Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [378,2,Mod(43,378)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(378, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([4, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("378.43");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 378 = 2 \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 378.u (of order \(9\), degree \(6\), 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: | \(3.01834519640\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 85.5 | ||
Character | \(\chi\) | \(=\) | 378.85 |
Dual form | 378.2.u.e.169.5 |
$q$-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 \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.939693 | + | 0.342020i | 0.664463 | + | 0.241845i | ||||
\(3\) | 1.28430 | + | 1.16214i | 0.741489 | + | 0.670965i | ||||
\(4\) | 0.766044 | + | 0.642788i | 0.383022 | + | 0.321394i | ||||
\(5\) | −0.345781 | + | 1.96102i | −0.154638 | + | 0.876995i | 0.804478 | + | 0.593982i | \(0.202445\pi\) |
−0.959116 | + | 0.283013i | \(0.908666\pi\) | |||||||
\(6\) | 0.809368 | + | 1.53131i | 0.330423 | + | 0.625157i | ||||
\(7\) | 0.766044 | − | 0.642788i | 0.289538 | − | 0.242951i | ||||
\(8\) | 0.500000 | + | 0.866025i | 0.176777 | + | 0.306186i | ||||
\(9\) | 0.298838 | + | 2.98508i | 0.0996128 | + | 0.995026i | ||||
\(10\) | −0.995637 | + | 1.72449i | −0.314848 | + | 0.545333i | ||||
\(11\) | −0.732484 | − | 4.15412i | −0.220852 | − | 1.25251i | −0.870458 | − | 0.492243i | \(-0.836177\pi\) |
0.649605 | − | 0.760272i | \(-0.274934\pi\) | |||||||
\(12\) | 0.236816 | + | 1.71578i | 0.0683630 | + | 0.495304i | ||||
\(13\) | −2.94847 | + | 1.07316i | −0.817758 | + | 0.297640i | −0.716825 | − | 0.697253i | \(-0.754405\pi\) |
−0.100934 | + | 0.994893i | \(0.532183\pi\) | |||||||
\(14\) | 0.939693 | − | 0.342020i | 0.251143 | − | 0.0914087i | ||||
\(15\) | −2.72308 | + | 2.11669i | −0.703095 | + | 0.546526i | ||||
\(16\) | 0.173648 | + | 0.984808i | 0.0434120 | + | 0.246202i | ||||
\(17\) | 2.40789 | − | 4.17059i | 0.583999 | − | 1.01152i | −0.411001 | − | 0.911635i | \(-0.634821\pi\) |
0.994999 | − | 0.0998807i | \(-0.0318461\pi\) | |||||||
\(18\) | −0.740141 | + | 2.90727i | −0.174453 | + | 0.685249i | ||||
\(19\) | 1.91945 | + | 3.32458i | 0.440352 | + | 0.762712i | 0.997715 | − | 0.0675569i | \(-0.0215204\pi\) |
−0.557364 | + | 0.830268i | \(0.688187\pi\) | |||||||
\(20\) | −1.52540 | + | 1.27997i | −0.341091 | + | 0.286209i | ||||
\(21\) | 1.73084 | + | 0.0647244i | 0.377700 | + | 0.0141240i | ||||
\(22\) | 0.732484 | − | 4.15412i | 0.156166 | − | 0.885662i | ||||
\(23\) | −7.32143 | − | 6.14341i | −1.52662 | − | 1.28099i | −0.817556 | − | 0.575849i | \(-0.804672\pi\) |
−0.709068 | − | 0.705140i | \(-0.750884\pi\) | |||||||
\(24\) | −0.364298 | + | 1.69331i | −0.0743621 | + | 0.345645i | ||||
\(25\) | 0.972422 | + | 0.353933i | 0.194484 | + | 0.0707866i | ||||
\(26\) | −3.13770 | −0.615353 | ||||||||
\(27\) | −3.08530 | + | 4.18102i | −0.593766 | + | 0.804638i | ||||
\(28\) | 1.00000 | 0.188982 | ||||||||
\(29\) | 6.42350 | + | 2.33796i | 1.19281 | + | 0.434149i | 0.860711 | − | 0.509094i | \(-0.170020\pi\) |
0.332103 | + | 0.943243i | \(0.392242\pi\) | |||||||
\(30\) | −3.28280 | + | 1.05769i | −0.599355 | + | 0.193106i | ||||
\(31\) | 1.95298 | + | 1.63874i | 0.350766 | + | 0.294327i | 0.801097 | − | 0.598534i | \(-0.204250\pi\) |
−0.450332 | + | 0.892861i | \(0.648694\pi\) | |||||||
\(32\) | −0.173648 | + | 0.984808i | −0.0306970 | + | 0.174091i | ||||
\(33\) | 3.88697 | − | 6.18638i | 0.676634 | − | 1.07691i | ||||
\(34\) | 3.68910 | − | 3.09552i | 0.632675 | − | 0.530878i | ||||
\(35\) | 0.995637 | + | 1.72449i | 0.168293 | + | 0.291493i | ||||
\(36\) | −1.68985 | + | 2.47879i | −0.281641 | + | 0.413132i | ||||
\(37\) | 1.96163 | − | 3.39764i | 0.322490 | − | 0.558568i | −0.658511 | − | 0.752571i | \(-0.728814\pi\) |
0.981001 | + | 0.194002i | \(0.0621469\pi\) | |||||||
\(38\) | 0.666617 | + | 3.78058i | 0.108140 | + | 0.613290i | ||||
\(39\) | −5.03387 | − | 2.04830i | −0.806065 | − | 0.327990i | ||||
\(40\) | −1.87118 | + | 0.681056i | −0.295860 | + | 0.107684i | ||||
\(41\) | −2.70961 | + | 0.986218i | −0.423170 | + | 0.154021i | −0.544822 | − | 0.838551i | \(-0.683403\pi\) |
0.121652 | + | 0.992573i | \(0.461181\pi\) | |||||||
\(42\) | 1.60432 | + | 0.652804i | 0.247552 | + | 0.100730i | ||||
\(43\) | −0.641085 | − | 3.63578i | −0.0977646 | − | 0.554451i | −0.993865 | − | 0.110599i | \(-0.964723\pi\) |
0.896100 | − | 0.443851i | \(-0.146388\pi\) | |||||||
\(44\) | 2.10910 | − | 3.65307i | 0.317959 | − | 0.550722i | ||||
\(45\) | −5.95714 | − | 0.446155i | −0.888037 | − | 0.0665089i | ||||
\(46\) | −4.77872 | − | 8.27699i | −0.704584 | − | 1.22038i | ||||
\(47\) | 8.79161 | − | 7.37704i | 1.28239 | − | 1.07605i | 0.289478 | − | 0.957185i | \(-0.406518\pi\) |
0.992910 | − | 0.118867i | \(-0.0379261\pi\) | |||||||
\(48\) | −0.921473 | + | 1.46659i | −0.133003 | + | 0.211684i | ||||
\(49\) | 0.173648 | − | 0.984808i | 0.0248069 | − | 0.140687i | ||||
\(50\) | 0.792726 | + | 0.665176i | 0.112108 | + | 0.0940701i | ||||
\(51\) | 7.93927 | − | 2.55796i | 1.11172 | − | 0.358185i | ||||
\(52\) | −2.94847 | − | 1.07316i | −0.408879 | − | 0.148820i | ||||
\(53\) | −12.9026 | −1.77231 | −0.886155 | − | 0.463389i | \(-0.846633\pi\) | ||||
−0.886155 | + | 0.463389i | \(0.846633\pi\) | |||||||
\(54\) | −4.32922 | + | 2.87364i | −0.589133 | + | 0.391053i | ||||
\(55\) | 8.39960 | 1.13260 | ||||||||
\(56\) | 0.939693 | + | 0.342020i | 0.125572 | + | 0.0457044i | ||||
\(57\) | −1.39850 | + | 6.50043i | −0.185236 | + | 0.861003i | ||||
\(58\) | 5.23649 | + | 4.39393i | 0.687584 | + | 0.576952i | ||||
\(59\) | −0.543969 | + | 3.08500i | −0.0708188 | + | 0.401633i | 0.928706 | + | 0.370816i | \(0.120922\pi\) |
−0.999525 | + | 0.0308169i | \(0.990189\pi\) | |||||||
\(60\) | −3.44658 | − | 0.128884i | −0.444951 | − | 0.0166388i | ||||
\(61\) | −3.30626 | + | 2.77428i | −0.423323 | + | 0.355210i | −0.829426 | − | 0.558617i | \(-0.811332\pi\) |
0.406102 | + | 0.913828i | \(0.366888\pi\) | |||||||
\(62\) | 1.27472 | + | 2.20787i | 0.161889 | + | 0.280400i | ||||
\(63\) | 2.14770 | + | 2.09461i | 0.270584 | + | 0.263896i | ||||
\(64\) | −0.500000 | + | 0.866025i | −0.0625000 | + | 0.108253i | ||||
\(65\) | −1.08496 | − | 6.15309i | −0.134572 | − | 0.763197i | ||||
\(66\) | 5.76842 | − | 4.48387i | 0.710043 | − | 0.551927i | ||||
\(67\) | 13.4552 | − | 4.89729i | 1.64381 | − | 0.598299i | 0.656113 | − | 0.754663i | \(-0.272199\pi\) |
0.987700 | + | 0.156364i | \(0.0499772\pi\) | |||||||
\(68\) | 4.52535 | − | 1.64709i | 0.548779 | − | 0.199739i | ||||
\(69\) | −2.26336 | − | 16.3985i | −0.272477 | − | 1.97415i | ||||
\(70\) | 0.345781 | + | 1.96102i | 0.0413287 | + | 0.234387i | ||||
\(71\) | −3.02959 | + | 5.24740i | −0.359546 | + | 0.622752i | −0.987885 | − | 0.155188i | \(-0.950402\pi\) |
0.628339 | + | 0.777940i | \(0.283735\pi\) | |||||||
\(72\) | −2.43573 | + | 1.75134i | −0.287054 | + | 0.206398i | ||||
\(73\) | 4.22982 | + | 7.32626i | 0.495063 | + | 0.857474i | 0.999984 | − | 0.00569131i | \(-0.00181161\pi\) |
−0.504921 | + | 0.863166i | \(0.668478\pi\) | |||||||
\(74\) | 3.00539 | − | 2.52182i | 0.349369 | − | 0.293156i | ||||
\(75\) | 0.837558 | + | 1.58465i | 0.0967129 | + | 0.182980i | ||||
\(76\) | −0.666617 | + | 3.78058i | −0.0764663 | + | 0.433662i | ||||
\(77\) | −3.23133 | − | 2.71141i | −0.368245 | − | 0.308994i | ||||
\(78\) | −4.02973 | − | 3.64646i | −0.456278 | − | 0.412880i | ||||
\(79\) | −13.3291 | − | 4.85141i | −1.49964 | − | 0.545826i | −0.543676 | − | 0.839295i | \(-0.682968\pi\) |
−0.955969 | + | 0.293469i | \(0.905190\pi\) | |||||||
\(80\) | −1.99127 | −0.222631 | ||||||||
\(81\) | −8.82139 | + | 1.78411i | −0.980155 | + | 0.198235i | ||||
\(82\) | −2.88351 | −0.318430 | ||||||||
\(83\) | −3.32011 | − | 1.20842i | −0.364429 | − | 0.132641i | 0.153314 | − | 0.988178i | \(-0.451005\pi\) |
−0.517743 | + | 0.855536i | \(0.673228\pi\) | |||||||
\(84\) | 1.28430 | + | 1.16214i | 0.140128 | + | 0.126800i | ||||
\(85\) | 7.34601 | + | 6.16403i | 0.796786 | + | 0.668583i | ||||
\(86\) | 0.641085 | − | 3.63578i | 0.0691300 | − | 0.392056i | ||||
\(87\) | 5.53263 | + | 10.4677i | 0.593160 | + | 1.12225i | ||||
\(88\) | 3.23133 | − | 2.71141i | 0.344461 | − | 0.289037i | ||||
\(89\) | −5.49875 | − | 9.52411i | −0.582866 | − | 1.00955i | −0.995138 | − | 0.0984930i | \(-0.968598\pi\) |
0.412271 | − | 0.911061i | \(-0.364736\pi\) | |||||||
\(90\) | −5.44528 | − | 2.45671i | −0.573983 | − | 0.258960i | ||||
\(91\) | −1.56885 | + | 2.71732i | −0.164460 | + | 0.284853i | ||||
\(92\) | −1.65963 | − | 9.41225i | −0.173029 | − | 0.981295i | ||||
\(93\) | 0.603748 | + | 4.37428i | 0.0626057 | + | 0.453592i | ||||
\(94\) | 10.7845 | − | 3.92524i | 1.11234 | − | 0.404858i | ||||
\(95\) | −7.18329 | + | 2.61450i | −0.736990 | + | 0.268242i | ||||
\(96\) | −1.36751 | + | 1.06298i | −0.139570 | + | 0.108490i | ||||
\(97\) | 0.904341 | + | 5.12877i | 0.0918219 | + | 0.520748i | 0.995675 | + | 0.0929049i | \(0.0296152\pi\) |
−0.903853 | + | 0.427843i | \(0.859274\pi\) | |||||||
\(98\) | 0.500000 | − | 0.866025i | 0.0505076 | − | 0.0874818i | ||||
\(99\) | 12.1815 | − | 3.42793i | 1.22429 | − | 0.344520i | ||||
\(100\) | 0.517415 | + | 0.896189i | 0.0517415 | + | 0.0896189i | ||||
\(101\) | 7.18558 | − | 6.02942i | 0.714992 | − | 0.599949i | −0.211003 | − | 0.977485i | \(-0.567673\pi\) |
0.925995 | + | 0.377536i | \(0.123229\pi\) | |||||||
\(102\) | 8.33535 | + | 0.311698i | 0.825322 | + | 0.0308627i | ||||
\(103\) | 0.416602 | − | 2.36267i | 0.0410490 | − | 0.232801i | −0.957380 | − | 0.288831i | \(-0.906733\pi\) |
0.998429 | + | 0.0560307i | \(0.0178445\pi\) | |||||||
\(104\) | −2.40361 | − | 2.01687i | −0.235694 | − | 0.197771i | ||||
\(105\) | −0.725418 | + | 3.37184i | −0.0707935 | + | 0.329058i | ||||
\(106\) | −12.1245 | − | 4.41295i | −1.17763 | − | 0.428624i | ||||
\(107\) | −2.57323 | −0.248764 | −0.124382 | − | 0.992234i | \(-0.539695\pi\) | ||||
−0.124382 | + | 0.992234i | \(0.539695\pi\) | |||||||
\(108\) | −5.05098 | + | 1.21966i | −0.486031 | + | 0.117362i | ||||
\(109\) | −14.9444 | −1.43141 | −0.715707 | − | 0.698401i | \(-0.753895\pi\) | ||||
−0.715707 | + | 0.698401i | \(0.753895\pi\) | |||||||
\(110\) | 7.89304 | + | 2.87283i | 0.752572 | + | 0.273914i | ||||
\(111\) | 6.46786 | − | 2.08388i | 0.613902 | − | 0.197793i | ||||
\(112\) | 0.766044 | + | 0.642788i | 0.0723844 | + | 0.0607377i | ||||
\(113\) | 0.800361 | − | 4.53907i | 0.0752916 | − | 0.427000i | −0.923741 | − | 0.383018i | \(-0.874885\pi\) |
0.999032 | − | 0.0439816i | \(-0.0140043\pi\) | |||||||
\(114\) | −3.53744 | + | 5.63009i | −0.331312 | + | 0.527306i | ||||
\(115\) | 14.5790 | − | 12.2332i | 1.35950 | − | 1.14075i | ||||
\(116\) | 3.41787 | + | 5.91993i | 0.317342 | + | 0.549652i | ||||
\(117\) | −4.08457 | − | 8.48072i | −0.377619 | − | 0.784042i | ||||
\(118\) | −1.56630 | + | 2.71291i | −0.144189 | + | 0.249743i | ||||
\(119\) | −0.836251 | − | 4.74262i | −0.0766590 | − | 0.434755i | ||||
\(120\) | −3.19464 | − | 1.29991i | −0.291630 | − | 0.118665i | ||||
\(121\) | −6.38358 | + | 2.32343i | −0.580325 | + | 0.211221i | ||||
\(122\) | −4.05573 | + | 1.47616i | −0.367188 | + | 0.133646i | ||||
\(123\) | −4.62607 | − | 1.88236i | −0.417119 | − | 0.169727i | ||||
\(124\) | 0.442705 | + | 2.51070i | 0.0397560 | + | 0.225468i | ||||
\(125\) | −6.00850 | + | 10.4070i | −0.537416 | + | 0.930833i | ||||
\(126\) | 1.30177 | + | 2.70285i | 0.115971 | + | 0.240789i | ||||
\(127\) | −0.115845 | − | 0.200649i | −0.0102795 | − | 0.0178047i | 0.860840 | − | 0.508876i | \(-0.169939\pi\) |
−0.871119 | + | 0.491071i | \(0.836605\pi\) | |||||||
\(128\) | −0.766044 | + | 0.642788i | −0.0677094 | + | 0.0568149i | ||||
\(129\) | 3.40195 | − | 5.41445i | 0.299525 | − | 0.476716i | ||||
\(130\) | 1.08496 | − | 6.15309i | 0.0951569 | − | 0.539662i | ||||
\(131\) | −1.90708 | − | 1.60023i | −0.166623 | − | 0.139813i | 0.555664 | − | 0.831407i | \(-0.312464\pi\) |
−0.722286 | + | 0.691594i | \(0.756909\pi\) | |||||||
\(132\) | 6.95412 | − | 2.24055i | 0.605278 | − | 0.195015i | ||||
\(133\) | 3.60738 | + | 1.31298i | 0.312800 | + | 0.113850i | ||||
\(134\) | 14.3187 | 1.23695 | ||||||||
\(135\) | −7.13224 | − | 7.49605i | −0.613845 | − | 0.645157i | ||||
\(136\) | 4.81578 | 0.412950 | ||||||||
\(137\) | −12.4836 | − | 4.54367i | −1.06655 | − | 0.388192i | −0.251664 | − | 0.967815i | \(-0.580978\pi\) |
−0.814885 | + | 0.579622i | \(0.803200\pi\) | |||||||
\(138\) | 3.48176 | − | 16.1837i | 0.296387 | − | 1.37765i | ||||
\(139\) | 10.6429 | + | 8.93049i | 0.902723 | + | 0.757474i | 0.970721 | − | 0.240211i | \(-0.0772167\pi\) |
−0.0679979 | + | 0.997685i | \(0.521661\pi\) | |||||||
\(140\) | −0.345781 | + | 1.96102i | −0.0292238 | + | 0.165737i | ||||
\(141\) | 19.8642 | + | 0.742818i | 1.67287 | + | 0.0625566i | ||||
\(142\) | −4.64160 | + | 3.89476i | −0.389514 | + | 0.326841i | ||||
\(143\) | 6.61772 | + | 11.4622i | 0.553402 | + | 0.958520i | ||||
\(144\) | −2.88784 | + | 0.812652i | −0.240653 | + | 0.0677210i | ||||
\(145\) | −6.80592 | + | 11.7882i | −0.565201 | + | 0.978957i | ||||
\(146\) | 1.46900 | + | 8.33112i | 0.121575 | + | 0.689488i | ||||
\(147\) | 1.36751 | − | 1.06298i | 0.112790 | − | 0.0876732i | ||||
\(148\) | 3.68665 | − | 1.34183i | 0.303041 | − | 0.110298i | ||||
\(149\) | −15.5460 | + | 5.65827i | −1.27358 | + | 0.463544i | −0.888303 | − | 0.459259i | \(-0.848115\pi\) |
−0.385273 | + | 0.922803i | \(0.625893\pi\) | |||||||
\(150\) | 0.245065 | + | 1.77555i | 0.0200094 | + | 0.144973i | ||||
\(151\) | −0.633504 | − | 3.59278i | −0.0515538 | − | 0.292376i | 0.948120 | − | 0.317912i | \(-0.102982\pi\) |
−0.999674 | + | 0.0255363i | \(0.991871\pi\) | |||||||
\(152\) | −1.91945 | + | 3.32458i | −0.155688 | + | 0.269659i | ||||
\(153\) | 13.1691 | + | 5.94141i | 1.06466 | + | 0.480334i | ||||
\(154\) | −2.10910 | − | 3.65307i | −0.169956 | − | 0.294373i | ||||
\(155\) | −3.88892 | + | 3.26319i | −0.312365 | + | 0.262106i | ||||
\(156\) | −2.53955 | − | 4.80480i | −0.203327 | − | 0.384692i | ||||
\(157\) | −3.49091 | + | 19.7979i | −0.278605 | + | 1.58005i | 0.448667 | + | 0.893699i | \(0.351899\pi\) |
−0.727272 | + | 0.686349i | \(0.759212\pi\) | |||||||
\(158\) | −10.8660 | − | 9.11767i | −0.864453 | − | 0.725363i | ||||
\(159\) | −16.5708 | − | 14.9947i | −1.31415 | − | 1.18916i | ||||
\(160\) | −1.87118 | − | 0.681056i | −0.147930 | − | 0.0538422i | ||||
\(161\) | −9.55745 | −0.753232 | ||||||||
\(162\) | −8.89960 | − | 1.34058i | −0.699218 | − | 0.105326i | ||||
\(163\) | 7.11284 | 0.557121 | 0.278560 | − | 0.960419i | \(-0.410143\pi\) | ||||
0.278560 | + | 0.960419i | \(0.410143\pi\) | |||||||
\(164\) | −2.70961 | − | 0.986218i | −0.211585 | − | 0.0770107i | ||||
\(165\) | 10.7876 | + | 9.76156i | 0.839812 | + | 0.759936i | ||||
\(166\) | −2.70658 | − | 2.27109i | −0.210071 | − | 0.176270i | ||||
\(167\) | −1.10586 | + | 6.27164i | −0.0855740 | + | 0.485314i | 0.911657 | + | 0.410951i | \(0.134803\pi\) |
−0.997231 | + | 0.0743628i | \(0.976308\pi\) | |||||||
\(168\) | 0.809368 | + | 1.53131i | 0.0624441 | + | 0.118143i | ||||
\(169\) | −2.41677 | + | 2.02791i | −0.185905 | + | 0.155993i | ||||
\(170\) | 4.79477 | + | 8.30478i | 0.367742 | + | 0.636947i | ||||
\(171\) | −9.35054 | + | 6.72322i | −0.715053 | + | 0.514137i | ||||
\(172\) | 1.84593 | − | 3.19725i | 0.140751 | − | 0.243788i | ||||
\(173\) | 2.48335 | + | 14.0838i | 0.188805 | + | 1.07077i | 0.920968 | + | 0.389639i | \(0.127400\pi\) |
−0.732162 | + | 0.681130i | \(0.761489\pi\) | |||||||
\(174\) | 1.61882 | + | 11.7287i | 0.122722 | + | 0.889148i | ||||
\(175\) | 0.972422 | − | 0.353933i | 0.0735082 | − | 0.0267548i | ||||
\(176\) | 3.96382 | − | 1.44271i | 0.298784 | − | 0.108748i | ||||
\(177\) | −4.28384 | + | 3.32989i | −0.321993 | + | 0.250290i | ||||
\(178\) | −1.90970 | − | 10.8304i | −0.143138 | − | 0.811775i | ||||
\(179\) | 4.01855 | − | 6.96034i | 0.300361 | − | 0.520240i | −0.675857 | − | 0.737033i | \(-0.736226\pi\) |
0.976218 | + | 0.216793i | \(0.0695596\pi\) | |||||||
\(180\) | −4.27665 | − | 4.17095i | −0.318763 | − | 0.310884i | ||||
\(181\) | 3.12783 | + | 5.41756i | 0.232490 | + | 0.402684i | 0.958540 | − | 0.284957i | \(-0.0919794\pi\) |
−0.726050 | + | 0.687642i | \(0.758646\pi\) | |||||||
\(182\) | −2.40361 | + | 2.01687i | −0.178168 | + | 0.149501i | ||||
\(183\) | −7.47034 | − | 0.279351i | −0.552223 | − | 0.0206503i | ||||
\(184\) | 1.65963 | − | 9.41225i | 0.122350 | − | 0.693880i | ||||
\(185\) | 5.98455 | + | 5.02163i | 0.439993 | + | 0.369198i | ||||
\(186\) | −0.928755 | + | 4.31697i | −0.0680996 | + | 0.316536i | ||||
\(187\) | −19.0889 | − | 6.94778i | −1.39592 | − | 0.508072i | ||||
\(188\) | 11.4766 | 0.837019 | ||||||||
\(189\) | 0.324034 | + | 5.18604i | 0.0235700 | + | 0.377229i | ||||
\(190\) | −7.64429 | −0.554575 | ||||||||
\(191\) | 15.5697 | + | 5.66692i | 1.12659 | + | 0.410044i | 0.837052 | − | 0.547123i | \(-0.184277\pi\) |
0.289535 | + | 0.957167i | \(0.406499\pi\) | |||||||
\(192\) | −1.64860 | + | 0.531161i | −0.118977 | + | 0.0383333i | ||||
\(193\) | 1.28175 | + | 1.07552i | 0.0922623 | + | 0.0774173i | 0.687752 | − | 0.725946i | \(-0.258598\pi\) |
−0.595490 | + | 0.803363i | \(0.703042\pi\) | |||||||
\(194\) | −0.904341 | + | 5.12877i | −0.0649279 | + | 0.368224i | ||||
\(195\) | 5.75738 | − | 9.16327i | 0.412294 | − | 0.656195i | ||||
\(196\) | 0.766044 | − | 0.642788i | 0.0547175 | − | 0.0459134i | ||||
\(197\) | 9.89335 | + | 17.1358i | 0.704872 | + | 1.22087i | 0.966738 | + | 0.255770i | \(0.0823290\pi\) |
−0.261865 | + | 0.965104i | \(0.584338\pi\) | |||||||
\(198\) | 12.6193 | + | 0.945111i | 0.896813 | + | 0.0671661i | ||||
\(199\) | 3.24186 | − | 5.61507i | 0.229809 | − | 0.398041i | −0.727942 | − | 0.685639i | \(-0.759523\pi\) |
0.957751 | + | 0.287597i | \(0.0928564\pi\) | |||||||
\(200\) | 0.179696 | + | 1.01911i | 0.0127065 | + | 0.0720619i | ||||
\(201\) | 22.9718 | + | 9.34730i | 1.62031 | + | 0.659308i | ||||
\(202\) | 8.81442 | − | 3.20819i | 0.620180 | − | 0.225727i | ||||
\(203\) | 6.42350 | − | 2.33796i | 0.450841 | − | 0.164093i | ||||
\(204\) | 7.72606 | + | 3.14376i | 0.540932 | + | 0.220107i | ||||
\(205\) | −0.997062 | − | 5.65462i | −0.0696378 | − | 0.394936i | ||||
\(206\) | 1.19956 | − | 2.07770i | 0.0835772 | − | 0.144760i | ||||
\(207\) | 16.1506 | − | 23.6909i | 1.12255 | − | 1.64663i | ||||
\(208\) | −1.56885 | − | 2.71732i | −0.108780 | − | 0.188413i | ||||
\(209\) | 12.4048 | − | 10.4088i | 0.858055 | − | 0.719994i | ||||
\(210\) | −1.83491 | + | 2.92038i | −0.126621 | + | 0.201526i | ||||
\(211\) | −2.59732 | + | 14.7301i | −0.178807 | + | 1.01406i | 0.754850 | + | 0.655897i | \(0.227710\pi\) |
−0.933657 | + | 0.358168i | \(0.883402\pi\) | |||||||
\(212\) | −9.88397 | − | 8.29364i | −0.678834 | − | 0.569609i | ||||
\(213\) | −9.98913 | + | 3.21840i | −0.684444 | + | 0.220521i | ||||
\(214\) | −2.41805 | − | 0.880098i | −0.165294 | − | 0.0601622i | ||||
\(215\) | 7.35151 | 0.501369 | ||||||||
\(216\) | −5.16352 | − | 0.581435i | −0.351333 | − | 0.0395616i | ||||
\(217\) | 2.54943 | 0.173067 | ||||||||
\(218\) | −14.0431 | − | 5.11129i | −0.951122 | − | 0.346180i | ||||
\(219\) | −3.08183 | + | 14.3248i | −0.208251 | + | 0.967978i | ||||
\(220\) | 6.43447 | + | 5.39916i | 0.433812 | + | 0.364011i | ||||
\(221\) | −2.62390 | + | 14.8809i | −0.176503 | + | 1.00100i | ||||
\(222\) | 6.79053 | + | 0.253930i | 0.455751 | + | 0.0170427i | ||||
\(223\) | −0.443833 | + | 0.372420i | −0.0297213 | + | 0.0249391i | −0.657527 | − | 0.753431i | \(-0.728398\pi\) |
0.627806 | + | 0.778370i | \(0.283953\pi\) | |||||||
\(224\) | 0.500000 | + | 0.866025i | 0.0334077 | + | 0.0578638i | ||||
\(225\) | −0.765920 | + | 3.00853i | −0.0510613 | + | 0.200568i | ||||
\(226\) | 2.30455 | − | 3.99159i | 0.153296 | − | 0.265517i | ||||
\(227\) | −0.723065 | − | 4.10071i | −0.0479915 | − | 0.272173i | 0.951364 | − | 0.308069i | \(-0.0996828\pi\) |
−0.999356 | + | 0.0358955i | \(0.988572\pi\) | |||||||
\(228\) | −5.24971 | + | 4.08068i | −0.347671 | + | 0.270249i | ||||
\(229\) | −17.0564 | + | 6.20804i | −1.12712 | + | 0.410239i | −0.837246 | − | 0.546826i | \(-0.815836\pi\) |
−0.289875 | + | 0.957065i | \(0.593614\pi\) | |||||||
\(230\) | 17.8838 | − | 6.50915i | 1.17922 | − | 0.429201i | ||||
\(231\) | −0.998940 | − | 7.23753i | −0.0657254 | − | 0.476195i | ||||
\(232\) | 1.18701 | + | 6.73190i | 0.0779313 | + | 0.441971i | ||||
\(233\) | −3.42350 | + | 5.92968i | −0.224281 | + | 0.388466i | −0.956104 | − | 0.293029i | \(-0.905337\pi\) |
0.731822 | + | 0.681495i | \(0.238670\pi\) | |||||||
\(234\) | −0.937664 | − | 9.36627i | −0.0612970 | − | 0.612292i | ||||
\(235\) | 11.4266 | + | 19.7914i | 0.745386 | + | 1.29105i | ||||
\(236\) | −2.39971 | + | 2.01359i | −0.156208 | + | 0.131074i | ||||
\(237\) | −11.4805 | − | 21.7210i | −0.745741 | − | 1.41093i | ||||
\(238\) | 0.836251 | − | 4.74262i | 0.0542061 | − | 0.307418i | ||||
\(239\) | 16.7002 | + | 14.0132i | 1.08025 | + | 0.906436i | 0.995941 | − | 0.0900041i | \(-0.0286880\pi\) |
0.0843066 | + | 0.996440i | \(0.473132\pi\) | |||||||
\(240\) | −2.55739 | − | 2.31415i | −0.165079 | − | 0.149378i | ||||
\(241\) | −18.6479 | − | 6.78727i | −1.20121 | − | 0.437206i | −0.337566 | − | 0.941302i | \(-0.609604\pi\) |
−0.863648 | + | 0.504096i | \(0.831826\pi\) | |||||||
\(242\) | −6.79326 | −0.436688 | ||||||||
\(243\) | −13.4027 | − | 7.96041i | −0.859783 | − | 0.510660i | ||||
\(244\) | −4.31601 | −0.276305 | ||||||||
\(245\) | 1.87118 | + | 0.681056i | 0.119546 | + | 0.0435110i | ||||
\(246\) | −3.70328 | − | 3.35105i | −0.236113 | − | 0.213655i | ||||
\(247\) | −9.22723 | − | 7.74256i | −0.587115 | − | 0.492648i | ||||
\(248\) | −0.442705 | + | 2.51070i | −0.0281118 | + | 0.159430i | ||||
\(249\) | −2.85964 | − | 5.41041i | −0.181223 | − | 0.342871i | ||||
\(250\) | −9.20555 | + | 7.72438i | −0.582210 | + | 0.488532i | ||||
\(251\) | 9.21668 | + | 15.9638i | 0.581752 | + | 1.00762i | 0.995272 | + | 0.0971284i | \(0.0309658\pi\) |
−0.413520 | + | 0.910495i | \(0.635701\pi\) | |||||||
\(252\) | 0.298838 | + | 2.98508i | 0.0188250 | + | 0.188042i | ||||
\(253\) | −20.1576 | + | 34.9141i | −1.26730 | + | 2.19503i | ||||
\(254\) | −0.0402324 | − | 0.228169i | −0.00252441 | − | 0.0143166i | ||||
\(255\) | 2.27096 | + | 16.4536i | 0.142213 | + | 1.03036i | ||||
\(256\) | −0.939693 | + | 0.342020i | −0.0587308 | + | 0.0213763i | ||||
\(257\) | 12.3404 | − | 4.49155i | 0.769775 | − | 0.280175i | 0.0728728 | − | 0.997341i | \(-0.476783\pi\) |
0.696902 | + | 0.717166i | \(0.254561\pi\) | |||||||
\(258\) | 5.04864 | − | 3.92438i | 0.314315 | − | 0.244321i | ||||
\(259\) | −0.681266 | − | 3.86365i | −0.0423318 | − | 0.240076i | ||||
\(260\) | 3.12401 | − | 5.41094i | 0.193743 | − | 0.335572i | ||||
\(261\) | −5.05942 | + | 19.8733i | −0.313170 | + | 1.23013i | ||||
\(262\) | −1.24476 | − | 2.15599i | −0.0769015 | − | 0.133197i | ||||
\(263\) | −2.32786 | + | 1.95331i | −0.143542 | + | 0.120446i | −0.711731 | − | 0.702452i | \(-0.752089\pi\) |
0.568189 | + | 0.822898i | \(0.307644\pi\) | |||||||
\(264\) | 7.30104 | + | 0.273021i | 0.449348 | + | 0.0168033i | ||||
\(265\) | 4.46148 | − | 25.3023i | 0.274066 | − | 1.55431i | ||||
\(266\) | 2.94077 | + | 2.46760i | 0.180310 | + | 0.151298i | ||||
\(267\) | 4.00637 | − | 18.6221i | 0.245186 | − | 1.13966i | ||||
\(268\) | 13.4552 | + | 4.89729i | 0.821906 | + | 0.299149i | ||||
\(269\) | −8.06042 | −0.491453 | −0.245726 | − | 0.969339i | \(-0.579026\pi\) | ||||
−0.245726 | + | 0.969339i | \(0.579026\pi\) | |||||||
\(270\) | −4.13831 | − | 9.48335i | −0.251849 | − | 0.577138i | ||||
\(271\) | −27.8884 | −1.69410 | −0.847049 | − | 0.531514i | \(-0.821623\pi\) | ||||
−0.847049 | + | 0.531514i | \(0.821623\pi\) | |||||||
\(272\) | 4.52535 | + | 1.64709i | 0.274390 | + | 0.0998697i | ||||
\(273\) | −5.17279 | + | 1.66662i | −0.313072 | + | 0.100869i | ||||
\(274\) | −10.1768 | − | 8.53931i | −0.614800 | − | 0.515879i | ||||
\(275\) | 0.757996 | − | 4.29881i | 0.0457089 | − | 0.259228i | ||||
\(276\) | 8.80694 | − | 14.0169i | 0.530115 | − | 0.843716i | ||||
\(277\) | 16.9720 | − | 14.2412i | 1.01975 | − | 0.855670i | 0.0301517 | − | 0.999545i | \(-0.490401\pi\) |
0.989596 | + | 0.143876i | \(0.0459565\pi\) | |||||||
\(278\) | 6.94669 | + | 12.0320i | 0.416635 | + | 0.721632i | ||||
\(279\) | −4.30816 | + | 6.31952i | −0.257923 | + | 0.378340i | ||||
\(280\) | −0.995637 | + | 1.72449i | −0.0595007 | + | 0.103058i | ||||
\(281\) | −4.29854 | − | 24.3782i | −0.256429 | − | 1.45428i | −0.792378 | − | 0.610031i | \(-0.791157\pi\) |
0.535948 | − | 0.844251i | \(-0.319954\pi\) | |||||||
\(282\) | 18.4122 | + | 7.49199i | 1.09643 | + | 0.446141i | ||||
\(283\) | 2.32117 | − | 0.844837i | 0.137979 | − | 0.0502203i | −0.272108 | − | 0.962267i | \(-0.587721\pi\) |
0.410087 | + | 0.912047i | \(0.365498\pi\) | |||||||
\(284\) | −5.69376 | + | 2.07236i | −0.337863 | + | 0.122972i | ||||
\(285\) | −12.2639 | − | 4.99022i | −0.726451 | − | 0.295595i | ||||
\(286\) | 2.29831 | + | 13.0344i | 0.135902 | + | 0.770739i | ||||
\(287\) | −1.44175 | + | 2.49719i | −0.0851040 | + | 0.147405i | ||||
\(288\) | −2.99162 | − | 0.224055i | −0.176283 | − | 0.0132026i | ||||
\(289\) | −3.09586 | − | 5.36219i | −0.182109 | − | 0.315423i | ||||
\(290\) | −10.4273 | + | 8.74952i | −0.612311 | + | 0.513790i | ||||
\(291\) | −4.79893 | + | 7.63784i | −0.281318 | + | 0.447738i | ||||
\(292\) | −1.46900 | + | 8.33112i | −0.0859668 | + | 0.487542i | ||||
\(293\) | −2.84696 | − | 2.38889i | −0.166321 | − | 0.139560i | 0.555828 | − | 0.831297i | \(-0.312401\pi\) |
−0.722149 | + | 0.691737i | \(0.756846\pi\) | |||||||
\(294\) | 1.64860 | − | 0.531161i | 0.0961480 | − | 0.0309780i | ||||
\(295\) | −5.86166 | − | 2.13347i | −0.341279 | − | 0.124215i | ||||
\(296\) | 3.92326 | 0.228035 | ||||||||
\(297\) | 19.6284 | + | 9.75417i | 1.13896 | + | 0.565994i | ||||
\(298\) | −16.5437 | −0.958350 | ||||||||
\(299\) | 28.1798 | + | 10.2566i | 1.62968 | + | 0.593156i | ||||
\(300\) | −0.376987 | + | 1.75228i | −0.0217654 | + | 0.101168i | ||||
\(301\) | −2.82813 | − | 2.37308i | −0.163011 | − | 0.136782i | ||||
\(302\) | 0.633504 | − | 3.59278i | 0.0364540 | − | 0.206741i | ||||
\(303\) | 16.2355 | + | 0.607122i | 0.932704 | + | 0.0348782i | ||||
\(304\) | −2.94077 | + | 2.46760i | −0.168664 | + | 0.141526i | ||||
\(305\) | −4.29718 | − | 7.44294i | −0.246056 | − | 0.426181i | ||||
\(306\) | 10.3428 | + | 10.0872i | 0.591260 | + | 0.576647i | ||||
\(307\) | 6.65403 | − | 11.5251i | 0.379765 | − | 0.657773i | −0.611263 | − | 0.791428i | \(-0.709338\pi\) |
0.991028 | + | 0.133655i | \(0.0426714\pi\) | |||||||
\(308\) | −0.732484 | − | 4.15412i | −0.0417371 | − | 0.236703i | ||||
\(309\) | 3.28080 | − | 2.55022i | 0.186638 | − | 0.145077i | ||||
\(310\) | −4.77046 | + | 1.73631i | −0.270944 | + | 0.0986156i | ||||
\(311\) | −22.5284 | + | 8.19968i | −1.27747 | + | 0.464961i | −0.889595 | − | 0.456751i | \(-0.849013\pi\) |
−0.387875 | + | 0.921712i | \(0.626791\pi\) | |||||||
\(312\) | −0.743058 | − | 5.38361i | −0.0420674 | − | 0.304787i | ||||
\(313\) | 3.36727 | + | 19.0967i | 0.190329 | + | 1.07941i | 0.918915 | + | 0.394455i | \(0.129067\pi\) |
−0.728586 | + | 0.684954i | \(0.759822\pi\) | |||||||
\(314\) | −10.0517 | + | 17.4100i | −0.567249 | + | 0.982504i | ||||
\(315\) | −4.85021 | + | 3.48740i | −0.273279 | + | 0.196493i | ||||
\(316\) | −7.09228 | − | 12.2842i | −0.398972 | − | 0.691040i | ||||
\(317\) | 16.9321 | − | 14.2077i | 0.951003 | − | 0.797986i | −0.0284630 | − | 0.999595i | \(-0.509061\pi\) |
0.979466 | + | 0.201608i | \(0.0646168\pi\) | |||||||
\(318\) | −10.4430 | − | 19.7580i | −0.585612 | − | 1.10797i | ||||
\(319\) | 5.00707 | − | 28.3965i | 0.280342 | − | 1.58990i | ||||
\(320\) | −1.52540 | − | 1.27997i | −0.0852727 | − | 0.0715523i | ||||
\(321\) | −3.30480 | − | 2.99047i | −0.184456 | − | 0.166912i | ||||
\(322\) | −8.98106 | − | 3.26884i | −0.500495 | − | 0.182165i | ||||
\(323\) | 18.4873 | 1.02866 | ||||||||
\(324\) | −7.90438 | − | 4.30357i | −0.439132 | − | 0.239087i | ||||
\(325\) | −3.24698 | −0.180110 | ||||||||
\(326\) | 6.68388 | + | 2.43273i | 0.370186 | + | 0.134737i | ||||
\(327\) | −19.1931 | − | 17.3676i | −1.06138 | − | 0.960428i | ||||
\(328\) | −2.20889 | − | 1.85348i | −0.121966 | − | 0.102341i | ||||
\(329\) | 1.99290 | − | 11.3023i | 0.109872 | − | 0.623115i | ||||
\(330\) | 6.79837 | + | 12.8624i | 0.374238 | + | 0.708054i | ||||
\(331\) | 23.0051 | − | 19.3035i | 1.26447 | − | 1.06102i | 0.269282 | − | 0.963061i | \(-0.413214\pi\) |
0.995191 | − | 0.0979570i | \(-0.0312308\pi\) | |||||||
\(332\) | −1.76659 | − | 3.05983i | −0.0969543 | − | 0.167930i | ||||
\(333\) | 10.7284 | + | 4.84027i | 0.587914 | + | 0.265245i | ||||
\(334\) | −3.18420 | + | 5.51519i | −0.174231 | + | 0.301778i | ||||
\(335\) | 4.95114 | + | 28.0793i | 0.270510 | + | 1.53414i | ||||
\(336\) | 0.236816 | + | 1.71578i | 0.0129194 | + | 0.0936037i | ||||
\(337\) | 9.17740 | − | 3.34030i | 0.499925 | − | 0.181958i | −0.0797353 | − | 0.996816i | \(-0.525407\pi\) |
0.579660 | + | 0.814858i | \(0.303185\pi\) | |||||||
\(338\) | −2.96460 | + | 1.07903i | −0.161253 | + | 0.0586913i | ||||
\(339\) | 6.30296 | − | 4.89938i | 0.342330 | − | 0.266098i | ||||
\(340\) | 1.66520 | + | 9.44385i | 0.0903084 | + | 0.512164i | ||||
\(341\) | 5.37702 | − | 9.31327i | 0.291182 | − | 0.504342i | ||||
\(342\) | −11.0861 | + | 3.11969i | −0.599468 | + | 0.168693i | ||||
\(343\) | −0.500000 | − | 0.866025i | −0.0269975 | − | 0.0467610i | ||||
\(344\) | 2.82813 | − | 2.37308i | 0.152483 | − | 0.127948i | ||||
\(345\) | 32.9405 | + | 1.23180i | 1.77346 | + | 0.0663180i | ||||
\(346\) | −2.48335 | + | 14.0838i | −0.133506 | + | 0.757148i | ||||
\(347\) | 8.49829 | + | 7.13091i | 0.456212 | + | 0.382807i | 0.841735 | − | 0.539891i | \(-0.181535\pi\) |
−0.385523 | + | 0.922698i | \(0.625979\pi\) | |||||||
\(348\) | −2.49025 | + | 11.5750i | −0.133492 | + | 0.620486i | ||||
\(349\) | −2.83368 | − | 1.03138i | −0.151684 | − | 0.0552083i | 0.265063 | − | 0.964231i | \(-0.414607\pi\) |
−0.416746 | + | 0.909023i | \(0.636830\pi\) | |||||||
\(350\) | 1.03483 | 0.0553140 | ||||||||
\(351\) | 4.61002 | − | 15.6386i | 0.246065 | − | 0.834728i | ||||
\(352\) | 4.21821 | 0.224831 | ||||||||
\(353\) | −1.42784 | − | 0.519691i | −0.0759963 | − | 0.0276604i | 0.303742 | − | 0.952754i | \(-0.401764\pi\) |
−0.379739 | + | 0.925094i | \(0.623986\pi\) | |||||||
\(354\) | −5.16438 | + | 1.66391i | −0.274484 | + | 0.0884360i | ||||
\(355\) | −9.24269 | − | 7.75554i | −0.490551 | − | 0.411621i | ||||
\(356\) | 1.90970 | − | 10.8304i | 0.101214 | − | 0.574011i | ||||
\(357\) | 4.43761 | − | 7.06277i | 0.234863 | − | 0.373802i | ||||
\(358\) | 6.15678 | − | 5.16615i | 0.325396 | − | 0.273040i | ||||
\(359\) | −16.3279 | − | 28.2808i | −0.861756 | − | 1.49261i | −0.870232 | − | 0.492642i | \(-0.836031\pi\) |
0.00847612 | − | 0.999964i | \(-0.497302\pi\) | |||||||
\(360\) | −2.59219 | − | 5.38211i | −0.136620 | − | 0.283662i | ||||
\(361\) | 2.13143 | − | 3.69175i | 0.112181 | − | 0.194303i | ||||
\(362\) | 1.08628 | + | 6.16063i | 0.0570938 | + | 0.323795i | ||||
\(363\) | −10.8986 | − | 4.43467i | −0.572027 | − | 0.232760i | ||||
\(364\) | −2.94847 | + | 1.07316i | −0.154542 | + | 0.0562486i | ||||
\(365\) | −15.8296 | + | 5.76149i | −0.828557 | + | 0.301570i | ||||
\(366\) | −6.92428 | − | 2.81751i | −0.361938 | − | 0.147274i | ||||
\(367\) | −3.74664 | − | 21.2483i | −0.195573 | − | 1.10915i | −0.911600 | − | 0.411078i | \(-0.865152\pi\) |
0.716027 | − | 0.698072i | \(-0.245959\pi\) | |||||||
\(368\) | 4.77872 | − | 8.27699i | 0.249108 | − | 0.431468i | ||||
\(369\) | −3.75367 | − | 7.79368i | −0.195408 | − | 0.405723i | ||||
\(370\) | 3.90614 | + | 6.76563i | 0.203070 | + | 0.351728i | ||||
\(371\) | −9.88397 | + | 8.29364i | −0.513150 | + | 0.430584i | ||||
\(372\) | −2.34924 | + | 3.73897i | −0.121802 | + | 0.193857i | ||||
\(373\) | 0.115680 | − | 0.656051i | 0.00598966 | − | 0.0339690i | −0.981666 | − | 0.190607i | \(-0.938954\pi\) |
0.987656 | + | 0.156638i | \(0.0500655\pi\) | |||||||
\(374\) | −15.5614 | − | 13.0576i | −0.804660 | − | 0.675190i | ||||
\(375\) | −19.8112 | + | 6.38297i | −1.02304 | + | 0.329615i | ||||
\(376\) | 10.7845 | + | 3.92524i | 0.556168 | + | 0.202429i | ||||
\(377\) | −21.4485 | −1.10465 | ||||||||
\(378\) | −1.46924 | + | 4.98411i | −0.0755694 | + | 0.256355i | ||||
\(379\) | −15.2472 | −0.783194 | −0.391597 | − | 0.920137i | \(-0.628077\pi\) | ||||
−0.391597 | + | 0.920137i | \(0.628077\pi\) | |||||||
\(380\) | −7.18329 | − | 2.61450i | −0.368495 | − | 0.134121i | ||||
\(381\) | 0.0844041 | − | 0.392321i | 0.00432415 | − | 0.0200992i | ||||
\(382\) | 12.6926 | + | 10.6503i | 0.649408 | + | 0.544918i | ||||
\(383\) | 4.37705 | − | 24.8235i | 0.223657 | − | 1.26842i | −0.641579 | − | 0.767057i | \(-0.721720\pi\) |
0.865236 | − | 0.501365i | \(-0.167169\pi\) | |||||||
\(384\) | −1.73084 | − | 0.0647244i | −0.0883266 | − | 0.00330295i | ||||
\(385\) | 6.43447 | − | 5.39916i | 0.327931 | − | 0.275167i | ||||
\(386\) | 0.836602 | + | 1.44904i | 0.0425819 | + | 0.0737541i | ||||
\(387\) | 10.6615 | − | 3.00020i | 0.541954 | − | 0.152509i | ||||
\(388\) | −2.60395 | + | 4.51017i | −0.132195 | + | 0.228969i | ||||
\(389\) | 0.349868 | + | 1.98420i | 0.0177390 | + | 0.100603i | 0.992392 | − | 0.123120i | \(-0.0392900\pi\) |
−0.974653 | + | 0.223723i | \(0.928179\pi\) | |||||||
\(390\) | 8.54419 | − | 6.64152i | 0.432652 | − | 0.336306i | ||||
\(391\) | −43.2508 | + | 15.7420i | −2.18729 | + | 0.796108i | ||||
\(392\) | 0.939693 | − | 0.342020i | 0.0474616 | − | 0.0172746i | ||||
\(393\) | −0.589559 | − | 4.27148i | −0.0297393 | − | 0.215468i | ||||
\(394\) | 3.43593 | + | 19.4861i | 0.173099 | + | 0.981696i | ||||
\(395\) | 14.1227 | − | 24.4612i | 0.710589 | − | 1.23078i | ||||
\(396\) | 11.5350 | + | 5.20416i | 0.579655 | + | 0.261519i | ||||
\(397\) | −4.45763 | − | 7.72084i | −0.223722 | − | 0.387498i | 0.732213 | − | 0.681075i | \(-0.238487\pi\) |
−0.955935 | + | 0.293578i | \(0.905154\pi\) | |||||||
\(398\) | 4.96682 | − | 4.16765i | 0.248964 | − | 0.208906i | ||||
\(399\) | 3.10708 | + | 5.87856i | 0.155548 | + | 0.294296i | ||||
\(400\) | −0.179696 | + | 1.01911i | −0.00898482 | + | 0.0509554i | ||||
\(401\) | 17.1219 | + | 14.3670i | 0.855029 | + | 0.717454i | 0.960891 | − | 0.276926i | \(-0.0893158\pi\) |
−0.105862 | + | 0.994381i | \(0.533760\pi\) | |||||||
\(402\) | 18.3895 | + | 16.6404i | 0.917184 | + | 0.829949i | ||||
\(403\) | −7.51693 | − | 2.73594i | −0.374445 | − | 0.136287i | ||||
\(404\) | 9.38011 | 0.466678 | ||||||||
\(405\) | −0.448412 | − | 17.9159i | −0.0222818 | − | 0.890246i | ||||
\(406\) | 6.83575 | 0.339252 | ||||||||
\(407\) | −15.5511 | − | 5.66013i | −0.770838 | − | 0.280562i | ||||
\(408\) | 6.18489 | + | 5.59663i | 0.306198 | + | 0.277075i | ||||
\(409\) | −27.7545 | − | 23.2888i | −1.37237 | − | 1.15156i | −0.971940 | − | 0.235230i | \(-0.924416\pi\) |
−0.400432 | − | 0.916327i | \(-0.631140\pi\) | |||||||
\(410\) | 0.997062 | − | 5.65462i | 0.0492414 | − | 0.279262i | ||||
\(411\) | −10.7523 | − | 20.3432i | −0.530372 | − | 1.00346i | ||||
\(412\) | 1.83783 | − | 1.54212i | 0.0905433 | − | 0.0759749i | ||||
\(413\) | 1.56630 | + | 2.71291i | 0.0770724 | + | 0.133493i | ||||
\(414\) | 23.2794 | − | 16.7384i | 1.14412 | − | 0.822645i | ||||
\(415\) | 3.51777 | − | 6.09295i | 0.172680 | − | 0.299091i | ||||
\(416\) | −0.544855 | − | 3.09003i | −0.0267137 | − | 0.151501i | ||||
\(417\) | 3.29018 | + | 23.8380i | 0.161121 | + | 1.16735i | ||||
\(418\) | 15.2167 | − | 5.53842i | 0.744272 | − | 0.270893i | ||||
\(419\) | 8.99414 | − | 3.27360i | 0.439392 | − | 0.159926i | −0.112845 | − | 0.993613i | \(-0.535996\pi\) |
0.552238 | + | 0.833687i | \(0.313774\pi\) | |||||||
\(420\) | −2.72308 | + | 2.11669i | −0.132873 | + | 0.103284i | ||||
\(421\) | −0.604337 | − | 3.42737i | −0.0294536 | − | 0.167040i | 0.966533 | − | 0.256542i | \(-0.0825833\pi\) |
−0.995987 | + | 0.0895027i | \(0.971472\pi\) | |||||||
\(422\) | −7.47869 | + | 12.9535i | −0.364057 | + | 0.630565i | ||||
\(423\) | 24.6483 | + | 24.0391i | 1.19844 | + | 1.16882i | ||||
\(424\) | −6.45130 | − | 11.1740i | −0.313303 | − | 0.542657i | ||||
\(425\) | 3.81759 | − | 3.20334i | 0.185180 | − | 0.155385i | ||||
\(426\) | −10.4875 | − | 0.392176i | −0.508120 | − | 0.0190010i | ||||
\(427\) | −0.749468 | + | 4.25044i | −0.0362693 | + | 0.205693i | ||||
\(428\) | −1.97121 | − | 1.65404i | −0.0952821 | − | 0.0799512i | ||||
\(429\) | −4.82165 | + | 22.4117i | −0.232792 | + | 1.08205i | ||||
\(430\) | 6.90816 | + | 2.51436i | 0.333141 | + | 0.121253i | ||||
\(431\) | −10.6786 | −0.514369 | −0.257185 | − | 0.966362i | \(-0.582795\pi\) | ||||
−0.257185 | + | 0.966362i | \(0.582795\pi\) | |||||||
\(432\) | −4.65326 | − | 2.31240i | −0.223880 | − | 0.111255i | ||||
\(433\) | 20.8128 | 1.00020 | 0.500100 | − | 0.865967i | \(-0.333296\pi\) | ||||
0.500100 | + | 0.865967i | \(0.333296\pi\) | |||||||
\(434\) | 2.39568 | + | 0.871958i | 0.114997 | + | 0.0418553i | ||||
\(435\) | −22.4404 | + | 7.23008i | −1.07594 | + | 0.346656i | ||||
\(436\) | −11.4481 | − | 9.60608i | −0.548263 | − | 0.460048i | ||||
\(437\) | 6.37116 | − | 36.1327i | 0.304774 | − | 1.72846i | ||||
\(438\) | −7.79534 | + | 12.4068i | −0.372476 | + | 0.592821i | ||||
\(439\) | 8.38159 | − | 7.03299i | 0.400032 | − | 0.335666i | −0.420474 | − | 0.907304i | \(-0.638136\pi\) |
0.820506 | + | 0.571638i | \(0.193692\pi\) | |||||||
\(440\) | 4.19980 | + | 7.27427i | 0.200218 | + | 0.346787i | ||||
\(441\) | 2.99162 | + | 0.224055i | 0.142458 | + | 0.0106693i | ||||
\(442\) | −7.55522 | + | 13.0860i | −0.359365 | + | 0.622439i | ||||
\(443\) | −2.82949 | − | 16.0469i | −0.134433 | − | 0.762409i | −0.975253 | − | 0.221093i | \(-0.929037\pi\) |
0.840819 | − | 0.541316i | \(-0.182074\pi\) | |||||||
\(444\) | 6.29416 | + | 2.56111i | 0.298708 | + | 0.121545i | ||||
\(445\) | 20.5784 | − | 7.48991i | 0.975508 | − | 0.355056i | ||||
\(446\) | −0.544442 | + | 0.198161i | −0.0257801 | + | 0.00938318i | ||||
\(447\) | −26.5414 | − | 10.7998i | −1.25536 | − | 0.510812i | ||||
\(448\) | 0.173648 | + | 0.984808i | 0.00820411 | + | 0.0465278i | ||||
\(449\) | 8.37532 | − | 14.5065i | 0.395256 | − | 0.684603i | −0.597878 | − | 0.801587i | \(-0.703989\pi\) |
0.993134 | + | 0.116984i | \(0.0373226\pi\) | |||||||
\(450\) | −1.74871 | + | 2.56513i | −0.0824348 | + | 0.120921i | ||||
\(451\) | 6.08161 | + | 10.5337i | 0.286372 | + | 0.496011i | ||||
\(452\) | 3.53077 | − | 2.96267i | 0.166073 | − | 0.139352i | ||||
\(453\) | 3.36172 | − | 5.35042i | 0.157947 | − | 0.251385i | ||||
\(454\) | 0.723065 | − | 4.10071i | 0.0339351 | − | 0.192456i | ||||
\(455\) | −4.78625 | − | 4.01614i | −0.224383 | − | 0.188280i | ||||
\(456\) | −6.32879 | + | 2.03907i | −0.296373 | + | 0.0954884i | ||||
\(457\) | −2.65348 | − | 0.965787i | −0.124125 | − | 0.0451776i | 0.279211 | − | 0.960230i | \(-0.409927\pi\) |
−0.403336 | + | 0.915052i | \(0.632149\pi\) | |||||||
\(458\) | −18.1511 | −0.848144 | ||||||||
\(459\) | 10.0083 | + | 22.9349i | 0.467145 | + | 1.07051i | ||||
\(460\) | 19.0315 | 0.887348 | ||||||||
\(461\) | −26.7219 | − | 9.72597i | −1.24456 | − | 0.452984i | −0.366001 | − | 0.930614i | \(-0.619273\pi\) |
−0.878561 | + | 0.477631i | \(0.841496\pi\) | |||||||
\(462\) | 1.53669 | − | 7.14272i | 0.0714931 | − | 0.332309i | ||||
\(463\) | 22.9982 | + | 19.2978i | 1.06882 | + | 0.896846i | 0.994945 | − | 0.100422i | \(-0.0320192\pi\) |
0.0738742 | + | 0.997268i | \(0.476464\pi\) | |||||||
\(464\) | −1.18701 | + | 6.73190i | −0.0551058 | + | 0.312520i | ||||
\(465\) | −8.78682 | − | 0.328581i | −0.407479 | − | 0.0152376i | ||||
\(466\) | −5.24511 | + | 4.40117i | −0.242975 | + | 0.203880i | ||||
\(467\) | 19.3297 | + | 33.4801i | 0.894473 | + | 1.54927i | 0.834455 | + | 0.551076i | \(0.185783\pi\) |
0.0600181 | + | 0.998197i | \(0.480884\pi\) | |||||||
\(468\) | 2.32234 | − | 9.12211i | 0.107350 | − | 0.421670i | ||||
\(469\) | 7.15935 | − | 12.4004i | 0.330588 | − | 0.572596i | ||||
\(470\) | 3.96840 | + | 22.5059i | 0.183049 | + | 1.03812i | ||||
\(471\) | −27.4915 | + | 21.3695i | −1.26674 | + | 0.984655i | ||||
\(472\) | −2.94367 | + | 1.07141i | −0.135494 | + | 0.0493156i | ||||
\(473\) | −14.6339 | + | 5.32629i | −0.672866 | + | 0.244903i | ||||
\(474\) | −3.35914 | − | 24.3377i | −0.154290 | − | 1.11787i | ||||
\(475\) | 0.689836 | + | 3.91225i | 0.0316518 | + | 0.179507i | ||||
\(476\) | 2.40789 | − | 4.17059i | 0.110365 | − | 0.191159i | ||||
\(477\) | −3.85579 | − | 38.5153i | −0.176545 | − | 1.76349i | ||||
\(478\) | 10.9003 | + | 18.8799i | 0.498568 | + | 0.863545i | ||||
\(479\) | −31.1099 | + | 26.1043i | −1.42145 | + | 1.19274i | −0.470892 | + | 0.882191i | \(0.656068\pi\) |
−0.950558 | + | 0.310547i | \(0.899488\pi\) | |||||||
\(480\) | −1.61167 | − | 3.04927i | −0.0735624 | − | 0.139179i | ||||
\(481\) | −2.13761 | + | 12.1230i | −0.0974664 | + | 0.552760i | ||||
\(482\) | −15.2019 | − | 12.7559i | −0.692426 | − | 0.581015i | ||||
\(483\) | −12.2746 | − | 11.1071i | −0.558514 | − | 0.505392i | ||||
\(484\) | −6.38358 | − | 2.32343i | −0.290163 | − | 0.105611i | ||||
\(485\) | −10.3703 | −0.470893 | ||||||||
\(486\) | −9.87178 | − | 12.0643i | −0.447793 | − | 0.547249i | ||||
\(487\) | 14.9795 | 0.678786 | 0.339393 | − | 0.940645i | \(-0.389778\pi\) | ||||
0.339393 | + | 0.940645i | \(0.389778\pi\) | |||||||
\(488\) | −4.05573 | − | 1.47616i | −0.183594 | − | 0.0668228i | ||||
\(489\) | 9.13500 | + | 8.26615i | 0.413099 | + | 0.373808i | ||||
\(490\) | 1.52540 | + | 1.27997i | 0.0689107 | + | 0.0578230i | ||||
\(491\) | −5.56364 | + | 31.5530i | −0.251083 | + | 1.42396i | 0.554846 | + | 0.831953i | \(0.312777\pi\) |
−0.805929 | + | 0.592012i | \(0.798334\pi\) | |||||||
\(492\) | −2.33382 | − | 4.41556i | −0.105217 | − | 0.199069i | ||||
\(493\) | 25.2178 | − | 21.1602i | 1.13575 | − | 0.953008i | ||||
\(494\) | −6.02265 | − | 10.4315i | −0.270972 | − | 0.469337i | ||||
\(495\) | 2.51012 | + | 25.0735i | 0.112822 | + | 1.12697i | ||||
\(496\) | −1.27472 | + | 2.20787i | −0.0572365 | + | 0.0991365i | ||||
\(497\) | 1.05216 | + | 5.96712i | 0.0471960 | + | 0.267662i | ||||
\(498\) | −0.836715 | − | 6.06218i | −0.0374941 | − | 0.271653i | ||||
\(499\) | 25.7673 | − | 9.37852i | 1.15350 | − | 0.419840i | 0.306730 | − | 0.951797i | \(-0.400765\pi\) |
0.846772 | + | 0.531956i | \(0.178543\pi\) | |||||||
\(500\) | −11.2923 | + | 4.11005i | −0.505006 | + | 0.183807i | ||||
\(501\) | −8.70881 | + | 6.76948i | −0.389081 | + | 0.302438i | ||||
\(502\) | 3.20092 | + | 18.1533i | 0.142864 | + | 0.810222i | ||||
\(503\) | 4.22896 | − | 7.32477i | 0.188560 | − | 0.326595i | −0.756210 | − | 0.654328i | \(-0.772951\pi\) |
0.944770 | + | 0.327733i | \(0.106285\pi\) | |||||||
\(504\) | −0.740141 | + | 2.90727i | −0.0329685 | + | 0.129500i | ||||
\(505\) | 9.33918 | + | 16.1759i | 0.415588 | + | 0.719820i | ||||
\(506\) | −30.8833 | + | 25.9142i | −1.37293 | + | 1.15203i | ||||
\(507\) | −5.46057 | − | 0.204197i | −0.242512 | − | 0.00906869i | ||||
\(508\) | 0.0402324 | − | 0.228169i | 0.00178503 | − | 0.0101234i | ||||
\(509\) | 24.2929 | + | 20.3842i | 1.07676 | + | 0.903512i | 0.995648 | − | 0.0931925i | \(-0.0297072\pi\) |
0.0811158 | + | 0.996705i | \(0.474152\pi\) | |||||||
\(510\) | −3.49345 | + | 16.2380i | −0.154693 | + | 0.719031i | ||||
\(511\) | 7.94946 | + | 2.89337i | 0.351664 | + | 0.127995i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | −19.8222 | − | 2.23207i | −0.875172 | − | 0.0985482i | ||||
\(514\) | 13.1324 | 0.579246 | ||||||||
\(515\) | 4.48919 | + | 1.63393i | 0.197817 | + | 0.0719996i | ||||
\(516\) | 6.08639 | − | 1.96098i | 0.267938 | − | 0.0863271i | ||||
\(517\) | −37.0848 | − | 31.1179i | −1.63099 | − | 1.36856i | ||||
\(518\) | 0.681266 | − | 3.86365i | 0.0299331 | − | 0.169759i | ||||
\(519\) | −13.1780 | + | 20.9738i | −0.578451 | + | 0.920646i | ||||
\(520\) | 4.78625 | − | 4.01614i | 0.209891 | − | 0.176120i | ||||
\(521\) | 2.95473 | + | 5.11774i | 0.129449 | + | 0.224212i | 0.923463 | − | 0.383687i | \(-0.125346\pi\) |
−0.794014 | + | 0.607899i | \(0.792012\pi\) | |||||||
\(522\) | −11.5514 | + | 16.9444i | −0.505590 | + | 0.741636i | ||||
\(523\) | 20.3093 | − | 35.1768i | 0.888065 | − | 1.53817i | 0.0459053 | − | 0.998946i | \(-0.485383\pi\) |
0.842160 | − | 0.539228i | \(-0.181284\pi\) | |||||||
\(524\) | −0.432300 | − | 2.45170i | −0.0188851 | − | 0.107103i | ||||
\(525\) | 1.66020 | + | 0.675541i | 0.0724571 | + | 0.0294830i | ||||
\(526\) | −2.85555 | + | 1.03933i | −0.124508 | + | 0.0453172i | ||||
\(527\) | 11.5371 | − | 4.19916i | 0.502563 | − | 0.182918i | ||||
\(528\) | 6.76736 | + | 2.75366i | 0.294512 | + | 0.119838i | ||||
\(529\) | 11.8680 | + | 67.3065i | 0.515998 | + | 2.92637i | ||||
\(530\) | 12.8463 | − | 22.2505i | 0.558008 | − | 0.966498i | ||||
\(531\) | −9.37153 | − | 0.701874i | −0.406690 | − | 0.0304587i | ||||
\(532\) | 1.91945 | + | 3.32458i | 0.0832186 | + | 0.144139i | ||||
\(533\) | 6.93084 | − | 5.81567i | 0.300208 | − | 0.251904i | ||||
\(534\) | 10.1339 | − | 16.1288i | 0.438537 | − | 0.697963i | ||||
\(535\) | 0.889775 | − | 5.04617i | 0.0384683 | − | 0.218165i | ||||
\(536\) | 10.9688 | + | 9.20389i | 0.473779 | + | 0.397547i | ||||
\(537\) | 13.2499 | − | 4.26900i | 0.571777 | − | 0.184221i | ||||
\(538\) | −7.57432 | − | 2.75683i | −0.326552 | − | 0.118855i | ||||
\(539\) | −4.21821 | −0.181691 | ||||||||
\(540\) | −0.645241 | − | 10.3268i | −0.0277667 | − | 0.444396i | ||||
\(541\) | 23.5328 | 1.01175 | 0.505876 | − | 0.862606i | \(-0.331169\pi\) | ||||
0.505876 | + | 0.862606i | \(0.331169\pi\) | |||||||
\(542\) | −26.2065 | − | 9.53839i | −1.12567 | − | 0.409709i | ||||
\(543\) | −2.27893 | + | 10.5928i | −0.0977982 | + | 0.454579i | ||||
\(544\) | 3.68910 | + | 3.09552i | 0.158169 | + | 0.132719i | ||||
\(545\) | 5.16749 | − | 29.3063i | 0.221351 | − | 1.25534i | ||||
\(546\) | −5.43085 | − | 0.203085i | −0.232419 | − | 0.00869126i | ||||
\(547\) | 28.2501 | − | 23.7046i | 1.20789 | − | 1.01354i | 0.208517 | − | 0.978019i | \(-0.433136\pi\) |
0.999369 | − | 0.0355184i | \(-0.0113082\pi\) | |||||||
\(548\) | −6.64241 | − | 11.5050i | −0.283750 | − | 0.491469i | ||||
\(549\) | −9.26948 | − | 9.04038i | −0.395612 | − | 0.385834i | ||||
\(550\) | 2.18256 | − | 3.78031i | 0.0930648 | − | 0.161193i | ||||
\(551\) | 4.55683 | + | 25.8431i | 0.194127 | + | 1.10095i | ||||
\(552\) | 13.0699 | − | 10.1594i | 0.556290 | − | 0.432412i | ||||
\(553\) | −13.3291 | + | 4.85141i | −0.566813 | + | 0.206303i | ||||
\(554\) | 20.8192 | − | 7.57758i | 0.884524 | − | 0.321940i | ||||
\(555\) | 1.85007 | + | 13.4042i | 0.0785313 | + | 0.568976i | ||||
\(556\) | 2.41256 | + | 13.6823i | 0.102315 | + | 0.580259i | ||||
\(557\) | −0.403316 | + | 0.698565i | −0.0170891 | + | 0.0295991i | −0.874443 | − | 0.485127i | \(-0.838773\pi\) |
0.857354 | + | 0.514727i | \(0.172107\pi\) | |||||||
\(558\) | −6.20975 | + | 4.46493i | −0.262879 | + | 0.189015i | ||||
\(559\) | 5.79197 | + | 10.0320i | 0.244974 | + | 0.424308i | ||||
\(560\) | −1.52540 | + | 1.27997i | −0.0644601 | + | 0.0540884i | ||||
\(561\) | −16.4414 | − | 31.1070i | −0.694159 | − | 1.31334i | ||||
\(562\) | 4.29854 | − | 24.3782i | 0.181323 | − | 1.02833i | ||||
\(563\) | 9.77502 | + | 8.20221i | 0.411968 | + | 0.345682i | 0.825098 | − | 0.564990i | \(-0.191120\pi\) |
−0.413130 | + | 0.910672i | \(0.635564\pi\) | |||||||
\(564\) | 14.7394 | + | 13.3375i | 0.620641 | + | 0.561610i | ||||
\(565\) | 8.62447 | + | 3.13905i | 0.362834 | + | 0.132061i | ||||
\(566\) | 2.47014 | 0.103828 | ||||||||
\(567\) | −5.61077 | + | 7.03699i | −0.235630 | + | 0.295526i | ||||
\(568\) | −6.05918 | −0.254237 | ||||||||
\(569\) | 32.8022 | + | 11.9390i | 1.37514 | + | 0.500509i | 0.920701 | − | 0.390269i | \(-0.127618\pi\) |
0.454437 | + | 0.890779i | \(0.349840\pi\) | |||||||
\(570\) | −9.81754 | − | 8.88378i | −0.411212 | − | 0.372100i | ||||
\(571\) | 21.5165 | + | 18.0545i | 0.900437 | + | 0.755557i | 0.970276 | − | 0.242002i | \(-0.0778039\pi\) |
−0.0698384 | + | 0.997558i | \(0.522248\pi\) | |||||||
\(572\) | −2.29831 | + | 13.0344i | −0.0960972 | + | 0.544995i | ||||
\(573\) | 13.4104 | + | 25.3723i | 0.560227 | + | 1.05994i | ||||
\(574\) | −2.20889 | + | 1.85348i | −0.0921975 | + | 0.0773629i | ||||
\(575\) | −4.94517 | − | 8.56528i | −0.206228 | − | 0.357197i | ||||
\(576\) | −2.73457 | − | 1.23374i | −0.113941 | − | 0.0514057i | ||||
\(577\) | −8.77144 | + | 15.1926i | −0.365160 | + | 0.632475i | −0.988802 | − | 0.149235i | \(-0.952319\pi\) |
0.623642 | + | 0.781710i | \(0.285652\pi\) | |||||||
\(578\) | −1.07518 | − | 6.09766i | −0.0447216 | − | 0.253629i | ||||
\(579\) | 0.396242 | + | 2.87086i | 0.0164673 | + | 0.119309i | ||||
\(580\) | −12.7909 | + | 4.65552i | −0.531115 | + | 0.193310i | ||||
\(581\) | −3.32011 | + | 1.20842i | −0.137741 | + | 0.0501337i | ||||
\(582\) | −7.12182 | + | 5.53589i | −0.295209 | + | 0.229470i | ||||
\(583\) | 9.45095 | + | 53.5990i | 0.391418 | + | 2.21984i | ||||
\(584\) | −4.22982 | + | 7.32626i | −0.175031 | + | 0.303163i | ||||
\(585\) | 18.0432 | − | 5.07746i | 0.745996 | − | 0.209927i | ||||
\(586\) | −1.85822 | − | 3.21854i | −0.0767625 | − | 0.132957i | ||||
\(587\) | 4.52083 | − | 3.79343i | 0.186595 | − | 0.156572i | −0.544705 | − | 0.838628i | \(-0.683358\pi\) |
0.731300 | + | 0.682056i | \(0.238914\pi\) | |||||||
\(588\) | 1.73084 | + | 0.0647244i | 0.0713787 | + | 0.00266919i | ||||
\(589\) | −1.69950 | + | 9.63833i | −0.0700266 | + | 0.397140i | ||||
\(590\) | −4.77847 | − | 4.00961i | −0.196727 | − | 0.165073i | ||||
\(591\) | −7.20827 | + | 33.5050i | −0.296508 | + | 1.37821i | ||||
\(592\) | 3.68665 | + | 1.34183i | 0.151521 | + | 0.0551490i | ||||
\(593\) | −44.9986 | −1.84787 | −0.923935 | − | 0.382549i | \(-0.875046\pi\) | ||||
−0.923935 | + | 0.382549i | \(0.875046\pi\) | |||||||
\(594\) | 15.1085 | + | 15.8792i | 0.619911 | + | 0.651533i | ||||
\(595\) | 9.58953 | 0.393132 | ||||||||
\(596\) | −15.5460 | − | 5.65827i | −0.636788 | − | 0.231772i | ||||
\(597\) | 10.6890 | − | 3.44390i | 0.437473 | − | 0.140950i | ||||
\(598\) | 22.9724 | + | 19.2762i | 0.939412 | + | 0.788260i | ||||
\(599\) | −0.678064 | + | 3.84549i | −0.0277049 | + | 0.157122i | −0.995522 | − | 0.0945335i | \(-0.969864\pi\) |
0.967817 | + | 0.251656i | \(0.0809751\pi\) | |||||||
\(600\) | −0.953569 | + | 1.51767i | −0.0389293 | + | 0.0619587i | ||||
\(601\) | −8.71747 | + | 7.31483i | −0.355593 | + | 0.298378i | −0.803031 | − | 0.595937i | \(-0.796781\pi\) |
0.447438 | + | 0.894315i | \(0.352336\pi\) | |||||||
\(602\) | −1.84593 | − | 3.19725i | −0.0752346 | − | 0.130310i | ||||
\(603\) | 18.6397 | + | 38.7013i | 0.759068 | + | 1.57604i | ||||
\(604\) | 1.82410 | − | 3.15944i | 0.0742216 | − | 0.128556i | ||||
\(605\) | −2.34898 | − | 13.3217i | −0.0954997 | − | 0.541606i | ||||
\(606\) | 15.0487 | + | 6.12337i | 0.611312 | + | 0.248745i | ||||
\(607\) | −23.7800 | + | 8.65520i | −0.965199 | + | 0.351304i | −0.776069 | − | 0.630648i | \(-0.782789\pi\) |
−0.189130 | + | 0.981952i | \(0.560567\pi\) | |||||||
\(608\) | −3.60738 | + | 1.31298i | −0.146299 | + | 0.0532484i | ||||
\(609\) | 10.9667 | + | 4.46240i | 0.444395 | + | 0.180826i | ||||
\(610\) | −1.49240 | − | 8.46380i | −0.0604253 | − | 0.342689i | ||||
\(611\) | −18.0051 | + | 31.1857i | −0.728408 | + | 1.26164i | ||||
\(612\) | 6.26905 | + | 13.0163i | 0.253411 | + | 0.526153i | ||||
\(613\) | −4.60737 | − | 7.98020i | −0.186090 | − | 0.322317i | 0.757853 | − | 0.652425i | \(-0.226248\pi\) |
−0.943943 | + | 0.330108i | \(0.892915\pi\) | |||||||
\(614\) | 10.1946 | − | 8.55425i | 0.411419 | − | 0.345222i | ||||
\(615\) | 5.29096 | − | 8.42094i | 0.213352 | − | 0.339565i | ||||
\(616\) | 0.732484 | − | 4.15412i | 0.0295126 | − | 0.167374i | ||||
\(617\) | 1.17930 | + | 0.989546i | 0.0474767 | + | 0.0398376i | 0.666217 | − | 0.745758i | \(-0.267912\pi\) |
−0.618741 | + | 0.785595i | \(0.712357\pi\) | |||||||
\(618\) | 3.95517 | − | 1.27432i | 0.159100 | − | 0.0512606i | ||||
\(619\) | −35.2378 | − | 12.8255i | −1.41633 | − | 0.515501i | −0.483347 | − | 0.875429i | \(-0.660579\pi\) |
−0.932980 | + | 0.359928i | \(0.882801\pi\) | |||||||
\(620\) | −5.07662 | −0.203882 | ||||||||
\(621\) | 48.2745 | − | 11.6568i | 1.93719 | − | 0.467772i | ||||
\(622\) | −23.9743 | −0.961280 | ||||||||
\(623\) | −10.3343 | − | 3.76137i | −0.414034 | − | 0.150696i | ||||
\(624\) | 1.14306 | − | 5.31308i | 0.0457589 | − | 0.212693i | ||||
\(625\) | −14.3671 | − | 12.0555i | −0.574686 | − | 0.482219i | ||||
\(626\) | −3.36727 | + | 19.0967i | −0.134583 | + | 0.763258i | ||||
\(627\) | 28.0280 | + | 1.04810i | 1.11933 | + | 0.0418570i | ||||
\(628\) | −15.4001 | + | 12.9222i | −0.614530 | + | 0.515652i | ||||
\(629\) | −9.44676 | − | 16.3623i | −0.376667 | − | 0.652407i | ||||
\(630\) | −5.75047 | + | 1.61821i | −0.229104 | + | 0.0644711i | ||||
\(631\) | 1.93172 | − | 3.34585i | 0.0769008 | − | 0.133196i | −0.825011 | − | 0.565117i | \(-0.808831\pi\) |
0.901911 | + | 0.431921i | \(0.142164\pi\) | |||||||
\(632\) | −2.46312 | − | 13.9691i | −0.0979778 | − | 0.555660i | ||||
\(633\) | −20.4543 | + | 15.8994i | −0.812985 | + | 0.631945i | ||||
\(634\) | 20.7703 | − | 7.55978i | 0.824895 | − | 0.300237i | ||||
\(635\) | 0.433533 | − | 0.157793i | 0.0172043 | − | 0.00626184i | ||||
\(636\) | −3.05555 | − | 22.1381i | −0.121160 | − | 0.877833i | ||||
\(637\) | 0.544855 | + | 3.09003i | 0.0215879 | + | 0.122431i | ||||
\(638\) | 14.4173 | − | 24.9715i | 0.570786 | − | 0.988631i | ||||
\(639\) | −16.5693 | − | 7.47543i | −0.655470 | − | 0.295724i | ||||
\(640\) | −0.995637 | − | 1.72449i | −0.0393560 | − | 0.0681666i | ||||
\(641\) | −2.79632 | + | 2.34639i | −0.110448 | + | 0.0926767i | −0.696339 | − | 0.717713i | \(-0.745189\pi\) |
0.585891 | + | 0.810390i | \(0.300745\pi\) | |||||||
\(642\) | −2.08269 | − | 3.94043i | −0.0821973 | − | 0.155516i | ||||
\(643\) | −6.56477 | + | 37.2307i | −0.258889 | + | 1.46823i | 0.526999 | + | 0.849866i | \(0.323317\pi\) |
−0.785889 | + | 0.618368i | \(0.787794\pi\) | |||||||
\(644\) | −7.32143 | − | 6.14341i | −0.288505 | − | 0.242084i | ||||
\(645\) | 9.44152 | + | 8.54352i | 0.371760 | + | 0.336401i | ||||
\(646\) | 17.3724 | + | 6.32302i | 0.683506 | + | 0.248776i | ||||
\(647\) | 39.0162 | 1.53388 | 0.766942 | − | 0.641716i | \(-0.221777\pi\) | ||||
0.766942 | + | 0.641716i | \(0.221777\pi\) | |||||||
\(648\) | −5.95578 | − | 6.74749i | −0.233965 | − | 0.265067i | ||||
\(649\) | 13.2139 | 0.518692 | ||||||||
\(650\) | −3.05117 | − | 1.11053i | −0.119677 | − | 0.0435587i | ||||
\(651\) | 3.27423 | + | 2.96281i | 0.128327 | + | 0.116122i | ||||
\(652\) | 5.44875 | + | 4.57205i | 0.213390 | + | 0.179055i | ||||
\(653\) | −0.395201 | + | 2.24130i | −0.0154654 | + | 0.0877087i | −0.991564 | − | 0.129622i | \(-0.958624\pi\) |
0.976098 | + | 0.217330i | \(0.0697349\pi\) | |||||||
\(654\) | −12.0955 | − | 22.8846i | −0.472972 | − | 0.894858i | ||||
\(655\) | 3.79752 | − | 3.18650i | 0.148381 | − | 0.124507i | ||||
\(656\) | −1.44175 | − | 2.49719i | −0.0562910 | − | 0.0974989i | ||||
\(657\) | −20.6054 | + | 14.8157i | −0.803895 | + | 0.578016i | ||||
\(658\) | 5.73832 | − | 9.93905i | 0.223703 | − | 0.387465i | ||||
\(659\) | −1.41477 | − | 8.02357i | −0.0551117 | − | 0.312554i | 0.944773 | − | 0.327725i | \(-0.106282\pi\) |
−0.999885 | + | 0.0151709i | \(0.995171\pi\) | |||||||
\(660\) | 1.98916 | + | 14.4119i | 0.0774281 | + | 0.560983i | ||||
\(661\) | 44.6728 | − | 16.2596i | 1.73757 | − | 0.632424i | 0.738448 | − | 0.674311i | \(-0.235559\pi\) |
0.999122 | + | 0.0418870i | \(0.0133369\pi\) | |||||||
\(662\) | 28.2199 | − | 10.2712i | 1.09680 | − | 0.399201i | ||||
\(663\) | −20.6636 | + | 16.0621i | −0.802508 | + | 0.623801i | ||||
\(664\) | −0.613531 | − | 3.47951i | −0.0238096 | − | 0.135031i | ||||
\(665\) | −3.82215 | + | 6.62015i | −0.148217 | + | 0.256719i | ||||
\(666\) | 8.42596 | + | 8.21770i | 0.326499 | + | 0.318430i | ||||
\(667\) | −32.6661 | − | 56.5794i | −1.26484 | − | 2.19076i | ||||
\(668\) | −4.87847 | + | 4.09352i | −0.188754 | + | 0.158383i | ||||
\(669\) | −1.00282 | − | 0.0375002i | −0.0387713 | − | 0.00144984i | ||||
\(670\) | −4.95114 | + | 28.0793i | −0.191279 | + | 1.08480i | ||||
\(671\) | 13.9465 | + | 11.7025i | 0.538398 | + | 0.451770i | ||||
\(672\) | −0.364298 | + | 1.69331i | −0.0140531 | + | 0.0653207i | ||||
\(673\) | −11.1024 | − | 4.04094i | −0.427966 | − | 0.155767i | 0.119052 | − | 0.992888i | \(-0.462015\pi\) |
−0.547017 | + | 0.837121i | \(0.684237\pi\) | |||||||
\(674\) | 9.76639 | 0.376187 | ||||||||
\(675\) | −4.48001 | + | 2.97373i | −0.172436 | + | 0.114459i | ||||
\(676\) | −3.15486 | −0.121341 | ||||||||
\(677\) | −6.34762 | − | 2.31035i | −0.243959 | − | 0.0887938i | 0.217147 | − | 0.976139i | \(-0.430325\pi\) |
−0.461106 | + | 0.887345i | \(0.652547\pi\) | |||||||
\(678\) | 7.59853 | − | 2.44817i | 0.291820 | − | 0.0940215i | ||||
\(679\) | 3.98948 | + | 3.34757i | 0.153102 | + | 0.128468i | ||||
\(680\) | −1.66520 | + | 9.44385i | −0.0638577 | + | 0.362155i | ||||
\(681\) | 3.83699 | − | 6.10683i | 0.147034 | − | 0.234014i | ||||
\(682\) | 8.23807 | − | 6.91256i | 0.315452 | − | 0.264696i | ||||
\(683\) | −9.89398 | − | 17.1369i | −0.378583 | − | 0.655725i | 0.612274 | − | 0.790646i | \(-0.290255\pi\) |
−0.990856 | + | 0.134921i | \(0.956922\pi\) | |||||||
\(684\) | −11.4845 | − | 0.860125i | −0.439122 | − | 0.0328877i | ||||
\(685\) | 13.2268 | − | 22.9096i | 0.505372 | − | 0.875330i | ||||
\(686\) | −0.173648 | − | 0.984808i | −0.00662992 | − | 0.0376001i | ||||
\(687\) | −29.1202 | − | 11.8491i | −1.11100 | − | 0.452071i | ||||
\(688\) | 3.46922 | − | 1.26269i | 0.132263 | − | 0.0481397i | ||||
\(689\) | 38.0430 | − | 13.8465i | 1.44932 | − | 0.527510i | ||||
\(690\) | 30.5326 | + | 12.4238i | 1.16236 | + | 0.472967i | ||||
\(691\) | 8.03633 | + | 45.5763i | 0.305716 | + | 1.73380i | 0.620113 | + | 0.784512i | \(0.287087\pi\) |
−0.314397 | + | 0.949292i | \(0.601802\pi\) | |||||||
\(692\) | −7.15052 | + | 12.3851i | −0.271822 | + | 0.470809i | ||||
\(693\) | 7.12813 | − | 10.4561i | 0.270775 | − | 0.397193i | ||||
\(694\) | 5.54686 | + | 9.60745i | 0.210556 | + | 0.364694i | ||||
\(695\) | −21.1930 | + | 17.7830i | −0.803897 | + | 0.674549i | ||||
\(696\) | −6.29896 | + | 10.0252i | −0.238761 | + | 0.380006i | ||||
\(697\) | −2.41134 | + | 13.6754i | −0.0913359 | + | 0.517991i | ||||
\(698\) | −2.31004 | − | 1.93835i | −0.0874363 | − | 0.0733678i | ||||
\(699\) | −11.2879 | + | 3.63687i | −0.426949 | + | 0.137559i | ||||
\(700\) | 0.972422 | + | 0.353933i | 0.0367541 | + | 0.0133774i | ||||
\(701\) | 22.5588 | 0.852034 | 0.426017 | − | 0.904715i | \(-0.359916\pi\) | ||||
0.426017 | + | 0.904715i | \(0.359916\pi\) | |||||||
\(702\) | 9.68072 | − | 13.1188i | 0.365375 | − | 0.495136i | ||||
\(703\) | 15.0610 | 0.568035 | ||||||||
\(704\) | 3.96382 | + | 1.44271i | 0.149392 | + | 0.0543742i | ||||
\(705\) | −8.32535 | + | 38.6973i | −0.313551 | + | 1.45743i | ||||
\(706\) | −1.16399 | − | 0.976700i | −0.0438072 | − | 0.0367586i | ||||
\(707\) | 1.62884 | − | 9.23760i | 0.0612588 | − | 0.347416i | ||||
\(708\) | −5.42202 | − | 0.202755i | −0.203772 | − | 0.00762001i | ||||
\(709\) | −21.3008 | + | 17.8735i | −0.799970 | + | 0.671254i | −0.948191 | − | 0.317700i | \(-0.897090\pi\) |
0.148222 | + | 0.988954i | \(0.452645\pi\) | |||||||
\(710\) | −6.03274 | − | 10.4490i | −0.226405 | − | 0.392144i | ||||
\(711\) | 10.4986 | − | 41.2383i | 0.393728 | − | 1.54656i | ||||
\(712\) | 5.49875 | − | 9.52411i | 0.206074 | − | 0.356931i | ||||
\(713\) | −4.23113 | − | 23.9959i | −0.158457 | − | 0.898654i | ||||
\(714\) | 6.58560 | − | 5.11908i | 0.246460 | − | 0.191577i | ||||
\(715\) | −24.7660 | + | 9.01408i | −0.926195 | + | 0.337107i | ||||
\(716\) | 7.55241 | − | 2.74885i | 0.282247 | − | 0.102729i | ||||
\(717\) | 5.16274 | + | 37.4051i | 0.192806 | + | 1.39692i | ||||
\(718\) | −5.67064 | − | 32.1598i | −0.211626 | − | 1.20019i | ||||
\(719\) | −0.132486 | + | 0.229472i | −0.00494089 | + | 0.00855787i | −0.868485 | − | 0.495715i | \(-0.834906\pi\) |
0.863544 | + | 0.504273i | \(0.168239\pi\) | |||||||
\(720\) | −0.595069 | − | 5.94411i | −0.0221769 | − | 0.221524i | ||||
\(721\) | −1.19956 | − | 2.07770i | −0.0446739 | − | 0.0773774i | ||||
\(722\) | 3.26555 | − | 2.74012i | 0.121531 | − | 0.101977i | ||||
\(723\) | −16.0616 | − | 30.3884i | −0.597338 | − | 1.13016i | ||||
\(724\) | −1.08628 | + | 6.16063i | −0.0403714 | + | 0.228958i | ||||
\(725\) | 5.41887 | + | 4.54697i | 0.201252 | + | 0.168870i | ||||
\(726\) | −8.72457 | − | 7.89476i | −0.323799 | − | 0.293002i | ||||
\(727\) | 6.72977 | + | 2.44943i | 0.249593 | + | 0.0908445i | 0.463787 | − | 0.885947i | \(-0.346490\pi\) |
−0.214194 | + | 0.976791i | \(0.568712\pi\) | |||||||
\(728\) | −3.13770 | −0.116291 | ||||||||
\(729\) | −7.96188 | − | 25.7994i | −0.294885 | − | 0.955533i | ||||
\(730\) | −16.8455 | −0.623478 | ||||||||
\(731\) | −16.7070 | − | 6.08084i | −0.617930 | − | 0.224908i | ||||
\(732\) | −5.54305 | − | 5.01583i | −0.204877 | − | 0.185391i | ||||
\(733\) | 3.74011 | + | 3.13833i | 0.138144 | + | 0.115917i | 0.709241 | − | 0.704966i | \(-0.249038\pi\) |
−0.571097 | + | 0.820882i | \(0.693482\pi\) | |||||||
\(734\) | 3.74664 | − | 21.2483i | 0.138291 | − | 0.784288i | ||||
\(735\) | 1.61167 | + | 3.04927i | 0.0594474 | + | 0.112474i | ||||
\(736\) | 7.32143 | − | 6.14341i | 0.269872 | − | 0.226449i | ||||
\(737\) | −30.1996 | − | 52.3073i | −1.11242 | − | 1.92676i | ||||
\(738\) | −0.861702 | − | 8.60750i | −0.0317197 | − | 0.316846i | ||||
\(739\) | 8.06520 | − | 13.9693i | 0.296683 | − | 0.513871i | −0.678692 | − | 0.734423i | \(-0.737453\pi\) |
0.975375 | + | 0.220553i | \(0.0707861\pi\) | |||||||
\(740\) | 1.35659 | + | 7.69359i | 0.0498691 | + | 0.282822i | ||||
\(741\) | −2.85252 | − | 20.6671i | −0.104790 | − | 0.759226i | ||||
\(742\) | −12.1245 | + | 4.41295i | −0.445104 | + | 0.162005i | ||||
\(743\) | −11.3963 | + | 4.14791i | −0.418089 | + | 0.152172i | −0.542494 | − | 0.840060i | \(-0.682520\pi\) |
0.124405 | + | 0.992231i | \(0.460298\pi\) | |||||||
\(744\) | −3.48636 | + | 2.71000i | −0.127816 | + | 0.0993535i | ||||
\(745\) | −5.72049 | − | 32.4425i | −0.209583 | − | 1.18860i | ||||
\(746\) | 0.333086 | − | 0.576922i | 0.0121951 | − | 0.0211226i | ||||
\(747\) | 2.61505 | − | 10.2719i | 0.0956798 | − | 0.375829i | ||||
\(748\) | −10.1570 | − | 17.5924i | −0.371376 | − | 0.643242i | ||||
\(749\) | −1.97121 | + | 1.65404i | −0.0720265 | + | 0.0604374i | ||||
\(750\) | −20.7995 | − | 0.777793i | −0.759491 | − | 0.0284010i | ||||
\(751\) | −5.84605 | + | 33.1546i | −0.213326 | + | 1.20983i | 0.670463 | + | 0.741943i | \(0.266095\pi\) |
−0.883789 | + | 0.467886i | \(0.845016\pi\) | |||||||
\(752\) | 8.79161 | + | 7.37704i | 0.320597 | + | 0.269013i | ||||
\(753\) | −6.71524 | + | 31.2133i | −0.244717 | + | 1.13748i | ||||
\(754\) | −20.1550 | − | 7.33582i | −0.734002 | − | 0.267155i | ||||
\(755\) | 7.26457 | 0.264385 | ||||||||
\(756\) | −3.08530 | + | 4.18102i | −0.112211 | + | 0.152062i | ||||
\(757\) | 11.3405 | 0.412177 | 0.206089 | − | 0.978533i | \(-0.433927\pi\) | ||||
0.206089 | + | 0.978533i | \(0.433927\pi\) | |||||||
\(758\) | −14.3276 | − | 5.21484i | −0.520404 | − | 0.189411i | ||||
\(759\) | −66.4636 | + | 21.4139i | −2.41248 | + | 0.777276i | ||||
\(760\) | −5.85587 | − | 4.91366i | −0.212415 | − | 0.178237i | ||||
\(761\) | 1.28146 | − | 7.26754i | 0.0464530 | − | 0.263448i | −0.952732 | − | 0.303812i | \(-0.901741\pi\) |
0.999185 | + | 0.0403638i | \(0.0128517\pi\) | |||||||
\(762\) | 0.213496 | − | 0.339793i | 0.00773413 | − | 0.0123094i | ||||
\(763\) | −11.4481 | + | 9.60608i | −0.414448 | + | 0.347763i | ||||
\(764\) | 8.28449 | + | 14.3492i | 0.299722 | + | 0.519134i | ||||
\(765\) | −16.2049 | + | 23.7705i | −0.585888 | + | 0.859423i | ||||
\(766\) | 12.6032 | − | 21.8294i | 0.455373 | − | 0.788729i | ||||
\(767\) | −1.70681 | − | 9.67980i | −0.0616293 | − | 0.349517i | ||||
\(768\) | −1.60432 | − | 0.652804i | −0.0578910 | − | 0.0235560i | ||||
\(769\) | −4.66553 | + | 1.69811i | −0.168243 | + | 0.0612356i | −0.424769 | − | 0.905302i | \(-0.639645\pi\) |
0.256525 | + | 0.966538i | \(0.417422\pi\) | |||||||
\(770\) | 7.89304 | − | 2.87283i | 0.284446 | − | 0.103530i | ||||
\(771\) | 21.0686 | + | 8.57289i | 0.758768 | + | 0.308745i | ||||
\(772\) | 0.290549 | + | 1.64779i | 0.0104571 | + | 0.0593051i | ||||
\(773\) | 9.78671 | − | 16.9511i | 0.352003 | − | 0.609688i | −0.634597 | − | 0.772843i | \(-0.718834\pi\) |
0.986600 | + | 0.163155i | \(0.0521672\pi\) | |||||||
\(774\) | 11.0447 | + | 0.827181i | 0.396992 | + | 0.0297324i | ||||
\(775\) | 1.31912 | + | 2.28478i | 0.0473840 | + | 0.0820715i | ||||
\(776\) | −3.98948 | + | 3.34757i | −0.143214 | + | 0.120171i | ||||
\(777\) | 3.61518 | − | 5.75381i | 0.129694 | − | 0.206417i | ||||
\(778\) | −0.349868 | + | 1.98420i | −0.0125434 | + | 0.0711370i | ||||
\(779\) | −8.47972 | − | 7.11533i | −0.303817 | − | 0.254933i | ||||
\(780\) | 10.3004 | − | 3.31870i | 0.368815 | − | 0.118829i | ||||
\(781\) | 24.0175 | + | 8.74164i | 0.859412 | + | 0.312801i | ||||
\(782\) | −46.0266 | −1.64591 | ||||||||
\(783\) | −29.5935 | + | 19.6435i | −1.05758 | + | 0.702001i | ||||
\(784\) | 1.00000 | 0.0357143 | ||||||||
\(785\) | −37.6171 | − | 13.6915i | −1.34261 | − | 0.488671i | ||||
\(786\) | 0.906928 | − | 4.21552i | 0.0323490 | − | 0.150363i | ||||
\(787\) | −30.7286 | − | 25.7844i | −1.09536 | − | 0.919114i | −0.0982529 | − | 0.995161i | \(-0.531325\pi\) |
−0.997104 | + | 0.0760477i | \(0.975770\pi\) | |||||||
\(788\) | −3.43593 | + | 19.4861i | −0.122400 | + | 0.694164i | ||||
\(789\) | −5.25970 | − | 0.196685i | −0.187250 | − | 0.00700218i | ||||
\(790\) | 21.6372 | − | 18.1558i | 0.769817 | − | 0.645953i | ||||
\(791\) | −2.30455 | − | 3.99159i | −0.0819403 | − | 0.141925i | ||||
\(792\) | 9.05942 | + | 8.83551i | 0.321913 | + | 0.313956i | ||||
\(793\) | 6.77117 | − | 11.7280i | 0.240451 | − | 0.416474i | ||||
\(794\) | −1.54812 | − | 8.77981i | −0.0549407 | − | 0.311584i | ||||
\(795\) | 35.1348 | − | 27.3108i | 1.24610 | − | 0.968614i | ||||
\(796\) | 6.09270 | − | 2.21756i | 0.215950 | − | 0.0785994i | ||||
\(797\) | −5.57055 | + | 2.02752i | −0.197319 | + | 0.0718183i | −0.438789 | − | 0.898590i | \(-0.644593\pi\) |
0.241470 | + | 0.970408i | \(0.422370\pi\) | |||||||
\(798\) | 0.909113 | + | 6.58672i | 0.0321823 | + | 0.233167i | ||||
\(799\) | −9.59735 | − | 54.4293i | −0.339530 | − | 1.92557i | ||||
\(800\) | −0.517415 | + | 0.896189i | −0.0182934 | + | 0.0316851i | ||||
\(801\) | 26.7870 | − | 19.2604i | 0.946472 | − | 0.680532i | ||||
\(802\) | 11.1756 | + | 19.3566i | 0.394622 | + | 0.683506i | ||||
\(803\) | 27.3359 | − | 22.9376i | 0.964664 | − | 0.809449i | ||||
\(804\) | 11.5891 | + | 21.9264i | 0.408716 | + | 0.773286i | ||||
\(805\) | 3.30478 | − | 18.7424i | 0.116478 | − | 0.660581i | ||||
\(806\) | −6.12786 | − | 5.14188i | −0.215845 | − | 0.181115i | ||||
\(807\) | −10.3520 | − | 9.36738i | −0.364407 | − | 0.329747i | ||||
\(808\) | 8.81442 | + | 3.20819i | 0.310090 | + | 0.112864i | ||||
\(809\) | 48.0120 | 1.68801 | 0.844005 | − | 0.536335i | \(-0.180192\pi\) | ||||
0.844005 | + | 0.536335i | \(0.180192\pi\) | |||||||
\(810\) | 5.70621 | − | 16.9888i | 0.200496 | − | 0.596924i | ||||
\(811\) | 7.41369 | 0.260330 | 0.130165 | − | 0.991492i | \(-0.458449\pi\) | ||||
0.130165 | + | 0.991492i | \(0.458449\pi\) | |||||||
\(812\) | 6.42350 | + | 2.33796i | 0.225421 | + | 0.0820464i | ||||
\(813\) | −35.8170 | − | 32.4103i | −1.25616 | − | 1.13668i | ||||
\(814\) | −12.6773 | − | 10.6376i | −0.444341 | − | 0.372846i | ||||
\(815\) | −2.45949 | + | 13.9484i | −0.0861520 | + | 0.488592i | ||||
\(816\) | 3.89773 | + | 7.37447i | 0.136448 | + | 0.258158i | ||||
\(817\) | 10.8569 | − | 9.11003i | 0.379835 | − | 0.318719i | ||||
\(818\) | −18.1155 | − | 31.3769i | −0.633392 | − | 1.09707i | ||||
\(819\) | −8.58026 | − | 3.87109i | −0.299819 | − | 0.135267i | ||||
\(820\) | 2.87093 | − | 4.97259i | 0.100257 | − | 0.173650i | ||||
\(821\) | 1.44030 | + | 8.16834i | 0.0502668 | + | 0.285077i | 0.999571 | − | 0.0292811i | \(-0.00932179\pi\) |
−0.949304 | + | 0.314358i | \(0.898211\pi\) | |||||||
\(822\) | −3.14606 | − | 22.7939i | −0.109731 | − | 0.795028i | ||||
\(823\) | −21.0910 | + | 7.67651i | −0.735187 | + | 0.267586i | −0.682359 | − | 0.731017i | \(-0.739046\pi\) |
−0.0528283 | + | 0.998604i | \(0.516824\pi\) | |||||||
\(824\) | 2.25443 | − | 0.820546i | 0.0785368 | − | 0.0285851i | ||||
\(825\) | 5.96933 | − | 4.64005i | 0.207826 | − | 0.161546i | ||||
\(826\) | 0.543969 | + | 3.08500i | 0.0189271 | + | 0.107341i | ||||
\(827\) | −5.69499 | + | 9.86402i | −0.198034 | + | 0.343006i | −0.947891 | − | 0.318595i | \(-0.896789\pi\) |
0.749857 | + | 0.661600i | \(0.230122\pi\) | |||||||
\(828\) | 27.6003 | − | 7.76688i | 0.959178 | − | 0.269918i | ||||
\(829\) | −26.0641 | − | 45.1443i | −0.905242 | − | 1.56793i | −0.820591 | − | 0.571515i | \(-0.806356\pi\) |
−0.0846510 | − | 0.996411i | \(-0.526978\pi\) | |||||||
\(830\) | 5.38953 | − | 4.52235i | 0.187073 | − | 0.156973i | ||||
\(831\) | 38.3474 | + | 1.43399i | 1.33026 | + | 0.0497446i | ||||
\(832\) | 0.544855 | − | 3.09003i | 0.0188895 | − | 0.107127i | ||||
\(833\) | −3.68910 | − | 3.09552i | −0.127820 | − | 0.107254i | ||||
\(834\) | −5.06134 | + | 23.5257i | −0.175260 | + | 0.814630i | ||||
\(835\) | −11.9164 | − | 4.33723i | −0.412385 | − | 0.150096i | ||||
\(836\) | 16.1933 | 0.560056 | ||||||||
\(837\) | −12.8771 | + | 3.10944i | −0.445099 | + | 0.107478i | ||||
\(838\) | 9.57136 | 0.330637 | ||||||||
\(839\) | 19.2368 | + | 7.00161i | 0.664127 | + | 0.241722i | 0.652017 | − | 0.758204i | \(-0.273923\pi\) |
0.0121098 | + | 0.999927i | \(0.496145\pi\) | |||||||
\(840\) | −3.28280 | + | 1.05769i | −0.113268 | + | 0.0364937i | ||||
\(841\) | 13.5800 | + | 11.3950i | 0.468276 | + | 0.392930i | ||||
\(842\) | 0.604337 | − | 3.42737i | 0.0208268 | − | 0.118115i | ||||
\(843\) | 22.8104 | − | 36.3044i | 0.785632 | − | 1.25039i | ||||
\(844\) | −11.4580 | + | 9.61442i | −0.394401 | + | 0.330942i | ||||
\(845\) | −3.14110 | − | 5.44054i | −0.108057 | − | 0.187160i | ||||
\(846\) | 14.9400 | + | 31.0196i | 0.513647 | + | 1.06648i | ||||
\(847\) | −3.39663 | + | 5.88314i | −0.116710 | + | 0.202147i | ||||
\(848\) | −2.24051 | − | 12.7066i | −0.0769396 | − | 0.436346i | ||||
\(849\) | 3.96289 | + | 1.61251i | 0.136006 | + | 0.0553414i | ||||
\(850\) | 4.68297 | − | 1.70446i | 0.160625 | − | 0.0584626i | ||||
\(851\) | −35.2350 | + | 12.8245i | −1.20784 | + | 0.439618i | ||||
\(852\) | −9.72087 | − | 3.95545i | −0.333031 | − | 0.135512i | ||||
\(853\) | 6.10602 | + | 34.6289i | 0.209066 | + | 1.18567i | 0.890912 | + | 0.454176i | \(0.150066\pi\) |
−0.681846 | + | 0.731496i | \(0.738822\pi\) | |||||||
\(854\) | −2.15801 | + | 3.73778i | −0.0738455 | + | 0.127904i | ||||
\(855\) | −9.95114 | − | 20.6614i | −0.340322 | − | 0.706604i | ||||
\(856\) | −1.28662 | − | 2.22849i | −0.0439757 | − | 0.0761681i | ||||
\(857\) | −3.74755 | + | 3.14457i | −0.128014 | + | 0.107416i | −0.704547 | − | 0.709658i | \(-0.748850\pi\) |
0.576533 | + | 0.817074i | \(0.304405\pi\) | |||||||
\(858\) | −12.1961 | + | 19.4110i | −0.416369 | + | 0.662680i | ||||
\(859\) | 8.60985 | − | 48.8289i | 0.293764 | − | 1.66602i | −0.378418 | − | 0.925635i | \(-0.623532\pi\) |
0.672182 | − | 0.740386i | \(-0.265357\pi\) | |||||||
\(860\) | 5.63158 | + | 4.72546i | 0.192035 | + | 0.161137i | ||||
\(861\) | −4.75374 | + | 1.53161i | −0.162007 | + | 0.0521971i | ||||
\(862\) | −10.0346 | − | 3.65229i | −0.341779 | − | 0.124398i | ||||
\(863\) | 11.9171 | 0.405662 | 0.202831 | − | 0.979214i | \(-0.434986\pi\) | ||||
0.202831 | + | 0.979214i | \(0.434986\pi\) | |||||||
\(864\) | −3.58175 | − | 3.76445i | −0.121853 | − | 0.128069i | ||||
\(865\) | −28.4773 | −0.968256 | ||||||||
\(866\) | 19.5577 | + | 7.11841i | 0.664596 | + | 0.241893i | ||||
\(867\) | 2.25563 | − | 10.4845i | 0.0766054 | − | 0.356072i | ||||
\(868\) | 1.95298 | + | 1.63874i | 0.0662885 | + | 0.0556226i | ||||
\(869\) | −10.3900 | + | 58.9244i | −0.352456 | + | 1.99887i | ||||
\(870\) | −23.5599 | − | 0.881018i | −0.798756 | − | 0.0298693i | ||||
\(871\) | −34.4167 | + | 28.8790i | −1.16616 | + | 0.978528i | ||||
\(872\) | −7.47220 | − | 12.9422i | −0.253041 | − | 0.438279i | ||||
\(873\) | −15.0395 | + | 4.23220i | −0.509011 | + | 0.143238i | ||||
\(874\) | 18.3450 | − | 31.7745i | 0.620530 | − | 1.07479i | ||||
\(875\) | 2.08673 | + | 11.8344i | 0.0705443 | + | 0.400077i | ||||
\(876\) | −11.5686 | + | 8.99244i | −0.390867 | + | 0.303826i | ||||
\(877\) | 20.8442 | − | 7.58668i | 0.703860 | − | 0.256184i | 0.0348017 | − | 0.999394i | \(-0.488920\pi\) |
0.669058 | + | 0.743210i | \(0.266698\pi\) | |||||||
\(878\) | 10.2815 | − | 3.74218i | 0.346985 | − | 0.126292i | ||||
\(879\) | −0.880115 | − | 6.37662i | −0.0296855 | − | 0.215078i | ||||
\(880\) | 1.45858 | + | 8.27199i | 0.0491686 | + | 0.278849i | ||||
\(881\) | 8.25657 | − | 14.3008i | 0.278171 | − | 0.481806i | −0.692759 | − | 0.721169i | \(-0.743605\pi\) |
0.970930 | + | 0.239363i | \(0.0769385\pi\) | |||||||
\(882\) | 2.73457 | + | 1.23374i | 0.0920779 | + | 0.0415421i | ||||
\(883\) | −5.81322 | − | 10.0688i | −0.195630 | − | 0.338842i | 0.751477 | − | 0.659760i | \(-0.229342\pi\) |
−0.947107 | + | 0.320918i | \(0.896009\pi\) | |||||||
\(884\) | −11.5753 | + | 9.71281i | −0.389319 | + | 0.326677i | ||||
\(885\) | −5.04871 | − | 9.55211i | −0.169711 | − | 0.321091i | ||||
\(886\) | 2.82949 | − | 16.0469i | 0.0950587 | − | 0.539105i | ||||
\(887\) | 13.4711 | + | 11.3036i | 0.452314 | + | 0.379537i | 0.840294 | − | 0.542131i | \(-0.182382\pi\) |
−0.387980 | + | 0.921668i | \(0.626827\pi\) | |||||||
\(888\) | 5.03863 | + | 4.55939i | 0.169085 | + | 0.153003i | ||||
\(889\) | −0.217717 | − | 0.0792424i | −0.00730198 | − | 0.00265770i | ||||
\(890\) | 21.8990 | 0.734057 | ||||||||
\(891\) | 13.8729 | + | 35.3383i | 0.464761 | + | 1.18388i | ||||
\(892\) | −0.579383 | −0.0193992 | ||||||||
\(893\) | 41.4006 | + | 15.0686i | 1.38542 | + | 0.504251i | ||||
\(894\) | −21.2470 | − | 19.2262i | −0.710606 | − | 0.643019i | ||||
\(895\) | 12.2598 | + | 10.2872i | 0.409801 | + | 0.343864i | ||||
\(896\) | −0.173648 | + | 0.984808i | −0.00580118 | + | 0.0329001i | ||||
\(897\) | 24.2716 | + | 45.9216i | 0.810406 | + | 1.53328i | ||||
\(898\) | 12.8317 | − | 10.7671i | 0.428200 | − | 0.359303i | ||||
\(899\) | 8.71364 | + | 15.0925i | 0.290616 | + | 0.503362i | ||||
\(900\) | −2.52057 | + | 1.81234i | −0.0840191 | + | 0.0604113i | ||||
\(901\) | −31.0681 | + | 53.8114i | −1.03503 | + | 1.79272i | ||||
\(902\) | 2.11212 | + | 11.9784i | 0.0703260 | + | 0.398838i | ||||
\(903\) | −0.874294 | − | 6.33444i | −0.0290947 | − | 0.210797i | ||||
\(904\) | 4.33113 | − | 1.57640i | 0.144051 | − | 0.0524304i | ||||
\(905\) | −11.7055 | + | 4.26045i | −0.389104 | + | 0.141622i | ||||
\(906\) | 4.98894 | − | 3.87797i | 0.165746 | − | 0.128837i | ||||
\(907\) | −5.78835 | − | 32.8274i | −0.192199 | − | 1.09001i | −0.916351 | − | 0.400375i | \(-0.868880\pi\) |
0.724152 | − | 0.689640i | \(-0.242231\pi\) | |||||||
\(908\) | 2.08198 | − | 3.60610i | 0.0690930 | − | 0.119673i | ||||
\(909\) | 20.1456 | + | 19.6477i | 0.668188 | + | 0.651673i | ||||
\(910\) | −3.12401 | − | 5.41094i | −0.103560 | − | 0.179371i | ||||
\(911\) | −24.7659 | + | 20.7810i | −0.820530 | + | 0.688507i | −0.953096 | − | 0.302668i | \(-0.902123\pi\) |
0.132566 | + | 0.991174i | \(0.457678\pi\) | |||||||
\(912\) | −6.64452 | − | 0.248470i | −0.220022 | − | 0.00822767i | ||||
\(913\) | −2.58800 | + | 14.6773i | −0.0856503 | + | 0.485747i | ||||
\(914\) | −2.16314 | − | 1.81509i | −0.0715502 | − | 0.0600377i | ||||
\(915\) | 3.13091 | − | 14.5529i | 0.103505 | − | 0.481104i | ||||
\(916\) | −17.0564 | − | 6.20804i | −0.563561 | − | 0.205119i | ||||
\(917\) | −2.48952 | −0.0822111 | ||||||||
\(918\) | 1.56048 | + | 24.9748i | 0.0515034 | + | 0.824292i | ||||
\(919\) | 46.0285 | 1.51834 | 0.759170 | − | 0.650892i | \(-0.225605\pi\) | ||||
0.759170 | + | 0.650892i | \(0.225605\pi\) | |||||||
\(920\) | 17.8838 | + | 6.50915i | 0.589610 | + | 0.214600i | ||||
\(921\) | 21.9396 | − | 7.06873i | 0.722934 | − | 0.232922i | ||||
\(922\) | −21.7839 | − | 18.2788i | −0.717414 | − | 0.601982i | ||||
\(923\) | 3.30137 | − | 18.7230i | 0.108666 | − | 0.616276i | ||||
\(924\) | 3.88697 | − | 6.18638i | 0.127872 | − | 0.203517i | ||||
\(925\) | 3.11007 | − | 2.60966i | 0.102258 | − | 0.0858049i | ||||
\(926\) | 15.0110 | + | 25.9999i | 0.493293 | + | 0.854409i | ||||
\(927\) | 7.17725 | + | 0.537534i | 0.235732 | + | 0.0176549i | ||||
\(928\) | −3.41787 | + | 5.91993i | −0.112197 | + | 0.194331i | ||||
\(929\) | 6.73699 | + | 38.2074i | 0.221033 | + | 1.25354i | 0.870124 | + | 0.492832i | \(0.164038\pi\) |
−0.649091 | + | 0.760711i | \(0.724851\pi\) | |||||||
\(930\) | −8.14453 | − | 3.31404i | −0.267070 | − | 0.108672i | ||||
\(931\) | 3.60738 | − | 1.31298i | 0.118227 | − | 0.0430312i | ||||
\(932\) | −6.43408 | + | 2.34181i | −0.210755 | + | 0.0767087i | ||||
\(933\) | −38.4624 | − | 15.6505i | −1.25920 | − | 0.512374i | ||||
\(934\) | 6.71314 | + | 38.0721i | 0.219661 | + | 1.24576i | ||||
\(935\) | 20.2253 | − | 35.0313i | 0.661438 | − | 1.14564i | ||||
\(936\) | 5.30223 | − | 7.77770i | 0.173309 | − | 0.254222i | ||||
\(937\) | 12.5136 | + | 21.6743i | 0.408803 | + | 0.708068i | 0.994756 | − | 0.102278i | \(-0.0326130\pi\) |
−0.585953 | + | 0.810345i | \(0.699280\pi\) | |||||||
\(938\) | 10.9688 | − | 9.20389i | 0.358143 | − | 0.300518i | ||||
\(939\) | −17.8686 | + | 28.4391i | −0.583119 | + | 0.928075i | ||||
\(940\) | −3.96840 | + | 22.5059i | −0.129435 | + | 0.734062i | ||||
\(941\) | 30.3153 | + | 25.4376i | 0.988251 | + | 0.829241i | 0.985314 | − | 0.170754i | \(-0.0546205\pi\) |
0.00293766 | + | 0.999996i | \(0.499065\pi\) | |||||||
\(942\) | −33.1423 | + | 10.6781i | −1.07983 | + | 0.347912i | ||||
\(943\) | 25.8970 | + | 9.42572i | 0.843321 | + | 0.306944i | ||||
\(944\) | −3.13259 | −0.101957 | ||||||||
\(945\) | −10.2820 | − | 1.15780i | −0.334473 | − | 0.0376631i | ||||
\(946\) | −15.5730 | −0.506323 | ||||||||
\(947\) | 22.8636 | + | 8.32168i | 0.742968 | + | 0.270418i | 0.685644 | − | 0.727937i | \(-0.259521\pi\) |
0.0573246 | + | 0.998356i | \(0.481743\pi\) | |||||||
\(948\) | 5.16742 | − | 24.0188i | 0.167830 | − | 0.780095i | ||||
\(949\) | −20.3337 | − | 17.0620i | −0.660060 | − | 0.553856i | ||||
\(950\) | −0.689836 | + | 3.91225i | −0.0223812 | + | 0.126930i | ||||
\(951\) | 38.2573 | + | 1.43062i | 1.24058 | + | 0.0463912i | ||||
\(952\) | 3.68910 | − | 3.09552i | 0.119564 | − | 0.100326i | ||||
\(953\) | −20.5313 | − | 35.5612i | −0.665073 | − | 1.15194i | −0.979266 | − | 0.202581i | \(-0.935067\pi\) |
0.314193 | − | 0.949359i | \(-0.398266\pi\) | |||||||
\(954\) | 9.54975 | − | 37.5113i | 0.309185 | − | 1.21447i | ||||
\(955\) | −16.4967 | + | 28.5731i | −0.533820 | + | 0.924603i | ||||
\(956\) | 3.78563 | + | 21.4694i | 0.122436 | + | 0.694370i | ||||
\(957\) | 39.4314 | − | 30.6506i | 1.27464 | − | 0.990794i | ||||
\(958\) | −38.1620 | + | 13.8898i | −1.23296 | + | 0.448760i | ||||
\(959\) | −12.4836 | + | 4.54367i | −0.403118 | + | 0.146723i | ||||
\(960\) | −0.471566 | − | 3.41660i | −0.0152197 | − | 0.110270i | ||||
\(961\) | −4.25445 | − | 24.1282i | −0.137240 | − | 0.778328i | ||||
\(962\) | −6.15499 | + | 10.6608i | −0.198445 | + | 0.343717i | ||||
\(963\) | −0.768981 | − | 7.68130i | −0.0247801 | − | 0.247527i | ||||
\(964\) | −9.92232 | − | 17.1860i | −0.319576 | − | 0.553522i | ||||
\(965\) | −2.55231 | + | 2.14165i | −0.0821619 | + | 0.0689420i | ||||
\(966\) | −7.73549 | − | 14.6355i | −0.248885 | − | 0.470888i | ||||
\(967\) | 6.07381 | − | 34.4463i | 0.195321 | − | 1.10772i | −0.716641 | − | 0.697442i | \(-0.754321\pi\) |
0.911961 | − | 0.410276i | \(-0.134568\pi\) | |||||||
\(968\) | −5.20394 | − | 4.36663i | −0.167261 | − | 0.140349i | ||||
\(969\) | 23.7432 | + | 21.4849i | 0.762740 | + | 0.690194i | ||||
\(970\) | −9.74493 | − | 3.54686i | −0.312891 | − | 0.113883i | ||||
\(971\) | 6.86625 | 0.220349 | 0.110174 | − | 0.993912i | \(-0.464859\pi\) | ||||
0.110174 | + | 0.993912i | \(0.464859\pi\) | |||||||
\(972\) | −5.15020 | − | 14.7131i | −0.165193 | − | 0.471923i | ||||
\(973\) | 13.8934 | 0.445401 | ||||||||
\(974\) | 14.0761 | + | 5.12329i | 0.451028 | + | 0.164161i | ||||
\(975\) | −4.17009 | − | 3.77346i | −0.133550 | − | 0.120848i | ||||
\(976\) | −3.30626 | − | 2.77428i | −0.105831 | − | 0.0888026i | ||||
\(977\) | −5.55072 | + | 31.4797i | −0.177583 | + | 1.00712i | 0.757537 | + | 0.652793i | \(0.226403\pi\) |
−0.935120 | + | 0.354331i | \(0.884708\pi\) | |||||||
\(978\) | 5.75690 | + | 10.8920i | 0.184085 | + | 0.348288i | ||||
\(979\) | −35.5366 | + | 29.8187i | −1.13575 | + | 0.953011i | ||||
\(980\) | 0.995637 | + | 1.72449i | 0.0318044 | + | 0.0550869i | ||||
\(981\) | −4.46596 | − | 44.6102i | −0.142587 | − | 1.42429i | ||||
\(982\) | −16.0199 | + | 27.7472i | −0.511214 | + | 0.885449i | ||||
\(983\) | −8.84923 | − | 50.1865i | −0.282247 | − | 1.60070i | −0.714958 | − | 0.699167i | \(-0.753554\pi\) |
0.432711 | − | 0.901532i | \(-0.357557\pi\) | |||||||
\(984\) | −0.682862 | − | 4.94748i | −0.0217688 | − | 0.157720i | ||||
\(985\) | −37.0246 | + | 13.4758i | −1.17970 | + | 0.429376i | ||||
\(986\) | 30.9342 | − | 11.2591i | 0.985144 | − | 0.358563i | ||||
\(987\) | 15.6944 | − | 12.1994i | 0.499557 | − | 0.388313i | ||||
\(988\) | −2.09164 | − | 11.8623i | −0.0665440 | − | 0.377390i | ||||
\(989\) | −17.6424 | + | 30.5575i | −0.560996 | + | 0.971673i | ||||
\(990\) | −6.21689 | + | 24.4199i | −0.197586 | + | 0.776114i | ||||
\(991\) | −20.9279 | − | 36.2482i | −0.664796 | − | 1.15146i | −0.979341 | − | 0.202218i | \(-0.935185\pi\) |
0.314545 | − | 0.949243i | \(-0.398148\pi\) | |||||||
\(992\) | −1.95298 | + | 1.63874i | −0.0620072 | + | 0.0520302i | ||||
\(993\) | 51.9788 | + | 1.94374i | 1.64950 | + | 0.0616826i | ||||
\(994\) | −1.05216 | + | 5.96712i | −0.0333726 | + | 0.189266i | ||||
\(995\) | 9.89029 | + | 8.29894i | 0.313543 | + | 0.263094i | ||||
\(996\) | 1.28713 | − | 5.98276i | 0.0407844 | − | 0.189571i | ||||
\(997\) | 46.2449 | + | 16.8318i | 1.46459 | + | 0.533067i | 0.946625 | − | 0.322336i | \(-0.104468\pi\) |
0.517964 | + | 0.855403i | \(0.326690\pi\) | |||||||
\(998\) | 27.4210 | 0.867996 | ||||||||
\(999\) | 8.15340 | + | 18.6843i | 0.257962 | + | 0.591146i |
(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 | 378.2.u.e.85.5 | ✓ | 36 | |
27.7 | even | 9 | inner | 378.2.u.e.169.5 | yes | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
378.2.u.e.85.5 | ✓ | 36 | 1.1 | even | 1 | trivial | |
378.2.u.e.169.5 | yes | 36 | 27.7 | even | 9 | inner |