Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [171,2,Mod(25,171)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(171, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([12, 14]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("171.25");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 171 = 3^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 171.v (of order \(9\), degree \(6\), 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: | \(1.36544187456\) |
Analytic rank: | \(0\) |
Dimension: | \(108\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 130.4 | ||
Character | \(\chi\) | \(=\) | 171.130 |
Dual form | 171.2.v.a.25.4 |
$q$-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 \(\left(\mathbb{Z}/171\mathbb{Z}\right)^\times\).
\(n\) | \(20\) | \(154\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{2}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.351652 | + | 1.99432i | −0.248655 | + | 1.41019i | 0.563192 | + | 0.826326i | \(0.309573\pi\) |
−0.811848 | + | 0.583869i | \(0.801538\pi\) | |||||||
\(3\) | −0.903452 | − | 1.47776i | −0.521608 | − | 0.853185i | ||||
\(4\) | −1.97425 | − | 0.718570i | −0.987127 | − | 0.359285i | ||||
\(5\) | 1.25384 | + | 1.05209i | 0.560733 | + | 0.470511i | 0.878556 | − | 0.477639i | \(-0.158507\pi\) |
−0.317823 | + | 0.948150i | \(0.602952\pi\) | |||||||
\(6\) | 3.26482 | − | 1.28211i | 1.33286 | − | 0.523420i | ||||
\(7\) | −1.67092 | + | 2.89412i | −0.631548 | + | 1.09387i | 0.355688 | + | 0.934605i | \(0.384247\pi\) |
−0.987235 | + | 0.159268i | \(0.949087\pi\) | |||||||
\(8\) | 0.102224 | − | 0.177058i | 0.0361418 | − | 0.0625994i | ||||
\(9\) | −1.36755 | + | 2.67017i | −0.455850 | + | 0.890057i | ||||
\(10\) | −2.53912 | + | 2.13058i | −0.802941 | + | 0.673748i | ||||
\(11\) | 4.59858 | 1.38652 | 0.693262 | − | 0.720686i | \(-0.256173\pi\) | ||||
0.693262 | + | 0.720686i | \(0.256173\pi\) | |||||||
\(12\) | 0.721770 | + | 3.56667i | 0.208357 | + | 1.02961i | ||||
\(13\) | −4.60962 | + | 3.86793i | −1.27848 | + | 1.07277i | −0.285026 | + | 0.958520i | \(0.592002\pi\) |
−0.993452 | + | 0.114251i | \(0.963553\pi\) | |||||||
\(14\) | −5.18420 | − | 4.35006i | −1.38554 | − | 1.16260i | ||||
\(15\) | 0.421961 | − | 2.80339i | 0.108950 | − | 0.723831i | ||||
\(16\) | −2.90169 | − | 2.43481i | −0.725423 | − | 0.608702i | ||||
\(17\) | 2.52648 | + | 2.11996i | 0.612760 | + | 0.514167i | 0.895519 | − | 0.445024i | \(-0.146805\pi\) |
−0.282758 | + | 0.959191i | \(0.591249\pi\) | |||||||
\(18\) | −4.84426 | − | 3.66630i | −1.14180 | − | 0.864155i | ||||
\(19\) | 1.24581 | − | 4.17707i | 0.285809 | − | 0.958287i | ||||
\(20\) | −1.71939 | − | 2.97807i | −0.384467 | − | 0.665917i | ||||
\(21\) | 5.78640 | − | 0.145477i | 1.26270 | − | 0.0317458i | ||||
\(22\) | −1.61710 | + | 9.17102i | −0.344767 | + | 1.95527i | ||||
\(23\) | 3.34469 | + | 1.21737i | 0.697416 | + | 0.253839i | 0.666307 | − | 0.745677i | \(-0.267874\pi\) |
0.0311090 | + | 0.999516i | \(0.490096\pi\) | |||||||
\(24\) | −0.354004 | + | 0.00890010i | −0.0722607 | + | 0.00181672i | ||||
\(25\) | −0.403036 | − | 2.28573i | −0.0806072 | − | 0.457146i | ||||
\(26\) | −6.09289 | − | 10.5532i | −1.19491 | − | 2.06965i | ||||
\(27\) | 5.18139 | − | 0.391460i | 0.997158 | − | 0.0753364i | ||||
\(28\) | 5.37844 | − | 4.51305i | 1.01643 | − | 0.852886i | ||||
\(29\) | −5.37998 | − | 1.95815i | −0.999038 | − | 0.363620i | −0.209824 | − | 0.977739i | \(-0.567289\pi\) |
−0.789213 | + | 0.614119i | \(0.789511\pi\) | |||||||
\(30\) | 5.44246 | + | 1.82734i | 0.993652 | + | 0.333625i | ||||
\(31\) | 4.21052 | 0.756231 | 0.378115 | − | 0.925758i | \(-0.376572\pi\) | ||||
0.378115 | + | 0.925758i | \(0.376572\pi\) | |||||||
\(32\) | 6.18940 | − | 5.19352i | 1.09414 | − | 0.918094i | ||||
\(33\) | −4.15459 | − | 6.79560i | −0.723222 | − | 1.18296i | ||||
\(34\) | −5.11632 | + | 4.29310i | −0.877442 | + | 0.736261i | ||||
\(35\) | −5.13994 | + | 1.87079i | −0.868809 | + | 0.316220i | ||||
\(36\) | 4.61860 | − | 4.28892i | 0.769766 | − | 0.714819i | ||||
\(37\) | 5.19847 | 0.854623 | 0.427312 | − | 0.904104i | \(-0.359461\pi\) | ||||
0.427312 | + | 0.904104i | \(0.359461\pi\) | |||||||
\(38\) | 7.89232 | + | 3.95342i | 1.28030 | + | 0.641329i | ||||
\(39\) | 9.88044 | + | 3.31742i | 1.58214 | + | 0.531213i | ||||
\(40\) | 0.314454 | − | 0.114452i | 0.0497196 | − | 0.0180964i | ||||
\(41\) | −0.770270 | + | 4.36842i | −0.120296 | + | 0.682232i | 0.863695 | + | 0.504015i | \(0.168144\pi\) |
−0.983991 | + | 0.178218i | \(0.942967\pi\) | |||||||
\(42\) | −1.74467 | + | 11.5911i | −0.269209 | + | 1.78854i | ||||
\(43\) | −1.63995 | + | 0.596894i | −0.250090 | + | 0.0910254i | −0.464024 | − | 0.885823i | \(-0.653595\pi\) |
0.213933 | + | 0.976848i | \(0.431372\pi\) | |||||||
\(44\) | −9.07877 | − | 3.30440i | −1.36868 | − | 0.498157i | ||||
\(45\) | −4.52395 | + | 1.90917i | −0.674391 | + | 0.284602i | ||||
\(46\) | −3.60398 | + | 6.24228i | −0.531379 | + | 0.920375i | ||||
\(47\) | 3.47002 | + | 1.26298i | 0.506155 | + | 0.184225i | 0.582460 | − | 0.812859i | \(-0.302090\pi\) |
−0.0763055 | + | 0.997084i | \(0.524312\pi\) | |||||||
\(48\) | −0.976525 | + | 6.48774i | −0.140949 | + | 0.936424i | ||||
\(49\) | −2.08394 | − | 3.60949i | −0.297705 | − | 0.515641i | ||||
\(50\) | 4.70020 | 0.664708 | ||||||||
\(51\) | 0.850250 | − | 5.64881i | 0.119059 | − | 0.790992i | ||||
\(52\) | 11.8799 | − | 4.32394i | 1.64745 | − | 0.599623i | ||||
\(53\) | −1.03632 | − | 5.87728i | −0.142350 | − | 0.807306i | −0.969457 | − | 0.245262i | \(-0.921126\pi\) |
0.827107 | − | 0.562044i | \(-0.189985\pi\) | |||||||
\(54\) | −1.04135 | + | 10.4710i | −0.141710 | + | 1.42492i | ||||
\(55\) | 5.76587 | + | 4.83814i | 0.777469 | + | 0.652374i | ||||
\(56\) | 0.341617 | + | 0.591698i | 0.0456505 | + | 0.0790690i | ||||
\(57\) | −7.29824 | + | 1.93278i | −0.966676 | + | 0.256002i | ||||
\(58\) | 5.79706 | − | 10.0408i | 0.761191 | − | 1.31842i | ||||
\(59\) | 7.28192 | − | 2.65040i | 0.948026 | − | 0.345053i | 0.178695 | − | 0.983904i | \(-0.442812\pi\) |
0.769330 | + | 0.638851i | \(0.220590\pi\) | |||||||
\(60\) | −2.84749 | + | 5.23139i | −0.367609 | + | 0.675370i | ||||
\(61\) | 0.905056 | − | 0.759432i | 0.115881 | − | 0.0972354i | −0.583006 | − | 0.812468i | \(-0.698124\pi\) |
0.698887 | + | 0.715232i | \(0.253679\pi\) | |||||||
\(62\) | −1.48064 | + | 8.39710i | −0.188041 | + | 1.06643i | ||||
\(63\) | −5.44272 | − | 8.41948i | −0.685718 | − | 1.06076i | ||||
\(64\) | 4.39313 | + | 7.60912i | 0.549141 | + | 0.951140i | ||||
\(65\) | −9.84913 | −1.22163 | ||||||||
\(66\) | 15.0135 | − | 5.89589i | 1.84804 | − | 0.725734i | ||||
\(67\) | −2.62337 | − | 14.8778i | −0.320495 | − | 1.81762i | −0.539606 | − | 0.841918i | \(-0.681427\pi\) |
0.219111 | − | 0.975700i | \(-0.429684\pi\) | |||||||
\(68\) | −3.46456 | − | 6.00080i | −0.420140 | − | 0.727704i | ||||
\(69\) | −1.22279 | − | 6.04249i | −0.147207 | − | 0.727430i | ||||
\(70\) | −1.92347 | − | 10.9085i | −0.229899 | − | 1.30382i | ||||
\(71\) | −0.582229 | + | 3.30198i | −0.0690978 | + | 0.391873i | 0.930570 | + | 0.366113i | \(0.119312\pi\) |
−0.999668 | + | 0.0257600i | \(0.991799\pi\) | |||||||
\(72\) | 0.332977 | + | 0.515092i | 0.0392418 | + | 0.0607041i | ||||
\(73\) | 3.14639 | − | 1.14519i | 0.368257 | − | 0.134035i | −0.151261 | − | 0.988494i | \(-0.548333\pi\) |
0.519519 | + | 0.854459i | \(0.326111\pi\) | |||||||
\(74\) | −1.82805 | + | 10.3674i | −0.212507 | + | 1.20519i | ||||
\(75\) | −3.01364 | + | 2.66064i | −0.347985 | + | 0.307224i | ||||
\(76\) | −5.46107 | + | 7.35141i | −0.626428 | + | 0.843264i | ||||
\(77\) | −7.68385 | + | 13.3088i | −0.875656 | + | 1.51668i | ||||
\(78\) | −10.0905 | + | 18.5381i | −1.14252 | + | 2.09903i | ||||
\(79\) | −5.33963 | − | 4.48048i | −0.600755 | − | 0.504094i | 0.290933 | − | 0.956743i | \(-0.406034\pi\) |
−0.891688 | + | 0.452650i | \(0.850479\pi\) | |||||||
\(80\) | −1.07660 | − | 6.10571i | −0.120368 | − | 0.682639i | ||||
\(81\) | −5.25962 | − | 7.30318i | −0.584402 | − | 0.811464i | ||||
\(82\) | −8.44114 | − | 3.07232i | −0.932168 | − | 0.339281i | ||||
\(83\) | 3.00716 | − | 5.20856i | 0.330079 | − | 0.571714i | −0.652448 | − | 0.757833i | \(-0.726258\pi\) |
0.982527 | + | 0.186120i | \(0.0595913\pi\) | |||||||
\(84\) | −11.5284 | − | 3.87073i | −1.25785 | − | 0.422331i | ||||
\(85\) | 0.937386 | + | 5.31618i | 0.101674 | + | 0.576621i | ||||
\(86\) | −0.613703 | − | 3.48048i | −0.0661773 | − | 0.375310i | ||||
\(87\) | 1.96687 | + | 9.71942i | 0.210871 | + | 1.04203i | ||||
\(88\) | 0.470087 | − | 0.814214i | 0.0501114 | − | 0.0867955i | ||||
\(89\) | 3.61385 | + | 1.31534i | 0.383068 | + | 0.139425i | 0.526374 | − | 0.850253i | \(-0.323551\pi\) |
−0.143306 | + | 0.989678i | \(0.545773\pi\) | |||||||
\(90\) | −2.21663 | − | 9.69356i | −0.233653 | − | 1.02179i | ||||
\(91\) | −3.49194 | − | 19.8038i | −0.366055 | − | 2.07600i | ||||
\(92\) | −5.72851 | − | 4.80679i | −0.597238 | − | 0.501143i | ||||
\(93\) | −3.80400 | − | 6.22213i | −0.394456 | − | 0.645205i | ||||
\(94\) | −3.73903 | + | 6.47619i | −0.385652 | + | 0.667968i | ||||
\(95\) | 5.95672 | − | 3.92666i | 0.611146 | − | 0.402867i | ||||
\(96\) | −13.2666 | − | 4.45435i | −1.35402 | − | 0.454620i | ||||
\(97\) | −1.96859 | + | 11.1645i | −0.199880 | + | 1.13358i | 0.705415 | + | 0.708795i | \(0.250761\pi\) |
−0.905295 | + | 0.424783i | \(0.860350\pi\) | |||||||
\(98\) | 7.93128 | − | 2.88675i | 0.801180 | − | 0.291606i | ||||
\(99\) | −6.28879 | + | 12.2790i | −0.632047 | + | 1.23408i | ||||
\(100\) | −0.846762 | + | 4.80222i | −0.0846762 | + | 0.480222i | ||||
\(101\) | 2.50110 | + | 14.1844i | 0.248869 | + | 1.41140i | 0.811334 | + | 0.584583i | \(0.198742\pi\) |
−0.562465 | + | 0.826821i | \(0.690147\pi\) | |||||||
\(102\) | 10.9665 | + | 3.68208i | 1.08585 | + | 0.364581i | ||||
\(103\) | 8.05650 | + | 13.9543i | 0.793830 | + | 1.37495i | 0.923579 | + | 0.383408i | \(0.125250\pi\) |
−0.129749 | + | 0.991547i | \(0.541417\pi\) | |||||||
\(104\) | 0.213632 | + | 1.21157i | 0.0209483 | + | 0.118804i | ||||
\(105\) | 7.40826 | + | 5.90543i | 0.722972 | + | 0.576311i | ||||
\(106\) | 12.0856 | 1.17385 | ||||||||
\(107\) | 2.96510 | + | 5.13570i | 0.286647 | + | 0.496487i | 0.973007 | − | 0.230775i | \(-0.0741261\pi\) |
−0.686360 | + | 0.727261i | \(0.740793\pi\) | |||||||
\(108\) | −10.5107 | − | 2.95035i | −1.01139 | − | 0.283897i | ||||
\(109\) | −0.684068 | + | 3.87954i | −0.0655219 | + | 0.371593i | 0.934362 | + | 0.356326i | \(0.115971\pi\) |
−0.999883 | + | 0.0152667i | \(0.995140\pi\) | |||||||
\(110\) | −11.6764 | + | 9.79763i | −1.11330 | + | 0.934167i | ||||
\(111\) | −4.69657 | − | 7.68209i | −0.445778 | − | 0.729152i | ||||
\(112\) | 11.8951 | − | 4.32947i | 1.12398 | − | 0.409096i | ||||
\(113\) | −2.64486 | + | 4.58103i | −0.248808 | + | 0.430947i | −0.963195 | − | 0.268803i | \(-0.913372\pi\) |
0.714388 | + | 0.699750i | \(0.246705\pi\) | |||||||
\(114\) | −1.28813 | − | 15.2347i | −0.120644 | − | 1.42686i | ||||
\(115\) | 2.91291 | + | 5.04531i | 0.271630 | + | 0.470478i | ||||
\(116\) | 9.21439 | + | 7.73179i | 0.855534 | + | 0.717878i | ||||
\(117\) | −4.02415 | − | 17.5980i | −0.372032 | − | 1.62694i | ||||
\(118\) | 2.72504 | + | 15.4545i | 0.250860 | + | 1.42270i | ||||
\(119\) | −10.3570 | + | 3.76962i | −0.949421 | + | 0.345561i | ||||
\(120\) | −0.453227 | − | 0.361286i | −0.0413737 | − | 0.0329807i | ||||
\(121\) | 10.1469 | 0.922448 | ||||||||
\(122\) | 1.19628 | + | 2.07202i | 0.108306 | + | 0.187592i | ||||
\(123\) | 7.15138 | − | 2.80838i | 0.644818 | − | 0.253223i | ||||
\(124\) | −8.31263 | − | 3.02555i | −0.746496 | − | 0.271702i | ||||
\(125\) | 5.99138 | − | 10.3774i | 0.535885 | − | 0.928181i | ||||
\(126\) | 18.7051 | − | 7.89377i | 1.66638 | − | 0.703233i | ||||
\(127\) | −17.4043 | − | 6.33463i | −1.54438 | − | 0.562108i | −0.577288 | − | 0.816541i | \(-0.695889\pi\) |
−0.967090 | + | 0.254433i | \(0.918111\pi\) | |||||||
\(128\) | −1.53499 | + | 0.558692i | −0.135676 | + | 0.0493819i | ||||
\(129\) | 2.36368 | + | 1.88419i | 0.208111 | + | 0.165894i | ||||
\(130\) | 3.46347 | − | 19.6423i | 0.303766 | − | 1.72274i | ||||
\(131\) | 9.50535 | − | 3.45967i | 0.830487 | − | 0.302272i | 0.108428 | − | 0.994104i | \(-0.465418\pi\) |
0.722059 | + | 0.691832i | \(0.243196\pi\) | |||||||
\(132\) | 3.31912 | + | 16.4016i | 0.288892 | + | 1.42758i | ||||
\(133\) | 10.0073 | + | 10.5851i | 0.867742 | + | 0.917842i | ||||
\(134\) | 30.5936 | 2.64289 | ||||||||
\(135\) | 6.90846 | + | 4.96048i | 0.594586 | + | 0.426930i | ||||
\(136\) | 0.633624 | − | 0.230620i | 0.0543328 | − | 0.0197755i | ||||
\(137\) | 2.28559 | − | 1.91784i | 0.195271 | − | 0.163852i | −0.539910 | − | 0.841723i | \(-0.681542\pi\) |
0.735181 | + | 0.677871i | \(0.237097\pi\) | |||||||
\(138\) | 12.4806 | − | 0.313779i | 1.06242 | − | 0.0267106i | ||||
\(139\) | −9.96119 | + | 8.35843i | −0.844897 | + | 0.708953i | −0.958660 | − | 0.284555i | \(-0.908154\pi\) |
0.113762 | + | 0.993508i | \(0.463710\pi\) | |||||||
\(140\) | 11.4918 | 0.971238 | ||||||||
\(141\) | −1.26861 | − | 6.26891i | −0.106836 | − | 0.527937i | ||||
\(142\) | −6.38046 | − | 2.32230i | −0.535436 | − | 0.194883i | ||||
\(143\) | −21.1977 | + | 17.7870i | −1.77264 | + | 1.48742i | ||||
\(144\) | 10.4696 | − | 4.41829i | 0.872464 | − | 0.368191i | ||||
\(145\) | −4.68546 | − | 8.11545i | −0.389106 | − | 0.673952i | ||||
\(146\) | 1.17744 | + | 6.67761i | 0.0974459 | + | 0.552643i | ||||
\(147\) | −3.45122 | + | 6.34056i | −0.284652 | + | 0.522960i | ||||
\(148\) | −10.2631 | − | 3.73547i | −0.843622 | − | 0.307053i | ||||
\(149\) | −1.50450 | + | 8.53242i | −0.123253 | + | 0.699003i | 0.859077 | + | 0.511847i | \(0.171038\pi\) |
−0.982330 | + | 0.187157i | \(0.940073\pi\) | |||||||
\(150\) | −4.24640 | − | 6.94577i | −0.346717 | − | 0.567119i | ||||
\(151\) | −2.80454 | − | 4.85761i | −0.228230 | − | 0.395307i | 0.729053 | − | 0.684457i | \(-0.239961\pi\) |
−0.957284 | + | 0.289150i | \(0.906627\pi\) | |||||||
\(152\) | −0.612231 | − | 0.647579i | −0.0496585 | − | 0.0525256i | ||||
\(153\) | −9.11575 | + | 3.84696i | −0.736964 | + | 0.311008i | ||||
\(154\) | −23.8400 | − | 20.0041i | −1.92108 | − | 1.61198i | ||||
\(155\) | 5.27930 | + | 4.42986i | 0.424044 | + | 0.355815i | ||||
\(156\) | −17.1227 | − | 13.6492i | −1.37091 | − | 1.09281i | ||||
\(157\) | 1.54137 | + | 1.29336i | 0.123015 | + | 0.103222i | 0.702220 | − | 0.711960i | \(-0.252192\pi\) |
−0.579205 | + | 0.815182i | \(0.696637\pi\) | |||||||
\(158\) | 10.8132 | − | 9.07335i | 0.860251 | − | 0.721837i | ||||
\(159\) | −7.74894 | + | 6.84127i | −0.614531 | + | 0.542548i | ||||
\(160\) | 13.2246 | 1.04549 | ||||||||
\(161\) | −9.11191 | + | 7.64580i | −0.718119 | + | 0.602574i | ||||
\(162\) | 16.4144 | − | 7.92116i | 1.28964 | − | 0.622345i | ||||
\(163\) | −4.29730 | + | 7.44314i | −0.336590 | + | 0.582991i | −0.983789 | − | 0.179330i | \(-0.942607\pi\) |
0.647199 | + | 0.762321i | \(0.275940\pi\) | |||||||
\(164\) | 4.65972 | − | 8.07088i | 0.363863 | − | 0.630230i | ||||
\(165\) | 1.94042 | − | 12.8916i | 0.151062 | − | 1.00361i | ||||
\(166\) | 9.33004 | + | 7.82883i | 0.724152 | + | 0.607635i | ||||
\(167\) | −5.39635 | − | 1.96411i | −0.417582 | − | 0.151988i | 0.124680 | − | 0.992197i | \(-0.460210\pi\) |
−0.542262 | + | 0.840210i | \(0.682432\pi\) | |||||||
\(168\) | 0.565753 | − | 1.03940i | 0.0436488 | − | 0.0801914i | ||||
\(169\) | 4.03028 | − | 22.8568i | 0.310021 | − | 1.75822i | ||||
\(170\) | −10.9318 | −0.838429 | ||||||||
\(171\) | 9.44979 | + | 9.03888i | 0.722644 | + | 0.691221i | ||||
\(172\) | 3.66659 | 0.279575 | ||||||||
\(173\) | −0.955522 | + | 5.41903i | −0.0726470 | + | 0.412001i | 0.926698 | + | 0.375807i | \(0.122635\pi\) |
−0.999345 | + | 0.0361941i | \(0.988477\pi\) | |||||||
\(174\) | −20.0753 | + | 0.504717i | −1.52190 | + | 0.0382625i | ||||
\(175\) | 7.28861 | + | 2.65284i | 0.550967 | + | 0.200536i | ||||
\(176\) | −13.3437 | − | 11.1967i | −1.00582 | − | 0.843980i | ||||
\(177\) | −10.4955 | − | 8.36642i | −0.788892 | − | 0.628859i | ||||
\(178\) | −3.89401 | + | 6.74463i | −0.291869 | + | 0.505531i | ||||
\(179\) | 12.1665 | − | 21.0730i | 0.909368 | − | 1.57507i | 0.0944228 | − | 0.995532i | \(-0.469899\pi\) |
0.814945 | − | 0.579539i | \(-0.196767\pi\) | |||||||
\(180\) | 10.3033 | − | 0.518404i | 0.767963 | − | 0.0386395i | ||||
\(181\) | −2.37856 | + | 1.99585i | −0.176797 | + | 0.148350i | −0.726892 | − | 0.686752i | \(-0.759036\pi\) |
0.550095 | + | 0.835102i | \(0.314591\pi\) | |||||||
\(182\) | 40.7229 | 3.01858 | ||||||||
\(183\) | −1.93993 | − | 0.651345i | −0.143404 | − | 0.0481488i | ||||
\(184\) | 0.557453 | − | 0.467759i | 0.0410960 | − | 0.0344836i | ||||
\(185\) | 6.51803 | + | 5.46928i | 0.479215 | + | 0.402109i | ||||
\(186\) | 13.7466 | − | 5.39835i | 1.00795 | − | 0.395826i | ||||
\(187\) | 11.6182 | + | 9.74883i | 0.849607 | + | 0.712905i | ||||
\(188\) | −5.94317 | − | 4.98691i | −0.433450 | − | 0.363708i | ||||
\(189\) | −7.52474 | + | 15.6496i | −0.547345 | + | 1.13834i | ||||
\(190\) | 5.73631 | + | 13.2604i | 0.416156 | + | 0.962011i | ||||
\(191\) | −0.406195 | − | 0.703551i | −0.0293913 | − | 0.0509072i | 0.850956 | − | 0.525238i | \(-0.176024\pi\) |
−0.880347 | + | 0.474330i | \(0.842690\pi\) | |||||||
\(192\) | 7.27547 | − | 13.3665i | 0.525062 | − | 0.964641i | ||||
\(193\) | 4.54920 | − | 25.7998i | 0.327458 | − | 1.85711i | −0.164346 | − | 0.986403i | \(-0.552551\pi\) |
0.491804 | − | 0.870706i | \(-0.336338\pi\) | |||||||
\(194\) | −21.5732 | − | 7.85200i | −1.54886 | − | 0.563741i | ||||
\(195\) | 8.89822 | + | 14.5547i | 0.637215 | + | 1.04228i | ||||
\(196\) | 1.52056 | + | 8.62350i | 0.108611 | + | 0.615964i | ||||
\(197\) | −7.51807 | − | 13.0217i | −0.535641 | − | 0.927757i | −0.999132 | − | 0.0416552i | \(-0.986737\pi\) |
0.463492 | − | 0.886101i | \(-0.346596\pi\) | |||||||
\(198\) | −22.2767 | − | 16.8598i | −1.58314 | − | 1.19817i | ||||
\(199\) | 10.9480 | − | 9.18644i | 0.776081 | − | 0.651209i | −0.166178 | − | 0.986096i | \(-0.553142\pi\) |
0.942258 | + | 0.334887i | \(0.108698\pi\) | |||||||
\(200\) | −0.445906 | − | 0.162297i | −0.0315303 | − | 0.0114761i | ||||
\(201\) | −19.6158 | + | 17.3181i | −1.38359 | + | 1.22153i | ||||
\(202\) | −29.1678 | −2.05224 | ||||||||
\(203\) | 14.6566 | − | 12.2984i | 1.02869 | − | 0.863177i | ||||
\(204\) | −5.73768 | + | 10.5412i | −0.401718 | + | 0.738034i | ||||
\(205\) | −5.56178 | + | 4.66689i | −0.388452 | + | 0.325950i | ||||
\(206\) | −30.6623 | + | 11.1602i | −2.13634 | + | 0.777566i | ||||
\(207\) | −7.82461 | + | 7.26608i | −0.543848 | + | 0.505028i | ||||
\(208\) | 22.7934 | 1.58044 | ||||||||
\(209\) | 5.72896 | − | 19.2086i | 0.396280 | − | 1.32869i | ||||
\(210\) | −14.3824 | + | 12.6978i | −0.992482 | + | 0.876229i | ||||
\(211\) | 19.0858 | − | 6.94665i | 1.31392 | − | 0.478227i | 0.412413 | − | 0.910997i | \(-0.364686\pi\) |
0.901504 | + | 0.432770i | \(0.142464\pi\) | |||||||
\(212\) | −2.17727 | + | 12.3479i | −0.149536 | + | 0.848058i | ||||
\(213\) | 5.40555 | − | 2.12279i | 0.370382 | − | 0.145451i | ||||
\(214\) | −11.2849 | + | 4.10736i | −0.771419 | + | 0.280774i | ||||
\(215\) | −2.68422 | − | 0.976976i | −0.183062 | − | 0.0666292i | ||||
\(216\) | 0.460353 | − | 0.957421i | 0.0313230 | − | 0.0651443i | ||||
\(217\) | −7.03543 | + | 12.1857i | −0.477596 | + | 0.827221i | ||||
\(218\) | −7.49649 | − | 2.72850i | −0.507726 | − | 0.184797i | ||||
\(219\) | −4.53493 | − | 3.61499i | −0.306442 | − | 0.244278i | ||||
\(220\) | −7.90675 | − | 13.6949i | −0.533073 | − | 0.923310i | ||||
\(221\) | −19.8460 | −1.33498 | ||||||||
\(222\) | 16.9721 | − | 6.66502i | 1.13909 | − | 0.447327i | ||||
\(223\) | −1.36957 | + | 0.498481i | −0.0917130 | + | 0.0333808i | −0.387469 | − | 0.921883i | \(-0.626651\pi\) |
0.295756 | + | 0.955263i | \(0.404428\pi\) | |||||||
\(224\) | 4.68867 | + | 26.5908i | 0.313275 | + | 1.77667i | ||||
\(225\) | 6.65446 | + | 2.04968i | 0.443631 | + | 0.136645i | ||||
\(226\) | −8.20596 | − | 6.88562i | −0.545853 | − | 0.458025i | ||||
\(227\) | −1.44297 | − | 2.49930i | −0.0957736 | − | 0.165885i | 0.814158 | − | 0.580644i | \(-0.197199\pi\) |
−0.909931 | + | 0.414759i | \(0.863866\pi\) | |||||||
\(228\) | 15.7974 | + | 1.42851i | 1.04621 | + | 0.0946051i | ||||
\(229\) | −1.93456 | + | 3.35075i | −0.127839 | + | 0.221424i | −0.922839 | − | 0.385186i | \(-0.874137\pi\) |
0.795000 | + | 0.606609i | \(0.207471\pi\) | |||||||
\(230\) | −11.0863 | + | 4.03508i | −0.731008 | + | 0.266065i | ||||
\(231\) | 26.6092 | − | 0.668989i | 1.75076 | − | 0.0440163i | ||||
\(232\) | −0.896671 | + | 0.752397i | −0.0588694 | + | 0.0493973i | ||||
\(233\) | 0.460293 | − | 2.61045i | 0.0301548 | − | 0.171016i | −0.966011 | − | 0.258500i | \(-0.916772\pi\) |
0.996166 | + | 0.0874843i | \(0.0278828\pi\) | |||||||
\(234\) | 36.5112 | − | 1.83703i | 2.38681 | − | 0.120091i | ||||
\(235\) | 3.02206 | + | 5.23437i | 0.197138 | + | 0.341452i | ||||
\(236\) | −16.2809 | −1.05979 | ||||||||
\(237\) | −1.79698 | + | 11.9386i | −0.116726 | + | 0.775495i | ||||
\(238\) | −3.87578 | − | 21.9807i | −0.251230 | − | 1.42479i | ||||
\(239\) | 8.49579 | + | 14.7151i | 0.549547 | + | 0.951844i | 0.998305 | + | 0.0581905i | \(0.0185331\pi\) |
−0.448758 | + | 0.893653i | \(0.648134\pi\) | |||||||
\(240\) | −8.05011 | + | 7.10717i | −0.519633 | + | 0.458766i | ||||
\(241\) | 0.669875 | + | 3.79905i | 0.0431504 | + | 0.244718i | 0.998752 | − | 0.0499436i | \(-0.0159041\pi\) |
−0.955602 | + | 0.294662i | \(0.904793\pi\) | |||||||
\(242\) | −3.56819 | + | 20.2362i | −0.229372 | + | 1.30083i | ||||
\(243\) | −6.04054 | + | 14.3705i | −0.387501 | + | 0.921869i | ||||
\(244\) | −2.33252 | + | 0.848967i | −0.149324 | + | 0.0543495i | ||||
\(245\) | 1.18460 | − | 6.71820i | 0.0756814 | − | 0.429210i | ||||
\(246\) | 3.08601 | + | 15.2497i | 0.196757 | + | 0.972284i | ||||
\(247\) | 10.4139 | + | 24.0734i | 0.662622 | + | 1.53176i | ||||
\(248\) | 0.430417 | − | 0.745505i | 0.0273315 | − | 0.0473396i | ||||
\(249\) | −10.4138 | + | 0.261817i | −0.659949 | + | 0.0165920i | ||||
\(250\) | 18.5889 | + | 15.5979i | 1.17566 | + | 0.986500i | ||||
\(251\) | −2.30066 | − | 13.0477i | −0.145216 | − | 0.823563i | −0.967193 | − | 0.254042i | \(-0.918240\pi\) |
0.821977 | − | 0.569521i | \(-0.192871\pi\) | |||||||
\(252\) | 4.69532 | + | 20.5332i | 0.295777 | + | 1.29347i | ||||
\(253\) | 15.3808 | + | 5.59816i | 0.966984 | + | 0.351954i | ||||
\(254\) | 18.7535 | − | 32.4820i | 1.17670 | − | 2.03810i | ||||
\(255\) | 7.00915 | − | 6.18814i | 0.438930 | − | 0.387517i | ||||
\(256\) | 2.47701 | + | 14.0478i | 0.154813 | + | 0.877988i | ||||
\(257\) | −3.46893 | − | 19.6733i | −0.216386 | − | 1.22718i | −0.878486 | − | 0.477769i | \(-0.841446\pi\) |
0.662100 | − | 0.749416i | \(-0.269665\pi\) | |||||||
\(258\) | −4.58887 | + | 4.05135i | −0.285690 | + | 0.252226i | ||||
\(259\) | −8.68622 | + | 15.0450i | −0.539736 | + | 0.934849i | ||||
\(260\) | 19.4447 | + | 7.07729i | 1.20591 | + | 0.438915i | ||||
\(261\) | 12.5860 | − | 11.6876i | 0.779054 | − | 0.723444i | ||||
\(262\) | 3.55709 | + | 20.1733i | 0.219758 | + | 1.24631i | ||||
\(263\) | −19.8676 | − | 16.6709i | −1.22509 | − | 1.02797i | −0.998542 | − | 0.0539737i | \(-0.982811\pi\) |
−0.226549 | − | 0.974000i | \(-0.572744\pi\) | |||||||
\(264\) | −1.62791 | + | 0.0409278i | −0.100191 | + | 0.00251893i | ||||
\(265\) | 4.88407 | − | 8.45945i | 0.300026 | − | 0.519660i | ||||
\(266\) | −24.6291 | + | 16.2354i | −1.51011 | + | 0.995459i | ||||
\(267\) | −1.32119 | − | 6.52875i | −0.0808557 | − | 0.399553i | ||||
\(268\) | −5.51158 | + | 31.2577i | −0.336673 | + | 1.90937i | ||||
\(269\) | 26.0172 | − | 9.46950i | 1.58630 | − | 0.577366i | 0.609738 | − | 0.792603i | \(-0.291275\pi\) |
0.976562 | + | 0.215237i | \(0.0690525\pi\) | |||||||
\(270\) | −12.3221 | + | 12.0333i | −0.749902 | + | 0.732324i | ||||
\(271\) | 1.86555 | − | 10.5801i | 0.113324 | − | 0.642694i | −0.874242 | − | 0.485490i | \(-0.838641\pi\) |
0.987566 | − | 0.157203i | \(-0.0502478\pi\) | |||||||
\(272\) | −2.16935 | − | 12.3030i | −0.131536 | − | 0.745977i | ||||
\(273\) | −26.1104 | + | 23.0520i | −1.58027 | + | 1.39517i | ||||
\(274\) | 3.02104 | + | 5.23260i | 0.182508 | + | 0.316113i | ||||
\(275\) | −1.85339 | − | 10.5111i | −0.111764 | − | 0.633844i | ||||
\(276\) | −1.92785 | + | 12.8081i | −0.116043 | + | 0.770955i | ||||
\(277\) | −6.45947 | −0.388112 | −0.194056 | − | 0.980990i | \(-0.562164\pi\) | ||||
−0.194056 | + | 0.980990i | \(0.562164\pi\) | |||||||
\(278\) | −13.1665 | − | 22.8050i | −0.789674 | − | 1.36775i | ||||
\(279\) | −5.75809 | + | 11.2428i | −0.344728 | + | 0.673088i | ||||
\(280\) | −0.194190 | + | 1.10131i | −0.0116051 | + | 0.0658156i | ||||
\(281\) | −20.7110 | + | 17.3786i | −1.23551 | + | 1.03672i | −0.237652 | + | 0.971350i | \(0.576378\pi\) |
−0.997861 | + | 0.0653686i | \(0.979178\pi\) | |||||||
\(282\) | 12.9483 | − | 0.325536i | 0.771060 | − | 0.0193854i | ||||
\(283\) | −15.1225 | + | 5.50414i | −0.898939 | + | 0.327187i | −0.749827 | − | 0.661633i | \(-0.769864\pi\) |
−0.149111 | + | 0.988820i | \(0.547641\pi\) | |||||||
\(284\) | 3.52217 | − | 6.10058i | 0.209003 | − | 0.362003i | ||||
\(285\) | −11.1843 | − | 5.25505i | −0.662499 | − | 0.311282i | ||||
\(286\) | −28.0187 | − | 48.5297i | −1.65678 | − | 2.86962i | ||||
\(287\) | −11.3556 | − | 9.52852i | −0.670303 | − | 0.562451i | ||||
\(288\) | 5.40328 | + | 23.6292i | 0.318391 | + | 1.39236i | ||||
\(289\) | −1.06319 | − | 6.02965i | −0.0625406 | − | 0.354686i | ||||
\(290\) | 17.8324 | − | 6.49047i | 1.04716 | − | 0.381134i | ||||
\(291\) | 18.2769 | − | 7.17743i | 1.07141 | − | 0.420749i | ||||
\(292\) | −7.03468 | −0.411674 | ||||||||
\(293\) | 4.68904 | + | 8.12165i | 0.273936 | + | 0.474472i | 0.969866 | − | 0.243638i | \(-0.0783409\pi\) |
−0.695930 | + | 0.718110i | \(0.745008\pi\) | |||||||
\(294\) | −11.4314 | − | 9.11249i | −0.666696 | − | 0.531451i | ||||
\(295\) | 11.9188 | + | 4.33809i | 0.693940 | + | 0.252574i | ||||
\(296\) | 0.531410 | − | 0.920430i | 0.0308876 | − | 0.0534989i | ||||
\(297\) | 23.8270 | − | 1.80016i | 1.38258 | − | 0.104456i | ||||
\(298\) | −16.4873 | − | 6.00088i | −0.955083 | − | 0.347622i | ||||
\(299\) | −20.1264 | + | 7.32543i | −1.16394 | + | 0.423640i | ||||
\(300\) | 7.86154 | − | 3.08727i | 0.453886 | − | 0.178243i | ||||
\(301\) | 1.01275 | − | 5.74357i | 0.0583738 | − | 0.331054i | ||||
\(302\) | 10.6738 | − | 3.88496i | 0.614210 | − | 0.223554i | ||||
\(303\) | 18.7016 | − | 16.5110i | 1.07438 | − | 0.948531i | ||||
\(304\) | −13.7853 | + | 9.08728i | −0.790644 | + | 0.521191i | ||||
\(305\) | 1.93379 | 0.110728 | ||||||||
\(306\) | −4.46649 | − | 19.5325i | −0.255332 | − | 1.11660i | ||||
\(307\) | −11.3250 | + | 4.12198i | −0.646354 | + | 0.235254i | −0.644334 | − | 0.764744i | \(-0.722865\pi\) |
−0.00202016 | + | 0.999998i | \(0.500643\pi\) | |||||||
\(308\) | 24.7332 | − | 20.7536i | 1.40930 | − | 1.18255i | ||||
\(309\) | 13.3424 | − | 24.5126i | 0.759023 | − | 1.39447i | ||||
\(310\) | −10.6910 | + | 8.97083i | −0.607209 | + | 0.509509i | ||||
\(311\) | −31.7215 | −1.79876 | −0.899381 | − | 0.437166i | \(-0.855982\pi\) | ||||
−0.899381 | + | 0.437166i | \(0.855982\pi\) | |||||||
\(312\) | 1.59740 | − | 1.41029i | 0.0904348 | − | 0.0798418i | ||||
\(313\) | 7.60149 | + | 2.76672i | 0.429662 | + | 0.156384i | 0.547793 | − | 0.836614i | \(-0.315468\pi\) |
−0.118131 | + | 0.992998i | \(0.537690\pi\) | |||||||
\(314\) | −3.12140 | + | 2.61917i | −0.176151 | + | 0.147808i | ||||
\(315\) | 2.03381 | − | 16.2829i | 0.114592 | − | 0.917438i | ||||
\(316\) | 7.32225 | + | 12.6825i | 0.411909 | + | 0.713447i | ||||
\(317\) | 4.59433 | + | 26.0557i | 0.258043 | + | 1.46344i | 0.788139 | + | 0.615498i | \(0.211045\pi\) |
−0.530095 | + | 0.847938i | \(0.677844\pi\) | |||||||
\(318\) | −10.9187 | − | 17.8596i | −0.612292 | − | 1.00152i | ||||
\(319\) | −24.7403 | − | 9.00472i | −1.38519 | − | 0.504168i | ||||
\(320\) | −2.49724 | + | 14.1626i | −0.139600 | + | 0.791712i | ||||
\(321\) | 4.91051 | − | 9.02156i | 0.274078 | − | 0.503534i | ||||
\(322\) | −12.0439 | − | 20.8607i | −0.671182 | − | 1.16252i | ||||
\(323\) | 12.0028 | − | 7.91220i | 0.667852 | − | 0.440247i | ||||
\(324\) | 5.13598 | + | 18.1977i | 0.285332 | + | 1.01099i | ||||
\(325\) | 10.6989 | + | 8.97743i | 0.593467 | + | 0.497978i | ||||
\(326\) | −13.3328 | − | 11.1876i | −0.738436 | − | 0.619622i | ||||
\(327\) | 6.35106 | − | 2.49409i | 0.351214 | − | 0.137924i | ||||
\(328\) | 0.694722 | + | 0.582941i | 0.0383596 | + | 0.0321875i | ||||
\(329\) | −9.45335 | + | 7.93230i | −0.521180 | + | 0.437322i | ||||
\(330\) | 25.0276 | + | 8.40317i | 1.37772 | + | 0.462579i | ||||
\(331\) | −6.28296 | −0.345343 | −0.172671 | − | 0.984979i | \(-0.555240\pi\) | ||||
−0.172671 | + | 0.984979i | \(0.555240\pi\) | |||||||
\(332\) | −9.67962 | + | 8.12217i | −0.531238 | + | 0.445762i | ||||
\(333\) | −7.10917 | + | 13.8808i | −0.389580 | + | 0.760663i | ||||
\(334\) | 5.81470 | − | 10.0714i | 0.318166 | − | 0.551080i | ||||
\(335\) | 12.3636 | − | 21.4144i | 0.675497 | − | 1.16999i | ||||
\(336\) | −17.1446 | − | 13.6667i | −0.935313 | − | 0.745577i | ||||
\(337\) | 4.68091 | + | 3.92775i | 0.254986 | + | 0.213958i | 0.761316 | − | 0.648382i | \(-0.224554\pi\) |
−0.506330 | + | 0.862340i | \(0.668998\pi\) | |||||||
\(338\) | 44.1665 | + | 16.0753i | 2.40234 | + | 0.874381i | ||||
\(339\) | 9.15917 | − | 0.230273i | 0.497458 | − | 0.0125067i | ||||
\(340\) | 1.96941 | − | 11.1691i | 0.106806 | − | 0.605728i | ||||
\(341\) | 19.3624 | 1.04853 | ||||||||
\(342\) | −21.3494 | + | 15.6673i | −1.15445 | + | 0.847193i | ||||
\(343\) | −9.46450 | −0.511035 | ||||||||
\(344\) | −0.0619584 | + | 0.351383i | −0.00334057 | + | 0.0189453i | ||||
\(345\) | 4.82408 | − | 8.86278i | 0.259720 | − | 0.477156i | ||||
\(346\) | −10.4713 | − | 3.81123i | −0.562938 | − | 0.204893i | ||||
\(347\) | 22.5449 | + | 18.9174i | 1.21027 | + | 1.01554i | 0.999276 | + | 0.0380516i | \(0.0121151\pi\) |
0.210996 | + | 0.977487i | \(0.432329\pi\) | |||||||
\(348\) | 3.10097 | − | 20.6019i | 0.166230 | − | 1.10438i | ||||
\(349\) | 14.5857 | − | 25.2632i | 0.780756 | − | 1.35231i | −0.150745 | − | 0.988573i | \(-0.548167\pi\) |
0.931502 | − | 0.363737i | \(-0.118499\pi\) | |||||||
\(350\) | −7.85365 | + | 13.6029i | −0.419795 | + | 0.727107i | ||||
\(351\) | −22.3701 | + | 21.8457i | −1.19403 | + | 1.16604i | ||||
\(352\) | 28.4624 | − | 23.8828i | 1.51705 | − | 1.27296i | ||||
\(353\) | −26.6830 | −1.42019 | −0.710097 | − | 0.704104i | \(-0.751349\pi\) | ||||
−0.710097 | + | 0.704104i | \(0.751349\pi\) | |||||||
\(354\) | 20.3761 | − | 17.9893i | 1.08298 | − | 0.956123i | ||||
\(355\) | −4.20401 | + | 3.52759i | −0.223126 | + | 0.187225i | ||||
\(356\) | −6.18951 | − | 5.19361i | −0.328043 | − | 0.275261i | ||||
\(357\) | 14.9276 | + | 11.8994i | 0.790053 | + | 0.629784i | ||||
\(358\) | 37.7479 | + | 31.6742i | 1.99504 | + | 1.67404i | ||||
\(359\) | −6.12301 | − | 5.13781i | −0.323160 | − | 0.271163i | 0.466746 | − | 0.884391i | \(-0.345426\pi\) |
−0.789906 | + | 0.613228i | \(0.789871\pi\) | |||||||
\(360\) | −0.124425 | + | 0.996165i | −0.00655780 | + | 0.0525025i | ||||
\(361\) | −15.8959 | − | 10.4077i | −0.836627 | − | 0.547773i | ||||
\(362\) | −3.14393 | − | 5.44545i | −0.165241 | − | 0.286206i | ||||
\(363\) | −9.16726 | − | 14.9947i | −0.481157 | − | 0.787019i | ||||
\(364\) | −7.33641 | + | 41.6069i | −0.384533 | + | 2.18079i | ||||
\(365\) | 5.14991 | + | 1.87442i | 0.269559 | + | 0.0981114i | ||||
\(366\) | 1.98117 | − | 3.63980i | 0.103557 | − | 0.190255i | ||||
\(367\) | −2.58777 | − | 14.6760i | −0.135080 | − | 0.766079i | −0.974804 | − | 0.223064i | \(-0.928394\pi\) |
0.839723 | − | 0.543014i | \(-0.182717\pi\) | |||||||
\(368\) | −6.74121 | − | 11.6761i | −0.351410 | − | 0.608660i | ||||
\(369\) | −10.6110 | − | 8.03078i | −0.552388 | − | 0.418066i | ||||
\(370\) | −13.1996 | + | 11.0757i | −0.686212 | + | 0.575800i | ||||
\(371\) | 18.7411 | + | 6.82121i | 0.972991 | + | 0.354140i | ||||
\(372\) | 3.03902 | + | 15.0175i | 0.157566 | + | 0.778622i | ||||
\(373\) | 11.2528 | 0.582646 | 0.291323 | − | 0.956625i | \(-0.405904\pi\) | ||||
0.291323 | + | 0.956625i | \(0.405904\pi\) | |||||||
\(374\) | −23.5278 | + | 19.7422i | −1.21659 | + | 1.02084i | ||||
\(375\) | −20.7482 | + | 0.521636i | −1.07143 | + | 0.0269371i | ||||
\(376\) | 0.578342 | − | 0.485287i | 0.0298257 | − | 0.0250267i | ||||
\(377\) | 32.3737 | − | 11.7830i | 1.66733 | − | 0.606858i | ||||
\(378\) | −28.5642 | − | 20.5099i | −1.46919 | − | 1.05492i | ||||
\(379\) | 2.59739 | 0.133419 | 0.0667094 | − | 0.997772i | \(-0.478750\pi\) | ||||
0.0667094 | + | 0.997772i | \(0.478750\pi\) | |||||||
\(380\) | −14.5817 | + | 3.47191i | −0.748023 | + | 0.178105i | ||||
\(381\) | 6.36284 | + | 31.4423i | 0.325978 | + | 1.61084i | ||||
\(382\) | 1.54594 | − | 0.562677i | 0.0790973 | − | 0.0287891i | ||||
\(383\) | 0.317839 | − | 1.80256i | 0.0162408 | − | 0.0921063i | −0.975610 | − | 0.219511i | \(-0.929554\pi\) |
0.991851 | + | 0.127405i | \(0.0406648\pi\) | |||||||
\(384\) | 2.21241 | + | 1.76360i | 0.112901 | + | 0.0899984i | ||||
\(385\) | −23.6364 | + | 8.60296i | −1.20462 | + | 0.438447i | ||||
\(386\) | 49.8532 | + | 18.1451i | 2.53746 | + | 0.923560i | ||||
\(387\) | 0.648908 | − | 5.19523i | 0.0329859 | − | 0.264089i | ||||
\(388\) | 11.9089 | − | 20.6269i | 0.604585 | − | 1.04717i | ||||
\(389\) | 7.69606 | + | 2.80114i | 0.390206 | + | 0.142023i | 0.529670 | − | 0.848204i | \(-0.322316\pi\) |
−0.139464 | + | 0.990227i | \(0.544538\pi\) | |||||||
\(390\) | −32.1557 | + | 12.6277i | −1.62827 | + | 0.639428i | ||||
\(391\) | 5.86950 | + | 10.1663i | 0.296834 | + | 0.514131i | ||||
\(392\) | −0.852117 | −0.0430384 | ||||||||
\(393\) | −13.7002 | − | 10.9210i | −0.691083 | − | 0.550891i | ||||
\(394\) | 28.6131 | − | 10.4143i | 1.44151 | − | 0.524666i | ||||
\(395\) | −1.98114 | − | 11.2356i | −0.0996818 | − | 0.565324i | ||||
\(396\) | 21.2390 | − | 19.7229i | 1.06730 | − | 0.991114i | ||||
\(397\) | −13.1457 | − | 11.0305i | −0.659763 | − | 0.553607i | 0.250253 | − | 0.968181i | \(-0.419486\pi\) |
−0.910016 | + | 0.414574i | \(0.863931\pi\) | |||||||
\(398\) | 14.4708 | + | 25.0641i | 0.725355 | + | 1.25635i | ||||
\(399\) | 6.60109 | − | 24.3515i | 0.330468 | − | 1.21910i | ||||
\(400\) | −4.39583 | + | 7.61380i | −0.219792 | + | 0.380690i | ||||
\(401\) | −20.9894 | + | 7.63953i | −1.04816 | + | 0.381500i | −0.807969 | − | 0.589225i | \(-0.799433\pi\) |
−0.240194 | + | 0.970725i | \(0.577211\pi\) | |||||||
\(402\) | −27.6399 | − | 45.2101i | −1.37855 | − | 2.25487i | ||||
\(403\) | −19.4089 | + | 16.2860i | −0.966825 | + | 0.811262i | ||||
\(404\) | 5.25470 | − | 29.8009i | 0.261431 | − | 1.48265i | ||||
\(405\) | 1.08893 | − | 14.6906i | 0.0541095 | − | 0.729982i | ||||
\(406\) | 19.3728 | + | 33.5547i | 0.961457 | + | 1.66529i | ||||
\(407\) | 23.9056 | 1.18496 | ||||||||
\(408\) | −0.913250 | − | 0.727989i | −0.0452126 | − | 0.0360408i | ||||
\(409\) | −2.66303 | − | 15.1028i | −0.131678 | − | 0.746785i | −0.977115 | − | 0.212710i | \(-0.931771\pi\) |
0.845437 | − | 0.534075i | \(-0.179340\pi\) | |||||||
\(410\) | −7.35144 | − | 12.7331i | −0.363062 | − | 0.628841i | ||||
\(411\) | −4.89902 | − | 1.64488i | −0.241651 | − | 0.0811359i | ||||
\(412\) | −5.87847 | − | 33.3384i | −0.289611 | − | 1.64247i | ||||
\(413\) | −4.49693 | + | 25.5033i | −0.221279 | + | 1.25494i | ||||
\(414\) | −11.7393 | − | 18.1599i | −0.576957 | − | 0.892510i | ||||
\(415\) | 9.25039 | − | 3.36686i | 0.454084 | − | 0.165273i | ||||
\(416\) | −8.44259 | + | 47.8803i | −0.413932 | + | 2.34753i | ||||
\(417\) | 21.3512 | + | 7.16881i | 1.04557 | + | 0.351058i | ||||
\(418\) | 36.2935 | + | 18.1801i | 1.77517 | + | 0.889218i | ||||
\(419\) | 0.548528 | − | 0.950079i | 0.0267974 | − | 0.0464144i | −0.852316 | − | 0.523028i | \(-0.824802\pi\) |
0.879113 | + | 0.476613i | \(0.158136\pi\) | |||||||
\(420\) | −10.3823 | − | 16.9822i | −0.506606 | − | 0.828646i | ||||
\(421\) | 6.85756 | + | 5.75418i | 0.334217 | + | 0.280441i | 0.794416 | − | 0.607375i | \(-0.207777\pi\) |
−0.460198 | + | 0.887816i | \(0.652222\pi\) | |||||||
\(422\) | 7.14227 | + | 40.5058i | 0.347680 | + | 1.97179i | ||||
\(423\) | −8.11781 | + | 7.53835i | −0.394702 | + | 0.366527i | ||||
\(424\) | −1.14655 | − | 0.417312i | −0.0556816 | − | 0.0202665i | ||||
\(425\) | 3.82741 | − | 6.62926i | 0.185657 | − | 0.321567i | ||||
\(426\) | 2.33264 | + | 11.5269i | 0.113017 | + | 0.558478i | ||||
\(427\) | 0.685610 | + | 3.88829i | 0.0331790 | + | 0.188167i | ||||
\(428\) | −2.16350 | − | 12.2698i | −0.104577 | − | 0.593083i | ||||
\(429\) | 45.4360 | + | 15.2554i | 2.19367 | + | 0.736539i | ||||
\(430\) | 2.89231 | − | 5.00963i | 0.139480 | − | 0.241586i | ||||
\(431\) | 34.1549 | + | 12.4314i | 1.64518 | + | 0.598798i | 0.987934 | − | 0.154876i | \(-0.0494977\pi\) |
0.657249 | + | 0.753673i | \(0.271720\pi\) | |||||||
\(432\) | −15.9879 | − | 11.4798i | −0.769219 | − | 0.552322i | ||||
\(433\) | 0.729991 | + | 4.13999i | 0.0350811 | + | 0.198955i | 0.997311 | − | 0.0732825i | \(-0.0233475\pi\) |
−0.962230 | + | 0.272238i | \(0.912236\pi\) | |||||||
\(434\) | −21.8282 | − | 18.3160i | −1.04779 | − | 0.879196i | ||||
\(435\) | −7.75960 | + | 14.2559i | −0.372045 | + | 0.683518i | ||||
\(436\) | 4.13825 | − | 7.16766i | 0.198186 | − | 0.343269i | ||||
\(437\) | 9.25189 | − | 12.4544i | 0.442578 | − | 0.595776i | ||||
\(438\) | 8.80415 | − | 7.77288i | 0.420678 | − | 0.371403i | ||||
\(439\) | 4.67537 | − | 26.5154i | 0.223143 | − | 1.26551i | −0.643060 | − | 0.765816i | \(-0.722335\pi\) |
0.866203 | − | 0.499692i | \(-0.166554\pi\) | |||||||
\(440\) | 1.44604 | − | 0.526316i | 0.0689373 | − | 0.0250911i | ||||
\(441\) | 12.4878 | − | 0.628316i | 0.594658 | − | 0.0299198i | ||||
\(442\) | 6.97887 | − | 39.5791i | 0.331951 | − | 1.88259i | ||||
\(443\) | −4.31989 | − | 24.4993i | −0.205244 | − | 1.16400i | −0.897055 | − | 0.441919i | \(-0.854298\pi\) |
0.691811 | − | 0.722079i | \(-0.256813\pi\) | |||||||
\(444\) | 3.75210 | + | 18.5412i | 0.178067 | + | 0.879927i | ||||
\(445\) | 3.14733 | + | 5.45133i | 0.149198 | + | 0.258418i | ||||
\(446\) | −0.512519 | − | 2.90664i | −0.0242685 | − | 0.137633i | ||||
\(447\) | 13.9681 | − | 5.48535i | 0.660669 | − | 0.259448i | ||||
\(448\) | −29.3622 | −1.38723 | ||||||||
\(449\) | 11.2639 | + | 19.5096i | 0.531576 | + | 0.920717i | 0.999321 | + | 0.0368534i | \(0.0117334\pi\) |
−0.467744 | + | 0.883864i | \(0.654933\pi\) | |||||||
\(450\) | −6.42776 | + | 12.5503i | −0.303007 | + | 0.591628i | ||||
\(451\) | −3.54215 | + | 20.0885i | −0.166793 | + | 0.945931i | ||||
\(452\) | 8.51342 | − | 7.14361i | 0.400438 | − | 0.336007i | ||||
\(453\) | −4.64461 | + | 8.53306i | −0.218223 | + | 0.400918i | ||||
\(454\) | 5.49183 | − | 1.99886i | 0.257744 | − | 0.0938113i | ||||
\(455\) | 16.4571 | − | 28.5045i | 0.771521 | − | 1.33631i | ||||
\(456\) | −0.403845 | + | 1.48979i | −0.0189118 | + | 0.0697657i | ||||
\(457\) | −7.75163 | − | 13.4262i | −0.362606 | − | 0.628052i | 0.625783 | − | 0.779997i | \(-0.284780\pi\) |
−0.988389 | + | 0.151945i | \(0.951446\pi\) | |||||||
\(458\) | −6.00216 | − | 5.03641i | −0.280463 | − | 0.235336i | ||||
\(459\) | 13.9205 | + | 9.99534i | 0.649754 | + | 0.466543i | ||||
\(460\) | −2.12542 | − | 12.0539i | −0.0990983 | − | 0.562014i | ||||
\(461\) | 4.72252 | − | 1.71886i | 0.219949 | − | 0.0800551i | −0.229695 | − | 0.973263i | \(-0.573773\pi\) |
0.449645 | + | 0.893208i | \(0.351551\pi\) | |||||||
\(462\) | −8.02301 | + | 53.3025i | −0.373264 | + | 2.47986i | ||||
\(463\) | −37.0578 | −1.72222 | −0.861111 | − | 0.508417i | \(-0.830231\pi\) | ||||
−0.861111 | + | 0.508417i | \(0.830231\pi\) | |||||||
\(464\) | 10.8433 | + | 18.7812i | 0.503389 | + | 0.871895i | ||||
\(465\) | 1.77668 | − | 11.8037i | 0.0823913 | − | 0.547384i | ||||
\(466\) | 5.04420 | + | 1.83594i | 0.233668 | + | 0.0850482i | ||||
\(467\) | −1.35903 | + | 2.35390i | −0.0628882 | + | 0.108926i | −0.895755 | − | 0.444547i | \(-0.853364\pi\) |
0.832867 | + | 0.553473i | \(0.186698\pi\) | |||||||
\(468\) | −4.70074 | + | 37.6347i | −0.217292 | + | 1.73966i | ||||
\(469\) | 47.4416 | + | 17.2673i | 2.19065 | + | 0.797332i | ||||
\(470\) | −11.5017 | + | 4.18628i | −0.530534 | + | 0.193098i | ||||
\(471\) | 0.518727 | − | 3.44626i | 0.0239017 | − | 0.158796i | ||||
\(472\) | 0.275115 | − | 1.56026i | 0.0126632 | − | 0.0718166i | ||||
\(473\) | −7.54145 | + | 2.74486i | −0.346756 | + | 0.126209i | ||||
\(474\) | −23.1774 | − | 7.78197i | −1.06457 | − | 0.357438i | ||||
\(475\) | −10.0498 | − | 1.16408i | −0.461115 | − | 0.0534115i | ||||
\(476\) | 23.1560 | 1.06135 | ||||||||
\(477\) | 17.1106 | + | 5.27031i | 0.783438 | + | 0.241311i | ||||
\(478\) | −32.3342 | + | 11.7687i | −1.47893 | + | 0.538288i | ||||
\(479\) | 11.2511 | − | 9.44078i | 0.514075 | − | 0.431360i | −0.348485 | − | 0.937314i | \(-0.613304\pi\) |
0.862561 | + | 0.505954i | \(0.168859\pi\) | |||||||
\(480\) | −11.9478 | − | 19.5427i | −0.545338 | − | 0.892000i | ||||
\(481\) | −23.9630 | + | 20.1073i | −1.09262 | + | 0.916815i | ||||
\(482\) | −7.81207 | −0.355830 | ||||||||
\(483\) | 19.5308 | + | 6.55761i | 0.888684 | + | 0.298381i | ||||
\(484\) | −20.0326 | − | 7.29128i | −0.910574 | − | 0.331422i | ||||
\(485\) | −14.2143 | + | 11.9273i | −0.645440 | + | 0.541589i | ||||
\(486\) | −26.5352 | − | 17.1002i | −1.20366 | − | 0.775679i | ||||
\(487\) | −7.61907 | − | 13.1966i | −0.345253 | − | 0.597996i | 0.640147 | − | 0.768253i | \(-0.278874\pi\) |
−0.985400 | + | 0.170257i | \(0.945540\pi\) | |||||||
\(488\) | −0.0419446 | − | 0.237880i | −0.00189874 | − | 0.0107683i | ||||
\(489\) | 14.8816 | − | 0.374141i | 0.672968 | − | 0.0169193i | ||||
\(490\) | 12.9817 | + | 4.72494i | 0.586452 | + | 0.213451i | ||||
\(491\) | 1.96727 | − | 11.1569i | 0.0887817 | − | 0.503506i | −0.907695 | − | 0.419631i | \(-0.862159\pi\) |
0.996476 | − | 0.0838747i | \(-0.0267295\pi\) | |||||||
\(492\) | −16.1367 | + | 0.405696i | −0.727497 | + | 0.0182902i | ||||
\(493\) | −9.44118 | − | 16.3526i | −0.425209 | − | 0.736484i | ||||
\(494\) | −51.6721 | + | 12.3032i | −2.32484 | + | 0.553546i | ||||
\(495\) | −20.8038 | + | 8.77945i | −0.935060 | + | 0.394607i | ||||
\(496\) | −12.2176 | − | 10.2518i | −0.548587 | − | 0.460320i | ||||
\(497\) | −8.58346 | − | 7.20238i | −0.385021 | − | 0.323071i | ||||
\(498\) | 3.13990 | − | 20.8605i | 0.140702 | − | 0.934783i | ||||
\(499\) | −19.7458 | − | 16.5687i | −0.883944 | − | 0.741717i | 0.0830421 | − | 0.996546i | \(-0.473536\pi\) |
−0.966986 | + | 0.254829i | \(0.917981\pi\) | |||||||
\(500\) | −19.2854 | + | 16.1824i | −0.862469 | + | 0.723697i | ||||
\(501\) | 1.97286 | + | 9.74900i | 0.0881408 | + | 0.435553i | ||||
\(502\) | 26.8303 | 1.19749 | ||||||||
\(503\) | −1.07674 | + | 0.903490i | −0.0480094 | + | 0.0402846i | −0.666477 | − | 0.745526i | \(-0.732198\pi\) |
0.618467 | + | 0.785811i | \(0.287754\pi\) | |||||||
\(504\) | −2.04711 | + | 0.102999i | −0.0911857 | + | 0.00458794i | ||||
\(505\) | −11.7874 | + | 20.4164i | −0.524532 | + | 0.908516i | ||||
\(506\) | −16.5732 | + | 28.7056i | −0.736769 | + | 1.27612i | ||||
\(507\) | −37.4181 | + | 14.6943i | −1.66180 | + | 0.652596i | ||||
\(508\) | 29.8086 | + | 25.0124i | 1.32254 | + | 1.10974i | ||||
\(509\) | −9.39441 | − | 3.41929i | −0.416400 | − | 0.151557i | 0.125320 | − | 0.992116i | \(-0.460004\pi\) |
−0.541720 | + | 0.840559i | \(0.682227\pi\) | |||||||
\(510\) | 9.87634 | + | 16.1545i | 0.437331 | + | 0.715335i | ||||
\(511\) | −1.94304 | + | 11.0195i | −0.0859552 | + | 0.487476i | ||||
\(512\) | −32.1538 | −1.42101 | ||||||||
\(513\) | 4.81987 | − | 22.1307i | 0.212802 | − | 0.977095i | ||||
\(514\) | 40.4546 | 1.78437 | ||||||||
\(515\) | −4.57966 | + | 25.9726i | −0.201804 | + | 1.14449i | ||||
\(516\) | −3.31259 | − | 5.41835i | −0.145829 | − | 0.238529i | ||||
\(517\) | 15.9572 | + | 5.80794i | 0.701796 | + | 0.255433i | ||||
\(518\) | −26.9499 | − | 22.6137i | −1.18411 | − | 0.993588i | ||||
\(519\) | 8.87130 | − | 3.48380i | 0.389407 | − | 0.152922i | ||||
\(520\) | −1.00682 | + | 1.74387i | −0.0441520 | + | 0.0764736i | ||||
\(521\) | −19.1561 | + | 33.1793i | −0.839242 | + | 1.45361i | 0.0512868 | + | 0.998684i | \(0.483668\pi\) |
−0.890529 | + | 0.454926i | \(0.849666\pi\) | |||||||
\(522\) | 18.8829 | + | 29.2104i | 0.826481 | + | 1.27851i | ||||
\(523\) | −29.7406 | + | 24.9553i | −1.30046 | + | 1.09122i | −0.310399 | + | 0.950606i | \(0.600463\pi\) |
−0.990065 | + | 0.140612i | \(0.955093\pi\) | |||||||
\(524\) | −21.2520 | −0.928398 | ||||||||
\(525\) | −2.66465 | − | 13.1675i | −0.116295 | − | 0.574678i | ||||
\(526\) | 40.2336 | − | 33.7600i | 1.75427 | − | 1.47201i | ||||
\(527\) | 10.6378 | + | 8.92614i | 0.463388 | + | 0.388829i | ||||
\(528\) | −4.49063 | + | 29.8344i | −0.195429 | + | 1.29837i | ||||
\(529\) | −7.91405 | − | 6.64067i | −0.344089 | − | 0.288725i | ||||
\(530\) | 15.1533 | + | 12.7152i | 0.658219 | + | 0.552311i | ||||
\(531\) | −2.88136 | + | 23.0685i | −0.125041 | + | 1.00109i | ||||
\(532\) | −12.1508 | − | 28.0886i | −0.526805 | − | 1.21779i | ||||
\(533\) | −13.3461 | − | 23.1161i | −0.578083 | − | 1.00127i | ||||
\(534\) | 13.4850 | − | 0.339030i | 0.583553 | − | 0.0146713i | ||||
\(535\) | −1.68549 | + | 9.55889i | −0.0728701 | + | 0.413267i | ||||
\(536\) | −2.90241 | − | 1.05639i | −0.125365 | − | 0.0456291i | ||||
\(537\) | −42.1327 | + | 1.05927i | −1.81816 | + | 0.0457108i | ||||
\(538\) | 9.73618 | + | 55.2166i | 0.419756 | + | 2.38056i | ||||
\(539\) | −9.58315 | − | 16.5985i | −0.412776 | − | 0.714948i | ||||
\(540\) | −10.0746 | − | 14.7575i | −0.433543 | − | 0.635060i | ||||
\(541\) | 13.5447 | − | 11.3654i | 0.582332 | − | 0.488635i | −0.303380 | − | 0.952870i | \(-0.598115\pi\) |
0.885712 | + | 0.464235i | \(0.153671\pi\) | |||||||
\(542\) | 20.4440 | + | 7.44101i | 0.878145 | + | 0.319619i | ||||
\(543\) | 5.09830 | + | 1.71179i | 0.218789 | + | 0.0734598i | ||||
\(544\) | 26.6475 | 1.14250 | ||||||||
\(545\) | −4.93936 | + | 4.14461i | −0.211579 | + | 0.177536i | ||||
\(546\) | −36.7912 | − | 60.1787i | −1.57452 | − | 2.57541i | ||||
\(547\) | 9.66841 | − | 8.11276i | 0.413391 | − | 0.346877i | −0.412251 | − | 0.911070i | \(-0.635257\pi\) |
0.825642 | + | 0.564194i | \(0.190813\pi\) | |||||||
\(548\) | −5.89043 | + | 2.14394i | −0.251627 | + | 0.0915847i | ||||
\(549\) | 0.790104 | + | 3.45522i | 0.0337208 | + | 0.147465i | ||||
\(550\) | 21.6142 | 0.921634 | ||||||||
\(551\) | −14.8818 | + | 20.0331i | −0.633986 | + | 0.853439i | ||||
\(552\) | −1.19487 | − | 0.401185i | −0.0508570 | − | 0.0170756i | ||||
\(553\) | 21.8891 | − | 7.96699i | 0.930820 | − | 0.338791i | ||||
\(554\) | 2.27148 | − | 12.8822i | 0.0965061 | − | 0.547313i | ||||
\(555\) | 2.19355 | − | 14.5733i | 0.0931112 | − | 0.618603i | ||||
\(556\) | 25.6721 | − | 9.34386i | 1.08874 | − | 0.396268i | ||||
\(557\) | −31.6129 | − | 11.5061i | −1.33948 | − | 0.487531i | −0.429832 | − | 0.902909i | \(-0.641427\pi\) |
−0.909649 | + | 0.415378i | \(0.863649\pi\) | |||||||
\(558\) | −20.3968 | − | 15.4370i | −0.863467 | − | 0.653500i | ||||
\(559\) | 5.25081 | − | 9.09467i | 0.222086 | − | 0.384664i | ||||
\(560\) | 19.4695 | + | 7.08633i | 0.822738 | + | 0.299452i | ||||
\(561\) | 3.90994 | − | 25.9765i | 0.165078 | − | 1.09673i | ||||
\(562\) | −27.3753 | − | 47.4155i | −1.15476 | − | 2.00010i | ||||
\(563\) | 14.4652 | 0.609636 | 0.304818 | − | 0.952411i | \(-0.401404\pi\) | ||||
0.304818 | + | 0.952411i | \(0.401404\pi\) | |||||||
\(564\) | −2.00009 | + | 13.2880i | −0.0842190 | + | 0.559526i | ||||
\(565\) | −8.13590 | + | 2.96123i | −0.342280 | + | 0.124580i | ||||
\(566\) | −5.65914 | − | 32.0946i | −0.237871 | − | 1.34904i | ||||
\(567\) | 29.9246 | − | 3.01892i | 1.25672 | − | 0.126783i | ||||
\(568\) | 0.525124 | + | 0.440631i | 0.0220337 | + | 0.0184885i | ||||
\(569\) | 6.70002 | + | 11.6048i | 0.280880 | + | 0.486498i | 0.971602 | − | 0.236623i | \(-0.0760405\pi\) |
−0.690722 | + | 0.723120i | \(0.742707\pi\) | |||||||
\(570\) | 14.4132 | − | 20.4570i | 0.603703 | − | 0.856851i | ||||
\(571\) | 4.34004 | − | 7.51717i | 0.181625 | − | 0.314584i | −0.760809 | − | 0.648976i | \(-0.775198\pi\) |
0.942434 | + | 0.334392i | \(0.108531\pi\) | |||||||
\(572\) | 54.6308 | − | 19.8840i | 2.28423 | − | 0.831392i | ||||
\(573\) | −0.672701 | + | 1.23588i | −0.0281025 | + | 0.0516298i | ||||
\(574\) | 22.9961 | − | 19.2960i | 0.959840 | − | 0.805401i | ||||
\(575\) | 1.43454 | − | 8.13571i | 0.0598246 | − | 0.339282i | ||||
\(576\) | −26.3255 | + | 1.32455i | −1.09689 | + | 0.0551895i | ||||
\(577\) | 20.5166 | + | 35.5357i | 0.854116 | + | 1.47937i | 0.877463 | + | 0.479645i | \(0.159235\pi\) |
−0.0233465 | + | 0.999727i | \(0.507432\pi\) | |||||||
\(578\) | 12.3989 | 0.515727 | ||||||||
\(579\) | −42.2359 | + | 16.5862i | −1.75526 | + | 0.689300i | ||||
\(580\) | 3.41877 | + | 19.3888i | 0.141957 | + | 0.805076i | ||||
\(581\) | 10.0494 | + | 17.4062i | 0.416921 | + | 0.722129i | ||||
\(582\) | 7.88697 | + | 38.9739i | 0.326925 | + | 1.61552i | ||||
\(583\) | −4.76561 | − | 27.0271i | −0.197371 | − | 1.11935i | ||||
\(584\) | 0.118873 | − | 0.674160i | 0.00491898 | − | 0.0278969i | ||||
\(585\) | 13.4692 | − | 26.2989i | 0.556882 | − | 1.08732i | ||||
\(586\) | −17.8460 | + | 6.49543i | −0.737213 | + | 0.268324i | ||||
\(587\) | 4.47368 | − | 25.3715i | 0.184649 | − | 1.04719i | −0.741757 | − | 0.670668i | \(-0.766007\pi\) |
0.926406 | − | 0.376526i | \(-0.122881\pi\) | |||||||
\(588\) | 11.3697 | − | 10.0379i | 0.468879 | − | 0.413957i | ||||
\(589\) | 5.24551 | − | 17.5876i | 0.216137 | − | 0.724686i | ||||
\(590\) | −12.8428 | + | 22.2444i | −0.528730 | + | 0.915787i | ||||
\(591\) | −12.4507 | + | 22.8744i | −0.512154 | + | 0.940926i | ||||
\(592\) | −15.0844 | − | 12.6573i | −0.619964 | − | 0.520211i | ||||
\(593\) | −1.82372 | − | 10.3428i | −0.0748912 | − | 0.424729i | −0.999084 | − | 0.0428020i | \(-0.986372\pi\) |
0.924192 | − | 0.381927i | \(-0.124740\pi\) | |||||||
\(594\) | −4.78873 | + | 48.1516i | −0.196484 | + | 1.97569i | ||||
\(595\) | −16.9519 | − | 6.17000i | −0.694962 | − | 0.252945i | ||||
\(596\) | 9.10140 | − | 15.7641i | 0.372808 | − | 0.645722i | ||||
\(597\) | −23.4663 | − | 7.87897i | −0.960412 | − | 0.322465i | ||||
\(598\) | −7.53172 | − | 42.7145i | −0.307995 | − | 1.74673i | ||||
\(599\) | 5.45448 | + | 30.9339i | 0.222864 | + | 1.26393i | 0.866726 | + | 0.498784i | \(0.166220\pi\) |
−0.643862 | + | 0.765141i | \(0.722669\pi\) | |||||||
\(600\) | 0.163019 | + | 0.805570i | 0.00665524 | + | 0.0328873i | ||||
\(601\) | −20.3671 | + | 35.2768i | −0.830791 | + | 1.43897i | 0.0666205 | + | 0.997778i | \(0.478778\pi\) |
−0.897412 | + | 0.441194i | \(0.854555\pi\) | |||||||
\(602\) | 11.0984 | + | 4.03948i | 0.452336 | + | 0.164637i | ||||
\(603\) | 43.3140 | + | 13.3414i | 1.76388 | + | 0.543302i | ||||
\(604\) | 2.04635 | + | 11.6054i | 0.0832648 | + | 0.472218i | ||||
\(605\) | 12.7226 | + | 10.6755i | 0.517247 | + | 0.434022i | ||||
\(606\) | 26.3517 | + | 43.1030i | 1.07046 | + | 1.75094i | ||||
\(607\) | −4.47022 | + | 7.74264i | −0.181441 | + | 0.314264i | −0.942371 | − | 0.334569i | \(-0.891409\pi\) |
0.760931 | + | 0.648833i | \(0.224743\pi\) | |||||||
\(608\) | −13.9829 | − | 32.3237i | −0.567082 | − | 1.31090i | ||||
\(609\) | −31.4156 | − | 10.5480i | −1.27302 | − | 0.427426i | ||||
\(610\) | −0.680020 | + | 3.85658i | −0.0275332 | + | 0.156149i | ||||
\(611\) | −20.8806 | + | 7.59992i | −0.844739 | + | 0.307460i | ||||
\(612\) | 20.7611 | − | 1.04458i | 0.839219 | − | 0.0422247i | ||||
\(613\) | −0.199162 | + | 1.12950i | −0.00804406 | + | 0.0456201i | −0.988566 | − | 0.150792i | \(-0.951818\pi\) |
0.980522 | + | 0.196412i | \(0.0629289\pi\) | |||||||
\(614\) | −4.23806 | − | 24.0352i | −0.171034 | − | 0.969982i | ||||
\(615\) | 11.9213 | + | 4.00267i | 0.480715 | + | 0.161403i | ||||
\(616\) | 1.57095 | + | 2.72097i | 0.0632955 | + | 0.109631i | ||||
\(617\) | −3.43968 | − | 19.5074i | −0.138476 | − | 0.785337i | −0.972376 | − | 0.233421i | \(-0.925008\pi\) |
0.833900 | − | 0.551916i | \(-0.186103\pi\) | |||||||
\(618\) | 44.1940 | + | 35.2289i | 1.77774 | + | 1.41711i | ||||
\(619\) | −2.75811 | −0.110858 | −0.0554289 | − | 0.998463i | \(-0.517653\pi\) | ||||
−0.0554289 | + | 0.998463i | \(0.517653\pi\) | |||||||
\(620\) | −7.23952 | − | 12.5392i | −0.290746 | − | 0.503587i | ||||
\(621\) | 17.8067 | + | 4.99834i | 0.714558 | + | 0.200577i | ||||
\(622\) | 11.1549 | − | 63.2627i | 0.447272 | − | 2.53660i | ||||
\(623\) | −9.84519 | + | 8.26109i | −0.394439 | + | 0.330974i | ||||
\(624\) | −20.5927 | − | 33.6831i | −0.824368 | − | 1.34840i | ||||
\(625\) | 7.52510 | − | 2.73891i | 0.301004 | − | 0.109556i | ||||
\(626\) | −8.19079 | + | 14.1869i | −0.327370 | + | 0.567021i | ||||
\(627\) | −33.5616 | + | 8.88803i | −1.34032 | + | 0.354954i | ||||
\(628\) | −2.11368 | − | 3.66101i | −0.0843452 | − | 0.146090i | ||||
\(629\) | 13.1338 | + | 11.0206i | 0.523679 | + | 0.439419i | ||||
\(630\) | 31.7581 | + | 9.78197i | 1.26527 | + | 0.389723i | ||||
\(631\) | 7.95077 | + | 45.0910i | 0.316515 | + | 1.79505i | 0.563596 | + | 0.826051i | \(0.309418\pi\) |
−0.247081 | + | 0.968995i | \(0.579471\pi\) | |||||||
\(632\) | −1.33914 | + | 0.487409i | −0.0532683 | + | 0.0193881i | ||||
\(633\) | −27.5085 | − | 21.9282i | −1.09337 | − | 0.871568i | ||||
\(634\) | −53.5790 | −2.12789 | ||||||||
\(635\) | −15.1575 | − | 26.2535i | −0.601506 | − | 1.04184i | ||||
\(636\) | 20.2143 | − | 7.93826i | 0.801550 | − | 0.314773i | ||||
\(637\) | 23.5674 | + | 8.57783i | 0.933774 | + | 0.339866i | ||||
\(638\) | 26.6582 | − | 46.1734i | 1.05541 | − | 1.82802i | ||||
\(639\) | −8.02063 | − | 6.07027i | −0.317291 | − | 0.240136i | ||||
\(640\) | −2.51243 | − | 0.914449i | −0.0993124 | − | 0.0361468i | ||||
\(641\) | 5.99804 | − | 2.18311i | 0.236908 | − | 0.0862275i | −0.220838 | − | 0.975311i | \(-0.570879\pi\) |
0.457746 | + | 0.889083i | \(0.348657\pi\) | |||||||
\(642\) | 16.2651 | + | 12.9656i | 0.641930 | + | 0.511710i | ||||
\(643\) | −2.66069 | + | 15.0895i | −0.104927 | + | 0.595072i | 0.886322 | + | 0.463069i | \(0.153252\pi\) |
−0.991249 | + | 0.132003i | \(0.957859\pi\) | |||||||
\(644\) | 23.4833 | − | 8.54721i | 0.925371 | − | 0.336807i | ||||
\(645\) | 0.981327 | + | 4.84929i | 0.0386397 | + | 0.190940i | ||||
\(646\) | 11.5586 | + | 26.7197i | 0.454769 | + | 1.05127i | ||||
\(647\) | 16.8690 | 0.663190 | 0.331595 | − | 0.943422i | \(-0.392413\pi\) | ||||
0.331595 | + | 0.943422i | \(0.392413\pi\) | |||||||
\(648\) | −1.83075 | + | 0.184693i | −0.0719185 | + | 0.00725542i | ||||
\(649\) | 33.4865 | − | 12.1881i | 1.31446 | − | 0.478424i | ||||
\(650\) | −21.6661 | + | 18.1800i | −0.849815 | + | 0.713080i | ||||
\(651\) | 24.3637 | − | 0.612535i | 0.954890 | − | 0.0240071i | ||||
\(652\) | 13.8324 | − | 11.6067i | 0.541718 | − | 0.454555i | ||||
\(653\) | 15.6246 | 0.611437 | 0.305718 | − | 0.952122i | \(-0.401103\pi\) | ||||
0.305718 | + | 0.952122i | \(0.401103\pi\) | |||||||
\(654\) | 2.74065 | + | 13.5431i | 0.107168 | + | 0.529576i | ||||
\(655\) | 15.5581 | + | 5.66267i | 0.607904 | + | 0.221259i | ||||
\(656\) | 12.8714 | − | 10.8003i | 0.502542 | − | 0.421683i | ||||
\(657\) | −1.24499 | + | 9.96751i | −0.0485716 | + | 0.388870i | ||||
\(658\) | −12.4952 | − | 21.6424i | −0.487115 | − | 0.843708i | ||||
\(659\) | 3.61092 | + | 20.4785i | 0.140661 | + | 0.797731i | 0.970749 | + | 0.240097i | \(0.0771794\pi\) |
−0.830087 | + | 0.557633i | \(0.811709\pi\) | |||||||
\(660\) | −13.0944 | + | 24.0570i | −0.509699 | + | 0.936416i | ||||
\(661\) | 28.1355 | + | 10.2405i | 1.09434 | + | 0.398308i | 0.825228 | − | 0.564800i | \(-0.191047\pi\) |
0.269115 | + | 0.963108i | \(0.413269\pi\) | |||||||
\(662\) | 2.20942 | − | 12.5302i | 0.0858714 | − | 0.487001i | ||||
\(663\) | 17.9299 | + | 29.3276i | 0.696338 | + | 1.13899i | ||||
\(664\) | −0.614811 | − | 1.06488i | −0.0238593 | − | 0.0413255i | ||||
\(665\) | 1.41102 | + | 23.8006i | 0.0547169 | + | 0.922946i | ||||
\(666\) | −25.1828 | − | 19.0591i | −0.975812 | − | 0.738527i | ||||
\(667\) | −15.6106 | − | 13.0988i | −0.604444 | − | 0.507189i | ||||
\(668\) | 9.24242 | + | 7.75531i | 0.357600 | + | 0.300062i | ||||
\(669\) | 1.97397 | + | 1.57354i | 0.0763182 | + | 0.0608365i | ||||
\(670\) | 38.3594 | + | 32.1874i | 1.48195 | + | 1.24351i | ||||
\(671\) | 4.16197 | − | 3.49231i | 0.160671 | − | 0.134819i | ||||
\(672\) | 35.0588 | − | 30.9522i | 1.35242 | − | 1.19401i | ||||
\(673\) | 21.3235 | 0.821960 | 0.410980 | − | 0.911644i | \(-0.365187\pi\) | ||||
0.410980 | + | 0.911644i | \(0.365187\pi\) | |||||||
\(674\) | −9.47923 | + | 7.95402i | −0.365126 | + | 0.306377i | ||||
\(675\) | −2.98306 | − | 11.6855i | −0.114818 | − | 0.449774i | ||||
\(676\) | −24.3810 | + | 42.2292i | −0.937732 | + | 1.62420i | ||||
\(677\) | 12.7705 | − | 22.1191i | 0.490808 | − | 0.850105i | −0.509136 | − | 0.860686i | \(-0.670035\pi\) |
0.999944 | + | 0.0105812i | \(0.00336815\pi\) | |||||||
\(678\) | −2.76160 | + | 18.3473i | −0.106059 | + | 0.704623i | ||||
\(679\) | −29.0219 | − | 24.3522i | −1.11376 | − | 0.934553i | ||||
\(680\) | 1.03709 | + | 0.377472i | 0.0397708 | + | 0.0144754i | ||||
\(681\) | −2.38972 | + | 4.39037i | −0.0915741 | + | 0.168239i | ||||
\(682\) | −6.80882 | + | 38.6147i | −0.260723 | + | 1.47863i | ||||
\(683\) | −11.6108 | −0.444275 | −0.222138 | − | 0.975015i | \(-0.571303\pi\) | ||||
−0.222138 | + | 0.975015i | \(0.571303\pi\) | |||||||
\(684\) | −12.1612 | − | 24.6354i | −0.464996 | − | 0.941958i | ||||
\(685\) | 4.88350 | 0.186589 | ||||||||
\(686\) | 3.32821 | − | 18.8752i | 0.127072 | − | 0.720659i | ||||
\(687\) | 6.69938 | − | 0.168431i | 0.255597 | − | 0.00642604i | ||||
\(688\) | 6.21196 | + | 2.26097i | 0.236829 | + | 0.0861986i | ||||
\(689\) | 27.5099 | + | 23.0836i | 1.04805 | + | 0.879414i | ||||
\(690\) | 15.9788 | + | 12.7374i | 0.608302 | + | 0.484903i | ||||
\(691\) | 12.9765 | − | 22.4760i | 0.493651 | − | 0.855029i | −0.506322 | − | 0.862344i | \(-0.668995\pi\) |
0.999973 | + | 0.00731577i | \(0.00232870\pi\) | |||||||
\(692\) | 5.78040 | − | 10.0119i | 0.219738 | − | 0.380597i | ||||
\(693\) | −25.0288 | − | 38.7177i | −0.950764 | − | 1.47076i | ||||
\(694\) | −45.6552 | + | 38.3093i | −1.73305 | + | 1.45420i | ||||
\(695\) | −21.2836 | −0.807332 | ||||||||
\(696\) | 1.92196 | + | 0.645311i | 0.0728517 | + | 0.0244605i | ||||
\(697\) | −11.2070 | + | 9.40376i | −0.424494 | + | 0.356193i | ||||
\(698\) | 45.2538 | + | 37.9724i | 1.71288 | + | 1.43728i | ||||
\(699\) | −4.27347 | + | 1.67821i | −0.161637 | + | 0.0634758i | ||||
\(700\) | −12.4833 | − | 10.4748i | −0.471825 | − | 0.395908i | ||||
\(701\) | 6.57464 | + | 5.51678i | 0.248321 | + | 0.208366i | 0.758449 | − | 0.651733i | \(-0.225958\pi\) |
−0.510128 | + | 0.860098i | \(0.670402\pi\) | |||||||
\(702\) | −35.7008 | − | 52.2951i | −1.34744 | − | 1.97375i | ||||
\(703\) | 6.47631 | − | 21.7144i | 0.244259 | − | 0.818974i | ||||
\(704\) | 20.2021 | + | 34.9911i | 0.761397 | + | 1.31878i | ||||
\(705\) | 5.00485 | − | 9.19488i | 0.188494 | − | 0.346299i | ||||
\(706\) | 9.38314 | − | 53.2144i | 0.353139 | − | 2.00275i | ||||
\(707\) | −45.2305 | − | 16.4626i | −1.70107 | − | 0.619139i | ||||
\(708\) | 14.7090 | + | 24.0592i | 0.552798 | + | 0.904201i | ||||
\(709\) | −0.167217 | − | 0.948336i | −0.00627997 | − | 0.0356155i | 0.981507 | − | 0.191428i | \(-0.0613117\pi\) |
−0.987787 | + | 0.155812i | \(0.950201\pi\) | |||||||
\(710\) | −5.55678 | − | 9.62462i | −0.208542 | − | 0.361206i | ||||
\(711\) | 19.2659 | − | 8.13044i | 0.722526 | − | 0.304915i | ||||
\(712\) | 0.602314 | − | 0.505402i | 0.0225727 | − | 0.0189407i | ||||
\(713\) | 14.0829 | + | 5.12575i | 0.527408 | + | 0.191961i | ||||
\(714\) | −28.9805 | + | 25.5859i | −1.08457 | + | 0.957529i | ||||
\(715\) | −45.2920 | −1.69383 | ||||||||
\(716\) | −39.1622 | + | 32.8610i | −1.46356 | + | 1.22807i | ||||
\(717\) | 14.0699 | − | 25.8492i | 0.525451 | − | 0.965355i | ||||
\(718\) | 12.3996 | − | 10.4045i | 0.462749 | − | 0.388292i | ||||
\(719\) | −17.6880 | + | 6.43790i | −0.659650 | + | 0.240093i | −0.650085 | − | 0.759861i | \(-0.725267\pi\) |
−0.00956499 | + | 0.999954i | \(0.503045\pi\) | |||||||
\(720\) | 17.7756 | + | 5.47515i | 0.662457 | + | 0.204047i | ||||
\(721\) | −53.8470 | −2.00537 | ||||||||
\(722\) | 26.3461 | − | 28.0416i | 0.980499 | − | 1.04360i | ||||
\(723\) | 5.00888 | − | 4.42217i | 0.186282 | − | 0.164462i | ||||
\(724\) | 6.13004 | − | 2.23115i | 0.227821 | − | 0.0829201i | ||||
\(725\) | −2.30748 | + | 13.0864i | −0.0856978 | + | 0.486016i | ||||
\(726\) | 33.1279 | − | 13.0095i | 1.22949 | − | 0.482828i | ||||
\(727\) | −7.38625 | + | 2.68837i | −0.273941 | + | 0.0997063i | −0.475338 | − | 0.879803i | \(-0.657674\pi\) |
0.201397 | + | 0.979510i | \(0.435452\pi\) | |||||||
\(728\) | −3.86337 | − | 1.40615i | −0.143186 | − | 0.0521155i | ||||
\(729\) | 26.6935 | − | 4.05661i | 0.988649 | − | 0.150245i | ||||
\(730\) | −5.54915 | + | 9.61142i | −0.205383 | + | 0.355734i | ||||
\(731\) | −5.40869 | − | 1.96860i | −0.200048 | − | 0.0728114i | ||||
\(732\) | 3.36189 | + | 2.67990i | 0.124259 | + | 0.0990520i | ||||
\(733\) | −13.4417 | − | 23.2817i | −0.496481 | − | 0.859930i | 0.503511 | − | 0.863989i | \(-0.332041\pi\) |
−0.999992 | + | 0.00405915i | \(0.998708\pi\) | |||||||
\(734\) | 30.1785 | 1.11391 | ||||||||
\(735\) | −10.9981 | + | 4.31902i | −0.405672 | + | 0.159309i | ||||
\(736\) | 27.0241 | − | 9.83596i | 0.996120 | − | 0.362558i | ||||
\(737\) | −12.0638 | − | 68.4169i | −0.444374 | − | 2.52017i | ||||
\(738\) | 19.7473 | − | 18.3377i | 0.726909 | − | 0.675021i | ||||
\(739\) | 16.8603 | + | 14.1474i | 0.620215 | + | 0.520422i | 0.897871 | − | 0.440259i | \(-0.145113\pi\) |
−0.277656 | + | 0.960680i | \(0.589558\pi\) | |||||||
\(740\) | −8.93820 | − | 15.4814i | −0.328575 | − | 0.569108i | ||||
\(741\) | 26.1663 | − | 37.1385i | 0.961242 | − | 1.36432i | ||||
\(742\) | −20.1940 | + | 34.9771i | −0.741346 | + | 1.28405i | ||||
\(743\) | 14.1896 | − | 5.16458i | 0.520565 | − | 0.189470i | −0.0683556 | − | 0.997661i | \(-0.521775\pi\) |
0.588921 | + | 0.808191i | \(0.299553\pi\) | |||||||
\(744\) | −1.49054 | + | 0.0374740i | −0.0546458 | + | 0.00137386i | ||||
\(745\) | −10.8633 | + | 9.11539i | −0.398001 | + | 0.333962i | ||||
\(746\) | −3.95706 | + | 22.4416i | −0.144878 | + | 0.821645i | ||||
\(747\) | 9.79529 | + | 15.1526i | 0.358391 | + | 0.554405i | ||||
\(748\) | −15.9321 | − | 27.5952i | −0.582534 | − | 1.00898i | ||||
\(749\) | −19.8177 | −0.724124 | ||||||||
\(750\) | 6.25584 | − | 41.5619i | 0.228431 | − | 1.51763i | ||||
\(751\) | −1.03504 | − | 5.87003i | −0.0377693 | − | 0.214200i | 0.960082 | − | 0.279718i | \(-0.0902411\pi\) |
−0.997851 | + | 0.0655180i | \(0.979130\pi\) | |||||||
\(752\) | −6.99381 | − | 12.1136i | −0.255038 | − | 0.441739i | ||||
\(753\) | −17.2028 | + | 15.1878i | −0.626906 | + | 0.553474i | ||||
\(754\) | 12.1149 | + | 68.7069i | 0.441198 | + | 2.50216i | ||||
\(755\) | 1.59422 | − | 9.04129i | 0.0580198 | − | 0.329046i | ||||
\(756\) | 26.1011 | − | 25.4893i | 0.949288 | − | 0.927037i | ||||
\(757\) | −41.7714 | + | 15.2035i | −1.51821 | + | 0.552582i | −0.960700 | − | 0.277590i | \(-0.910464\pi\) |
−0.557507 | + | 0.830172i | \(0.688242\pi\) | |||||||
\(758\) | −0.913376 | + | 5.18001i | −0.0331753 | + | 0.188147i | ||||
\(759\) | −5.62309 | − | 27.7868i | −0.204105 | − | 1.00860i | ||||
\(760\) | −0.0863240 | − | 1.45608i | −0.00313130 | − | 0.0528177i | ||||
\(761\) | 0.124644 | − | 0.215890i | 0.00451835 | − | 0.00782602i | −0.863757 | − | 0.503908i | \(-0.831895\pi\) |
0.868276 | + | 0.496082i | \(0.165228\pi\) | |||||||
\(762\) | −64.9435 | + | 1.63276i | −2.35266 | + | 0.0591487i | ||||
\(763\) | −10.0848 | − | 8.46218i | −0.365095 | − | 0.306351i | ||||
\(764\) | 0.296382 | + | 1.68087i | 0.0107227 | + | 0.0608117i | ||||
\(765\) | −15.4770 | − | 4.76716i | −0.559573 | − | 0.172357i | ||||
\(766\) | 3.48310 | + | 1.26774i | 0.125849 | + | 0.0458055i | ||||
\(767\) | −23.3153 | + | 40.3833i | −0.841867 | + | 1.45816i | ||||
\(768\) | 18.5214 | − | 16.3519i | 0.668335 | − | 0.590050i | ||||
\(769\) | 7.05924 | + | 40.0349i | 0.254563 | + | 1.44370i | 0.797193 | + | 0.603725i | \(0.206317\pi\) |
−0.542630 | + | 0.839972i | \(0.682572\pi\) | |||||||
\(770\) | −8.84523 | − | 50.1638i | −0.318760 | − | 1.80778i | ||||
\(771\) | −25.9383 | + | 22.9001i | −0.934147 | + | 0.824726i | ||||
\(772\) | −27.5202 | + | 47.6664i | −0.990475 | + | 1.71555i | ||||
\(773\) | −10.8974 | − | 3.96632i | −0.391951 | − | 0.142659i | 0.138524 | − | 0.990359i | \(-0.455764\pi\) |
−0.530475 | + | 0.847700i | \(0.677986\pi\) | |||||||
\(774\) | 10.1328 | + | 3.12104i | 0.364214 | + | 0.112184i | ||||
\(775\) | −1.69699 | − | 9.62410i | −0.0609577 | − | 0.345708i | ||||
\(776\) | 1.77551 | + | 1.48983i | 0.0637373 | + | 0.0534819i | ||||
\(777\) | 30.0804 | − | 0.756260i | 1.07913 | − | 0.0271307i | ||||
\(778\) | −8.29269 | + | 14.3634i | −0.297307 | + | 0.514951i | ||||
\(779\) | 17.2876 | + | 8.65970i | 0.619393 | + | 0.310266i | ||||
\(780\) | −7.10881 | − | 35.1286i | −0.254536 | − | 1.25781i | ||||
\(781\) | −2.67742 | + | 15.1844i | −0.0958058 | + | 0.543342i | ||||
\(782\) | −22.3388 | + | 8.13066i | −0.798834 | + | 0.290752i | ||||
\(783\) | −28.6423 | − | 8.03990i | −1.02359 | − | 0.287323i | ||||
\(784\) | −2.74146 | + | 15.5476i | −0.0979094 | + | 0.555272i | ||||
\(785\) | 0.571887 | + | 3.24333i | 0.0204115 | + | 0.115759i | ||||
\(786\) | 26.5976 | − | 23.4821i | 0.948705 | − | 0.837580i | ||||
\(787\) | −26.1852 | − | 45.3542i | −0.933403 | − | 1.61670i | −0.777458 | − | 0.628935i | \(-0.783491\pi\) |
−0.155945 | − | 0.987766i | \(-0.549842\pi\) | |||||||
\(788\) | 5.48560 | + | 31.1104i | 0.195416 | + | 1.10826i | ||||
\(789\) | −6.68618 | + | 44.4210i | −0.238034 | + | 1.58143i | ||||
\(790\) | 23.1040 | 0.822003 | ||||||||
\(791\) | −8.83870 | − | 15.3091i | −0.314268 | − | 0.544328i | ||||
\(792\) | 1.53122 | + | 2.36869i | 0.0544097 | + | 0.0841677i | ||||
\(793\) | −1.23453 | + | 7.00139i | −0.0438396 | + | 0.248627i | ||||
\(794\) | 26.6211 | − | 22.3378i | 0.944747 | − | 0.792737i | ||||
\(795\) | −16.9136 | + | 0.425228i | −0.599862 | + | 0.0150813i | ||||
\(796\) | −28.2152 | + | 10.2695i | −1.00006 | + | 0.363992i | ||||
\(797\) | 6.28491 | − | 10.8858i | 0.222623 | − | 0.385594i | −0.732981 | − | 0.680249i | \(-0.761871\pi\) |
0.955604 | + | 0.294655i | \(0.0952048\pi\) | |||||||
\(798\) | 46.2433 | + | 21.7279i | 1.63699 | + | 0.769160i | ||||
\(799\) | 6.08944 | + | 10.5472i | 0.215429 | + | 0.373134i | ||||
\(800\) | −14.3655 | − | 12.0541i | −0.507899 | − | 0.426178i | ||||
\(801\) | −8.45429 | + | 7.85082i | −0.298718 | + | 0.277395i | ||||
\(802\) | −7.85467 | − | 44.5461i | −0.277358 | − | 1.57298i | ||||
\(803\) | 14.4689 | − | 5.26626i | 0.510598 | − | 0.185842i | ||||
\(804\) | 51.1709 | − | 20.0951i | 1.80466 | − | 0.708698i | ||||
\(805\) | −19.4690 | −0.686190 | ||||||||
\(806\) | −25.6542 | − | 44.4344i | −0.903632 | − | 1.56514i | ||||
\(807\) | −37.4990 | − | 29.8920i | −1.32003 | − | 1.05225i | ||||
\(808\) | 2.76714 | + | 1.00716i | 0.0973476 | + | 0.0354316i | ||||
\(809\) | 14.8222 | − | 25.6727i | 0.521119 | − | 0.902605i | −0.478579 | − | 0.878044i | \(-0.658848\pi\) |
0.999698 | − | 0.0245605i | \(-0.00781864\pi\) | |||||||
\(810\) | 28.9148 | + | 7.33766i | 1.01596 | + | 0.257819i | ||||
\(811\) | −6.44816 | − | 2.34694i | −0.226426 | − | 0.0824122i | 0.226316 | − | 0.974054i | \(-0.427332\pi\) |
−0.452742 | + | 0.891642i | \(0.649554\pi\) | |||||||
\(812\) | −37.7732 | + | 13.7483i | −1.32558 | + | 0.482471i | ||||
\(813\) | −17.3202 | + | 6.80175i | −0.607448 | + | 0.238548i | ||||
\(814\) | −8.40644 | + | 47.6753i | −0.294646 | + | 1.67102i | ||||
\(815\) | −13.2190 | + | 4.81132i | −0.463041 | + | 0.168533i | ||||
\(816\) | −16.2209 | + | 14.3209i | −0.567847 | + | 0.501332i | ||||
\(817\) | 0.450200 | + | 7.59382i | 0.0157505 | + | 0.265674i | ||||
\(818\) | 31.0562 | 1.08586 | ||||||||
\(819\) | 57.6548 | + | 17.7586i | 2.01462 | + | 0.620534i | ||||
\(820\) | 14.3339 | − | 5.21710i | 0.500560 | − | 0.182189i | ||||
\(821\) | 10.3304 | − | 8.66820i | 0.360532 | − | 0.302522i | −0.444471 | − | 0.895793i | \(-0.646608\pi\) |
0.805003 | + | 0.593271i | \(0.202164\pi\) | |||||||
\(822\) | 5.00316 | − | 9.19177i | 0.174505 | − | 0.320600i | ||||
\(823\) | 9.61267 | − | 8.06599i | 0.335077 | − | 0.281163i | −0.459688 | − | 0.888080i | \(-0.652039\pi\) |
0.794765 | + | 0.606918i | \(0.207594\pi\) | |||||||
\(824\) | 3.29428 | 0.114762 | ||||||||
\(825\) | −13.8585 | + | 12.2352i | −0.482489 | + | 0.425973i | ||||
\(826\) | −49.2804 | − | 17.9366i | −1.71468 | − | 0.624094i | ||||
\(827\) | 13.2010 | − | 11.0770i | 0.459044 | − | 0.385184i | −0.383735 | − | 0.923443i | \(-0.625362\pi\) |
0.842779 | + | 0.538260i | \(0.180918\pi\) | |||||||
\(828\) | 20.6690 | − | 8.72257i | 0.718296 | − | 0.303130i | ||||
\(829\) | −3.36576 | − | 5.82966i | −0.116898 | − | 0.202473i | 0.801639 | − | 0.597808i | \(-0.203962\pi\) |
−0.918537 | + | 0.395336i | \(0.870628\pi\) | |||||||
\(830\) | 3.46168 | + | 19.6322i | 0.120157 | + | 0.681442i | ||||
\(831\) | 5.83582 | + | 9.54554i | 0.202442 | + | 0.331131i | ||||
\(832\) | −49.6822 | − | 18.0828i | −1.72242 | − | 0.626909i | ||||
\(833\) | 2.38696 | − | 13.5372i | 0.0827034 | − | 0.469034i | ||||
\(834\) | −21.8051 | + | 40.0602i | −0.755048 | + | 1.38717i | ||||
\(835\) | −4.69972 | − | 8.14015i | −0.162640 | − | 0.281701i | ||||
\(836\) | −25.1132 | + | 33.8060i | −0.868557 | + | 1.16921i | ||||
\(837\) | 21.8163 | − | 1.64825i | 0.754082 | − | 0.0569717i | ||||
\(838\) | 1.70187 | + | 1.42804i | 0.0587900 | + | 0.0493307i | ||||
\(839\) | −25.0718 | − | 21.0377i | −0.865574 | − | 0.726303i | 0.0975873 | − | 0.995227i | \(-0.468887\pi\) |
−0.963161 | + | 0.268924i | \(0.913332\pi\) | |||||||
\(840\) | 1.80291 | − | 0.708011i | 0.0622062 | − | 0.0244287i | ||||
\(841\) | 2.89455 | + | 2.42882i | 0.0998121 | + | 0.0837523i | ||||
\(842\) | −13.8871 | + | 11.6527i | −0.478582 | + | 0.401578i | ||||
\(843\) | 44.3927 | + | 14.9052i | 1.52897 | + | 0.513361i | ||||
\(844\) | −42.6718 | −1.46882 | ||||||||
\(845\) | 29.1009 | − | 24.4185i | 1.00110 | − | 0.840023i | ||||
\(846\) | −12.1792 | − | 18.8404i | −0.418730 | − | 0.647745i | ||||
\(847\) | −16.9547 | + | 29.3664i | −0.582570 | + | 1.00904i | ||||
\(848\) | −11.3030 | + | 19.5773i | −0.388145 | + | 0.672287i | ||||
\(849\) | 21.7962 | + | 17.3747i | 0.748045 | + | 0.596298i | ||||
\(850\) | 11.8749 | + | 9.96426i | 0.407307 | + | 0.341771i | ||||
\(851\) | 17.3873 | + | 6.32845i | 0.596028 | + | 0.216937i | ||||
\(852\) | −12.1973 | + | 0.306656i | −0.417873 | + | 0.0105058i | ||||
\(853\) | 7.65866 | − | 43.4344i | 0.262228 | − | 1.48717i | −0.514588 | − | 0.857438i | \(-0.672055\pi\) |
0.776815 | − | 0.629729i | \(-0.216834\pi\) | |||||||
\(854\) | −7.99557 | −0.273603 | ||||||||
\(855\) | 2.33874 | + | 21.2754i | 0.0799833 | + | 0.727602i | ||||
\(856\) | 1.21242 | 0.0414397 | ||||||||
\(857\) | −2.04661 | + | 11.6069i | −0.0699109 | + | 0.396484i | 0.929693 | + | 0.368336i | \(0.120072\pi\) |
−0.999604 | + | 0.0281486i | \(0.991039\pi\) | |||||||
\(858\) | −46.4018 | + | 85.2491i | −1.58413 | + | 2.91036i | ||||
\(859\) | 11.6015 | + | 4.22262i | 0.395840 | + | 0.144074i | 0.532268 | − | 0.846576i | \(-0.321340\pi\) |
−0.136428 | + | 0.990650i | \(0.543562\pi\) | |||||||
\(860\) | 4.59731 | + | 3.85760i | 0.156767 | + | 0.131543i | ||||
\(861\) | −3.82159 | + | 25.3895i | −0.130239 | + | 0.865271i | ||||
\(862\) | −36.8027 | + | 63.7441i | −1.25351 | + | 2.17113i | ||||
\(863\) | −13.9436 | + | 24.1510i | −0.474645 | + | 0.822110i | −0.999578 | − | 0.0290338i | \(-0.990757\pi\) |
0.524933 | + | 0.851143i | \(0.324090\pi\) | |||||||
\(864\) | 30.0366 | − | 29.3325i | 1.02187 | − | 0.997914i | ||||
\(865\) | −6.89940 | + | 5.78928i | −0.234587 | + | 0.196842i | ||||
\(866\) | −8.51315 | −0.289289 | ||||||||
\(867\) | −7.94984 | + | 7.01864i | −0.269991 | + | 0.238366i | ||||
\(868\) | 22.6460 | − | 19.0023i | 0.768656 | − | 0.644979i | ||||
\(869\) | −24.5547 | − | 20.6039i | −0.832962 | − | 0.698938i | ||||
\(870\) | −25.7021 | − | 20.4882i | −0.871383 | − | 0.694616i | ||||
\(871\) | 69.6391 | + | 58.4342i | 2.35963 | + | 1.97997i | ||||
\(872\) | 0.616975 | + | 0.517704i | 0.0208934 | + | 0.0175317i | ||||
\(873\) | −27.1188 | − | 20.5244i | −0.917833 | − | 0.694646i | ||||
\(874\) | 21.5846 | + | 22.8308i | 0.730110 | + | 0.772264i | ||||
\(875\) | 20.0222 | + | 34.6795i | 0.676875 | + | 1.17238i | ||||
\(876\) | 6.35550 | + | 10.3956i | 0.214732 | + | 0.351234i | ||||
\(877\) | −2.35231 | + | 13.3406i | −0.0794317 | + | 0.450480i | 0.918988 | + | 0.394285i | \(0.129008\pi\) |
−0.998420 | + | 0.0561945i | \(0.982103\pi\) | |||||||
\(878\) | 51.2359 | + | 18.6483i | 1.72913 | + | 0.629351i | ||||
\(879\) | 7.76553 | − | 14.2668i | 0.261925 | − | 0.481207i | ||||
\(880\) | −4.95083 | − | 28.0776i | −0.166893 | − | 0.946495i | ||||
\(881\) | 22.9782 | + | 39.7993i | 0.774154 | + | 1.34087i | 0.935269 | + | 0.353938i | \(0.115158\pi\) |
−0.161115 | + | 0.986936i | \(0.551509\pi\) | |||||||
\(882\) | −3.13831 | + | 25.1256i | −0.105672 | + | 0.846024i | ||||
\(883\) | 28.1694 | − | 23.6369i | 0.947976 | − | 0.795446i | −0.0309797 | − | 0.999520i | \(-0.509863\pi\) |
0.978955 | + | 0.204074i | \(0.0654183\pi\) | |||||||
\(884\) | 39.1810 | + | 14.2607i | 1.31780 | + | 0.479640i | ||||
\(885\) | −4.35741 | − | 21.5324i | −0.146473 | − | 0.723804i | ||||
\(886\) | 50.3785 | 1.69250 | ||||||||
\(887\) | 11.4007 | − | 9.56629i | 0.382797 | − | 0.321205i | −0.431002 | − | 0.902351i | \(-0.641840\pi\) |
0.813799 | + | 0.581146i | \(0.197396\pi\) | |||||||
\(888\) | −1.84028 | + | 0.0462669i | −0.0617557 | + | 0.00155262i | ||||
\(889\) | 47.4143 | − | 39.7853i | 1.59022 | − | 1.33436i | ||||
\(890\) | −11.9784 | + | 4.35980i | −0.401518 | + | 0.146141i | ||||
\(891\) | −24.1868 | − | 33.5843i | −0.810287 | − | 1.12511i | ||||
\(892\) | 3.06207 | 0.102526 | ||||||||
\(893\) | 9.59857 | − | 12.9211i | 0.321204 | − | 0.432388i | ||||
\(894\) | 6.02761 | + | 29.7858i | 0.201593 | + | 0.996185i | ||||
\(895\) | 37.4256 | − | 13.6218i | 1.25100 | − | 0.455327i | ||||
\(896\) | 0.947930 | − | 5.37598i | 0.0316681 | − | 0.179599i | ||||
\(897\) | 29.0085 | + | 23.1239i | 0.968565 | + | 0.772084i | ||||
\(898\) | −42.8694 | + | 15.6032i | −1.43057 | + | 0.520685i | ||||
\(899\) | −22.6525 | − | 8.24483i | −0.755503 | − | 0.274981i | ||||
\(900\) | −11.6648 | − | 8.82828i | −0.388826 | − | 0.294276i | ||||
\(901\) | 9.84138 | − | 17.0458i | 0.327864 | − | 0.567877i | ||||
\(902\) | −38.8173 | − | 14.1283i | −1.29247 | − | 0.470422i | ||||
\(903\) | −9.40259 | + | 3.69244i | −0.312899 | + | 0.122877i | ||||
\(904\) | 0.540738 | + | 0.936586i | 0.0179847 | + | 0.0311504i | ||||
\(905\) | −5.08215 | −0.168936 | ||||||||
\(906\) | −15.3843 | − | 12.2635i | −0.511110 | − | 0.407427i | ||||
\(907\) | −28.5039 | + | 10.3746i | −0.946456 | + | 0.344482i | −0.768712 | − | 0.639595i | \(-0.779102\pi\) |
−0.177744 | + | 0.984077i | \(0.556880\pi\) | |||||||
\(908\) | 1.05287 | + | 5.97114i | 0.0349408 | + | 0.198159i | ||||
\(909\) | −41.2952 | − | 12.7196i | −1.36968 | − | 0.421881i | ||||
\(910\) | 51.0599 | + | 42.8443i | 1.69262 | + | 1.42028i | ||||
\(911\) | −11.0550 | − | 19.1478i | −0.366269 | − | 0.634396i | 0.622710 | − | 0.782453i | \(-0.286032\pi\) |
−0.988979 | + | 0.148057i | \(0.952698\pi\) | |||||||
\(912\) | 25.8832 | + | 12.1615i | 0.857079 | + | 0.402708i | ||||
\(913\) | 13.8287 | − | 23.9520i | 0.457662 | − | 0.792695i | ||||
\(914\) | 29.5020 | − | 10.7379i | 0.975839 | − | 0.355177i | ||||
\(915\) | −1.74708 | − | 2.85767i | −0.0577568 | − | 0.0944718i | ||||
\(916\) | 6.22705 | − | 5.22512i | 0.205748 | − | 0.172643i | ||||
\(917\) | −5.87000 | + | 33.2904i | −0.193844 | + | 1.09935i | ||||
\(918\) | −24.8291 | + | 24.2471i | −0.819481 | + | 0.800272i | ||||
\(919\) | −10.9848 | − | 19.0262i | −0.362355 | − | 0.627618i | 0.625993 | − | 0.779829i | \(-0.284694\pi\) |
−0.988348 | + | 0.152211i | \(0.951361\pi\) | |||||||
\(920\) | 1.19108 | 0.0392688 | ||||||||
\(921\) | 16.3229 | + | 13.0117i | 0.537858 | + | 0.428749i | ||||
\(922\) | 1.76726 | + | 10.0226i | 0.0582016 | + | 0.330078i | ||||
\(923\) | −10.0880 | − | 17.4729i | −0.332050 | − | 0.575127i | ||||
\(924\) | −53.0141 | − | 17.7998i | −1.74404 | − | 0.585572i | ||||
\(925\) | −2.09517 | − | 11.8823i | −0.0688888 | − | 0.390688i | ||||
\(926\) | 13.0314 | − | 73.9050i | 0.428240 | − | 2.42867i | ||||
\(927\) | −48.2779 | + | 2.42907i | −1.58566 | + | 0.0797811i | ||||
\(928\) | −43.4686 | + | 15.8213i | −1.42693 | + | 0.519359i | ||||
\(929\) | −9.22044 | + | 52.2917i | −0.302513 | + | 1.71564i | 0.332474 | + | 0.943113i | \(0.392117\pi\) |
−0.634987 | + | 0.772523i | \(0.718994\pi\) | |||||||
\(930\) | 22.9155 | + | 7.69405i | 0.751430 | + | 0.252298i | ||||
\(931\) | −17.6733 | + | 4.20803i | −0.579218 | + | 0.137913i | ||||
\(932\) | −2.78453 | + | 4.82294i | −0.0912102 | + | 0.157981i | ||||
\(933\) | 28.6589 | + | 46.8768i | 0.938249 | + | 1.53468i | ||||
\(934\) | −4.21652 | − | 3.53808i | −0.137969 | − | 0.115770i | ||||
\(935\) | 4.31064 | + | 24.4469i | 0.140973 | + | 0.799498i | ||||
\(936\) | −3.52724 | − | 1.08644i | −0.115291 | − | 0.0355115i | ||||
\(937\) | 44.7864 | + | 16.3009i | 1.46311 | + | 0.532527i | 0.946219 | − | 0.323526i | \(-0.104868\pi\) |
0.516887 | + | 0.856053i | \(0.327091\pi\) | |||||||
\(938\) | −51.1195 | + | 88.5415i | −1.66911 | + | 2.89098i | ||||
\(939\) | −2.77904 | − | 13.7328i | −0.0906905 | − | 0.448152i | ||||
\(940\) | −2.20506 | − | 12.5055i | −0.0719212 | − | 0.407886i | ||||
\(941\) | −0.0481674 | − | 0.273171i | −0.00157021 | − | 0.00890511i | 0.984013 | − | 0.178099i | \(-0.0569947\pi\) |
−0.985583 | + | 0.169194i | \(0.945884\pi\) | |||||||
\(942\) | 6.69053 | + | 2.24639i | 0.217989 | + | 0.0731914i | ||||
\(943\) | −7.89429 | + | 13.6733i | −0.257073 | + | 0.445264i | ||||
\(944\) | −27.5831 | − | 10.0394i | −0.897755 | − | 0.326756i | ||||
\(945\) | −25.8997 | + | 11.7053i | −0.842517 | + | 0.380775i | ||||
\(946\) | −2.82216 | − | 16.0053i | −0.0917564 | − | 0.520376i | ||||
\(947\) | 36.9997 | + | 31.0465i | 1.20233 | + | 1.00887i | 0.999560 | + | 0.0296477i | \(0.00943853\pi\) |
0.202769 | + | 0.979227i | \(0.435006\pi\) | |||||||
\(948\) | 12.1264 | − | 22.2786i | 0.393848 | − | 0.723574i | ||||
\(949\) | −10.0741 | + | 17.4489i | −0.327020 | + | 0.566416i | ||||
\(950\) | 5.85556 | − | 19.6331i | 0.189979 | − | 0.636981i | ||||
\(951\) | 34.3534 | − | 30.3294i | 1.11398 | − | 0.983499i | ||||
\(952\) | −0.391292 | + | 2.21913i | −0.0126818 | + | 0.0719223i | ||||
\(953\) | 0.146928 | − | 0.0534775i | 0.00475947 | − | 0.00173231i | −0.339639 | − | 0.940556i | \(-0.610305\pi\) |
0.344399 | + | 0.938823i | \(0.388083\pi\) | |||||||
\(954\) | −16.5276 | + | 32.2705i | −0.535102 | + | 1.04480i | ||||
\(955\) | 0.230899 | − | 1.30949i | 0.00747172 | − | 0.0423742i | ||||
\(956\) | −6.19900 | − | 35.1563i | −0.200490 | − | 1.13704i | ||||
\(957\) | 9.04482 | + | 44.6955i | 0.292378 | + | 1.44480i | ||||
\(958\) | 14.8714 | + | 25.7581i | 0.480475 | + | 0.832206i | ||||
\(959\) | 1.73141 | + | 9.81930i | 0.0559101 | + | 0.317082i | ||||
\(960\) | 23.1850 | − | 9.10487i | 0.748293 | − | 0.293859i | ||||
\(961\) | −13.2716 | −0.428115 | ||||||||
\(962\) | −31.6737 | − | 54.8605i | −1.02120 | − | 1.76877i | ||||
\(963\) | −17.7681 | + | 0.893990i | −0.572569 | + | 0.0288084i | ||||
\(964\) | 1.40738 | − | 7.98164i | 0.0453286 | − | 0.257071i | ||||
\(965\) | 32.8477 | − | 27.5625i | 1.05741 | − | 0.887269i | ||||
\(966\) | −19.9460 | + | 36.6447i | −0.641752 | + | 1.17902i | ||||
\(967\) | 37.6205 | − | 13.6928i | 1.20980 | − | 0.440329i | 0.343163 | − | 0.939276i | \(-0.388502\pi\) |
0.866633 | + | 0.498947i | \(0.166280\pi\) | |||||||
\(968\) | 1.03726 | − | 1.79659i | 0.0333389 | − | 0.0577447i | ||||
\(969\) | −22.5363 | − | 10.5889i | −0.723969 | − | 0.340165i | ||||
\(970\) | −18.7882 | − | 32.5422i | −0.603253 | − | 1.04487i | ||||
\(971\) | −34.3716 | − | 28.8412i | −1.10304 | − | 0.925557i | −0.105411 | − | 0.994429i | \(-0.533616\pi\) |
−0.997626 | + | 0.0688716i | \(0.978060\pi\) | |||||||
\(972\) | 22.2518 | − | 24.0305i | 0.713727 | − | 0.770779i | ||||
\(973\) | −7.54593 | − | 42.7951i | −0.241911 | − | 1.37195i | ||||
\(974\) | 28.9975 | − | 10.5542i | 0.929140 | − | 0.338179i | ||||
\(975\) | 3.60056 | − | 23.9211i | 0.115310 | − | 0.766087i | ||||
\(976\) | −4.47527 | −0.143250 | ||||||||
\(977\) | 23.3962 | + | 40.5235i | 0.748512 | + | 1.29646i | 0.948536 | + | 0.316670i | \(0.102565\pi\) |
−0.200024 | + | 0.979791i | \(0.564102\pi\) | |||||||
\(978\) | −4.48698 | + | 29.8101i | −0.143478 | + | 0.953223i | ||||
\(979\) | 16.6186 | + | 6.04867i | 0.531133 | + | 0.193316i | ||||
\(980\) | −7.16620 | + | 12.4122i | −0.228916 | + | 0.396494i | ||||
\(981\) | −9.42355 | − | 7.13205i | −0.300871 | − | 0.227709i | ||||
\(982\) | 21.5587 | + | 7.84672i | 0.687966 | + | 0.250399i | ||||
\(983\) | −1.79749 | + | 0.654233i | −0.0573310 | + | 0.0208668i | −0.370526 | − | 0.928822i | \(-0.620823\pi\) |
0.313195 | + | 0.949689i | \(0.398601\pi\) | |||||||
\(984\) | 0.233799 | − | 1.55329i | 0.00745324 | − | 0.0495171i | ||||
\(985\) | 4.27360 | − | 24.2368i | 0.136168 | − | 0.772248i | ||||
\(986\) | 35.9323 | − | 13.0783i | 1.14432 | − | 0.416497i | ||||
\(987\) | 20.2627 | + | 6.80333i | 0.644968 | + | 0.216552i | ||||
\(988\) | −3.26128 | − | 55.0102i | −0.103755 | − | 1.75011i | ||||
\(989\) | −6.21177 | −0.197523 | ||||||||
\(990\) | −10.1933 | − | 44.5766i | −0.323965 | − | 1.41674i | ||||
\(991\) | 39.9043 | − | 14.5240i | 1.26760 | − | 0.461370i | 0.381289 | − | 0.924456i | \(-0.375480\pi\) |
0.886313 | + | 0.463086i | \(0.153258\pi\) | |||||||
\(992\) | 26.0606 | − | 21.8674i | 0.827424 | − | 0.694291i | ||||
\(993\) | 5.67635 | + | 9.28471i | 0.180134 | + | 0.294641i | ||||
\(994\) | 17.3822 | − | 14.5854i | 0.551330 | − | 0.462621i | ||||
\(995\) | 23.3920 | 0.741575 | ||||||||
\(996\) | 20.7477 | + | 6.96617i | 0.657416 | + | 0.220732i | ||||
\(997\) | 56.9057 | + | 20.7120i | 1.80222 | + | 0.655955i | 0.998108 | + | 0.0614784i | \(0.0195815\pi\) |
0.804113 | + | 0.594477i | \(0.202641\pi\) | |||||||
\(998\) | 39.9869 | − | 33.5530i | 1.26576 | − | 1.06210i | ||||
\(999\) | 26.9353 | − | 2.03499i | 0.852195 | − | 0.0643843i |
(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 | 171.2.v.a.130.4 | yes | 108 | |
3.2 | odd | 2 | 513.2.z.a.415.15 | 108 | |||
9.2 | odd | 6 | 513.2.bd.a.73.4 | 108 | |||
9.7 | even | 3 | 171.2.w.a.16.15 | yes | 108 | ||
19.6 | even | 9 | 171.2.w.a.139.15 | yes | 108 | ||
57.44 | odd | 18 | 513.2.bd.a.253.4 | 108 | |||
171.25 | even | 9 | inner | 171.2.v.a.25.4 | ✓ | 108 | |
171.101 | odd | 18 | 513.2.z.a.424.15 | 108 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
171.2.v.a.25.4 | ✓ | 108 | 171.25 | even | 9 | inner | |
171.2.v.a.130.4 | yes | 108 | 1.1 | even | 1 | trivial | |
171.2.w.a.16.15 | yes | 108 | 9.7 | even | 3 | ||
171.2.w.a.139.15 | yes | 108 | 19.6 | even | 9 | ||
513.2.z.a.415.15 | 108 | 3.2 | odd | 2 | |||
513.2.z.a.424.15 | 108 | 171.101 | odd | 18 | |||
513.2.bd.a.73.4 | 108 | 9.2 | odd | 6 | |||
513.2.bd.a.253.4 | 108 | 57.44 | odd | 18 |