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 | 535.2 | ||
Character | \(\chi\) | \(=\) | 804.535 |
Dual form | 804.2.e.a.535.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/804\mathbb{Z}\right)^\times\).
\(n\) | \(269\) | \(337\) | \(403\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.41091 | + | 0.0966035i | −0.997664 | + | 0.0683090i | ||||
\(3\) | −1.00000 | −0.577350 | ||||||||
\(4\) | 1.98134 | − | 0.272598i | 0.990668 | − | 0.136299i | ||||
\(5\) | 2.83991i | 1.27005i | 0.772494 | + | 0.635023i | \(0.219009\pi\) | ||||
−0.772494 | + | 0.635023i | \(0.780991\pi\) | |||||||
\(6\) | 1.41091 | − | 0.0966035i | 0.576002 | − | 0.0394382i | ||||
\(7\) | 0.830707 | 0.313978 | 0.156989 | − | 0.987600i | \(-0.449821\pi\) | ||||
0.156989 | + | 0.987600i | \(0.449821\pi\) | |||||||
\(8\) | −2.76915 | + | 0.576015i | −0.979043 | + | 0.203652i | ||||
\(9\) | 1.00000 | 0.333333 | ||||||||
\(10\) | −0.274345 | − | 4.00685i | −0.0867555 | − | 1.26708i | ||||
\(11\) | 3.46355 | 1.04430 | 0.522149 | − | 0.852854i | \(-0.325130\pi\) | ||||
0.522149 | + | 0.852854i | \(0.325130\pi\) | |||||||
\(12\) | −1.98134 | + | 0.272598i | −0.571962 | + | 0.0786922i | ||||
\(13\) | 0.104361i | 0.0289446i | 0.999895 | + | 0.0144723i | \(0.00460684\pi\) | ||||
−0.999895 | + | 0.0144723i | \(0.995393\pi\) | |||||||
\(14\) | −1.17205 | + | 0.0802492i | −0.313244 | + | 0.0214475i | ||||
\(15\) | − | 2.83991i | − | 0.733261i | ||||||
\(16\) | 3.85138 | − | 1.08021i | 0.962845 | − | 0.270054i | ||||
\(17\) | 4.98563 | 1.20919 | 0.604596 | − | 0.796532i | \(-0.293335\pi\) | ||||
0.604596 | + | 0.796532i | \(0.293335\pi\) | |||||||
\(18\) | −1.41091 | + | 0.0966035i | −0.332555 | + | 0.0227697i | ||||
\(19\) | − | 5.61991i | − | 1.28930i | −0.764480 | − | 0.644648i | \(-0.777004\pi\) | ||
0.764480 | − | 0.644648i | \(-0.222996\pi\) | |||||||
\(20\) | 0.774152 | + | 5.62681i | 0.173106 | + | 1.25819i | ||||
\(21\) | −0.830707 | −0.181275 | ||||||||
\(22\) | −4.88675 | + | 0.334590i | −1.04186 | + | 0.0713349i | ||||
\(23\) | 7.10115i | 1.48069i | 0.672225 | + | 0.740347i | \(0.265339\pi\) | ||||
−0.672225 | + | 0.740347i | \(0.734661\pi\) | |||||||
\(24\) | 2.76915 | − | 0.576015i | 0.565251 | − | 0.117579i | ||||
\(25\) | −3.06507 | −0.613014 | ||||||||
\(26\) | −0.0100817 | − | 0.147244i | −0.00197718 | − | 0.0288770i | ||||
\(27\) | −1.00000 | −0.192450 | ||||||||
\(28\) | 1.64591 | − | 0.226449i | 0.311048 | − | 0.0427948i | ||||
\(29\) | −0.746108 | −0.138549 | −0.0692744 | − | 0.997598i | \(-0.522068\pi\) | ||||
−0.0692744 | + | 0.997598i | \(0.522068\pi\) | |||||||
\(30\) | 0.274345 | + | 4.00685i | 0.0500883 | + | 0.731548i | ||||
\(31\) | −2.40557 | −0.432053 | −0.216026 | − | 0.976388i | \(-0.569310\pi\) | ||||
−0.216026 | + | 0.976388i | \(0.569310\pi\) | |||||||
\(32\) | −5.32960 | + | 1.89614i | −0.942149 | + | 0.335194i | ||||
\(33\) | −3.46355 | −0.602926 | ||||||||
\(34\) | −7.03427 | + | 0.481629i | −1.20637 | + | 0.0825986i | ||||
\(35\) | 2.35913i | 0.398766i | ||||||||
\(36\) | 1.98134 | − | 0.272598i | 0.330223 | − | 0.0454329i | ||||
\(37\) | 0.364230 | 0.0598790 | 0.0299395 | − | 0.999552i | \(-0.490469\pi\) | ||||
0.0299395 | + | 0.999552i | \(0.490469\pi\) | |||||||
\(38\) | 0.542903 | + | 7.92918i | 0.0880704 | + | 1.28628i | ||||
\(39\) | − | 0.104361i | − | 0.0167112i | ||||||
\(40\) | −1.63583 | − | 7.86414i | −0.258647 | − | 1.24343i | ||||
\(41\) | − | 9.73143i | − | 1.51979i | −0.650043 | − | 0.759897i | \(-0.725249\pi\) | ||
0.650043 | − | 0.759897i | \(-0.274751\pi\) | |||||||
\(42\) | 1.17205 | − | 0.0802492i | 0.180852 | − | 0.0123827i | ||||
\(43\) | 11.3309 | 1.72795 | 0.863974 | − | 0.503537i | \(-0.167968\pi\) | ||||
0.863974 | + | 0.503537i | \(0.167968\pi\) | |||||||
\(44\) | 6.86244 | − | 0.944154i | 1.03455 | − | 0.142337i | ||||
\(45\) | 2.83991i | 0.423348i | ||||||||
\(46\) | −0.685996 | − | 10.0191i | −0.101145 | − | 1.47723i | ||||
\(47\) | 3.75302i | 0.547434i | 0.961810 | + | 0.273717i | \(0.0882532\pi\) | ||||
−0.961810 | + | 0.273717i | \(0.911747\pi\) | |||||||
\(48\) | −3.85138 | + | 1.08021i | −0.555899 | + | 0.155916i | ||||
\(49\) | −6.30993 | −0.901418 | ||||||||
\(50\) | 4.32454 | − | 0.296097i | 0.611583 | − | 0.0418744i | ||||
\(51\) | −4.98563 | −0.698127 | ||||||||
\(52\) | 0.0284486 | + | 0.206775i | 0.00394511 | + | 0.0286745i | ||||
\(53\) | 6.44190i | 0.884863i | 0.896802 | + | 0.442431i | \(0.145884\pi\) | ||||
−0.896802 | + | 0.442431i | \(0.854116\pi\) | |||||||
\(54\) | 1.41091 | − | 0.0966035i | 0.192001 | − | 0.0131461i | ||||
\(55\) | 9.83615i | 1.32631i | ||||||||
\(56\) | −2.30036 | + | 0.478500i | −0.307398 | + | 0.0639422i | ||||
\(57\) | 5.61991i | 0.744375i | ||||||||
\(58\) | 1.05269 | − | 0.0720766i | 0.138225 | − | 0.00946412i | ||||
\(59\) | 14.0828i | 1.83342i | 0.399554 | + | 0.916710i | \(0.369165\pi\) | ||||
−0.399554 | + | 0.916710i | \(0.630835\pi\) | |||||||
\(60\) | −0.774152 | − | 5.62681i | −0.0999426 | − | 0.726418i | ||||
\(61\) | 8.51998i | 1.09087i | 0.838152 | + | 0.545436i | \(0.183636\pi\) | ||||
−0.838152 | + | 0.545436i | \(0.816364\pi\) | |||||||
\(62\) | 3.39404 | − | 0.232386i | 0.431043 | − | 0.0295131i | ||||
\(63\) | 0.830707 | 0.104659 | ||||||||
\(64\) | 7.33641 | − | 3.19015i | 0.917052 | − | 0.398768i | ||||
\(65\) | −0.296376 | −0.0367609 | ||||||||
\(66\) | 4.88675 | − | 0.334590i | 0.601518 | − | 0.0411852i | ||||
\(67\) | −3.84069 | + | 7.22836i | −0.469214 | + | 0.883084i | ||||
\(68\) | 9.87820 | − | 1.35907i | 1.19791 | − | 0.164811i | ||||
\(69\) | − | 7.10115i | − | 0.854879i | ||||||
\(70\) | −0.227900 | − | 3.32852i | −0.0272393 | − | 0.397835i | ||||
\(71\) | − | 6.72717i | − | 0.798368i | −0.916871 | − | 0.399184i | \(-0.869293\pi\) | ||
0.916871 | − | 0.399184i | \(-0.130707\pi\) | |||||||
\(72\) | −2.76915 | + | 0.576015i | −0.326348 | + | 0.0678840i | ||||
\(73\) | 14.6886 | 1.71917 | 0.859587 | − | 0.510990i | \(-0.170721\pi\) | ||||
0.859587 | + | 0.510990i | \(0.170721\pi\) | |||||||
\(74\) | −0.513895 | + | 0.0351858i | −0.0597391 | + | 0.00409027i | ||||
\(75\) | 3.06507 | 0.353924 | ||||||||
\(76\) | −1.53197 | − | 11.1349i | −0.175729 | − | 1.27726i | ||||
\(77\) | 2.87719 | 0.327886 | ||||||||
\(78\) | 0.0100817 | + | 0.147244i | 0.00114152 | + | 0.0166721i | ||||
\(79\) | −2.89902 | −0.326166 | −0.163083 | − | 0.986612i | \(-0.552144\pi\) | ||||
−0.163083 | + | 0.986612i | \(0.552144\pi\) | |||||||
\(80\) | 3.06771 | + | 10.9376i | 0.342980 | + | 1.22286i | ||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | 0.940090 | + | 13.7302i | 0.103816 | + | 1.51624i | ||||
\(83\) | 12.2117i | 1.34041i | 0.742176 | + | 0.670205i | \(0.233794\pi\) | ||||
−0.742176 | + | 0.670205i | \(0.766206\pi\) | |||||||
\(84\) | −1.64591 | + | 0.226449i | −0.179583 | + | 0.0247076i | ||||
\(85\) | 14.1587i | 1.53573i | ||||||||
\(86\) | −15.9869 | + | 1.09460i | −1.72391 | + | 0.118034i | ||||
\(87\) | 0.746108 | 0.0799912 | ||||||||
\(88\) | −9.59109 | + | 1.99505i | −1.02241 | + | 0.212673i | ||||
\(89\) | 0.183921 | 0.0194956 | 0.00974781 | − | 0.999952i | \(-0.496897\pi\) | ||||
0.00974781 | + | 0.999952i | \(0.496897\pi\) | |||||||
\(90\) | −0.274345 | − | 4.00685i | −0.0289185 | − | 0.422359i | ||||
\(91\) | 0.0866936i | 0.00908796i | ||||||||
\(92\) | 1.93576 | + | 14.0698i | 0.201817 | + | 1.46687i | ||||
\(93\) | 2.40557 | 0.249446 | ||||||||
\(94\) | −0.362555 | − | 5.29517i | −0.0373947 | − | 0.546155i | ||||
\(95\) | 15.9600 | 1.63746 | ||||||||
\(96\) | 5.32960 | − | 1.89614i | 0.543950 | − | 0.193524i | ||||
\(97\) | − | 11.8227i | − | 1.20042i | −0.799843 | − | 0.600209i | \(-0.795084\pi\) | ||
0.799843 | − | 0.600209i | \(-0.204916\pi\) | |||||||
\(98\) | 8.90274 | − | 0.609561i | 0.899312 | − | 0.0615749i | ||||
\(99\) | 3.46355 | 0.348099 | ||||||||
\(100\) | −6.07294 | + | 0.835531i | −0.607294 | + | 0.0835531i | ||||
\(101\) | − | 6.95362i | − | 0.691911i | −0.938251 | − | 0.345956i | \(-0.887555\pi\) | ||
0.938251 | − | 0.345956i | \(-0.112445\pi\) | |||||||
\(102\) | 7.03427 | − | 0.481629i | 0.696497 | − | 0.0476884i | ||||
\(103\) | 9.83657i | 0.969226i | 0.874729 | + | 0.484613i | \(0.161040\pi\) | ||||
−0.874729 | + | 0.484613i | \(0.838960\pi\) | |||||||
\(104\) | −0.0601136 | − | 0.288992i | −0.00589462 | − | 0.0283380i | ||||
\(105\) | − | 2.35913i | − | 0.230228i | ||||||
\(106\) | −0.622310 | − | 9.08894i | −0.0604441 | − | 0.882796i | ||||
\(107\) | 2.81620i | 0.272253i | 0.990691 | + | 0.136126i | \(0.0434653\pi\) | ||||
−0.990691 | + | 0.136126i | \(0.956535\pi\) | |||||||
\(108\) | −1.98134 | + | 0.272598i | −0.190654 | + | 0.0262307i | ||||
\(109\) | 12.0217i | 1.15147i | 0.817637 | + | 0.575733i | \(0.195283\pi\) | ||||
−0.817637 | + | 0.575733i | \(0.804717\pi\) | |||||||
\(110\) | −0.950206 | − | 13.8779i | −0.0905986 | − | 1.32321i | ||||
\(111\) | −0.364230 | −0.0345711 | ||||||||
\(112\) | 3.19937 | − | 0.897342i | 0.302312 | − | 0.0847909i | ||||
\(113\) | − | 0.369820i | − | 0.0347898i | −0.999849 | − | 0.0173949i | \(-0.994463\pi\) | ||
0.999849 | − | 0.0173949i | \(-0.00553724\pi\) | |||||||
\(114\) | −0.542903 | − | 7.92918i | −0.0508475 | − | 0.742636i | ||||
\(115\) | −20.1666 | −1.88055 | ||||||||
\(116\) | −1.47829 | + | 0.203387i | −0.137256 | + | 0.0188840i | ||||
\(117\) | 0.104361i | 0.00964820i | ||||||||
\(118\) | −1.36044 | − | 19.8695i | −0.125239 | − | 1.82914i | ||||
\(119\) | 4.14160 | 0.379659 | ||||||||
\(120\) | 1.63583 | + | 7.86414i | 0.149330 | + | 0.717894i | ||||
\(121\) | 0.996145 | 0.0905586 | ||||||||
\(122\) | −0.823060 | − | 12.0209i | −0.0745163 | − | 1.08832i | ||||
\(123\) | 9.73143i | 0.877454i | ||||||||
\(124\) | −4.76624 | + | 0.655752i | −0.428021 | + | 0.0588883i | ||||
\(125\) | 5.49502i | 0.491489i | ||||||||
\(126\) | −1.17205 | + | 0.0802492i | −0.104415 | + | 0.00714917i | ||||
\(127\) | − | 3.14382i | − | 0.278969i | −0.990224 | − | 0.139484i | \(-0.955455\pi\) | ||
0.990224 | − | 0.139484i | \(-0.0445445\pi\) | |||||||
\(128\) | −10.0428 | + | 5.20973i | −0.887670 | + | 0.460480i | ||||
\(129\) | −11.3309 | −0.997631 | ||||||||
\(130\) | 0.418160 | − | 0.0286310i | 0.0366751 | − | 0.00251110i | ||||
\(131\) | − | 6.23500i | − | 0.544754i | −0.962191 | − | 0.272377i | \(-0.912190\pi\) | ||
0.962191 | − | 0.272377i | \(-0.0878098\pi\) | |||||||
\(132\) | −6.86244 | + | 0.944154i | −0.597299 | + | 0.0821781i | ||||
\(133\) | − | 4.66850i | − | 0.404810i | ||||||
\(134\) | 4.72058 | − | 10.5696i | 0.407796 | − | 0.913073i | ||||
\(135\) | − | 2.83991i | − | 0.244420i | ||||||
\(136\) | −13.8060 | + | 2.87179i | −1.18385 | + | 0.246254i | ||||
\(137\) | 0.00820934i | 0.000701371i | 1.00000 | 0.000350686i | \(0.000111627\pi\) | |||||
−1.00000 | 0.000350686i | \(0.999888\pi\) | ||||||||
\(138\) | 0.685996 | + | 10.0191i | 0.0583959 | + | 0.852882i | ||||
\(139\) | 14.5052 | 1.23031 | 0.615157 | − | 0.788404i | \(-0.289092\pi\) | ||||
0.615157 | + | 0.788404i | \(0.289092\pi\) | |||||||
\(140\) | 0.643094 | + | 4.67423i | 0.0543513 | + | 0.395045i | ||||
\(141\) | − | 3.75302i | − | 0.316061i | ||||||
\(142\) | 0.649868 | + | 9.49143i | 0.0545357 | + | 0.796503i | ||||
\(143\) | 0.361460i | 0.0302268i | ||||||||
\(144\) | 3.85138 | − | 1.08021i | 0.320948 | − | 0.0900179i | ||||
\(145\) | − | 2.11888i | − | 0.175963i | ||||||
\(146\) | −20.7243 | + | 1.41897i | −1.71516 | + | 0.117435i | ||||
\(147\) | 6.30993 | 0.520434 | ||||||||
\(148\) | 0.721661 | − | 0.0992881i | 0.0593202 | − | 0.00816143i | ||||
\(149\) | −17.3042 | −1.41762 | −0.708810 | − | 0.705400i | \(-0.750767\pi\) | ||||
−0.708810 | + | 0.705400i | \(0.750767\pi\) | |||||||
\(150\) | −4.32454 | + | 0.296097i | −0.353097 | + | 0.0241762i | ||||
\(151\) | − | 1.50526i | − | 0.122496i | −0.998123 | − | 0.0612480i | \(-0.980492\pi\) | ||
0.998123 | − | 0.0612480i | \(-0.0195081\pi\) | |||||||
\(152\) | 3.23715 | + | 15.5624i | 0.262567 | + | 1.26228i | ||||
\(153\) | 4.98563 | 0.403064 | ||||||||
\(154\) | −4.05946 | + | 0.277947i | −0.327121 | + | 0.0223976i | ||||
\(155\) | − | 6.83159i | − | 0.548726i | ||||||
\(156\) | −0.0284486 | − | 0.206775i | −0.00227771 | − | 0.0165552i | ||||
\(157\) | −18.4737 | −1.47436 | −0.737181 | − | 0.675695i | \(-0.763843\pi\) | ||||
−0.737181 | + | 0.675695i | \(0.763843\pi\) | |||||||
\(158\) | 4.09026 | − | 0.280056i | 0.325404 | − | 0.0222800i | ||||
\(159\) | − | 6.44190i | − | 0.510876i | ||||||
\(160\) | −5.38487 | − | 15.1356i | −0.425711 | − | 1.19657i | ||||
\(161\) | 5.89898i | 0.464905i | ||||||||
\(162\) | −1.41091 | + | 0.0966035i | −0.110852 | + | 0.00758989i | ||||
\(163\) | − | 5.89228i | − | 0.461519i | −0.973011 | − | 0.230760i | \(-0.925879\pi\) | ||
0.973011 | − | 0.230760i | \(-0.0741211\pi\) | |||||||
\(164\) | −2.65277 | − | 19.2812i | −0.207146 | − | 1.50561i | ||||
\(165\) | − | 9.83615i | − | 0.765743i | ||||||
\(166\) | −1.17969 | − | 17.2296i | −0.0915621 | − | 1.33728i | ||||
\(167\) | − | 16.4590i | − | 1.27364i | −0.771014 | − | 0.636818i | \(-0.780250\pi\) | ||
0.771014 | − | 0.636818i | \(-0.219750\pi\) | |||||||
\(168\) | 2.30036 | − | 0.478500i | 0.177476 | − | 0.0369170i | ||||
\(169\) | 12.9891 | 0.999162 | ||||||||
\(170\) | −1.36778 | − | 19.9767i | −0.104904 | − | 1.53214i | ||||
\(171\) | − | 5.61991i | − | 0.429765i | ||||||
\(172\) | 22.4503 | − | 3.08878i | 1.71182 | − | 0.235517i | ||||
\(173\) | −20.5170 | −1.55988 | −0.779939 | − | 0.625856i | \(-0.784750\pi\) | ||||
−0.779939 | + | 0.625856i | \(0.784750\pi\) | |||||||
\(174\) | −1.05269 | + | 0.0720766i | −0.0798043 | + | 0.00546411i | ||||
\(175\) | −2.54618 | −0.192473 | ||||||||
\(176\) | 13.3394 | − | 3.74137i | 1.00550 | − | 0.282017i | ||||
\(177\) | − | 14.0828i | − | 1.05853i | ||||||
\(178\) | −0.259497 | + | 0.0177674i | −0.0194501 | + | 0.00133173i | ||||
\(179\) | 1.77927 | 0.132989 | 0.0664946 | − | 0.997787i | \(-0.478818\pi\) | ||||
0.0664946 | + | 0.997787i | \(0.478818\pi\) | |||||||
\(180\) | 0.774152 | + | 5.62681i | 0.0577019 | + | 0.419398i | ||||
\(181\) | 6.31217 | 0.469180 | 0.234590 | − | 0.972094i | \(-0.424625\pi\) | ||||
0.234590 | + | 0.972094i | \(0.424625\pi\) | |||||||
\(182\) | −0.00837490 | − | 0.122317i | −0.000620789 | − | 0.00906673i | ||||
\(183\) | − | 8.51998i | − | 0.629815i | ||||||
\(184\) | −4.09037 | − | 19.6642i | −0.301546 | − | 1.44966i | ||||
\(185\) | 1.03438i | 0.0760490i | ||||||||
\(186\) | −3.39404 | + | 0.232386i | −0.248863 | + | 0.0170394i | ||||
\(187\) | 17.2679 | 1.26276 | ||||||||
\(188\) | 1.02306 | + | 7.43599i | 0.0746146 | + | 0.542325i | ||||
\(189\) | −0.830707 | −0.0604251 | ||||||||
\(190\) | −22.5181 | + | 1.54179i | −1.63364 | + | 0.111853i | ||||
\(191\) | −6.88525 | −0.498199 | −0.249100 | − | 0.968478i | \(-0.580135\pi\) | ||||
−0.249100 | + | 0.968478i | \(0.580135\pi\) | |||||||
\(192\) | −7.33641 | + | 3.19015i | −0.529460 | + | 0.230229i | ||||
\(193\) | 4.52451 | 0.325681 | 0.162841 | − | 0.986652i | \(-0.447934\pi\) | ||||
0.162841 | + | 0.986652i | \(0.447934\pi\) | |||||||
\(194\) | 1.14212 | + | 16.6808i | 0.0819993 | + | 1.19761i | ||||
\(195\) | 0.296376 | 0.0212239 | ||||||||
\(196\) | −12.5021 | + | 1.72007i | −0.893006 | + | 0.122862i | ||||
\(197\) | − | 18.2568i | − | 1.30074i | −0.759616 | − | 0.650372i | \(-0.774613\pi\) | ||
0.759616 | − | 0.650372i | \(-0.225387\pi\) | |||||||
\(198\) | −4.88675 | + | 0.334590i | −0.347286 | + | 0.0237783i | ||||
\(199\) | − | 21.1744i | − | 1.50102i | −0.660862 | − | 0.750508i | \(-0.729809\pi\) | ||
0.660862 | − | 0.750508i | \(-0.270191\pi\) | |||||||
\(200\) | 8.48765 | − | 1.76553i | 0.600168 | − | 0.124842i | ||||
\(201\) | 3.84069 | − | 7.22836i | 0.270901 | − | 0.509849i | ||||
\(202\) | 0.671744 | + | 9.81094i | 0.0472638 | + | 0.690295i | ||||
\(203\) | −0.619797 | −0.0435012 | ||||||||
\(204\) | −9.87820 | + | 1.35907i | −0.691612 | + | 0.0951539i | ||||
\(205\) | 27.6364 | 1.93021 | ||||||||
\(206\) | −0.950247 | − | 13.8785i | −0.0662068 | − | 0.966962i | ||||
\(207\) | 7.10115i | 0.493564i | ||||||||
\(208\) | 0.112733 | + | 0.401935i | 0.00781659 | + | 0.0278692i | ||||
\(209\) | − | 19.4648i | − | 1.34641i | ||||||
\(210\) | 0.227900 | + | 3.32852i | 0.0157266 | + | 0.229690i | ||||
\(211\) | − | 1.55196i | − | 0.106841i | −0.998572 | − | 0.0534206i | \(-0.982988\pi\) | ||
0.998572 | − | 0.0534206i | \(-0.0170124\pi\) | |||||||
\(212\) | 1.75605 | + | 12.7636i | 0.120606 | + | 0.876605i | ||||
\(213\) | 6.72717i | 0.460938i | ||||||||
\(214\) | −0.272055 | − | 3.97341i | −0.0185973 | − | 0.271617i | ||||
\(215\) | 32.1787i | 2.19457i | ||||||||
\(216\) | 2.76915 | − | 0.576015i | 0.188417 | − | 0.0391928i | ||||
\(217\) | −1.99832 | −0.135655 | ||||||||
\(218\) | −1.16133 | − | 16.9615i | −0.0786555 | − | 1.14878i | ||||
\(219\) | −14.6886 | −0.992565 | ||||||||
\(220\) | 2.68131 | + | 19.4887i | 0.180774 | + | 1.31393i | ||||
\(221\) | 0.520306i | 0.0349996i | ||||||||
\(222\) | 0.513895 | − | 0.0351858i | 0.0344904 | − | 0.00236152i | ||||
\(223\) | − | 22.1951i | − | 1.48629i | −0.669130 | − | 0.743146i | \(-0.733333\pi\) | ||
0.669130 | − | 0.743146i | \(-0.266667\pi\) | |||||||
\(224\) | −4.42734 | + | 1.57514i | −0.295814 | + | 0.105243i | ||||
\(225\) | −3.06507 | −0.204338 | ||||||||
\(226\) | 0.0357259 | + | 0.521783i | 0.00237645 | + | 0.0347085i | ||||
\(227\) | 0.0721997i | 0.00479206i | 0.999997 | + | 0.00239603i | \(0.000762681\pi\) | ||||
−0.999997 | + | 0.00239603i | \(0.999237\pi\) | |||||||
\(228\) | 1.53197 | + | 11.1349i | 0.101457 | + | 0.737428i | ||||
\(229\) | 13.6233i | 0.900253i | 0.892965 | + | 0.450126i | \(0.148621\pi\) | ||||
−0.892965 | + | 0.450126i | \(0.851379\pi\) | |||||||
\(230\) | 28.4533 | − | 1.94817i | 1.87615 | − | 0.128458i | ||||
\(231\) | −2.87719 | −0.189305 | ||||||||
\(232\) | 2.06609 | − | 0.429769i | 0.135645 | − | 0.0282157i | ||||
\(233\) | 5.76544i | 0.377707i | 0.982005 | + | 0.188853i | \(0.0604771\pi\) | ||||
−0.982005 | + | 0.188853i | \(0.939523\pi\) | |||||||
\(234\) | −0.0100817 | − | 0.147244i | −0.000659058 | − | 0.00962566i | ||||
\(235\) | −10.6582 | −0.695266 | ||||||||
\(236\) | 3.83893 | + | 27.9027i | 0.249893 | + | 1.81631i | ||||
\(237\) | 2.89902 | 0.188312 | ||||||||
\(238\) | −5.84342 | + | 0.400093i | −0.378773 | + | 0.0259341i | ||||
\(239\) | −11.4371 | −0.739805 | −0.369902 | − | 0.929071i | \(-0.620609\pi\) | ||||
−0.369902 | + | 0.929071i | \(0.620609\pi\) | |||||||
\(240\) | −3.06771 | − | 10.9376i | −0.198020 | − | 0.706017i | ||||
\(241\) | −6.96353 | −0.448560 | −0.224280 | − | 0.974525i | \(-0.572003\pi\) | ||||
−0.224280 | + | 0.974525i | \(0.572003\pi\) | |||||||
\(242\) | −1.40547 | + | 0.0962310i | −0.0903471 | + | 0.00618596i | ||||
\(243\) | −1.00000 | −0.0641500 | ||||||||
\(244\) | 2.32253 | + | 16.8809i | 0.148685 | + | 1.08069i | ||||
\(245\) | − | 17.9196i | − | 1.14484i | ||||||
\(246\) | −0.940090 | − | 13.7302i | −0.0599380 | − | 0.875404i | ||||
\(247\) | 0.586500 | 0.0373181 | ||||||||
\(248\) | 6.66138 | − | 1.38564i | 0.422998 | − | 0.0879884i | ||||
\(249\) | − | 12.2117i | − | 0.773886i | ||||||
\(250\) | −0.530838 | − | 7.75297i | −0.0335731 | − | 0.490341i | ||||
\(251\) | 14.7090 | 0.928422 | 0.464211 | − | 0.885725i | \(-0.346338\pi\) | ||||
0.464211 | + | 0.885725i | \(0.346338\pi\) | |||||||
\(252\) | 1.64591 | − | 0.226449i | 0.103683 | − | 0.0142649i | ||||
\(253\) | 24.5952i | 1.54628i | ||||||||
\(254\) | 0.303704 | + | 4.43565i | 0.0190561 | + | 0.278317i | ||||
\(255\) | − | 14.1587i | − | 0.886653i | ||||||
\(256\) | 13.6663 | − | 8.32064i | 0.854142 | − | 0.520040i | ||||
\(257\) | −9.81479 | −0.612230 | −0.306115 | − | 0.951995i | \(-0.599029\pi\) | ||||
−0.306115 | + | 0.951995i | \(0.599029\pi\) | |||||||
\(258\) | 15.9869 | − | 1.09460i | 0.995301 | − | 0.0681471i | ||||
\(259\) | 0.302568 | 0.0188007 | ||||||||
\(260\) | −0.587221 | + | 0.0807914i | −0.0364179 | + | 0.00501047i | ||||
\(261\) | −0.746108 | −0.0461829 | ||||||||
\(262\) | 0.602322 | + | 8.79702i | 0.0372116 | + | 0.543482i | ||||
\(263\) | 3.55540i | 0.219235i | 0.993974 | + | 0.109618i | \(0.0349626\pi\) | ||||
−0.993974 | + | 0.109618i | \(0.965037\pi\) | |||||||
\(264\) | 9.59109 | − | 1.99505i | 0.590291 | − | 0.122787i | ||||
\(265\) | −18.2944 | −1.12382 | ||||||||
\(266\) | 0.450993 | + | 6.58683i | 0.0276522 | + | 0.403865i | ||||
\(267\) | −0.183921 | −0.0112558 | ||||||||
\(268\) | −5.63925 | + | 15.3688i | −0.344472 | + | 0.938796i | ||||
\(269\) | −0.496512 | −0.0302729 | −0.0151364 | − | 0.999885i | \(-0.504818\pi\) | ||||
−0.0151364 | + | 0.999885i | \(0.504818\pi\) | |||||||
\(270\) | 0.274345 | + | 4.00685i | 0.0166961 | + | 0.243849i | ||||
\(271\) | −0.109495 | −0.00665132 | −0.00332566 | − | 0.999994i | \(-0.501059\pi\) | ||||
−0.00332566 | + | 0.999994i | \(0.501059\pi\) | |||||||
\(272\) | 19.2015 | − | 5.38555i | 1.16426 | − | 0.326547i | ||||
\(273\) | − | 0.0866936i | − | 0.00524694i | ||||||
\(274\) | −0.000793051 | − | 0.0115826i | −4.79099e−5 | − | 0.000699733i | ||||
\(275\) | −10.6160 | −0.640170 | ||||||||
\(276\) | −1.93576 | − | 14.0698i | −0.116519 | − | 0.846901i | ||||
\(277\) | 24.9675 | 1.50015 | 0.750076 | − | 0.661352i | \(-0.230017\pi\) | ||||
0.750076 | + | 0.661352i | \(0.230017\pi\) | |||||||
\(278\) | −20.4655 | + | 1.40125i | −1.22744 | + | 0.0840415i | ||||
\(279\) | −2.40557 | −0.144018 | ||||||||
\(280\) | −1.35889 | − | 6.53280i | −0.0812095 | − | 0.390409i | ||||
\(281\) | − | 11.6693i | − | 0.696132i | −0.937470 | − | 0.348066i | \(-0.886839\pi\) | ||
0.937470 | − | 0.348066i | \(-0.113161\pi\) | |||||||
\(282\) | 0.362555 | + | 5.29517i | 0.0215898 | + | 0.315323i | ||||
\(283\) | 4.42235i | 0.262881i | 0.991324 | + | 0.131441i | \(0.0419603\pi\) | ||||
−0.991324 | + | 0.131441i | \(0.958040\pi\) | |||||||
\(284\) | −1.83381 | − | 13.3288i | −0.108817 | − | 0.790918i | ||||
\(285\) | −15.9600 | −0.945390 | ||||||||
\(286\) | −0.0349183 | − | 0.509987i | −0.00206476 | − | 0.0301562i | ||||
\(287\) | − | 8.08397i | − | 0.477182i | ||||||
\(288\) | −5.32960 | + | 1.89614i | −0.314050 | + | 0.111731i | ||||
\(289\) | 7.85646 | 0.462145 | ||||||||
\(290\) | 0.204691 | + | 2.98955i | 0.0120199 | + | 0.175552i | ||||
\(291\) | 11.8227i | 0.693061i | ||||||||
\(292\) | 29.1031 | − | 4.00408i | 1.70313 | − | 0.234321i | ||||
\(293\) | 20.3159 | 1.18687 | 0.593433 | − | 0.804883i | \(-0.297772\pi\) | ||||
0.593433 | + | 0.804883i | \(0.297772\pi\) | |||||||
\(294\) | −8.90274 | + | 0.609561i | −0.519218 | + | 0.0355503i | ||||
\(295\) | −39.9937 | −2.32853 | ||||||||
\(296\) | −1.00861 | + | 0.209802i | −0.0586241 | + | 0.0121945i | ||||
\(297\) | −3.46355 | −0.200975 | ||||||||
\(298\) | 24.4147 | − | 1.67165i | 1.41431 | − | 0.0968361i | ||||
\(299\) | −0.741085 | −0.0428581 | ||||||||
\(300\) | 6.07294 | − | 0.835531i | 0.350621 | − | 0.0482394i | ||||
\(301\) | 9.41267 | 0.542537 | ||||||||
\(302\) | 0.145413 | + | 2.12378i | 0.00836758 | + | 0.122210i | ||||
\(303\) | 6.95362i | 0.399475i | ||||||||
\(304\) | −6.07071 | − | 21.6444i | −0.348179 | − | 1.24139i | ||||
\(305\) | −24.1960 | −1.38546 | ||||||||
\(306\) | −7.03427 | + | 0.481629i | −0.402122 | + | 0.0275329i | ||||
\(307\) | 6.44138i | 0.367629i | 0.982961 | + | 0.183815i | \(0.0588446\pi\) | ||||
−0.982961 | + | 0.183815i | \(0.941155\pi\) | |||||||
\(308\) | 5.70068 | − | 0.784316i | 0.324827 | − | 0.0446905i | ||||
\(309\) | − | 9.83657i | − | 0.559583i | ||||||
\(310\) | 0.659955 | + | 9.63876i | 0.0374829 | + | 0.547445i | ||||
\(311\) | 12.8429 | 0.728256 | 0.364128 | − | 0.931349i | \(-0.381367\pi\) | ||||
0.364128 | + | 0.931349i | \(0.381367\pi\) | |||||||
\(312\) | 0.0601136 | + | 0.288992i | 0.00340326 | + | 0.0163610i | ||||
\(313\) | 9.23607i | 0.522054i | 0.965332 | + | 0.261027i | \(0.0840611\pi\) | ||||
−0.965332 | + | 0.261027i | \(0.915939\pi\) | |||||||
\(314\) | 26.0647 | − | 1.78462i | 1.47092 | − | 0.100712i | ||||
\(315\) | 2.35913i | 0.132922i | ||||||||
\(316\) | −5.74394 | + | 0.790267i | −0.323122 | + | 0.0444560i | ||||
\(317\) | −17.3745 | −0.975849 | −0.487924 | − | 0.872886i | \(-0.662246\pi\) | ||||
−0.487924 | + | 0.872886i | \(0.662246\pi\) | |||||||
\(318\) | 0.622310 | + | 9.08894i | 0.0348974 | + | 0.509682i | ||||
\(319\) | −2.58418 | −0.144686 | ||||||||
\(320\) | 9.05972 | + | 20.8347i | 0.506454 | + | 1.16470i | ||||
\(321\) | − | 2.81620i | − | 0.157185i | ||||||
\(322\) | −0.569862 | − | 8.32293i | −0.0317572 | − | 0.463819i | ||||
\(323\) | − | 28.0188i | − | 1.55901i | ||||||
\(324\) | 1.98134 | − | 0.272598i | 0.110074 | − | 0.0151443i | ||||
\(325\) | − | 0.319875i | − | 0.0177435i | ||||||
\(326\) | 0.569215 | + | 8.31348i | 0.0315259 | + | 0.460441i | ||||
\(327\) | − | 12.0217i | − | 0.664800i | ||||||
\(328\) | 5.60545 | + | 26.9478i | 0.309509 | + | 1.48794i | ||||
\(329\) | 3.11766i | 0.171882i | ||||||||
\(330\) | 0.950206 | + | 13.8779i | 0.0523071 | + | 0.763954i | ||||
\(331\) | 26.4364 | 1.45307 | 0.726537 | − | 0.687127i | \(-0.241128\pi\) | ||||
0.726537 | + | 0.687127i | \(0.241128\pi\) | |||||||
\(332\) | 3.32889 | + | 24.1955i | 0.182696 | + | 1.32790i | ||||
\(333\) | 0.364230 | 0.0199597 | ||||||||
\(334\) | 1.59000 | + | 23.2222i | 0.0870007 | + | 1.27066i | ||||
\(335\) | −20.5279 | − | 10.9072i | −1.12156 | − | 0.595924i | ||||
\(336\) | −3.19937 | + | 0.897342i | −0.174540 | + | 0.0489540i | ||||
\(337\) | 27.3713i | 1.49101i | 0.666502 | + | 0.745504i | \(0.267791\pi\) | ||||
−0.666502 | + | 0.745504i | \(0.732209\pi\) | |||||||
\(338\) | −18.3265 | + | 1.25479i | −0.996828 | + | 0.0682517i | ||||
\(339\) | 0.369820i | 0.0200859i | ||||||||
\(340\) | 3.85963 | + | 28.0532i | 0.209318 | + | 1.52140i | ||||
\(341\) | −8.33179 | −0.451192 | ||||||||
\(342\) | 0.542903 | + | 7.92918i | 0.0293568 | + | 0.428761i | ||||
\(343\) | −11.0567 | −0.597003 | ||||||||
\(344\) | −31.3770 | + | 6.52677i | −1.69174 | + | 0.351900i | ||||
\(345\) | 20.1666 | 1.08573 | ||||||||
\(346\) | 28.9476 | − | 1.98201i | 1.55623 | − | 0.106554i | ||||
\(347\) | −29.8369 | −1.60173 | −0.800863 | − | 0.598847i | \(-0.795626\pi\) | ||||
−0.800863 | + | 0.598847i | \(0.795626\pi\) | |||||||
\(348\) | 1.47829 | − | 0.203387i | 0.0792447 | − | 0.0109027i | ||||
\(349\) | 30.3983 | 1.62718 | 0.813592 | − | 0.581437i | \(-0.197509\pi\) | ||||
0.813592 | + | 0.581437i | \(0.197509\pi\) | |||||||
\(350\) | 3.59243 | − | 0.245970i | 0.192023 | − | 0.0131476i | ||||
\(351\) | − | 0.104361i | − | 0.00557039i | ||||||
\(352\) | −18.4593 | + | 6.56738i | −0.983885 | + | 0.350042i | ||||
\(353\) | − | 32.7906i | − | 1.74527i | −0.488374 | − | 0.872634i | \(-0.662410\pi\) | ||
0.488374 | − | 0.872634i | \(-0.337590\pi\) | |||||||
\(354\) | 1.36044 | + | 19.8695i | 0.0723068 | + | 1.05605i | ||||
\(355\) | 19.1045 | 1.01396 | ||||||||
\(356\) | 0.364410 | − | 0.0501365i | 0.0193137 | − | 0.00265723i | ||||
\(357\) | −4.14160 | −0.219196 | ||||||||
\(358\) | −2.51040 | + | 0.171884i | −0.132679 | + | 0.00908435i | ||||
\(359\) | − | 16.1892i | − | 0.854433i | −0.904149 | − | 0.427217i | \(-0.859494\pi\) | ||
0.904149 | − | 0.427217i | \(-0.140506\pi\) | |||||||
\(360\) | −1.63583 | − | 7.86414i | −0.0862157 | − | 0.414476i | ||||
\(361\) | −12.5834 | −0.662282 | ||||||||
\(362\) | −8.90591 | + | 0.609778i | −0.468084 | + | 0.0320492i | ||||
\(363\) | −0.996145 | −0.0522840 | ||||||||
\(364\) | 0.0236325 | + | 0.171769i | 0.00123868 | + | 0.00900315i | ||||
\(365\) | 41.7143i | 2.18343i | ||||||||
\(366\) | 0.823060 | + | 12.0209i | 0.0430220 | + | 0.628344i | ||||
\(367\) | −16.9909 | −0.886916 | −0.443458 | − | 0.896295i | \(-0.646249\pi\) | ||||
−0.443458 | + | 0.896295i | \(0.646249\pi\) | |||||||
\(368\) | 7.67077 | + | 27.3493i | 0.399867 | + | 1.42568i | ||||
\(369\) | − | 9.73143i | − | 0.506598i | ||||||
\(370\) | −0.0999245 | − | 1.45941i | −0.00519483 | − | 0.0758714i | ||||
\(371\) | 5.35133i | 0.277827i | ||||||||
\(372\) | 4.76624 | − | 0.655752i | 0.247118 | − | 0.0339992i | ||||
\(373\) | 32.1515i | 1.66474i | 0.554221 | + | 0.832370i | \(0.313016\pi\) | ||||
−0.554221 | + | 0.832370i | \(0.686984\pi\) | |||||||
\(374\) | −24.3635 | + | 1.66814i | −1.25981 | + | 0.0862576i | ||||
\(375\) | − | 5.49502i | − | 0.283761i | ||||||
\(376\) | −2.16179 | − | 10.3927i | −0.111486 | − | 0.535962i | ||||
\(377\) | − | 0.0778647i | − | 0.00401024i | ||||||
\(378\) | 1.17205 | − | 0.0802492i | 0.0602839 | − | 0.00412757i | ||||
\(379\) | −2.28842 | −0.117548 | −0.0587740 | − | 0.998271i | \(-0.518719\pi\) | ||||
−0.0587740 | + | 0.998271i | \(0.518719\pi\) | |||||||
\(380\) | 31.6221 | − | 4.35066i | 1.62218 | − | 0.223184i | ||||
\(381\) | 3.14382i | 0.161063i | ||||||||
\(382\) | 9.71447 | − | 0.665139i | 0.497036 | − | 0.0340315i | ||||
\(383\) | 21.2913 | 1.08794 | 0.543968 | − | 0.839106i | \(-0.316921\pi\) | ||||
0.543968 | + | 0.839106i | \(0.316921\pi\) | |||||||
\(384\) | 10.0428 | − | 5.20973i | 0.512497 | − | 0.265858i | ||||
\(385\) | 8.17096i | 0.416431i | ||||||||
\(386\) | −6.38367 | + | 0.437083i | −0.324920 | + | 0.0222469i | ||||
\(387\) | 11.3309 | 0.575982 | ||||||||
\(388\) | −3.22285 | − | 23.4248i | −0.163615 | − | 1.18921i | ||||
\(389\) | 22.1748 | 1.12431 | 0.562154 | − | 0.827032i | \(-0.309973\pi\) | ||||
0.562154 | + | 0.827032i | \(0.309973\pi\) | |||||||
\(390\) | −0.418160 | + | 0.0286310i | −0.0211744 | + | 0.00144979i | ||||
\(391\) | 35.4037i | 1.79044i | ||||||||
\(392\) | 17.4731 | − | 3.63461i | 0.882527 | − | 0.183576i | ||||
\(393\) | 6.23500i | 0.314514i | ||||||||
\(394\) | 1.76367 | + | 25.7587i | 0.0888525 | + | 1.29771i | ||||
\(395\) | − | 8.23296i | − | 0.414245i | ||||||
\(396\) | 6.86244 | − | 0.944154i | 0.344851 | − | 0.0474455i | ||||
\(397\) | −12.5002 | −0.627366 | −0.313683 | − | 0.949528i | \(-0.601563\pi\) | ||||
−0.313683 | + | 0.949528i | \(0.601563\pi\) | |||||||
\(398\) | 2.04552 | + | 29.8752i | 0.102533 | + | 1.49751i | ||||
\(399\) | 4.66850i | 0.233717i | ||||||||
\(400\) | −11.8048 | + | 3.31094i | −0.590238 | + | 0.165547i | ||||
\(401\) | 24.4231i | 1.21963i | 0.792542 | + | 0.609817i | \(0.208757\pi\) | ||||
−0.792542 | + | 0.609817i | \(0.791243\pi\) | |||||||
\(402\) | −4.72058 | + | 10.5696i | −0.235441 | + | 0.527163i | ||||
\(403\) | − | 0.251048i | − | 0.0125056i | ||||||
\(404\) | −1.89554 | − | 13.7775i | −0.0943067 | − | 0.685454i | ||||
\(405\) | 2.83991i | 0.141116i | ||||||||
\(406\) | 0.874478 | − | 0.0598746i | 0.0433996 | − | 0.00297152i | ||||
\(407\) | 1.26153 | 0.0625315 | ||||||||
\(408\) | 13.8060 | − | 2.87179i | 0.683497 | − | 0.142175i | ||||
\(409\) | − | 32.9066i | − | 1.62713i | −0.581475 | − | 0.813564i | \(-0.697524\pi\) | ||
0.581475 | − | 0.813564i | \(-0.302476\pi\) | |||||||
\(410\) | −38.9924 | + | 2.66977i | −1.92570 | + | 0.131850i | ||||
\(411\) | − | 0.00820934i | − | 0.000404937i | ||||||
\(412\) | 2.68143 | + | 19.4895i | 0.132104 | + | 0.960181i | ||||
\(413\) | 11.6987i | 0.575653i | ||||||||
\(414\) | −0.685996 | − | 10.0191i | −0.0337149 | − | 0.492411i | ||||
\(415\) | −34.6802 | −1.70238 | ||||||||
\(416\) | −0.197884 | − | 0.556204i | −0.00970205 | − | 0.0272701i | ||||
\(417\) | −14.5052 | −0.710323 | ||||||||
\(418\) | 1.88037 | + | 27.4631i | 0.0919718 | + | 1.34326i | ||||
\(419\) | − | 19.9745i | − | 0.975821i | −0.872894 | − | 0.487910i | \(-0.837759\pi\) | ||
0.872894 | − | 0.487910i | \(-0.162241\pi\) | |||||||
\(420\) | −0.643094 | − | 4.67423i | −0.0313798 | − | 0.228079i | ||||
\(421\) | −5.63833 | −0.274795 | −0.137398 | − | 0.990516i | \(-0.543874\pi\) | ||||
−0.137398 | + | 0.990516i | \(0.543874\pi\) | |||||||
\(422\) | 0.149925 | + | 2.18968i | 0.00729822 | + | 0.106592i | ||||
\(423\) | 3.75302i | 0.182478i | ||||||||
\(424\) | −3.71063 | − | 17.8386i | −0.180204 | − | 0.866319i | ||||
\(425\) | −15.2813 | −0.741252 | ||||||||
\(426\) | −0.649868 | − | 9.49143i | −0.0314862 | − | 0.459861i | ||||
\(427\) | 7.07761i | 0.342510i | ||||||||
\(428\) | 0.767691 | + | 5.57985i | 0.0371077 | + | 0.269712i | ||||
\(429\) | − | 0.361460i | − | 0.0174514i | ||||||
\(430\) | −3.10858 | − | 45.4013i | −0.149909 | − | 2.18944i | ||||
\(431\) | 11.6002i | 0.558762i | 0.960180 | + | 0.279381i | \(0.0901293\pi\) | ||||
−0.960180 | + | 0.279381i | \(0.909871\pi\) | |||||||
\(432\) | −3.85138 | + | 1.08021i | −0.185300 | + | 0.0519719i | ||||
\(433\) | − | 6.11179i | − | 0.293714i | −0.989158 | − | 0.146857i | \(-0.953084\pi\) | ||
0.989158 | − | 0.146857i | \(-0.0469157\pi\) | |||||||
\(434\) | 2.81945 | − | 0.193045i | 0.135338 | − | 0.00926645i | ||||
\(435\) | 2.11888i | 0.101592i | ||||||||
\(436\) | 3.27708 | + | 23.8190i | 0.156944 | + | 1.14072i | ||||
\(437\) | 39.9078 | 1.90905 | ||||||||
\(438\) | 20.7243 | − | 1.41897i | 0.990247 | − | 0.0678011i | ||||
\(439\) | − | 16.3473i | − | 0.780215i | −0.920769 | − | 0.390108i | \(-0.872438\pi\) | ||
0.920769 | − | 0.390108i | \(-0.127562\pi\) | |||||||
\(440\) | −5.66576 | − | 27.2378i | −0.270105 | − | 1.29851i | ||||
\(441\) | −6.30993 | −0.300473 | ||||||||
\(442\) | −0.0502634 | − | 0.734105i | −0.00239078 | − | 0.0349178i | ||||
\(443\) | −17.8111 | −0.846232 | −0.423116 | − | 0.906076i | \(-0.639064\pi\) | ||||
−0.423116 | + | 0.906076i | \(0.639064\pi\) | |||||||
\(444\) | −0.721661 | + | 0.0992881i | −0.0342485 | + | 0.00471201i | ||||
\(445\) | 0.522320i | 0.0247603i | ||||||||
\(446\) | 2.14412 | + | 31.3152i | 0.101527 | + | 1.48282i | ||||
\(447\) | 17.3042 | 0.818463 | ||||||||
\(448\) | 6.09441 | − | 2.65008i | 0.287934 | − | 0.125204i | ||||
\(449\) | 20.4428 | 0.964753 | 0.482377 | − | 0.875964i | \(-0.339774\pi\) | ||||
0.482377 | + | 0.875964i | \(0.339774\pi\) | |||||||
\(450\) | 4.32454 | − | 0.296097i | 0.203861 | − | 0.0139581i | ||||
\(451\) | − | 33.7053i | − | 1.58712i | ||||||
\(452\) | −0.100812 | − | 0.732738i | −0.00474180 | − | 0.0344651i | ||||
\(453\) | 1.50526i | 0.0707231i | ||||||||
\(454\) | −0.00697474 | − | 0.101867i | −0.000327341 | − | 0.00478087i | ||||
\(455\) | −0.246202 | −0.0115421 | ||||||||
\(456\) | −3.23715 | − | 15.5624i | −0.151593 | − | 0.728775i | ||||
\(457\) | −16.9087 | −0.790953 | −0.395477 | − | 0.918476i | \(-0.629421\pi\) | ||||
−0.395477 | + | 0.918476i | \(0.629421\pi\) | |||||||
\(458\) | −1.31606 | − | 19.2212i | −0.0614953 | − | 0.898150i | ||||
\(459\) | −4.98563 | −0.232709 | ||||||||
\(460\) | −39.9568 | + | 5.49737i | −1.86300 | + | 0.256316i | ||||
\(461\) | −18.0955 | −0.842792 | −0.421396 | − | 0.906877i | \(-0.638460\pi\) | ||||
−0.421396 | + | 0.906877i | \(0.638460\pi\) | |||||||
\(462\) | 4.05946 | − | 0.277947i | 0.188863 | − | 0.0129313i | ||||
\(463\) | 18.3474 | 0.852674 | 0.426337 | − | 0.904564i | \(-0.359804\pi\) | ||||
0.426337 | + | 0.904564i | \(0.359804\pi\) | |||||||
\(464\) | −2.87355 | + | 0.805957i | −0.133401 | + | 0.0374156i | ||||
\(465\) | 6.83159i | 0.316807i | ||||||||
\(466\) | −0.556962 | − | 8.13452i | −0.0258008 | − | 0.376825i | ||||
\(467\) | − | 41.0112i | − | 1.89777i | −0.315619 | − | 0.948886i | \(-0.602212\pi\) | ||
0.315619 | − | 0.948886i | \(-0.397788\pi\) | |||||||
\(468\) | 0.0284486 | + | 0.206775i | 0.00131504 | + | 0.00955816i | ||||
\(469\) | −3.19049 | + | 6.00465i | −0.147323 | + | 0.277269i | ||||
\(470\) | 15.0378 | − | 1.02962i | 0.693642 | − | 0.0474929i | ||||
\(471\) | 18.4737 | 0.851223 | ||||||||
\(472\) | −8.11188 | − | 38.9973i | −0.373379 | − | 1.79500i | ||||
\(473\) | 39.2451 | 1.80449 | ||||||||
\(474\) | −4.09026 | + | 0.280056i | −0.187872 | + | 0.0128634i | ||||
\(475\) | 17.2254i | 0.790357i | ||||||||
\(476\) | 8.20589 | − | 1.12899i | 0.376116 | − | 0.0517471i | ||||
\(477\) | 6.44190i | 0.294954i | ||||||||
\(478\) | 16.1367 | − | 1.10486i | 0.738077 | − | 0.0505353i | ||||
\(479\) | − | 23.6762i | − | 1.08179i | −0.841089 | − | 0.540897i | \(-0.818085\pi\) | ||
0.841089 | − | 0.540897i | \(-0.181915\pi\) | |||||||
\(480\) | 5.38487 | + | 15.1356i | 0.245785 | + | 0.690841i | ||||
\(481\) | 0.0380114i | 0.00173317i | ||||||||
\(482\) | 9.82492 | − | 0.672701i | 0.447513 | − | 0.0306407i | ||||
\(483\) | − | 5.89898i | − | 0.268413i | ||||||
\(484\) | 1.97370 | − | 0.271547i | 0.0897135 | − | 0.0123430i | ||||
\(485\) | 33.5755 | 1.52458 | ||||||||
\(486\) | 1.41091 | − | 0.0966035i | 0.0640002 | − | 0.00438202i | ||||
\(487\) | 32.0323 | 1.45152 | 0.725762 | − | 0.687946i | \(-0.241487\pi\) | ||||
0.725762 | + | 0.687946i | \(0.241487\pi\) | |||||||
\(488\) | −4.90764 | − | 23.5931i | −0.222158 | − | 1.06801i | ||||
\(489\) | 5.89228i | 0.266458i | ||||||||
\(490\) | 1.73110 | + | 25.2829i | 0.0782029 | + | 1.14217i | ||||
\(491\) | 11.5070i | 0.519303i | 0.965702 | + | 0.259652i | \(0.0836077\pi\) | ||||
−0.965702 | + | 0.259652i | \(0.916392\pi\) | |||||||
\(492\) | 2.65277 | + | 19.2812i | 0.119596 | + | 0.869265i | ||||
\(493\) | −3.71981 | −0.167532 | ||||||||
\(494\) | −0.827499 | + | 0.0566580i | −0.0372310 | + | 0.00254916i | ||||
\(495\) | 9.83615i | 0.442102i | ||||||||
\(496\) | −9.26476 | + | 2.59853i | −0.416000 | + | 0.116677i | ||||
\(497\) | − | 5.58831i | − | 0.250670i | ||||||
\(498\) | 1.17969 | + | 17.2296i | 0.0528634 | + | 0.772079i | ||||
\(499\) | 14.7809 | 0.661682 | 0.330841 | − | 0.943686i | \(-0.392668\pi\) | ||||
0.330841 | + | 0.943686i | \(0.392668\pi\) | |||||||
\(500\) | 1.49793 | + | 10.8875i | 0.0669894 | + | 0.486902i | ||||
\(501\) | 16.4590i | 0.735334i | ||||||||
\(502\) | −20.7530 | + | 1.42094i | −0.926253 | + | 0.0634195i | ||||
\(503\) | 37.0722 | 1.65297 | 0.826485 | − | 0.562959i | \(-0.190337\pi\) | ||||
0.826485 | + | 0.562959i | \(0.190337\pi\) | |||||||
\(504\) | −2.30036 | + | 0.478500i | −0.102466 | + | 0.0213141i | ||||
\(505\) | 19.7476 | 0.878759 | ||||||||
\(506\) | −2.37598 | − | 34.7016i | −0.105625 | − | 1.54267i | ||||
\(507\) | −12.9891 | −0.576867 | ||||||||
\(508\) | −0.856998 | − | 6.22896i | −0.0380231 | − | 0.276366i | ||||
\(509\) | 41.4570 | 1.83755 | 0.918774 | − | 0.394783i | \(-0.129180\pi\) | ||||
0.918774 | + | 0.394783i | \(0.129180\pi\) | |||||||
\(510\) | 1.36778 | + | 19.9767i | 0.0605664 | + | 0.884582i | ||||
\(511\) | 12.2019 | 0.539782 | ||||||||
\(512\) | −18.4781 | + | 13.0599i | −0.816624 | + | 0.577171i | ||||
\(513\) | 5.61991i | 0.248125i | ||||||||
\(514\) | 13.8478 | − | 0.948143i | 0.610800 | − | 0.0418208i | ||||
\(515\) | −27.9349 | −1.23096 | ||||||||
\(516\) | −22.4503 | + | 3.08878i | −0.988321 | + | 0.135976i | ||||
\(517\) | 12.9987i | 0.571684i | ||||||||
\(518\) | −0.426897 | + | 0.0292291i | −0.0187568 | + | 0.00128425i | ||||
\(519\) | 20.5170 | 0.900596 | ||||||||
\(520\) | 0.820711 | − | 0.170717i | 0.0359905 | − | 0.00748644i | ||||
\(521\) | − | 22.0083i | − | 0.964199i | −0.876116 | − | 0.482100i | \(-0.839874\pi\) | ||
0.876116 | − | 0.482100i | \(-0.160126\pi\) | |||||||
\(522\) | 1.05269 | − | 0.0720766i | 0.0460750 | − | 0.00315471i | ||||
\(523\) | − | 12.1900i | − | 0.533032i | −0.963830 | − | 0.266516i | \(-0.914127\pi\) | ||
0.963830 | − | 0.266516i | \(-0.0858725\pi\) | |||||||
\(524\) | −1.69965 | − | 12.3536i | −0.0742493 | − | 0.539670i | ||||
\(525\) | 2.54618 | 0.111124 | ||||||||
\(526\) | −0.343464 | − | 5.01635i | −0.0149757 | − | 0.218723i | ||||
\(527\) | −11.9933 | −0.522435 | ||||||||
\(528\) | −13.3394 | + | 3.74137i | −0.580524 | + | 0.162822i | ||||
\(529\) | −27.4264 | −1.19245 | ||||||||
\(530\) | 25.8117 | − | 1.76730i | 1.12119 | − | 0.0767667i | ||||
\(531\) | 14.0828i | 0.611140i | ||||||||
\(532\) | −1.27262 | − | 9.24986i | −0.0551751 | − | 0.401032i | ||||
\(533\) | 1.01558 | 0.0439898 | ||||||||
\(534\) | 0.259497 | − | 0.0177674i | 0.0112295 | − | 0.000768873i | ||||
\(535\) | −7.99776 | −0.345773 | ||||||||
\(536\) | 6.47181 | − | 22.2287i | 0.279539 | − | 0.960134i | ||||
\(537\) | −1.77927 | −0.0767813 | ||||||||
\(538\) | 0.700534 | − | 0.0479648i | 0.0302022 | − | 0.00206791i | ||||
\(539\) | −21.8547 | −0.941349 | ||||||||
\(540\) | −0.774152 | − | 5.62681i | −0.0333142 | − | 0.242139i | ||||
\(541\) | − | 43.1784i | − | 1.85639i | −0.372100 | − | 0.928193i | \(-0.621362\pi\) | ||
0.372100 | − | 0.928193i | \(-0.378638\pi\) | |||||||
\(542\) | 0.154487 | − | 0.0105776i | 0.00663578 | − | 0.000454345i | ||||
\(543\) | −6.31217 | −0.270881 | ||||||||
\(544\) | −26.5714 | + | 9.45346i | −1.13924 | + | 0.405314i | ||||
\(545\) | −34.1404 | −1.46241 | ||||||||
\(546\) | 0.00837490 | + | 0.122317i | 0.000358413 | + | 0.00523468i | ||||
\(547\) | −13.8840 | −0.593637 | −0.296818 | − | 0.954934i | \(-0.595926\pi\) | ||||
−0.296818 | + | 0.954934i | \(0.595926\pi\) | |||||||
\(548\) | 0.00223785 | + | 0.0162655i | 9.55961e−5 | + | 0.000694826i | ||||
\(549\) | 8.51998i | 0.363624i | ||||||||
\(550\) | 14.9782 | − | 1.02554i | 0.638675 | − | 0.0437293i | ||||
\(551\) | 4.19306i | 0.178630i | ||||||||
\(552\) | 4.09037 | + | 19.6642i | 0.174098 | + | 0.836963i | ||||
\(553\) | −2.40824 | −0.102409 | ||||||||
\(554\) | −35.2269 | + | 2.41195i | −1.49665 | + | 0.102474i | ||||
\(555\) | − | 1.03438i | − | 0.0439069i | ||||||
\(556\) | 28.7397 | − | 3.95408i | 1.21883 | − | 0.167690i | ||||
\(557\) | 16.7278 | 0.708779 | 0.354390 | − | 0.935098i | \(-0.384689\pi\) | ||||
0.354390 | + | 0.935098i | \(0.384689\pi\) | |||||||
\(558\) | 3.39404 | − | 0.232386i | 0.143681 | − | 0.00983769i | ||||
\(559\) | 1.18251i | 0.0500147i | ||||||||
\(560\) | 2.54837 | + | 9.08591i | 0.107688 | + | 0.383950i | ||||
\(561\) | −17.2679 | −0.729053 | ||||||||
\(562\) | 1.12729 | + | 16.4643i | 0.0475520 | + | 0.694506i | ||||
\(563\) | −30.4645 | −1.28393 | −0.641963 | − | 0.766735i | \(-0.721880\pi\) | ||||
−0.641963 | + | 0.766735i | \(0.721880\pi\) | |||||||
\(564\) | −1.02306 | − | 7.43599i | −0.0430788 | − | 0.313112i | ||||
\(565\) | 1.05026 | 0.0441846 | ||||||||
\(566\) | −0.427214 | − | 6.23954i | −0.0179572 | − | 0.262267i | ||||
\(567\) | 0.830707 | 0.0348864 | ||||||||
\(568\) | 3.87495 | + | 18.6286i | 0.162589 | + | 0.781637i | ||||
\(569\) | −25.0671 | −1.05087 | −0.525434 | − | 0.850835i | \(-0.676097\pi\) | ||||
−0.525434 | + | 0.850835i | \(0.676097\pi\) | |||||||
\(570\) | 22.5181 | − | 1.54179i | 0.943181 | − | 0.0645786i | ||||
\(571\) | 20.0696i | 0.839888i | 0.907550 | + | 0.419944i | \(0.137950\pi\) | ||||
−0.907550 | + | 0.419944i | \(0.862050\pi\) | |||||||
\(572\) | 0.0985331 | + | 0.716173i | 0.00411988 | + | 0.0299447i | ||||
\(573\) | 6.88525 | 0.287635 | ||||||||
\(574\) | 0.780940 | + | 11.4058i | 0.0325958 | + | 0.476067i | ||||
\(575\) | − | 21.7656i | − | 0.907686i | ||||||
\(576\) | 7.33641 | − | 3.19015i | 0.305684 | − | 0.132923i | ||||
\(577\) | − | 29.8943i | − | 1.24452i | −0.782812 | − | 0.622258i | \(-0.786215\pi\) | ||
0.782812 | − | 0.622258i | \(-0.213785\pi\) | |||||||
\(578\) | −11.0848 | + | 0.758962i | −0.461065 | + | 0.0315686i | ||||
\(579\) | −4.52451 | −0.188032 | ||||||||
\(580\) | −0.577601 | − | 4.19821i | −0.0239836 | − | 0.174321i | ||||
\(581\) | 10.1444i | 0.420859i | ||||||||
\(582\) | −1.14212 | − | 16.6808i | −0.0473423 | − | 0.691442i | ||||
\(583\) | 22.3118i | 0.924061i | ||||||||
\(584\) | −40.6750 | + | 8.46086i | −1.68314 | + | 0.350113i | ||||
\(585\) | −0.296376 | −0.0122536 | ||||||||
\(586\) | −28.6639 | + | 1.96259i | −1.18409 | + | 0.0810737i | ||||
\(587\) | 25.6050 | 1.05683 | 0.528416 | − | 0.848986i | \(-0.322786\pi\) | ||||
0.528416 | + | 0.848986i | \(0.322786\pi\) | |||||||
\(588\) | 12.5021 | − | 1.72007i | 0.515577 | − | 0.0709345i | ||||
\(589\) | 13.5191i | 0.557043i | ||||||||
\(590\) | 56.4276 | − | 3.86353i | 2.32309 | − | 0.159059i | ||||
\(591\) | 18.2568i | 0.750985i | ||||||||
\(592\) | 1.40279 | − | 0.393446i | 0.0576542 | − | 0.0161705i | ||||
\(593\) | 6.90656i | 0.283619i | 0.989894 | + | 0.141809i | \(0.0452920\pi\) | ||||
−0.989894 | + | 0.141809i | \(0.954708\pi\) | |||||||
\(594\) | 4.88675 | − | 0.334590i | 0.200506 | − | 0.0137284i | ||||
\(595\) | 11.7617i | 0.482185i | ||||||||
\(596\) | −34.2855 | + | 4.71710i | −1.40439 | + | 0.193220i | ||||
\(597\) | 21.1744i | 0.866612i | ||||||||
\(598\) | 1.04560 | − | 0.0715914i | 0.0427579 | − | 0.00292759i | ||||
\(599\) | 29.8357 | 1.21905 | 0.609527 | − | 0.792766i | \(-0.291360\pi\) | ||||
0.609527 | + | 0.792766i | \(0.291360\pi\) | |||||||
\(600\) | −8.48765 | + | 1.76553i | −0.346507 | + | 0.0720773i | ||||
\(601\) | 13.3621 | 0.545050 | 0.272525 | − | 0.962149i | \(-0.412141\pi\) | ||||
0.272525 | + | 0.962149i | \(0.412141\pi\) | |||||||
\(602\) | −13.2804 | + | 0.909296i | −0.541270 | + | 0.0370602i | ||||
\(603\) | −3.84069 | + | 7.22836i | −0.156405 | + | 0.294361i | ||||
\(604\) | −0.410329 | − | 2.98242i | −0.0166961 | − | 0.121353i | ||||
\(605\) | 2.82896i | 0.115013i | ||||||||
\(606\) | −0.671744 | − | 9.81094i | −0.0272877 | − | 0.398542i | ||||
\(607\) | − | 24.4502i | − | 0.992404i | −0.868207 | − | 0.496202i | \(-0.834727\pi\) | ||
0.868207 | − | 0.496202i | \(-0.165273\pi\) | |||||||
\(608\) | 10.6561 | + | 29.9519i | 0.432164 | + | 1.21471i | ||||
\(609\) | 0.619797 | 0.0251155 | ||||||||
\(610\) | 34.1383 | − | 2.33741i | 1.38222 | − | 0.0946391i | ||||
\(611\) | −0.391670 | −0.0158453 | ||||||||
\(612\) | 9.87820 | − | 1.35907i | 0.399302 | − | 0.0549371i | ||||
\(613\) | −20.8511 | −0.842168 | −0.421084 | − | 0.907022i | \(-0.638350\pi\) | ||||
−0.421084 | + | 0.907022i | \(0.638350\pi\) | |||||||
\(614\) | −0.622260 | − | 9.08821i | −0.0251124 | − | 0.366770i | ||||
\(615\) | −27.6364 | −1.11441 | ||||||||
\(616\) | −7.96738 | + | 1.65731i | −0.321015 | + | 0.0667747i | ||||
\(617\) | −28.9812 | −1.16674 | −0.583369 | − | 0.812207i | \(-0.698266\pi\) | ||||
−0.583369 | + | 0.812207i | \(0.698266\pi\) | |||||||
\(618\) | 0.950247 | + | 13.8785i | 0.0382245 | + | 0.558276i | ||||
\(619\) | 13.8140i | 0.555233i | 0.960692 | + | 0.277616i | \(0.0895444\pi\) | ||||
−0.960692 | + | 0.277616i | \(0.910456\pi\) | |||||||
\(620\) | −1.86227 | − | 13.5357i | −0.0747908 | − | 0.543605i | ||||
\(621\) | − | 7.10115i | − | 0.284960i | ||||||
\(622\) | −18.1202 | + | 1.24067i | −0.726555 | + | 0.0497464i | ||||
\(623\) | 0.152785 | 0.00612120 | ||||||||
\(624\) | −0.112733 | − | 0.401935i | −0.00451291 | − | 0.0160903i | ||||
\(625\) | −30.9307 | −1.23723 | ||||||||
\(626\) | −0.892237 | − | 13.0313i | −0.0356609 | − | 0.520834i | ||||
\(627\) | 19.4648i | 0.777349i | ||||||||
\(628\) | −36.6026 | + | 5.03589i | −1.46060 | + | 0.200954i | ||||
\(629\) | 1.81591 | 0.0724052 | ||||||||
\(630\) | −0.227900 | − | 3.32852i | −0.00907977 | − | 0.132612i | ||||
\(631\) | −1.24936 | −0.0497364 | −0.0248682 | − | 0.999691i | \(-0.507917\pi\) | ||||
−0.0248682 | + | 0.999691i | \(0.507917\pi\) | |||||||
\(632\) | 8.02784 | − | 1.66988i | 0.319330 | − | 0.0664243i | ||||
\(633\) | 1.55196i | 0.0616848i | ||||||||
\(634\) | 24.5139 | − | 1.67844i | 0.973569 | − | 0.0666592i | ||||
\(635\) | 8.92816 | 0.354303 | ||||||||
\(636\) | −1.75605 | − | 12.7636i | −0.0696318 | − | 0.506108i | ||||
\(637\) | − | 0.658511i | − | 0.0260912i | ||||||
\(638\) | 3.64604 | − | 0.249641i | 0.144348 | − | 0.00988337i | ||||
\(639\) | − | 6.72717i | − | 0.266123i | ||||||
\(640\) | −14.7952 | − | 28.5207i | −0.584830 | − | 1.12738i | ||||
\(641\) | − | 13.3464i | − | 0.527150i | −0.964639 | − | 0.263575i | \(-0.915098\pi\) | ||
0.964639 | − | 0.263575i | \(-0.0849017\pi\) | |||||||
\(642\) | 0.272055 | + | 3.97341i | 0.0107372 | + | 0.156818i | ||||
\(643\) | − | 23.2282i | − | 0.916029i | −0.888945 | − | 0.458015i | \(-0.848561\pi\) | ||
0.888945 | − | 0.458015i | \(-0.151439\pi\) | |||||||
\(644\) | 1.60805 | + | 11.6879i | 0.0633660 | + | 0.460566i | ||||
\(645\) | − | 32.1787i | − | 1.26704i | ||||||
\(646\) | 2.70671 | + | 39.5319i | 0.106494 | + | 1.55536i | ||||
\(647\) | −23.7784 | −0.934826 | −0.467413 | − | 0.884039i | \(-0.654814\pi\) | ||||
−0.467413 | + | 0.884039i | \(0.654814\pi\) | |||||||
\(648\) | −2.76915 | + | 0.576015i | −0.108783 | + | 0.0226280i | ||||
\(649\) | 48.7763i | 1.91464i | ||||||||
\(650\) | 0.0309010 | + | 0.451314i | 0.00121204 | + | 0.0177020i | ||||
\(651\) | 1.99832 | 0.0783204 | ||||||||
\(652\) | −1.60622 | − | 11.6746i | −0.0629045 | − | 0.457212i | ||||
\(653\) | 43.6723i | 1.70903i | 0.519428 | + | 0.854514i | \(0.326145\pi\) | ||||
−0.519428 | + | 0.854514i | \(0.673855\pi\) | |||||||
\(654\) | 1.16133 | + | 16.9615i | 0.0454118 | + | 0.663247i | ||||
\(655\) | 17.7068 | 0.691862 | ||||||||
\(656\) | −10.5120 | − | 37.4795i | −0.410426 | − | 1.46333i | ||||
\(657\) | 14.6886 | 0.573058 | ||||||||
\(658\) | −0.301177 | − | 4.39874i | −0.0117411 | − | 0.171481i | ||||
\(659\) | − | 39.4976i | − | 1.53861i | −0.638883 | − | 0.769304i | \(-0.720603\pi\) | ||
0.638883 | − | 0.769304i | \(-0.279397\pi\) | |||||||
\(660\) | −2.68131 | − | 19.4887i | −0.104370 | − | 0.758597i | ||||
\(661\) | − | 24.8305i | − | 0.965794i | −0.875677 | − | 0.482897i | \(-0.839585\pi\) | ||
0.875677 | − | 0.482897i | \(-0.160415\pi\) | |||||||
\(662\) | −37.2993 | + | 2.55385i | −1.44968 | + | 0.0992580i | ||||
\(663\) | − | 0.520306i | − | 0.0202070i | ||||||
\(664\) | −7.03413 | − | 33.8161i | −0.272977 | − | 1.31232i | ||||
\(665\) | 13.2581 | 0.514127 | ||||||||
\(666\) | −0.513895 | + | 0.0351858i | −0.0199130 | + | 0.00136342i | ||||
\(667\) | − | 5.29823i | − | 0.205148i | ||||||
\(668\) | −4.48668 | − | 32.6108i | −0.173595 | − | 1.26175i | ||||
\(669\) | 22.1951i | 0.858111i | ||||||||
\(670\) | 30.0166 | + | 13.4060i | 1.15964 | + | 0.517919i | ||||
\(671\) | 29.5093i | 1.13920i | ||||||||
\(672\) | 4.42734 | − | 1.57514i | 0.170788 | − | 0.0607623i | ||||
\(673\) | 44.6172i | 1.71987i | 0.510408 | + | 0.859933i | \(0.329495\pi\) | ||||
−0.510408 | + | 0.859933i | \(0.670505\pi\) | |||||||
\(674\) | −2.64416 | − | 38.6184i | −0.101849 | − | 1.48752i | ||||
\(675\) | 3.06507 | 0.117975 | ||||||||
\(676\) | 25.7358 | − | 3.54080i | 0.989838 | − | 0.136185i | ||||
\(677\) | − | 24.3623i | − | 0.936321i | −0.883643 | − | 0.468161i | \(-0.844917\pi\) | ||
0.883643 | − | 0.468161i | \(-0.155083\pi\) | |||||||
\(678\) | −0.0357259 | − | 0.521783i | −0.00137205 | − | 0.0200390i | ||||
\(679\) | − | 9.82124i | − | 0.376904i | ||||||
\(680\) | −8.15563 | − | 39.2076i | −0.312754 | − | 1.50354i | ||||
\(681\) | − | 0.0721997i | − | 0.00276670i | ||||||
\(682\) | 11.7554 | − | 0.804880i | 0.450138 | − | 0.0308204i | ||||
\(683\) | −46.0145 | −1.76069 | −0.880347 | − | 0.474330i | \(-0.842690\pi\) | ||||
−0.880347 | + | 0.474330i | \(0.842690\pi\) | |||||||
\(684\) | −1.53197 | − | 11.1349i | −0.0585765 | − | 0.425754i | ||||
\(685\) | −0.0233138 | −0.000890773 | ||||||||
\(686\) | 15.5999 | − | 1.06811i | 0.595609 | − | 0.0407807i | ||||
\(687\) | − | 13.6233i | − | 0.519761i | ||||||
\(688\) | 43.6396 | − | 12.2398i | 1.66375 | − | 0.466639i | ||||
\(689\) | −0.672284 | −0.0256120 | ||||||||
\(690\) | −28.4533 | + | 1.94817i | −1.08320 | + | 0.0741654i | ||||
\(691\) | 36.5394i | 1.39002i | 0.718999 | + | 0.695011i | \(0.244601\pi\) | ||||
−0.718999 | + | 0.695011i | \(0.755399\pi\) | |||||||
\(692\) | −40.6510 | + | 5.59288i | −1.54532 | + | 0.212610i | ||||
\(693\) | 2.87719 | 0.109295 | ||||||||
\(694\) | 42.0971 | − | 2.88234i | 1.59799 | − | 0.109412i | ||||
\(695\) | 41.1934i | 1.56256i | ||||||||
\(696\) | −2.06609 | + | 0.429769i | −0.0783148 | + | 0.0162904i | ||||
\(697\) | − | 48.5173i | − | 1.83772i | ||||||
\(698\) | −42.8893 | + | 2.93658i | −1.62338 | + | 0.111151i | ||||
\(699\) | − | 5.76544i | − | 0.218069i | ||||||
\(700\) | −5.04483 | + | 0.694082i | −0.190677 | + | 0.0262338i | ||||
\(701\) | − | 30.1813i | − | 1.13993i | −0.821669 | − | 0.569965i | \(-0.806957\pi\) | ||
0.821669 | − | 0.569965i | \(-0.193043\pi\) | |||||||
\(702\) | 0.0100817 | + | 0.147244i | 0.000380508 | + | 0.00555738i | ||||
\(703\) | − | 2.04694i | − | 0.0772017i | ||||||
\(704\) | 25.4100 | − | 11.0492i | 0.957675 | − | 0.416433i | ||||
\(705\) | 10.6582 | 0.401412 | ||||||||
\(706\) | 3.16769 | + | 46.2646i | 0.119218 | + | 1.74119i | ||||
\(707\) | − | 5.77643i | − | 0.217245i | ||||||
\(708\) | −3.83893 | − | 27.9027i | −0.144276 | − | 1.04865i | ||||
\(709\) | 15.5201 | 0.582868 | 0.291434 | − | 0.956591i | \(-0.405868\pi\) | ||||
0.291434 | + | 0.956591i | \(0.405868\pi\) | |||||||
\(710\) | −26.9548 | + | 1.84556i | −1.01160 | + | 0.0692628i | ||||
\(711\) | −2.89902 | −0.108722 | ||||||||
\(712\) | −0.509306 | + | 0.105941i | −0.0190871 | + | 0.00397032i | ||||
\(713\) | − | 17.0823i | − | 0.639737i | ||||||
\(714\) | 5.84342 | − | 0.400093i | 0.218684 | − | 0.0149731i | ||||
\(715\) | −1.02651 | −0.0383894 | ||||||||
\(716\) | 3.52534 | − | 0.485026i | 0.131748 | − | 0.0181263i | ||||
\(717\) | 11.4371 | 0.427127 | ||||||||
\(718\) | 1.56393 | + | 22.8415i | 0.0583655 | + | 0.852438i | ||||
\(719\) | 31.4631i | 1.17338i | 0.809813 | + | 0.586688i | \(0.199569\pi\) | ||||
−0.809813 | + | 0.586688i | \(0.800431\pi\) | |||||||
\(720\) | 3.06771 | + | 10.9376i | 0.114327 | + | 0.407619i | ||||
\(721\) | 8.17131i | 0.304315i | ||||||||
\(722\) | 17.7540 | − | 1.21560i | 0.660735 | − | 0.0452398i | ||||
\(723\) | 6.96353 | 0.258976 | ||||||||
\(724\) | 12.5065 | − | 1.72068i | 0.464802 | − | 0.0639487i | ||||
\(725\) | 2.28687 | 0.0849324 | ||||||||
\(726\) | 1.40547 | − | 0.0962310i | 0.0521619 | − | 0.00357147i | ||||
\(727\) | −16.8006 | −0.623099 | −0.311550 | − | 0.950230i | \(-0.600848\pi\) | ||||
−0.311550 | + | 0.950230i | \(0.600848\pi\) | |||||||
\(728\) | −0.0499368 | − | 0.240068i | −0.00185078 | − | 0.00889751i | ||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | −4.02975 | − | 58.8552i | −0.149148 | − | 2.17833i | ||||
\(731\) | 56.4917 | 2.08942 | ||||||||
\(732\) | −2.32253 | − | 16.8809i | −0.0858431 | − | 0.623938i | ||||
\(733\) | − | 21.7283i | − | 0.802553i | −0.915957 | − | 0.401276i | \(-0.868567\pi\) | ||
0.915957 | − | 0.401276i | \(-0.131433\pi\) | |||||||
\(734\) | 23.9726 | − | 1.64138i | 0.884845 | − | 0.0605843i | ||||
\(735\) | 17.9196i | 0.660974i | ||||||||
\(736\) | −13.4648 | − | 37.8463i | −0.496319 | − | 1.39503i | ||||
\(737\) | −13.3024 | + | 25.0357i | −0.490000 | + | 0.922203i | ||||
\(738\) | 0.940090 | + | 13.7302i | 0.0346052 | + | 0.505415i | ||||
\(739\) | −5.10466 | −0.187778 | −0.0938889 | − | 0.995583i | \(-0.529930\pi\) | ||||
−0.0938889 | + | 0.995583i | \(0.529930\pi\) | |||||||
\(740\) | 0.281969 | + | 2.04945i | 0.0103654 | + | 0.0753393i | ||||
\(741\) | −0.586500 | −0.0215456 | ||||||||
\(742\) | −0.516957 | − | 7.55025i | −0.0189781 | − | 0.277178i | ||||
\(743\) | 24.2217i | 0.888608i | 0.895876 | + | 0.444304i | \(0.146549\pi\) | ||||
−0.895876 | + | 0.444304i | \(0.853451\pi\) | |||||||
\(744\) | −6.66138 | + | 1.38564i | −0.244218 | + | 0.0508001i | ||||
\(745\) | − | 49.1425i | − | 1.80044i | ||||||
\(746\) | −3.10594 | − | 45.3628i | −0.113717 | − | 1.66085i | ||||
\(747\) | 12.2117i | 0.446804i | ||||||||
\(748\) | 34.2136 | − | 4.70720i | 1.25097 | − | 0.172112i | ||||
\(749\) | 2.33944i | 0.0854813i | ||||||||
\(750\) | 0.530838 | + | 7.75297i | 0.0193834 | + | 0.283099i | ||||
\(751\) | − | 3.09498i | − | 0.112937i | −0.998404 | − | 0.0564687i | \(-0.982016\pi\) | ||
0.998404 | − | 0.0564687i | \(-0.0179841\pi\) | |||||||
\(752\) | 4.05407 | + | 14.4543i | 0.147837 | + | 0.527094i | ||||
\(753\) | −14.7090 | −0.536025 | ||||||||
\(754\) | 0.00752200 | + | 0.109860i | 0.000273935 | + | 0.00400087i | ||||
\(755\) | 4.27479 | 0.155575 | ||||||||
\(756\) | −1.64591 | + | 0.226449i | −0.0598612 | + | 0.00823587i | ||||
\(757\) | − | 43.8075i | − | 1.59221i | −0.605159 | − | 0.796105i | \(-0.706891\pi\) | ||
0.605159 | − | 0.796105i | \(-0.293109\pi\) | |||||||
\(758\) | 3.22875 | − | 0.221069i | 0.117273 | − | 0.00802959i | ||||
\(759\) | − | 24.5952i | − | 0.892748i | ||||||
\(760\) | −44.1957 | + | 9.19320i | −1.60315 | + | 0.333473i | ||||
\(761\) | 11.8141 | 0.428261 | 0.214130 | − | 0.976805i | \(-0.431308\pi\) | ||||
0.214130 | + | 0.976805i | \(0.431308\pi\) | |||||||
\(762\) | −0.303704 | − | 4.43565i | −0.0110020 | − | 0.160687i | ||||
\(763\) | 9.98649i | 0.361535i | ||||||||
\(764\) | −13.6420 | + | 1.87690i | −0.493550 | + | 0.0679040i | ||||
\(765\) | 14.1587i | 0.511909i | ||||||||
\(766\) | −30.0402 | + | 2.05682i | −1.08540 | + | 0.0743159i | ||||
\(767\) | −1.46969 | −0.0530676 | ||||||||
\(768\) | −13.6663 | + | 8.32064i | −0.493139 | + | 0.300245i | ||||
\(769\) | − | 8.14548i | − | 0.293734i | −0.989156 | − | 0.146867i | \(-0.953081\pi\) | ||
0.989156 | − | 0.146867i | \(-0.0469189\pi\) | |||||||
\(770\) | −0.789343 | − | 11.5285i | −0.0284459 | − | 0.415458i | ||||
\(771\) | 9.81479 | 0.353471 | ||||||||
\(772\) | 8.96457 | − | 1.23337i | 0.322642 | − | 0.0443900i | ||||
\(773\) | −9.99864 | −0.359626 | −0.179813 | − | 0.983701i | \(-0.557549\pi\) | ||||
−0.179813 | + | 0.983701i | \(0.557549\pi\) | |||||||
\(774\) | −15.9869 | + | 1.09460i | −0.574637 | + | 0.0393448i | ||||
\(775\) | 7.37324 | 0.264854 | ||||||||
\(776\) | 6.81007 | + | 32.7390i | 0.244467 | + | 1.17526i | ||||
\(777\) | −0.302568 | −0.0108546 | ||||||||
\(778\) | −31.2867 | + | 2.14217i | −1.12168 | + | 0.0768004i | ||||
\(779\) | −54.6898 | −1.95946 | ||||||||
\(780\) | 0.587221 | − | 0.0807914i | 0.0210259 | − | 0.00289280i | ||||
\(781\) | − | 23.2999i | − | 0.833734i | ||||||
\(782\) | −3.42012 | − | 49.9514i | −0.122303 | − | 1.78626i | ||||
\(783\) | 0.746108 | 0.0266637 | ||||||||
\(784\) | −24.3019 | + | 6.81608i | −0.867926 | + | 0.243431i | ||||
\(785\) | − | 52.4636i | − | 1.87251i | ||||||
\(786\) | −0.602322 | − | 8.79702i | −0.0214841 | − | 0.313779i | ||||
\(787\) | 12.1040 | 0.431462 | 0.215731 | − | 0.976453i | \(-0.430786\pi\) | ||||
0.215731 | + | 0.976453i | \(0.430786\pi\) | |||||||
\(788\) | −4.97676 | − | 36.1729i | −0.177290 | − | 1.28860i | ||||
\(789\) | − | 3.55540i | − | 0.126576i | ||||||
\(790\) | 0.795333 | + | 11.6160i | 0.0282967 | + | 0.413278i | ||||
\(791\) | − | 0.307212i | − | 0.0109232i | ||||||
\(792\) | −9.59109 | + | 1.99505i | −0.340804 | + | 0.0708911i | ||||
\(793\) | −0.889156 | −0.0315748 | ||||||||
\(794\) | 17.6366 | − | 1.20756i | 0.625901 | − | 0.0428547i | ||||
\(795\) | 18.2944 | 0.648835 | ||||||||
\(796\) | −5.77210 | − | 41.9536i | −0.204587 | − | 1.48701i | ||||
\(797\) | −16.7159 | −0.592107 | −0.296054 | − | 0.955171i | \(-0.595671\pi\) | ||||
−0.296054 | + | 0.955171i | \(0.595671\pi\) | |||||||
\(798\) | −0.450993 | − | 6.58683i | −0.0159650 | − | 0.233171i | ||||
\(799\) | 18.7111i | 0.661953i | ||||||||
\(800\) | 16.3356 | − | 5.81181i | 0.577551 | − | 0.205479i | ||||
\(801\) | 0.183921 | 0.00649854 | ||||||||
\(802\) | −2.35936 | − | 34.4589i | −0.0833119 | − | 1.21678i | ||||
\(803\) | 50.8747 | 1.79533 | ||||||||
\(804\) | 5.63925 | − | 15.3688i | 0.198881 | − | 0.542014i | ||||
\(805\) | −16.7526 | −0.590450 | ||||||||
\(806\) | 0.0242521 | + | 0.354206i | 0.000854244 | + | 0.0124764i | ||||
\(807\) | 0.496512 | 0.0174781 | ||||||||
\(808\) | 4.00539 | + | 19.2556i | 0.140909 | + | 0.677411i | ||||
\(809\) | 32.5273i | 1.14360i | 0.820394 | + | 0.571799i | \(0.193754\pi\) | ||||
−0.820394 | + | 0.571799i | \(0.806246\pi\) | |||||||
\(810\) | −0.274345 | − | 4.00685i | −0.00963950 | − | 0.140786i | ||||
\(811\) | 3.26678 | 0.114712 | 0.0573562 | − | 0.998354i | \(-0.481733\pi\) | ||||
0.0573562 | + | 0.998354i | \(0.481733\pi\) | |||||||
\(812\) | −1.22803 | + | 0.168955i | −0.0430953 | + | 0.00592917i | ||||
\(813\) | 0.109495 | 0.00384014 | ||||||||
\(814\) | −1.77990 | + | 0.121868i | −0.0623854 | + | 0.00427146i | ||||
\(815\) | 16.7335 | 0.586150 | ||||||||
\(816\) | −19.2015 | + | 5.38555i | −0.672189 | + | 0.188532i | ||||
\(817\) | − | 63.6786i | − | 2.22783i | ||||||
\(818\) | 3.17890 | + | 46.4283i | 0.111147 | + | 1.62333i | ||||
\(819\) | 0.0866936i | 0.00302932i | ||||||||
\(820\) | 54.7569 | − | 7.53361i | 1.91219 | − | 0.263085i | ||||
\(821\) | −11.0433 | −0.385414 | −0.192707 | − | 0.981256i | \(-0.561727\pi\) | ||||
−0.192707 | + | 0.981256i | \(0.561727\pi\) | |||||||
\(822\) | 0.000793051 | 0.0115826i | 2.76608e−5 | 0.000403991i | ||||||
\(823\) | 31.1030i | 1.08418i | 0.840319 | + | 0.542092i | \(0.182367\pi\) | ||||
−0.840319 | + | 0.542092i | \(0.817633\pi\) | |||||||
\(824\) | −5.66601 | − | 27.2390i | −0.197385 | − | 0.948914i | ||||
\(825\) | 10.6160 | 0.369602 | ||||||||
\(826\) | −1.13013 | − | 16.5057i | −0.0393223 | − | 0.574308i | ||||
\(827\) | 2.31265i | 0.0804187i | 0.999191 | + | 0.0402094i | \(0.0128025\pi\) | ||||
−0.999191 | + | 0.0402094i | \(0.987198\pi\) | |||||||
\(828\) | 1.93576 | + | 14.0698i | 0.0672722 | + | 0.488958i | ||||
\(829\) | −25.6166 | −0.889700 | −0.444850 | − | 0.895605i | \(-0.646743\pi\) | ||||
−0.444850 | + | 0.895605i | \(0.646743\pi\) | |||||||
\(830\) | 48.9306 | − | 3.35022i | 1.69841 | − | 0.116288i | ||||
\(831\) | −24.9675 | −0.866113 | ||||||||
\(832\) | 0.332927 | + | 0.765637i | 0.0115422 | + | 0.0265437i | ||||
\(833\) | −31.4589 | −1.08999 | ||||||||
\(834\) | 20.4655 | − | 1.40125i | 0.708664 | − | 0.0485214i | ||||
\(835\) | 46.7420 | 1.61757 | ||||||||
\(836\) | −5.30606 | − | 38.5663i | −0.183514 | − | 1.33384i | ||||
\(837\) | 2.40557 | 0.0831486 | ||||||||
\(838\) | 1.92961 | + | 28.1823i | 0.0666573 | + | 0.973541i | ||||
\(839\) | − | 3.81566i | − | 0.131731i | −0.997829 | − | 0.0658656i | \(-0.979019\pi\) | ||
0.997829 | − | 0.0658656i | \(-0.0209809\pi\) | |||||||
\(840\) | 1.35889 | + | 6.53280i | 0.0468863 | + | 0.225403i | ||||
\(841\) | −28.4433 | −0.980804 | ||||||||
\(842\) | 7.95518 | − | 0.544682i | 0.274153 | − | 0.0187710i | ||||
\(843\) | 11.6693i | 0.401912i | ||||||||
\(844\) | −0.423060 | − | 3.07495i | −0.0145623 | − | 0.105844i | ||||
\(845\) | 36.8879i | 1.26898i | ||||||||
\(846\) | −0.362555 | − | 5.29517i | −0.0124649 | − | 0.182052i | ||||
\(847\) | 0.827505 | 0.0284334 | ||||||||
\(848\) | 6.95863 | + | 24.8102i | 0.238960 | + | 0.851986i | ||||
\(849\) | − | 4.42235i | − | 0.151775i | ||||||
\(850\) | 21.5605 | − | 1.47623i | 0.739521 | − | 0.0506342i | ||||
\(851\) | 2.58645i | 0.0886624i | ||||||||
\(852\) | 1.83381 | + | 13.3288i | 0.0628253 | + | 0.456636i | ||||
\(853\) | 12.1166 | 0.414865 | 0.207432 | − | 0.978249i | \(-0.433489\pi\) | ||||
0.207432 | + | 0.978249i | \(0.433489\pi\) | |||||||
\(854\) | −0.683722 | − | 9.98588i | −0.0233965 | − | 0.341710i | ||||
\(855\) | 15.9600 | 0.545821 | ||||||||
\(856\) | −1.62218 | − | 7.79850i | −0.0554448 | − | 0.266547i | ||||
\(857\) | 30.0803i | 1.02752i | 0.857933 | + | 0.513762i | \(0.171749\pi\) | ||||
−0.857933 | + | 0.513762i | \(0.828251\pi\) | |||||||
\(858\) | 0.0349183 | + | 0.509987i | 0.00119209 | + | 0.0174107i | ||||
\(859\) | − | 6.19282i | − | 0.211296i | −0.994404 | − | 0.105648i | \(-0.966308\pi\) | ||
0.994404 | − | 0.105648i | \(-0.0336917\pi\) | |||||||
\(860\) | 8.77184 | + | 63.7568i | 0.299117 | + | 2.17409i | ||||
\(861\) | 8.08397i | 0.275501i | ||||||||
\(862\) | −1.12062 | − | 16.3669i | −0.0381685 | − | 0.557457i | ||||
\(863\) | 25.5906i | 0.871115i | 0.900161 | + | 0.435558i | \(0.143449\pi\) | ||||
−0.900161 | + | 0.435558i | \(0.856551\pi\) | |||||||
\(864\) | 5.32960 | − | 1.89614i | 0.181317 | − | 0.0645081i | ||||
\(865\) | − | 58.2663i | − | 1.98112i | ||||||
\(866\) | 0.590420 | + | 8.62318i | 0.0200633 | + | 0.293028i | ||||
\(867\) | −7.85646 | −0.266819 | ||||||||
\(868\) | −3.95935 | + | 0.544738i | −0.134389 | + | 0.0184896i | ||||
\(869\) | −10.0409 | −0.340614 | ||||||||
\(870\) | −0.204691 | − | 2.98955i | −0.00693967 | − | 0.101355i | ||||
\(871\) | −0.754360 | − | 0.400819i | −0.0255605 | − | 0.0135812i | ||||
\(872\) | −6.92466 | − | 33.2898i | −0.234499 | − | 1.12734i | ||||
\(873\) | − | 11.8227i | − | 0.400139i | ||||||
\(874\) | −56.3064 | + | 3.85523i | −1.90459 | + | 0.130405i | ||||
\(875\) | 4.56475i | 0.154317i | ||||||||
\(876\) | −29.1031 | + | 4.00408i | −0.983302 | + | 0.135285i | ||||
\(877\) | −21.3150 | −0.719756 | −0.359878 | − | 0.932999i | \(-0.617182\pi\) | ||||
−0.359878 | + | 0.932999i | \(0.617182\pi\) | |||||||
\(878\) | 1.57921 | + | 23.0646i | 0.0532957 | + | 0.778393i | ||||
\(879\) | −20.3159 | −0.685238 | ||||||||
\(880\) | 10.6252 | + | 37.8827i | 0.358174 | + | 1.27703i | ||||
\(881\) | −48.2487 | −1.62554 | −0.812770 | − | 0.582585i | \(-0.802041\pi\) | ||||
−0.812770 | + | 0.582585i | \(0.802041\pi\) | |||||||
\(882\) | 8.90274 | − | 0.609561i | 0.299771 | − | 0.0205250i | ||||
\(883\) | 19.3882 | 0.652463 | 0.326232 | − | 0.945290i | \(-0.394221\pi\) | ||||
0.326232 | + | 0.945290i | \(0.394221\pi\) | |||||||
\(884\) | 0.141834 | + | 1.03090i | 0.00477040 | + | 0.0346729i | ||||
\(885\) | 39.9937 | 1.34437 | ||||||||
\(886\) | 25.1299 | − | 1.72062i | 0.844255 | − | 0.0578052i | ||||
\(887\) | 18.6741i | 0.627016i | 0.949586 | + | 0.313508i | \(0.101504\pi\) | ||||
−0.949586 | + | 0.313508i | \(0.898496\pi\) | |||||||
\(888\) | 1.00861 | − | 0.209802i | 0.0338466 | − | 0.00704048i | ||||
\(889\) | − | 2.61159i | − | 0.0875901i | ||||||
\(890\) | −0.0504579 | − | 0.736946i | −0.00169135 | − | 0.0247025i | ||||
\(891\) | 3.46355 | 0.116033 | ||||||||
\(892\) | −6.05032 | − | 43.9759i | −0.202580 | − | 1.47242i | ||||
\(893\) | 21.0916 | 0.705804 | ||||||||
\(894\) | −24.4147 | + | 1.67165i | −0.816551 | + | 0.0559084i | ||||
\(895\) | 5.05297i | 0.168902i | ||||||||
\(896\) | −8.34266 | + | 4.32776i | −0.278709 | + | 0.144580i | ||||
\(897\) | 0.741085 | 0.0247441 | ||||||||
\(898\) | −28.8429 | + | 1.97484i | −0.962500 | + | 0.0659013i | ||||
\(899\) | 1.79481 | 0.0598604 | ||||||||
\(900\) | −6.07294 | + | 0.835531i | −0.202431 | + | 0.0278510i | ||||
\(901\) | 32.1169i | 1.06997i | ||||||||
\(902\) | 3.25605 | + | 47.5551i | 0.108414 | + | 1.58341i | ||||
\(903\) | −9.41267 | −0.313234 | ||||||||
\(904\) | 0.213022 | + | 1.02409i | 0.00708500 | + | 0.0340607i | ||||
\(905\) | 17.9260i | 0.595880i | ||||||||
\(906\) | −0.145413 | − | 2.12378i | −0.00483102 | − | 0.0705579i | ||||
\(907\) | − | 41.1599i | − | 1.36669i | −0.730095 | − | 0.683346i | \(-0.760524\pi\) | ||
0.730095 | − | 0.683346i | \(-0.239476\pi\) | |||||||
\(908\) | 0.0196815 | + | 0.143052i | 0.000653152 | + | 0.00474734i | ||||
\(909\) | − | 6.95362i | − | 0.230637i | ||||||
\(910\) | 0.347369 | − | 0.0237840i | 0.0115152 | − | 0.000788430i | ||||
\(911\) | 10.7056i | 0.354694i | 0.984148 | + | 0.177347i | \(0.0567514\pi\) | ||||
−0.984148 | + | 0.177347i | \(0.943249\pi\) | |||||||
\(912\) | 6.07071 | + | 21.6444i | 0.201021 | + | 0.716718i | ||||
\(913\) | 42.2959i | 1.39979i | ||||||||
\(914\) | 23.8566 | − | 1.63343i | 0.789106 | − | 0.0540292i | ||||
\(915\) | 24.1960 | 0.799894 | ||||||||
\(916\) | 3.71368 | + | 26.9923i | 0.122703 | + | 0.891851i | ||||
\(917\) | − | 5.17946i | − | 0.171041i | ||||||
\(918\) | 7.03427 | − | 0.481629i | 0.232166 | − | 0.0158961i | ||||
\(919\) | −21.1405 | −0.697361 | −0.348681 | − | 0.937242i | \(-0.613370\pi\) | ||||
−0.348681 | + | 0.937242i | \(0.613370\pi\) | |||||||
\(920\) | 55.8444 | − | 11.6163i | 1.84114 | − | 0.382977i | ||||
\(921\) | − | 6.44138i | − | 0.212251i | ||||||
\(922\) | 25.5312 | − | 1.74809i | 0.840824 | − | 0.0575703i | ||||
\(923\) | 0.702056 | 0.0231084 | ||||||||
\(924\) | −5.70068 | + | 0.784316i | −0.187539 | + | 0.0258021i | ||||
\(925\) | −1.11639 | −0.0367067 | ||||||||
\(926\) | −25.8865 | + | 1.77242i | −0.850683 | + | 0.0582453i | ||||
\(927\) | 9.83657i | 0.323075i | ||||||||
\(928\) | 3.97646 | − | 1.41473i | 0.130534 | − | 0.0464407i | ||||
\(929\) | − | 31.1774i | − | 1.02290i | −0.859314 | − | 0.511449i | \(-0.829109\pi\) | ||
0.859314 | − | 0.511449i | \(-0.170891\pi\) | |||||||
\(930\) | −0.659955 | − | 9.63876i | −0.0216408 | − | 0.316067i | ||||
\(931\) | 35.4612i | 1.16219i | ||||||||
\(932\) | 1.57165 | + | 11.4233i | 0.0514810 | + | 0.374182i | ||||
\(933\) | −12.8429 | −0.420459 | ||||||||
\(934\) | 3.96182 | + | 57.8631i | 0.129635 | + | 1.89334i | ||||
\(935\) | 49.0393i | 1.60376i | ||||||||
\(936\) | −0.0601136 | − | 0.288992i | −0.00196487 | − | 0.00944600i | ||||
\(937\) | − | 42.2289i | − | 1.37956i | −0.724019 | − | 0.689780i | \(-0.757707\pi\) | ||
0.724019 | − | 0.689780i | \(-0.242293\pi\) | |||||||
\(938\) | 3.92142 | − | 8.78023i | 0.128039 | − | 0.286685i | ||||
\(939\) | − | 9.23607i | − | 0.301408i | ||||||
\(940\) | −21.1175 | + | 2.90541i | −0.688777 | + | 0.0947639i | ||||
\(941\) | − | 26.4574i | − | 0.862487i | −0.902236 | − | 0.431243i | \(-0.858075\pi\) | ||
0.902236 | − | 0.431243i | \(-0.141925\pi\) | |||||||
\(942\) | −26.0647 | + | 1.78462i | −0.849235 | + | 0.0581462i | ||||
\(943\) | 69.1044 | 2.25035 | ||||||||
\(944\) | 15.2124 | + | 54.2381i | 0.495122 | + | 1.76530i | ||||
\(945\) | − | 2.35913i | − | 0.0767426i | ||||||
\(946\) | −55.3713 | + | 3.79121i | −1.80028 | + | 0.123263i | ||||
\(947\) | − | 15.0613i | − | 0.489427i | −0.969595 | − | 0.244713i | \(-0.921306\pi\) | ||
0.969595 | − | 0.244713i | \(-0.0786939\pi\) | |||||||
\(948\) | 5.74394 | − | 0.790267i | 0.186555 | − | 0.0256667i | ||||
\(949\) | 1.53292i | 0.0497608i | ||||||||
\(950\) | −1.66404 | − | 24.3035i | −0.0539884 | − | 0.788510i | ||||
\(951\) | 17.3745 | 0.563407 | ||||||||
\(952\) | −11.4687 | + | 2.38562i | −0.371703 | + | 0.0773184i | ||||
\(953\) | 38.3812 | 1.24329 | 0.621645 | − | 0.783299i | \(-0.286465\pi\) | ||||
0.621645 | + | 0.783299i | \(0.286465\pi\) | |||||||
\(954\) | −0.622310 | − | 9.08894i | −0.0201480 | − | 0.294265i | ||||
\(955\) | − | 19.5535i | − | 0.632735i | ||||||
\(956\) | −22.6607 | + | 3.11773i | −0.732901 | + | 0.100835i | ||||
\(957\) | 2.58418 | 0.0835346 | ||||||||
\(958\) | 2.28721 | + | 33.4050i | 0.0738963 | + | 1.07927i | ||||
\(959\) | 0.00681956i | 0.000220215i | ||||||||
\(960\) | −9.05972 | − | 20.8347i | −0.292401 | − | 0.672438i | ||||
\(961\) | −25.2132 | −0.813331 | ||||||||
\(962\) | −0.00367204 | − | 0.0536307i | −0.000118391 | − | 0.00172912i | ||||
\(963\) | 2.81620i | 0.0907509i | ||||||||
\(964\) | −13.7971 | + | 1.89824i | −0.444374 | + | 0.0611383i | ||||
\(965\) | 12.8492i | 0.413630i | ||||||||
\(966\) | 0.569862 | + | 8.32293i | 0.0183350 | + | 0.267786i | ||||
\(967\) | − | 9.64895i | − | 0.310289i | −0.987892 | − | 0.155145i | \(-0.950416\pi\) | ||
0.987892 | − | 0.155145i | \(-0.0495844\pi\) | |||||||
\(968\) | −2.75848 | + | 0.573794i | −0.0886608 | + | 0.0184424i | ||||
\(969\) | 28.0188i | 0.900092i | ||||||||
\(970\) | −47.3720 | + | 3.24351i | −1.52102 | + | 0.104143i | ||||
\(971\) | 42.3985i | 1.36063i | 0.732918 | + | 0.680317i | \(0.238158\pi\) | ||||
−0.732918 | + | 0.680317i | \(0.761842\pi\) | |||||||
\(972\) | −1.98134 | + | 0.272598i | −0.0635514 | + | 0.00874357i | ||||
\(973\) | 12.0496 | 0.386292 | ||||||||
\(974\) | −45.1947 | + | 3.09443i | −1.44813 | + | 0.0991521i | ||||
\(975\) | 0.319875i | 0.0102442i | ||||||||
\(976\) | 9.20341 | + | 32.8137i | 0.294594 | + | 1.05034i | ||||
\(977\) | 24.4353 | 0.781756 | 0.390878 | − | 0.920443i | \(-0.372171\pi\) | ||||
0.390878 | + | 0.920443i | \(0.372171\pi\) | |||||||
\(978\) | −0.569215 | − | 8.31348i | −0.0182015 | − | 0.265836i | ||||
\(979\) | 0.637020 | 0.0203592 | ||||||||
\(980\) | −4.88484 | − | 35.5047i | −0.156041 | − | 1.13416i | ||||
\(981\) | 12.0217i | 0.383822i | ||||||||
\(982\) | −1.11162 | − | 16.2353i | −0.0354731 | − | 0.518090i | ||||
\(983\) | 13.2797 | 0.423556 | 0.211778 | − | 0.977318i | \(-0.432075\pi\) | ||||
0.211778 | + | 0.977318i | \(0.432075\pi\) | |||||||
\(984\) | −5.60545 | − | 26.9478i | −0.178695 | − | 0.859065i | ||||
\(985\) | 51.8476 | 1.65200 | ||||||||
\(986\) | 5.24832 | − | 0.359347i | 0.167141 | − | 0.0114439i | ||||
\(987\) | − | 3.11766i | − | 0.0992362i | ||||||
\(988\) | 1.16205 | − | 0.159879i | 0.0369699 | − | 0.00508642i | ||||
\(989\) | 80.4625i | 2.55856i | ||||||||
\(990\) | −0.950206 | − | 13.8779i | −0.0301995 | − | 0.441069i | ||||
\(991\) | 33.8498 | 1.07528 | 0.537638 | − | 0.843176i | \(-0.319317\pi\) | ||||
0.537638 | + | 0.843176i | \(0.319317\pi\) | |||||||
\(992\) | 12.8207 | − | 4.56130i | 0.407058 | − | 0.144821i | ||||
\(993\) | −26.4364 | −0.838933 | ||||||||
\(994\) | 0.539850 | + | 7.88460i | 0.0171230 | + | 0.250084i | ||||
\(995\) | 60.1334 | 1.90636 | ||||||||
\(996\) | −3.32889 | − | 24.1955i | −0.105480 | − | 0.766664i | ||||
\(997\) | −43.8162 | −1.38767 | −0.693836 | − | 0.720133i | \(-0.744081\pi\) | ||||
−0.693836 | + | 0.720133i | \(0.744081\pi\) | |||||||
\(998\) | −20.8545 | + | 1.42788i | −0.660137 | + | 0.0451988i | ||||
\(999\) | −0.364230 | −0.0115237 |
(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.535.2 | yes | 34 | |
4.3 | odd | 2 | 804.2.e.b.535.34 | yes | 34 | ||
67.66 | odd | 2 | 804.2.e.b.535.33 | yes | 34 | ||
268.267 | even | 2 | inner | 804.2.e.a.535.1 | ✓ | 34 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
804.2.e.a.535.1 | ✓ | 34 | 268.267 | even | 2 | inner | |
804.2.e.a.535.2 | yes | 34 | 1.1 | even | 1 | trivial | |
804.2.e.b.535.33 | yes | 34 | 67.66 | odd | 2 | ||
804.2.e.b.535.34 | yes | 34 | 4.3 | odd | 2 |