Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [804,2,Mod(535,804)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(804, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("804.535");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 804 = 2^{2} \cdot 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 804.e (of order \(2\), degree \(1\), 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: | \(34\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 535.23 | ||
Character | \(\chi\) | \(=\) | 804.535 |
Dual form | 804.2.e.a.535.24 |
$q$-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 \(\left(\mathbb{Z}/804\mathbb{Z}\right)^\times\).
\(n\) | \(269\) | \(337\) | \(403\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.707921 | − | 1.22427i | 0.500576 | − | 0.865693i | ||||
\(3\) | −1.00000 | −0.577350 | ||||||||
\(4\) | −0.997695 | − | 1.73338i | −0.498848 | − | 0.866690i | ||||
\(5\) | − | 3.14565i | − | 1.40678i | −0.710806 | − | 0.703388i | \(-0.751670\pi\) | ||
0.710806 | − | 0.703388i | \(-0.248330\pi\) | |||||||
\(6\) | −0.707921 | + | 1.22427i | −0.289008 | + | 0.499808i | ||||
\(7\) | −1.38193 | −0.522321 | −0.261161 | − | 0.965295i | \(-0.584105\pi\) | ||||
−0.261161 | + | 0.965295i | \(0.584105\pi\) | |||||||
\(8\) | −2.82842 | − | 0.00564312i | −0.999998 | − | 0.00199515i | ||||
\(9\) | 1.00000 | 0.333333 | ||||||||
\(10\) | −3.85114 | − | 2.22687i | −1.21784 | − | 0.704198i | ||||
\(11\) | −2.19154 | −0.660773 | −0.330387 | − | 0.943846i | \(-0.607179\pi\) | ||||
−0.330387 | + | 0.943846i | \(0.607179\pi\) | |||||||
\(12\) | 0.997695 | + | 1.73338i | 0.288010 | + | 0.500384i | ||||
\(13\) | − | 1.11168i | − | 0.308323i | −0.988046 | − | 0.154162i | \(-0.950732\pi\) | ||
0.988046 | − | 0.154162i | \(-0.0492676\pi\) | |||||||
\(14\) | −0.978299 | + | 1.69186i | −0.261461 | + | 0.452170i | ||||
\(15\) | 3.14565i | 0.812203i | ||||||||
\(16\) | −2.00921 | + | 3.45877i | −0.502302 | + | 0.864692i | ||||
\(17\) | 0.639776 | 0.155169 | 0.0775843 | − | 0.996986i | \(-0.475279\pi\) | ||||
0.0775843 | + | 0.996986i | \(0.475279\pi\) | |||||||
\(18\) | 0.707921 | − | 1.22427i | 0.166859 | − | 0.288564i | ||||
\(19\) | − | 2.14755i | − | 0.492682i | −0.969183 | − | 0.246341i | \(-0.920772\pi\) | ||
0.969183 | − | 0.246341i | \(-0.0792283\pi\) | |||||||
\(20\) | −5.45260 | + | 3.13840i | −1.21924 | + | 0.701767i | ||||
\(21\) | 1.38193 | 0.301562 | ||||||||
\(22\) | −1.55144 | + | 2.68304i | −0.330767 | + | 0.572027i | ||||
\(23\) | 5.50995i | 1.14890i | 0.818538 | + | 0.574452i | \(0.194785\pi\) | ||||
−0.818538 | + | 0.574452i | \(0.805215\pi\) | |||||||
\(24\) | 2.82842 | + | 0.00564312i | 0.577349 | + | 0.00115190i | ||||
\(25\) | −4.89510 | −0.979020 | ||||||||
\(26\) | −1.36100 | − | 0.786978i | −0.266913 | − | 0.154339i | ||||
\(27\) | −1.00000 | −0.192450 | ||||||||
\(28\) | 1.37875 | + | 2.39541i | 0.260559 | + | 0.452690i | ||||
\(29\) | 6.70206 | 1.24454 | 0.622271 | − | 0.782802i | \(-0.286210\pi\) | ||||
0.622271 | + | 0.782802i | \(0.286210\pi\) | |||||||
\(30\) | 3.85114 | + | 2.22687i | 0.703118 | + | 0.406569i | ||||
\(31\) | −4.75833 | −0.854620 | −0.427310 | − | 0.904105i | \(-0.640539\pi\) | ||||
−0.427310 | + | 0.904105i | \(0.640539\pi\) | |||||||
\(32\) | 2.81212 | + | 4.90836i | 0.497117 | + | 0.867683i | ||||
\(33\) | 2.19154 | 0.381498 | ||||||||
\(34\) | 0.452911 | − | 0.783262i | 0.0776736 | − | 0.134328i | ||||
\(35\) | 4.34707i | 0.734789i | ||||||||
\(36\) | −0.997695 | − | 1.73338i | −0.166283 | − | 0.288897i | ||||
\(37\) | −10.7663 | −1.76997 | −0.884983 | − | 0.465624i | \(-0.845830\pi\) | ||||
−0.884983 | + | 0.465624i | \(0.845830\pi\) | |||||||
\(38\) | −2.62919 | − | 1.52030i | −0.426511 | − | 0.246625i | ||||
\(39\) | 1.11168i | 0.178011i | ||||||||
\(40\) | −0.0177513 | + | 8.89722i | −0.00280672 | + | 1.40677i | ||||
\(41\) | − | 2.53783i | − | 0.396342i | −0.980167 | − | 0.198171i | \(-0.936500\pi\) | ||
0.980167 | − | 0.198171i | \(-0.0635002\pi\) | |||||||
\(42\) | 0.978299 | − | 1.69186i | 0.150955 | − | 0.261060i | ||||
\(43\) | 5.51787 | 0.841467 | 0.420734 | − | 0.907184i | \(-0.361773\pi\) | ||||
0.420734 | + | 0.907184i | \(0.361773\pi\) | |||||||
\(44\) | 2.18649 | + | 3.79877i | 0.329625 | + | 0.572685i | ||||
\(45\) | − | 3.14565i | − | 0.468926i | ||||||
\(46\) | 6.74569 | + | 3.90061i | 0.994598 | + | 0.575114i | ||||
\(47\) | − | 2.88421i | − | 0.420705i | −0.977626 | − | 0.210353i | \(-0.932539\pi\) | ||
0.977626 | − | 0.210353i | \(-0.0674612\pi\) | |||||||
\(48\) | 2.00921 | − | 3.45877i | 0.290004 | − | 0.499230i | ||||
\(49\) | −5.09026 | −0.727181 | ||||||||
\(50\) | −3.46535 | + | 5.99295i | −0.490074 | + | 0.847531i | ||||
\(51\) | −0.639776 | −0.0895866 | ||||||||
\(52\) | −1.92696 | + | 1.10911i | −0.267221 | + | 0.153806i | ||||
\(53\) | − | 0.00678779i | − | 0.000932375i | −1.00000 | 0.000466188i | \(-0.999852\pi\) | |||
1.00000 | 0.000466188i | \(-0.000148392\pi\) | ||||||||
\(54\) | −0.707921 | + | 1.22427i | −0.0963359 | + | 0.166603i | ||||
\(55\) | 6.89381i | 0.929560i | ||||||||
\(56\) | 3.90869 | + | 0.00779841i | 0.522320 | + | 0.00104211i | ||||
\(57\) | 2.14755i | 0.284450i | ||||||||
\(58\) | 4.74453 | − | 8.20516i | 0.622987 | − | 1.07739i | ||||
\(59\) | 0.119485i | 0.0155556i | 0.999970 | + | 0.00777779i | \(0.00247577\pi\) | ||||
−0.999970 | + | 0.00777779i | \(0.997524\pi\) | |||||||
\(60\) | 5.45260 | − | 3.13840i | 0.703928 | − | 0.405165i | ||||
\(61\) | − | 10.3863i | − | 1.32983i | −0.746917 | − | 0.664917i | \(-0.768467\pi\) | ||
0.746917 | − | 0.664917i | \(-0.231533\pi\) | |||||||
\(62\) | −3.36852 | + | 5.82550i | −0.427802 | + | 0.739839i | ||||
\(63\) | −1.38193 | −0.174107 | ||||||||
\(64\) | 7.99994 | + | 0.0319223i | 0.999992 | + | 0.00399028i | ||||
\(65\) | −3.49694 | −0.433742 | ||||||||
\(66\) | 1.55144 | − | 2.68304i | 0.190969 | − | 0.330260i | ||||
\(67\) | −8.18434 | + | 0.128944i | −0.999876 | + | 0.0157530i | ||||
\(68\) | −0.638302 | − | 1.10897i | −0.0774055 | − | 0.134483i | ||||
\(69\) | − | 5.50995i | − | 0.663320i | ||||||
\(70\) | 5.32201 | + | 3.07738i | 0.636102 | + | 0.367818i | ||||
\(71\) | 5.27216i | 0.625690i | 0.949804 | + | 0.312845i | \(0.101282\pi\) | ||||
−0.949804 | + | 0.312845i | \(0.898718\pi\) | |||||||
\(72\) | −2.82842 | − | 0.00564312i | −0.333333 | − | 0.000665048i | ||||
\(73\) | 2.16400 | 0.253277 | 0.126639 | − | 0.991949i | \(-0.459581\pi\) | ||||
0.126639 | + | 0.991949i | \(0.459581\pi\) | |||||||
\(74\) | −7.62168 | + | 13.1809i | −0.886002 | + | 1.53225i | ||||
\(75\) | 4.89510 | 0.565238 | ||||||||
\(76\) | −3.72252 | + | 2.14260i | −0.427002 | + | 0.245773i | ||||
\(77\) | 3.02855 | 0.345136 | ||||||||
\(78\) | 1.36100 | + | 0.786978i | 0.154102 | + | 0.0891078i | ||||
\(79\) | −1.72829 | −0.194447 | −0.0972237 | − | 0.995263i | \(-0.530996\pi\) | ||||
−0.0972237 | + | 0.995263i | \(0.530996\pi\) | |||||||
\(80\) | 10.8801 | + | 6.32026i | 1.21643 | + | 0.706627i | ||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | −3.10700 | − | 1.79658i | −0.343111 | − | 0.198399i | ||||
\(83\) | 6.31463i | 0.693121i | 0.938028 | + | 0.346561i | \(0.112650\pi\) | ||||
−0.938028 | + | 0.346561i | \(0.887350\pi\) | |||||||
\(84\) | −1.37875 | − | 2.39541i | −0.150434 | − | 0.261361i | ||||
\(85\) | − | 2.01251i | − | 0.218287i | ||||||
\(86\) | 3.90622 | − | 6.75539i | 0.421218 | − | 0.728452i | ||||
\(87\) | −6.70206 | −0.718536 | ||||||||
\(88\) | 6.19859 | + | 0.0123671i | 0.660772 | + | 0.00131834i | ||||
\(89\) | −13.2000 | −1.39919 | −0.699597 | − | 0.714537i | \(-0.746637\pi\) | ||||
−0.699597 | + | 0.714537i | \(0.746637\pi\) | |||||||
\(90\) | −3.85114 | − | 2.22687i | −0.405945 | − | 0.234733i | ||||
\(91\) | 1.53626i | 0.161044i | ||||||||
\(92\) | 9.55084 | − | 5.49725i | 0.995744 | − | 0.573128i | ||||
\(93\) | 4.75833 | 0.493415 | ||||||||
\(94\) | −3.53106 | − | 2.04179i | −0.364201 | − | 0.210595i | ||||
\(95\) | −6.75544 | −0.693093 | ||||||||
\(96\) | −2.81212 | − | 4.90836i | −0.287011 | − | 0.500957i | ||||
\(97\) | 5.12276i | 0.520138i | 0.965590 | + | 0.260069i | \(0.0837453\pi\) | ||||
−0.965590 | + | 0.260069i | \(0.916255\pi\) | |||||||
\(98\) | −3.60351 | + | 6.23188i | −0.364009 | + | 0.629515i | ||||
\(99\) | −2.19154 | −0.220258 | ||||||||
\(100\) | 4.88382 | + | 8.48507i | 0.488382 | + | 0.848507i | ||||
\(101\) | − | 6.31707i | − | 0.628572i | −0.949328 | − | 0.314286i | \(-0.898235\pi\) | ||
0.949328 | − | 0.314286i | \(-0.101765\pi\) | |||||||
\(102\) | −0.452911 | + | 0.783262i | −0.0448449 | + | 0.0775545i | ||||
\(103\) | − | 18.2109i | − | 1.79437i | −0.441652 | − | 0.897186i | \(-0.645607\pi\) | ||
0.441652 | − | 0.897186i | \(-0.354393\pi\) | |||||||
\(104\) | −0.00627332 | + | 3.14429i | −0.000615150 | + | 0.308323i | ||||
\(105\) | − | 4.34707i | − | 0.424231i | ||||||
\(106\) | −0.00831012 | − | 0.00480522i | −0.000807150 | − | 0.000466724i | ||||
\(107\) | − | 16.8450i | − | 1.62846i | −0.580540 | − | 0.814232i | \(-0.697158\pi\) | ||
0.580540 | − | 0.814232i | \(-0.302842\pi\) | |||||||
\(108\) | 0.997695 | + | 1.73338i | 0.0960033 | + | 0.166795i | ||||
\(109\) | − | 12.4899i | − | 1.19632i | −0.801378 | − | 0.598158i | \(-0.795900\pi\) | ||
0.801378 | − | 0.598158i | \(-0.204100\pi\) | |||||||
\(110\) | 8.43991 | + | 4.88027i | 0.804714 | + | 0.465316i | ||||
\(111\) | 10.7663 | 1.02189 | ||||||||
\(112\) | 2.77659 | − | 4.77978i | 0.262363 | − | 0.451647i | ||||
\(113\) | 6.63902i | 0.624547i | 0.949992 | + | 0.312273i | \(0.101090\pi\) | ||||
−0.949992 | + | 0.312273i | \(0.898910\pi\) | |||||||
\(114\) | 2.62919 | + | 1.52030i | 0.246246 | + | 0.142389i | ||||
\(115\) | 17.3324 | 1.61625 | ||||||||
\(116\) | −6.68661 | − | 11.6172i | −0.620836 | − | 1.07863i | ||||
\(117\) | − | 1.11168i | − | 0.102774i | ||||||
\(118\) | 0.146282 | + | 0.0845857i | 0.0134664 | + | 0.00778675i | ||||
\(119\) | −0.884127 | −0.0810478 | ||||||||
\(120\) | 0.0177513 | − | 8.89722i | 0.00162046 | − | 0.812201i | ||||
\(121\) | −6.19716 | −0.563379 | ||||||||
\(122\) | −12.7157 | − | 7.35271i | −1.15123 | − | 0.665683i | ||||
\(123\) | 2.53783i | 0.228828i | ||||||||
\(124\) | 4.74736 | + | 8.24798i | 0.426325 | + | 0.740691i | ||||
\(125\) | − | 0.329971i | − | 0.0295135i | ||||||
\(126\) | −0.978299 | + | 1.69186i | −0.0871538 | + | 0.150723i | ||||
\(127\) | − | 10.8899i | − | 0.966319i | −0.875532 | − | 0.483159i | \(-0.839489\pi\) | ||
0.875532 | − | 0.483159i | \(-0.160511\pi\) | |||||||
\(128\) | 5.70241 | − | 9.77152i | 0.504026 | − | 0.863688i | ||||
\(129\) | −5.51787 | −0.485821 | ||||||||
\(130\) | −2.47556 | + | 4.28121i | −0.217121 | + | 0.375487i | ||||
\(131\) | − | 6.00800i | − | 0.524922i | −0.964943 | − | 0.262461i | \(-0.915466\pi\) | ||
0.964943 | − | 0.262461i | \(-0.0845340\pi\) | |||||||
\(132\) | −2.18649 | − | 3.79877i | −0.190309 | − | 0.330640i | ||||
\(133\) | 2.96777i | 0.257338i | ||||||||
\(134\) | −5.63600 | + | 10.1112i | −0.486876 | + | 0.873471i | ||||
\(135\) | 3.14565i | 0.270734i | ||||||||
\(136\) | −1.80956 | − | 0.00361034i | −0.155168 | − | 0.000309584i | ||||
\(137\) | 11.6091i | 0.991834i | 0.868370 | + | 0.495917i | \(0.165168\pi\) | ||||
−0.868370 | + | 0.495917i | \(0.834832\pi\) | |||||||
\(138\) | −6.74569 | − | 3.90061i | −0.574232 | − | 0.332042i | ||||
\(139\) | −10.4089 | −0.882871 | −0.441436 | − | 0.897293i | \(-0.645531\pi\) | ||||
−0.441436 | + | 0.897293i | \(0.645531\pi\) | |||||||
\(140\) | 7.53512 | − | 4.33705i | 0.636834 | − | 0.366548i | ||||
\(141\) | 2.88421i | 0.242894i | ||||||||
\(142\) | 6.45457 | + | 3.73227i | 0.541656 | + | 0.313205i | ||||
\(143\) | 2.43628i | 0.203732i | ||||||||
\(144\) | −2.00921 | + | 3.45877i | −0.167434 | + | 0.288231i | ||||
\(145\) | − | 21.0823i | − | 1.75079i | ||||||
\(146\) | 1.53194 | − | 2.64933i | 0.126784 | − | 0.219260i | ||||
\(147\) | 5.09026 | 0.419838 | ||||||||
\(148\) | 10.7415 | + | 18.6620i | 0.882943 | + | 1.53401i | ||||
\(149\) | 18.0368 | 1.47763 | 0.738815 | − | 0.673908i | \(-0.235386\pi\) | ||||
0.738815 | + | 0.673908i | \(0.235386\pi\) | |||||||
\(150\) | 3.46535 | − | 5.99295i | 0.282944 | − | 0.489322i | ||||
\(151\) | − | 22.5460i | − | 1.83476i | −0.398008 | − | 0.917382i | \(-0.630298\pi\) | ||
0.398008 | − | 0.917382i | \(-0.369702\pi\) | |||||||
\(152\) | −0.0121189 | + | 6.07418i | −0.000982972 | + | 0.492681i | ||||
\(153\) | 0.639776 | 0.0517228 | ||||||||
\(154\) | 2.14398 | − | 3.70778i | 0.172767 | − | 0.298782i | ||||
\(155\) | 14.9680i | 1.20226i | ||||||||
\(156\) | 1.92696 | − | 1.10911i | 0.154280 | − | 0.0888001i | ||||
\(157\) | 15.4129 | 1.23008 | 0.615040 | − | 0.788496i | \(-0.289140\pi\) | ||||
0.615040 | + | 0.788496i | \(0.289140\pi\) | |||||||
\(158\) | −1.22349 | + | 2.11590i | −0.0973357 | + | 0.168332i | ||||
\(159\) | 0.00678779i | 0.000538307i | ||||||||
\(160\) | 15.4400 | − | 8.84594i | 1.22064 | − | 0.699333i | ||||
\(161\) | − | 7.61438i | − | 0.600097i | ||||||
\(162\) | 0.707921 | − | 1.22427i | 0.0556195 | − | 0.0961881i | ||||
\(163\) | − | 4.46026i | − | 0.349354i | −0.984626 | − | 0.174677i | \(-0.944112\pi\) | ||
0.984626 | − | 0.174677i | \(-0.0558882\pi\) | |||||||
\(164\) | −4.39902 | + | 2.53198i | −0.343506 | + | 0.197714i | ||||
\(165\) | − | 6.89381i | − | 0.536682i | ||||||
\(166\) | 7.73084 | + | 4.47026i | 0.600030 | + | 0.346960i | ||||
\(167\) | − | 3.92760i | − | 0.303927i | −0.988386 | − | 0.151964i | \(-0.951440\pi\) | ||
0.988386 | − | 0.151964i | \(-0.0485596\pi\) | |||||||
\(168\) | −3.90869 | − | 0.00779841i | −0.301562 | − | 0.000601660i | ||||
\(169\) | 11.7642 | 0.904937 | ||||||||
\(170\) | −2.46387 | − | 1.42470i | −0.188970 | − | 0.109269i | ||||
\(171\) | − | 2.14755i | − | 0.164227i | ||||||
\(172\) | −5.50515 | − | 9.56456i | −0.419764 | − | 0.729291i | ||||
\(173\) | 14.8244 | 1.12708 | 0.563540 | − | 0.826089i | \(-0.309439\pi\) | ||||
0.563540 | + | 0.826089i | \(0.309439\pi\) | |||||||
\(174\) | −4.74453 | + | 8.20516i | −0.359682 | + | 0.622032i | ||||
\(175\) | 6.76470 | 0.511363 | ||||||||
\(176\) | 4.40325 | − | 7.58002i | 0.331908 | − | 0.571366i | ||||
\(177\) | − | 0.119485i | − | 0.00898102i | ||||||
\(178\) | −9.34454 | + | 16.1604i | −0.700403 | + | 1.21127i | ||||
\(179\) | −7.74057 | −0.578558 | −0.289279 | − | 0.957245i | \(-0.593415\pi\) | ||||
−0.289279 | + | 0.957245i | \(0.593415\pi\) | |||||||
\(180\) | −5.45260 | + | 3.13840i | −0.406413 | + | 0.233922i | ||||
\(181\) | 6.47986 | 0.481645 | 0.240822 | − | 0.970569i | \(-0.422583\pi\) | ||||
0.240822 | + | 0.970569i | \(0.422583\pi\) | |||||||
\(182\) | 1.88080 | + | 1.08755i | 0.139414 | + | 0.0806146i | ||||
\(183\) | 10.3863i | 0.767780i | ||||||||
\(184\) | 0.0310933 | − | 15.5845i | 0.00229223 | − | 1.14890i | ||||
\(185\) | 33.8669i | 2.48995i | ||||||||
\(186\) | 3.36852 | − | 5.82550i | 0.246992 | − | 0.427146i | ||||
\(187\) | −1.40209 | −0.102531 | ||||||||
\(188\) | −4.99943 | + | 2.87756i | −0.364621 | + | 0.209868i | ||||
\(189\) | 1.38193 | 0.100521 | ||||||||
\(190\) | −4.78232 | + | 8.27051i | −0.346946 | + | 0.600006i | ||||
\(191\) | −4.35527 | −0.315136 | −0.157568 | − | 0.987508i | \(-0.550365\pi\) | ||||
−0.157568 | + | 0.987508i | \(0.550365\pi\) | |||||||
\(192\) | −7.99994 | − | 0.0319223i | −0.577346 | − | 0.00230379i | ||||
\(193\) | −9.69919 | −0.698163 | −0.349082 | − | 0.937092i | \(-0.613506\pi\) | ||||
−0.349082 | + | 0.937092i | \(0.613506\pi\) | |||||||
\(194\) | 6.27167 | + | 3.62651i | 0.450279 | + | 0.260368i | ||||
\(195\) | 3.49694 | 0.250421 | ||||||||
\(196\) | 5.07853 | + | 8.82336i | 0.362752 | + | 0.630240i | ||||
\(197\) | 9.45364i | 0.673544i | 0.941586 | + | 0.336772i | \(0.109335\pi\) | ||||
−0.941586 | + | 0.336772i | \(0.890665\pi\) | |||||||
\(198\) | −1.55144 | + | 2.68304i | −0.110256 | + | 0.190676i | ||||
\(199\) | − | 14.4262i | − | 1.02265i | −0.859389 | − | 0.511323i | \(-0.829156\pi\) | ||
0.859389 | − | 0.511323i | \(-0.170844\pi\) | |||||||
\(200\) | 13.8454 | + | 0.0276237i | 0.979019 | + | 0.00195329i | ||||
\(201\) | 8.18434 | − | 0.128944i | 0.577279 | − | 0.00909499i | ||||
\(202\) | −7.73383 | − | 4.47199i | −0.544150 | − | 0.314648i | ||||
\(203\) | −9.26179 | −0.650050 | ||||||||
\(204\) | 0.638302 | + | 1.10897i | 0.0446901 | + | 0.0776438i | ||||
\(205\) | −7.98312 | −0.557565 | ||||||||
\(206\) | −22.2951 | − | 12.8919i | −1.55338 | − | 0.898220i | ||||
\(207\) | 5.50995i | 0.382968i | ||||||||
\(208\) | 3.84503 | + | 2.23359i | 0.266605 | + | 0.154871i | ||||
\(209\) | 4.70644i | 0.325551i | ||||||||
\(210\) | −5.32201 | − | 3.07738i | −0.367253 | − | 0.212360i | ||||
\(211\) | 0.971455i | 0.0668777i | 0.999441 | + | 0.0334388i | \(0.0106459\pi\) | ||||
−0.999441 | + | 0.0334388i | \(0.989354\pi\) | |||||||
\(212\) | −0.0117658 | + | 0.00677215i | −0.000808080 | + | 0.000465113i | ||||
\(213\) | − | 5.27216i | − | 0.361243i | ||||||
\(214\) | −20.6229 | − | 11.9249i | −1.40975 | − | 0.815170i | ||||
\(215\) | − | 17.3573i | − | 1.18376i | ||||||
\(216\) | 2.82842 | + | 0.00564312i | 0.192450 | + | 0.000383966i | ||||
\(217\) | 6.57568 | 0.446386 | ||||||||
\(218\) | −15.2911 | − | 8.84187i | −1.03564 | − | 0.598847i | ||||
\(219\) | −2.16400 | −0.146230 | ||||||||
\(220\) | 11.9496 | − | 6.87792i | 0.805640 | − | 0.463709i | ||||
\(221\) | − | 0.711223i | − | 0.0478421i | ||||||
\(222\) | 7.62168 | − | 13.1809i | 0.511533 | − | 0.884643i | ||||
\(223\) | 1.40727i | 0.0942379i | 0.998889 | + | 0.0471189i | \(0.0150040\pi\) | ||||
−0.998889 | + | 0.0471189i | \(0.984996\pi\) | |||||||
\(224\) | −3.88616 | − | 6.78302i | −0.259655 | − | 0.453209i | ||||
\(225\) | −4.89510 | −0.326340 | ||||||||
\(226\) | 8.12798 | + | 4.69990i | 0.540665 | + | 0.312633i | ||||
\(227\) | 1.05501i | 0.0700238i | 0.999387 | + | 0.0350119i | \(0.0111469\pi\) | ||||
−0.999387 | + | 0.0350119i | \(0.988853\pi\) | |||||||
\(228\) | 3.72252 | − | 2.14260i | 0.246530 | − | 0.141897i | ||||
\(229\) | 19.5924i | 1.29470i | 0.762193 | + | 0.647350i | \(0.224123\pi\) | ||||
−0.762193 | + | 0.647350i | \(0.775877\pi\) | |||||||
\(230\) | 12.2700 | − | 21.2196i | 0.809057 | − | 1.39918i | ||||
\(231\) | −3.02855 | −0.199264 | ||||||||
\(232\) | −18.9562 | − | 0.0378205i | −1.24454 | − | 0.00248304i | ||||
\(233\) | − | 7.76027i | − | 0.508392i | −0.967153 | − | 0.254196i | \(-0.918189\pi\) | ||
0.967153 | − | 0.254196i | \(-0.0818109\pi\) | |||||||
\(234\) | −1.36100 | − | 0.786978i | −0.0889711 | − | 0.0514464i | ||||
\(235\) | −9.07271 | −0.591838 | ||||||||
\(236\) | 0.207112 | − | 0.119209i | 0.0134819 | − | 0.00775986i | ||||
\(237\) | 1.72829 | 0.112264 | ||||||||
\(238\) | −0.625892 | + | 1.08241i | −0.0405706 | + | 0.0701625i | ||||
\(239\) | −12.9701 | −0.838968 | −0.419484 | − | 0.907763i | \(-0.637789\pi\) | ||||
−0.419484 | + | 0.907763i | \(0.637789\pi\) | |||||||
\(240\) | −10.8801 | − | 6.32026i | −0.702306 | − | 0.407971i | ||||
\(241\) | −11.1159 | −0.716040 | −0.358020 | − | 0.933714i | \(-0.616548\pi\) | ||||
−0.358020 | + | 0.933714i | \(0.616548\pi\) | |||||||
\(242\) | −4.38710 | + | 7.58703i | −0.282014 | + | 0.487713i | ||||
\(243\) | −1.00000 | −0.0641500 | ||||||||
\(244\) | −18.0035 | + | 10.3624i | −1.15255 | + | 0.663385i | ||||
\(245\) | 16.0122i | 1.02298i | ||||||||
\(246\) | 3.10700 | + | 1.79658i | 0.198095 | + | 0.114546i | ||||
\(247\) | −2.38738 | −0.151905 | ||||||||
\(248\) | 13.4585 | + | 0.0268518i | 0.854619 | + | 0.00170509i | ||||
\(249\) | − | 6.31463i | − | 0.400174i | ||||||
\(250\) | −0.403975 | − | 0.233593i | −0.0255496 | − | 0.0147737i | ||||
\(251\) | −16.3410 | −1.03143 | −0.515716 | − | 0.856760i | \(-0.672474\pi\) | ||||
−0.515716 | + | 0.856760i | \(0.672474\pi\) | |||||||
\(252\) | 1.37875 | + | 2.39541i | 0.0868529 | + | 0.150897i | ||||
\(253\) | − | 12.0753i | − | 0.759166i | ||||||
\(254\) | −13.3322 | − | 7.70916i | −0.836535 | − | 0.483716i | ||||
\(255\) | 2.01251i | 0.126028i | ||||||||
\(256\) | −7.92617 | − | 13.8988i | −0.495385 | − | 0.868673i | ||||
\(257\) | 20.2146 | 1.26095 | 0.630476 | − | 0.776209i | \(-0.282860\pi\) | ||||
0.630476 | + | 0.776209i | \(0.282860\pi\) | |||||||
\(258\) | −3.90622 | + | 6.75539i | −0.243190 | + | 0.420572i | ||||
\(259\) | 14.8783 | 0.924490 | ||||||||
\(260\) | 3.48888 | + | 6.06152i | 0.216371 | + | 0.375920i | ||||
\(261\) | 6.70206 | 0.414847 | ||||||||
\(262\) | −7.35544 | − | 4.25319i | −0.454421 | − | 0.262763i | ||||
\(263\) | 27.8557i | 1.71765i | 0.512266 | + | 0.858827i | \(0.328806\pi\) | ||||
−0.512266 | + | 0.858827i | \(0.671194\pi\) | |||||||
\(264\) | −6.19859 | − | 0.0123671i | −0.381497 | − | 0.000761143i | ||||
\(265\) | −0.0213520 | −0.00131164 | ||||||||
\(266\) | 3.63336 | + | 2.10095i | 0.222776 | + | 0.128817i | ||||
\(267\) | 13.2000 | 0.807825 | ||||||||
\(268\) | 8.38898 | + | 14.0579i | 0.512439 | + | 0.858724i | ||||
\(269\) | −10.6172 | −0.647340 | −0.323670 | − | 0.946170i | \(-0.604917\pi\) | ||||
−0.323670 | + | 0.946170i | \(0.604917\pi\) | |||||||
\(270\) | 3.85114 | + | 2.22687i | 0.234373 | + | 0.135523i | ||||
\(271\) | 5.63033 | 0.342018 | 0.171009 | − | 0.985269i | \(-0.445297\pi\) | ||||
0.171009 | + | 0.985269i | \(0.445297\pi\) | |||||||
\(272\) | −1.28544 | + | 2.21284i | −0.0779415 | + | 0.134173i | ||||
\(273\) | − | 1.53626i | − | 0.0929786i | ||||||
\(274\) | 14.2127 | + | 8.21834i | 0.858623 | + | 0.496488i | ||||
\(275\) | 10.7278 | 0.646911 | ||||||||
\(276\) | −9.55084 | + | 5.49725i | −0.574893 | + | 0.330896i | ||||
\(277\) | −14.7953 | −0.888962 | −0.444481 | − | 0.895788i | \(-0.646612\pi\) | ||||
−0.444481 | + | 0.895788i | \(0.646612\pi\) | |||||||
\(278\) | −7.36868 | + | 12.7433i | −0.441944 | + | 0.764295i | ||||
\(279\) | −4.75833 | −0.284873 | ||||||||
\(280\) | 0.0245311 | − | 12.2953i | 0.00146601 | − | 0.734788i | ||||
\(281\) | − | 12.3188i | − | 0.734881i | −0.930047 | − | 0.367440i | \(-0.880234\pi\) | ||
0.930047 | − | 0.367440i | \(-0.119766\pi\) | |||||||
\(282\) | 3.53106 | + | 2.04179i | 0.210272 | + | 0.121587i | ||||
\(283\) | 7.50228i | 0.445964i | 0.974823 | + | 0.222982i | \(0.0715792\pi\) | ||||
−0.974823 | + | 0.222982i | \(0.928421\pi\) | |||||||
\(284\) | 9.13866 | − | 5.26001i | 0.542279 | − | 0.312124i | ||||
\(285\) | 6.75544 | 0.400158 | ||||||||
\(286\) | 2.98267 | + | 1.72469i | 0.176369 | + | 0.101983i | ||||
\(287\) | 3.50711i | 0.207018i | ||||||||
\(288\) | 2.81212 | + | 4.90836i | 0.165706 | + | 0.289228i | ||||
\(289\) | −16.5907 | −0.975923 | ||||||||
\(290\) | −25.8105 | − | 14.9246i | −1.51565 | − | 0.876404i | ||||
\(291\) | − | 5.12276i | − | 0.300302i | ||||||
\(292\) | −2.15901 | − | 3.75104i | −0.126347 | − | 0.219513i | ||||
\(293\) | −6.01579 | −0.351446 | −0.175723 | − | 0.984440i | \(-0.556226\pi\) | ||||
−0.175723 | + | 0.984440i | \(0.556226\pi\) | |||||||
\(294\) | 3.60351 | − | 6.23188i | 0.210161 | − | 0.363451i | ||||
\(295\) | 0.375857 | 0.0218832 | ||||||||
\(296\) | 30.4516 | + | 0.0607554i | 1.76996 | + | 0.00353134i | ||||
\(297\) | 2.19154 | 0.127166 | ||||||||
\(298\) | 12.7686 | − | 22.0820i | 0.739666 | − | 1.27917i | ||||
\(299\) | 6.12528 | 0.354234 | ||||||||
\(300\) | −4.88382 | − | 8.48507i | −0.281968 | − | 0.489886i | ||||
\(301\) | −7.62532 | −0.439516 | ||||||||
\(302\) | −27.6024 | − | 15.9608i | −1.58834 | − | 0.918438i | ||||
\(303\) | 6.31707i | 0.362906i | ||||||||
\(304\) | 7.42788 | + | 4.31487i | 0.426018 | + | 0.247475i | ||||
\(305\) | −32.6718 | −1.87078 | ||||||||
\(306\) | 0.452911 | − | 0.783262i | 0.0258912 | − | 0.0447761i | ||||
\(307\) | − | 12.3473i | − | 0.704698i | −0.935869 | − | 0.352349i | \(-0.885383\pi\) | ||
0.935869 | − | 0.352349i | \(-0.114617\pi\) | |||||||
\(308\) | −3.02158 | − | 5.24963i | −0.172170 | − | 0.299126i | ||||
\(309\) | 18.2109i | 1.03598i | ||||||||
\(310\) | 18.3250 | + | 10.5962i | 1.04079 | + | 0.601822i | ||||
\(311\) | 18.7816 | 1.06501 | 0.532503 | − | 0.846428i | \(-0.321252\pi\) | ||||
0.532503 | + | 0.846428i | \(0.321252\pi\) | |||||||
\(312\) | 0.00627332 | − | 3.14429i | 0.000355157 | − | 0.178010i | ||||
\(313\) | 34.2048i | 1.93337i | 0.255965 | + | 0.966686i | \(0.417607\pi\) | ||||
−0.255965 | + | 0.966686i | \(0.582393\pi\) | |||||||
\(314\) | 10.9111 | − | 18.8696i | 0.615749 | − | 1.06487i | ||||
\(315\) | 4.34707i | 0.244930i | ||||||||
\(316\) | 1.72430 | + | 2.99578i | 0.0969997 | + | 0.168526i | ||||
\(317\) | −17.1962 | −0.965837 | −0.482919 | − | 0.875665i | \(-0.660423\pi\) | ||||
−0.482919 | + | 0.875665i | \(0.660423\pi\) | |||||||
\(318\) | 0.00831012 | + | 0.00480522i | 0.000466008 | + | 0.000269463i | ||||
\(319\) | −14.6878 | −0.822360 | ||||||||
\(320\) | 0.100416 | − | 25.1650i | 0.00561344 | − | 1.40677i | ||||
\(321\) | 16.8450i | 0.940194i | ||||||||
\(322\) | −9.32209 | − | 5.39038i | −0.519500 | − | 0.300394i | ||||
\(323\) | − | 1.37395i | − | 0.0764487i | ||||||
\(324\) | −0.997695 | − | 1.73338i | −0.0554275 | − | 0.0962989i | ||||
\(325\) | 5.44176i | 0.301855i | ||||||||
\(326\) | −5.46058 | − | 3.15751i | −0.302434 | − | 0.174878i | ||||
\(327\) | 12.4899i | 0.690693i | ||||||||
\(328\) | −0.0143213 | + | 7.17805i | −0.000790761 | + | 0.396342i | ||||
\(329\) | 3.98578i | 0.219743i | ||||||||
\(330\) | −8.43991 | − | 4.88027i | −0.464602 | − | 0.268650i | ||||
\(331\) | 30.2833 | 1.66452 | 0.832260 | − | 0.554385i | \(-0.187047\pi\) | ||||
0.832260 | + | 0.554385i | \(0.187047\pi\) | |||||||
\(332\) | 10.9457 | − | 6.30008i | 0.600721 | − | 0.345762i | ||||
\(333\) | −10.7663 | −0.589988 | ||||||||
\(334\) | −4.80846 | − | 2.78043i | −0.263107 | − | 0.152139i | ||||
\(335\) | 0.405612 | + | 25.7450i | 0.0221609 | + | 1.40660i | ||||
\(336\) | −2.77659 | + | 4.77978i | −0.151475 | + | 0.260759i | ||||
\(337\) | 27.7390i | 1.51104i | 0.655127 | + | 0.755519i | \(0.272615\pi\) | ||||
−0.655127 | + | 0.755519i | \(0.727385\pi\) | |||||||
\(338\) | 8.32811 | − | 14.4026i | 0.452989 | − | 0.783397i | ||||
\(339\) | − | 6.63902i | − | 0.360582i | ||||||
\(340\) | −3.48844 | + | 2.00787i | −0.189187 | + | 0.108892i | ||||
\(341\) | 10.4280 | 0.564710 | ||||||||
\(342\) | −2.62919 | − | 1.52030i | −0.142170 | − | 0.0822082i | ||||
\(343\) | 16.7079 | 0.902143 | ||||||||
\(344\) | −15.6069 | − | 0.0311380i | −0.841466 | − | 0.00167885i | ||||
\(345\) | −17.3324 | −0.933144 | ||||||||
\(346\) | 10.4945 | − | 18.1492i | 0.564189 | − | 0.975705i | ||||
\(347\) | 13.7586 | 0.738598 | 0.369299 | − | 0.929311i | \(-0.379598\pi\) | ||||
0.369299 | + | 0.929311i | \(0.379598\pi\) | |||||||
\(348\) | 6.68661 | + | 11.6172i | 0.358440 | + | 0.622748i | ||||
\(349\) | 27.9839 | 1.49795 | 0.748973 | − | 0.662600i | \(-0.230547\pi\) | ||||
0.748973 | + | 0.662600i | \(0.230547\pi\) | |||||||
\(350\) | 4.78887 | − | 8.28185i | 0.255976 | − | 0.442683i | ||||
\(351\) | 1.11168i | 0.0593368i | ||||||||
\(352\) | −6.16287 | − | 10.7568i | −0.328482 | − | 0.573342i | ||||
\(353\) | − | 12.7760i | − | 0.680000i | −0.940425 | − | 0.340000i | \(-0.889573\pi\) | ||
0.940425 | − | 0.340000i | \(-0.110427\pi\) | |||||||
\(354\) | −0.146282 | − | 0.0845857i | −0.00777480 | − | 0.00449568i | ||||
\(355\) | 16.5844 | 0.880207 | ||||||||
\(356\) | 13.1696 | + | 22.8806i | 0.697985 | + | 1.21267i | ||||
\(357\) | 0.884127 | 0.0467930 | ||||||||
\(358\) | −5.47972 | + | 9.47659i | −0.289612 | + | 0.500853i | ||||
\(359\) | 15.8329i | 0.835626i | 0.908533 | + | 0.417813i | \(0.137203\pi\) | ||||
−0.908533 | + | 0.417813i | \(0.862797\pi\) | |||||||
\(360\) | −0.0177513 | + | 8.89722i | −0.000935575 | + | 0.468925i | ||||
\(361\) | 14.3880 | 0.757265 | ||||||||
\(362\) | 4.58723 | − | 7.93313i | 0.241100 | − | 0.416956i | ||||
\(363\) | 6.19716 | 0.325267 | ||||||||
\(364\) | 2.66292 | − | 1.53272i | 0.139575 | − | 0.0803363i | ||||
\(365\) | − | 6.80719i | − | 0.356305i | ||||||
\(366\) | 12.7157 | + | 7.35271i | 0.664662 | + | 0.384332i | ||||
\(367\) | −10.9260 | −0.570331 | −0.285166 | − | 0.958478i | \(-0.592049\pi\) | ||||
−0.285166 | + | 0.958478i | \(0.592049\pi\) | |||||||
\(368\) | −19.0577 | − | 11.0706i | −0.993449 | − | 0.577097i | ||||
\(369\) | − | 2.53783i | − | 0.132114i | ||||||
\(370\) | 41.4624 | + | 23.9751i | 2.15553 | + | 1.24641i | ||||
\(371\) | 0.00938027i | 0.000486999i | ||||||||
\(372\) | −4.74736 | − | 8.24798i | −0.246139 | − | 0.427638i | ||||
\(373\) | 14.1215i | 0.731184i | 0.930775 | + | 0.365592i | \(0.119133\pi\) | ||||
−0.930775 | + | 0.365592i | \(0.880867\pi\) | |||||||
\(374\) | −0.992572 | + | 1.71655i | −0.0513247 | + | 0.0887605i | ||||
\(375\) | 0.329971i | 0.0170396i | ||||||||
\(376\) | −0.0162760 | + | 8.15776i | −0.000839368 | + | 0.420704i | ||||
\(377\) | − | 7.45051i | − | 0.383721i | ||||||
\(378\) | 0.978299 | − | 1.69186i | 0.0503183 | − | 0.0870201i | ||||
\(379\) | −14.1951 | −0.729152 | −0.364576 | − | 0.931174i | \(-0.618786\pi\) | ||||
−0.364576 | + | 0.931174i | \(0.618786\pi\) | |||||||
\(380\) | 6.73987 | + | 11.7097i | 0.345748 | + | 0.600697i | ||||
\(381\) | 10.8899i | 0.557904i | ||||||||
\(382\) | −3.08319 | + | 5.33205i | −0.157750 | + | 0.272811i | ||||
\(383\) | 13.5159 | 0.690628 | 0.345314 | − | 0.938487i | \(-0.387772\pi\) | ||||
0.345314 | + | 0.938487i | \(0.387772\pi\) | |||||||
\(384\) | −5.70241 | + | 9.77152i | −0.291000 | + | 0.498651i | ||||
\(385\) | − | 9.52677i | − | 0.485529i | ||||||
\(386\) | −6.86626 | + | 11.8745i | −0.349484 | + | 0.604395i | ||||
\(387\) | 5.51787 | 0.280489 | ||||||||
\(388\) | 8.87969 | − | 5.11096i | 0.450798 | − | 0.259469i | ||||
\(389\) | 13.3769 | 0.678235 | 0.339118 | − | 0.940744i | \(-0.389872\pi\) | ||||
0.339118 | + | 0.940744i | \(0.389872\pi\) | |||||||
\(390\) | 2.47556 | − | 4.28121i | 0.125355 | − | 0.216788i | ||||
\(391\) | 3.52514i | 0.178274i | ||||||||
\(392\) | 14.3974 | + | 0.0287250i | 0.727179 | + | 0.00145083i | ||||
\(393\) | 6.00800i | 0.303064i | ||||||||
\(394\) | 11.5739 | + | 6.69243i | 0.583082 | + | 0.337160i | ||||
\(395\) | 5.43658i | 0.273544i | ||||||||
\(396\) | 2.18649 | + | 3.79877i | 0.109875 | + | 0.190895i | ||||
\(397\) | −12.0757 | −0.606064 | −0.303032 | − | 0.952980i | \(-0.597999\pi\) | ||||
−0.303032 | + | 0.952980i | \(0.597999\pi\) | |||||||
\(398\) | −17.6616 | − | 10.2126i | −0.885297 | − | 0.511912i | ||||
\(399\) | − | 2.96777i | − | 0.148574i | ||||||
\(400\) | 9.83528 | − | 16.9310i | 0.491764 | − | 0.846551i | ||||
\(401\) | − | 28.7633i | − | 1.43637i | −0.695853 | − | 0.718184i | \(-0.744973\pi\) | ||
0.695853 | − | 0.718184i | \(-0.255027\pi\) | |||||||
\(402\) | 5.63600 | − | 10.1112i | 0.281098 | − | 0.504299i | ||||
\(403\) | 5.28971i | 0.263499i | ||||||||
\(404\) | −10.9499 | + | 6.30251i | −0.544777 | + | 0.313562i | ||||
\(405\) | − | 3.14565i | − | 0.156309i | ||||||
\(406\) | −6.55662 | + | 11.3390i | −0.325399 | + | 0.562744i | ||||
\(407\) | 23.5947 | 1.16955 | ||||||||
\(408\) | 1.80956 | + | 0.00361034i | 0.0895864 | + | 0.000178738i | ||||
\(409\) | 17.2602i | 0.853460i | 0.904379 | + | 0.426730i | \(0.140335\pi\) | ||||
−0.904379 | + | 0.426730i | \(0.859665\pi\) | |||||||
\(410\) | −5.65142 | + | 9.77353i | −0.279104 | + | 0.482680i | ||||
\(411\) | − | 11.6091i | − | 0.572636i | ||||||
\(412\) | −31.5664 | + | 18.1689i | −1.55516 | + | 0.895119i | ||||
\(413\) | − | 0.165120i | − | 0.00812501i | ||||||
\(414\) | 6.74569 | + | 3.90061i | 0.331533 | + | 0.191705i | ||||
\(415\) | 19.8636 | 0.975067 | ||||||||
\(416\) | 5.45650 | − | 3.12617i | 0.267527 | − | 0.153273i | ||||
\(417\) | 10.4089 | 0.509726 | ||||||||
\(418\) | 5.76197 | + | 3.33179i | 0.281827 | + | 0.162963i | ||||
\(419\) | 7.97231i | 0.389473i | 0.980856 | + | 0.194737i | \(0.0623852\pi\) | ||||
−0.980856 | + | 0.194737i | \(0.937615\pi\) | |||||||
\(420\) | −7.53512 | + | 4.33705i | −0.367676 | + | 0.211626i | ||||
\(421\) | 21.6191 | 1.05365 | 0.526825 | − | 0.849974i | \(-0.323382\pi\) | ||||
0.526825 | + | 0.849974i | \(0.323382\pi\) | |||||||
\(422\) | 1.18933 | + | 0.687713i | 0.0578955 | + | 0.0334774i | ||||
\(423\) | − | 2.88421i | − | 0.140235i | ||||||
\(424\) | −3.83043e−5 | 0.0191987i | −1.86022e−6 | 0.000932373i | ||||||
\(425\) | −3.13177 | −0.151913 | ||||||||
\(426\) | −6.45457 | − | 3.73227i | −0.312725 | − | 0.180829i | ||||
\(427\) | 14.3532i | 0.694600i | ||||||||
\(428\) | −29.1987 | + | 16.8061i | −1.41137 | + | 0.812355i | ||||
\(429\) | − | 2.43628i | − | 0.117625i | ||||||
\(430\) | −21.2501 | − | 12.2876i | −1.02477 | − | 0.592560i | ||||
\(431\) | − | 0.433829i | − | 0.0208968i | −0.999945 | − | 0.0104484i | \(-0.996674\pi\) | ||
0.999945 | − | 0.0104484i | \(-0.00332589\pi\) | |||||||
\(432\) | 2.00921 | − | 3.45877i | 0.0966681 | − | 0.166410i | ||||
\(433\) | − | 28.9747i | − | 1.39244i | −0.717831 | − | 0.696218i | \(-0.754865\pi\) | ||
0.717831 | − | 0.696218i | \(-0.245135\pi\) | |||||||
\(434\) | 4.65506 | − | 8.05044i | 0.223450 | − | 0.386433i | ||||
\(435\) | 21.0823i | 1.01082i | ||||||||
\(436\) | −21.6497 | + | 12.4611i | −1.03683 | + | 0.596779i | ||||
\(437\) | 11.8329 | 0.566044 | ||||||||
\(438\) | −1.53194 | + | 2.64933i | −0.0731991 | + | 0.126590i | ||||
\(439\) | − | 14.7047i | − | 0.701817i | −0.936410 | − | 0.350909i | \(-0.885873\pi\) | ||
0.936410 | − | 0.350909i | \(-0.114127\pi\) | |||||||
\(440\) | 0.0389026 | − | 19.4986i | 0.00185461 | − | 0.929559i | ||||
\(441\) | −5.09026 | −0.242394 | ||||||||
\(442\) | −0.870733 | − | 0.503490i | −0.0414165 | − | 0.0239486i | ||||
\(443\) | 31.2739 | 1.48587 | 0.742935 | − | 0.669364i | \(-0.233433\pi\) | ||||
0.742935 | + | 0.669364i | \(0.233433\pi\) | |||||||
\(444\) | −10.7415 | − | 18.6620i | −0.509767 | − | 0.885661i | ||||
\(445\) | 41.5225i | 1.96835i | ||||||||
\(446\) | 1.72289 | + | 0.996237i | 0.0815810 | + | 0.0471732i | ||||
\(447\) | −18.0368 | −0.853110 | ||||||||
\(448\) | −11.0554 | − | 0.0441144i | −0.522317 | − | 0.00208421i | ||||
\(449\) | −19.0234 | −0.897770 | −0.448885 | − | 0.893590i | \(-0.648179\pi\) | ||||
−0.448885 | + | 0.893590i | \(0.648179\pi\) | |||||||
\(450\) | −3.46535 | + | 5.99295i | −0.163358 | + | 0.282510i | ||||
\(451\) | 5.56175i | 0.261893i | ||||||||
\(452\) | 11.5079 | − | 6.62372i | 0.541288 | − | 0.311554i | ||||
\(453\) | 22.5460i | 1.05930i | ||||||||
\(454\) | 1.29163 | + | 0.746867i | 0.0606191 | + | 0.0350522i | ||||
\(455\) | 4.83253 | 0.226553 | ||||||||
\(456\) | 0.0121189 | − | 6.07418i | 0.000567519 | − | 0.284449i | ||||
\(457\) | −33.5199 | −1.56800 | −0.783998 | − | 0.620764i | \(-0.786823\pi\) | ||||
−0.783998 | + | 0.620764i | \(0.786823\pi\) | |||||||
\(458\) | 23.9864 | + | 13.8698i | 1.12081 | + | 0.648096i | ||||
\(459\) | −0.639776 | −0.0298622 | ||||||||
\(460\) | −17.2924 | − | 30.0436i | −0.806264 | − | 1.40079i | ||||
\(461\) | 11.4031 | 0.531093 | 0.265547 | − | 0.964098i | \(-0.414448\pi\) | ||||
0.265547 | + | 0.964098i | \(0.414448\pi\) | |||||||
\(462\) | −2.14398 | + | 3.70778i | −0.0997469 | + | 0.172502i | ||||
\(463\) | −38.3973 | −1.78447 | −0.892236 | − | 0.451569i | \(-0.850865\pi\) | ||||
−0.892236 | + | 0.451569i | \(0.850865\pi\) | |||||||
\(464\) | −13.4658 | + | 23.1809i | −0.625136 | + | 1.07615i | ||||
\(465\) | − | 14.9680i | − | 0.694125i | ||||||
\(466\) | −9.50071 | − | 5.49366i | −0.440112 | − | 0.254489i | ||||
\(467\) | − | 12.4776i | − | 0.577394i | −0.957420 | − | 0.288697i | \(-0.906778\pi\) | ||
0.957420 | − | 0.288697i | \(-0.0932220\pi\) | |||||||
\(468\) | −1.92696 | + | 1.10911i | −0.0890735 | + | 0.0512688i | ||||
\(469\) | 11.3102 | − | 0.178192i | 0.522256 | − | 0.00822812i | ||||
\(470\) | −6.42276 | + | 11.1075i | −0.296260 | + | 0.512350i | ||||
\(471\) | −15.4129 | −0.710187 | ||||||||
\(472\) | 0.000674267 | − | 0.337953i | 3.10356e−5 | − | 0.0155555i | ||||
\(473\) | −12.0926 | −0.556019 | ||||||||
\(474\) | 1.22349 | − | 2.11590i | 0.0561968 | − | 0.0971864i | ||||
\(475\) | 10.5125i | 0.482346i | ||||||||
\(476\) | 0.882089 | + | 1.53253i | 0.0404305 | + | 0.0702433i | ||||
\(477\) | − | 0.00678779i | − | 0.000310792i | ||||||
\(478\) | −9.18183 | + | 15.8790i | −0.419967 | + | 0.726288i | ||||
\(479\) | − | 5.48777i | − | 0.250743i | −0.992110 | − | 0.125371i | \(-0.959988\pi\) | ||
0.992110 | − | 0.125371i | \(-0.0400122\pi\) | |||||||
\(480\) | −15.4400 | + | 8.84594i | −0.704735 | + | 0.403760i | ||||
\(481\) | 11.9686i | 0.545721i | ||||||||
\(482\) | −7.86920 | + | 13.6089i | −0.358432 | + | 0.619871i | ||||
\(483\) | 7.61438i | 0.346466i | ||||||||
\(484\) | 6.18288 | + | 10.7420i | 0.281040 | + | 0.488274i | ||||
\(485\) | 16.1144 | 0.731718 | ||||||||
\(486\) | −0.707921 | + | 1.22427i | −0.0321120 | + | 0.0555342i | ||||
\(487\) | 30.2314 | 1.36992 | 0.684958 | − | 0.728583i | \(-0.259821\pi\) | ||||
0.684958 | + | 0.728583i | \(0.259821\pi\) | |||||||
\(488\) | −0.0586114 | + | 29.3769i | −0.00265321 | + | 1.32983i | ||||
\(489\) | 4.46026i | 0.201700i | ||||||||
\(490\) | 19.6033 | + | 11.3354i | 0.885587 | + | 0.512079i | ||||
\(491\) | − | 26.7584i | − | 1.20759i | −0.797140 | − | 0.603795i | \(-0.793655\pi\) | ||
0.797140 | − | 0.603795i | \(-0.206345\pi\) | |||||||
\(492\) | 4.39902 | − | 2.53198i | 0.198323 | − | 0.114151i | ||||
\(493\) | 4.28782 | 0.193114 | ||||||||
\(494\) | −1.69008 | + | 2.92281i | −0.0760401 | + | 0.131503i | ||||
\(495\) | 6.89381i | 0.309853i | ||||||||
\(496\) | 9.56047 | − | 16.4579i | 0.429278 | − | 0.738984i | ||||
\(497\) | − | 7.28577i | − | 0.326811i | ||||||
\(498\) | −7.73084 | − | 4.47026i | −0.346427 | − | 0.200317i | ||||
\(499\) | −28.4951 | −1.27561 | −0.637807 | − | 0.770196i | \(-0.720158\pi\) | ||||
−0.637807 | + | 0.770196i | \(0.720158\pi\) | |||||||
\(500\) | −0.571964 | + | 0.329210i | −0.0255790 | + | 0.0147227i | ||||
\(501\) | 3.92760i | 0.175472i | ||||||||
\(502\) | −11.5681 | + | 20.0058i | −0.516310 | + | 0.892903i | ||||
\(503\) | 38.6829 | 1.72478 | 0.862392 | − | 0.506241i | \(-0.168965\pi\) | ||||
0.862392 | + | 0.506241i | \(0.168965\pi\) | |||||||
\(504\) | 3.90869 | + | 0.00779841i | 0.174107 | + | 0.000347369i | ||||
\(505\) | −19.8713 | −0.884261 | ||||||||
\(506\) | −14.7834 | − | 8.54834i | −0.657204 | − | 0.380020i | ||||
\(507\) | −11.7642 | −0.522465 | ||||||||
\(508\) | −18.8763 | + | 10.8648i | −0.837499 | + | 0.482046i | ||||
\(509\) | 26.3881 | 1.16963 | 0.584816 | − | 0.811166i | \(-0.301167\pi\) | ||||
0.584816 | + | 0.811166i | \(0.301167\pi\) | |||||||
\(510\) | 2.46387 | + | 1.42470i | 0.109102 | + | 0.0630867i | ||||
\(511\) | −2.99050 | −0.132292 | ||||||||
\(512\) | −22.6270 | − | 0.135434i | −0.999982 | − | 0.00598540i | ||||
\(513\) | 2.14755i | 0.0948166i | ||||||||
\(514\) | 14.3103 | − | 24.7482i | 0.631202 | − | 1.09160i | ||||
\(515\) | −57.2851 | −2.52428 | ||||||||
\(516\) | 5.50515 | + | 9.56456i | 0.242351 | + | 0.421056i | ||||
\(517\) | 6.32085i | 0.277991i | ||||||||
\(518\) | 10.5326 | − | 18.2151i | 0.462777 | − | 0.800324i | ||||
\(519\) | −14.8244 | −0.650720 | ||||||||
\(520\) | 9.89082 | + | 0.0197337i | 0.433741 | + | 0.000865378i | ||||
\(521\) | − | 8.86494i | − | 0.388380i | −0.980964 | − | 0.194190i | \(-0.937792\pi\) | ||
0.980964 | − | 0.194190i | \(-0.0622078\pi\) | |||||||
\(522\) | 4.74453 | − | 8.20516i | 0.207662 | − | 0.359130i | ||||
\(523\) | 3.50424i | 0.153230i | 0.997061 | + | 0.0766148i | \(0.0244112\pi\) | ||||
−0.997061 | + | 0.0766148i | \(0.975589\pi\) | |||||||
\(524\) | −10.4141 | + | 5.99416i | −0.454944 | + | 0.261856i | ||||
\(525\) | −6.76470 | −0.295236 | ||||||||
\(526\) | 34.1030 | + | 19.7196i | 1.48696 | + | 0.859816i | ||||
\(527\) | −3.04426 | −0.132610 | ||||||||
\(528\) | −4.40325 | + | 7.58002i | −0.191627 | + | 0.329878i | ||||
\(529\) | −7.35958 | −0.319982 | ||||||||
\(530\) | −0.0151155 | + | 0.0261407i | −0.000656577 | + | 0.00113548i | ||||
\(531\) | 0.119485i | 0.00518519i | ||||||||
\(532\) | 5.14427 | − | 2.96093i | 0.223032 | − | 0.128372i | ||||
\(533\) | −2.82124 | −0.122202 | ||||||||
\(534\) | 9.34454 | − | 16.1604i | 0.404378 | − | 0.699329i | ||||
\(535\) | −52.9883 | −2.29089 | ||||||||
\(536\) | 23.1495 | − | 0.318522i | 0.999905 | − | 0.0137581i | ||||
\(537\) | 7.74057 | 0.334030 | ||||||||
\(538\) | −7.51612 | + | 12.9983i | −0.324043 | + | 0.560398i | ||||
\(539\) | 11.1555 | 0.480502 | ||||||||
\(540\) | 5.45260 | − | 3.13840i | 0.234643 | − | 0.135055i | ||||
\(541\) | − | 30.5009i | − | 1.31134i | −0.755049 | − | 0.655669i | \(-0.772387\pi\) | ||
0.755049 | − | 0.655669i | \(-0.227613\pi\) | |||||||
\(542\) | 3.98583 | − | 6.89307i | 0.171206 | − | 0.296083i | ||||
\(543\) | −6.47986 | −0.278078 | ||||||||
\(544\) | 1.79913 | + | 3.14025i | 0.0771370 | + | 0.134637i | ||||
\(545\) | −39.2889 | −1.68295 | ||||||||
\(546\) | −1.88080 | − | 1.08755i | −0.0804909 | − | 0.0465429i | ||||
\(547\) | 24.1720 | 1.03352 | 0.516760 | − | 0.856130i | \(-0.327138\pi\) | ||||
0.516760 | + | 0.856130i | \(0.327138\pi\) | |||||||
\(548\) | 20.1230 | − | 11.5824i | 0.859612 | − | 0.494774i | ||||
\(549\) | − | 10.3863i | − | 0.443278i | ||||||
\(550\) | 7.59444 | − | 13.1338i | 0.323828 | − | 0.560026i | ||||
\(551\) | − | 14.3930i | − | 0.613163i | ||||||
\(552\) | −0.0310933 | + | 15.5845i | −0.00132342 | + | 0.663319i | ||||
\(553\) | 2.38837 | 0.101564 | ||||||||
\(554\) | −10.4739 | + | 18.1135i | −0.444993 | + | 0.769568i | ||||
\(555\) | − | 33.8669i | − | 1.43757i | ||||||
\(556\) | 10.3849 | + | 18.0426i | 0.440418 | + | 0.765175i | ||||
\(557\) | 25.5094 | 1.08087 | 0.540435 | − | 0.841386i | \(-0.318260\pi\) | ||||
0.540435 | + | 0.841386i | \(0.318260\pi\) | |||||||
\(558\) | −3.36852 | + | 5.82550i | −0.142601 | + | 0.246613i | ||||
\(559\) | − | 6.13408i | − | 0.259444i | ||||||
\(560\) | −15.0355 | − | 8.73417i | −0.635366 | − | 0.369086i | ||||
\(561\) | 1.40209 | 0.0591964 | ||||||||
\(562\) | −15.0816 | − | 8.72077i | −0.636181 | − | 0.367864i | ||||
\(563\) | 27.1023 | 1.14222 | 0.571112 | − | 0.820872i | \(-0.306512\pi\) | ||||
0.571112 | + | 0.820872i | \(0.306512\pi\) | |||||||
\(564\) | 4.99943 | − | 2.87756i | 0.210514 | − | 0.121167i | ||||
\(565\) | 20.8840 | 0.878597 | ||||||||
\(566\) | 9.18485 | + | 5.31103i | 0.386068 | + | 0.223239i | ||||
\(567\) | −1.38193 | −0.0580357 | ||||||||
\(568\) | 0.0297515 | − | 14.9119i | 0.00124834 | − | 0.625689i | ||||
\(569\) | −26.4581 | −1.10918 | −0.554590 | − | 0.832123i | \(-0.687125\pi\) | ||||
−0.554590 | + | 0.832123i | \(0.687125\pi\) | |||||||
\(570\) | 4.78232 | − | 8.27051i | 0.200309 | − | 0.346413i | ||||
\(571\) | − | 11.9001i | − | 0.498002i | −0.968503 | − | 0.249001i | \(-0.919898\pi\) | ||
0.968503 | − | 0.249001i | \(-0.0801022\pi\) | |||||||
\(572\) | 4.22299 | − | 2.43066i | 0.176572 | − | 0.101631i | ||||
\(573\) | 4.35527 | 0.181944 | ||||||||
\(574\) | 4.29366 | + | 2.48276i | 0.179214 | + | 0.103628i | ||||
\(575\) | − | 26.9718i | − | 1.12480i | ||||||
\(576\) | 7.99994 | + | 0.0319223i | 0.333331 | + | 0.00133009i | ||||
\(577\) | − | 41.8269i | − | 1.74128i | −0.491924 | − | 0.870638i | \(-0.663706\pi\) | ||
0.491924 | − | 0.870638i | \(-0.336294\pi\) | |||||||
\(578\) | −11.7449 | + | 20.3116i | −0.488523 | + | 0.844849i | ||||
\(579\) | 9.69919 | 0.403085 | ||||||||
\(580\) | −36.5437 | + | 21.0337i | −1.51739 | + | 0.873378i | ||||
\(581\) | − | 8.72639i | − | 0.362032i | ||||||
\(582\) | −6.27167 | − | 3.62651i | −0.259969 | − | 0.150324i | ||||
\(583\) | 0.0148757i | 0.000616089i | ||||||||
\(584\) | −6.12071 | − | 0.0122117i | −0.253277 | − | 0.000505325i | ||||
\(585\) | −3.49694 | −0.144581 | ||||||||
\(586\) | −4.25870 | + | 7.36498i | −0.175925 | + | 0.304244i | ||||
\(587\) | −5.82667 | −0.240492 | −0.120246 | − | 0.992744i | \(-0.538368\pi\) | ||||
−0.120246 | + | 0.992744i | \(0.538368\pi\) | |||||||
\(588\) | −5.07853 | − | 8.82336i | −0.209435 | − | 0.363869i | ||||
\(589\) | 10.2187i | 0.421056i | ||||||||
\(590\) | 0.266077 | − | 0.460152i | 0.0109542 | − | 0.0189441i | ||||
\(591\) | − | 9.45364i | − | 0.388871i | ||||||
\(592\) | 21.6317 | − | 37.2381i | 0.889057 | − | 1.53048i | ||||
\(593\) | 36.1548i | 1.48470i | 0.670013 | + | 0.742349i | \(0.266289\pi\) | ||||
−0.670013 | + | 0.742349i | \(0.733711\pi\) | |||||||
\(594\) | 1.55144 | − | 2.68304i | 0.0636562 | − | 0.110087i | ||||
\(595\) | 2.78115i | 0.114016i | ||||||||
\(596\) | −17.9952 | − | 31.2646i | −0.737112 | − | 1.28065i | ||||
\(597\) | 14.4262i | 0.590425i | ||||||||
\(598\) | 4.33621 | − | 7.49902i | 0.177321 | − | 0.306658i | ||||
\(599\) | −7.36156 | −0.300785 | −0.150393 | − | 0.988626i | \(-0.548054\pi\) | ||||
−0.150393 | + | 0.988626i | \(0.548054\pi\) | |||||||
\(600\) | −13.8454 | − | 0.0276237i | −0.565237 | − | 0.00112773i | ||||
\(601\) | −7.88351 | −0.321575 | −0.160788 | − | 0.986989i | \(-0.551403\pi\) | ||||
−0.160788 | + | 0.986989i | \(0.551403\pi\) | |||||||
\(602\) | −5.39813 | + | 9.33548i | −0.220011 | + | 0.380486i | ||||
\(603\) | −8.18434 | + | 0.128944i | −0.333292 | + | 0.00525100i | ||||
\(604\) | −39.0807 | + | 22.4940i | −1.59017 | + | 0.915268i | ||||
\(605\) | 19.4941i | 0.792548i | ||||||||
\(606\) | 7.73383 | + | 4.47199i | 0.314165 | + | 0.181662i | ||||
\(607\) | − | 31.0113i | − | 1.25871i | −0.777118 | − | 0.629355i | \(-0.783319\pi\) | ||
0.777118 | − | 0.629355i | \(-0.216681\pi\) | |||||||
\(608\) | 10.5409 | − | 6.03917i | 0.427492 | − | 0.244921i | ||||
\(609\) | 9.26179 | 0.375307 | ||||||||
\(610\) | −23.1290 | + | 39.9992i | −0.936467 | + | 1.61952i | ||||
\(611\) | −3.20630 | −0.129713 | ||||||||
\(612\) | −0.638302 | − | 1.10897i | −0.0258018 | − | 0.0448277i | ||||
\(613\) | −26.0434 | −1.05188 | −0.525941 | − | 0.850521i | \(-0.676287\pi\) | ||||
−0.525941 | + | 0.850521i | \(0.676287\pi\) | |||||||
\(614\) | −15.1165 | − | 8.74092i | −0.610052 | − | 0.352755i | ||||
\(615\) | 7.98312 | 0.321910 | ||||||||
\(616\) | −8.56603 | − | 0.0170905i | −0.345135 | − | 0.000688596i | ||||
\(617\) | 24.7270 | 0.995472 | 0.497736 | − | 0.867329i | \(-0.334165\pi\) | ||||
0.497736 | + | 0.867329i | \(0.334165\pi\) | |||||||
\(618\) | 22.2951 | + | 12.8919i | 0.896842 | + | 0.518587i | ||||
\(619\) | 21.3340i | 0.857487i | 0.903426 | + | 0.428743i | \(0.141044\pi\) | ||||
−0.903426 | + | 0.428743i | \(0.858956\pi\) | |||||||
\(620\) | 25.9453 | − | 14.9335i | 1.04199 | − | 0.599745i | ||||
\(621\) | − | 5.50995i | − | 0.221107i | ||||||
\(622\) | 13.2959 | − | 22.9938i | 0.533116 | − | 0.921968i | ||||
\(623\) | 18.2415 | 0.730829 | ||||||||
\(624\) | −3.84503 | − | 2.23359i | −0.153924 | − | 0.0894150i | ||||
\(625\) | −25.5135 | −1.02054 | ||||||||
\(626\) | 41.8761 | + | 24.2143i | 1.67371 | + | 0.967799i | ||||
\(627\) | − | 4.70644i | − | 0.187957i | ||||||
\(628\) | −15.3773 | − | 26.7163i | −0.613623 | − | 1.06610i | ||||
\(629\) | −6.88801 | −0.274643 | ||||||||
\(630\) | 5.32201 | + | 3.07738i | 0.212034 | + | 0.122606i | ||||
\(631\) | −34.0951 | −1.35731 | −0.678653 | − | 0.734459i | \(-0.737436\pi\) | ||||
−0.678653 | + | 0.734459i | \(0.737436\pi\) | |||||||
\(632\) | 4.88832 | + | 0.00975293i | 0.194447 | + | 0.000387951i | ||||
\(633\) | − | 0.971455i | − | 0.0386119i | ||||||
\(634\) | −12.1736 | + | 21.0529i | −0.483475 | + | 0.836118i | ||||
\(635\) | −34.2557 | −1.35939 | ||||||||
\(636\) | 0.0117658 | − | 0.00677215i | 0.000466545 | − | 0.000268533i | ||||
\(637\) | 5.65872i | 0.224207i | ||||||||
\(638\) | −10.3978 | + | 17.9819i | −0.411653 | + | 0.711911i | ||||
\(639\) | 5.27216i | 0.208563i | ||||||||
\(640\) | −30.7378 | − | 17.9378i | −1.21502 | − | 0.709052i | ||||
\(641\) | − | 27.8415i | − | 1.09967i | −0.835273 | − | 0.549836i | \(-0.814690\pi\) | ||
0.835273 | − | 0.549836i | \(-0.185310\pi\) | |||||||
\(642\) | 20.6229 | + | 11.9249i | 0.813919 | + | 0.470638i | ||||
\(643\) | 4.70790i | 0.185662i | 0.995682 | + | 0.0928308i | \(0.0295916\pi\) | ||||
−0.995682 | + | 0.0928308i | \(0.970408\pi\) | |||||||
\(644\) | −13.1986 | + | 7.59683i | −0.520098 | + | 0.299357i | ||||
\(645\) | 17.3573i | 0.683442i | ||||||||
\(646\) | −1.68209 | − | 0.972649i | −0.0661811 | − | 0.0382684i | ||||
\(647\) | 40.9256 | 1.60895 | 0.804475 | − | 0.593986i | \(-0.202447\pi\) | ||||
0.804475 | + | 0.593986i | \(0.202447\pi\) | |||||||
\(648\) | −2.82842 | − | 0.00564312i | −0.111111 | − | 0.000221683i | ||||
\(649\) | − | 0.261855i | − | 0.0102787i | ||||||
\(650\) | 6.66221 | + | 3.85234i | 0.261313 | + | 0.151101i | ||||
\(651\) | −6.57568 | −0.257721 | ||||||||
\(652\) | −7.73132 | + | 4.44998i | −0.302782 | + | 0.174275i | ||||
\(653\) | 1.64074i | 0.0642071i | 0.999485 | + | 0.0321036i | \(0.0102206\pi\) | ||||
−0.999485 | + | 0.0321036i | \(0.989779\pi\) | |||||||
\(654\) | 15.2911 | + | 8.84187i | 0.597928 | + | 0.345744i | ||||
\(655\) | −18.8991 | −0.738448 | ||||||||
\(656\) | 8.77777 | + | 5.09903i | 0.342714 | + | 0.199084i | ||||
\(657\) | 2.16400 | 0.0844258 | ||||||||
\(658\) | 4.87969 | + | 2.82162i | 0.190230 | + | 0.109998i | ||||
\(659\) | 1.17743i | 0.0458661i | 0.999737 | + | 0.0229331i | \(0.00730046\pi\) | ||||
−0.999737 | + | 0.0229331i | \(0.992700\pi\) | |||||||
\(660\) | −11.9496 | + | 6.87792i | −0.465137 | + | 0.267723i | ||||
\(661\) | 6.28049i | 0.244283i | 0.992513 | + | 0.122141i | \(0.0389762\pi\) | ||||
−0.992513 | + | 0.122141i | \(0.961024\pi\) | |||||||
\(662\) | 21.4382 | − | 37.0751i | 0.833219 | − | 1.44096i | ||||
\(663\) | 0.711223i | 0.0276216i | ||||||||
\(664\) | 0.0356343 | − | 17.8604i | 0.00138288 | − | 0.693120i | ||||
\(665\) | 9.33555 | 0.362017 | ||||||||
\(666\) | −7.62168 | + | 13.1809i | −0.295334 | + | 0.510749i | ||||
\(667\) | 36.9280i | 1.42986i | ||||||||
\(668\) | −6.80803 | + | 3.91855i | −0.263410 | + | 0.151613i | ||||
\(669\) | − | 1.40727i | − | 0.0544083i | ||||||
\(670\) | 31.8061 | + | 17.7289i | 1.22878 | + | 0.684926i | ||||
\(671\) | 22.7620i | 0.878719i | ||||||||
\(672\) | 3.88616 | + | 6.78302i | 0.149912 | + | 0.261660i | ||||
\(673\) | 15.5875i | 0.600853i | 0.953805 | + | 0.300426i | \(0.0971289\pi\) | ||||
−0.953805 | + | 0.300426i | \(0.902871\pi\) | |||||||
\(674\) | 33.9601 | + | 19.6370i | 1.30809 | + | 0.756389i | ||||
\(675\) | 4.89510 | 0.188413 | ||||||||
\(676\) | −11.7371 | − | 20.3918i | −0.451426 | − | 0.784299i | ||||
\(677\) | 4.46472i | 0.171593i | 0.996313 | + | 0.0857967i | \(0.0273435\pi\) | ||||
−0.996313 | + | 0.0857967i | \(0.972656\pi\) | |||||||
\(678\) | −8.12798 | − | 4.69990i | −0.312153 | − | 0.180499i | ||||
\(679\) | − | 7.07931i | − | 0.271679i | ||||||
\(680\) | −0.0113568 | + | 5.69223i | −0.000435515 | + | 0.218287i | ||||
\(681\) | − | 1.05501i | − | 0.0404282i | ||||||
\(682\) | 7.38223 | − | 12.7668i | 0.282680 | − | 0.488866i | ||||
\(683\) | 10.6789 | 0.408616 | 0.204308 | − | 0.978907i | \(-0.434506\pi\) | ||||
0.204308 | + | 0.978907i | \(0.434506\pi\) | |||||||
\(684\) | −3.72252 | + | 2.14260i | −0.142334 | + | 0.0819244i | ||||
\(685\) | 36.5182 | 1.39529 | ||||||||
\(686\) | 11.8279 | − | 20.4551i | 0.451591 | − | 0.780979i | ||||
\(687\) | − | 19.5924i | − | 0.747495i | ||||||
\(688\) | −11.0865 | + | 19.0850i | −0.422671 | + | 0.727610i | ||||
\(689\) | −0.00754582 | −0.000287473 | ||||||||
\(690\) | −12.2700 | + | 21.2196i | −0.467109 | + | 0.807816i | ||||
\(691\) | − | 36.5726i | − | 1.39129i | −0.718387 | − | 0.695643i | \(-0.755119\pi\) | ||
0.718387 | − | 0.695643i | \(-0.244881\pi\) | |||||||
\(692\) | −14.7903 | − | 25.6963i | −0.562241 | − | 0.976829i | ||||
\(693\) | 3.02855 | 0.115045 | ||||||||
\(694\) | 9.73997 | − | 16.8442i | 0.369724 | − | 0.639399i | ||||
\(695\) | 32.7427i | 1.24200i | ||||||||
\(696\) | 18.9562 | + | 0.0378205i | 0.718535 | + | 0.00143358i | ||||
\(697\) | − | 1.62364i | − | 0.0614999i | ||||||
\(698\) | 19.8104 | − | 34.2600i | 0.749836 | − | 1.29676i | ||||
\(699\) | 7.76027i | 0.293521i | ||||||||
\(700\) | −6.74911 | − | 11.7258i | −0.255092 | − | 0.443193i | ||||
\(701\) | − | 52.7118i | − | 1.99090i | −0.0952943 | − | 0.995449i | \(-0.530379\pi\) | ||
0.0952943 | − | 0.995449i | \(-0.469621\pi\) | |||||||
\(702\) | 1.36100 | + | 0.786978i | 0.0513675 | + | 0.0297026i | ||||
\(703\) | 23.1211i | 0.872029i | ||||||||
\(704\) | −17.5322 | − | 0.0699588i | −0.660768 | − | 0.00263667i | ||||
\(705\) | 9.07271 | 0.341698 | ||||||||
\(706\) | −15.6414 | − | 9.04443i | −0.588671 | − | 0.340392i | ||||
\(707\) | 8.72976i | 0.328317i | ||||||||
\(708\) | −0.207112 | + | 0.119209i | −0.00778376 | + | 0.00448016i | ||||
\(709\) | −30.2718 | −1.13688 | −0.568441 | − | 0.822724i | \(-0.692453\pi\) | ||||
−0.568441 | + | 0.822724i | \(0.692453\pi\) | |||||||
\(710\) | 11.7404 | − | 20.3038i | 0.440610 | − | 0.761988i | ||||
\(711\) | −1.72829 | −0.0648158 | ||||||||
\(712\) | 37.3351 | + | 0.0744891i | 1.39919 | + | 0.00279160i | ||||
\(713\) | − | 26.2181i | − | 0.981877i | ||||||
\(714\) | 0.625892 | − | 1.08241i | 0.0234234 | − | 0.0405083i | ||||
\(715\) | 7.66367 | 0.286605 | ||||||||
\(716\) | 7.72273 | + | 13.4174i | 0.288612 | + | 0.501430i | ||||
\(717\) | 12.9701 | 0.484378 | ||||||||
\(718\) | 19.3838 | + | 11.2084i | 0.723395 | + | 0.418294i | ||||
\(719\) | − | 31.4605i | − | 1.17328i | −0.809849 | − | 0.586639i | \(-0.800451\pi\) | ||
0.809849 | − | 0.586639i | \(-0.199549\pi\) | |||||||
\(720\) | 10.8801 | + | 6.32026i | 0.405476 | + | 0.235542i | ||||
\(721\) | 25.1662i | 0.937239i | ||||||||
\(722\) | 10.1856 | − | 17.6149i | 0.379068 | − | 0.655559i | ||||
\(723\) | 11.1159 | 0.413406 | ||||||||
\(724\) | −6.46493 | − | 11.2321i | −0.240267 | − | 0.417436i | ||||
\(725\) | −32.8073 | −1.21843 | ||||||||
\(726\) | 4.38710 | − | 7.58703i | 0.162821 | − | 0.281581i | ||||
\(727\) | −12.3523 | −0.458120 | −0.229060 | − | 0.973412i | \(-0.573565\pi\) | ||||
−0.229060 | + | 0.973412i | \(0.573565\pi\) | |||||||
\(728\) | 0.00866930 | − | 4.34519i | 0.000321306 | − | 0.161043i | ||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | −8.33387 | − | 4.81895i | −0.308450 | − | 0.178357i | ||||
\(731\) | 3.53020 | 0.130569 | ||||||||
\(732\) | 18.0035 | − | 10.3624i | 0.665427 | − | 0.383005i | ||||
\(733\) | − | 34.5045i | − | 1.27445i | −0.770677 | − | 0.637226i | \(-0.780082\pi\) | ||
0.770677 | − | 0.637226i | \(-0.219918\pi\) | |||||||
\(734\) | −7.73473 | + | 13.3764i | −0.285494 | + | 0.493732i | ||||
\(735\) | − | 16.0122i | − | 0.590618i | ||||||
\(736\) | −27.0448 | + | 15.4947i | −0.996885 | + | 0.571141i | ||||
\(737\) | 17.9363 | − | 0.282585i | 0.660691 | − | 0.0104092i | ||||
\(738\) | −3.10700 | − | 1.79658i | −0.114370 | − | 0.0661331i | ||||
\(739\) | 10.6844 | 0.393032 | 0.196516 | − | 0.980501i | \(-0.437037\pi\) | ||||
0.196516 | + | 0.980501i | \(0.437037\pi\) | |||||||
\(740\) | 58.7042 | − | 33.7889i | 2.15801 | − | 1.24210i | ||||
\(741\) | 2.38738 | 0.0877025 | ||||||||
\(742\) | 0.0114840 | + | 0.00664049i | 0.000421592 | + | 0.000243780i | ||||
\(743\) | 34.7212i | 1.27380i | 0.770947 | + | 0.636899i | \(0.219783\pi\) | ||||
−0.770947 | + | 0.636899i | \(0.780217\pi\) | |||||||
\(744\) | −13.4585 | − | 0.0268518i | −0.493414 | − | 0.000984435i | ||||
\(745\) | − | 56.7374i | − | 2.07870i | ||||||
\(746\) | 17.2886 | + | 9.99691i | 0.632981 | + | 0.366013i | ||||
\(747\) | 6.31463i | 0.231040i | ||||||||
\(748\) | 1.39886 | + | 2.43036i | 0.0511475 | + | 0.0888628i | ||||
\(749\) | 23.2786i | 0.850581i | ||||||||
\(750\) | 0.403975 | + | 0.233593i | 0.0147511 | + | 0.00852962i | ||||
\(751\) | 42.8498i | 1.56361i | 0.623522 | + | 0.781806i | \(0.285701\pi\) | ||||
−0.623522 | + | 0.781806i | \(0.714299\pi\) | |||||||
\(752\) | 9.97582 | + | 5.79498i | 0.363781 | + | 0.211321i | ||||
\(753\) | 16.3410 | 0.595497 | ||||||||
\(754\) | −9.12147 | − | 5.27438i | −0.332184 | − | 0.192081i | ||||
\(755\) | −70.9216 | −2.58110 | ||||||||
\(756\) | −1.37875 | − | 2.39541i | −0.0501445 | − | 0.0871203i | ||||
\(757\) | 28.2434i | 1.02652i | 0.858232 | + | 0.513262i | \(0.171563\pi\) | ||||
−0.858232 | + | 0.513262i | \(0.828437\pi\) | |||||||
\(758\) | −10.0490 | + | 17.3787i | −0.364996 | + | 0.631222i | ||||
\(759\) | 12.0753i | 0.438304i | ||||||||
\(760\) | 19.1072 | + | 0.0381218i | 0.693092 | + | 0.00138282i | ||||
\(761\) | 49.9893 | 1.81211 | 0.906056 | − | 0.423158i | \(-0.139079\pi\) | ||||
0.906056 | + | 0.423158i | \(0.139079\pi\) | |||||||
\(762\) | 13.3322 | + | 7.70916i | 0.482974 | + | 0.279273i | ||||
\(763\) | 17.2602i | 0.624861i | ||||||||
\(764\) | 4.34523 | + | 7.54934i | 0.157205 | + | 0.273125i | ||||
\(765\) | − | 2.01251i | − | 0.0727625i | ||||||
\(766\) | 9.56816 | − | 16.5471i | 0.345712 | − | 0.597872i | ||||
\(767\) | 0.132828 | 0.00479615 | ||||||||
\(768\) | 7.92617 | + | 13.8988i | 0.286011 | + | 0.501529i | ||||
\(769\) | − | 14.2597i | − | 0.514219i | −0.966382 | − | 0.257110i | \(-0.917230\pi\) | ||
0.966382 | − | 0.257110i | \(-0.0827702\pi\) | |||||||
\(770\) | −11.6634 | − | 6.74420i | −0.420319 | − | 0.243044i | ||||
\(771\) | −20.2146 | −0.728011 | ||||||||
\(772\) | 9.67684 | + | 16.8124i | 0.348277 | + | 0.605091i | ||||
\(773\) | −7.05027 | −0.253580 | −0.126790 | − | 0.991930i | \(-0.540468\pi\) | ||||
−0.126790 | + | 0.991930i | \(0.540468\pi\) | |||||||
\(774\) | 3.90622 | − | 6.75539i | 0.140406 | − | 0.242817i | ||||
\(775\) | 23.2925 | 0.836691 | ||||||||
\(776\) | 0.0289084 | − | 14.4893i | 0.00103775 | − | 0.520137i | ||||
\(777\) | −14.8783 | −0.533755 | ||||||||
\(778\) | 9.46979 | − | 16.3770i | 0.339508 | − | 0.587143i | ||||
\(779\) | −5.45012 | −0.195271 | ||||||||
\(780\) | −3.48888 | − | 6.06152i | −0.124922 | − | 0.217037i | ||||
\(781\) | − | 11.5541i | − | 0.413440i | ||||||
\(782\) | 4.31573 | + | 2.49552i | 0.154330 | + | 0.0892396i | ||||
\(783\) | −6.70206 | −0.239512 | ||||||||
\(784\) | 10.2274 | − | 17.6060i | 0.365264 | − | 0.628787i | ||||
\(785\) | − | 48.4835i | − | 1.73045i | ||||||
\(786\) | 7.35544 | + | 4.25319i | 0.262360 | + | 0.151706i | ||||
\(787\) | −35.9660 | −1.28205 | −0.641024 | − | 0.767521i | \(-0.721490\pi\) | ||||
−0.641024 | + | 0.767521i | \(0.721490\pi\) | |||||||
\(788\) | 16.3868 | − | 9.43186i | 0.583754 | − | 0.335996i | ||||
\(789\) | − | 27.8557i | − | 0.991688i | ||||||
\(790\) | 6.65587 | + | 3.84867i | 0.236805 | + | 0.136930i | ||||
\(791\) | − | 9.17467i | − | 0.326214i | ||||||
\(792\) | 6.19859 | + | 0.0123671i | 0.220257 | + | 0.000439446i | ||||
\(793\) | −11.5462 | −0.410019 | ||||||||
\(794\) | −8.54867 | + | 14.7840i | −0.303381 | + | 0.524665i | ||||
\(795\) | 0.0213520 | 0.000757278 | ||||||||
\(796\) | −25.0061 | + | 14.3930i | −0.886317 | + | 0.510145i | ||||
\(797\) | 38.0086 | 1.34633 | 0.673166 | − | 0.739491i | \(-0.264934\pi\) | ||||
0.673166 | + | 0.739491i | \(0.264934\pi\) | |||||||
\(798\) | −3.63336 | − | 2.10095i | −0.128620 | − | 0.0743727i | ||||
\(799\) | − | 1.84525i | − | 0.0652802i | ||||||
\(800\) | −13.7656 | − | 24.0269i | −0.486688 | − | 0.849480i | ||||
\(801\) | −13.2000 | −0.466398 | ||||||||
\(802\) | −35.2141 | − | 20.3621i | −1.24345 | − | 0.719012i | ||||
\(803\) | −4.74249 | −0.167359 | ||||||||
\(804\) | −8.38898 | − | 14.0579i | −0.295857 | − | 0.495784i | ||||
\(805\) | −23.9522 | −0.844203 | ||||||||
\(806\) | 6.47606 | + | 3.74470i | 0.228109 | + | 0.131901i | ||||
\(807\) | 10.6172 | 0.373742 | ||||||||
\(808\) | −0.0356480 | + | 17.8673i | −0.00125409 | + | 0.628571i | ||||
\(809\) | − | 7.19050i | − | 0.252804i | −0.991979 | − | 0.126402i | \(-0.959657\pi\) | ||
0.991979 | − | 0.126402i | \(-0.0403430\pi\) | |||||||
\(810\) | −3.85114 | − | 2.22687i | −0.135315 | − | 0.0782443i | ||||
\(811\) | 32.8682 | 1.15416 | 0.577079 | − | 0.816689i | \(-0.304193\pi\) | ||||
0.577079 | + | 0.816689i | \(0.304193\pi\) | |||||||
\(812\) | 9.24044 | + | 16.0542i | 0.324276 | + | 0.563392i | ||||
\(813\) | −5.63033 | −0.197464 | ||||||||
\(814\) | 16.7032 | − | 28.8864i | 0.585446 | − | 1.01247i | ||||
\(815\) | −14.0304 | −0.491464 | ||||||||
\(816\) | 1.28544 | − | 2.21284i | 0.0449995 | − | 0.0774648i | ||||
\(817\) | − | 11.8499i | − | 0.414576i | ||||||
\(818\) | 21.1312 | + | 12.2188i | 0.738834 | + | 0.427222i | ||||
\(819\) | 1.53626i | 0.0536812i | ||||||||
\(820\) | 7.96472 | + | 13.8378i | 0.278140 | + | 0.483236i | ||||
\(821\) | −19.4101 | −0.677418 | −0.338709 | − | 0.940891i | \(-0.609990\pi\) | ||||
−0.338709 | + | 0.940891i | \(0.609990\pi\) | |||||||
\(822\) | −14.2127 | − | 8.21834i | −0.495726 | − | 0.286648i | ||||
\(823\) | − | 42.2307i | − | 1.47207i | −0.676944 | − | 0.736034i | \(-0.736696\pi\) | ||
0.676944 | − | 0.736034i | \(-0.263304\pi\) | |||||||
\(824\) | −0.102766 | + | 51.5081i | −0.00358003 | + | 1.79437i | ||||
\(825\) | −10.7278 | −0.373494 | ||||||||
\(826\) | −0.202152 | − | 0.116892i | −0.00703376 | − | 0.00406718i | ||||
\(827\) | − | 13.9836i | − | 0.486258i | −0.969994 | − | 0.243129i | \(-0.921826\pi\) | ||
0.969994 | − | 0.243129i | \(-0.0781738\pi\) | |||||||
\(828\) | 9.55084 | − | 5.49725i | 0.331915 | − | 0.191043i | ||||
\(829\) | 30.0609 | 1.04406 | 0.522030 | − | 0.852927i | \(-0.325175\pi\) | ||||
0.522030 | + | 0.852927i | \(0.325175\pi\) | |||||||
\(830\) | 14.0619 | − | 24.3185i | 0.488095 | − | 0.844108i | ||||
\(831\) | 14.7953 | 0.513243 | ||||||||
\(832\) | 0.0354872 | − | 8.89333i | 0.00123030 | − | 0.308321i | ||||
\(833\) | −3.25663 | −0.112836 | ||||||||
\(834\) | 7.36868 | − | 12.7433i | 0.255156 | − | 0.441266i | ||||
\(835\) | −12.3549 | −0.427557 | ||||||||
\(836\) | 8.15804 | − | 4.69559i | 0.282152 | − | 0.162400i | ||||
\(837\) | 4.75833 | 0.164472 | ||||||||
\(838\) | 9.76030 | + | 5.64377i | 0.337164 | + | 0.194961i | ||||
\(839\) | − | 47.3646i | − | 1.63521i | −0.575781 | − | 0.817604i | \(-0.695302\pi\) | ||
0.575781 | − | 0.817604i | \(-0.304698\pi\) | |||||||
\(840\) | −0.0245311 | + | 12.2953i | −0.000846402 | + | 0.424230i | ||||
\(841\) | 15.9176 | 0.548883 | ||||||||
\(842\) | 15.3046 | − | 26.4677i | 0.527431 | − | 0.912137i | ||||
\(843\) | 12.3188i | 0.424284i | ||||||||
\(844\) | 1.68390 | − | 0.969216i | 0.0579622 | − | 0.0333618i | ||||
\(845\) | − | 37.0060i | − | 1.27304i | ||||||
\(846\) | −3.53106 | − | 2.04179i | −0.121400 | − | 0.0701983i | ||||
\(847\) | 8.56406 | 0.294265 | ||||||||
\(848\) | 0.0234774 | + | 0.0136381i | 0.000806217 | + | 0.000468334i | ||||
\(849\) | − | 7.50228i | − | 0.257478i | ||||||
\(850\) | −2.21705 | + | 3.83415i | −0.0760441 | + | 0.131510i | ||||
\(851\) | − | 59.3217i | − | 2.03352i | ||||||
\(852\) | −9.13866 | + | 5.26001i | −0.313085 | + | 0.180205i | ||||
\(853\) | 13.1189 | 0.449183 | 0.224592 | − | 0.974453i | \(-0.427895\pi\) | ||||
0.224592 | + | 0.974453i | \(0.427895\pi\) | |||||||
\(854\) | 17.5723 | + | 10.1609i | 0.601311 | + | 0.347700i | ||||
\(855\) | −6.75544 | −0.231031 | ||||||||
\(856\) | −0.0950582 | + | 47.6447i | −0.00324902 | + | 1.62846i | ||||
\(857\) | 45.5182i | 1.55487i | 0.628961 | + | 0.777436i | \(0.283480\pi\) | ||||
−0.628961 | + | 0.777436i | \(0.716520\pi\) | |||||||
\(858\) | −2.98267 | − | 1.72469i | −0.101827 | − | 0.0588800i | ||||
\(859\) | − | 30.6691i | − | 1.04642i | −0.852205 | − | 0.523208i | \(-0.824735\pi\) | ||
0.852205 | − | 0.523208i | \(-0.175265\pi\) | |||||||
\(860\) | −30.0867 | + | 17.3173i | −1.02595 | + | 0.590514i | ||||
\(861\) | − | 3.50711i | − | 0.119522i | ||||||
\(862\) | −0.531125 | − | 0.307116i | −0.0180902 | − | 0.0104604i | ||||
\(863\) | − | 25.2201i | − | 0.858502i | −0.903185 | − | 0.429251i | \(-0.858778\pi\) | ||
0.903185 | − | 0.429251i | \(-0.141222\pi\) | |||||||
\(864\) | −2.81212 | − | 4.90836i | −0.0956703 | − | 0.166986i | ||||
\(865\) | − | 46.6324i | − | 1.58555i | ||||||
\(866\) | −35.4730 | − | 20.5118i | −1.20542 | − | 0.697019i | ||||
\(867\) | 16.5907 | 0.563449 | ||||||||
\(868\) | −6.56053 | − | 11.3981i | −0.222679 | − | 0.386878i | ||||
\(869\) | 3.78760 | 0.128486 | ||||||||
\(870\) | 25.8105 | + | 14.9246i | 0.875059 | + | 0.505992i | ||||
\(871\) | 0.143344 | + | 9.09833i | 0.00485701 | + | 0.308285i | ||||
\(872\) | −0.0704821 | + | 35.3267i | −0.00238682 | + | 1.19631i | ||||
\(873\) | 5.12276i | 0.173379i | ||||||||
\(874\) | 8.37676 | − | 14.4867i | 0.283348 | − | 0.490020i | ||||
\(875\) | 0.455997i | 0.0154155i | ||||||||
\(876\) | 2.15901 | + | 3.75104i | 0.0729463 | + | 0.126736i | ||||
\(877\) | 48.9065 | 1.65145 | 0.825727 | − | 0.564069i | \(-0.190765\pi\) | ||||
0.825727 | + | 0.564069i | \(0.190765\pi\) | |||||||
\(878\) | −18.0026 | − | 10.4098i | −0.607558 | − | 0.351313i | ||||
\(879\) | 6.01579 | 0.202908 | ||||||||
\(880\) | −23.8441 | − | 13.8511i | −0.803784 | − | 0.466920i | ||||
\(881\) | −30.6112 | −1.03132 | −0.515658 | − | 0.856794i | \(-0.672453\pi\) | ||||
−0.515658 | + | 0.856794i | \(0.672453\pi\) | |||||||
\(882\) | −3.60351 | + | 6.23188i | −0.121336 | + | 0.209838i | ||||
\(883\) | −0.660511 | −0.0222280 | −0.0111140 | − | 0.999938i | \(-0.503538\pi\) | ||||
−0.0111140 | + | 0.999938i | \(0.503538\pi\) | |||||||
\(884\) | −1.23282 | + | 0.709584i | −0.0414642 | + | 0.0238659i | ||||
\(885\) | −0.375857 | −0.0126343 | ||||||||
\(886\) | 22.1395 | − | 38.2879i | 0.743790 | − | 1.28631i | ||||
\(887\) | 43.0586i | 1.44577i | 0.690971 | + | 0.722883i | \(0.257183\pi\) | ||||
−0.690971 | + | 0.722883i | \(0.742817\pi\) | |||||||
\(888\) | −30.4516 | − | 0.0607554i | −1.02189 | − | 0.00203882i | ||||
\(889\) | 15.0490i | 0.504729i | ||||||||
\(890\) | 50.8349 | + | 29.3946i | 1.70399 | + | 0.985311i | ||||
\(891\) | −2.19154 | −0.0734193 | ||||||||
\(892\) | 2.43934 | − | 1.40403i | 0.0816750 | − | 0.0470103i | ||||
\(893\) | −6.19398 | −0.207274 | ||||||||
\(894\) | −12.7686 | + | 22.0820i | −0.427046 | + | 0.738531i | ||||
\(895\) | 24.3491i | 0.813901i | ||||||||
\(896\) | −7.88034 | + | 13.5036i | −0.263264 | + | 0.451123i | ||||
\(897\) | −6.12528 | −0.204517 | ||||||||
\(898\) | −13.4671 | + | 23.2899i | −0.449402 | + | 0.777193i | ||||
\(899\) | −31.8906 | −1.06361 | ||||||||
\(900\) | 4.88382 | + | 8.48507i | 0.162794 | + | 0.282836i | ||||
\(901\) | − | 0.00434267i | − | 0.000144675i | ||||||
\(902\) | 6.80911 | + | 3.93728i | 0.226718 | + | 0.131097i | ||||
\(903\) | 7.62532 | 0.253755 | ||||||||
\(904\) | 0.0374648 | − | 18.7779i | 0.00124606 | − | 0.624545i | ||||
\(905\) | − | 20.3834i | − | 0.677566i | ||||||
\(906\) | 27.6024 | + | 15.9608i | 0.917029 | + | 0.530261i | ||||
\(907\) | 20.5458i | 0.682211i | 0.940025 | + | 0.341106i | \(0.110801\pi\) | ||||
−0.940025 | + | 0.341106i | \(0.889199\pi\) | |||||||
\(908\) | 1.82874 | − | 1.05258i | 0.0606889 | − | 0.0349312i | ||||
\(909\) | − | 6.31707i | − | 0.209524i | ||||||
\(910\) | 3.42105 | − | 5.91634i | 0.113407 | − | 0.196125i | ||||
\(911\) | − | 14.9460i | − | 0.495184i | −0.968864 | − | 0.247592i | \(-0.920361\pi\) | ||
0.968864 | − | 0.247592i | \(-0.0796393\pi\) | |||||||
\(912\) | −7.42788 | − | 4.31487i | −0.245962 | − | 0.142880i | ||||
\(913\) | − | 13.8388i | − | 0.457996i | ||||||
\(914\) | −23.7295 | + | 41.0376i | −0.784901 | + | 1.35740i | ||||
\(915\) | 32.6718 | 1.08010 | ||||||||
\(916\) | 33.9610 | − | 19.5472i | 1.12210 | − | 0.645858i | ||||
\(917\) | 8.30265i | 0.274178i | ||||||||
\(918\) | −0.452911 | + | 0.783262i | −0.0149483 | + | 0.0258515i | ||||
\(919\) | 58.4298 | 1.92742 | 0.963711 | − | 0.266948i | \(-0.0860153\pi\) | ||||
0.963711 | + | 0.266948i | \(0.0860153\pi\) | |||||||
\(920\) | −49.0233 | − | 0.0978087i | −1.61625 | − | 0.00322466i | ||||
\(921\) | 12.3473i | 0.406858i | ||||||||
\(922\) | 8.07246 | − | 13.9605i | 0.265852 | − | 0.459763i | ||||
\(923\) | 5.86093 | 0.192915 | ||||||||
\(924\) | 3.02158 | + | 5.24963i | 0.0994025 | + | 0.172700i | ||||
\(925\) | 52.7020 | 1.73283 | ||||||||
\(926\) | −27.1822 | + | 47.0088i | −0.893264 | + | 1.54481i | ||||
\(927\) | − | 18.2109i | − | 0.598124i | ||||||
\(928\) | 18.8470 | + | 32.8961i | 0.618683 | + | 1.07987i | ||||
\(929\) | 8.57190i | 0.281235i | 0.990064 | + | 0.140618i | \(0.0449088\pi\) | ||||
−0.990064 | + | 0.140618i | \(0.955091\pi\) | |||||||
\(930\) | −18.3250 | − | 10.5962i | −0.600899 | − | 0.347462i | ||||
\(931\) | 10.9316i | 0.358269i | ||||||||
\(932\) | −13.4515 | + | 7.74239i | −0.440619 | + | 0.253610i | ||||
\(933\) | −18.7816 | −0.614881 | ||||||||
\(934\) | −15.2760 | − | 8.83315i | −0.499846 | − | 0.289030i | ||||
\(935\) | 4.41049i | 0.144239i | ||||||||
\(936\) | −0.00627332 | + | 3.14429i | −0.000205050 | + | 0.102774i | ||||
\(937\) | 37.0400i | 1.21004i | 0.796209 | + | 0.605022i | \(0.206836\pi\) | ||||
−0.796209 | + | 0.605022i | \(0.793164\pi\) | |||||||
\(938\) | 7.78857 | − | 13.9729i | 0.254306 | − | 0.456232i | ||||
\(939\) | − | 34.2048i | − | 1.11623i | ||||||
\(940\) | 9.05180 | + | 15.7264i | 0.295237 | + | 0.512940i | ||||
\(941\) | 2.35672i | 0.0768268i | 0.999262 | + | 0.0384134i | \(0.0122304\pi\) | ||||
−0.999262 | + | 0.0384134i | \(0.987770\pi\) | |||||||
\(942\) | −10.9111 | + | 18.8696i | −0.355503 | + | 0.614804i | ||||
\(943\) | 13.9833 | 0.455360 | ||||||||
\(944\) | −0.413270 | − | 0.240070i | −0.0134508 | − | 0.00781360i | ||||
\(945\) | − | 4.34707i | − | 0.141410i | ||||||
\(946\) | −8.56062 | + | 14.8047i | −0.278330 | + | 0.481342i | ||||
\(947\) | 57.8744i | 1.88066i | 0.340259 | + | 0.940332i | \(0.389485\pi\) | ||||
−0.340259 | + | 0.940332i | \(0.610515\pi\) | |||||||
\(948\) | −1.72430 | − | 2.99578i | −0.0560028 | − | 0.0972983i | ||||
\(949\) | − | 2.40567i | − | 0.0780913i | ||||||
\(950\) | 12.8702 | + | 7.44200i | 0.417563 | + | 0.241451i | ||||
\(951\) | 17.1962 | 0.557627 | ||||||||
\(952\) | 2.50068 | + | 0.00498924i | 0.0810476 | + | 0.000161702i | ||||
\(953\) | −3.54818 | −0.114937 | −0.0574684 | − | 0.998347i | \(-0.518303\pi\) | ||||
−0.0574684 | + | 0.998347i | \(0.518303\pi\) | |||||||
\(954\) | −0.00831012 | − | 0.00480522i | −0.000269050 | − | 0.000155575i | ||||
\(955\) | 13.7002i | 0.443327i | ||||||||
\(956\) | 12.9402 | + | 22.4822i | 0.418517 | + | 0.727125i | ||||
\(957\) | 14.6878 | 0.474790 | ||||||||
\(958\) | −6.71854 | − | 3.88491i | −0.217066 | − | 0.125516i | ||||
\(959\) | − | 16.0430i | − | 0.518056i | ||||||
\(960\) | −0.100416 | + | 25.1650i | −0.00324092 | + | 0.812196i | ||||
\(961\) | −8.35834 | −0.269624 | ||||||||
\(962\) | 14.6529 | + | 8.47283i | 0.472427 | + | 0.273175i | ||||
\(963\) | − | 16.8450i | − | 0.542821i | ||||||
\(964\) | 11.0903 | + | 19.2681i | 0.357195 | + | 0.620584i | ||||
\(965\) | 30.5102i | 0.982160i | ||||||||
\(966\) | 9.32209 | + | 5.39038i | 0.299933 | + | 0.173433i | ||||
\(967\) | 17.9433i | 0.577016i | 0.957477 | + | 0.288508i | \(0.0931592\pi\) | ||||
−0.957477 | + | 0.288508i | \(0.906841\pi\) | |||||||
\(968\) | 17.5282 | + | 0.0349714i | 0.563377 | + | 0.00112402i | ||||
\(969\) | 1.37395i | 0.0441377i | ||||||||
\(970\) | 11.4077 | − | 19.7285i | 0.366280 | − | 0.633443i | ||||
\(971\) | − | 51.3581i | − | 1.64816i | −0.566474 | − | 0.824080i | \(-0.691693\pi\) | ||
0.566474 | − | 0.824080i | \(-0.308307\pi\) | |||||||
\(972\) | 0.997695 | + | 1.73338i | 0.0320011 | + | 0.0555982i | ||||
\(973\) | 14.3844 | 0.461142 | ||||||||
\(974\) | 21.4014 | − | 37.0115i | 0.685746 | − | 1.18593i | ||||
\(975\) | − | 5.44176i | − | 0.174276i | ||||||
\(976\) | 35.9239 | + | 20.8683i | 1.14990 | + | 0.667978i | ||||
\(977\) | −8.39664 | −0.268632 | −0.134316 | − | 0.990939i | \(-0.542884\pi\) | ||||
−0.134316 | + | 0.990939i | \(0.542884\pi\) | |||||||
\(978\) | 5.46058 | + | 3.15751i | 0.174610 | + | 0.100966i | ||||
\(979\) | 28.9282 | 0.924551 | ||||||||
\(980\) | 27.7552 | − | 15.9753i | 0.886607 | − | 0.510312i | ||||
\(981\) | − | 12.4899i | − | 0.398772i | ||||||
\(982\) | −32.7596 | − | 18.9428i | −1.04540 | − | 0.604490i | ||||
\(983\) | −49.0943 | −1.56586 | −0.782932 | − | 0.622107i | \(-0.786277\pi\) | ||||
−0.782932 | + | 0.622107i | \(0.786277\pi\) | |||||||
\(984\) | 0.0143213 | − | 7.17805i | 0.000456546 | − | 0.228828i | ||||
\(985\) | 29.7378 | 0.947526 | ||||||||
\(986\) | 3.03544 | − | 5.24947i | 0.0966680 | − | 0.167177i | ||||
\(987\) | − | 3.98578i | − | 0.126869i | ||||||
\(988\) | 2.38188 | + | 4.13823i | 0.0757776 | + | 0.131655i | ||||
\(989\) | 30.4032i | 0.966766i | ||||||||
\(990\) | 8.43991 | + | 4.88027i | 0.268238 | + | 0.155105i | ||||
\(991\) | −50.3560 | −1.59961 | −0.799805 | − | 0.600260i | \(-0.795064\pi\) | ||||
−0.799805 | + | 0.600260i | \(0.795064\pi\) | |||||||
\(992\) | −13.3810 | − | 23.3556i | −0.424847 | − | 0.741540i | ||||
\(993\) | −30.2833 | −0.961011 | ||||||||
\(994\) | −8.91978 | − | 5.15775i | −0.282918 | − | 0.163594i | ||||
\(995\) | −45.3797 | −1.43863 | ||||||||
\(996\) | −10.9457 | + | 6.30008i | −0.346826 | + | 0.199626i | ||||
\(997\) | −9.29175 | −0.294273 | −0.147136 | − | 0.989116i | \(-0.547006\pi\) | ||||
−0.147136 | + | 0.989116i | \(0.547006\pi\) | |||||||
\(998\) | −20.1723 | + | 34.8858i | −0.638541 | + | 1.10429i | ||||
\(999\) | 10.7663 | 0.340630 |
(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.e.a.535.23 | ✓ | 34 | |
4.3 | odd | 2 | 804.2.e.b.535.11 | yes | 34 | ||
67.66 | odd | 2 | 804.2.e.b.535.12 | yes | 34 | ||
268.267 | even | 2 | inner | 804.2.e.a.535.24 | yes | 34 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
804.2.e.a.535.23 | ✓ | 34 | 1.1 | even | 1 | trivial | |
804.2.e.a.535.24 | yes | 34 | 268.267 | even | 2 | inner | |
804.2.e.b.535.11 | yes | 34 | 4.3 | odd | 2 | ||
804.2.e.b.535.12 | yes | 34 | 67.66 | odd | 2 |