Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,3,Mod(23,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 10, 11]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.23");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.u (of order \(20\), degree \(8\), 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: | \(8.17440793081\) |
Analytic rank: | \(0\) |
Dimension: | \(928\) |
Relative dimension: | \(116\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 287.50 | ||
Character | \(\chi\) | \(=\) | 300.287 |
Dual form | 300.3.u.a.23.50 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{9}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.436153 | + | 1.95186i | −0.218076 | + | 0.975932i | ||||
\(3\) | −1.34543 | + | 2.68139i | −0.448475 | + | 0.893795i | ||||
\(4\) | −3.61954 | − | 1.70262i | −0.904885 | − | 0.425655i | ||||
\(5\) | 4.99966 | + | 0.0579557i | 0.999933 | + | 0.0115911i | ||||
\(6\) | −4.64689 | − | 3.79558i | −0.774481 | − | 0.632597i | ||||
\(7\) | 1.78118 | − | 1.78118i | 0.254455 | − | 0.254455i | −0.568339 | − | 0.822794i | \(-0.692414\pi\) |
0.822794 | + | 0.568339i | \(0.192414\pi\) | |||||||
\(8\) | 4.90196 | − | 6.32225i | 0.612745 | − | 0.790281i | ||||
\(9\) | −5.37966 | − | 7.21521i | −0.597740 | − | 0.801690i | ||||
\(10\) | −2.29374 | + | 9.73338i | −0.229374 | + | 0.973338i | ||||
\(11\) | −15.7360 | − | 11.4328i | −1.43054 | − | 1.03935i | −0.989916 | − | 0.141659i | \(-0.954756\pi\) |
−0.440626 | − | 0.897691i | \(-0.645244\pi\) | |||||||
\(12\) | 9.43521 | − | 7.41464i | 0.786267 | − | 0.617886i | ||||
\(13\) | 2.86227 | − | 18.0717i | 0.220175 | − | 1.39013i | −0.591634 | − | 0.806206i | \(-0.701517\pi\) |
0.811809 | − | 0.583923i | \(-0.198483\pi\) | |||||||
\(14\) | 2.69976 | + | 4.25350i | 0.192840 | + | 0.303821i | ||||
\(15\) | −6.88208 | + | 13.3281i | −0.458805 | + | 0.888537i | ||||
\(16\) | 10.2022 | + | 12.3254i | 0.637635 | + | 0.770339i | ||||
\(17\) | −11.7849 | − | 23.1291i | −0.693228 | − | 1.36054i | −0.922051 | − | 0.387068i | \(-0.873488\pi\) |
0.228823 | − | 0.973468i | \(-0.426512\pi\) | |||||||
\(18\) | 16.4295 | − | 7.35343i | 0.912748 | − | 0.408524i | ||||
\(19\) | 0.167549 | − | 0.515662i | 0.00881835 | − | 0.0271401i | −0.946551 | − | 0.322556i | \(-0.895458\pi\) |
0.955369 | + | 0.295415i | \(0.0954581\pi\) | |||||||
\(20\) | −17.9978 | − | 8.72231i | −0.899891 | − | 0.436115i | ||||
\(21\) | 2.37959 | + | 7.17249i | 0.113314 | + | 0.341547i | ||||
\(22\) | 29.1786 | − | 25.7280i | 1.32630 | − | 1.16945i | ||||
\(23\) | −29.5365 | + | 4.67813i | −1.28420 | + | 0.203397i | −0.760965 | − | 0.648793i | \(-0.775274\pi\) |
−0.523232 | + | 0.852190i | \(0.675274\pi\) | |||||||
\(24\) | 10.3572 | + | 21.6502i | 0.431549 | + | 0.902090i | ||||
\(25\) | 24.9933 | + | 0.579518i | 0.999731 | + | 0.0231807i | ||||
\(26\) | 34.0251 | + | 13.4688i | 1.30866 | + | 0.518030i | ||||
\(27\) | 26.5847 | − | 4.71741i | 0.984618 | − | 0.174719i | ||||
\(28\) | −9.47975 | + | 3.41439i | −0.338563 | + | 0.121942i | ||||
\(29\) | 5.62880 | + | 17.3237i | 0.194096 | + | 0.597367i | 0.999986 | + | 0.00530139i | \(0.00168749\pi\) |
−0.805890 | + | 0.592066i | \(0.798313\pi\) | |||||||
\(30\) | −23.0129 | − | 19.2459i | −0.767097 | − | 0.641531i | ||||
\(31\) | 3.32368 | + | 1.07993i | 0.107215 | + | 0.0348364i | 0.362133 | − | 0.932126i | \(-0.382048\pi\) |
−0.254918 | + | 0.966963i | \(0.582048\pi\) | |||||||
\(32\) | −28.5072 | + | 14.5375i | −0.890851 | + | 0.454296i | ||||
\(33\) | 51.8274 | − | 26.8121i | 1.57053 | − | 0.812489i | ||||
\(34\) | 50.2849 | − | 12.9146i | 1.47897 | − | 0.379842i | ||||
\(35\) | 9.00855 | − | 8.80209i | 0.257387 | − | 0.251488i | ||||
\(36\) | 7.18713 | + | 35.2753i | 0.199643 | + | 0.979869i | ||||
\(37\) | −18.7706 | − | 2.97297i | −0.507314 | − | 0.0803506i | −0.102469 | − | 0.994736i | \(-0.532674\pi\) |
−0.404845 | + | 0.914386i | \(0.632674\pi\) | |||||||
\(38\) | 0.933425 | + | 0.551939i | 0.0245638 | + | 0.0145247i | ||||
\(39\) | 44.6062 | + | 31.9890i | 1.14375 | + | 0.820230i | ||||
\(40\) | 24.8746 | − | 31.3250i | 0.621864 | − | 0.783125i | ||||
\(41\) | −20.9568 | − | 28.8446i | −0.511142 | − | 0.703527i | 0.472969 | − | 0.881079i | \(-0.343182\pi\) |
−0.984111 | + | 0.177552i | \(0.943182\pi\) | |||||||
\(42\) | −15.0376 | + | 1.51633i | −0.358038 | + | 0.0361032i | ||||
\(43\) | 29.1726 | + | 29.1726i | 0.678432 | + | 0.678432i | 0.959645 | − | 0.281213i | \(-0.0907368\pi\) |
−0.281213 | + | 0.959645i | \(0.590737\pi\) | |||||||
\(44\) | 37.4912 | + | 68.1740i | 0.852072 | + | 1.54941i | ||||
\(45\) | −26.4783 | − | 36.3854i | −0.588407 | − | 0.808565i | ||||
\(46\) | 3.75138 | − | 59.6917i | 0.0815517 | − | 1.29764i | ||||
\(47\) | −3.20296 | + | 6.28616i | −0.0681481 | + | 0.133748i | −0.922567 | − | 0.385836i | \(-0.873913\pi\) |
0.854419 | + | 0.519584i | \(0.173913\pi\) | |||||||
\(48\) | −46.7754 | + | 10.7730i | −0.974489 | + | 0.224437i | ||||
\(49\) | 42.6548i | 0.870505i | ||||||||
\(50\) | −12.0320 | + | 48.5307i | −0.240641 | + | 0.970614i | ||||
\(51\) | 77.8738 | − | 0.481287i | 1.52694 | − | 0.00943700i | ||||
\(52\) | −41.1293 | + | 60.5378i | −0.790949 | + | 1.16419i | ||||
\(53\) | −11.8240 | + | 23.2059i | −0.223095 | + | 0.437848i | −0.975240 | − | 0.221149i | \(-0.929019\pi\) |
0.752145 | + | 0.658997i | \(0.229019\pi\) | |||||||
\(54\) | −2.38724 | + | 53.9472i | −0.0442081 | + | 0.999022i | ||||
\(55\) | −78.0119 | − | 58.0724i | −1.41840 | − | 1.05586i | ||||
\(56\) | −2.52980 | − | 19.9924i | −0.0451750 | − | 0.357007i | ||||
\(57\) | 1.15726 | + | 1.14305i | 0.0203029 | + | 0.0200535i | ||||
\(58\) | −36.2684 | + | 3.43088i | −0.625318 | + | 0.0591531i | ||||
\(59\) | 12.6896 | + | 17.4657i | 0.215077 | + | 0.296028i | 0.902900 | − | 0.429850i | \(-0.141434\pi\) |
−0.687823 | + | 0.725878i | \(0.741434\pi\) | |||||||
\(60\) | 47.6026 | − | 36.5239i | 0.793377 | − | 0.608731i | ||||
\(61\) | −41.4727 | − | 30.1317i | −0.679880 | − | 0.493962i | 0.193438 | − | 0.981112i | \(-0.438036\pi\) |
−0.873318 | + | 0.487151i | \(0.838036\pi\) | |||||||
\(62\) | −3.55750 | + | 6.01635i | −0.0573791 | + | 0.0970379i | ||||
\(63\) | −22.4338 | − | 3.26945i | −0.356092 | − | 0.0518961i | ||||
\(64\) | −15.9416 | − | 61.9828i | −0.249088 | − | 0.968481i | ||||
\(65\) | 15.3578 | − | 90.1864i | 0.236273 | − | 1.38748i | ||||
\(66\) | 29.7290 | + | 112.854i | 0.450439 | + | 1.70991i | ||||
\(67\) | −51.0657 | − | 100.222i | −0.762174 | − | 1.49585i | −0.865339 | − | 0.501186i | \(-0.832897\pi\) |
0.103165 | − | 0.994664i | \(-0.467103\pi\) | |||||||
\(68\) | 3.27571 | + | 103.782i | 0.0481722 | + | 1.52621i | ||||
\(69\) | 27.1953 | − | 85.4929i | 0.394135 | − | 1.23903i | ||||
\(70\) | 13.2514 | + | 21.4225i | 0.189305 | + | 0.306036i | ||||
\(71\) | −15.3678 | − | 47.2971i | −0.216447 | − | 0.666156i | −0.999048 | − | 0.0436317i | \(-0.986107\pi\) |
0.782600 | − | 0.622524i | \(-0.213893\pi\) | |||||||
\(72\) | −71.9872 | − | 1.35711i | −0.999822 | − | 0.0188488i | ||||
\(73\) | 77.0721 | − | 12.2070i | 1.05578 | − | 0.167220i | 0.395675 | − | 0.918391i | \(-0.370511\pi\) |
0.660108 | + | 0.751171i | \(0.270511\pi\) | |||||||
\(74\) | 13.9897 | − | 35.3410i | 0.189050 | − | 0.477581i | ||||
\(75\) | −35.1805 | + | 66.2369i | −0.469074 | + | 0.883159i | ||||
\(76\) | −1.48443 | + | 1.58119i | −0.0195319 | + | 0.0208051i | ||||
\(77\) | −48.3926 | + | 7.66464i | −0.628476 | + | 0.0995408i | ||||
\(78\) | −81.8932 | + | 73.1131i | −1.04991 | + | 0.937347i | ||||
\(79\) | 24.9824 | + | 76.8881i | 0.316233 | + | 0.973267i | 0.975244 | + | 0.221133i | \(0.0709754\pi\) |
−0.659010 | + | 0.752134i | \(0.729025\pi\) | |||||||
\(80\) | 50.2930 | + | 62.2142i | 0.628663 | + | 0.777678i | ||||
\(81\) | −23.1185 | + | 77.6308i | −0.285414 | + | 0.958404i | ||||
\(82\) | 65.4411 | − | 28.3242i | 0.798062 | − | 0.345417i | ||||
\(83\) | −33.2375 | − | 65.2323i | −0.400452 | − | 0.785931i | 0.599443 | − | 0.800417i | \(-0.295389\pi\) |
−0.999895 | + | 0.0144860i | \(0.995389\pi\) | |||||||
\(84\) | 3.59901 | − | 30.0127i | 0.0428454 | − | 0.357294i | ||||
\(85\) | −57.5800 | − | 116.321i | −0.677411 | − | 1.36848i | ||||
\(86\) | −69.6646 | + | 44.2172i | −0.810053 | + | 0.514153i | ||||
\(87\) | −54.0245 | − | 8.21471i | −0.620971 | − | 0.0944220i | ||||
\(88\) | −149.418 | + | 43.4433i | −1.69794 | + | 0.493674i | ||||
\(89\) | 57.7603 | + | 41.9653i | 0.648992 | + | 0.471520i | 0.862928 | − | 0.505328i | \(-0.168628\pi\) |
−0.213936 | + | 0.976848i | \(0.568628\pi\) | |||||||
\(90\) | 82.5679 | − | 35.8125i | 0.917422 | − | 0.397916i | ||||
\(91\) | −27.0908 | − | 37.2872i | −0.297701 | − | 0.409750i | ||||
\(92\) | 114.874 | + | 33.3569i | 1.24863 | + | 0.362575i | ||||
\(93\) | −7.36746 | + | 7.45909i | −0.0792200 | + | 0.0802053i | ||||
\(94\) | −10.8727 | − | 8.99347i | −0.115668 | − | 0.0956752i | ||||
\(95\) | 0.867573 | − | 2.56843i | 0.00913234 | − | 0.0270361i | ||||
\(96\) | −0.626174 | − | 95.9980i | −0.00652265 | − | 0.999979i | ||||
\(97\) | 51.6813 | − | 101.430i | 0.532797 | − | 1.04567i | −0.455082 | − | 0.890449i | \(-0.650390\pi\) |
0.987879 | − | 0.155223i | \(-0.0496098\pi\) | |||||||
\(98\) | −83.2563 | − | 18.6040i | −0.849554 | − | 0.189837i | ||||
\(99\) | 2.16374 | + | 175.043i | 0.0218559 | + | 1.76811i | ||||
\(100\) | −89.4775 | − | 44.6517i | −0.894775 | − | 0.446517i | ||||
\(101\) | − | 77.2718i | − | 0.765067i | −0.923942 | − | 0.382534i | \(-0.875052\pi\) | ||
0.923942 | − | 0.382534i | \(-0.124948\pi\) | |||||||
\(102\) | −33.0255 | + | 152.209i | −0.323779 | + | 1.49224i | ||||
\(103\) | −0.192623 | + | 0.378044i | −0.00187013 | + | 0.00367033i | −0.891940 | − | 0.452154i | \(-0.850656\pi\) |
0.890070 | + | 0.455825i | \(0.150656\pi\) | |||||||
\(104\) | −100.223 | − | 106.683i | −0.963682 | − | 1.02579i | ||||
\(105\) | 11.4815 | + | 35.9980i | 0.109347 | + | 0.342838i | ||||
\(106\) | −40.1378 | − | 33.2002i | −0.378658 | − | 0.313210i | ||||
\(107\) | −112.985 | − | 112.985i | −1.05593 | − | 1.05593i | −0.998340 | − | 0.0575940i | \(-0.981657\pi\) |
−0.0575940 | − | 0.998340i | \(-0.518343\pi\) | |||||||
\(108\) | −104.256 | − | 28.1888i | −0.965337 | − | 0.261007i | ||||
\(109\) | 91.2425 | + | 125.585i | 0.837087 | + | 1.15215i | 0.986562 | + | 0.163387i | \(0.0522418\pi\) |
−0.149475 | + | 0.988766i | \(0.547758\pi\) | |||||||
\(110\) | 147.374 | − | 126.940i | 1.33977 | − | 1.15400i | ||||
\(111\) | 33.2262 | − | 46.3314i | 0.299335 | − | 0.417400i | ||||
\(112\) | 40.1258 | + | 3.78191i | 0.358266 | + | 0.0337671i | ||||
\(113\) | −63.2920 | − | 10.0245i | −0.560106 | − | 0.0887121i | −0.130039 | − | 0.991509i | \(-0.541510\pi\) |
−0.430067 | + | 0.902797i | \(0.641510\pi\) | |||||||
\(114\) | −2.73582 | + | 1.76028i | −0.0239984 | + | 0.0154410i | ||||
\(115\) | −147.944 | + | 21.6773i | −1.28647 | + | 0.188498i | ||||
\(116\) | 9.12196 | − | 72.2874i | 0.0786376 | − | 0.623167i | ||||
\(117\) | −145.789 | + | 76.5676i | −1.24606 | + | 0.654424i | ||||
\(118\) | −39.6252 | + | 17.1506i | −0.335807 | + | 0.145344i | ||||
\(119\) | −62.1883 | − | 20.2062i | −0.522590 | − | 0.169800i | ||||
\(120\) | 50.5276 | + | 108.844i | 0.421063 | + | 0.907031i | ||||
\(121\) | 79.5195 | + | 244.736i | 0.657186 | + | 2.02261i | ||||
\(122\) | 76.9013 | − | 67.8070i | 0.630338 | − | 0.555795i | ||||
\(123\) | 105.539 | − | 17.3851i | 0.858044 | − | 0.141342i | ||||
\(124\) | −10.1915 | − | 9.56780i | −0.0821893 | − | 0.0771597i | ||||
\(125\) | 124.924 | + | 4.34590i | 0.999395 | + | 0.0347672i | ||||
\(126\) | 16.1661 | − | 42.3617i | 0.128302 | − | 0.336204i | ||||
\(127\) | 209.393 | − | 33.1647i | 1.64877 | − | 0.261139i | 0.738225 | − | 0.674555i | \(-0.235664\pi\) |
0.910542 | + | 0.413416i | \(0.135664\pi\) | |||||||
\(128\) | 127.935 | − | 4.08191i | 0.999491 | − | 0.0318899i | ||||
\(129\) | −117.472 | + | 38.9734i | −0.910639 | + | 0.302119i | ||||
\(130\) | 169.333 | + | 69.3113i | 1.30256 | + | 0.533164i | ||||
\(131\) | 6.33156 | − | 19.4865i | 0.0483325 | − | 0.148752i | −0.923978 | − | 0.382447i | \(-0.875082\pi\) |
0.972310 | + | 0.233694i | \(0.0750816\pi\) | |||||||
\(132\) | −233.242 | + | 8.80516i | −1.76699 | + | 0.0667057i | ||||
\(133\) | −0.620053 | − | 1.21692i | −0.00466206 | − | 0.00914980i | ||||
\(134\) | 217.892 | − | 55.9611i | 1.62606 | − | 0.417620i | ||||
\(135\) | 133.188 | − | 22.0448i | 0.986577 | − | 0.163294i | ||||
\(136\) | −203.997 | − | 38.8711i | −1.49998 | − | 0.285817i | ||||
\(137\) | −31.9811 | + | 201.921i | −0.233439 | + | 1.47388i | 0.540890 | + | 0.841093i | \(0.318087\pi\) |
−0.774329 | + | 0.632783i | \(0.781913\pi\) | |||||||
\(138\) | 155.009 | + | 90.3696i | 1.12325 | + | 0.654852i | ||||
\(139\) | −40.5719 | − | 29.4772i | −0.291884 | − | 0.212066i | 0.432200 | − | 0.901778i | \(-0.357737\pi\) |
−0.724084 | + | 0.689712i | \(0.757737\pi\) | |||||||
\(140\) | −47.5935 | + | 16.5214i | −0.339953 | + | 0.118010i | ||||
\(141\) | −12.5463 | − | 17.0459i | −0.0889807 | − | 0.120893i | ||||
\(142\) | 99.0201 | − | 9.36700i | 0.697325 | − | 0.0659648i | ||||
\(143\) | −251.651 | + | 251.651i | −1.75980 | + | 1.75980i | ||||
\(144\) | 34.0463 | − | 139.917i | 0.236433 | − | 0.971648i | ||||
\(145\) | 27.1381 | + | 86.9387i | 0.187159 | + | 0.599577i | ||||
\(146\) | −9.78878 | + | 155.758i | −0.0670464 | + | 1.06684i | ||||
\(147\) | −114.374 | − | 57.3888i | −0.778054 | − | 0.390400i | ||||
\(148\) | 62.8792 | + | 42.7201i | 0.424859 | + | 0.288649i | ||||
\(149\) | 32.2631 | 0.216531 | 0.108265 | − | 0.994122i | \(-0.465470\pi\) | ||||
0.108265 | + | 0.994122i | \(0.465470\pi\) | |||||||
\(150\) | −113.941 | − | 97.5570i | −0.759609 | − | 0.650380i | ||||
\(151\) | 46.3256i | 0.306792i | 0.988165 | + | 0.153396i | \(0.0490210\pi\) | ||||
−0.988165 | + | 0.153396i | \(0.950979\pi\) | |||||||
\(152\) | −2.43882 | − | 3.58704i | −0.0160449 | − | 0.0235989i | ||||
\(153\) | −103.483 | + | 209.457i | −0.676358 | + | 1.36900i | ||||
\(154\) | 6.14625 | − | 97.7988i | 0.0399107 | − | 0.635057i | ||||
\(155\) | 16.5547 | + | 5.59190i | 0.106804 | + | 0.0360768i | ||||
\(156\) | −106.989 | − | 191.733i | −0.685826 | − | 1.22906i | ||||
\(157\) | −188.514 | − | 188.514i | −1.20072 | − | 1.20072i | −0.973946 | − | 0.226778i | \(-0.927181\pi\) |
−0.226778 | − | 0.973946i | \(-0.572819\pi\) | |||||||
\(158\) | −160.971 | + | 15.2274i | −1.01880 | + | 0.0963758i | ||||
\(159\) | −46.3158 | − | 62.9266i | −0.291294 | − | 0.395765i | ||||
\(160\) | −143.369 | + | 71.0303i | −0.896057 | + | 0.443939i | ||||
\(161\) | −44.2774 | + | 60.9426i | −0.275015 | + | 0.378525i | ||||
\(162\) | −141.441 | − | 78.9831i | −0.873095 | − | 0.487550i | ||||
\(163\) | 79.3169 | + | 12.5626i | 0.486607 | + | 0.0770710i | 0.394917 | − | 0.918717i | \(-0.370773\pi\) |
0.0916897 | + | 0.995788i | \(0.470773\pi\) | |||||||
\(164\) | 26.7427 | + | 140.086i | 0.163065 | + | 0.854182i | ||||
\(165\) | 260.674 | − | 131.048i | 1.57984 | − | 0.794230i | ||||
\(166\) | 141.821 | − | 36.4238i | 0.854344 | − | 0.219421i | ||||
\(167\) | 165.442 | − | 84.2971i | 0.990673 | − | 0.504773i | 0.117966 | − | 0.993018i | \(-0.462362\pi\) |
0.872707 | + | 0.488244i | \(0.162362\pi\) | |||||||
\(168\) | 57.0109 | + | 20.1149i | 0.339351 | + | 0.119731i | ||||
\(169\) | −157.664 | − | 51.2283i | −0.932925 | − | 0.303126i | ||||
\(170\) | 252.156 | − | 61.6545i | 1.48327 | − | 0.362674i | ||||
\(171\) | −4.62196 | + | 1.56519i | −0.0270290 | + | 0.00915313i | ||||
\(172\) | −55.9215 | − | 155.261i | −0.325125 | − | 0.902681i | ||||
\(173\) | 34.2083 | + | 215.983i | 0.197736 | + | 1.24846i | 0.864288 | + | 0.502998i | \(0.167770\pi\) |
−0.666552 | + | 0.745459i | \(0.732230\pi\) | |||||||
\(174\) | 39.5969 | − | 101.866i | 0.227569 | − | 0.585435i | ||||
\(175\) | 45.5499 | − | 43.4854i | 0.260285 | − | 0.248488i | ||||
\(176\) | −19.6262 | − | 310.592i | −0.111513 | − | 1.76473i | ||||
\(177\) | −63.9051 | + | 10.5268i | −0.361045 | + | 0.0594736i | ||||
\(178\) | −107.103 | + | 94.4369i | −0.601701 | + | 0.530544i | ||||
\(179\) | 89.5563 | − | 29.0986i | 0.500314 | − | 0.162562i | −0.0479785 | − | 0.998848i | \(-0.515278\pi\) |
0.548293 | + | 0.836286i | \(0.315278\pi\) | |||||||
\(180\) | 33.8888 | + | 176.781i | 0.188271 | + | 0.982117i | ||||
\(181\) | 14.7247 | − | 45.3180i | 0.0813520 | − | 0.250376i | −0.902105 | − | 0.431516i | \(-0.857979\pi\) |
0.983457 | + | 0.181140i | \(0.0579789\pi\) | |||||||
\(182\) | 84.5953 | − | 36.6145i | 0.464809 | − | 0.201179i | ||||
\(183\) | 136.593 | − | 70.6643i | 0.746410 | − | 0.386144i | ||||
\(184\) | −115.211 | + | 209.669i | −0.626144 | + | 1.13951i | ||||
\(185\) | −93.6745 | − | 15.9517i | −0.506349 | − | 0.0862256i | ||||
\(186\) | −11.3458 | − | 17.6336i | −0.0609989 | − | 0.0948042i | ||||
\(187\) | −78.9853 | + | 498.694i | −0.422381 | + | 2.66681i | ||||
\(188\) | 22.2962 | − | 17.2996i | 0.118597 | − | 0.0920191i | ||||
\(189\) | 38.9496 | − | 55.7548i | 0.206083 | − | 0.294999i | ||||
\(190\) | 4.63482 | + | 2.81361i | 0.0243938 | + | 0.0148085i | ||||
\(191\) | 9.86607 | − | 7.16812i | 0.0516548 | − | 0.0375294i | −0.561658 | − | 0.827369i | \(-0.689836\pi\) |
0.613313 | + | 0.789840i | \(0.289836\pi\) | |||||||
\(192\) | 187.648 | + | 40.6476i | 0.977333 | + | 0.211706i | ||||
\(193\) | 250.196 | − | 250.196i | 1.29635 | − | 1.29635i | 0.365571 | − | 0.930784i | \(-0.380874\pi\) |
0.930784 | − | 0.365571i | \(-0.119126\pi\) | |||||||
\(194\) | 175.437 | + | 145.114i | 0.904315 | + | 0.748010i | ||||
\(195\) | 221.162 | + | 162.519i | 1.13416 | + | 0.833432i | ||||
\(196\) | 72.6249 | − | 154.391i | 0.370535 | − | 0.787708i | ||||
\(197\) | 90.3942 | + | 46.0581i | 0.458854 | + | 0.233798i | 0.668109 | − | 0.744063i | \(-0.267104\pi\) |
−0.209255 | + | 0.977861i | \(0.567104\pi\) | |||||||
\(198\) | −342.604 | − | 72.1222i | −1.73032 | − | 0.364254i | ||||
\(199\) | 91.9180 | 0.461900 | 0.230950 | − | 0.972966i | \(-0.425817\pi\) | ||||
0.230950 | + | 0.972966i | \(0.425817\pi\) | |||||||
\(200\) | 126.180 | − | 155.173i | 0.630899 | − | 0.775865i | ||||
\(201\) | 337.439 | − | 2.08549i | 1.67880 | − | 0.0103756i | ||||
\(202\) | 150.824 | + | 33.7023i | 0.746653 | + | 0.166843i | ||||
\(203\) | 40.8825 | + | 20.8307i | 0.201392 | + | 0.102614i | ||||
\(204\) | −282.687 | − | 130.848i | −1.38572 | − | 0.641409i | ||||
\(205\) | −103.105 | − | 145.428i | −0.502953 | − | 0.709404i | ||||
\(206\) | −0.653878 | − | 0.540859i | −0.00317416 | − | 0.00262553i | ||||
\(207\) | 192.650 | + | 187.946i | 0.930677 | + | 0.907950i | ||||
\(208\) | 251.942 | − | 149.091i | 1.21126 | − | 0.716786i | ||||
\(209\) | −8.53202 | + | 6.19888i | −0.0408231 | + | 0.0296597i | ||||
\(210\) | −75.2708 | + | 6.70965i | −0.358432 | + | 0.0319507i | ||||
\(211\) | 141.599 | − | 194.894i | 0.671085 | − | 0.923670i | −0.328699 | − | 0.944435i | \(-0.606610\pi\) |
0.999784 | + | 0.0207649i | \(0.00661013\pi\) | |||||||
\(212\) | 82.3085 | − | 63.8631i | 0.388248 | − | 0.301241i | ||||
\(213\) | 147.498 | + | 22.4278i | 0.692478 | + | 0.105295i | ||||
\(214\) | 269.810 | − | 171.252i | 1.26079 | − | 0.800245i | ||||
\(215\) | 144.162 | + | 147.544i | 0.670523 | + | 0.686250i | ||||
\(216\) | 100.492 | − | 191.200i | 0.465243 | − | 0.885183i | ||||
\(217\) | 7.84363 | − | 3.99653i | 0.0361457 | − | 0.0184172i | ||||
\(218\) | −284.920 | + | 123.319i | −1.30697 | + | 0.565683i | ||||
\(219\) | −70.9631 | + | 223.084i | −0.324032 | + | 1.01865i | ||||
\(220\) | 183.492 | + | 343.020i | 0.834055 | + | 1.55918i | ||||
\(221\) | −451.714 | + | 146.771i | −2.04395 | + | 0.664121i | ||||
\(222\) | 75.9408 | + | 85.0605i | 0.342076 | + | 0.383155i | ||||
\(223\) | −45.9513 | − | 290.125i | −0.206060 | − | 1.30101i | −0.846247 | − | 0.532790i | \(-0.821144\pi\) |
0.640188 | − | 0.768218i | \(-0.278856\pi\) | |||||||
\(224\) | −24.8827 | + | 76.6705i | −0.111084 | + | 0.342279i | ||||
\(225\) | −130.274 | − | 183.449i | −0.578996 | − | 0.815331i | ||||
\(226\) | 47.1714 | − | 119.165i | 0.208723 | − | 0.527279i | ||||
\(227\) | −52.0586 | − | 328.685i | −0.229333 | − | 1.44795i | −0.786520 | − | 0.617565i | \(-0.788119\pi\) |
0.557187 | − | 0.830387i | \(-0.311881\pi\) | |||||||
\(228\) | −2.24259 | − | 6.10769i | −0.00983591 | − | 0.0267881i | ||||
\(229\) | −313.219 | + | 101.771i | −1.36777 | + | 0.444415i | −0.898629 | − | 0.438709i | \(-0.855436\pi\) |
−0.469139 | + | 0.883124i | \(0.655436\pi\) | |||||||
\(230\) | 22.2151 | − | 298.221i | 0.0965874 | − | 1.29661i | ||||
\(231\) | 44.5568 | − | 140.072i | 0.192887 | − | 0.606370i | ||||
\(232\) | 137.117 | + | 49.3332i | 0.591020 | + | 0.212643i | ||||
\(233\) | 173.223 | − | 88.2616i | 0.743447 | − | 0.378805i | −0.0408706 | − | 0.999164i | \(-0.513013\pi\) |
0.784318 | + | 0.620359i | \(0.213013\pi\) | |||||||
\(234\) | −85.8632 | − | 317.955i | −0.366937 | − | 1.35878i | ||||
\(235\) | −16.3780 | + | 31.2431i | −0.0696938 | + | 0.132949i | ||||
\(236\) | −16.1929 | − | 84.8232i | −0.0686141 | − | 0.359420i | ||||
\(237\) | −239.779 | − | 36.4596i | −1.01172 | − | 0.153838i | ||||
\(238\) | 66.5633 | − | 112.570i | 0.279678 | − | 0.472983i | ||||
\(239\) | 55.2791 | − | 76.0852i | 0.231293 | − | 0.318348i | −0.677557 | − | 0.735470i | \(-0.736961\pi\) |
0.908850 | + | 0.417122i | \(0.136961\pi\) | |||||||
\(240\) | −234.486 | + | 51.1505i | −0.977025 | + | 0.213127i | ||||
\(241\) | −117.749 | + | 85.5496i | −0.488585 | + | 0.354978i | −0.804640 | − | 0.593763i | \(-0.797642\pi\) |
0.316055 | + | 0.948741i | \(0.397642\pi\) | |||||||
\(242\) | −512.373 | + | 48.4690i | −2.11725 | + | 0.200285i | ||||
\(243\) | −177.054 | − | 166.436i | −0.728616 | − | 0.684922i | ||||
\(244\) | 98.8092 | + | 179.675i | 0.404956 | + | 0.736373i | ||||
\(245\) | −2.47209 | + | 213.260i | −0.0100902 | + | 0.870447i | ||||
\(246\) | −12.0980 | + | 213.581i | −0.0491788 | + | 0.868215i | ||||
\(247\) | −8.83930 | − | 4.50385i | −0.0357867 | − | 0.0182342i | ||||
\(248\) | 23.1201 | − | 15.7193i | 0.0932261 | − | 0.0633844i | ||||
\(249\) | 219.632 | − | 1.35740i | 0.882055 | − | 0.00545140i | ||||
\(250\) | −62.9687 | + | 241.940i | −0.251875 | + | 0.967760i | ||||
\(251\) | −43.2841 | −0.172447 | −0.0862233 | − | 0.996276i | \(-0.527480\pi\) | ||||
−0.0862233 | + | 0.996276i | \(0.527480\pi\) | |||||||
\(252\) | 75.6334 | + | 50.0302i | 0.300132 | + | 0.198532i | ||||
\(253\) | 518.270 | + | 264.072i | 2.04850 | + | 1.04376i | ||||
\(254\) | −26.5946 | + | 423.172i | −0.104703 | + | 1.66603i | ||||
\(255\) | 389.371 | + | 2.10696i | 1.52694 | + | 0.00826258i | ||||
\(256\) | −47.8318 | + | 251.492i | −0.186843 | + | 0.982390i | ||||
\(257\) | 92.4245 | − | 92.4245i | 0.359629 | − | 0.359629i | −0.504047 | − | 0.863676i | \(-0.668156\pi\) |
0.863676 | + | 0.504047i | \(0.168156\pi\) | |||||||
\(258\) | −24.8348 | − | 246.289i | −0.0962590 | − | 0.954607i | ||||
\(259\) | −38.7293 | + | 28.1385i | −0.149534 | + | 0.108643i | ||||
\(260\) | −209.141 | + | 300.285i | −0.804390 | + | 1.15494i | ||||
\(261\) | 94.7128 | − | 133.808i | 0.362884 | − | 0.512675i | ||||
\(262\) | 35.2735 | + | 20.8575i | 0.134632 | + | 0.0796086i | ||||
\(263\) | 41.3660 | − | 261.175i | 0.157285 | − | 0.993059i | −0.775165 | − | 0.631759i | \(-0.782333\pi\) |
0.932450 | − | 0.361300i | \(-0.117667\pi\) | |||||||
\(264\) | 84.5429 | − | 459.098i | 0.320238 | − | 1.73901i | ||||
\(265\) | −60.4610 | + | 115.337i | −0.228155 | + | 0.435233i | ||||
\(266\) | 2.64571 | − | 0.679495i | 0.00994627 | − | 0.00255449i | ||||
\(267\) | −190.237 | + | 98.4164i | −0.712499 | + | 0.368601i | ||||
\(268\) | 14.1941 | + | 449.703i | 0.0529632 | + | 1.67800i | ||||
\(269\) | −84.4775 | + | 259.995i | −0.314043 | + | 0.966525i | 0.662104 | + | 0.749412i | \(0.269664\pi\) |
−0.976147 | + | 0.217112i | \(0.930336\pi\) | |||||||
\(270\) | −15.0619 | + | 269.580i | −0.0557850 | + | 0.998443i | ||||
\(271\) | 96.6971 | − | 31.4188i | 0.356816 | − | 0.115937i | −0.125123 | − | 0.992141i | \(-0.539933\pi\) |
0.481939 | + | 0.876205i | \(0.339933\pi\) | |||||||
\(272\) | 164.845 | − | 381.221i | 0.606047 | − | 1.40155i | ||||
\(273\) | 136.430 | − | 22.4736i | 0.499744 | − | 0.0823208i | ||||
\(274\) | −380.174 | − | 150.491i | −1.38749 | − | 0.549238i | ||||
\(275\) | −386.668 | − | 294.864i | −1.40606 | − | 1.07223i | ||||
\(276\) | −243.997 | + | 263.142i | −0.884046 | + | 0.953412i | ||||
\(277\) | 10.9147 | + | 68.9126i | 0.0394032 | + | 0.248782i | 0.999526 | − | 0.0307978i | \(-0.00980480\pi\) |
−0.960122 | + | 0.279580i | \(0.909805\pi\) | |||||||
\(278\) | 75.2310 | − | 66.3342i | 0.270615 | − | 0.238612i | ||||
\(279\) | −10.0883 | − | 29.7907i | −0.0361589 | − | 0.106777i | ||||
\(280\) | −11.4895 | − | 100.102i | −0.0410338 | − | 0.357506i | ||||
\(281\) | 154.109 | + | 50.0729i | 0.548429 | + | 0.178196i | 0.570108 | − | 0.821569i | \(-0.306901\pi\) |
−0.0216790 | + | 0.999765i | \(0.506901\pi\) | |||||||
\(282\) | 38.7434 | − | 17.0540i | 0.137388 | − | 0.0604752i | ||||
\(283\) | −10.8360 | + | 5.52122i | −0.0382898 | + | 0.0195096i | −0.473031 | − | 0.881046i | \(-0.656840\pi\) |
0.434741 | + | 0.900556i | \(0.356840\pi\) | |||||||
\(284\) | −24.9048 | + | 197.359i | −0.0876930 | + | 0.694927i | ||||
\(285\) | 5.71968 | + | 5.78192i | 0.0200691 | + | 0.0202874i | ||||
\(286\) | −381.431 | − | 600.947i | −1.33367 | − | 2.10121i | ||||
\(287\) | −88.7055 | − | 14.0496i | −0.309078 | − | 0.0489532i | ||||
\(288\) | 258.250 | + | 127.479i | 0.896702 | + | 0.442636i | ||||
\(289\) | −226.203 | + | 311.342i | −0.782709 | + | 1.07731i | ||||
\(290\) | −181.529 | + | 15.0513i | −0.625961 | + | 0.0519010i | ||||
\(291\) | 202.440 | + | 275.044i | 0.695671 | + | 0.945170i | ||||
\(292\) | −299.750 | − | 87.0408i | −1.02654 | − | 0.298085i | ||||
\(293\) | −274.315 | − | 274.315i | −0.936227 | − | 0.936227i | 0.0618575 | − | 0.998085i | \(-0.480298\pi\) |
−0.998085 | + | 0.0618575i | \(0.980298\pi\) | |||||||
\(294\) | 161.900 | − | 198.212i | 0.550679 | − | 0.674190i | ||||
\(295\) | 62.4313 | + | 88.0579i | 0.211631 | + | 0.298501i | ||||
\(296\) | −110.809 | + | 104.099i | −0.374354 | + | 0.351686i | ||||
\(297\) | −472.269 | − | 229.706i | −1.59013 | − | 0.773420i | ||||
\(298\) | −14.0716 | + | 62.9731i | −0.0472202 | + | 0.211319i | ||||
\(299\) | 547.165i | 1.82998i | ||||||||
\(300\) | 240.114 | − | 179.848i | 0.800379 | − | 0.599494i | ||||
\(301\) | 103.923 | 0.345261 | ||||||||
\(302\) | −90.4212 | − | 20.2050i | −0.299408 | − | 0.0669041i | ||||
\(303\) | 207.195 | + | 103.963i | 0.683813 | + | 0.343114i | ||||
\(304\) | 8.06511 | − | 3.19576i | 0.0265300 | − | 0.0105124i | ||||
\(305\) | −205.603 | − | 153.052i | −0.674109 | − | 0.501809i | ||||
\(306\) | −363.697 | − | 293.340i | −1.18855 | − | 0.958627i | ||||
\(307\) | −283.502 | + | 283.502i | −0.923459 | + | 0.923459i | −0.997272 | − | 0.0738130i | \(-0.976483\pi\) |
0.0738130 | + | 0.997272i | \(0.476483\pi\) | |||||||
\(308\) | 188.209 | + | 54.6519i | 0.611069 | + | 0.177441i | ||||
\(309\) | −0.754522 | − | 1.02513i | −0.00244182 | − | 0.00331756i | ||||
\(310\) | −18.1350 | + | 29.8735i | −0.0585000 | + | 0.0963662i | ||||
\(311\) | 283.732 | + | 206.144i | 0.912323 | + | 0.662841i | 0.941601 | − | 0.336730i | \(-0.109321\pi\) |
−0.0292785 | + | 0.999571i | \(0.509321\pi\) | |||||||
\(312\) | 420.900 | − | 125.203i | 1.34904 | − | 0.401291i | ||||
\(313\) | −34.6091 | + | 218.513i | −0.110572 | + | 0.698126i | 0.868664 | + | 0.495402i | \(0.164979\pi\) |
−0.979236 | + | 0.202724i | \(0.935021\pi\) | |||||||
\(314\) | 450.174 | − | 285.732i | 1.43367 | − | 0.909975i | ||||
\(315\) | −111.972 | − | 17.6463i | −0.355466 | − | 0.0560201i | ||||
\(316\) | 40.4863 | − | 320.835i | 0.128121 | − | 1.01530i | ||||
\(317\) | 55.3051 | + | 108.542i | 0.174464 | + | 0.342405i | 0.961636 | − | 0.274329i | \(-0.0884556\pi\) |
−0.787172 | + | 0.616734i | \(0.788456\pi\) | |||||||
\(318\) | 143.025 | − | 62.9564i | 0.449764 | − | 0.197976i | ||||
\(319\) | 109.484 | − | 336.957i | 0.343210 | − | 1.05629i | ||||
\(320\) | −76.1105 | − | 310.817i | −0.237845 | − | 0.971303i | ||||
\(321\) | 454.969 | − | 150.943i | 1.41735 | − | 0.470229i | ||||
\(322\) | −99.6399 | − | 113.004i | −0.309441 | − | 0.350943i | ||||
\(323\) | −13.9013 | + | 2.20176i | −0.0430382 | + | 0.00681658i | ||||
\(324\) | 215.854 | − | 241.626i | 0.666217 | − | 0.745758i | ||||
\(325\) | 82.0105 | − | 450.012i | 0.252340 | − | 1.38465i | ||||
\(326\) | −59.1147 | + | 149.337i | −0.181334 | + | 0.458088i | ||||
\(327\) | −459.501 | + | 75.6917i | −1.40520 | + | 0.231473i | ||||
\(328\) | −285.092 | − | 8.90075i | −0.869184 | − | 0.0271364i | ||||
\(329\) | 5.49175 | + | 16.9019i | 0.0166923 | + | 0.0513735i | ||||
\(330\) | 142.094 | + | 565.956i | 0.430589 | + | 1.71502i | ||||
\(331\) | −452.901 | − | 147.156i | −1.36828 | − | 0.444581i | −0.469481 | − | 0.882942i | \(-0.655559\pi\) |
−0.898799 | + | 0.438361i | \(0.855559\pi\) | |||||||
\(332\) | 9.23866 | + | 292.702i | 0.0278273 | + | 0.881632i | ||||
\(333\) | 79.5289 | + | 151.428i | 0.238826 | + | 0.454737i | ||||
\(334\) | 92.3783 | + | 359.688i | 0.276582 | + | 1.07691i | ||||
\(335\) | −249.503 | − | 504.036i | −0.744784 | − | 1.50458i | ||||
\(336\) | −64.1270 | + | 102.504i | −0.190854 | + | 0.305073i | ||||
\(337\) | −484.247 | − | 76.6971i | −1.43693 | − | 0.227588i | −0.611123 | − | 0.791536i | \(-0.709282\pi\) |
−0.825811 | + | 0.563948i | \(0.809282\pi\) | |||||||
\(338\) | 168.756 | − | 285.396i | 0.499279 | − | 0.844367i | ||||
\(339\) | 112.034 | − | 156.223i | 0.330484 | − | 0.460835i | ||||
\(340\) | 10.3627 | + | 519.065i | 0.0304785 | + | 1.52666i | ||||
\(341\) | −39.9546 | − | 54.9928i | −0.117169 | − | 0.161269i | ||||
\(342\) | −1.03915 | − | 9.70410i | −0.00303844 | − | 0.0283746i | ||||
\(343\) | 163.254 | + | 163.254i | 0.475959 | + | 0.475959i | ||||
\(344\) | 327.439 | − | 41.4335i | 0.951857 | − | 0.120446i | ||||
\(345\) | 140.922 | − | 425.860i | 0.408471 | − | 1.23438i | ||||
\(346\) | −436.489 | − | 27.4316i | −1.26153 | − | 0.0792820i | ||||
\(347\) | −257.390 | + | 505.155i | −0.741757 | + | 1.45578i | 0.142998 | + | 0.989723i | \(0.454326\pi\) |
−0.884755 | + | 0.466056i | \(0.845674\pi\) | |||||||
\(348\) | 181.557 | + | 121.717i | 0.521717 | + | 0.349761i | ||||
\(349\) | 175.079i | 0.501659i | 0.968031 | + | 0.250829i | \(0.0807033\pi\) | ||||
−0.968031 | + | 0.250829i | \(0.919297\pi\) | |||||||
\(350\) | 65.0109 | + | 107.873i | 0.185745 | + | 0.308210i | ||||
\(351\) | −9.15896 | − | 493.933i | −0.0260939 | − | 1.40722i | ||||
\(352\) | 614.793 | + | 97.1579i | 1.74657 | + | 0.276017i | ||||
\(353\) | 140.071 | − | 274.904i | 0.396801 | − | 0.778765i | −0.603020 | − | 0.797726i | \(-0.706036\pi\) |
0.999820 | + | 0.0189613i | \(0.00603592\pi\) | |||||||
\(354\) | 7.32544 | − | 129.325i | 0.0206933 | − | 0.365326i | ||||
\(355\) | −74.0925 | − | 237.360i | −0.208711 | − | 0.668620i | ||||
\(356\) | −137.615 | − | 250.239i | −0.386558 | − | 0.702918i | ||||
\(357\) | 137.850 | − | 139.565i | 0.386135 | − | 0.390938i | ||||
\(358\) | 17.7363 | + | 187.493i | 0.0495426 | + | 0.523724i | ||||
\(359\) | −194.207 | − | 267.303i | −0.540967 | − | 0.744578i | 0.447785 | − | 0.894141i | \(-0.352213\pi\) |
−0.988752 | + | 0.149564i | \(0.952213\pi\) | |||||||
\(360\) | −359.833 | − | 10.9572i | −0.999537 | − | 0.0304366i | ||||
\(361\) | 291.817 | + | 212.018i | 0.808358 | + | 0.587307i | ||||
\(362\) | 82.0323 | + | 48.5062i | 0.226609 | + | 0.133995i | ||||
\(363\) | −763.219 | − | 116.051i | −2.10253 | − | 0.319701i | ||||
\(364\) | 34.5701 | + | 181.088i | 0.0949727 | + | 0.497494i | ||||
\(365\) | 386.042 | − | 56.5643i | 1.05765 | − | 0.154971i | ||||
\(366\) | 78.3517 | + | 297.431i | 0.214076 | + | 0.812654i | ||||
\(367\) | 235.062 | + | 461.335i | 0.640496 | + | 1.25704i | 0.951796 | + | 0.306732i | \(0.0992356\pi\) |
−0.311300 | + | 0.950312i | \(0.600764\pi\) | |||||||
\(368\) | −358.996 | − | 316.323i | −0.975533 | − | 0.859574i | ||||
\(369\) | −95.3792 | + | 306.382i | −0.258480 | + | 0.830304i | ||||
\(370\) | 71.9920 | − | 175.882i | 0.194573 | − | 0.475358i | ||||
\(371\) | 20.2733 | + | 62.3948i | 0.0546450 | + | 0.168180i | ||||
\(372\) | 39.3668 | − | 14.4545i | 0.105825 | − | 0.0388562i | ||||
\(373\) | −182.156 | + | 28.8507i | −0.488354 | + | 0.0773476i | −0.395755 | − | 0.918356i | \(-0.629517\pi\) |
−0.0925982 | + | 0.995704i | \(0.529517\pi\) | |||||||
\(374\) | −938.932 | − | 371.675i | −2.51051 | − | 0.993784i | ||||
\(375\) | −179.730 | + | 329.124i | −0.479279 | + | 0.877663i | ||||
\(376\) | 24.0419 | + | 51.0644i | 0.0639412 | + | 0.135810i | ||||
\(377\) | 329.179 | − | 52.1368i | 0.873153 | − | 0.138294i | ||||
\(378\) | 91.8378 | + | 100.342i | 0.242957 | + | 0.265455i | ||||
\(379\) | −95.1706 | − | 292.905i | −0.251110 | − | 0.772836i | −0.994571 | − | 0.104057i | \(-0.966817\pi\) |
0.743462 | − | 0.668779i | \(-0.233183\pi\) | |||||||
\(380\) | −7.51327 | + | 7.81937i | −0.0197718 | + | 0.0205773i | ||||
\(381\) | −192.796 | + | 606.085i | −0.506026 | + | 1.59077i | ||||
\(382\) | 9.68808 | + | 22.3836i | 0.0253615 | + | 0.0585959i | ||||
\(383\) | −198.123 | − | 388.838i | −0.517292 | − | 1.01524i | −0.990912 | − | 0.134514i | \(-0.957053\pi\) |
0.473619 | − | 0.880730i | \(-0.342947\pi\) | |||||||
\(384\) | −161.182 | + | 348.535i | −0.419744 | + | 0.907643i | ||||
\(385\) | −242.391 | + | 35.5160i | −0.629587 | + | 0.0922494i | ||||
\(386\) | 379.225 | + | 597.473i | 0.982449 | + | 1.54786i | ||||
\(387\) | 53.5477 | − | 367.425i | 0.138366 | − | 0.949418i | ||||
\(388\) | −359.760 | + | 279.137i | −0.927216 | + | 0.719426i | ||||
\(389\) | −273.299 | − | 198.563i | −0.702568 | − | 0.510446i | 0.178200 | − | 0.983994i | \(-0.442973\pi\) |
−0.880768 | + | 0.473549i | \(0.842973\pi\) | |||||||
\(390\) | −413.676 | + | 360.795i | −1.06071 | + | 0.925114i | ||||
\(391\) | 456.285 | + | 628.023i | 1.16697 | + | 1.60620i | ||||
\(392\) | 269.674 | + | 209.092i | 0.687944 | + | 0.533398i | ||||
\(393\) | 43.7323 | + | 43.1951i | 0.111278 | + | 0.109911i | ||||
\(394\) | −129.325 | + | 156.349i | −0.328236 | + | 0.396824i | ||||
\(395\) | 120.448 | + | 385.862i | 0.304931 | + | 0.976867i | ||||
\(396\) | 290.200 | − | 637.260i | 0.732829 | − | 1.60924i | ||||
\(397\) | 109.494 | − | 214.895i | 0.275804 | − | 0.541296i | −0.711004 | − | 0.703188i | \(-0.751759\pi\) |
0.986809 | + | 0.161891i | \(0.0517594\pi\) | |||||||
\(398\) | −40.0903 | + | 179.411i | −0.100729 | + | 0.450783i | ||||
\(399\) | 4.09728 | − | 0.0253226i | 0.0102689 | − | 6.34652e-5i | ||||
\(400\) | 247.843 | + | 313.965i | 0.619607 | + | 0.784912i | ||||
\(401\) | 519.900i | 1.29651i | 0.761423 | + | 0.648255i | \(0.224501\pi\) | ||||
−0.761423 | + | 0.648255i | \(0.775499\pi\) | |||||||
\(402\) | −143.104 | + | 659.544i | −0.355981 | + | 1.64066i | ||||
\(403\) | 29.0294 | − | 56.9733i | 0.0720332 | − | 0.141373i | ||||
\(404\) | −131.565 | + | 279.688i | −0.325655 | + | 0.692298i | ||||
\(405\) | −120.084 | + | 386.788i | −0.296504 | + | 0.955032i | ||||
\(406\) | −58.4897 | + | 70.7118i | −0.144063 | + | 0.174167i | ||||
\(407\) | 261.384 | + | 261.384i | 0.642222 | + | 0.642222i | ||||
\(408\) | 378.691 | − | 494.696i | 0.928164 | − | 1.21249i | ||||
\(409\) | −28.1885 | − | 38.7982i | −0.0689206 | − | 0.0948611i | 0.773165 | − | 0.634205i | \(-0.218672\pi\) |
−0.842086 | + | 0.539344i | \(0.818672\pi\) | |||||||
\(410\) | 328.825 | − | 137.819i | 0.802012 | − | 0.336144i | ||||
\(411\) | −498.400 | − | 357.424i | −1.21265 | − | 0.869644i | ||||
\(412\) | 1.34087 | − | 1.04038i | 0.00325455 | − | 0.00252520i | ||||
\(413\) | 53.7120 | + | 8.50715i | 0.130053 | + | 0.0205984i | ||||
\(414\) | −450.869 | + | 294.054i | −1.08906 | + | 0.710275i | ||||
\(415\) | −162.396 | − | 328.066i | −0.391315 | − | 0.790520i | ||||
\(416\) | 181.121 | + | 556.784i | 0.435387 | + | 1.33842i | ||||
\(417\) | 133.626 | − | 69.1295i | 0.320446 | − | 0.165778i | ||||
\(418\) | −8.37809 | − | 19.3570i | −0.0200433 | − | 0.0463086i | ||||
\(419\) | 177.169 | + | 57.5658i | 0.422838 | + | 0.137388i | 0.512704 | − | 0.858565i | \(-0.328644\pi\) |
−0.0898658 | + | 0.995954i | \(0.528644\pi\) | |||||||
\(420\) | 19.7333 | − | 149.845i | 0.0469839 | − | 0.356773i | ||||
\(421\) | 91.8218 | + | 282.599i | 0.218104 | + | 0.671255i | 0.998919 | + | 0.0464925i | \(0.0148044\pi\) |
−0.780815 | + | 0.624763i | \(0.785196\pi\) | |||||||
\(422\) | 318.648 | + | 361.386i | 0.755091 | + | 0.856364i | ||||
\(423\) | 62.5868 | − | 10.7074i | 0.147959 | − | 0.0253130i | ||||
\(424\) | 88.7529 | + | 188.509i | 0.209323 | + | 0.444597i | ||||
\(425\) | −281.139 | − | 584.902i | −0.661503 | − | 1.37624i | ||||
\(426\) | −108.108 | + | 278.114i | −0.253774 | + | 0.652849i | ||||
\(427\) | −127.540 | + | 20.2004i | −0.298690 | + | 0.0473078i | ||||
\(428\) | 216.583 | + | 601.324i | 0.506035 | + | 1.40496i | ||||
\(429\) | −336.196 | − | 1013.35i | −0.783674 | − | 2.36213i | ||||
\(430\) | −350.862 | + | 217.034i | −0.815959 | + | 0.504729i | ||||
\(431\) | −155.802 | + | 479.509i | −0.361489 | + | 1.11255i | 0.590661 | + | 0.806920i | \(0.298867\pi\) |
−0.952150 | + | 0.305630i | \(0.901133\pi\) | |||||||
\(432\) | 329.365 | + | 279.540i | 0.762420 | + | 0.647082i | ||||
\(433\) | −250.350 | − | 491.340i | −0.578176 | − | 1.13473i | −0.976101 | − | 0.217316i | \(-0.930270\pi\) |
0.397926 | − | 0.917418i | \(-0.369730\pi\) | |||||||
\(434\) | 4.37966 | + | 17.0528i | 0.0100914 | + | 0.0392921i | ||||
\(435\) | −269.628 | − | 44.2018i | −0.619835 | − | 0.101613i | ||||
\(436\) | −116.433 | − | 609.910i | −0.267049 | − | 1.39888i | ||||
\(437\) | −2.53648 | + | 16.0147i | −0.00580429 | + | 0.0366469i | ||||
\(438\) | −404.478 | − | 235.809i | −0.923466 | − | 0.538376i | ||||
\(439\) | 332.201 | + | 241.358i | 0.756722 | + | 0.549791i | 0.897903 | − | 0.440193i | \(-0.145090\pi\) |
−0.141181 | + | 0.989984i | \(0.545090\pi\) | |||||||
\(440\) | −749.559 | + | 208.542i | −1.70354 | + | 0.473960i | ||||
\(441\) | 307.763 | − | 229.468i | 0.697876 | − | 0.520336i | ||||
\(442\) | −89.4601 | − | 945.698i | −0.202398 | − | 2.13959i | ||||
\(443\) | 11.3387 | − | 11.3387i | 0.0255953 | − | 0.0255953i | −0.694193 | − | 0.719789i | \(-0.744239\pi\) |
0.719789 | + | 0.694193i | \(0.244239\pi\) | |||||||
\(444\) | −199.148 | + | 111.127i | −0.448532 | + | 0.250285i | ||||
\(445\) | 286.350 | + | 213.160i | 0.643483 | + | 0.479011i | ||||
\(446\) | 586.326 | + | 36.8482i | 1.31463 | + | 0.0826193i | ||||
\(447\) | −43.4075 | + | 86.5097i | −0.0971086 | + | 0.193534i | ||||
\(448\) | −138.798 | − | 82.0078i | −0.309816 | − | 0.183053i | ||||
\(449\) | −213.634 | −0.475799 | −0.237899 | − | 0.971290i | \(-0.576459\pi\) | ||||
−0.237899 | + | 0.971290i | \(0.576459\pi\) | |||||||
\(450\) | 414.888 | − | 174.265i | 0.921972 | − | 0.387256i | ||||
\(451\) | 693.494i | 1.53768i | ||||||||
\(452\) | 212.020 | + | 144.046i | 0.469071 | + | 0.318686i | ||||
\(453\) | −124.217 | − | 62.3276i | −0.274209 | − | 0.137589i | ||||
\(454\) | 664.254 | + | 41.7456i | 1.46311 | + | 0.0919507i | ||||
\(455\) | −133.284 | − | 187.994i | −0.292931 | − | 0.413173i | ||||
\(456\) | 12.8995 | − | 1.71334i | 0.0282883 | − | 0.00375732i | ||||
\(457\) | 77.6258 | + | 77.6258i | 0.169860 | + | 0.169860i | 0.786918 | − | 0.617058i | \(-0.211676\pi\) |
−0.617058 | + | 0.786918i | \(0.711676\pi\) | |||||||
\(458\) | −62.0318 | − | 655.748i | −0.135441 | − | 1.43176i | ||||
\(459\) | −422.407 | − | 559.286i | −0.920277 | − | 1.21849i | ||||
\(460\) | 572.397 | + | 173.431i | 1.24434 | + | 0.377023i | ||||
\(461\) | 419.944 | − | 578.004i | 0.910942 | − | 1.25380i | −0.0559014 | − | 0.998436i | \(-0.517803\pi\) |
0.966844 | − | 0.255368i | \(-0.0821968\pi\) | |||||||
\(462\) | 253.967 | + | 148.061i | 0.549712 | + | 0.320479i | ||||
\(463\) | 165.842 | + | 26.2667i | 0.358189 | + | 0.0567316i | 0.332936 | − | 0.942949i | \(-0.391961\pi\) |
0.0252534 | + | 0.999681i | \(0.491961\pi\) | |||||||
\(464\) | −156.095 | + | 246.116i | −0.336412 | + | 0.530422i | ||||
\(465\) | −37.2671 | + | 36.8660i | −0.0801444 | + | 0.0792817i | ||||
\(466\) | 96.7229 | + | 376.604i | 0.207560 | + | 0.808162i | ||||
\(467\) | 695.074 | − | 354.158i | 1.48838 | − | 0.758368i | 0.494537 | − | 0.869156i | \(-0.335338\pi\) |
0.993844 | + | 0.110788i | \(0.0353376\pi\) | |||||||
\(468\) | 658.055 | − | 28.9160i | 1.40610 | − | 0.0617864i | ||||
\(469\) | −269.471 | − | 87.5565i | −0.574565 | − | 0.186688i | ||||
\(470\) | −53.8389 | − | 45.5944i | −0.114551 | − | 0.0970095i | ||||
\(471\) | 759.109 | − | 251.847i | 1.61170 | − | 0.534707i | ||||
\(472\) | 172.626 | + | 5.38949i | 0.365733 | + | 0.0114184i | ||||
\(473\) | −125.533 | − | 792.584i | −0.265397 | − | 1.67565i | ||||
\(474\) | 175.744 | − | 452.113i | 0.370768 | − | 0.953825i | ||||
\(475\) | 4.48643 | − | 12.7910i | 0.00944511 | − | 0.0269284i | ||||
\(476\) | 190.689 | + | 179.020i | 0.400608 | + | 0.376093i | ||||
\(477\) | 231.045 | − | 39.5273i | 0.484371 | − | 0.0828665i | ||||
\(478\) | 124.398 | + | 141.082i | 0.260246 | + | 0.295151i | ||||
\(479\) | 410.536 | − | 133.391i | 0.857070 | − | 0.278479i | 0.152665 | − | 0.988278i | \(-0.451214\pi\) |
0.704404 | + | 0.709799i | \(0.251214\pi\) | |||||||
\(480\) | 2.43297 | − | 479.994i | 0.00506869 | − | 0.999987i | ||||
\(481\) | −107.453 | + | 330.707i | −0.223396 | + | 0.687541i | ||||
\(482\) | −115.625 | − | 267.142i | −0.239885 | − | 0.554237i | ||||
\(483\) | −103.839 | − | 200.719i | −0.214987 | − | 0.415566i | ||||
\(484\) | 128.868 | − | 1021.22i | 0.266257 | − | 2.10996i | ||||
\(485\) | 264.268 | − | 504.122i | 0.544882 | − | 1.03943i | ||||
\(486\) | 402.083 | − | 272.993i | 0.827331 | − | 0.561714i | ||||
\(487\) | 54.4624 | − | 343.862i | 0.111832 | − | 0.706083i | −0.866521 | − | 0.499141i | \(-0.833649\pi\) |
0.978353 | − | 0.206942i | \(-0.0663510\pi\) | |||||||
\(488\) | −393.797 | + | 114.496i | −0.806961 | + | 0.234624i | ||||
\(489\) | −140.400 | + | 195.777i | −0.287117 | + | 0.400363i | ||||
\(490\) | −415.175 | − | 97.8389i | −0.847296 | − | 0.199671i | ||||
\(491\) | −359.326 | + | 261.066i | −0.731825 | + | 0.531702i | −0.890140 | − | 0.455686i | \(-0.849394\pi\) |
0.158315 | + | 0.987389i | \(0.449394\pi\) | |||||||
\(492\) | −411.604 | − | 116.768i | −0.836594 | − | 0.237332i | ||||
\(493\) | 334.346 | − | 334.346i | 0.678187 | − | 0.678187i | ||||
\(494\) | 12.6462 | − | 15.2887i | 0.0255996 | − | 0.0309489i | ||||
\(495\) | 0.673209 | + | 875.282i | 0.00136002 | + | 1.76825i | ||||
\(496\) | 20.5981 | + | 51.9833i | 0.0415285 | + | 0.104805i | ||||
\(497\) | −111.618 | − | 56.8720i | −0.224583 | − | 0.114431i | ||||
\(498\) | −93.1435 | + | 429.283i | −0.187035 | + | 0.862014i | ||||
\(499\) | −103.304 | −0.207021 | −0.103511 | − | 0.994628i | \(-0.533008\pi\) | ||||
−0.103511 | + | 0.994628i | \(0.533008\pi\) | |||||||
\(500\) | −444.770 | − | 228.429i | −0.889539 | − | 0.456858i | ||||
\(501\) | 3.44264 | + | 557.031i | 0.00687154 | + | 1.11184i | ||||
\(502\) | 18.8785 | − | 84.4846i | 0.0376065 | − | 0.168296i | ||||
\(503\) | 689.339 | + | 351.236i | 1.37046 | + | 0.698282i | 0.975414 | − | 0.220381i | \(-0.0707302\pi\) |
0.395042 | + | 0.918663i | \(0.370730\pi\) | |||||||
\(504\) | −130.640 | + | 125.805i | −0.259206 | + | 0.249613i | ||||
\(505\) | 4.47834 | − | 386.333i | 0.00886801 | − | 0.765016i | ||||
\(506\) | −741.477 | + | 896.417i | −1.46537 | + | 1.77157i | ||||
\(507\) | 349.488 | − | 353.835i | 0.689326 | − | 0.697900i | ||||
\(508\) | −814.375 | − | 236.477i | −1.60310 | − | 0.465506i | ||||
\(509\) | 180.821 | − | 131.374i | 0.355248 | − | 0.258103i | −0.395819 | − | 0.918328i | \(-0.629539\pi\) |
0.751067 | + | 0.660226i | \(0.229539\pi\) | |||||||
\(510\) | −173.938 | + | 759.079i | −0.341054 | + | 1.48839i | ||||
\(511\) | 115.537 | − | 159.023i | 0.226099 | − | 0.311199i | ||||
\(512\) | −470.016 | − | 203.050i | −0.917999 | − | 0.396582i | ||||
\(513\) | 2.02164 | − | 14.4991i | 0.00394082 | − | 0.0282634i | ||||
\(514\) | 140.089 | + | 220.711i | 0.272546 | + | 0.429399i | ||||
\(515\) | −0.984961 | + | 1.87893i | −0.00191255 | + | 0.00364841i | ||||
\(516\) | 491.553 | + | 58.9453i | 0.952623 | + | 0.114235i | ||||
\(517\) | 122.270 | − | 62.2999i | 0.236500 | − | 0.120503i | ||||
\(518\) | −38.0306 | − | 87.8671i | −0.0734182 | − | 0.169628i | ||||
\(519\) | −625.158 | − | 198.863i | −1.20454 | − | 0.383166i | ||||
\(520\) | −494.898 | − | 539.186i | −0.951727 | − | 1.03690i | ||||
\(521\) | 255.143 | − | 82.9009i | 0.489718 | − | 0.159119i | −0.0537409 | − | 0.998555i | \(-0.517115\pi\) |
0.543459 | + | 0.839436i | \(0.317115\pi\) | |||||||
\(522\) | 219.866 | + | 243.227i | 0.421200 | + | 0.465953i | ||||
\(523\) | −28.5321 | − | 180.145i | −0.0545547 | − | 0.344445i | −0.999835 | − | 0.0181846i | \(-0.994211\pi\) |
0.945280 | − | 0.326260i | \(-0.105789\pi\) | |||||||
\(524\) | −56.0956 | + | 59.7521i | −0.107053 | + | 0.114031i | ||||
\(525\) | 55.3172 | + | 180.643i | 0.105366 | + | 0.344082i | ||||
\(526\) | 491.735 | + | 194.653i | 0.934858 | + | 0.370062i | ||||
\(527\) | −14.1913 | − | 89.6005i | −0.0269285 | − | 0.170020i | ||||
\(528\) | 859.223 | + | 365.253i | 1.62732 | + | 0.691767i | ||||
\(529\) | 347.413 | − | 112.881i | 0.656735 | − | 0.213386i | ||||
\(530\) | −198.751 | − | 168.316i | −0.375002 | − | 0.317578i | ||||
\(531\) | 57.7530 | − | 185.517i | 0.108763 | − | 0.349373i | ||||
\(532\) | 0.172349 | + | 5.46042i | 0.000323965 | + | 0.0102639i | ||||
\(533\) | −581.255 | + | 296.164i | −1.09053 | + | 0.555655i | ||||
\(534\) | −109.123 | − | 414.242i | −0.204350 | − | 0.775733i | ||||
\(535\) | −558.339 | − | 571.435i | −1.04362 | − | 1.06810i | ||||
\(536\) | −883.950 | − | 168.434i | −1.64916 | − | 0.314243i | ||||
\(537\) | −42.4667 | + | 279.285i | −0.0790814 | + | 0.520084i | ||||
\(538\) | −470.630 | − | 278.286i | −0.874777 | − | 0.517261i | ||||
\(539\) | 487.665 | − | 671.214i | 0.904759 | − | 1.24529i | ||||
\(540\) | −519.613 | − | 146.977i | −0.962247 | − | 0.272179i | ||||
\(541\) | 647.354 | − | 470.330i | 1.19659 | − | 0.869372i | 0.202644 | − | 0.979253i | \(-0.435047\pi\) |
0.993945 | + | 0.109880i | \(0.0350467\pi\) | |||||||
\(542\) | 19.1505 | + | 202.443i | 0.0353330 | + | 0.373511i | ||||
\(543\) | 101.704 | + | 100.455i | 0.187300 | + | 0.184999i | ||||
\(544\) | 672.193 | + | 488.025i | 1.23565 | + | 0.897105i | ||||
\(545\) | 448.904 | + | 633.169i | 0.823676 | + | 1.16178i | ||||
\(546\) | −15.6390 | + | 276.095i | −0.0286428 | + | 0.505668i | ||||
\(547\) | 186.895 | + | 95.2280i | 0.341674 | + | 0.174091i | 0.616404 | − | 0.787430i | \(-0.288589\pi\) |
−0.274731 | + | 0.961521i | \(0.588589\pi\) | |||||||
\(548\) | 459.552 | − | 676.410i | 0.838599 | − | 1.23432i | ||||
\(549\) | 5.70260 | + | 461.332i | 0.0103873 | + | 0.840313i | ||||
\(550\) | 744.180 | − | 626.117i | 1.35305 | − | 1.13839i | ||||
\(551\) | 9.87624 | 0.0179242 | ||||||||
\(552\) | −407.197 | − | 591.018i | −0.737676 | − | 1.07069i | ||||
\(553\) | 181.450 | + | 92.4535i | 0.328120 | + | 0.167185i | ||||
\(554\) | −139.269 | − | 8.75246i | −0.251387 | − | 0.0157987i | ||||
\(555\) | 168.805 | − | 229.716i | 0.304153 | − | 0.413902i | ||||
\(556\) | 96.6631 | + | 175.772i | 0.173854 | + | 0.316137i | ||||
\(557\) | 740.593 | − | 740.593i | 1.32961 | − | 1.32961i | 0.423901 | − | 0.905709i | \(-0.360660\pi\) |
0.905709 | − | 0.423901i | \(-0.139340\pi\) | |||||||
\(558\) | 62.5474 | − | 6.69778i | 0.112092 | − | 0.0120032i | ||||
\(559\) | 610.697 | − | 443.698i | 1.09248 | − | 0.793734i | ||||
\(560\) | 200.396 | + | 21.2338i | 0.357850 | + | 0.0379175i | ||||
\(561\) | −1230.92 | − | 882.745i | −2.19416 | − | 1.57352i | ||||
\(562\) | −164.950 | + | 278.960i | −0.293506 | + | 0.496369i | ||||
\(563\) | −126.294 | + | 797.387i | −0.224323 | + | 1.41632i | 0.576343 | + | 0.817208i | \(0.304479\pi\) |
−0.800666 | + | 0.599111i | \(0.795521\pi\) | |||||||
\(564\) | 16.3890 | + | 83.0600i | 0.0290585 | + | 0.147270i | ||||
\(565\) | −315.858 | − | 53.7871i | −0.559040 | − | 0.0951984i | ||||
\(566\) | −6.05051 | − | 23.5585i | −0.0106900 | − | 0.0416228i | ||||
\(567\) | 97.0963 | + | 179.453i | 0.171246 | + | 0.316496i | ||||
\(568\) | −374.356 | − | 134.690i | −0.659077 | − | 0.237129i | ||||
\(569\) | −141.217 | + | 434.621i | −0.248184 | + | 0.763833i | 0.746912 | + | 0.664923i | \(0.231536\pi\) |
−0.995096 | + | 0.0989101i | \(0.968464\pi\) | |||||||
\(570\) | −13.7802 | + | 8.64224i | −0.0241758 | + | 0.0151618i | ||||
\(571\) | −868.888 | + | 282.319i | −1.52170 | + | 0.494429i | −0.946257 | − | 0.323416i | \(-0.895169\pi\) |
−0.575438 | + | 0.817845i | \(0.695169\pi\) | |||||||
\(572\) | 1339.33 | − | 482.395i | 2.34148 | − | 0.843349i | ||||
\(573\) | 5.94643 | + | 36.0989i | 0.0103777 | + | 0.0629998i | ||||
\(574\) | 66.1120 | − | 167.013i | 0.115178 | − | 0.290964i | ||||
\(575\) | −740.926 | + | 99.8048i | −1.28857 | + | 0.173574i | ||||
\(576\) | −361.458 | + | 448.468i | −0.627532 | + | 0.778591i | ||||
\(577\) | −26.5217 | − | 167.452i | −0.0459648 | − | 0.290211i | 0.953989 | − | 0.299842i | \(-0.0969341\pi\) |
−0.999954 | + | 0.00963173i | \(0.996934\pi\) | |||||||
\(578\) | −509.037 | − | 577.310i | −0.880688 | − | 0.998806i | ||||
\(579\) | 334.252 | + | 1007.49i | 0.577293 | + | 1.74006i | ||||
\(580\) | 49.7962 | − | 360.884i | 0.0858555 | − | 0.622214i | ||||
\(581\) | −175.393 | − | 56.9886i | −0.301881 | − | 0.0980871i | ||||
\(582\) | −625.144 | + | 275.174i | −1.07413 | + | 0.472808i | ||||
\(583\) | 451.372 | − | 229.986i | 0.774224 | − | 0.394487i | ||||
\(584\) | 300.628 | − | 547.107i | 0.514775 | − | 0.936828i | ||||
\(585\) | −733.334 | + | 374.363i | −1.25356 | + | 0.639937i | ||||
\(586\) | 655.068 | − | 415.782i | 1.11786 | − | 0.709525i | ||||
\(587\) | 120.881 | + | 19.1457i | 0.205930 | + | 0.0326162i | 0.258547 | − | 0.965999i | \(-0.416756\pi\) |
−0.0526169 | + | 0.998615i | \(0.516756\pi\) | |||||||
\(588\) | 316.270 | + | 402.457i | 0.537873 | + | 0.684450i | ||||
\(589\) | 1.11375 | − | 1.53295i | 0.00189092 | − | 0.00260263i | ||||
\(590\) | −199.107 | + | 83.4506i | −0.337469 | + | 0.141442i | ||||
\(591\) | −245.118 | + | 180.414i | −0.414752 | + | 0.305269i | ||||
\(592\) | −154.858 | − | 261.686i | −0.261584 | − | 0.442038i | ||||
\(593\) | −1.57968 | − | 1.57968i | −0.00266387 | − | 0.00266387i | 0.705774 | − | 0.708437i | \(-0.250600\pi\) |
−0.708437 | + | 0.705774i | \(0.750600\pi\) | |||||||
\(594\) | 654.336 | − | 821.618i | 1.10158 | − | 1.38320i | ||||
\(595\) | −309.749 | − | 104.628i | −0.520587 | − | 0.175846i | ||||
\(596\) | −116.777 | − | 54.9318i | −0.195935 | − | 0.0921674i | ||||
\(597\) | −123.669 | + | 246.468i | −0.207151 | + | 0.412844i | ||||
\(598\) | −1067.99 | − | 238.647i | −1.78594 | − | 0.399076i | ||||
\(599\) | 247.544i | 0.413262i | 0.978419 | + | 0.206631i | \(0.0662500\pi\) | ||||
−0.978419 | + | 0.206631i | \(0.933750\pi\) | |||||||
\(600\) | 246.313 | + | 547.111i | 0.410521 | + | 0.911851i | ||||
\(601\) | −369.520 | −0.614843 | −0.307421 | − | 0.951573i | \(-0.599466\pi\) | ||||
−0.307421 | + | 0.951573i | \(0.599466\pi\) | |||||||
\(602\) | −45.3265 | + | 202.844i | −0.0752932 | + | 0.336951i | ||||
\(603\) | −448.407 | + | 907.610i | −0.743627 | + | 1.50516i | ||||
\(604\) | 78.8749 | − | 167.677i | 0.130588 | − | 0.277611i | ||||
\(605\) | 383.387 | + | 1228.21i | 0.633697 | + | 2.03009i | ||||
\(606\) | −293.291 | + | 359.073i | −0.483979 | + | 0.592530i | ||||
\(607\) | 328.352 | − | 328.352i | 0.540943 | − | 0.540943i | −0.382863 | − | 0.923805i | \(-0.625062\pi\) |
0.923805 | + | 0.382863i | \(0.125062\pi\) | |||||||
\(608\) | 2.72006 | + | 17.1358i | 0.00447379 | + | 0.0281839i | ||||
\(609\) | −110.860 | + | 81.5957i | −0.182035 | + | 0.133983i | ||||
\(610\) | 388.410 | − | 334.555i | 0.636738 | − | 0.548451i | ||||
\(611\) | 104.434 | + | 75.8756i | 0.170923 | + | 0.124183i | ||||
\(612\) | 731.187 | − | 581.947i | 1.19475 | − | 0.950893i | ||||
\(613\) | 10.5074 | − | 66.3410i | 0.0171409 | − | 0.108223i | −0.977634 | − | 0.210311i | \(-0.932552\pi\) |
0.994775 | + | 0.102088i | \(0.0325523\pi\) | |||||||
\(614\) | −429.707 | − | 677.007i | −0.699848 | − | 1.10262i | ||||
\(615\) | 528.669 | − | 80.8030i | 0.859624 | − | 0.131387i | ||||
\(616\) | −188.761 | + | 343.522i | −0.306430 | + | 0.557666i | ||||
\(617\) | −156.557 | − | 307.260i | −0.253739 | − | 0.497991i | 0.728639 | − | 0.684898i | \(-0.240153\pi\) |
−0.982377 | + | 0.186908i | \(0.940153\pi\) | |||||||
\(618\) | 2.33000 | − | 1.02561i | 0.00377022 | − | 0.00165957i | ||||
\(619\) | −79.9361 | + | 246.018i | −0.129137 | + | 0.397444i | −0.994632 | − | 0.103474i | \(-0.967004\pi\) |
0.865495 | + | 0.500918i | \(0.167004\pi\) | |||||||
\(620\) | −50.3994 | − | 48.4265i | −0.0812894 | − | 0.0781072i | ||||
\(621\) | −763.151 | + | 263.703i | −1.22891 | + | 0.424642i | ||||
\(622\) | −526.115 | + | 463.897i | −0.845844 | + | 0.745815i | ||||
\(623\) | 177.630 | − | 28.1338i | 0.285120 | − | 0.0451585i | ||||
\(624\) | 60.8020 | + | 876.146i | 0.0974392 | + | 1.40408i | ||||
\(625\) | 624.328 | + | 28.9681i | 0.998925 | + | 0.0463490i | ||||
\(626\) | −411.413 | − | 162.857i | −0.657210 | − | 0.260156i | ||||
\(627\) | −5.14238 | − | 31.2178i | −0.00820156 | − | 0.0497891i | ||||
\(628\) | 361.366 | + | 1003.30i | 0.575423 | + | 1.59761i | ||||
\(629\) | 152.447 | + | 469.184i | 0.242364 | + | 0.745921i | ||||
\(630\) | 83.2801 | − | 210.857i | 0.132191 | − | 0.334694i | ||||
\(631\) | −723.320 | − | 235.021i | −1.14631 | − | 0.372458i | −0.326556 | − | 0.945178i | \(-0.605888\pi\) |
−0.819751 | + | 0.572720i | \(0.805888\pi\) | |||||||
\(632\) | 608.568 | + | 218.957i | 0.962924 | + | 0.346451i | ||||
\(633\) | 332.076 | + | 641.897i | 0.524607 | + | 1.01406i | ||||
\(634\) | −235.981 | + | 60.6070i | −0.372210 | + | 0.0955946i | ||||
\(635\) | 1048.82 | − | 153.677i | 1.65168 | − | 0.242010i | ||||
\(636\) | 60.5016 | + | 306.624i | 0.0951282 | + | 0.482113i | ||||
\(637\) | 770.843 | + | 122.090i | 1.21011 | + | 0.191663i | ||||
\(638\) | 609.943 | + | 360.663i | 0.956024 | + | 0.565302i | ||||
\(639\) | −258.585 | + | 365.324i | −0.404671 | + | 0.571712i | ||||
\(640\) | 639.868 | − | 12.9936i | 0.999794 | − | 0.0203025i | ||||
\(641\) | −325.372 | − | 447.836i | −0.507601 | − | 0.698653i | 0.475911 | − | 0.879493i | \(-0.342118\pi\) |
−0.983512 | + | 0.180840i | \(0.942118\pi\) | |||||||
\(642\) | 96.1848 | + | 953.872i | 0.149821 | + | 1.48578i | ||||
\(643\) | 507.281 | + | 507.281i | 0.788928 | + | 0.788928i | 0.981319 | − | 0.192390i | \(-0.0616239\pi\) |
−0.192390 | + | 0.981319i | \(0.561624\pi\) | |||||||
\(644\) | 264.026 | − | 145.197i | 0.409978 | − | 0.225461i | ||||
\(645\) | −589.582 | + | 188.046i | −0.914080 | + | 0.291544i | ||||
\(646\) | 1.76558 | − | 28.0938i | 0.00273310 | − | 0.0434889i | ||||
\(647\) | −221.321 | + | 434.367i | −0.342073 | + | 0.671356i | −0.996393 | − | 0.0848622i | \(-0.972955\pi\) |
0.654320 | + | 0.756218i | \(0.272955\pi\) | |||||||
\(648\) | 377.475 | + | 526.704i | 0.582523 | + | 0.812814i | ||||
\(649\) | − | 419.917i | − | 0.647021i | ||||||
\(650\) | 842.593 | + | 356.347i | 1.29630 | + | 0.548226i | ||||
\(651\) | 0.163216 | + | 26.4088i | 0.000250715 | + | 0.0405665i | ||||
\(652\) | −265.702 | − | 180.517i | −0.407518 | − | 0.276867i | ||||
\(653\) | −44.7536 | + | 87.8339i | −0.0685354 | + | 0.134508i | −0.922732 | − | 0.385441i | \(-0.874049\pi\) |
0.854197 | + | 0.519950i | \(0.174049\pi\) | |||||||
\(654\) | 52.6726 | − | 929.896i | 0.0805392 | − | 1.42186i | ||||
\(655\) | 32.7850 | − | 97.0592i | 0.0500535 | − | 0.148182i | ||||
\(656\) | 141.717 | − | 552.579i | 0.216032 | − | 0.842346i | ||||
\(657\) | −502.698 | − | 490.422i | −0.765142 | − | 0.746457i | ||||
\(658\) | −35.3854 | + | 3.34735i | −0.0537772 | + | 0.00508716i | ||||
\(659\) | 159.567 | + | 219.626i | 0.242136 | + | 0.333271i | 0.912738 | − | 0.408546i | \(-0.133964\pi\) |
−0.670602 | + | 0.741817i | \(0.733964\pi\) | |||||||
\(660\) | −1166.64 | + | 30.5051i | −1.76764 | + | 0.0462198i | ||||
\(661\) | −208.101 | − | 151.195i | −0.314828 | − | 0.228736i | 0.419137 | − | 0.907923i | \(-0.362333\pi\) |
−0.733965 | + | 0.679187i | \(0.762333\pi\) | |||||||
\(662\) | 484.763 | − | 819.818i | 0.732271 | − | 1.23840i | ||||
\(663\) | 214.198 | − | 1408.69i | 0.323074 | − | 2.12472i | ||||
\(664\) | −575.344 | − | 109.630i | −0.866481 | − | 0.165106i | ||||
\(665\) | −3.02953 | − | 6.12014i | −0.00455569 | − | 0.00920322i | ||||
\(666\) | −330.253 | + | 89.1840i | −0.495875 | + | 0.133910i | ||||
\(667\) | −247.297 | − | 485.348i | −0.370761 | − | 0.727659i | ||||
\(668\) | −742.352 | + | 23.4311i | −1.11131 | + | 0.0350765i | ||||
\(669\) | 839.761 | + | 267.128i | 1.25525 | + | 0.399295i | ||||
\(670\) | 1092.63 | − | 267.159i | 1.63079 | − | 0.398744i | ||||
\(671\) | 308.122 | + | 948.301i | 0.459198 | + | 1.41327i | ||||
\(672\) | −172.105 | − | 169.875i | −0.256109 | − | 0.252790i | ||||
\(673\) | −339.829 | + | 53.8237i | −0.504947 | + | 0.0799757i | −0.403711 | − | 0.914887i | \(-0.632280\pi\) |
−0.101236 | + | 0.994862i | \(0.532280\pi\) | |||||||
\(674\) | 360.908 | − | 911.732i | 0.535472 | − | 1.35272i | ||||
\(675\) | 667.173 | − | 102.497i | 0.988404 | − | 0.151848i | ||||
\(676\) | 483.450 | + | 453.866i | 0.715163 | + | 0.671399i | ||||
\(677\) | 166.133 | − | 26.3128i | 0.245396 | − | 0.0388668i | −0.0325249 | − | 0.999471i | \(-0.510355\pi\) |
0.277920 | + | 0.960604i | \(0.410355\pi\) | |||||||
\(678\) | 256.062 | + | 286.812i | 0.377673 | + | 0.423027i | ||||
\(679\) | −88.6121 | − | 272.720i | −0.130504 | − | 0.401649i | ||||
\(680\) | −1017.66 | − | 206.165i | −1.49656 | − | 0.303184i | ||||
\(681\) | 951.372 | + | 302.632i | 1.39702 | + | 0.444394i | ||||
\(682\) | 124.765 | − | 54.0006i | 0.182939 | − | 0.0791798i | ||||
\(683\) | 389.022 | + | 763.498i | 0.569578 | + | 1.11786i | 0.978684 | + | 0.205373i | \(0.0658408\pi\) |
−0.409106 | + | 0.912487i | \(0.634159\pi\) | |||||||
\(684\) | 19.3943 | + | 2.20420i | 0.0283542 | + | 0.00322251i | ||||
\(685\) | −171.597 | + | 1007.68i | −0.250507 | + | 1.47107i | ||||
\(686\) | −389.853 | + | 247.446i | −0.568299 | + | 0.360708i | ||||
\(687\) | 148.525 | − | 976.786i | 0.216194 | − | 1.42181i | ||||
\(688\) | −61.9409 | + | 657.187i | −0.0900303 | + | 0.955214i | ||||
\(689\) | 385.527 | + | 280.102i | 0.559545 | + | 0.406534i | ||||
\(690\) | 769.756 | + | 460.801i | 1.11559 | + | 0.667828i | ||||
\(691\) | −478.098 | − | 658.045i | −0.691892 | − | 0.952308i | −1.00000 | 0.000956463i | \(-0.999696\pi\) | |
0.308107 | − | 0.951352i | \(-0.400304\pi\) | |||||||
\(692\) | 243.919 | − | 840.003i | 0.352484 | − | 1.21388i | ||||
\(693\) | 315.638 | + | 307.930i | 0.455466 | + | 0.444343i | ||||
\(694\) | −873.733 | − | 722.714i | −1.25898 | − | 1.04137i | ||||
\(695\) | −201.137 | − | 149.727i | −0.289406 | − | 0.215435i | ||||
\(696\) | −316.761 | + | 301.288i | −0.455117 | + | 0.432885i | ||||
\(697\) | −420.177 | + | 824.643i | −0.602836 | + | 1.18313i | ||||
\(698\) | −341.730 | − | 76.3611i | −0.489584 | − | 0.109400i | ||||
\(699\) | 3.60455 | + | 583.228i | 0.00515673 | + | 0.834375i | ||||
\(700\) | −238.909 | + | 79.8431i | −0.341298 | + | 0.114062i | ||||
\(701\) | 61.4912i | 0.0877193i | 0.999038 | + | 0.0438596i | \(0.0139654\pi\) | ||||
−0.999038 | + | 0.0438596i | \(0.986035\pi\) | |||||||
\(702\) | 968.084 | + | 197.553i | 1.37904 | + | 0.281415i | ||||
\(703\) | −4.67804 | + | 9.18117i | −0.00665440 | + | 0.0130600i | ||||
\(704\) | −457.783 | + | 1157.62i | −0.650260 | + | 1.64434i | ||||
\(705\) | −61.7393 | − | 85.9511i | −0.0875734 | − | 0.121916i | ||||
\(706\) | 475.483 | + | 393.299i | 0.673489 | + | 0.557081i | ||||
\(707\) | −137.635 | − | 137.635i | −0.194675 | − | 0.194675i | ||||
\(708\) | 249.230 | + | 70.7038i | 0.352020 | + | 0.0998642i | ||||
\(709\) | −722.501 | − | 994.437i | −1.01904 | − | 1.40259i | −0.912873 | − | 0.408243i | \(-0.866142\pi\) |
−0.106169 | − | 0.994348i | \(-0.533858\pi\) | |||||||
\(710\) | 495.610 | − | 41.0931i | 0.698043 | − | 0.0578776i | ||||
\(711\) | 420.366 | − | 593.885i | 0.591233 | − | 0.835282i | ||||
\(712\) | 548.453 | − | 159.463i | 0.770299 | − | 0.223964i | ||||
\(713\) | −103.222 | − | 16.3487i | −0.144771 | − | 0.0229295i | ||||
\(714\) | 212.288 | + | 329.936i | 0.297322 | + | 0.462096i | ||||
\(715\) | −1272.76 | + | 1243.59i | −1.78008 | + | 1.73928i | ||||
\(716\) | −373.697 | − | 47.1568i | −0.521923 | − | 0.0658615i | ||||
\(717\) | 129.640 | + | 250.592i | 0.180809 | + | 0.349500i | ||||
\(718\) | 606.444 | − | 262.481i | 0.844629 | − | 0.365572i | ||||
\(719\) | −238.858 | − | 77.6098i | −0.332209 | − | 0.107941i | 0.138163 | − | 0.990410i | \(-0.455880\pi\) |
−0.470372 | + | 0.882468i | \(0.655880\pi\) | |||||||
\(720\) | 178.329 | − | 697.566i | 0.247679 | − | 0.968842i | ||||
\(721\) | 0.330269 | + | 1.01646i | 0.000458071 | + | 0.00140980i | ||||
\(722\) | −541.106 | + | 477.115i | −0.749455 | + | 0.660825i | ||||
\(723\) | −70.9691 | − | 430.831i | −0.0981591 | − | 0.595893i | ||||
\(724\) | −130.456 | + | 138.960i | −0.180188 | + | 0.191933i | ||||
\(725\) | 130.643 | + | 436.237i | 0.180197 | + | 0.601706i | ||||
\(726\) | 559.396 | − | 1439.08i | 0.770518 | − | 1.98221i | ||||
\(727\) | 113.652 | − | 18.0007i | 0.156330 | − | 0.0247603i | −0.0777788 | − | 0.996971i | \(-0.524783\pi\) |
0.234109 | + | 0.972210i | \(0.424783\pi\) | |||||||
\(728\) | −368.537 | − | 11.5059i | −0.506232 | − | 0.0158049i | ||||
\(729\) | 684.492 | − | 250.822i | 0.938946 | − | 0.344063i | ||||
\(730\) | −57.9677 | + | 778.172i | −0.0794078 | + | 1.06599i | ||||
\(731\) | 330.941 | − | 1018.53i | 0.452723 | − | 1.39334i | ||||
\(732\) | −614.719 | + | 23.2063i | −0.839779 | + | 0.0317026i | ||||
\(733\) | −625.728 | − | 1228.06i | −0.853654 | − | 1.67539i | −0.730405 | − | 0.683015i | \(-0.760668\pi\) |
−0.123249 | − | 0.992376i | \(-0.539332\pi\) | |||||||
\(734\) | −1002.99 | + | 257.596i | −1.36647 | + | 0.350949i | ||||
\(735\) | −568.505 | − | 293.553i | −0.773476 | − | 0.399392i | ||||
\(736\) | 773.997 | − | 562.747i | 1.05163 | − | 0.764601i | ||||
\(737\) | −342.255 | + | 2160.92i | −0.464390 | + | 2.93204i | ||||
\(738\) | −556.416 | − | 319.797i | −0.753951 | − | 0.433329i | ||||
\(739\) | −713.684 | − | 518.521i | −0.965742 | − | 0.701653i | −0.0112651 | − | 0.999937i | \(-0.503586\pi\) |
−0.954477 | + | 0.298284i | \(0.903586\pi\) | |||||||
\(740\) | 311.899 | + | 217.230i | 0.421485 | + | 0.293554i | ||||
\(741\) | 23.9692 | − | 17.6420i | 0.0323471 | − | 0.0238084i | ||||
\(742\) | −130.628 | + | 12.3570i | −0.176049 | + | 0.0166537i | ||||
\(743\) | 471.554 | − | 471.554i | 0.634663 | − | 0.634663i | −0.314571 | − | 0.949234i | \(-0.601861\pi\) |
0.949234 | + | 0.314571i | \(0.101861\pi\) | |||||||
\(744\) | 11.0433 | + | 83.1431i | 0.0148431 | + | 0.111751i | ||||
\(745\) | 161.304 | + | 1.86983i | 0.216516 | + | 0.00250984i | ||||
\(746\) | 23.1353 | − | 368.127i | 0.0310124 | − | 0.493467i | ||||
\(747\) | −291.858 | + | 590.743i | −0.390707 | + | 0.790821i | ||||
\(748\) | 1134.98 | − | 1670.56i | 1.51735 | − | 2.23337i | ||||
\(749\) | −402.494 | −0.537375 | ||||||||
\(750\) | −564.015 | − | 494.356i | −0.752019 | − | 0.659141i | ||||
\(751\) | 324.179i | 0.431663i | 0.976431 | + | 0.215832i | \(0.0692462\pi\) | ||||
−0.976431 | + | 0.215832i | \(0.930754\pi\) | |||||||
\(752\) | −110.157 | + | 24.6546i | −0.146485 | + | 0.0327854i | ||||
\(753\) | 58.2355 | − | 116.061i | 0.0773380 | − | 0.154132i | ||||
\(754\) | −41.8083 | + | 665.251i | −0.0554487 | + | 0.882296i | ||||
\(755\) | −2.68483 | + | 231.612i | −0.00355607 | + | 0.306771i | ||||
\(756\) | −235.909 | + | 135.490i | −0.312049 | + | 0.179220i | ||||
\(757\) | 844.680 | + | 844.680i | 1.11583 | + | 1.11583i | 0.992347 | + | 0.123479i | \(0.0394050\pi\) |
0.123479 | + | 0.992347i | \(0.460595\pi\) | |||||||
\(758\) | 613.219 | − | 58.0086i | 0.808996 | − | 0.0765286i | ||||
\(759\) | −1405.37 | + | 1034.39i | −1.85161 | + | 1.36284i | ||||
\(760\) | −11.9854 | − | 18.0753i | −0.0157703 | − | 0.0237833i | ||||
\(761\) | −359.512 | + | 494.826i | −0.472421 | + | 0.650232i | −0.977026 | − | 0.213119i | \(-0.931638\pi\) |
0.504605 | + | 0.863350i | \(0.331638\pi\) | |||||||
\(762\) | −1098.91 | − | 640.657i | −1.44214 | − | 0.840758i | ||||
\(763\) | 386.209 | + | 61.1695i | 0.506172 | + | 0.0801697i | ||||
\(764\) | −47.9152 | + | 9.14712i | −0.0627163 | + | 0.0119727i | ||||
\(765\) | −529.519 | + | 1041.22i | −0.692181 | + | 1.36107i | ||||
\(766\) | 845.371 | − | 217.116i | 1.10362 | − | 0.283441i | ||||
\(767\) | 351.955 | − | 179.330i | 0.458872 | − | 0.233807i | ||||
\(768\) | −609.992 | − | 466.619i | −0.794261 | − | 0.607577i | ||||
\(769\) | 364.650 | + | 118.482i | 0.474187 | + | 0.154073i | 0.536354 | − | 0.843993i | \(-0.319801\pi\) |
−0.0621670 | + | 0.998066i | \(0.519801\pi\) | |||||||
\(770\) | 36.3972 | − | 488.605i | 0.0472691 | − | 0.634552i | ||||
\(771\) | 123.476 | + | 372.176i | 0.160150 | + | 0.482719i | ||||
\(772\) | −1331.59 | + | 479.606i | −1.72485 | + | 0.621252i | ||||
\(773\) | 122.630 | + | 774.253i | 0.158641 | + | 1.00162i | 0.930624 | + | 0.365977i | \(0.119265\pi\) |
−0.771983 | + | 0.635644i | \(0.780735\pi\) | |||||||
\(774\) | 693.808 | + | 264.771i | 0.896393 | + | 0.342082i | ||||
\(775\) | 82.4437 | + | 28.9171i | 0.106379 | + | 0.0373123i | ||||
\(776\) | −387.928 | − | 823.949i | −0.499907 | − | 1.06179i | ||||
\(777\) | −23.3428 | − | 141.707i | −0.0300422 | − | 0.182377i | ||||
\(778\) | 506.769 | − | 446.838i | 0.651373 | − | 0.574342i | ||||
\(779\) | −18.3853 | + | 5.97376i | −0.0236012 | + | 0.00766850i | ||||
\(780\) | −523.796 | − | 964.800i | −0.671533 | − | 1.23692i | ||||
\(781\) | −298.914 | + | 919.962i | −0.382732 | + | 1.17793i | ||||
\(782\) | −1424.82 | + | 616.693i | −1.82203 | + | 0.788610i | ||||
\(783\) | 231.363 | + | 433.991i | 0.295482 | + | 0.554266i | ||||
\(784\) | −525.738 | + | 435.171i | −0.670584 | + | 0.555065i | ||||
\(785\) | −931.580 | − | 953.431i | −1.18673 | − | 1.21456i | ||||
\(786\) | −103.385 | + | 66.5198i | −0.131533 | + | 0.0846308i | ||||
\(787\) | −184.058 | + | 1162.09i | −0.233872 | + | 1.47661i | 0.539137 | + | 0.842218i | \(0.318750\pi\) |
−0.773009 | + | 0.634394i | \(0.781250\pi\) | |||||||
\(788\) | −248.766 | − | 320.616i | −0.315693 | − | 0.406874i | ||||
\(789\) | 644.655 | + | 462.309i | 0.817053 | + | 0.585943i | ||||
\(790\) | −805.684 | + | 66.8026i | −1.01985 | + | 0.0845602i | ||||
\(791\) | −130.590 | + | 94.8792i | −0.165095 | + | 0.119948i | ||||
\(792\) | 1117.27 | + | 844.374i | 1.41070 | + | 1.06613i | ||||
\(793\) | −663.236 | + | 663.236i | −0.836363 | + | 0.836363i | ||||
\(794\) | 371.689 | + | 307.445i | 0.468122 | + | 0.387210i | ||||
\(795\) | −227.916 | − | 317.296i | −0.286687 | − | 0.399115i | ||||
\(796\) | −332.701 | − | 156.502i | −0.417966 | − | 0.196610i | ||||
\(797\) | −685.548 | − | 349.304i | −0.860160 | − | 0.438273i | −0.0324792 | − | 0.999472i | \(-0.510340\pi\) |
−0.827681 | + | 0.561199i | \(0.810340\pi\) | |||||||
\(798\) | −1.73761 | + | 8.00837i | −0.00217746 | + | 0.0100356i | ||||
\(799\) | 183.140 | 0.229211 | ||||||||
\(800\) | −720.914 | + | 346.818i | −0.901143 | + | 0.433523i | ||||
\(801\) | −7.94219 | − | 642.511i | −0.00991535 | − | 0.802137i | ||||
\(802\) | −1014.77 | − | 226.756i | −1.26531 | − | 0.282738i | ||||
\(803\) | −1352.37 | − | 689.065i | −1.68414 | − | 0.858113i | ||||
\(804\) | −1224.92 | − | 566.982i | −1.52354 | − | 0.705202i | ||||
\(805\) | −224.904 | + | 302.126i | −0.279384 | + | 0.375312i | ||||
\(806\) | 98.5429 | + | 81.5104i | 0.122262 | + | 0.101130i | ||||
\(807\) | −583.489 | − | 576.321i | −0.723035 | − | 0.714152i | ||||
\(808\) | −488.531 | − | 378.783i | −0.604618 | − | 0.468791i | ||||
\(809\) | −222.519 | + | 161.669i | −0.275054 | + | 0.199838i | −0.716757 | − | 0.697323i | \(-0.754374\pi\) |
0.441703 | + | 0.897161i | \(0.354374\pi\) | |||||||
\(810\) | −702.582 | − | 403.086i | −0.867385 | − | 0.497637i | ||||
\(811\) | 632.980 | − | 871.222i | 0.780493 | − | 1.07426i | −0.214734 | − | 0.976673i | \(-0.568888\pi\) |
0.995227 | − | 0.0975842i | \(-0.0311115\pi\) | |||||||
\(812\) | −112.509 | − | 145.005i | −0.138558 | − | 0.178578i | ||||
\(813\) | −45.8529 | + | 301.554i | −0.0563996 | + | 0.370915i | ||||
\(814\) | −624.190 | + | 396.183i | −0.766818 | + | 0.486711i | ||||
\(815\) | 395.830 | + | 67.4055i | 0.485681 | + | 0.0827061i | ||||
\(816\) | 800.413 | + | 954.917i | 0.980898 | + | 1.17024i | ||||
\(817\) | 19.9310 | − | 10.1554i | 0.0243954 | − | 0.0124301i | ||||
\(818\) | 88.0233 | − | 38.0982i | 0.107608 | − | 0.0465749i | ||||
\(819\) | −123.296 | + | 396.058i | −0.150545 | + | 0.483587i | ||||
\(820\) | 125.586 | + | 701.932i | 0.153153 | + | 0.856014i | ||||
\(821\) | −1148.16 | + | 373.061i | −1.39849 | + | 0.454399i | −0.908704 | − | 0.417441i | \(-0.862927\pi\) |
−0.489791 | + | 0.871840i | \(0.662927\pi\) | |||||||
\(822\) | 915.020 | − | 816.917i | 1.11316 | − | 0.993817i | ||||
\(823\) | 28.6577 | + | 180.938i | 0.0348210 | + | 0.219851i | 0.998963 | − | 0.0455370i | \(-0.0144999\pi\) |
−0.964142 | + | 0.265388i | \(0.914500\pi\) | |||||||
\(824\) | 1.44586 | + | 3.07097i | 0.00175468 | + | 0.00372690i | ||||
\(825\) | 1310.88 | − | 640.088i | 1.58894 | − | 0.775865i | ||||
\(826\) | −40.0314 | + | 101.128i | −0.0484642 | + | 0.122431i | ||||
\(827\) | −39.3134 | − | 248.215i | −0.0475373 | − | 0.300139i | 0.952452 | − | 0.304688i | \(-0.0985521\pi\) |
−0.999990 | + | 0.00454885i | \(0.998552\pi\) | |||||||
\(828\) | −377.305 | − | 1008.29i | −0.455682 | − | 1.21774i | ||||
\(829\) | 913.638 | − | 296.859i | 1.10210 | − | 0.358093i | 0.299187 | − | 0.954194i | \(-0.403284\pi\) |
0.802909 | + | 0.596102i | \(0.203284\pi\) | |||||||
\(830\) | 711.169 | − | 173.888i | 0.856830 | − | 0.209503i | ||||
\(831\) | −199.466 | − | 63.4503i | −0.240032 | − | 0.0763542i | ||||
\(832\) | −1165.76 | + | 110.680i | −1.40116 | + | 0.133029i | ||||
\(833\) | 986.567 | − | 502.681i | 1.18435 | − | 0.603459i | ||||
\(834\) | 76.6499 | + | 290.971i | 0.0919063 | + | 0.348886i | ||||
\(835\) | 832.042 | − | 411.869i | 0.996458 | − | 0.493256i | ||||
\(836\) | 41.4363 | − | 7.91029i | 0.0495650 | − | 0.00946207i | ||||
\(837\) | 93.4534 | + | 13.0304i | 0.111653 | + | 0.0155680i | ||||
\(838\) | −189.633 | + | 320.703i | −0.226293 | + | 0.382700i | ||||
\(839\) | 30.8948 | − | 42.5231i | 0.0368234 | − | 0.0506830i | −0.790208 | − | 0.612838i | \(-0.790028\pi\) |
0.827032 | + | 0.562155i | \(0.190028\pi\) | |||||||
\(840\) | 283.870 | + | 103.872i | 0.337940 | + | 0.123657i | ||||
\(841\) | 411.958 | − | 299.305i | 0.489843 | − | 0.355892i | ||||
\(842\) | −591.642 | + | 55.9675i | −0.702663 | + | 0.0664697i | ||||
\(843\) | −341.607 | + | 345.855i | −0.405227 | + | 0.410267i | ||||
\(844\) | −844.355 | + | 464.339i | −1.00042 | + | 0.550164i | ||||
\(845\) | −785.300 | − | 265.262i | −0.929349 | − | 0.313919i | ||||
\(846\) | −6.39806 | + | 126.831i | −0.00756272 | + | 0.149918i | ||||
\(847\) | 577.558 | + | 294.281i | 0.681887 | + | 0.347439i | ||||
\(848\) | −406.654 | + | 91.0148i | −0.479544 | + | 0.107329i | ||||
\(849\) | −0.225483 | − | 36.4839i | −0.000265587 | − | 0.0429728i | ||||
\(850\) | 1264.27 | − | 293.638i | 1.48737 | − | 0.345457i | ||||
\(851\) | 568.327 | 0.667834 | ||||||||
\(852\) | −495.689 | − | 332.312i | −0.581794 | − | 0.390037i | ||||
\(853\) | −874.522 | − | 445.591i | −1.02523 | − | 0.522381i | −0.141284 | − | 0.989969i | \(-0.545123\pi\) |
−0.883947 | + | 0.467588i | \(0.845123\pi\) | |||||||
\(854\) | 16.1987 | − | 257.752i | 0.0189680 | − | 0.301817i | ||||
\(855\) | −23.1990 | + | 7.55754i | −0.0271333 | + | 0.00883922i | ||||
\(856\) | −1268.17 | + | 160.471i | −1.48150 | + | 0.187467i | ||||
\(857\) | 800.115 | − | 800.115i | 0.933623 | − | 0.933623i | −0.0643068 | − | 0.997930i | \(-0.520484\pi\) |
0.997930 | + | 0.0643068i | \(0.0204836\pi\) | |||||||
\(858\) | 2124.56 | − | 214.232i | 2.47618 | − | 0.249688i | ||||
\(859\) | 605.106 | − | 439.635i | 0.704430 | − | 0.511798i | −0.176942 | − | 0.984221i | \(-0.556620\pi\) |
0.881372 | + | 0.472423i | \(0.156620\pi\) | |||||||
\(860\) | −270.590 | − | 779.495i | −0.314640 | − | 0.906389i | ||||
\(861\) | 157.019 | − | 218.951i | 0.182368 | − | 0.254299i | ||||
\(862\) | −867.983 | − | 513.243i | −1.00694 | − | 0.595410i | ||||
\(863\) | −53.3240 | + | 336.674i | −0.0617891 | + | 0.390121i | 0.937341 | + | 0.348414i | \(0.113280\pi\) |
−0.999130 | + | 0.0417070i | \(0.986720\pi\) | |||||||
\(864\) | −689.277 | + | 520.954i | −0.797774 | + | 0.602956i | ||||
\(865\) | 158.513 | + | 1081.82i | 0.183252 | + | 1.25066i | ||||
\(866\) | 1068.22 | − | 274.350i | 1.23351 | − | 0.316801i | ||||
\(867\) | −530.488 | − | 1025.42i | −0.611866 | − | 1.18273i | ||||
\(868\) | −35.1949 | + | 1.11087i | −0.0405471 | + | 0.00127980i | ||||
\(869\) | 485.927 | − | 1495.53i | 0.559179 | − | 1.72098i | ||||
\(870\) | 203.875 | − | 506.999i | 0.234339 | − | 0.582757i | ||||
\(871\) | −1957.34 | + | 635.979i | −2.24724 | + | 0.730172i | ||||
\(872\) | 1241.24 | + | 38.7524i | 1.42344 | + | 0.0444408i | ||||
\(873\) | −1009.87 | + | 172.769i | −1.15678 | + | 0.197902i | ||||
\(874\) | −30.1522 | − | 11.9357i | −0.0344990 | − | 0.0136564i | ||||
\(875\) | 230.254 | − | 214.773i | 0.263148 | − | 0.245454i | ||||
\(876\) | 636.681 | − | 686.638i | 0.726805 | − | 0.783833i | ||||
\(877\) | −190.275 | − | 1201.35i | −0.216961 | − | 1.36984i | −0.820108 | − | 0.572209i | \(-0.806087\pi\) |
0.603147 | − | 0.797630i | \(-0.293913\pi\) | |||||||
\(878\) | −615.989 | + | 543.142i | −0.701582 | + | 0.618613i | ||||
\(879\) | 1104.61 | − | 366.473i | 1.25667 | − | 0.416921i | ||||
\(880\) | −80.1239 | − | 1553.99i | −0.0910499 | − | 1.76590i | ||||
\(881\) | 1317.83 | + | 428.188i | 1.49583 | + | 0.486025i | 0.938799 | − | 0.344466i | \(-0.111940\pi\) |
0.557032 | + | 0.830491i | \(0.311940\pi\) | |||||||
\(882\) | 313.659 | + | 700.795i | 0.355622 | + | 0.794552i | ||||
\(883\) | 882.370 | − | 449.590i | 0.999287 | − | 0.509162i | 0.123750 | − | 0.992313i | \(-0.460508\pi\) |
0.875537 | + | 0.483151i | \(0.160508\pi\) | |||||||
\(884\) | 1884.89 | + | 237.855i | 2.13223 | + | 0.269067i | ||||
\(885\) | −320.114 | + | 48.9269i | −0.361711 | + | 0.0552847i | ||||
\(886\) | 17.1862 | + | 27.0771i | 0.0193975 | + | 0.0305610i | ||||
\(887\) | 990.453 | + | 156.872i | 1.11663 | + | 0.176857i | 0.687360 | − | 0.726317i | \(-0.258770\pi\) |
0.429273 | + | 0.903175i | \(0.358770\pi\) | |||||||
\(888\) | −130.045 | − | 437.178i | −0.146447 | − | 0.492318i | ||||
\(889\) | 313.896 | − | 432.041i | 0.353089 | − | 0.485985i | ||||
\(890\) | −540.951 | + | 465.945i | −0.607810 | + | 0.523534i | ||||
\(891\) | 1251.33 | − | 957.284i | 1.40441 | − | 1.07439i | ||||
\(892\) | −327.650 | + | 1128.36i | −0.367321 | + | 1.26497i | ||||
\(893\) | 2.70488 | + | 2.70488i | 0.00302898 | + | 0.00302898i | ||||
\(894\) | −149.923 | − | 122.457i | −0.167699 | − | 0.136977i | ||||
\(895\) | 449.438 | − | 140.293i | 0.502165 | − | 0.156752i | ||||
\(896\) | 220.605 | − | 235.146i | 0.246211 | − | 0.262440i | ||||
\(897\) | −1467.16 | − | 736.169i | −1.63563 | − | 0.820702i | ||||
\(898\) | 93.1769 | − | 416.984i | 0.103760 | − | 0.464347i | ||||
\(899\) | 63.6569i | 0.0708085i | ||||||||
\(900\) | 159.187 | + | 885.810i | 0.176875 | + | 0.984233i | ||||
\(901\) | 676.078 | 0.750364 | ||||||||
\(902\) | −1353.61 | − | 302.469i | −1.50067 | − | 0.335332i | ||||
\(903\) | −139.821 | + | 278.659i | −0.154841 | + | 0.308592i | ||||
\(904\) | −373.632 | + | 351.008i | −0.413309 | + | 0.388283i | ||||
\(905\) | 76.2450 | − | 225.721i | 0.0842486 | − | 0.249416i | ||||
\(906\) | 175.832 | − | 215.270i | 0.194076 | − | 0.237605i | ||||
\(907\) | −648.783 | + | 648.783i | −0.715307 | + | 0.715307i | −0.967640 | − | 0.252333i | \(-0.918802\pi\) |
0.252333 | + | 0.967640i | \(0.418802\pi\) | |||||||
\(908\) | −371.198 | + | 1278.33i | −0.408808 | + | 1.40785i | ||||
\(909\) | −557.532 | + | 415.696i | −0.613347 | + | 0.457311i | ||||
\(910\) | 425.070 | − | 178.158i | 0.467110 | − | 0.195777i | ||||
\(911\) | −877.764 | − | 637.733i | −0.963517 | − | 0.700036i | −0.00955216 | − | 0.999954i | \(-0.503041\pi\) |
−0.953965 | + | 0.299918i | \(0.903041\pi\) | |||||||
\(912\) | −2.28194 | + | 25.9253i | −0.00250213 | + | 0.0284269i | ||||
\(913\) | −222.767 | + | 1406.49i | −0.243994 | + | 1.54052i | ||||
\(914\) | −185.372 | + | 117.658i | −0.202814 | + | 0.128729i | ||||
\(915\) | 687.014 | − | 345.382i | 0.750835 | − | 0.377466i | ||||
\(916\) | 1306.99 | + | 164.929i | 1.42684 | + | 0.180053i | ||||
\(917\) | −23.4314 | − | 45.9868i | −0.0255523 | − | 0.0501492i | ||||
\(918\) | 1275.88 | − | 580.546i | 1.38985 | − | 0.632403i | ||||
\(919\) | 109.475 | − | 336.931i | 0.119125 | − | 0.366628i | −0.873660 | − | 0.486536i | \(-0.838260\pi\) |
0.992785 | + | 0.119909i | \(0.0382601\pi\) | |||||||
\(920\) | −588.166 | + | 1041.60i | −0.639310 | + | 1.13217i | ||||
\(921\) | −378.747 | − | 1141.61i | −0.411235 | − | 1.23953i | ||||
\(922\) | 945.025 | + | 1071.77i | 1.02497 | + | 1.16244i | ||||
\(923\) | −898.724 | + | 142.344i | −0.973699 | + | 0.154219i | ||||
\(924\) | −399.764 | + | 431.131i | −0.432645 | + | 0.466592i | ||||
\(925\) | −467.416 | − | 85.1823i | −0.505315 | − | 0.0920890i | ||||
\(926\) | −123.601 | + | 312.244i | −0.133479 | + | 0.337196i | ||||
\(927\) | 3.76392 | − | 0.643933i | 0.00406032 | − | 0.000694642i | ||||
\(928\) | −412.303 | − | 412.021i | −0.444292 | − | 0.443988i | ||||
\(929\) | 271.393 | + | 835.261i | 0.292134 | + | 0.899097i | 0.984169 | + | 0.177233i | \(0.0567146\pi\) |
−0.692034 | + | 0.721864i | \(0.743285\pi\) | |||||||
\(930\) | −55.7032 | − | 88.8195i | −0.0598959 | − | 0.0955049i | ||||
\(931\) | 21.9954 | + | 7.14675i | 0.0236256 | + | 0.00767642i | ||||
\(932\) | −777.265 | + | 24.5331i | −0.833975 | + | 0.0263231i | ||||
\(933\) | −934.491 | + | 483.445i | −1.00160 | + | 0.518162i | ||||
\(934\) | 388.109 | + | 1511.16i | 0.415535 | + | 1.61794i | ||||
\(935\) | −423.802 | + | 2488.72i | −0.453264 | + | 2.66174i | ||||
\(936\) | −230.572 | + | 1297.05i | −0.246338 | + | 1.38573i | ||||
\(937\) | 1365.10 | + | 216.211i | 1.45688 | + | 0.230748i | 0.834086 | − | 0.551635i | \(-0.185996\pi\) |
0.622798 | + | 0.782383i | \(0.285996\pi\) | |||||||
\(938\) | 288.429 | − | 487.783i | 0.307493 | − | 0.520024i | ||||
\(939\) | −539.355 | − | 386.794i | −0.574393 | − | 0.411921i | ||||
\(940\) | 112.476 | − | 85.2000i | 0.119655 | − | 0.0906383i | ||||
\(941\) | −118.683 | − | 163.354i | −0.126125 | − | 0.173596i | 0.741285 | − | 0.671190i | \(-0.234217\pi\) |
−0.867410 | + | 0.497595i | \(0.834217\pi\) | |||||||
\(942\) | 160.483 | + | 1591.52i | 0.170364 | + | 1.68951i | ||||
\(943\) | 753.931 | + | 753.931i | 0.799502 | + | 0.799502i | ||||
\(944\) | −85.8108 | + | 334.592i | −0.0909013 | + | 0.354440i | ||||
\(945\) | 197.966 | − | 276.498i | 0.209488 | − | 0.292590i | ||||
\(946\) | 1601.77 | + | 100.665i | 1.69320 | + | 0.106411i | ||||
\(947\) | 268.662 | − | 527.279i | 0.283698 | − | 0.556789i | −0.704549 | − | 0.709656i | \(-0.748850\pi\) |
0.988247 | + | 0.152867i | \(0.0488505\pi\) | |||||||
\(948\) | 805.812 | + | 540.219i | 0.850012 | + | 0.569851i | ||||
\(949\) | − | 1427.76i | − | 1.50449i | ||||||
\(950\) | 23.0095 | + | 14.3357i | 0.0242205 | + | 0.0150902i | ||||
\(951\) | −365.453 | + | 2.25863i | −0.384283 | + | 0.00237500i | ||||
\(952\) | −432.593 | + | 294.120i | −0.454404 | + | 0.308949i | ||||
\(953\) | −163.641 | + | 321.165i | −0.171712 | + | 0.337004i | −0.960784 | − | 0.277296i | \(-0.910562\pi\) |
0.789072 | + | 0.614300i | \(0.210562\pi\) | |||||||
\(954\) | −23.6190 | + | 468.208i | −0.0247579 | + | 0.490784i | ||||
\(955\) | 49.7425 | − | 35.2664i | 0.0520864 | − | 0.0369282i | ||||
\(956\) | −329.629 | + | 181.274i | −0.344801 | + | 0.189617i | ||||
\(957\) | 756.210 | + | 746.920i | 0.790188 | + | 0.780481i | ||||
\(958\) | 81.3051 | + | 859.490i | 0.0848696 | + | 0.897171i | ||||
\(959\) | 302.694 | + | 416.623i | 0.315635 | + | 0.434435i | ||||
\(960\) | 935.821 | + | 214.099i | 0.974814 | + | 0.223020i | ||||
\(961\) | −767.585 | − | 557.683i | −0.798735 | − | 0.580315i | ||||
\(962\) | −598.629 | − | 353.973i | −0.622276 | − | 0.367955i | ||||
\(963\) | −207.390 | + | 1423.03i | −0.215358 | + | 1.47771i | ||||
\(964\) | 571.856 | − | 109.168i | 0.593211 | − | 0.113245i | ||||
\(965\) | 1265.40 | − | 1236.40i | 1.31129 | − | 1.28124i | ||||
\(966\) | 437.065 | − | 115.135i | 0.452448 | − | 0.119187i | ||||
\(967\) | 377.496 | + | 740.878i | 0.390379 | + | 0.766161i | 0.999641 | − | 0.0268077i | \(-0.00853418\pi\) |
−0.609262 | + | 0.792969i | \(0.708534\pi\) | |||||||
\(968\) | 1937.08 | + | 696.943i | 2.00112 | + | 0.719982i | ||||
\(969\) | 12.7995 | − | 40.2372i | 0.0132089 | − | 0.0415244i | ||||
\(970\) | 868.716 | + | 735.688i | 0.895584 | + | 0.758442i | ||||
\(971\) | −509.898 | − | 1569.30i | −0.525127 | − | 1.61617i | −0.764065 | − | 0.645139i | \(-0.776800\pi\) |
0.238939 | − | 0.971035i | \(-0.423200\pi\) | |||||||
\(972\) | 357.476 | + | 903.878i | 0.367773 | + | 0.929915i | ||||
\(973\) | −124.770 | + | 19.7617i | −0.128233 | + | 0.0203100i | ||||
\(974\) | 647.418 | + | 256.280i | 0.664700 | + | 0.263121i | ||||
\(975\) | 1096.32 | + | 825.359i | 1.12443 | + | 0.846522i | ||||
\(976\) | −51.7256 | − | 818.576i | −0.0529975 | − | 0.838705i | ||||
\(977\) | −923.450 | + | 146.260i | −0.945190 | + | 0.149703i | −0.609959 | − | 0.792433i | \(-0.708814\pi\) |
−0.335230 | + | 0.942136i | \(0.608814\pi\) | |||||||
\(978\) | −320.895 | − | 359.431i | −0.328113 | − | 0.367516i | ||||
\(979\) | −429.131 | − | 1320.73i | −0.438336 | − | 1.34906i | ||||
\(980\) | 372.048 | − | 767.693i | 0.379641 | − | 0.783360i | ||||
\(981\) | 415.265 | − | 1333.94i | 0.423308 | − | 1.35977i | ||||
\(982\) | −352.844 | − | 815.220i | −0.359311 | − | 0.830163i | ||||
\(983\) | −577.477 | − | 1133.36i | −0.587464 | − | 1.15296i | −0.973115 | − | 0.230318i | \(-0.926023\pi\) |
0.385652 | − | 0.922644i | \(-0.373977\pi\) | |||||||
\(984\) | 407.437 | − | 752.467i | 0.414062 | − | 0.764702i | ||||
\(985\) | 449.271 | + | 235.514i | 0.456113 | + | 0.239101i | ||||
\(986\) | 506.772 | + | 798.424i | 0.513968 | + | 0.809761i | ||||
\(987\) | −52.7092 | − | 8.01471i | −0.0534034 | − | 0.00812027i | ||||
\(988\) | 24.3259 | + | 31.3519i | 0.0246213 | + | 0.0317327i | ||||
\(989\) | −998.130 | − | 725.184i | −1.00923 | − | 0.733249i | ||||
\(990\) | −1708.72 | − | 380.443i | −1.72598 | − | 0.384286i | ||||
\(991\) | 212.378 | + | 292.313i | 0.214307 | + | 0.294968i | 0.902614 | − | 0.430452i | \(-0.141646\pi\) |
−0.688307 | + | 0.725420i | \(0.741646\pi\) | |||||||
\(992\) | −110.448 | + | 17.5320i | −0.111339 | + | 0.0176734i | ||||
\(993\) | 1003.93 | − | 1016.41i | 1.01100 | − | 1.02358i | ||||
\(994\) | 159.689 | − | 193.057i | 0.160653 | − | 0.194223i | ||||
\(995\) | 459.559 | + | 5.32718i | 0.461869 | + | 0.00535395i | ||||
\(996\) | −797.277 | − | 369.036i | −0.800479 | − | 0.370518i | ||||
\(997\) | 120.134 | − | 235.777i | 0.120496 | − | 0.236486i | −0.822878 | − | 0.568218i | \(-0.807633\pi\) |
0.943374 | + | 0.331732i | \(0.107633\pi\) | |||||||
\(998\) | 45.0562 | − | 201.635i | 0.0451465 | − | 0.202039i | ||||
\(999\) | −513.036 | + | 9.51319i | −0.513549 | + | 0.00952271i |
(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 | 300.3.u.a.287.50 | yes | 928 | |
3.2 | odd | 2 | inner | 300.3.u.a.287.67 | yes | 928 | |
4.3 | odd | 2 | inner | 300.3.u.a.287.39 | yes | 928 | |
12.11 | even | 2 | inner | 300.3.u.a.287.78 | yes | 928 | |
25.23 | odd | 20 | inner | 300.3.u.a.23.78 | yes | 928 | |
75.23 | even | 20 | inner | 300.3.u.a.23.39 | ✓ | 928 | |
100.23 | even | 20 | inner | 300.3.u.a.23.67 | yes | 928 | |
300.23 | odd | 20 | inner | 300.3.u.a.23.50 | yes | 928 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.3.u.a.23.39 | ✓ | 928 | 75.23 | even | 20 | inner | |
300.3.u.a.23.50 | yes | 928 | 300.23 | odd | 20 | inner | |
300.3.u.a.23.67 | yes | 928 | 100.23 | even | 20 | inner | |
300.3.u.a.23.78 | yes | 928 | 25.23 | odd | 20 | inner | |
300.3.u.a.287.39 | yes | 928 | 4.3 | odd | 2 | inner | |
300.3.u.a.287.50 | yes | 928 | 1.1 | even | 1 | trivial | |
300.3.u.a.287.67 | yes | 928 | 3.2 | odd | 2 | inner | |
300.3.u.a.287.78 | yes | 928 | 12.11 | even | 2 | inner |