8 | 288.2.v.d.37.2 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
96.2.n.a.13.7 | ✓ | 32 | 4.3 | odd | 2 | ||
96.2.n.a.37.7 | yes | 32 | 32.27 | odd | 8 | ||
288.2.v.d.37.2 | 32 | 96.59 | even | 8 | |||
288.2.v.d.109.2 | 32 | 12.11 | even | 2 | |||
384.2.n.a.145.1 | 32 | 1.1 | even | 1 | trivial | ||
384.2.n.a.241.1 | 32 | 32.5 | even | 8 | inner | ||
768.2.n.a.289.4 | 32 | 8.3 | odd | 2 | |||
768.2.n.a.481.4 | 32 | 32.11 | odd | 8 | |||
768.2.n.b.289.8 | 32 | 8.5 | even | 2 | |||
768.2.n.b.481.8 | 32 | 32.21 | even | 8 | |||
1152.2.v.c.145.6 | 32 | 3.2 | odd | 2 | |||
1152.2.v.c.1009.6 | 32 | 96.5 | odd | 8 |