Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1470,2,Mod(1469,1470)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1470, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1470.1469");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1470 = 2 \cdot 3 \cdot 5 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1470.d (of order \(2\), degree \(1\), 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: | \(11.7380090971\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 1469.5 | ||
Character | \(\chi\) | \(=\) | 1470.1469 |
Dual form | 1470.2.d.g.1469.6 |
$q$-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 \(\left(\mathbb{Z}/1470\mathbb{Z}\right)^\times\).
\(n\) | \(491\) | \(1081\) | \(1177\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.00000 | −0.707107 | ||||||||
\(3\) | −1.29908 | − | 1.14560i | −0.750022 | − | 0.661413i | ||||
\(4\) | 1.00000 | 0.500000 | ||||||||
\(5\) | −1.07275 | − | 1.96194i | −0.479746 | − | 0.877407i | ||||
\(6\) | 1.29908 | + | 1.14560i | 0.530346 | + | 0.467689i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | −1.00000 | −0.353553 | ||||||||
\(9\) | 0.375199 | + | 2.97645i | 0.125066 | + | 0.992148i | ||||
\(10\) | 1.07275 | + | 1.96194i | 0.339232 | + | 0.620421i | ||||
\(11\) | 0.115731i | 0.0348942i | 0.999848 | + | 0.0174471i | \(0.00555387\pi\) | ||||
−0.999848 | + | 0.0174471i | \(0.994446\pi\) | |||||||
\(12\) | −1.29908 | − | 1.14560i | −0.375011 | − | 0.330706i | ||||
\(13\) | 5.60599 | 1.55482 | 0.777411 | − | 0.628993i | \(-0.216533\pi\) | ||||
0.777411 | + | 0.628993i | \(0.216533\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −0.854024 | + | 3.77765i | −0.220508 | + | 0.975385i | ||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | − | 1.39249i | − | 0.337728i | −0.985639 | − | 0.168864i | \(-0.945990\pi\) | ||
0.985639 | − | 0.168864i | \(-0.0540099\pi\) | |||||||
\(18\) | −0.375199 | − | 2.97645i | −0.0884353 | − | 0.701555i | ||||
\(19\) | 1.52338i | 0.349487i | 0.984614 | + | 0.174743i | \(0.0559095\pi\) | ||||
−0.984614 | + | 0.174743i | \(0.944090\pi\) | |||||||
\(20\) | −1.07275 | − | 1.96194i | −0.239873 | − | 0.438704i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | − | 0.115731i | − | 0.0246740i | ||||||
\(23\) | −6.58658 | −1.37340 | −0.686698 | − | 0.726943i | \(-0.740941\pi\) | ||||
−0.686698 | + | 0.726943i | \(0.740941\pi\) | |||||||
\(24\) | 1.29908 | + | 1.14560i | 0.265173 | + | 0.233845i | ||||
\(25\) | −2.69843 | + | 4.20933i | −0.539687 | + | 0.841866i | ||||
\(26\) | −5.60599 | −1.09943 | ||||||||
\(27\) | 2.92240 | − | 4.29646i | 0.562417 | − | 0.826854i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 8.97567i | 1.66674i | 0.552716 | + | 0.833370i | \(0.313592\pi\) | ||||
−0.552716 | + | 0.833370i | \(0.686408\pi\) | |||||||
\(30\) | 0.854024 | − | 3.77765i | 0.155923 | − | 0.689701i | ||||
\(31\) | 7.15923i | 1.28584i | 0.765935 | + | 0.642918i | \(0.222276\pi\) | ||||
−0.765935 | + | 0.642918i | \(0.777724\pi\) | |||||||
\(32\) | −1.00000 | −0.176777 | ||||||||
\(33\) | 0.132582 | − | 0.150344i | 0.0230795 | − | 0.0261715i | ||||
\(34\) | 1.39249i | 0.238810i | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0.375199 | + | 2.97645i | 0.0625332 | + | 0.496074i | ||||
\(37\) | − | 1.70914i | − | 0.280981i | −0.990082 | − | 0.140490i | \(-0.955132\pi\) | ||
0.990082 | − | 0.140490i | \(-0.0448679\pi\) | |||||||
\(38\) | − | 1.52338i | − | 0.247124i | ||||||
\(39\) | −7.28261 | − | 6.42223i | −1.16615 | − | 1.02838i | ||||
\(40\) | 1.07275 | + | 1.96194i | 0.169616 | + | 0.310210i | ||||
\(41\) | 3.82458 | 0.597300 | 0.298650 | − | 0.954363i | \(-0.403464\pi\) | ||||
0.298650 | + | 0.954363i | \(0.403464\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 12.1163i | 1.84772i | 0.382725 | + | 0.923862i | \(0.374986\pi\) | ||||
−0.382725 | + | 0.923862i | \(0.625014\pi\) | |||||||
\(44\) | 0.115731i | 0.0174471i | ||||||||
\(45\) | 5.43712 | − | 3.92909i | 0.810518 | − | 0.585714i | ||||
\(46\) | 6.58658 | 0.971138 | ||||||||
\(47\) | 2.37293i | 0.346128i | 0.984911 | + | 0.173064i | \(0.0553667\pi\) | ||||
−0.984911 | + | 0.173064i | \(0.944633\pi\) | |||||||
\(48\) | −1.29908 | − | 1.14560i | −0.187506 | − | 0.165353i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 2.69843 | − | 4.20933i | 0.381616 | − | 0.595289i | ||||
\(51\) | −1.59524 | + | 1.80895i | −0.223378 | + | 0.253304i | ||||
\(52\) | 5.60599 | 0.777411 | ||||||||
\(53\) | 10.2924 | 1.41377 | 0.706884 | − | 0.707329i | \(-0.250100\pi\) | ||||
0.706884 | + | 0.707329i | \(0.250100\pi\) | |||||||
\(54\) | −2.92240 | + | 4.29646i | −0.397689 | + | 0.584674i | ||||
\(55\) | 0.227058 | − | 0.124150i | 0.0306165 | − | 0.0167404i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 1.74518 | − | 1.97898i | 0.231155 | − | 0.262123i | ||||
\(58\) | − | 8.97567i | − | 1.17856i | ||||||
\(59\) | 3.32689 | 0.433124 | 0.216562 | − | 0.976269i | \(-0.430516\pi\) | ||||
0.216562 | + | 0.976269i | \(0.430516\pi\) | |||||||
\(60\) | −0.854024 | + | 3.77765i | −0.110254 | + | 0.487693i | ||||
\(61\) | − | 5.12186i | − | 0.655787i | −0.944715 | − | 0.327893i | \(-0.893661\pi\) | ||
0.944715 | − | 0.327893i | \(-0.106339\pi\) | |||||||
\(62\) | − | 7.15923i | − | 0.909223i | ||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | −6.01380 | − | 10.9986i | −0.745920 | − | 1.36421i | ||||
\(66\) | −0.132582 | + | 0.150344i | −0.0163197 | + | 0.0185060i | ||||
\(67\) | 0.689946i | 0.0842903i | 0.999111 | + | 0.0421452i | \(0.0134192\pi\) | ||||
−0.999111 | + | 0.0421452i | \(0.986581\pi\) | |||||||
\(68\) | − | 1.39249i | − | 0.168864i | ||||||
\(69\) | 8.55647 | + | 7.54559i | 1.03008 | + | 0.908382i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | − | 6.77657i | − | 0.804231i | −0.915589 | − | 0.402115i | \(-0.868275\pi\) | ||
0.915589 | − | 0.402115i | \(-0.131725\pi\) | |||||||
\(72\) | −0.375199 | − | 2.97645i | −0.0442176 | − | 0.350777i | ||||
\(73\) | −11.1144 | −1.30085 | −0.650423 | − | 0.759572i | \(-0.725408\pi\) | ||||
−0.650423 | + | 0.759572i | \(0.725408\pi\) | |||||||
\(74\) | 1.70914i | 0.198684i | ||||||||
\(75\) | 8.32768 | − | 2.37691i | 0.961598 | − | 0.274462i | ||||
\(76\) | 1.52338i | 0.174743i | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 7.28261 | + | 6.42223i | 0.824593 | + | 0.727174i | ||||
\(79\) | 14.3964 | 1.61972 | 0.809858 | − | 0.586625i | \(-0.199544\pi\) | ||||
0.809858 | + | 0.586625i | \(0.199544\pi\) | |||||||
\(80\) | −1.07275 | − | 1.96194i | −0.119937 | − | 0.219352i | ||||
\(81\) | −8.71845 | + | 2.23352i | −0.968717 | + | 0.248169i | ||||
\(82\) | −3.82458 | −0.422355 | ||||||||
\(83\) | − | 6.24996i | − | 0.686022i | −0.939331 | − | 0.343011i | \(-0.888553\pi\) | ||
0.939331 | − | 0.343011i | \(-0.111447\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −2.73198 | + | 1.49379i | −0.296325 | + | 0.162024i | ||||
\(86\) | − | 12.1163i | − | 1.30654i | ||||||
\(87\) | 10.2825 | − | 11.6601i | 1.10240 | − | 1.25009i | ||||
\(88\) | − | 0.115731i | − | 0.0123370i | ||||||
\(89\) | 6.83525 | 0.724535 | 0.362267 | − | 0.932074i | \(-0.382003\pi\) | ||||
0.362267 | + | 0.932074i | \(0.382003\pi\) | |||||||
\(90\) | −5.43712 | + | 3.92909i | −0.573123 | + | 0.414162i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −6.58658 | −0.686698 | ||||||||
\(93\) | 8.20162 | − | 9.30039i | 0.850468 | − | 0.964405i | ||||
\(94\) | − | 2.37293i | − | 0.244749i | ||||||
\(95\) | 2.98878 | − | 1.63420i | 0.306642 | − | 0.167665i | ||||
\(96\) | 1.29908 | + | 1.14560i | 0.132586 | + | 0.116922i | ||||
\(97\) | 16.3461 | 1.65969 | 0.829845 | − | 0.557994i | \(-0.188429\pi\) | ||||
0.829845 | + | 0.557994i | \(0.188429\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −0.344467 | + | 0.0434222i | −0.0346203 | + | 0.00436410i | ||||
\(100\) | −2.69843 | + | 4.20933i | −0.269843 | + | 0.420933i | ||||
\(101\) | −9.06786 | −0.902286 | −0.451143 | − | 0.892452i | \(-0.648984\pi\) | ||||
−0.451143 | + | 0.892452i | \(0.648984\pi\) | |||||||
\(102\) | 1.59524 | − | 1.80895i | 0.157952 | − | 0.179113i | ||||
\(103\) | −12.5117 | −1.23282 | −0.616409 | − | 0.787427i | \(-0.711413\pi\) | ||||
−0.616409 | + | 0.787427i | \(0.711413\pi\) | |||||||
\(104\) | −5.60599 | −0.549713 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −10.2924 | −0.999685 | ||||||||
\(107\) | −3.99362 | −0.386078 | −0.193039 | − | 0.981191i | \(-0.561834\pi\) | ||||
−0.193039 | + | 0.981191i | \(0.561834\pi\) | |||||||
\(108\) | 2.92240 | − | 4.29646i | 0.281209 | − | 0.413427i | ||||
\(109\) | 5.70919 | 0.546841 | 0.273421 | − | 0.961895i | \(-0.411845\pi\) | ||||
0.273421 | + | 0.961895i | \(0.411845\pi\) | |||||||
\(110\) | −0.227058 | + | 0.124150i | −0.0216491 | + | 0.0118372i | ||||
\(111\) | −1.95799 | + | 2.22030i | −0.185844 | + | 0.210742i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 7.34715 | 0.691162 | 0.345581 | − | 0.938389i | \(-0.387682\pi\) | ||||
0.345581 | + | 0.938389i | \(0.387682\pi\) | |||||||
\(114\) | −1.74518 | + | 1.97898i | −0.163451 | + | 0.185349i | ||||
\(115\) | 7.06572 | + | 12.9225i | 0.658882 | + | 1.20503i | ||||
\(116\) | 8.97567i | 0.833370i | ||||||||
\(117\) | 2.10336 | + | 16.6859i | 0.194456 | + | 1.54261i | ||||
\(118\) | −3.32689 | −0.306265 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 0.854024 | − | 3.77765i | 0.0779613 | − | 0.344851i | ||||
\(121\) | 10.9866 | 0.998782 | ||||||||
\(122\) | 5.12186i | 0.463711i | ||||||||
\(123\) | −4.96843 | − | 4.38145i | −0.447988 | − | 0.395062i | ||||
\(124\) | 7.15923i | 0.642918i | ||||||||
\(125\) | 11.1532 | + | 0.778634i | 0.997572 | + | 0.0696431i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | − | 11.4466i | − | 1.01572i | −0.861440 | − | 0.507859i | \(-0.830437\pi\) | ||
0.861440 | − | 0.507859i | \(-0.169563\pi\) | |||||||
\(128\) | −1.00000 | −0.0883883 | ||||||||
\(129\) | 13.8805 | − | 15.7400i | 1.22211 | − | 1.38583i | ||||
\(130\) | 6.01380 | + | 10.9986i | 0.527445 | + | 0.964644i | ||||
\(131\) | 16.7557 | 1.46396 | 0.731978 | − | 0.681328i | \(-0.238597\pi\) | ||||
0.731978 | + | 0.681328i | \(0.238597\pi\) | |||||||
\(132\) | 0.132582 | − | 0.150344i | 0.0115397 | − | 0.0130857i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | − | 0.689946i | − | 0.0596023i | ||||||
\(135\) | −11.5644 | − | 1.12458i | −0.995305 | − | 0.0967887i | ||||
\(136\) | 1.39249i | 0.119405i | ||||||||
\(137\) | −8.35228 | −0.713584 | −0.356792 | − | 0.934184i | \(-0.616129\pi\) | ||||
−0.356792 | + | 0.934184i | \(0.616129\pi\) | |||||||
\(138\) | −8.55647 | − | 7.54559i | −0.728375 | − | 0.642323i | ||||
\(139\) | − | 5.96744i | − | 0.506151i | −0.967446 | − | 0.253076i | \(-0.918558\pi\) | ||
0.967446 | − | 0.253076i | \(-0.0814422\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 2.71843 | − | 3.08262i | 0.228933 | − | 0.259603i | ||||
\(142\) | 6.77657i | 0.568677i | ||||||||
\(143\) | 0.648788i | 0.0542543i | ||||||||
\(144\) | 0.375199 | + | 2.97645i | 0.0312666 | + | 0.248037i | ||||
\(145\) | 17.6097 | − | 9.62861i | 1.46241 | − | 0.799612i | ||||
\(146\) | 11.1144 | 0.919837 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | − | 1.70914i | − | 0.140490i | ||||||
\(149\) | 15.9414i | 1.30597i | 0.757372 | + | 0.652984i | \(0.226483\pi\) | ||||
−0.757372 | + | 0.652984i | \(0.773517\pi\) | |||||||
\(150\) | −8.32768 | + | 2.37691i | −0.679952 | + | 0.194074i | ||||
\(151\) | 15.9786 | 1.30032 | 0.650162 | − | 0.759796i | \(-0.274701\pi\) | ||||
0.650162 | + | 0.759796i | \(0.274701\pi\) | |||||||
\(152\) | − | 1.52338i | − | 0.123562i | ||||||
\(153\) | 4.14467 | − | 0.522460i | 0.335076 | − | 0.0422384i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 14.0460 | − | 7.68003i | 1.12820 | − | 0.616875i | ||||
\(156\) | −7.28261 | − | 6.42223i | −0.583075 | − | 0.514190i | ||||
\(157\) | 5.20320 | 0.415260 | 0.207630 | − | 0.978207i | \(-0.433425\pi\) | ||||
0.207630 | + | 0.978207i | \(0.433425\pi\) | |||||||
\(158\) | −14.3964 | −1.14531 | ||||||||
\(159\) | −13.3706 | − | 11.7910i | −1.06036 | − | 0.935085i | ||||
\(160\) | 1.07275 | + | 1.96194i | 0.0848080 | + | 0.155105i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 8.71845 | − | 2.23352i | 0.684986 | − | 0.175482i | ||||
\(163\) | 15.4578i | 1.21075i | 0.795941 | + | 0.605374i | \(0.206976\pi\) | ||||
−0.795941 | + | 0.605374i | \(0.793024\pi\) | |||||||
\(164\) | 3.82458 | 0.298650 | ||||||||
\(165\) | −0.437192 | − | 0.0988371i | −0.0340353 | − | 0.00769446i | ||||
\(166\) | 6.24996i | 0.485091i | ||||||||
\(167\) | 6.80860i | 0.526865i | 0.964678 | + | 0.263433i | \(0.0848547\pi\) | ||||
−0.964678 | + | 0.263433i | \(0.915145\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 18.4271 | 1.41747 | ||||||||
\(170\) | 2.73198 | − | 1.49379i | 0.209533 | − | 0.114568i | ||||
\(171\) | −4.53425 | + | 0.571569i | −0.346742 | + | 0.0437090i | ||||
\(172\) | 12.1163i | 0.923862i | ||||||||
\(173\) | − | 1.30728i | − | 0.0993909i | −0.998764 | − | 0.0496954i | \(-0.984175\pi\) | ||
0.998764 | − | 0.0496954i | \(-0.0158251\pi\) | |||||||
\(174\) | −10.2825 | + | 11.6601i | −0.779517 | + | 0.883948i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 0.115731i | 0.00872356i | ||||||||
\(177\) | −4.32188 | − | 3.81129i | −0.324853 | − | 0.286474i | ||||
\(178\) | −6.83525 | −0.512323 | ||||||||
\(179\) | − | 1.03424i | − | 0.0773026i | −0.999253 | − | 0.0386513i | \(-0.987694\pi\) | ||
0.999253 | − | 0.0386513i | \(-0.0123062\pi\) | |||||||
\(180\) | 5.43712 | − | 3.92909i | 0.405259 | − | 0.292857i | ||||
\(181\) | − | 22.8296i | − | 1.69691i | −0.529265 | − | 0.848457i | \(-0.677532\pi\) | ||
0.529265 | − | 0.848457i | \(-0.322468\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −5.86761 | + | 6.65369i | −0.433746 | + | 0.491855i | ||||
\(184\) | 6.58658 | 0.485569 | ||||||||
\(185\) | −3.35323 | + | 1.83347i | −0.246535 | + | 0.134800i | ||||
\(186\) | −8.20162 | + | 9.30039i | −0.601372 | + | 0.681938i | ||||
\(187\) | 0.161154 | 0.0117848 | ||||||||
\(188\) | 2.37293i | 0.173064i | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −2.98878 | + | 1.63420i | −0.216829 | + | 0.118557i | ||||
\(191\) | 11.8242i | 0.855570i | 0.903881 | + | 0.427785i | \(0.140706\pi\) | ||||
−0.903881 | + | 0.427785i | \(0.859294\pi\) | |||||||
\(192\) | −1.29908 | − | 1.14560i | −0.0937528 | − | 0.0826766i | ||||
\(193\) | 4.35205i | 0.313267i | 0.987657 | + | 0.156634i | \(0.0500642\pi\) | ||||
−0.987657 | + | 0.156634i | \(0.949936\pi\) | |||||||
\(194\) | −16.3461 | −1.17358 | ||||||||
\(195\) | −4.78765 | + | 21.1775i | −0.342851 | + | 1.51655i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −17.2157 | −1.22657 | −0.613284 | − | 0.789862i | \(-0.710152\pi\) | ||||
−0.613284 | + | 0.789862i | \(0.710152\pi\) | |||||||
\(198\) | 0.344467 | − | 0.0434222i | 0.0244802 | − | 0.00308588i | ||||
\(199\) | 2.62215i | 0.185880i | 0.995672 | + | 0.0929398i | \(0.0296264\pi\) | ||||
−0.995672 | + | 0.0929398i | \(0.970374\pi\) | |||||||
\(200\) | 2.69843 | − | 4.20933i | 0.190808 | − | 0.297645i | ||||
\(201\) | 0.790403 | − | 0.896293i | 0.0557507 | − | 0.0632196i | ||||
\(202\) | 9.06786 | 0.638012 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −1.59524 | + | 1.80895i | −0.111689 | + | 0.126652i | ||||
\(205\) | −4.10281 | − | 7.50361i | −0.286552 | − | 0.524075i | ||||
\(206\) | 12.5117 | 0.871733 | ||||||||
\(207\) | −2.47128 | − | 19.6046i | −0.171766 | − | 1.36261i | ||||
\(208\) | 5.60599 | 0.388706 | ||||||||
\(209\) | −0.176302 | −0.0121951 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −24.9808 | −1.71975 | −0.859873 | − | 0.510507i | \(-0.829458\pi\) | ||||
−0.859873 | + | 0.510507i | \(0.829458\pi\) | |||||||
\(212\) | 10.2924 | 0.706884 | ||||||||
\(213\) | −7.76324 | + | 8.80328i | −0.531929 | + | 0.603191i | ||||
\(214\) | 3.99362 | 0.272998 | ||||||||
\(215\) | 23.7716 | − | 12.9977i | 1.62121 | − | 0.886439i | ||||
\(216\) | −2.92240 | + | 4.29646i | −0.198844 | + | 0.292337i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −5.70919 | −0.386675 | ||||||||
\(219\) | 14.4385 | + | 12.7327i | 0.975663 | + | 0.860396i | ||||
\(220\) | 0.227058 | − | 0.124150i | 0.0153082 | − | 0.00837019i | ||||
\(221\) | − | 7.80628i | − | 0.525107i | ||||||
\(222\) | 1.95799 | − | 2.22030i | 0.131412 | − | 0.149017i | ||||
\(223\) | −3.33467 | −0.223306 | −0.111653 | − | 0.993747i | \(-0.535614\pi\) | ||||
−0.111653 | + | 0.993747i | \(0.535614\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −13.5413 | − | 6.45241i | −0.902752 | − | 0.430160i | ||||
\(226\) | −7.34715 | −0.488725 | ||||||||
\(227\) | 19.5117i | 1.29504i | 0.762050 | + | 0.647519i | \(0.224193\pi\) | ||||
−0.762050 | + | 0.647519i | \(0.775807\pi\) | |||||||
\(228\) | 1.74518 | − | 1.97898i | 0.115577 | − | 0.131061i | ||||
\(229\) | 28.1753i | 1.86188i | 0.365175 | + | 0.930939i | \(0.381009\pi\) | ||||
−0.365175 | + | 0.930939i | \(0.618991\pi\) | |||||||
\(230\) | −7.06572 | − | 12.9225i | −0.465900 | − | 0.852083i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | − | 8.97567i | − | 0.589282i | ||||||
\(233\) | −1.61616 | −0.105878 | −0.0529390 | − | 0.998598i | \(-0.516859\pi\) | ||||
−0.0529390 | + | 0.998598i | \(0.516859\pi\) | |||||||
\(234\) | −2.10336 | − | 16.6859i | −0.137501 | − | 1.09079i | ||||
\(235\) | 4.65555 | − | 2.54555i | 0.303695 | − | 0.166053i | ||||
\(236\) | 3.32689 | 0.216562 | ||||||||
\(237\) | −18.7020 | − | 16.4925i | −1.21482 | − | 1.07130i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 17.8576i | 1.15511i | 0.816352 | + | 0.577555i | \(0.195993\pi\) | ||||
−0.816352 | + | 0.577555i | \(0.804007\pi\) | |||||||
\(240\) | −0.854024 | + | 3.77765i | −0.0551270 | + | 0.243846i | ||||
\(241\) | − | 13.8552i | − | 0.892491i | −0.894910 | − | 0.446246i | \(-0.852761\pi\) | ||
0.894910 | − | 0.446246i | \(-0.147239\pi\) | |||||||
\(242\) | −10.9866 | −0.706246 | ||||||||
\(243\) | 13.8847 | + | 7.08635i | 0.890701 | + | 0.454590i | ||||
\(244\) | − | 5.12186i | − | 0.327893i | ||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 4.96843 | + | 4.38145i | 0.316775 | + | 0.279351i | ||||
\(247\) | 8.54003i | 0.543389i | ||||||||
\(248\) | − | 7.15923i | − | 0.454612i | ||||||
\(249\) | −7.15995 | + | 8.11917i | −0.453744 | + | 0.514532i | ||||
\(250\) | −11.1532 | − | 0.778634i | −0.705390 | − | 0.0492451i | ||||
\(251\) | −23.0104 | −1.45241 | −0.726203 | − | 0.687480i | \(-0.758717\pi\) | ||||
−0.726203 | + | 0.687480i | \(0.758717\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | − | 0.762272i | − | 0.0479236i | ||||||
\(254\) | 11.4466i | 0.718221i | ||||||||
\(255\) | 5.26033 | + | 1.18922i | 0.329415 | + | 0.0744717i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | − | 10.3913i | − | 0.648192i | −0.946024 | − | 0.324096i | \(-0.894940\pi\) | ||
0.946024 | − | 0.324096i | \(-0.105060\pi\) | |||||||
\(258\) | −13.8805 | + | 15.7400i | −0.864161 | + | 0.979933i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −6.01380 | − | 10.9986i | −0.372960 | − | 0.682106i | ||||
\(261\) | −26.7156 | + | 3.36766i | −1.65365 | + | 0.208453i | ||||
\(262\) | −16.7557 | −1.03517 | ||||||||
\(263\) | 25.2467 | 1.55678 | 0.778389 | − | 0.627783i | \(-0.216037\pi\) | ||||
0.778389 | + | 0.627783i | \(0.216037\pi\) | |||||||
\(264\) | −0.132582 | + | 0.150344i | −0.00815983 | + | 0.00925301i | ||||
\(265\) | −11.0411 | − | 20.1931i | −0.678250 | − | 1.24045i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −8.87951 | − | 7.83046i | −0.543417 | − | 0.479216i | ||||
\(268\) | 0.689946i | 0.0421452i | ||||||||
\(269\) | 30.3714 | 1.85178 | 0.925888 | − | 0.377797i | \(-0.123318\pi\) | ||||
0.925888 | + | 0.377797i | \(0.123318\pi\) | |||||||
\(270\) | 11.5644 | + | 1.12458i | 0.703787 | + | 0.0684400i | ||||
\(271\) | − | 17.3027i | − | 1.05106i | −0.850775 | − | 0.525531i | \(-0.823867\pi\) | ||
0.850775 | − | 0.525531i | \(-0.176133\pi\) | |||||||
\(272\) | − | 1.39249i | − | 0.0844320i | ||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 8.35228 | 0.504580 | ||||||||
\(275\) | −0.487150 | − | 0.312293i | −0.0293763 | − | 0.0188320i | ||||
\(276\) | 8.55647 | + | 7.54559i | 0.515039 | + | 0.454191i | ||||
\(277\) | − | 12.4130i | − | 0.745825i | −0.927867 | − | 0.372912i | \(-0.878359\pi\) | ||
0.927867 | − | 0.372912i | \(-0.121641\pi\) | |||||||
\(278\) | 5.96744i | 0.357903i | ||||||||
\(279\) | −21.3091 | + | 2.68614i | −1.27574 | + | 0.160815i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 4.53857i | 0.270748i | 0.990795 | + | 0.135374i | \(0.0432236\pi\) | ||||
−0.990795 | + | 0.135374i | \(0.956776\pi\) | |||||||
\(282\) | −2.71843 | + | 3.08262i | −0.161880 | + | 0.183567i | ||||
\(283\) | −9.80557 | −0.582881 | −0.291440 | − | 0.956589i | \(-0.594135\pi\) | ||||
−0.291440 | + | 0.956589i | \(0.594135\pi\) | |||||||
\(284\) | − | 6.77657i | − | 0.402115i | ||||||
\(285\) | −5.75478 | − | 1.30100i | −0.340884 | − | 0.0770646i | ||||
\(286\) | − | 0.648788i | − | 0.0383636i | ||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | −0.375199 | − | 2.97645i | −0.0221088 | − | 0.175389i | ||||
\(289\) | 15.0610 | 0.885940 | ||||||||
\(290\) | −17.6097 | + | 9.62861i | −1.03408 | + | 0.565411i | ||||
\(291\) | −21.2348 | − | 18.7260i | −1.24480 | − | 1.09774i | ||||
\(292\) | −11.1144 | −0.650423 | ||||||||
\(293\) | 26.6749i | 1.55836i | 0.626799 | + | 0.779181i | \(0.284365\pi\) | ||||
−0.626799 | + | 0.779181i | \(0.715635\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −3.56891 | − | 6.52717i | −0.207790 | − | 0.380026i | ||||
\(296\) | 1.70914i | 0.0993418i | ||||||||
\(297\) | 0.497234 | + | 0.338213i | 0.0288524 | + | 0.0196251i | ||||
\(298\) | − | 15.9414i | − | 0.923459i | ||||||
\(299\) | −36.9243 | −2.13539 | ||||||||
\(300\) | 8.32768 | − | 2.37691i | 0.480799 | − | 0.137231i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | −15.9786 | −0.919468 | ||||||||
\(303\) | 11.7798 | + | 10.3881i | 0.676734 | + | 0.596783i | ||||
\(304\) | 1.52338i | 0.0873716i | ||||||||
\(305\) | −10.0488 | + | 5.49445i | −0.575392 | + | 0.314611i | ||||
\(306\) | −4.14467 | + | 0.522460i | −0.236935 | + | 0.0298671i | ||||
\(307\) | −23.3482 | −1.33255 | −0.666275 | − | 0.745706i | \(-0.732112\pi\) | ||||
−0.666275 | + | 0.745706i | \(0.732112\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 16.2537 | + | 14.3334i | 0.924640 | + | 0.815401i | ||||
\(310\) | −14.0460 | + | 7.68003i | −0.797759 | + | 0.436197i | ||||
\(311\) | −26.3635 | −1.49494 | −0.747468 | − | 0.664298i | \(-0.768730\pi\) | ||||
−0.747468 | + | 0.664298i | \(0.768730\pi\) | |||||||
\(312\) | 7.28261 | + | 6.42223i | 0.412297 | + | 0.363587i | ||||
\(313\) | 9.15989 | 0.517748 | 0.258874 | − | 0.965911i | \(-0.416649\pi\) | ||||
0.258874 | + | 0.965911i | \(0.416649\pi\) | |||||||
\(314\) | −5.20320 | −0.293633 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 14.3964 | 0.809858 | ||||||||
\(317\) | 28.5498 | 1.60351 | 0.801757 | − | 0.597650i | \(-0.203899\pi\) | ||||
0.801757 | + | 0.597650i | \(0.203899\pi\) | |||||||
\(318\) | 13.3706 | + | 11.7910i | 0.749786 | + | 0.661205i | ||||
\(319\) | −1.03876 | −0.0581596 | ||||||||
\(320\) | −1.07275 | − | 1.96194i | −0.0599683 | − | 0.109676i | ||||
\(321\) | 5.18802 | + | 4.57509i | 0.289567 | + | 0.255357i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 2.12128 | 0.118031 | ||||||||
\(324\) | −8.71845 | + | 2.23352i | −0.484358 | + | 0.124084i | ||||
\(325\) | −15.1274 | + | 23.5975i | −0.839117 | + | 1.30895i | ||||
\(326\) | − | 15.4578i | − | 0.856128i | ||||||
\(327\) | −7.41668 | − | 6.54045i | −0.410143 | − | 0.361688i | ||||
\(328\) | −3.82458 | −0.211177 | ||||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0.437192 | + | 0.0988371i | 0.0240666 | + | 0.00544080i | ||||
\(331\) | −4.29752 | −0.236213 | −0.118107 | − | 0.993001i | \(-0.537682\pi\) | ||||
−0.118107 | + | 0.993001i | \(0.537682\pi\) | |||||||
\(332\) | − | 6.24996i | − | 0.343011i | ||||||
\(333\) | 5.08716 | − | 0.641268i | 0.278775 | − | 0.0351413i | ||||
\(334\) | − | 6.80860i | − | 0.372550i | ||||||
\(335\) | 1.35363 | − | 0.740137i | 0.0739570 | − | 0.0404380i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | − | 10.9814i | − | 0.598196i | −0.954222 | − | 0.299098i | \(-0.903314\pi\) | ||
0.954222 | − | 0.299098i | \(-0.0966857\pi\) | |||||||
\(338\) | −18.4271 | −1.00230 | ||||||||
\(339\) | −9.54451 | − | 8.41690i | −0.518386 | − | 0.457143i | ||||
\(340\) | −2.73198 | + | 1.49379i | −0.148163 | + | 0.0810119i | ||||
\(341\) | −0.828546 | −0.0448683 | ||||||||
\(342\) | 4.53425 | − | 0.571569i | 0.245184 | − | 0.0309069i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | − | 12.1163i | − | 0.653269i | ||||||
\(345\) | 5.62509 | − | 24.8818i | 0.302845 | − | 1.33959i | ||||
\(346\) | 1.30728i | 0.0702800i | ||||||||
\(347\) | −1.76157 | −0.0945662 | −0.0472831 | − | 0.998882i | \(-0.515056\pi\) | ||||
−0.0472831 | + | 0.998882i | \(0.515056\pi\) | |||||||
\(348\) | 10.2825 | − | 11.6601i | 0.551201 | − | 0.625046i | ||||
\(349\) | − | 8.42636i | − | 0.451053i | −0.974237 | − | 0.225526i | \(-0.927590\pi\) | ||
0.974237 | − | 0.225526i | \(-0.0724102\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 16.3830 | − | 24.0859i | 0.874458 | − | 1.28561i | ||||
\(352\) | − | 0.115731i | − | 0.00616849i | ||||||
\(353\) | 19.0584i | 1.01438i | 0.861835 | + | 0.507188i | \(0.169315\pi\) | ||||
−0.861835 | + | 0.507188i | \(0.830685\pi\) | |||||||
\(354\) | 4.32188 | + | 3.81129i | 0.229706 | + | 0.202568i | ||||
\(355\) | −13.2952 | + | 7.26954i | −0.705638 | + | 0.385827i | ||||
\(356\) | 6.83525 | 0.362267 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 1.03424i | 0.0546612i | ||||||||
\(359\) | 21.9942i | 1.16081i | 0.814328 | + | 0.580405i | \(0.197106\pi\) | ||||
−0.814328 | + | 0.580405i | \(0.802894\pi\) | |||||||
\(360\) | −5.43712 | + | 3.92909i | −0.286561 | + | 0.207081i | ||||
\(361\) | 16.6793 | 0.877859 | ||||||||
\(362\) | 22.8296i | 1.19990i | ||||||||
\(363\) | −14.2724 | − | 12.5863i | −0.749109 | − | 0.660607i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 11.9230 | + | 21.8059i | 0.624076 | + | 1.14137i | ||||
\(366\) | 5.86761 | − | 6.65369i | 0.306705 | − | 0.347794i | ||||
\(367\) | −16.0333 | −0.836931 | −0.418465 | − | 0.908233i | \(-0.637432\pi\) | ||||
−0.418465 | + | 0.908233i | \(0.637432\pi\) | |||||||
\(368\) | −6.58658 | −0.343349 | ||||||||
\(369\) | 1.43498 | + | 11.3837i | 0.0747021 | + | 0.592610i | ||||
\(370\) | 3.35323 | − | 1.83347i | 0.174326 | − | 0.0953177i | ||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 8.20162 | − | 9.30039i | 0.425234 | − | 0.482203i | ||||
\(373\) | 15.5769i | 0.806541i | 0.915081 | + | 0.403270i | \(0.132127\pi\) | ||||
−0.915081 | + | 0.403270i | \(0.867873\pi\) | |||||||
\(374\) | −0.161154 | −0.00833309 | ||||||||
\(375\) | −13.5968 | − | 13.7886i | −0.702138 | − | 0.712041i | ||||
\(376\) | − | 2.37293i | − | 0.122375i | ||||||
\(377\) | 50.3175i | 2.59148i | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 7.30235 | 0.375097 | 0.187548 | − | 0.982255i | \(-0.439946\pi\) | ||||
0.187548 | + | 0.982255i | \(0.439946\pi\) | |||||||
\(380\) | 2.98878 | − | 1.63420i | 0.153321 | − | 0.0838324i | ||||
\(381\) | −13.1132 | + | 14.8700i | −0.671809 | + | 0.761811i | ||||
\(382\) | − | 11.8242i | − | 0.604979i | ||||||
\(383\) | 15.8538i | 0.810090i | 0.914297 | + | 0.405045i | \(0.132744\pi\) | ||||
−0.914297 | + | 0.405045i | \(0.867256\pi\) | |||||||
\(384\) | 1.29908 | + | 1.14560i | 0.0662932 | + | 0.0584612i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | − | 4.35205i | − | 0.221513i | ||||||
\(387\) | −36.0636 | + | 4.54604i | −1.83322 | + | 0.231088i | ||||
\(388\) | 16.3461 | 0.829845 | ||||||||
\(389\) | 2.89083i | 0.146571i | 0.997311 | + | 0.0732855i | \(0.0233484\pi\) | ||||
−0.997311 | + | 0.0732855i | \(0.976652\pi\) | |||||||
\(390\) | 4.78765 | − | 21.1775i | 0.242432 | − | 1.07236i | ||||
\(391\) | 9.17173i | 0.463834i | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −21.7670 | − | 19.1954i | −1.09800 | − | 0.968279i | ||||
\(394\) | 17.2157 | 0.867315 | ||||||||
\(395\) | −15.4436 | − | 28.2448i | −0.777053 | − | 1.42115i | ||||
\(396\) | −0.344467 | + | 0.0434222i | −0.0173101 | + | 0.00218205i | ||||
\(397\) | −10.5240 | −0.528183 | −0.264091 | − | 0.964498i | \(-0.585072\pi\) | ||||
−0.264091 | + | 0.964498i | \(0.585072\pi\) | |||||||
\(398\) | − | 2.62215i | − | 0.131437i | ||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −2.69843 | + | 4.20933i | −0.134922 | + | 0.210466i | ||||
\(401\) | − | 35.1257i | − | 1.75409i | −0.480404 | − | 0.877047i | \(-0.659510\pi\) | ||
0.480404 | − | 0.877047i | \(-0.340490\pi\) | |||||||
\(402\) | −0.790403 | + | 0.896293i | −0.0394217 | + | 0.0447030i | ||||
\(403\) | 40.1346i | 1.99925i | ||||||||
\(404\) | −9.06786 | −0.451143 | ||||||||
\(405\) | 13.7347 | + | 14.7091i | 0.682483 | + | 0.730901i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 0.197801 | 0.00980462 | ||||||||
\(408\) | 1.59524 | − | 1.80895i | 0.0789759 | − | 0.0895563i | ||||
\(409\) | − | 19.8638i | − | 0.982202i | −0.871103 | − | 0.491101i | \(-0.836595\pi\) | ||
0.871103 | − | 0.491101i | \(-0.163405\pi\) | |||||||
\(410\) | 4.10281 | + | 7.50361i | 0.202623 | + | 0.370577i | ||||
\(411\) | 10.8503 | + | 9.56838i | 0.535204 | + | 0.471973i | ||||
\(412\) | −12.5117 | −0.616409 | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 2.47128 | + | 19.6046i | 0.121457 | + | 0.963513i | ||||
\(415\) | −12.2621 | + | 6.70461i | −0.601921 | + | 0.329116i | ||||
\(416\) | −5.60599 | −0.274856 | ||||||||
\(417\) | −6.83630 | + | 7.75216i | −0.334775 | + | 0.379625i | ||||
\(418\) | 0.176302 | 0.00862322 | ||||||||
\(419\) | −14.0283 | −0.685327 | −0.342664 | − | 0.939458i | \(-0.611329\pi\) | ||||
−0.342664 | + | 0.939458i | \(0.611329\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 15.8988 | 0.774859 | 0.387429 | − | 0.921899i | \(-0.373363\pi\) | ||||
0.387429 | + | 0.921899i | \(0.373363\pi\) | |||||||
\(422\) | 24.9808 | 1.21604 | ||||||||
\(423\) | −7.06290 | + | 0.890321i | −0.343410 | + | 0.0432889i | ||||
\(424\) | −10.2924 | −0.499843 | ||||||||
\(425\) | 5.86144 | + | 3.75754i | 0.284322 | + | 0.182267i | ||||
\(426\) | 7.76324 | − | 8.80328i | 0.376130 | − | 0.426520i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | −3.99362 | −0.193039 | ||||||||
\(429\) | 0.743251 | − | 0.842825i | 0.0358845 | − | 0.0406920i | ||||
\(430\) | −23.7716 | + | 12.9977i | −1.14637 | + | 0.626807i | ||||
\(431\) | 9.78952i | 0.471545i | 0.971808 | + | 0.235772i | \(0.0757620\pi\) | ||||
−0.971808 | + | 0.235772i | \(0.924238\pi\) | |||||||
\(432\) | 2.92240 | − | 4.29646i | 0.140604 | − | 0.206713i | ||||
\(433\) | 18.4072 | 0.884595 | 0.442298 | − | 0.896868i | \(-0.354163\pi\) | ||||
0.442298 | + | 0.896868i | \(0.354163\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −33.9069 | − | 7.66543i | −1.62571 | − | 0.367529i | ||||
\(436\) | 5.70919 | 0.273421 | ||||||||
\(437\) | − | 10.0338i | − | 0.479984i | ||||||
\(438\) | −14.4385 | − | 12.7327i | −0.689898 | − | 0.608392i | ||||
\(439\) | 22.4392i | 1.07096i | 0.844547 | + | 0.535482i | \(0.179870\pi\) | ||||
−0.844547 | + | 0.535482i | \(0.820130\pi\) | |||||||
\(440\) | −0.227058 | + | 0.124150i | −0.0108246 | + | 0.00591862i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 7.80628i | 0.371307i | ||||||||
\(443\) | 31.3372 | 1.48888 | 0.744438 | − | 0.667692i | \(-0.232717\pi\) | ||||
0.744438 | + | 0.667692i | \(0.232717\pi\) | |||||||
\(444\) | −1.95799 | + | 2.22030i | −0.0929222 | + | 0.105371i | ||||
\(445\) | −7.33248 | − | 13.4104i | −0.347593 | − | 0.635712i | ||||
\(446\) | 3.33467 | 0.157901 | ||||||||
\(447\) | 18.2624 | − | 20.7091i | 0.863784 | − | 0.979505i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | − | 6.53984i | − | 0.308634i | −0.988021 | − | 0.154317i | \(-0.950682\pi\) | ||
0.988021 | − | 0.154317i | \(-0.0493177\pi\) | |||||||
\(450\) | 13.5413 | + | 6.45241i | 0.638342 | + | 0.304169i | ||||
\(451\) | 0.442623i | 0.0208423i | ||||||||
\(452\) | 7.34715 | 0.345581 | ||||||||
\(453\) | −20.7575 | − | 18.3051i | −0.975271 | − | 0.860051i | ||||
\(454\) | − | 19.5117i | − | 0.915729i | ||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −1.74518 | + | 1.97898i | −0.0817256 | + | 0.0926743i | ||||
\(457\) | 10.5360i | 0.492855i | 0.969161 | + | 0.246427i | \(0.0792567\pi\) | ||||
−0.969161 | + | 0.246427i | \(0.920743\pi\) | |||||||
\(458\) | − | 28.1753i | − | 1.31655i | ||||||
\(459\) | −5.98277 | − | 4.06941i | −0.279252 | − | 0.189944i | ||||
\(460\) | 7.06572 | + | 12.9225i | 0.329441 | + | 0.602514i | ||||
\(461\) | −10.3034 | −0.479877 | −0.239939 | − | 0.970788i | \(-0.577127\pi\) | ||||
−0.239939 | + | 0.970788i | \(0.577127\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | − | 41.3015i | − | 1.91944i | −0.280956 | − | 0.959721i | \(-0.590651\pi\) | ||
0.280956 | − | 0.959721i | \(-0.409349\pi\) | |||||||
\(464\) | 8.97567i | 0.416685i | ||||||||
\(465\) | −27.0451 | − | 6.11415i | −1.25419 | − | 0.283537i | ||||
\(466\) | 1.61616 | 0.0748671 | ||||||||
\(467\) | − | 14.3402i | − | 0.663585i | −0.943352 | − | 0.331792i | \(-0.892347\pi\) | ||
0.943352 | − | 0.331792i | \(-0.107653\pi\) | |||||||
\(468\) | 2.10336 | + | 16.6859i | 0.0972280 | + | 0.771307i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −4.65555 | + | 2.54555i | −0.214745 | + | 0.117417i | ||||
\(471\) | −6.75935 | − | 5.96078i | −0.311454 | − | 0.274658i | ||||
\(472\) | −3.32689 | −0.153133 | ||||||||
\(473\) | −1.40224 | −0.0644749 | ||||||||
\(474\) | 18.7020 | + | 16.4925i | 0.859010 | + | 0.757525i | ||||
\(475\) | −6.41239 | − | 4.11073i | −0.294221 | − | 0.188613i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 3.86170 | + | 30.6347i | 0.176815 | + | 1.40267i | ||||
\(478\) | − | 17.8576i | − | 0.816786i | ||||||
\(479\) | −22.4434 | −1.02546 | −0.512732 | − | 0.858549i | \(-0.671367\pi\) | ||||
−0.512732 | + | 0.858549i | \(0.671367\pi\) | |||||||
\(480\) | 0.854024 | − | 3.77765i | 0.0389807 | − | 0.172425i | ||||
\(481\) | − | 9.58143i | − | 0.436875i | ||||||
\(482\) | 13.8552i | 0.631087i | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 10.9866 | 0.499391 | ||||||||
\(485\) | −17.5352 | − | 32.0700i | −0.796230 | − | 1.45622i | ||||
\(486\) | −13.8847 | − | 7.08635i | −0.629821 | − | 0.321443i | ||||
\(487\) | 6.14199i | 0.278320i | 0.990270 | + | 0.139160i | \(0.0444403\pi\) | ||||
−0.990270 | + | 0.139160i | \(0.955560\pi\) | |||||||
\(488\) | 5.12186i | 0.231856i | ||||||||
\(489\) | 17.7085 | − | 20.0809i | 0.800804 | − | 0.908088i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | − | 23.7049i | − | 1.06979i | −0.844919 | − | 0.534894i | \(-0.820352\pi\) | ||
0.844919 | − | 0.534894i | \(-0.179648\pi\) | |||||||
\(492\) | −4.96843 | − | 4.38145i | −0.223994 | − | 0.197531i | ||||
\(493\) | 12.4985 | 0.562905 | ||||||||
\(494\) | − | 8.54003i | − | 0.384234i | ||||||
\(495\) | 0.454718 | + | 0.629244i | 0.0204380 | + | 0.0282824i | ||||
\(496\) | 7.15923i | 0.321459i | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 7.15995 | − | 8.11917i | 0.320845 | − | 0.363829i | ||||
\(499\) | 4.46829 | 0.200028 | 0.100014 | − | 0.994986i | \(-0.468111\pi\) | ||||
0.100014 | + | 0.994986i | \(0.468111\pi\) | |||||||
\(500\) | 11.1532 | + | 0.778634i | 0.498786 | + | 0.0348216i | ||||
\(501\) | 7.79994 | − | 8.84489i | 0.348475 | − | 0.395161i | ||||
\(502\) | 23.0104 | 1.02701 | ||||||||
\(503\) | − | 31.7055i | − | 1.41368i | −0.707374 | − | 0.706839i | \(-0.750121\pi\) | ||
0.707374 | − | 0.706839i | \(-0.249879\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 9.72750 | + | 17.7906i | 0.432868 | + | 0.791672i | ||||
\(506\) | 0.762272i | 0.0338871i | ||||||||
\(507\) | −23.9383 | − | 21.1101i | −1.06314 | − | 0.937534i | ||||
\(508\) | − | 11.4466i | − | 0.507859i | ||||||
\(509\) | −11.4778 | −0.508744 | −0.254372 | − | 0.967107i | \(-0.581869\pi\) | ||||
−0.254372 | + | 0.967107i | \(0.581869\pi\) | |||||||
\(510\) | −5.26033 | − | 1.18922i | −0.232932 | − | 0.0526595i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 6.54512 | + | 4.45192i | 0.288974 | + | 0.196557i | ||||
\(514\) | 10.3913i | 0.458341i | ||||||||
\(515\) | 13.4219 | + | 24.5473i | 0.591439 | + | 1.08168i | ||||
\(516\) | 13.8805 | − | 15.7400i | 0.611054 | − | 0.692917i | ||||
\(517\) | −0.274622 | −0.0120779 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −1.49762 | + | 1.69826i | −0.0657384 | + | 0.0745454i | ||||
\(520\) | 6.01380 | + | 10.9986i | 0.263723 | + | 0.482322i | ||||
\(521\) | 29.8994 | 1.30992 | 0.654958 | − | 0.755666i | \(-0.272686\pi\) | ||||
0.654958 | + | 0.755666i | \(0.272686\pi\) | |||||||
\(522\) | 26.7156 | − | 3.36766i | 1.16931 | − | 0.147399i | ||||
\(523\) | 12.5069 | 0.546887 | 0.273443 | − | 0.961888i | \(-0.411837\pi\) | ||||
0.273443 | + | 0.961888i | \(0.411837\pi\) | |||||||
\(524\) | 16.7557 | 0.731978 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −25.2467 | −1.10081 | ||||||||
\(527\) | 9.96915 | 0.434263 | ||||||||
\(528\) | 0.132582 | − | 0.150344i | 0.00576987 | − | 0.00654286i | ||||
\(529\) | 20.3830 | 0.886218 | ||||||||
\(530\) | 11.0411 | + | 20.1931i | 0.479595 | + | 0.877131i | ||||
\(531\) | 1.24825 | + | 9.90231i | 0.0541693 | + | 0.429723i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 21.4406 | 0.928695 | ||||||||
\(534\) | 8.87951 | + | 7.83046i | 0.384254 | + | 0.338857i | ||||
\(535\) | 4.28414 | + | 7.83525i | 0.185219 | + | 0.338747i | ||||
\(536\) | − | 0.689946i | − | 0.0298011i | ||||||
\(537\) | −1.18482 | + | 1.34355i | −0.0511289 | + | 0.0579787i | ||||
\(538\) | −30.3714 | −1.30940 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −11.5644 | − | 1.12458i | −0.497652 | − | 0.0483944i | ||||
\(541\) | −32.4843 | −1.39661 | −0.698304 | − | 0.715802i | \(-0.746062\pi\) | ||||
−0.698304 | + | 0.715802i | \(0.746062\pi\) | |||||||
\(542\) | 17.3027i | 0.743213i | ||||||||
\(543\) | −26.1536 | + | 29.6574i | −1.12236 | + | 1.27272i | ||||
\(544\) | 1.39249i | 0.0597024i | ||||||||
\(545\) | −6.12451 | − | 11.2011i | −0.262345 | − | 0.479803i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 31.9508i | 1.36612i | 0.730363 | + | 0.683059i | \(0.239351\pi\) | ||||
−0.730363 | + | 0.683059i | \(0.760649\pi\) | |||||||
\(548\) | −8.35228 | −0.356792 | ||||||||
\(549\) | 15.2449 | − | 1.92172i | 0.650638 | − | 0.0820169i | ||||
\(550\) | 0.487150 | + | 0.312293i | 0.0207722 | + | 0.0133162i | ||||
\(551\) | −13.6733 | −0.582503 | ||||||||
\(552\) | −8.55647 | − | 7.54559i | −0.364187 | − | 0.321161i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 12.4130i | 0.527378i | ||||||||
\(555\) | 6.45654 | + | 1.45965i | 0.274065 | + | 0.0619585i | ||||
\(556\) | − | 5.96744i | − | 0.253076i | ||||||
\(557\) | −9.16988 | −0.388540 | −0.194270 | − | 0.980948i | \(-0.562234\pi\) | ||||
−0.194270 | + | 0.980948i | \(0.562234\pi\) | |||||||
\(558\) | 21.3091 | − | 2.68614i | 0.902085 | − | 0.113713i | ||||
\(559\) | 67.9241i | 2.87288i | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −0.209352 | − | 0.184618i | −0.00883883 | − | 0.00779459i | ||||
\(562\) | − | 4.53857i | − | 0.191448i | ||||||
\(563\) | − | 4.43363i | − | 0.186855i | −0.995626 | − | 0.0934277i | \(-0.970218\pi\) | ||
0.995626 | − | 0.0934277i | \(-0.0297824\pi\) | |||||||
\(564\) | 2.71843 | − | 3.08262i | 0.114467 | − | 0.129802i | ||||
\(565\) | −7.88162 | − | 14.4147i | −0.331582 | − | 0.606430i | ||||
\(566\) | 9.80557 | 0.412159 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 6.77657i | 0.284339i | ||||||||
\(569\) | 9.00597i | 0.377550i | 0.982020 | + | 0.188775i | \(0.0604517\pi\) | ||||
−0.982020 | + | 0.188775i | \(0.939548\pi\) | |||||||
\(570\) | 5.75478 | + | 1.30100i | 0.241041 | + | 0.0544929i | ||||
\(571\) | −19.9709 | −0.835755 | −0.417878 | − | 0.908503i | \(-0.637226\pi\) | ||||
−0.417878 | + | 0.908503i | \(0.637226\pi\) | |||||||
\(572\) | 0.648788i | 0.0271272i | ||||||||
\(573\) | 13.5458 | − | 15.3606i | 0.565885 | − | 0.641696i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 17.7734 | − | 27.7251i | 0.741204 | − | 1.15622i | ||||
\(576\) | 0.375199 | + | 2.97645i | 0.0156333 | + | 0.124019i | ||||
\(577\) | 25.4389 | 1.05904 | 0.529518 | − | 0.848299i | \(-0.322373\pi\) | ||||
0.529518 | + | 0.848299i | \(0.322373\pi\) | |||||||
\(578\) | −15.0610 | −0.626454 | ||||||||
\(579\) | 4.98571 | − | 5.65364i | 0.207199 | − | 0.234957i | ||||
\(580\) | 17.6097 | − | 9.62861i | 0.731205 | − | 0.399806i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 21.2348 | + | 18.7260i | 0.880210 | + | 0.776220i | ||||
\(583\) | 1.19115i | 0.0493324i | ||||||||
\(584\) | 11.1144 | 0.459918 | ||||||||
\(585\) | 30.4804 | − | 22.0264i | 1.26021 | − | 0.910681i | ||||
\(586\) | − | 26.6749i | − | 1.10193i | ||||||
\(587\) | 4.54732i | 0.187688i | 0.995587 | + | 0.0938440i | \(0.0299155\pi\) | ||||
−0.995587 | + | 0.0938440i | \(0.970085\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −10.9062 | −0.449382 | ||||||||
\(590\) | 3.56891 | + | 6.52717i | 0.146930 | + | 0.268719i | ||||
\(591\) | 22.3645 | + | 19.7223i | 0.919953 | + | 0.811268i | ||||
\(592\) | − | 1.70914i | − | 0.0702452i | ||||||
\(593\) | − | 10.0606i | − | 0.413138i | −0.978432 | − | 0.206569i | \(-0.933770\pi\) | ||
0.978432 | − | 0.206569i | \(-0.0662297\pi\) | |||||||
\(594\) | −0.497234 | − | 0.338213i | −0.0204018 | − | 0.0138771i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 15.9414i | 0.652984i | ||||||||
\(597\) | 3.00394 | − | 3.40638i | 0.122943 | − | 0.139414i | ||||
\(598\) | 36.9243 | 1.50995 | ||||||||
\(599\) | − | 9.29206i | − | 0.379663i | −0.981817 | − | 0.189832i | \(-0.939206\pi\) | ||
0.981817 | − | 0.189832i | \(-0.0607942\pi\) | |||||||
\(600\) | −8.32768 | + | 2.37691i | −0.339976 | + | 0.0970370i | ||||
\(601\) | 8.86899i | 0.361774i | 0.983504 | + | 0.180887i | \(0.0578968\pi\) | ||||
−0.983504 | + | 0.180887i | \(0.942103\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −2.05359 | + | 0.258867i | −0.0836285 | + | 0.0105419i | ||||
\(604\) | 15.9786 | 0.650162 | ||||||||
\(605\) | −11.7858 | − | 21.5551i | −0.479162 | − | 0.876339i | ||||
\(606\) | −11.7798 | − | 10.3881i | −0.478523 | − | 0.421990i | ||||
\(607\) | 12.3180 | 0.499971 | 0.249986 | − | 0.968250i | \(-0.419574\pi\) | ||||
0.249986 | + | 0.968250i | \(0.419574\pi\) | |||||||
\(608\) | − | 1.52338i | − | 0.0617811i | ||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 10.0488 | − | 5.49445i | 0.406864 | − | 0.222464i | ||||
\(611\) | 13.3026i | 0.538167i | ||||||||
\(612\) | 4.14467 | − | 0.522460i | 0.167538 | − | 0.0211192i | ||||
\(613\) | 37.2300i | 1.50370i | 0.659332 | + | 0.751852i | \(0.270839\pi\) | ||||
−0.659332 | + | 0.751852i | \(0.729161\pi\) | |||||||
\(614\) | 23.3482 | 0.942256 | ||||||||
\(615\) | −3.26629 | + | 14.4479i | −0.131709 | + | 0.582597i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 16.0744 | 0.647132 | 0.323566 | − | 0.946206i | \(-0.395118\pi\) | ||||
0.323566 | + | 0.946206i | \(0.395118\pi\) | |||||||
\(618\) | −16.2537 | − | 14.3334i | −0.653819 | − | 0.576576i | ||||
\(619\) | − | 14.7594i | − | 0.593230i | −0.954997 | − | 0.296615i | \(-0.904142\pi\) | ||
0.954997 | − | 0.296615i | \(-0.0958578\pi\) | |||||||
\(620\) | 14.0460 | − | 7.68003i | 0.564101 | − | 0.308438i | ||||
\(621\) | −19.2486 | + | 28.2990i | −0.772422 | + | 1.13560i | ||||
\(622\) | 26.3635 | 1.05708 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | −7.28261 | − | 6.42223i | −0.291538 | − | 0.257095i | ||||
\(625\) | −10.4369 | − | 22.7172i | −0.417476 | − | 0.908688i | ||||
\(626\) | −9.15989 | −0.366103 | ||||||||
\(627\) | 0.229030 | + | 0.201972i | 0.00914657 | + | 0.00806597i | ||||
\(628\) | 5.20320 | 0.207630 | ||||||||
\(629\) | −2.37996 | −0.0948952 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −16.1597 | −0.643307 | −0.321653 | − | 0.946857i | \(-0.604239\pi\) | ||||
−0.321653 | + | 0.946857i | \(0.604239\pi\) | |||||||
\(632\) | −14.3964 | −0.572656 | ||||||||
\(633\) | 32.4519 | + | 28.6180i | 1.28985 | + | 1.13746i | ||||
\(634\) | −28.5498 | −1.13386 | ||||||||
\(635\) | −22.4575 | + | 12.2792i | −0.891198 | + | 0.487287i | ||||
\(636\) | −13.3706 | − | 11.7910i | −0.530179 | − | 0.467542i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 1.03876 | 0.0411251 | ||||||||
\(639\) | 20.1701 | − | 2.54256i | 0.797916 | − | 0.100582i | ||||
\(640\) | 1.07275 | + | 1.96194i | 0.0424040 | + | 0.0775526i | ||||
\(641\) | 20.3494i | 0.803752i | 0.915694 | + | 0.401876i | \(0.131642\pi\) | ||||
−0.915694 | + | 0.401876i | \(0.868358\pi\) | |||||||
\(642\) | −5.18802 | − | 4.57509i | −0.204755 | − | 0.180564i | ||||
\(643\) | 14.4935 | 0.571569 | 0.285784 | − | 0.958294i | \(-0.407746\pi\) | ||||
0.285784 | + | 0.958294i | \(0.407746\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −45.7713 | − | 10.3476i | −1.80224 | − | 0.407438i | ||||
\(646\) | −2.12128 | −0.0834608 | ||||||||
\(647\) | 37.3791i | 1.46952i | 0.678325 | + | 0.734762i | \(0.262706\pi\) | ||||
−0.678325 | + | 0.734762i | \(0.737294\pi\) | |||||||
\(648\) | 8.71845 | − | 2.23352i | 0.342493 | − | 0.0877409i | ||||
\(649\) | 0.385025i | 0.0151135i | ||||||||
\(650\) | 15.1274 | − | 23.5975i | 0.593345 | − | 0.925569i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 15.4578i | 0.605374i | ||||||||
\(653\) | −13.7997 | −0.540024 | −0.270012 | − | 0.962857i | \(-0.587028\pi\) | ||||
−0.270012 | + | 0.962857i | \(0.587028\pi\) | |||||||
\(654\) | 7.41668 | + | 6.54045i | 0.290015 | + | 0.255752i | ||||
\(655\) | −17.9746 | − | 32.8738i | −0.702327 | − | 1.28449i | ||||
\(656\) | 3.82458 | 0.149325 | ||||||||
\(657\) | −4.17012 | − | 33.0815i | −0.162692 | − | 1.29063i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 34.0473i | 1.32629i | 0.748489 | + | 0.663147i | \(0.230780\pi\) | ||||
−0.748489 | + | 0.663147i | \(0.769220\pi\) | |||||||
\(660\) | −0.437192 | − | 0.0988371i | −0.0170177 | − | 0.00384723i | ||||
\(661\) | − | 26.9652i | − | 1.04882i | −0.851465 | − | 0.524412i | \(-0.824285\pi\) | ||
0.851465 | − | 0.524412i | \(-0.175715\pi\) | |||||||
\(662\) | 4.29752 | 0.167028 | ||||||||
\(663\) | −8.94287 | + | 10.1410i | −0.347312 | + | 0.393842i | ||||
\(664\) | 6.24996i | 0.242545i | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −5.08716 | + | 0.641268i | −0.197124 | + | 0.0248486i | ||||
\(667\) | − | 59.1189i | − | 2.28909i | ||||||
\(668\) | 6.80860i | 0.263433i | ||||||||
\(669\) | 4.33199 | + | 3.82020i | 0.167484 | + | 0.147697i | ||||
\(670\) | −1.35363 | + | 0.740137i | −0.0522955 | + | 0.0285940i | ||||
\(671\) | 0.592759 | 0.0228832 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | − | 2.80953i | − | 0.108300i | −0.998533 | − | 0.0541498i | \(-0.982755\pi\) | ||
0.998533 | − | 0.0541498i | \(-0.0172449\pi\) | |||||||
\(674\) | 10.9814i | 0.422988i | ||||||||
\(675\) | 10.1993 | + | 23.8951i | 0.392571 | + | 0.919722i | ||||
\(676\) | 18.4271 | 0.708736 | ||||||||
\(677\) | − | 1.35867i | − | 0.0522178i | −0.999659 | − | 0.0261089i | \(-0.991688\pi\) | ||
0.999659 | − | 0.0261089i | \(-0.00831166\pi\) | |||||||
\(678\) | 9.54451 | + | 8.41690i | 0.366555 | + | 0.323249i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 2.73198 | − | 1.49379i | 0.104767 | − | 0.0572841i | ||||
\(681\) | 22.3526 | − | 25.3472i | 0.856554 | − | 0.971306i | ||||
\(682\) | 0.828546 | 0.0317267 | ||||||||
\(683\) | 25.6509 | 0.981506 | 0.490753 | − | 0.871299i | \(-0.336722\pi\) | ||||
0.490753 | + | 0.871299i | \(0.336722\pi\) | |||||||
\(684\) | −4.53425 | + | 0.571569i | −0.173371 | + | 0.0218545i | ||||
\(685\) | 8.95987 | + | 16.3867i | 0.342339 | + | 0.626104i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 32.2777 | − | 36.6019i | 1.23147 | − | 1.39645i | ||||
\(688\) | 12.1163i | 0.461931i | ||||||||
\(689\) | 57.6990 | 2.19816 | ||||||||
\(690\) | −5.62509 | + | 24.8818i | −0.214144 | + | 0.947234i | ||||
\(691\) | 2.21555i | 0.0842837i | 0.999112 | + | 0.0421418i | \(0.0134181\pi\) | ||||
−0.999112 | + | 0.0421418i | \(0.986582\pi\) | |||||||
\(692\) | − | 1.30728i | − | 0.0496954i | ||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 1.76157 | 0.0668684 | ||||||||
\(695\) | −11.7078 | + | 6.40154i | −0.444101 | + | 0.242824i | ||||
\(696\) | −10.2825 | + | 11.6601i | −0.389758 | + | 0.441974i | ||||
\(697\) | − | 5.32569i | − | 0.201725i | ||||||
\(698\) | 8.42636i | 0.318942i | ||||||||
\(699\) | 2.09951 | + | 1.85147i | 0.0794108 | + | 0.0700291i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 33.8049i | 1.27680i | 0.769707 | + | 0.638398i | \(0.220402\pi\) | ||||
−0.769707 | + | 0.638398i | \(0.779598\pi\) | |||||||
\(702\) | −16.3830 | + | 24.0859i | −0.618335 | + | 0.909064i | ||||
\(703\) | 2.60366 | 0.0981991 | ||||||||
\(704\) | 0.115731i | 0.00436178i | ||||||||
\(705\) | −8.96410 | − | 2.02654i | −0.337608 | − | 0.0763239i | ||||
\(706\) | − | 19.0584i | − | 0.717272i | ||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | −4.32188 | − | 3.81129i | −0.162426 | − | 0.143237i | ||||
\(709\) | −25.5761 | −0.960532 | −0.480266 | − | 0.877123i | \(-0.659460\pi\) | ||||
−0.480266 | + | 0.877123i | \(0.659460\pi\) | |||||||
\(710\) | 13.2952 | − | 7.26954i | 0.498961 | − | 0.272821i | ||||
\(711\) | 5.40150 | + | 42.8500i | 0.202572 | + | 1.60700i | ||||
\(712\) | −6.83525 | −0.256162 | ||||||||
\(713\) | − | 47.1548i | − | 1.76596i | ||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 1.27288 | − | 0.695984i | 0.0476032 | − | 0.0260283i | ||||
\(716\) | − | 1.03424i | − | 0.0386513i | ||||||
\(717\) | 20.4576 | − | 23.1983i | 0.764004 | − | 0.866358i | ||||
\(718\) | − | 21.9942i | − | 0.820816i | ||||||
\(719\) | 11.9693 | 0.446380 | 0.223190 | − | 0.974775i | \(-0.428353\pi\) | ||||
0.223190 | + | 0.974775i | \(0.428353\pi\) | |||||||
\(720\) | 5.43712 | − | 3.92909i | 0.202630 | − | 0.146428i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −16.6793 | −0.620740 | ||||||||
\(723\) | −15.8725 | + | 17.9990i | −0.590305 | + | 0.669388i | ||||
\(724\) | − | 22.8296i | − | 0.848457i | ||||||
\(725\) | −37.7815 | − | 24.2203i | −1.40317 | − | 0.899518i | ||||
\(726\) | 14.2724 | + | 12.5863i | 0.529700 | + | 0.467120i | ||||
\(727\) | −4.55409 | −0.168902 | −0.0844509 | − | 0.996428i | \(-0.526914\pi\) | ||||
−0.0844509 | + | 0.996428i | \(0.526914\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −9.91910 | − | 25.1120i | −0.367374 | − | 0.930073i | ||||
\(730\) | −11.9230 | − | 21.8059i | −0.441288 | − | 0.807071i | ||||
\(731\) | 16.8719 | 0.624028 | ||||||||
\(732\) | −5.86761 | + | 6.65369i | −0.216873 | + | 0.245927i | ||||
\(733\) | 1.52076 | 0.0561706 | 0.0280853 | − | 0.999606i | \(-0.491059\pi\) | ||||
0.0280853 | + | 0.999606i | \(0.491059\pi\) | |||||||
\(734\) | 16.0333 | 0.591800 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 6.58658 | 0.242784 | ||||||||
\(737\) | −0.0798482 | −0.00294125 | ||||||||
\(738\) | −1.43498 | − | 11.3837i | −0.0528224 | − | 0.419039i | ||||
\(739\) | 7.98264 | 0.293646 | 0.146823 | − | 0.989163i | \(-0.453095\pi\) | ||||
0.146823 | + | 0.989163i | \(0.453095\pi\) | |||||||
\(740\) | −3.35323 | + | 1.83347i | −0.123267 | + | 0.0673998i | ||||
\(741\) | 9.78347 | − | 11.0942i | 0.359405 | − | 0.407554i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 23.8272 | 0.874136 | 0.437068 | − | 0.899429i | \(-0.356017\pi\) | ||||
0.437068 | + | 0.899429i | \(0.356017\pi\) | |||||||
\(744\) | −8.20162 | + | 9.30039i | −0.300686 | + | 0.340969i | ||||
\(745\) | 31.2760 | − | 17.1010i | 1.14587 | − | 0.626533i | ||||
\(746\) | − | 15.5769i | − | 0.570310i | ||||||
\(747\) | 18.6027 | − | 2.34498i | 0.680636 | − | 0.0857983i | ||||
\(748\) | 0.161154 | 0.00589238 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 13.5968 | + | 13.7886i | 0.496487 | + | 0.503489i | ||||
\(751\) | 35.3284 | 1.28915 | 0.644577 | − | 0.764540i | \(-0.277034\pi\) | ||||
0.644577 | + | 0.764540i | \(0.277034\pi\) | |||||||
\(752\) | 2.37293i | 0.0865319i | ||||||||
\(753\) | 29.8923 | + | 26.3608i | 1.08934 | + | 0.960640i | ||||
\(754\) | − | 50.3175i | − | 1.83246i | ||||||
\(755\) | −17.1410 | − | 31.3492i | −0.623825 | − | 1.14091i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 44.6062i | 1.62124i | 0.585574 | + | 0.810619i | \(0.300869\pi\) | ||||
−0.585574 | + | 0.810619i | \(0.699131\pi\) | |||||||
\(758\) | −7.30235 | −0.265233 | ||||||||
\(759\) | −0.873259 | + | 0.990250i | −0.0316973 | + | 0.0359438i | ||||
\(760\) | −2.98878 | + | 1.63420i | −0.108414 | + | 0.0592785i | ||||
\(761\) | 14.9794 | 0.543004 | 0.271502 | − | 0.962438i | \(-0.412480\pi\) | ||||
0.271502 | + | 0.962438i | \(0.412480\pi\) | |||||||
\(762\) | 13.1132 | − | 14.8700i | 0.475040 | − | 0.538681i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 11.8242i | 0.427785i | ||||||||
\(765\) | −5.47121 | − | 7.57113i | −0.197812 | − | 0.273735i | ||||
\(766\) | − | 15.8538i | − | 0.572820i | ||||||
\(767\) | 18.6505 | 0.673431 | ||||||||
\(768\) | −1.29908 | − | 1.14560i | −0.0468764 | − | 0.0413383i | ||||
\(769\) | 0.368578i | 0.0132913i | 0.999978 | + | 0.00664564i | \(0.00211539\pi\) | ||||
−0.999978 | + | 0.00664564i | \(0.997885\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −11.9043 | + | 13.4991i | −0.428723 | + | 0.486159i | ||||
\(772\) | 4.35205i | 0.156634i | ||||||||
\(773\) | − | 19.7918i | − | 0.711862i | −0.934512 | − | 0.355931i | \(-0.884164\pi\) | ||
0.934512 | − | 0.355931i | \(-0.115836\pi\) | |||||||
\(774\) | 36.0636 | − | 4.54604i | 1.29628 | − | 0.163404i | ||||
\(775\) | −30.1356 | − | 19.3187i | −1.08250 | − | 0.693949i | ||||
\(776\) | −16.3461 | −0.586789 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | − | 2.89083i | − | 0.103641i | ||||||
\(779\) | 5.82628i | 0.208748i | ||||||||
\(780\) | −4.78765 | + | 21.1775i | −0.171425 | + | 0.758275i | ||||
\(781\) | 0.784260 | 0.0280630 | ||||||||
\(782\) | − | 9.17173i | − | 0.327981i | ||||||
\(783\) | 38.5636 | + | 26.2305i | 1.37815 | + | 0.937403i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −5.58170 | − | 10.2084i | −0.199220 | − | 0.364352i | ||||
\(786\) | 21.7670 | + | 19.1954i | 0.776403 | + | 0.684677i | ||||
\(787\) | −12.0023 | −0.427837 | −0.213918 | − | 0.976852i | \(-0.568623\pi\) | ||||
−0.213918 | + | 0.976852i | \(0.568623\pi\) | |||||||
\(788\) | −17.2157 | −0.613284 | ||||||||
\(789\) | −32.7974 | − | 28.9226i | −1.16762 | − | 1.02967i | ||||
\(790\) | 15.4436 | + | 28.2448i | 0.549460 | + | 1.00491i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 0.344467 | − | 0.0434222i | 0.0122401 | − | 0.00154294i | ||||
\(793\) | − | 28.7131i | − | 1.01963i | ||||||
\(794\) | 10.5240 | 0.373482 | ||||||||
\(795\) | −8.78995 | + | 38.8811i | −0.311747 | + | 1.37897i | ||||
\(796\) | 2.62215i | 0.0929398i | ||||||||
\(797\) | 45.5838i | 1.61466i | 0.590099 | + | 0.807331i | \(0.299089\pi\) | ||||
−0.590099 | + | 0.807331i | \(0.700911\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 3.30428 | 0.116897 | ||||||||
\(800\) | 2.69843 | − | 4.20933i | 0.0954041 | − | 0.148822i | ||||
\(801\) | 2.56458 | + | 20.3447i | 0.0906149 | + | 0.718846i | ||||
\(802\) | 35.1257i | 1.24033i | ||||||||
\(803\) | − | 1.28629i | − | 0.0453920i | ||||||
\(804\) | 0.790403 | − | 0.896293i | 0.0278754 | − | 0.0316098i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | − | 40.1346i | − | 1.41368i | ||||||
\(807\) | −39.4548 | − | 34.7935i | −1.38887 | − | 1.22479i | ||||
\(808\) | 9.06786 | 0.319006 | ||||||||
\(809\) | 37.7256i | 1.32636i | 0.748460 | + | 0.663180i | \(0.230794\pi\) | ||||
−0.748460 | + | 0.663180i | \(0.769206\pi\) | |||||||
\(810\) | −13.7347 | − | 14.7091i | −0.482589 | − | 0.516825i | ||||
\(811\) | 30.8984i | 1.08499i | 0.840059 | + | 0.542495i | \(0.182520\pi\) | ||||
−0.840059 | + | 0.542495i | \(0.817480\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −19.8219 | + | 22.4775i | −0.695186 | + | 0.788319i | ||||
\(814\) | −0.197801 | −0.00693291 | ||||||||
\(815\) | 30.3273 | − | 16.5823i | 1.06232 | − | 0.580852i | ||||
\(816\) | −1.59524 | + | 1.80895i | −0.0558444 | + | 0.0633259i | ||||
\(817\) | −18.4577 | −0.645755 | ||||||||
\(818\) | 19.8638i | 0.694522i | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −4.10281 | − | 7.50361i | −0.143276 | − | 0.262038i | ||||
\(821\) | − | 2.54824i | − | 0.0889341i | −0.999011 | − | 0.0444670i | \(-0.985841\pi\) | ||
0.999011 | − | 0.0444670i | \(-0.0141590\pi\) | |||||||
\(822\) | −10.8503 | − | 9.56838i | −0.378446 | − | 0.333736i | ||||
\(823\) | − | 39.9687i | − | 1.39322i | −0.717449 | − | 0.696611i | \(-0.754690\pi\) | ||
0.717449 | − | 0.696611i | \(-0.245310\pi\) | |||||||
\(824\) | 12.5117 | 0.435867 | ||||||||
\(825\) | 0.275083 | + | 0.963772i | 0.00957715 | + | 0.0335542i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 4.82747 | 0.167868 | 0.0839338 | − | 0.996471i | \(-0.473252\pi\) | ||||
0.0839338 | + | 0.996471i | \(0.473252\pi\) | |||||||
\(828\) | −2.47128 | − | 19.6046i | −0.0858828 | − | 0.681306i | ||||
\(829\) | 38.5397i | 1.33854i | 0.743019 | + | 0.669270i | \(0.233393\pi\) | ||||
−0.743019 | + | 0.669270i | \(0.766607\pi\) | |||||||
\(830\) | 12.2621 | − | 6.70461i | 0.425622 | − | 0.232721i | ||||
\(831\) | −14.2203 | + | 16.1254i | −0.493298 | + | 0.559385i | ||||
\(832\) | 5.60599 | 0.194353 | ||||||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 6.83630 | − | 7.75216i | 0.236722 | − | 0.268435i | ||||
\(835\) | 13.3581 | − | 7.30390i | 0.462276 | − | 0.252762i | ||||
\(836\) | −0.176302 | −0.00609753 | ||||||||
\(837\) | 30.7593 | + | 20.9222i | 1.06320 | + | 0.723176i | ||||
\(838\) | 14.0283 | 0.484599 | ||||||||
\(839\) | −2.66619 | −0.0920471 | −0.0460236 | − | 0.998940i | \(-0.514655\pi\) | ||||
−0.0460236 | + | 0.998940i | \(0.514655\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −51.5626 | −1.77802 | ||||||||
\(842\) | −15.8988 | −0.547908 | ||||||||
\(843\) | 5.19938 | − | 5.89594i | 0.179076 | − | 0.203067i | ||||
\(844\) | −24.9808 | −0.859873 | ||||||||
\(845\) | −19.7676 | − | 36.1530i | −0.680027 | − | 1.24370i | ||||
\(846\) | 7.06290 | − | 0.890321i | 0.242827 | − | 0.0306099i | ||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 10.2924 | 0.353442 | ||||||||
\(849\) | 12.7382 | + | 11.2333i | 0.437174 | + | 0.385525i | ||||
\(850\) | −5.86144 | − | 3.75754i | −0.201046 | − | 0.128883i | ||||
\(851\) | 11.2574i | 0.385898i | ||||||||
\(852\) | −7.76324 | + | 8.80328i | −0.265964 | + | 0.301596i | ||||
\(853\) | 12.9140 | 0.442167 | 0.221083 | − | 0.975255i | \(-0.429041\pi\) | ||||
0.221083 | + | 0.975255i | \(0.429041\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 5.98548 | + | 8.28278i | 0.204699 | + | 0.283265i | ||||
\(856\) | 3.99362 | 0.136499 | ||||||||
\(857\) | 3.50975i | 0.119891i | 0.998202 | + | 0.0599453i | \(0.0190926\pi\) | ||||
−0.998202 | + | 0.0599453i | \(0.980907\pi\) | |||||||
\(858\) | −0.743251 | + | 0.842825i | −0.0253742 | + | 0.0287736i | ||||
\(859\) | 42.6001i | 1.45350i | 0.686905 | + | 0.726748i | \(0.258969\pi\) | ||||
−0.686905 | + | 0.726748i | \(0.741031\pi\) | |||||||
\(860\) | 23.7716 | − | 12.9977i | 0.810603 | − | 0.443219i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | − | 9.78952i | − | 0.333432i | ||||||
\(863\) | −22.1376 | −0.753572 | −0.376786 | − | 0.926300i | \(-0.622971\pi\) | ||||
−0.376786 | + | 0.926300i | \(0.622971\pi\) | |||||||
\(864\) | −2.92240 | + | 4.29646i | −0.0994222 | + | 0.146168i | ||||
\(865\) | −2.56481 | + | 1.40238i | −0.0872063 | + | 0.0476824i | ||||
\(866\) | −18.4072 | −0.625503 | ||||||||
\(867\) | −19.5654 | − | 17.2539i | −0.664474 | − | 0.585972i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 1.66611i | 0.0565188i | ||||||||
\(870\) | 33.9069 | + | 7.66543i | 1.14955 | + | 0.259883i | ||||
\(871\) | 3.86783i | 0.131056i | ||||||||
\(872\) | −5.70919 | −0.193338 | ||||||||
\(873\) | 6.13302 | + | 48.6531i | 0.207571 | + | 1.64666i | ||||
\(874\) | 10.0338i | 0.339400i | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 14.4385 | + | 12.7327i | 0.487831 | + | 0.430198i | ||||
\(877\) | 12.4506i | 0.420426i | 0.977656 | + | 0.210213i | \(0.0674158\pi\) | ||||
−0.977656 | + | 0.210213i | \(0.932584\pi\) | |||||||
\(878\) | − | 22.4392i | − | 0.757286i | ||||||
\(879\) | 30.5587 | − | 34.6527i | 1.03072 | − | 1.16881i | ||||
\(880\) | 0.227058 | − | 0.124150i | 0.00765412 | − | 0.00418510i | ||||
\(881\) | 50.0756 | 1.68709 | 0.843545 | − | 0.537059i | \(-0.180465\pi\) | ||||
0.843545 | + | 0.537059i | \(0.180465\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 11.7597i | 0.395745i | 0.980228 | + | 0.197872i | \(0.0634032\pi\) | ||||
−0.980228 | + | 0.197872i | \(0.936597\pi\) | |||||||
\(884\) | − | 7.80628i | − | 0.262554i | ||||||
\(885\) | −2.84124 | + | 12.5678i | −0.0955073 | + | 0.422463i | ||||
\(886\) | −31.3372 | −1.05279 | ||||||||
\(887\) | − | 38.3417i | − | 1.28739i | −0.765282 | − | 0.643695i | \(-0.777401\pi\) | ||
0.765282 | − | 0.643695i | \(-0.222599\pi\) | |||||||
\(888\) | 1.95799 | − | 2.22030i | 0.0657059 | − | 0.0745085i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 7.33248 | + | 13.4104i | 0.245785 | + | 0.449516i | ||||
\(891\) | −0.258488 | − | 1.00900i | −0.00865966 | − | 0.0338026i | ||||
\(892\) | −3.33467 | −0.111653 | ||||||||
\(893\) | −3.61487 | −0.120967 | ||||||||
\(894\) | −18.2624 | + | 20.7091i | −0.610787 | + | 0.692614i | ||||
\(895\) | −2.02912 | + | 1.10947i | −0.0678259 | + | 0.0370856i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 47.9675 | + | 42.3005i | 1.60159 | + | 1.41237i | ||||
\(898\) | 6.53984i | 0.218237i | ||||||||
\(899\) | −64.2589 | −2.14315 | ||||||||
\(900\) | −13.5413 | − | 6.45241i | −0.451376 | − | 0.215080i | ||||
\(901\) | − | 14.3320i | − | 0.477469i | ||||||
\(902\) | − | 0.442623i | − | 0.0147378i | ||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −7.34715 | −0.244363 | ||||||||
\(905\) | −44.7904 | + | 24.4904i | −1.48888 | + | 0.814088i | ||||
\(906\) | 20.7575 | + | 18.3051i | 0.689621 | + | 0.608148i | ||||
\(907\) | 20.5081i | 0.680961i | 0.940252 | + | 0.340480i | \(0.110590\pi\) | ||||
−0.940252 | + | 0.340480i | \(0.889410\pi\) | |||||||
\(908\) | 19.5117i | 0.647519i | ||||||||
\(909\) | −3.40225 | − | 26.9900i | −0.112846 | − | 0.895201i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 9.28164i | 0.307514i | 0.988109 | + | 0.153757i | \(0.0491374\pi\) | ||||
−0.988109 | + | 0.153757i | \(0.950863\pi\) | |||||||
\(912\) | 1.74518 | − | 1.97898i | 0.0577887 | − | 0.0655307i | ||||
\(913\) | 0.723315 | 0.0239382 | ||||||||
\(914\) | − | 10.5360i | − | 0.348501i | ||||||
\(915\) | 19.3486 | + | 4.37419i | 0.639645 | + | 0.144606i | ||||
\(916\) | 28.1753i | 0.930939i | ||||||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 5.98277 | + | 4.06941i | 0.197461 | + | 0.134311i | ||||
\(919\) | −28.5962 | −0.943300 | −0.471650 | − | 0.881786i | \(-0.656341\pi\) | ||||
−0.471650 | + | 0.881786i | \(0.656341\pi\) | |||||||
\(920\) | −7.06572 | − | 12.9225i | −0.232950 | − | 0.426042i | ||||
\(921\) | 30.3311 | + | 26.7477i | 0.999443 | + | 0.881366i | ||||
\(922\) | 10.3034 | 0.339324 | ||||||||
\(923\) | − | 37.9894i | − | 1.25044i | ||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 7.19433 | + | 4.61200i | 0.236548 | + | 0.151642i | ||||
\(926\) | 41.3015i | 1.35725i | ||||||||
\(927\) | −4.69439 | − | 37.2405i | −0.154184 | − | 1.22314i | ||||
\(928\) | − | 8.97567i | − | 0.294641i | ||||||
\(929\) | 35.0068 | 1.14854 | 0.574268 | − | 0.818667i | \(-0.305287\pi\) | ||||
0.574268 | + | 0.818667i | \(0.305287\pi\) | |||||||
\(930\) | 27.0451 | + | 6.11415i | 0.886843 | + | 0.200491i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | −1.61616 | −0.0529390 | ||||||||
\(933\) | 34.2482 | + | 30.2020i | 1.12123 | + | 0.988769i | ||||
\(934\) | 14.3402i | 0.469225i | ||||||||
\(935\) | −0.172877 | − | 0.316175i | −0.00565370 | − | 0.0103400i | ||||
\(936\) | −2.10336 | − | 16.6859i | −0.0687506 | − | 0.545396i | ||||
\(937\) | −37.0650 | −1.21086 | −0.605431 | − | 0.795898i | \(-0.706999\pi\) | ||||
−0.605431 | + | 0.795898i | \(0.706999\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −11.8994 | − | 10.4936i | −0.388322 | − | 0.342445i | ||||
\(940\) | 4.65555 | − | 2.54555i | 0.151847 | − | 0.0830267i | ||||
\(941\) | −24.9310 | −0.812727 | −0.406364 | − | 0.913711i | \(-0.633203\pi\) | ||||
−0.406364 | + | 0.913711i | \(0.633203\pi\) | |||||||
\(942\) | 6.75935 | + | 5.96078i | 0.220231 | + | 0.194213i | ||||
\(943\) | −25.1909 | −0.820329 | ||||||||
\(944\) | 3.32689 | 0.108281 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 1.40224 | 0.0455907 | ||||||||
\(947\) | 28.1276 | 0.914026 | 0.457013 | − | 0.889460i | \(-0.348919\pi\) | ||||
0.457013 | + | 0.889460i | \(0.348919\pi\) | |||||||
\(948\) | −18.7020 | − | 16.4925i | −0.607412 | − | 0.535651i | ||||
\(949\) | −62.3074 | −2.02258 | ||||||||
\(950\) | 6.41239 | + | 4.11073i | 0.208045 | + | 0.133370i | ||||
\(951\) | −37.0883 | − | 32.7066i | −1.20267 | − | 1.06058i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −21.7868 | −0.705745 | −0.352872 | − | 0.935671i | \(-0.614795\pi\) | ||||
−0.352872 | + | 0.935671i | \(0.614795\pi\) | |||||||
\(954\) | −3.86170 | − | 30.6347i | −0.125027 | − | 0.991836i | ||||
\(955\) | 23.1984 | − | 12.6844i | 0.750683 | − | 0.410456i | ||||
\(956\) | 17.8576i | 0.577555i | ||||||||
\(957\) | 1.34943 | + | 1.19001i | 0.0436210 | + | 0.0384675i | ||||
\(958\) | 22.4434 | 0.725113 | ||||||||
\(959\) | 0 | 0 | ||||||||
\(960\) | −0.854024 | + | 3.77765i | −0.0275635 | + | 0.121923i | ||||
\(961\) | −20.2546 | −0.653374 | ||||||||
\(962\) | 9.58143i | 0.308918i | ||||||||
\(963\) | −1.49840 | − | 11.8868i | −0.0482853 | − | 0.383046i | ||||
\(964\) | − | 13.8552i | − | 0.446246i | ||||||
\(965\) | 8.53847 | − | 4.66864i | 0.274863 | − | 0.150289i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | − | 24.7893i | − | 0.797169i | −0.917132 | − | 0.398584i | \(-0.869502\pi\) | ||
0.917132 | − | 0.398584i | \(-0.130498\pi\) | |||||||
\(968\) | −10.9866 | −0.353123 | ||||||||
\(969\) | −2.75571 | − | 2.43014i | −0.0885262 | − | 0.0780675i | ||||
\(970\) | 17.5352 | + | 32.0700i | 0.563020 | + | 1.02971i | ||||
\(971\) | −0.430384 | −0.0138117 | −0.00690585 | − | 0.999976i | \(-0.502198\pi\) | ||||
−0.00690585 | + | 0.999976i | \(0.502198\pi\) | |||||||
\(972\) | 13.8847 | + | 7.08635i | 0.445351 | + | 0.227295i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | − | 6.14199i | − | 0.196802i | ||||||
\(975\) | 46.6849 | − | 13.3249i | 1.49511 | − | 0.426740i | ||||
\(976\) | − | 5.12186i | − | 0.163947i | ||||||
\(977\) | −39.7977 | −1.27324 | −0.636621 | − | 0.771177i | \(-0.719668\pi\) | ||||
−0.636621 | + | 0.771177i | \(0.719668\pi\) | |||||||
\(978\) | −17.7085 | + | 20.0809i | −0.566254 | + | 0.642115i | ||||
\(979\) | 0.791051i | 0.0252821i | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 2.14208 | + | 16.9931i | 0.0683915 | + | 0.542548i | ||||
\(982\) | 23.7049i | 0.756454i | ||||||||
\(983\) | 12.9667i | 0.413572i | 0.978386 | + | 0.206786i | \(0.0663004\pi\) | ||||
−0.978386 | + | 0.206786i | \(0.933700\pi\) | |||||||
\(984\) | 4.96843 | + | 4.38145i | 0.158388 | + | 0.139675i | ||||
\(985\) | 18.4681 | + | 33.7762i | 0.588442 | + | 1.07620i | ||||
\(986\) | −12.4985 | −0.398034 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 8.54003i | 0.271695i | ||||||||
\(989\) | − | 79.8052i | − | 2.53766i | ||||||
\(990\) | −0.454718 | − | 0.629244i | −0.0144519 | − | 0.0199987i | ||||
\(991\) | −13.9146 | −0.442011 | −0.221006 | − | 0.975273i | \(-0.570934\pi\) | ||||
−0.221006 | + | 0.975273i | \(0.570934\pi\) | |||||||
\(992\) | − | 7.15923i | − | 0.227306i | ||||||
\(993\) | 5.58281 | + | 4.92324i | 0.177165 | + | 0.156234i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 5.14451 | − | 2.81290i | 0.163092 | − | 0.0891750i | ||||
\(996\) | −7.15995 | + | 8.11917i | −0.226872 | + | 0.257266i | ||||
\(997\) | 25.8161 | 0.817604 | 0.408802 | − | 0.912623i | \(-0.365947\pi\) | ||||
0.408802 | + | 0.912623i | \(0.365947\pi\) | |||||||
\(998\) | −4.46829 | −0.141441 | ||||||||
\(999\) | −7.34325 | − | 4.99480i | −0.232330 | − | 0.158028i |
(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 | 1470.2.d.g.1469.5 | ✓ | 24 | |
3.2 | odd | 2 | 1470.2.d.h.1469.6 | yes | 24 | ||
5.4 | even | 2 | 1470.2.d.h.1469.20 | yes | 24 | ||
7.6 | odd | 2 | inner | 1470.2.d.g.1469.20 | yes | 24 | |
15.14 | odd | 2 | inner | 1470.2.d.g.1469.19 | yes | 24 | |
21.20 | even | 2 | 1470.2.d.h.1469.19 | yes | 24 | ||
35.34 | odd | 2 | 1470.2.d.h.1469.5 | yes | 24 | ||
105.104 | even | 2 | inner | 1470.2.d.g.1469.6 | yes | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
1470.2.d.g.1469.5 | ✓ | 24 | 1.1 | even | 1 | trivial | |
1470.2.d.g.1469.6 | yes | 24 | 105.104 | even | 2 | inner | |
1470.2.d.g.1469.19 | yes | 24 | 15.14 | odd | 2 | inner | |
1470.2.d.g.1469.20 | yes | 24 | 7.6 | odd | 2 | inner | |
1470.2.d.h.1469.5 | yes | 24 | 35.34 | odd | 2 | ||
1470.2.d.h.1469.6 | yes | 24 | 3.2 | odd | 2 | ||
1470.2.d.h.1469.19 | yes | 24 | 21.20 | even | 2 | ||
1470.2.d.h.1469.20 | yes | 24 | 5.4 | even | 2 |