Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [165,2,Mod(29,165)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(165, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 5, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("165.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 165 = 3 \cdot 5 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 165.r (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.31753163335\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 29.8 | ||
Character | \(\chi\) | \(=\) | 165.29 |
Dual form | 165.2.r.a.74.8 |
$q$-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 \(\left(\mathbb{Z}/165\mathbb{Z}\right)^\times\).
\(n\) | \(46\) | \(56\) | \(67\) |
\(\chi(n)\) | \(e\left(\frac{7}{10}\right)\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.413334 | + | 0.568905i | −0.292271 | + | 0.402277i | −0.929750 | − | 0.368191i | \(-0.879977\pi\) |
0.637479 | + | 0.770468i | \(0.279977\pi\) | |||||||
\(3\) | 1.71421 | + | 0.247937i | 0.989702 | + | 0.143146i | ||||
\(4\) | 0.465226 | + | 1.43182i | 0.232613 | + | 0.715909i | ||||
\(5\) | 2.00721 | − | 0.985452i | 0.897651 | − | 0.440707i | ||||
\(6\) | −0.849595 | + | 0.872744i | −0.346846 | + | 0.356296i | ||||
\(7\) | −0.615368 | − | 1.89391i | −0.232587 | − | 0.715830i | −0.997432 | − | 0.0716158i | \(-0.977184\pi\) |
0.764845 | − | 0.644214i | \(-0.222816\pi\) | |||||||
\(8\) | −2.34444 | − | 0.761754i | −0.828884 | − | 0.269321i | ||||
\(9\) | 2.87705 | + | 0.850033i | 0.959018 | + | 0.283344i | ||||
\(10\) | −0.269018 | + | 1.54923i | −0.0850711 | + | 0.489910i | ||||
\(11\) | −3.26241 | + | 0.597209i | −0.983655 | + | 0.180065i | ||||
\(12\) | 0.442496 | + | 2.56979i | 0.127738 | + | 0.741834i | ||||
\(13\) | −3.43403 | − | 2.49497i | −0.952429 | − | 0.691980i | −0.00104920 | − | 0.999999i | \(-0.500334\pi\) |
−0.951380 | + | 0.308019i | \(0.900334\pi\) | |||||||
\(14\) | 1.33181 | + | 0.432730i | 0.355940 | + | 0.115652i | ||||
\(15\) | 3.68511 | − | 1.19161i | 0.951492 | − | 0.307673i | ||||
\(16\) | −1.03355 | + | 0.750920i | −0.258388 | + | 0.187730i | ||||
\(17\) | 2.51291 | + | 3.45873i | 0.609471 | + | 0.838864i | 0.996534 | − | 0.0831888i | \(-0.0265105\pi\) |
−0.387063 | + | 0.922053i | \(0.626510\pi\) | |||||||
\(18\) | −1.67277 | + | 1.28542i | −0.394276 | + | 0.302977i | ||||
\(19\) | 0.257486 | + | 0.0836623i | 0.0590714 | + | 0.0191935i | 0.338404 | − | 0.941001i | \(-0.390113\pi\) |
−0.279332 | + | 0.960195i | \(0.590113\pi\) | |||||||
\(20\) | 2.34479 | + | 2.41550i | 0.524312 | + | 0.540122i | ||||
\(21\) | −0.585303 | − | 3.39914i | −0.127724 | − | 0.741752i | ||||
\(22\) | 1.00871 | − | 2.10285i | 0.215058 | − | 0.448329i | ||||
\(23\) | −4.30856 | −0.898397 | −0.449198 | − | 0.893432i | \(-0.648290\pi\) | ||||
−0.449198 | + | 0.893432i | \(0.648290\pi\) | |||||||
\(24\) | −3.83000 | − | 1.88708i | −0.781795 | − | 0.385199i | ||||
\(25\) | 3.05777 | − | 3.95601i | 0.611554 | − | 0.791203i | ||||
\(26\) | 2.83880 | − | 0.922383i | 0.556735 | − | 0.180894i | ||||
\(27\) | 4.72113 | + | 2.17047i | 0.908582 | + | 0.417706i | ||||
\(28\) | 2.42545 | − | 1.76219i | 0.458366 | − | 0.333023i | ||||
\(29\) | 2.26468 | + | 6.96997i | 0.420540 | + | 1.29429i | 0.907200 | + | 0.420699i | \(0.138215\pi\) |
−0.486660 | + | 0.873591i | \(0.661785\pi\) | |||||||
\(30\) | −0.845266 | + | 2.58901i | −0.154324 | + | 0.472687i | ||||
\(31\) | −5.24479 | − | 3.81056i | −0.941992 | − | 0.684397i | 0.00690742 | − | 0.999976i | \(-0.497801\pi\) |
−0.948899 | + | 0.315579i | \(0.897801\pi\) | |||||||
\(32\) | − | 5.82855i | − | 1.03035i | ||||||
\(33\) | −5.74054 | + | 0.214872i | −0.999300 | + | 0.0374044i | ||||
\(34\) | −3.00636 | −0.515586 | ||||||||
\(35\) | −3.10153 | − | 3.19505i | −0.524254 | − | 0.540063i | ||||
\(36\) | 0.121388 | + | 4.51488i | 0.0202313 | + | 0.752479i | ||||
\(37\) | −5.66863 | + | 1.84185i | −0.931917 | + | 0.302798i | −0.735346 | − | 0.677692i | \(-0.762980\pi\) |
−0.196571 | + | 0.980490i | \(0.562980\pi\) | |||||||
\(38\) | −0.154024 | + | 0.111905i | −0.0249859 | + | 0.0181533i | ||||
\(39\) | −5.26807 | − | 5.12834i | −0.843566 | − | 0.821191i | ||||
\(40\) | −5.45645 | + | 0.781331i | −0.862740 | + | 0.123539i | ||||
\(41\) | 2.95108 | − | 9.08248i | 0.460881 | − | 1.41844i | −0.403210 | − | 0.915108i | \(-0.632105\pi\) |
0.864090 | − | 0.503337i | \(-0.167895\pi\) | |||||||
\(42\) | 2.17571 | + | 1.07200i | 0.335719 | + | 0.165413i | ||||
\(43\) | 1.68949 | 0.257645 | 0.128822 | − | 0.991668i | \(-0.458880\pi\) | ||||
0.128822 | + | 0.991668i | \(0.458880\pi\) | |||||||
\(44\) | −2.37285 | − | 4.39334i | −0.357721 | − | 0.662322i | ||||
\(45\) | 6.61251 | − | 1.12901i | 0.985735 | − | 0.168302i | ||||
\(46\) | 1.78087 | − | 2.45116i | 0.262575 | − | 0.361404i | ||||
\(47\) | −0.0723398 | + | 0.222639i | −0.0105518 | + | 0.0324752i | −0.956194 | − | 0.292734i | \(-0.905435\pi\) |
0.945642 | + | 0.325210i | \(0.105435\pi\) | |||||||
\(48\) | −1.95791 | + | 1.03098i | −0.282600 | + | 0.148809i | ||||
\(49\) | 2.45491 | − | 1.78359i | 0.350701 | − | 0.254799i | ||||
\(50\) | 0.986717 | + | 3.37473i | 0.139543 | + | 0.477260i | ||||
\(51\) | 3.45012 | + | 6.55204i | 0.483114 | + | 0.917469i | ||||
\(52\) | 1.97474 | − | 6.07763i | 0.273848 | − | 0.842816i | ||||
\(53\) | −5.61095 | − | 4.07659i | −0.770723 | − | 0.559963i | 0.131458 | − | 0.991322i | \(-0.458034\pi\) |
−0.902180 | + | 0.431359i | \(0.858034\pi\) | |||||||
\(54\) | −3.18619 | + | 1.78875i | −0.433586 | + | 0.243418i | ||||
\(55\) | −5.95982 | + | 4.41367i | −0.803622 | + | 0.595140i | ||||
\(56\) | 4.90891i | 0.655981i | ||||||||
\(57\) | 0.420643 | + | 0.207255i | 0.0557156 | + | 0.0274516i | ||||
\(58\) | −4.90132 | − | 1.59253i | −0.643574 | − | 0.209110i | ||||
\(59\) | 10.0360 | − | 3.26089i | 1.30657 | − | 0.424531i | 0.428710 | − | 0.903442i | \(-0.358968\pi\) |
0.877864 | + | 0.478911i | \(0.158968\pi\) | |||||||
\(60\) | 3.42058 | + | 4.72204i | 0.441595 | + | 0.609613i | ||||
\(61\) | 5.68030 | + | 7.81826i | 0.727288 | + | 1.00103i | 0.999250 | + | 0.0387180i | \(0.0123274\pi\) |
−0.271962 | + | 0.962308i | \(0.587673\pi\) | |||||||
\(62\) | 4.33570 | − | 1.40875i | 0.550634 | − | 0.178912i | ||||
\(63\) | −0.160564 | − | 5.97196i | −0.0202291 | − | 0.752396i | ||||
\(64\) | 1.24878 | + | 0.907295i | 0.156098 | + | 0.113412i | ||||
\(65\) | −9.35149 | − | 1.62385i | −1.15991 | − | 0.201414i | ||||
\(66\) | 2.25052 | − | 3.35464i | 0.277020 | − | 0.412927i | ||||
\(67\) | 0.901700i | 0.110160i | 0.998482 | + | 0.0550801i | \(0.0175414\pi\) | ||||
−0.998482 | + | 0.0550801i | \(0.982459\pi\) | |||||||
\(68\) | −3.78319 | + | 5.20712i | −0.458780 | + | 0.631456i | ||||
\(69\) | −7.38579 | − | 1.06825i | −0.889145 | − | 0.128602i | ||||
\(70\) | 3.09965 | − | 0.443851i | 0.370479 | − | 0.0530504i | ||||
\(71\) | −0.309146 | − | 0.425503i | −0.0366889 | − | 0.0504979i | 0.790278 | − | 0.612748i | \(-0.209936\pi\) |
−0.826967 | + | 0.562250i | \(0.809936\pi\) | |||||||
\(72\) | −6.09756 | − | 4.18446i | −0.718604 | − | 0.493143i | ||||
\(73\) | 3.18366 | + | 9.79830i | 0.372619 | + | 1.14680i | 0.945071 | + | 0.326866i | \(0.105992\pi\) |
−0.572451 | + | 0.819939i | \(0.694008\pi\) | |||||||
\(74\) | 1.29520 | − | 3.98621i | 0.150564 | − | 0.463387i | ||||
\(75\) | 6.22251 | − | 6.02332i | 0.718514 | − | 0.695513i | ||||
\(76\) | 0.407595i | 0.0467544i | ||||||||
\(77\) | 3.13864 | + | 5.81121i | 0.357682 | + | 0.662249i | ||||
\(78\) | 5.09501 | − | 0.877318i | 0.576896 | − | 0.0993367i | ||||
\(79\) | 0.132574 | − | 0.182473i | 0.0149158 | − | 0.0205298i | −0.801494 | − | 0.598003i | \(-0.795961\pi\) |
0.816410 | + | 0.577473i | \(0.195961\pi\) | |||||||
\(80\) | −1.33456 | + | 2.52577i | −0.149208 | + | 0.282390i | ||||
\(81\) | 7.55489 | + | 4.89118i | 0.839432 | + | 0.543465i | ||||
\(82\) | 3.94729 | + | 5.43298i | 0.435905 | + | 0.599972i | ||||
\(83\) | 1.18199 | + | 1.62687i | 0.129740 | + | 0.178572i | 0.868945 | − | 0.494909i | \(-0.164799\pi\) |
−0.739205 | + | 0.673480i | \(0.764799\pi\) | |||||||
\(84\) | 4.59464 | − | 2.41941i | 0.501317 | − | 0.263980i | ||||
\(85\) | 8.45235 | + | 4.46603i | 0.916786 | + | 0.484409i | ||||
\(86\) | −0.698323 | + | 0.961159i | −0.0753021 | + | 0.103644i | ||||
\(87\) | 2.15403 | + | 12.5095i | 0.230937 | + | 1.34116i | ||||
\(88\) | 8.10345 | + | 1.08504i | 0.863831 | + | 0.115665i | ||||
\(89\) | 15.8563i | 1.68076i | 0.541995 | + | 0.840382i | \(0.317669\pi\) | ||||
−0.541995 | + | 0.840382i | \(0.682331\pi\) | |||||||
\(90\) | −2.09088 | + | 4.22855i | −0.220398 | + | 0.445728i | ||||
\(91\) | −2.61205 | + | 8.03907i | −0.273817 | + | 0.842724i | ||||
\(92\) | −2.00445 | − | 6.16907i | −0.208979 | − | 0.643170i | ||||
\(93\) | −8.04591 | − | 7.83249i | −0.834322 | − | 0.812192i | ||||
\(94\) | −0.0967600 | − | 0.133179i | −0.00998003 | − | 0.0137363i | ||||
\(95\) | 0.599274 | − | 0.0858125i | 0.0614842 | − | 0.00880417i | ||||
\(96\) | 1.44511 | − | 9.99138i | 0.147491 | − | 1.01974i | ||||
\(97\) | 1.94083 | − | 2.67133i | 0.197062 | − | 0.271232i | −0.699038 | − | 0.715084i | \(-0.746388\pi\) |
0.896100 | + | 0.443852i | \(0.146388\pi\) | |||||||
\(98\) | 2.13383i | 0.215549i | ||||||||
\(99\) | −9.89379 | − | 1.05496i | −0.994363 | − | 0.106027i | ||||
\(100\) | 7.08684 | + | 2.53773i | 0.708684 | + | 0.253773i | ||||
\(101\) | −1.38290 | − | 1.00474i | −0.137604 | − | 0.0999752i | 0.516854 | − | 0.856074i | \(-0.327103\pi\) |
−0.654458 | + | 0.756098i | \(0.727103\pi\) | |||||||
\(102\) | −5.15354 | − | 0.745387i | −0.510276 | − | 0.0738043i | ||||
\(103\) | 5.63920 | − | 1.83229i | 0.555647 | − | 0.180541i | −0.0177148 | − | 0.999843i | \(-0.505639\pi\) |
0.573361 | + | 0.819303i | \(0.305639\pi\) | |||||||
\(104\) | 6.15032 | + | 8.46519i | 0.603089 | + | 0.830080i | ||||
\(105\) | −4.52451 | − | 6.24599i | −0.441547 | − | 0.609546i | ||||
\(106\) | 4.63839 | − | 1.50710i | 0.450520 | − | 0.146383i | ||||
\(107\) | 3.00951 | + | 0.977849i | 0.290940 | + | 0.0945322i | 0.450851 | − | 0.892599i | \(-0.351121\pi\) |
−0.159911 | + | 0.987131i | \(0.551121\pi\) | |||||||
\(108\) | −0.911318 | + | 7.76956i | −0.0876917 | + | 0.747626i | ||||
\(109\) | − | 3.60358i | − | 0.345160i | −0.984996 | − | 0.172580i | \(-0.944790\pi\) | ||
0.984996 | − | 0.172580i | \(-0.0552103\pi\) | |||||||
\(110\) | −0.0475657 | − | 5.21489i | −0.00453521 | − | 0.497221i | ||||
\(111\) | −10.1739 | + | 1.75186i | −0.965664 | + | 0.166279i | ||||
\(112\) | 2.05819 | + | 1.49536i | 0.194481 | + | 0.141298i | ||||
\(113\) | 2.37599 | − | 7.31255i | 0.223515 | − | 0.687907i | −0.774924 | − | 0.632054i | \(-0.782212\pi\) |
0.998439 | − | 0.0558532i | \(-0.0177879\pi\) | |||||||
\(114\) | −0.291775 | + | 0.153640i | −0.0273272 | + | 0.0143897i | ||||
\(115\) | −8.64818 | + | 4.24588i | −0.806447 | + | 0.395930i | ||||
\(116\) | −8.92613 | + | 6.48522i | −0.828771 | + | 0.602137i | ||||
\(117\) | −7.75909 | − | 10.0972i | −0.717328 | − | 0.933487i | ||||
\(118\) | −2.29307 | + | 7.05735i | −0.211095 | + | 0.649682i | ||||
\(119\) | 5.00415 | − | 6.88762i | 0.458729 | − | 0.631387i | ||||
\(120\) | −9.54723 | − | 0.0134851i | −0.871539 | − | 0.00123101i | ||||
\(121\) | 10.2867 | − | 3.89669i | 0.935153 | − | 0.354244i | ||||
\(122\) | −6.79571 | −0.615254 | ||||||||
\(123\) | 7.31065 | − | 14.8376i | 0.659179 | − | 1.33786i | ||||
\(124\) | 3.01602 | − | 9.28235i | 0.270847 | − | 0.833580i | ||||
\(125\) | 2.23912 | − | 10.9538i | 0.200273 | − | 0.979740i | ||||
\(126\) | 3.46385 | + | 2.37707i | 0.308584 | + | 0.211766i | ||||
\(127\) | −8.13967 | + | 5.91381i | −0.722279 | + | 0.524766i | −0.887111 | − | 0.461555i | \(-0.847292\pi\) |
0.164833 | + | 0.986322i | \(0.447292\pi\) | |||||||
\(128\) | 10.0542 | − | 3.26682i | 0.888677 | − | 0.288749i | ||||
\(129\) | 2.89614 | + | 0.418886i | 0.254991 | + | 0.0368809i | ||||
\(130\) | 4.78911 | − | 4.64892i | 0.420032 | − | 0.407737i | ||||
\(131\) | −15.8485 | −1.38469 | −0.692345 | − | 0.721567i | \(-0.743422\pi\) | ||||
−0.692345 | + | 0.721567i | \(0.743422\pi\) | |||||||
\(132\) | −2.97831 | − | 8.11945i | −0.259228 | − | 0.706707i | ||||
\(133\) | − | 0.539138i | − | 0.0467492i | ||||||
\(134\) | −0.512982 | − | 0.372703i | −0.0443149 | − | 0.0321966i | ||||
\(135\) | 11.6152 | − | 0.295871i | 0.999676 | − | 0.0254645i | ||||
\(136\) | −3.25667 | − | 10.0230i | −0.279257 | − | 0.859464i | ||||
\(137\) | −10.2568 | + | 7.45199i | −0.876296 | + | 0.636667i | −0.932269 | − | 0.361766i | \(-0.882174\pi\) |
0.0559727 | + | 0.998432i | \(0.482174\pi\) | |||||||
\(138\) | 3.66053 | − | 3.76027i | 0.311605 | − | 0.320095i | ||||
\(139\) | −14.4997 | + | 4.71125i | −1.22985 | + | 0.399603i | −0.850661 | − | 0.525715i | \(-0.823798\pi\) |
−0.379192 | + | 0.925318i | \(0.623798\pi\) | |||||||
\(140\) | 3.13182 | − | 5.92724i | 0.264687 | − | 0.500943i | ||||
\(141\) | −0.179206 | + | 0.363715i | −0.0150919 | + | 0.0306303i | ||||
\(142\) | 0.369851 | 0.0310372 | ||||||||
\(143\) | 12.6933 | + | 6.08879i | 1.06146 | + | 0.509170i | ||||
\(144\) | −3.61190 | + | 1.28188i | −0.300991 | + | 0.106824i | ||||
\(145\) | 11.4142 | + | 11.7584i | 0.947902 | + | 0.976485i | ||||
\(146\) | −6.89022 | − | 2.23877i | −0.570238 | − | 0.185282i | ||||
\(147\) | 4.65045 | − | 2.44880i | 0.383563 | − | 0.201974i | ||||
\(148\) | −5.27438 | − | 7.25957i | −0.433552 | − | 0.596733i | ||||
\(149\) | 7.06258 | − | 5.13126i | 0.578589 | − | 0.420370i | −0.259626 | − | 0.965709i | \(-0.583599\pi\) |
0.838215 | + | 0.545340i | \(0.183599\pi\) | |||||||
\(150\) | 0.854722 | + | 6.02966i | 0.0697878 | + | 0.492320i | ||||
\(151\) | −17.9932 | − | 5.84634i | −1.46426 | − | 0.475768i | −0.534895 | − | 0.844919i | \(-0.679649\pi\) |
−0.929370 | + | 0.369150i | \(0.879649\pi\) | |||||||
\(152\) | −0.539930 | − | 0.392282i | −0.0437941 | − | 0.0318183i | ||||
\(153\) | 4.28975 | + | 12.0870i | 0.346806 | + | 0.977176i | ||||
\(154\) | −4.60333 | − | 0.616378i | −0.370947 | − | 0.0496691i | ||||
\(155\) | −14.2825 | − | 2.48011i | −1.14720 | − | 0.199207i | ||||
\(156\) | 4.89200 | − | 9.92875i | 0.391673 | − | 0.794936i | ||||
\(157\) | 13.5930 | + | 4.41663i | 1.08484 | + | 0.352486i | 0.796250 | − | 0.604968i | \(-0.206814\pi\) |
0.288589 | + | 0.957453i | \(0.406814\pi\) | |||||||
\(158\) | 0.0490124 | + | 0.150845i | 0.00389921 | + | 0.0120005i | ||||
\(159\) | −8.60762 | − | 8.37931i | −0.682629 | − | 0.664522i | ||||
\(160\) | −5.74375 | − | 11.6991i | −0.454084 | − | 0.924896i | ||||
\(161\) | 2.65135 | + | 8.16002i | 0.208956 | + | 0.643100i | ||||
\(162\) | −5.90531 | + | 2.27632i | −0.463965 | + | 0.178845i | ||||
\(163\) | −13.2562 | + | 18.2456i | −1.03831 | + | 1.42910i | −0.139780 | + | 0.990183i | \(0.544640\pi\) |
−0.898525 | + | 0.438922i | \(0.855360\pi\) | |||||||
\(164\) | 14.3774 | 1.12268 | ||||||||
\(165\) | −11.3107 | + | 6.08832i | −0.880538 | + | 0.473975i | ||||
\(166\) | −1.41409 | −0.109754 | ||||||||
\(167\) | −3.15252 | + | 4.33906i | −0.243949 | + | 0.335767i | −0.913381 | − | 0.407107i | \(-0.866538\pi\) |
0.669432 | + | 0.742874i | \(0.266538\pi\) | |||||||
\(168\) | −1.21710 | + | 8.41492i | −0.0939012 | + | 0.649225i | ||||
\(169\) | 1.55048 | + | 4.77189i | 0.119268 | + | 0.367069i | ||||
\(170\) | −6.03439 | + | 2.96262i | −0.462816 | + | 0.227223i | ||||
\(171\) | 0.669686 | + | 0.459573i | 0.0512122 | + | 0.0351444i | ||||
\(172\) | 0.785994 | + | 2.41904i | 0.0599315 | + | 0.184450i | ||||
\(173\) | 15.5063 | + | 5.03829i | 1.17892 | + | 0.383054i | 0.831965 | − | 0.554828i | \(-0.187216\pi\) |
0.346954 | + | 0.937882i | \(0.387216\pi\) | |||||||
\(174\) | −8.00706 | − | 3.94516i | −0.607013 | − | 0.299082i | ||||
\(175\) | −9.37398 | − | 3.35673i | −0.708606 | − | 0.253745i | ||||
\(176\) | 2.92342 | − | 3.06706i | 0.220361 | − | 0.231188i | ||||
\(177\) | 18.0123 | − | 3.10157i | 1.35389 | − | 0.233128i | ||||
\(178\) | −9.02072 | − | 6.55394i | −0.676132 | − | 0.491239i | ||||
\(179\) | 0.255080 | + | 0.0828804i | 0.0190655 | + | 0.00619477i | 0.318534 | − | 0.947911i | \(-0.396809\pi\) |
−0.299469 | + | 0.954106i | \(0.596809\pi\) | |||||||
\(180\) | 4.69284 | + | 8.94267i | 0.349784 | + | 0.666548i | ||||
\(181\) | −0.172984 | + | 0.125680i | −0.0128578 | + | 0.00934174i | −0.594196 | − | 0.804321i | \(-0.702529\pi\) |
0.581338 | + | 0.813662i | \(0.302529\pi\) | |||||||
\(182\) | −3.49382 | − | 4.80883i | −0.258979 | − | 0.356454i | ||||
\(183\) | 7.79881 | + | 14.8105i | 0.576505 | + | 1.09483i | ||||
\(184\) | 10.1012 | + | 3.28206i | 0.744667 | + | 0.241957i | ||||
\(185\) | −9.56307 | + | 9.28313i | −0.703091 | + | 0.682510i | ||||
\(186\) | 7.78159 | − | 1.33993i | 0.570574 | − | 0.0982481i | ||||
\(187\) | −10.2637 | − | 9.78306i | −0.750559 | − | 0.715408i | ||||
\(188\) | −0.352433 | −0.0257038 | ||||||||
\(189\) | 1.20543 | − | 10.2770i | 0.0876820 | − | 0.747544i | ||||
\(190\) | −0.198881 | + | 0.376399i | −0.0144283 | + | 0.0273068i | ||||
\(191\) | 3.78974 | − | 1.23136i | 0.274216 | − | 0.0890981i | −0.168681 | − | 0.985671i | \(-0.553951\pi\) |
0.442897 | + | 0.896573i | \(0.353951\pi\) | |||||||
\(192\) | 1.91573 | + | 1.86492i | 0.138256 | + | 0.134589i | ||||
\(193\) | 13.1028 | − | 9.51974i | 0.943160 | − | 0.685246i | −0.00601903 | − | 0.999982i | \(-0.501916\pi\) |
0.949179 | + | 0.314736i | \(0.101916\pi\) | |||||||
\(194\) | 0.717520 | + | 2.20830i | 0.0515149 | + | 0.158547i | ||||
\(195\) | −15.6278 | − | 5.10221i | −1.11913 | − | 0.365377i | ||||
\(196\) | 3.69587 | + | 2.68521i | 0.263991 | + | 0.191800i | ||||
\(197\) | − | 5.69572i | − | 0.405803i | −0.979199 | − | 0.202902i | \(-0.934963\pi\) | ||
0.979199 | − | 0.202902i | \(-0.0650371\pi\) | |||||||
\(198\) | 4.68961 | − | 5.19258i | 0.333276 | − | 0.369020i | ||||
\(199\) | 12.2362 | 0.867398 | 0.433699 | − | 0.901058i | \(-0.357208\pi\) | ||||
0.433699 | + | 0.901058i | \(0.357208\pi\) | |||||||
\(200\) | −10.1823 | + | 6.94536i | −0.719995 | + | 0.491111i | ||||
\(201\) | −0.223565 | + | 1.54571i | −0.0157690 | + | 0.109026i | ||||
\(202\) | 1.14320 | − | 0.371449i | 0.0804354 | − | 0.0261350i | ||||
\(203\) | 11.8069 | − | 8.57819i | 0.828680 | − | 0.602071i | ||||
\(204\) | −7.77624 | + | 7.98812i | −0.544446 | + | 0.559280i | ||||
\(205\) | −3.02692 | − | 21.1386i | −0.211409 | − | 1.47638i | ||||
\(206\) | −1.28847 | + | 3.96551i | −0.0897722 | + | 0.276290i | ||||
\(207\) | −12.3960 | − | 3.66242i | −0.861579 | − | 0.254556i | ||||
\(208\) | 5.42278 | 0.376002 | ||||||||
\(209\) | −0.889990 | − | 0.119168i | −0.0615619 | − | 0.00824303i | ||||
\(210\) | 5.42350 | + | 0.00766047i | 0.374257 | + | 0.000528623i | ||||
\(211\) | −2.15988 | + | 2.97283i | −0.148693 | + | 0.204658i | −0.876866 | − | 0.480736i | \(-0.840370\pi\) |
0.728173 | + | 0.685393i | \(0.240370\pi\) | |||||||
\(212\) | 3.22658 | − | 9.93039i | 0.221602 | − | 0.682022i | ||||
\(213\) | −0.424444 | − | 0.806051i | −0.0290824 | − | 0.0552297i | ||||
\(214\) | −1.80023 | + | 1.30795i | −0.123061 | + | 0.0894094i | ||||
\(215\) | 3.39116 | − | 1.66491i | 0.231275 | − | 0.113546i | ||||
\(216\) | −9.41504 | − | 8.68486i | −0.640612 | − | 0.590930i | ||||
\(217\) | −3.98938 | + | 12.2780i | −0.270817 | + | 0.833488i | ||||
\(218\) | 2.05009 | + | 1.48948i | 0.138850 | + | 0.100880i | ||||
\(219\) | 3.02812 | + | 17.5857i | 0.204621 | + | 1.18833i | ||||
\(220\) | −9.09224 | − | 6.48003i | −0.612999 | − | 0.436883i | ||||
\(221\) | − | 18.1470i | − | 1.22070i | ||||||
\(222\) | 3.20857 | − | 6.51209i | 0.215345 | − | 0.437063i | ||||
\(223\) | −15.0251 | − | 4.88195i | −1.00616 | − | 0.326920i | −0.240833 | − | 0.970567i | \(-0.577421\pi\) |
−0.765323 | + | 0.643647i | \(0.777421\pi\) | |||||||
\(224\) | −11.0387 | + | 3.58670i | −0.737557 | + | 0.239647i | ||||
\(225\) | 12.1601 | − | 8.78246i | 0.810674 | − | 0.585498i | ||||
\(226\) | 3.17807 | + | 4.37424i | 0.211402 | + | 0.290970i | ||||
\(227\) | 1.32797 | − | 0.431484i | 0.0881405 | − | 0.0286386i | −0.264615 | − | 0.964354i | \(-0.585245\pi\) |
0.352755 | + | 0.935716i | \(0.385245\pi\) | |||||||
\(228\) | −0.101058 | + | 0.698705i | −0.00669272 | + | 0.0462729i | ||||
\(229\) | 8.52126 | + | 6.19106i | 0.563101 | + | 0.409117i | 0.832593 | − | 0.553886i | \(-0.186856\pi\) |
−0.269492 | + | 0.963003i | \(0.586856\pi\) | |||||||
\(230\) | 1.15908 | − | 6.67496i | 0.0764276 | − | 0.440134i | ||||
\(231\) | 3.93949 | + | 10.7398i | 0.259200 | + | 0.706629i | ||||
\(232\) | − | 18.0658i | − | 1.18608i | ||||||
\(233\) | −9.20055 | + | 12.6635i | −0.602748 | + | 0.829611i | −0.995956 | − | 0.0898380i | \(-0.971365\pi\) |
0.393208 | + | 0.919449i | \(0.371365\pi\) | |||||||
\(234\) | 8.95145 | − | 0.240671i | 0.585174 | − | 0.0157331i | ||||
\(235\) | 0.0741990 | + | 0.518170i | 0.00484021 | + | 0.0338017i | ||||
\(236\) | 9.33799 | + | 12.8526i | 0.607852 | + | 0.836636i | ||||
\(237\) | 0.272503 | − | 0.279928i | 0.0177009 | − | 0.0181833i | ||||
\(238\) | 1.85002 | + | 5.69377i | 0.119919 | + | 0.369072i | ||||
\(239\) | −5.67665 | + | 17.4709i | −0.367192 | + | 1.13010i | 0.581405 | + | 0.813614i | \(0.302503\pi\) |
−0.948597 | + | 0.316487i | \(0.897497\pi\) | |||||||
\(240\) | −2.91395 | + | 3.99882i | −0.188095 | + | 0.258123i | ||||
\(241\) | 1.75403i | 0.112987i | 0.998403 | + | 0.0564935i | \(0.0179920\pi\) | ||||
−0.998403 | + | 0.0564935i | \(0.982008\pi\) | |||||||
\(242\) | −2.03499 | + | 7.46278i | −0.130814 | + | 0.479725i | ||||
\(243\) | 11.7380 | + | 10.2577i | 0.752992 | + | 0.658029i | ||||
\(244\) | −8.55170 | + | 11.7704i | −0.547467 | + | 0.753523i | ||||
\(245\) | 3.16986 | − | 5.99924i | 0.202515 | − | 0.383277i | ||||
\(246\) | 5.41946 | + | 10.2920i | 0.345532 | + | 0.656191i | ||||
\(247\) | −0.675481 | − | 0.929720i | −0.0429798 | − | 0.0591567i | ||||
\(248\) | 9.39337 | + | 12.9289i | 0.596480 | + | 0.820984i | ||||
\(249\) | 1.62282 | + | 3.08185i | 0.102842 | + | 0.195304i | ||||
\(250\) | 5.30618 | + | 5.80143i | 0.335592 | + | 0.366915i | ||||
\(251\) | 6.58509 | − | 9.06359i | 0.415647 | − | 0.572089i | −0.548937 | − | 0.835863i | \(-0.684967\pi\) |
0.964584 | + | 0.263775i | \(0.0849675\pi\) | |||||||
\(252\) | 8.47606 | − | 3.00821i | 0.533942 | − | 0.189499i | ||||
\(253\) | 14.0563 | − | 2.57311i | 0.883712 | − | 0.161770i | ||||
\(254\) | − | 7.07508i | − | 0.443930i | ||||||
\(255\) | 13.3818 | + | 9.75138i | 0.838003 | + | 0.610655i | ||||
\(256\) | −3.25123 | + | 10.0063i | −0.203202 | + | 0.625391i | ||||
\(257\) | 1.92104 | + | 5.91235i | 0.119831 | + | 0.368802i | 0.992924 | − | 0.118752i | \(-0.0378893\pi\) |
−0.873093 | + | 0.487554i | \(0.837889\pi\) | |||||||
\(258\) | −1.43538 | + | 1.47449i | −0.0893629 | + | 0.0917978i | ||||
\(259\) | 6.97659 | + | 9.60245i | 0.433504 | + | 0.596667i | ||||
\(260\) | −2.02549 | − | 14.1451i | −0.125616 | − | 0.877241i | ||||
\(261\) | 0.590906 | + | 21.9780i | 0.0365762 | + | 1.36041i | ||||
\(262\) | 6.55072 | − | 9.01629i | 0.404705 | − | 0.557028i | ||||
\(263\) | − | 24.0702i | − | 1.48423i | −0.670272 | − | 0.742116i | \(-0.733822\pi\) | ||
0.670272 | − | 0.742116i | \(-0.266178\pi\) | |||||||
\(264\) | 13.6220 | + | 3.86913i | 0.838378 | + | 0.238128i | ||||
\(265\) | −15.2796 | − | 2.65325i | −0.938620 | − | 0.162988i | ||||
\(266\) | 0.306719 | + | 0.222844i | 0.0188061 | + | 0.0136634i | ||||
\(267\) | −3.93136 | + | 27.1811i | −0.240595 | + | 1.66345i | ||||
\(268\) | −1.29107 | + | 0.419494i | −0.0788647 | + | 0.0256247i | ||||
\(269\) | −14.8417 | − | 20.4278i | −0.904912 | − | 1.24550i | −0.968875 | − | 0.247552i | \(-0.920374\pi\) |
0.0639625 | − | 0.997952i | \(-0.479626\pi\) | |||||||
\(270\) | −4.63262 | + | 6.73023i | −0.281932 | + | 0.409589i | ||||
\(271\) | 21.3742 | − | 6.94489i | 1.29839 | − | 0.421872i | 0.423368 | − | 0.905958i | \(-0.360848\pi\) |
0.875020 | + | 0.484086i | \(0.160848\pi\) | |||||||
\(272\) | −5.19446 | − | 1.68778i | −0.314960 | − | 0.102337i | ||||
\(273\) | −6.47080 | + | 13.1331i | −0.391630 | + | 0.794849i | ||||
\(274\) | − | 8.91530i | − | 0.538593i | ||||||
\(275\) | −7.61314 | + | 14.7323i | −0.459090 | + | 0.888390i | ||||
\(276\) | −1.90652 | − | 11.0721i | −0.114759 | − | 0.666461i | ||||
\(277\) | 7.91369 | + | 5.74963i | 0.475488 | + | 0.345462i | 0.799576 | − | 0.600565i | \(-0.205058\pi\) |
−0.324088 | + | 0.946027i | \(0.605058\pi\) | |||||||
\(278\) | 3.31298 | − | 10.1963i | 0.198699 | − | 0.611533i | ||||
\(279\) | −11.8504 | − | 15.4214i | −0.709467 | − | 0.923257i | ||||
\(280\) | 4.83749 | + | 9.85320i | 0.289096 | + | 0.588842i | ||||
\(281\) | 11.0817 | − | 8.05131i | 0.661078 | − | 0.480301i | −0.205949 | − | 0.978563i | \(-0.566028\pi\) |
0.867027 | + | 0.498262i | \(0.166028\pi\) | |||||||
\(282\) | −0.132847 | − | 0.252287i | −0.00791095 | − | 0.0150235i | ||||
\(283\) | 9.22512 | − | 28.3920i | 0.548376 | − | 1.68773i | −0.164448 | − | 0.986386i | \(-0.552584\pi\) |
0.712824 | − | 0.701343i | \(-0.247416\pi\) | |||||||
\(284\) | 0.465420 | − | 0.640595i | 0.0276176 | − | 0.0380123i | ||||
\(285\) | 1.04856 | + | 0.00148105i | 0.0621113 | + | 8.77296e-5i | ||||
\(286\) | −8.71049 | + | 4.70455i | −0.515062 | + | 0.278186i | ||||
\(287\) | −19.0174 | −1.12256 | ||||||||
\(288\) | 4.95446 | − | 16.7691i | 0.291944 | − | 0.988126i | ||||
\(289\) | −0.394774 | + | 1.21499i | −0.0232220 | + | 0.0714700i | ||||
\(290\) | −11.4073 | + | 1.63346i | −0.669861 | + | 0.0959202i | ||||
\(291\) | 3.98932 | − | 4.09802i | 0.233858 | − | 0.240230i | ||||
\(292\) | −12.5483 | + | 9.11684i | −0.734331 | + | 0.533523i | ||||
\(293\) | −23.2050 | + | 7.53977i | −1.35565 | + | 0.440478i | −0.894589 | − | 0.446889i | \(-0.852532\pi\) |
−0.461063 | + | 0.887367i | \(0.652532\pi\) | |||||||
\(294\) | −0.529055 | + | 3.65784i | −0.0308551 | + | 0.213329i | ||||
\(295\) | 16.9309 | − | 16.4353i | 0.985753 | − | 0.956897i | ||||
\(296\) | 14.6928 | 0.854001 | ||||||||
\(297\) | −16.6985 | − | 4.26145i | −0.968945 | − | 0.247275i | ||||
\(298\) | 6.13886i | 0.355615i | ||||||||
\(299\) | 14.7957 | + | 10.7497i | 0.855660 | + | 0.621673i | ||||
\(300\) | 11.5192 | + | 6.10730i | 0.665059 | + | 0.352605i | ||||
\(301\) | −1.03966 | − | 3.19974i | −0.0599249 | − | 0.184430i | ||||
\(302\) | 10.7632 | − | 7.81992i | 0.619353 | − | 0.449986i | ||||
\(303\) | −2.12148 | − | 2.06521i | −0.121876 | − | 0.118643i | ||||
\(304\) | −0.328949 | + | 0.106882i | −0.0188665 | + | 0.00613011i | ||||
\(305\) | 19.1061 | + | 10.0952i | 1.09401 | + | 0.578051i | ||||
\(306\) | −8.64946 | − | 2.55550i | −0.494457 | − | 0.146088i | ||||
\(307\) | −7.28242 | −0.415630 | −0.207815 | − | 0.978168i | \(-0.566635\pi\) | ||||
−0.207815 | + | 0.978168i | \(0.566635\pi\) | |||||||
\(308\) | −6.86041 | + | 7.19749i | −0.390908 | + | 0.410115i | ||||
\(309\) | 10.1211 | − | 1.74277i | 0.575768 | − | 0.0991425i | ||||
\(310\) | 7.31439 | − | 7.10028i | 0.415429 | − | 0.403269i | ||||
\(311\) | −2.25383 | − | 0.732315i | −0.127803 | − | 0.0415258i | 0.244417 | − | 0.969670i | \(-0.421403\pi\) |
−0.372220 | + | 0.928144i | \(0.621403\pi\) | |||||||
\(312\) | 8.44413 | + | 16.0360i | 0.478055 | + | 0.907862i | ||||
\(313\) | −8.58863 | − | 11.8212i | −0.485458 | − | 0.668175i | 0.494084 | − | 0.869414i | \(-0.335503\pi\) |
−0.979542 | + | 0.201239i | \(0.935503\pi\) | |||||||
\(314\) | −8.13109 | + | 5.90758i | −0.458864 | + | 0.333384i | ||||
\(315\) | −6.20736 | − | 11.8287i | −0.349745 | − | 0.666474i | ||||
\(316\) | 0.322945 | + | 0.104931i | 0.0181671 | + | 0.00590284i | ||||
\(317\) | 20.0536 | + | 14.5698i | 1.12632 | + | 0.818319i | 0.985155 | − | 0.171667i | \(-0.0549152\pi\) |
0.141165 | + | 0.989986i | \(0.454915\pi\) | |||||||
\(318\) | 8.32485 | − | 1.43347i | 0.466834 | − | 0.0803850i | ||||
\(319\) | −11.5508 | − | 21.3864i | −0.646723 | − | 1.19741i | ||||
\(320\) | 3.40067 | + | 0.590514i | 0.190103 | + | 0.0330107i | ||||
\(321\) | 4.91649 | + | 2.42241i | 0.274412 | + | 0.135206i | ||||
\(322\) | −5.73817 | − | 1.86444i | −0.319776 | − | 0.103901i | ||||
\(323\) | 0.357675 | + | 1.10081i | 0.0199016 | + | 0.0612507i | ||||
\(324\) | −3.48855 | + | 13.0927i | −0.193808 | + | 0.727374i | ||||
\(325\) | −20.3706 | + | 5.95603i | −1.12996 | + | 0.330381i | ||||
\(326\) | −4.90077 | − | 15.0830i | −0.271429 | − | 0.835372i | ||||
\(327\) | 0.893459 | − | 6.17730i | 0.0494084 | − | 0.341605i | ||||
\(328\) | −13.8372 | + | 19.0453i | −0.764033 | + | 1.05160i | ||||
\(329\) | 0.466174 | 0.0257010 | ||||||||
\(330\) | 1.21143 | − | 8.95123i | 0.0666868 | − | 0.492749i | ||||
\(331\) | 10.2699 | 0.564483 | 0.282242 | − | 0.959343i | \(-0.408922\pi\) | ||||
0.282242 | + | 0.959343i | \(0.408922\pi\) | |||||||
\(332\) | −1.77948 | + | 2.44925i | −0.0976619 | + | 0.134420i | ||||
\(333\) | −17.8746 | + | 0.480580i | −0.979521 | + | 0.0263356i | ||||
\(334\) | −1.16548 | − | 3.58696i | −0.0637720 | − | 0.196270i | ||||
\(335\) | 0.888582 | + | 1.80990i | 0.0485484 | + | 0.0988854i | ||||
\(336\) | 3.15742 | + | 3.07367i | 0.172251 | + | 0.167683i | ||||
\(337\) | −2.70961 | − | 8.33932i | −0.147602 | − | 0.454272i | 0.849735 | − | 0.527211i | \(-0.176762\pi\) |
−0.997336 | + | 0.0729391i | \(0.976762\pi\) | |||||||
\(338\) | −3.35562 | − | 1.09031i | −0.182522 | − | 0.0593049i | ||||
\(339\) | 5.88601 | − | 11.9462i | 0.319684 | − | 0.648827i | ||||
\(340\) | −2.46229 | + | 14.1799i | −0.133537 | + | 0.769015i | ||||
\(341\) | 19.3864 | + | 9.29939i | 1.04983 | + | 0.503590i | ||||
\(342\) | −0.538257 | + | 0.191031i | −0.0291056 | + | 0.0103298i | ||||
\(343\) | −16.1660 | − | 11.7453i | −0.872883 | − | 0.634187i | ||||
\(344\) | −3.96090 | − | 1.28697i | −0.213558 | − | 0.0693890i | ||||
\(345\) | −15.8775 | + | 5.13414i | −0.854817 | + | 0.276413i | ||||
\(346\) | −9.27557 | + | 6.73910i | −0.498658 | + | 0.362296i | ||||
\(347\) | 9.19468 | + | 12.6554i | 0.493596 | + | 0.679377i | 0.981046 | − | 0.193774i | \(-0.0620729\pi\) |
−0.487450 | + | 0.873151i | \(0.662073\pi\) | |||||||
\(348\) | −16.9092 | + | 8.90393i | −0.906429 | + | 0.477301i | ||||
\(349\) | −28.9739 | − | 9.41418i | −1.55094 | − | 0.503929i | −0.596567 | − | 0.802563i | \(-0.703469\pi\) |
−0.954368 | + | 0.298633i | \(0.903469\pi\) | |||||||
\(350\) | 5.78424 | − | 3.94546i | 0.309181 | − | 0.210893i | ||||
\(351\) | −10.7973 | − | 19.2325i | −0.576316 | − | 1.02656i | ||||
\(352\) | 3.48086 | + | 19.0151i | 0.185531 | + | 1.01351i | ||||
\(353\) | −18.4443 | −0.981692 | −0.490846 | − | 0.871246i | \(-0.663312\pi\) | ||||
−0.490846 | + | 0.871246i | \(0.663312\pi\) | |||||||
\(354\) | −5.68059 | + | 11.5293i | −0.301920 | + | 0.612774i | ||||
\(355\) | −1.03983 | − | 0.549424i | −0.0551886 | − | 0.0291604i | ||||
\(356\) | −22.7033 | + | 7.37676i | −1.20327 | + | 0.390967i | ||||
\(357\) | 10.2859 | − | 10.5661i | 0.544386 | − | 0.559219i | ||||
\(358\) | −0.152584 | + | 0.110859i | −0.00806432 | + | 0.00585907i | ||||
\(359\) | −5.34445 | − | 16.4485i | −0.282069 | − | 0.868120i | −0.987262 | − | 0.159104i | \(-0.949139\pi\) |
0.705192 | − | 0.709016i | \(-0.250861\pi\) | |||||||
\(360\) | −16.3627 | − | 2.39023i | −0.862388 | − | 0.125976i | ||||
\(361\) | −15.3120 | − | 11.1248i | −0.805896 | − | 0.585518i | ||||
\(362\) | − | 0.150359i | − | 0.00790271i | ||||||
\(363\) | 18.5997 | − | 4.12930i | 0.976231 | − | 0.216732i | ||||
\(364\) | −12.7257 | −0.667007 | ||||||||
\(365\) | 16.0460 | + | 16.5299i | 0.839887 | + | 0.865214i | ||||
\(366\) | −11.6493 | − | 1.68491i | −0.608918 | − | 0.0880714i | ||||
\(367\) | −2.16652 | + | 0.703945i | −0.113091 | + | 0.0367456i | −0.365016 | − | 0.931001i | \(-0.618937\pi\) |
0.251925 | + | 0.967747i | \(0.418937\pi\) | |||||||
\(368\) | 4.45313 | − | 3.23539i | 0.232135 | − | 0.168656i | ||||
\(369\) | 16.2108 | − | 23.6223i | 0.843901 | − | 1.22973i | ||||
\(370\) | −1.32848 | − | 9.27751i | −0.0690646 | − | 0.482315i | ||||
\(371\) | −4.26789 | + | 13.1352i | −0.221578 | + | 0.681947i | ||||
\(372\) | 7.47154 | − | 15.1642i | 0.387381 | − | 0.786225i | ||||
\(373\) | 29.7264 | 1.53917 | 0.769587 | − | 0.638542i | \(-0.220462\pi\) | ||||
0.769587 | + | 0.638542i | \(0.220462\pi\) | |||||||
\(374\) | 9.80798 | − | 1.79542i | 0.507159 | − | 0.0928392i | ||||
\(375\) | 6.55419 | − | 18.2220i | 0.338457 | − | 0.940982i | ||||
\(376\) | 0.339192 | − | 0.466858i | 0.0174925 | − | 0.0240764i | ||||
\(377\) | 9.61288 | − | 29.5854i | 0.495089 | − | 1.52373i | ||||
\(378\) | 5.34841 | + | 4.93362i | 0.275092 | + | 0.253758i | ||||
\(379\) | 16.8851 | − | 12.2677i | 0.867328 | − | 0.630151i | −0.0625406 | − | 0.998042i | \(-0.519920\pi\) |
0.929869 | + | 0.367892i | \(0.119920\pi\) | |||||||
\(380\) | 0.401665 | + | 0.818128i | 0.0206050 | + | 0.0419691i | ||||
\(381\) | −15.4194 | + | 8.11942i | −0.789959 | + | 0.415970i | ||||
\(382\) | −0.865899 | + | 2.66496i | −0.0443032 | + | 0.136351i | ||||
\(383\) | −6.84780 | − | 4.97522i | −0.349906 | − | 0.254222i | 0.398924 | − | 0.916984i | \(-0.369384\pi\) |
−0.748830 | + | 0.662763i | \(0.769384\pi\) | |||||||
\(384\) | 18.0451 | − | 3.10721i | 0.920858 | − | 0.158564i | ||||
\(385\) | 12.0266 | + | 8.57132i | 0.612931 | + | 0.436835i | ||||
\(386\) | 11.3891i | 0.579689i | ||||||||
\(387\) | 4.86075 | + | 1.43612i | 0.247086 | + | 0.0730021i | ||||
\(388\) | 4.72778 | + | 1.53615i | 0.240017 | + | 0.0779861i | ||||
\(389\) | −25.0694 | + | 8.14555i | −1.27107 | + | 0.412996i | −0.865427 | − | 0.501036i | \(-0.832952\pi\) |
−0.405643 | + | 0.914031i | \(0.632952\pi\) | |||||||
\(390\) | 9.36219 | − | 6.78184i | 0.474073 | − | 0.343412i | ||||
\(391\) | −10.8270 | − | 14.9021i | −0.547547 | − | 0.753633i | ||||
\(392\) | −7.11404 | + | 2.31149i | −0.359313 | + | 0.116748i | ||||
\(393\) | −27.1677 | − | 3.92942i | −1.37043 | − | 0.198213i | ||||
\(394\) | 3.24032 | + | 2.35423i | 0.163245 | + | 0.118605i | ||||
\(395\) | 0.0862861 | − | 0.496907i | 0.00434153 | − | 0.0250021i | ||||
\(396\) | −3.09234 | − | 14.6569i | −0.155396 | − | 0.736537i | ||||
\(397\) | 19.7388i | 0.990662i | 0.868704 | + | 0.495331i | \(0.164953\pi\) | ||||
−0.868704 | + | 0.495331i | \(0.835047\pi\) | |||||||
\(398\) | −5.05761 | + | 6.96121i | −0.253515 | + | 0.348934i | ||||
\(399\) | 0.133672 | − | 0.924198i | 0.00669198 | − | 0.0462678i | ||||
\(400\) | −0.189717 | + | 6.38489i | −0.00948585 | + | 0.319245i | ||||
\(401\) | −20.7738 | − | 28.5926i | −1.03739 | − | 1.42785i | −0.899249 | − | 0.437436i | \(-0.855887\pi\) |
−0.138143 | − | 0.990412i | \(-0.544113\pi\) | |||||||
\(402\) | −0.786953 | − | 0.766079i | −0.0392497 | − | 0.0382086i | ||||
\(403\) | 8.50354 | + | 26.1712i | 0.423591 | + | 1.30368i | ||||
\(404\) | 0.795240 | − | 2.44750i | 0.0395647 | − | 0.121768i | ||||
\(405\) | 19.9843 | + | 2.37264i | 0.993026 | + | 0.117898i | ||||
\(406\) | 10.2626i | 0.509326i | ||||||||
\(407\) | 17.3934 | − | 9.39423i | 0.862161 | − | 0.465655i | ||||
\(408\) | −3.09755 | − | 17.9890i | −0.153352 | − | 0.890588i | ||||
\(409\) | 3.86369 | − | 5.31791i | 0.191047 | − | 0.262954i | −0.702739 | − | 0.711448i | \(-0.748040\pi\) |
0.893786 | + | 0.448495i | \(0.148040\pi\) | |||||||
\(410\) | 13.2770 | + | 7.01525i | 0.655703 | + | 0.346459i | ||||
\(411\) | −19.4299 | + | 10.2313i | −0.958408 | + | 0.504671i | ||||
\(412\) | 5.24700 | + | 7.22188i | 0.258501 | + | 0.355796i | ||||
\(413\) | −12.3516 | − | 17.0006i | −0.607785 | − | 0.836544i | ||||
\(414\) | 7.20724 | − | 5.53833i | 0.354216 | − | 0.272194i | ||||
\(415\) | 3.97569 | + | 2.10067i | 0.195159 | + | 0.103118i | ||||
\(416\) | −14.5421 | + | 20.0154i | −0.712983 | + | 0.981337i | ||||
\(417\) | −26.0238 | + | 4.48107i | −1.27439 | + | 0.219439i | ||||
\(418\) | 0.435658 | − | 0.457064i | 0.0213087 | − | 0.0223557i | ||||
\(419\) | 1.69814i | 0.0829594i | 0.999139 | + | 0.0414797i | \(0.0132072\pi\) | ||||
−0.999139 | + | 0.0414797i | \(0.986793\pi\) | |||||||
\(420\) | 6.83819 | − | 9.38407i | 0.333670 | − | 0.457896i | ||||
\(421\) | 5.97401 | − | 18.3861i | 0.291155 | − | 0.896084i | −0.693330 | − | 0.720620i | \(-0.743857\pi\) |
0.984486 | − | 0.175464i | \(-0.0561427\pi\) | |||||||
\(422\) | −0.798503 | − | 2.45754i | −0.0388705 | − | 0.119631i | ||||
\(423\) | −0.397376 | + | 0.579054i | −0.0193211 | + | 0.0281546i | ||||
\(424\) | 10.0492 | + | 13.8315i | 0.488030 | + | 0.671716i | ||||
\(425\) | 21.3667 | + | 0.634877i | 1.03644 | + | 0.0307960i | ||||
\(426\) | 0.634003 | + | 0.0916996i | 0.0307176 | + | 0.00444286i | ||||
\(427\) | 11.3116 | − | 15.5691i | 0.547407 | − | 0.753440i | ||||
\(428\) | 4.76399i | 0.230276i | ||||||||
\(429\) | 20.2493 | + | 13.5846i | 0.977646 | + | 0.655871i | ||||
\(430\) | −0.454504 | + | 2.61741i | −0.0219181 | + | 0.126223i | ||||
\(431\) | 14.8290 | + | 10.7739i | 0.714287 | + | 0.518960i | 0.884554 | − | 0.466438i | \(-0.154463\pi\) |
−0.170267 | + | 0.985398i | \(0.554463\pi\) | |||||||
\(432\) | −6.50939 | + | 1.30190i | −0.313183 | + | 0.0626378i | ||||
\(433\) | −6.21706 | + | 2.02005i | −0.298773 | + | 0.0970772i | −0.454568 | − | 0.890712i | \(-0.650206\pi\) |
0.155795 | + | 0.987789i | \(0.450206\pi\) | |||||||
\(434\) | −5.33610 | − | 7.34451i | −0.256141 | − | 0.352548i | ||||
\(435\) | 16.6511 | + | 22.9865i | 0.798359 | + | 1.10212i | ||||
\(436\) | 5.15967 | − | 1.67648i | 0.247103 | − | 0.0802887i | ||||
\(437\) | −1.10939 | − | 0.360464i | −0.0530695 | − | 0.0172433i | ||||
\(438\) | −11.2562 | − | 5.54606i | −0.537843 | − | 0.265001i | ||||
\(439\) | − | 6.71248i | − | 0.320369i | −0.987087 | − | 0.160185i | \(-0.948791\pi\) | ||
0.987087 | − | 0.160185i | \(-0.0512090\pi\) | |||||||
\(440\) | 17.3346 | − | 5.80766i | 0.826393 | − | 0.276870i | ||||
\(441\) | 8.57902 | − | 3.04475i | 0.408525 | − | 0.144988i | ||||
\(442\) | 10.3239 | + | 7.50078i | 0.491059 | + | 0.356776i | ||||
\(443\) | −4.76834 | + | 14.6754i | −0.226551 | + | 0.697252i | 0.771580 | + | 0.636133i | \(0.219467\pi\) |
−0.998130 | + | 0.0611190i | \(0.980533\pi\) | |||||||
\(444\) | −7.24151 | − | 13.7522i | −0.343667 | − | 0.652649i | ||||
\(445\) | 15.6256 | + | 31.8269i | 0.740725 | + | 1.50874i | ||||
\(446\) | 8.98775 | − | 6.52999i | 0.425582 | − | 0.309204i | ||||
\(447\) | 13.3790 | − | 7.04501i | 0.632805 | − | 0.333217i | ||||
\(448\) | 0.949872 | − | 2.92341i | 0.0448772 | − | 0.138118i | ||||
\(449\) | −4.40619 | + | 6.06460i | −0.207941 | + | 0.286206i | −0.900231 | − | 0.435414i | \(-0.856602\pi\) |
0.692289 | + | 0.721620i | \(0.256602\pi\) | |||||||
\(450\) | −0.0297974 | + | 10.5480i | −0.00140466 | + | 0.497239i | ||||
\(451\) | −4.20349 | + | 31.3932i | −0.197935 | + | 1.47825i | ||||
\(452\) | 11.5756 | 0.544471 | ||||||||
\(453\) | −29.3946 | − | 14.4830i | −1.38108 | − | 0.680473i | ||||
\(454\) | −0.303422 | + | 0.933836i | −0.0142403 | + | 0.0438271i | ||||
\(455\) | 2.67918 | + | 18.7101i | 0.125602 | + | 0.877145i | ||||
\(456\) | −0.828294 | − | 0.806324i | −0.0387884 | − | 0.0377596i | ||||
\(457\) | 29.4978 | − | 21.4314i | 1.37985 | − | 1.00252i | 0.382954 | − | 0.923767i | \(-0.374907\pi\) |
0.996894 | − | 0.0787515i | \(-0.0250934\pi\) | |||||||
\(458\) | −7.04425 | + | 2.28882i | −0.329156 | + | 0.106949i | ||||
\(459\) | 4.35674 | + | 21.7833i | 0.203355 | + | 1.01676i | ||||
\(460\) | −10.1027 | − | 10.4073i | −0.471040 | − | 0.485244i | ||||
\(461\) | 9.37436 | 0.436607 | 0.218304 | − | 0.975881i | \(-0.429948\pi\) | ||||
0.218304 | + | 0.975881i | \(0.429948\pi\) | |||||||
\(462\) | −7.73827 | − | 2.19794i | −0.360017 | − | 0.102257i | ||||
\(463\) | − | 0.0632711i | − | 0.00294046i | −0.999999 | − | 0.00147023i | \(-0.999532\pi\) | ||
0.999999 | − | 0.00147023i | \(-0.000467989\pi\) | |||||||
\(464\) | −7.57456 | − | 5.50324i | −0.351640 | − | 0.255481i | ||||
\(465\) | −23.8684 | − | 7.79259i | −1.10687 | − | 0.361373i | ||||
\(466\) | −3.40141 | − | 10.4685i | −0.157567 | − | 0.484943i | ||||
\(467\) | −22.5665 | + | 16.3955i | −1.04425 | + | 0.758694i | −0.971111 | − | 0.238627i | \(-0.923303\pi\) |
−0.0731419 | + | 0.997322i | \(0.523303\pi\) | |||||||
\(468\) | 10.8476 | − | 15.8071i | 0.501432 | − | 0.730683i | ||||
\(469\) | 1.70774 | − | 0.554877i | 0.0788560 | − | 0.0256219i | ||||
\(470\) | −0.325459 | − | 0.171965i | −0.0150123 | − | 0.00793216i | ||||
\(471\) | 22.2062 | + | 10.9413i | 1.02321 | + | 0.504146i | ||||
\(472\) | −26.0127 | −1.19733 | ||||||||
\(473\) | −5.51181 | + | 1.00898i | −0.253433 | + | 0.0463929i | ||||
\(474\) | 0.0466177 | + | 0.270732i | 0.00214122 | + | 0.0124351i | ||||
\(475\) | 1.11830 | − | 0.762799i | 0.0513113 | − | 0.0349996i | ||||
\(476\) | 12.1899 | + | 3.96073i | 0.558722 | + | 0.181540i | ||||
\(477\) | −12.6778 | − | 16.4981i | −0.580475 | − | 0.755395i | ||||
\(478\) | −7.59295 | − | 10.4508i | −0.347294 | − | 0.478009i | ||||
\(479\) | 7.89453 | − | 5.73571i | 0.360710 | − | 0.262071i | −0.392638 | − | 0.919693i | \(-0.628437\pi\) |
0.753348 | + | 0.657622i | \(0.228437\pi\) | |||||||
\(480\) | −6.94538 | − | 21.4789i | −0.317012 | − | 0.980372i | ||||
\(481\) | 24.0616 | + | 7.81809i | 1.09712 | + | 0.356474i | ||||
\(482\) | −0.997876 | − | 0.724999i | −0.0454520 | − | 0.0330228i | ||||
\(483\) | 2.52181 | + | 14.6454i | 0.114746 | + | 0.666388i | ||||
\(484\) | 10.3650 | + | 12.9158i | 0.471135 | + | 0.587083i | ||||
\(485\) | 1.26319 | − | 7.27451i | 0.0573586 | − | 0.330318i | ||||
\(486\) | −10.6873 | + | 2.43796i | −0.484788 | + | 0.110588i | ||||
\(487\) | 11.8791 | + | 3.85975i | 0.538293 | + | 0.174902i | 0.565531 | − | 0.824727i | \(-0.308671\pi\) |
−0.0272380 | + | 0.999629i | \(0.508671\pi\) | |||||||
\(488\) | −7.36152 | − | 22.6564i | −0.333240 | − | 1.02561i | ||||
\(489\) | −27.2477 | + | 27.9901i | −1.23218 | + | 1.26576i | ||||
\(490\) | 2.10279 | + | 4.28304i | 0.0949942 | + | 0.193488i | ||||
\(491\) | −6.27879 | − | 19.3241i | −0.283358 | − | 0.872086i | −0.986886 | − | 0.161419i | \(-0.948393\pi\) |
0.703528 | − | 0.710667i | \(-0.251607\pi\) | |||||||
\(492\) | 24.6459 | + | 3.56468i | 1.11112 | + | 0.160708i | ||||
\(493\) | −18.4163 | + | 25.3478i | −0.829427 | + | 1.14161i | ||||
\(494\) | 0.808121 | 0.0363591 | ||||||||
\(495\) | −20.8985 | + | 7.63234i | −0.939318 | + | 0.343048i | ||||
\(496\) | 8.28220 | 0.371882 | ||||||||
\(497\) | −0.615625 | + | 0.847335i | −0.0276145 | + | 0.0380082i | ||||
\(498\) | −2.42405 | − | 0.350604i | −0.108624 | − | 0.0157109i | ||||
\(499\) | 12.5106 | + | 38.5036i | 0.560050 | + | 1.72366i | 0.682220 | + | 0.731147i | \(0.261015\pi\) |
−0.122170 | + | 0.992509i | \(0.538985\pi\) | |||||||
\(500\) | 16.7256 | − | 1.88999i | 0.747991 | − | 0.0845229i | ||||
\(501\) | −6.47990 | + | 6.65646i | −0.289500 | + | 0.297389i | ||||
\(502\) | 2.43449 | + | 7.49258i | 0.108656 | + | 0.334410i | ||||
\(503\) | 18.9478 | + | 6.15652i | 0.844841 | + | 0.274505i | 0.699284 | − | 0.714844i | \(-0.253502\pi\) |
0.145557 | + | 0.989350i | \(0.453502\pi\) | |||||||
\(504\) | −4.17273 | + | 14.1232i | −0.185868 | + | 0.629097i | ||||
\(505\) | −3.76590 | − | 0.653935i | −0.167580 | − | 0.0290997i | ||||
\(506\) | −4.34609 | + | 9.06026i | −0.193207 | + | 0.402777i | ||||
\(507\) | 1.47473 | + | 8.56446i | 0.0654950 | + | 0.380361i | ||||
\(508\) | −12.2543 | − | 8.90326i | −0.543696 | − | 0.395018i | ||||
\(509\) | −24.3487 | − | 7.91139i | −1.07924 | − | 0.350666i | −0.285160 | − | 0.958480i | \(-0.592047\pi\) |
−0.794079 | + | 0.607814i | \(0.792047\pi\) | |||||||
\(510\) | −11.0788 | + | 3.58242i | −0.490576 | + | 0.158632i | ||||
\(511\) | 16.5980 | − | 12.0591i | 0.734251 | − | 0.533464i | ||||
\(512\) | 8.07895 | + | 11.1197i | 0.357042 | + | 0.491427i | ||||
\(513\) | 1.03404 | + | 0.953846i | 0.0456540 | + | 0.0421133i | ||||
\(514\) | −4.15760 | − | 1.35088i | −0.183384 | − | 0.0595850i | ||||
\(515\) | 9.51341 | − | 9.23494i | 0.419211 | − | 0.406940i | ||||
\(516\) | 0.747592 | + | 4.34163i | 0.0329109 | + | 0.191130i | ||||
\(517\) | 0.103040 | − | 0.769543i | 0.00453171 | − | 0.0338445i | ||||
\(518\) | −8.34654 | −0.366726 | ||||||||
\(519\) | 25.3319 | + | 12.4813i | 1.11195 | + | 0.547867i | ||||
\(520\) | 20.6870 | + | 10.9306i | 0.907186 | + | 0.479337i | ||||
\(521\) | −2.77739 | + | 0.902428i | −0.121680 | + | 0.0395361i | −0.369224 | − | 0.929341i | \(-0.620376\pi\) |
0.247544 | + | 0.968877i | \(0.420376\pi\) | |||||||
\(522\) | −12.7477 | − | 8.74809i | −0.557950 | − | 0.382893i | ||||
\(523\) | 18.1007 | − | 13.1509i | 0.791488 | − | 0.575050i | −0.116917 | − | 0.993142i | \(-0.537301\pi\) |
0.908405 | + | 0.418092i | \(0.137301\pi\) | |||||||
\(524\) | −7.37313 | − | 22.6922i | −0.322097 | − | 0.991312i | ||||
\(525\) | −15.2367 | − | 8.07831i | −0.664986 | − | 0.352566i | ||||
\(526\) | 13.6937 | + | 9.94902i | 0.597072 | + | 0.433798i | ||||
\(527\) | − | 27.7159i | − | 1.20732i | ||||||
\(528\) | 5.77180 | − | 4.53277i | 0.251186 | − | 0.197264i | ||||
\(529\) | −4.43631 | −0.192883 | ||||||||
\(530\) | 7.82503 | − | 7.59598i | 0.339898 | − | 0.329948i | ||||
\(531\) | 31.6459 | − | 0.850840i | 1.37332 | − | 0.0369233i | ||||
\(532\) | 0.771948 | − | 0.250821i | 0.0334682 | − | 0.0108745i | ||||
\(533\) | −32.7946 | + | 23.8267i | −1.42049 | + | 1.03205i | ||||
\(534\) | −13.8385 | − | 13.4714i | −0.598850 | − | 0.582965i | ||||
\(535\) | 7.00433 | − | 1.00298i | 0.302824 | − | 0.0433626i | ||||
\(536\) | 0.686874 | − | 2.11398i | 0.0296684 | − | 0.0913100i | ||||
\(537\) | 0.416712 | + | 0.205318i | 0.0179824 | + | 0.00886014i | ||||
\(538\) | 17.7560 | 0.765517 | ||||||||
\(539\) | −6.94374 | + | 7.28492i | −0.299088 | + | 0.313784i | ||||
\(540\) | 5.82732 | + | 16.4932i | 0.250768 | + | 0.709753i | ||||
\(541\) | −11.8895 | + | 16.3644i | −0.511168 | + | 0.703562i | −0.984116 | − | 0.177528i | \(-0.943190\pi\) |
0.472948 | + | 0.881090i | \(0.343190\pi\) | |||||||
\(542\) | −4.88368 | + | 15.0304i | −0.209772 | + | 0.645612i | ||||
\(543\) | −0.327692 | + | 0.172554i | −0.0140626 | + | 0.00740499i | ||||
\(544\) | 20.1594 | − | 14.6466i | 0.864325 | − | 0.627969i | ||||
\(545\) | −3.55115 | − | 7.23313i | −0.152115 | − | 0.309833i | ||||
\(546\) | −4.79686 | − | 9.10960i | −0.205287 | − | 0.389855i | ||||
\(547\) | −6.37562 | + | 19.6221i | −0.272602 | + | 0.838982i | 0.717242 | + | 0.696824i | \(0.245404\pi\) |
−0.989844 | + | 0.142158i | \(0.954596\pi\) | |||||||
\(548\) | −15.4416 | − | 11.2190i | −0.659633 | − | 0.479251i | ||||
\(549\) | 9.69675 | + | 27.3220i | 0.413847 | + | 1.16607i | ||||
\(550\) | −5.23450 | − | 10.4205i | −0.223200 | − | 0.444332i | ||||
\(551\) | 1.98414i | 0.0845271i | ||||||||
\(552\) | 16.5018 | + | 8.13060i | 0.702363 | + | 0.346061i | ||||
\(553\) | −0.427169 | − | 0.138796i | −0.0181651 | − | 0.00590220i | ||||
\(554\) | −6.54199 | + | 2.12562i | −0.277943 | + | 0.0903090i | ||||
\(555\) | −18.6948 | + | 13.5422i | −0.793549 | + | 0.574836i | ||||
\(556\) | −13.4913 | − | 18.5692i | −0.572159 | − | 0.787510i | ||||
\(557\) | 9.96646 | − | 3.23830i | 0.422292 | − | 0.137211i | −0.0901589 | − | 0.995927i | \(-0.528737\pi\) |
0.512451 | + | 0.858716i | \(0.328737\pi\) | |||||||
\(558\) | 13.6715 | − | 0.367576i | 0.578762 | − | 0.0155607i | ||||
\(559\) | −5.80176 | − | 4.21523i | −0.245388 | − | 0.178285i | ||||
\(560\) | 5.60482 | + | 0.973257i | 0.236847 | + | 0.0411276i | ||||
\(561\) | −15.1687 | − | 19.3150i | −0.640421 | − | 0.815481i | ||||
\(562\) | 9.63230i | 0.406314i | ||||||||
\(563\) | 21.2655 | − | 29.2694i | 0.896232 | − | 1.23356i | −0.0754225 | − | 0.997152i | \(-0.524031\pi\) |
0.971654 | − | 0.236406i | \(-0.0759695\pi\) | |||||||
\(564\) | −0.604145 | − | 0.0873811i | −0.0254391 | − | 0.00367941i | ||||
\(565\) | −2.43706 | − | 17.0192i | −0.102528 | − | 0.716005i | ||||
\(566\) | 12.3393 | + | 16.9836i | 0.518659 | + | 0.713873i | ||||
\(567\) | 4.61441 | − | 17.3181i | 0.193787 | − | 0.727294i | ||||
\(568\) | 0.400645 | + | 1.23306i | 0.0168107 | + | 0.0517379i | ||||
\(569\) | −0.102235 | + | 0.314646i | −0.00428590 | + | 0.0131907i | −0.953177 | − | 0.302414i | \(-0.902207\pi\) |
0.948891 | + | 0.315605i | \(0.102207\pi\) | |||||||
\(570\) | −0.434247 | + | 0.595918i | −0.0181886 | + | 0.0249603i | ||||
\(571\) | 23.8700i | 0.998927i | 0.866335 | + | 0.499463i | \(0.166469\pi\) | ||||
−0.866335 | + | 0.499463i | \(0.833531\pi\) | |||||||
\(572\) | −2.81281 | + | 21.0071i | −0.117610 | + | 0.878351i | ||||
\(573\) | 6.80172 | − | 1.17120i | 0.284146 | − | 0.0489275i | ||||
\(574\) | 7.86052 | − | 10.8191i | 0.328092 | − | 0.451580i | ||||
\(575\) | −13.1746 | + | 17.0447i | −0.549418 | + | 0.710814i | ||||
\(576\) | 2.82159 | + | 3.67185i | 0.117566 | + | 0.152994i | ||||
\(577\) | −10.2076 | − | 14.0496i | −0.424950 | − | 0.584893i | 0.541835 | − | 0.840485i | \(-0.317730\pi\) |
−0.966785 | + | 0.255592i | \(0.917730\pi\) | |||||||
\(578\) | −0.528040 | − | 0.726785i | −0.0219636 | − | 0.0302303i | ||||
\(579\) | 24.8213 | − | 13.0702i | 1.03154 | − | 0.543179i | ||||
\(580\) | −11.5257 | + | 21.8135i | −0.478580 | + | 0.905754i | ||||
\(581\) | 2.35378 | − | 3.23970i | 0.0976511 | − | 0.134405i | ||||
\(582\) | 0.682464 | + | 3.96339i | 0.0282890 | + | 0.164288i | ||||
\(583\) | 20.7398 | + | 9.94862i | 0.858955 | + | 0.412030i | ||||
\(584\) | − | 25.3967i | − | 1.05092i | ||||||
\(585\) | −25.5244 | − | 12.6210i | −1.05531 | − | 0.521814i | ||||
\(586\) | 5.30201 | − | 16.3179i | 0.219024 | − | 0.674086i | ||||
\(587\) | 4.29831 | + | 13.2288i | 0.177410 | + | 0.546012i | 0.999735 | − | 0.0230056i | \(-0.00732356\pi\) |
−0.822325 | + | 0.569018i | \(0.807324\pi\) | |||||||
\(588\) | 5.66975 | + | 5.51936i | 0.233816 | + | 0.227614i | ||||
\(589\) | −1.03166 | − | 1.41996i | −0.0425088 | − | 0.0585084i | ||||
\(590\) | 2.35201 | + | 16.4253i | 0.0968305 | + | 0.676219i | ||||
\(591\) | 1.41218 | − | 9.76368i | 0.0580892 | − | 0.401624i | ||||
\(592\) | 4.47575 | − | 6.16034i | 0.183952 | − | 0.253188i | ||||
\(593\) | 21.9317i | 0.900628i | 0.892870 | + | 0.450314i | \(0.148688\pi\) | ||||
−0.892870 | + | 0.450314i | \(0.851312\pi\) | |||||||
\(594\) | 9.32642 | − | 7.73846i | 0.382667 | − | 0.317513i | ||||
\(595\) | 3.25695 | − | 18.7562i | 0.133522 | − | 0.768930i | ||||
\(596\) | 10.6327 | + | 7.72513i | 0.435534 | + | 0.316434i | ||||
\(597\) | 20.9754 | + | 3.03379i | 0.858465 | + | 0.124165i | ||||
\(598\) | −12.2312 | + | 3.97414i | −0.500169 | + | 0.162515i | ||||
\(599\) | 9.26009 | + | 12.7454i | 0.378357 | + | 0.520764i | 0.955148 | − | 0.296128i | \(-0.0956954\pi\) |
−0.576791 | + | 0.816892i | \(0.695695\pi\) | |||||||
\(600\) | −19.1766 | + | 9.38127i | −0.782880 | + | 0.382989i | ||||
\(601\) | −32.7170 | + | 10.6304i | −1.33455 | + | 0.433623i | −0.887469 | − | 0.460868i | \(-0.847538\pi\) |
−0.447086 | + | 0.894491i | \(0.647538\pi\) | |||||||
\(602\) | 2.25007 | + | 0.731093i | 0.0917061 | + | 0.0297971i | ||||
\(603\) | −0.766475 | + | 2.59424i | −0.0312133 | + | 0.105646i | ||||
\(604\) | − | 28.4828i | − | 1.15895i | ||||||
\(605\) | 16.8075 | − | 17.9585i | 0.683323 | − | 0.730116i | ||||
\(606\) | 2.05179 | − | 0.353301i | 0.0833482 | − | 0.0143519i | ||||
\(607\) | −10.7163 | − | 7.78585i | −0.434962 | − | 0.316018i | 0.348668 | − | 0.937246i | \(-0.386634\pi\) |
−0.783630 | + | 0.621228i | \(0.786634\pi\) | |||||||
\(608\) | 0.487630 | − | 1.50077i | 0.0197760 | − | 0.0608643i | ||||
\(609\) | 22.3663 | − | 11.7775i | 0.906330 | − | 0.477248i | ||||
\(610\) | −13.6404 | + | 6.69684i | −0.552284 | + | 0.271147i | ||||
\(611\) | 0.803895 | − | 0.584064i | 0.0325221 | − | 0.0236287i | ||||
\(612\) | −15.3107 | + | 11.7653i | −0.618898 | + | 0.475585i | ||||
\(613\) | 1.14046 | − | 3.50996i | 0.0460626 | − | 0.141766i | −0.925380 | − | 0.379041i | \(-0.876254\pi\) |
0.971443 | + | 0.237275i | \(0.0762541\pi\) | |||||||
\(614\) | 3.01007 | − | 4.14301i | 0.121477 | − | 0.167198i | ||||
\(615\) | 0.0522419 | − | 36.9865i | 0.00210660 | − | 1.49144i | ||||
\(616\) | −2.93165 | − | 16.0149i | −0.118119 | − | 0.645258i | ||||
\(617\) | −4.13390 | −0.166425 | −0.0832123 | − | 0.996532i | \(-0.526518\pi\) | ||||
−0.0832123 | + | 0.996532i | \(0.526518\pi\) | |||||||
\(618\) | −3.19191 | + | 6.47828i | −0.128398 | + | 0.260595i | ||||
\(619\) | −9.56349 | + | 29.4334i | −0.384389 | + | 1.18303i | 0.552533 | + | 0.833491i | \(0.313661\pi\) |
−0.936922 | + | 0.349537i | \(0.886339\pi\) | |||||||
\(620\) | −3.09353 | − | 21.6038i | −0.124239 | − | 0.867628i | ||||
\(621\) | −20.3413 | − | 9.35158i | −0.816267 | − | 0.375266i | ||||
\(622\) | 1.34820 | − | 0.979527i | 0.0540580 | − | 0.0392755i | ||||
\(623\) | 30.0304 | − | 9.75746i | 1.20314 | − | 0.390924i | ||||
\(624\) | 9.29580 | + | 1.34451i | 0.372130 | + | 0.0538233i | ||||
\(625\) | −6.30009 | − | 24.1932i | −0.252003 | − | 0.967726i | ||||
\(626\) | 10.2751 | 0.410677 | ||||||||
\(627\) | −1.49609 | − | 0.424941i | −0.0597480 | − | 0.0169705i | ||||
\(628\) | 21.5174i | 0.858639i | ||||||||
\(629\) | −20.6152 | − | 14.9778i | −0.821983 | − | 0.597205i | ||||
\(630\) | 9.29514 | + | 1.35782i | 0.370327 | + | 0.0540967i | ||||
\(631\) | −6.88264 | − | 21.1826i | −0.273993 | − | 0.843265i | −0.989484 | − | 0.144643i | \(-0.953797\pi\) |
0.715491 | − | 0.698622i | \(-0.246203\pi\) | |||||||
\(632\) | −0.449812 | + | 0.326808i | −0.0178926 | + | 0.0129997i | ||||
\(633\) | −4.43958 | + | 4.56054i | −0.176457 | + | 0.181265i | ||||
\(634\) | −16.5776 | + | 5.38640i | −0.658382 | + | 0.213921i | ||||
\(635\) | −10.5102 | + | 19.8915i | −0.417086 | + | 0.789370i | ||||
\(636\) | 7.99315 | − | 16.2228i | 0.316949 | − | 0.643277i | ||||
\(637\) | −12.8803 | −0.510334 | ||||||||
\(638\) | 16.9412 | + | 2.26839i | 0.670708 | + | 0.0898066i | ||||
\(639\) | −0.527738 | − | 1.48698i | −0.0208770 | − | 0.0588240i | ||||
\(640\) | 16.9616 | − | 16.4651i | 0.670468 | − | 0.650842i | ||||
\(641\) | 24.8632 | + | 8.07855i | 0.982038 | + | 0.319083i | 0.755666 | − | 0.654957i | \(-0.227313\pi\) |
0.226372 | + | 0.974041i | \(0.427313\pi\) | |||||||
\(642\) | −3.41027 | + | 1.79576i | −0.134593 | + | 0.0708728i | ||||
\(643\) | −12.0799 | − | 16.6265i | −0.476385 | − | 0.655687i | 0.501421 | − | 0.865204i | \(-0.332811\pi\) |
−0.977805 | + | 0.209517i | \(0.932811\pi\) | |||||||
\(644\) | −10.4502 | + | 7.59250i | −0.411795 | + | 0.299187i | ||||
\(645\) | 6.22596 | − | 2.01322i | 0.245147 | − | 0.0792704i | ||||
\(646\) | −0.774096 | − | 0.251519i | −0.0304564 | − | 0.00989588i | ||||
\(647\) | −17.6799 | − | 12.8452i | −0.695070 | − | 0.504998i | 0.183253 | − | 0.983066i | \(-0.441337\pi\) |
−0.878323 | + | 0.478068i | \(0.841337\pi\) | |||||||
\(648\) | −13.9861 | − | 17.2220i | −0.549425 | − | 0.676546i | ||||
\(649\) | −30.7941 | + | 16.6319i | −1.20877 | + | 0.652861i | ||||
\(650\) | 5.03145 | − | 14.0508i | 0.197350 | − | 0.551117i | ||||
\(651\) | −9.88283 | + | 20.0581i | −0.387339 | + | 0.786138i | ||||
\(652\) | −32.2915 | − | 10.4921i | −1.26463 | − | 0.410904i | ||||
\(653\) | 0.796398 | + | 2.45106i | 0.0311654 | + | 0.0959174i | 0.965429 | − | 0.260665i | \(-0.0839419\pi\) |
−0.934264 | + | 0.356583i | \(0.883942\pi\) | |||||||
\(654\) | 3.14500 | + | 3.06158i | 0.122979 | + | 0.119717i | ||||
\(655\) | −31.8112 | + | 15.6179i | −1.24297 | + | 0.610243i | ||||
\(656\) | 3.77012 | + | 11.6032i | 0.147199 | + | 0.453031i | ||||
\(657\) | 0.830689 | + | 30.8965i | 0.0324083 | + | 1.20539i | ||||
\(658\) | −0.192685 | + | 0.265209i | −0.00751166 | + | 0.0103389i | ||||
\(659\) | −35.4001 | −1.37899 | −0.689496 | − | 0.724290i | \(-0.742168\pi\) | ||||
−0.689496 | + | 0.724290i | \(0.742168\pi\) | |||||||
\(660\) | −13.9794 | − | 13.3624i | −0.544148 | − | 0.520132i | ||||
\(661\) | −15.6254 | −0.607759 | −0.303879 | − | 0.952710i | \(-0.598282\pi\) | ||||
−0.303879 | + | 0.952710i | \(0.598282\pi\) | |||||||
\(662\) | −4.24489 | + | 5.84258i | −0.164982 | + | 0.227078i | ||||
\(663\) | 4.49931 | − | 31.1079i | 0.174739 | − | 1.20813i | ||||
\(664\) | −1.53182 | − | 4.71447i | −0.0594463 | − | 0.182957i | ||||
\(665\) | −0.531295 | − | 1.08216i | −0.0206027 | − | 0.0419645i | ||||
\(666\) | 7.11477 | − | 10.3676i | 0.275692 | − | 0.401736i | ||||
\(667\) | −9.75751 | − | 30.0305i | −0.377812 | − | 1.16279i | ||||
\(668\) | −7.67938 | − | 2.49518i | −0.297124 | − | 0.0965415i | ||||
\(669\) | −24.5458 | − | 12.0940i | −0.948997 | − | 0.467581i | ||||
\(670\) | −1.39694 | − | 0.242574i | −0.0539686 | − | 0.00937145i | ||||
\(671\) | −23.2006 | − | 22.1141i | −0.895650 | − | 0.853704i | ||||
\(672\) | −19.8120 | + | 3.41147i | −0.764266 | + | 0.131600i | ||||
\(673\) | −10.9648 | − | 7.96638i | −0.422661 | − | 0.307081i | 0.356047 | − | 0.934468i | \(-0.384124\pi\) |
−0.778708 | + | 0.627387i | \(0.784124\pi\) | |||||||
\(674\) | 5.86425 | + | 1.90541i | 0.225883 | + | 0.0733937i | ||||
\(675\) | 23.0225 | − | 12.0401i | 0.886137 | − | 0.463423i | ||||
\(676\) | −6.11116 | + | 4.44001i | −0.235044 | + | 0.170770i | ||||
\(677\) | −24.4276 | − | 33.6218i | −0.938830 | − | 1.29219i | −0.956314 | − | 0.292342i | \(-0.905565\pi\) |
0.0174834 | − | 0.999847i | \(-0.494435\pi\) | |||||||
\(678\) | 4.36336 | + | 8.28634i | 0.167574 | + | 0.318235i | ||||
\(679\) | −6.25358 | − | 2.03191i | −0.239990 | − | 0.0779775i | ||||
\(680\) | −16.4140 | − | 16.9089i | −0.629447 | − | 0.648428i | ||||
\(681\) | 2.38341 | − | 0.410403i | 0.0913323 | − | 0.0157267i | ||||
\(682\) | −13.3035 | + | 7.18525i | −0.509418 | + | 0.275138i | ||||
\(683\) | 9.96643 | 0.381355 | 0.190677 | − | 0.981653i | \(-0.438932\pi\) | ||||
0.190677 | + | 0.981653i | \(0.438932\pi\) | |||||||
\(684\) | −0.346469 | + | 1.17267i | −0.0132476 | + | 0.0448383i | ||||
\(685\) | −13.2439 | + | 25.0653i | −0.506024 | + | 0.957695i | ||||
\(686\) | 13.3639 | − | 4.34220i | 0.510237 | − | 0.165786i | ||||
\(687\) | 13.0723 | + | 12.7255i | 0.498738 | + | 0.485509i | ||||
\(688\) | −1.74618 | + | 1.26867i | −0.0665724 | + | 0.0483676i | ||||
\(689\) | 9.09720 | + | 27.9983i | 0.346576 | + | 1.06665i | ||||
\(690\) | 3.64188 | − | 11.1549i | 0.138644 | − | 0.424661i | ||||
\(691\) | 17.8614 | + | 12.9771i | 0.679480 | + | 0.493671i | 0.873185 | − | 0.487389i | \(-0.162051\pi\) |
−0.193705 | + | 0.981060i | \(0.562051\pi\) | |||||||
\(692\) | 24.5461i | 0.933102i | ||||||||
\(693\) | 4.09033 | + | 19.3871i | 0.155379 | + | 0.736456i | ||||
\(694\) | −11.0002 | −0.417561 | ||||||||
\(695\) | −24.4613 | + | 23.7453i | −0.927870 | + | 0.900709i | ||||
\(696\) | 4.47917 | − | 30.9686i | 0.169783 | − | 1.17386i | ||||
\(697\) | 38.8296 | − | 12.6165i | 1.47078 | − | 0.477884i | ||||
\(698\) | 17.3316 | − | 12.5922i | 0.656013 | − | 0.476621i | ||||
\(699\) | −18.9114 | + | 19.4267i | −0.715296 | + | 0.734786i | ||||
\(700\) | 0.445210 | − | 14.9835i | 0.0168274 | − | 0.566322i | ||||
\(701\) | −0.379885 | + | 1.16917i | −0.0143481 | + | 0.0441588i | −0.957974 | − | 0.286854i | \(-0.907390\pi\) |
0.943626 | + | 0.331013i | \(0.107390\pi\) | |||||||
\(702\) | 15.4044 | + | 1.80683i | 0.581400 | + | 0.0681945i | ||||
\(703\) | −1.61369 | −0.0608614 | ||||||||
\(704\) | −4.61590 | − | 2.21419i | −0.173968 | − | 0.0834503i | ||||
\(705\) | −0.00128061 | + | 0.906651i | −4.82305e−5 | + | 0.0341465i | ||||
\(706\) | 7.62366 | − | 10.4931i | 0.286920 | − | 0.394912i | ||||
\(707\) | −1.05189 | + | 3.23738i | −0.0395603 | + | 0.121754i | ||||
\(708\) | 12.8207 | + | 24.3474i | 0.481830 | + | 0.915032i | ||||
\(709\) | 35.8795 | − | 26.0680i | 1.34748 | − | 0.979003i | 0.348349 | − | 0.937365i | \(-0.386742\pi\) |
0.999133 | − | 0.0416377i | \(-0.0132575\pi\) | |||||||
\(710\) | 0.742368 | − | 0.364470i | 0.0278606 | − | 0.0136783i | ||||
\(711\) | 0.536532 | − | 0.412292i | 0.0201215 | − | 0.0154622i | ||||
\(712\) | 12.0786 | − | 37.1741i | 0.452664 | − | 1.39316i | ||||
\(713\) | 22.5975 | + | 16.4180i | 0.846283 | + | 0.614860i | ||||
\(714\) | 1.75963 | + | 10.2190i | 0.0658525 | + | 0.382437i | ||||
\(715\) | 31.4782 | − | 0.287117i | 1.17722 | − | 0.0107376i | ||||
\(716\) | 0.403786i | 0.0150902i | ||||||||
\(717\) | −14.0627 | + | 28.5415i | −0.525180 | + | 1.06590i | ||||
\(718\) | 11.5667 | + | 3.75825i | 0.431665 | + | 0.140257i | ||||
\(719\) | 21.3753 | − | 6.94525i | 0.797164 | − | 0.259014i | 0.118012 | − | 0.993012i | \(-0.462348\pi\) |
0.679152 | + | 0.733998i | \(0.262348\pi\) | |||||||
\(720\) | −5.98659 | + | 6.13236i | −0.223107 | + | 0.228540i | ||||
\(721\) | −6.94037 | − | 9.55259i | −0.258473 | − | 0.355757i | ||||
\(722\) | 12.6580 | − | 4.11282i | 0.471080 | − | 0.153063i | ||||
\(723\) | −0.434888 | + | 3.00678i | −0.0161737 | + | 0.111823i | ||||
\(724\) | −0.260428 | − | 0.189212i | −0.00967872 | − | 0.00703200i | ||||
\(725\) | 34.4981 | + | 12.3535i | 1.28123 | + | 0.458796i | ||||
\(726\) | −5.33870 | + | 12.2882i | −0.198138 | + | 0.456059i | ||||
\(727\) | − | 11.9207i | − | 0.442113i | −0.975261 | − | 0.221057i | \(-0.929049\pi\) | ||
0.975261 | − | 0.221057i | \(-0.0709506\pi\) | |||||||
\(728\) | 12.2476 | − | 16.8574i | 0.453926 | − | 0.624775i | ||||
\(729\) | 17.5782 | + | 20.4941i | 0.651043 | + | 0.759041i | ||||
\(730\) | −16.0363 | + | 2.29630i | −0.593530 | + | 0.0849900i | ||||
\(731\) | 4.24554 | + | 5.84348i | 0.157027 | + | 0.216129i | ||||
\(732\) | −17.5778 | + | 18.0567i | −0.649693 | + | 0.667395i | ||||
\(733\) | 10.7613 | + | 33.1199i | 0.397478 | + | 1.22331i | 0.927015 | + | 0.375025i | \(0.122366\pi\) |
−0.529537 | + | 0.848287i | \(0.677634\pi\) | |||||||
\(734\) | 0.495018 | − | 1.52351i | 0.0182714 | − | 0.0562337i | ||||
\(735\) | 6.92125 | − | 9.49805i | 0.255294 | − | 0.350341i | ||||
\(736\) | 25.1127i | 0.925665i | ||||||||
\(737\) | −0.538503 | − | 2.94172i | −0.0198360 | − | 0.108360i | ||||
\(738\) | 6.73836 | + | 18.9863i | 0.248042 | + | 0.698895i | ||||
\(739\) | 2.07357 | − | 2.85403i | 0.0762775 | − | 0.104987i | −0.769173 | − | 0.639040i | \(-0.779332\pi\) |
0.845451 | + | 0.534053i | \(0.179332\pi\) | |||||||
\(740\) | −17.7407 | − | 9.37381i | −0.652163 | − | 0.344588i | ||||
\(741\) | −0.927407 | − | 1.76121i | −0.0340691 | − | 0.0646998i | ||||
\(742\) | −5.70863 | − | 7.85726i | −0.209570 | − | 0.288449i | ||||
\(743\) | 29.3251 | + | 40.3625i | 1.07583 | + | 1.48076i | 0.864026 | + | 0.503447i | \(0.167935\pi\) |
0.211807 | + | 0.977311i | \(0.432065\pi\) | |||||||
\(744\) | 12.8967 | + | 24.4918i | 0.472816 | + | 0.897913i | ||||
\(745\) | 9.11945 | − | 17.2593i | 0.334111 | − | 0.632334i | ||||
\(746\) | −12.2869 | + | 16.9115i | −0.449856 | + | 0.619174i | ||||
\(747\) | 2.01775 | + | 5.68531i | 0.0738257 | + | 0.208015i | ||||
\(748\) | 9.23261 | − | 19.2471i | 0.337577 | − | 0.703745i | ||||
\(749\) | − | 6.30147i | − | 0.230251i | ||||||
\(750\) | 7.65754 | + | 11.2605i | 0.279614 | + | 0.411175i | ||||
\(751\) | 5.26337 | − | 16.1990i | 0.192063 | − | 0.591109i | −0.807935 | − | 0.589271i | \(-0.799415\pi\) |
0.999998 | − | 0.00183792i | \(-0.000585028\pi\) | |||||||
\(752\) | −0.0924172 | − | 0.284431i | −0.00337011 | − | 0.0103721i | ||||
\(753\) | 13.5354 | − | 13.9042i | 0.493259 | − | 0.506699i | ||||
\(754\) | 12.8580 | + | 17.6975i | 0.468259 | + | 0.644503i | ||||
\(755\) | −41.8773 | + | 5.99659i | −1.52407 | + | 0.218238i | ||||
\(756\) | 15.2756 | − | 3.05518i | 0.555569 | − | 0.111116i | ||||
\(757\) | −5.56375 | + | 7.65784i | −0.202218 | + | 0.278329i | −0.898067 | − | 0.439859i | \(-0.855028\pi\) |
0.695849 | + | 0.718188i | \(0.255028\pi\) | |||||||
\(758\) | 14.6767i | 0.533081i | ||||||||
\(759\) | 24.7335 | − | 0.925788i | 0.897768 | − | 0.0336040i | ||||
\(760\) | −1.47033 | − | 0.255317i | −0.0533344 | − | 0.00926132i | ||||
\(761\) | −39.8694 | − | 28.9668i | −1.44526 | − | 1.05005i | −0.986909 | − | 0.161276i | \(-0.948439\pi\) |
−0.458354 | − | 0.888770i | \(-0.651561\pi\) | |||||||
\(762\) | 1.75417 | − | 12.1282i | 0.0635469 | − | 0.439358i | ||||
\(763\) | −6.82484 | + | 2.21753i | −0.247076 | + | 0.0802798i | ||||
\(764\) | 3.52617 | + | 4.85335i | 0.127572 | + | 0.175588i | ||||
\(765\) | 20.5216 | + | 20.0338i | 0.741960 | + | 0.724323i | ||||
\(766\) | 5.66085 | − | 1.83932i | 0.204535 | − | 0.0664574i | ||||
\(767\) | −42.5997 | − | 13.8415i | −1.53819 | − | 0.499787i | ||||
\(768\) | −8.05422 | + | 16.3468i | −0.290632 | + | 0.589863i | ||||
\(769\) | − | 14.5213i | − | 0.523650i | −0.965115 | − | 0.261825i | \(-0.915676\pi\) | ||
0.965115 | − | 0.261825i | \(-0.0843244\pi\) | |||||||
\(770\) | −9.84726 | + | 3.29916i | −0.354871 | + | 0.118894i | ||||
\(771\) | 1.82718 | + | 10.6113i | 0.0658043 | + | 0.382158i | ||||
\(772\) | 19.7263 | + | 14.3320i | 0.709965 | + | 0.515820i | ||||
\(773\) | −4.77507 | + | 14.6962i | −0.171747 | + | 0.528584i | −0.999470 | − | 0.0325533i | \(-0.989636\pi\) |
0.827723 | + | 0.561138i | \(0.189636\pi\) | |||||||
\(774\) | −2.82613 | + | 2.17171i | −0.101583 | + | 0.0780605i | ||||
\(775\) | −31.1120 | + | 9.09663i | −1.11758 | + | 0.326761i | ||||
\(776\) | −6.58505 | + | 4.78432i | −0.236390 | + | 0.171747i | ||||
\(777\) | 9.57856 | + | 18.1904i | 0.343629 | + | 0.652577i | ||||
\(778\) | 5.72799 | − | 17.6289i | 0.205358 | − | 0.632028i | ||||
\(779\) | 1.51972 | − | 2.09172i | 0.0544497 | − | 0.0749436i | ||||
\(780\) | 0.0349582 | − | 24.7499i | 0.00125170 | − | 0.886189i | ||||
\(781\) | 1.26268 | + | 1.20354i | 0.0451821 | + | 0.0430661i | ||||
\(782\) | 12.9531 | 0.463201 | ||||||||
\(783\) | −4.43622 | + | 37.8215i | −0.158538 | + | 1.35163i | ||||
\(784\) | −1.19794 | + | 3.68688i | −0.0427836 | + | 0.131674i | ||||
\(785\) | 31.6363 | − | 4.53014i | 1.12915 | − | 0.161688i | ||||
\(786\) | 13.4648 | − | 13.8317i | 0.480273 | − | 0.493360i | ||||
\(787\) | −18.2083 | + | 13.2291i | −0.649057 | + | 0.471568i | −0.862950 | − | 0.505290i | \(-0.831386\pi\) |
0.213893 | + | 0.976857i | \(0.431386\pi\) | |||||||
\(788\) | 8.15523 | − | 2.64980i | 0.290518 | − | 0.0943950i | ||||
\(789\) | 5.96788 | − | 41.2614i | 0.212462 | − | 1.46895i | ||||
\(790\) | 0.247028 | + | 0.254477i | 0.00878886 | + | 0.00905389i | ||||
\(791\) | −15.3114 | −0.544411 | ||||||||
\(792\) | 22.3918 | + | 10.0099i | 0.795656 | + | 0.355687i | ||||
\(793\) | − | 41.0204i | − | 1.45668i | ||||||
\(794\) | −11.2295 | − | 8.15871i | −0.398520 | − | 0.289542i | ||||
\(795\) | −25.5347 | − | 8.33662i | −0.905622 | − | 0.295669i | ||||
\(796\) | 5.69257 | + | 17.5199i | 0.201768 | + | 0.620978i | ||||
\(797\) | 17.8825 | − | 12.9924i | 0.633429 | − | 0.460213i | −0.224157 | − | 0.974553i | \(-0.571963\pi\) |
0.857587 | + | 0.514340i | \(0.171963\pi\) | |||||||
\(798\) | 0.470530 | + | 0.458049i | 0.0166566 | + | 0.0162148i | ||||
\(799\) | −0.951831 | + | 0.309269i | −0.0336734 | + | 0.0109411i | ||||
\(800\) | −23.0578 | − | 17.8224i | −0.815217 | − | 0.630116i | ||||
\(801\) | −13.4784 | + | 45.6194i | −0.476235 | + | 1.61188i | ||||
\(802\) | 24.8530 | 0.877590 | ||||||||
\(803\) | −16.2381 | − | 30.0648i | −0.573028 | − | 1.06096i | ||||
\(804\) | −2.31718 | + | 0.398999i | −0.0817205 | + | 0.0140716i | ||||
\(805\) | 13.3631 | + | 13.7661i | 0.470988 | + | 0.485191i | ||||
\(806\) | −18.4037 | − | 5.97973i | −0.648243 | − | 0.210627i | ||||
\(807\) | −20.3770 | − | 38.6974i | −0.717303 | − | 1.36221i | ||||
\(808\) | 2.47677 | + | 3.40898i | 0.0871324 | + | 0.119928i | ||||
\(809\) | −6.51749 | + | 4.73523i | −0.229143 | + | 0.166482i | −0.696433 | − | 0.717622i | \(-0.745230\pi\) |
0.467290 | + | 0.884104i | \(0.345230\pi\) | |||||||
\(810\) | −9.60998 | + | 10.3885i | −0.337660 | + | 0.365013i | ||||
\(811\) | 26.9185 | + | 8.74635i | 0.945236 | + | 0.307126i | 0.740778 | − | 0.671749i | \(-0.234457\pi\) |
0.204458 | + | 0.978875i | \(0.434457\pi\) | |||||||
\(812\) | 17.7753 | + | 12.9145i | 0.623790 | + | 0.453210i | ||||
\(813\) | 38.3618 | − | 6.60558i | 1.34541 | − | 0.231668i | ||||
\(814\) | −1.84487 | + | 13.7782i | −0.0646627 | + | 0.482925i | ||||
\(815\) | −8.62780 | + | 49.6860i | −0.302219 | + | 1.74043i | ||||
\(816\) | −8.48594 | − | 4.18111i | −0.297067 | − | 0.146368i | ||||
\(817\) | 0.435020 | + | 0.141347i | 0.0152194 | + | 0.00494509i | ||||
\(818\) | 1.42839 | + | 4.39614i | 0.0499426 | + | 0.153708i | ||||
\(819\) | −14.3485 | + | 20.9085i | −0.501377 | + | 0.730603i | ||||
\(820\) | 28.8584 | − | 14.1682i | 1.00778 | − | 0.494775i | ||||
\(821\) | 14.6736 | + | 45.1606i | 0.512111 | + | 1.57611i | 0.788479 | + | 0.615062i | \(0.210869\pi\) |
−0.276368 | + | 0.961052i | \(0.589131\pi\) | |||||||
\(822\) | 2.21043 | − | 15.2827i | 0.0770976 | − | 0.533046i | ||||
\(823\) | −4.28607 | + | 5.89927i | −0.149403 | + | 0.205636i | −0.877158 | − | 0.480201i | \(-0.840564\pi\) |
0.727755 | + | 0.685837i | \(0.240564\pi\) | |||||||
\(824\) | −14.6165 | −0.509190 | ||||||||
\(825\) | −16.7032 | + | 23.3667i | −0.581532 | + | 0.813524i | ||||
\(826\) | 14.7771 | 0.514160 | ||||||||
\(827\) | 28.9978 | − | 39.9121i | 1.00835 | − | 1.38788i | 0.0882956 | − | 0.996094i | \(-0.471858\pi\) |
0.920057 | − | 0.391784i | \(-0.128142\pi\) | |||||||
\(828\) | −0.523007 | − | 19.4526i | −0.0181758 | − | 0.676025i | ||||
\(829\) | 8.50821 | + | 26.1856i | 0.295502 | + | 0.909463i | 0.983052 | + | 0.183326i | \(0.0586862\pi\) |
−0.687550 | + | 0.726137i | \(0.741314\pi\) | |||||||
\(830\) | −2.83837 | + | 1.39351i | −0.0985211 | + | 0.0483696i | ||||
\(831\) | 12.1402 | + | 11.8182i | 0.421139 | + | 0.409969i | ||||
\(832\) | −2.02469 | − | 6.23136i | −0.0701936 | − | 0.216034i | ||||
\(833\) | 12.3379 | + | 4.00884i | 0.427484 | + | 0.138898i | ||||
\(834\) | 8.20719 | − | 16.6572i | 0.284192 | − | 0.576793i | ||||
\(835\) | −2.05182 | + | 11.8161i | −0.0710060 | + | 0.408912i | ||||
\(836\) | −0.243420 | − | 1.32974i | −0.00841884 | − | 0.0459902i | ||||
\(837\) | −16.4906 | − | 29.3738i | −0.570000 | − | 1.01531i | ||||
\(838\) | −0.966079 | − | 0.701897i | −0.0333726 | − | 0.0242466i | ||||
\(839\) | 11.3888 | + | 3.70044i | 0.393185 | + | 0.127753i | 0.498935 | − | 0.866639i | \(-0.333725\pi\) |
−0.105751 | + | 0.994393i | \(0.533725\pi\) | |||||||
\(840\) | 5.84952 | + | 18.0899i | 0.201828 | + | 0.624160i | ||||
\(841\) | −19.9902 | + | 14.5237i | −0.689316 | + | 0.500817i | ||||
\(842\) | 7.99069 | + | 10.9982i | 0.275377 | + | 0.379025i | ||||
\(843\) | 20.9926 | − | 11.0541i | 0.723023 | − | 0.380724i | ||||
\(844\) | −5.26138 | − | 1.70953i | −0.181104 | − | 0.0588443i | ||||
\(845\) | 7.81461 | + | 8.05026i | 0.268831 | + | 0.276937i | ||||
\(846\) | −0.165178 | − | 0.465412i | −0.00567892 | − | 0.0160012i | ||||
\(847\) | −13.7101 | − | 17.0841i | −0.471083 | − | 0.587018i | ||||
\(848\) | 8.86041 | 0.304268 | ||||||||
\(849\) | 22.8532 | − | 46.3827i | 0.784321 | − | 1.59185i | ||||
\(850\) | −9.19275 | + | 11.8932i | −0.315309 | + | 0.407933i | ||||
\(851\) | 24.4236 | − | 7.93572i | 0.837231 | − | 0.272033i | ||||
\(852\) | 0.956656 | − | 0.982722i | 0.0327745 | − | 0.0336675i | ||||
\(853\) | −24.3184 | + | 17.6684i | −0.832647 | + | 0.604954i | −0.920307 | − | 0.391197i | \(-0.872061\pi\) |
0.0876596 | + | 0.996150i | \(0.472061\pi\) | |||||||
\(854\) | 4.18186 | + | 12.8704i | 0.143100 | + | 0.440418i | ||||
\(855\) | 1.79709 | + | 0.262515i | 0.0614591 | + | 0.00897782i | ||||
\(856\) | −6.31073 | − | 4.58501i | −0.215696 | − | 0.156712i | ||||
\(857\) | − | 23.3578i | − | 0.797886i | −0.916976 | − | 0.398943i | \(-0.869377\pi\) | ||
0.916976 | − | 0.398943i | \(-0.130623\pi\) | |||||||
\(858\) | −16.0981 | + | 5.90496i | −0.549579 | + | 0.201592i | ||||
\(859\) | 0.342372 | 0.0116816 | 0.00584079 | − | 0.999983i | \(-0.498141\pi\) | ||||
0.00584079 | + | 0.999983i | \(0.498141\pi\) | |||||||
\(860\) | 3.96150 | + | 4.08096i | 0.135086 | + | 0.139160i | ||||
\(861\) | −32.5998 | − | 4.71511i | −1.11100 | − | 0.160690i | ||||
\(862\) | −12.2586 | + | 3.98307i | −0.417531 | + | 0.135664i | ||||
\(863\) | 29.6404 | − | 21.5350i | 1.00897 | − | 0.733060i | 0.0449774 | − | 0.998988i | \(-0.485678\pi\) |
0.963993 | + | 0.265928i | \(0.0856784\pi\) | |||||||
\(864\) | 12.6507 | − | 27.5173i | 0.430384 | − | 0.936159i | ||||
\(865\) | 36.0893 | − | 5.16777i | 1.22707 | − | 0.175710i | ||||
\(866\) | 1.42051 | − | 4.37187i | 0.0482708 | − | 0.148562i | ||||
\(867\) | −0.977967 | + | 1.98487i | −0.0332135 | + | 0.0674098i | ||||
\(868\) | −19.4359 | −0.659697 | ||||||||
\(869\) | −0.323538 | + | 0.674477i | −0.0109753 | + | 0.0228801i | ||||
\(870\) | −19.9596 | − | 0.0281921i | −0.676694 | − | 0.000955802i | ||||
\(871\) | 2.24972 | − | 3.09647i | 0.0762287 | − | 0.104920i | ||||
\(872\) | −2.74504 | + | 8.44836i | −0.0929587 | + | 0.286098i | ||||
\(873\) | 7.85460 | − | 6.03578i | 0.265838 | − | 0.204280i | ||||
\(874\) | 0.663620 | − | 0.482148i | 0.0224473 | − | 0.0163089i | ||||
\(875\) | −22.1234 | + | 2.49995i | −0.747908 | + | 0.0845136i | ||||
\(876\) | −23.7708 | + | 12.5170i | −0.803141 | + | 0.422912i | ||||
\(877\) | −8.15170 | + | 25.0883i | −0.275263 | + | 0.847173i | 0.713886 | + | 0.700262i | \(0.246933\pi\) |
−0.989150 | + | 0.146912i | \(0.953067\pi\) | |||||||
\(878\) | 3.81876 | + | 2.77449i | 0.128877 | + | 0.0936347i | ||||
\(879\) | −41.6478 | + | 7.17140i | −1.40474 | + | 0.241885i | ||||
\(880\) | 2.84548 | − | 9.03712i | 0.0959210 | − | 0.304641i | ||||
\(881\) | 21.4753i | 0.723520i | 0.932271 | + | 0.361760i | \(0.117824\pi\) | ||||
−0.932271 | + | 0.361760i | \(0.882176\pi\) | |||||||
\(882\) | −1.81382 | + | 6.13914i | −0.0610747 | + | 0.206716i | ||||
\(883\) | −43.3915 | − | 14.0988i | −1.46024 | − | 0.474461i | −0.532097 | − | 0.846684i | \(-0.678596\pi\) |
−0.928143 | + | 0.372223i | \(0.878596\pi\) | |||||||
\(884\) | 25.9832 | − | 8.44246i | 0.873911 | − | 0.283951i | ||||
\(885\) | 33.0980 | − | 23.9758i | 1.11258 | − | 0.805936i | ||||
\(886\) | −6.37802 | − | 8.77859i | −0.214274 | − | 0.294923i | ||||
\(887\) | −48.7875 | + | 15.8520i | −1.63812 | + | 0.532259i | −0.976118 | − | 0.217239i | \(-0.930295\pi\) |
−0.662006 | + | 0.749498i | \(0.730295\pi\) | |||||||
\(888\) | 25.1866 | + | 3.64288i | 0.845206 | + | 0.122247i | ||||
\(889\) | 16.2091 | + | 11.7766i | 0.543636 | + | 0.394975i | ||||
\(890\) | −24.5651 | − | 4.26563i | −0.823423 | − | 0.142984i | ||||
\(891\) | −27.5682 | − | 11.4452i | −0.923570 | − | 0.383429i | ||||
\(892\) | − | 23.7844i | − | 0.796362i | ||||||
\(893\) | −0.0372530 | + | 0.0512744i | −0.00124662 | + | 0.00171583i | ||||
\(894\) | −1.52205 | + | 10.5233i | −0.0509049 | + | 0.351952i | ||||
\(895\) | 0.593673 | − | 0.0850104i | 0.0198443 | − | 0.00284159i | ||||
\(896\) | −12.3741 | − | 17.0315i | −0.413390 | − | 0.568982i | ||||
\(897\) | 22.6978 | + | 22.0957i | 0.757857 | + | 0.737755i | ||||
\(898\) | −1.62896 | − | 5.01341i | −0.0543590 | − | 0.167300i | ||||
\(899\) | 14.6817 | − | 45.1857i | 0.489663 | − | 1.50703i | ||||
\(900\) | 18.2321 | + | 13.3252i | 0.607736 | + | 0.444175i | ||||
\(901\) | − | 29.6508i | − | 0.987813i | ||||||
\(902\) | −16.1223 | − | 15.3673i | −0.536814 | − | 0.511674i | ||||
\(903\) | −0.988863 | − | 5.74280i | −0.0329073 | − | 0.191108i | ||||
\(904\) | −11.1407 | + | 15.3339i | −0.370535 | + | 0.509998i | ||||
\(905\) | −0.223363 | + | 0.422734i | −0.00742484 | + | 0.0140521i | ||||
\(906\) | 20.3893 | − | 10.7364i | 0.677388 | − | 0.356694i | ||||
\(907\) | 21.6301 | + | 29.7713i | 0.718217 | + | 0.988541i | 0.999581 | + | 0.0289397i | \(0.00921308\pi\) |
−0.281364 | + | 0.959601i | \(0.590787\pi\) | |||||||
\(908\) | 1.23561 | + | 1.70067i | 0.0410052 | + | 0.0564389i | ||||
\(909\) | −3.12463 | − | 4.06620i | −0.103637 | − | 0.134867i | ||||
\(910\) | −11.7517 | − | 6.20933i | −0.389565 | − | 0.205837i | ||||
\(911\) | 28.7607 | − | 39.5856i | 0.952883 | − | 1.31153i | 0.00264805 | − | 0.999996i | \(-0.499157\pi\) |
0.950235 | − | 0.311534i | \(-0.100843\pi\) | |||||||
\(912\) | −0.590389 | + | 0.101660i | −0.0195497 | + | 0.00336630i | ||||
\(913\) | −4.82771 | − | 4.60161i | −0.159774 | − | 0.152291i | ||||
\(914\) | 25.6398i | 0.848088i | ||||||||
\(915\) | 30.2489 | + | 22.0425i | 0.999998 | + | 0.728701i | ||||
\(916\) | −4.90016 | + | 15.0811i | −0.161906 | + | 0.498295i | ||||
\(917\) | 9.75266 | + | 30.0156i | 0.322061 | + | 0.991203i | ||||
\(918\) | −14.1934 | − | 6.52520i | −0.468452 | − | 0.215364i | ||||
\(919\) | −3.24014 | − | 4.45967i | −0.106882 | − | 0.147111i | 0.752225 | − | 0.658906i | \(-0.228981\pi\) |
−0.859107 | + | 0.511795i | \(0.828981\pi\) | |||||||
\(920\) | 23.5094 | − | 3.36641i | 0.775083 | − | 0.110987i | ||||
\(921\) | −12.4836 | − | 1.80558i | −0.411349 | − | 0.0594959i | ||||
\(922\) | −3.87474 | + | 5.33312i | −0.127608 | + | 0.175637i | ||||
\(923\) | 2.23250i | 0.0734836i | ||||||||
\(924\) | −13.5447 | + | 10.6371i | −0.445589 | + | 0.349935i | ||||
\(925\) | −10.0470 | + | 28.0571i | −0.330343 | + | 0.922513i | ||||
\(926\) | 0.0359953 | + | 0.0261521i | 0.00118288 | + | 0.000859411i | ||||
\(927\) | 17.7818 | − | 0.478085i | 0.584030 | − | 0.0157024i | ||||
\(928\) | 40.6248 | − | 13.1998i | 1.33357 | − | 0.433305i | ||||
\(929\) | 10.1583 | + | 13.9817i | 0.333282 | + | 0.458723i | 0.942464 | − | 0.334307i | \(-0.108502\pi\) |
−0.609182 | + | 0.793030i | \(0.708502\pi\) | |||||||
\(930\) | 14.2988 | − | 10.3579i | 0.468877 | − | 0.339649i | ||||
\(931\) | 0.781324 | − | 0.253868i | 0.0256069 | − | 0.00832018i | ||||
\(932\) | −22.4121 | − | 7.28214i | −0.734133 | − | 0.238534i | ||||
\(933\) | −3.68199 | − | 1.81415i | −0.120543 | − | 0.0593927i | ||||
\(934\) | − | 19.6150i | − | 0.641823i | ||||||
\(935\) | −30.2422 | − | 9.52222i | −0.989026 | − | 0.311410i | ||||
\(936\) | 10.4991 | + | 29.5828i | 0.343175 | + | 0.966944i | ||||
\(937\) | −20.1712 | − | 14.6552i | −0.658964 | − | 0.478766i | 0.207349 | − | 0.978267i | \(-0.433517\pi\) |
−0.866313 | + | 0.499501i | \(0.833517\pi\) | |||||||
\(938\) | −0.390193 | + | 1.20089i | −0.0127402 | + | 0.0392104i | ||||
\(939\) | −11.7918 | − | 22.3935i | −0.384811 | − | 0.730786i | ||||
\(940\) | −0.707406 | + | 0.347306i | −0.0230731 | + | 0.0113279i | ||||
\(941\) | 0.979392 | − | 0.711570i | 0.0319273 | − | 0.0231965i | −0.571707 | − | 0.820458i | \(-0.693719\pi\) |
0.603634 | + | 0.797261i | \(0.293719\pi\) | |||||||
\(942\) | −15.4031 | + | 8.11086i | −0.501861 | + | 0.264266i | ||||
\(943\) | −12.7149 | + | 39.1324i | −0.414054 | + | 1.27433i | ||||
\(944\) | −7.92405 | + | 10.9065i | −0.257906 | + | 0.354977i | ||||
\(945\) | −7.70797 | − | 21.8160i | −0.250740 | − | 0.709675i | ||||
\(946\) | 1.70420 | − | 3.55274i | 0.0554085 | − | 0.115510i | ||||
\(947\) | 48.8953 | 1.58888 | 0.794442 | − | 0.607340i | \(-0.207763\pi\) | ||||
0.794442 | + | 0.607340i | \(0.207763\pi\) | |||||||
\(948\) | 0.527581 | + | 0.259945i | 0.0171350 | + | 0.00844261i | ||||
\(949\) | 13.5137 | − | 41.5908i | 0.438673 | − | 1.35010i | ||||
\(950\) | −0.0282723 | + | 0.951498i | −0.000917273 | + | 0.0308707i | ||||
\(951\) | 30.7637 | + | 29.9477i | 0.997581 | + | 0.971121i | ||||
\(952\) | −16.9786 | + | 12.3357i | −0.550279 | + | 0.399801i | ||||
\(953\) | −19.8549 | + | 6.45124i | −0.643162 | + | 0.208976i | −0.612397 | − | 0.790550i | \(-0.709795\pi\) |
−0.0307656 | + | 0.999527i | \(0.509795\pi\) | |||||||
\(954\) | 14.6260 | − | 0.393238i | 0.473534 | − | 0.0127315i | ||||
\(955\) | 6.39334 | − | 6.20620i | 0.206884 | − | 0.200828i | ||||
\(956\) | −27.6561 | −0.894463 | ||||||||
\(957\) | −14.4981 | − | 39.5248i | −0.468658 | − | 1.27765i | ||||
\(958\) | 6.86200i | 0.221701i | ||||||||
\(959\) | 20.4251 | + | 14.8397i | 0.659561 | + | 0.479199i | ||||
\(960\) | 5.68306 | + | 1.85542i | 0.183420 | + | 0.0598833i | ||||
\(961\) | 3.40790 | + | 10.4884i | 0.109932 | + | 0.338337i | ||||
\(962\) | −14.3932 | + | 10.4573i | −0.464056 | + | 0.337157i | ||||
\(963\) | 7.82732 | + | 5.37150i | 0.252232 | + | 0.173094i | ||||
\(964\) | −2.51145 | + | 0.816020i | −0.0808884 | + | 0.0262822i | ||||
\(965\) | 16.9188 | − | 32.0203i | 0.544636 | − | 1.03077i | ||||
\(966\) | −9.37418 | − | 4.61876i | −0.301609 | − | 0.148606i | ||||
\(967\) | 35.6672 | 1.14698 | 0.573490 | − | 0.819213i | \(-0.305589\pi\) | ||||
0.573490 | + | 0.819213i | \(0.305589\pi\) | |||||||
\(968\) | −27.0848 | + | 1.29962i | −0.870539 | + | 0.0417712i | ||||
\(969\) | 0.340200 | + | 1.97570i | 0.0109288 | + | 0.0634688i | ||||
\(970\) | 3.61638 | + | 3.72543i | 0.116115 | + | 0.119616i | ||||
\(971\) | 4.98955 | + | 1.62120i | 0.160122 | + | 0.0520269i | 0.387981 | − | 0.921667i | \(-0.373173\pi\) |
−0.227859 | + | 0.973694i | \(0.573173\pi\) | |||||||
\(972\) | −9.22629 | + | 21.5788i | −0.295933 | + | 0.692140i | ||||
\(973\) | 17.8454 | + | 24.5620i | 0.572096 | + | 0.787423i | ||||
\(974\) | −7.10586 | + | 5.16271i | −0.227687 | + | 0.165424i | ||||
\(975\) | −36.3963 | + | 5.15929i | −1.16561 | + | 0.165229i | ||||
\(976\) | −11.7418 | − | 3.81514i | −0.375845 | − | 0.122120i | ||||
\(977\) | −16.6058 | − | 12.0648i | −0.531265 | − | 0.385987i | 0.289565 | − | 0.957158i | \(-0.406489\pi\) |
−0.820831 | + | 0.571171i | \(0.806489\pi\) | |||||||
\(978\) | −4.66133 | − | 27.0706i | −0.149053 | − | 0.865623i | ||||
\(979\) | −9.46952 | − | 51.7298i | −0.302647 | − | 1.65329i | ||||
\(980\) | 10.0645 | + | 1.74767i | 0.321499 | + | 0.0558272i | ||||
\(981\) | 3.06316 | − | 10.3677i | 0.0977991 | − | 0.331015i | ||||
\(982\) | 13.5888 | + | 4.41528i | 0.433637 | + | 0.140897i | ||||
\(983\) | 7.11648 | + | 21.9023i | 0.226981 | + | 0.698574i | 0.998085 | + | 0.0618651i | \(0.0197049\pi\) |
−0.771104 | + | 0.636709i | \(0.780295\pi\) | |||||||
\(984\) | −28.4420 | + | 29.2170i | −0.906698 | + | 0.931403i | ||||
\(985\) | −5.61286 | − | 11.4325i | −0.178840 | − | 0.364270i | ||||
\(986\) | −6.80844 | − | 20.9542i | −0.216825 | − | 0.667318i | ||||
\(987\) | 0.799121 | + | 0.115582i | 0.0254363 | + | 0.00367900i | ||||
\(988\) | 1.01694 | − | 1.39970i | 0.0323531 | − | 0.0445302i | ||||
\(989\) | −7.27926 | −0.231467 | ||||||||
\(990\) | 4.29598 | − | 15.0440i | 0.136535 | − | 0.478129i | ||||
\(991\) | −3.54759 | −0.112693 | −0.0563465 | − | 0.998411i | \(-0.517945\pi\) | ||||
−0.0563465 | + | 0.998411i | \(0.517945\pi\) | |||||||
\(992\) | −22.2101 | + | 30.5695i | −0.705170 | + | 0.970583i | ||||
\(993\) | 17.6048 | + | 2.54628i | 0.558670 | + | 0.0808037i | ||||
\(994\) | −0.227595 | − | 0.700464i | −0.00721886 | − | 0.0222174i | ||||
\(995\) | 24.5605 | − | 12.0581i | 0.778620 | − | 0.382269i | ||||
\(996\) | −3.65767 | + | 3.75734i | −0.115898 | + | 0.119056i | ||||
\(997\) | −1.51195 | − | 4.65329i | −0.0478838 | − | 0.147371i | 0.924256 | − | 0.381774i | \(-0.124687\pi\) |
−0.972140 | + | 0.234403i | \(0.924687\pi\) | |||||||
\(998\) | −27.0759 | − | 8.79750i | −0.857073 | − | 0.278480i | ||||
\(999\) | −30.7600 | − | 3.60795i | −0.973204 | − | 0.114150i |
(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 | 165.2.r.a.29.8 | yes | 80 | |
3.2 | odd | 2 | inner | 165.2.r.a.29.14 | yes | 80 | |
5.2 | odd | 4 | 825.2.bi.h.326.8 | 80 | |||
5.3 | odd | 4 | 825.2.bi.h.326.13 | 80 | |||
5.4 | even | 2 | inner | 165.2.r.a.29.13 | yes | 80 | |
11.8 | odd | 10 | inner | 165.2.r.a.74.7 | yes | 80 | |
15.2 | even | 4 | 825.2.bi.h.326.14 | 80 | |||
15.8 | even | 4 | 825.2.bi.h.326.7 | 80 | |||
15.14 | odd | 2 | inner | 165.2.r.a.29.7 | ✓ | 80 | |
33.8 | even | 10 | inner | 165.2.r.a.74.13 | yes | 80 | |
55.8 | even | 20 | 825.2.bi.h.701.7 | 80 | |||
55.19 | odd | 10 | inner | 165.2.r.a.74.14 | yes | 80 | |
55.52 | even | 20 | 825.2.bi.h.701.14 | 80 | |||
165.8 | odd | 20 | 825.2.bi.h.701.13 | 80 | |||
165.74 | even | 10 | inner | 165.2.r.a.74.8 | yes | 80 | |
165.107 | odd | 20 | 825.2.bi.h.701.8 | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
165.2.r.a.29.7 | ✓ | 80 | 15.14 | odd | 2 | inner | |
165.2.r.a.29.8 | yes | 80 | 1.1 | even | 1 | trivial | |
165.2.r.a.29.13 | yes | 80 | 5.4 | even | 2 | inner | |
165.2.r.a.29.14 | yes | 80 | 3.2 | odd | 2 | inner | |
165.2.r.a.74.7 | yes | 80 | 11.8 | odd | 10 | inner | |
165.2.r.a.74.8 | yes | 80 | 165.74 | even | 10 | inner | |
165.2.r.a.74.13 | yes | 80 | 33.8 | even | 10 | inner | |
165.2.r.a.74.14 | yes | 80 | 55.19 | odd | 10 | inner | |
825.2.bi.h.326.7 | 80 | 15.8 | even | 4 | |||
825.2.bi.h.326.8 | 80 | 5.2 | odd | 4 | |||
825.2.bi.h.326.13 | 80 | 5.3 | odd | 4 | |||
825.2.bi.h.326.14 | 80 | 15.2 | even | 4 | |||
825.2.bi.h.701.7 | 80 | 55.8 | even | 20 | |||
825.2.bi.h.701.8 | 80 | 165.107 | odd | 20 | |||
825.2.bi.h.701.13 | 80 | 165.8 | odd | 20 | |||
825.2.bi.h.701.14 | 80 | 55.52 | even | 20 |