Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [841,2,Mod(63,841)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(841, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([11]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("841.63");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 841 = 29^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 841.e (of order \(14\), degree \(6\), not 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: | \(6.71541880999\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{14})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 63.1 | ||
Character | \(\chi\) | \(=\) | 841.63 |
Dual form | 841.2.e.j.267.1 |
$q$-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 \(\left(\mathbb{Z}/841\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{11}{14}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.26503 | + | 1.00883i | −0.894511 | + | 0.713349i | −0.958649 | − | 0.284592i | \(-0.908142\pi\) |
0.0641375 | + | 0.997941i | \(0.479570\pi\) | |||||||
\(3\) | −1.57747 | + | 0.360046i | −0.910751 | + | 0.207873i | −0.652131 | − | 0.758106i | \(-0.726125\pi\) |
−0.258620 | + | 0.965979i | \(0.583268\pi\) | |||||||
\(4\) | 0.137526 | − | 0.602539i | 0.0687628 | − | 0.301269i | ||||
\(5\) | 1.77950 | + | 2.23143i | 0.795818 | + | 0.997924i | 0.999820 | + | 0.0189540i | \(0.00603359\pi\) |
−0.204002 | + | 0.978970i | \(0.565395\pi\) | |||||||
\(6\) | 1.63232 | − | 2.04686i | 0.666391 | − | 0.835628i | ||||
\(7\) | −0.497572 | − | 2.18001i | −0.188065 | − | 0.823964i | −0.977636 | − | 0.210306i | \(-0.932554\pi\) |
0.789571 | − | 0.613659i | \(-0.210303\pi\) | |||||||
\(8\) | −0.970194 | − | 2.01463i | −0.343015 | − | 0.712278i | ||||
\(9\) | −0.344139 | + | 0.165729i | −0.114713 | + | 0.0552429i | ||||
\(10\) | −4.50225 | − | 1.02761i | −1.42374 | − | 0.324959i | ||||
\(11\) | 1.56981 | − | 3.25974i | 0.473314 | − | 0.982847i | −0.518490 | − | 0.855084i | \(-0.673506\pi\) |
0.991805 | − | 0.127764i | \(-0.0407800\pi\) | |||||||
\(12\) | 1.00000i | 0.288675i | ||||||||
\(13\) | 3.81657 | + | 1.83796i | 1.05852 | + | 0.509759i | 0.880391 | − | 0.474248i | \(-0.157280\pi\) |
0.178133 | + | 0.984006i | \(0.442994\pi\) | |||||||
\(14\) | 2.82869 | + | 2.25581i | 0.756000 | + | 0.602890i | ||||
\(15\) | −3.61052 | − | 2.87930i | −0.932233 | − | 0.743431i | ||||
\(16\) | 4.37339 | + | 2.10612i | 1.09335 | + | 0.526529i | ||||
\(17\) | 6.61803i | 1.60511i | 0.596579 | + | 0.802555i | \(0.296526\pi\) | ||||
−0.596579 | + | 0.802555i | \(0.703474\pi\) | |||||||
\(18\) | 0.268155 | − | 0.556829i | 0.0632047 | − | 0.131246i | ||||
\(19\) | 1.80762 | + | 0.412577i | 0.414695 | + | 0.0946515i | 0.424778 | − | 0.905298i | \(-0.360352\pi\) |
−0.0100823 | + | 0.999949i | \(0.503209\pi\) | |||||||
\(20\) | 1.58925 | − | 0.765341i | 0.355367 | − | 0.171136i | ||||
\(21\) | 1.56981 | + | 3.25974i | 0.342560 | + | 0.711333i | ||||
\(22\) | 1.30266 | + | 5.70733i | 0.277728 | + | 1.21681i | ||||
\(23\) | 2.01766 | − | 2.53006i | 0.420710 | − | 0.527554i | −0.525635 | − | 0.850710i | \(-0.676172\pi\) |
0.946346 | + | 0.323156i | \(0.104744\pi\) | |||||||
\(24\) | 2.25581 | + | 2.82869i | 0.460465 | + | 0.577405i | ||||
\(25\) | −0.700028 | + | 3.06702i | −0.140006 | + | 0.613405i | ||||
\(26\) | −6.68226 | + | 1.52518i | −1.31050 | + | 0.299113i | ||||
\(27\) | 4.27829 | − | 3.41182i | 0.823357 | − | 0.656605i | ||||
\(28\) | −1.38197 | −0.261167 | ||||||||
\(29\) | 0 | 0 | ||||||||
\(30\) | 7.47214 | 1.36422 | ||||||||
\(31\) | 0.852329 | − | 0.679710i | 0.153083 | − | 0.122079i | −0.543953 | − | 0.839115i | \(-0.683073\pi\) |
0.697036 | + | 0.717036i | \(0.254502\pi\) | |||||||
\(32\) | −3.29717 | + | 0.752558i | −0.582863 | + | 0.133035i | ||||
\(33\) | −1.30266 | + | 5.70733i | −0.226764 | + | 0.993518i | ||||
\(34\) | −6.67646 | − | 8.37201i | −1.14500 | − | 1.43579i | ||||
\(35\) | 3.97909 | − | 4.98962i | 0.672589 | − | 0.843400i | ||||
\(36\) | 0.0525301 | + | 0.230149i | 0.00875501 | + | 0.0383582i | ||||
\(37\) | 3.77835 | + | 7.84582i | 0.621157 | + | 1.28984i | 0.939720 | + | 0.341944i | \(0.111085\pi\) |
−0.318564 | + | 0.947901i | \(0.603201\pi\) | |||||||
\(38\) | −2.70291 | + | 1.30165i | −0.438469 | + | 0.211156i | ||||
\(39\) | −6.68226 | − | 1.52518i | −1.07002 | − | 0.244224i | ||||
\(40\) | 2.76903 | − | 5.74995i | 0.437822 | − | 0.909147i | ||||
\(41\) | − | 2.85410i | − | 0.445736i | −0.974849 | − | 0.222868i | \(-0.928458\pi\) | ||
0.974849 | − | 0.222868i | \(-0.0715419\pi\) | |||||||
\(42\) | −5.27436 | − | 2.54000i | −0.813852 | − | 0.391930i | ||||
\(43\) | 2.16093 | + | 1.72328i | 0.329539 | + | 0.262798i | 0.774256 | − | 0.632873i | \(-0.218124\pi\) |
−0.444717 | + | 0.895671i | \(0.646696\pi\) | |||||||
\(44\) | −1.74823 | − | 1.39417i | −0.263555 | − | 0.210178i | ||||
\(45\) | −0.982209 | − | 0.473007i | −0.146419 | − | 0.0705117i | ||||
\(46\) | 5.23607i | 0.772016i | ||||||||
\(47\) | −3.03719 | + | 6.30678i | −0.443019 | + | 0.919939i | 0.553199 | + | 0.833049i | \(0.313407\pi\) |
−0.996218 | + | 0.0868895i | \(0.972307\pi\) | |||||||
\(48\) | −7.65718 | − | 1.74770i | −1.10522 | − | 0.252259i | ||||
\(49\) | 1.80194 | − | 0.867767i | 0.257420 | − | 0.123967i | ||||
\(50\) | −2.20854 | − | 4.58608i | −0.312335 | − | 0.648570i | ||||
\(51\) | −2.38280 | − | 10.4397i | −0.333659 | − | 1.46185i | ||||
\(52\) | 1.63232 | − | 2.04686i | 0.226362 | − | 0.283849i | ||||
\(53\) | −1.24698 | − | 1.56366i | −0.171286 | − | 0.214786i | 0.688778 | − | 0.724973i | \(-0.258148\pi\) |
−0.860064 | + | 0.510187i | \(0.829576\pi\) | |||||||
\(54\) | −1.97022 | + | 8.63211i | −0.268113 | + | 1.17468i | ||||
\(55\) | 10.0673 | − | 2.29780i | 1.35748 | − | 0.309836i | ||||
\(56\) | −3.90916 | + | 3.11745i | −0.522383 | + | 0.416587i | ||||
\(57\) | −3.00000 | −0.397360 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −5.09017 | −0.662684 | −0.331342 | − | 0.943511i | \(-0.607501\pi\) | ||||
−0.331342 | + | 0.943511i | \(0.607501\pi\) | |||||||
\(60\) | −2.23143 | + | 1.77950i | −0.288076 | + | 0.229733i | ||||
\(61\) | −1.57747 | + | 0.360046i | −0.201974 | + | 0.0460992i | −0.322311 | − | 0.946634i | \(-0.604460\pi\) |
0.120337 | + | 0.992733i | \(0.461602\pi\) | |||||||
\(62\) | −0.392512 | + | 1.71971i | −0.0498490 | + | 0.218403i | ||||
\(63\) | 0.532524 | + | 0.667764i | 0.0670917 | + | 0.0841303i | ||||
\(64\) | −2.64115 | + | 3.31189i | −0.330143 | + | 0.413986i | ||||
\(65\) | 2.69032 | + | 11.7870i | 0.333693 | + | 1.46200i | ||||
\(66\) | −4.10981 | − | 8.53410i | −0.505882 | − | 1.05048i | ||||
\(67\) | −9.43507 | + | 4.54369i | −1.15268 | + | 0.555100i | −0.909837 | − | 0.414966i | \(-0.863793\pi\) |
−0.242840 | + | 0.970066i | \(0.578079\pi\) | |||||||
\(68\) | 3.98762 | + | 0.910148i | 0.483570 | + | 0.110372i | ||||
\(69\) | −2.27184 | + | 4.71753i | −0.273498 | + | 0.567924i | ||||
\(70\) | 10.3262i | 1.23422i | ||||||||
\(71\) | 1.37656 | + | 0.662915i | 0.163367 | + | 0.0786736i | 0.513781 | − | 0.857922i | \(-0.328245\pi\) |
−0.350413 | + | 0.936595i | \(0.613959\pi\) | |||||||
\(72\) | 0.667764 | + | 0.532524i | 0.0786967 | + | 0.0627585i | ||||
\(73\) | −0.228135 | − | 0.181932i | −0.0267012 | − | 0.0212935i | 0.610048 | − | 0.792364i | \(-0.291150\pi\) |
−0.636750 | + | 0.771071i | \(0.719721\pi\) | |||||||
\(74\) | −12.6948 | − | 6.11350i | −1.47574 | − | 0.710679i | ||||
\(75\) | − | 5.09017i | − | 0.587762i | ||||||
\(76\) | 0.497187 | − | 1.03242i | 0.0570312 | − | 0.118427i | ||||
\(77\) | −7.88733 | − | 1.80023i | −0.898845 | − | 0.205155i | ||||
\(78\) | 9.99190 | − | 4.81184i | 1.13136 | − | 0.544834i | ||||
\(79\) | 2.20854 | + | 4.58608i | 0.248480 | + | 0.515975i | 0.987483 | − | 0.157728i | \(-0.0504170\pi\) |
−0.739002 | + | 0.673703i | \(0.764703\pi\) | |||||||
\(80\) | 3.08283 | + | 13.5068i | 0.344671 | + | 1.51010i | ||||
\(81\) | −4.80599 | + | 6.02652i | −0.533999 | + | 0.669613i | ||||
\(82\) | 2.87930 | + | 3.61052i | 0.317965 | + | 0.398716i | ||||
\(83\) | −1.76777 | + | 7.74509i | −0.194038 | + | 0.850134i | 0.780365 | + | 0.625324i | \(0.215033\pi\) |
−0.974403 | + | 0.224810i | \(0.927824\pi\) | |||||||
\(84\) | 2.18001 | − | 0.497572i | 0.237858 | − | 0.0542895i | ||||
\(85\) | −14.7677 | + | 11.7768i | −1.60178 | + | 1.27737i | ||||
\(86\) | −4.47214 | −0.482243 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −8.09017 | −0.862415 | ||||||||
\(89\) | −6.80835 | + | 5.42948i | −0.721683 | + | 0.575523i | −0.913954 | − | 0.405819i | \(-0.866986\pi\) |
0.192270 | + | 0.981342i | \(0.438415\pi\) | |||||||
\(90\) | 1.71971 | − | 0.392512i | 0.181273 | − | 0.0413744i | ||||
\(91\) | 2.10775 | − | 9.23465i | 0.220952 | − | 0.968054i | ||||
\(92\) | −1.24698 | − | 1.56366i | −0.130007 | − | 0.163023i | ||||
\(93\) | −1.09979 | + | 1.37910i | −0.114043 | + | 0.143006i | ||||
\(94\) | −2.52033 | − | 11.0423i | −0.259952 | − | 1.13892i | ||||
\(95\) | 2.29602 | + | 4.76774i | 0.235567 | + | 0.489160i | ||||
\(96\) | 4.93022 | − | 2.37427i | 0.503189 | − | 0.242323i | ||||
\(97\) | 16.1471 | + | 3.68546i | 1.63948 | + | 0.374202i | 0.940195 | − | 0.340636i | \(-0.110643\pi\) |
0.699290 | + | 0.714838i | \(0.253500\pi\) | |||||||
\(98\) | −1.40408 | + | 2.91560i | −0.141833 | + | 0.294520i | ||||
\(99\) | 1.38197i | 0.138893i | ||||||||
\(100\) | 1.75173 | + | 0.843588i | 0.175173 | + | 0.0843588i | ||||
\(101\) | −1.26503 | − | 1.00883i | −0.125875 | − | 0.100382i | 0.558529 | − | 0.829485i | \(-0.311366\pi\) |
−0.684404 | + | 0.729103i | \(0.739937\pi\) | |||||||
\(102\) | 13.5462 | + | 10.8027i | 1.34127 | + | 1.06963i | ||||
\(103\) | 11.8751 | + | 5.71874i | 1.17009 | + | 0.563484i | 0.915008 | − | 0.403437i | \(-0.132184\pi\) |
0.255078 | + | 0.966920i | \(0.417899\pi\) | |||||||
\(104\) | − | 9.47214i | − | 0.928819i | ||||||
\(105\) | −4.48039 | + | 9.30362i | −0.437241 | + | 0.907940i | ||||
\(106\) | 3.15493 | + | 0.720093i | 0.306434 | + | 0.0699416i | ||||
\(107\) | −10.1233 | + | 4.87515i | −0.978661 | + | 0.471298i | −0.853644 | − | 0.520856i | \(-0.825613\pi\) |
−0.125017 | + | 0.992155i | \(0.539898\pi\) | |||||||
\(108\) | −1.46738 | − | 3.04705i | −0.141199 | − | 0.293202i | ||||
\(109\) | −3.69786 | − | 16.2014i | −0.354191 | − | 1.55181i | −0.767396 | − | 0.641173i | \(-0.778448\pi\) |
0.413205 | − | 0.910638i | \(-0.364409\pi\) | |||||||
\(110\) | −10.4174 | + | 13.0630i | −0.993260 | + | 1.24551i | ||||
\(111\) | −8.78508 | − | 11.0161i | −0.833843 | − | 1.04561i | ||||
\(112\) | 2.41526 | − | 10.5820i | 0.228221 | − | 0.999902i | ||||
\(113\) | −9.69495 | + | 2.21281i | −0.912024 | + | 0.208164i | −0.652691 | − | 0.757624i | \(-0.726360\pi\) |
−0.259333 | + | 0.965788i | \(0.583503\pi\) | |||||||
\(114\) | 3.79509 | − | 3.02648i | 0.355443 | − | 0.283456i | ||||
\(115\) | 9.23607 | 0.861268 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −1.61803 | −0.149587 | ||||||||
\(118\) | 6.43922 | − | 5.13510i | 0.592778 | − | 0.472725i | ||||
\(119\) | 14.4273 | − | 3.29295i | 1.32255 | − | 0.301864i | ||||
\(120\) | −2.29780 | + | 10.0673i | −0.209760 | + | 0.919018i | ||||
\(121\) | −1.30320 | − | 1.63416i | −0.118473 | − | 0.148560i | ||||
\(122\) | 1.63232 | − | 2.04686i | 0.147783 | − | 0.185314i | ||||
\(123\) | 1.02761 | + | 4.50225i | 0.0926564 | + | 0.405954i | ||||
\(124\) | −0.292334 | − | 0.607039i | −0.0262524 | − | 0.0545137i | ||||
\(125\) | 4.76774 | − | 2.29602i | 0.426440 | − | 0.205363i | ||||
\(126\) | −1.34732 | − | 0.307516i | −0.120029 | − | 0.0273957i | ||||
\(127\) | 0.843588 | − | 1.75173i | 0.0748563 | − | 0.155441i | −0.860182 | − | 0.509987i | \(-0.829650\pi\) |
0.935039 | + | 0.354546i | \(0.115365\pi\) | |||||||
\(128\) | − | 13.6180i | − | 1.20368i | ||||||
\(129\) | −4.02926 | − | 1.94039i | −0.354756 | − | 0.170842i | ||||
\(130\) | −15.2944 | − | 12.1969i | −1.34141 | − | 1.06974i | ||||
\(131\) | −1.03689 | − | 0.826896i | −0.0905939 | − | 0.0722462i | 0.577146 | − | 0.816641i | \(-0.304167\pi\) |
−0.667739 | + | 0.744395i | \(0.732738\pi\) | |||||||
\(132\) | 3.25974 | + | 1.56981i | 0.283724 | + | 0.136634i | ||||
\(133\) | − | 4.14590i | − | 0.359495i | ||||||
\(134\) | 7.35184 | − | 15.2663i | 0.635103 | − | 1.31880i | ||||
\(135\) | 15.2265 | + | 3.47534i | 1.31048 | + | 0.299110i | ||||
\(136\) | 13.3329 | − | 6.42077i | 1.14328 | − | 0.550577i | ||||
\(137\) | 6.01107 | + | 12.4821i | 0.513560 | + | 1.06642i | 0.983026 | + | 0.183468i | \(0.0587324\pi\) |
−0.469465 | + | 0.882951i | \(0.655553\pi\) | |||||||
\(138\) | −1.88523 | − | 8.25972i | −0.160481 | − | 0.703114i | ||||
\(139\) | 9.17042 | − | 11.4993i | 0.777824 | − | 0.975361i | −0.222175 | − | 0.975007i | \(-0.571316\pi\) |
1.00000 | 0.000354328i | \(-0.000112786\pi\) | ||||||||
\(140\) | −2.45921 | − | 3.08376i | −0.207841 | − | 0.260625i | ||||
\(141\) | 2.52033 | − | 11.0423i | 0.212250 | − | 0.929927i | ||||
\(142\) | −2.41015 | + | 0.550102i | −0.202256 | + | 0.0461635i | ||||
\(143\) | 11.9825 | − | 9.55575i | 1.00203 | − | 0.799092i | ||||
\(144\) | −1.85410 | −0.154508 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 0.472136 | 0.0390742 | ||||||||
\(147\) | −2.53006 | + | 2.01766i | −0.208676 | + | 0.166413i | ||||
\(148\) | 5.24703 | − | 1.19760i | 0.431303 | − | 0.0984421i | ||||
\(149\) | 1.64264 | − | 7.19688i | 0.134570 | − | 0.589592i | −0.862005 | − | 0.506900i | \(-0.830791\pi\) |
0.996575 | − | 0.0826915i | \(-0.0263516\pi\) | |||||||
\(150\) | 5.13510 | + | 6.43922i | 0.419280 | + | 0.525760i | ||||
\(151\) | −11.4262 | + | 14.3280i | −0.929853 | + | 1.16600i | 0.0560077 | + | 0.998430i | \(0.482163\pi\) |
−0.985860 | + | 0.167568i | \(0.946409\pi\) | |||||||
\(152\) | −0.922549 | − | 4.04195i | −0.0748286 | − | 0.327846i | ||||
\(153\) | −1.09680 | − | 2.27753i | −0.0886710 | − | 0.184127i | ||||
\(154\) | 11.7938 | − | 5.67961i | 0.950374 | − | 0.457676i | ||||
\(155\) | 3.03345 | + | 0.692364i | 0.243652 | + | 0.0556120i | ||||
\(156\) | −1.83796 | + | 3.81657i | −0.147155 | + | 0.305570i | ||||
\(157\) | − | 5.56231i | − | 0.443920i | −0.975056 | − | 0.221960i | \(-0.928755\pi\) | ||
0.975056 | − | 0.221960i | \(-0.0712455\pi\) | |||||||
\(158\) | −7.42044 | − | 3.57350i | −0.590339 | − | 0.284292i | ||||
\(159\) | 2.53006 | + | 2.01766i | 0.200647 | + | 0.160010i | ||||
\(160\) | −7.54661 | − | 6.01822i | −0.596612 | − | 0.475782i | ||||
\(161\) | −6.51947 | − | 3.13961i | −0.513806 | − | 0.247436i | ||||
\(162\) | − | 12.4721i | − | 0.979904i | ||||||
\(163\) | 9.99427 | − | 20.7533i | 0.782812 | − | 1.62553i | 0.00261030 | − | 0.999997i | \(-0.499169\pi\) |
0.780201 | − | 0.625528i | \(-0.215117\pi\) | |||||||
\(164\) | −1.71971 | − | 0.392512i | −0.134287 | − | 0.0306500i | ||||
\(165\) | −15.0536 | + | 7.24942i | −1.17192 | + | 0.564366i | ||||
\(166\) | −5.57719 | − | 11.5811i | −0.432874 | − | 0.898871i | ||||
\(167\) | 4.33296 | + | 18.9839i | 0.335294 | + | 1.46902i | 0.808724 | + | 0.588189i | \(0.200159\pi\) |
−0.473429 | + | 0.880832i | \(0.656984\pi\) | |||||||
\(168\) | 5.04414 | − | 6.32515i | 0.389164 | − | 0.487996i | ||||
\(169\) | 3.08270 | + | 3.86559i | 0.237131 | + | 0.297353i | ||||
\(170\) | 6.80075 | − | 29.7960i | 0.521594 | − | 2.28525i | ||||
\(171\) | −0.690448 | + | 0.157590i | −0.0527999 | + | 0.0120512i | ||||
\(172\) | 1.33553 | − | 1.06505i | 0.101833 | − | 0.0812091i | ||||
\(173\) | 7.09017 | 0.539056 | 0.269528 | − | 0.962993i | \(-0.413132\pi\) | ||||
0.269528 | + | 0.962993i | \(0.413132\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 7.03444 | 0.531754 | ||||||||
\(176\) | 13.7308 | − | 10.9499i | 1.03500 | − | 0.825381i | ||||
\(177\) | 8.02957 | − | 1.83270i | 0.603540 | − | 0.137754i | ||||
\(178\) | 3.13536 | − | 13.7369i | 0.235005 | − | 1.02962i | ||||
\(179\) | 9.97584 | + | 12.5093i | 0.745629 | + | 0.934989i | 0.999480 | − | 0.0322542i | \(-0.0102686\pi\) |
−0.253851 | + | 0.967243i | \(0.581697\pi\) | |||||||
\(180\) | −0.420084 | + | 0.526768i | −0.0313112 | + | 0.0392630i | ||||
\(181\) | 2.65785 | + | 11.6448i | 0.197556 | + | 0.865551i | 0.972385 | + | 0.233381i | \(0.0749788\pi\) |
−0.774829 | + | 0.632171i | \(0.782164\pi\) | |||||||
\(182\) | 6.64981 | + | 13.8085i | 0.492916 | + | 1.02355i | ||||
\(183\) | 2.35877 | − | 1.13592i | 0.174365 | − | 0.0839698i | ||||
\(184\) | −7.05464 | − | 1.61018i | −0.520075 | − | 0.118704i | ||||
\(185\) | −10.7838 | + | 22.3928i | −0.792840 | + | 1.64635i | ||||
\(186\) | − | 2.85410i | − | 0.209273i | ||||||
\(187\) | 21.5730 | + | 10.3890i | 1.57758 | + | 0.759721i | ||||
\(188\) | 3.38239 | + | 2.69737i | 0.246686 | + | 0.196726i | ||||
\(189\) | −9.56654 | − | 7.62906i | −0.695864 | − | 0.554933i | ||||
\(190\) | −7.71437 | − | 3.71505i | −0.559659 | − | 0.269518i | ||||
\(191\) | 12.0344i | 0.870782i | 0.900242 | + | 0.435391i | \(0.143390\pi\) | ||||
−0.900242 | + | 0.435391i | \(0.856610\pi\) | |||||||
\(192\) | 2.97388 | − | 6.17533i | 0.214622 | − | 0.445666i | ||||
\(193\) | 3.43941 | + | 0.785024i | 0.247574 | + | 0.0565072i | 0.344507 | − | 0.938784i | \(-0.388046\pi\) |
−0.0969328 | + | 0.995291i | \(0.530903\pi\) | |||||||
\(194\) | −24.1445 | + | 11.6274i | −1.73347 | + | 0.834797i | ||||
\(195\) | −8.48777 | − | 17.6250i | −0.607822 | − | 1.26215i | ||||
\(196\) | −0.275051 | − | 1.20508i | −0.0196465 | − | 0.0860769i | ||||
\(197\) | −12.2879 | + | 15.4085i | −0.875474 | + | 1.09781i | 0.119007 | + | 0.992893i | \(0.462029\pi\) |
−0.994481 | + | 0.104916i | \(0.966543\pi\) | |||||||
\(198\) | −1.39417 | − | 1.74823i | −0.0990790 | − | 0.124241i | ||||
\(199\) | −0.190056 | + | 0.832688i | −0.0134727 | + | 0.0590277i | −0.981217 | − | 0.192905i | \(-0.938209\pi\) |
0.967745 | + | 0.251933i | \(0.0810662\pi\) | |||||||
\(200\) | 6.85807 | − | 1.56531i | 0.484939 | − | 0.110684i | ||||
\(201\) | 13.2476 | − | 10.5646i | 0.934411 | − | 0.745168i | ||||
\(202\) | 2.61803 | 0.184204 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −6.61803 | −0.463355 | ||||||||
\(205\) | 6.36872 | − | 5.07888i | 0.444811 | − | 0.354725i | ||||
\(206\) | −20.7915 | + | 4.74553i | −1.44862 | + | 0.330637i | ||||
\(207\) | −0.275051 | + | 1.20508i | −0.0191174 | + | 0.0837587i | ||||
\(208\) | 12.8204 | + | 16.0763i | 0.888934 | + | 1.11469i | ||||
\(209\) | 4.18250 | − | 5.24469i | 0.289309 | − | 0.362782i | ||||
\(210\) | −3.71793 | − | 16.2893i | −0.256561 | − | 1.12407i | ||||
\(211\) | −8.52689 | − | 17.7063i | −0.587015 | − | 1.21895i | −0.957048 | − | 0.289931i | \(-0.906368\pi\) |
0.370032 | − | 0.929019i | \(-0.379347\pi\) | |||||||
\(212\) | −1.11366 | + | 0.536310i | −0.0764864 | + | 0.0368339i | ||||
\(213\) | −2.41015 | − | 0.550102i | −0.165141 | − | 0.0376924i | ||||
\(214\) | 7.88815 | − | 16.3799i | 0.539223 | − | 1.11971i | ||||
\(215\) | 7.88854i | 0.537994i | ||||||||
\(216\) | −11.0243 | − | 5.30903i | −0.750110 | − | 0.361234i | ||||
\(217\) | −1.90587 | − | 1.51988i | −0.129379 | − | 0.103176i | ||||
\(218\) | 21.0223 | + | 16.7647i | 1.42381 | + | 1.13545i | ||||
\(219\) | 0.425380 | + | 0.204852i | 0.0287445 | + | 0.0138426i | ||||
\(220\) | − | 6.38197i | − | 0.430272i | ||||||
\(221\) | −12.1637 | + | 25.2582i | −0.818218 | + | 1.69905i | ||||
\(222\) | 22.2268 | + | 5.07312i | 1.49176 | + | 0.340485i | ||||
\(223\) | −16.5114 | + | 7.95146i | −1.10568 | + | 0.532469i | −0.895441 | − | 0.445180i | \(-0.853140\pi\) |
−0.210242 | + | 0.977649i | \(0.567425\pi\) | |||||||
\(224\) | 3.28116 | + | 6.81340i | 0.219232 | + | 0.455240i | ||||
\(225\) | −0.267387 | − | 1.17150i | −0.0178258 | − | 0.0780999i | ||||
\(226\) | 10.0321 | − | 12.5798i | 0.667322 | − | 0.836796i | ||||
\(227\) | 9.28286 | + | 11.6403i | 0.616125 | + | 0.772596i | 0.987793 | − | 0.155769i | \(-0.0497857\pi\) |
−0.371669 | + | 0.928365i | \(0.621214\pi\) | |||||||
\(228\) | −0.412577 | + | 1.80762i | −0.0273235 | + | 0.119712i | ||||
\(229\) | 15.3144 | − | 3.49540i | 1.01200 | − | 0.230983i | 0.315798 | − | 0.948827i | \(-0.397728\pi\) |
0.696204 | + | 0.717844i | \(0.254871\pi\) | |||||||
\(230\) | −11.6839 | + | 9.31760i | −0.770414 | + | 0.614384i | ||||
\(231\) | 13.0902 | 0.861270 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 10.7639 | 0.705169 | 0.352584 | − | 0.935780i | \(-0.385303\pi\) | ||||
0.352584 | + | 0.935780i | \(0.385303\pi\) | |||||||
\(234\) | 2.04686 | − | 1.63232i | 0.133808 | − | 0.106708i | ||||
\(235\) | −19.4778 | + | 4.44568i | −1.27059 | + | 0.290004i | ||||
\(236\) | −0.700028 | + | 3.06702i | −0.0455680 | + | 0.199646i | ||||
\(237\) | −5.13510 | − | 6.43922i | −0.333561 | − | 0.418272i | ||||
\(238\) | −14.9290 | + | 18.7204i | −0.967704 | + | 1.21346i | ||||
\(239\) | −3.28055 | − | 14.3730i | −0.212201 | − | 0.929713i | −0.963068 | − | 0.269259i | \(-0.913221\pi\) |
0.750867 | − | 0.660454i | \(-0.229636\pi\) | |||||||
\(240\) | −9.72611 | − | 20.1965i | −0.627818 | − | 1.30368i | ||||
\(241\) | 24.0131 | − | 11.5641i | 1.54682 | − | 0.744908i | 0.550848 | − | 0.834606i | \(-0.314305\pi\) |
0.995969 | + | 0.0896982i | \(0.0285903\pi\) | |||||||
\(242\) | 3.29717 | + | 0.752558i | 0.211950 | + | 0.0483763i | ||||
\(243\) | −1.71136 | + | 3.55367i | −0.109784 | + | 0.227968i | ||||
\(244\) | 1.00000i | 0.0640184i | ||||||||
\(245\) | 5.14291 | + | 2.47670i | 0.328569 | + | 0.158230i | ||||
\(246\) | −5.84195 | − | 4.65880i | −0.372469 | − | 0.297034i | ||||
\(247\) | 6.14058 | + | 4.89695i | 0.390716 | + | 0.311586i | ||||
\(248\) | −2.19629 | − | 1.05768i | −0.139464 | − | 0.0671625i | ||||
\(249\) | − | 12.8541i | − | 0.814596i | ||||||
\(250\) | −3.71505 | + | 7.71437i | −0.234960 | + | 0.487900i | ||||
\(251\) | 11.3603 | + | 2.59292i | 0.717057 | + | 0.163664i | 0.565456 | − | 0.824778i | \(-0.308700\pi\) |
0.151601 | + | 0.988442i | \(0.451557\pi\) | |||||||
\(252\) | 0.475589 | − | 0.229032i | 0.0299593 | − | 0.0144276i | ||||
\(253\) | −5.08000 | − | 10.5487i | −0.319377 | − | 0.663193i | ||||
\(254\) | 0.700028 | + | 3.06702i | 0.0439237 | + | 0.192442i | ||||
\(255\) | 19.0553 | − | 23.8946i | 1.19329 | − | 1.49634i | ||||
\(256\) | 8.45596 | + | 10.6034i | 0.528497 | + | 0.662715i | ||||
\(257\) | 0.182392 | − | 0.799110i | 0.0113773 | − | 0.0498471i | −0.968921 | − | 0.247372i | \(-0.920433\pi\) |
0.980298 | + | 0.197525i | \(0.0632903\pi\) | |||||||
\(258\) | 7.05464 | − | 1.61018i | 0.439203 | − | 0.100245i | ||||
\(259\) | 15.2239 | − | 12.1407i | 0.945969 | − | 0.754385i | ||||
\(260\) | 7.47214 | 0.463402 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 2.14590 | 0.132574 | ||||||||
\(263\) | −2.57363 | + | 2.05240i | −0.158697 | + | 0.126556i | −0.699619 | − | 0.714516i | \(-0.746647\pi\) |
0.540922 | + | 0.841073i | \(0.318075\pi\) | |||||||
\(264\) | 12.7620 | − | 2.91284i | 0.785445 | − | 0.179273i | ||||
\(265\) | 1.27019 | − | 5.56509i | 0.0780275 | − | 0.341861i | ||||
\(266\) | 4.18250 | + | 5.24469i | 0.256445 | + | 0.321572i | ||||
\(267\) | 8.78508 | − | 11.0161i | 0.537638 | − | 0.674177i | ||||
\(268\) | 1.44019 | + | 6.30987i | 0.0879733 | + | 0.385436i | ||||
\(269\) | 2.60330 | + | 5.40581i | 0.158726 | + | 0.329598i | 0.965132 | − | 0.261765i | \(-0.0843044\pi\) |
−0.806406 | + | 0.591363i | \(0.798590\pi\) | |||||||
\(270\) | −22.7679 | + | 10.9645i | −1.38561 | + | 0.667276i | ||||
\(271\) | 11.8750 | + | 2.71038i | 0.721352 | + | 0.164644i | 0.567409 | − | 0.823436i | \(-0.307946\pi\) |
0.153943 | + | 0.988080i | \(0.450803\pi\) | |||||||
\(272\) | −13.9383 | + | 28.9433i | −0.845136 | + | 1.75494i | ||||
\(273\) | 15.3262i | 0.927586i | ||||||||
\(274\) | −20.1965 | − | 9.72611i | −1.22011 | − | 0.587576i | ||||
\(275\) | 8.89878 | + | 7.09654i | 0.536617 | + | 0.427937i | ||||
\(276\) | 2.53006 | + | 2.01766i | 0.152292 | + | 0.121449i | ||||
\(277\) | 21.2791 | + | 10.2475i | 1.27854 | + | 0.615711i | 0.945014 | − | 0.327030i | \(-0.106048\pi\) |
0.333524 | + | 0.942742i | \(0.391762\pi\) | |||||||
\(278\) | 23.7984i | 1.42733i | ||||||||
\(279\) | −0.180673 | + | 0.375171i | −0.0108166 | + | 0.0224609i | ||||
\(280\) | −13.9127 | − | 3.17549i | −0.831444 | − | 0.189772i | ||||
\(281\) | 15.4287 | − | 7.43009i | 0.920402 | − | 0.443242i | 0.0871871 | − | 0.996192i | \(-0.472212\pi\) |
0.833214 | + | 0.552950i | \(0.186498\pi\) | |||||||
\(282\) | 7.95146 | + | 16.5114i | 0.473502 | + | 0.983238i | ||||
\(283\) | −0.169991 | − | 0.744779i | −0.0101049 | − | 0.0442725i | 0.969624 | − | 0.244600i | \(-0.0786566\pi\) |
−0.979729 | + | 0.200327i | \(0.935799\pi\) | |||||||
\(284\) | 0.588744 | − | 0.738262i | 0.0349355 | − | 0.0438078i | ||||
\(285\) | −5.33851 | − | 6.69428i | −0.316226 | − | 0.396535i | ||||
\(286\) | −5.51816 | + | 24.1766i | −0.326295 | + | 1.42959i | ||||
\(287\) | −6.22196 | + | 1.42012i | −0.367270 | + | 0.0838271i | ||||
\(288\) | 1.00997 | − | 0.805422i | 0.0595129 | − | 0.0474599i | ||||
\(289\) | −26.7984 | −1.57637 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −26.7984 | −1.57095 | ||||||||
\(292\) | −0.140995 | + | 0.112440i | −0.00825113 | + | 0.00658006i | ||||
\(293\) | −17.0341 | + | 3.88792i | −0.995141 | + | 0.227134i | −0.688929 | − | 0.724829i | \(-0.741919\pi\) |
−0.306212 | + | 0.951963i | \(0.599062\pi\) | |||||||
\(294\) | 1.16513 | − | 5.10479i | 0.0679520 | − | 0.297717i | ||||
\(295\) | −9.05798 | − | 11.3583i | −0.527376 | − | 0.661308i | ||||
\(296\) | 12.1407 | − | 15.2239i | 0.705663 | − | 0.884873i | ||||
\(297\) | −4.40555 | − | 19.3020i | −0.255636 | − | 1.12001i | ||||
\(298\) | 5.18243 | + | 10.7614i | 0.300210 | + | 0.623392i | ||||
\(299\) | 12.3507 | − | 5.94777i | 0.714257 | − | 0.343968i | ||||
\(300\) | −3.06702 | − | 0.700028i | −0.177075 | − | 0.0404161i | ||||
\(301\) | 2.68155 | − | 5.56829i | 0.154562 | − | 0.320951i | ||||
\(302\) | − | 29.6525i | − | 1.70631i | ||||||
\(303\) | 2.35877 | + | 1.13592i | 0.135508 | + | 0.0652570i | ||||
\(304\) | 7.03648 | + | 5.61141i | 0.403570 | + | 0.321836i | ||||
\(305\) | −3.61052 | − | 2.87930i | −0.206738 | − | 0.164868i | ||||
\(306\) | 3.68512 | + | 1.77466i | 0.210664 | + | 0.101450i | ||||
\(307\) | − | 3.18034i | − | 0.181512i | −0.995873 | − | 0.0907558i | \(-0.971072\pi\) | ||
0.995873 | − | 0.0907558i | \(-0.0289283\pi\) | |||||||
\(308\) | −2.16942 | + | 4.50484i | −0.123614 | + | 0.256687i | ||||
\(309\) | −20.7915 | − | 4.74553i | −1.18279 | − | 0.269964i | ||||
\(310\) | −4.53588 | + | 2.18436i | −0.257620 | + | 0.124063i | ||||
\(311\) | −3.94408 | − | 8.18996i | −0.223648 | − | 0.464410i | 0.758708 | − | 0.651431i | \(-0.225831\pi\) |
−0.982356 | + | 0.187021i | \(0.940117\pi\) | |||||||
\(312\) | 3.41041 | + | 14.9420i | 0.193076 | + | 0.845923i | ||||
\(313\) | −15.0200 | + | 18.8345i | −0.848979 | + | 1.06459i | 0.148157 | + | 0.988964i | \(0.452666\pi\) |
−0.997137 | + | 0.0756224i | \(0.975906\pi\) | |||||||
\(314\) | 5.61141 | + | 7.03648i | 0.316670 | + | 0.397092i | ||||
\(315\) | −0.542438 | + | 2.37658i | −0.0305629 | + | 0.133905i | ||||
\(316\) | 3.06702 | − | 0.700028i | 0.172534 | − | 0.0393797i | ||||
\(317\) | −11.1738 | + | 8.91079i | −0.627582 | + | 0.500480i | −0.884860 | − | 0.465858i | \(-0.845746\pi\) |
0.257278 | + | 0.966337i | \(0.417174\pi\) | |||||||
\(318\) | −5.23607 | −0.293624 | ||||||||
\(319\) | 0 | 0 | ||||||||
\(320\) | −12.0902 | −0.675861 | ||||||||
\(321\) | 14.2140 | − | 11.3353i | 0.793346 | − | 0.632672i | ||||
\(322\) | 11.4147 | − | 2.60532i | 0.636114 | − | 0.145189i | ||||
\(323\) | −2.73045 | + | 11.9629i | −0.151926 | + | 0.665631i | ||||
\(324\) | 2.97026 | + | 3.72459i | 0.165015 | + | 0.206922i | ||||
\(325\) | −8.30877 | + | 10.4189i | −0.460888 | + | 0.577935i | ||||
\(326\) | 8.29347 | + | 36.3361i | 0.459333 | + | 2.01247i | ||||
\(327\) | 11.6665 | + | 24.2257i | 0.645159 | + | 1.33969i | ||||
\(328\) | −5.74995 | + | 2.76903i | −0.317488 | + | 0.152894i | ||||
\(329\) | 15.2600 | + | 3.48300i | 0.841313 | + | 0.192024i | ||||
\(330\) | 11.7298 | − | 24.3572i | 0.645704 | − | 1.34082i | ||||
\(331\) | − | 1.18034i | − | 0.0648773i | −0.999474 | − | 0.0324387i | \(-0.989673\pi\) | ||
0.999474 | − | 0.0324387i | \(-0.0103274\pi\) | |||||||
\(332\) | 4.42360 | + | 2.13030i | 0.242777 | + | 0.116915i | ||||
\(333\) | −2.60056 | − | 2.07388i | −0.142510 | − | 0.113648i | ||||
\(334\) | −24.6328 | − | 19.6440i | −1.34785 | − | 1.07487i | ||||
\(335\) | −26.9286 | − | 12.9682i | −1.47127 | − | 0.708526i | ||||
\(336\) | 17.5623i | 0.958102i | ||||||||
\(337\) | 10.4431 | − | 21.6853i | 0.568872 | − | 1.18127i | −0.395926 | − | 0.918282i | \(-0.629576\pi\) |
0.964798 | − | 0.262992i | \(-0.0847093\pi\) | |||||||
\(338\) | −7.79942 | − | 1.78017i | −0.424233 | − | 0.0968283i | ||||
\(339\) | 14.4967 | − | 6.98126i | 0.787355 | − | 0.379170i | ||||
\(340\) | 5.06506 | + | 10.5177i | 0.274691 | + | 0.570402i | ||||
\(341\) | −0.877683 | − | 3.84538i | −0.0475292 | − | 0.208239i | ||||
\(342\) | 0.714456 | − | 0.895899i | 0.0386333 | − | 0.0484447i | ||||
\(343\) | −12.5475 | − | 15.7341i | −0.677501 | − | 0.849559i | ||||
\(344\) | 1.37526 | − | 6.02539i | 0.0741488 | − | 0.324867i | ||||
\(345\) | −14.5696 | + | 3.32541i | −0.784400 | + | 0.179034i | ||||
\(346\) | −8.96928 | + | 7.15276i | −0.482191 | + | 0.384535i | ||||
\(347\) | −8.12461 | −0.436152 | −0.218076 | − | 0.975932i | \(-0.569978\pi\) | ||||
−0.218076 | + | 0.975932i | \(0.569978\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 13.4721 | 0.721147 | 0.360573 | − | 0.932731i | \(-0.382581\pi\) | ||||
0.360573 | + | 0.932731i | \(0.382581\pi\) | |||||||
\(350\) | −8.89878 | + | 7.09654i | −0.475660 | + | 0.379326i | ||||
\(351\) | 22.5992 | − | 5.15811i | 1.20625 | − | 0.275320i | ||||
\(352\) | −2.72278 | + | 11.9293i | −0.145125 | + | 0.635833i | ||||
\(353\) | −13.1710 | − | 16.5159i | −0.701021 | − | 0.879052i | 0.296079 | − | 0.955164i | \(-0.404321\pi\) |
−0.997099 | + | 0.0761116i | \(0.975749\pi\) | |||||||
\(354\) | −8.30877 | + | 10.4189i | −0.441606 | + | 0.553757i | ||||
\(355\) | 0.970343 | + | 4.25135i | 0.0515004 | + | 0.225638i | ||||
\(356\) | 2.33515 | + | 4.84898i | 0.123763 | + | 0.256996i | ||||
\(357\) | −21.5730 | + | 10.3890i | −1.14177 | + | 0.549846i | ||||
\(358\) | −25.2395 | − | 5.76074i | −1.33395 | − | 0.304465i | ||||
\(359\) | 12.2512 | − | 25.4398i | 0.646592 | − | 1.34266i | −0.277586 | − | 0.960701i | \(-0.589534\pi\) |
0.924178 | − | 0.381962i | \(-0.124751\pi\) | |||||||
\(360\) | 2.43769i | 0.128478i | ||||||||
\(361\) | −14.0212 | − | 6.75223i | −0.737955 | − | 0.355381i | ||||
\(362\) | −15.1099 | − | 12.0497i | −0.794157 | − | 0.633319i | ||||
\(363\) | 2.64413 | + | 2.10862i | 0.138781 | + | 0.110674i | ||||
\(364\) | −5.27436 | − | 2.54000i | −0.276452 | − | 0.133132i | ||||
\(365\) | − | 0.832816i | − | 0.0435916i | ||||||
\(366\) | −1.83796 | + | 3.81657i | −0.0960718 | + | 0.199495i | ||||
\(367\) | −6.11330 | − | 1.39532i | −0.319111 | − | 0.0728351i | 0.0599650 | − | 0.998200i | \(-0.480901\pi\) |
−0.379076 | + | 0.925365i | \(0.623758\pi\) | |||||||
\(368\) | 14.1526 | − | 6.81553i | 0.737755 | − | 0.355284i | ||||
\(369\) | 0.473007 | + | 0.982209i | 0.0246238 | + | 0.0511318i | ||||
\(370\) | −8.94863 | − | 39.2065i | −0.465217 | − | 2.03825i | ||||
\(371\) | −2.78833 | + | 3.49646i | −0.144763 | + | 0.181527i | ||||
\(372\) | 0.679710 | + | 0.852329i | 0.0352413 | + | 0.0441912i | ||||
\(373\) | −4.09037 | + | 17.9211i | −0.211791 | + | 0.927919i | 0.751558 | + | 0.659668i | \(0.229303\pi\) |
−0.963349 | + | 0.268251i | \(0.913554\pi\) | |||||||
\(374\) | −37.7713 | + | 8.62105i | −1.95311 | + | 0.445784i | ||||
\(375\) | −6.69428 | + | 5.33851i | −0.345691 | + | 0.275679i | ||||
\(376\) | 15.6525 | 0.807215 | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | 19.7984 | 1.01832 | ||||||||
\(379\) | −29.4815 | + | 23.5107i | −1.51436 | + | 1.20766i | −0.601851 | + | 0.798609i | \(0.705570\pi\) |
−0.912510 | + | 0.409054i | \(0.865859\pi\) | |||||||
\(380\) | 3.18851 | − | 0.727757i | 0.163567 | − | 0.0373331i | ||||
\(381\) | −0.700028 | + | 3.06702i | −0.0358635 | + | 0.157128i | ||||
\(382\) | −12.1407 | − | 15.2239i | −0.621171 | − | 0.778924i | ||||
\(383\) | 13.8077 | − | 17.3144i | 0.705543 | − | 0.884722i | −0.291881 | − | 0.956455i | \(-0.594281\pi\) |
0.997424 | + | 0.0717321i | \(0.0228527\pi\) | |||||||
\(384\) | 4.90312 | + | 21.4820i | 0.250212 | + | 1.09625i | ||||
\(385\) | −10.0184 | − | 20.8035i | −0.510587 | − | 1.06025i | ||||
\(386\) | −5.14291 | + | 2.47670i | −0.261767 | + | 0.126061i | ||||
\(387\) | −1.02926 | − | 0.234922i | −0.0523202 | − | 0.0119417i | ||||
\(388\) | 4.44126 | − | 9.22238i | 0.225471 | − | 0.468195i | ||||
\(389\) | 21.1246i | 1.07106i | 0.844516 | + | 0.535530i | \(0.179888\pi\) | ||||
−0.844516 | + | 0.535530i | \(0.820112\pi\) | |||||||
\(390\) | 28.5179 | + | 13.7335i | 1.44406 | + | 0.695423i | ||||
\(391\) | 16.7440 | + | 13.3529i | 0.846782 | + | 0.675286i | ||||
\(392\) | −3.49646 | − | 2.78833i | −0.176598 | − | 0.140832i | ||||
\(393\) | 1.93339 | + | 0.931070i | 0.0975265 | + | 0.0469663i | ||||
\(394\) | − | 31.8885i | − | 1.60652i | ||||||
\(395\) | −6.30340 | + | 13.0892i | −0.317159 | + | 0.658587i | ||||
\(396\) | 0.832688 | + | 0.190056i | 0.0418441 | + | 0.00955065i | ||||
\(397\) | 28.7808 | − | 13.8601i | 1.44447 | − | 0.695618i | 0.462842 | − | 0.886441i | \(-0.346830\pi\) |
0.981625 | + | 0.190822i | \(0.0611154\pi\) | |||||||
\(398\) | −0.599613 | − | 1.24511i | −0.0300559 | − | 0.0624116i | ||||
\(399\) | 1.49272 | + | 6.54002i | 0.0747293 | + | 0.327410i | ||||
\(400\) | −9.52101 | + | 11.9390i | −0.476050 | + | 0.596948i | ||||
\(401\) | −20.6181 | − | 25.8543i | −1.02962 | − | 1.29110i | −0.955859 | − | 0.293826i | \(-0.905071\pi\) |
−0.0737604 | − | 0.997276i | \(-0.523500\pi\) | |||||||
\(402\) | −6.10072 | + | 26.7290i | −0.304276 | + | 1.33312i | ||||
\(403\) | 4.50225 | − | 1.02761i | 0.224273 | − | 0.0511889i | ||||
\(404\) | −0.781831 | + | 0.623490i | −0.0388976 | + | 0.0310198i | ||||
\(405\) | −22.0000 | −1.09319 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 31.5066 | 1.56172 | ||||||||
\(408\) | −18.7204 | + | 14.9290i | −0.926797 | + | 0.739096i | ||||
\(409\) | −0.568960 | + | 0.129861i | −0.0281333 | + | 0.00642124i | −0.236564 | − | 0.971616i | \(-0.576021\pi\) |
0.208431 | + | 0.978037i | \(0.433164\pi\) | |||||||
\(410\) | −2.93290 | + | 12.8499i | −0.144846 | + | 0.634610i | ||||
\(411\) | −13.9764 | − | 17.5259i | −0.689405 | − | 0.864487i | ||||
\(412\) | 5.07888 | − | 6.36872i | 0.250219 | − | 0.313764i | ||||
\(413\) | 2.53273 | + | 11.0966i | 0.124627 | + | 0.546028i | ||||
\(414\) | −0.867767 | − | 1.80194i | −0.0426484 | − | 0.0885604i | ||||
\(415\) | −20.4284 | + | 9.83778i | −1.00279 | + | 0.482917i | ||||
\(416\) | −13.9670 | − | 3.18789i | −0.684791 | − | 0.156299i | ||||
\(417\) | −10.3257 | + | 21.4416i | −0.505653 | + | 1.05000i | ||||
\(418\) | 10.8541i | 0.530891i | ||||||||
\(419\) | 2.30856 | + | 1.11174i | 0.112780 | + | 0.0543122i | 0.489423 | − | 0.872046i | \(-0.337207\pi\) |
−0.376643 | + | 0.926359i | \(0.622922\pi\) | |||||||
\(420\) | 4.98962 | + | 3.97909i | 0.243469 | + | 0.194160i | ||||
\(421\) | −1.53674 | − | 1.22551i | −0.0748959 | − | 0.0597275i | 0.585326 | − | 0.810798i | \(-0.300966\pi\) |
−0.660222 | + | 0.751070i | \(0.729538\pi\) | |||||||
\(422\) | 28.6493 | + | 13.7968i | 1.39463 | + | 0.671618i | ||||
\(423\) | − | 2.67376i | − | 0.130003i | ||||||
\(424\) | −1.94039 | + | 4.02926i | −0.0942335 | + | 0.195678i | ||||
\(425\) | −20.2977 | − | 4.63281i | −0.984582 | − | 0.224724i | ||||
\(426\) | 3.60388 | − | 1.73553i | 0.174608 | − | 0.0840869i | ||||
\(427\) | 1.56981 | + | 3.25974i | 0.0759682 | + | 0.157750i | ||||
\(428\) | 1.54525 | + | 6.77016i | 0.0746923 | + | 0.327248i | ||||
\(429\) | −15.4615 | + | 19.3881i | −0.746490 | + | 0.936069i | ||||
\(430\) | −7.95818 | − | 9.97924i | −0.383778 | − | 0.481242i | ||||
\(431\) | 7.69850 | − | 33.7293i | 0.370824 | − | 1.62468i | −0.353647 | − | 0.935379i | \(-0.615058\pi\) |
0.724470 | − | 0.689306i | \(-0.242084\pi\) | |||||||
\(432\) | 25.8963 | − | 5.91067i | 1.24594 | − | 0.284377i | ||||
\(433\) | −9.86518 | + | 7.86722i | −0.474090 | + | 0.378074i | −0.831187 | − | 0.555993i | \(-0.812338\pi\) |
0.357097 | + | 0.934067i | \(0.383767\pi\) | |||||||
\(434\) | 3.94427 | 0.189331 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −10.2705 | −0.491868 | ||||||||
\(437\) | 4.69099 | − | 3.74094i | 0.224400 | − | 0.178953i | ||||
\(438\) | −0.744779 | + | 0.169991i | −0.0355869 | + | 0.00812248i | ||||
\(439\) | −0.679963 | + | 2.97911i | −0.0324529 | + | 0.142185i | −0.988559 | − | 0.150836i | \(-0.951804\pi\) |
0.956106 | + | 0.293021i | \(0.0946607\pi\) | |||||||
\(440\) | −14.3965 | − | 18.0526i | −0.686326 | − | 0.860625i | ||||
\(441\) | −0.476304 | + | 0.597266i | −0.0226811 | + | 0.0284412i | ||||
\(442\) | −10.0937 | − | 44.2234i | −0.480108 | − | 2.10349i | ||||
\(443\) | 5.67961 | + | 11.7938i | 0.269847 | + | 0.560342i | 0.991223 | − | 0.132201i | \(-0.0422045\pi\) |
−0.721376 | + | 0.692543i | \(0.756490\pi\) | |||||||
\(444\) | −7.84582 | + | 3.77835i | −0.372346 | + | 0.179312i | ||||
\(445\) | −24.2310 | − | 5.53056i | −1.14866 | − | 0.262174i | ||||
\(446\) | 12.8657 | − | 26.7160i | 0.609210 | − | 1.26504i | ||||
\(447\) | 11.9443i | 0.564945i | ||||||||
\(448\) | 8.53410 | + | 4.10981i | 0.403198 | + | 0.194170i | ||||
\(449\) | −11.0431 | − | 8.80655i | −0.521155 | − | 0.415607i | 0.327264 | − | 0.944933i | \(-0.393873\pi\) |
−0.848418 | + | 0.529326i | \(0.822445\pi\) | |||||||
\(450\) | 1.52009 | + | 1.21223i | 0.0716579 | + | 0.0571452i | ||||
\(451\) | −9.30362 | − | 4.48039i | −0.438090 | − | 0.210973i | ||||
\(452\) | 6.14590i | 0.289079i | ||||||||
\(453\) | 12.8657 | − | 26.7160i | 0.604485 | − | 1.25523i | ||||
\(454\) | −23.4862 | − | 5.36057i | −1.10226 | − | 0.251584i | ||||
\(455\) | 24.3572 | − | 11.7298i | 1.14188 | − | 0.549902i | ||||
\(456\) | 2.91058 | + | 6.04388i | 0.136300 | + | 0.283031i | ||||
\(457\) | 1.17754 | + | 5.15912i | 0.0550828 | + | 0.241333i | 0.994973 | − | 0.100143i | \(-0.0319301\pi\) |
−0.939890 | + | 0.341477i | \(0.889073\pi\) | |||||||
\(458\) | −15.8469 | + | 19.8713i | −0.740476 | + | 0.928527i | ||||
\(459\) | 22.5795 | + | 28.3139i | 1.05392 | + | 1.32158i | ||||
\(460\) | 1.27019 | − | 5.56509i | 0.0592231 | − | 0.259474i | ||||
\(461\) | 7.77867 | − | 1.77543i | 0.362289 | − | 0.0826901i | −0.0375018 | − | 0.999297i | \(-0.511940\pi\) |
0.399791 | + | 0.916607i | \(0.369083\pi\) | |||||||
\(462\) | −16.5595 | + | 13.2057i | −0.770416 | + | 0.614386i | ||||
\(463\) | 2.70820 | 0.125861 | 0.0629305 | − | 0.998018i | \(-0.479955\pi\) | ||||
0.0629305 | + | 0.998018i | \(0.479955\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −5.03444 | −0.233467 | ||||||||
\(466\) | −13.6167 | + | 10.8590i | −0.630781 | + | 0.503031i | ||||
\(467\) | 0.0543309 | − | 0.0124007i | 0.00251413 | − | 0.000573834i | −0.221264 | − | 0.975214i | \(-0.571018\pi\) |
0.223778 | + | 0.974640i | \(0.428161\pi\) | |||||||
\(468\) | −0.222521 | + | 0.974928i | −0.0102860 | + | 0.0450661i | ||||
\(469\) | 14.5999 | + | 18.3077i | 0.674160 | + | 0.845370i | ||||
\(470\) | 20.1551 | − | 25.2737i | 0.929685 | − | 1.16579i | ||||
\(471\) | 2.00269 | + | 8.77435i | 0.0922790 | + | 0.404301i | ||||
\(472\) | 4.93845 | + | 10.2548i | 0.227311 | + | 0.472015i | ||||
\(473\) | 9.00969 | − | 4.33884i | 0.414266 | − | 0.199500i | ||||
\(474\) | 12.9921 | + | 2.96537i | 0.596748 | + | 0.136204i | ||||
\(475\) | −2.53076 | + | 5.25519i | −0.116119 | + | 0.241124i | ||||
\(476\) | − | 9.14590i | − | 0.419202i | ||||||
\(477\) | 0.688279 | + | 0.331458i | 0.0315141 | + | 0.0151764i | ||||
\(478\) | 18.6499 | + | 14.8728i | 0.853026 | + | 0.680266i | ||||
\(479\) | 8.74114 | + | 6.97083i | 0.399393 | + | 0.318505i | 0.802505 | − | 0.596645i | \(-0.203500\pi\) |
−0.403112 | + | 0.915151i | \(0.632072\pi\) | |||||||
\(480\) | 14.0714 | + | 6.77641i | 0.642267 | + | 0.309299i | ||||
\(481\) | 36.8885i | 1.68197i | ||||||||
\(482\) | −18.7111 | + | 38.8539i | −0.852266 | + | 1.76975i | ||||
\(483\) | 11.4147 | + | 2.60532i | 0.519385 | + | 0.118546i | ||||
\(484\) | −1.16387 | + | 0.560489i | −0.0529031 | + | 0.0254768i | ||||
\(485\) | 20.5099 | + | 42.5893i | 0.931307 | + | 1.93388i | ||||
\(486\) | −1.42012 | − | 6.22196i | −0.0644180 | − | 0.282234i | ||||
\(487\) | 13.9897 | − | 17.5425i | 0.633933 | − | 0.794926i | −0.356297 | − | 0.934373i | \(-0.615961\pi\) |
0.990230 | + | 0.139446i | \(0.0445323\pi\) | |||||||
\(488\) | 2.25581 | + | 2.82869i | 0.102116 | + | 0.128049i | ||||
\(489\) | −8.29347 | + | 36.3361i | −0.375044 | + | 1.64317i | ||||
\(490\) | −9.00450 | + | 2.05522i | −0.406782 | + | 0.0928453i | ||||
\(491\) | −19.6432 | + | 15.6649i | −0.886486 | + | 0.706949i | −0.956853 | − | 0.290572i | \(-0.906154\pi\) |
0.0703673 | + | 0.997521i | \(0.477583\pi\) | |||||||
\(492\) | 2.85410 | 0.128673 | ||||||||
\(493\) | 0 | 0 | ||||||||
\(494\) | −12.7082 | −0.571769 | ||||||||
\(495\) | −3.08376 | + | 2.45921i | −0.138605 | + | 0.110533i | ||||
\(496\) | 5.15912 | − | 1.17754i | 0.231651 | − | 0.0528729i | ||||
\(497\) | 0.760222 | − | 3.33075i | 0.0341006 | − | 0.149405i | ||||
\(498\) | 12.9676 | + | 16.2608i | 0.581091 | + | 0.728665i | ||||
\(499\) | 22.2504 | − | 27.9012i | 0.996066 | − | 1.24903i | 0.0276681 | − | 0.999617i | \(-0.491192\pi\) |
0.968398 | − | 0.249410i | \(-0.0802367\pi\) | |||||||
\(500\) | −0.727757 | − | 3.18851i | −0.0325463 | − | 0.142595i | ||||
\(501\) | −13.6702 | − | 28.3864i | −0.610739 | − | 1.26821i | ||||
\(502\) | −16.9870 | + | 8.18049i | −0.758165 | + | 0.365113i | ||||
\(503\) | 18.7874 | + | 4.28809i | 0.837687 | + | 0.191197i | 0.619783 | − | 0.784774i | \(-0.287221\pi\) |
0.217904 | + | 0.975970i | \(0.430078\pi\) | |||||||
\(504\) | 0.828644 | − | 1.72070i | 0.0369107 | − | 0.0766460i | ||||
\(505\) | − | 4.61803i | − | 0.205500i | ||||||
\(506\) | 17.0682 | + | 8.21961i | 0.758774 | + | 0.365406i | ||||
\(507\) | −6.25465 | − | 4.98792i | −0.277779 | − | 0.221521i | ||||
\(508\) | −0.939469 | − | 0.749202i | −0.0416822 | − | 0.0332404i | ||||
\(509\) | −10.3050 | − | 4.96263i | −0.456761 | − | 0.219965i | 0.191332 | − | 0.981525i | \(-0.438719\pi\) |
−0.648094 | + | 0.761561i | \(0.724433\pi\) | |||||||
\(510\) | 49.4508i | 2.18972i | ||||||||
\(511\) | −0.283099 | + | 0.587860i | −0.0125235 | + | 0.0260054i | ||||
\(512\) | 5.15912 | + | 1.17754i | 0.228003 | + | 0.0520402i | ||||
\(513\) | 9.14114 | − | 4.40214i | 0.403591 | − | 0.194359i | ||||
\(514\) | 0.575433 | + | 1.19490i | 0.0253813 | + | 0.0527047i | ||||
\(515\) | 8.37080 | + | 36.6749i | 0.368862 | + | 1.61609i | ||||
\(516\) | −1.72328 | + | 2.16093i | −0.0758633 | + | 0.0951296i | ||||
\(517\) | 15.7907 | + | 19.8009i | 0.694472 | + | 0.870840i | ||||
\(518\) | −7.01087 | + | 30.7166i | −0.308040 | + | 1.34961i | ||||
\(519\) | −11.1845 | + | 2.55279i | −0.490945 | + | 0.112055i | ||||
\(520\) | 21.1364 | − | 16.8557i | 0.926891 | − | 0.739171i | ||||
\(521\) | 7.09017 | 0.310626 | 0.155313 | − | 0.987865i | \(-0.450361\pi\) | ||||
0.155313 | + | 0.987865i | \(0.450361\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −22.6180 | −0.989018 | −0.494509 | − | 0.869173i | \(-0.664652\pi\) | ||||
−0.494509 | + | 0.869173i | \(0.664652\pi\) | |||||||
\(524\) | −0.640836 | + | 0.511050i | −0.0279951 | + | 0.0223253i | ||||
\(525\) | −11.0966 | + | 2.53273i | −0.484295 | + | 0.110537i | ||||
\(526\) | 1.18520 | − | 5.19270i | 0.0516772 | − | 0.226412i | ||||
\(527\) | 4.49834 | + | 5.64074i | 0.195951 | + | 0.245715i | ||||
\(528\) | −17.7173 | + | 22.2168i | −0.771048 | + | 0.966864i | ||||
\(529\) | 2.78771 | + | 12.2138i | 0.121205 | + | 0.531033i | ||||
\(530\) | 4.00738 | + | 8.32141i | 0.174069 | + | 0.361459i | ||||
\(531\) | 1.75173 | − | 0.843588i | 0.0760185 | − | 0.0366086i | ||||
\(532\) | −2.49806 | − | 0.570167i | −0.108305 | − | 0.0247199i | ||||
\(533\) | 5.24573 | − | 10.8929i | 0.227218 | − | 0.471822i | ||||
\(534\) | 22.7984i | 0.986582i | ||||||||
\(535\) | −28.8931 | − | 13.9142i | −1.24916 | − | 0.601562i | ||||
\(536\) | 18.3077 | + | 14.5999i | 0.790772 | + | 0.630619i | ||||
\(537\) | −20.2405 | − | 16.1412i | −0.873441 | − | 0.696546i | ||||
\(538\) | −8.74679 | − | 4.21223i | −0.377101 | − | 0.181602i | ||||
\(539\) | − | 7.23607i | − | 0.311680i | ||||||
\(540\) | 4.18805 | − | 8.69658i | 0.180225 | − | 0.374241i | ||||
\(541\) | 33.7293 | + | 7.69850i | 1.45014 | + | 0.330984i | 0.873823 | − | 0.486244i | \(-0.161633\pi\) |
0.576314 | + | 0.817228i | \(0.304490\pi\) | |||||||
\(542\) | −17.7565 | + | 8.55107i | −0.762706 | + | 0.367300i | ||||
\(543\) | −8.38534 | − | 17.4123i | −0.359849 | − | 0.747235i | ||||
\(544\) | −4.98046 | − | 21.8208i | −0.213535 | − | 0.935559i | ||||
\(545\) | 29.5718 | − | 37.0819i | 1.26672 | − | 1.58842i | ||||
\(546\) | −15.4615 | − | 19.3881i | −0.661693 | − | 0.829736i | ||||
\(547\) | −2.14021 | + | 9.37689i | −0.0915089 | + | 0.400927i | −0.999850 | − | 0.0173027i | \(-0.994492\pi\) |
0.908341 | + | 0.418230i | \(0.137349\pi\) | |||||||
\(548\) | 8.34763 | − | 1.90529i | 0.356593 | − | 0.0813901i | ||||
\(549\) | 0.483198 | − | 0.385338i | 0.0206224 | − | 0.0164458i | ||||
\(550\) | −18.4164 | −0.785278 | ||||||||
\(551\) | 0 | 0 | ||||||||
\(552\) | 11.7082 | 0.498334 | ||||||||
\(553\) | 8.89878 | − | 7.09654i | 0.378415 | − | 0.301776i | ||||
\(554\) | −37.2567 | + | 8.50359i | −1.58288 | + | 0.361283i | ||||
\(555\) | 8.94863 | − | 39.2065i | 0.379848 | − | 1.66422i | ||||
\(556\) | −5.66763 | − | 7.10698i | −0.240361 | − | 0.301403i | ||||
\(557\) | −20.2675 | + | 25.4147i | −0.858762 | + | 1.07685i | 0.137502 | + | 0.990501i | \(0.456093\pi\) |
−0.996265 | + | 0.0863525i | \(0.972479\pi\) | |||||||
\(558\) | −0.149926 | − | 0.656869i | −0.00634688 | − | 0.0278075i | ||||
\(559\) | 5.08000 | + | 10.5487i | 0.214861 | + | 0.446164i | ||||
\(560\) | 27.9109 | − | 13.4412i | 1.17945 | − | 0.567993i | ||||
\(561\) | −37.7713 | − | 8.62105i | −1.59470 | − | 0.363981i | ||||
\(562\) | −12.0221 | + | 24.9642i | −0.507123 | + | 1.05305i | ||||
\(563\) | − | 45.3951i | − | 1.91318i | −0.291443 | − | 0.956588i | \(-0.594135\pi\) | ||
0.291443 | − | 0.956588i | \(-0.405865\pi\) | |||||||
\(564\) | −6.30678 | − | 3.03719i | −0.265563 | − | 0.127889i | ||||
\(565\) | −22.1899 | − | 17.6959i | −0.933537 | − | 0.744471i | ||||
\(566\) | 0.966397 | + | 0.770676i | 0.0406207 | + | 0.0323939i | ||||
\(567\) | 15.5292 | + | 7.47845i | 0.652163 | + | 0.314065i | ||||
\(568\) | − | 3.41641i | − | 0.143349i | ||||||
\(569\) | 6.91796 | − | 14.3653i | 0.290016 | − | 0.602224i | −0.704154 | − | 0.710047i | \(-0.748674\pi\) |
0.994170 | + | 0.107823i | \(0.0343879\pi\) | |||||||
\(570\) | 13.5068 | + | 3.08283i | 0.565736 | + | 0.129125i | ||||
\(571\) | −3.15932 | + | 1.52145i | −0.132213 | + | 0.0636706i | −0.498821 | − | 0.866705i | \(-0.666233\pi\) |
0.366608 | + | 0.930376i | \(0.380519\pi\) | |||||||
\(572\) | −4.10981 | − | 8.53410i | −0.171840 | − | 0.356829i | ||||
\(573\) | −4.33296 | − | 18.9839i | −0.181012 | − | 0.793065i | ||||
\(574\) | 6.43830 | − | 8.07338i | 0.268730 | − | 0.336976i | ||||
\(575\) | 6.34734 | + | 7.95931i | 0.264702 | + | 0.331926i | ||||
\(576\) | 0.360046 | − | 1.57747i | 0.0150019 | − | 0.0657278i | ||||
\(577\) | −7.05464 | + | 1.61018i | −0.293689 | + | 0.0670325i | −0.366827 | − | 0.930289i | \(-0.619556\pi\) |
0.0731380 | + | 0.997322i | \(0.476699\pi\) | |||||||
\(578\) | 33.9007 | − | 27.0349i | 1.41009 | − | 1.12451i | ||||
\(579\) | −5.70820 | −0.237225 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 17.7639 | 0.736972 | ||||||||
\(582\) | 33.9007 | − | 27.0349i | 1.40523 | − | 1.12063i | ||||
\(583\) | −7.05464 | + | 1.61018i | −0.292174 | + | 0.0666867i | ||||
\(584\) | −0.145190 | + | 0.636117i | −0.00600799 | + | 0.0263227i | ||||
\(585\) | −2.87930 | − | 3.61052i | −0.119044 | − | 0.149277i | ||||
\(586\) | 17.6264 | − | 22.1028i | 0.728139 | − | 0.913057i | ||||
\(587\) | −9.87592 | − | 43.2692i | −0.407623 | − | 1.78591i | −0.595110 | − | 0.803645i | \(-0.702891\pi\) |
0.187487 | − | 0.982267i | \(-0.439966\pi\) | |||||||
\(588\) | 0.867767 | + | 1.80194i | 0.0357861 | + | 0.0743107i | ||||
\(589\) | 1.82112 | − | 0.877003i | 0.0750378 | − | 0.0361363i | ||||
\(590\) | 22.9172 | + | 5.23071i | 0.943487 | + | 0.215345i | ||||
\(591\) | 13.8359 | − | 28.7306i | 0.569134 | − | 1.18182i | ||||
\(592\) | 42.2705i | 1.73731i | ||||||||
\(593\) | −31.1396 | − | 14.9960i | −1.27875 | − | 0.615813i | −0.333680 | − | 0.942686i | \(-0.608291\pi\) |
−0.945068 | + | 0.326873i | \(0.894005\pi\) | |||||||
\(594\) | 25.0455 | + | 19.9731i | 1.02763 | + | 0.819508i | ||||
\(595\) | 33.0215 | + | 26.3338i | 1.35375 | + | 1.07958i | ||||
\(596\) | −4.11050 | − | 1.97951i | −0.168372 | − | 0.0810839i | ||||
\(597\) | − | 1.38197i | − | 0.0565601i | ||||||
\(598\) | −9.62369 | + | 19.9838i | −0.393542 | + | 0.817198i | ||||
\(599\) | −43.9389 | − | 10.0288i | −1.79530 | − | 0.409764i | −0.810821 | − | 0.585294i | \(-0.800979\pi\) |
−0.984474 | + | 0.175530i | \(0.943836\pi\) | |||||||
\(600\) | −10.2548 | + | 4.93845i | −0.418650 | + | 0.201611i | ||||
\(601\) | −17.4244 | − | 36.1821i | −0.710754 | − | 1.47590i | −0.872269 | − | 0.489027i | \(-0.837352\pi\) |
0.161514 | − | 0.986870i | \(-0.448362\pi\) | |||||||
\(602\) | 2.22521 | + | 9.74928i | 0.0906928 | + | 0.397351i | ||||
\(603\) | 2.49396 | − | 3.12733i | 0.101562 | − | 0.127355i | ||||
\(604\) | 7.06179 | + | 8.85521i | 0.287340 | + | 0.360313i | ||||
\(605\) | 1.32746 | − | 5.81599i | 0.0539690 | − | 0.236454i | ||||
\(606\) | −4.12986 | + | 0.942614i | −0.167764 | + | 0.0382911i | ||||
\(607\) | 28.1293 | − | 22.4324i | 1.14173 | − | 0.910501i | 0.144854 | − | 0.989453i | \(-0.453729\pi\) |
0.996878 | + | 0.0789516i | \(0.0251572\pi\) | |||||||
\(608\) | −6.27051 | −0.254303 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 7.47214 | 0.302538 | ||||||||
\(611\) | −23.1832 | + | 18.4880i | −0.937893 | + | 0.747945i | ||||
\(612\) | −1.52314 | + | 0.347646i | −0.0615691 | + | 0.0140527i | ||||
\(613\) | −8.79870 | + | 38.5496i | −0.355376 | + | 1.55701i | 0.409183 | + | 0.912452i | \(0.365814\pi\) |
−0.764559 | + | 0.644553i | \(0.777043\pi\) | |||||||
\(614\) | 3.20841 | + | 4.02323i | 0.129481 | + | 0.162364i | ||||
\(615\) | −8.21781 | + | 10.3048i | −0.331374 | + | 0.415530i | ||||
\(616\) | 4.02544 | + | 17.6366i | 0.162190 | + | 0.710599i | ||||
\(617\) | −3.54932 | − | 7.37023i | −0.142890 | − | 0.296714i | 0.817225 | − | 0.576318i | \(-0.195511\pi\) |
−0.960115 | + | 0.279604i | \(0.909797\pi\) | |||||||
\(618\) | 31.0894 | − | 14.9718i | 1.25060 | − | 0.602256i | ||||
\(619\) | −24.3189 | − | 5.55062i | −0.977458 | − | 0.223098i | −0.296187 | − | 0.955130i | \(-0.595715\pi\) |
−0.681271 | + | 0.732032i | \(0.738572\pi\) | |||||||
\(620\) | 0.834352 | − | 1.73255i | 0.0335084 | − | 0.0695809i | ||||
\(621\) | − | 17.7082i | − | 0.710606i | ||||||
\(622\) | 13.2516 | + | 6.38165i | 0.531342 | + | 0.255881i | ||||
\(623\) | 15.2239 | + | 12.1407i | 0.609934 | + | 0.486406i | ||||
\(624\) | −26.0119 | − | 20.7438i | −1.04131 | − | 0.830418i | ||||
\(625\) | 27.7794 | + | 13.3779i | 1.11118 | + | 0.535114i | ||||
\(626\) | − | 38.9787i | − | 1.55790i | ||||||
\(627\) | −4.70942 | + | 9.77921i | −0.188076 | + | 0.390544i | ||||
\(628\) | −3.35150 | − | 0.764959i | −0.133740 | − | 0.0305252i | ||||
\(629\) | −51.9239 | + | 25.0052i | −2.07034 | + | 0.997024i | ||||
\(630\) | −1.71136 | − | 3.55367i | −0.0681820 | − | 0.141581i | ||||
\(631\) | 5.16577 | + | 22.6327i | 0.205646 | + | 0.900995i | 0.967425 | + | 0.253158i | \(0.0814692\pi\) |
−0.761779 | + | 0.647837i | \(0.775674\pi\) | |||||||
\(632\) | 7.09654 | − | 8.89878i | 0.282285 | − | 0.353974i | ||||
\(633\) | 19.8260 | + | 24.8610i | 0.788011 | + | 0.988135i | ||||
\(634\) | 5.14571 | − | 22.5448i | 0.204362 | − | 0.895370i | ||||
\(635\) | 5.41002 | − | 1.23480i | 0.214690 | − | 0.0490016i | ||||
\(636\) | 1.56366 | − | 1.24698i | 0.0620033 | − | 0.0494460i | ||||
\(637\) | 8.47214 | 0.335678 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −0.583592 | −0.0230865 | ||||||||
\(640\) | 30.3876 | − | 24.2333i | 1.20118 | − | 0.957907i | ||||
\(641\) | −28.2186 | + | 6.44071i | −1.11457 | + | 0.254393i | −0.739867 | − | 0.672753i | \(-0.765111\pi\) |
−0.374700 | + | 0.927146i | \(0.622254\pi\) | |||||||
\(642\) | −6.54577 | + | 28.6789i | −0.258341 | + | 1.13186i | ||||
\(643\) | 6.59876 | + | 8.27459i | 0.260230 | + | 0.326318i | 0.894732 | − | 0.446603i | \(-0.147366\pi\) |
−0.634502 | + | 0.772921i | \(0.718795\pi\) | |||||||
\(644\) | −2.78833 | + | 3.49646i | −0.109876 | + | 0.137780i | ||||
\(645\) | −2.84024 | − | 12.4439i | −0.111834 | − | 0.489979i | ||||
\(646\) | −8.61437 | − | 17.8879i | −0.338928 | − | 0.703791i | ||||
\(647\) | −35.5632 | + | 17.1263i | −1.39813 | + | 0.673305i | −0.972782 | − | 0.231724i | \(-0.925564\pi\) |
−0.425351 | + | 0.905029i | \(0.639849\pi\) | |||||||
\(648\) | 16.8039 | + | 3.83539i | 0.660120 | + | 0.150668i | ||||
\(649\) | −7.99058 | + | 16.5926i | −0.313658 | + | 0.651317i | ||||
\(650\) | − | 21.5623i | − | 0.845743i | ||||||
\(651\) | 3.55367 | + | 1.71136i | 0.139279 | + | 0.0670733i | ||||
\(652\) | −11.1302 | − | 8.87604i | −0.435893 | − | 0.347613i | ||||
\(653\) | −21.9016 | − | 17.4659i | −0.857075 | − | 0.683494i | 0.0929495 | − | 0.995671i | \(-0.470370\pi\) |
−0.950024 | + | 0.312177i | \(0.898942\pi\) | |||||||
\(654\) | −39.1981 | − | 18.8768i | −1.53277 | − | 0.738141i | ||||
\(655\) | − | 3.78522i | − | 0.147901i | ||||||
\(656\) | 6.01107 | − | 12.4821i | 0.234693 | − | 0.487345i | ||||
\(657\) | 0.108662 | + | 0.0248013i | 0.00423930 | + | 0.000967592i | ||||
\(658\) | −22.8182 | + | 10.9886i | −0.889544 | + | 0.428382i | ||||
\(659\) | −10.8229 | − | 22.4740i | −0.421601 | − | 0.875463i | −0.998288 | − | 0.0584978i | \(-0.981369\pi\) |
0.576687 | − | 0.816965i | \(-0.304345\pi\) | |||||||
\(660\) | 2.29780 | + | 10.0673i | 0.0894419 | + | 0.391871i | ||||
\(661\) | 11.5039 | − | 14.4255i | 0.447450 | − | 0.561085i | −0.506039 | − | 0.862510i | \(-0.668891\pi\) |
0.953490 | + | 0.301425i | \(0.0974624\pi\) | |||||||
\(662\) | 1.19076 | + | 1.49317i | 0.0462802 | + | 0.0580335i | ||||
\(663\) | 10.0937 | − | 44.2234i | 0.392007 | − | 1.71749i | ||||
\(664\) | 17.3186 | − | 3.95285i | 0.672090 | − | 0.153400i | ||||
\(665\) | 9.25127 | − | 7.37764i | 0.358749 | − | 0.286093i | ||||
\(666\) | 5.38197 | 0.208547 | ||||||||
\(667\) | 0 | 0 | ||||||||
\(668\) | 12.0344 | 0.465627 | ||||||||
\(669\) | 23.1832 | − | 18.4880i | 0.896316 | − | 0.714788i | ||||
\(670\) | 47.1482 | − | 10.7613i | 1.82149 | − | 0.415744i | ||||
\(671\) | −1.30266 | + | 5.70733i | −0.0502886 | + | 0.220329i | ||||
\(672\) | −7.62906 | − | 9.56654i | −0.294298 | − | 0.369037i | ||||
\(673\) | −1.54135 | + | 1.93279i | −0.0594147 | + | 0.0745037i | −0.810651 | − | 0.585530i | \(-0.800887\pi\) |
0.751236 | + | 0.660034i | \(0.229458\pi\) | |||||||
\(674\) | 8.66592 | + | 37.9679i | 0.333799 | + | 1.46247i | ||||
\(675\) | 7.46921 | + | 15.5100i | 0.287490 | + | 0.596980i | ||||
\(676\) | 2.75312 | − | 1.32583i | 0.105889 | − | 0.0509935i | ||||
\(677\) | −12.5111 | − | 2.85557i | −0.480839 | − | 0.109748i | −0.0247710 | − | 0.999693i | \(-0.507886\pi\) |
−0.456068 | + | 0.889945i | \(0.650743\pi\) | |||||||
\(678\) | −11.2959 | + | 23.4562i | −0.433817 | + | 0.900831i | ||||
\(679\) | − | 37.0344i | − | 1.42125i | ||||||
\(680\) | 38.0534 | + | 18.3255i | 1.45928 | + | 0.702752i | ||||
\(681\) | −18.8345 | − | 15.0200i | −0.721738 | − | 0.575567i | ||||
\(682\) | 4.98962 | + | 3.97909i | 0.191062 | + | 0.152367i | ||||
\(683\) | −12.7450 | − | 6.13768i | −0.487674 | − | 0.234852i | 0.173854 | − | 0.984771i | \(-0.444378\pi\) |
−0.661529 | + | 0.749920i | \(0.730092\pi\) | |||||||
\(684\) | 0.437694i | 0.0167357i | ||||||||
\(685\) | −17.1562 | + | 35.6252i | −0.655505 | + | 1.36117i | ||||
\(686\) | 31.7459 | + | 7.24579i | 1.21206 | + | 0.276646i | ||||
\(687\) | −22.8994 | + | 11.0278i | −0.873666 | + | 0.420736i | ||||
\(688\) | 5.82116 | + | 12.0878i | 0.221930 | + | 0.460842i | ||||
\(689\) | −1.88523 | − | 8.25972i | −0.0718215 | − | 0.314670i | ||||
\(690\) | 15.0762 | − | 18.9050i | 0.573941 | − | 0.719699i | ||||
\(691\) | −26.0823 | − | 32.7062i | −0.992219 | − | 1.24420i | −0.969660 | − | 0.244457i | \(-0.921390\pi\) |
−0.0225587 | − | 0.999746i | \(-0.507181\pi\) | |||||||
\(692\) | 0.975079 | − | 4.27210i | 0.0370669 | − | 0.162401i | ||||
\(693\) | 3.01269 | − | 0.687628i | 0.114443 | − | 0.0261208i | ||||
\(694\) | 10.2779 | − | 8.19633i | 0.390143 | − | 0.311129i | ||||
\(695\) | 41.9787 | 1.59234 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 18.8885 | 0.715455 | ||||||||
\(698\) | −17.0427 | + | 13.5911i | −0.645074 | + | 0.514429i | ||||
\(699\) | −16.9797 | + | 3.87552i | −0.642233 | + | 0.146585i | ||||
\(700\) | 0.967415 | − | 4.23852i | 0.0365649 | − | 0.160201i | ||||
\(701\) | 24.2814 | + | 30.4479i | 0.917094 | + | 1.15000i | 0.988298 | + | 0.152538i | \(0.0487446\pi\) |
−0.0712034 | + | 0.997462i | \(0.522684\pi\) | |||||||
\(702\) | −23.3850 | + | 29.3238i | −0.882609 | + | 1.10676i | ||||
\(703\) | 3.59280 | + | 15.7411i | 0.135505 | + | 0.593686i | ||||
\(704\) | 6.64981 | + | 13.8085i | 0.250624 | + | 0.520426i | ||||
\(705\) | 29.1249 | − | 14.0258i | 1.09691 | − | 0.528243i | ||||
\(706\) | 33.3234 | + | 7.60584i | 1.25414 | + | 0.286250i | ||||
\(707\) | −1.56981 | + | 3.25974i | −0.0590386 | + | 0.122595i | ||||
\(708\) | − | 5.09017i | − | 0.191300i | ||||||
\(709\) | −3.14746 | − | 1.51574i | −0.118206 | − | 0.0569248i | 0.373846 | − | 0.927491i | \(-0.378039\pi\) |
−0.492052 | + | 0.870566i | \(0.663753\pi\) | |||||||
\(710\) | −5.51639 | − | 4.39917i | −0.207026 | − | 0.165098i | ||||
\(711\) | −1.52009 | − | 1.21223i | −0.0570079 | − | 0.0454623i | ||||
\(712\) | 17.5438 | + | 8.44864i | 0.657481 | + | 0.316626i | ||||
\(713\) | − | 3.52786i | − | 0.132120i | ||||||
\(714\) | 16.8098 | − | 34.9059i | 0.629091 | − | 1.30632i | ||||
\(715\) | 42.6459 | + | 9.73365i | 1.59487 | + | 0.364018i | ||||
\(716\) | 8.90927 | − | 4.29048i | 0.332955 | − | 0.160343i | ||||
\(717\) | 10.3499 | + | 21.4918i | 0.386524 | + | 0.802626i | ||||
\(718\) | 10.1663 | + | 44.5415i | 0.379403 | + | 1.66227i | ||||
\(719\) | −18.3971 | + | 23.0692i | −0.686094 | + | 0.860335i | −0.995900 | − | 0.0904651i | \(-0.971165\pi\) |
0.309805 | + | 0.950800i | \(0.399736\pi\) | |||||||
\(720\) | −3.29938 | − | 4.13729i | −0.122961 | − | 0.154188i | ||||
\(721\) | 6.55817 | − | 28.7332i | 0.244239 | − | 1.07008i | ||||
\(722\) | 24.5490 | − | 5.60315i | 0.913620 | − | 0.208528i | ||||
\(723\) | −33.7162 | + | 26.8878i | −1.25392 | + | 0.999966i | ||||
\(724\) | 7.38197 | 0.274349 | ||||||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −5.47214 | −0.203090 | ||||||||
\(727\) | 35.9207 | − | 28.6458i | 1.33222 | − | 1.06241i | 0.339678 | − | 0.940542i | \(-0.389682\pi\) |
0.992546 | − | 0.121872i | \(-0.0388896\pi\) | |||||||
\(728\) | −20.6493 | + | 4.71307i | −0.765314 | + | 0.174678i | ||||
\(729\) | 6.56583 | − | 28.7668i | 0.243179 | − | 1.06544i | ||||
\(730\) | 0.840168 | + | 1.05354i | 0.0310960 | + | 0.0389931i | ||||
\(731\) | −11.4047 | + | 14.3011i | −0.421820 | + | 0.528945i | ||||
\(732\) | −0.360046 | − | 1.57747i | −0.0133077 | − | 0.0583048i | ||||
\(733\) | −16.1319 | − | 33.4983i | −0.595847 | − | 1.23729i | −0.952923 | − | 0.303214i | \(-0.901940\pi\) |
0.357076 | − | 0.934075i | \(-0.383774\pi\) | |||||||
\(734\) | 9.14114 | − | 4.40214i | 0.337406 | − | 0.162486i | ||||
\(735\) | −9.00450 | − | 2.05522i | −0.332136 | − | 0.0758079i | ||||
\(736\) | −4.74854 | + | 9.86045i | −0.175034 | + | 0.363461i | ||||
\(737\) | 37.8885i | 1.39564i | ||||||||
\(738\) | −1.58925 | − | 0.765341i | −0.0585010 | − | 0.0281726i | ||||
\(739\) | −6.30851 | − | 5.03087i | −0.232062 | − | 0.185063i | 0.500554 | − | 0.865705i | \(-0.333130\pi\) |
−0.732616 | + | 0.680642i | \(0.761701\pi\) | |||||||
\(740\) | 12.0095 | + | 9.57723i | 0.441477 | + | 0.352066i | ||||
\(741\) | −11.4497 | − | 5.51388i | −0.420615 | − | 0.202558i | ||||
\(742\) | − | 7.23607i | − | 0.265644i | ||||||
\(743\) | 13.3480 | − | 27.7173i | 0.489690 | − | 1.01685i | −0.498962 | − | 0.866624i | \(-0.666285\pi\) |
0.988652 | − | 0.150227i | \(-0.0480004\pi\) | |||||||
\(744\) | 3.84538 | + | 0.877683i | 0.140978 | + | 0.0321774i | ||||
\(745\) | 18.9824 | − | 9.14145i | 0.695462 | − | 0.334917i | ||||
\(746\) | −12.9049 | − | 26.7972i | −0.472480 | − | 0.981115i | ||||
\(747\) | −0.675227 | − | 2.95836i | −0.0247053 | − | 0.108241i | ||||
\(748\) | 9.22664 | − | 11.5698i | 0.337359 | − | 0.423035i | ||||
\(749\) | 15.6649 | + | 19.6432i | 0.572384 | + | 0.717747i | ||||
\(750\) | 3.08283 | − | 13.5068i | 0.112569 | − | 0.493197i | ||||
\(751\) | −26.7834 | + | 6.11313i | −0.977338 | + | 0.223071i | −0.681219 | − | 0.732080i | \(-0.738550\pi\) |
−0.296120 | + | 0.955151i | \(0.595693\pi\) | |||||||
\(752\) | −26.5656 | + | 21.1854i | −0.968749 | + | 0.772551i | ||||
\(753\) | −18.8541 | −0.687082 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −52.3050 | −1.90357 | ||||||||
\(756\) | −5.91245 | + | 4.71502i | −0.215034 | + | 0.171484i | ||||
\(757\) | 45.8009 | − | 10.4537i | 1.66466 | − | 0.379948i | 0.716462 | − | 0.697626i | \(-0.245760\pi\) |
0.948199 | + | 0.317678i | \(0.102903\pi\) | |||||||
\(758\) | 13.5767 | − | 59.4834i | 0.493128 | − | 2.16054i | ||||
\(759\) | 11.8116 | + | 14.8112i | 0.428732 | + | 0.537614i | ||||
\(760\) | 7.37764 | − | 9.25127i | 0.267615 | − | 0.335579i | ||||
\(761\) | −11.0812 | − | 48.5498i | −0.401692 | − | 1.75993i | −0.620544 | − | 0.784172i | \(-0.713088\pi\) |
0.218852 | − | 0.975758i | \(-0.429769\pi\) | |||||||
\(762\) | −2.20854 | − | 4.58608i | −0.0800070 | − | 0.166136i | ||||
\(763\) | −33.4792 | + | 16.1227i | −1.21203 | + | 0.583681i | ||||
\(764\) | 7.25122 | + | 1.65504i | 0.262340 | + | 0.0598773i | ||||
\(765\) | 3.13038 | − | 6.50029i | 0.113179 | − | 0.235019i | ||||
\(766\) | 35.8328i | 1.29469i | ||||||||
\(767\) | −19.4270 | − | 9.35553i | −0.701467 | − | 0.337809i | ||||
\(768\) | −17.1567 | − | 13.6820i | −0.619090 | − | 0.493708i | ||||
\(769\) | 19.8278 | + | 15.8121i | 0.715008 | + | 0.570200i | 0.911993 | − | 0.410207i | \(-0.134543\pi\) |
−0.196985 | + | 0.980407i | \(0.563115\pi\) | |||||||
\(770\) | 33.6608 | + | 16.2102i | 1.21305 | + | 0.584175i |