Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [44,2,Mod(7,44)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(44, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("44.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 44 = 2^{2} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 44.g (of order \(10\), 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: | \(0.351341768894\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{10})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 5 x^{15} + 13 x^{14} - 25 x^{13} + 35 x^{12} - 30 x^{11} - 2 x^{10} + 60 x^{9} - 116 x^{8} + \cdots + 256 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 7.3 | ||
Root | \(-0.544389 + 1.30524i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 44.7 |
Dual form | 44.2.g.a.19.3 |
$q$-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 \(\left(\mathbb{Z}/44\mathbb{Z}\right)^\times\).
\(n\) | \(13\) | \(23\) |
\(\chi(n)\) | \(e\left(\frac{7}{10}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.544389 | + | 1.30524i | 0.384941 | + | 0.922941i | ||||
\(3\) | −0.704424 | − | 0.228881i | −0.406700 | − | 0.132145i | 0.0985210 | − | 0.995135i | \(-0.468589\pi\) |
−0.505221 | + | 0.862990i | \(0.668589\pi\) | |||||||
\(4\) | −1.40728 | + | 1.42111i | −0.703641 | + | 0.710556i | ||||
\(5\) | 1.09089 | − | 0.792578i | 0.487861 | − | 0.354452i | −0.316500 | − | 0.948592i | \(-0.602508\pi\) |
0.804361 | + | 0.594141i | \(0.202508\pi\) | |||||||
\(6\) | −0.0847364 | − | 1.04404i | −0.0345935 | − | 0.426228i | ||||
\(7\) | −0.503194 | − | 1.54867i | −0.190189 | − | 0.585343i | 0.809810 | − | 0.586693i | \(-0.199570\pi\) |
−0.999999 | + | 0.00134995i | \(0.999570\pi\) | |||||||
\(8\) | −2.62099 | − | 1.06320i | −0.926661 | − | 0.375898i | ||||
\(9\) | −1.98322 | − | 1.44090i | −0.661075 | − | 0.480299i | ||||
\(10\) | 1.62837 | + | 0.992398i | 0.514936 | + | 0.313824i | ||||
\(11\) | 3.29726 | + | 0.357912i | 0.994160 | + | 0.107915i | ||||
\(12\) | 1.31659 | − | 0.678965i | 0.380067 | − | 0.196000i | ||||
\(13\) | −2.09089 | + | 2.87786i | −0.579909 | + | 0.798176i | −0.993685 | − | 0.112203i | \(-0.964209\pi\) |
0.413777 | + | 0.910378i | \(0.364209\pi\) | |||||||
\(14\) | 1.74745 | − | 1.49987i | 0.467025 | − | 0.400856i | ||||
\(15\) | −0.949856 | + | 0.308627i | −0.245252 | + | 0.0796871i | ||||
\(16\) | −0.0391135 | − | 3.99981i | −0.00977837 | − | 0.999952i | ||||
\(17\) | −0.0411247 | − | 0.0566033i | −0.00997420 | − | 0.0137283i | 0.804001 | − | 0.594628i | \(-0.202701\pi\) |
−0.813975 | + | 0.580900i | \(0.802701\pi\) | |||||||
\(18\) | 0.801066 | − | 3.37298i | 0.188813 | − | 0.795020i | ||||
\(19\) | −2.45716 | + | 7.56236i | −0.563711 | + | 1.73493i | 0.108038 | + | 0.994147i | \(0.465543\pi\) |
−0.671749 | + | 0.740778i | \(0.734457\pi\) | |||||||
\(20\) | −0.408849 | + | 2.66566i | −0.0914213 | + | 0.596059i | ||||
\(21\) | 1.20609i | 0.263191i | ||||||||
\(22\) | 1.32783 | + | 4.49854i | 0.283094 | + | 0.959092i | ||||
\(23\) | − | 5.30988i | − | 1.10719i | −0.832787 | − | 0.553593i | \(-0.813256\pi\) | ||
0.832787 | − | 0.553593i | \(-0.186744\pi\) | |||||||
\(24\) | 1.60295 | + | 1.34884i | 0.327200 | + | 0.275331i | ||||
\(25\) | −0.983224 | + | 3.02605i | −0.196645 | + | 0.605210i | ||||
\(26\) | −4.89455 | − | 1.16243i | −0.959900 | − | 0.227971i | ||||
\(27\) | 2.37331 | + | 3.26658i | 0.456744 | + | 0.628654i | ||||
\(28\) | 2.90897 | + | 1.46432i | 0.549744 | + | 0.276731i | ||||
\(29\) | 3.74364 | − | 1.21638i | 0.695177 | − | 0.225877i | 0.0599489 | − | 0.998201i | \(-0.480906\pi\) |
0.635228 | + | 0.772325i | \(0.280906\pi\) | |||||||
\(30\) | −0.919921 | − | 1.07177i | −0.167954 | − | 0.195678i | ||||
\(31\) | 2.17121 | − | 2.98842i | 0.389961 | − | 0.536735i | −0.568228 | − | 0.822871i | \(-0.692371\pi\) |
0.958189 | + | 0.286136i | \(0.0923708\pi\) | |||||||
\(32\) | 5.19940 | − | 2.22850i | 0.919133 | − | 0.393947i | ||||
\(33\) | −2.24075 | − | 1.00680i | −0.390064 | − | 0.175262i | ||||
\(34\) | 0.0514928 | − | 0.0844916i | 0.00883095 | − | 0.0144902i | ||||
\(35\) | −1.77637 | − | 1.29061i | −0.300262 | − | 0.218153i | ||||
\(36\) | 4.83863 | − | 0.790633i | 0.806438 | − | 0.131772i | ||||
\(37\) | −2.12561 | − | 6.54194i | −0.349448 | − | 1.07549i | −0.959159 | − | 0.282866i | \(-0.908715\pi\) |
0.609712 | − | 0.792623i | \(-0.291285\pi\) | |||||||
\(38\) | −11.2083 | + | 0.909689i | −1.81823 | + | 0.147571i | ||||
\(39\) | 2.13156 | − | 1.54867i | 0.341323 | − | 0.247986i | ||||
\(40\) | −3.70188 | + | 0.917509i | −0.585319 | + | 0.145071i | ||||
\(41\) | 5.50305 | + | 1.78805i | 0.859432 | + | 0.279246i | 0.705391 | − | 0.708818i | \(-0.250771\pi\) |
0.154041 | + | 0.988065i | \(0.450771\pi\) | |||||||
\(42\) | −1.57424 | + | 0.656583i | −0.242910 | + | 0.101313i | ||||
\(43\) | −1.89516 | −0.289009 | −0.144505 | − | 0.989504i | \(-0.546159\pi\) | ||||
−0.144505 | + | 0.989504i | \(0.546159\pi\) | |||||||
\(44\) | −5.14880 | + | 4.18208i | −0.776211 | + | 0.630473i | ||||
\(45\) | −3.30550 | −0.492755 | ||||||||
\(46\) | 6.93064 | − | 2.89064i | 1.02187 | − | 0.426201i | ||||
\(47\) | −9.32545 | − | 3.03002i | −1.36026 | − | 0.441974i | −0.464128 | − | 0.885768i | \(-0.653632\pi\) |
−0.896129 | + | 0.443794i | \(0.853632\pi\) | |||||||
\(48\) | −0.887929 | + | 2.82652i | −0.128162 | + | 0.407972i | ||||
\(49\) | 3.51794 | − | 2.55593i | 0.502563 | − | 0.365133i | ||||
\(50\) | −4.48497 | + | 0.364009i | −0.634270 | + | 0.0514786i | ||||
\(51\) | 0.0160138 | + | 0.0492854i | 0.00224238 | + | 0.00690134i | ||||
\(52\) | −1.14729 | − | 7.02135i | −0.159101 | − | 0.973686i | ||||
\(53\) | 3.14518 | + | 2.28511i | 0.432023 | + | 0.313883i | 0.782457 | − | 0.622704i | \(-0.213966\pi\) |
−0.350434 | + | 0.936587i | \(0.613966\pi\) | |||||||
\(54\) | −2.97166 | + | 4.87602i | −0.404391 | + | 0.663543i | ||||
\(55\) | 3.88062 | − | 2.22289i | 0.523262 | − | 0.299734i | ||||
\(56\) | −0.327678 | + | 4.59405i | −0.0437878 | + | 0.613906i | ||||
\(57\) | 3.46177 | − | 4.76471i | 0.458522 | − | 0.631102i | ||||
\(58\) | 3.62566 | + | 4.22415i | 0.476073 | + | 0.554658i | ||||
\(59\) | 4.62366 | − | 1.50232i | 0.601950 | − | 0.195585i | 0.00783982 | − | 0.999969i | \(-0.497504\pi\) |
0.594110 | + | 0.804384i | \(0.297504\pi\) | |||||||
\(60\) | 0.898122 | − | 1.78418i | 0.115947 | − | 0.230336i | ||||
\(61\) | 0.791173 | + | 1.08896i | 0.101299 | + | 0.139427i | 0.856657 | − | 0.515886i | \(-0.172537\pi\) |
−0.755358 | + | 0.655312i | \(0.772537\pi\) | |||||||
\(62\) | 5.08257 | + | 1.20708i | 0.645487 | + | 0.153300i | ||||
\(63\) | −1.23353 | + | 3.79641i | −0.155410 | + | 0.478303i | ||||
\(64\) | 5.73922 | + | 5.57328i | 0.717402 | + | 0.696659i | ||||
\(65\) | 4.79662i | 0.594948i | ||||||||
\(66\) | 0.0942773 | − | 3.47280i | 0.0116047 | − | 0.427472i | ||||
\(67\) | 4.91303i | 0.600223i | 0.953904 | + | 0.300111i | \(0.0970238\pi\) | ||||
−0.953904 | + | 0.300111i | \(0.902976\pi\) | |||||||
\(68\) | 0.138314 | + | 0.0212140i | 0.0167730 | + | 0.00257258i | ||||
\(69\) | −1.21533 | + | 3.74041i | −0.146309 | + | 0.450292i | ||||
\(70\) | 0.717514 | − | 3.02118i | 0.0857593 | − | 0.361100i | ||||
\(71\) | 4.10014 | + | 5.64335i | 0.486597 | + | 0.669743i | 0.979756 | − | 0.200196i | \(-0.0641580\pi\) |
−0.493159 | + | 0.869939i | \(0.664158\pi\) | |||||||
\(72\) | 3.66606 | + | 5.88514i | 0.432049 | + | 0.693571i | ||||
\(73\) | −9.62677 | + | 3.12793i | −1.12673 | + | 0.366096i | −0.812332 | − | 0.583195i | \(-0.801802\pi\) |
−0.314397 | + | 0.949292i | \(0.601802\pi\) | |||||||
\(74\) | 7.38163 | − | 6.33578i | 0.858097 | − | 0.736519i | ||||
\(75\) | 1.38521 | − | 1.90658i | 0.159951 | − | 0.220153i | ||||
\(76\) | −7.28904 | − | 14.1343i | −0.836110 | − | 1.62131i | ||||
\(77\) | −1.10487 | − | 5.28646i | −0.125912 | − | 0.602449i | ||||
\(78\) | 3.18178 | + | 1.93911i | 0.360266 | + | 0.219561i | ||||
\(79\) | −4.85779 | − | 3.52939i | −0.546544 | − | 0.397088i | 0.279966 | − | 0.960010i | \(-0.409677\pi\) |
−0.826510 | + | 0.562923i | \(0.809677\pi\) | |||||||
\(80\) | −3.21283 | − | 4.33235i | −0.359205 | − | 0.484371i | ||||
\(81\) | 1.34841 | + | 4.14999i | 0.149824 | + | 0.461110i | ||||
\(82\) | 0.661971 | + | 8.15617i | 0.0731025 | + | 0.900699i | ||||
\(83\) | −2.92211 | + | 2.12304i | −0.320744 | + | 0.233034i | −0.736493 | − | 0.676446i | \(-0.763519\pi\) |
0.415749 | + | 0.909479i | \(0.363519\pi\) | |||||||
\(84\) | −1.71399 | − | 1.69731i | −0.187012 | − | 0.185192i | ||||
\(85\) | −0.0897250 | − | 0.0291534i | −0.00973205 | − | 0.00316213i | ||||
\(86\) | −1.03170 | − | 2.47363i | −0.111251 | − | 0.266738i | ||||
\(87\) | −2.91552 | −0.312576 | ||||||||
\(88\) | −8.26156 | − | 4.44372i | −0.880685 | − | 0.473703i | ||||
\(89\) | −5.39711 | −0.572093 | −0.286046 | − | 0.958216i | \(-0.592341\pi\) | ||||
−0.286046 | + | 0.958216i | \(0.592341\pi\) | |||||||
\(90\) | −1.79948 | − | 4.31446i | −0.189682 | − | 0.454784i | ||||
\(91\) | 5.50899 | + | 1.78998i | 0.577499 | + | 0.187641i | ||||
\(92\) | 7.54592 | + | 7.47249i | 0.786717 | + | 0.779061i | ||||
\(93\) | −2.21345 | + | 1.60816i | −0.229524 | + | 0.166759i | ||||
\(94\) | −1.12177 | − | 13.8214i | −0.115702 | − | 1.42557i | ||||
\(95\) | 3.31327 | + | 10.1972i | 0.339934 | + | 1.04621i | ||||
\(96\) | −4.17265 | + | 0.379765i | −0.425869 | + | 0.0387596i | ||||
\(97\) | −5.92705 | − | 4.30625i | −0.601801 | − | 0.437234i | 0.244717 | − | 0.969595i | \(-0.421305\pi\) |
−0.846518 | + | 0.532361i | \(0.821305\pi\) | |||||||
\(98\) | 5.25122 | + | 3.20032i | 0.530454 | + | 0.323281i | ||||
\(99\) | −6.02348 | − | 5.46083i | −0.605383 | − | 0.548834i | ||||
\(100\) | −2.91668 | − | 5.65578i | −0.291668 | − | 0.565578i | ||||
\(101\) | −5.62667 | + | 7.74445i | −0.559875 | + | 0.770602i | −0.991311 | − | 0.131542i | \(-0.958007\pi\) |
0.431436 | + | 0.902144i | \(0.358007\pi\) | |||||||
\(102\) | −0.0556114 | + | 0.0477322i | −0.00550635 | + | 0.00472619i | ||||
\(103\) | 9.81631 | − | 3.18951i | 0.967230 | − | 0.314272i | 0.217533 | − | 0.976053i | \(-0.430199\pi\) |
0.749697 | + | 0.661781i | \(0.230199\pi\) | |||||||
\(104\) | 8.53995 | − | 5.31983i | 0.837411 | − | 0.521652i | ||||
\(105\) | 0.955923 | + | 1.31571i | 0.0932885 | + | 0.128401i | ||||
\(106\) | −1.27040 | + | 5.34919i | −0.123392 | + | 0.519559i | ||||
\(107\) | 3.42303 | − | 10.5350i | 0.330917 | − | 1.01846i | −0.637782 | − | 0.770217i | \(-0.720148\pi\) |
0.968699 | − | 0.248240i | \(-0.0798522\pi\) | |||||||
\(108\) | −7.98210 | − | 1.22426i | −0.768078 | − | 0.117805i | ||||
\(109\) | − | 8.95933i | − | 0.858149i | −0.903269 | − | 0.429074i | \(-0.858840\pi\) | ||
0.903269 | − | 0.429074i | \(-0.141160\pi\) | |||||||
\(110\) | 5.01396 | + | 3.85501i | 0.478062 | + | 0.367560i | ||||
\(111\) | 5.09482i | 0.483579i | ||||||||
\(112\) | −6.17471 | + | 2.07325i | −0.583455 | + | 0.195904i | ||||
\(113\) | 3.40631 | − | 10.4836i | 0.320439 | − | 0.986210i | −0.653018 | − | 0.757342i | \(-0.726498\pi\) |
0.973457 | − | 0.228868i | \(-0.0735025\pi\) | |||||||
\(114\) | 8.10362 | + | 1.92457i | 0.758974 | + | 0.180252i | ||||
\(115\) | −4.20849 | − | 5.79249i | −0.392444 | − | 0.540153i | ||||
\(116\) | −3.53974 | + | 7.03192i | −0.328657 | + | 0.652898i | ||||
\(117\) | 8.29341 | − | 2.69469i | 0.766726 | − | 0.249124i | ||||
\(118\) | 4.47795 | + | 5.21713i | 0.412229 | + | 0.480275i | ||||
\(119\) | −0.0669662 | + | 0.0921710i | −0.00613878 | + | 0.00844931i | ||||
\(120\) | 2.81770 | + | 0.200977i | 0.257219 | + | 0.0183466i | ||||
\(121\) | 10.7438 | + | 2.36026i | 0.976709 | + | 0.214569i | ||||
\(122\) | −0.990640 | + | 1.62548i | −0.0896883 | + | 0.147164i | ||||
\(123\) | −3.46723 | − | 2.51909i | −0.312630 | − | 0.227139i | ||||
\(124\) | 1.19136 | + | 7.29108i | 0.106988 | + | 0.654758i | ||||
\(125\) | 3.40921 | + | 10.4925i | 0.304929 | + | 0.938474i | ||||
\(126\) | −5.62673 | + | 0.456677i | −0.501269 | + | 0.0406840i | ||||
\(127\) | −8.32668 | + | 6.04969i | −0.738874 | + | 0.536823i | −0.892358 | − | 0.451328i | \(-0.850950\pi\) |
0.153485 | + | 0.988151i | \(0.450950\pi\) | |||||||
\(128\) | −4.15008 | + | 10.5251i | −0.366818 | + | 0.930293i | ||||
\(129\) | 1.33500 | + | 0.433767i | 0.117540 | + | 0.0381910i | ||||
\(130\) | −6.26073 | + | 2.61123i | −0.549102 | + | 0.229020i | ||||
\(131\) | −1.86768 | −0.163180 | −0.0815901 | − | 0.996666i | \(-0.526000\pi\) | ||||
−0.0815901 | + | 0.996666i | \(0.526000\pi\) | |||||||
\(132\) | 4.58414 | − | 1.76750i | 0.398998 | − | 0.153841i | ||||
\(133\) | 12.9480 | 1.12274 | ||||||||
\(134\) | −6.41267 | + | 2.67460i | −0.553970 | + | 0.231050i | ||||
\(135\) | 5.17804 | + | 1.68245i | 0.445655 | + | 0.144802i | ||||
\(136\) | 0.0476070 | + | 0.192081i | 0.00408227 | + | 0.0164708i | ||||
\(137\) | 1.01489 | − | 0.737362i | 0.0867080 | − | 0.0629971i | −0.543587 | − | 0.839353i | \(-0.682934\pi\) |
0.630295 | + | 0.776356i | \(0.282934\pi\) | |||||||
\(138\) | −5.54373 | + | 0.449940i | −0.471913 | + | 0.0383014i | ||||
\(139\) | −1.94407 | − | 5.98323i | −0.164894 | − | 0.507491i | 0.834135 | − | 0.551561i | \(-0.185968\pi\) |
−0.999028 | + | 0.0440698i | \(0.985968\pi\) | |||||||
\(140\) | 4.33396 | − | 0.708169i | 0.366286 | − | 0.0598512i | ||||
\(141\) | 5.87556 | + | 4.26884i | 0.494811 | + | 0.359501i | ||||
\(142\) | −5.13384 | + | 8.42382i | −0.430822 | + | 0.706912i | ||||
\(143\) | −7.92422 | + | 8.74070i | −0.662657 | + | 0.730934i | ||||
\(144\) | −5.68574 | + | 7.98888i | −0.473812 | + | 0.665740i | ||||
\(145\) | 3.11982 | − | 4.29407i | 0.259087 | − | 0.356603i | ||||
\(146\) | −9.32339 | − | 10.8624i | −0.771609 | − | 0.898979i | ||||
\(147\) | −3.06313 | + | 0.995271i | −0.252643 | + | 0.0820886i | ||||
\(148\) | 12.2882 | + | 6.18564i | 1.01008 | + | 0.508456i | ||||
\(149\) | −10.0839 | − | 13.8792i | −0.826102 | − | 1.13703i | −0.988636 | − | 0.150329i | \(-0.951967\pi\) |
0.162534 | − | 0.986703i | \(-0.448033\pi\) | |||||||
\(150\) | 3.24264 | + | 0.770109i | 0.264760 | + | 0.0628791i | ||||
\(151\) | 3.75712 | − | 11.5632i | 0.305750 | − | 0.941002i | −0.673646 | − | 0.739054i | \(-0.735273\pi\) |
0.979396 | − | 0.201948i | \(-0.0647271\pi\) | |||||||
\(152\) | 14.4805 | − | 17.2085i | 1.17452 | − | 1.39579i | ||||
\(153\) | 0.171513i | 0.0138660i | ||||||||
\(154\) | 6.29861 | − | 4.32001i | 0.507556 | − | 0.348116i | ||||
\(155\) | − | 4.98089i | − | 0.400074i | ||||||
\(156\) | −0.798877 | + | 5.20860i | −0.0639613 | + | 0.417022i | ||||
\(157\) | −1.63833 | + | 5.04225i | −0.130753 | + | 0.402415i | −0.994905 | − | 0.100815i | \(-0.967855\pi\) |
0.864153 | + | 0.503230i | \(0.167855\pi\) | |||||||
\(158\) | 1.96216 | − | 8.26192i | 0.156101 | − | 0.657283i | ||||
\(159\) | −1.69252 | − | 2.32956i | −0.134226 | − | 0.184746i | ||||
\(160\) | 3.90571 | − | 6.55198i | 0.308774 | − | 0.517980i | ||||
\(161\) | −8.22325 | + | 2.67190i | −0.648083 | + | 0.210575i | ||||
\(162\) | −4.68266 | + | 4.01921i | −0.367904 | + | 0.315779i | ||||
\(163\) | −5.91168 | + | 8.13673i | −0.463039 | + | 0.637318i | −0.975135 | − | 0.221610i | \(-0.928869\pi\) |
0.512097 | + | 0.858928i | \(0.328869\pi\) | |||||||
\(164\) | −10.2854 | + | 5.30415i | −0.803152 | + | 0.414185i | ||||
\(165\) | −3.24238 | + | 0.677657i | −0.252419 | + | 0.0527555i | ||||
\(166\) | −4.36183 | − | 2.65829i | −0.338544 | − | 0.206323i | ||||
\(167\) | 17.7237 | + | 12.8770i | 1.37150 | + | 0.996451i | 0.997618 | + | 0.0689735i | \(0.0219724\pi\) |
0.373879 | + | 0.927478i | \(0.378028\pi\) | |||||||
\(168\) | 1.28232 | − | 3.16116i | 0.0989329 | − | 0.243889i | ||||
\(169\) | 0.106946 | + | 0.329146i | 0.00822661 | + | 0.0253189i | ||||
\(170\) | −0.0107932 | − | 0.132983i | −0.000827798 | − | 0.0101993i | ||||
\(171\) | 15.7697 | − | 11.4573i | 1.20594 | − | 0.876165i | ||||
\(172\) | 2.66702 | − | 2.69323i | 0.203359 | − | 0.205357i | ||||
\(173\) | −11.2531 | − | 3.65635i | −0.855557 | − | 0.277987i | −0.151785 | − | 0.988413i | \(-0.548502\pi\) |
−0.703772 | + | 0.710426i | \(0.748502\pi\) | |||||||
\(174\) | −1.58718 | − | 3.80544i | −0.120323 | − | 0.288490i | ||||
\(175\) | 5.18111 | 0.391655 | ||||||||
\(176\) | 1.30261 | − | 13.2024i | 0.0981882 | − | 0.995168i | ||||
\(177\) | −3.60087 | −0.270658 | ||||||||
\(178\) | −2.93813 | − | 7.04450i | −0.220222 | − | 0.528008i | ||||
\(179\) | −0.887979 | − | 0.288522i | −0.0663707 | − | 0.0215651i | 0.275643 | − | 0.961260i | \(-0.411109\pi\) |
−0.342014 | + | 0.939695i | \(0.611109\pi\) | |||||||
\(180\) | 4.65177 | − | 4.69749i | 0.346723 | − | 0.350130i | ||||
\(181\) | −15.2414 | + | 11.0736i | −1.13289 | + | 0.823091i | −0.986113 | − | 0.166079i | \(-0.946889\pi\) |
−0.146775 | + | 0.989170i | \(0.546889\pi\) | |||||||
\(182\) | 0.662685 | + | 8.16497i | 0.0491215 | + | 0.605228i | ||||
\(183\) | −0.308080 | − | 0.948172i | −0.0227739 | − | 0.0700909i | ||||
\(184\) | −5.64545 | + | 13.9172i | −0.416188 | + | 1.02599i | ||||
\(185\) | −7.50380 | − | 5.45183i | −0.551691 | − | 0.400827i | ||||
\(186\) | −3.30401 | − | 2.01361i | −0.242262 | − | 0.147645i | ||||
\(187\) | −0.115340 | − | 0.201355i | −0.00843447 | − | 0.0147245i | ||||
\(188\) | 17.4295 | − | 8.98840i | 1.27118 | − | 0.655547i | ||||
\(189\) | 3.86463 | − | 5.31920i | 0.281110 | − | 0.386915i | ||||
\(190\) | −11.5060 | + | 9.87584i | −0.834736 | + | 0.716468i | ||||
\(191\) | −19.4435 | + | 6.31757i | −1.40688 | + | 0.457124i | −0.911410 | − | 0.411500i | \(-0.865005\pi\) |
−0.495472 | + | 0.868624i | \(0.665005\pi\) | |||||||
\(192\) | −2.76722 | − | 5.23955i | −0.199707 | − | 0.378132i | ||||
\(193\) | 10.1927 | + | 14.0291i | 0.733690 | + | 1.00984i | 0.998957 | + | 0.0456628i | \(0.0145400\pi\) |
−0.265267 | + | 0.964175i | \(0.585460\pi\) | |||||||
\(194\) | 2.39406 | − | 10.0805i | 0.171883 | − | 0.723736i | ||||
\(195\) | 1.09786 | − | 3.37886i | 0.0786192 | − | 0.241965i | ||||
\(196\) | −1.31847 | + | 8.59630i | −0.0941764 | + | 0.614022i | ||||
\(197\) | − | 3.49133i | − | 0.248747i | −0.992235 | − | 0.124374i | \(-0.960308\pi\) | ||
0.992235 | − | 0.124374i | \(-0.0396921\pi\) | |||||||
\(198\) | 3.84855 | − | 10.8349i | 0.273505 | − | 0.770001i | ||||
\(199\) | 11.2660i | 0.798625i | 0.916815 | + | 0.399313i | \(0.130751\pi\) | ||||
−0.916815 | + | 0.399313i | \(0.869249\pi\) | |||||||
\(200\) | 5.79432 | − | 6.88590i | 0.409720 | − | 0.486907i | ||||
\(201\) | 1.12450 | − | 3.46086i | 0.0793162 | − | 0.244110i | ||||
\(202\) | −13.1714 | − | 3.12815i | −0.926739 | − | 0.220096i | ||||
\(203\) | −3.76755 | − | 5.18559i | −0.264430 | − | 0.363957i | ||||
\(204\) | −0.0925760 | − | 0.0466011i | −0.00648161 | − | 0.00326273i | ||||
\(205\) | 7.42039 | − | 2.41103i | 0.518262 | − | 0.168394i | ||||
\(206\) | 9.50696 | + | 11.0763i | 0.662381 | + | 0.771720i | ||||
\(207\) | −7.65098 | + | 10.5307i | −0.531780 | + | 0.731932i | ||||
\(208\) | 11.5927 | + | 8.25060i | 0.803808 | + | 0.572076i | ||||
\(209\) | −10.8086 | + | 24.0556i | −0.747643 | + | 1.66396i | ||||
\(210\) | −1.19693 | + | 1.96397i | −0.0825957 | + | 0.135526i | ||||
\(211\) | 2.21909 | + | 1.61227i | 0.152769 | + | 0.110993i | 0.661544 | − | 0.749906i | \(-0.269902\pi\) |
−0.508775 | + | 0.860899i | \(0.669902\pi\) | |||||||
\(212\) | −7.67354 | + | 1.25386i | −0.527021 | + | 0.0861154i | ||||
\(213\) | −1.59658 | − | 4.91376i | −0.109396 | − | 0.336685i | ||||
\(214\) | 15.6141 | − | 1.26727i | 1.06736 | − | 0.0866290i | ||||
\(215\) | −2.06741 | + | 1.50206i | −0.140996 | + | 0.102440i | ||||
\(216\) | −2.74741 | − | 11.0850i | −0.186937 | − | 0.754238i | ||||
\(217\) | −5.72061 | − | 1.85874i | −0.388341 | − | 0.126180i | ||||
\(218\) | 11.6940 | − | 4.87736i | 0.792021 | − | 0.330336i | ||||
\(219\) | 7.49726 | 0.506618 | ||||||||
\(220\) | −2.30215 | + | 8.64302i | −0.155211 | + | 0.582712i | ||||
\(221\) | 0.248884 | 0.0167417 | ||||||||
\(222\) | −6.64994 | + | 2.77356i | −0.446315 | + | 0.186149i | ||||
\(223\) | 22.5646 | + | 7.33167i | 1.51103 | + | 0.490965i | 0.943213 | − | 0.332187i | \(-0.107787\pi\) |
0.567821 | + | 0.823152i | \(0.307787\pi\) | |||||||
\(224\) | −6.06752 | − | 6.93079i | −0.405403 | − | 0.463083i | ||||
\(225\) | 6.31018 | − | 4.58462i | 0.420679 | − | 0.305641i | ||||
\(226\) | 15.5379 | − | 1.26108i | 1.03356 | − | 0.0838861i | ||||
\(227\) | −0.247473 | − | 0.761643i | −0.0164254 | − | 0.0505520i | 0.942508 | − | 0.334184i | \(-0.108461\pi\) |
−0.958933 | + | 0.283632i | \(0.908461\pi\) | |||||||
\(228\) | 1.89950 | + | 11.6249i | 0.125798 | + | 0.769875i | ||||
\(229\) | 19.0839 | + | 13.8652i | 1.26110 | + | 0.916241i | 0.998811 | − | 0.0487497i | \(-0.0155237\pi\) |
0.262286 | + | 0.964990i | \(0.415524\pi\) | |||||||
\(230\) | 5.26951 | − | 8.64644i | 0.347461 | − | 0.570129i | ||||
\(231\) | −0.431676 | + | 3.97680i | −0.0284022 | + | 0.261654i | ||||
\(232\) | −11.1053 | − | 0.792103i | −0.729100 | − | 0.0520041i | ||||
\(233\) | 10.2812 | − | 14.1509i | 0.673547 | − | 0.927058i | −0.326287 | − | 0.945271i | \(-0.605798\pi\) |
0.999834 | + | 0.0182127i | \(0.00579761\pi\) | |||||||
\(234\) | 8.03204 | + | 9.35789i | 0.525071 | + | 0.611745i | ||||
\(235\) | −12.5746 | + | 4.08572i | −0.820274 | + | 0.266523i | ||||
\(236\) | −4.37184 | + | 8.68492i | −0.284582 | + | 0.565340i | ||||
\(237\) | 2.61413 | + | 3.59805i | 0.169806 | + | 0.233718i | ||||
\(238\) | −0.156761 | − | 0.0372298i | −0.0101613 | − | 0.00241325i | ||||
\(239\) | 2.06577 | − | 6.35778i | 0.133623 | − | 0.411251i | −0.861750 | − | 0.507333i | \(-0.830631\pi\) |
0.995373 | + | 0.0960826i | \(0.0306313\pi\) | |||||||
\(240\) | 1.27160 | + | 3.78717i | 0.0820815 | + | 0.244461i | ||||
\(241\) | 4.28655i | 0.276121i | 0.990424 | + | 0.138061i | \(0.0440868\pi\) | ||||
−0.990424 | + | 0.138061i | \(0.955913\pi\) | |||||||
\(242\) | 2.76811 | + | 15.3081i | 0.177941 | + | 0.984041i | ||||
\(243\) | − | 15.3451i | − | 0.984391i | ||||||
\(244\) | −2.66093 | − | 0.408124i | −0.170349 | − | 0.0261275i | ||||
\(245\) | 1.81191 | − | 5.57648i | 0.115759 | − | 0.356268i | ||||
\(246\) | 1.40049 | − | 5.89692i | 0.0892918 | − | 0.375974i | ||||
\(247\) | −16.6258 | − | 22.8834i | −1.05787 | − | 1.45604i | ||||
\(248\) | −8.86801 | + | 5.52419i | −0.563119 | + | 0.350786i | ||||
\(249\) | 2.54433 | − | 0.826703i | 0.161240 | − | 0.0523902i | ||||
\(250\) | −11.8392 | + | 10.1618i | −0.748777 | + | 0.642688i | ||||
\(251\) | 2.87878 | − | 3.96230i | 0.181707 | − | 0.250098i | −0.708441 | − | 0.705770i | \(-0.750601\pi\) |
0.890148 | + | 0.455672i | \(0.150601\pi\) | |||||||
\(252\) | −3.65920 | − | 7.09560i | −0.230508 | − | 0.446981i | ||||
\(253\) | 1.90047 | − | 17.5080i | 0.119482 | − | 1.10072i | ||||
\(254\) | −12.4292 | − | 7.57491i | −0.779879 | − | 0.475292i | ||||
\(255\) | 0.0565318 | + | 0.0410728i | 0.00354016 | + | 0.00257208i | ||||
\(256\) | −15.9969 | + | 0.312893i | −0.999809 | + | 0.0195558i | ||||
\(257\) | −3.82696 | − | 11.7782i | −0.238719 | − | 0.734702i | −0.996606 | − | 0.0823161i | \(-0.973768\pi\) |
0.757887 | − | 0.652386i | \(-0.226232\pi\) | |||||||
\(258\) | 0.160589 | + | 1.97862i | 0.00999783 | + | 0.123184i | ||||
\(259\) | −9.06173 | + | 6.58373i | −0.563068 | + | 0.409093i | ||||
\(260\) | −6.81654 | − | 6.75020i | −0.422744 | − | 0.418630i | ||||
\(261\) | −9.17716 | − | 2.98184i | −0.568052 | − | 0.184571i | ||||
\(262\) | −1.01675 | − | 2.43777i | −0.0628148 | − | 0.150606i | ||||
\(263\) | 16.9489 | 1.04511 | 0.522556 | − | 0.852605i | \(-0.324979\pi\) | ||||
0.522556 | + | 0.852605i | \(0.324979\pi\) | |||||||
\(264\) | 4.80256 | + | 5.02118i | 0.295577 | + | 0.309033i | ||||
\(265\) | 5.24217 | 0.322024 | ||||||||
\(266\) | 7.04877 | + | 16.9003i | 0.432188 | + | 1.03622i | ||||
\(267\) | 3.80186 | + | 1.23530i | 0.232670 | + | 0.0755990i | ||||
\(268\) | −6.98197 | − | 6.91403i | −0.426492 | − | 0.422341i | ||||
\(269\) | −3.19947 | + | 2.32455i | −0.195075 | + | 0.141730i | −0.681035 | − | 0.732251i | \(-0.738470\pi\) |
0.485960 | + | 0.873981i | \(0.338470\pi\) | |||||||
\(270\) | 0.622875 | + | 7.67447i | 0.0379070 | + | 0.467054i | ||||
\(271\) | −7.33528 | − | 22.5757i | −0.445587 | − | 1.37137i | −0.881839 | − | 0.471550i | \(-0.843695\pi\) |
0.436252 | − | 0.899824i | \(-0.356305\pi\) | |||||||
\(272\) | −0.224794 | + | 0.166705i | −0.0136301 | + | 0.0101080i | ||||
\(273\) | −3.47097 | − | 2.52181i | −0.210073 | − | 0.152627i | ||||
\(274\) | 1.51493 | + | 0.923261i | 0.0915200 | + | 0.0557763i | ||||
\(275\) | −4.32500 | + | 9.62576i | −0.260807 | + | 0.580455i | ||||
\(276\) | −3.60522 | − | 6.99093i | −0.217009 | − | 0.420804i | ||||
\(277\) | −8.82329 | + | 12.1442i | −0.530140 | + | 0.729675i | −0.987152 | − | 0.159786i | \(-0.948920\pi\) |
0.457012 | + | 0.889461i | \(0.348920\pi\) | |||||||
\(278\) | 6.75120 | − | 5.79467i | 0.404910 | − | 0.347541i | ||||
\(279\) | −8.61200 | + | 2.79821i | −0.515587 | + | 0.167524i | ||||
\(280\) | 3.28368 | + | 5.27131i | 0.196238 | + | 0.315021i | ||||
\(281\) | 3.37468 | + | 4.64485i | 0.201317 | + | 0.277089i | 0.897724 | − | 0.440558i | \(-0.145219\pi\) |
−0.696408 | + | 0.717647i | \(0.745219\pi\) | |||||||
\(282\) | −2.37326 | + | 9.99290i | −0.141326 | + | 0.595068i | ||||
\(283\) | −3.45938 | + | 10.6469i | −0.205639 | + | 0.632890i | 0.794048 | + | 0.607855i | \(0.207970\pi\) |
−0.999687 | + | 0.0250353i | \(0.992030\pi\) | |||||||
\(284\) | −13.7899 | − | 2.11504i | −0.818279 | − | 0.125505i | ||||
\(285\) | − | 7.94150i | − | 0.470414i | ||||||
\(286\) | −15.7225 | − | 5.58464i | −0.929693 | − | 0.330227i | ||||
\(287\) | − | 9.42215i | − | 0.556172i | ||||||
\(288\) | −13.5226 | − | 3.07218i | −0.796828 | − | 0.181030i | ||||
\(289\) | 5.25178 | − | 16.1633i | 0.308928 | − | 0.950783i | ||||
\(290\) | 7.30317 | + | 1.73446i | 0.428857 | + | 0.101851i | ||||
\(291\) | 3.18954 | + | 4.39002i | 0.186974 | + | 0.257348i | ||||
\(292\) | 9.10245 | − | 18.0826i | 0.532681 | − | 1.05820i | ||||
\(293\) | 5.04336 | − | 1.63869i | 0.294636 | − | 0.0957331i | −0.157969 | − | 0.987444i | \(-0.550495\pi\) |
0.452605 | + | 0.891711i | \(0.350495\pi\) | |||||||
\(294\) | −2.96660 | − | 3.45629i | −0.173015 | − | 0.201575i | ||||
\(295\) | 3.85320 | − | 5.30348i | 0.224342 | − | 0.308780i | ||||
\(296\) | −1.38419 | + | 19.4063i | −0.0804542 | + | 1.12797i | ||||
\(297\) | 6.65627 | + | 11.6202i | 0.386236 | + | 0.674272i | ||||
\(298\) | 12.6261 | − | 20.7175i | 0.731413 | − | 1.20013i | ||||
\(299\) | 15.2811 | + | 11.1024i | 0.883729 | + | 0.642066i | ||||
\(300\) | 0.760080 | + | 4.65164i | 0.0438832 | + | 0.268563i | ||||
\(301\) | 0.953632 | + | 2.93498i | 0.0549664 | + | 0.169169i | ||||
\(302\) | 17.1381 | − | 1.39096i | 0.986185 | − | 0.0800407i | ||||
\(303\) | 5.73613 | − | 4.16754i | 0.329532 | − | 0.239419i | ||||
\(304\) | 30.3441 | + | 9.53238i | 1.74035 | + | 0.546720i | ||||
\(305\) | 1.72617 | + | 0.560865i | 0.0988400 | + | 0.0321150i | ||||
\(306\) | −0.223866 | + | 0.0933699i | −0.0127975 | + | 0.00533760i | ||||
\(307\) | 2.27014 | 0.129564 | 0.0647820 | − | 0.997899i | \(-0.479365\pi\) | ||||
0.0647820 | + | 0.997899i | \(0.479365\pi\) | |||||||
\(308\) | 9.06752 | + | 5.86940i | 0.516670 | + | 0.334440i | ||||
\(309\) | −7.64487 | −0.434901 | ||||||||
\(310\) | 6.50123 | − | 2.71154i | 0.369245 | − | 0.154005i | ||||
\(311\) | −19.1795 | − | 6.23180i | −1.08757 | − | 0.353373i | −0.290263 | − | 0.956947i | \(-0.593743\pi\) |
−0.797307 | + | 0.603574i | \(0.793743\pi\) | |||||||
\(312\) | −7.23336 | + | 1.79278i | −0.409508 | + | 0.101496i | ||||
\(313\) | −1.24741 | + | 0.906296i | −0.0705078 | + | 0.0512269i | −0.622481 | − | 0.782635i | \(-0.713875\pi\) |
0.551973 | + | 0.833862i | \(0.313875\pi\) | |||||||
\(314\) | −7.47321 | + | 0.606540i | −0.421738 | + | 0.0342290i | ||||
\(315\) | 1.66331 | + | 5.11913i | 0.0937168 | + | 0.288431i | ||||
\(316\) | 11.8519 | − | 1.93661i | 0.666724 | − | 0.108943i | ||||
\(317\) | 13.6418 | + | 9.91136i | 0.766201 | + | 0.556678i | 0.900806 | − | 0.434222i | \(-0.142977\pi\) |
−0.134605 | + | 0.990899i | \(0.542977\pi\) | |||||||
\(318\) | 2.11923 | − | 3.47732i | 0.118841 | − | 0.194999i | ||||
\(319\) | 12.7791 | − | 2.67083i | 0.715492 | − | 0.149538i | ||||
\(320\) | 10.6781 | + | 1.53105i | 0.596924 | + | 0.0855885i | ||||
\(321\) | −4.82253 | + | 6.63765i | −0.269167 | + | 0.370477i | ||||
\(322\) | −7.96410 | − | 9.27874i | −0.443822 | − | 0.517084i | ||||
\(323\) | 0.529105 | − | 0.171917i | 0.0294402 | − | 0.00956569i | ||||
\(324\) | −7.79520 | − | 3.92396i | −0.433067 | − | 0.217998i | ||||
\(325\) | −6.65275 | − | 9.15673i | −0.369028 | − | 0.507924i | ||||
\(326\) | −13.8386 | − | 3.28660i | −0.766450 | − | 0.182028i | ||||
\(327\) | −2.05062 | + | 6.31117i | −0.113400 | + | 0.349009i | ||||
\(328\) | −12.5224 | − | 10.5373i | −0.691434 | − | 0.581825i | ||||
\(329\) | 15.9667i | 0.880275i | ||||||||
\(330\) | −2.64962 | − | 3.86316i | −0.145857 | − | 0.212660i | ||||
\(331\) | 33.9735i | 1.86735i | 0.358115 | + | 0.933677i | \(0.383419\pi\) | ||||
−0.358115 | + | 0.933677i | \(0.616581\pi\) | |||||||
\(332\) | 1.09516 | − | 7.14036i | 0.0601049 | − | 0.391878i | ||||
\(333\) | −5.21071 | + | 16.0369i | −0.285545 | + | 0.878818i | ||||
\(334\) | −7.15895 | + | 30.1436i | −0.391721 | + | 1.64939i | ||||
\(335\) | 3.89396 | + | 5.35958i | 0.212750 | + | 0.292825i | ||||
\(336\) | 4.82414 | − | 0.0471745i | 0.263179 | − | 0.00257358i | ||||
\(337\) | −16.2590 | + | 5.28286i | −0.885683 | + | 0.287776i | −0.716315 | − | 0.697777i | \(-0.754173\pi\) |
−0.169368 | + | 0.985553i | \(0.554173\pi\) | |||||||
\(338\) | −0.371393 | + | 0.318773i | −0.0202011 | + | 0.0173390i | ||||
\(339\) | −4.79898 | + | 6.60523i | −0.260645 | + | 0.358747i | ||||
\(340\) | 0.167699 | − | 0.0864821i | 0.00909474 | − | 0.00469015i | ||||
\(341\) | 8.22863 | − | 9.07647i | 0.445605 | − | 0.491518i | ||||
\(342\) | 23.5394 | + | 14.3459i | 1.27286 | + | 0.775738i | ||||
\(343\) | −14.9502 | − | 10.8619i | −0.807232 | − | 0.586489i | ||||
\(344\) | 4.96720 | + | 2.01493i | 0.267814 | + | 0.108638i | ||||
\(345\) | 1.63877 | + | 5.04362i | 0.0882284 | + | 0.271539i | ||||
\(346\) | −1.35365 | − | 16.6784i | −0.0727729 | − | 0.896638i | ||||
\(347\) | 2.02180 | − | 1.46893i | 0.108536 | − | 0.0788561i | −0.532193 | − | 0.846623i | \(-0.678632\pi\) |
0.640729 | + | 0.767767i | \(0.278632\pi\) | |||||||
\(348\) | 4.10296 | − | 4.14328i | 0.219942 | − | 0.222103i | ||||
\(349\) | −6.66811 | − | 2.16660i | −0.356936 | − | 0.115975i | 0.125060 | − | 0.992149i | \(-0.460088\pi\) |
−0.481995 | + | 0.876174i | \(0.660088\pi\) | |||||||
\(350\) | 2.82054 | + | 6.76257i | 0.150764 | + | 0.361475i | ||||
\(351\) | −14.3631 | −0.766646 | ||||||||
\(352\) | 17.9414 | − | 5.48701i | 0.956278 | − | 0.292459i | ||||
\(353\) | 17.9431 | 0.955017 | 0.477509 | − | 0.878627i | \(-0.341540\pi\) | ||||
0.477509 | + | 0.878627i | \(0.341540\pi\) | |||||||
\(354\) | −1.96027 | − | 4.69999i | −0.104187 | − | 0.249802i | ||||
\(355\) | 8.94560 | + | 2.90660i | 0.474783 | + | 0.154266i | ||||
\(356\) | 7.59526 | − | 7.66989i | 0.402548 | − | 0.406504i | ||||
\(357\) | 0.0682688 | − | 0.0496002i | 0.00361317 | − | 0.00262512i | ||||
\(358\) | −0.106816 | − | 1.31609i | −0.00564542 | − | 0.0695575i | ||||
\(359\) | 2.99112 | + | 9.20572i | 0.157865 | + | 0.485859i | 0.998440 | − | 0.0558363i | \(-0.0177825\pi\) |
−0.840575 | + | 0.541696i | \(0.817783\pi\) | |||||||
\(360\) | 8.66370 | + | 3.51441i | 0.456617 | + | 0.185225i | ||||
\(361\) | −35.7804 | − | 25.9960i | −1.88318 | − | 1.36821i | ||||
\(362\) | −22.7509 | − | 13.8654i | −1.19576 | − | 0.728748i | ||||
\(363\) | −7.02797 | − | 4.12168i | −0.368873 | − | 0.216332i | ||||
\(364\) | −10.2965 | + | 5.30988i | −0.539681 | + | 0.278313i | ||||
\(365\) | −8.02262 | + | 11.0422i | −0.419923 | + | 0.577975i | ||||
\(366\) | 1.06987 | − | 0.918291i | 0.0559232 | − | 0.0479998i | ||||
\(367\) | 29.4325 | − | 9.56319i | 1.53636 | − | 0.499194i | 0.585992 | − | 0.810317i | \(-0.300705\pi\) |
0.950370 | + | 0.311122i | \(0.100705\pi\) | |||||||
\(368\) | −21.2385 | + | 0.207688i | −1.10713 | + | 0.0108265i | ||||
\(369\) | −8.33739 | − | 11.4754i | −0.434027 | − | 0.597387i | ||||
\(370\) | 3.03094 | − | 12.7621i | 0.157571 | − | 0.663473i | ||||
\(371\) | 1.95624 | − | 6.02070i | 0.101563 | − | 0.312579i | ||||
\(372\) | 0.829566 | − | 5.40869i | 0.0430110 | − | 0.280428i | ||||
\(373\) | 4.92658i | 0.255088i | 0.991833 | + | 0.127544i | \(0.0407095\pi\) | ||||
−0.991833 | + | 0.127544i | \(0.959291\pi\) | |||||||
\(374\) | 0.200026 | − | 0.260161i | 0.0103431 | − | 0.0134526i | ||||
\(375\) | − | 8.17145i | − | 0.421972i | ||||||
\(376\) | 21.2204 | + | 17.8565i | 1.09436 | + | 0.920877i | ||||
\(377\) | −4.32696 | + | 13.3170i | −0.222850 | + | 0.685861i | ||||
\(378\) | 9.04667 | + | 2.14854i | 0.465311 | + | 0.110509i | ||||
\(379\) | 2.36592 | + | 3.25642i | 0.121529 | + | 0.167271i | 0.865447 | − | 0.501000i | \(-0.167035\pi\) |
−0.743918 | + | 0.668271i | \(0.767035\pi\) | |||||||
\(380\) | −19.1541 | − | 9.64181i | −0.982582 | − | 0.494614i | ||||
\(381\) | 7.25018 | − | 2.35573i | 0.371438 | − | 0.120688i | ||||
\(382\) | −18.8307 | − | 21.9391i | −0.963464 | − | 1.12250i | ||||
\(383\) | 7.04690 | − | 9.69922i | 0.360080 | − | 0.495607i | −0.590091 | − | 0.807337i | \(-0.700908\pi\) |
0.950171 | + | 0.311729i | \(0.100908\pi\) | |||||||
\(384\) | 5.33240 | − | 6.46423i | 0.272118 | − | 0.329877i | ||||
\(385\) | −5.39523 | − | 4.89125i | −0.274966 | − | 0.249281i | ||||
\(386\) | −12.7625 | + | 20.9412i | −0.649594 | + | 1.06588i | ||||
\(387\) | 3.75853 | + | 2.73073i | 0.191057 | + | 0.138811i | ||||
\(388\) | 14.4607 | − | 2.36288i | 0.734131 | − | 0.119957i | ||||
\(389\) | 4.24498 | + | 13.0647i | 0.215229 | + | 0.662407i | 0.999137 | + | 0.0415304i | \(0.0132233\pi\) |
−0.783908 | + | 0.620877i | \(0.786777\pi\) | |||||||
\(390\) | 5.00787 | − | 0.406449i | 0.253583 | − | 0.0205813i | ||||
\(391\) | −0.300556 | + | 0.218367i | −0.0151998 | + | 0.0110433i | ||||
\(392\) | −11.9380 | + | 2.95882i | −0.602958 | + | 0.149443i | ||||
\(393\) | 1.31564 | + | 0.427478i | 0.0663654 | + | 0.0215634i | ||||
\(394\) | 4.55701 | − | 1.90064i | 0.229579 | − | 0.0957529i | ||||
\(395\) | −8.09663 | −0.407386 | ||||||||
\(396\) | 16.2372 | − | 0.875116i | 0.815949 | − | 0.0439763i | ||||
\(397\) | −12.1547 | −0.610027 | −0.305014 | − | 0.952348i | \(-0.598661\pi\) | ||||
−0.305014 | + | 0.952348i | \(0.598661\pi\) | |||||||
\(398\) | −14.7048 | + | 6.13308i | −0.737084 | + | 0.307424i | ||||
\(399\) | −9.12092 | − | 2.96357i | −0.456617 | − | 0.148364i | ||||
\(400\) | 12.1421 | + | 3.81435i | 0.607104 | + | 0.190717i | ||||
\(401\) | 23.2839 | − | 16.9167i | 1.16274 | − | 0.844782i | 0.172620 | − | 0.984989i | \(-0.444777\pi\) |
0.990122 | + | 0.140207i | \(0.0447768\pi\) | |||||||
\(402\) | 5.12941 | − | 0.416313i | 0.255832 | − | 0.0207638i | ||||
\(403\) | 4.06049 | + | 12.4969i | 0.202267 | + | 0.622515i | ||||
\(404\) | −3.08741 | − | 18.8948i | −0.153604 | − | 0.940049i | ||||
\(405\) | 4.76016 | + | 3.45846i | 0.236534 | + | 0.171852i | ||||
\(406\) | 4.71741 | − | 7.74052i | 0.234121 | − | 0.384156i | ||||
\(407\) | −4.66723 | − | 22.3312i | −0.231346 | − | 1.10692i | ||||
\(408\) | 0.0104281 | − | 0.146203i | 0.000516269 | − | 0.00723811i | ||||
\(409\) | 11.1416 | − | 15.3351i | 0.550917 | − | 0.758272i | −0.439219 | − | 0.898380i | \(-0.644745\pi\) |
0.990136 | + | 0.140108i | \(0.0447449\pi\) | |||||||
\(410\) | 7.18654 | + | 8.37282i | 0.354918 | + | 0.413504i | ||||
\(411\) | −0.883682 | + | 0.287126i | −0.0435888 | + | 0.0141629i | ||||
\(412\) | −9.28167 | + | 18.4386i | −0.457275 | + | 0.908405i | ||||
\(413\) | −4.65320 | − | 6.40457i | −0.228969 | − | 0.315149i | ||||
\(414\) | −17.9101 | − | 4.25356i | −0.880235 | − | 0.209051i | ||||
\(415\) | −1.50503 | + | 4.63200i | −0.0738790 | + | 0.227376i | ||||
\(416\) | −4.45805 | + | 19.6227i | −0.218574 | + | 0.962083i | ||||
\(417\) | 4.65970i | 0.228186i | ||||||||
\(418\) | −37.2823 | − | 1.01212i | −1.82354 | − | 0.0495042i | ||||
\(419\) | − | 15.3705i | − | 0.750898i | −0.926843 | − | 0.375449i | \(-0.877488\pi\) | ||
0.926843 | − | 0.375449i | \(-0.122512\pi\) | |||||||
\(420\) | −3.21503 | − | 0.493110i | −0.156877 | − | 0.0240613i | ||||
\(421\) | 5.97047 | − | 18.3752i | 0.290983 | − | 0.895553i | −0.693558 | − | 0.720400i | \(-0.743958\pi\) |
0.984541 | − | 0.175153i | \(-0.0560419\pi\) | |||||||
\(422\) | −0.896339 | + | 3.77414i | −0.0436331 | + | 0.183722i | ||||
\(423\) | 14.1285 | + | 19.4462i | 0.686952 | + | 0.945508i | ||||
\(424\) | −5.81397 | − | 9.33320i | −0.282351 | − | 0.453260i | ||||
\(425\) | 0.211719 | − | 0.0687918i | 0.0102699 | − | 0.00333689i | ||||
\(426\) | 5.54446 | − | 4.75891i | 0.268630 | − | 0.230570i | ||||
\(427\) | 1.28832 | − | 1.77322i | 0.0623463 | − | 0.0858123i | ||||
\(428\) | 10.1542 | + | 19.6902i | 0.490824 | + | 0.951763i | ||||
\(429\) | 7.58260 | − | 4.34345i | 0.366091 | − | 0.209704i | ||||
\(430\) | −3.08602 | − | 1.88075i | −0.148821 | − | 0.0906980i | ||||
\(431\) | −21.9276 | − | 15.9313i | −1.05621 | − | 0.767385i | −0.0828305 | − | 0.996564i | \(-0.526396\pi\) |
−0.973384 | + | 0.229179i | \(0.926396\pi\) | |||||||
\(432\) | 12.9729 | − | 9.62056i | 0.624158 | − | 0.462869i | ||||
\(433\) | 1.34612 | + | 4.14294i | 0.0646905 | + | 0.199097i | 0.978177 | − | 0.207771i | \(-0.0666209\pi\) |
−0.913487 | + | 0.406868i | \(0.866621\pi\) | |||||||
\(434\) | −0.688142 | − | 8.47863i | −0.0330319 | − | 0.406987i | ||||
\(435\) | −3.18051 | + | 2.31078i | −0.152494 | + | 0.110793i | ||||
\(436\) | 12.7322 | + | 12.6083i | 0.609762 | + | 0.603829i | ||||
\(437\) | 40.1552 | + | 13.0472i | 1.92088 | + | 0.624133i | ||||
\(438\) | 4.08142 | + | 9.78569i | 0.195018 | + | 0.467578i | ||||
\(439\) | −24.0996 | −1.15021 | −0.575105 | − | 0.818080i | \(-0.695039\pi\) | ||||
−0.575105 | + | 0.818080i | \(0.695039\pi\) | |||||||
\(440\) | −12.5344 | + | 1.70031i | −0.597556 | + | 0.0810592i | ||||
\(441\) | −10.6597 | −0.507605 | ||||||||
\(442\) | 0.135489 | + | 0.324852i | 0.00644458 | + | 0.0154516i | ||||
\(443\) | −21.9169 | − | 7.12124i | −1.04130 | − | 0.338340i | −0.262054 | − | 0.965053i | \(-0.584400\pi\) |
−0.779250 | + | 0.626713i | \(0.784400\pi\) | |||||||
\(444\) | −7.24030 | − | 7.16985i | −0.343609 | − | 0.340266i | ||||
\(445\) | −5.88765 | + | 4.27763i | −0.279102 | + | 0.202779i | ||||
\(446\) | 2.71433 | + | 33.4434i | 0.128527 | + | 1.58359i | ||||
\(447\) | 3.92662 | + | 12.0849i | 0.185723 | + | 0.571595i | ||||
\(448\) | 5.74323 | − | 11.6926i | 0.271342 | − | 0.552423i | ||||
\(449\) | 3.05281 | + | 2.21800i | 0.144071 | + | 0.104674i | 0.657486 | − | 0.753467i | \(-0.271620\pi\) |
−0.513415 | + | 0.858140i | \(0.671620\pi\) | |||||||
\(450\) | 9.41920 | + | 5.74046i | 0.444025 | + | 0.270608i | ||||
\(451\) | 17.5050 | + | 7.86527i | 0.824278 | + | 0.370361i | ||||
\(452\) | 10.1047 | + | 19.5941i | 0.475283 | + | 0.921628i | ||||
\(453\) | −5.29321 | + | 7.28548i | −0.248697 | + | 0.342302i | ||||
\(454\) | 0.859403 | − | 0.737640i | 0.0403338 | − | 0.0346192i | ||||
\(455\) | 7.42839 | − | 2.41363i | 0.348248 | − | 0.113153i | ||||
\(456\) | −14.1391 | + | 8.80774i | −0.662125 | + | 0.412460i | ||||
\(457\) | 20.7236 | + | 28.5236i | 0.969409 | + | 1.33428i | 0.942345 | + | 0.334644i | \(0.108616\pi\) |
0.0270646 | + | 0.999634i | \(0.491384\pi\) | |||||||
\(458\) | −7.70837 | + | 32.4570i | −0.360188 | + | 1.51662i | ||||
\(459\) | 0.0872976 | − | 0.268674i | 0.00407470 | − | 0.0125406i | ||||
\(460\) | 14.1543 | + | 2.17094i | 0.659948 | + | 0.101220i | ||||
\(461\) | − | 38.5074i | − | 1.79347i | −0.442571 | − | 0.896734i | \(-0.645933\pi\) | ||
0.442571 | − | 0.896734i | \(-0.354067\pi\) | |||||||
\(462\) | −5.42566 | + | 1.60149i | −0.252425 | + | 0.0745078i | ||||
\(463\) | − | 10.7672i | − | 0.500394i | −0.968195 | − | 0.250197i | \(-0.919505\pi\) | ||
0.968195 | − | 0.250197i | \(-0.0804954\pi\) | |||||||
\(464\) | −5.01172 | − | 14.9263i | −0.232663 | − | 0.692935i | ||||
\(465\) | −1.14003 | + | 3.50866i | −0.0528677 | + | 0.162710i | ||||
\(466\) | 24.0673 | + | 5.71586i | 1.11490 | + | 0.264782i | ||||
\(467\) | 12.1553 | + | 16.7304i | 0.562481 | + | 0.774189i | 0.991639 | − | 0.129040i | \(-0.0411897\pi\) |
−0.429158 | + | 0.903229i | \(0.641190\pi\) | |||||||
\(468\) | −7.84171 | + | 15.5780i | −0.362483 | + | 0.720095i | ||||
\(469\) | 7.60867 | − | 2.47221i | 0.351336 | − | 0.114156i | ||||
\(470\) | −12.1783 | − | 14.1886i | −0.561742 | − | 0.654469i | ||||
\(471\) | 2.30815 | − | 3.17690i | 0.106354 | − | 0.146384i | ||||
\(472\) | −13.7159 | − | 0.978304i | −0.631323 | − | 0.0450301i | ||||
\(473\) | −6.24883 | − | 0.678301i | −0.287321 | − | 0.0311883i | ||||
\(474\) | −3.27320 | + | 5.37080i | −0.150343 | + | 0.246689i | ||||
\(475\) | −20.4682 | − | 14.8710i | −0.939144 | − | 0.682328i | ||||
\(476\) | −0.0367450 | − | 0.224877i | −0.00168420 | − | 0.0103072i | ||||
\(477\) | −2.94499 | − | 9.06375i | −0.134842 | − | 0.415001i | ||||
\(478\) | 9.42299 | − | 0.764788i | 0.430997 | − | 0.0349806i | ||||
\(479\) | 9.23398 | − | 6.70888i | 0.421911 | − | 0.306536i | −0.356495 | − | 0.934297i | \(-0.616028\pi\) |
0.778406 | + | 0.627761i | \(0.216028\pi\) | |||||||
\(480\) | −4.25091 | + | 3.72143i | −0.194026 | + | 0.169859i | ||||
\(481\) | 23.2712 | + | 7.56128i | 1.06108 | + | 0.344765i | ||||
\(482\) | −5.59496 | + | 2.33355i | −0.254843 | + | 0.106290i | ||||
\(483\) | 6.40421 | 0.291401 | ||||||||
\(484\) | −18.4737 | + | 11.9466i | −0.839716 | + | 0.543026i | ||||
\(485\) | −9.87880 | −0.448573 | ||||||||
\(486\) | 20.0290 | − | 8.35372i | 0.908535 | − | 0.378932i | ||||
\(487\) | −3.80894 | − | 1.23760i | −0.172600 | − | 0.0560810i | 0.221442 | − | 0.975173i | \(-0.428924\pi\) |
−0.394042 | + | 0.919092i | \(0.628924\pi\) | |||||||
\(488\) | −0.915883 | − | 3.69532i | −0.0414601 | − | 0.167279i | ||||
\(489\) | 6.02668 | − | 4.37864i | 0.272536 | − | 0.198009i | ||||
\(490\) | 8.26501 | − | 0.670804i | 0.373375 | − | 0.0303039i | ||||
\(491\) | 3.45914 | + | 10.6461i | 0.156109 | + | 0.480454i | 0.998272 | − | 0.0587698i | \(-0.0187178\pi\) |
−0.842163 | + | 0.539223i | \(0.818718\pi\) | |||||||
\(492\) | 8.45928 | − | 1.38225i | 0.381374 | − | 0.0623166i | ||||
\(493\) | −0.222807 | − | 0.161879i | −0.0100347 | − | 0.00729066i | ||||
\(494\) | 20.8174 | − | 34.1581i | 0.936619 | − | 1.53684i | ||||
\(495\) | −10.8991 | − | 1.18308i | −0.489877 | − | 0.0531755i | ||||
\(496\) | −12.0380 | − | 8.56754i | −0.540523 | − | 0.384694i | ||||
\(497\) | 6.67654 | − | 9.18946i | 0.299484 | − | 0.412204i | ||||
\(498\) | 2.46415 | + | 2.87091i | 0.110421 | + | 0.128648i | ||||
\(499\) | 37.4389 | − | 12.1646i | 1.67599 | − | 0.544564i | 0.691867 | − | 0.722025i | \(-0.256789\pi\) |
0.984128 | + | 0.177462i | \(0.0567886\pi\) | |||||||
\(500\) | −19.7087 | − | 9.92099i | −0.881398 | − | 0.443680i | ||||
\(501\) | −9.53767 | − | 13.1275i | −0.426112 | − | 0.586492i | ||||
\(502\) | 6.73892 | + | 1.60046i | 0.300773 | + | 0.0714319i | ||||
\(503\) | −5.97544 | + | 18.3905i | −0.266432 | + | 0.819993i | 0.724928 | + | 0.688824i | \(0.241873\pi\) |
−0.991360 | + | 0.131168i | \(0.958127\pi\) | |||||||
\(504\) | 7.26941 | − | 8.63888i | 0.323805 | − | 0.384807i | ||||
\(505\) | 12.9079i | 0.574395i | ||||||||
\(506\) | 23.8867 | − | 7.05061i | 1.06189 | − | 0.313438i | ||||
\(507\) | − | 0.256336i | − | 0.0113843i | ||||||
\(508\) | 3.12071 | − | 20.3468i | 0.138459 | − | 0.902742i | ||||
\(509\) | −13.2867 | + | 40.8921i | −0.588920 | + | 1.81251i | −0.00599915 | + | 0.999982i | \(0.501910\pi\) |
−0.582921 | + | 0.812529i | \(0.698090\pi\) | |||||||
\(510\) | −0.0228344 | + | 0.0961469i | −0.00101112 | + | 0.00425746i | ||||
\(511\) | 9.68826 | + | 13.3347i | 0.428583 | + | 0.589895i | ||||
\(512\) | −9.11695 | − | 20.7094i | −0.402916 | − | 0.915237i | ||||
\(513\) | −30.5347 | + | 9.92132i | −1.34814 | + | 0.438037i | ||||
\(514\) | 13.2899 | − | 11.4070i | 0.586194 | − | 0.503140i | ||||
\(515\) | 8.18058 | − | 11.2596i | 0.360479 | − | 0.496157i | ||||
\(516\) | −2.49515 | + | 1.28675i | −0.109843 | + | 0.0566458i | ||||
\(517\) | −29.6639 | − | 13.3285i | −1.30462 | − | 0.586185i | ||||
\(518\) | −13.5264 | − | 8.24359i | −0.594317 | − | 0.362202i | ||||
\(519\) | 7.09009 | + | 5.15125i | 0.311220 | + | 0.226115i | ||||
\(520\) | 5.09977 | − | 12.5719i | 0.223640 | − | 0.551315i | ||||
\(521\) | −4.55221 | − | 14.0103i | −0.199436 | − | 0.613801i | −0.999896 | − | 0.0144150i | \(-0.995411\pi\) |
0.800460 | − | 0.599386i | \(-0.204589\pi\) | |||||||
\(522\) | −1.10394 | − | 13.6016i | −0.0483180 | − | 0.595328i | ||||
\(523\) | −32.7270 | + | 23.7776i | −1.43105 | + | 1.03972i | −0.441234 | + | 0.897392i | \(0.645459\pi\) |
−0.989819 | + | 0.142329i | \(0.954541\pi\) | |||||||
\(524\) | 2.62836 | − | 2.65419i | 0.114820 | − | 0.115949i | ||||
\(525\) | −3.64970 | − | 1.18586i | −0.159286 | − | 0.0517552i | ||||
\(526\) | 9.22676 | + | 22.1223i | 0.402306 | + | 0.964576i | ||||
\(527\) | −0.258445 | −0.0112580 | ||||||||
\(528\) | −3.93937 | + | 9.00194i | −0.171439 | + | 0.391759i | ||||
\(529\) | −5.19479 | −0.225860 | ||||||||
\(530\) | 2.85378 | + | 6.84227i | 0.123960 | + | 0.297209i | ||||
\(531\) | −11.3344 | − | 3.68278i | −0.491873 | − | 0.159819i | ||||
\(532\) | −18.2215 | + | 18.4006i | −0.790004 | + | 0.797767i | ||||
\(533\) | −16.6520 | + | 12.0984i | −0.721280 | + | 0.524040i | ||||
\(534\) | 0.457332 | + | 5.63480i | 0.0197907 | + | 0.243842i | ||||
\(535\) | −4.61566 | − | 14.2055i | −0.199552 | − | 0.614159i | ||||
\(536\) | 5.22353 | − | 12.8770i | 0.225622 | − | 0.556203i | ||||
\(537\) | 0.559477 | + | 0.406484i | 0.0241432 | + | 0.0175411i | ||||
\(538\) | −4.77584 | − | 2.91060i | −0.205901 | − | 0.125485i | ||||
\(539\) | 12.5144 | − | 7.16845i | 0.539031 | − | 0.308767i | ||||
\(540\) | −9.67791 | + | 4.99089i | −0.416471 | + | 0.214774i | ||||
\(541\) | −9.83661 | + | 13.5389i | −0.422909 | + | 0.582084i | −0.966307 | − | 0.257391i | \(-0.917137\pi\) |
0.543399 | + | 0.839475i | \(0.317137\pi\) | |||||||
\(542\) | 25.4733 | − | 21.8642i | 1.09417 | − | 0.939148i | ||||
\(543\) | 13.2710 | − | 4.31200i | 0.569512 | − | 0.185046i | ||||
\(544\) | −0.339964 | − | 0.202657i | −0.0145759 | − | 0.00868884i | ||||
\(545\) | −7.10097 | − | 9.77365i | −0.304172 | − | 0.418657i | ||||
\(546\) | 1.40200 | − | 5.90328i | 0.0600000 | − | 0.252637i | ||||
\(547\) | −2.87078 | + | 8.83536i | −0.122746 | + | 0.377773i | −0.993484 | − | 0.113975i | \(-0.963642\pi\) |
0.870738 | + | 0.491747i | \(0.163642\pi\) | |||||||
\(548\) | −0.380366 | + | 2.47995i | −0.0162484 | + | 0.105938i | ||||
\(549\) | − | 3.29964i | − | 0.140825i | ||||||
\(550\) | −14.9184 | − | 0.404995i | −0.636122 | − | 0.0172690i | ||||
\(551\) | 31.2996i | 1.33341i | ||||||||
\(552\) | 7.16217 | − | 8.51144i | 0.304842 | − | 0.362271i | ||||
\(553\) | −3.02146 | + | 9.29909i | −0.128485 | + | 0.395437i | ||||
\(554\) | −20.6544 | − | 4.90530i | −0.877520 | − | 0.208406i | ||||
\(555\) | 4.03804 | + | 5.55788i | 0.171405 | + | 0.235919i | ||||
\(556\) | 11.2387 | + | 5.65736i | 0.476627 | + | 0.239925i | ||||
\(557\) | 12.6129 | − | 4.09818i | 0.534425 | − | 0.173645i | −0.0293567 | − | 0.999569i | \(-0.509346\pi\) |
0.563782 | + | 0.825924i | \(0.309346\pi\) | |||||||
\(558\) | −8.34059 | − | 9.71738i | −0.353086 | − | 0.411369i | ||||
\(559\) | 3.96257 | − | 5.45401i | 0.167599 | − | 0.230680i | ||||
\(560\) | −5.09271 | + | 7.15563i | −0.215206 | + | 0.302380i | ||||
\(561\) | 0.0351618 | + | 0.168238i | 0.00148453 | + | 0.00710302i | ||||
\(562\) | −4.22549 | + | 6.93336i | −0.178241 | + | 0.292466i | ||||
\(563\) | −19.0155 | − | 13.8156i | −0.801408 | − | 0.582257i | 0.109919 | − | 0.993941i | \(-0.464941\pi\) |
−0.911327 | + | 0.411684i | \(0.864941\pi\) | |||||||
\(564\) | −14.3351 | + | 2.34235i | −0.603615 | + | 0.0986309i | ||||
\(565\) | −4.59312 | − | 14.1362i | −0.193234 | − | 0.594713i | ||||
\(566\) | −15.7799 | + | 1.28073i | −0.663279 | + | 0.0538330i | ||||
\(567\) | 5.74846 | − | 4.17650i | 0.241413 | − | 0.175396i | ||||
\(568\) | −4.74643 | − | 19.1505i | −0.199156 | − | 0.803535i | ||||
\(569\) | −12.2494 | − | 3.98008i | −0.513523 | − | 0.166854i | 0.0407811 | − | 0.999168i | \(-0.487015\pi\) |
−0.554304 | + | 0.832315i | \(0.687015\pi\) | |||||||
\(570\) | 10.3655 | − | 4.32326i | 0.434164 | − | 0.181081i | ||||
\(571\) | −20.4261 | −0.854806 | −0.427403 | − | 0.904061i | \(-0.640571\pi\) | ||||
−0.427403 | + | 0.904061i | \(0.640571\pi\) | |||||||
\(572\) | −1.26988 | − | 23.5618i | −0.0530965 | − | 0.985169i | ||||
\(573\) | 15.1424 | 0.632585 | ||||||||
\(574\) | 12.2981 | − | 5.12931i | 0.513314 | − | 0.214093i | ||||
\(575\) | 16.0680 | + | 5.22080i | 0.670080 | + | 0.217722i | ||||
\(576\) | −3.35164 | − | 19.3227i | −0.139652 | − | 0.805111i | ||||
\(577\) | −5.53777 | + | 4.02342i | −0.230540 | + | 0.167497i | −0.697058 | − | 0.717014i | \(-0.745508\pi\) |
0.466518 | + | 0.884512i | \(0.345508\pi\) | |||||||
\(578\) | 23.9559 | − | 1.94431i | 0.996436 | − | 0.0808727i | ||||
\(579\) | −3.96902 | − | 12.2154i | −0.164947 | − | 0.507654i | ||||
\(580\) | 1.71188 | + | 10.4766i | 0.0710818 | + | 0.435016i | ||||
\(581\) | 4.75828 | + | 3.45709i | 0.197407 | + | 0.143424i | ||||
\(582\) | −3.99367 | + | 6.55298i | −0.165543 | + | 0.271630i | ||||
\(583\) | 9.55259 | + | 8.66028i | 0.395628 | + | 0.358672i | ||||
\(584\) | 28.5573 | + | 2.03689i | 1.18171 | + | 0.0842873i | ||||
\(585\) | 6.91144 | − | 9.51278i | 0.285753 | − | 0.393305i | ||||
\(586\) | 4.88442 | + | 5.69069i | 0.201773 | + | 0.235080i | ||||
\(587\) | 0.607533 | − | 0.197399i | 0.0250756 | − | 0.00814754i | −0.296452 | − | 0.955048i | \(-0.595804\pi\) |
0.321528 | + | 0.946900i | \(0.395804\pi\) | |||||||
\(588\) | 2.89630 | − | 5.75367i | 0.119441 | − | 0.237277i | ||||
\(589\) | 17.2645 | + | 23.7625i | 0.711370 | + | 0.979117i | ||||
\(590\) | 9.01993 | + | 2.14219i | 0.371345 | + | 0.0881924i | ||||
\(591\) | −0.799100 | + | 2.45938i | −0.0328706 | + | 0.101165i | ||||
\(592\) | −26.0834 | + | 8.75790i | −1.07202 | + | 0.359947i | ||||
\(593\) | 17.0480i | 0.700077i | 0.936735 | + | 0.350039i | \(0.113832\pi\) | ||||
−0.936735 | + | 0.350039i | \(0.886168\pi\) | |||||||
\(594\) | −11.5435 | + | 15.0139i | −0.473636 | + | 0.616028i | ||||
\(595\) | 0.153624i | 0.00629799i | ||||||||
\(596\) | 33.9148 | + | 5.20173i | 1.38920 | + | 0.213071i | ||||
\(597\) | 2.57858 | − | 7.93604i | 0.105534 | − | 0.324801i | ||||
\(598\) | −6.17236 | + | 25.9894i | −0.252406 | + | 1.06279i | ||||
\(599\) | 1.16656 | + | 1.60564i | 0.0476645 | + | 0.0656045i | 0.832184 | − | 0.554500i | \(-0.187090\pi\) |
−0.784519 | + | 0.620104i | \(0.787090\pi\) | |||||||
\(600\) | −5.65771 | + | 3.52439i | −0.230975 | + | 0.143882i | ||||
\(601\) | 15.6571 | − | 5.08729i | 0.638665 | − | 0.207515i | 0.0282553 | − | 0.999601i | \(-0.491005\pi\) |
0.610410 | + | 0.792086i | \(0.291005\pi\) | |||||||
\(602\) | −3.31169 | + | 2.84248i | −0.134975 | + | 0.115851i | ||||
\(603\) | 7.07917 | − | 9.74365i | 0.288286 | − | 0.396792i | ||||
\(604\) | 11.1453 | + | 21.6120i | 0.453496 | + | 0.879380i | ||||
\(605\) | 13.5910 | − | 5.94052i | 0.552552 | − | 0.241516i | ||||
\(606\) | 8.56231 | + | 5.21824i | 0.347820 | + | 0.211976i | ||||
\(607\) | 23.2353 | + | 16.8814i | 0.943091 | + | 0.685196i | 0.949163 | − | 0.314786i | \(-0.101933\pi\) |
−0.00607141 | + | 0.999982i | \(0.501933\pi\) | |||||||
\(608\) | 4.07698 | + | 44.7956i | 0.165343 | + | 1.81670i | ||||
\(609\) | 1.46707 | + | 4.51518i | 0.0594487 | + | 0.182964i | ||||
\(610\) | 0.207643 | + | 2.55838i | 0.00840723 | + | 0.103586i | ||||
\(611\) | 28.2185 | − | 20.5019i | 1.14160 | − | 0.829419i | ||||
\(612\) | −0.243740 | − | 0.241368i | −0.00985259 | − | 0.00975671i | ||||
\(613\) | 6.32812 | + | 2.05613i | 0.255590 | + | 0.0830464i | 0.434010 | − | 0.900908i | \(-0.357098\pi\) |
−0.178419 | + | 0.983955i | \(0.557098\pi\) | |||||||
\(614\) | 1.23584 | + | 2.96307i | 0.0498745 | + | 0.119580i | ||||
\(615\) | −5.77894 | −0.233029 | ||||||||
\(616\) | −2.72470 | + | 15.0305i | −0.109781 | + | 0.605596i | ||||
\(617\) | −17.8948 | −0.720416 | −0.360208 | − | 0.932872i | \(-0.617294\pi\) | ||||
−0.360208 | + | 0.932872i | \(0.617294\pi\) | |||||||
\(618\) | −4.16178 | − | 9.97836i | −0.167411 | − | 0.401388i | ||||
\(619\) | −22.1005 | − | 7.18088i | −0.888293 | − | 0.288624i | −0.170897 | − | 0.985289i | \(-0.554666\pi\) |
−0.717397 | + | 0.696665i | \(0.754666\pi\) | |||||||
\(620\) | 7.07839 | + | 7.00951i | 0.284275 | + | 0.281509i | ||||
\(621\) | 17.3452 | − | 12.6020i | 0.696037 | − | 0.505700i | ||||
\(622\) | −2.30714 | − | 28.4263i | −0.0925077 | − | 1.13979i | ||||
\(623\) | 2.71579 | + | 8.35835i | 0.108806 | + | 0.334870i | ||||
\(624\) | −6.27776 | − | 8.46527i | −0.251312 | − | 0.338882i | ||||
\(625\) | −0.835407 | − | 0.606959i | −0.0334163 | − | 0.0242784i | ||||
\(626\) | −1.86201 | − | 1.13479i | −0.0744208 | − | 0.0453552i | ||||
\(627\) | 13.1197 | − | 14.4715i | 0.523950 | − | 0.577935i | ||||
\(628\) | −4.86001 | − | 9.42411i | −0.193935 | − | 0.376063i | ||||
\(629\) | −0.282881 | + | 0.389352i | −0.0112792 | + | 0.0155245i | ||||
\(630\) | −5.77619 | + | 4.95781i | −0.230129 | + | 0.197524i | ||||
\(631\) | −44.0545 | + | 14.3142i | −1.75378 | + | 0.569838i | −0.996526 | − | 0.0832806i | \(-0.973460\pi\) |
−0.757255 | + | 0.653119i | \(0.773460\pi\) | |||||||
\(632\) | 8.97979 | + | 14.4153i | 0.357197 | + | 0.573410i | ||||
\(633\) | −1.19417 | − | 1.64363i | −0.0474639 | − | 0.0653284i | ||||
\(634\) | −5.51022 | + | 23.2014i | −0.218839 | + | 0.921446i | ||||
\(635\) | −4.28864 | + | 13.1991i | −0.170190 | + | 0.523790i | ||||
\(636\) | 5.69241 | + | 0.873082i | 0.225719 | + | 0.0346199i | ||||
\(637\) | 15.4683i | 0.612877i | ||||||||
\(638\) | 10.4429 | + | 15.2258i | 0.413437 | + | 0.602794i | ||||
\(639\) | − | 17.0999i | − | 0.676462i | ||||||
\(640\) | 3.81465 | + | 14.7709i | 0.150787 | + | 0.583873i | ||||
\(641\) | 8.39773 | − | 25.8456i | 0.331691 | − | 1.02084i | −0.636639 | − | 0.771162i | \(-0.719676\pi\) |
0.968329 | − | 0.249676i | \(-0.0803242\pi\) | |||||||
\(642\) | −11.2890 | − | 2.68108i | −0.445542 | − | 0.105814i | ||||
\(643\) | −18.2352 | − | 25.0987i | −0.719128 | − | 0.989794i | −0.999552 | − | 0.0299182i | \(-0.990475\pi\) |
0.280425 | − | 0.959876i | \(-0.409525\pi\) | |||||||
\(644\) | 7.77537 | − | 15.4463i | 0.306393 | − | 0.608668i | ||||
\(645\) | 1.80013 | − | 0.584897i | 0.0708800 | − | 0.0230303i | ||||
\(646\) | 0.512430 | + | 0.597017i | 0.0201613 | + | 0.0234893i | ||||
\(647\) | −24.7877 | + | 34.1173i | −0.974505 | + | 1.34129i | −0.0347664 | + | 0.999395i | \(0.511069\pi\) |
−0.939738 | + | 0.341895i | \(0.888931\pi\) | |||||||
\(648\) | 0.878082 | − | 12.3107i | 0.0344943 | − | 0.483611i | ||||
\(649\) | 15.7831 | − | 3.29867i | 0.619541 | − | 0.129484i | ||||
\(650\) | 8.33001 | − | 13.6682i | 0.326730 | − | 0.536112i | ||||
\(651\) | 3.60431 | + | 2.61868i | 0.141264 | + | 0.102634i | ||||
\(652\) | −3.24380 | − | 19.8518i | −0.127037 | − | 0.777458i | ||||
\(653\) | −1.25077 | − | 3.84947i | −0.0489464 | − | 0.150641i | 0.923596 | − | 0.383367i | \(-0.125236\pi\) |
−0.972542 | + | 0.232726i | \(0.925236\pi\) | |||||||
\(654\) | −9.35391 | + | 0.759181i | −0.365767 | + | 0.0296863i | ||||
\(655\) | −2.03744 | + | 1.48028i | −0.0796093 | + | 0.0578395i | ||||
\(656\) | 6.93661 | − | 22.0811i | 0.270829 | − | 0.862121i | ||||
\(657\) | 23.5991 | + | 7.66780i | 0.920687 | + | 0.299149i | ||||
\(658\) | −20.8404 | + | 8.69211i | −0.812442 | + | 0.338854i | ||||
\(659\) | 6.46292 | 0.251760 | 0.125880 | − | 0.992045i | \(-0.459825\pi\) | ||||
0.125880 | + | 0.992045i | \(0.459825\pi\) | |||||||
\(660\) | 3.59992 | − | 5.56143i | 0.140127 | − | 0.216479i | ||||
\(661\) | 26.6232 | 1.03552 | 0.517761 | − | 0.855525i | \(-0.326766\pi\) | ||||
0.517761 | + | 0.855525i | \(0.326766\pi\) | |||||||
\(662\) | −44.3435 | + | 18.4948i | −1.72346 | + | 0.718821i | ||||
\(663\) | −0.175320 | − | 0.0569648i | −0.00680885 | − | 0.00221233i | ||||
\(664\) | 9.91605 | − | 2.45769i | 0.384817 | − | 0.0953767i | ||||
\(665\) | 14.1249 | − | 10.2623i | 0.547740 | − | 0.397956i | ||||
\(666\) | −23.7686 | + | 1.92911i | −0.921015 | + | 0.0747514i | ||||
\(667\) | −6.45884 | − | 19.8783i | −0.250087 | − | 0.769690i | ||||
\(668\) | −43.2418 | + | 7.06572i | −1.67308 | + | 0.273381i | ||||
\(669\) | −14.2169 | − | 10.3292i | −0.549659 | − | 0.399350i | ||||
\(670\) | −4.87569 | + | 8.00023i | −0.188364 | + | 0.309076i | ||||
\(671\) | 2.21895 | + | 3.87374i | 0.0856616 | + | 0.149544i | ||||
\(672\) | 2.68778 | + | 6.27096i | 0.103683 | + | 0.241908i | ||||
\(673\) | −4.89033 | + | 6.73096i | −0.188508 | + | 0.259460i | −0.892802 | − | 0.450449i | \(-0.851264\pi\) |
0.704294 | + | 0.709909i | \(0.251264\pi\) | |||||||
\(674\) | −15.7466 | − | 18.3459i | −0.606536 | − | 0.706657i | ||||
\(675\) | −12.2183 | + | 3.96998i | −0.470284 | + | 0.152805i | ||||
\(676\) | −0.618256 | − | 0.311219i | −0.0237791 | − | 0.0119700i | ||||
\(677\) | −8.97132 | − | 12.3480i | −0.344796 | − | 0.474571i | 0.601039 | − | 0.799220i | \(-0.294754\pi\) |
−0.945834 | + | 0.324649i | \(0.894754\pi\) | |||||||
\(678\) | −11.2339 | − | 2.66799i | −0.431435 | − | 0.102464i | ||||
\(679\) | −3.68652 | + | 11.3459i | −0.141476 | + | 0.435417i | ||||
\(680\) | 0.204173 | + | 0.171806i | 0.00782967 | + | 0.00658848i | ||||
\(681\) | 0.593162i | 0.0227300i | ||||||||
\(682\) | 16.3265 | + | 5.79918i | 0.625174 | + | 0.222062i | ||||
\(683\) | − | 32.9156i | − | 1.25948i | −0.776806 | − | 0.629740i | \(-0.783161\pi\) | ||
0.776806 | − | 0.629740i | \(-0.216839\pi\) | |||||||
\(684\) | −5.91023 | + | 38.5342i | −0.225983 | + | 1.47339i | ||||
\(685\) | 0.522718 | − | 1.60876i | 0.0199720 | − | 0.0614676i | ||||
\(686\) | 6.03868 | − | 25.4266i | 0.230558 | − | 0.970792i | ||||
\(687\) | −10.2696 | − | 14.1349i | −0.391811 | − | 0.539282i | ||||
\(688\) | 0.0741263 | + | 7.58027i | 0.00282604 | + | 0.288995i | ||||
\(689\) | −13.1524 | + | 4.27349i | −0.501068 | + | 0.162807i | ||||
\(690\) | −5.69098 | + | 4.88467i | −0.216652 | + | 0.185956i | ||||
\(691\) | 26.7545 | − | 36.8244i | 1.01779 | − | 1.40087i | 0.104047 | − | 0.994572i | \(-0.466821\pi\) |
0.913742 | − | 0.406294i | \(-0.133179\pi\) | |||||||
\(692\) | 21.0324 | − | 10.8464i | 0.799531 | − | 0.412318i | ||||
\(693\) | −5.42604 | + | 12.0762i | −0.206118 | + | 0.458739i | ||||
\(694\) | 3.01794 | + | 1.83926i | 0.114559 | + | 0.0698175i | ||||
\(695\) | −6.86294 | − | 4.98622i | −0.260326 | − | 0.189138i | ||||
\(696\) | 7.64156 | + | 3.09978i | 0.289652 | + | 0.117497i | ||||
\(697\) | −0.125102 | − | 0.385024i | −0.00473857 | − | 0.0145838i | ||||
\(698\) | −0.802118 | − | 9.88293i | −0.0303606 | − | 0.374074i | ||||
\(699\) | −10.4812 | + | 7.61507i | −0.396437 | + | 0.288028i | ||||
\(700\) | −7.29129 | + | 7.36294i | −0.275585 | + | 0.278293i | ||||
\(701\) | −47.6330 | − | 15.4769i | −1.79907 | − | 0.584555i | −0.799210 | − | 0.601052i | \(-0.794748\pi\) |
−0.999864 | + | 0.0164975i | \(0.994748\pi\) | |||||||
\(702\) | −7.81911 | − | 18.7473i | −0.295113 | − | 0.707569i | ||||
\(703\) | 54.6955 | 2.06288 | ||||||||
\(704\) | 16.9289 | + | 20.4307i | 0.638033 | + | 0.770009i | ||||
\(705\) | 9.79298 | 0.368825 | ||||||||
\(706\) | 9.76804 | + | 23.4200i | 0.367625 | + | 0.881425i | ||||
\(707\) | 14.8249 | + | 4.81691i | 0.557548 | + | 0.181158i | ||||
\(708\) | 5.06744 | − | 5.11724i | 0.190446 | − | 0.192318i | ||||
\(709\) | 6.87556 | − | 4.99539i | 0.258217 | − | 0.187606i | −0.451144 | − | 0.892451i | \(-0.648984\pi\) |
0.709361 | + | 0.704846i | \(0.248984\pi\) | |||||||
\(710\) | 1.07608 | + | 13.2584i | 0.0403846 | + | 0.497580i | ||||
\(711\) | 4.54860 | + | 13.9991i | 0.170586 | + | 0.525009i | ||||
\(712\) | 14.1458 | + | 5.73820i | 0.530136 | + | 0.215048i | ||||
\(713\) | −15.8681 | − | 11.5289i | −0.594266 | − | 0.431759i | ||||
\(714\) | 0.101905 | + | 0.0621052i | 0.00381369 | + | 0.00232423i | ||||
\(715\) | −1.71677 | + | 15.8157i | −0.0642036 | + | 0.591474i | ||||
\(716\) | 1.65966 | − | 0.855885i | 0.0620243 | − | 0.0319859i | ||||
\(717\) | −2.91036 | + | 4.00576i | −0.108689 | + | 0.149598i | ||||
\(718\) | −10.3873 | + | 8.91561i | −0.387651 | + | 0.332728i | ||||
\(719\) | −6.94019 | + | 2.25500i | −0.258825 | + | 0.0840974i | −0.435555 | − | 0.900162i | \(-0.643448\pi\) |
0.176730 | + | 0.984259i | \(0.443448\pi\) | |||||||
\(720\) | 0.129290 | + | 13.2214i | 0.00481834 | + | 0.492732i | ||||
\(721\) | −9.87901 | − | 13.5973i | −0.367914 | − | 0.506390i | ||||
\(722\) | 14.4524 | − | 60.8537i | 0.537864 | − | 2.26474i | ||||
\(723\) | 0.981112 | − | 3.01955i | 0.0364879 | − | 0.112298i | ||||
\(724\) | 5.71226 | − | 37.2434i | 0.212294 | − | 1.38414i | ||||
\(725\) | 12.5244i | 0.465146i | ||||||||
\(726\) | 1.55381 | − | 11.4170i | 0.0576674 | − | 0.423723i | ||||
\(727\) | − | 1.85004i | − | 0.0686140i | −0.999411 | − | 0.0343070i | \(-0.989078\pi\) | ||
0.999411 | − | 0.0343070i | \(-0.0109224\pi\) | |||||||
\(728\) | −12.5359 | − | 10.5487i | −0.464612 | − | 0.390960i | ||||
\(729\) | 0.533026 | − | 1.64049i | 0.0197417 | − | 0.0607587i | ||||
\(730\) | −18.7801 | − | 4.46017i | −0.695082 | − | 0.165078i | ||||
\(731\) | 0.0779378 | + | 0.107272i | 0.00288264 | + | 0.00396761i | ||||
\(732\) | 1.78101 | + | 0.896530i | 0.0658282 | + | 0.0331367i | ||||
\(733\) | 17.9690 | − | 5.83849i | 0.663701 | − | 0.215650i | 0.0422555 | − | 0.999107i | \(-0.486546\pi\) |
0.621446 | + | 0.783457i | \(0.286546\pi\) | |||||||
\(734\) | 28.5049 | + | 33.2102i | 1.05214 | + | 1.22581i | ||||
\(735\) | −2.55271 | + | 3.51350i | −0.0941580 | + | 0.129597i | ||||
\(736\) | −11.8331 | − | 27.6082i | −0.436173 | − | 1.01765i | ||||
\(737\) | −1.75843 | + | 16.1995i | −0.0647728 | + | 0.596717i | ||||
\(738\) | 10.4394 | − | 17.1293i | 0.384278 | − | 0.630540i | ||||
\(739\) | 12.7166 | + | 9.23916i | 0.467788 | + | 0.339868i | 0.796579 | − | 0.604535i | \(-0.206641\pi\) |
−0.328791 | + | 0.944403i | \(0.606641\pi\) | |||||||
\(740\) | 18.3076 | − | 2.99147i | 0.673002 | − | 0.109969i | ||||
\(741\) | 6.47402 | + | 19.9250i | 0.237829 | + | 0.731963i | ||||
\(742\) | 8.92339 | − | 0.724240i | 0.327588 | − | 0.0265877i | ||||
\(743\) | 4.69746 | − | 3.41290i | 0.172333 | − | 0.125207i | −0.498275 | − | 0.867019i | \(-0.666033\pi\) |
0.670608 | + | 0.741812i | \(0.266033\pi\) | |||||||
\(744\) | 7.51123 | − | 1.86165i | 0.275375 | − | 0.0682515i | ||||
\(745\) | −22.0008 | − | 7.14848i | −0.806045 | − | 0.261900i | ||||
\(746\) | −6.43034 | + | 2.68197i | −0.235432 | + | 0.0981940i | ||||
\(747\) | 8.85428 | 0.323961 | ||||||||
\(748\) | 0.448463 | + | 0.119452i | 0.0163974 | + | 0.00436761i | ||||
\(749\) | −18.0377 | −0.659083 | ||||||||
\(750\) | 10.6657 | − | 4.44844i | 0.389455 | − | 0.162434i | ||||
\(751\) | 2.85643 | + | 0.928110i | 0.104233 | + | 0.0338672i | 0.360669 | − | 0.932694i | \(-0.382548\pi\) |
−0.256436 | + | 0.966561i | \(0.582548\pi\) | |||||||
\(752\) | −11.7548 | + | 37.4185i | −0.428652 | + | 1.36451i | ||||
\(753\) | −2.93478 | + | 2.13224i | −0.106949 | + | 0.0777033i | ||||
\(754\) | −19.7374 | + | 1.60192i | −0.718793 | + | 0.0583387i | ||||
\(755\) | −5.06615 | − | 15.5920i | −0.184376 | − | 0.567451i | ||||
\(756\) | 2.12056 | + | 12.9777i | 0.0771239 | + | 0.471994i | ||||
\(757\) | 21.1049 | + | 15.3336i | 0.767071 | + | 0.557310i | 0.901071 | − | 0.433672i | \(-0.142782\pi\) |
−0.134000 | + | 0.990981i | \(0.542782\pi\) | |||||||
\(758\) | −2.96241 | + | 4.86085i | −0.107600 | + | 0.176554i | ||||
\(759\) | −5.34600 | + | 11.8981i | −0.194047 | + | 0.431874i | ||||
\(760\) | 2.15759 | − | 30.2495i | 0.0782639 | − | 1.09726i | ||||
\(761\) | −18.7813 | + | 25.8502i | −0.680820 | + | 0.937068i | −0.999943 | − | 0.0106450i | \(-0.996612\pi\) |
0.319123 | + | 0.947713i | \(0.396612\pi\) | |||||||
\(762\) | 7.02169 | + | 8.18077i | 0.254369 | + | 0.296358i | ||||
\(763\) | −13.8751 | + | 4.50828i | −0.502311 | + | 0.163211i | ||||
\(764\) | 18.3845 | − | 36.5220i | 0.665128 | − | 1.32132i | ||||
\(765\) | 0.135938 | + | 0.187102i | 0.00491484 | + | 0.00676470i | ||||
\(766\) | 16.4960 | + | 3.91772i | 0.596026 | + | 0.141553i | ||||
\(767\) | −5.34410 | + | 16.4474i | −0.192964 | + | 0.593883i | ||||
\(768\) | 11.3402 | + | 3.44099i | 0.409206 | + | 0.124166i | ||||
\(769\) | − | 22.3560i | − | 0.806176i | −0.915161 | − | 0.403088i | \(-0.867937\pi\) | ||
0.915161 | − | 0.403088i | \(-0.132063\pi\) | |||||||
\(770\) | 3.44714 | − | 9.70479i | 0.124226 | − | 0.349736i | ||||
\(771\) | 9.17275i | 0.330348i | ||||||||
\(772\) | −34.2810 | − | 5.25790i | −1.23380 | − | 0.189236i | ||||
\(773\) | 1.56889 | − | 4.82855i | 0.0564291 | − | 0.173671i | −0.918869 | − | 0.394562i | \(-0.870896\pi\) |
0.975299 | + | 0.220891i | \(0.0708964\pi\) | |||||||
\(774\) | −1.51815 | + | 6.39234i | −0.0545687 | + | 0.229768i | ||||
\(775\) | 6.90832 | + | 9.50848i | 0.248154 | + | 0.341555i | ||||
\(776\) | 10.9564 | + | 17.5883i | 0.393310 | + | 0.631383i | ||||
\(777\) | 7.89020 | − | 2.56368i | 0.283059 | − | 0.0919715i | ||||
\(778\) | −14.7416 | + | 12.6530i | −0.528513 | + | 0.453632i | ||||
\(779\) | −27.0438 | + | 37.2225i | −0.968943 | + | 1.33364i | ||||
\(780\) | 3.25674 | + | 6.31519i | 0.116610 | + | 0.226120i | ||||
\(781\) | 11.4994 | + | 20.0751i | 0.411480 | + | 0.718343i | ||||
\(782\) | −0.448640 | − | 0.273421i | −0.0160433 | − | 0.00977750i | ||||
\(783\) | 12.8582 | + | 9.34206i | 0.459516 | + | 0.333858i | ||||
\(784\) | −10.3608 | − | 13.9711i | −0.370030 | − | 0.498969i | ||||
\(785\) | 2.20914 | + | 6.79904i | 0.0788476 | + | 0.242668i | ||||
\(786\) | 0.158261 | + | 1.94994i | 0.00564497 | + | 0.0695520i | ||||
\(787\) | 2.38155 | − | 1.73029i | 0.0848930 | − | 0.0616783i | −0.544529 | − | 0.838742i | \(-0.683292\pi\) |
0.629422 | + | 0.777064i | \(0.283292\pi\) | |||||||
\(788\) | 4.96157 | + | 4.91329i | 0.176749 | + | 0.175029i | ||||
\(789\) | −11.9392 | − | 3.87928i | −0.425046 | − | 0.138106i | ||||
\(790\) | −4.40771 | − | 10.5680i | −0.156819 | − | 0.375993i | ||||
\(791\) | −17.9496 | −0.638215 | ||||||||
\(792\) | 9.98157 | + | 20.7169i | 0.354680 | + | 0.736145i | ||||
\(793\) | −4.78812 | −0.170031 | ||||||||
\(794\) | −6.61688 | − | 15.8648i | −0.234824 | − | 0.563019i | ||||
\(795\) | −3.69271 | − | 1.19983i | −0.130967 | − | 0.0425537i | ||||
\(796\) | −16.0102 | − | 15.8544i | −0.567468 | − | 0.561946i | ||||
\(797\) | −6.06111 | + | 4.40365i | −0.214695 | + | 0.155985i | −0.689936 | − | 0.723871i | \(-0.742361\pi\) |
0.475240 | + | 0.879856i | \(0.342361\pi\) | |||||||
\(798\) | −1.09717 | − | 13.5183i | −0.0388394 | − | 0.478542i | ||||
\(799\) | 0.211997 | + | 0.652460i | 0.00749992 | + | 0.0230824i | ||||
\(800\) | 1.63139 | + | 17.9248i | 0.0576783 | + | 0.633737i | ||||
\(801\) | 10.7037 | + | 7.77668i | 0.378196 | + | 0.274775i | ||||
\(802\) | 34.7558 | + | 21.1817i | 1.22727 | + | 0.747952i | ||||
\(803\) | −32.8615 | + | 6.86804i | −1.15966 | + | 0.242368i | ||||
\(804\) | 3.33578 | + | 6.46845i | 0.117644 | + | 0.228125i | ||||
\(805\) | −6.85298 | + | 9.43231i | −0.241536 | + | 0.332445i | ||||
\(806\) | −14.1009 | + | 12.1031i | −0.496684 | + | 0.426312i | ||||
\(807\) | 2.78583 | − | 0.905170i | 0.0980658 | − | 0.0318635i | ||||
\(808\) | 22.9814 | − | 14.3159i | 0.808482 | − | 0.503631i | ||||
\(809\) | 23.4091 | + | 32.2199i | 0.823022 | + | 1.13279i | 0.989182 | + | 0.146694i | \(0.0468631\pi\) |
−0.166160 | + | 0.986099i | \(0.553137\pi\) | |||||||
\(810\) | −1.92273 | + | 8.09588i | −0.0675578 | + | 0.284460i | ||||
\(811\) | 13.1790 | − | 40.5607i | 0.462777 | − | 1.42428i | −0.398981 | − | 0.916959i | \(-0.630636\pi\) |
0.861757 | − | 0.507321i | \(-0.169364\pi\) | |||||||
\(812\) | 12.6713 | + | 1.94348i | 0.444676 | + | 0.0682028i | ||||
\(813\) | 17.5818i | 0.616619i | ||||||||
\(814\) | 26.6068 | − | 18.2487i | 0.932567 | − | 0.639617i | ||||
\(815\) | 13.5617i | 0.475047i | ||||||||
\(816\) | 0.196506 | − | 0.0659799i | 0.00687908 | − | 0.00230976i | ||||
\(817\) | 4.65671 | − | 14.3319i | 0.162918 | − | 0.501409i | ||||
\(818\) | 26.0813 | + | 6.19417i | 0.911911 | + | 0.216574i | ||||
\(819\) | −8.34638 | − | 11.4878i | −0.291646 | − | 0.401416i | ||||
\(820\) | −7.01624 | + | 13.9382i | −0.245018 | + | 0.486743i | ||||
\(821\) | −18.3658 | + | 5.96742i | −0.640972 | + | 0.208264i | −0.611429 | − | 0.791299i | \(-0.709405\pi\) |
−0.0295426 | + | 0.999564i | \(0.509405\pi\) | |||||||
\(822\) | −0.855834 | − | 0.997106i | −0.0298506 | − | 0.0347781i | ||||
\(823\) | −5.83041 | + | 8.02487i | −0.203235 | + | 0.279729i | −0.898453 | − | 0.439070i | \(-0.855308\pi\) |
0.695218 | + | 0.718799i | \(0.255308\pi\) | |||||||
\(824\) | −29.1196 | − | 2.07700i | −1.01443 | − | 0.0723557i | ||||
\(825\) | 5.24979 | − | 5.79071i | 0.182774 | − | 0.201607i | ||||
\(826\) | 5.82633 | − | 9.56010i | 0.202724 | − | 0.332638i | ||||
\(827\) | 35.2981 | + | 25.6455i | 1.22743 | + | 0.891783i | 0.996695 | − | 0.0812332i | \(-0.0258859\pi\) |
0.230738 | + | 0.973016i | \(0.425886\pi\) | |||||||
\(828\) | −4.19817 | − | 25.6925i | −0.145896 | − | 0.892877i | ||||
\(829\) | −8.69871 | − | 26.7719i | −0.302119 | − | 0.929826i | −0.980737 | − | 0.195335i | \(-0.937421\pi\) |
0.678618 | − | 0.734491i | \(-0.262579\pi\) | |||||||
\(830\) | −6.86518 | + | 0.557191i | −0.238294 | + | 0.0193404i | ||||
\(831\) | 8.99492 | − | 6.53519i | 0.312030 | − | 0.226703i | ||||
\(832\) | −28.0392 | + | 4.86357i | −0.972084 | + | 0.168614i | ||||
\(833\) | −0.289348 | − | 0.0940150i | −0.0100253 | − | 0.00325743i | ||||
\(834\) | −6.08200 | + | 2.53669i | −0.210603 | + | 0.0878382i | ||||
\(835\) | 29.5406 | 1.02229 | ||||||||
\(836\) | −18.9750 | − | 49.2132i | −0.656264 | − | 1.70207i | ||||
\(837\) | 14.9149 | 0.515533 | ||||||||
\(838\) | 20.0621 | − | 8.36753i | 0.693035 | − | 0.289051i | ||||
\(839\) | 33.2421 | + | 10.8010i | 1.14764 | + | 0.372892i | 0.820255 | − | 0.571998i | \(-0.193831\pi\) |
0.327388 | + | 0.944890i | \(0.393831\pi\) | |||||||
\(840\) | −1.10660 | − | 4.46482i | −0.0381814 | − | 0.154051i | ||||
\(841\) | −10.9262 | + | 7.93837i | −0.376767 | + | 0.273737i | ||||
\(842\) | 27.2342 | − | 2.21038i | 0.938554 | − | 0.0761749i | ||||
\(843\) | −1.31409 | − | 4.04435i | −0.0452596 | − | 0.139295i | ||||
\(844\) | −5.41410 | + | 0.884666i | −0.186361 | + | 0.0304515i | ||||
\(845\) | 0.377540 | + | 0.274299i | 0.0129878 | + | 0.00943617i | ||||
\(846\) | −17.6905 | + | 29.0273i | −0.608212 | + | 0.997980i | ||||
\(847\) | −1.75095 | − | 17.8263i | −0.0601634 | − | 0.612518i | ||||
\(848\) | 9.01697 | − | 12.6695i | 0.309644 | − | 0.435072i | ||||
\(849\) | 4.87374 | − | 6.70812i | 0.167266 | − | 0.230222i | ||||
\(850\) | 0.205047 | + | 0.238894i | 0.00703306 | + | 0.00819400i | ||||
\(851\) | −34.7369 | + | 11.2867i | −1.19077 | + | 0.386903i | ||||
\(852\) | 9.22984 | + | 4.64613i | 0.316209 | + | 0.159174i | ||||
\(853\) | −15.9973 | − | 22.0183i | −0.547736 | − | 0.753894i | 0.441967 | − | 0.897031i | \(-0.354281\pi\) |
−0.989703 | + | 0.143138i | \(0.954281\pi\) | |||||||
\(854\) | 3.01582 | + | 0.716242i | 0.103199 | + | 0.0245093i | ||||
\(855\) | 8.12215 | − | 24.9974i | 0.277772 | − | 0.854893i | ||||
\(856\) | −20.1725 | + | 23.9728i | −0.689483 | + | 0.819374i | ||||
\(857\) | − | 37.5541i | − | 1.28282i | −0.767197 | − | 0.641412i | \(-0.778349\pi\) | ||
0.767197 | − | 0.641412i | \(-0.221651\pi\) | |||||||
\(858\) | 9.79711 | + | 7.53255i | 0.334468 | + | 0.257157i | ||||
\(859\) | 4.50293i | 0.153638i | 0.997045 | + | 0.0768190i | \(0.0244764\pi\) | ||||
−0.997045 | + | 0.0768190i | \(0.975524\pi\) | |||||||
\(860\) | 0.774833 | − | 5.05184i | 0.0264216 | − | 0.172266i | ||||
\(861\) | −2.15655 | + | 6.63719i | −0.0734952 | + | 0.226195i | ||||
\(862\) | 8.85701 | − | 37.2935i | 0.301671 | − | 1.27022i | ||||
\(863\) | −10.6014 | − | 14.5915i | −0.360875 | − | 0.496702i | 0.589517 | − | 0.807756i | \(-0.299318\pi\) |
−0.950392 | + | 0.311054i | \(0.899318\pi\) | |||||||
\(864\) | 19.6194 | + | 11.6953i | 0.667465 | + | 0.397884i | ||||
\(865\) | −15.1738 | + | 4.93028i | −0.515926 | + | 0.167634i | ||||
\(866\) | −4.67470 | + | 4.01237i | −0.158853 | + | 0.136346i | ||||
\(867\) | −7.39896 | + | 10.1838i | −0.251282 | + | 0.345860i | ||||
\(868\) | 10.6920 | − | 5.51386i | 0.362910 | − | 0.187152i | ||||
\(869\) | −14.7542 | − | 13.3760i | −0.500501 | − | 0.453749i | ||||
\(870\) | −4.74754 | − | 2.89336i | −0.160957 | − | 0.0980940i | ||||
\(871\) | −14.1390 | − | 10.2726i | −0.479083 | − | 0.348074i | ||||
\(872\) | −9.52555 | + | 23.4824i | −0.322576 | + | 0.795213i | ||||
\(873\) | 5.54980 | + | 17.0805i | 0.187832 | + | 0.578089i | ||||
\(874\) | 4.83034 | + | 59.5148i | 0.163389 | + | 2.01312i | ||||
\(875\) | 14.5339 | − | 10.5595i | 0.491335 | − | 0.356976i | ||||
\(876\) | −10.5508 | + | 10.6544i | −0.356477 | + | 0.359980i | ||||
\(877\) | −12.9541 | − | 4.20903i | −0.437428 | − | 0.142129i | 0.0820206 | − | 0.996631i | \(-0.473863\pi\) |
−0.519449 | + | 0.854502i | \(0.673863\pi\) | |||||||
\(878\) | −13.1195 | − | 31.4556i | −0.442762 | − | 1.06158i | ||||
\(879\) | −3.92773 | −0.132479 | ||||||||
\(880\) | −9.04292 | − | 15.4348i | −0.304837 | − | 0.520306i | ||||
\(881\) | 5.44549 | 0.183463 | 0.0917317 | − | 0.995784i | \(-0.470760\pi\) | ||||
0.0917317 | + | 0.995784i | \(0.470760\pi\) | |||||||
\(882\) | −5.80302 | − | 13.9134i | −0.195398 | − | 0.468489i | ||||
\(883\) | 26.8480 | + | 8.72345i | 0.903508 | + | 0.293568i | 0.723684 | − | 0.690131i | \(-0.242447\pi\) |
0.179824 | + | 0.983699i | \(0.442447\pi\) | |||||||
\(884\) | −0.350250 | + | 0.353691i | −0.0117802 | + | 0.0118959i | ||||
\(885\) | −3.92816 | + | 2.85397i | −0.132044 | + | 0.0959352i | ||||
\(886\) | −2.63642 | − | 32.4835i | −0.0885723 | − | 1.09130i | ||||
\(887\) | −13.1145 | − | 40.3623i | −0.440342 | − | 1.35523i | −0.887512 | − | 0.460784i | \(-0.847568\pi\) |
0.447171 | − | 0.894449i | \(-0.352432\pi\) | |||||||
\(888\) | 5.41680 | − | 13.3535i | 0.181776 | − | 0.448114i | ||||
\(889\) | 13.5589 | + | 9.85113i | 0.454751 | + | 0.330396i | ||||
\(890\) | −8.78849 | − | 5.35608i | −0.294591 | − | 0.179536i | ||||
\(891\) | 2.96073 | + | 14.1662i | 0.0991883 | + | 0.474586i | ||||
\(892\) | −42.1738 | + | 21.7490i | −1.41208 | + | 0.728211i | ||||
\(893\) | 45.8283 | − | 63.0772i | 1.53358 | − | 2.11080i | ||||
\(894\) | −13.6360 | + | 11.7040i | −0.456057 | + | 0.391441i | ||||
\(895\) | −1.19736 | + | 0.389047i | −0.0400234 | + | 0.0130044i | ||||
\(896\) | 18.3881 | + | 1.13096i | 0.614305 | + | 0.0377827i | ||||
\(897\) | −8.22325 | − | 11.3183i | −0.274566 | − | 0.377908i | ||||
\(898\) | −1.23310 | + | 5.19210i | −0.0411489 | + | 0.173263i | ||||
\(899\) | 4.49318 | − | 13.8286i | 0.149856 | − | 0.461209i | ||||
\(900\) | −2.36496 | + | 15.4193i | −0.0788320 | + | 0.513977i | ||||
\(901\) | − | 0.272002i | − | 0.00906169i | ||||||
\(902\) | −0.736506 | + | 27.1299i | −0.0245230 | + | 0.903327i | ||||
\(903\) | − | 2.28574i | − | 0.0760646i | ||||||
\(904\) | −20.0740 | + | 23.8558i | −0.667653 | + | 0.793430i | ||||
\(905\) | −7.85008 | + | 24.1601i | −0.260946 | + | 0.803108i | ||||
\(906\) | −12.3908 | − | 2.94276i | −0.411658 | − | 0.0977666i | ||||
\(907\) | −20.3902 | − | 28.0647i | −0.677046 | − | 0.931873i | 0.322848 | − | 0.946451i | \(-0.395360\pi\) |
−0.999894 | + | 0.0145776i | \(0.995360\pi\) | |||||||
\(908\) | 1.43064 | + | 0.720161i | 0.0474776 | + | 0.0238994i | ||||
\(909\) | 22.3179 | − | 7.25153i | 0.740238 | − | 0.240518i | ||||
\(910\) | 7.19429 | + | 8.38185i | 0.238488 | + | 0.277856i | ||||
\(911\) | 17.4380 | − | 24.0014i | 0.577748 | − | 0.795202i | −0.415698 | − | 0.909503i | \(-0.636463\pi\) |
0.993446 | + | 0.114300i | \(0.0364627\pi\) | |||||||
\(912\) | −19.1933 | − | 13.6600i | −0.635555 | − | 0.452329i | ||||
\(913\) | −10.3948 | + | 5.95434i | −0.344018 | + | 0.197060i | ||||
\(914\) | −25.9483 | + | 42.5771i | −0.858294 | + | 1.40833i | ||||
\(915\) | −1.08758 | − | 0.790174i | −0.0359543 | − | 0.0261224i | ||||
\(916\) | −46.5604 | + | 7.60798i | −1.53840 | + | 0.251375i | ||||
\(917\) | 0.939807 | + | 2.89243i | 0.0310352 | + | 0.0955164i | ||||
\(918\) | 0.398207 | − | 0.0323193i | 0.0131428 | − | 0.00106670i | ||||
\(919\) | −17.4823 | + | 12.7016i | −0.576687 | + | 0.418988i | −0.837528 | − | 0.546394i | \(-0.816000\pi\) |
0.260841 | + | 0.965382i | \(0.416000\pi\) | |||||||
\(920\) | 4.87186 | + | 19.6565i | 0.160620 | + | 0.648057i | ||||
\(921\) | −1.59915 | − | 0.519594i | −0.0526936 | − | 0.0171212i | ||||
\(922\) | 50.2612 | − | 20.9630i | 1.65527 | − | 0.690379i | ||||
\(923\) | −24.8137 | −0.816754 | ||||||||
\(924\) | −5.04398 | − | 6.20994i | −0.165935 | − | 0.204292i | ||||
\(925\) | 21.8862 | 0.719614 | ||||||||
\(926\) | 14.0537 | − | 5.86154i | 0.461834 | − | 0.192622i | ||||
\(927\) | −24.0637 | − | 7.81877i | −0.790356 | − | 0.256802i | ||||
\(928\) | 16.7540 | − | 14.6672i | 0.549976 | − | 0.481474i | ||||
\(929\) | −38.2024 | + | 27.7557i | −1.25338 | + | 0.910635i | −0.998413 | − | 0.0563145i | \(-0.982065\pi\) |
−0.254968 | + | 0.966949i | \(0.582065\pi\) | |||||||
\(930\) | −5.20025 | + | 0.422062i | −0.170523 | + | 0.0138400i | ||||
\(931\) | 10.6848 | + | 32.8843i | 0.350179 | + | 1.07774i | ||||
\(932\) | 5.64142 | + | 34.5251i | 0.184791 | + | 1.13091i | ||||
\(933\) | 12.0842 | + | 8.77967i | 0.395618 | + | 0.287433i | ||||
\(934\) | −15.2199 | + | 24.9734i | −0.498009 | + | 0.817154i | ||||
\(935\) | −0.285412 | − | 0.128240i | −0.00933397 | − | 0.00419390i | ||||
\(936\) | −24.6020 | − | 1.75477i | −0.804140 | − | 0.0573565i | ||||
\(937\) | 27.2659 | − | 37.5283i | 0.890738 | − | 1.22600i | −0.0825914 | − | 0.996583i | \(-0.526320\pi\) |
0.973329 | − | 0.229412i | \(-0.0736804\pi\) | |||||||
\(938\) | 7.36889 | + | 8.58527i | 0.240603 | + | 0.280319i | ||||
\(939\) | 1.08614 | − | 0.352908i | 0.0354449 | − | 0.0115167i | ||||
\(940\) | 11.8897 | − | 23.6196i | 0.387799 | − | 0.770387i | ||||
\(941\) | 23.1708 | + | 31.8919i | 0.755347 | + | 1.03965i | 0.997587 | + | 0.0694293i | \(0.0221178\pi\) |
−0.242240 | + | 0.970216i | \(0.577882\pi\) | |||||||
\(942\) | 5.40314 | + | 1.28322i | 0.176044 | + | 0.0418094i | ||||
\(943\) | 9.49432 | − | 29.2205i | 0.309178 | − | 0.951551i | ||||
\(944\) | −6.18984 | − | 18.4350i | −0.201462 | − | 0.600008i | ||||
\(945\) | − | 8.86568i | − | 0.288401i | ||||||
\(946\) | −2.51645 | − | 8.52545i | −0.0818167 | − | 0.277186i | ||||
\(947\) | 24.9488i | 0.810725i | 0.914156 | + | 0.405363i | \(0.132855\pi\) | ||||
−0.914156 | + | 0.405363i | \(0.867145\pi\) | |||||||
\(948\) | −8.79205 | − | 1.34849i | −0.285552 | − | 0.0437970i | ||||
\(949\) | 11.1268 | − | 34.2447i | 0.361190 | − | 1.11163i | ||||
\(950\) | 8.26752 | − | 34.8114i | 0.268234 | − | 1.12943i | ||||
\(951\) | −7.34110 | − | 10.1042i | −0.238052 | − | 0.327650i | ||||
\(952\) | 0.273514 | − | 0.170381i | 0.00886464 | − | 0.00552209i | ||||
\(953\) | 38.9090 | − | 12.6423i | 1.26039 | − | 0.409524i | 0.398754 | − | 0.917058i | \(-0.369443\pi\) |
0.861632 | + | 0.507534i | \(0.169443\pi\) | |||||||
\(954\) | 10.2271 | − | 8.77811i | 0.331115 | − | 0.284202i | ||||
\(955\) | −16.2035 | + | 22.3023i | −0.524334 | + | 0.721684i | ||||
\(956\) | 6.12800 | + | 11.8829i | 0.198194 | + | 0.384320i | ||||
\(957\) | −9.61321 | − | 1.04350i | −0.310751 | − | 0.0337316i | ||||
\(958\) | 13.7835 | + | 8.40029i | 0.445326 | + | 0.271401i | ||||
\(959\) | −1.65262 | − | 1.20070i | −0.0533658 | − | 0.0387725i | ||||
\(960\) | −7.17149 | − | 3.52253i | −0.231459 | − | 0.113689i | ||||
\(961\) | 5.36305 | + | 16.5058i | 0.173002 | + | 0.532445i | ||||
\(962\) | 2.79933 | + | 34.4907i | 0.0902542 | + | 1.11203i | ||||
\(963\) | −21.9685 | + | 15.9610i | −0.707925 | + | 0.514337i | ||||
\(964\) | −6.09167 | − | 6.03239i | −0.196199 | − | 0.194290i | ||||
\(965\) | 22.2383 | + | 7.22567i | 0.715877 | + | 0.232603i | ||||
\(966\) | 3.48638 | + | 8.35900i | 0.112172 | + | 0.268946i | ||||
\(967\) | −23.6696 | −0.761164 | −0.380582 | − | 0.924747i | \(-0.624276\pi\) | ||||
−0.380582 | + | 0.924747i | \(0.624276\pi\) | |||||||
\(968\) | −25.6500 | − | 17.6090i | −0.824422 | − | 0.565975i | ||||
\(969\) | −0.412063 | −0.0132374 | ||||||||
\(970\) | −5.37791 | − | 12.8942i | −0.172674 | − | 0.414007i | ||||
\(971\) | 51.2925 | + | 16.6659i | 1.64606 | + | 0.534836i | 0.977880 | − | 0.209168i | \(-0.0670755\pi\) |
0.668176 | + | 0.744004i | \(0.267076\pi\) | |||||||
\(972\) | 21.8071 | + | 21.5949i | 0.699465 | + | 0.692658i | ||||
\(973\) | −8.28781 | + | 6.02145i | −0.265695 | + | 0.193039i | ||||
\(974\) | −0.458184 | − | 5.64530i | −0.0146812 | − | 0.180887i | ||||
\(975\) | 2.59056 | + | 7.97291i | 0.0829642 | + | 0.255338i | ||||
\(976\) | 4.32467 | − | 3.20713i | 0.138429 | − | 0.102658i | ||||
\(977\) | 7.76321 | + | 5.64030i | 0.248367 | + | 0.180449i | 0.705003 | − | 0.709204i | \(-0.250946\pi\) |
−0.456636 | + | 0.889654i | \(0.650946\pi\) | |||||||
\(978\) | 8.99601 | + | 5.48256i | 0.287661 | + | 0.175313i | ||||
\(979\) | −17.7957 | − | 1.93169i | −0.568752 | − | 0.0617371i | ||||
\(980\) | 5.37494 | + | 10.4226i | 0.171696 | + | 0.332938i | ||||
\(981\) | −12.9095 | + | 17.7684i | −0.412168 | + | 0.567300i | ||||
\(982\) | −12.0126 | + | 10.3106i | −0.383338 | + | 0.329026i | ||||
\(983\) | 33.5747 | − | 10.9091i | 1.07087 | − | 0.347945i | 0.280041 | − | 0.959988i | \(-0.409652\pi\) |
0.790824 | + | 0.612043i | \(0.209652\pi\) | |||||||
\(984\) | 6.40930 | + | 10.2889i | 0.204321 | + | 0.327997i | ||||
\(985\) | −2.76715 | − | 3.80866i | −0.0881688 | − | 0.121354i | ||||
\(986\) | 0.0899965 | − | 0.378941i | 0.00286607 | − | 0.0120679i | ||||
\(987\) | 3.65449 | − | 11.2474i | 0.116324 | − | 0.358007i | ||||
\(988\) | 55.9171 | + | 8.57636i | 1.77896 | + | 0.272850i | ||||
\(989\) | 10.0631i | 0.319987i | ||||||||
\(990\) | −4.38914 | − | 14.8699i | −0.139496 | − | 0.472598i | ||||
\(991\) | 17.8021i | 0.565502i | 0.959193 | + | 0.282751i | \(0.0912471\pi\) | ||||
−0.959193 | + | 0.282751i | \(0.908753\pi\) | |||||||
\(992\) | 4.62931 | − | 20.3765i | 0.146981 | − | 0.646955i | ||||
\(993\) | 7.77591 | − | 23.9318i | 0.246761 | − | 0.759452i | ||||
\(994\) | 15.6291 | + | 3.71182i | 0.495723 | + | 0.117732i | ||||
\(995\) | 8.92918 | + | 12.2900i | 0.283074 | + | 0.389618i | ||||
\(996\) | −2.40575 | + | 4.77918i | −0.0762293 | + | 0.151434i | ||||
\(997\) | −59.8586 | + | 19.4492i | −1.89574 | + | 0.615963i | −0.922596 | + | 0.385766i | \(0.873937\pi\) |
−0.973144 | + | 0.230197i | \(0.926063\pi\) | |||||||
\(998\) | 36.2590 | + | 42.2443i | 1.14776 | + | 1.33722i | ||||
\(999\) | 16.3251 | − | 22.4695i | 0.516503 | − | 0.710905i |
(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 | 44.2.g.a.7.3 | yes | 16 | |
3.2 | odd | 2 | 396.2.r.a.271.2 | 16 | |||
4.3 | odd | 2 | inner | 44.2.g.a.7.1 | ✓ | 16 | |
8.3 | odd | 2 | 704.2.u.c.447.2 | 16 | |||
8.5 | even | 2 | 704.2.u.c.447.3 | 16 | |||
11.2 | odd | 10 | 484.2.g.j.215.2 | 16 | |||
11.3 | even | 5 | 484.2.g.i.239.4 | 16 | |||
11.4 | even | 5 | 484.2.g.j.475.1 | 16 | |||
11.5 | even | 5 | 484.2.c.d.483.3 | 16 | |||
11.6 | odd | 10 | 484.2.c.d.483.14 | 16 | |||
11.7 | odd | 10 | 484.2.g.f.475.4 | 16 | |||
11.8 | odd | 10 | inner | 44.2.g.a.19.1 | yes | 16 | |
11.9 | even | 5 | 484.2.g.f.215.3 | 16 | |||
11.10 | odd | 2 | 484.2.g.i.403.2 | 16 | |||
12.11 | even | 2 | 396.2.r.a.271.4 | 16 | |||
33.8 | even | 10 | 396.2.r.a.19.4 | 16 | |||
44.3 | odd | 10 | 484.2.g.i.239.2 | 16 | |||
44.7 | even | 10 | 484.2.g.f.475.3 | 16 | |||
44.15 | odd | 10 | 484.2.g.j.475.2 | 16 | |||
44.19 | even | 10 | inner | 44.2.g.a.19.3 | yes | 16 | |
44.27 | odd | 10 | 484.2.c.d.483.13 | 16 | |||
44.31 | odd | 10 | 484.2.g.f.215.4 | 16 | |||
44.35 | even | 10 | 484.2.g.j.215.1 | 16 | |||
44.39 | even | 10 | 484.2.c.d.483.4 | 16 | |||
44.43 | even | 2 | 484.2.g.i.403.4 | 16 | |||
88.19 | even | 10 | 704.2.u.c.63.3 | 16 | |||
88.85 | odd | 10 | 704.2.u.c.63.2 | 16 | |||
132.107 | odd | 10 | 396.2.r.a.19.2 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
44.2.g.a.7.1 | ✓ | 16 | 4.3 | odd | 2 | inner | |
44.2.g.a.7.3 | yes | 16 | 1.1 | even | 1 | trivial | |
44.2.g.a.19.1 | yes | 16 | 11.8 | odd | 10 | inner | |
44.2.g.a.19.3 | yes | 16 | 44.19 | even | 10 | inner | |
396.2.r.a.19.2 | 16 | 132.107 | odd | 10 | |||
396.2.r.a.19.4 | 16 | 33.8 | even | 10 | |||
396.2.r.a.271.2 | 16 | 3.2 | odd | 2 | |||
396.2.r.a.271.4 | 16 | 12.11 | even | 2 | |||
484.2.c.d.483.3 | 16 | 11.5 | even | 5 | |||
484.2.c.d.483.4 | 16 | 44.39 | even | 10 | |||
484.2.c.d.483.13 | 16 | 44.27 | odd | 10 | |||
484.2.c.d.483.14 | 16 | 11.6 | odd | 10 | |||
484.2.g.f.215.3 | 16 | 11.9 | even | 5 | |||
484.2.g.f.215.4 | 16 | 44.31 | odd | 10 | |||
484.2.g.f.475.3 | 16 | 44.7 | even | 10 | |||
484.2.g.f.475.4 | 16 | 11.7 | odd | 10 | |||
484.2.g.i.239.2 | 16 | 44.3 | odd | 10 | |||
484.2.g.i.239.4 | 16 | 11.3 | even | 5 | |||
484.2.g.i.403.2 | 16 | 11.10 | odd | 2 | |||
484.2.g.i.403.4 | 16 | 44.43 | even | 2 | |||
484.2.g.j.215.1 | 16 | 44.35 | even | 10 | |||
484.2.g.j.215.2 | 16 | 11.2 | odd | 10 | |||
484.2.g.j.475.1 | 16 | 11.4 | even | 5 | |||
484.2.g.j.475.2 | 16 | 44.15 | odd | 10 | |||
704.2.u.c.63.2 | 16 | 88.85 | odd | 10 | |||
704.2.u.c.63.3 | 16 | 88.19 | even | 10 | |||
704.2.u.c.447.2 | 16 | 8.3 | odd | 2 | |||
704.2.u.c.447.3 | 16 | 8.5 | even | 2 |