Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [91,2,Mod(19,91)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(91, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([10, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("91.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 91 = 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 91.w (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.726638658394\) |
Analytic rank: | \(0\) |
Dimension: | \(28\) |
Relative dimension: | \(7\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 24.2 | ||
Character | \(\chi\) | \(=\) | 91.24 |
Dual form | 91.2.w.a.19.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).
\(n\) | \(15\) | \(66\) |
\(\chi(n)\) | \(e\left(\frac{7}{12}\right)\) | \(e\left(\frac{1}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.56673 | + | 0.419805i | −1.10785 | + | 0.296847i | −0.765956 | − | 0.642893i | \(-0.777734\pi\) |
−0.341891 | + | 0.939739i | \(0.611068\pi\) | |||||||
\(3\) | − | 0.513926i | − | 0.296716i | −0.988934 | − | 0.148358i | \(-0.952601\pi\) | ||
0.988934 | − | 0.148358i | \(-0.0473987\pi\) | |||||||
\(4\) | 0.546366 | − | 0.315445i | 0.273183 | − | 0.157722i | ||||
\(5\) | 1.47457 | + | 0.395109i | 0.659447 | + | 0.176698i | 0.572996 | − | 0.819558i | \(-0.305781\pi\) |
0.0864504 | + | 0.996256i | \(0.472448\pi\) | |||||||
\(6\) | 0.215749 | + | 0.805186i | 0.0880791 | + | 0.328716i | ||||
\(7\) | 1.27657 | + | 2.31741i | 0.482498 | + | 0.875897i | ||||
\(8\) | 1.57027 | − | 1.57027i | 0.555175 | − | 0.555175i | ||||
\(9\) | 2.73588 | 0.911960 | ||||||||
\(10\) | −2.47612 | −0.783019 | ||||||||
\(11\) | −2.03695 | + | 2.03695i | −0.614162 | + | 0.614162i | −0.944028 | − | 0.329866i | \(-0.892996\pi\) |
0.329866 | + | 0.944028i | \(0.392996\pi\) | |||||||
\(12\) | −0.162115 | − | 0.280792i | −0.0467987 | − | 0.0810577i | ||||
\(13\) | 2.94467 | + | 2.08061i | 0.816704 | + | 0.577057i | ||||
\(14\) | −2.97290 | − | 3.09485i | −0.794542 | − | 0.827132i | ||||
\(15\) | 0.203057 | − | 0.757819i | 0.0524291 | − | 0.195668i | ||||
\(16\) | −2.43188 | + | 4.21214i | −0.607970 | + | 1.05303i | ||||
\(17\) | −3.10787 | − | 5.38299i | −0.753769 | − | 1.30557i | −0.945984 | − | 0.324213i | \(-0.894900\pi\) |
0.192215 | − | 0.981353i | \(-0.438433\pi\) | |||||||
\(18\) | −4.28639 | + | 1.14854i | −1.01031 | + | 0.270712i | ||||
\(19\) | 1.63531 | − | 1.63531i | 0.375165 | − | 0.375165i | −0.494189 | − | 0.869354i | \(-0.664535\pi\) |
0.869354 | + | 0.494189i | \(0.164535\pi\) | |||||||
\(20\) | 0.930289 | − | 0.249270i | 0.208019 | − | 0.0557385i | ||||
\(21\) | 1.19098 | − | 0.656063i | 0.259892 | − | 0.143165i | ||||
\(22\) | 2.33623 | − | 4.04647i | 0.498086 | − | 0.862710i | ||||
\(23\) | −4.86913 | − | 2.81119i | −1.01528 | − | 0.586174i | −0.102549 | − | 0.994728i | \(-0.532700\pi\) |
−0.912734 | + | 0.408554i | \(0.866033\pi\) | |||||||
\(24\) | −0.807004 | − | 0.807004i | −0.164729 | − | 0.164729i | ||||
\(25\) | −2.31189 | − | 1.33477i | −0.462378 | − | 0.266954i | ||||
\(26\) | −5.48696 | − | 2.02357i | −1.07608 | − | 0.396855i | ||||
\(27\) | − | 2.94782i | − | 0.567308i | ||||||
\(28\) | 1.42849 | + | 0.863465i | 0.269959 | + | 0.163180i | ||||
\(29\) | 0.379237 | + | 0.656858i | 0.0704225 | + | 0.121975i | 0.899087 | − | 0.437771i | \(-0.144232\pi\) |
−0.828664 | + | 0.559746i | \(0.810899\pi\) | |||||||
\(30\) | 1.27255i | 0.232334i | ||||||||
\(31\) | 2.24084 | + | 8.36292i | 0.402466 | + | 1.50202i | 0.808682 | + | 0.588247i | \(0.200182\pi\) |
−0.406215 | + | 0.913777i | \(0.633152\pi\) | |||||||
\(32\) | 0.892311 | − | 3.33015i | 0.157740 | − | 0.588693i | ||||
\(33\) | 1.04684 | + | 1.04684i | 0.182231 | + | 0.182231i | ||||
\(34\) | 7.12901 | + | 7.12901i | 1.22261 | + | 1.22261i | ||||
\(35\) | 0.966761 | + | 3.92156i | 0.163412 | + | 0.662864i | ||||
\(36\) | 1.49479 | − | 0.863019i | 0.249132 | − | 0.143837i | ||||
\(37\) | −1.56036 | − | 5.82334i | −0.256521 | − | 0.957351i | −0.967238 | − | 0.253872i | \(-0.918296\pi\) |
0.710716 | − | 0.703479i | \(-0.248371\pi\) | |||||||
\(38\) | −1.87558 | + | 3.24860i | −0.304259 | + | 0.526992i | ||||
\(39\) | 1.06928 | − | 1.51334i | 0.171222 | − | 0.242329i | ||||
\(40\) | 2.93590 | − | 1.69504i | 0.464207 | − | 0.268010i | ||||
\(41\) | 1.94919 | + | 0.522283i | 0.304412 | + | 0.0815669i | 0.407792 | − | 0.913075i | \(-0.366299\pi\) |
−0.103380 | + | 0.994642i | \(0.532966\pi\) | |||||||
\(42\) | −1.59052 | + | 1.52785i | −0.245423 | + | 0.235753i | ||||
\(43\) | −2.24252 | − | 1.29472i | −0.341981 | − | 0.197443i | 0.319167 | − | 0.947699i | \(-0.396597\pi\) |
−0.661148 | + | 0.750256i | \(0.729930\pi\) | |||||||
\(44\) | −0.470375 | + | 1.75546i | −0.0709116 | + | 0.264646i | ||||
\(45\) | 4.03424 | + | 1.08097i | 0.601389 | + | 0.161142i | ||||
\(46\) | 8.80878 | + | 2.36030i | 1.29878 | + | 0.348008i | ||||
\(47\) | −0.571791 | + | 2.13395i | −0.0834043 | + | 0.311269i | −0.995007 | − | 0.0998029i | \(-0.968179\pi\) |
0.911603 | + | 0.411072i | \(0.134845\pi\) | |||||||
\(48\) | 2.16473 | + | 1.24981i | 0.312452 | + | 0.180394i | ||||
\(49\) | −3.74074 | + | 5.91666i | −0.534391 | + | 0.845237i | ||||
\(50\) | 4.18246 | + | 1.12069i | 0.591488 | + | 0.158489i | ||||
\(51\) | −2.76646 | + | 1.59722i | −0.387382 | + | 0.223655i | ||||
\(52\) | 2.26518 | + | 0.207895i | 0.314125 | + | 0.0288298i | ||||
\(53\) | 2.47328 | − | 4.28385i | 0.339732 | − | 0.588433i | −0.644650 | − | 0.764477i | \(-0.722997\pi\) |
0.984382 | + | 0.176045i | \(0.0563304\pi\) | |||||||
\(54\) | 1.23751 | + | 4.61845i | 0.168404 | + | 0.628491i | ||||
\(55\) | −3.80843 | + | 2.19880i | −0.513529 | + | 0.296486i | ||||
\(56\) | 5.64352 | + | 1.63439i | 0.754147 | + | 0.218405i | ||||
\(57\) | −0.840427 | − | 0.840427i | −0.111317 | − | 0.111317i | ||||
\(58\) | −0.869915 | − | 0.869915i | −0.114225 | − | 0.114225i | ||||
\(59\) | 0.228132 | − | 0.851400i | 0.0297003 | − | 0.110843i | −0.949484 | − | 0.313814i | \(-0.898393\pi\) |
0.979185 | + | 0.202971i | \(0.0650598\pi\) | |||||||
\(60\) | −0.128107 | − | 0.478100i | −0.0165385 | − | 0.0617225i | ||||
\(61\) | − | 5.17593i | − | 0.662710i | −0.943506 | − | 0.331355i | \(-0.892494\pi\) | ||
0.943506 | − | 0.331355i | \(-0.107506\pi\) | |||||||
\(62\) | −7.02159 | − | 12.1617i | −0.891742 | − | 1.54454i | ||||
\(63\) | 3.49254 | + | 6.34014i | 0.440019 | + | 0.798783i | ||||
\(64\) | − | 4.13546i | − | 0.516933i | ||||||
\(65\) | 3.52004 | + | 4.23146i | 0.436608 | + | 0.524849i | ||||
\(66\) | −2.07959 | − | 1.20065i | −0.255980 | − | 0.147790i | ||||
\(67\) | −11.1026 | − | 11.1026i | −1.35640 | − | 1.35640i | −0.878315 | − | 0.478082i | \(-0.841332\pi\) |
−0.478082 | − | 0.878315i | \(-0.658668\pi\) | |||||||
\(68\) | −3.39607 | − | 1.96072i | −0.411834 | − | 0.237773i | ||||
\(69\) | −1.44475 | + | 2.50237i | −0.173927 | + | 0.301250i | ||||
\(70\) | −3.16095 | − | 5.73818i | −0.377805 | − | 0.685844i | ||||
\(71\) | −10.3040 | + | 2.76095i | −1.22286 | + | 0.327665i | −0.811796 | − | 0.583941i | \(-0.801510\pi\) |
−0.411066 | + | 0.911606i | \(0.634843\pi\) | |||||||
\(72\) | 4.29607 | − | 4.29607i | 0.506297 | − | 0.506297i | ||||
\(73\) | 6.72052 | − | 1.80076i | 0.786578 | − | 0.210763i | 0.156895 | − | 0.987615i | \(-0.449852\pi\) |
0.629683 | + | 0.776852i | \(0.283185\pi\) | |||||||
\(74\) | 4.88933 | + | 8.46857i | 0.568373 | + | 0.984452i | ||||
\(75\) | −0.685973 | + | 1.18814i | −0.0792094 | + | 0.137195i | ||||
\(76\) | 0.377628 | − | 1.40933i | 0.0433169 | − | 0.161661i | ||||
\(77\) | −7.32073 | − | 2.12012i | −0.834275 | − | 0.241611i | ||||
\(78\) | −1.03997 | + | 2.81989i | −0.117753 | + | 0.319290i | ||||
\(79\) | −4.24764 | − | 7.35713i | −0.477897 | − | 0.827742i | 0.521782 | − | 0.853079i | \(-0.325267\pi\) |
−0.999679 | + | 0.0253371i | \(0.991934\pi\) | |||||||
\(80\) | −5.25022 | + | 5.25022i | −0.586993 | + | 0.586993i | ||||
\(81\) | 6.69268 | 0.743631 | ||||||||
\(82\) | −3.27311 | −0.361455 | ||||||||
\(83\) | 1.51432 | − | 1.51432i | 0.166218 | − | 0.166218i | −0.619096 | − | 0.785315i | \(-0.712501\pi\) |
0.785315 | + | 0.619096i | \(0.212501\pi\) | |||||||
\(84\) | 0.443758 | − | 0.734138i | 0.0484179 | − | 0.0801010i | ||||
\(85\) | −2.45590 | − | 9.16553i | −0.266379 | − | 0.994141i | ||||
\(86\) | 4.05696 | + | 1.08706i | 0.437473 | + | 0.117221i | ||||
\(87\) | 0.337576 | − | 0.194900i | 0.0361920 | − | 0.0208955i | ||||
\(88\) | 6.39711i | 0.681935i | ||||||||
\(89\) | −8.08103 | + | 2.16531i | −0.856588 | + | 0.229522i | −0.660279 | − | 0.751020i | \(-0.729562\pi\) |
−0.196308 | + | 0.980542i | \(0.562895\pi\) | |||||||
\(90\) | −6.77438 | −0.714082 | ||||||||
\(91\) | −1.06254 | + | 9.48003i | −0.111384 | + | 0.993777i | ||||
\(92\) | −3.54710 | −0.369811 | ||||||||
\(93\) | 4.29792 | − | 1.15162i | 0.445674 | − | 0.119418i | ||||
\(94\) | − | 3.58337i | − | 0.369597i | ||||||
\(95\) | 3.05750 | − | 1.76525i | 0.313692 | − | 0.181110i | ||||
\(96\) | −1.71145 | − | 0.458582i | −0.174674 | − | 0.0468038i | ||||
\(97\) | 0.933928 | + | 3.48547i | 0.0948260 | + | 0.353896i | 0.996993 | − | 0.0774914i | \(-0.0246910\pi\) |
−0.902167 | + | 0.431387i | \(0.858024\pi\) | |||||||
\(98\) | 3.37689 | − | 10.8402i | 0.341118 | − | 1.09503i | ||||
\(99\) | −5.57284 | + | 5.57284i | −0.560091 | + | 0.560091i | ||||
\(100\) | −1.68418 | −0.168418 | ||||||||
\(101\) | 19.6895 | 1.95918 | 0.979589 | − | 0.201012i | \(-0.0644231\pi\) | ||||
0.979589 | + | 0.201012i | \(0.0644231\pi\) | |||||||
\(102\) | 3.66379 | − | 3.66379i | 0.362769 | − | 0.362769i | ||||
\(103\) | 4.70130 | + | 8.14290i | 0.463233 | + | 0.802344i | 0.999120 | − | 0.0419464i | \(-0.0133559\pi\) |
−0.535887 | + | 0.844290i | \(0.680023\pi\) | |||||||
\(104\) | 7.89105 | − | 1.35681i | 0.773781 | − | 0.133046i | ||||
\(105\) | 2.01539 | − | 0.496844i | 0.196682 | − | 0.0484870i | ||||
\(106\) | −2.07659 | + | 7.74995i | −0.201697 | + | 0.752742i | ||||
\(107\) | −0.0359206 | + | 0.0622163i | −0.00347258 | + | 0.00601468i | −0.867756 | − | 0.496990i | \(-0.834439\pi\) |
0.864284 | + | 0.503004i | \(0.167772\pi\) | |||||||
\(108\) | −0.929874 | − | 1.61059i | −0.0894772 | − | 0.154979i | ||||
\(109\) | −7.07523 | + | 1.89580i | −0.677684 | + | 0.181585i | −0.581214 | − | 0.813751i | \(-0.697422\pi\) |
−0.0964705 | + | 0.995336i | \(0.530755\pi\) | |||||||
\(110\) | 5.04373 | − | 5.04373i | 0.480901 | − | 0.480901i | ||||
\(111\) | −2.99277 | + | 0.801910i | −0.284061 | + | 0.0761139i | ||||
\(112\) | −12.8657 | − | 0.258560i | −1.21569 | − | 0.0244316i | ||||
\(113\) | −8.15754 | + | 14.1293i | −0.767396 | + | 1.32917i | 0.171574 | + | 0.985171i | \(0.445115\pi\) |
−0.938970 | + | 0.343998i | \(0.888219\pi\) | |||||||
\(114\) | 1.66954 | + | 0.963910i | 0.156367 | + | 0.0902784i | ||||
\(115\) | −6.06913 | − | 6.06913i | −0.565949 | − | 0.565949i | ||||
\(116\) | 0.414405 | + | 0.239257i | 0.0384765 | + | 0.0222144i | ||||
\(117\) | 8.05626 | + | 5.69230i | 0.744801 | + | 0.526253i | ||||
\(118\) | 1.42969i | 0.131613i | ||||||||
\(119\) | 8.50715 | − | 14.0740i | 0.779849 | − | 1.29016i | ||||
\(120\) | −0.871127 | − | 1.50884i | −0.0795227 | − | 0.137737i | ||||
\(121\) | 2.70171i | 0.245610i | ||||||||
\(122\) | 2.17288 | + | 8.10931i | 0.196724 | + | 0.734182i | ||||
\(123\) | 0.268415 | − | 1.00174i | 0.0242022 | − | 0.0903238i | ||||
\(124\) | 3.86236 | + | 3.86236i | 0.346850 | + | 0.346850i | ||||
\(125\) | −8.27895 | − | 8.27895i | −0.740492 | − | 0.740492i | ||||
\(126\) | −8.13351 | − | 8.46713i | −0.724590 | − | 0.754312i | ||||
\(127\) | 14.9037 | − | 8.60464i | 1.32249 | − | 0.763538i | 0.338362 | − | 0.941016i | \(-0.390127\pi\) |
0.984125 | + | 0.177478i | \(0.0567937\pi\) | |||||||
\(128\) | 3.52071 | + | 13.1395i | 0.311190 | + | 1.16138i | ||||
\(129\) | −0.665390 | + | 1.15249i | −0.0585843 | + | 0.101471i | ||||
\(130\) | −7.29136 | − | 5.15184i | −0.639495 | − | 0.451847i | ||||
\(131\) | 4.73734 | − | 2.73511i | 0.413904 | − | 0.238967i | −0.278562 | − | 0.960418i | \(-0.589858\pi\) |
0.692466 | + | 0.721451i | \(0.256524\pi\) | |||||||
\(132\) | 0.902178 | + | 0.241738i | 0.0785245 | + | 0.0210406i | ||||
\(133\) | 5.87725 | + | 1.70208i | 0.509622 | + | 0.147589i | ||||
\(134\) | 22.0557 | + | 12.7339i | 1.90532 | + | 1.10004i | ||||
\(135\) | 1.16471 | − | 4.34676i | 0.100242 | − | 0.374110i | ||||
\(136\) | −13.3330 | − | 3.57255i | −1.14329 | − | 0.306344i | ||||
\(137\) | 1.69468 | + | 0.454089i | 0.144787 | + | 0.0387955i | 0.330484 | − | 0.943811i | \(-0.392788\pi\) |
−0.185698 | + | 0.982607i | \(0.559455\pi\) | |||||||
\(138\) | 1.21302 | − | 4.52706i | 0.103259 | − | 0.385369i | ||||
\(139\) | −7.13953 | − | 4.12201i | −0.605567 | − | 0.349624i | 0.165662 | − | 0.986183i | \(-0.447024\pi\) |
−0.771228 | + | 0.636559i | \(0.780357\pi\) | |||||||
\(140\) | 1.76524 | + | 1.83765i | 0.149190 | + | 0.155310i | ||||
\(141\) | 1.09669 | + | 0.293858i | 0.0923583 | + | 0.0247473i | ||||
\(142\) | 14.9846 | − | 8.65135i | 1.25748 | − | 0.726005i | ||||
\(143\) | −10.2362 | + | 1.76004i | −0.855995 | + | 0.147182i | ||||
\(144\) | −6.65333 | + | 11.5239i | −0.554444 | + | 0.960325i | ||||
\(145\) | 0.299680 | + | 1.11842i | 0.0248871 | + | 0.0928798i | ||||
\(146\) | −9.77330 | + | 5.64262i | −0.808844 | + | 0.466986i | ||||
\(147\) | 3.04073 | + | 1.92246i | 0.250795 | + | 0.158562i | ||||
\(148\) | −2.68947 | − | 2.68947i | −0.221073 | − | 0.221073i | ||||
\(149\) | 3.14690 | + | 3.14690i | 0.257804 | + | 0.257804i | 0.824160 | − | 0.566356i | \(-0.191647\pi\) |
−0.566356 | + | 0.824160i | \(0.691647\pi\) | |||||||
\(150\) | 0.575950 | − | 2.14947i | 0.0470261 | − | 0.175504i | ||||
\(151\) | 2.32966 | + | 8.69443i | 0.189585 | + | 0.707542i | 0.993602 | + | 0.112936i | \(0.0360255\pi\) |
−0.804017 | + | 0.594606i | \(0.797308\pi\) | |||||||
\(152\) | − | 5.13575i | − | 0.416564i | ||||||
\(153\) | −8.50276 | − | 14.7272i | −0.687407 | − | 1.19062i | ||||
\(154\) | 12.3597 | + | 0.248390i | 0.995971 | + | 0.0200159i | ||||
\(155\) | 13.2171i | 1.06162i | ||||||||
\(156\) | 0.106843 | − | 1.16414i | 0.00855425 | − | 0.0932056i | ||||
\(157\) | −4.21105 | − | 2.43125i | −0.336078 | − | 0.194035i | 0.322458 | − | 0.946584i | \(-0.395491\pi\) |
−0.658537 | + | 0.752549i | \(0.728824\pi\) | |||||||
\(158\) | 9.74348 | + | 9.74348i | 0.775150 | + | 0.775150i | ||||
\(159\) | −2.20159 | − | 1.27109i | −0.174597 | − | 0.100804i | ||||
\(160\) | 2.63155 | − | 4.55797i | 0.208042 | − | 0.360339i | ||||
\(161\) | 0.298889 | − | 14.8724i | 0.0235557 | − | 1.17211i | ||||
\(162\) | −10.4856 | + | 2.80962i | −0.823830 | + | 0.220744i | ||||
\(163\) | −4.51748 | + | 4.51748i | −0.353836 | + | 0.353836i | −0.861535 | − | 0.507699i | \(-0.830496\pi\) |
0.507699 | + | 0.861535i | \(0.330496\pi\) | |||||||
\(164\) | 1.22972 | − | 0.329503i | 0.0960252 | − | 0.0257299i | ||||
\(165\) | 1.13002 | + | 1.95725i | 0.0879719 | + | 0.152372i | ||||
\(166\) | −1.73682 | + | 3.00826i | −0.134803 | + | 0.233486i | ||||
\(167\) | −2.62064 | + | 9.78037i | −0.202791 | + | 0.756828i | 0.787320 | + | 0.616544i | \(0.211468\pi\) |
−0.990111 | + | 0.140283i | \(0.955199\pi\) | |||||||
\(168\) | 0.839958 | − | 2.90035i | 0.0648042 | − | 0.223767i | ||||
\(169\) | 4.34213 | + | 12.2534i | 0.334010 | + | 0.942569i | ||||
\(170\) | 7.69547 | + | 13.3289i | 0.590215 | + | 1.02228i | ||||
\(171\) | 4.47400 | − | 4.47400i | 0.342136 | − | 0.342136i | ||||
\(172\) | −1.63365 | −0.124565 | ||||||||
\(173\) | −17.6476 | −1.34172 | −0.670861 | − | 0.741583i | \(-0.734075\pi\) | ||||
−0.670861 | + | 0.741583i | \(0.734075\pi\) | |||||||
\(174\) | −0.447072 | + | 0.447072i | −0.0338925 | + | 0.0338925i | ||||
\(175\) | 0.141914 | − | 7.06151i | 0.0107277 | − | 0.533800i | ||||
\(176\) | −3.62629 | − | 13.5335i | −0.273342 | − | 1.02013i | ||||
\(177\) | −0.437557 | − | 0.117243i | −0.0328888 | − | 0.00881253i | ||||
\(178\) | 11.7518 | − | 6.78491i | 0.880836 | − | 0.508551i | ||||
\(179\) | 20.2232i | 1.51155i | 0.654831 | + | 0.755775i | \(0.272740\pi\) | ||||
−0.654831 | + | 0.755775i | \(0.727260\pi\) | |||||||
\(180\) | 2.54516 | − | 0.681974i | 0.189705 | − | 0.0508313i | ||||
\(181\) | 17.4649 | 1.29815 | 0.649077 | − | 0.760722i | \(-0.275155\pi\) | ||||
0.649077 | + | 0.760722i | \(0.275155\pi\) | |||||||
\(182\) | −2.31505 | − | 15.2987i | −0.171603 | − | 1.13402i | ||||
\(183\) | −2.66005 | −0.196636 | ||||||||
\(184\) | −12.0602 | + | 3.23152i | −0.889089 | + | 0.238231i | ||||
\(185\) | − | 9.20342i | − | 0.676649i | ||||||
\(186\) | −6.25024 | + | 3.60858i | −0.458290 | + | 0.264594i | ||||
\(187\) | 17.2954 | + | 4.63429i | 1.26477 | + | 0.338893i | ||||
\(188\) | 0.360737 | + | 1.34629i | 0.0263094 | + | 0.0981882i | ||||
\(189\) | 6.83129 | − | 3.76310i | 0.496904 | − | 0.273725i | ||||
\(190\) | −4.04922 | + | 4.04922i | −0.293761 | + | 0.293761i | ||||
\(191\) | 0.0415888 | 0.00300926 | 0.00150463 | − | 0.999999i | \(-0.499521\pi\) | ||||
0.00150463 | + | 0.999999i | \(0.499521\pi\) | |||||||
\(192\) | −2.12532 | −0.153382 | ||||||||
\(193\) | 8.83196 | − | 8.83196i | 0.635738 | − | 0.635738i | −0.313763 | − | 0.949501i | \(-0.601590\pi\) |
0.949501 | + | 0.313763i | \(0.101590\pi\) | |||||||
\(194\) | −2.92643 | − | 5.06873i | −0.210106 | − | 0.363914i | ||||
\(195\) | 2.17466 | − | 1.80904i | 0.155731 | − | 0.129548i | ||||
\(196\) | −0.177433 | + | 4.41266i | −0.0126738 | + | 0.315190i | ||||
\(197\) | 0.962573 | − | 3.59237i | 0.0685805 | − | 0.255946i | −0.923121 | − | 0.384510i | \(-0.874370\pi\) |
0.991701 | + | 0.128565i | \(0.0410369\pi\) | |||||||
\(198\) | 6.39164 | − | 11.0707i | 0.454234 | − | 0.786757i | ||||
\(199\) | −4.38853 | − | 7.60116i | −0.311095 | − | 0.538832i | 0.667505 | − | 0.744606i | \(-0.267362\pi\) |
−0.978600 | + | 0.205773i | \(0.934029\pi\) | |||||||
\(200\) | −5.72624 | + | 1.53434i | −0.404907 | + | 0.108494i | ||||
\(201\) | −5.70591 | + | 5.70591i | −0.402464 | + | 0.402464i | ||||
\(202\) | −30.8482 | + | 8.26575i | −2.17047 | + | 0.581576i | ||||
\(203\) | −1.03808 | + | 1.71737i | −0.0728591 | + | 0.120536i | ||||
\(204\) | −1.00767 | + | 1.74533i | −0.0705508 | + | 0.122198i | ||||
\(205\) | 2.66785 | + | 1.54028i | 0.186331 | + | 0.107578i | ||||
\(206\) | −10.7841 | − | 10.7841i | −0.751365 | − | 0.751365i | ||||
\(207\) | −13.3213 | − | 7.69108i | −0.925898 | − | 0.534567i | ||||
\(208\) | −15.9249 | + | 7.34356i | −1.10419 | + | 0.509184i | ||||
\(209\) | 6.66206i | 0.460824i | ||||||||
\(210\) | −2.94900 | + | 1.62449i | −0.203501 | + | 0.112101i | ||||
\(211\) | −3.33665 | − | 5.77924i | −0.229704 | − | 0.397859i | 0.728016 | − | 0.685560i | \(-0.240443\pi\) |
−0.957720 | + | 0.287701i | \(0.907109\pi\) | |||||||
\(212\) | − | 3.12074i | − | 0.214333i | ||||||
\(213\) | 1.41893 | + | 5.29551i | 0.0972232 | + | 0.362842i | ||||
\(214\) | 0.0301593 | − | 0.112556i | 0.00206165 | − | 0.00769417i | ||||
\(215\) | −2.79519 | − | 2.79519i | −0.190630 | − | 0.190630i | ||||
\(216\) | −4.62888 | − | 4.62888i | −0.314955 | − | 0.314955i | ||||
\(217\) | −16.5197 | + | 15.8688i | −1.12143 | + | 1.07724i | ||||
\(218\) | 10.2891 | − | 5.94043i | 0.696868 | − | 0.402337i | ||||
\(219\) | −0.925457 | − | 3.45385i | −0.0625366 | − | 0.233390i | ||||
\(220\) | −1.38720 | + | 2.40270i | −0.0935249 | + | 0.161990i | ||||
\(221\) | 2.04825 | − | 22.3174i | 0.137780 | − | 1.50123i | ||||
\(222\) | 4.35222 | − | 2.51276i | 0.292102 | − | 0.168645i | ||||
\(223\) | 6.10027 | + | 1.63456i | 0.408505 | + | 0.109458i | 0.457219 | − | 0.889354i | \(-0.348846\pi\) |
−0.0487142 | + | 0.998813i | \(0.515512\pi\) | |||||||
\(224\) | 8.85640 | − | 2.18332i | 0.591743 | − | 0.145879i | ||||
\(225\) | −6.32505 | − | 3.65177i | −0.421670 | − | 0.243451i | ||||
\(226\) | 6.84915 | − | 25.5614i | 0.455599 | − | 1.70032i | ||||
\(227\) | 22.7459 | + | 6.09476i | 1.50970 | + | 0.404523i | 0.916336 | − | 0.400410i | \(-0.131132\pi\) |
0.593365 | + | 0.804933i | \(0.297799\pi\) | |||||||
\(228\) | −0.724290 | − | 0.194073i | −0.0479673 | − | 0.0128528i | ||||
\(229\) | 4.89785 | − | 18.2790i | 0.323659 | − | 1.20791i | −0.591995 | − | 0.805942i | \(-0.701659\pi\) |
0.915653 | − | 0.401969i | \(-0.131674\pi\) | |||||||
\(230\) | 12.0566 | + | 6.96086i | 0.794986 | + | 0.458985i | ||||
\(231\) | −1.08959 | + | 3.76232i | −0.0716896 | + | 0.247542i | ||||
\(232\) | 1.62695 | + | 0.435940i | 0.106814 | + | 0.0286209i | ||||
\(233\) | −6.36747 | + | 3.67626i | −0.417147 | + | 0.240840i | −0.693856 | − | 0.720114i | \(-0.744090\pi\) |
0.276709 | + | 0.960954i | \(0.410756\pi\) | |||||||
\(234\) | −15.0117 | − | 5.53625i | −0.981343 | − | 0.361916i | ||||
\(235\) | −1.68629 | + | 2.92074i | −0.110001 | + | 0.190528i | ||||
\(236\) | −0.143926 | − | 0.537140i | −0.00936879 | − | 0.0349648i | ||||
\(237\) | −3.78102 | + | 2.18297i | −0.245604 | + | 0.141799i | ||||
\(238\) | −7.42012 | + | 25.6215i | −0.480975 | + | 1.66079i | ||||
\(239\) | −4.08646 | − | 4.08646i | −0.264331 | − | 0.264331i | 0.562480 | − | 0.826811i | \(-0.309847\pi\) |
−0.826811 | + | 0.562480i | \(0.809847\pi\) | |||||||
\(240\) | 2.69823 | + | 2.69823i | 0.174170 | + | 0.174170i | ||||
\(241\) | −7.43847 | + | 27.7607i | −0.479154 | + | 1.78823i | 0.125900 | + | 0.992043i | \(0.459818\pi\) |
−0.605054 | + | 0.796184i | \(0.706849\pi\) | |||||||
\(242\) | −1.13419 | − | 4.23286i | −0.0729086 | − | 0.272098i | ||||
\(243\) | − | 12.2830i | − | 0.787955i | ||||||
\(244\) | −1.63272 | − | 2.82796i | −0.104524 | − | 0.181041i | ||||
\(245\) | −7.85370 | + | 7.24652i | −0.501754 | + | 0.462963i | ||||
\(246\) | 1.68214i | 0.107249i | ||||||||
\(247\) | 8.21787 | − | 1.41300i | 0.522890 | − | 0.0899071i | ||||
\(248\) | 16.6508 | + | 9.61333i | 1.05732 | + | 0.610447i | ||||
\(249\) | −0.778250 | − | 0.778250i | −0.0493196 | − | 0.0493196i | ||||
\(250\) | 16.4464 | + | 9.49536i | 1.04016 | + | 0.600539i | ||||
\(251\) | 9.72695 | − | 16.8476i | 0.613960 | − | 1.06341i | −0.376606 | − | 0.926373i | \(-0.622909\pi\) |
0.990566 | − | 0.137036i | \(-0.0437576\pi\) | |||||||
\(252\) | 3.90817 | + | 2.36234i | 0.246192 | + | 0.148813i | ||||
\(253\) | 15.6444 | − | 4.19190i | 0.983554 | − | 0.263543i | ||||
\(254\) | −19.7378 | + | 19.7378i | −1.23846 | + | 1.23846i | ||||
\(255\) | −4.71041 | + | 1.26215i | −0.294977 | + | 0.0790389i | ||||
\(256\) | −6.89656 | − | 11.9452i | −0.431035 | − | 0.746575i | ||||
\(257\) | −12.6024 | + | 21.8280i | −0.786116 | + | 1.36159i | 0.142215 | + | 0.989836i | \(0.454578\pi\) |
−0.928330 | + | 0.371756i | \(0.878756\pi\) | |||||||
\(258\) | 0.558668 | − | 2.08498i | 0.0347812 | − | 0.129805i | ||||
\(259\) | 11.5031 | − | 11.0499i | 0.714770 | − | 0.686607i | ||||
\(260\) | 3.25803 | + | 1.20155i | 0.202054 | + | 0.0745170i | ||||
\(261\) | 1.03755 | + | 1.79708i | 0.0642225 | + | 0.111237i | ||||
\(262\) | −6.27394 | + | 6.27394i | −0.387605 | + | 0.387605i | ||||
\(263\) | 31.2786 | 1.92872 | 0.964362 | − | 0.264587i | \(-0.0852358\pi\) | ||||
0.964362 | + | 0.264587i | \(0.0852358\pi\) | |||||||
\(264\) | 3.28765 | 0.202341 | ||||||||
\(265\) | 5.33961 | − | 5.33961i | 0.328010 | − | 0.328010i | ||||
\(266\) | −9.92263 | − | 0.199414i | −0.608396 | − | 0.0122268i | ||||
\(267\) | 1.11281 | + | 4.15306i | 0.0681027 | + | 0.254163i | ||||
\(268\) | −9.56834 | − | 2.56383i | −0.584479 | − | 0.156611i | ||||
\(269\) | 7.80980 | − | 4.50899i | 0.476172 | − | 0.274918i | −0.242648 | − | 0.970114i | \(-0.578016\pi\) |
0.718820 | + | 0.695196i | \(0.244683\pi\) | |||||||
\(270\) | 7.29917i | 0.444213i | ||||||||
\(271\) | 3.29000 | − | 0.881552i | 0.199853 | − | 0.0535505i | −0.157504 | − | 0.987518i | \(-0.550345\pi\) |
0.357357 | + | 0.933968i | \(0.383678\pi\) | |||||||
\(272\) | 30.2318 | 1.83308 | ||||||||
\(273\) | 4.87204 | + | 0.546067i | 0.294869 | + | 0.0330495i | ||||
\(274\) | −2.84575 | −0.171918 | ||||||||
\(275\) | 7.42804 | − | 1.99034i | 0.447928 | − | 0.120022i | ||||
\(276\) | 1.82295i | 0.109729i | ||||||||
\(277\) | 3.48926 | − | 2.01452i | 0.209649 | − | 0.121041i | −0.391499 | − | 0.920178i | \(-0.628043\pi\) |
0.601148 | + | 0.799137i | \(0.294710\pi\) | |||||||
\(278\) | 12.9162 | + | 3.46088i | 0.774661 | + | 0.207570i | ||||
\(279\) | 6.13066 | + | 22.8799i | 0.367033 | + | 1.36979i | ||||
\(280\) | 7.67599 | + | 4.63983i | 0.458728 | + | 0.277283i | ||||
\(281\) | −3.28511 | + | 3.28511i | −0.195973 | + | 0.195973i | −0.798271 | − | 0.602298i | \(-0.794252\pi\) |
0.602298 | + | 0.798271i | \(0.294252\pi\) | |||||||
\(282\) | −1.84159 | −0.109665 | ||||||||
\(283\) | 1.02966 | 0.0612069 | 0.0306035 | − | 0.999532i | \(-0.490257\pi\) | ||||
0.0306035 | + | 0.999532i | \(0.490257\pi\) | |||||||
\(284\) | −4.75884 | + | 4.75884i | −0.282385 | + | 0.282385i | ||||
\(285\) | −0.907206 | − | 1.57133i | −0.0537383 | − | 0.0930774i | ||||
\(286\) | 15.2985 | − | 7.05473i | 0.904622 | − | 0.417155i | ||||
\(287\) | 1.27793 | + | 5.18379i | 0.0754340 | + | 0.305989i | ||||
\(288\) | 2.44126 | − | 9.11089i | 0.143852 | − | 0.536864i | ||||
\(289\) | −10.8177 | + | 18.7368i | −0.636336 | + | 1.10217i | ||||
\(290\) | −0.939037 | − | 1.62646i | −0.0551422 | − | 0.0955090i | ||||
\(291\) | 1.79127 | − | 0.479970i | 0.105006 | − | 0.0281364i | ||||
\(292\) | 3.10383 | − | 3.10383i | 0.181638 | − | 0.181638i | ||||
\(293\) | −24.6989 | + | 6.61806i | −1.44293 | + | 0.386631i | −0.893558 | − | 0.448948i | \(-0.851799\pi\) |
−0.549369 | + | 0.835580i | \(0.685132\pi\) | |||||||
\(294\) | −5.57107 | − | 1.73547i | −0.324911 | − | 0.101215i | ||||
\(295\) | 0.672792 | − | 1.16531i | 0.0391715 | − | 0.0678470i | ||||
\(296\) | −11.5944 | − | 6.69404i | −0.673912 | − | 0.389083i | ||||
\(297\) | 6.00455 | + | 6.00455i | 0.348419 | + | 0.348419i | ||||
\(298\) | −6.25144 | − | 3.60927i | −0.362136 | − | 0.209079i | ||||
\(299\) | −8.48897 | − | 18.4088i | −0.490930 | − | 1.06461i | ||||
\(300\) | 0.865547i | 0.0499724i | ||||||||
\(301\) | 0.137656 | − | 6.84963i | 0.00793435 | − | 0.394806i | ||||
\(302\) | −7.29993 | − | 12.6438i | −0.420064 | − | 0.727571i | ||||
\(303\) | − | 10.1189i | − | 0.581318i | ||||||
\(304\) | 2.91127 | + | 10.8650i | 0.166973 | + | 0.623151i | ||||
\(305\) | 2.04506 | − | 7.63226i | 0.117100 | − | 0.437022i | ||||
\(306\) | 19.5041 | + | 19.5041i | 1.11498 | + | 1.11498i | ||||
\(307\) | 14.0195 | + | 14.0195i | 0.800136 | + | 0.800136i | 0.983117 | − | 0.182981i | \(-0.0585745\pi\) |
−0.182981 | + | 0.983117i | \(0.558575\pi\) | |||||||
\(308\) | −4.66858 | + | 1.15092i | −0.266017 | + | 0.0655799i | ||||
\(309\) | 4.18485 | − | 2.41612i | 0.238068 | − | 0.137449i | ||||
\(310\) | −5.54859 | − | 20.7076i | −0.315139 | − | 1.17611i | ||||
\(311\) | −3.20853 | + | 5.55733i | −0.181939 | + | 0.315127i | −0.942541 | − | 0.334091i | \(-0.891571\pi\) |
0.760602 | + | 0.649219i | \(0.224904\pi\) | |||||||
\(312\) | −0.697299 | − | 4.05542i | −0.0394768 | − | 0.229593i | ||||
\(313\) | −21.8008 | + | 12.5867i | −1.23225 | + | 0.711441i | −0.967499 | − | 0.252875i | \(-0.918624\pi\) |
−0.264753 | + | 0.964316i | \(0.585291\pi\) | |||||||
\(314\) | 7.61824 | + | 2.04130i | 0.429922 | + | 0.115197i | ||||
\(315\) | 2.64494 | + | 10.7289i | 0.149026 | + | 0.604505i | ||||
\(316\) | −4.64154 | − | 2.67979i | −0.261107 | − | 0.150750i | ||||
\(317\) | −6.23639 | + | 23.2745i | −0.350271 | + | 1.30723i | 0.536062 | + | 0.844178i | \(0.319911\pi\) |
−0.886333 | + | 0.463049i | \(0.846755\pi\) | |||||||
\(318\) | 3.98291 | + | 1.06722i | 0.223350 | + | 0.0598465i | ||||
\(319\) | −2.11047 | − | 0.565498i | −0.118163 | − | 0.0316618i | ||||
\(320\) | 1.63396 | − | 6.09802i | 0.0913411 | − | 0.340890i | ||||
\(321\) | 0.0319746 | + | 0.0184606i | 0.00178465 | + | 0.00103037i | ||||
\(322\) | 5.77524 | + | 23.4266i | 0.321842 | + | 1.30551i | ||||
\(323\) | −13.8852 | − | 3.72052i | −0.772591 | − | 0.207015i | ||||
\(324\) | 3.65665 | − | 2.11117i | 0.203147 | − | 0.117287i | ||||
\(325\) | −4.03061 | − | 8.74059i | −0.223578 | − | 0.484841i | ||||
\(326\) | 5.18123 | − | 8.97415i | 0.286962 | − | 0.497032i | ||||
\(327\) | 0.974303 | + | 3.63615i | 0.0538791 | + | 0.201079i | ||||
\(328\) | 3.88088 | − | 2.24063i | 0.214286 | − | 0.123718i | ||||
\(329\) | −5.67516 | + | 1.39907i | −0.312882 | + | 0.0771332i | ||||
\(330\) | −2.59210 | − | 2.59210i | −0.142691 | − | 0.142691i | ||||
\(331\) | −4.17975 | − | 4.17975i | −0.229740 | − | 0.229740i | 0.582844 | − | 0.812584i | \(-0.301940\pi\) |
−0.812584 | + | 0.582844i | \(0.801940\pi\) | |||||||
\(332\) | 0.349690 | − | 1.30506i | 0.0191917 | − | 0.0716245i | ||||
\(333\) | −4.26895 | − | 15.9320i | −0.233937 | − | 0.873066i | ||||
\(334\) | − | 16.4234i | − | 0.898648i | ||||||
\(335\) | −11.9848 | − | 20.7583i | −0.654799 | − | 1.13414i | ||||
\(336\) | −0.132881 | + | 6.61202i | −0.00724924 | + | 0.360715i | ||||
\(337\) | − | 11.5318i | − | 0.628179i | −0.949393 | − | 0.314089i | \(-0.898301\pi\) | ||
0.949393 | − | 0.314089i | \(-0.101699\pi\) | |||||||
\(338\) | −11.9470 | − | 17.3750i | −0.649831 | − | 0.945073i | ||||
\(339\) | 7.26140 | + | 4.19237i | 0.394385 | + | 0.227698i | ||||
\(340\) | −4.23304 | − | 4.23304i | −0.229569 | − | 0.229569i | ||||
\(341\) | −21.5993 | − | 12.4703i | −1.16967 | − | 0.675307i | ||||
\(342\) | −5.13136 | + | 8.88778i | −0.277472 | + | 0.480596i | ||||
\(343\) | −18.4866 | − | 1.11577i | −0.998184 | − | 0.0602459i | ||||
\(344\) | −5.55442 | + | 1.48830i | −0.299474 | + | 0.0802439i | ||||
\(345\) | −3.11909 | + | 3.11909i | −0.167926 | + | 0.167926i | ||||
\(346\) | 27.6491 | − | 7.40855i | 1.48642 | − | 0.398286i | ||||
\(347\) | −4.53652 | − | 7.85749i | −0.243533 | − | 0.421812i | 0.718185 | − | 0.695852i | \(-0.244973\pi\) |
−0.961718 | + | 0.274040i | \(0.911640\pi\) | |||||||
\(348\) | 0.122960 | − | 0.212973i | 0.00659136 | − | 0.0114166i | ||||
\(349\) | 7.77792 | − | 29.0276i | 0.416342 | − | 1.55381i | −0.365789 | − | 0.930698i | \(-0.619201\pi\) |
0.782132 | − | 0.623113i | \(-0.214132\pi\) | |||||||
\(350\) | 2.74212 | + | 11.1231i | 0.146572 | + | 0.594554i | ||||
\(351\) | 6.13326 | − | 8.68035i | 0.327369 | − | 0.463323i | ||||
\(352\) | 4.96574 | + | 8.60092i | 0.264675 | + | 0.458431i | ||||
\(353\) | −20.4906 | + | 20.4906i | −1.09060 | + | 1.09060i | −0.0951398 | + | 0.995464i | \(0.530330\pi\) |
−0.995464 | + | 0.0951398i | \(0.969670\pi\) | |||||||
\(354\) | 0.734755 | 0.0390518 | ||||||||
\(355\) | −16.2848 | −0.864310 | ||||||||
\(356\) | −3.73217 | + | 3.73217i | −0.197805 | + | 0.197805i | ||||
\(357\) | −7.23298 | − | 4.37205i | −0.382810 | − | 0.231393i | ||||
\(358\) | −8.48978 | − | 31.6843i | −0.448699 | − | 1.67457i | ||||
\(359\) | −8.52708 | − | 2.28482i | −0.450042 | − | 0.120588i | 0.0266770 | − | 0.999644i | \(-0.491507\pi\) |
−0.476719 | + | 0.879056i | \(0.658174\pi\) | |||||||
\(360\) | 8.03227 | − | 4.63743i | 0.423338 | − | 0.244414i | ||||
\(361\) | 13.6515i | 0.718502i | ||||||||
\(362\) | −27.3628 | + | 7.33185i | −1.43816 | + | 0.385353i | ||||
\(363\) | 1.38848 | 0.0728763 | ||||||||
\(364\) | 2.40989 | + | 5.51474i | 0.126313 | + | 0.289051i | ||||
\(365\) | 10.6214 | 0.555947 | ||||||||
\(366\) | 4.16759 | − | 1.11670i | 0.217843 | − | 0.0583709i | ||||
\(367\) | − | 13.2885i | − | 0.693656i | −0.937929 | − | 0.346828i | \(-0.887259\pi\) | ||
0.937929 | − | 0.346828i | \(-0.112741\pi\) | |||||||
\(368\) | 23.6823 | − | 13.6730i | 1.23452 | − | 0.712752i | ||||
\(369\) | 5.33274 | + | 1.42890i | 0.277611 | + | 0.0743858i | ||||
\(370\) | 3.86364 | + | 14.4193i | 0.200861 | + | 0.749624i | ||||
\(371\) | 13.0847 | + | 0.262962i | 0.679326 | + | 0.0136523i | ||||
\(372\) | 1.98497 | − | 1.98497i | 0.102916 | − | 0.102916i | ||||
\(373\) | −8.24992 | −0.427164 | −0.213582 | − | 0.976925i | \(-0.568513\pi\) | ||||
−0.213582 | + | 0.976925i | \(0.568513\pi\) | |||||||
\(374\) | −29.0428 | −1.50177 | ||||||||
\(375\) | −4.25477 | + | 4.25477i | −0.219715 | + | 0.219715i | ||||
\(376\) | 2.45302 | + | 4.24875i | 0.126505 | + | 0.219113i | ||||
\(377\) | −0.249937 | + | 2.72327i | −0.0128724 | + | 0.140256i | ||||
\(378\) | −9.12305 | + | 8.76358i | −0.469239 | + | 0.450750i | ||||
\(379\) | 0.896568 | − | 3.34604i | 0.0460536 | − | 0.171874i | −0.939069 | − | 0.343730i | \(-0.888310\pi\) |
0.985122 | + | 0.171855i | \(0.0549762\pi\) | |||||||
\(380\) | 1.11368 | − | 1.92894i | 0.0571303 | − | 0.0989526i | ||||
\(381\) | −4.42215 | − | 7.65939i | −0.226554 | − | 0.392402i | ||||
\(382\) | −0.0651586 | + | 0.0174592i | −0.00333381 | + | 0.000893291i | ||||
\(383\) | 24.3450 | − | 24.3450i | 1.24397 | − | 1.24397i | 0.285631 | − | 0.958340i | \(-0.407797\pi\) |
0.958340 | − | 0.285631i | \(-0.0922032\pi\) | |||||||
\(384\) | 6.75272 | − | 1.80939i | 0.344598 | − | 0.0923348i | ||||
\(385\) | −9.95723 | − | 6.01876i | −0.507468 | − | 0.306744i | ||||
\(386\) | −10.1296 | + | 17.5450i | −0.515584 | + | 0.893018i | ||||
\(387\) | −6.13526 | − | 3.54220i | −0.311873 | − | 0.180060i | ||||
\(388\) | 1.60974 | + | 1.60974i | 0.0817221 | + | 0.0817221i | ||||
\(389\) | 8.07601 | + | 4.66269i | 0.409470 | + | 0.236408i | 0.690562 | − | 0.723273i | \(-0.257363\pi\) |
−0.281092 | + | 0.959681i | \(0.590697\pi\) | |||||||
\(390\) | −2.64767 | + | 3.74722i | −0.134070 | + | 0.189748i | ||||
\(391\) | 34.9473i | 1.76736i | ||||||||
\(392\) | 3.41679 | + | 15.1647i | 0.172574 | + | 0.765935i | ||||
\(393\) | −1.40564 | − | 2.43465i | −0.0709053 | − | 0.122812i | ||||
\(394\) | 6.03238i | 0.303907i | ||||||||
\(395\) | −3.35656 | − | 12.5269i | −0.168887 | − | 0.630295i | ||||
\(396\) | −1.28689 | + | 4.80273i | −0.0646686 | + | 0.241346i | ||||
\(397\) | 13.9887 | + | 13.9887i | 0.702073 | + | 0.702073i | 0.964855 | − | 0.262782i | \(-0.0846401\pi\) |
−0.262782 | + | 0.964855i | \(0.584640\pi\) | |||||||
\(398\) | 10.0667 | + | 10.0667i | 0.504596 | + | 0.504596i | ||||
\(399\) | 0.874746 | − | 3.02048i | 0.0437921 | − | 0.151213i | ||||
\(400\) | 11.2445 | − | 6.49199i | 0.562223 | − | 0.324600i | ||||
\(401\) | 3.11669 | + | 11.6317i | 0.155640 | + | 0.580857i | 0.999050 | + | 0.0435858i | \(0.0138782\pi\) |
−0.843409 | + | 0.537271i | \(0.819455\pi\) | |||||||
\(402\) | 6.54427 | − | 11.3350i | 0.326399 | − | 0.565339i | ||||
\(403\) | −10.8014 | + | 29.2883i | −0.538058 | + | 1.45895i | ||||
\(404\) | 10.7577 | − | 6.21095i | 0.535214 | − | 0.309006i | ||||
\(405\) | 9.86881 | + | 2.64434i | 0.490385 | + | 0.131398i | ||||
\(406\) | 0.905438 | − | 3.12645i | 0.0449361 | − | 0.155163i | ||||
\(407\) | 15.0402 | + | 8.68346i | 0.745514 | + | 0.430423i | ||||
\(408\) | −1.83603 | + | 6.85216i | −0.0908970 | + | 0.339232i | ||||
\(409\) | −18.8327 | − | 5.04619i | −0.931215 | − | 0.249518i | −0.238842 | − | 0.971058i | \(-0.576768\pi\) |
−0.692373 | + | 0.721540i | \(0.743435\pi\) | |||||||
\(410\) | −4.82643 | − | 1.29324i | −0.238360 | − | 0.0638685i | ||||
\(411\) | 0.233368 | − | 0.870943i | 0.0115112 | − | 0.0429605i | ||||
\(412\) | 5.13727 | + | 2.96600i | 0.253095 | + | 0.146125i | ||||
\(413\) | 2.26427 | − | 0.558198i | 0.111417 | − | 0.0274671i | ||||
\(414\) | 24.0998 | + | 6.45751i | 1.18444 | + | 0.317369i | ||||
\(415\) | 2.83129 | − | 1.63465i | 0.138983 | − | 0.0802417i | ||||
\(416\) | 9.55630 | − | 7.94963i | 0.468536 | − | 0.389763i | ||||
\(417\) | −2.11841 | + | 3.66919i | −0.103739 | + | 0.179681i | ||||
\(418\) | −2.79677 | − | 10.4377i | −0.136794 | − | 0.510523i | ||||
\(419\) | 3.34749 | − | 1.93268i | 0.163536 | − | 0.0944174i | −0.415999 | − | 0.909365i | \(-0.636568\pi\) |
0.579534 | + | 0.814948i | \(0.303235\pi\) | |||||||
\(420\) | 0.944415 | − | 0.907204i | 0.0460827 | − | 0.0442670i | ||||
\(421\) | 3.65782 | + | 3.65782i | 0.178271 | + | 0.178271i | 0.790602 | − | 0.612331i | \(-0.209768\pi\) |
−0.612331 | + | 0.790602i | \(0.709768\pi\) | |||||||
\(422\) | 7.65379 | + | 7.65379i | 0.372581 | + | 0.372581i | ||||
\(423\) | −1.56435 | + | 5.83824i | −0.0760613 | + | 0.283865i | ||||
\(424\) | −2.84309 | − | 10.6105i | −0.138072 | − | 0.515293i | ||||
\(425\) | 16.5932i | 0.804886i | ||||||||
\(426\) | −4.44616 | − | 7.70097i | −0.215417 | − | 0.373113i | ||||
\(427\) | 11.9947 | − | 6.60744i | 0.580466 | − | 0.319757i | ||||
\(428\) | 0.0453239i | 0.00219081i | ||||||||
\(429\) | 0.904531 | + | 5.26066i | 0.0436712 | + | 0.253987i | ||||
\(430\) | 5.55275 | + | 3.20588i | 0.267778 | + | 0.154601i | ||||
\(431\) | −7.11488 | − | 7.11488i | −0.342712 | − | 0.342712i | 0.514674 | − | 0.857386i | \(-0.327913\pi\) |
−0.857386 | + | 0.514674i | \(0.827913\pi\) | |||||||
\(432\) | 12.4166 | + | 7.16874i | 0.597395 | + | 0.344906i | ||||
\(433\) | 3.80951 | − | 6.59826i | 0.183073 | − | 0.317092i | −0.759852 | − | 0.650096i | \(-0.774729\pi\) |
0.942926 | + | 0.333004i | \(0.108062\pi\) | |||||||
\(434\) | 19.2201 | − | 31.7972i | 0.922596 | − | 1.52631i | ||||
\(435\) | 0.574786 | − | 0.154013i | 0.0275589 | − | 0.00738438i | ||||
\(436\) | −3.26765 | + | 3.26765i | −0.156492 | + | 0.156492i | ||||
\(437\) | −12.5597 | + | 3.36536i | −0.600811 | + | 0.160987i | ||||
\(438\) | 2.89989 | + | 5.02276i | 0.138562 | + | 0.239997i | ||||
\(439\) | 11.1814 | − | 19.3667i | 0.533658 | − | 0.924323i | −0.465569 | − | 0.885012i | \(-0.654150\pi\) |
0.999227 | − | 0.0393115i | \(-0.0125165\pi\) | |||||||
\(440\) | −2.52756 | + | 9.43298i | −0.120497 | + | 0.449700i | ||||
\(441\) | −10.2342 | + | 16.1873i | −0.487343 | + | 0.770823i | ||||
\(442\) | 6.15988 | + | 35.8252i | 0.292996 | + | 1.70403i | ||||
\(443\) | −12.8459 | − | 22.2497i | −0.610326 | − | 1.05712i | −0.991185 | − | 0.132483i | \(-0.957705\pi\) |
0.380859 | − | 0.924633i | \(-0.375628\pi\) | |||||||
\(444\) | −1.38219 | + | 1.38219i | −0.0655958 | + | 0.0655958i | ||||
\(445\) | −12.7716 | −0.605430 | ||||||||
\(446\) | −10.2437 | −0.485053 | ||||||||
\(447\) | 1.61727 | − | 1.61727i | 0.0764945 | − | 0.0764945i | ||||
\(448\) | 9.58354 | − | 5.27921i | 0.452780 | − | 0.249419i | ||||
\(449\) | −0.821652 | − | 3.06645i | −0.0387761 | − | 0.144715i | 0.943824 | − | 0.330449i | \(-0.107200\pi\) |
−0.982600 | + | 0.185735i | \(0.940534\pi\) | |||||||
\(450\) | 11.4427 | + | 3.06606i | 0.539414 | + | 0.144535i | ||||
\(451\) | −5.03425 | + | 2.90653i | −0.237054 | + | 0.136863i | ||||
\(452\) | 10.2930i | 0.484142i | ||||||||
\(453\) | 4.46829 | − | 1.19728i | 0.209939 | − | 0.0562529i | ||||
\(454\) | −38.1954 | −1.79260 | ||||||||
\(455\) | −5.31243 | + | 13.5591i | −0.249051 | + | 0.635662i | ||||
\(456\) | −2.63940 | −0.123601 | ||||||||
\(457\) | 31.7143 | − | 8.49782i | 1.48353 | − | 0.397511i | 0.575985 | − | 0.817460i | \(-0.304619\pi\) |
0.907548 | + | 0.419949i | \(0.137952\pi\) | |||||||
\(458\) | 30.6945i | 1.43426i | ||||||||
\(459\) | −15.8681 | + | 9.16144i | −0.740658 | + | 0.427619i | ||||
\(460\) | −5.23045 | − | 1.40149i | −0.243871 | − | 0.0653450i | ||||
\(461\) | 1.38662 | + | 5.17492i | 0.0645811 | + | 0.241020i | 0.990669 | − | 0.136287i | \(-0.0435169\pi\) |
−0.926088 | + | 0.377307i | \(0.876850\pi\) | |||||||
\(462\) | 0.127654 | − | 6.35196i | 0.00593902 | − | 0.295520i | ||||
\(463\) | −17.0182 | + | 17.0182i | −0.790903 | + | 0.790903i | −0.981641 | − | 0.190738i | \(-0.938912\pi\) |
0.190738 | + | 0.981641i | \(0.438912\pi\) | |||||||
\(464\) | −3.68903 | −0.171259 | ||||||||
\(465\) | 6.79260 | 0.314999 | ||||||||
\(466\) | 8.43282 | − | 8.43282i | 0.390643 | − | 0.390643i | ||||
\(467\) | 3.73447 | + | 6.46829i | 0.172811 | + | 0.299317i | 0.939401 | − | 0.342819i | \(-0.111382\pi\) |
−0.766591 | + | 0.642136i | \(0.778049\pi\) | |||||||
\(468\) | 6.19727 | + | 0.568775i | 0.286469 | + | 0.0262916i | ||||
\(469\) | 11.5560 | − | 39.9024i | 0.533605 | − | 1.84252i | ||||
\(470\) | 1.41582 | − | 5.28393i | 0.0653071 | − | 0.243729i | ||||
\(471\) | −1.24948 | + | 2.16417i | −0.0575732 | + | 0.0997197i | ||||
\(472\) | −0.978701 | − | 1.69516i | −0.0450483 | − | 0.0780260i | ||||
\(473\) | 7.20516 | − | 1.93062i | 0.331294 | − | 0.0887698i | ||||
\(474\) | 5.00743 | − | 5.00743i | 0.229999 | − | 0.229999i | ||||
\(475\) | −5.96340 | + | 1.59789i | −0.273620 | + | 0.0733162i | ||||
\(476\) | 0.208466 | − | 10.3731i | 0.00955502 | − | 0.475449i | ||||
\(477\) | 6.76661 | − | 11.7201i | 0.309822 | − | 0.536627i | ||||
\(478\) | 8.11792 | + | 4.68688i | 0.371305 | + | 0.214373i | ||||
\(479\) | −14.7412 | − | 14.7412i | −0.673544 | − | 0.673544i | 0.284987 | − | 0.958531i | \(-0.408011\pi\) |
−0.958531 | + | 0.284987i | \(0.908011\pi\) | |||||||
\(480\) | −2.34246 | − | 1.35242i | −0.106918 | − | 0.0617293i | ||||
\(481\) | 7.52135 | − | 20.3943i | 0.342944 | − | 0.929900i | ||||
\(482\) | − | 46.6164i | − | 2.12332i | ||||||
\(483\) | −7.64333 | − | 0.153607i | −0.347784 | − | 0.00698935i | ||||
\(484\) | 0.852240 | + | 1.47612i | 0.0387382 | + | 0.0670965i | ||||
\(485\) | 5.50856i | 0.250131i | ||||||||
\(486\) | 5.15647 | + | 19.2442i | 0.233902 | + | 0.872934i | ||||
\(487\) | −4.83239 | + | 18.0347i | −0.218977 | + | 0.817232i | 0.765752 | + | 0.643136i | \(0.222367\pi\) |
−0.984729 | + | 0.174096i | \(0.944300\pi\) | |||||||
\(488\) | −8.12762 | − | 8.12762i | −0.367920 | − | 0.367920i | ||||
\(489\) | 2.32165 | + | 2.32165i | 0.104989 | + | 0.104989i | ||||
\(490\) | 9.26253 | − | 14.6504i | 0.418438 | − | 0.661837i | ||||
\(491\) | 26.9636 | − | 15.5675i | 1.21685 | − | 0.702550i | 0.252609 | − | 0.967569i | \(-0.418711\pi\) |
0.964243 | + | 0.265019i | \(0.0853781\pi\) | |||||||
\(492\) | −0.169340 | − | 0.631987i | −0.00763445 | − | 0.0284922i | ||||
\(493\) | 2.35724 | − | 4.08286i | 0.106165 | − | 0.183883i | ||||
\(494\) | −12.2820 | + | 5.66370i | −0.552594 | + | 0.254822i | ||||
\(495\) | −10.4194 | + | 6.01565i | −0.468317 | + | 0.270383i | ||||
\(496\) | −40.6752 | − | 10.8989i | −1.82637 | − | 0.489374i | ||||
\(497\) | −19.5520 | − | 20.3540i | −0.877029 | − | 0.913003i | ||||
\(498\) | 1.54602 | + | 0.892597i | 0.0692790 | + | 0.0399982i | ||||
\(499\) | −4.79636 | + | 17.9002i | −0.214714 | + | 0.801325i | 0.771553 | + | 0.636166i | \(0.219481\pi\) |
−0.986267 | + | 0.165159i | \(0.947186\pi\) | |||||||
\(500\) | −7.13489 | − | 1.91179i | −0.319082 | − | 0.0854978i | ||||
\(501\) | 5.02639 | + | 1.34682i | 0.224563 | + | 0.0601713i | ||||
\(502\) | −8.16684 | + | 30.4791i | −0.364504 | + | 1.36035i | ||||
\(503\) | 22.0368 | + | 12.7230i | 0.982573 | + | 0.567289i | 0.903046 | − | 0.429544i | \(-0.141326\pi\) |
0.0795268 | + | 0.996833i | \(0.474659\pi\) | |||||||
\(504\) | 15.4400 | + | 4.47151i | 0.687752 | + | 0.199177i | ||||
\(505\) | 29.0335 | + | 7.77950i | 1.29197 | + | 0.346183i | ||||
\(506\) | −22.7508 | + | 13.1352i | −1.01140 | + | 0.583930i | ||||
\(507\) | 6.29735 | − | 2.23154i | 0.279675 | − | 0.0991061i | ||||
\(508\) | 5.42858 | − | 9.40257i | 0.240854 | − | 0.417172i | ||||
\(509\) | 6.41875 | + | 23.9551i | 0.284506 | + | 1.06179i | 0.949200 | + | 0.314674i | \(0.101895\pi\) |
−0.664694 | + | 0.747116i | \(0.731438\pi\) | |||||||
\(510\) | 6.85009 | − | 3.95490i | 0.303327 | − | 0.175126i | ||||
\(511\) | 12.7523 | + | 13.2754i | 0.564129 | + | 0.587268i | ||||
\(512\) | −3.41779 | − | 3.41779i | −0.151046 | − | 0.151046i | ||||
\(513\) | −4.82059 | − | 4.82059i | −0.212834 | − | 0.212834i | ||||
\(514\) | 10.5811 | − | 39.4892i | 0.466712 | − | 1.74179i | ||||
\(515\) | 3.71506 | + | 13.8648i | 0.163705 | + | 0.610955i | ||||
\(516\) | 0.839576i | 0.0369603i | ||||||||
\(517\) | −3.18204 | − | 5.51145i | −0.139946 | − | 0.242393i | ||||
\(518\) | −13.3835 | + | 22.1413i | −0.588039 | + | 0.972833i | ||||
\(519\) | 9.06957i | 0.398110i | ||||||||
\(520\) | 12.1720 | + | 1.11712i | 0.533776 | + | 0.0489891i | ||||
\(521\) | −3.53287 | − | 2.03970i | −0.154778 | − | 0.0893610i | 0.420611 | − | 0.907241i | \(-0.361816\pi\) |
−0.575389 | + | 0.817880i | \(0.695149\pi\) | |||||||
\(522\) | −2.37998 | − | 2.37998i | −0.104169 | − | 0.104169i | ||||
\(523\) | 25.5006 | + | 14.7228i | 1.11506 | + | 0.643781i | 0.940136 | − | 0.340800i | \(-0.110698\pi\) |
0.174926 | + | 0.984582i | \(0.444031\pi\) | |||||||
\(524\) | 1.72555 | − | 2.98874i | 0.0753810 | − | 0.130564i | ||||
\(525\) | −3.62910 | − | 0.0729334i | −0.158387 | − | 0.00318307i | ||||
\(526\) | −49.0053 | + | 13.1309i | −2.13673 | + | 0.572536i | ||||
\(527\) | 38.0532 | − | 38.0532i | 1.65763 | − | 1.65763i | ||||
\(528\) | −6.95522 | + | 1.86365i | −0.302687 | + | 0.0811048i | ||||
\(529\) | 4.30560 | + | 7.45752i | 0.187200 | + | 0.324240i | ||||
\(530\) | −6.12416 | + | 10.6073i | −0.266016 | + | 0.460754i | ||||
\(531\) | 0.624142 | − | 2.32933i | 0.0270854 | − | 0.101084i | ||||
\(532\) | 3.74805 | − | 0.923987i | 0.162498 | − | 0.0400599i | ||||
\(533\) | 4.65304 | + | 5.59345i | 0.201546 | + | 0.242279i | ||||
\(534\) | −3.48695 | − | 6.03957i | −0.150895 | − | 0.261358i | ||||
\(535\) | −0.0775496 | + | 0.0775496i | −0.00335276 | + | 0.00335276i | ||||
\(536\) | −34.8682 | −1.50608 | ||||||||
\(537\) | 10.3932 | 0.448500 | ||||||||
\(538\) | −10.3430 | + | 10.3430i | −0.445917 | + | 0.445917i | ||||
\(539\) | −4.43224 | − | 19.6716i | −0.190910 | − | 0.847315i | ||||
\(540\) | −0.734804 | − | 2.74233i | −0.0316209 | − | 0.118011i | ||||
\(541\) | 36.3539 | + | 9.74099i | 1.56298 | + | 0.418798i | 0.933604 | − | 0.358307i | \(-0.116646\pi\) |
0.629371 | + | 0.777105i | \(0.283312\pi\) | |||||||
\(542\) | −4.78447 | + | 2.76232i | −0.205511 | + | 0.118652i | ||||
\(543\) | − | 8.97567i | − | 0.385183i | ||||||
\(544\) | −20.6993 | + | 5.54637i | −0.887477 | + | 0.237799i | ||||
\(545\) | −11.1820 | −0.478982 | ||||||||
\(546\) | −7.86243 | + | 1.18976i | −0.336481 | + | 0.0509172i | ||||
\(547\) | −36.7251 | −1.57025 | −0.785125 | − | 0.619337i | \(-0.787401\pi\) | ||||
−0.785125 | + | 0.619337i | \(0.787401\pi\) | |||||||
\(548\) | 1.06916 | − | 0.286480i | 0.0456722 | − | 0.0122378i | ||||
\(549\) | − | 14.1607i | − | 0.604365i | ||||||
\(550\) | −10.8022 | + | 6.23666i | −0.460608 | + | 0.265932i | ||||
\(551\) | 1.69433 | + | 0.453995i | 0.0721810 | + | 0.0193408i | ||||
\(552\) | 1.66076 | + | 6.19805i | 0.0706867 | + | 0.263806i | ||||
\(553\) | 11.6270 | − | 19.2354i | 0.494432 | − | 0.817972i | ||||
\(554\) | −4.62103 | + | 4.62103i | −0.196329 | + | 0.196329i | ||||
\(555\) | −4.72988 | −0.200772 | ||||||||
\(556\) | −5.20106 | −0.220574 | ||||||||
\(557\) | −14.1477 | + | 14.1477i | −0.599459 | + | 0.599459i | −0.940168 | − | 0.340710i | \(-0.889333\pi\) |
0.340710 | + | 0.940168i | \(0.389333\pi\) | |||||||
\(558\) | −19.2102 | − | 33.2731i | −0.813233 | − | 1.40856i | ||||
\(559\) | −3.90967 | − | 8.47832i | −0.165361 | − | 0.358595i | ||||
\(560\) | −18.8692 | − | 5.46462i | −0.797368 | − | 0.230922i | ||||
\(561\) | 2.38168 | − | 8.88857i | 0.100555 | − | 0.375276i | ||||
\(562\) | 3.76778 | − | 6.52599i | 0.158934 | − | 0.275282i | ||||
\(563\) | 7.84601 | + | 13.5897i | 0.330670 | + | 0.572737i | 0.982643 | − | 0.185505i | \(-0.0593919\pi\) |
−0.651973 | + | 0.758242i | \(0.726059\pi\) | |||||||
\(564\) | 0.691893 | − | 0.185392i | 0.0291340 | − | 0.00780642i | ||||
\(565\) | −17.6114 | + | 17.6114i | −0.740919 | + | 0.740919i | ||||
\(566\) | −1.61320 | + | 0.432256i | −0.0678079 | + | 0.0181691i | ||||
\(567\) | 8.54367 | + | 15.5096i | 0.358800 | + | 0.651344i | ||||
\(568\) | −11.8447 | + | 20.5155i | −0.496991 | + | 0.860813i | ||||
\(569\) | 4.39537 | + | 2.53767i | 0.184263 | + | 0.106385i | 0.589294 | − | 0.807918i | \(-0.299406\pi\) |
−0.405031 | + | 0.914303i | \(0.632739\pi\) | |||||||
\(570\) | 2.08100 | + | 2.08100i | 0.0871636 | + | 0.0871636i | ||||
\(571\) | 17.5642 | + | 10.1407i | 0.735038 | + | 0.424374i | 0.820262 | − | 0.571988i | \(-0.193827\pi\) |
−0.0852246 | + | 0.996362i | \(0.527161\pi\) | |||||||
\(572\) | −5.03753 | + | 4.19059i | −0.210630 | + | 0.175217i | ||||
\(573\) | − | 0.0213736i | − | 0.000892895i | ||||||
\(574\) | −4.17836 | − | 7.58513i | −0.174401 | − | 0.316597i | ||||
\(575\) | 7.50459 | + | 12.9983i | 0.312963 | + | 0.542068i | ||||
\(576\) | − | 11.3141i | − | 0.471422i | ||||||
\(577\) | −6.77811 | − | 25.2962i | −0.282176 | − | 1.05310i | −0.950878 | − | 0.309566i | \(-0.899816\pi\) |
0.668702 | − | 0.743531i | \(-0.266850\pi\) | |||||||
\(578\) | 9.08265 | − | 33.8969i | 0.377789 | − | 1.40993i | ||||
\(579\) | −4.53898 | − | 4.53898i | −0.188633 | − | 0.188633i | ||||
\(580\) | 0.516535 | + | 0.516535i | 0.0214480 | + | 0.0214480i | ||||
\(581\) | 5.44244 | + | 1.57616i | 0.225790 | + | 0.0653901i | ||||
\(582\) | −2.60495 | + | 1.50397i | −0.107979 | + | 0.0623416i | ||||
\(583\) | 3.68803 | + | 13.7639i | 0.152743 | + | 0.570043i | ||||
\(584\) | 7.72537 | − | 13.3807i | 0.319678 | − | 0.553698i | ||||
\(585\) | 9.63042 | + | 11.5768i | 0.398169 | + | 0.478641i | ||||
\(586\) | 35.9183 | − | 20.7375i | 1.48377 | − | 0.856657i | ||||
\(587\) | −1.75410 | − | 0.470009i | −0.0723994 | − | 0.0193994i | 0.222438 | − | 0.974947i | \(-0.428599\pi\) |
−0.294837 | + | 0.955548i | \(0.595265\pi\) | |||||||
\(588\) | 2.26778 | + | 0.0911874i | 0.0935218 | + | 0.00376050i | ||||
\(589\) | 17.3404 | + | 10.0115i | 0.714498 | + | 0.412516i | ||||
\(590\) | −0.564883 | + | 2.10817i | −0.0232559 | + | 0.0867921i | ||||
\(591\) | −1.84621 | − | 0.494692i | −0.0759431 | − | 0.0203489i | ||||
\(592\) | 28.3233 | + | 7.58921i | 1.16408 | + | 0.311915i | ||||
\(593\) | 8.29320 | − | 30.9506i | 0.340561 | − | 1.27099i | −0.557153 | − | 0.830410i | \(-0.688106\pi\) |
0.897713 | − | 0.440580i | \(-0.145227\pi\) | |||||||
\(594\) | −11.9283 | − | 6.88679i | −0.489423 | − | 0.282568i | ||||
\(595\) | 18.1051 | − | 17.3917i | 0.742238 | − | 0.712992i | ||||
\(596\) | 2.71203 | + | 0.726687i | 0.111089 | + | 0.0297663i | ||||
\(597\) | −3.90644 | + | 2.25538i | −0.159880 | + | 0.0923067i | ||||
\(598\) | 21.0281 | + | 25.2779i | 0.859901 | + | 1.03369i | ||||
\(599\) | 1.81349 | − | 3.14105i | 0.0740970 | − | 0.128340i | −0.826596 | − | 0.562795i | \(-0.809726\pi\) |
0.900693 | + | 0.434456i | \(0.143059\pi\) | |||||||
\(600\) | 0.788539 | + | 2.94287i | 0.0321920 | + | 0.120142i | ||||
\(601\) | −22.0032 | + | 12.7035i | −0.897529 | + | 0.518189i | −0.876398 | − | 0.481588i | \(-0.840060\pi\) |
−0.0211313 | + | 0.999777i | \(0.506727\pi\) | |||||||
\(602\) | 2.65984 | + | 10.7893i | 0.108407 | + | 0.439740i | ||||
\(603\) | −30.3753 | − | 30.3753i | −1.23698 | − | 1.23698i | ||||
\(604\) | 4.01546 | + | 4.01546i | 0.163387 | + | 0.163387i | ||||
\(605\) | −1.06747 | + | 3.98385i | −0.0433988 | + | 0.161967i | ||||
\(606\) | 4.24798 | + | 15.8537i | 0.172563 | + | 0.644012i | ||||
\(607\) | − | 4.07542i | − | 0.165416i | −0.996574 | − | 0.0827081i | \(-0.973643\pi\) | ||
0.996574 | − | 0.0827081i | \(-0.0263569\pi\) | |||||||
\(608\) | −3.98661 | − | 6.90502i | −0.161679 | − | 0.280035i | ||||
\(609\) | 0.882602 | + | 0.533498i | 0.0357648 | + | 0.0216184i | ||||
\(610\) | 12.8162i | 0.518915i | ||||||||
\(611\) | −6.12365 | + | 5.09411i | −0.247736 | + | 0.206085i | ||||
\(612\) | −9.29124 | − | 5.36430i | −0.375576 | − | 0.216839i | ||||
\(613\) | 16.4066 | + | 16.4066i | 0.662658 | + | 0.662658i | 0.956006 | − | 0.293348i | \(-0.0947695\pi\) |
−0.293348 | + | 0.956006i | \(0.594769\pi\) | |||||||
\(614\) | −27.8503 | − | 16.0794i | −1.12395 | − | 0.648911i | ||||
\(615\) | 0.791593 | − | 1.37108i | 0.0319201 | − | 0.0552872i | ||||
\(616\) | −14.8247 | + | 8.16637i | −0.597304 | + | 0.329032i | ||||
\(617\) | 0.685439 | − | 0.183663i | 0.0275948 | − | 0.00739399i | −0.244995 | − | 0.969524i | \(-0.578786\pi\) |
0.272590 | + | 0.962130i | \(0.412120\pi\) | |||||||
\(618\) | −5.54224 | + | 5.54224i | −0.222942 | + | 0.222942i | ||||
\(619\) | −13.2298 | + | 3.54491i | −0.531751 | + | 0.142482i | −0.514697 | − | 0.857372i | \(-0.672095\pi\) |
−0.0170541 | + | 0.999855i | \(0.505429\pi\) | |||||||
\(620\) | 4.16925 | + | 7.22136i | 0.167441 | + | 0.290017i | ||||
\(621\) | −8.28689 | + | 14.3533i | −0.332541 | + | 0.575979i | ||||
\(622\) | 2.69391 | − | 10.0538i | 0.108016 | − | 0.403121i | ||||
\(623\) | −15.3339 | − | 15.9629i | −0.614340 | − | 0.639539i | ||||
\(624\) | 3.77405 | + | 8.18422i | 0.151083 | + | 0.327631i | ||||
\(625\) | −2.26294 | − | 3.91952i | −0.0905174 | − | 0.156781i | ||||
\(626\) | 28.8720 | − | 28.8720i | 1.15396 | − | 1.15396i | ||||
\(627\) | 3.42381 | 0.136734 | ||||||||
\(628\) | −3.06770 | −0.122415 | ||||||||
\(629\) | −26.4976 | + | 26.4976i | −1.05653 | + | 1.05653i | ||||
\(630\) | −8.64797 | − | 15.6990i | −0.344543 | − | 0.625462i | ||||
\(631\) | −0.371814 | − | 1.38763i | −0.0148017 | − | 0.0552407i | 0.958130 | − | 0.286334i | \(-0.0924365\pi\) |
−0.972932 | + | 0.231093i | \(0.925770\pi\) | |||||||
\(632\) | −18.2226 | − | 4.88274i | −0.724858 | − | 0.194225i | ||||
\(633\) | −2.97011 | + | 1.71479i | −0.118051 | + | 0.0681568i | ||||
\(634\) | − | 39.0830i | − | 1.55219i | ||||||
\(635\) | 25.3762 | − | 6.79955i | 1.00703 | − | 0.269832i | ||||
\(636\) | −1.60383 | −0.0635960 | ||||||||
\(637\) | −23.3255 | + | 9.63959i | −0.924189 | + | 0.381935i | ||||
\(638\) | 3.54394 | 0.140306 | ||||||||
\(639\) | −28.1905 | + | 7.55363i | −1.11520 | + | 0.298817i | ||||
\(640\) | 20.7661i | 0.820852i | ||||||||
\(641\) | 9.56157 | − | 5.52037i | 0.377659 | − | 0.218042i | −0.299140 | − | 0.954209i | \(-0.596700\pi\) |
0.676799 | + | 0.736168i | \(0.263366\pi\) | |||||||
\(642\) | −0.0578455 | − | 0.0154997i | −0.00228298 | − | 0.000611723i | ||||
\(643\) | −11.5604 | − | 43.1441i | −0.455899 | − | 1.70144i | −0.685431 | − | 0.728138i | \(-0.740386\pi\) |
0.229532 | − | 0.973301i | \(-0.426281\pi\) | |||||||
\(644\) | −4.52813 | − | 8.22008i | −0.178433 | − | 0.323916i | ||||
\(645\) | −1.43652 | + | 1.43652i | −0.0565630 | + | 0.0565630i | ||||
\(646\) | 23.3162 | 0.917365 | ||||||||
\(647\) | −10.4061 | −0.409105 | −0.204552 | − | 0.978856i | \(-0.565574\pi\) | ||||
−0.204552 | + | 0.978856i | \(0.565574\pi\) | |||||||
\(648\) | 10.5093 | − | 10.5093i | 0.412845 | − | 0.412845i | ||||
\(649\) | 1.26956 | + | 2.19895i | 0.0498347 | + | 0.0863163i | ||||
\(650\) | 9.98423 | + | 12.0021i | 0.391614 | + | 0.470761i | ||||
\(651\) | 8.15538 | + | 8.48990i | 0.319635 | + | 0.332745i | ||||
\(652\) | −1.04318 | + | 3.89321i | −0.0408542 | + | 0.152470i | ||||
\(653\) | 5.21928 | − | 9.04007i | 0.204246 | − | 0.353765i | −0.745646 | − | 0.666342i | \(-0.767859\pi\) |
0.949892 | + | 0.312577i | \(0.101192\pi\) | |||||||
\(654\) | −3.05295 | − | 5.28786i | −0.119380 | − | 0.206772i | ||||
\(655\) | 8.06620 | − | 2.16133i | 0.315172 | − | 0.0844502i | ||||
\(656\) | −6.94012 | + | 6.94012i | −0.270966 | + | 0.270966i | ||||
\(657\) | 18.3865 | − | 4.92666i | 0.717327 | − | 0.192207i | ||||
\(658\) | 8.30413 | − | 4.57443i | 0.323729 | − | 0.178330i | ||||
\(659\) | −3.86557 | + | 6.69537i | −0.150581 | + | 0.260815i | −0.931441 | − | 0.363892i | \(-0.881448\pi\) |
0.780860 | + | 0.624706i | \(0.214781\pi\) | |||||||
\(660\) | 1.23481 | + | 0.712918i | 0.0480649 | + | 0.0277503i | ||||
\(661\) | 31.6749 | + | 31.6749i | 1.23201 | + | 1.23201i | 0.963190 | + | 0.268821i | \(0.0866339\pi\) |
0.268821 | + | 0.963190i | \(0.413366\pi\) | |||||||
\(662\) | 8.30322 | + | 4.79387i | 0.322714 | + | 0.186319i | ||||
\(663\) | −11.4695 | − | 1.05265i | −0.445438 | − | 0.0408815i | ||||
\(664\) | − | 4.75580i | − | 0.184561i | ||||||
\(665\) | 7.99390 | + | 4.83200i | 0.309990 | + | 0.187377i | ||||
\(666\) | 13.3766 | + | 23.1690i | 0.518334 | + | 0.897780i | ||||
\(667\) | − | 4.26443i | − | 0.165119i | ||||||
\(668\) | 1.65334 | + | 6.17033i | 0.0639695 | + | 0.238737i | ||||
\(669\) | 0.840045 | − | 3.13509i | 0.0324780 | − | 0.121210i | ||||
\(670\) | 27.4914 | + | 27.4914i | 1.06208 | + | 1.06208i | ||||
\(671\) | 10.5431 | + | 10.5431i | 0.407012 | + | 0.407012i | ||||
\(672\) | −1.12207 | − | 4.55154i | −0.0432847 | − | 0.175579i | ||||
\(673\) | −19.6804 | + | 11.3625i | −0.758625 | + | 0.437992i | −0.828802 | − | 0.559542i | \(-0.810977\pi\) |
0.0701768 | + | 0.997535i | \(0.477644\pi\) | |||||||
\(674\) | 4.84112 | + | 18.0673i | 0.186473 | + | 0.695927i | ||||
\(675\) | −3.93466 | + | 6.81503i | −0.151445 | + | 0.262311i | ||||
\(676\) | 6.23767 | + | 5.32514i | 0.239910 | + | 0.204813i | ||||
\(677\) | −7.56955 | + | 4.37028i | −0.290921 | + | 0.167964i | −0.638357 | − | 0.769740i | \(-0.720386\pi\) |
0.347436 | + | 0.937704i | \(0.387052\pi\) | |||||||
\(678\) | −13.1367 | − | 3.51996i | −0.504510 | − | 0.135183i | ||||
\(679\) | −6.88502 | + | 6.61373i | −0.264223 | + | 0.253812i | ||||
\(680\) | −18.2488 | − | 10.5359i | −0.699809 | − | 0.404035i | ||||
\(681\) | 3.13226 | − | 11.6897i | 0.120028 | − | 0.447952i | ||||
\(682\) | 39.0754 | + | 10.4702i | 1.49627 | + | 0.400925i | ||||
\(683\) | −2.15549 | − | 0.577561i | −0.0824774 | − | 0.0220998i | 0.217344 | − | 0.976095i | \(-0.430261\pi\) |
−0.299822 | + | 0.953995i | \(0.596927\pi\) | |||||||
\(684\) | 1.03314 | − | 3.85575i | 0.0395032 | − | 0.147428i | ||||
\(685\) | 2.31951 | + | 1.33917i | 0.0886240 | + | 0.0511671i | ||||
\(686\) | 29.4320 | − | 6.01266i | 1.12372 | − | 0.229564i | ||||
\(687\) | −9.39407 | − | 2.51713i | −0.358406 | − | 0.0960346i | ||||
\(688\) | 10.9071 | − | 6.29720i | 0.415828 | − | 0.240078i | ||||
\(689\) | 16.1960 | − | 7.46859i | 0.617019 | − | 0.284531i | ||||
\(690\) | 3.57737 | − | 6.19618i | 0.136188 | − | 0.235885i | ||||
\(691\) | 1.19272 | + | 4.45128i | 0.0453731 | + | 0.169335i | 0.984895 | − | 0.173155i | \(-0.0553963\pi\) |
−0.939521 | + | 0.342490i | \(0.888730\pi\) | |||||||
\(692\) | −9.64206 | + | 5.56685i | −0.366536 | + | 0.211620i | ||||
\(693\) | −20.0286 | − | 5.80040i | −0.760825 | − | 0.220339i | ||||
\(694\) | 10.4061 | + | 10.4061i | 0.395012 | + | 0.395012i | ||||
\(695\) | −8.89907 | − | 8.89907i | −0.337561 | − | 0.337561i | ||||
\(696\) | 0.224041 | − | 0.836132i | 0.00849225 | − | 0.0316935i | ||||
\(697\) | −3.24638 | − | 12.1156i | −0.122965 | − | 0.458913i | ||||
\(698\) | 48.7437i | 1.84498i | ||||||||
\(699\) | 1.88933 | + | 3.27241i | 0.0714609 | + | 0.123774i | ||||
\(700\) | −2.14998 | − | 3.90294i | −0.0812616 | − | 0.147517i | ||||
\(701\) | 10.7910i | 0.407569i | 0.979016 | + | 0.203784i | \(0.0653242\pi\) | ||||
−0.979016 | + | 0.203784i | \(0.934676\pi\) | |||||||
\(702\) | −5.96513 | + | 16.1746i | −0.225139 | + | 0.610470i | ||||
\(703\) | −12.0746 | − | 6.97128i | −0.455403 | − | 0.262927i | ||||
\(704\) | 8.42371 | + | 8.42371i | 0.317481 | + | 0.317481i | ||||
\(705\) | 1.50104 | + | 0.866628i | 0.0565326 | + | 0.0326391i | ||||
\(706\) | 23.5012 | − | 40.7053i | 0.884481 | − | 1.53197i | ||||
\(707\) | 25.1350 | + | 45.6285i | 0.945300 | + | 1.71604i | ||||
\(708\) | −0.276050 | + | 0.0739674i | −0.0103746 | + | 0.00277987i | ||||
\(709\) | 16.3787 | − | 16.3787i | 0.615115 | − | 0.615115i | −0.329160 | − | 0.944274i | \(-0.606765\pi\) |
0.944274 | + | 0.329160i | \(0.106765\pi\) | |||||||
\(710\) | 25.5140 | − | 6.83646i | 0.957524 | − | 0.256568i | ||||
\(711\) | −11.6210 | − | 20.1282i | −0.435823 | − | 0.754867i | ||||
\(712\) | −9.28930 | + | 16.0895i | −0.348131 | + | 0.602981i | ||||
\(713\) | 12.5988 | − | 47.0195i | 0.471830 | − | 1.76090i | ||||
\(714\) | 13.1676 | + | 3.81340i | 0.492783 | + | 0.142713i | ||||
\(715\) | −15.7894 | − | 1.44912i | −0.590490 | − | 0.0541941i | ||||
\(716\) | 6.37929 | + | 11.0493i | 0.238405 | + | 0.412930i | ||||
\(717\) | −2.10014 | + | 2.10014i | −0.0784312 | + | 0.0784312i | ||||
\(718\) | 14.3188 | 0.534374 | ||||||||
\(719\) | 35.8985 | 1.33879 | 0.669394 | − | 0.742907i | \(-0.266554\pi\) | ||||
0.669394 | + | 0.742907i | \(0.266554\pi\) | |||||||
\(720\) | −14.3640 | + | 14.3640i | −0.535314 | + | 0.535314i | ||||
\(721\) | −12.8689 | + | 21.2898i | −0.479261 | + | 0.792874i | ||||
\(722\) | −5.73099 | − | 21.3883i | −0.213285 | − | 0.795991i | ||||
\(723\) | 14.2670 | + | 3.82283i | 0.530595 | + | 0.142172i | ||||
\(724\) | 9.54223 | − | 5.50921i | 0.354634 | − | 0.204748i | ||||
\(725\) | − | 2.02477i | − | 0.0751983i | ||||||
\(726\) | −2.17538 | + | 0.582891i | −0.0807358 | + | 0.0216331i | ||||
\(727\) | −40.7770 | −1.51234 | −0.756168 | − | 0.654377i | \(-0.772931\pi\) | ||||
−0.756168 | + | 0.654377i | \(0.772931\pi\) | |||||||
\(728\) | 13.2178 | + | 16.5547i | 0.489882 | + | 0.613558i | ||||
\(729\) | 13.7655 | 0.509832 | ||||||||
\(730\) | −16.6408 | + | 4.45890i | −0.615905 | + | 0.165031i | ||||
\(731\) | 16.0953i | 0.595305i | ||||||||
\(732\) | −1.45336 | + | 0.839099i | −0.0537178 | + | 0.0310140i | ||||
\(733\) | −24.0007 | − | 6.43098i | −0.886487 | − | 0.237533i | −0.213283 | − | 0.976990i | \(-0.568416\pi\) |
−0.673204 | + | 0.739457i | \(0.735082\pi\) | |||||||
\(734\) | 5.57860 | + | 20.8196i | 0.205910 | + | 0.768466i | ||||
\(735\) | 3.72418 | + | 4.03622i | 0.137368 | + | 0.148878i | ||||
\(736\) | −13.7065 | + | 13.7065i | −0.505227 | + | 0.505227i | ||||
\(737\) | 45.2307 | 1.66610 | ||||||||
\(738\) | −8.95485 | −0.329632 | ||||||||
\(739\) | −30.0193 | + | 30.0193i | −1.10428 | + | 1.10428i | −0.110389 | + | 0.993888i | \(0.535210\pi\) |
−0.993888 | + | 0.110389i | \(0.964790\pi\) | |||||||
\(740\) | −2.90317 | − | 5.02844i | −0.106723 | − | 0.184849i | ||||
\(741\) | −0.726179 | − | 4.22338i | −0.0266768 | − | 0.155150i | ||||
\(742\) | −20.6107 | + | 5.08105i | −0.756643 | + | 0.186531i | ||||
\(743\) | −6.30753 | + | 23.5400i | −0.231401 | + | 0.863600i | 0.748337 | + | 0.663318i | \(0.230852\pi\) |
−0.979738 | + | 0.200282i | \(0.935814\pi\) | |||||||
\(744\) | 4.94054 | − | 8.55727i | 0.181129 | − | 0.313725i | ||||
\(745\) | 3.39695 | + | 5.88369i | 0.124455 | + | 0.215562i | ||||
\(746\) | 12.9254 | − | 3.46336i | 0.473233 | − | 0.126802i | ||||
\(747\) | 4.14300 | − | 4.14300i | 0.151585 | − | 0.151585i | ||||
\(748\) | 10.9115 | − | 2.92373i | 0.398964 | − | 0.106902i | ||||
\(749\) | −0.190036 | − | 0.00381912i | −0.00694375 | − | 0.000139547i | ||||
\(750\) | 4.87992 | − | 8.45226i | 0.178189 | − | 0.308633i | ||||
\(751\) | −24.6348 | − | 14.2229i | −0.898936 | − | 0.519001i | −0.0220813 | − | 0.999756i | \(-0.507029\pi\) |
−0.876855 | + | 0.480755i | \(0.840363\pi\) | |||||||
\(752\) | −7.59797 | − | 7.59797i | −0.277070 | − | 0.277070i | ||||
\(753\) | −8.65841 | − | 4.99894i | −0.315530 | − | 0.182171i | ||||
\(754\) | −0.751658 | − | 4.37156i | −0.0273738 | − | 0.159203i | ||||
\(755\) | 13.7410i | 0.500086i | ||||||||
\(756\) | 2.54534 | − | 4.21093i | 0.0925731 | − | 0.153150i | ||||
\(757\) | −26.0081 | − | 45.0474i | −0.945282 | − | 1.63728i | −0.755187 | − | 0.655510i | \(-0.772454\pi\) |
−0.190095 | − | 0.981766i | \(-0.560880\pi\) | |||||||
\(758\) | 5.61873i | 0.204082i | ||||||||
\(759\) | −2.15433 | − | 8.04006i | −0.0781972 | − | 0.291836i | ||||
\(760\) | 2.02918 | − | 7.57301i | 0.0736062 | − | 0.274702i | ||||
\(761\) | −4.19144 | − | 4.19144i | −0.151939 | − | 0.151939i | 0.627044 | − | 0.778984i | \(-0.284265\pi\) |
−0.778984 | + | 0.627044i | \(0.784265\pi\) | |||||||
\(762\) | 10.1438 | + | 10.1438i | 0.367470 | + | 0.367470i | ||||
\(763\) | −13.4254 | − | 13.9761i | −0.486031 | − | 0.505967i | ||||
\(764\) | 0.0227228 | − | 0.0131190i | 0.000822080 | − | 0.000474628i | ||||
\(765\) | −6.71904 | − | 25.0758i | −0.242927 | − | 0.906617i | ||||
\(766\) | −27.9220 | + | 48.3623i | −1.00886 | + | 1.74740i | ||||
\(767\) | 2.44320 | − | 2.03244i | 0.0882190 | − | 0.0733871i | ||||
\(768\) | −6.13895 | + | 3.54433i | −0.221520 | + | 0.127895i | ||||
\(769\) | −0.310861 | − | 0.0832949i | −0.0112099 | − | 0.00300369i | 0.253210 | − | 0.967411i | \(-0.418514\pi\) |
−0.264420 | + | 0.964408i | \(0.585180\pi\) | |||||||
\(770\) | 18.1270 | + | 5.24969i | 0.653253 | + | 0.189186i | ||||
\(771\) | 11.2180 | + | 6.47670i | 0.404005 | + | 0.233253i | ||||
\(772\) | 2.03949 | − | 7.61148i | 0.0734028 | − | 0.273943i | ||||
\(773\) | 30.7110 | + | 8.22900i | 1.10460 | + | 0.295977i | 0.764636 | − | 0.644462i | \(-0.222919\pi\) |
0.339963 | + | 0.940439i | \(0.389585\pi\) | |||||||
\(774\) | 11.0994 | + | 2.97406i | 0.398958 | + | 0.106900i | ||||
\(775\) | 5.98200 | − | 22.3251i | 0.214880 | − | 0.801942i | ||||
\(776\) | 6.93965 | + | 4.00661i | 0.249119 | + | 0.143829i | ||||
\(777\) | −5.67883 | − | 5.91176i | −0.203727 | − | 0.212083i | ||||
\(778\) | −14.6104 | − | 3.91484i | −0.523807 | − | 0.140354i | ||||
\(779\) | 4.04161 | − | 2.33343i | 0.144806 | − | 0.0836037i | ||||
\(780\) | 0.617508 | − | 1.67439i | 0.0221103 | − | 0.0599526i | ||||
\(781\) | 15.3648 | − | 26.6126i | 0.549796 | − | 0.952274i | ||||
\(782\) | −14.6710 | − | 54.7531i | −0.524635 | − | 1.95797i | ||||
\(783\) | 1.93630 | − | 1.11792i | 0.0691976 | − | 0.0399513i | ||||
\(784\) | −15.8248 | − | 30.1451i | −0.565171 | − | 1.07661i | ||||
\(785\) | −5.24887 | − | 5.24887i | −0.187340 | − | 0.187340i | ||||
\(786\) | 3.22434 | + | 3.22434i | 0.115009 | + | 0.115009i | ||||
\(787\) | −8.68944 | + | 32.4294i | −0.309745 | + | 1.15598i | 0.619038 | + | 0.785361i | \(0.287523\pi\) |
−0.928783 | + | 0.370623i | \(0.879144\pi\) | |||||||
\(788\) | −0.607277 | − | 2.26639i | −0.0216334 | − | 0.0807368i | ||||
\(789\) | − | 16.0749i | − | 0.572282i | ||||||
\(790\) | 10.5177 | + | 18.2172i | 0.374202 | + | 0.648137i | ||||
\(791\) | −43.1569 | − | 0.867317i | −1.53448 | − | 0.0308383i | ||||
\(792\) | 17.5017i | 0.621897i | ||||||||
\(793\) | 10.7691 | − | 15.2414i | 0.382422 | − | 0.541238i | ||||
\(794\) | −27.7891 | − | 16.0440i | −0.986198 | − | 0.569382i | ||||
\(795\) | −2.74417 | − | 2.74417i | −0.0973256 | − | 0.0973256i | ||||
\(796\) | −4.79549 | − | 2.76868i | −0.169972 | − | 0.0981333i | ||||
\(797\) | −6.34434 | + | 10.9887i | −0.224728 | + | 0.389240i | −0.956238 | − | 0.292591i | \(-0.905483\pi\) |
0.731510 | + | 0.681831i | \(0.238816\pi\) | |||||||
\(798\) | −0.102484 | + | 5.09950i | −0.00362789 | + | 0.180520i | ||||
\(799\) | 13.2641 | − | 3.55410i | 0.469250 | − | 0.125735i | ||||
\(800\) | −6.50790 | + | 6.50790i | −0.230089 | + | 0.230089i | ||||
\(801\) | −22.1087 | + | 5.92402i | −0.781174 | + | 0.209315i | ||||
\(802\) | −9.76605 | − | 16.9153i | −0.344851 | − | 0.597300i | ||||
\(803\) | −10.0213 | + | 17.3574i | −0.353644 | + | 0.612529i | ||||
\(804\) | −1.31762 | + | 4.91742i | −0.0464688 | + | 0.173424i | ||||
\(805\) | 6.31697 | − | 21.8123i | 0.222644 | − | 0.768783i | ||||
\(806\) | 4.62759 | − | 50.4215i | 0.163000 | − | 1.77602i | ||||
\(807\) | −2.31729 | − | 4.01366i | −0.0815724 | − | 0.141288i | ||||
\(808\) | 30.9178 | − | 30.9178i | 1.08769 | − | 1.08769i | ||||
\(809\) | −42.8045 | −1.50493 | −0.752463 | − | 0.658635i | \(-0.771134\pi\) | ||||
−0.752463 | + | 0.658635i | \(0.771134\pi\) | |||||||
\(810\) | −16.5719 | −0.582277 | ||||||||
\(811\) | −1.51360 | + | 1.51360i | −0.0531496 | + | 0.0531496i | −0.733182 | − | 0.680032i | \(-0.761966\pi\) |
0.680032 | + | 0.733182i | \(0.261966\pi\) | |||||||
\(812\) | −0.0254380 | + | 1.26577i | −0.000892699 | + | 0.0444199i | ||||
\(813\) | −0.453053 | − | 1.69082i | −0.0158893 | − | 0.0592995i | ||||
\(814\) | −27.2093 | − | 7.29072i | −0.953686 | − | 0.255539i | ||||
\(815\) | −8.44623 | + | 4.87643i | −0.295858 | + | 0.170814i | ||||
\(816\) | − | 15.5369i | − | 0.543902i | ||||||
\(817\) | −5.78447 | + | 1.54994i | −0.202373 | + | 0.0542257i | ||||
\(818\) | 31.6242 | 1.10571 | ||||||||
\(819\) | −2.90698 | + | 25.9362i | −0.101578 | + | 0.906285i | ||||
\(820\) | 1.94350 | 0.0678699 | ||||||||
\(821\) | −36.3415 | + | 9.73769i | −1.26833 | + | 0.339848i | −0.829390 | − | 0.558670i | \(-0.811312\pi\) |
−0.438938 | + | 0.898517i | \(0.644645\pi\) | |||||||
\(822\) | 1.46250i | 0.0510107i | ||||||||
\(823\) | −38.5355 | + | 22.2485i | −1.34326 | + | 0.775533i | −0.987285 | − | 0.158962i | \(-0.949185\pi\) |
−0.355977 | + | 0.934495i | \(0.615852\pi\) | |||||||
\(824\) | 20.1689 | + | 5.40424i | 0.702616 | + | 0.188266i | ||||
\(825\) | −1.02289 | − | 3.81747i | −0.0356124 | − | 0.132907i | ||||
\(826\) | −3.31317 | + | 1.82510i | −0.115280 | + | 0.0635033i | ||||
\(827\) | 12.3898 | − | 12.3898i | 0.430835 | − | 0.430835i | −0.458077 | − | 0.888912i | \(-0.651462\pi\) |
0.888912 | + | 0.458077i | \(0.151462\pi\) | |||||||
\(828\) | −9.70445 | −0.337253 | ||||||||
\(829\) | −42.2761 | −1.46831 | −0.734155 | − | 0.678982i | \(-0.762421\pi\) | ||||
−0.734155 | + | 0.678982i | \(0.762421\pi\) | |||||||
\(830\) | −3.74965 | + | 3.74965i | −0.130152 | + | 0.130152i | ||||
\(831\) | −1.03532 | − | 1.79322i | −0.0359147 | − | 0.0622061i | ||||
\(832\) | 8.60428 | − | 12.1776i | 0.298300 | − | 0.422181i | ||||
\(833\) | 43.4750 | + | 1.74813i | 1.50632 | + | 0.0605690i | ||||
\(834\) | 1.77864 | − | 6.63796i | 0.0615891 | − | 0.229854i | ||||
\(835\) | −7.72863 | + | 13.3864i | −0.267460 | + | 0.463255i | ||||
\(836\) | 2.10151 | + | 3.63993i | 0.0726823 | + | 0.125889i | ||||
\(837\) | 24.6524 | − | 6.60558i | 0.852110 | − | 0.228322i | ||||
\(838\) | −4.43328 | + | 4.43328i | −0.153145 | + | 0.153145i | ||||
\(839\) | −25.6907 | + | 6.88379i | −0.886940 | + | 0.237655i | −0.673399 | − | 0.739279i | \(-0.735166\pi\) |
−0.213541 | + | 0.976934i | \(0.568500\pi\) | |||||||
\(840\) | 2.38453 | − | 3.94489i | 0.0822742 | − | 0.136112i | ||||
\(841\) | 14.2124 | − | 24.6165i | 0.490081 | − | 0.848846i | ||||
\(842\) | −7.26640 | − | 4.19526i | −0.250417 | − | 0.144578i | ||||
\(843\) | 1.68830 | + | 1.68830i | 0.0581482 | + | 0.0581482i | ||||
\(844\) | −3.64606 | − | 2.10506i | −0.125503 | − | 0.0724590i | ||||
\(845\) | 1.56134 | + | 19.7841i | 0.0537117 | + | 0.680593i | ||||
\(846\) | − | 9.80368i | − | 0.337058i | ||||||
\(847\) | −6.26096 | + | 3.44892i | −0.215129 | + | 0.118506i | ||||
\(848\) | 12.0295 | + | 20.8356i | 0.413093 | + | 0.715498i | ||||
\(849\) | − | 0.529169i | − | 0.0181610i | ||||||
\(850\) | −6.96589 | − | 25.9971i | −0.238928 | − | 0.891691i | ||||
\(851\) | −8.77294 | + | 32.7411i | −0.300732 | + | 1.12235i | ||||
\(852\) | 2.44569 | + | 2.44569i | 0.0837881 | + | 0.0837881i | ||||
\(853\) | 0.950856 | + | 0.950856i | 0.0325567 | + | 0.0325567i | 0.723198 | − | 0.690641i | \(-0.242672\pi\) |
−0.690641 | + | 0.723198i | \(0.742672\pi\) | |||||||
\(854\) | −16.0187 | + | 15.3875i | −0.548149 | + | 0.526551i | ||||
\(855\) | 8.36494 | − | 4.82950i | 0.286075 | − | 0.165165i | ||||
\(856\) | 0.0412914 | + | 0.154102i | 0.00141131 | + | 0.00526709i | ||||
\(857\) | 21.1903 | − | 36.7026i | 0.723845 | − | 1.25374i | −0.235602 | − | 0.971850i | \(-0.575706\pi\) |
0.959447 | − | 0.281887i | \(-0.0909605\pi\) | |||||||
\(858\) | −3.62561 | − | 7.86232i | −0.123776 | − | 0.268415i | ||||
\(859\) | −5.83030 | + | 3.36613i | −0.198927 | + | 0.114851i | −0.596155 | − | 0.802869i | \(-0.703306\pi\) |
0.397228 | + | 0.917720i | \(0.369972\pi\) | |||||||
\(860\) | −2.40893 | − | 0.645470i | −0.0821437 | − | 0.0220103i | ||||
\(861\) | 2.66409 | − | 0.656763i | 0.0907918 | − | 0.0223824i | ||||
\(862\) | 14.1340 | + | 8.16026i | 0.481405 | + | 0.277939i | ||||
\(863\) | −4.77484 | + | 17.8200i | −0.162537 | + | 0.606598i | 0.835804 | + | 0.549028i | \(0.185002\pi\) |
−0.998341 | + | 0.0575702i | \(0.981665\pi\) | |||||||
\(864\) | −9.81668 | − | 2.63037i | −0.333970 | − | 0.0894871i | ||||
\(865\) | −26.0226 | − | 6.97273i | −0.884795 | − | 0.237080i | ||||
\(866\) | −3.19850 | + | 11.9370i | −0.108689 | + | 0.405634i | ||||
\(867\) | 9.62934 | + | 5.55950i | 0.327030 | + | 0.188811i | ||||
\(868\) | −4.02008 | + | 13.8812i | −0.136450 | + | 0.471159i | ||||
\(869\) | 23.6383 | + | 6.33386i | 0.801874 | + | 0.214861i | ||||
\(870\) | −0.835881 | + | 0.482596i | −0.0283390 | + | 0.0163615i | ||||
\(871\) | −9.59329 | − | 55.7936i | −0.325056 | − | 1.89049i | ||||
\(872\) | −8.13311 | + | 14.0870i | −0.275422 | + | 0.477045i | ||||
\(873\) | 2.55511 | + | 9.53582i | 0.0864775 | + | 0.322739i | ||||
\(874\) | 18.2649 | − | 10.5452i | 0.617819 | − | 0.356698i | ||||
\(875\) | 8.61702 | − | 29.7543i | 0.291309 | − | 1.00588i | ||||
\(876\) | −1.59514 | − | 1.59514i | −0.0538948 | − | 0.0538948i | ||||
\(877\) | 10.6547 | + | 10.6547i | 0.359785 | + | 0.359785i | 0.863734 | − | 0.503948i | \(-0.168120\pi\) |
−0.503948 | + | 0.863734i | \(0.668120\pi\) | |||||||
\(878\) | −9.38800 | + | 35.0365i | −0.316830 | + | 1.18242i | ||||
\(879\) | 3.40120 | + | 12.6934i | 0.114719 | + | 0.428139i | ||||
\(880\) | − | 21.3888i | − | 0.721018i | ||||||
\(881\) | 22.3633 | + | 38.7344i | 0.753439 | + | 1.30500i | 0.946146 | + | 0.323739i | \(0.104940\pi\) |
−0.192707 | + | 0.981256i | \(0.561727\pi\) | |||||||
\(882\) | 9.23877 | − | 29.6575i | 0.311086 | − | 0.998620i | ||||
\(883\) | − | 46.5076i | − | 1.56510i | −0.622585 | − | 0.782552i | \(-0.713917\pi\) | ||
0.622585 | − | 0.782552i | \(-0.286083\pi\) | |||||||
\(884\) | −5.92080 | − | 12.8396i | −0.199138 | − | 0.431842i | ||||
\(885\) | −0.598884 | − | 0.345766i | −0.0201313 | − | 0.0116228i | ||||
\(886\) | 29.4666 | + | 29.4666i | 0.989951 | + | 0.989951i | ||||
\(887\) | 39.8820 | + | 23.0259i | 1.33911 | + | 0.773133i | 0.986675 | − | 0.162704i | \(-0.0520217\pi\) |
0.352431 | + | 0.935838i | \(0.385355\pi\) | |||||||
\(888\) | −3.44024 | + | 5.95867i | −0.115447 | + | 0.199960i | ||||
\(889\) | 38.9660 | + | 23.5534i | 1.30688 | + | 0.789957i | ||||
\(890\) | 20.0096 | − | 5.36156i | 0.670724 | − | 0.179720i | ||||
\(891\) | −13.6326 | + | 13.6326i | −0.456710 | + | 0.456710i | ||||
\(892\) | 3.84860 | − | 1.03123i | 0.128861 | − | 0.0345281i | ||||
\(893\) | 2.55461 | + | 4.42472i | 0.0854869 | + | 0.148068i | ||||
\(894\) | −1.85490 | + | 3.21278i | −0.0620371 | + | 0.107451i | ||||
\(895\) | −7.99036 | + | 29.8204i | −0.267088 | + | 0.996787i | ||||
\(896\) | −25.9550 | + | 24.9324i | −0.867097 | + | 0.832932i | ||||
\(897\) | −9.46076 | + | 4.36271i | −0.315885 | + | 0.145667i | ||||
\(898\) | 2.57462 | + | 4.45937i | 0.0859161 | + | 0.148811i | ||||
\(899\) | −4.64344 | + | 4.64344i | −0.154867 | + | 0.154867i | ||||
\(900\) | −4.60773 | −0.153591 | ||||||||
\(901\) | −30.7466 | −1.02432 | ||||||||
\(902\) | 6.66715 | − | 6.66715i | 0.221992 | − | 0.221992i | ||||
\(903\) | −3.52020 | − | 0.0707450i | −0.117145 | − | 0.00235424i | ||||
\(904\) | 9.37724 | + | 34.9963i | 0.311882 | + | 1.16396i | ||||
\(905\) | 25.7532 | + | 6.90054i | 0.856064 | + | 0.229382i | ||||
\(906\) | −6.49800 | + | 3.75162i | −0.215882 | + | 0.124639i | ||||
\(907\) | − | 31.8775i | − | 1.05847i | −0.848474 | − | 0.529237i | \(-0.822478\pi\) | ||
0.848474 | − | 0.529237i | \(-0.177522\pi\) | |||||||
\(908\) | 14.3502 | − | 3.84512i | 0.476227 | − | 0.127605i | ||||
\(909\) | 53.8681 | 1.78669 | ||||||||
\(910\) | 2.63098 | − | 23.4737i | 0.0872161 | − | 0.778147i | ||||
\(911\) | 34.8516 | 1.15469 | 0.577343 | − | 0.816502i | \(-0.304090\pi\) | ||||
0.577343 | + | 0.816502i | \(0.304090\pi\) | |||||||
\(912\) | 5.58381 | − | 1.49618i | 0.184899 | − | 0.0495434i | ||||
\(913\) | 6.16918i | 0.204170i | ||||||||
\(914\) | −46.1204 | + | 26.6276i | −1.52553 | + | 0.880764i | ||||
\(915\) | −3.92242 | − | 1.05101i | −0.129671 | − | 0.0347453i | ||||
\(916\) | −3.09000 | − | 11.5320i | −0.102096 | − | 0.381029i | ||||
\(917\) | 12.3859 | + | 7.48679i | 0.409018 | + | 0.247236i | ||||
\(918\) | 21.0150 | − | 21.0150i | 0.693599 | − | 0.693599i | ||||
\(919\) | −3.81023 | −0.125688 | −0.0628439 | − | 0.998023i | \(-0.520017\pi\) | ||||
−0.0628439 | + | 0.998023i | \(0.520017\pi\) | |||||||
\(920\) | −19.0604 | −0.628402 | ||||||||
\(921\) | 7.20500 | − | 7.20500i | 0.237413 | − | 0.237413i | ||||
\(922\) | −4.34491 | − | 7.52561i | −0.143092 | − | 0.247843i | ||||
\(923\) | −36.0864 | − | 13.3085i | −1.18780 | − | 0.438056i | ||||
\(924\) | 0.591489 | + | 2.39931i | 0.0194586 | + | 0.0789315i | ||||
\(925\) | −4.16544 | + | 15.5456i | −0.136959 | + | 0.511137i | ||||
\(926\) | 19.5187 | − | 33.8073i | 0.641423 | − | 1.11098i | ||||
\(927\) | 12.8622 | + | 22.2780i | 0.422450 | + | 0.731705i | ||||
\(928\) | 2.52583 | − | 0.676794i | 0.0829145 | − | 0.0222169i | ||||
\(929\) | 26.6060 | − | 26.6060i | 0.872914 | − | 0.872914i | −0.119875 | − | 0.992789i | \(-0.538249\pi\) |
0.992789 | + | 0.119875i | \(0.0382495\pi\) | |||||||
\(930\) | −10.6422 | + | 2.85157i | −0.348971 | + | 0.0935065i | ||||
\(931\) | 3.55830 | + | 15.7928i | 0.116619 | + | 0.517588i | ||||
\(932\) | −2.31931 | + | 4.01717i | −0.0759717 | + | 0.131587i | ||||
\(933\) | 2.85606 | + | 1.64895i | 0.0935032 | + | 0.0539841i | ||||
\(934\) | −8.56633 | − | 8.56633i | −0.280299 | − | 0.280299i | ||||
\(935\) | 23.6722 | + | 13.6672i | 0.774164 | + | 0.446964i | ||||
\(936\) | 21.5890 | − | 3.71206i | 0.705657 | − | 0.121333i | ||||
\(937\) | 38.0350i | 1.24255i | 0.783593 | + | 0.621275i | \(0.213385\pi\) | ||||
−0.783593 | + | 0.621275i | \(0.786615\pi\) | |||||||
\(938\) | −1.35388 | + | 67.3677i | −0.0442057 | + | 2.19963i | ||||
\(939\) | 6.46863 | + | 11.2040i | 0.211096 | + | 0.365628i | ||||
\(940\) | 2.12772i | 0.0693987i | ||||||||
\(941\) | −6.79732 | − | 25.3679i | −0.221586 | − | 0.826971i | −0.983744 | − | 0.179579i | \(-0.942526\pi\) |
0.762157 | − | 0.647392i | \(-0.224140\pi\) | |||||||
\(942\) | 1.04908 | − | 3.91522i | 0.0341808 | − | 0.127565i | ||||
\(943\) | −8.02260 | − | 8.02260i | −0.261252 | − | 0.261252i | ||||
\(944\) | 3.03143 | + | 3.03143i | 0.0986645 | + | 0.0986645i | ||||
\(945\) | 11.5600 | − | 2.84984i | 0.376048 | − | 0.0927052i | ||||
\(946\) | −10.4781 | + | 6.04952i | −0.340672 | + | 0.196687i | ||||
\(947\) | −2.01713 | − | 7.52805i | −0.0655480 | − | 0.244629i | 0.925376 | − | 0.379050i | \(-0.123749\pi\) |
−0.990924 | + | 0.134421i | \(0.957082\pi\) | |||||||
\(948\) | −1.37722 | + | 2.38541i | −0.0447299 | + | 0.0774745i | ||||
\(949\) | 23.5364 | + | 8.68014i | 0.764023 | + | 0.281769i | ||||
\(950\) | 8.67226 | − | 5.00693i | 0.281365 | − | 0.162446i | ||||
\(951\) | 11.9614 | + | 3.20505i | 0.387875 | + | 0.103931i | ||||
\(952\) | −8.74139 | − | 35.4585i | −0.283310 | − | 1.14922i | ||||
\(953\) | −7.95143 | − | 4.59076i | −0.257572 | − | 0.148709i | 0.365654 | − | 0.930751i | \(-0.380845\pi\) |
−0.623227 | + | 0.782041i | \(0.714179\pi\) | |||||||
\(954\) | −5.68131 | + | 21.2029i | −0.183939 | + | 0.686470i | ||||
\(955\) | 0.0613256 | + | 0.0164321i | 0.00198445 | + | 0.000531732i | ||||
\(956\) | −3.52176 | − | 0.943653i | −0.113902 | − | 0.0305199i | ||||
\(957\) | −0.290624 | + | 1.08462i | −0.00939455 | + | 0.0350609i | ||||
\(958\) | 29.2840 | + | 16.9071i | 0.946124 | + | 0.546245i | ||||
\(959\) | 1.11107 | + | 4.50695i | 0.0358785 | + | 0.145537i | ||||
\(960\) | −3.13393 | − | 0.839735i | −0.101147 | − | 0.0271023i | ||||
\(961\) | −38.0702 | + | 21.9798i | −1.22807 | + | 0.709027i | ||||
\(962\) | −3.22233 | + | 35.1099i | −0.103892 | + | 1.13199i | ||||
\(963\) | −0.0982745 | + | 0.170216i | −0.00316685 | + | 0.00548515i | ||||
\(964\) | 4.69285 | + | 17.5140i | 0.151147 | + | 0.564087i | ||||
\(965\) | 16.5129 | − | 9.53373i | 0.531569 | − | 0.306902i | ||||
\(966\) | 12.0395 | − | 2.96805i | 0.387366 | − | 0.0954954i | ||||
\(967\) | 29.3315 | + | 29.3315i | 0.943237 | + | 0.943237i | 0.998473 | − | 0.0552359i | \(-0.0175911\pi\) |
−0.0552359 | + | 0.998473i | \(0.517591\pi\) | |||||||
\(968\) | 4.24242 | + | 4.24242i | 0.136356 | + | 0.136356i | ||||
\(969\) | −1.91207 | + | 7.13595i | −0.0614246 | + | 0.229240i | ||||
\(970\) | −2.31252 | − | 8.63045i | −0.0742506 | − | 0.277107i | ||||
\(971\) | − | 37.5461i | − | 1.20491i | −0.798153 | − | 0.602455i | \(-0.794189\pi\) | ||
0.798153 | − | 0.602455i | \(-0.205811\pi\) | |||||||
\(972\) | −3.87461 | − | 6.71102i | −0.124278 | − | 0.215256i | ||||
\(973\) | 0.438256 | − | 21.8072i | 0.0140498 | − | 0.699107i | ||||
\(974\) | − | 30.2843i | − | 0.970371i | ||||||
\(975\) | −4.49202 | + | 2.07144i | −0.143860 | + | 0.0663391i | ||||
\(976\) | 21.8017 | + | 12.5872i | 0.697857 | + | 0.402908i | ||||
\(977\) | −20.3670 | − | 20.3670i | −0.651599 | − | 0.651599i | 0.301779 | − | 0.953378i | \(-0.402420\pi\) |
−0.953378 | + | 0.301779i | \(0.902420\pi\) | |||||||
\(978\) | −4.61205 | − | 2.66277i | −0.147477 | − | 0.0851460i | ||||
\(979\) | 12.0500 | − | 20.8712i | 0.385120 | − | 0.667047i | ||||
\(980\) | −2.00512 | + | 6.43666i | −0.0640512 | + | 0.205612i | ||||
\(981\) | −19.3570 | + | 5.18669i | −0.618021 | + | 0.165598i | ||||
\(982\) | −35.7095 | + | 35.7095i | −1.13954 | + | 1.13954i | ||||
\(983\) | 19.0237 | − | 5.09738i | 0.606762 | − | 0.162581i | 0.0576591 | − | 0.998336i | \(-0.481636\pi\) |
0.549102 | + | 0.835755i | \(0.314970\pi\) | |||||||
\(984\) | −1.15152 | − | 1.99449i | −0.0367090 | − | 0.0635819i | ||||
\(985\) | 2.83876 | − | 4.91687i | 0.0904504 | − | 0.156665i | ||||
\(986\) | −1.97916 | + | 7.38633i | −0.0630293 | + | 0.235229i | ||||
\(987\) | 0.719018 | + | 2.91662i | 0.0228866 | + | 0.0928369i | ||||
\(988\) | 4.04424 | − | 3.36430i | 0.128665 | − | 0.107033i | ||||
\(989\) | 7.27941 | + | 12.6083i | 0.231472 | + | 0.400921i | ||||
\(990\) | 13.7990 | − | 13.7990i | 0.438562 | − | 0.438562i | ||||
\(991\) | 35.2204 | 1.11881 | 0.559407 | − | 0.828893i | \(-0.311029\pi\) | ||||
0.559407 | + | 0.828893i | \(0.311029\pi\) | |||||||
\(992\) | 29.8493 | 0.947716 | ||||||||
\(993\) | −2.14808 | + | 2.14808i | −0.0681673 | + | 0.0681673i | ||||
\(994\) | 39.1776 | + | 23.6813i | 1.24264 | + | 0.751125i | ||||
\(995\) | −3.46790 | − | 12.9424i | −0.109940 | − | 0.410301i | ||||
\(996\) | −0.670705 | − | 0.179715i | −0.0212521 | − | 0.00569448i | ||||
\(997\) | −31.7101 | + | 18.3078i | −1.00427 | + | 0.579814i | −0.909508 | − | 0.415686i | \(-0.863541\pi\) |
−0.0947594 | + | 0.995500i | \(0.530208\pi\) | |||||||
\(998\) | − | 30.0584i | − | 0.951483i | ||||||
\(999\) | −17.1662 | + | 4.59966i | −0.543113 | + | 0.145527i |
(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 | 91.2.w.a.24.2 | yes | 28 | |
3.2 | odd | 2 | 819.2.gh.b.388.6 | 28 | |||
7.2 | even | 3 | 637.2.bb.a.362.6 | 28 | |||
7.3 | odd | 6 | 637.2.bd.b.440.6 | 28 | |||
7.4 | even | 3 | 637.2.bd.a.440.6 | 28 | |||
7.5 | odd | 6 | 91.2.ba.a.89.6 | yes | 28 | ||
7.6 | odd | 2 | 637.2.x.a.570.2 | 28 | |||
13.6 | odd | 12 | 91.2.ba.a.45.6 | yes | 28 | ||
21.5 | even | 6 | 819.2.et.b.271.2 | 28 | |||
39.32 | even | 12 | 819.2.et.b.136.2 | 28 | |||
91.6 | even | 12 | 637.2.bb.a.227.6 | 28 | |||
91.19 | even | 12 | inner | 91.2.w.a.19.2 | ✓ | 28 | |
91.32 | odd | 12 | 637.2.bd.b.97.6 | 28 | |||
91.45 | even | 12 | 637.2.bd.a.97.6 | 28 | |||
91.58 | odd | 12 | 637.2.x.a.19.2 | 28 | |||
273.110 | odd | 12 | 819.2.gh.b.19.6 | 28 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
91.2.w.a.19.2 | ✓ | 28 | 91.19 | even | 12 | inner | |
91.2.w.a.24.2 | yes | 28 | 1.1 | even | 1 | trivial | |
91.2.ba.a.45.6 | yes | 28 | 13.6 | odd | 12 | ||
91.2.ba.a.89.6 | yes | 28 | 7.5 | odd | 6 | ||
637.2.x.a.19.2 | 28 | 91.58 | odd | 12 | |||
637.2.x.a.570.2 | 28 | 7.6 | odd | 2 | |||
637.2.bb.a.227.6 | 28 | 91.6 | even | 12 | |||
637.2.bb.a.362.6 | 28 | 7.2 | even | 3 | |||
637.2.bd.a.97.6 | 28 | 91.45 | even | 12 | |||
637.2.bd.a.440.6 | 28 | 7.4 | even | 3 | |||
637.2.bd.b.97.6 | 28 | 91.32 | odd | 12 | |||
637.2.bd.b.440.6 | 28 | 7.3 | odd | 6 | |||
819.2.et.b.136.2 | 28 | 39.32 | even | 12 | |||
819.2.et.b.271.2 | 28 | 21.5 | even | 6 | |||
819.2.gh.b.19.6 | 28 | 273.110 | odd | 12 | |||
819.2.gh.b.388.6 | 28 | 3.2 | odd | 2 |