Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(97,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 6, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.97");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.bx (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 223.7 | ||
Character | \(\chi\) | \(=\) | 546.223 |
Dual form | 546.2.bx.b.475.7 |
$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{1}{12}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.965926 | + | 0.258819i | 0.683013 | + | 0.183013i | ||||
\(3\) | −0.866025 | + | 0.500000i | −0.500000 | + | 0.288675i | ||||
\(4\) | 0.866025 | + | 0.500000i | 0.433013 | + | 0.250000i | ||||
\(5\) | −1.14071 | − | 1.14071i | −0.510142 | − | 0.510142i | 0.404428 | − | 0.914570i | \(-0.367471\pi\) |
−0.914570 | + | 0.404428i | \(0.867471\pi\) | |||||||
\(6\) | −0.965926 | + | 0.258819i | −0.394338 | + | 0.105662i | ||||
\(7\) | 2.54651 | − | 0.717822i | 0.962492 | − | 0.271311i | ||||
\(8\) | 0.707107 | + | 0.707107i | 0.250000 | + | 0.250000i | ||||
\(9\) | 0.500000 | − | 0.866025i | 0.166667 | − | 0.288675i | ||||
\(10\) | −0.806606 | − | 1.39708i | −0.255071 | − | 0.441796i | ||||
\(11\) | −0.325835 | + | 1.21603i | −0.0982429 | + | 0.366648i | −0.997491 | − | 0.0707911i | \(-0.977448\pi\) |
0.899248 | + | 0.437439i | \(0.144114\pi\) | |||||||
\(12\) | −1.00000 | −0.288675 | ||||||||
\(13\) | 3.51375 | + | 0.808446i | 0.974538 | + | 0.224223i | ||||
\(14\) | 2.64553 | − | 0.0342770i | 0.707047 | − | 0.00916091i | ||||
\(15\) | 1.55824 | + | 0.417530i | 0.402337 | + | 0.107806i | ||||
\(16\) | 0.500000 | + | 0.866025i | 0.125000 | + | 0.216506i | ||||
\(17\) | −0.338413 | + | 0.586148i | −0.0820772 | + | 0.142162i | −0.904142 | − | 0.427232i | \(-0.859489\pi\) |
0.822065 | + | 0.569394i | \(0.192822\pi\) | |||||||
\(18\) | 0.707107 | − | 0.707107i | 0.166667 | − | 0.166667i | ||||
\(19\) | 5.48248 | − | 1.46903i | 1.25777 | − | 0.337018i | 0.432435 | − | 0.901665i | \(-0.357655\pi\) |
0.825332 | + | 0.564647i | \(0.190988\pi\) | |||||||
\(20\) | −0.417530 | − | 1.55824i | −0.0933625 | − | 0.348434i | ||||
\(21\) | −1.84643 | + | 1.89491i | −0.402925 | + | 0.413503i | ||||
\(22\) | −0.629465 | + | 1.09026i | −0.134202 | + | 0.232445i | ||||
\(23\) | 2.30399 | − | 1.33021i | 0.480415 | − | 0.277368i | −0.240175 | − | 0.970730i | \(-0.577205\pi\) |
0.720589 | + | 0.693362i | \(0.243871\pi\) | |||||||
\(24\) | −0.965926 | − | 0.258819i | −0.197169 | − | 0.0528312i | ||||
\(25\) | − | 2.39755i | − | 0.479510i | ||||||
\(26\) | 3.18478 | + | 1.69032i | 0.624586 | + | 0.331500i | ||||
\(27\) | 1.00000i | 0.192450i | ||||||||
\(28\) | 2.56426 | + | 0.651604i | 0.484599 | + | 0.123142i | ||||
\(29\) | 1.92256 | + | 3.32997i | 0.357010 | + | 0.618359i | 0.987460 | − | 0.157871i | \(-0.0504630\pi\) |
−0.630450 | + | 0.776230i | \(0.717130\pi\) | |||||||
\(30\) | 1.39708 | + | 0.806606i | 0.255071 | + | 0.147265i | ||||
\(31\) | 0.505667 | + | 0.505667i | 0.0908204 | + | 0.0908204i | 0.751057 | − | 0.660237i | \(-0.229544\pi\) |
−0.660237 | + | 0.751057i | \(0.729544\pi\) | |||||||
\(32\) | 0.258819 | + | 0.965926i | 0.0457532 | + | 0.170753i | ||||
\(33\) | −0.325835 | − | 1.21603i | −0.0567206 | − | 0.211684i | ||||
\(34\) | −0.478588 | + | 0.478588i | −0.0820772 | + | 0.0820772i | ||||
\(35\) | −3.72367 | − | 2.08601i | −0.629415 | − | 0.352600i | ||||
\(36\) | 0.866025 | − | 0.500000i | 0.144338 | − | 0.0833333i | ||||
\(37\) | −1.16343 | + | 4.34198i | −0.191267 | + | 0.713818i | 0.801935 | + | 0.597411i | \(0.203804\pi\) |
−0.993202 | + | 0.116406i | \(0.962863\pi\) | |||||||
\(38\) | 5.67588 | 0.920749 | ||||||||
\(39\) | −3.44722 | + | 1.05674i | −0.551996 | + | 0.169214i | ||||
\(40\) | − | 1.61321i | − | 0.255071i | ||||||
\(41\) | −1.69965 | + | 6.34318i | −0.265441 | + | 0.990639i | 0.696539 | + | 0.717519i | \(0.254722\pi\) |
−0.961980 | + | 0.273120i | \(0.911944\pi\) | |||||||
\(42\) | −2.27396 | + | 1.35245i | −0.350879 | + | 0.208687i | ||||
\(43\) | −1.12959 | − | 0.652168i | −0.172261 | − | 0.0994547i | 0.411391 | − | 0.911459i | \(-0.365043\pi\) |
−0.583651 | + | 0.812004i | \(0.698376\pi\) | |||||||
\(44\) | −0.890197 | + | 0.890197i | −0.134202 | + | 0.134202i | ||||
\(45\) | −1.55824 | + | 0.417530i | −0.232289 | + | 0.0622417i | ||||
\(46\) | 2.56977 | − | 0.688566i | 0.378891 | − | 0.101524i | ||||
\(47\) | 0.433654 | − | 0.433654i | 0.0632549 | − | 0.0632549i | −0.674772 | − | 0.738027i | \(-0.735758\pi\) |
0.738027 | + | 0.674772i | \(0.235758\pi\) | |||||||
\(48\) | −0.866025 | − | 0.500000i | −0.125000 | − | 0.0721688i | ||||
\(49\) | 5.96946 | − | 3.65589i | 0.852780 | − | 0.522270i | ||||
\(50\) | 0.620531 | − | 2.31585i | 0.0877564 | − | 0.327511i | ||||
\(51\) | − | 0.676826i | − | 0.0947746i | ||||||
\(52\) | 2.63877 | + | 2.45701i | 0.365932 | + | 0.340726i | ||||
\(53\) | −4.52858 | −0.622048 | −0.311024 | − | 0.950402i | \(-0.600672\pi\) | ||||
−0.311024 | + | 0.950402i | \(0.600672\pi\) | |||||||
\(54\) | −0.258819 | + | 0.965926i | −0.0352208 | + | 0.131446i | ||||
\(55\) | 1.75883 | − | 1.01546i | 0.237160 | − | 0.136925i | ||||
\(56\) | 2.30823 | + | 1.29308i | 0.308451 | + | 0.172795i | ||||
\(57\) | −4.01345 | + | 4.01345i | −0.531595 | + | 0.531595i | ||||
\(58\) | 0.995188 | + | 3.71409i | 0.130675 | + | 0.487684i | ||||
\(59\) | −1.06551 | − | 3.97652i | −0.138717 | − | 0.517699i | −0.999955 | − | 0.00949697i | \(-0.996977\pi\) |
0.861238 | − | 0.508202i | \(-0.169690\pi\) | |||||||
\(60\) | 1.14071 | + | 1.14071i | 0.147265 | + | 0.147265i | ||||
\(61\) | −2.66960 | − | 1.54130i | −0.341808 | − | 0.197343i | 0.319263 | − | 0.947666i | \(-0.396565\pi\) |
−0.661071 | + | 0.750323i | \(0.729898\pi\) | |||||||
\(62\) | 0.357560 | + | 0.619313i | 0.0454102 | + | 0.0786528i | ||||
\(63\) | 0.651604 | − | 2.56426i | 0.0820944 | − | 0.323066i | ||||
\(64\) | 1.00000i | 0.125000i | ||||||||
\(65\) | −3.08597 | − | 4.93038i | −0.382768 | − | 0.611538i | ||||
\(66\) | − | 1.25893i | − | 0.154963i | ||||||
\(67\) | −13.6367 | − | 3.65393i | −1.66598 | − | 0.446399i | −0.701959 | − | 0.712217i | \(-0.747691\pi\) |
−0.964023 | + | 0.265818i | \(0.914358\pi\) | |||||||
\(68\) | −0.586148 | + | 0.338413i | −0.0710809 | + | 0.0410386i | ||||
\(69\) | −1.33021 | + | 2.30399i | −0.160138 | + | 0.277368i | ||||
\(70\) | −3.05689 | − | 2.97869i | −0.365368 | − | 0.356021i | ||||
\(71\) | −2.97844 | − | 11.1157i | −0.353475 | − | 1.31919i | −0.882392 | − | 0.470515i | \(-0.844068\pi\) |
0.528917 | − | 0.848674i | \(-0.322598\pi\) | |||||||
\(72\) | 0.965926 | − | 0.258819i | 0.113835 | − | 0.0305021i | ||||
\(73\) | −0.598200 | + | 0.598200i | −0.0700140 | + | 0.0700140i | −0.741247 | − | 0.671233i | \(-0.765765\pi\) |
0.671233 | + | 0.741247i | \(0.265765\pi\) | |||||||
\(74\) | −2.24758 | + | 3.89292i | −0.261275 | + | 0.452542i | ||||
\(75\) | 1.19877 | + | 2.07634i | 0.138423 | + | 0.239755i | ||||
\(76\) | 5.48248 | + | 1.46903i | 0.628884 | + | 0.168509i | ||||
\(77\) | 0.0431523 | + | 3.33053i | 0.00491766 | + | 0.379550i | ||||
\(78\) | −3.60326 | + | 0.128526i | −0.407989 | + | 0.0145527i | ||||
\(79\) | −9.59048 | −1.07901 | −0.539507 | − | 0.841981i | \(-0.681389\pi\) | ||||
−0.539507 | + | 0.841981i | \(0.681389\pi\) | |||||||
\(80\) | 0.417530 | − | 1.55824i | 0.0466813 | − | 0.174217i | ||||
\(81\) | −0.500000 | − | 0.866025i | −0.0555556 | − | 0.0962250i | ||||
\(82\) | −3.28347 | + | 5.68714i | −0.362599 | + | 0.628040i | ||||
\(83\) | −0.963254 | − | 0.963254i | −0.105731 | − | 0.105731i | 0.652262 | − | 0.757993i | \(-0.273820\pi\) |
−0.757993 | + | 0.652262i | \(0.773820\pi\) | |||||||
\(84\) | −2.54651 | + | 0.717822i | −0.277847 | + | 0.0783208i | ||||
\(85\) | 1.05466 | − | 0.282595i | 0.114394 | − | 0.0306517i | ||||
\(86\) | −0.922305 | − | 0.922305i | −0.0994547 | − | 0.0994547i | ||||
\(87\) | −3.32997 | − | 1.92256i | −0.357010 | − | 0.206120i | ||||
\(88\) | −1.09026 | + | 0.629465i | −0.116223 | + | 0.0671012i | ||||
\(89\) | −8.80699 | − | 2.35983i | −0.933539 | − | 0.250141i | −0.240176 | − | 0.970729i | \(-0.577205\pi\) |
−0.693363 | + | 0.720588i | \(0.743872\pi\) | |||||||
\(90\) | −1.61321 | −0.170047 | ||||||||
\(91\) | 9.52812 | − | 0.463527i | 0.998819 | − | 0.0485909i | ||||
\(92\) | 2.66042 | 0.277368 | ||||||||
\(93\) | −0.690754 | − | 0.185087i | −0.0716278 | − | 0.0191926i | ||||
\(94\) | 0.531116 | − | 0.306640i | 0.0547804 | − | 0.0316275i | ||||
\(95\) | −7.92967 | − | 4.57820i | −0.813567 | − | 0.469713i | ||||
\(96\) | −0.707107 | − | 0.707107i | −0.0721688 | − | 0.0721688i | ||||
\(97\) | 13.9265 | − | 3.73159i | 1.41402 | − | 0.378885i | 0.530662 | − | 0.847584i | \(-0.321944\pi\) |
0.883358 | + | 0.468698i | \(0.155277\pi\) | |||||||
\(98\) | 6.71227 | − | 1.98631i | 0.678042 | − | 0.200647i | ||||
\(99\) | 0.890197 | + | 0.890197i | 0.0894682 | + | 0.0894682i | ||||
\(100\) | 1.19877 | − | 2.07634i | 0.119877 | − | 0.207634i | ||||
\(101\) | −4.47828 | − | 7.75660i | −0.445605 | − | 0.771811i | 0.552489 | − | 0.833520i | \(-0.313678\pi\) |
−0.998094 | + | 0.0617093i | \(0.980345\pi\) | |||||||
\(102\) | 0.175175 | − | 0.653764i | 0.0173450 | − | 0.0647322i | ||||
\(103\) | 2.91347 | 0.287072 | 0.143536 | − | 0.989645i | \(-0.454153\pi\) | ||||
0.143536 | + | 0.989645i | \(0.454153\pi\) | |||||||
\(104\) | 1.91294 | + | 3.05625i | 0.187579 | + | 0.299690i | ||||
\(105\) | 4.26780 | − | 0.0552961i | 0.416495 | − | 0.00539634i | ||||
\(106\) | −4.37427 | − | 1.17208i | −0.424867 | − | 0.113843i | ||||
\(107\) | 1.11825 | + | 1.93687i | 0.108106 | + | 0.187245i | 0.915003 | − | 0.403447i | \(-0.132188\pi\) |
−0.806897 | + | 0.590692i | \(0.798855\pi\) | |||||||
\(108\) | −0.500000 | + | 0.866025i | −0.0481125 | + | 0.0833333i | ||||
\(109\) | −8.57616 | + | 8.57616i | −0.821447 | + | 0.821447i | −0.986316 | − | 0.164868i | \(-0.947280\pi\) |
0.164868 | + | 0.986316i | \(0.447280\pi\) | |||||||
\(110\) | 1.96172 | − | 0.525641i | 0.187042 | − | 0.0501179i | ||||
\(111\) | −1.16343 | − | 4.34198i | −0.110428 | − | 0.412123i | ||||
\(112\) | 1.89491 | + | 1.84643i | 0.179052 | + | 0.174472i | ||||
\(113\) | 1.10711 | − | 1.91757i | 0.104148 | − | 0.180389i | −0.809242 | − | 0.587476i | \(-0.800122\pi\) |
0.913390 | + | 0.407086i | \(0.133455\pi\) | |||||||
\(114\) | −4.91546 | + | 2.83794i | −0.460375 | + | 0.265797i | ||||
\(115\) | −4.14558 | − | 1.11080i | −0.386577 | − | 0.103583i | ||||
\(116\) | 3.84511i | 0.357010i | ||||||||
\(117\) | 2.45701 | − | 2.63877i | 0.227150 | − | 0.243954i | ||||
\(118\) | − | 4.11680i | − | 0.378982i | ||||||
\(119\) | −0.441023 | + | 1.73556i | −0.0404285 | + | 0.159098i | ||||
\(120\) | 0.806606 | + | 1.39708i | 0.0736327 | + | 0.127536i | ||||
\(121\) | 8.15371 | + | 4.70755i | 0.741247 | + | 0.427959i | ||||
\(122\) | −2.17972 | − | 2.17972i | −0.197343 | − | 0.197343i | ||||
\(123\) | −1.69965 | − | 6.34318i | −0.153252 | − | 0.571945i | ||||
\(124\) | 0.185087 | + | 0.690754i | 0.0166213 | + | 0.0620315i | ||||
\(125\) | −8.43848 | + | 8.43848i | −0.754760 | + | 0.754760i | ||||
\(126\) | 1.29308 | − | 2.30823i | 0.115197 | − | 0.205634i | ||||
\(127\) | 3.80920 | − | 2.19924i | 0.338012 | − | 0.195151i | −0.321381 | − | 0.946950i | \(-0.604147\pi\) |
0.659392 | + | 0.751799i | \(0.270814\pi\) | |||||||
\(128\) | −0.258819 | + | 0.965926i | −0.0228766 | + | 0.0853766i | ||||
\(129\) | 1.30434 | 0.114840 | ||||||||
\(130\) | −1.70474 | − | 5.56109i | −0.149516 | − | 0.487740i | ||||
\(131\) | 5.76533i | 0.503719i | 0.967764 | + | 0.251860i | \(0.0810421\pi\) | ||||
−0.967764 | + | 0.251860i | \(0.918958\pi\) | |||||||
\(132\) | 0.325835 | − | 1.21603i | 0.0283603 | − | 0.105842i | ||||
\(133\) | 12.9067 | − | 7.67634i | 1.11915 | − | 0.665623i | ||||
\(134\) | −12.2263 | − | 7.05885i | −1.05619 | − | 0.609792i | ||||
\(135\) | 1.14071 | − | 1.14071i | 0.0981769 | − | 0.0981769i | ||||
\(136\) | −0.653764 | + | 0.175175i | −0.0560598 | + | 0.0150212i | ||||
\(137\) | −11.1130 | + | 2.97771i | −0.949445 | + | 0.254403i | −0.700127 | − | 0.714019i | \(-0.746873\pi\) |
−0.249318 | + | 0.968422i | \(0.580206\pi\) | |||||||
\(138\) | −1.88120 | + | 1.88120i | −0.160138 | + | 0.160138i | ||||
\(139\) | 0.570520 | + | 0.329390i | 0.0483909 | + | 0.0279385i | 0.524000 | − | 0.851718i | \(-0.324439\pi\) |
−0.475609 | + | 0.879657i | \(0.657772\pi\) | |||||||
\(140\) | −2.18179 | − | 3.66837i | −0.184395 | − | 0.310034i | ||||
\(141\) | −0.158728 | + | 0.592382i | −0.0133673 | + | 0.0498876i | ||||
\(142\) | − | 11.5078i | − | 0.965713i | ||||||
\(143\) | −2.12800 | + | 4.00941i | −0.177952 | + | 0.335284i | ||||
\(144\) | 1.00000 | 0.0833333 | ||||||||
\(145\) | 1.60545 | − | 5.99162i | 0.133325 | − | 0.497577i | ||||
\(146\) | −0.732642 | + | 0.422991i | −0.0606339 | + | 0.0350070i | ||||
\(147\) | −3.34176 | + | 6.15082i | −0.275624 | + | 0.507311i | ||||
\(148\) | −3.17855 | + | 3.17855i | −0.261275 | + | 0.261275i | ||||
\(149\) | 5.09002 | + | 18.9962i | 0.416991 | + | 1.55623i | 0.780814 | + | 0.624763i | \(0.214804\pi\) |
−0.363824 | + | 0.931468i | \(0.618529\pi\) | |||||||
\(150\) | 0.620531 | + | 2.31585i | 0.0506662 | + | 0.189089i | ||||
\(151\) | −12.4806 | − | 12.4806i | −1.01566 | − | 1.01566i | −0.999875 | − | 0.0157803i | \(-0.994977\pi\) |
−0.0157803 | − | 0.999875i | \(-0.505023\pi\) | |||||||
\(152\) | 4.91546 | + | 2.83794i | 0.398696 | + | 0.230187i | ||||
\(153\) | 0.338413 | + | 0.586148i | 0.0273591 | + | 0.0473873i | ||||
\(154\) | −0.820324 | + | 3.22822i | −0.0661036 | + | 0.260137i | ||||
\(155\) | − | 1.15364i | − | 0.0926627i | ||||||
\(156\) | −3.51375 | − | 0.808446i | −0.281325 | − | 0.0647275i | ||||
\(157\) | 18.7135i | 1.49350i | 0.665107 | + | 0.746748i | \(0.268386\pi\) | ||||
−0.665107 | + | 0.746748i | \(0.731614\pi\) | |||||||
\(158\) | −9.26369 | − | 2.48220i | −0.736980 | − | 0.197473i | ||||
\(159\) | 3.92187 | − | 2.26429i | 0.311024 | − | 0.179570i | ||||
\(160\) | 0.806606 | − | 1.39708i | 0.0637678 | − | 0.110449i | ||||
\(161\) | 4.91228 | − | 5.04125i | 0.387142 | − | 0.397306i | ||||
\(162\) | −0.258819 | − | 0.965926i | −0.0203347 | − | 0.0758903i | ||||
\(163\) | 6.40360 | − | 1.71584i | 0.501568 | − | 0.134395i | 0.000840552 | − | 1.00000i | \(-0.499732\pi\) |
0.500728 | + | 0.865605i | \(0.333066\pi\) | |||||||
\(164\) | −4.64353 | + | 4.64353i | −0.362599 | + | 0.362599i | ||||
\(165\) | −1.01546 | + | 1.75883i | −0.0790534 | + | 0.136925i | ||||
\(166\) | −0.681123 | − | 1.17974i | −0.0528654 | − | 0.0915656i | ||||
\(167\) | −20.4602 | − | 5.48230i | −1.58326 | − | 0.424233i | −0.643326 | − | 0.765592i | \(-0.722446\pi\) |
−0.939933 | + | 0.341359i | \(0.889113\pi\) | |||||||
\(168\) | −2.64553 | + | 0.0342770i | −0.204107 | + | 0.00264453i | ||||
\(169\) | 11.6928 | + | 5.68135i | 0.899448 | + | 0.437027i | ||||
\(170\) | 1.09186 | 0.0837421 | ||||||||
\(171\) | 1.46903 | − | 5.48248i | 0.112339 | − | 0.419256i | ||||
\(172\) | −0.652168 | − | 1.12959i | −0.0497273 | − | 0.0861303i | ||||
\(173\) | −7.82956 | + | 13.5612i | −0.595270 | + | 1.03104i | 0.398238 | + | 0.917282i | \(0.369622\pi\) |
−0.993509 | + | 0.113756i | \(0.963712\pi\) | |||||||
\(174\) | −2.71891 | − | 2.71891i | −0.206120 | − | 0.206120i | ||||
\(175\) | −1.72101 | − | 6.10539i | −0.130096 | − | 0.461524i | ||||
\(176\) | −1.21603 | + | 0.325835i | −0.0916619 | + | 0.0245607i | ||||
\(177\) | 2.91102 | + | 2.91102i | 0.218805 | + | 0.218805i | ||||
\(178\) | −7.89613 | − | 4.55883i | −0.591840 | − | 0.341699i | ||||
\(179\) | −10.7044 | + | 6.18019i | −0.800085 | + | 0.461929i | −0.843501 | − | 0.537128i | \(-0.819509\pi\) |
0.0434159 | + | 0.999057i | \(0.486176\pi\) | |||||||
\(180\) | −1.55824 | − | 0.417530i | −0.116145 | − | 0.0311208i | ||||
\(181\) | 10.0595 | 0.747718 | 0.373859 | − | 0.927486i | \(-0.378034\pi\) | ||||
0.373859 | + | 0.927486i | \(0.378034\pi\) | |||||||
\(182\) | 9.32343 | + | 2.01833i | 0.691099 | + | 0.149608i | ||||
\(183\) | 3.08259 | 0.227872 | ||||||||
\(184\) | 2.56977 | + | 0.688566i | 0.189446 | + | 0.0507618i | ||||
\(185\) | 6.28010 | − | 3.62582i | 0.461722 | − | 0.266575i | ||||
\(186\) | −0.619313 | − | 0.357560i | −0.0454102 | − | 0.0262176i | ||||
\(187\) | −0.602509 | − | 0.602509i | −0.0440598 | − | 0.0440598i | ||||
\(188\) | 0.592382 | − | 0.158728i | 0.0432039 | − | 0.0115765i | ||||
\(189\) | 0.717822 | + | 2.54651i | 0.0522139 | + | 0.185232i | ||||
\(190\) | −6.47455 | − | 6.47455i | −0.469713 | − | 0.469713i | ||||
\(191\) | 9.75519 | − | 16.8965i | 0.705861 | − | 1.22259i | −0.260519 | − | 0.965469i | \(-0.583894\pi\) |
0.966380 | − | 0.257118i | \(-0.0827729\pi\) | |||||||
\(192\) | −0.500000 | − | 0.866025i | −0.0360844 | − | 0.0625000i | ||||
\(193\) | −3.64787 | + | 13.6140i | −0.262579 | + | 0.979959i | 0.701136 | + | 0.713027i | \(0.252676\pi\) |
−0.963715 | + | 0.266932i | \(0.913990\pi\) | |||||||
\(194\) | 14.4178 | 1.03513 | ||||||||
\(195\) | 5.13772 | + | 2.72685i | 0.367920 | + | 0.195274i | ||||
\(196\) | 6.99765 | − | 0.181362i | 0.499832 | − | 0.0129544i | ||||
\(197\) | 20.8117 | + | 5.57649i | 1.48277 | + | 0.397308i | 0.907290 | − | 0.420505i | \(-0.138147\pi\) |
0.575484 | + | 0.817813i | \(0.304814\pi\) | |||||||
\(198\) | 0.629465 | + | 1.09026i | 0.0447341 | + | 0.0774817i | ||||
\(199\) | −6.03194 | + | 10.4476i | −0.427593 | + | 0.740613i | −0.996659 | − | 0.0816792i | \(-0.973972\pi\) |
0.569066 | + | 0.822292i | \(0.307305\pi\) | |||||||
\(200\) | 1.69532 | − | 1.69532i | 0.119877 | − | 0.119877i | ||||
\(201\) | 13.6367 | − | 3.65393i | 0.961855 | − | 0.257728i | ||||
\(202\) | −2.31813 | − | 8.65137i | −0.163103 | − | 0.608708i | ||||
\(203\) | 7.28614 | + | 7.09975i | 0.511387 | + | 0.498305i | ||||
\(204\) | 0.338413 | − | 0.586148i | 0.0236936 | − | 0.0410386i | ||||
\(205\) | 9.17456 | − | 5.29694i | 0.640779 | − | 0.369954i | ||||
\(206\) | 2.81419 | + | 0.754060i | 0.196074 | + | 0.0525379i | ||||
\(207\) | − | 2.66042i | − | 0.184912i | ||||||
\(208\) | 1.05674 | + | 3.44722i | 0.0732716 | + | 0.239021i | ||||
\(209\) | 7.14553i | 0.494267i | ||||||||
\(210\) | 4.13669 | + | 1.05118i | 0.285459 | + | 0.0725380i | ||||
\(211\) | 1.74542 | + | 3.02315i | 0.120160 | + | 0.208122i | 0.919830 | − | 0.392316i | \(-0.128326\pi\) |
−0.799671 | + | 0.600439i | \(0.794993\pi\) | |||||||
\(212\) | −3.92187 | − | 2.26429i | −0.269355 | − | 0.155512i | ||||
\(213\) | 8.13724 | + | 8.13724i | 0.557555 | + | 0.557555i | ||||
\(214\) | 0.578851 | + | 2.16030i | 0.0395694 | + | 0.147675i | ||||
\(215\) | 0.544599 | + | 2.03247i | 0.0371414 | + | 0.138613i | ||||
\(216\) | −0.707107 | + | 0.707107i | −0.0481125 | + | 0.0481125i | ||||
\(217\) | 1.65067 | + | 0.924708i | 0.112055 | + | 0.0627733i | ||||
\(218\) | −10.5036 | + | 6.06426i | −0.711394 | + | 0.410724i | ||||
\(219\) | 0.218956 | − | 0.817156i | 0.0147957 | − | 0.0552183i | ||||
\(220\) | 2.03092 | 0.136925 | ||||||||
\(221\) | −1.66297 | + | 1.78599i | −0.111863 | + | 0.120139i | ||||
\(222\) | − | 4.49515i | − | 0.301695i | ||||||
\(223\) | 7.49967 | − | 27.9892i | 0.502215 | − | 1.87429i | 0.0170782 | − | 0.999854i | \(-0.494564\pi\) |
0.485137 | − | 0.874438i | \(-0.338770\pi\) | |||||||
\(224\) | 1.35245 | + | 2.27396i | 0.0903643 | + | 0.151935i | ||||
\(225\) | −2.07634 | − | 1.19877i | −0.138423 | − | 0.0799183i | ||||
\(226\) | 1.56569 | − | 1.56569i | 0.104148 | − | 0.104148i | ||||
\(227\) | 12.1746 | − | 3.26218i | 0.808058 | − | 0.216518i | 0.168939 | − | 0.985626i | \(-0.445966\pi\) |
0.639119 | + | 0.769108i | \(0.279299\pi\) | |||||||
\(228\) | −5.48248 | + | 1.46903i | −0.363086 | + | 0.0972886i | ||||
\(229\) | −18.2974 | + | 18.2974i | −1.20912 | + | 1.20912i | −0.237812 | + | 0.971311i | \(0.576430\pi\) |
−0.971311 | + | 0.237812i | \(0.923570\pi\) | |||||||
\(230\) | −3.71682 | − | 2.14591i | −0.245080 | − | 0.141497i | ||||
\(231\) | −1.70264 | − | 2.86275i | −0.112025 | − | 0.188355i | ||||
\(232\) | −0.995188 | + | 3.71409i | −0.0653373 | + | 0.243842i | ||||
\(233\) | 4.11691i | 0.269708i | 0.990866 | + | 0.134854i | \(0.0430565\pi\) | ||||
−0.990866 | + | 0.134854i | \(0.956944\pi\) | |||||||
\(234\) | 3.05625 | − | 1.91294i | 0.199793 | − | 0.125053i | ||||
\(235\) | −0.989349 | −0.0645380 | ||||||||
\(236\) | 1.06551 | − | 3.97652i | 0.0693585 | − | 0.258850i | ||||
\(237\) | 8.30560 | − | 4.79524i | 0.539507 | − | 0.311484i | ||||
\(238\) | −0.875190 | + | 1.56227i | −0.0567301 | + | 0.101267i | ||||
\(239\) | 0.430732 | − | 0.430732i | 0.0278617 | − | 0.0278617i | −0.693039 | − | 0.720900i | \(-0.743729\pi\) |
0.720900 | + | 0.693039i | \(0.243729\pi\) | |||||||
\(240\) | 0.417530 | + | 1.55824i | 0.0269514 | + | 0.100584i | ||||
\(241\) | −4.25787 | − | 15.8906i | −0.274273 | − | 1.02360i | −0.956327 | − | 0.292300i | \(-0.905579\pi\) |
0.682053 | − | 0.731302i | \(-0.261087\pi\) | |||||||
\(242\) | 6.65748 | + | 6.65748i | 0.427959 | + | 0.427959i | ||||
\(243\) | 0.866025 | + | 0.500000i | 0.0555556 | + | 0.0320750i | ||||
\(244\) | −1.54130 | − | 2.66960i | −0.0986713 | − | 0.170904i | ||||
\(245\) | −10.9798 | − | 2.63912i | −0.701471 | − | 0.168607i | ||||
\(246\) | − | 6.56695i | − | 0.418693i | ||||||
\(247\) | 20.4517 | − | 0.729497i | 1.30131 | − | 0.0464168i | ||||
\(248\) | 0.715121i | 0.0454102i | ||||||||
\(249\) | 1.31583 | + | 0.352575i | 0.0833873 | + | 0.0223435i | ||||
\(250\) | −10.3350 | + | 5.96691i | −0.653642 | + | 0.377380i | ||||
\(251\) | −9.83489 | + | 17.0345i | −0.620773 | + | 1.07521i | 0.368570 | + | 0.929600i | \(0.379848\pi\) |
−0.989342 | + | 0.145609i | \(0.953486\pi\) | |||||||
\(252\) | 1.84643 | − | 1.89491i | 0.116314 | − | 0.119368i | ||||
\(253\) | 0.866857 | + | 3.23515i | 0.0544988 | + | 0.203392i | ||||
\(254\) | 4.24861 | − | 1.13841i | 0.266581 | − | 0.0714303i | ||||
\(255\) | −0.772064 | + | 0.772064i | −0.0483485 | + | 0.0483485i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −14.3076 | − | 24.7815i | −0.892483 | − | 1.54583i | −0.836890 | − | 0.547372i | \(-0.815628\pi\) |
−0.0555928 | − | 0.998454i | \(-0.517705\pi\) | |||||||
\(258\) | 1.25989 | + | 0.337587i | 0.0784374 | + | 0.0210172i | ||||
\(259\) | 0.154080 | + | 11.8921i | 0.00957408 | + | 0.738936i | ||||
\(260\) | −0.207339 | − | 5.81282i | −0.0128586 | − | 0.360496i | ||||
\(261\) | 3.84511 | 0.238006 | ||||||||
\(262\) | −1.49218 | + | 5.56888i | −0.0921870 | + | 0.344047i | ||||
\(263\) | −8.48891 | − | 14.7032i | −0.523449 | − | 0.906639i | −0.999628 | − | 0.0272911i | \(-0.991312\pi\) |
0.476179 | − | 0.879348i | \(-0.342021\pi\) | |||||||
\(264\) | 0.629465 | − | 1.09026i | 0.0387409 | − | 0.0671012i | ||||
\(265\) | 5.16581 | + | 5.16581i | 0.317333 | + | 0.317333i | ||||
\(266\) | 14.4537 | − | 4.07427i | 0.886214 | − | 0.249810i | ||||
\(267\) | 8.80699 | − | 2.35983i | 0.538979 | − | 0.144419i | ||||
\(268\) | −9.98272 | − | 9.98272i | −0.609792 | − | 0.609792i | ||||
\(269\) | −0.379010 | − | 0.218822i | −0.0231087 | − | 0.0133418i | 0.488401 | − | 0.872619i | \(-0.337580\pi\) |
−0.511510 | + | 0.859277i | \(0.670914\pi\) | |||||||
\(270\) | 1.39708 | − | 0.806606i | 0.0850237 | − | 0.0490885i | ||||
\(271\) | −29.7621 | − | 7.97473i | −1.80792 | − | 0.484430i | −0.812750 | − | 0.582613i | \(-0.802030\pi\) |
−0.995168 | + | 0.0981826i | \(0.968697\pi\) | |||||||
\(272\) | −0.676826 | −0.0410386 | ||||||||
\(273\) | −8.01983 | + | 5.16549i | −0.485382 | + | 0.312630i | ||||
\(274\) | −11.5050 | −0.695042 | ||||||||
\(275\) | 2.91550 | + | 0.781205i | 0.175811 | + | 0.0471084i | ||||
\(276\) | −2.30399 | + | 1.33021i | −0.138684 | + | 0.0800691i | ||||
\(277\) | −0.253608 | − | 0.146421i | −0.0152378 | − | 0.00879757i | 0.492362 | − | 0.870391i | \(-0.336134\pi\) |
−0.507600 | + | 0.861593i | \(0.669467\pi\) | |||||||
\(278\) | 0.465828 | + | 0.465828i | 0.0279385 | + | 0.0279385i | ||||
\(279\) | 0.690754 | − | 0.185087i | 0.0413543 | − | 0.0110809i | ||||
\(280\) | −1.15800 | − | 4.10807i | −0.0692037 | − | 0.245504i | ||||
\(281\) | 16.3447 | + | 16.3447i | 0.975043 | + | 0.975043i | 0.999696 | − | 0.0246533i | \(-0.00784818\pi\) |
−0.0246533 | + | 0.999696i | \(0.507848\pi\) | |||||||
\(282\) | −0.306640 | + | 0.531116i | −0.0182601 | + | 0.0316275i | ||||
\(283\) | 4.29246 | + | 7.43476i | 0.255160 | + | 0.441950i | 0.964939 | − | 0.262474i | \(-0.0845384\pi\) |
−0.709779 | + | 0.704425i | \(0.751205\pi\) | |||||||
\(284\) | 2.97844 | − | 11.1157i | 0.176738 | − | 0.659594i | ||||
\(285\) | 9.15640 | 0.542378 | ||||||||
\(286\) | −3.09320 | + | 3.32203i | −0.182905 | + | 0.196436i | ||||
\(287\) | 0.225095 | + | 17.3730i | 0.0132869 | + | 1.02550i | ||||
\(288\) | 0.965926 | + | 0.258819i | 0.0569177 | + | 0.0152511i | ||||
\(289\) | 8.27095 | + | 14.3257i | 0.486527 | + | 0.842689i | ||||
\(290\) | 3.10149 | − | 5.37194i | 0.182126 | − | 0.315451i | ||||
\(291\) | −10.1949 | + | 10.1949i | −0.597635 | + | 0.597635i | ||||
\(292\) | −0.817156 | + | 0.218956i | −0.0478205 | + | 0.0128135i | ||||
\(293\) | −7.75194 | − | 28.9306i | −0.452873 | − | 1.69015i | −0.694266 | − | 0.719718i | \(-0.744271\pi\) |
0.241393 | − | 0.970427i | \(-0.422396\pi\) | |||||||
\(294\) | −4.81984 | + | 5.07633i | −0.281099 | + | 0.296057i | ||||
\(295\) | −3.32063 | + | 5.75151i | −0.193335 | + | 0.334866i | ||||
\(296\) | −3.89292 | + | 2.24758i | −0.226271 | + | 0.130638i | ||||
\(297\) | −1.21603 | − | 0.325835i | −0.0705614 | − | 0.0189069i | ||||
\(298\) | 19.6663i | 1.13924i | ||||||||
\(299\) | 9.17103 | − | 2.81136i | 0.530375 | − | 0.162585i | ||||
\(300\) | 2.39755i | 0.138423i | ||||||||
\(301\) | −3.34465 | − | 0.849911i | −0.192783 | − | 0.0489881i | ||||
\(302\) | −8.82511 | − | 15.2855i | −0.507828 | − | 0.879584i | ||||
\(303\) | 7.75660 | + | 4.47828i | 0.445605 | + | 0.257270i | ||||
\(304\) | 4.01345 | + | 4.01345i | 0.230187 | + | 0.230187i | ||||
\(305\) | 1.28707 | + | 4.80343i | 0.0736977 | + | 0.275043i | ||||
\(306\) | 0.175175 | + | 0.653764i | 0.0100141 | + | 0.0373732i | ||||
\(307\) | −5.90984 | + | 5.90984i | −0.337292 | + | 0.337292i | −0.855347 | − | 0.518055i | \(-0.826656\pi\) |
0.518055 | + | 0.855347i | \(0.326656\pi\) | |||||||
\(308\) | −1.62790 | + | 2.90590i | −0.0927580 | + | 0.165579i | ||||
\(309\) | −2.52314 | + | 1.45673i | −0.143536 | + | 0.0828706i | ||||
\(310\) | 0.298584 | − | 1.11433i | 0.0169585 | − | 0.0632898i | ||||
\(311\) | 29.9039 | 1.69569 | 0.847847 | − | 0.530241i | \(-0.177899\pi\) | ||||
0.847847 | + | 0.530241i | \(0.177899\pi\) | |||||||
\(312\) | −3.18478 | − | 1.69032i | −0.180303 | − | 0.0956957i | ||||
\(313\) | 10.0266i | 0.566736i | 0.959011 | + | 0.283368i | \(0.0914517\pi\) | ||||
−0.959011 | + | 0.283368i | \(0.908548\pi\) | |||||||
\(314\) | −4.84340 | + | 18.0758i | −0.273329 | + | 1.02008i | ||||
\(315\) | −3.66837 | + | 2.18179i | −0.206689 | + | 0.122930i | ||||
\(316\) | −8.30560 | − | 4.79524i | −0.467227 | − | 0.269753i | ||||
\(317\) | 15.4584 | − | 15.4584i | 0.868229 | − | 0.868229i | −0.124048 | − | 0.992276i | \(-0.539588\pi\) |
0.992276 | + | 0.124048i | \(0.0395875\pi\) | |||||||
\(318\) | 4.37427 | − | 1.17208i | 0.245297 | − | 0.0657272i | ||||
\(319\) | −4.67578 | + | 1.25287i | −0.261793 | + | 0.0701473i | ||||
\(320\) | 1.14071 | − | 1.14071i | 0.0637678 | − | 0.0637678i | ||||
\(321\) | −1.93687 | − | 1.11825i | −0.108106 | − | 0.0624149i | ||||
\(322\) | 6.04967 | − | 3.59808i | 0.337135 | − | 0.200513i | ||||
\(323\) | −0.994275 | + | 3.71068i | −0.0553229 | + | 0.206468i | ||||
\(324\) | − | 1.00000i | − | 0.0555556i | ||||||
\(325\) | 1.93829 | − | 8.42438i | 0.107517 | − | 0.467300i | ||||
\(326\) | 6.62949 | 0.367173 | ||||||||
\(327\) | 3.13909 | − | 11.7153i | 0.173592 | − | 0.647855i | ||||
\(328\) | −5.68714 | + | 3.28347i | −0.314020 | + | 0.181299i | ||||
\(329\) | 0.793019 | − | 1.41559i | 0.0437206 | − | 0.0780441i | ||||
\(330\) | −1.43608 | + | 1.43608i | −0.0790534 | + | 0.0790534i | ||||
\(331\) | 0.659555 | + | 2.46149i | 0.0362524 | + | 0.135296i | 0.981680 | − | 0.190536i | \(-0.0610225\pi\) |
−0.945428 | + | 0.325831i | \(0.894356\pi\) | |||||||
\(332\) | −0.352575 | − | 1.31583i | −0.0193501 | − | 0.0722155i | ||||
\(333\) | 3.17855 | + | 3.17855i | 0.174184 | + | 0.174184i | ||||
\(334\) | −18.3441 | − | 10.5910i | −1.00375 | − | 0.579513i | ||||
\(335\) | 11.3874 | + | 19.7236i | 0.622161 | + | 1.07762i | ||||
\(336\) | −2.56426 | − | 0.651604i | −0.139892 | − | 0.0355479i | ||||
\(337\) | − | 10.4586i | − | 0.569715i | −0.958570 | − | 0.284858i | \(-0.908054\pi\) | ||
0.958570 | − | 0.284858i | \(-0.0919463\pi\) | |||||||
\(338\) | 9.82397 | + | 8.51409i | 0.534353 | + | 0.463105i | ||||
\(339\) | 2.21422i | 0.120260i | ||||||||
\(340\) | 1.05466 | + | 0.282595i | 0.0571969 | + | 0.0153259i | ||||
\(341\) | −0.779671 | + | 0.450143i | −0.0422216 | + | 0.0243766i | ||||
\(342\) | 2.83794 | − | 4.91546i | 0.153458 | − | 0.265797i | ||||
\(343\) | 12.5770 | − | 13.5948i | 0.679096 | − | 0.734049i | ||||
\(344\) | −0.337587 | − | 1.25989i | −0.0182015 | − | 0.0679288i | ||||
\(345\) | 4.14558 | − | 1.11080i | 0.223190 | − | 0.0598036i | ||||
\(346\) | −11.0727 | + | 11.0727i | −0.595270 | + | 0.595270i | ||||
\(347\) | 3.47714 | − | 6.02258i | 0.186663 | − | 0.323309i | −0.757473 | − | 0.652867i | \(-0.773566\pi\) |
0.944136 | + | 0.329557i | \(0.106900\pi\) | |||||||
\(348\) | −1.92256 | − | 3.32997i | −0.103060 | − | 0.178505i | ||||
\(349\) | −11.5437 | − | 3.09314i | −0.617922 | − | 0.165572i | −0.0637391 | − | 0.997967i | \(-0.520303\pi\) |
−0.554183 | + | 0.832395i | \(0.686969\pi\) | |||||||
\(350\) | −0.0821808 | − | 6.34278i | −0.00439275 | − | 0.339036i | ||||
\(351\) | −0.808446 | + | 3.51375i | −0.0431517 | + | 0.187550i | ||||
\(352\) | −1.25893 | −0.0671012 | ||||||||
\(353\) | 9.34528 | − | 34.8771i | 0.497399 | − | 1.85632i | −0.0187575 | − | 0.999824i | \(-0.505971\pi\) |
0.516157 | − | 0.856494i | \(-0.327362\pi\) | |||||||
\(354\) | 2.05840 | + | 3.56525i | 0.109403 | + | 0.189491i | ||||
\(355\) | −9.28226 | + | 16.0773i | −0.492651 | + | 0.853297i | ||||
\(356\) | −6.44716 | − | 6.44716i | −0.341699 | − | 0.341699i | ||||
\(357\) | −0.485841 | − | 1.72355i | −0.0257134 | − | 0.0912197i | ||||
\(358\) | −11.9392 | + | 3.19910i | −0.631007 | + | 0.169078i | ||||
\(359\) | 17.2168 | + | 17.2168i | 0.908668 | + | 0.908668i | 0.996165 | − | 0.0874967i | \(-0.0278867\pi\) |
−0.0874967 | + | 0.996165i | \(0.527887\pi\) | |||||||
\(360\) | −1.39708 | − | 0.806606i | −0.0736327 | − | 0.0425119i | ||||
\(361\) | 11.4451 | − | 6.60781i | 0.602372 | − | 0.347780i | ||||
\(362\) | 9.71674 | + | 2.60359i | 0.510701 | + | 0.136842i | ||||
\(363\) | −9.41510 | −0.494164 | ||||||||
\(364\) | 8.48336 | + | 4.36264i | 0.444649 | + | 0.228664i | ||||
\(365\) | 1.36475 | 0.0714342 | ||||||||
\(366\) | 2.97755 | + | 0.797833i | 0.155639 | + | 0.0417034i | ||||
\(367\) | −21.1130 | + | 12.1896i | −1.10209 | + | 0.636291i | −0.936769 | − | 0.349949i | \(-0.886199\pi\) |
−0.165319 | + | 0.986240i | \(0.552865\pi\) | |||||||
\(368\) | 2.30399 | + | 1.33021i | 0.120104 | + | 0.0693419i | ||||
\(369\) | 4.64353 | + | 4.64353i | 0.241733 | + | 0.241733i | ||||
\(370\) | 7.00454 | − | 1.87686i | 0.364149 | − | 0.0975733i | ||||
\(371\) | −11.5321 | + | 3.25072i | −0.598716 | + | 0.168769i | ||||
\(372\) | −0.505667 | − | 0.505667i | −0.0262176 | − | 0.0262176i | ||||
\(373\) | 5.79040 | − | 10.0293i | 0.299816 | − | 0.519296i | −0.676278 | − | 0.736647i | \(-0.736408\pi\) |
0.976094 | + | 0.217350i | \(0.0697414\pi\) | |||||||
\(374\) | −0.426038 | − | 0.737919i | −0.0220299 | − | 0.0381569i | ||||
\(375\) | 3.08870 | − | 11.5272i | 0.159500 | − | 0.595261i | ||||
\(376\) | 0.613279 | 0.0316275 | ||||||||
\(377\) | 4.06328 | + | 13.2549i | 0.209269 | + | 0.682664i | ||||
\(378\) | 0.0342770 | + | 2.64553i | 0.00176302 | + | 0.136071i | ||||
\(379\) | 14.8453 | + | 3.97777i | 0.762550 | + | 0.204325i | 0.619078 | − | 0.785330i | \(-0.287507\pi\) |
0.143472 | + | 0.989654i | \(0.454173\pi\) | |||||||
\(380\) | −4.57820 | − | 7.92967i | −0.234857 | − | 0.406784i | ||||
\(381\) | −2.19924 | + | 3.80920i | −0.112671 | + | 0.195151i | ||||
\(382\) | 13.7959 | − | 13.7959i | 0.705861 | − | 0.705861i | ||||
\(383\) | 33.2528 | − | 8.91007i | 1.69914 | − | 0.455283i | 0.726417 | − | 0.687254i | \(-0.241184\pi\) |
0.972723 | + | 0.231971i | \(0.0745174\pi\) | |||||||
\(384\) | −0.258819 | − | 0.965926i | −0.0132078 | − | 0.0492922i | ||||
\(385\) | 3.74996 | − | 3.84841i | 0.191116 | − | 0.196133i | ||||
\(386\) | −7.04714 | + | 12.2060i | −0.358690 | + | 0.621269i | ||||
\(387\) | −1.12959 | + | 0.652168i | −0.0574202 | + | 0.0331516i | ||||
\(388\) | 13.9265 | + | 3.73159i | 0.707010 | + | 0.189443i | ||||
\(389\) | 14.6992i | 0.745280i | 0.927976 | + | 0.372640i | \(0.121547\pi\) | ||||
−0.927976 | + | 0.372640i | \(0.878453\pi\) | |||||||
\(390\) | 4.25690 | + | 3.96367i | 0.215556 | + | 0.200708i | ||||
\(391\) | 1.80064i | 0.0910622i | ||||||||
\(392\) | 6.80615 | + | 1.63594i | 0.343763 | + | 0.0826276i | ||||
\(393\) | −2.88267 | − | 4.99292i | −0.145411 | − | 0.251860i | ||||
\(394\) | 18.6593 | + | 10.7729i | 0.940041 | + | 0.542733i | ||||
\(395\) | 10.9400 | + | 10.9400i | 0.550450 | + | 0.550450i | ||||
\(396\) | 0.325835 | + | 1.21603i | 0.0163738 | + | 0.0611079i | ||||
\(397\) | 3.62070 | + | 13.5126i | 0.181718 | + | 0.678180i | 0.995309 | + | 0.0967433i | \(0.0308426\pi\) |
−0.813592 | + | 0.581437i | \(0.802491\pi\) | |||||||
\(398\) | −8.53046 | + | 8.53046i | −0.427593 | + | 0.427593i | ||||
\(399\) | −7.33937 | + | 13.1013i | −0.367428 | + | 0.655883i | ||||
\(400\) | 2.07634 | − | 1.19877i | 0.103817 | − | 0.0599387i | ||||
\(401\) | 2.90448 | − | 10.8397i | 0.145043 | − | 0.541307i | −0.854711 | − | 0.519105i | \(-0.826265\pi\) |
0.999753 | − | 0.0222025i | \(-0.00706787\pi\) | |||||||
\(402\) | 14.1177 | 0.704127 | ||||||||
\(403\) | 1.36798 | + | 2.18559i | 0.0681440 | + | 0.108872i | ||||
\(404\) | − | 8.95655i | − | 0.445605i | ||||||
\(405\) | −0.417530 | + | 1.55824i | −0.0207472 | + | 0.0774297i | ||||
\(406\) | 5.20032 | + | 8.74362i | 0.258088 | + | 0.433939i | ||||
\(407\) | −4.90091 | − | 2.82954i | −0.242929 | − | 0.140255i | ||||
\(408\) | 0.478588 | − | 0.478588i | 0.0236936 | − | 0.0236936i | ||||
\(409\) | −25.7020 | + | 6.88684i | −1.27088 | + | 0.340532i | −0.830370 | − | 0.557213i | \(-0.811871\pi\) |
−0.440515 | + | 0.897745i | \(0.645204\pi\) | |||||||
\(410\) | 10.2329 | − | 2.74190i | 0.505367 | − | 0.135413i | ||||
\(411\) | 8.13525 | − | 8.13525i | 0.401283 | − | 0.401283i | ||||
\(412\) | 2.52314 | + | 1.45673i | 0.124306 | + | 0.0717681i | ||||
\(413\) | −5.56776 | − | 9.36142i | −0.273972 | − | 0.460645i | ||||
\(414\) | 0.688566 | − | 2.56977i | 0.0338412 | − | 0.126297i | ||||
\(415\) | 2.19759i | 0.107876i | ||||||||
\(416\) | 0.128526 | + | 3.60326i | 0.00630149 | + | 0.176664i | ||||
\(417\) | −0.658780 | −0.0322606 | ||||||||
\(418\) | −1.84940 | + | 6.90205i | −0.0904571 | + | 0.337591i | ||||
\(419\) | 12.3466 | − | 7.12833i | 0.603173 | − | 0.348242i | −0.167116 | − | 0.985937i | \(-0.553445\pi\) |
0.770289 | + | 0.637695i | \(0.220112\pi\) | |||||||
\(420\) | 3.72367 | + | 2.08601i | 0.181696 | + | 0.101787i | ||||
\(421\) | 7.03263 | − | 7.03263i | 0.342749 | − | 0.342749i | −0.514651 | − | 0.857400i | \(-0.672078\pi\) |
0.857400 | + | 0.514651i | \(0.172078\pi\) | |||||||
\(422\) | 0.903495 | + | 3.37189i | 0.0439815 | + | 0.164141i | ||||
\(423\) | −0.158728 | − | 0.592382i | −0.00771764 | − | 0.0288026i | ||||
\(424\) | −3.20219 | − | 3.20219i | −0.155512 | − | 0.155512i | ||||
\(425\) | 1.40532 | + | 0.811361i | 0.0681680 | + | 0.0393568i | ||||
\(426\) | 5.75390 | + | 9.96604i | 0.278777 | + | 0.482856i | ||||
\(427\) | −7.90456 | − | 2.00863i | −0.382528 | − | 0.0972044i | ||||
\(428\) | 2.23651i | 0.108106i | ||||||||
\(429\) | −0.161805 | − | 4.53625i | −0.00781201 | − | 0.219012i | ||||
\(430\) | 2.10417i | 0.101472i | ||||||||
\(431\) | −15.2675 | − | 4.09092i | −0.735411 | − | 0.197053i | −0.128373 | − | 0.991726i | \(-0.540976\pi\) |
−0.607037 | + | 0.794673i | \(0.707642\pi\) | |||||||
\(432\) | −0.866025 | + | 0.500000i | −0.0416667 | + | 0.0240563i | ||||
\(433\) | −1.12053 | + | 1.94081i | −0.0538492 | + | 0.0932695i | −0.891693 | − | 0.452640i | \(-0.850482\pi\) |
0.837844 | + | 0.545909i | \(0.183816\pi\) | |||||||
\(434\) | 1.35509 | + | 1.32042i | 0.0650464 | + | 0.0633824i | ||||
\(435\) | 1.60545 | + | 5.99162i | 0.0769754 | + | 0.287276i | ||||
\(436\) | −11.7153 | + | 3.13909i | −0.561059 | + | 0.150335i | ||||
\(437\) | 10.6775 | − | 10.6775i | 0.510772 | − | 0.510772i | ||||
\(438\) | 0.422991 | − | 0.732642i | 0.0202113 | − | 0.0350070i | ||||
\(439\) | −7.43138 | − | 12.8715i | −0.354680 | − | 0.614325i | 0.632383 | − | 0.774656i | \(-0.282077\pi\) |
−0.987063 | + | 0.160331i | \(0.948744\pi\) | |||||||
\(440\) | 1.96172 | + | 0.525641i | 0.0935212 | + | 0.0250589i | ||||
\(441\) | −0.181362 | − | 6.99765i | −0.00863627 | − | 0.333221i | ||||
\(442\) | −2.06855 | + | 1.29472i | −0.0983909 | + | 0.0615838i | ||||
\(443\) | 12.1078 | 0.575258 | 0.287629 | − | 0.957742i | \(-0.407133\pi\) | ||||
0.287629 | + | 0.957742i | \(0.407133\pi\) | |||||||
\(444\) | 1.16343 | − | 4.34198i | 0.0552140 | − | 0.206061i | ||||
\(445\) | 7.35436 | + | 12.7381i | 0.348630 | + | 0.603845i | ||||
\(446\) | 14.4883 | − | 25.0944i | 0.686039 | − | 1.18825i | ||||
\(447\) | −13.9062 | − | 13.9062i | −0.657741 | − | 0.657741i | ||||
\(448\) | 0.717822 | + | 2.54651i | 0.0339139 | + | 0.120311i | ||||
\(449\) | −19.4403 | + | 5.20902i | −0.917446 | + | 0.245829i | −0.686493 | − | 0.727136i | \(-0.740851\pi\) |
−0.230953 | + | 0.972965i | \(0.574184\pi\) | |||||||
\(450\) | −1.69532 | − | 1.69532i | −0.0799183 | − | 0.0799183i | ||||
\(451\) | −7.15971 | − | 4.13366i | −0.337138 | − | 0.194646i | ||||
\(452\) | 1.91757 | − | 1.10711i | 0.0901947 | − | 0.0520740i | ||||
\(453\) | 17.0488 | + | 4.56821i | 0.801022 | + | 0.214633i | ||||
\(454\) | 12.6041 | 0.591539 | ||||||||
\(455\) | −11.3976 | − | 10.3401i | −0.534328 | − | 0.484751i | ||||
\(456\) | −5.67588 | −0.265797 | ||||||||
\(457\) | −11.7774 | − | 3.15575i | −0.550925 | − | 0.147620i | −0.0273911 | − | 0.999625i | \(-0.508720\pi\) |
−0.523534 | + | 0.852005i | \(0.675387\pi\) | |||||||
\(458\) | −22.4096 | + | 12.9382i | −1.04713 | + | 0.604562i | ||||
\(459\) | −0.586148 | − | 0.338413i | −0.0273591 | − | 0.0157958i | ||||
\(460\) | −3.03477 | − | 3.03477i | −0.141497 | − | 0.141497i | ||||
\(461\) | −27.9434 | + | 7.48740i | −1.30145 | + | 0.348723i | −0.841999 | − | 0.539479i | \(-0.818621\pi\) |
−0.459453 | + | 0.888202i | \(0.651955\pi\) | |||||||
\(462\) | −0.903688 | − | 3.20588i | −0.0420434 | − | 0.149151i | ||||
\(463\) | −19.1635 | − | 19.1635i | −0.890604 | − | 0.890604i | 0.103976 | − | 0.994580i | \(-0.466844\pi\) |
−0.994580 | + | 0.103976i | \(0.966844\pi\) | |||||||
\(464\) | −1.92256 | + | 3.32997i | −0.0892524 | + | 0.154590i | ||||
\(465\) | 0.576821 | + | 0.999083i | 0.0267494 | + | 0.0463313i | ||||
\(466\) | −1.06553 | + | 3.97663i | −0.0493599 | + | 0.184214i | ||||
\(467\) | 18.2994 | 0.846794 | 0.423397 | − | 0.905944i | \(-0.360838\pi\) | ||||
0.423397 | + | 0.905944i | \(0.360838\pi\) | |||||||
\(468\) | 3.44722 | − | 1.05674i | 0.159348 | − | 0.0488478i | ||||
\(469\) | −37.3488 | + | 0.483913i | −1.72461 | + | 0.0223450i | ||||
\(470\) | −0.955638 | − | 0.256062i | −0.0440803 | − | 0.0118113i | ||||
\(471\) | −9.35673 | − | 16.2063i | −0.431135 | − | 0.746748i | ||||
\(472\) | 2.05840 | − | 3.56525i | 0.0947455 | − | 0.164104i | ||||
\(473\) | 1.16112 | − | 1.16112i | 0.0533882 | − | 0.0533882i | ||||
\(474\) | 9.26369 | − | 2.48220i | 0.425496 | − | 0.114011i | ||||
\(475\) | −3.52206 | − | 13.1445i | −0.161603 | − | 0.603111i | ||||
\(476\) | −1.24971 | + | 1.28252i | −0.0572806 | + | 0.0587844i | ||||
\(477\) | −2.26429 | + | 3.92187i | −0.103675 | + | 0.179570i | ||||
\(478\) | 0.527537 | − | 0.304573i | 0.0241290 | − | 0.0139309i | ||||
\(479\) | 18.1880 | + | 4.87347i | 0.831033 | + | 0.222675i | 0.649164 | − | 0.760648i | \(-0.275119\pi\) |
0.181869 | + | 0.983323i | \(0.441785\pi\) | |||||||
\(480\) | 1.61321i | 0.0736327i | ||||||||
\(481\) | −7.59826 | + | 14.3161i | −0.346451 | + | 0.652756i | ||||
\(482\) | − | 16.4511i | − | 0.749329i | ||||||
\(483\) | −1.73354 | + | 6.82199i | −0.0788788 | + | 0.310411i | ||||
\(484\) | 4.70755 | + | 8.15371i | 0.213979 | + | 0.370623i | ||||
\(485\) | −20.1428 | − | 11.6294i | −0.914637 | − | 0.528066i | ||||
\(486\) | 0.707107 | + | 0.707107i | 0.0320750 | + | 0.0320750i | ||||
\(487\) | −11.1917 | − | 41.7681i | −0.507146 | − | 1.89270i | −0.447065 | − | 0.894502i | \(-0.647531\pi\) |
−0.0600816 | − | 0.998193i | \(-0.519136\pi\) | |||||||
\(488\) | −0.797833 | − | 2.97755i | −0.0361162 | − | 0.134788i | ||||
\(489\) | −4.68776 | + | 4.68776i | −0.211988 | + | 0.211988i | ||||
\(490\) | −9.92258 | − | 5.39097i | −0.448256 | − | 0.243539i | ||||
\(491\) | −21.2865 | + | 12.2898i | −0.960647 | + | 0.554630i | −0.896372 | − | 0.443303i | \(-0.853807\pi\) |
−0.0642746 | + | 0.997932i | \(0.520473\pi\) | |||||||
\(492\) | 1.69965 | − | 6.34318i | 0.0766262 | − | 0.285973i | ||||
\(493\) | −2.60247 | −0.117209 | ||||||||
\(494\) | 19.9436 | + | 4.58864i | 0.897305 | + | 0.206453i | ||||
\(495\) | − | 2.03092i | − | 0.0912830i | ||||||
\(496\) | −0.185087 | + | 0.690754i | −0.00831065 | + | 0.0310158i | ||||
\(497\) | −15.5637 | − | 26.1682i | −0.698128 | − | 1.17381i | ||||
\(498\) | 1.17974 | + | 0.681123i | 0.0528654 | + | 0.0305219i | ||||
\(499\) | −25.0509 | + | 25.0509i | −1.12143 | + | 1.12143i | −0.129905 | + | 0.991526i | \(0.541467\pi\) |
−0.991526 | + | 0.129905i | \(0.958533\pi\) | |||||||
\(500\) | −11.5272 | + | 3.08870i | −0.515511 | + | 0.138131i | ||||
\(501\) | 20.4602 | − | 5.48230i | 0.914095 | − | 0.244931i | ||||
\(502\) | −13.9086 | + | 13.9086i | −0.620773 | + | 0.620773i | ||||
\(503\) | 3.51019 | + | 2.02661i | 0.156512 | + | 0.0903621i | 0.576210 | − | 0.817301i | \(-0.304531\pi\) |
−0.419699 | + | 0.907664i | \(0.637864\pi\) | |||||||
\(504\) | 2.27396 | − | 1.35245i | 0.101290 | − | 0.0602429i | ||||
\(505\) | −3.73963 | + | 13.9565i | −0.166411 | + | 0.621056i | ||||
\(506\) | 3.34928i | 0.148893i | ||||||||
\(507\) | −12.9670 | + | 0.926223i | −0.575883 | + | 0.0411350i | ||||
\(508\) | 4.39848 | 0.195151 | ||||||||
\(509\) | 5.59731 | − | 20.8894i | 0.248096 | − | 0.925908i | −0.723706 | − | 0.690109i | \(-0.757563\pi\) |
0.971802 | − | 0.235799i | \(-0.0757707\pi\) | |||||||
\(510\) | −0.945581 | + | 0.545932i | −0.0418710 | + | 0.0241743i | ||||
\(511\) | −1.09392 | + | 1.95273i | −0.0483923 | + | 0.0863835i | ||||
\(512\) | −0.707107 | + | 0.707107i | −0.0312500 | + | 0.0312500i | ||||
\(513\) | 1.46903 | + | 5.48248i | 0.0648591 | + | 0.242057i | ||||
\(514\) | −7.40615 | − | 27.6401i | −0.326671 | − | 1.21915i | ||||
\(515\) | −3.32343 | − | 3.32343i | −0.146448 | − | 0.146448i | ||||
\(516\) | 1.12959 | + | 0.652168i | 0.0497273 | + | 0.0287101i | ||||
\(517\) | 0.386038 | + | 0.668637i | 0.0169779 | + | 0.0294066i | ||||
\(518\) | −2.92906 | + | 11.5267i | −0.128696 | + | 0.506455i | ||||
\(519\) | − | 15.6591i | − | 0.687359i | ||||||
\(520\) | 1.30419 | − | 5.66842i | 0.0571927 | − | 0.248577i | ||||
\(521\) | 33.4299i | 1.46459i | 0.680988 | + | 0.732295i | \(0.261551\pi\) | ||||
−0.680988 | + | 0.732295i | \(0.738449\pi\) | |||||||
\(522\) | 3.71409 | + | 0.995188i | 0.162561 | + | 0.0435582i | ||||
\(523\) | −33.6310 | + | 19.4168i | −1.47058 | + | 0.849039i | −0.999454 | − | 0.0330274i | \(-0.989485\pi\) |
−0.471125 | + | 0.882067i | \(0.656152\pi\) | |||||||
\(524\) | −2.88267 | + | 4.99292i | −0.125930 | + | 0.218117i | ||||
\(525\) | 4.54314 | + | 4.42691i | 0.198279 | + | 0.193206i | ||||
\(526\) | −4.39418 | − | 16.3993i | −0.191595 | − | 0.715044i | ||||
\(527\) | −0.467520 | + | 0.125272i | −0.0203655 | + | 0.00545692i | ||||
\(528\) | 0.890197 | − | 0.890197i | 0.0387409 | − | 0.0387409i | ||||
\(529\) | −7.96109 | + | 13.7890i | −0.346134 | + | 0.599522i | ||||
\(530\) | 3.65278 | + | 6.32680i | 0.158667 | + | 0.274819i | ||||
\(531\) | −3.97652 | − | 1.06551i | −0.172566 | − | 0.0462390i | ||||
\(532\) | 15.0157 | − | 0.194552i | 0.651014 | − | 0.00843491i | ||||
\(533\) | −11.1003 | + | 20.9143i | −0.480806 | + | 0.905897i | ||||
\(534\) | 9.11766 | 0.394560 | ||||||||
\(535\) | 0.933809 | − | 3.48502i | 0.0403721 | − | 0.150671i | ||||
\(536\) | −7.05885 | − | 12.2263i | −0.304896 | − | 0.528095i | ||||
\(537\) | 6.18019 | − | 10.7044i | 0.266695 | − | 0.461929i | ||||
\(538\) | −0.309461 | − | 0.309461i | −0.0133418 | − | 0.0133418i | ||||
\(539\) | 2.50062 | + | 8.45027i | 0.107709 | + | 0.363979i | ||||
\(540\) | 1.55824 | − | 0.417530i | 0.0670561 | − | 0.0179676i | ||||
\(541\) | −29.7301 | − | 29.7301i | −1.27820 | − | 1.27820i | −0.941676 | − | 0.336522i | \(-0.890749\pi\) |
−0.336522 | − | 0.941676i | \(-0.609251\pi\) | |||||||
\(542\) | −26.6840 | − | 15.4060i | −1.14617 | − | 0.661744i | ||||
\(543\) | −8.71180 | + | 5.02976i | −0.373859 | + | 0.215848i | ||||
\(544\) | −0.653764 | − | 0.175175i | −0.0280299 | − | 0.00751058i | ||||
\(545\) | 19.5659 | 0.838110 | ||||||||
\(546\) | −9.08349 | + | 2.91379i | −0.388738 | + | 0.124699i | ||||
\(547\) | 5.37130 | 0.229660 | 0.114830 | − | 0.993385i | \(-0.463368\pi\) | ||||
0.114830 | + | 0.993385i | \(0.463368\pi\) | |||||||
\(548\) | −11.1130 | − | 2.97771i | −0.474722 | − | 0.127201i | ||||
\(549\) | −2.66960 | + | 1.54130i | −0.113936 | + | 0.0657809i | ||||
\(550\) | 2.61396 | + | 1.50917i | 0.111460 | + | 0.0643513i | ||||
\(551\) | 15.4322 | + | 15.4322i | 0.657433 | + | 0.657433i | ||||
\(552\) | −2.56977 | + | 0.688566i | −0.109376 | + | 0.0293073i | ||||
\(553\) | −24.4223 | + | 6.88426i | −1.03854 | + | 0.292749i | ||||
\(554\) | −0.207070 | − | 0.207070i | −0.00879757 | − | 0.00879757i | ||||
\(555\) | −3.62582 | + | 6.28010i | −0.153907 | + | 0.266575i | ||||
\(556\) | 0.329390 | + | 0.570520i | 0.0139692 | + | 0.0241955i | ||||
\(557\) | 11.1852 | − | 41.7436i | 0.473930 | − | 1.76873i | −0.151505 | − | 0.988456i | \(-0.548412\pi\) |
0.625436 | − | 0.780276i | \(-0.284921\pi\) | |||||||
\(558\) | 0.715121 | 0.0302735 | ||||||||
\(559\) | −3.44184 | − | 3.20476i | −0.145574 | − | 0.135547i | ||||
\(560\) | −0.0552961 | − | 4.26780i | −0.00233668 | − | 0.180347i | ||||
\(561\) | 0.823042 | + | 0.220533i | 0.0347489 | + | 0.00931093i | ||||
\(562\) | 11.5574 | + | 20.0181i | 0.487521 | + | 0.844412i | ||||
\(563\) | 16.0744 | − | 27.8417i | 0.677457 | − | 1.17339i | −0.298288 | − | 0.954476i | \(-0.596415\pi\) |
0.975744 | − | 0.218913i | \(-0.0702512\pi\) | |||||||
\(564\) | −0.433654 | + | 0.433654i | −0.0182601 | + | 0.0182601i | ||||
\(565\) | −3.45028 | + | 0.924501i | −0.145155 | + | 0.0388941i | ||||
\(566\) | 2.22194 | + | 8.29239i | 0.0933951 | + | 0.348555i | ||||
\(567\) | −1.89491 | − | 1.84643i | −0.0795787 | − | 0.0775429i | ||||
\(568\) | 5.75390 | − | 9.96604i | 0.241428 | − | 0.418166i | ||||
\(569\) | −33.9613 | + | 19.6076i | −1.42373 | + | 0.821993i | −0.996616 | − | 0.0822032i | \(-0.973804\pi\) |
−0.427118 | + | 0.904196i | \(0.640471\pi\) | |||||||
\(570\) | 8.84440 | + | 2.36985i | 0.370451 | + | 0.0992621i | ||||
\(571\) | 9.23258i | 0.386371i | 0.981162 | + | 0.193186i | \(0.0618820\pi\) | ||||
−0.981162 | + | 0.193186i | \(0.938118\pi\) | |||||||
\(572\) | −3.84760 | + | 2.40825i | −0.160876 | + | 0.100694i | ||||
\(573\) | 19.5104i | 0.815058i | ||||||||
\(574\) | −4.27905 | + | 16.8393i | −0.178604 | + | 0.702860i | ||||
\(575\) | −3.18924 | − | 5.52392i | −0.133000 | − | 0.230364i | ||||
\(576\) | 0.866025 | + | 0.500000i | 0.0360844 | + | 0.0208333i | ||||
\(577\) | −5.57617 | − | 5.57617i | −0.232139 | − | 0.232139i | 0.581446 | − | 0.813585i | \(-0.302487\pi\) |
−0.813585 | + | 0.581446i | \(0.802487\pi\) | |||||||
\(578\) | 4.28136 | + | 15.9783i | 0.178081 | + | 0.664608i | ||||
\(579\) | −3.64787 | − | 13.6140i | −0.151600 | − | 0.565780i | ||||
\(580\) | 4.38617 | − | 4.38617i | 0.182126 | − | 0.182126i | ||||
\(581\) | −3.14438 | − | 1.76149i | −0.130451 | − | 0.0730791i | ||||
\(582\) | −12.4861 | + | 7.20888i | −0.517567 | + | 0.298818i | ||||
\(583\) | 1.47557 | − | 5.50690i | 0.0611119 | − | 0.228073i | ||||
\(584\) | −0.845982 | −0.0350070 | ||||||||
\(585\) | −5.81282 | + | 0.207339i | −0.240331 | + | 0.00857242i | ||||
\(586\) | − | 29.9512i | − | 1.23727i | ||||||
\(587\) | 3.26923 | − | 12.2009i | 0.134935 | − | 0.503586i | −0.865063 | − | 0.501664i | \(-0.832721\pi\) |
0.999998 | − | 0.00192225i | \(-0.000611872\pi\) | |||||||
\(588\) | −5.96946 | + | 3.65589i | −0.246176 | + | 0.150766i | ||||
\(589\) | 3.51515 | + | 2.02947i | 0.144839 | + | 0.0836229i | ||||
\(590\) | −4.69608 | + | 4.69608i | −0.193335 | + | 0.193335i | ||||
\(591\) | −20.8117 | + | 5.57649i | −0.856080 | + | 0.229386i | ||||
\(592\) | −4.34198 | + | 1.16343i | −0.178454 | + | 0.0478167i | ||||
\(593\) | −24.2459 | + | 24.2459i | −0.995660 | + | 0.995660i | −0.999991 | − | 0.00433041i | \(-0.998622\pi\) |
0.00433041 | + | 0.999991i | \(0.498622\pi\) | |||||||
\(594\) | −1.09026 | − | 0.629465i | −0.0447341 | − | 0.0258272i | ||||
\(595\) | 2.48285 | − | 1.47669i | 0.101787 | − | 0.0605384i | ||||
\(596\) | −5.09002 | + | 18.9962i | −0.208495 | + | 0.778115i | ||||
\(597\) | − | 12.0639i | − | 0.493742i | ||||||
\(598\) | 9.58617 | − | 0.341932i | 0.392008 | − | 0.0139826i | ||||
\(599\) | −1.17565 | −0.0480357 | −0.0240179 | − | 0.999712i | \(-0.507646\pi\) | ||||
−0.0240179 | + | 0.999712i | \(0.507646\pi\) | |||||||
\(600\) | −0.620531 | + | 2.31585i | −0.0253331 | + | 0.0945443i | ||||
\(601\) | 28.7400 | − | 16.5930i | 1.17233 | − | 0.676843i | 0.218100 | − | 0.975926i | \(-0.430014\pi\) |
0.954227 | + | 0.299083i | \(0.0966808\pi\) | |||||||
\(602\) | −3.01071 | − | 1.68661i | −0.122707 | − | 0.0687411i | ||||
\(603\) | −9.98272 | + | 9.98272i | −0.406528 | + | 0.406528i | ||||
\(604\) | −4.56821 | − | 17.0488i | −0.185878 | − | 0.693706i | ||||
\(605\) | −3.93108 | − | 14.6710i | −0.159821 | − | 0.596461i | ||||
\(606\) | 6.33324 | + | 6.33324i | 0.257270 | + | 0.257270i | ||||
\(607\) | 6.21402 | + | 3.58767i | 0.252219 | + | 0.145619i | 0.620780 | − | 0.783985i | \(-0.286816\pi\) |
−0.368561 | + | 0.929604i | \(0.620149\pi\) | |||||||
\(608\) | 2.83794 | + | 4.91546i | 0.115094 | + | 0.199348i | ||||
\(609\) | −9.85985 | − | 2.50549i | −0.399541 | − | 0.101528i | ||||
\(610\) | 4.97287i | 0.201346i | ||||||||
\(611\) | 1.87434 | − | 1.17316i | 0.0758275 | − | 0.0474612i | ||||
\(612\) | 0.676826i | 0.0273591i | ||||||||
\(613\) | −2.54565 | − | 0.682106i | −0.102818 | − | 0.0275500i | 0.207043 | − | 0.978332i | \(-0.433616\pi\) |
−0.309861 | + | 0.950782i | \(0.600283\pi\) | |||||||
\(614\) | −7.23805 | + | 4.17889i | −0.292104 | + | 0.168646i | ||||
\(615\) | −5.29694 | + | 9.17456i | −0.213593 | + | 0.369954i | ||||
\(616\) | −2.32453 | + | 2.38556i | −0.0936580 | + | 0.0961168i | ||||
\(617\) | 0.444260 | + | 1.65800i | 0.0178852 | + | 0.0667486i | 0.974292 | − | 0.225290i | \(-0.0723330\pi\) |
−0.956406 | + | 0.292039i | \(0.905666\pi\) | |||||||
\(618\) | −2.81419 | + | 0.754060i | −0.113203 | + | 0.0303328i | ||||
\(619\) | 9.88120 | − | 9.88120i | 0.397159 | − | 0.397159i | −0.480071 | − | 0.877230i | \(-0.659389\pi\) |
0.877230 | + | 0.480071i | \(0.159389\pi\) | |||||||
\(620\) | 0.576821 | − | 0.999083i | 0.0231657 | − | 0.0401241i | ||||
\(621\) | 1.33021 | + | 2.30399i | 0.0533794 | + | 0.0924559i | ||||
\(622\) | 28.8849 | + | 7.73969i | 1.15818 | + | 0.310333i | ||||
\(623\) | −24.1210 | + | 0.312526i | −0.966389 | + | 0.0125211i | ||||
\(624\) | −2.63877 | − | 2.45701i | −0.105635 | − | 0.0983590i | ||||
\(625\) | 7.26402 | 0.290561 | ||||||||
\(626\) | −2.59507 | + | 9.68493i | −0.103720 | + | 0.387088i | ||||
\(627\) | −3.57277 | − | 6.18821i | −0.142683 | − | 0.247133i | ||||
\(628\) | −9.35673 | + | 16.2063i | −0.373374 | + | 0.646703i | ||||
\(629\) | −2.15133 | − | 2.15133i | −0.0857790 | − | 0.0857790i | ||||
\(630\) | −4.10807 | + | 1.15800i | −0.163669 | + | 0.0461358i | ||||
\(631\) | −10.2068 | + | 2.73490i | −0.406325 | + | 0.108874i | −0.456192 | − | 0.889881i | \(-0.650787\pi\) |
0.0498669 | + | 0.998756i | \(0.484120\pi\) | |||||||
\(632\) | −6.78150 | − | 6.78150i | −0.269753 | − | 0.269753i | ||||
\(633\) | −3.02315 | − | 1.74542i | −0.120160 | − | 0.0693742i | ||||
\(634\) | 18.9326 | − | 10.9307i | 0.751908 | − | 0.434114i | ||||
\(635\) | −6.85390 | − | 1.83650i | −0.271989 | − | 0.0728792i | ||||
\(636\) | 4.52858 | 0.179570 | ||||||||
\(637\) | 23.9308 | − | 8.01988i | 0.948171 | − | 0.317759i | ||||
\(638\) | −4.84072 | −0.191646 | ||||||||
\(639\) | −11.1157 | − | 2.97844i | −0.439729 | − | 0.117825i | ||||
\(640\) | 1.39708 | − | 0.806606i | 0.0552245 | − | 0.0318839i | ||||
\(641\) | 28.5856 | + | 16.5039i | 1.12906 | + | 0.651865i | 0.943699 | − | 0.330805i | \(-0.107320\pi\) |
0.185364 | + | 0.982670i | \(0.440654\pi\) | |||||||
\(642\) | −1.58145 | − | 1.58145i | −0.0624149 | − | 0.0624149i | ||||
\(643\) | 21.0179 | − | 5.63174i | 0.828866 | − | 0.222094i | 0.180647 | − | 0.983548i | \(-0.442181\pi\) |
0.648219 | + | 0.761454i | \(0.275514\pi\) | |||||||
\(644\) | 6.77479 | − | 1.90971i | 0.266964 | − | 0.0752530i | ||||
\(645\) | −1.48787 | − | 1.48787i | −0.0585849 | − | 0.0585849i | ||||
\(646\) | −1.92079 | + | 3.32691i | −0.0755725 | + | 0.130895i | ||||
\(647\) | 22.1507 | + | 38.3662i | 0.870835 | + | 1.50833i | 0.861134 | + | 0.508378i | \(0.169755\pi\) |
0.00970138 | + | 0.999953i | \(0.496912\pi\) | |||||||
\(648\) | 0.258819 | − | 0.965926i | 0.0101674 | − | 0.0379452i | ||||
\(649\) | 5.18276 | 0.203441 | ||||||||
\(650\) | 4.05263 | − | 7.63566i | 0.158957 | − | 0.299495i | ||||
\(651\) | −1.89187 | + | 0.0245122i | −0.0741484 | + | 0.000960709i | ||||
\(652\) | 6.40360 | + | 1.71584i | 0.250784 | + | 0.0671974i | ||||
\(653\) | −6.62523 | − | 11.4752i | −0.259265 | − | 0.449061i | 0.706780 | − | 0.707433i | \(-0.250147\pi\) |
−0.966045 | + | 0.258373i | \(0.916814\pi\) | |||||||
\(654\) | 6.06426 | − | 10.5036i | 0.237131 | − | 0.410724i | ||||
\(655\) | 6.57659 | − | 6.57659i | 0.256969 | − | 0.256969i | ||||
\(656\) | −6.34318 | + | 1.69965i | −0.247660 | + | 0.0663602i | ||||
\(657\) | 0.218956 | + | 0.817156i | 0.00854230 | + | 0.0318803i | ||||
\(658\) | 1.13238 | − | 1.16211i | 0.0441448 | − | 0.0453037i | ||||
\(659\) | −0.814057 | + | 1.40999i | −0.0317112 | + | 0.0549254i | −0.881445 | − | 0.472286i | \(-0.843429\pi\) |
0.849734 | + | 0.527211i | \(0.176762\pi\) | |||||||
\(660\) | −1.75883 | + | 1.01546i | −0.0684623 | + | 0.0395267i | ||||
\(661\) | −12.7530 | − | 3.41716i | −0.496035 | − | 0.132912i | 0.00212431 | − | 0.999998i | \(-0.499324\pi\) |
−0.498159 | + | 0.867086i | \(0.665990\pi\) | |||||||
\(662\) | 2.54832i | 0.0990434i | ||||||||
\(663\) | 0.547177 | − | 2.37819i | 0.0212506 | − | 0.0923614i | ||||
\(664\) | − | 1.36225i | − | 0.0528654i | ||||||
\(665\) | −23.4794 | − | 5.96635i | −0.910490 | − | 0.231365i | ||||
\(666\) | 2.24758 | + | 3.89292i | 0.0870918 | + | 0.150847i | ||||
\(667\) | 8.85909 | + | 5.11480i | 0.343025 | + | 0.198046i | ||||
\(668\) | −14.9779 | − | 14.9779i | −0.579513 | − | 0.579513i | ||||
\(669\) | 7.49967 | + | 27.9892i | 0.289954 | + | 1.08212i | ||||
\(670\) | 5.89456 | + | 21.9988i | 0.227727 | + | 0.849888i | ||||
\(671\) | 2.74412 | − | 2.74412i | 0.105935 | − | 0.105935i | ||||
\(672\) | −2.30823 | − | 1.29308i | −0.0890421 | − | 0.0498816i | ||||
\(673\) | 19.6542 | − | 11.3474i | 0.757615 | − | 0.437409i | −0.0708236 | − | 0.997489i | \(-0.522563\pi\) |
0.828439 | + | 0.560079i | \(0.189229\pi\) | |||||||
\(674\) | 2.70688 | − | 10.1022i | 0.104265 | − | 0.389123i | ||||
\(675\) | 2.39755 | 0.0922817 | ||||||||
\(676\) | 7.28561 | + | 10.7666i | 0.280216 | + | 0.414100i | ||||
\(677\) | − | 16.6317i | − | 0.639210i | −0.947551 | − | 0.319605i | \(-0.896450\pi\) | ||
0.947551 | − | 0.319605i | \(-0.103550\pi\) | |||||||
\(678\) | −0.573081 | + | 2.13877i | −0.0220090 | + | 0.0821389i | ||||
\(679\) | 32.7854 | − | 19.4993i | 1.25819 | − | 0.748314i | ||||
\(680\) | 0.945581 | + | 0.545932i | 0.0362614 | + | 0.0209355i | ||||
\(681\) | −8.91244 | + | 8.91244i | −0.341525 | + | 0.341525i | ||||
\(682\) | −0.869610 | + | 0.233011i | −0.0332991 | + | 0.00892246i | ||||
\(683\) | 17.7429 | − | 4.75421i | 0.678915 | − | 0.181915i | 0.0971477 | − | 0.995270i | \(-0.469028\pi\) |
0.581767 | + | 0.813355i | \(0.302361\pi\) | |||||||
\(684\) | 4.01345 | − | 4.01345i | 0.153458 | − | 0.153458i | ||||
\(685\) | 16.0734 | + | 9.27999i | 0.614134 | + | 0.354570i | ||||
\(686\) | 15.6671 | − | 9.87638i | 0.598172 | − | 0.377082i | ||||
\(687\) | 6.69730 | − | 24.9947i | 0.255518 | − | 0.953606i | ||||
\(688\) | − | 1.30434i | − | 0.0497273i | ||||||
\(689\) | −15.9123 | − | 3.66111i | −0.606210 | − | 0.139477i | ||||
\(690\) | 4.29182 | 0.163387 | ||||||||
\(691\) | 4.10071 | − | 15.3041i | 0.155999 | − | 0.582195i | −0.843019 | − | 0.537883i | \(-0.819224\pi\) |
0.999018 | − | 0.0443111i | \(-0.0141093\pi\) | |||||||
\(692\) | −13.5612 | + | 7.82956i | −0.515519 | + | 0.297635i | ||||
\(693\) | 2.90590 | + | 1.62790i | 0.110386 | + | 0.0618387i | ||||
\(694\) | 4.91742 | − | 4.91742i | 0.186663 | − | 0.186663i | ||||
\(695\) | −0.275060 | − | 1.02654i | −0.0104336 | − | 0.0389389i | ||||
\(696\) | −0.995188 | − | 3.71409i | −0.0377225 | − | 0.140782i | ||||
\(697\) | −3.14286 | − | 3.14286i | −0.119044 | − | 0.119044i | ||||
\(698\) | −10.3498 | − | 5.97548i | −0.391747 | − | 0.226175i | ||||
\(699\) | −2.05845 | − | 3.56535i | −0.0778578 | − | 0.134854i | ||||
\(700\) | 1.56225 | − | 6.14793i | 0.0590476 | − | 0.232370i | ||||
\(701\) | − | 23.1026i | − | 0.872572i | −0.899808 | − | 0.436286i | \(-0.856294\pi\) | ||
0.899808 | − | 0.436286i | \(-0.143706\pi\) | |||||||
\(702\) | −1.69032 | + | 3.18478i | −0.0637971 | + | 0.120202i | ||||
\(703\) | 25.5139i | 0.962277i | ||||||||
\(704\) | −1.21603 | − | 0.325835i | −0.0458309 | − | 0.0122804i | ||||
\(705\) | 0.856802 | − | 0.494675i | 0.0322690 | − | 0.0186305i | ||||
\(706\) | 18.0537 | − | 31.2699i | 0.679460 | − | 1.17686i | ||||
\(707\) | −16.9719 | − | 16.5377i | −0.638292 | − | 0.621964i | ||||
\(708\) | 1.06551 | + | 3.97652i | 0.0400442 | + | 0.149447i | ||||
\(709\) | −19.2247 | + | 5.15124i | −0.721999 | + | 0.193459i | −0.601063 | − | 0.799201i | \(-0.705256\pi\) |
−0.120935 | + | 0.992660i | \(0.538589\pi\) | |||||||
\(710\) | −13.1271 | + | 13.1271i | −0.492651 | + | 0.492651i | ||||
\(711\) | −4.79524 | + | 8.30560i | −0.179836 | + | 0.311484i | ||||
\(712\) | −4.55883 | − | 7.89613i | −0.170849 | − | 0.295920i | ||||
\(713\) | 1.83769 | + | 0.492408i | 0.0688221 | + | 0.0184408i | ||||
\(714\) | −0.0231996 | − | 1.79056i | −0.000868222 | − | 0.0670101i | ||||
\(715\) | 7.00102 | − | 2.14615i | 0.261823 | − | 0.0802615i | ||||
\(716\) | −12.3604 | −0.461929 | ||||||||
\(717\) | −0.157659 | + | 0.588391i | −0.00588788 | + | 0.0219738i | ||||
\(718\) | 12.1741 | + | 21.0862i | 0.454334 | + | 0.786930i | ||||
\(719\) | −17.3814 | + | 30.1054i | −0.648216 | + | 1.12274i | 0.335332 | + | 0.942100i | \(0.391151\pi\) |
−0.983549 | + | 0.180644i | \(0.942182\pi\) | |||||||
\(720\) | −1.14071 | − | 1.14071i | −0.0425119 | − | 0.0425119i | ||||
\(721\) | 7.41918 | − | 2.09135i | 0.276305 | − | 0.0778860i | ||||
\(722\) | 12.7653 | − | 3.42046i | 0.475076 | − | 0.127296i | ||||
\(723\) | 11.6327 | + | 11.6327i | 0.432625 | + | 0.432625i | ||||
\(724\) | 8.71180 | + | 5.02976i | 0.323771 | + | 0.186929i | ||||
\(725\) | 7.98375 | − | 4.60942i | 0.296509 | − | 0.171190i | ||||
\(726\) | −9.09429 | − | 2.43681i | −0.337521 | − | 0.0904384i | ||||
\(727\) | 20.5762 | 0.763130 | 0.381565 | − | 0.924342i | \(-0.375385\pi\) | ||||
0.381565 | + | 0.924342i | \(0.375385\pi\) | |||||||
\(728\) | 7.06516 | + | 6.40964i | 0.261852 | + | 0.237557i | ||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | 1.31825 | + | 0.353223i | 0.0487905 | + | 0.0130734i | ||||
\(731\) | 0.764534 | − | 0.441404i | 0.0282773 | − | 0.0163259i | ||||
\(732\) | 2.66960 | + | 1.54130i | 0.0986713 | + | 0.0569679i | ||||
\(733\) | 24.8116 | + | 24.8116i | 0.916439 | + | 0.916439i | 0.996768 | − | 0.0803296i | \(-0.0255973\pi\) |
−0.0803296 | + | 0.996768i | \(0.525597\pi\) | |||||||
\(734\) | −23.5485 | + | 6.30979i | −0.869189 | + | 0.232899i | ||||
\(735\) | 10.8283 | − | 3.20433i | 0.399408 | − | 0.118194i | ||||
\(736\) | 1.88120 | + | 1.88120i | 0.0693419 | + | 0.0693419i | ||||
\(737\) | 8.88660 | − | 15.3920i | 0.327342 | − | 0.566973i | ||||
\(738\) | 3.28347 | + | 5.68714i | 0.120866 | + | 0.209347i | ||||
\(739\) | −2.25700 | + | 8.42323i | −0.0830250 | + | 0.309854i | −0.994933 | − | 0.100541i | \(-0.967942\pi\) |
0.911908 | + | 0.410395i | \(0.134609\pi\) | |||||||
\(740\) | 7.25163 | 0.266575 | ||||||||
\(741\) | −17.3469 | + | 10.8576i | −0.637255 | + | 0.398864i | ||||
\(742\) | −11.9805 | + | 0.155226i | −0.439818 | + | 0.00569853i | ||||
\(743\) | 43.4660 | + | 11.6467i | 1.59461 | + | 0.427275i | 0.943410 | − | 0.331628i | \(-0.107598\pi\) |
0.651203 | + | 0.758904i | \(0.274265\pi\) | |||||||
\(744\) | −0.357560 | − | 0.619313i | −0.0131088 | − | 0.0227051i | ||||
\(745\) | 15.8630 | − | 27.4755i | 0.581175 | − | 1.00662i | ||||
\(746\) | 8.18887 | − | 8.18887i | 0.299816 | − | 0.299816i | ||||
\(747\) | −1.31583 | + | 0.352575i | −0.0481437 | + | 0.0129001i | ||||
\(748\) | −0.220533 | − | 0.823042i | −0.00806350 | − | 0.0300934i | ||||
\(749\) | 4.23798 | + | 4.12956i | 0.154852 | + | 0.150891i | ||||
\(750\) | 5.96691 | − | 10.3350i | 0.217881 | − | 0.377380i | ||||
\(751\) | 14.9462 | − | 8.62922i | 0.545396 | − | 0.314885i | −0.201867 | − | 0.979413i | \(-0.564701\pi\) |
0.747263 | + | 0.664528i | \(0.231367\pi\) | |||||||
\(752\) | 0.592382 | + | 0.158728i | 0.0216020 | + | 0.00578823i | ||||
\(753\) | − | 19.6698i | − | 0.716806i | ||||||
\(754\) | 0.494196 | + | 13.8549i | 0.0179975 | + | 0.504567i | ||||
\(755\) | 28.4735i | 1.03626i | ||||||||
\(756\) | −0.651604 | + | 2.56426i | −0.0236986 | + | 0.0932611i | ||||
\(757\) | 8.50009 | + | 14.7226i | 0.308941 | + | 0.535101i | 0.978131 | − | 0.207990i | \(-0.0666921\pi\) |
−0.669190 | + | 0.743091i | \(0.733359\pi\) | |||||||
\(758\) | 13.3099 | + | 7.68447i | 0.483437 | + | 0.279113i | ||||
\(759\) | −2.36830 | − | 2.36830i | −0.0859637 | − | 0.0859637i | ||||
\(760\) | −2.36985 | − | 8.84440i | −0.0859635 | − | 0.320820i | ||||
\(761\) | 1.85372 | + | 6.91816i | 0.0671971 | + | 0.250783i | 0.991351 | − | 0.131237i | \(-0.0418950\pi\) |
−0.924154 | + | 0.382021i | \(0.875228\pi\) | |||||||
\(762\) | −3.11020 | + | 3.11020i | −0.112671 | + | 0.112671i | ||||
\(763\) | −15.6831 | + | 27.9955i | −0.567768 | + | 1.01350i | ||||
\(764\) | 16.8965 | − | 9.75519i | 0.611293 | − | 0.352930i | ||||
\(765\) | 0.282595 | − | 1.05466i | 0.0102172 | − | 0.0381313i | ||||
\(766\) | 34.4259 | 1.24386 | ||||||||
\(767\) | −0.529114 | − | 14.8339i | −0.0191052 | − | 0.535621i | ||||
\(768\) | − | 1.00000i | − | 0.0360844i | ||||||
\(769\) | 0.609923 | − | 2.27626i | 0.0219944 | − | 0.0820841i | −0.954056 | − | 0.299627i | \(-0.903138\pi\) |
0.976051 | + | 0.217543i | \(0.0698043\pi\) | |||||||
\(770\) | 4.61822 | − | 2.74672i | 0.166429 | − | 0.0989848i | ||||
\(771\) | 24.7815 | + | 14.3076i | 0.892483 | + | 0.515275i | ||||
\(772\) | −9.96616 | + | 9.96616i | −0.358690 | + | 0.358690i | ||||
\(773\) | −23.7814 | + | 6.37222i | −0.855359 | + | 0.229193i | −0.659746 | − | 0.751489i | \(-0.729336\pi\) |
−0.195613 | + | 0.980681i | \(0.562670\pi\) | |||||||
\(774\) | −1.25989 | + | 0.337587i | −0.0452859 | + | 0.0121343i | ||||
\(775\) | 1.21236 | − | 1.21236i | 0.0435493 | − | 0.0435493i | ||||
\(776\) | 12.4861 | + | 7.20888i | 0.448226 | + | 0.258784i | ||||
\(777\) | −6.07946 | − | 10.2218i | −0.218100 | − | 0.366704i | ||||
\(778\) | −3.80444 | + | 14.1983i | −0.136396 | + | 0.509035i | ||||
\(779\) | 37.2732i | 1.33545i | ||||||||
\(780\) | 3.08597 | + | 4.93038i | 0.110495 | + | 0.176536i | ||||
\(781\) | 14.4875 | 0.518404 | ||||||||
\(782\) | −0.466040 | + | 1.73928i | −0.0166655 | + | 0.0621966i | ||||
\(783\) | −3.32997 | + | 1.92256i | −0.119003 | + | 0.0687066i | ||||
\(784\) | 6.15082 | + | 3.34176i | 0.219672 | + | 0.119349i | ||||
\(785\) | 21.3467 | − | 21.3467i | 0.761896 | − | 0.761896i | ||||
\(786\) | −1.49218 | − | 5.56888i | −0.0532242 | − | 0.198635i | ||||
\(787\) | −4.86775 | − | 18.1667i | −0.173517 | − | 0.647573i | −0.996800 | − | 0.0799416i | \(-0.974527\pi\) |
0.823283 | − | 0.567631i | \(-0.192140\pi\) | |||||||
\(788\) | 15.2352 | + | 15.2352i | 0.542733 | + | 0.542733i | ||||
\(789\) | 14.7032 | + | 8.48891i | 0.523449 | + | 0.302213i | ||||
\(790\) | 7.73574 | + | 13.3987i | 0.275225 | + | 0.476704i | ||||
\(791\) | 1.44279 | − | 5.67782i | 0.0512998 | − | 0.201880i | ||||
\(792\) | 1.25893i | 0.0447341i | ||||||||
\(793\) | −8.13425 | − | 7.57395i | −0.288856 | − | 0.268959i | ||||
\(794\) | 13.9893i | 0.496462i | ||||||||
\(795\) | −7.05663 | − | 1.89082i | −0.250273 | − | 0.0670604i | ||||
\(796\) | −10.4476 | + | 6.03194i | −0.370307 | + | 0.213797i | ||||
\(797\) | 0.264056 | − | 0.457358i | 0.00935334 | − | 0.0162005i | −0.861311 | − | 0.508078i | \(-0.830356\pi\) |
0.870664 | + | 0.491878i | \(0.163689\pi\) | |||||||
\(798\) | −10.4801 | + | 10.7553i | −0.370993 | + | 0.380733i | ||||
\(799\) | 0.107431 | + | 0.400940i | 0.00380065 | + | 0.0141842i | ||||
\(800\) | 2.31585 | − | 0.620531i | 0.0818778 | − | 0.0219391i | ||||
\(801\) | −6.44716 | + | 6.44716i | −0.227799 | + | 0.227799i | ||||
\(802\) | 5.61103 | − | 9.71858i | 0.198132 | − | 0.343175i | ||||
\(803\) | −0.532516 | − | 0.922345i | −0.0187921 | − | 0.0325488i | ||||
\(804\) | 13.6367 | + | 3.65393i | 0.480928 | + | 0.128864i | ||||
\(805\) | −11.3541 | + | 0.147111i | −0.400180 | + | 0.00518497i | ||||
\(806\) | 0.755696 | + | 2.46518i | 0.0266182 | + | 0.0868321i | ||||
\(807\) | 0.437643 | 0.0154058 | ||||||||
\(808\) | 2.31813 | − | 8.65137i | 0.0815514 | − | 0.304354i | ||||
\(809\) | 22.7839 | + | 39.4629i | 0.801040 | + | 1.38744i | 0.918932 | + | 0.394416i | \(0.129053\pi\) |
−0.117892 | + | 0.993026i | \(0.537614\pi\) | |||||||
\(810\) | −0.806606 | + | 1.39708i | −0.0283412 | + | 0.0490885i | ||||
\(811\) | −24.8555 | − | 24.8555i | −0.872796 | − | 0.872796i | 0.119980 | − | 0.992776i | \(-0.461717\pi\) |
−0.992776 | + | 0.119980i | \(0.961717\pi\) | |||||||
\(812\) | 2.76011 | + | 9.79163i | 0.0968608 | + | 0.343619i | ||||
\(813\) | 29.7621 | − | 7.97473i | 1.04380 | − | 0.279686i | ||||
\(814\) | −4.00157 | − | 4.00157i | −0.140255 | − | 0.140255i | ||||
\(815\) | −9.26194 | − | 5.34739i | −0.324432 | − | 0.187311i | ||||
\(816\) | 0.586148 | − | 0.338413i | 0.0205193 | − | 0.0118468i | ||||
\(817\) | −7.15100 | − | 1.91610i | −0.250182 | − | 0.0670360i | ||||
\(818\) | −26.6087 | −0.930352 | ||||||||
\(819\) | 4.36264 | − | 8.48336i | 0.152443 | − | 0.296433i | ||||
\(820\) | 10.5939 | 0.369954 | ||||||||
\(821\) | −15.6730 | − | 4.19958i | −0.546993 | − | 0.146566i | −0.0252688 | − | 0.999681i | \(-0.508044\pi\) |
−0.521724 | + | 0.853114i | \(0.674711\pi\) | |||||||
\(822\) | 9.96361 | − | 5.75249i | 0.347521 | − | 0.200641i | ||||
\(823\) | 38.6613 | + | 22.3211i | 1.34765 | + | 0.778065i | 0.987916 | − | 0.154991i | \(-0.0495349\pi\) |
0.359732 | + | 0.933056i | \(0.382868\pi\) | |||||||
\(824\) | 2.06013 | + | 2.06013i | 0.0717681 | + | 0.0717681i | ||||
\(825\) | −2.91550 | + | 0.781205i | −0.101505 | + | 0.0271981i | ||||
\(826\) | −2.95513 | − | 10.4835i | −0.102822 | − | 0.364767i | ||||
\(827\) | 7.82684 | + | 7.82684i | 0.272166 | + | 0.272166i | 0.829972 | − | 0.557806i | \(-0.188357\pi\) |
−0.557806 | + | 0.829972i | \(0.688357\pi\) | |||||||
\(828\) | 1.33021 | − | 2.30399i | 0.0462279 | − | 0.0800691i | ||||
\(829\) | 19.1506 | + | 33.1699i | 0.665129 | + | 1.15204i | 0.979250 | + | 0.202655i | \(0.0649570\pi\) |
−0.314121 | + | 0.949383i | \(0.601710\pi\) | |||||||
\(830\) | −0.568779 | + | 2.12271i | −0.0197426 | + | 0.0736804i | ||||
\(831\) | 0.292842 | 0.0101586 | ||||||||
\(832\) | −0.808446 | + | 3.51375i | −0.0280278 | + | 0.121817i | ||||
\(833\) | 0.122750 | + | 4.73619i | 0.00425304 | + | 0.164099i | ||||
\(834\) | −0.636333 | − | 0.170505i | −0.0220344 | − | 0.00590410i | ||||
\(835\) | 17.0855 | + | 29.5930i | 0.591268 | + | 1.02411i | ||||
\(836\) | −3.57277 | + | 6.18821i | −0.123567 | + | 0.214024i | ||||
\(837\) | −0.505667 | + | 0.505667i | −0.0174784 | + | 0.0174784i | ||||
\(838\) | 13.7709 | − | 3.68990i | 0.475707 | − | 0.127465i | ||||
\(839\) | −7.49795 | − | 27.9827i | −0.258858 | − | 0.966071i | −0.965903 | − | 0.258903i | \(-0.916639\pi\) |
0.707045 | − | 0.707168i | \(-0.250028\pi\) | |||||||
\(840\) | 3.05689 | + | 2.97869i | 0.105473 | + | 0.102775i | ||||
\(841\) | 7.10756 | − | 12.3106i | 0.245088 | − | 0.424505i | ||||
\(842\) | 8.61318 | − | 4.97282i | 0.296830 | − | 0.171375i | ||||
\(843\) | −22.3273 | − | 5.98257i | −0.768992 | − | 0.206051i | ||||
\(844\) | 3.49084i | 0.120160i | ||||||||
\(845\) | −6.85737 | − | 19.8190i | −0.235901 | − | 0.681793i | ||||
\(846\) | − | 0.613279i | − | 0.0210850i | ||||||
\(847\) | 24.1427 | + | 6.13492i | 0.829554 | + | 0.210798i | ||||
\(848\) | −2.26429 | − | 3.92187i | −0.0777561 | − | 0.134677i | ||||
\(849\) | −7.43476 | − | 4.29246i | −0.255160 | − | 0.147317i | ||||
\(850\) | 1.14744 | + | 1.14744i | 0.0393568 | + | 0.0393568i | ||||
\(851\) | 3.09521 | + | 11.5515i | 0.106102 | + | 0.395980i | ||||
\(852\) | 2.97844 | + | 11.1157i | 0.102040 | + | 0.380817i | ||||
\(853\) | −0.922075 | + | 0.922075i | −0.0315713 | + | 0.0315713i | −0.722716 | − | 0.691145i | \(-0.757107\pi\) |
0.691145 | + | 0.722716i | \(0.257107\pi\) | |||||||
\(854\) | −7.11534 | − | 3.98604i | −0.243482 | − | 0.136399i | ||||
\(855\) | −7.92967 | + | 4.57820i | −0.271189 | + | 0.156571i | ||||
\(856\) | −0.578851 | + | 2.16030i | −0.0197847 | + | 0.0738376i | ||||
\(857\) | −27.0048 | −0.922466 | −0.461233 | − | 0.887279i | \(-0.652593\pi\) | ||||
−0.461233 | + | 0.887279i | \(0.652593\pi\) | |||||||
\(858\) | 1.01778 | − | 4.42356i | 0.0347463 | − | 0.151018i | ||||
\(859\) | 9.90847i | 0.338073i | 0.985610 | + | 0.169036i | \(0.0540655\pi\) | ||||
−0.985610 | + | 0.169036i | \(0.945934\pi\) | |||||||
\(860\) | −0.544599 | + | 2.03247i | −0.0185707 | + | 0.0693067i | ||||
\(861\) | −8.88146 | − | 14.9330i | −0.302679 | − | 0.508914i | ||||
\(862\) | −13.6885 | − | 7.90305i | −0.466232 | − | 0.269179i | ||||
\(863\) | −9.05583 | + | 9.05583i | −0.308264 | + | 0.308264i | −0.844236 | − | 0.535972i | \(-0.819945\pi\) |
0.535972 | + | 0.844236i | \(0.319945\pi\) | |||||||
\(864\) | −0.965926 | + | 0.258819i | −0.0328615 | + | 0.00880520i | ||||
\(865\) | 24.4007 | − | 6.53815i | 0.829649 | − | 0.222304i | ||||
\(866\) | −1.58467 | + | 1.58467i | −0.0538492 | + | 0.0538492i | ||||
\(867\) | −14.3257 | − | 8.27095i | −0.486527 | − | 0.280896i | ||||
\(868\) | 0.967165 | + | 1.62615i | 0.0328277 | + | 0.0551953i | ||||
\(869\) | 3.12491 | − | 11.6623i | 0.106005 | − | 0.395618i | ||||
\(870\) | 6.20298i | 0.210301i | ||||||||
\(871\) | −44.9617 | − | 23.8635i | −1.52347 | − | 0.808583i | ||||
\(872\) | −12.1285 | −0.410724 | ||||||||
\(873\) | 3.73159 | − | 13.9265i | 0.126295 | − | 0.471340i | ||||
\(874\) | 13.0772 | − | 7.55010i | 0.442342 | − | 0.255386i | ||||
\(875\) | −15.4314 | + | 27.5460i | −0.521676 | + | 0.931226i | ||||
\(876\) | 0.598200 | − | 0.598200i | 0.0202113 | − | 0.0202113i | ||||
\(877\) | −7.72320 | − | 28.8234i | −0.260794 | − | 0.973297i | −0.964775 | − | 0.263078i | \(-0.915263\pi\) |
0.703981 | − | 0.710219i | \(-0.251404\pi\) | |||||||
\(878\) | −3.84677 | − | 14.3563i | −0.129822 | − | 0.484503i | ||||
\(879\) | 21.1787 | + | 21.1787i | 0.714340 | + | 0.714340i | ||||
\(880\) | 1.75883 | + | 1.01546i | 0.0592901 | + | 0.0342311i | ||||
\(881\) | 14.1819 | + | 24.5638i | 0.477800 | + | 0.827574i | 0.999676 | − | 0.0254474i | \(-0.00810103\pi\) |
−0.521876 | + | 0.853021i | \(0.674768\pi\) | |||||||
\(882\) | 1.63594 | − | 6.80615i | 0.0550851 | − | 0.229175i | ||||
\(883\) | 26.2301i | 0.882714i | 0.897332 | + | 0.441357i | \(0.145503\pi\) | ||||
−0.897332 | + | 0.441357i | \(0.854497\pi\) | |||||||
\(884\) | −2.33317 | + | 0.715228i | −0.0784728 | + | 0.0240557i | ||||
\(885\) | − | 6.64127i | − | 0.223244i | ||||||
\(886\) | 11.6952 | + | 3.13373i | 0.392909 | + | 0.105280i | ||||
\(887\) | 13.9684 | − | 8.06468i | 0.469014 | − | 0.270785i | −0.246813 | − | 0.969063i | \(-0.579383\pi\) |
0.715827 | + | 0.698278i | \(0.246050\pi\) | |||||||
\(888\) | 2.24758 | − | 3.89292i | 0.0754237 | − | 0.130638i | ||||
\(889\) | 8.12151 | − | 8.33472i | 0.272387 | − | 0.279538i | ||||
\(890\) | 3.80690 | + | 14.2075i | 0.127607 | + | 0.476238i | ||||
\(891\) | 1.21603 | − | 0.325835i | 0.0407386 | − | 0.0109159i | ||||
\(892\) | 20.4895 | − | 20.4895i | 0.686039 | − | 0.686039i | ||||
\(893\) | 1.74045 | − | 3.01455i | 0.0582420 | − | 0.100878i | ||||
\(894\) | −9.83317 | − | 17.0315i | −0.328870 | − | 0.569620i | ||||
\(895\) | 19.2605 | + | 5.16083i | 0.643807 | + | 0.172508i | ||||
\(896\) | 0.0342770 | + | 2.64553i | 0.00114511 | + | 0.0883809i | ||||
\(897\) | −6.53666 | + | 7.02023i | −0.218253 | + | 0.234399i | ||||
\(898\) | −20.1261 | −0.671617 | ||||||||
\(899\) | −0.711680 | + | 2.65603i | −0.0237359 | + | 0.0885834i | ||||
\(900\) | −1.19877 | − | 2.07634i | −0.0399591 | − | 0.0692113i | ||||
\(901\) | 1.53253 | − | 2.65442i | 0.0510560 | − | 0.0884316i | ||||
\(902\) | −5.84588 | − | 5.84588i | −0.194646 | − | 0.194646i | ||||
\(903\) | 3.32151 | − | 0.936282i | 0.110533 | − | 0.0311575i | ||||
\(904\) | 2.13877 | − | 0.573081i | 0.0711344 | − | 0.0190604i | ||||
\(905\) | −11.4750 | − | 11.4750i | −0.381443 | − | 0.381443i | ||||
\(906\) | 15.2855 | + | 8.82511i | 0.507828 | + | 0.293195i | ||||
\(907\) | 47.8336 | − | 27.6167i | 1.58829 | − | 0.916999i | 0.594699 | − | 0.803949i | \(-0.297271\pi\) |
0.993589 | − | 0.113050i | \(-0.0360620\pi\) | |||||||
\(908\) | 12.1746 | + | 3.26218i | 0.404029 | + | 0.108259i | ||||
\(909\) | −8.95655 | −0.297070 | ||||||||
\(910\) | −8.33303 | − | 12.9377i | −0.276237 | − | 0.428880i | ||||
\(911\) | 47.3683 | 1.56938 | 0.784691 | − | 0.619887i | \(-0.212822\pi\) | ||||
0.784691 | + | 0.619887i | \(0.212822\pi\) | |||||||
\(912\) | −5.48248 | − | 1.46903i | −0.181543 | − | 0.0486443i | ||||
\(913\) | 1.48521 | − | 0.857486i | 0.0491532 | − | 0.0283786i | ||||
\(914\) | −10.5594 | − | 6.09645i | −0.349272 | − | 0.201652i | ||||
\(915\) | −3.51635 | − | 3.51635i | −0.116247 | − | 0.116247i | ||||
\(916\) | −24.9947 | + | 6.69730i | −0.825847 | + | 0.221285i | ||||
\(917\) | 4.13848 | + | 14.6815i | 0.136665 | + | 0.484826i | ||||
\(918\) | −0.478588 | − | 0.478588i | −0.0157958 | − | 0.0157958i | ||||
\(919\) | −9.23745 | + | 15.9997i | −0.304715 | + | 0.527782i | −0.977198 | − | 0.212331i | \(-0.931895\pi\) |
0.672483 | + | 0.740113i | \(0.265228\pi\) | |||||||
\(920\) | −2.14591 | − | 3.71682i | −0.0707485 | − | 0.122540i | ||||
\(921\) | 2.16315 | − | 8.07299i | 0.0712783 | − | 0.266014i | ||||
\(922\) | −28.9291 | −0.952729 | ||||||||
\(923\) | −1.47905 | − | 41.4656i | −0.0486834 | − | 1.36486i | ||||
\(924\) | −0.0431523 | − | 3.33053i | −0.00141961 | − | 0.109567i | ||||
\(925\) | 10.4101 | + | 2.78938i | 0.342282 | + | 0.0917143i | ||||
\(926\) | −13.5507 | − | 23.4704i | −0.445302 | − | 0.771286i | ||||
\(927\) | 1.45673 | − | 2.52314i | 0.0478454 | − | 0.0828706i | ||||
\(928\) | −2.71891 | + | 2.71891i | −0.0892524 | + | 0.0892524i | ||||
\(929\) | 27.4563 | − | 7.35689i | 0.900812 | − | 0.241372i | 0.221447 | − | 0.975172i | \(-0.428922\pi\) |
0.679365 | + | 0.733801i | \(0.262255\pi\) | |||||||
\(930\) | 0.298584 | + | 1.11433i | 0.00979097 | + | 0.0365404i | ||||
\(931\) | 27.3569 | − | 28.8126i | 0.896585 | − | 0.944296i | ||||
\(932\) | −2.05845 | + | 3.56535i | −0.0674269 | + | 0.116787i | ||||
\(933\) | −25.8975 | + | 14.9519i | −0.847847 | + | 0.489505i | ||||
\(934\) | 17.6758 | + | 4.73623i | 0.578371 | + | 0.154974i | ||||
\(935\) | 1.37458i | 0.0449535i | ||||||||
\(936\) | 3.60326 | − | 0.128526i | 0.117776 | − | 0.00420099i | ||||
\(937\) | 46.0058i | 1.50294i | 0.659765 | + | 0.751472i | \(0.270656\pi\) | ||||
−0.659765 | + | 0.751472i | \(0.729344\pi\) | |||||||
\(938\) | −36.2014 | − | 9.19916i | −1.18202 | − | 0.300363i | ||||
\(939\) | −5.01329 | − | 8.68327i | −0.163603 | − | 0.283368i | ||||
\(940\) | −0.856802 | − | 0.494675i | −0.0279458 | − | 0.0161345i | ||||
\(941\) | 20.5795 | + | 20.5795i | 0.670873 | + | 0.670873i | 0.957917 | − | 0.287044i | \(-0.0926727\pi\) |
−0.287044 | + | 0.957917i | \(0.592673\pi\) | |||||||
\(942\) | −4.84340 | − | 18.0758i | −0.157806 | − | 0.588942i | ||||
\(943\) | 4.52178 | + | 16.8755i | 0.147249 | + | 0.549542i | ||||
\(944\) | 2.91102 | − | 2.91102i | 0.0947455 | − | 0.0947455i | ||||
\(945\) | 2.08601 | − | 3.72367i | 0.0678580 | − | 0.121131i | ||||
\(946\) | 1.42207 | − | 0.821033i | 0.0462355 | − | 0.0266941i | ||||
\(947\) | −11.1510 | + | 41.6162i | −0.362360 | + | 1.35235i | 0.508605 | + | 0.861000i | \(0.330161\pi\) |
−0.870965 | + | 0.491345i | \(0.836505\pi\) | |||||||
\(948\) | 9.59048 | 0.311484 | ||||||||
\(949\) | −2.58554 | + | 1.61831i | −0.0839300 | + | 0.0525326i | ||||
\(950\) | − | 13.6082i | − | 0.441508i | ||||||
\(951\) | −5.65816 | + | 21.1165i | −0.183478 | + | 0.684750i | ||||
\(952\) | −1.53907 | + | 0.915373i | −0.0498816 | + | 0.0296674i | ||||
\(953\) | −5.67202 | − | 3.27474i | −0.183735 | − | 0.106079i | 0.405311 | − | 0.914179i | \(-0.367163\pi\) |
−0.589046 | + | 0.808099i | \(0.700496\pi\) | |||||||
\(954\) | −3.20219 | + | 3.20219i | −0.103675 | + | 0.103675i | ||||
\(955\) | −30.4019 | + | 8.14617i | −0.983783 | + | 0.263604i | ||||
\(956\) | 0.588391 | − | 0.157659i | 0.0190299 | − | 0.00509905i | ||||
\(957\) | 3.42291 | − | 3.42291i | 0.110647 | − | 0.110647i | ||||
\(958\) | 16.3070 | + | 9.41483i | 0.526854 | + | 0.304179i | ||||
\(959\) | −26.1618 | + | 15.5599i | −0.844810 | + | 0.502456i | ||||
\(960\) | −0.417530 | + | 1.55824i | −0.0134757 | + | 0.0502921i | ||||
\(961\) | − | 30.4886i | − | 0.983503i | ||||||
\(962\) | −11.0446 | + | 11.8617i | −0.356093 | + | 0.382436i | ||||
\(963\) | 2.23651 | 0.0720705 | ||||||||
\(964\) | 4.25787 | − | 15.8906i | 0.137137 | − | 0.511801i | ||||
\(965\) | 19.6909 | − | 11.3685i | 0.633871 | − | 0.365966i | ||||
\(966\) | −3.44013 | + | 6.14086i | −0.110684 | + | 0.197579i | ||||
\(967\) | 13.1121 | − | 13.1121i | 0.421656 | − | 0.421656i | −0.464117 | − | 0.885774i | \(-0.653628\pi\) |
0.885774 | + | 0.464117i | \(0.153628\pi\) | |||||||
\(968\) | 2.43681 | + | 9.09429i | 0.0783219 | + | 0.292301i | ||||
\(969\) | −0.994275 | − | 3.71068i | −0.0319407 | − | 0.119204i | ||||
\(970\) | −16.4465 | − | 16.4465i | −0.528066 | − | 0.528066i | ||||
\(971\) | 13.6113 | + | 7.85851i | 0.436809 | + | 0.252192i | 0.702243 | − | 0.711937i | \(-0.252182\pi\) |
−0.265434 | + | 0.964129i | \(0.585515\pi\) | |||||||
\(972\) | 0.500000 | + | 0.866025i | 0.0160375 | + | 0.0277778i | ||||
\(973\) | 1.68928 | + | 0.429264i | 0.0541559 | + | 0.0137616i | ||||
\(974\) | − | 43.2416i | − | 1.38555i | ||||||
\(975\) | 2.53358 | + | 8.26487i | 0.0811395 | + | 0.264688i | ||||
\(976\) | − | 3.08259i | − | 0.0986713i | ||||||
\(977\) | 26.8519 | + | 7.19494i | 0.859068 | + | 0.230187i | 0.661355 | − | 0.750073i | \(-0.269982\pi\) |
0.197713 | + | 0.980260i | \(0.436648\pi\) | |||||||
\(978\) | −5.74131 | + | 3.31474i | −0.183587 | + | 0.105994i | ||||
\(979\) | 5.73925 | − | 9.94067i | 0.183427 | − | 0.317705i | ||||
\(980\) | −8.18919 | − | 7.77543i | −0.261594 | − | 0.248377i | ||||
\(981\) | 3.13909 | + | 11.7153i | 0.100224 | + | 0.374039i | ||||
\(982\) | −23.7420 | + | 6.36165i | −0.757638 | + | 0.203009i | ||||
\(983\) | 32.3866 | − | 32.3866i | 1.03297 | − | 1.03297i | 0.0335344 | − | 0.999438i | \(-0.489324\pi\) |
0.999438 | − | 0.0335344i | \(-0.0106763\pi\) | |||||||
\(984\) | 3.28347 | − | 5.68714i | 0.104673 | − | 0.181299i | ||||
\(985\) | −17.3790 | − | 30.1014i | −0.553742 | − | 0.959110i | ||||
\(986\) | −2.51379 | − | 0.673569i | −0.0800555 | − | 0.0214508i | ||||
\(987\) | 0.0210214 | + | 1.62245i | 0.000669118 | + | 0.0516431i | ||||
\(988\) | 18.0764 | + | 9.59407i | 0.575087 | + | 0.305228i | ||||
\(989\) | −3.47008 | −0.110342 | ||||||||
\(990\) | 0.525641 | − | 1.96172i | 0.0167060 | − | 0.0623475i | ||||
\(991\) | 0.0261986 | + | 0.0453774i | 0.000832227 | + | 0.00144146i | 0.866441 | − | 0.499279i | \(-0.166402\pi\) |
−0.865609 | + | 0.500721i | \(0.833068\pi\) | |||||||
\(992\) | −0.357560 | + | 0.619313i | −0.0113526 | + | 0.0196632i | ||||
\(993\) | −1.80194 | − | 1.80194i | −0.0571828 | − | 0.0571828i | ||||
\(994\) | −8.26055 | − | 29.3048i | −0.262009 | − | 0.929491i | ||||
\(995\) | 18.7985 | − | 5.03703i | 0.595951 | − | 0.159685i | ||||
\(996\) | 0.963254 | + | 0.963254i | 0.0305219 | + | 0.0305219i | ||||
\(997\) | 38.1644 | + | 22.0342i | 1.20868 | + | 0.697831i | 0.962471 | − | 0.271386i | \(-0.0874819\pi\) |
0.246208 | + | 0.969217i | \(0.420815\pi\) | |||||||
\(998\) | −30.6809 | + | 17.7137i | −0.971188 | + | 0.560716i | ||||
\(999\) | −4.34198 | − | 1.16343i | −0.137374 | − | 0.0368093i |
(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 | 546.2.bx.b.223.7 | yes | 40 | |
7.6 | odd | 2 | 546.2.bx.a.223.9 | ✓ | 40 | ||
13.7 | odd | 12 | 546.2.bx.a.475.9 | yes | 40 | ||
91.20 | even | 12 | inner | 546.2.bx.b.475.7 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.bx.a.223.9 | ✓ | 40 | 7.6 | odd | 2 | ||
546.2.bx.a.475.9 | yes | 40 | 13.7 | odd | 12 | ||
546.2.bx.b.223.7 | yes | 40 | 1.1 | even | 1 | trivial | |
546.2.bx.b.475.7 | yes | 40 | 91.20 | even | 12 | inner |