Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [605,2,Mod(9,605)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(605, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("605.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 605 = 5 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 605.j (of order \(10\), degree \(4\), not 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: | \(4.83094932229\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{10})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 7x^{14} + 25x^{12} - 57x^{10} + 194x^{8} - 303x^{6} + 235x^{4} - 33x^{2} + 121 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 55) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 9.2 | ||
Root | \(-1.17360 + 0.381325i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 605.9 |
Dual form | 605.2.j.g.269.2 |
$q$-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 \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).
\(n\) | \(122\) | \(486\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{3}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.17360 | − | 0.381325i | −0.829859 | − | 0.269637i | −0.136873 | − | 0.990589i | \(-0.543705\pi\) |
−0.692986 | + | 0.720951i | \(0.743705\pi\) | |||||||
\(3\) | −0.213943 | − | 0.294468i | −0.123520 | − | 0.170011i | 0.742779 | − | 0.669537i | \(-0.233508\pi\) |
−0.866299 | + | 0.499526i | \(0.833508\pi\) | |||||||
\(4\) | −0.386111 | − | 0.280526i | −0.193056 | − | 0.140263i | ||||
\(5\) | −1.33354 | + | 1.79490i | −0.596379 | + | 0.802703i | ||||
\(6\) | 0.138796 | + | 0.427169i | 0.0566630 | + | 0.174391i | ||||
\(7\) | −1.51977 | + | 2.09178i | −0.574417 | + | 0.790618i | −0.993069 | − | 0.117529i | \(-0.962503\pi\) |
0.418652 | + | 0.908147i | \(0.362503\pi\) | |||||||
\(8\) | 1.79681 | + | 2.47310i | 0.635270 | + | 0.874374i | ||||
\(9\) | 0.886111 | − | 2.72717i | 0.295370 | − | 0.909057i | ||||
\(10\) | 2.24948 | − | 1.59798i | 0.711349 | − | 0.505324i | ||||
\(11\) | 0 | 0 | ||||||||
\(12\) | 0.173714i | 0.0501470i | ||||||||
\(13\) | 2.62424 | + | 0.852669i | 0.727834 | + | 0.236488i | 0.649417 | − | 0.760433i | \(-0.275013\pi\) |
0.0784178 | + | 0.996921i | \(0.475013\pi\) | |||||||
\(14\) | 2.58124 | − | 1.87538i | 0.689865 | − | 0.501217i | ||||
\(15\) | 0.813843 | + | 0.00867877i | 0.210133 | + | 0.00224085i | ||||
\(16\) | −0.870718 | − | 2.67979i | −0.217680 | − | 0.669949i | ||||
\(17\) | −3.66275 | + | 1.19010i | −0.888347 | + | 0.288641i | −0.717419 | − | 0.696642i | \(-0.754677\pi\) |
−0.170928 | + | 0.985284i | \(0.554677\pi\) | |||||||
\(18\) | −2.07988 | + | 2.86270i | −0.490232 | + | 0.674746i | ||||
\(19\) | 0.224576 | − | 0.163164i | 0.0515212 | − | 0.0374324i | −0.561727 | − | 0.827323i | \(-0.689863\pi\) |
0.613248 | + | 0.789891i | \(0.289863\pi\) | |||||||
\(20\) | 1.01841 | − | 0.318937i | 0.227724 | − | 0.0713165i | ||||
\(21\) | 0.941105 | 0.205366 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | − | 8.40180i | − | 1.75190i | −0.482406 | − | 0.875948i | \(-0.660237\pi\) | ||
0.482406 | − | 0.875948i | \(-0.339763\pi\) | |||||||
\(24\) | 0.343833 | − | 1.05821i | 0.0701845 | − | 0.216006i | ||||
\(25\) | −1.44333 | − | 4.78715i | −0.288665 | − | 0.957430i | ||||
\(26\) | −2.75466 | − | 2.00138i | −0.540234 | − | 0.392503i | ||||
\(27\) | −2.03115 | + | 0.659959i | −0.390894 | + | 0.127009i | ||||
\(28\) | 1.17360 | − | 0.381325i | 0.221789 | − | 0.0720636i | ||||
\(29\) | −2.68842 | − | 1.95325i | −0.499227 | − | 0.362710i | 0.309495 | − | 0.950901i | \(-0.399840\pi\) |
−0.808722 | + | 0.588191i | \(0.799840\pi\) | |||||||
\(30\) | −0.951815 | − | 0.320524i | −0.173777 | − | 0.0585194i | ||||
\(31\) | 0.174367 | − | 0.536646i | 0.0313172 | − | 0.0963845i | −0.934176 | − | 0.356812i | \(-0.883864\pi\) |
0.965493 | + | 0.260428i | \(0.0838636\pi\) | |||||||
\(32\) | − | 2.63682i | − | 0.466128i | ||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 4.75241 | 0.815031 | ||||||||
\(35\) | −1.72786 | − | 5.51730i | −0.292061 | − | 0.932594i | ||||
\(36\) | −1.10718 | + | 0.804414i | −0.184530 | + | 0.134069i | ||||
\(37\) | 0.307166 | − | 0.422778i | 0.0504979 | − | 0.0695043i | −0.783021 | − | 0.621995i | \(-0.786322\pi\) |
0.833519 | + | 0.552491i | \(0.186322\pi\) | |||||||
\(38\) | −0.325780 | + | 0.105852i | −0.0528485 | + | 0.0171715i | ||||
\(39\) | −0.310356 | − | 0.955178i | −0.0496968 | − | 0.152951i | ||||
\(40\) | −6.83510 | − | 0.0728891i | −1.08072 | − | 0.0115248i | ||||
\(41\) | −4.13559 | + | 3.00469i | −0.645871 | + | 0.469253i | −0.861862 | − | 0.507142i | \(-0.830702\pi\) |
0.215991 | + | 0.976395i | \(0.430702\pi\) | |||||||
\(42\) | −1.10448 | − | 0.358867i | −0.170425 | − | 0.0553744i | ||||
\(43\) | − | 2.54457i | − | 0.388043i | −0.980997 | − | 0.194022i | \(-0.937847\pi\) | ||
0.980997 | − | 0.194022i | \(-0.0621532\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 3.71333 | + | 5.22728i | 0.553550 | + | 0.779237i | ||||
\(46\) | −3.20381 | + | 9.86033i | −0.472377 | + | 1.45383i | ||||
\(47\) | −2.89471 | − | 3.98422i | −0.422236 | − | 0.581158i | 0.543913 | − | 0.839142i | \(-0.316942\pi\) |
−0.966149 | + | 0.257983i | \(0.916942\pi\) | |||||||
\(48\) | −0.602829 | + | 0.829723i | −0.0870109 | + | 0.119760i | ||||
\(49\) | 0.0972724 | + | 0.299374i | 0.0138961 | + | 0.0427677i | ||||
\(50\) | −0.131577 | + | 6.16856i | −0.0186079 | + | 0.872367i | ||||
\(51\) | 1.13407 | + | 0.823948i | 0.158801 | + | 0.115376i | ||||
\(52\) | −0.774055 | − | 1.06539i | −0.107342 | − | 0.147744i | ||||
\(53\) | −8.29403 | − | 2.69489i | −1.13927 | − | 0.370172i | −0.322180 | − | 0.946678i | \(-0.604416\pi\) |
−0.817093 | + | 0.576506i | \(0.804416\pi\) | |||||||
\(54\) | 2.63541 | 0.358633 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −7.90392 | −1.05621 | ||||||||
\(57\) | −0.0960931 | − | 0.0312225i | −0.0127278 | − | 0.00413553i | ||||
\(58\) | 2.41030 | + | 3.31749i | 0.316488 | + | 0.435608i | ||||
\(59\) | 6.07350 | + | 4.41265i | 0.790702 | + | 0.574479i | 0.908172 | − | 0.418598i | \(-0.137478\pi\) |
−0.117470 | + | 0.993076i | \(0.537478\pi\) | |||||||
\(60\) | −0.311799 | − | 0.231655i | −0.0402531 | − | 0.0299066i | ||||
\(61\) | −4.38157 | − | 13.4851i | −0.561003 | − | 1.72659i | −0.679539 | − | 0.733639i | \(-0.737820\pi\) |
0.118537 | − | 0.992950i | \(-0.462180\pi\) | |||||||
\(62\) | −0.409273 | + | 0.563316i | −0.0519777 | + | 0.0715412i | ||||
\(63\) | 4.35795 | + | 5.99821i | 0.549050 | + | 0.755703i | ||||
\(64\) | −2.74692 | + | 8.45415i | −0.343365 | + | 1.05677i | ||||
\(65\) | −5.03000 | + | 3.57318i | −0.623894 | + | 0.443199i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | − | 3.20618i | − | 0.391698i | −0.980634 | − | 0.195849i | \(-0.937254\pi\) | ||
0.980634 | − | 0.195849i | \(-0.0627462\pi\) | |||||||
\(68\) | 1.74808 | + | 0.567987i | 0.211986 | + | 0.0688785i | ||||
\(69\) | −2.47406 | + | 1.79751i | −0.297842 | + | 0.216395i | ||||
\(70\) | −0.0760762 | + | 7.13397i | −0.00909284 | + | 0.852672i | ||||
\(71\) | −2.59605 | − | 7.98982i | −0.308094 | − | 0.948217i | −0.978504 | − | 0.206226i | \(-0.933882\pi\) |
0.670410 | − | 0.741991i | \(-0.266118\pi\) | |||||||
\(72\) | 8.33675 | − | 2.70877i | 0.982495 | − | 0.319232i | ||||
\(73\) | 7.66193 | − | 10.5457i | 0.896761 | − | 1.23429i | −0.0747283 | − | 0.997204i | \(-0.523809\pi\) |
0.971490 | − | 0.237082i | \(-0.0761910\pi\) | |||||||
\(74\) | −0.521706 | + | 0.379041i | −0.0606471 | + | 0.0440627i | ||||
\(75\) | −1.10087 | + | 1.44919i | −0.127118 | + | 0.167338i | ||||
\(76\) | −0.132483 | −0.0151969 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 1.23934i | 0.140328i | ||||||||
\(79\) | 2.99878 | − | 9.22929i | 0.337389 | − | 1.03838i | −0.628145 | − | 0.778097i | \(-0.716185\pi\) |
0.965533 | − | 0.260279i | \(-0.0838146\pi\) | |||||||
\(80\) | 5.97110 | + | 2.01077i | 0.667589 | + | 0.224811i | ||||
\(81\) | −6.33072 | − | 4.59954i | −0.703414 | − | 0.511060i | ||||
\(82\) | 5.99928 | − | 1.94929i | 0.662510 | − | 0.215263i | ||||
\(83\) | 3.13562 | − | 1.01883i | 0.344179 | − | 0.111831i | −0.131826 | − | 0.991273i | \(-0.542084\pi\) |
0.476006 | + | 0.879442i | \(0.342084\pi\) | |||||||
\(84\) | −0.363371 | − | 0.264005i | −0.0396471 | − | 0.0288053i | ||||
\(85\) | 2.74832 | − | 8.16131i | 0.298098 | − | 0.885218i | ||||
\(86\) | −0.970308 | + | 2.98630i | −0.104631 | + | 0.322021i | ||||
\(87\) | 1.20954i | 0.129676i | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −2.48823 | −0.263752 | −0.131876 | − | 0.991266i | \(-0.542100\pi\) | ||||
−0.131876 | + | 0.991266i | \(0.542100\pi\) | |||||||
\(90\) | −2.36466 | − | 7.55071i | −0.249257 | − | 0.795915i | ||||
\(91\) | −5.77183 | + | 4.19348i | −0.605052 | + | 0.439596i | ||||
\(92\) | −2.35693 | + | 3.24403i | −0.245726 | + | 0.338213i | ||||
\(93\) | −0.195330 | + | 0.0634665i | −0.0202547 | + | 0.00658117i | ||||
\(94\) | 1.87794 | + | 5.77970i | 0.193694 | + | 0.596130i | ||||
\(95\) | −0.00661887 | + | 0.620677i | −0.000679081 | + | 0.0636801i | ||||
\(96\) | −0.776458 | + | 0.564130i | −0.0792469 | + | 0.0575763i | ||||
\(97\) | 10.3679 | + | 3.36873i | 1.05270 | + | 0.342043i | 0.783728 | − | 0.621105i | \(-0.213316\pi\) |
0.268973 | + | 0.963148i | \(0.413316\pi\) | |||||||
\(98\) | − | 0.388437i | − | 0.0392380i | ||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −0.785638 | + | 2.25326i | −0.0785638 | + | 0.225326i | ||||
\(101\) | −4.27625 | + | 13.1609i | −0.425503 | + | 1.30956i | 0.477009 | + | 0.878898i | \(0.341721\pi\) |
−0.902512 | + | 0.430665i | \(0.858279\pi\) | |||||||
\(102\) | −1.01675 | − | 1.39943i | −0.100673 | − | 0.138564i | ||||
\(103\) | 7.87039 | − | 10.8327i | 0.775492 | − | 1.06737i | −0.220273 | − | 0.975438i | \(-0.570695\pi\) |
0.995765 | − | 0.0919350i | \(-0.0293052\pi\) | |||||||
\(104\) | 2.60654 | + | 8.02211i | 0.255592 | + | 0.786633i | ||||
\(105\) | −1.25500 | + | 1.68919i | −0.122476 | + | 0.164848i | ||||
\(106\) | 8.70623 | + | 6.32544i | 0.845623 | + | 0.614381i | ||||
\(107\) | −6.03033 | − | 8.30004i | −0.582974 | − | 0.802395i | 0.411044 | − | 0.911616i | \(-0.365164\pi\) |
−0.994018 | + | 0.109221i | \(0.965164\pi\) | |||||||
\(108\) | 0.969384 | + | 0.314972i | 0.0932790 | + | 0.0303082i | ||||
\(109\) | −4.94262 | −0.473417 | −0.236708 | − | 0.971581i | \(-0.576069\pi\) | ||||
−0.236708 | + | 0.971581i | \(0.576069\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −0.190211 | −0.0180540 | ||||||||
\(112\) | 6.92882 | + | 2.25131i | 0.654712 | + | 0.212729i | ||||
\(113\) | 5.83323 | + | 8.02875i | 0.548744 | + | 0.755281i | 0.989841 | − | 0.142178i | \(-0.0454106\pi\) |
−0.441097 | + | 0.897459i | \(0.645411\pi\) | |||||||
\(114\) | 0.100869 | + | 0.0732854i | 0.00944722 | + | 0.00686380i | ||||
\(115\) | 15.0804 | + | 11.2042i | 1.40625 | + | 1.04479i | ||||
\(116\) | 0.490091 | + | 1.50835i | 0.0455038 | + | 0.140046i | ||||
\(117\) | 4.65075 | − | 6.40120i | 0.429962 | − | 0.591791i | ||||
\(118\) | −5.44519 | − | 7.49466i | −0.501270 | − | 0.689939i | ||||
\(119\) | 3.07709 | − | 9.47032i | 0.282077 | − | 0.868143i | ||||
\(120\) | 1.44086 | + | 2.02831i | 0.131532 | + | 0.185159i | ||||
\(121\) | 0 | 0 | ||||||||
\(122\) | 17.4969i | 1.58409i | ||||||||
\(123\) | 1.76957 | + | 0.574967i | 0.159556 | + | 0.0518430i | ||||
\(124\) | −0.217868 | + | 0.158291i | −0.0195652 | + | 0.0142149i | ||||
\(125\) | 10.5172 | + | 3.79325i | 0.940686 | + | 0.339279i | ||||
\(126\) | −2.82722 | − | 8.70128i | −0.251868 | − | 0.775171i | ||||
\(127\) | −10.5907 | + | 3.44113i | −0.939775 | + | 0.305351i | −0.738554 | − | 0.674195i | \(-0.764491\pi\) |
−0.201221 | + | 0.979546i | \(0.564491\pi\) | |||||||
\(128\) | 3.34779 | − | 4.60784i | 0.295906 | − | 0.407280i | ||||
\(129\) | −0.749294 | + | 0.544394i | −0.0659717 | + | 0.0479312i | ||||
\(130\) | 7.26574 | − | 2.27542i | 0.637247 | − | 0.199567i | ||||
\(131\) | −10.1649 | −0.888114 | −0.444057 | − | 0.895999i | \(-0.646461\pi\) | ||||
−0.444057 | + | 0.895999i | \(0.646461\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0.717734i | 0.0622354i | ||||||||
\(134\) | −1.22260 | + | 3.76277i | −0.105616 | + | 0.325054i | ||||
\(135\) | 1.52406 | − | 4.52578i | 0.131170 | − | 0.389517i | ||||
\(136\) | −9.52451 | − | 6.91996i | −0.816720 | − | 0.593382i | ||||
\(137\) | −4.13335 | + | 1.34301i | −0.353136 | + | 0.114741i | −0.480213 | − | 0.877152i | \(-0.659441\pi\) |
0.127077 | + | 0.991893i | \(0.459441\pi\) | |||||||
\(138\) | 3.58898 | − | 1.16613i | 0.305515 | − | 0.0992677i | ||||
\(139\) | 6.71683 | + | 4.88007i | 0.569714 | + | 0.413922i | 0.835001 | − | 0.550248i | \(-0.185467\pi\) |
−0.265287 | + | 0.964169i | \(0.585467\pi\) | |||||||
\(140\) | −0.880603 | + | 2.61500i | −0.0744246 | + | 0.221008i | ||||
\(141\) | −0.553922 | + | 1.70480i | −0.0466486 | + | 0.143570i | ||||
\(142\) | 10.3668i | 0.869960i | ||||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | −8.07981 | −0.673318 | ||||||||
\(145\) | 7.09102 | − | 2.22070i | 0.588877 | − | 0.184419i | ||||
\(146\) | −13.0134 | + | 9.45477i | −1.07700 | + | 0.782483i | ||||
\(147\) | 0.0673452 | − | 0.0926927i | 0.00555454 | − | 0.00764516i | ||||
\(148\) | −0.237201 | + | 0.0770713i | −0.0194978 | + | 0.00633522i | ||||
\(149\) | 2.61642 | + | 8.05250i | 0.214345 | + | 0.659687i | 0.999199 | + | 0.0400062i | \(0.0127378\pi\) |
−0.784854 | + | 0.619680i | \(0.787262\pi\) | |||||||
\(150\) | 1.84459 | − | 1.28098i | 0.150610 | − | 0.104591i | ||||
\(151\) | 8.98195 | − | 6.52577i | 0.730941 | − | 0.531060i | −0.158920 | − | 0.987291i | \(-0.550801\pi\) |
0.889861 | + | 0.456232i | \(0.150801\pi\) | |||||||
\(152\) | 0.807042 | + | 0.262224i | 0.0654598 | + | 0.0212692i | ||||
\(153\) | 11.0435i | 0.892814i | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 0.730700 | + | 1.02861i | 0.0586912 | + | 0.0826201i | ||||
\(156\) | −0.148121 | + | 0.455868i | −0.0118591 | + | 0.0364987i | ||||
\(157\) | 8.09159 | + | 11.1371i | 0.645779 | + | 0.888839i | 0.998907 | − | 0.0467360i | \(-0.0148819\pi\) |
−0.353128 | + | 0.935575i | \(0.614882\pi\) | |||||||
\(158\) | −7.03872 | + | 9.68796i | −0.559970 | + | 0.770733i | ||||
\(159\) | 0.980894 | + | 3.01888i | 0.0777899 | + | 0.239413i | ||||
\(160\) | 4.73282 | + | 3.51631i | 0.374162 | + | 0.277989i | ||||
\(161\) | 17.5747 | + | 12.7688i | 1.38508 | + | 1.00632i | ||||
\(162\) | 5.67580 | + | 7.81207i | 0.445933 | + | 0.613774i | ||||
\(163\) | 8.50333 | + | 2.76290i | 0.666032 | + | 0.216407i | 0.622470 | − | 0.782644i | \(-0.286129\pi\) |
0.0435624 | + | 0.999051i | \(0.486129\pi\) | |||||||
\(164\) | 2.43969 | 0.190508 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −4.06846 | −0.315774 | ||||||||
\(167\) | −16.0901 | − | 5.22800i | −1.24509 | − | 0.404555i | −0.388932 | − | 0.921266i | \(-0.627156\pi\) |
−0.856160 | + | 0.516712i | \(0.827156\pi\) | |||||||
\(168\) | 1.69099 | + | 2.32745i | 0.130463 | + | 0.179567i | ||||
\(169\) | −4.35761 | − | 3.16599i | −0.335201 | − | 0.243538i | ||||
\(170\) | −6.33754 | + | 8.53009i | −0.486067 | + | 0.654228i | ||||
\(171\) | −0.245977 | − | 0.757038i | −0.0188103 | − | 0.0578922i | ||||
\(172\) | −0.713819 | + | 0.982488i | −0.0544282 | + | 0.0749140i | ||||
\(173\) | 1.98665 | + | 2.73439i | 0.151042 | + | 0.207892i | 0.877833 | − | 0.478967i | \(-0.158989\pi\) |
−0.726790 | + | 0.686859i | \(0.758989\pi\) | |||||||
\(174\) | 0.461227 | − | 1.41951i | 0.0349656 | − | 0.107613i | ||||
\(175\) | 12.2072 | + | 4.25623i | 0.922775 | + | 0.321741i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | − | 2.73251i | − | 0.205388i | ||||||
\(178\) | 2.92018 | + | 0.948824i | 0.218877 | + | 0.0711174i | ||||
\(179\) | 11.1838 | − | 8.12550i | 0.835916 | − | 0.607328i | −0.0853110 | − | 0.996354i | \(-0.527188\pi\) |
0.921227 | + | 0.389026i | \(0.127188\pi\) | |||||||
\(180\) | 0.0326317 | − | 3.06000i | 0.00243222 | − | 0.228079i | ||||
\(181\) | −0.803137 | − | 2.47180i | −0.0596967 | − | 0.183728i | 0.916761 | − | 0.399436i | \(-0.130794\pi\) |
−0.976458 | + | 0.215708i | \(0.930794\pi\) | |||||||
\(182\) | 8.37288 | − | 2.72051i | 0.620639 | − | 0.201658i | ||||
\(183\) | −3.03352 | + | 4.17528i | −0.224244 | + | 0.308645i | ||||
\(184\) | 20.7785 | − | 15.0965i | 1.53181 | − | 1.11293i | ||||
\(185\) | 0.349225 | + | 1.11513i | 0.0256755 | + | 0.0819857i | ||||
\(186\) | 0.253440 | 0.0185831 | ||||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | 2.35039i | 0.171420i | ||||||||
\(189\) | 1.70638 | − | 5.25169i | 0.124121 | − | 0.382004i | ||||
\(190\) | 0.244448 | − | 0.725901i | 0.0177341 | − | 0.0526624i | ||||
\(191\) | −1.79466 | − | 1.30390i | −0.129857 | − | 0.0943465i | 0.520961 | − | 0.853581i | \(-0.325574\pi\) |
−0.650818 | + | 0.759234i | \(0.725574\pi\) | |||||||
\(192\) | 3.07716 | − | 0.999831i | 0.222075 | − | 0.0721566i | ||||
\(193\) | −9.96371 | + | 3.23741i | −0.717203 | + | 0.233034i | −0.644810 | − | 0.764343i | \(-0.723064\pi\) |
−0.0723931 | + | 0.997376i | \(0.523064\pi\) | |||||||
\(194\) | −10.8832 | − | 7.90707i | −0.781365 | − | 0.567695i | ||||
\(195\) | 2.12832 | + | 0.716713i | 0.152412 | + | 0.0513249i | ||||
\(196\) | 0.0464242 | − | 0.142879i | 0.00331602 | − | 0.0102057i | ||||
\(197\) | − | 1.32667i | − | 0.0945210i | −0.998883 | − | 0.0472605i | \(-0.984951\pi\) | ||
0.998883 | − | 0.0472605i | \(-0.0150491\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 5.20321 | 0.368846 | 0.184423 | − | 0.982847i | \(-0.440958\pi\) | ||||
0.184423 | + | 0.982847i | \(0.440958\pi\) | |||||||
\(200\) | 9.24573 | − | 12.1711i | 0.653772 | − | 0.860628i | ||||
\(201\) | −0.944118 | + | 0.685942i | −0.0665929 | + | 0.0483826i | ||||
\(202\) | 10.0372 | − | 13.8150i | 0.706215 | − | 0.972021i | ||||
\(203\) | 8.17154 | − | 2.65509i | 0.573530 | − | 0.186351i | ||||
\(204\) | −0.206737 | − | 0.636271i | −0.0144745 | − | 0.0445479i | ||||
\(205\) | 0.121887 | − | 11.4299i | 0.00851298 | − | 0.798295i | ||||
\(206\) | −13.3674 | + | 9.71200i | −0.931353 | + | 0.676667i | ||||
\(207\) | −22.9131 | − | 7.44493i | −1.59257 | − | 0.517458i | ||||
\(208\) | − | 7.77487i | − | 0.539090i | ||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 2.11700 | − | 1.50386i | 0.146087 | − | 0.103776i | ||||
\(211\) | −5.84553 | + | 17.9907i | −0.402423 | + | 1.23853i | 0.520605 | + | 0.853798i | \(0.325706\pi\) |
−0.923028 | + | 0.384733i | \(0.874294\pi\) | |||||||
\(212\) | 2.44643 | + | 3.36722i | 0.168022 | + | 0.231262i | ||||
\(213\) | −1.79734 | + | 2.47382i | −0.123152 | + | 0.169504i | ||||
\(214\) | 3.91217 | + | 12.0404i | 0.267430 | + | 0.823066i | ||||
\(215\) | 4.56725 | + | 3.39330i | 0.311484 | + | 0.231421i | ||||
\(216\) | −5.28174 | − | 3.83741i | −0.359377 | − | 0.261102i | ||||
\(217\) | 0.857548 | + | 1.18031i | 0.0582141 | + | 0.0801249i | ||||
\(218\) | 5.80064 | + | 1.88474i | 0.392869 | + | 0.127651i | ||||
\(219\) | −4.74460 | −0.320611 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −10.6267 | −0.714829 | ||||||||
\(222\) | 0.223231 | + | 0.0725322i | 0.0149823 | + | 0.00486804i | ||||
\(223\) | −12.8562 | − | 17.6950i | −0.860915 | − | 1.18495i | −0.981351 | − | 0.192226i | \(-0.938429\pi\) |
0.120436 | − | 0.992721i | \(-0.461571\pi\) | |||||||
\(224\) | 5.51564 | + | 4.00735i | 0.368529 | + | 0.267752i | ||||
\(225\) | −14.3343 | − | 0.305756i | −0.955622 | − | 0.0203837i | ||||
\(226\) | −3.78430 | − | 11.6469i | −0.251728 | − | 0.774738i | ||||
\(227\) | −1.43340 | + | 1.97291i | −0.0951383 | + | 0.130947i | −0.853932 | − | 0.520384i | \(-0.825789\pi\) |
0.758794 | + | 0.651331i | \(0.225789\pi\) | |||||||
\(228\) | 0.0283439 | + | 0.0390120i | 0.00187712 | + | 0.00258363i | ||||
\(229\) | −2.25619 | + | 6.94384i | −0.149093 | + | 0.458862i | −0.997515 | − | 0.0704596i | \(-0.977553\pi\) |
0.848421 | + | 0.529321i | \(0.177553\pi\) | |||||||
\(230\) | −13.4259 | − | 18.8997i | −0.885275 | − | 1.24621i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | − | 10.1584i | − | 0.666930i | ||||||
\(233\) | −4.24010 | − | 1.37769i | −0.277778 | − | 0.0902557i | 0.166815 | − | 0.985988i | \(-0.446652\pi\) |
−0.444593 | + | 0.895733i | \(0.646652\pi\) | |||||||
\(234\) | −7.89904 | + | 5.73899i | −0.516376 | + | 0.375169i | ||||
\(235\) | 11.0115 | + | 0.117426i | 0.718310 | + | 0.00766002i | ||||
\(236\) | −1.10718 | − | 3.40755i | −0.0720714 | − | 0.221813i | ||||
\(237\) | −3.35930 | + | 1.09150i | −0.218210 | + | 0.0709007i | ||||
\(238\) | −7.22254 | + | 9.94098i | −0.468168 | + | 0.644378i | ||||
\(239\) | −19.5578 | + | 14.2095i | −1.26509 | + | 0.919139i | −0.998996 | − | 0.0448086i | \(-0.985732\pi\) |
−0.266091 | + | 0.963948i | \(0.585732\pi\) | |||||||
\(240\) | −0.685370 | − | 2.18849i | −0.0442405 | − | 0.141266i | ||||
\(241\) | 12.0393 | 0.775522 | 0.387761 | − | 0.921760i | \(-0.373249\pi\) | ||||
0.387761 | + | 0.921760i | \(0.373249\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 9.25525i | 0.593725i | ||||||||
\(244\) | −2.09115 | + | 6.43589i | −0.133872 | + | 0.412016i | ||||
\(245\) | −0.667063 | − | 0.224634i | −0.0426171 | − | 0.0143513i | ||||
\(246\) | −1.85751 | − | 1.34956i | −0.118430 | − | 0.0860448i | ||||
\(247\) | 0.728467 | − | 0.236693i | 0.0463512 | − | 0.0150604i | ||||
\(248\) | 1.64049 | − | 0.533026i | 0.104171 | − | 0.0338472i | ||||
\(249\) | −0.970858 | − | 0.705369i | −0.0615256 | − | 0.0447010i | ||||
\(250\) | −10.8965 | − | 8.46222i | −0.689154 | − | 0.535197i | ||||
\(251\) | −0.165753 | + | 0.510135i | −0.0104622 | + | 0.0321995i | −0.956151 | − | 0.292873i | \(-0.905389\pi\) |
0.945689 | + | 0.325072i | \(0.105389\pi\) | |||||||
\(252\) | − | 3.53850i | − | 0.222904i | ||||||
\(253\) | 0 | 0 | ||||||||
\(254\) | 13.7414 | 0.862214 | ||||||||
\(255\) | −2.99123 | + | 0.936765i | −0.187318 | + | 0.0586625i | ||||
\(256\) | 8.69702 | − | 6.31875i | 0.543564 | − | 0.394922i | ||||
\(257\) | −13.9422 | + | 19.1898i | −0.869693 | + | 1.19703i | 0.109478 | + | 0.993989i | \(0.465082\pi\) |
−0.979170 | + | 0.203040i | \(0.934918\pi\) | |||||||
\(258\) | 1.08696 | − | 0.353175i | 0.0676712 | − | 0.0219877i | ||||
\(259\) | 0.417537 | + | 1.28505i | 0.0259445 | + | 0.0798490i | ||||
\(260\) | 2.94451 | + | 0.0314001i | 0.182611 | + | 0.00194735i | ||||
\(261\) | −7.70909 | + | 5.60098i | −0.477181 | + | 0.346692i | ||||
\(262\) | 11.9295 | + | 3.87614i | 0.737009 | + | 0.239469i | ||||
\(263\) | 4.97643i | 0.306860i | 0.988160 | + | 0.153430i | \(0.0490320\pi\) | ||||
−0.988160 | + | 0.153430i | \(0.950968\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 15.8975 | − | 11.2932i | 0.976576 | − | 0.693735i | ||||
\(266\) | 0.273690 | − | 0.842331i | 0.0167810 | − | 0.0516466i | ||||
\(267\) | 0.532340 | + | 0.732704i | 0.0325787 | + | 0.0448407i | ||||
\(268\) | −0.899419 | + | 1.23794i | −0.0549407 | + | 0.0756195i | ||||
\(269\) | −8.90111 | − | 27.3948i | −0.542710 | − | 1.67029i | −0.726373 | − | 0.687301i | \(-0.758795\pi\) |
0.183662 | − | 0.982989i | \(-0.441205\pi\) | |||||||
\(270\) | −3.51443 | + | 4.73029i | −0.213881 | + | 0.287876i | ||||
\(271\) | −13.0059 | − | 9.44935i | −0.790053 | − | 0.574007i | 0.117926 | − | 0.993022i | \(-0.462375\pi\) |
−0.907979 | + | 0.419015i | \(0.862375\pi\) | |||||||
\(272\) | 6.37844 | + | 8.77917i | 0.386750 | + | 0.532315i | ||||
\(273\) | 2.46969 | + | 0.802451i | 0.149472 | + | 0.0485665i | ||||
\(274\) | 5.36301 | 0.323992 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 1.45951 | 0.0878522 | ||||||||
\(277\) | 17.1226 | + | 5.56348i | 1.02880 | + | 0.334277i | 0.774315 | − | 0.632800i | \(-0.218095\pi\) |
0.254483 | + | 0.967077i | \(0.418095\pi\) | |||||||
\(278\) | −6.02197 | − | 8.28853i | −0.361174 | − | 0.497113i | ||||
\(279\) | −1.30902 | − | 0.951057i | −0.0783688 | − | 0.0569383i | ||||
\(280\) | 10.5402 | − | 14.1867i | 0.629898 | − | 0.847819i | ||||
\(281\) | −4.23816 | − | 13.0437i | −0.252828 | − | 0.778123i | −0.994250 | − | 0.107085i | \(-0.965848\pi\) |
0.741422 | − | 0.671039i | \(-0.234152\pi\) | |||||||
\(282\) | 1.30016 | − | 1.78952i | 0.0774235 | − | 0.106564i | ||||
\(283\) | −12.0522 | − | 16.5884i | −0.716429 | − | 0.986079i | −0.999635 | − | 0.0270204i | \(-0.991398\pi\) |
0.283206 | − | 0.959059i | \(-0.408602\pi\) | |||||||
\(284\) | −1.23899 | + | 3.81322i | −0.0735206 | + | 0.226273i | ||||
\(285\) | 0.184186 | − | 0.130841i | 0.0109102 | − | 0.00775034i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | − | 13.2172i | − | 0.780184i | ||||||
\(288\) | −7.19105 | − | 2.33652i | −0.423737 | − | 0.137680i | ||||
\(289\) | −1.75391 | + | 1.27429i | −0.103171 | + | 0.0749581i | ||||
\(290\) | −9.16881 | − | 0.0977756i | −0.538411 | − | 0.00574158i | ||||
\(291\) | −1.22616 | − | 3.77373i | −0.0718787 | − | 0.221220i | ||||
\(292\) | −5.91672 | + | 1.92246i | −0.346250 | + | 0.112503i | ||||
\(293\) | −13.1742 | + | 18.1327i | −0.769644 | + | 1.05932i | 0.226706 | + | 0.973963i | \(0.427204\pi\) |
−0.996350 | + | 0.0853614i | \(0.972796\pi\) | |||||||
\(294\) | −0.114382 | + | 0.0831035i | −0.00667090 | + | 0.00484669i | ||||
\(295\) | −16.0195 | + | 5.01685i | −0.932694 | + | 0.292092i | ||||
\(296\) | 1.59750 | 0.0928525 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | − | 10.4481i | − | 0.605242i | ||||||
\(299\) | 7.16395 | − | 22.0484i | 0.414302 | − | 1.27509i | ||||
\(300\) | 0.831596 | − | 0.250726i | 0.0480122 | − | 0.0144757i | ||||
\(301\) | 5.32268 | + | 3.86715i | 0.306794 | + | 0.222899i | ||||
\(302\) | −13.0296 | + | 4.23359i | −0.749772 | + | 0.243616i | ||||
\(303\) | 4.79035 | − | 1.55648i | 0.275199 | − | 0.0894174i | ||||
\(304\) | −0.632788 | − | 0.459748i | −0.0362929 | − | 0.0263683i | ||||
\(305\) | 30.0474 | + | 10.1185i | 1.72051 | + | 0.579382i | ||||
\(306\) | 4.21116 | − | 12.9606i | 0.240736 | − | 0.740909i | ||||
\(307\) | − | 20.3044i | − | 1.15883i | −0.815032 | − | 0.579416i | \(-0.803281\pi\) | ||
0.815032 | − | 0.579416i | \(-0.196719\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −4.87369 | −0.277254 | ||||||||
\(310\) | −0.465312 | − | 1.48581i | −0.0264280 | − | 0.0843884i | ||||
\(311\) | 7.08602 | − | 5.14830i | 0.401812 | − | 0.291933i | −0.368467 | − | 0.929641i | \(-0.620117\pi\) |
0.770278 | + | 0.637708i | \(0.220117\pi\) | |||||||
\(312\) | 1.80460 | − | 2.48382i | 0.102165 | − | 0.140619i | ||||
\(313\) | −1.64650 | + | 0.534980i | −0.0930656 | + | 0.0302389i | −0.355180 | − | 0.934798i | \(-0.615580\pi\) |
0.262114 | + | 0.965037i | \(0.415580\pi\) | |||||||
\(314\) | −5.24941 | − | 16.1560i | −0.296241 | − | 0.911737i | ||||
\(315\) | −16.5777 | − | 0.176784i | −0.934047 | − | 0.00996063i | ||||
\(316\) | −3.74692 | + | 2.72230i | −0.210781 | + | 0.153141i | ||||
\(317\) | −16.6211 | − | 5.40051i | −0.933531 | − | 0.303323i | −0.197525 | − | 0.980298i | \(-0.563290\pi\) |
−0.736006 | + | 0.676975i | \(0.763290\pi\) | |||||||
\(318\) | − | 3.91699i | − | 0.219654i | ||||||
\(319\) | 0 | 0 | ||||||||
\(320\) | −11.5112 | − | 16.2044i | −0.643496 | − | 0.905855i | ||||
\(321\) | −1.15394 | + | 3.55148i | −0.0644069 | + | 0.198224i | ||||
\(322\) | −15.7566 | − | 21.6870i | −0.878079 | − | 1.20857i | ||||
\(323\) | −0.628384 | + | 0.864896i | −0.0349642 | + | 0.0481241i | ||||
\(324\) | 1.15407 | + | 3.55187i | 0.0641151 | + | 0.197326i | ||||
\(325\) | 0.294216 | − | 13.7933i | 0.0163202 | − | 0.765116i | ||||
\(326\) | −8.92593 | − | 6.48507i | −0.494361 | − | 0.359175i | ||||
\(327\) | 1.05744 | + | 1.45544i | 0.0584766 | + | 0.0804861i | ||||
\(328\) | −14.8618 | − | 4.82889i | −0.820605 | − | 0.266631i | ||||
\(329\) | 12.7334 | 0.702014 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 12.6193 | 0.693620 | 0.346810 | − | 0.937935i | \(-0.387265\pi\) | ||||
0.346810 | + | 0.937935i | \(0.387265\pi\) | |||||||
\(332\) | −1.49651 | − | 0.486245i | −0.0821315 | − | 0.0266862i | ||||
\(333\) | −0.880805 | − | 1.21232i | −0.0482678 | − | 0.0664350i | ||||
\(334\) | 16.8898 | + | 12.2711i | 0.924167 | + | 0.671447i | ||||
\(335\) | 5.75477 | + | 4.27558i | 0.314417 | + | 0.233600i | ||||
\(336\) | −0.819437 | − | 2.52197i | −0.0447040 | − | 0.137585i | ||||
\(337\) | −6.97105 | + | 9.59482i | −0.379737 | + | 0.522663i | −0.955515 | − | 0.294943i | \(-0.904699\pi\) |
0.575778 | + | 0.817606i | \(0.304699\pi\) | |||||||
\(338\) | 3.90681 | + | 5.37726i | 0.212502 | + | 0.292484i | ||||
\(339\) | 1.11623 | − | 3.43540i | 0.0606252 | − | 0.186585i | ||||
\(340\) | −3.35062 | + | 2.38020i | −0.181713 | + | 0.129084i | ||||
\(341\) | 0 | 0 | ||||||||
\(342\) | 0.982255i | 0.0531143i | ||||||||
\(343\) | −17.9873 | − | 5.84442i | −0.971222 | − | 0.315569i | ||||
\(344\) | 6.29298 | − | 4.57212i | 0.339295 | − | 0.246512i | ||||
\(345\) | 0.0729173 | − | 6.83774i | 0.00392573 | − | 0.368132i | ||||
\(346\) | −1.28884 | − | 3.96664i | −0.0692884 | − | 0.213248i | ||||
\(347\) | 21.2124 | − | 6.89233i | 1.13874 | − | 0.370000i | 0.321850 | − | 0.946791i | \(-0.395695\pi\) |
0.816892 | + | 0.576791i | \(0.195695\pi\) | |||||||
\(348\) | 0.339308 | − | 0.467017i | 0.0181888 | − | 0.0250347i | ||||
\(349\) | −12.9183 | + | 9.38568i | −0.691499 | + | 0.502404i | −0.877153 | − | 0.480212i | \(-0.840560\pi\) |
0.185653 | + | 0.982615i | \(0.440560\pi\) | |||||||
\(350\) | −12.7033 | − | 9.65000i | −0.679020 | − | 0.515814i | ||||
\(351\) | −5.89295 | −0.314542 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 24.1406i | 1.28488i | 0.766337 | + | 0.642439i | \(0.222077\pi\) | ||||
−0.766337 | + | 0.642439i | \(0.777923\pi\) | |||||||
\(354\) | −1.04197 | + | 3.20687i | −0.0553803 | + | 0.170443i | ||||
\(355\) | 17.8029 | + | 5.99512i | 0.944878 | + | 0.318188i | ||||
\(356\) | 0.960734 | + | 0.698014i | 0.0509188 | + | 0.0369947i | ||||
\(357\) | −3.44703 | + | 1.12001i | −0.182436 | + | 0.0592771i | ||||
\(358\) | −16.2237 | + | 5.27141i | −0.857451 | + | 0.278603i | ||||
\(359\) | −16.4864 | − | 11.9781i | −0.870121 | − | 0.632180i | 0.0604986 | − | 0.998168i | \(-0.480731\pi\) |
−0.930619 | + | 0.365989i | \(0.880731\pi\) | |||||||
\(360\) | −6.25544 | + | 18.5759i | −0.329691 | + | 0.979035i | ||||
\(361\) | −5.84751 | + | 17.9968i | −0.307764 | + | 0.947199i | ||||
\(362\) | 3.20716i | 0.168564i | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 3.40495 | 0.178468 | ||||||||
\(365\) | 8.71103 | + | 27.8156i | 0.455956 | + | 1.45594i | ||||
\(366\) | 5.15227 | − | 3.74334i | 0.269313 | − | 0.195668i | ||||
\(367\) | 3.17657 | − | 4.37217i | 0.165815 | − | 0.228225i | −0.718021 | − | 0.696021i | \(-0.754952\pi\) |
0.883836 | + | 0.467796i | \(0.154952\pi\) | |||||||
\(368\) | −22.5151 | + | 7.31560i | −1.17368 | + | 0.381352i | ||||
\(369\) | 4.52969 | + | 13.9410i | 0.235806 | + | 0.725737i | ||||
\(370\) | 0.0153761 | − | 1.44188i | 0.000799365 | − | 0.0749596i | ||||
\(371\) | 18.2421 | − | 13.2537i | 0.947083 | − | 0.688096i | ||||
\(372\) | 0.0932230 | + | 0.0302900i | 0.00483339 | + | 0.00157046i | ||||
\(373\) | − | 17.0982i | − | 0.885311i | −0.896692 | − | 0.442656i | \(-0.854036\pi\) | ||
0.896692 | − | 0.442656i | \(-0.145964\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −1.13309 | − | 3.90852i | −0.0585127 | − | 0.201835i | ||||
\(376\) | 4.65214 | − | 14.3178i | 0.239916 | − | 0.738385i | ||||
\(377\) | −5.38960 | − | 7.41814i | −0.277578 | − | 0.382054i | ||||
\(378\) | −4.00520 | + | 5.51268i | −0.206005 | + | 0.283542i | ||||
\(379\) | 2.65506 | + | 8.17144i | 0.136381 | + | 0.419739i | 0.995802 | − | 0.0915300i | \(-0.0291757\pi\) |
−0.859421 | + | 0.511269i | \(0.829176\pi\) | |||||||
\(380\) | 0.176672 | − | 0.237794i | 0.00906308 | − | 0.0121986i | ||||
\(381\) | 3.27912 | + | 2.38242i | 0.167994 | + | 0.122055i | ||||
\(382\) | 1.60900 | + | 2.21460i | 0.0823235 | + | 0.113309i | ||||
\(383\) | 9.19632 | + | 2.98807i | 0.469910 | + | 0.152683i | 0.534394 | − | 0.845236i | \(-0.320540\pi\) |
−0.0644836 | + | 0.997919i | \(0.520540\pi\) | |||||||
\(384\) | −2.07310 | −0.105792 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 12.9279 | 0.658012 | ||||||||
\(387\) | −6.93948 | − | 2.25477i | −0.352754 | − | 0.114617i | ||||
\(388\) | −3.05814 | − | 4.20917i | −0.155254 | − | 0.213688i | ||||
\(389\) | −22.1423 | − | 16.0873i | −1.12266 | − | 0.815658i | −0.138048 | − | 0.990426i | \(-0.544083\pi\) |
−0.984610 | + | 0.174767i | \(0.944083\pi\) | |||||||
\(390\) | −2.22449 | − | 1.65272i | −0.112642 | − | 0.0836885i | ||||
\(391\) | 9.99897 | + | 30.7737i | 0.505669 | + | 1.55629i | ||||
\(392\) | −0.565602 | + | 0.778484i | −0.0285672 | + | 0.0393194i | ||||
\(393\) | 2.17472 | + | 2.99324i | 0.109700 | + | 0.150989i | ||||
\(394\) | −0.505891 | + | 1.55697i | −0.0254864 | + | 0.0784391i | ||||
\(395\) | 12.5666 | + | 17.6902i | 0.632296 | + | 0.890088i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | − | 10.6518i | − | 0.534596i | −0.963614 | − | 0.267298i | \(-0.913869\pi\) | ||
0.963614 | − | 0.267298i | \(-0.0861308\pi\) | |||||||
\(398\) | −6.10648 | − | 1.98411i | −0.306090 | − | 0.0994547i | ||||
\(399\) | 0.211350 | − | 0.153554i | 0.0105807 | − | 0.00768734i | ||||
\(400\) | −11.5719 | + | 8.03607i | −0.578593 | + | 0.401804i | ||||
\(401\) | 4.23805 | + | 13.0434i | 0.211638 | + | 0.651355i | 0.999375 | + | 0.0353433i | \(0.0112525\pi\) |
−0.787737 | + | 0.616011i | \(0.788748\pi\) | |||||||
\(402\) | 1.36958 | − | 0.445004i | 0.0683085 | − | 0.0221948i | ||||
\(403\) | 0.915163 | − | 1.25961i | 0.0455875 | − | 0.0627458i | ||||
\(404\) | 5.34310 | − | 3.88199i | 0.265829 | − | 0.193136i | ||||
\(405\) | 16.6980 | − | 5.22932i | 0.829730 | − | 0.259847i | ||||
\(406\) | −10.6026 | −0.526196 | ||||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | 4.28514i | 0.212146i | ||||||||
\(409\) | −6.89366 | + | 21.2165i | −0.340869 | + | 1.04909i | 0.622889 | + | 0.782310i | \(0.285959\pi\) |
−0.963758 | + | 0.266778i | \(0.914041\pi\) | |||||||
\(410\) | −4.50153 | + | 13.3676i | −0.222315 | + | 0.660177i | ||||
\(411\) | 1.27978 | + | 0.929812i | 0.0631267 | + | 0.0458642i | ||||
\(412\) | −6.07769 | + | 1.97476i | −0.299426 | + | 0.0972895i | ||||
\(413\) | −18.4606 | + | 5.99821i | −0.908386 | + | 0.295152i | ||||
\(414\) | 24.0519 | + | 17.4747i | 1.18208 | + | 0.858834i | ||||
\(415\) | −2.35280 | + | 6.98678i | −0.115494 | + | 0.342967i | ||||
\(416\) | 2.24833 | − | 6.91965i | 0.110234 | − | 0.339264i | ||||
\(417\) | − | 3.02195i | − | 0.147986i | ||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 0.510725 | 0.0249506 | 0.0124753 | − | 0.999922i | \(-0.496029\pi\) | ||||
0.0124753 | + | 0.999922i | \(0.496029\pi\) | |||||||
\(420\) | 0.958433 | − | 0.300153i | 0.0467668 | − | 0.0146460i | ||||
\(421\) | −10.6911 | + | 7.76757i | −0.521054 | + | 0.378568i | −0.817001 | − | 0.576636i | \(-0.804365\pi\) |
0.295947 | + | 0.955204i | \(0.404365\pi\) | |||||||
\(422\) | 13.7206 | − | 18.8848i | 0.667909 | − | 0.919297i | ||||
\(423\) | −13.4307 | + | 4.36389i | −0.653022 | + | 0.212180i | ||||
\(424\) | −8.23808 | − | 25.3542i | −0.400077 | − | 1.23131i | ||||
\(425\) | 10.9837 | + | 15.8164i | 0.532789 | + | 0.767209i | ||||
\(426\) | 3.05268 | − | 2.21790i | 0.147903 | − | 0.107458i | ||||
\(427\) | 34.8668 | + | 11.3289i | 1.68732 | + | 0.548244i | ||||
\(428\) | 4.89641i | 0.236677i | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −4.06616 | − | 5.72397i | −0.196088 | − | 0.276034i | ||||
\(431\) | 9.08706 | − | 27.9671i | 0.437708 | − | 1.34713i | −0.452577 | − | 0.891725i | \(-0.649495\pi\) |
0.890285 | − | 0.455403i | \(-0.150505\pi\) | |||||||
\(432\) | 3.53711 | + | 4.86841i | 0.170179 | + | 0.234232i | ||||
\(433\) | −6.00513 | + | 8.26535i | −0.288588 | + | 0.397207i | −0.928555 | − | 0.371195i | \(-0.878948\pi\) |
0.639967 | + | 0.768403i | \(0.278948\pi\) | |||||||
\(434\) | −0.556333 | − | 1.71222i | −0.0267048 | − | 0.0821890i | ||||
\(435\) | −2.17100 | − | 1.61297i | −0.104092 | − | 0.0773361i | ||||
\(436\) | 1.90840 | + | 1.38653i | 0.0913958 | + | 0.0664030i | ||||
\(437\) | −1.37087 | − | 1.88684i | −0.0655776 | − | 0.0902598i | ||||
\(438\) | 5.56825 | + | 1.80924i | 0.266061 | + | 0.0864486i | ||||
\(439\) | −1.53306 | −0.0731691 | −0.0365846 | − | 0.999331i | \(-0.511648\pi\) | ||||
−0.0365846 | + | 0.999331i | \(0.511648\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0.902638 | 0.0429827 | ||||||||
\(442\) | 12.4715 | + | 4.05223i | 0.593207 | + | 0.192745i | ||||
\(443\) | −1.99409 | − | 2.74462i | −0.0947419 | − | 0.130401i | 0.759014 | − | 0.651074i | \(-0.225681\pi\) |
−0.853756 | + | 0.520673i | \(0.825681\pi\) | |||||||
\(444\) | 0.0734426 | + | 0.0533592i | 0.00348543 | + | 0.00253231i | ||||
\(445\) | 3.31816 | − | 4.46612i | 0.157296 | − | 0.211714i | ||||
\(446\) | 8.34044 | + | 25.6692i | 0.394931 | + | 1.21547i | ||||
\(447\) | 1.81144 | − | 2.49323i | 0.0856781 | − | 0.117926i | ||||
\(448\) | −13.5095 | − | 18.5943i | −0.638265 | − | 0.878497i | ||||
\(449\) | 9.99672 | − | 30.7667i | 0.471774 | − | 1.45197i | −0.378485 | − | 0.925608i | \(-0.623555\pi\) |
0.850259 | − | 0.526365i | \(-0.176445\pi\) | |||||||
\(450\) | 16.7061 | + | 5.82487i | 0.787535 | + | 0.274587i | ||||
\(451\) | 0 | 0 | ||||||||
\(452\) | − | 4.73637i | − | 0.222780i | ||||||
\(453\) | −3.84326 | − | 1.24875i | −0.180572 | − | 0.0586714i | ||||
\(454\) | 2.43456 | − | 1.76881i | 0.114259 | − | 0.0830143i | ||||
\(455\) | 0.170112 | − | 15.9520i | 0.00797495 | − | 0.747843i | ||||
\(456\) | −0.0954449 | − | 0.293749i | −0.00446962 | − | 0.0137561i | ||||
\(457\) | −11.5772 | + | 3.76165i | −0.541558 | + | 0.175963i | −0.567006 | − | 0.823713i | \(-0.691899\pi\) |
0.0254487 | + | 0.999676i | \(0.491899\pi\) | |||||||
\(458\) | 5.29572 | − | 7.28893i | 0.247453 | − | 0.340589i | ||||
\(459\) | 6.65415 | − | 4.83453i | 0.310589 | − | 0.225656i | ||||
\(460\) | −2.67964 | − | 8.55650i | −0.124939 | − | 0.398949i | ||||
\(461\) | 16.5699 | 0.771739 | 0.385869 | − | 0.922553i | \(-0.373902\pi\) | ||||
0.385869 | + | 0.922553i | \(0.373902\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 14.6302i | 0.679924i | 0.940439 | + | 0.339962i | \(0.110414\pi\) | ||||
−0.940439 | + | 0.339962i | \(0.889586\pi\) | |||||||
\(464\) | −2.89346 | + | 8.90515i | −0.134325 | + | 0.413411i | ||||
\(465\) | 0.146565 | − | 0.435232i | 0.00679677 | − | 0.0201834i | ||||
\(466\) | 4.45083 | + | 3.23371i | 0.206180 | + | 0.149799i | ||||
\(467\) | 28.9933 | − | 9.42049i | 1.34165 | − | 0.435928i | 0.451774 | − | 0.892132i | \(-0.350791\pi\) |
0.889875 | + | 0.456204i | \(0.150791\pi\) | |||||||
\(468\) | −3.59141 | + | 1.16692i | −0.166013 | + | 0.0539409i | ||||
\(469\) | 6.70662 | + | 4.87265i | 0.309683 | + | 0.224998i | ||||
\(470\) | −12.8783 | − | 4.33677i | −0.594031 | − | 0.200040i | ||||
\(471\) | 1.54838 | − | 4.76543i | 0.0713457 | − | 0.219579i | ||||
\(472\) | 22.9491i | 1.05632i | ||||||||
\(473\) | 0 | 0 | ||||||||
\(474\) | 4.35868 | 0.200201 | ||||||||
\(475\) | −1.10523 | − | 0.839580i | −0.0507113 | − | 0.0385226i | ||||
\(476\) | −3.84478 | + | 2.79339i | −0.176225 | + | 0.128035i | ||||
\(477\) | −14.6989 | + | 20.2313i | −0.673015 | + | 0.926326i | ||||
\(478\) | 28.3714 | − | 9.21843i | 1.29768 | − | 0.421641i | ||||
\(479\) | 4.32602 | + | 13.3141i | 0.197661 | + | 0.608337i | 0.999935 | + | 0.0113818i | \(0.00362301\pi\) |
−0.802275 | + | 0.596955i | \(0.796377\pi\) | |||||||
\(480\) | 0.0228843 | − | 2.14596i | 0.00104452 | − | 0.0979490i | ||||
\(481\) | 1.16657 | − | 0.847562i | 0.0531910 | − | 0.0386455i | ||||
\(482\) | −14.1293 | − | 4.59090i | −0.643573 | − | 0.209110i | ||||
\(483\) | − | 7.90697i | − | 0.359780i | ||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −19.8726 | + | 14.1170i | −0.902367 | + | 0.641019i | ||||
\(486\) | 3.52926 | − | 10.8619i | 0.160090 | − | 0.492708i | ||||
\(487\) | 20.0617 | + | 27.6126i | 0.909084 | + | 1.25125i | 0.967478 | + | 0.252954i | \(0.0814021\pi\) |
−0.0583939 | + | 0.998294i | \(0.518598\pi\) | |||||||
\(488\) | 25.4771 | − | 35.0663i | 1.15330 | − | 1.58738i | ||||
\(489\) | −1.00565 | − | 3.09506i | −0.0454769 | − | 0.139964i | ||||
\(490\) | 0.697205 | + | 0.517997i | 0.0314965 | + | 0.0234007i | ||||
\(491\) | −2.58425 | − | 1.87757i | −0.116626 | − | 0.0847335i | 0.527944 | − | 0.849279i | \(-0.322963\pi\) |
−0.644569 | + | 0.764546i | \(0.722963\pi\) | |||||||
\(492\) | −0.521956 | − | 0.718411i | −0.0235316 | − | 0.0323885i | ||||
\(493\) | 12.1716 | + | 3.95478i | 0.548180 | + | 0.178114i | ||||
\(494\) | −0.945184 | −0.0425258 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −1.58993 | −0.0713898 | ||||||||
\(497\) | 20.6583 | + | 6.71229i | 0.926652 | + | 0.301087i | ||||
\(498\) | 0.870421 | + | 1.19803i | 0.0390045 | + | 0.0536851i | ||||
\(499\) | 5.28166 | + | 3.83735i | 0.236440 | + | 0.171784i | 0.699696 | − | 0.714441i | \(-0.253319\pi\) |
−0.463256 | + | 0.886225i | \(0.653319\pi\) | |||||||
\(500\) | −2.99670 | − | 4.41497i | −0.134017 | − | 0.197443i | ||||
\(501\) | 1.90290 | + | 5.85652i | 0.0850153 | + | 0.261650i | ||||
\(502\) | 0.389055 | − | 0.535488i | 0.0173644 | − | 0.0239000i | ||||
\(503\) | 0.590060 | + | 0.812148i | 0.0263095 | + | 0.0362119i | 0.821969 | − | 0.569532i | \(-0.192876\pi\) |
−0.795660 | + | 0.605744i | \(0.792876\pi\) | |||||||
\(504\) | −7.00375 | + | 21.5553i | −0.311972 | + | 0.960151i | ||||
\(505\) | −17.9200 | − | 25.2261i | −0.797430 | − | 1.12255i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 1.96052i | 0.0870697i | ||||||||
\(508\) | 5.05453 | + | 1.64232i | 0.224258 | + | 0.0728660i | ||||
\(509\) | −3.45775 | + | 2.51220i | −0.153262 | + | 0.111351i | −0.661773 | − | 0.749704i | \(-0.730196\pi\) |
0.508511 | + | 0.861055i | \(0.330196\pi\) | |||||||
\(510\) | 3.86771 | + | 0.0412451i | 0.171265 | + | 0.00182636i | ||||
\(511\) | 10.4150 | + | 32.0541i | 0.460733 | + | 1.41799i | ||||
\(512\) | −23.4500 | + | 7.61936i | −1.03635 | + | 0.336731i | ||||
\(513\) | −0.348465 | + | 0.479621i | −0.0153851 | + | 0.0211758i | ||||
\(514\) | 23.6801 | − | 17.2046i | 1.04449 | − | 0.758863i | ||||
\(515\) | 8.94802 | + | 28.5724i | 0.394297 | + | 1.25905i | ||||
\(516\) | 0.442028 | 0.0194592 | ||||||||
\(517\) | 0 | 0 | ||||||||
\(518\) | − | 1.66735i | − | 0.0732590i | ||||||
\(519\) | 0.380160 | − | 1.17001i | 0.0166872 | − | 0.0513578i | ||||
\(520\) | −17.8748 | − | 6.01935i | −0.783863 | − | 0.263966i | ||||
\(521\) | 7.99969 | + | 5.81212i | 0.350473 | + | 0.254634i | 0.749067 | − | 0.662494i | \(-0.230502\pi\) |
−0.398594 | + | 0.917127i | \(0.630502\pi\) | |||||||
\(522\) | 11.1832 | − | 3.63363i | 0.489474 | − | 0.159040i | ||||
\(523\) | 42.0053 | − | 13.6483i | 1.83676 | − | 0.596801i | 0.838077 | − | 0.545552i | \(-0.183680\pi\) |
0.998686 | − | 0.0512488i | \(-0.0163202\pi\) | |||||||
\(524\) | 3.92479 | + | 2.85153i | 0.171455 | + | 0.124570i | ||||
\(525\) | −1.35832 | − | 4.50521i | −0.0592820 | − | 0.196624i | ||||
\(526\) | 1.89764 | − | 5.84033i | 0.0827409 | − | 0.254650i | ||||
\(527\) | 2.17311i | 0.0946623i | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −47.5902 | −2.06914 | ||||||||
\(530\) | −22.9637 | + | 7.19154i | −0.997478 | + | 0.312381i | ||||
\(531\) | 17.4159 | − | 12.6534i | 0.755784 | − | 0.549109i | ||||
\(532\) | 0.201343 | − | 0.277125i | 0.00872934 | − | 0.0120149i | ||||
\(533\) | −13.4148 | + | 4.35874i | −0.581060 | + | 0.188798i | ||||
\(534\) | −0.345355 | − | 1.06289i | −0.0149450 | − | 0.0459959i | ||||
\(535\) | 22.9394 | + | 0.244625i | 0.991758 | + | 0.0105761i | ||||
\(536\) | 7.92922 | − | 5.76091i | 0.342490 | − | 0.248834i | ||||
\(537\) | −4.78540 | − | 1.55487i | −0.206505 | − | 0.0670976i | ||||
\(538\) | 35.5447i | 1.53244i | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −1.85806 | + | 1.31992i | −0.0799581 | + | 0.0568002i | ||||
\(541\) | 6.57265 | − | 20.2285i | 0.282580 | − | 0.869692i | −0.704533 | − | 0.709671i | \(-0.748844\pi\) |
0.987114 | − | 0.160021i | \(-0.0511564\pi\) | |||||||
\(542\) | 11.6604 | + | 16.0492i | 0.500859 | + | 0.689373i | ||||
\(543\) | −0.556040 | + | 0.765324i | −0.0238620 | + | 0.0328432i | ||||
\(544\) | 3.13807 | + | 9.65800i | 0.134544 | + | 0.414083i | ||||
\(545\) | 6.59119 | − | 8.87150i | 0.282336 | − | 0.380013i | ||||
\(546\) | −2.59243 | − | 1.88351i | −0.110946 | − | 0.0806067i | ||||
\(547\) | −2.42987 | − | 3.34442i | −0.103894 | − | 0.142997i | 0.753905 | − | 0.656984i | \(-0.228168\pi\) |
−0.857798 | + | 0.513987i | \(0.828168\pi\) | |||||||
\(548\) | 1.97268 | + | 0.640964i | 0.0842689 | + | 0.0273806i | ||||
\(549\) | −40.6587 | −1.73527 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −0.922455 | −0.0392979 | ||||||||
\(552\) | −8.89085 | − | 2.88881i | −0.378420 | − | 0.122956i | ||||
\(553\) | 14.7482 | + | 20.2991i | 0.627156 | + | 0.863207i | ||||
\(554\) | −17.9736 | − | 13.0586i | −0.763624 | − | 0.554805i | ||||
\(555\) | 0.253654 | − | 0.341409i | 0.0107670 | − | 0.0144920i | ||||
\(556\) | −1.22446 | − | 3.76850i | −0.0519286 | − | 0.159820i | ||||
\(557\) | 18.6135 | − | 25.6192i | 0.788678 | − | 1.08552i | −0.205593 | − | 0.978637i | \(-0.565912\pi\) |
0.994271 | − | 0.106885i | \(-0.0340876\pi\) | |||||||
\(558\) | 1.17360 | + | 1.61532i | 0.0496823 | + | 0.0683819i | ||||
\(559\) | 2.16968 | − | 6.67757i | 0.0917675 | − | 0.282431i | ||||
\(560\) | −13.2808 | + | 9.43431i | −0.561214 | + | 0.398673i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 16.9242i | 0.713904i | ||||||||
\(563\) | 12.1228 | + | 3.93895i | 0.510917 | + | 0.166007i | 0.553119 | − | 0.833102i | \(-0.313437\pi\) |
−0.0422024 | + | 0.999109i | \(0.513437\pi\) | |||||||
\(564\) | 0.692116 | − | 0.502852i | 0.0291433 | − | 0.0211739i | ||||
\(565\) | −22.1897 | − | 0.236629i | −0.933526 | − | 0.00995506i | ||||
\(566\) | 7.81885 | + | 24.0639i | 0.328651 | + | 1.01148i | ||||
\(567\) | 19.2424 | − | 6.25224i | 0.808106 | − | 0.262570i | ||||
\(568\) | 15.0950 | − | 20.7765i | 0.633373 | − | 0.871763i | ||||
\(569\) | −12.6491 | + | 9.19012i | −0.530279 | + | 0.385270i | −0.820462 | − | 0.571701i | \(-0.806284\pi\) |
0.290183 | + | 0.956971i | \(0.406284\pi\) | |||||||
\(570\) | −0.266053 | + | 0.0833199i | −0.0111437 | + | 0.00348988i | ||||
\(571\) | 3.61999 | 0.151492 | 0.0757460 | − | 0.997127i | \(-0.475866\pi\) | ||||
0.0757460 | + | 0.997127i | \(0.475866\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 0.807429i | 0.0337308i | ||||||||
\(574\) | −5.04003 | + | 15.5116i | −0.210367 | + | 0.647443i | ||||
\(575\) | −40.2207 | + | 12.1265i | −1.67732 | + | 0.505711i | ||||
\(576\) | 20.6218 | + | 14.9826i | 0.859243 | + | 0.624277i | ||||
\(577\) | −22.6686 | + | 7.36548i | −0.943707 | + | 0.306629i | −0.740156 | − | 0.672435i | \(-0.765248\pi\) |
−0.203551 | + | 0.979064i | \(0.565248\pi\) | |||||||
\(578\) | 2.54430 | − | 0.826693i | 0.105829 | − | 0.0343859i | ||||
\(579\) | 3.08498 | + | 2.24137i | 0.128207 | + | 0.0931482i | ||||
\(580\) | −3.36089 | − | 1.13178i | −0.139553 | − | 0.0469946i | ||||
\(581\) | −2.63426 | + | 8.10740i | −0.109287 | + | 0.336352i | ||||
\(582\) | 4.89641i | 0.202963i | ||||||||
\(583\) | 0 | 0 | ||||||||
\(584\) | 39.8478 | 1.64891 | ||||||||
\(585\) | 5.28754 | + | 16.8839i | 0.218613 | + | 0.698063i | ||||
\(586\) | 22.3757 | − | 16.2569i | 0.924330 | − | 0.671565i | ||||
\(587\) | 0.732956 | − | 1.00883i | 0.0302523 | − | 0.0416388i | −0.793623 | − | 0.608410i | \(-0.791808\pi\) |
0.823875 | + | 0.566771i | \(0.191808\pi\) | |||||||
\(588\) | −0.0520055 | + | 0.0168976i | −0.00214467 | + | 0.000696845i | ||||
\(589\) | −0.0484027 | − | 0.148968i | −0.00199440 | − | 0.00613813i | ||||
\(590\) | 20.7135 | + | 0.220888i | 0.852763 | + | 0.00909382i | ||||
\(591\) | −0.390660 | + | 0.283831i | −0.0160696 | + | 0.0116753i | ||||
\(592\) | −1.40041 | − | 0.455022i | −0.0575567 | − | 0.0187013i | ||||
\(593\) | 18.5288i | 0.760886i | 0.924804 | + | 0.380443i | \(0.124228\pi\) | ||||
−0.924804 | + | 0.380443i | \(0.875772\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 12.8948 | + | 18.1522i | 0.528637 | + | 0.744166i | ||||
\(596\) | 1.24871 | − | 3.84314i | 0.0511492 | − | 0.157421i | ||||
\(597\) | −1.11319 | − | 1.53218i | −0.0455600 | − | 0.0627079i | ||||
\(598\) | −16.8152 | + | 23.1441i | −0.687624 | + | 0.946433i | ||||
\(599\) | −10.4559 | − | 32.1798i | −0.427215 | − | 1.31483i | −0.900857 | − | 0.434115i | \(-0.857061\pi\) |
0.473643 | − | 0.880717i | \(-0.342939\pi\) | |||||||
\(600\) | −5.56206 | − | 0.118641i | −0.227070 | − | 0.00484348i | ||||
\(601\) | −17.2342 | − | 12.5213i | −0.702996 | − | 0.510756i | 0.177911 | − | 0.984047i | \(-0.443066\pi\) |
−0.880907 | + | 0.473290i | \(0.843066\pi\) | |||||||
\(602\) | −4.77204 | − | 6.56815i | −0.194494 | − | 0.267698i | ||||
\(603\) | −8.74381 | − | 2.84104i | −0.356075 | − | 0.115696i | ||||
\(604\) | −5.29869 | −0.215601 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −6.21547 | −0.252486 | ||||||||
\(607\) | −35.6267 | − | 11.5758i | −1.44604 | − | 0.469848i | −0.522268 | − | 0.852781i | \(-0.674914\pi\) |
−0.923776 | + | 0.382933i | \(0.874914\pi\) | |||||||
\(608\) | −0.430234 | − | 0.592166i | −0.0174483 | − | 0.0240155i | ||||
\(609\) | −2.53009 | − | 1.83822i | −0.102524 | − | 0.0744883i | ||||
\(610\) | −31.4051 | − | 23.3328i | −1.27156 | − | 0.944719i | ||||
\(611\) | −4.19920 | − | 12.9238i | −0.169881 | − | 0.522841i | ||||
\(612\) | 3.09799 | − | 4.26402i | 0.125229 | − | 0.172363i | ||||
\(613\) | 11.7585 | + | 16.1842i | 0.474920 | + | 0.653672i | 0.977519 | − | 0.210848i | \(-0.0676226\pi\) |
−0.502598 | + | 0.864520i | \(0.667623\pi\) | |||||||
\(614\) | −7.74257 | + | 23.8292i | −0.312465 | + | 0.961667i | ||||
\(615\) | −3.39180 | + | 2.40945i | −0.136771 | + | 0.0971584i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 34.7932i | 1.40072i | 0.713790 | + | 0.700360i | \(0.246977\pi\) | ||||
−0.713790 | + | 0.700360i | \(0.753023\pi\) | |||||||
\(618\) | 5.71975 | + | 1.85846i | 0.230082 | + | 0.0747582i | ||||
\(619\) | −37.2827 | + | 27.0875i | −1.49852 | + | 1.08874i | −0.527554 | + | 0.849522i | \(0.676891\pi\) |
−0.970966 | + | 0.239217i | \(0.923109\pi\) | |||||||
\(620\) | 0.00642118 | − | 0.602139i | 0.000257881 | − | 0.0241825i | ||||
\(621\) | 5.54484 | + | 17.0653i | 0.222507 | + | 0.684806i | ||||
\(622\) | −10.2793 | + | 3.33995i | −0.412163 | + | 0.133920i | ||||
\(623\) | 3.78152 | − | 5.20482i | 0.151504 | − | 0.208527i | ||||
\(624\) | −2.28945 | + | 1.66338i | −0.0916513 | + | 0.0665886i | ||||
\(625\) | −20.8336 | + | 13.8188i | −0.833345 | + | 0.552753i | ||||
\(626\) | 2.13633 | 0.0853849 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | − | 6.57008i | − | 0.262175i | ||||||
\(629\) | −0.621925 | + | 1.91409i | −0.0247978 | + | 0.0763197i | ||||
\(630\) | 19.3881 | + | 6.52896i | 0.772442 | + | 0.260120i | ||||
\(631\) | 16.6156 | + | 12.0719i | 0.661455 | + | 0.480575i | 0.867154 | − | 0.498040i | \(-0.165947\pi\) |
−0.205699 | + | 0.978615i | \(0.565947\pi\) | |||||||
\(632\) | 28.2132 | − | 9.16703i | 1.12226 | − | 0.364645i | ||||
\(633\) | 6.54830 | − | 2.12767i | 0.260271 | − | 0.0845673i | ||||
\(634\) | 17.4471 | + | 12.6760i | 0.692912 | + | 0.503430i | ||||
\(635\) | 7.94670 | − | 23.5982i | 0.315355 | − | 0.936465i | ||||
\(636\) | 0.468141 | − | 1.44079i | 0.0185630 | − | 0.0571311i | ||||
\(637\) | 0.868571i | 0.0344140i | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −24.0900 | −0.952985 | ||||||||
\(640\) | 3.80618 | + | 12.1537i | 0.150453 | + | 0.480417i | ||||
\(641\) | −12.8711 | + | 9.35139i | −0.508377 | + | 0.369358i | −0.812208 | − | 0.583369i | \(-0.801734\pi\) |
0.303831 | + | 0.952726i | \(0.401734\pi\) | |||||||
\(642\) | 2.70853 | − | 3.72798i | 0.106897 | − | 0.147132i | ||||
\(643\) | 40.2334 | − | 13.0726i | 1.58665 | − | 0.515534i | 0.622891 | − | 0.782309i | \(-0.285958\pi\) |
0.963759 | + | 0.266775i | \(0.0859581\pi\) | |||||||
\(644\) | −3.20381 | − | 9.86033i | −0.126248 | − | 0.388551i | ||||
\(645\) | 0.0220838 | − | 2.07088i | 0.000869547 | − | 0.0815409i | ||||
\(646\) | 1.06728 | − | 0.775421i | 0.0419914 | − | 0.0305085i | ||||
\(647\) | −7.12238 | − | 2.31420i | −0.280010 | − | 0.0909806i | 0.165646 | − | 0.986185i | \(-0.447029\pi\) |
−0.445655 | + | 0.895205i | \(0.647029\pi\) | |||||||
\(648\) | − | 23.9210i | − | 0.939707i | ||||||
\(649\) | 0 | 0 | ||||||||
\(650\) | −5.60503 | + | 16.0756i | −0.219847 | + | 0.630538i | ||||
\(651\) | 0.164098 | − | 0.505040i | 0.00643149 | − | 0.0197941i | ||||
\(652\) | −2.50817 | − | 3.45220i | −0.0982274 | − | 0.135198i | ||||
\(653\) | −9.68097 | + | 13.3247i | −0.378846 | + | 0.521436i | −0.955278 | − | 0.295708i | \(-0.904444\pi\) |
0.576433 | + | 0.817145i | \(0.304444\pi\) | |||||||
\(654\) | −0.686013 | − | 2.11133i | −0.0268252 | − | 0.0825596i | ||||
\(655\) | 13.5554 | − | 18.2450i | 0.529652 | − | 0.712892i | ||||
\(656\) | 11.6529 | + | 8.46631i | 0.454968 | + | 0.330554i | ||||
\(657\) | −21.9707 | − | 30.2401i | −0.857159 | − | 1.17978i | ||||
\(658\) | −14.9439 | − | 4.85556i | −0.582572 | − | 0.189289i | ||||
\(659\) | 23.7359 | 0.924619 | 0.462310 | − | 0.886719i | \(-0.347021\pi\) | ||||
0.462310 | + | 0.886719i | \(0.347021\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 13.4183 | 0.521911 | 0.260956 | − | 0.965351i | \(-0.415962\pi\) | ||||
0.260956 | + | 0.965351i | \(0.415962\pi\) | |||||||
\(662\) | −14.8100 | − | 4.81206i | −0.575607 | − | 0.187026i | ||||
\(663\) | 2.27351 | + | 3.12922i | 0.0882959 | + | 0.121529i | ||||
\(664\) | 8.15379 | + | 5.92408i | 0.316429 | + | 0.229899i | ||||
\(665\) | −1.28826 | − | 0.957129i | −0.0499566 | − | 0.0371159i | ||||
\(666\) | 0.571421 | + | 1.75865i | 0.0221421 | + | 0.0681464i | ||||
\(667\) | −16.4108 | + | 22.5876i | −0.635430 | + | 0.874594i | ||||
\(668\) | 4.74599 | + | 6.53230i | 0.183628 | + | 0.252742i | ||||
\(669\) | −2.46012 | + | 7.57147i | −0.0951138 | + | 0.292730i | ||||
\(670\) | −5.12340 | − | 7.21225i | −0.197934 | − | 0.278634i | ||||
\(671\) | 0 | 0 | ||||||||
\(672\) | − | 2.48152i | − | 0.0957268i | ||||||
\(673\) | 45.9237 | + | 14.9215i | 1.77023 | + | 0.575182i | 0.998176 | − | 0.0603771i | \(-0.0192303\pi\) |
0.772052 | + | 0.635559i | \(0.219230\pi\) | |||||||
\(674\) | 11.8399 | − | 8.60223i | 0.456058 | − | 0.331345i | ||||
\(675\) | 6.09093 | + | 8.77086i | 0.234440 | + | 0.337591i | ||||
\(676\) | 0.794379 | + | 2.44485i | 0.0305531 | + | 0.0940326i | ||||
\(677\) | 23.1713 | − | 7.52881i | 0.890545 | − | 0.289356i | 0.172216 | − | 0.985059i | \(-0.444907\pi\) |
0.718329 | + | 0.695704i | \(0.244907\pi\) | |||||||
\(678\) | −2.62000 | + | 3.60613i | −0.100621 | + | 0.138492i | ||||
\(679\) | −22.8034 | + | 16.5676i | −0.875114 | + | 0.635808i | ||||
\(680\) | 25.1220 | − | 7.86747i | 0.963384 | − | 0.301704i | ||||
\(681\) | 0.887625 | 0.0340139 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | − | 38.9856i | − | 1.49174i | −0.666090 | − | 0.745871i | \(-0.732034\pi\) | ||
0.666090 | − | 0.745871i | \(-0.267966\pi\) | |||||||
\(684\) | −0.117395 | + | 0.361304i | −0.00448870 | + | 0.0138148i | ||||
\(685\) | 3.10144 | − | 9.20991i | 0.118500 | − | 0.351892i | ||||
\(686\) | 18.8812 | + | 13.7180i | 0.720888 | + | 0.523756i | ||||
\(687\) | 2.52743 | − | 0.821213i | 0.0964277 | − | 0.0313312i | ||||
\(688\) | −6.81893 | + | 2.21560i | −0.259969 | + | 0.0844691i | ||||
\(689\) | −19.4677 | − | 14.1441i | −0.741661 | − | 0.538848i | ||||
\(690\) | −2.69298 | + | 7.99695i | −0.102520 | + | 0.304439i | ||||
\(691\) | 1.82893 | − | 5.62887i | 0.0695758 | − | 0.214132i | −0.910223 | − | 0.414119i | \(-0.864090\pi\) |
0.979799 | + | 0.199987i | \(0.0640898\pi\) | |||||||
\(692\) | − | 1.61309i | − | 0.0613205i | ||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −27.5230 | −1.04476 | ||||||||
\(695\) | −17.7164 | + | 5.54826i | −0.672022 | + | 0.210458i | ||||
\(696\) | −2.99131 | + | 2.17332i | −0.113385 | + | 0.0823794i | ||||
\(697\) | 11.5718 | − | 15.9272i | 0.438312 | − | 0.603284i | ||||
\(698\) | 18.7398 | − | 6.08895i | 0.709314 | − | 0.230470i | ||||
\(699\) | 0.501456 | + | 1.54332i | 0.0189668 | + | 0.0583738i | ||||
\(700\) | −3.51934 | − | 5.06781i | −0.133019 | − | 0.191545i | ||||
\(701\) | 9.68170 | − | 7.03416i | 0.365673 | − | 0.265677i | −0.389742 | − | 0.920924i | \(-0.627436\pi\) |
0.755414 | + | 0.655248i | \(0.227436\pi\) | |||||||
\(702\) | 6.91595 | + | 2.24713i | 0.261026 | + | 0.0848124i | ||||
\(703\) | − | 0.145064i | − | 0.00547120i | ||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −2.32126 | − | 3.26765i | −0.0874236 | − | 0.123067i | ||||
\(706\) | 9.20543 | − | 28.3314i | 0.346451 | − | 1.06627i | ||||
\(707\) | −21.0309 | − | 28.9465i | −0.790948 | − | 1.08865i | ||||
\(708\) | −0.766541 | + | 1.05505i | −0.0288084 | + | 0.0396513i | ||||
\(709\) | −2.10394 | − | 6.47527i | −0.0790152 | − | 0.243184i | 0.903744 | − | 0.428073i | \(-0.140807\pi\) |
−0.982759 | + | 0.184889i | \(0.940807\pi\) | |||||||
\(710\) | −18.6073 | − | 13.8245i | −0.698320 | − | 0.518826i | ||||
\(711\) | −22.5126 | − | 16.3564i | −0.844288 | − | 0.613411i | ||||
\(712\) | −4.47089 | − | 6.15365i | −0.167554 | − | 0.230618i | ||||
\(713\) | −4.50879 | − | 1.46499i | −0.168856 | − | 0.0548645i | ||||
\(714\) | 4.47251 | 0.167380 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −6.59761 | −0.246564 | ||||||||
\(717\) | 8.36851 | + | 2.71909i | 0.312528 | + | 0.101546i | ||||
\(718\) | 14.7809 | + | 20.3442i | 0.551618 | + | 0.759237i | ||||
\(719\) | −7.49482 | − | 5.44531i | −0.279510 | − | 0.203076i | 0.439194 | − | 0.898392i | \(-0.355264\pi\) |
−0.718703 | + | 0.695317i | \(0.755264\pi\) | |||||||
\(720\) | 10.7748 | − | 14.5024i | 0.401552 | − | 0.540474i | ||||
\(721\) | 10.6984 | + | 32.9262i | 0.398428 | + | 1.22624i | ||||
\(722\) | 13.7252 | − | 18.8912i | 0.510801 | − | 0.703057i | ||||
\(723\) | −2.57574 | − | 3.54520i | −0.0957927 | − | 0.131847i | ||||
\(724\) | −0.383305 | + | 1.17969i | −0.0142454 | + | 0.0438429i | ||||
\(725\) | −5.47025 | + | 15.6891i | −0.203160 | + | 0.582677i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 19.4121i | 0.719956i | 0.932961 | + | 0.359978i | \(0.117216\pi\) | ||||
−0.932961 | + | 0.359978i | \(0.882784\pi\) | |||||||
\(728\) | −20.7418 | − | 6.73942i | −0.768742 | − | 0.249780i | ||||
\(729\) | −16.2668 | + | 11.8185i | −0.602474 | + | 0.437723i | ||||
\(730\) | 0.383540 | − | 35.9661i | 0.0141954 | − | 1.33116i | ||||
\(731\) | 3.02829 | + | 9.32012i | 0.112005 | + | 0.344717i | ||||
\(732\) | 2.34255 | − | 0.761141i | 0.0865832 | − | 0.0281326i | ||||
\(733\) | 6.79600 | − | 9.35389i | 0.251016 | − | 0.345494i | −0.664851 | − | 0.746976i | \(-0.731505\pi\) |
0.915867 | + | 0.401482i | \(0.131505\pi\) | |||||||
\(734\) | −5.39523 | + | 3.91986i | −0.199142 | + | 0.144685i | ||||
\(735\) | 0.0765663 | + | 0.244487i | 0.00282419 | + | 0.00901805i | ||||
\(736\) | −22.1540 | −0.816608 | ||||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | − | 18.0884i | − | 0.665842i | ||||||
\(739\) | 2.81433 | − | 8.66162i | 0.103527 | − | 0.318623i | −0.885855 | − | 0.463962i | \(-0.846427\pi\) |
0.989382 | + | 0.145339i | \(0.0464274\pi\) | |||||||
\(740\) | 0.177983 | − | 0.528530i | 0.00654277 | − | 0.0194291i | ||||
\(741\) | −0.225549 | − | 0.163871i | −0.00828576 | − | 0.00601995i | ||||
\(742\) | −26.4628 | + | 8.59830i | −0.971481 | + | 0.315653i | ||||
\(743\) | −0.0695230 | + | 0.0225894i | −0.00255055 | + | 0.000828724i | −0.310292 | − | 0.950641i | \(-0.600427\pi\) |
0.307741 | + | 0.951470i | \(0.400427\pi\) | |||||||
\(744\) | −0.507930 | − | 0.369033i | −0.0186216 | − | 0.0135294i | ||||
\(745\) | −17.9425 | − | 6.04216i | −0.657363 | − | 0.221367i | ||||
\(746\) | −6.51997 | + | 20.0664i | −0.238713 | + | 0.734683i | ||||
\(747\) | − | 9.45417i | − | 0.345910i | ||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 26.5265 | 0.969258 | ||||||||
\(750\) | −0.160619 | + | 5.01910i | −0.00586497 | + | 0.183272i | ||||
\(751\) | 31.1665 | − | 22.6438i | 1.13728 | − | 0.826283i | 0.150543 | − | 0.988603i | \(-0.451898\pi\) |
0.986738 | + | 0.162320i | \(0.0518978\pi\) | |||||||
\(752\) | −8.15642 | + | 11.2264i | −0.297434 | + | 0.409383i | ||||
\(753\) | 0.185680 | − | 0.0603312i | 0.00676656 | − | 0.00219859i | ||||
\(754\) | 3.49649 | + | 10.7611i | 0.127335 | + | 0.391896i | ||||
\(755\) | −0.264723 | + | 24.8241i | −0.00963425 | + | 0.903442i | ||||
\(756\) | −2.13209 | + | 1.54905i | −0.0775433 | + | 0.0563385i | ||||
\(757\) | 26.7834 | + | 8.70244i | 0.973458 | + | 0.316296i | 0.752211 | − | 0.658922i | \(-0.228987\pi\) |
0.221247 | + | 0.975218i | \(0.428987\pi\) | |||||||
\(758\) | − | 10.6024i | − | 0.385097i | ||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −1.54689 | + | 1.09887i | −0.0561116 | + | 0.0398603i | ||||
\(761\) | 9.11274 | − | 28.0461i | 0.330336 | − | 1.01667i | −0.638637 | − | 0.769508i | \(-0.720502\pi\) |
0.968974 | − | 0.247163i | \(-0.0794984\pi\) | |||||||
\(762\) | −2.93989 | − | 4.04641i | −0.106501 | − | 0.146586i | ||||
\(763\) | 7.51162 | − | 10.3389i | 0.271939 | − | 0.374292i | ||||
\(764\) | 0.327161 | + | 1.00690i | 0.0118363 | + | 0.0364283i | ||||
\(765\) | −19.8220 | − | 14.7270i | −0.716665 | − | 0.532455i | ||||
\(766\) | −9.65336 | − | 7.01357i | −0.348790 | − | 0.253411i | ||||
\(767\) | 12.1758 | + | 16.7586i | 0.439643 | + | 0.605117i | ||||
\(768\) | −3.72134 | − | 1.20914i | −0.134282 | − | 0.0436310i | ||||
\(769\) | 8.42410 | 0.303781 | 0.151890 | − | 0.988397i | \(-0.451464\pi\) | ||||
0.151890 | + | 0.988397i | \(0.451464\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 8.63364 | 0.310933 | ||||||||
\(772\) | 4.75528 | + | 1.54508i | 0.171146 | + | 0.0556088i | ||||
\(773\) | 0.527527 | + | 0.726079i | 0.0189738 | + | 0.0261153i | 0.818399 | − | 0.574651i | \(-0.194862\pi\) |
−0.799425 | + | 0.600766i | \(0.794862\pi\) | |||||||
\(774\) | 7.28435 | + | 5.29239i | 0.261831 | + | 0.190231i | ||||
\(775\) | −2.82067 | − | 0.0601658i | −0.101322 | − | 0.00216122i | ||||
\(776\) | 10.2980 | + | 31.6939i | 0.369675 | + | 1.13774i | ||||
\(777\) | 0.289076 | − | 0.397879i | 0.0103705 | − | 0.0142738i | ||||
\(778\) | 19.8516 | + | 27.3234i | 0.711715 | + | 0.979592i | ||||
\(779\) | −0.438499 | + | 1.34956i | −0.0157108 | + | 0.0483530i | ||||
\(780\) | −0.620713 | − | 0.873782i | −0.0222251 | − | 0.0312864i | ||||
\(781\) | 0 | 0 | ||||||||
\(782\) | − | 39.9287i | − | 1.42785i | ||||||
\(783\) | 6.74964 | + | 2.19309i | 0.241212 | + | 0.0783747i | ||||
\(784\) | 0.717563 | − | 0.521340i | 0.0256273 | − | 0.0186193i | ||||
\(785\) | −30.7805 | − | 0.328241i | −1.09860 | − | 0.0117154i | ||||
\(786\) | −1.41085 | − | 4.34214i | −0.0503232 | − | 0.154879i | ||||
\(787\) | −35.9506 | + | 11.6811i | −1.28150 | + | 0.416385i | −0.869108 | − | 0.494622i | \(-0.835306\pi\) |
−0.412392 | + | 0.911007i | \(0.635306\pi\) | |||||||
\(788\) | −0.372165 | + | 0.512241i | −0.0132578 | + | 0.0182478i | ||||
\(789\) | 1.46540 | − | 1.06468i | 0.0521696 | − | 0.0379034i | ||||
\(790\) | −8.00248 | − | 25.5531i | −0.284715 | − | 0.909138i | ||||
\(791\) | −25.6595 | −0.912346 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | − | 39.1242i | − | 1.38934i | ||||||
\(794\) | −4.06178 | + | 12.5009i | −0.144147 | + | 0.443639i | ||||
\(795\) | −6.72665 | − | 2.26520i | −0.238570 | − | 0.0803385i | ||||
\(796\) | −2.00902 | − | 1.45964i | −0.0712078 | − | 0.0517355i | ||||
\(797\) | −14.4471 | + | 4.69415i | −0.511743 | + | 0.166275i | −0.553495 | − | 0.832853i | \(-0.686706\pi\) |
0.0417519 | + | 0.999128i | \(0.486706\pi\) | |||||||
\(798\) | −0.306593 | + | 0.0996182i | −0.0108533 | + | 0.00352645i | ||||
\(799\) | 15.3442 | + | 11.1482i | 0.542839 | + | 0.394395i | ||||
\(800\) | −12.6228 | + | 3.80579i | −0.446285 | + | 0.134555i | ||||
\(801\) | −2.20485 | + | 6.78583i | −0.0779045 | + | 0.239765i | ||||
\(802\) | − | 16.9237i | − | 0.597598i | ||||||
\(803\) | 0 | 0 | ||||||||
\(804\) | 0.556959 | 0.0196424 | ||||||||
\(805\) | −46.3552 | + | 14.5171i | −1.63381 | + | 0.511660i | ||||
\(806\) | −1.55435 | + | 1.12930i | −0.0547498 | + | 0.0397781i | ||||
\(807\) | −6.16255 | + | 8.48203i | −0.216932 | + | 0.298582i | ||||
\(808\) | −40.2320 | + | 13.0722i | −1.41536 | + | 0.459877i | ||||
\(809\) | −12.2713 | − | 37.7673i | −0.431437 | − | 1.32783i | −0.896694 | − | 0.442652i | \(-0.854038\pi\) |
0.465256 | − | 0.885176i | \(-0.345962\pi\) | |||||||
\(810\) | −21.5908 | − | 0.230243i | −0.758624 | − | 0.00808992i | ||||
\(811\) | 7.13293 | − | 5.18238i | 0.250471 | − | 0.181978i | −0.455464 | − | 0.890254i | \(-0.650527\pi\) |
0.705936 | + | 0.708276i | \(0.250527\pi\) | |||||||
\(812\) | −3.89995 | − | 1.26717i | −0.136861 | − | 0.0444689i | ||||
\(813\) | 5.85145i | 0.205219i | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −16.2987 | + | 11.5782i | −0.570918 | + | 0.405566i | ||||
\(816\) | 1.22056 | − | 3.75649i | 0.0427281 | − | 0.131504i | ||||
\(817\) | −0.415182 | − | 0.571449i | −0.0145254 | − | 0.0199925i | ||||
\(818\) | 16.1808 | − | 22.2709i | 0.565747 | − | 0.778684i | ||||
\(819\) | 6.32185 | + | 19.4566i | 0.220903 | + | 0.679870i | ||||
\(820\) | −3.25344 | + | 4.37900i | −0.113615 | + | 0.152921i | ||||
\(821\) | −6.81249 | − | 4.94956i | −0.237758 | − | 0.172741i | 0.462526 | − | 0.886606i | \(-0.346943\pi\) |
−0.700284 | + | 0.713865i | \(0.746943\pi\) | |||||||
\(822\) | −1.14738 | − | 1.57924i | −0.0400195 | − | 0.0550822i | ||||
\(823\) | −22.7341 | − | 7.38675i | −0.792460 | − | 0.257486i | −0.115309 | − | 0.993330i | \(-0.536786\pi\) |
−0.677151 | + | 0.735844i | \(0.736786\pi\) | |||||||
\(824\) | 40.9319 | 1.42593 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 23.9526 | 0.833416 | ||||||||
\(827\) | 45.1865 | + | 14.6820i | 1.57129 | + | 0.510542i | 0.959793 | − | 0.280707i | \(-0.0905690\pi\) |
0.611494 | + | 0.791249i | \(0.290569\pi\) | |||||||
\(828\) | 6.75852 | + | 9.30231i | 0.234875 | + | 0.323278i | ||||
\(829\) | −22.8145 | − | 16.5757i | −0.792381 | − | 0.575699i | 0.116288 | − | 0.993216i | \(-0.462900\pi\) |
−0.908669 | + | 0.417517i | \(0.862900\pi\) | |||||||
\(830\) | 5.42547 | − | 7.30248i | 0.188321 | − | 0.253473i | ||||
\(831\) | −2.02501 | − | 6.23233i | −0.0702467 | − | 0.216197i | ||||
\(832\) | −14.4172 | + | 19.8435i | −0.499826 | + | 0.687951i | ||||
\(833\) | −0.712569 | − | 0.980767i | −0.0246890 | − | 0.0339816i | ||||
\(834\) | −1.15234 | + | 3.54655i | −0.0399024 | + | 0.122807i | ||||
\(835\) | 30.8406 | − | 21.9084i | 1.06728 | − | 0.758171i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 1.20508i | 0.0416537i | ||||||||
\(838\) | −0.599386 | − | 0.194752i | −0.0207054 | − | 0.00672761i | ||||
\(839\) | 18.0739 | − | 13.1315i | 0.623982 | − | 0.453349i | −0.230328 | − | 0.973113i | \(-0.573980\pi\) |
0.854310 | + | 0.519764i | \(0.173980\pi\) | |||||||
\(840\) | −6.43255 | − | 0.0685963i | −0.221944 | − | 0.00236680i | ||||
\(841\) | −5.54908 | − | 17.0783i | −0.191348 | − | 0.588907i | ||||
\(842\) | 15.5091 | − | 5.03920i | 0.534477 | − | 0.173662i | ||||
\(843\) | −2.93423 | + | 4.03862i | −0.101060 | + | 0.139098i | ||||
\(844\) | 7.30389 | − | 5.30659i | 0.251410 | − | 0.182660i | ||||
\(845\) | 11.4937 | − | 3.59949i | 0.395395 | − | 0.123826i | ||||
\(846\) | 17.4263 | 0.599128 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 24.5728i | 0.843833i | ||||||||
\(849\) | −2.30627 | + | 7.09797i | −0.0791510 | + | 0.243602i | ||||
\(850\) | −6.85927 | − | 22.7505i | −0.235271 | − | 0.780335i | ||||
\(851\) | −3.55210 | − | 2.58075i | −0.121764 | − | 0.0884670i | ||||
\(852\) | 1.38795 | − | 0.450971i | 0.0475502 | − | 0.0154500i | ||||
\(853\) | 7.75363 | − | 2.51931i | 0.265479 | − | 0.0862594i | −0.173253 | − | 0.984877i | \(-0.555428\pi\) |
0.438732 | + | 0.898618i | \(0.355428\pi\) | |||||||
\(854\) | −36.5996 | − | 26.5911i | −1.25241 | − | 0.909930i | ||||
\(855\) | 1.68683 | + | 0.568040i | 0.0576883 | + | 0.0194266i | ||||
\(856\) | 9.69146 | − | 29.8272i | 0.331247 | − | 1.01947i | ||||
\(857\) | − | 4.42433i | − | 0.151132i | −0.997141 | − | 0.0755662i | \(-0.975924\pi\) | ||
0.997141 | − | 0.0755662i | \(-0.0240764\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −2.90501 | −0.0991176 | −0.0495588 | − | 0.998771i | \(-0.515782\pi\) | ||||
−0.0495588 | + | 0.998771i | \(0.515782\pi\) | |||||||
\(860\) | −0.811558 | − | 2.59142i | −0.0276739 | − | 0.0883668i | ||||
\(861\) | −3.89203 | + | 2.82772i | −0.132640 | + | 0.0963686i | ||||
\(862\) | −21.3291 | + | 29.3570i | −0.726472 | + | 0.999904i | ||||
\(863\) | −16.8433 | + | 5.47271i | −0.573352 | + | 0.186293i | −0.581320 | − | 0.813675i | \(-0.697464\pi\) |
0.00796833 | + | 0.999968i | \(0.497464\pi\) | |||||||
\(864\) | 1.74019 | + | 5.35576i | 0.0592025 | + | 0.182207i | ||||
\(865\) | −7.55725 | − | 0.0805901i | −0.256954 | − | 0.00274014i | ||||
\(866\) | 10.1994 | − | 7.41029i | 0.346589 | − | 0.251812i | ||||
\(867\) | 0.750474 | + | 0.243844i | 0.0254874 | + | 0.00828137i | ||||
\(868\) | − | 0.696297i | − | 0.0236339i | ||||||
\(869\) | 0 | 0 | ||||||||
\(870\) | 1.93281 | + | 2.72084i | 0.0655285 | + | 0.0922450i | ||||
\(871\) | 2.73381 | − | 8.41381i | 0.0926317 | − | 0.285091i | ||||
\(872\) | −8.88096 | − | 12.2236i | −0.300747 | − | 0.413943i | ||||
\(873\) | 18.3742 | − | 25.2899i | 0.621873 | − | 0.855935i | ||||
\(874\) | 0.889350 | + | 2.73714i | 0.0300827 | + | 0.0925851i | ||||
\(875\) | −23.9183 | + | 16.2348i | −0.808586 | + | 0.548835i | ||||
\(876\) | 1.83195 | + | 1.33099i | 0.0618957 | + | 0.0449699i | ||||
\(877\) | 30.2003 | + | 41.5671i | 1.01979 | + | 1.40362i | 0.912350 | + | 0.409411i | \(0.134266\pi\) |
0.107442 | + | 0.994211i | \(0.465734\pi\) | |||||||
\(878\) | 1.79920 | + | 0.584595i | 0.0607200 | + | 0.0197291i | ||||
\(879\) | 8.15803 | 0.275164 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 33.6727 | 1.13446 | 0.567231 | − | 0.823559i | \(-0.308015\pi\) | ||||
0.567231 | + | 0.823559i | \(0.308015\pi\) | |||||||
\(882\) | −1.05933 | − | 0.344198i | −0.0356696 | − | 0.0115898i | ||||
\(883\) | −8.17643 | − | 11.2539i | −0.275159 | − | 0.378724i | 0.648964 | − | 0.760819i | \(-0.275203\pi\) |
−0.924123 | + | 0.382095i | \(0.875203\pi\) | |||||||
\(884\) | 4.10309 | + | 2.98107i | 0.138002 | + | 0.100264i | ||||
\(885\) | 4.90458 | + | 3.64392i | 0.164866 | + | 0.122489i | ||||
\(886\) | 1.29366 | + | 3.98148i | 0.0434614 | + | 0.133760i | ||||
\(887\) | −26.2744 | + | 36.1636i | −0.882207 | + | 1.21425i | 0.0935978 | + | 0.995610i | \(0.470163\pi\) |
−0.975805 | + | 0.218644i | \(0.929837\pi\) | |||||||
\(888\) | −0.341774 | − | 0.470411i | −0.0114692 | − | 0.0157860i | ||||
\(889\) | 8.89733 | − | 27.3832i | 0.298407 | − | 0.918401i | ||||
\(890\) | −5.59723 | + | 3.97613i | −0.187620 | + | 0.133280i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 10.4388i | 0.349516i | ||||||||
\(893\) | −1.30016 | − | 0.422448i | −0.0435083 | − | 0.0141367i | ||||
\(894\) | −3.07663 | + | 2.23530i | −0.102898 | + | 0.0747597i | ||||
\(895\) | −0.329617 | + | 30.9095i | −0.0110179 | + | 1.03319i | ||||
\(896\) | 4.55072 | + | 14.0057i | 0.152029 | + | 0.467897i | ||||
\(897\) | −8.02521 | + | 2.60755i | −0.267954 | + | 0.0870636i | ||||
\(898\) | −23.4643 | + | 32.2958i | −0.783012 | + | 1.07772i | ||||
\(899\) | −1.51698 | + | 1.10215i | −0.0505940 | + | 0.0367587i | ||||
\(900\) | 5.44887 | + | 4.13921i | 0.181629 | + | 0.137974i | ||||
\(901\) | 33.5861 | 1.11892 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | − | 2.39471i | − | 0.0796909i | ||||||
\(904\) | −9.37469 | + | 28.8523i | −0.311798 | + | 0.959614i | ||||
\(905\) | 5.50765 | + | 1.85470i | 0.183081 | + | 0.0616525i | ||||
\(906\) | 4.03426 | + | 2.93106i | 0.134029 | + | 0.0973780i | ||||
\(907\) | −21.6822 | + | 7.04496i | −0.719945 | + | 0.233924i | −0.645999 | − | 0.763338i | \(-0.723559\pi\) |
−0.0739454 | + | 0.997262i | \(0.523559\pi\) | |||||||
\(908\) | 1.10691 | − | 0.359656i | 0.0367340 | − | 0.0119356i | ||||
\(909\) | 32.1029 | + | 23.3241i | 1.06479 | + | 0.773613i | ||||
\(910\) | −6.28255 | + | 18.6564i | −0.208265 | + | 0.618454i | ||||
\(911\) | 11.6074 | − | 35.7240i | 0.384572 | − | 1.18359i | −0.552219 | − | 0.833699i | \(-0.686219\pi\) |
0.936791 | − | 0.349891i | \(-0.113781\pi\) | |||||||
\(912\) | 0.284696i | 0.00942722i | ||||||||
\(913\) | 0 | 0 | ||||||||
\(914\) | 15.0214 | 0.496863 | ||||||||
\(915\) | −3.44888 | − | 11.0128i | −0.114016 | − | 0.364071i | ||||
\(916\) | 2.81907 | − | 2.04818i | 0.0931447 | − | 0.0676736i | ||||
\(917\) | 15.4483 | − | 21.2628i | 0.510148 | − | 0.702158i | ||||
\(918\) | −9.65283 | + | 3.13639i | −0.318591 | + | 0.103516i | ||||
\(919\) | 12.2718 | + | 37.7688i | 0.404810 | + | 1.24588i | 0.921054 | + | 0.389435i | \(0.127330\pi\) |
−0.516244 | + | 0.856442i | \(0.672670\pi\) | |||||||
\(920\) | −0.612399 | + | 57.4271i | −0.0201902 | + | 1.89332i | ||||
\(921\) | −5.97899 | + | 4.34399i | −0.197014 | + | 0.143139i | ||||
\(922\) | −19.4464 | − | 6.31853i | −0.640434 | − | 0.208090i | ||||
\(923\) | − | 23.1808i | − | 0.763005i | ||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −2.46724 | − | 0.860246i | −0.0811225 | − | 0.0282847i | ||||
\(926\) | 5.57887 | − | 17.1700i | 0.183333 | − | 0.564241i | ||||
\(927\) | −22.5685 | − | 31.0628i | −0.741246 | − | 1.02024i | ||||
\(928\) | −5.15037 | + | 7.08888i | −0.169069 | + | 0.232704i | ||||
\(929\) | −6.40586 | − | 19.7152i | −0.210169 | − | 0.646835i | −0.999461 | − | 0.0328169i | \(-0.989552\pi\) |
0.789292 | − | 0.614018i | \(-0.210448\pi\) | |||||||
\(930\) | −0.337973 | + | 0.454899i | −0.0110826 | + | 0.0149167i | ||||
\(931\) | 0.0706921 | + | 0.0513608i | 0.00231684 | + | 0.00168328i | ||||
\(932\) | 1.25067 | + | 1.72140i | 0.0409672 | + | 0.0563864i | ||||
\(933\) | −3.03202 | − | 0.985162i | −0.0992638 | − | 0.0322528i | ||||
\(934\) | −37.6187 | −1.23092 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 24.1874 | 0.790588 | ||||||||
\(937\) | −53.1171 | − | 17.2588i | −1.73526 | − | 0.563820i | −0.741066 | − | 0.671432i | \(-0.765680\pi\) |
−0.994193 | + | 0.107612i | \(0.965680\pi\) | |||||||
\(938\) | −6.01281 | − | 8.27593i | −0.196325 | − | 0.270219i | ||||
\(939\) | 0.509792 | + | 0.370386i | 0.0166364 | + | 0.0120871i | ||||
\(940\) | −4.21872 | − | 3.13435i | −0.137600 | − | 0.102231i | ||||
\(941\) | 4.12983 | + | 12.7103i | 0.134629 | + | 0.414344i | 0.995532 | − | 0.0944240i | \(-0.0301009\pi\) |
−0.860903 | + | 0.508768i | \(0.830101\pi\) | |||||||
\(942\) | −3.63435 | + | 5.00226i | −0.118414 | + | 0.162982i | ||||
\(943\) | 25.2447 | + | 34.7464i | 0.822082 | + | 1.13150i | ||||
\(944\) | 6.53670 | − | 20.1179i | 0.212752 | − | 0.654782i | ||||
\(945\) | 7.15072 | + | 10.0661i | 0.232613 | + | 0.327451i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | − | 42.2245i | − | 1.37211i | −0.727550 | − | 0.686055i | \(-0.759341\pi\) | ||
0.727550 | − | 0.686055i | \(-0.240659\pi\) | |||||||
\(948\) | 1.60326 | + | 0.520930i | 0.0520714 | + | 0.0169190i | ||||
\(949\) | 29.0988 | − | 21.1415i | 0.944587 | − | 0.686283i | ||||
\(950\) | 0.976938 | + | 1.40678i | 0.0316961 | + | 0.0456420i | ||||
\(951\) | 1.96569 | + | 6.04977i | 0.0637418 | + | 0.196177i | ||||
\(952\) | 28.9500 | − | 9.40644i | 0.938276 | − | 0.304864i | ||||
\(953\) | 8.65152 | − | 11.9078i | 0.280250 | − | 0.385731i | −0.645567 | − | 0.763704i | \(-0.723379\pi\) |
0.925817 | + | 0.377973i | \(0.123379\pi\) | |||||||
\(954\) | 24.9652 | − | 18.1383i | 0.808280 | − | 0.587250i | ||||
\(955\) | 4.73361 | − | 1.48243i | 0.153176 | − | 0.0479703i | ||||
\(956\) | 11.5376 | 0.373154 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | − | 17.2750i | − | 0.558131i | ||||||
\(959\) | 3.47245 | − | 10.6871i | 0.112131 | − | 0.345105i | ||||
\(960\) | −2.30893 | + | 6.85651i | −0.0745205 | + | 0.221293i | ||||
\(961\) | 24.8219 | + | 18.0342i | 0.800708 | + | 0.581748i | ||||
\(962\) | −1.69228 | + | 0.549855i | −0.0545613 | + | 0.0177280i | ||||
\(963\) | −27.9792 | + | 9.09098i | −0.901616 | + | 0.292953i | ||||
\(964\) | −4.64852 | − | 3.37735i | −0.149719 | − | 0.108777i | ||||
\(965\) | 7.47622 | − | 22.2011i | 0.240668 | − | 0.714678i | ||||
\(966\) | −3.01513 | + | 9.27960i | −0.0970101 | + | 0.298566i | ||||
\(967\) | 32.2786i | 1.03801i | 0.854771 | + | 0.519005i | \(0.173697\pi\) | ||||
−0.854771 | + | 0.519005i | \(0.826303\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 0.389123 | 0.0125004 | ||||||||
\(970\) | 28.7056 | − | 8.98974i | 0.921680 | − | 0.288643i | ||||
\(971\) | 34.6266 | − | 25.1577i | 1.11122 | − | 0.807348i | 0.128364 | − | 0.991727i | \(-0.459027\pi\) |
0.982855 | + | 0.184379i | \(0.0590274\pi\) | |||||||
\(972\) | 2.59634 | − | 3.57356i | 0.0832777 | − | 0.114622i | ||||
\(973\) | −20.4160 | + | 6.63357i | −0.654508 | + | 0.212662i | ||||
\(974\) | −13.0150 | − | 40.0562i | −0.417029 | − | 1.28348i | ||||
\(975\) | −4.12464 | + | 2.86436i | −0.132094 | + | 0.0917328i | ||||
\(976\) | −32.3222 | + | 23.4834i | −1.03461 | + | 0.751686i | ||||
\(977\) | 11.6002 | + | 3.76913i | 0.371123 | + | 0.120585i | 0.488640 | − | 0.872486i | \(-0.337493\pi\) |
−0.117516 | + | 0.993071i | \(0.537493\pi\) | |||||||
\(978\) | 4.01584i | 0.128412i | ||||||||
\(979\) | 0 | 0 | ||||||||
\(980\) | 0.194545 | + | 0.273862i | 0.00621451 | + | 0.00874821i | ||||
\(981\) | −4.37971 | + | 13.4794i | −0.139833 | + | 0.430363i | ||||
\(982\) | 2.31691 | + | 3.18895i | 0.0739355 | + | 0.101764i | ||||
\(983\) | −8.26843 | + | 11.3805i | −0.263722 | + | 0.362982i | −0.920258 | − | 0.391313i | \(-0.872021\pi\) |
0.656536 | + | 0.754295i | \(0.272021\pi\) | |||||||
\(984\) | 1.75763 | + | 5.40943i | 0.0560312 | + | 0.172446i | ||||
\(985\) | 2.38123 | + | 1.76917i | 0.0758723 | + | 0.0563703i | ||||
\(986\) | −12.7765 | − | 9.28265i | −0.406886 | − | 0.295620i | ||||
\(987\) | −2.72422 | − | 3.74957i | −0.0867130 | − | 0.119350i | ||||
\(988\) | −0.347668 | − | 0.112964i | −0.0110608 | − | 0.00359387i | ||||
\(989\) | −21.3790 | −0.679811 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −22.9455 | −0.728887 | −0.364444 | − | 0.931225i | \(-0.618741\pi\) | ||||
−0.364444 | + | 0.931225i | \(0.618741\pi\) | |||||||
\(992\) | −1.41504 | − | 0.459774i | −0.0449275 | − | 0.0145978i | ||||
\(993\) | −2.69982 | − | 3.71598i | −0.0856762 | − | 0.117923i | ||||
\(994\) | −21.6850 | − | 15.7551i | −0.687806 | − | 0.499720i | ||||
\(995\) | −6.93871 | + | 9.33924i | −0.219972 | + | 0.296074i | ||||
\(996\) | 0.176985 | + | 0.544702i | 0.00560797 | + | 0.0172596i | ||||
\(997\) | −2.13629 | + | 2.94035i | −0.0676570 | + | 0.0931219i | −0.841505 | − | 0.540250i | \(-0.818330\pi\) |
0.773848 | + | 0.633372i | \(0.218330\pi\) | |||||||
\(998\) | −4.73527 | − | 6.51754i | −0.149892 | − | 0.206309i | ||||
\(999\) | −0.344883 | + | 1.06144i | −0.0109116 | + | 0.0335825i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))