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 | 131.2 | ||
Character | \(\chi\) | \(=\) | 546.131 |
Dual form | 546.2.z.b.521.2 |
$q$-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 | ||||
\(3\) | −1.44180 | − | 0.959803i | −0.832422 | − | 0.554142i | ||||
\(4\) | 0.500000 | + | 0.866025i | 0.250000 | + | 0.433013i | ||||
\(5\) | 1.50901 | − | 2.61368i | 0.674849 | − | 1.16887i | −0.301664 | − | 0.953414i | \(-0.597542\pi\) |
0.976513 | − | 0.215459i | \(-0.0691247\pi\) | |||||||
\(6\) | 0.768732 | + | 1.55211i | 0.313833 | + | 0.633647i | ||||
\(7\) | 0.237102 | − | 2.63511i | 0.0896160 | − | 0.995976i | ||||
\(8\) | − | 1.00000i | − | 0.353553i | ||||||
\(9\) | 1.15756 | + | 2.76768i | 0.385853 | + | 0.922560i | ||||
\(10\) | −2.61368 | + | 1.50901i | −0.826518 | + | 0.477190i | ||||
\(11\) | 4.75486 | − | 2.74522i | 1.43364 | − | 0.827715i | 0.436248 | − | 0.899827i | \(-0.356307\pi\) |
0.997397 | + | 0.0721117i | \(0.0229738\pi\) | |||||||
\(12\) | 0.110315 | − | 1.72853i | 0.0318452 | − | 0.498985i | ||||
\(13\) | − | 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 | 0.929440 | − | 0.368973i | \(-0.120290\pi\) |
−0.784260 | + | 0.620432i | \(0.786957\pi\) | |||||||
\(18\) | 0.381366 | − | 2.97566i | 0.0898889 | − | 0.701370i | ||||
\(19\) | 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 | ||||||||
\(21\) | −2.87103 | + | 3.57172i | −0.626511 | + | 0.779413i | ||||
\(22\) | −5.49044 | −1.17057 | ||||||||
\(23\) | −3.22876 | − | 1.86412i | −0.673242 | − | 0.388697i | 0.124062 | − | 0.992274i | \(-0.460408\pi\) |
−0.797304 | + | 0.603578i | \(0.793741\pi\) | |||||||
\(24\) | −0.959803 | + | 1.44180i | −0.195919 | + | 0.294306i | ||||
\(25\) | −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 | \(-0.936768\pi\) | ||
0.980334 | − | 0.197344i | \(-0.0632315\pi\) | |||||||
\(30\) | 5.21675 | + | 0.332932i | 0.952443 | + | 0.0607848i | ||||
\(31\) | 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 | ||||
\(33\) | −9.49041 | − | 0.605677i | −1.65207 | − | 0.105435i | ||||
\(34\) | − | 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 | ||||
\(39\) | −0.959803 | + | 1.44180i | −0.153691 | + | 0.230872i | ||||
\(40\) | −2.61368 | − | 1.50901i | −0.413259 | − | 0.238595i | ||||
\(41\) | −4.26441 | −0.665989 | −0.332994 | − | 0.942929i | \(-0.608059\pi\) | ||||
−0.332994 | + | 0.942929i | \(0.608059\pi\) | |||||||
\(42\) | 4.27225 | − | 1.65768i | 0.659222 | − | 0.255786i | ||||
\(43\) | −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 | ||||
\(45\) | 8.98060 | + | 1.15097i | 1.33875 | + | 0.171576i | ||||
\(46\) | 1.86412 | + | 3.22876i | 0.274850 | + | 0.476054i | ||||
\(47\) | 3.89783 | − | 6.75123i | 0.568556 | − | 0.984768i | −0.428153 | − | 0.903706i | \(-0.640835\pi\) |
0.996709 | − | 0.0810620i | \(-0.0258312\pi\) | |||||||
\(48\) | 1.55211 | − | 0.768732i | 0.224028 | − | 0.110957i | ||||
\(49\) | −6.88757 | − | 1.24958i | −0.983938 | − | 0.178511i | ||||
\(50\) | 4.10843i | 0.581020i | ||||||||
\(51\) | 0.132068 | − | 2.06938i | 0.0184932 | − | 0.289771i | ||||
\(52\) | 0.866025 | − | 0.500000i | 0.120096 | − | 0.0693375i | ||||
\(53\) | −6.53582 | + | 3.77346i | −0.897764 | + | 0.518324i | −0.876474 | − | 0.481449i | \(-0.840111\pi\) |
−0.0212900 | + | 0.999773i | \(0.506777\pi\) | |||||||
\(54\) | −3.40590 | + | 3.92426i | −0.463484 | + | 0.534025i | ||||
\(55\) | − | 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 | 0.700010 | − | 0.714133i | \(-0.253179\pi\) |
−0.968462 | + | 0.249160i | \(0.919846\pi\) | |||||||
\(60\) | −4.35137 | − | 2.89670i | −0.561759 | − | 0.373963i | ||||
\(61\) | 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 | ||||||||
\(63\) | 7.56759 | − | 2.39407i | 0.953427 | − | 0.301624i | ||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | −2.61368 | − | 1.50901i | −0.324187 | − | 0.187170i | ||||
\(66\) | 7.91610 | + | 5.26974i | 0.974405 | + | 0.648660i | ||||
\(67\) | 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 | \(-0.957237\pi\) | ||
0.990989 | − | 0.133941i | \(-0.0427632\pi\) | |||||||
\(72\) | 2.76768 | − | 1.15756i | 0.326174 | − | 0.136419i | ||||
\(73\) | −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 | ||||
\(75\) | −0.453221 | + | 7.10156i | −0.0523335 | + | 0.820018i | ||||
\(76\) | 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 | ||||
\(81\) | −6.32012 | + | 6.40750i | −0.702236 | + | 0.711945i | ||||
\(82\) | 3.69309 | + | 2.13220i | 0.407833 | + | 0.235463i | ||||
\(83\) | −11.4985 | −1.26212 | −0.631061 | − | 0.775733i | \(-0.717380\pi\) | ||||
−0.631061 | + | 0.775733i | \(0.717380\pi\) | |||||||
\(84\) | −4.52871 | − | 0.700530i | −0.494123 | − | 0.0764341i | ||||
\(85\) | 3.61313 | 0.391899 | ||||||||
\(86\) | 8.90626 | + | 5.14203i | 0.960387 | + | 0.554480i | ||||
\(87\) | −2.04002 | + | 3.06448i | −0.218713 | + | 0.328547i | ||||
\(88\) | −2.74522 | − | 4.75486i | −0.292641 | − | 0.506870i | ||||
\(89\) | −2.75175 | + | 4.76616i | −0.291685 | + | 0.505212i | −0.974208 | − | 0.225651i | \(-0.927549\pi\) |
0.682524 | + | 0.730863i | \(0.260882\pi\) | |||||||
\(90\) | −7.20194 | − | 5.48707i | −0.759151 | − | 0.578388i | ||||
\(91\) | −2.63511 | − | 0.237102i | −0.276234 | − | 0.0248550i | ||||
\(92\) | − | 3.72825i | − | 0.388697i | ||||||
\(93\) | −9.72535 | − | 0.620671i | −1.00847 | − | 0.0643606i | ||||
\(94\) | −6.75123 | + | 3.89783i | −0.696336 | + | 0.402030i | ||||
\(95\) | 16.5718 | − | 9.56773i | 1.70023 | − | 0.981628i | ||||
\(96\) | −1.72853 | − | 0.110315i | −0.176418 | − | 0.0112590i | ||||
\(97\) | − | 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 | \(0.105392\pi\) |
−0.191314 | + | 0.981529i | \(0.561275\pi\) | |||||||
\(102\) | −1.14906 | + | 1.72610i | −0.113774 | + | 0.170910i | ||||
\(103\) | 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 | ||||||||
\(105\) | 5.00291 | + | 12.8937i | 0.488234 | + | 1.25830i | ||||
\(106\) | 7.54692 | 0.733021 | ||||||||
\(107\) | 9.22412 | + | 5.32555i | 0.891730 | + | 0.514840i | 0.874508 | − | 0.485011i | \(-0.161185\pi\) |
0.0172218 | + | 0.999852i | \(0.494518\pi\) | |||||||
\(108\) | 4.91173 | − | 1.69556i | 0.472631 | − | 0.163156i | ||||
\(109\) | 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 | \(0.230255\pi\) | ||||
−0.749581 | + | 0.661912i | \(0.769745\pi\) | |||||||
\(114\) | −0.699441 | + | 10.9596i | −0.0655087 | + | 1.02646i | ||||
\(115\) | −9.74444 | + | 5.62596i | −0.908674 | + | 0.524623i | ||||
\(116\) | 1.84070 | − | 1.06273i | 0.170905 | − | 0.0986719i | ||||
\(117\) | 2.76768 | − | 1.15756i | 0.255872 | − | 0.107016i | ||||
\(118\) | 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 | ||||
\(123\) | 6.14841 | + | 4.09299i | 0.554384 | + | 0.369053i | ||||
\(124\) | 4.87257 | + | 2.81318i | 0.437570 | + | 0.252631i | ||||
\(125\) | 2.69077 | 0.240670 | ||||||||
\(126\) | −7.75076 | − | 1.71047i | −0.690493 | − | 0.152381i | ||||
\(127\) | −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 | ||||
\(129\) | 14.8275 | + | 9.87067i | 1.30549 | + | 0.869064i | ||||
\(130\) | 1.50901 | + | 2.61368i | 0.132349 | + | 0.229235i | ||||
\(131\) | 7.37542 | − | 12.7746i | 0.644393 | − | 1.11612i | −0.340048 | − | 0.940408i | \(-0.610443\pi\) |
0.984441 | − | 0.175714i | \(-0.0562233\pi\) | |||||||
\(132\) | −4.22067 | − | 8.52178i | −0.367363 | − | 0.741725i | ||||
\(133\) | 9.65573 | − | 13.7176i | 0.837258 | − | 1.18946i | ||||
\(134\) | − | 9.94757i | − | 0.859339i | ||||||
\(135\) | −11.8435 | − | 10.2791i | −1.01933 | − | 0.884681i | ||||
\(136\) | 1.03680 | − | 0.598594i | 0.0889045 | − | 0.0513290i | ||||
\(137\) | −3.58345 | + | 2.06890i | −0.306154 | + | 0.176758i | −0.645204 | − | 0.764010i | \(-0.723228\pi\) |
0.339050 | + | 0.940768i | \(0.389894\pi\) | |||||||
\(138\) | 0.411281 | − | 6.44440i | 0.0350106 | − | 0.548584i | ||||
\(139\) | 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 | ||||
\(144\) | −2.97566 | − | 0.381366i | −0.247972 | − | 0.0317805i | ||||
\(145\) | −5.55526 | − | 3.20733i | −0.461340 | − | 0.266355i | ||||
\(146\) | 0.578700 | 0.0478935 | ||||||||
\(147\) | 8.73113 | + | 8.41234i | 0.720131 | + | 0.693838i | ||||
\(148\) | −9.53681 | −0.783921 | ||||||||
\(149\) | −15.6769 | − | 9.05107i | −1.28430 | − | 0.741492i | −0.306671 | − | 0.951816i | \(-0.599215\pi\) |
−0.977632 | + | 0.210323i | \(0.932548\pi\) | |||||||
\(150\) | 3.94328 | − | 5.92352i | 0.321968 | − | 0.483654i | ||||
\(151\) | 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 | ||||||
\(156\) | −1.72853 | − | 0.110315i | −0.138393 | − | 0.00883226i | ||||
\(157\) | 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 | ||||
\(159\) | 13.0451 | + | 0.832537i | 1.03454 | + | 0.0660245i | ||||
\(160\) | − | 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 | ||||
\(165\) | −15.9042 | + | 23.8909i | −1.23814 | + | 1.85991i | ||||
\(166\) | 9.95798 | + | 5.74924i | 0.772889 | + | 0.446228i | ||||
\(167\) | 8.02801 | 0.621226 | 0.310613 | − | 0.950536i | \(-0.399466\pi\) | ||||
0.310613 | + | 0.950536i | \(0.399466\pi\) | |||||||
\(168\) | 3.57172 | + | 2.87103i | 0.275564 | + | 0.221505i | ||||
\(169\) | −1.00000 | −0.0769231 | ||||||||
\(170\) | −3.12907 | − | 1.80657i | −0.239988 | − | 0.138557i | ||||
\(171\) | −2.41802 | + | 18.8669i | −0.184910 | + | 1.44279i | ||||
\(172\) | −5.14203 | − | 8.90626i | −0.392076 | − | 0.679096i | ||||
\(173\) | −4.44940 | + | 7.70658i | −0.338281 | + | 0.585921i | −0.984110 | − | 0.177562i | \(-0.943179\pi\) |
0.645828 | + | 0.763483i | \(0.276512\pi\) | |||||||
\(174\) | 3.29895 | − | 1.63391i | 0.250093 | − | 0.123866i | ||||
\(175\) | −9.86278 | + | 4.56946i | −0.745556 | + | 0.345419i | ||||
\(176\) | 5.49044i | 0.413857i | ||||||||
\(177\) | −0.454943 | + | 7.12855i | −0.0341956 | + | 0.535815i | ||||
\(178\) | 4.76616 | − | 2.75175i | 0.357239 | − | 0.206252i | ||||
\(179\) | −15.8867 | + | 9.17219i | −1.18743 | + | 0.685562i | −0.957721 | − | 0.287698i | \(-0.907110\pi\) |
−0.229707 | + | 0.973260i | \(0.573777\pi\) | |||||||
\(180\) | 3.49353 | + | 8.35291i | 0.260392 | + | 0.622589i | ||||
\(181\) | − | 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 | ||||
\(186\) | 8.11207 | + | 5.40019i | 0.594806 | + | 0.395961i | ||||
\(187\) | 5.69246 | + | 3.28654i | 0.416274 | + | 0.240336i | ||||
\(188\) | 7.79565 | 0.568556 | ||||||||
\(189\) | −13.2088 | − | 3.81164i | −0.960796 | − | 0.277256i | ||||
\(190\) | −19.1355 | −1.38823 | ||||||||
\(191\) | 0.471000 | + | 0.271932i | 0.0340803 | + | 0.0196763i | 0.516943 | − | 0.856020i | \(-0.327070\pi\) |
−0.482863 | + | 0.875696i | \(0.660403\pi\) | |||||||
\(192\) | 1.44180 | + | 0.959803i | 0.104053 | + | 0.0692678i | ||||
\(193\) | 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 | \(-0.959659\pi\) | ||
0.991980 | − | 0.126396i | \(-0.0403410\pi\) | |||||||
\(198\) | −6.35550 | − | 15.1958i | −0.451666 | − | 1.07992i | ||||
\(199\) | −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 | ||||
\(201\) | 1.09737 | − | 17.1947i | 0.0774022 | − | 1.21282i | ||||
\(202\) | − | 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 | ||||
\(207\) | 1.42183 | − | 11.0940i | 0.0988238 | − | 0.771086i | ||||
\(208\) | 0.866025 | + | 0.500000i | 0.0600481 | + | 0.0346688i | ||||
\(209\) | 34.8116 | 2.40797 | ||||||||
\(210\) | 2.11421 | − | 13.6677i | 0.145894 | − | 0.943164i | ||||
\(211\) | −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 | ||||
\(213\) | −2.16648 | + | 3.25444i | −0.148444 | + | 0.222990i | ||||
\(214\) | −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 | ||||||
\(219\) | 1.00030 | + | 0.0638392i | 0.0675942 | + | 0.00431385i | ||||
\(220\) | 14.3503 | − | 8.28512i | 0.967494 | − | 0.558583i | ||||
\(221\) | 1.03680 | − | 0.598594i | 0.0697424 | − | 0.0402658i | ||||
\(222\) | −16.4847 | − | 1.05205i | −1.10638 | − | 0.0706091i | ||||
\(223\) | − | 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 | 0.787583 | − | 0.616208i | \(-0.211332\pi\) |
−0.927444 | + | 0.373963i | \(0.877999\pi\) | |||||||
\(228\) | 6.08554 | − | 9.14158i | 0.403025 | − | 0.605416i | ||||
\(229\) | 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 | ||||||||
\(231\) | −3.84622 | + | 24.8646i | −0.253063 | + | 1.63597i | ||||
\(232\) | −2.12546 | −0.139543 | ||||||||
\(233\) | 14.8550 | + | 8.57656i | 0.973186 | + | 0.561869i | 0.900206 | − | 0.435464i | \(-0.143416\pi\) |
0.0729798 | + | 0.997333i | \(0.476749\pi\) | |||||||
\(234\) | −2.97566 | − | 0.381366i | −0.194525 | − | 0.0249307i | ||||
\(235\) | −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 | \(-0.831247\pi\) | ||
0.862730 | − | 0.505664i | \(-0.168753\pi\) | |||||||
\(240\) | 0.332932 | − | 5.21675i | 0.0214907 | − | 0.336740i | ||||
\(241\) | 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 | ||||
\(243\) | 15.2623 | − | 3.17225i | 0.979075 | − | 0.203500i | ||||
\(244\) | 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 | ||||
\(249\) | 16.5785 | + | 11.0363i | 1.05062 | + | 0.699395i | ||||
\(250\) | −2.33028 | − | 1.34539i | −0.147380 | − | 0.0850897i | ||||
\(251\) | −25.7693 | −1.62654 | −0.813272 | − | 0.581884i | \(-0.802316\pi\) | ||||
−0.813272 | + | 0.581884i | \(0.802316\pi\) | |||||||
\(252\) | 5.85712 | + | 5.35669i | 0.368964 | + | 0.337440i | ||||
\(253\) | −20.4697 | −1.28692 | ||||||||
\(254\) | 5.16871 | + | 2.98416i | 0.324314 | + | 0.187243i | ||||
\(255\) | −5.20941 | − | 3.46790i | −0.326226 | − | 0.217168i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −2.76476 | + | 4.78871i | −0.172461 | + | 0.298711i | −0.939280 | − | 0.343153i | \(-0.888505\pi\) |
0.766819 | + | 0.641864i | \(0.221839\pi\) | |||||||
\(258\) | −7.90569 | − | 15.9620i | −0.492187 | − | 0.993752i | ||||
\(259\) | 20.6330 | + | 14.5235i | 1.28208 | + | 0.902446i | ||||
\(260\) | − | 3.01802i | − | 0.187170i | ||||||
\(261\) | 5.88259 | − | 2.46034i | 0.364123 | − | 0.152291i | ||||
\(262\) | −12.7746 | + | 7.37542i | −0.789217 | + | 0.455655i | ||||
\(263\) | 20.3542 | − | 11.7515i | 1.25510 | − | 0.724630i | 0.282980 | − | 0.959126i | \(-0.408677\pi\) |
0.972117 | + | 0.234495i | \(0.0753438\pi\) | |||||||
\(264\) | −0.605677 | + | 9.49041i | −0.0372769 | + | 0.584095i | ||||
\(265\) | 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 | 0.772606 | − | 0.634886i | \(-0.218953\pi\) |
−0.936130 | + | 0.351654i | \(0.885620\pi\) | |||||||
\(270\) | 5.11724 | + | 14.8237i | 0.311425 | + | 0.902140i | ||||
\(271\) | −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 | ||||||||
\(273\) | 3.57172 | + | 2.87103i | 0.216170 | + | 0.173763i | ||||
\(274\) | 4.13781 | 0.249974 | ||||||||
\(275\) | −19.5350 | − | 11.2785i | −1.17801 | − | 0.680122i | ||||
\(276\) | −3.57838 | + | 5.37538i | −0.215393 | + | 0.323560i | ||||
\(277\) | −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 | \(0.172445\pi\) | ||||
−0.856807 | + | 0.515637i | \(0.827555\pi\) | |||||||
\(282\) | 13.4751 | + | 0.859977i | 0.802428 | + | 0.0512109i | ||||
\(283\) | −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 | ||||
\(285\) | −33.0763 | − | 2.11093i | −1.95927 | − | 0.125040i | ||||
\(286\) | 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 | ||||
\(291\) | −9.20588 | + | 13.8289i | −0.539658 | + | 0.810664i | ||||
\(292\) | −0.501169 | − | 0.289350i | −0.0293287 | − | 0.0169329i | ||||
\(293\) | 6.07556 | 0.354938 | 0.177469 | − | 0.984126i | \(-0.443209\pi\) | ||||
0.177469 | + | 0.984126i | \(0.443209\pi\) | |||||||
\(294\) | −3.35521 | − | 11.6509i | −0.195680 | − | 0.679492i | ||||
\(295\) | −12.4464 | −0.724659 | ||||||||
\(296\) | 8.25912 | + | 4.76840i | 0.480051 | + | 0.277158i | ||||
\(297\) | −9.30938 | − | 26.9675i | −0.540185 | − | 1.56482i | ||||
\(298\) | 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 | ||||||
\(303\) | 1.67267 | − | 26.2092i | 0.0960924 | − | 1.50568i | ||||
\(304\) | −5.49095 | + | 3.17020i | −0.314928 | + | 0.181824i | ||||
\(305\) | 24.9337 | − | 14.3955i | 1.42770 | − | 0.824284i | ||||
\(306\) | 3.31344 | − | 1.38581i | 0.189416 | − | 0.0792217i | ||||
\(307\) | − | 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 | 0.839603 | − | 0.543200i | \(-0.182787\pi\) |
−0.890227 | + | 0.455518i | \(0.849454\pi\) | |||||||
\(312\) | 1.44180 | + | 0.959803i | 0.0816257 | + | 0.0543381i | ||||
\(313\) | 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 | ||||||||
\(315\) | 5.16224 | − | 23.3919i | 0.290859 | − | 1.31799i | ||||
\(316\) | 1.29846 | 0.0730443 | ||||||||
\(317\) | 23.6484 | + | 13.6534i | 1.32822 | + | 0.766850i | 0.985025 | − | 0.172412i | \(-0.0551561\pi\) |
0.343199 | + | 0.939263i | \(0.388489\pi\) | |||||||
\(318\) | −10.8811 | − | 7.24355i | −0.610183 | − | 0.406198i | ||||
\(319\) | −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 | ||||||||
\(324\) | −8.70912 | − | 2.26963i | −0.483840 | − | 0.126091i | ||||
\(325\) | −3.55800 | + | 2.05422i | −0.197363 | + | 0.113947i | ||||
\(326\) | −10.9299 | + | 6.31039i | −0.605352 | + | 0.349500i | ||||
\(327\) | 0.344048 | − | 5.39092i | 0.0190259 | − | 0.298119i | ||||
\(328\) | 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 | ||||
\(333\) | −28.3783 | − | 3.63702i | −1.55512 | − | 0.199307i | ||||
\(334\) | −6.95246 | − | 4.01401i | −0.380422 | − | 0.219637i | ||||
\(335\) | 30.0219 | 1.64027 | ||||||||
\(336\) | −1.65768 | − | 4.27225i | −0.0904339 | − | 0.233070i | ||||
\(337\) | −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 | ||||
\(339\) | 13.5068 | − | 20.2896i | 0.733587 | − | 1.10198i | ||||
\(340\) | 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 | ||||||||
\(345\) | 19.4493 | + | 1.24125i | 1.04712 | + | 0.0668269i | ||||
\(346\) | 7.70658 | − | 4.44940i | 0.414308 | − | 0.239201i | ||||
\(347\) | 8.89289 | − | 5.13431i | 0.477395 | − | 0.275624i | −0.241935 | − | 0.970292i | \(-0.577782\pi\) |
0.719330 | + | 0.694668i | \(0.244449\pi\) | |||||||
\(348\) | −3.67393 | − | 0.234470i | −0.196943 | − | 0.0125689i | ||||
\(349\) | 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 | 0.916140 | − | 0.400859i | \(-0.131288\pi\) |
−0.805224 | + | 0.592971i | \(0.797955\pi\) | |||||||
\(354\) | 3.95827 | − | 5.94603i | 0.210380 | − | 0.316028i | ||||
\(355\) | −5.89962 | − | 3.40615i | −0.313119 | − | 0.180780i | ||||
\(356\) | −5.50349 | −0.291685 | ||||||||
\(357\) | −5.42172 | − | 0.838666i | −0.286948 | − | 0.0443869i | ||||
\(358\) | 18.3444 | 0.969531 | ||||||||
\(359\) | 11.1296 | + | 6.42566i | 0.587396 | + | 0.339134i | 0.764067 | − | 0.645136i | \(-0.223199\pi\) |
−0.176671 | + | 0.984270i | \(0.556533\pi\) | |||||||
\(360\) | 1.15097 | − | 8.98060i | 0.0606614 | − | 0.473319i | ||||
\(361\) | 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 | ||||||||
\(366\) | −1.05237 | + | 16.4897i | −0.0550084 | + | 0.861931i | ||||
\(367\) | 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 | ||||
\(369\) | −4.93630 | − | 11.8025i | −0.256973 | − | 0.614415i | ||||
\(370\) | − | 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 | ||||
\(375\) | −3.87955 | − | 2.58261i | −0.200339 | − | 0.133366i | ||||
\(376\) | −6.75123 | − | 3.89783i | −0.348168 | − | 0.201015i | ||||
\(377\) | −2.12546 | −0.109467 | ||||||||
\(378\) | 9.53330 | + | 9.90536i | 0.490340 | + | 0.509477i | ||||
\(379\) | 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 | ||||
\(381\) | 8.60510 | + | 5.72840i | 0.440852 | + | 0.293475i | ||||
\(382\) | −0.271932 | − | 0.471000i | −0.0139132 | − | 0.0240984i | ||||
\(383\) | −5.50293 | + | 9.53136i | −0.281187 | + | 0.487030i | −0.971677 | − | 0.236312i | \(-0.924061\pi\) |
0.690491 | + | 0.723341i | \(0.257395\pi\) | |||||||
\(384\) | −0.768732 | − | 1.55211i | −0.0392292 | − | 0.0792059i | ||||
\(385\) | −43.6643 | − | 3.92883i | −2.22534 | − | 0.200232i | ||||
\(386\) | − | 13.7110i | − | 0.697870i | ||||||
\(387\) | −11.9044 | − | 28.4630i | −0.605135 | − | 1.44686i | ||||
\(388\) | 8.30642 | − | 4.79571i | 0.421695 | − | 0.243466i | ||||
\(389\) | 16.2200 | − | 9.36461i | 0.822385 | − | 0.474804i | −0.0288530 | − | 0.999584i | \(-0.509185\pi\) |
0.851238 | + | 0.524779i | \(0.175852\pi\) | |||||||
\(390\) | 0.332932 | − | 5.21675i | 0.0168587 | − | 0.264160i | ||||
\(391\) | − | 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 | ||||
\(396\) | −2.09387 | + | 16.3377i | −0.105221 | + | 0.821000i | ||||
\(397\) | −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 | ||||||||
\(399\) | −27.0878 | + | 10.5104i | −1.35608 | + | 0.526176i | ||||
\(400\) | 4.10843 | 0.205422 | ||||||||
\(401\) | −17.6755 | − | 10.2050i | −0.882673 | − | 0.509612i | −0.0111344 | − | 0.999938i | \(-0.503544\pi\) |
−0.871539 | + | 0.490326i | \(0.836878\pi\) | |||||||
\(402\) | −9.54770 | + | 14.3424i | −0.476196 | + | 0.715333i | ||||
\(403\) | −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 | ||||||||
\(408\) | −2.06938 | − | 0.132068i | −0.102450 | − | 0.00653833i | ||||
\(409\) | 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 | ||||
\(411\) | 7.15234 | + | 0.456462i | 0.352799 | + | 0.0225156i | ||||
\(412\) | 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 | ||||
\(417\) | 6.38150 | − | 9.58617i | 0.312504 | − | 0.469437i | ||||
\(418\) | −30.1477 | − | 17.4058i | −1.47457 | − | 0.851346i | ||||
\(419\) | −11.3462 | −0.554298 | −0.277149 | − | 0.960827i | \(-0.589390\pi\) | ||||
−0.277149 | + | 0.960827i | \(0.589390\pi\) | |||||||
\(420\) | −8.66483 | + | 10.7795i | −0.422800 | + | 0.525986i | ||||
\(421\) | 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 | ||||
\(423\) | 23.1972 | + | 2.97300i | 1.12789 | + | 0.144552i | ||||
\(424\) | 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 | ||||||||
\(429\) | −0.605677 | + | 9.49041i | −0.0292424 | + | 0.458201i | ||||
\(430\) | 26.8793 | − | 15.5187i | 1.29623 | − | 0.748380i | ||||
\(431\) | 24.3157 | − | 14.0387i | 1.17125 | − | 0.676220i | 0.217274 | − | 0.976111i | \(-0.430284\pi\) |
0.953973 | + | 0.299891i | \(0.0969503\pi\) | |||||||
\(432\) | 3.92426 | + | 3.40590i | 0.188806 | + | 0.163866i | ||||
\(433\) | 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 | ||||
\(438\) | −0.834368 | − | 0.555438i | −0.0398676 | − | 0.0265398i | ||||
\(439\) | 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 | ||||||||
\(441\) | −4.51433 | − | 20.5090i | −0.214968 | − | 0.976621i | ||||
\(442\) | −1.19719 | −0.0569444 | ||||||||
\(443\) | 14.3748 | + | 8.29928i | 0.682966 | + | 0.394311i | 0.800972 | − | 0.598702i | \(-0.204317\pi\) |
−0.118005 | + | 0.993013i | \(0.537650\pi\) | |||||||
\(444\) | 13.7501 | + | 9.15345i | 0.652553 | + | 0.434404i | ||||
\(445\) | 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 | \(0.127102\pi\) | ||||
−0.921332 | + | 0.388776i | \(0.872898\pi\) | |||||||
\(450\) | −11.3708 | + | 4.75575i | −0.536026 | + | 0.224188i | ||||
\(451\) | −20.2767 | + | 11.7067i | −0.954791 | + | 0.551249i | ||||
\(452\) | −12.1871 | + | 7.03622i | −0.573233 | + | 0.330956i | ||||
\(453\) | 0.677344 | − | 10.6134i | 0.0318244 | − | 0.498659i | ||||
\(454\) | 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 | ||||
\(459\) | 5.88026 | − | 2.02991i | 0.274467 | − | 0.0947479i | ||||
\(460\) | −9.74444 | − | 5.62596i | −0.454337 | − | 0.262312i | ||||
\(461\) | 25.6242 | 1.19344 | 0.596720 | − | 0.802450i | \(-0.296470\pi\) | ||||
0.596720 | + | 0.802450i | \(0.296470\pi\) | |||||||
\(462\) | 15.7632 | − | 19.6103i | 0.733372 | − | 0.912354i | ||||
\(463\) | 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 | ||||
\(465\) | −16.2979 | + | 24.4824i | −0.755796 | + | 1.13534i | ||||
\(466\) | −8.57656 | − | 14.8550i | −0.397301 | − | 0.688146i | ||||
\(467\) | −3.72197 | + | 6.44665i | −0.172232 | + | 0.298315i | −0.939200 | − | 0.343371i | \(-0.888431\pi\) |
0.766968 | + | 0.641686i | \(0.221765\pi\) | |||||||
\(468\) | 2.38632 | + | 1.81810i | 0.110307 | + | 0.0840419i | ||||
\(469\) | 23.8803 | − | 11.0639i | 1.10269 | − | 0.510881i | ||||
\(470\) | 23.5274i | 1.08524i | ||||||||
\(471\) | −17.0929 | − | 1.09087i | −0.787598 | − | 0.0502644i | ||||
\(472\) | −3.57153 | + | 2.06202i | −0.164393 | + | 0.0949122i | ||||
\(473\) | −48.8993 | + | 28.2320i | −2.24839 | + | 1.29811i | ||||
\(474\) | 2.24444 | + | 0.143240i | 0.103091 | + | 0.00657923i | ||||
\(475\) | − | 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 | \(-0.929766\pi\) |
0.298340 | − | 0.954460i | \(-0.403567\pi\) | |||||||
\(480\) | −2.89670 | + | 4.35137i | −0.132216 | + | 0.198612i | ||||
\(481\) | 8.25912 | + | 4.76840i | 0.376583 | + | 0.217420i | ||||
\(482\) | −14.5877 | −0.664454 | ||||||||
\(483\) | 15.9280 | − | 6.18024i | 0.724749 | − | 0.281211i | ||||
\(484\) | 19.1449 | 0.870224 | ||||||||
\(485\) | −25.0689 | − | 14.4736i | −1.13832 | − | 0.657210i | ||||
\(486\) | −14.8036 | − | 4.88388i | −0.671507 | − | 0.221537i | ||||
\(487\) | 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 | \(0.0158694\pi\) | ||||
−0.998757 | + | 0.0498344i | \(0.984131\pi\) | |||||||
\(492\) | −0.470428 | + | 7.37118i | −0.0212085 | + | 0.332318i | ||||
\(493\) | 2.20366 | − | 1.27229i | 0.0992480 | − | 0.0573009i | ||||
\(494\) | −5.49095 | + | 3.17020i | −0.247050 | + | 0.142634i | ||||
\(495\) | 45.8612 | − | 19.1810i | 2.06131 | − | 0.862122i | ||||
\(496\) | 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 | ||||
\(501\) | −11.5748 | − | 7.70531i | −0.517122 | − | 0.344248i | ||||
\(502\) | 22.3169 | + | 12.8846i | 0.996050 | + | 0.575070i | ||||
\(503\) | −5.85678 | −0.261141 | −0.130570 | − | 0.991439i | \(-0.541681\pi\) | ||||
−0.130570 | + | 0.991439i | \(0.541681\pi\) | |||||||
\(504\) | −2.39407 | − | 7.56759i | −0.106640 | − | 0.337087i | ||||
\(505\) | 45.7613 | 2.03635 | ||||||||
\(506\) | 17.7273 | + | 10.2349i | 0.788074 | + | 0.454995i | ||||
\(507\) | 1.44180 | + | 0.959803i | 0.0640325 | + | 0.0426263i | ||||
\(508\) | −2.98416 | − | 5.16871i | −0.132401 | − | 0.229324i | ||||
\(509\) | −10.6895 | + | 18.5147i | −0.473802 | + | 0.820649i | −0.999550 | − | 0.0299913i | \(-0.990452\pi\) |
0.525748 | + | 0.850640i | \(0.323785\pi\) | |||||||
\(510\) | 2.77753 | + | 5.60799i | 0.122991 | + | 0.248326i | ||||
\(511\) | 0.643640 | + | 1.38924i | 0.0284729 | + | 0.0614563i | ||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | 21.5948 | − | 24.8814i | 0.953433 | − | 1.09854i | ||||
\(514\) | 4.78871 | − | 2.76476i | 0.211221 | − | 0.121948i | ||||
\(515\) | 50.8896 | − | 29.3811i | 2.24246 | − | 1.29469i | ||||
\(516\) | −1.13449 | + | 17.7764i | −0.0499430 | + | 0.782561i | ||||
\(517\) | − | 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 | 0.805261 | − | 0.592920i | \(-0.202025\pi\) |
−0.916115 | + | 0.400916i | \(0.868692\pi\) | |||||||
\(522\) | −6.32464 | − | 0.810577i | −0.276822 | − | 0.0354780i | ||||
\(523\) | −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 | ||||||||
\(525\) | 18.6059 | + | 2.87808i | 0.812028 | + | 0.125610i | ||||
\(526\) | −23.5031 | −1.02478 | ||||||||
\(527\) | 5.83338 | + | 3.36790i | 0.254106 | + | 0.146708i | ||||
\(528\) | 5.26974 | − | 7.91610i | 0.229336 | − | 0.344504i | ||||
\(529\) | −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 | ||||||||
\(534\) | −9.51298 | − | 0.607117i | −0.411667 | − | 0.0262725i | ||||
\(535\) | 27.8386 | − | 16.0726i | 1.20357 | − | 0.694879i | ||||
\(536\) | 8.61485 | − | 4.97378i | 0.372105 | − | 0.214835i | ||||
\(537\) | 31.7089 | + | 2.02366i | 1.36834 | + | 0.0873273i | ||||
\(538\) | 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 | ||||
\(543\) | −17.2355 | + | 25.8908i | −0.739645 | + | 1.11108i | ||||
\(544\) | 1.03680 | + | 0.598594i | 0.0444522 | + | 0.0256645i | ||||
\(545\) | 9.41254 | 0.403189 | ||||||||
\(546\) | −1.65768 | − | 4.27225i | −0.0709422 | − | 0.182835i | ||||
\(547\) | 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 | ||||
\(549\) | −3.63812 | + | 28.3869i | −0.155271 | + | 1.21152i | ||||
\(550\) | 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 | ||||||||
\(555\) | 3.17511 | − | 49.7511i | 0.134776 | − | 2.11182i | ||||
\(556\) | −5.75800 | + | 3.32438i | −0.244194 | + | 0.140985i | ||||
\(557\) | 11.6975 | − | 6.75356i | 0.495639 | − | 0.286157i | −0.231272 | − | 0.972889i | \(-0.574289\pi\) |
0.726911 | + | 0.686732i | \(0.240955\pi\) | |||||||
\(558\) | −6.51284 | − | 15.5720i | −0.275710 | − | 0.659214i | ||||
\(559\) | 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 | \(0.0618835\pi\) |
−0.323273 | + | 0.946306i | \(0.604783\pi\) | |||||||
\(564\) | −11.2397 | − | 7.48229i | −0.473279 | − | 0.315061i | ||||
\(565\) | 36.7809 | + | 21.2354i | 1.54738 | + | 0.893382i | ||||
\(566\) | 8.91431 | 0.374696 | ||||||||
\(567\) | 15.3859 | + | 18.1734i | 0.646149 | + | 0.763212i | ||||
\(568\) | −2.25721 | −0.0947104 | ||||||||
\(569\) | −27.3771 | − | 15.8062i | −1.14771 | − | 0.662629i | −0.199380 | − | 0.979922i | \(-0.563893\pi\) |
−0.948328 | + | 0.317293i | \(0.897226\pi\) | |||||||
\(570\) | 27.5894 | + | 18.3663i | 1.15559 | + | 0.769278i | ||||
\(571\) | −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 | ||||||||
\(576\) | −1.15756 | − | 2.76768i | −0.0482316 | − | 0.115320i | ||||
\(577\) | 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 | ||||
\(579\) | 1.51252 | − | 23.6999i | 0.0628584 | − | 0.984934i | ||||
\(580\) | − | 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 | ||||
\(585\) | 1.15097 | − | 8.98060i | 0.0475867 | − | 0.371302i | ||||
\(586\) | −5.26159 | − | 3.03778i | −0.217354 | − | 0.125489i | ||||
\(587\) | −35.5637 | −1.46787 | −0.733935 | − | 0.679219i | \(-0.762319\pi\) | ||||
−0.733935 | + | 0.679219i | \(0.762319\pi\) | |||||||
\(588\) | −2.91974 | + | 11.7675i | −0.120408 | + | 0.485285i | ||||
\(589\) | 35.6734 | 1.46990 | ||||||||
\(590\) | 10.7789 | + | 6.22322i | 0.443761 | + | 0.256206i | ||||
\(591\) | −3.40548 | + | 5.11565i | −0.140083 | + | 0.210430i | ||||
\(592\) | −4.76840 | − | 8.25912i | −0.195980 | − | 0.339448i | ||||
\(593\) | 7.87130 | − | 13.6335i | 0.323236 | − | 0.559861i | −0.657918 | − | 0.753090i | \(-0.728563\pi\) |
0.981154 | + | 0.193229i | \(0.0618960\pi\) | |||||||
\(594\) | −5.42161 | + | 28.0093i | −0.222451 | + | 1.14923i | ||||
\(595\) | 0.856681 | − | 9.52099i | 0.0351205 | − | 0.390323i | ||||
\(596\) | − | 18.1021i | − | 0.741492i | ||||||
\(597\) | 35.9151 | + | 2.29210i | 1.46991 | + | 0.0938094i | ||||
\(598\) | 3.22876 | − | 1.86412i | 0.132034 | − | 0.0762297i | ||||
\(599\) | −23.5223 | + | 13.5806i | −0.961094 | + | 0.554888i | −0.896510 | − | 0.443024i | \(-0.853906\pi\) |
−0.0645844 | + | 0.997912i | \(0.520572\pi\) | |||||||
\(600\) | 7.10156 | + | 0.453221i | 0.289920 | + | 0.0185027i | ||||
\(601\) | − | 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 | ||||
\(606\) | −14.5532 | + | 21.8615i | −0.591183 | + | 0.888064i | ||||
\(607\) | −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 | ||||||||
\(609\) | 7.59153 | + | 6.10226i | 0.307624 | + | 0.247276i | ||||
\(610\) | −28.7910 | −1.16571 | ||||||||
\(611\) | −6.75123 | − | 3.89783i | −0.273126 | − | 0.157689i | ||||
\(612\) | −3.56243 | − | 0.456567i | −0.144003 | − | 0.0184556i | ||||
\(613\) | 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 | \(-0.936352\pi\) | ||
0.980075 | − | 0.198627i | \(-0.0636484\pi\) | |||||||
\(618\) | −2.14789 | + | 33.6554i | −0.0864006 | + | 1.35382i | ||||
\(619\) | −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 | ||||
\(621\) | −12.6980 | + | 14.6306i | −0.509555 | + | 0.587107i | ||||
\(622\) | 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 | ||||
\(627\) | −50.1913 | − | 33.4123i | −2.00445 | − | 1.33436i | ||||
\(628\) | 8.56382 | + | 4.94432i | 0.341734 | + | 0.197300i | ||||
\(629\) | −11.4174 | −0.455240 | ||||||||
\(630\) | −16.1666 | + | 17.6769i | −0.644093 | + | 0.704264i | ||||
\(631\) | −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 | ||||
\(633\) | 10.0133 | + | 6.66583i | 0.397992 | + | 0.264943i | ||||
\(634\) | −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 | ||||||||
\(639\) | 6.24724 | − | 2.61285i | 0.247137 | − | 0.103363i | ||||
\(640\) | 2.61368 | − | 1.50901i | 0.103315 | − | 0.0596488i | ||||
\(641\) | −24.6391 | + | 14.2254i | −0.973186 | + | 0.561869i | −0.900206 | − | 0.435464i | \(-0.856584\pi\) |
−0.0729801 | + | 0.997333i | \(0.523251\pi\) | |||||||
\(642\) | −1.17498 | + | 18.4108i | −0.0463726 | + | 0.726616i | ||||
\(643\) | 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 | \(-0.865442\pi\) |
0.100700 | − | 0.994917i | \(-0.467892\pi\) | |||||||
\(648\) | 6.40750 | + | 6.32012i | 0.251710 | + | 0.248278i | ||||
\(649\) | −19.6092 | − | 11.3214i | −0.769730 | − | 0.444404i | ||||
\(650\) | 4.10843 | 0.161146 | ||||||||
\(651\) | −3.94143 | + | 25.4802i | −0.154477 | + | 0.998647i | ||||
\(652\) | 12.6208 | 0.494268 | ||||||||
\(653\) | −19.8709 | − | 11.4724i | −0.777607 | − | 0.448952i | 0.0579746 | − | 0.998318i | \(-0.481536\pi\) |
−0.835581 | + | 0.549367i | \(0.814869\pi\) | |||||||
\(654\) | −2.99342 | + | 4.49665i | −0.117052 | + | 0.175833i | ||||
\(655\) | −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 | \(0.141974\pi\) | ||||
−0.902170 | + | 0.431381i | \(0.858026\pi\) | |||||||
\(660\) | −28.6422 | − | 1.82794i | −1.11490 | − | 0.0711527i | ||||
\(661\) | −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 | ||||
\(663\) | −2.06938 | − | 0.132068i | −0.0803681 | − | 0.00512908i | ||||
\(664\) | 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 | ||||
\(669\) | −7.87557 | + | 11.8305i | −0.304487 | + | 0.457395i | ||||
\(670\) | −25.9998 | − | 15.0110i | −1.00446 | − | 0.579924i | ||||
\(671\) | 52.3772 | 2.02200 | ||||||||
\(672\) | −0.700530 | + | 4.52871i | −0.0270235 | + | 0.174699i | ||||
\(673\) | 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 | ||||
\(675\) | −20.1795 | + | 6.96610i | −0.776709 | + | 0.268125i | ||||
\(676\) | −0.500000 | − | 0.866025i | −0.0192308 | − | 0.0333087i | ||||
\(677\) | 4.59005 | − | 7.95020i | 0.176410 | − | 0.305551i | −0.764238 | − | 0.644934i | \(-0.776885\pi\) |
0.940648 | + | 0.339383i | \(0.110218\pi\) | |||||||
\(678\) | −21.8420 | + | 10.8179i | −0.838837 | + | 0.415460i | ||||
\(679\) | −25.2744 | − | 2.27414i | −0.969944 | − | 0.0872737i | ||||
\(680\) | − | 3.61313i | − | 0.138557i | ||||||
\(681\) | −0.464914 | + | 7.28478i | −0.0178155 | + | 0.279153i | ||||
\(682\) | −26.7525 | + | 15.4456i | −1.02441 | + | 0.591442i | ||||
\(683\) | −43.4043 | + | 25.0595i | −1.66082 | + | 0.958874i | −0.688494 | + | 0.725242i | \(0.741728\pi\) |
−0.972325 | + | 0.233632i | \(0.924939\pi\) | |||||||
\(684\) | −17.5482 | + | 7.33939i | −0.670973 | + | 0.280628i | ||||
\(685\) | 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 | ||||
\(690\) | −16.2230 | − | 10.7996i | −0.617598 | − | 0.411134i | ||||
\(691\) | −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 | ||||||||
\(693\) | 29.4106 | − | 32.1581i | 1.11722 | − | 1.22159i | ||||
\(694\) | −10.2686 | −0.389792 | ||||||||
\(695\) | 17.3777 | + | 10.0330i | 0.659176 | + | 0.380575i | ||||
\(696\) | 3.06448 | + | 2.04002i | 0.116159 | + | 0.0773267i | ||||
\(697\) | −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 | \(0.0639283\pi\) | ||||
−0.979900 | + | 0.199489i | \(0.936072\pi\) | |||||||
\(702\) | 3.92426 | + | 3.40590i | 0.148112 | + | 0.128547i | ||||
\(703\) | −52.3661 | + | 30.2336i | −1.97503 | + | 1.14028i | ||||
\(704\) | −4.75486 | + | 2.74522i | −0.179206 | + | 0.103464i | ||||
\(705\) | −2.59542 | + | 40.6679i | −0.0977493 | + | 1.53164i | ||||
\(706\) | − | 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 | ||||
\(711\) | 3.86379 | + | 0.495191i | 0.144903 | + | 0.0185711i | ||||
\(712\) | 4.76616 | + | 2.75175i | 0.178620 | + | 0.103126i | ||||
\(713\) | −20.9765 | −0.785574 | ||||||||
\(714\) | 4.27602 | + | 3.43717i | 0.160026 | + | 0.128633i | ||||
\(715\) | −16.5702 | −0.619692 | ||||||||
\(716\) | −15.8867 | − | 9.17219i | −0.593714 | − | 0.342781i | ||||
\(717\) | −15.0063 | + | 22.5422i | −0.560420 | + | 0.841852i | ||||
\(718\) | −6.42566 | − | 11.1296i | −0.239804 | − | 0.415352i | ||||
\(719\) | 24.3326 | − | 42.1454i | 0.907454 | − | 1.57176i | 0.0898651 | − | 0.995954i | \(-0.471356\pi\) |
0.817589 | − | 0.575802i | \(-0.195310\pi\) | |||||||
\(720\) | −5.48707 | + | 7.20194i | −0.204491 | + | 0.268400i | ||||
\(721\) | 29.6514 | − | 42.1247i | 1.10428 | − | 1.56881i | ||||
\(722\) | − | 21.2007i | − | 0.789010i | ||||||
\(723\) | −25.2154 | − | 1.60925i | −0.937772 | − | 0.0598485i | ||||
\(724\) | 15.5515 | − | 8.97866i | 0.577967 | − | 0.333689i | ||||
\(725\) | −7.56239 | + | 4.36615i | −0.280860 | + | 0.162155i | ||||
\(726\) | 33.0927 | + | 2.11197i | 1.22818 | + | 0.0783826i | ||||
\(727\) | − | 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 | ||||
\(732\) | 9.15623 | − | 13.7543i | 0.338424 | − | 0.508374i | ||||
\(733\) | 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 | ||||||||
\(735\) | 35.1625 | − | 10.1261i | 1.29699 | − | 0.373506i | ||||
\(736\) | −3.72825 | −0.137425 | ||||||||
\(737\) | 47.2993 | + | 27.3083i | 1.74229 | + | 1.00591i | ||||
\(738\) | −1.62630 | + | 12.6894i | −0.0598650 | + | 0.467105i | ||||
\(739\) | −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 | \(0.0408185\pi\) | ||||
−0.991789 | + | 0.127884i | \(0.959182\pi\) | |||||||
\(744\) | −0.620671 | + | 9.72535i | −0.0227549 | + | 0.356549i | ||||
\(745\) | −47.3132 | + | 27.3163i | −1.73342 | + | 1.00079i | ||||
\(746\) | −11.1674 | + | 6.44752i | −0.408869 | + | 0.236061i | ||||
\(747\) | −13.3102 | − | 31.8241i | −0.486993 | − | 1.16438i | ||||
\(748\) | 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 | ||||
\(753\) | 37.1541 | + | 24.7334i | 1.35397 | + | 0.901336i | ||||
\(754\) | 1.84070 | + | 1.06273i | 0.0670343 | + | 0.0387023i | ||||
\(755\) | 18.5309 | 0.674409 | ||||||||
\(756\) | −3.30341 | − | 13.3449i | −0.120144 | − | 0.485351i | ||||
\(757\) | 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 | ||||
\(759\) | 29.5132 | + | 19.6469i | 1.07126 | + | 0.713137i | ||||
\(760\) | −9.56773 | − | 16.5718i | −0.347058 | − | 0.601122i | ||||
\(761\) | 17.9005 | − | 31.0045i | 0.648892 | − | 1.12391i | −0.334496 | − | 0.942397i | \(-0.608566\pi\) |
0.983388 | − | 0.181516i | \(-0.0581005\pi\) | |||||||
\(762\) | −4.58803 | − | 9.26349i | −0.166207 | − | 0.335581i | ||||
\(763\) | 7.48701 | − | 3.46876i | 0.271048 | − | 0.125578i | ||||
\(764\) | 0.543864i | 0.0196763i | ||||||||
\(765\) | 4.18241 | + | 10.0000i | 0.151215 | + | 0.361551i | ||||
\(766\) | 9.53136 | − | 5.50293i | 0.344382 | − | 0.198829i | ||||
\(767\) | −3.57153 | + | 2.06202i | −0.128960 | + | 0.0744553i | ||||
\(768\) | −0.110315 | + | 1.72853i | −0.00398065 | + | 0.0623731i | ||||
\(769\) | − | 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 | 0.752103 | − | 0.659046i | \(-0.229040\pi\) |
−0.946802 | + | 0.321817i | \(0.895706\pi\) | |||||||
\(774\) | −3.92200 | + | 30.6019i | −0.140973 | + | 1.09996i | ||||
\(775\) | −20.0186 | − | 11.5577i | −0.719090 | − | 0.415167i | ||||
\(776\) | −9.59143 | −0.344312 | ||||||||
\(777\) | −15.8090 | − | 40.7436i | −0.567144 | − | 1.46167i | ||||
\(778\) | −18.7292 | −0.671475 | ||||||||
\(779\) | −23.4157 | − | 13.5190i | −0.838953 | − | 0.484370i | ||||
\(780\) | −2.89670 | + | 4.35137i | −0.103719 | + | 0.155804i | ||||
\(781\) | −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 | ||||||
\(786\) | 25.4973 | + | 1.62724i | 0.909459 | + | 0.0580416i | ||||
\(787\) | 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 | ||||
\(789\) | −40.6258 | − | 2.59274i | −1.44632 | − | 0.0923039i | ||||
\(790\) | 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 | ||||
\(795\) | 21.8612 | − | 32.8394i | 0.775336 | − | 1.16469i | ||||
\(796\) | −17.9941 | − | 10.3889i | −0.637783 | − | 0.368224i | ||||
\(797\) | −29.6965 | −1.05190 | −0.525952 | − | 0.850514i | \(-0.676291\pi\) | ||||
−0.525952 | + | 0.850514i | \(0.676291\pi\) | |||||||
\(798\) | 28.7139 | + | 4.44164i | 1.01646 | + | 0.157232i | ||||
\(799\) | 9.33286 | 0.330173 | ||||||||
\(800\) | −3.55800 | − | 2.05422i | −0.125794 | − | 0.0726275i | ||||
\(801\) | −16.3765 | − | 2.09885i | −0.578636 | − | 0.0741591i | ||||
\(802\) | 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 | ||||||||
\(807\) | −0.591728 | + | 9.27185i | −0.0208298 | + | 0.326384i | ||||
\(808\) | 13.1313 | − | 7.58135i | 0.461957 | − | 0.266711i | ||||
\(809\) | 20.1548 | − | 11.6364i | 0.708606 | − | 0.409114i | −0.101939 | − | 0.994791i | \(-0.532505\pi\) |
0.810545 | + | 0.585677i | \(0.199171\pi\) | |||||||
\(810\) | 6.84979 | − | 26.2843i | 0.240677 | − | 0.923535i | ||||
\(811\) | 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 | ||||
\(816\) | 1.72610 | + | 1.14906i | 0.0604257 | + | 0.0402253i | ||||
\(817\) | −56.4693 | − | 32.6026i | −1.97561 | − | 1.14062i | ||||
\(818\) | −3.59889 | −0.125832 | ||||||||
\(819\) | −2.39407 | − | 7.56759i | −0.0836554 | − | 0.264433i | ||||
\(820\) | −12.8701 | −0.449442 | ||||||||
\(821\) | 26.7609 | + | 15.4504i | 0.933961 | + | 0.539223i | 0.888062 | − | 0.459724i | \(-0.152052\pi\) |
0.0458987 | + | 0.998946i | \(0.485385\pi\) | |||||||
\(822\) | −5.96588 | − | 3.97148i | −0.208084 | − | 0.138521i | ||||
\(823\) | 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 | \(0.0264298\pi\) | ||||
−0.996555 | + | 0.0829362i | \(0.973570\pi\) | |||||||
\(828\) | 10.3186 | − | 4.31566i | 0.358596 | − | 0.149980i | ||||
\(829\) | −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 | ||||
\(831\) | −2.75699 | + | 43.1996i | −0.0956390 | + | 1.49858i | ||||
\(832\) | 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 | ||||
\(837\) | −9.53984 | − | 27.6351i | −0.329745 | − | 0.955210i | ||||
\(838\) | 9.82609 | + | 5.67310i | 0.339437 | + | 0.195974i | ||||
\(839\) | −35.9486 | −1.24108 | −0.620542 | − | 0.784173i | \(-0.713087\pi\) | ||||
−0.620542 | + | 0.784173i | \(0.713087\pi\) | |||||||
\(840\) | 12.8937 | − | 5.00291i | 0.444875 | − | 0.172617i | ||||
\(841\) | 24.4824 | 0.844222 | ||||||||
\(842\) | −3.37450 | − | 1.94827i | −0.116293 | − | 0.0671418i | ||||
\(843\) | 16.5924 | − | 24.9248i | 0.571472 | − | 0.858455i | ||||
\(844\) | −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 | ||||||
\(849\) | 15.4087 | + | 0.983381i | 0.528825 | + | 0.0337495i | ||||
\(850\) | −4.25960 | + | 2.45928i | −0.146103 | + | 0.0843527i | ||||
\(851\) | 30.7920 | − | 17.7778i | 1.05554 | − | 0.609415i | ||||
\(852\) | −3.90166 | − | 0.249004i | −0.133669 | − | 0.00853073i | ||||
\(853\) | 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 | \(0.181271\pi\) |
0.0458647 | + | 0.998948i | \(0.485396\pi\) | |||||||
\(858\) | 5.26974 | − | 7.91610i | 0.179906 | − | 0.270251i | ||||
\(859\) | −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 | ||||||||
\(861\) | 12.2433 | − | 15.2313i | 0.417249 | − | 0.519080i | ||||
\(862\) | −28.0774 | −0.956319 | ||||||||
\(863\) | −26.2981 | − | 15.1832i | −0.895196 | − | 0.516842i | −0.0195575 | − | 0.999809i | \(-0.506226\pi\) |
−0.875639 | + | 0.482967i | \(0.839559\pi\) | |||||||
\(864\) | −1.69556 | − | 4.91173i | −0.0576842 | − | 0.167100i | ||||
\(865\) | 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 | ||||||
\(870\) | 0.707633 | − | 11.0880i | 0.0239910 | − | 0.375917i | ||||
\(871\) | 8.61485 | − | 4.97378i | 0.291903 | − | 0.168530i | ||||
\(872\) | 2.70095 | − | 1.55939i | 0.0914656 | − | 0.0528077i | ||||
\(873\) | 26.5460 | − | 11.1026i | 0.898447 | − | 0.375767i | ||||
\(874\) | 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 | ||||
\(879\) | −8.75972 | − | 5.83133i | −0.295458 | − | 0.196686i | ||||
\(880\) | 14.3503 | + | 8.28512i | 0.483747 | + | 0.279291i | ||||
\(881\) | 5.01841 | 0.169074 | 0.0845372 | − | 0.996420i | \(-0.473059\pi\) | ||||
0.0845372 | + | 0.996420i | \(0.473059\pi\) | |||||||
\(882\) | −6.34500 | + | 20.0185i | −0.213647 | + | 0.674058i | ||||
\(883\) | −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 | ||||
\(885\) | 17.9452 | + | 11.9461i | 0.603222 | + | 0.401564i | ||||
\(886\) | −8.29928 | − | 14.3748i | −0.278820 | − | 0.482930i | ||||
\(887\) | 13.2901 | − | 23.0191i | 0.446237 | − | 0.772904i | −0.551901 | − | 0.833910i | \(-0.686097\pi\) |
0.998137 | + | 0.0610053i | \(0.0194307\pi\) | |||||||
\(888\) | −7.33124 | − | 14.8022i | −0.246020 | − | 0.496729i | ||||
\(889\) | −1.41510 | + | 15.7271i | −0.0474609 | + | 0.527471i | ||||
\(890\) | − | 16.6096i | − | 0.556756i | ||||||
\(891\) | −12.4613 | + | 47.8169i | −0.417469 | + | 1.60193i | ||||
\(892\) | 7.10609 | − | 4.10270i | 0.237930 | − | 0.137369i | ||||
\(893\) | 42.8055 | − | 24.7138i | 1.43243 | − | 0.827016i | ||||
\(894\) | 1.99694 | − | 31.2902i | 0.0667875 | − | 1.04650i | ||||
\(895\) | 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 | ||||
\(900\) | 12.2253 | + | 1.56682i | 0.407510 | + | 0.0522272i | ||||
\(901\) | −7.82461 | − | 4.51754i | −0.260675 | − | 0.150501i | ||||
\(902\) | 23.4135 | 0.779583 | ||||||||
\(903\) | 29.5259 | − | 36.7318i | 0.982561 | − | 1.22236i | ||||
\(904\) | 14.0724 | 0.468043 | ||||||||
\(905\) | −46.9347 | − | 27.0977i | −1.56016 | − | 0.900760i | ||||
\(906\) | −5.89328 | + | 8.85277i | −0.195791 | + | 0.294114i | ||||
\(907\) | −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 | \(-0.867425\pi\) | ||
0.914512 | − | 0.404558i | \(-0.132575\pi\) | |||||||
\(912\) | 10.9596 | + | 0.699441i | 0.362909 | + | 0.0231608i | ||||
\(913\) | −54.6737 | + | 31.5659i | −1.80943 | + | 1.04468i | ||||
\(914\) | −10.5560 | + | 6.09451i | −0.349162 | + | 0.201589i | ||||
\(915\) | −49.7662 | − | 3.17608i | −1.64522 | − | 0.104998i | ||||
\(916\) | 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 | ||||
\(921\) | −12.3847 | + | 18.6040i | −0.408088 | + | 0.613023i | ||||
\(922\) | −22.1912 | − | 12.8121i | −0.730829 | − | 0.421945i | ||||
\(923\) | −2.25721 | −0.0742969 | ||||||||
\(924\) | −23.4565 | + | 9.10140i | −0.771663 | + | 0.299414i | ||||
\(925\) | 39.1813 | 1.28827 | ||||||||
\(926\) | −25.1046 | − | 14.4942i | −0.824990 | − | 0.476308i | ||||
\(927\) | −7.42539 | + | 57.9376i | −0.243882 | + | 1.90292i | ||||
\(928\) | −1.06273 | − | 1.84070i | −0.0348858 | − | 0.0604239i | ||||
\(929\) | 16.8048 | − | 29.1068i | 0.551348 | − | 0.954963i | −0.446829 | − | 0.894619i | \(-0.647447\pi\) |
0.998178 | − | 0.0603439i | \(-0.0192197\pi\) | |||||||
\(930\) | 26.3556 | − | 13.0534i | 0.864233 | − | 0.428038i | ||||
\(931\) | −33.8579 | − | 28.6963i | −1.10965 | − | 0.940485i | ||||
\(932\) | 17.1531i | 0.561869i | ||||||||
\(933\) | −0.196967 | + | 3.08630i | −0.00644843 | + | 0.101041i | ||||
\(934\) | 6.44665 | − | 3.72197i | 0.210941 | − | 0.121787i | ||||
\(935\) | 17.1799 | − | 9.91885i | 0.561844 | − | 0.324381i | ||||
\(936\) | −1.15756 | − | 2.76768i | −0.0378360 | − | 0.0904645i | ||||
\(937\) | 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 | 0.935616 | − | 0.353019i | \(-0.114845\pi\) |
−0.773531 | + | 0.633758i | \(0.781511\pi\) | |||||||
\(942\) | 14.2574 | + | 9.49115i | 0.464532 | + | 0.309238i | ||||
\(943\) | 13.7687 | + | 7.94938i | 0.448372 | + | 0.258868i | ||||
\(944\) | 4.12404 | 0.134226 | ||||||||
\(945\) | −29.8945 | + | 28.7717i | −0.972470 | + | 0.935943i | ||||
\(946\) | 56.4640 | 1.83580 | ||||||||
\(947\) | 39.3441 | + | 22.7153i | 1.27851 | + | 0.738149i | 0.976575 | − | 0.215179i | \(-0.0690334\pi\) |
0.301937 | + | 0.953328i | \(0.402367\pi\) | |||||||
\(948\) | −1.87212 | − | 1.24627i | −0.0608037 | − | 0.0404770i | ||||
\(949\) | 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 | \(0.0154124\pi\) | ||||
−0.998828 | + | 0.0484007i | \(0.984588\pi\) | |||||||
\(954\) | 8.73599 | + | 20.8875i | 0.282838 | + | 0.676257i | ||||
\(955\) | 1.42149 | − | 0.820695i | 0.0459982 | − | 0.0265571i | ||||
\(956\) | 13.5401 | − | 7.81738i | 0.437918 | − | 0.252832i | ||||
\(957\) | −1.28734 | + | 20.1715i | −0.0416138 | + | 0.652051i | ||||
\(958\) | 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 | ||||
\(963\) | −4.06197 | + | 31.6941i | −0.130895 | + | 1.02133i | ||||
\(964\) | 12.6334 | + | 7.29387i | 0.406893 | + | 0.234920i | ||||
\(965\) | 41.3800 | 1.33207 | ||||||||
\(966\) | −16.8842 | − | 2.61175i | −0.543239 | − | 0.0840316i | ||||
\(967\) | −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 | ||||
\(969\) | 7.28553 | − | 10.9442i | 0.234045 | − | 0.351578i | ||||
\(970\) | 14.4736 | + | 25.0689i | 0.464718 | + | 0.804915i | ||||
\(971\) | −18.6175 | + | 32.2464i | −0.597464 | + | 1.03484i | 0.395731 | + | 0.918367i | \(0.370491\pi\) |
−0.993194 | + | 0.116471i | \(0.962842\pi\) | |||||||
\(972\) | 10.3784 | + | 11.6314i | 0.332887 | + | 0.373077i | ||||
\(973\) | 17.5202 | + | 1.57643i | 0.561672 | + | 0.0505382i | ||||
\(974\) | − | 30.0048i | − | 0.961415i | ||||||
\(975\) | 7.10156 | + | 0.453221i | 0.227432 | + | 0.0145147i | ||||
\(976\) | −8.26163 | + | 4.76985i | −0.264448 | + | 0.152679i | ||||
\(977\) | −21.8979 | + | 12.6427i | −0.700575 | + | 0.404477i | −0.807562 | − | 0.589783i | \(-0.799213\pi\) |
0.106986 | + | 0.994260i | \(0.465880\pi\) | |||||||
\(978\) | 21.8154 | + | 1.39226i | 0.697581 | + | 0.0445195i | ||||
\(979\) | 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 | \(0.0344764\pi\) |
−0.403454 | + | 0.915000i | \(0.632190\pi\) | |||||||
\(984\) | 4.09299 | − | 6.14841i | 0.130480 | − | 0.196004i | ||||
\(985\) | −9.27362 | − | 5.35412i | −0.295482 | − | 0.170597i | ||||
\(986\) | −2.54457 | −0.0810357 | ||||||||
\(987\) | 12.9227 | + | 33.3049i | 0.411334 | + | 1.06011i | ||||
\(988\) | 6.34040 | 0.201715 | ||||||||
\(989\) | 33.2047 | + | 19.1708i | 1.05585 | + | 0.609595i | ||||
\(990\) | −49.3074 | − | 6.31933i | −1.56709 | − | 0.200842i | ||||
\(991\) | 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 | ||||||||
\(996\) | −1.26845 | + | 19.8755i | −0.0401925 | + | 0.629780i | ||||
\(997\) | 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 | ||||
\(999\) | 37.4249 | + | 32.4814i | 1.18407 | + | 1.02767i |
(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.b.131.2 | yes | 32 | |
3.2 | odd | 2 | 546.2.z.a.131.12 | ✓ | 32 | ||
7.3 | odd | 6 | 546.2.z.a.521.12 | yes | 32 | ||
21.17 | even | 6 | inner | 546.2.z.b.521.2 | yes | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.z.a.131.12 | ✓ | 32 | 3.2 | odd | 2 | ||
546.2.z.a.521.12 | yes | 32 | 7.3 | odd | 6 | ||
546.2.z.b.131.2 | yes | 32 | 1.1 | even | 1 | trivial | |
546.2.z.b.521.2 | yes | 32 | 21.17 | even | 6 | inner |