Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [168,2,Mod(5,168)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(168, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 3, 3, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("168.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 168 = 2^{3} \cdot 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 168.ba (of order \(6\), degree \(2\), 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: | \(1.34148675396\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 5.11 | ||
Character | \(\chi\) | \(=\) | 168.5 |
Dual form | 168.2.ba.c.101.11 |
$q$-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 \(\left(\mathbb{Z}/168\mathbb{Z}\right)^\times\).
\(n\) | \(73\) | \(85\) | \(113\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.174432 | − | 1.40341i | −0.123342 | − | 0.992364i | ||||
\(3\) | 1.09218 | + | 1.34430i | 0.630570 | + | 0.776132i | ||||
\(4\) | −1.93915 | + | 0.489600i | −0.969574 | + | 0.244800i | ||||
\(5\) | 2.46958 | + | 1.42581i | 1.10443 | + | 0.637643i | 0.937381 | − | 0.348306i | \(-0.113243\pi\) |
0.167049 | + | 0.985949i | \(0.446576\pi\) | |||||||
\(6\) | 1.69610 | − | 1.76727i | 0.692430 | − | 0.721485i | ||||
\(7\) | −1.02032 | + | 2.44110i | −0.385643 | + | 0.922648i | ||||
\(8\) | 1.02536 | + | 2.63603i | 0.362520 | + | 0.931976i | ||||
\(9\) | −0.614290 | + | 2.93643i | −0.204763 | + | 0.978812i | ||||
\(10\) | 1.57023 | − | 3.71455i | 0.496552 | − | 1.17464i | ||||
\(11\) | −2.42621 | − | 4.20231i | −0.731529 | − | 1.26705i | −0.956230 | − | 0.292617i | \(-0.905474\pi\) |
0.224701 | − | 0.974428i | \(-0.427860\pi\) | |||||||
\(12\) | −2.77607 | − | 2.07207i | −0.801381 | − | 0.598154i | ||||
\(13\) | 2.75221 | 0.763326 | 0.381663 | − | 0.924302i | \(-0.375351\pi\) | ||||
0.381663 | + | 0.924302i | \(0.375351\pi\) | |||||||
\(14\) | 3.60385 | + | 1.00612i | 0.963169 | + | 0.268898i | ||||
\(15\) | 0.780502 | + | 4.87710i | 0.201525 | + | 1.25926i | ||||
\(16\) | 3.52058 | − | 1.89881i | 0.880146 | − | 0.474703i | ||||
\(17\) | −1.75366 | − | 3.03743i | −0.425326 | − | 0.736686i | 0.571125 | − | 0.820863i | \(-0.306507\pi\) |
−0.996451 | + | 0.0841773i | \(0.973174\pi\) | |||||||
\(18\) | 4.22819 | + | 0.349896i | 0.996593 | + | 0.0824713i | ||||
\(19\) | 3.14493 | − | 5.44717i | 0.721496 | − | 1.24967i | −0.238905 | − | 0.971043i | \(-0.576788\pi\) |
0.960400 | − | 0.278624i | \(-0.0898784\pi\) | |||||||
\(20\) | −5.48696 | − | 1.55575i | −1.22692 | − | 0.347877i | ||||
\(21\) | −4.39594 | + | 1.29450i | −0.959272 | + | 0.282484i | ||||
\(22\) | −5.47438 | + | 4.13799i | −1.16714 | + | 0.882223i | ||||
\(23\) | −3.15865 | − | 1.82365i | −0.658624 | − | 0.380257i | 0.133128 | − | 0.991099i | \(-0.457498\pi\) |
−0.791753 | + | 0.610842i | \(0.790831\pi\) | |||||||
\(24\) | −2.42373 | + | 4.25741i | −0.494743 | + | 0.869039i | ||||
\(25\) | 1.56588 | + | 2.71219i | 0.313177 | + | 0.542438i | ||||
\(26\) | −0.480073 | − | 3.86249i | −0.0941501 | − | 0.757498i | ||||
\(27\) | −4.61837 | + | 2.38132i | −0.888805 | + | 0.458286i | ||||
\(28\) | 0.783383 | − | 5.23319i | 0.148045 | − | 0.988981i | ||||
\(29\) | 3.90427 | 0.725005 | 0.362503 | − | 0.931983i | \(-0.381922\pi\) | ||||
0.362503 | + | 0.931983i | \(0.381922\pi\) | |||||||
\(30\) | 6.70845 | − | 1.94609i | 1.22479 | − | 0.355306i | ||||
\(31\) | −0.858051 | + | 0.495396i | −0.154111 | + | 0.0889758i | −0.575072 | − | 0.818103i | \(-0.695026\pi\) |
0.420962 | + | 0.907078i | \(0.361693\pi\) | |||||||
\(32\) | −3.27893 | − | 4.60963i | −0.579638 | − | 0.814874i | ||||
\(33\) | 2.99932 | − | 7.85123i | 0.522115 | − | 1.36672i | ||||
\(34\) | −3.95689 | + | 2.99094i | −0.678600 | + | 0.512942i | ||||
\(35\) | −6.00030 | + | 4.57370i | −1.01424 | + | 0.773097i | ||||
\(36\) | −0.246481 | − | 5.99494i | −0.0410801 | − | 0.999156i | ||||
\(37\) | 1.06516 | + | 0.614970i | 0.175111 | + | 0.101100i | 0.584994 | − | 0.811038i | \(-0.301097\pi\) |
−0.409883 | + | 0.912138i | \(0.634430\pi\) | |||||||
\(38\) | −8.19322 | − | 3.46348i | −1.32912 | − | 0.561850i | ||||
\(39\) | 3.00591 | + | 3.69980i | 0.481330 | + | 0.592442i | ||||
\(40\) | −1.22627 | + | 7.97185i | −0.193890 | + | 1.26046i | ||||
\(41\) | 2.10659 | 0.328995 | 0.164497 | − | 0.986378i | \(-0.447400\pi\) | ||||
0.164497 | + | 0.986378i | \(0.447400\pi\) | |||||||
\(42\) | 2.58351 | + | 5.94352i | 0.398645 | + | 0.917105i | ||||
\(43\) | 5.11768i | 0.780439i | 0.920722 | + | 0.390220i | \(0.127601\pi\) | ||||
−0.920722 | + | 0.390220i | \(0.872399\pi\) | |||||||
\(44\) | 6.76223 | + | 6.96103i | 1.01944 | + | 1.04942i | ||||
\(45\) | −5.70384 | + | 6.37590i | −0.850279 | + | 0.950463i | ||||
\(46\) | −2.00837 | + | 4.75100i | −0.296117 | + | 0.700497i | ||||
\(47\) | −5.61268 | + | 9.72145i | −0.818693 | + | 1.41802i | 0.0879518 | + | 0.996125i | \(0.471968\pi\) |
−0.906645 | + | 0.421894i | \(0.861365\pi\) | |||||||
\(48\) | 6.39768 | + | 2.65888i | 0.923426 | + | 0.383776i | ||||
\(49\) | −4.91791 | − | 4.98138i | −0.702558 | − | 0.711626i | ||||
\(50\) | 3.53319 | − | 2.67068i | 0.499668 | − | 0.377691i | ||||
\(51\) | 2.16791 | − | 5.67487i | 0.303568 | − | 0.794641i | ||||
\(52\) | −5.33694 | + | 1.34748i | −0.740101 | + | 0.186862i | ||||
\(53\) | −1.00417 | − | 1.73927i | −0.137933 | − | 0.238907i | 0.788781 | − | 0.614674i | \(-0.210712\pi\) |
−0.926714 | + | 0.375767i | \(0.877379\pi\) | |||||||
\(54\) | 4.14757 | + | 6.06611i | 0.564413 | + | 0.825492i | ||||
\(55\) | − | 13.8373i | − | 1.86582i | ||||||
\(56\) | −7.48099 | − | 0.186576i | −0.999689 | − | 0.0249323i | ||||
\(57\) | 10.7575 | − | 1.72156i | 1.42486 | − | 0.228026i | ||||
\(58\) | −0.681029 | − | 5.47932i | −0.0894235 | − | 0.719469i | ||||
\(59\) | −0.890996 | + | 0.514417i | −0.115998 | + | 0.0669714i | −0.556876 | − | 0.830595i | \(-0.688000\pi\) |
0.440879 | + | 0.897567i | \(0.354667\pi\) | |||||||
\(60\) | −3.90134 | − | 9.07528i | −0.503661 | − | 1.17161i | ||||
\(61\) | 1.24347 | − | 2.15376i | 0.159211 | − | 0.275761i | −0.775374 | − | 0.631503i | \(-0.782438\pi\) |
0.934584 | + | 0.355742i | \(0.115772\pi\) | |||||||
\(62\) | 0.844918 | + | 1.11779i | 0.107305 | + | 0.141959i | ||||
\(63\) | −6.54135 | − | 4.49563i | −0.824133 | − | 0.566397i | ||||
\(64\) | −5.89727 | + | 5.40576i | −0.737159 | + | 0.675720i | ||||
\(65\) | 6.79681 | + | 3.92414i | 0.843040 | + | 0.486729i | ||||
\(66\) | −11.5417 | − | 2.83979i | −1.42069 | − | 0.349554i | ||||
\(67\) | 5.02777 | − | 2.90279i | 0.614240 | − | 0.354632i | −0.160383 | − | 0.987055i | \(-0.551273\pi\) |
0.774623 | + | 0.632423i | \(0.217940\pi\) | |||||||
\(68\) | 4.88774 | + | 5.03144i | 0.592725 | + | 0.610151i | ||||
\(69\) | −0.998281 | − | 6.23793i | −0.120179 | − | 0.750958i | ||||
\(70\) | 7.46545 | + | 7.62311i | 0.892292 | + | 0.911136i | ||||
\(71\) | − | 9.75277i | − | 1.15744i | −0.815526 | − | 0.578720i | \(-0.803552\pi\) | ||
0.815526 | − | 0.578720i | \(-0.196448\pi\) | |||||||
\(72\) | −8.37039 | + | 1.39162i | −0.986460 | + | 0.164004i | ||||
\(73\) | 0.291019 | − | 0.168020i | 0.0340612 | − | 0.0196652i | −0.482873 | − | 0.875691i | \(-0.660407\pi\) |
0.516934 | + | 0.856025i | \(0.327073\pi\) | |||||||
\(74\) | 0.677260 | − | 1.60213i | 0.0787299 | − | 0.186244i | ||||
\(75\) | −1.93577 | + | 5.06722i | −0.223524 | + | 0.585112i | ||||
\(76\) | −3.43154 | + | 12.1026i | −0.393624 | + | 1.38827i | ||||
\(77\) | 12.7338 | − | 1.63491i | 1.45115 | − | 0.186316i | ||||
\(78\) | 4.66803 | − | 4.86390i | 0.528550 | − | 0.550728i | ||||
\(79\) | −2.80082 | + | 4.85116i | −0.315117 | + | 0.545798i | −0.979462 | − | 0.201627i | \(-0.935377\pi\) |
0.664346 | + | 0.747426i | \(0.268710\pi\) | |||||||
\(80\) | 11.4017 | + | 0.330420i | 1.27475 | + | 0.0369421i | ||||
\(81\) | −8.24530 | − | 3.60764i | −0.916144 | − | 0.400849i | ||||
\(82\) | −0.367457 | − | 2.95643i | −0.0405788 | − | 0.326483i | ||||
\(83\) | − | 0.138115i | − | 0.0151600i | −0.999971 | − | 0.00758002i | \(-0.997587\pi\) | ||
0.999971 | − | 0.00758002i | \(-0.00241282\pi\) | |||||||
\(84\) | 7.89058 | − | 4.66248i | 0.860933 | − | 0.508718i | ||||
\(85\) | − | 10.0016i | − | 1.08482i | ||||||
\(86\) | 7.18223 | − | 0.892686i | 0.774480 | − | 0.0962609i | ||||
\(87\) | 4.26417 | + | 5.24852i | 0.457167 | + | 0.562700i | ||||
\(88\) | 8.58967 | − | 10.7044i | 0.915662 | − | 1.14110i | ||||
\(89\) | −0.580993 | + | 1.00631i | −0.0615852 | + | 0.106669i | −0.895174 | − | 0.445717i | \(-0.852949\pi\) |
0.833589 | + | 0.552385i | \(0.186282\pi\) | |||||||
\(90\) | 9.94296 | + | 6.89270i | 1.04808 | + | 0.726554i | ||||
\(91\) | −2.80813 | + | 6.71841i | −0.294372 | + | 0.704281i | ||||
\(92\) | 7.01795 | + | 1.98985i | 0.731671 | + | 0.207456i | ||||
\(93\) | −1.60311 | − | 0.612418i | −0.166234 | − | 0.0635048i | ||||
\(94\) | 14.6223 | + | 6.18119i | 1.50817 | + | 0.637541i | ||||
\(95\) | 15.5333 | − | 8.96815i | 1.59368 | − | 0.920113i | ||||
\(96\) | 2.61555 | − | 9.44240i | 0.266949 | − | 0.963711i | ||||
\(97\) | − | 11.0953i | − | 1.12656i | −0.826266 | − | 0.563280i | \(-0.809539\pi\) | ||
0.826266 | − | 0.563280i | \(-0.190461\pi\) | |||||||
\(98\) | −6.13311 | + | 7.77078i | −0.619538 | + | 0.784967i | ||||
\(99\) | 13.8302 | − | 4.54296i | 1.38999 | − | 0.456585i | ||||
\(100\) | −4.36437 | − | 4.49268i | −0.436437 | − | 0.449268i | ||||
\(101\) | −6.16256 | + | 3.55796i | −0.613198 | + | 0.354030i | −0.774216 | − | 0.632922i | \(-0.781856\pi\) |
0.161018 | + | 0.986951i | \(0.448522\pi\) | |||||||
\(102\) | −8.34235 | − | 2.05260i | −0.826016 | − | 0.203238i | ||||
\(103\) | 1.50519 | + | 0.869021i | 0.148311 | + | 0.0856271i | 0.572319 | − | 0.820031i | \(-0.306044\pi\) |
−0.424008 | + | 0.905658i | \(0.639377\pi\) | |||||||
\(104\) | 2.82201 | + | 7.25490i | 0.276721 | + | 0.711402i | ||||
\(105\) | −12.7018 | − | 3.07091i | −1.23957 | − | 0.299690i | ||||
\(106\) | −2.26576 | + | 1.71265i | −0.220070 | + | 0.166347i | ||||
\(107\) | 0.532028 | − | 0.921500i | 0.0514331 | − | 0.0890847i | −0.839163 | − | 0.543881i | \(-0.816954\pi\) |
0.890596 | + | 0.454796i | \(0.150288\pi\) | |||||||
\(108\) | 7.78980 | − | 6.87889i | 0.749573 | − | 0.661921i | ||||
\(109\) | −7.85874 | + | 4.53725i | −0.752731 | + | 0.434589i | −0.826680 | − | 0.562673i | \(-0.809773\pi\) |
0.0739489 | + | 0.997262i | \(0.476440\pi\) | |||||||
\(110\) | −19.4194 | + | 2.41366i | −1.85157 | + | 0.230133i | ||||
\(111\) | 0.336640 | + | 2.10355i | 0.0319524 | + | 0.199660i | ||||
\(112\) | 1.04308 | + | 10.5315i | 0.0985616 | + | 0.995131i | ||||
\(113\) | 16.8126i | 1.58159i | 0.612078 | + | 0.790797i | \(0.290334\pi\) | ||||
−0.612078 | + | 0.790797i | \(0.709666\pi\) | |||||||
\(114\) | −4.29251 | − | 14.7969i | −0.402030 | − | 1.38586i | ||||
\(115\) | −5.20036 | − | 9.00729i | −0.484936 | − | 0.839934i | ||||
\(116\) | −7.57096 | + | 1.91153i | −0.702946 | + | 0.177481i | ||||
\(117\) | −1.69066 | + | 8.08169i | −0.156301 | + | 0.747152i | ||||
\(118\) | 0.877358 | + | 1.16071i | 0.0807674 | + | 0.106852i | ||||
\(119\) | 9.20396 | − | 1.18172i | 0.843726 | − | 0.108328i | ||||
\(120\) | −12.0559 | + | 7.05821i | −1.10055 | + | 0.644324i | ||||
\(121\) | −6.27296 | + | 10.8651i | −0.570269 | + | 0.987735i | ||||
\(122\) | −3.23952 | − | 1.36943i | −0.293293 | − | 0.123982i | ||||
\(123\) | 2.30078 | + | 2.83190i | 0.207454 | + | 0.255343i | ||||
\(124\) | 1.42134 | − | 1.38075i | 0.127640 | − | 0.123995i | ||||
\(125\) | − | 5.32750i | − | 0.476506i | ||||||
\(126\) | −5.16822 | + | 9.96441i | −0.460422 | + | 0.887700i | ||||
\(127\) | 15.6371 | 1.38756 | 0.693782 | − | 0.720185i | \(-0.255943\pi\) | ||||
0.693782 | + | 0.720185i | \(0.255943\pi\) | |||||||
\(128\) | 8.61519 | + | 7.33338i | 0.761483 | + | 0.648185i | ||||
\(129\) | −6.87971 | + | 5.58943i | −0.605724 | + | 0.492122i | ||||
\(130\) | 4.32162 | − | 10.2232i | 0.379031 | − | 0.896637i | ||||
\(131\) | −8.73260 | − | 5.04177i | −0.762971 | − | 0.440502i | 0.0673904 | − | 0.997727i | \(-0.478533\pi\) |
−0.830361 | + | 0.557225i | \(0.811866\pi\) | |||||||
\(132\) | −1.97216 | + | 16.6932i | −0.171655 | + | 1.45295i | ||||
\(133\) | 10.0883 | + | 13.2349i | 0.874763 | + | 1.14761i | ||||
\(134\) | −4.95082 | − | 6.54971i | −0.427685 | − | 0.565809i | ||||
\(135\) | −14.8007 | − | 0.704060i | −1.27385 | − | 0.0605958i | ||||
\(136\) | 6.20862 | − | 7.73717i | 0.532384 | − | 0.663457i | ||||
\(137\) | −17.0704 | + | 9.85557i | −1.45842 | + | 0.842019i | −0.998934 | − | 0.0461669i | \(-0.985299\pi\) |
−0.459485 | + | 0.888185i | \(0.651966\pi\) | |||||||
\(138\) | −8.58027 | + | 2.48909i | −0.730401 | + | 0.211886i | ||||
\(139\) | −0.111832 | −0.00948546 | −0.00474273 | − | 0.999989i | \(-0.501510\pi\) | ||||
−0.00474273 | + | 0.999989i | \(0.501510\pi\) | |||||||
\(140\) | 9.39618 | − | 11.8068i | 0.794122 | − | 0.997860i | ||||
\(141\) | −19.1986 | + | 3.07243i | −1.61681 | + | 0.258745i | ||||
\(142\) | −13.6872 | + | 1.70119i | −1.14860 | + | 0.142761i | ||||
\(143\) | −6.67743 | − | 11.5657i | −0.558395 | − | 0.967169i | ||||
\(144\) | 3.41308 | + | 11.5044i | 0.284424 | + | 0.958699i | ||||
\(145\) | 9.64192 | + | 5.56676i | 0.800718 | + | 0.462295i | ||||
\(146\) | −0.286564 | − | 0.379112i | −0.0237162 | − | 0.0313755i | ||||
\(147\) | 1.32524 | − | 12.0517i | 0.109304 | − | 0.994008i | ||||
\(148\) | −2.36659 | − | 0.671015i | −0.194532 | − | 0.0551571i | ||||
\(149\) | −5.49834 | + | 9.52340i | −0.450441 | + | 0.780187i | −0.998413 | − | 0.0563094i | \(-0.982067\pi\) |
0.547972 | + | 0.836497i | \(0.315400\pi\) | |||||||
\(150\) | 7.44907 | + | 1.83281i | 0.608214 | + | 0.149648i | ||||
\(151\) | 4.16727 | + | 7.21792i | 0.339127 | + | 0.587386i | 0.984269 | − | 0.176677i | \(-0.0565349\pi\) |
−0.645141 | + | 0.764063i | \(0.723202\pi\) | |||||||
\(152\) | 17.5836 | + | 2.70479i | 1.42622 | + | 0.219387i | ||||
\(153\) | 9.99648 | − | 3.28365i | 0.808168 | − | 0.265468i | ||||
\(154\) | −4.51563 | − | 17.5856i | −0.363880 | − | 1.41708i | ||||
\(155\) | −2.82537 | −0.226939 | ||||||||
\(156\) | −7.64032 | − | 5.70276i | −0.611715 | − | 0.456587i | ||||
\(157\) | −5.42198 | − | 9.39114i | −0.432721 | − | 0.749495i | 0.564386 | − | 0.825511i | \(-0.309113\pi\) |
−0.997107 | + | 0.0760165i | \(0.975780\pi\) | |||||||
\(158\) | 7.29674 | + | 3.08451i | 0.580498 | + | 0.245391i | ||||
\(159\) | 1.24137 | − | 3.24949i | 0.0984470 | − | 0.257702i | ||||
\(160\) | −1.52510 | − | 16.0590i | −0.120570 | − | 1.26957i | ||||
\(161\) | 7.67452 | − | 5.84987i | 0.604837 | − | 0.461035i | ||||
\(162\) | −3.62478 | + | 12.2009i | −0.284790 | + | 0.958590i | ||||
\(163\) | 10.0621 | + | 5.80934i | 0.788122 | + | 0.455022i | 0.839301 | − | 0.543667i | \(-0.182965\pi\) |
−0.0511792 | + | 0.998689i | \(0.516298\pi\) | |||||||
\(164\) | −4.08500 | + | 1.03139i | −0.318985 | + | 0.0805379i | ||||
\(165\) | 18.6014 | − | 15.1128i | 1.44812 | − | 1.17653i | ||||
\(166\) | −0.193832 | + | 0.0240916i | −0.0150443 | + | 0.00186987i | ||||
\(167\) | 7.75061 | 0.599761 | 0.299880 | − | 0.953977i | \(-0.403053\pi\) | ||||
0.299880 | + | 0.953977i | \(0.403053\pi\) | |||||||
\(168\) | −7.91976 | − | 10.2605i | −0.611023 | − | 0.791613i | ||||
\(169\) | −5.42533 | −0.417333 | ||||||||
\(170\) | −14.0364 | + | 1.74459i | −1.07654 | + | 0.133804i | ||||
\(171\) | 14.0634 | + | 12.5810i | 1.07545 | + | 0.962094i | ||||
\(172\) | −2.50562 | − | 9.92394i | −0.191052 | − | 0.756693i | ||||
\(173\) | −0.880487 | − | 0.508349i | −0.0669422 | − | 0.0386491i | 0.466155 | − | 0.884703i | \(-0.345639\pi\) |
−0.533098 | + | 0.846054i | \(0.678972\pi\) | |||||||
\(174\) | 6.62204 | − | 6.89990i | 0.502016 | − | 0.523080i | ||||
\(175\) | −8.21842 | + | 1.05518i | −0.621254 | + | 0.0797642i | ||||
\(176\) | −16.5211 | − | 10.1877i | −1.24532 | − | 0.767925i | ||||
\(177\) | −1.66466 | − | 0.635932i | −0.125123 | − | 0.0477996i | ||||
\(178\) | 1.51361 | + | 0.639843i | 0.113450 | + | 0.0479582i | ||||
\(179\) | 10.8103 | + | 18.7240i | 0.808002 | + | 1.39950i | 0.914246 | + | 0.405160i | \(0.132784\pi\) |
−0.106244 | + | 0.994340i | \(0.533883\pi\) | |||||||
\(180\) | 7.93895 | − | 15.1564i | 0.591734 | − | 1.12969i | ||||
\(181\) | −9.37049 | −0.696503 | −0.348251 | − | 0.937401i | \(-0.613224\pi\) | ||||
−0.348251 | + | 0.937401i | \(0.613224\pi\) | |||||||
\(182\) | 9.91855 | + | 2.76906i | 0.735212 | + | 0.205257i | ||||
\(183\) | 4.25340 | − | 0.680689i | 0.314420 | − | 0.0503180i | ||||
\(184\) | 1.56843 | − | 10.1962i | 0.115626 | − | 0.751673i | ||||
\(185\) | 1.75366 | + | 3.03743i | 0.128932 | + | 0.223317i | ||||
\(186\) | −0.579844 | + | 2.35665i | −0.0425162 | + | 0.172798i | ||||
\(187\) | −8.50950 | + | 14.7389i | −0.622276 | + | 1.07781i | ||||
\(188\) | 6.12419 | − | 21.5993i | 0.446652 | − | 1.57529i | ||||
\(189\) | −1.10084 | − | 13.7036i | −0.0800744 | − | 0.996789i | ||||
\(190\) | −15.2955 | − | 20.2353i | −1.10966 | − | 1.46803i | ||||
\(191\) | −7.70657 | − | 4.44939i | −0.557628 | − | 0.321947i | 0.194565 | − | 0.980890i | \(-0.437671\pi\) |
−0.752193 | + | 0.658943i | \(0.771004\pi\) | |||||||
\(192\) | −13.7078 | − | 2.02365i | −0.989278 | − | 0.146044i | ||||
\(193\) | 7.45779 | + | 12.9173i | 0.536824 | + | 0.929806i | 0.999073 | + | 0.0430556i | \(0.0137093\pi\) |
−0.462249 | + | 0.886750i | \(0.652957\pi\) | |||||||
\(194\) | −15.5713 | + | 1.93538i | −1.11796 | + | 0.138952i | ||||
\(195\) | 2.14811 | + | 13.4228i | 0.153829 | + | 0.961228i | ||||
\(196\) | 11.9754 | + | 7.25183i | 0.855388 | + | 0.517988i | ||||
\(197\) | 2.74394 | 0.195497 | 0.0977487 | − | 0.995211i | \(-0.468836\pi\) | ||||
0.0977487 | + | 0.995211i | \(0.468836\pi\) | |||||||
\(198\) | −8.78808 | − | 18.6171i | −0.624542 | − | 1.32306i | ||||
\(199\) | −20.1826 | + | 11.6525i | −1.43071 | + | 0.826021i | −0.997175 | − | 0.0751162i | \(-0.976067\pi\) |
−0.433535 | + | 0.901137i | \(0.642734\pi\) | |||||||
\(200\) | −5.54381 | + | 6.90869i | −0.392007 | + | 0.488518i | ||||
\(201\) | 9.39344 | + | 3.58848i | 0.662562 | + | 0.253112i | ||||
\(202\) | 6.06823 | + | 8.02801i | 0.426959 | + | 0.564849i | ||||
\(203\) | −3.98360 | + | 9.53071i | −0.279594 | + | 0.668925i | ||||
\(204\) | −1.42548 | + | 12.0658i | −0.0998035 | + | 0.844776i | ||||
\(205\) | 5.20240 | + | 3.00361i | 0.363352 | + | 0.209781i | ||||
\(206\) | 0.957044 | − | 2.26399i | 0.0666804 | − | 0.157740i | ||||
\(207\) | 7.29535 | − | 8.15492i | 0.507062 | − | 0.566806i | ||||
\(208\) | 9.68939 | − | 5.22594i | 0.671838 | − | 0.362354i | ||||
\(209\) | −30.5210 | −2.11118 | ||||||||
\(210\) | −2.09415 | + | 18.3616i | −0.144510 | + | 1.26707i | ||||
\(211\) | − | 20.3918i | − | 1.40383i | −0.712259 | − | 0.701916i | \(-0.752328\pi\) | ||
0.712259 | − | 0.701916i | \(-0.247672\pi\) | |||||||
\(212\) | 2.79877 | + | 2.88105i | 0.192220 | + | 0.197872i | ||||
\(213\) | 13.1107 | − | 10.6518i | 0.898328 | − | 0.729847i | ||||
\(214\) | −1.38605 | − | 0.585917i | −0.0947484 | − | 0.0400525i | ||||
\(215\) | −7.29686 | + | 12.6385i | −0.497642 | + | 0.861941i | ||||
\(216\) | −11.0127 | − | 9.73242i | −0.749321 | − | 0.662207i | ||||
\(217\) | −0.333826 | − | 2.60005i | −0.0226616 | − | 0.176503i | ||||
\(218\) | 7.73845 | + | 10.2376i | 0.524114 | + | 0.693380i | ||||
\(219\) | 0.543714 | + | 0.207709i | 0.0367408 | + | 0.0140357i | ||||
\(220\) | 6.77473 | + | 26.8325i | 0.456752 | + | 1.80905i | ||||
\(221\) | −4.82645 | − | 8.35966i | −0.324662 | − | 0.562332i | ||||
\(222\) | 2.89343 | − | 0.839371i | 0.194195 | − | 0.0563349i | ||||
\(223\) | 11.4666i | 0.767860i | 0.923362 | + | 0.383930i | \(0.125430\pi\) | ||||
−0.923362 | + | 0.383930i | \(0.874570\pi\) | |||||||
\(224\) | 14.5981 | − | 3.30090i | 0.975376 | − | 0.220550i | ||||
\(225\) | −8.92608 | + | 2.93204i | −0.595072 | + | 0.195470i | ||||
\(226\) | 23.5950 | − | 2.93265i | 1.56952 | − | 0.195077i | ||||
\(227\) | 18.3699 | − | 10.6059i | 1.21926 | − | 0.703938i | 0.254497 | − | 0.967073i | \(-0.418090\pi\) |
0.964759 | + | 0.263136i | \(0.0847567\pi\) | |||||||
\(228\) | −20.0174 | + | 8.60521i | −1.32569 | + | 0.569894i | ||||
\(229\) | 1.13465 | − | 1.96528i | 0.0749800 | − | 0.129869i | −0.826098 | − | 0.563527i | \(-0.809444\pi\) |
0.901078 | + | 0.433658i | \(0.142777\pi\) | |||||||
\(230\) | −11.7339 | + | 8.86942i | −0.773707 | + | 0.584832i | ||||
\(231\) | 16.1054 | + | 15.3324i | 1.05965 | + | 1.00880i | ||||
\(232\) | 4.00329 | + | 10.2918i | 0.262829 | + | 0.675688i | ||||
\(233\) | 22.5624 | + | 13.0264i | 1.47811 | + | 0.853389i | 0.999694 | − | 0.0247423i | \(-0.00787651\pi\) |
0.478420 | + | 0.878131i | \(0.341210\pi\) | |||||||
\(234\) | 11.6369 | + | 0.962988i | 0.760726 | + | 0.0629525i | ||||
\(235\) | −27.7219 | + | 16.0053i | −1.80838 | + | 1.04407i | ||||
\(236\) | 1.47591 | − | 1.43376i | 0.0960738 | − | 0.0933300i | ||||
\(237\) | −9.58042 | + | 1.53319i | −0.622315 | + | 0.0995916i | ||||
\(238\) | −3.26390 | − | 12.7108i | −0.211567 | − | 0.823922i | ||||
\(239\) | − | 8.32874i | − | 0.538742i | −0.963037 | − | 0.269371i | \(-0.913184\pi\) | ||
0.963037 | − | 0.269371i | \(-0.0868157\pi\) | |||||||
\(240\) | 12.0085 | + | 15.6882i | 0.775147 | + | 1.01267i | ||||
\(241\) | 6.24112 | − | 3.60331i | 0.402026 | − | 0.232110i | −0.285332 | − | 0.958429i | \(-0.592104\pi\) |
0.687358 | + | 0.726319i | \(0.258771\pi\) | |||||||
\(242\) | 16.3424 | + | 6.90835i | 1.05053 | + | 0.444085i | ||||
\(243\) | −4.15558 | − | 15.0244i | −0.266581 | − | 0.963813i | ||||
\(244\) | −1.35680 | + | 4.78527i | −0.0868601 | + | 0.306345i | ||||
\(245\) | −5.04265 | − | 19.3139i | −0.322163 | − | 1.23392i | ||||
\(246\) | 3.57300 | − | 3.72292i | 0.227806 | − | 0.237365i | ||||
\(247\) | 8.65550 | − | 14.9918i | 0.550736 | − | 0.953904i | ||||
\(248\) | −2.18569 | − | 1.75389i | −0.138791 | − | 0.111372i | ||||
\(249\) | 0.185668 | − | 0.150846i | 0.0117662 | − | 0.00955947i | ||||
\(250\) | −7.47669 | + | 0.929285i | −0.472867 | + | 0.0587731i | ||||
\(251\) | − | 8.41270i | − | 0.531005i | −0.964110 | − | 0.265502i | \(-0.914462\pi\) | ||
0.964110 | − | 0.265502i | \(-0.0855378\pi\) | |||||||
\(252\) | 14.8857 | + | 5.51505i | 0.937711 | + | 0.347415i | ||||
\(253\) | 17.6982i | 1.11268i | ||||||||
\(254\) | −2.72760 | − | 21.9453i | −0.171145 | − | 1.37697i | ||||
\(255\) | 13.4451 | − | 10.9235i | 0.841967 | − | 0.684057i | ||||
\(256\) | 8.78901 | − | 13.3699i | 0.549313 | − | 0.835616i | ||||
\(257\) | 15.1284 | − | 26.2032i | 0.943685 | − | 1.63451i | 0.185321 | − | 0.982678i | \(-0.440668\pi\) |
0.758364 | − | 0.651832i | \(-0.225999\pi\) | |||||||
\(258\) | 9.04432 | + | 8.68011i | 0.563075 | + | 0.540400i | ||||
\(259\) | −2.58800 | + | 1.97269i | −0.160810 | + | 0.122577i | ||||
\(260\) | −15.1013 | − | 4.28176i | −0.936541 | − | 0.265544i | ||||
\(261\) | −2.39836 | + | 11.4646i | −0.148454 | + | 0.709644i | ||||
\(262\) | −5.55245 | + | 13.1349i | −0.343032 | + | 0.811478i | ||||
\(263\) | −20.9078 | + | 12.0711i | −1.28923 | + | 0.744338i | −0.978517 | − | 0.206166i | \(-0.933901\pi\) |
−0.310714 | + | 0.950504i | \(0.600568\pi\) | |||||||
\(264\) | 23.7714 | − | 0.144056i | 1.46303 | − | 0.00886604i | ||||
\(265\) | − | 5.72701i | − | 0.351808i | ||||||
\(266\) | 16.8144 | − | 16.4666i | 1.03095 | − | 1.00963i | ||||
\(267\) | −1.98733 | + | 0.318041i | −0.121623 | + | 0.0194638i | ||||
\(268\) | −8.32839 | + | 8.09053i | −0.508737 | + | 0.494208i | ||||
\(269\) | 17.4083 | − | 10.0507i | 1.06140 | − | 0.612800i | 0.135581 | − | 0.990766i | \(-0.456710\pi\) |
0.925819 | + | 0.377966i | \(0.123377\pi\) | |||||||
\(270\) | 1.59363 | + | 20.8944i | 0.0969853 | + | 1.27159i | ||||
\(271\) | −1.57903 | − | 0.911656i | −0.0959195 | − | 0.0553791i | 0.451273 | − | 0.892386i | \(-0.350970\pi\) |
−0.547192 | + | 0.837007i | \(0.684303\pi\) | |||||||
\(272\) | −11.9414 | − | 7.36366i | −0.724056 | − | 0.446487i | ||||
\(273\) | −12.0985 | + | 3.56274i | −0.732237 | + | 0.215627i | ||||
\(274\) | 16.8091 | + | 22.2377i | 1.01547 | + | 1.34343i | ||||
\(275\) | 7.59832 | − | 13.1607i | 0.458196 | − | 0.793618i | ||||
\(276\) | 4.98990 | + | 11.6075i | 0.300357 | + | 0.698689i | ||||
\(277\) | −11.4072 | + | 6.58598i | −0.685395 | + | 0.395713i | −0.801885 | − | 0.597479i | \(-0.796169\pi\) |
0.116490 | + | 0.993192i | \(0.462836\pi\) | |||||||
\(278\) | 0.0195070 | + | 0.156947i | 0.00116995 | + | 0.00941303i | ||||
\(279\) | −0.927606 | − | 2.82393i | −0.0555343 | − | 0.169064i | ||||
\(280\) | −18.2089 | − | 11.1273i | −1.08819 | − | 0.664981i | ||||
\(281\) | − | 15.3821i | − | 0.917618i | −0.888535 | − | 0.458809i | \(-0.848276\pi\) | ||
0.888535 | − | 0.458809i | \(-0.151724\pi\) | |||||||
\(282\) | 7.66074 | + | 26.4077i | 0.456190 | + | 1.57255i | ||||
\(283\) | −4.64882 | − | 8.05200i | −0.276344 | − | 0.478641i | 0.694129 | − | 0.719850i | \(-0.255790\pi\) |
−0.970473 | + | 0.241209i | \(0.922456\pi\) | |||||||
\(284\) | 4.77496 | + | 18.9121i | 0.283342 | + | 1.12222i | ||||
\(285\) | 29.0210 | + | 11.0866i | 1.71906 | + | 0.656713i | ||||
\(286\) | −15.0667 | + | 11.3886i | −0.890910 | + | 0.673424i | ||||
\(287\) | −2.14939 | + | 5.14240i | −0.126875 | + | 0.303546i | ||||
\(288\) | 15.5501 | − | 6.79670i | 0.916297 | − | 0.400500i | ||||
\(289\) | 2.34933 | − | 4.06916i | 0.138196 | − | 0.239362i | ||||
\(290\) | 6.13062 | − | 14.5026i | 0.360003 | − | 0.851624i | ||||
\(291\) | 14.9154 | − | 12.1181i | 0.874359 | − | 0.710374i | ||||
\(292\) | −0.482066 | + | 0.468298i | −0.0282108 | + | 0.0274051i | ||||
\(293\) | 17.8462i | 1.04258i | 0.853378 | + | 0.521292i | \(0.174550\pi\) | ||||
−0.853378 | + | 0.521292i | \(0.825450\pi\) | |||||||
\(294\) | −17.1447 | + | 0.242334i | −0.999900 | + | 0.0141332i | ||||
\(295\) | −2.93385 | −0.170815 | ||||||||
\(296\) | −0.528904 | + | 3.43835i | −0.0307419 | + | 0.199850i | ||||
\(297\) | 21.2122 | + | 13.6302i | 1.23086 | + | 0.790907i | ||||
\(298\) | 14.3244 | + | 6.05527i | 0.829788 | + | 0.350772i | ||||
\(299\) | −8.69327 | − | 5.01906i | −0.502745 | − | 0.290260i | ||||
\(300\) | 1.27284 | − | 10.7738i | 0.0734875 | − | 0.622028i | ||||
\(301\) | −12.4928 | − | 5.22166i | −0.720071 | − | 0.300971i | ||||
\(302\) | 9.40283 | − | 7.10744i | 0.541072 | − | 0.408987i | ||||
\(303\) | −11.5136 | − | 4.39841i | −0.661438 | − | 0.252682i | ||||
\(304\) | 0.728810 | − | 25.1489i | 0.0418001 | − | 1.44239i | ||||
\(305\) | 6.14172 | − | 3.54592i | 0.351674 | − | 0.203039i | ||||
\(306\) | −6.35203 | − | 13.4564i | −0.363121 | − | 0.769253i | ||||
\(307\) | 17.6654 | 1.00822 | 0.504110 | − | 0.863640i | \(-0.331821\pi\) | ||||
0.504110 | + | 0.863640i | \(0.331821\pi\) | |||||||
\(308\) | −23.8922 | + | 9.40479i | −1.36138 | + | 0.535888i | ||||
\(309\) | 0.475709 | + | 2.97255i | 0.0270622 | + | 0.169103i | ||||
\(310\) | 0.492834 | + | 3.96516i | 0.0279911 | + | 0.225206i | ||||
\(311\) | 4.15091 | + | 7.18958i | 0.235376 | + | 0.407684i | 0.959382 | − | 0.282110i | \(-0.0910344\pi\) |
−0.724006 | + | 0.689794i | \(0.757701\pi\) | |||||||
\(312\) | −6.67063 | + | 11.7173i | −0.377650 | + | 0.663360i | ||||
\(313\) | −23.0954 | − | 13.3342i | −1.30543 | − | 0.753691i | −0.324101 | − | 0.946023i | \(-0.605062\pi\) |
−0.981330 | + | 0.192332i | \(0.938395\pi\) | |||||||
\(314\) | −12.2339 | + | 9.24740i | −0.690399 | + | 0.521861i | ||||
\(315\) | −9.74446 | − | 20.4291i | −0.549038 | − | 1.15105i | ||||
\(316\) | 3.05607 | − | 10.7784i | 0.171917 | − | 0.606332i | ||||
\(317\) | −14.4097 | + | 24.9584i | −0.809331 | + | 1.40180i | 0.103996 | + | 0.994578i | \(0.466837\pi\) |
−0.913328 | + | 0.407225i | \(0.866496\pi\) | |||||||
\(318\) | −4.77692 | − | 1.17534i | −0.267876 | − | 0.0659099i | ||||
\(319\) | −9.47258 | − | 16.4070i | −0.530362 | − | 0.918615i | ||||
\(320\) | −22.2714 | + | 4.94155i | −1.24501 | + | 0.276241i | ||||
\(321\) | 1.81984 | − | 0.291237i | 0.101574 | − | 0.0162553i | ||||
\(322\) | −9.54848 | − | 9.75014i | −0.532116 | − | 0.543354i | ||||
\(323\) | −22.0606 | −1.22748 | ||||||||
\(324\) | 17.7551 | + | 2.95885i | 0.986397 | + | 0.164381i | ||||
\(325\) | 4.30964 | + | 7.46452i | 0.239056 | + | 0.414057i | ||||
\(326\) | 6.39776 | − | 15.1346i | 0.354339 | − | 0.838227i | ||||
\(327\) | −14.6826 | − | 5.60903i | −0.811948 | − | 0.310180i | ||||
\(328\) | 2.16002 | + | 5.55304i | 0.119267 | + | 0.306615i | ||||
\(329\) | −18.0043 | − | 23.6200i | −0.992608 | − | 1.30222i | ||||
\(330\) | −24.4542 | − | 23.4694i | −1.34616 | − | 1.29195i | ||||
\(331\) | 2.24514 | + | 1.29623i | 0.123404 | + | 0.0712472i | 0.560431 | − | 0.828201i | \(-0.310635\pi\) |
−0.437027 | + | 0.899448i | \(0.643969\pi\) | |||||||
\(332\) | 0.0676209 | + | 0.267825i | 0.00371118 | + | 0.0146988i | ||||
\(333\) | −2.46013 | + | 2.75000i | −0.134815 | + | 0.150699i | ||||
\(334\) | −1.35195 | − | 10.8773i | −0.0739756 | − | 0.595181i | ||||
\(335\) | 16.5553 | 0.904513 | ||||||||
\(336\) | −13.0182 | + | 12.9045i | −0.710203 | + | 0.703996i | ||||
\(337\) | 11.1713 | 0.608541 | 0.304271 | − | 0.952586i | \(-0.401587\pi\) | ||||
0.304271 | + | 0.952586i | \(0.401587\pi\) | |||||||
\(338\) | 0.946350 | + | 7.61399i | 0.0514747 | + | 0.414147i | ||||
\(339\) | −22.6012 | + | 18.3623i | −1.22753 | + | 0.997306i | ||||
\(340\) | 4.89678 | + | 19.3945i | 0.265565 | + | 1.05182i | ||||
\(341\) | 4.16362 | + | 2.40387i | 0.225473 | + | 0.130177i | ||||
\(342\) | 15.2033 | − | 21.9313i | 0.822100 | − | 1.18591i | ||||
\(343\) | 17.1779 | − | 6.92250i | 0.927517 | − | 0.373780i | ||||
\(344\) | −13.4903 | + | 5.24747i | −0.727351 | + | 0.282925i | ||||
\(345\) | 6.42878 | − | 16.8284i | 0.346114 | − | 0.906012i | ||||
\(346\) | −0.559840 | + | 1.32436i | −0.0300972 | + | 0.0711981i | ||||
\(347\) | 7.23643 | + | 12.5339i | 0.388472 | + | 0.672853i | 0.992244 | − | 0.124304i | \(-0.0396697\pi\) |
−0.603772 | + | 0.797157i | \(0.706336\pi\) | |||||||
\(348\) | −10.8385 | − | 8.08991i | −0.581006 | − | 0.433665i | ||||
\(349\) | 22.8018 | 1.22055 | 0.610275 | − | 0.792189i | \(-0.291059\pi\) | ||||
0.610275 | + | 0.792189i | \(0.291059\pi\) | |||||||
\(350\) | 2.91441 | + | 11.3498i | 0.155782 | + | 0.606672i | ||||
\(351\) | −12.7107 | + | 6.55390i | −0.678448 | + | 0.349821i | ||||
\(352\) | −11.4157 | + | 24.9630i | −0.608461 | + | 1.33053i | ||||
\(353\) | −2.06060 | − | 3.56907i | −0.109675 | − | 0.189962i | 0.805964 | − | 0.591965i | \(-0.201648\pi\) |
−0.915639 | + | 0.402003i | \(0.868314\pi\) | |||||||
\(354\) | −0.602107 | + | 2.44713i | −0.0320016 | + | 0.130064i | ||||
\(355\) | 13.9056 | − | 24.0852i | 0.738034 | − | 1.27831i | ||||
\(356\) | 0.633942 | − | 2.23584i | 0.0335989 | − | 0.118499i | ||||
\(357\) | 11.6410 | + | 11.0822i | 0.616105 | + | 0.586535i | ||||
\(358\) | 24.3919 | − | 18.4374i | 1.28915 | − | 0.974449i | ||||
\(359\) | 9.83790 | + | 5.67992i | 0.519225 | + | 0.299775i | 0.736617 | − | 0.676310i | \(-0.236422\pi\) |
−0.217393 | + | 0.976084i | \(0.569755\pi\) | |||||||
\(360\) | −22.6555 | − | 8.49788i | −1.19405 | − | 0.447878i | ||||
\(361\) | −10.2811 | − | 17.8074i | −0.541112 | − | 0.937234i | ||||
\(362\) | 1.63451 | + | 13.1507i | 0.0859080 | + | 0.691185i | ||||
\(363\) | −21.4571 | + | 3.43387i | −1.12621 | + | 0.180232i | ||||
\(364\) | 2.15603 | − | 14.4029i | 0.113007 | − | 0.754915i | ||||
\(365\) | 0.958259 | 0.0501576 | ||||||||
\(366\) | −1.69722 | − | 5.85055i | −0.0887149 | − | 0.305813i | ||||
\(367\) | 24.2527 | − | 14.0023i | 1.26598 | − | 0.730914i | 0.291755 | − | 0.956493i | \(-0.405761\pi\) |
0.974225 | + | 0.225580i | \(0.0724275\pi\) | |||||||
\(368\) | −14.5831 | − | 0.422615i | −0.760194 | − | 0.0220303i | ||||
\(369\) | −1.29406 | + | 6.18587i | −0.0673660 | + | 0.322024i | ||||
\(370\) | 3.95689 | − | 2.99094i | 0.205709 | − | 0.155492i | ||||
\(371\) | 5.27029 | − | 0.676664i | 0.273620 | − | 0.0351306i | ||||
\(372\) | 3.40850 | + | 0.402687i | 0.176723 | + | 0.0208783i | ||||
\(373\) | −27.1273 | − | 15.6619i | −1.40460 | − | 0.810944i | −0.409737 | − | 0.912204i | \(-0.634379\pi\) |
−0.994860 | + | 0.101259i | \(0.967713\pi\) | |||||||
\(374\) | 22.1691 | + | 9.37143i | 1.14634 | + | 0.484585i | ||||
\(375\) | 7.16176 | − | 5.81858i | 0.369832 | − | 0.300470i | ||||
\(376\) | −31.3810 | − | 4.82718i | −1.61835 | − | 0.248943i | ||||
\(377\) | 10.7454 | 0.553416 | ||||||||
\(378\) | −19.0398 | + | 3.93528i | −0.979301 | + | 0.202409i | ||||
\(379\) | 28.8128i | 1.48001i | 0.672600 | + | 0.740006i | \(0.265178\pi\) | ||||
−0.672600 | + | 0.740006i | \(0.734822\pi\) | |||||||
\(380\) | −25.7305 | + | 24.9957i | −1.31995 | + | 1.28225i | ||||
\(381\) | 17.0785 | + | 21.0209i | 0.874956 | + | 1.07693i | ||||
\(382\) | −4.90007 | + | 11.5916i | −0.250710 | + | 0.593080i | ||||
\(383\) | −12.6701 | + | 21.9453i | −0.647413 | + | 1.12135i | 0.336325 | + | 0.941746i | \(0.390816\pi\) |
−0.983738 | + | 0.179607i | \(0.942517\pi\) | |||||||
\(384\) | −0.448937 | + | 19.5908i | −0.0229097 | + | 0.999738i | ||||
\(385\) | 33.7781 | + | 14.1184i | 1.72149 | + | 0.719540i | ||||
\(386\) | 16.8274 | − | 12.7196i | 0.856493 | − | 0.647409i | ||||
\(387\) | −15.0277 | − | 3.14374i | −0.763903 | − | 0.159805i | ||||
\(388\) | 5.43227 | + | 21.5155i | 0.275782 | + | 1.09228i | ||||
\(389\) | −2.20886 | − | 3.82586i | −0.111994 | − | 0.193979i | 0.804580 | − | 0.593844i | \(-0.202390\pi\) |
−0.916574 | + | 0.399865i | \(0.869057\pi\) | |||||||
\(390\) | 18.4631 | − | 5.35605i | 0.934914 | − | 0.271214i | ||||
\(391\) | 12.7923i | 0.646932i | ||||||||
\(392\) | 8.08843 | − | 18.0715i | 0.408527 | − | 0.912746i | ||||
\(393\) | −2.75991 | − | 17.2458i | −0.139219 | − | 0.869934i | ||||
\(394\) | −0.478629 | − | 3.85088i | −0.0241130 | − | 0.194005i | ||||
\(395\) | −13.8337 | + | 7.98689i | −0.696049 | + | 0.401864i | ||||
\(396\) | −24.5946 | + | 15.5807i | −1.23592 | + | 0.782962i | ||||
\(397\) | 8.01775 | − | 13.8871i | 0.402399 | − | 0.696976i | −0.591616 | − | 0.806220i | \(-0.701510\pi\) |
0.994015 | + | 0.109244i | \(0.0348430\pi\) | |||||||
\(398\) | 19.8737 | + | 26.2921i | 0.996180 | + | 1.31790i | ||||
\(399\) | −6.77352 | + | 28.0165i | −0.339100 | + | 1.40258i | ||||
\(400\) | 10.6628 | + | 6.57517i | 0.533139 | + | 0.328759i | ||||
\(401\) | −6.53545 | − | 3.77324i | −0.326365 | − | 0.188427i | 0.327861 | − | 0.944726i | \(-0.393672\pi\) |
−0.654226 | + | 0.756299i | \(0.727006\pi\) | |||||||
\(402\) | 3.39761 | − | 13.8088i | 0.169457 | − | 0.688723i | ||||
\(403\) | −2.36154 | + | 1.36343i | −0.117637 | + | 0.0679175i | ||||
\(404\) | 10.2081 | − | 9.91659i | 0.507874 | − | 0.493369i | ||||
\(405\) | −15.2186 | − | 20.6656i | −0.756218 | − | 1.02688i | ||||
\(406\) | 14.0704 | + | 3.92818i | 0.698303 | + | 0.194952i | ||||
\(407\) | − | 5.96817i | − | 0.295831i | ||||||
\(408\) | 17.1820 | − | 0.104124i | 0.850636 | − | 0.00515490i | ||||
\(409\) | −24.3612 | + | 14.0650i | −1.20458 | + | 0.695467i | −0.961571 | − | 0.274556i | \(-0.911469\pi\) |
−0.243013 | + | 0.970023i | \(0.578136\pi\) | |||||||
\(410\) | 3.30784 | − | 7.82505i | 0.163363 | − | 0.386452i | ||||
\(411\) | −31.8927 | − | 12.1836i | −1.57315 | − | 0.600975i | ||||
\(412\) | −3.34425 | − | 0.948219i | −0.164760 | − | 0.0467154i | ||||
\(413\) | −0.346643 | − | 2.69988i | −0.0170572 | − | 0.132852i | ||||
\(414\) | −12.7173 | − | 8.81592i | −0.625020 | − | 0.433279i | ||||
\(415\) | 0.196926 | − | 0.341085i | 0.00966670 | − | 0.0167432i | ||||
\(416\) | −9.02429 | − | 12.6867i | −0.442452 | − | 0.622015i | ||||
\(417\) | −0.122140 | − | 0.150336i | −0.00598125 | − | 0.00736197i | ||||
\(418\) | 5.32383 | + | 42.8336i | 0.260397 | + | 2.09506i | ||||
\(419\) | − | 19.5661i | − | 0.955866i | −0.878396 | − | 0.477933i | \(-0.841386\pi\) | ||
0.878396 | − | 0.477933i | \(-0.158614\pi\) | |||||||
\(420\) | 26.1342 | − | 0.263882i | 1.27522 | − | 0.0128761i | ||||
\(421\) | − | 26.0983i | − | 1.27195i | −0.771708 | − | 0.635977i | \(-0.780597\pi\) | ||
0.771708 | − | 0.635977i | \(-0.219403\pi\) | |||||||
\(422\) | −28.6182 | + | 3.55699i | −1.39311 | + | 0.173151i | ||||
\(423\) | −25.0986 | − | 22.4531i | −1.22033 | − | 1.09170i | ||||
\(424\) | 3.55512 | − | 4.43039i | 0.172652 | − | 0.215159i | ||||
\(425\) | 5.49207 | − | 9.51254i | 0.266404 | − | 0.461426i | ||||
\(426\) | −17.2358 | − | 16.5417i | −0.835076 | − | 0.801447i | ||||
\(427\) | 3.98880 | + | 5.23296i | 0.193032 | + | 0.253241i | ||||
\(428\) | −0.580514 | + | 2.04740i | −0.0280602 | + | 0.0989650i | ||||
\(429\) | 8.25477 | − | 21.6082i | 0.398544 | − | 1.04326i | ||||
\(430\) | 19.0099 | + | 8.03596i | 0.916739 | + | 0.387528i | ||||
\(431\) | −10.4072 | + | 6.00858i | −0.501296 | + | 0.289423i | −0.729248 | − | 0.684249i | \(-0.760130\pi\) |
0.227953 | + | 0.973672i | \(0.426797\pi\) | |||||||
\(432\) | −11.7377 | + | 17.1531i | −0.564728 | + | 0.825277i | ||||
\(433\) | 35.6343i | 1.71247i | 0.516583 | + | 0.856237i | \(0.327204\pi\) | ||||
−0.516583 | + | 0.856237i | \(0.672796\pi\) | |||||||
\(434\) | −3.59072 | + | 0.922027i | −0.172360 | + | 0.0442587i | ||||
\(435\) | 3.04729 | + | 19.0415i | 0.146107 | + | 0.912972i | ||||
\(436\) | 13.0178 | − | 12.6460i | 0.623440 | − | 0.605635i | ||||
\(437\) | −19.8674 | + | 11.4705i | −0.950389 | + | 0.548707i | ||||
\(438\) | 0.196661 | − | 0.799287i | 0.00939683 | − | 0.0381914i | ||||
\(439\) | −11.6950 | − | 6.75210i | −0.558171 | − | 0.322260i | 0.194240 | − | 0.980954i | \(-0.437776\pi\) |
−0.752411 | + | 0.658694i | \(0.771109\pi\) | |||||||
\(440\) | 36.4754 | − | 14.1882i | 1.73890 | − | 0.676396i | ||||
\(441\) | 17.6485 | − | 11.3811i | 0.840406 | − | 0.541957i | ||||
\(442\) | −10.8902 | + | 8.23170i | −0.517993 | + | 0.391542i | ||||
\(443\) | 11.7659 | − | 20.3791i | 0.559014 | − | 0.968241i | −0.438565 | − | 0.898700i | \(-0.644513\pi\) |
0.997579 | − | 0.0695416i | \(-0.0221536\pi\) | |||||||
\(444\) | −1.68269 | − | 3.91428i | −0.0798571 | − | 0.185763i | ||||
\(445\) | −2.86962 | + | 1.65678i | −0.136033 | + | 0.0785387i | ||||
\(446\) | 16.0924 | − | 2.00014i | 0.761996 | − | 0.0947092i | ||||
\(447\) | −18.8075 | + | 3.00984i | −0.889563 | + | 0.142360i | ||||
\(448\) | −7.17890 | − | 19.9114i | −0.339171 | − | 0.940725i | ||||
\(449\) | 30.6292i | 1.44548i | 0.691120 | + | 0.722740i | \(0.257117\pi\) | ||||
−0.691120 | + | 0.722740i | \(0.742883\pi\) | |||||||
\(450\) | 5.67187 | + | 12.0155i | 0.267374 | + | 0.566418i | ||||
\(451\) | −5.11103 | − | 8.85257i | −0.240669 | − | 0.416851i | ||||
\(452\) | −8.23144 | − | 32.6021i | −0.387174 | − | 1.53347i | ||||
\(453\) | −5.15165 | + | 13.4853i | −0.242046 | + | 0.633596i | ||||
\(454\) | −18.0888 | − | 23.9307i | −0.848948 | − | 1.12312i | ||||
\(455\) | −16.5141 | + | 12.5878i | −0.774193 | + | 0.590125i | ||||
\(456\) | 15.5684 | + | 26.5917i | 0.729055 | + | 1.24527i | ||||
\(457\) | 5.80736 | − | 10.0587i | 0.271657 | − | 0.470524i | −0.697629 | − | 0.716459i | \(-0.745762\pi\) |
0.969286 | + | 0.245935i | \(0.0790950\pi\) | |||||||
\(458\) | −2.95602 | − | 1.24958i | −0.138126 | − | 0.0583892i | ||||
\(459\) | 15.3322 | + | 9.85194i | 0.715644 | + | 0.459849i | ||||
\(460\) | 14.4942 | + | 14.9204i | 0.675797 | + | 0.695665i | ||||
\(461\) | 30.8362i | 1.43618i | 0.695948 | + | 0.718092i | \(0.254985\pi\) | ||||
−0.695948 | + | 0.718092i | \(0.745015\pi\) | |||||||
\(462\) | 18.7084 | − | 25.2770i | 0.870394 | − | 1.17599i | ||||
\(463\) | −32.3199 | −1.50203 | −0.751016 | − | 0.660284i | \(-0.770436\pi\) | ||||
−0.751016 | + | 0.660284i | \(0.770436\pi\) | |||||||
\(464\) | 13.7453 | − | 7.41349i | 0.638111 | − | 0.344163i | ||||
\(465\) | −3.08581 | − | 3.79815i | −0.143101 | − | 0.176135i | ||||
\(466\) | 14.3459 | − | 33.9367i | 0.664560 | − | 1.57209i | ||||
\(467\) | 29.3749 | + | 16.9596i | 1.35931 | + | 0.784797i | 0.989531 | − | 0.144323i | \(-0.0461004\pi\) |
0.369778 | + | 0.929120i | \(0.379434\pi\) | |||||||
\(468\) | −0.678367 | − | 16.4993i | −0.0313575 | − | 0.762682i | ||||
\(469\) | 1.95606 | + | 15.2350i | 0.0903225 | + | 0.703489i | ||||
\(470\) | 27.2976 | + | 36.1135i | 1.25914 | + | 1.66579i | ||||
\(471\) | 6.70275 | − | 17.5456i | 0.308846 | − | 0.808458i | ||||
\(472\) | −2.26961 | − | 1.82123i | −0.104467 | − | 0.0838287i | ||||
\(473\) | 21.5061 | − | 12.4166i | 0.988852 | − | 0.570914i | ||||
\(474\) | 3.82283 | + | 13.1779i | 0.175589 | + | 0.605279i | ||||
\(475\) | 19.6984 | 0.903823 | ||||||||
\(476\) | −17.2693 | + | 6.79778i | −0.791535 | + | 0.311576i | ||||
\(477\) | 5.72409 | − | 1.88025i | 0.262088 | − | 0.0860910i | ||||
\(478\) | −11.6887 | + | 1.45280i | −0.534628 | + | 0.0664494i | ||||
\(479\) | 17.6827 | + | 30.6273i | 0.807943 | + | 1.39940i | 0.914286 | + | 0.405068i | \(0.132752\pi\) |
−0.106344 | + | 0.994329i | \(0.533914\pi\) | |||||||
\(480\) | 19.9224 | − | 19.5895i | 0.909329 | − | 0.894133i | ||||
\(481\) | 2.93154 | + | 1.69253i | 0.133667 | + | 0.0771726i | ||||
\(482\) | −6.14559 | − | 8.13034i | −0.279924 | − | 0.370327i | ||||
\(483\) | 16.2459 | + | 3.92776i | 0.739216 | + | 0.178719i | ||||
\(484\) | 6.84464 | − | 24.1402i | 0.311120 | − | 1.09728i | ||||
\(485\) | 15.8198 | − | 27.4008i | 0.718342 | − | 1.24421i | ||||
\(486\) | −20.3605 | + | 8.45273i | −0.923573 | + | 0.383424i | ||||
\(487\) | 16.4191 | + | 28.4386i | 0.744018 | + | 1.28868i | 0.950652 | + | 0.310259i | \(0.100416\pi\) |
−0.206634 | + | 0.978418i | \(0.566251\pi\) | |||||||
\(488\) | 6.95238 | + | 1.06945i | 0.314720 | + | 0.0484117i | ||||
\(489\) | 3.18008 | + | 19.8713i | 0.143808 | + | 0.898610i | ||||
\(490\) | −26.2259 | + | 10.4459i | −1.18476 | + | 0.471897i | ||||
\(491\) | 22.5295 | 1.01674 | 0.508371 | − | 0.861138i | \(-0.330248\pi\) | ||||
0.508371 | + | 0.861138i | \(0.330248\pi\) | |||||||
\(492\) | −5.84804 | − | 4.36500i | −0.263650 | − | 0.196789i | ||||
\(493\) | −6.84678 | − | 11.8590i | −0.308363 | − | 0.534101i | ||||
\(494\) | −22.5495 | − | 9.53222i | −1.01455 | − | 0.428875i | ||||
\(495\) | 40.6322 | + | 8.50009i | 1.82628 | + | 0.382051i | ||||
\(496\) | −2.08018 | + | 3.37336i | −0.0934027 | + | 0.151468i | ||||
\(497\) | 23.8075 | + | 9.95092i | 1.06791 | + | 0.446360i | ||||
\(498\) | −0.244086 | − | 0.234256i | −0.0109377 | − | 0.0104973i | ||||
\(499\) | −11.3117 | − | 6.53084i | −0.506383 | − | 0.292361i | 0.224962 | − | 0.974367i | \(-0.427774\pi\) |
−0.731346 | + | 0.682007i | \(0.761107\pi\) | |||||||
\(500\) | 2.60834 | + | 10.3308i | 0.116649 | + | 0.462007i | ||||
\(501\) | 8.46506 | + | 10.4192i | 0.378191 | + | 0.465494i | ||||
\(502\) | −11.8065 | + | 1.46744i | −0.526950 | + | 0.0654951i | ||||
\(503\) | 2.77607 | 0.123779 | 0.0618894 | − | 0.998083i | \(-0.480287\pi\) | ||||
0.0618894 | + | 0.998083i | \(0.480287\pi\) | |||||||
\(504\) | 5.14336 | − | 21.8528i | 0.229104 | − | 0.973402i | ||||
\(505\) | −20.2919 | −0.902978 | ||||||||
\(506\) | 24.8379 | − | 3.08712i | 1.10418 | − | 0.137239i | ||||
\(507\) | −5.92543 | − | 7.29328i | −0.263158 | − | 0.323906i | ||||
\(508\) | −30.3225 | + | 7.65590i | −1.34535 | + | 0.339676i | ||||
\(509\) | −27.2704 | − | 15.7446i | −1.20874 | − | 0.697866i | −0.246255 | − | 0.969205i | \(-0.579200\pi\) |
−0.962484 | + | 0.271339i | \(0.912534\pi\) | |||||||
\(510\) | −17.6755 | − | 16.9637i | −0.782684 | − | 0.751165i | ||||
\(511\) | 0.113221 | + | 0.881838i | 0.00500861 | + | 0.0390102i | ||||
\(512\) | −20.2965 | − | 10.0025i | −0.896989 | − | 0.442052i | ||||
\(513\) | −1.55295 | + | 32.6461i | −0.0685645 | + | 1.44136i | ||||
\(514\) | −39.4128 | − | 16.6608i | −1.73842 | − | 0.734875i | ||||
\(515\) | 2.47812 | + | 4.29223i | 0.109199 | + | 0.189138i | ||||
\(516\) | 10.6042 | − | 14.2070i | 0.466823 | − | 0.625429i | ||||
\(517\) | 54.4701 | 2.39559 | ||||||||
\(518\) | 3.21993 | + | 3.28794i | 0.141476 | + | 0.144464i | ||||
\(519\) | −0.278275 | − | 1.73885i | −0.0122149 | − | 0.0763270i | ||||
\(520\) | −3.37495 | + | 21.9402i | −0.148001 | + | 0.962142i | ||||
\(521\) | −2.92633 | − | 5.06856i | −0.128205 | − | 0.222058i | 0.794776 | − | 0.606903i | \(-0.207588\pi\) |
−0.922981 | + | 0.384845i | \(0.874255\pi\) | |||||||
\(522\) | 16.5080 | + | 1.36609i | 0.722536 | + | 0.0597922i | ||||
\(523\) | 9.81038 | − | 16.9921i | 0.428978 | − | 0.743012i | −0.567805 | − | 0.823163i | \(-0.692207\pi\) |
0.996783 | + | 0.0801516i | \(0.0255405\pi\) | |||||||
\(524\) | 19.4023 | + | 5.50125i | 0.847591 | + | 0.240323i | ||||
\(525\) | −10.3945 | − | 9.89558i | −0.453652 | − | 0.431879i | ||||
\(526\) | 20.5878 | + | 27.2367i | 0.897670 | + | 1.18758i | ||||
\(527\) | 3.00947 | + | 1.73752i | 0.131094 | + | 0.0756874i | ||||
\(528\) | −4.34866 | − | 33.3361i | −0.189251 | − | 1.45077i | ||||
\(529\) | −4.84862 | − | 8.39806i | −0.210810 | − | 0.365133i | ||||
\(530\) | −8.03738 | + | 0.998973i | −0.349121 | + | 0.0433926i | ||||
\(531\) | −0.963222 | − | 2.93235i | −0.0418003 | − | 0.127253i | ||||
\(532\) | −26.0424 | − | 20.7252i | −1.12908 | − | 0.898553i | ||||
\(533\) | 5.79779 | 0.251130 | ||||||||
\(534\) | 0.792997 | + | 2.73358i | 0.0343163 | + | 0.118293i | ||||
\(535\) | 2.62777 | − | 1.51715i | 0.113609 | − | 0.0655919i | ||||
\(536\) | 12.8071 | + | 10.2769i | 0.553183 | + | 0.443896i | ||||
\(537\) | −13.3639 | + | 34.9823i | −0.576696 | + | 1.50960i | ||||
\(538\) | −17.1418 | − | 22.6779i | −0.739036 | − | 0.977712i | ||||
\(539\) | −9.00148 | + | 32.7525i | −0.387721 | + | 1.41075i | ||||
\(540\) | 29.0455 | − | 5.88117i | 1.24992 | − | 0.253085i | ||||
\(541\) | 35.5120 | + | 20.5029i | 1.52678 | + | 0.881488i | 0.999494 | + | 0.0318007i | \(0.0101242\pi\) |
0.527287 | + | 0.849687i | \(0.323209\pi\) | |||||||
\(542\) | −1.00400 | + | 2.37506i | −0.0431254 | + | 0.102018i | ||||
\(543\) | −10.2343 | − | 12.5968i | −0.439194 | − | 0.540579i | ||||
\(544\) | −8.25130 | + | 18.0432i | −0.353772 | + | 0.773598i | ||||
\(545\) | −25.8771 | −1.10845 | ||||||||
\(546\) | 7.11038 | + | 16.3578i | 0.304296 | + | 0.700050i | ||||
\(547\) | − | 13.0813i | − | 0.559315i | −0.960100 | − | 0.279658i | \(-0.909779\pi\) | ||
0.960100 | − | 0.279658i | \(-0.0902209\pi\) | |||||||
\(548\) | 28.2766 | − | 27.4691i | 1.20792 | − | 1.17342i | ||||
\(549\) | 5.56053 | + | 4.97442i | 0.237317 | + | 0.212303i | ||||
\(550\) | −19.7953 | − | 8.36795i | −0.844073 | − | 0.356811i | ||||
\(551\) | 12.2787 | − | 21.2673i | 0.523088 | − | 0.906016i | ||||
\(552\) | 15.4197 | − | 9.02762i | 0.656308 | − | 0.384241i | ||||
\(553\) | −8.98443 | − | 11.7868i | −0.382057 | − | 0.501225i | ||||
\(554\) | 11.2326 | + | 14.8603i | 0.477229 | + | 0.631353i | ||||
\(555\) | −2.16791 | + | 5.67487i | −0.0920227 | + | 0.240885i | ||||
\(556\) | 0.216859 | − | 0.0547529i | 0.00919685 | − | 0.00232204i | ||||
\(557\) | −19.2814 | − | 33.3964i | −0.816980 | − | 1.41505i | −0.907898 | − | 0.419192i | \(-0.862313\pi\) |
0.0909180 | − | 0.995858i | \(-0.471020\pi\) | |||||||
\(558\) | −3.80134 | + | 1.79440i | −0.160924 | + | 0.0759630i | ||||
\(559\) | 14.0849i | 0.595730i | ||||||||
\(560\) | −12.4399 | + | 27.4956i | −0.525684 | + | 1.16190i | ||||
\(561\) | −29.1074 | + | 4.65817i | −1.22891 | + | 0.196668i | ||||
\(562\) | −21.5874 | + | 2.68312i | −0.910611 | + | 0.113181i | ||||
\(563\) | 9.75701 | − | 5.63321i | 0.411209 | − | 0.237411i | −0.280100 | − | 0.959971i | \(-0.590368\pi\) |
0.691309 | + | 0.722559i | \(0.257034\pi\) | |||||||
\(564\) | 35.7246 | − | 15.3575i | 1.50428 | − | 0.646669i | ||||
\(565\) | −23.9716 | + | 41.5200i | −1.00849 | + | 1.74676i | ||||
\(566\) | −10.4894 | + | 7.92875i | −0.440902 | + | 0.333270i | ||||
\(567\) | 17.2194 | − | 16.4466i | 0.723148 | − | 0.690693i | ||||
\(568\) | 25.7086 | − | 10.0001i | 1.07871 | − | 0.419595i | ||||
\(569\) | −26.7497 | − | 15.4440i | −1.12141 | − | 0.647445i | −0.179648 | − | 0.983731i | \(-0.557496\pi\) |
−0.941760 | + | 0.336286i | \(0.890829\pi\) | |||||||
\(570\) | 10.4969 | − | 42.6624i | 0.439667 | − | 1.78693i | ||||
\(571\) | 6.49082 | − | 3.74748i | 0.271633 | − | 0.156827i | −0.357997 | − | 0.933723i | \(-0.616540\pi\) |
0.629629 | + | 0.776896i | \(0.283207\pi\) | |||||||
\(572\) | 18.6111 | + | 19.1582i | 0.778168 | + | 0.801046i | ||||
\(573\) | −2.43564 | − | 15.2195i | −0.101750 | − | 0.635803i | ||||
\(574\) | 7.59184 | + | 2.11949i | 0.316877 | + | 0.0884659i | ||||
\(575\) | − | 11.4225i | − | 0.476350i | ||||||
\(576\) | −12.2510 | − | 20.6376i | −0.510459 | − | 0.859902i | ||||
\(577\) | 18.4495 | − | 10.6518i | 0.768064 | − | 0.443442i | −0.0641196 | − | 0.997942i | \(-0.520424\pi\) |
0.832184 | + | 0.554500i | \(0.187091\pi\) | |||||||
\(578\) | −6.12052 | − | 2.58730i | −0.254580 | − | 0.107617i | ||||
\(579\) | −9.21946 | + | 24.1335i | −0.383148 | + | 1.00295i | ||||
\(580\) | −21.4226 | − | 6.07409i | −0.889524 | − | 0.252213i | ||||
\(581\) | 0.337151 | + | 0.140921i | 0.0139874 | + | 0.00584637i | ||||
\(582\) | −19.6084 | − | 18.8188i | −0.812795 | − | 0.780064i | ||||
\(583\) | −4.87263 | + | 8.43964i | −0.201804 | + | 0.349534i | ||||
\(584\) | 0.741304 | + | 0.594852i | 0.0306754 | + | 0.0246152i | ||||
\(585\) | −15.6982 | + | 17.5478i | −0.649040 | + | 0.725513i | ||||
\(586\) | 25.0456 | − | 3.11294i | 1.03462 | − | 0.128594i | ||||
\(587\) | − | 15.2002i | − | 0.627381i | −0.949525 | − | 0.313691i | \(-0.898435\pi\) | ||
0.949525 | − | 0.313691i | \(-0.101565\pi\) | |||||||
\(588\) | 3.33068 | + | 24.0189i | 0.137355 | + | 0.990522i | ||||
\(589\) | 6.23194i | 0.256783i | ||||||||
\(590\) | 0.511756 | + | 4.11741i | 0.0210687 | + | 0.169511i | ||||
\(591\) | 2.99687 | + | 3.68868i | 0.123275 | + | 0.151732i | ||||
\(592\) | 4.91769 | + | 0.142514i | 0.202116 | + | 0.00585728i | ||||
\(593\) | 4.55071 | − | 7.88206i | 0.186875 | − | 0.323678i | −0.757332 | − | 0.653031i | \(-0.773497\pi\) |
0.944207 | + | 0.329353i | \(0.106831\pi\) | |||||||
\(594\) | 15.4288 | − | 32.1470i | 0.633052 | − | 1.31901i | ||||
\(595\) | 24.4148 | + | 10.2048i | 1.00091 | + | 0.418355i | ||||
\(596\) | 5.99943 | − | 21.1593i | 0.245746 | − | 0.866717i | ||||
\(597\) | −37.7075 | − | 14.4050i | −1.54326 | − | 0.589557i | ||||
\(598\) | −5.52745 | + | 13.0758i | −0.226034 | + | 0.534707i | ||||
\(599\) | 37.6136 | − | 21.7162i | 1.53685 | − | 0.887302i | 0.537831 | − | 0.843053i | \(-0.319244\pi\) |
0.999021 | − | 0.0442488i | \(-0.0140894\pi\) | |||||||
\(600\) | −15.3422 | + | 0.0929744i | −0.626342 | + | 0.00379566i | ||||
\(601\) | 15.5284i | 0.633415i | 0.948523 | + | 0.316708i | \(0.102577\pi\) | ||||
−0.948523 | + | 0.316708i | \(0.897423\pi\) | |||||||
\(602\) | −5.14902 | + | 18.4434i | −0.209858 | + | 0.751695i | ||||
\(603\) | 5.43533 | + | 16.5469i | 0.221344 | + | 0.673841i | ||||
\(604\) | −11.6148 | − | 11.9563i | −0.472601 | − | 0.486496i | ||||
\(605\) | −30.9831 | + | 17.8881i | −1.25964 | + | 0.727256i | ||||
\(606\) | −4.16446 | + | 16.9256i | −0.169170 | + | 0.687554i | ||||
\(607\) | 1.01612 | + | 0.586656i | 0.0412430 | + | 0.0238116i | 0.520480 | − | 0.853874i | \(-0.325753\pi\) |
−0.479237 | + | 0.877686i | \(0.659086\pi\) | |||||||
\(608\) | −35.4214 | + | 3.36394i | −1.43653 | + | 0.136426i | ||||
\(609\) | −17.1629 | + | 5.05409i | −0.695478 | + | 0.204802i | ||||
\(610\) | −6.04771 | − | 8.00086i | −0.244865 | − | 0.323945i | ||||
\(611\) | −15.4473 | + | 26.7555i | −0.624930 | + | 1.08241i | ||||
\(612\) | −17.7770 | + | 11.2618i | −0.718592 | + | 0.455230i | ||||
\(613\) | 35.7276 | − | 20.6273i | 1.44302 | − | 0.833131i | 0.444974 | − | 0.895543i | \(-0.353213\pi\) |
0.998050 | + | 0.0624126i | \(0.0198795\pi\) | |||||||
\(614\) | −3.08141 | − | 24.7919i | −0.124356 | − | 1.00052i | ||||
\(615\) | 1.64420 | + | 10.2741i | 0.0663006 | + | 0.414291i | ||||
\(616\) | 17.3664 | + | 31.8901i | 0.699711 | + | 1.28489i | ||||
\(617\) | 15.3232i | 0.616887i | 0.951243 | + | 0.308444i | \(0.0998081\pi\) | ||||
−0.951243 | + | 0.308444i | \(0.900192\pi\) | |||||||
\(618\) | 4.08874 | − | 1.18613i | 0.164473 | − | 0.0477130i | ||||
\(619\) | 7.95796 | + | 13.7836i | 0.319857 | + | 0.554009i | 0.980458 | − | 0.196728i | \(-0.0630316\pi\) |
−0.660601 | + | 0.750738i | \(0.729698\pi\) | |||||||
\(620\) | 5.47881 | − | 1.38330i | 0.220034 | − | 0.0555547i | ||||
\(621\) | 18.9305 | + | 0.900509i | 0.759655 | + | 0.0361362i | ||||
\(622\) | 9.36592 | − | 7.07954i | 0.375539 | − | 0.283864i | ||||
\(623\) | −1.86370 | − | 2.44502i | −0.0746677 | − | 0.0979575i | ||||
\(624\) | 17.6078 | + | 7.31780i | 0.704875 | + | 0.292946i | ||||
\(625\) | 15.4254 | − | 26.7176i | 0.617017 | − | 1.06871i | ||||
\(626\) | −14.6848 | + | 34.7384i | −0.586922 | + | 1.38842i | ||||
\(627\) | −33.3344 | − | 41.0294i | −1.33125 | − | 1.63856i | ||||
\(628\) | 15.1119 | + | 15.5562i | 0.603031 | + | 0.620760i | ||||
\(629\) | − | 4.31380i | − | 0.172002i | ||||||
\(630\) | −26.9707 | + | 17.2390i | −1.07454 | + | 0.686818i | ||||
\(631\) | −27.9268 | −1.11175 | −0.555875 | − | 0.831266i | \(-0.687617\pi\) | ||||
−0.555875 | + | 0.831266i | \(0.687617\pi\) | |||||||
\(632\) | −15.6596 | − | 2.40884i | −0.622907 | − | 0.0958186i | ||||
\(633\) | 27.4128 | − | 22.2715i | 1.08956 | − | 0.885215i | ||||
\(634\) | 37.5405 | + | 15.8693i | 1.49092 | + | 0.630251i | ||||
\(635\) | 38.6170 | + | 22.2955i | 1.53247 | + | 0.884770i | ||||
\(636\) | −0.816245 | + | 6.90902i | −0.0323662 | + | 0.273960i | ||||
\(637\) | −13.5351 | − | 13.7098i | −0.536281 | − | 0.543203i | ||||
\(638\) | −21.3735 | + | 16.1559i | −0.846184 | + | 0.639616i | ||||
\(639\) | 28.6384 | + | 5.99103i | 1.13292 | + | 0.237001i | ||||
\(640\) | 10.8199 | + | 30.3940i | 0.427693 | + | 1.20143i | ||||
\(641\) | −7.03036 | + | 4.05898i | −0.277683 | + | 0.160320i | −0.632374 | − | 0.774663i | \(-0.717919\pi\) |
0.354691 | + | 0.934984i | \(0.384586\pi\) | |||||||
\(642\) | −0.726164 | − | 2.50319i | −0.0286594 | − | 0.0987932i | ||||
\(643\) | −21.5611 | −0.850285 | −0.425143 | − | 0.905126i | \(-0.639776\pi\) | ||||
−0.425143 | + | 0.905126i | \(0.639776\pi\) | |||||||
\(644\) | −12.0179 | + | 15.1012i | −0.473573 | + | 0.595071i | ||||
\(645\) | −24.9595 | + | 3.99436i | −0.982778 | + | 0.157278i | ||||
\(646\) | 3.84806 | + | 30.9601i | 0.151400 | + | 1.21811i | ||||
\(647\) | −19.5173 | − | 33.8049i | −0.767304 | − | 1.32901i | −0.939020 | − | 0.343863i | \(-0.888264\pi\) |
0.171716 | − | 0.985147i | \(-0.445069\pi\) | |||||||
\(648\) | 1.05544 | − | 25.4340i | 0.0414615 | − | 0.999140i | ||||
\(649\) | 4.32348 | + | 2.49616i | 0.169712 | + | 0.0979830i | ||||
\(650\) | 9.72408 | − | 7.35027i | 0.381410 | − | 0.288301i | ||||
\(651\) | 3.13065 | − | 3.28848i | 0.122700 | − | 0.128886i | ||||
\(652\) | −22.3561 | − | 6.33877i | −0.875531 | − | 0.248245i | ||||
\(653\) | −8.53952 | + | 14.7909i | −0.334177 | + | 0.578812i | −0.983326 | − | 0.181849i | \(-0.941792\pi\) |
0.649149 | + | 0.760661i | \(0.275125\pi\) | |||||||
\(654\) | −5.31069 | + | 21.5841i | −0.207664 | + | 0.844007i | ||||
\(655\) | −14.3772 | − | 24.9021i | −0.561765 | − | 0.973006i | ||||
\(656\) | 7.41644 | − | 4.00003i | 0.289563 | − | 0.156175i | ||||
\(657\) | 0.314609 | + | 0.957770i | 0.0122741 | + | 0.0373662i | ||||
\(658\) | −30.0082 | + | 29.3876i | −1.16984 | + | 1.14565i | ||||
\(659\) | −6.99022 | −0.272300 | −0.136150 | − | 0.990688i | \(-0.543473\pi\) | ||||
−0.136150 | + | 0.990688i | \(0.543473\pi\) | |||||||
\(660\) | −28.6717 | + | 38.4132i | −1.11605 | + | 1.49523i | ||||
\(661\) | −23.0740 | − | 39.9653i | −0.897474 | − | 1.55447i | −0.830712 | − | 0.556702i | \(-0.812067\pi\) |
−0.0667617 | − | 0.997769i | \(-0.521267\pi\) | |||||||
\(662\) | 1.42753 | − | 3.37696i | 0.0554823 | − | 0.131249i | ||||
\(663\) | 5.96655 | − | 15.6184i | 0.231722 | − | 0.606570i | ||||
\(664\) | 0.364074 | − | 0.141617i | 0.0141288 | − | 0.00549582i | ||||
\(665\) | 6.04325 | + | 47.0686i | 0.234347 | + | 1.82524i | ||||
\(666\) | 4.28852 | + | 2.97290i | 0.166177 | + | 0.115198i | ||||
\(667\) | −12.3322 | − | 7.12002i | −0.477506 | − | 0.275688i | ||||
\(668\) | −15.0296 | + | 3.79470i | −0.581512 | + | 0.146821i | ||||
\(669\) | −15.4145 | + | 12.5236i | −0.595961 | + | 0.484189i | ||||
\(670\) | −2.88777 | − | 23.2340i | −0.111564 | − | 0.897607i | ||||
\(671\) | −12.0677 | −0.465869 | ||||||||
\(672\) | 20.3811 | + | 16.0191i | 0.786219 | + | 0.617948i | ||||
\(673\) | 8.04494 | 0.310110 | 0.155055 | − | 0.987906i | \(-0.450445\pi\) | ||||
0.155055 | + | 0.987906i | \(0.450445\pi\) | |||||||
\(674\) | −1.94863 | − | 15.6780i | −0.0750586 | − | 0.603894i | ||||
\(675\) | −13.6904 | − | 8.79702i | −0.526945 | − | 0.338597i | ||||
\(676\) | 10.5205 | − | 2.65624i | 0.404635 | − | 0.102163i | ||||
\(677\) | −8.53140 | − | 4.92561i | −0.327888 | − | 0.189306i | 0.327015 | − | 0.945019i | \(-0.393957\pi\) |
−0.654903 | + | 0.755713i | \(0.727291\pi\) | |||||||
\(678\) | 29.7123 | + | 28.5158i | 1.14110 | + | 1.09514i | ||||
\(679\) | 27.0847 | + | 11.3207i | 1.03942 | + | 0.434450i | ||||
\(680\) | 26.3644 | − | 10.2552i | 1.01103 | − | 0.393270i | ||||
\(681\) | 34.3208 | + | 13.1112i | 1.31518 | + | 0.502422i | ||||
\(682\) | 2.64736 | − | 6.26260i | 0.101372 | − | 0.239807i | ||||
\(683\) | −20.1018 | − | 34.8173i | −0.769173 | − | 1.33225i | −0.938012 | − | 0.346603i | \(-0.887335\pi\) |
0.168839 | − | 0.985644i | \(-0.445998\pi\) | |||||||
\(684\) | −33.4306 | − | 17.5110i | −1.27825 | − | 0.669550i | ||||
\(685\) | −56.2088 | −2.14763 | ||||||||
\(686\) | −12.7115 | − | 22.9002i | −0.485327 | − | 0.874332i | ||||
\(687\) | 3.88117 | − | 0.621119i | 0.148076 | − | 0.0236972i | ||||
\(688\) | 9.71753 | + | 18.0172i | 0.370477 | + | 0.686900i | ||||
\(689\) | −2.76368 | − | 4.78683i | −0.105288 | − | 0.182364i | ||||
\(690\) | −24.7386 | − | 6.08684i | −0.941784 | − | 0.231722i | ||||
\(691\) | −17.2791 | + | 29.9282i | −0.657326 | + | 1.13852i | 0.323979 | + | 0.946064i | \(0.394979\pi\) |
−0.981305 | + | 0.192458i | \(0.938354\pi\) | |||||||
\(692\) | 1.95628 | + | 0.554678i | 0.0743667 | + | 0.0210857i | ||||
\(693\) | −3.02139 | + | 38.3961i | −0.114773 | + | 1.45855i | ||||
\(694\) | 16.3280 | − | 12.3420i | 0.619801 | − | 0.468497i | ||||
\(695\) | −0.276178 | − | 0.159451i | −0.0104760 | − | 0.00604834i | ||||
\(696\) | −9.46292 | + | 16.6221i | −0.358691 | + | 0.630058i | ||||
\(697\) | −3.69426 | − | 6.39864i | −0.139930 | − | 0.242366i | ||||
\(698\) | −3.97735 | − | 32.0003i | −0.150545 | − | 1.21123i | ||||
\(699\) | 7.13078 | + | 44.5579i | 0.269711 | + | 1.68533i | ||||
\(700\) | 15.4201 | − | 6.06989i | 0.582825 | − | 0.229420i | ||||
\(701\) | 29.6534 | 1.11999 | 0.559997 | − | 0.828495i | \(-0.310802\pi\) | ||||
0.559997 | + | 0.828495i | \(0.310802\pi\) | |||||||
\(702\) | 11.4150 | + | 16.6952i | 0.430831 | + | 0.630120i | ||||
\(703\) | 6.69969 | − | 3.86807i | 0.252684 | − | 0.145887i | ||||
\(704\) | 37.0247 | + | 11.6667i | 1.39542 | + | 0.439705i | ||||
\(705\) | −51.7932 | − | 19.7860i | −1.95064 | − | 0.745184i | ||||
\(706\) | −4.64945 | + | 3.51444i | −0.174984 | + | 0.132268i | ||||
\(707\) | −2.39755 | − | 18.6736i | −0.0901692 | − | 0.702295i | ||||
\(708\) | 3.53937 | + | 0.418148i | 0.133018 | + | 0.0157150i | ||||
\(709\) | 9.81381 | + | 5.66601i | 0.368565 | + | 0.212791i | 0.672832 | − | 0.739796i | \(-0.265078\pi\) |
−0.304266 | + | 0.952587i | \(0.598411\pi\) | |||||||
\(710\) | −36.2272 | − | 15.3141i | −1.35958 | − | 0.574729i | ||||
\(711\) | −12.5246 | − | 11.2044i | −0.469709 | − | 0.420199i | ||||
\(712\) | −3.24839 | − | 0.499683i | −0.121738 | − | 0.0187264i | ||||
\(713\) | 3.61371 | 0.135335 | ||||||||
\(714\) | 13.5224 | − | 18.2702i | 0.506065 | − | 0.683745i | ||||
\(715\) | − | 38.0831i | − | 1.42423i | ||||||
\(716\) | −30.1301 | − | 31.0159i | −1.12601 | − | 1.15912i | ||||
\(717\) | 11.1963 | − | 9.09648i | 0.418135 | − | 0.339714i | ||||
\(718\) | 6.25524 | − | 14.7974i | 0.233443 | − | 0.552235i | ||||
\(719\) | 8.51080 | − | 14.7411i | 0.317399 | − | 0.549752i | −0.662545 | − | 0.749022i | \(-0.730524\pi\) |
0.979945 | + | 0.199270i | \(0.0638572\pi\) | |||||||
\(720\) | −7.97421 | + | 33.2774i | −0.297181 | + | 1.24018i | ||||
\(721\) | −3.65713 | + | 2.78763i | −0.136199 | + | 0.103817i | ||||
\(722\) | −23.1979 | + | 17.5349i | −0.863335 | + | 0.652580i | ||||
\(723\) | 11.6604 | + | 4.45448i | 0.433653 | + | 0.165664i | ||||
\(724\) | 18.1708 | − | 4.58779i | 0.675311 | − | 0.170504i | ||||
\(725\) | 6.11364 | + | 10.5891i | 0.227055 | + | 0.393271i | ||||
\(726\) | 8.56195 | + | 29.5143i | 0.317764 | + | 1.09538i | ||||
\(727\) | − | 42.1153i | − | 1.56197i | −0.624550 | − | 0.780985i | \(-0.714718\pi\) | ||
0.624550 | − | 0.780985i | \(-0.285282\pi\) | |||||||
\(728\) | −20.5893 | − | 0.513497i | −0.763089 | − | 0.0190315i | ||||
\(729\) | 15.6586 | − | 21.9956i | 0.579949 | − | 0.814653i | ||||
\(730\) | −0.167151 | − | 1.34483i | −0.00618653 | − | 0.0497746i | ||||
\(731\) | 15.5446 | − | 8.97469i | 0.574939 | − | 0.331941i | ||||
\(732\) | −7.91470 | + | 3.40242i | −0.292536 | + | 0.125757i | ||||
\(733\) | 20.3500 | − | 35.2472i | 0.751644 | − | 1.30189i | −0.195382 | − | 0.980727i | \(-0.562595\pi\) |
0.947026 | − | 0.321158i | \(-0.104072\pi\) | |||||||
\(734\) | −23.8815 | − | 31.5941i | −0.881481 | − | 1.16616i | ||||
\(735\) | 20.4563 | − | 27.8731i | 0.754541 | − | 1.02812i | ||||
\(736\) | 1.95064 | + | 20.5398i | 0.0719017 | + | 0.757107i | ||||
\(737\) | −24.3968 | − | 14.0855i | −0.898669 | − | 0.518847i | ||||
\(738\) | 8.90707 | + | 0.737089i | 0.327874 | + | 0.0271326i | ||||
\(739\) | −7.63741 | + | 4.40946i | −0.280947 | + | 0.162205i | −0.633852 | − | 0.773454i | \(-0.718527\pi\) |
0.352905 | + | 0.935659i | \(0.385194\pi\) | |||||||
\(740\) | −4.88774 | − | 5.03144i | −0.179677 | − | 0.184959i | ||||
\(741\) | 29.6068 | − | 4.73810i | 1.08763 | − | 0.174058i | ||||
\(742\) | −1.86895 | − | 7.27837i | −0.0686112 | − | 0.267197i | ||||
\(743\) | 16.3412i | 0.599502i | 0.954017 | + | 0.299751i | \(0.0969036\pi\) | ||||
−0.954017 | + | 0.299751i | \(0.903096\pi\) | |||||||
\(744\) | −0.0294142 | − | 4.85378i | −0.00107838 | − | 0.177948i | ||||
\(745\) | −27.1572 | + | 15.6792i | −0.994962 | + | 0.574441i | ||||
\(746\) | −17.2483 | + | 40.8028i | −0.631507 | + | 1.49390i | ||||
\(747\) | 0.405564 | + | 0.0848424i | 0.0148388 | + | 0.00310422i | ||||
\(748\) | 9.28501 | − | 32.7471i | 0.339494 | − | 1.19735i | ||||
\(749\) | 1.70663 | + | 2.23895i | 0.0623590 | + | 0.0818096i | ||||
\(750\) | −9.41512 | − | 9.03598i | −0.343792 | − | 0.329947i | ||||
\(751\) | 6.17492 | − | 10.6953i | 0.225326 | − | 0.390276i | −0.731091 | − | 0.682280i | \(-0.760989\pi\) |
0.956417 | + | 0.292004i | \(0.0943219\pi\) | |||||||
\(752\) | −1.30069 | + | 44.8826i | −0.0474313 | + | 1.63670i | ||||
\(753\) | 11.3092 | − | 9.18817i | 0.412130 | − | 0.334836i | ||||
\(754\) | −1.87434 | − | 15.0802i | −0.0682593 | − | 0.549190i | ||||
\(755\) | 23.7670i | 0.864969i | ||||||||
\(756\) | 8.84397 | + | 26.0343i | 0.321652 | + | 0.946858i | ||||
\(757\) | 29.0246i | 1.05492i | 0.849581 | + | 0.527459i | \(0.176855\pi\) | ||||
−0.849581 | + | 0.527459i | \(0.823145\pi\) | |||||||
\(758\) | 40.4363 | − | 5.02586i | 1.46871 | − | 0.182548i | ||||
\(759\) | −23.7917 | + | 19.3296i | −0.863583 | + | 0.701620i | ||||
\(760\) | 39.5675 | + | 31.7506i | 1.43527 | + | 1.15171i | ||||
\(761\) | −15.5050 | + | 26.8554i | −0.562055 | + | 0.973507i | 0.435262 | + | 0.900304i | \(0.356656\pi\) |
−0.997317 | + | 0.0732037i | \(0.976678\pi\) | |||||||
\(762\) | 26.5220 | − | 27.6349i | 0.960792 | − | 1.00111i | ||||
\(763\) | −3.05745 | − | 23.8134i | −0.110687 | − | 0.862102i | ||||
\(764\) | 17.1226 | + | 4.85489i | 0.619474 | + | 0.175644i | ||||
\(765\) | 29.3690 | + | 6.14387i | 1.06184 | + | 0.222132i | ||||
\(766\) | 33.0084 | + | 13.9535i | 1.19264 | + | 0.504160i | ||||
\(767\) | −2.45221 | + | 1.41578i | −0.0885442 | + | 0.0511210i | ||||
\(768\) | 27.5723 | − | 2.78721i | 0.994930 | − | 0.100575i | ||||
\(769\) | − | 42.3916i | − | 1.52868i | −0.644813 | − | 0.764340i | \(-0.723065\pi\) | ||
0.644813 | − | 0.764340i | \(-0.276935\pi\) |