Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [370,2,Mod(9,370)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(370, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("370.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 370 = 2 \cdot 5 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 370.x (of order \(18\), 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: | \(2.95446487479\) |
Analytic rank: | \(0\) |
Dimension: | \(108\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 49.16 | ||
Character | \(\chi\) | \(=\) | 370.49 |
Dual form | 370.2.x.a.219.16 |
$q$-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 \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).
\(n\) | \(261\) | \(297\) |
\(\chi(n)\) | \(e\left(\frac{7}{9}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.642788 | + | 0.766044i | 0.454519 | + | 0.541675i | ||||
\(3\) | 0.958481 | − | 1.14227i | 0.553379 | − | 0.659491i | −0.414752 | − | 0.909934i | \(-0.636132\pi\) |
0.968131 | + | 0.250443i | \(0.0805762\pi\) | |||||||
\(4\) | −0.173648 | + | 0.984808i | −0.0868241 | + | 0.492404i | ||||
\(5\) | −0.774702 | − | 2.09758i | −0.346457 | − | 0.938066i | ||||
\(6\) | 1.49113 | 0.608752 | ||||||||
\(7\) | −1.14359 | − | 3.14198i | −0.432235 | − | 1.18756i | −0.944438 | − | 0.328691i | \(-0.893393\pi\) |
0.512203 | − | 0.858865i | \(-0.328830\pi\) | |||||||
\(8\) | −0.866025 | + | 0.500000i | −0.306186 | + | 0.176777i | ||||
\(9\) | 0.134843 | + | 0.764731i | 0.0449476 | + | 0.254910i | ||||
\(10\) | 1.10887 | − | 1.94175i | 0.350655 | − | 0.614036i | ||||
\(11\) | −2.82853 | − | 4.89915i | −0.852833 | − | 1.47715i | −0.878641 | − | 0.477483i | \(-0.841549\pi\) |
0.0258078 | − | 0.999667i | \(-0.491784\pi\) | |||||||
\(12\) | 0.958481 | + | 1.14227i | 0.276689 | + | 0.329746i | ||||
\(13\) | 7.01795 | + | 1.23745i | 1.94643 | + | 0.343208i | 0.999781 | + | 0.0209434i | \(0.00666697\pi\) |
0.946650 | + | 0.322265i | \(0.104444\pi\) | |||||||
\(14\) | 1.67181 | − | 2.89566i | 0.446810 | − | 0.773898i | ||||
\(15\) | −3.13854 | − | 1.12557i | −0.810368 | − | 0.290620i | ||||
\(16\) | −0.939693 | − | 0.342020i | −0.234923 | − | 0.0855050i | ||||
\(17\) | 0.135980 | − | 0.0239769i | 0.0329799 | − | 0.00581525i | −0.157134 | − | 0.987577i | \(-0.550225\pi\) |
0.190114 | + | 0.981762i | \(0.439114\pi\) | |||||||
\(18\) | −0.499143 | + | 0.594855i | −0.117649 | + | 0.140209i | ||||
\(19\) | 2.40473 | + | 2.01781i | 0.551682 | + | 0.462916i | 0.875510 | − | 0.483200i | \(-0.160525\pi\) |
−0.323828 | + | 0.946116i | \(0.604970\pi\) | |||||||
\(20\) | 2.20024 | − | 0.398692i | 0.491988 | − | 0.0891502i | ||||
\(21\) | −4.68510 | − | 1.70524i | −1.02237 | − | 0.372113i | ||||
\(22\) | 1.93483 | − | 5.31589i | 0.412506 | − | 1.13335i | ||||
\(23\) | −4.10254 | − | 2.36860i | −0.855438 | − | 0.493888i | 0.00704366 | − | 0.999975i | \(-0.497758\pi\) |
−0.862482 | + | 0.506088i | \(0.831091\pi\) | |||||||
\(24\) | −0.258932 | + | 1.46848i | −0.0528543 | + | 0.299752i | ||||
\(25\) | −3.79967 | + | 3.25000i | −0.759935 | + | 0.649999i | ||||
\(26\) | 3.56311 | + | 6.17149i | 0.698783 | + | 1.21033i | ||||
\(27\) | 4.87685 | + | 2.81565i | 0.938550 | + | 0.541872i | ||||
\(28\) | 3.29282 | − | 0.580614i | 0.622285 | − | 0.109726i | ||||
\(29\) | 3.66896 | + | 6.35483i | 0.681309 | + | 1.18006i | 0.974581 | + | 0.224033i | \(0.0719225\pi\) |
−0.293272 | + | 0.956029i | \(0.594744\pi\) | |||||||
\(30\) | −1.15518 | − | 3.12776i | −0.210906 | − | 0.571049i | ||||
\(31\) | −2.49268 | −0.447699 | −0.223849 | − | 0.974624i | \(-0.571862\pi\) | ||||
−0.223849 | + | 0.974624i | \(0.571862\pi\) | |||||||
\(32\) | −0.342020 | − | 0.939693i | −0.0604612 | − | 0.166116i | ||||
\(33\) | −8.30726 | − | 1.46479i | −1.44611 | − | 0.254988i | ||||
\(34\) | 0.105774 | + | 0.0887545i | 0.0181400 | + | 0.0152213i | ||||
\(35\) | −5.70460 | + | 4.83286i | −0.964254 | + | 0.816902i | ||||
\(36\) | −0.776528 | −0.129421 | ||||||||
\(37\) | 3.63280 | − | 4.87881i | 0.597229 | − | 0.802071i | ||||
\(38\) | 3.13915i | 0.509237i | ||||||||
\(39\) | 8.14008 | − | 6.83034i | 1.30346 | − | 1.09373i | ||||
\(40\) | 1.71970 | + | 1.42921i | 0.271909 | + | 0.225977i | ||||
\(41\) | 0.125638 | − | 0.712527i | 0.0196213 | − | 0.111278i | −0.973424 | − | 0.229010i | \(-0.926451\pi\) |
0.993045 | + | 0.117732i | \(0.0375623\pi\) | |||||||
\(42\) | −1.70524 | − | 4.68510i | −0.263124 | − | 0.722926i | ||||
\(43\) | 11.3402i | 1.72937i | 0.502313 | + | 0.864686i | \(0.332483\pi\) | ||||
−0.502313 | + | 0.864686i | \(0.667517\pi\) | |||||||
\(44\) | 5.31589 | − | 1.93483i | 0.801401 | − | 0.291686i | ||||
\(45\) | 1.49962 | − | 0.875282i | 0.223550 | − | 0.130479i | ||||
\(46\) | −0.822607 | − | 4.66523i | −0.121287 | − | 0.687851i | ||||
\(47\) | 2.72976 | + | 1.57603i | 0.398176 | + | 0.229887i | 0.685697 | − | 0.727887i | \(-0.259498\pi\) |
−0.287520 | + | 0.957774i | \(0.592831\pi\) | |||||||
\(48\) | −1.29136 | + | 0.745565i | −0.186391 | + | 0.107613i | ||||
\(49\) | −3.20191 | + | 2.68673i | −0.457416 | + | 0.383818i | ||||
\(50\) | −4.93203 | − | 0.821661i | −0.697494 | − | 0.116200i | ||||
\(51\) | 0.102946 | − | 0.178307i | 0.0144153 | − | 0.0249680i | ||||
\(52\) | −2.43731 | + | 6.69645i | −0.337994 | + | 0.928631i | ||||
\(53\) | 1.74669 | − | 4.79900i | 0.239927 | − | 0.659194i | −0.760030 | − | 0.649888i | \(-0.774816\pi\) |
0.999957 | − | 0.00930546i | \(-0.00296206\pi\) | |||||||
\(54\) | 0.977865 | + | 5.54575i | 0.133071 | + | 0.754680i | ||||
\(55\) | −8.08509 | + | 9.72844i | −1.09019 | + | 1.31178i | ||||
\(56\) | 2.56136 | + | 2.14924i | 0.342276 | + | 0.287204i | ||||
\(57\) | 4.60977 | − | 0.812826i | 0.610579 | − | 0.107661i | ||||
\(58\) | −2.50972 | + | 6.89540i | −0.329542 | + | 0.905410i | ||||
\(59\) | −1.05245 | − | 0.383059i | −0.137017 | − | 0.0498701i | 0.272602 | − | 0.962127i | \(-0.412116\pi\) |
−0.409618 | + | 0.912257i | \(0.634338\pi\) | |||||||
\(60\) | 1.65347 | − | 2.89541i | 0.213462 | − | 0.373796i | ||||
\(61\) | −1.68674 | + | 9.56600i | −0.215966 | + | 1.22480i | 0.663258 | + | 0.748391i | \(0.269173\pi\) |
−0.879223 | + | 0.476410i | \(0.841938\pi\) | |||||||
\(62\) | −1.60227 | − | 1.90951i | −0.203488 | − | 0.242507i | ||||
\(63\) | 2.24856 | − | 1.29821i | 0.283292 | − | 0.163559i | ||||
\(64\) | 0.500000 | − | 0.866025i | 0.0625000 | − | 0.108253i | ||||
\(65\) | −2.84116 | − | 15.6794i | −0.352403 | − | 1.94479i | ||||
\(66\) | −4.21770 | − | 7.30528i | −0.519164 | − | 0.899218i | ||||
\(67\) | −3.86242 | − | 10.6119i | −0.471869 | − | 1.29645i | −0.916248 | − | 0.400612i | \(-0.868798\pi\) |
0.444378 | − | 0.895839i | \(-0.353425\pi\) | |||||||
\(68\) | 0.138078i | 0.0167444i | ||||||||
\(69\) | −6.63779 | + | 2.41596i | −0.799096 | + | 0.290847i | ||||
\(70\) | −7.36903 | − | 1.26348i | −0.880768 | − | 0.151015i | ||||
\(71\) | 9.39674 | + | 7.88480i | 1.11519 | + | 0.935754i | 0.998351 | − | 0.0573976i | \(-0.0182803\pi\) |
0.116836 | + | 0.993151i | \(0.462725\pi\) | |||||||
\(72\) | −0.499143 | − | 0.594855i | −0.0588246 | − | 0.0701044i | ||||
\(73\) | − | 1.50737i | − | 0.176425i | −0.996102 | − | 0.0882123i | \(-0.971885\pi\) | ||
0.996102 | − | 0.0882123i | \(-0.0281154\pi\) | |||||||
\(74\) | 6.07250 | − | 0.353151i | 0.705914 | − | 0.0410530i | ||||
\(75\) | 0.0704694 | + | 7.45532i | 0.00813710 | + | 0.860866i | ||||
\(76\) | −2.40473 | + | 2.01781i | −0.275841 | + | 0.231458i | ||||
\(77\) | −12.1584 | + | 14.4898i | −1.38557 | + | 1.65126i | ||||
\(78\) | 10.4647 | + | 1.84521i | 1.18489 | + | 0.208929i | ||||
\(79\) | 2.72882 | − | 0.993208i | 0.307016 | − | 0.111745i | −0.183918 | − | 0.982942i | \(-0.558878\pi\) |
0.490934 | + | 0.871197i | \(0.336656\pi\) | |||||||
\(80\) | 0.0105676 | + | 2.23604i | 0.00118149 | + | 0.249997i | ||||
\(81\) | 5.70151 | − | 2.07518i | 0.633501 | − | 0.230575i | ||||
\(82\) | 0.626586 | − | 0.361760i | 0.0691949 | − | 0.0399497i | ||||
\(83\) | −11.8068 | + | 2.08186i | −1.29597 | + | 0.228514i | −0.778747 | − | 0.627338i | \(-0.784145\pi\) |
−0.517221 | + | 0.855852i | \(0.673033\pi\) | |||||||
\(84\) | 2.49289 | − | 4.31781i | 0.271996 | − | 0.471112i | ||||
\(85\) | −0.155637 | − | 0.266653i | −0.0168812 | − | 0.0289226i | ||||
\(86\) | −8.68713 | + | 7.28937i | −0.936758 | + | 0.786033i | ||||
\(87\) | 10.7756 | + | 1.90003i | 1.15526 | + | 0.203704i | ||||
\(88\) | 4.89915 | + | 2.82853i | 0.522251 | + | 0.301522i | ||||
\(89\) | 6.23421 | + | 2.26907i | 0.660825 | + | 0.240521i | 0.650593 | − | 0.759427i | \(-0.274521\pi\) |
0.0102326 | + | 0.999948i | \(0.496743\pi\) | |||||||
\(90\) | 1.63444 | + | 0.586156i | 0.172285 | + | 0.0617863i | ||||
\(91\) | −4.13758 | − | 23.4654i | −0.433736 | − | 2.45984i | ||||
\(92\) | 3.04502 | − | 3.62891i | 0.317465 | − | 0.378340i | ||||
\(93\) | −2.38919 | + | 2.84732i | −0.247747 | + | 0.295254i | ||||
\(94\) | 0.547349 | + | 3.10417i | 0.0564547 | + | 0.320170i | ||||
\(95\) | 2.36956 | − | 6.60730i | 0.243112 | − | 0.677895i | ||||
\(96\) | −1.40120 | − | 0.509997i | −0.143010 | − | 0.0520513i | ||||
\(97\) | 3.46305 | + | 1.99939i | 0.351619 | + | 0.203007i | 0.665398 | − | 0.746489i | \(-0.268262\pi\) |
−0.313779 | + | 0.949496i | \(0.601595\pi\) | |||||||
\(98\) | −4.11630 | − | 0.725815i | −0.415809 | − | 0.0733184i | ||||
\(99\) | 3.36513 | − | 2.82368i | 0.338208 | − | 0.283790i | ||||
\(100\) | −2.54082 | − | 4.30630i | −0.254082 | − | 0.430630i | ||||
\(101\) | −1.51494 | + | 2.62395i | −0.150742 | + | 0.261093i | −0.931500 | − | 0.363740i | \(-0.881500\pi\) |
0.780758 | + | 0.624833i | \(0.214833\pi\) | |||||||
\(102\) | 0.202764 | − | 0.0357527i | 0.0200766 | − | 0.00354005i | ||||
\(103\) | 3.10870 | − | 1.79481i | 0.306310 | − | 0.176848i | −0.338964 | − | 0.940799i | \(-0.610077\pi\) |
0.645274 | + | 0.763951i | \(0.276743\pi\) | |||||||
\(104\) | −6.69645 | + | 2.43731i | −0.656641 | + | 0.238998i | ||||
\(105\) | 0.0526875 | + | 11.1484i | 0.00514177 | + | 1.08797i | ||||
\(106\) | 4.79900 | − | 1.74669i | 0.466120 | − | 0.169654i | ||||
\(107\) | −3.60254 | − | 0.635224i | −0.348270 | − | 0.0614095i | −0.00322317 | − | 0.999995i | \(-0.501026\pi\) |
−0.345047 | + | 0.938585i | \(0.612137\pi\) | |||||||
\(108\) | −3.61973 | + | 4.31382i | −0.348309 | + | 0.415098i | ||||
\(109\) | −4.08455 | + | 3.42734i | −0.391229 | + | 0.328280i | −0.817092 | − | 0.576508i | \(-0.804415\pi\) |
0.425863 | + | 0.904788i | \(0.359971\pi\) | |||||||
\(110\) | −12.6494 | + | 0.0597812i | −1.20607 | + | 0.00569992i | ||||
\(111\) | −2.09096 | − | 8.82589i | −0.198465 | − | 0.837716i | ||||
\(112\) | 3.34362i | 0.315942i | ||||||||
\(113\) | −9.78768 | − | 11.6645i | −0.920748 | − | 1.09730i | −0.994981 | − | 0.100064i | \(-0.968095\pi\) |
0.0742331 | − | 0.997241i | \(-0.476349\pi\) | |||||||
\(114\) | 3.58576 | + | 3.00881i | 0.335837 | + | 0.281801i | ||||
\(115\) | −1.79008 | + | 10.4404i | −0.166926 | + | 0.973568i | ||||
\(116\) | −6.89540 | + | 2.50972i | −0.640221 | + | 0.233022i | ||||
\(117\) | 5.53371i | 0.511592i | ||||||||
\(118\) | −0.383059 | − | 1.05245i | −0.0352635 | − | 0.0968856i | ||||
\(119\) | −0.230839 | − | 0.399826i | −0.0211610 | − | 0.0366520i | ||||
\(120\) | 3.28084 | − | 0.594502i | 0.299499 | − | 0.0542703i | ||||
\(121\) | −10.5011 | + | 18.1885i | −0.954648 | + | 1.65350i | ||||
\(122\) | −8.41220 | + | 4.85679i | −0.761605 | + | 0.439713i | ||||
\(123\) | −0.693479 | − | 0.826456i | −0.0625289 | − | 0.0745191i | ||||
\(124\) | 0.432850 | − | 2.45481i | 0.0388711 | − | 0.220449i | ||||
\(125\) | 9.76074 | + | 5.45234i | 0.873027 | + | 0.487672i | ||||
\(126\) | 2.43983 | + | 0.888027i | 0.217358 | + | 0.0791117i | ||||
\(127\) | −3.44142 | + | 9.45523i | −0.305377 | + | 0.839016i | 0.688165 | + | 0.725554i | \(0.258416\pi\) |
−0.993542 | + | 0.113462i | \(0.963806\pi\) | |||||||
\(128\) | 0.984808 | − | 0.173648i | 0.0870455 | − | 0.0153485i | ||||
\(129\) | 12.9537 | + | 10.8694i | 1.14051 | + | 0.956998i | ||||
\(130\) | 10.1848 | − | 12.2550i | 0.893269 | − | 1.07483i | ||||
\(131\) | −2.34890 | − | 13.3213i | −0.205224 | − | 1.16389i | −0.897086 | − | 0.441856i | \(-0.854320\pi\) |
0.691862 | − | 0.722030i | \(-0.256791\pi\) | |||||||
\(132\) | 2.88508 | − | 7.92669i | 0.251114 | − | 0.689930i | ||||
\(133\) | 3.58988 | − | 9.86313i | 0.311282 | − | 0.855242i | ||||
\(134\) | 5.64648 | − | 9.77999i | 0.487781 | − | 0.844862i | ||||
\(135\) | 2.12794 | − | 12.4109i | 0.183144 | − | 1.06816i | ||||
\(136\) | −0.105774 | + | 0.0887545i | −0.00907000 | + | 0.00761064i | ||||
\(137\) | −16.0503 | + | 9.26667i | −1.37127 | + | 0.791705i | −0.991088 | − | 0.133206i | \(-0.957473\pi\) |
−0.380184 | + | 0.924911i | \(0.624139\pi\) | |||||||
\(138\) | −6.11742 | − | 3.53190i | −0.520750 | − | 0.300655i | ||||
\(139\) | −0.581335 | − | 3.29692i | −0.0493082 | − | 0.279641i | 0.950177 | − | 0.311709i | \(-0.100902\pi\) |
−0.999486 | + | 0.0320688i | \(0.989790\pi\) | |||||||
\(140\) | −3.76884 | − | 6.45716i | −0.318525 | − | 0.545729i | ||||
\(141\) | 4.41667 | − | 1.60754i | 0.371951 | − | 0.135379i | ||||
\(142\) | 12.2666i | 1.02939i | ||||||||
\(143\) | −13.7880 | − | 37.8822i | −1.15301 | − | 3.16787i | ||||
\(144\) | 0.134843 | − | 0.764731i | 0.0112369 | − | 0.0637276i | ||||
\(145\) | 10.4874 | − | 12.6190i | 0.870932 | − | 1.04795i | ||||
\(146\) | 1.15471 | − | 0.968921i | 0.0955649 | − | 0.0801885i | ||||
\(147\) | 6.23263i | 0.514059i | ||||||||
\(148\) | 4.17386 | + | 4.42481i | 0.343089 | + | 0.363717i | ||||
\(149\) | 6.77763 | 0.555245 | 0.277622 | − | 0.960690i | \(-0.410454\pi\) | ||||
0.277622 | + | 0.960690i | \(0.410454\pi\) | |||||||
\(150\) | −5.66581 | + | 4.84617i | −0.462612 | + | 0.395688i | ||||
\(151\) | 3.58050 | + | 3.00440i | 0.291377 | + | 0.244495i | 0.776745 | − | 0.629816i | \(-0.216870\pi\) |
−0.485367 | + | 0.874310i | \(0.661314\pi\) | |||||||
\(152\) | −3.09146 | − | 0.545107i | −0.250750 | − | 0.0442140i | ||||
\(153\) | 0.0366718 | + | 0.100755i | 0.00296474 | + | 0.00814555i | ||||
\(154\) | −18.9150 | −1.52422 | ||||||||
\(155\) | 1.93109 | + | 5.22860i | 0.155109 | + | 0.419971i | ||||
\(156\) | 5.31306 | + | 9.20249i | 0.425385 | + | 0.736789i | ||||
\(157\) | 0.992123 | − | 0.174938i | 0.0791800 | − | 0.0139616i | −0.133918 | − | 0.990992i | \(-0.542756\pi\) |
0.213098 | + | 0.977031i | \(0.431645\pi\) | |||||||
\(158\) | 2.51489 | + | 1.45197i | 0.200074 | + | 0.115513i | ||||
\(159\) | −3.80760 | − | 6.59495i | −0.301962 | − | 0.523014i | ||||
\(160\) | −1.70612 | + | 1.44540i | −0.134880 | + | 0.114269i | ||||
\(161\) | −2.75049 | + | 15.5988i | −0.216769 | + | 1.22936i | ||||
\(162\) | 5.25454 | + | 3.03371i | 0.412836 | + | 0.238351i | ||||
\(163\) | 0.269121 | − | 0.739404i | 0.0210792 | − | 0.0579146i | −0.928707 | − | 0.370815i | \(-0.879078\pi\) |
0.949786 | + | 0.312900i | \(0.101301\pi\) | |||||||
\(164\) | 0.679886 | + | 0.247458i | 0.0530902 | + | 0.0193232i | ||||
\(165\) | 3.36313 | + | 18.5599i | 0.261819 | + | 1.44489i | ||||
\(166\) | −9.18408 | − | 7.70636i | −0.712823 | − | 0.598130i | ||||
\(167\) | 11.1646 | − | 13.3055i | 0.863945 | − | 1.02961i | −0.135302 | − | 0.990804i | \(-0.543200\pi\) |
0.999247 | − | 0.0388049i | \(-0.0123551\pi\) | |||||||
\(168\) | 4.91003 | − | 0.865771i | 0.378817 | − | 0.0667957i | ||||
\(169\) | 35.5044 | + | 12.9225i | 2.73111 | + | 0.994041i | ||||
\(170\) | 0.104227 | − | 0.290627i | 0.00799382 | − | 0.0222900i | ||||
\(171\) | −1.21882 | + | 2.11106i | −0.0932054 | + | 0.161436i | ||||
\(172\) | −11.1680 | − | 1.96921i | −0.851549 | − | 0.150151i | ||||
\(173\) | 7.13241 | + | 8.50008i | 0.542267 | + | 0.646249i | 0.965694 | − | 0.259681i | \(-0.0836175\pi\) |
−0.423427 | + | 0.905930i | \(0.639173\pi\) | |||||||
\(174\) | 5.47090 | + | 9.47588i | 0.414748 | + | 0.718365i | ||||
\(175\) | 14.5567 | + | 8.22183i | 1.10038 | + | 0.621512i | ||||
\(176\) | 0.982337 | + | 5.57111i | 0.0740465 | + | 0.419938i | ||||
\(177\) | −1.44631 | + | 0.835026i | −0.108711 | + | 0.0627644i | ||||
\(178\) | 2.26907 | + | 6.23421i | 0.170074 | + | 0.467274i | ||||
\(179\) | 0.409033 | 0.0305725 | 0.0152863 | − | 0.999883i | \(-0.495134\pi\) | ||||
0.0152863 | + | 0.999883i | \(0.495134\pi\) | |||||||
\(180\) | 0.601578 | + | 1.62883i | 0.0448390 | + | 0.121406i | ||||
\(181\) | 2.31319 | − | 13.1188i | 0.171938 | − | 0.975111i | −0.769680 | − | 0.638430i | \(-0.779584\pi\) |
0.941619 | − | 0.336681i | \(-0.109305\pi\) | |||||||
\(182\) | 15.3159 | − | 18.2528i | 1.13529 | − | 1.35299i | ||||
\(183\) | 9.31027 | + | 11.0956i | 0.688235 | + | 0.820207i | ||||
\(184\) | 4.73720 | 0.349231 | ||||||||
\(185\) | −13.0480 | − | 3.84046i | −0.959310 | − | 0.282356i | ||||
\(186\) | −3.71692 | −0.272537 | ||||||||
\(187\) | −0.502089 | − | 0.598367i | −0.0367164 | − | 0.0437569i | ||||
\(188\) | −2.02610 | + | 2.41461i | −0.147769 | + | 0.176104i | ||||
\(189\) | 3.26961 | − | 18.5429i | 0.237829 | − | 1.34880i | ||||
\(190\) | 6.58461 | − | 2.43190i | 0.477698 | − | 0.176429i | ||||
\(191\) | 21.1703 | 1.53183 | 0.765914 | − | 0.642943i | \(-0.222287\pi\) | ||||
0.765914 | + | 0.642943i | \(0.222287\pi\) | |||||||
\(192\) | −0.509997 | − | 1.40120i | −0.0368059 | − | 0.101123i | ||||
\(193\) | 20.0713 | − | 11.5882i | 1.44476 | − | 0.834134i | 0.446600 | − | 0.894734i | \(-0.352635\pi\) |
0.998162 | + | 0.0606001i | \(0.0193014\pi\) | |||||||
\(194\) | 0.694381 | + | 3.93803i | 0.0498537 | + | 0.282734i | ||||
\(195\) | −20.6333 | − | 11.7830i | −1.47758 | − | 0.843797i | ||||
\(196\) | −2.08990 | − | 3.61981i | −0.149279 | − | 0.258558i | ||||
\(197\) | −11.1575 | − | 13.2970i | −0.794941 | − | 0.947374i | 0.204563 | − | 0.978853i | \(-0.434423\pi\) |
−0.999504 | + | 0.0314795i | \(0.989978\pi\) | |||||||
\(198\) | 4.32613 | + | 0.762813i | 0.307444 | + | 0.0542107i | ||||
\(199\) | −10.5716 | + | 18.3106i | −0.749404 | + | 1.29801i | 0.198705 | + | 0.980059i | \(0.436327\pi\) |
−0.948109 | + | 0.317946i | \(0.897007\pi\) | |||||||
\(200\) | 1.66562 | − | 4.71442i | 0.117777 | − | 0.333360i | ||||
\(201\) | −15.8237 | − | 5.75937i | −1.11612 | − | 0.406235i | ||||
\(202\) | −2.98385 | + | 0.526132i | −0.209943 | + | 0.0370186i | ||||
\(203\) | 15.7710 | − | 18.7951i | 1.10690 | − | 1.31916i | ||||
\(204\) | 0.157722 | + | 0.132345i | 0.0110428 | + | 0.00926598i | ||||
\(205\) | −1.59191 | + | 0.288461i | −0.111184 | + | 0.0201470i | ||||
\(206\) | 3.37314 | + | 1.22772i | 0.235018 | + | 0.0855395i | ||||
\(207\) | 1.25815 | − | 3.45673i | 0.0874472 | − | 0.240259i | ||||
\(208\) | −6.17149 | − | 3.56311i | −0.427916 | − | 0.247057i | ||||
\(209\) | 3.08370 | − | 17.4885i | 0.213304 | − | 1.20971i | ||||
\(210\) | −8.50631 | + | 7.20642i | −0.586991 | + | 0.497290i | ||||
\(211\) | 7.20646 | + | 12.4819i | 0.496113 | + | 0.859293i | 0.999990 | − | 0.00448258i | \(-0.00142685\pi\) |
−0.503877 | + | 0.863775i | \(0.668094\pi\) | |||||||
\(212\) | 4.42278 | + | 2.55350i | 0.303758 | + | 0.175375i | ||||
\(213\) | 18.0132 | − | 3.17621i | 1.23424 | − | 0.217630i | ||||
\(214\) | −1.82906 | − | 3.16802i | −0.125032 | − | 0.216561i | ||||
\(215\) | 23.7871 | − | 8.78531i | 1.62226 | − | 0.599153i | ||||
\(216\) | −5.63130 | −0.383161 | ||||||||
\(217\) | 2.85060 | + | 7.83195i | 0.193511 | + | 0.531667i | ||||
\(218\) | −5.25099 | − | 0.925892i | −0.355642 | − | 0.0627093i | ||||
\(219\) | −1.72183 | − | 1.44479i | −0.116351 | − | 0.0976297i | ||||
\(220\) | −8.17668 | − | 9.65159i | −0.551272 | − | 0.650710i | ||||
\(221\) | 0.983970 | 0.0661890 | ||||||||
\(222\) | 5.41698 | − | 7.27494i | 0.363564 | − | 0.488262i | ||||
\(223\) | − | 0.0356996i | − | 0.00239062i | −0.999999 | − | 0.00119531i | \(-0.999620\pi\) | ||
0.999999 | − | 0.00119531i | \(-0.000380479\pi\) | |||||||
\(224\) | −2.56136 | + | 2.14924i | −0.171138 | + | 0.143602i | ||||
\(225\) | −2.99773 | − | 2.46749i | −0.199849 | − | 0.164499i | ||||
\(226\) | 2.64413 | − | 14.9956i | 0.175885 | − | 0.997493i | ||||
\(227\) | 2.43716 | + | 6.69604i | 0.161760 | + | 0.444432i | 0.993920 | − | 0.110104i | \(-0.0351182\pi\) |
−0.832160 | + | 0.554535i | \(0.812896\pi\) | |||||||
\(228\) | 4.68088i | 0.309999i | ||||||||
\(229\) | −7.03299 | + | 2.55980i | −0.464753 | + | 0.169156i | −0.563774 | − | 0.825929i | \(-0.690651\pi\) |
0.0990209 | + | 0.995085i | \(0.468429\pi\) | |||||||
\(230\) | −9.14842 | + | 5.33965i | −0.603229 | + | 0.352086i | ||||
\(231\) | 4.89771 | + | 27.7763i | 0.322246 | + | 1.82755i | ||||
\(232\) | −6.35483 | − | 3.66896i | −0.417215 | − | 0.240879i | ||||
\(233\) | −11.0358 | + | 6.37154i | −0.722981 | + | 0.417413i | −0.815849 | − | 0.578265i | \(-0.803730\pi\) |
0.0928677 | + | 0.995678i | \(0.470397\pi\) | |||||||
\(234\) | −4.23907 | + | 3.55700i | −0.277117 | + | 0.232528i | ||||
\(235\) | 1.19109 | − | 6.94684i | 0.0776982 | − | 0.453162i | ||||
\(236\) | 0.559995 | − | 0.969940i | 0.0364526 | − | 0.0631377i | ||||
\(237\) | 1.48100 | − | 4.06902i | 0.0962015 | − | 0.264312i | ||||
\(238\) | 0.157903 | − | 0.433836i | 0.0102354 | − | 0.0281214i | ||||
\(239\) | −0.813870 | − | 4.61569i | −0.0526449 | − | 0.298564i | 0.947105 | − | 0.320924i | \(-0.103993\pi\) |
−0.999750 | + | 0.0223595i | \(0.992882\pi\) | |||||||
\(240\) | 2.56430 | + | 2.13113i | 0.165525 | + | 0.137564i | ||||
\(241\) | 6.20570 | + | 5.20720i | 0.399744 | + | 0.335425i | 0.820395 | − | 0.571798i | \(-0.193754\pi\) |
−0.420651 | + | 0.907223i | \(0.638198\pi\) | |||||||
\(242\) | −20.6832 | + | 3.64701i | −1.32957 | + | 0.234438i | ||||
\(243\) | −2.68369 | + | 7.37337i | −0.172159 | + | 0.473002i | ||||
\(244\) | −9.12777 | − | 3.32224i | −0.584346 | − | 0.212685i | ||||
\(245\) | 8.11615 | + | 4.63486i | 0.518522 | + | 0.296110i | ||||
\(246\) | 0.187342 | − | 1.06247i | 0.0119445 | − | 0.0677407i | ||||
\(247\) | 14.3793 | + | 17.1366i | 0.914934 | + | 1.09038i | ||||
\(248\) | 2.15873 | − | 1.24634i | 0.137079 | − | 0.0791427i | ||||
\(249\) | −8.93856 | + | 15.4820i | −0.566458 | + | 0.981135i | ||||
\(250\) | 2.09735 | + | 10.9819i | 0.132648 | + | 0.694553i | ||||
\(251\) | −13.2897 | − | 23.0184i | −0.838838 | − | 1.45291i | −0.890867 | − | 0.454265i | \(-0.849902\pi\) |
0.0520285 | − | 0.998646i | \(-0.483431\pi\) | |||||||
\(252\) | 0.888027 | + | 2.43983i | 0.0559404 | + | 0.153695i | ||||
\(253\) | 26.7986i | 1.68481i | ||||||||
\(254\) | −9.45523 | + | 3.44142i | −0.593274 | + | 0.215934i | ||||
\(255\) | −0.453766 | − | 0.0778019i | −0.0284159 | − | 0.00487214i | ||||
\(256\) | 0.766044 | + | 0.642788i | 0.0478778 | + | 0.0401742i | ||||
\(257\) | −9.29444 | − | 11.0767i | −0.579771 | − | 0.690944i | 0.393834 | − | 0.919181i | \(-0.371148\pi\) |
−0.973606 | + | 0.228237i | \(0.926704\pi\) | |||||||
\(258\) | 16.9098i | 1.05276i | ||||||||
\(259\) | −19.4835 | − | 5.83483i | −1.21065 | − | 0.362559i | ||||
\(260\) | 15.9345 | − | 0.0753067i | 0.988217 | − | 0.00467032i | ||||
\(261\) | −4.36500 | + | 3.66267i | −0.270187 | + | 0.226714i | ||||
\(262\) | 8.69485 | − | 10.3621i | 0.537170 | − | 0.640174i | ||||
\(263\) | 1.45171 | + | 0.255976i | 0.0895165 | + | 0.0157842i | 0.218227 | − | 0.975898i | \(-0.429973\pi\) |
−0.128710 | + | 0.991682i | \(0.541084\pi\) | |||||||
\(264\) | 7.92669 | − | 2.88508i | 0.487854 | − | 0.177564i | ||||
\(265\) | −11.4195 | + | 0.0539684i | −0.701491 | + | 0.00331525i | ||||
\(266\) | 9.86313 | − | 3.58988i | 0.604747 | − | 0.220110i | ||||
\(267\) | 8.56726 | − | 4.94631i | 0.524308 | − | 0.302709i | ||||
\(268\) | 11.1214 | − | 1.96100i | 0.679347 | − | 0.119787i | ||||
\(269\) | −6.84388 | + | 11.8539i | −0.417279 | + | 0.722748i | −0.995665 | − | 0.0930155i | \(-0.970349\pi\) |
0.578386 | + | 0.815763i | \(0.303683\pi\) | |||||||
\(270\) | 10.8751 | − | 6.34745i | 0.661837 | − | 0.386293i | ||||
\(271\) | 3.33551 | − | 2.79883i | 0.202618 | − | 0.170017i | −0.535833 | − | 0.844324i | \(-0.680002\pi\) |
0.738451 | + | 0.674308i | \(0.235558\pi\) | |||||||
\(272\) | −0.135980 | − | 0.0239769i | −0.00824499 | − | 0.00145381i | ||||
\(273\) | −30.7696 | − | 17.7649i | −1.86226 | − | 1.07518i | ||||
\(274\) | −17.4156 | − | 6.33877i | −1.05212 | − | 0.382939i | ||||
\(275\) | 26.6697 | + | 9.42248i | 1.60824 | + | 0.568197i | ||||
\(276\) | −1.22661 | − | 6.95648i | −0.0738335 | − | 0.418731i | ||||
\(277\) | −4.59741 | + | 5.47898i | −0.276232 | + | 0.329200i | −0.886267 | − | 0.463174i | \(-0.846711\pi\) |
0.610036 | + | 0.792374i | \(0.291155\pi\) | |||||||
\(278\) | 2.15191 | − | 2.56454i | 0.129063 | − | 0.153811i | ||||
\(279\) | −0.336120 | − | 1.90623i | −0.0201230 | − | 0.114123i | ||||
\(280\) | 2.52390 | − | 7.03768i | 0.150832 | − | 0.420582i | ||||
\(281\) | −22.0861 | − | 8.03867i | −1.31754 | − | 0.479547i | −0.414874 | − | 0.909879i | \(-0.636174\pi\) |
−0.902671 | + | 0.430332i | \(0.858397\pi\) | |||||||
\(282\) | 4.07043 | + | 2.35006i | 0.242390 | + | 0.139944i | ||||
\(283\) | −14.6716 | − | 2.58699i | −0.872134 | − | 0.153781i | −0.280370 | − | 0.959892i | \(-0.590457\pi\) |
−0.591764 | + | 0.806111i | \(0.701568\pi\) | |||||||
\(284\) | −9.39674 | + | 7.88480i | −0.557594 | + | 0.467877i | ||||
\(285\) | −5.27616 | − | 9.03965i | −0.312533 | − | 0.535463i | ||||
\(286\) | 20.1567 | − | 34.9124i | 1.19189 | − | 2.06442i | ||||
\(287\) | −2.38242 | + | 0.420085i | −0.140630 | + | 0.0247968i | ||||
\(288\) | 0.672493 | − | 0.388264i | 0.0396271 | − | 0.0228787i | ||||
\(289\) | −15.9569 | + | 5.80782i | −0.938639 | + | 0.341637i | ||||
\(290\) | 16.4079 | − | 0.0775440i | 0.963506 | − | 0.00455354i | ||||
\(291\) | 5.60311 | − | 2.03937i | 0.328460 | − | 0.119550i | ||||
\(292\) | 1.48447 | + | 0.261753i | 0.0868722 | + | 0.0153179i | ||||
\(293\) | −11.8507 | + | 14.1231i | −0.692325 | + | 0.825081i | −0.991635 | − | 0.129075i | \(-0.958799\pi\) |
0.299309 | + | 0.954156i | \(0.403244\pi\) | |||||||
\(294\) | −4.77447 | + | 4.00626i | −0.278453 | + | 0.233650i | ||||
\(295\) | 0.0118356 | + | 2.50435i | 0.000689093 | + | 0.145809i | ||||
\(296\) | −0.706693 | + | 6.04157i | −0.0410757 | + | 0.351159i | ||||
\(297\) | − | 31.8566i | − | 1.84851i | ||||||
\(298\) | 4.35657 | + | 5.19196i | 0.252370 | + | 0.300762i | ||||
\(299\) | −25.8604 | − | 21.6994i | −1.49554 | − | 1.25491i | ||||
\(300\) | −7.35430 | − | 1.22520i | −0.424600 | − | 0.0707372i | ||||
\(301\) | 35.6308 | − | 12.9685i | 2.05372 | − | 0.747495i | ||||
\(302\) | 4.67402i | 0.268959i | ||||||||
\(303\) | 1.54523 | + | 4.24548i | 0.0887710 | + | 0.243896i | ||||
\(304\) | −1.56957 | − | 2.71858i | −0.0900212 | − | 0.155921i | ||||
\(305\) | 21.3722 | − | 3.87272i | 1.22377 | − | 0.221751i | ||||
\(306\) | −0.0536106 | + | 0.0928562i | −0.00306471 | + | 0.00530824i | ||||
\(307\) | −5.71031 | + | 3.29685i | −0.325905 | + | 0.188161i | −0.654021 | − | 0.756476i | \(-0.726919\pi\) |
0.328117 | + | 0.944637i | \(0.393586\pi\) | |||||||
\(308\) | −12.1584 | − | 14.4898i | −0.692787 | − | 0.825631i | ||||
\(309\) | 0.929468 | − | 5.27128i | 0.0528756 | − | 0.299872i | ||||
\(310\) | −2.76406 | + | 4.84018i | −0.156988 | + | 0.274903i | ||||
\(311\) | −17.0333 | − | 6.19961i | −0.965870 | − | 0.351548i | −0.189539 | − | 0.981873i | \(-0.560699\pi\) |
−0.776331 | + | 0.630325i | \(0.782922\pi\) | |||||||
\(312\) | −3.63435 | + | 9.98529i | −0.205754 | + | 0.565306i | ||||
\(313\) | 5.11718 | − | 0.902298i | 0.289240 | − | 0.0510009i | −0.0271454 | − | 0.999631i | \(-0.508642\pi\) |
0.316386 | + | 0.948631i | \(0.397531\pi\) | |||||||
\(314\) | 0.771735 | + | 0.647562i | 0.0435515 | + | 0.0365441i | ||||
\(315\) | −4.46506 | − | 3.71081i | −0.251578 | − | 0.209081i | ||||
\(316\) | 0.504265 | + | 2.85983i | 0.0283671 | + | 0.160878i | ||||
\(317\) | −4.24029 | + | 11.6501i | −0.238158 | + | 0.654335i | 0.761820 | + | 0.647789i | \(0.224306\pi\) |
−0.999979 | + | 0.00654629i | \(0.997916\pi\) | |||||||
\(318\) | 2.60455 | − | 7.15594i | 0.146056 | − | 0.401285i | ||||
\(319\) | 20.7555 | − | 35.9496i | 1.16209 | − | 2.01279i | ||||
\(320\) | −2.20391 | − | 0.377878i | −0.123202 | − | 0.0211240i | ||||
\(321\) | −4.17856 | + | 3.50623i | −0.233224 | + | 0.195699i | ||||
\(322\) | −13.7173 | + | 7.91971i | −0.764437 | + | 0.441348i | ||||
\(323\) | 0.375375 | + | 0.216723i | 0.0208864 | + | 0.0120588i | ||||
\(324\) | 1.05360 | + | 5.97524i | 0.0585331 | + | 0.331958i | ||||
\(325\) | −30.6877 | + | 18.1064i | −1.70225 | + | 1.00436i | ||||
\(326\) | 0.739404 | − | 0.269121i | 0.0409518 | − | 0.0149052i | ||||
\(327\) | 7.95071i | 0.439675i | ||||||||
\(328\) | 0.247458 | + | 0.679886i | 0.0136636 | + | 0.0375404i | ||||
\(329\) | 1.83013 | − | 10.3792i | 0.100898 | − | 0.572222i | ||||
\(330\) | −12.0559 | + | 14.5064i | −0.663657 | + | 0.798550i | ||||
\(331\) | −15.8033 | + | 13.2605i | −0.868625 | + | 0.728863i | −0.963808 | − | 0.266597i | \(-0.914101\pi\) |
0.0951829 | + | 0.995460i | \(0.469656\pi\) | |||||||
\(332\) | − | 11.9890i | − | 0.657980i | ||||||
\(333\) | 4.22083 | + | 2.12024i | 0.231300 | + | 0.116189i | ||||
\(334\) | 17.3691 | 0.950394 | ||||||||
\(335\) | −19.2671 | + | 16.3228i | −1.05267 | + | 0.891809i | ||||
\(336\) | 3.81933 | + | 3.20480i | 0.208361 | + | 0.174836i | ||||
\(337\) | −14.2335 | − | 2.50976i | −0.775351 | − | 0.136715i | −0.228048 | − | 0.973650i | \(-0.573234\pi\) |
−0.547303 | + | 0.836935i | \(0.684345\pi\) | |||||||
\(338\) | 12.9225 | + | 35.5044i | 0.702893 | + | 1.93118i | ||||
\(339\) | −22.7054 | −1.23319 | ||||||||
\(340\) | 0.289628 | − | 0.106969i | 0.0157073 | − | 0.00580120i | ||||
\(341\) | 7.05062 | + | 12.2120i | 0.381812 | + | 0.661319i | ||||
\(342\) | −2.40060 | + | 0.423291i | −0.129810 | + | 0.0228890i | ||||
\(343\) | −8.16634 | − | 4.71484i | −0.440941 | − | 0.254577i | ||||
\(344\) | −5.67012 | − | 9.82094i | −0.305713 | − | 0.529510i | ||||
\(345\) | 10.2100 | + | 12.0516i | 0.549687 | + | 0.648839i | ||||
\(346\) | −1.92681 | + | 10.9275i | −0.103586 | + | 0.587465i | ||||
\(347\) | 13.7528 | + | 7.94018i | 0.738289 | + | 0.426251i | 0.821447 | − | 0.570285i | \(-0.193167\pi\) |
−0.0831581 | + | 0.996536i | \(0.526501\pi\) | |||||||
\(348\) | −3.74232 | + | 10.2819i | −0.200609 | + | 0.551170i | ||||
\(349\) | 7.76936 | + | 2.82781i | 0.415884 | + | 0.151369i | 0.541483 | − | 0.840712i | \(-0.317863\pi\) |
−0.125599 | + | 0.992081i | \(0.540085\pi\) | |||||||
\(350\) | 3.05855 | + | 16.4359i | 0.163487 | + | 0.878538i | ||||
\(351\) | 30.7413 | + | 25.7950i | 1.64085 | + | 1.37683i | ||||
\(352\) | −3.63628 | + | 4.33356i | −0.193815 | + | 0.230979i | ||||
\(353\) | −16.0844 | + | 2.83612i | −0.856088 | + | 0.150951i | −0.584432 | − | 0.811443i | \(-0.698683\pi\) |
−0.271657 | + | 0.962394i | \(0.587571\pi\) | |||||||
\(354\) | −1.56934 | − | 0.571192i | −0.0834093 | − | 0.0303585i | ||||
\(355\) | 9.25932 | − | 25.8188i | 0.491434 | − | 1.37032i | ||||
\(356\) | −3.31715 | + | 5.74548i | −0.175809 | + | 0.304510i | ||||
\(357\) | −0.677965 | − | 0.119544i | −0.0358817 | − | 0.00632691i | ||||
\(358\) | 0.262921 | + | 0.313337i | 0.0138958 | + | 0.0165604i | ||||
\(359\) | 8.50582 | + | 14.7325i | 0.448920 | + | 0.777553i | 0.998316 | − | 0.0580097i | \(-0.0184754\pi\) |
−0.549396 | + | 0.835562i | \(0.685142\pi\) | |||||||
\(360\) | −0.861069 | + | 1.50783i | −0.0453823 | + | 0.0794695i | ||||
\(361\) | −1.58814 | − | 9.00681i | −0.0835865 | − | 0.474042i | ||||
\(362\) | 11.5365 | − | 6.66058i | 0.606343 | − | 0.350072i | ||||
\(363\) | 10.7111 | + | 29.4285i | 0.562186 | + | 1.54459i | ||||
\(364\) | 23.8274 | 1.24889 | ||||||||
\(365\) | −3.16183 | + | 1.16777i | −0.165498 | + | 0.0611236i | ||||
\(366\) | −2.51516 | + | 14.2642i | −0.131469 | + | 0.745600i | ||||
\(367\) | −2.09436 | + | 2.49596i | −0.109324 | + | 0.130288i | −0.817932 | − | 0.575315i | \(-0.804879\pi\) |
0.708607 | + | 0.705603i | \(0.249324\pi\) | |||||||
\(368\) | 3.04502 | + | 3.62891i | 0.158732 | + | 0.189170i | ||||
\(369\) | 0.561833 | 0.0292479 | ||||||||
\(370\) | −5.44514 | − | 12.4640i | −0.283079 | − | 0.647971i | ||||
\(371\) | −17.0758 | −0.886534 | ||||||||
\(372\) | −2.38919 | − | 2.84732i | −0.123874 | − | 0.147627i | ||||
\(373\) | 0.0108459 | − | 0.0129257i | 0.000561581 | − | 0.000669266i | −0.765764 | − | 0.643122i | \(-0.777639\pi\) |
0.766325 | + | 0.642453i | \(0.222083\pi\) | |||||||
\(374\) | 0.135639 | − | 0.769245i | 0.00701371 | − | 0.0397767i | ||||
\(375\) | 15.5835 | − | 5.92347i | 0.804730 | − | 0.305887i | ||||
\(376\) | −3.15205 | −0.162555 | ||||||||
\(377\) | 17.8848 | + | 49.1381i | 0.921114 | + | 2.53074i | ||||
\(378\) | 16.3063 | − | 9.41446i | 0.838707 | − | 0.484228i | ||||
\(379\) | 2.92880 | + | 16.6100i | 0.150442 | + | 0.853200i | 0.962835 | + | 0.270090i | \(0.0870534\pi\) |
−0.812393 | + | 0.583111i | \(0.801835\pi\) | |||||||
\(380\) | 6.09545 | + | 3.48091i | 0.312690 | + | 0.178567i | ||||
\(381\) | 7.50191 | + | 12.9937i | 0.384335 | + | 0.665687i | ||||
\(382\) | 13.6080 | + | 16.2174i | 0.696246 | + | 0.829753i | ||||
\(383\) | 11.5857 | + | 2.04287i | 0.592001 | + | 0.104386i | 0.461619 | − | 0.887078i | \(-0.347269\pi\) |
0.130381 | + | 0.991464i | \(0.458380\pi\) | |||||||
\(384\) | 0.745565 | − | 1.29136i | 0.0380470 | − | 0.0658993i | ||||
\(385\) | 39.8125 | + | 14.2779i | 2.02903 | + | 0.727667i | ||||
\(386\) | 21.7786 | + | 7.92677i | 1.10850 | + | 0.403462i | ||||
\(387\) | −8.67224 | + | 1.52915i | −0.440835 | + | 0.0777311i | ||||
\(388\) | −2.57037 | + | 3.06325i | −0.130491 | + | 0.155513i | ||||
\(389\) | 9.86642 | + | 8.27891i | 0.500248 | + | 0.419758i | 0.857682 | − | 0.514181i | \(-0.171904\pi\) |
−0.357434 | + | 0.933938i | \(0.616348\pi\) | |||||||
\(390\) | −4.23655 | − | 23.3800i | −0.214526 | − | 1.18389i | ||||
\(391\) | −0.614654 | − | 0.223716i | −0.0310844 | − | 0.0113138i | ||||
\(392\) | 1.42958 | − | 3.92773i | 0.0722045 | − | 0.198380i | ||||
\(393\) | −17.4679 | − | 10.0851i | −0.881139 | − | 0.508726i | ||||
\(394\) | 3.01419 | − | 17.0943i | 0.151853 | − | 0.861200i | ||||
\(395\) | −4.19735 | − | 4.95447i | −0.211192 | − | 0.249286i | ||||
\(396\) | 2.19643 | + | 3.80433i | 0.110375 | + | 0.191175i | ||||
\(397\) | −20.8488 | − | 12.0370i | −1.04637 | − | 0.604122i | −0.124739 | − | 0.992190i | \(-0.539809\pi\) |
−0.921631 | + | 0.388068i | \(0.873143\pi\) | |||||||
\(398\) | −20.8221 | + | 3.67149i | −1.04372 | + | 0.184035i | ||||
\(399\) | −7.82555 | − | 13.5542i | −0.391767 | − | 0.678561i | ||||
\(400\) | 4.68209 | − | 1.75443i | 0.234104 | − | 0.0877217i | ||||
\(401\) | −37.6805 | −1.88168 | −0.940838 | − | 0.338857i | \(-0.889960\pi\) | ||||
−0.940838 | + | 0.338857i | \(0.889960\pi\) | |||||||
\(402\) | −5.75937 | − | 15.8237i | −0.287251 | − | 0.789217i | ||||
\(403\) | −17.4935 | − | 3.08458i | −0.871415 | − | 0.153654i | ||||
\(404\) | −2.32102 | − | 1.94757i | −0.115475 | − | 0.0968951i | ||||
\(405\) | −8.76982 | − | 10.3517i | −0.435776 | − | 0.514381i | ||||
\(406\) | 24.5352 | 1.21766 | ||||||||
\(407\) | −34.1775 | − | 3.99780i | −1.69412 | − | 0.198164i | ||||
\(408\) | 0.205892i | 0.0101932i | ||||||||
\(409\) | 17.3019 | − | 14.5180i | 0.855523 | − | 0.717869i | −0.105476 | − | 0.994422i | \(-0.533637\pi\) |
0.960999 | + | 0.276553i | \(0.0891921\pi\) | |||||||
\(410\) | −1.24424 | − | 1.03406i | −0.0614485 | − | 0.0510685i | ||||
\(411\) | −4.79888 | + | 27.2158i | −0.236711 | + | 1.34246i | ||||
\(412\) | 1.22772 | + | 3.37314i | 0.0604856 | + | 0.166183i | ||||
\(413\) | 3.74482i | 0.184271i | ||||||||
\(414\) | 3.45673 | − | 1.25815i | 0.169889 | − | 0.0618345i | ||||
\(415\) | 13.5136 | + | 23.1529i | 0.663359 | + | 1.13653i | ||||
\(416\) | −1.23745 | − | 7.01795i | −0.0606712 | − | 0.344084i | ||||
\(417\) | −4.32317 | − | 2.49599i | −0.211707 | − | 0.122229i | ||||
\(418\) | 15.3792 | − | 8.87917i | 0.752220 | − | 0.434294i | ||||
\(419\) | −19.6144 | + | 16.4585i | −0.958228 | + | 0.804049i | −0.980664 | − | 0.195699i | \(-0.937302\pi\) |
0.0224356 | + | 0.999748i | \(0.492858\pi\) | |||||||
\(420\) | −10.9882 | − | 1.88401i | −0.536169 | − | 0.0919305i | ||||
\(421\) | 8.31845 | − | 14.4080i | 0.405416 | − | 0.702202i | −0.588954 | − | 0.808167i | \(-0.700460\pi\) |
0.994370 | + | 0.105965i | \(0.0337933\pi\) | |||||||
\(422\) | −4.92951 | + | 13.5437i | −0.239965 | + | 0.659297i | ||||
\(423\) | −0.837149 | + | 2.30005i | −0.0407036 | + | 0.111832i | ||||
\(424\) | 0.886820 | + | 5.02940i | 0.0430678 | + | 0.244249i | ||||
\(425\) | −0.438754 | + | 0.533038i | −0.0212827 | + | 0.0258562i | ||||
\(426\) | 14.0118 | + | 11.7573i | 0.678872 | + | 0.569642i | ||||
\(427\) | 31.9851 | − | 5.63984i | 1.54787 | − | 0.272931i | ||||
\(428\) | 1.25115 | − | 3.43750i | 0.0604765 | − | 0.166158i | ||||
\(429\) | −56.4873 | − | 20.5597i | −2.72723 | − | 0.992632i | ||||
\(430\) | 22.0200 | + | 12.5749i | 1.06190 | + | 0.606414i | ||||
\(431\) | −1.34319 | + | 7.61758i | −0.0646990 | + | 0.366926i | 0.935218 | + | 0.354071i | \(0.115203\pi\) |
−0.999917 | + | 0.0128547i | \(0.995908\pi\) | |||||||
\(432\) | −3.61973 | − | 4.31382i | −0.174154 | − | 0.207549i | ||||
\(433\) | 22.0535 | − | 12.7326i | 1.05983 | − | 0.611891i | 0.134442 | − | 0.990921i | \(-0.457076\pi\) |
0.925384 | + | 0.379031i | \(0.123743\pi\) | |||||||
\(434\) | −4.16729 | + | 7.21796i | −0.200036 | + | 0.346473i | ||||
\(435\) | −4.36241 | − | 24.0746i | −0.209162 | − | 1.15429i | ||||
\(436\) | −2.66600 | − | 4.61764i | −0.127678 | − | 0.221145i | ||||
\(437\) | −5.08611 | − | 13.9740i | −0.243302 | − | 0.668465i | ||||
\(438\) | − | 2.24769i | − | 0.107399i | ||||||
\(439\) | −15.6477 | + | 5.69531i | −0.746826 | + | 0.271822i | −0.687269 | − | 0.726403i | \(-0.741191\pi\) |
−0.0595563 | + | 0.998225i | \(0.518969\pi\) | |||||||
\(440\) | 2.13768 | − | 12.4676i | 0.101910 | − | 0.594371i | ||||
\(441\) | −2.48638 | − | 2.08632i | −0.118399 | − | 0.0993485i | ||||
\(442\) | 0.632484 | + | 0.753765i | 0.0300842 | + | 0.0358529i | ||||
\(443\) | − | 2.22290i | − | 0.105613i | −0.998605 | − | 0.0528066i | \(-0.983183\pi\) | ||
0.998605 | − | 0.0528066i | \(-0.0168167\pi\) | |||||||
\(444\) | 9.05490 | − | 0.526595i | 0.429726 | − | 0.0249911i | ||||
\(445\) | −0.0701084 | − | 14.8346i | −0.00332346 | − | 0.703228i | ||||
\(446\) | 0.0273475 | − | 0.0229473i | 0.00129494 | − | 0.00108658i | ||||
\(447\) | 6.49622 | − | 7.74190i | 0.307261 | − | 0.366179i | ||||
\(448\) | −3.29282 | − | 0.580614i | −0.155571 | − | 0.0274314i | ||||
\(449\) | −22.0146 | + | 8.01265i | −1.03893 | + | 0.378140i | −0.804475 | − | 0.593986i | \(-0.797553\pi\) |
−0.234457 | + | 0.972127i | \(0.575331\pi\) | |||||||
\(450\) | −0.0366980 | − | 3.88247i | −0.00172996 | − | 0.183021i | ||||
\(451\) | −3.84615 | + | 1.39988i | −0.181108 | + | 0.0659180i | ||||
\(452\) | 13.1869 | − | 7.61347i | 0.620260 | − | 0.358107i | ||||
\(453\) | 6.86369 | − | 1.21025i | 0.322484 | − | 0.0568627i | ||||
\(454\) | −3.56289 | + | 6.17110i | −0.167215 | + | 0.289624i | ||||
\(455\) | −46.0151 | + | 26.8576i | −2.15722 | + | 1.25910i | ||||
\(456\) | −3.58576 | + | 3.00881i | −0.167919 | + | 0.140901i | ||||
\(457\) | 0.210195 | + | 0.0370631i | 0.00983251 | + | 0.00173374i | 0.178562 | − | 0.983929i | \(-0.442855\pi\) |
−0.168730 | + | 0.985662i | \(0.553967\pi\) | |||||||
\(458\) | −6.48164 | − | 3.74218i | −0.302867 | − | 0.174860i | ||||
\(459\) | 0.730663 | + | 0.265940i | 0.0341044 | + | 0.0124130i | ||||
\(460\) | −9.97090 | − | 3.57584i | −0.464896 | − | 0.166724i | ||||
\(461\) | −2.16113 | − | 12.2564i | −0.100654 | − | 0.570836i | −0.992868 | − | 0.119223i | \(-0.961960\pi\) |
0.892214 | − | 0.451613i | \(-0.149151\pi\) | |||||||
\(462\) | −18.1297 | + | 21.6061i | −0.843470 | + | 1.00521i | ||||
\(463\) | −13.1550 | + | 15.6775i | −0.611364 | + | 0.728595i | −0.979560 | − | 0.201153i | \(-0.935531\pi\) |
0.368196 | + | 0.929748i | \(0.379976\pi\) | |||||||
\(464\) | −1.27422 | − | 7.22645i | −0.0591541 | − | 0.335479i | ||||
\(465\) | 7.82339 | + | 2.80568i | 0.362801 | + | 0.130110i | ||||
\(466\) | −11.9746 | − | 4.35839i | −0.554712 | − | 0.201899i | ||||
\(467\) | 15.5660 | + | 8.98704i | 0.720309 | + | 0.415871i | 0.814866 | − | 0.579649i | \(-0.196810\pi\) |
−0.0945573 | + | 0.995519i | \(0.530144\pi\) | |||||||
\(468\) | −5.44964 | − | 0.960919i | −0.251910 | − | 0.0444185i | ||||
\(469\) | −28.9254 | + | 24.2713i | −1.33565 | + | 1.12074i | ||||
\(470\) | 6.08720 | − | 3.55291i | 0.280782 | − | 0.163884i | ||||
\(471\) | 0.751104 | − | 1.30095i | 0.0346090 | − | 0.0599446i | ||||
\(472\) | 1.10298 | − | 0.194484i | 0.0507686 | − | 0.00895187i | ||||
\(473\) | 55.5576 | − | 32.0762i | 2.55454 | − | 1.47487i | ||||
\(474\) | 4.06902 | − | 1.48100i | 0.186896 | − | 0.0680248i | ||||
\(475\) | −15.6950 | + | 0.148353i | −0.720138 | + | 0.00680691i | ||||
\(476\) | 0.433836 | − | 0.157903i | 0.0198849 | − | 0.00723749i | ||||
\(477\) | 3.90548 | + | 0.688641i | 0.178819 | + | 0.0315307i | ||||
\(478\) | 3.01268 | − | 3.59037i | 0.137797 | − | 0.164220i | ||||
\(479\) | 17.6053 | − | 14.7726i | 0.804407 | − | 0.674978i | −0.144859 | − | 0.989452i | \(-0.546273\pi\) |
0.949266 | + | 0.314475i | \(0.101828\pi\) | |||||||
\(480\) | 0.0157576 | + | 3.33423i | 0.000719233 | + | 0.152186i | ||||
\(481\) | 31.5321 | − | 29.7438i | 1.43774 | − | 1.35620i | ||||
\(482\) | 8.10096i | 0.368989i | ||||||||
\(483\) | 15.1818 | + | 18.0929i | 0.690794 | + | 0.823257i | ||||
\(484\) | −16.0887 | − | 13.5000i | −0.731303 | − | 0.613636i | ||||
\(485\) | 1.51105 | − | 8.81295i | 0.0686133 | − | 0.400175i | ||||
\(486\) | −7.37337 | + | 2.68369i | −0.334463 | + | 0.121735i | ||||
\(487\) | − | 1.94363i | − | 0.0880743i | −0.999030 | − | 0.0440372i | \(-0.985978\pi\) | ||
0.999030 | − | 0.0440372i | \(-0.0140220\pi\) | |||||||
\(488\) | −3.32224 | − | 9.12777i | −0.150391 | − | 0.413195i | ||||
\(489\) | −0.586654 | − | 1.01611i | −0.0265294 | − | 0.0459503i | ||||
\(490\) | 1.66645 | + | 9.19656i | 0.0752827 | + | 0.415458i | ||||
\(491\) | 5.05071 | − | 8.74808i | 0.227935 | − | 0.394795i | −0.729261 | − | 0.684236i | \(-0.760136\pi\) |
0.957196 | + | 0.289441i | \(0.0934692\pi\) | |||||||
\(492\) | 0.934322 | − | 0.539431i | 0.0421225 | − | 0.0243194i | ||||
\(493\) | 0.651274 | + | 0.776158i | 0.0293319 | + | 0.0349564i | ||||
\(494\) | −3.88455 | + | 22.0304i | −0.174774 | + | 0.991194i | ||||
\(495\) | −8.52986 | − | 4.87111i | −0.383389 | − | 0.218940i | ||||
\(496\) | 2.34236 | + | 0.852548i | 0.105175 | + | 0.0382805i | ||||
\(497\) | 14.0279 | − | 38.5413i | 0.629236 | − | 1.72881i | ||||
\(498\) | −17.6055 | + | 3.10433i | −0.788923 | + | 0.139108i | ||||
\(499\) | −25.2719 | − | 21.2056i | −1.13132 | − | 0.949294i | −0.132204 | − | 0.991223i | \(-0.542205\pi\) |
−0.999121 | + | 0.0419285i | \(0.986650\pi\) | |||||||
\(500\) | −7.06444 | + | 8.66566i | −0.315931 | + | 0.387540i | ||||
\(501\) | −4.49741 | − | 25.5061i | −0.200930 | − | 1.13953i | ||||
\(502\) | 9.09069 | − | 24.9765i | 0.405737 | − | 1.11475i | ||||
\(503\) | −6.91386 | + | 18.9957i | −0.308274 | + | 0.846976i | 0.684719 | + | 0.728807i | \(0.259925\pi\) |
−0.992993 | + | 0.118169i | \(0.962297\pi\) | |||||||
\(504\) | −1.29821 | + | 2.24856i | −0.0578268 | + | 0.100159i | ||||
\(505\) | 6.67757 | + | 1.14492i | 0.297148 | + | 0.0509484i | ||||
\(506\) | −20.5289 | + | 17.2258i | −0.912622 | + | 0.765781i | ||||
\(507\) | 48.7913 | − | 28.1697i | 2.16690 | − | 1.25106i | ||||
\(508\) | −8.71399 | − | 5.03102i | −0.386621 | − | 0.223216i | ||||
\(509\) | −1.51799 | − | 8.60895i | −0.0672837 | − | 0.381585i | −0.999791 | − | 0.0204343i | \(-0.993495\pi\) |
0.932507 | − | 0.361151i | \(-0.117616\pi\) | |||||||
\(510\) | −0.232076 | − | 0.397615i | −0.0102765 | − | 0.0176067i | ||||
\(511\) | −4.73613 | + | 1.72381i | −0.209514 | + | 0.0762569i | ||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | 6.04605 | + | 16.6114i | 0.266940 | + | 0.733411i | ||||
\(514\) | 2.51088 | − | 14.2399i | 0.110750 | − | 0.628095i | ||||
\(515\) | −6.17308 | − | 5.13031i | −0.272018 | − | 0.226068i | ||||
\(516\) | −12.9537 | + | 10.8694i | −0.570253 | + | 0.478499i | ||||
\(517\) | − | 17.8313i | − | 0.784222i | ||||||
\(518\) | −8.05402 | − | 18.6758i | −0.353873 | − | 0.820567i | ||||
\(519\) | 16.5457 | 0.726275 | ||||||||
\(520\) | 10.3002 | + | 12.1582i | 0.451694 | + | 0.533170i | ||||
\(521\) | 20.6943 | + | 17.3645i | 0.906632 | + | 0.760755i | 0.971475 | − | 0.237141i | \(-0.0762103\pi\) |
−0.0648433 | + | 0.997895i | \(0.520655\pi\) | |||||||
\(522\) | −5.61154 | − | 0.989466i | −0.245610 | − | 0.0433078i | ||||
\(523\) | −5.40489 | − | 14.8498i | −0.236339 | − | 0.649336i | −0.999993 | − | 0.00371069i | \(-0.998819\pi\) |
0.763654 | − | 0.645626i | \(-0.223403\pi\) | |||||||
\(524\) | 13.5268 | 0.590920 | ||||||||
\(525\) | 23.3439 | − | 8.74721i | 1.01881 | − | 0.381760i | ||||
\(526\) | 0.737054 | + | 1.27662i | 0.0321371 | + | 0.0556631i | ||||
\(527\) | −0.338954 | + | 0.0597668i | −0.0147651 | + | 0.00260348i | ||||
\(528\) | 7.30528 | + | 4.21770i | 0.317921 | + | 0.183552i | ||||
\(529\) | −0.279451 | − | 0.484024i | −0.0121501 | − | 0.0210445i | ||||
\(530\) | −7.38162 | − | 8.71312i | −0.320637 | − | 0.378474i | ||||
\(531\) | 0.151023 | − | 0.856492i | 0.00655382 | − | 0.0371686i | ||||
\(532\) | 9.08991 | + | 5.24806i | 0.394097 | + | 0.227532i | ||||
\(533\) | 1.76344 | − | 4.84501i | 0.0763831 | − | 0.209861i | ||||
\(534\) | 9.29603 | + | 3.38348i | 0.402278 | + | 0.146417i | ||||
\(535\) | 1.45846 | + | 8.04871i | 0.0630547 | + | 0.347976i | ||||
\(536\) | 8.65091 | + | 7.25897i | 0.373662 | + | 0.313540i | ||||
\(537\) | 0.392050 | − | 0.467227i | 0.0169182 | − | 0.0201623i | ||||
\(538\) | −13.4798 | + | 2.37685i | −0.581156 | + | 0.102473i | ||||
\(539\) | 22.2194 | + | 8.08719i | 0.957056 | + | 0.348340i | ||||
\(540\) | 11.8528 | + | 4.25074i | 0.510063 | + | 0.182923i | ||||
\(541\) | 10.8447 | − | 18.7835i | 0.466249 | − | 0.807567i | −0.533008 | − | 0.846110i | \(-0.678938\pi\) |
0.999257 | + | 0.0385432i | \(0.0122717\pi\) | |||||||
\(542\) | 4.28805 | + | 0.756099i | 0.184188 | + | 0.0324772i | ||||
\(543\) | −12.7681 | − | 15.2164i | −0.547930 | − | 0.652998i | ||||
\(544\) | −0.0690388 | − | 0.119579i | −0.00296001 | − | 0.00512689i | ||||
\(545\) | 10.3534 | + | 5.91249i | 0.443492 | + | 0.253263i | ||||
\(546\) | −6.16967 | − | 34.9900i | −0.264038 | − | 1.49743i | ||||
\(547\) | 15.0366 | − | 8.68141i | 0.642920 | − | 0.371190i | −0.142818 | − | 0.989749i | \(-0.545616\pi\) |
0.785739 | + | 0.618559i | \(0.212283\pi\) | |||||||
\(548\) | −6.33877 | − | 17.4156i | −0.270779 | − | 0.743959i | ||||
\(549\) | −7.54287 | −0.321922 | ||||||||
\(550\) | 9.92492 | + | 26.4868i | 0.423200 | + | 1.12940i | ||||
\(551\) | −3.99996 | + | 22.6849i | −0.170404 | + | 0.966409i | ||||
\(552\) | 4.54052 | − | 5.41118i | 0.193257 | − | 0.230315i | ||||
\(553\) | −6.24127 | − | 7.43806i | −0.265406 | − | 0.316299i | ||||
\(554\) | −7.15230 | −0.303872 | ||||||||
\(555\) | −16.8931 | + | 11.2234i | −0.717073 | + | 0.476406i | ||||
\(556\) | 3.34778 | 0.141977 | ||||||||
\(557\) | 15.6215 | + | 18.6169i | 0.661903 | + | 0.788825i | 0.987657 | − | 0.156629i | \(-0.0500627\pi\) |
−0.325754 | + | 0.945454i | \(0.605618\pi\) | |||||||
\(558\) | 1.24420 | − | 1.48279i | 0.0526714 | − | 0.0627713i | ||||
\(559\) | −14.0330 | + | 79.5853i | −0.593534 | + | 3.36610i | ||||
\(560\) | 7.01351 | − | 2.59031i | 0.296375 | − | 0.109461i | ||||
\(561\) | −1.16474 | −0.0491754 | ||||||||
\(562\) | −8.03867 | − | 22.0861i | −0.339091 | − | 0.931645i | ||||
\(563\) | −13.8213 | + | 7.97975i | −0.582499 | + | 0.336306i | −0.762126 | − | 0.647429i | \(-0.775844\pi\) |
0.179627 | + | 0.983735i | \(0.442511\pi\) | |||||||
\(564\) | 0.816168 | + | 4.62872i | 0.0343669 | + | 0.194904i | ||||
\(565\) | −16.8847 | + | 29.5670i | −0.710344 | + | 1.24389i | ||||
\(566\) | −7.44895 | − | 12.9020i | −0.313103 | − | 0.542310i | ||||
\(567\) | −13.0403 | − | 15.5409i | −0.547642 | − | 0.652655i | ||||
\(568\) | −12.0802 | − | 2.13007i | −0.506875 | − | 0.0893757i | ||||
\(569\) | 11.2203 | − | 19.4342i | 0.470380 | − | 0.814722i | −0.529046 | − | 0.848593i | \(-0.677450\pi\) |
0.999426 | + | 0.0338710i | \(0.0107835\pi\) | |||||||
\(570\) | 3.53332 | − | 9.85235i | 0.147995 | − | 0.412670i | ||||
\(571\) | 11.5205 | + | 4.19311i | 0.482117 | + | 0.175476i | 0.571634 | − | 0.820509i | \(-0.306310\pi\) |
−0.0895164 | + | 0.995985i | \(0.528532\pi\) | |||||||
\(572\) | 39.7009 | − | 7.00035i | 1.65998 | − | 0.292699i | ||||
\(573\) | 20.2913 | − | 24.1822i | 0.847682 | − | 1.01023i | ||||
\(574\) | −1.85320 | − | 1.55502i | −0.0773509 | − | 0.0649051i | ||||
\(575\) | 23.2863 | − | 4.33332i | 0.971104 | − | 0.180712i | ||||
\(576\) | 0.729698 | + | 0.265588i | 0.0304041 | + | 0.0110662i | ||||
\(577\) | −7.13398 | + | 19.6004i | −0.296991 | + | 0.815977i | 0.698008 | + | 0.716090i | \(0.254070\pi\) |
−0.994999 | + | 0.0998864i | \(0.968152\pi\) | |||||||
\(578\) | −14.7059 | − | 8.49047i | −0.611686 | − | 0.353157i | ||||
\(579\) | 6.00109 | − | 34.0339i | 0.249397 | − | 1.41440i | ||||
\(580\) | 10.6062 | + | 12.5194i | 0.440399 | + | 0.519838i | ||||
\(581\) | 20.0433 | + | 34.7160i | 0.831536 | + | 1.44026i | ||||
\(582\) | 5.16386 | + | 2.98135i | 0.214049 | + | 0.123581i | ||||
\(583\) | −28.4516 | + | 5.01679i | −1.17835 | + | 0.207774i | ||||
\(584\) | 0.753687 | + | 1.30542i | 0.0311878 | + | 0.0540188i | ||||
\(585\) | 11.6074 | − | 4.28698i | 0.479907 | − | 0.177245i | ||||
\(586\) | −18.4364 | −0.761602 | ||||||||
\(587\) | 5.55602 | + | 15.2650i | 0.229321 | + | 0.630056i | 0.999974 | − | 0.00719995i | \(-0.00229184\pi\) |
−0.770653 | + | 0.637255i | \(0.780070\pi\) | |||||||
\(588\) | −6.13794 | − | 1.08229i | −0.253125 | − | 0.0446327i | ||||
\(589\) | −5.99422 | − | 5.02975i | −0.246988 | − | 0.207247i | ||||
\(590\) | −1.91083 | + | 1.61883i | −0.0786678 | + | 0.0666462i | ||||
\(591\) | −25.8831 | −1.06469 | ||||||||
\(592\) | −5.08237 | + | 3.34209i | −0.208884 | + | 0.137359i | ||||
\(593\) | 30.0756i | 1.23505i | 0.786549 | + | 0.617527i | \(0.211866\pi\) | ||||
−0.786549 | + | 0.617527i | \(0.788134\pi\) | |||||||
\(594\) | 24.4035 | − | 20.4770i | 1.00129 | − | 0.840182i | ||||
\(595\) | −0.659834 | + | 0.793950i | −0.0270506 | + | 0.0325488i | ||||
\(596\) | −1.17692 | + | 6.67466i | −0.0482086 | + | 0.273405i | ||||
\(597\) | 10.7830 | + | 29.6261i | 0.441319 | + | 1.21251i | ||||
\(598\) | − | 33.7583i | − | 1.38048i | ||||||
\(599\) | 24.9359 | − | 9.07593i | 1.01885 | − | 0.370833i | 0.222027 | − | 0.975040i | \(-0.428733\pi\) |
0.796827 | + | 0.604208i | \(0.206510\pi\) | |||||||
\(600\) | −3.78869 | − | 6.42126i | −0.154673 | − | 0.262147i | ||||
\(601\) | −3.10228 | − | 17.5939i | −0.126544 | − | 0.717669i | −0.980379 | − | 0.197124i | \(-0.936840\pi\) |
0.853834 | − | 0.520545i | \(-0.174271\pi\) | |||||||
\(602\) | 32.8375 | + | 18.9587i | 1.33836 | + | 0.772701i | ||||
\(603\) | 7.59444 | − | 4.38465i | 0.309269 | − | 0.178557i | ||||
\(604\) | −3.58050 | + | 3.00440i | −0.145689 | + | 0.122247i | ||||
\(605\) | 46.2870 | + | 7.93629i | 1.88184 | + | 0.322656i | ||||
\(606\) | −2.25897 | + | 3.91265i | −0.0917644 | + | 0.158941i | ||||
\(607\) | 0.856994 | − | 2.35457i | 0.0347843 | − | 0.0955691i | −0.921085 | − | 0.389362i | \(-0.872695\pi\) |
0.955869 | + | 0.293793i | \(0.0949177\pi\) | |||||||
\(608\) | 1.07365 | − | 2.94983i | 0.0435423 | − | 0.119632i | ||||
\(609\) | −6.35296 | − | 36.0295i | −0.257435 | − | 1.45999i | ||||
\(610\) | 16.7044 | + | 13.8827i | 0.676343 | + | 0.562094i | ||||
\(611\) | 17.2071 | + | 14.4384i | 0.696123 | + | 0.584117i | ||||
\(612\) | −0.105592 | + | 0.0186188i | −0.00426831 | + | 0.000752618i | ||||
\(613\) | −5.15650 | + | 14.1674i | −0.208269 | + | 0.572214i | −0.999213 | − | 0.0396746i | \(-0.987368\pi\) |
0.790944 | + | 0.611889i | \(0.209590\pi\) | |||||||
\(614\) | −6.19605 | − | 2.25518i | −0.250052 | − | 0.0910116i | ||||
\(615\) | −1.19632 | + | 2.09488i | −0.0482402 | + | 0.0844739i | ||||
\(616\) | 3.28456 | − | 18.6277i | 0.132339 | − | 0.750531i | ||||
\(617\) | −13.4625 | − | 16.0440i | −0.541979 | − | 0.645906i | 0.423651 | − | 0.905826i | \(-0.360748\pi\) |
−0.965630 | + | 0.259920i | \(0.916304\pi\) | |||||||
\(618\) | 4.63548 | − | 2.67630i | 0.186466 | − | 0.107656i | ||||
\(619\) | −8.92145 | + | 15.4524i | −0.358583 | + | 0.621085i | −0.987724 | − | 0.156206i | \(-0.950073\pi\) |
0.629141 | + | 0.777291i | \(0.283407\pi\) | |||||||
\(620\) | −5.48449 | + | 0.993812i | −0.220263 | + | 0.0399125i | ||||
\(621\) | −13.3383 | − | 23.1026i | −0.535248 | − | 0.927076i | ||||
\(622\) | −6.19961 | − | 17.0333i | −0.248582 | − | 0.682973i | ||||
\(623\) | − | 22.1826i | − | 0.888728i | ||||||
\(624\) | −9.98529 | + | 3.63435i | −0.399731 | + | 0.145490i | ||||
\(625\) | 3.87504 | − | 24.6979i | 0.155002 | − | 0.987914i | ||||
\(626\) | 3.98046 | + | 3.34001i | 0.159091 | + | 0.133493i | ||||
\(627\) | −17.0210 | − | 20.2849i | −0.679754 | − | 0.810099i | ||||
\(628\) | 1.00743i | 0.0402008i | ||||||||
\(629\) | 0.377009 | − | 0.750523i | 0.0150323 | − | 0.0299253i | ||||
\(630\) | −0.0274378 | − | 5.80570i | −0.00109315 | − | 0.231305i | ||||
\(631\) | 24.8139 | − | 20.8214i | 0.987828 | − | 0.828886i | 0.00257581 | − | 0.999997i | \(-0.499180\pi\) |
0.985252 | + | 0.171111i | \(0.0547356\pi\) | |||||||
\(632\) | −1.86662 | + | 2.22455i | −0.0742502 | + | 0.0884879i | ||||
\(633\) | 21.1650 | + | 3.73197i | 0.841235 | + | 0.148332i | ||||
\(634\) | −11.6501 | + | 4.24029i | −0.462685 | + | 0.168403i | ||||
\(635\) | 22.4992 | − | 0.106331i | 0.892852 | − | 0.00421963i | ||||
\(636\) | 7.15594 | − | 2.60455i | 0.283752 | − | 0.103277i | ||||
\(637\) | −25.7956 | + | 14.8931i | −1.02206 | + | 0.590086i | ||||
\(638\) | 40.8804 | − | 7.20832i | 1.61847 | − | 0.285380i | ||||
\(639\) | −4.76267 | + | 8.24919i | −0.188408 | + | 0.326333i | ||||
\(640\) | −1.12717 | − | 1.93119i | −0.0445554 | − | 0.0763368i | ||||
\(641\) | 23.5043 | − | 19.7225i | 0.928364 | − | 0.778990i | −0.0471587 | − | 0.998887i | \(-0.515017\pi\) |
0.975523 | + | 0.219897i | \(0.0705722\pi\) | |||||||
\(642\) | −5.37185 | − | 0.947203i | −0.212010 | − | 0.0373831i | ||||
\(643\) | −30.7826 | − | 17.7723i | −1.21395 | − | 0.700872i | −0.250330 | − | 0.968161i | \(-0.580539\pi\) |
−0.963617 | + | 0.267289i | \(0.913872\pi\) | |||||||
\(644\) | −14.8842 | − | 5.41740i | −0.586519 | − | 0.213475i | ||||
\(645\) | 12.7642 | − | 35.5919i | 0.502591 | − | 1.40143i | ||||
\(646\) | 0.0752671 | + | 0.426861i | 0.00296134 | + | 0.0167946i | ||||
\(647\) | 11.3726 | − | 13.5534i | 0.447104 | − | 0.532838i | −0.494672 | − | 0.869080i | \(-0.664712\pi\) |
0.941775 | + | 0.336242i | \(0.109156\pi\) | |||||||
\(648\) | −3.90006 | + | 4.64791i | −0.153209 | + | 0.182587i | ||||
\(649\) | 1.10021 | + | 6.23959i | 0.0431870 | + | 0.244925i | ||||
\(650\) | −33.5960 | − | 11.8695i | −1.31774 | − | 0.465562i | ||||
\(651\) | 11.6785 | + | 4.25061i | 0.457715 | + | 0.166595i | ||||
\(652\) | 0.681439 | + | 0.393429i | 0.0266872 | + | 0.0154079i | ||||
\(653\) | 22.2014 | + | 3.91471i | 0.868810 | + | 0.153195i | 0.590246 | − | 0.807223i | \(-0.299031\pi\) |
0.278564 | + | 0.960418i | \(0.410142\pi\) | |||||||
\(654\) | −6.09059 | + | 5.11062i | −0.238161 | + | 0.199841i | ||||
\(655\) | −26.1227 | + | 15.2470i | −1.02070 | + | 0.595751i | ||||
\(656\) | −0.361760 | + | 0.626586i | −0.0141243 | + | 0.0244641i | ||||
\(657\) | 1.15274 | − | 0.203258i | 0.0449725 | − | 0.00792986i | ||||
\(658\) | 9.12728 | − | 5.26964i | 0.355818 | − | 0.205432i | ||||
\(659\) | −0.951109 | + | 0.346176i | −0.0370500 | + | 0.0134851i | −0.360479 | − | 0.932767i | \(-0.617387\pi\) |
0.323429 | + | 0.946253i | \(0.395164\pi\) | |||||||
\(660\) | −18.8619 | + | 0.0891417i | −0.734200 | + | 0.00346983i | ||||
\(661\) | −44.5422 | + | 16.2120i | −1.73249 | + | 0.630575i | −0.998803 | − | 0.0489115i | \(-0.984425\pi\) |
−0.733688 | + | 0.679487i | \(0.762203\pi\) | |||||||
\(662\) | −20.3163 | − | 3.58231i | −0.789614 | − | 0.139230i | ||||
\(663\) | 0.943116 | − | 1.12396i | 0.0366276 | − | 0.0436511i | ||||
\(664\) | 9.18408 | − | 7.70636i | 0.356412 | − | 0.299065i | ||||
\(665\) | −23.4698 | + | 0.110918i | −0.910119 | + | 0.00430123i | ||||
\(666\) | 1.08890 | + | 4.59621i | 0.0421940 | + | 0.178100i | ||||
\(667\) | − | 34.7613i | − | 1.34596i | ||||||
\(668\) | 11.1646 | + | 13.3055i | 0.431972 | + | 0.514805i | ||||
\(669\) | −0.0407787 | − | 0.0342174i | −0.00157659 | − | 0.00132292i | ||||
\(670\) | −24.8886 | − | 4.26736i | −0.961532 | − | 0.164862i | ||||
\(671\) | 51.6363 | − | 18.7941i | 1.99340 | − | 0.725538i | ||||
\(672\) | 4.98578i | 0.192331i | ||||||||
\(673\) | 14.0556 | + | 38.6174i | 0.541803 | + | 1.48859i | 0.844527 | + | 0.535513i | \(0.179882\pi\) |
−0.302724 | + | 0.953078i | \(0.597896\pi\) | |||||||
\(674\) | −7.22656 | − | 12.5168i | −0.278357 | − | 0.482128i | ||||
\(675\) | −27.6813 | + | 5.15119i | −1.06545 | + | 0.198269i | ||||
\(676\) | −18.8915 | + | 32.7210i | −0.726596 | + | 1.25850i | ||||
\(677\) | −4.53682 | + | 2.61934i | −0.174364 | + | 0.100669i | −0.584642 | − | 0.811291i | \(-0.698765\pi\) |
0.410278 | + | 0.911961i | \(0.365432\pi\) | |||||||
\(678\) | −14.5947 | − | 17.3933i | −0.560507 | − | 0.667986i | ||||
\(679\) | 2.32175 | − | 13.1673i | 0.0891005 | − | 0.505314i | ||||
\(680\) | 0.268113 | + | 0.153110i | 0.0102816 | + | 0.00587150i | ||||
\(681\) | 9.98467 | + | 3.63412i | 0.382614 | + | 0.139260i | ||||
\(682\) | −4.82291 | + | 13.2508i | −0.184679 | + | 0.507401i | ||||
\(683\) | −7.74707 | + | 1.36602i | −0.296434 | + | 0.0522692i | −0.319887 | − | 0.947456i | \(-0.603645\pi\) |
0.0234535 | + | 0.999725i | \(0.492534\pi\) | |||||||
\(684\) | −1.86734 | − | 1.56688i | −0.0713995 | − | 0.0599113i | ||||
\(685\) | 31.8718 | + | 26.4879i | 1.21776 | + | 1.01205i | ||||
\(686\) | −1.63745 | − | 9.28641i | −0.0625180 | − | 0.354557i | ||||
\(687\) | −3.81700 | + | 10.4871i | −0.145628 | + | 0.400108i | ||||
\(688\) | 3.87859 | − | 10.6563i | 0.147870 | − | 0.406269i | ||||
\(689\) | 18.1968 | − | 31.5177i | 0.693242 | − | 1.20073i | ||||
\(690\) | −2.66925 | + | 15.5679i | −0.101617 | + | 0.592661i | ||||
\(691\) | −25.0725 | + | 21.0383i | −0.953802 | + | 0.800335i | −0.979934 | − | 0.199324i | \(-0.936125\pi\) |
0.0261319 | + | 0.999659i | \(0.491681\pi\) | |||||||
\(692\) | −9.60947 | + | 5.54803i | −0.365297 | + | 0.210904i | ||||
\(693\) | −12.7202 | − | 7.34404i | −0.483202 | − | 0.278977i | ||||
\(694\) | 2.75760 | + | 15.6391i | 0.104677 | + | 0.593652i | ||||
\(695\) | −6.46518 | + | 3.77352i | −0.245238 | + | 0.143138i | ||||
\(696\) | −10.2819 | + | 3.74232i | −0.389736 | + | 0.141852i | ||||
\(697\) | − | 0.0999018i | − | 0.00378405i | ||||||
\(698\) | 2.82781 | + | 7.76936i | 0.107034 | + | 0.294075i | ||||
\(699\) | −3.29959 | + | 18.7129i | −0.124802 | + | 0.707788i | ||||
\(700\) | −10.6247 | + | 12.9078i | −0.401575 | + | 0.487869i | ||||
\(701\) | −8.61383 | + | 7.22786i | −0.325340 | + | 0.272993i | −0.790798 | − | 0.612077i | \(-0.790334\pi\) |
0.465458 | + | 0.885070i | \(0.345890\pi\) | |||||||
\(702\) | 40.1299i | 1.51460i | ||||||||
\(703\) | 18.5804 | − | 4.40192i | 0.700772 | − | 0.166021i | ||||
\(704\) | −5.65705 | −0.213208 | ||||||||
\(705\) | −6.79354 | − | 8.01896i | −0.255860 | − | 0.302011i | ||||
\(706\) | −12.5115 | − | 10.4984i | −0.470876 | − | 0.395112i | ||||
\(707\) | 9.97685 | + | 1.75919i | 0.375218 | + | 0.0661611i | ||||
\(708\) | −0.571192 | − | 1.56934i | −0.0214667 | − | 0.0589793i | ||||
\(709\) | 40.3433 | 1.51512 | 0.757562 | − | 0.652764i | \(-0.226390\pi\) | ||||
0.757562 | + | 0.652764i | \(0.226390\pi\) | |||||||
\(710\) | 25.7301 | − | 9.50294i | 0.965633 | − | 0.356639i | ||||
\(711\) | 1.12750 | + | 1.95289i | 0.0422845 | + | 0.0732389i | ||||
\(712\) | −6.53352 | + | 1.15204i | −0.244854 | + | 0.0431744i | ||||
\(713\) | 10.2263 | + | 5.90417i | 0.382979 | + | 0.221113i | ||||
\(714\) | −0.344212 | − | 0.596192i | −0.0128818 | − | 0.0223119i | ||||
\(715\) | −68.7793 | + | 58.2688i | −2.57220 | + | 2.17913i | ||||
\(716\) | −0.0710278 | + | 0.402818i | −0.00265443 | + | 0.0150540i | ||||
\(717\) | −6.05245 | − | 3.49438i | −0.226033 | − | 0.130500i | ||||
\(718\) | −5.81833 | + | 15.9857i | −0.217138 | + | 0.596582i | ||||
\(719\) | −8.23089 | − | 2.99580i | −0.306961 | − | 0.111725i | 0.183947 | − | 0.982936i | \(-0.441113\pi\) |
−0.490908 | + | 0.871212i | \(0.663335\pi\) | |||||||
\(720\) | −1.70855 | + | 0.309596i | −0.0636738 | + | 0.0115379i | ||||
\(721\) | −9.19432 | − | 7.71495i | −0.342414 | − | 0.287320i | ||||
\(722\) | 5.87878 | − | 7.00605i | 0.218785 | − | 0.260738i | ||||
\(723\) | 11.8961 | − | 2.09760i | 0.442420 | − | 0.0780105i | ||||
\(724\) | 12.5178 | + | 4.55610i | 0.465220 | + | 0.169326i | ||||
\(725\) | −34.5940 | − | 12.2222i | −1.28479 | − | 0.453920i | ||||
\(726\) | −15.6586 | + | 27.1214i | −0.581144 | + | 1.00657i | ||||
\(727\) | 34.5223 | + | 6.08722i | 1.28036 | + | 0.225762i | 0.772134 | − | 0.635460i | \(-0.219189\pi\) |
0.508229 | + | 0.861222i | \(0.330300\pi\) | |||||||
\(728\) | 15.3159 | + | 18.2528i | 0.567646 | + | 0.676495i | ||||
\(729\) | 14.9513 | + | 25.8964i | 0.553751 | + | 0.959124i | ||||
\(730\) | −2.92695 | − | 1.67148i | −0.108331 | − | 0.0618643i | ||||
\(731\) | 0.271904 | + | 1.54204i | 0.0100567 | + | 0.0570346i | ||||
\(732\) | −12.5437 | + | 7.24211i | −0.463628 | + | 0.267676i | ||||
\(733\) | −15.6867 | − | 43.0988i | −0.579401 | − | 1.59189i | −0.789194 | − | 0.614144i | \(-0.789501\pi\) |
0.209793 | − | 0.977746i | \(-0.432721\pi\) | |||||||
\(734\) | −3.25824 | −0.120264 | ||||||||
\(735\) | 13.0734 | − | 4.82843i | 0.482221 | − | 0.178099i | ||||
\(736\) | −0.822607 | + | 4.66523i | −0.0303217 | + | 0.171963i | ||||
\(737\) | −41.0644 | + | 48.9386i | −1.51263 | + | 1.80268i | ||||
\(738\) | 0.361140 | + | 0.430389i | 0.0132937 | + | 0.0158428i | ||||
\(739\) | 30.1300 | 1.10835 | 0.554176 | − | 0.832400i | \(-0.313033\pi\) | ||||
0.554176 | + | 0.832400i | \(0.313033\pi\) | |||||||
\(740\) | 6.04788 | − | 12.1829i | 0.222325 | − | 0.447852i | ||||
\(741\) | 33.3570 | 1.22540 | ||||||||
\(742\) | −10.9761 | − | 13.0809i | −0.402947 | − | 0.480213i | ||||
\(743\) | 1.75996 | − | 2.09744i | 0.0645667 | − | 0.0769476i | −0.732794 | − | 0.680450i | \(-0.761784\pi\) |
0.797361 | + | 0.603503i | \(0.206229\pi\) | |||||||
\(744\) | 0.645436 | − | 3.66045i | 0.0236628 | − | 0.134199i | ||||
\(745\) | −5.25064 | − | 14.2166i | −0.192369 | − | 0.520856i | ||||
\(746\) | 0.0168733 | 0.000617774 | ||||||||
\(747\) | −3.18413 | − | 8.74833i | −0.116501 | − | 0.320085i | ||||
\(748\) | 0.676463 | − | 0.390556i | 0.0247339 | − | 0.0142801i | ||||
\(749\) | 2.12395 | + | 12.0455i | 0.0776074 | + | 0.440134i | ||||
\(750\) | 14.5545 | + | 8.13015i | 0.531457 | + | 0.296871i | ||||
\(751\) | −2.41852 | − | 4.18900i | −0.0882530 | − | 0.152859i | 0.818520 | − | 0.574478i | \(-0.194795\pi\) |
−0.906773 | + | 0.421620i | \(0.861462\pi\) | |||||||
\(752\) | −2.02610 | − | 2.41461i | −0.0738843 | − | 0.0880519i | ||||
\(753\) | −39.0312 | − | 6.88226i | −1.42238 | − | 0.250803i | ||||
\(754\) | −26.1458 | + | 45.2859i | −0.952175 | + | 1.64922i | ||||
\(755\) | 3.52814 | − | 9.83790i | 0.128402 | − | 0.358038i | ||||
\(756\) | 17.6934 | + | 6.43987i | 0.643503 | + | 0.234216i | ||||
\(757\) | −4.91644 | + | 0.866900i | −0.178691 | + | 0.0315080i | −0.262278 | − | 0.964992i | \(-0.584474\pi\) |
0.0835866 | + | 0.996501i | \(0.473362\pi\) | |||||||
\(758\) | −10.8414 | + | 12.9203i | −0.393779 | + | 0.469287i | ||||
\(759\) | 30.6113 | + | 25.6860i | 1.11112 | + | 0.932341i | ||||
\(760\) | 1.25155 | + | 6.90687i | 0.0453986 | + | 0.250539i | ||||
\(761\) | −5.83843 | − | 2.12501i | −0.211643 | − | 0.0770317i | 0.234023 | − | 0.972231i | \(-0.424811\pi\) |
−0.445666 | + | 0.895199i | \(0.647033\pi\) | |||||||
\(762\) | −5.13161 | + | 14.0990i | −0.185899 | + | 0.510752i | ||||
\(763\) | 15.4397 | + | 8.91409i | 0.558953 | + | 0.322712i | ||||
\(764\) | −3.67618 | + | 20.8487i | −0.133000 | + | 0.754278i | ||||
\(765\) | 0.182932 | − | 0.154977i | 0.00661391 | − | 0.00560320i | ||||
\(766\) | 5.88220 | + | 10.1883i | 0.212533 | + | 0.368117i | ||||
\(767\) | −6.91201 | − | 3.99065i | −0.249578 | − | 0.144094i | ||||
\(768\) | 1.46848 | − | 0.258932i | 0.0529891 | − | 0.00934341i | ||||
\(769\) | 18.0218 | + | 31.2147i | 0.649883 | + | 1.12563i | 0.983150 | + | 0.182798i | \(0.0585156\pi\) |
−0.333267 | + | 0.942832i | \(0.608151\pi\) | |||||||
\(770\) | 14.6535 | + | 39.6758i | 0.528076 | + | 1.42982i | ||||
\(771\) | −21.5611 | −0.776505 | ||||||||
\(772\) | 7.92677 | + | 21.7786i | 0.285291 | + | 0.783829i | ||||
\(773\) | −6.47064 | − | 1.14095i | −0.232733 | − | 0.0410371i | 0.0560653 | − | 0.998427i | \(-0.482145\pi\) |
−0.288798 | + | 0.957390i | \(0.593256\pi\) | |||||||
\(774\) | −6.74581 | − | 5.66040i | −0.242473 | − | 0.203459i | ||||
\(775\) | 9.47138 | − | 8.10121i | 0.340222 | − | 0.291004i | ||||
\(776\) | −3.99878 | −0.143548 | ||||||||
\(777\) | −25.3395 | + | 16.6629i | −0.909051 | + | 0.597779i | ||||
\(778\) | 12.8797i | 0.461760i | ||||||||
\(779\) | 1.73987 | − | 1.45992i | 0.0623372 | − | 0.0523071i | ||||
\(780\) | 15.1869 | − | 18.2738i | 0.543779 | − | 0.654305i | ||||
\(781\) | 12.0499 | − | 68.3384i | 0.431180 | − | 2.44534i | ||||
\(782\) | −0.223716 | − | 0.614654i | −0.00800006 | − | 0.0219800i | ||||
\(783\) | 41.3221i | 1.47673i | ||||||||
\(784\) | 3.92773 | − | 1.42958i | 0.140276 | − | 0.0510563i | ||||
\(785\) | −1.13555 | − | 1.94553i | −0.0405294 | − | 0.0694390i | ||||
\(786\) | −3.50252 | − | 19.8638i | −0.124931 | − | 0.708517i | ||||
\(787\) | −45.0032 | − | 25.9826i | −1.60419 | − | 0.926180i | −0.990636 | − | 0.136528i | \(-0.956406\pi\) |
−0.613555 | − | 0.789652i | \(-0.710261\pi\) | |||||||
\(788\) | 15.0325 | − | 8.67902i | 0.535511 | − | 0.309177i | ||||
\(789\) | 1.68383 | − | 1.41290i | 0.0599461 | − | 0.0503007i | ||||
\(790\) | 1.09734 | − | 6.40003i | 0.0390415 | − | 0.227703i | ||||
\(791\) | −25.4565 | + | 44.0920i | −0.905131 | + | 1.56773i | ||||
\(792\) | −1.50245 | + | 4.12794i | −0.0533872 | + | 0.146680i | ||||
\(793\) | −23.6750 | + | 65.0465i | −0.840724 | + | 2.30987i | ||||
\(794\) | −4.18042 | − | 23.7083i | −0.148358 | − | 0.841378i | ||||
\(795\) | −10.8837 | + | 13.0959i | −0.386004 | + | 0.464462i | ||||
\(796\) | −16.1967 | − | 13.5906i | −0.574077 | − | 0.481708i | ||||
\(797\) | −11.8659 | + | 2.09227i | −0.420311 | + | 0.0741122i | −0.379804 | − | 0.925067i | \(-0.624009\pi\) |
−0.0405073 | + | 0.999179i | \(0.512897\pi\) | |||||||
\(798\) | 5.35299 | − | 14.7072i | 0.189494 | − | 0.520630i | ||||
\(799\) | 0.408980 | + | 0.148857i | 0.0144687 | + | 0.00526617i | ||||
\(800\) | 4.35356 | + | 2.45896i | 0.153922 | + | 0.0869374i | ||||
\(801\) | −0.894589 | + | 5.07346i | −0.0316087 | + | 0.179262i | ||||
\(802\) | −24.2206 | − | 28.8650i | −0.855258 | − | 1.01926i | ||||
\(803\) | −7.38485 | + | 4.26365i | −0.260606 | + | 0.150461i | ||||
\(804\) | 8.41964 | − | 14.5832i | 0.296938 | − | 0.514311i | ||||
\(805\) | 34.8505 | − | 6.31504i | 1.22832 | − | 0.222576i | ||||
\(806\) | −8.88170 | − | 15.3836i | −0.312844 | − | 0.541863i | ||||
\(807\) | 6.98071 | + | 19.1793i | 0.245733 | + | 0.675145i | ||||
\(808\) | − | 3.02988i | − | 0.106591i | ||||||
\(809\) | −3.75547 | + | 1.36688i | −0.132035 | + | 0.0480569i | −0.407193 | − | 0.913342i | \(-0.633492\pi\) |
0.275157 | + | 0.961399i | \(0.411270\pi\) | |||||||
\(810\) | 2.29274 | − | 13.3720i | 0.0805588 | − | 0.469845i | ||||
\(811\) | −16.2167 | − | 13.6074i | −0.569445 | − | 0.477821i | 0.312017 | − | 0.950077i | \(-0.398996\pi\) |
−0.881462 | + | 0.472255i | \(0.843440\pi\) | |||||||
\(812\) | 15.7710 | + | 18.7951i | 0.553452 | + | 0.659578i | ||||
\(813\) | − | 6.49268i | − | 0.227708i | ||||||
\(814\) | −18.9064 | − | 28.7512i | −0.662668 | − | 1.00773i | ||||
\(815\) | −1.75945 | + | 0.00831516i | −0.0616307 | + | 0.000291267i | ||||
\(816\) | −0.157722 | + | 0.132345i | −0.00552138 | + | 0.00463299i | ||||
\(817\) | −22.8824 | + | 27.2702i | −0.800554 | + | 0.954064i | ||||
\(818\) | 22.2429 | + | 3.92202i | 0.777704 | + | 0.137130i | ||||
\(819\) | 17.3868 | − | 6.32827i | 0.607543 | − | 0.221128i | ||||
\(820\) | −0.00764583 | − | 1.61782i | −0.000267004 | − | 0.0564967i | ||||
\(821\) | 16.9428 | − | 6.16668i | 0.591308 | − | 0.215219i | −0.0289965 | − | 0.999580i | \(-0.509231\pi\) |
0.620305 | + | 0.784361i | \(0.287009\pi\) | |||||||
\(822\) | −23.9332 | + | 13.8178i | −0.834765 | + | 0.481952i | ||||
\(823\) | 26.1521 | − | 4.61132i | 0.911606 | − | 0.160741i | 0.301873 | − | 0.953348i | \(-0.402388\pi\) |
0.609732 | + | 0.792607i | \(0.291277\pi\) | |||||||
\(824\) | −1.79481 | + | 3.10870i | −0.0625252 | + | 0.108297i | ||||
\(825\) | 36.3254 | − | 21.4328i | 1.26469 | − | 0.746195i | ||||
\(826\) | −2.86870 | + | 2.40713i | −0.0998149 | + | 0.0837546i | ||||
\(827\) | 11.8800 | + | 2.09477i | 0.413109 | + | 0.0728423i | 0.376340 | − | 0.926482i | \(-0.377182\pi\) |
0.0367688 | + | 0.999324i | \(0.488293\pi\) | |||||||
\(828\) | 3.18574 | + | 1.83929i | 0.110712 | + | 0.0639196i | ||||
\(829\) | −17.1865 | − | 6.25536i | −0.596911 | − | 0.217258i | 0.0258555 | − | 0.999666i | \(-0.491769\pi\) |
−0.622766 | + | 0.782408i | \(0.713991\pi\) | |||||||
\(830\) | −9.04977 | + | 25.2345i | −0.314122 | + | 0.875901i | ||||
\(831\) | 1.85196 | + | 10.5030i | 0.0642438 | + | 0.364345i | ||||
\(832\) | 4.58064 | − | 5.45900i | 0.158805 | − | 0.189257i | ||||
\(833\) | −0.370976 | + | 0.442112i | −0.0128536 | + | 0.0153183i | ||||
\(834\) | −0.866847 | − | 4.91613i | −0.0300164 | − | 0.170232i | ||||
\(835\) | −36.5586 | − | 13.1109i | −1.26516 | − | 0.453721i | ||||
\(836\) | 16.6874 | + | 6.07371i | 0.577145 | + | 0.210064i | ||||
\(837\) | −12.1564 | − | 7.01852i | −0.420188 | − | 0.242596i | ||||
\(838\) | −25.2158 | − | 4.44623i | −0.871067 | − | 0.153593i | ||||
\(839\) | −7.30762 | + | 6.13182i | −0.252287 | + | 0.211694i | −0.760156 | − | 0.649740i | \(-0.774878\pi\) |
0.507869 | + | 0.861434i | \(0.330433\pi\) | |||||||
\(840\) | −5.61983 | − | 9.62846i | −0.193903 | − | 0.332214i | ||||
\(841\) | −12.4226 | + | 21.5165i | −0.428365 | + | 0.741950i | ||||
\(842\) | 16.3841 | − | 2.88897i | 0.564635 | − | 0.0995603i | ||||
\(843\) | −30.3514 | + | 17.5234i | −1.04536 | + | 0.603538i | ||||
\(844\) | −13.5437 | + | 4.92951i | −0.466194 | + | 0.169681i | ||||
\(845\) | −0.399274 | − | 84.4844i | −0.0137354 | − | 2.90635i | ||||
\(846\) | −2.30005 | + | 0.837149i | −0.0790773 | + | 0.0287818i | ||||
\(847\) | 69.1568 | + | 12.1942i | 2.37625 | + | 0.418998i | ||||
\(848\) | −3.28271 | + | 3.91218i | −0.112729 | + | 0.134345i | ||||
\(849\) | −17.0175 | + | 14.2794i | −0.584038 | + | 0.490066i | ||||
\(850\) | −0.690357 | + | 0.00652541i | −0.0236790 | + | 0.000223820i | ||||
\(851\) | −26.4597 | + | 11.4108i | −0.907025 | + | 0.391159i | ||||
\(852\) | 18.2911i | 0.626642i | ||||||||
\(853\) | −24.6011 | − | 29.3185i | −0.842326 | − | 1.00384i | −0.999867 | − | 0.0163324i | \(-0.994801\pi\) |
0.157541 | − | 0.987512i | \(-0.449643\pi\) | |||||||
\(854\) | 24.8800 | + | 20.8768i | 0.851376 | + | 0.714389i | ||||
\(855\) | 5.37233 | + | 0.921129i | 0.183730 | + | 0.0315020i | ||||
\(856\) | 3.43750 | − | 1.25115i | 0.117491 | − | 0.0427633i | ||||
\(857\) | − | 30.5434i | − | 1.04334i | −0.853146 | − | 0.521672i | \(-0.825308\pi\) | ||
0.853146 | − | 0.521672i | \(-0.174692\pi\) | |||||||
\(858\) | −20.5597 | − | 56.4873i | −0.701897 | − | 1.92845i | ||||
\(859\) | 20.3432 | + | 35.2354i | 0.694100 | + | 1.20222i | 0.970483 | + | 0.241169i | \(0.0775307\pi\) |
−0.276383 | + | 0.961047i | \(0.589136\pi\) | |||||||
\(860\) | 4.52126 | + | 24.9512i | 0.154174 | + | 0.850830i | ||||
\(861\) | −1.80365 | + | 3.12402i | −0.0614683 | + | 0.106466i | ||||
\(862\) | −6.69879 | + | 3.86755i | −0.228162 | + | 0.131729i | ||||
\(863\) | 18.1144 | + | 21.5879i | 0.616622 | + | 0.734862i | 0.980486 | − | 0.196591i | \(-0.0629870\pi\) |
−0.363863 | + | 0.931452i | \(0.618543\pi\) | |||||||
\(864\) | 0.977865 | − | 5.54575i | 0.0332676 | − | 0.188670i | ||||
\(865\) | 12.3041 | − | 21.5458i | 0.418351 | − | 0.732580i | ||||
\(866\) | 23.9295 | + | 8.70963i | 0.813158 | + | 0.295965i | ||||
\(867\) | −8.66022 | + | 23.7938i | −0.294117 | + | 0.808079i | ||||
\(868\) | −8.20796 | + | 1.44729i | −0.278596 | + | 0.0491241i | ||||
\(869\) | −12.5844 | − | 10.5596i | −0.426897 | − | 0.358209i | ||||
\(870\) | 15.6381 | − | 18.8166i | 0.530181 | − | 0.637944i | ||||
\(871\) | −13.9745 | − | 79.2534i | −0.473509 | − | 2.68540i | ||||
\(872\) | 1.82365 | − | 5.01044i | 0.0617566 | − | 0.169675i | ||||
\(873\) | −1.06203 | + | 2.91790i | −0.0359443 | + | 0.0987561i | ||||
\(874\) | 7.43539 | − | 12.8785i | 0.251506 | − | 0.435621i | ||||
\(875\) | 5.96887 | − | 36.9032i | 0.201784 | − | 1.24756i | ||||
\(876\) | 1.72183 | − | 1.44479i | 0.0581753 | − | 0.0488149i | ||||
\(877\) | 10.8101 | − | 6.24122i | 0.365032 | − | 0.210751i | −0.306254 | − | 0.951950i | \(-0.599076\pi\) |
0.671286 | + | 0.741199i | \(0.265742\pi\) | |||||||
\(878\) | −14.4210 | − | 8.32599i | −0.486686 | − | 0.280988i | ||||
\(879\) | 4.77378 | + | 27.0735i | 0.161016 | + | 0.913165i | ||||
\(880\) | 10.9248 | − | 6.37648i | 0.368276 | − | 0.214951i | ||||
\(881\) | 8.69980 | − | 3.16647i | 0.293104 | − | 0.106681i | −0.191283 | − | 0.981535i | \(-0.561265\pi\) |
0.484387 | + | 0.874854i | \(0.339043\pi\) | |||||||
\(882\) | − | 3.24574i | − | 0.109290i | ||||||
\(883\) | 15.9717 | + | 43.8819i | 0.537491 | + | 1.47674i | 0.849976 | + | 0.526821i | \(0.176616\pi\) |
−0.312485 | + | 0.949923i | \(0.601162\pi\) | |||||||
\(884\) | −0.170865 | + | 0.969022i | −0.00574680 | + | 0.0325917i | ||||
\(885\) | 2.87199 | + | 2.38685i | 0.0965409 | + | 0.0802330i | ||||
\(886\) | 1.70284 | − | 1.42885i | 0.0572080 | − | 0.0480032i | ||||
\(887\) | 31.5389i | 1.05897i | 0.848319 | + | 0.529486i | \(0.177615\pi\) | ||||
−0.848319 | + | 0.529486i | \(0.822385\pi\) | |||||||
\(888\) | 6.22377 | + | 6.59796i | 0.208856 | + | 0.221413i | ||||
\(889\) | 33.6437 | 1.12837 | ||||||||
\(890\) | 11.3189 | − | 9.58920i | 0.379410 | − | 0.321431i | ||||
\(891\) | −26.2935 | − | 22.0629i | −0.880865 | − | 0.739134i | ||||
\(892\) | 0.0351572 | + | 0.00619917i | 0.00117715 | + | 0.000207563i | ||||
\(893\) | 3.38421 | + | 9.29804i | 0.113248 | + | 0.311147i | ||||
\(894\) | 10.1063 | 0.338006 | ||||||||
\(895\) | −0.316878 | − | 0.857978i | −0.0105921 | − | 0.0286790i | ||||
\(896\) | −1.67181 | − | 2.89566i | −0.0558513 | − | 0.0967372i | ||||
\(897\) | −49.5734 | + | 8.74112i | −1.65521 | + | 0.291858i | ||||
\(898\) | −20.2887 | − | 11.7137i | −0.677044 | − | 0.390891i | ||||
\(899\) | −9.14556 | − | 15.8406i | −0.305021 | − | 0.528313i | ||||
\(900\) | 2.95055 | − | 2.52372i | 0.0983518 | − | 0.0841238i | ||||
\(901\) | 0.122450 | − | 0.694448i | 0.00407940 | − | 0.0231354i | ||||
\(902\) | −3.54463 | − | 2.04649i | −0.118023 | − | 0.0681408i | ||||
\(903\) | 19.3378 | − | 53.1302i | 0.643522 | − | 1.76806i | ||||
\(904\) | 14.3086 | + | 5.20792i | 0.475898 | + | 0.173213i | ||||
\(905\) | −29.3097 | + | 5.31104i | −0.974288 | + | 0.176545i | ||||
\(906\) | 5.33900 | + | 4.47995i | 0.177376 | + | 0.148836i | ||||
\(907\) | −2.39657 | + | 2.85612i | −0.0795769 | + | 0.0948360i | −0.804364 | − | 0.594137i | \(-0.797494\pi\) |
0.724787 | + | 0.688973i | \(0.241938\pi\) | |||||||
\(908\) | −7.01752 | + | 1.23738i | −0.232885 | + | 0.0410638i | ||||
\(909\) | −2.21089 | − | 0.804700i | −0.0733307 | − | 0.0266902i | ||||
\(910\) | −50.1520 | − | 17.9859i | −1.66252 | − | 0.596226i | ||||
\(911\) | 16.8105 | − | 29.1167i | 0.556958 | − | 0.964680i | −0.440790 | − | 0.897610i | \(-0.645302\pi\) |
0.997748 | − | 0.0670696i | \(-0.0213650\pi\) | |||||||
\(912\) | −4.60977 | − | 0.812826i | −0.152645 | − | 0.0269154i | ||||
\(913\) | 43.5953 | + | 51.9549i | 1.44279 | + | 1.71945i | ||||
\(914\) | 0.106719 | + | 0.184842i | 0.00352995 | + | 0.00611404i | ||||
\(915\) | 16.0611 | − | 28.1248i | 0.530964 | − | 0.929776i | ||||
\(916\) | −1.29964 | − | 7.37065i | −0.0429415 | − | 0.243533i | ||||
\(917\) | −39.1690 | + | 22.6142i | −1.29347 | + | 0.746787i | ||||
\(918\) | 0.265940 | + | 0.730663i | 0.00877732 | + | 0.0241155i | ||||
\(919\) | 45.6195 | 1.50485 | 0.752423 | − | 0.658680i | \(-0.228885\pi\) | ||||
0.752423 | + | 0.658680i | \(0.228885\pi\) | |||||||
\(920\) | −3.66992 | − | 9.93666i | −0.120994 | − | 0.327602i | ||||
\(921\) | −1.70732 | + | 9.68270i | −0.0562581 | + | 0.319056i | ||||
\(922\) | 7.99978 | − | 9.53376i | 0.263459 | − | 0.313978i | ||||
\(923\) | 56.1888 | + | 66.9632i | 1.84948 | + | 2.20412i | ||||
\(924\) | −28.2048 | −0.927870 | ||||||||
\(925\) | 2.05266 | + | 30.3445i | 0.0674910 | + | 0.997720i | ||||
\(926\) | −20.4655 | −0.672539 | ||||||||
\(927\) | 1.79173 | + | 2.13531i | 0.0588483 | + | 0.0701326i | ||||
\(928\) | 4.71673 | − | 5.62118i | 0.154834 | − | 0.184524i | ||||
\(929\) | 5.58306 | − | 31.6631i | 0.183174 | − | 1.03883i | −0.745105 | − | 0.666948i | \(-0.767600\pi\) |
0.928279 | − | 0.371885i | \(-0.121288\pi\) | |||||||
\(930\) | 2.87950 | + | 7.79652i | 0.0944226 | + | 0.255658i | ||||
\(931\) | −13.1210 | −0.430024 | ||||||||
\(932\) | −4.35839 | − | 11.9746i | −0.142764 | − | 0.392240i | ||||
\(933\) | −23.4077 | + | 13.5145i | −0.766335 | + | 0.442444i | ||||
\(934\) | 3.12117 | + | 17.7010i | 0.102128 | + | 0.579195i | ||||
\(935\) | −0.866151 | + | 1.51673i | −0.0283262 | + | 0.0496023i | ||||
\(936\) | −2.76686 | − | 4.79233i | −0.0904375 | − | 0.156642i | ||||
\(937\) | 5.12172 | + | 6.10383i | 0.167319 | + | 0.199403i | 0.843188 | − | 0.537618i | \(-0.180676\pi\) |
−0.675869 | + | 0.737022i | \(0.736231\pi\) | |||||||
\(938\) | −37.1857 | − | 6.55684i | −1.21416 | − | 0.214089i | ||||
\(939\) | 3.87405 | − | 6.71005i | 0.126425 | − | 0.218974i | ||||
\(940\) | 6.63447 | + | 2.37930i | 0.216392 | + | 0.0776043i | ||||
\(941\) | 49.2670 | + | 17.9317i | 1.60606 | + | 0.584557i | 0.980655 | − | 0.195745i | \(-0.0627125\pi\) |
0.625403 | + | 0.780302i | \(0.284935\pi\) | |||||||
\(942\) | 1.47939 | − | 0.260856i | 0.0482010 | − | 0.00849913i | ||||
\(943\) | −2.20313 | + | 2.62559i | −0.0717437 | + | 0.0855008i | ||||
\(944\) | 0.857963 | + | 0.719916i | 0.0279243 | + | 0.0234313i | ||||
\(945\) | −41.4281 | + | 7.50694i | −1.34766 | + | 0.244201i | ||||
\(946\) | 60.2835 | + | 21.9414i | 1.95999 | + | 0.713377i | ||||
\(947\) | −10.1012 | + | 27.7528i | −0.328245 | + | 0.901845i | 0.660311 | + | 0.750992i | \(0.270424\pi\) |
−0.988556 | + | 0.150853i | \(0.951798\pi\) | |||||||
\(948\) | 3.75003 | + | 2.16508i | 0.121795 | + | 0.0703186i | ||||
\(949\) | 1.86531 | − | 10.5787i | 0.0605504 | − | 0.343398i | ||||
\(950\) | −10.2022 | − | 11.9277i | −0.331004 | − | 0.386987i | ||||
\(951\) | 9.24336 | + | 16.0100i | 0.299736 | + | 0.519159i | ||||
\(952\) | 0.399826 | + | 0.230839i | 0.0129584 | + | 0.00748155i | ||||
\(953\) | 14.5538 | − | 2.56624i | 0.471445 | − | 0.0831285i | 0.0671222 | − | 0.997745i | \(-0.478618\pi\) |
0.404323 | + | 0.914616i | \(0.367507\pi\) | |||||||
\(954\) | 1.98286 | + | 3.43442i | 0.0641975 | + | 0.111193i | ||||
\(955\) | −16.4007 | − | 44.4063i | −0.530713 | − | 1.43696i | ||||
\(956\) | 4.68689 | 0.151585 | ||||||||
\(957\) | −21.1705 | − | 58.1655i | −0.684345 | − | 1.88022i | ||||
\(958\) | 22.6330 | + | 3.99080i | 0.731238 | + | 0.128937i | ||||
\(959\) | 47.4706 | + | 39.8325i | 1.53290 | + | 1.28626i | ||||
\(960\) | −2.54404 | + | 2.15527i | −0.0821086 | + | 0.0695612i | ||||
\(961\) | −24.7865 | −0.799566 | ||||||||
\(962\) | 43.0536 | + | 5.03605i | 1.38810 | + | 0.162369i | ||||
\(963\) | − | 2.84063i | − | 0.0915379i | ||||||
\(964\) | −6.20570 | + | 5.20720i | −0.199872 | + | 0.167713i | ||||
\(965\) | −39.8563 | − | 33.1237i | −1.28302 | − | 1.06629i | ||||
\(966\) | −4.10133 | + | 23.2598i | −0.131958 | + | 0.748372i | ||||
\(967\) | −15.2094 | − | 41.7875i | −0.489101 | − | 1.34380i | −0.901495 | − | 0.432789i | \(-0.857529\pi\) |
0.412394 | − | 0.911006i | \(-0.364693\pi\) | |||||||
\(968\) | − | 21.0023i | − | 0.675038i | ||||||
\(969\) | 0.607346 | − | 0.221056i | 0.0195108 | − | 0.00710134i | ||||
\(970\) | 7.72239 | − | 4.50732i | 0.247951 | − | 0.144721i | ||||
\(971\) | 0.733604 | + | 4.16047i | 0.0235425 | + | 0.133516i | 0.994314 | − | 0.106491i | \(-0.0339615\pi\) |
−0.970771 | + | 0.240007i | \(0.922850\pi\) | |||||||
\(972\) | −6.79534 | − | 3.92329i | −0.217961 | − | 0.125840i | ||||
\(973\) | −9.69402 | + | 5.59685i | −0.310776 | + | 0.179427i | ||||
\(974\) | 1.48891 | − | 1.24934i | 0.0477077 | − | 0.0400315i | ||||
\(975\) | −8.73107 | + | 52.4083i | −0.279618 | + | 1.67841i | ||||
\(976\) | 4.85679 | − | 8.41220i | 0.155462 | − | 0.269268i | ||||
\(977\) | 19.6111 | − | 53.8811i | 0.627416 | − | 1.72381i | −0.0606476 | − | 0.998159i | \(-0.519317\pi\) |
0.688063 | − | 0.725651i | \(-0.258461\pi\) | |||||||
\(978\) | 0.401295 | − | 1.10255i | 0.0128320 | − | 0.0352556i | ||||
\(979\) | −6.51713 | − | 36.9605i | −0.208288 | − | 1.18126i | ||||
\(980\) | −5.97380 | + | 7.18801i | −0.190826 | + | 0.229613i | ||||
\(981\) | −3.17177 | − | 2.66143i | −0.101267 | − | 0.0849729i | ||||
\(982\) | 9.94795 | − | 1.75409i | 0.317452 | − | 0.0559753i | ||||
\(983\) | 0.880608 | − | 2.41945i | 0.0280870 | − | 0.0771685i | −0.924857 | − | 0.380316i | \(-0.875815\pi\) |
0.952944 | + | 0.303147i | \(0.0980375\pi\) | |||||||
\(984\) | 1.01380 | + | 0.368993i | 0.0323187 | + | 0.0117631i | ||||
\(985\) | −19.2478 | + | 33.7050i | −0.613286 | + | 1.07393i | ||||
\(986\) | −0.175941 | + | 0.997810i | −0.00560310 | + | 0.0317767i | ||||
\(987\) | −10.1017 | − | 12.0387i | −0.321540 | − | 0.383197i | ||||
\(988\) | −19.3732 | + | 11.1851i | −0.616344 | + | 0.355846i | ||||
\(989\) | 26.8605 | − | 46.5238i | 0.854115 | − | 1.47937i | ||||
\(990\) | −1.75140 | − | 9.66534i | −0.0556631 | − | 0.307185i | ||||
\(991\) | −3.03231 | − | 5.25212i | −0.0963246 | − | 0.166839i | 0.813836 | − | 0.581095i | \(-0.197375\pi\) |
−0.910161 | + | 0.414255i | \(0.864042\pi\) | |||||||
\(992\) | 0.852548 | + | 2.34236i | 0.0270684 | + | 0.0743699i | ||||
\(993\) | 30.7616i | 0.976189i | ||||||||
\(994\) | 38.5413 | − | 14.0279i | 1.22245 | − | 0.444937i | ||||
\(995\) | 46.5979 | + | 7.98958i | 1.47725 | + | 0.253287i | ||||
\(996\) | −13.6947 | − | 11.4912i | −0.433932 | − | 0.364112i | ||||
\(997\) | 7.63996 | + | 9.10494i | 0.241960 | + | 0.288356i | 0.873334 | − | 0.487122i | \(-0.161953\pi\) |
−0.631374 | + | 0.775478i | \(0.717509\pi\) | |||||||
\(998\) | − | 32.9901i | − | 1.04428i | ||||||
\(999\) | 31.4536 | − | 13.5645i | 0.995149 | − | 0.429162i |
(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 | 370.2.x.a.49.16 | yes | 108 | |
5.4 | even | 2 | inner | 370.2.x.a.49.3 | ✓ | 108 | |
37.34 | even | 9 | inner | 370.2.x.a.219.3 | yes | 108 | |
185.34 | even | 18 | inner | 370.2.x.a.219.16 | yes | 108 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
370.2.x.a.49.3 | ✓ | 108 | 5.4 | even | 2 | inner | |
370.2.x.a.49.16 | yes | 108 | 1.1 | even | 1 | trivial | |
370.2.x.a.219.3 | yes | 108 | 37.34 | even | 9 | inner | |
370.2.x.a.219.16 | yes | 108 | 185.34 | even | 18 | inner |