Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [572,2,Mod(41,572)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(572, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([0, 18, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("572.41");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 572 = 2^{2} \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 572.bv (of order \(60\), degree \(16\), 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: | \(4.56744299562\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 41.10 | ||
Character | \(\chi\) | \(=\) | 572.41 |
Dual form | 572.2.bv.a.293.10 |
$q$-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 \(\left(\mathbb{Z}/572\mathbb{Z}\right)^\times\).
\(n\) | \(287\) | \(353\) | \(365\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{12}\right)\) | \(e\left(\frac{3}{10}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 0.632506 | − | 0.702469i | 0.365177 | − | 0.405570i | −0.532354 | − | 0.846522i | \(-0.678692\pi\) |
0.897531 | + | 0.440952i | \(0.145359\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −1.21053 | + | 0.191729i | −0.541365 | + | 0.0857438i | −0.421128 | − | 0.907001i | \(-0.638366\pi\) |
−0.120237 | + | 0.992745i | \(0.538366\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −4.38981 | − | 0.230060i | −1.65919 | − | 0.0869545i | −0.800462 | − | 0.599384i | \(-0.795412\pi\) |
−0.858729 | + | 0.512430i | \(0.828746\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0.220187 | + | 2.09493i | 0.0733955 | + | 0.698312i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −0.682791 | − | 3.24558i | −0.205869 | − | 0.978580i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 2.46207 | + | 2.63405i | 0.682855 | + | 0.730554i | ||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −0.630983 | + | 0.971629i | −0.162919 | + | 0.250873i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −5.55644 | + | 2.47389i | −1.34763 | + | 0.600006i | −0.948468 | − | 0.316873i | \(-0.897367\pi\) |
−0.399167 | + | 0.916878i | \(0.630700\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −3.80425 | − | 5.85804i | −0.872756 | − | 1.34393i | −0.938208 | − | 0.346071i | \(-0.887516\pi\) |
0.0654526 | − | 0.997856i | \(-0.479151\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −2.93819 | + | 2.93819i | −0.641165 | + | 0.641165i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −5.07948 | + | 2.93264i | −1.05914 | + | 0.611497i | −0.925196 | − | 0.379491i | \(-0.876099\pi\) |
−0.133949 | + | 0.990988i | \(0.542766\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −3.32666 | + | 1.08090i | −0.665332 | + | 0.216180i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 3.90510 | + | 2.83722i | 0.751537 | + | 0.546024i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −0.808570 | − | 3.80402i | −0.150148 | − | 0.706389i | −0.987229 | − | 0.159310i | \(-0.949073\pi\) |
0.837081 | − | 0.547079i | \(-0.184260\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −1.44024 | + | 9.09332i | −0.258675 | + | 1.63321i | 0.426258 | + | 0.904602i | \(0.359832\pi\) |
−0.684932 | + | 0.728607i | \(0.740168\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −2.71179 | − | 1.57321i | −0.472062 | − | 0.273861i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 5.35810 | − | 0.563159i | 0.905684 | − | 0.0951912i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −1.97316 | − | 1.28138i | −0.324385 | − | 0.210658i | 0.372164 | − | 0.928167i | \(-0.378616\pi\) |
−0.696550 | + | 0.717508i | \(0.745282\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 3.40761 | − | 0.0634726i | 0.545654 | − | 0.0101637i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 3.08095 | − | 0.161466i | 0.481163 | − | 0.0252167i | 0.189787 | − | 0.981825i | \(-0.439220\pi\) |
0.291376 | + | 0.956609i | \(0.405887\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 4.59530 | − | 7.95930i | 0.700777 | − | 1.21378i | −0.267417 | − | 0.963581i | \(-0.586170\pi\) |
0.968194 | − | 0.250201i | \(-0.0804966\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −0.668202 | − | 2.49376i | −0.0996097 | − | 0.371748i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 0.451559 | − | 0.886235i | 0.0658667 | − | 0.129271i | −0.855726 | − | 0.517430i | \(-0.826889\pi\) |
0.921592 | + | 0.388159i | \(0.126889\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 12.2558 | + | 1.28814i | 1.75083 | + | 0.184020i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −1.77665 | + | 5.46797i | −0.248781 | + | 0.765669i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −0.803230 | + | 0.583581i | −0.110332 | + | 0.0801610i | −0.641583 | − | 0.767053i | \(-0.721722\pi\) |
0.531251 | + | 0.847214i | \(0.321722\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 1.44881 | + | 3.79796i | 0.195358 | + | 0.512117i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −6.52130 | − | 1.03287i | −0.863767 | − | 0.136807i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −0.354898 | + | 6.77186i | −0.0462038 | + | 0.881621i | 0.872971 | + | 0.487772i | \(0.162190\pi\) |
−0.919175 | + | 0.393849i | \(0.871143\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1.87287 | + | 4.20652i | 0.239796 | + | 0.538590i | 0.992850 | − | 0.119368i | \(-0.0380869\pi\) |
−0.753054 | + | 0.657958i | \(0.771420\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −0.484616 | − | 9.24701i | −0.0610558 | − | 1.16501i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −3.48543 | − | 2.71655i | −0.432314 | − | 0.336946i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −9.97867 | − | 2.67378i | −1.21909 | − | 0.326654i | −0.408766 | − | 0.912639i | \(-0.634041\pi\) |
−0.810322 | + | 0.585985i | \(0.800708\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −1.15271 | + | 5.42309i | −0.138770 | + | 0.652863i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 3.25922 | − | 8.49056i | 0.386798 | − | 1.00764i | −0.592563 | − | 0.805524i | \(-0.701884\pi\) |
0.979361 | − | 0.202119i | \(-0.0647829\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −1.29708 | − | 2.54566i | −0.151812 | − | 0.297947i | 0.802558 | − | 0.596574i | \(-0.203472\pi\) |
−0.954370 | + | 0.298626i | \(0.903472\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −1.34484 | + | 3.02055i | −0.155288 | + | 0.348783i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 2.25064 | + | 14.4046i | 0.256484 | + | 1.64155i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 2.86033 | + | 3.93690i | 0.321812 | + | 0.442936i | 0.939019 | − | 0.343864i | \(-0.111736\pi\) |
−0.617207 | + | 0.786801i | \(0.711736\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −1.71827 | + | 0.365230i | −0.190919 | + | 0.0405811i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −1.85643 | − | 11.7210i | −0.203770 | − | 1.28655i | −0.851368 | − | 0.524569i | \(-0.824227\pi\) |
0.647598 | − | 0.761982i | \(-0.275773\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 6.25192 | − | 4.06004i | 0.678116 | − | 0.440373i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −3.18363 | − | 1.83807i | −0.341321 | − | 0.197062i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 2.86807 | − | 10.7038i | 0.304015 | − | 1.13460i | −0.629775 | − | 0.776777i | \(-0.716853\pi\) |
0.933790 | − | 0.357821i | \(-0.116480\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −10.2020 | − | 12.1294i | −1.06946 | − | 1.27151i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 5.47681 | + | 6.76330i | 0.567919 | + | 0.701322i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 5.72832 | + | 6.36194i | 0.587713 | + | 0.652721i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 3.09119 | + | 2.50320i | 0.313863 | + | 0.254161i | 0.773287 | − | 0.634056i | \(-0.218611\pi\) |
−0.459425 | + | 0.888217i | \(0.651944\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 6.64894 | − | 2.14504i | 0.668244 | − | 0.215584i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −14.5700 | − | 6.48697i | −1.44977 | − | 0.645477i | −0.477346 | − | 0.878715i | \(-0.658401\pi\) |
−0.972420 | + | 0.233238i | \(0.925068\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 5.61126 | + | 1.82321i | 0.552894 | + | 0.179646i | 0.572121 | − | 0.820169i | \(-0.306121\pi\) |
−0.0192276 | + | 0.999815i | \(0.506121\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 2.99343 | − | 4.12010i | 0.292128 | − | 0.402080i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 8.72607 | + | 7.85699i | 0.843581 | + | 0.759564i | 0.972700 | − | 0.232065i | \(-0.0745483\pi\) |
−0.129119 | + | 0.991629i | \(0.541215\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 8.82989 | + | 8.82989i | 0.845750 | + | 0.845750i | 0.989600 | − | 0.143850i | \(-0.0459481\pi\) |
−0.143850 | + | 0.989600i | \(0.545948\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −2.14817 | + | 0.575600i | −0.203895 | + | 0.0546335i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −7.09856 | − | 1.50885i | −0.667776 | − | 0.141940i | −0.138464 | − | 0.990367i | \(-0.544217\pi\) |
−0.529312 | + | 0.848427i | \(0.677550\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 5.58659 | − | 4.52393i | 0.520952 | − | 0.421858i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −4.97605 | + | 5.73785i | −0.460036 | + | 0.530465i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 24.9608 | − | 9.58157i | 2.28816 | − | 0.878341i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −10.0676 | + | 4.43211i | −0.915236 | + | 0.402919i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 1.83529 | − | 2.26640i | 0.165483 | − | 0.204354i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 9.27995 | − | 4.72837i | 0.830024 | − | 0.422918i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −1.03489 | + | 9.84635i | −0.0918319 | + | 0.873722i | 0.847519 | + | 0.530765i | \(0.178095\pi\) |
−0.939351 | + | 0.342957i | \(0.888571\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −2.68460 | − | 8.26236i | −0.236366 | − | 0.727460i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | − | 11.1460i | − | 0.973828i | −0.873450 | − | 0.486914i | \(-0.838122\pi\) | ||
0.873450 | − | 0.486914i | \(-0.161878\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 15.3522 | + | 26.5909i | 1.33121 | + | 2.30572i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −5.27122 | − | 2.68582i | −0.453674 | − | 0.231159i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −11.1483 | − | 4.27942i | −0.952460 | − | 0.365615i | −0.167995 | − | 0.985788i | \(-0.553729\pi\) |
−0.784465 | + | 0.620173i | \(0.787063\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 14.9908 | − | 13.4977i | 1.27150 | − | 1.14486i | 0.289257 | − | 0.957251i | \(-0.406592\pi\) |
0.982243 | − | 0.187613i | \(-0.0600750\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −0.336938 | − | 0.877755i | −0.0283753 | − | 0.0739203i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 6.86795 | − | 9.78934i | 0.574327 | − | 0.818626i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 1.70814 | + | 4.44985i | 0.141853 | + | 0.369540i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 8.65675 | − | 7.79458i | 0.713997 | − | 0.642886i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −8.29289 | − | 3.18334i | −0.679380 | − | 0.260790i | −0.00588656 | − | 0.999983i | \(-0.501874\pi\) |
−0.673494 | + | 0.739193i | \(0.735207\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −10.3256 | − | 5.26116i | −0.840286 | − | 0.428147i | −0.0197935 | − | 0.999804i | \(-0.506301\pi\) |
−0.820493 | + | 0.571657i | \(0.806301\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −6.40608 | − | 11.0957i | −0.517901 | − | 0.897031i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | − | 11.2839i | − | 0.906342i | ||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 5.39348 | + | 16.5994i | 0.430447 | + | 1.32478i | 0.897681 | + | 0.440645i | \(0.145250\pi\) |
−0.467235 | + | 0.884133i | \(0.654750\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −0.0981003 | + | 0.933362i | −0.00777986 | + | 0.0740204i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 22.9726 | − | 11.7051i | 1.81050 | − | 0.922494i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −12.4464 | + | 15.3700i | −0.974878 | + | 1.20387i | 0.00411770 | + | 0.999992i | \(0.498689\pi\) |
−0.978995 | + | 0.203882i | \(0.934644\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 3.58433 | + | 1.38449i | 0.279040 | + | 0.107782i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −15.5579 | + | 5.97210i | −1.20390 | + | 0.462135i | −0.875877 | − | 0.482534i | \(-0.839717\pi\) |
−0.328025 | + | 0.944669i | \(0.606383\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −0.876453 | + | 12.9704i | −0.0674194 | + | 0.997725i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 11.4346 | − | 9.25953i | 0.874423 | − | 0.708094i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 2.96224 | + | 0.629645i | 0.225215 | + | 0.0478710i | 0.319137 | − | 0.947709i | \(-0.396607\pi\) |
−0.0939217 | + | 0.995580i | \(0.529940\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 14.8521 | − | 3.97960i | 1.12271 | − | 0.300830i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 4.53254 | + | 4.53254i | 0.340687 | + | 0.340687i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −10.0706 | − | 9.06758i | −0.752709 | − | 0.677742i | 0.200622 | − | 0.979669i | \(-0.435704\pi\) |
−0.953331 | + | 0.301926i | \(0.902370\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −4.06470 | + | 5.59458i | −0.302127 | + | 0.415842i | −0.932906 | − | 0.360121i | \(-0.882735\pi\) |
0.630779 | + | 0.775962i | \(0.282735\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 4.13955 | + | 1.34502i | 0.306004 | + | 0.0994268i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 2.63425 | + | 1.17284i | 0.193674 | + | 0.0862291i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 11.8231 | + | 16.3447i | 0.864590 | + | 1.19524i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −16.4899 | − | 13.3533i | −1.19946 | − | 0.971307i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 8.42645 | + | 9.35852i | 0.609716 | + | 0.677159i | 0.966393 | − | 0.257069i | \(-0.0827568\pi\) |
−0.356677 | + | 0.934228i | \(0.616090\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 11.9339 | + | 14.7371i | 0.859021 | + | 1.06080i | 0.997516 | + | 0.0704389i | \(0.0224400\pi\) |
−0.138496 | + | 0.990363i | \(0.544227\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −4.11284 | + | 0.730173i | −0.294527 | + | 0.0522888i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −1.91151 | + | 7.13386i | −0.136190 | + | 0.508267i | 0.863801 | + | 0.503834i | \(0.168078\pi\) |
−0.999990 | + | 0.00443277i | \(0.998589\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 1.69704 | + | 0.979788i | 0.120300 | + | 0.0694553i | 0.558943 | − | 0.829206i | \(-0.311207\pi\) |
−0.438642 | + | 0.898662i | \(0.644541\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −8.18981 | + | 5.31852i | −0.577664 | + | 0.375140i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 2.67431 | + | 16.8849i | 0.187700 | + | 1.18509i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −3.69862 | + | 0.786166i | −0.258323 | + | 0.0549082i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −7.26212 | − | 9.99545i | −0.504752 | − | 0.694732i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −16.4152 | + | 16.3468i | −1.13547 | + | 1.13073i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −5.07235 | + | 11.3927i | −0.349195 | + | 0.784305i | 0.650497 | + | 0.759509i | \(0.274561\pi\) |
−0.999693 | + | 0.0247968i | \(0.992106\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −3.90288 | − | 7.65983i | −0.267421 | − | 0.524843i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −4.03672 | + | 10.5160i | −0.275302 | + | 0.717186i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 8.41439 | − | 39.5866i | 0.571206 | − | 2.68731i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −2.60866 | − | 0.698988i | −0.176277 | − | 0.0472333i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −20.1967 | − | 8.54507i | −1.35857 | − | 0.574804i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −0.353839 | − | 6.75165i | −0.0236948 | − | 0.452124i | −0.984553 | − | 0.175085i | \(-0.943980\pi\) |
0.960859 | − | 0.277039i | \(-0.0893532\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −2.99690 | − | 6.73114i | −0.199793 | − | 0.448743i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 0.189948 | − | 3.62442i | 0.0126073 | − | 0.240561i | −0.985056 | − | 0.172236i | \(-0.944901\pi\) |
0.997663 | − | 0.0683257i | \(-0.0217657\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 8.70981 | + | 1.37950i | 0.575560 | + | 0.0911598i | 0.437427 | − | 0.899254i | \(-0.355890\pi\) |
0.138133 | + | 0.990414i | \(0.455890\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 11.5423 | + | 7.52996i | 0.759427 | + | 0.495435i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −3.60386 | + | 2.61836i | −0.236097 | + | 0.171534i | −0.699543 | − | 0.714591i | \(-0.746613\pi\) |
0.463446 | + | 0.886125i | \(0.346613\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −0.376709 | + | 1.15939i | −0.0245738 | + | 0.0756303i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 4.57472 | + | 0.480823i | 0.297160 | + | 0.0312328i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 7.68037 | − | 15.0736i | 0.496802 | − | 0.975028i | −0.497402 | − | 0.867520i | \(-0.665713\pi\) |
0.994204 | − | 0.107508i | \(-0.0342873\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −0.417842 | − | 1.55941i | −0.0269156 | − | 0.100450i | 0.951161 | − | 0.308694i | \(-0.0998919\pi\) |
−0.978077 | + | 0.208244i | \(0.933225\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −8.07071 | + | 13.9789i | −0.517736 | + | 0.896745i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −15.0830 | + | 0.790467i | −0.963618 | + | 0.0505011i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 6.06404 | − | 24.4435i | 0.385846 | − | 1.55530i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −9.40786 | − | 6.10954i | −0.596199 | − | 0.387176i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 1.03459 | − | 0.108740i | 0.0653027 | − | 0.00686359i | −0.0718208 | − | 0.997418i | \(-0.522881\pi\) |
0.137123 | + | 0.990554i | \(0.456214\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 12.9863 | + | 14.4835i | 0.816444 | + | 0.910569i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 1.10232 | − | 6.95978i | 0.0690300 | − | 0.435838i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −0.374600 | − | 1.76235i | −0.0233669 | − | 0.109933i | 0.964919 | − | 0.262549i | \(-0.0845633\pi\) |
−0.988285 | + | 0.152617i | \(0.951230\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 8.36699 | + | 6.07898i | 0.519900 | + | 0.377729i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 7.79114 | − | 2.53150i | 0.482260 | − | 0.156696i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −25.9920 | + | 15.0065i | −1.60273 | + | 0.925339i | −0.611797 | + | 0.791015i | \(0.709553\pi\) |
−0.990937 | + | 0.134324i | \(0.957114\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0.860444 | − | 0.860444i | 0.0528567 | − | 0.0528567i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −5.70500 | − | 8.78493i | −0.349140 | − | 0.537629i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 13.1247 | − | 5.84347i | 0.800224 | − | 0.356283i | 0.0344616 | − | 0.999406i | \(-0.489028\pi\) |
0.765763 | + | 0.643123i | \(0.222362\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −5.04326 | + | 7.76594i | −0.306356 | + | 0.471747i | −0.957996 | − | 0.286781i | \(-0.907415\pi\) |
0.651640 | + | 0.758529i | \(0.274081\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −14.9734 | − | 0.505322i | −0.906228 | − | 0.0305835i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 5.77956 | + | 10.0589i | 0.348520 | + | 0.606576i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −0.578109 | − | 5.50034i | −0.0347352 | − | 0.330483i | −0.998066 | − | 0.0621661i | \(-0.980199\pi\) |
0.963331 | − | 0.268317i | \(-0.0864675\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −19.3670 | − | 1.01498i | −1.15947 | − | 0.0607655i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −11.6230 | + | 1.84091i | −0.693372 | + | 0.109819i | −0.493167 | − | 0.869935i | \(-0.664161\pi\) |
−0.200205 | + | 0.979754i | \(0.564161\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −11.5471 | + | 12.8243i | −0.686403 | + | 0.762327i | −0.981150 | − | 0.193248i | \(-0.938098\pi\) |
0.294747 | + | 0.955575i | \(0.404765\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 8.09226 | 0.479344 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −13.5619 | −0.800534 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 13.3787 | − | 14.8585i | 0.786982 | − | 0.874032i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 3.71361 | − | 0.588179i | 0.217696 | − | 0.0344796i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −22.6391 | − | 1.18646i | −1.32259 | − | 0.0693139i | −0.622078 | − | 0.782955i | \(-0.713711\pi\) |
−0.700511 | + | 0.713641i | \(0.747045\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −0.868747 | − | 8.26558i | −0.0505804 | − | 0.481240i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 6.54207 | − | 14.6116i | 0.379609 | − | 0.847848i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −20.2307 | − | 6.15926i | −1.16997 | − | 0.356199i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −22.0036 | + | 33.8826i | −1.26827 | + | 1.95296i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −13.7725 | + | 6.13190i | −0.791208 | + | 0.352269i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −3.07367 | − | 4.73304i | −0.175998 | − | 0.271013i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −11.1256 | + | 11.1256i | −0.634972 | + | 0.634972i | −0.949311 | − | 0.314339i | \(-0.898217\pi\) |
0.314339 | + | 0.949311i | \(0.398217\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 4.82990 | − | 2.78854i | 0.274763 | − | 0.158635i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −32.3683 | + | 10.5171i | −1.83544 | + | 0.596370i | −0.836619 | + | 0.547785i | \(0.815471\pi\) |
−0.998819 | + | 0.0485846i | \(0.984529\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −1.35349 | − | 0.983371i | −0.0765040 | − | 0.0555834i | 0.548876 | − | 0.835904i | \(-0.315056\pi\) |
−0.625380 | + | 0.780320i | \(0.715056\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 2.35956 | + | 11.1009i | 0.132946 | + | 0.625463i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −3.05202 | + | 19.2697i | −0.171418 | + | 1.08229i | 0.740541 | + | 0.672012i | \(0.234570\pi\) |
−0.911959 | + | 0.410281i | \(0.865430\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −11.7942 | + | 5.22163i | −0.660347 | + | 0.292355i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 11.0386 | − | 1.16020i | 0.616113 | − | 0.0647561i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 35.6302 | + | 23.1385i | 1.98252 | + | 1.28746i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −11.0376 | − | 6.10135i | −0.612256 | − | 0.338442i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 11.7877 | − | 0.617766i | 0.651860 | − | 0.0341625i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −2.18614 | + | 3.78651i | −0.120526 | + | 0.208757i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −1.83759 | − | 6.85797i | −0.101003 | − | 0.376948i | 0.896858 | − | 0.442318i | \(-0.145844\pi\) |
−0.997861 | + | 0.0653702i | \(0.979177\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 2.24995 | − | 4.41578i | 0.123297 | − | 0.241984i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 12.5921 | + | 1.32348i | 0.687980 | + | 0.0723096i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −5.40245 | + | 16.6270i | −0.294290 | + | 0.905732i | 0.689169 | + | 0.724601i | \(0.257976\pi\) |
−0.983459 | + | 0.181131i | \(0.942024\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −5.54980 | + | 4.03216i | −0.301424 | + | 0.218997i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 30.4965 | − | 1.53442i | 1.65148 | − | 0.0830934i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −23.1124 | − | 3.66064i | −1.24795 | − | 0.197656i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0.355629 | − | 6.78581i | 0.0191464 | − | 0.365336i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −9.78818 | − | 21.9846i | −0.525457 | − | 1.18020i | −0.960116 | − | 0.279601i | \(-0.909798\pi\) |
0.434659 | − | 0.900595i | \(-0.356869\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −0.785312 | − | 14.9846i | −0.0420368 | − | 0.802110i | −0.935576 | − | 0.353125i | \(-0.885119\pi\) |
0.893539 | − | 0.448985i | \(-0.148214\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 2.14123 | + | 17.2717i | 0.114291 | + | 0.921893i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 26.9806 | + | 7.22944i | 1.43603 | + | 0.384784i | 0.891143 | − | 0.453722i | \(-0.149904\pi\) |
0.544892 | + | 0.838506i | \(0.316571\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −2.31749 | + | 10.9030i | −0.123000 | + | 0.578669i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 9.05712 | − | 23.5946i | 0.479354 | − | 1.24876i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −12.9041 | − | 25.3257i | −0.681052 | − | 1.33664i | −0.929798 | − | 0.368071i | \(-0.880018\pi\) |
0.248746 | − | 0.968569i | \(-0.419982\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −12.1163 | + | 27.2136i | −0.637698 | + | 1.43229i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −3.25439 | + | 9.87550i | −0.170811 | + | 0.518329i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 2.05823 | + | 2.83291i | 0.107733 | + | 0.148281i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −13.9863 | + | 2.97288i | −0.730079 | + | 0.155183i | −0.557930 | − | 0.829888i | \(-0.688404\pi\) |
−0.172149 | + | 0.985071i | \(0.555071\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 1.01664 | + | 6.41883i | 0.0529243 | + | 0.334151i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 3.66028 | − | 2.37702i | 0.190032 | − | 0.123408i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −10.1995 | − | 5.88867i | −0.528109 | − | 0.304904i | 0.212137 | − | 0.977240i | \(-0.431958\pi\) |
−0.740246 | + | 0.672336i | \(0.765291\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 2.54809 | − | 9.50960i | 0.131583 | − | 0.491074i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 8.02923 | − | 11.4956i | 0.413527 | − | 0.592052i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 4.36585 | + | 5.39138i | 0.224259 | + | 0.276936i | 0.876840 | − | 0.480782i | \(-0.159647\pi\) |
−0.652581 | + | 0.757719i | \(0.726314\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 6.26217 | + | 6.95485i | 0.320821 | + | 0.356308i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −0.236831 | − | 0.191782i | −0.0121015 | − | 0.00979958i | 0.623251 | − | 0.782022i | \(-0.285812\pi\) |
−0.635352 | + | 0.772223i | \(0.719145\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −5.48624 | − | 17.0056i | −0.279605 | − | 0.866687i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 17.6860 | + | 7.87433i | 0.899032 | + | 0.400275i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 14.6265 | + | 4.75245i | 0.741594 | + | 0.240959i | 0.655360 | − | 0.755316i | \(-0.272517\pi\) |
0.0862338 | + | 0.996275i | \(0.472517\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 20.9688 | − | 28.8611i | 1.06044 | − | 1.45957i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −7.82970 | − | 7.04989i | −0.394956 | − | 0.355620i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −4.21733 | − | 4.21733i | −0.212197 | − | 0.212197i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −7.57391 | + | 2.02942i | −0.380124 | + | 0.101854i | −0.443821 | − | 0.896115i | \(-0.646377\pi\) |
0.0636974 | + | 0.997969i | \(0.479711\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 28.3896 | + | 6.03440i | 1.42126 | + | 0.302098i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 14.2862 | − | 11.5688i | 0.713420 | − | 0.577716i | −0.202401 | − | 0.979303i | \(-0.564874\pi\) |
0.915821 | + | 0.401586i | \(0.131541\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −27.4982 | + | 18.5947i | −1.36978 | + | 0.926268i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 2.00999 | − | 0.771563i | 0.0998773 | − | 0.0383393i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −2.81158 | + | 7.27897i | −0.139365 | + | 0.360805i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 16.7325 | − | 20.6629i | 0.827368 | − | 1.02171i | −0.171961 | − | 0.985104i | \(-0.555010\pi\) |
0.999330 | − | 0.0366111i | \(-0.0116563\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −10.0575 | + | 5.12455i | −0.496100 | + | 0.252775i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 3.11587 | − | 29.6455i | 0.153322 | − | 1.45876i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 4.49452 | + | 13.8327i | 0.220628 | + | 0.679022i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | − | 19.0679i | − | 0.933761i | ||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 6.91530 | + | 11.9777i | 0.337835 | + | 0.585147i | 0.984025 | − | 0.178029i | \(-0.0569722\pi\) |
−0.646191 | + | 0.763176i | \(0.723639\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −10.2153 | − | 5.20494i | −0.497862 | − | 0.253673i | 0.186982 | − | 0.982363i | \(-0.440129\pi\) |
−0.684843 | + | 0.728690i | \(0.740129\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 1.95603 | + | 0.750850i | 0.0951055 | + | 0.0365076i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 15.8104 | − | 14.2357i | 0.766916 | − | 0.690534i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −7.25376 | − | 18.8967i | −0.351034 | − | 0.914475i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −2.53269 | − | 11.0163i | −0.122279 | − | 0.531874i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 5.39755 | + | 14.0611i | 0.259991 | + | 0.677300i | 0.999989 | + | 0.00469065i | \(0.00149309\pi\) |
−0.739998 | + | 0.672609i | \(0.765174\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 19.5136 | − | 17.5701i | 0.937763 | − | 0.844366i | −0.0502497 | − | 0.998737i | \(-0.516002\pi\) |
0.988013 | + | 0.154371i | \(0.0493350\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 4.20629 | + | 1.61464i | 0.201676 | + | 0.0774162i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 36.5031 | + | 18.5993i | 1.74618 | + | 0.889724i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −5.67428 | − | 9.82815i | −0.270819 | − | 0.469072i | 0.698253 | − | 0.715851i | \(-0.253961\pi\) |
−0.969072 | + | 0.246779i | \(0.920628\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 25.9588i | 1.23613i | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 6.51493 | + | 20.0509i | 0.309534 | + | 0.952647i | 0.977946 | + | 0.208856i | \(0.0669741\pi\) |
−0.668413 | + | 0.743791i | \(0.733026\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −1.41966 | + | 13.5071i | −0.0672982 | + | 0.640300i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −7.48150 | + | 3.81201i | −0.353863 | + | 0.180302i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −15.2048 | + | 18.7764i | −0.717559 | + | 0.886112i | −0.997260 | − | 0.0739755i | \(-0.976431\pi\) |
0.279701 | + | 0.960087i | \(0.409765\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −2.62769 | − | 9.88921i | −0.123733 | − | 0.465665i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −10.2268 | + | 3.92570i | −0.480497 | + | 0.184446i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 14.6754 | + | 12.7270i | 0.687993 | + | 0.596650i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −25.3009 | + | 20.4883i | −1.18353 | + | 0.958402i | −0.999698 | − | 0.0245563i | \(-0.992183\pi\) |
−0.183829 | + | 0.982958i | \(0.558849\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −28.7174 | − | 6.10408i | −1.34041 | − | 0.284914i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −28.7722 | + | 7.70948i | −1.34005 | + | 0.359066i | −0.856454 | − | 0.516223i | \(-0.827338\pi\) |
−0.483599 | + | 0.875289i | \(0.660671\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 10.6601 | + | 10.6601i | 0.495416 | + | 0.495416i | 0.910007 | − | 0.414592i | \(-0.136076\pi\) |
−0.414592 | + | 0.910007i | \(0.636076\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −7.92656 | − | 7.13711i | −0.367586 | − | 0.330975i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 23.9427 | − | 32.9543i | 1.10793 | − | 1.52494i | 0.283511 | − | 0.958969i | \(-0.408501\pi\) |
0.824424 | − | 0.565972i | \(-0.191499\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 43.1893 | + | 14.0330i | 1.99430 | + | 0.647986i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 15.0720 | + | 6.71048i | 0.694480 | + | 0.309203i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −28.9702 | − | 9.47989i | −1.33205 | − | 0.435886i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 18.9874 | + | 15.3757i | 0.871202 | + | 0.705486i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −1.39942 | − | 1.55422i | −0.0640752 | − | 0.0711627i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 11.9360 | + | 14.7397i | 0.545369 | + | 0.673475i | 0.973087 | − | 0.230437i | \(-0.0740157\pi\) |
−0.427718 | + | 0.903912i | \(0.640682\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −1.48282 | − | 8.35226i | −0.0676107 | − | 0.380830i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 6.30782 | − | 23.5411i | 0.287016 | − | 1.07116i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −4.22191 | − | 2.43752i | −0.191707 | − | 0.110682i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −1.50622 | + | 0.978151i | −0.0682533 | + | 0.0443242i | −0.578315 | − | 0.815814i | \(-0.696289\pi\) |
0.510061 | + | 0.860138i | \(0.329623\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 2.92454 | + | 18.4648i | 0.132252 | + | 0.835009i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −5.92021 | + | 1.25838i | −0.267175 | + | 0.0567899i | −0.339551 | − | 0.940588i | \(-0.610275\pi\) |
0.0723758 | + | 0.997377i | \(0.476942\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 13.9035 | + | 19.1365i | 0.626181 | + | 0.861865i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −7.63747 | + | 3.87142i | −0.343279 | + | 0.174008i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −16.2607 | + | 36.5221i | −0.729391 | + | 1.63824i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 3.86300 | + | 7.58156i | 0.172931 | + | 0.339397i | 0.961163 | − | 0.275982i | \(-0.0890030\pi\) |
−0.788231 | + | 0.615379i | \(0.789003\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −5.64522 | + | 14.7063i | −0.252210 | + | 0.657029i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 2.09642 | − | 9.86290i | 0.0934749 | − | 0.439765i | −0.906376 | − | 0.422473i | \(-0.861162\pi\) |
0.999850 | − | 0.0172921i | \(-0.00550452\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 18.8811 | + | 5.05918i | 0.840198 | + | 0.225130i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 8.55695 | + | 8.81955i | 0.380028 | + | 0.391690i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −1.38313 | − | 26.3918i | −0.0613064 | − | 1.16980i | −0.840070 | − | 0.542478i | \(-0.817486\pi\) |
0.778764 | − | 0.627317i | \(-0.215847\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 5.10828 | + | 11.4734i | 0.225977 | + | 0.507553i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 1.76456 | − | 33.6698i | 0.0779071 | − | 1.48656i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −7.14215 | − | 1.13121i | −0.314721 | − | 0.0498469i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −3.18467 | − | 0.860459i | −0.140061 | − | 0.0378429i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 2.31594 | − | 1.68263i | 0.101659 | − | 0.0738593i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 13.9500 | − | 42.9337i | 0.611161 | − | 1.88096i | 0.164143 | − | 0.986436i | \(-0.447514\pi\) |
0.447018 | − | 0.894525i | \(-0.352486\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −6.48597 | − | 0.681703i | −0.283612 | − | 0.0298088i | −0.0383454 | − | 0.999265i | \(-0.512209\pi\) |
−0.245266 | + | 0.969456i | \(0.578875\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 6.59847 | − | 12.9502i | 0.287981 | − | 0.565195i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −14.4932 | − | 54.0895i | −0.631335 | − | 2.35617i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 5.70074 | − | 9.87397i | 0.247858 | − | 0.429303i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −14.2647 | + | 0.747584i | −0.619037 | + | 0.0324424i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 8.01080 | + | 7.71783i | 0.346986 | + | 0.334296i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −12.0696 | − | 7.83808i | −0.521813 | − | 0.338870i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −12.7394 | + | 1.33896i | −0.549745 | + | 0.0577805i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −4.18740 | − | 40.6568i | −0.180364 | − | 1.75121i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 3.37491 | − | 21.3083i | 0.145099 | − | 0.916116i | −0.802500 | − | 0.596652i | \(-0.796497\pi\) |
0.947598 | − | 0.319464i | \(-0.103503\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 1.35907 | + | 6.39392i | 0.0583233 | + | 0.274389i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −12.3818 | − | 8.99589i | −0.530377 | − | 0.385342i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 36.3481 | − | 11.8102i | 1.55413 | − | 0.504968i | 0.598900 | − | 0.800824i | \(-0.295605\pi\) |
0.955233 | + | 0.295856i | \(0.0956048\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −8.40002 | + | 4.84975i | −0.358504 | + | 0.206982i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −19.2081 | + | 19.2081i | −0.818293 | + | 0.818293i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −11.6506 | − | 17.9403i | −0.495432 | − | 0.762899i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 2.49006 | − | 1.10865i | 0.105697 | − | 0.0470594i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −11.4578 | + | 17.6435i | −0.485484 | + | 0.747580i | −0.993508 | − | 0.113763i | \(-0.963710\pi\) |
0.508024 | + | 0.861343i | \(0.330376\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 32.2791 | − | 7.49206i | 1.36526 | − | 0.316880i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 18.9598 | + | 2.03279i | 0.800485 | + | 0.0858243i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −0.118839 | − | 1.13067i | −0.00500845 | − | 0.0476522i | 0.991732 | − | 0.128325i | \(-0.0409599\pi\) |
−0.996741 | + | 0.0806723i | \(0.974293\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 8.88230 | + | 0.465502i | 0.373681 | + | 0.0195838i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 7.62690 | − | 1.20798i | 0.320300 | − | 0.0507305i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 2.95338 | − | 3.28006i | 0.123812 | − | 0.137507i | −0.678052 | − | 0.735014i | \(-0.737175\pi\) |
0.801864 | + | 0.597507i | \(0.203842\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −7.23164 | −0.302635 | −0.151317 | − | 0.988485i | \(-0.548352\pi\) | ||||
−0.151317 | + | 0.988485i | \(0.548352\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 11.9038 | 0.497290 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 13.7278 | − | 15.2463i | 0.572490 | − | 0.635814i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 9.78480 | − | 1.54976i | 0.407346 | − | 0.0645173i | 0.0506010 | − | 0.998719i | \(-0.483886\pi\) |
0.356746 | + | 0.934202i | \(0.383886\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 17.9006 | + | 0.938132i | 0.743925 | + | 0.0389874i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 5.45282 | + | 51.8802i | 0.226221 | + | 2.15235i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 2.44250 | + | 2.20848i | 0.101158 | + | 0.0914661i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 4.92354 | − | 7.89989i | 0.203563 | − | 0.326620i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 4.46226 | − | 6.87128i | 0.184177 | − | 0.283608i | −0.734507 | − | 0.678601i | \(-0.762586\pi\) |
0.918684 | + | 0.394993i | \(0.129253\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 58.7481 | − | 26.1563i | 2.42067 | − | 1.07775i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 3.80227 | + | 5.85499i | 0.156405 | + | 0.240842i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −7.11569 | + | 7.11569i | −0.292207 | + | 0.292207i | −0.837951 | − | 0.545745i | \(-0.816247\pi\) |
0.545745 | + | 0.837951i | \(0.316247\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −28.3788 | + | 16.3845i | −1.16342 | + | 0.671698i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 1.76166 | − | 0.572398i | 0.0720999 | − | 0.0234267i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 29.7603 | + | 21.6221i | 1.21597 | + | 0.883457i | 0.995760 | − | 0.0919944i | \(-0.0293242\pi\) |
0.220215 | + | 0.975451i | \(0.429324\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −5.01548 | − | 23.5960i | −0.204586 | − | 0.962500i | −0.953863 | − | 0.300243i | \(-0.902932\pi\) |
0.749277 | − | 0.662257i | \(-0.230401\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 3.40422 | − | 21.4934i | 0.138630 | − | 0.875278i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 11.3374 | − | 7.29544i | 0.460929 | − | 0.296602i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −9.25729 | + | 0.972980i | −0.375742 | + | 0.0394920i | −0.290517 | − | 0.956870i | \(-0.593827\pi\) |
−0.0852244 | + | 0.996362i | \(0.527161\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 13.5527 | + | 8.80120i | 0.549181 | + | 0.356643i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 3.44616 | − | 0.992539i | 0.139417 | − | 0.0401538i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −9.11312 | + | 0.477599i | −0.368076 | + | 0.0192900i | −0.235477 | − | 0.971880i | \(-0.575665\pi\) |
−0.132598 | + | 0.991170i | \(0.542332\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −1.78714 | + | 3.09542i | −0.0720644 | + | 0.124819i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −3.96159 | − | 14.7848i | −0.159488 | − | 0.595216i | −0.998679 | − | 0.0513798i | \(-0.983638\pi\) |
0.839192 | − | 0.543836i | \(-0.183029\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −20.6799 | + | 40.5866i | −0.831195 | + | 1.63131i | −0.0569916 | + | 0.998375i | \(0.518151\pi\) |
−0.774203 | + | 0.632937i | \(0.781849\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −28.1564 | − | 2.95936i | −1.12988 | − | 0.118755i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −15.0528 | + | 46.3277i | −0.603077 | + | 1.85608i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 3.82205 | − | 2.77688i | 0.152882 | − | 0.111075i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 1.10041 | + | 21.8706i | 0.0439462 | + | 0.873430i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 14.1337 | + | 2.23856i | 0.563549 | + | 0.0892574i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −0.0427476 | + | 0.815672i | −0.00170175 | + | 0.0324714i | −0.999348 | − | 0.0360933i | \(-0.988509\pi\) |
0.997647 | + | 0.0685647i | \(0.0218420\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 4.79472 | + | 10.7691i | 0.190573 | + | 0.428034i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −0.635062 | − | 12.1177i | −0.0252017 | − | 0.480877i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 26.7816 | + | 35.4539i | 1.06113 | + | 1.40474i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 18.5048 | + | 4.95835i | 0.732039 | + | 0.196149i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 9.57705 | − | 45.0565i | 0.378271 | − | 1.77962i | −0.217075 | − | 0.976155i | \(-0.569652\pi\) |
0.595346 | − | 0.803469i | \(-0.297015\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −3.87994 | + | 10.1076i | −0.153010 | + | 0.398605i | −0.988564 | − | 0.150804i | \(-0.951814\pi\) |
0.835554 | + | 0.549409i | \(0.185147\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 4.83392 | + | 9.48711i | 0.190336 | + | 0.373555i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 8.90544 | − | 20.0019i | 0.350109 | − | 0.786357i | −0.649552 | − | 0.760317i | \(-0.725044\pi\) |
0.999661 | − | 0.0260402i | \(-0.00828978\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 22.2209 | − | 3.47191i | 0.872248 | − | 0.136284i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −22.4862 | − | 30.9496i | −0.881303 | − | 1.21301i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 5.64962 | − | 1.20086i | 0.221087 | − | 0.0469934i | −0.0960364 | − | 0.995378i | \(-0.530617\pi\) |
0.317123 | + | 0.948384i | \(0.397283\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 2.13701 | + | 13.4925i | 0.0834998 | + | 0.527197i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 5.04740 | − | 3.27782i | 0.196918 | − | 0.127880i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −32.3789 | − | 18.6940i | −1.26130 | − | 0.728213i | −0.287976 | − | 0.957638i | \(-0.592982\pi\) |
−0.973326 | + | 0.229425i | \(0.926316\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 7.70609 | − | 28.7595i | 0.299732 | − | 1.11862i | −0.637654 | − | 0.770323i | \(-0.720095\pi\) |
0.937386 | − | 0.348293i | \(-0.113238\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −18.7772 | + | 8.78272i | −0.729244 | + | 0.341093i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −23.6826 | − | 29.2455i | −0.918371 | − | 1.13409i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 15.2629 | + | 16.9512i | 0.590983 | + | 0.656353i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −4.96663 | − | 4.02190i | −0.192021 | − | 0.155495i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 12.3738 | − | 8.95071i | 0.477687 | − | 0.345538i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 4.07766 | + | 1.81549i | 0.157182 | + | 0.0699821i | 0.483820 | − | 0.875168i | \(-0.339249\pi\) |
−0.326638 | + | 0.945150i | \(0.605916\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −16.0577 | − | 5.21746i | −0.618061 | − | 0.200820i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −5.98185 | + | 8.23331i | −0.229901 | + | 0.316432i | −0.908346 | − | 0.418219i | \(-0.862654\pi\) |
0.678445 | + | 0.734651i | \(0.262654\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −12.9938 | − | 11.6997i | −0.498658 | − | 0.448994i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −2.42590 | − | 2.42590i | −0.0929606 | − | 0.0929606i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −17.2603 | + | 4.62487i | −0.660445 | + | 0.176966i | −0.573447 | − | 0.819243i | \(-0.694394\pi\) |
−0.0869982 | + | 0.996208i | \(0.527727\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 14.3158 | + | 3.04291i | 0.546978 | + | 0.116264i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 6.47806 | − | 5.24583i | 0.247153 | − | 0.200141i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −3.51479 | − | 0.678934i | −0.133903 | − | 0.0258653i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −21.8466 | + | 8.38614i | −0.831086 | + | 0.319024i | −0.736453 | − | 0.676488i | \(-0.763501\pi\) |
−0.0946323 | + | 0.995512i | \(0.530168\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −29.6810 | + | 7.88663i | −1.12749 | + | 0.299588i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −15.5589 | + | 19.2136i | −0.590181 | + | 0.728813i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −16.7196 | + | 8.51908i | −0.633302 | + | 0.322683i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −0.440148 | + | 4.18773i | −0.0166479 | + | 0.158394i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 7.15402 | + | 22.0178i | 0.270204 | + | 0.831601i | 0.990449 | + | 0.137881i | \(0.0440293\pi\) |
−0.720245 | + | 0.693720i | \(0.755971\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 16.4336i | 0.619803i | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 0.576165 | + | 0.997947i | 0.0216996 | + | 0.0375848i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 62.4669 | + | 31.8285i | 2.34931 | + | 1.19703i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −29.8497 | − | 11.4582i | −1.12103 | − | 0.430323i | −0.273926 | − | 0.961751i | \(-0.588322\pi\) |
−0.847103 | + | 0.531428i | \(0.821656\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −7.61775 | + | 6.85905i | −0.285688 | + | 0.257235i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −19.3517 | − | 50.4130i | −0.724729 | − | 1.88798i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −6.43695 | + | 13.1671i | −0.240728 | + | 0.492421i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −5.73084 | − | 14.9293i | −0.214022 | − | 0.557546i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −8.97418 | + | 8.08039i | −0.334680 | + | 0.301348i | −0.819286 | − | 0.573385i | \(-0.805630\pi\) |
0.484605 | + | 0.874733i | \(0.338963\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −24.2129 | − | 9.29446i | −0.901735 | − | 0.346144i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −1.35972 | − | 0.692813i | −0.0505686 | − | 0.0257660i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 6.80160 | + | 11.7807i | 0.252605 | + | 0.437525i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | − | 15.1434i | − | 0.561636i | −0.959761 | − | 0.280818i | \(-0.909394\pi\) | ||
0.959761 | − | 0.280818i | \(-0.0906058\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 3.08644 | + | 9.49910i | 0.114313 | + | 0.351818i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −5.84312 | + | 55.5936i | −0.216116 | + | 2.05620i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 41.0537 | − | 20.9179i | 1.51635 | − | 0.772620i | 0.519697 | − | 0.854350i | \(-0.326045\pi\) |
0.996654 | + | 0.0817305i | \(0.0260447\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −8.98481 | + | 11.0953i | −0.331410 | + | 0.409257i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −1.86461 | + | 34.2122i | −0.0686840 | + | 1.26022i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 20.4501 | − | 7.85005i | 0.752268 | − | 0.288769i | 0.0481389 | − | 0.998841i | \(-0.484671\pi\) |
0.704129 | + | 0.710072i | \(0.251338\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −13.3352 | − | 19.7204i | −0.489882 | − | 0.724449i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −35.5534 | + | 28.7906i | −1.30433 | + | 1.05622i | −0.309905 | + | 0.950768i | \(0.600297\pi\) |
−0.994424 | + | 0.105457i | \(0.966370\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 10.6491 | + | 2.26354i | 0.390154 | + | 0.0829298i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 24.1460 | − | 6.46991i | 0.883457 | − | 0.236722i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −36.4982 | − | 36.4982i | −1.33361 | − | 1.33361i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 0.363504 | + | 0.327301i | 0.0132645 | + | 0.0119434i | 0.675736 | − | 0.737144i | \(-0.263826\pi\) |
−0.662472 | + | 0.749087i | \(0.730493\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 0.577998 | − | 0.795545i | 0.0210634 | − | 0.0289913i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 13.5082 | + | 4.38907i | 0.491613 | + | 0.159735i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −22.0691 | − | 9.82580i | −0.802115 | − | 0.357125i | −0.0356123 | − | 0.999366i | \(-0.511338\pi\) |
−0.766503 | + | 0.642241i | \(0.778005\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 18.3881 | + | 0.0383892i | 0.667447 | + | 0.00139344i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 27.3176 | + | 22.1214i | 0.990262 | + | 0.801899i | 0.980192 | − | 0.198051i | \(-0.0634611\pi\) |
0.0100706 | + | 0.999949i | \(0.496794\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −36.7301 | − | 40.7929i | −1.32972 | − | 1.47680i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 9.88211 | + | 12.2034i | 0.357289 | + | 0.441215i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −18.7112 | + | 15.7379i | −0.675622 | + | 0.568264i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −11.1083 | + | 41.4567i | −0.400575 | + | 1.49497i | 0.411498 | + | 0.911411i | \(0.365006\pi\) |
−0.812073 | + | 0.583556i | \(0.801661\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −1.47494 | − | 0.851554i | −0.0531185 | − | 0.0306680i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 0.776215 | − | 0.504080i | 0.0279185 | − | 0.0181305i | −0.530604 | − | 0.847620i | \(-0.678035\pi\) |
0.558523 | + | 0.829489i | \(0.311368\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −5.03776 | − | 31.8072i | −0.180962 | − | 1.14255i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 9.56246 | − | 2.03256i | 0.343051 | − | 0.0729178i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −12.6666 | − | 17.4340i | −0.453827 | − | 0.624640i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −29.7822 | − | 4.78079i | −1.06569 | − | 0.171070i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 7.63531 | − | 17.1492i | 0.272864 | − | 0.612862i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −9.71156 | − | 19.0600i | −0.346620 | − | 0.680281i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −5.95255 | + | 15.5069i | −0.212185 | + | 0.552762i | −0.997825 | − | 0.0659229i | \(-0.979001\pi\) |
0.785639 | + | 0.618685i | \(0.212334\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −5.89850 | + | 27.7502i | −0.209992 | + | 0.987935i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 30.8142 | + | 8.25663i | 1.09563 | + | 0.293572i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −6.46908 | + | 15.2900i | −0.229724 | + | 0.542963i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −0.0601993 | − | 1.14867i | −0.00213505 | − | 0.0407391i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −6.17213 | − | 13.8628i | −0.218628 | − | 0.491047i | 0.770620 | − | 0.637295i | \(-0.219947\pi\) |
−0.989248 | + | 0.146248i | \(0.953280\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −0.316617 | + | 6.04141i | −0.0112011 | + | 0.213730i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 23.0552 | + | 3.65159i | 0.814617 | + | 0.129023i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −7.37653 | + | 5.94794i | −0.260312 | + | 0.209898i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −25.5648 | + | 18.5739i | −0.901041 | + | 0.654645i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 4.19656 | − | 12.9157i | 0.147726 | − | 0.454654i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 9.95636 | + | 1.04646i | 0.350047 | + | 0.0367914i | 0.277921 | − | 0.960604i | \(-0.410355\pi\) |
0.0721265 | + | 0.997395i | \(0.477021\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −4.14642 | + | 8.13781i | −0.145600 | + | 0.285757i | −0.952276 | − | 0.305237i | \(-0.901264\pi\) |
0.806676 | + | 0.590994i | \(0.201264\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 2.26544 | + | 8.45473i | 0.0794524 | + | 0.296520i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 12.1199 | − | 20.9922i | 0.424540 | − | 0.735325i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −64.1076 | + | 3.35974i | −2.24284 | + | 0.117542i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 23.1640 | − | 24.0433i | 0.809414 | − | 0.840140i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 26.0221 | + | 16.8990i | 0.908179 | + | 0.589779i | 0.911989 | − | 0.410214i | \(-0.134546\pi\) |
−0.00380991 | + | 0.999993i | \(0.501213\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 36.6778 | − | 3.85499i | 1.27851 | − | 0.134377i | 0.559179 | − | 0.829047i | \(-0.311116\pi\) |
0.719328 | + | 0.694670i | \(0.244450\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 10.7217 | + | 2.30237i | 0.373281 | + | 0.0801582i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −0.0251829 | + | 0.158998i | −0.000875694 | + | 0.00552892i | −0.988122 | − | 0.153669i | \(-0.950891\pi\) |
0.987247 | + | 0.159198i | \(0.0508909\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 0.700673 | + | 3.29641i | 0.0243354 | + | 0.114489i | 0.988639 | − | 0.150311i | \(-0.0480274\pi\) |
−0.964303 | + | 0.264800i | \(0.914694\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −4.22947 | − | 3.07289i | −0.146719 | − | 0.106597i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −71.2854 | + | 23.1620i | −2.46989 | + | 0.802517i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 17.6882 | − | 10.2123i | 0.612126 | − | 0.353411i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −31.4241 | + | 31.4241i | −1.08617 | + | 1.08617i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 11.6894 | + | 18.0001i | 0.403563 | + | 0.621433i | 0.980770 | − | 0.195165i | \(-0.0625242\pi\) |
−0.577207 | + | 0.816598i | \(0.695858\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 12.6760 | − | 5.64373i | 0.437104 | − | 0.194611i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −6.05845 | + | 9.32920i | −0.208664 | + | 0.321315i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −1.42583 | − | 15.8691i | −0.0490502 | − | 0.545914i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 45.2144 | − | 17.1399i | 1.55359 | − | 0.588935i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 1.70510 | + | 16.2229i | 0.0585188 | + | 0.556769i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 13.7805 | + | 0.722203i | 0.472388 | + | 0.0247568i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 33.0992 | − | 5.24240i | 1.13330 | − | 0.179497i | 0.438519 | − | 0.898722i | \(-0.355503\pi\) |
0.694777 | + | 0.719225i | \(0.255503\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −12.0666 | + | 13.4013i | −0.412667 | + | 0.458314i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 49.4347 | 1.68866 | 0.844329 | − | 0.535826i | \(-0.180000\pi\) | ||||
0.844329 | + | 0.535826i | \(0.180000\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −29.6371 | −1.01120 | −0.505602 | − | 0.862767i | \(-0.668730\pi\) | ||||
−0.505602 | + | 0.862767i | \(0.668730\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −8.57798 | + | 9.52681i | −0.292337 | + | 0.324673i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −47.3296 | + | 7.49628i | −1.61112 | + | 0.255176i | −0.896075 | − | 0.443902i | \(-0.853594\pi\) |
−0.715045 | + | 0.699079i | \(0.753594\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −3.70661 | − | 0.194255i | −0.126028 | − | 0.00660487i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −1.97556 | − | 18.7962i | −0.0670936 | − | 0.638353i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 10.8245 | − | 11.9715i | 0.367197 | − | 0.406106i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −17.5253 | − | 32.8673i | −0.593822 | − | 1.11367i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −4.56340 | + | 7.02701i | −0.154448 | + | 0.237828i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −41.8250 | + | 18.6217i | −1.41394 | + | 0.629528i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 13.9232 | + | 21.4399i | 0.470153 | + | 0.723973i | 0.991604 | − | 0.129309i | \(-0.0412758\pi\) |
−0.521451 | + | 0.853281i | \(0.674609\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −15.1528 | + | 15.1528i | −0.511091 | + | 0.511091i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 32.0289 | − | 18.4919i | 1.07908 | − | 0.623007i | 0.148432 | − | 0.988923i | \(-0.452577\pi\) |
0.930648 | + | 0.365916i | \(0.119244\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 4.11419 | − | 1.33678i | 0.138453 | − | 0.0449863i | −0.238971 | − | 0.971027i | \(-0.576810\pi\) |
0.377424 | + | 0.926041i | \(0.376810\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −6.35580 | − | 4.61776i | −0.213648 | − | 0.155224i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −10.4766 | − | 49.2883i | −0.351768 | − | 1.65494i | −0.697484 | − | 0.716601i | \(-0.745697\pi\) |
0.345715 | − | 0.938340i | \(-0.387636\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 6.80823 | − | 42.9855i | 0.228341 | − | 1.44169i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 2.35860 | + | 5.32741i | 0.0790161 | + | 0.178475i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −6.90944 | + | 0.726212i | −0.231216 | + | 0.0243017i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 13.9292 | + | 9.04575i | 0.465603 | + | 0.302366i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −17.1227 | + | 10.3157i | −0.571712 | + | 0.344431i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 35.7557 | − | 1.87388i | 1.19252 | − | 0.0624973i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 3.01939 | − | 5.22973i | 0.100590 | − | 0.174228i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 9.88405 | + | 36.8878i | 0.328921 | + | 1.22755i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 3.84779 | − | 7.55172i | 0.127905 | − | 0.251028i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −34.3948 | − | 3.61504i | −1.14206 | − | 0.120036i | −0.485450 | − | 0.874264i | \(-0.661344\pi\) |
−0.656612 | + | 0.754229i | \(0.728011\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 10.3817 | − | 31.9515i | 0.344338 | − | 1.05976i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 9.45575 | − | 6.87000i | 0.313283 | − | 0.227613i | −0.420021 | − | 0.907514i | \(-0.637977\pi\) |
0.733304 | + | 0.679901i | \(0.237977\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −36.7740 | + | 14.0282i | −1.21704 | + | 0.464266i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −5.26893 | − | 0.834516i | −0.174185 | − | 0.0275882i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −2.56424 | + | 48.9287i | −0.0846788 | + | 1.61577i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −8.57911 | − | 19.2690i | −0.282999 | − | 0.635625i | 0.714982 | − | 0.699143i | \(-0.246435\pi\) |
−0.997981 | + | 0.0635174i | \(0.979768\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 0.778381 | + | 14.8524i | 0.0256485 | + | 0.489403i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 30.3890 | − | 12.3194i | 1.00027 | − | 0.405497i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 7.94908 | + | 2.12995i | 0.261364 | + | 0.0700323i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −2.58398 | + | 12.1567i | −0.0848690 | + | 0.399277i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −15.1460 | + | 39.4568i | −0.496925 | + | 1.29453i | 0.424306 | + | 0.905519i | \(0.360518\pi\) |
−0.921231 | + | 0.389016i | \(0.872815\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −39.0783 | − | 76.6955i | −1.28074 | − | 2.51359i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −13.0852 | + | 29.3898i | −0.428390 | + | 0.962180i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −17.4459 | − | 17.5189i | −0.570543 | − | 0.572931i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 8.25006 | + | 11.3552i | 0.269518 | + | 0.370959i | 0.922227 | − | 0.386649i | \(-0.126368\pi\) |
−0.652709 | + | 0.757609i | \(0.726368\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −1.54688 | + | 0.328800i | −0.0504805 | + | 0.0107300i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −5.94073 | − | 37.5083i | −0.193662 | − | 1.22274i | −0.872562 | − | 0.488504i | \(-0.837543\pi\) |
0.678899 | − | 0.734231i | \(-0.262457\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −15.1761 | + | 9.85546i | −0.494201 | + | 0.320938i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 22.5217 | + | 13.0029i | 0.732632 | + | 0.422985i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −2.20258 | + | 8.22015i | −0.0715744 | + | 0.267119i | −0.992435 | − | 0.122773i | \(-0.960821\pi\) |
0.920860 | + | 0.389892i | \(0.127488\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 3.51191 | − | 9.68417i | 0.114001 | − | 0.314362i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 11.6059 | + | 14.3321i | 0.376348 | + | 0.464751i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 3.86923 | + | 4.29722i | 0.125337 | + | 0.139201i | 0.802547 | − | 0.596589i | \(-0.203478\pi\) |
−0.677210 | + | 0.735790i | \(0.736811\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −11.9948 | − | 9.71317i | −0.388141 | − | 0.314311i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −3.79185 | + | 11.5877i | −0.122573 | + | 0.374579i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 47.9542 | + | 21.3506i | 1.54852 | + | 0.689446i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −51.1314 | − | 16.6136i | −1.64940 | − | 0.535923i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −14.5385 | + | 20.0106i | −0.468497 | + | 0.644831i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −17.2719 | − | 15.5517i | −0.556001 | − | 0.500626i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −29.4918 | − | 29.4918i | −0.948392 | − | 0.948392i | 0.0503397 | − | 0.998732i | \(-0.483970\pi\) |
−0.998732 | + | 0.0503397i | \(0.983970\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 38.7904 | − | 10.3939i | 1.24613 | − | 0.333899i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 19.8039 | + | 4.20945i | 0.635538 | + | 0.135088i | 0.514404 | − | 0.857548i | \(-0.328013\pi\) |
0.121135 | + | 0.992636i | \(0.461347\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −68.9119 | + | 55.8037i | −2.20921 | + | 1.78899i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −11.2674 | + | 3.89443i | −0.360844 | + | 0.124722i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −10.6812 | + | 4.10012i | −0.341721 | + | 0.131174i | −0.523176 | − | 0.852225i | \(-0.675253\pi\) |
0.181454 | + | 0.983399i | \(0.441920\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −36.6983 | − | 2.00011i | −1.17288 | − | 0.0639238i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −16.5538 | + | 20.4423i | −0.528523 | + | 0.652671i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −11.5924 | + | 5.90661i | −0.369739 | + | 0.188391i | −0.628981 | − | 0.777421i | \(-0.716527\pi\) |
0.259241 | + | 0.965813i | \(0.416527\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 0.946174 | − | 9.00224i | 0.0301476 | − | 0.286835i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 1.27716 | + | 3.93069i | 0.0406524 | + | 0.125115i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 53.9055i | 1.71409i | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −15.0478 | − | 26.0636i | −0.478010 | − | 0.827938i | 0.521672 | − | 0.853146i | \(-0.325308\pi\) |
−0.999682 | + | 0.0252082i | \(0.991975\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −5.97979 | − | 3.04686i | −0.189763 | − | 0.0966891i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −2.24217 | − | 0.860690i | −0.0710817 | − | 0.0272857i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −19.9913 | + | 18.0003i | −0.633131 | + | 0.570074i | −0.921950 | − | 0.387310i | \(-0.873404\pi\) |
0.288818 | + | 0.957384i | \(0.406738\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −4.06981 | − | 10.6022i | −0.128763 | − | 0.335440i |
(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 | 572.2.bv.a.41.10 | ✓ | 224 | |
11.7 | odd | 10 | inner | 572.2.bv.a.249.5 | yes | 224 | |
13.7 | odd | 12 | inner | 572.2.bv.a.85.5 | yes | 224 | |
143.7 | even | 60 | inner | 572.2.bv.a.293.10 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
572.2.bv.a.41.10 | ✓ | 224 | 1.1 | even | 1 | trivial | |
572.2.bv.a.85.5 | yes | 224 | 13.7 | odd | 12 | inner | |
572.2.bv.a.249.5 | yes | 224 | 11.7 | odd | 10 | inner | |
572.2.bv.a.293.10 | yes | 224 | 143.7 | even | 60 | inner |