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 | 535.15 | ||
Character | \(\chi\) | \(=\) | 804.535 |
Dual form | 804.2.e.a.535.16 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.271785 | − | 1.38785i | −0.192181 | − | 0.981360i | ||||
\(3\) | −1.00000 | −0.577350 | ||||||||
\(4\) | −1.85227 | + | 0.754394i | −0.926133 | + | 0.377197i | ||||
\(5\) | 0.299779i | 0.134065i | 0.997751 | + | 0.0670325i | \(0.0213531\pi\) | ||||
−0.997751 | + | 0.0670325i | \(0.978647\pi\) | |||||||
\(6\) | 0.271785 | + | 1.38785i | 0.110956 | + | 0.566588i | ||||
\(7\) | −1.88035 | −0.710704 | −0.355352 | − | 0.934732i | \(-0.615639\pi\) | ||||
−0.355352 | + | 0.934732i | \(0.615639\pi\) | |||||||
\(8\) | 1.55041 | + | 2.36564i | 0.548151 | + | 0.836379i | ||||
\(9\) | 1.00000 | 0.333333 | ||||||||
\(10\) | 0.416048 | − | 0.0814753i | 0.131566 | − | 0.0257647i | ||||
\(11\) | −2.47030 | −0.744822 | −0.372411 | − | 0.928068i | \(-0.621469\pi\) | ||||
−0.372411 | + | 0.928068i | \(0.621469\pi\) | |||||||
\(12\) | 1.85227 | − | 0.754394i | 0.534703 | − | 0.217775i | ||||
\(13\) | − | 1.99858i | − | 0.554307i | −0.960826 | − | 0.277153i | \(-0.910609\pi\) | ||
0.960826 | − | 0.277153i | \(-0.0893910\pi\) | |||||||
\(14\) | 0.511050 | + | 2.60964i | 0.136584 | + | 0.697457i | ||||
\(15\) | − | 0.299779i | − | 0.0774025i | ||||||
\(16\) | 2.86178 | − | 2.79468i | 0.715445 | − | 0.698669i | ||||
\(17\) | 0.452397 | 0.109722 | 0.0548612 | − | 0.998494i | \(-0.482528\pi\) | ||||
0.0548612 | + | 0.998494i | \(0.482528\pi\) | |||||||
\(18\) | −0.271785 | − | 1.38785i | −0.0640603 | − | 0.327120i | ||||
\(19\) | 5.21266i | 1.19587i | 0.801546 | + | 0.597933i | \(0.204011\pi\) | ||||
−0.801546 | + | 0.597933i | \(0.795989\pi\) | |||||||
\(20\) | −0.226151 | − | 0.555270i | −0.0505689 | − | 0.124162i | ||||
\(21\) | 1.88035 | 0.410325 | ||||||||
\(22\) | 0.671389 | + | 3.42841i | 0.143141 | + | 0.730939i | ||||
\(23\) | 0.807898i | 0.168458i | 0.996446 | + | 0.0842292i | \(0.0268428\pi\) | ||||
−0.996446 | + | 0.0842292i | \(0.973157\pi\) | |||||||
\(24\) | −1.55041 | − | 2.36564i | −0.316475 | − | 0.482884i | ||||
\(25\) | 4.91013 | 0.982027 | ||||||||
\(26\) | −2.77374 | + | 0.543184i | −0.543974 | + | 0.106527i | ||||
\(27\) | −1.00000 | −0.192450 | ||||||||
\(28\) | 3.48290 | − | 1.41852i | 0.658207 | − | 0.268076i | ||||
\(29\) | 9.00503 | 1.67219 | 0.836096 | − | 0.548584i | \(-0.184833\pi\) | ||||
0.836096 | + | 0.548584i | \(0.184833\pi\) | |||||||
\(30\) | −0.416048 | + | 0.0814753i | −0.0759597 | + | 0.0148753i | ||||
\(31\) | 8.22773 | 1.47774 | 0.738872 | − | 0.673846i | \(-0.235359\pi\) | ||||
0.738872 | + | 0.673846i | \(0.235359\pi\) | |||||||
\(32\) | −4.65639 | − | 3.21217i | −0.823141 | − | 0.567837i | ||||
\(33\) | 2.47030 | 0.430023 | ||||||||
\(34\) | −0.122955 | − | 0.627860i | −0.0210866 | − | 0.107677i | ||||
\(35\) | − | 0.563688i | − | 0.0952806i | ||||||
\(36\) | −1.85227 | + | 0.754394i | −0.308711 | + | 0.125732i | ||||
\(37\) | 1.31776 | 0.216638 | 0.108319 | − | 0.994116i | \(-0.465453\pi\) | ||||
0.108319 | + | 0.994116i | \(0.465453\pi\) | |||||||
\(38\) | 7.23440 | − | 1.41672i | 1.17357 | − | 0.229823i | ||||
\(39\) | 1.99858i | 0.320029i | ||||||||
\(40\) | −0.709168 | + | 0.464778i | −0.112129 | + | 0.0734879i | ||||
\(41\) | − | 6.67060i | − | 1.04177i | −0.853626 | − | 0.520887i | \(-0.825601\pi\) | ||
0.853626 | − | 0.520887i | \(-0.174399\pi\) | |||||||
\(42\) | −0.511050 | − | 2.60964i | −0.0788567 | − | 0.402677i | ||||
\(43\) | 4.44399 | 0.677702 | 0.338851 | − | 0.940840i | \(-0.389962\pi\) | ||||
0.338851 | + | 0.940840i | \(0.389962\pi\) | |||||||
\(44\) | 4.57565 | − | 1.86358i | 0.689805 | − | 0.280945i | ||||
\(45\) | 0.299779i | 0.0446883i | ||||||||
\(46\) | 1.12124 | − | 0.219575i | 0.165318 | − | 0.0323745i | ||||
\(47\) | − | 2.51300i | − | 0.366559i | −0.983061 | − | 0.183279i | \(-0.941329\pi\) | ||
0.983061 | − | 0.183279i | \(-0.0586713\pi\) | |||||||
\(48\) | −2.86178 | + | 2.79468i | −0.413062 | + | 0.403377i | ||||
\(49\) | −3.46429 | −0.494899 | ||||||||
\(50\) | −1.33450 | − | 6.81454i | −0.188727 | − | 0.963721i | ||||
\(51\) | −0.452397 | −0.0633483 | ||||||||
\(52\) | 1.50772 | + | 3.70191i | 0.209083 | + | 0.513362i | ||||
\(53\) | − | 0.990958i | − | 0.136118i | −0.997681 | − | 0.0680592i | \(-0.978319\pi\) | ||
0.997681 | − | 0.0680592i | \(-0.0216807\pi\) | |||||||
\(54\) | 0.271785 | + | 1.38785i | 0.0369852 | + | 0.188863i | ||||
\(55\) | − | 0.740542i | − | 0.0998547i | ||||||
\(56\) | −2.91530 | − | 4.44822i | −0.389573 | − | 0.594419i | ||||
\(57\) | − | 5.21266i | − | 0.690434i | ||||||
\(58\) | −2.44743 | − | 12.4976i | −0.321363 | − | 1.64102i | ||||
\(59\) | − | 7.56006i | − | 0.984236i | −0.870529 | − | 0.492118i | \(-0.836223\pi\) | ||
0.870529 | − | 0.492118i | \(-0.163777\pi\) | |||||||
\(60\) | 0.226151 | + | 0.555270i | 0.0291960 | + | 0.0716850i | ||||
\(61\) | 9.06097i | 1.16014i | 0.814567 | + | 0.580069i | \(0.196975\pi\) | ||||
−0.814567 | + | 0.580069i | \(0.803025\pi\) | |||||||
\(62\) | −2.23617 | − | 11.4189i | −0.283994 | − | 1.45020i | ||||
\(63\) | −1.88035 | −0.236901 | ||||||||
\(64\) | −3.19249 | + | 7.33540i | −0.399061 | + | 0.916924i | ||||
\(65\) | 0.599132 | 0.0743132 | ||||||||
\(66\) | −0.671389 | − | 3.42841i | −0.0826423 | − | 0.422008i | ||||
\(67\) | 2.90832 | + | 7.65125i | 0.355308 | + | 0.934749i | ||||
\(68\) | −0.837960 | + | 0.341286i | −0.101618 | + | 0.0413870i | ||||
\(69\) | − | 0.807898i | − | 0.0972595i | ||||||
\(70\) | −0.782315 | + | 0.153202i | −0.0935045 | + | 0.0183111i | ||||
\(71\) | − | 0.0862739i | − | 0.0102388i | −0.999987 | − | 0.00511941i | \(-0.998370\pi\) | ||
0.999987 | − | 0.00511941i | \(-0.00162957\pi\) | |||||||
\(72\) | 1.55041 | + | 2.36564i | 0.182717 | + | 0.278793i | ||||
\(73\) | 1.91010 | 0.223560 | 0.111780 | − | 0.993733i | \(-0.464345\pi\) | ||||
0.111780 | + | 0.993733i | \(0.464345\pi\) | |||||||
\(74\) | −0.358147 | − | 1.82885i | −0.0416337 | − | 0.212600i | ||||
\(75\) | −4.91013 | −0.566973 | ||||||||
\(76\) | −3.93240 | − | 9.65523i | −0.451077 | − | 1.10753i | ||||
\(77\) | 4.64502 | 0.529349 | ||||||||
\(78\) | 2.77374 | − | 0.543184i | 0.314064 | − | 0.0615035i | ||||
\(79\) | 8.30576 | 0.934471 | 0.467236 | − | 0.884133i | \(-0.345250\pi\) | ||||
0.467236 | + | 0.884133i | \(0.345250\pi\) | |||||||
\(80\) | 0.837784 | + | 0.857900i | 0.0936671 | + | 0.0959161i | ||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | −9.25781 | + | 1.81297i | −1.02235 | + | 0.200209i | ||||
\(83\) | − | 0.827060i | − | 0.0907816i | −0.998969 | − | 0.0453908i | \(-0.985547\pi\) | ||
0.998969 | − | 0.0453908i | \(-0.0144533\pi\) | |||||||
\(84\) | −3.48290 | + | 1.41852i | −0.380016 | + | 0.154774i | ||||
\(85\) | 0.135619i | 0.0147099i | ||||||||
\(86\) | −1.20781 | − | 6.16760i | −0.130241 | − | 0.665070i | ||||
\(87\) | −9.00503 | −0.965440 | ||||||||
\(88\) | −3.82996 | − | 5.84383i | −0.408275 | − | 0.622954i | ||||
\(89\) | 14.5391 | 1.54114 | 0.770571 | − | 0.637354i | \(-0.219971\pi\) | ||||
0.770571 | + | 0.637354i | \(0.219971\pi\) | |||||||
\(90\) | 0.416048 | − | 0.0814753i | 0.0438553 | − | 0.00858825i | ||||
\(91\) | 3.75803i | 0.393948i | ||||||||
\(92\) | −0.609474 | − | 1.49644i | −0.0635420 | − | 0.156015i | ||||
\(93\) | −8.22773 | −0.853176 | ||||||||
\(94\) | −3.48767 | + | 0.682996i | −0.359726 | + | 0.0704456i | ||||
\(95\) | −1.56264 | −0.160324 | ||||||||
\(96\) | 4.65639 | + | 3.21217i | 0.475240 | + | 0.327841i | ||||
\(97\) | 6.11092i | 0.620470i | 0.950660 | + | 0.310235i | \(0.100408\pi\) | ||||
−0.950660 | + | 0.310235i | \(0.899592\pi\) | |||||||
\(98\) | 0.941543 | + | 4.80793i | 0.0951102 | + | 0.485674i | ||||
\(99\) | −2.47030 | −0.248274 | ||||||||
\(100\) | −9.09487 | + | 3.70418i | −0.909487 | + | 0.370418i | ||||
\(101\) | 16.5489i | 1.64668i | 0.567548 | + | 0.823341i | \(0.307892\pi\) | ||||
−0.567548 | + | 0.823341i | \(0.692108\pi\) | |||||||
\(102\) | 0.122955 | + | 0.627860i | 0.0121743 | + | 0.0621674i | ||||
\(103\) | 1.25864i | 0.124017i | 0.998076 | + | 0.0620085i | \(0.0197506\pi\) | ||||
−0.998076 | + | 0.0620085i | \(0.980249\pi\) | |||||||
\(104\) | 4.72792 | − | 3.09861i | 0.463611 | − | 0.303844i | ||||
\(105\) | 0.563688i | 0.0550103i | ||||||||
\(106\) | −1.37530 | + | 0.269327i | −0.133581 | + | 0.0261594i | ||||
\(107\) | − | 11.4199i | − | 1.10400i | −0.833844 | − | 0.552001i | \(-0.813865\pi\) | ||
0.833844 | − | 0.552001i | \(-0.186135\pi\) | |||||||
\(108\) | 1.85227 | − | 0.754394i | 0.178234 | − | 0.0725916i | ||||
\(109\) | 6.20771i | 0.594591i | 0.954786 | + | 0.297295i | \(0.0960846\pi\) | ||||
−0.954786 | + | 0.297295i | \(0.903915\pi\) | |||||||
\(110\) | −1.02776 | + | 0.201268i | −0.0979933 | + | 0.0191902i | ||||
\(111\) | −1.31776 | −0.125076 | ||||||||
\(112\) | −5.38114 | + | 5.25496i | −0.508470 | + | 0.496547i | ||||
\(113\) | − | 12.9323i | − | 1.21656i | −0.793721 | − | 0.608282i | \(-0.791859\pi\) | ||
0.793721 | − | 0.608282i | \(-0.208141\pi\) | |||||||
\(114\) | −7.23440 | + | 1.41672i | −0.677564 | + | 0.132688i | ||||
\(115\) | −0.242191 | −0.0225844 | ||||||||
\(116\) | −16.6797 | + | 6.79334i | −1.54867 | + | 0.630746i | ||||
\(117\) | − | 1.99858i | − | 0.184769i | ||||||
\(118\) | −10.4922 | + | 2.05471i | −0.965889 | + | 0.189151i | ||||
\(119\) | −0.850664 | −0.0779802 | ||||||||
\(120\) | 0.709168 | − | 0.464778i | 0.0647378 | − | 0.0424283i | ||||
\(121\) | −4.89763 | −0.445239 | ||||||||
\(122\) | 12.5753 | − | 2.46264i | 1.13851 | − | 0.222957i | ||||
\(123\) | 6.67060i | 0.601468i | ||||||||
\(124\) | −15.2399 | + | 6.20695i | −1.36859 | + | 0.557401i | ||||
\(125\) | 2.97085i | 0.265720i | ||||||||
\(126\) | 0.511050 | + | 2.60964i | 0.0455279 | + | 0.232486i | ||||
\(127\) | − | 1.17875i | − | 0.104597i | −0.998631 | − | 0.0522986i | \(-0.983345\pi\) | ||
0.998631 | − | 0.0522986i | \(-0.0166548\pi\) | |||||||
\(128\) | 11.0481 | + | 2.43705i | 0.976524 | + | 0.215407i | ||||
\(129\) | −4.44399 | −0.391272 | ||||||||
\(130\) | −0.162835 | − | 0.831507i | −0.0142816 | − | 0.0729279i | ||||
\(131\) | − | 8.74378i | − | 0.763948i | −0.924173 | − | 0.381974i | \(-0.875244\pi\) | ||
0.924173 | − | 0.381974i | \(-0.124756\pi\) | |||||||
\(132\) | −4.57565 | + | 1.86358i | −0.398259 | + | 0.162204i | ||||
\(133\) | − | 9.80161i | − | 0.849908i | ||||||
\(134\) | 9.82837 | − | 6.11581i | 0.849042 | − | 0.528326i | ||||
\(135\) | − | 0.299779i | − | 0.0258008i | ||||||
\(136\) | 0.701399 | + | 1.07021i | 0.0601445 | + | 0.0917696i | ||||
\(137\) | 16.4759i | 1.40763i | 0.710384 | + | 0.703814i | \(0.248521\pi\) | ||||
−0.710384 | + | 0.703814i | \(0.751479\pi\) | |||||||
\(138\) | −1.12124 | + | 0.219575i | −0.0954466 | + | 0.0186914i | ||||
\(139\) | 13.7850 | 1.16923 | 0.584613 | − | 0.811312i | \(-0.301246\pi\) | ||||
0.584613 | + | 0.811312i | \(0.301246\pi\) | |||||||
\(140\) | 0.425243 | + | 1.04410i | 0.0359396 | + | 0.0882425i | ||||
\(141\) | 2.51300i | 0.211633i | ||||||||
\(142\) | −0.119735 | + | 0.0234479i | −0.0100480 | + | 0.00196771i | ||||
\(143\) | 4.93709i | 0.412860i | ||||||||
\(144\) | 2.86178 | − | 2.79468i | 0.238482 | − | 0.232890i | ||||
\(145\) | 2.69951i | 0.224182i | ||||||||
\(146\) | −0.519135 | − | 2.65093i | −0.0429639 | − | 0.219393i | ||||
\(147\) | 3.46429 | 0.285730 | ||||||||
\(148\) | −2.44084 | + | 0.994109i | −0.200636 | + | 0.0817153i | ||||
\(149\) | 4.35465 | 0.356747 | 0.178374 | − | 0.983963i | \(-0.442916\pi\) | ||||
0.178374 | + | 0.983963i | \(0.442916\pi\) | |||||||
\(150\) | 1.33450 | + | 6.81454i | 0.108961 | + | 0.556405i | ||||
\(151\) | 6.96999i | 0.567210i | 0.958941 | + | 0.283605i | \(0.0915304\pi\) | ||||
−0.958941 | + | 0.283605i | \(0.908470\pi\) | |||||||
\(152\) | −12.3313 | + | 8.08174i | −1.00020 | + | 0.655515i | ||||
\(153\) | 0.452397 | 0.0365741 | ||||||||
\(154\) | −1.26244 | − | 6.44659i | −0.101731 | − | 0.519481i | ||||
\(155\) | 2.46650i | 0.198114i | ||||||||
\(156\) | −1.50772 | − | 3.70191i | −0.120714 | − | 0.296390i | ||||
\(157\) | −7.05972 | −0.563427 | −0.281713 | − | 0.959499i | \(-0.590903\pi\) | ||||
−0.281713 | + | 0.959499i | \(0.590903\pi\) | |||||||
\(158\) | −2.25738 | − | 11.5272i | −0.179588 | − | 0.917052i | ||||
\(159\) | 0.990958i | 0.0785880i | ||||||||
\(160\) | 0.962941 | − | 1.39588i | 0.0761272 | − | 0.110354i | ||||
\(161\) | − | 1.51913i | − | 0.119724i | ||||||
\(162\) | −0.271785 | − | 1.38785i | −0.0213534 | − | 0.109040i | ||||
\(163\) | 19.2430i | 1.50723i | 0.657317 | + | 0.753614i | \(0.271691\pi\) | ||||
−0.657317 | + | 0.753614i | \(0.728309\pi\) | |||||||
\(164\) | 5.03226 | + | 12.3557i | 0.392954 | + | 0.964821i | ||||
\(165\) | 0.740542i | 0.0576511i | ||||||||
\(166\) | −1.14784 | + | 0.224782i | −0.0890894 | + | 0.0174465i | ||||
\(167\) | − | 13.2882i | − | 1.02828i | −0.857708 | − | 0.514138i | \(-0.828112\pi\) | ||
0.857708 | − | 0.514138i | \(-0.171888\pi\) | |||||||
\(168\) | 2.91530 | + | 4.44822i | 0.224920 | + | 0.343188i | ||||
\(169\) | 9.00567 | 0.692744 | ||||||||
\(170\) | 0.188219 | − | 0.0368592i | 0.0144357 | − | 0.00282697i | ||||
\(171\) | 5.21266i | 0.398622i | ||||||||
\(172\) | −8.23145 | + | 3.35252i | −0.627642 | + | 0.255627i | ||||
\(173\) | −18.7393 | −1.42472 | −0.712360 | − | 0.701815i | \(-0.752373\pi\) | ||||
−0.712360 | + | 0.701815i | \(0.752373\pi\) | |||||||
\(174\) | 2.44743 | + | 12.4976i | 0.185539 | + | 0.947444i | ||||
\(175\) | −9.23276 | −0.697931 | ||||||||
\(176\) | −7.06944 | + | 6.90368i | −0.532879 | + | 0.520385i | ||||
\(177\) | 7.56006i | 0.568249i | ||||||||
\(178\) | −3.95151 | − | 20.1781i | −0.296178 | − | 1.51241i | ||||
\(179\) | 0.698346 | 0.0521969 | 0.0260984 | − | 0.999659i | \(-0.491692\pi\) | ||||
0.0260984 | + | 0.999659i | \(0.491692\pi\) | |||||||
\(180\) | −0.226151 | − | 0.555270i | −0.0168563 | − | 0.0413874i | ||||
\(181\) | 1.39540 | 0.103719 | 0.0518597 | − | 0.998654i | \(-0.483485\pi\) | ||||
0.0518597 | + | 0.998654i | \(0.483485\pi\) | |||||||
\(182\) | 5.21559 | − | 1.02138i | 0.386605 | − | 0.0757094i | ||||
\(183\) | − | 9.06097i | − | 0.669806i | ||||||
\(184\) | −1.91120 | + | 1.25257i | −0.140895 | + | 0.0923407i | ||||
\(185\) | 0.395036i | 0.0290436i | ||||||||
\(186\) | 2.23617 | + | 11.4189i | 0.163964 | + | 0.837272i | ||||
\(187\) | −1.11756 | −0.0817237 | ||||||||
\(188\) | 1.89579 | + | 4.65475i | 0.138265 | + | 0.339482i | ||||
\(189\) | 1.88035 | 0.136775 | ||||||||
\(190\) | 0.424703 | + | 2.16872i | 0.0308112 | + | 0.157335i | ||||
\(191\) | −7.48899 | −0.541884 | −0.270942 | − | 0.962596i | \(-0.587335\pi\) | ||||
−0.270942 | + | 0.962596i | \(0.587335\pi\) | |||||||
\(192\) | 3.19249 | − | 7.33540i | 0.230398 | − | 0.529387i | ||||
\(193\) | 22.3190 | 1.60656 | 0.803279 | − | 0.595603i | \(-0.203087\pi\) | ||||
0.803279 | + | 0.595603i | \(0.203087\pi\) | |||||||
\(194\) | 8.48105 | − | 1.66085i | 0.608904 | − | 0.119242i | ||||
\(195\) | −0.599132 | −0.0429047 | ||||||||
\(196\) | 6.41679 | − | 2.61344i | 0.458342 | − | 0.186675i | ||||
\(197\) | 21.7278i | 1.54804i | 0.633160 | + | 0.774021i | \(0.281758\pi\) | ||||
−0.633160 | + | 0.774021i | \(0.718242\pi\) | |||||||
\(198\) | 0.671389 | + | 3.42841i | 0.0477136 | + | 0.243646i | ||||
\(199\) | 20.9659i | 1.48624i | 0.669161 | + | 0.743118i | \(0.266654\pi\) | ||||
−0.669161 | + | 0.743118i | \(0.733346\pi\) | |||||||
\(200\) | 7.61270 | + | 11.6156i | 0.538299 | + | 0.821347i | ||||
\(201\) | −2.90832 | − | 7.65125i | −0.205137 | − | 0.539678i | ||||
\(202\) | 22.9675 | − | 4.49775i | 1.61599 | − | 0.316461i | ||||
\(203\) | −16.9326 | −1.18843 | ||||||||
\(204\) | 0.837960 | − | 0.341286i | 0.0586689 | − | 0.0238948i | ||||
\(205\) | 1.99970 | 0.139665 | ||||||||
\(206\) | 1.74680 | − | 0.342078i | 0.121705 | − | 0.0238337i | ||||
\(207\) | 0.807898i | 0.0561528i | ||||||||
\(208\) | −5.58539 | − | 5.71950i | −0.387277 | − | 0.396576i | ||||
\(209\) | − | 12.8768i | − | 0.890708i | ||||||
\(210\) | 0.782315 | − | 0.153202i | 0.0539849 | − | 0.0105719i | ||||
\(211\) | − | 6.97627i | − | 0.480266i | −0.970740 | − | 0.240133i | \(-0.922809\pi\) | ||
0.970740 | − | 0.240133i | \(-0.0771911\pi\) | |||||||
\(212\) | 0.747573 | + | 1.83552i | 0.0513435 | + | 0.126064i | ||||
\(213\) | 0.0862739i | 0.00591139i | ||||||||
\(214\) | −15.8491 | + | 3.10375i | −1.08342 | + | 0.212168i | ||||
\(215\) | 1.33221i | 0.0908562i | ||||||||
\(216\) | −1.55041 | − | 2.36564i | −0.105492 | − | 0.160961i | ||||
\(217\) | −15.4710 | −1.05024 | ||||||||
\(218\) | 8.61538 | − | 1.68716i | 0.583507 | − | 0.114269i | ||||
\(219\) | −1.91010 | −0.129072 | ||||||||
\(220\) | 0.558661 | + | 1.37168i | 0.0376649 | + | 0.0924787i | ||||
\(221\) | − | 0.904153i | − | 0.0608199i | ||||||
\(222\) | 0.358147 | + | 1.82885i | 0.0240372 | + | 0.122745i | ||||
\(223\) | − | 27.0486i | − | 1.81131i | −0.424020 | − | 0.905653i | \(-0.639381\pi\) | ||
0.424020 | − | 0.905653i | \(-0.360619\pi\) | |||||||
\(224\) | 8.75562 | + | 6.04000i | 0.585010 | + | 0.403565i | ||||
\(225\) | 4.91013 | 0.327342 | ||||||||
\(226\) | −17.9481 | + | 3.51479i | −1.19389 | + | 0.233800i | ||||
\(227\) | 11.0542i | 0.733693i | 0.930282 | + | 0.366846i | \(0.119563\pi\) | ||||
−0.930282 | + | 0.366846i | \(0.880437\pi\) | |||||||
\(228\) | 3.93240 | + | 9.65523i | 0.260430 | + | 0.639433i | ||||
\(229\) | 11.8822i | 0.785199i | 0.919710 | + | 0.392600i | \(0.128424\pi\) | ||||
−0.919710 | + | 0.392600i | \(0.871576\pi\) | |||||||
\(230\) | 0.0658237 | + | 0.336125i | 0.00434029 | + | 0.0221634i | ||||
\(231\) | −4.64502 | −0.305620 | ||||||||
\(232\) | 13.9614 | + | 21.3026i | 0.916614 | + | 1.39859i | ||||
\(233\) | − | 5.38131i | − | 0.352542i | −0.984342 | − | 0.176271i | \(-0.943597\pi\) | ||
0.984342 | − | 0.176271i | \(-0.0564034\pi\) | |||||||
\(234\) | −2.77374 | + | 0.543184i | −0.181325 | + | 0.0355091i | ||||
\(235\) | 0.753344 | 0.0491427 | ||||||||
\(236\) | 5.70327 | + | 14.0032i | 0.371251 | + | 0.911533i | ||||
\(237\) | −8.30576 | −0.539517 | ||||||||
\(238\) | 0.231198 | + | 1.18060i | 0.0149863 | + | 0.0765266i | ||||
\(239\) | 14.4375 | 0.933883 | 0.466941 | − | 0.884288i | \(-0.345356\pi\) | ||||
0.466941 | + | 0.884288i | \(0.345356\pi\) | |||||||
\(240\) | −0.837784 | − | 0.857900i | −0.0540788 | − | 0.0553772i | ||||
\(241\) | −7.02196 | −0.452324 | −0.226162 | − | 0.974090i | \(-0.572618\pi\) | ||||
−0.226162 | + | 0.974090i | \(0.572618\pi\) | |||||||
\(242\) | 1.33110 | + | 6.79719i | 0.0855665 | + | 0.436940i | ||||
\(243\) | −1.00000 | −0.0641500 | ||||||||
\(244\) | −6.83555 | − | 16.7833i | −0.437601 | − | 1.07444i | ||||
\(245\) | − | 1.03852i | − | 0.0663487i | ||||||
\(246\) | 9.25781 | − | 1.81297i | 0.590256 | − | 0.115591i | ||||
\(247\) | 10.4179 | 0.662877 | ||||||||
\(248\) | 12.7563 | + | 19.4638i | 0.810027 | + | 1.23595i | ||||
\(249\) | 0.827060i | 0.0524128i | ||||||||
\(250\) | 4.12309 | − | 0.807431i | 0.260767 | − | 0.0510664i | ||||
\(251\) | 15.9704 | 1.00804 | 0.504021 | − | 0.863691i | \(-0.331853\pi\) | ||||
0.504021 | + | 0.863691i | \(0.331853\pi\) | |||||||
\(252\) | 3.48290 | − | 1.41852i | 0.219402 | − | 0.0893586i | ||||
\(253\) | − | 1.99575i | − | 0.125472i | ||||||
\(254\) | −1.63593 | + | 0.320366i | −0.102647 | + | 0.0201016i | ||||
\(255\) | − | 0.135619i | − | 0.00849279i | ||||||
\(256\) | 0.379553 | − | 15.9955i | 0.0237221 | − | 0.999719i | ||||
\(257\) | −5.54733 | −0.346033 | −0.173016 | − | 0.984919i | \(-0.555351\pi\) | ||||
−0.173016 | + | 0.984919i | \(0.555351\pi\) | |||||||
\(258\) | 1.20781 | + | 6.16760i | 0.0751949 | + | 0.383978i | ||||
\(259\) | −2.47784 | −0.153966 | ||||||||
\(260\) | −1.10975 | + | 0.451982i | −0.0688239 | + | 0.0280307i | ||||
\(261\) | 9.00503 | 0.557397 | ||||||||
\(262\) | −12.1351 | + | 2.37643i | −0.749707 | + | 0.146816i | ||||
\(263\) | − | 19.4297i | − | 1.19808i | −0.800718 | − | 0.599042i | \(-0.795548\pi\) | ||
0.800718 | − | 0.599042i | \(-0.204452\pi\) | |||||||
\(264\) | 3.82996 | + | 5.84383i | 0.235718 | + | 0.359663i | ||||
\(265\) | 0.297068 | 0.0182487 | ||||||||
\(266\) | −13.6032 | + | 2.66393i | −0.834065 | + | 0.163336i | ||||
\(267\) | −14.5391 | −0.889779 | ||||||||
\(268\) | −11.1590 | − | 11.9781i | −0.681647 | − | 0.731681i | ||||
\(269\) | 5.13142 | 0.312868 | 0.156434 | − | 0.987688i | \(-0.450000\pi\) | ||||
0.156434 | + | 0.987688i | \(0.450000\pi\) | |||||||
\(270\) | −0.416048 | + | 0.0814753i | −0.0253199 | + | 0.00495843i | ||||
\(271\) | 4.15615 | 0.252468 | 0.126234 | − | 0.992000i | \(-0.459711\pi\) | ||||
0.126234 | + | 0.992000i | \(0.459711\pi\) | |||||||
\(272\) | 1.29466 | − | 1.26430i | 0.0785003 | − | 0.0766597i | ||||
\(273\) | − | 3.75803i | − | 0.227446i | ||||||
\(274\) | 22.8661 | − | 4.47789i | 1.38139 | − | 0.270519i | ||||
\(275\) | −12.1295 | −0.731435 | ||||||||
\(276\) | 0.609474 | + | 1.49644i | 0.0366860 | + | 0.0900753i | ||||
\(277\) | 0.861448 | 0.0517594 | 0.0258797 | − | 0.999665i | \(-0.491761\pi\) | ||||
0.0258797 | + | 0.999665i | \(0.491761\pi\) | |||||||
\(278\) | −3.74655 | − | 19.1315i | −0.224703 | − | 1.14743i | ||||
\(279\) | 8.22773 | 0.492581 | ||||||||
\(280\) | 1.33348 | − | 0.873945i | 0.0796907 | − | 0.0522282i | ||||
\(281\) | − | 12.5745i | − | 0.750134i | −0.926998 | − | 0.375067i | \(-0.877620\pi\) | ||
0.926998 | − | 0.375067i | \(-0.122380\pi\) | |||||||
\(282\) | 3.48767 | − | 0.682996i | 0.207688 | − | 0.0406718i | ||||
\(283\) | − | 11.4059i | − | 0.678013i | −0.940784 | − | 0.339006i | \(-0.889909\pi\) | ||
0.940784 | − | 0.339006i | \(-0.110091\pi\) | |||||||
\(284\) | 0.0650845 | + | 0.159802i | 0.00386206 | + | 0.00948252i | ||||
\(285\) | 1.56264 | 0.0925630 | ||||||||
\(286\) | 6.85195 | − | 1.34183i | 0.405164 | − | 0.0793439i | ||||
\(287\) | 12.5431i | 0.740393i | ||||||||
\(288\) | −4.65639 | − | 3.21217i | −0.274380 | − | 0.189279i | ||||
\(289\) | −16.7953 | −0.987961 | ||||||||
\(290\) | 3.74653 | − | 0.733687i | 0.220004 | − | 0.0430836i | ||||
\(291\) | − | 6.11092i | − | 0.358228i | ||||||
\(292\) | −3.53801 | + | 1.44097i | −0.207046 | + | 0.0843261i | ||||
\(293\) | −10.9531 | −0.639890 | −0.319945 | − | 0.947436i | \(-0.603664\pi\) | ||||
−0.319945 | + | 0.947436i | \(0.603664\pi\) | |||||||
\(294\) | −0.941543 | − | 4.80793i | −0.0549119 | − | 0.280404i | ||||
\(295\) | 2.26634 | 0.131952 | ||||||||
\(296\) | 2.04306 | + | 3.11734i | 0.118750 | + | 0.181192i | ||||
\(297\) | 2.47030 | 0.143341 | ||||||||
\(298\) | −1.18353 | − | 6.04361i | −0.0685600 | − | 0.350097i | ||||
\(299\) | 1.61465 | 0.0933777 | ||||||||
\(300\) | 9.09487 | − | 3.70418i | 0.525093 | − | 0.213861i | ||||
\(301\) | −8.35625 | −0.481646 | ||||||||
\(302\) | 9.67332 | − | 1.89434i | 0.556637 | − | 0.109007i | ||||
\(303\) | − | 16.5489i | − | 0.950712i | ||||||
\(304\) | 14.5677 | + | 14.9175i | 0.835515 | + | 0.855576i | ||||
\(305\) | −2.71629 | −0.155534 | ||||||||
\(306\) | −0.122955 | − | 0.627860i | −0.00702885 | − | 0.0358924i | ||||
\(307\) | − | 5.44353i | − | 0.310679i | −0.987861 | − | 0.155339i | \(-0.950353\pi\) | ||
0.987861 | − | 0.155339i | \(-0.0496471\pi\) | |||||||
\(308\) | −8.60380 | + | 3.50417i | −0.490247 | + | 0.199669i | ||||
\(309\) | − | 1.25864i | − | 0.0716013i | ||||||
\(310\) | 3.42313 | − | 0.670357i | 0.194421 | − | 0.0380737i | ||||
\(311\) | −25.9978 | −1.47420 | −0.737099 | − | 0.675785i | \(-0.763805\pi\) | ||||
−0.737099 | + | 0.675785i | \(0.763805\pi\) | |||||||
\(312\) | −4.72792 | + | 3.09861i | −0.267666 | + | 0.175424i | ||||
\(313\) | 10.3628i | 0.585740i | 0.956152 | + | 0.292870i | \(0.0946104\pi\) | ||||
−0.956152 | + | 0.292870i | \(0.905390\pi\) | |||||||
\(314\) | 1.91872 | + | 9.79784i | 0.108280 | + | 0.552924i | ||||
\(315\) | − | 0.563688i | − | 0.0317602i | ||||||
\(316\) | −15.3845 | + | 6.26582i | −0.865445 | + | 0.352480i | ||||
\(317\) | −16.5470 | −0.929375 | −0.464687 | − | 0.885475i | \(-0.653833\pi\) | ||||
−0.464687 | + | 0.885475i | \(0.653833\pi\) | |||||||
\(318\) | 1.37530 | − | 0.269327i | 0.0771231 | − | 0.0151031i | ||||
\(319\) | −22.2451 | −1.24549 | ||||||||
\(320\) | −2.19899 | − | 0.957039i | −0.122928 | − | 0.0535001i | ||||
\(321\) | 11.4199i | 0.637396i | ||||||||
\(322\) | −2.10833 | + | 0.412876i | −0.117492 | + | 0.0230087i | ||||
\(323\) | 2.35819i | 0.131213i | ||||||||
\(324\) | −1.85227 | + | 0.754394i | −0.102904 | + | 0.0419108i | ||||
\(325\) | − | 9.81330i | − | 0.544344i | ||||||
\(326\) | 26.7064 | − | 5.22995i | 1.47913 | − | 0.289660i | ||||
\(327\) | − | 6.20771i | − | 0.343287i | ||||||
\(328\) | 15.7802 | − | 10.3421i | 0.871318 | − | 0.571049i | ||||
\(329\) | 4.72531i | 0.260515i | ||||||||
\(330\) | 1.02776 | − | 0.201268i | 0.0565765 | − | 0.0110794i | ||||
\(331\) | 5.88317 | 0.323368 | 0.161684 | − | 0.986843i | \(-0.448307\pi\) | ||||
0.161684 | + | 0.986843i | \(0.448307\pi\) | |||||||
\(332\) | 0.623929 | + | 1.53194i | 0.0342426 | + | 0.0840759i | ||||
\(333\) | 1.31776 | 0.0722127 | ||||||||
\(334\) | −18.4421 | + | 3.61154i | −1.00911 | + | 0.197615i | ||||
\(335\) | −2.29368 | + | 0.871852i | −0.125317 | + | 0.0476344i | ||||
\(336\) | 5.38114 | − | 5.25496i | 0.293565 | − | 0.286682i | ||||
\(337\) | − | 23.4236i | − | 1.27596i | −0.770052 | − | 0.637981i | \(-0.779770\pi\) | ||
0.770052 | − | 0.637981i | \(-0.220230\pi\) | |||||||
\(338\) | −2.44760 | − | 12.4985i | −0.133132 | − | 0.679831i | ||||
\(339\) | 12.9323i | 0.702384i | ||||||||
\(340\) | −0.102310 | − | 0.251202i | −0.00554855 | − | 0.0136234i | ||||
\(341\) | −20.3249 | −1.10066 | ||||||||
\(342\) | 7.23440 | − | 1.41672i | 0.391192 | − | 0.0766076i | ||||
\(343\) | 19.6765 | 1.06243 | ||||||||
\(344\) | 6.88999 | + | 10.5129i | 0.371483 | + | 0.566816i | ||||
\(345\) | 0.242191 | 0.0130391 | ||||||||
\(346\) | 5.09305 | + | 26.0073i | 0.273804 | + | 1.39816i | ||||
\(347\) | −14.2125 | −0.762965 | −0.381483 | − | 0.924376i | \(-0.624586\pi\) | ||||
−0.381483 | + | 0.924376i | \(0.624586\pi\) | |||||||
\(348\) | 16.6797 | − | 6.79334i | 0.894126 | − | 0.364161i | ||||
\(349\) | −25.9097 | −1.38691 | −0.693457 | − | 0.720498i | \(-0.743913\pi\) | ||||
−0.693457 | + | 0.720498i | \(0.743913\pi\) | |||||||
\(350\) | 2.50932 | + | 12.8137i | 0.134129 | + | 0.684921i | ||||
\(351\) | 1.99858i | 0.106676i | ||||||||
\(352\) | 11.5027 | + | 7.93502i | 0.613094 | + | 0.422938i | ||||
\(353\) | − | 32.5138i | − | 1.73054i | −0.501309 | − | 0.865269i | \(-0.667148\pi\) | ||
0.501309 | − | 0.865269i | \(-0.332852\pi\) | |||||||
\(354\) | 10.4922 | − | 2.05471i | 0.557656 | − | 0.109207i | ||||
\(355\) | 0.0258631 | 0.00137267 | ||||||||
\(356\) | −26.9303 | + | 10.9682i | −1.42730 | + | 0.581315i | ||||
\(357\) | 0.850664 | 0.0450219 | ||||||||
\(358\) | −0.189800 | − | 0.969201i | −0.0100312 | − | 0.0512239i | ||||
\(359\) | 20.9244i | 1.10435i | 0.833729 | + | 0.552175i | \(0.186202\pi\) | ||||
−0.833729 | + | 0.552175i | \(0.813798\pi\) | |||||||
\(360\) | −0.709168 | + | 0.464778i | −0.0373764 | + | 0.0244960i | ||||
\(361\) | −8.17183 | −0.430096 | ||||||||
\(362\) | −0.379249 | − | 1.93661i | −0.0199329 | − | 0.101786i | ||||
\(363\) | 4.89763 | 0.257059 | ||||||||
\(364\) | −2.83504 | − | 6.96087i | −0.148596 | − | 0.364849i | ||||
\(365\) | 0.572606i | 0.0299716i | ||||||||
\(366\) | −12.5753 | + | 2.46264i | −0.657321 | + | 0.128724i | ||||
\(367\) | 31.9614 | 1.66837 | 0.834186 | − | 0.551484i | \(-0.185938\pi\) | ||||
0.834186 | + | 0.551484i | \(0.185938\pi\) | |||||||
\(368\) | 2.25782 | + | 2.31203i | 0.117697 | + | 0.120523i | ||||
\(369\) | − | 6.67060i | − | 0.347258i | ||||||
\(370\) | 0.548251 | − | 0.107365i | 0.0285022 | − | 0.00558162i | ||||
\(371\) | 1.86334i | 0.0967400i | ||||||||
\(372\) | 15.2399 | − | 6.20695i | 0.790154 | − | 0.321816i | ||||
\(373\) | − | 4.12613i | − | 0.213643i | −0.994278 | − | 0.106822i | \(-0.965933\pi\) | ||
0.994278 | − | 0.106822i | \(-0.0340674\pi\) | |||||||
\(374\) | 0.303735 | + | 1.55100i | 0.0157057 | + | 0.0802004i | ||||
\(375\) | − | 2.97085i | − | 0.153414i | ||||||
\(376\) | 5.94485 | − | 3.89617i | 0.306582 | − | 0.200930i | ||||
\(377\) | − | 17.9973i | − | 0.926907i | ||||||
\(378\) | −0.511050 | − | 2.60964i | −0.0262856 | − | 0.134226i | ||||
\(379\) | −8.75420 | −0.449673 | −0.224836 | − | 0.974397i | \(-0.572185\pi\) | ||||
−0.224836 | + | 0.974397i | \(0.572185\pi\) | |||||||
\(380\) | 2.89443 | − | 1.17885i | 0.148481 | − | 0.0604737i | ||||
\(381\) | 1.17875i | 0.0603892i | ||||||||
\(382\) | 2.03539 | + | 10.3936i | 0.104140 | + | 0.531783i | ||||
\(383\) | 7.08452 | 0.362002 | 0.181001 | − | 0.983483i | \(-0.442066\pi\) | ||||
0.181001 | + | 0.983483i | \(0.442066\pi\) | |||||||
\(384\) | −11.0481 | − | 2.43705i | −0.563797 | − | 0.124365i | ||||
\(385\) | 1.39248i | 0.0709672i | ||||||||
\(386\) | −6.06597 | − | 30.9755i | −0.308750 | − | 1.57661i | ||||
\(387\) | 4.44399 | 0.225901 | ||||||||
\(388\) | −4.61004 | − | 11.3190i | −0.234039 | − | 0.574637i | ||||
\(389\) | −18.4108 | −0.933466 | −0.466733 | − | 0.884398i | \(-0.654569\pi\) | ||||
−0.466733 | + | 0.884398i | \(0.654569\pi\) | |||||||
\(390\) | 0.162835 | + | 0.831507i | 0.00824547 | + | 0.0421050i | ||||
\(391\) | 0.365491i | 0.0184837i | ||||||||
\(392\) | −5.37106 | − | 8.19527i | −0.271279 | − | 0.413923i | ||||
\(393\) | 8.74378i | 0.441065i | ||||||||
\(394\) | 30.1550 | − | 5.90529i | 1.51919 | − | 0.297504i | ||||
\(395\) | 2.48989i | 0.125280i | ||||||||
\(396\) | 4.57565 | − | 1.86358i | 0.229935 | − | 0.0936483i | ||||
\(397\) | 1.97019 | 0.0988812 | 0.0494406 | − | 0.998777i | \(-0.484256\pi\) | ||||
0.0494406 | + | 0.998777i | \(0.484256\pi\) | |||||||
\(398\) | 29.0976 | − | 5.69822i | 1.45853 | − | 0.285626i | ||||
\(399\) | 9.80161i | 0.490694i | ||||||||
\(400\) | 14.0517 | − | 13.7222i | 0.702586 | − | 0.686112i | ||||
\(401\) | − | 15.8711i | − | 0.792565i | −0.918129 | − | 0.396282i | \(-0.870300\pi\) | ||
0.918129 | − | 0.396282i | \(-0.129700\pi\) | |||||||
\(402\) | −9.82837 | + | 6.11581i | −0.490194 | + | 0.305029i | ||||
\(403\) | − | 16.4438i | − | 0.819124i | ||||||
\(404\) | −12.4844 | − | 30.6530i | −0.621123 | − | 1.52505i | ||||
\(405\) | 0.299779i | 0.0148961i | ||||||||
\(406\) | 4.60202 | + | 23.4999i | 0.228394 | + | 1.16628i | ||||
\(407\) | −3.25525 | −0.161357 | ||||||||
\(408\) | −0.701399 | − | 1.07021i | −0.0347244 | − | 0.0529832i | ||||
\(409\) | − | 21.7609i | − | 1.07601i | −0.842942 | − | 0.538004i | \(-0.819178\pi\) | ||
0.842942 | − | 0.538004i | \(-0.180822\pi\) | |||||||
\(410\) | −0.543489 | − | 2.77529i | −0.0268410 | − | 0.137062i | ||||
\(411\) | − | 16.4759i | − | 0.812695i | ||||||
\(412\) | −0.949508 | − | 2.33133i | −0.0467789 | − | 0.114856i | ||||
\(413\) | 14.2155i | 0.699501i | ||||||||
\(414\) | 1.12124 | − | 0.219575i | 0.0551061 | − | 0.0107915i | ||||
\(415\) | 0.247935 | 0.0121706 | ||||||||
\(416\) | −6.41979 | + | 9.30617i | −0.314756 | + | 0.456273i | ||||
\(417\) | −13.7850 | −0.675053 | ||||||||
\(418\) | −17.8711 | + | 3.49972i | −0.874105 | + | 0.171177i | ||||
\(419\) | 8.01500i | 0.391558i | 0.980648 | + | 0.195779i | \(0.0627236\pi\) | ||||
−0.980648 | + | 0.195779i | \(0.937276\pi\) | |||||||
\(420\) | −0.425243 | − | 1.04410i | −0.0207497 | − | 0.0509468i | ||||
\(421\) | 13.0724 | 0.637108 | 0.318554 | − | 0.947905i | \(-0.396803\pi\) | ||||
0.318554 | + | 0.947905i | \(0.396803\pi\) | |||||||
\(422\) | −9.68203 | + | 1.89604i | −0.471314 | + | 0.0922980i | ||||
\(423\) | − | 2.51300i | − | 0.122186i | ||||||
\(424\) | 2.34425 | − | 1.53639i | 0.113847 | − | 0.0746135i | ||||
\(425\) | 2.22133 | 0.107750 | ||||||||
\(426\) | 0.119735 | − | 0.0234479i | 0.00580120 | − | 0.00113606i | ||||
\(427\) | − | 17.0378i | − | 0.824516i | ||||||
\(428\) | 8.61509 | + | 21.1527i | 0.416426 | + | 1.02245i | ||||
\(429\) | − | 4.93709i | − | 0.238365i | ||||||
\(430\) | 1.84891 | − | 0.362075i | 0.0891626 | − | 0.0174608i | ||||
\(431\) | 11.2297i | 0.540915i | 0.962732 | + | 0.270457i | \(0.0871749\pi\) | ||||
−0.962732 | + | 0.270457i | \(0.912825\pi\) | |||||||
\(432\) | −2.86178 | + | 2.79468i | −0.137687 | + | 0.134459i | ||||
\(433\) | − | 37.9064i | − | 1.82167i | −0.412775 | − | 0.910833i | \(-0.635440\pi\) | ||
0.412775 | − | 0.910833i | \(-0.364560\pi\) | |||||||
\(434\) | 4.20478 | + | 21.4714i | 0.201836 | + | 1.03066i | ||||
\(435\) | − | 2.69951i | − | 0.129432i | ||||||
\(436\) | −4.68306 | − | 11.4983i | −0.224278 | − | 0.550670i | ||||
\(437\) | −4.21130 | −0.201454 | ||||||||
\(438\) | 0.519135 | + | 2.65093i | 0.0248052 | + | 0.126666i | ||||
\(439\) | − | 16.5889i | − | 0.791747i | −0.918305 | − | 0.395873i | \(-0.870442\pi\) | ||
0.918305 | − | 0.395873i | \(-0.129558\pi\) | |||||||
\(440\) | 1.75185 | − | 1.14814i | 0.0835164 | − | 0.0547354i | ||||
\(441\) | −3.46429 | −0.164966 | ||||||||
\(442\) | −1.25483 | + | 0.245735i | −0.0596862 | + | 0.0116884i | ||||
\(443\) | 20.1784 | 0.958707 | 0.479353 | − | 0.877622i | \(-0.340871\pi\) | ||||
0.479353 | + | 0.877622i | \(0.340871\pi\) | |||||||
\(444\) | 2.44084 | − | 0.994109i | 0.115837 | − | 0.0471783i | ||||
\(445\) | 4.35851i | 0.206613i | ||||||||
\(446\) | −37.5394 | + | 7.35139i | −1.77754 | + | 0.348098i | ||||
\(447\) | −4.35465 | −0.205968 | ||||||||
\(448\) | 6.00298 | − | 13.7931i | 0.283614 | − | 0.651662i | ||||
\(449\) | 17.0132 | 0.802902 | 0.401451 | − | 0.915881i | \(-0.368506\pi\) | ||||
0.401451 | + | 0.915881i | \(0.368506\pi\) | |||||||
\(450\) | −1.33450 | − | 6.81454i | −0.0629089 | − | 0.321240i | ||||
\(451\) | 16.4784i | 0.775936i | ||||||||
\(452\) | 9.75602 | + | 23.9540i | 0.458885 | + | 1.12670i | ||||
\(453\) | − | 6.96999i | − | 0.327479i | ||||||
\(454\) | 15.3416 | − | 3.00436i | 0.720016 | − | 0.141002i | ||||
\(455\) | −1.12658 | −0.0528147 | ||||||||
\(456\) | 12.3313 | − | 8.08174i | 0.577464 | − | 0.378462i | ||||
\(457\) | −10.6168 | −0.496631 | −0.248316 | − | 0.968679i | \(-0.579877\pi\) | ||||
−0.248316 | + | 0.968679i | \(0.579877\pi\) | |||||||
\(458\) | 16.4908 | − | 3.22941i | 0.770563 | − | 0.150900i | ||||
\(459\) | −0.452397 | −0.0211161 | ||||||||
\(460\) | 0.448601 | − | 0.182707i | 0.0209161 | − | 0.00851877i | ||||
\(461\) | 26.5139 | 1.23488 | 0.617438 | − | 0.786619i | \(-0.288171\pi\) | ||||
0.617438 | + | 0.786619i | \(0.288171\pi\) | |||||||
\(462\) | 1.26244 | + | 6.44659i | 0.0587343 | + | 0.299923i | ||||
\(463\) | 6.87423 | 0.319472 | 0.159736 | − | 0.987160i | \(-0.448936\pi\) | ||||
0.159736 | + | 0.987160i | \(0.448936\pi\) | |||||||
\(464\) | 25.7704 | − | 25.1661i | 1.19636 | − | 1.16831i | ||||
\(465\) | − | 2.46650i | − | 0.114381i | ||||||
\(466\) | −7.46846 | + | 1.46256i | −0.345970 | + | 0.0677517i | ||||
\(467\) | − | 26.5463i | − | 1.22842i | −0.789144 | − | 0.614208i | \(-0.789476\pi\) | ||
0.789144 | − | 0.614208i | \(-0.210524\pi\) | |||||||
\(468\) | 1.50772 | + | 3.70191i | 0.0696943 | + | 0.171121i | ||||
\(469\) | −5.46865 | − | 14.3870i | −0.252519 | − | 0.664331i | ||||
\(470\) | −0.204747 | − | 1.04553i | −0.00944429 | − | 0.0482267i | ||||
\(471\) | 7.05972 | 0.325295 | ||||||||
\(472\) | 17.8844 | − | 11.7212i | 0.823195 | − | 0.539510i | ||||
\(473\) | −10.9780 | −0.504768 | ||||||||
\(474\) | 2.25738 | + | 11.5272i | 0.103685 | + | 0.529460i | ||||
\(475\) | 25.5949i | 1.17437i | ||||||||
\(476\) | 1.57566 | − | 0.641736i | 0.0722201 | − | 0.0294139i | ||||
\(477\) | − | 0.990958i | − | 0.0453728i | ||||||
\(478\) | −3.92389 | − | 20.0371i | −0.179474 | − | 0.916475i | ||||
\(479\) | − | 21.1438i | − | 0.966085i | −0.875597 | − | 0.483043i | \(-0.839532\pi\) | ||
0.875597 | − | 0.483043i | \(-0.160468\pi\) | |||||||
\(480\) | −0.962941 | + | 1.39588i | −0.0439520 | + | 0.0637131i | ||||
\(481\) | − | 2.63365i | − | 0.120084i | ||||||
\(482\) | 1.90846 | + | 9.74544i | 0.0869281 | + | 0.443893i | ||||
\(483\) | 1.51913i | 0.0691228i | ||||||||
\(484\) | 9.07172 | − | 3.69475i | 0.412351 | − | 0.167943i | ||||
\(485\) | −1.83192 | −0.0831833 | ||||||||
\(486\) | 0.271785 | + | 1.38785i | 0.0123284 | + | 0.0629542i | ||||
\(487\) | −6.38117 | −0.289159 | −0.144579 | − | 0.989493i | \(-0.546183\pi\) | ||||
−0.144579 | + | 0.989493i | \(0.546183\pi\) | |||||||
\(488\) | −21.4350 | + | 14.0482i | −0.970316 | + | 0.635931i | ||||
\(489\) | − | 19.2430i | − | 0.870198i | ||||||
\(490\) | −1.44131 | + | 0.282254i | −0.0651119 | + | 0.0127509i | ||||
\(491\) | 29.2851i | 1.32162i | 0.750554 | + | 0.660810i | \(0.229787\pi\) | ||||
−0.750554 | + | 0.660810i | \(0.770213\pi\) | |||||||
\(492\) | −5.03226 | − | 12.3557i | −0.226872 | − | 0.557039i | ||||
\(493\) | 4.07385 | 0.183477 | ||||||||
\(494\) | −2.83144 | − | 14.4585i | −0.127392 | − | 0.650521i | ||||
\(495\) | − | 0.740542i | − | 0.0332849i | ||||||
\(496\) | 23.5459 | − | 22.9939i | 1.05724 | − | 1.03245i | ||||
\(497\) | 0.162225i | 0.00727678i | ||||||||
\(498\) | 1.14784 | − | 0.224782i | 0.0514358 | − | 0.0100727i | ||||
\(499\) | 40.2222 | 1.80059 | 0.900295 | − | 0.435280i | \(-0.143350\pi\) | ||||
0.900295 | + | 0.435280i | \(0.143350\pi\) | |||||||
\(500\) | −2.24119 | − | 5.50280i | −0.100229 | − | 0.246092i | ||||
\(501\) | 13.2882i | 0.593675i | ||||||||
\(502\) | −4.34051 | − | 22.1645i | −0.193727 | − | 0.989252i | ||||
\(503\) | 32.3036 | 1.44035 | 0.720173 | − | 0.693794i | \(-0.244062\pi\) | ||||
0.720173 | + | 0.693794i | \(0.244062\pi\) | |||||||
\(504\) | −2.91530 | − | 4.44822i | −0.129858 | − | 0.198140i | ||||
\(505\) | −4.96102 | −0.220762 | ||||||||
\(506\) | −2.76980 | + | 0.542414i | −0.123133 | + | 0.0241133i | ||||
\(507\) | −9.00567 | −0.399956 | ||||||||
\(508\) | 0.889242 | + | 2.18336i | 0.0394537 | + | 0.0968709i | ||||
\(509\) | −5.29721 | −0.234795 | −0.117397 | − | 0.993085i | \(-0.537455\pi\) | ||||
−0.117397 | + | 0.993085i | \(0.537455\pi\) | |||||||
\(510\) | −0.188219 | + | 0.0368592i | −0.00833448 | + | 0.00163215i | ||||
\(511\) | −3.59164 | −0.158885 | ||||||||
\(512\) | −22.3025 | + | 3.82057i | −0.985642 | + | 0.168847i | ||||
\(513\) | − | 5.21266i | − | 0.230145i | ||||||
\(514\) | 1.50768 | + | 7.69887i | 0.0665009 | + | 0.339582i | ||||
\(515\) | −0.377312 | −0.0166264 | ||||||||
\(516\) | 8.23145 | − | 3.35252i | 0.362370 | − | 0.147587i | ||||
\(517\) | 6.20786i | 0.273021i | ||||||||
\(518\) | 0.673440 | + | 3.43888i | 0.0295893 | + | 0.151096i | ||||
\(519\) | 18.7393 | 0.822562 | ||||||||
\(520\) | 0.928897 | + | 1.41733i | 0.0407348 | + | 0.0621540i | ||||
\(521\) | 21.2420i | 0.930628i | 0.885146 | + | 0.465314i | \(0.154059\pi\) | ||||
−0.885146 | + | 0.465314i | \(0.845941\pi\) | |||||||
\(522\) | −2.44743 | − | 12.4976i | −0.107121 | − | 0.547007i | ||||
\(523\) | 32.5083i | 1.42149i | 0.703450 | + | 0.710745i | \(0.251642\pi\) | ||||
−0.703450 | + | 0.710745i | \(0.748358\pi\) | |||||||
\(524\) | 6.59626 | + | 16.1958i | 0.288159 | + | 0.707517i | ||||
\(525\) | 9.23276 | 0.402950 | ||||||||
\(526\) | −26.9655 | + | 5.28069i | −1.17575 | + | 0.230249i | ||||
\(527\) | 3.72220 | 0.162142 | ||||||||
\(528\) | 7.06944 | − | 6.90368i | 0.307658 | − | 0.300444i | ||||
\(529\) | 22.3473 | 0.971622 | ||||||||
\(530\) | −0.0807385 | − | 0.412286i | −0.00350706 | − | 0.0179086i | ||||
\(531\) | − | 7.56006i | − | 0.328079i | ||||||
\(532\) | 7.39428 | + | 18.1552i | 0.320583 | + | 0.787127i | ||||
\(533\) | −13.3317 | −0.577462 | ||||||||
\(534\) | 3.95151 | + | 20.1781i | 0.170999 | + | 0.873193i | ||||
\(535\) | 3.42343 | 0.148008 | ||||||||
\(536\) | −13.5910 | + | 18.7426i | −0.587043 | + | 0.809556i | ||||
\(537\) | −0.698346 | −0.0301359 | ||||||||
\(538\) | −1.39464 | − | 7.12165i | −0.0601273 | − | 0.307036i | ||||
\(539\) | 8.55783 | 0.368612 | ||||||||
\(540\) | 0.226151 | + | 0.555270i | 0.00973200 | + | 0.0238950i | ||||
\(541\) | 32.7893i | 1.40972i | 0.709346 | + | 0.704860i | \(0.248990\pi\) | ||||
−0.709346 | + | 0.704860i | \(0.751010\pi\) | |||||||
\(542\) | −1.12958 | − | 5.76812i | −0.0485195 | − | 0.247762i | ||||
\(543\) | −1.39540 | −0.0598824 | ||||||||
\(544\) | −2.10654 | − | 1.45318i | −0.0903170 | − | 0.0623045i | ||||
\(545\) | −1.86094 | −0.0797138 | ||||||||
\(546\) | −5.21559 | + | 1.02138i | −0.223207 | + | 0.0437108i | ||||
\(547\) | 4.08784 | 0.174784 | 0.0873918 | − | 0.996174i | \(-0.472147\pi\) | ||||
0.0873918 | + | 0.996174i | \(0.472147\pi\) | |||||||
\(548\) | −12.4293 | − | 30.5177i | −0.530954 | − | 1.30365i | ||||
\(549\) | 9.06097i | 0.386713i | ||||||||
\(550\) | 3.29661 | + | 16.8339i | 0.140568 | + | 0.717801i | ||||
\(551\) | 46.9401i | 1.99972i | ||||||||
\(552\) | 1.91120 | − | 1.25257i | 0.0813459 | − | 0.0533129i | ||||
\(553\) | −15.6177 | −0.664133 | ||||||||
\(554\) | −0.234129 | − | 1.19556i | −0.00994717 | − | 0.0507946i | ||||
\(555\) | − | 0.395036i | − | 0.0167683i | ||||||
\(556\) | −25.5334 | + | 10.3993i | −1.08286 | + | 0.441029i | ||||
\(557\) | −1.60738 | −0.0681067 | −0.0340534 | − | 0.999420i | \(-0.510842\pi\) | ||||
−0.0340534 | + | 0.999420i | \(0.510842\pi\) | |||||||
\(558\) | −2.23617 | − | 11.4189i | −0.0946647 | − | 0.483399i | ||||
\(559\) | − | 8.88168i | − | 0.375655i | ||||||
\(560\) | −1.57533 | − | 1.61315i | −0.0665697 | − | 0.0681680i | ||||
\(561\) | 1.11756 | 0.0471832 | ||||||||
\(562\) | −17.4516 | + | 3.41757i | −0.736151 | + | 0.144161i | ||||
\(563\) | −4.68199 | −0.197322 | −0.0986612 | − | 0.995121i | \(-0.531456\pi\) | ||||
−0.0986612 | + | 0.995121i | \(0.531456\pi\) | |||||||
\(564\) | −1.89579 | − | 4.65475i | −0.0798273 | − | 0.196000i | ||||
\(565\) | 3.87681 | 0.163099 | ||||||||
\(566\) | −15.8298 | + | 3.09996i | −0.665374 | + | 0.130301i | ||||
\(567\) | −1.88035 | −0.0789672 | ||||||||
\(568\) | 0.204093 | − | 0.133760i | 0.00856354 | − | 0.00561243i | ||||
\(569\) | 19.5493 | 0.819549 | 0.409775 | − | 0.912187i | \(-0.365607\pi\) | ||||
0.409775 | + | 0.912187i | \(0.365607\pi\) | |||||||
\(570\) | −0.424703 | − | 2.16872i | −0.0177888 | − | 0.0908376i | ||||
\(571\) | − | 6.62279i | − | 0.277155i | −0.990352 | − | 0.138578i | \(-0.955747\pi\) | ||
0.990352 | − | 0.138578i | \(-0.0442531\pi\) | |||||||
\(572\) | −3.72451 | − | 9.14480i | −0.155730 | − | 0.382364i | ||||
\(573\) | 7.48899 | 0.312857 | ||||||||
\(574\) | 17.4079 | − | 3.40901i | 0.726592 | − | 0.142289i | ||||
\(575\) | 3.96689i | 0.165431i | ||||||||
\(576\) | −3.19249 | + | 7.33540i | −0.133020 | + | 0.305641i | ||||
\(577\) | 26.8816i | 1.11910i | 0.828798 | + | 0.559548i | \(0.189025\pi\) | ||||
−0.828798 | + | 0.559548i | \(0.810975\pi\) | |||||||
\(578\) | 4.56472 | + | 23.3094i | 0.189867 | + | 0.969545i | ||||
\(579\) | −22.3190 | −0.927546 | ||||||||
\(580\) | −2.03650 | − | 5.00022i | −0.0845610 | − | 0.207623i | ||||
\(581\) | 1.55516i | 0.0645189i | ||||||||
\(582\) | −8.48105 | + | 1.66085i | −0.351551 | + | 0.0688446i | ||||
\(583\) | 2.44796i | 0.101384i | ||||||||
\(584\) | 2.96142 | + | 4.51860i | 0.122545 | + | 0.186981i | ||||
\(585\) | 0.599132 | 0.0247711 | ||||||||
\(586\) | 2.97690 | + | 15.2013i | 0.122975 | + | 0.627962i | ||||
\(587\) | −22.3682 | −0.923233 | −0.461616 | − | 0.887080i | \(-0.652730\pi\) | ||||
−0.461616 | + | 0.887080i | \(0.652730\pi\) | |||||||
\(588\) | −6.41679 | + | 2.61344i | −0.264624 | + | 0.107777i | ||||
\(589\) | 42.8884i | 1.76718i | ||||||||
\(590\) | −0.615958 | − | 3.14535i | −0.0253586 | − | 0.129492i | ||||
\(591\) | − | 21.7278i | − | 0.893763i | ||||||
\(592\) | 3.77113 | − | 3.68271i | 0.154993 | − | 0.151358i | ||||
\(593\) | − | 25.0785i | − | 1.02985i | −0.857235 | − | 0.514925i | \(-0.827820\pi\) | ||
0.857235 | − | 0.514925i | \(-0.172180\pi\) | |||||||
\(594\) | −0.671389 | − | 3.42841i | −0.0275474 | − | 0.140669i | ||||
\(595\) | − | 0.255011i | − | 0.0104544i | ||||||
\(596\) | −8.06598 | + | 3.28513i | −0.330395 | + | 0.134564i | ||||
\(597\) | − | 20.9659i | − | 0.858078i | ||||||
\(598\) | −0.438838 | − | 2.24090i | −0.0179454 | − | 0.0916371i | ||||
\(599\) | −14.4555 | −0.590637 | −0.295319 | − | 0.955399i | \(-0.595426\pi\) | ||||
−0.295319 | + | 0.955399i | \(0.595426\pi\) | |||||||
\(600\) | −7.61270 | − | 11.6156i | −0.310787 | − | 0.474205i | ||||
\(601\) | 18.7178 | 0.763516 | 0.381758 | − | 0.924262i | \(-0.375319\pi\) | ||||
0.381758 | + | 0.924262i | \(0.375319\pi\) | |||||||
\(602\) | 2.27110 | + | 11.5972i | 0.0925632 | + | 0.472668i | ||||
\(603\) | 2.90832 | + | 7.65125i | 0.118436 | + | 0.311583i | ||||
\(604\) | −5.25812 | − | 12.9103i | −0.213950 | − | 0.525312i | ||||
\(605\) | − | 1.46821i | − | 0.0596910i | ||||||
\(606\) | −22.9675 | + | 4.49775i | −0.932990 | + | 0.182709i | ||||
\(607\) | − | 35.3581i | − | 1.43514i | −0.696486 | − | 0.717570i | \(-0.745254\pi\) | ||
0.696486 | − | 0.717570i | \(-0.254746\pi\) | |||||||
\(608\) | 16.7440 | − | 24.2722i | 0.679058 | − | 0.984366i | ||||
\(609\) | 16.9326 | 0.686143 | ||||||||
\(610\) | 0.738245 | + | 3.76980i | 0.0298907 | + | 0.152635i | ||||
\(611\) | −5.02244 | −0.203186 | ||||||||
\(612\) | −0.837960 | + | 0.341286i | −0.0338725 | + | 0.0137957i | ||||
\(613\) | 8.76727 | 0.354107 | 0.177053 | − | 0.984201i | \(-0.443343\pi\) | ||||
0.177053 | + | 0.984201i | \(0.443343\pi\) | |||||||
\(614\) | −7.55482 | + | 1.47947i | −0.304888 | + | 0.0597065i | ||||
\(615\) | −1.99970 | −0.0806358 | ||||||||
\(616\) | 7.20166 | + | 10.9884i | 0.290163 | + | 0.442736i | ||||
\(617\) | 7.12749 | 0.286942 | 0.143471 | − | 0.989655i | \(-0.454174\pi\) | ||||
0.143471 | + | 0.989655i | \(0.454174\pi\) | |||||||
\(618\) | −1.74680 | + | 0.342078i | −0.0702666 | + | 0.0137604i | ||||
\(619\) | 14.9731i | 0.601820i | 0.953653 | + | 0.300910i | \(0.0972904\pi\) | ||||
−0.953653 | + | 0.300910i | \(0.902710\pi\) | |||||||
\(620\) | −1.86071 | − | 4.56861i | −0.0747280 | − | 0.183480i | ||||
\(621\) | − | 0.807898i | − | 0.0324198i | ||||||
\(622\) | 7.06580 | + | 36.0810i | 0.283313 | + | 1.44672i | ||||
\(623\) | −27.3386 | −1.09530 | ||||||||
\(624\) | 5.58539 | + | 5.71950i | 0.223595 | + | 0.228963i | ||||
\(625\) | 23.6601 | 0.946403 | ||||||||
\(626\) | 14.3820 | − | 2.81645i | 0.574822 | − | 0.112568i | ||||
\(627\) | 12.8768i | 0.514251i | ||||||||
\(628\) | 13.0765 | − | 5.32581i | 0.521808 | − | 0.212523i | ||||
\(629\) | 0.596150 | 0.0237701 | ||||||||
\(630\) | −0.782315 | + | 0.153202i | −0.0311682 | + | 0.00610371i | ||||
\(631\) | −19.6966 | −0.784109 | −0.392055 | − | 0.919942i | \(-0.628236\pi\) | ||||
−0.392055 | + | 0.919942i | \(0.628236\pi\) | |||||||
\(632\) | 12.8773 | + | 19.6484i | 0.512232 | + | 0.781573i | ||||
\(633\) | 6.97627i | 0.277282i | ||||||||
\(634\) | 4.49724 | + | 22.9649i | 0.178608 | + | 0.912051i | ||||
\(635\) | 0.353364 | 0.0140228 | ||||||||
\(636\) | −0.747573 | − | 1.83552i | −0.0296432 | − | 0.0727830i | ||||
\(637\) | 6.92368i | 0.274326i | ||||||||
\(638\) | 6.04588 | + | 30.8729i | 0.239359 | + | 1.22227i | ||||
\(639\) | − | 0.0862739i | − | 0.00341294i | ||||||
\(640\) | −0.730575 | + | 3.31199i | −0.0288785 | + | 0.130918i | ||||
\(641\) | 37.1892i | 1.46889i | 0.678670 | + | 0.734443i | \(0.262557\pi\) | ||||
−0.678670 | + | 0.734443i | \(0.737443\pi\) | |||||||
\(642\) | 15.8491 | − | 3.10375i | 0.625514 | − | 0.122495i | ||||
\(643\) | 19.1573i | 0.755490i | 0.925910 | + | 0.377745i | \(0.123300\pi\) | ||||
−0.925910 | + | 0.377745i | \(0.876700\pi\) | |||||||
\(644\) | 1.14602 | + | 2.81383i | 0.0451596 | + | 0.110881i | ||||
\(645\) | − | 1.33221i | − | 0.0524558i | ||||||
\(646\) | 3.27282 | − | 0.640921i | 0.128767 | − | 0.0252167i | ||||
\(647\) | −35.0807 | −1.37916 | −0.689582 | − | 0.724208i | \(-0.742206\pi\) | ||||
−0.689582 | + | 0.724208i | \(0.742206\pi\) | |||||||
\(648\) | 1.55041 | + | 2.36564i | 0.0609057 | + | 0.0929310i | ||||
\(649\) | 18.6756i | 0.733081i | ||||||||
\(650\) | −13.6194 | + | 2.66711i | −0.534197 | + | 0.104613i | ||||
\(651\) | 15.4710 | 0.606356 | ||||||||
\(652\) | −14.5168 | − | 35.6431i | −0.568522 | − | 1.39589i | ||||
\(653\) | − | 5.38448i | − | 0.210711i | −0.994435 | − | 0.105356i | \(-0.966402\pi\) | ||
0.994435 | − | 0.105356i | \(-0.0335981\pi\) | |||||||
\(654\) | −8.61538 | + | 1.68716i | −0.336888 | + | 0.0659732i | ||||
\(655\) | 2.62120 | 0.102419 | ||||||||
\(656\) | −18.6422 | − | 19.0898i | −0.727855 | − | 0.745331i | ||||
\(657\) | 1.91010 | 0.0745200 | ||||||||
\(658\) | 6.55804 | − | 1.28427i | 0.255659 | − | 0.0500660i | ||||
\(659\) | − | 31.2248i | − | 1.21635i | −0.793804 | − | 0.608174i | \(-0.791902\pi\) | ||
0.793804 | − | 0.608174i | \(-0.208098\pi\) | |||||||
\(660\) | −0.558661 | − | 1.37168i | −0.0217458 | − | 0.0533926i | ||||
\(661\) | 50.2687i | 1.95523i | 0.210412 | + | 0.977613i | \(0.432519\pi\) | ||||
−0.210412 | + | 0.977613i | \(0.567481\pi\) | |||||||
\(662\) | −1.59896 | − | 8.16496i | −0.0621452 | − | 0.317340i | ||||
\(663\) | 0.904153i | 0.0351144i | ||||||||
\(664\) | 1.95652 | − | 1.28228i | 0.0759279 | − | 0.0497621i | ||||
\(665\) | 2.93831 | 0.113943 | ||||||||
\(666\) | −0.358147 | − | 1.82885i | −0.0138779 | − | 0.0708666i | ||||
\(667\) | 7.27515i | 0.281695i | ||||||||
\(668\) | 10.0246 | + | 24.6134i | 0.387863 | + | 0.952320i | ||||
\(669\) | 27.0486i | 1.04576i | ||||||||
\(670\) | 1.83339 | + | 2.94633i | 0.0708300 | + | 0.113827i | ||||
\(671\) | − | 22.3833i | − | 0.864097i | ||||||
\(672\) | −8.75562 | − | 6.04000i | −0.337756 | − | 0.232998i | ||||
\(673\) | − | 43.7398i | − | 1.68604i | −0.537879 | − | 0.843022i | \(-0.680774\pi\) | ||
0.537879 | − | 0.843022i | \(-0.319226\pi\) | |||||||
\(674\) | −32.5084 | + | 6.36617i | −1.25218 | + | 0.245216i | ||||
\(675\) | −4.91013 | −0.188991 | ||||||||
\(676\) | −16.6809 | + | 6.79383i | −0.641573 | + | 0.261301i | ||||
\(677\) | − | 20.5319i | − | 0.789106i | −0.918873 | − | 0.394553i | \(-0.870900\pi\) | ||
0.918873 | − | 0.394553i | \(-0.129100\pi\) | |||||||
\(678\) | 17.9481 | − | 3.51479i | 0.689291 | − | 0.134985i | ||||
\(679\) | − | 11.4906i | − | 0.440970i | ||||||
\(680\) | −0.320825 | + | 0.210264i | −0.0123031 | + | 0.00806327i | ||||
\(681\) | − | 11.0542i | − | 0.423598i | ||||||
\(682\) | 5.52401 | + | 28.2080i | 0.211525 | + | 1.08014i | ||||
\(683\) | 25.7395 | 0.984894 | 0.492447 | − | 0.870342i | \(-0.336103\pi\) | ||||
0.492447 | + | 0.870342i | \(0.336103\pi\) | |||||||
\(684\) | −3.93240 | − | 9.65523i | −0.150359 | − | 0.369177i | ||||
\(685\) | −4.93911 | −0.188714 | ||||||||
\(686\) | −5.34778 | − | 27.3081i | −0.204179 | − | 1.04263i | ||||
\(687\) | − | 11.8822i | − | 0.453335i | ||||||
\(688\) | 12.7177 | − | 12.4195i | 0.484858 | − | 0.473490i | ||||
\(689\) | −1.98051 | −0.0754514 | ||||||||
\(690\) | −0.0658237 | − | 0.336125i | −0.00250587 | − | 0.0127960i | ||||
\(691\) | − | 7.42817i | − | 0.282581i | −0.989968 | − | 0.141291i | \(-0.954875\pi\) | ||
0.989968 | − | 0.141291i | \(-0.0451252\pi\) | |||||||
\(692\) | 34.7101 | − | 14.1368i | 1.31948 | − | 0.537400i | ||||
\(693\) | 4.64502 | 0.176450 | ||||||||
\(694\) | 3.86273 | + | 19.7248i | 0.146627 | + | 0.748743i | ||||
\(695\) | 4.13244i | 0.156752i | ||||||||
\(696\) | −13.9614 | − | 21.3026i | −0.529207 | − | 0.807474i | ||||
\(697\) | − | 3.01776i | − | 0.114306i | ||||||
\(698\) | 7.04187 | + | 35.9588i | 0.266539 | + | 1.36106i | ||||
\(699\) | 5.38131i | 0.203540i | ||||||||
\(700\) | 17.1015 | − | 6.96514i | 0.646377 | − | 0.263257i | ||||
\(701\) | 16.4094i | 0.619776i | 0.950773 | + | 0.309888i | \(0.100291\pi\) | ||||
−0.950773 | + | 0.309888i | \(0.899709\pi\) | |||||||
\(702\) | 2.77374 | − | 0.543184i | 0.104688 | − | 0.0205012i | ||||
\(703\) | 6.86902i | 0.259070i | ||||||||
\(704\) | 7.88639 | − | 18.1206i | 0.297229 | − | 0.682946i | ||||
\(705\) | −0.753344 | −0.0283726 | ||||||||
\(706\) | −45.1244 | + | 8.83677i | −1.69828 | + | 0.332576i | ||||
\(707\) | − | 31.1178i | − | 1.17030i | ||||||
\(708\) | −5.70327 | − | 14.0032i | −0.214342 | − | 0.526274i | ||||
\(709\) | 25.0894 | 0.942250 | 0.471125 | − | 0.882066i | \(-0.343848\pi\) | ||||
0.471125 | + | 0.882066i | \(0.343848\pi\) | |||||||
\(710\) | −0.00702919 | − | 0.0358941i | −0.000263801 | − | 0.00134708i | ||||
\(711\) | 8.30576 | 0.311490 | ||||||||
\(712\) | 22.5415 | + | 34.3943i | 0.844779 | + | 1.28898i | ||||
\(713\) | 6.64717i | 0.248939i | ||||||||
\(714\) | −0.231198 | − | 1.18060i | −0.00865235 | − | 0.0441827i | ||||
\(715\) | −1.48003 | −0.0553501 | ||||||||
\(716\) | −1.29352 | + | 0.526828i | −0.0483412 | + | 0.0196885i | ||||
\(717\) | −14.4375 | −0.539177 | ||||||||
\(718\) | 29.0400 | − | 5.68694i | 1.08376 | − | 0.212235i | ||||
\(719\) | 27.9871i | 1.04374i | 0.853024 | + | 0.521872i | \(0.174766\pi\) | ||||
−0.853024 | + | 0.521872i | \(0.825234\pi\) | |||||||
\(720\) | 0.837784 | + | 0.857900i | 0.0312224 | + | 0.0319720i | ||||
\(721\) | − | 2.36667i | − | 0.0881395i | ||||||
\(722\) | 2.22098 | + | 11.3413i | 0.0826563 | + | 0.422079i | ||||
\(723\) | 7.02196 | 0.261150 | ||||||||
\(724\) | −2.58465 | + | 1.05268i | −0.0960579 | + | 0.0391226i | ||||
\(725\) | 44.2159 | 1.64214 | ||||||||
\(726\) | −1.33110 | − | 6.79719i | −0.0494019 | − | 0.252267i | ||||
\(727\) | −36.2677 | −1.34509 | −0.672547 | − | 0.740054i | \(-0.734800\pi\) | ||||
−0.672547 | + | 0.740054i | \(0.734800\pi\) | |||||||
\(728\) | −8.89013 | + | 5.82647i | −0.329490 | + | 0.215943i | ||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | 0.794692 | − | 0.155626i | 0.0294129 | − | 0.00575996i | ||||
\(731\) | 2.01045 | 0.0743591 | ||||||||
\(732\) | 6.83555 | + | 16.7833i | 0.252649 | + | 0.620330i | ||||
\(733\) | 33.3050i | 1.23015i | 0.788469 | + | 0.615075i | \(0.210874\pi\) | ||||
−0.788469 | + | 0.615075i | \(0.789126\pi\) | |||||||
\(734\) | −8.68662 | − | 44.3577i | −0.320629 | − | 1.63727i | ||||
\(735\) | 1.03852i | 0.0383064i | ||||||||
\(736\) | 2.59511 | − | 3.76189i | 0.0956570 | − | 0.138665i | ||||
\(737\) | −7.18441 | − | 18.9009i | −0.264641 | − | 0.696222i | ||||
\(738\) | −9.25781 | + | 1.81297i | −0.340785 | + | 0.0667363i | ||||
\(739\) | −51.5367 | −1.89581 | −0.947905 | − | 0.318554i | \(-0.896803\pi\) | ||||
−0.947905 | + | 0.318554i | \(0.896803\pi\) | |||||||
\(740\) | −0.298013 | − | 0.731711i | −0.0109552 | − | 0.0268982i | ||||
\(741\) | −10.4179 | −0.382712 | ||||||||
\(742\) | 2.58605 | − | 0.506429i | 0.0949367 | − | 0.0185916i | ||||
\(743\) | 31.2773i | 1.14745i | 0.819047 | + | 0.573726i | \(0.194503\pi\) | ||||
−0.819047 | + | 0.573726i | \(0.805497\pi\) | |||||||
\(744\) | −12.7563 | − | 19.4638i | −0.467669 | − | 0.713579i | ||||
\(745\) | 1.30543i | 0.0478273i | ||||||||
\(746\) | −5.72646 | + | 1.12142i | −0.209661 | + | 0.0410581i | ||||
\(747\) | − | 0.827060i | − | 0.0302605i | ||||||
\(748\) | 2.07001 | − | 0.843077i | 0.0756871 | − | 0.0308260i | ||||
\(749\) | 21.4733i | 0.784619i | ||||||||
\(750\) | −4.12309 | + | 0.807431i | −0.150554 | + | 0.0294832i | ||||
\(751\) | − | 2.19849i | − | 0.0802239i | −0.999195 | − | 0.0401119i | \(-0.987229\pi\) | ||
0.999195 | − | 0.0401119i | \(-0.0127715\pi\) | |||||||
\(752\) | −7.02303 | − | 7.19165i | −0.256103 | − | 0.262253i | ||||
\(753\) | −15.9704 | −0.581994 | ||||||||
\(754\) | −24.9776 | + | 4.89139i | −0.909629 | + | 0.178134i | ||||
\(755\) | −2.08945 | −0.0760430 | ||||||||
\(756\) | −3.48290 | + | 1.41852i | −0.126672 | + | 0.0515912i | ||||
\(757\) | − | 22.9756i | − | 0.835062i | −0.908663 | − | 0.417531i | \(-0.862895\pi\) | ||
0.908663 | − | 0.417531i | \(-0.137105\pi\) | |||||||
\(758\) | 2.37926 | + | 12.1495i | 0.0864186 | + | 0.441291i | ||||
\(759\) | 1.99575i | 0.0724411i | ||||||||
\(760\) | −2.42273 | − | 3.69665i | −0.0878817 | − | 0.134092i | ||||
\(761\) | −23.3543 | −0.846592 | −0.423296 | − | 0.905992i | \(-0.639127\pi\) | ||||
−0.423296 | + | 0.905992i | \(0.639127\pi\) | |||||||
\(762\) | 1.63593 | − | 0.320366i | 0.0592635 | − | 0.0116057i | ||||
\(763\) | − | 11.6727i | − | 0.422578i | ||||||
\(764\) | 13.8716 | − | 5.64965i | 0.501857 | − | 0.204397i | ||||
\(765\) | 0.135619i | 0.00490331i | ||||||||
\(766\) | −1.92547 | − | 9.83227i | −0.0695699 | − | 0.355254i | ||||
\(767\) | −15.1094 | −0.545569 | ||||||||
\(768\) | −0.379553 | + | 15.9955i | −0.0136959 | + | 0.577188i | ||||
\(769\) | − | 31.8435i | − | 1.14830i | −0.818749 | − | 0.574152i | \(-0.805332\pi\) | ||
0.818749 | − | 0.574152i | \(-0.194668\pi\) | |||||||
\(770\) | 1.93255 | − | 0.378454i | 0.0696443 | − | 0.0136385i | ||||
\(771\) | 5.54733 | 0.199782 | ||||||||
\(772\) | −41.3407 | + | 16.8373i | −1.48789 | + | 0.605989i | ||||
\(773\) | −8.96827 | −0.322566 | −0.161283 | − | 0.986908i | \(-0.551563\pi\) | ||||
−0.161283 | + | 0.986908i | \(0.551563\pi\) | |||||||
\(774\) | −1.20781 | − | 6.16760i | −0.0434138 | − | 0.221690i | ||||
\(775\) | 40.3993 | 1.45118 | ||||||||
\(776\) | −14.4562 | + | 9.47440i | −0.518948 | + | 0.340111i | ||||
\(777\) | 2.47784 | 0.0888921 | ||||||||
\(778\) | 5.00378 | + | 25.5515i | 0.179394 | + | 0.916065i | ||||
\(779\) | 34.7716 | 1.24582 | ||||||||
\(780\) | 1.10975 | − | 0.451982i | 0.0397355 | − | 0.0161835i | ||||
\(781\) | 0.213122i | 0.00762611i | ||||||||
\(782\) | 0.507247 | − | 0.0993349i | 0.0181391 | − | 0.00355221i | ||||
\(783\) | −9.00503 | −0.321813 | ||||||||
\(784\) | −9.91404 | + | 9.68158i | −0.354073 | + | 0.345771i | ||||
\(785\) | − | 2.11635i | − | 0.0755358i | ||||||
\(786\) | 12.1351 | − | 2.37643i | 0.432844 | − | 0.0847643i | ||||
\(787\) | −38.5330 | −1.37355 | −0.686777 | − | 0.726868i | \(-0.740975\pi\) | ||||
−0.686777 | + | 0.726868i | \(0.740975\pi\) | |||||||
\(788\) | −16.3913 | − | 40.2457i | −0.583917 | − | 1.43369i | ||||
\(789\) | 19.4297i | 0.691714i | ||||||||
\(790\) | 3.45560 | − | 0.676714i | 0.122945 | − | 0.0240764i | ||||
\(791\) | 24.3171i | 0.864618i | ||||||||
\(792\) | −3.82996 | − | 5.84383i | −0.136092 | − | 0.207651i | ||||
\(793\) | 18.1091 | 0.643073 | ||||||||
\(794\) | −0.535469 | − | 2.73434i | −0.0190031 | − | 0.0970380i | ||||
\(795\) | −0.297068 | −0.0105359 | ||||||||
\(796\) | −15.8166 | − | 38.8345i | −0.560604 | − | 1.37645i | ||||
\(797\) | −20.0925 | −0.711712 | −0.355856 | − | 0.934541i | \(-0.615811\pi\) | ||||
−0.355856 | + | 0.934541i | \(0.615811\pi\) | |||||||
\(798\) | 13.6032 | − | 2.66393i | 0.481548 | − | 0.0943021i | ||||
\(799\) | − | 1.13687i | − | 0.0402197i | ||||||
\(800\) | −22.8635 | − | 15.7722i | −0.808346 | − | 0.557631i | ||||
\(801\) | 14.5391 | 0.513714 | ||||||||
\(802\) | −22.0267 | + | 4.31352i | −0.777791 | + | 0.152316i | ||||
\(803\) | −4.71850 | −0.166512 | ||||||||
\(804\) | 11.1590 | + | 11.9781i | 0.393549 | + | 0.422436i | ||||
\(805\) | 0.455402 | 0.0160508 | ||||||||
\(806\) | −22.8216 | + | 4.46917i | −0.803855 | + | 0.157420i | ||||
\(807\) | −5.13142 | −0.180635 | ||||||||
\(808\) | −39.1488 | + | 25.6576i | −1.37725 | + | 0.902630i | ||||
\(809\) | 20.3847i | 0.716689i | 0.933589 | + | 0.358345i | \(0.116659\pi\) | ||||
−0.933589 | + | 0.358345i | \(0.883341\pi\) | |||||||
\(810\) | 0.416048 | − | 0.0814753i | 0.0146184 | − | 0.00286275i | ||||
\(811\) | −42.9116 | −1.50683 | −0.753415 | − | 0.657546i | \(-0.771595\pi\) | ||||
−0.753415 | + | 0.657546i | \(0.771595\pi\) | |||||||
\(812\) | 31.3636 | − | 12.7738i | 1.10065 | − | 0.448274i | ||||
\(813\) | −4.15615 | −0.145762 | ||||||||
\(814\) | 0.884728 | + | 4.51781i | 0.0310097 | + | 0.158349i | ||||
\(815\) | −5.76864 | −0.202067 | ||||||||
\(816\) | −1.29466 | + | 1.26430i | −0.0453222 | + | 0.0442595i | ||||
\(817\) | 23.1650i | 0.810441i | ||||||||
\(818\) | −30.2009 | + | 5.91429i | −1.05595 | + | 0.206788i | ||||
\(819\) | 3.75803i | 0.131316i | ||||||||
\(820\) | −3.70398 | + | 1.50856i | −0.129349 | + | 0.0526814i | ||||
\(821\) | 34.9629 | 1.22021 | 0.610107 | − | 0.792319i | \(-0.291127\pi\) | ||||
0.610107 | + | 0.792319i | \(0.291127\pi\) | |||||||
\(822\) | −22.8661 | + | 4.47789i | −0.797546 | + | 0.156184i | ||||
\(823\) | − | 28.3173i | − | 0.987078i | −0.869724 | − | 0.493539i | \(-0.835703\pi\) | ||
0.869724 | − | 0.493539i | \(-0.164297\pi\) | |||||||
\(824\) | −2.97748 | + | 1.95140i | −0.103725 | + | 0.0679801i | ||||
\(825\) | 12.1295 | 0.422294 | ||||||||
\(826\) | 19.7291 | − | 3.86357i | 0.686462 | − | 0.134431i | ||||
\(827\) | − | 8.59099i | − | 0.298738i | −0.988782 | − | 0.149369i | \(-0.952276\pi\) | ||
0.988782 | − | 0.149369i | \(-0.0477242\pi\) | |||||||
\(828\) | −0.609474 | − | 1.49644i | −0.0211807 | − | 0.0520050i | ||||
\(829\) | −0.421427 | −0.0146368 | −0.00731839 | − | 0.999973i | \(-0.502330\pi\) | ||||
−0.00731839 | + | 0.999973i | \(0.502330\pi\) | |||||||
\(830\) | −0.0673849 | − | 0.344097i | −0.00233897 | − | 0.0119438i | ||||
\(831\) | −0.861448 | −0.0298833 | ||||||||
\(832\) | 14.6604 | + | 6.38045i | 0.508258 | + | 0.221202i | ||||
\(833\) | −1.56724 | −0.0543015 | ||||||||
\(834\) | 3.74655 | + | 19.1315i | 0.129732 | + | 0.662470i | ||||
\(835\) | 3.98353 | 0.137856 | ||||||||
\(836\) | 9.71420 | + | 23.8513i | 0.335973 | + | 0.824914i | ||||
\(837\) | −8.22773 | −0.284392 | ||||||||
\(838\) | 11.1236 | − | 2.17836i | 0.384260 | − | 0.0752500i | ||||
\(839\) | 32.5697i | 1.12443i | 0.826991 | + | 0.562215i | \(0.190051\pi\) | ||||
−0.826991 | + | 0.562215i | \(0.809949\pi\) | |||||||
\(840\) | −1.33348 | + | 0.873945i | −0.0460095 | + | 0.0301540i | ||||
\(841\) | 52.0905 | 1.79622 | ||||||||
\(842\) | −3.55287 | − | 18.1425i | −0.122440 | − | 0.625232i | ||||
\(843\) | 12.5745i | 0.433090i | ||||||||
\(844\) | 5.26286 | + | 12.9219i | 0.181155 | + | 0.444790i | ||||
\(845\) | 2.69971i | 0.0928727i | ||||||||
\(846\) | −3.48767 | + | 0.682996i | −0.119909 | + | 0.0234819i | ||||
\(847\) | 9.20925 | 0.316434 | ||||||||
\(848\) | −2.76941 | − | 2.83590i | −0.0951018 | − | 0.0973852i | ||||
\(849\) | 11.4059i | 0.391451i | ||||||||
\(850\) | −0.603724 | − | 3.08288i | −0.0207076 | − | 0.105742i | ||||
\(851\) | 1.06461i | 0.0364945i | ||||||||
\(852\) | −0.0650845 | − | 0.159802i | −0.00222976 | − | 0.00547473i | ||||
\(853\) | −29.1301 | −0.997395 | −0.498697 | − | 0.866776i | \(-0.666188\pi\) | ||||
−0.498697 | + | 0.866776i | \(0.666188\pi\) | |||||||
\(854\) | −23.6459 | + | 4.63061i | −0.809147 | + | 0.158456i | ||||
\(855\) | −1.56264 | −0.0534413 | ||||||||
\(856\) | 27.0153 | − | 17.7054i | 0.923364 | − | 0.605160i | ||||
\(857\) | 4.30550i | 0.147073i | 0.997293 | + | 0.0735365i | \(0.0234285\pi\) | ||||
−0.997293 | + | 0.0735365i | \(0.976571\pi\) | |||||||
\(858\) | −6.85195 | + | 1.34183i | −0.233922 | + | 0.0458092i | ||||
\(859\) | − | 20.2428i | − | 0.690674i | −0.938479 | − | 0.345337i | \(-0.887765\pi\) | ||
0.938479 | − | 0.345337i | \(-0.112235\pi\) | |||||||
\(860\) | −1.00501 | − | 2.46761i | −0.0342707 | − | 0.0841449i | ||||
\(861\) | − | 12.5431i | − | 0.427466i | ||||||
\(862\) | 15.5851 | − | 3.05206i | 0.530832 | − | 0.103953i | ||||
\(863\) | − | 10.5530i | − | 0.359229i | −0.983737 | − | 0.179615i | \(-0.942515\pi\) | ||
0.983737 | − | 0.179615i | \(-0.0574851\pi\) | |||||||
\(864\) | 4.65639 | + | 3.21217i | 0.158413 | + | 0.109280i | ||||
\(865\) | − | 5.61763i | − | 0.191005i | ||||||
\(866\) | −52.6085 | + | 10.3024i | −1.78771 | + | 0.350089i | ||||
\(867\) | 16.7953 | 0.570400 | ||||||||
\(868\) | 28.6564 | − | 11.6712i | 0.972661 | − | 0.396147i | ||||
\(869\) | −20.5177 | −0.696015 | ||||||||
\(870\) | −3.74653 | + | 0.733687i | −0.127019 | + | 0.0248743i | ||||
\(871\) | 15.2917 | − | 5.81252i | 0.518138 | − | 0.196950i | ||||
\(872\) | −14.6852 | + | 9.62447i | −0.497303 | + | 0.325926i | ||||
\(873\) | 6.11092i | 0.206823i | ||||||||
\(874\) | 1.14457 | + | 5.84466i | 0.0387156 | + | 0.197699i | ||||
\(875\) | − | 5.58622i | − | 0.188849i | ||||||
\(876\) | 3.53801 | − | 1.44097i | 0.119538 | − | 0.0486857i | ||||
\(877\) | −9.53396 | −0.321939 | −0.160969 | − | 0.986959i | \(-0.551462\pi\) | ||||
−0.160969 | + | 0.986959i | \(0.551462\pi\) | |||||||
\(878\) | −23.0230 | + | 4.50862i | −0.776988 | + | 0.152159i | ||||
\(879\) | 10.9531 | 0.369440 | ||||||||
\(880\) | −2.06958 | − | 2.11927i | −0.0697654 | − | 0.0714405i | ||||
\(881\) | −10.0837 | −0.339728 | −0.169864 | − | 0.985467i | \(-0.554333\pi\) | ||||
−0.169864 | + | 0.985467i | \(0.554333\pi\) | |||||||
\(882\) | 0.941543 | + | 4.80793i | 0.0317034 | + | 0.161891i | ||||
\(883\) | 23.6688 | 0.796520 | 0.398260 | − | 0.917273i | \(-0.369614\pi\) | ||||
0.398260 | + | 0.917273i | \(0.369614\pi\) | |||||||
\(884\) | 0.682088 | + | 1.67473i | 0.0229411 | + | 0.0563273i | ||||
\(885\) | −2.26634 | −0.0761823 | ||||||||
\(886\) | −5.48419 | − | 28.0047i | −0.184245 | − | 0.940836i | ||||
\(887\) | 54.6211i | 1.83400i | 0.398890 | + | 0.916999i | \(0.369395\pi\) | ||||
−0.398890 | + | 0.916999i | \(0.630605\pi\) | |||||||
\(888\) | −2.04306 | − | 3.11734i | −0.0685606 | − | 0.104611i | ||||
\(889\) | 2.21646i | 0.0743377i | ||||||||
\(890\) | 6.04897 | − | 1.18458i | 0.202762 | − | 0.0397071i | ||||
\(891\) | −2.47030 | −0.0827581 | ||||||||
\(892\) | 20.4053 | + | 50.1011i | 0.683219 | + | 1.67751i | ||||
\(893\) | 13.0994 | 0.438355 | ||||||||
\(894\) | 1.18353 | + | 6.04361i | 0.0395831 | + | 0.202129i | ||||
\(895\) | 0.209349i | 0.00699777i | ||||||||
\(896\) | −20.7743 | − | 4.58250i | −0.694020 | − | 0.153091i | ||||
\(897\) | −1.61465 | −0.0539116 | ||||||||
\(898\) | −4.62392 | − | 23.6118i | −0.154302 | − | 0.787935i | ||||
\(899\) | 74.0909 | 2.47107 | ||||||||
\(900\) | −9.09487 | + | 3.70418i | −0.303162 | + | 0.123473i | ||||
\(901\) | − | 0.448306i | − | 0.0149353i | ||||||
\(902\) | 22.8695 | − | 4.47857i | 0.761472 | − | 0.149120i | ||||
\(903\) | 8.35625 | 0.278078 | ||||||||
\(904\) | 30.5930 | − | 20.0502i | 1.01751 | − | 0.666861i | ||||
\(905\) | 0.418311i | 0.0139051i | ||||||||
\(906\) | −9.67332 | + | 1.89434i | −0.321374 | + | 0.0629352i | ||||
\(907\) | − | 19.8827i | − | 0.660195i | −0.943947 | − | 0.330097i | \(-0.892918\pi\) | ||
0.943947 | − | 0.330097i | \(-0.107082\pi\) | |||||||
\(908\) | −8.33922 | − | 20.4753i | −0.276747 | − | 0.679497i | ||||
\(909\) | 16.5489i | 0.548894i | ||||||||
\(910\) | 0.306186 | + | 1.56352i | 0.0101500 | + | 0.0518302i | ||||
\(911\) | 28.2974i | 0.937534i | 0.883322 | + | 0.468767i | \(0.155302\pi\) | ||||
−0.883322 | + | 0.468767i | \(0.844698\pi\) | |||||||
\(912\) | −14.5677 | − | 14.9175i | −0.482385 | − | 0.493967i | ||||
\(913\) | 2.04308i | 0.0676162i | ||||||||
\(914\) | 2.88548 | + | 14.7345i | 0.0954431 | + | 0.487374i | ||||
\(915\) | 2.71629 | 0.0897976 | ||||||||
\(916\) | −8.96388 | − | 22.0090i | −0.296175 | − | 0.727199i | ||||
\(917\) | 16.4413i | 0.542941i | ||||||||
\(918\) | 0.122955 | + | 0.627860i | 0.00405811 | + | 0.0207225i | ||||
\(919\) | −48.3093 | −1.59358 | −0.796788 | − | 0.604259i | \(-0.793469\pi\) | ||||
−0.796788 | + | 0.604259i | \(0.793469\pi\) | |||||||
\(920\) | −0.375494 | − | 0.572935i | −0.0123797 | − | 0.0188891i | ||||
\(921\) | 5.44353i | 0.179371i | ||||||||
\(922\) | −7.20608 | − | 36.7974i | −0.237320 | − | 1.21186i | ||||
\(923\) | −0.172425 | −0.00567545 | ||||||||
\(924\) | 8.60380 | − | 3.50417i | 0.283044 | − | 0.115279i | ||||
\(925\) | 6.47037 | 0.212744 | ||||||||
\(926\) | −1.86831 | − | 9.54041i | −0.0613965 | − | 0.313517i | ||||
\(927\) | 1.25864i | 0.0413390i | ||||||||
\(928\) | −41.9309 | − | 28.9257i | −1.37645 | − | 0.949533i | ||||
\(929\) | 12.6757i | 0.415875i | 0.978142 | + | 0.207937i | \(0.0666750\pi\) | ||||
−0.978142 | + | 0.207937i | \(0.933325\pi\) | |||||||
\(930\) | −3.42313 | + | 0.670357i | −0.112249 | + | 0.0219819i | ||||
\(931\) | − | 18.0582i | − | 0.591833i | ||||||
\(932\) | 4.05963 | + | 9.96762i | 0.132978 | + | 0.326500i | ||||
\(933\) | 25.9978 | 0.851128 | ||||||||
\(934\) | −36.8423 | + | 7.21488i | −1.20552 | + | 0.236078i | ||||
\(935\) | − | 0.335019i | − | 0.0109563i | ||||||
\(936\) | 4.72792 | − | 3.09861i | 0.154537 | − | 0.101281i | ||||
\(937\) | − | 32.8569i | − | 1.07339i | −0.843777 | − | 0.536694i | \(-0.819673\pi\) | ||
0.843777 | − | 0.536694i | \(-0.180327\pi\) | |||||||
\(938\) | −18.4807 | + | 11.4999i | −0.603418 | + | 0.375484i | ||||
\(939\) | − | 10.3628i | − | 0.338177i | ||||||
\(940\) | −1.39539 | + | 0.568318i | −0.0455127 | + | 0.0185365i | ||||
\(941\) | 36.8088i | 1.19993i | 0.800025 | + | 0.599966i | \(0.204819\pi\) | ||||
−0.800025 | + | 0.599966i | \(0.795181\pi\) | |||||||
\(942\) | −1.91872 | − | 9.79784i | −0.0625154 | − | 0.319231i | ||||
\(943\) | 5.38917 | 0.175495 | ||||||||
\(944\) | −21.1279 | − | 21.6352i | −0.687656 | − | 0.704166i | ||||
\(945\) | 0.563688i | 0.0183368i | ||||||||
\(946\) | 2.98365 | + | 15.2358i | 0.0970068 | + | 0.495359i | ||||
\(947\) | − | 40.6020i | − | 1.31939i | −0.751534 | − | 0.659695i | \(-0.770686\pi\) | ||
0.751534 | − | 0.659695i | \(-0.229314\pi\) | |||||||
\(948\) | 15.3845 | − | 6.26582i | 0.499665 | − | 0.203504i | ||||
\(949\) | − | 3.81748i | − | 0.123921i | ||||||
\(950\) | 35.5219 | − | 6.95629i | 1.15248 | − | 0.225692i | ||||
\(951\) | 16.5470 | 0.536575 | ||||||||
\(952\) | −1.31887 | − | 2.01236i | −0.0427449 | − | 0.0652211i | ||||
\(953\) | 9.13641 | 0.295957 | 0.147979 | − | 0.988991i | \(-0.452723\pi\) | ||||
0.147979 | + | 0.988991i | \(0.452723\pi\) | |||||||
\(954\) | −1.37530 | + | 0.269327i | −0.0445271 | + | 0.00871979i | ||||
\(955\) | − | 2.24504i | − | 0.0726477i | ||||||
\(956\) | −26.7420 | + | 10.8915i | −0.864900 | + | 0.352258i | ||||
\(957\) | 22.2451 | 0.719082 | ||||||||
\(958\) | −29.3445 | + | 5.74657i | −0.948077 | + | 0.185663i | ||||
\(959\) | − | 30.9804i | − | 1.00041i | ||||||
\(960\) | 2.19899 | + | 0.957039i | 0.0709722 | + | 0.0308883i | ||||
\(961\) | 36.6956 | 1.18373 | ||||||||
\(962\) | −3.65511 | + | 0.715785i | −0.117846 | + | 0.0230778i | ||||
\(963\) | − | 11.4199i | − | 0.368000i | ||||||
\(964\) | 13.0065 | − | 5.29733i | 0.418912 | − | 0.170615i | ||||
\(965\) | 6.69076i | 0.215383i | ||||||||
\(966\) | 2.10833 | − | 0.412876i | 0.0678343 | − | 0.0132841i | ||||
\(967\) | 47.9005i | 1.54037i | 0.637818 | + | 0.770187i | \(0.279837\pi\) | ||||
−0.637818 | + | 0.770187i | \(0.720163\pi\) | |||||||
\(968\) | −7.59332 | − | 11.5860i | −0.244058 | − | 0.372389i | ||||
\(969\) | − | 2.35819i | − | 0.0757561i | ||||||
\(970\) | 0.497889 | + | 2.54244i | 0.0159862 | + | 0.0816327i | ||||
\(971\) | − | 11.1845i | − | 0.358927i | −0.983765 | − | 0.179463i | \(-0.942564\pi\) | ||
0.983765 | − | 0.179463i | \(-0.0574361\pi\) | |||||||
\(972\) | 1.85227 | − | 0.754394i | 0.0594115 | − | 0.0241972i | ||||
\(973\) | −25.9205 | −0.830975 | ||||||||
\(974\) | 1.73431 | + | 8.85613i | 0.0555708 | + | 0.283769i | ||||
\(975\) | 9.81330i | 0.314277i | ||||||||
\(976\) | 25.3225 | + | 25.9305i | 0.810554 | + | 0.830015i | ||||
\(977\) | 46.6725 | 1.49319 | 0.746593 | − | 0.665281i | \(-0.231688\pi\) | ||||
0.746593 | + | 0.665281i | \(0.231688\pi\) | |||||||
\(978\) | −26.7064 | + | 5.22995i | −0.853977 | + | 0.167236i | ||||
\(979\) | −35.9159 | −1.14788 | ||||||||
\(980\) | 0.783454 | + | 1.92362i | 0.0250265 | + | 0.0614477i | ||||
\(981\) | 6.20771i | 0.198197i | ||||||||
\(982\) | 40.6434 | − | 7.95925i | 1.29698 | − | 0.253990i | ||||
\(983\) | −21.7762 | −0.694552 | −0.347276 | − | 0.937763i | \(-0.612893\pi\) | ||||
−0.347276 | + | 0.937763i | \(0.612893\pi\) | |||||||
\(984\) | −15.7802 | + | 10.3421i | −0.503055 | + | 0.329695i | ||||
\(985\) | −6.51353 | −0.207538 | ||||||||
\(986\) | −1.10721 | − | 5.65390i | −0.0352608 | − | 0.180057i | ||||
\(987\) | − | 4.72531i | − | 0.150408i | ||||||
\(988\) | −19.2968 | + | 7.85923i | −0.613912 | + | 0.250035i | ||||
\(989\) | 3.59029i | 0.114165i | ||||||||
\(990\) | −1.02776 | + | 0.201268i | −0.0326644 | + | 0.00639672i | ||||
\(991\) | −41.2891 | −1.31159 | −0.655796 | − | 0.754938i | \(-0.727667\pi\) | ||||
−0.655796 | + | 0.754938i | \(0.727667\pi\) | |||||||
\(992\) | −38.3115 | − | 26.4289i | −1.21639 | − | 0.839119i | ||||
\(993\) | −5.88317 | −0.186697 | ||||||||
\(994\) | 0.225144 | − | 0.0440903i | 0.00714114 | − | 0.00139846i | ||||
\(995\) | −6.28514 | −0.199252 | ||||||||
\(996\) | −0.623929 | − | 1.53194i | −0.0197700 | − | 0.0485412i | ||||
\(997\) | −49.6290 | −1.57177 | −0.785884 | − | 0.618375i | \(-0.787792\pi\) | ||||
−0.785884 | + | 0.618375i | \(0.787792\pi\) | |||||||
\(998\) | −10.9318 | − | 55.8224i | −0.346039 | − | 1.76703i | ||||
\(999\) | −1.31776 | −0.0416920 |
(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.535.15 | ✓ | 34 | |
4.3 | odd | 2 | 804.2.e.b.535.19 | yes | 34 | ||
67.66 | odd | 2 | 804.2.e.b.535.20 | yes | 34 | ||
268.267 | even | 2 | inner | 804.2.e.a.535.16 | yes | 34 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
804.2.e.a.535.15 | ✓ | 34 | 1.1 | even | 1 | trivial | |
804.2.e.a.535.16 | yes | 34 | 268.267 | even | 2 | inner | |
804.2.e.b.535.19 | yes | 34 | 4.3 | odd | 2 | ||
804.2.e.b.535.20 | yes | 34 | 67.66 | odd | 2 |