Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [570,2,Mod(29,570)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(570, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 9, 17]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("570.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 570.bf (of order \(18\), degree \(6\), 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: | \(4.55147291521\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 29.32 | ||
Character | \(\chi\) | \(=\) | 570.29 |
Dual form | 570.2.bf.a.59.32 |
$q$-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 \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(211\) | \(457\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{17}{18}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.984808 | − | 0.173648i | 0.696364 | − | 0.122788i | ||||
\(3\) | 0.307434 | + | 1.70455i | 0.177497 | + | 0.984121i | ||||
\(4\) | 0.939693 | − | 0.342020i | 0.469846 | − | 0.171010i | ||||
\(5\) | 2.17153 | − | 0.533326i | 0.971140 | − | 0.238511i | ||||
\(6\) | 0.598755 | + | 1.62527i | 0.244441 | + | 0.663512i | ||||
\(7\) | 0.260757 | + | 0.150548i | 0.0985569 | + | 0.0569018i | 0.548468 | − | 0.836171i | \(-0.315211\pi\) |
−0.449911 | + | 0.893073i | \(0.648544\pi\) | |||||||
\(8\) | 0.866025 | − | 0.500000i | 0.306186 | − | 0.176777i | ||||
\(9\) | −2.81097 | + | 1.04807i | −0.936990 | + | 0.349357i | ||||
\(10\) | 2.04593 | − | 0.902307i | 0.646981 | − | 0.285335i | ||||
\(11\) | 1.17946 | − | 0.680961i | 0.355620 | − | 0.205317i | −0.311538 | − | 0.950234i | \(-0.600844\pi\) |
0.667158 | + | 0.744916i | \(0.267511\pi\) | |||||||
\(12\) | 0.871883 | + | 1.49660i | 0.251691 | + | 0.432032i | ||||
\(13\) | 2.32350 | + | 1.94965i | 0.644422 | + | 0.540734i | 0.905373 | − | 0.424618i | \(-0.139591\pi\) |
−0.260951 | + | 0.965352i | \(0.584036\pi\) | |||||||
\(14\) | 0.282938 | + | 0.102981i | 0.0756183 | + | 0.0275228i | ||||
\(15\) | 1.57668 | + | 3.53752i | 0.407098 | + | 0.913385i | ||||
\(16\) | 0.766044 | − | 0.642788i | 0.191511 | − | 0.160697i | ||||
\(17\) | −0.0110966 | − | 0.0629319i | −0.00269132 | − | 0.0152632i | 0.983433 | − | 0.181275i | \(-0.0580223\pi\) |
−0.986124 | + | 0.166011i | \(0.946911\pi\) | |||||||
\(18\) | −2.58627 | + | 1.52027i | −0.609589 | + | 0.358331i | ||||
\(19\) | −3.34215 | − | 2.79822i | −0.766743 | − | 0.641955i | ||||
\(20\) | 1.85817 | − | 1.24387i | 0.415499 | − | 0.278138i | ||||
\(21\) | −0.176451 | + | 0.490756i | −0.0385048 | + | 0.107092i | ||||
\(22\) | 1.04329 | − | 0.875426i | 0.222431 | − | 0.186642i | ||||
\(23\) | −0.311004 | + | 0.113196i | −0.0648489 | + | 0.0236031i | −0.374241 | − | 0.927332i | \(-0.622097\pi\) |
0.309392 | + | 0.950935i | \(0.399874\pi\) | |||||||
\(24\) | 1.11852 | + | 1.32247i | 0.228317 | + | 0.269947i | ||||
\(25\) | 4.43113 | − | 2.31627i | 0.886225 | − | 0.463255i | ||||
\(26\) | 2.62675 | + | 1.51656i | 0.515148 | + | 0.297421i | ||||
\(27\) | −2.65067 | − | 4.46922i | −0.510122 | − | 0.860102i | ||||
\(28\) | 0.296522 | + | 0.0522848i | 0.0560374 | + | 0.00988090i | ||||
\(29\) | −1.30430 | + | 7.39707i | −0.242203 | + | 1.37360i | 0.584697 | + | 0.811252i | \(0.301213\pi\) |
−0.826900 | + | 0.562349i | \(0.809898\pi\) | |||||||
\(30\) | 2.16701 | + | 3.20999i | 0.395641 | + | 0.586062i | ||||
\(31\) | −2.02006 | − | 1.16628i | −0.362814 | − | 0.209471i | 0.307501 | − | 0.951548i | \(-0.400507\pi\) |
−0.670314 | + | 0.742077i | \(0.733841\pi\) | |||||||
\(32\) | 0.642788 | − | 0.766044i | 0.113630 | − | 0.135419i | ||||
\(33\) | 1.52334 | + | 1.80109i | 0.265179 | + | 0.313530i | ||||
\(34\) | −0.0218560 | − | 0.0600489i | −0.00374828 | − | 0.0102983i | ||||
\(35\) | 0.646534 | + | 0.187852i | 0.109284 | + | 0.0317528i | ||||
\(36\) | −2.28299 | + | 1.94627i | −0.380498 | + | 0.324379i | ||||
\(37\) | −3.24655 | −0.533730 | −0.266865 | − | 0.963734i | \(-0.585988\pi\) | ||||
−0.266865 | + | 0.963734i | \(0.585988\pi\) | |||||||
\(38\) | −3.77728 | − | 2.17535i | −0.612756 | − | 0.352888i | ||||
\(39\) | −2.60894 | + | 4.55990i | −0.417765 | + | 0.730168i | ||||
\(40\) | 1.61394 | − | 1.54764i | 0.255186 | − | 0.244704i | ||||
\(41\) | −4.00006 | + | 3.35645i | −0.624704 | + | 0.524189i | −0.899278 | − | 0.437377i | \(-0.855907\pi\) |
0.274574 | + | 0.961566i | \(0.411463\pi\) | |||||||
\(42\) | −0.0885514 | + | 0.513941i | −0.0136638 | + | 0.0793028i | ||||
\(43\) | 1.86872 | − | 5.13426i | 0.284977 | − | 0.782967i | −0.711773 | − | 0.702409i | \(-0.752108\pi\) |
0.996750 | − | 0.0805579i | \(-0.0256702\pi\) | |||||||
\(44\) | 0.875426 | − | 1.04329i | 0.131975 | − | 0.157282i | ||||
\(45\) | −5.54515 | + | 3.77509i | −0.826623 | + | 0.562757i | ||||
\(46\) | −0.286623 | + | 0.165482i | −0.0422603 | + | 0.0243990i | ||||
\(47\) | 0.167421 | − | 0.949491i | 0.0244209 | − | 0.138498i | −0.970160 | − | 0.242467i | \(-0.922043\pi\) |
0.994580 | + | 0.103970i | \(0.0331545\pi\) | |||||||
\(48\) | 1.33117 | + | 1.10815i | 0.192138 | + | 0.159947i | ||||
\(49\) | −3.45467 | − | 5.98366i | −0.493524 | − | 0.854809i | ||||
\(50\) | 3.96159 | − | 3.05054i | 0.560253 | − | 0.431412i | ||||
\(51\) | 0.103859 | − | 0.0382621i | 0.0145432 | − | 0.00535776i | ||||
\(52\) | 2.85019 | + | 1.03738i | 0.395250 | + | 0.143859i | ||||
\(53\) | 2.00009 | + | 5.49519i | 0.274733 | + | 0.754823i | 0.997938 | + | 0.0641892i | \(0.0204461\pi\) |
−0.723205 | + | 0.690634i | \(0.757332\pi\) | |||||||
\(54\) | −3.38648 | − | 3.94104i | −0.460841 | − | 0.536307i | ||||
\(55\) | 2.19806 | − | 2.10777i | 0.296386 | − | 0.284211i | ||||
\(56\) | 0.301096 | 0.0402357 | ||||||||
\(57\) | 3.74220 | − | 6.55713i | 0.495667 | − | 0.868513i | ||||
\(58\) | 7.51118i | 0.986266i | ||||||||
\(59\) | 1.12932 | + | 6.40472i | 0.147026 | + | 0.833824i | 0.965718 | + | 0.259592i | \(0.0835880\pi\) |
−0.818693 | + | 0.574232i | \(0.805301\pi\) | |||||||
\(60\) | 2.69150 | + | 2.78493i | 0.347471 | + | 0.359533i | ||||
\(61\) | 2.91313 | − | 1.06029i | 0.372988 | − | 0.135757i | −0.148723 | − | 0.988879i | \(-0.547516\pi\) |
0.521711 | + | 0.853122i | \(0.325294\pi\) | |||||||
\(62\) | −2.19190 | − | 0.797785i | −0.278371 | − | 0.101319i | ||||
\(63\) | −0.890765 | − | 0.149894i | −0.112226 | − | 0.0188849i | ||||
\(64\) | 0.500000 | − | 0.866025i | 0.0625000 | − | 0.108253i | ||||
\(65\) | 6.08535 | + | 2.99454i | 0.754795 | + | 0.371427i | ||||
\(66\) | 1.81295 | + | 1.50921i | 0.223159 | + | 0.185771i | ||||
\(67\) | 1.99315 | − | 11.3037i | 0.243502 | − | 1.38097i | −0.580444 | − | 0.814300i | \(-0.697121\pi\) |
0.823946 | − | 0.566668i | \(-0.191768\pi\) | |||||||
\(68\) | −0.0319514 | − | 0.0553414i | −0.00387467 | − | 0.00671113i | ||||
\(69\) | −0.288562 | − | 0.495322i | −0.0347388 | − | 0.0596297i | ||||
\(70\) | 0.669332 | + | 0.0727285i | 0.0800005 | + | 0.00869272i | ||||
\(71\) | −7.92785 | − | 2.88550i | −0.940862 | − | 0.342446i | −0.174356 | − | 0.984683i | \(-0.555784\pi\) |
−0.766506 | + | 0.642237i | \(0.778007\pi\) | |||||||
\(72\) | −1.91034 | + | 2.31314i | −0.225135 | + | 0.272606i | ||||
\(73\) | 6.48523 | + | 7.72880i | 0.759039 | + | 0.904587i | 0.997787 | − | 0.0664943i | \(-0.0211814\pi\) |
−0.238748 | + | 0.971082i | \(0.576737\pi\) | |||||||
\(74\) | −3.19723 | + | 0.563758i | −0.371671 | + | 0.0655355i | ||||
\(75\) | 5.31048 | + | 6.84097i | 0.613201 | + | 0.789927i | ||||
\(76\) | −4.09764 | − | 1.48638i | −0.470032 | − | 0.170499i | ||||
\(77\) | 0.410069 | 0.0467317 | ||||||||
\(78\) | −1.77749 | + | 4.94366i | −0.201261 | + | 0.559760i | ||||
\(79\) | −9.29589 | − | 11.0784i | −1.04587 | − | 1.24642i | −0.968394 | − | 0.249425i | \(-0.919758\pi\) |
−0.0774757 | − | 0.996994i | \(-0.524686\pi\) | |||||||
\(80\) | 1.32068 | − | 1.80439i | 0.147656 | − | 0.201737i | ||||
\(81\) | 6.80310 | − | 5.89219i | 0.755900 | − | 0.654688i | ||||
\(82\) | −3.35645 | + | 4.00006i | −0.370657 | + | 0.441732i | ||||
\(83\) | −0.598913 | + | 1.03735i | −0.0657393 | + | 0.113864i | −0.897022 | − | 0.441987i | \(-0.854274\pi\) |
0.831282 | + | 0.555850i | \(0.187607\pi\) | |||||||
\(84\) | 0.00203881 | + | 0.521510i | 0.000222452 | + | 0.0569014i | ||||
\(85\) | −0.0576599 | − | 0.130741i | −0.00625409 | − | 0.0141808i | ||||
\(86\) | 0.948773 | − | 5.38076i | 0.102309 | − | 0.580222i | ||||
\(87\) | −13.0096 | + | 0.0508603i | −1.39478 | + | 0.00545279i | ||||
\(88\) | 0.680961 | − | 1.17946i | 0.0725907 | − | 0.125731i | ||||
\(89\) | −10.2819 | − | 8.62750i | −1.08987 | − | 0.914513i | −0.0931717 | − | 0.995650i | \(-0.529701\pi\) |
−0.996703 | + | 0.0811366i | \(0.974145\pi\) | |||||||
\(90\) | −4.80537 | + | 4.68064i | −0.506531 | + | 0.493383i | ||||
\(91\) | 0.312353 | + | 0.858182i | 0.0327435 | + | 0.0899619i | ||||
\(92\) | −0.253533 | + | 0.212740i | −0.0264326 | + | 0.0221796i | ||||
\(93\) | 1.36695 | − | 3.80185i | 0.141746 | − | 0.394233i | ||||
\(94\) | − | 0.964139i | − | 0.0994433i | ||||||
\(95\) | −8.74996 | − | 4.29396i | −0.897727 | − | 0.440551i | ||||
\(96\) | 1.50337 | + | 0.860155i | 0.153437 | + | 0.0877892i | ||||
\(97\) | 1.21710 | + | 6.90250i | 0.123577 | + | 0.700842i | 0.982143 | + | 0.188138i | \(0.0602452\pi\) |
−0.858565 | + | 0.512704i | \(0.828644\pi\) | |||||||
\(98\) | −4.44124 | − | 5.29286i | −0.448633 | − | 0.534660i | ||||
\(99\) | −2.60173 | + | 3.15032i | −0.261483 | + | 0.316619i | ||||
\(100\) | 3.37168 | − | 3.69212i | 0.337168 | − | 0.369212i | ||||
\(101\) | 8.36352 | − | 9.96725i | 0.832201 | − | 0.991779i | −0.167781 | − | 0.985824i | \(-0.553660\pi\) |
0.999982 | − | 0.00595439i | \(-0.00189535\pi\) | |||||||
\(102\) | 0.0956370 | − | 0.0557157i | 0.00946948 | − | 0.00551668i | ||||
\(103\) | −7.33114 | − | 12.6979i | −0.722359 | − | 1.25116i | −0.960052 | − | 0.279822i | \(-0.909725\pi\) |
0.237693 | − | 0.971340i | \(-0.423609\pi\) | |||||||
\(104\) | 2.98703 | + | 0.526694i | 0.292902 | + | 0.0516466i | ||||
\(105\) | −0.121436 | + | 1.15980i | −0.0118510 | + | 0.113185i | ||||
\(106\) | 2.92393 | + | 5.06440i | 0.283997 | + | 0.491898i | ||||
\(107\) | −8.05254 | − | 4.64914i | −0.778468 | − | 0.449449i | 0.0574188 | − | 0.998350i | \(-0.481713\pi\) |
−0.835887 | + | 0.548901i | \(0.815046\pi\) | |||||||
\(108\) | −4.01938 | − | 3.29311i | −0.386765 | − | 0.316880i | ||||
\(109\) | 4.18068 | − | 11.4863i | 0.400437 | − | 1.10019i | −0.561632 | − | 0.827387i | \(-0.689826\pi\) |
0.962069 | − | 0.272805i | \(-0.0879513\pi\) | |||||||
\(110\) | 1.79866 | − | 2.45743i | 0.171495 | − | 0.234307i | ||||
\(111\) | −0.998099 | − | 5.53391i | −0.0947354 | − | 0.525255i | ||||
\(112\) | 0.296522 | − | 0.0522848i | 0.0280187 | − | 0.00494045i | ||||
\(113\) | 10.9590i | 1.03094i | 0.856907 | + | 0.515470i | \(0.172383\pi\) | ||||
−0.856907 | + | 0.515470i | \(0.827617\pi\) | |||||||
\(114\) | 2.54672 | − | 7.10734i | 0.238522 | − | 0.665663i | ||||
\(115\) | −0.614986 | + | 0.411677i | −0.0573478 | + | 0.0383890i | ||||
\(116\) | 1.30430 | + | 7.39707i | 0.121101 | + | 0.686800i | ||||
\(117\) | −8.57465 | − | 3.04520i | −0.792726 | − | 0.281529i | ||||
\(118\) | 2.22434 | + | 6.11131i | 0.204767 | + | 0.562592i | ||||
\(119\) | 0.00658077 | − | 0.0180805i | 0.000603258 | − | 0.00165744i | ||||
\(120\) | 3.13421 | + | 2.27524i | 0.286113 | + | 0.207700i | ||||
\(121\) | −4.57258 | + | 7.91995i | −0.415690 | + | 0.719995i | ||||
\(122\) | 2.68475 | − | 1.55004i | 0.243066 | − | 0.140334i | ||||
\(123\) | −6.95097 | − | 5.78640i | −0.626748 | − | 0.521742i | ||||
\(124\) | −2.29713 | − | 0.405046i | −0.206288 | − | 0.0363742i | ||||
\(125\) | 8.38701 | − | 7.39311i | 0.750157 | − | 0.661259i | ||||
\(126\) | −0.903261 | + | 0.00706258i | −0.0804689 | + | 0.000629184i | ||||
\(127\) | 7.76577 | + | 6.51626i | 0.689101 | + | 0.578224i | 0.918650 | − | 0.395073i | \(-0.129281\pi\) |
−0.229549 | + | 0.973297i | \(0.573725\pi\) | |||||||
\(128\) | 0.342020 | − | 0.939693i | 0.0302306 | − | 0.0830579i | ||||
\(129\) | 9.32610 | + | 1.60688i | 0.821117 | + | 0.141478i | ||||
\(130\) | 6.51290 | + | 1.89234i | 0.571219 | + | 0.165969i | ||||
\(131\) | 9.56494 | − | 1.68656i | 0.835692 | − | 0.147355i | 0.260603 | − | 0.965446i | \(-0.416079\pi\) |
0.575089 | + | 0.818091i | \(0.304967\pi\) | |||||||
\(132\) | 2.04748 | + | 1.17146i | 0.178210 | + | 0.101963i | ||||
\(133\) | −0.450224 | − | 1.23281i | −0.0390394 | − | 0.106898i | ||||
\(134\) | − | 11.4781i | − | 0.991556i | ||||||
\(135\) | −8.13958 | − | 8.29139i | −0.700544 | − | 0.713609i | ||||
\(136\) | −0.0410759 | − | 0.0489523i | −0.00352223 | − | 0.00419763i | ||||
\(137\) | −8.94292 | + | 3.25496i | −0.764045 | + | 0.278090i | −0.694503 | − | 0.719489i | \(-0.744376\pi\) |
−0.0695416 | + | 0.997579i | \(0.522154\pi\) | |||||||
\(138\) | −0.370190 | − | 0.437688i | −0.0315126 | − | 0.0372585i | ||||
\(139\) | −9.86691 | − | 8.27932i | −0.836901 | − | 0.702243i | 0.119964 | − | 0.992778i | \(-0.461722\pi\) |
−0.956864 | + | 0.290535i | \(0.906167\pi\) | |||||||
\(140\) | 0.671792 | − | 0.0446047i | 0.0567768 | − | 0.00376978i | ||||
\(141\) | 1.66992 | − | 0.00652845i | 0.140633 | − | 0.000549795i | ||||
\(142\) | −8.30847 | − | 1.46501i | −0.697231 | − | 0.122941i | ||||
\(143\) | 4.06810 | + | 0.717316i | 0.340192 | + | 0.0599850i | ||||
\(144\) | −1.47964 | + | 2.60972i | −0.123303 | + | 0.217477i | ||||
\(145\) | 1.11271 | + | 16.7586i | 0.0924058 | + | 1.39173i | ||||
\(146\) | 7.72880 | + | 6.48523i | 0.639640 | + | 0.536722i | ||||
\(147\) | 9.13736 | − | 7.72823i | 0.753637 | − | 0.637414i | ||||
\(148\) | −3.05076 | + | 1.11039i | −0.250771 | + | 0.0912732i | ||||
\(149\) | −10.4460 | − | 12.4490i | −0.855768 | − | 1.01986i | −0.999542 | − | 0.0302536i | \(-0.990369\pi\) |
0.143775 | − | 0.989610i | \(-0.454076\pi\) | |||||||
\(150\) | 6.41772 | + | 5.81488i | 0.524005 | + | 0.474783i | ||||
\(151\) | 12.1073i | 0.985276i | 0.870234 | + | 0.492638i | \(0.163967\pi\) | ||||
−0.870234 | + | 0.492638i | \(0.836033\pi\) | |||||||
\(152\) | −4.29350 | − | 0.752249i | −0.348249 | − | 0.0610154i | ||||
\(153\) | 0.0971493 | + | 0.165270i | 0.00785405 | + | 0.0133613i | ||||
\(154\) | 0.403840 | − | 0.0712078i | 0.0325423 | − | 0.00573809i | ||||
\(155\) | −5.00864 | − | 1.45527i | −0.402304 | − | 0.116890i | ||||
\(156\) | −0.892028 | + | 5.17722i | −0.0714194 | + | 0.414509i | ||||
\(157\) | −5.19992 | + | 14.2867i | −0.414998 | + | 1.14020i | 0.539501 | + | 0.841985i | \(0.318613\pi\) |
−0.954499 | + | 0.298214i | \(0.903609\pi\) | |||||||
\(158\) | −11.0784 | − | 9.29589i | −0.881351 | − | 0.739542i | ||||
\(159\) | −8.75193 | + | 5.09865i | −0.694073 | + | 0.404349i | ||||
\(160\) | 0.987284 | − | 2.00631i | 0.0780516 | − | 0.158613i | ||||
\(161\) | −0.0981380 | − | 0.0173044i | −0.00773436 | − | 0.00136378i | ||||
\(162\) | 5.67657 | − | 6.98402i | 0.445994 | − | 0.548716i | ||||
\(163\) | −1.45342 | + | 0.839134i | −0.113841 | + | 0.0657260i | −0.555839 | − | 0.831290i | \(-0.687603\pi\) |
0.441998 | + | 0.897016i | \(0.354270\pi\) | |||||||
\(164\) | −2.61085 | + | 4.52213i | −0.203873 | + | 0.353119i | ||||
\(165\) | 4.26855 | + | 3.09870i | 0.332306 | + | 0.241234i | ||||
\(166\) | −0.409681 | + | 1.12559i | −0.0317974 | + | 0.0873626i | ||||
\(167\) | 4.56974 | + | 12.5552i | 0.353617 | + | 0.971554i | 0.981198 | + | 0.193003i | \(0.0618227\pi\) |
−0.627581 | + | 0.778551i | \(0.715955\pi\) | |||||||
\(168\) | 0.0925671 | + | 0.513233i | 0.00714171 | + | 0.0395968i | ||||
\(169\) | −0.659905 | − | 3.74251i | −0.0507619 | − | 0.287885i | ||||
\(170\) | −0.0794868 | − | 0.118742i | −0.00609636 | − | 0.00910709i | ||||
\(171\) | 12.3274 | + | 4.36288i | 0.942701 | + | 0.333638i | ||||
\(172\) | − | 5.46377i | − | 0.416608i | ||||||
\(173\) | 9.25645 | − | 1.63216i | 0.703755 | − | 0.124091i | 0.189692 | − | 0.981844i | \(-0.439251\pi\) |
0.514063 | + | 0.857753i | \(0.328140\pi\) | |||||||
\(174\) | −12.8032 | + | 2.30919i | −0.970606 | + | 0.175059i | ||||
\(175\) | 1.50416 | + | 0.0631131i | 0.113704 | + | 0.00477090i | ||||
\(176\) | 0.465805 | − | 1.27979i | 0.0351113 | − | 0.0964676i | ||||
\(177\) | −10.5700 | + | 3.89401i | −0.794487 | + | 0.292692i | ||||
\(178\) | −11.6238 | − | 6.71101i | −0.871241 | − | 0.503011i | ||||
\(179\) | 9.62052 | + | 16.6632i | 0.719072 | + | 1.24547i | 0.961368 | + | 0.275266i | \(0.0887660\pi\) |
−0.242296 | + | 0.970202i | \(0.577901\pi\) | |||||||
\(180\) | −3.91958 | + | 5.44397i | −0.292149 | + | 0.405770i | ||||
\(181\) | 15.2585 | + | 2.69048i | 1.13415 | + | 0.199982i | 0.709047 | − | 0.705161i | \(-0.249125\pi\) |
0.425107 | + | 0.905143i | \(0.360237\pi\) | |||||||
\(182\) | 0.456629 | + | 0.790905i | 0.0338476 | + | 0.0586258i | ||||
\(183\) | 2.70291 | + | 4.63960i | 0.199805 | + | 0.342969i | ||||
\(184\) | −0.212740 | + | 0.253533i | −0.0156834 | + | 0.0186907i | ||||
\(185\) | −7.05000 | + | 1.73147i | −0.518327 | + | 0.127300i | ||||
\(186\) | 0.686000 | − | 3.98146i | 0.0503000 | − | 0.291935i | ||||
\(187\) | −0.0559421 | − | 0.0666693i | −0.00409089 | − | 0.00487534i | ||||
\(188\) | −0.167421 | − | 0.949491i | −0.0122104 | − | 0.0692488i | ||||
\(189\) | −0.0183489 | − | 1.56443i | −0.00133468 | − | 0.113796i | ||||
\(190\) | −9.36267 | − | 2.70931i | −0.679240 | − | 0.196554i | ||||
\(191\) | 4.36267i | 0.315672i | 0.987465 | + | 0.157836i | \(0.0504517\pi\) | ||||
−0.987465 | + | 0.157836i | \(0.949548\pi\) | |||||||
\(192\) | 1.62990 | + | 0.586029i | 0.117628 | + | 0.0422930i | ||||
\(193\) | 14.4475 | − | 12.1229i | 1.03995 | − | 0.872624i | 0.0479511 | − | 0.998850i | \(-0.484731\pi\) |
0.992002 | + | 0.126226i | \(0.0402864\pi\) | |||||||
\(194\) | 2.39721 | + | 6.58629i | 0.172110 | + | 0.472868i | ||||
\(195\) | −3.23350 | + | 11.2934i | −0.231556 | + | 0.808737i | ||||
\(196\) | −5.29286 | − | 4.44124i | −0.378062 | − | 0.317231i | ||||
\(197\) | −9.22534 | + | 15.9787i | −0.657278 | + | 1.13844i | 0.324040 | + | 0.946044i | \(0.394959\pi\) |
−0.981318 | + | 0.192395i | \(0.938374\pi\) | |||||||
\(198\) | −2.01515 | + | 3.55424i | −0.143211 | + | 0.252589i | ||||
\(199\) | 0.786466 | − | 4.46027i | 0.0557511 | − | 0.316180i | −0.944160 | − | 0.329486i | \(-0.893124\pi\) |
0.999911 | + | 0.0133061i | \(0.00423558\pi\) | |||||||
\(200\) | 2.67933 | − | 4.22151i | 0.189457 | − | 0.298506i | ||||
\(201\) | 19.8805 | − | 0.0777214i | 1.40226 | − | 0.00548204i | ||||
\(202\) | 6.50566 | − | 11.2681i | 0.457737 | − | 0.792823i | ||||
\(203\) | −1.45372 | + | 1.73248i | −0.102031 | + | 0.121596i | ||||
\(204\) | 0.0845092 | − | 0.0714765i | 0.00591682 | − | 0.00500435i | ||||
\(205\) | −6.89618 | + | 9.42197i | −0.481650 | + | 0.658059i | ||||
\(206\) | −9.42473 | − | 11.2320i | −0.656652 | − | 0.782567i | ||||
\(207\) | 0.755586 | − | 0.644146i | 0.0525169 | − | 0.0447712i | ||||
\(208\) | 3.03311 | 0.210308 | ||||||||
\(209\) | −5.84741 | − | 1.02450i | −0.404474 | − | 0.0708664i | ||||
\(210\) | 0.0818059 | + | 1.16327i | 0.00564514 | + | 0.0802731i | ||||
\(211\) | −10.8988 | + | 1.92176i | −0.750306 | + | 0.132299i | −0.535708 | − | 0.844403i | \(-0.679955\pi\) |
−0.214598 | + | 0.976702i | \(0.568844\pi\) | |||||||
\(212\) | 3.75893 | + | 4.47972i | 0.258165 | + | 0.307669i | ||||
\(213\) | 2.48119 | − | 14.4005i | 0.170008 | − | 0.986706i | ||||
\(214\) | −8.73752 | − | 3.18020i | −0.597284 | − | 0.217394i | ||||
\(215\) | 1.31975 | − | 12.1459i | 0.0900061 | − | 0.828341i | ||||
\(216\) | −4.53016 | − | 2.54512i | −0.308238 | − | 0.173174i | ||||
\(217\) | −0.351163 | − | 0.608233i | −0.0238385 | − | 0.0412895i | ||||
\(218\) | 2.12259 | − | 12.0378i | 0.143760 | − | 0.815303i | ||||
\(219\) | −11.1803 | + | 13.4305i | −0.755497 | + | 0.907548i | ||||
\(220\) | 1.34460 | − | 2.73243i | 0.0906531 | − | 0.184221i | ||||
\(221\) | 0.0969120 | − | 0.167857i | 0.00651901 | − | 0.0112913i | ||||
\(222\) | −1.94389 | − | 5.27652i | −0.130465 | − | 0.354137i | ||||
\(223\) | 11.4237 | + | 4.15790i | 0.764990 | + | 0.278433i | 0.694899 | − | 0.719107i | \(-0.255449\pi\) |
0.0700905 | + | 0.997541i | \(0.477671\pi\) | |||||||
\(224\) | 0.282938 | − | 0.102981i | 0.0189046 | − | 0.00688071i | ||||
\(225\) | −10.0281 | + | 11.1551i | −0.668543 | + | 0.743674i | ||||
\(226\) | 1.90302 | + | 10.7926i | 0.126587 | + | 0.717910i | ||||
\(227\) | 24.7503i | 1.64274i | 0.570399 | + | 0.821368i | \(0.306789\pi\) | ||||
−0.570399 | + | 0.821368i | \(0.693211\pi\) | |||||||
\(228\) | 1.27385 | − | 7.44159i | 0.0843628 | − | 0.492832i | ||||
\(229\) | 5.31192 | 0.351021 | 0.175511 | − | 0.984478i | \(-0.443842\pi\) | ||||
0.175511 | + | 0.984478i | \(0.443842\pi\) | |||||||
\(230\) | −0.534156 | + | 0.512214i | −0.0352212 | + | 0.0337744i | ||||
\(231\) | 0.126069 | + | 0.698983i | 0.00829474 | + | 0.0459897i | ||||
\(232\) | 2.56897 | + | 7.05820i | 0.168661 | + | 0.463394i | ||||
\(233\) | 13.5006 | + | 4.91382i | 0.884455 | + | 0.321915i | 0.744006 | − | 0.668173i | \(-0.232923\pi\) |
0.140449 | + | 0.990088i | \(0.455145\pi\) | |||||||
\(234\) | −8.97317 | − | 1.50997i | −0.586595 | − | 0.0987098i | ||||
\(235\) | −0.142828 | − | 2.15114i | −0.00931710 | − | 0.140325i | ||||
\(236\) | 3.25176 | + | 5.63222i | 0.211672 | + | 0.366626i | ||||
\(237\) | 16.0258 | − | 19.2512i | 1.04099 | − | 1.25050i | ||||
\(238\) | 0.00334114 | − | 0.0189486i | 0.000216574 | − | 0.00122825i | ||||
\(239\) | −8.88918 | + | 5.13217i | −0.574993 | + | 0.331973i | −0.759141 | − | 0.650926i | \(-0.774381\pi\) |
0.184148 | + | 0.982899i | \(0.441047\pi\) | |||||||
\(240\) | 3.48169 | + | 1.69643i | 0.224742 | + | 0.109504i | ||||
\(241\) | −3.59890 | + | 4.28901i | −0.231826 | + | 0.276279i | −0.869399 | − | 0.494110i | \(-0.835494\pi\) |
0.637573 | + | 0.770390i | \(0.279938\pi\) | |||||||
\(242\) | −3.12783 | + | 8.59365i | −0.201065 | + | 0.552421i | ||||
\(243\) | 12.1350 | + | 9.78475i | 0.778462 | + | 0.627692i | ||||
\(244\) | 2.37480 | − | 1.99270i | 0.152031 | − | 0.127569i | ||||
\(245\) | −10.6932 | − | 11.1513i | −0.683162 | − | 0.712428i | ||||
\(246\) | −7.85017 | − | 4.49147i | −0.500509 | − | 0.286366i | ||||
\(247\) | −2.30996 | − | 13.0177i | −0.146979 | − | 0.828294i | ||||
\(248\) | −2.33257 | −0.148118 | ||||||||
\(249\) | −1.95234 | − | 0.701961i | −0.123724 | − | 0.0444850i | ||||
\(250\) | 6.97580 | − | 8.73718i | 0.441188 | − | 0.552588i | ||||
\(251\) | −1.76923 | − | 4.86093i | −0.111673 | − | 0.306819i | 0.871249 | − | 0.490841i | \(-0.163310\pi\) |
−0.982922 | + | 0.184022i | \(0.941088\pi\) | |||||||
\(252\) | −0.888312 | + | 0.163805i | −0.0559584 | + | 0.0103187i | ||||
\(253\) | −0.289735 | + | 0.345292i | −0.0182155 | + | 0.0217083i | ||||
\(254\) | 8.77933 | + | 5.06875i | 0.550864 | + | 0.318041i | ||||
\(255\) | 0.205127 | − | 0.138478i | 0.0128456 | − | 0.00867184i | ||||
\(256\) | 0.173648 | − | 0.984808i | 0.0108530 | − | 0.0615505i | ||||
\(257\) | 28.2371 | + | 4.97896i | 1.76138 | + | 0.310579i | 0.958401 | − | 0.285425i | \(-0.0921349\pi\) |
0.802981 | + | 0.596005i | \(0.203246\pi\) | |||||||
\(258\) | 9.46345 | − | 0.0369967i | 0.589169 | − | 0.00230331i | ||||
\(259\) | −0.846561 | − | 0.488762i | −0.0526028 | − | 0.0303702i | ||||
\(260\) | 6.74255 | + | 0.732635i | 0.418155 | + | 0.0454361i | ||||
\(261\) | −4.08630 | − | 22.1599i | −0.252935 | − | 1.37167i | ||||
\(262\) | 9.12676 | − | 3.32187i | 0.563853 | − | 0.205226i | ||||
\(263\) | −1.57055 | + | 1.31785i | −0.0968442 | + | 0.0812619i | −0.689924 | − | 0.723882i | \(-0.742356\pi\) |
0.593080 | + | 0.805143i | \(0.297912\pi\) | |||||||
\(264\) | 2.21979 | + | 0.798125i | 0.136619 | + | 0.0491212i | ||||
\(265\) | 7.27399 | + | 10.8663i | 0.446838 | + | 0.667512i | ||||
\(266\) | −0.657459 | − | 1.13590i | −0.0403114 | − | 0.0696465i | ||||
\(267\) | 11.5450 | − | 20.1783i | 0.706543 | − | 1.23489i | ||||
\(268\) | −1.99315 | − | 11.3037i | −0.121751 | − | 0.690484i | ||||
\(269\) | −12.2049 | + | 10.2411i | −0.744144 | + | 0.624411i | −0.933947 | − | 0.357411i | \(-0.883660\pi\) |
0.189803 | + | 0.981822i | \(0.439215\pi\) | |||||||
\(270\) | −9.45571 | − | 6.75200i | −0.575456 | − | 0.410914i | ||||
\(271\) | 16.9517 | + | 6.16992i | 1.02974 | + | 0.374796i | 0.800983 | − | 0.598687i | \(-0.204310\pi\) |
0.228761 | + | 0.973483i | \(0.426533\pi\) | |||||||
\(272\) | −0.0489523 | − | 0.0410759i | −0.00296817 | − | 0.00249059i | ||||
\(273\) | −1.36678 | + | 0.796254i | −0.0827216 | + | 0.0481915i | ||||
\(274\) | −8.24184 | + | 4.75843i | −0.497908 | + | 0.287467i | ||||
\(275\) | 3.64904 | − | 5.74937i | 0.220045 | − | 0.346700i | ||||
\(276\) | −0.440569 | − | 0.366756i | −0.0265192 | − | 0.0220761i | ||||
\(277\) | −0.895389 | + | 0.516953i | −0.0537987 | + | 0.0310607i | −0.526658 | − | 0.850077i | \(-0.676555\pi\) |
0.472859 | + | 0.881138i | \(0.343222\pi\) | |||||||
\(278\) | −11.1547 | − | 6.44017i | −0.669015 | − | 0.386256i | ||||
\(279\) | 6.90068 | + | 1.16122i | 0.413133 | + | 0.0695203i | ||||
\(280\) | 0.653841 | − | 0.160583i | 0.0390745 | − | 0.00959664i | ||||
\(281\) | −14.7019 | + | 5.35105i | −0.877042 | + | 0.319217i | −0.741015 | − | 0.671488i | \(-0.765655\pi\) |
−0.136027 | + | 0.990705i | \(0.543433\pi\) | |||||||
\(282\) | 1.64342 | − | 0.296409i | 0.0978643 | − | 0.0176509i | ||||
\(283\) | −7.62181 | + | 1.34393i | −0.453070 | + | 0.0798884i | −0.395526 | − | 0.918455i | \(-0.629438\pi\) |
−0.0575432 | + | 0.998343i | \(0.518327\pi\) | |||||||
\(284\) | −8.43664 | −0.500622 | ||||||||
\(285\) | 4.62923 | − | 16.2348i | 0.274212 | − | 0.961669i | ||||
\(286\) | 4.13086 | 0.244263 | ||||||||
\(287\) | −1.54835 | + | 0.273016i | −0.0913961 | + | 0.0161156i | ||||
\(288\) | −1.00399 | + | 2.82701i | −0.0591605 | + | 0.166583i | ||||
\(289\) | 15.9709 | − | 5.81295i | 0.939467 | − | 0.341938i | ||||
\(290\) | 4.00591 | + | 16.3108i | 0.235235 | + | 0.957802i | ||||
\(291\) | −11.3915 | + | 4.19666i | −0.667779 | + | 0.246013i | ||||
\(292\) | 8.73753 | + | 5.04461i | 0.511325 | + | 0.295214i | ||||
\(293\) | 26.7166 | − | 15.4248i | 1.56080 | − | 0.901128i | 0.563622 | − | 0.826033i | \(-0.309407\pi\) |
0.997176 | − | 0.0750949i | \(-0.0239260\pi\) | |||||||
\(294\) | 7.65655 | − | 9.19751i | 0.446539 | − | 0.536410i | ||||
\(295\) | 5.86817 | + | 13.3058i | 0.341658 | + | 0.774692i | ||||
\(296\) | −2.81160 | + | 1.62328i | −0.163421 | + | 0.0943510i | ||||
\(297\) | −6.16972 | − | 3.46626i | −0.358004 | − | 0.201133i | ||||
\(298\) | −12.4490 | − | 10.4460i | −0.721153 | − | 0.605119i | ||||
\(299\) | −0.943311 | − | 0.343337i | −0.0545531 | − | 0.0198557i | ||||
\(300\) | 7.32996 | + | 4.61212i | 0.423196 | + | 0.266281i | ||||
\(301\) | 1.26023 | − | 1.05746i | 0.0726387 | − | 0.0609511i | ||||
\(302\) | 2.10241 | + | 11.9233i | 0.120980 | + | 0.686111i | ||||
\(303\) | 19.5609 | + | 11.1918i | 1.12374 | + | 0.642949i | ||||
\(304\) | −4.35890 | + | 0.00473766i | −0.250000 | + | 0.000271724i | ||||
\(305\) | 5.76048 | − | 3.85611i | 0.329844 | − | 0.220800i | ||||
\(306\) | 0.124372 | + | 0.145889i | 0.00710988 | + | 0.00833992i | ||||
\(307\) | 5.35862 | − | 4.49641i | 0.305832 | − | 0.256624i | −0.476935 | − | 0.878939i | \(-0.658252\pi\) |
0.782767 | + | 0.622315i | \(0.213808\pi\) | |||||||
\(308\) | 0.385339 | − | 0.140252i | 0.0219567 | − | 0.00799160i | ||||
\(309\) | 19.3904 | − | 16.4000i | 1.10308 | − | 0.932966i | ||||
\(310\) | −5.18526 | − | 0.563421i | −0.294503 | − | 0.0320002i | ||||
\(311\) | −8.39956 | − | 4.84949i | −0.476295 | − | 0.274989i | 0.242576 | − | 0.970132i | \(-0.422008\pi\) |
−0.718871 | + | 0.695143i | \(0.755341\pi\) | |||||||
\(312\) | 0.0205380 | + | 5.25346i | 0.00116274 | + | 0.297419i | ||||
\(313\) | −19.4845 | − | 3.43564i | −1.10133 | − | 0.194194i | −0.406700 | − | 0.913562i | \(-0.633320\pi\) |
−0.694629 | + | 0.719368i | \(0.744432\pi\) | |||||||
\(314\) | −2.64007 | + | 14.9726i | −0.148988 | + | 0.844950i | ||||
\(315\) | −2.01427 | + | 0.149568i | −0.113491 | + | 0.00842718i | ||||
\(316\) | −12.5243 | − | 7.23092i | −0.704548 | − | 0.406771i | ||||
\(317\) | −7.42447 | + | 8.84814i | −0.417000 | + | 0.496961i | −0.933125 | − | 0.359552i | \(-0.882929\pi\) |
0.516125 | + | 0.856513i | \(0.327374\pi\) | |||||||
\(318\) | −7.73360 | + | 6.54095i | −0.433679 | + | 0.366798i | ||||
\(319\) | 3.49874 | + | 9.61271i | 0.195892 | + | 0.538209i | ||||
\(320\) | 0.623893 | − | 2.14727i | 0.0348767 | − | 0.120036i | ||||
\(321\) | 5.44905 | − | 15.1552i | 0.304137 | − | 0.845883i | ||||
\(322\) | −0.0996520 | −0.00555339 | ||||||||
\(323\) | −0.139011 | + | 0.241379i | −0.00773475 | + | 0.0134307i | ||||
\(324\) | 4.37757 | − | 7.86364i | 0.243198 | − | 0.436869i | ||||
\(325\) | 14.8116 | + | 3.25727i | 0.821601 | + | 0.180681i | ||||
\(326\) | −1.28563 | + | 1.07877i | −0.0712043 | + | 0.0597475i | ||||
\(327\) | 20.8643 | + | 3.59489i | 1.15380 | + | 0.198798i | ||||
\(328\) | −1.78593 | + | 4.90679i | −0.0986113 | + | 0.270932i | ||||
\(329\) | 0.186600 | − | 0.222382i | 0.0102876 | − | 0.0122603i | ||||
\(330\) | 4.74178 | + | 2.31040i | 0.261027 | + | 0.127183i | ||||
\(331\) | −19.1300 | + | 11.0447i | −1.05148 | + | 0.607072i | −0.923063 | − | 0.384648i | \(-0.874323\pi\) |
−0.128416 | + | 0.991720i | \(0.540989\pi\) | |||||||
\(332\) | −0.208000 | + | 1.17963i | −0.0114155 | + | 0.0647405i | ||||
\(333\) | 9.12596 | − | 3.40262i | 0.500100 | − | 0.186462i | ||||
\(334\) | 6.68051 | + | 11.5710i | 0.365541 | + | 0.633136i | ||||
\(335\) | −1.70038 | − | 25.6094i | −0.0929015 | − | 1.39919i | ||||
\(336\) | 0.180283 | + | 0.489362i | 0.00983523 | + | 0.0266969i | ||||
\(337\) | −3.75445 | − | 1.36651i | −0.204518 | − | 0.0744385i | 0.237730 | − | 0.971331i | \(-0.423597\pi\) |
−0.442248 | + | 0.896893i | \(0.645819\pi\) | |||||||
\(338\) | −1.29976 | − | 3.57106i | −0.0706976 | − | 0.194240i | ||||
\(339\) | −18.6802 | + | 3.36918i | −1.01457 | + | 0.182989i | ||||
\(340\) | −0.0988985 | − | 0.103135i | −0.00536353 | − | 0.00559329i | ||||
\(341\) | −3.17677 | −0.172032 | ||||||||
\(342\) | 12.8977 | + | 2.15597i | 0.697430 | + | 0.116581i | ||||
\(343\) | − | 4.18805i | − | 0.226133i | ||||||
\(344\) | −0.948773 | − | 5.38076i | −0.0511544 | − | 0.290111i | ||||
\(345\) | −0.890790 | − | 0.921710i | −0.0479585 | − | 0.0496232i | ||||
\(346\) | 8.83241 | − | 3.21473i | 0.474833 | − | 0.172825i | ||||
\(347\) | 13.1531 | + | 4.78733i | 0.706095 | + | 0.256997i | 0.670011 | − | 0.742351i | \(-0.266289\pi\) |
0.0360839 | + | 0.999349i | \(0.488512\pi\) | |||||||
\(348\) | −12.2077 | + | 4.49735i | −0.654400 | + | 0.241083i | ||||
\(349\) | 3.44103 | − | 5.96003i | 0.184194 | − | 0.319033i | −0.759111 | − | 0.650962i | \(-0.774366\pi\) |
0.943305 | + | 0.331928i | \(0.107699\pi\) | |||||||
\(350\) | 1.49227 | − | 0.199040i | 0.0797649 | − | 0.0106391i | ||||
\(351\) | 2.55456 | − | 15.5521i | 0.136353 | − | 0.830109i | ||||
\(352\) | 0.236495 | − | 1.34123i | 0.0126052 | − | 0.0714879i | ||||
\(353\) | 7.96374 | + | 13.7936i | 0.423867 | + | 0.734159i | 0.996314 | − | 0.0857827i | \(-0.0273391\pi\) |
−0.572447 | + | 0.819942i | \(0.694006\pi\) | |||||||
\(354\) | −9.73319 | + | 5.67031i | −0.517313 | + | 0.301374i | ||||
\(355\) | −18.7545 | − | 2.03783i | −0.995386 | − | 0.108157i | ||||
\(356\) | −12.6126 | − | 4.59060i | −0.668465 | − | 0.243301i | ||||
\(357\) | 0.0328422 | + | 0.00565868i | 0.00173820 | + | 0.000299489i | ||||
\(358\) | 12.3679 | + | 14.7395i | 0.653664 | + | 0.779007i | ||||
\(359\) | 21.1878 | − | 3.73598i | 1.11825 | − | 0.197177i | 0.416176 | − | 0.909284i | \(-0.363370\pi\) |
0.702071 | + | 0.712107i | \(0.252259\pi\) | |||||||
\(360\) | −2.91470 | + | 6.04190i | −0.153618 | + | 0.318436i | ||||
\(361\) | 3.33998 | + | 18.7041i | 0.175789 | + | 0.984428i | ||||
\(362\) | 15.4939 | 0.814340 | ||||||||
\(363\) | −14.9057 | − | 5.35933i | −0.782346 | − | 0.281292i | ||||
\(364\) | 0.587031 | + | 0.699596i | 0.0307688 | + | 0.0366688i | ||||
\(365\) | 18.2049 | + | 13.3246i | 0.952887 | + | 0.697442i | ||||
\(366\) | 3.46751 | + | 4.09976i | 0.181250 | + | 0.214298i | ||||
\(367\) | −1.43718 | + | 1.71277i | −0.0750202 | + | 0.0894056i | −0.802249 | − | 0.596989i | \(-0.796363\pi\) |
0.727229 | + | 0.686395i | \(0.240808\pi\) | |||||||
\(368\) | −0.165482 | + | 0.286623i | −0.00862634 | + | 0.0149413i | ||||
\(369\) | 7.72624 | − | 13.6272i | 0.402212 | − | 0.709404i | ||||
\(370\) | −6.64223 | + | 2.92939i | −0.345313 | + | 0.152292i | ||||
\(371\) | −0.305754 | + | 1.73402i | −0.0158740 | + | 0.0900258i | ||||
\(372\) | −0.0157945 | − | 4.04009i | −0.000818904 | − | 0.209469i | ||||
\(373\) | −8.49126 | + | 14.7073i | −0.439661 | + | 0.761515i | −0.997663 | − | 0.0683245i | \(-0.978235\pi\) |
0.558002 | + | 0.829839i | \(0.311568\pi\) | |||||||
\(374\) | −0.0666693 | − | 0.0559421i | −0.00344738 | − | 0.00289270i | ||||
\(375\) | 15.1804 | + | 12.0232i | 0.783910 | + | 0.620874i | ||||
\(376\) | −0.329755 | − | 0.905994i | −0.0170058 | − | 0.0467231i | ||||
\(377\) | −17.4522 | + | 14.6441i | −0.898834 | + | 0.754212i | ||||
\(378\) | −0.289731 | − | 1.53748i | −0.0149022 | − | 0.0790795i | ||||
\(379\) | 31.6333i | 1.62489i | 0.583037 | + | 0.812446i | \(0.301864\pi\) | ||||
−0.583037 | + | 0.812446i | \(0.698136\pi\) | |||||||
\(380\) | −9.69090 | − | 1.04234i | −0.497133 | − | 0.0534710i | ||||
\(381\) | −8.71981 | + | 15.2404i | −0.446730 | + | 0.780792i | ||||
\(382\) | 0.757570 | + | 4.29639i | 0.0387607 | + | 0.219823i | ||||
\(383\) | 3.91617 | + | 4.66711i | 0.200107 | + | 0.238478i | 0.856761 | − | 0.515714i | \(-0.172473\pi\) |
−0.656654 | + | 0.754192i | \(0.728029\pi\) | |||||||
\(384\) | 1.70690 | + | 0.294097i | 0.0871049 | + | 0.0150081i | ||||
\(385\) | 0.890480 | − | 0.218701i | 0.0453831 | − | 0.0111460i | ||||
\(386\) | 12.1229 | − | 14.4475i | 0.617038 | − | 0.735358i | ||||
\(387\) | 0.128159 | + | 16.3908i | 0.00651470 | + | 0.833191i | ||||
\(388\) | 3.50449 | + | 6.06995i | 0.177914 | + | 0.308155i | ||||
\(389\) | 16.3942 | + | 2.89073i | 0.831217 | + | 0.146566i | 0.573036 | − | 0.819530i | \(-0.305766\pi\) |
0.258182 | + | 0.966096i | \(0.416877\pi\) | |||||||
\(390\) | −1.22330 | + | 11.6833i | −0.0619440 | + | 0.591608i | ||||
\(391\) | 0.0105748 | + | 0.0183160i | 0.000534788 | + | 0.000926280i | ||||
\(392\) | −5.98366 | − | 3.45467i | −0.302221 | − | 0.174487i | ||||
\(393\) | 5.81540 | + | 15.7854i | 0.293348 | + | 0.796268i | ||||
\(394\) | −6.31050 | + | 17.3380i | −0.317918 | + | 0.873474i | ||||
\(395\) | −26.0948 | − | 19.0994i | −1.31297 | − | 0.960996i | ||||
\(396\) | −1.36735 | + | 3.85017i | −0.0687120 | + | 0.193478i | ||||
\(397\) | −31.3959 | + | 5.53594i | −1.57571 | + | 0.277841i | −0.892043 | − | 0.451951i | \(-0.850728\pi\) |
−0.683670 | + | 0.729791i | \(0.739617\pi\) | |||||||
\(398\) | − | 4.52908i | − | 0.227022i | ||||||
\(399\) | 1.96297 | − | 1.14644i | 0.0982713 | − | 0.0573935i | ||||
\(400\) | 1.90557 | − | 4.62264i | 0.0952784 | − | 0.231132i | ||||
\(401\) | 6.36197 | + | 36.0805i | 0.317702 | + | 1.80177i | 0.556655 | + | 0.830744i | \(0.312085\pi\) |
−0.238953 | + | 0.971031i | \(0.576804\pi\) | |||||||
\(402\) | 19.5650 | − | 3.52875i | 0.975812 | − | 0.175998i | ||||
\(403\) | −2.41977 | − | 6.64826i | −0.120537 | − | 0.331174i | ||||
\(404\) | 4.45013 | − | 12.2266i | 0.221402 | − | 0.608298i | ||||
\(405\) | 11.6307 | − | 16.4234i | 0.577934 | − | 0.816083i | ||||
\(406\) | −1.13079 | + | 1.95859i | −0.0561204 | + | 0.0972033i | ||||
\(407\) | −3.82918 | + | 2.21078i | −0.189805 | + | 0.109584i | ||||
\(408\) | 0.0708135 | − | 0.0850654i | 0.00350579 | − | 0.00421137i | ||||
\(409\) | 16.0690 | + | 2.83340i | 0.794562 | + | 0.140103i | 0.556172 | − | 0.831067i | \(-0.312269\pi\) |
0.238389 | + | 0.971170i | \(0.423381\pi\) | |||||||
\(410\) | −5.15530 | + | 10.4763i | −0.254602 | + | 0.517390i | ||||
\(411\) | −8.29758 | − | 14.2430i | −0.409290 | − | 0.702553i | ||||
\(412\) | −11.2320 | − | 9.42473i | −0.553359 | − | 0.464323i | ||||
\(413\) | −0.669739 | + | 1.84009i | −0.0329557 | + | 0.0905451i | ||||
\(414\) | 0.632252 | − | 0.765566i | 0.0310735 | − | 0.0376255i | ||||
\(415\) | −0.747316 | + | 2.57205i | −0.0366843 | + | 0.126257i | ||||
\(416\) | 2.98703 | − | 0.526694i | 0.146451 | − | 0.0258233i | ||||
\(417\) | 11.0791 | − | 19.3640i | 0.542545 | − | 0.948258i | ||||
\(418\) | −5.93648 | + | 0.00645233i | −0.290362 | + | 0.000315594i | ||||
\(419\) | 16.2266i | 0.792723i | 0.918095 | + | 0.396361i | \(0.129727\pi\) | ||||
−0.918095 | + | 0.396361i | \(0.870273\pi\) | |||||||
\(420\) | 0.282562 | + | 1.13139i | 0.0137876 | + | 0.0552062i | ||||
\(421\) | −2.31467 | − | 2.75851i | −0.112810 | − | 0.134442i | 0.706684 | − | 0.707529i | \(-0.250190\pi\) |
−0.819494 | + | 0.573087i | \(0.805746\pi\) | |||||||
\(422\) | −10.3995 | + | 3.78512i | −0.506241 | + | 0.184257i | ||||
\(423\) | 0.524519 | + | 2.84446i | 0.0255030 | + | 0.138302i | ||||
\(424\) | 4.47972 | + | 3.75893i | 0.217555 | + | 0.182550i | ||||
\(425\) | −0.194938 | − | 0.253156i | −0.00945588 | − | 0.0122799i | ||||
\(426\) | −0.0571268 | − | 14.6126i | −0.00276780 | − | 0.707981i | ||||
\(427\) | 0.919244 | + | 0.162087i | 0.0444853 | + | 0.00784396i | ||||
\(428\) | −9.15701 | − | 1.61463i | −0.442621 | − | 0.0780460i | ||||
\(429\) | 0.0279712 | + | 7.15480i | 0.00135046 | + | 0.345437i | ||||
\(430\) | −0.809408 | − | 12.1905i | −0.0390331 | − | 0.587879i | ||||
\(431\) | 0.498544 | + | 0.418328i | 0.0240140 | + | 0.0201502i | 0.654716 | − | 0.755875i | \(-0.272788\pi\) |
−0.630702 | + | 0.776025i | \(0.717233\pi\) | |||||||
\(432\) | −4.90329 | − | 1.71980i | −0.235910 | − | 0.0827440i | ||||
\(433\) | 2.08615 | − | 0.759297i | 0.100254 | − | 0.0364895i | −0.291406 | − | 0.956599i | \(-0.594123\pi\) |
0.391660 | + | 0.920110i | \(0.371901\pi\) | |||||||
\(434\) | −0.451447 | − | 0.538014i | −0.0216702 | − | 0.0258255i | ||||
\(435\) | −28.2238 | + | 7.04883i | −1.35323 | + | 0.337966i | ||||
\(436\) | − | 12.2235i | − | 0.585400i | ||||||
\(437\) | 1.35617 | + | 0.491938i | 0.0648745 | + | 0.0235326i | ||||
\(438\) | −8.67830 | + | 15.1679i | −0.414665 | + | 0.724750i | ||||
\(439\) | 1.63843 | − | 0.288899i | 0.0781980 | − | 0.0137884i | −0.134412 | − | 0.990925i | \(-0.542915\pi\) |
0.212610 | + | 0.977137i | \(0.431804\pi\) | |||||||
\(440\) | 0.849694 | − | 2.92441i | 0.0405075 | − | 0.139416i | ||||
\(441\) | 15.9823 | + | 13.1992i | 0.761061 | + | 0.628531i | ||||
\(442\) | 0.0662917 | − | 0.182135i | 0.00315318 | − | 0.00866328i | ||||
\(443\) | −26.1390 | − | 21.9332i | −1.24190 | − | 1.04208i | −0.997373 | − | 0.0724371i | \(-0.976922\pi\) |
−0.244529 | − | 0.969642i | \(-0.578633\pi\) | |||||||
\(444\) | −2.83061 | − | 4.85880i | −0.134335 | − | 0.230588i | ||||
\(445\) | −26.9287 | − | 13.2513i | −1.27654 | − | 0.628174i | ||||
\(446\) | 11.9722 | + | 2.11102i | 0.566900 | + | 0.0999597i | ||||
\(447\) | 18.0085 | − | 21.6329i | 0.851774 | − | 1.02320i | ||||
\(448\) | 0.260757 | − | 0.150548i | 0.0123196 | − | 0.00711273i | ||||
\(449\) | 19.7245 | − | 34.1638i | 0.930855 | − | 1.61229i | 0.148992 | − | 0.988838i | \(-0.452397\pi\) |
0.781863 | − | 0.623450i | \(-0.214270\pi\) | |||||||
\(450\) | −7.93873 | + | 12.7270i | −0.374235 | + | 0.599957i | ||||
\(451\) | −2.43229 | + | 6.68267i | −0.114532 | + | 0.314675i | ||||
\(452\) | 3.74821 | + | 10.2981i | 0.176301 | + | 0.484384i | ||||
\(453\) | −20.6374 | + | 3.72218i | −0.969631 | + | 0.174883i | ||||
\(454\) | 4.29785 | + | 24.3743i | 0.201708 | + | 1.14394i | ||||
\(455\) | 1.13598 | + | 1.69699i | 0.0532554 | + | 0.0795559i | ||||
\(456\) | −0.0377211 | − | 7.54974i | −0.00176645 | − | 0.353549i | ||||
\(457\) | − | 20.8281i | − | 0.974295i | −0.873320 | − | 0.487148i | \(-0.838037\pi\) | ||
0.873320 | − | 0.487148i | \(-0.161963\pi\) | |||||||
\(458\) | 5.23122 | − | 0.922404i | 0.244439 | − | 0.0431011i | ||||
\(459\) | −0.251843 | + | 0.216405i | −0.0117550 | + | 0.0101009i | ||||
\(460\) | −0.437096 | + | 0.597187i | −0.0203797 | + | 0.0278440i | ||||
\(461\) | 3.47801 | − | 9.55575i | 0.161987 | − | 0.445056i | −0.831971 | − | 0.554820i | \(-0.812787\pi\) |
0.993958 | + | 0.109764i | \(0.0350095\pi\) | |||||||
\(462\) | 0.245531 | + | 0.666472i | 0.0114231 | + | 0.0310071i | ||||
\(463\) | 21.1384 | + | 12.2042i | 0.982383 | + | 0.567179i | 0.902989 | − | 0.429664i | \(-0.141368\pi\) |
0.0793943 | + | 0.996843i | \(0.474701\pi\) | |||||||
\(464\) | 3.75559 | + | 6.50487i | 0.174349 | + | 0.301981i | ||||
\(465\) | 0.940756 | − | 8.98488i | 0.0436265 | − | 0.416664i | ||||
\(466\) | 14.1488 | + | 2.49481i | 0.655430 | + | 0.115570i | ||||
\(467\) | −4.56140 | − | 7.90057i | −0.211076 | − | 0.365595i | 0.740975 | − | 0.671532i | \(-0.234364\pi\) |
−0.952052 | + | 0.305937i | \(0.901030\pi\) | |||||||
\(468\) | −9.09905 | + | 0.0711453i | −0.420604 | + | 0.00328869i | ||||
\(469\) | 2.22148 | − | 2.64746i | 0.102578 | − | 0.122248i | ||||
\(470\) | −0.514201 | − | 2.09366i | −0.0237183 | − | 0.0965734i | ||||
\(471\) | −25.9509 | − | 4.47131i | −1.19576 | − | 0.206027i | ||||
\(472\) | 4.18038 | + | 4.98199i | 0.192418 | + | 0.229315i | ||||
\(473\) | −1.29215 | − | 7.32817i | −0.0594133 | − | 0.336950i | ||||
\(474\) | 12.4394 | − | 21.7416i | 0.571362 | − | 0.998623i | ||||
\(475\) | −21.2909 | − | 4.65790i | −0.976895 | − | 0.213719i | ||||
\(476\) | − | 0.0192409i | − | 0.000881904i | ||||||
\(477\) | −11.3815 | − | 13.3506i | −0.521125 | − | 0.611282i | ||||
\(478\) | −7.86294 | + | 6.59779i | −0.359643 | + | 0.301776i | ||||
\(479\) | −10.5719 | − | 29.0461i | −0.483043 | − | 1.32715i | −0.906872 | − | 0.421407i | \(-0.861536\pi\) |
0.423829 | − | 0.905742i | \(-0.360686\pi\) | |||||||
\(480\) | 3.72337 | + | 1.06607i | 0.169948 | + | 0.0486591i | ||||
\(481\) | −7.54336 | − | 6.32963i | −0.343948 | − | 0.288606i | ||||
\(482\) | −2.79945 | + | 4.84879i | −0.127511 | + | 0.220856i | ||||
\(483\) | −0.000674771 | − | 0.172601i | −3.07032e−5 | − | 0.00785362i | ||||
\(484\) | −1.58804 | + | 9.00623i | −0.0721837 | + | 0.409374i | ||||
\(485\) | 6.32425 | + | 14.3399i | 0.287169 | + | 0.651141i | ||||
\(486\) | 13.6498 | + | 7.52887i | 0.619166 | + | 0.341517i | ||||
\(487\) | −19.2347 | + | 33.3156i | −0.871609 | + | 1.50967i | −0.0112782 | + | 0.999936i | \(0.503590\pi\) |
−0.860331 | + | 0.509735i | \(0.829743\pi\) | |||||||
\(488\) | 1.99270 | − | 2.37480i | 0.0902052 | − | 0.107502i | ||||
\(489\) | −1.87717 | − | 2.21945i | −0.0848888 | − | 0.100367i | ||||
\(490\) | −12.4671 | − | 9.12500i | −0.563207 | − | 0.412226i | ||||
\(491\) | 9.08306 | + | 10.8248i | 0.409913 | + | 0.488515i | 0.931016 | − | 0.364979i | \(-0.118924\pi\) |
−0.521103 | + | 0.853494i | \(0.674479\pi\) | |||||||
\(492\) | −8.51085 | − | 3.06007i | −0.383699 | − | 0.137959i | ||||
\(493\) | 0.479985 | 0.0216174 | ||||||||
\(494\) | −4.53536 | − | 12.4188i | −0.204055 | − | 0.558747i | ||||
\(495\) | −3.96959 | + | 8.22859i | −0.178420 | + | 0.369848i | ||||
\(496\) | −2.29713 | + | 0.405046i | −0.103144 | + | 0.0181871i | ||||
\(497\) | −1.63283 | − | 1.94594i | −0.0732426 | − | 0.0872872i | ||||
\(498\) | −2.04457 | − | 0.352277i | −0.0916194 | − | 0.0157859i | ||||
\(499\) | 2.10380 | + | 0.765722i | 0.0941792 | + | 0.0342784i | 0.388680 | − | 0.921373i | \(-0.372931\pi\) |
−0.294501 | + | 0.955651i | \(0.595153\pi\) | |||||||
\(500\) | 5.35262 | − | 9.81577i | 0.239377 | − | 0.438975i | ||||
\(501\) | −19.9961 | + | 11.6492i | −0.893361 | + | 0.520450i | ||||
\(502\) | −2.58645 | − | 4.47986i | −0.115439 | − | 0.199946i | ||||
\(503\) | 6.16336 | − | 34.9542i | 0.274811 | − | 1.55853i | −0.464751 | − | 0.885441i | \(-0.653856\pi\) |
0.739562 | − | 0.673088i | \(-0.235033\pi\) | |||||||
\(504\) | −0.846372 | + | 0.315570i | −0.0377004 | + | 0.0140566i | ||||
\(505\) | 12.8459 | − | 26.1047i | 0.571634 | − | 1.16164i | ||||
\(506\) | −0.225373 | + | 0.390358i | −0.0100191 | + | 0.0173535i | ||||
\(507\) | 6.17641 | − | 2.27541i | 0.274304 | − | 0.101055i | ||||
\(508\) | 9.52613 | + | 3.46723i | 0.422654 | + | 0.153833i | ||||
\(509\) | 33.7020 | − | 12.2665i | 1.49382 | − | 0.543704i | 0.539364 | − | 0.842073i | \(-0.318665\pi\) |
0.954451 | + | 0.298368i | \(0.0964424\pi\) | |||||||
\(510\) | 0.177964 | − | 0.171994i | 0.00788040 | − | 0.00761604i | ||||
\(511\) | 0.527513 | + | 2.99168i | 0.0233358 | + | 0.132344i | ||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | −3.64688 | + | 22.3540i | −0.161014 | + | 0.986952i | ||||
\(514\) | 28.6727 | 1.26470 | ||||||||
\(515\) | −22.6920 | − | 23.6641i | −0.999927 | − | 1.04276i | ||||
\(516\) | 9.31325 | − | 1.67975i | 0.409993 | − | 0.0739467i | ||||
\(517\) | −0.449100 | − | 1.23389i | −0.0197514 | − | 0.0542665i | ||||
\(518\) | −0.918573 | − | 0.334333i | −0.0403598 | − | 0.0146898i | ||||
\(519\) | 5.62784 | + | 15.2763i | 0.247035 | + | 0.670555i | ||||
\(520\) | 6.76734 | − | 0.449328i | 0.296768 | − | 0.0197043i | ||||
\(521\) | 7.48895 | + | 12.9712i | 0.328097 | + | 0.568280i | 0.982134 | − | 0.188182i | \(-0.0602594\pi\) |
−0.654037 | + | 0.756462i | \(0.726926\pi\) | |||||||
\(522\) | −7.87225 | − | 21.1137i | −0.344559 | − | 0.924121i | ||||
\(523\) | −4.94711 | + | 28.0565i | −0.216322 | + | 1.22682i | 0.662276 | + | 0.749260i | \(0.269591\pi\) |
−0.878598 | + | 0.477563i | \(0.841520\pi\) | |||||||
\(524\) | 8.41127 | − | 4.85625i | 0.367448 | − | 0.212146i | ||||
\(525\) | 0.354849 | + | 2.58331i | 0.0154869 | + | 0.112745i | ||||
\(526\) | −1.31785 | + | 1.57055i | −0.0574609 | + | 0.0684792i | ||||
\(527\) | −0.0509806 | + | 0.140068i | −0.00222075 | + | 0.00610146i | ||||
\(528\) | 2.32466 | + | 0.400537i | 0.101168 | + | 0.0174311i | ||||
\(529\) | −17.5351 | + | 14.7137i | −0.762396 | + | 0.639726i | ||||
\(530\) | 9.05040 | + | 9.43811i | 0.393124 | + | 0.409965i | ||||
\(531\) | −9.88710 | − | 16.8199i | −0.429063 | − | 0.729920i | ||||
\(532\) | −0.844717 | − | 1.00448i | −0.0366231 | − | 0.0435496i | ||||
\(533\) | −15.8380 | −0.686020 | ||||||||
\(534\) | 7.86569 | − | 21.8765i | 0.340381 | − | 0.946690i | ||||
\(535\) | −19.9659 | − | 5.80113i | −0.863200 | − | 0.250805i | ||||
\(536\) | −3.92574 | − | 10.7859i | −0.169566 | − | 0.465879i | ||||
\(537\) | −25.4456 | + | 21.5215i | −1.09806 | + | 0.928720i | ||||
\(538\) | −10.2411 | + | 12.2049i | −0.441525 | + | 0.526189i | ||||
\(539\) | −8.14928 | − | 4.70499i | −0.351014 | − | 0.202658i | ||||
\(540\) | −10.4845 | − | 5.00746i | −0.451182 | − | 0.215487i | ||||
\(541\) | 1.87963 | − | 10.6599i | 0.0808118 | − | 0.458306i | −0.917370 | − | 0.398035i | \(-0.869692\pi\) |
0.998182 | − | 0.0602715i | \(-0.0191966\pi\) | |||||||
\(542\) | 17.7656 | + | 3.13255i | 0.763097 | + | 0.134555i | ||||
\(543\) | 0.104913 | + | 26.8360i | 0.00450226 | + | 1.15164i | ||||
\(544\) | −0.0553414 | − | 0.0319514i | −0.00237274 | − | 0.00136990i | ||||
\(545\) | 2.95254 | − | 27.1727i | 0.126473 | − | 1.16395i | ||||
\(546\) | −1.20775 | + | 1.02150i | −0.0516870 | + | 0.0437160i | ||||
\(547\) | 42.1511 | − | 15.3418i | 1.80225 | − | 0.655966i | 0.804147 | − | 0.594431i | \(-0.202623\pi\) |
0.998105 | − | 0.0615348i | \(-0.0195995\pi\) | |||||||
\(548\) | −7.29033 | + | 6.11732i | −0.311428 | + | 0.261319i | ||||
\(549\) | −7.07745 | + | 6.03361i | −0.302058 | + | 0.257508i | ||||
\(550\) | 2.59523 | − | 6.29568i | 0.110661 | − | 0.268448i | ||||
\(551\) | 25.0578 | − | 21.0724i | 1.06750 | − | 0.897715i | ||||
\(552\) | −0.497563 | − | 0.284680i | −0.0211777 | − | 0.0121168i | ||||
\(553\) | −0.756135 | − | 4.28825i | −0.0321541 | − | 0.182355i | ||||
\(554\) | −0.792018 | + | 0.664582i | −0.0336496 | + | 0.0282354i | ||||
\(555\) | −5.11879 | − | 11.4848i | −0.217280 | − | 0.487501i | ||||
\(556\) | −12.1036 | − | 4.40534i | −0.513305 | − | 0.186828i | ||||
\(557\) | −28.6909 | − | 24.0745i | −1.21567 | − | 1.02007i | −0.999040 | − | 0.0438157i | \(-0.986049\pi\) |
−0.216631 | − | 0.976253i | \(-0.569507\pi\) | |||||||
\(558\) | 6.99749 | − | 0.0547132i | 0.296227 | − | 0.00231619i | ||||
\(559\) | 14.3520 | − | 8.28610i | 0.607023 | − | 0.350465i | ||||
\(560\) | 0.616023 | − | 0.271681i | 0.0260317 | − | 0.0114806i | ||||
\(561\) | 0.0964425 | − | 0.115852i | 0.00407180 | − | 0.00489129i | ||||
\(562\) | −13.5493 | + | 7.82272i | −0.571545 | + | 0.329981i | ||||
\(563\) | −33.9867 | − | 19.6222i | −1.43237 | − | 0.826978i | −0.435067 | − | 0.900398i | \(-0.643275\pi\) |
−0.997301 | + | 0.0734196i | \(0.976609\pi\) | |||||||
\(564\) | 1.56698 | − | 0.577283i | 0.0659819 | − | 0.0243080i | ||||
\(565\) | 5.84475 | + | 23.7980i | 0.245890 | + | 1.00119i | ||||
\(566\) | −7.27265 | + | 2.64703i | −0.305692 | + | 0.111263i | ||||
\(567\) | 2.66101 | − | 0.512236i | 0.111752 | − | 0.0215119i | ||||
\(568\) | −8.30847 | + | 1.46501i | −0.348615 | + | 0.0614703i | ||||
\(569\) | −19.4653 | −0.816026 | −0.408013 | − | 0.912976i | \(-0.633778\pi\) | ||||
−0.408013 | + | 0.912976i | \(0.633778\pi\) | |||||||
\(570\) | 1.73975 | − | 16.7921i | 0.0728703 | − | 0.703342i | ||||
\(571\) | −33.7349 | −1.41176 | −0.705880 | − | 0.708332i | \(-0.749448\pi\) | ||||
−0.705880 | + | 0.708332i | \(0.749448\pi\) | |||||||
\(572\) | 4.06810 | − | 0.717316i | 0.170096 | − | 0.0299925i | ||||
\(573\) | −7.43639 | + | 1.34123i | −0.310659 | + | 0.0560308i | ||||
\(574\) | −1.47742 | + | 0.537736i | −0.0616662 | + | 0.0224447i | ||||
\(575\) | −1.11591 | + | 1.22196i | −0.0465365 | + | 0.0509592i | ||||
\(576\) | −0.497829 | + | 2.95841i | −0.0207429 | + | 0.123267i | ||||
\(577\) | 39.1212 | + | 22.5866i | 1.62864 | + | 0.940294i | 0.984500 | + | 0.175384i | \(0.0561168\pi\) |
0.644137 | + | 0.764910i | \(0.277217\pi\) | |||||||
\(578\) | 14.7189 | − | 8.49796i | 0.612225 | − | 0.353468i | ||||
\(579\) | 25.1057 | + | 20.8995i | 1.04336 | + | 0.868552i | ||||
\(580\) | 6.77739 | + | 15.3674i | 0.281416 | + | 0.638095i | ||||
\(581\) | −0.312342 | + | 0.180331i | −0.0129581 | + | 0.00748137i | ||||
\(582\) | −10.4897 | + | 6.11101i | −0.434810 | + | 0.253309i | ||||
\(583\) | 6.10103 | + | 5.11937i | 0.252679 | + | 0.212023i | ||||
\(584\) | 9.48077 | + | 3.45072i | 0.392317 | + | 0.142792i | ||||
\(585\) | −20.2442 | − | 2.03968i | −0.836996 | − | 0.0843305i | ||||
\(586\) | 23.6322 | − | 19.8298i | 0.976237 | − | 0.819160i | ||||
\(587\) | −1.74499 | − | 9.89633i | −0.0720234 | − | 0.408465i | −0.999410 | − | 0.0343596i | \(-0.989061\pi\) |
0.927386 | − | 0.374106i | \(-0.122050\pi\) | |||||||
\(588\) | 5.94310 | − | 10.3873i | 0.245089 | − | 0.428366i | ||||
\(589\) | 3.48785 | + | 9.55047i | 0.143714 | + | 0.393520i | ||||
\(590\) | 8.08955 | + | 12.0846i | 0.333041 | + | 0.497516i | ||||
\(591\) | −30.0727 | − | 10.8126i | −1.23703 | − | 0.444772i | ||||
\(592\) | −2.48700 | + | 2.08684i | −0.102215 | + | 0.0857688i | ||||
\(593\) | 8.78941 | − | 3.19908i | 0.360938 | − | 0.131371i | −0.155184 | − | 0.987886i | \(-0.549597\pi\) |
0.516122 | + | 0.856515i | \(0.327375\pi\) | |||||||
\(594\) | −6.67790 | − | 2.34223i | −0.273998 | − | 0.0961031i | ||||
\(595\) | 0.00464755 | − | 0.0427721i | 0.000190531 | − | 0.00175349i | ||||
\(596\) | −14.0738 | − | 8.12553i | −0.576486 | − | 0.332834i | ||||
\(597\) | 7.84453 | − | 0.0306676i | 0.321055 | − | 0.00125514i | ||||
\(598\) | −0.988599 | − | 0.174317i | −0.0404268 | − | 0.00712834i | ||||
\(599\) | 0.282246 | − | 1.60070i | 0.0115323 | − | 0.0654028i | −0.978499 | − | 0.206254i | \(-0.933873\pi\) |
0.990031 | + | 0.140851i | \(0.0449839\pi\) | |||||||
\(600\) | 8.01949 | + | 3.26921i | 0.327394 | + | 0.133465i | ||||
\(601\) | −27.3240 | − | 15.7755i | −1.11457 | − | 0.643497i | −0.174561 | − | 0.984646i | \(-0.555851\pi\) |
−0.940009 | + | 0.341149i | \(0.889184\pi\) | |||||||
\(602\) | 1.05746 | − | 1.26023i | 0.0430989 | − | 0.0513633i | ||||
\(603\) | 6.24441 | + | 33.8634i | 0.254292 | + | 1.37902i | ||||
\(604\) | 4.14093 | + | 11.3771i | 0.168492 | + | 0.462928i | ||||
\(605\) | −5.70561 | + | 19.6371i | −0.231966 | + | 0.798363i | ||||
\(606\) | 21.2071 | + | 7.62501i | 0.861481 | + | 0.309745i | ||||
\(607\) | −35.4233 | −1.43779 | −0.718895 | − | 0.695119i | \(-0.755352\pi\) | ||||
−0.718895 | + | 0.695119i | \(0.755352\pi\) | |||||||
\(608\) | −4.29185 | + | 0.761580i | −0.174058 | + | 0.0308862i | ||||
\(609\) | −3.40001 | − | 1.94532i | −0.137775 | − | 0.0788281i | ||||
\(610\) | 5.00336 | − | 4.79782i | 0.202580 | − | 0.194258i | ||||
\(611\) | 2.24017 | − | 1.87973i | 0.0906277 | − | 0.0760457i | ||||
\(612\) | 0.147816 | + | 0.122076i | 0.00597511 | + | 0.00493462i | ||||
\(613\) | −3.55306 | + | 9.76196i | −0.143507 | + | 0.394282i | −0.990534 | − | 0.137268i | \(-0.956168\pi\) |
0.847027 | + | 0.531550i | \(0.178390\pi\) | |||||||
\(614\) | 4.49641 | − | 5.35862i | 0.181460 | − | 0.216256i | ||||
\(615\) | −18.1803 | − | 8.85824i | −0.733101 | − | 0.357199i | ||||
\(616\) | 0.355131 | − | 0.205035i | 0.0143086 | − | 0.00826108i | ||||
\(617\) | −4.72712 | + | 26.8088i | −0.190307 | + | 1.07928i | 0.728639 | + | 0.684898i | \(0.240153\pi\) |
−0.918946 | + | 0.394384i | \(0.870958\pi\) | |||||||
\(618\) | 16.2479 | − | 19.5180i | 0.653588 | − | 0.785129i | ||||
\(619\) | −20.8777 | − | 36.1613i | −0.839146 | − | 1.45344i | −0.890610 | − | 0.454769i | \(-0.849722\pi\) |
0.0514634 | − | 0.998675i | \(-0.483611\pi\) | |||||||
\(620\) | −5.20432 | + | 0.345549i | −0.209010 | + | 0.0138776i | ||||
\(621\) | 1.33027 | + | 1.08990i | 0.0533819 | + | 0.0437362i | ||||
\(622\) | −9.11406 | − | 3.31725i | −0.365440 | − | 0.133009i | ||||
\(623\) | −1.38221 | − | 3.79760i | −0.0553771 | − | 0.152147i | ||||
\(624\) | 0.932480 | + | 5.17008i | 0.0373291 | + | 0.206969i | ||||
\(625\) | 14.2698 | − | 20.5274i | 0.570790 | − | 0.821096i | ||||
\(626\) | −19.7851 | −0.790771 | ||||||||
\(627\) | −0.0513732 | − | 10.2822i | −0.00205165 | − | 0.410630i | ||||
\(628\) | 15.2035i | 0.606687i | ||||||||
\(629\) | 0.0360257 | + | 0.204312i | 0.00143644 | + | 0.00814645i | ||||
\(630\) | −1.95770 | + | 0.497070i | −0.0779965 | + | 0.0198037i | ||||
\(631\) | 39.1946 | − | 14.2657i | 1.56031 | − | 0.567907i | 0.589504 | − | 0.807765i | \(-0.299323\pi\) |
0.970808 | + | 0.239858i | \(0.0771010\pi\) | |||||||
\(632\) | −13.5897 | − | 4.94624i | −0.540569 | − | 0.196751i | ||||
\(633\) | −6.62639 | − | 17.9868i | −0.263375 | − | 0.714909i | ||||
\(634\) | −5.77521 | + | 10.0030i | −0.229363 | + | 0.397268i | ||||
\(635\) | 20.3389 | + | 10.0086i | 0.807126 | + | 0.397179i | ||||
\(636\) | −6.48028 | + | 7.78450i | −0.256960 | + | 0.308676i | ||||
\(637\) | 3.63911 | − | 20.6384i | 0.144187 | − | 0.817724i | ||||
\(638\) | 5.11482 | + | 8.85913i | 0.202498 | + | 0.350736i | ||||
\(639\) | 25.3091 | − | 0.197892i | 1.00121 | − | 0.00782847i | ||||
\(640\) | 0.241546 | − | 2.22298i | 0.00954793 | − | 0.0878711i | ||||
\(641\) | −5.88345 | − | 2.14140i | −0.232382 | − | 0.0845803i | 0.223204 | − | 0.974772i | \(-0.428348\pi\) |
−0.455587 | + | 0.890191i | \(0.650570\pi\) | |||||||
\(642\) | 2.73459 | − | 15.8712i | 0.107926 | − | 0.626387i | ||||
\(643\) | −21.6550 | − | 25.8074i | −0.853988 | − | 1.01774i | −0.999597 | − | 0.0284009i | \(-0.990958\pi\) |
0.145609 | − | 0.989342i | \(-0.453486\pi\) | |||||||
\(644\) | −0.0981380 | + | 0.0173044i | −0.00386718 | + | 0.000681888i | ||||
\(645\) | 21.1089 | − | 1.48447i | 0.831164 | − | 0.0584509i | ||||
\(646\) | −0.0949837 | + | 0.261851i | −0.00373708 | + | 0.0103024i | ||||
\(647\) | 8.85339 | 0.348063 | 0.174031 | − | 0.984740i | \(-0.444321\pi\) | ||||
0.174031 | + | 0.984740i | \(0.444321\pi\) | |||||||
\(648\) | 2.94556 | − | 8.50433i | 0.115712 | − | 0.334082i | ||||
\(649\) | 5.69336 | + | 6.78508i | 0.223484 | + | 0.266338i | ||||
\(650\) | 15.1522 | + | 0.635773i | 0.594319 | + | 0.0249371i | ||||
\(651\) | 0.928803 | − | 0.785566i | 0.0364027 | − | 0.0307888i | ||||
\(652\) | −1.07877 | + | 1.28563i | −0.0422479 | + | 0.0503491i | ||||
\(653\) | 0.213128 | − | 0.369148i | 0.00834034 | − | 0.0144459i | −0.861825 | − | 0.507206i | \(-0.830678\pi\) |
0.870165 | + | 0.492760i | \(0.164012\pi\) | |||||||
\(654\) | 21.1716 | − | 0.0827687i | 0.827874 | − | 0.00323651i | ||||
\(655\) | 19.8711 | − | 8.76365i | 0.776428 | − | 0.342424i | ||||
\(656\) | −0.906739 | + | 5.14237i | −0.0354022 | + | 0.200776i | ||||
\(657\) | −26.3301 | − | 14.9284i | −1.02724 | − | 0.582414i | ||||
\(658\) | 0.145149 | − | 0.251406i | 0.00565851 | − | 0.00980082i | ||||
\(659\) | −3.04626 | − | 2.55612i | −0.118665 | − | 0.0995721i | 0.581524 | − | 0.813529i | \(-0.302457\pi\) |
−0.700189 | + | 0.713957i | \(0.746901\pi\) | |||||||
\(660\) | 5.07094 | + | 1.45190i | 0.197386 | + | 0.0565151i | ||||
\(661\) | −8.53117 | − | 23.4392i | −0.331824 | − | 0.911679i | −0.987637 | − | 0.156756i | \(-0.949896\pi\) |
0.655813 | − | 0.754923i | \(-0.272326\pi\) | |||||||
\(662\) | −16.9215 | + | 14.1988i | −0.657672 | + | 0.551852i | ||||
\(663\) | 0.315914 | + | 0.113586i | 0.0122691 | + | 0.00441133i | ||||
\(664\) | 1.19783i | 0.0464847i | ||||||||
\(665\) | −1.63517 | − | 2.43697i | −0.0634090 | − | 0.0945017i | ||||
\(666\) | 8.39646 | − | 4.93563i | 0.325356 | − | 0.191252i | ||||
\(667\) | −0.431677 | − | 2.44816i | −0.0167146 | − | 0.0947932i | ||||
\(668\) | 8.58829 | + | 10.2351i | 0.332291 | + | 0.396009i | ||||
\(669\) | −3.57530 | + | 20.7506i | −0.138229 | + | 0.802264i | ||||
\(670\) | −6.12157 | − | 24.9251i | −0.236497 | − | 0.962940i | ||||
\(671\) | 2.71390 | − | 3.23430i | 0.104769 | − | 0.124859i | ||||
\(672\) | 0.262521 | + | 0.450621i | 0.0101270 | + | 0.0173831i | ||||
\(673\) | −23.7354 | − | 41.1110i | −0.914933 | − | 1.58471i | −0.806999 | − | 0.590553i | \(-0.798910\pi\) |
−0.107935 | − | 0.994158i | \(-0.534424\pi\) | |||||||
\(674\) | −3.93471 | − | 0.693795i | −0.151559 | − | 0.0267240i | ||||
\(675\) | −22.0974 | − | 13.6640i | −0.850530 | − | 0.525927i | ||||
\(676\) | −1.90012 | − | 3.29111i | −0.0730816 | − | 0.126581i | ||||
\(677\) | −16.7209 | − | 9.65384i | −0.642638 | − | 0.371027i | 0.142992 | − | 0.989724i | \(-0.454328\pi\) |
−0.785630 | + | 0.618697i | \(0.787661\pi\) | |||||||
\(678\) | −17.8114 | + | 6.56178i | −0.684042 | + | 0.252004i | ||||
\(679\) | −0.721791 | + | 1.98311i | −0.0276998 | + | 0.0761046i | ||||
\(680\) | −0.115305 | − | 0.0843949i | −0.00442176 | − | 0.00323639i | ||||
\(681\) | −42.1881 | + | 7.60908i | −1.61665 | + | 0.291580i | ||||
\(682\) | −3.12851 | + | 0.551641i | −0.119797 | + | 0.0211234i | ||||
\(683\) | 23.7348i | 0.908186i | 0.890954 | + | 0.454093i | \(0.150037\pi\) | ||||
−0.890954 | + | 0.454093i | \(0.849963\pi\) | |||||||
\(684\) | 13.0762 | − | 0.116456i | 0.499980 | − | 0.00445280i | ||||
\(685\) | −17.6839 | + | 11.8377i | −0.675667 | + | 0.452297i | ||||
\(686\) | −0.727247 | − | 4.12442i | −0.0277664 | − | 0.157471i | ||||
\(687\) | 1.63306 | + | 9.05442i | 0.0623052 | + | 0.345448i | ||||
\(688\) | −1.86872 | − | 5.13426i | −0.0712442 | − | 0.195742i | ||||
\(689\) | −6.06649 | + | 16.6675i | −0.231115 | + | 0.634982i | ||||
\(690\) | −1.03731 | − | 0.753023i | −0.0394897 | − | 0.0286671i | ||||
\(691\) | −6.88252 | + | 11.9209i | −0.261823 | + | 0.453491i | −0.966726 | − | 0.255812i | \(-0.917657\pi\) |
0.704903 | + | 0.709304i | \(0.250990\pi\) | |||||||
\(692\) | 8.13999 | − | 4.69963i | 0.309436 | − | 0.178653i | ||||
\(693\) | −1.15269 | + | 0.429782i | −0.0437872 | + | 0.0163261i | ||||
\(694\) | 13.7846 | + | 2.43059i | 0.523255 | + | 0.0922640i | ||||
\(695\) | −25.8419 | − | 12.7166i | −0.980240 | − | 0.482366i | ||||
\(696\) | −11.2413 | + | 6.54887i | −0.426099 | + | 0.248234i | ||||
\(697\) | 0.255615 | + | 0.214486i | 0.00968209 | + | 0.00812424i | ||||
\(698\) | 2.35380 | − | 6.46702i | 0.0890927 | − | 0.244780i | ||||
\(699\) | −4.22531 | + | 24.5231i | −0.159816 | + | 0.927550i | ||||
\(700\) | 1.43503 | − | 0.455145i | 0.0542391 | − | 0.0172029i | ||||
\(701\) | −37.8763 | + | 6.67861i | −1.43057 | + | 0.252248i | −0.834642 | − | 0.550793i | \(-0.814326\pi\) |
−0.595925 | + | 0.803040i | \(0.703214\pi\) | |||||||
\(702\) | −0.184839 | − | 15.7594i | −0.00697628 | − | 0.594801i | ||||
\(703\) | 10.8505 | + | 9.08456i | 0.409234 | + | 0.342630i | ||||
\(704\) | − | 1.36192i | − | 0.0513294i | ||||||
\(705\) | 3.62282 | − | 0.904792i | 0.136443 | − | 0.0340764i | ||||
\(706\) | 10.2380 | + | 12.2012i | 0.385312 | + | 0.459196i | ||||
\(707\) | 3.68140 | − | 1.33992i | 0.138453 | − | 0.0503928i | ||||
\(708\) | −8.60068 | + | 7.27432i | −0.323233 | + | 0.273386i | ||||
\(709\) | −16.6759 | − | 13.9928i | −0.626277 | − | 0.525509i | 0.273492 | − | 0.961874i | \(-0.411821\pi\) |
−0.899770 | + | 0.436365i | \(0.856266\pi\) | |||||||
\(710\) | −18.8234 | + | 1.24981i | −0.706431 | + | 0.0469046i | ||||
\(711\) | 37.7414 | + | 21.3983i | 1.41541 | + | 0.802500i | ||||
\(712\) | −13.2181 | − | 2.33071i | −0.495369 | − | 0.0873470i | ||||
\(713\) | 0.760267 | + | 0.134056i | 0.0284722 | + | 0.00502042i | ||||
\(714\) | 0.0333259 | 0.000130285i | 0.00124719 | 4.87580e-6i | ||||||
\(715\) | 9.21659 | − | 0.611949i | 0.344681 | − | 0.0228856i | ||||
\(716\) | 14.7395 | + | 12.3679i | 0.550841 | + | 0.462210i | ||||
\(717\) | −11.4809 | − | 13.5742i | −0.428761 | − | 0.506939i | ||||
\(718\) | 20.2171 | − | 7.35844i | 0.754497 | − | 0.274614i | ||||
\(719\) | 21.3466 | + | 25.4399i | 0.796094 | + | 0.948748i | 0.999540 | − | 0.0303382i | \(-0.00965843\pi\) |
−0.203446 | + | 0.979086i | \(0.565214\pi\) | |||||||
\(720\) | −1.82126 | + | 6.45624i | −0.0678742 | + | 0.240610i | ||||
\(721\) | − | 4.41476i | − | 0.164414i | ||||||
\(722\) | 6.53718 | + | 17.8400i | 0.243289 | + | 0.663936i | ||||
\(723\) | −8.41724 | − | 4.81592i | −0.313041 | − | 0.179106i | ||||
\(724\) | 15.2585 | − | 2.69048i | 0.567077 | − | 0.0999910i | ||||
\(725\) | 11.3541 | + | 35.7985i | 0.421681 | + | 1.32952i | ||||
\(726\) | −15.6099 | − | 2.68956i | −0.579337 | − | 0.0998191i | ||||
\(727\) | 11.6972 | − | 32.1379i | 0.433827 | − | 1.19193i | −0.509618 | − | 0.860401i | \(-0.670213\pi\) |
0.943445 | − | 0.331529i | \(-0.107564\pi\) | |||||||
\(728\) | 0.699596 | + | 0.587031i | 0.0259288 | + | 0.0217568i | ||||
\(729\) | −12.9479 | + | 23.6929i | −0.479550 | + | 0.877514i | ||||
\(730\) | 20.2421 | + | 9.96093i | 0.749194 | + | 0.368671i | ||||
\(731\) | −0.343845 | − | 0.0606292i | −0.0127176 | − | 0.00224245i | ||||
\(732\) | 4.12674 | + | 3.43535i | 0.152529 | + | 0.126974i | ||||
\(733\) | 43.0329 | − | 24.8451i | 1.58946 | − | 0.917673i | 0.596061 | − | 0.802939i | \(-0.296732\pi\) |
0.993396 | − | 0.114734i | \(-0.0366016\pi\) | |||||||
\(734\) | −1.11793 | + | 1.93631i | −0.0412635 | + | 0.0714705i | ||||
\(735\) | 15.7204 | − | 21.6553i | 0.579857 | − | 0.798769i | ||||
\(736\) | −0.113196 | + | 0.311004i | −0.00417247 | + | 0.0114638i | ||||
\(737\) | −5.34655 | − | 14.6895i | −0.196943 | − | 0.541096i | ||||
\(738\) | 5.24252 | − | 14.7618i | 0.192980 | − | 0.543390i | ||||
\(739\) | 3.87529 | + | 21.9779i | 0.142555 | + | 0.808469i | 0.969298 | + | 0.245889i | \(0.0790800\pi\) |
−0.826743 | + | 0.562580i | \(0.809809\pi\) | |||||||
\(740\) | −6.03264 | + | 4.03830i | −0.221764 | + | 0.148451i | ||||
\(741\) | 21.4791 | − | 7.93950i | 0.789053 | − | 0.291665i | ||||
\(742\) | 1.76077i | 0.0646399i | ||||||||
\(743\) | 29.8429 | − | 5.26211i | 1.09483 | − | 0.193048i | 0.403065 | − | 0.915171i | \(-0.367945\pi\) |
0.691765 | + | 0.722123i | \(0.256834\pi\) | |||||||
\(744\) | −0.717109 | − | 3.97597i | −0.0262905 | − | 0.145766i | ||||
\(745\) | −29.3232 | − | 21.4624i | −1.07432 | − | 0.786321i | ||||
\(746\) | −5.80836 | + | 15.9583i | −0.212659 | + | 0.584277i | ||||
\(747\) | 0.596312 | − | 3.54366i | 0.0218179 | − | 0.129656i | ||||
\(748\) | −0.0753706 | − | 0.0435153i | −0.00275582 | − | 0.00159108i | ||||
\(749\) | −1.39984 | − | 2.42459i | −0.0511489 | − | 0.0885925i | ||||
\(750\) | 17.0375 | + | 9.20448i | 0.622123 | + | 0.336100i | ||||
\(751\) | 19.0123 | + | 3.35237i | 0.693767 | + | 0.122330i | 0.509403 | − | 0.860528i | \(-0.329866\pi\) |
0.184364 | + | 0.982858i | \(0.440977\pi\) | |||||||
\(752\) | −0.482069 | − | 0.834969i | −0.0175793 | − | 0.0304482i | ||||
\(753\) | 7.74177 | − | 4.51016i | 0.282126 | − | 0.164359i | ||||
\(754\) | −14.6441 | + | 17.4522i | −0.533308 | + | 0.635572i | ||||
\(755\) | 6.45713 | + | 26.2914i | 0.234999 | + | 0.956840i | ||||
\(756\) | −0.552310 | − | 1.46381i | −0.0200873 | − | 0.0532383i | ||||
\(757\) | 18.8437 | + | 22.4570i | 0.684886 | + | 0.816215i | 0.990727 | − | 0.135868i | \(-0.0433822\pi\) |
−0.305841 | + | 0.952082i | \(0.598938\pi\) | |||||||
\(758\) | 5.49306 | + | 31.1527i | 0.199517 | + | 1.13152i | ||||
\(759\) | −0.677641 | − | 0.387712i | −0.0245968 | − | 0.0140731i | ||||
\(760\) | −9.72467 | + | 0.656302i | −0.352751 | + | 0.0238066i | ||||
\(761\) | 5.20717i | 0.188760i | 0.995536 | + | 0.0943799i | \(0.0300868\pi\) | ||||
−0.995536 | + | 0.0943799i | \(0.969913\pi\) | |||||||
\(762\) | −5.94086 | + | 16.5231i | −0.215215 | + | 0.598568i | ||||
\(763\) | 2.81939 | − | 2.36575i | 0.102069 | − | 0.0856458i | ||||
\(764\) | 1.49212 | + | 4.09957i | 0.0539831 | + | 0.148317i | ||||
\(765\) | 0.299106 | + | 0.307077i | 0.0108142 | + | 0.0111024i | ||||
\(766\) | 4.66711 | + | 3.91617i | 0.168629 | + | 0.141497i | ||||
\(767\) | −9.86295 | + | 17.0831i | −0.356131 | + | 0.616836i | ||||
\(768\) | 1.73204 | − | 0.00677128i | 0.0624995 | − | 0.000244337i | ||||
\(769\) | 1.80555 | − | 10.2398i | 0.0651097 | − | 0.369256i | −0.934791 | − | 0.355197i | \(-0.884414\pi\) |
0.999901 | − | 0.0140585i | \(-0.00447511\pi\) | |||||||
\(770\) | 0.838975 | − | 0.370009i | 0.0302345 | − | 0.0133342i | ||||
\(771\) | 0.194151 | + | 49.6622i | 0.00699217 | + | 1.78854i | ||||
\(772\) | 9.42993 | − | 16.3331i | 0.339390 | − | 0.587842i | ||||
\(773\) | −12.1616 | + | 14.4936i | −0.437421 | + | 0.521298i | −0.939048 | − | 0.343786i | \(-0.888290\pi\) |
0.501627 | + | 0.865084i | \(0.332735\pi\) | |||||||
\(774\) | 2.97244 | + | 16.1195i | 0.106842 | + | 0.579405i | ||||
\(775\) | −11.6526 | − | 0.488932i | −0.418573 | − | 0.0175629i | ||||
\(776\) | 4.50529 | + | 5.36919i | 0.161730 | + | 0.192743i | ||||
\(777\) | 0.572858 | − | 1.59327i | 0.0205512 | − | 0.0571581i | ||||
\(778\) | 16.6471 | 0.596826 | ||||||||
\(779\) | 22.7609 | − | 0.0247387i | 0.815492 | − | 0.000886355i | ||||
\(780\) | 0.824076 | + | 11.7182i | 0.0295067 | + | 0.419580i | ||||
\(781\) | −11.3155 | + | 1.99522i | −0.404900 | + | 0.0713947i | ||||
\(782\) | 0.0135946 | + | 0.0162015i | 0.000486143 | + | 0.000579363i | ||||
\(783\) | 36.5164 | − | 13.7780i | 1.30499 | − | 0.492385i | ||||
\(784\) | −6.49266 | − | 2.36313i | −0.231881 | − | 0.0843976i | ||||
\(785\) | −3.67235 | + | 33.7972i | −0.131072 | + | 1.20627i | ||||
\(786\) | 8.46816 | + | 14.5357i | 0.302049 | + | 0.518473i | ||||
\(787\) | 3.81152 | + | 6.60175i | 0.135866 | + | 0.235327i | 0.925928 | − | 0.377700i | \(-0.123285\pi\) |
−0.790062 | + | 0.613027i | \(0.789952\pi\) | |||||||
\(788\) | −3.20393 | + | 18.1704i | −0.114135 | + | 0.647292i | ||||
\(789\) | −2.72917 | − | 2.27193i | −0.0971611 | − | 0.0808827i | ||||
\(790\) | −29.0149 | − | 14.2779i | −1.03230 | − | 0.507987i | ||||
\(791\) | −1.64986 | + | 2.85765i | −0.0586624 | + | 0.101606i | ||||
\(792\) | −0.678004 | + | 4.02912i | −0.0240918 | + | 0.143168i | ||||
\(793\) | 8.83584 | + | 3.21598i | 0.313770 | + | 0.114203i | ||||
\(794\) | −29.9576 | + | 10.9037i | −1.06315 | + | 0.386957i | ||||
\(795\) | −16.2859 | + | 15.7395i | −0.577600 | + | 0.558224i | ||||
\(796\) | −0.786466 | − | 4.46027i | −0.0278755 | − | 0.158090i | ||||
\(797\) | 9.62716i | 0.341011i | 0.985357 | + | 0.170506i | \(0.0545401\pi\) | ||||
−0.985357 | + | 0.170506i | \(0.945460\pi\) | |||||||
\(798\) | 1.73407 | − | 1.46988i | 0.0613854 | − | 0.0520333i | ||||
\(799\) | −0.0616111 | −0.00217964 | ||||||||
\(800\) | 1.07390 | − | 4.88331i | 0.0379682 | − | 0.172651i | ||||
\(801\) | 37.9442 | + | 13.4755i | 1.34069 | + | 0.476134i | ||||
\(802\) | 12.5306 | + | 34.4276i | 0.442472 | + | 1.21568i | ||||
\(803\) | 12.9121 | + | 4.69961i | 0.455657 | + | 0.165846i | ||||
\(804\) | 18.6550 | − | 6.87256i | 0.657910 | − | 0.242377i | ||||
\(805\) | −0.222339 | + | 0.0147625i | −0.00783642 | + | 0.000520311i | ||||
\(806\) | −3.53747 | − | 6.12707i | −0.124602 | − | 0.215817i | ||||
\(807\) | −21.2086 | − | 17.6553i | −0.746579 | − | 0.621497i | ||||
\(808\) | 2.25939 | − | 12.8137i | 0.0794852 | − | 0.450783i | ||||
\(809\) | −31.5002 | + | 18.1866i | −1.10749 | + | 0.639409i | −0.938178 | − | 0.346154i | \(-0.887487\pi\) |
−0.169310 | + | 0.985563i | \(0.554154\pi\) | |||||||
\(810\) | 8.60211 | − | 18.1935i | 0.302247 | − | 0.639255i | ||||
\(811\) | 34.8980 | − | 41.5898i | 1.22543 | − | 1.46042i | 0.381156 | − | 0.924511i | \(-0.375526\pi\) |
0.844278 | − | 0.535905i | \(-0.180030\pi\) | |||||||
\(812\) | −0.773508 | + | 2.12520i | −0.0271448 | + | 0.0745798i | ||||
\(813\) | −5.30540 | + | 30.7919i | −0.186069 | + | 1.07992i | ||||
\(814\) | −3.38710 | + | 2.84212i | −0.118718 | + | 0.0996162i | ||||
\(815\) | −2.70862 | + | 2.59736i | −0.0948790 | + | 0.0909814i | ||||
\(816\) | 0.0549662 | − | 0.0960697i | 0.00192420 | − | 0.00336311i | ||||
\(817\) | −20.6123 | + | 11.9304i | −0.721133 | + | 0.417392i | ||||
\(818\) | 16.3169 | 0.570507 | ||||||||
\(819\) | −1.77745 | − | 2.08495i | −0.0621091 | − | 0.0728542i | ||||
\(820\) | −3.25778 | + | 11.2124i | −0.113767 | + | 0.391554i | ||||
\(821\) | −8.44787 | − | 23.2103i | −0.294833 | − | 0.810046i | −0.995342 | − | 0.0964030i | \(-0.969266\pi\) |
0.700510 | − | 0.713643i | \(-0.252956\pi\) | |||||||
\(822\) | −10.6448 | − | 12.5857i | −0.371280 | − | 0.438977i | ||||
\(823\) | −9.78343 | + | 11.6594i | −0.341029 | + | 0.406422i | −0.909114 | − | 0.416547i | \(-0.863240\pi\) |
0.568085 | + | 0.822970i | \(0.307684\pi\) | |||||||
\(824\) | −12.6979 | − | 7.33114i | −0.442352 | − | 0.255392i | ||||
\(825\) | 10.9219 | + | 4.45241i | 0.380252 | + | 0.155013i | ||||
\(826\) | −0.340035 | + | 1.92844i | −0.0118313 | + | 0.0670989i | ||||
\(827\) | 41.6855 | + | 7.35028i | 1.44955 | + | 0.255594i | 0.842339 | − | 0.538948i | \(-0.181178\pi\) |
0.607209 | + | 0.794542i | \(0.292289\pi\) | |||||||
\(828\) | 0.489708 | − | 0.863725i | 0.0170185 | − | 0.0300165i | ||||
\(829\) | 34.0137 | + | 19.6378i | 1.18135 | + | 0.682050i | 0.956326 | − | 0.292304i | \(-0.0944218\pi\) |
0.225021 | + | 0.974354i | \(0.427755\pi\) | |||||||
\(830\) | −0.289330 | + | 2.66275i | −0.0100428 | + | 0.0924254i | ||||
\(831\) | −1.15644 | − | 1.36731i | −0.0401166 | − | 0.0474313i | ||||
\(832\) | 2.85019 | − | 1.03738i | 0.0988126 | − | 0.0359648i | ||||
\(833\) | −0.338228 | + | 0.283807i | −0.0117189 | + | 0.00983334i | ||||
\(834\) | 7.54825 | − | 20.9937i | 0.261375 | − | 0.726951i | ||||
\(835\) | 16.6194 | + | 24.8270i | 0.575137 | + | 0.859173i | ||||
\(836\) | −5.84517 | + | 1.03721i | −0.202159 | + | 0.0358727i | ||||
\(837\) | 0.142147 | + | 12.1195i | 0.00491333 | + | 0.418913i | ||||
\(838\) | 2.81772 | + | 15.9801i | 0.0973367 | + | 0.552024i | ||||
\(839\) | 28.5137 | − | 23.9258i | 0.984403 | − | 0.826012i | −0.000345029 | − | 1.00000i | \(-0.500110\pi\) |
0.984748 | + | 0.173988i | \(0.0556654\pi\) | |||||||
\(840\) | 0.474733 | + | 1.06513i | 0.0163799 | + | 0.0367506i | ||||
\(841\) | −25.7643 | − | 9.37744i | −0.888425 | − | 0.323360i | ||||
\(842\) | −2.75851 | − | 2.31467i | −0.0950647 | − | 0.0797688i | ||||
\(843\) | −13.6410 | − | 23.4150i | −0.469821 | − | 0.806456i | ||||
\(844\) | −9.58426 | + | 5.53348i | −0.329904 | + | 0.190470i | ||||
\(845\) | −3.42898 | − | 7.77504i | −0.117961 | − | 0.267469i | ||||
\(846\) | 1.01049 | + | 2.71016i | 0.0347412 | + | 0.0931774i | ||||
\(847\) | −2.38467 | + | 1.37679i | −0.0819381 | + | 0.0473070i | ||||
\(848\) | 5.06440 | + | 2.92393i | 0.173912 | + | 0.100408i | ||||
\(849\) | −4.63399 | − | 12.5786i | −0.159038 | − | 0.431695i | ||||
\(850\) | −0.235937 | − | 0.215460i | −0.00809256 | − | 0.00739021i | ||||
\(851\) | 1.00969 | − | 0.367498i | 0.0346118 | − | 0.0125977i | ||||
\(852\) | −2.59371 | − | 14.3807i | −0.0888589 | − | 0.492673i | ||||
\(853\) | 24.8551 | − | 4.38262i | 0.851021 | − | 0.150058i | 0.268908 | − | 0.963166i | \(-0.413337\pi\) |
0.582113 | + | 0.813108i | \(0.302226\pi\) | |||||||
\(854\) | 0.933424 | 0.0319411 | ||||||||
\(855\) | 29.0963 | + | 2.89962i | 0.995071 | + | 0.0991648i | ||||
\(856\) | −9.29827 | −0.317808 | ||||||||
\(857\) | −17.2684 | + | 3.04489i | −0.589879 | + | 0.104012i | −0.460617 | − | 0.887599i | \(-0.652372\pi\) |
−0.129262 | + | 0.991611i | \(0.541261\pi\) | |||||||
\(858\) | 1.26996 | + | 7.04125i | 0.0433559 | + | 0.240384i | ||||
\(859\) | 15.2743 | − | 5.55938i | 0.521151 | − | 0.189684i | −0.0680318 | − | 0.997683i | \(-0.521672\pi\) |
0.589183 | + | 0.808000i | \(0.299450\pi\) | |||||||
\(860\) | −2.91397 | − | 11.8648i | −0.0993656 | − | 0.404585i | ||||
\(861\) | −0.941383 | − | 2.55530i | −0.0320822 | − | 0.0870844i | ||||
\(862\) | 0.563612 | + | 0.325402i | 0.0191967 | + | 0.0110832i | ||||
\(863\) | 19.6081 | − | 11.3208i | 0.667469 | − | 0.385363i | −0.127648 | − | 0.991820i | \(-0.540743\pi\) |
0.795117 | + | 0.606456i | \(0.207409\pi\) | |||||||
\(864\) | −5.12744 | − | 0.842226i | −0.174439 | − | 0.0286531i | ||||
\(865\) | 19.2302 | − | 8.48101i | 0.653848 | − | 0.288363i | ||||
\(866\) | 1.92261 | − | 1.11002i | 0.0653329 | − | 0.0377200i | ||||
\(867\) | 14.8184 | + | 25.4361i | 0.503261 | + | 0.863857i | ||||
\(868\) | −0.538014 | − | 0.451447i | −0.0182614 | − | 0.0153231i | ||||
\(869\) | −18.5081 | − | 6.73639i | −0.627844 | − | 0.228517i | ||||
\(870\) | −26.5710 | + | 11.8428i | −0.900840 | + | 0.401507i | ||||
\(871\) | 26.6693 | − | 22.3782i | 0.903655 | − | 0.758257i | ||||
\(872\) | −2.12259 | − | 12.0378i | −0.0718799 | − | 0.407651i | ||||
\(873\) | −10.6555 | − | 18.1271i | −0.360635 | − | 0.613510i | ||||
\(874\) | 1.42099 | + | 0.248967i | 0.0480658 | + | 0.00842144i | ||||
\(875\) | 3.29999 | − | 0.665155i | 0.111560 | − | 0.0224863i | ||||
\(876\) | −5.91258 | + | 16.4444i | −0.199768 | + | 0.555605i | ||||
\(877\) | −0.184200 | + | 0.154562i | −0.00621998 | + | 0.00521918i | −0.645892 | − | 0.763429i | \(-0.723515\pi\) |
0.639672 | + | 0.768648i | \(0.279070\pi\) | |||||||
\(878\) | 1.56337 | − | 0.569021i | 0.0527612 | − | 0.0192035i | ||||
\(879\) | 34.5059 | + | 40.7976i | 1.16386 | + | 1.37607i | ||||
\(880\) | 0.328966 | − | 3.02753i | 0.0110895 | − | 0.102058i | ||||
\(881\) | 38.9467 | + | 22.4859i | 1.31215 | + | 0.757568i | 0.982451 | − | 0.186519i | \(-0.0597207\pi\) |
0.329695 | + | 0.944087i | \(0.393054\pi\) | |||||||
\(882\) | 18.0315 | + | 10.2233i | 0.607151 | + | 0.344238i | ||||
\(883\) | 1.92621 | + | 0.339643i | 0.0648221 | + | 0.0114299i | 0.205965 | − | 0.978559i | \(-0.433967\pi\) |
−0.141143 | + | 0.989989i | \(0.545078\pi\) | |||||||
\(884\) | 0.0336572 | − | 0.190879i | 0.00113201 | − | 0.00641997i | ||||
\(885\) | −20.8763 | + | 14.0932i | −0.701748 | + | 0.473739i | ||||
\(886\) | −29.5506 | − | 17.0610i | −0.992770 | − | 0.573176i | ||||
\(887\) | 19.0223 | − | 22.6699i | 0.638706 | − | 0.761180i | −0.345459 | − | 0.938434i | \(-0.612277\pi\) |
0.984165 | + | 0.177253i | \(0.0567212\pi\) | |||||||
\(888\) | −3.63133 | − | 4.29345i | −0.121860 | − | 0.144079i | ||||
\(889\) | 1.04397 | + | 2.86828i | 0.0350136 | + | 0.0961991i | ||||
\(890\) | −28.8206 | − | 8.37390i | −0.966070 | − | 0.280694i | ||||
\(891\) | 4.01162 | − | 11.5822i | 0.134394 | − | 0.388019i | ||||
\(892\) | 12.1569 | 0.407043 | ||||||||
\(893\) | −3.21643 | + | 2.70487i | −0.107634 | + | 0.0905149i | ||||
\(894\) | 13.9784 | − | 24.4314i | 0.467508 | − | 0.817109i | ||||
\(895\) | 29.7782 | + | 31.0539i | 0.995377 | + | 1.03802i | ||||
\(896\) | 0.230653 | − | 0.193541i | 0.00770558 | − | 0.00646575i | ||||
\(897\) | 0.295229 | − | 1.71347i | 0.00985741 | − | 0.0572112i | ||||
\(898\) | 13.4923 | − | 37.0699i | 0.450245 | − | 1.23704i | ||||
\(899\) | 11.2618 | − | 13.4213i | 0.375604 | − | 0.447627i | ||||
\(900\) | −5.60810 | + | 13.9122i | −0.186937 | + | 0.463740i | ||||
\(901\) | 0.323629 | − | 0.186847i | 0.0107816 | − | 0.00622479i | ||||
\(902\) | −1.23491 | + | 7.00351i | −0.0411179 | + | 0.233191i | ||||
\(903\) | 2.18993 | + | 1.82303i | 0.0728764 | + | 0.0606667i | ||||
\(904\) | 5.47952 | + | 9.49081i | 0.182246 | + | 0.315660i | ||||
\(905\) | 34.5692 | − | 2.29528i | 1.14912 | − | 0.0762976i | ||||
\(906\) | −19.6775 | + | 7.24928i | −0.653743 | + | 0.240841i | ||||
\(907\) | −50.0874 | − | 18.2303i | −1.66313 | − | 0.605328i | −0.672276 | − | 0.740300i | \(-0.734683\pi\) |
−0.990849 | + | 0.134972i | \(0.956906\pi\) | |||||||
\(908\) | 8.46510 | + | 23.2577i | 0.280924 | + | 0.771833i | ||||
\(909\) | −13.0632 | + | 36.7832i | −0.433279 | + | 1.22002i | ||||
\(910\) | 1.41340 | + | 1.47394i | 0.0468536 | + | 0.0488608i | ||||
\(911\) | −33.9996 | −1.12646 | −0.563229 | − | 0.826301i | \(-0.690441\pi\) | ||||
−0.563229 | + | 0.826301i | \(0.690441\pi\) | |||||||
\(912\) | −1.34815 | − | 7.42849i | −0.0446416 | − | 0.245982i | ||||
\(913\) | 1.63135i | 0.0539897i | ||||||||
\(914\) | −3.61675 | − | 20.5116i | −0.119632 | − | 0.678464i | ||||
\(915\) | 8.34389 | + | 8.63352i | 0.275841 | + | 0.285415i | ||||
\(916\) | 4.99157 | − | 1.81678i | 0.164926 | − | 0.0600282i | ||||
\(917\) | 2.74803 | + | 1.00020i | 0.0907480 | + | 0.0330296i | ||||
\(918\) | −0.210439 | + | 0.256850i | −0.00694551 | + | 0.00847730i | ||||
\(919\) | 29.6548 | − | 51.3636i | 0.978221 | − | 1.69433i | 0.309355 | − | 0.950947i | \(-0.399887\pi\) |
0.668866 | − | 0.743383i | \(-0.266780\pi\) | |||||||
\(920\) | −0.326755 | + | 0.664015i | −0.0107728 | + | 0.0218919i | ||||
\(921\) | 9.31177 | + | 7.75167i | 0.306833 | + | 0.255426i | ||||
\(922\) | 1.76583 | − | 10.0145i | 0.0581546 | − | 0.329811i | ||||
\(923\) | −12.7946 | − | 22.1609i | −0.421140 | − | 0.729436i | ||||
\(924\) | 0.357533 | + | 0.613711i | 0.0117620 | + | 0.0201896i | ||||
\(925\) | −14.3859 | + | 7.51991i | −0.473005 | + | 0.247253i | ||||
\(926\) | 22.9365 | + | 8.34819i | 0.753739 | + | 0.274339i | ||||
\(927\) | 33.9159 | + | 28.0099i | 1.11394 | + | 0.919965i | ||||
\(928\) | 4.82809 | + | 5.75390i | 0.158490 | + | 0.188881i | ||||
\(929\) | 13.9625 | − | 2.46197i | 0.458095 | − | 0.0807746i | 0.0601614 | − | 0.998189i | \(-0.480838\pi\) |
0.397934 | + | 0.917414i | \(0.369727\pi\) | |||||||
\(930\) | −0.633743 | − | 9.01174i | −0.0207813 | − | 0.295506i | ||||
\(931\) | −5.19754 | + | 29.6652i | −0.170343 | + | 0.972239i | ||||
\(932\) | 14.3671 | 0.470609 | ||||||||
\(933\) | 5.68388 | − | 15.8084i | 0.186082 | − | 0.517542i | ||||
\(934\) | −5.86402 | − | 6.98847i | −0.191877 | − | 0.228670i | ||||
\(935\) | −0.157037 | − | 0.114939i | −0.00513565 | − | 0.00375891i | ||||
\(936\) | −8.94846 | + | 1.65010i | −0.292490 | + | 0.0539352i | ||||
\(937\) | −12.0682 | + | 14.3824i | −0.394252 | + | 0.469852i | −0.926258 | − | 0.376889i | \(-0.876994\pi\) |
0.532006 | + | 0.846740i | \(0.321438\pi\) | |||||||
\(938\) | 1.72801 | − | 2.99299i | 0.0564214 | − | 0.0977247i | ||||
\(939\) | −0.133970 | − | 34.2685i | −0.00437195 | − | 1.11831i | ||||
\(940\) | −0.869949 | − | 1.97256i | −0.0283746 | − | 0.0643379i | ||||
\(941\) | −1.44831 | + | 8.21380i | −0.0472137 | + | 0.267762i | −0.999272 | − | 0.0381549i | \(-0.987852\pi\) |
0.952058 | + | 0.305917i | \(0.0989631\pi\) | |||||||
\(942\) | −26.3331 | + | 0.102947i | −0.857979 | + | 0.00335421i | ||||
\(943\) | 0.864097 | − | 1.49666i | 0.0281389 | − | 0.0487380i | ||||
\(944\) | 4.98199 | + | 4.18038i | 0.162150 | + | 0.136060i | ||||
\(945\) | −0.874199 | − | 3.38744i | −0.0284377 | − | 0.110193i | ||||
\(946\) | −2.54505 | − | 6.99246i | −0.0827466 | − | 0.227344i | ||||
\(947\) | 4.56951 | − | 3.83427i | 0.148489 | − | 0.124597i | −0.565517 | − | 0.824737i | \(-0.691323\pi\) |
0.714006 | + | 0.700140i | \(0.246879\pi\) | |||||||
\(948\) | 8.47506 | − | 23.5713i | 0.275257 | − | 0.765562i | ||||
\(949\) | 30.6017i | 0.993375i | ||||||||
\(950\) | −21.7763 | − | 0.890005i | −0.706517 | − | 0.0288756i | ||||
\(951\) | −17.3646 | − | 9.93515i | −0.563086 | − | 0.322169i | ||||
\(952\) | −0.00334114 | − | 0.0189486i | −0.000108287 | − | 0.000614126i | ||||
\(953\) | 36.0155 | + | 42.9217i | 1.16666 | + | 1.39037i | 0.905110 | + | 0.425178i | \(0.139789\pi\) |
0.261548 | + | 0.965190i | \(0.415767\pi\) | |||||||
\(954\) | −13.5269 | − | 11.1714i | −0.437951 | − | 0.361687i | ||||
\(955\) | 2.32673 | + | 9.47370i | 0.0752912 | + | 0.306562i | ||||
\(956\) | −6.59779 | + | 7.86294i | −0.213388 | + | 0.254306i | ||||
\(957\) | −15.3097 | + | 8.91905i | −0.494892 | + | 0.288312i | ||||
\(958\) | −15.4551 | − | 26.7690i | −0.499332 | − | 0.864868i | ||||
\(959\) | −2.82196 | − | 0.497587i | −0.0911257 | − | 0.0160679i | ||||
\(960\) | 3.85193 | + | 0.403314i | 0.124320 | + | 0.0130169i | ||||
\(961\) | −12.7796 | − | 22.1349i | −0.412244 | − | 0.714028i | ||||
\(962\) | −8.52789 | − | 4.92358i | −0.274950 | − | 0.158743i | ||||
\(963\) | 27.5081 | + | 4.62895i | 0.886435 | + | 0.149166i | ||||
\(964\) | −1.91494 | + | 5.26125i | −0.0616760 | + | 0.169453i | ||||
\(965\) | 24.9078 | − | 34.0305i | 0.801809 | − | 1.09548i | ||||
\(966\) | −0.0306364 | − | 0.169862i | −0.000985709 | − | 0.00546521i | ||||
\(967\) | 38.1057 | − | 6.71906i | 1.22540 | − | 0.216070i | 0.476749 | − | 0.879039i | \(-0.341815\pi\) |
0.748647 | + | 0.662969i | \(0.230704\pi\) | |||||||
\(968\) | 9.14517i | 0.293937i | ||||||||
\(969\) | −0.454178 | − | 0.162742i | −0.0145903 | − | 0.00522803i | ||||
\(970\) | 8.71827 | + | 13.0239i | 0.279927 | + | 0.418171i | ||||
\(971\) | −3.65699 | − | 20.7398i | −0.117358 | − | 0.665573i | −0.985555 | − | 0.169353i | \(-0.945832\pi\) |
0.868197 | − | 0.496220i | \(-0.165279\pi\) | |||||||
\(972\) | 14.7498 | + | 5.04423i | 0.473099 | + | 0.161794i | ||||
\(973\) | −1.32643 | − | 3.64434i | −0.0425234 | − | 0.116832i | ||||
\(974\) | −13.1573 | + | 36.1495i | −0.421588 | + | 1.15830i | ||||
\(975\) | −0.998584 | + | 26.2485i | −0.0319803 | + | 0.840625i | ||||
\(976\) | 1.55004 | − | 2.68475i | 0.0496157 | − | 0.0859369i | ||||
\(977\) | −20.0256 | + | 11.5618i | −0.640677 | + | 0.369895i | −0.784875 | − | 0.619654i | \(-0.787273\pi\) |
0.144198 | + | 0.989549i | \(0.453940\pi\) | |||||||
\(978\) | −2.23406 | − | 1.85976i | −0.0714374 | − | 0.0594687i | ||||
\(979\) | −18.0020 | − | 3.17424i | −0.575347 | − | 0.101449i | ||||
\(980\) | −13.8623 | − | 6.82148i | −0.442814 | − | 0.217904i | ||||
\(981\) | 0.286717 | + | 36.6694i | 0.00915417 | + | 1.17076i | ||||
\(982\) | 10.8248 | + | 9.08306i | 0.345432 | + | 0.289852i | ||||
\(983\) | −2.67476 | + | 7.34884i | −0.0853116 | + | 0.234392i | −0.975012 | − | 0.222154i | \(-0.928691\pi\) |
0.889700 | + | 0.456546i | \(0.150913\pi\) | |||||||
\(984\) | −8.91292 | − | 1.53569i | −0.284134 | − | 0.0489559i | ||||
\(985\) | −11.5112 | + | 39.6185i | −0.366779 | + | 1.26235i | ||||
\(986\) | 0.472693 | − | 0.0833485i | 0.0150536 | − | 0.00265436i | ||||
\(987\) | 0.436427 | + | 0.249702i | 0.0138916 | + | 0.00794809i | ||||
\(988\) | −6.62295 | − | 11.4425i | −0.210704 | − | 0.364036i | ||||
\(989\) | 1.80831i | 0.0575009i | ||||||||
\(990\) | −2.48041 | + | 8.79289i | −0.0788325 | + | 0.279456i | ||||
\(991\) | 37.1967 | + | 44.3294i | 1.18159 | + | 1.40817i | 0.892607 | + | 0.450835i | \(0.148874\pi\) |
0.288986 | + | 0.957333i | \(0.406682\pi\) | |||||||
\(992\) | −2.19190 | + | 0.797785i | −0.0695928 | + | 0.0253297i | ||||
\(993\) | −24.7074 | − | 29.2125i | −0.784067 | − | 0.927030i | ||||
\(994\) | −1.94594 | − | 1.63283i | −0.0617213 | − | 0.0517904i | ||||
\(995\) | −0.670942 | − | 10.1051i | −0.0212703 | − | 0.320352i | ||||
\(996\) | −2.07468 | + | 0.00811082i | −0.0657388 | + | 0.000257001i | ||||
\(997\) | 26.6216 | + | 4.69411i | 0.843115 | + | 0.148664i | 0.578492 | − | 0.815688i | \(-0.303641\pi\) |
0.264623 | + | 0.964352i | \(0.414753\pi\) | |||||||
\(998\) | 2.20481 | + | 0.388767i | 0.0697920 | + | 0.0123062i | ||||
\(999\) | 8.60555 | + | 14.5096i | 0.272268 | + | 0.459062i |
(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 | 570.2.bf.a.29.32 | yes | 240 | |
3.2 | odd | 2 | inner | 570.2.bf.a.29.3 | ✓ | 240 | |
5.4 | even | 2 | inner | 570.2.bf.a.29.9 | yes | 240 | |
15.14 | odd | 2 | inner | 570.2.bf.a.29.38 | yes | 240 | |
19.2 | odd | 18 | inner | 570.2.bf.a.59.38 | yes | 240 | |
57.2 | even | 18 | inner | 570.2.bf.a.59.9 | yes | 240 | |
95.59 | odd | 18 | inner | 570.2.bf.a.59.3 | yes | 240 | |
285.59 | even | 18 | inner | 570.2.bf.a.59.32 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
570.2.bf.a.29.3 | ✓ | 240 | 3.2 | odd | 2 | inner | |
570.2.bf.a.29.9 | yes | 240 | 5.4 | even | 2 | inner | |
570.2.bf.a.29.32 | yes | 240 | 1.1 | even | 1 | trivial | |
570.2.bf.a.29.38 | yes | 240 | 15.14 | odd | 2 | inner | |
570.2.bf.a.59.3 | yes | 240 | 95.59 | odd | 18 | inner | |
570.2.bf.a.59.9 | yes | 240 | 57.2 | even | 18 | inner | |
570.2.bf.a.59.32 | yes | 240 | 285.59 | even | 18 | inner | |
570.2.bf.a.59.38 | yes | 240 | 19.2 | odd | 18 | inner |