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 | 29.38 | ||
Character | \(\chi\) | \(=\) | 570.29 |
Dual form | 570.2.bf.a.59.38 |
$q$-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 | ||||
\(3\) | 1.62527 | + | 0.598755i | 0.938348 | + | 0.345691i | ||||
\(4\) | 0.939693 | − | 0.342020i | 0.469846 | − | 0.171010i | ||||
\(5\) | 1.32068 | + | 1.80439i | 0.590624 | + | 0.806947i | ||||
\(6\) | 1.70455 | + | 0.307434i | 0.695879 | + | 0.125509i | ||||
\(7\) | −0.260757 | − | 0.150548i | −0.0985569 | − | 0.0569018i | 0.449911 | − | 0.893073i | \(-0.351456\pi\) |
−0.548468 | + | 0.836171i | \(0.684789\pi\) | |||||||
\(8\) | 0.866025 | − | 0.500000i | 0.306186 | − | 0.176777i | ||||
\(9\) | 2.28299 | + | 1.94627i | 0.760995 | + | 0.648757i | ||||
\(10\) | 1.61394 | + | 1.54764i | 0.510373 | + | 0.489407i | ||||
\(11\) | −1.17946 | + | 0.680961i | −0.355620 | + | 0.205317i | −0.667158 | − | 0.744916i | \(-0.732489\pi\) |
0.311538 | + | 0.950234i | \(0.399156\pi\) | |||||||
\(12\) | 1.73204 | + | 0.00677128i | 0.499996 | + | 0.00195470i | ||||
\(13\) | −2.32350 | − | 1.94965i | −0.644422 | − | 0.540734i | 0.260951 | − | 0.965352i | \(-0.415964\pi\) |
−0.905373 | + | 0.424618i | \(0.860409\pi\) | |||||||
\(14\) | −0.282938 | − | 0.102981i | −0.0756183 | − | 0.0275228i | ||||
\(15\) | 1.06607 | + | 3.72337i | 0.275257 | + | 0.961371i | ||||
\(16\) | 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 | ||||
\(21\) | −0.333658 | − | 0.400810i | −0.0728102 | − | 0.0874640i | ||||
\(22\) | −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 | \(0.399874\pi\) | |||||||
\(24\) | 1.70690 | − | 0.294097i | 0.348419 | − | 0.0600322i | ||||
\(25\) | −1.51163 | + | 4.76602i | −0.302325 | + | 0.953205i | ||||
\(26\) | −2.62675 | − | 1.51656i | −0.515148 | − | 0.297421i | ||||
\(27\) | 2.54512 | + | 4.53016i | 0.489809 | + | 0.871830i | ||||
\(28\) | −0.296522 | − | 0.0522848i | −0.0560374 | − | 0.00988090i | ||||
\(29\) | 1.30430 | − | 7.39707i | 0.242203 | − | 1.37360i | −0.584697 | − | 0.811252i | \(-0.698787\pi\) |
0.826900 | − | 0.562349i | \(-0.190102\pi\) | |||||||
\(30\) | 1.69643 | + | 3.48169i | 0.309724 | + | 0.635666i | ||||
\(31\) | −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 | ||||
\(33\) | −2.32466 | + | 0.400537i | −0.404672 | + | 0.0697245i | ||||
\(34\) | −0.0218560 | − | 0.0600489i | −0.00374828 | − | 0.0102983i | ||||
\(35\) | −0.0727285 | − | 0.669332i | −0.0122934 | − | 0.113138i | ||||
\(36\) | 2.81097 | + | 1.04807i | 0.468495 | + | 0.174678i | ||||
\(37\) | 3.24655 | 0.533730 | 0.266865 | − | 0.963734i | \(-0.414012\pi\) | ||||
0.266865 | + | 0.963734i | \(0.414012\pi\) | |||||||
\(38\) | −3.77728 | − | 2.17535i | −0.612756 | − | 0.352888i | ||||
\(39\) | −2.60894 | − | 4.55990i | −0.417765 | − | 0.730168i | ||||
\(40\) | 2.04593 | + | 0.902307i | 0.323490 | + | 0.142667i | ||||
\(41\) | 4.00006 | − | 3.35645i | 0.624704 | − | 0.524189i | −0.274574 | − | 0.961566i | \(-0.588537\pi\) |
0.899278 | + | 0.437377i | \(0.144093\pi\) | |||||||
\(42\) | −0.398189 | − | 0.336782i | −0.0614419 | − | 0.0519666i | ||||
\(43\) | −1.86872 | + | 5.13426i | −0.284977 | + | 0.782967i | 0.711773 | + | 0.702409i | \(0.247892\pi\) |
−0.996750 | + | 0.0805579i | \(0.974330\pi\) | |||||||
\(44\) | −0.875426 | + | 1.04329i | −0.131975 | + | 0.157282i | ||||
\(45\) | −0.496744 | + | 6.68979i | −0.0740502 | + | 0.997255i | ||||
\(46\) | −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 | \(0.0331545\pi\) | |||||||
\(48\) | 1.62990 | − | 0.586029i | 0.235256 | − | 0.0845860i | ||||
\(49\) | −3.45467 | − | 5.98366i | −0.493524 | − | 0.854809i | ||||
\(50\) | −0.661051 | + | 4.95611i | −0.0934867 | + | 0.700900i | ||||
\(51\) | 0.0196458 | − | 0.108925i | 0.00275097 | − | 0.0152526i | ||||
\(52\) | −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 | \(0.757332\pi\) | |||||||
\(54\) | 3.29311 | + | 4.01938i | 0.448135 | + | 0.546969i | ||||
\(55\) | −2.78640 | − | 1.22887i | −0.375718 | − | 0.165701i | ||||
\(56\) | −0.301096 | −0.0402357 | ||||||||
\(57\) | −3.75645 | − | 6.54898i | −0.497554 | − | 0.867433i | ||||
\(58\) | − | 7.51118i | − | 0.986266i | ||||||
\(59\) | −1.12932 | − | 6.40472i | −0.147026 | − | 0.833824i | −0.965718 | − | 0.259592i | \(-0.916412\pi\) |
0.818693 | − | 0.574232i | \(-0.194699\pi\) | |||||||
\(60\) | 2.27524 | + | 3.13421i | 0.293733 | + | 0.404625i | ||||
\(61\) | 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 | ||||
\(63\) | −0.302297 | − | 0.851203i | −0.0380858 | − | 0.107242i | ||||
\(64\) | 0.500000 | − | 0.866025i | 0.0625000 | − | 0.108253i | ||||
\(65\) | 0.449328 | − | 6.76734i | 0.0557323 | − | 0.839385i | ||||
\(66\) | −2.21979 | + | 0.798125i | −0.273238 | + | 0.0982424i | ||||
\(67\) | −1.99315 | + | 11.3037i | −0.243502 | + | 1.38097i | 0.580444 | + | 0.814300i | \(0.302879\pi\) |
−0.823946 | + | 0.566668i | \(0.808232\pi\) | |||||||
\(68\) | −0.0319514 | − | 0.0553414i | −0.00387467 | − | 0.00671113i | ||||
\(69\) | −0.573242 | − | 0.00224105i | −0.0690102 | − | 0.000269791i | ||||
\(70\) | −0.187852 | − | 0.646534i | −0.0224526 | − | 0.0772756i | ||||
\(71\) | 7.92785 | + | 2.88550i | 0.940862 | + | 0.342446i | 0.766506 | − | 0.642237i | \(-0.221993\pi\) |
0.174356 | + | 0.984683i | \(0.444216\pi\) | |||||||
\(72\) | 2.95026 | + | 0.544028i | 0.347691 | + | 0.0641144i | ||||
\(73\) | −6.48523 | − | 7.72880i | −0.759039 | − | 0.904587i | 0.238748 | − | 0.971082i | \(-0.423263\pi\) |
−0.997787 | + | 0.0664943i | \(0.978819\pi\) | |||||||
\(74\) | 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 | ||||||||
\(78\) | −3.36113 | − | 4.03759i | −0.380573 | − | 0.457167i | ||||
\(79\) | −9.29589 | − | 11.0784i | −1.04587 | − | 1.24642i | −0.968394 | − | 0.249425i | \(-0.919758\pi\) |
−0.0774757 | − | 0.996994i | \(-0.524686\pi\) | |||||||
\(80\) | 2.17153 | + | 0.533326i | 0.242785 | + | 0.0596277i | ||||
\(81\) | 1.42405 | + | 8.88662i | 0.158228 | + | 0.987403i | ||||
\(82\) | 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 | \(0.187607\pi\) | |||||||
\(84\) | −0.450621 | − | 0.262521i | −0.0491668 | − | 0.0286433i | ||||
\(85\) | 0.0988985 | − | 0.103135i | 0.0107271 | − | 0.0111866i | ||||
\(86\) | −0.948773 | + | 5.38076i | −0.102309 | + | 0.580222i | ||||
\(87\) | 6.54887 | − | 11.2413i | 0.702112 | − | 1.20519i | ||||
\(88\) | −0.680961 | + | 1.17946i | −0.0725907 | + | 0.125731i | ||||
\(89\) | 10.2819 | + | 8.62750i | 1.08987 | + | 0.914513i | 0.996703 | − | 0.0811366i | \(-0.0258550\pi\) |
0.0931717 | + | 0.995650i | \(0.470299\pi\) | |||||||
\(90\) | 0.672472 | + | 6.67441i | 0.0708848 | + | 0.703545i | ||||
\(91\) | 0.312353 | + | 0.858182i | 0.0327435 | + | 0.0899619i | ||||
\(92\) | −0.253533 | + | 0.212740i | −0.0264326 | + | 0.0221796i | ||||
\(93\) | −2.58482 | − | 3.10504i | −0.268034 | − | 0.321978i | ||||
\(94\) | − | 0.964139i | − | 0.0994433i | ||||||
\(95\) | 0.635161 | − | 9.72608i | 0.0651661 | − | 0.997874i | ||||
\(96\) | 1.50337 | − | 0.860155i | 0.153437 | − | 0.0877892i | ||||
\(97\) | −1.21710 | − | 6.90250i | −0.123577 | − | 0.700842i | −0.982143 | − | 0.188138i | \(-0.939755\pi\) |
0.858565 | − | 0.512704i | \(-0.171356\pi\) | |||||||
\(98\) | −4.44124 | − | 5.29286i | −0.448633 | − | 0.534660i | ||||
\(99\) | −4.01802 | − | 0.740924i | −0.403826 | − | 0.0744657i | ||||
\(100\) | 0.209611 | + | 4.99560i | 0.0209611 | + | 0.499560i | ||||
\(101\) | −8.36352 | + | 9.96725i | −0.832201 | + | 0.991779i | 0.167781 | + | 0.985824i | \(0.446340\pi\) |
−0.999982 | + | 0.00595439i | \(0.998105\pi\) | |||||||
\(102\) | 0.000432703 | − | 0.110682i | 4.28440e−5 | − | 0.0109591i | ||||
\(103\) | 7.33114 | + | 12.6979i | 0.722359 | + | 1.25116i | 0.960052 | + | 0.279822i | \(0.0902753\pi\) |
−0.237693 | + | 0.971340i | \(0.576391\pi\) | |||||||
\(104\) | −2.98703 | − | 0.526694i | −0.292902 | − | 0.0516466i | ||||
\(105\) | 0.282562 | − | 1.13139i | 0.0275753 | − | 0.110412i | ||||
\(106\) | 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 | \(0.815046\pi\) | |||||||
\(108\) | 3.94104 | + | 3.38648i | 0.379227 | + | 0.325864i | ||||
\(109\) | 4.18068 | − | 11.4863i | 0.400437 | − | 1.10019i | −0.561632 | − | 0.827387i | \(-0.689826\pi\) |
0.962069 | − | 0.272805i | \(-0.0879513\pi\) | |||||||
\(110\) | −2.95746 | − | 0.726349i | −0.281983 | − | 0.0692546i | ||||
\(111\) | 5.27652 | + | 1.94389i | 0.500825 | + | 0.184506i | ||||
\(112\) | −0.296522 | + | 0.0522848i | −0.0280187 | + | 0.00494045i | ||||
\(113\) | 10.9590i | 1.03094i | 0.856907 | + | 0.515470i | \(0.172383\pi\) | ||||
−0.856907 | + | 0.515470i | \(0.827617\pi\) | |||||||
\(114\) | −4.83660 | − | 5.79718i | −0.452989 | − | 0.542956i | ||||
\(115\) | −0.614986 | − | 0.411677i | −0.0573478 | − | 0.0383890i | ||||
\(116\) | −1.30430 | − | 7.39707i | −0.121101 | − | 0.686800i | ||||
\(117\) | −1.50997 | − | 8.97317i | −0.139597 | − | 0.829570i | ||||
\(118\) | −2.22434 | − | 6.11131i | −0.204767 | − | 0.562592i | ||||
\(119\) | −0.00658077 | + | 0.0180805i | −0.000603258 | + | 0.00165744i | ||||
\(120\) | 2.78493 | + | 2.69150i | 0.254228 | + | 0.245699i | ||||
\(121\) | −4.57258 | + | 7.91995i | −0.415690 | + | 0.719995i | ||||
\(122\) | 2.68475 | − | 1.55004i | 0.243066 | − | 0.140334i | ||||
\(123\) | 8.51085 | − | 3.06007i | 0.767397 | − | 0.275917i | ||||
\(124\) | −2.29713 | − | 0.405046i | −0.206288 | − | 0.0363742i | ||||
\(125\) | −10.5961 | + | 3.56681i | −0.947746 | + | 0.319026i | ||||
\(126\) | −0.445514 | − | 0.785778i | −0.0396896 | − | 0.0700027i | ||||
\(127\) | −7.76577 | − | 6.51626i | −0.689101 | − | 0.578224i | 0.229549 | − | 0.973297i | \(-0.426275\pi\) |
−0.918650 | + | 0.395073i | \(0.870719\pi\) | |||||||
\(128\) | 0.342020 | − | 0.939693i | 0.0302306 | − | 0.0830579i | ||||
\(129\) | −6.11133 | + | 7.22564i | −0.538072 | + | 0.636182i | ||||
\(130\) | −0.732635 | − | 6.74255i | −0.0642563 | − | 0.591361i | ||||
\(131\) | −9.56494 | + | 1.68656i | −0.835692 | + | 0.147355i | −0.575089 | − | 0.818091i | \(-0.695033\pi\) |
−0.260603 | + | 0.965446i | \(0.583921\pi\) | |||||||
\(132\) | −2.04748 | + | 1.17146i | −0.178210 | + | 0.101963i | ||||
\(133\) | 0.450224 | + | 1.23281i | 0.0390394 | + | 0.106898i | ||||
\(134\) | 11.4781i | 0.991556i | ||||||||
\(135\) | −4.81288 | + | 10.5753i | −0.414227 | + | 0.910174i | ||||
\(136\) | −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 | \(0.522154\pi\) | |||||||
\(138\) | −0.564922 | + | 0.0973354i | −0.0480894 | + | 0.00828574i | ||||
\(139\) | −9.86691 | − | 8.27932i | −0.836901 | − | 0.702243i | 0.119964 | − | 0.992778i | \(-0.461722\pi\) |
−0.956864 | + | 0.290535i | \(0.906167\pi\) | |||||||
\(140\) | −0.297267 | − | 0.604092i | −0.0251237 | − | 0.0510551i | ||||
\(141\) | 0.840616 | − | 1.44293i | 0.0707926 | − | 0.121517i | ||||
\(142\) | 8.30847 | + | 1.46501i | 0.697231 | + | 0.122941i | ||||
\(143\) | 4.06810 | + | 0.717316i | 0.340192 | + | 0.0599850i | ||||
\(144\) | 2.99991 | + | 0.0234562i | 0.249992 | + | 0.00195468i | ||||
\(145\) | 15.0697 | − | 7.41567i | 1.25147 | − | 0.615838i | ||||
\(146\) | −7.72880 | − | 6.48523i | −0.639640 | − | 0.536722i | ||||
\(147\) | −2.03201 | − | 11.7936i | −0.167598 | − | 0.972716i | ||||
\(148\) | 3.05076 | − | 1.11039i | 0.250771 | − | 0.0912732i | ||||
\(149\) | 10.4460 | + | 12.4490i | 0.855768 | + | 1.01986i | 0.999542 | + | 0.0302536i | \(0.00963149\pi\) |
−0.143775 | + | 0.989610i | \(0.545924\pi\) | |||||||
\(150\) | −4.04188 | + | 7.65919i | −0.330018 | + | 0.625370i | ||||
\(151\) | 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 | ||||
\(155\) | −0.563421 | − | 5.18526i | −0.0452551 | − | 0.416490i | ||||
\(156\) | −4.01118 | − | 3.39259i | −0.321152 | − | 0.271625i | ||||
\(157\) | 5.19992 | − | 14.2867i | 0.414998 | − | 1.14020i | −0.539501 | − | 0.841985i | \(-0.681387\pi\) |
0.954499 | − | 0.298214i | \(-0.0963908\pi\) | |||||||
\(158\) | −11.0784 | − | 9.29589i | −0.881351 | − | 0.739542i | ||||
\(159\) | −0.0395975 | + | 10.1287i | −0.00314029 | + | 0.803260i | ||||
\(160\) | 2.23116 | + | 0.148141i | 0.176388 | + | 0.0117116i | ||||
\(161\) | 0.0981380 | + | 0.0173044i | 0.00773436 | + | 0.00136378i | ||||
\(162\) | 2.94556 | + | 8.50433i | 0.231425 | + | 0.668164i | ||||
\(163\) | 1.45342 | − | 0.839134i | 0.113841 | − | 0.0657260i | −0.441998 | − | 0.897016i | \(-0.645730\pi\) |
0.555839 | + | 0.831290i | \(0.312397\pi\) | |||||||
\(164\) | 2.61085 | − | 4.52213i | 0.203873 | − | 0.353119i | ||||
\(165\) | −3.79285 | − | 3.66561i | −0.295273 | − | 0.285368i | ||||
\(166\) | −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 | \(0.715955\pi\) | |||||||
\(168\) | −0.489362 | − | 0.180283i | −0.0377551 | − | 0.0139091i | ||||
\(169\) | −0.659905 | − | 3.74251i | −0.0507619 | − | 0.287885i | ||||
\(170\) | 0.0794868 | − | 0.118742i | 0.00609636 | − | 0.00910709i | ||||
\(171\) | −2.18400 | − | 12.8930i | −0.167015 | − | 0.985954i | ||||
\(172\) | 5.46377i | 0.416608i | ||||||||
\(173\) | 9.25645 | − | 1.63216i | 0.703755 | − | 0.124091i | 0.189692 | − | 0.981844i | \(-0.439251\pi\) |
0.514063 | + | 0.857753i | \(0.328140\pi\) | |||||||
\(174\) | 4.49735 | − | 12.2077i | 0.340943 | − | 0.925461i | ||||
\(175\) | 1.11168 | − | 1.01520i | 0.0840353 | − | 0.0767420i | ||||
\(176\) | −0.465805 | + | 1.27979i | −0.0351113 | + | 0.0964676i | ||||
\(177\) | 1.99940 | − | 11.0856i | 0.150284 | − | 0.833242i | ||||
\(178\) | 11.6238 | + | 6.71101i | 0.871241 | + | 0.503011i | ||||
\(179\) | −9.62052 | − | 16.6632i | −0.719072 | − | 1.24547i | −0.961368 | − | 0.275266i | \(-0.911234\pi\) |
0.242296 | − | 0.970202i | \(-0.422099\pi\) | |||||||
\(180\) | 1.82126 | + | 6.45624i | 0.135748 | + | 0.481220i | ||||
\(181\) | 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 | ||||
\(183\) | 5.36947 | + | 0.0209916i | 0.396922 | + | 0.00155174i | ||||
\(184\) | −0.212740 | + | 0.253533i | −0.0156834 | + | 0.0186907i | ||||
\(185\) | 4.28765 | + | 5.85804i | 0.315234 | + | 0.430692i | ||||
\(186\) | −3.08474 | − | 2.60902i | −0.226184 | − | 0.191303i | ||||
\(187\) | 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 | ||||
\(190\) | −1.06340 | − | 9.68861i | −0.0771475 | − | 0.702886i | ||||
\(191\) | − | 4.36267i | − | 0.315672i | −0.987465 | − | 0.157836i | \(-0.949548\pi\) | ||
0.987465 | − | 0.157836i | \(-0.0504517\pi\) | |||||||
\(192\) | 1.33117 | − | 1.10815i | 0.0960689 | − | 0.0799735i | ||||
\(193\) | −14.4475 | + | 12.1229i | −1.03995 | + | 0.872624i | −0.992002 | − | 0.126226i | \(-0.959714\pi\) |
−0.0479511 | + | 0.998850i | \(0.515269\pi\) | |||||||
\(194\) | −2.39721 | − | 6.58629i | −0.172110 | − | 0.472868i | ||||
\(195\) | 4.78225 | − | 10.7297i | 0.342464 | − | 0.768370i | ||||
\(196\) | −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 | \(0.938374\pi\) | |||||||
\(198\) | −4.08564 | − | 0.0319455i | −0.290354 | − | 0.00227027i | ||||
\(199\) | 0.786466 | − | 4.46027i | 0.0557511 | − | 0.316180i | −0.944160 | − | 0.329486i | \(-0.893124\pi\) |
0.999911 | + | 0.0133061i | \(0.00423558\pi\) | |||||||
\(200\) | 1.07390 | + | 4.88331i | 0.0759365 | + | 0.345302i | ||||
\(201\) | −10.0076 | + | 17.1781i | −0.705878 | + | 1.21165i | ||||
\(202\) | −6.50566 | + | 11.2681i | −0.457737 | + | 0.792823i | ||||
\(203\) | −1.45372 | + | 1.73248i | −0.102031 | + | 0.121596i | ||||
\(204\) | −0.0187936 | − | 0.109076i | −0.00131581 | − | 0.00763682i | ||||
\(205\) | 11.3391 | + | 2.78487i | 0.791958 | + | 0.194504i | ||||
\(206\) | 9.42473 | + | 11.2320i | 0.656652 | + | 0.782567i | ||||
\(207\) | −0.930329 | − | 0.346874i | −0.0646624 | − | 0.0241094i | ||||
\(208\) | −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 | ||||
\(213\) | 11.1572 | + | 9.43654i | 0.764476 | + | 0.646581i | ||||
\(214\) | −8.73752 | − | 3.18020i | −0.597284 | − | 0.217394i | ||||
\(215\) | −11.7322 | + | 3.40881i | −0.800127 | + | 0.232479i | ||||
\(216\) | 4.46922 | + | 2.65067i | 0.304092 | + | 0.180355i | ||||
\(217\) | 0.351163 | + | 0.608233i | 0.0238385 | + | 0.0412895i | ||||
\(218\) | 2.12259 | − | 12.0378i | 0.143760 | − | 0.815303i | ||||
\(219\) | −5.91258 | − | 16.4444i | −0.399535 | − | 1.11121i | ||||
\(220\) | −3.03866 | − | 0.201756i | −0.204866 | − | 0.0136024i | ||||
\(221\) | −0.0969120 | + | 0.167857i | −0.00651901 | + | 0.0112913i | ||||
\(222\) | 5.53391 | + | 0.998099i | 0.371411 | + | 0.0669881i | ||||
\(223\) | −11.4237 | − | 4.15790i | −0.764990 | − | 0.278433i | −0.0700905 | − | 0.997541i | \(-0.522329\pi\) |
−0.694899 | + | 0.719107i | \(0.744551\pi\) | |||||||
\(224\) | −0.282938 | + | 0.102981i | −0.0189046 | + | 0.00688071i | ||||
\(225\) | −12.7270 | + | 7.93873i | −0.848467 | + | 0.529248i | ||||
\(226\) | 1.90302 | + | 10.7926i | 0.126587 | + | 0.717910i | ||||
\(227\) | 24.7503i | 1.64274i | 0.570399 | + | 0.821368i | \(0.306789\pi\) | ||||
−0.570399 | + | 0.821368i | \(0.693211\pi\) | |||||||
\(228\) | −5.76979 | − | 4.86924i | −0.382114 | − | 0.322474i | ||||
\(229\) | 5.31192 | 0.351021 | 0.175511 | − | 0.984478i | \(-0.443842\pi\) | ||||
0.175511 | + | 0.984478i | \(0.443842\pi\) | |||||||
\(230\) | −0.677130 | − | 0.298631i | −0.0446486 | − | 0.0196911i | ||||
\(231\) | 0.666472 | + | 0.245531i | 0.0438507 | + | 0.0161548i | ||||
\(232\) | −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 | \(0.455145\pi\) | |||||||
\(234\) | −3.04520 | − | 8.57465i | −0.199071 | − | 0.560542i | ||||
\(235\) | 1.93436 | − | 0.951879i | 0.126184 | − | 0.0620937i | ||||
\(236\) | −3.25176 | − | 5.63222i | −0.211672 | − | 0.366626i | ||||
\(237\) | −8.47506 | − | 23.5713i | −0.550514 | − | 1.53112i | ||||
\(238\) | −0.00334114 | + | 0.0189486i | −0.000216574 | + | 0.00122825i | ||||
\(239\) | 8.88918 | − | 5.13217i | 0.574993 | − | 0.331973i | −0.184148 | − | 0.982899i | \(-0.558953\pi\) |
0.759141 | + | 0.650926i | \(0.225619\pi\) | |||||||
\(240\) | 3.20999 | + | 2.16701i | 0.207204 | + | 0.139880i | ||||
\(241\) | −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 | ||||
\(243\) | −3.00645 | + | 15.2958i | −0.192864 | + | 0.981226i | ||||
\(244\) | 2.37480 | − | 1.99270i | 0.152031 | − | 0.127569i | ||||
\(245\) | 6.23435 | − | 14.1360i | 0.398298 | − | 0.903119i | ||||
\(246\) | 7.85017 | − | 4.49147i | 0.500509 | − | 0.286366i | ||||
\(247\) | 2.30996 | + | 13.0177i | 0.146979 | + | 0.828294i | ||||
\(248\) | −2.33257 | −0.148118 | ||||||||
\(249\) | −1.59451 | + | 1.32737i | −0.101048 | + | 0.0841184i | ||||
\(250\) | −9.81577 | + | 5.35262i | −0.620804 | + | 0.338530i | ||||
\(251\) | 1.76923 | + | 4.86093i | 0.111673 | + | 0.306819i | 0.982922 | − | 0.184022i | \(-0.0589118\pi\) |
−0.871249 | + | 0.490841i | \(0.836690\pi\) | |||||||
\(252\) | −0.575195 | − | 0.696478i | −0.0362339 | − | 0.0438740i | ||||
\(253\) | 0.289735 | − | 0.345292i | 0.0182155 | − | 0.0217083i | ||||
\(254\) | −8.77933 | − | 5.06875i | −0.550864 | − | 0.318041i | ||||
\(255\) | 0.222489 | − | 0.108406i | 0.0139328 | − | 0.00678867i | ||||
\(256\) | 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 | \(0.203246\pi\) | |||||||
\(258\) | −4.76376 | + | 8.17709i | −0.296579 | + | 0.509083i | ||||
\(259\) | −0.846561 | − | 0.488762i | −0.0526028 | − | 0.0303702i | ||||
\(260\) | −1.89234 | − | 6.51290i | −0.117358 | − | 0.403913i | ||||
\(261\) | 17.3744 | − | 14.3489i | 1.07545 | − | 0.888173i | ||||
\(262\) | −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 | \(0.297912\pi\) | |||||||
\(264\) | −1.81295 | + | 1.50921i | −0.111579 | + | 0.0928853i | ||||
\(265\) | −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 | −0.189803 | − | 0.981822i | \(-0.560785\pi\) |
0.933947 | + | 0.357411i | \(0.116340\pi\) | |||||||
\(270\) | −2.90339 | + | 11.2503i | −0.176695 | + | 0.684674i | ||||
\(271\) | 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 | ||||
\(273\) | −0.00618392 | + | 1.58180i | −0.000374268 | + | 0.0957347i | ||||
\(274\) | −8.24184 | + | 4.75843i | −0.497908 | + | 0.287467i | ||||
\(275\) | −1.46257 | − | 6.65069i | −0.0881965 | − | 0.401052i | ||||
\(276\) | −0.539438 | + | 0.193954i | −0.0324703 | + | 0.0116747i | ||||
\(277\) | 0.895389 | − | 0.516953i | 0.0537987 | − | 0.0310607i | −0.472859 | − | 0.881138i | \(-0.656778\pi\) |
0.526658 | + | 0.850077i | \(0.323445\pi\) | |||||||
\(278\) | −11.1547 | − | 6.44017i | −0.669015 | − | 0.386256i | ||||
\(279\) | −2.34187 | − | 6.59420i | −0.140204 | − | 0.394784i | ||||
\(280\) | −0.397651 | − | 0.543294i | −0.0237642 | − | 0.0324680i | ||||
\(281\) | 14.7019 | − | 5.35105i | 0.877042 | − | 0.319217i | 0.136027 | − | 0.990705i | \(-0.456567\pi\) |
0.741015 | + | 0.671488i | \(0.234345\pi\) | |||||||
\(282\) | 0.577283 | − | 1.56698i | 0.0343767 | − | 0.0933125i | ||||
\(283\) | 7.62181 | − | 1.34393i | 0.453070 | − | 0.0798884i | 0.0575432 | − | 0.998343i | \(-0.481673\pi\) |
0.395526 | + | 0.918455i | \(0.370562\pi\) | |||||||
\(284\) | 8.43664 | 0.500622 | ||||||||
\(285\) | 6.85584 | − | 15.4272i | 0.406105 | − | 0.913826i | ||||
\(286\) | 4.13086 | 0.244263 | ||||||||
\(287\) | −1.54835 | + | 0.273016i | −0.0913961 | + | 0.0161156i | ||||
\(288\) | 2.95841 | − | 0.497829i | 0.174326 | − | 0.0293348i | ||||
\(289\) | 15.9709 | − | 5.81295i | 0.939467 | − | 0.341938i | ||||
\(290\) | 13.5531 | − | 9.91984i | 0.795864 | − | 0.582513i | ||||
\(291\) | 2.15480 | − | 11.9471i | 0.126316 | − | 0.700354i | ||||
\(292\) | −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 | \(-0.0239260\pi\) | |||||||
\(294\) | −4.04907 | − | 11.2615i | −0.236147 | − | 0.656786i | ||||
\(295\) | 10.0651 | − | 10.4963i | 0.586014 | − | 0.611118i | ||||
\(296\) | 2.81160 | − | 1.62328i | 0.163421 | − | 0.0943510i | ||||
\(297\) | −6.08673 | − | 3.61001i | −0.353188 | − | 0.209474i | ||||
\(298\) | 12.4490 | + | 10.4460i | 0.721153 | + | 0.605119i | ||||
\(299\) | 0.943311 | + | 0.343337i | 0.0545531 | + | 0.0198557i | ||||
\(300\) | −2.65047 | + | 8.24470i | −0.153025 | + | 0.476008i | ||||
\(301\) | 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 | ||||
\(306\) | 0.0669746 | − | 0.179629i | 0.00382868 | − | 0.0102687i | ||||
\(307\) | −5.35862 | + | 4.49641i | −0.305832 | + | 0.256624i | −0.782767 | − | 0.622315i | \(-0.786192\pi\) |
0.476935 | + | 0.878939i | \(0.341748\pi\) | |||||||
\(308\) | 0.385339 | − | 0.140252i | 0.0219567 | − | 0.00799160i | ||||
\(309\) | 4.31213 | + | 25.0270i | 0.245308 | + | 1.42374i | ||||
\(310\) | −1.45527 | − | 5.00864i | −0.0826539 | − | 0.284472i | ||||
\(311\) | 8.39956 | + | 4.84949i | 0.476295 | + | 0.274989i | 0.718871 | − | 0.695143i | \(-0.244659\pi\) |
−0.242576 | + | 0.970132i | \(0.577992\pi\) | |||||||
\(312\) | −4.53936 | − | 2.64452i | −0.256991 | − | 0.149716i | ||||
\(313\) | 19.4845 | + | 3.43564i | 1.10133 | + | 0.194194i | 0.694629 | − | 0.719368i | \(-0.255568\pi\) |
0.406700 | + | 0.913562i | \(0.366680\pi\) | |||||||
\(314\) | 2.64007 | − | 14.9726i | 0.148988 | − | 0.844950i | ||||
\(315\) | 1.13666 | − | 1.66962i | 0.0640438 | − | 0.0940727i | ||||
\(316\) | −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 | \(0.327374\pi\) | |||||||
\(318\) | 1.71984 | + | 9.98172i | 0.0964437 | + | 0.559747i | ||||
\(319\) | 3.49874 | + | 9.61271i | 0.195892 | + | 0.538209i | ||||
\(320\) | 2.22298 | − | 0.241546i | 0.124269 | − | 0.0135028i | ||||
\(321\) | −10.3038 | − | 12.3776i | −0.575104 | − | 0.690849i | ||||
\(322\) | 0.0996520 | 0.00555339 | ||||||||
\(323\) | −0.139011 | + | 0.241379i | −0.00773475 | + | 0.0134307i | ||||
\(324\) | 4.37757 | + | 7.86364i | 0.243198 | + | 0.436869i | ||||
\(325\) | 12.8043 | − | 8.12671i | 0.710256 | − | 0.450789i | ||||
\(326\) | 1.28563 | − | 1.07877i | 0.0712043 | − | 0.0597475i | ||||
\(327\) | 13.6722 | − | 16.1652i | 0.756076 | − | 0.893935i | ||||
\(328\) | 1.78593 | − | 4.90679i | 0.0986113 | − | 0.270932i | ||||
\(329\) | −0.186600 | + | 0.222382i | −0.0102876 | + | 0.0122603i | ||||
\(330\) | −4.37176 | − | 2.95130i | −0.240657 | − | 0.162464i | ||||
\(331\) | −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 | ||||
\(333\) | 7.41183 | + | 6.31868i | 0.406166 | + | 0.346261i | ||||
\(334\) | 6.68051 | + | 11.5710i | 0.365541 | + | 0.633136i | ||||
\(335\) | −23.0286 | + | 11.3321i | −1.25819 | + | 0.619141i | ||||
\(336\) | −0.513233 | − | 0.0925671i | −0.0279992 | − | 0.00504995i | ||||
\(337\) | 3.75445 | + | 1.36651i | 0.204518 | + | 0.0744385i | 0.442248 | − | 0.896893i | \(-0.354181\pi\) |
−0.237730 | + | 0.971331i | \(0.576403\pi\) | |||||||
\(338\) | −1.29976 | − | 3.57106i | −0.0706976 | − | 0.194240i | ||||
\(339\) | −6.56178 | + | 17.8114i | −0.356387 | + | 0.967381i | ||||
\(340\) | 0.0576599 | − | 0.130741i | 0.00312705 | − | 0.00709041i | ||||
\(341\) | 3.17677 | 0.172032 | ||||||||
\(342\) | −4.38967 | − | 12.3179i | −0.237366 | − | 0.666076i | ||||
\(343\) | 4.18805i | 0.226133i | ||||||||
\(344\) | 0.948773 | + | 5.38076i | 0.0511544 | + | 0.290111i | ||||
\(345\) | −0.753023 | − | 1.03731i | −0.0405414 | − | 0.0558469i | ||||
\(346\) | 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 | \(0.488512\pi\) | |||||||
\(348\) | 2.30919 | − | 12.8032i | 0.123786 | − | 0.686322i | ||||
\(349\) | 3.44103 | − | 5.96003i | 0.184194 | − | 0.319033i | −0.759111 | − | 0.650962i | \(-0.774366\pi\) |
0.943305 | + | 0.331928i | \(0.107699\pi\) | |||||||
\(350\) | 0.918506 | − | 1.19282i | 0.0490962 | − | 0.0637589i | ||||
\(351\) | 2.91862 | − | 15.4879i | 0.155785 | − | 0.826683i | ||||
\(352\) | −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 | \(0.694006\pi\) | |||||||
\(354\) | 0.0440372 | − | 11.2643i | 0.00234055 | − | 0.598693i | ||||
\(355\) | 5.26356 | + | 18.1157i | 0.279361 | + | 0.961482i | ||||
\(356\) | 12.6126 | + | 4.59060i | 0.668465 | + | 0.243301i | ||||
\(357\) | −0.0215213 | + | 0.0254454i | −0.00113903 | + | 0.00134671i | ||||
\(358\) | −12.3679 | − | 14.7395i | −0.653664 | − | 0.779007i | ||||
\(359\) | −21.1878 | + | 3.73598i | −1.11825 | + | 0.197177i | −0.702071 | − | 0.712107i | \(-0.747741\pi\) |
−0.416176 | + | 0.909284i | \(0.636630\pi\) | |||||||
\(360\) | 2.91470 | + | 6.04190i | 0.153618 | + | 0.318436i | ||||
\(361\) | 3.33998 | + | 18.7041i | 0.175789 | + | 0.984428i | ||||
\(362\) | 15.4939 | 0.814340 | ||||||||
\(363\) | −12.1738 | + | 10.1342i | −0.638958 | + | 0.531906i | ||||
\(364\) | 0.587031 | + | 0.699596i | 0.0307688 | + | 0.0366688i | ||||
\(365\) | 5.38085 | − | 21.9091i | 0.281647 | − | 1.14678i | ||||
\(366\) | 5.29154 | − | 0.911726i | 0.276593 | − | 0.0476567i | ||||
\(367\) | 1.43718 | − | 1.71277i | 0.0750202 | − | 0.0894056i | −0.727229 | − | 0.686395i | \(-0.759192\pi\) |
0.802249 | + | 0.596989i | \(0.203637\pi\) | |||||||
\(368\) | −0.165482 | + | 0.286623i | −0.00862634 | + | 0.0149413i | ||||
\(369\) | 15.6646 | + | 0.122481i | 0.815468 | + | 0.00637613i | ||||
\(370\) | 5.23975 | + | 5.02450i | 0.272401 | + | 0.261211i | ||||
\(371\) | 0.305754 | − | 1.73402i | 0.0158740 | − | 0.0900258i | ||||
\(372\) | −3.49093 | − | 2.03373i | −0.180996 | − | 0.105444i | ||||
\(373\) | 8.49126 | − | 14.7073i | 0.439661 | − | 0.761515i | −0.558002 | − | 0.829839i | \(-0.688432\pi\) |
0.997663 | + | 0.0683245i | \(0.0217653\pi\) | |||||||
\(374\) | 0.0666693 | + | 0.0559421i | 0.00344738 | + | 0.00289270i | ||||
\(375\) | −19.3572 | − | 0.547453i | −0.999600 | − | 0.0282704i | ||||
\(376\) | −0.329755 | − | 0.905994i | −0.0170058 | − | 0.0467231i | ||||
\(377\) | −17.4522 | + | 14.6441i | −0.898834 | + | 0.754212i | ||||
\(378\) | −0.253591 | − | 1.54385i | −0.0130433 | − | 0.0794072i | ||||
\(379\) | 31.6333i | 1.62489i | 0.583037 | + | 0.812446i | \(0.301864\pi\) | ||||
−0.583037 | + | 0.812446i | \(0.698136\pi\) | |||||||
\(380\) | −2.72966 | − | 9.35676i | −0.140029 | − | 0.479992i | ||||
\(381\) | −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 | \(0.728029\pi\) | |||||||
\(384\) | 1.11852 | − | 1.32247i | 0.0570792 | − | 0.0674868i | ||||
\(385\) | 0.541569 | + | 0.739924i | 0.0276009 | + | 0.0377100i | ||||
\(386\) | −12.1229 | + | 14.4475i | −0.617038 | + | 0.735358i | ||||
\(387\) | −14.2589 | + | 8.08441i | −0.724822 | + | 0.410954i | ||||
\(388\) | −3.50449 | − | 6.06995i | −0.177914 | − | 0.308155i | ||||
\(389\) | −16.3942 | − | 2.89073i | −0.831217 | − | 0.146566i | −0.258182 | − | 0.966096i | \(-0.583123\pi\) |
−0.573036 | + | 0.819530i | \(0.694234\pi\) | |||||||
\(390\) | 2.84641 | − | 11.3971i | 0.144134 | − | 0.577116i | ||||
\(391\) | 0.0105748 | + | 0.0183160i | 0.000534788 | + | 0.000926280i | ||||
\(392\) | −5.98366 | − | 3.45467i | −0.302221 | − | 0.174487i | ||||
\(393\) | −16.5554 | − | 2.98595i | −0.835110 | − | 0.150621i | ||||
\(394\) | −6.31050 | + | 17.3380i | −0.317918 | + | 0.873474i | ||||
\(395\) | 7.71288 | − | 31.4044i | 0.388077 | − | 1.58013i | ||||
\(396\) | −4.02912 | + | 0.678004i | −0.202471 | + | 0.0340710i | ||||
\(397\) | 31.3959 | − | 5.53594i | 1.57571 | − | 0.277841i | 0.683670 | − | 0.729791i | \(-0.260383\pi\) |
0.892043 | + | 0.451951i | \(0.149272\pi\) | |||||||
\(398\) | − | 4.52908i | − | 0.227022i | ||||||
\(399\) | −0.00641620 | + | 2.27322i | −0.000321212 | + | 0.113803i | ||||
\(400\) | 1.90557 | + | 4.62264i | 0.0952784 | + | 0.231132i | ||||
\(401\) | −6.36197 | − | 36.0805i | −0.317702 | − | 1.80177i | −0.556655 | − | 0.830744i | \(-0.687915\pi\) |
0.238953 | − | 0.971031i | \(-0.423196\pi\) | |||||||
\(402\) | −6.87256 | + | 18.6550i | −0.342772 | + | 0.930425i | ||||
\(403\) | 2.41977 | + | 6.64826i | 0.120537 | + | 0.331174i | ||||
\(404\) | −4.45013 | + | 12.2266i | −0.221402 | + | 0.608298i | ||||
\(405\) | −14.1542 | + | 14.3059i | −0.703328 | + | 0.710865i | ||||
\(406\) | −1.13079 | + | 1.95859i | −0.0561204 | + | 0.0972033i | ||||
\(407\) | −3.82918 | + | 2.21078i | −0.189805 | + | 0.109584i | ||||
\(408\) | −0.0374488 | − | 0.104155i | −0.00185399 | − | 0.00515644i | ||||
\(409\) | 16.0690 | + | 2.83340i | 0.794562 | + | 0.140103i | 0.556172 | − | 0.831067i | \(-0.312269\pi\) |
0.238389 | + | 0.971170i | \(0.423381\pi\) | |||||||
\(410\) | 11.6504 | + | 0.773548i | 0.575374 | + | 0.0382028i | ||||
\(411\) | −16.4836 | − | 0.0644413i | −0.813074 | − | 0.00317865i | ||||
\(412\) | 11.2320 | + | 9.42473i | 0.553359 | + | 0.464323i | ||||
\(413\) | −0.669739 | + | 1.84009i | −0.0329557 | + | 0.0905451i | ||||
\(414\) | −0.976430 | − | 0.180054i | −0.0479889 | − | 0.00884916i | ||||
\(415\) | −2.66275 | + | 0.289330i | −0.130709 | + | 0.0142026i | ||||
\(416\) | −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 | \(-0.870273\pi\) | ||
0.918095 | − | 0.396361i | \(-0.129727\pi\) | |||||||
\(420\) | −0.121436 | − | 1.15980i | −0.00592548 | − | 0.0565925i | ||||
\(421\) | −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 | ||||
\(423\) | 2.23019 | − | 1.84183i | 0.108435 | − | 0.0895528i | ||||
\(424\) | 4.47972 | + | 3.75893i | 0.217555 | + | 0.182550i | ||||
\(425\) | 0.316709 | + | 0.0422430i | 0.0153626 | + | 0.00204909i | ||||
\(426\) | 12.6263 | + | 7.35576i | 0.611746 | + | 0.356388i | ||||
\(427\) | −0.919244 | − | 0.162087i | −0.0444853 | − | 0.00784396i | ||||
\(428\) | −9.15701 | − | 1.61463i | −0.442621 | − | 0.0780460i | ||||
\(429\) | 6.18225 | + | 3.60162i | 0.298482 | + | 0.173888i | ||||
\(430\) | −10.9620 | + | 5.39429i | −0.528634 | + | 0.260136i | ||||
\(431\) | −0.498544 | − | 0.418328i | −0.0240140 | − | 0.0201502i | 0.630702 | − | 0.776025i | \(-0.282767\pi\) |
−0.654716 | + | 0.755875i | \(0.727212\pi\) | |||||||
\(432\) | 4.86161 | + | 1.83433i | 0.233904 | + | 0.0882543i | ||||
\(433\) | −2.08615 | + | 0.759297i | −0.100254 | + | 0.0364895i | −0.391660 | − | 0.920110i | \(-0.628099\pi\) |
0.291406 | + | 0.956599i | \(0.405877\pi\) | |||||||
\(434\) | 0.451447 | + | 0.538014i | 0.0216702 | + | 0.0258255i | ||||
\(435\) | 28.9325 | − | 3.02936i | 1.38721 | − | 0.145247i | ||||
\(436\) | − | 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 | \(0.431804\pi\) | |||||||
\(440\) | −3.02753 | + | 0.328966i | −0.144332 | + | 0.0156829i | ||||
\(441\) | 3.75888 | − | 20.3844i | 0.178994 | − | 0.970683i | ||||
\(442\) | −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 | \(-0.578633\pi\) | |||||||
\(444\) | 5.62315 | + | 0.0219833i | 0.266863 | + | 0.00104328i | ||||
\(445\) | −1.98835 | + | 29.9466i | −0.0942568 | + | 1.41960i | ||||
\(446\) | −11.9722 | − | 2.11102i | −0.566900 | − | 0.0999597i | ||||
\(447\) | 9.52358 | + | 26.4876i | 0.450450 | + | 1.25282i | ||||
\(448\) | −0.260757 | + | 0.150548i | −0.0123196 | + | 0.00711273i | ||||
\(449\) | −19.7245 | + | 34.1638i | −0.930855 | + | 1.61229i | −0.148992 | + | 0.988838i | \(0.547603\pi\) |
−0.781863 | + | 0.623450i | \(0.785730\pi\) | |||||||
\(450\) | −11.1551 | + | 10.0281i | −0.525857 | + | 0.472731i | ||||
\(451\) | −2.43229 | + | 6.68267i | −0.114532 | + | 0.314675i | ||||
\(452\) | 3.74821 | + | 10.2981i | 0.176301 | + | 0.484384i | ||||
\(453\) | −7.24928 | + | 19.6775i | −0.340601 | + | 0.924532i | ||||
\(454\) | 4.29785 | + | 24.3743i | 0.201708 | + | 1.14394i | ||||
\(455\) | −1.13598 | + | 1.69699i | −0.0532554 | + | 0.0795559i | ||||
\(456\) | −6.52767 | − | 3.79336i | −0.305686 | − | 0.177640i | ||||
\(457\) | 20.8281i | 0.974295i | 0.873320 | + | 0.487148i | \(0.161963\pi\) | ||||
−0.873320 | + | 0.487148i | \(0.838037\pi\) | |||||||
\(458\) | 5.23122 | − | 0.922404i | 0.244439 | − | 0.0431011i | ||||
\(459\) | 0.256850 | − | 0.210439i | 0.0119887 | − | 0.00982244i | ||||
\(460\) | −0.718700 | − | 0.176512i | −0.0335095 | − | 0.00822991i | ||||
\(461\) | −3.47801 | + | 9.55575i | −0.161987 | + | 0.445056i | −0.993958 | − | 0.109764i | \(-0.964991\pi\) |
0.831971 | + | 0.554820i | \(0.187213\pi\) | |||||||
\(462\) | 0.698983 | + | 0.126069i | 0.0325196 | + | 0.00586527i | ||||
\(463\) | −21.1384 | − | 12.2042i | −0.982383 | − | 0.567179i | −0.0793943 | − | 0.996843i | \(-0.525299\pi\) |
−0.902989 | + | 0.429664i | \(0.858632\pi\) | |||||||
\(464\) | −3.75559 | − | 6.50487i | −0.174349 | − | 0.301981i | ||||
\(465\) | 2.18899 | − | 8.76478i | 0.101512 | − | 0.406457i | ||||
\(466\) | 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 | \(0.901030\pi\) | |||||||
\(468\) | −4.48791 | − | 7.91558i | −0.207454 | − | 0.365898i | ||||
\(469\) | 2.22148 | − | 2.64746i | 0.102578 | − | 0.122248i | ||||
\(470\) | 1.73968 | − | 1.27332i | 0.0802454 | − | 0.0587337i | ||||
\(471\) | 17.0055 | − | 20.1061i | 0.783570 | − | 0.926442i | ||||
\(472\) | −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 | ||||
\(475\) | 18.3885 | − | 11.6989i | 0.843720 | − | 0.536783i | ||||
\(476\) | 0.0192409i | 0.000881904i | ||||||||
\(477\) | −6.12897 | + | 16.4382i | −0.280626 | + | 0.752652i | ||||
\(478\) | 7.86294 | − | 6.59779i | 0.359643 | − | 0.301776i | ||||
\(479\) | 10.5719 | + | 29.0461i | 0.483043 | + | 1.32715i | 0.906872 | + | 0.421407i | \(0.138464\pi\) |
−0.423829 | + | 0.905742i | \(0.639314\pi\) | |||||||
\(480\) | 3.53752 | + | 1.57668i | 0.161465 | + | 0.0719654i | ||||
\(481\) | −7.54336 | − | 6.32963i | −0.343948 | − | 0.288606i | ||||
\(482\) | −2.79945 | + | 4.84879i | −0.127511 | + | 0.220856i | ||||
\(483\) | 0.149139 | + | 0.0868849i | 0.00678608 | + | 0.00395340i | ||||
\(484\) | −1.58804 | + | 9.00623i | −0.0721837 | + | 0.409374i | ||||
\(485\) | 10.8474 | − | 11.3121i | 0.492555 | − | 0.513655i | ||||
\(486\) | −0.304689 | + | 15.5855i | −0.0138210 | + | 0.706972i | ||||
\(487\) | 19.2347 | − | 33.3156i | 0.871609 | − | 1.50967i | 0.0112782 | − | 0.999936i | \(-0.496410\pi\) |
0.860331 | − | 0.509735i | \(-0.170257\pi\) | |||||||
\(488\) | 1.99270 | − | 2.37480i | 0.0902052 | − | 0.107502i | ||||
\(489\) | 2.86463 | − | 0.493573i | 0.129543 | − | 0.0223201i | ||||
\(490\) | 3.68493 | − | 15.0039i | 0.166468 | − | 0.677806i | ||||
\(491\) | −9.08306 | − | 10.8248i | −0.409913 | − | 0.488515i | 0.521103 | − | 0.853494i | \(-0.325521\pi\) |
−0.931016 | + | 0.364979i | \(0.881076\pi\) | |||||||
\(492\) | 6.95097 | − | 5.78640i | 0.313374 | − | 0.260871i | ||||
\(493\) | −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 | ||||
\(498\) | −1.33979 | + | 1.58408i | −0.0600375 | + | 0.0709845i | ||||
\(499\) | 2.10380 | + | 0.765722i | 0.0941792 | + | 0.0342784i | 0.388680 | − | 0.921373i | \(-0.372931\pi\) |
−0.294501 | + | 0.955651i | \(0.595153\pi\) | |||||||
\(500\) | −8.73718 | + | 6.97580i | −0.390738 | + | 0.311967i | ||||
\(501\) | −0.0904711 | + | 23.1418i | −0.00404195 | + | 1.03390i | ||||
\(502\) | 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 | \(-0.235033\pi\) | |||||||
\(504\) | −0.687398 | − | 0.586015i | −0.0306192 | − | 0.0261032i | ||||
\(505\) | −29.0303 | − | 1.92751i | −1.29183 | − | 0.0857731i | ||||
\(506\) | 0.225373 | − | 0.390358i | 0.0100191 | − | 0.0173535i | ||||
\(507\) | 1.16832 | − | 6.47769i | 0.0518870 | − | 0.287685i | ||||
\(508\) | −9.52613 | − | 3.46723i | −0.422654 | − | 0.153833i | ||||
\(509\) | −33.7020 | + | 12.2665i | −1.49382 | + | 0.543704i | −0.954451 | − | 0.298368i | \(-0.903558\pi\) |
−0.539364 | + | 0.842073i | \(0.681335\pi\) | |||||||
\(510\) | 0.200285 | − | 0.145394i | 0.00886875 | − | 0.00643817i | ||||
\(511\) | 0.527513 | + | 2.99168i | 0.0233358 | + | 0.132344i | ||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | 4.17018 | − | 22.2623i | 0.184118 | − | 0.982904i | ||||
\(514\) | 28.6727 | 1.26470 | ||||||||
\(515\) | −13.2299 | + | 29.9980i | −0.582978 | + | 1.32187i | ||||
\(516\) | −3.27146 | + | 8.88008i | −0.144018 | + | 0.390924i | ||||
\(517\) | 0.449100 | + | 1.23389i | 0.0197514 | + | 0.0542665i | ||||
\(518\) | −0.918573 | − | 0.334333i | −0.0403598 | − | 0.0146898i | ||||
\(519\) | 16.0215 | + | 2.88965i | 0.703265 | + | 0.126841i | ||||
\(520\) | −2.99454 | − | 6.08535i | −0.131319 | − | 0.266860i | ||||
\(521\) | −7.48895 | − | 12.9712i | −0.328097 | − | 0.568280i | 0.654037 | − | 0.756462i | \(-0.273074\pi\) |
−0.982134 | + | 0.188182i | \(0.939741\pi\) | |||||||
\(522\) | 14.6188 | − | 17.1479i | 0.639848 | − | 0.750544i | ||||
\(523\) | 4.94711 | − | 28.0565i | 0.216322 | − | 1.22682i | −0.662276 | − | 0.749260i | \(-0.730409\pi\) |
0.878598 | − | 0.477563i | \(-0.158480\pi\) | |||||||
\(524\) | −8.41127 | + | 4.85625i | −0.367448 | + | 0.212146i | ||||
\(525\) | 2.41464 | − | 0.984348i | 0.105383 | − | 0.0429605i | ||||
\(526\) | −1.31785 | + | 1.57055i | −0.0574609 | + | 0.0684792i | ||||
\(527\) | −0.0509806 | + | 0.140068i | −0.00222075 | + | 0.00610146i | ||||
\(528\) | −1.52334 | + | 1.80109i | −0.0662947 | + | 0.0783826i | ||||
\(529\) | −17.5351 | + | 14.7137i | −0.762396 | + | 0.639726i | ||||
\(530\) | −5.27657 | + | 11.9643i | −0.229200 | + | 0.519698i | ||||
\(531\) | 9.88710 | − | 16.8199i | 0.429063 | − | 0.729920i | ||||
\(532\) | 0.844717 | + | 1.00448i | 0.0366231 | + | 0.0435496i | ||||
\(533\) | −15.8380 | −0.686020 | ||||||||
\(534\) | 14.8735 | + | 17.8670i | 0.643641 | + | 0.773180i | ||||
\(535\) | −2.24596 | − | 20.6699i | −0.0971012 | − | 0.893638i | ||||
\(536\) | 3.92574 | + | 10.7859i | 0.169566 | + | 0.465879i | ||||
\(537\) | −5.65873 | − | 32.8425i | −0.244192 | − | 1.41726i | ||||
\(538\) | 10.2411 | − | 12.2049i | 0.441525 | − | 0.526189i | ||||
\(539\) | 8.14928 | + | 4.70499i | 0.351014 | + | 0.202658i | ||||
\(540\) | −0.905677 | + | 11.5836i | −0.0389741 | + | 0.498479i | ||||
\(541\) | 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 | ||||
\(543\) | 23.1882 | + | 13.5088i | 0.995099 | + | 0.579720i | ||||
\(544\) | −0.0553414 | − | 0.0319514i | −0.00237274 | − | 0.00136990i | ||||
\(545\) | 26.2471 | − | 7.62616i | 1.12430 | − | 0.326669i | ||||
\(546\) | 0.268586 | + | 1.55884i | 0.0114944 | + | 0.0667122i | ||||
\(547\) | −42.1511 | + | 15.3418i | −1.80225 | + | 0.655966i | −0.804147 | + | 0.594431i | \(0.797377\pi\) |
−0.998105 | + | 0.0615348i | \(0.980400\pi\) | |||||||
\(548\) | −7.29033 | + | 6.11732i | −0.311428 | + | 0.261319i | ||||
\(549\) | 8.71425 | + | 3.24911i | 0.371915 | + | 0.138669i | ||||
\(550\) | −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 | ||||
\(555\) | 3.46104 | + | 12.0881i | 0.146913 | + | 0.513112i | ||||
\(556\) | −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 | \(-0.569507\pi\) | |||||||
\(558\) | −3.45136 | − | 6.08736i | −0.146108 | − | 0.257698i | ||||
\(559\) | 14.3520 | − | 8.28610i | 0.607023 | − | 0.350465i | ||||
\(560\) | −0.485951 | − | 0.465989i | −0.0205352 | − | 0.0196916i | ||||
\(561\) | 0.0510024 | + | 0.141851i | 0.00215332 | + | 0.00598895i | ||||
\(562\) | 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 | \(0.976609\pi\) | |||||||
\(564\) | 0.296409 | − | 1.64342i | 0.0124811 | − | 0.0692005i | ||||
\(565\) | −19.7744 | + | 14.4734i | −0.831914 | + | 0.608899i | ||||
\(566\) | 7.27265 | − | 2.64703i | 0.305692 | − | 0.111263i | ||||
\(567\) | 0.966534 | − | 2.53164i | 0.0405906 | − | 0.106319i | ||||
\(568\) | 8.30847 | − | 1.46501i | 0.348615 | − | 0.0614703i | ||||
\(569\) | 19.4653 | 0.816026 | 0.408013 | − | 0.912976i | \(-0.366222\pi\) | ||||
0.408013 | + | 0.912976i | \(0.366222\pi\) | |||||||
\(570\) | 4.07278 | − | 16.3833i | 0.170590 | − | 0.686221i | ||||
\(571\) | −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 | ||||
\(573\) | 2.61217 | − | 7.09051i | 0.109125 | − | 0.296210i | ||||
\(574\) | −1.47742 | + | 0.537736i | −0.0616662 | + | 0.0224447i | ||||
\(575\) | −0.0693737 | − | 1.65336i | −0.00289308 | − | 0.0689501i | ||||
\(576\) | 2.82701 | − | 1.00399i | 0.117792 | − | 0.0418328i | ||||
\(577\) | −39.1212 | − | 22.5866i | −1.62864 | − | 0.940294i | −0.984500 | − | 0.175384i | \(-0.943883\pi\) |
−0.644137 | − | 0.764910i | \(-0.722783\pi\) | |||||||
\(578\) | 14.7189 | − | 8.49796i | 0.612225 | − | 0.353468i | ||||
\(579\) | −30.7396 | + | 11.0524i | −1.27750 | + | 0.459323i | ||||
\(580\) | 11.6246 | − | 12.1226i | 0.482686 | − | 0.503364i | ||||
\(581\) | 0.312342 | − | 0.180331i | 0.0129581 | − | 0.00748137i | ||||
\(582\) | 0.0474597 | − | 12.1398i | 0.00196727 | − | 0.503212i | ||||
\(583\) | −6.10103 | − | 5.11937i | −0.252679 | − | 0.212023i | ||||
\(584\) | −9.48077 | − | 3.45072i | −0.392317 | − | 0.142792i | ||||
\(585\) | 14.1969 | − | 14.5752i | 0.586969 | − | 0.602611i | ||||
\(586\) | 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 | ||||
\(591\) | −24.5610 | + | 20.4460i | −1.01030 | + | 0.841037i | ||||
\(592\) | 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 | \(0.327375\pi\) | |||||||
\(594\) | −6.62113 | − | 2.49822i | −0.271668 | − | 0.102503i | ||||
\(595\) | −0.0413153 | + | 0.0120042i | −0.00169376 | + | 0.000492126i | ||||
\(596\) | 14.0738 | + | 8.12553i | 0.576486 | + | 0.332834i | ||||
\(597\) | 3.94882 | − | 6.77823i | 0.161615 | − | 0.277414i | ||||
\(598\) | 0.988599 | + | 0.174317i | 0.0404268 | + | 0.00712834i | ||||
\(599\) | −0.282246 | + | 1.60070i | −0.0115323 | + | 0.0654028i | −0.990031 | − | 0.140851i | \(-0.955016\pi\) |
0.978499 | + | 0.206254i | \(0.0661273\pi\) | |||||||
\(600\) | −1.17852 | + | 8.57969i | −0.0481131 | + | 0.350264i | ||||
\(601\) | −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 | ||||
\(603\) | −26.5504 | + | 21.9270i | −1.08122 | + | 0.892937i | ||||
\(604\) | 4.14093 | + | 11.3771i | 0.168492 | + | 0.462928i | ||||
\(605\) | −20.3296 | + | 2.20898i | −0.826514 | + | 0.0898077i | ||||
\(606\) | −17.3203 | + | 14.4184i | −0.703589 | + | 0.585709i | ||||
\(607\) | 35.4233 | 1.43779 | 0.718895 | − | 0.695119i | \(-0.244648\pi\) | ||||
0.718895 | + | 0.695119i | \(0.244648\pi\) | |||||||
\(608\) | −4.29185 | + | 0.761580i | −0.174058 | + | 0.0308862i | ||||
\(609\) | −3.40001 | + | 1.94532i | −0.137775 | + | 0.0788281i | ||||
\(610\) | 6.34257 | + | 2.79723i | 0.256803 | + | 0.113257i | ||||
\(611\) | −2.24017 | + | 1.87973i | −0.0906277 | + | 0.0760457i | ||||
\(612\) | 0.0347649 | − | 0.188530i | 0.00140529 | − | 0.00762086i | ||||
\(613\) | 3.55306 | − | 9.76196i | 0.143507 | − | 0.394282i | −0.847027 | − | 0.531550i | \(-0.821610\pi\) |
0.990534 | + | 0.137268i | \(0.0438321\pi\) | |||||||
\(614\) | −4.49641 | + | 5.35862i | −0.181460 | + | 0.216256i | ||||
\(615\) | 16.7616 | + | 11.3155i | 0.675894 | + | 0.456285i | ||||
\(616\) | 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 | \(0.870958\pi\) | |||||||
\(618\) | 8.59252 | + | 23.8980i | 0.345642 | + | 0.961320i | ||||
\(619\) | −20.8777 | − | 36.1613i | −0.839146 | − | 1.45344i | −0.890610 | − | 0.454769i | \(-0.849722\pi\) |
0.0514634 | − | 0.998675i | \(-0.483611\pi\) | |||||||
\(620\) | −2.30291 | − | 4.67985i | −0.0924869 | − | 0.187947i | ||||
\(621\) | −1.30434 | − | 1.12080i | −0.0523414 | − | 0.0449762i | ||||
\(622\) | 9.11406 | + | 3.31725i | 0.365440 | + | 0.133009i | ||||
\(623\) | −1.38221 | − | 3.79760i | −0.0553771 | − | 0.152147i | ||||
\(624\) | −4.92961 | − | 1.81609i | −0.197343 | − | 0.0727017i | ||||
\(625\) | −20.4300 | − | 14.4089i | −0.817199 | − | 0.576356i | ||||
\(626\) | 19.7851 | 0.790771 | ||||||||
\(627\) | 8.89017 | + | 5.16625i | 0.355039 | + | 0.206320i | ||||
\(628\) | − | 15.2035i | − | 0.606687i | ||||||
\(629\) | −0.0360257 | − | 0.204312i | −0.00143644 | − | 0.00814645i | ||||
\(630\) | 0.829468 | − | 1.84164i | 0.0330468 | − | 0.0733726i | ||||
\(631\) | 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 | ||||
\(633\) | −18.8642 | − | 3.40235i | −0.749783 | − | 0.135231i | ||||
\(634\) | −5.77521 | + | 10.0030i | −0.229363 | + | 0.397268i | ||||
\(635\) | 1.50178 | − | 22.6183i | 0.0595962 | − | 0.897581i | ||||
\(636\) | 3.42702 | + | 9.53143i | 0.135890 | + | 0.377946i | ||||
\(637\) | −3.63911 | + | 20.6384i | −0.144187 | + | 0.817724i | ||||
\(638\) | 5.11482 | + | 8.85913i | 0.202498 | + | 0.350736i | ||||
\(639\) | 12.4832 | + | 22.0173i | 0.493827 | + | 0.870991i | ||||
\(640\) | 2.14727 | − | 0.623893i | 0.0848782 | − | 0.0246615i | ||||
\(641\) | 5.88345 | + | 2.14140i | 0.232382 | + | 0.0845803i | 0.455587 | − | 0.890191i | \(-0.349430\pi\) |
−0.223204 | + | 0.974772i | \(0.571652\pi\) | |||||||
\(642\) | −12.2966 | − | 10.4003i | −0.485310 | − | 0.410467i | ||||
\(643\) | 21.6550 | + | 25.8074i | 0.853988 | + | 1.01774i | 0.999597 | + | 0.0284009i | \(0.00904151\pi\) |
−0.145609 | + | 0.989342i | \(0.546514\pi\) | |||||||
\(644\) | 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 | \(0.444321\pi\) | |||||||
\(648\) | 5.67657 | + | 6.98402i | 0.222997 | + | 0.274358i | ||||
\(649\) | 5.69336 | + | 6.78508i | 0.223484 | + | 0.266338i | ||||
\(650\) | 11.1986 | − | 10.2267i | 0.439245 | − | 0.401124i | ||||
\(651\) | 0.206552 | + | 1.19880i | 0.00809541 | + | 0.0469847i | ||||
\(652\) | 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 | \(0.164012\pi\) | |||||||
\(654\) | 10.6575 | − | 18.2937i | 0.416740 | − | 0.715342i | ||||
\(655\) | −15.6754 | − | 15.0315i | −0.612488 | − | 0.587328i | ||||
\(656\) | 0.906739 | − | 5.14237i | 0.0354022 | − | 0.200776i | ||||
\(657\) | 0.236655 | − | 30.2668i | 0.00923279 | − | 1.18082i | ||||
\(658\) | −0.145149 | + | 0.251406i | −0.00565851 | + | 0.00980082i | ||||
\(659\) | 3.04626 | + | 2.55612i | 0.118665 | + | 0.0995721i | 0.700189 | − | 0.713957i | \(-0.253099\pi\) |
−0.581524 | + | 0.813529i | \(0.697543\pi\) | |||||||
\(660\) | −4.81783 | − | 2.14732i | −0.187534 | − | 0.0835843i | ||||
\(661\) | −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 | ||||
\(663\) | −0.258013 | + | 0.214785i | −0.0100204 | + | 0.00834157i | ||||
\(664\) | 1.19783i | 0.0464847i | ||||||||
\(665\) | −1.62986 | + | 2.44052i | −0.0632035 | + | 0.0946393i | ||||
\(666\) | 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 | ||||
\(669\) | −16.0771 | − | 13.5977i | −0.621575 | − | 0.525718i | ||||
\(670\) | −20.7109 | + | 15.1588i | −0.800133 | + | 0.585637i | ||||
\(671\) | −2.71390 | + | 3.23430i | −0.104769 | + | 0.124859i | ||||
\(672\) | −0.521510 | − | 0.00203881i | −0.0201177 | − | 7.86486e-5i | ||||
\(673\) | 23.7354 | + | 41.1110i | 0.914933 | + | 1.58471i | 0.806999 | + | 0.590553i | \(0.201090\pi\) |
0.107935 | + | 0.994158i | \(0.465576\pi\) | |||||||
\(674\) | 3.93471 | + | 0.693795i | 0.151559 | + | 0.0267240i | ||||
\(675\) | −25.4381 | + | 5.28220i | −0.979114 | + | 0.203312i | ||||
\(676\) | −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 | \(0.787661\pi\) | |||||||
\(678\) | −3.36918 | + | 18.6802i | −0.129393 | + | 0.717410i | ||||
\(679\) | −0.721791 | + | 1.98311i | −0.0276998 | + | 0.0761046i | ||||
\(680\) | 0.0340810 | − | 0.138767i | 0.00130695 | − | 0.00532147i | ||||
\(681\) | −14.8194 | + | 40.2259i | −0.567879 | + | 1.54146i | ||||
\(682\) | 3.12851 | − | 0.551641i | 0.119797 | − | 0.0211234i | ||||
\(683\) | 23.7348i | 0.908186i | 0.890954 | + | 0.454093i | \(0.150037\pi\) | ||||
−0.890954 | + | 0.454093i | \(0.849963\pi\) | |||||||
\(684\) | −6.46196 | − | 11.3685i | −0.247079 | − | 0.434686i | ||||
\(685\) | −17.6839 | − | 11.8377i | −0.675667 | − | 0.452297i | ||||
\(686\) | 0.727247 | + | 4.12442i | 0.0277664 | + | 0.157471i | ||||
\(687\) | 8.63328 | + | 3.18053i | 0.329380 | + | 0.121345i | ||||
\(688\) | 1.86872 | + | 5.13426i | 0.0712442 | + | 0.195742i | ||||
\(689\) | 6.06649 | − | 16.6675i | 0.231115 | − | 0.634982i | ||||
\(690\) | −0.921710 | − | 0.890790i | −0.0350889 | − | 0.0339118i | ||||
\(691\) | −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 | ||||
\(693\) | 0.936183 | + | 0.798107i | 0.0355626 | + | 0.0303176i | ||||
\(694\) | 13.7846 | + | 2.43059i | 0.523255 | + | 0.0922640i | ||||
\(695\) | 1.90811 | − | 28.7380i | 0.0723786 | − | 1.09010i | ||||
\(696\) | 0.0508603 | − | 13.0096i | 0.00192785 | − | 0.493129i | ||||
\(697\) | −0.255615 | − | 0.214486i | −0.00968209 | − | 0.00812424i | ||||
\(698\) | 2.35380 | − | 6.46702i | 0.0890927 | − | 0.244780i | ||||
\(699\) | 18.9999 | + | 16.0698i | 0.718644 | + | 0.607817i | ||||
\(700\) | 0.697421 | − | 1.33420i | 0.0263600 | − | 0.0504278i | ||||
\(701\) | 37.8763 | − | 6.67861i | 1.43057 | − | 0.252248i | 0.595925 | − | 0.803040i | \(-0.296786\pi\) |
0.834642 | + | 0.550793i | \(0.185674\pi\) | |||||||
\(702\) | 0.184839 | − | 15.7594i | 0.00697628 | − | 0.594801i | ||||
\(703\) | −10.8505 | − | 9.08456i | −0.409234 | − | 0.342630i | ||||
\(704\) | 1.36192i | 0.0513294i | ||||||||
\(705\) | 3.71379 | − | 0.388850i | 0.139869 | − | 0.0146450i | ||||
\(706\) | 10.2380 | + | 12.2012i | 0.385312 | + | 0.459196i | ||||
\(707\) | 3.68140 | − | 1.33992i | 0.138453 | − | 0.0503928i | ||||
\(708\) | −1.91267 | − | 11.1009i | −0.0718824 | − | 0.417196i | ||||
\(709\) | −16.6759 | − | 13.9928i | −0.626277 | − | 0.525509i | 0.273492 | − | 0.961874i | \(-0.411821\pi\) |
−0.899770 | + | 0.436365i | \(0.856266\pi\) | |||||||
\(710\) | 8.32936 | + | 16.9265i | 0.312595 | + | 0.635240i | ||||
\(711\) | 0.339220 | − | 43.3842i | 0.0127217 | − | 1.62703i | ||||
\(712\) | 13.2181 | + | 2.33071i | 0.495369 | + | 0.0873470i | ||||
\(713\) | 0.760267 | + | 0.134056i | 0.0284722 | + | 0.00502042i | ||||
\(714\) | −0.0167758 | + | 0.0287959i | −0.000627818 | + | 0.00107766i | ||||
\(715\) | 4.07833 | + | 8.28777i | 0.152521 | + | 0.309945i | ||||
\(716\) | −14.7395 | − | 12.3679i | −0.550841 | − | 0.462210i | ||||
\(717\) | 17.5202 | − | 3.01871i | 0.654304 | − | 0.112736i | ||||
\(718\) | −20.2171 | + | 7.35844i | −0.754497 | + | 0.274614i | ||||
\(719\) | −21.3466 | − | 25.4399i | −0.796094 | − | 0.948748i | 0.203446 | − | 0.979086i | \(-0.434786\pi\) |
−0.999540 | + | 0.0303382i | \(0.990342\pi\) | |||||||
\(720\) | 3.91958 | + | 5.44397i | 0.146074 | + | 0.202885i | ||||
\(721\) | − | 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 | ||||
\(725\) | 33.2830 | + | 17.3979i | 1.23610 | + | 0.646144i | ||||
\(726\) | −10.2290 | + | 12.0942i | −0.379636 | + | 0.448857i | ||||
\(727\) | −11.6972 | + | 32.1379i | −0.433827 | + | 1.19193i | 0.509618 | + | 0.860401i | \(0.329787\pi\) |
−0.943445 | + | 0.331529i | \(0.892436\pi\) | |||||||
\(728\) | 0.699596 | + | 0.587031i | 0.0259288 | + | 0.0217568i | ||||
\(729\) | −14.0447 | + | 23.0596i | −0.520174 | + | 0.854060i | ||||
\(730\) | 1.49463 | − | 22.5106i | 0.0553187 | − | 0.833156i | ||||
\(731\) | 0.343845 | + | 0.0606292i | 0.0127176 | + | 0.00224245i | ||||
\(732\) | 5.05283 | − | 1.81674i | 0.186758 | − | 0.0671487i | ||||
\(733\) | −43.0329 | + | 24.8451i | −1.58946 | + | 0.917673i | −0.596061 | + | 0.802939i | \(0.703268\pi\) |
−0.993396 | + | 0.114734i | \(0.963398\pi\) | |||||||
\(734\) | 1.11793 | − | 1.93631i | 0.0412635 | − | 0.0714705i | ||||
\(735\) | 18.5965 | − | 19.2420i | 0.685942 | − | 0.709752i | ||||
\(736\) | −0.113196 | + | 0.311004i | −0.00417247 | + | 0.0114638i | ||||
\(737\) | −5.34655 | − | 14.6895i | −0.196943 | − | 0.541096i | ||||
\(738\) | 15.4479 | − | 2.59951i | 0.568646 | − | 0.0956894i | ||||
\(739\) | 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 | ||||
\(741\) | −4.04009 | + | 22.5403i | −0.148416 | + | 0.828038i | ||||
\(742\) | − | 1.76077i | − | 0.0646399i | ||||||
\(743\) | 29.8429 | − | 5.26211i | 1.09483 | − | 0.193048i | 0.403065 | − | 0.915171i | \(-0.367945\pi\) |
0.691765 | + | 0.722123i | \(0.256834\pi\) | |||||||
\(744\) | −3.79104 | − | 1.39664i | −0.138986 | − | 0.0512031i | ||||
\(745\) | −8.66711 | + | 35.2897i | −0.317539 | + | 1.29292i | ||||
\(746\) | 5.80836 | − | 15.9583i | 0.212659 | − | 0.584277i | ||||
\(747\) | −3.38627 | + | 1.20260i | −0.123897 | + | 0.0440009i | ||||
\(748\) | 0.0753706 | + | 0.0435153i | 0.00275582 | + | 0.00159108i | ||||
\(749\) | 1.39984 | + | 2.42459i | 0.0511489 | + | 0.0885925i | ||||
\(750\) | −19.1582 | + | 2.82220i | −0.699557 | + | 0.103052i | ||||
\(751\) | 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 | ||||
\(753\) | −0.0350271 | + | 8.95965i | −0.00127646 | + | 0.326508i | ||||
\(754\) | −14.6441 | + | 17.4522i | −0.533308 | + | 0.635572i | ||||
\(755\) | −21.8462 | + | 15.9898i | −0.795065 | + | 0.581928i | ||||
\(756\) | −0.517826 | − | 1.47636i | −0.0188331 | − | 0.0536948i | ||||
\(757\) | −18.8437 | − | 22.4570i | −0.684886 | − | 0.816215i | 0.305841 | − | 0.952082i | \(-0.401062\pi\) |
−0.990727 | + | 0.135868i | \(0.956618\pi\) | |||||||
\(758\) | 5.49306 | + | 31.1527i | 0.199517 | + | 1.13152i | ||||
\(759\) | 0.677641 | − | 0.387712i | 0.0245968 | − | 0.0140731i | ||||
\(760\) | −4.31297 | − | 8.74061i | −0.156448 | − | 0.317055i | ||||
\(761\) | − | 5.20717i | − | 0.188760i | −0.995536 | − | 0.0943799i | \(-0.969913\pi\) | ||
0.995536 | − | 0.0943799i | \(-0.0300868\pi\) | |||||||
\(762\) | −11.2338 | − | 13.4947i | −0.406958 | − | 0.488862i | ||||
\(763\) | −2.81939 | + | 2.36575i | −0.102069 | + | 0.0856458i | ||||
\(764\) | −1.49212 | − | 4.09957i | −0.0539831 | − | 0.148317i | ||||
\(765\) | 0.426513 | − | 0.0429728i | 0.0154206 | − | 0.00155369i | ||||
\(766\) | 4.66711 | + | 3.91617i | 0.168629 | + | 0.141497i | ||||
\(767\) | −9.86295 | + | 17.0831i | −0.356131 | + | 0.616836i | ||||
\(768\) | 0.871883 | − | 1.49660i | 0.0314614 | − | 0.0540040i | ||||
\(769\) | 1.80555 | − | 10.2398i | 0.0651097 | − | 0.369256i | −0.934791 | − | 0.355197i | \(-0.884414\pi\) |
0.999901 | − | 0.0140585i | \(-0.00447511\pi\) | |||||||
\(770\) | 0.661828 | + | 0.634640i | 0.0238506 | + | 0.0228709i | ||||
\(771\) | 42.9117 | + | 24.9992i | 1.54543 | + | 0.900326i | ||||
\(772\) | −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 | \(0.332735\pi\) | |||||||
\(774\) | −12.6385 | + | 10.4376i | −0.454280 | + | 0.375173i | ||||
\(775\) | 8.61212 | − | 7.86468i | 0.309356 | − | 0.282508i | ||||
\(776\) | −4.50529 | − | 5.36919i | −0.161730 | − | 0.192743i | ||||
\(777\) | −1.08324 | − | 1.30125i | −0.0388610 | − | 0.0466822i | ||||
\(778\) | −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 | ||||
\(783\) | 36.8295 | − | 12.9177i | 1.31618 | − | 0.461642i | ||||
\(784\) | −6.49266 | − | 2.36313i | −0.231881 | − | 0.0843976i | ||||
\(785\) | 32.6461 | − | 9.48538i | 1.16519 | − | 0.338548i | ||||
\(786\) | −16.8224 | − | 0.0657660i | −0.600035 | − | 0.00234579i | ||||
\(787\) | −3.81152 | − | 6.60175i | −0.135866 | − | 0.235327i | 0.790062 | − | 0.613027i | \(-0.210048\pi\) |
−0.925928 | + | 0.377700i | \(0.876715\pi\) | |||||||
\(788\) | −3.20393 | + | 18.1704i | −0.114135 | + | 0.647292i | ||||
\(789\) | −3.34163 | + | 1.20148i | −0.118965 | + | 0.0427738i | ||||
\(790\) | 2.14239 | − | 32.2666i | 0.0762229 | − | 1.14799i | ||||
\(791\) | 1.64986 | − | 2.85765i | 0.0586624 | − | 0.101606i | ||||
\(792\) | −3.85017 | + | 1.36735i | −0.136810 | + | 0.0485867i | ||||
\(793\) | −8.83584 | − | 3.21598i | −0.313770 | − | 0.114203i | ||||
\(794\) | 29.9576 | − | 10.9037i | 1.06315 | − | 0.386957i | ||||
\(795\) | −18.3284 | + | 13.3053i | −0.650042 | + | 0.471891i | ||||
\(796\) | −0.786466 | − | 4.46027i | −0.0278755 | − | 0.158090i | ||||
\(797\) | 9.62716i | 0.341011i | 0.985357 | + | 0.170506i | \(0.0545401\pi\) | ||||
−0.985357 | + | 0.170506i | \(0.945460\pi\) | |||||||
\(798\) | 0.388421 | + | 2.23980i | 0.0137500 | + | 0.0792879i | ||||
\(799\) | −0.0616111 | −0.00217964 | ||||||||
\(800\) | 2.67933 | + | 4.22151i | 0.0947286 | + | 0.149253i | ||||
\(801\) | 6.68186 | + | 39.7078i | 0.236092 | + | 1.40300i | ||||
\(802\) | −12.5306 | − | 34.4276i | −0.442472 | − | 1.21568i | ||||
\(803\) | 12.9121 | + | 4.69961i | 0.455657 | + | 0.165846i | ||||
\(804\) | −3.52875 | + | 19.5650i | −0.124449 | + | 0.690003i | ||||
\(805\) | 0.0983848 | + | 0.199933i | 0.00346761 | + | 0.00704670i | ||||
\(806\) | 3.53747 | + | 6.12707i | 0.124602 | + | 0.215817i | ||||
\(807\) | 25.9681 | − | 9.33680i | 0.914120 | − | 0.328671i | ||||
\(808\) | −2.25939 | + | 12.8137i | −0.0794852 | + | 0.450783i | ||||
\(809\) | 31.5002 | − | 18.1866i | 1.10749 | − | 0.639409i | 0.169310 | − | 0.985563i | \(-0.445846\pi\) |
0.938178 | + | 0.346154i | \(0.112513\pi\) | |||||||
\(810\) | −11.4550 | + | 16.5464i | −0.402487 | + | 0.581381i | ||||
\(811\) | 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 | ||||
\(813\) | 23.8568 | + | 20.1777i | 0.836695 | + | 0.707663i | ||||
\(814\) | −3.38710 | + | 2.84212i | −0.118718 | + | 0.0996162i | ||||
\(815\) | 3.43362 | + | 1.51431i | 0.120275 | + | 0.0530441i | ||||
\(816\) | −0.0549662 | − | 0.0960697i | −0.00192420 | − | 0.00336311i | ||||
\(817\) | 20.6123 | − | 11.9304i | 0.721133 | − | 0.417392i | ||||
\(818\) | 16.3169 | 0.570507 | ||||||||
\(819\) | −0.957159 | + | 2.56714i | −0.0334458 | + | 0.0897031i | ||||
\(820\) | 11.6078 | − | 1.26128i | 0.405360 | − | 0.0440458i | ||||
\(821\) | 8.44787 | + | 23.2103i | 0.294833 | + | 0.810046i | 0.995342 | + | 0.0964030i | \(0.0307338\pi\) |
−0.700510 | + | 0.713643i | \(0.747044\pi\) | |||||||
\(822\) | −16.2443 | + | 2.79888i | −0.566586 | + | 0.0976220i | ||||
\(823\) | 9.78343 | − | 11.6594i | 0.341029 | − | 0.406422i | −0.568085 | − | 0.822970i | \(-0.692316\pi\) |
0.909114 | + | 0.416547i | \(0.136760\pi\) | |||||||
\(824\) | 12.6979 | + | 7.33114i | 0.442352 | + | 0.255392i | ||||
\(825\) | 1.60506 | − | 11.6849i | 0.0558809 | − | 0.406815i | ||||
\(826\) | −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 | \(0.292289\pi\) | |||||||
\(828\) | −0.992861 | − | 0.00776316i | −0.0345043 | − | 0.000269788i | ||||
\(829\) | 34.0137 | + | 19.6378i | 1.18135 | + | 0.682050i | 0.956326 | − | 0.292304i | \(-0.0944218\pi\) |
0.225021 | + | 0.974354i | \(0.427755\pi\) | |||||||
\(830\) | −2.57205 | + | 0.747316i | −0.0892773 | + | 0.0259397i | ||||
\(831\) | 1.76478 | − | 0.304069i | 0.0612194 | − | 0.0105480i | ||||
\(832\) | −2.85019 | + | 1.03738i | −0.0988126 | + | 0.0359648i | ||||
\(833\) | −0.338228 | + | 0.283807i | −0.0117189 | + | 0.00983334i | ||||
\(834\) | −14.2733 | − | 17.1459i | −0.494244 | − | 0.593715i | ||||
\(835\) | −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 | −0.984748 | − | 0.173988i | \(-0.944335\pi\) |
0.000345029 | 1.00000i | \(0.499890\pi\) | ||||||||
\(840\) | −0.320989 | − | 1.12109i | −0.0110752 | − | 0.0386814i | ||||
\(841\) | −25.7643 | − | 9.37744i | −0.888425 | − | 0.323360i | ||||
\(842\) | −2.75851 | − | 2.31467i | −0.0950647 | − | 0.0797688i | ||||
\(843\) | 27.0985 | + | 0.105940i | 0.933321 | + | 0.00364875i | ||||
\(844\) | −9.58426 | + | 5.53348i | −0.329904 | + | 0.190470i | ||||
\(845\) | 5.88141 | − | 6.13337i | 0.202327 | − | 0.210994i | ||||
\(846\) | 1.87648 | − | 2.20111i | 0.0645146 | − | 0.0756759i | ||||
\(847\) | 2.38467 | − | 1.37679i | 0.0819381 | − | 0.0473070i | ||||
\(848\) | 5.06440 | + | 2.92393i | 0.173912 | + | 0.100408i | ||||
\(849\) | 13.1922 | + | 2.37935i | 0.452754 | + | 0.0816590i | ||||
\(850\) | 0.319233 | − | 0.0133947i | 0.0109496 | − | 0.000459435i | ||||
\(851\) | −1.00969 | + | 0.367498i | −0.0346118 | + | 0.0125977i | ||||
\(852\) | 13.7118 | + | 5.05148i | 0.469758 | + | 0.173061i | ||||
\(853\) | −24.8551 | + | 4.38262i | −0.851021 | + | 0.150058i | −0.582113 | − | 0.813108i | \(-0.697774\pi\) |
−0.268908 | + | 0.963166i | \(0.586663\pi\) | |||||||
\(854\) | −0.933424 | −0.0319411 | ||||||||
\(855\) | 20.3797 | − | 20.9683i | 0.696970 | − | 0.717101i | ||||
\(856\) | −9.29827 | −0.317808 | ||||||||
\(857\) | −17.2684 | + | 3.04489i | −0.589879 | + | 0.104012i | −0.460617 | − | 0.887599i | \(-0.652372\pi\) |
−0.129262 | + | 0.991611i | \(0.541261\pi\) | |||||||
\(858\) | 6.71375 | + | 2.47337i | 0.229204 | + | 0.0844395i | ||||
\(859\) | 15.2743 | − | 5.55938i | 0.521151 | − | 0.189684i | −0.0680318 | − | 0.997683i | \(-0.521672\pi\) |
0.589183 | + | 0.808000i | \(0.299450\pi\) | |||||||
\(860\) | −9.85875 | + | 7.21587i | −0.336181 | + | 0.246059i | ||||
\(861\) | −2.67995 | − | 0.483358i | −0.0913324 | − | 0.0164728i | ||||
\(862\) | −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 | \(0.207409\pi\) | |||||||
\(864\) | 5.10628 | + | 0.962255i | 0.173719 | + | 0.0327366i | ||||
\(865\) | 15.1698 | + | 14.5467i | 0.515790 | + | 0.494602i | ||||
\(866\) | −1.92261 | + | 1.11002i | −0.0653329 | + | 0.0377200i | ||||
\(867\) | 29.4376 | + | 0.115084i | 0.999752 | + | 0.00390846i | ||||
\(868\) | 0.538014 | + | 0.451447i | 0.0182614 | + | 0.0153231i | ||||
\(869\) | 18.5081 | + | 6.73639i | 0.627844 | + | 0.228517i | ||||
\(870\) | 27.9669 | − | 8.00742i | 0.948167 | − | 0.271477i | ||||
\(871\) | 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 | ||||
\(876\) | −11.1803 | − | 13.4305i | −0.377748 | − | 0.453774i | ||||
\(877\) | 0.184200 | − | 0.154562i | 0.00621998 | − | 0.00521918i | −0.639672 | − | 0.768648i | \(-0.720930\pi\) |
0.645892 | + | 0.763429i | \(0.276485\pi\) | |||||||
\(878\) | 1.56337 | − | 0.569021i | 0.0527612 | − | 0.0192035i | ||||
\(879\) | 52.6572 | − | 9.07278i | 1.77608 | − | 0.306017i | ||||
\(880\) | −2.92441 | + | 0.849694i | −0.0985818 | + | 0.0286432i | ||||
\(881\) | −38.9467 | − | 22.4859i | −1.31215 | − | 0.757568i | −0.329695 | − | 0.944087i | \(-0.606946\pi\) |
−0.982451 | + | 0.186519i | \(0.940279\pi\) | |||||||
\(882\) | 0.162067 | − | 20.7274i | 0.00545708 | − | 0.697928i | ||||
\(883\) | −1.92621 | − | 0.339643i | −0.0648221 | − | 0.0114299i | 0.141143 | − | 0.989989i | \(-0.454922\pi\) |
−0.205965 | + | 0.978559i | \(0.566033\pi\) | |||||||
\(884\) | −0.0336572 | + | 0.190879i | −0.00113201 | + | 0.00641997i | ||||
\(885\) | 22.6432 | − | 11.0328i | 0.761144 | − | 0.370862i | ||||
\(886\) | −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 | \(0.0567212\pi\) | |||||||
\(888\) | 5.54154 | − | 0.954801i | 0.185962 | − | 0.0320410i | ||||
\(889\) | 1.04397 | + | 2.86828i | 0.0350136 | + | 0.0961991i | ||||
\(890\) | 3.24203 | + | 29.8369i | 0.108673 | + | 1.00014i | ||||
\(891\) | −7.73105 | − | 9.51169i | −0.259000 | − | 0.318653i | ||||
\(892\) | −12.1569 | −0.407043 | ||||||||
\(893\) | −3.21643 | + | 2.70487i | −0.107634 | + | 0.0905149i | ||||
\(894\) | 13.9784 | + | 24.4314i | 0.467508 | + | 0.817109i | ||||
\(895\) | 17.3613 | − | 39.3659i | 0.580325 | − | 1.31586i | ||||
\(896\) | −0.230653 | + | 0.193541i | −0.00770558 | + | 0.00646575i | ||||
\(897\) | 1.32756 | + | 1.12283i | 0.0443258 | + | 0.0374901i | ||||
\(898\) | −13.4923 | + | 37.0699i | −0.450245 | + | 1.23704i | ||||
\(899\) | −11.2618 | + | 13.4213i | −0.375604 | + | 0.447627i | ||||
\(900\) | −9.24427 | + | 11.8129i | −0.308142 | + | 0.393762i | ||||
\(901\) | 0.323629 | − | 0.186847i | 0.0107816 | − | 0.00622479i | ||||
\(902\) | −1.23491 | + | 7.00351i | −0.0411179 | + | 0.233191i | ||||
\(903\) | 2.68138 | − | 0.964087i | 0.0892307 | − | 0.0320828i | ||||
\(904\) | 5.47952 | + | 9.49081i | 0.182246 | + | 0.315660i | ||||
\(905\) | 15.2968 | + | 31.0855i | 0.508484 | + | 1.03332i | ||||
\(906\) | −3.72218 | + | 20.6374i | −0.123661 | + | 0.685632i | ||||
\(907\) | 50.0874 | + | 18.2303i | 1.66313 | + | 0.605328i | 0.990849 | − | 0.134972i | \(-0.0430945\pi\) |
0.672276 | + | 0.740300i | \(0.265317\pi\) | |||||||
\(908\) | 8.46510 | + | 23.2577i | 0.280924 | + | 0.771833i | ||||
\(909\) | −38.4928 | + | 6.47741i | −1.27672 | + | 0.214842i | ||||
\(910\) | −0.824039 | + | 1.86846i | −0.0273166 | + | 0.0619390i | ||||
\(911\) | 33.9996 | 1.12646 | 0.563229 | − | 0.826301i | \(-0.309559\pi\) | ||||
0.563229 | + | 0.826301i | \(0.309559\pi\) | |||||||
\(912\) | −7.08721 | − | 2.60221i | −0.234681 | − | 0.0861678i | ||||
\(913\) | − | 1.63135i | − | 0.0539897i | ||||||
\(914\) | 3.61675 | + | 20.5116i | 0.119632 | + | 0.678464i | ||||
\(915\) | 7.05345 | + | 9.71632i | 0.233180 | + | 0.321212i | ||||
\(916\) | 4.99157 | − | 1.81678i | 0.164926 | − | 0.0600282i | ||||
\(917\) | 2.74803 | + | 1.00020i | 0.0907480 | + | 0.0330296i | ||||
\(918\) | 0.216405 | − | 0.251843i | 0.00714243 | − | 0.00831206i | ||||
\(919\) | 29.6548 | − | 51.3636i | 0.978221 | − | 1.69433i | 0.309355 | − | 0.950947i | \(-0.399887\pi\) |
0.668866 | − | 0.743383i | \(-0.266780\pi\) | |||||||
\(920\) | −0.738432 | − | 0.0490293i | −0.0243454 | − | 0.00161645i | ||||
\(921\) | −11.4014 | + | 4.09937i | −0.375690 | + | 0.135079i | ||||
\(922\) | −1.76583 | + | 10.0145i | −0.0581546 | + | 0.329811i | ||||
\(923\) | −12.7946 | − | 22.1609i | −0.421140 | − | 0.729436i | ||||
\(924\) | 0.710256 | + | 0.00277669i | 0.0233657 | + | 9.13465e-5i | ||||
\(925\) | −4.90758 | + | 15.4732i | −0.161360 | + | 0.508754i | ||||
\(926\) | −22.9365 | − | 8.34819i | −0.753739 | − | 0.274339i | ||||
\(927\) | −7.97670 | + | 43.2575i | −0.261989 | + | 1.42076i | ||||
\(928\) | −4.82809 | − | 5.75390i | −0.158490 | − | 0.188881i | ||||
\(929\) | −13.9625 | + | 2.46197i | −0.458095 | + | 0.0807746i | −0.397934 | − | 0.917414i | \(-0.630273\pi\) |
−0.0601614 | + | 0.998189i | \(0.519162\pi\) | |||||||
\(930\) | 0.633743 | − | 9.01174i | 0.0207813 | − | 0.295506i | ||||
\(931\) | −5.19754 | + | 29.6652i | −0.170343 | + | 0.972239i | ||||
\(932\) | 14.3671 | 0.470609 | ||||||||
\(933\) | 10.7479 | + | 12.9110i | 0.351870 | + | 0.422687i | ||||
\(934\) | −5.86402 | − | 6.98847i | −0.191877 | − | 0.228670i | ||||
\(935\) | −0.0464157 | + | 0.188990i | −0.00151796 | + | 0.00618063i | ||||
\(936\) | −5.79426 | − | 7.01601i | −0.189391 | − | 0.229325i | ||||
\(937\) | 12.0682 | − | 14.3824i | 0.394252 | − | 0.469852i | −0.532006 | − | 0.846740i | \(-0.678562\pi\) |
0.926258 | + | 0.376889i | \(0.123006\pi\) | |||||||
\(938\) | 1.72801 | − | 2.99299i | 0.0564214 | − | 0.0977247i | ||||
\(939\) | 29.6104 | + | 17.2503i | 0.966299 | + | 0.562941i | ||||
\(940\) | 1.49214 | − | 1.55606i | 0.0486683 | − | 0.0507532i | ||||
\(941\) | 1.44831 | − | 8.21380i | 0.0472137 | − | 0.267762i | −0.952058 | − | 0.305917i | \(-0.901037\pi\) |
0.999272 | + | 0.0381549i | \(0.0121480\pi\) | |||||||
\(942\) | 13.2557 | − | 22.7537i | 0.431894 | − | 0.741354i | ||||
\(943\) | −0.864097 | + | 1.49666i | −0.0281389 | + | 0.0487380i | ||||
\(944\) | −4.98199 | − | 4.18038i | −0.162150 | − | 0.136060i | ||||
\(945\) | 2.84708 | − | 2.03300i | 0.0926155 | − | 0.0661336i | ||||
\(946\) | −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 | \(0.246879\pi\) | |||||||
\(948\) | −16.0258 | − | 19.2512i | −0.520495 | − | 0.625249i | ||||
\(949\) | 30.6017i | 0.993375i | ||||||||
\(950\) | 16.0776 | − | 14.7143i | 0.521626 | − | 0.477395i | ||||
\(951\) | −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 | \(0.415767\pi\) | |||||||
\(954\) | −3.18140 | + | 17.2527i | −0.103002 | + | 0.558577i | ||||
\(955\) | 7.87195 | − | 5.76168i | 0.254730 | − | 0.186444i | ||||
\(956\) | 6.59779 | − | 7.86294i | 0.213388 | − | 0.254306i | ||||
\(957\) | −0.0692677 | + | 17.7181i | −0.00223911 | + | 0.572745i | ||||
\(958\) | 15.4551 | + | 26.7690i | 0.499332 | + | 0.864868i | ||||
\(959\) | 2.82196 | + | 0.497587i | 0.0911257 | + | 0.0160679i | ||||
\(960\) | 3.75757 | + | 0.938445i | 0.121275 | + | 0.0302882i | ||||
\(961\) | −12.7796 | − | 22.1349i | −0.412244 | − | 0.714028i | ||||
\(962\) | −8.52789 | − | 4.92358i | −0.274950 | − | 0.158743i | ||||
\(963\) | −9.33535 | − | 26.2863i | −0.300827 | − | 0.847066i | ||||
\(964\) | −1.91494 | + | 5.26125i | −0.0616760 | + | 0.169453i | ||||
\(965\) | −40.9548 | − | 10.0585i | −1.31838 | − | 0.323793i | ||||
\(966\) | 0.161961 | + | 0.0596671i | 0.00521101 | + | 0.00191976i | ||||
\(967\) | −38.1057 | + | 6.71906i | −1.22540 | + | 0.216070i | −0.748647 | − | 0.662969i | \(-0.769296\pi\) |
−0.476749 | + | 0.879039i | \(0.658185\pi\) | |||||||
\(968\) | 9.14517i | 0.293937i | ||||||||
\(969\) | −0.370456 | + | 0.309072i | −0.0119008 | + | 0.00992882i | ||||
\(970\) | 8.71827 | − | 13.0239i | 0.279927 | − | 0.418171i | ||||
\(971\) | 3.65699 | + | 20.7398i | 0.117358 | + | 0.665573i | 0.985555 | + | 0.169353i | \(0.0541679\pi\) |
−0.868197 | + | 0.496220i | \(0.834721\pi\) | |||||||
\(972\) | 2.40633 | + | 15.4016i | 0.0771831 | + | 0.494007i | ||||
\(973\) | 1.32643 | + | 3.64434i | 0.0425234 | + | 0.116832i | ||||
\(974\) | 13.1573 | − | 36.1495i | 0.421588 | − | 1.15830i | ||||
\(975\) | 25.6763 | − | 5.54142i | 0.822301 | − | 0.177467i | ||||
\(976\) | 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 | \(0.453940\pi\) | |||||||
\(978\) | 2.73541 | − | 0.983513i | 0.0874687 | − | 0.0314493i | ||||
\(979\) | −18.0020 | − | 3.17424i | −0.575347 | − | 0.101449i | ||||
\(980\) | 1.02356 | − | 15.4158i | 0.0326963 | − | 0.492440i | ||||
\(981\) | 31.9000 | − | 18.0864i | 1.01849 | − | 0.577454i | ||||
\(982\) | −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 | \(0.150913\pi\) | |||||||
\(984\) | 5.84058 | − | 6.90552i | 0.186191 | − | 0.220140i | ||||
\(985\) | −41.0155 | + | 4.45668i | −1.30686 | + | 0.142002i | ||||
\(986\) | −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 | ||||||
\(990\) | −5.33817 | − | 7.41427i | −0.169658 | − | 0.235641i | ||||
\(991\) | 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 | ||||
\(993\) | −37.7044 | + | 6.49643i | −1.19651 | + | 0.206158i | ||||
\(994\) | −1.94594 | − | 1.63283i | −0.0617213 | − | 0.0517904i | ||||
\(995\) | 9.08672 | − | 4.47148i | 0.288068 | − | 0.141756i | ||||
\(996\) | −1.04436 | + | 1.79267i | −0.0330920 | + | 0.0568029i | ||||
\(997\) | −26.6216 | − | 4.69411i | −0.843115 | − | 0.148664i | −0.264623 | − | 0.964352i | \(-0.585247\pi\) |
−0.578492 | + | 0.815688i | \(0.696359\pi\) | |||||||
\(998\) | 2.20481 | + | 0.388767i | 0.0697920 | + | 0.0123062i | ||||
\(999\) | 8.26287 | + | 14.7074i | 0.261426 | + | 0.465322i |
(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.29.38 | yes | 240 | |
3.2 | odd | 2 | inner | 570.2.bf.a.29.9 | yes | 240 | |
5.4 | even | 2 | inner | 570.2.bf.a.29.3 | ✓ | 240 | |
15.14 | odd | 2 | inner | 570.2.bf.a.29.32 | yes | 240 | |
19.2 | odd | 18 | inner | 570.2.bf.a.59.32 | yes | 240 | |
57.2 | even | 18 | inner | 570.2.bf.a.59.3 | yes | 240 | |
95.59 | odd | 18 | inner | 570.2.bf.a.59.9 | yes | 240 | |
285.59 | even | 18 | inner | 570.2.bf.a.59.38 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
570.2.bf.a.29.3 | ✓ | 240 | 5.4 | even | 2 | inner | |
570.2.bf.a.29.9 | yes | 240 | 3.2 | odd | 2 | inner | |
570.2.bf.a.29.32 | yes | 240 | 15.14 | odd | 2 | inner | |
570.2.bf.a.29.38 | yes | 240 | 1.1 | even | 1 | trivial | |
570.2.bf.a.59.3 | yes | 240 | 57.2 | even | 18 | inner | |
570.2.bf.a.59.9 | yes | 240 | 95.59 | odd | 18 | inner | |
570.2.bf.a.59.32 | yes | 240 | 19.2 | odd | 18 | inner | |
570.2.bf.a.59.38 | yes | 240 | 285.59 | even | 18 | inner |