Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [637,2,Mod(79,637)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(637, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("637.79");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 637 = 7^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 637.e (of order \(3\), degree \(2\), 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: | \(5.08647060876\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 2 x^{11} + 9 x^{10} - 6 x^{9} + 34 x^{8} - 18 x^{7} + 85 x^{6} - 2 x^{5} + 92 x^{4} - 26 x^{3} + \cdots + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 508.4 | ||
Root | \(-0.602377 - 1.04335i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 637.508 |
Dual form | 637.2.e.o.79.4 |
$q$-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 \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(248\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.328092 | + | 0.568272i | 0.231996 | + | 0.401829i | 0.958395 | − | 0.285444i | \(-0.0921410\pi\) |
−0.726399 | + | 0.687273i | \(0.758808\pi\) | |||||||
\(3\) | −0.102377 | + | 0.177322i | −0.0591072 | + | 0.102377i | −0.894065 | − | 0.447937i | \(-0.852159\pi\) |
0.834958 | + | 0.550314i | \(0.185492\pi\) | |||||||
\(4\) | 0.784711 | − | 1.35916i | 0.392356 | − | 0.679580i | ||||
\(5\) | −0.679981 | − | 1.17776i | −0.304097 | − | 0.526711i | 0.672963 | − | 0.739676i | \(-0.265021\pi\) |
−0.977060 | + | 0.212965i | \(0.931688\pi\) | |||||||
\(6\) | −0.134356 | −0.0548505 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 2.34220 | 0.828092 | ||||||||
\(9\) | 1.47904 | + | 2.56177i | 0.493013 | + | 0.853923i | ||||
\(10\) | 0.446193 | − | 0.772828i | 0.141099 | − | 0.244390i | ||||
\(11\) | 0.952756 | − | 1.65022i | 0.287267 | − | 0.497561i | −0.685890 | − | 0.727706i | \(-0.740587\pi\) |
0.973156 | + | 0.230145i | \(0.0739200\pi\) | |||||||
\(12\) | 0.160672 | + | 0.278293i | 0.0463821 | + | 0.0803361i | ||||
\(13\) | −1.00000 | −0.277350 | ||||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0.278457 | 0.0718972 | ||||||||
\(16\) | −0.800966 | − | 1.38731i | −0.200242 | − | 0.346829i | ||||
\(17\) | 1.78317 | − | 3.08854i | 0.432482 | − | 0.749080i | −0.564605 | − | 0.825361i | \(-0.690971\pi\) |
0.997086 | + | 0.0762814i | \(0.0243047\pi\) | |||||||
\(18\) | −0.970521 | + | 1.68099i | −0.228754 | + | 0.396214i | ||||
\(19\) | 0.492627 | + | 0.853255i | 0.113016 | + | 0.195750i | 0.916985 | − | 0.398921i | \(-0.130615\pi\) |
−0.803969 | + | 0.594672i | \(0.797282\pi\) | |||||||
\(20\) | −2.13436 | −0.477256 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 1.25037 | 0.266579 | ||||||||
\(23\) | −0.848026 | − | 1.46882i | −0.176826 | − | 0.306271i | 0.763966 | − | 0.645257i | \(-0.223250\pi\) |
−0.940792 | + | 0.338986i | \(0.889916\pi\) | |||||||
\(24\) | −0.239786 | + | 0.415322i | −0.0489462 | + | 0.0847773i | ||||
\(25\) | 1.57525 | − | 2.72841i | 0.315050 | − | 0.545683i | ||||
\(26\) | −0.328092 | − | 0.568272i | −0.0643441 | − | 0.111447i | ||||
\(27\) | −1.21994 | −0.234777 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 6.54835 | 1.21600 | 0.607999 | − | 0.793938i | \(-0.291972\pi\) | ||||
0.607999 | + | 0.793938i | \(0.291972\pi\) | |||||||
\(30\) | 0.0913595 | + | 0.158239i | 0.0166799 | + | 0.0288904i | ||||
\(31\) | 3.84775 | − | 6.66450i | 0.691077 | − | 1.19698i | −0.280409 | − | 0.959881i | \(-0.590470\pi\) |
0.971485 | − | 0.237099i | \(-0.0761966\pi\) | |||||||
\(32\) | 2.86778 | − | 4.96714i | 0.506957 | − | 0.878074i | ||||
\(33\) | 0.195080 | + | 0.337889i | 0.0339591 | + | 0.0588188i | ||||
\(34\) | 2.34017 | 0.401336 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 4.64247 | 0.773745 | ||||||||
\(37\) | 1.01003 | + | 1.74942i | 0.166047 | + | 0.287602i | 0.937027 | − | 0.349258i | \(-0.113566\pi\) |
−0.770979 | + | 0.636860i | \(0.780233\pi\) | |||||||
\(38\) | −0.323254 | + | 0.559893i | −0.0524387 | + | 0.0908266i | ||||
\(39\) | 0.102377 | − | 0.177322i | 0.0163934 | − | 0.0283942i | ||||
\(40\) | −1.59265 | − | 2.75855i | −0.251820 | − | 0.436165i | ||||
\(41\) | −9.88779 | −1.54421 | −0.772107 | − | 0.635493i | \(-0.780797\pi\) | ||||
−0.772107 | + | 0.635493i | \(0.780797\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −3.16639 | −0.482869 | −0.241435 | − | 0.970417i | \(-0.577618\pi\) | ||||
−0.241435 | + | 0.970417i | \(0.577618\pi\) | |||||||
\(44\) | −1.49528 | − | 2.58990i | −0.225422 | − | 0.390442i | ||||
\(45\) | 2.01144 | − | 3.48391i | 0.299847 | − | 0.519351i | ||||
\(46\) | 0.556461 | − | 0.963819i | 0.0820457 | − | 0.142107i | ||||
\(47\) | 3.88208 | + | 6.72396i | 0.566260 | + | 0.980791i | 0.996931 | + | 0.0782818i | \(0.0249434\pi\) |
−0.430672 | + | 0.902509i | \(0.641723\pi\) | |||||||
\(48\) | 0.328001 | 0.0473429 | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 2.06731 | 0.292362 | ||||||||
\(51\) | 0.365109 | + | 0.632388i | 0.0511255 | + | 0.0885520i | ||||
\(52\) | −0.784711 | + | 1.35916i | −0.108820 | + | 0.188482i | ||||
\(53\) | −0.177097 | + | 0.306741i | −0.0243261 | + | 0.0421341i | −0.877932 | − | 0.478785i | \(-0.841077\pi\) |
0.853606 | + | 0.520919i | \(0.174411\pi\) | |||||||
\(54\) | −0.400251 | − | 0.693255i | −0.0544673 | − | 0.0943401i | ||||
\(55\) | −2.59143 | −0.349428 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −0.201734 | −0.0267203 | ||||||||
\(58\) | 2.14846 | + | 3.72124i | 0.282107 | + | 0.488623i | ||||
\(59\) | 1.08192 | − | 1.87395i | 0.140854 | − | 0.243967i | −0.786964 | − | 0.616999i | \(-0.788348\pi\) |
0.927819 | + | 0.373032i | \(0.121682\pi\) | |||||||
\(60\) | 0.218508 | − | 0.378467i | 0.0282093 | − | 0.0488599i | ||||
\(61\) | 6.10010 | + | 10.5657i | 0.781037 | + | 1.35280i | 0.931338 | + | 0.364156i | \(0.118642\pi\) |
−0.150301 | + | 0.988640i | \(0.548024\pi\) | |||||||
\(62\) | 5.04967 | 0.641308 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0.559715 | 0.0699644 | ||||||||
\(65\) | 0.679981 | + | 1.17776i | 0.0843413 | + | 0.146083i | ||||
\(66\) | −0.128008 | + | 0.221717i | −0.0157567 | + | 0.0272915i | ||||
\(67\) | −5.65670 | + | 9.79769i | −0.691076 | + | 1.19698i | 0.280410 | + | 0.959880i | \(0.409530\pi\) |
−0.971486 | + | 0.237098i | \(0.923804\pi\) | |||||||
\(68\) | −2.79854 | − | 4.84722i | −0.339373 | − | 0.587812i | ||||
\(69\) | 0.347272 | 0.0418067 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −9.05268 | −1.07436 | −0.537178 | − | 0.843469i | \(-0.680510\pi\) | ||||
−0.537178 | + | 0.843469i | \(0.680510\pi\) | |||||||
\(72\) | 3.46420 | + | 6.00017i | 0.408260 | + | 0.707127i | ||||
\(73\) | −3.56809 | + | 6.18012i | −0.417614 | + | 0.723328i | −0.995699 | − | 0.0926481i | \(-0.970467\pi\) |
0.578085 | + | 0.815977i | \(0.303800\pi\) | |||||||
\(74\) | −0.662763 | + | 1.14794i | −0.0770447 | + | 0.133445i | ||||
\(75\) | 0.322538 | + | 0.558652i | 0.0372435 | + | 0.0645076i | ||||
\(76\) | 1.54628 | 0.177371 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 0.134356 | 0.0152128 | ||||||||
\(79\) | 2.69815 | + | 4.67333i | 0.303565 | + | 0.525790i | 0.976941 | − | 0.213510i | \(-0.0684897\pi\) |
−0.673376 | + | 0.739300i | \(0.735156\pi\) | |||||||
\(80\) | −1.08928 | + | 1.88670i | −0.121786 | + | 0.210939i | ||||
\(81\) | −4.31222 | + | 7.46899i | −0.479136 | + | 0.829887i | ||||
\(82\) | −3.24411 | − | 5.61896i | −0.358251 | − | 0.620510i | ||||
\(83\) | 2.03494 | 0.223364 | 0.111682 | − | 0.993744i | \(-0.464376\pi\) | ||||
0.111682 | + | 0.993744i | \(0.464376\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −4.85008 | −0.526065 | ||||||||
\(86\) | −1.03887 | − | 1.79937i | −0.112024 | − | 0.194031i | ||||
\(87\) | −0.670398 | + | 1.16116i | −0.0718743 | + | 0.124490i | ||||
\(88\) | 2.23154 | − | 3.86515i | 0.237883 | − | 0.412026i | ||||
\(89\) | −3.44932 | − | 5.97440i | −0.365627 | − | 0.633285i | 0.623249 | − | 0.782023i | \(-0.285812\pi\) |
−0.988877 | + | 0.148738i | \(0.952479\pi\) | |||||||
\(90\) | 2.63974 | 0.278253 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −2.66182 | −0.277514 | ||||||||
\(93\) | 0.787840 | + | 1.36458i | 0.0816952 | + | 0.141500i | ||||
\(94\) | −2.54736 | + | 4.41216i | −0.262740 | + | 0.455079i | ||||
\(95\) | 0.669955 | − | 1.16040i | 0.0687359 | − | 0.119054i | ||||
\(96\) | 0.587187 | + | 1.01704i | 0.0599296 | + | 0.103801i | ||||
\(97\) | 14.6223 | 1.48467 | 0.742334 | − | 0.670030i | \(-0.233719\pi\) | ||||
0.742334 | + | 0.670030i | \(0.233719\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 5.63665 | 0.566505 | ||||||||
\(100\) | −2.47223 | − | 4.28204i | −0.247223 | − | 0.428204i | ||||
\(101\) | 1.40684 | − | 2.43672i | 0.139986 | − | 0.242463i | −0.787505 | − | 0.616308i | \(-0.788628\pi\) |
0.927491 | + | 0.373845i | \(0.121961\pi\) | |||||||
\(102\) | −0.239579 | + | 0.414963i | −0.0237218 | + | 0.0410874i | ||||
\(103\) | 3.02494 | + | 5.23935i | 0.298056 | + | 0.516248i | 0.975691 | − | 0.219150i | \(-0.0703285\pi\) |
−0.677635 | + | 0.735398i | \(0.736995\pi\) | |||||||
\(104\) | −2.34220 | −0.229671 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −0.232416 | −0.0225743 | ||||||||
\(107\) | −8.66018 | − | 14.9999i | −0.837211 | − | 1.45009i | −0.892218 | − | 0.451606i | \(-0.850851\pi\) |
0.0550067 | − | 0.998486i | \(-0.482482\pi\) | |||||||
\(108\) | −0.957298 | + | 1.65809i | −0.0921160 | + | 0.159550i | ||||
\(109\) | −5.28811 | + | 9.15928i | −0.506509 | + | 0.877300i | 0.493462 | + | 0.869767i | \(0.335731\pi\) |
−0.999972 | + | 0.00753267i | \(0.997602\pi\) | |||||||
\(110\) | −0.850226 | − | 1.47263i | −0.0810659 | − | 0.140410i | ||||
\(111\) | −0.413613 | −0.0392584 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −2.34665 | −0.220755 | −0.110377 | − | 0.993890i | \(-0.535206\pi\) | ||||
−0.110377 | + | 0.993890i | \(0.535206\pi\) | |||||||
\(114\) | −0.0661874 | − | 0.114640i | −0.00619901 | − | 0.0107370i | ||||
\(115\) | −1.15328 | + | 1.99755i | −0.107544 | + | 0.186272i | ||||
\(116\) | 5.13857 | − | 8.90026i | 0.477104 | − | 0.826368i | ||||
\(117\) | −1.47904 | − | 2.56177i | −0.136737 | − | 0.236836i | ||||
\(118\) | 1.41988 | 0.130711 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 0.652201 | 0.0595375 | ||||||||
\(121\) | 3.68451 | + | 6.38176i | 0.334956 | + | 0.580160i | ||||
\(122\) | −4.00278 | + | 6.93303i | −0.362395 | + | 0.627687i | ||||
\(123\) | 1.01228 | − | 1.75332i | 0.0912741 | − | 0.158091i | ||||
\(124\) | −6.03875 | − | 10.4594i | −0.542296 | − | 0.939284i | ||||
\(125\) | −11.0844 | −0.991417 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −18.1639 | −1.61179 | −0.805894 | − | 0.592060i | \(-0.798315\pi\) | ||||
−0.805894 | + | 0.592060i | \(0.798315\pi\) | |||||||
\(128\) | −5.55192 | − | 9.61621i | −0.490725 | − | 0.849961i | ||||
\(129\) | 0.324164 | − | 0.561469i | 0.0285411 | − | 0.0494346i | ||||
\(130\) | −0.446193 | + | 0.772828i | −0.0391337 | + | 0.0677815i | ||||
\(131\) | 5.05068 | + | 8.74804i | 0.441280 | + | 0.764320i | 0.997785 | − | 0.0665248i | \(-0.0211911\pi\) |
−0.556505 | + | 0.830845i | \(0.687858\pi\) | |||||||
\(132\) | 0.612326 | 0.0532961 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −7.42367 | −0.641308 | ||||||||
\(135\) | 0.829534 | + | 1.43679i | 0.0713949 | + | 0.123660i | ||||
\(136\) | 4.17653 | − | 7.23396i | 0.358134 | − | 0.620307i | ||||
\(137\) | −3.27800 | + | 5.67767i | −0.280059 | + | 0.485076i | −0.971399 | − | 0.237453i | \(-0.923687\pi\) |
0.691340 | + | 0.722529i | \(0.257021\pi\) | |||||||
\(138\) | 0.113937 | + | 0.197345i | 0.00969899 | + | 0.0167991i | ||||
\(139\) | 13.8243 | 1.17256 | 0.586281 | − | 0.810108i | \(-0.300591\pi\) | ||||
0.586281 | + | 0.810108i | \(0.300591\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −1.58974 | −0.133880 | ||||||||
\(142\) | −2.97011 | − | 5.14439i | −0.249246 | − | 0.431707i | ||||
\(143\) | −0.952756 | + | 1.65022i | −0.0796735 | + | 0.137999i | ||||
\(144\) | 2.36932 | − | 4.10378i | 0.197443 | − | 0.341982i | ||||
\(145\) | −4.45276 | − | 7.71240i | −0.369781 | − | 0.640480i | ||||
\(146\) | −4.68265 | −0.387539 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 3.17032 | 0.260598 | ||||||||
\(149\) | −4.04695 | − | 7.00952i | −0.331539 | − | 0.574242i | 0.651275 | − | 0.758842i | \(-0.274234\pi\) |
−0.982814 | + | 0.184600i | \(0.940901\pi\) | |||||||
\(150\) | −0.211644 | + | 0.366578i | −0.0172807 | + | 0.0299310i | ||||
\(151\) | −6.01827 | + | 10.4239i | −0.489760 | + | 0.848289i | −0.999931 | − | 0.0117843i | \(-0.996249\pi\) |
0.510171 | + | 0.860073i | \(0.329582\pi\) | |||||||
\(152\) | 1.15383 | + | 1.99849i | 0.0935880 | + | 0.162099i | ||||
\(153\) | 10.5495 | 0.852876 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −10.4656 | −0.840617 | ||||||||
\(156\) | −0.160672 | − | 0.278293i | −0.0128641 | − | 0.0222812i | ||||
\(157\) | −9.19677 | + | 15.9293i | −0.733982 | + | 1.27129i | 0.221186 | + | 0.975232i | \(0.429007\pi\) |
−0.955168 | + | 0.296063i | \(0.904326\pi\) | |||||||
\(158\) | −1.77048 | + | 3.06656i | −0.140852 | + | 0.243963i | ||||
\(159\) | −0.0362612 | − | 0.0628062i | −0.00287570 | − | 0.00498085i | ||||
\(160\) | −7.80014 | −0.616655 | ||||||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −5.65922 | −0.444630 | ||||||||
\(163\) | −1.25643 | − | 2.17620i | −0.0984114 | − | 0.170454i | 0.812616 | − | 0.582800i | \(-0.198043\pi\) |
−0.911027 | + | 0.412346i | \(0.864709\pi\) | |||||||
\(164\) | −7.75906 | + | 13.4391i | −0.605881 | + | 1.04942i | ||||
\(165\) | 0.265302 | − | 0.459516i | 0.0206537 | − | 0.0357732i | ||||
\(166\) | 0.667649 | + | 1.15640i | 0.0518196 | + | 0.0897542i | ||||
\(167\) | −17.9095 | −1.38588 | −0.692941 | − | 0.720995i | \(-0.743685\pi\) | ||||
−0.692941 | + | 0.720995i | \(0.743685\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 1.00000 | 0.0769231 | ||||||||
\(170\) | −1.59127 | − | 2.75616i | −0.122045 | − | 0.211388i | ||||
\(171\) | −1.45723 | + | 2.52399i | −0.111437 | + | 0.193015i | ||||
\(172\) | −2.48470 | + | 4.30363i | −0.189457 | + | 0.328148i | ||||
\(173\) | 3.25991 | + | 5.64632i | 0.247846 | + | 0.429282i | 0.962928 | − | 0.269759i | \(-0.0869439\pi\) |
−0.715082 | + | 0.699041i | \(0.753611\pi\) | |||||||
\(174\) | −0.879809 | −0.0666982 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −3.05250 | −0.230091 | ||||||||
\(177\) | 0.221527 | + | 0.383697i | 0.0166510 | + | 0.0288404i | ||||
\(178\) | 2.26339 | − | 3.92030i | 0.169648 | − | 0.293839i | ||||
\(179\) | 13.3007 | − | 23.0375i | 0.994141 | − | 1.72190i | 0.403461 | − | 0.914997i | \(-0.367807\pi\) |
0.590680 | − | 0.806906i | \(-0.298859\pi\) | |||||||
\(180\) | −3.15679 | − | 5.46773i | −0.235293 | − | 0.407540i | ||||
\(181\) | 24.6402 | 1.83149 | 0.915746 | − | 0.401758i | \(-0.131601\pi\) | ||||
0.915746 | + | 0.401758i | \(0.131601\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −2.49803 | −0.184660 | ||||||||
\(184\) | −1.98625 | − | 3.44028i | −0.146428 | − | 0.253621i | ||||
\(185\) | 1.37360 | − | 2.37914i | 0.100989 | − | 0.174918i | ||||
\(186\) | −0.516968 | + | 0.895415i | −0.0379059 | + | 0.0656550i | ||||
\(187\) | −3.39785 | − | 5.88524i | −0.248475 | − | 0.430372i | ||||
\(188\) | 12.1853 | 0.888701 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0.879227 | 0.0637858 | ||||||||
\(191\) | −1.51049 | − | 2.61625i | −0.109295 | − | 0.189305i | 0.806190 | − | 0.591657i | \(-0.201526\pi\) |
−0.915485 | + | 0.402352i | \(0.868193\pi\) | |||||||
\(192\) | −0.0573018 | + | 0.0992496i | −0.00413540 | + | 0.00716273i | ||||
\(193\) | −10.6261 | + | 18.4050i | −0.764884 | + | 1.32482i | 0.175424 | + | 0.984493i | \(0.443870\pi\) |
−0.940308 | + | 0.340325i | \(0.889463\pi\) | |||||||
\(194\) | 4.79746 | + | 8.30944i | 0.344437 | + | 0.596583i | ||||
\(195\) | −0.278457 | −0.0199407 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −2.72191 | −0.193928 | −0.0969639 | − | 0.995288i | \(-0.530913\pi\) | ||||
−0.0969639 | + | 0.995288i | \(0.530913\pi\) | |||||||
\(198\) | 1.84934 | + | 3.20315i | 0.131427 | + | 0.227638i | ||||
\(199\) | −10.8335 | + | 18.7642i | −0.767967 | + | 1.33016i | 0.170697 | + | 0.985324i | \(0.445398\pi\) |
−0.938664 | + | 0.344834i | \(0.887935\pi\) | |||||||
\(200\) | 3.68955 | − | 6.39049i | 0.260891 | − | 0.451876i | ||||
\(201\) | −1.15823 | − | 2.00611i | −0.0816951 | − | 0.141500i | ||||
\(202\) | 1.84629 | 0.129905 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 1.14602 | 0.0802376 | ||||||||
\(205\) | 6.72351 | + | 11.6455i | 0.469591 | + | 0.813355i | ||||
\(206\) | −1.98492 | + | 3.43797i | −0.138296 | + | 0.239535i | ||||
\(207\) | 2.50853 | − | 4.34489i | 0.174355 | − | 0.301991i | ||||
\(208\) | 0.800966 | + | 1.38731i | 0.0555370 | + | 0.0961930i | ||||
\(209\) | 1.87741 | 0.129864 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 18.3885 | 1.26592 | 0.632959 | − | 0.774186i | \(-0.281840\pi\) | ||||
0.632959 | + | 0.774186i | \(0.281840\pi\) | |||||||
\(212\) | 0.277940 | + | 0.481406i | 0.0190890 | + | 0.0330631i | ||||
\(213\) | 0.926784 | − | 1.60524i | 0.0635022 | − | 0.109989i | ||||
\(214\) | 5.68267 | − | 9.84267i | 0.388459 | − | 0.672831i | ||||
\(215\) | 2.15308 | + | 3.72925i | 0.146839 | + | 0.254333i | ||||
\(216\) | −2.85733 | −0.194417 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −6.93995 | −0.470033 | ||||||||
\(219\) | −0.730579 | − | 1.26540i | −0.0493680 | − | 0.0855078i | ||||
\(220\) | −2.03352 | + | 3.52216i | −0.137100 | + | 0.237464i | ||||
\(221\) | −1.78317 | + | 3.08854i | −0.119949 | + | 0.207757i | ||||
\(222\) | −0.135703 | − | 0.235044i | −0.00910779 | − | 0.0157752i | ||||
\(223\) | −22.2216 | −1.48807 | −0.744035 | − | 0.668141i | \(-0.767090\pi\) | ||||
−0.744035 | + | 0.668141i | \(0.767090\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 9.31943 | 0.621295 | ||||||||
\(226\) | −0.769918 | − | 1.33354i | −0.0512142 | − | 0.0887056i | ||||
\(227\) | 13.3687 | − | 23.1553i | 0.887313 | − | 1.53687i | 0.0442740 | − | 0.999019i | \(-0.485903\pi\) |
0.843039 | − | 0.537852i | \(-0.180764\pi\) | |||||||
\(228\) | −0.158303 | + | 0.274189i | −0.0104839 | + | 0.0181586i | ||||
\(229\) | −8.35039 | − | 14.4633i | −0.551809 | − | 0.955761i | −0.998144 | − | 0.0608954i | \(-0.980604\pi\) |
0.446335 | − | 0.894866i | \(-0.352729\pi\) | |||||||
\(230\) | −1.51353 | −0.0997994 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 15.3375 | 1.00696 | ||||||||
\(233\) | 6.93878 | + | 12.0183i | 0.454575 | + | 0.787346i | 0.998664 | − | 0.0516812i | \(-0.0164580\pi\) |
−0.544089 | + | 0.839027i | \(0.683125\pi\) | |||||||
\(234\) | 0.970521 | − | 1.68099i | 0.0634449 | − | 0.109890i | ||||
\(235\) | 5.27948 | − | 9.14433i | 0.344396 | − | 0.596511i | ||||
\(236\) | −1.69800 | − | 2.94101i | −0.110530 | − | 0.191444i | ||||
\(237\) | −1.10491 | −0.0717715 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 0.465845 | 0.0301330 | 0.0150665 | − | 0.999886i | \(-0.495204\pi\) | ||||
0.0150665 | + | 0.999886i | \(0.495204\pi\) | |||||||
\(240\) | −0.223035 | − | 0.386307i | −0.0143968 | − | 0.0249360i | ||||
\(241\) | 2.84657 | − | 4.93040i | 0.183364 | − | 0.317595i | −0.759660 | − | 0.650320i | \(-0.774635\pi\) |
0.943024 | + | 0.332725i | \(0.107968\pi\) | |||||||
\(242\) | −2.41772 | + | 4.18761i | −0.155417 | + | 0.269190i | ||||
\(243\) | −2.71285 | − | 4.69879i | −0.174029 | − | 0.301427i | ||||
\(244\) | 19.1473 | 1.22578 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 1.32848 | 0.0847010 | ||||||||
\(247\) | −0.492627 | − | 0.853255i | −0.0313451 | − | 0.0542913i | ||||
\(248\) | 9.01220 | − | 15.6096i | 0.572275 | − | 0.991209i | ||||
\(249\) | −0.208331 | + | 0.360840i | −0.0132024 | + | 0.0228673i | ||||
\(250\) | −3.63669 | − | 6.29894i | −0.230005 | − | 0.398380i | ||||
\(251\) | −17.9066 | −1.13025 | −0.565126 | − | 0.825005i | \(-0.691172\pi\) | ||||
−0.565126 | + | 0.825005i | \(0.691172\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −3.23185 | −0.203185 | ||||||||
\(254\) | −5.95944 | − | 10.3221i | −0.373929 | − | 0.647663i | ||||
\(255\) | 0.496535 | − | 0.860024i | 0.0310942 | − | 0.0538568i | ||||
\(256\) | 4.20280 | − | 7.27946i | 0.262675 | − | 0.454966i | ||||
\(257\) | 12.9878 | + | 22.4955i | 0.810156 | + | 1.40323i | 0.912754 | + | 0.408509i | \(0.133951\pi\) |
−0.102598 | + | 0.994723i | \(0.532715\pi\) | |||||||
\(258\) | 0.425423 | 0.0264857 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 2.13436 | 0.132367 | ||||||||
\(261\) | 9.68526 | + | 16.7754i | 0.599503 | + | 1.03837i | ||||
\(262\) | −3.31418 | + | 5.74032i | −0.204751 | + | 0.354638i | ||||
\(263\) | −13.9201 | + | 24.1103i | −0.858349 | + | 1.48670i | 0.0151543 | + | 0.999885i | \(0.495176\pi\) |
−0.873503 | + | 0.486819i | \(0.838157\pi\) | |||||||
\(264\) | 0.456916 | + | 0.791402i | 0.0281212 | + | 0.0487074i | ||||
\(265\) | 0.481690 | 0.0295900 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 1.41252 | 0.0864448 | ||||||||
\(268\) | 8.87775 | + | 15.3767i | 0.542295 | + | 0.939283i | ||||
\(269\) | 2.95243 | − | 5.11375i | 0.180013 | − | 0.311791i | −0.761872 | − | 0.647728i | \(-0.775719\pi\) |
0.941885 | + | 0.335937i | \(0.109053\pi\) | |||||||
\(270\) | −0.544327 | + | 0.942801i | −0.0331267 | + | 0.0573771i | ||||
\(271\) | −2.17466 | − | 3.76662i | −0.132101 | − | 0.228806i | 0.792385 | − | 0.610021i | \(-0.208839\pi\) |
−0.924486 | + | 0.381215i | \(0.875506\pi\) | |||||||
\(272\) | −5.71303 | −0.346403 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −4.30195 | −0.259890 | ||||||||
\(275\) | −3.00166 | − | 5.19903i | −0.181007 | − | 0.313513i | ||||
\(276\) | 0.272509 | − | 0.471999i | 0.0164031 | − | 0.0284110i | ||||
\(277\) | −0.540257 | + | 0.935752i | −0.0324609 | + | 0.0562239i | −0.881799 | − | 0.471625i | \(-0.843668\pi\) |
0.849339 | + | 0.527848i | \(0.177001\pi\) | |||||||
\(278\) | 4.53564 | + | 7.85596i | 0.272030 | + | 0.471169i | ||||
\(279\) | 22.7639 | 1.36284 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 14.4912 | 0.864473 | 0.432236 | − | 0.901760i | \(-0.357725\pi\) | ||||
0.432236 | + | 0.901760i | \(0.357725\pi\) | |||||||
\(282\) | −0.521580 | − | 0.903403i | −0.0310597 | − | 0.0537969i | ||||
\(283\) | 12.2489 | − | 21.2158i | 0.728123 | − | 1.26115i | −0.229552 | − | 0.973296i | \(-0.573726\pi\) |
0.957676 | − | 0.287850i | \(-0.0929404\pi\) | |||||||
\(284\) | −7.10374 | + | 12.3040i | −0.421530 | + | 0.730111i | ||||
\(285\) | 0.137175 | + | 0.237595i | 0.00812557 | + | 0.0140739i | ||||
\(286\) | −1.25037 | −0.0739357 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 16.9662 | 0.999744 | ||||||||
\(289\) | 2.14063 | + | 3.70768i | 0.125919 | + | 0.218099i | ||||
\(290\) | 2.92183 | − | 5.06075i | 0.171576 | − | 0.297178i | ||||
\(291\) | −1.49698 | + | 2.59285i | −0.0877546 | + | 0.151995i | ||||
\(292\) | 5.59985 | + | 9.69922i | 0.327706 | + | 0.567604i | ||||
\(293\) | −1.16105 | −0.0678296 | −0.0339148 | − | 0.999425i | \(-0.510797\pi\) | ||||
−0.0339148 | + | 0.999425i | \(0.510797\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −2.94275 | −0.171334 | ||||||||
\(296\) | 2.36568 | + | 4.09748i | 0.137502 | + | 0.238161i | ||||
\(297\) | −1.16230 | + | 2.01317i | −0.0674436 | + | 0.116816i | ||||
\(298\) | 2.65554 | − | 4.59953i | 0.153831 | − | 0.266444i | ||||
\(299\) | 0.848026 | + | 1.46882i | 0.0490426 | + | 0.0849443i | ||||
\(300\) | 1.01240 | 0.0584507 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | −7.89818 | −0.454489 | ||||||||
\(303\) | 0.288055 | + | 0.498926i | 0.0165483 | + | 0.0286626i | ||||
\(304\) | 0.789156 | − | 1.36686i | 0.0452612 | − | 0.0783947i | ||||
\(305\) | 8.29590 | − | 14.3689i | 0.475022 | − | 0.822762i | ||||
\(306\) | 3.46120 | + | 5.99498i | 0.197864 | + | 0.342710i | ||||
\(307\) | −25.3731 | −1.44812 | −0.724060 | − | 0.689737i | \(-0.757726\pi\) | ||||
−0.724060 | + | 0.689737i | \(0.757726\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −1.23873 | −0.0704690 | ||||||||
\(310\) | −3.43368 | − | 5.94730i | −0.195020 | − | 0.337784i | ||||
\(311\) | 12.2323 | − | 21.1869i | 0.693628 | − | 1.20140i | −0.277012 | − | 0.960866i | \(-0.589344\pi\) |
0.970641 | − | 0.240533i | \(-0.0773224\pi\) | |||||||
\(312\) | 0.239786 | − | 0.415322i | 0.0135752 | − | 0.0235130i | ||||
\(313\) | 3.30832 | + | 5.73018i | 0.186997 | + | 0.323889i | 0.944248 | − | 0.329236i | \(-0.106791\pi\) |
−0.757250 | + | 0.653125i | \(0.773458\pi\) | |||||||
\(314\) | −12.0695 | −0.681124 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 8.46906 | 0.476422 | ||||||||
\(317\) | −4.09901 | − | 7.09970i | −0.230224 | − | 0.398759i | 0.727650 | − | 0.685948i | \(-0.240612\pi\) |
−0.957874 | + | 0.287189i | \(0.907279\pi\) | |||||||
\(318\) | 0.0237940 | − | 0.0412124i | 0.00133430 | − | 0.00231108i | ||||
\(319\) | 6.23898 | − | 10.8062i | 0.349316 | − | 0.605033i | ||||
\(320\) | −0.380596 | − | 0.659212i | −0.0212760 | − | 0.0368510i | ||||
\(321\) | 3.54640 | 0.197941 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 3.51375 | 0.195510 | ||||||||
\(324\) | 6.76770 | + | 11.7220i | 0.375983 | + | 0.651222i | ||||
\(325\) | −1.57525 | + | 2.72841i | −0.0873792 | + | 0.151345i | ||||
\(326\) | 0.824451 | − | 1.42799i | 0.0456621 | − | 0.0790891i | ||||
\(327\) | −1.08276 | − | 1.87539i | −0.0598767 | − | 0.103709i | ||||
\(328\) | −23.1592 | −1.27875 | ||||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0.348173 | 0.0191663 | ||||||||
\(331\) | 0.362357 | + | 0.627621i | 0.0199170 | + | 0.0344972i | 0.875812 | − | 0.482652i | \(-0.160326\pi\) |
−0.855895 | + | 0.517149i | \(0.826993\pi\) | |||||||
\(332\) | 1.59684 | − | 2.76581i | 0.0876382 | − | 0.151794i | ||||
\(333\) | −2.98774 | + | 5.17491i | −0.163727 | + | 0.283583i | ||||
\(334\) | −5.87597 | − | 10.1775i | −0.321519 | − | 0.556887i | ||||
\(335\) | 15.3858 | 0.840616 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −8.58299 | −0.467545 | −0.233773 | − | 0.972291i | \(-0.575107\pi\) | ||||
−0.233773 | + | 0.972291i | \(0.575107\pi\) | |||||||
\(338\) | 0.328092 | + | 0.568272i | 0.0178459 | + | 0.0309099i | ||||
\(339\) | 0.240243 | − | 0.416112i | 0.0130482 | − | 0.0226001i | ||||
\(340\) | −3.80591 | + | 6.59203i | −0.206405 | + | 0.357503i | ||||
\(341\) | −7.33194 | − | 12.6993i | −0.397047 | − | 0.687705i | ||||
\(342\) | −1.91242 | −0.103412 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −7.41630 | −0.399860 | ||||||||
\(345\) | −0.236139 | − | 0.409004i | −0.0127133 | − | 0.0220200i | ||||
\(346\) | −2.13910 | + | 3.70503i | −0.114999 | + | 0.199183i | ||||
\(347\) | 12.9625 | − | 22.4517i | 0.695864 | − | 1.20527i | −0.274024 | − | 0.961723i | \(-0.588355\pi\) |
0.969888 | − | 0.243550i | \(-0.0783119\pi\) | |||||||
\(348\) | 1.05214 | + | 1.82236i | 0.0564005 | + | 0.0976886i | ||||
\(349\) | −17.1403 | −0.917501 | −0.458750 | − | 0.888565i | \(-0.651703\pi\) | ||||
−0.458750 | + | 0.888565i | \(0.651703\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 1.21994 | 0.0651154 | ||||||||
\(352\) | −5.46459 | − | 9.46495i | −0.291264 | − | 0.504483i | ||||
\(353\) | −9.45506 | + | 16.3766i | −0.503242 | + | 0.871641i | 0.496751 | + | 0.867893i | \(0.334526\pi\) |
−0.999993 | + | 0.00374752i | \(0.998807\pi\) | |||||||
\(354\) | −0.145363 | + | 0.251776i | −0.00772594 | + | 0.0133817i | ||||
\(355\) | 6.15566 | + | 10.6619i | 0.326708 | + | 0.565875i | ||||
\(356\) | −10.8269 | −0.573823 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 17.4554 | 0.922547 | ||||||||
\(359\) | −7.05247 | − | 12.2152i | −0.372215 | − | 0.644696i | 0.617691 | − | 0.786421i | \(-0.288068\pi\) |
−0.989906 | + | 0.141725i | \(0.954735\pi\) | |||||||
\(360\) | 4.71118 | − | 8.16001i | 0.248301 | − | 0.430070i | ||||
\(361\) | 9.01464 | − | 15.6138i | 0.474455 | − | 0.821779i | ||||
\(362\) | 8.08425 | + | 14.0023i | 0.424899 | + | 0.735946i | ||||
\(363\) | −1.50883 | −0.0791931 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 9.70495 | 0.507980 | ||||||||
\(366\) | −0.819584 | − | 1.41956i | −0.0428403 | − | 0.0742016i | ||||
\(367\) | 0.180129 | − | 0.311993i | 0.00940266 | − | 0.0162859i | −0.861286 | − | 0.508121i | \(-0.830340\pi\) |
0.870688 | + | 0.491835i | \(0.163674\pi\) | |||||||
\(368\) | −1.35848 | + | 2.35296i | −0.0708157 | + | 0.122656i | ||||
\(369\) | −14.6244 | − | 25.3302i | −0.761317 | − | 1.31864i | ||||
\(370\) | 1.80267 | 0.0937162 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 2.47291 | 0.128214 | ||||||||
\(373\) | 12.5840 | + | 21.7961i | 0.651575 | + | 1.12856i | 0.982741 | + | 0.184989i | \(0.0592249\pi\) |
−0.331165 | + | 0.943573i | \(0.607442\pi\) | |||||||
\(374\) | 2.22961 | − | 3.86180i | 0.115291 | − | 0.199689i | ||||
\(375\) | 1.13478 | − | 1.96550i | 0.0585999 | − | 0.101498i | ||||
\(376\) | 9.09260 | + | 15.7488i | 0.468915 | + | 0.812185i | ||||
\(377\) | −6.54835 | −0.337257 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 31.8947 | 1.63832 | 0.819161 | − | 0.573564i | \(-0.194440\pi\) | ||||
0.819161 | + | 0.573564i | \(0.194440\pi\) | |||||||
\(380\) | −1.05144 | − | 1.82115i | −0.0539378 | − | 0.0934231i | ||||
\(381\) | 1.85956 | − | 3.22086i | 0.0952683 | − | 0.165010i | ||||
\(382\) | 0.991161 | − | 1.71674i | 0.0507122 | − | 0.0878361i | ||||
\(383\) | 16.4086 | + | 28.4205i | 0.838440 | + | 1.45222i | 0.891199 | + | 0.453613i | \(0.149865\pi\) |
−0.0527590 | + | 0.998607i | \(0.516801\pi\) | |||||||
\(384\) | 2.27355 | 0.116022 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −13.9454 | −0.709800 | ||||||||
\(387\) | −4.68321 | − | 8.11155i | −0.238061 | − | 0.412333i | ||||
\(388\) | 11.4743 | − | 19.8740i | 0.582518 | − | 1.00895i | ||||
\(389\) | 12.6543 | − | 21.9179i | 0.641600 | − | 1.11128i | −0.343476 | − | 0.939162i | \(-0.611604\pi\) |
0.985076 | − | 0.172122i | \(-0.0550623\pi\) | |||||||
\(390\) | −0.0913595 | − | 0.158239i | −0.00462617 | − | 0.00801275i | ||||
\(391\) | −6.04869 | −0.305895 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −2.06829 | −0.104331 | ||||||||
\(394\) | −0.893035 | − | 1.54678i | −0.0449905 | − | 0.0779258i | ||||
\(395\) | 3.66938 | − | 6.35555i | 0.184626 | − | 0.319782i | ||||
\(396\) | 4.42314 | − | 7.66111i | 0.222271 | − | 0.384985i | ||||
\(397\) | −2.64698 | − | 4.58470i | −0.132848 | − | 0.230099i | 0.791925 | − | 0.610618i | \(-0.209079\pi\) |
−0.924773 | + | 0.380518i | \(0.875746\pi\) | |||||||
\(398\) | −14.2175 | −0.712661 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −5.04689 | −0.252345 | ||||||||
\(401\) | 12.3168 | + | 21.3333i | 0.615070 | + | 1.06533i | 0.990372 | + | 0.138430i | \(0.0442055\pi\) |
−0.375303 | + | 0.926902i | \(0.622461\pi\) | |||||||
\(402\) | 0.760011 | − | 1.31638i | 0.0379059 | − | 0.0656549i | ||||
\(403\) | −3.84775 | + | 6.66450i | −0.191670 | + | 0.331982i | ||||
\(404\) | −2.20793 | − | 3.82424i | −0.109849 | − | 0.190263i | ||||
\(405\) | 11.7289 | 0.582815 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 3.84924 | 0.190800 | ||||||||
\(408\) | 0.855158 | + | 1.48118i | 0.0423366 | + | 0.0733292i | ||||
\(409\) | 5.11113 | − | 8.85273i | 0.252729 | − | 0.437739i | −0.711547 | − | 0.702638i | \(-0.752005\pi\) |
0.964276 | + | 0.264899i | \(0.0853386\pi\) | |||||||
\(410\) | −4.41186 | + | 7.64157i | −0.217886 | + | 0.377390i | ||||
\(411\) | −0.671182 | − | 1.16252i | −0.0331070 | − | 0.0573430i | ||||
\(412\) | 9.49481 | 0.467776 | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 3.29211 | 0.161798 | ||||||||
\(415\) | −1.38372 | − | 2.39668i | −0.0679243 | − | 0.117648i | ||||
\(416\) | −2.86778 | + | 4.96714i | −0.140604 | + | 0.243534i | ||||
\(417\) | −1.41529 | + | 2.45135i | −0.0693069 | + | 0.120043i | ||||
\(418\) | 0.615965 | + | 1.06688i | 0.0301278 | + | 0.0521829i | ||||
\(419\) | −30.6503 | −1.49736 | −0.748682 | − | 0.662929i | \(-0.769313\pi\) | ||||
−0.748682 | + | 0.662929i | \(0.769313\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 25.9764 | 1.26601 | 0.633007 | − | 0.774146i | \(-0.281820\pi\) | ||||
0.633007 | + | 0.774146i | \(0.281820\pi\) | |||||||
\(422\) | 6.03312 | + | 10.4497i | 0.293688 | + | 0.508682i | ||||
\(423\) | −11.4835 | + | 19.8900i | −0.558346 | + | 0.967084i | ||||
\(424\) | −0.414796 | + | 0.718447i | −0.0201443 | + | 0.0348909i | ||||
\(425\) | −5.61787 | − | 9.73044i | −0.272507 | − | 0.471996i | ||||
\(426\) | 1.21628 | 0.0589290 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | −27.1830 | −1.31394 | ||||||||
\(429\) | −0.195080 | − | 0.337889i | −0.00941855 | − | 0.0163134i | ||||
\(430\) | −1.41282 | + | 2.44707i | −0.0681322 | + | 0.118008i | ||||
\(431\) | −7.44088 | + | 12.8880i | −0.358415 | + | 0.620792i | −0.987696 | − | 0.156385i | \(-0.950016\pi\) |
0.629282 | + | 0.777177i | \(0.283349\pi\) | |||||||
\(432\) | 0.977128 | + | 1.69243i | 0.0470121 | + | 0.0814273i | ||||
\(433\) | 40.0871 | 1.92647 | 0.963233 | − | 0.268669i | \(-0.0865837\pi\) | ||||
0.963233 | + | 0.268669i | \(0.0865837\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 1.82343 | 0.0874269 | ||||||||
\(436\) | 8.29928 | + | 14.3748i | 0.397464 | + | 0.688427i | ||||
\(437\) | 0.835522 | − | 1.44717i | 0.0399684 | − | 0.0692273i | ||||
\(438\) | 0.479394 | − | 0.830335i | 0.0229063 | − | 0.0396750i | ||||
\(439\) | −1.50121 | − | 2.60018i | −0.0716491 | − | 0.124100i | 0.827975 | − | 0.560765i | \(-0.189493\pi\) |
−0.899624 | + | 0.436665i | \(0.856159\pi\) | |||||||
\(440\) | −6.06963 | −0.289358 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −2.34017 | −0.111311 | ||||||||
\(443\) | −0.717828 | − | 1.24332i | −0.0341051 | − | 0.0590717i | 0.848469 | − | 0.529245i | \(-0.177525\pi\) |
−0.882574 | + | 0.470173i | \(0.844191\pi\) | |||||||
\(444\) | −0.324567 | + | 0.562166i | −0.0154032 | + | 0.0266792i | ||||
\(445\) | −4.69094 | + | 8.12495i | −0.222372 | + | 0.385160i | ||||
\(446\) | −7.29073 | − | 12.6279i | −0.345226 | − | 0.597949i | ||||
\(447\) | 1.65725 | 0.0783853 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 19.6313 | 0.926460 | 0.463230 | − | 0.886238i | \(-0.346690\pi\) | ||||
0.463230 | + | 0.886238i | \(0.346690\pi\) | |||||||
\(450\) | 3.05763 | + | 5.29597i | 0.144138 | + | 0.249654i | ||||
\(451\) | −9.42066 | + | 16.3171i | −0.443601 | + | 0.768340i | ||||
\(452\) | −1.84145 | + | 3.18948i | −0.0866143 | + | 0.150020i | ||||
\(453\) | −1.23226 | − | 2.13434i | −0.0578967 | − | 0.100280i | ||||
\(454\) | 17.5447 | 0.823413 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −0.472501 | −0.0221269 | ||||||||
\(457\) | −5.32103 | − | 9.21630i | −0.248907 | − | 0.431120i | 0.714316 | − | 0.699824i | \(-0.246738\pi\) |
−0.963223 | + | 0.268703i | \(0.913405\pi\) | |||||||
\(458\) | 5.47939 | − | 9.49058i | 0.256035 | − | 0.443466i | ||||
\(459\) | −2.17535 | + | 3.76782i | −0.101537 | + | 0.175867i | ||||
\(460\) | 1.80999 | + | 3.13499i | 0.0843912 | + | 0.146170i | ||||
\(461\) | 38.5930 | 1.79745 | 0.898727 | − | 0.438509i | \(-0.144493\pi\) | ||||
0.898727 | + | 0.438509i | \(0.144493\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −27.9993 | −1.30124 | −0.650618 | − | 0.759405i | \(-0.725490\pi\) | ||||
−0.650618 | + | 0.759405i | \(0.725490\pi\) | |||||||
\(464\) | −5.24501 | − | 9.08462i | −0.243493 | − | 0.421743i | ||||
\(465\) | 1.07143 | − | 1.85578i | 0.0496865 | − | 0.0860596i | ||||
\(466\) | −4.55312 | + | 7.88623i | −0.210919 | + | 0.365322i | ||||
\(467\) | −12.9099 | − | 22.3607i | −0.597401 | − | 1.03473i | −0.993203 | − | 0.116393i | \(-0.962867\pi\) |
0.395802 | − | 0.918336i | \(-0.370467\pi\) | |||||||
\(468\) | −4.64247 | −0.214598 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 6.92862 | 0.319594 | ||||||||
\(471\) | −1.88307 | − | 3.26157i | −0.0867673 | − | 0.150285i | ||||
\(472\) | 2.53408 | − | 4.38915i | 0.116640 | − | 0.202027i | ||||
\(473\) | −3.01679 | + | 5.22524i | −0.138712 | + | 0.240257i | ||||
\(474\) | −0.362512 | − | 0.627889i | −0.0166507 | − | 0.0288399i | ||||
\(475\) | 3.10405 | 0.142423 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −1.04773 | −0.0479723 | ||||||||
\(478\) | 0.152840 | + | 0.264726i | 0.00699073 | + | 0.0121083i | ||||
\(479\) | −19.7035 | + | 34.1275i | −0.900277 | + | 1.55933i | −0.0731431 | + | 0.997321i | \(0.523303\pi\) |
−0.827134 | + | 0.562005i | \(0.810030\pi\) | |||||||
\(480\) | 0.798553 | − | 1.38313i | 0.0364488 | − | 0.0631311i | ||||
\(481\) | −1.01003 | − | 1.74942i | −0.0460533 | − | 0.0797666i | ||||
\(482\) | 3.73575 | 0.170159 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 11.5651 | 0.525687 | ||||||||
\(485\) | −9.94288 | − | 17.2216i | −0.451483 | − | 0.781991i | ||||
\(486\) | 1.78013 | − | 3.08327i | 0.0807481 | − | 0.139860i | ||||
\(487\) | 17.0480 | − | 29.5280i | 0.772517 | − | 1.33804i | −0.163662 | − | 0.986516i | \(-0.552331\pi\) |
0.936179 | − | 0.351523i | \(-0.114336\pi\) | |||||||
\(488\) | 14.2876 | + | 24.7469i | 0.646771 | + | 1.12024i | ||||
\(489\) | 0.514517 | 0.0232673 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −9.70414 | −0.437942 | −0.218971 | − | 0.975731i | \(-0.570270\pi\) | ||||
−0.218971 | + | 0.975731i | \(0.570270\pi\) | |||||||
\(492\) | −1.58869 | − | 2.75170i | −0.0716239 | − | 0.124056i | ||||
\(493\) | 11.6768 | − | 20.2248i | 0.525897 | − | 0.910880i | ||||
\(494\) | 0.323254 | − | 0.559893i | 0.0145439 | − | 0.0251908i | ||||
\(495\) | −3.83282 | − | 6.63863i | −0.172272 | − | 0.298384i | ||||
\(496\) | −12.3277 | −0.553529 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | −0.273407 | −0.0122516 | ||||||||
\(499\) | −9.02313 | − | 15.6285i | −0.403931 | − | 0.699629i | 0.590265 | − | 0.807209i | \(-0.299023\pi\) |
−0.994196 | + | 0.107580i | \(0.965690\pi\) | |||||||
\(500\) | −8.69804 | + | 15.0654i | −0.388988 | + | 0.673747i | ||||
\(501\) | 1.83352 | − | 3.17575i | 0.0819156 | − | 0.141882i | ||||
\(502\) | −5.87500 | − | 10.1758i | −0.262214 | − | 0.454168i | ||||
\(503\) | −16.4922 | −0.735352 | −0.367676 | − | 0.929954i | \(-0.619846\pi\) | ||||
−0.367676 | + | 0.929954i | \(0.619846\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −3.82650 | −0.170277 | ||||||||
\(506\) | −1.06034 | − | 1.83657i | −0.0471380 | − | 0.0816455i | ||||
\(507\) | −0.102377 | + | 0.177322i | −0.00454671 | + | 0.00787513i | ||||
\(508\) | −14.2534 | + | 24.6877i | −0.632394 | + | 1.09534i | ||||
\(509\) | −9.59883 | − | 16.6257i | −0.425460 | − | 0.736919i | 0.571003 | − | 0.820948i | \(-0.306555\pi\) |
−0.996463 | + | 0.0840290i | \(0.973221\pi\) | |||||||
\(510\) | 0.651637 | 0.0288550 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | −16.6921 | −0.737692 | ||||||||
\(513\) | −0.600974 | − | 1.04092i | −0.0265336 | − | 0.0459576i | ||||
\(514\) | −8.52238 | + | 14.7612i | −0.375906 | + | 0.651089i | ||||
\(515\) | 4.11380 | − | 7.12531i | 0.181276 | − | 0.313979i | ||||
\(516\) | −0.508750 | − | 0.881182i | −0.0223965 | − | 0.0387919i | ||||
\(517\) | 14.7947 | 0.650670 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −1.33495 | −0.0585979 | ||||||||
\(520\) | 1.59265 | + | 2.75855i | 0.0698423 | + | 0.120970i | ||||
\(521\) | −4.38017 | + | 7.58668i | −0.191899 | + | 0.332378i | −0.945879 | − | 0.324518i | \(-0.894798\pi\) |
0.753981 | + | 0.656897i | \(0.228131\pi\) | |||||||
\(522\) | −6.35531 | + | 11.0077i | −0.278164 | + | 0.481795i | ||||
\(523\) | −5.87030 | − | 10.1677i | −0.256690 | − | 0.444601i | 0.708663 | − | 0.705547i | \(-0.249299\pi\) |
−0.965353 | + | 0.260946i | \(0.915965\pi\) | |||||||
\(524\) | 15.8533 | 0.692555 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −18.2683 | −0.796534 | ||||||||
\(527\) | −13.7224 | − | 23.7678i | −0.597756 | − | 1.03534i | ||||
\(528\) | 0.312505 | − | 0.541275i | 0.0136000 | − | 0.0235560i | ||||
\(529\) | 10.0617 | − | 17.4274i | 0.437465 | − | 0.757712i | ||||
\(530\) | 0.158039 | + | 0.273731i | 0.00686476 | + | 0.0118901i | ||||
\(531\) | 6.40082 | 0.277772 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 9.88779 | 0.428288 | ||||||||
\(534\) | 0.463436 | + | 0.802695i | 0.0200548 | + | 0.0347360i | ||||
\(535\) | −11.7775 | + | 20.3993i | −0.509186 | + | 0.881937i | ||||
\(536\) | −13.2491 | + | 22.9481i | −0.572274 | + | 0.991208i | ||||
\(537\) | 2.72336 | + | 4.71700i | 0.117522 | + | 0.203554i | ||||
\(538\) | 3.87467 | 0.167049 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 2.60378 | 0.112049 | ||||||||
\(541\) | −8.22934 | − | 14.2536i | −0.353807 | − | 0.612812i | 0.633106 | − | 0.774065i | \(-0.281780\pi\) |
−0.986913 | + | 0.161253i | \(0.948446\pi\) | |||||||
\(542\) | 1.42698 | − | 2.47160i | 0.0612939 | − | 0.106164i | ||||
\(543\) | −2.52258 | + | 4.36924i | −0.108254 | + | 0.187502i | ||||
\(544\) | −10.2275 | − | 17.7145i | −0.438499 | − | 0.759502i | ||||
\(545\) | 14.3833 | 0.616112 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −8.19375 | −0.350339 | −0.175170 | − | 0.984538i | \(-0.556047\pi\) | ||||
−0.175170 | + | 0.984538i | \(0.556047\pi\) | |||||||
\(548\) | 5.14457 | + | 8.91066i | 0.219765 | + | 0.380645i | ||||
\(549\) | −18.0445 | + | 31.2541i | −0.770123 | + | 1.33389i | ||||
\(550\) | 1.96964 | − | 3.41152i | 0.0839858 | − | 0.145468i | ||||
\(551\) | 3.22590 | + | 5.58742i | 0.137428 | + | 0.238032i | ||||
\(552\) | 0.813381 | 0.0346198 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −0.709015 | −0.0301232 | ||||||||
\(555\) | 0.281249 | + | 0.487137i | 0.0119383 | + | 0.0206778i | ||||
\(556\) | 10.8481 | − | 18.7894i | 0.460061 | − | 0.796850i | ||||
\(557\) | 6.90720 | − | 11.9636i | 0.292667 | − | 0.506915i | −0.681772 | − | 0.731565i | \(-0.738790\pi\) |
0.974440 | + | 0.224650i | \(0.0721238\pi\) | |||||||
\(558\) | 7.46865 | + | 12.9361i | 0.316173 | + | 0.547628i | ||||
\(559\) | 3.16639 | 0.133924 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 1.39144 | 0.0587467 | ||||||||
\(562\) | 4.75445 | + | 8.23494i | 0.200554 | + | 0.347370i | ||||
\(563\) | 4.87780 | − | 8.44859i | 0.205575 | − | 0.356066i | −0.744741 | − | 0.667354i | \(-0.767427\pi\) |
0.950316 | + | 0.311288i | \(0.100760\pi\) | |||||||
\(564\) | −1.24749 | + | 2.16071i | −0.0525286 | + | 0.0909822i | ||||
\(565\) | 1.59568 | + | 2.76380i | 0.0671308 | + | 0.116274i | ||||
\(566\) | 16.0751 | 0.675687 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −21.2032 | −0.889666 | ||||||||
\(569\) | 0.716319 | + | 1.24070i | 0.0300296 | + | 0.0520129i | 0.880650 | − | 0.473768i | \(-0.157106\pi\) |
−0.850620 | + | 0.525781i | \(0.823773\pi\) | |||||||
\(570\) | −0.0900123 | + | 0.155906i | −0.00377020 | + | 0.00653018i | ||||
\(571\) | −8.14359 | + | 14.1051i | −0.340799 | + | 0.590281i | −0.984581 | − | 0.174928i | \(-0.944031\pi\) |
0.643783 | + | 0.765209i | \(0.277364\pi\) | |||||||
\(572\) | 1.49528 | + | 2.58990i | 0.0625207 | + | 0.108289i | ||||
\(573\) | 0.618557 | 0.0258406 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −5.34342 | −0.222836 | ||||||||
\(576\) | 0.827840 | + | 1.43386i | 0.0344934 | + | 0.0597442i | ||||
\(577\) | −2.40923 | + | 4.17291i | −0.100297 | + | 0.173720i | −0.911807 | − | 0.410619i | \(-0.865313\pi\) |
0.811510 | + | 0.584339i | \(0.198646\pi\) | |||||||
\(578\) | −1.40465 | + | 2.43292i | −0.0584256 | + | 0.101196i | ||||
\(579\) | −2.17573 | − | 3.76848i | −0.0904203 | − | 0.156613i | ||||
\(580\) | −13.9765 | −0.580343 | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | −1.96459 | −0.0814349 | ||||||||
\(583\) | 0.337460 | + | 0.584498i | 0.0139762 | + | 0.0242074i | ||||
\(584\) | −8.35718 | + | 14.4751i | −0.345823 | + | 0.598982i | ||||
\(585\) | −2.01144 | + | 3.48391i | −0.0831626 | + | 0.144042i | ||||
\(586\) | −0.380933 | − | 0.659795i | −0.0157362 | − | 0.0272559i | ||||
\(587\) | −36.6215 | −1.51153 | −0.755765 | − | 0.654843i | \(-0.772735\pi\) | ||||
−0.755765 | + | 0.654843i | \(0.772735\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 7.58203 | 0.312412 | ||||||||
\(590\) | −0.965493 | − | 1.67228i | −0.0397487 | − | 0.0688468i | ||||
\(591\) | 0.278660 | − | 0.482653i | 0.0114625 | − | 0.0198537i | ||||
\(592\) | 1.61799 | − | 2.80245i | 0.0664992 | − | 0.115180i | ||||
\(593\) | −9.35407 | − | 16.2017i | −0.384125 | − | 0.665325i | 0.607522 | − | 0.794303i | \(-0.292164\pi\) |
−0.991647 | + | 0.128978i | \(0.958830\pi\) | |||||||
\(594\) | −1.52537 | −0.0625866 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −12.7027 | −0.520325 | ||||||||
\(597\) | −2.21820 | − | 3.84203i | −0.0907847 | − | 0.157244i | ||||
\(598\) | −0.556461 | + | 0.963819i | −0.0227554 | + | 0.0394135i | ||||
\(599\) | 12.7097 | − | 22.0139i | 0.519305 | − | 0.899463i | −0.480443 | − | 0.877026i | \(-0.659524\pi\) |
0.999748 | − | 0.0224368i | \(-0.00714245\pi\) | |||||||
\(600\) | 0.755448 | + | 1.30847i | 0.0308410 | + | 0.0534182i | ||||
\(601\) | −17.7790 | −0.725219 | −0.362609 | − | 0.931941i | \(-0.618114\pi\) | ||||
−0.362609 | + | 0.931941i | \(0.618114\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −33.4659 | −1.36284 | ||||||||
\(604\) | 9.44521 | + | 16.3596i | 0.384320 | + | 0.665662i | ||||
\(605\) | 5.01080 | − | 8.67895i | 0.203718 | − | 0.352850i | ||||
\(606\) | −0.189017 | + | 0.327388i | −0.00767830 | + | 0.0132992i | ||||
\(607\) | 13.0024 | + | 22.5208i | 0.527750 | + | 0.914089i | 0.999477 | + | 0.0323446i | \(0.0102974\pi\) |
−0.471727 | + | 0.881745i | \(0.656369\pi\) | |||||||
\(608\) | 5.65098 | 0.229178 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 10.8873 | 0.440813 | ||||||||
\(611\) | −3.88208 | − | 6.72396i | −0.157052 | − | 0.272022i | ||||
\(612\) | 8.27830 | − | 14.3384i | 0.334631 | − | 0.579597i | ||||
\(613\) | −13.4115 | + | 23.2294i | −0.541685 | + | 0.938226i | 0.457123 | + | 0.889404i | \(0.348880\pi\) |
−0.998807 | + | 0.0488222i | \(0.984453\pi\) | |||||||
\(614\) | −8.32471 | − | 14.4188i | −0.335958 | − | 0.581896i | ||||
\(615\) | −2.75332 | −0.111025 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −18.6491 | −0.750784 | −0.375392 | − | 0.926866i | \(-0.622492\pi\) | ||||
−0.375392 | + | 0.926866i | \(0.622492\pi\) | |||||||
\(618\) | −0.406418 | − | 0.703937i | −0.0163485 | − | 0.0283165i | ||||
\(619\) | 6.53427 | − | 11.3177i | 0.262634 | − | 0.454896i | −0.704307 | − | 0.709896i | \(-0.748742\pi\) |
0.966941 | + | 0.255000i | \(0.0820753\pi\) | |||||||
\(620\) | −8.21247 | + | 14.2244i | −0.329821 | + | 0.571266i | ||||
\(621\) | 1.03454 | + | 1.79187i | 0.0415146 | + | 0.0719053i | ||||
\(622\) | 16.0532 | 0.643676 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | −0.328001 | −0.0131306 | ||||||||
\(625\) | −0.339088 | − | 0.587317i | −0.0135635 | − | 0.0234927i | ||||
\(626\) | −2.17087 | + | 3.76005i | −0.0867654 | + | 0.150282i | ||||
\(627\) | −0.192203 | + | 0.332906i | −0.00767587 | + | 0.0132950i | ||||
\(628\) | 14.4336 | + | 24.9998i | 0.575964 | + | 0.997599i | ||||
\(629\) | 7.20418 | 0.287250 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −49.1745 | −1.95761 | −0.978804 | − | 0.204801i | \(-0.934345\pi\) | ||||
−0.978804 | + | 0.204801i | \(0.934345\pi\) | |||||||
\(632\) | 6.31959 | + | 10.9459i | 0.251380 | + | 0.435403i | ||||
\(633\) | −1.88255 | + | 3.26068i | −0.0748248 | + | 0.129600i | ||||
\(634\) | 2.68971 | − | 4.65871i | 0.106822 | − | 0.185021i | ||||
\(635\) | 12.3511 | + | 21.3928i | 0.490140 | + | 0.848947i | ||||
\(636\) | −0.113818 | −0.00451318 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 8.18784 | 0.324160 | ||||||||
\(639\) | −13.3893 | − | 23.1909i | −0.529671 | − | 0.917417i | ||||
\(640\) | −7.55040 | + | 13.0777i | −0.298456 | + | 0.516941i | ||||
\(641\) | −2.18751 | + | 3.78888i | −0.0864016 | + | 0.149652i | −0.905988 | − | 0.423304i | \(-0.860870\pi\) |
0.819586 | + | 0.572956i | \(0.194203\pi\) | |||||||
\(642\) | 1.16355 | + | 2.01532i | 0.0459215 | + | 0.0795383i | ||||
\(643\) | 5.34651 | 0.210846 | 0.105423 | − | 0.994427i | \(-0.466380\pi\) | ||||
0.105423 | + | 0.994427i | \(0.466380\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −0.881702 | −0.0347170 | ||||||||
\(646\) | 1.15283 | + | 1.99676i | 0.0453576 | + | 0.0785616i | ||||
\(647\) | −14.8673 | + | 25.7509i | −0.584493 | + | 1.01237i | 0.410445 | + | 0.911885i | \(0.365373\pi\) |
−0.994938 | + | 0.100487i | \(0.967960\pi\) | |||||||
\(648\) | −10.1001 | + | 17.4938i | −0.396768 | + | 0.687223i | ||||
\(649\) | −2.06162 | − | 3.57083i | −0.0809256 | − | 0.140167i | ||||
\(650\) | −2.06731 | −0.0810865 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −3.94375 | −0.154449 | ||||||||
\(653\) | 1.27131 | + | 2.20198i | 0.0497503 | + | 0.0861700i | 0.889828 | − | 0.456296i | \(-0.150824\pi\) |
−0.840078 | + | 0.542466i | \(0.817491\pi\) | |||||||
\(654\) | 0.710489 | − | 1.23060i | 0.0277823 | − | 0.0481204i | ||||
\(655\) | 6.86874 | − | 11.8970i | 0.268384 | − | 0.464854i | ||||
\(656\) | 7.91979 | + | 13.7175i | 0.309216 | + | 0.535578i | ||||
\(657\) | −21.1094 | −0.823556 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 1.87019 | 0.0728523 | 0.0364261 | − | 0.999336i | \(-0.488403\pi\) | ||||
0.0364261 | + | 0.999336i | \(0.488403\pi\) | |||||||
\(660\) | −0.416370 | − | 0.721174i | −0.0162072 | − | 0.0280717i | ||||
\(661\) | −6.03815 | + | 10.4584i | −0.234857 | + | 0.406784i | −0.959231 | − | 0.282623i | \(-0.908795\pi\) |
0.724374 | + | 0.689407i | \(0.242129\pi\) | |||||||
\(662\) | −0.237773 | + | 0.411835i | −0.00924131 | + | 0.0160064i | ||||
\(663\) | −0.365109 | − | 0.632388i | −0.0141797 | − | 0.0245599i | ||||
\(664\) | 4.76624 | 0.184966 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −3.92101 | −0.151936 | ||||||||
\(667\) | −5.55317 | − | 9.61838i | −0.215020 | − | 0.372425i | ||||
\(668\) | −14.0538 | + | 24.3419i | −0.543758 | + | 0.941817i | ||||
\(669\) | 2.27498 | − | 3.94037i | 0.0879556 | − | 0.152344i | ||||
\(670\) | 5.04796 | + | 8.74332i | 0.195020 | + | 0.337784i | ||||
\(671\) | 23.2476 | 0.897464 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −7.81691 | −0.301320 | −0.150660 | − | 0.988586i | \(-0.548140\pi\) | ||||
−0.150660 | + | 0.988586i | \(0.548140\pi\) | |||||||
\(674\) | −2.81601 | − | 4.87747i | −0.108469 | − | 0.187873i | ||||
\(675\) | −1.92171 | + | 3.32849i | −0.0739665 | + | 0.128114i | ||||
\(676\) | 0.784711 | − | 1.35916i | 0.0301812 | − | 0.0522754i | ||||
\(677\) | 3.12814 | + | 5.41809i | 0.120224 | + | 0.208234i | 0.919856 | − | 0.392256i | \(-0.128305\pi\) |
−0.799632 | + | 0.600491i | \(0.794972\pi\) | |||||||
\(678\) | 0.315287 | 0.0121085 | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | −11.3598 | −0.435630 | ||||||||
\(681\) | 2.73729 | + | 4.74113i | 0.104893 | + | 0.181680i | ||||
\(682\) | 4.81110 | − | 8.33307i | 0.184227 | − | 0.319090i | ||||
\(683\) | −11.1828 | + | 19.3692i | −0.427898 | + | 0.741140i | −0.996686 | − | 0.0813435i | \(-0.974079\pi\) |
0.568789 | + | 0.822484i | \(0.307412\pi\) | |||||||
\(684\) | 2.28701 | + | 3.96121i | 0.0874459 | + | 0.151461i | ||||
\(685\) | 8.91593 | 0.340660 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 3.41954 | 0.130464 | ||||||||
\(688\) | 2.53617 | + | 4.39277i | 0.0966905 | + | 0.167473i | ||||
\(689\) | 0.177097 | − | 0.306741i | 0.00674685 | − | 0.0116859i | ||||
\(690\) | 0.154950 | − | 0.268382i | 0.00589886 | − | 0.0102171i | ||||
\(691\) | −1.90385 | − | 3.29757i | −0.0724260 | − | 0.125445i | 0.827538 | − | 0.561410i | \(-0.189741\pi\) |
−0.899964 | + | 0.435964i | \(0.856407\pi\) | |||||||
\(692\) | 10.2323 | 0.388975 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 17.0116 | 0.645751 | ||||||||
\(695\) | −9.40027 | − | 16.2817i | −0.356572 | − | 0.617602i | ||||
\(696\) | −1.57021 | + | 2.71968i | −0.0595185 | + | 0.103089i | ||||
\(697\) | −17.6316 | + | 30.5388i | −0.667844 | + | 1.15674i | ||||
\(698\) | −5.62360 | − | 9.74037i | −0.212857 | − | 0.368678i | ||||
\(699\) | −2.84148 | −0.107475 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −8.14218 | −0.307526 | −0.153763 | − | 0.988108i | \(-0.549139\pi\) | ||||
−0.153763 | + | 0.988108i | \(0.549139\pi\) | |||||||
\(702\) | 0.400251 | + | 0.693255i | 0.0151065 | + | 0.0261652i | ||||
\(703\) | −0.995133 | + | 1.72362i | −0.0375322 | + | 0.0650076i | ||||
\(704\) | 0.533272 | − | 0.923655i | 0.0200985 | − | 0.0348116i | ||||
\(705\) | 1.08099 | + | 1.87233i | 0.0407125 | + | 0.0705161i | ||||
\(706\) | −12.4085 | −0.467001 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 0.695340 | 0.0261325 | ||||||||
\(709\) | 12.0159 | + | 20.8122i | 0.451268 | + | 0.781619i | 0.998465 | − | 0.0553845i | \(-0.0176385\pi\) |
−0.547197 | + | 0.837004i | \(0.684305\pi\) | |||||||
\(710\) | −4.03924 | + | 6.99617i | −0.151590 | + | 0.262562i | ||||
\(711\) | −7.98132 | + | 13.8241i | −0.299323 | + | 0.518442i | ||||
\(712\) | −8.07899 | − | 13.9932i | −0.302773 | − | 0.524418i | ||||
\(713\) | −13.0520 | −0.488800 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 2.59143 | 0.0969138 | ||||||||
\(716\) | −20.8744 | − | 36.1556i | −0.780114 | − | 1.35120i | ||||
\(717\) | −0.0476916 | + | 0.0826043i | −0.00178108 | + | 0.00308492i | ||||
\(718\) | 4.62772 | − | 8.01544i | 0.172705 | − | 0.299134i | ||||
\(719\) | −16.3480 | − | 28.3156i | −0.609678 | − | 1.05599i | −0.991293 | − | 0.131672i | \(-0.957965\pi\) |
0.381615 | − | 0.924321i | \(-0.375368\pi\) | |||||||
\(720\) | −6.44437 | −0.240168 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 11.8305 | 0.440286 | ||||||||
\(723\) | 0.582845 | + | 1.00952i | 0.0216762 | + | 0.0375443i | ||||
\(724\) | 19.3354 | − | 33.4900i | 0.718596 | − | 1.24465i | ||||
\(725\) | 10.3153 | − | 17.8666i | 0.383101 | − | 0.663550i | ||||
\(726\) | −0.495036 | − | 0.857427i | −0.0183725 | − | 0.0318221i | ||||
\(727\) | 15.7712 | 0.584921 | 0.292460 | − | 0.956278i | \(-0.405526\pi\) | ||||
0.292460 | + | 0.956278i | \(0.405526\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −24.7624 | −0.917126 | ||||||||
\(730\) | 3.18412 | + | 5.51505i | 0.117849 | + | 0.204121i | ||||
\(731\) | −5.64620 | + | 9.77950i | −0.208832 | + | 0.361708i | ||||
\(732\) | −1.96023 | + | 3.39522i | −0.0724523 | + | 0.125491i | ||||
\(733\) | 11.7547 | + | 20.3598i | 0.434170 | + | 0.752005i | 0.997228 | − | 0.0744131i | \(-0.0237083\pi\) |
−0.563057 | + | 0.826418i | \(0.690375\pi\) | |||||||
\(734\) | 0.236396 | 0.00872552 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −9.72781 | −0.358572 | ||||||||
\(737\) | 10.7789 | + | 18.6696i | 0.397046 | + | 0.687705i | ||||
\(738\) | 9.59631 | − | 16.6213i | 0.353245 | − | 0.611838i | ||||
\(739\) | 11.2633 | − | 19.5087i | 0.414329 | − | 0.717639i | −0.581029 | − | 0.813883i | \(-0.697350\pi\) |
0.995358 | + | 0.0962443i | \(0.0306830\pi\) | |||||||
\(740\) | −2.15576 | − | 3.73388i | −0.0792472 | − | 0.137260i | ||||
\(741\) | 0.201734 | 0.00741089 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −13.9795 | −0.512857 | −0.256429 | − | 0.966563i | \(-0.582546\pi\) | ||||
−0.256429 | + | 0.966563i | \(0.582546\pi\) | |||||||
\(744\) | 1.84528 | + | 3.19611i | 0.0676511 | + | 0.117175i | ||||
\(745\) | −5.50370 | + | 9.53268i | −0.201640 | + | 0.349250i | ||||
\(746\) | −8.25743 | + | 14.3023i | −0.302326 | + | 0.523644i | ||||
\(747\) | 3.00976 | + | 5.21306i | 0.110121 | + | 0.190736i | ||||
\(748\) | −10.6653 | −0.389963 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 1.48925 | 0.0543798 | ||||||||
\(751\) | −1.27296 | − | 2.20483i | −0.0464509 | − | 0.0804552i | 0.841865 | − | 0.539688i | \(-0.181458\pi\) |
−0.888316 | + | 0.459233i | \(0.848124\pi\) | |||||||
\(752\) | 6.21883 | − | 10.7713i | 0.226777 | − | 0.392790i | ||||
\(753\) | 1.83321 | − | 3.17522i | 0.0668060 | − | 0.115711i | ||||
\(754\) | −2.14846 | − | 3.72124i | −0.0782424 | − | 0.135520i | ||||
\(755\) | 16.3692 | 0.595738 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 19.6921 | 0.715721 | 0.357861 | − | 0.933775i | \(-0.383506\pi\) | ||||
0.357861 | + | 0.933775i | \(0.383506\pi\) | |||||||
\(758\) | 10.4644 | + | 18.1249i | 0.380084 | + | 0.658325i | ||||
\(759\) | 0.330866 | − | 0.573077i | 0.0120097 | − | 0.0208014i | ||||
\(760\) | 1.56917 | − | 2.71788i | 0.0569196 | − | 0.0985877i | ||||
\(761\) | −19.5453 | − | 33.8534i | −0.708515 | − | 1.22718i | −0.965408 | − | 0.260744i | \(-0.916032\pi\) |
0.256893 | − | 0.966440i | \(-0.417301\pi\) | |||||||
\(762\) | 2.44043 | 0.0884075 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | −4.74120 | −0.171531 | ||||||||
\(765\) | −7.17345 | − | 12.4248i | −0.259357 | − | 0.449219i | ||||
\(766\) | −10.7671 | + | 18.6491i | −0.389029 | + | 0.673819i | ||||
\(767\) | −1.08192 | + | 1.87395i | −0.0390660 | + | 0.0676643i | ||||
\(768\) | 0.860536 | + | 1.49049i | 0.0310519 | + | 0.0537835i | ||||
\(769\) | 21.7389 | 0.783926 | 0.391963 | − | 0.919981i | \(-0.371796\pi\) | ||||
0.391963 | + | 0.919981i | \(0.371796\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −5.31859 | −0.191544 | ||||||||
\(772\) | 16.6769 | + | 28.8852i | 0.600213 | + | 1.03960i | ||||
\(773\) | 2.06403 | − | 3.57501i | 0.0742381 | − | 0.128584i | −0.826517 | − | 0.562912i | \(-0.809681\pi\) |
0.900755 | + | 0.434328i | \(0.143014\pi\) | |||||||
\(774\) | 3.07304 | − | 5.32267i | 0.110458 | − | 0.191319i | ||||
\(775\) | −12.1224 | − | 20.9965i | −0.435448 | − | 0.754218i | ||||
\(776\) | 34.2483 |