Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(4,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([14, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.z (of order \(21\), degree \(12\), 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: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 142.8 | ||
Character | \(\chi\) | \(=\) | 441.142 |
Dual form | 441.2.z.a.382.8 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{4}{21}\right)\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.792223 | + | 2.01855i | −0.560186 | + | 1.42733i | 0.317575 | + | 0.948233i | \(0.397132\pi\) |
−0.877761 | + | 0.479098i | \(0.840964\pi\) | |||||||
\(3\) | 1.54796 | − | 0.777050i | 0.893718 | − | 0.448630i | ||||
\(4\) | −1.98083 | − | 1.83794i | −0.990415 | − | 0.918971i | ||||
\(5\) | −3.11465 | + | 1.49994i | −1.39292 | + | 0.670793i | −0.971711 | − | 0.236173i | \(-0.924107\pi\) |
−0.421204 | + | 0.906966i | \(0.638393\pi\) | |||||||
\(6\) | 0.342182 | + | 3.74024i | 0.139695 | + | 1.52695i | ||||
\(7\) | −0.809384 | − | 2.51891i | −0.305918 | − | 0.952058i | ||||
\(8\) | 1.37183 | − | 0.660638i | 0.485015 | − | 0.233571i | ||||
\(9\) | 1.79239 | − | 2.40569i | 0.597462 | − | 0.801897i | ||||
\(10\) | −0.560202 | − | 7.47538i | −0.177151 | − | 2.36392i | ||||
\(11\) | −2.48716 | − | 3.11879i | −0.749906 | − | 0.940352i | 0.249703 | − | 0.968322i | \(-0.419667\pi\) |
−0.999609 | + | 0.0279706i | \(0.991096\pi\) | |||||||
\(12\) | −4.49443 | − | 1.30586i | −1.29743 | − | 0.376971i | ||||
\(13\) | 1.79799 | − | 4.58121i | 0.498673 | − | 1.27060i | −0.431046 | − | 0.902330i | \(-0.641855\pi\) |
0.929719 | − | 0.368268i | \(-0.120049\pi\) | |||||||
\(14\) | 5.72576 | + | 0.361755i | 1.53027 | + | 0.0966831i | ||||
\(15\) | −3.65585 | + | 4.74209i | −0.943935 | + | 1.22440i | ||||
\(16\) | −0.157129 | − | 2.09674i | −0.0392823 | − | 0.524186i | ||||
\(17\) | 1.04587 | − | 0.970429i | 0.253662 | − | 0.235364i | −0.543084 | − | 0.839678i | \(-0.682743\pi\) |
0.796746 | + | 0.604315i | \(0.206553\pi\) | |||||||
\(18\) | 3.43604 | + | 5.52387i | 0.809882 | + | 1.30199i | ||||
\(19\) | −3.96382 | + | 6.86554i | −0.909363 | + | 1.57506i | −0.0944118 | + | 0.995533i | \(0.530097\pi\) |
−0.814951 | + | 0.579530i | \(0.803236\pi\) | |||||||
\(20\) | 8.92640 | + | 2.75343i | 1.99600 | + | 0.615685i | ||||
\(21\) | −3.21021 | − | 3.27025i | −0.700526 | − | 0.713627i | ||||
\(22\) | 8.26583 | − | 2.54967i | 1.76228 | − | 0.543592i | ||||
\(23\) | −0.312124 | + | 1.36750i | −0.0650823 | + | 0.285144i | −0.996988 | − | 0.0775566i | \(-0.975288\pi\) |
0.931906 | + | 0.362701i | \(0.118145\pi\) | |||||||
\(24\) | 1.61019 | − | 2.08862i | 0.328679 | − | 0.426339i | ||||
\(25\) | 4.33380 | − | 5.43442i | 0.866761 | − | 1.08688i | ||||
\(26\) | 7.82299 | + | 7.25868i | 1.53422 | + | 1.42354i | ||||
\(27\) | 0.905211 | − | 5.11670i | 0.174208 | − | 0.984709i | ||||
\(28\) | −3.02635 | + | 6.47713i | −0.571927 | + | 1.22406i | ||||
\(29\) | −4.98160 | − | 1.53662i | −0.925061 | − | 0.285343i | −0.204605 | − | 0.978845i | \(-0.565591\pi\) |
−0.720455 | + | 0.693501i | \(0.756067\pi\) | |||||||
\(30\) | −6.67591 | − | 11.1363i | −1.21885 | − | 2.03320i | ||||
\(31\) | 2.47614 | − | 4.28880i | 0.444728 | − | 0.770292i | −0.553305 | − | 0.832979i | \(-0.686634\pi\) |
0.998033 | + | 0.0626870i | \(0.0199670\pi\) | |||||||
\(32\) | 7.26681 | + | 2.24151i | 1.28460 | + | 0.396247i | ||||
\(33\) | −6.27349 | − | 2.89514i | −1.09207 | − | 0.503979i | ||||
\(34\) | 1.13030 | + | 2.87995i | 0.193844 | + | 0.493907i | ||||
\(35\) | 6.29916 | + | 6.63150i | 1.06475 | + | 1.12093i | ||||
\(36\) | −7.97193 | + | 1.47096i | −1.32866 | + | 0.245160i | ||||
\(37\) | −0.415656 | − | 0.128213i | −0.0683334 | − | 0.0210781i | 0.260400 | − | 0.965501i | \(-0.416146\pi\) |
−0.328733 | + | 0.944423i | \(0.606622\pi\) | |||||||
\(38\) | −10.7182 | − | 13.4402i | −1.73872 | − | 2.18029i | ||||
\(39\) | −0.776599 | − | 8.48867i | −0.124355 | − | 1.35928i | ||||
\(40\) | −3.28186 | + | 4.11532i | −0.518907 | + | 0.650689i | ||||
\(41\) | −5.50219 | − | 3.75133i | −0.859297 | − | 0.585859i | 0.0515186 | − | 0.998672i | \(-0.483594\pi\) |
−0.910816 | + | 0.412813i | \(0.864546\pi\) | |||||||
\(42\) | 9.14437 | − | 3.88922i | 1.41101 | − | 0.600119i | ||||
\(43\) | −3.04899 | + | 2.07876i | −0.464966 | + | 0.317009i | −0.773044 | − | 0.634353i | \(-0.781267\pi\) |
0.308078 | + | 0.951361i | \(0.400314\pi\) | |||||||
\(44\) | −0.805530 | + | 10.7490i | −0.121438 | + | 1.62048i | ||||
\(45\) | −1.97428 | + | 10.1814i | −0.294308 | + | 1.51775i | ||||
\(46\) | −2.51310 | − | 1.71341i | −0.370537 | − | 0.252628i | ||||
\(47\) | 1.49018 | − | 3.79693i | 0.217366 | − | 0.553839i | −0.780048 | − | 0.625720i | \(-0.784805\pi\) |
0.997413 | + | 0.0718816i | \(0.0229004\pi\) | |||||||
\(48\) | −1.87251 | − | 3.12359i | −0.270273 | − | 0.450851i | ||||
\(49\) | −5.68980 | + | 4.07753i | −0.812828 | + | 0.582504i | ||||
\(50\) | 7.53631 | + | 13.0533i | 1.06580 | + | 1.84601i | ||||
\(51\) | 0.864904 | − | 2.31489i | 0.121111 | − | 0.324149i | ||||
\(52\) | −11.9815 | + | 5.76999i | −1.66154 | + | 0.800153i | ||||
\(53\) | 2.33411 | − | 0.719976i | 0.320614 | − | 0.0988964i | −0.130271 | − | 0.991478i | \(-0.541585\pi\) |
0.450885 | + | 0.892582i | \(0.351108\pi\) | |||||||
\(54\) | 9.61119 | + | 5.88078i | 1.30792 | + | 0.800273i | ||||
\(55\) | 12.4246 | + | 5.98338i | 1.67534 | + | 0.806799i | ||||
\(56\) | −2.77442 | − | 2.92080i | −0.370748 | − | 0.390309i | ||||
\(57\) | −0.800988 | + | 13.7077i | −0.106093 | + | 1.81563i | ||||
\(58\) | 7.04829 | − | 8.83828i | 0.925486 | − | 1.16052i | ||||
\(59\) | 1.93962 | − | 1.32241i | 0.252517 | − | 0.172163i | −0.430446 | − | 0.902617i | \(-0.641644\pi\) |
0.682963 | + | 0.730453i | \(0.260691\pi\) | |||||||
\(60\) | 15.9573 | − | 2.67404i | 2.06008 | − | 0.345218i | ||||
\(61\) | 2.88825 | − | 2.67990i | 0.369802 | − | 0.343126i | −0.473279 | − | 0.880912i | \(-0.656930\pi\) |
0.843081 | + | 0.537786i | \(0.180739\pi\) | |||||||
\(62\) | 6.69551 | + | 8.39591i | 0.850331 | + | 1.06628i | ||||
\(63\) | −7.51044 | − | 2.56773i | −0.946227 | − | 0.323504i | ||||
\(64\) | −7.65961 | + | 9.60485i | −0.957452 | + | 1.20061i | ||||
\(65\) | 1.27141 | + | 16.9657i | 0.157699 | + | 2.10434i | ||||
\(66\) | 10.8140 | − | 10.3698i | 1.33111 | − | 1.27643i | ||||
\(67\) | −5.56769 | + | 9.64352i | −0.680201 | + | 1.17814i | 0.294718 | + | 0.955584i | \(0.404774\pi\) |
−0.974919 | + | 0.222559i | \(0.928559\pi\) | |||||||
\(68\) | −3.85529 | −0.467523 | ||||||||
\(69\) | 0.579462 | + | 2.35938i | 0.0697590 | + | 0.284036i | ||||
\(70\) | −18.3764 | + | 7.46154i | −2.19640 | + | 0.891825i | ||||
\(71\) | 2.11086 | − | 9.24828i | 0.250513 | − | 1.09757i | −0.680547 | − | 0.732704i | \(-0.738258\pi\) |
0.931060 | − | 0.364865i | \(-0.118885\pi\) | |||||||
\(72\) | 0.869558 | − | 4.48432i | 0.102478 | − | 0.528482i | ||||
\(73\) | −2.59675 | − | 0.391397i | −0.303926 | − | 0.0458095i | −0.00469145 | − | 0.999989i | \(-0.501493\pi\) |
−0.299235 | + | 0.954179i | \(0.596731\pi\) | |||||||
\(74\) | 0.588097 | − | 0.737450i | 0.0683648 | − | 0.0857268i | ||||
\(75\) | 2.48576 | − | 11.7799i | 0.287031 | − | 1.36022i | ||||
\(76\) | 20.4701 | − | 6.31419i | 2.34808 | − | 0.724288i | ||||
\(77\) | −5.84289 | + | 8.78922i | −0.665860 | + | 1.00162i | ||||
\(78\) | 17.7501 | + | 5.15732i | 2.00980 | + | 0.583951i | ||||
\(79\) | −6.24432 | − | 10.8155i | −0.702540 | − | 1.21684i | −0.967572 | − | 0.252596i | \(-0.918716\pi\) |
0.265032 | − | 0.964240i | \(-0.414618\pi\) | |||||||
\(80\) | 3.63439 | + | 6.29495i | 0.406337 | + | 0.703797i | ||||
\(81\) | −2.57469 | − | 8.62386i | −0.286077 | − | 0.958207i | ||||
\(82\) | 11.9312 | − | 8.13456i | 1.31758 | − | 0.898312i | ||||
\(83\) | 3.03611 | + | 7.73588i | 0.333256 | + | 0.849123i | 0.995044 | + | 0.0994319i | \(0.0317025\pi\) |
−0.661788 | + | 0.749691i | \(0.730202\pi\) | |||||||
\(84\) | 0.348361 | + | 12.3780i | 0.0380093 | + | 1.35055i | ||||
\(85\) | −1.80195 | + | 4.59130i | −0.195449 | + | 0.497996i | ||||
\(86\) | −1.78061 | − | 7.80138i | −0.192009 | − | 0.841245i | ||||
\(87\) | −8.90538 | + | 1.49232i | −0.954757 | + | 0.159993i | ||||
\(88\) | −5.47235 | − | 2.63534i | −0.583354 | − | 0.280929i | ||||
\(89\) | 3.08300 | + | 7.85535i | 0.326797 | + | 0.832665i | 0.995981 | + | 0.0895681i | \(0.0285487\pi\) |
−0.669184 | + | 0.743097i | \(0.733356\pi\) | |||||||
\(90\) | −18.9875 | − | 12.0511i | −2.00146 | − | 1.27030i | ||||
\(91\) | −12.9949 | − | 0.821021i | −1.36224 | − | 0.0860664i | ||||
\(92\) | 3.13165 | − | 2.13513i | 0.326498 | − | 0.222602i | ||||
\(93\) | 0.500366 | − | 8.56300i | 0.0518855 | − | 0.887942i | ||||
\(94\) | 6.48373 | + | 6.01603i | 0.668746 | + | 0.620506i | ||||
\(95\) | 2.04805 | − | 27.3293i | 0.210125 | − | 2.80392i | ||||
\(96\) | 12.9905 | − | 2.17689i | 1.32584 | − | 0.222178i | ||||
\(97\) | −5.57496 | + | 9.65612i | −0.566052 | + | 0.980430i | 0.430899 | + | 0.902400i | \(0.358196\pi\) |
−0.996951 | + | 0.0780303i | \(0.975137\pi\) | |||||||
\(98\) | −3.72311 | − | 14.7155i | −0.376091 | − | 1.48649i | ||||
\(99\) | −11.9608 | + | 0.393239i | −1.20211 | + | 0.0395220i | ||||
\(100\) | −18.5727 | + | 2.79938i | −1.85727 | + | 0.279938i | ||||
\(101\) | 6.48237 | − | 3.12175i | 0.645020 | − | 0.310625i | −0.0826234 | − | 0.996581i | \(-0.526330\pi\) |
0.727643 | + | 0.685956i | \(0.240616\pi\) | |||||||
\(102\) | 3.98752 | + | 3.57976i | 0.394823 | + | 0.354449i | ||||
\(103\) | 11.0027 | − | 5.29862i | 1.08413 | − | 0.522089i | 0.195494 | − | 0.980705i | \(-0.437369\pi\) |
0.888634 | + | 0.458616i | \(0.151655\pi\) | |||||||
\(104\) | −0.559983 | − | 7.47245i | −0.0549109 | − | 0.732734i | ||||
\(105\) | 14.9039 | + | 5.37057i | 1.45447 | + | 0.524114i | ||||
\(106\) | −0.395823 | + | 5.28190i | −0.0384458 | + | 0.513023i | ||||
\(107\) | −4.11674 | − | 10.4893i | −0.397980 | − | 1.01404i | −0.979668 | − | 0.200625i | \(-0.935703\pi\) |
0.581688 | − | 0.813412i | \(-0.302392\pi\) | |||||||
\(108\) | −11.1973 | + | 8.47158i | −1.07746 | + | 0.815178i | ||||
\(109\) | −4.25933 | + | 10.8526i | −0.407969 | + | 1.03949i | 0.568279 | + | 0.822836i | \(0.307609\pi\) |
−0.976249 | + | 0.216653i | \(0.930486\pi\) | |||||||
\(110\) | −21.9208 | + | 20.3396i | −2.09007 | + | 1.93930i | ||||
\(111\) | −0.743048 | + | 0.124516i | −0.0705270 | + | 0.0118186i | ||||
\(112\) | −5.15433 | + | 2.09286i | −0.487038 | + | 0.197757i | ||||
\(113\) | −19.7165 | − | 2.97178i | −1.85477 | − | 0.279562i | −0.875666 | − | 0.482917i | \(-0.839577\pi\) |
−0.979105 | + | 0.203356i | \(0.934815\pi\) | |||||||
\(114\) | −27.0351 | − | 12.4764i | −2.53207 | − | 1.16852i | ||||
\(115\) | −1.07901 | − | 4.72747i | −0.100619 | − | 0.440839i | ||||
\(116\) | 7.04349 | + | 12.1997i | 0.653971 | + | 1.13271i | ||||
\(117\) | −7.79827 | − | 12.5367i | −0.720950 | − | 1.15902i | ||||
\(118\) | 1.13274 | + | 4.96287i | 0.104277 | + | 0.456869i | ||||
\(119\) | −3.29094 | − | 1.84901i | −0.301680 | − | 0.169499i | ||||
\(120\) | −1.88239 | + | 8.92053i | −0.171838 | + | 0.814329i | ||||
\(121\) | −1.09321 | + | 4.78964i | −0.0993823 | + | 0.435422i | ||||
\(122\) | 3.12138 | + | 7.95315i | 0.282597 | + | 0.720044i | ||||
\(123\) | −11.4322 | − | 1.53145i | −1.03080 | − | 0.138086i | ||||
\(124\) | −12.7874 | + | 3.94438i | −1.14834 | + | 0.354216i | ||||
\(125\) | −1.50073 | + | 6.57512i | −0.134229 | + | 0.588096i | ||||
\(126\) | 11.1330 | − | 13.1260i | 0.991811 | − | 1.16936i | ||||
\(127\) | −1.12286 | − | 4.91956i | −0.0996375 | − | 0.436540i | −0.999999 | − | 0.00139766i | \(-0.999555\pi\) |
0.900362 | − | 0.435143i | \(-0.143302\pi\) | |||||||
\(128\) | −5.71511 | − | 9.89885i | −0.505149 | − | 0.874943i | ||||
\(129\) | −3.10442 | + | 5.58707i | −0.273329 | + | 0.491914i | ||||
\(130\) | −35.2535 | − | 10.8743i | −3.09193 | − | 0.953736i | ||||
\(131\) | 20.0128 | + | 9.63766i | 1.74853 | + | 0.842046i | 0.979119 | + | 0.203287i | \(0.0651625\pi\) |
0.769407 | + | 0.638759i | \(0.220552\pi\) | |||||||
\(132\) | 7.10561 | + | 17.2651i | 0.618464 | + | 1.50273i | ||||
\(133\) | 20.5019 | + | 4.42765i | 1.77774 | + | 0.383926i | ||||
\(134\) | −15.0551 | − | 18.8785i | −1.30056 | − | 1.63085i | ||||
\(135\) | 4.85531 | + | 17.2945i | 0.417879 | + | 1.48847i | ||||
\(136\) | 0.793658 | − | 2.02221i | 0.0680556 | − | 0.173403i | ||||
\(137\) | −10.0212 | − | 4.82596i | −0.856169 | − | 0.412309i | −0.0463053 | − | 0.998927i | \(-0.514745\pi\) |
−0.809864 | + | 0.586618i | \(0.800459\pi\) | |||||||
\(138\) | −5.22160 | − | 0.699484i | −0.444492 | − | 0.0595440i | ||||
\(139\) | 7.84940 | + | 5.35163i | 0.665778 | + | 0.453920i | 0.848465 | − | 0.529252i | \(-0.177527\pi\) |
−0.182687 | + | 0.983171i | \(0.558480\pi\) | |||||||
\(140\) | −0.289244 | − | 24.7134i | −0.0244456 | − | 2.08866i | ||||
\(141\) | −0.643649 | − | 7.03545i | −0.0542051 | − | 0.592492i | ||||
\(142\) | 16.9959 | + | 11.5876i | 1.42626 | + | 0.972409i | ||||
\(143\) | −18.7597 | + | 5.78661i | −1.56877 | + | 0.483901i | ||||
\(144\) | −5.32575 | − | 3.38017i | −0.443813 | − | 0.281681i | ||||
\(145\) | 17.8208 | − | 2.68605i | 1.47994 | − | 0.223065i | ||||
\(146\) | 2.84726 | − | 4.93160i | 0.235641 | − | 0.408142i | ||||
\(147\) | −5.63916 | + | 10.7331i | −0.465110 | + | 0.885253i | ||||
\(148\) | 0.587696 | + | 1.01792i | 0.0483083 | + | 0.0836724i | ||||
\(149\) | 6.32995 | + | 7.93751i | 0.518570 | + | 0.650266i | 0.970305 | − | 0.241886i | \(-0.0777661\pi\) |
−0.451735 | + | 0.892152i | \(0.649195\pi\) | |||||||
\(150\) | 21.8090 | + | 14.3499i | 1.78070 | + | 1.17167i | ||||
\(151\) | −0.498584 | + | 2.18444i | −0.0405742 | + | 0.177767i | −0.991155 | − | 0.132711i | \(-0.957632\pi\) |
0.950581 | + | 0.310478i | \(0.100489\pi\) | |||||||
\(152\) | −0.902048 | + | 12.0370i | −0.0731658 | + | 0.976329i | ||||
\(153\) | −0.459941 | − | 4.25543i | −0.0371840 | − | 0.344032i | ||||
\(154\) | −13.1126 | − | 18.7572i | −1.05664 | − | 1.51150i | ||||
\(155\) | −1.27938 | + | 17.0722i | −0.102763 | + | 1.37127i | ||||
\(156\) | −14.0634 | + | 18.2420i | −1.12597 | + | 1.46053i | ||||
\(157\) | 7.23388 | − | 4.93198i | 0.577327 | − | 0.393615i | −0.239159 | − | 0.970980i | \(-0.576872\pi\) |
0.816486 | + | 0.577366i | \(0.195919\pi\) | |||||||
\(158\) | 26.7785 | − | 4.03621i | 2.13038 | − | 0.321103i | ||||
\(159\) | 3.05366 | − | 2.92821i | 0.242171 | − | 0.232223i | ||||
\(160\) | −25.9957 | + | 3.91822i | −2.05514 | + | 0.309763i | ||||
\(161\) | 3.69724 | − | 0.320624i | 0.291384 | − | 0.0252687i | ||||
\(162\) | 19.4474 | + | 1.63487i | 1.52794 | + | 0.128447i | ||||
\(163\) | 10.9721 | − | 7.48063i | 0.859399 | − | 0.585928i | −0.0514464 | − | 0.998676i | \(-0.516383\pi\) |
0.910846 | + | 0.412747i | \(0.135431\pi\) | |||||||
\(164\) | 4.00417 | + | 17.5434i | 0.312673 | + | 1.36991i | ||||
\(165\) | 23.8823 | − | 0.392486i | 1.85923 | − | 0.0305550i | ||||
\(166\) | −18.0205 | −1.39867 | ||||||||
\(167\) | 12.1482 | − | 11.2719i | 0.940053 | − | 0.872242i | −0.0519249 | − | 0.998651i | \(-0.516536\pi\) |
0.991978 | + | 0.126409i | \(0.0403452\pi\) | |||||||
\(168\) | −6.56432 | − | 2.36543i | −0.506448 | − | 0.182497i | ||||
\(169\) | −8.22501 | − | 7.63170i | −0.632693 | − | 0.587054i | ||||
\(170\) | −7.84022 | − | 7.27466i | −0.601318 | − | 0.557941i | ||||
\(171\) | 9.41166 | + | 21.8414i | 0.719728 | + | 1.67026i | ||||
\(172\) | 9.86017 | + | 1.48618i | 0.751831 | + | 0.113320i | ||||
\(173\) | −18.7992 | + | 5.79879i | −1.42928 | + | 0.440874i | −0.910313 | − | 0.413921i | \(-0.864159\pi\) |
−0.518965 | + | 0.854795i | \(0.673683\pi\) | |||||||
\(174\) | 4.04272 | − | 19.1582i | 0.306478 | − | 1.45238i | ||||
\(175\) | −17.1965 | − | 6.51793i | −1.29993 | − | 0.492709i | ||||
\(176\) | −6.14851 | + | 5.70498i | −0.463461 | + | 0.430029i | ||||
\(177\) | 1.97488 | − | 3.55423i | 0.148441 | − | 0.267152i | ||||
\(178\) | −18.2988 | −1.37156 | ||||||||
\(179\) | 8.54155 | − | 7.92540i | 0.638425 | − | 0.592372i | −0.293085 | − | 0.956086i | \(-0.594682\pi\) |
0.931511 | + | 0.363714i | \(0.118491\pi\) | |||||||
\(180\) | 22.6235 | − | 16.5389i | 1.68625 | − | 1.23274i | ||||
\(181\) | 8.86996 | − | 11.1226i | 0.659299 | − | 0.826734i | −0.333968 | − | 0.942584i | \(-0.608388\pi\) |
0.993267 | + | 0.115850i | \(0.0369592\pi\) | |||||||
\(182\) | 11.9521 | − | 25.5805i | 0.885951 | − | 1.89615i | ||||
\(183\) | 2.38849 | − | 6.39270i | 0.176562 | − | 0.472562i | ||||
\(184\) | 0.475244 | + | 2.08218i | 0.0350355 | + | 0.153500i | ||||
\(185\) | 1.48694 | − | 0.224119i | 0.109322 | − | 0.0164776i | ||||
\(186\) | 16.8885 | + | 7.79382i | 1.23832 | + | 0.571471i | ||||
\(187\) | −5.62782 | − | 0.848257i | −0.411547 | − | 0.0620307i | ||||
\(188\) | −9.93033 | + | 4.78219i | −0.724244 | + | 0.348777i | ||||
\(189\) | −13.6212 | + | 1.86123i | −0.990793 | + | 0.135384i | ||||
\(190\) | 53.5430 | + | 25.7850i | 3.88442 | + | 1.87064i | ||||
\(191\) | −1.56367 | − | 1.06609i | −0.113143 | − | 0.0771398i | 0.505426 | − | 0.862870i | \(-0.331335\pi\) |
−0.618570 | + | 0.785730i | \(0.712288\pi\) | |||||||
\(192\) | −4.39336 | + | 20.8199i | −0.317064 | + | 1.50254i | ||||
\(193\) | −0.0803480 | + | 1.07217i | −0.00578358 | + | 0.0771765i | −0.999349 | − | 0.0360859i | \(-0.988511\pi\) |
0.993565 | + | 0.113262i | \(0.0361301\pi\) | |||||||
\(194\) | −15.0748 | − | 18.9032i | −1.08230 | − | 1.35717i | ||||
\(195\) | 15.1513 | + | 25.2744i | 1.08501 | + | 1.80994i | ||||
\(196\) | 18.7648 | + | 2.38063i | 1.34034 | + | 0.170045i | ||||
\(197\) | −5.22824 | −0.372496 | −0.186248 | − | 0.982503i | \(-0.559633\pi\) | ||||
−0.186248 | + | 0.982503i | \(0.559633\pi\) | |||||||
\(198\) | 8.68185 | − | 24.4550i | 0.616992 | − | 1.73794i | ||||
\(199\) | 16.5013 | + | 11.2504i | 1.16974 | + | 0.797518i | 0.982767 | − | 0.184847i | \(-0.0591789\pi\) |
0.186976 | + | 0.982364i | \(0.440131\pi\) | |||||||
\(200\) | 2.35505 | − | 10.3182i | 0.166528 | − | 0.729605i | ||||
\(201\) | −1.12509 | + | 19.2542i | −0.0793577 | + | 1.35809i | ||||
\(202\) | 1.16592 | + | 15.5581i | 0.0820338 | + | 1.09467i | ||||
\(203\) | 0.161420 | + | 13.7919i | 0.0113295 | + | 0.968003i | ||||
\(204\) | −5.96785 | + | 2.99575i | −0.417833 | + | 0.209745i | ||||
\(205\) | 22.7642 | + | 3.43115i | 1.58992 | + | 0.239642i | ||||
\(206\) | 1.97895 | + | 26.4072i | 0.137880 | + | 1.83988i | ||||
\(207\) | 2.73034 | + | 3.20197i | 0.189772 | + | 0.222552i | ||||
\(208\) | −9.88814 | − | 3.05009i | −0.685619 | − | 0.211485i | ||||
\(209\) | 31.2708 | − | 4.71332i | 2.16305 | − | 0.326027i | ||||
\(210\) | −22.6480 | + | 25.8296i | −1.56286 | + | 1.78241i | ||||
\(211\) | 20.2689 | + | 3.05504i | 1.39537 | + | 0.210318i | 0.803302 | − | 0.595572i | \(-0.203074\pi\) |
0.592066 | + | 0.805890i | \(0.298313\pi\) | |||||||
\(212\) | −5.94674 | − | 2.86380i | −0.408424 | − | 0.196687i | ||||
\(213\) | −3.91884 | − | 15.9563i | −0.268514 | − | 1.09330i | ||||
\(214\) | 24.4345 | 1.67031 | ||||||||
\(215\) | 6.37852 | − | 11.0479i | 0.435012 | − | 0.753462i | ||||
\(216\) | −2.13849 | − | 7.61725i | −0.145506 | − | 0.518288i | ||||
\(217\) | −12.8072 | − | 2.76589i | −0.869413 | − | 0.187761i | ||||
\(218\) | −18.5322 | − | 17.1953i | −1.25516 | − | 1.16462i | ||||
\(219\) | −4.32381 | + | 1.41193i | −0.292176 | + | 0.0954097i | ||||
\(220\) | −13.6140 | − | 34.6878i | −0.917853 | − | 2.33865i | ||||
\(221\) | −2.56527 | − | 6.53619i | −0.172558 | − | 0.439672i | ||||
\(222\) | 0.337317 | − | 1.59853i | 0.0226393 | − | 0.107286i | ||||
\(223\) | 9.95324 | + | 9.23526i | 0.666519 | + | 0.618439i | 0.939080 | − | 0.343700i | \(-0.111680\pi\) |
−0.272561 | + | 0.962138i | \(0.587871\pi\) | |||||||
\(224\) | −0.235468 | − | 20.1187i | −0.0157329 | − | 1.34423i | ||||
\(225\) | −5.30567 | − | 20.1664i | −0.353712 | − | 1.34443i | ||||
\(226\) | 21.6186 | − | 37.4444i | 1.43804 | − | 2.49077i | ||||
\(227\) | −18.5880 | −1.23373 | −0.616864 | − | 0.787070i | \(-0.711597\pi\) | ||||
−0.616864 | + | 0.787070i | \(0.711597\pi\) | |||||||
\(228\) | 26.7806 | − | 25.6804i | 1.77359 | − | 1.70073i | ||||
\(229\) | −11.3308 | − | 5.45661i | −0.748758 | − | 0.360583i | 0.0202729 | − | 0.999794i | \(-0.493547\pi\) |
−0.769031 | + | 0.639212i | \(0.779261\pi\) | |||||||
\(230\) | 10.3975 | + | 1.56716i | 0.685588 | + | 0.103336i | ||||
\(231\) | −2.21493 | + | 18.1456i | −0.145732 | + | 1.19389i | ||||
\(232\) | −7.84906 | + | 1.18306i | −0.515316 | + | 0.0776714i | ||||
\(233\) | −3.09574 | − | 0.954908i | −0.202808 | − | 0.0625581i | 0.191687 | − | 0.981456i | \(-0.438604\pi\) |
−0.394495 | + | 0.918898i | \(0.629080\pi\) | |||||||
\(234\) | 31.4840 | − | 5.80934i | 2.05817 | − | 0.379768i | ||||
\(235\) | 1.05375 | + | 14.0613i | 0.0687390 | + | 0.917258i | ||||
\(236\) | −6.27257 | − | 0.945438i | −0.408310 | − | 0.0615428i | ||||
\(237\) | −18.0701 | − | 11.8898i | −1.17378 | − | 0.772327i | ||||
\(238\) | 6.33948 | − | 5.17809i | 0.410927 | − | 0.335646i | ||||
\(239\) | −1.06308 | − | 14.1858i | −0.0687647 | − | 0.917601i | −0.919774 | − | 0.392450i | \(-0.871628\pi\) |
0.851009 | − | 0.525151i | \(-0.175991\pi\) | |||||||
\(240\) | 10.5174 | + | 6.92025i | 0.678895 | + | 0.446700i | ||||
\(241\) | 5.95918 | − | 26.1089i | 0.383865 | − | 1.68182i | −0.301377 | − | 0.953505i | \(-0.597446\pi\) |
0.685242 | − | 0.728315i | \(-0.259696\pi\) | |||||||
\(242\) | −8.80208 | − | 6.00116i | −0.565819 | − | 0.385769i | ||||
\(243\) | −10.6867 | − | 11.3488i | −0.685552 | − | 0.728023i | ||||
\(244\) | −10.6466 | −0.681580 | ||||||||
\(245\) | 11.6057 | − | 21.2344i | 0.741462 | − | 1.35662i | ||||
\(246\) | 12.1481 | − | 21.8631i | 0.774536 | − | 1.39394i | ||||
\(247\) | 24.3255 | + | 30.5033i | 1.54780 | + | 1.94088i | ||||
\(248\) | 0.563496 | − | 7.51934i | 0.0357821 | − | 0.477478i | ||||
\(249\) | 10.7109 | + | 9.61565i | 0.678779 | + | 0.609367i | ||||
\(250\) | −12.0833 | − | 8.23826i | −0.764215 | − | 0.521033i | ||||
\(251\) | 14.6358 | + | 7.04825i | 0.923806 | + | 0.444882i | 0.834429 | − | 0.551116i | \(-0.185798\pi\) |
0.0893779 | + | 0.995998i | \(0.471512\pi\) | |||||||
\(252\) | 10.1576 | + | 18.8900i | 0.639866 | + | 1.18996i | ||||
\(253\) | 5.04126 | − | 2.42774i | 0.316941 | − | 0.152631i | ||||
\(254\) | 10.8199 | + | 1.63084i | 0.678903 | + | 0.102328i | ||||
\(255\) | 0.778310 | + | 8.50737i | 0.0487397 | + | 0.532752i | ||||
\(256\) | 0.213280 | − | 0.0321468i | 0.0133300 | − | 0.00200918i | ||||
\(257\) | 2.74576 | + | 12.0299i | 0.171276 | + | 0.750407i | 0.985475 | + | 0.169822i | \(0.0543192\pi\) |
−0.814199 | + | 0.580586i | \(0.802824\pi\) | |||||||
\(258\) | −8.81839 | − | 10.6926i | −0.549009 | − | 0.665695i | ||||
\(259\) | 0.0134686 | + | 1.15077i | 0.000836898 | + | 0.0715055i | ||||
\(260\) | 28.6636 | − | 35.9430i | 1.77764 | − | 2.22909i | ||||
\(261\) | −12.6256 | + | 9.22998i | −0.781505 | + | 0.571321i | ||||
\(262\) | −35.3087 | + | 32.7617i | −2.18138 | + | 2.02402i | ||||
\(263\) | −16.7955 | −1.03566 | −0.517829 | − | 0.855484i | \(-0.673260\pi\) | ||||
−0.517829 | + | 0.855484i | \(0.673260\pi\) | |||||||
\(264\) | −10.5188 | + | 0.172868i | −0.647387 | + | 0.0106393i | ||||
\(265\) | −6.19001 | + | 5.74349i | −0.380249 | + | 0.352820i | ||||
\(266\) | −25.1795 | + | 37.8765i | −1.54386 | + | 2.32236i | ||||
\(267\) | 10.8764 | + | 9.76416i | 0.665623 | + | 0.597557i | ||||
\(268\) | 28.7529 | − | 8.86908i | 1.75636 | − | 0.541766i | ||||
\(269\) | −8.11982 | − | 1.22387i | −0.495074 | − | 0.0746204i | −0.103240 | − | 0.994656i | \(-0.532921\pi\) |
−0.391834 | + | 0.920036i | \(0.628159\pi\) | |||||||
\(270\) | −38.7563 | − | 3.90040i | −2.35864 | − | 0.237371i | ||||
\(271\) | 5.17934 | + | 4.80572i | 0.314622 | + | 0.291927i | 0.821638 | − | 0.570010i | \(-0.193061\pi\) |
−0.507015 | + | 0.861937i | \(0.669251\pi\) | |||||||
\(272\) | −2.19908 | − | 2.04045i | −0.133339 | − | 0.123720i | ||||
\(273\) | −20.7536 | + | 8.82678i | −1.25607 | + | 0.534221i | ||||
\(274\) | 17.6805 | − | 16.4051i | 1.06812 | − | 0.991067i | ||||
\(275\) | −27.7277 | −1.67204 | ||||||||
\(276\) | 3.18859 | − | 5.73855i | 0.191931 | − | 0.345420i | ||||
\(277\) | 3.15837 | + | 13.8377i | 0.189768 | + | 0.831428i | 0.976738 | + | 0.214437i | \(0.0687916\pi\) |
−0.786970 | + | 0.616992i | \(0.788351\pi\) | |||||||
\(278\) | −17.0210 | + | 11.6047i | −1.02085 | + | 0.696006i | ||||
\(279\) | −5.87933 | − | 13.6440i | −0.351986 | − | 0.816846i | ||||
\(280\) | 13.0224 | + | 4.93582i | 0.778236 | + | 0.294972i | ||||
\(281\) | 15.5252 | − | 2.34005i | 0.926156 | − | 0.139596i | 0.331389 | − | 0.943494i | \(-0.392483\pi\) |
0.594767 | + | 0.803899i | \(0.297245\pi\) | |||||||
\(282\) | 14.7113 | + | 4.27441i | 0.876048 | + | 0.254537i | ||||
\(283\) | 8.15710 | − | 1.22949i | 0.484889 | − | 0.0730853i | 0.0979517 | − | 0.995191i | \(-0.468771\pi\) |
0.386938 | + | 0.922106i | \(0.373533\pi\) | |||||||
\(284\) | −21.1791 | + | 14.4396i | −1.25675 | + | 0.856835i | ||||
\(285\) | −18.0659 | − | 43.8962i | −1.07013 | − | 2.60018i | ||||
\(286\) | 3.18132 | − | 42.4518i | 0.188115 | − | 2.51023i | ||||
\(287\) | −4.99587 | + | 16.8958i | −0.294897 | + | 0.997325i | ||||
\(288\) | 18.4173 | − | 13.4640i | 1.08525 | − | 0.793376i | ||||
\(289\) | −1.11829 | + | 14.9226i | −0.0657819 | + | 0.877798i | ||||
\(290\) | −8.69612 | + | 38.1002i | −0.510654 | + | 2.23732i | ||||
\(291\) | −1.12656 | + | 19.2794i | −0.0660401 | + | 1.13018i | ||||
\(292\) | 4.42435 | + | 5.54796i | 0.258916 | + | 0.324670i | ||||
\(293\) | 12.5891 | + | 21.8050i | 0.735465 | + | 1.27386i | 0.954519 | + | 0.298149i | \(0.0963694\pi\) |
−0.219055 | + | 0.975713i | \(0.570297\pi\) | |||||||
\(294\) | −17.1979 | − | 19.8860i | −1.00300 | − | 1.15977i | ||||
\(295\) | −4.05771 | + | 7.02816i | −0.236249 | + | 0.409196i | ||||
\(296\) | −0.654911 | + | 0.0987120i | −0.0380659 | + | 0.00573752i | ||||
\(297\) | −18.2093 | + | 9.90286i | −1.05661 | + | 0.574622i | ||||
\(298\) | −21.0370 | + | 6.48906i | −1.21864 | + | 0.375901i | ||||
\(299\) | 5.70362 | + | 3.88866i | 0.329849 | + | 0.224887i | ||||
\(300\) | −26.5746 | + | 18.7652i | −1.53428 | + | 1.08341i | ||||
\(301\) | 7.70402 | + | 5.99760i | 0.444052 | + | 0.345696i | ||||
\(302\) | −4.01442 | − | 2.73698i | −0.231004 | − | 0.157496i | ||||
\(303\) | 7.60873 | − | 9.86948i | 0.437110 | − | 0.566987i | ||||
\(304\) | 15.0181 | + | 7.23234i | 0.861348 | + | 0.414803i | ||||
\(305\) | −4.97620 | + | 12.6791i | −0.284936 | + | 0.726006i | ||||
\(306\) | 8.95419 | + | 2.44284i | 0.511877 | + | 0.139648i | ||||
\(307\) | −18.2211 | − | 22.8485i | −1.03993 | − | 1.30403i | −0.951400 | − | 0.307959i | \(-0.900354\pi\) |
−0.0885313 | − | 0.996073i | \(-0.528217\pi\) | |||||||
\(308\) | 27.7278 | − | 6.67104i | 1.57994 | − | 0.380118i | ||||
\(309\) | 12.9145 | − | 16.7517i | 0.734680 | − | 0.952972i | ||||
\(310\) | −33.4475 | − | 16.1075i | −1.89969 | − | 0.914844i | ||||
\(311\) | 2.99066 | + | 0.922495i | 0.169585 | + | 0.0523099i | 0.378385 | − | 0.925648i | \(-0.376480\pi\) |
−0.208800 | + | 0.977958i | \(0.566956\pi\) | |||||||
\(312\) | −6.67330 | − | 11.1320i | −0.377801 | − | 0.630223i | ||||
\(313\) | −2.72048 | − | 4.71201i | −0.153771 | − | 0.266338i | 0.778840 | − | 0.627222i | \(-0.215808\pi\) |
−0.932611 | + | 0.360884i | \(0.882475\pi\) | |||||||
\(314\) | 4.22460 | + | 18.5092i | 0.238408 | + | 1.04453i | ||||
\(315\) | 27.2439 | − | 3.26760i | 1.53502 | − | 0.184108i | ||||
\(316\) | −7.50928 | + | 32.9003i | −0.422430 | + | 1.85079i | ||||
\(317\) | −2.29368 | + | 0.707506i | −0.128826 | + | 0.0397375i | −0.358498 | − | 0.933531i | \(-0.616711\pi\) |
0.229672 | + | 0.973268i | \(0.426235\pi\) | |||||||
\(318\) | 3.49158 | + | 8.48376i | 0.195798 | + | 0.475746i | ||||
\(319\) | 7.59762 | + | 19.3584i | 0.425385 | + | 1.08386i | ||||
\(320\) | 9.45036 | − | 41.4047i | 0.528291 | − | 2.31460i | ||||
\(321\) | −14.5233 | − | 13.0381i | −0.810609 | − | 0.727717i | ||||
\(322\) | −2.28185 | + | 7.71708i | −0.127162 | + | 0.430056i | ||||
\(323\) | 2.51686 | + | 11.0271i | 0.140042 | + | 0.613564i | ||||
\(324\) | −10.7501 | + | 21.8145i | −0.597229 | + | 1.21192i | ||||
\(325\) | −17.1041 | − | 29.6251i | −0.948762 | − | 1.64330i | ||||
\(326\) | 6.40771 | + | 28.0740i | 0.354890 | + | 1.55488i | ||||
\(327\) | 1.83971 | + | 20.1091i | 0.101736 | + | 1.11204i | ||||
\(328\) | −10.0263 | − | 1.51123i | −0.553611 | − | 0.0834435i | ||||
\(329\) | −10.7702 | − | 0.680467i | −0.593783 | − | 0.0375153i | ||||
\(330\) | −18.1278 | + | 48.5185i | −0.997904 | + | 2.67086i | ||||
\(331\) | 11.5524 | − | 10.7190i | 0.634975 | − | 0.589171i | −0.295582 | − | 0.955317i | \(-0.595514\pi\) |
0.930557 | + | 0.366147i | \(0.119323\pi\) | |||||||
\(332\) | 8.20407 | − | 20.9036i | 0.450257 | − | 1.14724i | ||||
\(333\) | −1.05346 | + | 0.770132i | −0.0577291 | + | 0.0422030i | ||||
\(334\) | 13.1288 | + | 33.4515i | 0.718374 | + | 1.83039i | ||||
\(335\) | 2.87674 | − | 38.3874i | 0.157173 | − | 2.09733i | ||||
\(336\) | −6.35246 | + | 7.24485i | −0.346555 | + | 0.395239i | ||||
\(337\) | −1.25316 | − | 16.7223i | −0.0682642 | − | 0.910922i | −0.921246 | − | 0.388981i | \(-0.872827\pi\) |
0.852982 | − | 0.521941i | \(-0.174792\pi\) | |||||||
\(338\) | 21.9210 | − | 10.5566i | 1.19235 | − | 0.574204i | ||||
\(339\) | −32.8296 | + | 10.7205i | −1.78306 | + | 0.582256i | ||||
\(340\) | 12.0079 | − | 5.78270i | 0.651219 | − | 0.313611i | ||||
\(341\) | −19.5344 | + | 2.94434i | −1.05785 | + | 0.159445i | ||||
\(342\) | −51.5442 | + | 1.69463i | −2.78719 | + | 0.0916354i | ||||
\(343\) | 14.8761 | + | 11.0318i | 0.803236 | + | 0.595661i | ||||
\(344\) | −2.80938 | + | 4.86599i | −0.151472 | + | 0.262356i | ||||
\(345\) | −5.34375 | − | 6.47950i | −0.287698 | − | 0.348845i | ||||
\(346\) | 3.18802 | − | 42.5411i | 0.171389 | − | 2.28703i | ||||
\(347\) | −18.8887 | − | 17.5261i | −1.01400 | − | 0.940852i | −0.0157408 | − | 0.999876i | \(-0.505011\pi\) |
−0.998257 | + | 0.0590240i | \(0.981201\pi\) | |||||||
\(348\) | 20.3828 | + | 13.4115i | 1.09263 | + | 0.718933i | ||||
\(349\) | −7.28245 | + | 4.96509i | −0.389820 | + | 0.265775i | −0.742332 | − | 0.670032i | \(-0.766280\pi\) |
0.352511 | + | 0.935808i | \(0.385328\pi\) | |||||||
\(350\) | 26.7802 | − | 29.5484i | 1.43146 | − | 1.57943i | ||||
\(351\) | −21.8131 | − | 13.3467i | −1.16430 | − | 0.712396i | ||||
\(352\) | −11.0829 | − | 28.2387i | −0.590718 | − | 1.50513i | ||||
\(353\) | 13.3762 | + | 6.44163i | 0.711943 | + | 0.342853i | 0.754554 | − | 0.656238i | \(-0.227853\pi\) |
−0.0426112 | + | 0.999092i | \(0.513568\pi\) | |||||||
\(354\) | 5.60984 | + | 6.80215i | 0.298160 | + | 0.361530i | ||||
\(355\) | 7.29725 | + | 31.9714i | 0.387298 | + | 1.69686i | ||||
\(356\) | 8.33077 | − | 21.2265i | 0.441530 | − | 1.12500i | ||||
\(357\) | −6.53102 | − | 0.304983i | −0.345658 | − | 0.0161414i | ||||
\(358\) | 9.23102 | + | 23.5202i | 0.487874 | + | 1.24308i | ||||
\(359\) | 20.2065 | − | 13.7766i | 1.06646 | − | 0.727100i | 0.102926 | − | 0.994689i | \(-0.467179\pi\) |
0.963533 | + | 0.267589i | \(0.0862271\pi\) | |||||||
\(360\) | 4.01782 | + | 15.2714i | 0.211758 | + | 0.804872i | ||||
\(361\) | −21.9238 | − | 37.9731i | −1.15388 | − | 1.99858i | ||||
\(362\) | 15.4245 | + | 26.7160i | 0.810694 | + | 1.40416i | ||||
\(363\) | 2.02955 | + | 8.26367i | 0.106524 | + | 0.433730i | ||||
\(364\) | 24.2317 | + | 25.5102i | 1.27009 | + | 1.33710i | ||||
\(365\) | 8.67504 | − | 2.67590i | 0.454072 | − | 0.140063i | ||||
\(366\) | 11.0118 | + | 9.88573i | 0.575595 | + | 0.516735i | ||||
\(367\) | 12.8800 | − | 16.1510i | 0.672332 | − | 0.843078i | −0.322291 | − | 0.946641i | \(-0.604453\pi\) |
0.994623 | + | 0.103563i | \(0.0330243\pi\) | |||||||
\(368\) | 2.91635 | + | 0.439569i | 0.152025 | + | 0.0229141i | ||||
\(369\) | −18.8866 | + | 6.51273i | −0.983196 | + | 0.339039i | ||||
\(370\) | −0.725588 | + | 3.17901i | −0.0377215 | + | 0.165269i | ||||
\(371\) | −3.70274 | − | 5.29666i | −0.192237 | − | 0.274989i | ||||
\(372\) | −16.7294 | + | 16.0422i | −0.867380 | + | 0.831749i | ||||
\(373\) | −31.9671 | −1.65519 | −0.827597 | − | 0.561323i | \(-0.810293\pi\) | ||||
−0.827597 | + | 0.561323i | \(0.810293\pi\) | |||||||
\(374\) | 6.17074 | − | 10.6880i | 0.319081 | − | 0.552665i | ||||
\(375\) | 2.78612 | + | 11.3442i | 0.143875 | + | 0.585811i | ||||
\(376\) | −0.464117 | − | 6.19321i | −0.0239350 | − | 0.319390i | ||||
\(377\) | −15.9965 | + | 20.0589i | −0.823860 | + | 1.03309i | ||||
\(378\) | 7.03401 | − | 28.9695i | 0.361790 | − | 1.49003i | ||||
\(379\) | −5.96511 | − | 7.48001i | −0.306407 | − | 0.384222i | 0.604658 | − | 0.796485i | \(-0.293310\pi\) |
−0.911065 | + | 0.412263i | \(0.864738\pi\) | |||||||
\(380\) | −54.2864 | + | 50.3704i | −2.78483 | + | 2.58395i | ||||
\(381\) | −5.56088 | − | 6.74279i | −0.284893 | − | 0.345443i | ||||
\(382\) | 3.39074 | − | 2.31177i | 0.173486 | − | 0.118280i | ||||
\(383\) | 13.3468 | − | 16.7363i | 0.681988 | − | 0.855186i | −0.313548 | − | 0.949572i | \(-0.601518\pi\) |
0.995536 | + | 0.0943867i | \(0.0300890\pi\) | |||||||
\(384\) | −16.5387 | − | 10.8822i | −0.843986 | − | 0.555327i | ||||
\(385\) | 5.01531 | − | 36.1393i | 0.255604 | − | 1.84183i | ||||
\(386\) | −2.10058 | − | 1.01158i | −0.106917 | − | 0.0514883i | ||||
\(387\) | −0.464103 | + | 11.0609i | −0.0235917 | + | 0.562256i | ||||
\(388\) | 28.7904 | − | 8.88067i | 1.46161 | − | 0.450848i | ||||
\(389\) | 10.3710 | − | 4.99441i | 0.525831 | − | 0.253227i | −0.152083 | − | 0.988368i | \(-0.548598\pi\) |
0.677914 | + | 0.735141i | \(0.262884\pi\) | |||||||
\(390\) | −63.0210 | + | 10.5607i | −3.19119 | + | 0.534764i | ||||
\(391\) | 1.00062 | + | 1.73313i | 0.0506037 | + | 0.0876482i | ||||
\(392\) | −5.11166 | + | 9.35256i | −0.258178 | + | 0.472376i | ||||
\(393\) | 38.4680 | − | 0.632192i | 1.94046 | − | 0.0318899i | ||||
\(394\) | 4.14193 | − | 10.5535i | 0.208667 | − | 0.531676i | ||||
\(395\) | 35.6714 | + | 24.3204i | 1.79482 | + | 1.22369i | ||||
\(396\) | 24.4151 | + | 21.2043i | 1.22690 | + | 1.06556i | ||||
\(397\) | 2.03095 | − | 27.1012i | 0.101931 | − | 1.36017i | −0.678350 | − | 0.734739i | \(-0.737304\pi\) |
0.780280 | − | 0.625430i | \(-0.215076\pi\) | |||||||
\(398\) | −35.7821 | + | 24.3958i | −1.79360 | + | 1.22285i | ||||
\(399\) | 35.1767 | − | 9.07717i | 1.76104 | − | 0.454427i | ||||
\(400\) | −12.0756 | − | 8.23297i | −0.603778 | − | 0.411649i | ||||
\(401\) | 15.7330 | − | 19.7285i | 0.785667 | − | 0.985195i | −0.214298 | − | 0.976768i | \(-0.568746\pi\) |
0.999964 | − | 0.00842640i | \(-0.00268224\pi\) | |||||||
\(402\) | −37.9743 | − | 17.5247i | −1.89398 | − | 0.874051i | ||||
\(403\) | −15.1958 | − | 19.0549i | −0.756957 | − | 0.949194i | ||||
\(404\) | −18.5781 | − | 5.73057i | −0.924293 | − | 0.285107i | ||||
\(405\) | 20.9545 | + | 22.9985i | 1.04124 | + | 1.14280i | ||||
\(406\) | −27.9676 | − | 10.6004i | −1.38801 | − | 0.526091i | ||||
\(407\) | 0.633931 | + | 1.61523i | 0.0314228 | + | 0.0800640i | ||||
\(408\) | −0.342802 | − | 3.74702i | −0.0169712 | − | 0.185505i | ||||
\(409\) | −11.3108 | − | 3.48891i | −0.559282 | − | 0.172516i | 0.00221049 | − | 0.999998i | \(-0.499296\pi\) |
−0.561492 | + | 0.827482i | \(0.689773\pi\) | |||||||
\(410\) | −24.9602 | + | 43.2324i | −1.23270 | + | 2.13510i | ||||
\(411\) | −19.2625 | + | 0.316564i | −0.950148 | + | 0.0156149i | ||||
\(412\) | −31.5330 | − | 9.72665i | −1.55352 | − | 0.479198i | ||||
\(413\) | −4.90093 | − | 3.81539i | −0.241159 | − | 0.187743i | ||||
\(414\) | −8.62638 | + | 2.97467i | −0.423964 | + | 0.146197i | ||||
\(415\) | −21.0598 | − | 19.5406i | −1.03378 | − | 0.959210i | ||||
\(416\) | 23.3345 | − | 29.2605i | 1.14407 | − | 1.43462i | ||||
\(417\) | 16.3091 | + | 2.18476i | 0.798659 | + | 0.106988i | ||||
\(418\) | −15.2594 | + | 66.8558i | −0.746362 | + | 3.27002i | ||||
\(419\) | 9.24523 | − | 2.85177i | 0.451659 | − | 0.139318i | −0.0605762 | − | 0.998164i | \(-0.519294\pi\) |
0.512235 | + | 0.858845i | \(0.328818\pi\) | |||||||
\(420\) | −19.6512 | − | 38.0306i | −0.958882 | − | 1.85570i | ||||
\(421\) | 7.53505 | + | 2.32426i | 0.367236 | + | 0.113277i | 0.472880 | − | 0.881127i | \(-0.343214\pi\) |
−0.105644 | + | 0.994404i | \(0.533691\pi\) | |||||||
\(422\) | −22.2242 | + | 38.4935i | −1.08186 | + | 1.87384i | ||||
\(423\) | −6.46324 | − | 10.3905i | −0.314254 | − | 0.505203i | ||||
\(424\) | 2.72635 | − | 2.52968i | 0.132403 | − | 0.122852i | ||||
\(425\) | −0.741106 | − | 9.88937i | −0.0359489 | − | 0.479705i | ||||
\(426\) | 35.3131 | + | 4.73054i | 1.71093 | + | 0.229195i | ||||
\(427\) | −9.08812 | − | 5.10616i | −0.439805 | − | 0.247104i | ||||
\(428\) | −11.1241 | + | 28.3438i | −0.537704 | + | 1.37005i | ||||
\(429\) | −24.5429 | + | 23.5347i | −1.18494 | + | 1.13627i | ||||
\(430\) | 17.2476 | + | 21.6278i | 0.831753 | + | 1.04299i | ||||
\(431\) | 0.191633 | + | 2.55716i | 0.00923062 | + | 0.123174i | 0.999915 | − | 0.0130004i | \(-0.00413827\pi\) |
−0.990685 | + | 0.136174i | \(0.956519\pi\) | |||||||
\(432\) | −10.8706 | − | 1.09401i | −0.523014 | − | 0.0526357i | ||||
\(433\) | 21.9140 | − | 10.5532i | 1.05312 | − | 0.507156i | 0.174490 | − | 0.984659i | \(-0.444172\pi\) |
0.878630 | + | 0.477503i | \(0.158458\pi\) | |||||||
\(434\) | 15.7293 | − | 23.6609i | 0.755030 | − | 1.13576i | ||||
\(435\) | 25.4988 | − | 18.0056i | 1.22257 | − | 0.863301i | ||||
\(436\) | 28.3834 | − | 13.6687i | 1.35932 | − | 0.654614i | ||||
\(437\) | −8.15145 | − | 7.56344i | −0.389937 | − | 0.361808i | ||||
\(438\) | 0.575359 | − | 9.84640i | 0.0274917 | − | 0.470479i | ||||
\(439\) | 1.58011 | − | 4.02607i | 0.0754147 | − | 0.192154i | −0.888195 | − | 0.459467i | \(-0.848041\pi\) |
0.963610 | + | 0.267313i | \(0.0861358\pi\) | |||||||
\(440\) | 20.9973 | 1.00101 | ||||||||
\(441\) | −0.389055 | + | 20.9964i | −0.0185264 | + | 0.999828i | ||||
\(442\) | 15.2259 | 0.724222 | ||||||||
\(443\) | 4.61303 | − | 11.7538i | 0.219172 | − | 0.558440i | −0.778424 | − | 0.627738i | \(-0.783981\pi\) |
0.997596 | + | 0.0692983i | \(0.0220760\pi\) | |||||||
\(444\) | 1.70071 | + | 1.11903i | 0.0807119 | + | 0.0531070i | ||||
\(445\) | −21.3850 | − | 19.8424i | −1.01375 | − | 0.940619i | ||||
\(446\) | −26.5270 | + | 12.7748i | −1.25609 | + | 0.604902i | ||||
\(447\) | 15.9664 | + | 7.36829i | 0.755184 | + | 0.348508i | ||||
\(448\) | 30.3933 | + | 11.5199i | 1.43595 | + | 0.544262i | ||||
\(449\) | −2.18381 | + | 1.05167i | −0.103060 | + | 0.0496313i | −0.484704 | − | 0.874678i | \(-0.661073\pi\) |
0.381643 | + | 0.924310i | \(0.375358\pi\) | |||||||
\(450\) | 44.9101 | + | 5.26649i | 2.11708 | + | 0.248265i | ||||
\(451\) | 1.98518 | + | 26.4903i | 0.0934782 | + | 1.24738i | ||||
\(452\) | 33.5930 | + | 42.1243i | 1.58008 | + | 1.98136i | ||||
\(453\) | 0.925628 | + | 3.76886i | 0.0434898 | + | 0.177077i | ||||
\(454\) | 14.7258 | − | 37.5208i | 0.691118 | − | 1.76094i | ||||
\(455\) | 41.7061 | − | 16.9344i | 1.95521 | − | 0.793895i | ||||
\(456\) | 7.95701 | + | 19.3338i | 0.372621 | + | 0.905387i | ||||
\(457\) | 1.08510 | + | 14.4796i | 0.0507587 | + | 0.677328i | 0.963314 | + | 0.268375i | \(0.0864868\pi\) |
−0.912556 | + | 0.408952i | \(0.865894\pi\) | |||||||
\(458\) | 19.9909 | − | 18.5489i | 0.934115 | − | 0.866732i | ||||
\(459\) | −4.01866 | − | 6.22986i | −0.187575 | − | 0.290785i | ||||
\(460\) | −6.55146 | + | 11.3475i | −0.305464 | + | 0.529078i | ||||
\(461\) | −30.6932 | − | 9.46761i | −1.42953 | − | 0.440951i | −0.519133 | − | 0.854693i | \(-0.673745\pi\) |
−0.910394 | + | 0.413743i | \(0.864221\pi\) | |||||||
\(462\) | −34.8731 | − | 18.8463i | −1.62245 | − | 0.876811i | ||||
\(463\) | −18.5687 | + | 5.72770i | −0.862963 | + | 0.266189i | −0.694477 | − | 0.719515i | \(-0.744364\pi\) |
−0.168486 | + | 0.985704i | \(0.553888\pi\) | |||||||
\(464\) | −2.43915 | + | 10.6866i | −0.113235 | + | 0.496113i | ||||
\(465\) | 11.2855 | + | 27.4213i | 0.523353 | + | 1.27163i | ||||
\(466\) | 4.38004 | − | 5.49240i | 0.202902 | − | 0.254431i | ||||
\(467\) | 22.0761 | + | 20.4836i | 1.02156 | + | 0.947870i | 0.998654 | − | 0.0518679i | \(-0.0165175\pi\) |
0.0229066 | + | 0.999738i | \(0.492708\pi\) | |||||||
\(468\) | −7.59469 | + | 39.1658i | −0.351065 | + | 1.81044i | ||||
\(469\) | 28.7975 | + | 6.21919i | 1.32975 | + | 0.287176i | ||||
\(470\) | −29.2183 | − | 9.01264i | −1.34774 | − | 0.415722i | ||||
\(471\) | 7.36540 | − | 13.2556i | 0.339380 | − | 0.610786i | ||||
\(472\) | 1.78719 | − | 3.09551i | 0.0822622 | − | 0.142482i | ||||
\(473\) | 14.0665 | + | 4.33895i | 0.646780 | + | 0.199505i | ||||
\(474\) | 38.3158 | − | 27.0561i | 1.75990 | − | 1.24273i | ||||
\(475\) | 20.1318 | + | 51.2950i | 0.923710 | + | 2.35357i | ||||
\(476\) | 3.12041 | + | 9.71112i | 0.143024 | + | 0.445109i | ||||
\(477\) | 2.45158 | − | 6.90561i | 0.112250 | − | 0.316186i | ||||
\(478\) | 29.4769 | + | 9.09242i | 1.34824 | + | 0.415877i | ||||
\(479\) | 1.12862 | + | 1.41524i | 0.0515679 | + | 0.0646641i | 0.806947 | − | 0.590624i | \(-0.201118\pi\) |
−0.755379 | + | 0.655288i | \(0.772547\pi\) | |||||||
\(480\) | −37.1958 | + | 26.2652i | −1.69775 | + | 1.19884i | ||||
\(481\) | −1.33472 | + | 1.67368i | −0.0608578 | + | 0.0763132i | ||||
\(482\) | 47.9811 | + | 32.7130i | 2.18548 | + | 1.49003i | ||||
\(483\) | 5.47406 | − | 3.36926i | 0.249078 | − | 0.153306i | ||||
\(484\) | 10.9685 | − | 7.47822i | 0.498570 | − | 0.339919i | ||||
\(485\) | 2.88050 | − | 38.4376i | 0.130797 | − | 1.74536i | ||||
\(486\) | 31.3743 | − | 12.5809i | 1.42317 | − | 0.570682i | ||||
\(487\) | 12.3283 | + | 8.40530i | 0.558649 | + | 0.380880i | 0.809477 | − | 0.587151i | \(-0.199751\pi\) |
−0.250828 | + | 0.968032i | \(0.580703\pi\) | |||||||
\(488\) | 2.19173 | − | 5.58445i | 0.0992152 | − | 0.252796i | ||||
\(489\) | 11.1716 | − | 20.1056i | 0.505195 | − | 0.909207i | ||||
\(490\) | 33.6685 | + | 40.2491i | 1.52099 | + | 1.81827i | ||||
\(491\) | −5.48645 | − | 9.50282i | −0.247600 | − | 0.428856i | 0.715259 | − | 0.698859i | \(-0.246309\pi\) |
−0.962859 | + | 0.270003i | \(0.912975\pi\) | |||||||
\(492\) | 19.8304 | + | 24.0452i | 0.894025 | + | 1.08404i | ||||
\(493\) | −6.70131 | + | 3.22718i | −0.301812 | + | 0.145345i | ||||
\(494\) | −80.8437 | + | 24.9370i | −3.63733 | + | 1.12197i | ||||
\(495\) | 36.6639 | − | 19.1653i | 1.64792 | − | 0.861415i | ||||
\(496\) | −9.38160 | − | 4.51794i | −0.421246 | − | 0.202861i | ||||
\(497\) | −25.0041 | + | 2.16834i | −1.12159 | + | 0.0972636i | ||||
\(498\) | −27.8952 | + | 14.0029i | −1.25001 | + | 0.627483i | ||||
\(499\) | 4.31758 | − | 5.41407i | 0.193281 | − | 0.242367i | −0.675742 | − | 0.737138i | \(-0.736177\pi\) |
0.869023 | + | 0.494771i | \(0.164748\pi\) | |||||||
\(500\) | 15.0574 | − | 10.2659i | 0.673386 | − | 0.459107i | ||||
\(501\) | 10.0461 | − | 26.8882i | 0.448828 | − | 1.20127i | ||||
\(502\) | −25.8221 | + | 23.9594i | −1.15250 | + | 1.06936i | ||||
\(503\) | −17.9430 | − | 22.4999i | −0.800041 | − | 1.00322i | −0.999727 | − | 0.0233594i | \(-0.992564\pi\) |
0.199687 | − | 0.979860i | \(-0.436008\pi\) | |||||||
\(504\) | −11.9994 | + | 1.43919i | −0.534495 | + | 0.0641068i | ||||
\(505\) | −15.5079 | + | 19.4463i | −0.690093 | + | 0.865350i | ||||
\(506\) | 0.906722 | + | 12.0994i | 0.0403087 | + | 0.537882i | ||||
\(507\) | −18.6622 | − | 5.42235i | −0.828819 | − | 0.240815i | ||||
\(508\) | −6.81767 | + | 11.8086i | −0.302485 | + | 0.523920i | ||||
\(509\) | −9.26906 | −0.410844 | −0.205422 | − | 0.978674i | \(-0.565857\pi\) | ||||
−0.205422 | + | 0.978674i | \(0.565857\pi\) | |||||||
\(510\) | −17.7892 | − | 5.16868i | −0.787717 | − | 0.228873i | ||||
\(511\) | 1.11587 | + | 6.85776i | 0.0493633 | + | 0.303369i | ||||
\(512\) | 4.98285 | − | 21.8313i | 0.220213 | − | 0.964815i | ||||
\(513\) | 31.5408 | + | 26.4964i | 1.39256 | + | 1.16985i | ||||
\(514\) | −26.4583 | − | 3.98795i | −1.16703 | − | 0.175901i | ||||
\(515\) | −26.3220 | + | 33.0067i | −1.15989 | + | 1.45445i | ||||
\(516\) | 16.4180 | − | 5.36129i | 0.722763 | − | 0.236018i | ||||
\(517\) | −15.5482 | + | 4.79597i | −0.683807 | + | 0.210927i | ||||
\(518\) | −2.33356 | − | 0.884481i | −0.102531 | − | 0.0388619i | ||||
\(519\) | −24.5946 | + | 23.5842i | −1.07958 | + | 1.03523i | ||||
\(520\) | 12.9524 | + | 22.4342i | 0.567999 | + | 0.983803i | ||||
\(521\) | −2.26439 | − | 3.92204i | −0.0992047 | − | 0.171828i | 0.812151 | − | 0.583447i | \(-0.198297\pi\) |
−0.911356 | + | 0.411620i | \(0.864963\pi\) | |||||||
\(522\) | −8.62889 | − | 32.7976i | −0.377676 | − | 1.43551i | ||||
\(523\) | −15.0828 | + | 10.2833i | −0.659526 | + | 0.449657i | −0.846272 | − | 0.532751i | \(-0.821158\pi\) |
0.186746 | + | 0.982408i | \(0.440206\pi\) | |||||||
\(524\) | −21.9285 | − | 55.8729i | −0.957951 | − | 2.44082i | ||||
\(525\) | −31.6843 | + | 3.27303i | −1.38282 | + | 0.142847i | ||||
\(526\) | 13.3058 | − | 33.9027i | 0.580161 | − | 1.47823i | ||||
\(527\) | −1.57225 | − | 6.88847i | −0.0684882 | − | 0.300066i | ||||
\(528\) | −5.08462 | + | 13.6088i | −0.221280 | + | 0.592247i | ||||
\(529\) | 18.9496 | + | 9.12567i | 0.823897 | + | 0.396768i | ||||
\(530\) | −6.68966 | − | 17.0450i | −0.290580 | − | 0.740387i | ||||
\(531\) | 0.295240 | − | 7.03640i | 0.0128123 | − | 0.305354i | ||||
\(532\) | −32.4730 | − | 46.4517i | −1.40788 | − | 2.01394i | ||||
\(533\) | −27.0785 | + | 18.4618i | −1.17290 | + | 0.799669i | ||||
\(534\) | −28.3260 | + | 14.2191i | −1.22578 | + | 0.615321i | ||||
\(535\) | 28.5555 | + | 26.4956i | 1.23456 | + | 1.14551i | ||||
\(536\) | −1.26704 | + | 16.9075i | −0.0547278 | + | 0.730292i | ||||
\(537\) | 7.06359 | − | 18.9054i | 0.304816 | − | 0.815830i | ||||
\(538\) | 8.90315 | − | 15.4207i | 0.383842 | − | 0.664834i | ||||
\(539\) | 26.8684 | + | 7.60387i | 1.15730 | + | 0.327522i | ||||
\(540\) | 22.1687 | − | 43.1812i | 0.953990 | − | 1.85822i | ||||
\(541\) | −11.9566 | + | 1.80217i | −0.514054 | + | 0.0774812i | −0.400946 | − | 0.916102i | \(-0.631319\pi\) |
−0.113108 | + | 0.993583i | \(0.536081\pi\) | |||||||
\(542\) | −13.8038 | + | 6.64756i | −0.592924 | + | 0.285537i | ||||
\(543\) | 5.08758 | − | 24.1097i | 0.218329 | − | 1.03465i | ||||
\(544\) | 9.77540 | − | 4.70758i | 0.419117 | − | 0.201836i | ||||
\(545\) | −3.01188 | − | 40.1908i | −0.129015 | − | 1.72158i | ||||
\(546\) | −1.37580 | − | 48.8850i | −0.0588788 | − | 2.09209i | ||||
\(547\) | −3.03845 | + | 40.5453i | −0.129915 | + | 1.73359i | 0.428075 | + | 0.903743i | \(0.359192\pi\) |
−0.557990 | + | 0.829848i | \(0.688427\pi\) | |||||||
\(548\) | 10.9805 | + | 27.9778i | 0.469062 | + | 1.19515i | ||||
\(549\) | −1.27016 | − | 11.7516i | −0.0542089 | − | 0.501548i | ||||
\(550\) | 21.9665 | − | 55.9698i | 0.936655 | − | 2.38656i | ||||
\(551\) | 30.2959 | − | 28.1105i | 1.29065 | − | 1.19755i | ||||
\(552\) | 2.35362 | + | 2.85385i | 0.100177 | + | 0.121468i | ||||
\(553\) | −22.1891 | + | 24.4827i | −0.943578 | + | 1.04111i | ||||
\(554\) | −30.4343 | − | 4.58723i | −1.29303 | − | 0.194893i | ||||
\(555\) | 2.12757 | − | 1.50235i | 0.0903104 | − | 0.0637713i | ||||
\(556\) | −5.71234 | − | 25.0274i | −0.242257 | − | 1.06140i | ||||
\(557\) | 2.60485 | + | 4.51174i | 0.110371 | + | 0.191169i | 0.915920 | − | 0.401361i | \(-0.131463\pi\) |
−0.805549 | + | 0.592529i | \(0.798129\pi\) | |||||||
\(558\) | 32.1989 | − | 1.05861i | 1.36309 | − | 0.0448147i | ||||
\(559\) | 4.04120 | + | 17.7056i | 0.170924 | + | 0.748869i | ||||
\(560\) | 12.9148 | − | 14.2497i | 0.545749 | − | 0.602161i | ||||
\(561\) | −9.37080 | + | 3.06002i | −0.395636 | + | 0.129194i | ||||
\(562\) | −7.57592 | + | 33.1923i | −0.319571 | + | 1.40013i | ||||
\(563\) | 2.27876 | + | 5.80619i | 0.0960384 | + | 0.244702i | 0.970817 | − | 0.239821i | \(-0.0770886\pi\) |
−0.874779 | + | 0.484522i | \(0.838993\pi\) | |||||||
\(564\) | −11.6558 | + | 15.1190i | −0.490797 | + | 0.636626i | ||||
\(565\) | 65.8675 | − | 20.3174i | 2.77107 | − | 0.854761i | ||||
\(566\) | −3.98047 | + | 17.4396i | −0.167311 | + | 0.733039i | ||||
\(567\) | −19.6388 | + | 13.4654i | −0.824752 | + | 0.565495i | ||||
\(568\) | −3.21403 | − | 14.0816i | −0.134858 | − | 0.590850i | ||||
\(569\) | −4.40656 | − | 7.63239i | −0.184733 | − | 0.319966i | 0.758754 | − | 0.651378i | \(-0.225809\pi\) |
−0.943486 | + | 0.331411i | \(0.892475\pi\) | |||||||
\(570\) | 102.919 | − | 1.69139i | 4.31080 | − | 0.0708446i | ||||
\(571\) | −0.912447 | − | 0.281453i | −0.0381847 | − | 0.0117784i | 0.275604 | − | 0.961271i | \(-0.411122\pi\) |
−0.313789 | + | 0.949493i | \(0.601598\pi\) | |||||||
\(572\) | 47.7953 | + | 23.0170i | 1.99842 | + | 0.962389i | ||||
\(573\) | −3.24892 | − | 0.435224i | −0.135725 | − | 0.0181817i | ||||
\(574\) | −30.1471 | − | 23.4696i | −1.25832 | − | 0.979604i | ||||
\(575\) | 6.07890 | + | 7.62270i | 0.253508 | + | 0.317889i | ||||
\(576\) | 9.37731 | + | 35.6423i | 0.390721 | + | 1.48510i | ||||
\(577\) | −10.6369 | + | 27.1025i | −0.442822 | + | 1.12829i | 0.519039 | + | 0.854751i | \(0.326290\pi\) |
−0.961860 | + | 0.273540i | \(0.911805\pi\) | |||||||
\(578\) | −29.2360 | − | 14.0793i | −1.21606 | − | 0.585623i | ||||
\(579\) | 0.708753 | + | 1.72212i | 0.0294548 | + | 0.0715687i | ||||
\(580\) | −40.2368 | − | 27.4330i | −1.67074 | − | 1.13909i | ||||
\(581\) | 17.0286 | − | 13.9090i | 0.706465 | − | 0.577041i | ||||
\(582\) | −38.0239 | − | 17.5476i | −1.57614 | − | 0.727370i | ||||
\(583\) | −8.05074 | − | 5.48890i | −0.333428 | − | 0.227327i | ||||
\(584\) | −3.82087 | + | 1.17858i | −0.158109 | + | 0.0487700i | ||||
\(585\) | 43.0932 | + | 27.3506i | 1.78168 | + | 1.13081i | ||||
\(586\) | −53.9879 | + | 8.13737i | −2.23022 | + | 0.336152i | ||||
\(587\) | −11.6292 | + | 20.1423i | −0.479987 | + | 0.831362i | −0.999736 | − | 0.0229569i | \(-0.992692\pi\) |
0.519750 | + | 0.854319i | \(0.326025\pi\) | |||||||
\(588\) | 30.8971 | − | 10.8960i | 1.27417 | − | 0.449345i | ||||
\(589\) | 19.6300 | + | 34.0001i | 0.808838 | + | 1.40095i | ||||
\(590\) | −10.9721 | − | 13.7586i | −0.451714 | − | 0.566432i | ||||
\(591\) | −8.09312 | + | 4.06260i | −0.332907 | + | 0.167113i | ||||
\(592\) | −0.203518 | + | 0.891670i | −0.00836453 | + | 0.0366474i | ||||
\(593\) | 0.240225 | − | 3.20558i | 0.00986487 | − | 0.131637i | −0.990097 | − | 0.140386i | \(-0.955166\pi\) |
0.999962 | + | 0.00874840i | \(0.00278474\pi\) | |||||||
\(594\) | −5.56358 | − | 44.6017i | −0.228276 | − | 1.83003i | ||||
\(595\) | 13.0235 | + | 0.822830i | 0.533913 | + | 0.0337327i | ||||
\(596\) | 2.05012 | − | 27.3569i | 0.0839761 | − | 1.12058i | ||||
\(597\) | 34.2855 | + | 4.59287i | 1.40321 | + | 0.187974i | ||||
\(598\) | −12.3680 | + | 8.43236i | −0.505765 | + | 0.344825i | ||||
\(599\) | −17.3914 | + | 2.62133i | −0.710593 | + | 0.107105i | −0.494386 | − | 0.869243i | \(-0.664607\pi\) |
−0.216208 | + | 0.976347i | \(0.569369\pi\) | |||||||
\(600\) | −4.37219 | − | 17.8022i | −0.178494 | − | 0.726770i | ||||
\(601\) | −30.5182 | + | 4.59987i | −1.24486 | + | 0.187633i | −0.738241 | − | 0.674537i | \(-0.764343\pi\) |
−0.506620 | + | 0.862169i | \(0.669105\pi\) | |||||||
\(602\) | −18.2098 | + | 10.7995i | −0.742175 | + | 0.440155i | ||||
\(603\) | 13.2199 | + | 30.6791i | 0.538355 | + | 1.24935i | ||||
\(604\) | 5.00248 | − | 3.41064i | 0.203548 | − | 0.138777i | ||||
\(605\) | −3.77922 | − | 16.5578i | −0.153647 | − | 0.673171i | ||||
\(606\) | 13.8942 | + | 23.1774i | 0.564415 | + | 0.941519i | ||||
\(607\) | −22.6708 | −0.920180 | −0.460090 | − | 0.887872i | \(-0.652183\pi\) | ||||
−0.460090 | + | 0.887872i | \(0.652183\pi\) | |||||||
\(608\) | −44.1935 | + | 41.0056i | −1.79228 | + | 1.66300i | ||||
\(609\) | 10.9669 | + | 21.2240i | 0.444400 | + | 0.860038i | ||||
\(610\) | −21.6513 | − | 20.0894i | −0.876634 | − | 0.813397i | ||||
\(611\) | −14.7152 | − | 13.6537i | −0.595312 | − | 0.552369i | ||||
\(612\) | −6.91017 | + | 9.27464i | −0.279327 | + | 0.374905i | ||||
\(613\) | −20.9836 | − | 3.16277i | −0.847521 | − | 0.127743i | −0.289098 | − | 0.957299i | \(-0.593355\pi\) |
−0.558423 | + | 0.829556i | \(0.688593\pi\) | |||||||
\(614\) | 60.5560 | − | 18.6791i | 2.44384 | − | 0.753825i | ||||
\(615\) | 37.9043 | − | 12.3776i | 1.52845 | − | 0.499113i | ||||
\(616\) | −2.20896 | + | 15.9173i | −0.0890015 | + | 0.641328i | ||||
\(617\) | 11.5088 | − | 10.6786i | 0.463326 | − | 0.429904i | −0.413651 | − | 0.910435i | \(-0.635747\pi\) |
0.876978 | + | 0.480531i | \(0.159556\pi\) | |||||||
\(618\) | 23.5831 | + | 39.3397i | 0.948649 | + | 1.58247i | ||||
\(619\) | −39.3542 | −1.58178 | −0.790889 | − | 0.611960i | \(-0.790381\pi\) | ||||
−0.790889 | + | 0.611960i | \(0.790381\pi\) | |||||||
\(620\) | 33.9119 | − | 31.4657i | 1.36194 | − | 1.26369i | ||||
\(621\) | 6.71456 | + | 2.83492i | 0.269446 | + | 0.113761i | ||||
\(622\) | −4.23137 | + | 5.30597i | −0.169663 | + | 0.212750i | ||||
\(623\) | 17.2916 | − | 14.1238i | 0.692772 | − | 0.565857i | ||||
\(624\) | −17.6766 | + | 2.96215i | −0.707628 | + | 0.118581i | ||||
\(625\) | 2.54556 | + | 11.1528i | 0.101822 | + | 0.446113i | ||||
\(626\) | 11.6667 | − | 1.75847i | 0.466293 | − | 0.0702824i | ||||
\(627\) | 44.7437 | − | 31.5951i | 1.78689 | − | 1.26178i | ||||
\(628\) | −23.3938 | − | 3.52604i | −0.933513 | − | 0.140704i | ||||
\(629\) | −0.559145 | + | 0.269270i | −0.0222946 | + | 0.0107365i | ||||
\(630\) | −14.9874 | + | 57.5818i | −0.597112 | + | 2.29411i | ||||
\(631\) | −40.1055 | − | 19.3138i | −1.59658 | − | 0.768871i | −0.597130 | − | 0.802144i | \(-0.703692\pi\) |
−0.999446 | + | 0.0332738i | \(0.989407\pi\) | |||||||
\(632\) | −15.7112 | − | 10.7117i | −0.624960 | − | 0.426090i | ||||
\(633\) | 33.7494 | − | 11.0208i | 1.34142 | − | 0.438039i | ||||
\(634\) | 0.388968 | − | 5.19041i | 0.0154479 | − | 0.206138i | ||||
\(635\) | 10.8763 | + | 13.6385i | 0.431615 | + | 0.541228i | ||||
\(636\) | −11.4307 | + | 0.187854i | −0.453255 | + | 0.00744889i | ||||
\(637\) | 8.44978 | + | 33.3975i | 0.334793 | + | 1.32326i | ||||
\(638\) | −45.0950 | −1.78533 | ||||||||
\(639\) | −18.4650 | − | 21.6546i | −0.730465 | − | 0.856642i | ||||
\(640\) | 32.6482 | + | 22.2592i | 1.29054 | + | 0.879872i | ||||
\(641\) | 4.85902 | − | 21.2888i | 0.191920 | − | 0.840856i | −0.783656 | − | 0.621195i | \(-0.786648\pi\) |
0.975576 | − | 0.219661i | \(-0.0704952\pi\) | |||||||
\(642\) | 37.8238 | − | 18.9868i | 1.49278 | − | 0.749351i | ||||
\(643\) | 0.326436 | + | 4.35599i | 0.0128734 | + | 0.171783i | 0.999935 | + | 0.0114393i | \(0.00364132\pi\) |
−0.987061 | + | 0.160344i | \(0.948740\pi\) | |||||||
\(644\) | −7.91290 | − | 6.16022i | −0.311812 | − | 0.242746i | ||||
\(645\) | 1.28894 | − | 22.0582i | 0.0507519 | − | 0.868542i | ||||
\(646\) | −24.2527 | − | 3.65550i | −0.954209 | − | 0.143824i | ||||
\(647\) | 1.60515 | + | 21.4192i | 0.0631049 | + | 0.842077i | 0.935512 | + | 0.353296i | \(0.114939\pi\) |
−0.872407 | + | 0.488781i | \(0.837442\pi\) | |||||||
\(648\) | −9.22929 | − | 10.1295i | −0.362561 | − | 0.397925i | ||||
\(649\) | −8.94847 | − | 2.76024i | −0.351258 | − | 0.108349i | ||||
\(650\) | 73.3500 | − | 11.0557i | 2.87702 | − | 0.433642i | ||||
\(651\) | −21.9744 | + | 5.67037i | −0.861244 | + | 0.222239i | ||||
\(652\) | −35.4828 | − | 5.34817i | −1.38961 | − | 0.209450i | ||||
\(653\) | −23.6520 | − | 11.3902i | −0.925576 | − | 0.445734i | −0.0905173 | − | 0.995895i | \(-0.528852\pi\) |
−0.835059 | + | 0.550161i | \(0.814566\pi\) | |||||||
\(654\) | −42.0488 | − | 12.2174i | −1.64424 | − | 0.477736i | ||||
\(655\) | −76.7888 | −3.00039 | ||||||||
\(656\) | −7.00102 | + | 12.1261i | −0.273344 | + | 0.473445i | ||||
\(657\) | −5.59596 | + | 5.54544i | −0.218319 | + | 0.216348i | ||||
\(658\) | 9.90599 | − | 21.2012i | 0.386176 | − | 0.826509i | ||||
\(659\) | 22.2748 | + | 20.6680i | 0.867705 | + | 0.805112i | 0.982107 | − | 0.188322i | \(-0.0603049\pi\) |
−0.114403 | + | 0.993434i | \(0.536495\pi\) | |||||||
\(660\) | −48.0281 | − | 43.1168i | −1.86949 | − | 1.67832i | ||||
\(661\) | −13.1866 | − | 33.5988i | −0.512898 | − | 1.30684i | −0.919447 | − | 0.393214i | \(-0.871363\pi\) |
0.406549 | − | 0.913629i | \(-0.366732\pi\) | |||||||
\(662\) | 12.4849 | + | 31.8109i | 0.485238 | + | 1.23637i | ||||
\(663\) | −9.04988 | − | 8.12445i | −0.351468 | − | 0.315527i | ||||
\(664\) | 9.27563 | + | 8.60653i | 0.359964 | + | 0.333998i | ||||
\(665\) | −70.4976 | + | 16.9610i | −2.73378 | + | 0.657720i | ||||
\(666\) | −0.719979 | − | 2.73657i | −0.0278986 | − | 0.106040i | ||||
\(667\) | 3.65621 | − | 6.33274i | 0.141569 | − | 0.245205i | ||||
\(668\) | −44.7804 | −1.73261 | ||||||||
\(669\) | 22.5835 | + | 6.56169i | 0.873130 | + | 0.253690i | ||||
\(670\) | 75.2080 | + | 36.2182i | 2.90554 | + | 1.39923i | ||||
\(671\) | −15.5416 | − | 2.34251i | −0.599976 | − | 0.0904318i | ||||
\(672\) | −15.9977 | − | 30.9600i | −0.617125 | − | 1.19431i | ||||
\(673\) | −11.8594 | + | 1.78752i | −0.457148 | + | 0.0689040i | −0.373580 | − | 0.927598i | \(-0.621870\pi\) |
−0.0835682 | + | 0.996502i | \(0.526632\pi\) | |||||||
\(674\) | 34.7476 | + | 10.7182i | 1.33843 | + | 0.412850i | ||||
\(675\) | −23.8833 | − | 27.0941i | −0.919268 | − | 1.04285i | ||||
\(676\) | 2.26574 | + | 30.2342i | 0.0871438 | + | 1.16285i | ||||
\(677\) | 31.7711 | + | 4.78872i | 1.22106 | + | 0.184045i | 0.727771 | − | 0.685820i | \(-0.240556\pi\) |
0.493290 | + | 0.869865i | \(0.335794\pi\) | |||||||
\(678\) | 4.36856 | − | 74.7613i | 0.167774 | − | 2.87119i | ||||
\(679\) | 28.8352 | + | 6.22732i | 1.10659 | + | 0.238982i | ||||
\(680\) | 0.561216 | + | 7.48891i | 0.0215217 | + | 0.287187i | ||||
\(681\) | −28.7735 | + | 14.4438i | −1.10260 | + | 0.553487i | ||||
\(682\) | 9.53233 | − | 41.7639i | 0.365012 | − | 1.59922i | ||||
\(683\) | −9.13252 | − | 6.22644i | −0.349446 | − | 0.238248i | 0.375858 | − | 0.926677i | \(-0.377348\pi\) |
−0.725304 | + | 0.688429i | \(0.758301\pi\) | |||||||
\(684\) | 21.5004 | − | 60.5622i | 0.822087 | − | 2.31565i | ||||
\(685\) | 38.4512 | 1.46915 | ||||||||
\(686\) | −34.0535 | + | 21.2886i | −1.30017 | + | 0.812803i | ||||
\(687\) | −21.7797 | + | 0.357932i | −0.830946 | + | 0.0136560i | ||||
\(688\) | 4.83772 | + | 6.06631i | 0.184436 | + | 0.231276i | ||||
\(689\) | 0.898342 | − | 11.9875i | 0.0342241 | − | 0.456689i | ||||
\(690\) | 17.3127 | − | 5.65342i | 0.659081 | − | 0.215222i | ||||
\(691\) | 14.4794 | + | 9.87186i | 0.550821 | + | 0.375543i | 0.806514 | − | 0.591215i | \(-0.201351\pi\) |
−0.255693 | + | 0.966758i | \(0.582304\pi\) | |||||||
\(692\) | 47.8959 | + | 23.0654i | 1.82073 | + | 0.876816i | ||||
\(693\) | 10.6714 | + | 29.8099i | 0.405373 | + | 1.13238i | ||||
\(694\) | 50.3414 | − | 24.2432i | 1.91094 | − | 0.920258i | ||||
\(695\) | −32.4753 | − | 4.89486i | −1.23186 | − | 0.185673i | ||||
\(696\) | −11.2308 | + | 7.93044i | −0.425701 | + | 0.300602i | ||||
\(697\) | −9.39499 | + | 1.41607i | −0.355861 | + | 0.0536374i | ||||
\(698\) | −4.25296 | − | 18.6335i | −0.160977 | − | 0.705287i | ||||
\(699\) | −5.53410 | + | 0.927377i | −0.209319 | + | 0.0350766i | ||||
\(700\) | 22.0838 | + | 44.5171i | 0.834689 | + | 1.68259i | ||||
\(701\) | 13.3756 | − | 16.7724i | 0.505188 | − | 0.633486i | −0.462202 | − | 0.886774i | \(-0.652941\pi\) |
0.967391 | + | 0.253288i | \(0.0815121\pi\) | |||||||
\(702\) | 44.2219 | − | 33.4573i | 1.66905 | − | 1.26276i | ||||
\(703\) | 2.52784 | − | 2.34549i | 0.0953392 | − | 0.0884618i | ||||
\(704\) | 49.0062 | 1.84699 | ||||||||
\(705\) | 12.5575 | + | 20.9476i | 0.472942 | + | 0.788931i | ||||
\(706\) | −23.5997 | + | 21.8973i | −0.888186 | + | 0.824116i | ||||
\(707\) | −13.1101 | − | 13.8018i | −0.493057 | − | 0.519070i | ||||
\(708\) | −10.4444 | + | 3.41060i | −0.392523 | + | 0.128178i | ||||
\(709\) | 5.44256 | − | 1.67881i | 0.204400 | − | 0.0630489i | −0.190865 | − | 0.981616i | \(-0.561129\pi\) |
0.395264 | + | 0.918567i | \(0.370653\pi\) | |||||||
\(710\) | −70.3169 | − | 10.5986i | −2.63895 | − | 0.397757i | ||||
\(711\) | −37.2109 | − | 4.36362i | −1.39552 | − | 0.163649i | ||||
\(712\) | 9.41889 | + | 8.73945i | 0.352988 | + | 0.327525i | ||||
\(713\) | 5.09209 | + | 4.72477i | 0.190700 | + | 0.176944i | ||||
\(714\) | 5.78965 | − | 12.9416i | 0.216672 | − | 0.484327i | ||||
\(715\) | 49.7505 | − | 46.1617i | 1.86056 | − | 1.72635i | ||||
\(716\) | −31.4858 | −1.17668 | ||||||||
\(717\) | −12.6686 | − | 21.1330i | −0.473119 | − | 0.789226i | ||||
\(718\) | 11.8006 | + | 51.7020i | 0.440396 | + | 1.92950i | ||||
\(719\) | 39.9505 | − | 27.2378i | 1.48990 | − | 1.01580i | 0.501295 | − | 0.865276i | \(-0.332857\pi\) |
0.988607 | − | 0.150521i | \(-0.0480952\pi\) | |||||||
\(720\) | 21.6579 | + | 2.53977i | 0.807143 | + | 0.0946516i | ||||
\(721\) | −22.2521 | − | 23.4262i | −0.828713 | − | 0.872436i | ||||
\(722\) | 94.0191 | − | 14.1711i | 3.49903 | − | 0.527394i | ||||
\(723\) | −11.0633 | − | 45.0462i | −0.411448 | − | 1.67529i | ||||
\(724\) | −38.0125 | + | 5.72946i | −1.41272 | + | 0.212934i | ||||
\(725\) | −29.9399 | + | 20.4127i | −1.11194 | + | 0.758109i | ||||
\(726\) | −18.2885 | − | 2.44992i | −0.678750 | − | 0.0909252i | ||||
\(727\) | −0.279770 | + | 3.73327i | −0.0103761 | + | 0.138459i | −0.999986 | − | 0.00532021i | \(-0.998307\pi\) |
0.989610 | + | 0.143779i | \(0.0459256\pi\) | |||||||
\(728\) | −18.3692 | + | 7.45863i | −0.680807 | + | 0.276435i | ||||
\(729\) | −25.3612 | − | 9.26338i | −0.939303 | − | 0.343088i | ||||
\(730\) | −1.47113 | + | 19.6309i | −0.0544491 | + | 0.726573i | ||||
\(731\) | −1.17156 | + | 5.13295i | −0.0433318 | + | 0.189849i | ||||
\(732\) | −16.4806 | + | 8.27295i | −0.609140 | + | 0.305777i | ||||
\(733\) | −12.6925 | − | 15.9159i | −0.468810 | − | 0.587869i | 0.490070 | − | 0.871683i | \(-0.336971\pi\) |
−0.958879 | + | 0.283815i | \(0.908400\pi\) | |||||||
\(734\) | 22.3979 | + | 38.7942i | 0.826720 | + | 1.43192i | ||||
\(735\) | 1.46502 | − | 41.8883i | 0.0540382 | − | 1.54507i | ||||
\(736\) | −5.33342 | + | 9.23776i | −0.196592 | + | 0.340508i | ||||
\(737\) | 43.9239 | − | 6.62046i | 1.61796 | − | 0.243868i | ||||
\(738\) | 1.81611 | − | 43.2831i | 0.0668520 | − | 1.59327i | ||||
\(739\) | 7.99699 | − | 2.46675i | 0.294174 | − | 0.0907407i | −0.144155 | − | 0.989555i | \(-0.546046\pi\) |
0.438330 | + | 0.898814i | \(0.355570\pi\) | |||||||
\(740\) | −3.35728 | − | 2.28896i | −0.123416 | − | 0.0841438i | ||||
\(741\) | 61.3576 | + | 28.3158i | 2.25403 | + | 1.04021i | ||||
\(742\) | 13.6250 | − | 3.27804i | 0.500189 | − | 0.120341i | ||||
\(743\) | −15.4538 | − | 10.5362i | −0.566944 | − | 0.386536i | 0.245656 | − | 0.969357i | \(-0.420996\pi\) |
−0.812601 | + | 0.582821i | \(0.801949\pi\) | |||||||
\(744\) | −4.97063 | − | 12.0775i | −0.182232 | − | 0.442784i | ||||
\(745\) | −31.6214 | − | 15.2281i | −1.15852 | − | 0.557913i | ||||
\(746\) | 25.3251 | − | 64.5273i | 0.927217 | − | 2.36251i | ||||
\(747\) | 24.0520 | + | 6.56175i | 0.880017 | + | 0.240082i | ||||
\(748\) | 9.58871 | + | 12.0239i | 0.350598 | + | 0.439636i | ||||
\(749\) | −23.0895 | + | 18.8595i | −0.843672 | + | 0.689112i | ||||
\(750\) | −25.1061 | − | 3.36320i | −0.916744 | − | 0.122807i | ||||
\(751\) | −3.58116 | − | 1.72460i | −0.130679 | − | 0.0629315i | 0.367402 | − | 0.930062i | \(-0.380247\pi\) |
−0.498081 | + | 0.867131i | \(0.665962\pi\) | |||||||
\(752\) | −8.19534 | − | 2.52793i | −0.298853 | − | 0.0921840i | ||||
\(753\) | 28.1326 | − | 0.462337i | 1.02521 | − | 0.0168485i | ||||
\(754\) | −27.8172 | − | 48.1808i | −1.01304 | − | 1.75464i | ||||
\(755\) | −1.72361 | − | 7.55162i | −0.0627285 | − | 0.274832i | ||||
\(756\) | 30.4020 | + | 21.3481i | 1.10571 | + | 0.776423i | ||||
\(757\) | −0.734581 | + | 3.21841i | −0.0266988 | + | 0.116975i | −0.986521 | − | 0.163633i | \(-0.947679\pi\) |
0.959823 | + | 0.280608i | \(0.0905360\pi\) | |||||||
\(758\) | 19.8245 | − | 6.11504i | 0.720058 | − | 0.222108i | ||||
\(759\) | 5.91722 | − | 7.67537i | 0.214781 | − | 0.278598i | ||||
\(760\) | −15.2452 | − | 38.8441i | −0.553001 | − | 1.40902i | ||||
\(761\) | 0.401040 | − | 1.75707i | 0.0145377 | − | 0.0636937i | −0.967139 | − | 0.254249i | \(-0.918172\pi\) |
0.981676 | + | 0.190555i | \(0.0610289\pi\) | |||||||
\(762\) | 18.0161 | − | 5.88314i | 0.652655 | − | 0.213124i | ||||
\(763\) | 30.7841 | + | 1.94495i | 1.11446 | + | 0.0704118i | ||||
\(764\) | 1.13795 | + | 4.98569i | 0.0411696 | + | 0.180376i | ||||
\(765\) | 7.81545 | + | 12.5643i | 0.282568 | + | 0.454264i | ||||
\(766\) | 23.2095 | + | 40.2000i | 0.838593 | + | 1.45249i | ||||
\(767\) | −2.57082 | − | 11.2635i | −0.0928268 | − | 0.406701i | ||||
\(768\) | 0.305170 | − | 0.215491i | 0.0110119 | − | 0.00777588i | ||||
\(769\) | −44.5761 | − | 6.71877i | −1.60746 | − | 0.242285i | −0.716906 | − | 0.697170i | \(-0.754442\pi\) |
−0.890550 | + | 0.454885i | \(0.849680\pi\) | |||||||
\(770\) | 68.9759 | + | 38.7541i | 2.48572 | + | 1.39660i | ||||
\(771\) | 13.5982 | + | 16.4883i | 0.489727 | + | 0.593813i | ||||
\(772\) | 2.12974 | − | 1.97611i | 0.0766510 | − | 0.0711218i | ||||
\(773\) | 8.99201 | − | 22.9113i | 0.323420 | − | 0.824061i | −0.673010 | − | 0.739634i | \(-0.734999\pi\) |
0.996430 | − | 0.0844270i | \(-0.0269060\pi\) | |||||||
\(774\) | −21.9593 | − | 9.69949i | −0.789310 | − | 0.348641i | ||||
\(775\) | −12.5760 | − | 32.0432i | −0.451745 | − | 1.15103i | ||||
\(776\) | −1.26870 | + | 16.9296i | −0.0455435 | + | 0.607736i | ||||
\(777\) | 0.915056 | + | 1.77089i | 0.0328275 | + | 0.0635303i | ||||
\(778\) | 1.86533 | + | 24.8911i | 0.0668753 | + | 0.892389i | ||||
\(779\) | 47.5646 | − | 22.9059i | 1.70418 | − | 0.820689i | ||||
\(780\) | 16.4407 | − | 77.9116i | 0.588672 | − | 2.78968i | ||||
\(781\) | −34.0935 | + | 16.4186i | −1.21996 | + | 0.587503i | ||||
\(782\) | −4.29113 | + | 0.646784i | −0.153451 | + | 0.0231289i | ||||
\(783\) | −12.3718 | + | 24.0984i | −0.442133 | + | 0.861206i | ||||
\(784\) | 9.44356 | + | 11.2893i | 0.337270 | + | 0.403191i | ||||
\(785\) | −15.1334 | + | 26.2118i | −0.540133 | + | 0.935538i | ||||
\(786\) | −29.1992 | + | 78.1506i | −1.04150 | + | 2.78754i | ||||
\(787\) | −0.166635 | + | 2.22359i | −0.00593989 | + | 0.0792624i | −0.999386 | − | 0.0350399i | \(-0.988844\pi\) |
0.993446 | + | 0.114302i | \(0.0364632\pi\) | |||||||
\(788\) | 10.3562 | + | 9.60919i | 0.368926 | + | 0.342313i | ||||
\(789\) | −25.9989 | + | 13.0510i | −0.925585 | + | 0.464627i | ||||
\(790\) | −77.3516 | + | 52.7374i | −2.75205 | + | 1.87631i | ||||
\(791\) | 8.47255 | + | 52.0693i | 0.301249 | + | 1.85137i | ||||
\(792\) | −16.1484 | + | 8.44122i | −0.573808 | + | 0.299946i | ||||
\(793\) | −7.08414 | − | 18.0501i | −0.251565 | − | 0.640977i | ||||
\(794\) | 53.0962 | + | 25.5698i | 1.88431 | + | 0.907437i | ||||
\(795\) | −5.11894 | + | 13.7007i | −0.181550 | + | 0.485913i | ||||
\(796\) | −12.0087 | − | 52.6134i | −0.425636 | − | 1.86483i | ||||
\(797\) | −2.84304 | + | 7.24395i | −0.100706 | + | 0.256594i | −0.972343 | − | 0.233558i | \(-0.924963\pi\) |
0.871637 | + | 0.490151i | \(0.163059\pi\) | |||||||
\(798\) | −9.54509 | + | 78.1972i | −0.337893 | + | 2.76815i | ||||
\(799\) | −2.12610 | − | 5.41723i | −0.0752162 | − | 0.191648i | ||||
\(800\) | 43.6742 | − | 29.7766i | 1.54412 | − | 1.05276i | ||||
\(801\) | 24.4235 | + | 6.66309i | 0.862960 | + | 0.235429i | ||||
\(802\) | 27.3590 | + | 47.3872i | 0.966080 | + | 1.67330i | ||||
\(803\) | 5.23783 | + | 9.07219i | 0.184839 | + | 0.320151i | ||||
\(804\) | 37.6167 | − | 36.0714i | 1.32664 | − | 1.27214i | ||||
\(805\) | −11.0347 | + | 6.54427i | −0.388923 | + | 0.230655i | ||||
\(806\) | 50.5019 | − | 15.5778i | 1.77885 | − | 0.548703i | ||||
\(807\) | −13.5202 | + | 4.41500i | −0.475934 | + | 0.155415i | ||||
\(808\) | 6.83036 | − | 8.56500i | 0.240291 | − | 0.301316i | ||||
\(809\) | 5.85083 | + | 0.881871i | 0.205704 | + | 0.0310049i | 0.251086 | − | 0.967965i | \(-0.419212\pi\) |
−0.0453817 | + | 0.998970i | \(0.514450\pi\) | |||||||
\(810\) | −63.0242 | + | 24.0779i | −2.21445 | + | 0.846012i | ||||
\(811\) | −4.69715 | + | 20.5796i | −0.164939 | + | 0.722647i | 0.823030 | + | 0.567998i | \(0.192282\pi\) |
−0.987970 | + | 0.154649i | \(0.950575\pi\) | |||||||
\(812\) | 25.0290 | − | 27.6161i | 0.878345 | − | 0.969136i | ||||
\(813\) | 11.7517 | + | 3.41449i | 0.412151 | + | 0.119751i | ||||
\(814\) | −3.76264 | −0.131881 | ||||||||
\(815\) | −22.9537 | + | 39.7570i | −0.804034 | + | 1.39263i | ||||
\(816\) | −4.98963 | − | 1.44975i | −0.174672 | − | 0.0507513i | ||||
\(817\) | −2.18620 | − | 29.1728i | −0.0764854 | − | 1.02063i | ||||
\(818\) | 16.0032 | − | 20.0674i | 0.559539 | − | 0.701640i | ||||
\(819\) | −25.2670 | + | 29.7901i | −0.882901 | + | 1.04095i | ||||
\(820\) | −38.7857 | − | 48.6357i | −1.35445 | − | 1.69843i | ||||
\(821\) | −33.1534 | + | 30.7619i | −1.15706 | + | 1.07360i | −0.160820 | + | 0.986984i | \(0.551414\pi\) |
−0.996242 | + | 0.0866128i | \(0.972396\pi\) | |||||||
\(822\) | 14.6212 | − | 39.1331i | 0.509972 | − | 1.36492i | ||||
\(823\) | −13.5829 | + | 9.26065i | −0.473469 | + | 0.322806i | −0.776437 | − | 0.630195i | \(-0.782975\pi\) |
0.302968 | + | 0.953001i | \(0.402023\pi\) | |||||||
\(824\) | 11.5934 | − | 14.5376i | 0.403874 | − | 0.506441i | ||||
\(825\) | −42.9215 | + | 21.5458i | −1.49433 | + | 0.750128i | ||||
\(826\) | 11.5842 | − | 6.87014i | 0.403065 | − | 0.239043i | ||||
\(827\) | 2.90186 | + | 1.39746i | 0.100907 | + | 0.0485944i | 0.483657 | − | 0.875258i | \(-0.339308\pi\) |
−0.382749 | + | 0.923852i | \(0.625023\pi\) | |||||||
\(828\) | 0.476686 | − | 11.3608i | 0.0165660 | − | 0.394814i | ||||
\(829\) | 15.0792 | − | 4.65131i | 0.523722 | − | 0.161547i | −0.0216110 | − | 0.999766i | \(-0.506880\pi\) |
0.545333 | + | 0.838220i | \(0.316403\pi\) | |||||||
\(830\) | 56.1277 | − | 27.0297i | 1.94822 | − | 0.938214i | ||||
\(831\) | 15.6416 | + | 18.9661i | 0.542603 | + | 0.657927i | ||||
\(832\) | 30.2299 | + | 52.3597i | 1.04803 | + | 1.81525i | ||||
\(833\) | −1.99386 | + | 9.78612i | −0.0690832 | + | 0.339069i | ||||
\(834\) | −17.3305 | + | 31.1899i | −0.600106 | + | 1.08002i | ||||
\(835\) | −20.9303 | + | 53.3294i | −0.724321 | + | 1.84554i | ||||
\(836\) | −70.6050 | − | 48.1377i | −2.44193 | − | 1.66488i | ||||
\(837\) | −19.7031 | − | 16.5519i | −0.681038 | − | 0.572119i | ||||
\(838\) | −1.56783 | + | 20.9212i | −0.0541597 | + | 0.722711i | ||||
\(839\) | 5.56193 | − | 3.79206i | 0.192019 | − | 0.130916i | −0.463494 | − | 0.886100i | \(-0.653405\pi\) |
0.655514 | + | 0.755183i | \(0.272452\pi\) | |||||||
\(840\) | 23.9936 | − | 2.47856i | 0.827857 | − | 0.0855185i | ||||
\(841\) | −1.50576 | − | 1.02661i | −0.0519226 | − | 0.0354002i | ||||
\(842\) | −10.6611 | + | 13.3686i | −0.367405 | + | 0.460711i | ||||
\(843\) | 22.2141 | − | 15.6862i | 0.765095 | − | 0.540260i | ||||
\(844\) | −34.5342 | − | 43.3045i | −1.18872 | − | 1.49060i | ||||
\(845\) | 37.0651 | + | 11.4331i | 1.27508 | + | 0.393310i | ||||
\(846\) | 26.0941 | − | 4.81481i | 0.897132 | − | 0.165537i | ||||
\(847\) | 12.9495 | − | 1.12298i | 0.444950 | − | 0.0385859i | ||||
\(848\) | −1.87636 | − | 4.78089i | −0.0644346 | − | 0.164177i | ||||
\(849\) | 11.6715 | − | 8.24168i | 0.400566 | − | 0.282854i | ||||
\(850\) | 20.5493 | + | 6.33863i | 0.704836 | + | 0.217413i | ||||
\(851\) | 0.305068 | − | 0.528393i | 0.0104576 | − | 0.0181131i | ||||
\(852\) | −21.5641 | + | 38.8092i | −0.738774 | + | 1.32958i | ||||
\(853\) | 51.4129 | + | 15.8588i | 1.76034 | + | 0.542994i | 0.994932 | − | 0.100546i | \(-0.0320588\pi\) |
0.765412 | + | 0.643540i | \(0.222535\pi\) | |||||||
\(854\) | 17.5069 | − | 14.2996i | 0.599072 | − | 0.489323i | ||||
\(855\) | −62.0749 | − | 53.9116i | −2.12292 | − | 1.84374i | ||||
\(856\) | −12.5771 | − | 11.6698i | −0.429876 | − | 0.398866i | ||||
\(857\) | −14.6987 | + | 18.4315i | −0.502097 | + | 0.629609i | −0.966701 | − | 0.255909i | \(-0.917625\pi\) |
0.464604 | + | 0.885518i | \(0.346197\pi\) | |||||||
\(858\) | −28.0626 | − | 68.1859i | −0.958040 | − | 2.32783i | ||||
\(859\) | 9.36571 | − | 41.0339i | 0.319554 | − | 1.40006i | −0.518783 | − | 0.854906i | \(-0.673615\pi\) |
0.838337 | − | 0.545152i | \(-0.183528\pi\) | |||||||
\(860\) | −32.9402 | + | 10.1607i | −1.12325 | + | 0.346477i | ||||
\(861\) | 5.39542 | + | 30.0361i | 0.183875 | + | 1.02363i | ||||
\(862\) | −5.31358 | − | 1.63902i | −0.180981 | − | 0.0558253i | ||||
\(863\) | −5.46029 | + | 9.45750i | −0.185870 | + | 0.321937i | −0.943869 | − | 0.330319i | \(-0.892844\pi\) |
0.757999 | + | 0.652256i | \(0.226177\pi\) | |||||||
\(864\) | 18.0471 | − | 35.1530i | 0.613976 | − | 1.19593i | ||||
\(865\) | 49.8552 | − | 46.2589i | 1.69513 | − | 1.57285i | ||||
\(866\) | 3.94145 | + | 52.5950i | 0.133936 | + | 1.78725i | ||||
\(867\) | 9.86450 | + | 23.9686i | 0.335016 | + | 0.814016i | ||||
\(868\) | 20.2854 | + | 29.0177i | 0.688533 | + | 0.984925i | ||||
\(869\) | −18.2006 | + | 46.3745i | −0.617415 | + | 1.57315i | ||||
\(870\) | 16.1445 | + | 65.7350i | 0.547348 | + | 2.22863i | ||||
\(871\) | 34.1683 | + | 42.8457i | 1.15775 | + | 1.45177i | ||||
\(872\) | 1.32656 | + | 17.7018i | 0.0449231 | + | 0.599457i | ||||
\(873\) | 13.2371 | + | 30.7191i | 0.448009 | + | 1.03969i | ||||
\(874\) | 21.7250 | − | 10.4622i | 0.734858 | − | 0.353889i | ||||
\(875\) | 17.7768 | − | 1.54160i | 0.600965 | − | 0.0521155i | ||||
\(876\) | 11.1598 | + | 5.15010i | 0.377054 | + | 0.174006i | ||||
\(877\) | 3.34969 | − | 1.61312i | 0.113111 | − | 0.0544713i | −0.376473 | − | 0.926428i | \(-0.622863\pi\) |
0.489584 | + | 0.871956i | \(0.337149\pi\) | |||||||
\(878\) | 6.87502 | + | 6.37908i | 0.232021 | + | 0.215284i | ||||
\(879\) | 36.4311 | + | 23.9710i | 1.22879 | + | 0.808522i | ||||
\(880\) | 10.5934 | − | 26.9914i | 0.357102 | − | 0.909881i | ||||
\(881\) | −29.6338 | −0.998389 | −0.499194 | − | 0.866490i | \(-0.666371\pi\) | ||||
−0.499194 | + | 0.866490i | \(0.666371\pi\) | |||||||
\(882\) | −42.0741 | − | 17.4192i | −1.41671 | − | 0.586534i | ||||
\(883\) | −31.3263 | −1.05421 | −0.527107 | − | 0.849799i | \(-0.676723\pi\) | ||||
−0.527107 | + | 0.849799i | \(0.676723\pi\) | |||||||
\(884\) | −6.93178 | + | 17.6619i | −0.233141 | + | 0.594033i | ||||
\(885\) | −0.819961 | + | 14.0324i | −0.0275627 | + | 0.471694i | ||||
\(886\) | 20.0711 | + | 18.6233i | 0.674302 | + | 0.625661i | ||||
\(887\) | −18.5566 | + | 8.93639i | −0.623070 | + | 0.300055i | −0.718655 | − | 0.695367i | \(-0.755242\pi\) |
0.0955853 | + | 0.995421i | \(0.469528\pi\) | |||||||
\(888\) | −0.937075 | + | 0.661701i | −0.0314462 | + | 0.0222052i | ||||
\(889\) | −11.4831 | + | 6.81018i | −0.385131 | + | 0.228406i | ||||
\(890\) | 56.9946 | − | 27.4471i | 1.91046 | − | 0.920030i | ||||
\(891\) | −20.4924 | + | 29.4788i | −0.686520 | + | 0.987578i | ||||
\(892\) | −2.74181 | − | 36.5870i | −0.0918027 | − | 1.22502i | ||||
\(893\) | 20.1611 | + | 25.2813i | 0.674666 | + | 0.846005i | ||||
\(894\) | −27.5222 | + | 26.3916i | −0.920481 | + | 0.882668i | ||||
\(895\) | −14.7164 | + | 37.4967i | −0.491914 | + | 1.25338i | ||||
\(896\) | −20.3086 | + | 22.4078i | −0.678462 | + | 0.748592i | ||||
\(897\) | 11.8507 | + | 1.58751i | 0.395683 | + | 0.0530056i | ||||
\(898\) | −0.392781 | − | 5.24130i | −0.0131073 | − | 0.174904i | ||||
\(899\) | −18.9254 | + | 17.5602i | −0.631198 | + | 0.585666i | ||||
\(900\) | −26.5550 | + | 49.6977i | −0.885166 | + | 1.65659i | ||||
\(901\) | 1.74249 | − | 3.01809i | 0.0580509 | − | 0.100547i | ||||
\(902\) | −55.0448 | − | 16.9791i | −1.83279 | − | 0.565341i | ||||
\(903\) | 16.5860 | + | 3.29767i | 0.551947 | + | 0.109740i | ||||
\(904\) | −29.0109 | + | 8.94868i | −0.964889 | + | 0.297629i | ||||
\(905\) | −10.9437 | + | 47.9474i | −0.363780 | + | 1.59382i | ||||
\(906\) | −8.34094 | − | 1.11735i | −0.277109 | − | 0.0371215i | ||||
\(907\) | 27.8410 | − | 34.9115i | 0.924444 | − | 1.15922i | −0.0624830 | − | 0.998046i | \(-0.519902\pi\) |
0.986927 | − | 0.161170i | \(-0.0515267\pi\) | |||||||
\(908\) | 36.8196 | + | 34.1636i | 1.22190 | + | 1.13376i | ||||
\(909\) | 4.10897 | − | 21.1900i | 0.136286 | − | 0.702827i | ||||
\(910\) | 1.14233 | + | 97.6017i | 0.0378678 | + | 3.23547i | ||||
\(911\) | 2.85876 | + | 0.881811i | 0.0947149 | + | 0.0292157i | 0.341750 | − | 0.939791i | \(-0.388980\pi\) |
−0.247036 | + | 0.969006i | \(0.579456\pi\) | |||||||
\(912\) | 28.8674 | − | 0.474413i | 0.955895 | − | 0.0157094i | ||||
\(913\) | 16.5753 | − | 28.7093i | 0.548563 | − | 0.950140i | ||||
\(914\) | −30.0875 | − | 9.28076i | −0.995206 | − | 0.306980i | ||||
\(915\) | 2.14935 | + | 23.4936i | 0.0710553 | + | 0.776675i | ||||
\(916\) | 12.4154 | + | 31.6339i | 0.410216 | + | 1.04521i | ||||
\(917\) | 8.07834 | − | 58.2110i | 0.266770 | − | 1.92230i | ||||
\(918\) | 15.7590 | − | 3.17642i | 0.520124 | − | 0.104838i | ||||
\(919\) | −33.6712 | − | 10.3862i | −1.11071 | − | 0.342609i | −0.315489 | − | 0.948929i | \(-0.602169\pi\) |
−0.795220 | + | 0.606321i | \(0.792645\pi\) | |||||||
\(920\) | −4.60337 | − | 5.77244i | −0.151768 | − | 0.190312i | ||||
\(921\) | −45.9600 | − | 21.2100i | −1.51443 | − | 0.698892i | ||||
\(922\) | 43.4268 | − | 54.4554i | 1.43018 | − | 1.79339i | ||||
\(923\) | −38.5730 | − | 26.2986i | −1.26965 | − | 0.865630i | ||||
\(924\) | 37.7380 | − | 31.8724i | 1.24149 | − | 1.04853i | ||||
\(925\) | −2.49813 | + | 1.70320i | −0.0821381 | + | 0.0560008i | ||||
\(926\) | 3.14893 | − | 42.0196i | 0.103480 | − | 1.38085i | ||||
\(927\) | 6.97426 | − | 35.9663i | 0.229065 | − | 1.18129i | ||||
\(928\) | −32.7560 | − | 22.3327i | −1.07527 | − | 0.733106i | ||||
\(929\) | −0.474899 | + | 1.21002i | −0.0155809 | + | 0.0396996i | −0.938453 | − | 0.345408i | \(-0.887740\pi\) |
0.922872 | + | 0.385108i | \(0.125836\pi\) | |||||||
\(930\) | −64.2919 | + | 1.05659i | −2.10822 | + | 0.0346469i | ||||
\(931\) | −5.44108 | − | 55.2261i | −0.178324 | − | 1.80996i | ||||
\(932\) | 4.37706 | + | 7.58129i | 0.143375 | + | 0.248333i | ||||
\(933\) | 5.34625 | − | 0.895899i | 0.175028 | − | 0.0293304i | ||||
\(934\) | −58.8365 | + | 28.3342i | −1.92519 | + | 0.927122i | ||||
\(935\) | 18.8010 | − | 5.79935i | 0.614860 | − | 0.189659i | ||||
\(936\) | −18.9801 | − | 12.0464i | −0.620385 | − | 0.393748i | ||||
\(937\) | 17.9146 | + | 8.62719i | 0.585243 | + | 0.281838i | 0.702983 | − | 0.711206i | \(-0.251851\pi\) |
−0.117740 | + | 0.993044i | \(0.537565\pi\) | |||||||
\(938\) | −35.3678 | + | 53.2023i | −1.15480 | + | 1.73712i | ||||
\(939\) | −7.87267 | − | 5.18007i | −0.256915 | − | 0.169045i | ||||
\(940\) | 23.7565 | − | 29.7898i | 0.774853 | − | 0.971635i | ||||
\(941\) | 0.710672 | − | 0.484528i | 0.0231672 | − | 0.0157952i | −0.551681 | − | 0.834055i | \(-0.686013\pi\) |
0.574848 | + | 0.818260i | \(0.305061\pi\) | |||||||
\(942\) | 20.9221 | + | 25.3688i | 0.681679 | + | 0.826562i | ||||
\(943\) | 6.84732 | − | 6.35338i | 0.222979 | − | 0.206895i | ||||
\(944\) | −3.07753 | − | 3.85910i | −0.100165 | − | 0.125603i | ||||
\(945\) | 39.6334 | − | 26.2280i | 1.28928 | − | 0.853196i | ||||
\(946\) | −19.9022 | + | 24.9566i | −0.647078 | + | 0.811410i | ||||
\(947\) | −1.69587 | − | 22.6299i | −0.0551085 | − | 0.735372i | −0.954497 | − | 0.298221i | \(-0.903607\pi\) |
0.899388 | − | 0.437151i | \(-0.144012\pi\) | |||||||
\(948\) | 13.9411 | + | 56.7636i | 0.452785 | + | 1.84359i | ||||
\(949\) | −6.46200 | + | 11.1925i | −0.209765 | + | 0.363324i | ||||
\(950\) | −119.490 | −3.87678 | ||||||||
\(951\) | −3.00077 | + | 2.87750i | −0.0973065 | + | 0.0933093i | ||||
\(952\) | −5.73613 | − | 0.362410i | −0.185909 | − | 0.0117458i | ||||
\(953\) | −3.47218 | + | 15.2126i | −0.112475 | + | 0.492784i | 0.887042 | + | 0.461689i | \(0.152757\pi\) |
−0.999516 | + | 0.0310948i | \(0.990101\pi\) | |||||||
\(954\) | 11.9971 | + | 10.4194i | 0.388422 | + | 0.337342i | ||||
\(955\) | 6.46937 | + | 0.975101i | 0.209344 | + | 0.0315535i | ||||
\(956\) | −23.9668 | + | 30.0535i | −0.775143 | + | 0.971998i | ||||
\(957\) | 26.8033 | + | 24.0624i | 0.866427 | + | 0.777827i | ||||
\(958\) | −3.75086 | + | 1.15699i | −0.121185 | + | 0.0373805i | ||||
\(959\) | −4.04515 | + | 29.1485i | −0.130625 | + | 0.941255i | ||||
\(960\) | −17.5447 | − | 71.4365i | −0.566253 | − | 2.30560i | ||||
\(961\) | 3.23745 | + | 5.60743i | 0.104434 | + | 0.180885i | ||||
\(962\) | −2.32102 | − | 4.02012i | −0.0748326 | − | 0.129614i | ||||
\(963\) | −32.6127 | − | 8.89725i | −1.05093 | − | 0.286710i | ||||
\(964\) | −59.7907 | + | 40.7646i | −1.92573 | + | 1.31294i | ||||
\(965\) | −1.35793 | − | 3.45995i | −0.0437134 | − | 0.111380i | ||||
\(966\) | 2.46434 | + | 13.7189i | 0.0792888 | + | 0.441398i | ||||
\(967\) | 5.27969 | − | 13.4524i | 0.169783 | − | 0.432601i | −0.820503 | − | 0.571642i | \(-0.806307\pi\) |
0.990287 | + | 0.139041i | \(0.0444020\pi\) | |||||||
\(968\) | 1.66453 | + | 7.29279i | 0.0535000 | + | 0.234399i | ||||
\(969\) | 12.4646 | + | 15.1138i | 0.400421 | + | 0.485526i | ||||
\(970\) | 75.3062 | + | 36.2656i | 2.41794 | + | 1.16442i | ||||
\(971\) | 4.63593 | + | 11.8121i | 0.148774 | + | 0.379070i | 0.985761 | − | 0.168153i | \(-0.0537803\pi\) |
−0.836987 | + | 0.547223i | \(0.815685\pi\) | |||||||
\(972\) | 0.310183 | + | 42.1215i | 0.00994912 | + | 1.35105i | ||||
\(973\) | 7.12709 | − | 24.1034i | 0.228484 | − | 0.772721i | ||||
\(974\) | −26.7333 | + | 18.2265i | −0.856590 | + | 0.584013i | ||||
\(975\) | −49.4966 | − | 32.5679i | −1.58516 | − | 1.04301i | ||||
\(976\) | −6.07289 | − | 5.63482i | −0.194389 | − | 0.180366i | ||||
\(977\) | 2.37822 | − | 31.7351i | 0.0760860 | − | 1.01530i | −0.820274 | − | 0.571970i | \(-0.806179\pi\) |
0.896360 | − | 0.443326i | \(-0.146202\pi\) | |||||||
\(978\) | 31.7338 | + | 38.4785i | 1.01474 | + | 1.23041i | ||||
\(979\) | 16.8313 | − | 29.1527i | 0.537931 | − | 0.931724i | ||||
\(980\) | −62.0166 | + | 20.7312i | −1.98105 | + | 0.662233i | ||||
\(981\) | 18.4736 | + | 29.6987i | 0.589817 | + | 0.948205i | ||||
\(982\) | 23.5284 | − | 3.54634i | 0.750822 | − | 0.113168i | ||||
\(983\) | −11.8124 | + | 5.68857i | −0.376758 | + | 0.181437i | −0.612673 | − | 0.790337i | \(-0.709906\pi\) |
0.235915 | + | 0.971774i | \(0.424191\pi\) | |||||||
\(984\) | −16.6947 | + | 5.45163i | −0.532207 | + | 0.173792i | ||||
\(985\) | 16.2841 | − | 7.84203i | 0.518856 | − | 0.249868i | ||||
\(986\) | −1.20530 | − | 16.0836i | −0.0383845 | − | 0.512206i | ||||
\(987\) | −17.2007 | + | 7.31567i | −0.547504 | + | 0.232860i | ||||
\(988\) | 7.87846 | − | 105.131i | 0.250647 | − | 3.34465i | ||||
\(989\) | −1.89106 | − | 4.81833i | −0.0601321 | − | 0.153214i | ||||
\(990\) | 9.64007 | + | 89.1912i | 0.306382 | + | 2.83468i | ||||
\(991\) | 22.4111 | − | 57.1026i | 0.711913 | − | 1.81392i | 0.146323 | − | 0.989237i | \(-0.453256\pi\) |
0.565590 | − | 0.824687i | \(-0.308649\pi\) | |||||||
\(992\) | 27.6070 | − | 25.6156i | 0.876525 | − | 0.813296i | ||||
\(993\) | 9.55343 | − | 25.5694i | 0.303169 | − | 0.811421i | ||||
\(994\) | 15.4319 | − | 52.1898i | 0.489470 | − | 1.65536i | ||||
\(995\) | −68.2706 | − | 10.2901i | −2.16432 | − | 0.326219i | ||||
\(996\) | −3.54355 | − | 38.7331i | −0.112282 | − | 1.22730i | ||||
\(997\) | −3.90293 | − | 17.0998i | −0.123607 | − | 0.541557i | −0.998373 | − | 0.0570126i | \(-0.981842\pi\) |
0.874767 | − | 0.484545i | \(-0.161015\pi\) | |||||||
\(998\) | 7.50810 | + | 13.0044i | 0.237665 | + | 0.411647i | ||||
\(999\) | −1.03228 | + | 2.01073i | −0.0326600 | + | 0.0636166i |
(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 | 441.2.z.a.142.8 | yes | 648 | |
9.4 | even | 3 | 441.2.y.a.436.8 | yes | 648 | ||
49.39 | even | 21 | 441.2.y.a.88.8 | ✓ | 648 | ||
441.382 | even | 21 | inner | 441.2.z.a.382.8 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.y.a.88.8 | ✓ | 648 | 49.39 | even | 21 | ||
441.2.y.a.436.8 | yes | 648 | 9.4 | even | 3 | ||
441.2.z.a.142.8 | yes | 648 | 1.1 | even | 1 | trivial | |
441.2.z.a.382.8 | yes | 648 | 441.382 | even | 21 | inner |