Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(4,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 44, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.y (of order \(33\), degree \(20\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(320\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{33})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{33}]$ |
Embedding invariants
Embedding label | 340.3 | ||
Character | \(\chi\) | \(=\) | 483.340 |
Dual form | 483.2.y.a.331.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{6}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.486251 | − | 2.00435i | −0.343831 | − | 1.41729i | −0.836926 | − | 0.547316i | \(-0.815650\pi\) |
0.493095 | − | 0.869975i | \(-0.335865\pi\) | |||||||
\(3\) | 0.327068 | + | 0.945001i | 0.188833 | + | 0.545596i | ||||
\(4\) | −2.00332 | + | 1.03278i | −1.00166 | + | 0.516391i | ||||
\(5\) | −3.02667 | + | 1.21170i | −1.35357 | + | 0.541887i | −0.931191 | − | 0.364532i | \(-0.881229\pi\) |
−0.422379 | + | 0.906420i | \(0.638805\pi\) | |||||||
\(6\) | 1.73508 | − | 1.11507i | 0.708342 | − | 0.455224i | ||||
\(7\) | 1.86249 | + | 1.87913i | 0.703955 | + | 0.710245i | ||||
\(8\) | 0.342886 | + | 0.395711i | 0.121228 | + | 0.139905i | ||||
\(9\) | −0.786053 | + | 0.618159i | −0.262018 | + | 0.206053i | ||||
\(10\) | 3.90039 | + | 5.47733i | 1.23341 | + | 1.73208i | ||||
\(11\) | 0.776339 | − | 3.20011i | 0.234075 | − | 0.964871i | −0.726570 | − | 0.687092i | \(-0.758887\pi\) |
0.960645 | − | 0.277778i | \(-0.0895981\pi\) | |||||||
\(12\) | −1.63120 | − | 1.55535i | −0.470887 | − | 0.448990i | ||||
\(13\) | 2.65776 | − | 5.81968i | 0.737130 | − | 1.61409i | −0.0510893 | − | 0.998694i | \(-0.516269\pi\) |
0.788219 | − | 0.615395i | \(-0.211003\pi\) | |||||||
\(14\) | 2.86081 | − | 4.64681i | 0.764582 | − | 1.24191i | ||||
\(15\) | −2.13498 | − | 2.46390i | −0.551250 | − | 0.636177i | ||||
\(16\) | −1.98833 | + | 2.79222i | −0.497082 | + | 0.698054i | ||||
\(17\) | −0.326051 | − | 6.84466i | −0.0790791 | − | 1.66007i | −0.595214 | − | 0.803567i | \(-0.702933\pi\) |
0.516135 | − | 0.856507i | \(-0.327370\pi\) | |||||||
\(18\) | 1.62123 | + | 1.27495i | 0.382127 | + | 0.300508i | ||||
\(19\) | 0.248254 | − | 5.21148i | 0.0569533 | − | 1.19560i | −0.771757 | − | 0.635918i | \(-0.780622\pi\) |
0.828710 | − | 0.559678i | \(-0.189075\pi\) | |||||||
\(20\) | 4.81197 | − | 5.55331i | 1.07599 | − | 1.24176i | ||||
\(21\) | −1.16662 | + | 2.37466i | −0.254577 | + | 0.518193i | ||||
\(22\) | −6.79165 | −1.44799 | ||||||||
\(23\) | 0.225596 | + | 4.79052i | 0.0470399 | + | 0.998893i | ||||
\(24\) | −0.261800 | + | 0.453452i | −0.0534398 | + | 0.0925604i | ||||
\(25\) | 4.07387 | − | 3.88443i | 0.814774 | − | 0.776886i | ||||
\(26\) | −12.9570 | − | 2.49726i | −2.54108 | − | 0.489753i | ||||
\(27\) | −0.841254 | − | 0.540641i | −0.161899 | − | 0.104046i | ||||
\(28\) | −5.67189 | − | 1.84095i | −1.07189 | − | 0.347907i | ||||
\(29\) | 1.05851 | − | 0.680262i | 0.196560 | − | 0.126322i | −0.438659 | − | 0.898654i | \(-0.644546\pi\) |
0.635219 | + | 0.772332i | \(0.280910\pi\) | |||||||
\(30\) | −3.90039 | + | 5.47733i | −0.712111 | + | 1.00002i | ||||
\(31\) | 3.11311 | − | 0.600004i | 0.559132 | − | 0.107764i | 0.0981471 | − | 0.995172i | \(-0.468708\pi\) |
0.460985 | + | 0.887408i | \(0.347496\pi\) | |||||||
\(32\) | 7.53560 | + | 3.01680i | 1.33212 | + | 0.533300i | ||||
\(33\) | 3.27803 | − | 0.313014i | 0.570631 | − | 0.0544887i | ||||
\(34\) | −13.5606 | + | 3.98174i | −2.32562 | + | 0.682863i | ||||
\(35\) | −7.91408 | − | 3.43074i | −1.33772 | − | 0.579902i | ||||
\(36\) | 0.936291 | − | 2.05019i | 0.156048 | − | 0.341698i | ||||
\(37\) | 4.37576 | − | 3.44114i | 0.719371 | − | 0.565719i | −0.189961 | − | 0.981792i | \(-0.560836\pi\) |
0.909332 | + | 0.416072i | \(0.136594\pi\) | |||||||
\(38\) | −10.5664 | + | 2.03650i | −1.71409 | + | 0.330364i | ||||
\(39\) | 6.36887 | + | 0.608153i | 1.01984 | + | 0.0973825i | ||||
\(40\) | −1.51728 | − | 0.782215i | −0.239904 | − | 0.123679i | ||||
\(41\) | 0.196975 | − | 1.36999i | 0.0307623 | − | 0.213956i | −0.968642 | − | 0.248459i | \(-0.920076\pi\) |
0.999405 | + | 0.0345031i | \(0.0109849\pi\) | |||||||
\(42\) | 5.32692 | + | 1.18364i | 0.821962 | + | 0.182640i | ||||
\(43\) | −2.12285 | + | 2.44990i | −0.323731 | + | 0.373606i | −0.894165 | − | 0.447738i | \(-0.852230\pi\) |
0.570434 | + | 0.821344i | \(0.306775\pi\) | |||||||
\(44\) | 1.74977 | + | 7.21264i | 0.263787 | + | 1.08735i | ||||
\(45\) | 1.63010 | − | 2.82342i | 0.243002 | − | 0.420891i | ||||
\(46\) | 9.49220 | − | 2.78157i | 1.39955 | − | 0.410120i | ||||
\(47\) | −1.95592 | − | 3.38776i | −0.285301 | − | 0.494155i | 0.687381 | − | 0.726297i | \(-0.258760\pi\) |
−0.972682 | + | 0.232141i | \(0.925427\pi\) | |||||||
\(48\) | −3.28896 | − | 0.965727i | −0.474721 | − | 0.139391i | ||||
\(49\) | −0.0622697 | + | 6.99972i | −0.00889567 | + | 0.999960i | ||||
\(50\) | −9.76668 | − | 6.27667i | −1.38122 | − | 0.887655i | ||||
\(51\) | 6.36157 | − | 2.54679i | 0.890798 | − | 0.356622i | ||||
\(52\) | 0.686126 | + | 14.4036i | 0.0951485 | + | 1.99741i | ||||
\(53\) | 5.84041 | + | 0.557692i | 0.802242 | + | 0.0766048i | 0.488119 | − | 0.872777i | \(-0.337683\pi\) |
0.314123 | + | 0.949382i | \(0.398289\pi\) | |||||||
\(54\) | −0.674575 | + | 1.94906i | −0.0917980 | + | 0.265233i | ||||
\(55\) | 1.52784 | + | 10.6264i | 0.206014 | + | 1.43286i | ||||
\(56\) | −0.104972 | + | 1.38133i | −0.0140275 | + | 0.184589i | ||||
\(57\) | 5.00605 | − | 1.46991i | 0.663068 | − | 0.194694i | ||||
\(58\) | −1.87819 | − | 1.79085i | −0.246618 | − | 0.235150i | ||||
\(59\) | −0.320411 | − | 0.449955i | −0.0417140 | − | 0.0585791i | 0.793192 | − | 0.608971i | \(-0.208418\pi\) |
−0.834906 | + | 0.550392i | \(0.814478\pi\) | |||||||
\(60\) | 6.82172 | + | 2.73101i | 0.880681 | + | 0.352571i | ||||
\(61\) | 1.97974 | − | 5.72008i | 0.253479 | − | 0.732381i | −0.744427 | − | 0.667704i | \(-0.767277\pi\) |
0.997906 | − | 0.0646766i | \(-0.0206016\pi\) | |||||||
\(62\) | −2.71637 | − | 5.94803i | −0.344980 | − | 0.755400i | ||||
\(63\) | −2.62562 | − | 0.325783i | −0.330797 | − | 0.0410448i | ||||
\(64\) | 1.40688 | − | 9.78506i | 0.175860 | − | 1.22313i | ||||
\(65\) | −0.992478 | + | 20.8347i | −0.123102 | + | 2.58422i | ||||
\(66\) | −2.22133 | − | 6.41812i | −0.273427 | − | 0.790016i | ||||
\(67\) | −6.34734 | + | 6.05218i | −0.775451 | + | 0.739391i | −0.970421 | − | 0.241418i | \(-0.922387\pi\) |
0.194970 | + | 0.980809i | \(0.437539\pi\) | |||||||
\(68\) | 7.72223 | + | 13.3753i | 0.936458 | + | 1.62199i | ||||
\(69\) | −4.45326 | + | 1.78001i | −0.536110 | + | 0.214289i | ||||
\(70\) | −3.02819 | + | 17.5308i | −0.361938 | + | 2.09533i | ||||
\(71\) | −3.17814 | − | 0.933185i | −0.377175 | − | 0.110749i | 0.0876493 | − | 0.996151i | \(-0.472065\pi\) |
−0.464825 | + | 0.885403i | \(0.653883\pi\) | |||||||
\(72\) | −0.514139 | − | 0.0990921i | −0.0605918 | − | 0.0116781i | ||||
\(73\) | −8.52105 | + | 4.39291i | −0.997314 | + | 0.514151i | −0.877977 | − | 0.478703i | \(-0.841107\pi\) |
−0.119337 | + | 0.992854i | \(0.538077\pi\) | |||||||
\(74\) | −9.02497 | − | 7.09731i | −1.04913 | − | 0.825046i | ||||
\(75\) | 5.00322 | + | 2.57934i | 0.577722 | + | 0.297836i | ||||
\(76\) | 4.88500 | + | 10.6967i | 0.560348 | + | 1.22699i | ||||
\(77\) | 7.45936 | − | 4.50133i | 0.850073 | − | 0.512975i | ||||
\(78\) | −1.87791 | − | 13.0612i | −0.212632 | − | 1.47889i | ||||
\(79\) | −16.5083 | + | 1.57635i | −1.85733 | + | 0.177353i | −0.962899 | − | 0.269861i | \(-0.913022\pi\) |
−0.894427 | + | 0.447214i | \(0.852416\pi\) | |||||||
\(80\) | 2.63470 | − | 10.8604i | 0.294568 | − | 1.21423i | ||||
\(81\) | 0.235759 | − | 0.971812i | 0.0261954 | − | 0.107979i | ||||
\(82\) | −2.84172 | + | 0.271351i | −0.313815 | + | 0.0299657i | ||||
\(83\) | −0.164893 | − | 1.14686i | −0.0180994 | − | 0.125884i | 0.978768 | − | 0.204969i | \(-0.0657093\pi\) |
−0.996868 | + | 0.0790847i | \(0.974800\pi\) | |||||||
\(84\) | −0.115392 | − | 5.96206i | −0.0125903 | − | 0.650514i | ||||
\(85\) | 9.28051 | + | 20.3215i | 1.00661 | + | 2.20417i | ||||
\(86\) | 5.94269 | + | 3.06367i | 0.640817 | + | 0.330364i | ||||
\(87\) | 0.989053 | + | 0.777800i | 0.106038 | + | 0.0833889i | ||||
\(88\) | 1.53252 | − | 0.790067i | 0.163367 | − | 0.0842214i | ||||
\(89\) | −7.84735 | − | 1.51245i | −0.831817 | − | 0.160320i | −0.244472 | − | 0.969656i | \(-0.578615\pi\) |
−0.587345 | + | 0.809337i | \(0.699827\pi\) | |||||||
\(90\) | −6.45178 | − | 1.89441i | −0.680077 | − | 0.199689i | ||||
\(91\) | 15.8860 | − | 5.84481i | 1.66530 | − | 0.612703i | ||||
\(92\) | −5.39951 | − | 9.36395i | −0.562937 | − | 0.976259i | ||||
\(93\) | 1.58520 | + | 2.74565i | 0.164378 | + | 0.284711i | ||||
\(94\) | −5.83919 | + | 5.56766i | −0.602267 | + | 0.574260i | ||||
\(95\) | 5.56336 | + | 16.0743i | 0.570788 | + | 1.64918i | ||||
\(96\) | −0.386224 | + | 8.10784i | −0.0394188 | + | 0.827503i | ||||
\(97\) | 2.47214 | − | 17.1941i | 0.251008 | − | 1.74580i | −0.341182 | − | 0.939997i | \(-0.610827\pi\) |
0.592190 | − | 0.805799i | \(-0.298264\pi\) | |||||||
\(98\) | 14.0602 | − | 3.27881i | 1.42029 | − | 0.331210i | ||||
\(99\) | 1.36794 | + | 2.99536i | 0.137483 | + | 0.301045i | ||||
\(100\) | −4.14949 | + | 11.9892i | −0.414949 | + | 1.19892i | ||||
\(101\) | 9.84828 | + | 3.94266i | 0.979941 | + | 0.392309i | 0.805654 | − | 0.592386i | \(-0.201814\pi\) |
0.174286 | + | 0.984695i | \(0.444238\pi\) | |||||||
\(102\) | −8.19798 | − | 11.5124i | −0.811721 | − | 1.13990i | ||||
\(103\) | 5.00240 | + | 4.76978i | 0.492901 | + | 0.469981i | 0.895287 | − | 0.445490i | \(-0.146970\pi\) |
−0.402386 | + | 0.915470i | \(0.631819\pi\) | |||||||
\(104\) | 3.21422 | − | 0.943780i | 0.315180 | − | 0.0925452i | ||||
\(105\) | 0.653613 | − | 8.60090i | 0.0637861 | − | 0.839362i | ||||
\(106\) | −1.72209 | − | 11.9774i | −0.167264 | − | 1.16335i | ||||
\(107\) | 1.45126 | − | 4.19314i | 0.140298 | − | 0.405366i | −0.852860 | − | 0.522139i | \(-0.825134\pi\) |
0.993159 | + | 0.116774i | \(0.0372553\pi\) | |||||||
\(108\) | 2.24366 | + | 0.214244i | 0.215897 | + | 0.0206156i | ||||
\(109\) | −0.725067 | − | 15.2210i | −0.0694488 | − | 1.45791i | −0.717631 | − | 0.696424i | \(-0.754773\pi\) |
0.648182 | − | 0.761486i | \(-0.275530\pi\) | |||||||
\(110\) | 20.5561 | − | 8.22943i | 1.95995 | − | 0.784645i | ||||
\(111\) | 4.68305 | + | 3.00961i | 0.444495 | + | 0.285660i | ||||
\(112\) | −8.95018 | + | 1.46414i | −0.845712 | + | 0.138348i | ||||
\(113\) | 2.76329 | + | 0.811375i | 0.259948 | + | 0.0763277i | 0.409110 | − | 0.912485i | \(-0.365839\pi\) |
−0.149162 | + | 0.988813i | \(0.547657\pi\) | |||||||
\(114\) | −5.38041 | − | 9.31915i | −0.503922 | − | 0.872818i | ||||
\(115\) | −6.48747 | − | 14.2260i | −0.604959 | − | 1.32658i | ||||
\(116\) | −1.41797 | + | 2.45599i | −0.131655 | + | 0.228033i | ||||
\(117\) | 1.50835 | + | 6.21750i | 0.139447 | + | 0.574808i | ||||
\(118\) | −0.746068 | + | 0.861008i | −0.0686811 | + | 0.0792622i | ||||
\(119\) | 12.2548 | − | 13.3608i | 1.12339 | − | 1.22478i | ||||
\(120\) | 0.242938 | − | 1.68967i | 0.0221771 | − | 0.154245i | ||||
\(121\) | 0.139161 | + | 0.0717422i | 0.0126510 | + | 0.00652202i | ||||
\(122\) | −12.4277 | − | 1.18670i | −1.12515 | − | 0.107439i | ||||
\(123\) | 1.35906 | − | 0.261938i | 0.122543 | − | 0.0236182i | ||||
\(124\) | −5.61688 | + | 4.41717i | −0.504411 | + | 0.396673i | ||||
\(125\) | −0.851827 | + | 1.86524i | −0.0761897 | + | 0.166832i | ||||
\(126\) | 0.623725 | + | 5.42107i | 0.0555658 | + | 0.482948i | ||||
\(127\) | −1.64309 | + | 0.482454i | −0.145800 | + | 0.0428109i | −0.353818 | − | 0.935314i | \(-0.615117\pi\) |
0.208018 | + | 0.978125i | \(0.433299\pi\) | |||||||
\(128\) | −4.13625 | + | 0.394964i | −0.365596 | + | 0.0349102i | ||||
\(129\) | −3.00947 | − | 1.20481i | −0.264969 | − | 0.106078i | ||||
\(130\) | 42.2426 | − | 8.14160i | 3.70492 | − | 0.714065i | ||||
\(131\) | −3.80200 | + | 5.33916i | −0.332182 | + | 0.466485i | −0.946560 | − | 0.322527i | \(-0.895468\pi\) |
0.614378 | + | 0.789012i | \(0.289407\pi\) | |||||||
\(132\) | −6.24365 | + | 4.01255i | −0.543440 | + | 0.349248i | ||||
\(133\) | 10.2554 | − | 9.23983i | 0.889259 | − | 0.801195i | ||||
\(134\) | 15.2171 | + | 9.77943i | 1.31456 | + | 0.844814i | ||||
\(135\) | 3.20129 | + | 0.616999i | 0.275523 | + | 0.0531028i | ||||
\(136\) | 2.59671 | − | 2.47596i | 0.222666 | − | 0.212312i | ||||
\(137\) | −2.26999 | + | 3.93173i | −0.193938 | + | 0.335910i | −0.946552 | − | 0.322552i | \(-0.895459\pi\) |
0.752614 | + | 0.658462i | \(0.228793\pi\) | |||||||
\(138\) | 5.73318 | + | 8.06037i | 0.488041 | + | 0.686145i | ||||
\(139\) | 11.2938 | 0.957927 | 0.478964 | − | 0.877835i | \(-0.341013\pi\) | ||||
0.478964 | + | 0.877835i | \(0.341013\pi\) | |||||||
\(140\) | 19.3976 | − | 1.30065i | 1.63940 | − | 0.109925i | ||||
\(141\) | 2.56171 | − | 2.95638i | 0.215735 | − | 0.248972i | ||||
\(142\) | −0.325061 | + | 6.82387i | −0.0272785 | + | 0.572646i | ||||
\(143\) | −16.5603 | − | 13.0232i | −1.38484 | − | 1.08905i | ||||
\(144\) | −0.163102 | − | 3.42393i | −0.0135918 | − | 0.285328i | ||||
\(145\) | −2.37949 | + | 3.34152i | −0.197606 | + | 0.277498i | ||||
\(146\) | 12.9483 | + | 14.9431i | 1.07161 | + | 1.23670i | ||||
\(147\) | −6.63511 | + | 2.23054i | −0.547255 | + | 0.183972i | ||||
\(148\) | −5.21210 | + | 11.4129i | −0.428432 | + | 0.938135i | ||||
\(149\) | 1.56093 | + | 1.48834i | 0.127876 | + | 0.121930i | 0.751319 | − | 0.659939i | \(-0.229418\pi\) |
−0.623443 | + | 0.781869i | \(0.714267\pi\) | |||||||
\(150\) | 2.73709 | − | 11.2824i | 0.223482 | − | 0.921206i | ||||
\(151\) | 12.0369 | + | 16.9035i | 0.979551 | + | 1.37559i | 0.926209 | + | 0.377011i | \(0.123048\pi\) |
0.0533423 | + | 0.998576i | \(0.483013\pi\) | |||||||
\(152\) | 2.14736 | − | 1.68871i | 0.174174 | − | 0.136972i | ||||
\(153\) | 4.48738 | + | 5.17872i | 0.362783 | + | 0.418674i | ||||
\(154\) | −12.6494 | − | 12.7624i | −1.01932 | − | 1.02842i | ||||
\(155\) | −8.69536 | + | 5.58817i | −0.698428 | + | 0.448852i | ||||
\(156\) | −13.3870 | + | 5.35933i | −1.07181 | + | 0.429090i | ||||
\(157\) | −19.7946 | + | 10.2048i | −1.57978 | + | 0.814434i | −1.00000 | 0.000336868i | \(-0.999893\pi\) | |
−0.579782 | + | 0.814771i | \(0.696862\pi\) | |||||||
\(158\) | 11.1867 | + | 32.3219i | 0.889967 | + | 2.57139i | ||||
\(159\) | 1.38319 | + | 5.70160i | 0.109694 | + | 0.452166i | ||||
\(160\) | −26.4632 | −2.09210 | ||||||||
\(161\) | −8.58185 | + | 9.34622i | −0.676345 | + | 0.736585i | ||||
\(162\) | −2.06249 | −0.162045 | ||||||||
\(163\) | 0.588292 | + | 2.42497i | 0.0460785 | + | 0.189938i | 0.990199 | − | 0.139661i | \(-0.0446014\pi\) |
−0.944121 | + | 0.329600i | \(0.893086\pi\) | |||||||
\(164\) | 1.02030 | + | 2.94795i | 0.0796718 | + | 0.230197i | ||||
\(165\) | −9.54224 | + | 4.91937i | −0.742862 | + | 0.382972i | ||||
\(166\) | −2.21853 | + | 0.888166i | −0.172191 | + | 0.0689350i | ||||
\(167\) | 21.0455 | − | 13.5251i | 1.62855 | − | 1.04661i | 0.678456 | − | 0.734641i | \(-0.262649\pi\) |
0.950094 | − | 0.311965i | \(-0.100987\pi\) | |||||||
\(168\) | −1.33970 | + | 0.352591i | −0.103360 | + | 0.0272030i | ||||
\(169\) | −18.2918 | − | 21.1099i | −1.40706 | − | 1.62384i | ||||
\(170\) | 36.2187 | − | 28.4827i | 2.77785 | − | 2.18453i | ||||
\(171\) | 3.02638 | + | 4.24996i | 0.231433 | + | 0.325003i | ||||
\(172\) | 1.72253 | − | 7.10036i | 0.131342 | − | 0.541397i | ||||
\(173\) | 6.85698 | + | 6.53812i | 0.521327 | + | 0.497084i | 0.904430 | − | 0.426621i | \(-0.140296\pi\) |
−0.383104 | + | 0.923705i | \(0.625145\pi\) | |||||||
\(174\) | 1.07806 | − | 2.36062i | 0.0817273 | − | 0.178958i | ||||
\(175\) | 14.8869 | + | 0.420634i | 1.12534 | + | 0.0317970i | ||||
\(176\) | 7.39179 | + | 8.53058i | 0.557177 | + | 0.643017i | ||||
\(177\) | 0.320411 | − | 0.449955i | 0.0240836 | − | 0.0338207i | ||||
\(178\) | 0.784290 | + | 16.4643i | 0.0587850 | + | 1.23405i | ||||
\(179\) | 7.89139 | + | 6.20586i | 0.589830 | + | 0.463848i | 0.867918 | − | 0.496708i | \(-0.165458\pi\) |
−0.278087 | + | 0.960556i | \(0.589700\pi\) | |||||||
\(180\) | −0.349636 | + | 7.33976i | −0.0260603 | + | 0.547073i | ||||
\(181\) | 11.8465 | − | 13.6716i | 0.880543 | − | 1.01620i | −0.119185 | − | 0.992872i | \(-0.538028\pi\) |
0.999728 | − | 0.0233290i | \(-0.00742652\pi\) | |||||||
\(182\) | −19.4396 | − | 28.9991i | −1.44096 | − | 2.14955i | ||||
\(183\) | 6.05298 | 0.447449 | ||||||||
\(184\) | −1.81831 | + | 1.73187i | −0.134048 | + | 0.127675i | ||||
\(185\) | −9.07438 | + | 15.7173i | −0.667162 | + | 1.15556i | ||||
\(186\) | 4.73245 | − | 4.51238i | 0.347000 | − | 0.330864i | ||||
\(187\) | −22.1568 | − | 4.27038i | −1.62027 | − | 0.312281i | ||||
\(188\) | 7.41715 | + | 4.76671i | 0.540951 | + | 0.347648i | ||||
\(189\) | −0.550890 | − | 2.58776i | −0.0400714 | − | 0.188232i | ||||
\(190\) | 29.5133 | − | 18.9671i | 2.14112 | − | 1.37601i | ||||
\(191\) | 7.07599 | − | 9.93684i | 0.512001 | − | 0.719005i | −0.474952 | − | 0.880012i | \(-0.657535\pi\) |
0.986953 | + | 0.161007i | \(0.0514741\pi\) | |||||||
\(192\) | 9.70704 | − | 1.87088i | 0.700545 | − | 0.135019i | ||||
\(193\) | 7.89754 | + | 3.16170i | 0.568477 | + | 0.227584i | 0.638053 | − | 0.769993i | \(-0.279740\pi\) |
−0.0695755 | + | 0.997577i | \(0.522164\pi\) | |||||||
\(194\) | −35.6651 | + | 3.40560i | −2.56061 | + | 0.244508i | ||||
\(195\) | −20.0134 | + | 5.87646i | −1.43319 | + | 0.420822i | ||||
\(196\) | −7.10444 | − | 14.0870i | −0.507460 | − | 1.00621i | ||||
\(197\) | −9.49871 | + | 20.7993i | −0.676755 | + | 1.48189i | 0.189290 | + | 0.981921i | \(0.439382\pi\) |
−0.866045 | + | 0.499966i | \(0.833346\pi\) | |||||||
\(198\) | 5.33860 | − | 4.19832i | 0.379398 | − | 0.298362i | ||||
\(199\) | −9.48572 | + | 1.82822i | −0.672425 | + | 0.129599i | −0.514024 | − | 0.857776i | \(-0.671846\pi\) |
−0.158400 | + | 0.987375i | \(0.550634\pi\) | |||||||
\(200\) | 2.93398 | + | 0.280161i | 0.207464 | + | 0.0198104i | ||||
\(201\) | −7.79532 | − | 4.01877i | −0.549840 | − | 0.283462i | ||||
\(202\) | 3.11374 | − | 21.6565i | 0.219082 | − | 1.52375i | ||||
\(203\) | 3.24976 | + | 0.722096i | 0.228089 | + | 0.0506812i | ||||
\(204\) | −10.1140 | + | 11.6721i | −0.708119 | + | 0.817213i | ||||
\(205\) | 1.06383 | + | 4.38518i | 0.0743013 | + | 0.306274i | ||||
\(206\) | 7.12790 | − | 12.3459i | 0.496625 | − | 0.860179i | ||||
\(207\) | −3.13863 | − | 3.62615i | −0.218150 | − | 0.252035i | ||||
\(208\) | 10.9653 | + | 18.9925i | 0.760307 | + | 1.31689i | ||||
\(209\) | −16.4846 | − | 4.84032i | −1.14026 | − | 0.334812i | ||||
\(210\) | −17.5571 | + | 2.87212i | −1.21155 | + | 0.198195i | ||||
\(211\) | −4.79630 | − | 3.08240i | −0.330191 | − | 0.212201i | 0.365032 | − | 0.930995i | \(-0.381058\pi\) |
−0.695223 | + | 0.718794i | \(0.744694\pi\) | |||||||
\(212\) | −12.2762 | + | 4.91464i | −0.843131 | + | 0.337539i | ||||
\(213\) | −0.157606 | − | 3.30856i | −0.0107990 | − | 0.226699i | ||||
\(214\) | −9.11020 | − | 0.869918i | −0.622760 | − | 0.0594664i | ||||
\(215\) | 3.45663 | − | 9.98728i | 0.235740 | − | 0.681127i | ||||
\(216\) | −0.0745162 | − | 0.518271i | −0.00507018 | − | 0.0352639i | ||||
\(217\) | 6.92563 | + | 4.73245i | 0.470142 | + | 0.321260i | ||||
\(218\) | −30.1557 | + | 8.85452i | −2.04240 | + | 0.599704i | ||||
\(219\) | −6.93827 | − | 6.61562i | −0.468845 | − | 0.447042i | ||||
\(220\) | −14.0355 | − | 19.7101i | −0.946273 | − | 1.32886i | ||||
\(221\) | −40.7003 | − | 16.2939i | −2.73780 | − | 1.09605i | ||||
\(222\) | 3.75519 | − | 10.8499i | 0.252032 | − | 0.728198i | ||||
\(223\) | 4.20972 | + | 9.21799i | 0.281903 | + | 0.617283i | 0.996622 | − | 0.0821301i | \(-0.0261723\pi\) |
−0.714718 | + | 0.699413i | \(0.753445\pi\) | |||||||
\(224\) | 8.36601 | + | 19.7791i | 0.558977 | + | 1.32155i | ||||
\(225\) | −0.801085 | + | 5.57167i | −0.0534056 | + | 0.371444i | ||||
\(226\) | 0.282630 | − | 5.93313i | 0.0188003 | − | 0.394666i | ||||
\(227\) | 8.79726 | + | 25.4180i | 0.583894 | + | 1.68705i | 0.717964 | + | 0.696080i | \(0.245074\pi\) |
−0.134070 | + | 0.990972i | \(0.542805\pi\) | |||||||
\(228\) | −8.51062 | + | 8.11486i | −0.563629 | + | 0.537420i | ||||
\(229\) | −0.960779 | − | 1.66412i | −0.0634901 | − | 0.109968i | 0.832533 | − | 0.553975i | \(-0.186890\pi\) |
−0.896023 | + | 0.444007i | \(0.853556\pi\) | |||||||
\(230\) | −25.3594 | + | 19.9206i | −1.67215 | + | 1.31352i | ||||
\(231\) | 6.69348 | + | 5.57686i | 0.440399 | + | 0.366930i | ||||
\(232\) | 0.632135 | + | 0.185612i | 0.0415017 | + | 0.0121860i | ||||
\(233\) | −8.57922 | − | 1.65351i | −0.562043 | − | 0.108325i | −0.0996865 | − | 0.995019i | \(-0.531784\pi\) |
−0.462357 | + | 0.886694i | \(0.652996\pi\) | |||||||
\(234\) | 11.7286 | − | 6.04652i | 0.766724 | − | 0.395274i | ||||
\(235\) | 10.0249 | + | 7.88365i | 0.653951 | + | 0.514272i | ||||
\(236\) | 1.10659 | + | 0.570487i | 0.0720329 | + | 0.0371356i | ||||
\(237\) | −6.88898 | − | 15.0848i | −0.447487 | − | 0.979860i | ||||
\(238\) | −32.7386 | − | 18.0661i | −2.12213 | − | 1.17105i | ||||
\(239\) | 1.15849 | + | 8.05746i | 0.0749363 | + | 0.521194i | 0.992369 | + | 0.123303i | \(0.0393486\pi\) |
−0.917433 | + | 0.397891i | \(0.869742\pi\) | |||||||
\(240\) | 11.1248 | − | 1.06229i | 0.718102 | − | 0.0685704i | ||||
\(241\) | 2.85941 | − | 11.7867i | 0.184191 | − | 0.759246i | −0.802502 | − | 0.596650i | \(-0.796498\pi\) |
0.986693 | − | 0.162596i | \(-0.0519867\pi\) | |||||||
\(242\) | 0.0761298 | − | 0.313811i | 0.00489381 | − | 0.0201726i | ||||
\(243\) | 0.995472 | − | 0.0950560i | 0.0638596 | − | 0.00609785i | ||||
\(244\) | 1.94155 | + | 13.5038i | 0.124295 | + | 0.864490i | ||||
\(245\) | −8.29307 | − | 21.2613i | −0.529825 | − | 1.35834i | ||||
\(246\) | −1.18586 | − | 2.59668i | −0.0756078 | − | 0.165558i | ||||
\(247\) | −29.6694 | − | 15.2956i | −1.88782 | − | 0.973237i | ||||
\(248\) | 1.30487 | + | 1.02616i | 0.0828593 | + | 0.0651613i | ||||
\(249\) | 1.02985 | − | 0.530925i | 0.0652642 | − | 0.0336460i | ||||
\(250\) | 4.15280 | + | 0.800387i | 0.262646 | + | 0.0506209i | ||||
\(251\) | 12.0684 | + | 3.54361i | 0.761752 | + | 0.223670i | 0.639461 | − | 0.768824i | \(-0.279158\pi\) |
0.122291 | + | 0.992494i | \(0.460976\pi\) | |||||||
\(252\) | 5.59641 | − | 2.05904i | 0.352541 | − | 0.129708i | ||||
\(253\) | 15.5054 | + | 2.99714i | 0.974814 | + | 0.188429i | ||||
\(254\) | 1.76596 | + | 3.05873i | 0.110806 | + | 0.191922i | ||||
\(255\) | −16.1685 | + | 15.4166i | −1.01251 | + | 0.965424i | ||||
\(256\) | −3.66368 | − | 10.5855i | −0.228980 | − | 0.661595i | ||||
\(257\) | −0.922750 | + | 19.3709i | −0.0575596 | + | 1.20832i | 0.766660 | + | 0.642054i | \(0.221917\pi\) |
−0.824219 | + | 0.566271i | \(0.808386\pi\) | |||||||
\(258\) | −0.951507 | + | 6.61788i | −0.0592382 | + | 0.412011i | ||||
\(259\) | 14.6162 | + | 1.81355i | 0.908204 | + | 0.112689i | ||||
\(260\) | −19.5294 | − | 42.7635i | −1.21116 | − | 2.65208i | ||||
\(261\) | −0.411534 | + | 1.18905i | −0.0254733 | + | 0.0736003i | ||||
\(262\) | 12.5503 | + | 5.02438i | 0.775359 | + | 0.310407i | ||||
\(263\) | −10.0420 | − | 14.1020i | −0.619217 | − | 0.869569i | 0.379228 | − | 0.925303i | \(-0.376189\pi\) |
−0.998446 | + | 0.0557341i | \(0.982250\pi\) | |||||||
\(264\) | 1.24785 | + | 1.18982i | 0.0767999 | + | 0.0732286i | ||||
\(265\) | −18.3528 | + | 5.38886i | −1.12740 | + | 0.331035i | ||||
\(266\) | −23.5066 | − | 16.0626i | −1.44128 | − | 0.984863i | ||||
\(267\) | −1.13735 | − | 7.91042i | −0.0696045 | − | 0.484110i | ||||
\(268\) | 6.46516 | − | 18.6798i | 0.394922 | − | 1.14105i | ||||
\(269\) | −5.32906 | − | 0.508864i | −0.324919 | − | 0.0310260i | −0.0686776 | − | 0.997639i | \(-0.521878\pi\) |
−0.256241 | + | 0.966613i | \(0.582484\pi\) | |||||||
\(270\) | −0.319948 | − | 6.71653i | −0.0194714 | − | 0.408755i | ||||
\(271\) | 20.3578 | − | 8.15002i | 1.23665 | − | 0.495079i | 0.341092 | − | 0.940030i | \(-0.389203\pi\) |
0.895555 | + | 0.444951i | \(0.146779\pi\) | |||||||
\(272\) | 19.7601 | + | 12.6990i | 1.19813 | + | 0.769991i | ||||
\(273\) | 10.7192 | + | 13.1006i | 0.648753 | + | 0.792886i | ||||
\(274\) | 8.98436 | + | 2.63804i | 0.542765 | + | 0.159370i | ||||
\(275\) | −9.26791 | − | 16.0525i | −0.558876 | − | 0.968001i | ||||
\(276\) | 7.08293 | − | 8.16519i | 0.426343 | − | 0.491486i | ||||
\(277\) | 6.56027 | − | 11.3627i | 0.394168 | − | 0.682720i | −0.598826 | − | 0.800879i | \(-0.704366\pi\) |
0.992995 | + | 0.118159i | \(0.0376993\pi\) | |||||||
\(278\) | −5.49161 | − | 22.6367i | −0.329365 | − | 1.35766i | ||||
\(279\) | −2.07618 | + | 2.39603i | −0.124297 | + | 0.143447i | ||||
\(280\) | −1.35604 | − | 4.30804i | −0.0810390 | − | 0.257455i | ||||
\(281\) | −1.96564 | + | 13.6713i | −0.117260 | + | 0.815562i | 0.843291 | + | 0.537458i | \(0.180615\pi\) |
−0.960551 | + | 0.278104i | \(0.910294\pi\) | |||||||
\(282\) | −7.17125 | − | 3.69704i | −0.427042 | − | 0.220155i | ||||
\(283\) | 11.1121 | + | 1.06108i | 0.660546 | + | 0.0630745i | 0.419945 | − | 0.907550i | \(-0.362049\pi\) |
0.240601 | + | 0.970624i | \(0.422655\pi\) | |||||||
\(284\) | 7.33060 | − | 1.41286i | 0.434991 | − | 0.0838376i | ||||
\(285\) | −13.3706 | + | 10.5148i | −0.792006 | + | 0.622840i | ||||
\(286\) | −18.0506 | + | 39.5252i | −1.06735 | + | 2.33718i | ||||
\(287\) | 2.94125 | − | 2.18145i | 0.173617 | − | 0.128767i | ||||
\(288\) | −7.78824 | + | 2.28683i | −0.458926 | + | 0.134753i | ||||
\(289\) | −29.8201 | + | 2.84747i | −1.75412 | + | 0.167498i | ||||
\(290\) | 7.85462 | + | 3.14451i | 0.461239 | + | 0.184652i | ||||
\(291\) | 17.0570 | − | 3.28747i | 0.999899 | − | 0.192715i | ||||
\(292\) | 12.5335 | − | 17.6008i | 0.733465 | − | 1.03001i | ||||
\(293\) | −12.2657 | + | 7.88266i | −0.716568 | + | 0.460510i | −0.847441 | − | 0.530889i | \(-0.821858\pi\) |
0.130874 | + | 0.991399i | \(0.458222\pi\) | |||||||
\(294\) | 7.69712 | + | 12.2145i | 0.448905 | + | 0.712364i | ||||
\(295\) | 1.51499 | + | 0.973625i | 0.0882061 | + | 0.0566866i | ||||
\(296\) | 2.86208 | + | 0.551621i | 0.166355 | + | 0.0320623i | ||||
\(297\) | −2.38321 | + | 2.27239i | −0.138288 | + | 0.131857i | ||||
\(298\) | 2.22416 | − | 3.85236i | 0.128842 | − | 0.223161i | ||||
\(299\) | 28.4789 | + | 11.4192i | 1.64698 | + | 0.660387i | ||||
\(300\) | −12.6869 | −0.732481 | ||||||||
\(301\) | −8.55746 | + | 0.573796i | −0.493244 | + | 0.0330730i | ||||
\(302\) | 28.0276 | − | 32.3456i | 1.61281 | − | 1.86128i | ||||
\(303\) | −0.504757 | + | 10.5962i | −0.0289975 | + | 0.608733i | ||||
\(304\) | 14.0580 | + | 11.0553i | 0.806280 | + | 0.634066i | ||||
\(305\) | 0.938981 | + | 19.7116i | 0.0537659 | + | 1.12869i | ||||
\(306\) | 8.19798 | − | 11.5124i | 0.468647 | − | 0.658123i | ||||
\(307\) | 11.4914 | + | 13.2618i | 0.655850 | + | 0.756891i | 0.982093 | − | 0.188394i | \(-0.0603283\pi\) |
−0.326243 | + | 0.945286i | \(0.605783\pi\) | |||||||
\(308\) | −10.2946 | + | 16.7215i | −0.586588 | + | 0.952796i | ||||
\(309\) | −2.87132 | + | 6.28732i | −0.163344 | + | 0.357673i | ||||
\(310\) | 15.4288 | + | 14.7113i | 0.876296 | + | 0.835546i | ||||
\(311\) | 3.41909 | − | 14.0937i | 0.193879 | − | 0.799179i | −0.788920 | − | 0.614496i | \(-0.789359\pi\) |
0.982798 | − | 0.184682i | \(-0.0591256\pi\) | |||||||
\(312\) | 1.94314 | + | 2.72876i | 0.110009 | + | 0.154486i | ||||
\(313\) | −25.5232 | + | 20.0717i | −1.44266 | + | 1.13452i | −0.475690 | + | 0.879613i | \(0.657801\pi\) |
−0.966966 | + | 0.254904i | \(0.917956\pi\) | |||||||
\(314\) | 30.0792 | + | 34.7133i | 1.69747 | + | 1.95898i | ||||
\(315\) | 8.34164 | − | 2.19541i | 0.469998 | − | 0.123698i | ||||
\(316\) | 31.4433 | − | 20.2074i | 1.76882 | − | 1.13675i | ||||
\(317\) | −7.66553 | + | 3.06882i | −0.430539 | + | 0.172362i | −0.576802 | − | 0.816884i | \(-0.695700\pi\) |
0.146263 | + | 0.989246i | \(0.453275\pi\) | |||||||
\(318\) | 10.7554 | − | 5.54481i | 0.603134 | − | 0.310937i | ||||
\(319\) | −1.35515 | − | 3.91546i | −0.0758741 | − | 0.219224i | ||||
\(320\) | 7.59837 | + | 31.3209i | 0.424762 | + | 1.75089i | ||||
\(321\) | 4.43718 | 0.247659 | ||||||||
\(322\) | 22.9060 | + | 12.6565i | 1.27650 | + | 0.705316i | ||||
\(323\) | −35.7518 | −1.98928 | ||||||||
\(324\) | 0.531370 | + | 2.19034i | 0.0295205 | + | 0.121685i | ||||
\(325\) | −11.7788 | − | 34.0325i | −0.653368 | − | 1.88778i | ||||
\(326\) | 4.57444 | − | 2.35829i | 0.253355 | − | 0.130613i | ||||
\(327\) | 14.1467 | − | 5.66350i | 0.782316 | − | 0.313192i | ||||
\(328\) | 0.609659 | − | 0.391804i | 0.0336628 | − | 0.0216338i | ||||
\(329\) | 2.72316 | − | 9.98510i | 0.150132 | − | 0.550496i | ||||
\(330\) | 14.5001 | + | 16.7340i | 0.798202 | + | 0.921174i | ||||
\(331\) | 17.9871 | − | 14.1452i | 0.988660 | − | 0.777491i | 0.0137078 | − | 0.999906i | \(-0.495637\pi\) |
0.974952 | + | 0.222415i | \(0.0713941\pi\) | |||||||
\(332\) | 1.51479 | + | 2.12722i | 0.0831349 | + | 0.116747i | ||||
\(333\) | −1.31241 | + | 5.40983i | −0.0719197 | + | 0.296457i | ||||
\(334\) | −37.3425 | − | 35.6060i | −2.04329 | − | 1.94827i | ||||
\(335\) | 11.8779 | − | 26.0090i | 0.648960 | − | 1.42102i | ||||
\(336\) | −4.31093 | − | 7.97905i | −0.235181 | − | 0.435293i | ||||
\(337\) | 14.5999 | + | 16.8492i | 0.795306 | + | 0.917832i | 0.998114 | − | 0.0613864i | \(-0.0195522\pi\) |
−0.202808 | + | 0.979219i | \(0.565007\pi\) | |||||||
\(338\) | −33.4172 | + | 46.9279i | −1.81766 | + | 2.55254i | ||||
\(339\) | 0.137033 | + | 2.87668i | 0.00744263 | + | 0.156240i | ||||
\(340\) | −39.5795 | − | 31.1256i | −2.14650 | − | 1.68802i | ||||
\(341\) | 0.496753 | − | 10.4281i | 0.0269007 | − | 0.564715i | ||||
\(342\) | 7.04684 | − | 8.13249i | 0.381050 | − | 0.439755i | ||||
\(343\) | −13.2694 | + | 12.9199i | −0.716479 | + | 0.697609i | ||||
\(344\) | −1.69735 | −0.0915147 | ||||||||
\(345\) | 11.3217 | − | 10.7835i | 0.609542 | − | 0.580566i | ||||
\(346\) | 9.77048 | − | 16.9230i | 0.525264 | − | 0.909784i | ||||
\(347\) | −19.1016 | + | 18.2134i | −1.02543 | + | 0.977746i | −0.999760 | − | 0.0219247i | \(-0.993021\pi\) |
−0.0256707 | + | 0.999670i | \(0.508172\pi\) | |||||||
\(348\) | −2.78468 | − | 0.536704i | −0.149275 | − | 0.0287704i | ||||
\(349\) | −10.9268 | − | 7.02221i | −0.584897 | − | 0.375890i | 0.214473 | − | 0.976730i | \(-0.431197\pi\) |
−0.799370 | + | 0.600840i | \(0.794833\pi\) | |||||||
\(350\) | −6.39566 | − | 30.0431i | −0.341862 | − | 1.60587i | ||||
\(351\) | −5.38221 | + | 3.45893i | −0.287281 | + | 0.184624i | ||||
\(352\) | 15.5043 | − | 21.7727i | 0.826381 | − | 1.16049i | ||||
\(353\) | −1.41139 | + | 0.272024i | −0.0751209 | + | 0.0144784i | −0.226673 | − | 0.973971i | \(-0.572785\pi\) |
0.151552 | + | 0.988449i | \(0.451573\pi\) | |||||||
\(354\) | −1.05767 | − | 0.423426i | −0.0562144 | − | 0.0225049i | ||||
\(355\) | 10.7499 | − | 1.02649i | 0.570546 | − | 0.0544806i | ||||
\(356\) | 17.2828 | − | 5.07468i | 0.915985 | − | 0.268957i | ||||
\(357\) | 16.6341 | + | 7.21086i | 0.880370 | + | 0.381639i | ||||
\(358\) | 8.60154 | − | 18.8347i | 0.454605 | − | 0.995447i | ||||
\(359\) | 16.5075 | − | 12.9816i | 0.871232 | − | 0.685145i | −0.0789367 | − | 0.996880i | \(-0.525152\pi\) |
0.950169 | + | 0.311735i | \(0.100910\pi\) | |||||||
\(360\) | 1.67620 | − | 0.323061i | 0.0883435 | − | 0.0170268i | ||||
\(361\) | −8.18397 | − | 0.781474i | −0.430735 | − | 0.0411302i | ||||
\(362\) | −33.1630 | − | 17.0967i | −1.74301 | − | 0.898585i | ||||
\(363\) | −0.0222815 | + | 0.154971i | −0.00116948 | + | 0.00813389i | ||||
\(364\) | −25.7883 | + | 28.1158i | −1.35167 | + | 1.47367i | ||||
\(365\) | 20.4676 | − | 23.6208i | 1.07132 | − | 1.23637i | ||||
\(366\) | −2.94327 | − | 12.1323i | −0.153847 | − | 0.634166i | ||||
\(367\) | −17.2209 | + | 29.8274i | −0.898923 | + | 1.55698i | −0.0700492 | + | 0.997544i | \(0.522316\pi\) |
−0.828873 | + | 0.559436i | \(0.811018\pi\) | |||||||
\(368\) | −13.8247 | − | 8.89522i | −0.720664 | − | 0.463695i | ||||
\(369\) | 0.692038 | + | 1.19865i | 0.0360261 | + | 0.0623990i | ||||
\(370\) | 35.9154 | + | 10.5457i | 1.86715 | + | 0.548246i | ||||
\(371\) | 9.82972 | + | 12.0136i | 0.510334 | + | 0.623715i | ||||
\(372\) | −6.01133 | − | 3.86325i | −0.311673 | − | 0.200300i | ||||
\(373\) | 11.5980 | − | 4.64315i | 0.600523 | − | 0.240413i | −0.0514251 | − | 0.998677i | \(-0.516376\pi\) |
0.651948 | + | 0.758264i | \(0.273952\pi\) | |||||||
\(374\) | 2.21443 | + | 46.4866i | 0.114505 | + | 2.40376i | ||||
\(375\) | −2.04126 | − | 0.194917i | −0.105410 | − | 0.0100655i | ||||
\(376\) | 0.669915 | − | 1.93559i | 0.0345483 | − | 0.0998206i | ||||
\(377\) | −1.14565 | − | 7.96815i | −0.0590039 | − | 0.410381i | ||||
\(378\) | −4.91892 | + | 2.36248i | −0.253002 | + | 0.121513i | ||||
\(379\) | 27.3557 | − | 8.03235i | 1.40517 | − | 0.412594i | 0.510711 | − | 0.859752i | \(-0.329382\pi\) |
0.894455 | + | 0.447158i | \(0.147564\pi\) | |||||||
\(380\) | −27.7464 | − | 26.4561i | −1.42336 | − | 1.35717i | ||||
\(381\) | −0.993321 | − | 1.39492i | −0.0508894 | − | 0.0714641i | ||||
\(382\) | −23.3576 | − | 9.35099i | −1.19508 | − | 0.478438i | ||||
\(383\) | 0.952183 | − | 2.75115i | 0.0486543 | − | 0.140577i | −0.918056 | − | 0.396451i | \(-0.870242\pi\) |
0.966710 | + | 0.255873i | \(0.0823630\pi\) | |||||||
\(384\) | −1.72607 | − | 3.77958i | −0.0880834 | − | 0.192876i | ||||
\(385\) | −17.1228 | + | 22.6626i | −0.872658 | + | 1.15499i | ||||
\(386\) | 2.49697 | − | 17.3668i | 0.127093 | − | 0.883948i | ||||
\(387\) | 0.154245 | − | 3.23801i | 0.00784073 | − | 0.164597i | ||||
\(388\) | 12.8053 | + | 36.9984i | 0.650090 | + | 1.87831i | ||||
\(389\) | 13.8587 | − | 13.2142i | 0.702664 | − | 0.669989i | −0.251982 | − | 0.967732i | \(-0.581082\pi\) |
0.954646 | + | 0.297743i | \(0.0962340\pi\) | |||||||
\(390\) | 21.5100 | + | 37.2564i | 1.08920 | + | 1.88655i | ||||
\(391\) | 32.7159 | − | 3.10608i | 1.65452 | − | 0.157081i | ||||
\(392\) | −2.79122 | + | 2.37546i | −0.140978 | + | 0.119979i | ||||
\(393\) | −6.28903 | − | 1.84662i | −0.317239 | − | 0.0931499i | ||||
\(394\) | 46.3078 | + | 8.92511i | 2.33296 | + | 0.449640i | ||||
\(395\) | 48.0551 | − | 24.7741i | 2.41791 | − | 1.24652i | ||||
\(396\) | −5.83397 | − | 4.58788i | −0.293168 | − | 0.230550i | ||||
\(397\) | −4.38896 | − | 2.26267i | −0.220276 | − | 0.113560i | 0.344557 | − | 0.938765i | \(-0.388029\pi\) |
−0.564833 | + | 0.825205i | \(0.691059\pi\) | |||||||
\(398\) | 8.27684 | + | 18.1237i | 0.414880 | + | 0.908461i | ||||
\(399\) | 12.0859 | + | 6.66934i | 0.605050 | + | 0.333885i | ||||
\(400\) | 2.74597 | + | 19.0986i | 0.137298 | + | 0.954932i | ||||
\(401\) | 3.84404 | − | 0.367062i | 0.191962 | − | 0.0183302i | 0.00136801 | − | 0.999999i | \(-0.499565\pi\) |
0.190594 | + | 0.981669i | \(0.438958\pi\) | |||||||
\(402\) | −4.26455 | + | 17.5787i | −0.212696 | + | 0.876746i | ||||
\(403\) | 4.78208 | − | 19.7120i | 0.238212 | − | 0.981924i | ||||
\(404\) | −23.8011 | + | 2.27273i | −1.18415 | + | 0.113073i | ||||
\(405\) | 0.463976 | + | 3.22702i | 0.0230552 | + | 0.160352i | ||||
\(406\) | −0.132864 | − | 6.86479i | −0.00659395 | − | 0.340694i | ||||
\(407\) | −7.61496 | − | 16.6744i | −0.377459 | − | 0.826521i | ||||
\(408\) | 3.18908 | + | 1.64409i | 0.157883 | + | 0.0813944i | ||||
\(409\) | −3.22800 | − | 2.53853i | −0.159615 | − | 0.125522i | 0.535157 | − | 0.844752i | \(-0.320252\pi\) |
−0.694772 | + | 0.719230i | \(0.744495\pi\) | |||||||
\(410\) | 8.27216 | − | 4.26459i | 0.408533 | − | 0.210613i | ||||
\(411\) | −4.45793 | − | 0.859195i | −0.219893 | − | 0.0423810i | ||||
\(412\) | −14.9476 | − | 4.38900i | −0.736413 | − | 0.216230i | ||||
\(413\) | 0.248762 | − | 1.44013i | 0.0122408 | − | 0.0708642i | ||||
\(414\) | −5.74192 | + | 8.05415i | −0.282200 | + | 0.395840i | ||||
\(415\) | 1.88872 | + | 3.27137i | 0.0927139 | + | 0.160585i | ||||
\(416\) | 37.5846 | − | 35.8368i | 1.84274 | − | 1.75705i | ||||
\(417\) | 3.69384 | + | 10.6726i | 0.180888 | + | 0.522642i | ||||
\(418\) | −1.68605 | + | 35.3946i | −0.0824675 | + | 1.73121i | ||||
\(419\) | 4.61123 | − | 32.0718i | 0.225274 | − | 1.56681i | −0.492361 | − | 0.870391i | \(-0.663866\pi\) |
0.717634 | − | 0.696420i | \(-0.245225\pi\) | |||||||
\(420\) | 7.57346 | + | 17.9054i | 0.369547 | + | 0.873693i | ||||
\(421\) | 1.46591 | + | 3.20990i | 0.0714441 | + | 0.156441i | 0.941985 | − | 0.335656i | \(-0.108958\pi\) |
−0.870541 | + | 0.492097i | \(0.836231\pi\) | |||||||
\(422\) | −3.84600 | + | 11.1123i | −0.187220 | + | 0.540938i | ||||
\(423\) | 3.63163 | + | 1.45389i | 0.176576 | + | 0.0706904i | ||||
\(424\) | 1.78191 | + | 2.50234i | 0.0865371 | + | 0.121524i | ||||
\(425\) | −27.9159 | − | 26.6177i | −1.35412 | − | 1.29115i | ||||
\(426\) | −6.55488 | + | 1.92469i | −0.317585 | + | 0.0932513i | ||||
\(427\) | 14.4360 | − | 6.93339i | 0.698608 | − | 0.335530i | ||||
\(428\) | 1.42326 | + | 9.89902i | 0.0687960 | + | 0.478487i | ||||
\(429\) | 6.89057 | − | 19.9090i | 0.332680 | − | 0.961215i | ||||
\(430\) | −21.6988 | − | 2.07199i | −1.04641 | − | 0.0999201i | ||||
\(431\) | −0.0409195 | − | 0.859007i | −0.00197102 | − | 0.0413769i | 0.997668 | − | 0.0682602i | \(-0.0217448\pi\) |
−0.999639 | + | 0.0268833i | \(0.991442\pi\) | |||||||
\(432\) | 3.18227 | − | 1.27399i | 0.153107 | − | 0.0612949i | ||||
\(433\) | −13.7484 | − | 8.83555i | −0.660705 | − | 0.424609i | 0.166859 | − | 0.985981i | \(-0.446638\pi\) |
−0.827564 | + | 0.561371i | \(0.810274\pi\) | |||||||
\(434\) | 6.11791 | − | 16.1826i | 0.293669 | − | 0.776787i | ||||
\(435\) | −3.93600 | − | 1.15571i | −0.188717 | − | 0.0554122i | ||||
\(436\) | 17.1725 | + | 29.7437i | 0.822415 | + | 1.42447i | ||||
\(437\) | 25.0217 | + | 0.0135763i | 1.19695 | + | 0.000649443i | ||||
\(438\) | −9.88630 | + | 17.1236i | −0.472386 | + | 0.818196i | ||||
\(439\) | −5.50552 | − | 22.6941i | −0.262764 | − | 1.08313i | −0.938306 | − | 0.345807i | \(-0.887605\pi\) |
0.675541 | − | 0.737322i | \(-0.263910\pi\) | |||||||
\(440\) | −3.68110 | + | 4.24822i | −0.175490 | + | 0.202526i | ||||
\(441\) | −4.27799 | − | 5.54065i | −0.203714 | − | 0.263840i | ||||
\(442\) | −12.8683 | + | 89.5007i | −0.612081 | + | 4.25711i | ||||
\(443\) | 12.7925 | + | 6.59500i | 0.607790 | + | 0.313338i | 0.734507 | − | 0.678601i | \(-0.237414\pi\) |
−0.126717 | + | 0.991939i | \(0.540444\pi\) | |||||||
\(444\) | −12.4899 | − | 1.19264i | −0.592745 | − | 0.0566003i | ||||
\(445\) | 25.5840 | − | 4.93091i | 1.21280 | − | 0.233748i | ||||
\(446\) | 16.4291 | − | 12.9200i | 0.777942 | − | 0.611780i | ||||
\(447\) | −0.895955 | + | 1.96187i | −0.0423772 | + | 0.0927932i | ||||
\(448\) | 21.0077 | − | 15.5809i | 0.992521 | − | 0.736127i | ||||
\(449\) | −13.5944 | + | 3.99169i | −0.641562 | + | 0.188379i | −0.586302 | − | 0.810093i | \(-0.699417\pi\) |
−0.0552595 | + | 0.998472i | \(0.517599\pi\) | |||||||
\(450\) | 11.5571 | − | 1.10357i | 0.544807 | − | 0.0520228i | ||||
\(451\) | −4.23120 | − | 1.69392i | −0.199239 | − | 0.0797634i | ||||
\(452\) | −6.37372 | + | 1.22843i | −0.299794 | + | 0.0577806i | ||||
\(453\) | −12.0369 | + | 16.9035i | −0.565544 | + | 0.794196i | ||||
\(454\) | 46.6690 | − | 29.9923i | 2.19028 | − | 1.40761i | ||||
\(455\) | −40.9996 | + | 36.9393i | −1.92209 | + | 1.73174i | ||||
\(456\) | 2.29816 | + | 1.47694i | 0.107621 | + | 0.0691640i | ||||
\(457\) | 11.3006 | + | 2.17801i | 0.528619 | + | 0.101883i | 0.446576 | − | 0.894746i | \(-0.352643\pi\) |
0.0820431 | + | 0.996629i | \(0.473855\pi\) | |||||||
\(458\) | −2.86830 | + | 2.73492i | −0.134027 | + | 0.127794i | ||||
\(459\) | −3.42621 | + | 5.93437i | −0.159922 | + | 0.276993i | ||||
\(460\) | 27.6888 | + | 21.7990i | 1.29100 | + | 1.01639i | ||||
\(461\) | 16.4369 | 0.765543 | 0.382771 | − | 0.923843i | \(-0.374970\pi\) | ||||
0.382771 | + | 0.923843i | \(0.374970\pi\) | |||||||
\(462\) | 7.92328 | − | 16.1278i | 0.368624 | − | 0.750335i | ||||
\(463\) | 17.6318 | − | 20.3482i | 0.819421 | − | 0.945663i | −0.179855 | − | 0.983693i | \(-0.557563\pi\) |
0.999277 | + | 0.0380303i | \(0.0121083\pi\) | |||||||
\(464\) | −0.205223 | + | 4.30817i | −0.00952725 | + | 0.200002i | ||||
\(465\) | −8.12479 | − | 6.38941i | −0.376778 | − | 0.296302i | ||||
\(466\) | 0.857436 | + | 17.9998i | 0.0397200 | + | 0.833825i | ||||
\(467\) | −15.1407 | + | 21.2622i | −0.700630 | + | 0.983897i | 0.298931 | + | 0.954275i | \(0.403370\pi\) |
−0.999561 | + | 0.0296227i | \(0.990569\pi\) | |||||||
\(468\) | −9.44302 | − | 10.8978i | −0.436504 | − | 0.503752i | ||||
\(469\) | −23.1947 | − | 0.655374i | −1.07103 | − | 0.0302624i | ||||
\(470\) | 10.9270 | − | 23.9268i | 0.504025 | − | 1.10366i | ||||
\(471\) | −16.1178 | − | 15.3683i | −0.742667 | − | 0.708132i | ||||
\(472\) | 0.0681877 | − | 0.281073i | 0.00313859 | − | 0.0129375i | ||||
\(473\) | 6.19190 | + | 8.69530i | 0.284704 | + | 0.399811i | ||||
\(474\) | −26.8854 | + | 21.1429i | −1.23489 | + | 0.971126i | ||||
\(475\) | −19.2323 | − | 22.1952i | −0.882437 | − | 1.01839i | ||||
\(476\) | −10.7514 | + | 39.4224i | −0.492788 | + | 1.80692i | ||||
\(477\) | −4.93561 | + | 3.17193i | −0.225986 | + | 0.145233i | ||||
\(478\) | 15.5867 | − | 6.23996i | 0.712918 | − | 0.285409i | ||||
\(479\) | −33.0323 | + | 17.0293i | −1.50929 | + | 0.778091i | −0.996749 | − | 0.0805743i | \(-0.974325\pi\) |
−0.512537 | + | 0.858665i | \(0.671294\pi\) | |||||||
\(480\) | −8.65528 | − | 25.0078i | −0.395058 | − | 1.14144i | ||||
\(481\) | −8.39660 | − | 34.6112i | −0.382852 | − | 1.57814i | ||||
\(482\) | −25.0150 | −1.13940 | ||||||||
\(483\) | −11.6390 | − | 5.05301i | −0.529594 | − | 0.229920i | ||||
\(484\) | −0.352877 | −0.0160399 | ||||||||
\(485\) | 13.3517 | + | 55.0364i | 0.606269 | + | 2.49907i | ||||
\(486\) | −0.674575 | − | 1.94906i | −0.0305993 | − | 0.0884110i | ||||
\(487\) | −5.46049 | + | 2.81508i | −0.247438 | + | 0.127563i | −0.577485 | − | 0.816401i | \(-0.695966\pi\) |
0.330047 | + | 0.943965i | \(0.392936\pi\) | |||||||
\(488\) | 2.94232 | − | 1.17793i | 0.133193 | − | 0.0533223i | ||||
\(489\) | −2.09919 | + | 1.34907i | −0.0949286 | + | 0.0610069i | ||||
\(490\) | −38.5827 | + | 26.9606i | −1.74299 | + | 1.21795i | ||||
\(491\) | 20.0688 | + | 23.1606i | 0.905692 | + | 1.04522i | 0.998771 | + | 0.0495651i | \(0.0157835\pi\) |
−0.0930794 | + | 0.995659i | \(0.529671\pi\) | |||||||
\(492\) | −2.45211 | + | 1.92836i | −0.110550 | + | 0.0869373i | ||||
\(493\) | −5.00129 | − | 7.02333i | −0.225247 | − | 0.316315i | ||||
\(494\) | −16.2311 | + | 66.9054i | −0.730270 | + | 3.01022i | ||||
\(495\) | −7.76976 | − | 7.40846i | −0.349225 | − | 0.332985i | ||||
\(496\) | −4.51455 | + | 9.88549i | −0.202709 | + | 0.443871i | ||||
\(497\) | −4.16567 | − | 7.71018i | −0.186856 | − | 0.345849i | ||||
\(498\) | −1.56493 | − | 1.80602i | −0.0701261 | − | 0.0809298i | ||||
\(499\) | 6.62184 | − | 9.29907i | 0.296434 | − | 0.416284i | −0.639318 | − | 0.768943i | \(-0.720783\pi\) |
0.935752 | + | 0.352659i | \(0.114722\pi\) | |||||||
\(500\) | −0.219907 | − | 4.61642i | −0.00983455 | − | 0.206453i | ||||
\(501\) | 19.6646 | + | 15.4644i | 0.878548 | + | 0.690898i | ||||
\(502\) | 1.23436 | − | 25.9124i | 0.0550922 | − | 1.15653i | ||||
\(503\) | −3.58249 | + | 4.13441i | −0.159735 | + | 0.184344i | −0.829975 | − | 0.557800i | \(-0.811646\pi\) |
0.670240 | + | 0.742144i | \(0.266191\pi\) | |||||||
\(504\) | −0.771371 | − | 1.15069i | −0.0343596 | − | 0.0512559i | ||||
\(505\) | −34.5848 | −1.53900 | ||||||||
\(506\) | −1.53217 | − | 32.5356i | −0.0681131 | − | 1.44638i | ||||
\(507\) | 13.9662 | − | 24.1901i | 0.620260 | − | 1.07432i | ||||
\(508\) | 2.79336 | − | 2.66346i | 0.123935 | − | 0.118172i | ||||
\(509\) | 41.1036 | + | 7.92207i | 1.82188 | + | 0.351140i | 0.981592 | − | 0.190992i | \(-0.0611706\pi\) |
0.840293 | + | 0.542132i | \(0.182383\pi\) | |||||||
\(510\) | 38.7622 | + | 24.9110i | 1.71642 | + | 1.10308i | ||||
\(511\) | −24.1252 | − | 7.83044i | −1.06724 | − | 0.346398i | ||||
\(512\) | −26.4266 | + | 16.9833i | −1.16790 | + | 0.750564i | ||||
\(513\) | −3.02638 | + | 4.24996i | −0.133618 | + | 0.187640i | ||||
\(514\) | 39.2748 | − | 7.56960i | 1.73234 | − | 0.333881i | ||||
\(515\) | −20.9202 | − | 8.37517i | −0.921853 | − | 0.369054i | ||||
\(516\) | 7.27323 | − | 0.694509i | 0.320186 | − | 0.0305741i | ||||
\(517\) | −12.3597 | + | 3.62913i | −0.543578 | + | 0.159609i | ||||
\(518\) | −3.47212 | − | 30.1778i | −0.152556 | − | 1.32593i | ||||
\(519\) | −3.93583 | + | 8.61826i | −0.172764 | + | 0.378300i | ||||
\(520\) | −8.58482 | + | 6.75117i | −0.376469 | + | 0.296059i | ||||
\(521\) | −14.4851 | + | 2.79177i | −0.634603 | + | 0.122310i | −0.496400 | − | 0.868094i | \(-0.665345\pi\) |
−0.138203 | + | 0.990404i | \(0.544133\pi\) | |||||||
\(522\) | 2.58338 | + | 0.246683i | 0.113072 | + | 0.0107970i | ||||
\(523\) | 3.02089 | + | 1.55738i | 0.132094 | + | 0.0680993i | 0.523007 | − | 0.852328i | \(-0.324810\pi\) |
−0.390913 | + | 0.920428i | \(0.627841\pi\) | |||||||
\(524\) | 2.10242 | − | 14.6227i | 0.0918448 | − | 0.638795i | ||||
\(525\) | 4.47152 | + | 14.2057i | 0.195153 | + | 0.619988i | ||||
\(526\) | −23.3825 | + | 26.9849i | −1.01953 | + | 1.17660i | ||||
\(527\) | −5.12186 | − | 21.1126i | −0.223112 | − | 0.919678i | ||||
\(528\) | −5.64379 | + | 9.77533i | −0.245614 | + | 0.425417i | ||||
\(529\) | −22.8982 | + | 2.16144i | −0.995574 | + | 0.0939757i | ||||
\(530\) | 19.7252 | + | 34.1651i | 0.856809 | + | 1.48404i | ||||
\(531\) | 0.530004 | + | 0.155623i | 0.0230002 | + | 0.00675347i | ||||
\(532\) | −11.0022 | + | 29.1019i | −0.477004 | + | 1.26173i | ||||
\(533\) | −7.44938 | − | 4.78743i | −0.322669 | − | 0.207366i | ||||
\(534\) | −15.3022 | + | 6.12609i | −0.662193 | + | 0.265102i | ||||
\(535\) | 0.688326 | + | 14.4497i | 0.0297589 | + | 0.624717i | ||||
\(536\) | −4.57132 | − | 0.436509i | −0.197451 | − | 0.0188543i | ||||
\(537\) | −3.28352 | + | 9.48711i | −0.141694 | + | 0.409399i | ||||
\(538\) | 1.57132 | + | 10.9288i | 0.0677443 | + | 0.471172i | ||||
\(539\) | 22.3516 | + | 5.63343i | 0.962750 | + | 0.242649i | ||||
\(540\) | −7.05043 | + | 2.07019i | −0.303402 | + | 0.0890869i | ||||
\(541\) | 1.95915 | + | 1.86804i | 0.0842303 | + | 0.0803134i | 0.731025 | − | 0.682351i | \(-0.239042\pi\) |
−0.646794 | + | 0.762664i | \(0.723891\pi\) | |||||||
\(542\) | −26.2345 | − | 36.8412i | −1.12687 | − | 1.58246i | ||||
\(543\) | 16.7943 | + | 6.72341i | 0.720711 | + | 0.288529i | ||||
\(544\) | 18.1920 | − | 52.5622i | 0.779974 | − | 2.25359i | ||||
\(545\) | 20.6378 | + | 45.1905i | 0.884027 | + | 1.93575i | ||||
\(546\) | 21.0461 | − | 27.8551i | 0.900689 | − | 1.19209i | ||||
\(547\) | 0.698412 | − | 4.85756i | 0.0298619 | − | 0.207694i | −0.969428 | − | 0.245377i | \(-0.921088\pi\) |
0.999290 | + | 0.0376823i | \(0.0119975\pi\) | |||||||
\(548\) | 0.486882 | − | 10.2209i | 0.0207986 | − | 0.436616i | ||||
\(549\) | 1.97974 | + | 5.72008i | 0.0844931 | + | 0.244127i | ||||
\(550\) | −27.6683 | + | 26.3817i | −1.17978 | + | 1.12492i | ||||
\(551\) | −3.28240 | − | 5.68528i | −0.139835 | − | 0.242201i | ||||
\(552\) | −2.23133 | − | 1.15186i | −0.0949718 | − | 0.0490266i | ||||
\(553\) | −33.7086 | − | 28.0853i | −1.43344 | − | 1.19431i | ||||
\(554\) | −25.9648 | − | 7.62396i | −1.10314 | − | 0.323911i | ||||
\(555\) | −17.8208 | − | 3.43468i | −0.756451 | − | 0.145794i | ||||
\(556\) | −22.6251 | + | 11.6640i | −0.959516 | + | 0.494665i | ||||
\(557\) | −1.57197 | − | 1.23621i | −0.0666067 | − | 0.0523801i | 0.584301 | − | 0.811537i | \(-0.301369\pi\) |
−0.650907 | + | 0.759157i | \(0.725611\pi\) | |||||||
\(558\) | 5.81204 | + | 2.99631i | 0.246043 | + | 0.126844i | ||||
\(559\) | 8.61560 | + | 18.8655i | 0.364401 | + | 0.797927i | ||||
\(560\) | 25.3152 | − | 15.2764i | 1.06976 | − | 0.645545i | ||||
\(561\) | −3.21128 | − | 22.3349i | −0.135580 | − | 0.942981i | ||||
\(562\) | 28.3579 | − | 2.70785i | 1.19621 | − | 0.114224i | ||||
\(563\) | −4.72080 | + | 19.4594i | −0.198958 | + | 0.820116i | 0.781583 | + | 0.623801i | \(0.214412\pi\) |
−0.980541 | + | 0.196314i | \(0.937103\pi\) | |||||||
\(564\) | −2.07864 | + | 8.56825i | −0.0875263 | + | 0.360788i | ||||
\(565\) | −9.34671 | + | 0.892503i | −0.393219 | + | 0.0375479i | ||||
\(566\) | −3.27649 | − | 22.7885i | −0.137721 | − | 0.957873i | ||||
\(567\) | 2.26526 | − | 1.36697i | 0.0951320 | − | 0.0574072i | ||||
\(568\) | −0.720466 | − | 1.57760i | −0.0302301 | − | 0.0661946i | ||||
\(569\) | 7.48805 | + | 3.86036i | 0.313915 | + | 0.161835i | 0.607983 | − | 0.793950i | \(-0.291979\pi\) |
−0.294068 | + | 0.955785i | \(0.595009\pi\) | |||||||
\(570\) | 27.5767 | + | 21.6866i | 1.15506 | + | 0.908351i | ||||
\(571\) | −20.9511 | + | 10.8010i | −0.876775 | + | 0.452009i | −0.837002 | − | 0.547200i | \(-0.815694\pi\) |
−0.0397728 | + | 0.999209i | \(0.512663\pi\) | |||||||
\(572\) | 46.6257 | + | 8.98637i | 1.94952 | + | 0.375739i | ||||
\(573\) | 11.7047 | + | 3.43680i | 0.488969 | + | 0.143574i | ||||
\(574\) | −5.80257 | − | 4.83457i | −0.242195 | − | 0.201791i | ||||
\(575\) | 19.5275 | + | 18.6397i | 0.814352 | + | 0.777328i | ||||
\(576\) | 4.94284 | + | 8.56126i | 0.205952 | + | 0.356719i | ||||
\(577\) | 19.9857 | − | 19.0563i | 0.832016 | − | 0.793325i | −0.148676 | − | 0.988886i | \(-0.547501\pi\) |
0.980692 | + | 0.195561i | \(0.0626527\pi\) | |||||||
\(578\) | 20.2074 | + | 58.3853i | 0.840515 | + | 2.42851i | ||||
\(579\) | −0.404775 | + | 8.49727i | −0.0168219 | + | 0.353134i | ||||
\(580\) | 1.31581 | − | 9.15163i | 0.0546358 | − | 0.380001i | ||||
\(581\) | 1.84799 | − | 2.44587i | 0.0766674 | − | 0.101472i | ||||
\(582\) | −14.8832 | − | 32.5897i | −0.616929 | − | 1.35089i | ||||
\(583\) | 6.31882 | − | 18.2570i | 0.261699 | − | 0.756129i | ||||
\(584\) | −4.66007 | − | 1.86561i | −0.192835 | − | 0.0771995i | ||||
\(585\) | −12.0990 | − | 16.9907i | −0.500232 | − | 0.702478i | ||||
\(586\) | 21.7638 | + | 20.7518i | 0.899055 | + | 0.857247i | ||||
\(587\) | −15.2070 | + | 4.46519i | −0.627662 | + | 0.184298i | −0.580067 | − | 0.814569i | \(-0.696974\pi\) |
−0.0475946 | + | 0.998867i | \(0.515156\pi\) | |||||||
\(588\) | 10.9886 | − | 11.3211i | 0.453161 | − | 0.466875i | ||||
\(589\) | −2.35407 | − | 16.3729i | −0.0969976 | − | 0.674633i | ||||
\(590\) | 1.21482 | − | 3.51000i | 0.0500134 | − | 0.144504i | ||||
\(591\) | −22.7621 | − | 2.17351i | −0.936306 | − | 0.0894064i | ||||
\(592\) | 0.907948 | + | 19.0602i | 0.0373164 | + | 0.783368i | ||||
\(593\) | −32.7209 | + | 13.0995i | −1.34369 | + | 0.537931i | −0.928340 | − | 0.371732i | \(-0.878764\pi\) |
−0.415347 | + | 0.909663i | \(0.636340\pi\) | |||||||
\(594\) | 5.71350 | + | 3.67184i | 0.234428 | + | 0.150658i | ||||
\(595\) | −20.9019 | + | 55.2878i | −0.856894 | + | 2.26658i | ||||
\(596\) | −4.66417 | − | 1.36952i | −0.191052 | − | 0.0560979i | ||||
\(597\) | −4.83015 | − | 8.36606i | −0.197685 | − | 0.342400i | ||||
\(598\) | 9.04014 | − | 62.6343i | 0.369679 | − | 2.56131i | ||||
\(599\) | 7.58648 | − | 13.1402i | 0.309975 | − | 0.536893i | −0.668381 | − | 0.743819i | \(-0.733013\pi\) |
0.978357 | + | 0.206926i | \(0.0663459\pi\) | |||||||
\(600\) | 0.694859 | + | 2.86425i | 0.0283675 | + | 0.116932i | ||||
\(601\) | 11.2253 | − | 12.9546i | 0.457888 | − | 0.528430i | −0.479115 | − | 0.877752i | \(-0.659042\pi\) |
0.937003 | + | 0.349321i | \(0.113588\pi\) | |||||||
\(602\) | 5.31116 | + | 16.8731i | 0.216467 | + | 0.687698i | ||||
\(603\) | 1.24814 | − | 8.68100i | 0.0508281 | − | 0.353517i | ||||
\(604\) | −41.5714 | − | 21.4316i | −1.69152 | − | 0.872038i | ||||
\(605\) | −0.508123 | − | 0.0485199i | −0.0206581 | − | 0.00197261i | ||||
\(606\) | 21.4839 | − | 4.14067i | 0.872722 | − | 0.168203i | ||||
\(607\) | 1.38660 | − | 1.09043i | 0.0562802 | − | 0.0442592i | −0.589623 | − | 0.807679i | \(-0.700724\pi\) |
0.645903 | + | 0.763420i | \(0.276481\pi\) | |||||||
\(608\) | 17.5927 | − | 38.5227i | 0.713480 | − | 1.56230i | ||||
\(609\) | 0.380512 | + | 3.30720i | 0.0154191 | + | 0.134015i | ||||
\(610\) | 39.0525 | − | 11.4668i | 1.58119 | − | 0.464279i | ||||
\(611\) | −24.9140 | + | 2.37900i | −1.00791 | + | 0.0962441i | ||||
\(612\) | −14.3381 | − | 5.74012i | −0.579585 | − | 0.232031i | ||||
\(613\) | −2.88352 | + | 0.555753i | −0.116464 | + | 0.0224467i | −0.247150 | − | 0.968977i | \(-0.579494\pi\) |
0.130686 | + | 0.991424i | \(0.458282\pi\) | |||||||
\(614\) | 20.9936 | − | 29.4814i | 0.847234 | − | 1.18977i | ||||
\(615\) | −3.79605 | + | 2.43958i | −0.153072 | + | 0.0983732i | ||||
\(616\) | 4.33894 | + | 1.40831i | 0.174821 | + | 0.0567424i | ||||
\(617\) | 41.4552 | + | 26.6416i | 1.66892 | + | 1.07255i | 0.903025 | + | 0.429588i | \(0.141341\pi\) |
0.765897 | + | 0.642963i | \(0.222295\pi\) | |||||||
\(618\) | 13.9982 | + | 2.69793i | 0.563090 | + | 0.108527i | ||||
\(619\) | 10.3447 | − | 9.86361i | 0.415787 | − | 0.396452i | −0.453102 | − | 0.891459i | \(-0.649683\pi\) |
0.868889 | + | 0.495006i | \(0.164834\pi\) | |||||||
\(620\) | 11.6482 | − | 20.1753i | 0.467803 | − | 0.810259i | ||||
\(621\) | 2.40017 | − | 4.15201i | 0.0963155 | − | 0.166614i | ||||
\(622\) | −29.9112 | −1.19933 | ||||||||
\(623\) | −11.7735 | − | 17.5631i | −0.471695 | − | 0.703652i | ||||
\(624\) | −14.3615 | + | 16.5740i | −0.574920 | + | 0.663493i | ||||
\(625\) | −1.02109 | + | 21.4353i | −0.0408436 | + | 0.857412i | ||||
\(626\) | 52.6413 | + | 41.3976i | 2.10397 | + | 1.65458i | ||||
\(627\) | −0.817483 | − | 17.1611i | −0.0326471 | − | 0.685348i | ||||
\(628\) | 29.1155 | − | 40.8871i | 1.16184 | − | 1.63157i | ||||
\(629\) | −24.9801 | − | 28.8286i | −0.996023 | − | 1.14947i | ||||
\(630\) | −8.45651 | − | 15.6521i | −0.336915 | − | 0.623593i | ||||
\(631\) | 2.64847 | − | 5.79935i | 0.105434 | − | 0.230868i | −0.849561 | − | 0.527491i | \(-0.823133\pi\) |
0.954995 | + | 0.296622i | \(0.0958603\pi\) | |||||||
\(632\) | −6.28423 | − | 5.99200i | −0.249973 | − | 0.238349i | ||||
\(633\) | 1.34415 | − | 5.54066i | 0.0534252 | − | 0.220221i | ||||
\(634\) | 9.87836 | + | 13.8722i | 0.392320 | + | 0.550936i | ||||
\(635\) | 4.38850 | − | 3.45116i | 0.174152 | − | 0.136955i | ||||
\(636\) | −8.65948 | − | 9.99357i | −0.343371 | − | 0.396271i | ||||
\(637\) | 40.5707 | + | 18.9660i | 1.60747 | + | 0.751459i | ||||
\(638\) | −7.18902 | + | 4.62010i | −0.284616 | + | 0.182912i | ||||
\(639\) | 3.07504 | − | 1.23106i | 0.121647 | − | 0.0487000i | ||||
\(640\) | 12.0405 | − | 6.20730i | 0.475942 | − | 0.245365i | ||||
\(641\) | −10.3634 | − | 29.9431i | −0.409330 | − | 1.18268i | −0.941783 | − | 0.336222i | \(-0.890851\pi\) |
0.532452 | − | 0.846460i | \(-0.321271\pi\) | |||||||
\(642\) | −2.15758 | − | 8.89366i | −0.0851529 | − | 0.351005i | ||||
\(643\) | −39.9824 | −1.57675 | −0.788376 | − | 0.615194i | \(-0.789078\pi\) | ||||
−0.788376 | + | 0.615194i | \(0.789078\pi\) | |||||||
\(644\) | 7.53957 | − | 27.5866i | 0.297101 | − | 1.08707i | ||||
\(645\) | 10.5685 | 0.416136 | ||||||||
\(646\) | 17.3843 | + | 71.6592i | 0.683977 | + | 2.81939i | ||||
\(647\) | −4.57897 | − | 13.2301i | −0.180018 | − | 0.520128i | 0.818503 | − | 0.574503i | \(-0.194805\pi\) |
−0.998521 | + | 0.0543749i | \(0.982683\pi\) | |||||||
\(648\) | 0.465395 | − | 0.239928i | 0.0182824 | − | 0.00942525i | ||||
\(649\) | −1.68865 | + | 0.676035i | −0.0662855 | + | 0.0265367i | ||||
\(650\) | −62.4857 | + | 40.1571i | −2.45089 | + | 1.57509i | ||||
\(651\) | −2.20702 | + | 8.09255i | −0.0864999 | + | 0.317172i | ||||
\(652\) | −3.68300 | − | 4.25041i | −0.144237 | − | 0.166459i | ||||
\(653\) | 27.7527 | − | 21.8249i | 1.08605 | − | 0.854075i | 0.0960783 | − | 0.995374i | \(-0.469370\pi\) |
0.989967 | + | 0.141298i | \(0.0451277\pi\) | |||||||
\(654\) | −18.2305 | − | 25.6012i | −0.712869 | − | 1.00108i | ||||
\(655\) | 5.03797 | − | 20.7668i | 0.196850 | − | 0.811425i | ||||
\(656\) | 3.43365 | + | 3.27398i | 0.134062 | + | 0.127827i | ||||
\(657\) | 3.98248 | − | 8.72042i | 0.155372 | − | 0.340216i | ||||
\(658\) | −21.3378 | − | 0.602907i | −0.831834 | − | 0.0235038i | ||||
\(659\) | −16.9674 | − | 19.5814i | −0.660956 | − | 0.762784i | 0.321977 | − | 0.946747i | \(-0.395653\pi\) |
−0.982933 | + | 0.183964i | \(0.941107\pi\) | |||||||
\(660\) | 14.0355 | − | 19.7101i | 0.546331 | − | 0.767215i | ||||
\(661\) | −0.705337 | − | 14.8069i | −0.0274344 | − | 0.575920i | −0.970177 | − | 0.242398i | \(-0.922066\pi\) |
0.942742 | − | 0.333522i | \(-0.108237\pi\) | |||||||
\(662\) | −37.0982 | − | 29.1743i | −1.44186 | − | 1.13389i | ||||
\(663\) | 2.08602 | − | 43.7910i | 0.0810145 | − | 1.70070i | ||||
\(664\) | 0.397285 | − | 0.458492i | 0.0154177 | − | 0.0177929i | ||||
\(665\) | −19.8440 | + | 40.3924i | −0.769516 | + | 1.56635i | ||||
\(666\) | 11.4814 | 0.444894 | ||||||||
\(667\) | 3.49761 | + | 4.91735i | 0.135428 | + | 0.190400i | ||||
\(668\) | −28.1923 | + | 48.8305i | −1.09079 | + | 1.88931i | ||||
\(669\) | −7.33415 | + | 6.99310i | −0.283555 | + | 0.270369i | ||||
\(670\) | −57.9069 | − | 11.1606i | −2.23714 | − | 0.431173i | ||||
\(671\) | −16.7679 | − | 10.7761i | −0.647319 | − | 0.416007i | ||||
\(672\) | −15.9550 | + | 14.3750i | −0.615479 | + | 0.554528i | ||||
\(673\) | −34.2887 | + | 22.0360i | −1.32173 | + | 0.849426i | −0.995398 | − | 0.0958286i | \(-0.969450\pi\) |
−0.326334 | + | 0.945254i | \(0.605814\pi\) | |||||||
\(674\) | 26.6725 | − | 37.4562i | 1.02738 | − | 1.44276i | ||||
\(675\) | −5.52724 | + | 1.06529i | −0.212744 | + | 0.0410029i | ||||
\(676\) | 58.4462 | + | 23.3983i | 2.24793 | + | 0.899936i | ||||
\(677\) | 24.5958 | − | 2.34861i | 0.945293 | − | 0.0902646i | 0.388988 | − | 0.921243i | \(-0.372825\pi\) |
0.556305 | + | 0.830978i | \(0.312219\pi\) | |||||||
\(678\) | 5.69926 | − | 1.67345i | 0.218879 | − | 0.0642686i | ||||
\(679\) | 36.9143 | − | 27.3783i | 1.41664 | − | 1.05068i | ||||
\(680\) | −4.85928 | + | 10.6403i | −0.186345 | + | 0.408039i | ||||
\(681\) | −21.1427 | + | 16.6268i | −0.810191 | + | 0.637141i | ||||
\(682\) | −21.1432 | + | 4.07502i | −0.809615 | + | 0.156040i | ||||
\(683\) | 43.3862 | + | 4.14288i | 1.66013 | + | 0.158523i | 0.882535 | − | 0.470247i | \(-0.155835\pi\) |
0.777592 | + | 0.628769i | \(0.216441\pi\) | |||||||
\(684\) | −10.4521 | − | 5.38843i | −0.399646 | − | 0.206032i | ||||
\(685\) | 2.10644 | − | 14.6506i | 0.0804829 | − | 0.559771i | ||||
\(686\) | 32.3483 | + | 20.3142i | 1.23506 | + | 0.775600i | ||||
\(687\) | 1.25835 | − | 1.45222i | 0.0480092 | − | 0.0554055i | ||||
\(688\) | −2.61972 | − | 10.7986i | −0.0998760 | − | 0.411694i | ||||
\(689\) | 18.7680 | − | 32.5071i | 0.715003 | − | 1.23842i | ||||
\(690\) | −27.1192 | − | 17.4492i | −1.03241 | − | 0.664281i | ||||
\(691\) | 5.62975 | + | 9.75101i | 0.214166 | + | 0.370946i | 0.953014 | − | 0.302926i | \(-0.0979634\pi\) |
−0.738848 | + | 0.673872i | \(0.764630\pi\) | |||||||
\(692\) | −20.4892 | − | 6.01616i | −0.778881 | − | 0.228700i | ||||
\(693\) | −3.08091 | + | 8.14936i | −0.117034 | + | 0.309568i | ||||
\(694\) | 45.7942 | + | 29.4302i | 1.73833 | + | 1.11715i | ||||
\(695\) | −34.1826 | + | 13.6847i | −1.29662 | + | 0.519089i | ||||
\(696\) | 0.0313480 | + | 0.658075i | 0.00118824 | + | 0.0249443i | ||||
\(697\) | −9.44133 | − | 0.901538i | −0.357616 | − | 0.0341482i | ||||
\(698\) | −8.76183 | + | 25.3157i | −0.331640 | + | 0.958212i | ||||
\(699\) | −1.24342 | − | 8.64818i | −0.0470305 | − | 0.327104i | ||||
\(700\) | −30.2576 | + | 14.5323i | −1.14363 | + | 0.549267i | ||||
\(701\) | 15.8444 | − | 4.65233i | 0.598434 | − | 0.175716i | 0.0315338 | − | 0.999503i | \(-0.489961\pi\) |
0.566900 | + | 0.823787i | \(0.308143\pi\) | |||||||
\(702\) | 9.55002 | + | 9.10593i | 0.360442 | + | 0.343681i | ||||
\(703\) | −16.8471 | − | 23.6585i | −0.635402 | − | 0.892297i | ||||
\(704\) | −30.2211 | − | 12.0987i | −1.13900 | − | 0.455987i | ||||
\(705\) | −4.17124 | + | 12.0520i | −0.157098 | + | 0.453905i | ||||
\(706\) | 1.23152 | + | 2.69666i | 0.0463490 | + | 0.101490i | ||||
\(707\) | 10.9335 | + | 25.8494i | 0.411198 | + | 0.972166i | ||||
\(708\) | −0.177181 | + | 1.23232i | −0.00665885 | + | 0.0463133i | ||||
\(709\) | 0.0821993 | − | 1.72557i | 0.00308706 | − | 0.0648053i | −0.996798 | − | 0.0799595i | \(-0.974521\pi\) |
0.999885 | + | 0.0151542i | \(0.00482392\pi\) | |||||||
\(710\) | −7.28461 | − | 21.0475i | −0.273386 | − | 0.789898i | ||||
\(711\) | 12.0019 | − | 11.4438i | 0.450108 | − | 0.429177i | ||||
\(712\) | −2.09225 | − | 3.62388i | −0.0784103 | − | 0.135811i | ||||
\(713\) | 3.57664 | + | 14.7781i | 0.133946 | + | 0.553444i | ||||
\(714\) | 6.36476 | − | 36.8469i | 0.238195 | − | 1.37896i | ||||
\(715\) | 65.9028 | + | 19.3508i | 2.46463 | + | 0.723679i | ||||
\(716\) | −22.2183 | − | 4.28222i | −0.830336 | − | 0.160034i | ||||
\(717\) | −7.23540 | + | 3.73011i | −0.270211 | + | 0.139303i | ||||
\(718\) | −34.0466 | − | 26.7745i | −1.27061 | − | 0.999216i | ||||
\(719\) | 30.4309 | + | 15.6882i | 1.13488 | + | 0.585071i | 0.920136 | − | 0.391599i | \(-0.128078\pi\) |
0.214744 | + | 0.976670i | \(0.431108\pi\) | |||||||
\(720\) | 4.64243 | + | 10.1655i | 0.173013 | + | 0.378846i | ||||
\(721\) | 0.353874 | + | 18.2838i | 0.0131790 | + | 0.680926i | ||||
\(722\) | 2.41311 | + | 16.7835i | 0.0898066 | + | 0.624619i | ||||
\(723\) | 12.0736 | − | 1.15289i | 0.449023 | − | 0.0428765i | ||||
\(724\) | −9.61253 | + | 39.6234i | −0.357247 | + | 1.47259i | ||||
\(725\) | 1.66980 | − | 6.88300i | 0.0620147 | − | 0.255628i | ||||
\(726\) | 0.321452 | − | 0.0306949i | 0.0119302 | − | 0.00113920i | ||||
\(727\) | 6.09356 | + | 42.3817i | 0.225998 | + | 1.57185i | 0.714721 | + | 0.699410i | \(0.246554\pi\) |
−0.488723 | + | 0.872439i | \(0.662537\pi\) | |||||||
\(728\) | 7.75994 | + | 4.28216i | 0.287602 | + | 0.158707i | ||||
\(729\) | 0.415415 | + | 0.909632i | 0.0153857 | + | 0.0336901i | ||||
\(730\) | −57.2968 | − | 29.5386i | −2.12065 | − | 1.09327i | ||||
\(731\) | 17.4609 | + | 13.7314i | 0.645813 | + | 0.507873i | ||||
\(732\) | −12.1261 | + | 6.25141i | −0.448192 | + | 0.231059i | ||||
\(733\) | 42.7463 | + | 8.23867i | 1.57887 | + | 0.304302i | 0.901979 | − | 0.431780i | \(-0.142114\pi\) |
0.676892 | + | 0.736083i | \(0.263327\pi\) | |||||||
\(734\) | 68.1584 | + | 20.0131i | 2.51577 | + | 0.738697i | ||||
\(735\) | 17.3796 | − | 14.7909i | 0.641055 | − | 0.545569i | ||||
\(736\) | −12.7520 | + | 36.7800i | −0.470046 | + | 1.35573i | ||||
\(737\) | 14.4400 | + | 25.0108i | 0.531903 | + | 0.921283i | ||||
\(738\) | 2.06600 | − | 1.96993i | 0.0760506 | − | 0.0725141i | ||||
\(739\) | 1.89031 | + | 5.46168i | 0.0695360 | + | 0.200911i | 0.974414 | − | 0.224759i | \(-0.0721596\pi\) |
−0.904878 | + | 0.425670i | \(0.860038\pi\) | |||||||
\(740\) | 1.94634 | − | 40.8586i | 0.0715487 | − | 1.50199i | ||||
\(741\) | 4.75048 | − | 33.0403i | 0.174513 | − | 1.21377i | ||||
\(742\) | 19.2998 | − | 25.5438i | 0.708517 | − | 0.937744i | ||||
\(743\) | 7.18958 | + | 15.7430i | 0.263760 | + | 0.577554i | 0.994457 | − | 0.105148i | \(-0.0335317\pi\) |
−0.730696 | + | 0.682703i | \(0.760804\pi\) | |||||||
\(744\) | −0.542942 | + | 1.56873i | −0.0199052 | + | 0.0575124i | ||||
\(745\) | −6.52784 | − | 2.61335i | −0.239162 | − | 0.0957459i | ||||
\(746\) | −14.9460 | − | 20.9888i | −0.547214 | − | 0.768454i | ||||
\(747\) | 0.838556 | + | 0.799562i | 0.0306812 | + | 0.0292544i | ||||
\(748\) | 48.7975 | − | 14.3282i | 1.78421 | − | 0.523893i | ||||
\(749\) | 10.5824 | − | 5.08256i | 0.386673 | − | 0.185713i | ||||
\(750\) | 0.601882 | + | 4.18618i | 0.0219776 | + | 0.152858i | ||||
\(751\) | −5.44673 | + | 15.7373i | −0.198754 | + | 0.574262i | −0.999700 | − | 0.0244738i | \(-0.992209\pi\) |
0.800946 | + | 0.598736i | \(0.204330\pi\) | |||||||
\(752\) | 13.3484 | + | 1.27461i | 0.486765 | + | 0.0464804i | ||||
\(753\) | 0.598481 | + | 12.5637i | 0.0218099 | + | 0.457845i | ||||
\(754\) | −15.4139 | + | 6.17080i | −0.561342 | + | 0.224727i | ||||
\(755\) | −56.9138 | − | 36.5763i | −2.07130 | − | 1.33115i | ||||
\(756\) | 3.77620 | + | 4.61516i | 0.137339 | + | 0.167852i | ||||
\(757\) | −11.6631 | − | 3.42459i | −0.423902 | − | 0.124469i | 0.0628220 | − | 0.998025i | \(-0.479990\pi\) |
−0.486724 | + | 0.873556i | \(0.661808\pi\) | |||||||
\(758\) | −29.4014 | − | 50.9247i | −1.06791 | − | 1.84967i | ||||
\(759\) | 2.23901 | + | 15.6328i | 0.0812708 | + | 0.567436i | ||||
\(760\) | −4.45317 | + | 7.71312i | −0.161533 | + | 0.279784i | ||||
\(761\) | −5.76723 | − | 23.7728i | −0.209062 | − | 0.861765i | −0.975598 | − | 0.219564i | \(-0.929537\pi\) |
0.766536 | − | 0.642201i | \(-0.221979\pi\) | |||||||
\(762\) | −2.31292 | + | 2.66925i | −0.0837881 | + | 0.0966967i | ||||
\(763\) | 27.2519 | − | 29.7115i | 0.986584 | − | 1.07563i | ||||
\(764\) | −3.91287 | + | 27.2146i | −0.141563 | + | 0.984590i | ||||
\(765\) | −19.8569 | − | 10.2369i | −0.717927 | − | 0.370117i | ||||
\(766\) | −5.97728 | − | 0.570761i | −0.215968 | − | 0.0206224i | ||||
\(767\) | −3.47017 | + | 0.668820i | −0.125301 | + | 0.0241497i | ||||
\(768\) | 8.80505 | − | 6.92437i | 0.317725 | − | 0.249862i | ||||
\(769\) | −15.9874 | + | 35.0074i | −0.576519 | + | 1.26240i | 0.366735 | + | 0.930326i | \(0.380476\pi\) |
−0.943253 | + | 0.332074i | \(0.892252\pi\) | |||||||
\(770\) | 53.7497 | + | 23.3004i | 1.93700 | + | 0.839689i | ||||
\(771\) | −18.6073 | + | 5.46361i | −0.670127 | + | 0.196767i | ||||
\(772\) | −19.0866 | + | 1.82255i | −0.686943 | + | 0.0655951i | ||||
\(773\) | 9.56450 | + | 3.82905i | 0.344011 | + | 0.137721i | 0.537233 | − | 0.843434i | \(-0.319470\pi\) |
−0.193222 | + | 0.981155i | \(0.561894\pi\) | |||||||
\(774\) | −6.56511 | + | 1.26532i | −0.235978 | + | 0.0454810i | ||||
\(775\) | 10.3518 | − | 14.5370i | 0.371846 | − | 0.522185i | ||||
\(776\) | 7.65156 | − | 4.91736i | 0.274675 | − | 0.176523i | ||||
\(777\) | 3.06667 | + | 14.4054i | 0.110016 | + | 0.516792i | ||||
\(778\) | −33.2248 | − | 21.3523i | −1.19117 | − | 0.765516i | ||||
\(779\) | −7.09077 | − | 1.36663i | −0.254053 | − | 0.0489648i | ||||
\(780\) | 34.0241 | − | 32.4419i | 1.21826 | − | 1.16161i | ||||
\(781\) | −5.45361 | + | 9.44593i | −0.195146 | + | 0.338002i | ||||
\(782\) | −22.1338 | − | 64.0640i | −0.791504 | − | 2.29092i | ||||
\(783\) | −1.25825 | −0.0449662 | ||||||||
\(784\) | −19.4209 | − | 14.0916i | −0.693604 | − | 0.503272i | ||||
\(785\) | 47.5467 | − | 54.8718i | 1.69701 | − | 1.95846i | ||||
\(786\) | −0.643244 | + | 13.5033i | −0.0229437 | + | 0.481648i | ||||
\(787\) | 0.497676 | + | 0.391377i | 0.0177402 | + | 0.0139511i | 0.626990 | − | 0.779028i | \(-0.284287\pi\) |
−0.609250 | + | 0.792979i | \(0.708529\pi\) | |||||||
\(788\) | −2.45218 | − | 51.4777i | −0.0873554 | − | 1.83382i | ||||
\(789\) | 10.0420 | − | 14.1020i | 0.357505 | − | 0.502046i | ||||
\(790\) | −73.0229 | − | 84.2729i | −2.59804 | − | 2.99830i | ||||
\(791\) | 3.62191 | + | 6.70376i | 0.128780 | + | 0.238358i | ||||
\(792\) | −0.716252 | + | 1.56837i | −0.0254509 | + | 0.0557297i | ||||
\(793\) | −28.0273 | − | 26.7240i | −0.995280 | − | 0.948998i | ||||
\(794\) | −2.40105 | + | 9.89725i | −0.0852100 | + | 0.351240i | ||||
\(795\) | −11.0951 | − | 15.5809i | −0.393502 | − | 0.552596i | ||||
\(796\) | 17.1148 | − | 13.4592i | 0.606616 | − | 0.477048i | ||||
\(797\) | −21.6020 | − | 24.9300i | −0.765182 | − | 0.883067i | 0.230765 | − | 0.973009i | \(-0.425877\pi\) |
−0.995947 | + | 0.0899426i | \(0.971332\pi\) | |||||||
\(798\) | 7.49094 | − | 27.4673i | 0.265177 | − | 0.972332i | ||||
\(799\) | −22.5503 | + | 14.4922i | −0.797773 | + | 0.512698i | ||||
\(800\) | 42.4176 | − | 16.9814i | 1.49969 | − | 0.600385i | ||||
\(801\) | 7.10337 | − | 3.66204i | 0.250985 | − | 0.129392i | ||||
\(802\) | −2.60489 | − | 7.52633i | −0.0919818 | − | 0.265764i | ||||
\(803\) | 7.44258 | + | 30.6787i | 0.262643 | + | 1.08263i | ||||
\(804\) | 19.7670 | 0.697129 | ||||||||
\(805\) | 14.6497 | − | 38.6866i | 0.516333 | − | 1.36352i | ||||
\(806\) | −41.8351 | −1.47358 | ||||||||
\(807\) | −1.26209 | − | 5.20240i | −0.0444276 | − | 0.183133i | ||||
\(808\) | 1.81668 | + | 5.24895i | 0.0639106 | + | 0.184658i | ||||
\(809\) | 3.01258 | − | 1.55309i | 0.105917 | − | 0.0546038i | −0.404454 | − | 0.914558i | \(-0.632538\pi\) |
0.510371 | + | 0.859954i | \(0.329508\pi\) | |||||||
\(810\) | 6.24249 | − | 2.49911i | 0.219339 | − | 0.0878099i | ||||
\(811\) | 7.99275 | − | 5.13663i | 0.280663 | − | 0.180371i | −0.392734 | − | 0.919652i | \(-0.628471\pi\) |
0.673397 | + | 0.739281i | \(0.264834\pi\) | |||||||
\(812\) | −7.25608 | + | 1.90971i | −0.254638 | + | 0.0670177i | ||||
\(813\) | 14.3602 | + | 16.5725i | 0.503632 | + | 0.581223i | ||||
\(814\) | −29.7187 | + | 23.3710i | −1.04164 | + | 0.819153i | ||||
\(815\) | −4.71890 | − | 6.62676i | −0.165296 | − | 0.232125i | ||||
\(816\) | −5.53770 | + | 22.8267i | −0.193858 | + | 0.799095i | ||||
\(817\) | 12.2406 | + | 11.6714i | 0.428244 | + | 0.408330i | ||||
\(818\) | −3.51849 | + | 7.70442i | −0.123021 | + | 0.269379i | ||||
\(819\) | −8.87421 | + | 14.4144i | −0.310090 | + | 0.503680i | ||||
\(820\) | −6.66013 | − | 7.68620i | −0.232582 | − | 0.268414i | ||||
\(821\) | −16.0164 | + | 22.4919i | −0.558978 | + | 0.784974i | −0.993273 | − | 0.115796i | \(-0.963058\pi\) |
0.434295 | + | 0.900771i | \(0.356997\pi\) | |||||||
\(822\) | 0.445540 | + | 9.35304i | 0.0155400 | + | 0.326225i | ||||
\(823\) | 29.7373 | + | 23.3857i | 1.03658 | + | 0.815173i | 0.983040 | − | 0.183392i | \(-0.0587079\pi\) |
0.0535375 | + | 0.998566i | \(0.482950\pi\) | |||||||
\(824\) | −0.172204 | + | 3.61500i | −0.00599899 | + | 0.125934i | ||||
\(825\) | 12.1384 | − | 14.0084i | 0.422604 | − | 0.487711i | ||||
\(826\) | −3.00749 | + | 0.201659i | −0.104644 | + | 0.00701660i | ||||
\(827\) | 22.8597 | 0.794908 | 0.397454 | − | 0.917622i | \(-0.369894\pi\) | ||||
0.397454 | + | 0.917622i | \(0.369894\pi\) | |||||||
\(828\) | 10.0327 | + | 4.02281i | 0.348661 | + | 0.139802i | ||||
\(829\) | −27.7353 | + | 48.0390i | −0.963287 | + | 1.66846i | −0.249139 | + | 0.968468i | \(0.580148\pi\) |
−0.714148 | + | 0.699994i | \(0.753186\pi\) | |||||||
\(830\) | 5.63858 | − | 5.37637i | 0.195718 | − | 0.186617i | ||||
\(831\) | 12.8834 | + | 2.48308i | 0.446921 | + | 0.0861370i | ||||
\(832\) | −53.2068 | − | 34.1939i | −1.84461 | − | 1.18546i | ||||
\(833\) | 47.9310 | − | 1.85605i | 1.66071 | − | 0.0643085i | ||||
\(834\) | 19.5956 | − | 12.5933i | 0.678541 | − | 0.436072i | ||||
\(835\) | −47.3095 | + | 66.4369i | −1.63721 | + | 2.29914i | ||||
\(836\) | 38.0229 | − | 7.32832i | 1.31505 | − | 0.253455i | ||||
\(837\) | −2.94330 | − | 1.17832i | −0.101735 | − | 0.0407287i | ||||
\(838\) | −66.5255 | + | 6.35241i | −2.29808 | + | 0.219440i | ||||
\(839\) | 19.3329 | − | 5.67665i | 0.667446 | − | 0.195980i | 0.0695806 | − | 0.997576i | \(-0.477834\pi\) |
0.597865 | + | 0.801597i | \(0.296016\pi\) | |||||||
\(840\) | 3.62759 | − | 2.69048i | 0.125164 | − | 0.0928305i | ||||
\(841\) | −11.3894 | + | 24.9392i | −0.392736 | + | 0.859972i | ||||
\(842\) | 5.72097 | − | 4.49902i | 0.197158 | − | 0.155046i | ||||
\(843\) | −13.5623 | + | 2.61392i | −0.467110 | + | 0.0900281i | ||||
\(844\) | 12.7920 | + | 1.22148i | 0.440317 | + | 0.0420452i | ||||
\(845\) | 80.9421 | + | 41.7285i | 2.78449 | + | 1.43551i | ||||
\(846\) | 1.14822 | − | 7.98602i | 0.0394765 | − | 0.274565i | ||||
\(847\) | 0.124372 | + | 0.395120i | 0.00427347 | + | 0.0135765i | ||||
\(848\) | −13.1698 | + | 15.1988i | −0.452254 | + | 0.521929i | ||||
\(849\) | 2.63169 | + | 10.8480i | 0.0903195 | + | 0.372302i | ||||
\(850\) | −39.7772 | + | 68.8962i | −1.36435 | + | 2.36312i | ||||
\(851\) | 17.4720 | + | 20.1859i | 0.598932 | + | 0.691963i | ||||
\(852\) | 3.73275 | + | 6.46532i | 0.127882 | + | 0.221498i | ||||
\(853\) | 3.28420 | + | 0.964329i | 0.112449 | + | 0.0330180i | 0.337473 | − | 0.941335i | \(-0.390428\pi\) |
−0.225024 | + | 0.974353i | \(0.572246\pi\) | |||||||
\(854\) | −20.9165 | − | 25.5635i | −0.715747 | − | 0.874765i | ||||
\(855\) | −14.3095 | − | 9.19619i | −0.489376 | − | 0.314503i | ||||
\(856\) | 2.15689 | − | 0.863487i | 0.0737208 | − | 0.0295134i | ||||
\(857\) | −0.705866 | − | 14.8179i | −0.0241119 | − | 0.506172i | −0.978329 | − | 0.207057i | \(-0.933612\pi\) |
0.954217 | − | 0.299115i | \(-0.0966914\pi\) | |||||||
\(858\) | −43.2552 | − | 4.13037i | −1.47671 | − | 0.141008i | ||||
\(859\) | −1.48788 | + | 4.29895i | −0.0507659 | + | 0.146678i | −0.967534 | − | 0.252742i | \(-0.918668\pi\) |
0.916768 | + | 0.399421i | \(0.130789\pi\) | |||||||
\(860\) | 3.38995 | + | 23.5777i | 0.115596 | + | 0.803991i | ||||
\(861\) | 3.02346 | + | 2.06600i | 0.103039 | + | 0.0704092i | ||||
\(862\) | −1.70185 | + | 0.499710i | −0.0579654 | + | 0.0170202i | ||||
\(863\) | −0.275930 | − | 0.263098i | −0.00939275 | − | 0.00895597i | 0.685368 | − | 0.728197i | \(-0.259641\pi\) |
−0.694761 | + | 0.719241i | \(0.744490\pi\) | |||||||
\(864\) | −4.70834 | − | 6.61194i | −0.160181 | − | 0.224943i | ||||
\(865\) | −28.6761 | − | 11.4802i | −0.975015 | − | 0.390337i | ||||
\(866\) | −11.0244 | + | 31.8529i | −0.374624 | + | 1.08241i | ||||
\(867\) | −12.4440 | − | 27.2487i | −0.422622 | − | 0.925413i | ||||
\(868\) | −18.7618 | − | 2.32794i | −0.636818 | − | 0.0790154i | ||||
\(869\) | −7.77153 | + | 54.0521i | −0.263631 | + | 1.83359i | ||||
\(870\) | −0.402575 | + | 8.45109i | −0.0136486 | + | 0.286519i | ||||
\(871\) | 18.3520 | + | 53.0247i | 0.621835 | + | 1.79667i | ||||
\(872\) | 5.77451 | − | 5.50599i | 0.195550 | − | 0.186456i | ||||
\(873\) | 8.68545 | + | 15.0436i | 0.293958 | + | 0.509150i | ||||
\(874\) | −12.1396 | − | 50.1590i | −0.410629 | − | 1.69665i | ||||
\(875\) | −5.09155 | + | 1.87330i | −0.172126 | + | 0.0633289i | ||||
\(876\) | 20.7320 | + | 6.08748i | 0.700471 | + | 0.205677i | ||||
\(877\) | 19.2689 | + | 3.71377i | 0.650663 | + | 0.125405i | 0.503894 | − | 0.863766i | \(-0.331900\pi\) |
0.146770 | + | 0.989171i | \(0.453112\pi\) | |||||||
\(878\) | −42.8099 | + | 22.0700i | −1.44476 | + | 0.744827i | ||||
\(879\) | −11.4608 | − | 9.01289i | −0.386564 | − | 0.303997i | ||||
\(880\) | −32.7090 | − | 16.8627i | −1.10262 | − | 0.568441i | ||||
\(881\) | −22.4637 | − | 49.1885i | −0.756820 | − | 1.65720i | −0.753708 | − | 0.657209i | \(-0.771737\pi\) |
−0.00311155 | − | 0.999995i | \(-0.500990\pi\) | |||||||
\(882\) | −9.02523 | + | 11.2688i | −0.303895 | + | 0.379439i | ||||
\(883\) | −3.68417 | − | 25.6240i | −0.123982 | − | 0.862315i | −0.952974 | − | 0.303053i | \(-0.901994\pi\) |
0.828991 | − | 0.559261i | \(-0.188915\pi\) | |||||||
\(884\) | 98.3637 | − | 9.39260i | 3.30833 | − | 0.315907i | ||||
\(885\) | −0.424572 | + | 1.75011i | −0.0142718 | + | 0.0588292i | ||||
\(886\) | 6.99833 | − | 28.8475i | 0.235114 | − | 0.969151i | ||||
\(887\) | −35.3531 | + | 3.37581i | −1.18704 | + | 0.113349i | −0.669833 | − | 0.742512i | \(-0.733634\pi\) |
−0.517207 | + | 0.855860i | \(0.673028\pi\) | |||||||
\(888\) | 0.414813 | + | 2.88509i | 0.0139202 | + | 0.0968172i | ||||
\(889\) | −3.96683 | − | 2.18901i | −0.133043 | − | 0.0734171i | ||||
\(890\) | −22.3235 | − | 48.8817i | −0.748286 | − | 1.63852i | ||||
\(891\) | −2.92688 | − | 1.50891i | −0.0980541 | − | 0.0505504i | ||||
\(892\) | −17.9536 | − | 14.1189i | −0.601130 | − | 0.472734i | ||||
\(893\) | −18.1408 | + | 9.35224i | −0.607059 | + | 0.312961i | ||||
\(894\) | 4.36793 | + | 0.841850i | 0.146086 | + | 0.0281557i | ||||
\(895\) | −31.4043 | − | 9.22113i | −1.04973 | − | 0.308228i | ||||
\(896\) | −8.44590 | − | 7.03694i | −0.282158 | − | 0.235088i | ||||
\(897\) | −1.47658 | + | 30.6474i | −0.0493017 | + | 1.02329i | ||||
\(898\) | 14.6111 | + | 25.3071i | 0.487577 | + | 0.844509i | ||||
\(899\) | 2.88710 | − | 2.75284i | 0.0962901 | − | 0.0918124i | ||||
\(900\) | −4.14949 | − | 11.9892i | −0.138316 | − | 0.399639i | ||||
\(901\) | 1.91294 | − | 40.1575i | 0.0637291 | − | 1.33784i | ||||
\(902\) | −1.33778 | + | 9.30448i | −0.0445433 | + | 0.309805i | ||||
\(903\) | −3.34111 | − | 7.89913i | −0.111185 | − | 0.262867i | ||||
\(904\) | 0.626422 | + | 1.37167i | 0.0208345 | + | 0.0456211i | ||||
\(905\) | −19.2897 | + | 55.7338i | −0.641210 | + | 1.85265i | ||||
\(906\) | 39.7335 | + | 15.9069i | 1.32006 | + | 0.528472i | ||||
\(907\) | −8.60806 | − | 12.0883i | −0.285826 | − | 0.401386i | 0.646553 | − | 0.762869i | \(-0.276210\pi\) |
−0.932379 | + | 0.361483i | \(0.882271\pi\) | |||||||
\(908\) | −43.8750 | − | 41.8347i | −1.45604 | − | 1.38833i | ||||
\(909\) | −10.1785 | + | 2.98867i | −0.337598 | + | 0.0991278i | ||||
\(910\) | 93.9755 | + | 64.2158i | 3.11526 | + | 2.12873i | ||||
\(911\) | 1.98894 | + | 13.8334i | 0.0658965 | + | 0.458321i | 0.995877 | + | 0.0907120i | \(0.0289143\pi\) |
−0.929981 | + | 0.367609i | \(0.880177\pi\) | |||||||
\(912\) | −5.84937 | + | 16.9006i | −0.193692 | + | 0.559636i | ||||
\(913\) | −3.79809 | − | 0.362674i | −0.125699 | − | 0.0120028i | ||||
\(914\) | −1.12942 | − | 23.7094i | −0.0373578 | − | 0.784237i | ||||
\(915\) | −18.3204 | + | 7.33438i | −0.605654 | + | 0.242467i | ||||
\(916\) | 3.64342 | + | 2.34148i | 0.120382 | + | 0.0773647i | ||||
\(917\) | −17.1142 | + | 2.79967i | −0.565160 | + | 0.0924533i | ||||
\(918\) | 13.5606 | + | 3.98174i | 0.447566 | + | 0.131417i | ||||
\(919\) | 17.6333 | + | 30.5417i | 0.581668 | + | 1.00748i | 0.995282 | + | 0.0970264i | \(0.0309331\pi\) |
−0.413614 | + | 0.910453i | \(0.635734\pi\) | |||||||
\(920\) | 3.40492 | − | 7.44505i | 0.112257 | − | 0.245456i | ||||
\(921\) | −8.77394 | + | 15.1969i | −0.289111 | + | 0.500755i | ||||
\(922\) | −7.99245 | − | 32.9453i | −0.263217 | − | 1.08500i | ||||
\(923\) | −13.8776 | + | 16.0156i | −0.456785 | + | 0.527159i | ||||
\(924\) | −19.1689 | − | 4.25931i | −0.630609 | − | 0.140121i | ||||
\(925\) | 4.45944 | − | 31.0161i | 0.146625 | − | 1.01980i | ||||
\(926\) | −49.3585 | − | 25.4461i | −1.62202 | − | 0.836211i | ||||
\(927\) | −6.88064 | − | 0.657021i | −0.225990 | − | 0.0215794i | ||||
\(928\) | 10.0287 | − | 1.93288i | 0.329208 | − | 0.0634497i | ||||
\(929\) | −8.35268 | + | 6.56862i | −0.274043 | + | 0.215509i | −0.745716 | − | 0.666264i | \(-0.767892\pi\) |
0.471674 | + | 0.881773i | \(0.343650\pi\) | |||||||
\(930\) | −8.85594 | + | 19.3918i | −0.290398 | + | 0.635882i | ||||
\(931\) | 36.4635 | + | 2.06222i | 1.19504 | + | 0.0675867i | ||||
\(932\) | 18.8946 | − | 5.54796i | 0.618914 | − | 0.181730i | ||||
\(933\) | 14.4368 | − | 1.37855i | 0.472640 | − | 0.0451316i | ||||
\(934\) | 49.9791 | + | 20.0086i | 1.63537 | + | 0.654702i | ||||
\(935\) | 72.2359 | − | 13.9223i | 2.36237 | − | 0.455309i | ||||
\(936\) | −1.94314 | + | 2.72876i | −0.0635136 | + | 0.0891923i | ||||
\(937\) | 18.4349 | − | 11.8474i | 0.602244 | − | 0.387038i | −0.203698 | − | 0.979034i | \(-0.565296\pi\) |
0.805941 | + | 0.591995i | \(0.201660\pi\) | |||||||
\(938\) | 9.96483 | + | 46.8090i | 0.325363 | + | 1.52837i | ||||
\(939\) | −27.3156 | − | 17.5546i | −0.891409 | − | 0.572874i | ||||
\(940\) | −28.2251 | − | 5.43994i | −0.920601 | − | 0.177431i | ||||
\(941\) | 20.2170 | − | 19.2769i | 0.659057 | − | 0.628410i | −0.284869 | − | 0.958566i | \(-0.591950\pi\) |
0.943926 | + | 0.330157i | \(0.107102\pi\) | |||||||
\(942\) | −22.9661 | + | 39.7785i | −0.748277 | + | 1.29605i | ||||
\(943\) | 6.60740 | + | 0.634548i | 0.215166 | + | 0.0206637i | ||||
\(944\) | 1.89345 | 0.0616267 | ||||||||
\(945\) | 4.80295 | + | 7.16480i | 0.156240 | + | 0.233071i | ||||
\(946\) | 14.4176 | − | 16.6388i | 0.468758 | − | 0.540975i | ||||
\(947\) | 0.815553 | − | 17.1206i | 0.0265019 | − | 0.556343i | −0.946101 | − | 0.323871i | \(-0.895016\pi\) |
0.972603 | − | 0.232472i | \(-0.0746814\pi\) | |||||||
\(948\) | 29.3801 | + | 23.1048i | 0.954221 | + | 0.750408i | ||||
\(949\) | 2.91842 | + | 61.2651i | 0.0947358 | + | 1.98875i | ||||
\(950\) | −35.1354 | + | 49.3407i | −1.13994 | + | 1.60082i | ||||
\(951\) | −5.40719 | − | 6.24022i | −0.175340 | − | 0.202353i | ||||
\(952\) | 9.48899 | + | 0.268115i | 0.307540 | + | 0.00868965i | ||||
\(953\) | −1.06997 | + | 2.34291i | −0.0346597 | + | 0.0758942i | −0.926170 | − | 0.377106i | \(-0.876919\pi\) |
0.891510 | + | 0.453000i | \(0.149646\pi\) | |||||||
\(954\) | 8.75760 | + | 8.35036i | 0.283538 | + | 0.270353i | ||||
\(955\) | −9.37628 | + | 38.6495i | −0.303409 | + | 1.25067i | ||||
\(956\) | −10.6424 | − | 14.9452i | −0.344200 | − | 0.483362i | ||||
\(957\) | 3.25689 | − | 2.56125i | 0.105280 | − | 0.0827933i | ||||
\(958\) | 50.1948 | + | 57.9279i | 1.62172 | + | 1.87157i | ||||
\(959\) | −11.6161 | + | 3.05720i | −0.375102 | + | 0.0987223i | ||||
\(960\) | −27.1131 | + | 17.4245i | −0.875071 | + | 0.562374i | ||||
\(961\) | −19.4479 | + | 7.78578i | −0.627353 | + | 0.251154i | ||||
\(962\) | −65.2903 | + | 33.6595i | −2.10504 | + | 1.08523i | ||||
\(963\) | 1.45126 | + | 4.19314i | 0.0467661 | + | 0.135122i | ||||
\(964\) | 6.44474 | + | 26.5656i | 0.207571 | + | 0.855620i | ||||
\(965\) | −27.7343 | −0.892798 | ||||||||
\(966\) | −4.46852 | + | 25.7858i | −0.143772 | + | 0.829643i | ||||
\(967\) | 30.1289 | 0.968879 | 0.484440 | − | 0.874825i | \(-0.339024\pi\) | ||||
0.484440 | + | 0.874825i | \(0.339024\pi\) | |||||||
\(968\) | 0.0193269 | + | 0.0796667i | 0.000621191 | + | 0.00256059i | ||||
\(969\) | −11.6933 | − | 33.7855i | −0.375642 | − | 1.08535i | ||||
\(970\) | 103.820 | − | 53.5230i | 3.33346 | − | 1.71852i | ||||
\(971\) | −3.02157 | + | 1.20965i | −0.0969667 | + | 0.0388196i | −0.419639 | − | 0.907691i | \(-0.637843\pi\) |
0.322672 | + | 0.946511i | \(0.395419\pi\) | |||||||
\(972\) | −1.89607 | + | 1.21853i | −0.0608166 | + | 0.0390845i | ||||
\(973\) | 21.0346 | + | 21.2225i | 0.674337 | + | 0.680363i | ||||
\(974\) | 8.29758 | + | 9.57592i | 0.265872 | + | 0.306832i | ||||
\(975\) | 28.3083 | − | 22.2619i | 0.906591 | − | 0.712951i | ||||
\(976\) | 12.0353 | + | 16.9012i | 0.385241 | + | 0.540995i | ||||
\(977\) | −11.5536 | + | 47.6246i | −0.369632 | + | 1.52364i | 0.418545 | + | 0.908196i | \(0.362540\pi\) |
−0.788177 | + | 0.615449i | \(0.788975\pi\) | |||||||
\(978\) | 3.72474 | + | 3.55153i | 0.119104 | + | 0.113565i | ||||
\(979\) | −10.9322 | + | 23.9382i | −0.349395 | + | 0.765069i | ||||
\(980\) | 38.5720 | + | 34.0283i | 1.23214 | + | 1.08699i | ||||
\(981\) | 9.97895 | + | 11.5163i | 0.318603 | + | 0.367688i | ||||
\(982\) | 36.6636 | − | 51.4868i | 1.16998 | − | 1.64301i | ||||
\(983\) | −2.39525 | − | 50.2826i | −0.0763968 | − | 1.60377i | −0.633782 | − | 0.773511i | \(-0.718499\pi\) |
0.557386 | − | 0.830254i | \(-0.311805\pi\) | |||||||
\(984\) | 0.569655 | + | 0.447982i | 0.0181599 | + | 0.0142811i | ||||
\(985\) | 3.54707 | − | 74.4622i | 0.113019 | − | 2.37256i | ||||
\(986\) | −11.6454 | + | 13.4395i | −0.370864 | + | 0.427999i | ||||
\(987\) | 10.3266 | − | 0.692420i | 0.328699 | − | 0.0220400i | ||||
\(988\) | 75.2342 | 2.39352 | ||||||||
\(989\) | −12.2152 | − | 9.61686i | −0.388420 | − | 0.305798i | ||||
\(990\) | −11.0711 | + | 19.1757i | −0.351863 | + | 0.609444i | ||||
\(991\) | −33.5034 | + | 31.9454i | −1.06427 | + | 1.01478i | −0.0644115 | + | 0.997923i | \(0.520517\pi\) |
−0.999858 | + | 0.0168555i | \(0.994634\pi\) | |||||||
\(992\) | 25.2693 | + | 4.87025i | 0.802300 | + | 0.154631i | ||||
\(993\) | 19.2502 | + | 12.3714i | 0.610888 | + | 0.392594i | ||||
\(994\) | −13.4284 | + | 12.0985i | −0.425922 | + | 0.383743i | ||||
\(995\) | 26.4949 | − | 17.0272i | 0.839945 | − | 0.539800i | ||||
\(996\) | −1.51479 | + | 2.12722i | −0.0479980 | + | 0.0674037i | ||||
\(997\) | −24.4209 | + | 4.70675i | −0.773418 | + | 0.149064i | −0.560666 | − | 0.828042i | \(-0.689455\pi\) |
−0.212752 | + | 0.977106i | \(0.568243\pi\) | |||||||
\(998\) | −21.8585 | − | 8.75082i | −0.691918 | − | 0.277002i | ||||
\(999\) | −5.54154 | + | 0.529153i | −0.175327 | + | 0.0167417i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 483.2.y.a.340.3 | yes | 320 | |
7.2 | even | 3 | inner | 483.2.y.a.478.3 | yes | 320 | |
23.9 | even | 11 | inner | 483.2.y.a.193.3 | ✓ | 320 | |
161.9 | even | 33 | inner | 483.2.y.a.331.3 | yes | 320 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.y.a.193.3 | ✓ | 320 | 23.9 | even | 11 | inner | |
483.2.y.a.331.3 | yes | 320 | 161.9 | even | 33 | inner | |
483.2.y.a.340.3 | yes | 320 | 1.1 | even | 1 | trivial | |
483.2.y.a.478.3 | yes | 320 | 7.2 | even | 3 | inner |