Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(131,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 5, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.131");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.z (of order \(6\), degree \(2\), 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: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 131.12 | ||
Character | \(\chi\) | \(=\) | 546.131 |
Dual form | 546.2.z.a.521.12 |
$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.866025 | + | 0.500000i | 0.612372 | + | 0.353553i | ||||
\(3\) | 0.110315 | + | 1.72853i | 0.0636903 | + | 0.997970i | ||||
\(4\) | 0.500000 | + | 0.866025i | 0.250000 | + | 0.433013i | ||||
\(5\) | −1.50901 | + | 2.61368i | −0.674849 | + | 1.16887i | 0.301664 | + | 0.953414i | \(0.402458\pi\) |
−0.976513 | + | 0.215459i | \(0.930875\pi\) | |||||||
\(6\) | −0.768732 | + | 1.55211i | −0.313833 | + | 0.633647i | ||||
\(7\) | 0.237102 | − | 2.63511i | 0.0896160 | − | 0.995976i | ||||
\(8\) | 1.00000i | 0.353553i | ||||||||
\(9\) | −2.97566 | + | 0.381366i | −0.991887 | + | 0.127122i | ||||
\(10\) | −2.61368 | + | 1.50901i | −0.826518 | + | 0.477190i | ||||
\(11\) | −4.75486 | + | 2.74522i | −1.43364 | + | 0.827715i | −0.997397 | − | 0.0721117i | \(-0.977026\pi\) |
−0.436248 | + | 0.899827i | \(0.643693\pi\) | |||||||
\(12\) | −1.44180 | + | 0.959803i | −0.416211 | + | 0.277071i | ||||
\(13\) | − | 1.00000i | − | 0.277350i | ||||||
\(14\) | 1.52289 | − | 2.16352i | 0.407009 | − | 0.578224i | ||||
\(15\) | −4.68430 | − | 2.32005i | −1.20948 | − | 0.599033i | ||||
\(16\) | −0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | ||||
\(17\) | −0.598594 | − | 1.03680i | −0.145180 | − | 0.251460i | 0.784260 | − | 0.620432i | \(-0.213043\pi\) |
−0.929440 | + | 0.368973i | \(0.879710\pi\) | |||||||
\(18\) | −2.76768 | − | 1.15756i | −0.652349 | − | 0.272839i | ||||
\(19\) | 5.49095 | + | 3.17020i | 1.25971 | + | 0.727294i | 0.973018 | − | 0.230728i | \(-0.0741109\pi\) |
0.286692 | + | 0.958023i | \(0.407444\pi\) | |||||||
\(20\) | −3.01802 | −0.674849 | ||||||||
\(21\) | 4.58103 | + | 0.119147i | 0.999662 | + | 0.0260000i | ||||
\(22\) | −5.49044 | −1.17057 | ||||||||
\(23\) | 3.22876 | + | 1.86412i | 0.673242 | + | 0.388697i | 0.797304 | − | 0.603578i | \(-0.206259\pi\) |
−0.124062 | + | 0.992274i | \(0.539592\pi\) | |||||||
\(24\) | −1.72853 | + | 0.110315i | −0.352836 | + | 0.0225179i | ||||
\(25\) | −2.05422 | − | 3.55800i | −0.410843 | − | 0.711601i | ||||
\(26\) | 0.500000 | − | 0.866025i | 0.0980581 | − | 0.169842i | ||||
\(27\) | −0.987464 | − | 5.10146i | −0.190038 | − | 0.981777i | ||||
\(28\) | 2.40062 | − | 1.11222i | 0.453674 | − | 0.210189i | ||||
\(29\) | 2.12546i | 0.394687i | 0.980334 | + | 0.197344i | \(0.0632315\pi\) | ||||
−0.980334 | + | 0.197344i | \(0.936768\pi\) | |||||||
\(30\) | −2.89670 | − | 4.35137i | −0.528863 | − | 0.794448i | ||||
\(31\) | 4.87257 | − | 2.81318i | 0.875139 | − | 0.505262i | 0.00608662 | − | 0.999981i | \(-0.498063\pi\) |
0.869053 | + | 0.494720i | \(0.164729\pi\) | |||||||
\(32\) | −0.866025 | + | 0.500000i | −0.153093 | + | 0.0883883i | ||||
\(33\) | −5.26974 | − | 7.91610i | −0.917344 | − | 1.37802i | ||||
\(34\) | − | 1.19719i | − | 0.205316i | ||||||
\(35\) | 6.52953 | + | 4.59611i | 1.10369 | + | 0.776884i | ||||
\(36\) | −1.81810 | − | 2.38632i | −0.303017 | − | 0.397719i | ||||
\(37\) | −4.76840 | + | 8.25912i | −0.783921 | + | 1.35779i | 0.145721 | + | 0.989326i | \(0.453450\pi\) |
−0.929642 | + | 0.368465i | \(0.879884\pi\) | |||||||
\(38\) | 3.17020 | + | 5.49095i | 0.514275 | + | 0.890750i | ||||
\(39\) | 1.72853 | − | 0.110315i | 0.276787 | − | 0.0176645i | ||||
\(40\) | −2.61368 | − | 1.50901i | −0.413259 | − | 0.238595i | ||||
\(41\) | 4.26441 | 0.665989 | 0.332994 | − | 0.942929i | \(-0.391941\pi\) | ||||
0.332994 | + | 0.942929i | \(0.391941\pi\) | |||||||
\(42\) | 3.90771 | + | 2.39370i | 0.602973 | + | 0.369356i | ||||
\(43\) | −10.2841 | −1.56831 | −0.784153 | − | 0.620568i | \(-0.786902\pi\) | ||||
−0.784153 | + | 0.620568i | \(0.786902\pi\) | |||||||
\(44\) | −4.75486 | − | 2.74522i | −0.716822 | − | 0.413857i | ||||
\(45\) | 3.49353 | − | 8.35291i | 0.520785 | − | 1.24518i | ||||
\(46\) | 1.86412 | + | 3.22876i | 0.274850 | + | 0.476054i | ||||
\(47\) | −3.89783 | + | 6.75123i | −0.568556 | + | 0.984768i | 0.428153 | + | 0.903706i | \(0.359165\pi\) |
−0.996709 | + | 0.0810620i | \(0.974169\pi\) | |||||||
\(48\) | −1.55211 | − | 0.768732i | −0.224028 | − | 0.110957i | ||||
\(49\) | −6.88757 | − | 1.24958i | −0.983938 | − | 0.178511i | ||||
\(50\) | − | 4.10843i | − | 0.581020i | ||||||
\(51\) | 1.72610 | − | 1.14906i | 0.241703 | − | 0.160901i | ||||
\(52\) | 0.866025 | − | 0.500000i | 0.120096 | − | 0.0693375i | ||||
\(53\) | 6.53582 | − | 3.77346i | 0.897764 | − | 0.518324i | 0.0212900 | − | 0.999773i | \(-0.493223\pi\) |
0.876474 | + | 0.481449i | \(0.159889\pi\) | |||||||
\(54\) | 1.69556 | − | 4.91173i | 0.230737 | − | 0.668401i | ||||
\(55\) | − | 16.5702i | − | 2.23433i | ||||||
\(56\) | 2.63511 | + | 0.237102i | 0.352131 | + | 0.0316841i | ||||
\(57\) | −4.87407 | + | 9.84102i | −0.645586 | + | 1.30347i | ||||
\(58\) | −1.06273 | + | 1.84070i | −0.139543 | + | 0.241696i | ||||
\(59\) | 2.06202 | + | 3.57153i | 0.268452 | + | 0.464973i | 0.968462 | − | 0.249160i | \(-0.0801545\pi\) |
−0.700010 | + | 0.714133i | \(0.746821\pi\) | |||||||
\(60\) | −0.332932 | − | 5.21675i | −0.0429814 | − | 0.673479i | ||||
\(61\) | 8.26163 | + | 4.76985i | 1.05779 | + | 0.610717i | 0.924821 | − | 0.380403i | \(-0.124215\pi\) |
0.132972 | + | 0.991120i | \(0.457548\pi\) | |||||||
\(62\) | 5.62636 | 0.714548 | ||||||||
\(63\) | 0.299406 | + | 7.93160i | 0.0377216 | + | 0.999288i | ||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | 2.61368 | + | 1.50901i | 0.324187 | + | 0.187170i | ||||
\(66\) | −0.605677 | − | 9.49041i | −0.0745537 | − | 1.16819i | ||||
\(67\) | 4.97378 | + | 8.61485i | 0.607644 | + | 1.05247i | 0.991628 | + | 0.129131i | \(0.0412188\pi\) |
−0.383983 | + | 0.923340i | \(0.625448\pi\) | |||||||
\(68\) | 0.598594 | − | 1.03680i | 0.0725902 | − | 0.125730i | ||||
\(69\) | −2.86602 | + | 5.78666i | −0.345028 | + | 0.696632i | ||||
\(70\) | 3.35669 | + | 7.24511i | 0.401201 | + | 0.865956i | ||||
\(71\) | 2.25721i | 0.267881i | 0.990989 | + | 0.133941i | \(0.0427632\pi\) | ||||
−0.990989 | + | 0.133941i | \(0.957237\pi\) | |||||||
\(72\) | −0.381366 | − | 2.97566i | −0.0449444 | − | 0.350685i | ||||
\(73\) | −0.501169 | + | 0.289350i | −0.0586574 | + | 0.0338658i | −0.529042 | − | 0.848596i | \(-0.677449\pi\) |
0.470385 | + | 0.882462i | \(0.344115\pi\) | |||||||
\(74\) | −8.25912 | + | 4.76840i | −0.960103 | + | 0.554316i | ||||
\(75\) | 5.92352 | − | 3.94328i | 0.683989 | − | 0.455331i | ||||
\(76\) | 6.34040i | 0.727294i | ||||||||
\(77\) | 6.10656 | + | 13.1805i | 0.695907 | + | 1.50205i | ||||
\(78\) | 1.55211 | + | 0.768732i | 0.175742 | + | 0.0870417i | ||||
\(79\) | 0.649232 | − | 1.12450i | 0.0730443 | − | 0.126517i | −0.827190 | − | 0.561923i | \(-0.810062\pi\) |
0.900234 | + | 0.435406i | \(0.143395\pi\) | |||||||
\(80\) | −1.50901 | − | 2.61368i | −0.168712 | − | 0.292218i | ||||
\(81\) | 8.70912 | − | 2.26963i | 0.967680 | − | 0.252181i | ||||
\(82\) | 3.69309 | + | 2.13220i | 0.407833 | + | 0.235463i | ||||
\(83\) | 11.4985 | 1.26212 | 0.631061 | − | 0.775733i | \(-0.282620\pi\) | ||||
0.631061 | + | 0.775733i | \(0.282620\pi\) | |||||||
\(84\) | 2.18733 | + | 4.02686i | 0.238657 | + | 0.439366i | ||||
\(85\) | 3.61313 | 0.391899 | ||||||||
\(86\) | −8.90626 | − | 5.14203i | −0.960387 | − | 0.554480i | ||||
\(87\) | −3.67393 | + | 0.234470i | −0.393886 | + | 0.0251378i | ||||
\(88\) | −2.74522 | − | 4.75486i | −0.292641 | − | 0.506870i | ||||
\(89\) | 2.75175 | − | 4.76616i | 0.291685 | − | 0.505212i | −0.682524 | − | 0.730863i | \(-0.739118\pi\) |
0.974208 | + | 0.225651i | \(0.0724509\pi\) | |||||||
\(90\) | 7.20194 | − | 5.48707i | 0.759151 | − | 0.578388i | ||||
\(91\) | −2.63511 | − | 0.237102i | −0.276234 | − | 0.0248550i | ||||
\(92\) | 3.72825i | 0.388697i | ||||||||
\(93\) | 5.40019 | + | 8.11207i | 0.559974 | + | 0.841182i | ||||
\(94\) | −6.75123 | + | 3.89783i | −0.696336 | + | 0.402030i | ||||
\(95\) | −16.5718 | + | 9.56773i | −1.70023 | + | 0.981628i | ||||
\(96\) | −0.959803 | − | 1.44180i | −0.0979594 | − | 0.147153i | ||||
\(97\) | − | 9.59143i | − | 0.973862i | −0.873440 | − | 0.486931i | \(-0.838116\pi\) | ||
0.873440 | − | 0.486931i | \(-0.161884\pi\) | |||||||
\(98\) | −5.34002 | − | 4.52595i | −0.539423 | − | 0.457190i | ||||
\(99\) | 13.1019 | − | 9.98219i | 1.31679 | − | 1.00325i | ||||
\(100\) | 2.05422 | − | 3.55800i | 0.205422 | − | 0.355800i | ||||
\(101\) | −7.58135 | − | 13.1313i | −0.754372 | − | 1.30661i | −0.945686 | − | 0.325082i | \(-0.894608\pi\) |
0.191314 | − | 0.981529i | \(-0.438725\pi\) | |||||||
\(102\) | 2.06938 | − | 0.132068i | 0.204899 | − | 0.0130767i | ||||
\(103\) | 16.8619 | + | 9.73525i | 1.66146 | + | 0.959242i | 0.972021 | + | 0.234895i | \(0.0754747\pi\) |
0.689435 | + | 0.724347i | \(0.257859\pi\) | |||||||
\(104\) | 1.00000 | 0.0980581 | ||||||||
\(105\) | −7.22422 | + | 11.7935i | −0.705012 | + | 1.15093i | ||||
\(106\) | 7.54692 | 0.733021 | ||||||||
\(107\) | −9.22412 | − | 5.32555i | −0.891730 | − | 0.514840i | −0.0172218 | − | 0.999852i | \(-0.505482\pi\) |
−0.874508 | + | 0.485011i | \(0.838815\pi\) | |||||||
\(108\) | 3.92426 | − | 3.40590i | 0.377612 | − | 0.327733i | ||||
\(109\) | 1.55939 | + | 2.70095i | 0.149363 | + | 0.258704i | 0.930992 | − | 0.365039i | \(-0.118944\pi\) |
−0.781629 | + | 0.623743i | \(0.785611\pi\) | |||||||
\(110\) | 8.28512 | − | 14.3503i | 0.789955 | − | 1.36824i | ||||
\(111\) | −14.8022 | − | 7.33124i | −1.40496 | − | 0.695851i | ||||
\(112\) | 2.16352 | + | 1.52289i | 0.204433 | + | 0.143899i | ||||
\(113\) | − | 14.0724i | − | 1.32382i | −0.749581 | − | 0.661912i | \(-0.769745\pi\) | ||
0.749581 | − | 0.661912i | \(-0.230255\pi\) | |||||||
\(114\) | −9.14158 | + | 6.08554i | −0.856187 | + | 0.569963i | ||||
\(115\) | −9.74444 | + | 5.62596i | −0.908674 | + | 0.524623i | ||||
\(116\) | −1.84070 | + | 1.06273i | −0.170905 | + | 0.0986719i | ||||
\(117\) | 0.381366 | + | 2.97566i | 0.0352573 | + | 0.275100i | ||||
\(118\) | 4.12404i | 0.379649i | ||||||||
\(119\) | −2.87399 | + | 1.33153i | −0.263459 | + | 0.122061i | ||||
\(120\) | 2.32005 | − | 4.68430i | 0.211790 | − | 0.427616i | ||||
\(121\) | 9.57246 | − | 16.5800i | 0.870224 | − | 1.50727i | ||||
\(122\) | 4.76985 | + | 8.26163i | 0.431842 | + | 0.747973i | ||||
\(123\) | 0.470428 | + | 7.37118i | 0.0424170 | + | 0.664637i | ||||
\(124\) | 4.87257 | + | 2.81318i | 0.437570 | + | 0.252631i | ||||
\(125\) | −2.69077 | −0.240670 | ||||||||
\(126\) | −3.70651 | + | 7.01867i | −0.330202 | + | 0.625273i | ||||
\(127\) | −5.96831 | −0.529602 | −0.264801 | − | 0.964303i | \(-0.585306\pi\) | ||||
−0.264801 | + | 0.964303i | \(0.585306\pi\) | |||||||
\(128\) | −0.866025 | − | 0.500000i | −0.0765466 | − | 0.0441942i | ||||
\(129\) | −1.13449 | − | 17.7764i | −0.0998859 | − | 1.56512i | ||||
\(130\) | 1.50901 | + | 2.61368i | 0.132349 | + | 0.229235i | ||||
\(131\) | −7.37542 | + | 12.7746i | −0.644393 | + | 1.11612i | 0.340048 | + | 0.940408i | \(0.389557\pi\) |
−0.984441 | + | 0.175714i | \(0.943777\pi\) | |||||||
\(132\) | 4.22067 | − | 8.52178i | 0.367363 | − | 0.741725i | ||||
\(133\) | 9.65573 | − | 13.7176i | 0.837258 | − | 1.18946i | ||||
\(134\) | 9.94757i | 0.859339i | ||||||||
\(135\) | 14.8237 | + | 5.11724i | 1.27582 | + | 0.440421i | ||||
\(136\) | 1.03680 | − | 0.598594i | 0.0889045 | − | 0.0513290i | ||||
\(137\) | 3.58345 | − | 2.06890i | 0.306154 | − | 0.176758i | −0.339050 | − | 0.940768i | \(-0.610106\pi\) |
0.645204 | + | 0.764010i | \(0.276772\pi\) | |||||||
\(138\) | −5.37538 | + | 3.57838i | −0.457582 | + | 0.304612i | ||||
\(139\) | 6.64877i | 0.563941i | 0.959423 | + | 0.281971i | \(0.0909880\pi\) | ||||
−0.959423 | + | 0.281971i | \(0.909012\pi\) | |||||||
\(140\) | −0.715577 | + | 7.95280i | −0.0604773 | + | 0.672134i | ||||
\(141\) | −12.0997 | − | 5.99276i | −1.01898 | − | 0.504682i | ||||
\(142\) | −1.12860 | + | 1.95480i | −0.0947104 | + | 0.164043i | ||||
\(143\) | 2.74522 | + | 4.75486i | 0.229567 | + | 0.397621i | ||||
\(144\) | 1.15756 | − | 2.76768i | 0.0964632 | − | 0.230640i | ||||
\(145\) | −5.55526 | − | 3.20733i | −0.461340 | − | 0.266355i | ||||
\(146\) | −0.578700 | −0.0478935 | ||||||||
\(147\) | 1.40013 | − | 12.0432i | 0.115481 | − | 0.993310i | ||||
\(148\) | −9.53681 | −0.783921 | ||||||||
\(149\) | 15.6769 | + | 9.05107i | 1.28430 | + | 0.741492i | 0.977632 | − | 0.210323i | \(-0.0674517\pi\) |
0.306671 | + | 0.951816i | \(0.400785\pi\) | |||||||
\(150\) | 7.10156 | − | 0.453221i | 0.579840 | − | 0.0370053i | ||||
\(151\) | 3.07005 | + | 5.31748i | 0.249837 | + | 0.432730i | 0.963480 | − | 0.267779i | \(-0.0862896\pi\) |
−0.713643 | + | 0.700509i | \(0.752956\pi\) | |||||||
\(152\) | −3.17020 | + | 5.49095i | −0.257137 | + | 0.445375i | ||||
\(153\) | 2.17661 | + | 2.85687i | 0.175969 | + | 0.230964i | ||||
\(154\) | −1.30179 | + | 14.4679i | −0.104901 | + | 1.16586i | ||||
\(155\) | 16.9804i | 1.36390i | ||||||||
\(156\) | 0.959803 | + | 1.44180i | 0.0768457 | + | 0.115436i | ||||
\(157\) | 8.56382 | − | 4.94432i | 0.683467 | − | 0.394600i | −0.117693 | − | 0.993050i | \(-0.537550\pi\) |
0.801160 | + | 0.598450i | \(0.204217\pi\) | |||||||
\(158\) | 1.12450 | − | 0.649232i | 0.0894607 | − | 0.0516501i | ||||
\(159\) | 7.24355 | + | 10.8811i | 0.574451 | + | 0.862929i | ||||
\(160\) | − | 3.01802i | − | 0.238595i | ||||||
\(161\) | 5.67771 | − | 8.06613i | 0.447466 | − | 0.635700i | ||||
\(162\) | 8.67714 | + | 2.38900i | 0.681740 | + | 0.187698i | ||||
\(163\) | 6.31039 | − | 10.9299i | 0.494268 | − | 0.856097i | −0.505711 | − | 0.862703i | \(-0.668770\pi\) |
0.999978 | + | 0.00660658i | \(0.00210295\pi\) | |||||||
\(164\) | 2.13220 | + | 3.69309i | 0.166497 | + | 0.288382i | ||||
\(165\) | 28.6422 | − | 1.82794i | 2.22979 | − | 0.142305i | ||||
\(166\) | 9.95798 | + | 5.74924i | 0.772889 | + | 0.446228i | ||||
\(167\) | −8.02801 | −0.621226 | −0.310613 | − | 0.950536i | \(-0.600534\pi\) | ||||
−0.310613 | + | 0.950536i | \(0.600534\pi\) | |||||||
\(168\) | −0.119147 | + | 4.58103i | −0.00919240 | + | 0.353434i | ||||
\(169\) | −1.00000 | −0.0769231 | ||||||||
\(170\) | 3.12907 | + | 1.80657i | 0.239988 | + | 0.138557i | ||||
\(171\) | −17.5482 | − | 7.33939i | −1.34195 | − | 0.561257i | ||||
\(172\) | −5.14203 | − | 8.90626i | −0.392076 | − | 0.679096i | ||||
\(173\) | 4.44940 | − | 7.70658i | 0.338281 | − | 0.585921i | −0.645828 | − | 0.763483i | \(-0.723488\pi\) |
0.984110 | + | 0.177562i | \(0.0568211\pi\) | |||||||
\(174\) | −3.29895 | − | 1.63391i | −0.250093 | − | 0.123866i | ||||
\(175\) | −9.86278 | + | 4.56946i | −0.745556 | + | 0.345419i | ||||
\(176\) | − | 5.49044i | − | 0.413857i | ||||||
\(177\) | −5.94603 | + | 3.95827i | −0.446931 | + | 0.297522i | ||||
\(178\) | 4.76616 | − | 2.75175i | 0.357239 | − | 0.206252i | ||||
\(179\) | 15.8867 | − | 9.17219i | 1.18743 | − | 0.685562i | 0.229707 | − | 0.973260i | \(-0.426223\pi\) |
0.957721 | + | 0.287698i | \(0.0928900\pi\) | |||||||
\(180\) | 8.98060 | − | 1.15097i | 0.669374 | − | 0.0857882i | ||||
\(181\) | − | 17.9573i | − | 1.33476i | −0.744719 | − | 0.667378i | \(-0.767416\pi\) | ||
0.744719 | − | 0.667378i | \(-0.232584\pi\) | |||||||
\(182\) | −2.16352 | − | 1.52289i | −0.160371 | − | 0.112884i | ||||
\(183\) | −7.33347 | + | 14.8067i | −0.542106 | + | 1.09454i | ||||
\(184\) | −1.86412 | + | 3.22876i | −0.137425 | + | 0.238027i | ||||
\(185\) | −14.3911 | − | 24.9262i | −1.05806 | − | 1.83261i | ||||
\(186\) | 0.620671 | + | 9.72535i | 0.0455098 | + | 0.713097i | ||||
\(187\) | 5.69246 | + | 3.28654i | 0.416274 | + | 0.240336i | ||||
\(188\) | −7.79565 | −0.568556 | ||||||||
\(189\) | −13.6770 | + | 1.39251i | −0.994857 | + | 0.101290i | ||||
\(190\) | −19.1355 | −1.38823 | ||||||||
\(191\) | −0.471000 | − | 0.271932i | −0.0340803 | − | 0.0196763i | 0.482863 | − | 0.875696i | \(-0.339597\pi\) |
−0.516943 | + | 0.856020i | \(0.672930\pi\) | |||||||
\(192\) | −0.110315 | − | 1.72853i | −0.00796129 | − | 0.124746i | ||||
\(193\) | 6.85549 | + | 11.8741i | 0.493469 | + | 0.854713i | 0.999972 | − | 0.00752531i | \(-0.00239540\pi\) |
−0.506503 | + | 0.862238i | \(0.669062\pi\) | |||||||
\(194\) | 4.79571 | − | 8.30642i | 0.344312 | − | 0.596366i | ||||
\(195\) | −2.32005 | + | 4.68430i | −0.166142 | + | 0.335450i | ||||
\(196\) | −2.36162 | − | 6.58959i | −0.168687 | − | 0.470685i | ||||
\(197\) | 3.54811i | 0.252792i | 0.991980 | + | 0.126396i | \(0.0403410\pi\) | ||||
−0.991980 | + | 0.126396i | \(0.959659\pi\) | |||||||
\(198\) | 16.3377 | − | 2.09387i | 1.16107 | − | 0.148805i | ||||
\(199\) | −17.9941 | + | 10.3889i | −1.27557 | + | 0.736449i | −0.976030 | − | 0.217636i | \(-0.930166\pi\) |
−0.299537 | + | 0.954085i | \(0.596832\pi\) | |||||||
\(200\) | 3.55800 | − | 2.05422i | 0.251589 | − | 0.145255i | ||||
\(201\) | −14.3424 | + | 9.54770i | −1.01163 | + | 0.673443i | ||||
\(202\) | − | 15.1627i | − | 1.06684i | ||||||
\(203\) | 5.60080 | + | 0.503950i | 0.393099 | + | 0.0353703i | ||||
\(204\) | 1.85817 | + | 0.920316i | 0.130098 | + | 0.0644350i | ||||
\(205\) | −6.43503 | + | 11.1458i | −0.449442 | + | 0.778456i | ||||
\(206\) | 9.73525 | + | 16.8619i | 0.678287 | + | 1.17483i | ||||
\(207\) | −10.3186 | − | 4.31566i | −0.717192 | − | 0.299959i | ||||
\(208\) | 0.866025 | + | 0.500000i | 0.0600481 | + | 0.0346688i | ||||
\(209\) | −34.8116 | −2.40797 | ||||||||
\(210\) | −12.1531 | + | 6.60140i | −0.838646 | + | 0.455540i | ||||
\(211\) | −6.94500 | −0.478114 | −0.239057 | − | 0.971006i | \(-0.576838\pi\) | ||||
−0.239057 | + | 0.971006i | \(0.576838\pi\) | |||||||
\(212\) | 6.53582 | + | 3.77346i | 0.448882 | + | 0.259162i | ||||
\(213\) | −3.90166 | + | 0.249004i | −0.267338 | + | 0.0170615i | ||||
\(214\) | −5.32555 | − | 9.22412i | −0.364047 | − | 0.630548i | ||||
\(215\) | 15.5187 | − | 26.8793i | 1.05837 | − | 1.83315i | ||||
\(216\) | 5.10146 | − | 0.987464i | 0.347111 | − | 0.0671884i | ||||
\(217\) | −6.25773 | − | 13.5067i | −0.424802 | − | 0.916898i | ||||
\(218\) | 3.11878i | 0.211231i | ||||||||
\(219\) | −0.555438 | − | 0.834368i | −0.0375330 | − | 0.0563813i | ||||
\(220\) | 14.3503 | − | 8.28512i | 0.967494 | − | 0.558583i | ||||
\(221\) | −1.03680 | + | 0.598594i | −0.0697424 | + | 0.0402658i | ||||
\(222\) | −9.15345 | − | 13.7501i | −0.614339 | − | 0.922849i | ||||
\(223\) | − | 8.20541i | − | 0.549475i | −0.961519 | − | 0.274737i | \(-0.911409\pi\) | ||
0.961519 | − | 0.274737i | \(-0.0885909\pi\) | |||||||
\(224\) | 1.11222 | + | 2.40062i | 0.0743131 | + | 0.160398i | ||||
\(225\) | 7.46955 | + | 9.80401i | 0.497970 | + | 0.653601i | ||||
\(226\) | 7.03622 | − | 12.1871i | 0.468043 | − | 0.810673i | ||||
\(227\) | 2.10721 | + | 3.64980i | 0.139861 | + | 0.242246i | 0.927444 | − | 0.373963i | \(-0.122001\pi\) |
−0.787583 | + | 0.616208i | \(0.788668\pi\) | |||||||
\(228\) | −10.9596 | + | 0.699441i | −0.725818 | + | 0.0463216i | ||||
\(229\) | 5.64747 | + | 3.26057i | 0.373196 | + | 0.215465i | 0.674854 | − | 0.737952i | \(-0.264207\pi\) |
−0.301658 | + | 0.953416i | \(0.597540\pi\) | |||||||
\(230\) | −11.2519 | −0.741929 | ||||||||
\(231\) | −22.1092 | + | 12.0094i | −1.45468 | + | 0.790160i | ||||
\(232\) | −2.12546 | −0.139543 | ||||||||
\(233\) | −14.8550 | − | 8.57656i | −0.973186 | − | 0.561869i | −0.0729798 | − | 0.997333i | \(-0.523251\pi\) |
−0.900206 | + | 0.435464i | \(0.856584\pi\) | |||||||
\(234\) | −1.15756 | + | 2.76768i | −0.0756719 | + | 0.180929i | ||||
\(235\) | −11.7637 | − | 20.3753i | −0.767380 | − | 1.32914i | ||||
\(236\) | −2.06202 | + | 3.57153i | −0.134226 | + | 0.232487i | ||||
\(237\) | 2.01536 | + | 0.998171i | 0.130912 | + | 0.0648382i | ||||
\(238\) | −3.15472 | − | 0.283855i | −0.204490 | − | 0.0183996i | ||||
\(239\) | 15.6348i | 1.01133i | 0.862730 | + | 0.505664i | \(0.168753\pi\) | ||||
−0.862730 | + | 0.505664i | \(0.831247\pi\) | |||||||
\(240\) | 4.35137 | − | 2.89670i | 0.280880 | − | 0.186981i | ||||
\(241\) | 12.6334 | − | 7.29387i | 0.813786 | − | 0.469840i | −0.0344827 | − | 0.999405i | \(-0.510978\pi\) |
0.848269 | + | 0.529566i | \(0.177645\pi\) | |||||||
\(242\) | 16.5800 | − | 9.57246i | 1.06580 | − | 0.615341i | ||||
\(243\) | 4.88388 | + | 14.8036i | 0.313301 | + | 0.949654i | ||||
\(244\) | 9.53971i | 0.610717i | ||||||||
\(245\) | 13.6594 | − | 16.1163i | 0.872666 | − | 1.02963i | ||||
\(246\) | −3.27819 | + | 6.61884i | −0.209009 | + | 0.422002i | ||||
\(247\) | 3.17020 | − | 5.49095i | 0.201715 | − | 0.349381i | ||||
\(248\) | 2.81318 | + | 4.87257i | 0.178637 | + | 0.309408i | ||||
\(249\) | 1.26845 | + | 19.8755i | 0.0803850 | + | 1.25956i | ||||
\(250\) | −2.33028 | − | 1.34539i | −0.147380 | − | 0.0850897i | ||||
\(251\) | 25.7693 | 1.62654 | 0.813272 | − | 0.581884i | \(-0.197684\pi\) | ||||
0.813272 | + | 0.581884i | \(0.197684\pi\) | |||||||
\(252\) | −6.71927 | + | 4.22510i | −0.423274 | + | 0.266156i | ||||
\(253\) | −20.4697 | −1.28692 | ||||||||
\(254\) | −5.16871 | − | 2.98416i | −0.324314 | − | 0.187243i | ||||
\(255\) | 0.398583 | + | 6.24543i | 0.0249602 | + | 0.391104i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 2.76476 | − | 4.78871i | 0.172461 | − | 0.298711i | −0.766819 | − | 0.641864i | \(-0.778161\pi\) |
0.939280 | + | 0.343153i | \(0.111495\pi\) | |||||||
\(258\) | 7.90569 | − | 15.9620i | 0.492187 | − | 0.993752i | ||||
\(259\) | 20.6330 | + | 14.5235i | 1.28208 | + | 0.902446i | ||||
\(260\) | 3.01802i | 0.187170i | ||||||||
\(261\) | −0.810577 | − | 6.32464i | −0.0501735 | − | 0.391485i | ||||
\(262\) | −12.7746 | + | 7.37542i | −0.789217 | + | 0.455655i | ||||
\(263\) | −20.3542 | + | 11.7515i | −1.25510 | + | 0.724630i | −0.972117 | − | 0.234495i | \(-0.924656\pi\) |
−0.282980 | + | 0.959126i | \(0.591323\pi\) | |||||||
\(264\) | 7.91610 | − | 5.26974i | 0.487202 | − | 0.324330i | ||||
\(265\) | 22.7767i | 1.39916i | ||||||||
\(266\) | 15.2209 | − | 7.05190i | 0.933253 | − | 0.432380i | ||||
\(267\) | 8.54204 | + | 4.23071i | 0.522764 | + | 0.258915i | ||||
\(268\) | −4.97378 | + | 8.61485i | −0.303822 | + | 0.526236i | ||||
\(269\) | 2.68200 | + | 4.64535i | 0.163524 | + | 0.283232i | 0.936130 | − | 0.351654i | \(-0.114380\pi\) |
−0.772606 | + | 0.634886i | \(0.781047\pi\) | |||||||
\(270\) | 10.2791 | + | 11.8435i | 0.625564 | + | 0.720772i | ||||
\(271\) | −11.9719 | − | 6.91197i | −0.727241 | − | 0.419873i | 0.0901713 | − | 0.995926i | \(-0.471259\pi\) |
−0.817412 | + | 0.576054i | \(0.804592\pi\) | |||||||
\(272\) | 1.19719 | 0.0725902 | ||||||||
\(273\) | 0.119147 | − | 4.58103i | 0.00721111 | − | 0.277256i | ||||
\(274\) | 4.13781 | 0.249974 | ||||||||
\(275\) | 19.5350 | + | 11.2785i | 1.17801 | + | 0.680122i | ||||
\(276\) | −6.44440 | + | 0.411281i | −0.387907 | + | 0.0247562i | ||||
\(277\) | −12.4960 | − | 21.6437i | −0.750813 | − | 1.30045i | −0.947429 | − | 0.319965i | \(-0.896329\pi\) |
0.196617 | − | 0.980480i | \(-0.437005\pi\) | |||||||
\(278\) | −3.32438 | + | 5.75800i | −0.199383 | + | 0.345342i | ||||
\(279\) | −13.4263 | + | 10.2293i | −0.803809 | + | 0.612412i | ||||
\(280\) | −4.59611 | + | 6.52953i | −0.274670 | + | 0.390214i | ||||
\(281\) | − | 17.2873i | − | 1.03127i | −0.856807 | − | 0.515637i | \(-0.827555\pi\) | ||
0.856807 | − | 0.515637i | \(-0.172445\pi\) | |||||||
\(282\) | −7.48229 | − | 11.2397i | −0.445564 | − | 0.669317i | ||||
\(283\) | −7.72002 | + | 4.45715i | −0.458907 | + | 0.264950i | −0.711585 | − | 0.702600i | \(-0.752022\pi\) |
0.252677 | + | 0.967551i | \(0.418689\pi\) | |||||||
\(284\) | −1.95480 | + | 1.12860i | −0.115996 | + | 0.0669704i | ||||
\(285\) | −18.3663 | − | 27.5894i | −1.08792 | − | 1.63426i | ||||
\(286\) | 5.49044i | 0.324656i | ||||||||
\(287\) | 1.01110 | − | 11.2372i | 0.0596833 | − | 0.663309i | ||||
\(288\) | 2.38632 | − | 1.81810i | 0.140615 | − | 0.107133i | ||||
\(289\) | 7.78337 | − | 13.4812i | 0.457845 | − | 0.793011i | ||||
\(290\) | −3.20733 | − | 5.55526i | −0.188341 | − | 0.326216i | ||||
\(291\) | 16.5791 | − | 1.05808i | 0.971885 | − | 0.0620256i | ||||
\(292\) | −0.501169 | − | 0.289350i | −0.0293287 | − | 0.0169329i | ||||
\(293\) | −6.07556 | −0.354938 | −0.177469 | − | 0.984126i | \(-0.556791\pi\) | ||||
−0.177469 | + | 0.984126i | \(0.556791\pi\) | |||||||
\(294\) | 7.23417 | − | 9.72968i | 0.421905 | − | 0.567447i | ||||
\(295\) | −12.4464 | −0.724659 | ||||||||
\(296\) | −8.25912 | − | 4.76840i | −0.480051 | − | 0.277158i | ||||
\(297\) | 18.6999 | + | 21.5459i | 1.08508 | + | 1.25022i | ||||
\(298\) | 9.05107 | + | 15.6769i | 0.524314 | + | 0.908139i | ||||
\(299\) | 1.86412 | − | 3.22876i | 0.107805 | − | 0.186724i | ||||
\(300\) | 6.37674 | + | 3.15828i | 0.368161 | + | 0.182343i | ||||
\(301\) | −2.43837 | + | 27.0996i | −0.140545 | + | 1.56200i | ||||
\(302\) | 6.14010i | 0.353323i | ||||||||
\(303\) | 21.8615 | − | 14.5532i | 1.25591 | − | 0.836059i | ||||
\(304\) | −5.49095 | + | 3.17020i | −0.314928 | + | 0.181824i | ||||
\(305\) | −24.9337 | + | 14.3955i | −1.42770 | + | 0.824284i | ||||
\(306\) | 0.456567 | + | 3.56243i | 0.0261002 | + | 0.203650i | ||||
\(307\) | − | 12.9033i | − | 0.736433i | −0.929740 | − | 0.368216i | \(-0.879969\pi\) | ||
0.929740 | − | 0.368216i | \(-0.120031\pi\) | |||||||
\(308\) | −8.36133 | + | 11.8787i | −0.476431 | + | 0.676850i | ||||
\(309\) | −14.9676 | + | 30.2204i | −0.851476 | + | 1.71918i | ||||
\(310\) | −8.49022 | + | 14.7055i | −0.482212 | + | 0.835216i | ||||
\(311\) | 0.892751 | + | 1.54629i | 0.0506233 | + | 0.0876821i | 0.890227 | − | 0.455518i | \(-0.150546\pi\) |
−0.839603 | + | 0.543200i | \(0.817213\pi\) | |||||||
\(312\) | 0.110315 | + | 1.72853i | 0.00624535 | + | 0.0978590i | ||||
\(313\) | 8.90124 | + | 5.13913i | 0.503128 | + | 0.290481i | 0.730004 | − | 0.683442i | \(-0.239518\pi\) |
−0.226876 | + | 0.973924i | \(0.572851\pi\) | |||||||
\(314\) | 9.88865 | 0.558049 | ||||||||
\(315\) | −21.1825 | − | 11.1863i | −1.19350 | − | 0.630277i | ||||
\(316\) | 1.29846 | 0.0730443 | ||||||||
\(317\) | −23.6484 | − | 13.6534i | −1.32822 | − | 0.766850i | −0.343199 | − | 0.939263i | \(-0.611511\pi\) |
−0.985025 | + | 0.172412i | \(0.944844\pi\) | |||||||
\(318\) | 0.832537 | + | 13.0451i | 0.0466864 | + | 0.731533i | ||||
\(319\) | −5.83485 | − | 10.1063i | −0.326689 | − | 0.565841i | ||||
\(320\) | 1.50901 | − | 2.61368i | 0.0843562 | − | 0.146109i | ||||
\(321\) | 8.18784 | − | 16.5317i | 0.457001 | − | 0.922710i | ||||
\(322\) | 8.95010 | − | 4.14662i | 0.498770 | − | 0.231082i | ||||
\(323\) | − | 7.59066i | − | 0.422355i | ||||||
\(324\) | 6.32012 | + | 6.40750i | 0.351118 | + | 0.355972i | ||||
\(325\) | −3.55800 | + | 2.05422i | −0.197363 | + | 0.113947i | ||||
\(326\) | 10.9299 | − | 6.31039i | 0.605352 | − | 0.349500i | ||||
\(327\) | −4.49665 | + | 2.99342i | −0.248665 | + | 0.165536i | ||||
\(328\) | 4.26441i | 0.235463i | ||||||||
\(329\) | 16.8660 | + | 11.8719i | 0.929854 | + | 0.654520i | ||||
\(330\) | 25.7189 | + | 12.7381i | 1.41578 | + | 0.701208i | ||||
\(331\) | −4.03642 | + | 6.99129i | −0.221862 | + | 0.384276i | −0.955373 | − | 0.295401i | \(-0.904547\pi\) |
0.733512 | + | 0.679677i | \(0.237880\pi\) | |||||||
\(332\) | 5.74924 | + | 9.95798i | 0.315531 | + | 0.546515i | ||||
\(333\) | 11.0394 | − | 26.3948i | 0.604956 | − | 1.44643i | ||||
\(334\) | −6.95246 | − | 4.01401i | −0.380422 | − | 0.219637i | ||||
\(335\) | −30.0219 | −1.64027 | ||||||||
\(336\) | −2.39370 | + | 3.90771i | −0.130587 | + | 0.213183i | ||||
\(337\) | −16.1292 | −0.878615 | −0.439307 | − | 0.898337i | \(-0.644776\pi\) | ||||
−0.439307 | + | 0.898337i | \(0.644776\pi\) | |||||||
\(338\) | −0.866025 | − | 0.500000i | −0.0471056 | − | 0.0271964i | ||||
\(339\) | 24.3247 | − | 1.55240i | 1.32114 | − | 0.0843148i | ||||
\(340\) | 1.80657 | + | 3.12907i | 0.0979749 | + | 0.169697i | ||||
\(341\) | −15.4456 | + | 26.7525i | −0.836426 | + | 1.44873i | ||||
\(342\) | −11.5275 | − | 15.1302i | −0.623336 | − | 0.818148i | ||||
\(343\) | −4.92582 | + | 17.8532i | −0.265969 | + | 0.963981i | ||||
\(344\) | − | 10.2841i | − | 0.554480i | ||||||
\(345\) | −10.7996 | − | 16.2230i | −0.581432 | − | 0.873416i | ||||
\(346\) | 7.70658 | − | 4.44940i | 0.414308 | − | 0.239201i | ||||
\(347\) | −8.89289 | + | 5.13431i | −0.477395 | + | 0.275624i | −0.719330 | − | 0.694668i | \(-0.755551\pi\) |
0.241935 | + | 0.970292i | \(0.422218\pi\) | |||||||
\(348\) | −2.04002 | − | 3.06448i | −0.109357 | − | 0.164273i | ||||
\(349\) | 26.9284i | 1.44144i | 0.693224 | + | 0.720722i | \(0.256189\pi\) | ||||
−0.693224 | + | 0.720722i | \(0.743811\pi\) | |||||||
\(350\) | −10.8261 | − | 0.974116i | −0.578682 | − | 0.0520687i | ||||
\(351\) | −5.10146 | + | 0.987464i | −0.272296 | + | 0.0527069i | ||||
\(352\) | 2.74522 | − | 4.75486i | 0.146321 | − | 0.253435i | ||||
\(353\) | −2.08391 | − | 3.60944i | −0.110915 | − | 0.192111i | 0.805224 | − | 0.592971i | \(-0.202045\pi\) |
−0.916140 | + | 0.400859i | \(0.868712\pi\) | |||||||
\(354\) | −7.12855 | + | 0.454943i | −0.378878 | + | 0.0241800i | ||||
\(355\) | −5.89962 | − | 3.40615i | −0.313119 | − | 0.180780i | ||||
\(356\) | 5.50349 | 0.291685 | ||||||||
\(357\) | −2.61864 | − | 4.82091i | −0.138593 | − | 0.255149i | ||||
\(358\) | 18.3444 | 0.969531 | ||||||||
\(359\) | −11.1296 | − | 6.42566i | −0.587396 | − | 0.339134i | 0.176671 | − | 0.984270i | \(-0.443467\pi\) |
−0.764067 | + | 0.645136i | \(0.776801\pi\) | |||||||
\(360\) | 8.35291 | + | 3.49353i | 0.440237 | + | 0.184125i | ||||
\(361\) | 10.6004 | + | 18.3604i | 0.557914 | + | 0.966335i | ||||
\(362\) | 8.97866 | − | 15.5515i | 0.471908 | − | 0.817368i | ||||
\(363\) | 29.7151 | + | 14.7173i | 1.55964 | + | 0.772458i | ||||
\(364\) | −1.11222 | − | 2.40062i | −0.0582960 | − | 0.125827i | ||||
\(365\) | − | 1.74653i | − | 0.0914174i | ||||||
\(366\) | −13.7543 | + | 9.15623i | −0.718950 | + | 0.478604i | ||||
\(367\) | 29.9194 | − | 17.2740i | 1.56178 | − | 0.901693i | 0.564701 | − | 0.825295i | \(-0.308991\pi\) |
0.997077 | − | 0.0763982i | \(-0.0243420\pi\) | |||||||
\(368\) | −3.22876 | + | 1.86412i | −0.168311 | + | 0.0971742i | ||||
\(369\) | −12.6894 | + | 1.62630i | −0.660586 | + | 0.0846619i | ||||
\(370\) | − | 28.7822i | − | 1.49632i | ||||||
\(371\) | −8.39381 | − | 18.1173i | −0.435785 | − | 0.940602i | ||||
\(372\) | −4.32516 | + | 8.73274i | −0.224249 | + | 0.452771i | ||||
\(373\) | 6.44752 | − | 11.1674i | 0.333840 | − | 0.578228i | −0.649421 | − | 0.760429i | \(-0.724989\pi\) |
0.983261 | + | 0.182201i | \(0.0583221\pi\) | |||||||
\(374\) | 3.28654 | + | 5.69246i | 0.169943 | + | 0.294350i | ||||
\(375\) | −0.296832 | − | 4.65109i | −0.0153284 | − | 0.240181i | ||||
\(376\) | −6.75123 | − | 3.89783i | −0.348168 | − | 0.201015i | ||||
\(377\) | 2.12546 | 0.109467 | ||||||||
\(378\) | −12.5409 | − | 5.63256i | −0.645034 | − | 0.289708i | ||||
\(379\) | 5.03047 | 0.258398 | 0.129199 | − | 0.991619i | \(-0.458759\pi\) | ||||
0.129199 | + | 0.991619i | \(0.458759\pi\) | |||||||
\(380\) | −16.5718 | − | 9.56773i | −0.850115 | − | 0.490814i | ||||
\(381\) | −0.658394 | − | 10.3164i | −0.0337305 | − | 0.528527i | ||||
\(382\) | −0.271932 | − | 0.471000i | −0.0139132 | − | 0.0240984i | ||||
\(383\) | 5.50293 | − | 9.53136i | 0.281187 | − | 0.487030i | −0.690491 | − | 0.723341i | \(-0.742605\pi\) |
0.971677 | + | 0.236312i | \(0.0759387\pi\) | |||||||
\(384\) | 0.768732 | − | 1.55211i | 0.0392292 | − | 0.0792059i | ||||
\(385\) | −43.6643 | − | 3.92883i | −2.22534 | − | 0.200232i | ||||
\(386\) | 13.7110i | 0.697870i | ||||||||
\(387\) | 30.6019 | − | 3.92200i | 1.55558 | − | 0.199366i | ||||
\(388\) | 8.30642 | − | 4.79571i | 0.421695 | − | 0.243466i | ||||
\(389\) | −16.2200 | + | 9.36461i | −0.822385 | + | 0.474804i | −0.851238 | − | 0.524779i | \(-0.824148\pi\) |
0.0288530 | + | 0.999584i | \(0.490815\pi\) | |||||||
\(390\) | −4.35137 | + | 2.89670i | −0.220340 | + | 0.146680i | ||||
\(391\) | − | 4.46341i | − | 0.225724i | ||||||
\(392\) | 1.24958 | − | 6.88757i | 0.0631131 | − | 0.347875i | ||||
\(393\) | −22.8949 | − | 11.3394i | −1.15490 | − | 0.571999i | ||||
\(394\) | −1.77405 | + | 3.07275i | −0.0893755 | + | 0.154803i | ||||
\(395\) | 1.95939 | + | 3.39377i | 0.0985878 | + | 0.170759i | ||||
\(396\) | 15.1958 | + | 6.35550i | 0.763617 | + | 0.319376i | ||||
\(397\) | −10.2811 | − | 5.93579i | −0.515993 | − | 0.297909i | 0.219300 | − | 0.975657i | \(-0.429623\pi\) |
−0.735294 | + | 0.677748i | \(0.762956\pi\) | |||||||
\(398\) | −20.7778 | −1.04150 | ||||||||
\(399\) | 24.7765 | + | 15.1770i | 1.24038 | + | 0.759801i | ||||
\(400\) | 4.10843 | 0.205422 | ||||||||
\(401\) | 17.6755 | + | 10.2050i | 0.882673 | + | 0.509612i | 0.871539 | − | 0.490326i | \(-0.163122\pi\) |
0.0111344 | + | 0.999938i | \(0.496456\pi\) | |||||||
\(402\) | −17.1947 | + | 1.09737i | −0.857594 | + | 0.0547316i | ||||
\(403\) | −2.81318 | − | 4.87257i | −0.140134 | − | 0.242720i | ||||
\(404\) | 7.58135 | − | 13.1313i | 0.377186 | − | 0.653305i | ||||
\(405\) | −7.21004 | + | 26.1877i | −0.358270 | + | 1.30128i | ||||
\(406\) | 4.59846 | + | 3.23684i | 0.228218 | + | 0.160641i | ||||
\(407\) | − | 52.3613i | − | 2.59545i | ||||||
\(408\) | 1.14906 | + | 1.72610i | 0.0568872 | + | 0.0854548i | ||||
\(409\) | 3.11673 | − | 1.79944i | 0.154112 | − | 0.0889767i | −0.420961 | − | 0.907079i | \(-0.638307\pi\) |
0.575073 | + | 0.818102i | \(0.304974\pi\) | |||||||
\(410\) | −11.1458 | + | 6.43503i | −0.550452 | + | 0.317803i | ||||
\(411\) | 3.97148 | + | 5.96588i | 0.195899 | + | 0.294275i | ||||
\(412\) | 19.4705i | 0.959242i | ||||||||
\(413\) | 9.90026 | − | 4.58683i | 0.487160 | − | 0.225703i | ||||
\(414\) | −6.77834 | − | 8.89677i | −0.333137 | − | 0.437252i | ||||
\(415\) | −17.3513 | + | 30.0533i | −0.851742 | + | 1.47526i | ||||
\(416\) | 0.500000 | + | 0.866025i | 0.0245145 | + | 0.0424604i | ||||
\(417\) | −11.4926 | + | 0.733458i | −0.562796 | + | 0.0359176i | ||||
\(418\) | −30.1477 | − | 17.4058i | −1.47457 | − | 0.851346i | ||||
\(419\) | 11.3462 | 0.554298 | 0.277149 | − | 0.960827i | \(-0.410610\pi\) | ||||
0.277149 | + | 0.960827i | \(0.410610\pi\) | |||||||
\(420\) | −13.8256 | − | 0.359588i | −0.674621 | − | 0.0175461i | ||||
\(421\) | 3.89654 | 0.189906 | 0.0949529 | − | 0.995482i | \(-0.469730\pi\) | ||||
0.0949529 | + | 0.995482i | \(0.469730\pi\) | |||||||
\(422\) | −6.01455 | − | 3.47250i | −0.292784 | − | 0.169039i | ||||
\(423\) | 9.02392 | − | 21.5759i | 0.438758 | − | 1.04906i | ||||
\(424\) | 3.77346 | + | 6.53582i | 0.183255 | + | 0.317408i | ||||
\(425\) | −2.45928 | + | 4.25960i | −0.119293 | + | 0.206621i | ||||
\(426\) | −3.50344 | − | 1.73519i | −0.169742 | − | 0.0840701i | ||||
\(427\) | 14.5279 | − | 20.6393i | 0.703055 | − | 0.998807i | ||||
\(428\) | − | 10.6511i | − | 0.514840i | ||||||
\(429\) | −7.91610 | + | 5.26974i | −0.382193 | + | 0.254425i | ||||
\(430\) | 26.8793 | − | 15.5187i | 1.29623 | − | 0.748380i | ||||
\(431\) | −24.3157 | + | 14.0387i | −1.17125 | + | 0.676220i | −0.953973 | − | 0.299891i | \(-0.903050\pi\) |
−0.217274 | + | 0.976111i | \(0.569716\pi\) | |||||||
\(432\) | 4.91173 | + | 1.69556i | 0.236316 | + | 0.0815778i | ||||
\(433\) | 8.12334i | 0.390383i | 0.980765 | + | 0.195191i | \(0.0625328\pi\) | ||||
−0.980765 | + | 0.195191i | \(0.937467\pi\) | |||||||
\(434\) | 1.33402 | − | 14.8260i | 0.0640350 | − | 0.711673i | ||||
\(435\) | 4.93116 | − | 9.95628i | 0.236431 | − | 0.477367i | ||||
\(436\) | −1.55939 | + | 2.70095i | −0.0746813 | + | 0.129352i | ||||
\(437\) | 11.8193 | + | 20.4716i | 0.565394 | + | 0.979291i | ||||
\(438\) | −0.0638392 | − | 1.00030i | −0.00305036 | − | 0.0477963i | ||||
\(439\) | 31.4473 | + | 18.1561i | 1.50090 | + | 0.866542i | 0.999999 | + | 0.00103502i | \(0.000329456\pi\) |
0.500896 | + | 0.865507i | \(0.333004\pi\) | |||||||
\(440\) | 16.5702 | 0.789955 | ||||||||
\(441\) | 20.9716 | + | 1.09163i | 0.998648 | + | 0.0519825i | ||||
\(442\) | −1.19719 | −0.0569444 | ||||||||
\(443\) | −14.3748 | − | 8.29928i | −0.682966 | − | 0.394311i | 0.118005 | − | 0.993013i | \(-0.462350\pi\) |
−0.800972 | + | 0.598702i | \(0.795683\pi\) | |||||||
\(444\) | −1.05205 | − | 16.4847i | −0.0499282 | − | 0.782329i | ||||
\(445\) | 8.30482 | + | 14.3844i | 0.393686 | + | 0.681884i | ||||
\(446\) | 4.10270 | − | 7.10609i | 0.194269 | − | 0.336483i | ||||
\(447\) | −13.9157 | + | 28.0965i | −0.658189 | + | 1.32892i | ||||
\(448\) | −0.237102 | + | 2.63511i | −0.0112020 | + | 0.124497i | ||||
\(449\) | − | 16.4761i | − | 0.777553i | −0.921332 | − | 0.388776i | \(-0.872898\pi\) | ||
0.921332 | − | 0.388776i | \(-0.127102\pi\) | |||||||
\(450\) | 1.56682 | + | 12.2253i | 0.0738604 | + | 0.576306i | ||||
\(451\) | −20.2767 | + | 11.7067i | −0.954791 | + | 0.551249i | ||||
\(452\) | 12.1871 | − | 7.03622i | 0.573233 | − | 0.330956i | ||||
\(453\) | −8.85277 | + | 5.89328i | −0.415940 | + | 0.276890i | ||||
\(454\) | 4.21442i | 0.197793i | ||||||||
\(455\) | 4.59611 | − | 6.52953i | 0.215469 | − | 0.306109i | ||||
\(456\) | −9.84102 | − | 4.87407i | −0.460848 | − | 0.228249i | ||||
\(457\) | 6.09451 | − | 10.5560i | 0.285089 | − | 0.493789i | −0.687542 | − | 0.726145i | \(-0.741310\pi\) |
0.972631 | + | 0.232356i | \(0.0746434\pi\) | |||||||
\(458\) | 3.26057 | + | 5.64747i | 0.152356 | + | 0.263889i | ||||
\(459\) | −4.69808 | + | 4.07750i | −0.219288 | + | 0.190322i | ||||
\(460\) | −9.74444 | − | 5.62596i | −0.454337 | − | 0.262312i | ||||
\(461\) | −25.6242 | −1.19344 | −0.596720 | − | 0.802450i | \(-0.703530\pi\) | ||||
−0.596720 | + | 0.802450i | \(0.703530\pi\) | |||||||
\(462\) | −25.1518 | − | 0.654170i | −1.17017 | − | 0.0304347i | ||||
\(463\) | 28.9883 | 1.34720 | 0.673601 | − | 0.739095i | \(-0.264746\pi\) | ||||
0.673601 | + | 0.739095i | \(0.264746\pi\) | |||||||
\(464\) | −1.84070 | − | 1.06273i | −0.0854523 | − | 0.0493359i | ||||
\(465\) | −29.3513 | + | 1.87320i | −1.36113 | + | 0.0868674i | ||||
\(466\) | −8.57656 | − | 14.8550i | −0.397301 | − | 0.688146i | ||||
\(467\) | 3.72197 | − | 6.44665i | 0.172232 | − | 0.298315i | −0.766968 | − | 0.641686i | \(-0.778235\pi\) |
0.939200 | + | 0.343371i | \(0.111569\pi\) | |||||||
\(468\) | −2.38632 | + | 1.81810i | −0.110307 | + | 0.0840419i | ||||
\(469\) | 23.8803 | − | 11.0639i | 1.10269 | − | 0.510881i | ||||
\(470\) | − | 23.5274i | − | 1.08524i | ||||||
\(471\) | 9.49115 | + | 14.2574i | 0.437329 | + | 0.656947i | ||||
\(472\) | −3.57153 | + | 2.06202i | −0.164393 | + | 0.0949122i | ||||
\(473\) | 48.8993 | − | 28.2320i | 2.24839 | − | 1.29811i | ||||
\(474\) | 1.24627 | + | 1.87212i | 0.0572431 | + | 0.0859894i | ||||
\(475\) | − | 26.0491i | − | 1.19522i | ||||||
\(476\) | −2.59014 | − | 1.82318i | −0.118719 | − | 0.0835655i | ||||
\(477\) | −18.0093 | + | 13.7211i | −0.824590 | + | 0.628245i | ||||
\(478\) | −7.81738 | + | 13.5401i | −0.357559 | + | 0.619310i | ||||
\(479\) | 14.8260 | + | 25.6793i | 0.677416 | + | 1.17332i | 0.975756 | + | 0.218859i | \(0.0702336\pi\) |
−0.298340 | + | 0.954460i | \(0.596433\pi\) | |||||||
\(480\) | 5.21675 | − | 0.332932i | 0.238111 | − | 0.0151962i | ||||
\(481\) | 8.25912 | + | 4.76840i | 0.376583 | + | 0.217420i | ||||
\(482\) | 14.5877 | 0.664454 | ||||||||
\(483\) | 14.5689 | + | 8.92430i | 0.662909 | + | 0.406070i | ||||
\(484\) | 19.1449 | 0.870224 | ||||||||
\(485\) | 25.0689 | + | 14.4736i | 1.13832 | + | 0.657210i | ||||
\(486\) | −3.17225 | + | 15.2623i | −0.143896 | + | 0.692311i | ||||
\(487\) | 15.0024 | + | 25.9849i | 0.679823 | + | 1.17749i | 0.975034 | + | 0.222056i | \(0.0712769\pi\) |
−0.295210 | + | 0.955432i | \(0.595390\pi\) | |||||||
\(488\) | −4.76985 | + | 8.26163i | −0.215921 | + | 0.373986i | ||||
\(489\) | 19.5889 | + | 9.70199i | 0.885839 | + | 0.438739i | ||||
\(490\) | 19.8875 | − | 7.12740i | 0.898426 | − | 0.321983i | ||||
\(491\) | − | 2.20851i | − | 0.0996688i | −0.998757 | − | 0.0498344i | \(-0.984131\pi\) | ||
0.998757 | − | 0.0498344i | \(-0.0158694\pi\) | |||||||
\(492\) | −6.14841 | + | 4.09299i | −0.277192 | + | 0.184526i | ||||
\(493\) | 2.20366 | − | 1.27229i | 0.0992480 | − | 0.0573009i | ||||
\(494\) | 5.49095 | − | 3.17020i | 0.247050 | − | 0.142634i | ||||
\(495\) | 6.31933 | + | 49.3074i | 0.284033 | + | 2.21620i | ||||
\(496\) | 5.62636i | 0.252631i | ||||||||
\(497\) | 5.94799 | + | 0.535188i | 0.266804 | + | 0.0240065i | ||||
\(498\) | −8.83924 | + | 17.8469i | −0.396096 | + | 0.799740i | ||||
\(499\) | −15.3354 | + | 26.5618i | −0.686508 | + | 1.18907i | 0.286452 | + | 0.958095i | \(0.407524\pi\) |
−0.972960 | + | 0.230973i | \(0.925809\pi\) | |||||||
\(500\) | −1.34539 | − | 2.33028i | −0.0601675 | − | 0.104213i | ||||
\(501\) | −0.885609 | − | 13.8767i | −0.0395661 | − | 0.619965i | ||||
\(502\) | 22.3169 | + | 12.8846i | 0.996050 | + | 0.575070i | ||||
\(503\) | 5.85678 | 0.261141 | 0.130570 | − | 0.991439i | \(-0.458319\pi\) | ||||
0.130570 | + | 0.991439i | \(0.458319\pi\) | |||||||
\(504\) | −7.93160 | + | 0.299406i | −0.353302 | + | 0.0133366i | ||||
\(505\) | 45.7613 | 2.03635 | ||||||||
\(506\) | −17.7273 | − | 10.2349i | −0.788074 | − | 0.454995i | ||||
\(507\) | −0.110315 | − | 1.72853i | −0.00489926 | − | 0.0767669i | ||||
\(508\) | −2.98416 | − | 5.16871i | −0.132401 | − | 0.229324i | ||||
\(509\) | 10.6895 | − | 18.5147i | 0.473802 | − | 0.820649i | −0.525748 | − | 0.850640i | \(-0.676215\pi\) |
0.999550 | + | 0.0299913i | \(0.00954794\pi\) | |||||||
\(510\) | −2.77753 | + | 5.60799i | −0.122991 | + | 0.248326i | ||||
\(511\) | 0.643640 | + | 1.38924i | 0.0284729 | + | 0.0614563i | ||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | 10.7505 | − | 31.1423i | 0.474648 | − | 1.37497i | ||||
\(514\) | 4.78871 | − | 2.76476i | 0.211221 | − | 0.121948i | ||||
\(515\) | −50.8896 | + | 29.3811i | −2.24246 | + | 1.29469i | ||||
\(516\) | 14.8275 | − | 9.87067i | 0.652746 | − | 0.434532i | ||||
\(517\) | − | 42.8016i | − | 1.88241i | ||||||
\(518\) | 10.6070 | + | 22.8942i | 0.466045 | + | 1.00592i | ||||
\(519\) | 13.8119 | + | 6.84078i | 0.606276 | + | 0.300277i | ||||
\(520\) | −1.50901 | + | 2.61368i | −0.0661744 | + | 0.114617i | ||||
\(521\) | 2.53028 | + | 4.38257i | 0.110854 | + | 0.192004i | 0.916115 | − | 0.400916i | \(-0.131308\pi\) |
−0.805261 | + | 0.592920i | \(0.797975\pi\) | |||||||
\(522\) | 2.46034 | − | 5.88259i | 0.107686 | − | 0.257474i | ||||
\(523\) | −3.78175 | − | 2.18339i | −0.165364 | − | 0.0954731i | 0.415034 | − | 0.909806i | \(-0.363770\pi\) |
−0.580398 | + | 0.814333i | \(0.697103\pi\) | |||||||
\(524\) | −14.7508 | −0.644393 | ||||||||
\(525\) | −8.98649 | − | 16.5441i | −0.392202 | − | 0.722042i | ||||
\(526\) | −23.5031 | −1.02478 | ||||||||
\(527\) | −5.83338 | − | 3.36790i | −0.254106 | − | 0.146708i | ||||
\(528\) | 9.49041 | − | 0.605677i | 0.413017 | − | 0.0263587i | ||||
\(529\) | −4.55009 | − | 7.88098i | −0.197830 | − | 0.342651i | ||||
\(530\) | −11.3884 | + | 19.7252i | −0.494679 | + | 0.856809i | ||||
\(531\) | −7.49794 | − | 9.84126i | −0.325383 | − | 0.427075i | ||||
\(532\) | 16.7076 | + | 1.50332i | 0.724368 | + | 0.0651772i | ||||
\(533\) | − | 4.26441i | − | 0.184712i | ||||||
\(534\) | 5.28227 | + | 7.93492i | 0.228586 | + | 0.343378i | ||||
\(535\) | 27.8386 | − | 16.0726i | 1.20357 | − | 0.694879i | ||||
\(536\) | −8.61485 | + | 4.97378i | −0.372105 | + | 0.214835i | ||||
\(537\) | 17.6070 | + | 26.4489i | 0.759797 | + | 1.14135i | ||||
\(538\) | 5.36399i | 0.231258i | ||||||||
\(539\) | 36.1798 | − | 12.9663i | 1.55837 | − | 0.558499i | ||||
\(540\) | 2.98018 | + | 15.3963i | 0.128247 | + | 0.662551i | ||||
\(541\) | −20.5901 | + | 35.6631i | −0.885237 | + | 1.53327i | −0.0397943 | + | 0.999208i | \(0.512670\pi\) |
−0.845442 | + | 0.534067i | \(0.820663\pi\) | |||||||
\(542\) | −6.91197 | − | 11.9719i | −0.296895 | − | 0.514237i | ||||
\(543\) | 31.0398 | − | 1.98096i | 1.33205 | − | 0.0850111i | ||||
\(544\) | 1.03680 | + | 0.598594i | 0.0444522 | + | 0.0256645i | ||||
\(545\) | −9.41254 | −0.403189 | ||||||||
\(546\) | 2.39370 | − | 3.90771i | 0.102441 | − | 0.167235i | ||||
\(547\) | 24.8814 | 1.06385 | 0.531927 | − | 0.846790i | \(-0.321468\pi\) | ||||
0.531927 | + | 0.846790i | \(0.321468\pi\) | |||||||
\(548\) | 3.58345 | + | 2.06890i | 0.153077 | + | 0.0883792i | ||||
\(549\) | −26.4029 | − | 11.0428i | −1.12685 | − | 0.471294i | ||||
\(550\) | 11.2785 | + | 19.5350i | 0.480919 | + | 0.832976i | ||||
\(551\) | −6.73813 | + | 11.6708i | −0.287054 | + | 0.497192i | ||||
\(552\) | −5.78666 | − | 2.86602i | −0.246296 | − | 0.121986i | ||||
\(553\) | −2.80925 | − | 1.97742i | −0.119462 | − | 0.0840883i | ||||
\(554\) | − | 24.9920i | − | 1.06181i | ||||||
\(555\) | 41.4982 | − | 27.6253i | 1.76150 | − | 1.17263i | ||||
\(556\) | −5.75800 | + | 3.32438i | −0.244194 | + | 0.140985i | ||||
\(557\) | −11.6975 | + | 6.75356i | −0.495639 | + | 0.286157i | −0.726911 | − | 0.686732i | \(-0.759045\pi\) |
0.231272 | + | 0.972889i | \(0.425711\pi\) | |||||||
\(558\) | −16.7421 | + | 2.14570i | −0.708751 | + | 0.0908348i | ||||
\(559\) | 10.2841i | 0.434970i | ||||||||
\(560\) | −7.24511 | + | 3.35669i | −0.306162 | + | 0.141846i | ||||
\(561\) | −5.05294 | + | 10.2022i | −0.213335 | + | 0.430736i | ||||
\(562\) | 8.64365 | − | 14.9712i | 0.364610 | − | 0.631524i | ||||
\(563\) | −15.6101 | − | 27.0375i | −0.657888 | − | 1.13950i | −0.981161 | − | 0.193190i | \(-0.938116\pi\) |
0.323273 | − | 0.946306i | \(-0.395217\pi\) | |||||||
\(564\) | −0.859977 | − | 13.4751i | −0.0362115 | − | 0.567402i | ||||
\(565\) | 36.7809 | + | 21.2354i | 1.54738 | + | 0.893382i | ||||
\(566\) | −8.91431 | −0.374696 | ||||||||
\(567\) | −3.91578 | − | 23.4876i | −0.164447 | − | 0.986386i | ||||
\(568\) | −2.25721 | −0.0947104 | ||||||||
\(569\) | 27.3771 | + | 15.8062i | 1.14771 | + | 0.662629i | 0.948328 | − | 0.317293i | \(-0.102774\pi\) |
0.199380 | + | 0.979922i | \(0.436107\pi\) | |||||||
\(570\) | −2.11093 | − | 33.0763i | −0.0884170 | − | 1.38541i | ||||
\(571\) | −14.0217 | − | 24.2862i | −0.586788 | − | 1.01635i | −0.994650 | − | 0.103304i | \(-0.967059\pi\) |
0.407861 | − | 0.913044i | \(-0.366275\pi\) | |||||||
\(572\) | −2.74522 | + | 4.75486i | −0.114783 | + | 0.198811i | ||||
\(573\) | 0.418085 | − | 0.844137i | 0.0174658 | − | 0.0352643i | ||||
\(574\) | 6.49422 | − | 9.22612i | 0.271064 | − | 0.385091i | ||||
\(575\) | − | 15.3172i | − | 0.638773i | ||||||
\(576\) | 2.97566 | − | 0.381366i | 0.123986 | − | 0.0158903i | ||||
\(577\) | 12.0367 | − | 6.94939i | 0.501094 | − | 0.289307i | −0.228071 | − | 0.973645i | \(-0.573242\pi\) |
0.729165 | + | 0.684338i | \(0.239908\pi\) | |||||||
\(578\) | 13.4812 | − | 7.78337i | 0.560744 | − | 0.323746i | ||||
\(579\) | −19.7684 | + | 13.1598i | −0.821548 | + | 0.546904i | ||||
\(580\) | − | 6.41467i | − | 0.266355i | ||||||
\(581\) | 2.72631 | − | 30.2997i | 0.113106 | − | 1.25704i | ||||
\(582\) | 14.8870 | + | 7.37323i | 0.617085 | + | 0.305630i | ||||
\(583\) | −20.7179 | + | 35.8845i | −0.858050 | + | 1.48619i | ||||
\(584\) | −0.289350 | − | 0.501169i | −0.0119734 | − | 0.0207385i | ||||
\(585\) | −8.35291 | − | 3.49353i | −0.345350 | − | 0.144440i | ||||
\(586\) | −5.26159 | − | 3.03778i | −0.217354 | − | 0.125489i | ||||
\(587\) | 35.5637 | 1.46787 | 0.733935 | − | 0.679219i | \(-0.237681\pi\) | ||||
0.733935 | + | 0.679219i | \(0.237681\pi\) | |||||||
\(588\) | 11.1298 | − | 4.80907i | 0.458986 | − | 0.198323i | ||||
\(589\) | 35.6734 | 1.46990 | ||||||||
\(590\) | −10.7789 | − | 6.22322i | −0.443761 | − | 0.256206i | ||||
\(591\) | −6.13302 | + | 0.391409i | −0.252279 | + | 0.0161004i | ||||
\(592\) | −4.76840 | − | 8.25912i | −0.195980 | − | 0.339448i | ||||
\(593\) | −7.87130 | + | 13.6335i | −0.323236 | + | 0.559861i | −0.981154 | − | 0.193229i | \(-0.938104\pi\) |
0.657918 | + | 0.753090i | \(0.271437\pi\) | |||||||
\(594\) | 5.42161 | + | 28.0093i | 0.222451 | + | 1.14923i | ||||
\(595\) | 0.856681 | − | 9.52099i | 0.0351205 | − | 0.390323i | ||||
\(596\) | 18.1021i | 0.741492i | ||||||||
\(597\) | −19.9426 | − | 29.9573i | −0.816195 | − | 1.22607i | ||||
\(598\) | 3.22876 | − | 1.86412i | 0.132034 | − | 0.0762297i | ||||
\(599\) | 23.5223 | − | 13.5806i | 0.961094 | − | 0.554888i | 0.0645844 | − | 0.997912i | \(-0.479428\pi\) |
0.896510 | + | 0.443024i | \(0.146094\pi\) | |||||||
\(600\) | 3.94328 | + | 5.92352i | 0.160984 | + | 0.241827i | ||||
\(601\) | − | 10.3648i | − | 0.422787i | −0.977401 | − | 0.211394i | \(-0.932200\pi\) | ||
0.977401 | − | 0.211394i | \(-0.0678002\pi\) | |||||||
\(602\) | −15.6615 | + | 22.2498i | −0.638315 | + | 0.906833i | ||||
\(603\) | −18.0857 | − | 23.7380i | −0.736507 | − | 0.966687i | ||||
\(604\) | −3.07005 | + | 5.31748i | −0.124918 | + | 0.216365i | ||||
\(605\) | 28.8899 | + | 50.0387i | 1.17454 | + | 2.03436i | ||||
\(606\) | 26.2092 | − | 1.67267i | 1.06468 | − | 0.0679476i | ||||
\(607\) | −21.5899 | − | 12.4649i | −0.876306 | − | 0.505935i | −0.00686733 | − | 0.999976i | \(-0.502186\pi\) |
−0.869439 | + | 0.494041i | \(0.835519\pi\) | |||||||
\(608\) | −6.34040 | −0.257137 | ||||||||
\(609\) | −0.253242 | + | 9.73678i | −0.0102619 | + | 0.394554i | ||||
\(610\) | −28.7910 | −1.16571 | ||||||||
\(611\) | 6.75123 | + | 3.89783i | 0.273126 | + | 0.157689i | ||||
\(612\) | −1.38581 | + | 3.31344i | −0.0560182 | + | 0.133938i | ||||
\(613\) | 12.7808 | + | 22.1370i | 0.516213 | + | 0.894107i | 0.999823 | + | 0.0188230i | \(0.00599191\pi\) |
−0.483610 | + | 0.875283i | \(0.660675\pi\) | |||||||
\(614\) | 6.45167 | − | 11.1746i | 0.260368 | − | 0.450971i | ||||
\(615\) | −19.9758 | − | 9.89362i | −0.805501 | − | 0.398949i | ||||
\(616\) | −13.1805 | + | 6.10656i | −0.531056 | + | 0.246040i | ||||
\(617\) | 9.86761i | 0.397255i | 0.980075 | + | 0.198627i | \(0.0636484\pi\) | ||||
−0.980075 | + | 0.198627i | \(0.936352\pi\) | |||||||
\(618\) | −28.0725 | + | 18.6878i | −1.12924 | + | 0.751735i | ||||
\(619\) | −31.2933 | + | 18.0672i | −1.25778 | + | 0.726181i | −0.972643 | − | 0.232305i | \(-0.925373\pi\) |
−0.285140 | + | 0.958486i | \(0.592040\pi\) | |||||||
\(620\) | −14.7055 | + | 8.49022i | −0.590587 | + | 0.340976i | ||||
\(621\) | 6.32147 | − | 18.3121i | 0.253672 | − | 0.734841i | ||||
\(622\) | 1.78550i | 0.0715921i | ||||||||
\(623\) | −11.9069 | − | 8.38121i | −0.477040 | − | 0.335786i | ||||
\(624\) | −0.768732 | + | 1.55211i | −0.0307739 | + | 0.0621342i | ||||
\(625\) | 14.3315 | − | 24.8228i | 0.573259 | − | 0.992914i | ||||
\(626\) | 5.13913 | + | 8.90124i | 0.205401 | + | 0.355765i | ||||
\(627\) | −3.84024 | − | 60.1731i | −0.153364 | − | 2.40308i | ||||
\(628\) | 8.56382 | + | 4.94432i | 0.341734 | + | 0.197300i | ||||
\(629\) | 11.4174 | 0.455240 | ||||||||
\(630\) | −12.7514 | − | 20.2789i | −0.508028 | − | 0.807930i | ||||
\(631\) | −16.0360 | −0.638381 | −0.319191 | − | 0.947691i | \(-0.603411\pi\) | ||||
−0.319191 | + | 0.947691i | \(0.603411\pi\) | |||||||
\(632\) | 1.12450 | + | 0.649232i | 0.0447303 | + | 0.0258251i | ||||
\(633\) | −0.766137 | − | 12.0047i | −0.0304512 | − | 0.477143i | ||||
\(634\) | −13.6534 | − | 23.6484i | −0.542245 | − | 0.939196i | ||||
\(635\) | 9.00624 | − | 15.5993i | 0.357402 | − | 0.619038i | ||||
\(636\) | −5.80155 | + | 11.7137i | −0.230047 | + | 0.464477i | ||||
\(637\) | −1.24958 | + | 6.88757i | −0.0495100 | + | 0.272895i | ||||
\(638\) | − | 11.6697i | − | 0.462008i | ||||||
\(639\) | −0.860823 | − | 6.71669i | −0.0340536 | − | 0.265708i | ||||
\(640\) | 2.61368 | − | 1.50901i | 0.103315 | − | 0.0596488i | ||||
\(641\) | 24.6391 | − | 14.2254i | 0.973186 | − | 0.561869i | 0.0729801 | − | 0.997333i | \(-0.476749\pi\) |
0.900206 | + | 0.435464i | \(0.143416\pi\) | |||||||
\(642\) | 15.3567 | − | 10.2230i | 0.606082 | − | 0.403468i | ||||
\(643\) | 32.6732i | 1.28851i | 0.764813 | + | 0.644253i | \(0.222831\pi\) | ||||
−0.764813 | + | 0.644253i | \(0.777169\pi\) | |||||||
\(644\) | 9.82433 | + | 0.883974i | 0.387133 | + | 0.0348335i | ||||
\(645\) | 48.1737 | + | 23.8595i | 1.89684 | + | 0.939467i | ||||
\(646\) | 3.79533 | − | 6.57370i | 0.149325 | − | 0.258639i | ||||
\(647\) | 20.6357 | + | 35.7421i | 0.811273 | + | 1.40517i | 0.911973 | + | 0.410249i | \(0.134558\pi\) |
−0.100700 | + | 0.994917i | \(0.532108\pi\) | |||||||
\(648\) | 2.26963 | + | 8.70912i | 0.0891596 | + | 0.342127i | ||||
\(649\) | −19.6092 | − | 11.3214i | −0.769730 | − | 0.444404i | ||||
\(650\) | −4.10843 | −0.161146 | ||||||||
\(651\) | 22.6566 | − | 12.3067i | 0.887980 | − | 0.482337i | ||||
\(652\) | 12.6208 | 0.494268 | ||||||||
\(653\) | 19.8709 | + | 11.4724i | 0.777607 | + | 0.448952i | 0.835581 | − | 0.549367i | \(-0.185131\pi\) |
−0.0579746 | + | 0.998318i | \(0.518464\pi\) | |||||||
\(654\) | −5.39092 | + | 0.344048i | −0.210802 | + | 0.0134534i | ||||
\(655\) | −22.2591 | − | 38.5540i | −0.869737 | − | 1.50643i | ||||
\(656\) | −2.13220 | + | 3.69309i | −0.0832486 | + | 0.144191i | ||||
\(657\) | 1.38096 | − | 1.05214i | 0.0538764 | − | 0.0410477i | ||||
\(658\) | 8.67045 | + | 18.7144i | 0.338009 | + | 0.729563i | ||||
\(659\) | − | 22.1480i | − | 0.862763i | −0.902170 | − | 0.431381i | \(-0.858026\pi\) | ||
0.902170 | − | 0.431381i | \(-0.141974\pi\) | |||||||
\(660\) | 15.9042 | + | 23.8909i | 0.619069 | + | 0.929953i | ||||
\(661\) | −3.70058 | + | 2.13653i | −0.143936 | + | 0.0831015i | −0.570239 | − | 0.821479i | \(-0.693149\pi\) |
0.426303 | + | 0.904581i | \(0.359816\pi\) | |||||||
\(662\) | −6.99129 | + | 4.03642i | −0.271724 | + | 0.156880i | ||||
\(663\) | −1.14906 | − | 1.72610i | −0.0446260 | − | 0.0670363i | ||||
\(664\) | 11.4985i | 0.446228i | ||||||||
\(665\) | 21.2828 | + | 45.9369i | 0.825310 | + | 1.78136i | ||||
\(666\) | 22.7578 | − | 17.3389i | 0.881848 | − | 0.671869i | ||||
\(667\) | −3.96211 | + | 6.86258i | −0.153414 | + | 0.265720i | ||||
\(668\) | −4.01401 | − | 6.95246i | −0.155307 | − | 0.268999i | ||||
\(669\) | 14.1833 | − | 0.905179i | 0.548359 | − | 0.0349962i | ||||
\(670\) | −25.9998 | − | 15.0110i | −1.00446 | − | 0.579924i | ||||
\(671\) | −52.3772 | −2.02200 | ||||||||
\(672\) | −4.02686 | + | 2.18733i | −0.155339 | + | 0.0843780i | ||||
\(673\) | 26.6969 | 1.02909 | 0.514545 | − | 0.857464i | \(-0.327961\pi\) | ||||
0.514545 | + | 0.857464i | \(0.327961\pi\) | |||||||
\(674\) | −13.9683 | − | 8.06461i | −0.538039 | − | 0.310637i | ||||
\(675\) | −16.1226 | + | 13.9929i | −0.620558 | + | 0.538587i | ||||
\(676\) | −0.500000 | − | 0.866025i | −0.0192308 | − | 0.0333087i | ||||
\(677\) | −4.59005 | + | 7.95020i | −0.176410 | + | 0.305551i | −0.940648 | − | 0.339383i | \(-0.889782\pi\) |
0.764238 | + | 0.644934i | \(0.223115\pi\) | |||||||
\(678\) | 21.8420 | + | 10.8179i | 0.838837 | + | 0.415460i | ||||
\(679\) | −25.2744 | − | 2.27414i | −0.969944 | − | 0.0872737i | ||||
\(680\) | 3.61313i | 0.138557i | ||||||||
\(681\) | −6.07635 | + | 4.04502i | −0.232846 | + | 0.155005i | ||||
\(682\) | −26.7525 | + | 15.4456i | −1.02441 | + | 0.591442i | ||||
\(683\) | 43.4043 | − | 25.0595i | 1.66082 | − | 0.958874i | 0.688494 | − | 0.725242i | \(-0.258272\pi\) |
0.972325 | − | 0.233632i | \(-0.0750611\pi\) | |||||||
\(684\) | −2.41802 | − | 18.8669i | −0.0924552 | − | 0.721394i | ||||
\(685\) | 12.4880i | 0.477141i | ||||||||
\(686\) | −13.1925 | + | 12.9984i | −0.503691 | + | 0.496281i | ||||
\(687\) | −5.01301 | + | 10.1215i | −0.191258 | + | 0.386161i | ||||
\(688\) | 5.14203 | − | 8.90626i | 0.196038 | − | 0.339548i | ||||
\(689\) | −3.77346 | − | 6.53582i | −0.143757 | − | 0.248995i | ||||
\(690\) | −1.24125 | − | 19.4493i | −0.0472537 | − | 0.740423i | ||||
\(691\) | −11.5331 | − | 6.65866i | −0.438741 | − | 0.253307i | 0.264322 | − | 0.964434i | \(-0.414852\pi\) |
−0.703063 | + | 0.711127i | \(0.748185\pi\) | |||||||
\(692\) | 8.89879 | 0.338281 | ||||||||
\(693\) | −23.1976 | − | 36.8917i | −0.881205 | − | 1.40140i | ||||
\(694\) | −10.2686 | −0.389792 | ||||||||
\(695\) | −17.3777 | − | 10.0330i | −0.659176 | − | 0.380575i | ||||
\(696\) | −0.234470 | − | 3.67393i | −0.00888755 | − | 0.139260i | ||||
\(697\) | −2.55265 | − | 4.42132i | −0.0966885 | − | 0.167469i | ||||
\(698\) | −13.4642 | + | 23.3207i | −0.509627 | + | 0.882700i | ||||
\(699\) | 13.1861 | − | 26.6236i | 0.498746 | − | 1.00700i | ||||
\(700\) | −8.88866 | − | 6.25668i | −0.335960 | − | 0.236480i | ||||
\(701\) | − | 10.5635i | − | 0.398978i | −0.979900 | − | 0.199489i | \(-0.936072\pi\) | ||
0.979900 | − | 0.199489i | \(-0.0639283\pi\) | |||||||
\(702\) | −4.91173 | − | 1.69556i | −0.185381 | − | 0.0639949i | ||||
\(703\) | −52.3661 | + | 30.2336i | −1.97503 | + | 1.14028i | ||||
\(704\) | 4.75486 | − | 2.74522i | 0.179206 | − | 0.103464i | ||||
\(705\) | 33.9218 | − | 22.5817i | 1.27757 | − | 0.850475i | ||||
\(706\) | − | 4.16782i | − | 0.156858i | ||||||
\(707\) | −36.3999 | + | 16.8642i | −1.36896 | + | 0.634244i | ||||
\(708\) | −6.40098 | − | 3.17028i | −0.240563 | − | 0.119146i | ||||
\(709\) | −15.2442 | + | 26.4038i | −0.572510 | + | 0.991616i | 0.423798 | + | 0.905757i | \(0.360697\pi\) |
−0.996307 | + | 0.0858589i | \(0.972637\pi\) | |||||||
\(710\) | −3.40615 | − | 5.89962i | −0.127830 | − | 0.221409i | ||||
\(711\) | −1.50305 | + | 3.59374i | −0.0563687 | + | 0.134776i | ||||
\(712\) | 4.76616 | + | 2.75175i | 0.178620 | + | 0.103126i | ||||
\(713\) | 20.9765 | 0.785574 | ||||||||
\(714\) | 0.142641 | − | 5.48435i | 0.00533822 | − | 0.205247i | ||||
\(715\) | −16.5702 | −0.619692 | ||||||||
\(716\) | 15.8867 | + | 9.17219i | 0.593714 | + | 0.342781i | ||||
\(717\) | −27.0252 | + | 1.72475i | −1.00928 | + | 0.0644119i | ||||
\(718\) | −6.42566 | − | 11.1296i | −0.239804 | − | 0.415352i | ||||
\(719\) | −24.3326 | + | 42.1454i | −0.907454 | + | 1.57176i | −0.0898651 | + | 0.995954i | \(0.528644\pi\) |
−0.817589 | + | 0.575802i | \(0.804690\pi\) | |||||||
\(720\) | 5.48707 | + | 7.20194i | 0.204491 | + | 0.268400i | ||||
\(721\) | 29.6514 | − | 42.1247i | 1.10428 | − | 1.56881i | ||||
\(722\) | 21.2007i | 0.789010i | ||||||||
\(723\) | 14.0014 | + | 21.0326i | 0.520716 | + | 0.782210i | ||||
\(724\) | 15.5515 | − | 8.97866i | 0.577967 | − | 0.333689i | ||||
\(725\) | 7.56239 | − | 4.36615i | 0.280860 | − | 0.162155i | ||||
\(726\) | 18.3753 | + | 27.6031i | 0.681973 | + | 1.02445i | ||||
\(727\) | − | 36.3229i | − | 1.34714i | −0.739123 | − | 0.673570i | \(-0.764760\pi\) | ||
0.739123 | − | 0.673570i | \(-0.235240\pi\) | |||||||
\(728\) | 0.237102 | − | 2.63511i | 0.00878758 | − | 0.0976635i | ||||
\(729\) | −25.0498 | + | 10.0750i | −0.927771 | + | 0.373149i | ||||
\(730\) | 0.873263 | − | 1.51254i | 0.0323209 | − | 0.0559815i | ||||
\(731\) | 6.15598 | + | 10.6625i | 0.227687 | + | 0.394366i | ||||
\(732\) | −16.4897 | + | 1.05237i | −0.609477 | + | 0.0388968i | ||||
\(733\) | 1.50247 | + | 0.867449i | 0.0554948 | + | 0.0320400i | 0.527491 | − | 0.849561i | \(-0.323133\pi\) |
−0.471996 | + | 0.881601i | \(0.656466\pi\) | |||||||
\(734\) | 34.5479 | 1.27519 | ||||||||
\(735\) | 29.3644 | + | 21.8329i | 1.08312 | + | 0.805317i | ||||
\(736\) | −3.72825 | −0.137425 | ||||||||
\(737\) | −47.2993 | − | 27.3083i | −1.74229 | − | 1.00591i | ||||
\(738\) | −11.8025 | − | 4.93630i | −0.434457 | − | 0.181708i | ||||
\(739\) | −6.03360 | − | 10.4505i | −0.221950 | − | 0.384428i | 0.733450 | − | 0.679743i | \(-0.237909\pi\) |
−0.955400 | + | 0.295315i | \(0.904575\pi\) | |||||||
\(740\) | 14.3911 | − | 24.9262i | 0.529028 | − | 0.916304i | ||||
\(741\) | 9.84102 | + | 4.87407i | 0.361519 | + | 0.179053i | ||||
\(742\) | 1.78939 | − | 19.8869i | 0.0656905 | − | 0.730072i | ||||
\(743\) | − | 6.97172i | − | 0.255768i | −0.991789 | − | 0.127884i | \(-0.959182\pi\) | ||
0.991789 | − | 0.127884i | \(-0.0408185\pi\) | |||||||
\(744\) | −8.11207 | + | 5.40019i | −0.297403 | + | 0.197981i | ||||
\(745\) | −47.3132 | + | 27.3163i | −1.73342 | + | 1.00079i | ||||
\(746\) | 11.1674 | − | 6.44752i | 0.408869 | − | 0.236061i | ||||
\(747\) | −34.2156 | + | 4.38513i | −1.25188 | + | 0.160444i | ||||
\(748\) | 6.57309i | 0.240336i | ||||||||
\(749\) | −16.2204 | + | 23.0438i | −0.592682 | + | 0.842004i | ||||
\(750\) | 2.06848 | − | 4.17638i | 0.0755303 | − | 0.152500i | ||||
\(751\) | −15.1364 | + | 26.2170i | −0.552334 | + | 0.956671i | 0.445771 | + | 0.895147i | \(0.352930\pi\) |
−0.998106 | + | 0.0615244i | \(0.980404\pi\) | |||||||
\(752\) | −3.89783 | − | 6.75123i | −0.142139 | − | 0.246192i | ||||
\(753\) | 2.84274 | + | 44.5431i | 0.103595 | + | 1.62324i | ||||
\(754\) | 1.84070 | + | 1.06273i | 0.0670343 | + | 0.0387023i | ||||
\(755\) | −18.5309 | −0.674409 | ||||||||
\(756\) | −8.04446 | − | 11.1484i | −0.292574 | − | 0.405463i | ||||
\(757\) | 27.9273 | 1.01504 | 0.507518 | − | 0.861641i | \(-0.330563\pi\) | ||||
0.507518 | + | 0.861641i | \(0.330563\pi\) | |||||||
\(758\) | 4.35651 | + | 2.51523i | 0.158236 | + | 0.0913574i | ||||
\(759\) | −2.25811 | − | 35.3826i | −0.0819644 | − | 1.28431i | ||||
\(760\) | −9.56773 | − | 16.5718i | −0.347058 | − | 0.601122i | ||||
\(761\) | −17.9005 | + | 31.0045i | −0.648892 | + | 1.12391i | 0.334496 | + | 0.942397i | \(0.391434\pi\) |
−0.983388 | + | 0.181516i | \(0.941900\pi\) | |||||||
\(762\) | 4.58803 | − | 9.26349i | 0.166207 | − | 0.335581i | ||||
\(763\) | 7.48701 | − | 3.46876i | 0.271048 | − | 0.125578i | ||||
\(764\) | − | 0.543864i | − | 0.0196763i | ||||||
\(765\) | −10.7515 | + | 1.37793i | −0.388720 | + | 0.0498191i | ||||
\(766\) | 9.53136 | − | 5.50293i | 0.344382 | − | 0.198829i | ||||
\(767\) | 3.57153 | − | 2.06202i | 0.128960 | − | 0.0744553i | ||||
\(768\) | 1.44180 | − | 0.959803i | 0.0520264 | − | 0.0346339i | ||||
\(769\) | − | 0.430697i | − | 0.0155313i | −0.999970 | − | 0.00776566i | \(-0.997528\pi\) | ||
0.999970 | − | 0.00776566i | \(-0.00247191\pi\) | |||||||
\(770\) | −35.8500 | − | 25.2346i | −1.29194 | − | 0.909393i | ||||
\(771\) | 8.58244 | + | 4.25072i | 0.309089 | + | 0.153086i | ||||
\(772\) | −6.85549 | + | 11.8741i | −0.246734 | + | 0.427356i | ||||
\(773\) | 5.41320 | + | 9.37594i | 0.194699 | + | 0.337229i | 0.946802 | − | 0.321817i | \(-0.104294\pi\) |
−0.752103 | + | 0.659046i | \(0.770960\pi\) | |||||||
\(774\) | 28.4630 | + | 11.9044i | 1.02308 | + | 0.427895i | ||||
\(775\) | −20.0186 | − | 11.5577i | −0.719090 | − | 0.415167i | ||||
\(776\) | 9.59143 | 0.344312 | ||||||||
\(777\) | −22.8282 | + | 37.2671i | −0.818958 | + | 1.33695i | ||||
\(778\) | −18.7292 | −0.671475 | ||||||||
\(779\) | 23.4157 | + | 13.5190i | 0.838953 | + | 0.484370i | ||||
\(780\) | −5.21675 | + | 0.332932i | −0.186789 | + | 0.0119209i | ||||
\(781\) | −6.19654 | − | 10.7327i | −0.221729 | − | 0.384047i | ||||
\(782\) | 2.23171 | − | 3.86543i | 0.0798057 | − | 0.138227i | ||||
\(783\) | 10.8429 | − | 2.09881i | 0.387495 | − | 0.0750055i | ||||
\(784\) | 4.52595 | − | 5.34002i | 0.161641 | − | 0.190715i | ||||
\(785\) | 29.8441i | 1.06518i | ||||||||
\(786\) | −14.1579 | − | 21.2677i | −0.504995 | − | 0.758594i | ||||
\(787\) | 26.0383 | − | 15.0332i | 0.928166 | − | 0.535877i | 0.0419351 | − | 0.999120i | \(-0.486648\pi\) |
0.886231 | + | 0.463243i | \(0.153314\pi\) | |||||||
\(788\) | −3.07275 | + | 1.77405i | −0.109462 | + | 0.0631980i | ||||
\(789\) | −22.5583 | − | 33.8866i | −0.803097 | − | 1.20640i | ||||
\(790\) | 3.91879i | 0.139424i | ||||||||
\(791\) | −37.0824 | − | 3.33660i | −1.31850 | − | 0.118636i | ||||
\(792\) | 9.98219 | + | 13.1019i | 0.354702 | + | 0.465556i | ||||
\(793\) | 4.76985 | − | 8.26163i | 0.169382 | − | 0.293379i | ||||
\(794\) | −5.93579 | − | 10.2811i | −0.210653 | − | 0.364862i | ||||
\(795\) | −39.3704 | + | 2.51261i | −1.39632 | + | 0.0891132i | ||||
\(796\) | −17.9941 | − | 10.3889i | −0.637783 | − | 0.368224i | ||||
\(797\) | 29.6965 | 1.05190 | 0.525952 | − | 0.850514i | \(-0.323709\pi\) | ||||
0.525952 | + | 0.850514i | \(0.323709\pi\) | |||||||
\(798\) | 13.8686 | + | 25.5319i | 0.490941 | + | 0.903820i | ||||
\(799\) | 9.33286 | 0.330173 | ||||||||
\(800\) | 3.55800 | + | 2.05422i | 0.125794 | + | 0.0726275i | ||||
\(801\) | −6.37061 | + | 15.2319i | −0.225094 | + | 0.538193i | ||||
\(802\) | 10.2050 | + | 17.6755i | 0.360350 | + | 0.624144i | ||||
\(803\) | 1.58866 | − | 2.75164i | 0.0560625 | − | 0.0971031i | ||||
\(804\) | −15.4397 | − | 7.64701i | −0.544518 | − | 0.269689i | ||||
\(805\) | 12.5146 | + | 27.0116i | 0.441081 | + | 0.952033i | ||||
\(806\) | − | 5.62636i | − | 0.198180i | ||||||
\(807\) | −7.73379 | + | 5.14838i | −0.272242 | + | 0.181231i | ||||
\(808\) | 13.1313 | − | 7.58135i | 0.461957 | − | 0.266711i | ||||
\(809\) | −20.1548 | + | 11.6364i | −0.708606 | + | 0.409114i | −0.810545 | − | 0.585677i | \(-0.800829\pi\) |
0.101939 | + | 0.994791i | \(0.467495\pi\) | |||||||
\(810\) | −19.3380 | + | 19.0742i | −0.679466 | + | 0.670200i | ||||
\(811\) | 4.77384i | 0.167632i | 0.996481 | + | 0.0838160i | \(0.0267108\pi\) | ||||
−0.996481 | + | 0.0838160i | \(0.973289\pi\) | |||||||
\(812\) | 2.36397 | + | 5.10241i | 0.0829590 | + | 0.179060i | ||||
\(813\) | 10.6269 | − | 21.4563i | 0.372702 | − | 0.752506i | ||||
\(814\) | 26.1806 | − | 45.3462i | 0.917631 | − | 1.58938i | ||||
\(815\) | 19.0449 | + | 32.9867i | 0.667112 | + | 1.15547i | ||||
\(816\) | 0.132068 | + | 2.06938i | 0.00462329 | + | 0.0724428i | ||||
\(817\) | −56.4693 | − | 32.6026i | −1.97561 | − | 1.14062i | ||||
\(818\) | 3.59889 | 0.125832 | ||||||||
\(819\) | 7.93160 | − | 0.299406i | 0.277153 | − | 0.0104621i | ||||
\(820\) | −12.8701 | −0.449442 | ||||||||
\(821\) | −26.7609 | − | 15.4504i | −0.933961 | − | 0.539223i | −0.0458987 | − | 0.998946i | \(-0.514615\pi\) |
−0.888062 | + | 0.459724i | \(0.847948\pi\) | |||||||
\(822\) | 0.456462 | + | 7.15234i | 0.0159209 | + | 0.249467i | ||||
\(823\) | 15.9072 | + | 27.5520i | 0.554489 | + | 0.960403i | 0.997943 | + | 0.0641062i | \(0.0204196\pi\) |
−0.443454 | + | 0.896297i | \(0.646247\pi\) | |||||||
\(824\) | −9.73525 | + | 16.8619i | −0.339143 | + | 0.587413i | ||||
\(825\) | −17.3403 | + | 35.0111i | −0.603713 | + | 1.21893i | ||||
\(826\) | 10.8673 | + | 0.977818i | 0.378121 | + | 0.0340226i | ||||
\(827\) | − | 4.77010i | − | 0.165872i | −0.996555 | − | 0.0829362i | \(-0.973570\pi\) | ||
0.996555 | − | 0.0829362i | \(-0.0264298\pi\) | |||||||
\(828\) | −1.42183 | − | 11.0940i | −0.0494119 | − | 0.385543i | ||||
\(829\) | −2.70219 | + | 1.56011i | −0.0938510 | + | 0.0541849i | −0.546191 | − | 0.837661i | \(-0.683923\pi\) |
0.452340 | + | 0.891846i | \(0.350589\pi\) | |||||||
\(830\) | −30.0533 | + | 17.3513i | −1.04317 | + | 0.602273i | ||||
\(831\) | 36.0334 | − | 23.9874i | 1.24999 | − | 0.832114i | ||||
\(832\) | 1.00000i | 0.0346688i | ||||||||
\(833\) | 2.82730 | + | 7.88898i | 0.0979602 | + | 0.273337i | ||||
\(834\) | −10.3196 | − | 5.11112i | −0.357340 | − | 0.176984i | ||||
\(835\) | 12.1143 | − | 20.9826i | 0.419234 | − | 0.726135i | ||||
\(836\) | −17.4058 | − | 30.1477i | −0.601992 | − | 1.04268i | ||||
\(837\) | −19.1628 | − | 22.0793i | −0.662364 | − | 0.763173i | ||||
\(838\) | 9.82609 | + | 5.67310i | 0.339437 | + | 0.195974i | ||||
\(839\) | 35.9486 | 1.24108 | 0.620542 | − | 0.784173i | \(-0.286913\pi\) | ||||
0.620542 | + | 0.784173i | \(0.286913\pi\) | |||||||
\(840\) | −11.7935 | − | 7.22422i | −0.406916 | − | 0.249259i | ||||
\(841\) | 24.4824 | 0.844222 | ||||||||
\(842\) | 3.37450 | + | 1.94827i | 0.116293 | + | 0.0671418i | ||||
\(843\) | 29.8817 | − | 1.90705i | 1.02918 | − | 0.0656822i | ||||
\(844\) | −3.47250 | − | 6.01455i | −0.119528 | − | 0.207029i | ||||
\(845\) | 1.50901 | − | 2.61368i | 0.0519115 | − | 0.0899133i | ||||
\(846\) | 18.6029 | − | 14.1733i | 0.639580 | − | 0.487288i | ||||
\(847\) | −41.4204 | − | 29.1556i | −1.42322 | − | 1.00180i | ||||
\(848\) | 7.54692i | 0.259162i | ||||||||
\(849\) | −8.55597 | − | 12.8526i | −0.293640 | − | 0.441101i | ||||
\(850\) | −4.25960 | + | 2.45928i | −0.146103 | + | 0.0843527i | ||||
\(851\) | −30.7920 | + | 17.7778i | −1.05554 | + | 0.609415i | ||||
\(852\) | −2.16648 | − | 3.25444i | −0.0742222 | − | 0.111495i | ||||
\(853\) | 23.9134i | 0.818780i | 0.912359 | + | 0.409390i | \(0.134259\pi\) | ||||
−0.912359 | + | 0.409390i | \(0.865741\pi\) | |||||||
\(854\) | 22.9012 | − | 10.6102i | 0.783663 | − | 0.363074i | ||||
\(855\) | 45.6632 | − | 34.7902i | 1.56165 | − | 1.18980i | ||||
\(856\) | 5.32555 | − | 9.22412i | 0.182024 | − | 0.315274i | ||||
\(857\) | −25.9972 | − | 45.0284i | −0.888046 | − | 1.53814i | −0.842182 | − | 0.539194i | \(-0.818729\pi\) |
−0.0458647 | − | 0.998948i | \(-0.514604\pi\) | |||||||
\(858\) | −9.49041 | + | 0.605677i | −0.323997 | + | 0.0206775i | ||||
\(859\) | −13.5281 | − | 7.81046i | −0.461573 | − | 0.266490i | 0.251132 | − | 0.967953i | \(-0.419197\pi\) |
−0.712706 | + | 0.701463i | \(0.752530\pi\) | |||||||
\(860\) | 31.0375 | 1.05837 | ||||||||
\(861\) | 19.5354 | + | 0.508092i | 0.665764 | + | 0.0173157i | ||||
\(862\) | −28.0774 | −0.956319 | ||||||||
\(863\) | 26.2981 | + | 15.1832i | 0.895196 | + | 0.516842i | 0.875639 | − | 0.482967i | \(-0.160441\pi\) |
0.0195575 | + | 0.999809i | \(0.493774\pi\) | |||||||
\(864\) | 3.40590 | + | 3.92426i | 0.115871 | + | 0.133506i | ||||
\(865\) | 13.4284 | + | 23.2586i | 0.456578 | + | 0.790816i | ||||
\(866\) | −4.06167 | + | 7.03502i | −0.138021 | + | 0.239060i | ||||
\(867\) | 24.1613 | + | 11.9666i | 0.820562 | + | 0.406409i | ||||
\(868\) | 8.56832 | − | 12.1727i | 0.290828 | − | 0.413169i | ||||
\(869\) | 7.12914i | 0.241840i | ||||||||
\(870\) | 9.24865 | − | 6.15681i | 0.313559 | − | 0.208736i | ||||
\(871\) | 8.61485 | − | 4.97378i | 0.291903 | − | 0.168530i | ||||
\(872\) | −2.70095 | + | 1.55939i | −0.0914656 | + | 0.0528077i | ||||
\(873\) | 3.65785 | + | 28.5408i | 0.123799 | + | 0.965961i | ||||
\(874\) | 23.6386i | 0.799587i | ||||||||
\(875\) | −0.637987 | + | 7.09047i | −0.0215679 | + | 0.239702i | ||||
\(876\) | 0.444865 | − | 0.898207i | 0.0150306 | − | 0.0303476i | ||||
\(877\) | −12.4275 | + | 21.5250i | −0.419646 | + | 0.726848i | −0.995904 | − | 0.0904201i | \(-0.971179\pi\) |
0.576258 | + | 0.817268i | \(0.304512\pi\) | |||||||
\(878\) | 18.1561 | + | 31.4473i | 0.612738 | + | 1.06129i | ||||
\(879\) | −0.670224 | − | 10.5018i | −0.0226061 | − | 0.354217i | ||||
\(880\) | 14.3503 | + | 8.28512i | 0.483747 | + | 0.279291i | ||||
\(881\) | −5.01841 | −0.169074 | −0.0845372 | − | 0.996420i | \(-0.526941\pi\) | ||||
−0.0845372 | + | 0.996420i | \(0.526941\pi\) | |||||||
\(882\) | 17.6161 | + | 11.4312i | 0.593166 | + | 0.384908i | ||||
\(883\) | −55.4526 | −1.86613 | −0.933065 | − | 0.359709i | \(-0.882876\pi\) | ||||
−0.933065 | + | 0.359709i | \(0.882876\pi\) | |||||||
\(884\) | −1.03680 | − | 0.598594i | −0.0348712 | − | 0.0201329i | ||||
\(885\) | −1.37303 | − | 21.5141i | −0.0461538 | − | 0.723188i | ||||
\(886\) | −8.29928 | − | 14.3748i | −0.278820 | − | 0.482930i | ||||
\(887\) | −13.2901 | + | 23.0191i | −0.446237 | + | 0.772904i | −0.998137 | − | 0.0610053i | \(-0.980569\pi\) |
0.551901 | + | 0.833910i | \(0.313903\pi\) | |||||||
\(888\) | 7.33124 | − | 14.8022i | 0.246020 | − | 0.496729i | ||||
\(889\) | −1.41510 | + | 15.7271i | −0.0474609 | + | 0.527471i | ||||
\(890\) | 16.6096i | 0.556756i | ||||||||
\(891\) | −35.1800 | + | 34.7002i | −1.17857 | + | 1.16250i | ||||
\(892\) | 7.10609 | − | 4.10270i | 0.237930 | − | 0.137369i | ||||
\(893\) | −42.8055 | + | 24.7138i | −1.43243 | + | 0.827016i | ||||
\(894\) | −26.0996 | + | 17.3745i | −0.872901 | + | 0.581089i | ||||
\(895\) | 55.3637i | 1.85060i | ||||||||
\(896\) | −1.52289 | + | 2.16352i | −0.0508762 | + | 0.0722781i | ||||
\(897\) | 5.78666 | + | 2.86602i | 0.193211 | + | 0.0956937i | ||||
\(898\) | 8.23803 | − | 14.2687i | 0.274906 | − | 0.476152i | ||||
\(899\) | 5.97929 | + | 10.3564i | 0.199421 | + | 0.345407i | ||||
\(900\) | −4.75575 | + | 11.3708i | −0.158525 | + | 0.379028i | ||||
\(901\) | −7.82461 | − | 4.51754i | −0.260675 | − | 0.150501i | ||||
\(902\) | −23.4135 | −0.779583 | ||||||||
\(903\) | −47.1116 | − | 1.22532i | −1.56778 | − | 0.0407760i | ||||
\(904\) | 14.0724 | 0.468043 | ||||||||
\(905\) | 46.9347 | + | 27.0977i | 1.56016 | + | 0.900760i | ||||
\(906\) | −10.6134 | + | 0.677344i | −0.352605 | + | 0.0225033i | ||||
\(907\) | −15.0153 | − | 26.0073i | −0.498576 | − | 0.863560i | 0.501422 | − | 0.865203i | \(-0.332810\pi\) |
−0.999999 | + | 0.00164298i | \(0.999477\pi\) | |||||||
\(908\) | −2.10721 | + | 3.64980i | −0.0699303 | + | 0.121123i | ||||
\(909\) | 27.5673 | + | 36.1830i | 0.914351 | + | 1.20011i | ||||
\(910\) | 7.24511 | − | 3.35669i | 0.240173 | − | 0.111273i | ||||
\(911\) | 24.4214i | 0.809116i | 0.914512 | + | 0.404558i | \(0.132575\pi\) | ||||
−0.914512 | + | 0.404558i | \(0.867425\pi\) | |||||||
\(912\) | −6.08554 | − | 9.14158i | −0.201512 | − | 0.302708i | ||||
\(913\) | −54.6737 | + | 31.5659i | −1.80943 | + | 1.04468i | ||||
\(914\) | 10.5560 | − | 6.09451i | 0.349162 | − | 0.201589i | ||||
\(915\) | −27.6337 | − | 41.5108i | −0.913541 | − | 1.37230i | ||||
\(916\) | 6.52114i | 0.215465i | ||||||||
\(917\) | 31.9137 | + | 22.4639i | 1.05388 | + | 0.741823i | ||||
\(918\) | −6.10741 | + | 1.18218i | −0.201575 | + | 0.0390178i | ||||
\(919\) | 3.27156 | − | 5.66651i | 0.107919 | − | 0.186921i | −0.807008 | − | 0.590540i | \(-0.798915\pi\) |
0.914927 | + | 0.403619i | \(0.132248\pi\) | |||||||
\(920\) | −5.62596 | − | 9.74444i | −0.185482 | − | 0.321265i | ||||
\(921\) | 22.3039 | − | 1.42343i | 0.734937 | − | 0.0469036i | ||||
\(922\) | −22.1912 | − | 12.8121i | −0.730829 | − | 0.421945i | ||||
\(923\) | 2.25721 | 0.0742969 | ||||||||
\(924\) | −21.4551 | − | 13.1425i | −0.705819 | − | 0.432355i | ||||
\(925\) | 39.1813 | 1.28827 | ||||||||
\(926\) | 25.1046 | + | 14.4942i | 0.824990 | + | 0.476308i | ||||
\(927\) | −53.8881 | − | 22.5382i | −1.76992 | − | 0.740252i | ||||
\(928\) | −1.06273 | − | 1.84070i | −0.0348858 | − | 0.0604239i | ||||
\(929\) | −16.8048 | + | 29.1068i | −0.551348 | + | 0.954963i | 0.446829 | + | 0.894619i | \(0.352553\pi\) |
−0.998178 | + | 0.0603439i | \(0.980780\pi\) | |||||||
\(930\) | −26.3556 | − | 13.0534i | −0.864233 | − | 0.428038i | ||||
\(931\) | −33.8579 | − | 28.6963i | −1.10965 | − | 0.940485i | ||||
\(932\) | − | 17.1531i | − | 0.561869i | ||||||
\(933\) | −2.57433 | + | 1.71373i | −0.0842798 | + | 0.0561050i | ||||
\(934\) | 6.44665 | − | 3.72197i | 0.210941 | − | 0.121787i | ||||
\(935\) | −17.1799 | + | 9.91885i | −0.561844 | + | 0.324381i | ||||
\(936\) | −2.97566 | + | 0.381366i | −0.0972625 | + | 0.0124653i | ||||
\(937\) | 33.8011i | 1.10424i | 0.833766 | + | 0.552118i | \(0.186180\pi\) | ||||
−0.833766 | + | 0.552118i | \(0.813820\pi\) | |||||||
\(938\) | 26.2129 | + | 2.35859i | 0.855881 | + | 0.0770106i | ||||
\(939\) | −7.90123 | + | 15.9530i | −0.257847 | + | 0.520607i | ||||
\(940\) | 11.7637 | − | 20.3753i | 0.383690 | − | 0.664570i | ||||
\(941\) | −4.97207 | − | 8.61189i | −0.162085 | − | 0.280739i | 0.773531 | − | 0.633758i | \(-0.218489\pi\) |
−0.935616 | + | 0.353019i | \(0.885155\pi\) | |||||||
\(942\) | 1.09087 | + | 17.0929i | 0.0355423 | + | 0.556916i | ||||
\(943\) | 13.7687 | + | 7.94938i | 0.448372 | + | 0.258868i | ||||
\(944\) | −4.12404 | −0.134226 | ||||||||
\(945\) | 16.9992 | − | 37.8487i | 0.552983 | − | 1.23122i | ||||
\(946\) | 56.4640 | 1.83580 | ||||||||
\(947\) | −39.3441 | − | 22.7153i | −1.27851 | − | 0.738149i | −0.301937 | − | 0.953328i | \(-0.597633\pi\) |
−0.976575 | + | 0.215179i | \(0.930967\pi\) | |||||||
\(948\) | 0.143240 | + | 2.24444i | 0.00465222 | + | 0.0728960i | ||||
\(949\) | 0.289350 | + | 0.501169i | 0.00939270 | + | 0.0162686i | ||||
\(950\) | 13.0246 | − | 22.5592i | 0.422572 | − | 0.731917i | ||||
\(951\) | 20.9916 | − | 42.3832i | 0.680698 | − | 1.37437i | ||||
\(952\) | −1.33153 | − | 2.87399i | −0.0431552 | − | 0.0931466i | ||||
\(953\) | − | 2.98833i | − | 0.0968014i | −0.998828 | − | 0.0484007i | \(-0.984588\pi\) | ||
0.998828 | − | 0.0484007i | \(-0.0154124\pi\) | |||||||
\(954\) | −22.4571 | + | 2.87814i | −0.727074 | + | 0.0931832i | ||||
\(955\) | 1.42149 | − | 0.820695i | 0.0459982 | − | 0.0265571i | ||||
\(956\) | −13.5401 | + | 7.81738i | −0.437918 | + | 0.252832i | ||||
\(957\) | 16.8253 | − | 11.2006i | 0.543886 | − | 0.362064i | ||||
\(958\) | 29.6519i | 0.958011i | ||||||||
\(959\) | −4.60214 | − | 9.93330i | −0.148611 | − | 0.320763i | ||||
\(960\) | 4.68430 | + | 2.32005i | 0.151185 | + | 0.0748791i | ||||
\(961\) | 0.327955 | − | 0.568034i | 0.0105792 | − | 0.0183237i | ||||
\(962\) | 4.76840 | + | 8.25912i | 0.153739 | + | 0.266285i | ||||
\(963\) | 29.4789 | + | 12.3293i | 0.949943 | + | 0.397305i | ||||
\(964\) | 12.6334 | + | 7.29387i | 0.406893 | + | 0.234920i | ||||
\(965\) | −41.3800 | −1.33207 | ||||||||
\(966\) | 8.15490 | + | 15.0131i | 0.262380 | + | 0.483039i | ||||
\(967\) | −2.70295 | −0.0869209 | −0.0434604 | − | 0.999055i | \(-0.513838\pi\) | ||||
−0.0434604 | + | 0.999055i | \(0.513838\pi\) | |||||||
\(968\) | 16.5800 | + | 9.57246i | 0.532901 | + | 0.307671i | ||||
\(969\) | 13.1207 | − | 0.837363i | 0.421498 | − | 0.0269000i | ||||
\(970\) | 14.4736 | + | 25.0689i | 0.464718 | + | 0.804915i | ||||
\(971\) | 18.6175 | − | 32.2464i | 0.597464 | − | 1.03484i | −0.395731 | − | 0.918367i | \(-0.629509\pi\) |
0.993194 | − | 0.116471i | \(-0.0371581\pi\) | |||||||
\(972\) | −10.3784 | + | 11.6314i | −0.332887 | + | 0.373077i | ||||
\(973\) | 17.5202 | + | 1.57643i | 0.561672 | + | 0.0505382i | ||||
\(974\) | 30.0048i | 0.961415i | ||||||||
\(975\) | −3.94328 | − | 5.92352i | −0.126286 | − | 0.189705i | ||||
\(976\) | −8.26163 | + | 4.76985i | −0.264448 | + | 0.152679i | ||||
\(977\) | 21.8979 | − | 12.6427i | 0.700575 | − | 0.404477i | −0.106986 | − | 0.994260i | \(-0.534120\pi\) |
0.807562 | + | 0.589783i | \(0.200787\pi\) | |||||||
\(978\) | 12.1135 | + | 18.1966i | 0.387345 | + | 0.581863i | ||||
\(979\) | 30.2166i | 0.965726i | ||||||||
\(980\) | 20.7868 | + | 3.77124i | 0.664010 | + | 0.120468i | ||||
\(981\) | −5.67027 | − | 7.44240i | −0.181038 | − | 0.237618i | ||||
\(982\) | 1.10426 | − | 1.91263i | 0.0352382 | − | 0.0610344i | ||||
\(983\) | −18.5197 | − | 32.0771i | −0.590687 | − | 1.02310i | −0.994140 | − | 0.108099i | \(-0.965524\pi\) |
0.403454 | − | 0.915000i | \(-0.367810\pi\) | |||||||
\(984\) | −7.37118 | + | 0.470428i | −0.234985 | + | 0.0149967i | ||||
\(985\) | −9.27362 | − | 5.35412i | −0.295482 | − | 0.170597i | ||||
\(986\) | 2.54457 | 0.0810357 | ||||||||
\(987\) | −18.6604 | + | 30.4632i | −0.593968 | + | 0.969653i | ||||
\(988\) | 6.34040 | 0.201715 | ||||||||
\(989\) | −33.2047 | − | 19.1708i | −1.05585 | − | 0.609595i | ||||
\(990\) | −19.1810 | + | 45.8612i | −0.609613 | + | 1.45756i | ||||
\(991\) | 24.0812 | + | 41.7098i | 0.764963 | + | 1.32495i | 0.940266 | + | 0.340440i | \(0.110576\pi\) |
−0.175303 | + | 0.984515i | \(0.556091\pi\) | |||||||
\(992\) | −2.81318 | + | 4.87257i | −0.0893185 | + | 0.154704i | ||||
\(993\) | −12.5300 | − | 6.20585i | −0.397626 | − | 0.196937i | ||||
\(994\) | 4.88351 | + | 3.43748i | 0.154896 | + | 0.109030i | ||||
\(995\) | − | 62.7077i | − | 1.98797i | ||||||
\(996\) | −16.5785 | + | 11.0363i | −0.525309 | + | 0.349698i | ||||
\(997\) | 17.2791 | − | 9.97610i | 0.547235 | − | 0.315946i | −0.200771 | − | 0.979638i | \(-0.564345\pi\) |
0.748006 | + | 0.663692i | \(0.231011\pi\) | |||||||
\(998\) | −26.5618 | + | 15.3354i | −0.840798 | + | 0.485435i | ||||
\(999\) | 46.8422 | + | 16.1702i | 1.48202 | + | 0.511604i |
(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 | 546.2.z.a.131.12 | ✓ | 32 | |
3.2 | odd | 2 | 546.2.z.b.131.2 | yes | 32 | ||
7.3 | odd | 6 | 546.2.z.b.521.2 | yes | 32 | ||
21.17 | even | 6 | inner | 546.2.z.a.521.12 | yes | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.z.a.131.12 | ✓ | 32 | 1.1 | even | 1 | trivial | |
546.2.z.a.521.12 | yes | 32 | 21.17 | even | 6 | inner | |
546.2.z.b.131.2 | yes | 32 | 3.2 | odd | 2 | ||
546.2.z.b.521.2 | yes | 32 | 7.3 | odd | 6 |