Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [370,2,Mod(99,370)]
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, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("370.99");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 370 = 2 \cdot 5 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 370.v (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: | \(60\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 289.4 | ||
Character | \(\chi\) | \(=\) | 370.289 |
Dual form | 370.2.v.b.169.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).
\(n\) | \(261\) | \(297\) |
\(\chi(n)\) | \(e\left(\frac{7}{18}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.939693 | − | 0.342020i | 0.664463 | − | 0.241845i | ||||
\(3\) | −0.400420 | + | 1.10014i | −0.231182 | + | 0.635169i | −0.999991 | − | 0.00431076i | \(-0.998628\pi\) |
0.768808 | + | 0.639479i | \(0.220850\pi\) | |||||||
\(4\) | 0.766044 | − | 0.642788i | 0.383022 | − | 0.321394i | ||||
\(5\) | −0.0612182 | + | 2.23523i | −0.0273776 | + | 0.999625i | ||||
\(6\) | 1.17075i | 0.477956i | ||||||||
\(7\) | −3.81475 | + | 0.672643i | −1.44184 | + | 0.254235i | −0.839219 | − | 0.543794i | \(-0.816987\pi\) |
−0.602620 | + | 0.798029i | \(0.705876\pi\) | |||||||
\(8\) | 0.500000 | − | 0.866025i | 0.176777 | − | 0.306186i | ||||
\(9\) | 1.24815 | + | 1.04732i | 0.416051 | + | 0.349108i | ||||
\(10\) | 0.706967 | + | 2.12137i | 0.223563 | + | 0.670835i | ||||
\(11\) | −1.57993 | + | 2.73651i | −0.476366 | + | 0.825090i | −0.999633 | − | 0.0270785i | \(-0.991380\pi\) |
0.523267 | + | 0.852169i | \(0.324713\pi\) | |||||||
\(12\) | 0.400420 | + | 1.10014i | 0.115591 | + | 0.317584i | ||||
\(13\) | −1.40293 | + | 1.17720i | −0.389102 | + | 0.326496i | −0.816263 | − | 0.577680i | \(-0.803958\pi\) |
0.427161 | + | 0.904176i | \(0.359514\pi\) | |||||||
\(14\) | −3.35463 | + | 1.93680i | −0.896563 | + | 0.517631i | ||||
\(15\) | −2.43456 | − | 0.962379i | −0.628601 | − | 0.248485i | ||||
\(16\) | 0.173648 | − | 0.984808i | 0.0434120 | − | 0.246202i | ||||
\(17\) | 4.46534 | + | 3.74687i | 1.08300 | + | 0.908748i | 0.996167 | − | 0.0874741i | \(-0.0278795\pi\) |
0.0868373 | + | 0.996223i | \(0.472324\pi\) | |||||||
\(18\) | 1.53108 | + | 0.557269i | 0.360880 | + | 0.131350i | ||||
\(19\) | 2.67996 | − | 7.36313i | 0.614825 | − | 1.68922i | −0.104484 | − | 0.994527i | \(-0.533319\pi\) |
0.719309 | − | 0.694690i | \(-0.244459\pi\) | |||||||
\(20\) | 1.38988 | + | 1.75164i | 0.310787 | + | 0.391678i | ||||
\(21\) | 0.787496 | − | 4.46611i | 0.171846 | − | 0.974585i | ||||
\(22\) | −0.548703 | + | 3.11185i | −0.116984 | + | 0.663448i | ||||
\(23\) | 0.0262094 | + | 0.0453960i | 0.00546504 | + | 0.00946572i | 0.868745 | − | 0.495260i | \(-0.164927\pi\) |
−0.863280 | + | 0.504725i | \(0.831594\pi\) | |||||||
\(24\) | 0.752543 | + | 0.896846i | 0.153612 | + | 0.183068i | ||||
\(25\) | −4.99250 | − | 0.273673i | −0.998501 | − | 0.0547347i | ||||
\(26\) | −0.915697 | + | 1.58603i | −0.179583 | + | 0.311047i | ||||
\(27\) | −4.69369 | + | 2.70990i | −0.903301 | + | 0.521521i | ||||
\(28\) | −2.48990 | + | 2.96735i | −0.470547 | + | 0.560776i | ||||
\(29\) | 3.42104 | + | 1.97514i | 0.635270 | + | 0.366774i | 0.782790 | − | 0.622286i | \(-0.213796\pi\) |
−0.147520 | + | 0.989059i | \(0.547129\pi\) | |||||||
\(30\) | −2.61689 | − | 0.0716712i | −0.477777 | − | 0.0130853i | ||||
\(31\) | 1.88120i | 0.337874i | 0.985627 | + | 0.168937i | \(0.0540334\pi\) | ||||
−0.985627 | + | 0.168937i | \(0.945967\pi\) | |||||||
\(32\) | −0.173648 | − | 0.984808i | −0.0306970 | − | 0.174091i | ||||
\(33\) | −2.37793 | − | 2.83390i | −0.413944 | − | 0.493319i | ||||
\(34\) | 5.47755 | + | 1.99367i | 0.939392 | + | 0.341911i | ||||
\(35\) | −1.26998 | − | 8.56801i | −0.214666 | − | 1.44826i | ||||
\(36\) | 1.62935 | 0.271558 | ||||||||
\(37\) | 5.80760 | + | 1.80882i | 0.954763 | + | 0.297369i | ||||
\(38\) | − | 7.83567i | − | 1.27111i | ||||||
\(39\) | −0.733326 | − | 2.01480i | −0.117426 | − | 0.322626i | ||||
\(40\) | 1.90516 | + | 1.17063i | 0.301232 | + | 0.185093i | ||||
\(41\) | 2.75128 | − | 2.30860i | 0.429678 | − | 0.360543i | −0.402152 | − | 0.915573i | \(-0.631738\pi\) |
0.831830 | + | 0.555030i | \(0.187293\pi\) | |||||||
\(42\) | −0.787496 | − | 4.46611i | −0.121513 | − | 0.689136i | ||||
\(43\) | 2.80385 | 0.427583 | 0.213792 | − | 0.976879i | \(-0.431419\pi\) | ||||
0.213792 | + | 0.976879i | \(0.431419\pi\) | |||||||
\(44\) | 0.548703 | + | 3.11185i | 0.0827201 | + | 0.469129i | ||||
\(45\) | −2.41742 | + | 2.72579i | −0.360367 | + | 0.406337i | ||||
\(46\) | 0.0401551 | + | 0.0336941i | 0.00592055 | + | 0.00496793i | ||||
\(47\) | 9.42768 | − | 5.44307i | 1.37517 | − | 0.793954i | 0.383595 | − | 0.923502i | \(-0.374686\pi\) |
0.991573 | + | 0.129548i | \(0.0413526\pi\) | |||||||
\(48\) | 1.01390 | + | 0.585375i | 0.146344 | + | 0.0844915i | ||||
\(49\) | 7.52199 | − | 2.73778i | 1.07457 | − | 0.391112i | ||||
\(50\) | −4.78502 | + | 1.45037i | −0.676704 | + | 0.205113i | ||||
\(51\) | −5.91010 | + | 3.41220i | −0.827580 | + | 0.477804i | ||||
\(52\) | −0.318018 | + | 1.80357i | −0.0441012 | + | 0.250110i | ||||
\(53\) | −12.8005 | − | 2.25707i | −1.75828 | − | 0.310033i | −0.800887 | − | 0.598815i | \(-0.795638\pi\) |
−0.957395 | + | 0.288783i | \(0.906750\pi\) | |||||||
\(54\) | −3.48378 | + | 4.15181i | −0.474083 | + | 0.564990i | ||||
\(55\) | −6.02002 | − | 3.69902i | −0.811739 | − | 0.498776i | ||||
\(56\) | −1.32485 | + | 3.63999i | −0.177040 | + | 0.486414i | ||||
\(57\) | 7.02739 | + | 5.89668i | 0.930801 | + | 0.781035i | ||||
\(58\) | 3.89026 | + | 0.685958i | 0.510816 | + | 0.0900706i | ||||
\(59\) | 12.1068 | + | 2.13476i | 1.57618 | + | 0.277922i | 0.892220 | − | 0.451601i | \(-0.149147\pi\) |
0.683956 | + | 0.729524i | \(0.260258\pi\) | |||||||
\(60\) | −2.48359 | + | 0.827681i | −0.320630 | + | 0.106853i | ||||
\(61\) | 0.0728097 | + | 0.0867712i | 0.00932233 | + | 0.0111099i | 0.770685 | − | 0.637216i | \(-0.219914\pi\) |
−0.761363 | + | 0.648326i | \(0.775470\pi\) | |||||||
\(62\) | 0.643409 | + | 1.76775i | 0.0817130 | + | 0.224505i | ||||
\(63\) | −5.46586 | − | 3.15571i | −0.688633 | − | 0.397583i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | −2.54542 | − | 3.20793i | −0.315721 | − | 0.397895i | ||||
\(66\) | −3.20377 | − | 1.84970i | −0.394357 | − | 0.227682i | ||||
\(67\) | 4.55499 | − | 0.803167i | 0.556480 | − | 0.0981225i | 0.111667 | − | 0.993746i | \(-0.464381\pi\) |
0.444813 | + | 0.895623i | \(0.353270\pi\) | |||||||
\(68\) | 5.82909 | 0.706881 | ||||||||
\(69\) | −0.0604369 | + | 0.0106567i | −0.00727575 | + | 0.00128291i | ||||
\(70\) | −4.12382 | − | 7.61694i | −0.492891 | − | 0.910398i | ||||
\(71\) | −12.4415 | − | 4.52834i | −1.47654 | − | 0.537416i | −0.526670 | − | 0.850070i | \(-0.676560\pi\) |
−0.949867 | + | 0.312654i | \(0.898782\pi\) | |||||||
\(72\) | 1.53108 | − | 0.557269i | 0.180440 | − | 0.0656748i | ||||
\(73\) | − | 4.68205i | − | 0.547992i | −0.961731 | − | 0.273996i | \(-0.911654\pi\) | ||
0.961731 | − | 0.273996i | \(-0.0883456\pi\) | |||||||
\(74\) | 6.07601 | − | 0.286577i | 0.706322 | − | 0.0333140i | ||||
\(75\) | 2.30018 | − | 5.38289i | 0.265602 | − | 0.621563i | ||||
\(76\) | −2.67996 | − | 7.36313i | −0.307412 | − | 0.844608i | ||||
\(77\) | 4.18633 | − | 11.5018i | 0.477076 | − | 1.31076i | ||||
\(78\) | −1.37820 | − | 1.64248i | −0.156051 | − | 0.185974i | ||||
\(79\) | −5.72931 | + | 1.01023i | −0.644598 | + | 0.113660i | −0.486384 | − | 0.873745i | \(-0.661685\pi\) |
−0.158214 | + | 0.987405i | \(0.550573\pi\) | |||||||
\(80\) | 2.19064 | + | 0.448432i | 0.244921 | + | 0.0501362i | ||||
\(81\) | −0.253039 | − | 1.43505i | −0.0281154 | − | 0.159450i | ||||
\(82\) | 1.79577 | − | 3.11037i | 0.198310 | − | 0.343483i | ||||
\(83\) | 0.100220 | − | 0.119438i | 0.0110006 | − | 0.0131100i | −0.760516 | − | 0.649319i | \(-0.775054\pi\) |
0.771517 | + | 0.636209i | \(0.219498\pi\) | |||||||
\(84\) | −2.26750 | − | 3.92743i | −0.247405 | − | 0.428518i | ||||
\(85\) | −8.64847 | + | 9.75169i | −0.938058 | + | 1.05772i | ||||
\(86\) | 2.63476 | − | 0.958973i | 0.284113 | − | 0.103409i | ||||
\(87\) | −3.54279 | + | 2.97275i | −0.379826 | + | 0.318712i | ||||
\(88\) | 1.57993 | + | 2.73651i | 0.168421 | + | 0.291713i | ||||
\(89\) | 2.80059 | + | 0.493820i | 0.296862 | + | 0.0523449i | 0.320096 | − | 0.947385i | \(-0.396285\pi\) |
−0.0232333 | + | 0.999730i | \(0.507396\pi\) | |||||||
\(90\) | −1.33936 | + | 3.38821i | −0.141180 | + | 0.357149i | ||||
\(91\) | 4.55998 | − | 5.43438i | 0.478016 | − | 0.569678i | ||||
\(92\) | 0.0492576 | + | 0.0179283i | 0.00513545 | + | 0.00186915i | ||||
\(93\) | −2.06959 | − | 0.753270i | −0.214607 | − | 0.0781105i | ||||
\(94\) | 6.99748 | − | 8.33927i | 0.721735 | − | 0.860130i | ||||
\(95\) | 16.2942 | + | 6.44108i | 1.67175 | + | 0.660841i | ||||
\(96\) | 1.15296 | + | 0.203298i | 0.117674 | + | 0.0207491i | ||||
\(97\) | −8.58698 | − | 14.8731i | −0.871876 | − | 1.51013i | −0.860054 | − | 0.510204i | \(-0.829570\pi\) |
−0.0118226 | − | 0.999930i | \(-0.503763\pi\) | |||||||
\(98\) | 6.13199 | − | 5.14535i | 0.619424 | − | 0.519759i | ||||
\(99\) | −4.83800 | + | 1.76089i | −0.486238 | + | 0.176976i | ||||
\(100\) | −4.00039 | + | 2.99947i | −0.400039 | + | 0.299947i | ||||
\(101\) | 4.22216 | + | 7.31300i | 0.420121 | + | 0.727670i | 0.995951 | − | 0.0898990i | \(-0.0286544\pi\) |
−0.575830 | + | 0.817569i | \(0.695321\pi\) | |||||||
\(102\) | −4.38664 | + | 5.22779i | −0.434342 | + | 0.517629i | ||||
\(103\) | −1.21290 | + | 2.10081i | −0.119511 | + | 0.206999i | −0.919574 | − | 0.392917i | \(-0.871466\pi\) |
0.800063 | + | 0.599916i | \(0.204799\pi\) | |||||||
\(104\) | 0.318018 | + | 1.80357i | 0.0311842 | + | 0.176855i | ||||
\(105\) | 9.93458 | + | 2.03364i | 0.969515 | + | 0.198463i | ||||
\(106\) | −12.8005 | + | 2.25707i | −1.24329 | + | 0.219226i | ||||
\(107\) | 1.73125 | + | 2.06323i | 0.167367 | + | 0.199460i | 0.843208 | − | 0.537587i | \(-0.180664\pi\) |
−0.675842 | + | 0.737047i | \(0.736220\pi\) | |||||||
\(108\) | −1.85368 | + | 5.09295i | −0.178371 | + | 0.490069i | ||||
\(109\) | 6.74310 | + | 18.5265i | 0.645872 | + | 1.77452i | 0.632441 | + | 0.774608i | \(0.282053\pi\) |
0.0134304 | + | 0.999910i | \(0.495725\pi\) | |||||||
\(110\) | −6.92211 | − | 1.41698i | −0.659997 | − | 0.135104i | ||||
\(111\) | −4.31544 | + | 5.66490i | −0.409604 | + | 0.537689i | ||||
\(112\) | 3.87360i | 0.366020i | ||||||||
\(113\) | 10.9126 | − | 3.97185i | 1.02657 | − | 0.373640i | 0.226795 | − | 0.973943i | \(-0.427175\pi\) |
0.799773 | + | 0.600303i | \(0.204953\pi\) | |||||||
\(114\) | 8.62037 | + | 3.13756i | 0.807372 | + | 0.293859i | ||||
\(115\) | −0.103075 | + | 0.0558050i | −0.00961179 | + | 0.00520384i | ||||
\(116\) | 3.89026 | − | 0.685958i | 0.361201 | − | 0.0636896i | ||||
\(117\) | −2.98397 | −0.275869 | ||||||||
\(118\) | 12.1068 | − | 2.13476i | 1.11452 | − | 0.196521i | ||||
\(119\) | −19.5544 | − | 11.2898i | −1.79255 | − | 1.03493i | ||||
\(120\) | −2.05073 | + | 1.62720i | −0.187205 | + | 0.148543i | ||||
\(121\) | 0.507660 | + | 0.879293i | 0.0461509 | + | 0.0799357i | ||||
\(122\) | 0.0980962 | + | 0.0566359i | 0.00888122 | + | 0.00512757i | ||||
\(123\) | 1.43812 | + | 3.95122i | 0.129671 | + | 0.356269i | ||||
\(124\) | 1.20921 | + | 1.44108i | 0.108591 | + | 0.129413i | ||||
\(125\) | 0.917355 | − | 11.1426i | 0.0820508 | − | 0.996628i | ||||
\(126\) | −6.21554 | − | 1.09597i | −0.553725 | − | 0.0976366i | ||||
\(127\) | −11.3628 | − | 2.00358i | −1.00829 | − | 0.177789i | −0.354975 | − | 0.934876i | \(-0.615511\pi\) |
−0.653314 | + | 0.757087i | \(0.726622\pi\) | |||||||
\(128\) | −0.766044 | − | 0.642788i | −0.0677094 | − | 0.0568149i | ||||
\(129\) | −1.12272 | + | 3.08464i | −0.0988497 | + | 0.271587i | ||||
\(130\) | −3.48909 | − | 2.14389i | −0.306014 | − | 0.188031i | ||||
\(131\) | 1.27569 | − | 1.52031i | 0.111457 | − | 0.132830i | −0.707431 | − | 0.706782i | \(-0.750146\pi\) |
0.818889 | + | 0.573952i | \(0.194591\pi\) | |||||||
\(132\) | −3.64319 | − | 0.642394i | −0.317099 | − | 0.0559132i | ||||
\(133\) | −5.27061 | + | 29.8911i | −0.457020 | + | 2.59189i | ||||
\(134\) | 4.00559 | − | 2.31263i | 0.346030 | − | 0.199781i | ||||
\(135\) | −5.76991 | − | 10.6574i | −0.496595 | − | 0.917240i | ||||
\(136\) | 5.47755 | − | 1.99367i | 0.469696 | − | 0.170955i | ||||
\(137\) | −11.0451 | − | 6.37688i | −0.943644 | − | 0.544813i | −0.0525435 | − | 0.998619i | \(-0.516733\pi\) |
−0.891101 | + | 0.453805i | \(0.850066\pi\) | |||||||
\(138\) | −0.0531473 | + | 0.0306846i | −0.00452420 | + | 0.00261205i | ||||
\(139\) | 11.7633 | + | 9.87061i | 0.997753 | + | 0.837214i | 0.986672 | − | 0.162724i | \(-0.0520281\pi\) |
0.0110816 | + | 0.999939i | \(0.496473\pi\) | |||||||
\(140\) | −6.48027 | − | 5.74715i | −0.547683 | − | 0.485723i | ||||
\(141\) | 2.21314 | + | 12.5513i | 0.186380 | + | 1.05701i | ||||
\(142\) | −13.2400 | −1.11108 | ||||||||
\(143\) | −1.00489 | − | 5.69902i | −0.0840332 | − | 0.476576i | ||||
\(144\) | 1.24815 | − | 1.04732i | 0.104013 | − | 0.0872770i | ||||
\(145\) | −4.62431 | + | 7.52589i | −0.384028 | + | 0.624991i | ||||
\(146\) | −1.60135 | − | 4.39969i | −0.132529 | − | 0.364121i | ||||
\(147\) | 9.37154i | 0.772952i | ||||||||
\(148\) | 5.61156 | − | 2.34741i | 0.461268 | − | 0.192956i | ||||
\(149\) | 8.31712 | 0.681365 | 0.340683 | − | 0.940178i | \(-0.389342\pi\) | ||||
0.340683 | + | 0.940178i | \(0.389342\pi\) | |||||||
\(150\) | 0.320403 | − | 5.84497i | 0.0261608 | − | 0.477240i | ||||
\(151\) | −4.39822 | − | 1.60082i | −0.357922 | − | 0.130273i | 0.156799 | − | 0.987630i | \(-0.449882\pi\) |
−0.514721 | + | 0.857358i | \(0.672105\pi\) | |||||||
\(152\) | −5.03667 | − | 6.00247i | −0.408528 | − | 0.486865i | ||||
\(153\) | 1.64924 | + | 9.35331i | 0.133333 | + | 0.756171i | ||||
\(154\) | − | 12.2400i | − | 0.986327i | ||||||
\(155\) | −4.20492 | − | 0.115164i | −0.337747 | − | 0.00925018i | ||||
\(156\) | −1.85685 | − | 1.07205i | −0.148667 | − | 0.0858328i | ||||
\(157\) | 7.98121 | − | 9.51164i | 0.636970 | − | 0.759111i | −0.346918 | − | 0.937895i | \(-0.612772\pi\) |
0.983888 | + | 0.178784i | \(0.0572163\pi\) | |||||||
\(158\) | −5.03827 | + | 2.90885i | −0.400823 | + | 0.231416i | ||||
\(159\) | 7.60867 | − | 13.1786i | 0.603407 | − | 1.04513i | ||||
\(160\) | 2.21190 | − | 0.327855i | 0.174866 | − | 0.0259192i | ||||
\(161\) | −0.130517 | − | 0.155545i | −0.0102862 | − | 0.0122586i | ||||
\(162\) | −0.728596 | − | 1.26196i | −0.0572439 | − | 0.0991493i | ||||
\(163\) | −3.14656 | + | 17.8450i | −0.246457 | + | 1.39773i | 0.570626 | + | 0.821210i | \(0.306701\pi\) |
−0.817083 | + | 0.576519i | \(0.804411\pi\) | |||||||
\(164\) | 0.623665 | − | 3.53698i | 0.0487000 | − | 0.276192i | ||||
\(165\) | 6.48000 | − | 5.14173i | 0.504467 | − | 0.400283i | ||||
\(166\) | 0.0533260 | − | 0.146512i | 0.00413890 | − | 0.0113715i | ||||
\(167\) | 13.2553 | + | 4.82455i | 1.02573 | + | 0.373335i | 0.799453 | − | 0.600728i | \(-0.205123\pi\) |
0.226276 | + | 0.974063i | \(0.427345\pi\) | |||||||
\(168\) | −3.47402 | − | 2.91505i | −0.268026 | − | 0.224901i | ||||
\(169\) | −1.67501 | + | 9.49945i | −0.128847 | + | 0.730727i | ||||
\(170\) | −4.79163 | + | 12.1215i | −0.367501 | + | 0.929679i | ||||
\(171\) | 11.0566 | − | 6.38351i | 0.845517 | − | 0.488160i | ||||
\(172\) | 2.14787 | − | 1.80228i | 0.163774 | − | 0.137423i | ||||
\(173\) | 0.942189 | + | 2.58864i | 0.0716333 | + | 0.196811i | 0.970343 | − | 0.241734i | \(-0.0777162\pi\) |
−0.898709 | + | 0.438545i | \(0.855494\pi\) | |||||||
\(174\) | −2.31239 | + | 4.00517i | −0.175302 | + | 0.303632i | ||||
\(175\) | 19.2292 | − | 2.31418i | 1.45359 | − | 0.174935i | ||||
\(176\) | 2.42059 | + | 2.03112i | 0.182459 | + | 0.153101i | ||||
\(177\) | −7.19636 | + | 12.4645i | −0.540912 | + | 0.936886i | ||||
\(178\) | 2.80059 | − | 0.493820i | 0.209913 | − | 0.0370134i | ||||
\(179\) | − | 6.88706i | − | 0.514763i | −0.966310 | − | 0.257382i | \(-0.917140\pi\) | ||
0.966310 | − | 0.257382i | \(-0.0828598\pi\) | |||||||
\(180\) | −0.0997457 | + | 3.64196i | −0.00743460 | + | 0.271456i | ||||
\(181\) | 4.29631 | − | 3.60503i | 0.319342 | − | 0.267960i | −0.468998 | − | 0.883199i | \(-0.655385\pi\) |
0.788340 | + | 0.615239i | \(0.210941\pi\) | |||||||
\(182\) | 2.42632 | − | 6.66625i | 0.179851 | − | 0.494135i | ||||
\(183\) | −0.124615 | + | 0.0453563i | −0.00921183 | + | 0.00335283i | ||||
\(184\) | 0.0524188 | 0.00386436 | ||||||||
\(185\) | −4.39866 | + | 12.8706i | −0.323396 | + | 0.946264i | ||||
\(186\) | −2.20241 | −0.161489 | ||||||||
\(187\) | −17.3083 | + | 6.29969i | −1.26571 | + | 0.460679i | ||||
\(188\) | 3.72328 | − | 10.2296i | 0.271548 | − | 0.746072i | ||||
\(189\) | 16.0824 | − | 13.4948i | 1.16982 | − | 0.981600i | ||||
\(190\) | 17.5145 | + | 0.479686i | 1.27064 | + | 0.0348001i | ||||
\(191\) | − | 13.3454i | − | 0.965637i | −0.875721 | − | 0.482818i | \(-0.839613\pi\) | ||
0.875721 | − | 0.482818i | \(-0.160387\pi\) | |||||||
\(192\) | 1.15296 | − | 0.203298i | 0.0832079 | − | 0.0146718i | ||||
\(193\) | 3.14471 | − | 5.44680i | 0.226361 | − | 0.392069i | −0.730366 | − | 0.683056i | \(-0.760650\pi\) |
0.956727 | + | 0.290987i | \(0.0939837\pi\) | |||||||
\(194\) | −13.1560 | − | 11.0392i | −0.944547 | − | 0.792569i | ||||
\(195\) | 4.54843 | − | 1.51581i | 0.325720 | − | 0.108549i | ||||
\(196\) | 4.00237 | − | 6.93231i | 0.285884 | − | 0.495165i | ||||
\(197\) | 5.08518 | + | 13.9714i | 0.362304 | + | 0.995422i | 0.978213 | + | 0.207604i | \(0.0665667\pi\) |
−0.615909 | + | 0.787817i | \(0.711211\pi\) | |||||||
\(198\) | −3.94398 | + | 3.30939i | −0.280286 | + | 0.235188i | ||||
\(199\) | −10.4111 | + | 6.01084i | −0.738022 | + | 0.426097i | −0.821350 | − | 0.570425i | \(-0.806779\pi\) |
0.0833276 | + | 0.996522i | \(0.473445\pi\) | |||||||
\(200\) | −2.73326 | + | 4.18680i | −0.193271 | + | 0.296051i | ||||
\(201\) | −0.940307 | + | 5.33275i | −0.0663242 | + | 0.376143i | ||||
\(202\) | 6.46872 | + | 5.42790i | 0.455138 | + | 0.381906i | ||||
\(203\) | −14.3789 | − | 5.23351i | −1.00920 | − | 0.367320i | ||||
\(204\) | −2.33408 | + | 6.41284i | −0.163418 | + | 0.448988i | ||||
\(205\) | 4.99182 | + | 6.29107i | 0.348644 | + | 0.439388i | ||||
\(206\) | −0.421236 | + | 2.38895i | −0.0293489 | + | 0.166446i | ||||
\(207\) | −0.0148310 | + | 0.0841108i | −0.00103083 | + | 0.00584611i | ||||
\(208\) | 0.915697 | + | 1.58603i | 0.0634921 | + | 0.109972i | ||||
\(209\) | 15.9152 | + | 18.9669i | 1.10087 | + | 1.31197i | ||||
\(210\) | 10.0310 | − | 1.48683i | 0.692204 | − | 0.102601i | ||||
\(211\) | −11.9726 | + | 20.7372i | −0.824231 | + | 1.42761i | 0.0782753 | + | 0.996932i | \(0.475059\pi\) |
−0.902506 | + | 0.430678i | \(0.858275\pi\) | |||||||
\(212\) | −11.2566 | + | 6.49898i | −0.773104 | + | 0.446352i | ||||
\(213\) | 9.96366 | − | 11.8742i | 0.682699 | − | 0.813609i | ||||
\(214\) | 2.33251 | + | 1.34668i | 0.159447 | + | 0.0920568i | ||||
\(215\) | −0.171647 | + | 6.26725i | −0.0117062 | + | 0.427423i | ||||
\(216\) | 5.41980i | 0.368771i | ||||||||
\(217\) | −1.26538 | − | 7.17631i | −0.0858993 | − | 0.487159i | ||||
\(218\) | 12.6729 | + | 15.1030i | 0.858316 | + | 1.02290i | ||||
\(219\) | 5.15093 | + | 1.87478i | 0.348068 | + | 0.126686i | ||||
\(220\) | −6.98929 | + | 1.03598i | −0.471218 | + | 0.0698454i | ||||
\(221\) | −10.6754 | −0.718102 | ||||||||
\(222\) | −2.11768 | + | 6.79924i | −0.142129 | + | 0.456335i | ||||
\(223\) | 10.3038i | 0.689995i | 0.938604 | + | 0.344998i | \(0.112120\pi\) | ||||
−0.938604 | + | 0.344998i | \(0.887880\pi\) | |||||||
\(224\) | 1.32485 | + | 3.63999i | 0.0885201 | + | 0.243207i | ||||
\(225\) | −5.94478 | − | 5.57035i | −0.396319 | − | 0.371357i | ||||
\(226\) | 8.89600 | − | 7.46463i | 0.591753 | − | 0.496540i | ||||
\(227\) | −2.36191 | − | 13.3951i | −0.156766 | − | 0.889063i | −0.957154 | − | 0.289580i | \(-0.906484\pi\) |
0.800388 | − | 0.599482i | \(-0.204627\pi\) | |||||||
\(228\) | 9.17361 | 0.607537 | ||||||||
\(229\) | −2.76999 | − | 15.7094i | −0.183046 | − | 1.03811i | −0.928440 | − | 0.371482i | \(-0.878850\pi\) |
0.745394 | − | 0.666624i | \(-0.232261\pi\) | |||||||
\(230\) | −0.0777724 | + | 0.0876932i | −0.00512816 | + | 0.00578232i | ||||
\(231\) | 10.9774 | + | 9.21112i | 0.722259 | + | 0.606048i | ||||
\(232\) | 3.42104 | − | 1.97514i | 0.224602 | − | 0.129674i | ||||
\(233\) | −6.41359 | − | 3.70289i | −0.420168 | − | 0.242584i | 0.274981 | − | 0.961450i | \(-0.411328\pi\) |
−0.695149 | + | 0.718865i | \(0.744662\pi\) | |||||||
\(234\) | −2.80402 | + | 1.02058i | −0.183304 | + | 0.0667174i | ||||
\(235\) | 11.5894 | + | 21.4062i | 0.756007 | + | 1.39639i | ||||
\(236\) | 10.6466 | − | 6.14680i | 0.693033 | − | 0.400123i | ||||
\(237\) | 1.18273 | − | 6.70759i | 0.0768265 | − | 0.435705i | ||||
\(238\) | −22.2365 | − | 3.92089i | −1.44138 | − | 0.254154i | ||||
\(239\) | −7.85591 | + | 9.36231i | −0.508157 | + | 0.605598i | −0.957738 | − | 0.287642i | \(-0.907129\pi\) |
0.449581 | + | 0.893239i | \(0.351573\pi\) | |||||||
\(240\) | −1.37052 | + | 2.23046i | −0.0884664 | + | 0.143976i | ||||
\(241\) | 3.03748 | − | 8.34541i | 0.195661 | − | 0.537575i | −0.802600 | − | 0.596518i | \(-0.796551\pi\) |
0.998261 | + | 0.0589423i | \(0.0187728\pi\) | |||||||
\(242\) | 0.777780 | + | 0.652635i | 0.0499976 | + | 0.0419530i | ||||
\(243\) | −14.3323 | − | 2.52717i | −0.919418 | − | 0.162118i | ||||
\(244\) | 0.111551 | + | 0.0196694i | 0.00714132 | + | 0.00125921i | ||||
\(245\) | 5.65909 | + | 16.9810i | 0.361546 | + | 1.08488i | ||||
\(246\) | 2.70279 | + | 3.22106i | 0.172324 | + | 0.205367i | ||||
\(247\) | 4.90806 | + | 13.4848i | 0.312292 | + | 0.858016i | ||||
\(248\) | 1.62917 | + | 0.940601i | 0.103452 | + | 0.0597282i | ||||
\(249\) | 0.0912686 | + | 0.158082i | 0.00578391 | + | 0.0100180i | ||||
\(250\) | −2.94898 | − | 10.7844i | −0.186510 | − | 0.682066i | ||||
\(251\) | −20.9005 | − | 12.0669i | −1.31923 | − | 0.761657i | −0.335623 | − | 0.941996i | \(-0.608947\pi\) |
−0.983604 | + | 0.180340i | \(0.942280\pi\) | |||||||
\(252\) | −6.21554 | + | 1.09597i | −0.391542 | + | 0.0690395i | ||||
\(253\) | −0.165636 | −0.0104134 | ||||||||
\(254\) | −11.3628 | + | 2.00358i | −0.712968 | + | 0.125716i | ||||
\(255\) | −7.26525 | − | 13.4193i | −0.454967 | − | 0.840351i | ||||
\(256\) | −0.939693 | − | 0.342020i | −0.0587308 | − | 0.0213763i | ||||
\(257\) | 19.5648 | − | 7.12102i | 1.22042 | − | 0.444197i | 0.350114 | − | 0.936707i | \(-0.386143\pi\) |
0.870307 | + | 0.492510i | \(0.163921\pi\) | |||||||
\(258\) | 3.28261i | 0.204366i | ||||||||
\(259\) | −23.3712 | − | 2.99376i | −1.45222 | − | 0.186023i | ||||
\(260\) | −4.01193 | − | 0.821255i | −0.248809 | − | 0.0509321i | ||||
\(261\) | 2.20137 | + | 6.04820i | 0.136261 | + | 0.374374i | ||||
\(262\) | 0.678780 | − | 1.86493i | 0.0419351 | − | 0.115216i | ||||
\(263\) | −10.7738 | − | 12.8397i | −0.664341 | − | 0.791731i | 0.323660 | − | 0.946173i | \(-0.395086\pi\) |
−0.988002 | + | 0.154442i | \(0.950642\pi\) | |||||||
\(264\) | −3.64319 | + | 0.642394i | −0.224223 | + | 0.0395366i | ||||
\(265\) | 5.82870 | − | 28.4739i | 0.358054 | − | 1.74914i | ||||
\(266\) | 5.27061 | + | 29.8911i | 0.323162 | + | 1.83274i | ||||
\(267\) | −1.66469 | + | 2.88332i | −0.101877 | + | 0.176456i | ||||
\(268\) | 2.97306 | − | 3.54315i | 0.181608 | − | 0.216432i | ||||
\(269\) | −14.9199 | − | 25.8420i | −0.909681 | − | 1.57561i | −0.814508 | − | 0.580152i | \(-0.802993\pi\) |
−0.0951726 | − | 0.995461i | \(-0.530340\pi\) | |||||||
\(270\) | −9.06698 | − | 8.04122i | −0.551799 | − | 0.489373i | ||||
\(271\) | −8.68882 | + | 3.16247i | −0.527809 | + | 0.192107i | −0.592160 | − | 0.805821i | \(-0.701724\pi\) |
0.0643510 | + | 0.997927i | \(0.479502\pi\) | |||||||
\(272\) | 4.46534 | − | 3.74687i | 0.270751 | − | 0.227187i | ||||
\(273\) | 4.15269 | + | 7.19267i | 0.251332 | + | 0.435320i | ||||
\(274\) | −12.5600 | − | 2.21467i | −0.758777 | − | 0.133793i | ||||
\(275\) | 8.63671 | − | 13.2297i | 0.520813 | − | 0.797779i | ||||
\(276\) | −0.0394474 | + | 0.0470116i | −0.00237445 | + | 0.00282976i | ||||
\(277\) | 1.09983 | + | 0.400305i | 0.0660823 | + | 0.0240520i | 0.374850 | − | 0.927086i | \(-0.377694\pi\) |
−0.308768 | + | 0.951138i | \(0.599917\pi\) | |||||||
\(278\) | 14.4299 | + | 5.25204i | 0.865446 | + | 0.314997i | ||||
\(279\) | −1.97023 | + | 2.34802i | −0.117954 | + | 0.140573i | ||||
\(280\) | −8.05511 | − | 3.18417i | −0.481385 | − | 0.190291i | ||||
\(281\) | 28.0576 | + | 4.94731i | 1.67378 | + | 0.295132i | 0.928419 | − | 0.371535i | \(-0.121168\pi\) |
0.745356 | + | 0.666666i | \(0.232279\pi\) | |||||||
\(282\) | 6.37247 | + | 11.0374i | 0.379475 | + | 0.657270i | ||||
\(283\) | −0.162463 | + | 0.136323i | −0.00965744 | + | 0.00810356i | −0.647604 | − | 0.761977i | \(-0.724229\pi\) |
0.637946 | + | 0.770081i | \(0.279784\pi\) | |||||||
\(284\) | −12.4415 | + | 4.52834i | −0.738269 | + | 0.268708i | ||||
\(285\) | −13.6106 | + | 15.3469i | −0.806225 | + | 0.909069i | ||||
\(286\) | −2.89347 | − | 5.01163i | −0.171094 | − | 0.296344i | ||||
\(287\) | −8.94258 | + | 10.6573i | −0.527864 | + | 0.629083i | ||||
\(288\) | 0.814673 | − | 1.41106i | 0.0480051 | − | 0.0831472i | ||||
\(289\) | 2.94825 | + | 16.7203i | 0.173426 | + | 0.983549i | ||||
\(290\) | −1.77143 | + | 8.65363i | −0.104022 | + | 0.508159i | ||||
\(291\) | 19.8009 | − | 3.49144i | 1.16075 | − | 0.204672i | ||||
\(292\) | −3.00956 | − | 3.58666i | −0.176121 | − | 0.209893i | ||||
\(293\) | −0.946580 | + | 2.60071i | −0.0552998 | + | 0.151935i | −0.964267 | − | 0.264933i | \(-0.914650\pi\) |
0.908967 | + | 0.416868i | \(0.136872\pi\) | |||||||
\(294\) | 3.20526 | + | 8.80637i | 0.186934 | + | 0.513598i | ||||
\(295\) | −5.51284 | + | 26.9309i | −0.320970 | + | 1.56798i | ||||
\(296\) | 4.47028 | − | 4.12511i | 0.259830 | − | 0.239767i | ||||
\(297\) | − | 17.1258i | − | 0.993739i | ||||||
\(298\) | 7.81554 | − | 2.84462i | 0.452742 | − | 0.164785i | ||||
\(299\) | −0.0902100 | − | 0.0328337i | −0.00521698 | − | 0.00189882i | ||||
\(300\) | −1.69802 | − | 5.60206i | −0.0980351 | − | 0.323435i | ||||
\(301\) | −10.6960 | + | 1.88599i | −0.616506 | + | 0.108707i | ||||
\(302\) | −4.68049 | −0.269332 | ||||||||
\(303\) | −9.73599 | + | 1.71672i | −0.559318 | + | 0.0986228i | ||||
\(304\) | −6.78589 | − | 3.91784i | −0.389198 | − | 0.224703i | ||||
\(305\) | −0.198411 | + | 0.157434i | −0.0113610 | + | 0.00901467i | ||||
\(306\) | 4.74880 | + | 8.22517i | 0.271471 | + | 0.470201i | ||||
\(307\) | 26.0567 | + | 15.0438i | 1.48713 | + | 0.858596i | 0.999892 | − | 0.0146715i | \(-0.00467026\pi\) |
0.487240 | + | 0.873268i | \(0.338004\pi\) | |||||||
\(308\) | −4.18633 | − | 11.5018i | −0.238538 | − | 0.655378i | ||||
\(309\) | −1.82552 | − | 2.17557i | −0.103850 | − | 0.123764i | ||||
\(310\) | −3.99072 | + | 1.32995i | −0.226658 | + | 0.0755360i | ||||
\(311\) | 1.54935 | + | 0.273192i | 0.0878555 | + | 0.0154913i | 0.217403 | − | 0.976082i | \(-0.430241\pi\) |
−0.129548 | + | 0.991573i | \(0.541352\pi\) | |||||||
\(312\) | −2.11153 | − | 0.372319i | −0.119542 | − | 0.0210784i | ||||
\(313\) | −16.3282 | − | 13.7010i | −0.922925 | − | 0.774426i | 0.0516088 | − | 0.998667i | \(-0.483565\pi\) |
−0.974534 | + | 0.224242i | \(0.928010\pi\) | |||||||
\(314\) | 4.24671 | − | 11.6678i | 0.239656 | − | 0.658449i | ||||
\(315\) | 7.38836 | − | 12.0243i | 0.416287 | − | 0.677490i | ||||
\(316\) | −3.73954 | + | 4.45661i | −0.210366 | + | 0.250704i | ||||
\(317\) | 12.0836 | + | 2.13067i | 0.678683 | + | 0.119670i | 0.502355 | − | 0.864661i | \(-0.332467\pi\) |
0.176328 | + | 0.984332i | \(0.443578\pi\) | |||||||
\(318\) | 2.64246 | − | 14.9862i | 0.148182 | − | 0.840382i | ||||
\(319\) | −10.8100 | + | 6.24114i | −0.605242 | + | 0.349437i | ||||
\(320\) | 1.96637 | − | 1.06460i | 0.109924 | − | 0.0595129i | ||||
\(321\) | −2.96307 | + | 1.07847i | −0.165383 | + | 0.0601944i | ||||
\(322\) | −0.175846 | − | 0.101525i | −0.00979950 | − | 0.00565774i | ||||
\(323\) | 39.5556 | − | 22.8374i | 2.20093 | − | 1.27071i | ||||
\(324\) | −1.11627 | − | 0.936665i | −0.0620152 | − | 0.0520369i | ||||
\(325\) | 7.32630 | − | 5.49322i | 0.406390 | − | 0.304709i | ||||
\(326\) | 3.14656 | + | 17.8450i | 0.174272 | + | 0.988344i | ||||
\(327\) | −23.0819 | −1.27643 | ||||||||
\(328\) | −0.623665 | − | 3.53698i | −0.0344361 | − | 0.195297i | ||||
\(329\) | −32.3030 | + | 27.1054i | −1.78092 | + | 1.49437i | ||||
\(330\) | 4.33063 | − | 7.04793i | 0.238393 | − | 0.387976i | ||||
\(331\) | −5.77290 | − | 15.8609i | −0.317307 | − | 0.871794i | −0.991129 | − | 0.132901i | \(-0.957571\pi\) |
0.673822 | − | 0.738893i | \(-0.264651\pi\) | |||||||
\(332\) | − | 0.155915i | − | 0.00855694i | ||||||
\(333\) | 5.35434 | + | 8.34012i | 0.293416 | + | 0.457036i | ||||
\(334\) | 14.1060 | 0.771848 | ||||||||
\(335\) | 1.51641 | + | 10.2306i | 0.0828506 | + | 0.558958i | ||||
\(336\) | −4.26151 | − | 1.55106i | −0.232485 | − | 0.0846175i | ||||
\(337\) | −16.6418 | − | 19.8330i | −0.906538 | − | 1.08037i | −0.996430 | − | 0.0844184i | \(-0.973097\pi\) |
0.0898925 | − | 0.995951i | \(-0.471348\pi\) | |||||||
\(338\) | 1.67501 | + | 9.49945i | 0.0911085 | + | 0.516702i | ||||
\(339\) | 13.5958i | 0.738423i | ||||||||
\(340\) | −0.356846 | + | 13.0294i | −0.0193527 | + | 0.706616i | ||||
\(341\) | −5.14793 | − | 2.97216i | −0.278776 | − | 0.160952i | ||||
\(342\) | 8.20649 | − | 9.78011i | 0.443756 | − | 0.528848i | ||||
\(343\) | −3.37053 | + | 1.94598i | −0.181992 | + | 0.105073i | ||||
\(344\) | 1.40193 | − | 2.42821i | 0.0755867 | − | 0.130920i | ||||
\(345\) | −0.0201202 | − | 0.135743i | −0.00108324 | − | 0.00730815i | ||||
\(346\) | 1.77074 | + | 2.11028i | 0.0951953 | + | 0.113449i | ||||
\(347\) | −8.20851 | − | 14.2176i | −0.440656 | − | 0.763238i | 0.557083 | − | 0.830457i | \(-0.311921\pi\) |
−0.997738 | + | 0.0672191i | \(0.978587\pi\) | |||||||
\(348\) | −0.803084 | + | 4.55452i | −0.0430498 | + | 0.244148i | ||||
\(349\) | 3.63461 | − | 20.6129i | 0.194556 | − | 1.10338i | −0.718493 | − | 0.695534i | \(-0.755168\pi\) |
0.913049 | − | 0.407849i | \(-0.133721\pi\) | |||||||
\(350\) | 17.2781 | − | 8.75140i | 0.923551 | − | 0.467782i | ||||
\(351\) | 3.39482 | − | 9.32719i | 0.181202 | − | 0.497849i | ||||
\(352\) | 2.96929 | + | 1.08073i | 0.158264 | + | 0.0576033i | ||||
\(353\) | −9.83024 | − | 8.24855i | −0.523211 | − | 0.439026i | 0.342538 | − | 0.939504i | \(-0.388713\pi\) |
−0.865749 | + | 0.500478i | \(0.833158\pi\) | |||||||
\(354\) | −2.49927 | + | 14.1741i | −0.132835 | + | 0.753343i | ||||
\(355\) | 10.8835 | − | 27.5324i | 0.577638 | − | 1.46127i | ||||
\(356\) | 2.46280 | − | 1.42190i | 0.130528 | − | 0.0753605i | ||||
\(357\) | 20.2504 | − | 16.9921i | 1.07176 | − | 0.899316i | ||||
\(358\) | −2.35551 | − | 6.47172i | −0.124493 | − | 0.342041i | ||||
\(359\) | 9.12465 | − | 15.8044i | 0.481581 | − | 0.834122i | −0.518196 | − | 0.855262i | \(-0.673396\pi\) |
0.999777 | + | 0.0211396i | \(0.00672945\pi\) | |||||||
\(360\) | 1.15189 | + | 3.45644i | 0.0607102 | + | 0.182170i | ||||
\(361\) | −32.4786 | − | 27.2528i | −1.70940 | − | 1.43436i | ||||
\(362\) | 2.80422 | − | 4.85704i | 0.147386 | − | 0.255281i | ||||
\(363\) | −1.17063 | + | 0.206413i | −0.0614420 | + | 0.0108339i | ||||
\(364\) | − | 7.09408i | − | 0.371831i | ||||||
\(365\) | 10.4655 | + | 0.286627i | 0.547787 | + | 0.0150027i | ||||
\(366\) | −0.101587 | + | 0.0852419i | −0.00531005 | + | 0.00445566i | ||||
\(367\) | 0.440339 | − | 1.20982i | 0.0229855 | − | 0.0631521i | −0.927669 | − | 0.373403i | \(-0.878191\pi\) |
0.950655 | + | 0.310251i | \(0.100413\pi\) | |||||||
\(368\) | 0.0492576 | − | 0.0179283i | 0.00256773 | − | 0.000934576i | ||||
\(369\) | 5.85187 | 0.304636 | ||||||||
\(370\) | 0.268604 | + | 13.5988i | 0.0139641 | + | 0.706969i | ||||
\(371\) | 50.3488 | 2.61398 | ||||||||
\(372\) | −2.06959 | + | 0.753270i | −0.107303 | + | 0.0390552i | ||||
\(373\) | 2.26014 | − | 6.20968i | 0.117025 | − | 0.321525i | −0.867326 | − | 0.497740i | \(-0.834163\pi\) |
0.984352 | + | 0.176215i | \(0.0563855\pi\) | |||||||
\(374\) | −14.1098 | + | 11.8395i | −0.729602 | + | 0.612209i | ||||
\(375\) | 11.8912 | + | 5.47096i | 0.614058 | + | 0.282519i | ||||
\(376\) | − | 10.8861i | − | 0.561410i | ||||||
\(377\) | −7.12459 | + | 1.25626i | −0.366935 | + | 0.0647006i | ||||
\(378\) | 10.4971 | − | 18.1814i | 0.539911 | − | 0.935153i | ||||
\(379\) | 6.96442 | + | 5.84385i | 0.357738 | + | 0.300178i | 0.803889 | − | 0.594780i | \(-0.202761\pi\) |
−0.446150 | + | 0.894958i | \(0.647205\pi\) | |||||||
\(380\) | 16.6223 | − | 5.53957i | 0.852708 | − | 0.284174i | ||||
\(381\) | 6.75413 | − | 11.6985i | 0.346025 | − | 0.599332i | ||||
\(382\) | −4.56438 | − | 12.5405i | −0.233534 | − | 0.641630i | ||||
\(383\) | 12.0599 | − | 10.1195i | 0.616233 | − | 0.517081i | −0.280384 | − | 0.959888i | \(-0.590462\pi\) |
0.896617 | + | 0.442807i | \(0.146017\pi\) | |||||||
\(384\) | 1.01390 | − | 0.585375i | 0.0517403 | − | 0.0298723i | ||||
\(385\) | 25.4530 | + | 10.0615i | 1.29720 | + | 0.512783i | ||||
\(386\) | 1.09215 | − | 6.19387i | 0.0555888 | − | 0.315260i | ||||
\(387\) | 3.49963 | + | 2.93654i | 0.177896 | + | 0.149273i | ||||
\(388\) | −16.1383 | − | 5.87384i | −0.819296 | − | 0.298199i | ||||
\(389\) | 5.47718 | − | 15.0484i | 0.277704 | − | 0.762985i | −0.719918 | − | 0.694059i | \(-0.755821\pi\) |
0.997622 | − | 0.0689259i | \(-0.0219572\pi\) | |||||||
\(390\) | 3.75569 | − | 2.98005i | 0.190177 | − | 0.150901i | ||||
\(391\) | −0.0530588 | + | 0.300912i | −0.00268330 | + | 0.0152178i | ||||
\(392\) | 1.39001 | − | 7.88313i | 0.0702060 | − | 0.398158i | ||||
\(393\) | 1.16175 | + | 2.01220i | 0.0586023 | + | 0.101502i | ||||
\(394\) | 9.55701 | + | 11.3896i | 0.481475 | + | 0.573800i | ||||
\(395\) | −1.90736 | − | 12.8682i | −0.0959699 | − | 0.647468i | ||||
\(396\) | −2.57425 | + | 4.45873i | −0.129361 | + | 0.224060i | ||||
\(397\) | 7.99684 | − | 4.61698i | 0.401350 | − | 0.231719i | −0.285716 | − | 0.958314i | \(-0.592232\pi\) |
0.687066 | + | 0.726595i | \(0.258898\pi\) | |||||||
\(398\) | −7.72739 | + | 9.20914i | −0.387339 | + | 0.461613i | ||||
\(399\) | −30.7741 | − | 17.7674i | −1.54063 | − | 0.889484i | ||||
\(400\) | −1.13646 | + | 4.86913i | −0.0568228 | + | 0.243457i | ||||
\(401\) | − | 11.8921i | − | 0.593863i | −0.954899 | − | 0.296931i | \(-0.904037\pi\) | ||
0.954899 | − | 0.296931i | \(-0.0959632\pi\) | |||||||
\(402\) | 0.940307 | + | 5.33275i | 0.0468983 | + | 0.265973i | ||||
\(403\) | −2.21454 | − | 2.63919i | −0.110314 | − | 0.131467i | ||||
\(404\) | 7.93506 | + | 2.88813i | 0.394784 | + | 0.143690i | ||||
\(405\) | 3.22316 | − | 0.477748i | 0.160160 | − | 0.0237395i | ||||
\(406\) | −15.3018 | −0.759413 | ||||||||
\(407\) | −14.1254 | + | 13.0348i | −0.700172 | + | 0.646109i | ||||
\(408\) | 6.82440i | 0.337858i | ||||||||
\(409\) | −1.37922 | − | 3.78938i | −0.0681982 | − | 0.187373i | 0.900912 | − | 0.434003i | \(-0.142899\pi\) |
−0.969110 | + | 0.246630i | \(0.920677\pi\) | |||||||
\(410\) | 6.84245 | + | 4.20437i | 0.337925 | + | 0.207639i | ||||
\(411\) | 11.4382 | − | 9.59775i | 0.564202 | − | 0.473422i | ||||
\(412\) | 0.421236 | + | 2.38895i | 0.0207528 | + | 0.117695i | ||||
\(413\) | −47.6204 | −2.34325 | ||||||||
\(414\) | 0.0148310 | + | 0.0841108i | 0.000728904 | + | 0.00413382i | ||||
\(415\) | 0.260835 | + | 0.231327i | 0.0128039 | + | 0.0113554i | ||||
\(416\) | 1.40293 | + | 1.17720i | 0.0687842 | + | 0.0577168i | ||||
\(417\) | −15.5694 | + | 8.98898i | −0.762435 | + | 0.440192i | ||||
\(418\) | 21.4424 | + | 12.3798i | 1.04878 | + | 0.605516i | ||||
\(419\) | 32.4698 | − | 11.8180i | 1.58625 | − | 0.577349i | 0.609702 | − | 0.792631i | \(-0.291289\pi\) |
0.976552 | + | 0.215281i | \(0.0690668\pi\) | |||||||
\(420\) | 8.91753 | − | 4.82796i | 0.435131 | − | 0.235580i | ||||
\(421\) | −30.7230 | + | 17.7379i | −1.49735 | + | 0.864493i | −0.999995 | − | 0.00305655i | \(-0.999027\pi\) |
−0.497351 | + | 0.867550i | \(0.665694\pi\) | |||||||
\(422\) | −4.15805 | + | 23.5815i | −0.202411 | + | 1.14793i | ||||
\(423\) | 17.4678 | + | 3.08005i | 0.849315 | + | 0.149757i | ||||
\(424\) | −8.35492 | + | 9.95701i | −0.405751 | + | 0.483555i | ||||
\(425\) | −21.2678 | − | 19.9283i | −1.03164 | − | 0.966664i | ||||
\(426\) | 5.30155 | − | 14.5659i | 0.256861 | − | 0.705720i | ||||
\(427\) | −0.336117 | − | 0.282035i | −0.0162658 | − | 0.0136486i | ||||
\(428\) | 2.65243 | + | 0.467695i | 0.128210 | + | 0.0226069i | ||||
\(429\) | 6.67212 | + | 1.17648i | 0.322133 | + | 0.0568008i | ||||
\(430\) | 1.98223 | + | 5.94799i | 0.0955916 | + | 0.286838i | ||||
\(431\) | −19.7147 | − | 23.4951i | −0.949626 | − | 1.13172i | −0.991172 | − | 0.132583i | \(-0.957673\pi\) |
0.0415462 | − | 0.999137i | \(-0.486772\pi\) | |||||||
\(432\) | 1.85368 | + | 5.09295i | 0.0891853 | + | 0.245035i | ||||
\(433\) | −3.91141 | − | 2.25826i | −0.187971 | − | 0.108525i | 0.403062 | − | 0.915173i | \(-0.367946\pi\) |
−0.591032 | + | 0.806648i | \(0.701279\pi\) | |||||||
\(434\) | −3.64351 | − | 6.31074i | −0.174894 | − | 0.302925i | ||||
\(435\) | −6.42790 | − | 8.10093i | −0.308194 | − | 0.388410i | ||||
\(436\) | 17.0741 | + | 9.85775i | 0.817702 | + | 0.472101i | ||||
\(437\) | 0.404497 | − | 0.0713237i | 0.0193497 | − | 0.00341187i | ||||
\(438\) | 5.48150 | 0.261916 | ||||||||
\(439\) | −32.1437 | + | 5.66780i | −1.53413 | + | 0.270509i | −0.875970 | − | 0.482365i | \(-0.839778\pi\) |
−0.658164 | + | 0.752875i | \(0.728667\pi\) | |||||||
\(440\) | −6.21346 | + | 3.36398i | −0.296215 | + | 0.160371i | ||||
\(441\) | 12.2559 | + | 4.46080i | 0.583616 | + | 0.212419i | ||||
\(442\) | −10.0316 | + | 3.65119i | −0.477152 | + | 0.173669i | ||||
\(443\) | − | 8.51396i | − | 0.404510i | −0.979333 | − | 0.202255i | \(-0.935173\pi\) | ||
0.979333 | − | 0.202255i | \(-0.0648270\pi\) | |||||||
\(444\) | 0.335510 | + | 7.11348i | 0.0159226 | + | 0.337591i | ||||
\(445\) | −1.27525 | + | 6.22974i | −0.0604526 | + | 0.295318i | ||||
\(446\) | 3.52412 | + | 9.68243i | 0.166872 | + | 0.458476i | ||||
\(447\) | −3.33034 | + | 9.15004i | −0.157520 | + | 0.432782i | ||||
\(448\) | 2.48990 | + | 2.96735i | 0.117637 | + | 0.140194i | ||||
\(449\) | −16.7028 | + | 2.94515i | −0.788253 | + | 0.138990i | −0.553262 | − | 0.833007i | \(-0.686617\pi\) |
−0.234991 | + | 0.971998i | \(0.575506\pi\) | |||||||
\(450\) | −7.49144 | − | 3.20119i | −0.353150 | − | 0.150905i | ||||
\(451\) | 1.97069 | + | 11.1763i | 0.0927962 | + | 0.526273i | ||||
\(452\) | 5.80645 | − | 10.0571i | 0.273113 | − | 0.473045i | ||||
\(453\) | 3.52227 | − | 4.19768i | 0.165491 | − | 0.197224i | ||||
\(454\) | −6.80086 | − | 11.7794i | −0.319180 | − | 0.552836i | ||||
\(455\) | 11.8679 | + | 10.5253i | 0.556377 | + | 0.493434i | ||||
\(456\) | 8.62037 | − | 3.13756i | 0.403686 | − | 0.146930i | ||||
\(457\) | −1.93215 | + | 1.62126i | −0.0903821 | + | 0.0758395i | −0.686859 | − | 0.726791i | \(-0.741011\pi\) |
0.596477 | + | 0.802630i | \(0.296567\pi\) | |||||||
\(458\) | −7.97586 | − | 13.8146i | −0.372688 | − | 0.645514i | ||||
\(459\) | −31.1125 | − | 5.48598i | −1.45221 | − | 0.256064i | ||||
\(460\) | −0.0430893 | + | 0.109004i | −0.00200905 | + | 0.00508236i | ||||
\(461\) | −10.1000 | + | 12.0367i | −0.470402 | + | 0.560604i | −0.948121 | − | 0.317909i | \(-0.897019\pi\) |
0.477719 | + | 0.878513i | \(0.341464\pi\) | |||||||
\(462\) | 13.4658 | + | 4.90114i | 0.626484 | + | 0.228022i | ||||
\(463\) | 6.15029 | + | 2.23852i | 0.285828 | + | 0.104033i | 0.480956 | − | 0.876745i | \(-0.340290\pi\) |
−0.195127 | + | 0.980778i | \(0.562512\pi\) | |||||||
\(464\) | 2.53919 | − | 3.02608i | 0.117879 | − | 0.140482i | ||||
\(465\) | 1.81043 | − | 4.57990i | 0.0839566 | − | 0.212388i | ||||
\(466\) | −7.29327 | − | 1.28600i | −0.337854 | − | 0.0595728i | ||||
\(467\) | 13.1213 | + | 22.7268i | 0.607183 | + | 1.05167i | 0.991702 | + | 0.128555i | \(0.0410337\pi\) |
−0.384520 | + | 0.923117i | \(0.625633\pi\) | |||||||
\(468\) | −2.28586 | + | 1.91806i | −0.105664 | + | 0.0886624i | ||||
\(469\) | −16.8359 | + | 6.12776i | −0.777408 | + | 0.282954i | ||||
\(470\) | 18.2118 | + | 16.1515i | 0.840048 | + | 0.745012i | ||||
\(471\) | 7.26834 | + | 12.5891i | 0.334907 | + | 0.580077i | ||||
\(472\) | 7.90217 | − | 9.41744i | 0.363727 | − | 0.433473i | ||||
\(473\) | −4.42988 | + | 7.67278i | −0.203686 | + | 0.352795i | ||||
\(474\) | −1.18273 | − | 6.70759i | −0.0543245 | − | 0.308090i | ||||
\(475\) | −15.3948 | + | 36.0270i | −0.706362 | + | 1.65303i | ||||
\(476\) | −22.2365 | + | 3.92089i | −1.01921 | + | 0.179714i | ||||
\(477\) | −13.6131 | − | 16.2234i | −0.623299 | − | 0.742819i | ||||
\(478\) | −4.18004 | + | 11.4846i | −0.191191 | + | 0.525292i | ||||
\(479\) | 5.16143 | + | 14.1809i | 0.235832 | + | 0.647943i | 0.999996 | + | 0.00292050i | \(0.000929625\pi\) |
−0.764164 | + | 0.645022i | \(0.776848\pi\) | |||||||
\(480\) | −0.525001 | + | 2.56469i | −0.0239629 | + | 0.117062i | ||||
\(481\) | −10.2770 | + | 4.29903i | −0.468590 | + | 0.196019i | ||||
\(482\) | − | 8.88100i | − | 0.404519i | ||||||
\(483\) | 0.223383 | − | 0.0813049i | 0.0101643 | − | 0.00369950i | ||||
\(484\) | 0.954089 | + | 0.347260i | 0.0433677 | + | 0.0157845i | ||||
\(485\) | 33.7705 | − | 18.2834i | 1.53344 | − | 0.830205i | ||||
\(486\) | −14.3323 | + | 2.52717i | −0.650127 | + | 0.114635i | ||||
\(487\) | 10.2551 | 0.464703 | 0.232351 | − | 0.972632i | \(-0.425358\pi\) | ||||
0.232351 | + | 0.972632i | \(0.425358\pi\) | |||||||
\(488\) | 0.111551 | − | 0.0196694i | 0.00504967 | − | 0.000890394i | ||||
\(489\) | −18.3721 | − | 10.6072i | −0.830817 | − | 0.479673i | ||||
\(490\) | 11.1256 | + | 14.0214i | 0.502605 | + | 0.633422i | ||||
\(491\) | 12.4486 | + | 21.5615i | 0.561796 | + | 0.973059i | 0.997340 | + | 0.0728915i | \(0.0232227\pi\) |
−0.435544 | + | 0.900167i | \(0.643444\pi\) | |||||||
\(492\) | 3.64146 | + | 2.10240i | 0.164170 | + | 0.0947834i | ||||
\(493\) | 7.87552 | + | 21.6378i | 0.354696 | + | 0.974518i | ||||
\(494\) | 9.22413 | + | 10.9929i | 0.415013 | + | 0.494594i | ||||
\(495\) | −3.63982 | − | 10.9219i | −0.163598 | − | 0.490901i | ||||
\(496\) | 1.85262 | + | 0.326667i | 0.0831852 | + | 0.0146678i | ||||
\(497\) | 50.5072 | + | 8.90578i | 2.26556 | + | 0.399479i | ||||
\(498\) | 0.139832 | + | 0.117333i | 0.00626600 | + | 0.00525780i | ||||
\(499\) | 8.15738 | − | 22.4122i | 0.365174 | − | 1.00331i | −0.611998 | − | 0.790860i | \(-0.709634\pi\) |
0.977172 | − | 0.212449i | \(-0.0681439\pi\) | |||||||
\(500\) | −6.45962 | − | 9.12542i | −0.288883 | − | 0.408101i | ||||
\(501\) | −10.6154 | + | 12.6509i | −0.474261 | + | 0.565202i | ||||
\(502\) | −23.7672 | − | 4.19079i | −1.06078 | − | 0.187044i | ||||
\(503\) | 0.295948 | − | 1.67841i | 0.0131957 | − | 0.0748364i | −0.977499 | − | 0.210941i | \(-0.932347\pi\) |
0.990694 | + | 0.136105i | \(0.0434583\pi\) | |||||||
\(504\) | −5.46586 | + | 3.15571i | −0.243469 | + | 0.140567i | ||||
\(505\) | −16.6047 | + | 8.98981i | −0.738899 | + | 0.400041i | ||||
\(506\) | −0.155647 | + | 0.0566508i | −0.00691934 | + | 0.00251843i | ||||
\(507\) | −9.78006 | − | 5.64652i | −0.434348 | − | 0.250771i | ||||
\(508\) | −9.99232 | + | 5.76907i | −0.443337 | + | 0.255961i | ||||
\(509\) | −23.9226 | − | 20.0734i | −1.06035 | − | 0.889739i | −0.0662058 | − | 0.997806i | \(-0.521089\pi\) |
−0.994144 | + | 0.108067i | \(0.965534\pi\) | |||||||
\(510\) | −11.4168 | − | 10.1252i | −0.505543 | − | 0.448351i | ||||
\(511\) | 3.14935 | + | 17.8608i | 0.139319 | + | 0.790116i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 7.37446 | + | 41.8226i | 0.325590 | + | 1.84651i | ||||
\(514\) | 15.9494 | − | 13.3831i | 0.703498 | − | 0.590305i | ||||
\(515\) | −4.62153 | − | 2.83972i | −0.203649 | − | 0.125133i | ||||
\(516\) | 1.12272 | + | 3.08464i | 0.0494249 | + | 0.135794i | ||||
\(517\) | 34.3986i | 1.51285i | ||||||||
\(518\) | −22.9857 | + | 5.18020i | −1.00993 | + | 0.227605i | ||||
\(519\) | −3.22515 | −0.141568 | ||||||||
\(520\) | −4.05086 | + | 0.600432i | −0.177642 | + | 0.0263307i | ||||
\(521\) | 36.4875 | + | 13.2804i | 1.59855 | + | 0.581824i | 0.979130 | − | 0.203237i | \(-0.0651462\pi\) |
0.619419 | + | 0.785061i | \(0.287368\pi\) | |||||||
\(522\) | 4.13721 | + | 4.93054i | 0.181081 | + | 0.215804i | ||||
\(523\) | −1.53590 | − | 8.71055i | −0.0671604 | − | 0.380886i | −0.999799 | − | 0.0200724i | \(-0.993610\pi\) |
0.932638 | − | 0.360813i | \(-0.117501\pi\) | |||||||
\(524\) | − | 1.98462i | − | 0.0866985i | ||||||
\(525\) | −5.15383 | + | 22.0816i | −0.224932 | + | 0.963719i | ||||
\(526\) | −14.5155 | − | 8.38053i | −0.632906 | − | 0.365409i | ||||
\(527\) | −7.04861 | + | 8.40020i | −0.307042 | + | 0.365919i | ||||
\(528\) | −3.20377 | + | 1.84970i | −0.139426 | + | 0.0804978i | ||||
\(529\) | 11.4986 | − | 19.9162i | 0.499940 | − | 0.865922i | ||||
\(530\) | −4.26145 | − | 28.7502i | −0.185106 | − | 1.24883i | ||||
\(531\) | 12.8754 | + | 15.3443i | 0.558744 | + | 0.665885i | ||||
\(532\) | 15.1761 | + | 26.2858i | 0.657968 | + | 1.13963i | ||||
\(533\) | −1.14218 | + | 6.47760i | −0.0494731 | + | 0.280576i | ||||
\(534\) | −0.578140 | + | 3.27879i | −0.0250186 | + | 0.141887i | ||||
\(535\) | −4.71777 | + | 3.74344i | −0.203967 | + | 0.161843i | ||||
\(536\) | 1.58193 | − | 4.34632i | 0.0683290 | − | 0.187732i | ||||
\(537\) | 7.57677 | + | 2.75772i | 0.326962 | + | 0.119004i | ||||
\(538\) | −22.8586 | − | 19.1806i | −0.985503 | − | 0.826935i | ||||
\(539\) | −4.39222 | + | 24.9095i | −0.189186 | + | 1.07293i | ||||
\(540\) | −11.2704 | − | 4.45519i | −0.485002 | − | 0.191721i | ||||
\(541\) | 24.4959 | − | 14.1427i | 1.05316 | − | 0.608044i | 0.129630 | − | 0.991562i | \(-0.458621\pi\) |
0.923533 | + | 0.383519i | \(0.125288\pi\) | |||||||
\(542\) | −7.08319 | + | 5.94351i | −0.304249 | + | 0.255295i | ||||
\(543\) | 2.24573 | + | 6.17008i | 0.0963734 | + | 0.264784i | ||||
\(544\) | 2.91454 | − | 5.04814i | 0.124960 | − | 0.216437i | ||||
\(545\) | −41.8238 | + | 13.9382i | −1.79154 | + | 0.597048i | ||||
\(546\) | 6.36229 | + | 5.33860i | 0.272281 | + | 0.228471i | ||||
\(547\) | 21.8895 | − | 37.9137i | 0.935927 | − | 1.62107i | 0.162953 | − | 0.986634i | \(-0.447898\pi\) |
0.772973 | − | 0.634439i | \(-0.218769\pi\) | |||||||
\(548\) | −12.5600 | + | 2.21467i | −0.536536 | + | 0.0946058i | ||||
\(549\) | 0.184559i | 0.00787678i | ||||||||
\(550\) | 3.59103 | − | 15.3858i | 0.153122 | − | 0.656051i | ||||
\(551\) | 23.7114 | − | 19.8962i | 1.01014 | − | 0.847608i | ||||
\(552\) | −0.0209895 | + | 0.0576682i | −0.000893373 | + | 0.00245452i | ||||
\(553\) | 21.1764 | − | 7.70756i | 0.900510 | − | 0.327759i | ||||
\(554\) | 1.17041 | 0.0497261 | ||||||||
\(555\) | −12.3982 | − | 9.99280i | −0.526273 | − | 0.424171i | ||||
\(556\) | 15.3559 | 0.651237 | ||||||||
\(557\) | 7.02487 | − | 2.55684i | 0.297653 | − | 0.108337i | −0.188877 | − | 0.982001i | \(-0.560485\pi\) |
0.486530 | + | 0.873664i | \(0.338262\pi\) | |||||||
\(558\) | −1.04834 | + | 2.88028i | −0.0443796 | + | 0.121932i | ||||
\(559\) | −3.93360 | + | 3.30068i | −0.166374 | + | 0.139604i | ||||
\(560\) | −8.65838 | − | 0.237135i | −0.365883 | − | 0.0100208i | ||||
\(561\) | − | 21.5641i | − | 0.910437i | ||||||
\(562\) | 28.0576 | − | 4.94731i | 1.18354 | − | 0.208690i | ||||
\(563\) | −7.21335 | + | 12.4939i | −0.304006 | + | 0.526555i | −0.977040 | − | 0.213058i | \(-0.931658\pi\) |
0.673033 | + | 0.739612i | \(0.264991\pi\) | |||||||
\(564\) | 9.76319 | + | 8.19229i | 0.411105 | + | 0.344958i | ||||
\(565\) | 8.20995 | + | 24.6352i | 0.345395 | + | 1.03641i | ||||
\(566\) | −0.106040 | + | 0.183667i | −0.00445721 | + | 0.00772012i | ||||
\(567\) | 1.93056 | + | 5.30416i | 0.0810757 | + | 0.222754i | ||||
\(568\) | −10.1424 | + | 8.51050i | −0.425567 | + | 0.357093i | ||||
\(569\) | −21.6406 | + | 12.4942i | −0.907223 | + | 0.523785i | −0.879536 | − | 0.475831i | \(-0.842147\pi\) |
−0.0276861 | + | 0.999617i | \(0.508814\pi\) | |||||||
\(570\) | −7.54089 | + | 19.0764i | −0.315853 | + | 0.799024i | ||||
\(571\) | 2.47000 | − | 14.0081i | 0.103366 | − | 0.586220i | −0.888494 | − | 0.458889i | \(-0.848248\pi\) |
0.991860 | − | 0.127332i | \(-0.0406412\pi\) | |||||||
\(572\) | −4.43305 | − | 3.71977i | −0.185355 | − | 0.155531i | ||||
\(573\) | 14.6818 | + | 5.34375i | 0.613342 | + | 0.223238i | ||||
\(574\) | −4.75825 | + | 13.0732i | −0.198605 | + | 0.545664i | ||||
\(575\) | −0.118427 | − | 0.233813i | −0.00493874 | − | 0.00975066i | ||||
\(576\) | 0.282933 | − | 1.60459i | 0.0117889 | − | 0.0668580i | ||||
\(577\) | 1.38672 | − | 7.86446i | 0.0577297 | − | 0.327402i | −0.942242 | − | 0.334933i | \(-0.891286\pi\) |
0.999972 | + | 0.00753148i | \(0.00239737\pi\) | |||||||
\(578\) | 8.48913 | + | 14.7036i | 0.353101 | + | 0.611590i | ||||
\(579\) | 4.73306 | + | 5.64064i | 0.196699 | + | 0.234417i | ||||
\(580\) | 1.29512 | + | 8.73761i | 0.0537769 | + | 0.362810i | ||||
\(581\) | −0.301976 | + | 0.523037i | −0.0125281 | + | 0.0216992i | ||||
\(582\) | 17.4127 | − | 10.0532i | 0.721778 | − | 0.416719i | ||||
\(583\) | 26.4003 | − | 31.4627i | 1.09339 | − | 1.30305i | ||||
\(584\) | −4.05477 | − | 2.34102i | −0.167788 | − | 0.0968723i | ||||
\(585\) | 0.182674 | − | 6.66987i | 0.00755262 | − | 0.275765i | ||||
\(586\) | 2.76761i | 0.114329i | ||||||||
\(587\) | 6.01674 | + | 34.1226i | 0.248337 | + | 1.40839i | 0.812612 | + | 0.582804i | \(0.198045\pi\) |
−0.564275 | + | 0.825587i | \(0.690844\pi\) | |||||||
\(588\) | 6.02391 | + | 7.17902i | 0.248422 | + | 0.296058i | ||||
\(589\) | 13.8515 | + | 5.04154i | 0.570742 | + | 0.207733i | ||||
\(590\) | 4.03052 | + | 27.1922i | 0.165934 | + | 1.11949i | ||||
\(591\) | −17.4068 | −0.716019 | ||||||||
\(592\) | 2.78982 | − | 5.40527i | 0.114661 | − | 0.222155i | ||||
\(593\) | 31.3108i | 1.28578i | 0.765958 | + | 0.642890i | \(0.222265\pi\) | ||||
−0.765958 | + | 0.642890i | \(0.777735\pi\) | |||||||
\(594\) | −5.85737 | − | 16.0930i | −0.240331 | − | 0.660303i | ||||
\(595\) | 26.4323 | − | 43.0175i | 1.08362 | − | 1.76355i | ||||
\(596\) | 6.37129 | − | 5.34614i | 0.260978 | − | 0.218987i | ||||
\(597\) | −2.44399 | − | 13.8606i | −0.100026 | − | 0.567275i | ||||
\(598\) | −0.0959994 | −0.00392571 | ||||||||
\(599\) | 3.48256 | + | 19.7506i | 0.142294 | + | 0.806987i | 0.969500 | + | 0.245090i | \(0.0788174\pi\) |
−0.827207 | + | 0.561898i | \(0.810071\pi\) | |||||||
\(600\) | −3.51163 | − | 4.68346i | −0.143362 | − | 0.191201i | ||||
\(601\) | −16.3450 | − | 13.7151i | −0.666726 | − | 0.559449i | 0.245368 | − | 0.969430i | \(-0.421091\pi\) |
−0.912094 | + | 0.409980i | \(0.865536\pi\) | |||||||
\(602\) | −9.40588 | + | 5.43049i | −0.383355 | + | 0.221330i | ||||
\(603\) | 6.52649 | + | 3.76807i | 0.265779 | + | 0.153448i | ||||
\(604\) | −4.39822 | + | 1.60082i | −0.178961 | + | 0.0651365i | ||||
\(605\) | −1.99650 | + | 1.08091i | −0.0811693 | + | 0.0439452i | ||||
\(606\) | −8.56168 | + | 4.94309i | −0.347795 | + | 0.200799i | ||||
\(607\) | −0.528719 | + | 2.99851i | −0.0214600 | + | 0.121706i | −0.993656 | − | 0.112463i | \(-0.964126\pi\) |
0.972196 | + | 0.234169i | \(0.0752370\pi\) | |||||||
\(608\) | −7.71663 | − | 1.36065i | −0.312951 | − | 0.0551817i | ||||
\(609\) | 11.5152 | − | 13.7233i | 0.466621 | − | 0.556097i | ||||
\(610\) | −0.132600 | + | 0.215800i | −0.00536880 | + | 0.00873751i | ||||
\(611\) | −6.81879 | + | 18.7345i | −0.275859 | + | 0.757916i | ||||
\(612\) | 7.27559 | + | 6.10494i | 0.294098 | + | 0.246778i | ||||
\(613\) | 7.12661 | + | 1.25661i | 0.287841 | + | 0.0507541i | 0.315704 | − | 0.948858i | \(-0.397759\pi\) |
−0.0278634 | + | 0.999612i | \(0.508870\pi\) | |||||||
\(614\) | 29.6306 | + | 5.22467i | 1.19579 | + | 0.210850i | ||||
\(615\) | −8.91991 | + | 2.97265i | −0.359686 | + | 0.119869i | ||||
\(616\) | −7.86772 | − | 9.37638i | −0.316999 | − | 0.377785i | ||||
\(617\) | 4.63330 | + | 12.7299i | 0.186530 | + | 0.512486i | 0.997345 | − | 0.0728155i | \(-0.0231984\pi\) |
−0.810816 | + | 0.585301i | \(0.800976\pi\) | |||||||
\(618\) | −2.45952 | − | 1.42000i | −0.0989363 | − | 0.0571209i | ||||
\(619\) | 16.7671 | + | 29.0415i | 0.673926 | + | 1.16727i | 0.976781 | + | 0.214238i | \(0.0687268\pi\) |
−0.302855 | + | 0.953037i | \(0.597940\pi\) | |||||||
\(620\) | −3.29518 | + | 2.61465i | −0.132338 | + | 0.105007i | ||||
\(621\) | −0.246037 | − | 0.142050i | −0.00987314 | − | 0.00570026i | ||||
\(622\) | 1.54935 | − | 0.273192i | 0.0621232 | − | 0.0109540i | ||||
\(623\) | −11.0157 | −0.441336 | ||||||||
\(624\) | −2.11153 | + | 0.372319i | −0.0845288 | + | 0.0149047i | ||||
\(625\) | 24.8502 | + | 2.73263i | 0.994008 | + | 0.109305i | ||||
\(626\) | −20.0295 | − | 7.29015i | −0.800540 | − | 0.291373i | ||||
\(627\) | −27.2391 | + | 9.91423i | −1.08783 | + | 0.395936i | ||||
\(628\) | − | 12.4166i | − | 0.495475i | ||||||
\(629\) | 19.1555 | + | 29.8373i | 0.763779 | + | 1.18969i | ||||
\(630\) | 2.83024 | − | 13.8261i | 0.112760 | − | 0.550844i | ||||
\(631\) | 2.13360 | + | 5.86201i | 0.0849372 | + | 0.233363i | 0.974889 | − | 0.222692i | \(-0.0714843\pi\) |
−0.889952 | + | 0.456055i | \(0.849262\pi\) | |||||||
\(632\) | −1.98977 | + | 5.46685i | −0.0791488 | + | 0.217459i | ||||
\(633\) | −18.0199 | − | 21.4752i | −0.716225 | − | 0.853564i | ||||
\(634\) | 12.0836 | − | 2.13067i | 0.479901 | − | 0.0846195i | ||||
\(635\) | 5.17407 | − | 25.2759i | 0.205327 | − | 1.00304i | ||||
\(636\) | −2.64246 | − | 14.9862i | −0.104781 | − | 0.594240i | ||||
\(637\) | −7.32991 | + | 12.6958i | −0.290422 | + | 0.503025i | ||||
\(638\) | −8.02346 | + | 9.56198i | −0.317652 | + | 0.378563i | ||||
\(639\) | −10.7863 | − | 18.6824i | −0.426698 | − | 0.739063i | ||||
\(640\) | 1.48367 | − | 1.67294i | 0.0586474 | − | 0.0661286i | ||||
\(641\) | −11.8514 | + | 4.31355i | −0.468101 | + | 0.170375i | −0.565292 | − | 0.824891i | \(-0.691236\pi\) |
0.0971910 | + | 0.995266i | \(0.469014\pi\) | |||||||
\(642\) | −2.41552 | + | 2.02686i | −0.0953330 | + | 0.0799939i | ||||
\(643\) | 15.4047 | + | 26.6817i | 0.607501 | + | 1.05222i | 0.991651 | + | 0.128952i | \(0.0411614\pi\) |
−0.384149 | + | 0.923271i | \(0.625505\pi\) | |||||||
\(644\) | −0.199964 | − | 0.0352591i | −0.00787970 | − | 0.00138940i | ||||
\(645\) | −6.82615 | − | 2.69837i | −0.268779 | − | 0.106248i | ||||
\(646\) | 29.3592 | − | 34.9890i | 1.15512 | − | 1.37662i | ||||
\(647\) | −15.3762 | − | 5.59648i | −0.604501 | − | 0.220020i | 0.0215943 | − | 0.999767i | \(-0.493126\pi\) |
−0.626096 | + | 0.779746i | \(0.715348\pi\) | |||||||
\(648\) | −1.36931 | − | 0.498389i | −0.0537917 | − | 0.0195786i | ||||
\(649\) | −24.9697 | + | 29.7578i | −0.980147 | + | 1.16809i | ||||
\(650\) | 5.00568 | − | 7.66768i | 0.196339 | − | 0.300751i | ||||
\(651\) | 8.40165 | + | 1.48144i | 0.329287 | + | 0.0580621i | ||||
\(652\) | 9.06015 | + | 15.6926i | 0.354823 | + | 0.614571i | ||||
\(653\) | −8.20666 | + | 6.88621i | −0.321152 | + | 0.269478i | −0.789083 | − | 0.614287i | \(-0.789444\pi\) |
0.467931 | + | 0.883765i | \(0.344999\pi\) | |||||||
\(654\) | −21.6899 | + | 7.89448i | −0.848142 | + | 0.308699i | ||||
\(655\) | 3.32014 | + | 2.94453i | 0.129729 | + | 0.115052i | ||||
\(656\) | −1.79577 | − | 3.11037i | −0.0701131 | − | 0.121439i | ||||
\(657\) | 4.90362 | − | 5.84391i | 0.191308 | − | 0.227992i | ||||
\(658\) | −21.0843 | + | 36.5190i | −0.821950 | + | 1.42366i | ||||
\(659\) | −2.85317 | − | 16.1811i | −0.111144 | − | 0.630328i | −0.988587 | − | 0.150648i | \(-0.951864\pi\) |
0.877444 | − | 0.479680i | \(-0.159247\pi\) | |||||||
\(660\) | 1.65893 | − | 8.10405i | 0.0645736 | − | 0.315450i | ||||
\(661\) | −37.0623 | + | 6.53508i | −1.44156 | + | 0.254185i | −0.839104 | − | 0.543971i | \(-0.816920\pi\) |
−0.602451 | + | 0.798156i | \(0.705809\pi\) | |||||||
\(662\) | −10.8495 | − | 12.9299i | −0.421678 | − | 0.502536i | ||||
\(663\) | 4.27462 | − | 11.7444i | 0.166013 | − | 0.456116i | ||||
\(664\) | −0.0533260 | − | 0.146512i | −0.00206945 | − | 0.00568577i | ||||
\(665\) | −66.4908 | − | 13.6109i | −2.57840 | − | 0.527808i | ||||
\(666\) | 7.88392 | + | 6.00585i | 0.305496 | + | 0.232722i | ||||
\(667\) | 0.207068i | 0.00801772i | ||||||||
\(668\) | 13.2553 | − | 4.82455i | 0.512864 | − | 0.186667i | ||||
\(669\) | −11.3357 | − | 4.12586i | −0.438263 | − | 0.159515i | ||||
\(670\) | 4.92404 | + | 9.09498i | 0.190232 | + | 0.351370i | ||||
\(671\) | −0.352485 | + | 0.0621526i | −0.0136075 | + | 0.00239937i | ||||
\(672\) | −4.53501 | −0.174942 | ||||||||
\(673\) | −27.5521 | + | 4.85817i | −1.06205 | + | 0.187269i | −0.677268 | − | 0.735737i | \(-0.736836\pi\) |
−0.384787 | + | 0.923006i | \(0.625725\pi\) | |||||||
\(674\) | −22.4215 | − | 12.9450i | −0.863643 | − | 0.498624i | ||||
\(675\) | 24.1749 | − | 12.2447i | 0.930492 | − | 0.471297i | ||||
\(676\) | 4.82300 | + | 8.35368i | 0.185500 | + | 0.321295i | ||||
\(677\) | −26.6112 | − | 15.3640i | −1.02275 | − | 0.590487i | −0.107853 | − | 0.994167i | \(-0.534398\pi\) |
−0.914900 | + | 0.403680i | \(0.867731\pi\) | |||||||
\(678\) | 4.65004 | + | 12.7759i | 0.178584 | + | 0.490654i | ||||
\(679\) | 42.7614 | + | 50.9611i | 1.64103 | + | 1.95571i | ||||
\(680\) | 4.12097 | + | 12.3656i | 0.158032 | + | 0.474200i | ||||
\(681\) | 15.6823 | + | 2.76521i | 0.600946 | + | 0.105963i | ||||
\(682\) | −5.85401 | − | 1.03222i | −0.224162 | − | 0.0395258i | ||||
\(683\) | 1.68483 | + | 1.41374i | 0.0644681 | + | 0.0540952i | 0.674452 | − | 0.738318i | \(-0.264380\pi\) |
−0.609984 | + | 0.792414i | \(0.708824\pi\) | |||||||
\(684\) | 4.36658 | − | 11.9971i | 0.166960 | − | 0.458720i | ||||
\(685\) | 14.9299 | − | 24.2979i | 0.570444 | − | 0.928375i | ||||
\(686\) | −2.50170 | + | 2.98141i | −0.0955153 | + | 0.113831i | ||||
\(687\) | 18.3918 | + | 3.24296i | 0.701689 | + | 0.123727i | ||||
\(688\) | 0.486883 | − | 2.76125i | 0.0185623 | − | 0.105272i | ||||
\(689\) | 20.6152 | − | 11.9022i | 0.785376 | − | 0.453437i | ||||
\(690\) | −0.0653336 | − | 0.120675i | −0.00248721 | − | 0.00459402i | ||||
\(691\) | 24.8083 | − | 9.02948i | 0.943752 | − | 0.343498i | 0.176105 | − | 0.984371i | \(-0.443650\pi\) |
0.767646 | + | 0.640874i | \(0.221428\pi\) | |||||||
\(692\) | 2.38571 | + | 1.37739i | 0.0906909 | + | 0.0523604i | ||||
\(693\) | 17.2713 | − | 9.97160i | 0.656083 | − | 0.378790i | ||||
\(694\) | −12.5762 | − | 10.5527i | −0.477385 | − | 0.400573i | ||||
\(695\) | −22.7832 | + | 25.6895i | −0.864217 | + | 0.974458i | ||||
\(696\) | 0.803084 | + | 4.55452i | 0.0304408 | + | 0.172639i | ||||
\(697\) | 20.9354 | 0.792985 | ||||||||
\(698\) | −3.63461 | − | 20.6129i | −0.137572 | − | 0.780210i | ||||
\(699\) | 6.64184 | − | 5.57317i | 0.251218 | − | 0.210797i | ||||
\(700\) | 13.2429 | − | 14.1331i | 0.500535 | − | 0.534180i | ||||
\(701\) | 15.8620 | + | 43.5806i | 0.599101 | + | 1.64602i | 0.753069 | + | 0.657941i | \(0.228572\pi\) |
−0.153968 | + | 0.988076i | \(0.549205\pi\) | |||||||
\(702\) | − | 9.92579i | − | 0.374625i | ||||||
\(703\) | 28.8827 | − | 37.9145i | 1.08933 | − | 1.42997i | ||||
\(704\) | 3.15985 | 0.119091 | ||||||||
\(705\) | −28.1906 | + | 4.17850i | −1.06172 | + | 0.157371i | ||||
\(706\) | −12.0586 | − | 4.38896i | −0.453831 | − | 0.165181i | ||||
\(707\) | −21.0255 | − | 25.0572i | −0.790745 | − | 0.942374i | ||||
\(708\) | 2.49927 | + | 14.1741i | 0.0939283 | + | 0.532694i | ||||
\(709\) | − | 2.53774i | − | 0.0953067i | −0.998864 | − | 0.0476534i | \(-0.984826\pi\) | ||
0.998864 | − | 0.0476534i | \(-0.0151743\pi\) | |||||||
\(710\) | 0.810528 | − | 29.5944i | 0.0304186 | − | 1.11066i | ||||
\(711\) | −8.20909 | − | 4.73952i | −0.307865 | − | 0.177746i | ||||
\(712\) | 1.82796 | − | 2.17848i | 0.0685056 | − | 0.0816418i | ||||
\(713\) | −0.0853990 | + | 0.0493051i | −0.00319822 | + | 0.00184649i | ||||
\(714\) | 13.2175 | − | 22.8933i | 0.494652 | − | 0.856762i | ||||
\(715\) | 12.8001 | − | 1.89728i | 0.478698 | − | 0.0709542i | ||||
\(716\) | −4.42692 | − | 5.27580i | −0.165442 | − | 0.197166i | ||||
\(717\) | −7.15423 | − | 12.3915i | −0.267180 | − | 0.462769i | ||||
\(718\) | 3.16896 | − | 17.9721i | 0.118265 | − | 0.670711i | ||||
\(719\) | −0.394614 | + | 2.23797i | −0.0147166 | + | 0.0834621i | −0.991281 | − | 0.131761i | \(-0.957937\pi\) |
0.976565 | + | 0.215223i | \(0.0690479\pi\) | |||||||
\(720\) | 2.26460 | + | 2.85402i | 0.0843966 | + | 0.106363i | ||||
\(721\) | 3.21382 | − | 8.82989i | 0.119689 | − | 0.328842i | ||||
\(722\) | −39.8409 | − | 14.5009i | −1.48272 | − | 0.539668i | ||||
\(723\) | 7.96489 | + | 6.68334i | 0.296217 | + | 0.248556i | ||||
\(724\) | 0.973894 | − | 5.52323i | 0.0361945 | − | 0.205269i | ||||
\(725\) | −16.5390 | − | 10.7971i | −0.614243 | − | 0.400995i | ||||
\(726\) | −1.02943 | + | 0.594343i | −0.0382058 | + | 0.0220581i | ||||
\(727\) | −26.7832 | + | 22.4737i | −0.993332 | + | 0.833505i | −0.986047 | − | 0.166469i | \(-0.946764\pi\) |
−0.00728565 | + | 0.999973i | \(0.502319\pi\) | |||||||
\(728\) | −2.42632 | − | 6.66625i | −0.0899253 | − | 0.247068i | ||||
\(729\) | 10.7050 | − | 18.5416i | 0.396481 | − | 0.686725i | ||||
\(730\) | 9.93234 | − | 3.31005i | 0.367612 | − | 0.122511i | ||||
\(731\) | 12.5201 | + | 10.5056i | 0.463074 | + | 0.388565i | ||||
\(732\) | −0.0663064 | + | 0.114846i | −0.00245076 | + | 0.00424483i | ||||
\(733\) | 21.8656 | − | 3.85550i | 0.807625 | − | 0.142406i | 0.245434 | − | 0.969413i | \(-0.421070\pi\) |
0.562191 | + | 0.827007i | \(0.309958\pi\) | |||||||
\(734\) | − | 1.28746i | − | 0.0475212i | ||||||
\(735\) | −20.9476 | − | 0.573709i | −0.772662 | − | 0.0211616i | ||||
\(736\) | 0.0401551 | − | 0.0336941i | 0.00148014 | − | 0.00124198i | ||||
\(737\) | −4.99867 | + | 13.7337i | −0.184128 | + | 0.505888i | ||||
\(738\) | 5.49896 | − | 2.00146i | 0.202419 | − | 0.0736746i | ||||
\(739\) | 35.9405 | 1.32209 | 0.661046 | − | 0.750345i | \(-0.270113\pi\) | ||||
0.661046 | + | 0.750345i | \(0.270113\pi\) | |||||||
\(740\) | 4.90348 | + | 12.6868i | 0.180255 | + | 0.466378i | ||||
\(741\) | −16.8005 | −0.617181 | ||||||||
\(742\) | 47.3124 | − | 17.2203i | 1.73689 | − | 0.632177i | ||||
\(743\) | −9.56742 | + | 26.2863i | −0.350995 | + | 0.964350i | 0.631057 | + | 0.775737i | \(0.282621\pi\) |
−0.982051 | + | 0.188613i | \(0.939601\pi\) | |||||||
\(744\) | −1.68715 | + | 1.41568i | −0.0618538 | + | 0.0519015i | ||||
\(745\) | −0.509159 | + | 18.5907i | −0.0186542 | + | 0.681110i | ||||
\(746\) | − | 6.60820i | − | 0.241943i | ||||||
\(747\) | 0.250180 | − | 0.0441135i | 0.00915360 | − | 0.00161403i | ||||
\(748\) | −9.20953 | + | 15.9514i | −0.336734 | + | 0.583240i | ||||
\(749\) | −7.99210 | − | 6.70617i | −0.292025 | − | 0.245038i | ||||
\(750\) | 13.0452 | + | 1.07399i | 0.476345 | + | 0.0392167i | ||||
\(751\) | −6.09994 | + | 10.5654i | −0.222590 | + | 0.385537i | −0.955594 | − | 0.294688i | \(-0.904784\pi\) |
0.733004 | + | 0.680225i | \(0.238118\pi\) | |||||||
\(752\) | −3.72328 | − | 10.2296i | −0.135774 | − | 0.373036i | ||||
\(753\) | 21.6443 | − | 18.1617i | 0.788763 | − | 0.661850i | ||||
\(754\) | −6.26526 | + | 3.61725i | −0.228167 | + | 0.131733i | ||||
\(755\) | 3.84745 | − | 9.73303i | 0.140023 | − | 0.354221i | ||||
\(756\) | 3.64559 | − | 20.6752i | 0.132589 | − | 0.751949i | ||||
\(757\) | −26.3574 | − | 22.1165i | −0.957977 | − | 0.803838i | 0.0226462 | − | 0.999744i | \(-0.492791\pi\) |
−0.980623 | + | 0.195906i | \(0.937235\pi\) | |||||||
\(758\) | 8.54313 | + | 3.10945i | 0.310301 | + | 0.112940i | ||||
\(759\) | 0.0663238 | − | 0.182223i | 0.00240740 | − | 0.00661428i | ||||
\(760\) | 13.7252 | − | 10.8907i | 0.497867 | − | 0.395046i | ||||
\(761\) | −0.0643946 | + | 0.365200i | −0.00233430 | + | 0.0132385i | −0.985953 | − | 0.167025i | \(-0.946584\pi\) |
0.983618 | + | 0.180263i | \(0.0576950\pi\) | |||||||
\(762\) | 2.34568 | − | 13.3030i | 0.0849752 | − | 0.481918i | ||||
\(763\) | −38.1849 | − | 66.1383i | −1.38239 | − | 2.39437i | ||||
\(764\) | −8.57823 | − | 10.2231i | −0.310350 | − | 0.369860i | ||||
\(765\) | −21.0078 | + | 3.11384i | −0.759537 | + | 0.112581i | ||||
\(766\) | 7.87155 | − | 13.6339i | 0.284411 | − | 0.492614i | ||||
\(767\) | −19.4981 | + | 11.2572i | −0.704034 | + | 0.406474i | ||||
\(768\) | 0.752543 | − | 0.896846i | 0.0271551 | − | 0.0323621i | ||||
\(769\) | −17.0519 | − | 9.84491i | −0.614906 | − | 0.355016i | 0.159977 | − | 0.987121i | \(-0.448858\pi\) |
−0.774883 | + | 0.632104i | \(0.782191\pi\) | |||||||
\(770\) | 27.3592 | + | 0.749311i | 0.985957 | + | 0.0270033i | ||||
\(771\) | 24.3755i | 0.877863i | ||||||||
\(772\) | −1.09215 | − | 6.19387i | −0.0393072 | − | 0.222922i | ||||
\(773\) | 11.2401 | + | 13.3954i | 0.404277 | + | 0.481798i | 0.929319 | − | 0.369278i | \(-0.120395\pi\) |
−0.525042 | + | 0.851076i | \(0.675950\pi\) | |||||||
\(774\) | 4.29293 | + | 1.56250i | 0.154306 | + | 0.0561629i | ||||
\(775\) | 0.514835 | − | 9.39191i | 0.0184934 | − | 0.337367i | ||||
\(776\) | −17.1740 | −0.616510 | ||||||||
\(777\) | 12.6519 | − | 24.5129i | 0.453883 | − | 0.879396i | ||||
\(778\) | − | 16.0142i | − | 0.574137i | ||||||
\(779\) | −9.62518 | − | 26.4450i | −0.344858 | − | 0.947490i | ||||
\(780\) | 2.50995 | − | 4.08485i | 0.0898708 | − | 0.146261i | ||||
\(781\) | 32.0486 | − | 26.8919i | 1.14679 | − | 0.962270i | ||||
\(782\) | 0.0530588 | + | 0.300912i | 0.00189738 | + | 0.0107606i | ||||
\(783\) | −21.4097 | −0.765120 | ||||||||
\(784\) | −1.39001 | − | 7.88313i | −0.0496432 | − | 0.281540i | ||||
\(785\) | 20.7721 | + | 18.4221i | 0.741388 | + | 0.657514i | ||||
\(786\) | 1.77990 | + | 1.49351i | 0.0634868 | + | 0.0532718i | ||||
\(787\) | −34.3821 | + | 19.8505i | −1.22559 | + | 0.707594i | −0.966104 | − | 0.258153i | \(-0.916886\pi\) |
−0.259485 | + | 0.965747i | \(0.583553\pi\) | |||||||
\(788\) | 12.8761 | + | 7.43403i | 0.458693 | + | 0.264826i | ||||
\(789\) | 18.4396 | − | 6.71146i | 0.656467 | − | 0.238934i | ||||
\(790\) | −6.19351 | − | 11.4398i | −0.220355 | − | 0.407009i | ||||
\(791\) | −38.9570 | + | 22.4918i | −1.38515 | + | 0.799718i | ||||
\(792\) | −0.894027 | + | 5.07028i | −0.0317679 | + | 0.180165i | ||||
\(793\) | −0.204294 | − | 0.0360225i | −0.00725468 | − | 0.00127920i | ||||
\(794\) | 5.93547 | − | 7.07362i | 0.210642 | − | 0.251033i | ||||
\(795\) | 28.9914 | + | 17.8139i | 1.02822 | + | 0.631794i | ||||
\(796\) | −4.11166 | + | 11.2967i | −0.145734 | + | 0.400400i | ||||
\(797\) | −22.9229 | − | 19.2346i | −0.811969 | − | 0.681323i | 0.139108 | − | 0.990277i | \(-0.455577\pi\) |
−0.951077 | + | 0.308954i | \(0.900021\pi\) | |||||||
\(798\) | −34.9950 | − | 6.17056i | −1.23881 | − | 0.218436i | ||||
\(799\) | 62.4922 | + | 11.0191i | 2.21082 | + | 0.389827i | ||||
\(800\) | 0.597424 | + | 4.96418i | 0.0211221 | + | 0.175510i | ||||
\(801\) | 2.97838 | + | 3.54949i | 0.105236 | + | 0.125415i | ||||
\(802\) | −4.06733 | − | 11.1749i | −0.143623 | − | 0.394600i | ||||
\(803\) | 12.8125 | + | 7.39729i | 0.452143 | + | 0.261045i | ||||
\(804\) | 2.70751 | + | 4.68954i | 0.0954864 | + | 0.165387i | ||||
\(805\) | 0.355668 | − | 0.282214i | 0.0125357 | − | 0.00994675i | ||||
\(806\) | −2.98365 | − | 1.72261i | −0.105095 | − | 0.0606763i | ||||
\(807\) | 34.4041 | − | 6.06637i | 1.21108 | − | 0.213546i | ||||
\(808\) | 8.44432 | 0.297070 | ||||||||
\(809\) | −29.5770 | + | 5.21522i | −1.03987 | + | 0.183357i | −0.667410 | − | 0.744690i | \(-0.732597\pi\) |
−0.372461 | + | 0.928048i | \(0.621486\pi\) | |||||||
\(810\) | 2.86538 | − | 1.55132i | 0.100679 | − | 0.0545080i | ||||
\(811\) | −14.5024 | − | 5.27845i | −0.509249 | − | 0.185352i | 0.0746002 | − | 0.997214i | \(-0.476232\pi\) |
−0.583849 | + | 0.811862i | \(0.698454\pi\) | |||||||
\(812\) | −14.3789 | + | 5.23351i | −0.504602 | + | 0.183660i | ||||
\(813\) | − | 10.8253i | − | 0.379659i | ||||||
\(814\) | −8.81543 | + | 17.0799i | −0.308981 | + | 0.598649i | ||||
\(815\) | −39.6951 | − | 8.12572i | −1.39046 | − | 0.284632i | ||||
\(816\) | 2.33408 | + | 6.41284i | 0.0817092 | + | 0.224494i | ||||
\(817\) | 7.51420 | − | 20.6451i | 0.262889 | − | 0.722281i | ||||
\(818\) | −2.59209 | − | 3.08913i | −0.0906304 | − | 0.108009i | ||||
\(819\) | 11.3831 | − | 2.00715i | 0.397758 | − | 0.0701355i | ||||
\(820\) | 7.86778 | + | 1.61056i | 0.274755 | + | 0.0562433i | ||||
\(821\) | 8.12974 | + | 46.1061i | 0.283730 | + | 1.60911i | 0.709787 | + | 0.704416i | \(0.248791\pi\) |
−0.426057 | + | 0.904696i | \(0.640098\pi\) | |||||||
\(822\) | 7.46572 | − | 12.9310i | 0.260397 | − | 0.451021i | ||||
\(823\) | 26.0922 | − | 31.0955i | 0.909518 | − | 1.08392i | −0.0866301 | − | 0.996241i | \(-0.527610\pi\) |
0.996149 | − | 0.0876813i | \(-0.0279457\pi\) | |||||||
\(824\) | 1.21290 | + | 2.10081i | 0.0422534 | + | 0.0731850i | ||||
\(825\) | 11.0962 | + | 14.7990i | 0.386322 | + | 0.515237i | ||||
\(826\) | −44.7486 | + | 16.2871i | −1.55700 | + | 0.566702i | ||||
\(827\) | 21.4368 | − | 17.9876i | 0.745430 | − | 0.625490i | −0.188860 | − | 0.982004i | \(-0.560479\pi\) |
0.934290 | + | 0.356514i | \(0.116035\pi\) | |||||||
\(828\) | 0.0427042 | + | 0.0739658i | 0.00148407 | + | 0.00257049i | ||||
\(829\) | −34.7797 | − | 6.13260i | −1.20795 | − | 0.212994i | −0.466818 | − | 0.884354i | \(-0.654600\pi\) |
−0.741132 | + | 0.671360i | \(0.765711\pi\) | |||||||
\(830\) | 0.324224 | + | 0.128165i | 0.0112540 | + | 0.00444868i | ||||
\(831\) | −0.880786 | + | 1.04968i | −0.0305541 | + | 0.0364130i | ||||
\(832\) | 1.72095 | + | 0.626373i | 0.0596631 | + | 0.0217156i | ||||
\(833\) | 43.8464 | + | 15.9588i | 1.51919 | + | 0.552939i | ||||
\(834\) | −11.5560 | + | 13.7719i | −0.400152 | + | 0.476882i | ||||
\(835\) | −11.5954 | + | 29.3334i | −0.401277 | + | 1.01512i | ||||
\(836\) | 24.3834 | + | 4.29946i | 0.843319 | + | 0.148700i | ||||
\(837\) | −5.09787 | − | 8.82977i | −0.176208 | − | 0.305202i | ||||
\(838\) | 26.4696 | − | 22.2107i | 0.914378 | − | 0.767255i | ||||
\(839\) | 27.5788 | − | 10.0379i | 0.952126 | − | 0.346546i | 0.181183 | − | 0.983449i | \(-0.442007\pi\) |
0.770943 | + | 0.636904i | \(0.219785\pi\) | |||||||
\(840\) | 6.72847 | − | 7.58677i | 0.232154 | − | 0.261769i | ||||
\(841\) | −6.69768 | − | 11.6007i | −0.230954 | − | 0.400025i | ||||
\(842\) | −22.8034 | + | 27.1761i | −0.785858 | + | 0.936549i | ||||
\(843\) | −16.6776 | + | 28.8864i | −0.574406 | + | 0.994900i | ||||
\(844\) | 4.15805 | + | 23.5815i | 0.143126 | + | 0.811709i | ||||
\(845\) | −21.1309 | − | 4.32557i | −0.726926 | − | 0.148804i | ||||
\(846\) | 17.4678 | − | 3.08005i | 0.600556 | − | 0.105894i | ||||
\(847\) | −2.52804 | − | 3.01281i | −0.0868646 | − | 0.103521i | ||||
\(848\) | −4.44556 | + | 12.2141i | −0.152661 | + | 0.419433i | ||||
\(849\) | −0.0849214 | − | 0.233319i | −0.00291449 | − | 0.00800750i | ||||
\(850\) | −26.8011 | − | 11.4524i | −0.919270 | − | 0.392816i | ||||
\(851\) | 0.0701002 | + | 0.311050i | 0.00240301 | + | 0.0106626i | ||||
\(852\) | − | 15.5007i | − | 0.531046i | ||||||
\(853\) | 27.9471 | − | 10.1719i | 0.956889 | − | 0.348279i | 0.184075 | − | 0.982912i | \(-0.441071\pi\) |
0.772814 | + | 0.634633i | \(0.218849\pi\) | |||||||
\(854\) | −0.412308 | − | 0.150068i | −0.0141089 | − | 0.00513522i | ||||
\(855\) | 13.5918 | + | 25.1048i | 0.464828 | + | 0.858565i | ||||
\(856\) | 2.65243 | − | 0.467695i | 0.0906583 | − | 0.0159855i | ||||
\(857\) | 32.5701 | 1.11257 | 0.556286 | − | 0.830991i | \(-0.312226\pi\) | ||||
0.556286 | + | 0.830991i | \(0.312226\pi\) | |||||||
\(858\) | 6.67212 | − | 1.17648i | 0.227783 | − | 0.0401642i | ||||
\(859\) | −4.23678 | − | 2.44611i | −0.144557 | − | 0.0834601i | 0.425977 | − | 0.904734i | \(-0.359930\pi\) |
−0.570534 | + | 0.821274i | \(0.693264\pi\) | |||||||
\(860\) | 3.89702 | + | 4.91132i | 0.132887 | + | 0.167475i | ||||
\(861\) | −8.14384 | − | 14.1055i | −0.277541 | − | 0.480716i | ||||
\(862\) | −26.5616 | − | 15.3353i | −0.904692 | − | 0.522324i | ||||
\(863\) | 0.409525 | + | 1.12516i | 0.0139404 | + | 0.0383009i | 0.946468 | − | 0.322799i | \(-0.104624\pi\) |
−0.932527 | + | 0.361100i | \(0.882401\pi\) | |||||||
\(864\) | 3.48378 | + | 4.15181i | 0.118521 | + | 0.141247i | ||||
\(865\) | −5.84389 | + | 1.94754i | −0.198698 | + | 0.0662182i | ||||
\(866\) | −4.44790 | − | 0.784284i | −0.151146 | − | 0.0266511i | ||||
\(867\) | −19.5753 | − | 3.45166i | −0.664812 | − | 0.117224i | ||||
\(868\) | −5.58218 | − | 4.68400i | −0.189471 | − | 0.158985i | ||||
\(869\) | 6.28738 | − | 17.2744i | 0.213285 | − | 0.585995i | ||||
\(870\) | −8.81093 | − | 5.41391i | −0.298718 | − | 0.183549i | ||||
\(871\) | −5.44484 | + | 6.48890i | −0.184491 | + | 0.219868i | ||||
\(872\) | 19.4160 | + | 3.42356i | 0.657508 | + | 0.115936i | ||||
\(873\) | 4.85908 | − | 27.5572i | 0.164455 | − | 0.932671i | ||||
\(874\) | 0.355708 | − | 0.205368i | 0.0120320 | − | 0.00694669i | ||||
\(875\) | 3.99554 | + | 43.1234i | 0.135074 | + | 1.45784i | ||||
\(876\) | 5.15093 | − | 1.87478i | 0.174034 | − | 0.0633431i | ||||
\(877\) | 18.1225 | + | 10.4630i | 0.611952 | + | 0.353311i | 0.773729 | − | 0.633517i | \(-0.218389\pi\) |
−0.161777 | + | 0.986827i | \(0.551722\pi\) | |||||||
\(878\) | −28.2667 | + | 16.3198i | −0.953954 | + | 0.550766i | ||||
\(879\) | −2.48212 | − | 2.08275i | −0.0837199 | − | 0.0702494i | ||||
\(880\) | −4.68819 | + | 5.28623i | −0.158039 | + | 0.178199i | ||||
\(881\) | 0.975014 | + | 5.52958i | 0.0328490 | + | 0.186296i | 0.996817 | − | 0.0797216i | \(-0.0254031\pi\) |
−0.963968 | + | 0.266018i | \(0.914292\pi\) | |||||||
\(882\) | 13.0425 | 0.439164 | ||||||||
\(883\) | 8.64141 | + | 49.0079i | 0.290807 | + | 1.64925i | 0.683774 | + | 0.729694i | \(0.260338\pi\) |
−0.392967 | + | 0.919553i | \(0.628551\pi\) | |||||||
\(884\) | −8.17780 | + | 6.86199i | −0.275049 | + | 0.230794i | ||||
\(885\) | −27.4204 | − | 16.8486i | −0.921726 | − | 0.566359i | ||||
\(886\) | −2.91195 | − | 8.00051i | −0.0978287 | − | 0.268782i | ||||
\(887\) | − | 3.17806i | − | 0.106709i | −0.998576 | − | 0.0533545i | \(-0.983009\pi\) | ||
0.998576 | − | 0.0533545i | \(-0.0169913\pi\) | |||||||
\(888\) | 2.74823 | + | 6.56973i | 0.0922246 | + | 0.220466i | ||||
\(889\) | 44.6941 | 1.49899 | ||||||||
\(890\) | 0.932355 | + | 6.29020i | 0.0312526 | + | 0.210848i | ||||
\(891\) | 4.32683 | + | 1.57484i | 0.144954 | + | 0.0527590i | ||||
\(892\) | 6.62317 | + | 7.89319i | 0.221760 | + | 0.264284i | ||||
\(893\) | −14.8122 | − | 84.0044i | −0.495673 | − | 2.81110i | ||||
\(894\) | 9.73726i | 0.325663i | ||||||||
\(895\) | 15.3942 | + | 0.421614i | 0.514570 | + | 0.0140930i | ||||
\(896\) | 3.35463 | + | 1.93680i | 0.112070 | + | 0.0647039i | ||||
\(897\) | 0.0722437 | − | 0.0860967i | 0.00241215 | − | 0.00287469i | ||||
\(898\) | −14.6882 | + | 8.48023i | −0.490151 | + | 0.282989i | ||||
\(899\) | −3.71563 | + | 6.43566i | −0.123923 | + | 0.214641i | ||||
\(900\) | −8.13452 | − | 0.445909i | −0.271151 | − | 0.0148636i | ||||
\(901\) | −48.7016 | − | 58.0403i | −1.62249 | − | 1.93360i | ||||
\(902\) | 5.67438 | + | 9.82831i | 0.188936 | + | 0.327247i | ||||
\(903\) | 2.20802 | − | 12.5223i | 0.0734783 | − | 0.416716i | ||||
\(904\) | 2.01656 | − | 11.4365i | 0.0670698 | − | 0.380372i | ||||
\(905\) | 7.79506 | + | 9.82393i | 0.259117 | + | 0.326558i | ||||
\(906\) | 1.87416 | − | 5.14921i | 0.0622648 | − | 0.171071i | ||||
\(907\) | −40.4496 | − | 14.7225i | −1.34311 | − | 0.488852i | −0.432318 | − | 0.901721i | \(-0.642304\pi\) |
−0.910790 | + | 0.412869i | \(0.864527\pi\) | |||||||
\(908\) | −10.4195 | − | 8.74302i | −0.345784 | − | 0.290147i | ||||
\(909\) | −2.38918 | + | 13.5497i | −0.0792440 | + | 0.449415i | ||||
\(910\) | 14.7521 | + | 5.83147i | 0.489026 | + | 0.193311i | ||||
\(911\) | −24.3443 | + | 14.0552i | −0.806563 | + | 0.465669i | −0.845761 | − | 0.533562i | \(-0.820853\pi\) |
0.0391980 | + | 0.999231i | \(0.487520\pi\) | |||||||
\(912\) | 7.02739 | − | 5.89668i | 0.232700 | − | 0.195259i | ||||
\(913\) | 0.168502 | + | 0.462957i | 0.00557662 | + | 0.0153216i | ||||
\(914\) | −1.26112 | + | 2.18432i | −0.0417141 | + | 0.0722510i | ||||
\(915\) | −0.0937529 | − | 0.281320i | −0.00309938 | − | 0.00930017i | ||||
\(916\) | −12.2197 | − | 10.2536i | −0.403751 | − | 0.338788i | ||||
\(917\) | −3.84381 | + | 6.65767i | −0.126934 | + | 0.219856i | ||||
\(918\) | −31.1125 | + | 5.48598i | −1.02687 | + | 0.181064i | ||||
\(919\) | 6.80380i | 0.224437i | 0.993684 | + | 0.112218i | \(0.0357956\pi\) | ||||
−0.993684 | + | 0.112218i | \(0.964204\pi\) | |||||||
\(920\) | −0.00320898 | + | 0.117168i | −0.000105797 | + | 0.00386292i | ||||
\(921\) | −26.9840 | + | 22.6423i | −0.889153 | + | 0.746088i | ||||
\(922\) | −5.37408 | + | 14.7652i | −0.176986 | + | 0.486265i | ||||
\(923\) | 22.7853 | − | 8.29318i | 0.749988 | − | 0.272973i | ||||
\(924\) | 14.3300 | 0.471421 | ||||||||
\(925\) | −28.4994 | − | 10.6199i | −0.937055 | − | 0.349181i | ||||
\(926\) | 6.54500 | 0.215082 | ||||||||
\(927\) | −3.71411 | + | 1.35182i | −0.121987 | + | 0.0443997i | ||||
\(928\) | 1.35107 | − | 3.71204i | 0.0443511 | − | 0.121854i | ||||
\(929\) | 30.7158 | − | 25.7736i | 1.00775 | − | 0.845604i | 0.0197124 | − | 0.999806i | \(-0.493725\pi\) |
0.988039 | + | 0.154202i | \(0.0492805\pi\) | |||||||
\(930\) | 0.134828 | − | 4.92290i | 0.00442118 | − | 0.161428i | ||||
\(931\) | − | 62.7225i | − | 2.05565i | ||||||
\(932\) | −7.29327 | + | 1.28600i | −0.238899 | + | 0.0421243i | ||||
\(933\) | −0.920941 | + | 1.59512i | −0.0301502 | + | 0.0522218i | ||||
\(934\) | 20.1030 | + | 16.8685i | 0.657792 | + | 0.551953i | ||||
\(935\) | −13.0217 | − | 39.0736i | −0.425854 | − | 1.27784i | ||||
\(936\) | −1.49199 | + | 2.58420i | −0.0487671 | + | 0.0844671i | ||||
\(937\) | −0.00624233 | − | 0.0171507i | −0.000203928 | − | 0.000560288i | 0.939591 | − | 0.342300i | \(-0.111206\pi\) |
−0.939795 | + | 0.341740i | \(0.888984\pi\) | |||||||
\(938\) | −13.7247 | + | 11.5164i | −0.448128 | + | 0.376024i | ||||
\(939\) | 21.6112 | − | 12.4772i | 0.705255 | − | 0.407179i | ||||
\(940\) | 22.6376 | + | 8.94863i | 0.738358 | + | 0.291872i | ||||
\(941\) | 6.67589 | − | 37.8608i | 0.217628 | − | 1.23423i | −0.658661 | − | 0.752440i | \(-0.728877\pi\) |
0.876288 | − | 0.481787i | \(-0.160012\pi\) | |||||||
\(942\) | 11.1357 | + | 9.34400i | 0.362822 | + | 0.304444i | ||||
\(943\) | 0.176911 | + | 0.0643902i | 0.00576100 | + | 0.00209683i | ||||
\(944\) | 4.20466 | − | 11.5522i | 0.136850 | − | 0.375992i | ||||
\(945\) | 29.1794 | + | 36.7741i | 0.949205 | + | 1.19626i | ||||
\(946\) | −1.53848 | + | 8.72516i | −0.0500203 | + | 0.283679i | ||||
\(947\) | −8.50967 | + | 48.2607i | −0.276527 | + | 1.56826i | 0.457542 | + | 0.889188i | \(0.348730\pi\) |
−0.734069 | + | 0.679075i | \(0.762381\pi\) | |||||||
\(948\) | −3.40553 | − | 5.89855i | −0.110607 | − | 0.191576i | ||||
\(949\) | 5.51169 | + | 6.56858i | 0.178917 | + | 0.213225i | ||||
\(950\) | −2.14442 | + | 39.1196i | −0.0695741 | + | 1.26921i | ||||
\(951\) | −7.18255 | + | 12.4405i | −0.232910 | + | 0.403412i | ||||
\(952\) | −19.5544 | + | 11.2898i | −0.633763 | + | 0.365903i | ||||
\(953\) | 0.362485 | − | 0.431993i | 0.0117420 | − | 0.0139936i | −0.760141 | − | 0.649758i | \(-0.774870\pi\) |
0.771884 | + | 0.635764i | \(0.219315\pi\) | |||||||
\(954\) | −18.3408 | − | 10.5891i | −0.593806 | − | 0.342834i | ||||
\(955\) | 29.8300 | + | 0.816979i | 0.965275 | + | 0.0264368i | ||||
\(956\) | 12.2216i | 0.395276i | ||||||||
\(957\) | −2.53763 | − | 14.3916i | −0.0820299 | − | 0.465215i | ||||
\(958\) | 9.70032 | + | 11.5604i | 0.313403 | + | 0.373499i | ||||
\(959\) | 46.4235 | + | 16.8968i | 1.49909 | + | 0.545625i | ||||
\(960\) | 0.383836 | + | 2.58958i | 0.0123883 | + | 0.0835784i | ||||
\(961\) | 27.4611 | 0.885841 | ||||||||
\(962\) | −8.18685 | + | 7.55471i | −0.263955 | + | 0.243574i | ||||
\(963\) | 4.38840i | 0.141414i | ||||||||
\(964\) | −3.03748 | − | 8.34541i | −0.0978307 | − | 0.268788i | ||||
\(965\) | 11.9823 | + | 7.36260i | 0.385725 | + | 0.237010i | ||||
\(966\) | 0.182104 | − | 0.152803i | 0.00585909 | − | 0.00491636i | ||||
\(967\) | 3.86499 | + | 21.9194i | 0.124290 | + | 0.704882i | 0.981727 | + | 0.190294i | \(0.0609440\pi\) |
−0.857438 | + | 0.514588i | \(0.827945\pi\) | |||||||
\(968\) | 1.01532 | 0.0326336 | ||||||||
\(969\) | 9.28562 | + | 52.6614i | 0.298297 | + | 1.69173i | ||||
\(970\) | 25.4806 | − | 28.7309i | 0.818132 | − | 0.922495i | ||||
\(971\) | 2.52205 | + | 2.11625i | 0.0809363 | + | 0.0679136i | 0.682358 | − | 0.731018i | \(-0.260954\pi\) |
−0.601422 | + | 0.798932i | \(0.705399\pi\) | |||||||
\(972\) | −12.6036 | + | 7.27670i | −0.404261 | + | 0.233400i | ||||
\(973\) | −51.5135 | − | 29.7414i | −1.65145 | − | 0.953464i | ||||
\(974\) | 9.63664 | − | 3.50745i | 0.308778 | − | 0.112386i | ||||
\(975\) | 3.10974 | + | 10.2596i | 0.0995913 | + | 0.328569i | ||||
\(976\) | 0.0980962 | − | 0.0566359i | 0.00313998 | − | 0.00181287i | ||||
\(977\) | 9.66508 | − | 54.8134i | 0.309213 | − | 1.75364i | −0.293764 | − | 0.955878i | \(-0.594908\pi\) |
0.602977 | − | 0.797758i | \(-0.293981\pi\) | |||||||
\(978\) | −20.8920 | − | 3.68383i | −0.668054 | − | 0.117796i | ||||
\(979\) | −5.77608 | + | 6.88367i | −0.184604 | + | 0.220003i | ||||
\(980\) | 15.2503 | + | 9.37060i | 0.487152 | + | 0.299333i | ||||
\(981\) | −10.9868 | + | 30.1861i | −0.350783 | + | 0.963768i | ||||
\(982\) | 19.0723 | + | 16.0036i | 0.608622 | + | 0.510694i | ||||
\(983\) | 12.6944 | + | 2.23836i | 0.404887 | + | 0.0713925i | 0.372383 | − | 0.928079i | \(-0.378541\pi\) |
0.0325039 | + | 0.999472i | \(0.489652\pi\) | |||||||
\(984\) | 4.14092 | + | 0.730155i | 0.132008 | + | 0.0232765i | ||||
\(985\) | −31.5406 | + | 10.5112i | −1.00497 | + | 0.334916i | ||||
\(986\) | 14.8011 | + | 17.6393i | 0.471364 | + | 0.561750i | ||||
\(987\) | −16.8851 | − | 46.3914i | −0.537459 | − | 1.47666i | ||||
\(988\) | 12.4276 | + | 7.17510i | 0.395376 | + | 0.228270i | ||||
\(989\) | 0.0734872 | + | 0.127284i | 0.00233676 | + | 0.00404738i | ||||
\(990\) | −7.15580 | − | 9.01829i | −0.227426 | − | 0.286620i | ||||
\(991\) | −36.2811 | − | 20.9469i | −1.15251 | − | 0.665399i | −0.203009 | − | 0.979177i | \(-0.565072\pi\) |
−0.949497 | + | 0.313777i | \(0.898405\pi\) | |||||||
\(992\) | 1.85262 | − | 0.326667i | 0.0588208 | − | 0.0103717i | ||||
\(993\) | 19.7609 | 0.627092 | ||||||||
\(994\) | 50.5072 | − | 8.90578i | 1.60199 | − | 0.282474i | ||||
\(995\) | −12.7983 | − | 23.6391i | −0.405732 | − | 0.749411i | ||||
\(996\) | 0.171529 | + | 0.0624314i | 0.00543510 | + | 0.00197821i | ||||
\(997\) | −29.9417 | + | 10.8979i | −0.948262 | + | 0.345139i | −0.769423 | − | 0.638739i | \(-0.779456\pi\) |
−0.178839 | + | 0.983878i | \(0.557234\pi\) | |||||||
\(998\) | − | 23.8506i | − | 0.754977i | ||||||
\(999\) | −32.1608 | + | 7.24796i | −1.01752 | + | 0.229315i |
(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.v.b.289.4 | yes | 60 | |
5.4 | even | 2 | 370.2.v.a.289.7 | yes | 60 | ||
37.21 | even | 18 | 370.2.v.a.169.7 | ✓ | 60 | ||
185.169 | even | 18 | inner | 370.2.v.b.169.4 | yes | 60 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
370.2.v.a.169.7 | ✓ | 60 | 37.21 | even | 18 | ||
370.2.v.a.289.7 | yes | 60 | 5.4 | even | 2 | ||
370.2.v.b.169.4 | yes | 60 | 185.169 | even | 18 | inner | |
370.2.v.b.289.4 | yes | 60 | 1.1 | even | 1 | trivial |