Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(64,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.64");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.q (of order \(11\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Coefficient field: | \(\Q(\zeta_{22})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - x^{9} + x^{8} - x^{7} + x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 358.1 | ||
Root | \(-0.841254 + 0.540641i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 483.358 |
Dual form | 483.2.q.a.85.1 |
$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{7}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.64589 | + | 1.89945i | 1.16382 | + | 1.34312i | 0.928560 | + | 0.371183i | \(0.121048\pi\) |
0.235257 | + | 0.971933i | \(0.424407\pi\) | |||||||
\(3\) | 0.841254 | + | 0.540641i | 0.485698 | + | 0.312139i | ||||
\(4\) | −0.614354 | + | 4.27292i | −0.307177 | + | 2.13646i | ||||
\(5\) | −0.415415 | + | 0.909632i | −0.185779 | + | 0.406800i | −0.979489 | − | 0.201497i | \(-0.935420\pi\) |
0.793710 | + | 0.608296i | \(0.208147\pi\) | |||||||
\(6\) | 0.357685 | + | 2.48775i | 0.146024 | + | 1.01562i | ||||
\(7\) | −0.959493 | − | 0.281733i | −0.362654 | − | 0.106485i | ||||
\(8\) | −4.89867 | + | 3.14818i | −1.73194 | + | 1.11305i | ||||
\(9\) | 0.415415 | + | 0.909632i | 0.138472 | + | 0.303211i | ||||
\(10\) | −2.41153 | + | 0.708089i | −0.762593 | + | 0.223917i | ||||
\(11\) | 0.0756100 | − | 0.0872586i | 0.0227973 | − | 0.0263095i | −0.744236 | − | 0.667916i | \(-0.767186\pi\) |
0.767034 | + | 0.641607i | \(0.221732\pi\) | |||||||
\(12\) | −2.82694 | + | 3.26247i | −0.816069 | + | 0.941793i | ||||
\(13\) | 1.24690 | − | 0.366124i | 0.345828 | − | 0.101544i | −0.104206 | − | 0.994556i | \(-0.533230\pi\) |
0.450034 | + | 0.893011i | \(0.351412\pi\) | |||||||
\(14\) | −1.04408 | − | 2.28621i | −0.279042 | − | 0.611016i | ||||
\(15\) | −0.841254 | + | 0.540641i | −0.217211 | + | 0.139593i | ||||
\(16\) | −5.75848 | − | 1.69084i | −1.43962 | − | 0.422710i | ||||
\(17\) | −0.556939 | − | 3.87359i | −0.135077 | − | 0.939484i | −0.938796 | − | 0.344474i | \(-0.888057\pi\) |
0.803718 | − | 0.595010i | \(-0.202852\pi\) | |||||||
\(18\) | −1.04408 | + | 2.28621i | −0.246092 | + | 0.538865i | ||||
\(19\) | 0.195368 | − | 1.35881i | 0.0448204 | − | 0.311733i | −0.955062 | − | 0.296406i | \(-0.904212\pi\) |
0.999883 | − | 0.0153272i | \(-0.00487899\pi\) | |||||||
\(20\) | −3.63158 | − | 2.33387i | −0.812045 | − | 0.521870i | ||||
\(21\) | −0.654861 | − | 0.755750i | −0.142902 | − | 0.164918i | ||||
\(22\) | 0.290189 | 0.0618685 | ||||||||
\(23\) | 4.67421 | − | 1.07322i | 0.974639 | − | 0.223782i | ||||
\(24\) | −5.82306 | −1.18863 | ||||||||
\(25\) | 2.61944 | + | 3.02300i | 0.523889 | + | 0.604600i | ||||
\(26\) | 2.74769 | + | 1.76584i | 0.538867 | + | 0.346309i | ||||
\(27\) | −0.142315 | + | 0.989821i | −0.0273885 | + | 0.190491i | ||||
\(28\) | 1.79329 | − | 3.92676i | 0.338900 | − | 0.742087i | ||||
\(29\) | 0.291772 | + | 2.02932i | 0.0541806 | + | 0.376834i | 0.998813 | + | 0.0487046i | \(0.0155093\pi\) |
−0.944633 | + | 0.328130i | \(0.893582\pi\) | |||||||
\(30\) | −2.41153 | − | 0.708089i | −0.440283 | − | 0.129279i | ||||
\(31\) | −4.96496 | + | 3.19079i | −0.891733 | + | 0.573082i | −0.904328 | − | 0.426838i | \(-0.859627\pi\) |
0.0125945 | + | 0.999921i | \(0.495991\pi\) | |||||||
\(32\) | −1.42815 | − | 3.12721i | −0.252463 | − | 0.552817i | ||||
\(33\) | 0.110783 | − | 0.0325288i | 0.0192848 | − | 0.00566253i | ||||
\(34\) | 6.44105 | − | 7.43337i | 1.10463 | − | 1.27481i | ||||
\(35\) | 0.654861 | − | 0.755750i | 0.110692 | − | 0.127745i | ||||
\(36\) | −4.14200 | + | 1.21620i | −0.690333 | + | 0.202700i | ||||
\(37\) | 0.215215 | + | 0.471255i | 0.0353811 | + | 0.0774738i | 0.926497 | − | 0.376301i | \(-0.122804\pi\) |
−0.891116 | + | 0.453775i | \(0.850077\pi\) | |||||||
\(38\) | 2.90255 | − | 1.86536i | 0.470856 | − | 0.302601i | ||||
\(39\) | 1.24690 | + | 0.366124i | 0.199664 | + | 0.0586267i | ||||
\(40\) | −0.828708 | − | 5.76379i | −0.131030 | − | 0.911335i | ||||
\(41\) | 3.90875 | − | 8.55897i | 0.610444 | − | 1.33669i | −0.311826 | − | 0.950139i | \(-0.600940\pi\) |
0.922270 | − | 0.386547i | \(-0.126332\pi\) | |||||||
\(42\) | 0.357685 | − | 2.48775i | 0.0551920 | − | 0.383869i | ||||
\(43\) | −5.54386 | − | 3.56282i | −0.845431 | − | 0.543325i | 0.0447157 | − | 0.999000i | \(-0.485762\pi\) |
−0.890147 | + | 0.455674i | \(0.849398\pi\) | |||||||
\(44\) | 0.326398 | + | 0.376684i | 0.0492064 | + | 0.0567872i | ||||
\(45\) | −1.00000 | −0.149071 | ||||||||
\(46\) | 9.73174 | + | 7.11204i | 1.43487 | + | 1.04861i | ||||
\(47\) | 5.90055 | 0.860683 | 0.430342 | − | 0.902666i | \(-0.358393\pi\) | ||||
0.430342 | + | 0.902666i | \(0.358393\pi\) | |||||||
\(48\) | −3.93020 | − | 4.53569i | −0.567276 | − | 0.654671i | ||||
\(49\) | 0.841254 | + | 0.540641i | 0.120179 | + | 0.0772344i | ||||
\(50\) | −1.43074 | + | 9.95102i | −0.202337 | + | 1.40729i | ||||
\(51\) | 1.62570 | − | 3.55978i | 0.227643 | − | 0.498469i | ||||
\(52\) | 0.798379 | + | 5.55285i | 0.110715 | + | 0.770042i | ||||
\(53\) | −4.20482 | − | 1.23465i | −0.577576 | − | 0.169592i | −0.0201194 | − | 0.999798i | \(-0.506405\pi\) |
−0.557457 | + | 0.830206i | \(0.688223\pi\) | |||||||
\(54\) | −2.11435 | + | 1.35881i | −0.287727 | + | 0.184911i | ||||
\(55\) | 0.0479637 | + | 0.105026i | 0.00646742 | + | 0.0141617i | ||||
\(56\) | 5.58718 | − | 1.64055i | 0.746619 | − | 0.219227i | ||||
\(57\) | 0.898983 | − | 1.03748i | 0.119073 | − | 0.137418i | ||||
\(58\) | −3.37437 | + | 3.89423i | −0.443076 | + | 0.511337i | ||||
\(59\) | 3.46155 | − | 1.01640i | 0.450655 | − | 0.132324i | −0.0485262 | − | 0.998822i | \(-0.515452\pi\) |
0.499181 | + | 0.866498i | \(0.333634\pi\) | |||||||
\(60\) | −1.79329 | − | 3.92676i | −0.231513 | − | 0.506942i | ||||
\(61\) | 4.23338 | − | 2.72063i | 0.542029 | − | 0.348341i | −0.240803 | − | 0.970574i | \(-0.577411\pi\) |
0.782832 | + | 0.622233i | \(0.213774\pi\) | |||||||
\(62\) | −14.2325 | − | 4.17904i | −1.80753 | − | 0.530739i | ||||
\(63\) | −0.142315 | − | 0.989821i | −0.0179300 | − | 0.124706i | ||||
\(64\) | −1.39688 | + | 3.05874i | −0.174610 | + | 0.382342i | ||||
\(65\) | −0.184944 | + | 1.28632i | −0.0229395 | + | 0.159548i | ||||
\(66\) | 0.244123 | + | 0.156888i | 0.0300494 | + | 0.0193116i | ||||
\(67\) | 9.18262 | + | 10.5973i | 1.12184 | + | 1.29467i | 0.950939 | + | 0.309378i | \(0.100121\pi\) |
0.170897 | + | 0.985289i | \(0.445334\pi\) | |||||||
\(68\) | 16.8937 | 2.04867 | ||||||||
\(69\) | 4.51242 | + | 1.62422i | 0.543231 | + | 0.195533i | ||||
\(70\) | 2.51334 | 0.300401 | ||||||||
\(71\) | −6.24539 | − | 7.20756i | −0.741191 | − | 0.855381i | 0.252492 | − | 0.967599i | \(-0.418750\pi\) |
−0.993684 | + | 0.112218i | \(0.964204\pi\) | |||||||
\(72\) | −4.89867 | − | 3.14818i | −0.577314 | − | 0.371017i | ||||
\(73\) | −0.0848998 | + | 0.590491i | −0.00993677 | + | 0.0691117i | −0.994186 | − | 0.107672i | \(-0.965660\pi\) |
0.984250 | + | 0.176784i | \(0.0565694\pi\) | |||||||
\(74\) | −0.540908 | + | 1.18442i | −0.0628792 | + | 0.137686i | ||||
\(75\) | 0.569259 | + | 3.95929i | 0.0657324 | + | 0.457179i | ||||
\(76\) | 5.68608 | + | 1.66958i | 0.652238 | + | 0.191514i | ||||
\(77\) | −0.0971309 | + | 0.0624222i | −0.0110691 | + | 0.00711367i | ||||
\(78\) | 1.35682 | + | 2.97103i | 0.153630 | + | 0.336403i | ||||
\(79\) | −9.06631 | + | 2.66211i | −1.02004 | + | 0.299511i | −0.748655 | − | 0.662960i | \(-0.769300\pi\) |
−0.271385 | + | 0.962471i | \(0.587482\pi\) | |||||||
\(80\) | 3.93020 | − | 4.53569i | 0.439410 | − | 0.507106i | ||||
\(81\) | −0.654861 | + | 0.755750i | −0.0727623 | + | 0.0839722i | ||||
\(82\) | 22.6907 | − | 6.66260i | 2.50577 | − | 0.735761i | ||||
\(83\) | −5.33741 | − | 11.6873i | −0.585857 | − | 1.28285i | −0.937913 | − | 0.346869i | \(-0.887245\pi\) |
0.352056 | − | 0.935979i | \(-0.385483\pi\) | |||||||
\(84\) | 3.63158 | − | 2.33387i | 0.396237 | − | 0.254646i | ||||
\(85\) | 3.75491 | + | 1.10254i | 0.407277 | + | 0.119587i | ||||
\(86\) | −2.35715 | − | 16.3943i | −0.254177 | − | 1.76784i | ||||
\(87\) | −0.851677 | + | 1.86491i | −0.0913094 | + | 0.199940i | ||||
\(88\) | −0.0956823 | + | 0.665485i | −0.0101998 | + | 0.0709410i | ||||
\(89\) | −4.28379 | − | 2.75302i | −0.454080 | − | 0.291820i | 0.293539 | − | 0.955947i | \(-0.405167\pi\) |
−0.747619 | + | 0.664127i | \(0.768803\pi\) | |||||||
\(90\) | −1.64589 | − | 1.89945i | −0.173492 | − | 0.200220i | ||||
\(91\) | −1.29954 | −0.136229 | ||||||||
\(92\) | 1.71417 | + | 20.6319i | 0.178714 | + | 2.15102i | ||||
\(93\) | −5.90186 | −0.611994 | ||||||||
\(94\) | 9.71162 | + | 11.2078i | 1.00168 | + | 1.15600i | ||||
\(95\) | 1.15486 | + | 0.742184i | 0.118486 | + | 0.0761465i | ||||
\(96\) | 0.489262 | − | 3.40289i | 0.0499351 | − | 0.347306i | ||||
\(97\) | 3.21109 | − | 7.03130i | 0.326037 | − | 0.713921i | −0.673647 | − | 0.739053i | \(-0.735273\pi\) |
0.999684 | + | 0.0251321i | \(0.00800064\pi\) | |||||||
\(98\) | 0.357685 | + | 2.48775i | 0.0361317 | + | 0.251301i | ||||
\(99\) | 0.110783 | + | 0.0325288i | 0.0111341 | + | 0.00326926i | ||||
\(100\) | −14.5263 | + | 9.33549i | −1.45263 | + | 0.933549i | ||||
\(101\) | −3.42316 | − | 7.49569i | −0.340618 | − | 0.745849i | 0.659365 | − | 0.751823i | \(-0.270825\pi\) |
−0.999982 | + | 0.00597482i | \(0.998098\pi\) | |||||||
\(102\) | 9.43734 | − | 2.77105i | 0.934436 | − | 0.274375i | ||||
\(103\) | 4.73006 | − | 5.45879i | 0.466067 | − | 0.537870i | −0.473246 | − | 0.880930i | \(-0.656918\pi\) |
0.939313 | + | 0.343060i | \(0.111463\pi\) | |||||||
\(104\) | −4.95554 | + | 5.71900i | −0.485930 | + | 0.560794i | ||||
\(105\) | 0.959493 | − | 0.281733i | 0.0936369 | − | 0.0274943i | ||||
\(106\) | −4.57550 | − | 10.0189i | −0.444412 | − | 0.973126i | ||||
\(107\) | −5.16323 | + | 3.31821i | −0.499149 | + | 0.320783i | −0.765876 | − | 0.642989i | \(-0.777694\pi\) |
0.266727 | + | 0.963772i | \(0.414058\pi\) | |||||||
\(108\) | −4.14200 | − | 1.21620i | −0.398564 | − | 0.117029i | ||||
\(109\) | 0.827474 | + | 5.75521i | 0.0792576 | + | 0.551249i | 0.990301 | + | 0.138938i | \(0.0443690\pi\) |
−0.911043 | + | 0.412310i | \(0.864722\pi\) | |||||||
\(110\) | −0.120549 | + | 0.263965i | −0.0114939 | + | 0.0251681i | ||||
\(111\) | −0.0737293 | + | 0.512799i | −0.00699808 | + | 0.0486727i | ||||
\(112\) | 5.04885 | + | 3.24470i | 0.477072 | + | 0.306595i | ||||
\(113\) | −5.34625 | − | 6.16991i | −0.502933 | − | 0.580416i | 0.446342 | − | 0.894862i | \(-0.352727\pi\) |
−0.949275 | + | 0.314447i | \(0.898181\pi\) | |||||||
\(114\) | 3.45027 | 0.323148 | ||||||||
\(115\) | −0.965501 | + | 4.69764i | −0.0900334 | + | 0.438057i | ||||
\(116\) | −8.85036 | −0.821736 | ||||||||
\(117\) | 0.851020 | + | 0.982129i | 0.0786768 | + | 0.0907979i | ||||
\(118\) | 7.62792 | + | 4.90216i | 0.702207 | + | 0.451281i | ||||
\(119\) | −0.556939 | + | 3.87359i | −0.0510545 | + | 0.355092i | ||||
\(120\) | 2.41899 | − | 5.29684i | 0.220822 | − | 0.483533i | ||||
\(121\) | 1.56357 | + | 10.8748i | 0.142142 | + | 0.988622i | ||||
\(122\) | 12.1354 | + | 3.56327i | 1.09869 | + | 0.322603i | ||||
\(123\) | 7.91558 | − | 5.08703i | 0.713724 | − | 0.458682i | ||||
\(124\) | −10.5837 | − | 23.1752i | −0.950449 | − | 2.08119i | ||||
\(125\) | −8.63544 | + | 2.53559i | −0.772377 | + | 0.226790i | ||||
\(126\) | 1.64589 | − | 1.89945i | 0.146627 | − | 0.169217i | ||||
\(127\) | 1.70873 | − | 1.97198i | 0.151625 | − | 0.174985i | −0.674856 | − | 0.737950i | \(-0.735794\pi\) |
0.826481 | + | 0.562965i | \(0.190340\pi\) | |||||||
\(128\) | −14.7063 | + | 4.31815i | −1.29986 | + | 0.381674i | ||||
\(129\) | −2.73758 | − | 5.99447i | −0.241031 | − | 0.527784i | ||||
\(130\) | −2.74769 | + | 1.76584i | −0.240989 | + | 0.154874i | ||||
\(131\) | −17.0443 | − | 5.00465i | −1.48917 | − | 0.437259i | −0.566891 | − | 0.823793i | \(-0.691854\pi\) |
−0.922275 | + | 0.386534i | \(0.873672\pi\) | |||||||
\(132\) | 0.0709331 | + | 0.493351i | 0.00617393 | + | 0.0429407i | ||||
\(133\) | −0.570276 | + | 1.24873i | −0.0494492 | + | 0.108279i | ||||
\(134\) | −5.01555 | + | 34.8839i | −0.433278 | + | 3.01351i | ||||
\(135\) | −0.841254 | − | 0.540641i | −0.0724036 | − | 0.0465310i | ||||
\(136\) | 14.9230 | + | 17.2221i | 1.27964 | + | 1.47678i | ||||
\(137\) | 17.5508 | 1.49946 | 0.749732 | − | 0.661742i | \(-0.230183\pi\) | ||||
0.749732 | + | 0.661742i | \(0.230183\pi\) | |||||||
\(138\) | 4.34180 | + | 11.2444i | 0.369599 | + | 0.957187i | ||||
\(139\) | −3.89067 | −0.330002 | −0.165001 | − | 0.986293i | \(-0.552763\pi\) | ||||
−0.165001 | + | 0.986293i | \(0.552763\pi\) | |||||||
\(140\) | 2.82694 | + | 3.26247i | 0.238920 | + | 0.275729i | ||||
\(141\) | 4.96386 | + | 3.19008i | 0.418032 | + | 0.268653i | ||||
\(142\) | 3.41123 | − | 23.7257i | 0.286264 | − | 1.99101i | ||||
\(143\) | 0.0623309 | − | 0.136486i | 0.00521237 | − | 0.0114135i | ||||
\(144\) | −0.854114 | − | 5.94049i | −0.0711762 | − | 0.495041i | ||||
\(145\) | −1.96714 | − | 0.577603i | −0.163362 | − | 0.0479674i | ||||
\(146\) | −1.26135 | + | 0.810618i | −0.104390 | + | 0.0670872i | ||||
\(147\) | 0.415415 | + | 0.909632i | 0.0342629 | + | 0.0750252i | ||||
\(148\) | −2.14585 | + | 0.630080i | −0.176388 | + | 0.0517922i | ||||
\(149\) | 9.95176 | − | 11.4849i | 0.815280 | − | 0.940883i | −0.183835 | − | 0.982957i | \(-0.558851\pi\) |
0.999114 | + | 0.0420740i | \(0.0133965\pi\) | |||||||
\(150\) | −6.58354 | + | 7.59781i | −0.537544 | + | 0.620359i | ||||
\(151\) | −2.75686 | + | 0.809486i | −0.224350 | + | 0.0658750i | −0.391975 | − | 0.919976i | \(-0.628208\pi\) |
0.167626 | + | 0.985851i | \(0.446390\pi\) | |||||||
\(152\) | 3.32075 | + | 7.27143i | 0.269348 | + | 0.589791i | ||||
\(153\) | 3.29218 | − | 2.11576i | 0.266157 | − | 0.171049i | ||||
\(154\) | −0.278434 | − | 0.0817557i | −0.0224369 | − | 0.00658806i | ||||
\(155\) | −0.839922 | − | 5.84179i | −0.0674642 | − | 0.469224i | ||||
\(156\) | −2.33046 | + | 5.10299i | −0.186586 | + | 0.408566i | ||||
\(157\) | 0.0117213 | − | 0.0815234i | 0.000935461 | − | 0.00650628i | −0.989348 | − | 0.145567i | \(-0.953499\pi\) |
0.990284 | + | 0.139061i | \(0.0444084\pi\) | |||||||
\(158\) | −19.9787 | − | 12.8395i | −1.58942 | − | 1.02146i | ||||
\(159\) | −2.86982 | − | 3.31195i | −0.227591 | − | 0.262655i | ||||
\(160\) | 3.43788 | 0.271788 | ||||||||
\(161\) | −4.78723 | − | 0.287130i | −0.377286 | − | 0.0226290i | ||||
\(162\) | −2.51334 | −0.197466 | ||||||||
\(163\) | −0.152551 | − | 0.176054i | −0.0119487 | − | 0.0137896i | 0.749744 | − | 0.661728i | \(-0.230177\pi\) |
−0.761692 | + | 0.647939i | \(0.775631\pi\) | |||||||
\(164\) | 34.1705 | + | 21.9600i | 2.66826 | + | 1.71479i | ||||
\(165\) | −0.0164316 | + | 0.114284i | −0.00127920 | + | 0.00889704i | ||||
\(166\) | 13.4147 | − | 29.3741i | 1.04118 | − | 2.27987i | ||||
\(167\) | 3.59886 | + | 25.0306i | 0.278488 | + | 1.93693i | 0.343759 | + | 0.939058i | \(0.388300\pi\) |
−0.0652710 | + | 0.997868i | \(0.520791\pi\) | |||||||
\(168\) | 5.58718 | + | 1.64055i | 0.431061 | + | 0.126571i | ||||
\(169\) | −9.51558 | + | 6.11529i | −0.731967 | + | 0.470407i | ||||
\(170\) | 4.08592 | + | 8.94692i | 0.313376 | + | 0.686198i | ||||
\(171\) | 1.31718 | − | 0.386758i | 0.100727 | − | 0.0295762i | ||||
\(172\) | 18.6296 | − | 21.4997i | 1.42049 | − | 1.63933i | ||||
\(173\) | −0.859268 | + | 0.991648i | −0.0653289 | + | 0.0753936i | −0.787473 | − | 0.616349i | \(-0.788611\pi\) |
0.722144 | + | 0.691742i | \(0.243157\pi\) | |||||||
\(174\) | −4.94408 | + | 1.45171i | −0.374810 | + | 0.110054i | ||||
\(175\) | −1.66166 | − | 3.63853i | −0.125610 | − | 0.275047i | ||||
\(176\) | −0.582939 | + | 0.374632i | −0.0439407 | + | 0.0282390i | ||||
\(177\) | 3.46155 | + | 1.01640i | 0.260186 | + | 0.0763974i | ||||
\(178\) | −1.82138 | − | 12.6680i | −0.136519 | − | 0.949507i | ||||
\(179\) | −1.39145 | + | 3.04684i | −0.104002 | + | 0.227732i | −0.954478 | − | 0.298282i | \(-0.903587\pi\) |
0.850476 | + | 0.526013i | \(0.176314\pi\) | |||||||
\(180\) | 0.614354 | − | 4.27292i | 0.0457912 | − | 0.318485i | ||||
\(181\) | 12.1814 | + | 7.82850i | 0.905435 | + | 0.581888i | 0.908397 | − | 0.418108i | \(-0.137307\pi\) |
−0.00296228 | + | 0.999996i | \(0.500943\pi\) | |||||||
\(182\) | −2.13890 | − | 2.46842i | −0.158546 | − | 0.182972i | ||||
\(183\) | 5.03223 | 0.371993 | ||||||||
\(184\) | −19.5187 | + | 19.9726i | −1.43894 | + | 1.47240i | ||||
\(185\) | −0.518072 | −0.0380894 | ||||||||
\(186\) | −9.71379 | − | 11.2103i | −0.712250 | − | 0.821980i | ||||
\(187\) | −0.380115 | − | 0.244285i | −0.0277967 | − | 0.0178639i | ||||
\(188\) | −3.62502 | + | 25.2126i | −0.264382 | + | 1.83882i | ||||
\(189\) | 0.415415 | − | 0.909632i | 0.0302170 | − | 0.0661660i | ||||
\(190\) | 0.491025 | + | 3.41515i | 0.0356227 | + | 0.247761i | ||||
\(191\) | 9.03520 | + | 2.65297i | 0.653764 | + | 0.191962i | 0.591761 | − | 0.806113i | \(-0.298433\pi\) |
0.0620032 | + | 0.998076i | \(0.480251\pi\) | |||||||
\(192\) | −2.82881 | + | 1.81796i | −0.204151 | + | 0.131200i | ||||
\(193\) | −6.01797 | − | 13.1775i | −0.433183 | − | 0.948538i | −0.992800 | − | 0.119787i | \(-0.961779\pi\) |
0.559617 | − | 0.828752i | \(-0.310948\pi\) | |||||||
\(194\) | 18.6407 | − | 5.47341i | 1.33833 | − | 0.392968i | ||||
\(195\) | −0.851020 | + | 0.982129i | −0.0609428 | + | 0.0703317i | ||||
\(196\) | −2.82694 | + | 3.26247i | −0.201925 | + | 0.233033i | ||||
\(197\) | −21.6347 | + | 6.35252i | −1.54141 | + | 0.452599i | −0.938520 | − | 0.345226i | \(-0.887802\pi\) |
−0.602890 | + | 0.797825i | \(0.705984\pi\) | |||||||
\(198\) | 0.120549 | + | 0.263965i | 0.00856704 | + | 0.0187592i | ||||
\(199\) | 0.286448 | − | 0.184089i | 0.0203057 | − | 0.0130497i | −0.530449 | − | 0.847717i | \(-0.677976\pi\) |
0.550754 | + | 0.834667i | \(0.314340\pi\) | |||||||
\(200\) | −22.3487 | − | 6.56218i | −1.58029 | − | 0.464016i | ||||
\(201\) | 1.99557 | + | 13.8795i | 0.140757 | + | 0.978986i | ||||
\(202\) | 8.60357 | − | 18.8392i | 0.605345 | − | 1.32552i | ||||
\(203\) | 0.291772 | − | 2.02932i | 0.0204783 | − | 0.142430i | ||||
\(204\) | 14.2119 | + | 9.13344i | 0.995033 | + | 0.639469i | ||||
\(205\) | 6.16176 | + | 7.11105i | 0.430356 | + | 0.496657i | ||||
\(206\) | 18.1539 | 1.26484 | ||||||||
\(207\) | 2.91797 | + | 3.80598i | 0.202813 | + | 0.264534i | ||||
\(208\) | −7.79931 | −0.540785 | ||||||||
\(209\) | −0.103796 | − | 0.119787i | −0.00717974 | − | 0.00828587i | ||||
\(210\) | 2.11435 | + | 1.35881i | 0.145904 | + | 0.0937670i | ||||
\(211\) | 3.31980 | − | 23.0897i | 0.228545 | − | 1.58956i | −0.475701 | − | 0.879607i | \(-0.657806\pi\) |
0.704246 | − | 0.709956i | \(-0.251285\pi\) | |||||||
\(212\) | 7.85880 | − | 17.2084i | 0.539744 | − | 1.18188i | ||||
\(213\) | −1.35725 | − | 9.43990i | −0.0929974 | − | 0.646811i | ||||
\(214\) | −14.8009 | − | 4.34593i | −1.01177 | − | 0.297082i | ||||
\(215\) | 5.54386 | − | 3.56282i | 0.378088 | − | 0.242983i | ||||
\(216\) | −2.41899 | − | 5.29684i | −0.164591 | − | 0.360404i | ||||
\(217\) | 5.66279 | − | 1.66275i | 0.384415 | − | 0.112875i | ||||
\(218\) | −9.56982 | + | 11.0442i | −0.648150 | + | 0.748005i | ||||
\(219\) | −0.390666 | + | 0.450852i | −0.0263987 | + | 0.0304658i | ||||
\(220\) | −0.478234 | + | 0.140422i | −0.0322425 | + | 0.00946726i | ||||
\(221\) | −2.11266 | − | 4.62608i | −0.142113 | − | 0.311184i | ||||
\(222\) | −1.09539 | + | 0.703963i | −0.0735176 | + | 0.0472469i | ||||
\(223\) | −8.47992 | − | 2.48993i | −0.567858 | − | 0.166738i | −0.0148139 | − | 0.999890i | \(-0.504716\pi\) |
−0.553044 | + | 0.833152i | \(0.686534\pi\) | |||||||
\(224\) | 0.489262 | + | 3.40289i | 0.0326902 | + | 0.227365i | ||||
\(225\) | −1.66166 | + | 3.63853i | −0.110777 | + | 0.242569i | ||||
\(226\) | 2.92013 | − | 20.3099i | 0.194244 | − | 1.35100i | ||||
\(227\) | −22.5419 | − | 14.4868i | −1.49616 | − | 0.961522i | −0.995387 | − | 0.0959424i | \(-0.969414\pi\) |
−0.500771 | − | 0.865580i | \(-0.666950\pi\) | |||||||
\(228\) | 3.88079 | + | 4.47867i | 0.257011 | + | 0.296607i | ||||
\(229\) | −6.98558 | −0.461620 | −0.230810 | − | 0.972999i | \(-0.574138\pi\) | ||||
−0.230810 | + | 0.972999i | \(0.574138\pi\) | |||||||
\(230\) | −10.5121 | + | 5.89785i | −0.693144 | + | 0.388893i | ||||
\(231\) | −0.115460 | −0.00759669 | ||||||||
\(232\) | −7.81795 | − | 9.02239i | −0.513274 | − | 0.592349i | ||||
\(233\) | −4.69994 | − | 3.02047i | −0.307904 | − | 0.197878i | 0.377559 | − | 0.925986i | \(-0.376764\pi\) |
−0.685462 | + | 0.728108i | \(0.740400\pi\) | |||||||
\(234\) | −0.464827 | + | 3.23294i | −0.0303867 | + | 0.211344i | ||||
\(235\) | −2.45118 | + | 5.36733i | −0.159897 | + | 0.350126i | ||||
\(236\) | 2.21639 | + | 15.4154i | 0.144275 | + | 1.00345i | ||||
\(237\) | −9.06631 | − | 2.66211i | −0.588920 | − | 0.172923i | ||||
\(238\) | −8.27437 | + | 5.31761i | −0.536348 | + | 0.344690i | ||||
\(239\) | −6.86114 | − | 15.0238i | −0.443811 | − | 0.971810i | −0.990883 | − | 0.134724i | \(-0.956985\pi\) |
0.547073 | − | 0.837085i | \(-0.315742\pi\) | |||||||
\(240\) | 5.75848 | − | 1.69084i | 0.371708 | − | 0.109143i | ||||
\(241\) | −13.7443 | + | 15.8618i | −0.885350 | + | 1.02175i | 0.114250 | + | 0.993452i | \(0.463554\pi\) |
−0.999600 | + | 0.0282959i | \(0.990992\pi\) | |||||||
\(242\) | −18.0828 | + | 20.8687i | −1.16241 | + | 1.34149i | ||||
\(243\) | −0.959493 | + | 0.281733i | −0.0615515 | + | 0.0180732i | ||||
\(244\) | 9.02425 | + | 19.7604i | 0.577719 | + | 1.26503i | ||||
\(245\) | −0.841254 | + | 0.540641i | −0.0537457 | + | 0.0345403i | ||||
\(246\) | 22.6907 | + | 6.66260i | 1.44671 | + | 0.424792i | ||||
\(247\) | −0.253889 | − | 1.76584i | −0.0161546 | − | 0.112357i | ||||
\(248\) | 14.2765 | − | 31.2612i | 0.906560 | − | 1.98509i | ||||
\(249\) | 1.82852 | − | 12.7176i | 0.115877 | − | 0.805946i | ||||
\(250\) | −19.0292 | − | 12.2293i | −1.20351 | − | 0.773450i | ||||
\(251\) | −13.1677 | − | 15.1963i | −0.831138 | − | 0.959184i | 0.168510 | − | 0.985700i | \(-0.446104\pi\) |
−0.999648 | + | 0.0265155i | \(0.991559\pi\) | |||||||
\(252\) | 4.31686 | 0.271937 | ||||||||
\(253\) | 0.259769 | − | 0.489011i | 0.0163316 | − | 0.0307439i | ||||
\(254\) | 6.55804 | 0.411488 | ||||||||
\(255\) | 2.56275 | + | 2.95757i | 0.160486 | + | 0.185210i | ||||
\(256\) | −26.7494 | − | 17.1908i | −1.67184 | − | 1.07442i | ||||
\(257\) | 0.844801 | − | 5.87572i | 0.0526973 | − | 0.366518i | −0.946360 | − | 0.323113i | \(-0.895271\pi\) |
0.999058 | − | 0.0434043i | \(-0.0138204\pi\) | |||||||
\(258\) | 6.88047 | − | 15.0661i | 0.428360 | − | 0.937977i | ||||
\(259\) | −0.0737293 | − | 0.512799i | −0.00458132 | − | 0.0318638i | ||||
\(260\) | −5.38271 | − | 1.58051i | −0.333821 | − | 0.0980188i | ||||
\(261\) | −1.72472 | + | 1.10841i | −0.106758 | + | 0.0686090i | ||||
\(262\) | −18.5468 | − | 40.6119i | −1.14583 | − | 2.50901i | ||||
\(263\) | −5.93759 | + | 1.74343i | −0.366127 | + | 0.107505i | −0.459621 | − | 0.888115i | \(-0.652015\pi\) |
0.0934936 | + | 0.995620i | \(0.470197\pi\) | |||||||
\(264\) | −0.440282 | + | 0.508112i | −0.0270975 | + | 0.0312721i | ||||
\(265\) | 2.86982 | − | 3.31195i | 0.176292 | − | 0.203451i | ||||
\(266\) | −3.31051 | + | 0.972054i | −0.202981 | + | 0.0596005i | ||||
\(267\) | −2.11535 | − | 4.63198i | −0.129458 | − | 0.283472i | ||||
\(268\) | −50.9229 | + | 32.7261i | −3.11061 | + | 1.99907i | ||||
\(269\) | 19.4189 | + | 5.70192i | 1.18399 | + | 0.347652i | 0.813713 | − | 0.581268i | \(-0.197443\pi\) |
0.370282 | + | 0.928920i | \(0.379261\pi\) | |||||||
\(270\) | −0.357685 | − | 2.48775i | −0.0217680 | − | 0.151400i | ||||
\(271\) | −12.4234 | + | 27.2034i | −0.754665 | + | 1.65249i | 0.00313049 | + | 0.999995i | \(0.499004\pi\) |
−0.757796 | + | 0.652492i | \(0.773724\pi\) | |||||||
\(272\) | −3.34251 | + | 23.2477i | −0.202670 | + | 1.40960i | ||||
\(273\) | −1.09325 | − | 0.702586i | −0.0661662 | − | 0.0425224i | ||||
\(274\) | 28.8866 | + | 33.3369i | 1.74510 | + | 2.01395i | ||||
\(275\) | 0.461839 | 0.0278499 | ||||||||
\(276\) | −9.71238 | + | 18.2834i | −0.584616 | + | 1.10053i | ||||
\(277\) | 16.2919 | 0.978884 | 0.489442 | − | 0.872036i | \(-0.337201\pi\) | ||||
0.489442 | + | 0.872036i | \(0.337201\pi\) | |||||||
\(278\) | −6.40360 | − | 7.39014i | −0.384062 | − | 0.443231i | ||||
\(279\) | −4.96496 | − | 3.19079i | −0.297244 | − | 0.191027i | ||||
\(280\) | −0.828708 | + | 5.76379i | −0.0495248 | + | 0.344452i | ||||
\(281\) | 11.0973 | − | 24.2997i | 0.662010 | − | 1.44960i | −0.218627 | − | 0.975809i | \(-0.570158\pi\) |
0.880637 | − | 0.473792i | \(-0.157115\pi\) | |||||||
\(282\) | 2.11054 | + | 14.6791i | 0.125681 | + | 0.874128i | ||||
\(283\) | −17.6139 | − | 5.17191i | −1.04704 | − | 0.307438i | −0.287419 | − | 0.957805i | \(-0.592797\pi\) |
−0.759620 | + | 0.650367i | \(0.774615\pi\) | |||||||
\(284\) | 34.6343 | − | 22.2581i | 2.05516 | − | 1.32077i | ||||
\(285\) | 0.570276 | + | 1.24873i | 0.0337802 | + | 0.0739684i | ||||
\(286\) | 0.361838 | − | 0.106245i | 0.0213959 | − | 0.00628240i | ||||
\(287\) | −6.16176 | + | 7.11105i | −0.363717 | + | 0.419752i | ||||
\(288\) | 2.25133 | − | 2.59818i | 0.132661 | − | 0.153099i | ||||
\(289\) | 1.61684 | − | 0.474746i | 0.0951079 | − | 0.0279262i | ||||
\(290\) | −2.14055 | − | 4.68715i | −0.125698 | − | 0.275239i | ||||
\(291\) | 6.50275 | − | 4.17906i | 0.381198 | − | 0.244981i | ||||
\(292\) | −2.47096 | − | 0.725541i | −0.144602 | − | 0.0424591i | ||||
\(293\) | 0.923102 | + | 6.42031i | 0.0539282 | + | 0.375079i | 0.998857 | + | 0.0478023i | \(0.0152217\pi\) |
−0.944929 | + | 0.327276i | \(0.893869\pi\) | |||||||
\(294\) | −1.04408 | + | 2.28621i | −0.0608919 | + | 0.133335i | ||||
\(295\) | −0.513427 | + | 3.57096i | −0.0298929 | + | 0.207909i | ||||
\(296\) | −2.53786 | − | 1.63099i | −0.147510 | − | 0.0947991i | ||||
\(297\) | 0.0756100 | + | 0.0872586i | 0.00438734 | + | 0.00506326i | ||||
\(298\) | 38.1946 | 2.21255 | ||||||||
\(299\) | 5.43535 | − | 3.04954i | 0.314334 | − | 0.176359i | ||||
\(300\) | −17.2675 | −0.996937 | ||||||||
\(301\) | 4.31553 | + | 4.98039i | 0.248743 | + | 0.287065i | ||||
\(302\) | −6.07505 | − | 3.90420i | −0.349580 | − | 0.224661i | ||||
\(303\) | 1.17272 | − | 8.15647i | 0.0673712 | − | 0.468577i | ||||
\(304\) | −3.42256 | + | 7.49435i | −0.196297 | + | 0.429831i | ||||
\(305\) | 0.716162 | + | 4.98101i | 0.0410073 | + | 0.285212i | ||||
\(306\) | 9.43734 | + | 2.77105i | 0.539497 | + | 0.158411i | ||||
\(307\) | −22.8714 | + | 14.6985i | −1.30534 | + | 0.838890i | −0.993783 | − | 0.111338i | \(-0.964486\pi\) |
−0.311555 | + | 0.950228i | \(0.600850\pi\) | |||||||
\(308\) | −0.207053 | − | 0.453382i | −0.0117979 | − | 0.0258338i | ||||
\(309\) | 6.93043 | − | 2.03496i | 0.394258 | − | 0.115765i | ||||
\(310\) | 9.71379 | − | 11.2103i | 0.551706 | − | 0.636703i | ||||
\(311\) | 11.2629 | − | 12.9981i | 0.638662 | − | 0.737055i | −0.340476 | − | 0.940253i | \(-0.610588\pi\) |
0.979138 | + | 0.203198i | \(0.0651335\pi\) | |||||||
\(312\) | −7.26079 | + | 2.13196i | −0.411061 | + | 0.120698i | ||||
\(313\) | 13.2713 | + | 29.0602i | 0.750140 | + | 1.64258i | 0.766113 | + | 0.642706i | \(0.222188\pi\) |
−0.0159725 | + | 0.999872i | \(0.505084\pi\) | |||||||
\(314\) | 0.174142 | − | 0.111914i | 0.00982739 | − | 0.00631568i | ||||
\(315\) | 0.959493 | + | 0.281733i | 0.0540613 | + | 0.0158738i | ||||
\(316\) | −5.80507 | − | 40.3751i | −0.326561 | − | 2.27128i | ||||
\(317\) | −2.06777 | + | 4.52779i | −0.116138 | + | 0.254306i | −0.958770 | − | 0.284183i | \(-0.908278\pi\) |
0.842632 | + | 0.538490i | \(0.181005\pi\) | |||||||
\(318\) | 1.56750 | − | 10.9022i | 0.0879008 | − | 0.611364i | ||||
\(319\) | 0.199136 | + | 0.127977i | 0.0111495 | + | 0.00716534i | ||||
\(320\) | −2.20204 | − | 2.54129i | −0.123098 | − | 0.142062i | ||||
\(321\) | −6.13755 | −0.342565 | ||||||||
\(322\) | −7.33384 | − | 9.56570i | −0.408699 | − | 0.533076i | ||||
\(323\) | −5.37230 | −0.298923 | ||||||||
\(324\) | −2.82694 | − | 3.26247i | −0.157052 | − | 0.181248i | ||||
\(325\) | 4.37298 | + | 2.81034i | 0.242569 | + | 0.155890i | ||||
\(326\) | 0.0833235 | − | 0.579528i | 0.00461486 | − | 0.0320971i | ||||
\(327\) | −2.41538 | + | 5.28895i | −0.133571 | + | 0.292480i | ||||
\(328\) | 7.79753 | + | 54.2330i | 0.430547 | + | 2.99452i | ||||
\(329\) | −5.66153 | − | 1.66238i | −0.312130 | − | 0.0916497i | ||||
\(330\) | −0.244123 | + | 0.156888i | −0.0134385 | + | 0.00863641i | ||||
\(331\) | 0.997212 | + | 2.18359i | 0.0548117 | + | 0.120021i | 0.935056 | − | 0.354500i | \(-0.115349\pi\) |
−0.880244 | + | 0.474520i | \(0.842621\pi\) | |||||||
\(332\) | 53.2180 | − | 15.6262i | 2.92072 | − | 0.857600i | ||||
\(333\) | −0.339265 | + | 0.391533i | −0.0185916 | + | 0.0214559i | ||||
\(334\) | −41.6211 | + | 48.0334i | −2.27741 | + | 2.62827i | ||||
\(335\) | −13.4543 | + | 3.95052i | −0.735084 | + | 0.215840i | ||||
\(336\) | 2.49315 | + | 5.45923i | 0.136012 | + | 0.297825i | ||||
\(337\) | 24.9667 | − | 16.0451i | 1.36002 | − | 0.874034i | 0.361722 | − | 0.932286i | \(-0.382189\pi\) |
0.998302 | + | 0.0582517i | \(0.0185526\pi\) | |||||||
\(338\) | −27.2773 | − | 8.00933i | −1.48369 | − | 0.435650i | ||||
\(339\) | −1.16185 | − | 8.08086i | −0.0631031 | − | 0.438892i | ||||
\(340\) | −7.01791 | + | 15.3671i | −0.380599 | + | 0.833397i | ||||
\(341\) | −0.0969772 | + | 0.674491i | −0.00525161 | + | 0.0365257i | ||||
\(342\) | 2.90255 | + | 1.86536i | 0.156952 | + | 0.100867i | ||||
\(343\) | −0.654861 | − | 0.755750i | −0.0353592 | − | 0.0408066i | ||||
\(344\) | 38.3740 | 2.06898 | ||||||||
\(345\) | −3.35197 | + | 3.42992i | −0.180464 | + | 0.184660i | ||||
\(346\) | −3.29784 | −0.177293 | ||||||||
\(347\) | 17.6929 | + | 20.4187i | 0.949803 | + | 1.09613i | 0.995268 | + | 0.0971648i | \(0.0309774\pi\) |
−0.0454656 | + | 0.998966i | \(0.514477\pi\) | |||||||
\(348\) | −7.44540 | − | 4.78487i | −0.399115 | − | 0.256496i | ||||
\(349\) | 0.543634 | − | 3.78105i | 0.0291000 | − | 0.202395i | −0.970085 | − | 0.242767i | \(-0.921945\pi\) |
0.999185 | + | 0.0403715i | \(0.0128541\pi\) | |||||||
\(350\) | 4.17631 | − | 9.14485i | 0.223233 | − | 0.488813i | ||||
\(351\) | 0.184944 | + | 1.28632i | 0.00987159 | + | 0.0686584i | ||||
\(352\) | −0.380858 | − | 0.111830i | −0.0202998 | − | 0.00596056i | ||||
\(353\) | 2.68833 | − | 1.72768i | 0.143085 | − | 0.0919552i | −0.467140 | − | 0.884184i | \(-0.654715\pi\) |
0.610225 | + | 0.792228i | \(0.291079\pi\) | |||||||
\(354\) | 3.76670 | + | 8.24793i | 0.200198 | + | 0.438372i | ||||
\(355\) | 9.15066 | − | 2.68688i | 0.485667 | − | 0.142605i | ||||
\(356\) | 14.3952 | − | 16.6130i | 0.762945 | − | 0.880485i | ||||
\(357\) | −2.56275 | + | 2.95757i | −0.135635 | + | 0.156531i | ||||
\(358\) | −8.07749 | + | 2.37177i | −0.426909 | + | 0.125352i | ||||
\(359\) | 6.39592 | + | 14.0051i | 0.337564 | + | 0.739161i | 0.999950 | − | 0.0100011i | \(-0.00318349\pi\) |
−0.662386 | + | 0.749162i | \(0.730456\pi\) | |||||||
\(360\) | 4.89867 | − | 3.14818i | 0.258183 | − | 0.165924i | ||||
\(361\) | 16.4222 | + | 4.82198i | 0.864324 | + | 0.253789i | ||||
\(362\) | 5.17930 | + | 36.0228i | 0.272218 | + | 1.89332i | ||||
\(363\) | −4.56403 | + | 9.99383i | −0.239549 | + | 0.524540i | ||||
\(364\) | 0.798379 | − | 5.55285i | 0.0418464 | − | 0.291048i | ||||
\(365\) | −0.501861 | − | 0.322526i | −0.0262686 | − | 0.0168818i | ||||
\(366\) | 8.28248 | + | 9.55849i | 0.432932 | + | 0.499630i | ||||
\(367\) | −21.7502 | −1.13535 | −0.567675 | − | 0.823253i | \(-0.692157\pi\) | ||||
−0.567675 | + | 0.823253i | \(0.692157\pi\) | |||||||
\(368\) | −28.7309 | − | 1.72323i | −1.49770 | − | 0.0898298i | ||||
\(369\) | 9.40926 | 0.489827 | ||||||||
\(370\) | −0.852687 | − | 0.984054i | −0.0443291 | − | 0.0511585i | ||||
\(371\) | 3.68665 | + | 2.36927i | 0.191402 | + | 0.123006i | ||||
\(372\) | 3.62583 | − | 25.2182i | 0.187991 | − | 1.30750i | ||||
\(373\) | −11.6573 | + | 25.5259i | −0.603591 | + | 1.32168i | 0.323281 | + | 0.946303i | \(0.395214\pi\) |
−0.926872 | + | 0.375377i | \(0.877513\pi\) | |||||||
\(374\) | −0.161618 | − | 1.12407i | −0.00835704 | − | 0.0581245i | ||||
\(375\) | −8.63544 | − | 2.53559i | −0.445932 | − | 0.130937i | ||||
\(376\) | −28.9048 | + | 18.5760i | −1.49065 | + | 0.957984i | ||||
\(377\) | 1.10679 | + | 2.42353i | 0.0570026 | + | 0.124818i | ||||
\(378\) | 2.41153 | − | 0.708089i | 0.124036 | − | 0.0364202i | ||||
\(379\) | −23.6643 | + | 27.3101i | −1.21555 | + | 1.40282i | −0.326390 | + | 0.945235i | \(0.605832\pi\) |
−0.889164 | + | 0.457589i | \(0.848713\pi\) | |||||||
\(380\) | −3.88079 | + | 4.47867i | −0.199080 | + | 0.229751i | ||||
\(381\) | 2.50360 | − | 0.735124i | 0.128263 | − | 0.0376615i | ||||
\(382\) | 9.83171 | + | 21.5284i | 0.503034 | + | 1.10149i | ||||
\(383\) | 1.52038 | − | 0.977088i | 0.0776877 | − | 0.0499269i | −0.501220 | − | 0.865320i | \(-0.667115\pi\) |
0.578908 | + | 0.815393i | \(0.303479\pi\) | |||||||
\(384\) | −14.7063 | − | 4.31815i | −0.750476 | − | 0.220360i | ||||
\(385\) | −0.0164316 | − | 0.114284i | −0.000837433 | − | 0.00582448i | ||||
\(386\) | 15.1252 | − | 33.1195i | 0.769852 | − | 1.68574i | ||||
\(387\) | 0.937855 | − | 6.52292i | 0.0476738 | − | 0.331579i | ||||
\(388\) | 28.0715 | + | 18.0404i | 1.42511 | + | 0.915865i | ||||
\(389\) | 18.2139 | + | 21.0200i | 0.923483 | + | 1.06576i | 0.997650 | + | 0.0685102i | \(0.0218246\pi\) |
−0.0741676 | + | 0.997246i | \(0.523630\pi\) | |||||||
\(390\) | −3.26619 | −0.165390 | ||||||||
\(391\) | −6.76046 | − | 17.5083i | −0.341891 | − | 0.885431i | ||||
\(392\) | −5.82306 | −0.294109 | ||||||||
\(393\) | −11.6328 | − | 13.4250i | −0.586799 | − | 0.677203i | ||||
\(394\) | −47.6746 | − | 30.6386i | −2.40181 | − | 1.54355i | ||||
\(395\) | 1.34474 | − | 9.35289i | 0.0676613 | − | 0.470595i | ||||
\(396\) | −0.207053 | + | 0.453382i | −0.0104048 | + | 0.0227833i | ||||
\(397\) | 4.92752 | + | 34.2717i | 0.247305 | + | 1.72005i | 0.613660 | + | 0.789570i | \(0.289697\pi\) |
−0.366355 | + | 0.930475i | \(0.619394\pi\) | |||||||
\(398\) | 0.821128 | + | 0.241105i | 0.0411594 | + | 0.0120855i | ||||
\(399\) | −1.15486 | + | 0.742184i | −0.0578154 | + | 0.0371557i | ||||
\(400\) | −9.97259 | − | 21.8369i | −0.498629 | − | 1.09185i | ||||
\(401\) | 5.43767 | − | 1.59664i | 0.271544 | − | 0.0797326i | −0.143125 | − | 0.989705i | \(-0.545715\pi\) |
0.414670 | + | 0.909972i | \(0.363897\pi\) | |||||||
\(402\) | −23.0790 | + | 26.6346i | −1.15108 | + | 1.32841i | ||||
\(403\) | −5.02260 | + | 5.79639i | −0.250194 | + | 0.288739i | ||||
\(404\) | 34.1315 | − | 10.0219i | 1.69811 | − | 0.498609i | ||||
\(405\) | −0.415415 | − | 0.909632i | −0.0206421 | − | 0.0452000i | ||||
\(406\) | 4.33481 | − | 2.78582i | 0.215133 | − | 0.138258i | ||||
\(407\) | 0.0573934 | + | 0.0168522i | 0.00284489 | + | 0.000835334i | ||||
\(408\) | 3.24309 | + | 22.5562i | 0.160557 | + | 1.11670i | ||||
\(409\) | 15.0654 | − | 32.9887i | 0.744937 | − | 1.63118i | −0.0303208 | − | 0.999540i | \(-0.509653\pi\) |
0.775258 | − | 0.631645i | \(-0.217620\pi\) | |||||||
\(410\) | −3.36555 | + | 23.4079i | −0.166213 | + | 1.15604i | ||||
\(411\) | 14.7646 | + | 9.48866i | 0.728286 | + | 0.468041i | ||||
\(412\) | 20.4190 | + | 23.5648i | 1.00597 | + | 1.16096i | ||||
\(413\) | −3.60768 | −0.177522 | ||||||||
\(414\) | −2.42663 | + | 11.8067i | −0.119262 | + | 0.580270i | ||||
\(415\) | 12.8484 | 0.630702 | ||||||||
\(416\) | −2.92571 | − | 3.37644i | −0.143445 | − | 0.165544i | ||||
\(417\) | −3.27304 | − | 2.10345i | −0.160281 | − | 0.103007i | ||||
\(418\) | 0.0566936 | − | 0.394313i | 0.00277297 | − | 0.0192865i | ||||
\(419\) | −2.11037 | + | 4.62106i | −0.103098 | + | 0.225753i | −0.954150 | − | 0.299328i | \(-0.903238\pi\) |
0.851052 | + | 0.525081i | \(0.175965\pi\) | |||||||
\(420\) | 0.614354 | + | 4.27292i | 0.0299774 | + | 0.208497i | ||||
\(421\) | 0.473773 | + | 0.139112i | 0.0230903 | + | 0.00677992i | 0.293257 | − | 0.956034i | \(-0.405261\pi\) |
−0.270167 | + | 0.962813i | \(0.587079\pi\) | |||||||
\(422\) | 49.3219 | − | 31.6973i | 2.40095 | − | 1.54300i | ||||
\(423\) | 2.45118 | + | 5.36733i | 0.119180 | + | 0.260968i | ||||
\(424\) | 24.4849 | − | 7.18942i | 1.18909 | − | 0.349149i | ||||
\(425\) | 10.2510 | − | 11.8303i | 0.497246 | − | 0.573853i | ||||
\(426\) | 15.6968 | − | 18.1150i | 0.760511 | − | 0.877677i | ||||
\(427\) | −4.82839 | + | 1.41774i | −0.233662 | + | 0.0686094i | ||||
\(428\) | −11.0064 | − | 24.1007i | −0.532015 | − | 1.16495i | ||||
\(429\) | 0.126226 | − | 0.0811204i | 0.00609424 | − | 0.00391653i | ||||
\(430\) | 15.8920 | + | 4.66631i | 0.766379 | + | 0.225029i | ||||
\(431\) | 5.03667 | + | 35.0308i | 0.242608 | + | 1.68737i | 0.638931 | + | 0.769264i | \(0.279377\pi\) |
−0.396324 | + | 0.918111i | \(0.629714\pi\) | |||||||
\(432\) | 2.49315 | − | 5.45923i | 0.119952 | − | 0.262657i | ||||
\(433\) | −1.92348 | + | 13.3781i | −0.0924365 | + | 0.642910i | 0.889951 | + | 0.456056i | \(0.150738\pi\) |
−0.982388 | + | 0.186854i | \(0.940171\pi\) | |||||||
\(434\) | 12.4786 | + | 8.01952i | 0.598993 | + | 0.384949i | ||||
\(435\) | −1.34258 | − | 1.54943i | −0.0643720 | − | 0.0742893i | ||||
\(436\) | −25.0999 | −1.20207 | ||||||||
\(437\) | −0.545114 | − | 6.56104i | −0.0260763 | − | 0.313857i | ||||
\(438\) | −1.49936 | −0.0716424 | ||||||||
\(439\) | 10.5248 | + | 12.1463i | 0.502323 | + | 0.579712i | 0.949116 | − | 0.314925i | \(-0.101979\pi\) |
−0.446793 | + | 0.894637i | \(0.647434\pi\) | |||||||
\(440\) | −0.565599 | − | 0.363488i | −0.0269639 | − | 0.0173286i | ||||
\(441\) | −0.142315 | + | 0.989821i | −0.00677690 | + | 0.0471344i | ||||
\(442\) | 5.30983 | − | 11.6269i | 0.252563 | − | 0.553036i | ||||
\(443\) | 4.37434 | + | 30.4242i | 0.207831 | + | 1.44550i | 0.780215 | + | 0.625512i | \(0.215110\pi\) |
−0.572384 | + | 0.819986i | \(0.693981\pi\) | |||||||
\(444\) | −2.14585 | − | 0.630080i | −0.101838 | − | 0.0299023i | ||||
\(445\) | 4.28379 | − | 2.75302i | 0.203071 | − | 0.130506i | ||||
\(446\) | −9.22748 | − | 20.2054i | −0.436934 | − | 0.956751i | ||||
\(447\) | 14.5812 | − | 4.28142i | 0.689666 | − | 0.202504i | ||||
\(448\) | 2.20204 | − | 2.54129i | 0.104037 | − | 0.120065i | ||||
\(449\) | 22.4282 | − | 25.8836i | 1.05845 | − | 1.22152i | 0.0841102 | − | 0.996456i | \(-0.473195\pi\) |
0.974344 | − | 0.225065i | \(-0.0722593\pi\) | |||||||
\(450\) | −9.64612 | + | 2.83236i | −0.454722 | + | 0.133519i | ||||
\(451\) | −0.451303 | − | 0.988216i | −0.0212510 | − | 0.0465333i | ||||
\(452\) | 29.6480 | − | 19.0536i | 1.39453 | − | 0.896207i | ||||
\(453\) | −2.75686 | − | 0.809486i | −0.129528 | − | 0.0380330i | ||||
\(454\) | −9.58439 | − | 66.6609i | −0.449818 | − | 3.12855i | ||||
\(455\) | 0.539850 | − | 1.18211i | 0.0253085 | − | 0.0554180i | ||||
\(456\) | −1.13764 | + | 7.91245i | −0.0532748 | + | 0.370534i | ||||
\(457\) | −17.3188 | − | 11.1301i | −0.810140 | − | 0.520645i | 0.0687706 | − | 0.997633i | \(-0.478092\pi\) |
−0.878910 | + | 0.476987i | \(0.841729\pi\) | |||||||
\(458\) | −11.4975 | − | 13.2688i | −0.537241 | − | 0.620009i | ||||
\(459\) | 3.91343 | 0.182663 | ||||||||
\(460\) | −19.4795 | − | 7.01152i | −0.908236 | − | 0.326914i | ||||
\(461\) | 33.8255 | 1.57541 | 0.787705 | − | 0.616052i | \(-0.211269\pi\) | ||||
0.787705 | + | 0.616052i | \(0.211269\pi\) | |||||||
\(462\) | −0.190033 | − | 0.219310i | −0.00884116 | − | 0.0102032i | ||||
\(463\) | −6.12832 | − | 3.93843i | −0.284807 | − | 0.183035i | 0.390435 | − | 0.920630i | \(-0.372325\pi\) |
−0.675242 | + | 0.737596i | \(0.735961\pi\) | |||||||
\(464\) | 1.75109 | − | 12.1791i | 0.0812924 | − | 0.565401i | ||||
\(465\) | 2.45172 | − | 5.36852i | 0.113696 | − | 0.248959i | ||||
\(466\) | −1.99833 | − | 13.8987i | −0.0925708 | − | 0.643844i | ||||
\(467\) | −0.527255 | − | 0.154816i | −0.0243984 | − | 0.00716403i | 0.269511 | − | 0.962997i | \(-0.413138\pi\) |
−0.293909 | + | 0.955833i | \(0.594956\pi\) | |||||||
\(468\) | −4.71939 | + | 3.03297i | −0.218154 | + | 0.140199i | ||||
\(469\) | −5.82505 | − | 12.7551i | −0.268976 | − | 0.588975i | ||||
\(470\) | −14.2293 | + | 4.17811i | −0.656350 | + | 0.192722i | ||||
\(471\) | 0.0539355 | − | 0.0622448i | 0.00248522 | − | 0.00286809i | ||||
\(472\) | −13.7571 | + | 15.8766i | −0.633224 | + | 0.730779i | ||||
\(473\) | −0.730058 | + | 0.214365i | −0.0335681 | + | 0.00985649i | ||||
\(474\) | −9.86556 | − | 21.6026i | −0.453140 | − | 0.992239i | ||||
\(475\) | 4.61944 | − | 2.96874i | 0.211955 | − | 0.136215i | ||||
\(476\) | −16.2094 | − | 4.75951i | −0.742957 | − | 0.218152i | ||||
\(477\) | −0.623671 | − | 4.33773i | −0.0285559 | − | 0.198611i | ||||
\(478\) | 17.2444 | − | 37.7599i | 0.788739 | − | 1.72710i | ||||
\(479\) | −3.29006 | + | 22.8829i | −0.150327 | + | 1.04554i | 0.765346 | + | 0.643619i | \(0.222568\pi\) |
−0.915672 | + | 0.401925i | \(0.868341\pi\) | |||||||
\(480\) | 2.89213 | + | 1.85866i | 0.132007 | + | 0.0848358i | ||||
\(481\) | 0.440889 | + | 0.508814i | 0.0201028 | + | 0.0231999i | ||||
\(482\) | −52.7503 | −2.40271 | ||||||||
\(483\) | −3.87204 | − | 2.82972i | −0.176184 | − | 0.128757i | ||||
\(484\) | −47.4279 | −2.15582 | ||||||||
\(485\) | 5.06196 | + | 5.84182i | 0.229852 | + | 0.265263i | ||||
\(486\) | −2.11435 | − | 1.35881i | −0.0959090 | − | 0.0616370i | ||||
\(487\) | 3.04693 | − | 21.1919i | 0.138070 | − | 0.960296i | −0.796531 | − | 0.604598i | \(-0.793334\pi\) |
0.934601 | − | 0.355698i | \(-0.115757\pi\) | |||||||
\(488\) | −12.1729 | + | 26.6549i | −0.551041 | + | 1.20661i | ||||
\(489\) | −0.0331526 | − | 0.230581i | −0.00149921 | − | 0.0104272i | ||||
\(490\) | −2.41153 | − | 0.708089i | −0.108942 | − | 0.0319882i | ||||
\(491\) | 7.79191 | − | 5.00755i | 0.351644 | − | 0.225988i | −0.352879 | − | 0.935669i | \(-0.614797\pi\) |
0.704523 | + | 0.709681i | \(0.251161\pi\) | |||||||
\(492\) | 16.8735 | + | 36.9479i | 0.760718 | + | 1.66574i | ||||
\(493\) | 7.69824 | − | 2.26041i | 0.346712 | − | 0.101804i | ||||
\(494\) | 2.93625 | − | 3.38861i | 0.132108 | − | 0.152461i | ||||
\(495\) | −0.0756100 | + | 0.0872586i | −0.00339842 | + | 0.00392198i | ||||
\(496\) | 33.9857 | − | 9.97911i | 1.52600 | − | 0.448075i | ||||
\(497\) | 3.96180 | + | 8.67514i | 0.177711 | + | 0.389133i | ||||
\(498\) | 27.1660 | − | 17.4585i | 1.21734 | − | 0.782336i | ||||
\(499\) | 15.7085 | + | 4.61243i | 0.703209 | + | 0.206481i | 0.613739 | − | 0.789509i | \(-0.289665\pi\) |
0.0894699 | + | 0.995990i | \(0.471483\pi\) | |||||||
\(500\) | −5.52918 | − | 38.4563i | −0.247273 | − | 1.71982i | ||||
\(501\) | −10.5050 | + | 23.0028i | −0.469329 | + | 1.02769i | ||||
\(502\) | 7.19220 | − | 50.0229i | 0.321004 | − | 2.23263i | ||||
\(503\) | −21.5535 | − | 13.8516i | −0.961023 | − | 0.617612i | −0.0367419 | − | 0.999325i | \(-0.511698\pi\) |
−0.924281 | + | 0.381713i | \(0.875334\pi\) | |||||||
\(504\) | 3.81329 | + | 4.40077i | 0.169858 | + | 0.196026i | ||||
\(505\) | 8.24035 | 0.366691 | ||||||||
\(506\) | 1.35640 | − | 0.311436i | 0.0602995 | − | 0.0138450i | ||||
\(507\) | −11.3112 | −0.502347 | ||||||||
\(508\) | 7.37634 | + | 8.51275i | 0.327272 | + | 0.377692i | ||||
\(509\) | −9.81467 | − | 6.30751i | −0.435028 | − | 0.279575i | 0.304743 | − | 0.952435i | \(-0.401430\pi\) |
−0.739770 | + | 0.672859i | \(0.765066\pi\) | |||||||
\(510\) | −1.39977 | + | 9.73565i | −0.0619831 | + | 0.431102i | ||||
\(511\) | 0.247821 | − | 0.542653i | 0.0109630 | − | 0.0240056i | ||||
\(512\) | −7.01077 | − | 48.7610i | −0.309835 | − | 2.15495i | ||||
\(513\) | 1.31718 | + | 0.386758i | 0.0581548 | + | 0.0170758i | ||||
\(514\) | 12.5511 | − | 8.06611i | 0.553606 | − | 0.355781i | ||||
\(515\) | 3.00055 | + | 6.57028i | 0.132220 | + | 0.289521i | ||||
\(516\) | 27.2958 | − | 8.01476i | 1.20163 | − | 0.352830i | ||||
\(517\) | 0.446140 | − | 0.514874i | 0.0196212 | − | 0.0226441i | ||||
\(518\) | 0.852687 | − | 0.984054i | 0.0374649 | − | 0.0432368i | ||||
\(519\) | −1.25899 | + | 0.369672i | −0.0552634 | + | 0.0162268i | ||||
\(520\) | −3.14358 | − | 6.88347i | −0.137855 | − | 0.301860i | ||||
\(521\) | 13.6161 | − | 8.75056i | 0.596534 | − | 0.383369i | −0.207252 | − | 0.978288i | \(-0.566452\pi\) |
0.803786 | + | 0.594918i | \(0.202816\pi\) | |||||||
\(522\) | −4.94408 | − | 1.45171i | −0.216396 | − | 0.0635397i | ||||
\(523\) | 1.77195 | + | 12.3242i | 0.0774821 | + | 0.538900i | 0.991182 | + | 0.132510i | \(0.0423036\pi\) |
−0.913700 | + | 0.406390i | \(0.866787\pi\) | |||||||
\(524\) | 31.8557 | − | 69.7543i | 1.39162 | − | 3.04723i | ||||
\(525\) | 0.569259 | − | 3.95929i | 0.0248445 | − | 0.172797i | ||||
\(526\) | −13.0842 | − | 8.40868i | −0.570497 | − | 0.366636i | ||||
\(527\) | 15.1250 | + | 17.4552i | 0.658855 | + | 0.760359i | ||||
\(528\) | −0.692941 | −0.0301564 | ||||||||
\(529\) | 20.6964 | − | 10.0329i | 0.899844 | − | 0.436213i | ||||
\(530\) | 11.0143 | 0.478430 | ||||||||
\(531\) | 2.36253 | + | 2.72650i | 0.102525 | + | 0.118320i | ||||
\(532\) | −4.98538 | − | 3.20391i | −0.216143 | − | 0.138907i | ||||
\(533\) | 1.74019 | − | 12.1033i | 0.0753760 | − | 0.524251i | ||||
\(534\) | 5.31660 | − | 11.6417i | 0.230072 | − | 0.503787i | ||||
\(535\) | −0.873464 | − | 6.07508i | −0.0377631 | − | 0.262648i | ||||
\(536\) | −78.3449 | − | 23.0041i | −3.38398 | − | 0.993627i | ||||
\(537\) | −2.81781 | + | 1.81089i | −0.121597 | + | 0.0781458i | ||||
\(538\) | 21.1308 | + | 46.2701i | 0.911015 | + | 1.99485i | ||||
\(539\) | 0.110783 | − | 0.0325288i | 0.00477175 | − | 0.00140111i | ||||
\(540\) | 2.82694 | − | 3.26247i | 0.121652 | − | 0.140394i | ||||
\(541\) | 16.9697 | − | 19.5841i | 0.729585 | − | 0.841986i | −0.262840 | − | 0.964840i | \(-0.584659\pi\) |
0.992425 | + | 0.122853i | \(0.0392045\pi\) | |||||||
\(542\) | −72.1190 | + | 21.1760i | −3.09777 | + | 0.909589i | ||||
\(543\) | 6.01523 | + | 13.1715i | 0.258138 | + | 0.565243i | ||||
\(544\) | −11.3181 | + | 7.27373i | −0.485261 | + | 0.311859i | ||||
\(545\) | −5.57887 | − | 1.63810i | −0.238972 | − | 0.0701686i | ||||
\(546\) | −0.464827 | − | 3.23294i | −0.0198928 | − | 0.138357i | ||||
\(547\) | 13.5986 | − | 29.7768i | 0.581434 | − | 1.27316i | −0.359048 | − | 0.933319i | \(-0.616898\pi\) |
0.940482 | − | 0.339844i | \(-0.110374\pi\) | |||||||
\(548\) | −10.7824 | + | 74.9931i | −0.460600 | + | 3.20355i | ||||
\(549\) | 4.23338 | + | 2.72063i | 0.180676 | + | 0.116114i | ||||
\(550\) | 0.760134 | + | 0.877241i | 0.0324122 | + | 0.0374057i | ||||
\(551\) | 2.81446 | 0.119900 | ||||||||
\(552\) | −27.2182 | + | 6.24942i | −1.15848 | + | 0.265993i | ||||
\(553\) | 9.44906 | 0.401815 | ||||||||
\(554\) | 26.8146 | + | 30.9456i | 1.13924 | + | 1.31475i | ||||
\(555\) | −0.435830 | − | 0.280091i | −0.0184999 | − | 0.0118892i | ||||
\(556\) | 2.39025 | − | 16.6245i | 0.101369 | − | 0.705037i | ||||
\(557\) | −8.11340 | + | 17.7659i | −0.343776 | + | 0.752764i | −0.999998 | − | 0.00180364i | \(-0.999426\pi\) |
0.656223 | + | 0.754567i | \(0.272153\pi\) | |||||||
\(558\) | −2.11101 | − | 14.6824i | −0.0893661 | − | 0.621555i | ||||
\(559\) | −8.21709 | − | 2.41275i | −0.347546 | − | 0.102049i | ||||
\(560\) | −5.04885 | + | 3.24470i | −0.213353 | + | 0.137114i | ||||
\(561\) | −0.187702 | − | 0.411011i | −0.00792480 | − | 0.0173529i | ||||
\(562\) | 64.4211 | − | 18.9157i | 2.71744 | − | 0.797913i | ||||
\(563\) | −2.96396 | + | 3.42059i | −0.124916 | + | 0.144161i | −0.814762 | − | 0.579795i | \(-0.803133\pi\) |
0.689846 | + | 0.723956i | \(0.257678\pi\) | |||||||
\(564\) | −16.6805 | + | 19.2503i | −0.702376 | + | 0.810586i | ||||
\(565\) | 7.83326 | − | 2.30005i | 0.329548 | − | 0.0967639i | ||||
\(566\) | −19.1667 | − | 41.9692i | −0.805636 | − | 1.76410i | ||||
\(567\) | 0.841254 | − | 0.540641i | 0.0353293 | − | 0.0227048i | ||||
\(568\) | 53.2848 | + | 15.6458i | 2.23578 | + | 0.656485i | ||||
\(569\) | 1.07776 | + | 7.49601i | 0.0451822 | + | 0.314249i | 0.999862 | + | 0.0166142i | \(0.00528872\pi\) |
−0.954680 | + | 0.297635i | \(0.903802\pi\) | |||||||
\(570\) | −1.43330 | + | 3.13848i | −0.0600341 | + | 0.131456i | ||||
\(571\) | −0.313113 | + | 2.17775i | −0.0131034 | + | 0.0911360i | −0.995324 | − | 0.0965959i | \(-0.969205\pi\) |
0.982220 | + | 0.187732i | \(0.0601136\pi\) | |||||||
\(572\) | 0.544899 | + | 0.350186i | 0.0227834 | + | 0.0146420i | ||||
\(573\) | 6.16659 | + | 7.11662i | 0.257613 | + | 0.297301i | ||||
\(574\) | −23.6487 | −0.987076 | ||||||||
\(575\) | 15.4882 | + | 11.3189i | 0.645901 | + | 0.472030i | ||||
\(576\) | −3.36261 | −0.140109 | ||||||||
\(577\) | 11.9916 | + | 13.8391i | 0.499218 | + | 0.576128i | 0.948305 | − | 0.317360i | \(-0.102796\pi\) |
−0.449087 | + | 0.893488i | \(0.648251\pi\) | |||||||
\(578\) | 3.56288 | + | 2.28973i | 0.148196 | + | 0.0952400i | ||||
\(579\) | 2.06166 | − | 14.3392i | 0.0856799 | − | 0.595916i | ||||
\(580\) | 3.67657 | − | 8.05057i | 0.152661 | − | 0.334282i | ||||
\(581\) | 1.82852 | + | 12.7176i | 0.0758596 | + | 0.527615i | ||||
\(582\) | 18.6407 | + | 5.47341i | 0.772683 | + | 0.226880i | ||||
\(583\) | −0.425660 | + | 0.273555i | −0.0176290 | + | 0.0113295i | ||||
\(584\) | −1.44308 | − | 3.15990i | −0.0597150 | − | 0.130758i | ||||
\(585\) | −1.24690 | + | 0.366124i | −0.0515531 | + | 0.0151373i | ||||
\(586\) | −10.6758 | + | 12.3205i | −0.441012 | + | 0.508955i | ||||
\(587\) | −0.573496 | + | 0.661849i | −0.0236707 | + | 0.0273174i | −0.767461 | − | 0.641095i | \(-0.778480\pi\) |
0.743791 | + | 0.668412i | \(0.233026\pi\) | |||||||
\(588\) | −4.14200 | + | 1.21620i | −0.170813 | + | 0.0501553i | ||||
\(589\) | 3.36569 | + | 7.36983i | 0.138681 | + | 0.303668i | ||||
\(590\) | −7.62792 | + | 4.90216i | −0.314036 | + | 0.201819i | ||||
\(591\) | −21.6347 | − | 6.35252i | −0.889933 | − | 0.261308i | ||||
\(592\) | −0.442493 | − | 3.07760i | −0.0181863 | − | 0.126489i | ||||
\(593\) | −3.49519 | + | 7.65341i | −0.143530 | + | 0.314288i | −0.967721 | − | 0.252025i | \(-0.918903\pi\) |
0.824190 | + | 0.566313i | \(0.191631\pi\) | |||||||
\(594\) | −0.0412982 | + | 0.287235i | −0.00169449 | + | 0.0117854i | ||||
\(595\) | −3.29218 | − | 2.11576i | −0.134966 | − | 0.0867376i | ||||
\(596\) | 42.9604 | + | 49.5789i | 1.75973 | + | 2.03083i | ||||
\(597\) | 0.340501 | 0.0139358 | ||||||||
\(598\) | 14.7384 | + | 5.30500i | 0.602699 | + | 0.216938i | ||||
\(599\) | 2.53861 | 0.103725 | 0.0518624 | − | 0.998654i | \(-0.483484\pi\) | ||||
0.0518624 | + | 0.998654i | \(0.483484\pi\) | |||||||
\(600\) | −15.2532 | − | 17.6031i | −0.622708 | − | 0.718643i | ||||
\(601\) | 3.68531 | + | 2.36840i | 0.150327 | + | 0.0966091i | 0.613642 | − | 0.789584i | \(-0.289704\pi\) |
−0.463315 | + | 0.886194i | \(0.653340\pi\) | |||||||
\(602\) | −2.35715 | + | 16.3943i | −0.0960701 | + | 0.668182i | ||||
\(603\) | −5.82505 | + | 12.7551i | −0.237215 | + | 0.519427i | ||||
\(604\) | −1.76519 | − | 12.2771i | −0.0718244 | − | 0.499550i | ||||
\(605\) | −10.5416 | − | 3.09530i | −0.428578 | − | 0.125842i | ||||
\(606\) | 17.4230 | − | 11.1971i | 0.707762 | − | 0.454851i | ||||
\(607\) | 19.4977 | + | 42.6940i | 0.791388 | + | 1.73290i | 0.672636 | + | 0.739974i | \(0.265162\pi\) |
0.118752 | + | 0.992924i | \(0.462111\pi\) | |||||||
\(608\) | −4.52830 | + | 1.32963i | −0.183647 | + | 0.0539236i | ||||
\(609\) | 1.34258 | − | 1.54943i | 0.0544043 | − | 0.0627859i | ||||
\(610\) | −8.28248 | + | 9.55849i | −0.335348 | + | 0.387012i | ||||
\(611\) | 7.35740 | − | 2.16033i | 0.297649 | − | 0.0873976i | ||||
\(612\) | 7.01791 | + | 15.3671i | 0.283682 | + | 0.621177i | ||||
\(613\) | 3.16751 | − | 2.03563i | 0.127934 | − | 0.0822184i | −0.475108 | − | 0.879927i | \(-0.657591\pi\) |
0.603043 | + | 0.797709i | \(0.293955\pi\) | |||||||
\(614\) | −65.5628 | − | 19.2510i | −2.64590 | − | 0.776907i | ||||
\(615\) | 1.33908 | + | 9.31349i | 0.0539968 | + | 0.375556i | ||||
\(616\) | 0.279295 | − | 0.611572i | 0.0112531 | − | 0.0246409i | ||||
\(617\) | −4.68821 | + | 32.6072i | −0.188740 | + | 1.31272i | 0.646535 | + | 0.762884i | \(0.276217\pi\) |
−0.835275 | + | 0.549832i | \(0.814692\pi\) | |||||||
\(618\) | 15.2720 | + | 9.81472i | 0.614330 | + | 0.394806i | ||||
\(619\) | −25.7293 | − | 29.6932i | −1.03415 | − | 1.19347i | −0.980825 | − | 0.194893i | \(-0.937564\pi\) |
−0.0533230 | − | 0.998577i | \(-0.516981\pi\) | |||||||
\(620\) | 25.4775 | 1.02320 | ||||||||
\(621\) | 0.397086 | + | 4.77936i | 0.0159345 | + | 0.191789i | ||||
\(622\) | 43.2268 | 1.73324 | ||||||||
\(623\) | 3.33465 | + | 3.84839i | 0.133600 | + | 0.154182i | ||||
\(624\) | −6.56120 | − | 4.21663i | −0.262658 | − | 0.168800i | ||||
\(625\) | −1.56546 | + | 10.8880i | −0.0626185 | + | 0.435521i | ||||
\(626\) | −33.3553 | + | 73.0380i | −1.33315 | + | 2.91919i | ||||
\(627\) | −0.0225571 | − | 0.156888i | −0.000900844 | − | 0.00626551i | ||||
\(628\) | 0.341142 | + | 0.100168i | 0.0136131 | + | 0.00399716i | ||||
\(629\) | 1.70559 | − | 1.09611i | 0.0680063 | − | 0.0437050i | ||||
\(630\) | 1.04408 | + | 2.28621i | 0.0415971 | + | 0.0910849i | ||||
\(631\) | −25.5725 | + | 7.50877i | −1.01803 | + | 0.298920i | −0.747833 | − | 0.663887i | \(-0.768906\pi\) |
−0.270193 | + | 0.962806i | \(0.587088\pi\) | |||||||
\(632\) | 36.0320 | − | 41.5832i | 1.43328 | − | 1.65409i | ||||
\(633\) | 15.2760 | − | 17.6295i | 0.607168 | − | 0.700710i | ||||
\(634\) | −12.0037 | + | 3.52459i | −0.476726 | + | 0.139979i | ||||
\(635\) | 1.08394 | + | 2.37350i | 0.0430149 | + | 0.0941895i | ||||
\(636\) | 15.9148 | − | 10.2278i | 0.631062 | − | 0.405559i | ||||
\(637\) | 1.24690 | + | 0.366124i | 0.0494041 | + | 0.0145063i | ||||
\(638\) | 0.0846689 | + | 0.588885i | 0.00335208 | + | 0.0233142i | ||||
\(639\) | 3.96180 | − | 8.67514i | 0.156726 | − | 0.343183i | ||||
\(640\) | 2.18128 | − | 15.1711i | 0.0862226 | − | 0.599691i | ||||
\(641\) | −23.7071 | − | 15.2356i | −0.936375 | − | 0.601772i | −0.0190105 | − | 0.999819i | \(-0.506052\pi\) |
−0.917365 | + | 0.398047i | \(0.869688\pi\) | |||||||
\(642\) | −10.1017 | − | 11.6580i | −0.398682 | − | 0.460104i | ||||
\(643\) | −42.1359 | −1.66168 | −0.830839 | − | 0.556513i | \(-0.812139\pi\) | ||||
−0.830839 | + | 0.556513i | \(0.812139\pi\) | |||||||
\(644\) | 4.16794 | − | 20.2791i | 0.164240 | − | 0.799107i | ||||
\(645\) | 6.59000 | 0.259481 | ||||||||
\(646\) | −8.84218 | − | 10.2044i | −0.347891 | − | 0.401488i | ||||
\(647\) | 31.2107 | + | 20.0579i | 1.22702 | + | 0.788557i | 0.983424 | − | 0.181321i | \(-0.0580372\pi\) |
0.243594 | + | 0.969877i | \(0.421674\pi\) | |||||||
\(648\) | 0.828708 | − | 5.76379i | 0.0325547 | − | 0.226423i | ||||
\(649\) | 0.173038 | − | 0.378900i | 0.00679233 | − | 0.0148731i | ||||
\(650\) | 1.85931 | + | 12.9318i | 0.0729281 | + | 0.507226i | ||||
\(651\) | 5.66279 | + | 1.66275i | 0.221942 | + | 0.0651682i | ||||
\(652\) | 0.845984 | − | 0.543681i | 0.0331313 | − | 0.0212922i | ||||
\(653\) | 19.4981 | + | 42.6949i | 0.763019 | + | 1.67078i | 0.741446 | + | 0.671012i | \(0.234140\pi\) |
0.0215731 | + | 0.999767i | \(0.493133\pi\) | |||||||
\(654\) | −14.0216 | + | 4.11710i | −0.548287 | + | 0.160992i | ||||
\(655\) | 11.6328 | − | 13.4250i | 0.454533 | − | 0.524559i | ||||
\(656\) | −36.9803 | + | 42.6775i | −1.44384 | + | 1.66628i | ||||
\(657\) | −0.572398 | + | 0.168071i | −0.0223314 | + | 0.00655708i | ||||
\(658\) | −6.16063 | − | 13.4899i | −0.240166 | − | 0.525891i | ||||
\(659\) | 29.7006 | − | 19.0874i | 1.15697 | − | 0.743539i | 0.185955 | − | 0.982558i | \(-0.440462\pi\) |
0.971015 | + | 0.239019i | \(0.0768258\pi\) | |||||||
\(660\) | −0.478234 | − | 0.140422i | −0.0186152 | − | 0.00546593i | ||||
\(661\) | −0.434692 | − | 3.02335i | −0.0169076 | − | 0.117595i | 0.979620 | − | 0.200861i | \(-0.0643739\pi\) |
−0.996527 | + | 0.0832662i | \(0.973465\pi\) | |||||||
\(662\) | −2.50633 | + | 5.48810i | −0.0974112 | + | 0.213301i | ||||
\(663\) | 0.723766 | − | 5.03390i | 0.0281087 | − | 0.195501i | ||||
\(664\) | 62.9400 | + | 40.4491i | 2.44254 | + | 1.56973i | ||||
\(665\) | −0.898983 | − | 1.03748i | −0.0348611 | − | 0.0402318i | ||||
\(666\) | −1.30209 | −0.0504549 | ||||||||
\(667\) | 3.54170 | + | 9.17230i | 0.137135 | + | 0.355153i | ||||
\(668\) | −109.165 | −4.22371 | ||||||||
\(669\) | −5.78761 | − | 6.67925i | −0.223762 | − | 0.258235i | ||||
\(670\) | −29.6480 | − | 19.0536i | −1.14540 | − | 0.736105i | ||||
\(671\) | 0.0826878 | − | 0.575106i | 0.00319213 | − | 0.0222017i | ||||
\(672\) | −1.42815 | + | 3.12721i | −0.0550920 | + | 0.120635i | ||||
\(673\) | −5.92268 | − | 41.1931i | −0.228302 | − | 1.58788i | −0.705258 | − | 0.708951i | \(-0.749169\pi\) |
0.476956 | − | 0.878927i | \(-0.341740\pi\) | |||||||
\(674\) | 71.5694 | + | 21.0147i | 2.75675 | + | 0.809454i | ||||
\(675\) | −3.36501 | + | 2.16256i | −0.129519 | + | 0.0832371i | ||||
\(676\) | −20.2842 | − | 44.4163i | −0.780163 | − | 1.70832i | ||||
\(677\) | 26.9914 | − | 7.92539i | 1.03736 | − | 0.304597i | 0.281662 | − | 0.959514i | \(-0.409114\pi\) |
0.755701 | + | 0.654916i | \(0.227296\pi\) | |||||||
\(678\) | 13.4369 | − | 15.5071i | 0.516042 | − | 0.595545i | ||||
\(679\) | −5.06196 | + | 5.84182i | −0.194260 | + | 0.224188i | ||||
\(680\) | −21.8650 | + | 6.42015i | −0.838486 | + | 0.246202i | ||||
\(681\) | −11.1313 | − | 24.3741i | −0.426552 | − | 0.934019i | ||||
\(682\) | −1.44078 | + | 0.925932i | −0.0551702 | + | 0.0354558i | ||||
\(683\) | −2.95583 | − | 0.867909i | −0.113102 | − | 0.0332096i | 0.224692 | − | 0.974430i | \(-0.427862\pi\) |
−0.337794 | + | 0.941220i | \(0.609681\pi\) | |||||||
\(684\) | 0.843376 | + | 5.86581i | 0.0322473 | + | 0.224285i | ||||
\(685\) | −7.29085 | + | 15.9647i | −0.278569 | + | 0.609981i | ||||
\(686\) | 0.357685 | − | 2.48775i | 0.0136565 | − | 0.0949829i | ||||
\(687\) | −5.87664 | − | 3.77669i | −0.224208 | − | 0.144090i | ||||
\(688\) | 25.9000 | + | 29.8902i | 0.987429 | + | 1.13955i | ||||
\(689\) | −5.69503 | −0.216963 | ||||||||
\(690\) | −12.0319 | − | 0.721655i | −0.458047 | − | 0.0274729i | ||||
\(691\) | −36.8765 | −1.40285 | −0.701424 | − | 0.712744i | \(-0.747452\pi\) | ||||
−0.701424 | + | 0.712744i | \(0.747452\pi\) | |||||||
\(692\) | −3.70934 | − | 4.28081i | −0.141008 | − | 0.162732i | ||||
\(693\) | −0.0971309 | − | 0.0624222i | −0.00368970 | − | 0.00237122i | ||||
\(694\) | −9.66385 | + | 67.2135i | −0.366835 | + | 2.55139i | ||||
\(695\) | 1.61624 | − | 3.53908i | 0.0613076 | − | 0.134245i | ||||
\(696\) | −1.69900 | − | 11.8168i | −0.0644005 | − | 0.447916i | ||||
\(697\) | −35.3309 | − | 10.3741i | −1.33825 | − | 0.392947i | ||||
\(698\) | 8.07670 | − | 5.19058i | 0.305707 | − | 0.196466i | ||||
\(699\) | −2.32086 | − | 5.08196i | −0.0877828 | − | 0.192218i | ||||
\(700\) | 16.5680 | − | 4.86480i | 0.626212 | − | 0.183872i | ||||
\(701\) | −20.7757 | + | 23.9764i | −0.784686 | + | 0.905576i | −0.997438 | − | 0.0715304i | \(-0.977212\pi\) |
0.212753 | + | 0.977106i | \(0.431757\pi\) | |||||||
\(702\) | −2.13890 | + | 2.46842i | −0.0807276 | + | 0.0931646i | ||||
\(703\) | 0.682393 | − | 0.200369i | 0.0257369 | − | 0.00755705i | ||||
\(704\) | 0.161283 | + | 0.353161i | 0.00607858 | + | 0.0133102i | ||||
\(705\) | −4.96386 | + | 3.19008i | −0.186950 | + | 0.120145i | ||||
\(706\) | 7.70633 | + | 2.26278i | 0.290031 | + | 0.0851609i | ||||
\(707\) | 1.17272 | + | 8.15647i | 0.0441048 | + | 0.306756i | ||||
\(708\) | −6.46962 | + | 14.1665i | −0.243143 | + | 0.532409i | ||||
\(709\) | 3.96744 | − | 27.5941i | 0.149000 | − | 1.03632i | −0.768861 | − | 0.639416i | \(-0.779176\pi\) |
0.917861 | − | 0.396902i | \(-0.129915\pi\) | |||||||
\(710\) | 20.1645 | + | 12.9590i | 0.756762 | + | 0.486341i | ||||
\(711\) | −6.18782 | − | 7.14113i | −0.232061 | − | 0.267813i | ||||
\(712\) | 29.6519 | 1.11125 | ||||||||
\(713\) | −19.7828 | + | 20.2429i | −0.740873 | + | 0.758102i | ||||
\(714\) | −9.83576 | −0.368094 | ||||||||
\(715\) | 0.0982585 | + | 0.113396i | 0.00367466 | + | 0.00424078i | ||||
\(716\) | −12.1641 | − | 7.81738i | −0.454593 | − | 0.292149i | ||||
\(717\) | 2.35052 | − | 16.3482i | 0.0877819 | − | 0.610537i | ||||
\(718\) | −16.0751 | + | 35.1996i | −0.599917 | + | 1.31364i | ||||
\(719\) | −4.25422 | − | 29.5887i | −0.158656 | − | 1.10347i | −0.901114 | − | 0.433582i | \(-0.857249\pi\) |
0.742458 | − | 0.669892i | \(-0.233660\pi\) | |||||||
\(720\) | 5.75848 | + | 1.69084i | 0.214606 | + | 0.0630139i | ||||
\(721\) | −6.07638 | + | 3.90505i | −0.226296 | + | 0.145432i | ||||
\(722\) | 17.8699 | + | 39.1296i | 0.665048 | + | 1.45625i | ||||
\(723\) | −20.1380 | + | 5.91305i | −0.748940 | + | 0.219909i | ||||
\(724\) | −40.9343 | + | 47.2407i | −1.52131 | + | 1.75569i | ||||
\(725\) | −5.37034 | + | 6.19770i | −0.199449 | + | 0.230177i | ||||
\(726\) | −26.4947 | + | 7.77954i | −0.983310 | + | 0.288726i | ||||
\(727\) | 15.1324 | + | 33.1352i | 0.561228 | + | 1.22892i | 0.951338 | + | 0.308149i | \(0.0997097\pi\) |
−0.390110 | + | 0.920768i | \(0.627563\pi\) | |||||||
\(728\) | 6.36603 | − | 4.09120i | 0.235941 | − | 0.151630i | ||||
\(729\) | −0.959493 | − | 0.281733i | −0.0355368 | − | 0.0104345i | ||||
\(730\) | −0.213382 | − | 1.48410i | −0.00789761 | − | 0.0549291i | ||||
\(731\) | −10.7133 | + | 23.4589i | −0.396247 | + | 0.867660i | ||||
\(732\) | −3.09157 | + | 21.5024i | −0.114268 | + | 0.794750i | ||||
\(733\) | −4.64785 | − | 2.98699i | −0.171672 | − | 0.110327i | 0.451983 | − | 0.892026i | \(-0.350717\pi\) |
−0.623655 | + | 0.781700i | \(0.714353\pi\) | |||||||
\(734\) | −35.7983 | − | 41.3134i | −1.32134 | − | 1.52491i | ||||
\(735\) | −1.00000 | −0.0368856 | ||||||||
\(736\) | −10.0316 | − | 13.0845i | −0.369771 | − | 0.482301i | ||||
\(737\) | 1.61900 | 0.0596368 | ||||||||
\(738\) | 15.4866 | + | 17.8725i | 0.570069 | + | 0.657894i | ||||
\(739\) | −25.1392 | − | 16.1560i | −0.924762 | − | 0.594308i | −0.0107264 | − | 0.999942i | \(-0.503414\pi\) |
−0.914036 | + | 0.405634i | \(0.867051\pi\) | |||||||
\(740\) | 0.318279 | − | 2.21368i | 0.0117002 | − | 0.0813766i | ||||
\(741\) | 0.741098 | − | 1.62278i | 0.0272249 | − | 0.0596142i | ||||
\(742\) | 1.56750 | + | 10.9022i | 0.0575446 | + | 0.400231i | ||||
\(743\) | −36.7756 | − | 10.7983i | −1.34916 | − | 0.396151i | −0.474234 | − | 0.880399i | \(-0.657275\pi\) |
−0.874931 | + | 0.484248i | \(0.839093\pi\) | |||||||
\(744\) | 28.9113 | − | 18.5801i | 1.05994 | − | 0.681181i | ||||
\(745\) | 6.31296 | + | 13.8235i | 0.231289 | + | 0.506452i | ||||
\(746\) | −67.6718 | + | 19.8702i | −2.47764 | + | 0.727501i | ||||
\(747\) | 8.41390 | − | 9.71016i | 0.307849 | − | 0.355276i | ||||
\(748\) | 1.27734 | − | 1.47412i | 0.0467040 | − | 0.0538993i | ||||
\(749\) | 5.88893 | − | 1.72915i | 0.215177 | − | 0.0631817i | ||||
\(750\) | −9.39670 | − | 20.5759i | −0.343119 | − | 0.751326i | ||||
\(751\) | −5.12622 | + | 3.29442i | −0.187059 | + | 0.120215i | −0.630818 | − | 0.775931i | \(-0.717281\pi\) |
0.443760 | + | 0.896146i | \(0.353644\pi\) | |||||||
\(752\) | −33.9782 | − | 9.97689i | −1.23906 | − | 0.363820i | ||||
\(753\) | −2.86162 | − | 19.9030i | −0.104283 | − | 0.725305i | ||||
\(754\) | −2.78174 | + | 6.09116i | −0.101305 | + | 0.221827i | ||||
\(755\) | 0.408905 | − | 2.84400i | 0.0148816 | − | 0.103504i | ||||
\(756\) | 3.63158 | + | 2.33387i | 0.132079 | + | 0.0848821i | ||||
\(757\) | 18.3350 | + | 21.1597i | 0.666395 | + | 0.769061i | 0.983808 | − | 0.179227i | \(-0.0573595\pi\) |
−0.317413 | + | 0.948287i | \(0.602814\pi\) | |||||||
\(758\) | −90.8230 | −3.29884 | ||||||||
\(759\) | 0.482911 | − | 0.270940i | 0.0175286 | − | 0.00983451i | ||||
\(760\) | −7.99381 | −0.289966 | ||||||||
\(761\) | −4.02529 | − | 4.64544i | −0.145917 | − | 0.168397i | 0.678086 | − | 0.734982i | \(-0.262810\pi\) |
−0.824003 | + | 0.566585i | \(0.808264\pi\) | |||||||
\(762\) | 5.51698 | + | 3.54555i | 0.199859 | + | 0.128442i | ||||
\(763\) | 0.827474 | − | 5.75521i | 0.0299566 | − | 0.208353i | ||||
\(764\) | −16.8868 | + | 36.9769i | −0.610942 | + | 1.33778i | ||||
\(765\) | 0.556939 | + | 3.87359i | 0.0201362 | + | 0.140050i | ||||
\(766\) | 4.35830 | + | 1.27971i | 0.157472 | + | 0.0462379i | ||||
\(767\) | 3.94408 | − | 2.53471i | 0.142413 | − | 0.0915230i | ||||
\(768\) | −13.2090 | − | 28.9236i | −0.476637 | − | 1.04369i | ||||
\(769\) | 44.3543 | − | 13.0236i | 1.59946 | − | 0.469643i | 0.644061 | − | 0.764974i | \(-0.277248\pi\) |
0.955395 | + | 0.295331i | \(0.0954299\pi\) | |||||||
\(770\) | 0.190033 | − | 0.219310i | 0.00684833 | − | 0.00790340i | ||||
\(771\) | 3.88735 | − | 4.48624i | 0.139999 | − | 0.161568i | ||||
\(772\) | 60.0037 | − | 17.6187i | 2.15958 | − | 0.634110i | ||||
\(773\) | 4.33722 | + | 9.49720i | 0.155999 | + | 0.341590i | 0.971453 | − | 0.237231i | \(-0.0762399\pi\) |
−0.815454 | + | 0.578822i | \(0.803513\pi\) | |||||||
\(774\) | 13.9336 | − | 8.95457i | 0.500833 | − | 0.321866i | ||||
\(775\) | −22.6512 | − | 6.65099i | −0.813654 | − | 0.238910i | ||||
\(776\) | 6.40577 | + | 44.5531i | 0.229954 | + | 1.59936i | ||||
\(777\) | 0.215215 | − | 0.471255i | 0.00772079 | − | 0.0169062i | ||||
\(778\) | −9.94845 | + | 69.1930i | −0.356669 | + | 2.48069i | ||||
\(779\) | −10.8664 | − | 6.98340i | −0.389329 | − | 0.250206i | ||||
\(780\) | −3.67374 | − | 4.23972i | −0.131541 | − | 0.151806i | ||||
\(781\) | −1.10114 | −0.0394018 | ||||||||
\(782\) | 22.1292 | − | 41.6578i | 0.791338 | − | 1.48968i | ||||
\(783\) | −2.05018 | −0.0732676 | ||||||||
\(784\) | −3.93020 | − | 4.53569i | −0.140364 | − | 0.161989i | ||||
\(785\) | 0.0692871 | + | 0.0445281i | 0.00247296 | + | 0.00158928i | ||||
\(786\) | 6.35386 | − | 44.1921i | 0.226635 | − | 1.57628i | ||||
\(787\) | −11.5014 | + | 25.1846i | −0.409982 | + | 0.897736i | 0.586178 | + | 0.810182i | \(0.300632\pi\) |
−0.996160 | + | 0.0875531i | \(0.972095\pi\) | |||||||
\(788\) | −13.8525 | − | 96.3462i | −0.493474 | − | 3.43219i | ||||
\(789\) | −5.93759 | − | 1.74343i | −0.211384 | − | 0.0620679i | ||||
\(790\) | 19.9787 | − | 12.8395i | 0.710809 | − | 0.456809i | ||||
\(791\) | 3.39143 | + | 7.42619i | 0.120585 | + | 0.264045i | ||||
\(792\) | −0.645095 | + | 0.189417i | −0.0229224 | + | 0.00673063i | ||||
\(793\) | 4.28253 | − | 4.94230i | 0.152077 | − | 0.175506i | ||||
\(794\) | −56.9873 | + | 65.7668i | −2.02240 | + | 2.33398i | ||||
\(795\) | 4.20482 | − | 1.23465i | 0.149130 | − | 0.0437884i | ||||
\(796\) | 0.610617 | + | 1.33706i | 0.0216427 | + | 0.0473910i | ||||
\(797\) | 7.43814 | − | 4.78021i | 0.263473 | − | 0.169324i | −0.402235 | − | 0.915537i | \(-0.631766\pi\) |
0.665707 | + | 0.746213i | \(0.268130\pi\) | |||||||
\(798\) | −3.31051 | − | 0.972054i | −0.117191 | − | 0.0344103i | ||||
\(799\) | −3.28624 | − | 22.8563i | −0.116259 | − | 0.808598i | ||||
\(800\) | 5.71259 | − | 12.5088i | 0.201971 | − | 0.442254i | ||||
\(801\) | 0.724688 | − | 5.04031i | 0.0256056 | − | 0.178091i | ||||
\(802\) | 11.9825 | + | 7.70071i | 0.423118 | + | 0.271922i | ||||
\(803\) | 0.0451062 | + | 0.0520553i | 0.00159176 | + | 0.00183699i | ||||
\(804\) | −60.5321 | −2.13480 | ||||||||
\(805\) | 2.24987 | − | 4.23534i | 0.0792975 | − | 0.149276i | ||||
\(806\) | −19.2766 | −0.678989 | ||||||||
\(807\) | 13.2536 | + | 15.2954i | 0.466548 | + | 0.538425i | ||||
\(808\) | 40.3667 | + | 25.9421i | 1.42010 | + | 0.912641i | ||||
\(809\) | 3.99829 | − | 27.8087i | 0.140573 | − | 0.977703i | −0.790394 | − | 0.612599i | \(-0.790124\pi\) |
0.930967 | − | 0.365105i | \(-0.118967\pi\) | |||||||
\(810\) | 1.04408 | − | 2.28621i | 0.0366852 | − | 0.0803293i | ||||
\(811\) | 5.12069 | + | 35.6152i | 0.179812 | + | 1.25062i | 0.857197 | + | 0.514989i | \(0.172204\pi\) |
−0.677385 | + | 0.735629i | \(0.736887\pi\) | |||||||
\(812\) | 8.49186 | + | 2.49344i | 0.298006 | + | 0.0875024i | ||||
\(813\) | −25.1584 | + | 16.1684i | −0.882345 | + | 0.567049i | ||||
\(814\) | 0.0624530 | + | 0.136753i | 0.00218898 | + | 0.00479319i | ||||
\(815\) | 0.223516 | − | 0.0656302i | 0.00782942 | − | 0.00229893i | ||||
\(816\) | −15.3806 | + | 17.7501i | −0.538427 | + | 0.621378i | ||||
\(817\) | −5.92430 | + | 6.83701i | −0.207265 | + | 0.239197i | ||||
\(818\) | 87.4564 | − | 25.6795i | 3.05784 | − | 0.897863i | ||||
\(819\) | −0.539850 | − | 1.18211i | −0.0188639 | − | 0.0413061i | ||||
\(820\) | −34.1705 | + | 21.9600i | −1.19328 | + | 0.766877i | ||||
\(821\) | −26.2119 | − | 7.69651i | −0.914802 | − | 0.268610i | −0.209741 | − | 0.977757i | \(-0.567262\pi\) |
−0.705061 | + | 0.709147i | \(0.749080\pi\) | |||||||
\(822\) | 6.27765 | + | 43.6620i | 0.218958 | + | 1.52289i | ||||
\(823\) | 13.6863 | − | 29.9688i | 0.477074 | − | 1.04465i | −0.506184 | − | 0.862426i | \(-0.668944\pi\) |
0.983258 | − | 0.182221i | \(-0.0583286\pi\) | |||||||
\(824\) | −5.98576 | + | 41.6319i | −0.208524 | + | 1.45032i | ||||
\(825\) | 0.388524 | + | 0.249689i | 0.0135267 | + | 0.00869305i | ||||
\(826\) | −5.93783 | − | 6.85262i | −0.206604 | − | 0.238433i | ||||
\(827\) | −6.26818 | −0.217966 | −0.108983 | − | 0.994044i | \(-0.534759\pi\) | ||||
−0.108983 | + | 0.994044i | \(0.534759\pi\) | |||||||
\(828\) | −18.0553 | + | 10.1300i | −0.627465 | + | 0.352043i | ||||
\(829\) | −9.77224 | −0.339404 | −0.169702 | − | 0.985495i | \(-0.554280\pi\) | ||||
−0.169702 | + | 0.985495i | \(0.554280\pi\) | |||||||
\(830\) | 21.1470 | + | 24.4049i | 0.734022 | + | 0.847107i | ||||
\(831\) | 13.7056 | + | 8.80805i | 0.475442 | + | 0.305548i | ||||
\(832\) | −0.621895 | + | 4.32537i | −0.0215603 | + | 0.149955i | ||||
\(833\) | 1.62570 | − | 3.55978i | 0.0563270 | − | 0.123339i | ||||
\(834\) | −1.39163 | − | 9.67903i | −0.0481884 | − | 0.335157i | ||||
\(835\) | −24.2636 | − | 7.12445i | −0.839678 | − | 0.246552i | ||||
\(836\) | 0.575610 | − | 0.369922i | 0.0199079 | − | 0.0127940i | ||||
\(837\) | −2.45172 | − | 5.36852i | −0.0847439 | − | 0.185563i | ||||
\(838\) | −12.2509 | + | 3.59719i | −0.423200 | + | 0.124263i | ||||
\(839\) | 15.0019 | − | 17.3131i | 0.517924 | − | 0.597716i | −0.435186 | − | 0.900341i | \(-0.643317\pi\) |
0.953110 | + | 0.302624i | \(0.0978628\pi\) | |||||||
\(840\) | −3.81329 | + | 4.40077i | −0.131571 | + | 0.151841i | ||||
\(841\) | 23.7923 | − | 6.98605i | 0.820424 | − | 0.240898i | ||||
\(842\) | 0.515539 | + | 1.12887i | 0.0177666 | + | 0.0389035i | ||||
\(843\) | 22.4731 | − | 14.4426i | 0.774014 | − | 0.497429i | ||||
\(844\) | 96.6211 | + | 28.3705i | 3.32584 | + | 0.976554i | ||||
\(845\) | −1.60975 | − | 11.1961i | −0.0553771 | − | 0.385156i | ||||
\(846\) | −6.16063 | + | 13.4899i | −0.211807 | + | 0.463792i | ||||
\(847\) | 1.56357 | − | 10.8748i | 0.0537248 | − | 0.373664i | ||||
\(848\) | 22.1258 | + | 14.2194i | 0.759802 | + | 0.488295i | ||||
\(849\) | −12.0216 | − | 13.8737i | −0.412581 | − | 0.476144i | ||||
\(850\) | 39.3430 | 1.34946 | ||||||||
\(851\) | 1.51172 | + | 1.97177i | 0.0518210 | + | 0.0675914i | ||||
\(852\) | 41.1698 | 1.41045 | ||||||||
\(853\) | 7.52600 | + | 8.68547i | 0.257685 | + | 0.297385i | 0.869820 | − | 0.493369i | \(-0.164235\pi\) |
−0.612135 | + | 0.790753i | \(0.709689\pi\) | |||||||
\(854\) | −10.6399 | − | 6.83786i | −0.364091 | − | 0.233987i | ||||
\(855\) | −0.195368 | + | 1.35881i | −0.00668144 | + | 0.0464704i | ||||
\(856\) | 14.8466 | − | 32.5096i | 0.507448 | − | 1.11116i | ||||
\(857\) | 0.576295 | + | 4.00822i | 0.0196859 | + | 0.136918i | 0.997294 | − | 0.0735150i | \(-0.0234217\pi\) |
−0.977608 | + | 0.210433i | \(0.932513\pi\) | |||||||
\(858\) | 0.361838 | + | 0.106245i | 0.0123529 | + | 0.00362715i | ||||
\(859\) | 42.8840 | − | 27.5599i | 1.46318 | − | 0.940330i | 0.464688 | − | 0.885474i | \(-0.346166\pi\) |
0.998494 | − | 0.0548562i | \(-0.0174700\pi\) | |||||||
\(860\) | 11.8178 | + | 25.8773i | 0.402983 | + | 0.882410i | ||||
\(861\) | −9.02812 | + | 2.65090i | −0.307678 | + | 0.0903423i | ||||
\(862\) | −58.2496 | + | 67.2236i | −1.98399 | + | 2.28965i | ||||
\(863\) | 24.4701 | − | 28.2400i | 0.832971 | − | 0.961300i | −0.166724 | − | 0.986004i | \(-0.553319\pi\) |
0.999695 | + | 0.0247036i | \(0.00786421\pi\) | |||||||
\(864\) | 3.29862 | − | 0.968563i | 0.112221 | − | 0.0329512i | ||||
\(865\) | −0.545082 | − | 1.19356i | −0.0185333 | − | 0.0405823i | ||||
\(866\) | −28.5769 | + | 18.3652i | −0.971082 | + | 0.624076i | ||||
\(867\) | 1.61684 | + | 0.474746i | 0.0549106 | + | 0.0161232i | ||||
\(868\) | 3.62583 | + | 25.2182i | 0.123069 | + | 0.855962i | ||||
\(869\) | −0.453212 | + | 0.992396i | −0.0153742 | + | 0.0336647i | ||||
\(870\) | 0.733320 | − | 5.10035i | 0.0248619 | − | 0.172918i | ||||
\(871\) | 15.3298 | + | 9.85184i | 0.519429 | + | 0.333817i | ||||
\(872\) | −22.1720 | − | 25.5878i | −0.750838 | − | 0.866513i | ||||
\(873\) | 7.72983 | 0.261615 | ||||||||
\(874\) | 11.5652 | − | 11.8341i | 0.391199 | − | 0.400296i | ||||
\(875\) | 9.00000 | 0.304256 | ||||||||
\(876\) | −1.68645 | − | 1.94627i | −0.0569799 | − | 0.0657583i | ||||
\(877\) | −31.8890 | − | 20.4938i | −1.07681 | − | 0.692027i | −0.122995 | − | 0.992407i | \(-0.539250\pi\) |
−0.953819 | + | 0.300381i | \(0.902886\pi\) | |||||||
\(878\) | −5.74867 | + | 39.9829i | −0.194008 | + | 1.34936i | ||||
\(879\) | −2.69452 | + | 5.90018i | −0.0908839 | + | 0.199008i | ||||
\(880\) | −0.0986158 | − | 0.685888i | −0.00332434 | − | 0.0231213i | ||||
\(881\) | 8.58129 | + | 2.51969i | 0.289111 | + | 0.0848906i | 0.423072 | − | 0.906096i | \(-0.360952\pi\) |
−0.133961 | + | 0.990987i | \(0.542770\pi\) | |||||||
\(882\) | −2.11435 | + | 1.35881i | −0.0711940 | + | 0.0457536i | ||||
\(883\) | 0.637485 | + | 1.39590i | 0.0214531 | + | 0.0469757i | 0.920055 | − | 0.391789i | \(-0.128144\pi\) |
−0.898602 | + | 0.438764i | \(0.855416\pi\) | |||||||
\(884\) | 21.0648 | − | 6.18519i | 0.708487 | − | 0.208031i | ||||
\(885\) | −2.36253 | + | 2.72650i | −0.0794156 | + | 0.0916504i | ||||
\(886\) | −50.5897 | + | 58.3836i | −1.69959 | + | 1.96144i | ||||
\(887\) | −34.3034 | + | 10.0724i | −1.15180 | + | 0.338198i | −0.801239 | − | 0.598344i | \(-0.795826\pi\) |
−0.350556 | + | 0.936542i | \(0.614007\pi\) | |||||||
\(888\) | −1.25321 | − | 2.74414i | −0.0420549 | − | 0.0920875i | ||||
\(889\) | −2.19508 | + | 1.41069i | −0.0736206 | + | 0.0473131i | ||||
\(890\) | 12.2799 | + | 3.60569i | 0.411622 | + | 0.120863i | ||||
\(891\) | 0.0164316 | + | 0.114284i | 0.000550480 | + | 0.00382867i | ||||
\(892\) | 15.8490 | − | 34.7044i | 0.530662 | − | 1.16199i | ||||
\(893\) | 1.15278 | − | 8.01774i | 0.0385762 | − | 0.268303i | ||||
\(894\) | 32.1313 | + | 20.6495i | 1.07463 | + | 0.690624i | ||||
\(895\) | −2.19348 | − | 2.53141i | −0.0733198 | − | 0.0846156i | ||||
\(896\) | 15.3271 | 0.512043 | ||||||||
\(897\) | 6.22121 | + | 0.373138i | 0.207720 | + | 0.0124587i | ||||
\(898\) | 86.0790 | 2.87249 | ||||||||
\(899\) | −7.92375 | − | 9.14449i | −0.264272 | − | 0.304986i | ||||
\(900\) | −14.5263 | − | 9.33549i | −0.484210 | − | 0.311183i | ||||
\(901\) | −2.44069 | + | 16.9754i | −0.0813112 | + | 0.565532i | ||||
\(902\) | 1.13428 | − | 2.48372i | 0.0377673 | − | 0.0826988i | ||||
\(903\) | 0.937855 | + | 6.52292i | 0.0312099 | + | 0.217069i | ||||
\(904\) | 45.6135 | + | 13.3933i | 1.51708 | + | 0.445456i | ||||
\(905\) | −12.1814 | + | 7.82850i | −0.404923 | + | 0.260228i | ||||
\(906\) | −2.99989 | − | 6.56884i | −0.0996646 | − | 0.218235i | ||||
\(907\) | 28.7411 | − | 8.43916i | 0.954334 | − | 0.280218i | 0.232744 | − | 0.972538i | \(-0.425230\pi\) |
0.721590 | + | 0.692320i | \(0.243411\pi\) | |||||||
\(908\) | 75.7497 | − | 87.4198i | 2.51384 | − | 2.90113i | ||||
\(909\) | 5.39628 | − | 6.22764i | 0.178983 | − | 0.206558i | ||||
\(910\) | 3.13389 | − | 0.920192i | 0.103887 | − | 0.0305041i | ||||
\(911\) | −6.01182 | − | 13.1641i | −0.199181 | − | 0.436145i | 0.783515 | − | 0.621373i | \(-0.213425\pi\) |
−0.982696 | + | 0.185228i | \(0.940698\pi\) | |||||||
\(912\) | −6.93099 | + | 4.45428i | −0.229508 | + | 0.147496i | ||||
\(913\) | −1.42338 | − | 0.417942i | −0.0471070 | − | 0.0138319i | ||||
\(914\) | −7.36363 | − | 51.2152i | −0.243567 | − | 1.69405i | ||||
\(915\) | −2.09047 | + | 4.57748i | −0.0691087 | + | 0.151327i | ||||
\(916\) | 4.29161 | − | 29.8488i | 0.141799 | − | 0.986233i | ||||
\(917\) | 14.9439 | + | 9.60386i | 0.493491 | + | 0.317147i | ||||
\(918\) | 6.44105 | + | 7.43337i | 0.212586 | + | 0.245338i | ||||
\(919\) | −54.7339 | −1.80551 | −0.902753 | − | 0.430159i | \(-0.858457\pi\) | ||||
−0.902753 | + | 0.430159i | \(0.858457\pi\) | |||||||
\(920\) | −10.0594 | − | 26.0517i | −0.331647 | − | 0.858901i | ||||
\(921\) | −27.1872 | −0.895850 | ||||||||
\(922\) | 55.6729 | + | 64.2500i | 1.83349 | + | 2.11596i | ||||
\(923\) | −10.4263 | − | 6.70054i | −0.343184 | − | 0.220551i | ||||
\(924\) | 0.0709331 | − | 0.493351i | 0.00233353 | − | 0.0162300i | ||||
\(925\) | −0.860859 | + | 1.88502i | −0.0283049 | + | 0.0619791i | ||||
\(926\) | −2.60565 | − | 18.1227i | −0.0856269 | − | 0.595548i | ||||
\(927\) | 6.93043 | + | 2.03496i | 0.227625 | + | 0.0668367i | ||||
\(928\) | 5.92940 | − | 3.81059i | 0.194642 | − | 0.125089i | ||||
\(929\) | −15.4216 | − | 33.7685i | −0.505965 | − | 1.10791i | −0.974484 | − | 0.224455i | \(-0.927940\pi\) |
0.468520 | − | 0.883453i | \(-0.344788\pi\) | |||||||
\(930\) | 14.2325 | − | 4.17904i | 0.466702 | − | 0.137036i | ||||
\(931\) | 0.898983 | − | 1.03748i | 0.0294630 | − | 0.0340021i | ||||
\(932\) | 15.7937 | − | 18.2269i | 0.517339 | − | 0.597041i | ||||
\(933\) | 16.5023 | − | 4.84551i | 0.540261 | − | 0.158635i | ||||
\(934\) | −0.573735 | − | 1.25631i | −0.0187732 | − | 0.0411076i | ||||
\(935\) | 0.380115 | − | 0.244285i | 0.0124311 | − | 0.00798897i | ||||
\(936\) | −7.26079 | − | 2.13196i | −0.237326 | − | 0.0696853i | ||||
\(937\) | −4.67933 | − | 32.5454i | −0.152867 | − | 1.06321i | −0.911383 | − | 0.411559i | \(-0.864984\pi\) |
0.758516 | − | 0.651654i | \(-0.225925\pi\) | |||||||
\(938\) | 14.6403 | − | 32.0578i | 0.478023 | − | 1.04673i | ||||
\(939\) | −4.54656 | + | 31.6220i | −0.148371 | + | 1.03195i | ||||
\(940\) | −21.4283 | − | 13.7711i | −0.698914 | − | 0.449164i | ||||
\(941\) | −2.93300 | − | 3.38486i | −0.0956129 | − | 0.110343i | 0.705927 | − | 0.708285i | \(-0.250531\pi\) |
−0.801540 | + | 0.597942i | \(0.795985\pi\) | |||||||
\(942\) | 0.207003 | 0.00674452 | ||||||||
\(943\) | 9.08465 | − | 44.2013i | 0.295837 | − | 1.43939i | ||||
\(944\) | −21.6518 | −0.704706 | ||||||||
\(945\) | 0.654861 | + | 0.755750i | 0.0213026 | + | 0.0245845i | ||||
\(946\) | −1.60877 | − | 1.03389i | −0.0523056 | − | 0.0336147i | ||||
\(947\) | 0.593050 | − | 4.12475i | 0.0192715 | − | 0.134036i | −0.977914 | − | 0.209006i | \(-0.932977\pi\) |
0.997186 | + | 0.0749700i | \(0.0238861\pi\) | |||||||
\(948\) | 16.9449 | − | 37.1042i | 0.550345 | − | 1.20509i | ||||
\(949\) | 0.110331 | + | 0.767368i | 0.00358149 | + | 0.0249098i | ||||
\(950\) | 13.2421 | + | 3.88822i | 0.429629 | + | 0.126150i | ||||
\(951\) | −4.18743 | + | 2.69110i | −0.135787 | + | 0.0872649i | ||||
\(952\) | −9.46652 | − | 20.7288i | −0.306812 | − | 0.671824i | ||||
\(953\) | −14.2636 | + | 4.18816i | −0.462042 | + | 0.135668i | −0.504466 | − | 0.863432i | \(-0.668310\pi\) |
0.0424231 | + | 0.999100i | \(0.486492\pi\) | |||||||
\(954\) | 7.21282 | − | 8.32404i | 0.233524 | − | 0.269501i | ||||
\(955\) | −6.16659 | + | 7.11662i | −0.199546 | + | 0.230288i | ||||
\(956\) | 68.4108 | − | 20.0872i | 2.21256 | − | 0.649667i | ||||
\(957\) | 0.0983344 | + | 0.215322i | 0.00317870 | + | 0.00696038i | ||||
\(958\) | −48.8800 | + | 31.4133i | −1.57924 | + | 1.01492i | ||||
\(959\) | −16.8398 | − | 4.94462i | −0.543787 | − | 0.159670i | ||||
\(960\) | −0.478549 | − | 3.32838i | −0.0154451 | − | 0.107423i | ||||
\(961\) | 1.59185 | − | 3.48567i | 0.0513501 | − | 0.112441i | ||||
\(962\) | −0.240814 | + | 1.67490i | −0.00776415 | + | 0.0540009i | ||||
\(963\) | −5.16323 | − | 3.31821i | −0.166383 | − | 0.106928i | ||||
\(964\) | −59.3324 | − | 68.4732i | −1.91097 | − | 2.20537i | ||||
\(965\) | 14.4866 | 0.466342 | ||||||||
\(966\) | −0.998011 | − | 12.0122i | −0.0321105 | − | 0.386485i | ||||
\(967\) | −14.1305 | −0.454405 | −0.227203 | − | 0.973848i | \(-0.572958\pi\) | ||||
−0.227203 | + | 0.973848i | \(0.572958\pi\) | |||||||
\(968\) | −41.8954 | − | 48.3498i | −1.34657 | − | 1.55402i | ||||
\(969\) | −4.51946 | − | 2.90448i | −0.145186 | − | 0.0933054i | ||||
\(970\) | −2.76485 | + | 19.2299i | −0.0887739 | + | 0.617436i | ||||
\(971\) | −11.2959 | + | 24.7346i | −0.362503 | + | 0.793770i | 0.637230 | + | 0.770673i | \(0.280080\pi\) |
−0.999733 | + | 0.0230971i | \(0.992647\pi\) | |||||||
\(972\) | −0.614354 | − | 4.27292i | −0.0197054 | − | 0.137054i | ||||
\(973\) | 3.73307 | + | 1.09613i | 0.119677 | + | 0.0351403i | ||||
\(974\) | 45.2679 | − | 29.0919i | 1.45048 | − | 0.932165i | ||||
\(975\) | 2.15940 | + | 4.72842i | 0.0691561 | + | 0.151431i | ||||
\(976\) | −28.9780 | + | 8.50871i | −0.927563 | + | 0.272357i | ||||
\(977\) | −21.3710 | + | 24.6635i | −0.683720 | + | 0.789055i | −0.986457 | − | 0.164019i | \(-0.947554\pi\) |
0.302737 | + | 0.953074i | \(0.402100\pi\) | |||||||
\(978\) | 0.383413 | − | 0.442482i | 0.0122602 | − | 0.0141490i | ||||
\(979\) | −0.564122 | + | 0.165641i | −0.0180294 | + | 0.00529391i | ||||
\(980\) | −1.79329 | − | 3.92676i | −0.0572845 | − | 0.125436i | ||||
\(981\) | −4.89138 | + | 3.14350i | −0.156170 | + | 0.100364i | ||||
\(982\) | 22.3362 | + | 6.55850i | 0.712777 | + | 0.209290i | ||||
\(983\) | −4.18829 | − | 29.1302i | −0.133586 | − | 0.929109i | −0.940827 | − | 0.338887i | \(-0.889949\pi\) |
0.807241 | − | 0.590222i | \(-0.200960\pi\) | |||||||
\(984\) | −22.7609 | + | 49.8394i | −0.725590 | + | 1.58882i | ||||
\(985\) | 3.20892 | − | 22.3186i | 0.102245 | − | 0.711128i | ||||
\(986\) | 16.9640 | + | 10.9021i | 0.540243 | + | 0.347193i | ||||
\(987\) | −3.86404 | − | 4.45934i | −0.122994 | − | 0.141942i | ||||
\(988\) | 7.70126 | 0.245010 | ||||||||
\(989\) | −29.7368 | − | 10.7036i | −0.945576 | − | 0.340354i | ||||
\(990\) | −0.290189 | −0.00922282 | ||||||||
\(991\) | −21.4830 | − | 24.7927i | −0.682429 | − | 0.787565i | 0.303838 | − | 0.952724i | \(-0.401732\pi\) |
−0.986267 | + | 0.165159i | \(0.947186\pi\) | |||||||
\(992\) | 17.0690 | + | 10.9695i | 0.541940 | + | 0.348284i | ||||
\(993\) | −0.341629 | + | 2.37609i | −0.0108413 | + | 0.0754028i | ||||
\(994\) | −9.95735 | + | 21.8035i | −0.315828 | + | 0.691566i | ||||
\(995\) | 0.0484583 | + | 0.337035i | 0.00153623 | + | 0.0106847i | ||||
\(996\) | 53.2180 | + | 15.6262i | 1.68628 | + | 0.495136i | ||||
\(997\) | −17.1774 | + | 11.0392i | −0.544012 | + | 0.349616i | −0.783606 | − | 0.621258i | \(-0.786622\pi\) |
0.239594 | + | 0.970873i | \(0.422986\pi\) | |||||||
\(998\) | 17.0933 | + | 37.4291i | 0.541079 | + | 1.18480i | ||||
\(999\) | −0.497086 | + | 0.145958i | −0.0157271 | + | 0.00461790i |
(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 | 483.2.q.a.358.1 | yes | 10 | |
23.16 | even | 11 | inner | 483.2.q.a.85.1 | ✓ | 10 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.q.a.85.1 | ✓ | 10 | 23.16 | even | 11 | inner | |
483.2.q.a.358.1 | yes | 10 | 1.1 | even | 1 | trivial |