Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [273,2,Mod(19,273)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(273, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 10, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("273.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 273 = 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 273.cg (of order \(12\), degree \(4\), 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: | \(2.17991597518\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(9\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 19.4 | ||
Character | \(\chi\) | \(=\) | 273.19 |
Dual form | 273.2.cg.a.115.4 |
$q$-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 \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(106\) | \(157\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{12}\right)\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.759625 | − | 0.203541i | −0.537136 | − | 0.143925i | −0.0199545 | − | 0.999801i | \(-0.506352\pi\) |
−0.517182 | + | 0.855876i | \(0.673019\pi\) | |||||||
\(3\) | − | 1.00000i | − | 0.577350i | ||||||
\(4\) | −1.19645 | − | 0.690770i | −0.598225 | − | 0.345385i | ||||
\(5\) | 2.02645 | − | 0.542987i | 0.906258 | − | 0.242831i | 0.224556 | − | 0.974461i | \(-0.427907\pi\) |
0.681702 | + | 0.731630i | \(0.261240\pi\) | |||||||
\(6\) | −0.203541 | + | 0.759625i | −0.0830952 | + | 0.310116i | ||||
\(7\) | 1.65876 | − | 2.06120i | 0.626951 | − | 0.779059i | ||||
\(8\) | 1.88042 | + | 1.88042i | 0.664829 | + | 0.664829i | ||||
\(9\) | −1.00000 | −0.333333 | ||||||||
\(10\) | −1.64986 | −0.521733 | ||||||||
\(11\) | −1.72874 | − | 1.72874i | −0.521235 | − | 0.521235i | 0.396709 | − | 0.917944i | \(-0.370152\pi\) |
−0.917944 | + | 0.396709i | \(0.870152\pi\) | |||||||
\(12\) | −0.690770 | + | 1.19645i | −0.199408 | + | 0.345385i | ||||
\(13\) | −1.96880 | + | 3.02057i | −0.546048 | + | 0.837754i | ||||
\(14\) | −1.67957 | + | 1.22811i | −0.448884 | + | 0.328227i | ||||
\(15\) | −0.542987 | − | 2.02645i | −0.140199 | − | 0.523228i | ||||
\(16\) | 0.335869 | + | 0.581741i | 0.0839672 | + | 0.145435i | ||||
\(17\) | 3.27669 | − | 5.67540i | 0.794715 | − | 1.37649i | −0.128305 | − | 0.991735i | \(-0.540954\pi\) |
0.923020 | − | 0.384752i | \(-0.125713\pi\) | |||||||
\(18\) | 0.759625 | + | 0.203541i | 0.179045 | + | 0.0479751i | ||||
\(19\) | −5.66612 | − | 5.66612i | −1.29990 | − | 1.29990i | −0.928457 | − | 0.371440i | \(-0.878864\pi\) |
−0.371440 | − | 0.928457i | \(-0.621136\pi\) | |||||||
\(20\) | −2.79963 | − | 0.750158i | −0.626016 | − | 0.167740i | ||||
\(21\) | −2.06120 | − | 1.65876i | −0.449790 | − | 0.361970i | ||||
\(22\) | 0.961326 | + | 1.66506i | 0.204955 | + | 0.354993i | ||||
\(23\) | 3.33089 | − | 1.92309i | 0.694539 | − | 0.400992i | −0.110771 | − | 0.993846i | \(-0.535332\pi\) |
0.805310 | + | 0.592854i | \(0.201999\pi\) | |||||||
\(24\) | 1.88042 | − | 1.88042i | 0.383839 | − | 0.383839i | ||||
\(25\) | −0.518448 | + | 0.299326i | −0.103690 | + | 0.0598652i | ||||
\(26\) | 2.11036 | − | 1.89376i | 0.413876 | − | 0.371398i | ||||
\(27\) | 1.00000i | 0.192450i | ||||||||
\(28\) | −3.40843 | + | 1.32030i | −0.644133 | + | 0.249513i | ||||
\(29\) | −1.25425 | + | 2.17242i | −0.232908 | + | 0.403408i | −0.958663 | − | 0.284545i | \(-0.908157\pi\) |
0.725755 | + | 0.687954i | \(0.241491\pi\) | |||||||
\(30\) | 1.64986i | 0.301223i | ||||||||
\(31\) | −0.122460 | + | 0.457027i | −0.0219945 | + | 0.0820844i | −0.976051 | − | 0.217543i | \(-0.930196\pi\) |
0.954056 | + | 0.299628i | \(0.0968624\pi\) | |||||||
\(32\) | −1.51329 | − | 5.64767i | −0.267514 | − | 0.998377i | ||||
\(33\) | −1.72874 | + | 1.72874i | −0.300935 | + | 0.300935i | ||||
\(34\) | −3.64424 | + | 3.64424i | −0.624981 | + | 0.624981i | ||||
\(35\) | 2.24219 | − | 5.07760i | 0.378999 | − | 0.858271i | ||||
\(36\) | 1.19645 | + | 0.690770i | 0.199408 | + | 0.115128i | ||||
\(37\) | −1.83026 | + | 6.83063i | −0.300893 | + | 1.12295i | 0.635530 | + | 0.772076i | \(0.280782\pi\) |
−0.936423 | + | 0.350872i | \(0.885885\pi\) | |||||||
\(38\) | 3.15084 | + | 5.45741i | 0.511134 | + | 0.885309i | ||||
\(39\) | 3.02057 | + | 1.96880i | 0.483678 | + | 0.315261i | ||||
\(40\) | 4.83163 | + | 2.78954i | 0.763948 | + | 0.441065i | ||||
\(41\) | 11.0034 | − | 2.94834i | 1.71844 | − | 0.460454i | 0.740970 | − | 0.671538i | \(-0.234366\pi\) |
0.977468 | + | 0.211084i | \(0.0676993\pi\) | |||||||
\(42\) | 1.22811 | + | 1.67957i | 0.189502 | + | 0.259163i | ||||
\(43\) | 0.810492 | − | 0.467938i | 0.123599 | − | 0.0713598i | −0.436926 | − | 0.899497i | \(-0.643933\pi\) |
0.560525 | + | 0.828138i | \(0.310599\pi\) | |||||||
\(44\) | 0.874188 | + | 3.26252i | 0.131789 | + | 0.491843i | ||||
\(45\) | −2.02645 | + | 0.542987i | −0.302086 | + | 0.0809437i | ||||
\(46\) | −2.92166 | + | 0.782855i | −0.430775 | + | 0.115426i | ||||
\(47\) | 1.88596 | + | 7.03848i | 0.275095 | + | 1.02667i | 0.955778 | + | 0.294090i | \(0.0950165\pi\) |
−0.680683 | + | 0.732578i | \(0.738317\pi\) | |||||||
\(48\) | 0.581741 | − | 0.335869i | 0.0839672 | − | 0.0484785i | ||||
\(49\) | −1.49706 | − | 6.83804i | −0.213865 | − | 0.976863i | ||||
\(50\) | 0.454751 | − | 0.121850i | 0.0643115 | − | 0.0172322i | ||||
\(51\) | −5.67540 | − | 3.27669i | −0.794715 | − | 0.458829i | ||||
\(52\) | 4.44209 | − | 2.25396i | 0.616007 | − | 0.312568i | ||||
\(53\) | −1.08341 | − | 1.87652i | −0.148818 | − | 0.257760i | 0.781973 | − | 0.623312i | \(-0.214213\pi\) |
−0.930791 | + | 0.365552i | \(0.880880\pi\) | |||||||
\(54\) | 0.203541 | − | 0.759625i | 0.0276984 | − | 0.103372i | ||||
\(55\) | −4.44190 | − | 2.56453i | −0.598945 | − | 0.345801i | ||||
\(56\) | 6.99508 | − | 0.756757i | 0.934756 | − | 0.101126i | ||||
\(57\) | −5.66612 | + | 5.66612i | −0.750496 | + | 0.750496i | ||||
\(58\) | 1.39493 | − | 1.39493i | 0.183164 | − | 0.183164i | ||||
\(59\) | 1.43782 | + | 5.36602i | 0.187188 | + | 0.698596i | 0.994152 | + | 0.107994i | \(0.0344428\pi\) |
−0.806963 | + | 0.590601i | \(0.798891\pi\) | |||||||
\(60\) | −0.750158 | + | 2.79963i | −0.0968450 | + | 0.361430i | ||||
\(61\) | 9.39241i | 1.20258i | 0.799033 | + | 0.601288i | \(0.205345\pi\) | ||||
−0.799033 | + | 0.601288i | \(0.794655\pi\) | |||||||
\(62\) | 0.186047 | − | 0.322243i | 0.0236280 | − | 0.0409249i | ||||
\(63\) | −1.65876 | + | 2.06120i | −0.208984 | + | 0.259686i | ||||
\(64\) | 3.25466i | 0.406832i | ||||||||
\(65\) | −2.34956 | + | 7.19007i | −0.291427 | + | 0.891818i | ||||
\(66\) | 1.66506 | − | 0.961326i | 0.204955 | − | 0.118331i | ||||
\(67\) | 8.15467 | − | 8.15467i | 0.996252 | − | 0.996252i | −0.00374130 | − | 0.999993i | \(-0.501191\pi\) |
0.999993 | + | 0.00374130i | \(0.00119090\pi\) | |||||||
\(68\) | −7.84080 | + | 4.52689i | −0.950837 | + | 0.548966i | ||||
\(69\) | −1.92309 | − | 3.33089i | −0.231513 | − | 0.400992i | ||||
\(70\) | −2.73672 | + | 3.40069i | −0.327101 | + | 0.406461i | ||||
\(71\) | 9.44098 | + | 2.52970i | 1.12044 | + | 0.300221i | 0.771061 | − | 0.636762i | \(-0.219726\pi\) |
0.349377 | + | 0.936982i | \(0.386393\pi\) | |||||||
\(72\) | −1.88042 | − | 1.88042i | −0.221610 | − | 0.221610i | ||||
\(73\) | 9.79963 | + | 2.62580i | 1.14696 | + | 0.307327i | 0.781746 | − | 0.623597i | \(-0.214329\pi\) |
0.365214 | + | 0.930924i | \(0.380996\pi\) | |||||||
\(74\) | 2.78062 | − | 4.81618i | 0.323241 | − | 0.559870i | ||||
\(75\) | 0.299326 | + | 0.518448i | 0.0345632 | + | 0.0598652i | ||||
\(76\) | 2.86524 | + | 10.6932i | 0.328665 | + | 1.22660i | ||||
\(77\) | −6.43083 | + | 0.695715i | −0.732862 | + | 0.0792841i | ||||
\(78\) | −1.89376 | − | 2.11036i | −0.214427 | − | 0.238951i | ||||
\(79\) | 1.07540 | − | 1.86264i | 0.120992 | − | 0.209564i | −0.799167 | − | 0.601109i | \(-0.794726\pi\) |
0.920159 | + | 0.391545i | \(0.128059\pi\) | |||||||
\(80\) | 0.996500 | + | 0.996500i | 0.111412 | + | 0.111412i | ||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | −8.95855 | −0.989306 | ||||||||
\(83\) | −1.52436 | − | 1.52436i | −0.167320 | − | 0.167320i | 0.618480 | − | 0.785801i | \(-0.287749\pi\) |
−0.785801 | + | 0.618480i | \(0.787749\pi\) | |||||||
\(84\) | 1.32030 | + | 3.40843i | 0.144056 | + | 0.371890i | ||||
\(85\) | 3.55840 | − | 13.2801i | 0.385963 | − | 1.44043i | ||||
\(86\) | −0.710914 | + | 0.190489i | −0.0766598 | + | 0.0205409i | ||||
\(87\) | 2.17242 | + | 1.25425i | 0.232908 | + | 0.134469i | ||||
\(88\) | − | 6.50152i | − | 0.693065i | ||||||
\(89\) | 6.08297 | + | 1.62993i | 0.644793 | + | 0.172772i | 0.566374 | − | 0.824149i | \(-0.308346\pi\) |
0.0784195 | + | 0.996920i | \(0.475013\pi\) | |||||||
\(90\) | 1.64986 | 0.173911 | ||||||||
\(91\) | 2.96021 | + | 9.06847i | 0.310315 | + | 0.950634i | ||||
\(92\) | −5.31366 | −0.553987 | ||||||||
\(93\) | 0.457027 | + | 0.122460i | 0.0473915 | + | 0.0126985i | ||||
\(94\) | − | 5.73048i | − | 0.591053i | ||||||
\(95\) | −14.5588 | − | 8.40550i | −1.49370 | − | 0.862386i | ||||
\(96\) | −5.64767 | + | 1.51329i | −0.576413 | + | 0.154449i | ||||
\(97\) | −4.17950 | + | 15.5981i | −0.424363 | + | 1.58375i | 0.340946 | + | 0.940083i | \(0.389253\pi\) |
−0.765309 | + | 0.643663i | \(0.777414\pi\) | |||||||
\(98\) | −0.254618 | + | 5.49906i | −0.0257203 | + | 0.555489i | ||||
\(99\) | 1.72874 | + | 1.72874i | 0.173745 | + | 0.173745i | ||||
\(100\) | 0.827063 | 0.0827063 | ||||||||
\(101\) | −3.53983 | −0.352226 | −0.176113 | − | 0.984370i | \(-0.556352\pi\) | ||||
−0.176113 | + | 0.984370i | \(0.556352\pi\) | |||||||
\(102\) | 3.64424 | + | 3.64424i | 0.360833 | + | 0.360833i | ||||
\(103\) | 4.58234 | − | 7.93684i | 0.451511 | − | 0.782041i | −0.546969 | − | 0.837153i | \(-0.684218\pi\) |
0.998480 | + | 0.0551124i | \(0.0175517\pi\) | |||||||
\(104\) | −9.38211 | + | 1.97776i | −0.919992 | + | 0.193935i | ||||
\(105\) | −5.07760 | − | 2.24219i | −0.495523 | − | 0.218815i | ||||
\(106\) | 0.441036 | + | 1.64597i | 0.0428372 | + | 0.159871i | ||||
\(107\) | 1.00880 | + | 1.74729i | 0.0975240 | + | 0.168917i | 0.910659 | − | 0.413158i | \(-0.135574\pi\) |
−0.813135 | + | 0.582075i | \(0.802241\pi\) | |||||||
\(108\) | 0.690770 | − | 1.19645i | 0.0664694 | − | 0.115128i | ||||
\(109\) | 5.44016 | + | 1.45769i | 0.521073 | + | 0.139621i | 0.509763 | − | 0.860315i | \(-0.329733\pi\) |
0.0113102 | + | 0.999936i | \(0.496400\pi\) | |||||||
\(110\) | 2.85219 | + | 2.85219i | 0.271946 | + | 0.271946i | ||||
\(111\) | 6.83063 | + | 1.83026i | 0.648335 | + | 0.173721i | ||||
\(112\) | 1.75621 | + | 0.272676i | 0.165946 | + | 0.0257655i | ||||
\(113\) | −6.20648 | − | 10.7499i | −0.583857 | − | 1.01127i | −0.995017 | − | 0.0997064i | \(-0.968210\pi\) |
0.411160 | − | 0.911563i | \(-0.365124\pi\) | |||||||
\(114\) | 5.45741 | − | 3.15084i | 0.511134 | − | 0.295103i | ||||
\(115\) | 5.70568 | − | 5.70568i | 0.532058 | − | 0.532058i | ||||
\(116\) | 3.00129 | − | 1.73279i | 0.278663 | − | 0.160886i | ||||
\(117\) | 1.96880 | − | 3.02057i | 0.182016 | − | 0.279251i | ||||
\(118\) | − | 4.36881i | − | 0.402182i | ||||||
\(119\) | −6.26288 | − | 16.1680i | −0.574117 | − | 1.48212i | ||||
\(120\) | 2.78954 | − | 4.83163i | 0.254649 | − | 0.441065i | ||||
\(121\) | − | 5.02291i | − | 0.456628i | ||||||
\(122\) | 1.91174 | − | 7.13471i | 0.173081 | − | 0.645947i | ||||
\(123\) | −2.94834 | − | 11.0034i | −0.265843 | − | 0.992141i | ||||
\(124\) | 0.462218 | − | 0.462218i | 0.0415084 | − | 0.0415084i | ||||
\(125\) | −8.30541 | + | 8.30541i | −0.742859 | + | 0.742859i | ||||
\(126\) | 1.67957 | − | 1.22811i | 0.149628 | − | 0.109409i | ||||
\(127\) | −9.05461 | − | 5.22768i | −0.803467 | − | 0.463882i | 0.0412153 | − | 0.999150i | \(-0.486877\pi\) |
−0.844682 | + | 0.535269i | \(0.820210\pi\) | |||||||
\(128\) | −2.36412 | + | 8.82303i | −0.208961 | + | 0.779853i | ||||
\(129\) | −0.467938 | − | 0.810492i | −0.0411996 | − | 0.0713598i | ||||
\(130\) | 3.24826 | − | 4.98352i | 0.284891 | − | 0.437084i | ||||
\(131\) | 18.0680 | + | 10.4315i | 1.57860 | + | 0.911408i | 0.995055 | + | 0.0993303i | \(0.0316700\pi\) |
0.583550 | + | 0.812077i | \(0.301663\pi\) | |||||||
\(132\) | 3.26252 | − | 0.874188i | 0.283965 | − | 0.0760883i | ||||
\(133\) | −21.0777 | + | 2.28027i | −1.82767 | + | 0.197725i | ||||
\(134\) | −7.85430 | + | 4.53468i | −0.678508 | + | 0.391737i | ||||
\(135\) | 0.542987 | + | 2.02645i | 0.0467328 | + | 0.174409i | ||||
\(136\) | 16.8337 | − | 4.51058i | 1.44348 | − | 0.386779i | ||||
\(137\) | −10.8897 | + | 2.91789i | −0.930370 | + | 0.249292i | −0.692012 | − | 0.721886i | \(-0.743276\pi\) |
−0.238357 | + | 0.971178i | \(0.576609\pi\) | |||||||
\(138\) | 0.782855 | + | 2.92166i | 0.0666411 | + | 0.248708i | ||||
\(139\) | 8.83314 | − | 5.09981i | 0.749217 | − | 0.432561i | −0.0761940 | − | 0.997093i | \(-0.524277\pi\) |
0.825411 | + | 0.564532i | \(0.190943\pi\) | |||||||
\(140\) | −6.19012 | + | 4.52625i | −0.523161 | + | 0.382538i | ||||
\(141\) | 7.03848 | − | 1.88596i | 0.592747 | − | 0.158826i | ||||
\(142\) | −6.65671 | − | 3.84325i | −0.558618 | − | 0.322518i | ||||
\(143\) | 8.62533 | − | 1.81822i | 0.721286 | − | 0.152048i | ||||
\(144\) | −0.335869 | − | 0.581741i | −0.0279891 | − | 0.0484785i | ||||
\(145\) | −1.36208 | + | 5.08335i | −0.113115 | + | 0.422149i | ||||
\(146\) | −6.90958 | − | 3.98925i | −0.571841 | − | 0.330153i | ||||
\(147\) | −6.83804 | + | 1.49706i | −0.563992 | + | 0.123475i | ||||
\(148\) | 6.90821 | − | 6.90821i | 0.567852 | − | 0.567852i | ||||
\(149\) | −3.32734 | + | 3.32734i | −0.272586 | + | 0.272586i | −0.830140 | − | 0.557554i | \(-0.811740\pi\) |
0.557554 | + | 0.830140i | \(0.311740\pi\) | |||||||
\(150\) | −0.121850 | − | 0.454751i | −0.00994903 | − | 0.0371303i | ||||
\(151\) | −0.151113 | + | 0.563961i | −0.0122974 | + | 0.0458945i | −0.971802 | − | 0.235799i | \(-0.924229\pi\) |
0.959505 | + | 0.281693i | \(0.0908961\pi\) | |||||||
\(152\) | − | 21.3094i | − | 1.72842i | ||||||
\(153\) | −3.27669 | + | 5.67540i | −0.264905 | + | 0.458829i | ||||
\(154\) | 5.02663 | + | 0.780455i | 0.405057 | + | 0.0628909i | ||||
\(155\) | 0.992638i | 0.0797306i | ||||||||
\(156\) | −2.25396 | − | 4.44209i | −0.180461 | − | 0.355652i | ||||
\(157\) | −9.61395 | + | 5.55061i | −0.767276 | + | 0.442987i | −0.831902 | − | 0.554922i | \(-0.812748\pi\) |
0.0646257 | + | 0.997910i | \(0.479415\pi\) | |||||||
\(158\) | −1.19602 | + | 1.19602i | −0.0951504 | + | 0.0951504i | ||||
\(159\) | −1.87652 | + | 1.08341i | −0.148818 | + | 0.0859199i | ||||
\(160\) | −6.13322 | − | 10.6231i | −0.484874 | − | 0.839826i | ||||
\(161\) | 1.56127 | − | 10.0556i | 0.123045 | − | 0.792489i | ||||
\(162\) | −0.759625 | − | 0.203541i | −0.0596818 | − | 0.0159917i | ||||
\(163\) | −11.6512 | − | 11.6512i | −0.912591 | − | 0.912591i | 0.0838846 | − | 0.996475i | \(-0.473267\pi\) |
−0.996475 | + | 0.0838846i | \(0.973267\pi\) | |||||||
\(164\) | −15.2016 | − | 4.07326i | −1.18705 | − | 0.318068i | ||||
\(165\) | −2.56453 | + | 4.44190i | −0.199648 | + | 0.345801i | ||||
\(166\) | 0.847673 | + | 1.46821i | 0.0657922 | + | 0.113955i | ||||
\(167\) | −0.00245012 | − | 0.00914399i | −0.000189596 | − | 0.000707583i | 0.965831 | − | 0.259173i | \(-0.0834499\pi\) |
−0.966021 | + | 0.258465i | \(0.916783\pi\) | |||||||
\(168\) | −0.756757 | − | 6.99508i | −0.0583851 | − | 0.539682i | ||||
\(169\) | −5.24763 | − | 11.8938i | −0.403664 | − | 0.914907i | ||||
\(170\) | −5.40610 | + | 9.36364i | −0.414629 | + | 0.718159i | ||||
\(171\) | 5.66612 | + | 5.66612i | 0.433299 | + | 0.433299i | ||||
\(172\) | −1.29295 | −0.0985865 | ||||||||
\(173\) | 20.9611 | 1.59365 | 0.796823 | − | 0.604213i | \(-0.206512\pi\) | ||||
0.796823 | + | 0.604213i | \(0.206512\pi\) | |||||||
\(174\) | −1.39493 | − | 1.39493i | −0.105750 | − | 0.105750i | ||||
\(175\) | −0.243009 | + | 1.56513i | −0.0183697 | + | 0.118313i | ||||
\(176\) | 0.425051 | − | 1.58631i | 0.0320394 | − | 0.119573i | ||||
\(177\) | 5.36602 | − | 1.43782i | 0.403334 | − | 0.108073i | ||||
\(178\) | −4.28902 | − | 2.47626i | −0.321475 | − | 0.185604i | ||||
\(179\) | − | 9.64897i | − | 0.721198i | −0.932721 | − | 0.360599i | \(-0.882572\pi\) | ||
0.932721 | − | 0.360599i | \(-0.117428\pi\) | |||||||
\(180\) | 2.79963 | + | 0.750158i | 0.208672 | + | 0.0559135i | ||||
\(181\) | −1.25766 | −0.0934813 | −0.0467407 | − | 0.998907i | \(-0.514883\pi\) | ||||
−0.0467407 | + | 0.998907i | \(0.514883\pi\) | |||||||
\(182\) | −0.402847 | − | 7.49116i | −0.0298610 | − | 0.555282i | ||||
\(183\) | 9.39241 | 0.694307 | ||||||||
\(184\) | 9.87970 | + | 2.64726i | 0.728341 | + | 0.195158i | ||||
\(185\) | 14.8358i | 1.09075i | ||||||||
\(186\) | −0.322243 | − | 0.186047i | −0.0236280 | − | 0.0136416i | ||||
\(187\) | −15.4759 | + | 4.14674i | −1.13171 | + | 0.303240i | ||||
\(188\) | 2.60552 | − | 9.72395i | 0.190027 | − | 0.709192i | ||||
\(189\) | 2.06120 | + | 1.65876i | 0.149930 | + | 0.120657i | ||||
\(190\) | 9.34833 | + | 9.34833i | 0.678199 | + | 0.678199i | ||||
\(191\) | 2.44502 | 0.176916 | 0.0884578 | − | 0.996080i | \(-0.471806\pi\) | ||||
0.0884578 | + | 0.996080i | \(0.471806\pi\) | |||||||
\(192\) | 3.25466 | 0.234885 | ||||||||
\(193\) | 12.1698 | + | 12.1698i | 0.875999 | + | 0.875999i | 0.993118 | − | 0.117119i | \(-0.0373660\pi\) |
−0.117119 | + | 0.993118i | \(0.537366\pi\) | |||||||
\(194\) | 6.34970 | − | 10.9980i | 0.455882 | − | 0.789610i | ||||
\(195\) | 7.19007 | + | 2.34956i | 0.514891 | + | 0.168256i | ||||
\(196\) | −2.93236 | + | 9.21550i | −0.209454 | + | 0.658250i | ||||
\(197\) | 6.05858 | + | 22.6109i | 0.431656 | + | 1.61096i | 0.748944 | + | 0.662634i | \(0.230561\pi\) |
−0.317287 | + | 0.948329i | \(0.602772\pi\) | |||||||
\(198\) | −0.961326 | − | 1.66506i | −0.0683184 | − | 0.118331i | ||||
\(199\) | −9.32077 | + | 16.1440i | −0.660732 | + | 1.14442i | 0.319692 | + | 0.947521i | \(0.396421\pi\) |
−0.980424 | + | 0.196899i | \(0.936913\pi\) | |||||||
\(200\) | −1.53776 | − | 0.412042i | −0.108736 | − | 0.0291357i | ||||
\(201\) | −8.15467 | − | 8.15467i | −0.575186 | − | 0.575186i | ||||
\(202\) | 2.68894 | + | 0.720500i | 0.189193 | + | 0.0506942i | ||||
\(203\) | 2.39729 | + | 6.18877i | 0.168257 | + | 0.434366i | ||||
\(204\) | 4.52689 | + | 7.84080i | 0.316946 | + | 0.548966i | ||||
\(205\) | 20.6969 | − | 11.9494i | 1.44553 | − | 0.834580i | ||||
\(206\) | −5.09633 | + | 5.09633i | −0.355078 | + | 0.355078i | ||||
\(207\) | −3.33089 | + | 1.92309i | −0.231513 | + | 0.133664i | ||||
\(208\) | −2.41845 | − | 0.130822i | −0.167689 | − | 0.00907085i | ||||
\(209\) | 19.5905i | 1.35510i | ||||||||
\(210\) | 3.40069 | + | 2.73672i | 0.234670 | + | 0.188852i | ||||
\(211\) | −5.61294 | + | 9.72190i | −0.386411 | + | 0.669283i | −0.991964 | − | 0.126522i | \(-0.959619\pi\) |
0.605553 | + | 0.795805i | \(0.292952\pi\) | |||||||
\(212\) | 2.99355i | 0.205598i | ||||||||
\(213\) | 2.52970 | − | 9.44098i | 0.173332 | − | 0.646885i | ||||
\(214\) | −0.410663 | − | 1.53261i | −0.0280723 | − | 0.104767i | ||||
\(215\) | 1.38834 | − | 1.38834i | 0.0946840 | − | 0.0946840i | ||||
\(216\) | −1.88042 | + | 1.88042i | −0.127946 | + | 0.127946i | ||||
\(217\) | 0.738891 | + | 1.01051i | 0.0501592 | + | 0.0685979i | ||||
\(218\) | −3.83579 | − | 2.21459i | −0.259792 | − | 0.149991i | ||||
\(219\) | 2.62580 | − | 9.79963i | 0.177435 | − | 0.662197i | ||||
\(220\) | 3.54300 | + | 6.13666i | 0.238869 | + | 0.413734i | ||||
\(221\) | 10.6918 | + | 21.0712i | 0.719205 | + | 1.41740i | ||||
\(222\) | −4.81618 | − | 2.78062i | −0.323241 | − | 0.186623i | ||||
\(223\) | −9.81982 | + | 2.63121i | −0.657584 | + | 0.176199i | −0.572155 | − | 0.820145i | \(-0.693893\pi\) |
−0.0854284 | + | 0.996344i | \(0.527226\pi\) | |||||||
\(224\) | −14.1511 | − | 6.24893i | −0.945513 | − | 0.417524i | ||||
\(225\) | 0.518448 | − | 0.299326i | 0.0345632 | − | 0.0199551i | ||||
\(226\) | 2.52655 | + | 9.42920i | 0.168063 | + | 0.627221i | ||||
\(227\) | −6.35951 | + | 1.70402i | −0.422095 | + | 0.113100i | −0.463613 | − | 0.886038i | \(-0.653447\pi\) |
0.0415179 | + | 0.999138i | \(0.486781\pi\) | |||||||
\(228\) | 10.6932 | − | 2.86524i | 0.708175 | − | 0.189755i | ||||
\(229\) | 0.321690 | + | 1.20056i | 0.0212578 | + | 0.0793354i | 0.975740 | − | 0.218933i | \(-0.0702576\pi\) |
−0.954482 | + | 0.298268i | \(0.903591\pi\) | |||||||
\(230\) | −5.49552 | + | 3.17284i | −0.362364 | + | 0.209211i | ||||
\(231\) | 0.695715 | + | 6.43083i | 0.0457747 | + | 0.423118i | ||||
\(232\) | −6.44358 | + | 1.72655i | −0.423042 | + | 0.113354i | ||||
\(233\) | −12.6928 | − | 7.32822i | −0.831536 | − | 0.480088i | 0.0228423 | − | 0.999739i | \(-0.492728\pi\) |
−0.854378 | + | 0.519652i | \(0.826062\pi\) | |||||||
\(234\) | −2.11036 | + | 1.89376i | −0.137959 | + | 0.123799i | ||||
\(235\) | 7.64360 | + | 13.2391i | 0.498614 | + | 0.863624i | ||||
\(236\) | 1.98641 | − | 7.41337i | 0.129304 | − | 0.482569i | ||||
\(237\) | −1.86264 | − | 1.07540i | −0.120992 | − | 0.0698545i | ||||
\(238\) | 1.46659 | + | 13.5564i | 0.0950647 | + | 0.878730i | ||||
\(239\) | −4.85743 | + | 4.85743i | −0.314201 | + | 0.314201i | −0.846535 | − | 0.532334i | \(-0.821315\pi\) |
0.532334 | + | 0.846535i | \(0.321315\pi\) | |||||||
\(240\) | 0.996500 | − | 0.996500i | 0.0643238 | − | 0.0643238i | ||||
\(241\) | 4.94711 | + | 18.4629i | 0.318671 | + | 1.18930i | 0.920522 | + | 0.390690i | \(0.127763\pi\) |
−0.601851 | + | 0.798608i | \(0.705570\pi\) | |||||||
\(242\) | −1.02237 | + | 3.81553i | −0.0657202 | + | 0.245271i | ||||
\(243\) | − | 1.00000i | − | 0.0641500i | ||||||
\(244\) | 6.48800 | − | 11.2375i | 0.415352 | − | 0.719410i | ||||
\(245\) | −6.74668 | − | 13.0441i | −0.431030 | − | 0.833356i | ||||
\(246\) | 8.95855i | 0.571176i | ||||||||
\(247\) | 28.2704 | − | 5.95941i | 1.79880 | − | 0.379188i | ||||
\(248\) | −1.08968 | + | 0.629127i | −0.0691947 | + | 0.0399496i | ||||
\(249\) | −1.52436 | + | 1.52436i | −0.0966025 | + | 0.0966025i | ||||
\(250\) | 7.99949 | − | 4.61851i | 0.505932 | − | 0.292100i | ||||
\(251\) | 1.37023 | + | 2.37330i | 0.0864880 | + | 0.149802i | 0.906024 | − | 0.423226i | \(-0.139102\pi\) |
−0.819536 | + | 0.573027i | \(0.805769\pi\) | |||||||
\(252\) | 3.40843 | − | 1.32030i | 0.214711 | − | 0.0831709i | ||||
\(253\) | −9.08277 | − | 2.43372i | −0.571029 | − | 0.153007i | ||||
\(254\) | 5.81406 | + | 5.81406i | 0.364807 | + | 0.364807i | ||||
\(255\) | −13.2801 | − | 3.55840i | −0.831634 | − | 0.222836i | ||||
\(256\) | 6.84635 | − | 11.8582i | 0.427897 | − | 0.741139i | ||||
\(257\) | −5.48074 | − | 9.49291i | −0.341879 | − | 0.592152i | 0.642903 | − | 0.765948i | \(-0.277730\pi\) |
−0.984782 | + | 0.173796i | \(0.944397\pi\) | |||||||
\(258\) | 0.190489 | + | 0.710914i | 0.0118593 | + | 0.0442596i | ||||
\(259\) | 11.0433 | + | 15.1029i | 0.686198 | + | 0.938447i | ||||
\(260\) | 7.77782 | − | 6.97955i | 0.482360 | − | 0.432853i | ||||
\(261\) | 1.25425 | − | 2.17242i | 0.0776360 | − | 0.134469i | ||||
\(262\) | −11.6016 | − | 11.6016i | −0.716751 | − | 0.716751i | ||||
\(263\) | −22.1190 | −1.36392 | −0.681958 | − | 0.731391i | \(-0.738871\pi\) | ||||
−0.681958 | + | 0.731391i | \(0.738871\pi\) | |||||||
\(264\) | −6.50152 | −0.400141 | ||||||||
\(265\) | −3.21440 | − | 3.21440i | −0.197459 | − | 0.197459i | ||||
\(266\) | 16.4753 | + | 2.55802i | 1.01016 | + | 0.156842i | ||||
\(267\) | 1.62993 | − | 6.08297i | 0.0997498 | − | 0.372271i | ||||
\(268\) | −15.3897 | + | 4.12365i | −0.940073 | + | 0.251892i | ||||
\(269\) | 7.90566 | + | 4.56433i | 0.482017 | + | 0.278292i | 0.721256 | − | 0.692668i | \(-0.243565\pi\) |
−0.239240 | + | 0.970960i | \(0.576898\pi\) | |||||||
\(270\) | − | 1.64986i | − | 0.100408i | ||||||
\(271\) | 18.7534 | + | 5.02495i | 1.13919 | + | 0.305244i | 0.778624 | − | 0.627491i | \(-0.215918\pi\) |
0.360562 | + | 0.932735i | \(0.382585\pi\) | |||||||
\(272\) | 4.40216 | 0.266920 | ||||||||
\(273\) | 9.06847 | − | 2.96021i | 0.548849 | − | 0.179160i | ||||
\(274\) | 8.86600 | 0.535614 | ||||||||
\(275\) | 1.41372 | + | 0.378805i | 0.0852505 | + | 0.0228428i | ||||
\(276\) | 5.31366i | 0.319845i | ||||||||
\(277\) | −24.3199 | − | 14.0411i | −1.46124 | − | 0.843649i | −0.462173 | − | 0.886790i | \(-0.652930\pi\) |
−0.999069 | + | 0.0431410i | \(0.986264\pi\) | |||||||
\(278\) | −7.74789 | + | 2.07604i | −0.464688 | + | 0.124513i | ||||
\(279\) | 0.122460 | − | 0.457027i | 0.00733149 | − | 0.0273615i | ||||
\(280\) | 13.7643 | − | 5.33177i | 0.822573 | − | 0.318634i | ||||
\(281\) | 3.79779 | + | 3.79779i | 0.226557 | + | 0.226557i | 0.811253 | − | 0.584695i | \(-0.198786\pi\) |
−0.584695 | + | 0.811253i | \(0.698786\pi\) | |||||||
\(282\) | −5.73048 | −0.341245 | ||||||||
\(283\) | 1.38508 | 0.0823344 | 0.0411672 | − | 0.999152i | \(-0.486892\pi\) | ||||
0.0411672 | + | 0.999152i | \(0.486892\pi\) | |||||||
\(284\) | −9.54821 | − | 9.54821i | −0.566582 | − | 0.566582i | ||||
\(285\) | −8.40550 | + | 14.5588i | −0.497899 | + | 0.862386i | ||||
\(286\) | −6.92210 | − | 0.374439i | −0.409312 | − | 0.0221410i | ||||
\(287\) | 12.1748 | − | 27.5707i | 0.718655 | − | 1.62745i | ||||
\(288\) | 1.51329 | + | 5.64767i | 0.0891715 | + | 0.332792i | ||||
\(289\) | −12.9735 | − | 22.4707i | −0.763144 | − | 1.32180i | ||||
\(290\) | 2.06934 | − | 3.58420i | 0.121516 | − | 0.210471i | ||||
\(291\) | 15.5981 | + | 4.17950i | 0.914376 | + | 0.245006i | ||||
\(292\) | −9.91093 | − | 9.91093i | −0.579993 | − | 0.579993i | ||||
\(293\) | 17.3288 | + | 4.64324i | 1.01236 | + | 0.271261i | 0.726615 | − | 0.687045i | \(-0.241092\pi\) |
0.285745 | + | 0.958306i | \(0.407759\pi\) | |||||||
\(294\) | 5.49906 | + | 0.254618i | 0.320712 | + | 0.0148497i | ||||
\(295\) | 5.82735 | + | 10.0933i | 0.339281 | + | 0.587653i | ||||
\(296\) | −16.2861 | + | 9.40280i | −0.946612 | + | 0.546526i | ||||
\(297\) | 1.72874 | − | 1.72874i | 0.100312 | − | 0.100312i | ||||
\(298\) | 3.20478 | − | 1.85028i | 0.185648 | − | 0.107184i | ||||
\(299\) | −0.749048 | + | 13.8474i | −0.0433186 | + | 0.800813i | ||||
\(300\) | − | 0.827063i | − | 0.0477505i | ||||||
\(301\) | 0.379897 | − | 2.44678i | 0.0218969 | − | 0.141030i | ||||
\(302\) | 0.229578 | − | 0.397641i | 0.0132107 | − | 0.0228817i | ||||
\(303\) | 3.53983i | 0.203358i | ||||||||
\(304\) | 1.39315 | − | 5.19929i | 0.0799024 | − | 0.298200i | ||||
\(305\) | 5.09995 | + | 19.0333i | 0.292023 | + | 1.08984i | ||||
\(306\) | 3.64424 | − | 3.64424i | 0.208327 | − | 0.208327i | ||||
\(307\) | 5.47242 | − | 5.47242i | 0.312327 | − | 0.312327i | −0.533483 | − | 0.845811i | \(-0.679117\pi\) |
0.845811 | + | 0.533483i | \(0.179117\pi\) | |||||||
\(308\) | 8.17475 | + | 3.60984i | 0.465799 | + | 0.205690i | ||||
\(309\) | −7.93684 | − | 4.58234i | −0.451511 | − | 0.260680i | ||||
\(310\) | 0.202042 | − | 0.754032i | 0.0114752 | − | 0.0428262i | ||||
\(311\) | −3.27357 | − | 5.66998i | −0.185627 | − | 0.321515i | 0.758161 | − | 0.652068i | \(-0.226098\pi\) |
−0.943788 | + | 0.330553i | \(0.892765\pi\) | |||||||
\(312\) | 1.97776 | + | 9.38211i | 0.111968 | + | 0.531158i | ||||
\(313\) | −14.8538 | − | 8.57583i | −0.839585 | − | 0.484735i | 0.0175379 | − | 0.999846i | \(-0.494417\pi\) |
−0.857123 | + | 0.515111i | \(0.827751\pi\) | |||||||
\(314\) | 8.43277 | − | 2.25955i | 0.475889 | − | 0.127514i | ||||
\(315\) | −2.24219 | + | 5.07760i | −0.126333 | + | 0.286090i | ||||
\(316\) | −2.57332 | + | 1.48570i | −0.144760 | + | 0.0835774i | ||||
\(317\) | 4.15537 | + | 15.5081i | 0.233389 | + | 0.871019i | 0.978869 | + | 0.204491i | \(0.0655538\pi\) |
−0.745480 | + | 0.666528i | \(0.767780\pi\) | |||||||
\(318\) | 1.64597 | − | 0.441036i | 0.0923014 | − | 0.0247321i | ||||
\(319\) | 5.92382 | − | 1.58728i | 0.331670 | − | 0.0888708i | ||||
\(320\) | 1.76723 | + | 6.59541i | 0.0987914 | + | 0.368695i | ||||
\(321\) | 1.74729 | − | 1.00880i | 0.0975240 | − | 0.0563055i | ||||
\(322\) | −3.23270 | + | 7.32067i | −0.180151 | + | 0.407965i | ||||
\(323\) | −50.7236 | + | 13.5914i | −2.82234 | + | 0.756243i | ||||
\(324\) | −1.19645 | − | 0.690770i | −0.0664694 | − | 0.0383761i | ||||
\(325\) | 0.116588 | − | 2.15532i | 0.00646715 | − | 0.119556i | ||||
\(326\) | 6.47904 | + | 11.2220i | 0.358841 | + | 0.621530i | ||||
\(327\) | 1.45769 | − | 5.44016i | 0.0806103 | − | 0.300842i | ||||
\(328\) | 26.2351 | + | 15.1468i | 1.44859 | + | 0.836345i | ||||
\(329\) | 17.6360 | + | 7.78780i | 0.972306 | + | 0.429355i | ||||
\(330\) | 2.85219 | − | 2.85219i | 0.157008 | − | 0.157008i | ||||
\(331\) | −4.03496 | + | 4.03496i | −0.221781 | + | 0.221781i | −0.809248 | − | 0.587467i | \(-0.800125\pi\) |
0.587467 | + | 0.809248i | \(0.300125\pi\) | |||||||
\(332\) | 0.770838 | + | 2.87681i | 0.0423052 | + | 0.157885i | ||||
\(333\) | 1.83026 | − | 6.83063i | 0.100298 | − | 0.374316i | ||||
\(334\) | 0.00744470i | 0.000407356i | ||||||||
\(335\) | 12.0972 | − | 20.9529i | 0.660940 | − | 1.14478i | ||||
\(336\) | 0.272676 | − | 1.75621i | 0.0148757 | − | 0.0958090i | ||||
\(337\) | − | 6.54996i | − | 0.356799i | −0.983958 | − | 0.178399i | \(-0.942908\pi\) | ||
0.983958 | − | 0.178399i | \(-0.0570919\pi\) | |||||||
\(338\) | 1.56535 | + | 10.1029i | 0.0851441 | + | 0.549527i | ||||
\(339\) | −10.7499 | + | 6.20648i | −0.583857 | + | 0.337090i | ||||
\(340\) | −13.4310 | + | 13.4310i | −0.728397 | + | 0.728397i | ||||
\(341\) | 1.00178 | − | 0.578379i | 0.0542496 | − | 0.0313210i | ||||
\(342\) | −3.15084 | − | 5.45741i | −0.170378 | − | 0.295103i | ||||
\(343\) | −16.5778 | − | 8.25691i | −0.895117 | − | 0.445831i | ||||
\(344\) | 2.40399 | + | 0.644146i | 0.129614 | + | 0.0347300i | ||||
\(345\) | −5.70568 | − | 5.70568i | −0.307184 | − | 0.307184i | ||||
\(346\) | −15.9226 | − | 4.26645i | −0.856005 | − | 0.229366i | ||||
\(347\) | 11.4025 | − | 19.7498i | 0.612120 | − | 1.06022i | −0.378763 | − | 0.925494i | \(-0.623650\pi\) |
0.990883 | − | 0.134729i | \(-0.0430163\pi\) | |||||||
\(348\) | −1.73279 | − | 3.00129i | −0.0928875 | − | 0.160886i | ||||
\(349\) | 0.529316 | + | 1.97543i | 0.0283336 | + | 0.105743i | 0.978645 | − | 0.205560i | \(-0.0659015\pi\) |
−0.950311 | + | 0.311302i | \(0.899235\pi\) | |||||||
\(350\) | 0.503164 | − | 1.13945i | 0.0268953 | − | 0.0609062i | ||||
\(351\) | −3.02057 | − | 1.96880i | −0.161226 | − | 0.105087i | ||||
\(352\) | −7.14728 | + | 12.3795i | −0.380951 | + | 0.659827i | ||||
\(353\) | −18.2898 | − | 18.2898i | −0.973469 | − | 0.973469i | 0.0261885 | − | 0.999657i | \(-0.491663\pi\) |
−0.999657 | + | 0.0261885i | \(0.991663\pi\) | |||||||
\(354\) | −4.36881 | −0.232200 | ||||||||
\(355\) | 20.5053 | 1.08831 | ||||||||
\(356\) | −6.15206 | − | 6.15206i | −0.326058 | − | 0.326058i | ||||
\(357\) | −16.1680 | + | 6.26288i | −0.855702 | + | 0.331467i | ||||
\(358\) | −1.96396 | + | 7.32960i | −0.103798 | + | 0.387381i | ||||
\(359\) | 14.5374 | − | 3.89528i | 0.767255 | − | 0.205585i | 0.146096 | − | 0.989270i | \(-0.453329\pi\) |
0.621158 | + | 0.783685i | \(0.286662\pi\) | |||||||
\(360\) | −4.83163 | − | 2.78954i | −0.254649 | − | 0.147022i | ||||
\(361\) | 45.2098i | 2.37946i | ||||||||
\(362\) | 0.955352 | + | 0.255986i | 0.0502122 | + | 0.0134543i | ||||
\(363\) | −5.02291 | −0.263634 | ||||||||
\(364\) | 2.72249 | − | 12.8948i | 0.142697 | − | 0.675871i | ||||
\(365\) | 21.2843 | 1.11407 | ||||||||
\(366\) | −7.13471 | − | 1.91174i | −0.372937 | − | 0.0999283i | ||||
\(367\) | − | 15.2972i | − | 0.798506i | −0.916841 | − | 0.399253i | \(-0.869270\pi\) | ||
0.916841 | − | 0.399253i | \(-0.130730\pi\) | |||||||
\(368\) | 2.23748 | + | 1.29181i | 0.116637 | + | 0.0673403i | ||||
\(369\) | −11.0034 | + | 2.94834i | −0.572813 | + | 0.153485i | ||||
\(370\) | 3.01968 | − | 11.2696i | 0.156986 | − | 0.585879i | ||||
\(371\) | −5.66499 | − | 0.879569i | −0.294111 | − | 0.0456650i | ||||
\(372\) | −0.462218 | − | 0.462218i | −0.0239649 | − | 0.0239649i | ||||
\(373\) | −20.4419 | −1.05844 | −0.529221 | − | 0.848484i | \(-0.677516\pi\) | ||||
−0.529221 | + | 0.848484i | \(0.677516\pi\) | |||||||
\(374\) | 12.5999 | 0.651524 | ||||||||
\(375\) | 8.30541 | + | 8.30541i | 0.428890 | + | 0.428890i | ||||
\(376\) | −9.68892 | + | 16.7817i | −0.499668 | + | 0.865450i | ||||
\(377\) | −4.09257 | − | 8.06561i | −0.210778 | − | 0.415400i | ||||
\(378\) | −1.22811 | − | 1.67957i | −0.0631672 | − | 0.0863878i | ||||
\(379\) | −1.64237 | − | 6.12940i | −0.0843628 | − | 0.314846i | 0.910830 | − | 0.412782i | \(-0.135443\pi\) |
−0.995193 | + | 0.0979355i | \(0.968776\pi\) | |||||||
\(380\) | 11.6125 | + | 20.1135i | 0.595711 | + | 1.03180i | ||||
\(381\) | −5.22768 | + | 9.05461i | −0.267822 | + | 0.463882i | ||||
\(382\) | −1.85730 | − | 0.497662i | −0.0950277 | − | 0.0254626i | ||||
\(383\) | −4.42655 | − | 4.42655i | −0.226186 | − | 0.226186i | 0.584911 | − | 0.811097i | \(-0.301129\pi\) |
−0.811097 | + | 0.584911i | \(0.801129\pi\) | |||||||
\(384\) | 8.82303 | + | 2.36412i | 0.450248 | + | 0.120644i | ||||
\(385\) | −12.6540 | + | 4.90169i | −0.644909 | + | 0.249813i | ||||
\(386\) | −6.76741 | − | 11.7215i | −0.344452 | − | 0.596609i | ||||
\(387\) | −0.810492 | + | 0.467938i | −0.0411996 | + | 0.0237866i | ||||
\(388\) | 15.7753 | − | 15.7753i | 0.800867 | − | 0.800867i | ||||
\(389\) | −4.72095 | + | 2.72564i | −0.239362 | + | 0.138196i | −0.614883 | − | 0.788618i | \(-0.710797\pi\) |
0.375522 | + | 0.926814i | \(0.377464\pi\) | |||||||
\(390\) | −4.98352 | − | 3.24826i | −0.252351 | − | 0.164482i | ||||
\(391\) | − | 25.2055i | − | 1.27470i | ||||||
\(392\) | 10.0433 | − | 15.6735i | 0.507263 | − | 0.791631i | ||||
\(393\) | 10.4315 | − | 18.0680i | 0.526201 | − | 0.911408i | ||||
\(394\) | − | 18.4090i | − | 0.927433i | ||||||
\(395\) | 1.16785 | − | 4.35848i | 0.0587610 | − | 0.219299i | ||||
\(396\) | −0.874188 | − | 3.26252i | −0.0439296 | − | 0.163948i | ||||
\(397\) | −6.77902 | + | 6.77902i | −0.340229 | + | 0.340229i | −0.856453 | − | 0.516224i | \(-0.827337\pi\) |
0.516224 | + | 0.856453i | \(0.327337\pi\) | |||||||
\(398\) | 10.3663 | − | 10.3663i | 0.519614 | − | 0.519614i | ||||
\(399\) | 2.28027 | + | 21.0777i | 0.114156 | + | 1.05520i | ||||
\(400\) | −0.348261 | − | 0.201069i | −0.0174130 | − | 0.0100534i | ||||
\(401\) | 9.70794 | − | 36.2305i | 0.484791 | − | 1.80927i | −0.0962083 | − | 0.995361i | \(-0.530671\pi\) |
0.580999 | − | 0.813904i | \(-0.302662\pi\) | |||||||
\(402\) | 4.53468 | + | 7.85430i | 0.226169 | + | 0.391737i | ||||
\(403\) | −1.13938 | − | 1.26969i | −0.0567565 | − | 0.0632480i | ||||
\(404\) | 4.23523 | + | 2.44521i | 0.210710 | + | 0.121654i | ||||
\(405\) | 2.02645 | − | 0.542987i | 0.100695 | − | 0.0269812i | ||||
\(406\) | −0.561378 | − | 5.18909i | −0.0278607 | − | 0.257530i | ||||
\(407\) | 14.9724 | − | 8.64434i | 0.742156 | − | 0.428484i | ||||
\(408\) | −4.51058 | − | 16.8337i | −0.223307 | − | 0.833393i | ||||
\(409\) | −29.6891 | + | 7.95517i | −1.46803 | + | 0.393358i | −0.902256 | − | 0.431202i | \(-0.858090\pi\) |
−0.565775 | + | 0.824559i | \(0.691423\pi\) | |||||||
\(410\) | −18.1541 | + | 4.86437i | −0.896566 | + | 0.240234i | ||||
\(411\) | 2.91789 | + | 10.8897i | 0.143929 | + | 0.537149i | ||||
\(412\) | −10.9651 | + | 6.33069i | −0.540210 | + | 0.311891i | ||||
\(413\) | 13.4454 | + | 5.93728i | 0.661605 | + | 0.292155i | ||||
\(414\) | 2.92166 | − | 0.782855i | 0.143592 | − | 0.0384752i | ||||
\(415\) | −3.91676 | − | 2.26134i | −0.192266 | − | 0.111005i | ||||
\(416\) | 20.0385 | + | 6.54817i | 0.982470 | + | 0.321050i | ||||
\(417\) | −5.09981 | − | 8.83314i | −0.249739 | − | 0.432561i | ||||
\(418\) | 3.98747 | − | 14.8814i | 0.195034 | − | 0.727875i | ||||
\(419\) | −20.2493 | − | 11.6909i | −0.989241 | − | 0.571138i | −0.0841936 | − | 0.996449i | \(-0.526831\pi\) |
−0.905047 | + | 0.425311i | \(0.860165\pi\) | |||||||
\(420\) | 4.52625 | + | 6.19012i | 0.220859 | + | 0.302047i | ||||
\(421\) | 14.1492 | − | 14.1492i | 0.689589 | − | 0.689589i | −0.272552 | − | 0.962141i | \(-0.587868\pi\) |
0.962141 | + | 0.272552i | \(0.0878676\pi\) | |||||||
\(422\) | 6.24254 | − | 6.24254i | 0.303882 | − | 0.303882i | ||||
\(423\) | −1.88596 | − | 7.03848i | −0.0916983 | − | 0.342223i | ||||
\(424\) | 1.49138 | − | 5.56591i | 0.0724279 | − | 0.270305i | ||||
\(425\) | 3.92320i | 0.190303i | ||||||||
\(426\) | −3.84325 | + | 6.65671i | −0.186206 | + | 0.322518i | ||||
\(427\) | 19.3596 | + | 15.5797i | 0.936877 | + | 0.753956i | ||||
\(428\) | − | 2.78739i | − | 0.134733i | ||||||
\(429\) | −1.81822 | − | 8.62533i | −0.0877847 | − | 0.416435i | ||||
\(430\) | −1.33720 | + | 0.772034i | −0.0644856 | + | 0.0372308i | ||||
\(431\) | 9.32545 | − | 9.32545i | 0.449191 | − | 0.449191i | −0.445894 | − | 0.895086i | \(-0.647114\pi\) |
0.895086 | + | 0.445894i | \(0.147114\pi\) | |||||||
\(432\) | −0.581741 | + | 0.335869i | −0.0279891 | + | 0.0161595i | ||||
\(433\) | 5.53868 | + | 9.59327i | 0.266172 | + | 0.461023i | 0.967870 | − | 0.251451i | \(-0.0809078\pi\) |
−0.701698 | + | 0.712474i | \(0.747574\pi\) | |||||||
\(434\) | −0.355600 | − | 0.918003i | −0.0170693 | − | 0.0440656i | ||||
\(435\) | 5.08335 | + | 1.36208i | 0.243728 | + | 0.0653067i | ||||
\(436\) | −5.50195 | − | 5.50195i | −0.263496 | − | 0.263496i | ||||
\(437\) | −29.7697 | − | 7.97676i | −1.42408 | − | 0.381580i | ||||
\(438\) | −3.98925 | + | 6.90958i | −0.190614 | + | 0.330153i | ||||
\(439\) | 6.61652 | + | 11.4601i | 0.315789 | + | 0.546963i | 0.979605 | − | 0.200933i | \(-0.0643974\pi\) |
−0.663816 | + | 0.747896i | \(0.731064\pi\) | |||||||
\(440\) | −3.53024 | − | 13.1750i | −0.168298 | − | 0.628095i | ||||
\(441\) | 1.49706 | + | 6.83804i | 0.0712885 | + | 0.325621i | ||||
\(442\) | −3.83287 | − | 18.1824i | −0.182311 | − | 0.864850i | ||||
\(443\) | 2.45582 | − | 4.25360i | 0.116679 | − | 0.202095i | −0.801770 | − | 0.597632i | \(-0.796108\pi\) |
0.918450 | + | 0.395537i | \(0.129442\pi\) | |||||||
\(444\) | −6.90821 | − | 6.90821i | −0.327849 | − | 0.327849i | ||||
\(445\) | 13.2119 | 0.626303 | ||||||||
\(446\) | 7.99494 | 0.378571 | ||||||||
\(447\) | 3.32734 | + | 3.32734i | 0.157378 | + | 0.157378i | ||||
\(448\) | 6.70849 | + | 5.39868i | 0.316946 | + | 0.255064i | ||||
\(449\) | 0.246197 | − | 0.918821i | 0.0116188 | − | 0.0433618i | −0.959873 | − | 0.280435i | \(-0.909521\pi\) |
0.971492 | + | 0.237073i | \(0.0761880\pi\) | |||||||
\(450\) | −0.454751 | + | 0.121850i | −0.0214372 | + | 0.00574407i | ||||
\(451\) | −24.1189 | − | 13.9251i | −1.13572 | − | 0.655705i | ||||
\(452\) | 17.1490i | 0.806622i | ||||||||
\(453\) | 0.563961 | + | 0.151113i | 0.0264972 | + | 0.00709990i | ||||
\(454\) | 5.17768 | 0.243001 | ||||||||
\(455\) | 10.9228 | + | 16.7695i | 0.512068 | + | 0.786165i | ||||
\(456\) | −21.3094 | −0.997903 | ||||||||
\(457\) | 18.5842 | + | 4.97961i | 0.869331 | + | 0.232937i | 0.665798 | − | 0.746132i | \(-0.268091\pi\) |
0.203533 | + | 0.979068i | \(0.434758\pi\) | |||||||
\(458\) | − | 0.977454i | − | 0.0456734i | ||||||
\(459\) | 5.67540 | + | 3.27669i | 0.264905 | + | 0.152943i | ||||
\(460\) | −10.7679 | + | 2.88524i | −0.502055 | + | 0.134525i | ||||
\(461\) | −1.66867 | + | 6.22758i | −0.0777179 | + | 0.290047i | −0.993836 | − | 0.110862i | \(-0.964639\pi\) |
0.916118 | + | 0.400909i | \(0.131306\pi\) | |||||||
\(462\) | 0.780455 | − | 5.02663i | 0.0363101 | − | 0.233860i | ||||
\(463\) | 7.67988 | + | 7.67988i | 0.356914 | + | 0.356914i | 0.862674 | − | 0.505760i | \(-0.168788\pi\) |
−0.505760 | + | 0.862674i | \(0.668788\pi\) | |||||||
\(464\) | −1.68505 | −0.0782265 | ||||||||
\(465\) | 0.992638 | 0.0460325 | ||||||||
\(466\) | 8.15021 | + | 8.15021i | 0.377551 | + | 0.377551i | ||||
\(467\) | 10.7238 | − | 18.5741i | 0.496236 | − | 0.859507i | −0.503754 | − | 0.863847i | \(-0.668048\pi\) |
0.999991 | + | 0.00434034i | \(0.00138158\pi\) | |||||||
\(468\) | −4.44209 | + | 2.25396i | −0.205336 | + | 0.104189i | ||||
\(469\) | −3.28177 | − | 30.3350i | −0.151538 | − | 1.40074i | ||||
\(470\) | −3.11157 | − | 11.6125i | −0.143526 | − | 0.535647i | ||||
\(471\) | 5.55061 | + | 9.61395i | 0.255759 | + | 0.442987i | ||||
\(472\) | −7.38666 | + | 12.7941i | −0.339999 | + | 0.588895i | ||||
\(473\) | −2.21007 | − | 0.592187i | −0.101619 | − | 0.0272288i | ||||
\(474\) | 1.19602 | + | 1.19602i | 0.0549351 | + | 0.0549351i | ||||
\(475\) | 4.63361 | + | 1.24157i | 0.212604 | + | 0.0569672i | ||||
\(476\) | −3.67517 | + | 23.6704i | −0.168451 | + | 1.08493i | ||||
\(477\) | 1.08341 | + | 1.87652i | 0.0496059 | + | 0.0859199i | ||||
\(478\) | 4.67851 | − | 2.70114i | 0.213990 | − | 0.123547i | ||||
\(479\) | −12.8006 | + | 12.8006i | −0.584876 | + | 0.584876i | −0.936239 | − | 0.351363i | \(-0.885718\pi\) |
0.351363 | + | 0.936239i | \(0.385718\pi\) | |||||||
\(480\) | −10.6231 | + | 6.13322i | −0.484874 | + | 0.279942i | ||||
\(481\) | −17.0289 | − | 18.9766i | −0.776453 | − | 0.865258i | ||||
\(482\) | − | 15.0318i | − | 0.684680i | ||||||
\(483\) | −10.0556 | − | 1.56127i | −0.457544 | − | 0.0710401i | ||||
\(484\) | −3.46968 | + | 6.00966i | −0.157713 | + | 0.273166i | ||||
\(485\) | 33.8782i | 1.53833i | ||||||||
\(486\) | −0.203541 | + | 0.759625i | −0.00923280 | + | 0.0344573i | ||||
\(487\) | 1.86380 | + | 6.95580i | 0.0844569 | + | 0.315197i | 0.995211 | − | 0.0977522i | \(-0.0311653\pi\) |
−0.910754 | + | 0.412949i | \(0.864499\pi\) | |||||||
\(488\) | −17.6617 | + | 17.6617i | −0.799507 | + | 0.799507i | ||||
\(489\) | −11.6512 | + | 11.6512i | −0.526885 | + | 0.526885i | ||||
\(490\) | 2.46994 | + | 11.2818i | 0.111581 | + | 0.509662i | ||||
\(491\) | −24.3966 | − | 14.0854i | −1.10101 | − | 0.635666i | −0.164520 | − | 0.986374i | \(-0.552608\pi\) |
−0.936485 | + | 0.350708i | \(0.885941\pi\) | |||||||
\(492\) | −4.07326 | + | 15.2016i | −0.183637 | + | 0.685342i | ||||
\(493\) | 8.21957 | + | 14.2367i | 0.370191 | + | 0.641190i | ||||
\(494\) | −22.6879 | − | 1.22726i | −1.02077 | − | 0.0552170i | ||||
\(495\) | 4.44190 | + | 2.56453i | 0.199648 | + | 0.115267i | ||||
\(496\) | −0.307002 | + | 0.0822609i | −0.0137848 | + | 0.00369362i | ||||
\(497\) | 20.8745 | − | 15.2636i | 0.936349 | − | 0.684664i | ||||
\(498\) | 1.46821 | − | 0.847673i | 0.0657922 | − | 0.0379852i | ||||
\(499\) | 5.44491 | + | 20.3207i | 0.243748 | + | 0.909678i | 0.974009 | + | 0.226510i | \(0.0727317\pi\) |
−0.730261 | + | 0.683168i | \(0.760602\pi\) | |||||||
\(500\) | 15.6741 | − | 4.19987i | 0.700969 | − | 0.187824i | ||||
\(501\) | −0.00914399 | + | 0.00245012i | −0.000408523 | + | 0.000109463i | ||||
\(502\) | −0.557794 | − | 2.08172i | −0.0248956 | − | 0.0929116i | ||||
\(503\) | 18.9822 | − | 10.9594i | 0.846374 | − | 0.488655i | −0.0130514 | − | 0.999915i | \(-0.504155\pi\) |
0.859426 | + | 0.511260i | \(0.170821\pi\) | |||||||
\(504\) | −6.99508 | + | 0.756757i | −0.311585 | + | 0.0337086i | ||||
\(505\) | −7.17330 | + | 1.92208i | −0.319208 | + | 0.0855314i | ||||
\(506\) | 6.40414 | + | 3.69743i | 0.284699 | + | 0.164371i | ||||
\(507\) | −11.8938 | + | 5.24763i | −0.528222 | + | 0.233055i | ||||
\(508\) | 7.22226 | + | 12.5093i | 0.320436 | + | 0.555011i | ||||
\(509\) | 0.779515 | − | 2.90919i | 0.0345514 | − | 0.128948i | −0.946496 | − | 0.322716i | \(-0.895404\pi\) |
0.981047 | + | 0.193768i | \(0.0620709\pi\) | |||||||
\(510\) | 9.36364 | + | 5.40610i | 0.414629 | + | 0.239386i | ||||
\(511\) | 21.6675 | − | 15.8434i | 0.958513 | − | 0.700870i | ||||
\(512\) | 5.30352 | − | 5.30352i | 0.234385 | − | 0.234385i | ||||
\(513\) | 5.66612 | − | 5.66612i | 0.250165 | − | 0.250165i | ||||
\(514\) | 2.23111 | + | 8.32661i | 0.0984100 | + | 0.367271i | ||||
\(515\) | 4.97630 | − | 18.5718i | 0.219282 | − | 0.818371i | ||||
\(516\) | 1.29295i | 0.0569189i | ||||||||
\(517\) | 8.90738 | − | 15.4280i | 0.391746 | − | 0.678525i | ||||
\(518\) | −5.31472 | − | 13.7203i | −0.233515 | − | 0.602835i | ||||
\(519\) | − | 20.9611i | − | 0.920092i | ||||||
\(520\) | −17.9385 | + | 9.10219i | −0.786656 | + | 0.399157i | ||||
\(521\) | 20.7786 | − | 11.9965i | 0.910328 | − | 0.525578i | 0.0297912 | − | 0.999556i | \(-0.490516\pi\) |
0.880537 | + | 0.473978i | \(0.157182\pi\) | |||||||
\(522\) | −1.39493 | + | 1.39493i | −0.0610546 | + | 0.0610546i | ||||
\(523\) | 8.29910 | − | 4.79149i | 0.362894 | − | 0.209517i | −0.307455 | − | 0.951563i | \(-0.599477\pi\) |
0.670350 | + | 0.742045i | \(0.266144\pi\) | |||||||
\(524\) | −14.4116 | − | 24.9616i | −0.629573 | − | 1.09045i | ||||
\(525\) | 1.56513 | + | 0.243009i | 0.0683080 | + | 0.0106058i | ||||
\(526\) | 16.8021 | + | 4.50212i | 0.732608 | + | 0.196302i | ||||
\(527\) | 2.19255 | + | 2.19255i | 0.0955088 | + | 0.0955088i | ||||
\(528\) | −1.58631 | − | 0.425051i | −0.0690353 | − | 0.0184980i | ||||
\(529\) | −4.10344 | + | 7.10737i | −0.178411 | + | 0.309016i | ||||
\(530\) | 1.78748 | + | 3.09600i | 0.0776431 | + | 0.134482i | ||||
\(531\) | −1.43782 | − | 5.36602i | −0.0623961 | − | 0.232865i | ||||
\(532\) | 26.7935 | + | 11.8316i | 1.16165 | + | 0.512966i | ||||
\(533\) | −12.7578 | + | 39.0411i | −0.552602 | + | 1.69106i | ||||
\(534\) | −2.47626 | + | 4.28902i | −0.107158 | + | 0.185604i | ||||
\(535\) | 2.99303 | + | 2.99303i | 0.129400 | + | 0.129400i | ||||
\(536\) | 30.6684 | 1.32467 | ||||||||
\(537\) | −9.64897 | −0.416384 | ||||||||
\(538\) | −5.07631 | − | 5.07631i | −0.218855 | − | 0.218855i | ||||
\(539\) | −9.23318 | + | 14.4092i | −0.397701 | + | 0.620650i | ||||
\(540\) | 0.750158 | − | 2.79963i | 0.0322817 | − | 0.120477i | ||||
\(541\) | 20.9526 | − | 5.61424i | 0.900823 | − | 0.241375i | 0.221454 | − | 0.975171i | \(-0.428920\pi\) |
0.679370 | + | 0.733796i | \(0.262253\pi\) | |||||||
\(542\) | −13.2227 | − | 7.63415i | −0.567965 | − | 0.327915i | ||||
\(543\) | 1.25766i | 0.0539715i | ||||||||
\(544\) | −37.0114 | − | 9.91718i | −1.58685 | − | 0.425195i | ||||
\(545\) | 11.8157 | 0.506131 | ||||||||
\(546\) | −7.49116 | + | 0.402847i | −0.320592 | + | 0.0172403i | ||||
\(547\) | −24.6132 | −1.05238 | −0.526191 | − | 0.850366i | \(-0.676380\pi\) | ||||
−0.526191 | + | 0.850366i | \(0.676380\pi\) | |||||||
\(548\) | 15.0446 | + | 4.03118i | 0.642672 | + | 0.172203i | ||||
\(549\) | − | 9.39241i | − | 0.400858i | ||||||
\(550\) | −0.996795 | − | 0.575500i | −0.0425035 | − | 0.0245394i | ||||
\(551\) | 19.4159 | − | 5.20248i | 0.827146 | − | 0.221633i | ||||
\(552\) | 2.64726 | − | 9.87970i | 0.112675 | − | 0.420508i | ||||
\(553\) | −2.05545 | − | 5.30627i | −0.0874066 | − | 0.225646i | ||||
\(554\) | 15.6161 | + | 15.6161i | 0.663464 | + | 0.663464i | ||||
\(555\) | 14.8358 | 0.629743 | ||||||||
\(556\) | −14.0912 | −0.597600 | ||||||||
\(557\) | 0.362938 | + | 0.362938i | 0.0153782 | + | 0.0153782i | 0.714754 | − | 0.699376i | \(-0.246539\pi\) |
−0.699376 | + | 0.714754i | \(0.746539\pi\) | |||||||
\(558\) | −0.186047 | + | 0.322243i | −0.00787601 | + | 0.0136416i | ||||
\(559\) | −0.182263 | + | 3.36942i | −0.00770889 | + | 0.142511i | ||||
\(560\) | 3.70693 | − | 0.401032i | 0.156646 | − | 0.0169467i | ||||
\(561\) | 4.14674 | + | 15.4759i | 0.175076 | + | 0.653391i | ||||
\(562\) | −2.11189 | − | 3.65791i | −0.0890848 | − | 0.154299i | ||||
\(563\) | −21.6004 | + | 37.4130i | −0.910349 | + | 1.57677i | −0.0967769 | + | 0.995306i | \(0.530853\pi\) |
−0.813572 | + | 0.581464i | \(0.802480\pi\) | |||||||
\(564\) | −9.72395 | − | 2.60552i | −0.409452 | − | 0.109712i | ||||
\(565\) | −18.4142 | − | 18.4142i | −0.774692 | − | 0.774692i | ||||
\(566\) | −1.05214 | − | 0.281920i | −0.0442248 | − | 0.0118500i | ||||
\(567\) | 1.65876 | − | 2.06120i | 0.0696612 | − | 0.0865621i | ||||
\(568\) | 12.9961 | + | 22.5099i | 0.545305 | + | 0.944496i | ||||
\(569\) | 26.6085 | − | 15.3624i | 1.11549 | − | 0.644027i | 0.175242 | − | 0.984525i | \(-0.443929\pi\) |
0.940245 | + | 0.340499i | \(0.110596\pi\) | |||||||
\(570\) | 9.34833 | − | 9.34833i | 0.391558 | − | 0.391558i | ||||
\(571\) | −18.1885 | + | 10.5012i | −0.761167 | + | 0.439460i | −0.829715 | − | 0.558188i | \(-0.811497\pi\) |
0.0685475 | + | 0.997648i | \(0.478164\pi\) | |||||||
\(572\) | −11.5757 | − | 3.78271i | −0.484006 | − | 0.158163i | ||||
\(573\) | − | 2.44502i | − | 0.102142i | ||||||
\(574\) | −14.8600 | + | 18.4653i | −0.620246 | + | 0.770728i | ||||
\(575\) | −1.15126 | + | 1.99405i | −0.0480110 | + | 0.0831574i | ||||
\(576\) | − | 3.25466i | − | 0.135611i | ||||||
\(577\) | −2.29545 | + | 8.56673i | −0.0955608 | + | 0.356638i | −0.997104 | − | 0.0760516i | \(-0.975769\pi\) |
0.901543 | + | 0.432689i | \(0.142435\pi\) | |||||||
\(578\) | 5.28126 | + | 19.7099i | 0.219671 | + | 0.819825i | ||||
\(579\) | 12.1698 | − | 12.1698i | 0.505758 | − | 0.505758i | ||||
\(580\) | 5.14109 | − | 5.14109i | 0.213472 | − | 0.213472i | ||||
\(581\) | −5.67055 | + | 0.613465i | −0.235254 | + | 0.0254508i | ||||
\(582\) | −10.9980 | − | 6.34970i | −0.455882 | − | 0.263203i | ||||
\(583\) | −1.37108 | + | 5.11695i | −0.0567844 | + | 0.211922i | ||||
\(584\) | 13.4898 | + | 23.3650i | 0.558212 | + | 0.966852i | ||||
\(585\) | 2.34956 | − | 7.19007i | 0.0971424 | − | 0.297273i | ||||
\(586\) | −12.2183 | − | 7.05424i | −0.504734 | − | 0.291408i | ||||
\(587\) | −30.5954 | + | 8.19801i | −1.26281 | + | 0.338368i | −0.827271 | − | 0.561803i | \(-0.810108\pi\) |
−0.435536 | + | 0.900171i | \(0.643441\pi\) | |||||||
\(588\) | 9.21550 | + | 2.93236i | 0.380041 | + | 0.120929i | ||||
\(589\) | 3.28344 | − | 1.89570i | 0.135292 | − | 0.0781108i | ||||
\(590\) | −2.37221 | − | 8.85320i | −0.0976622 | − | 0.364480i | ||||
\(591\) | 22.6109 | − | 6.05858i | 0.930090 | − | 0.249217i | ||||
\(592\) | −4.58839 | + | 1.22945i | −0.188582 | + | 0.0505303i | ||||
\(593\) | −1.47098 | − | 5.48978i | −0.0604060 | − | 0.225438i | 0.929123 | − | 0.369770i | \(-0.120563\pi\) |
−0.989529 | + | 0.144332i | \(0.953897\pi\) | |||||||
\(594\) | −1.66506 | + | 0.961326i | −0.0683184 | + | 0.0394437i | ||||
\(595\) | −21.4704 | − | 29.3631i | −0.880202 | − | 1.20377i | ||||
\(596\) | 6.27941 | − | 1.68256i | 0.257215 | − | 0.0689205i | ||||
\(597\) | 16.1440 | + | 9.32077i | 0.660732 | + | 0.381474i | ||||
\(598\) | 3.38750 | − | 10.3663i | 0.138525 | − | 0.423911i | ||||
\(599\) | 5.44521 | + | 9.43138i | 0.222485 | + | 0.385356i | 0.955562 | − | 0.294790i | \(-0.0952498\pi\) |
−0.733077 | + | 0.680146i | \(0.761916\pi\) | |||||||
\(600\) | −0.412042 | + | 1.53776i | −0.0168215 | + | 0.0627788i | ||||
\(601\) | 1.42936 | + | 0.825243i | 0.0583049 | + | 0.0336624i | 0.528869 | − | 0.848703i | \(-0.322616\pi\) |
−0.470564 | + | 0.882366i | \(0.655950\pi\) | |||||||
\(602\) | −0.786598 | + | 1.78131i | −0.0320593 | + | 0.0726007i | ||||
\(603\) | −8.15467 | + | 8.15467i | −0.332084 | + | 0.332084i | ||||
\(604\) | 0.570367 | − | 0.570367i | 0.0232079 | − | 0.0232079i | ||||
\(605\) | −2.72737 | − | 10.1787i | −0.110883 | − | 0.413823i | ||||
\(606\) | 0.720500 | − | 2.68894i | 0.0292683 | − | 0.109231i | ||||
\(607\) | 26.1975i | 1.06332i | 0.846957 | + | 0.531662i | \(0.178432\pi\) | ||||
−0.846957 | + | 0.531662i | \(0.821568\pi\) | |||||||
\(608\) | −23.4259 | + | 40.5749i | −0.950046 | + | 1.64553i | ||||
\(609\) | 6.18877 | − | 2.39729i | 0.250781 | − | 0.0971433i | ||||
\(610\) | − | 15.4962i | − | 0.627423i | ||||||
\(611\) | −24.9733 | − | 8.16074i | −1.01031 | − | 0.330148i | ||||
\(612\) | 7.84080 | − | 4.52689i | 0.316946 | − | 0.182989i | ||||
\(613\) | −16.6089 | + | 16.6089i | −0.670827 | + | 0.670827i | −0.957907 | − | 0.287079i | \(-0.907316\pi\) |
0.287079 | + | 0.957907i | \(0.407316\pi\) | |||||||
\(614\) | −5.27084 | + | 3.04312i | −0.212714 | + | 0.122810i | ||||
\(615\) | −11.9494 | − | 20.6969i | −0.481845 | − | 0.834580i | ||||
\(616\) | −13.4009 | − | 10.7844i | −0.539938 | − | 0.434517i | ||||
\(617\) | −7.41451 | − | 1.98671i | −0.298497 | − | 0.0799820i | 0.106462 | − | 0.994317i | \(-0.466048\pi\) |
−0.404959 | + | 0.914335i | \(0.632714\pi\) | |||||||
\(618\) | 5.09633 | + | 5.09633i | 0.205005 | + | 0.205005i | ||||
\(619\) | −27.5031 | − | 7.36942i | −1.10544 | − | 0.296202i | −0.340463 | − | 0.940258i | \(-0.610584\pi\) |
−0.764978 | + | 0.644056i | \(0.777250\pi\) | |||||||
\(620\) | 0.685685 | − | 1.18764i | 0.0275378 | − | 0.0476968i | ||||
\(621\) | 1.92309 | + | 3.33089i | 0.0771710 | + | 0.133664i | ||||
\(622\) | 1.33261 | + | 4.97337i | 0.0534328 | + | 0.199414i | ||||
\(623\) | 13.4498 | − | 9.83454i | 0.538853 | − | 0.394012i | ||||
\(624\) | −0.130822 | + | 2.41845i | −0.00523706 | + | 0.0968154i | ||||
\(625\) | −10.8242 | + | 18.7480i | −0.432967 | + | 0.749921i | ||||
\(626\) | 9.53777 | + | 9.53777i | 0.381206 | + | 0.381206i | ||||
\(627\) | 19.5905 | 0.782370 | ||||||||
\(628\) | 15.3368 | 0.612005 | ||||||||
\(629\) | 32.7694 | + | 32.7694i | 1.30660 | + | 1.30660i | ||||
\(630\) | 2.73672 | − | 3.40069i | 0.109034 | − | 0.135487i | ||||
\(631\) | −2.62809 | + | 9.80818i | −0.104623 | + | 0.390458i | −0.998302 | − | 0.0582487i | \(-0.981448\pi\) |
0.893679 | + | 0.448706i | \(0.148115\pi\) | |||||||
\(632\) | 5.52475 | − | 1.48035i | 0.219763 | − | 0.0588852i | ||||
\(633\) | 9.72190 | + | 5.61294i | 0.386411 | + | 0.223094i | ||||
\(634\) | − | 12.6261i | − | 0.501446i | ||||||
\(635\) | −21.1873 | − | 5.67712i | −0.840793 | − | 0.225290i | ||||
\(636\) | 2.99355 | 0.118702 | ||||||||
\(637\) | 23.6022 | + | 8.94080i | 0.935152 | + | 0.354247i | ||||
\(638\) | −4.82296 | −0.190943 | ||||||||
\(639\) | −9.44098 | − | 2.52970i | −0.373479 | − | 0.100074i | ||||
\(640\) | 19.1631i | 0.757490i | ||||||||
\(641\) | −20.0662 | − | 11.5852i | −0.792569 | − | 0.457590i | 0.0482973 | − | 0.998833i | \(-0.484621\pi\) |
−0.840866 | + | 0.541243i | \(0.817954\pi\) | |||||||
\(642\) | −1.53261 | + | 0.410663i | −0.0604875 | + | 0.0162076i | ||||
\(643\) | −6.46488 | + | 24.1273i | −0.254950 | + | 0.951486i | 0.713168 | + | 0.700993i | \(0.247259\pi\) |
−0.968118 | + | 0.250493i | \(0.919407\pi\) | |||||||
\(644\) | −8.81406 | + | 10.9525i | −0.347323 | + | 0.431589i | ||||
\(645\) | −1.38834 | − | 1.38834i | −0.0546658 | − | 0.0546658i | ||||
\(646\) | 41.2973 | 1.62482 | ||||||||
\(647\) | 4.58441 | 0.180232 | 0.0901160 | − | 0.995931i | \(-0.471276\pi\) | ||||
0.0901160 | + | 0.995931i | \(0.471276\pi\) | |||||||
\(648\) | 1.88042 | + | 1.88042i | 0.0738699 | + | 0.0738699i | ||||
\(649\) | 6.79083 | − | 11.7621i | 0.266564 | − | 0.461702i | ||||
\(650\) | −0.527259 | + | 1.61350i | −0.0206808 | + | 0.0632869i | ||||
\(651\) | 1.01051 | − | 0.738891i | 0.0396050 | − | 0.0289594i | ||||
\(652\) | 5.89176 | + | 21.9883i | 0.230739 | + | 0.861130i | ||||
\(653\) | 12.7283 | + | 22.0460i | 0.498096 | + | 0.862728i | 0.999998 | − | 0.00219688i | \(-0.000699289\pi\) |
−0.501901 | + | 0.864925i | \(0.667366\pi\) | |||||||
\(654\) | −2.21459 | + | 3.83579i | −0.0865974 | + | 0.149991i | ||||
\(655\) | 42.2780 | + | 11.3284i | 1.65194 | + | 0.442636i | ||||
\(656\) | 5.41086 | + | 5.41086i | 0.211259 | + | 0.211259i | ||||
\(657\) | −9.79963 | − | 2.62580i | −0.382320 | − | 0.102442i | ||||
\(658\) | −11.8116 | − | 9.50546i | −0.460465 | − | 0.370561i | ||||
\(659\) | −6.21741 | − | 10.7689i | −0.242196 | − | 0.419496i | 0.719144 | − | 0.694861i | \(-0.244534\pi\) |
−0.961339 | + | 0.275366i | \(0.911201\pi\) | |||||||
\(660\) | 6.13666 | − | 3.54300i | 0.238869 | − | 0.137911i | ||||
\(661\) | 26.6523 | − | 26.6523i | 1.03665 | − | 1.03665i | 0.0373506 | − | 0.999302i | \(-0.488108\pi\) |
0.999302 | − | 0.0373506i | \(-0.0118918\pi\) | |||||||
\(662\) | 3.88634 | − | 2.24378i | 0.151047 | − | 0.0872069i | ||||
\(663\) | 21.0712 | − | 10.6918i | 0.818338 | − | 0.415233i | ||||
\(664\) | − | 5.73288i | − | 0.222479i | ||||||
\(665\) | −41.4748 | + | 16.0658i | −1.60832 | + | 0.623004i | ||||
\(666\) | −2.78062 | + | 4.81618i | −0.107747 | + | 0.186623i | ||||
\(667\) | 9.64813i | 0.373577i | ||||||||
\(668\) | −0.00338495 | + | 0.0126328i | −0.000130968 | + | 0.000488778i | ||||
\(669\) | 2.63121 | + | 9.81982i | 0.101729 | + | 0.379656i | ||||
\(670\) | −13.4541 | + | 13.4541i | −0.519777 | + | 0.519777i | ||||
\(671\) | 16.2371 | − | 16.2371i | 0.626825 | − | 0.626825i | ||||
\(672\) | −6.24893 | + | 14.1511i | −0.241058 | + | 0.545892i | ||||
\(673\) | 21.1591 | + | 12.2162i | 0.815624 | + | 0.470901i | 0.848905 | − | 0.528545i | \(-0.177262\pi\) |
−0.0332811 | + | 0.999446i | \(0.510596\pi\) | |||||||
\(674\) | −1.33318 | + | 4.97551i | −0.0513524 | + | 0.191650i | ||||
\(675\) | −0.299326 | − | 0.518448i | −0.0115211 | − | 0.0199551i | ||||
\(676\) | −1.93736 | + | 17.8552i | −0.0745140 | + | 0.686740i | ||||
\(677\) | −3.00229 | − | 1.73338i | −0.115388 | − | 0.0666190i | 0.441195 | − | 0.897411i | \(-0.354555\pi\) |
−0.556583 | + | 0.830792i | \(0.687888\pi\) | |||||||
\(678\) | 9.42920 | − | 2.52655i | 0.362126 | − | 0.0970314i | ||||
\(679\) | 25.2180 | + | 34.4882i | 0.967776 | + | 1.32353i | ||||
\(680\) | 31.6635 | − | 18.2810i | 1.21424 | − | 0.701043i | ||||
\(681\) | 1.70402 | + | 6.35951i | 0.0652984 | + | 0.243697i | ||||
\(682\) | −0.878703 | + | 0.235448i | −0.0336473 | + | 0.00901576i | ||||
\(683\) | −36.7999 | + | 9.86051i | −1.40811 | + | 0.377302i | −0.881250 | − | 0.472650i | \(-0.843297\pi\) |
−0.526860 | + | 0.849952i | \(0.676631\pi\) | |||||||
\(684\) | −2.86524 | − | 10.6932i | −0.109555 | − | 0.408865i | ||||
\(685\) | −20.4831 | + | 11.8259i | −0.782619 | + | 0.451845i | ||||
\(686\) | 10.9123 | + | 9.64642i | 0.416633 | + | 0.368302i | ||||
\(687\) | 1.20056 | − | 0.321690i | 0.0458043 | − | 0.0122732i | ||||
\(688\) | 0.544437 | + | 0.314331i | 0.0207565 | + | 0.0119838i | ||||
\(689\) | 7.80117 | + | 0.421990i | 0.297201 | + | 0.0160765i | ||||
\(690\) | 3.17284 | + | 5.49552i | 0.120788 | + | 0.209211i | ||||
\(691\) | −5.81255 | + | 21.6927i | −0.221120 | + | 0.825230i | 0.762802 | + | 0.646632i | \(0.223823\pi\) |
−0.983922 | + | 0.178598i | \(0.942844\pi\) | |||||||
\(692\) | −25.0789 | − | 14.4793i | −0.953359 | − | 0.550422i | ||||
\(693\) | 6.43083 | − | 0.695715i | 0.244287 | − | 0.0264280i | ||||
\(694\) | −12.6815 | + | 12.6815i | −0.481384 | + | 0.481384i | ||||
\(695\) | 15.1308 | − | 15.1308i | 0.573944 | − | 0.573944i | ||||
\(696\) | 1.72655 | + | 6.44358i | 0.0654448 | + | 0.244243i | ||||
\(697\) | 19.3217 | − | 72.1094i | 0.731860 | − | 2.73134i | ||||
\(698\) | − | 1.60833i | − | 0.0608761i | ||||||
\(699\) | −7.32822 | + | 12.6928i | −0.277179 | + | 0.480088i | ||||
\(700\) | 1.37189 | − | 1.70474i | 0.0518528 | − | 0.0644330i | ||||
\(701\) | − | 43.0296i | − | 1.62520i | −0.582819 | − | 0.812602i | \(-0.698050\pi\) | ||
0.582819 | − | 0.812602i | \(-0.301950\pi\) | |||||||
\(702\) | 1.89376 | + | 2.11036i | 0.0714755 | + | 0.0796504i | ||||
\(703\) | 49.0736 | − | 28.3327i | 1.85085 | − | 1.06859i | ||||
\(704\) | 5.62646 | − | 5.62646i | 0.212055 | − | 0.212055i | ||||
\(705\) | 13.2391 | − | 7.64360i | 0.498614 | − | 0.287875i | ||||
\(706\) | 10.1707 | + | 17.6161i | 0.382778 | + | 0.662992i | ||||
\(707\) | −5.87171 | + | 7.29628i | −0.220829 | + | 0.274405i | ||||
\(708\) | −7.41337 | − | 1.98641i | −0.278611 | − | 0.0746537i | ||||
\(709\) | −14.0137 | − | 14.0137i | −0.526295 | − | 0.526295i | 0.393171 | − | 0.919466i | \(-0.371378\pi\) |
−0.919466 | + | 0.393171i | \(0.871378\pi\) | |||||||
\(710\) | −15.5763 | − | 4.17367i | −0.584570 | − | 0.156635i | ||||
\(711\) | −1.07540 | + | 1.86264i | −0.0403305 | + | 0.0698545i | ||||
\(712\) | 8.37359 | + | 14.5035i | 0.313814 | + | 0.543541i | ||||
\(713\) | 0.471003 | + | 1.75781i | 0.0176392 | + | 0.0658304i | ||||
\(714\) | 13.5564 | − | 1.46659i | 0.507335 | − | 0.0548856i | ||||
\(715\) | 16.4916 | − | 8.36798i | 0.616749 | − | 0.312945i | ||||
\(716\) | −6.66522 | + | 11.5445i | −0.249091 | + | 0.431438i | ||||
\(717\) | 4.85743 | + | 4.85743i | 0.181404 | + | 0.181404i | ||||
\(718\) | −11.8358 | −0.441709 | ||||||||
\(719\) | 46.5796 | 1.73713 | 0.868563 | − | 0.495579i | \(-0.165044\pi\) | ||||
0.868563 | + | 0.495579i | \(0.165044\pi\) | |||||||
\(720\) | −0.996500 | − | 0.996500i | −0.0371374 | − | 0.0371374i | ||||
\(721\) | −8.75841 | − | 22.6104i | −0.326180 | − | 0.842055i | ||||
\(722\) | 9.20205 | − | 34.3425i | 0.342465 | − | 1.27810i | ||||
\(723\) | 18.4629 | − | 4.94711i | 0.686641 | − | 0.183985i | ||||
\(724\) | 1.50473 | + | 0.868756i | 0.0559229 | + | 0.0322871i | ||||
\(725\) | − | 1.50172i | − | 0.0557723i | ||||||
\(726\) | 3.81553 | + | 1.02237i | 0.141607 | + | 0.0379436i | ||||
\(727\) | −38.0896 | −1.41266 | −0.706332 | − | 0.707880i | \(-0.749652\pi\) | ||||
−0.706332 | + | 0.707880i | \(0.749652\pi\) | |||||||
\(728\) | −11.4861 | + | 22.6190i | −0.425703 | + | 0.838316i | ||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | −16.1681 | − | 4.33222i | −0.598407 | − | 0.160343i | ||||
\(731\) | − | 6.13315i | − | 0.226843i | ||||||
\(732\) | −11.2375 | − | 6.48800i | −0.415352 | − | 0.239803i | ||||
\(733\) | 30.4740 | − | 8.16549i | 1.12558 | − | 0.301599i | 0.352443 | − | 0.935833i | \(-0.385351\pi\) |
0.773141 | + | 0.634234i | \(0.218684\pi\) | |||||||
\(734\) | −3.11360 | + | 11.6201i | −0.114925 | + | 0.428906i | ||||
\(735\) | −13.0441 | + | 6.74668i | −0.481139 | + | 0.248855i | ||||
\(736\) | −15.9016 | − | 15.9016i | −0.586140 | − | 0.586140i | ||||
\(737\) | −28.1946 | −1.03856 | ||||||||
\(738\) | 8.95855 | 0.329769 | ||||||||
\(739\) | −20.9621 | − | 20.9621i | −0.771103 | − | 0.771103i | 0.207197 | − | 0.978299i | \(-0.433566\pi\) |
−0.978299 | + | 0.207197i | \(0.933566\pi\) | |||||||
\(740\) | 10.2481 | − | 17.7502i | 0.376728 | − | 0.652512i | ||||
\(741\) | −5.95941 | − | 28.2704i | −0.218924 | − | 1.03854i | ||||
\(742\) | 4.12424 | + | 1.82120i | 0.151405 | + | 0.0668583i | ||||
\(743\) | 6.49849 | + | 24.2527i | 0.238406 | + | 0.889745i | 0.976584 | + | 0.215138i | \(0.0690201\pi\) |
−0.738177 | + | 0.674607i | \(0.764313\pi\) | |||||||
\(744\) | 0.629127 | + | 1.08968i | 0.0230649 | + | 0.0399496i | ||||
\(745\) | −4.93599 | + | 8.54939i | −0.180841 | + | 0.313225i | ||||
\(746\) | 15.5282 | + | 4.16077i | 0.568528 | + | 0.152337i | ||||
\(747\) | 1.52436 | + | 1.52436i | 0.0557735 | + | 0.0557735i | ||||
\(748\) | 21.3805 | + | 5.72890i | 0.781750 | + | 0.209469i | ||||
\(749\) | 5.27485 | + | 0.818995i | 0.192739 | + | 0.0299254i | ||||
\(750\) | −4.61851 | − | 7.99949i | −0.168644 | − | 0.292100i | ||||
\(751\) | −26.9618 | + | 15.5664i | −0.983849 | + | 0.568025i | −0.903430 | − | 0.428736i | \(-0.858959\pi\) |
−0.0804190 | + | 0.996761i | \(0.525626\pi\) | |||||||
\(752\) | −3.46114 | + | 3.46114i | −0.126215 | + | 0.126215i | ||||
\(753\) | 2.37330 | − | 1.37023i | 0.0864880 | − | 0.0499338i | ||||
\(754\) | 1.46714 | + | 6.95984i | 0.0534300 | + | 0.253462i | ||||
\(755\) | 1.22489i | 0.0445784i | ||||||||
\(756\) | −1.32030 | − | 3.40843i | −0.0480188 | − | 0.123963i | ||||
\(757\) | 1.51455 | − | 2.62328i | 0.0550472 | − | 0.0953446i | −0.837189 | − | 0.546914i | \(-0.815802\pi\) |
0.892236 | + | 0.451570i | \(0.149136\pi\) | |||||||
\(758\) | 4.99034i | 0.181257i | ||||||||
\(759\) | −2.43372 | + | 9.08277i | −0.0883385 | + | 0.329684i | ||||
\(760\) | −11.5707 | − | 43.1825i | −0.419714 | − | 1.56639i | ||||
\(761\) | −20.7427 | + | 20.7427i | −0.751923 | + | 0.751923i | −0.974838 | − | 0.222915i | \(-0.928443\pi\) |
0.222915 | + | 0.974838i | \(0.428443\pi\) | |||||||
\(762\) | 5.81406 | − | 5.81406i | 0.210621 | − | 0.210621i | ||||
\(763\) | 12.0285 | − | 8.79530i | 0.435460 | − | 0.318411i | ||||
\(764\) | −2.92535 | − | 1.68895i | −0.105835 | − | 0.0611040i | ||||
\(765\) | −3.55840 | + | 13.2801i | −0.128654 | + | 0.480144i | ||||
\(766\) | 2.46154 | + | 4.26351i | 0.0889389 | + | 0.154047i | ||||
\(767\) | −19.0392 | − | 6.22160i | −0.687465 | − | 0.224649i | ||||
\(768\) | −11.8582 | − | 6.84635i | −0.427897 | − | 0.247046i | ||||
\(769\) | 30.9694 | − | 8.29823i | 1.11679 | − | 0.299242i | 0.347203 | − | 0.937790i | \(-0.387131\pi\) |
0.769582 | + | 0.638548i | \(0.220465\pi\) | |||||||
\(770\) | 10.6100 | − | 1.14784i | 0.382358 | − | 0.0413651i | ||||
\(771\) | −9.49291 | + | 5.48074i | −0.341879 | + | 0.197384i | ||||
\(772\) | −6.15399 | − | 22.9670i | −0.221487 | − | 0.826601i | ||||
\(773\) | −43.0528 | + | 11.5360i | −1.54850 | + | 0.414920i | −0.929001 | − | 0.370076i | \(-0.879332\pi\) |
−0.619501 | + | 0.784996i | \(0.712665\pi\) | |||||||
\(774\) | 0.710914 | − | 0.190489i | 0.0255533 | − | 0.00684698i | ||||
\(775\) | −0.0733109 | − | 0.273600i | −0.00263341 | − | 0.00982801i | ||||
\(776\) | −37.1902 | + | 21.4718i | −1.33505 | + | 0.770791i | ||||
\(777\) | 15.1029 | − | 11.0433i | 0.541813 | − | 0.396176i | ||||
\(778\) | 4.14094 | − | 1.10956i | 0.148460 | − | 0.0397797i | ||||
\(779\) | −79.0521 | − | 45.6408i | −2.83234 | − | 1.63525i | ||||
\(780\) | −6.97955 | − | 7.77782i | −0.249908 | − | 0.278491i | ||||
\(781\) | −11.9478 | − | 20.6942i | −0.427526 | − | 0.740497i | ||||
\(782\) | −5.13036 | + | 19.1467i | −0.183461 | + | 0.684686i | ||||
\(783\) | −2.17242 | − | 1.25425i | −0.0776360 | − | 0.0448232i | ||||
\(784\) | 3.47516 | − | 3.16758i | 0.124113 | − | 0.113128i | ||||
\(785\) | −16.4683 | + | 16.4683i | −0.587779 | + | 0.587779i | ||||
\(786\) | −11.6016 | + | 11.6016i | −0.413816 | + | 0.413816i | ||||
\(787\) | −4.77097 | − | 17.8055i | −0.170067 | − | 0.634698i | −0.997339 | − | 0.0728975i | \(-0.976775\pi\) |
0.827273 | − | 0.561801i | \(-0.189891\pi\) | |||||||
\(788\) | 8.37018 | − | 31.2379i | 0.298175 | − | 1.11281i | ||||
\(789\) | 22.1190i | 0.787457i | ||||||||
\(790\) | −1.77426 | + | 3.07311i | −0.0631253 | + | 0.109336i | ||||
\(791\) | −32.4528 | − | 5.03875i | −1.15389 | − | 0.179157i | ||||
\(792\) | 6.50152i | 0.231022i | ||||||||
\(793\) | −28.3704 | − | 18.4918i | −1.00746 | − | 0.656664i | ||||
\(794\) | 6.52932 | − | 3.76971i | 0.231717 | − | 0.133782i | ||||
\(795\) | −3.21440 | + | 3.21440i | −0.114003 | + | 0.114003i | ||||
\(796\) | 22.3037 | − | 12.8770i | 0.790532 | − | 0.456414i | ||||
\(797\) | 6.45241 | + | 11.1759i | 0.228556 | + | 0.395871i | 0.957380 | − | 0.288830i | \(-0.0932662\pi\) |
−0.728824 | + | 0.684701i | \(0.759933\pi\) | |||||||
\(798\) | 2.55802 | − | 16.4753i | 0.0905529 | − | 0.583218i | ||||
\(799\) | 46.1259 | + | 12.3594i | 1.63182 | + | 0.437244i | ||||
\(800\) | 2.47506 | + | 2.47506i | 0.0875065 | + | 0.0875065i | ||||
\(801\) | −6.08297 | − | 1.62993i | −0.214931 | − | 0.0575906i | ||||
\(802\) | −14.7488 | + | 25.5456i | −0.520798 | + | 0.902048i | ||||
\(803\) | −12.4017 | − | 21.4804i | −0.437646 | − | 0.758025i | ||||
\(804\) | 4.12365 | + | 15.3897i | 0.145430 | + | 0.542751i | ||||
\(805\) | −2.29620 | − | 21.2249i | −0.0809303 | − | 0.748078i | ||||
\(806\) | 0.607067 | + | 1.19640i | 0.0213830 | + | 0.0421415i | ||||
\(807\) | 4.56433 | − | 7.90566i | 0.160672 | − | 0.278292i | ||||
\(808\) | −6.65637 | − | 6.65637i | −0.234170 | − | 0.234170i | ||||
\(809\) | 38.1452 | 1.34112 | 0.670558 | − | 0.741857i | \(-0.266055\pi\) | ||||
0.670558 | + | 0.741857i | \(0.266055\pi\) | |||||||
\(810\) | −1.64986 | −0.0579703 | ||||||||
\(811\) | 10.6932 | + | 10.6932i | 0.375490 | + | 0.375490i | 0.869472 | − | 0.493982i | \(-0.164459\pi\) |
−0.493982 | + | 0.869472i | \(0.664459\pi\) | |||||||
\(812\) | 1.40677 | − | 9.06053i | 0.0493681 | − | 0.317962i | ||||
\(813\) | 5.02495 | − | 18.7534i | 0.176233 | − | 0.657709i | ||||
\(814\) | −13.1329 | + | 3.51895i | −0.460308 | + | 0.123339i | ||||
\(815\) | −29.9370 | − | 17.2841i | −1.04865 | − | 0.605437i | ||||
\(816\) | − | 4.40216i | − | 0.154106i | ||||||
\(817\) | −7.24373 | − | 1.94095i | −0.253426 | − | 0.0679053i | ||||
\(818\) | 24.1718 | 0.845146 | ||||||||
\(819\) | −2.96021 | − | 9.06847i | −0.103438 | − | 0.316878i | ||||
\(820\) | −33.0171 | −1.15301 | ||||||||
\(821\) | 23.6589 | + | 6.33938i | 0.825701 | + | 0.221246i | 0.646837 | − | 0.762628i | \(-0.276091\pi\) |
0.178864 | + | 0.983874i | \(0.442758\pi\) | |||||||
\(822\) | − | 8.86600i | − | 0.309237i | ||||||
\(823\) | −11.7119 | − | 6.76187i | −0.408251 | − | 0.235704i | 0.281787 | − | 0.959477i | \(-0.409073\pi\) |
−0.690038 | + | 0.723773i | \(0.742406\pi\) | |||||||
\(824\) | 23.5413 | − | 6.30788i | 0.820101 | − | 0.219746i | ||||
\(825\) | 0.378805 | − | 1.41372i | 0.0131883 | − | 0.0492194i | ||||
\(826\) | −9.00498 | − | 7.24680i | −0.313323 | − | 0.252148i | ||||
\(827\) | 24.6131 | + | 24.6131i | 0.855881 | + | 0.855881i | 0.990850 | − | 0.134969i | \(-0.0430935\pi\) |
−0.134969 | + | 0.990850i | \(0.543094\pi\) | |||||||
\(828\) | 5.31366 | 0.184662 | ||||||||
\(829\) | 19.7093 | 0.684531 | 0.342266 | − | 0.939603i | \(-0.388806\pi\) | ||||
0.342266 | + | 0.939603i | \(0.388806\pi\) | |||||||
\(830\) | 2.51499 | + | 2.51499i | 0.0872966 | + | 0.0872966i | ||||
\(831\) | −14.0411 | + | 24.3199i | −0.487081 | + | 0.843649i | ||||
\(832\) | −9.83090 | − | 6.40778i | −0.340825 | − | 0.222150i | ||||
\(833\) | −43.7140 | − | 13.9098i | −1.51460 | − | 0.481945i | ||||
\(834\) | 2.07604 | + | 7.74789i | 0.0718874 | + | 0.268288i | ||||
\(835\) | −0.00993013 | − | 0.0171995i | −0.000343646 | − | 0.000595213i | ||||
\(836\) | 13.5325 | − | 23.4391i | 0.468033 | − | 0.810657i | ||||
\(837\) | −0.457027 | − | 0.122460i | −0.0157972 | − | 0.00423284i | ||||
\(838\) | 13.0023 | + | 13.0023i | 0.449156 | + | 0.449156i | ||||
\(839\) | −22.4087 | − | 6.00440i | −0.773635 | − | 0.207295i | −0.149658 | − | 0.988738i | \(-0.547817\pi\) |
−0.623977 | + | 0.781443i | \(0.714484\pi\) | |||||||
\(840\) | −5.33177 | − | 13.7643i | −0.183963 | − | 0.474913i | ||||
\(841\) | 11.3537 | + | 19.6652i | 0.391508 | + | 0.678111i | ||||
\(842\) | −13.6280 | + | 7.86814i | −0.469652 | + | 0.271154i | ||||
\(843\) | 3.79779 | − | 3.79779i | 0.130803 | − | 0.130803i | ||||
\(844\) | 13.4312 | − | 7.75451i | 0.462321 | − | 0.266921i | ||||
\(845\) | −17.0922 | − | 21.2528i | −0.587991 | − | 0.731120i | ||||
\(846\) | 5.73048i | 0.197018i | ||||||||
\(847\) | −10.3532 | − | 8.33178i | −0.355740 | − | 0.286283i | ||||
\(848\) | 0.727766 | − | 1.26053i | 0.0249916 | − | 0.0432867i | ||||
\(849\) | − | 1.38508i | − | 0.0475358i | ||||||
\(850\) | 0.798532 | − | 2.98016i | 0.0273894 | − | 0.102219i | ||||
\(851\) | 7.03952 | + | 26.2718i | 0.241312 | + | 0.900587i | ||||
\(852\) | −9.54821 | + | 9.54821i | −0.327116 | + | 0.327116i | ||||
\(853\) | 25.2631 | − | 25.2631i | 0.864993 | − | 0.864993i | −0.126920 | − | 0.991913i | \(-0.540509\pi\) |
0.991913 | + | 0.126920i | \(0.0405091\pi\) | |||||||
\(854\) | −11.5349 | − | 15.7752i | −0.394717 | − | 0.539817i | ||||
\(855\) | 14.5588 | + | 8.40550i | 0.497899 | + | 0.287462i | ||||
\(856\) | −1.38867 | + | 5.18260i | −0.0474639 | + | 0.177138i | ||||
\(857\) | 3.17108 | + | 5.49248i | 0.108322 | + | 0.187619i | 0.915091 | − | 0.403248i | \(-0.132119\pi\) |
−0.806769 | + | 0.590868i | \(0.798786\pi\) | |||||||
\(858\) | −0.374439 | + | 6.92210i | −0.0127831 | + | 0.236316i | ||||
\(859\) | 12.1601 | + | 7.02065i | 0.414898 | + | 0.239541i | 0.692892 | − | 0.721041i | \(-0.256336\pi\) |
−0.277994 | + | 0.960583i | \(0.589670\pi\) | |||||||
\(860\) | −2.62010 | + | 0.702054i | −0.0893448 | + | 0.0239399i | ||||
\(861\) | −27.5707 | − | 12.1748i | −0.939607 | − | 0.414916i | ||||
\(862\) | −8.98196 | + | 5.18573i | −0.305927 | + | 0.176627i | ||||
\(863\) | −8.99722 | − | 33.5781i | −0.306269 | − | 1.14301i | −0.931848 | − | 0.362850i | \(-0.881804\pi\) |
0.625579 | − | 0.780161i | \(-0.284863\pi\) | |||||||
\(864\) | 5.64767 | − | 1.51329i | 0.192138 | − | 0.0514832i | ||||
\(865\) | 42.4768 | − | 11.3816i | 1.44425 | − | 0.386987i | ||||
\(866\) | −2.25470 | − | 8.41464i | −0.0766177 | − | 0.285941i | ||||
\(867\) | −22.4707 | + | 12.9735i | −0.763144 | + | 0.440602i | ||||
\(868\) | −0.186015 | − | 1.71943i | −0.00631376 | − | 0.0583612i | ||||
\(869\) | −5.07911 | + | 1.36094i | −0.172297 | + | 0.0461668i | ||||
\(870\) | −3.58420 | − | 2.06934i | −0.121516 | − | 0.0701572i | ||||
\(871\) | 8.57677 | + | 40.6867i | 0.290613 | + | 1.37861i | ||||
\(872\) | 7.48873 | + | 12.9709i | 0.253600 | + | 0.439249i | ||||
\(873\) | 4.17950 | − | 15.5981i | 0.141454 | − | 0.527915i | ||||
\(874\) | 20.9902 | + | 12.1187i | 0.710004 | + | 0.409921i | ||||
\(875\) | 3.34243 | + | 30.8957i | 0.112995 | + | 1.04447i | ||||
\(876\) | −9.91093 | + | 9.91093i | −0.334859 | + | 0.334859i | ||||
\(877\) | 19.7076 | − | 19.7076i | 0.665480 | − | 0.665480i | −0.291186 | − | 0.956666i | \(-0.594050\pi\) |
0.956666 | + | 0.291186i | \(0.0940500\pi\) | |||||||
\(878\) | −2.69346 | − | 10.0521i | −0.0909000 | − | 0.339244i | ||||
\(879\) | 4.64324 | − | 17.3288i | 0.156613 | − | 0.584486i | ||||
\(880\) | − | 3.44538i | − | 0.116144i | ||||||
\(881\) | −4.46832 | + | 7.73936i | −0.150542 | + | 0.260746i | −0.931427 | − | 0.363929i | \(-0.881435\pi\) |
0.780885 | + | 0.624675i | \(0.214768\pi\) | |||||||
\(882\) | 0.254618 | − | 5.49906i | 0.00857345 | − | 0.185163i | ||||
\(883\) | − | 17.8140i | − | 0.599488i | −0.954020 | − | 0.299744i | \(-0.903099\pi\) | ||
0.954020 | − | 0.299744i | \(-0.0969012\pi\) | |||||||
\(884\) | 1.76323 | − | 32.5962i | 0.0593039 | − | 1.09633i | ||||
\(885\) | 10.0933 | − | 5.82735i | 0.339281 | − | 0.195884i | ||||
\(886\) | −2.73128 | + | 2.73128i | −0.0917592 | + | 0.0917592i | ||||
\(887\) | −37.5260 | + | 21.6656i | −1.26000 | + | 0.727461i | −0.973074 | − | 0.230492i | \(-0.925966\pi\) |
−0.286925 | + | 0.957953i | \(0.592633\pi\) | |||||||
\(888\) | 9.40280 | + | 16.2861i | 0.315537 | + | 0.546526i | ||||
\(889\) | −25.7947 | + | 9.99188i | −0.865125 | + | 0.335117i | ||||
\(890\) | −10.0361 | − | 2.68916i | −0.336410 | − | 0.0901407i | ||||
\(891\) | −1.72874 | − | 1.72874i | −0.0579150 | − | 0.0579150i | ||||
\(892\) | 13.5665 | + | 3.63513i | 0.454239 | + | 0.121713i | ||||
\(893\) | 29.1948 | − | 50.5669i | 0.976968 | − | 1.69216i | ||||
\(894\) | −1.85028 | − | 3.20478i | −0.0618826 | − | 0.107184i | ||||
\(895\) | −5.23926 | − | 19.5532i | −0.175129 | − | 0.653591i | ||||
\(896\) | 14.2645 | + | 19.5082i | 0.476543 | + | 0.651722i | ||||
\(897\) | 13.8474 | + | 0.749048i | 0.462350 | + | 0.0250100i | ||||
\(898\) | −0.374035 | + | 0.647848i | −0.0124817 | + | 0.0216190i | ||||
\(899\) | −0.839259 | − | 0.839259i | −0.0279909 | − | 0.0279909i | ||||
\(900\) | −0.827063 | −0.0275688 | ||||||||
\(901\) | −14.2000 | −0.473071 | ||||||||
\(902\) | 15.4870 | + | 15.4870i | 0.515661 | + | 0.515661i | ||||
\(903\) | −2.44678 | − | 0.379897i | −0.0814236 | − | 0.0126422i | ||||
\(904\) | 8.54362 | − | 31.8852i | 0.284157 | − | 1.06049i | ||||
\(905\) | −2.54860 | + | 0.682894i | −0.0847182 | + | 0.0227002i | ||||
\(906\) | −0.397641 | − | 0.229578i | −0.0132107 | − | 0.00762723i | ||||
\(907\) | 35.5242i | 1.17956i | 0.807563 | + | 0.589781i | \(0.200786\pi\) | ||||
−0.807563 | + | 0.589781i | \(0.799214\pi\) | |||||||
\(908\) | 8.78592 | + | 2.35418i | 0.291571 | + | 0.0781262i | ||||
\(909\) | 3.53983 | 0.117409 | ||||||||
\(910\) | −4.88395 | − | 14.9617i | −0.161901 | − | 0.495977i | ||||
\(911\) | −56.1740 | −1.86113 | −0.930564 | − | 0.366130i | \(-0.880682\pi\) | ||||
−0.930564 | + | 0.366130i | \(0.880682\pi\) | |||||||
\(912\) | −5.19929 | − | 1.39315i | −0.172166 | − | 0.0461316i | ||||
\(913\) | 5.27045i | 0.174427i | ||||||||
\(914\) | −13.1034 | − | 7.56528i | −0.433424 | − | 0.250237i | ||||
\(915\) | 19.0333 | − | 5.09995i | 0.629221 | − | 0.168599i | ||||
\(916\) | 0.444427 | − | 1.65863i | 0.0146843 | − | 0.0548025i | ||||
\(917\) | 51.4718 | − | 19.9382i | 1.69975 | − | 0.658418i | ||||
\(918\) | −3.64424 | − | 3.64424i | −0.120278 | − | 0.120278i | ||||
\(919\) | −42.4656 | −1.40081 | −0.700405 | − | 0.713746i | \(-0.746997\pi\) | ||||
−0.700405 | + | 0.713746i | \(0.746997\pi\) | |||||||
\(920\) | 21.4582 | 0.707455 | ||||||||
\(921\) | −5.47242 | − | 5.47242i | −0.180322 | − | 0.180322i | ||||
\(922\) | 2.53513 | − | 4.39098i | 0.0834902 | − | 0.144609i | ||||
\(923\) | −26.2286 | + | 23.5366i | −0.863324 | + | 0.774717i | ||||
\(924\) | 3.60984 | − | 8.17475i | 0.118755 | − | 0.268929i | ||||
\(925\) | −1.09569 | − | 4.08917i | −0.0360261 | − | 0.134451i | ||||
\(926\) | −4.27066 | − | 7.39700i | −0.140343 | − | 0.243080i | ||||
\(927\) | −4.58234 | + | 7.93684i | −0.150504 | + | 0.260680i | ||||
\(928\) | 14.1672 | + | 3.79608i | 0.465060 | + | 0.124612i | ||||
\(929\) | 20.4024 | + | 20.4024i | 0.669380 | + | 0.669380i | 0.957573 | − | 0.288192i | \(-0.0930542\pi\) |
−0.288192 | + | 0.957573i | \(0.593054\pi\) | |||||||
\(930\) | −0.754032 | − | 0.202042i | −0.0247257 | − | 0.00662523i | ||||
\(931\) | −30.2627 | + | 47.2277i | −0.991818 | + | 1.54782i | ||||
\(932\) | 10.1242 | + | 17.5357i | 0.331630 | + | 0.574400i | ||||
\(933\) | −5.66998 | + | 3.27357i | −0.185627 | + | 0.107172i | ||||
\(934\) | −11.9266 | + | 11.9266i | −0.390251 | + | 0.390251i | ||||
\(935\) | −29.1095 | + | 16.8064i | −0.951982 | + | 0.549627i | ||||
\(936\) | 9.38211 | − | 1.97776i | 0.306664 | − | 0.0646449i | ||||
\(937\) | 15.4230i | 0.503847i | 0.967747 | + | 0.251923i | \(0.0810631\pi\) | ||||
−0.967747 | + | 0.251923i | \(0.918937\pi\) | |||||||
\(938\) | −3.68150 | + | 23.7112i | −0.120205 | + | 0.774198i | ||||
\(939\) | −8.57583 | + | 14.8538i | −0.279862 | + | 0.484735i | ||||
\(940\) | − | 21.1199i | − | 0.688855i | ||||||
\(941\) | 8.53393 | − | 31.8491i | 0.278198 | − | 1.03825i | −0.675470 | − | 0.737388i | \(-0.736059\pi\) |
0.953668 | − | 0.300862i | \(-0.0972743\pi\) | |||||||
\(942\) | −2.25955 | − | 8.43277i | −0.0736203 | − | 0.274755i | ||||
\(943\) | 30.9811 | − | 30.9811i | 1.00888 | − | 1.00888i | ||||
\(944\) | −2.63872 | + | 2.63872i | −0.0858829 | + | 0.0858829i | ||||
\(945\) | 5.07760 | + | 2.24219i | 0.165174 | + | 0.0729384i | ||||
\(946\) | 1.55829 | + | 0.899681i | 0.0506645 | + | 0.0292511i | ||||
\(947\) | −6.40405 | + | 23.9002i | −0.208104 | + | 0.776654i | 0.780377 | + | 0.625309i | \(0.215027\pi\) |
−0.988481 | + | 0.151345i | \(0.951640\pi\) | |||||||
\(948\) | 1.48570 | + | 2.57332i | 0.0482534 | + | 0.0835774i | ||||
\(949\) | −27.2249 | + | 24.4307i | −0.883759 | + | 0.793055i | ||||
\(950\) | −3.26709 | − | 1.88626i | −0.105998 | − | 0.0611983i | ||||
\(951\) | 15.5081 | − | 4.15537i | 0.502883 | − | 0.134747i | ||||
\(952\) | 18.6258 | − | 42.1795i | 0.603667 | − | 1.36705i | ||||
\(953\) | 38.7397 | − | 22.3663i | 1.25490 | − | 0.724517i | 0.282822 | − | 0.959172i | \(-0.408729\pi\) |
0.972079 | + | 0.234655i | \(0.0753962\pi\) | |||||||
\(954\) | −0.441036 | − | 1.64597i | −0.0142791 | − | 0.0532902i | ||||
\(955\) | 4.95472 | − | 1.32761i | 0.160331 | − | 0.0429606i | ||||
\(956\) | 9.16704 | − | 2.45630i | 0.296483 | − | 0.0794425i | ||||
\(957\) | −1.58728 | − | 5.92382i | −0.0513096 | − | 0.191490i | ||||
\(958\) | 12.3291 | − | 7.11824i | 0.398337 | − | 0.229980i | ||||
\(959\) | −12.0490 | + | 27.2859i | −0.389083 | + | 0.881106i | ||||
\(960\) | 6.59541 | − | 1.76723i | 0.212866 | − | 0.0570373i | ||||
\(961\) | 26.6529 | + | 15.3881i | 0.859771 | + | 0.496389i | ||||
\(962\) | 9.07309 | + | 17.8812i | 0.292528 | + | 0.576512i | ||||
\(963\) | −1.00880 | − | 1.74729i | −0.0325080 | − | 0.0563055i | ||||
\(964\) | 6.83464 | − | 25.5072i | 0.220129 | − | 0.821532i | ||||
\(965\) | 31.2695 | + | 18.0534i | 1.00660 | + | 0.581161i | ||||
\(966\) | 7.32067 | + | 3.23270i | 0.235539 | + | 0.104010i | ||||
\(967\) | −7.27104 | + | 7.27104i | −0.233821 | + | 0.233821i | −0.814285 | − | 0.580465i | \(-0.802871\pi\) |
0.580465 | + | 0.814285i | \(0.302871\pi\) | |||||||
\(968\) | 9.44518 | − | 9.44518i | 0.303580 | − | 0.303580i | ||||
\(969\) | 13.5914 | + | 50.7236i | 0.436617 | + | 1.62948i | ||||
\(970\) | 6.89560 | − | 25.7347i | 0.221404 | − | 0.826293i | ||||
\(971\) | 21.8367i | 0.700773i | 0.936605 | + | 0.350387i | \(0.113950\pi\) | ||||
−0.936605 | + | 0.350387i | \(0.886050\pi\) | |||||||
\(972\) | −0.690770 | + | 1.19645i | −0.0221565 | + | 0.0383761i | ||||
\(973\) | 4.14030 | − | 26.6662i | 0.132732 | − | 0.854878i | ||||
\(974\) | − | 5.66316i | − | 0.181459i | ||||||
\(975\) | −2.15532 | − | 0.116588i | −0.0690255 | − | 0.00373381i | ||||
\(976\) | −5.46396 | + | 3.15462i | −0.174897 | + | 0.100977i | ||||
\(977\) | 2.67081 | − | 2.67081i | 0.0854467 | − | 0.0854467i | −0.663092 | − | 0.748538i | \(-0.730756\pi\) |
0.748538 | + | 0.663092i | \(0.230756\pi\) | |||||||
\(978\) | 11.2220 | − | 6.47904i | 0.358841 | − | 0.207177i | ||||
\(979\) | −7.69815 | − | 13.3336i | −0.246034 | − | 0.426143i | ||||
\(980\) | −0.938407 | + | 20.2670i | −0.0299763 | + | 0.647406i | ||||
\(981\) | −5.44016 | − | 1.45769i | −0.173691 | − | 0.0465404i | ||||
\(982\) | 15.6653 | + | 15.6653i | 0.499901 | + | 0.499901i | ||||
\(983\) | 45.7327 | + | 12.2540i | 1.45865 | + | 0.390843i | 0.899022 | − | 0.437903i | \(-0.144279\pi\) |
0.559625 | + | 0.828746i | \(0.310945\pi\) | |||||||
\(984\) | 15.1468 | − | 26.2351i | 0.482864 | − | 0.836345i | ||||
\(985\) | 24.5549 | + | 42.5303i | 0.782383 | + | 1.35513i | ||||
\(986\) | −3.34604 | − | 12.4876i | −0.106560 | − | 0.397686i | ||||
\(987\) | 7.78780 | − | 17.6360i | 0.247888 | − | 0.561361i | ||||
\(988\) | −37.9406 | − | 12.3982i | −1.20705 | − | 0.394439i | ||||
\(989\) | 1.79977 | − | 3.11730i | 0.0572294 | − | 0.0991243i | ||||
\(990\) | −2.85219 | − | 2.85219i | −0.0906485 | − | 0.0906485i | ||||
\(991\) | −10.4973 | −0.333459 | −0.166729 | − | 0.986003i | \(-0.553321\pi\) | ||||
−0.166729 | + | 0.986003i | \(0.553321\pi\) | |||||||
\(992\) | 2.76646 | 0.0878351 | ||||||||
\(993\) | 4.03496 | + | 4.03496i | 0.128046 | + | 0.128046i | ||||
\(994\) | −18.9635 | + | 7.34576i | −0.601487 | + | 0.232993i | ||||
\(995\) | −10.1221 | + | 37.7762i | −0.320892 | + | 1.19759i | ||||
\(996\) | 2.87681 | − | 0.770838i | 0.0911551 | − | 0.0244249i | ||||
\(997\) | 32.1168 | + | 18.5426i | 1.01715 | + | 0.587251i | 0.913277 | − | 0.407339i | \(-0.133543\pi\) |
0.103872 | + | 0.994591i | \(0.466877\pi\) | |||||||
\(998\) | − | 16.5444i | − | 0.523702i | ||||||
\(999\) | −6.83063 | − | 1.83026i | −0.216112 | − | 0.0579069i |
(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 | 273.2.cg.a.19.4 | yes | 36 | |
3.2 | odd | 2 | 819.2.gh.c.19.6 | 36 | |||
7.3 | odd | 6 | 273.2.bt.a.136.6 | ✓ | 36 | ||
13.11 | odd | 12 | 273.2.bt.a.271.6 | yes | 36 | ||
21.17 | even | 6 | 819.2.et.c.136.4 | 36 | |||
39.11 | even | 12 | 819.2.et.c.271.4 | 36 | |||
91.24 | even | 12 | inner | 273.2.cg.a.115.4 | yes | 36 | |
273.206 | odd | 12 | 819.2.gh.c.388.6 | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.bt.a.136.6 | ✓ | 36 | 7.3 | odd | 6 | ||
273.2.bt.a.271.6 | yes | 36 | 13.11 | odd | 12 | ||
273.2.cg.a.19.4 | yes | 36 | 1.1 | even | 1 | trivial | |
273.2.cg.a.115.4 | yes | 36 | 91.24 | even | 12 | inner | |
819.2.et.c.136.4 | 36 | 21.17 | even | 6 | |||
819.2.et.c.271.4 | 36 | 39.11 | even | 12 | |||
819.2.gh.c.19.6 | 36 | 3.2 | odd | 2 | |||
819.2.gh.c.388.6 | 36 | 273.206 | odd | 12 |