Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [804,2,Mod(41,804)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(804, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 33, 53]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("804.41");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 804 = 2^{2} \cdot 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 804.ba (of order \(66\), degree \(20\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.41997232251\) |
Analytic rank: | \(0\) |
Dimension: | \(440\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{66})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{66}]$ |
Embedding invariants
Embedding label | 41.13 | ||
Character | \(\chi\) | \(=\) | 804.41 |
Dual form | 804.2.ba.b.353.13 |
$q$-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 \(\left(\mathbb{Z}/804\mathbb{Z}\right)^\times\).
\(n\) | \(269\) | \(337\) | \(403\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{53}{66}\right)\) | \(1\) |
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 | ||||||||
\(3\) | 0.354927 | − | 1.69530i | 0.204917 | − | 0.978779i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −0.606307 | + | 4.21696i | −0.271149 | + | 1.88588i | 0.165442 | + | 0.986220i | \(0.447095\pi\) |
−0.436590 | + | 0.899660i | \(0.643814\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.295017 | − | 3.08956i | −0.111506 | − | 1.16774i | −0.862015 | − | 0.506883i | \(-0.830798\pi\) |
0.750509 | − | 0.660860i | \(-0.229808\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −2.74805 | − | 1.20341i | −0.916018 | − | 0.401137i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −5.34850 | + | 2.14122i | −1.61263 | + | 0.645601i | −0.990525 | − | 0.137330i | \(-0.956148\pi\) |
−0.622108 | + | 0.782931i | \(0.713724\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.06287 | + | 1.11471i | 0.294787 | + | 0.309164i | 0.854426 | − | 0.519573i | \(-0.173909\pi\) |
−0.559639 | + | 0.828736i | \(0.689060\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 6.93379 | + | 2.52458i | 1.79030 | + | 0.651844i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −3.13592 | + | 1.08535i | −0.760572 | + | 0.263236i | −0.679702 | − | 0.733488i | \(-0.737891\pi\) |
−0.0808697 | + | 0.996725i | \(0.525770\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.373168 | + | 0.0356332i | 0.0856105 | + | 0.00817481i | 0.137773 | − | 0.990464i | \(-0.456005\pi\) |
−0.0521629 | + | 0.998639i | \(0.516611\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −5.34242 | − | 0.596426i | −1.16581 | − | 0.130151i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 3.36039 | − | 0.160075i | 0.700690 | − | 0.0333780i | 0.305786 | − | 0.952100i | \(-0.401081\pi\) |
0.394904 | + | 0.918722i | \(0.370778\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −12.6176 | − | 3.70487i | −2.52353 | − | 0.740975i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −3.01550 | + | 4.23164i | −0.580333 | + | 0.814380i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −5.55526 | + | 3.20733i | −1.03159 | + | 0.595586i | −0.917438 | − | 0.397878i | \(-0.869747\pi\) |
−0.114147 | + | 0.993464i | \(0.536414\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −5.06664 | + | 5.31374i | −0.909996 | + | 0.954376i | −0.999133 | − | 0.0416434i | \(-0.986741\pi\) |
0.0891369 | + | 0.996019i | \(0.471589\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 1.73167 | + | 9.82726i | 0.301445 | + | 1.71071i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 13.2074 | + | 0.629146i | 2.23246 | + | 0.106345i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 2.92489 | − | 5.06605i | 0.480848 | − | 0.832854i | −0.518910 | − | 0.854829i | \(-0.673662\pi\) |
0.999759 | + | 0.0219750i | \(0.00699543\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 2.26700 | − | 1.40624i | 0.363010 | − | 0.225178i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −10.4018 | − | 2.00479i | −1.62449 | − | 0.313095i | −0.705903 | − | 0.708308i | \(-0.749459\pi\) |
−0.918590 | + | 0.395213i | \(0.870671\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.118743 | + | 0.102891i | 0.0181081 | + | 0.0156908i | 0.663868 | − | 0.747850i | \(-0.268914\pi\) |
−0.645760 | + | 0.763541i | \(0.723459\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 6.74090 | − | 10.8588i | 1.00487 | − | 1.61873i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 2.91118 | − | 5.64690i | 0.424639 | − | 0.823685i | −0.575344 | − | 0.817911i | \(-0.695132\pi\) |
0.999983 | − | 0.00577368i | \(-0.00183783\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −2.58483 | + | 0.498185i | −0.369261 | + | 0.0711692i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0.726970 | + | 5.70153i | 0.101796 | + | 0.798374i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 1.39615 | + | 1.61125i | 0.191776 | + | 0.221322i | 0.843492 | − | 0.537142i | \(-0.180496\pi\) |
−0.651716 | + | 0.758463i | \(0.725950\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −5.78658 | − | 23.8526i | −0.780263 | − | 3.21629i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0.192856 | − | 0.619982i | 0.0255444 | − | 0.0821186i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 0.864195 | + | 2.94318i | 0.112509 | + | 0.383169i | 0.996426 | − | 0.0844747i | \(-0.0269212\pi\) |
−0.883917 | + | 0.467644i | \(0.845103\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −5.18649 | + | 12.9552i | −0.664062 | + | 1.65875i | 0.0851109 | + | 0.996371i | \(0.472876\pi\) |
−0.749173 | + | 0.662375i | \(0.769549\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −2.90729 | + | 8.84530i | −0.366284 | + | 1.11440i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −5.34509 | + | 3.80622i | −0.662977 | + | 0.472104i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 1.49951 | + | 8.04683i | 0.183194 | + | 0.983077i | ||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 0.921319 | − | 5.75367i | 0.110914 | − | 0.692661i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 4.54395 | + | 1.57268i | 0.539268 | + | 0.186642i | 0.583106 | − | 0.812396i | \(-0.301837\pi\) |
−0.0438379 | + | 0.999039i | \(0.513959\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 2.76888 | + | 1.10849i | 0.324073 | + | 0.129739i | 0.527994 | − | 0.849248i | \(-0.322944\pi\) |
−0.203921 | + | 0.978987i | \(0.565369\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −10.7592 | + | 20.0757i | −1.24237 | + | 2.31814i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 8.19331 | + | 15.8928i | 0.933714 | + | 1.81115i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 0.363719 | − | 0.0882373i | 0.0409216 | − | 0.00992748i | −0.215246 | − | 0.976560i | \(-0.569055\pi\) |
0.256167 | + | 0.966632i | \(0.417540\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 6.10360 | + | 6.61408i | 0.678178 | + | 0.734898i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 6.94036 | − | 8.82538i | 0.761803 | − | 0.968712i | −0.238194 | − | 0.971218i | \(-0.576555\pi\) |
0.999997 | + | 0.00250596i | \(0.000797672\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −2.67555 | − | 13.8821i | −0.290204 | − | 1.50572i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 3.46566 | + | 10.5562i | 0.371558 | + | 1.13174i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −1.23838 | + | 1.92696i | −0.131268 | + | 0.204258i | −0.900665 | − | 0.434513i | \(-0.856920\pi\) |
0.769397 | + | 0.638771i | \(0.220557\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 3.13038 | − | 3.61265i | 0.328153 | − | 0.378709i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 7.21007 | + | 10.4754i | 0.747650 | + | 1.08625i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −0.376518 | + | 1.55203i | −0.0386299 | + | 0.159235i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −0.393962 | − | 0.227454i | −0.0400008 | − | 0.0230945i | 0.479866 | − | 0.877342i | \(-0.340685\pi\) |
−0.519867 | + | 0.854247i | \(0.674019\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 17.2747 | + | 0.552271i | 1.73618 | + | 0.0555053i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 7.12702 | − | 10.0085i | 0.709165 | − | 0.995882i | −0.290079 | − | 0.957003i | \(-0.593682\pi\) |
0.999244 | − | 0.0388797i | \(-0.0123789\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −13.1880 | − | 12.5747i | −1.29945 | − | 1.23902i | −0.953723 | − | 0.300686i | \(-0.902784\pi\) |
−0.345726 | − | 0.938336i | \(-0.612367\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 5.75425 | − | 22.1671i | 0.561557 | − | 2.16329i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −1.02067 | + | 0.146751i | −0.0986721 | + | 0.0141869i | −0.191474 | − | 0.981498i | \(-0.561327\pi\) |
0.0928019 | + | 0.995685i | \(0.470418\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −3.29791 | + | 11.2316i | −0.315882 | + | 1.07580i | 0.636598 | + | 0.771196i | \(0.280341\pi\) |
−0.952480 | + | 0.304601i | \(0.901477\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −7.55033 | − | 6.75662i | −0.716646 | − | 0.641310i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −7.84294 | + | 6.16776i | −0.737802 | + | 0.580214i | −0.914757 | − | 0.404005i | \(-0.867618\pi\) |
0.176955 | + | 0.984219i | \(0.443375\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −1.36240 | + | 14.2677i | −0.127044 | + | 1.33047i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −1.57937 | − | 4.34234i | −0.146013 | − | 0.401450i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 4.27841 | + | 9.36840i | 0.392201 | + | 0.858800i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 16.0606 | − | 15.3137i | 1.46005 | − | 1.39216i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −7.09060 | + | 16.9226i | −0.639338 | + | 1.52586i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 14.4244 | − | 31.5851i | 1.29016 | − | 2.82506i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 6.65841 | − | 0.635801i | 0.590839 | − | 0.0564183i | 0.204645 | − | 0.978836i | \(-0.434396\pi\) |
0.386193 | + | 0.922418i | \(0.373790\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 0.216576 | − | 0.164785i | 0.0190685 | − | 0.0145085i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −2.72329 | − | 4.23752i | −0.237935 | − | 0.370234i | 0.701666 | − | 0.712506i | \(-0.252440\pi\) |
−0.939601 | + | 0.342272i | \(0.888803\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | − | 1.16343i | − | 0.100883i | ||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −16.0163 | − | 15.2819i | −1.37847 | − | 1.31526i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 14.7333 | − | 9.46850i | 1.25875 | − | 0.808948i | 0.270636 | − | 0.962682i | \(-0.412766\pi\) |
0.988112 | + | 0.153734i | \(0.0491298\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 8.55641 | + | 1.23023i | 0.725746 | + | 0.104346i | 0.495279 | − | 0.868734i | \(-0.335066\pi\) |
0.230466 | + | 0.973080i | \(0.425975\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −8.53991 | − | 6.93955i | −0.719190 | − | 0.584415i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −8.07158 | − | 3.68617i | −0.674980 | − | 0.308253i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −10.1570 | − | 25.3709i | −0.843491 | − | 2.10694i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −0.0728546 | + | 4.55886i | −0.00600894 | + | 0.376009i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −9.94457 | + | 4.54153i | −0.814691 | + | 0.372057i | −0.778779 | − | 0.627298i | \(-0.784161\pi\) |
−0.0359117 | + | 0.999355i | \(0.511433\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 3.03650 | + | 8.77339i | 0.247107 | + | 0.713968i | 0.998533 | + | 0.0541507i | \(0.0172452\pi\) |
−0.751426 | + | 0.659817i | \(0.770634\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 9.92380 | + | 0.791196i | 0.802291 | + | 0.0639644i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −19.3359 | − | 24.5876i | −1.55309 | − | 1.97492i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −0.126031 | − | 2.64571i | −0.0100584 | − | 0.211151i | −0.998301 | − | 0.0582601i | \(-0.981445\pi\) |
0.988243 | − | 0.152891i | \(-0.0488583\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 3.22707 | − | 1.79502i | 0.255924 | − | 0.142354i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −1.48593 | − | 10.3349i | −0.117108 | − | 0.814504i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 7.59768 | + | 13.1596i | 0.595096 | + | 1.03074i | 0.993533 | + | 0.113541i | \(0.0362194\pi\) |
−0.398437 | + | 0.917196i | \(0.630447\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −42.4911 | + | 1.34403i | −3.30792 | + | 0.104633i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −9.89558 | − | 7.04661i | −0.765743 | − | 0.545283i | 0.129117 | − | 0.991629i | \(-0.458786\pi\) |
−0.894860 | + | 0.446346i | \(0.852725\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 0.505688 | − | 10.6157i | 0.0388991 | − | 0.816592i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −0.982603 | − | 0.546996i | −0.0751415 | − | 0.0418298i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −6.27092 | − | 1.52131i | −0.476769 | − | 0.115663i | −0.00982875 | − | 0.999952i | \(-0.503129\pi\) |
−0.466941 | + | 0.884289i | \(0.654644\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −7.72400 | + | 40.0759i | −0.583880 | + | 3.02946i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 5.29628 | − | 0.420453i | 0.398093 | − | 0.0316032i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −19.2913 | − | 12.3978i | −1.44190 | − | 0.926653i | −0.999556 | − | 0.0298077i | \(-0.990511\pi\) |
−0.442344 | − | 0.896845i | \(-0.645853\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −11.7407 | − | 6.05273i | −0.872677 | − | 0.449896i | −0.0371268 | − | 0.999311i | \(-0.511821\pi\) |
−0.835550 | + | 0.549414i | \(0.814851\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 20.1221 | + | 13.3908i | 1.48747 | + | 0.989875i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 19.5899 | + | 15.4057i | 1.44028 | + | 1.13265i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 14.4485 | − | 12.5197i | 1.05658 | − | 0.915530i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 13.9635 | + | 8.06814i | 1.01570 | + | 0.586871i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 2.68091 | − | 1.38211i | 0.193984 | − | 0.100006i | −0.358498 | − | 0.933530i | \(-0.616711\pi\) |
0.552482 | + | 0.833525i | \(0.313681\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 6.64319 | − | 1.95062i | 0.478187 | − | 0.140408i | −0.0337517 | − | 0.999430i | \(-0.510746\pi\) |
0.511939 | + | 0.859022i | \(0.328927\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 4.55555 | + | 10.4124i | 0.326230 | + | 0.745650i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 3.87942 | − | 11.2088i | 0.276397 | − | 0.798596i | −0.718299 | − | 0.695735i | \(-0.755079\pi\) |
0.994696 | − | 0.102862i | \(-0.0327999\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −11.6192 | − | 16.3169i | −0.823663 | − | 1.15667i | −0.985470 | − | 0.169850i | \(-0.945672\pi\) |
0.161807 | − | 0.986822i | \(-0.448268\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 14.1740 | + | 0.313924i | 0.999755 | + | 0.0221425i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 11.5481 | + | 16.2171i | 0.810519 | + | 1.13822i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 14.7608 | − | 42.6485i | 1.03094 | − | 2.97870i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −9.42717 | − | 3.60404i | −0.655234 | − | 0.250498i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −2.07219 | + | 0.608449i | −0.143336 | + | 0.0420873i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 22.8993 | − | 11.8054i | 1.57645 | − | 0.812718i | 0.576463 | − | 0.817123i | \(-0.304433\pi\) |
0.999990 | + | 0.00440540i | \(0.00140229\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 4.27892 | − | 7.14516i | 0.293187 | − | 0.489578i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −0.505882 | + | 0.438350i | −0.0345009 | + | 0.0298952i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 17.9118 | + | 14.0860i | 1.21594 | + | 0.956222i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 2.86197 | − | 4.30063i | 0.193394 | − | 0.290610i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −4.54292 | − | 2.34204i | −0.305590 | − | 0.157543i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −11.7753 | − | 7.56750i | −0.788530 | − | 0.506757i | 0.0833246 | − | 0.996522i | \(-0.473446\pi\) |
−0.871854 | + | 0.489765i | \(0.837083\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 30.2155 | + | 25.3654i | 2.01436 | + | 1.69103i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −4.97463 | + | 25.8108i | −0.330178 | + | 1.71312i | 0.314999 | + | 0.949092i | \(0.397996\pi\) |
−0.645177 | + | 0.764033i | \(0.723216\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 6.42665 | + | 1.55909i | 0.424685 | + | 0.103027i | 0.442405 | − | 0.896816i | \(-0.354126\pi\) |
−0.0177199 | + | 0.999843i | \(0.505641\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 29.8510 | − | 8.24930i | 1.96405 | − | 0.542764i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −0.980955 | + | 20.5928i | −0.0642645 | + | 1.34908i | 0.704572 | + | 0.709632i | \(0.251139\pi\) |
−0.768837 | + | 0.639445i | \(0.779164\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 22.0477 | + | 15.7001i | 1.43823 | + | 1.02416i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −0.0204946 | − | 0.647929i | −0.00133127 | − | 0.0420875i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 3.37469 | + | 5.84513i | 0.218290 | + | 0.378090i | 0.954285 | − | 0.298897i | \(-0.0966186\pi\) |
−0.735995 | + | 0.676987i | \(0.763285\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 3.90362 | + | 27.1503i | 0.251454 | + | 1.74890i | 0.589496 | + | 0.807771i | \(0.299326\pi\) |
−0.338042 | + | 0.941131i | \(0.609765\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 13.3792 | − | 7.99989i | 0.858273 | − | 0.513193i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −0.533624 | − | 11.2022i | −0.0340920 | − | 0.715679i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0.356908 | + | 0.453845i | 0.0227095 | + | 0.0288775i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −12.4983 | − | 14.8983i | −0.792048 | − | 0.944143i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −3.62965 | − | 10.4872i | −0.229101 | − | 0.661945i | −0.999697 | − | 0.0246205i | \(-0.992162\pi\) |
0.770595 | − | 0.637325i | \(-0.219959\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −17.6303 | + | 8.05149i | −1.10841 | + | 0.506193i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −24.4839 | − | 0.391273i | −1.53324 | − | 0.0245025i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 7.02930 | + | 17.5583i | 0.438475 | + | 1.09526i | 0.968884 | + | 0.247516i | \(0.0796144\pi\) |
−0.530408 | + | 0.847742i | \(0.677961\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −16.5147 | − | 7.54203i | −1.02618 | − | 0.468639i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 19.1259 | − | 2.12865i | 1.18386 | − | 0.131760i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −13.9779 | − | 2.00973i | −0.861917 | − | 0.123925i | −0.302841 | − | 0.953041i | \(-0.597935\pi\) |
−0.559076 | + | 0.829116i | \(0.688844\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −7.64106 | + | 4.91061i | −0.469386 | + | 0.301656i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 2.82724 | + | 2.78336i | 0.173024 | + | 0.170339i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 16.1978i | 0.987597i | 0.869576 | + | 0.493799i | \(0.164392\pi\) | ||||
−0.869576 | + | 0.493799i | \(0.835608\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 2.88664 | + | 4.49170i | 0.175351 | + | 0.272851i | 0.917793 | − | 0.397059i | \(-0.129969\pi\) |
−0.742442 | + | 0.669910i | \(0.766333\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −5.01346 | − | 6.58915i | −0.303428 | − | 0.398794i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 75.4184 | − | 7.20158i | 4.54790 | − | 0.434272i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −10.0366 | + | 21.9772i | −0.603043 | + | 1.32048i | 0.324189 | + | 0.945992i | \(0.394909\pi\) |
−0.927232 | + | 0.374487i | \(0.877819\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 20.3180 | − | 8.50519i | 1.21641 | − | 0.509192i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −13.0301 | + | 12.4242i | −0.777312 | + | 0.741166i | −0.970788 | − | 0.239939i | \(-0.922872\pi\) |
0.193476 | + | 0.981105i | \(0.438024\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 1.76612 | + | 3.86727i | 0.104985 | + | 0.229885i | 0.954833 | − | 0.297142i | \(-0.0960336\pi\) |
−0.849848 | + | 0.527028i | \(0.823306\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 2.49751 | + | 1.18916i | 0.147940 | + | 0.0704400i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −3.12519 | + | 32.7285i | −0.184474 | + | 1.93190i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −4.70691 | + | 3.70155i | −0.276877 | + | 0.217738i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −0.525430 | + | 0.587153i | −0.0308012 | + | 0.0344195i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −2.18836 | + | 7.45288i | −0.127845 | + | 0.435402i | −0.998392 | − | 0.0566841i | \(-0.981947\pi\) |
0.870547 | + | 0.492086i | \(0.163765\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −12.9352 | + | 1.85980i | −0.753117 | + | 0.108282i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 7.06753 | − | 29.0898i | 0.410100 | − | 1.68796i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 3.75010 | + | 3.57571i | 0.216874 | + | 0.206789i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0.282857 | − | 0.397217i | 0.0163036 | − | 0.0228952i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −14.4378 | − | 15.6347i | −0.829429 | − | 0.898189i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −51.4870 | − | 29.7260i | −2.94814 | − | 1.70211i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 1.30583 | − | 5.38272i | 0.0745279 | − | 0.307208i | −0.922332 | − | 0.386399i | \(-0.873719\pi\) |
0.996859 | + | 0.0791913i | \(0.0252338\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −25.9986 | + | 17.8944i | −1.47901 | + | 1.01798i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −7.91488 | + | 9.13426i | −0.448812 | + | 0.517956i | −0.934397 | − | 0.356233i | \(-0.884061\pi\) |
0.485586 | + | 0.874189i | \(0.338606\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −15.9193 | + | 24.7709i | −0.899813 | + | 1.40014i | 0.0165828 | + | 0.999862i | \(0.494721\pi\) |
−0.916396 | + | 0.400274i | \(0.868915\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −35.5375 | − | 17.6229i | −2.00231 | − | 0.992936i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −2.77787 | − | 14.4130i | −0.156021 | − | 0.809514i | −0.972637 | − | 0.232332i | \(-0.925364\pi\) |
0.816616 | − | 0.577182i | \(-0.195848\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 22.8447 | − | 29.0494i | 1.27906 | − | 1.62646i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −0.113479 | + | 1.78243i | −0.00633376 | + | 0.0994854i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −1.20890 | + | 0.293275i | −0.0672649 | + | 0.0163183i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −9.28107 | − | 18.0028i | −0.514821 | − | 0.998613i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 17.8704 | + | 9.57734i | 0.988238 | + | 0.529628i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −18.3053 | − | 7.32832i | −1.00920 | − | 0.404024i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 4.93615 | + | 1.70842i | 0.271315 | + | 0.0939031i | 0.459338 | − | 0.888262i | \(-0.348087\pi\) |
−0.188023 | + | 0.982165i | \(0.560208\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −14.1343 | + | 10.4019i | −0.774554 | + | 0.570023i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −34.8423 | + | 1.44452i | −1.90364 | + | 0.0789226i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 15.9342 | − | 11.3467i | 0.867990 | − | 0.618093i | −0.0568779 | − | 0.998381i | \(-0.518115\pi\) |
0.924868 | + | 0.380288i | \(0.124175\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 7.67250 | + | 15.4852i | 0.416713 | + | 0.841041i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 15.7211 | − | 39.2693i | 0.851343 | − | 2.12655i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −3.81898 | − | 13.0062i | −0.206206 | − | 0.702271i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 23.7044 | + | 7.37365i | 1.27620 | + | 0.396984i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 1.90110 | + | 7.83645i | 0.102056 | + | 0.420683i | 0.999803 | − | 0.0198291i | \(-0.00631220\pi\) |
−0.897747 | + | 0.440512i | \(0.854797\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 3.25401 | + | 3.75533i | 0.174183 | + | 0.201018i | 0.836128 | − | 0.548535i | \(-0.184814\pi\) |
−0.661945 | + | 0.749553i | \(0.730269\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −7.92211 | + | 1.13629i | −0.422851 | + | 0.0606507i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 26.5842 | − | 5.12369i | 1.41493 | − | 0.272706i | 0.576228 | − | 0.817289i | \(-0.304524\pi\) |
0.838707 | + | 0.544583i | \(0.183312\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −9.38694 | + | 18.2081i | −0.498207 | + | 0.966387i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 17.4007 | − | 3.92806i | 0.920944 | − | 0.207895i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 15.4265 | + | 13.3671i | 0.814177 | + | 0.705489i | 0.958826 | − | 0.283995i | \(-0.0916597\pi\) |
−0.144649 | + | 0.989483i | \(0.546205\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −18.5187 | − | 3.56918i | −0.974666 | − | 0.187852i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −20.2610 | − | 32.6627i | −1.06342 | − | 1.71435i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −6.35325 | + | 11.0041i | −0.332544 | + | 0.575984i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −17.2173 | − | 0.820159i | −0.898734 | − | 0.0428120i | −0.406872 | − | 0.913485i | \(-0.633381\pi\) |
−0.491862 | + | 0.870673i | \(0.663684\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 26.1722 | + | 18.0270i | 1.36247 | + | 0.938446i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 4.56615 | − | 4.78884i | 0.237063 | − | 0.248624i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −6.10626 | + | 3.52545i | −0.316170 | + | 0.182541i | −0.649684 | − | 0.760204i | \(-0.725099\pi\) |
0.333514 | + | 0.942745i | \(0.391765\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −48.4265 | − | 35.6641i | −2.50073 | − | 1.84169i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −9.47974 | − | 2.78350i | −0.488232 | − | 0.143358i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −0.768266 | + | 0.0365970i | −0.0394632 | + | 0.00187986i | −0.0673042 | − | 0.997732i | \(-0.521440\pi\) |
0.0278410 | + | 0.999612i | \(0.491137\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 1.28538 | − | 11.5136i | 0.0658520 | − | 0.589862i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −7.47379 | − | 0.713661i | −0.381893 | − | 0.0364663i | −0.0976555 | − | 0.995220i | \(-0.531134\pi\) |
−0.284237 | + | 0.958754i | \(0.591740\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −71.9869 | + | 24.9149i | −3.66879 | + | 1.26978i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −0.202491 | − | 0.425647i | −0.0102932 | − | 0.0216369i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 11.1481 | + | 11.6917i | 0.565229 | + | 0.592795i | 0.942872 | − | 0.333156i | \(-0.108114\pi\) |
−0.377643 | + | 0.925951i | \(0.623265\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −10.3642 | + | 4.14919i | −0.524139 | + | 0.209834i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −8.15041 | + | 3.11277i | −0.411134 | + | 0.157018i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 0.151568 | + | 1.58729i | 0.00762619 | + | 0.0798651i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 3.11736 | − | 21.6817i | 0.156456 | − | 1.08818i | −0.748643 | − | 0.662974i | \(-0.769294\pi\) |
0.905099 | − | 0.425202i | \(-0.139797\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −1.97237 | − | 0.412934i | −0.0987418 | − | 0.0206726i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −27.5475 | −1.37566 | −0.687829 | − | 0.725873i | \(-0.741436\pi\) | ||||
−0.687829 | + | 0.725873i | \(0.741436\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −11.3084 | −0.563313 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −31.5919 | + | 21.7284i | −1.56982 | + | 1.07970i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −4.79624 | + | 33.3586i | −0.237741 | + | 1.65352i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 2.08694 | + | 21.8554i | 0.103193 | + | 1.08068i | 0.887656 | + | 0.460507i | \(0.152332\pi\) |
−0.784464 | + | 0.620175i | \(0.787062\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −10.8227 | − | 28.3379i | −0.533843 | − | 1.39780i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 8.83816 | − | 3.53827i | 0.434897 | − | 0.174107i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 33.0083 | + | 34.6181i | 1.62031 | + | 1.69933i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 5.12250 | − | 14.0690i | 0.250850 | − | 0.688962i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 20.6175 | − | 7.13577i | 1.00723 | − | 0.348605i | 0.226862 | − | 0.973927i | \(-0.427153\pi\) |
0.780367 | + | 0.625322i | \(0.215032\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 9.37835 | + | 0.895524i | 0.457073 | + | 0.0436452i | 0.321054 | − | 0.947061i | \(-0.395963\pi\) |
0.136019 | + | 0.990706i | \(0.456569\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −14.7956 | + | 12.0146i | −0.719388 | + | 0.584172i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 43.5890 | − | 2.07640i | 2.11438 | − | 0.100720i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 41.5560 | + | 12.2019i | 2.01104 | + | 0.590493i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −9.11397 | + | 12.3754i | −0.440027 | + | 0.597490i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 23.2702 | − | 13.4351i | 1.12089 | − | 0.647144i | 0.179260 | − | 0.983802i | \(-0.442630\pi\) |
0.941627 | + | 0.336657i | \(0.109296\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −23.0976 | + | 24.2241i | −1.11000 | + | 1.16414i | −0.124899 | + | 0.992169i | \(0.539861\pi\) |
−0.985103 | + | 0.171967i | \(0.944988\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −46.6162 | + | 8.21426i | −2.23507 | + | 0.393844i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 1.25969 | + | 0.0600066i | 0.0602593 | + | 0.00287050i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −7.23239 | + | 12.5269i | −0.345183 | + | 0.597875i | −0.985387 | − | 0.170330i | \(-0.945517\pi\) |
0.640204 | + | 0.768205i | \(0.278850\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 7.70276 | + | 1.74157i | 0.366798 | + | 0.0829321i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −36.6488 | − | 7.06347i | −1.74124 | − | 0.335596i | −0.783097 | − | 0.621900i | \(-0.786361\pi\) |
−0.958139 | + | 0.286304i | \(0.907573\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −7.37508 | − | 6.39054i | −0.349612 | − | 0.302941i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 4.16964 | + | 18.4709i | 0.197217 | + | 0.873643i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −2.78293 | + | 5.39814i | −0.131335 | + | 0.254754i | −0.945328 | − | 0.326120i | \(-0.894259\pi\) |
0.813994 | + | 0.580874i | \(0.197289\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 59.9269 | − | 11.5500i | 2.82185 | − | 0.543866i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 15.9512 | − | 2.03385i | 0.749454 | − | 0.0955587i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 13.3364 | + | 15.3911i | 0.625221 | + | 0.721544i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −2.94610 | − | 12.1440i | −0.137813 | − | 0.568073i | −0.998283 | − | 0.0585720i | \(-0.981345\pi\) |
0.860470 | − | 0.509501i | \(-0.170170\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 4.86353 | − | 16.5430i | 0.227010 | − | 0.772159i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −3.50252 | − | 11.9285i | −0.163129 | − | 0.555566i | −0.999967 | − | 0.00811540i | \(-0.997417\pi\) |
0.836838 | − | 0.547450i | \(-0.184401\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 7.60634 | − | 18.9997i | 0.353497 | − | 0.882992i | −0.639921 | − | 0.768441i | \(-0.721033\pi\) |
0.993417 | − | 0.114551i | \(-0.0365429\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −48.5460 | + | 24.0532i | −2.25127 | + | 1.11544i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −7.51464 | + | 5.35115i | −0.347736 | + | 0.247622i | −0.740557 | − | 0.671993i | \(-0.765438\pi\) |
0.392821 | + | 0.919615i | \(0.371499\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 24.4188 | − | 7.00677i | 1.12755 | − | 0.323543i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −4.53000 | − | 0.725375i | −0.208731 | − | 0.0334235i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −0.855409 | − | 0.296060i | −0.0393317 | − | 0.0136128i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −4.57648 | − | 1.83215i | −0.209983 | − | 0.0840646i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −1.89771 | − | 6.10794i | −0.0868902 | − | 0.279663i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 8.80975 | + | 17.0885i | 0.402528 | + | 0.780795i | 0.999774 | − | 0.0212630i | \(-0.00676873\pi\) |
−0.597246 | + | 0.802058i | \(0.703738\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 8.75593 | − | 2.12417i | 0.399236 | − | 0.0968536i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −18.0481 | − | 1.14904i | −0.821217 | − | 0.0522829i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 1.19803 | − | 1.52341i | 0.0543995 | − | 0.0691747i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 0.0504807 | + | 0.261919i | 0.00228750 | + | 0.0118687i | 0.983055 | − | 0.183313i | \(-0.0586823\pi\) |
−0.980767 | + | 0.195182i | \(0.937470\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 25.0060 | − | 8.20963i | 1.13081 | − | 0.371252i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −4.10090 | + | 6.38112i | −0.185071 | + | 0.287976i | −0.921375 | − | 0.388675i | \(-0.872933\pi\) |
0.736304 | + | 0.676651i | \(0.236569\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 13.9398 | − | 16.0873i | 0.627815 | − | 0.724537i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −12.8027 | + | 72.5119i | −0.575438 | + | 3.25917i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 3.51833 | − | 14.5028i | 0.157819 | − | 0.650538i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −28.5894 | − | 16.5061i | −1.27984 | − | 0.738915i | −0.303019 | − | 0.952984i | \(-0.597995\pi\) |
−0.976818 | + | 0.214070i | \(0.931328\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −15.4583 | + | 14.2749i | −0.690626 | + | 0.637756i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −12.8092 | + | 17.9880i | −0.571133 | + | 0.802045i | −0.994591 | − | 0.103871i | \(-0.966877\pi\) |
0.423457 | + | 0.905916i | \(0.360816\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 37.8842 | + | 36.1225i | 1.68583 | + | 1.60743i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −17.8173 | − | 4.62509i | −0.791293 | − | 0.205407i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −11.2173 | + | 1.61280i | −0.497197 | + | 0.0714861i | −0.386352 | − | 0.922352i | \(-0.626265\pi\) |
−0.110845 | + | 0.993838i | \(0.535356\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 2.60788 | − | 8.88163i | 0.115366 | − | 0.392900i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −1.27607 | + | 1.47166i | −0.0563400 | + | 0.0649753i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 61.0229 | − | 47.9889i | 2.68899 | − | 2.11465i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −3.47921 | + | 36.4359i | −0.153015 | + | 1.60245i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −4.80479 | + | 10.0911i | −0.210907 | + | 0.442951i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 11.8525 | + | 25.9534i | 0.519269 | + | 1.13704i | 0.969715 | + | 0.244238i | \(0.0785377\pi\) |
−0.450446 | + | 0.892804i | \(0.648735\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −9.57913 | + | 9.13368i | −0.418866 | + | 0.399388i | −0.869987 | − | 0.493075i | \(-0.835873\pi\) |
0.451121 | + | 0.892463i | \(0.351024\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 65.1991 | + | 27.3185i | 2.84552 | + | 1.19228i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 10.1213 | − | 22.1625i | 0.440890 | − | 0.965416i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −11.6292 | + | 1.11046i | −0.505619 | + | 0.0482808i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 1.16700 | − | 9.12799i | 0.0506435 | − | 0.396121i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −8.82104 | − | 13.7258i | −0.382082 | − | 0.594531i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | − | 4.39311i | − | 0.189931i | ||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −27.8649 | + | 28.3042i | −1.20246 | + | 1.22141i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 12.7582 | − | 8.19921i | 0.549536 | − | 0.353165i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 29.6342 | + | 4.26075i | 1.27407 | + | 0.183184i | 0.745960 | − | 0.665991i | \(-0.231991\pi\) |
0.528112 | + | 0.849175i | \(0.322900\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −14.4283 | + | 17.7556i | −0.619176 | + | 0.761967i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −45.3638 | − | 20.7170i | −1.94317 | − | 0.887417i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 12.9717 | + | 32.4018i | 0.554631 | + | 1.38540i | 0.895404 | + | 0.445255i | \(0.146887\pi\) |
−0.340773 | + | 0.940146i | \(0.610689\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 29.8432 | − | 29.3602i | 1.27368 | − | 1.25306i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −2.18733 | + | 0.998920i | −0.0931834 | + | 0.0425554i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −0.379918 | − | 1.09770i | −0.0161557 | − | 0.0466789i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 33.0702 | − | 27.7428i | 1.40375 | − | 1.17762i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 13.7885 | + | 17.5335i | 0.584238 | + | 0.742919i | 0.984865 | − | 0.173322i | \(-0.0554502\pi\) |
−0.400627 | + | 0.916241i | \(0.631208\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 0.0115147 | + | 0.241723i | 0.000487020 | + | 0.0102238i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −16.0964 | − | 28.9380i | −0.679591 | − | 1.22176i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 1.75169 | + | 12.1833i | 0.0738250 | + | 0.513464i | 0.992860 | + | 0.119288i | \(0.0380610\pi\) |
−0.919035 | + | 0.394176i | \(0.871030\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −21.2539 | − | 36.8129i | −0.894159 | − | 1.54873i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 18.6339 | − | 20.8087i | 0.782551 | − | 0.873883i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 26.8976 | + | 19.1537i | 1.12761 | + | 0.802965i | 0.982465 | − | 0.186446i | \(-0.0596969\pi\) |
0.145141 | + | 0.989411i | \(0.453636\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 0.0868183 | − | 1.82254i | 0.00363323 | − | 0.0762710i | −0.996322 | − | 0.0856827i | \(-0.972693\pi\) |
0.999956 | + | 0.00941174i | \(0.00299589\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −1.39155 | − | 5.03549i | −0.0581329 | − | 0.210360i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −42.9933 | − | 10.4301i | −1.79294 | − | 0.434963i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −0.209927 | + | 1.08920i | −0.00873936 | + | 0.0453441i | −0.986037 | − | 0.166529i | \(-0.946744\pi\) |
0.977297 | + | 0.211873i | \(0.0679563\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −0.949025 | − | 11.9545i | −0.0394401 | − | 0.496812i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −29.3141 | − | 18.8390i | −1.21615 | − | 0.781573i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −10.9174 | − | 5.62829i | −0.452151 | − | 0.233100i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 19.2690 | − | 4.02736i | 0.796677 | − | 0.166511i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −14.1258 | − | 11.1087i | −0.583036 | − | 0.458505i | 0.282559 | − | 0.959250i | \(-0.408817\pi\) |
−0.865595 | + | 0.500746i | \(0.833059\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −2.08005 | + | 1.80238i | −0.0857070 | + | 0.0742656i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −17.6254 | − | 10.5551i | −0.725011 | − | 0.434178i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −9.58828 | + | 4.94310i | −0.393744 | + | 0.202989i | −0.643717 | − | 0.765264i | \(-0.722608\pi\) |
0.249973 | + | 0.968253i | \(0.419578\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −42.1002 | + | 12.3617i | −1.72594 | + | 0.506781i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −31.7859 | + | 13.9067i | −1.30091 | + | 0.569162i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 1.04442 | − | 3.01765i | 0.0426738 | − | 0.123298i | −0.921651 | − | 0.388020i | \(-0.873159\pi\) |
0.964325 | + | 0.264722i | \(0.0852803\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −3.69220 | − | 5.18497i | −0.150608 | − | 0.211499i | 0.732379 | − | 0.680898i | \(-0.238410\pi\) |
−0.882986 | + | 0.469399i | \(0.844471\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 5.56292 | − | 23.9176i | 0.226539 | − | 0.974002i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 54.8397 | + | 77.0115i | 2.22955 | + | 3.13096i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 4.49809 | − | 12.9964i | 0.182572 | − | 0.527506i | −0.816162 | − | 0.577824i | \(-0.803902\pi\) |
0.998733 | + | 0.0503174i | \(0.0160233\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 31.5915 | − | 13.8216i | 1.28015 | − | 0.560080i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 9.38884 | − | 2.75681i | 0.379832 | − | 0.111529i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −23.7393 | + | 12.2385i | −0.958823 | + | 0.494308i | −0.865270 | − | 0.501307i | \(-0.832853\pi\) |
−0.0935533 | + | 0.995614i | \(0.529823\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −67.0629 | − | 40.1610i | −2.70424 | − | 1.61945i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 4.81268 | − | 4.17021i | 0.193751 | − | 0.167886i | −0.552583 | − | 0.833458i | \(-0.686358\pi\) |
0.746334 | + | 0.665572i | \(0.231812\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −12.7834 | − | 10.0530i | −0.513809 | − | 0.404064i | 0.327308 | − | 0.944918i | \(-0.393859\pi\) |
−0.841116 | + | 0.540854i | \(0.818101\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −9.45587 | + | 14.7027i | −0.379451 | + | 0.589998i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 6.31881 | + | 3.25757i | 0.253158 | + | 0.130512i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 69.1337 | + | 44.4295i | 2.76535 | + | 1.77718i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 0.296026 | + | 3.72892i | 0.0118221 | + | 0.148919i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −3.67376 | + | 19.0613i | −0.146482 | + | 0.760022i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 34.7069 | + | 8.41980i | 1.38166 | + | 0.335187i | 0.856645 | − | 0.515906i | \(-0.172545\pi\) |
0.525014 | + | 0.851093i | \(0.324060\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −11.8861 | − | 43.0111i | −0.472429 | − | 1.70954i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −1.35589 | + | 28.4637i | −0.0538070 | + | 1.12955i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −3.30266 | − | 2.35182i | −0.130856 | − | 0.0931823i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −10.5944 | − | 9.79005i | −0.419110 | − | 0.387288i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 1.91537 | + | 3.31751i | 0.0756524 | + | 0.131034i | 0.901370 | − | 0.433050i | \(-0.142563\pi\) |
−0.825717 | + | 0.564084i | \(0.809229\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −4.05839 | − | 28.2267i | −0.160047 | − | 1.11315i | −0.898540 | − | 0.438892i | \(-0.855371\pi\) |
0.738492 | − | 0.674262i | \(-0.235538\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0.563581 | + | 1.01320i | 0.0221910 | + | 0.0398948i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −1.47317 | − | 30.9257i | −0.0579164 | − | 1.21581i | −0.821539 | − | 0.570152i | \(-0.806884\pi\) |
0.763623 | − | 0.645663i | \(-0.223419\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −10.9241 | − | 13.8912i | −0.428809 | − | 0.545275i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 30.2374 | − | 25.3664i | 1.18510 | − | 0.994186i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 4.31635 | + | 12.4713i | 0.168912 | + | 0.488038i | 0.997408 | − | 0.0719565i | \(-0.0229243\pi\) |
−0.828496 | + | 0.559995i | \(0.810803\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 19.5206 | − | 8.91475i | 0.762732 | − | 0.348328i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −6.27505 | − | 6.37830i | −0.244813 | − | 0.248841i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −4.60925 | − | 11.5134i | −0.179551 | − | 0.448497i | 0.811102 | − | 0.584905i | \(-0.198868\pi\) |
−0.990653 | + | 0.136408i | \(0.956444\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −38.1537 | − | 17.4242i | −1.48401 | − | 0.677723i | −0.501707 | − | 0.865038i | \(-0.667294\pi\) |
−0.982300 | + | 0.187314i | \(0.940022\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −5.58285 | + | 6.87034i | −0.216820 | + | 0.266822i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 4.90615 | + | 0.705398i | 0.190252 | + | 0.0273542i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −18.1544 | + | 11.6671i | −0.702942 | + | 0.451754i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −17.0085 | + | 17.2766i | −0.657587 | + | 0.667953i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | − | 80.3964i | − | 3.10367i | ||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −3.70299 | − | 5.76197i | −0.142740 | − | 0.222107i | 0.762521 | − | 0.646963i | \(-0.223961\pi\) |
−0.905261 | + | 0.424856i | \(0.860325\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 53.7262 | − | 42.2213i | 2.06792 | − | 1.62510i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 14.1584 | − | 1.35197i | 0.544153 | − | 0.0519603i | 0.180640 | − | 0.983549i | \(-0.442183\pi\) |
0.363513 | + | 0.931589i | \(0.381577\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −0.586507 | + | 1.28427i | −0.0225081 | + | 0.0492858i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 41.9914 | + | 17.5944i | 1.60911 | + | 0.674220i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −25.8052 | + | 24.6052i | −0.987407 | + | 0.941490i | −0.998290 | − | 0.0584504i | \(-0.981384\pi\) |
0.0108837 | + | 0.999941i | \(0.496536\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 30.9953 | + | 67.8703i | 1.18427 | + | 2.59319i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 4.92410 | − | 10.3417i | 0.187866 | − | 0.394561i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −0.312137 | + | 3.26885i | −0.0118915 | + | 0.124533i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −19.2125 | + | 15.1089i | −0.730879 | + | 0.574770i | −0.912733 | − | 0.408556i | \(-0.866033\pi\) |
0.181854 | + | 0.983325i | \(0.441790\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −3.39007 | − | 53.5342i | −0.128778 | − | 2.03360i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −10.3756 | + | 35.3361i | −0.393570 | + | 1.34038i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 34.7952 | − | 5.00279i | 1.31796 | − | 0.189494i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 34.5627 | + | 8.97194i | 1.30728 | + | 0.339350i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −18.2783 | − | 17.4283i | −0.690361 | − | 0.658258i | 0.261353 | − | 0.965243i | \(-0.415831\pi\) |
−0.951714 | + | 0.306986i | \(0.900680\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 1.27199 | − | 1.78626i | 0.0479741 | − | 0.0673702i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 34.4416 | − | 31.8049i | 1.29714 | − | 1.19784i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −33.0244 | − | 19.0666i | −1.24201 | − | 0.717075i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −4.47237 | + | 18.4354i | −0.167964 | + | 0.692355i | 0.824081 | + | 0.566471i | \(0.191692\pi\) |
−0.992045 | + | 0.125884i | \(0.959823\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −1.10571 | − | 0.195223i | −0.0414672 | − | 0.00732144i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −16.1753 | + | 18.6673i | −0.605770 | + | 0.699096i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 20.4383 | − | 31.8026i | 0.764348 | − | 1.18935i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 11.1070 | − | 3.64650i | 0.414798 | − | 0.136181i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −1.18605 | − | 6.15381i | −0.0442322 | − | 0.229498i | 0.953085 | − | 0.302704i | \(-0.0978892\pi\) |
−0.997317 | + | 0.0732054i | \(0.976677\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −34.9596 | + | 44.4547i | −1.30196 | + | 1.65558i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 47.4132 | + | 3.01857i | 1.76332 | + | 0.112262i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 81.9770 | − | 19.8874i | 3.04455 | − | 0.738600i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 21.9554 | + | 42.5875i | 0.814279 | + | 1.57948i | 0.814985 | + | 0.579482i | \(0.196745\pi\) |
−0.000705458 | 1.00000i | \(0.500225\pi\) | ||||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −8.81355 | − | 25.5210i | −0.326428 | − | 0.945222i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −0.484041 | − | 0.193781i | −0.0179029 | − | 0.00716724i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 22.7614 | + | 7.87781i | 0.840713 | + | 0.290973i | 0.713285 | − | 0.700874i | \(-0.247207\pi\) |
0.127428 | + | 0.991848i | \(0.459328\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −19.1804 | − | 3.07129i | −0.707478 | − | 0.113286i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −25.2501 | − | 39.8277i | −0.930101 | − | 1.46707i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 14.7241 | − | 10.4850i | 0.541635 | − | 0.385696i | −0.276244 | − | 0.961088i | \(-0.589090\pi\) |
0.817878 | + | 0.575391i | \(0.195150\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0.896078 | − | 0.443983i | 0.0329183 | − | 0.0163101i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 0.522599 | − | 1.30539i | 0.0191723 | − | 0.0478901i | −0.918473 | − | 0.395484i | \(-0.870577\pi\) |
0.937645 | + | 0.347594i | \(0.113001\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −13.1220 | − | 44.6894i | −0.480752 | − | 1.63729i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −29.6931 | + | 15.9005i | −1.08641 | + | 0.581770i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 0.754510 | + | 3.11013i | 0.0275692 | + | 0.113642i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 24.2455 | + | 27.9808i | 0.884732 | + | 1.02104i | 0.999617 | + | 0.0276568i | \(0.00880456\pi\) |
−0.114885 | + | 0.993379i | \(0.536650\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −19.0671 | + | 2.43114i | −0.694845 | + | 0.0885958i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −38.8380 | + | 7.48542i | −1.41346 | + | 0.272422i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 3.14182 | − | 6.09427i | 0.114191 | − | 0.221500i | −0.824813 | − | 0.565406i | \(-0.808720\pi\) |
0.939004 | + | 0.343905i | \(0.111750\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 7.39218 | + | 32.7463i | 0.268319 | + | 1.18861i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −36.1610 | − | 31.3337i | −1.31084 | − | 1.13585i | −0.981464 | − | 0.191645i | \(-0.938618\pi\) |
−0.329371 | − | 0.944201i | \(-0.606837\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 35.6738 | + | 6.87555i | 1.29148 | + | 0.248912i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −9.35330 | + | 41.3685i | −0.338169 | + | 1.49568i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −2.36225 | + | 4.09154i | −0.0852959 | + | 0.147737i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −20.6084 | − | 0.981699i | −0.743158 | − | 0.0354010i | −0.327412 | − | 0.944882i | \(-0.606176\pi\) |
−0.415746 | + | 0.909481i | \(0.636479\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 32.2614 | − | 5.68481i | 1.16187 | − | 0.204733i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −28.8887 | + | 30.2976i | −1.03905 | + | 1.08973i | −0.0431718 | + | 0.999068i | \(0.513746\pi\) |
−0.995882 | + | 0.0906604i | \(0.971102\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 83.6158 | − | 48.2756i | 3.00357 | − | 1.73411i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −18.6475 | + | 25.3205i | −0.668975 | + | 0.908368i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −3.81019 | − | 1.11877i | −0.136514 | − | 0.0400842i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −27.6708 | + | 1.31812i | −0.990138 | + | 0.0471661i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 3.17960 | − | 33.1795i | 0.113630 | − | 1.18574i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 11.2333 | + | 1.07265i | 0.400933 | + | 0.0382844i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 13.3927 | − | 4.63524i | 0.477397 | − | 0.165229i | −0.0777638 | − | 0.996972i | \(-0.524778\pi\) |
0.555161 | + | 0.831743i | \(0.312657\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −8.36823 | + | 22.9834i | −0.297917 | + | 0.818232i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 21.3694 | + | 22.4116i | 0.759810 | + | 0.796865i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −19.9538 | + | 7.98830i | −0.708581 | + | 0.283673i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 5.61292 | + | 14.6968i | 0.199070 | + | 0.521240i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 0.0339439 | + | 0.355477i | 0.00120236 | + | 0.0125916i | 0.996053 | − | 0.0887583i | \(-0.0282899\pi\) |
−0.994851 | + | 0.101350i | \(0.967684\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −3.00035 | + | 20.8679i | −0.106145 | + | 0.738252i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 5.72208 | − | 3.80511i | 0.202180 | − | 0.134447i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −17.1829 | −0.606370 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 44.4827 | 1.56781 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 27.4601 | + | 5.74903i | 0.966640 | + | 0.202376i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −2.85633 | + | 19.8662i | −0.100423 | + | 0.698459i | 0.875955 | + | 0.482392i | \(0.160232\pi\) |
−0.976379 | + | 0.216067i | \(0.930677\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 4.90615 | + | 51.3796i | 0.172278 | + | 1.80418i | 0.507088 | + | 0.861894i | \(0.330722\pi\) |
−0.334809 | + | 0.942286i | \(0.608672\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 8.63930 | − | 3.29948i | 0.302994 | − | 0.115718i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −60.0998 | + | 24.0603i | −2.10521 | + | 0.842797i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 0.0406446 | + | 0.0426269i | 0.00142198 | + | 0.00149133i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −12.9500 | + | 6.16063i | −0.452509 | + | 0.215270i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 21.7404 | − | 7.52442i | 0.758744 | − | 0.262604i | 0.0798172 | − | 0.996810i | \(-0.474566\pi\) |
0.678927 | + | 0.734206i | \(0.262445\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −31.5999 | − | 3.01742i | −1.10150 | − | 0.105181i | −0.471569 | − | 0.881829i | \(-0.656312\pi\) |
−0.629934 | + | 0.776648i | \(0.716918\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 14.5592 | − | 130.413i | 0.506886 | − | 4.54038i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 43.2640 | − | 2.06092i | 1.50444 | − | 0.0716651i | 0.720912 | − | 0.693027i | \(-0.243723\pi\) |
0.783524 | + | 0.621362i | \(0.213420\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −33.1925 | − | 9.74620i | −1.15282 | − | 0.338499i | −0.351183 | − | 0.936307i | \(-0.614221\pi\) |
−0.801640 | + | 0.597807i | \(0.796039\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 33.6955 | + | 24.8153i | 1.16888 | + | 0.860835i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 7.56510 | − | 4.36771i | 0.262115 | − | 0.151332i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 35.7150 | − | 37.4568i | 1.23597 | − | 1.29625i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −7.20739 | − | 37.4638i | −0.249124 | − | 1.29494i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −30.6174 | − | 1.45849i | −1.05703 | − | 0.0503525i | −0.488139 | − | 0.872766i | \(-0.662324\pi\) |
−0.568890 | + | 0.822413i | \(0.692627\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 6.07393 | − | 10.5204i | 0.209446 | − | 0.362771i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 16.4380 | + | 26.4996i | 0.566153 | + | 0.912695i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 44.4593 | + | 8.56884i | 1.52945 | + | 0.294777i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −52.0508 | − | 45.1022i | −1.78849 | − | 1.54973i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 7.18301 | − | 1.62150i | 0.246520 | − | 0.0556498i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 9.01781 | − | 17.4921i | 0.309127 | − | 0.599622i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 8.39092 | − | 1.61722i | 0.287300 | − | 0.0553725i | −0.0435653 | − | 0.999051i | \(-0.513872\pi\) |
0.330865 | + | 0.943678i | \(0.392660\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 2.90242 | − | 3.81195i | 0.0992606 | − | 0.130366i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −29.8887 | − | 34.4934i | −1.02098 | − | 1.17827i | −0.983856 | − | 0.178961i | \(-0.942726\pi\) |
−0.0371221 | − | 0.999311i | \(-0.511819\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 2.75206 | + | 11.3441i | 0.0938990 | + | 0.387057i | 0.999296 | − | 0.0375083i | \(-0.0119421\pi\) |
−0.905397 | + | 0.424565i | \(0.860427\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 54.3752 | + | 16.9143i | 1.85310 | + | 0.576439i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −4.01477 | − | 13.6730i | −0.136664 | − | 0.465436i | 0.862511 | − | 0.506038i | \(-0.168891\pi\) |
−0.999175 | + | 0.0406022i | \(0.987072\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 10.2174 | − | 25.5218i | 0.347402 | − | 0.867768i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 4.60462 | + | 9.29338i | 0.156381 | + | 0.315620i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −1.75642 | + | 1.25074i | −0.0595824 | + | 0.0424284i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −7.37606 | + | 10.2242i | −0.249928 | + | 0.346435i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 0.808908 | + | 1.09915i | 0.0273774 | + | 0.0372008i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −101.840 | − | 35.2470i | −3.44280 | − | 1.19157i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −22.8715 | − | 9.15635i | −0.772314 | − | 0.309188i | −0.0481723 | − | 0.998839i | \(-0.515340\pi\) |
−0.724142 | + | 0.689651i | \(0.757764\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 11.8581 | + | 6.35515i | 0.399965 | + | 0.214354i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 11.0138 | + | 21.3637i | 0.371063 | + | 0.719762i | 0.998252 | − | 0.0591053i | \(-0.0188248\pi\) |
−0.627189 | + | 0.778867i | \(0.715794\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 0.596955 | − | 0.144820i | 0.0200891 | − | 0.00487357i | −0.225702 | − | 0.974196i | \(-0.572467\pi\) |
0.245791 | + | 0.969323i | \(0.420952\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −1.43814 | + | 22.5891i | −0.0483425 | + | 0.759324i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 30.6086 | − | 38.9220i | 1.02774 | − | 1.30687i | 0.0769450 | − | 0.997035i | \(-0.475483\pi\) |
0.950790 | − | 0.309836i | \(-0.100274\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −3.92869 | − | 20.3840i | −0.131764 | − | 0.683657i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −46.8073 | − | 22.3063i | −1.56810 | − | 0.747289i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 1.28757 | − | 2.00351i | 0.0430871 | − | 0.0670448i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 63.9773 | − | 73.8337i | 2.13853 | − | 2.46799i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 7.39289 | − | 5.08840i | 0.246841 | − | 0.169897i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 11.1036 | − | 45.7696i | 0.370325 | − | 1.52650i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −6.12699 | − | 3.53742i | −0.204120 | − | 0.117849i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −0.573007 | − | 0.620510i | −0.0190685 | − | 0.0206493i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 32.6426 | − | 45.8401i | 1.08508 | − | 1.52378i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −17.6881 | − | 16.8655i | −0.587323 | − | 0.560011i | 0.337057 | − | 0.941484i | \(-0.390568\pi\) |
−0.924380 | + | 0.381473i | \(0.875417\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −31.6298 | + | 18.9271i | −1.04909 | + | 0.627774i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −9.70330 | + | 1.39512i | −0.321485 | + | 0.0462225i | −0.301168 | − | 0.953571i | \(-0.597376\pi\) |
−0.0203166 | + | 0.999794i | \(0.506467\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −18.2235 | + | 62.0634i | −0.603108 | + | 2.05400i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −68.6685 | + | 76.7351i | −2.27011 | + | 2.53678i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −12.2886 | + | 9.66389i | −0.405807 | + | 0.319130i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 1.71168 | − | 17.9255i | 0.0564632 | − | 0.591309i | −0.922322 | − | 0.386422i | \(-0.873711\pi\) |
0.978785 | − | 0.204888i | \(-0.0656829\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −8.66183 | − | 4.12425i | −0.285417 | − | 0.135899i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 3.07656 | + | 6.73672i | 0.101266 | + | 0.221742i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −55.6743 | + | 53.0853i | −1.83056 | + | 1.74543i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 21.1087 | + | 50.4265i | 0.693300 | + | 1.65622i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 22.5808 | − | 49.4450i | 0.740851 | − | 1.62224i | −0.0412978 | − | 0.999147i | \(-0.513149\pi\) |
0.782149 | − | 0.623091i | \(-0.214123\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −0.982326 | + | 0.0938007i | −0.0321944 | + | 0.00307419i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 12.6761 | + | 16.6600i | 0.414996 | + | 0.545426i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 44.0347 | + | 68.5194i | 1.44009 | + | 2.24082i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 46.2095i | 1.50960i | 0.655956 | + | 0.754799i | \(0.272266\pi\) | ||||
−0.655956 | + | 0.754799i | \(0.727734\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 36.3439 | + | 35.7798i | 1.18604 | + | 1.16763i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −3.19084 | + | 2.05063i | −0.104018 | + | 0.0668485i | −0.591616 | − | 0.806220i | \(-0.701510\pi\) |
0.487597 | + | 0.873069i | \(0.337873\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −35.2751 | − | 5.07180i | −1.14872 | − | 0.165161i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −42.4892 | + | 53.9918i | −1.38217 | + | 1.75635i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −19.4327 | − | 8.87460i | −0.631477 | − | 0.288386i | 0.0738487 | − | 0.997269i | \(-0.476472\pi\) |
−0.705325 | + | 0.708884i | \(0.749199\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 1.70731 | + | 4.26467i | 0.0554218 | + | 0.138437i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −25.4202 | − | 0.406237i | −0.824307 | − | 0.0131731i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 11.1843 | − | 5.10770i | 0.362295 | − | 0.165454i | −0.225947 | − | 0.974140i | \(-0.572548\pi\) |
0.588242 | + | 0.808685i | \(0.299820\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 4.20283 | + | 12.1433i | 0.136000 | + | 0.392947i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −41.1391 | − | 49.0390i | −1.32984 | − | 1.58520i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −33.6000 | − | 42.7259i | −1.08500 | − | 1.37969i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −1.08994 | − | 22.8807i | −0.0351595 | − | 0.738088i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 2.98146 | + | 0.825011i | 0.0960763 | + | 0.0265856i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 4.19785 | + | 29.1967i | 0.135134 | + | 0.939876i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −20.4017 | − | 35.3368i | −0.656075 | − | 1.13636i | −0.981623 | − | 0.190830i | \(-0.938882\pi\) |
0.325548 | − | 0.945526i | \(-0.394451\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 0.0681182 | + | 2.15353i | 0.00218827 | + | 0.0691813i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 26.4067 | + | 18.8041i | 0.847432 | + | 0.603453i | 0.919122 | − | 0.393974i | \(-0.128900\pi\) |
−0.0716902 | + | 0.997427i | \(0.522839\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 1.27657 | − | 26.7985i | 0.0409249 | − | 0.859119i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −33.8141 | + | 9.34449i | −1.08292 | + | 0.299263i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 9.02418 | + | 2.18924i | 0.288709 | + | 0.0700401i | 0.377498 | − | 0.926010i | \(-0.376784\pi\) |
−0.0887889 | + | 0.996050i | \(0.528300\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 2.49745 | − | 12.9580i | 0.0798189 | − | 0.414140i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 22.5791 | − | 26.8964i | 0.720896 | − | 0.858737i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −15.6773 | − | 10.0752i | −0.500030 | − | 0.321350i | 0.266198 | − | 0.963918i | \(-0.414232\pi\) |
−0.766228 | + | 0.642569i | \(0.777869\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 44.9150 | + | 23.1553i | 1.43111 | + | 0.737790i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −18.9207 | + | 28.4318i | −0.602253 | + | 0.904995i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 0.415493 | + | 0.326747i | 0.0132119 | + | 0.0103900i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 16.3701 | − | 14.1848i | 0.520015 | − | 0.450595i | −0.354878 | − | 0.934913i | \(-0.615477\pi\) |
0.874892 | + | 0.484317i | \(0.160932\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 4.64824 | − | 7.76187i | 0.147508 | − | 0.246315i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 75.8523 | − | 39.1046i | 2.40468 | − | 1.23970i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 42.9340 | − | 12.6066i | 1.35973 | − | 0.399254i | 0.481065 | − | 0.876685i | \(-0.340250\pi\) |
0.878669 | + | 0.477431i | \(0.158432\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 12.6177 | + | 27.6537i | 0.399207 | + | 0.874925i |
(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 | 804.2.ba.b.41.13 | yes | 440 | |
3.2 | odd | 2 | inner | 804.2.ba.b.41.3 | ✓ | 440 | |
67.18 | odd | 66 | inner | 804.2.ba.b.353.3 | yes | 440 | |
201.152 | even | 66 | inner | 804.2.ba.b.353.13 | yes | 440 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
804.2.ba.b.41.3 | ✓ | 440 | 3.2 | odd | 2 | inner | |
804.2.ba.b.41.13 | yes | 440 | 1.1 | even | 1 | trivial | |
804.2.ba.b.353.3 | yes | 440 | 67.18 | odd | 66 | inner | |
804.2.ba.b.353.13 | yes | 440 | 201.152 | even | 66 | inner |