Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [966,2,Mod(97,966)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(966, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 11, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("966.97");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 966.s (of order \(22\), degree \(10\), 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: | \(7.71354883526\) |
Analytic rank: | \(0\) |
Dimension: | \(160\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 97.3 | ||
Character | \(\chi\) | \(=\) | 966.97 |
Dual form | 966.2.s.b.727.3 |
$q$-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 \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(829\) | \(925\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{1}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.959493 | + | 0.281733i | 0.678464 | + | 0.199215i | ||||
\(3\) | −0.755750 | − | 0.654861i | −0.436332 | − | 0.378084i | ||||
\(4\) | 0.841254 | + | 0.540641i | 0.420627 | + | 0.270320i | ||||
\(5\) | −0.141036 | + | 0.980930i | −0.0630734 | + | 0.438685i | 0.933676 | + | 0.358119i | \(0.116582\pi\) |
−0.996749 | + | 0.0805660i | \(0.974327\pi\) | |||||||
\(6\) | −0.540641 | − | 0.841254i | −0.220716 | − | 0.343440i | ||||
\(7\) | −0.385560 | − | 2.61751i | −0.145728 | − | 0.989325i | ||||
\(8\) | 0.654861 | + | 0.755750i | 0.231528 | + | 0.267198i | ||||
\(9\) | 0.142315 | + | 0.989821i | 0.0474383 | + | 0.329940i | ||||
\(10\) | −0.411683 | + | 0.901461i | −0.130186 | + | 0.285067i | ||||
\(11\) | 1.43187 | + | 4.87648i | 0.431724 | + | 1.47032i | 0.832441 | + | 0.554114i | \(0.186943\pi\) |
−0.400717 | + | 0.916202i | \(0.631239\pi\) | |||||||
\(12\) | −0.281733 | − | 0.959493i | −0.0813292 | − | 0.276982i | ||||
\(13\) | 0.531256 | + | 0.242617i | 0.147344 | + | 0.0672897i | 0.487722 | − | 0.872999i | \(-0.337828\pi\) |
−0.340378 | + | 0.940289i | \(0.610555\pi\) | |||||||
\(14\) | 0.367494 | − | 2.62010i | 0.0982170 | − | 0.700252i | ||||
\(15\) | 0.748961 | − | 0.648978i | 0.193381 | − | 0.167565i | ||||
\(16\) | 0.415415 | + | 0.909632i | 0.103854 | + | 0.227408i | ||||
\(17\) | −1.18800 | + | 0.763482i | −0.288133 | + | 0.185172i | −0.676720 | − | 0.736240i | \(-0.736599\pi\) |
0.388588 | + | 0.921412i | \(0.372963\pi\) | |||||||
\(18\) | −0.142315 | + | 0.989821i | −0.0335439 | + | 0.233303i | ||||
\(19\) | 6.13357 | + | 3.94181i | 1.40714 | + | 0.904313i | 0.999959 | − | 0.00903518i | \(-0.00287603\pi\) |
0.407179 | + | 0.913348i | \(0.366512\pi\) | |||||||
\(20\) | −0.648978 | + | 0.748961i | −0.145116 | + | 0.167473i | ||||
\(21\) | −1.42272 | + | 2.23067i | −0.310462 | + | 0.486772i | ||||
\(22\) | 5.08236i | 1.08356i | ||||||||
\(23\) | −0.611708 | − | 4.75666i | −0.127550 | − | 0.991832i | ||||
\(24\) | − | 1.00000i | − | 0.204124i | ||||||
\(25\) | 3.85513 | + | 1.13197i | 0.771027 | + | 0.226394i | ||||
\(26\) | 0.441383 | + | 0.382461i | 0.0865624 | + | 0.0750068i | ||||
\(27\) | 0.540641 | − | 0.841254i | 0.104046 | − | 0.161899i | ||||
\(28\) | 1.09078 | − | 2.41044i | 0.206137 | − | 0.455530i | ||||
\(29\) | −1.77193 | + | 1.13875i | −0.329040 | + | 0.211461i | −0.694721 | − | 0.719279i | \(-0.744472\pi\) |
0.365681 | + | 0.930740i | \(0.380836\pi\) | |||||||
\(30\) | 0.901461 | − | 0.411683i | 0.164583 | − | 0.0751627i | ||||
\(31\) | 4.87069 | − | 4.22047i | 0.874801 | − | 0.758020i | −0.0966350 | − | 0.995320i | \(-0.530808\pi\) |
0.971436 | + | 0.237300i | \(0.0762625\pi\) | |||||||
\(32\) | 0.142315 | + | 0.989821i | 0.0251579 | + | 0.174977i | ||||
\(33\) | 2.11129 | − | 4.62307i | 0.367528 | − | 0.804774i | ||||
\(34\) | −1.35498 | + | 0.397857i | −0.232377 | + | 0.0682319i | ||||
\(35\) | 2.62197 | − | 0.00904396i | 0.443194 | − | 0.00152871i | ||||
\(36\) | −0.415415 | + | 0.909632i | −0.0692358 | + | 0.151605i | ||||
\(37\) | 7.17448 | − | 1.03153i | 1.17948 | − | 0.169583i | 0.475441 | − | 0.879748i | \(-0.342289\pi\) |
0.704036 | + | 0.710164i | \(0.251379\pi\) | |||||||
\(38\) | 4.77459 | + | 5.51017i | 0.774540 | + | 0.893867i | ||||
\(39\) | −0.242617 | − | 0.531256i | −0.0388497 | − | 0.0850691i | ||||
\(40\) | −0.833696 | + | 0.535784i | −0.131819 | + | 0.0847149i | ||||
\(41\) | −4.32573 | − | 0.621947i | −0.675566 | − | 0.0971317i | −0.204011 | − | 0.978969i | \(-0.565398\pi\) |
−0.471555 | + | 0.881837i | \(0.656307\pi\) | |||||||
\(42\) | −1.99354 | + | 1.73949i | −0.307609 | + | 0.268408i | ||||
\(43\) | 5.68980 | + | 4.93024i | 0.867687 | + | 0.751855i | 0.970053 | − | 0.242892i | \(-0.0780960\pi\) |
−0.102367 | + | 0.994747i | \(0.532641\pi\) | |||||||
\(44\) | −1.43187 | + | 4.87648i | −0.215862 | + | 0.735158i | ||||
\(45\) | −0.991017 | −0.147732 | ||||||||
\(46\) | 0.753176 | − | 4.73632i | 0.111050 | − | 0.698332i | ||||
\(47\) | 10.2475i | 1.49475i | 0.664405 | + | 0.747373i | \(0.268685\pi\) | ||||
−0.664405 | + | 0.747373i | \(0.731315\pi\) | |||||||
\(48\) | 0.281733 | − | 0.959493i | 0.0406646 | − | 0.138491i | ||||
\(49\) | −6.70269 | + | 2.01841i | −0.957527 | + | 0.288345i | ||||
\(50\) | 3.38006 | + | 2.17223i | 0.478013 | + | 0.307200i | ||||
\(51\) | 1.39781 | + | 0.200974i | 0.195732 | + | 0.0281420i | ||||
\(52\) | 0.315753 | + | 0.491321i | 0.0437870 | + | 0.0681339i | ||||
\(53\) | 4.84510 | − | 2.21268i | 0.665525 | − | 0.303935i | −0.0538581 | − | 0.998549i | \(-0.517152\pi\) |
0.719383 | + | 0.694614i | \(0.244425\pi\) | |||||||
\(54\) | 0.755750 | − | 0.654861i | 0.102844 | − | 0.0891153i | ||||
\(55\) | −4.98543 | + | 0.716797i | −0.672236 | + | 0.0966529i | ||||
\(56\) | 1.72569 | − | 2.00549i | 0.230605 | − | 0.267995i | ||||
\(57\) | −2.05411 | − | 6.99566i | −0.272074 | − | 0.926598i | ||||
\(58\) | −2.02098 | + | 0.593414i | −0.265368 | + | 0.0779191i | ||||
\(59\) | 4.61316 | + | 2.10676i | 0.600583 | + | 0.274277i | 0.692417 | − | 0.721497i | \(-0.256546\pi\) |
−0.0918344 | + | 0.995774i | \(0.529273\pi\) | |||||||
\(60\) | 0.980930 | − | 0.141036i | 0.126637 | − | 0.0182077i | ||||
\(61\) | −5.18712 | − | 5.98626i | −0.664143 | − | 0.766462i | 0.319305 | − | 0.947652i | \(-0.396550\pi\) |
−0.983448 | + | 0.181190i | \(0.942005\pi\) | |||||||
\(62\) | 5.86244 | − | 2.67728i | 0.744530 | − | 0.340016i | ||||
\(63\) | 2.53599 | − | 0.754146i | 0.319505 | − | 0.0950135i | ||||
\(64\) | −0.142315 | + | 0.989821i | −0.0177894 | + | 0.123728i | ||||
\(65\) | −0.312916 | + | 0.486907i | −0.0388125 | + | 0.0603934i | ||||
\(66\) | 3.32824 | − | 3.84099i | 0.409677 | − | 0.472793i | ||||
\(67\) | −0.464082 | + | 1.58052i | −0.0566967 | + | 0.193091i | −0.982972 | − | 0.183757i | \(-0.941174\pi\) |
0.926275 | + | 0.376848i | \(0.122992\pi\) | |||||||
\(68\) | −1.41218 | −0.171252 | ||||||||
\(69\) | −2.65265 | + | 3.99543i | −0.319342 | + | 0.480993i | ||||
\(70\) | 2.51831 | + | 0.730016i | 0.300995 | + | 0.0872536i | ||||
\(71\) | −5.59116 | − | 1.64171i | −0.663548 | − | 0.194835i | −0.0674203 | − | 0.997725i | \(-0.521477\pi\) |
−0.596128 | + | 0.802889i | \(0.703295\pi\) | |||||||
\(72\) | −0.654861 | + | 0.755750i | −0.0771761 | + | 0.0890659i | ||||
\(73\) | −0.459050 | + | 0.714296i | −0.0537278 | + | 0.0836021i | −0.867078 | − | 0.498172i | \(-0.834005\pi\) |
0.813350 | + | 0.581774i | \(0.197641\pi\) | |||||||
\(74\) | 7.17448 | + | 1.03153i | 0.834016 | + | 0.119913i | ||||
\(75\) | −2.17223 | − | 3.38006i | −0.250828 | − | 0.390296i | ||||
\(76\) | 3.02879 | + | 6.63212i | 0.347426 | + | 0.760757i | ||||
\(77\) | 12.2122 | − | 5.62810i | 1.39171 | − | 0.641381i | ||||
\(78\) | −0.0831167 | − | 0.578089i | −0.00941111 | − | 0.0654557i | ||||
\(79\) | −15.2931 | − | 6.98414i | −1.72061 | − | 0.785777i | −0.995244 | − | 0.0974157i | \(-0.968942\pi\) |
−0.725368 | − | 0.688361i | \(-0.758330\pi\) | |||||||
\(80\) | −0.950874 | + | 0.279202i | −0.106311 | + | 0.0312157i | ||||
\(81\) | −0.959493 | + | 0.281733i | −0.106610 | + | 0.0313036i | ||||
\(82\) | −3.97529 | − | 1.81545i | −0.438997 | − | 0.200483i | ||||
\(83\) | 2.41809 | + | 16.8182i | 0.265420 | + | 1.84604i | 0.490177 | + | 0.871623i | \(0.336932\pi\) |
−0.224757 | + | 0.974415i | \(0.572159\pi\) | |||||||
\(84\) | −2.40285 | + | 1.10738i | −0.262173 | + | 0.120825i | ||||
\(85\) | −0.581371 | − | 1.27302i | −0.0630585 | − | 0.138079i | ||||
\(86\) | 4.07032 | + | 6.33353i | 0.438913 | + | 0.682963i | ||||
\(87\) | 2.08486 | + | 0.299758i | 0.223521 | + | 0.0321374i | ||||
\(88\) | −2.74773 | + | 4.27555i | −0.292909 | + | 0.455775i | ||||
\(89\) | 0.615761 | − | 0.710626i | 0.0652705 | − | 0.0753262i | −0.722175 | − | 0.691710i | \(-0.756858\pi\) |
0.787446 | + | 0.616384i | \(0.211403\pi\) | |||||||
\(90\) | −0.950874 | − | 0.279202i | −0.100231 | − | 0.0294304i | ||||
\(91\) | 0.430219 | − | 1.48411i | 0.0450992 | − | 0.155577i | ||||
\(92\) | 2.05704 | − | 4.33227i | 0.214462 | − | 0.451670i | ||||
\(93\) | −6.44484 | −0.668299 | ||||||||
\(94\) | −2.88704 | + | 9.83236i | −0.297776 | + | 1.01413i | ||||
\(95\) | −4.73170 | + | 5.46067i | −0.485462 | + | 0.560253i | ||||
\(96\) | 0.540641 | − | 0.841254i | 0.0551789 | − | 0.0858601i | ||||
\(97\) | 0.217190 | − | 1.51059i | 0.0220523 | − | 0.153377i | −0.975820 | − | 0.218576i | \(-0.929859\pi\) |
0.997872 | + | 0.0651984i | \(0.0207680\pi\) | |||||||
\(98\) | −6.99983 | + | 0.0482896i | −0.707090 | + | 0.00487799i | ||||
\(99\) | −4.62307 | + | 2.11129i | −0.464636 | + | 0.212192i | ||||
\(100\) | 2.63116 | + | 3.03652i | 0.263116 | + | 0.303652i | ||||
\(101\) | −12.3625 | + | 1.77746i | −1.23012 | + | 0.176864i | −0.726564 | − | 0.687099i | \(-0.758884\pi\) |
−0.503554 | + | 0.863964i | \(0.667975\pi\) | |||||||
\(102\) | 1.28456 | + | 0.586641i | 0.127191 | + | 0.0580861i | ||||
\(103\) | 7.36092 | − | 2.16136i | 0.725293 | − | 0.212965i | 0.101812 | − | 0.994804i | \(-0.467536\pi\) |
0.623481 | + | 0.781838i | \(0.285718\pi\) | |||||||
\(104\) | 0.164541 | + | 0.560377i | 0.0161346 | + | 0.0549494i | ||||
\(105\) | −1.98747 | − | 1.71019i | −0.193958 | − | 0.166897i | ||||
\(106\) | 5.27222 | − | 0.758031i | 0.512083 | − | 0.0736264i | ||||
\(107\) | 11.4858 | − | 9.95253i | 1.11038 | − | 0.962147i | 0.110879 | − | 0.993834i | \(-0.464633\pi\) |
0.999498 | + | 0.0316870i | \(0.0100880\pi\) | |||||||
\(108\) | 0.909632 | − | 0.415415i | 0.0875294 | − | 0.0399733i | ||||
\(109\) | −8.91074 | − | 13.8654i | −0.853494 | − | 1.32806i | −0.943245 | − | 0.332099i | \(-0.892243\pi\) |
0.0897504 | − | 0.995964i | \(-0.471393\pi\) | |||||||
\(110\) | −4.98543 | − | 0.716797i | −0.475342 | − | 0.0683439i | ||||
\(111\) | −6.09762 | − | 3.91870i | −0.578760 | − | 0.371947i | ||||
\(112\) | 2.22080 | − | 1.43807i | 0.209846 | − | 0.135885i | ||||
\(113\) | −0.915535 | + | 3.11803i | −0.0861263 | + | 0.293319i | −0.991281 | − | 0.131762i | \(-0.957936\pi\) |
0.905155 | + | 0.425082i | \(0.139755\pi\) | |||||||
\(114\) | − | 7.29099i | − | 0.682864i | ||||||
\(115\) | 4.75222 | + | 0.0708197i | 0.443147 | + | 0.00660397i | ||||
\(116\) | −2.10630 | −0.195565 | ||||||||
\(117\) | −0.164541 | + | 0.560377i | −0.0152119 | + | 0.0518068i | ||||
\(118\) | 3.83276 | + | 3.32110i | 0.352834 | + | 0.305732i | ||||
\(119\) | 2.45647 | + | 2.81523i | 0.225184 | + | 0.258072i | ||||
\(120\) | 0.980930 | + | 0.141036i | 0.0895462 | + | 0.0128748i | ||||
\(121\) | −12.4761 | + | 8.01789i | −1.13419 | + | 0.728899i | ||||
\(122\) | −3.29048 | − | 7.20515i | −0.297906 | − | 0.652324i | ||||
\(123\) | 2.86188 | + | 3.30279i | 0.258047 | + | 0.297802i | ||||
\(124\) | 6.37924 | − | 0.917197i | 0.572873 | − | 0.0823667i | ||||
\(125\) | −3.71251 | + | 8.12927i | −0.332057 | + | 0.727104i | ||||
\(126\) | 2.64574 | − | 0.00912594i | 0.235701 | − | 0.000813003i | ||||
\(127\) | −1.15993 | + | 0.340585i | −0.102927 | + | 0.0302220i | −0.332790 | − | 0.943001i | \(-0.607990\pi\) |
0.229864 | + | 0.973223i | \(0.426172\pi\) | |||||||
\(128\) | −0.415415 | + | 0.909632i | −0.0367178 | + | 0.0804009i | ||||
\(129\) | −1.07144 | − | 7.45206i | −0.0943354 | − | 0.656117i | ||||
\(130\) | −0.437419 | + | 0.379025i | −0.0383641 | + | 0.0332427i | ||||
\(131\) | 1.70592 | − | 0.779067i | 0.149047 | − | 0.0680674i | −0.339495 | − | 0.940608i | \(-0.610256\pi\) |
0.488542 | + | 0.872540i | \(0.337529\pi\) | |||||||
\(132\) | 4.27555 | − | 2.74773i | 0.372139 | − | 0.239159i | ||||
\(133\) | 7.95285 | − | 17.5745i | 0.689599 | − | 1.52390i | ||||
\(134\) | −0.890568 | + | 1.38575i | −0.0769333 | + | 0.119711i | ||||
\(135\) | 0.748961 | + | 0.648978i | 0.0644603 | + | 0.0558551i | ||||
\(136\) | −1.35498 | − | 0.397857i | −0.116188 | − | 0.0341160i | ||||
\(137\) | − | 13.2530i | − | 1.13228i | −0.824310 | − | 0.566139i | \(-0.808437\pi\) | ||
0.824310 | − | 0.566139i | \(-0.191563\pi\) | |||||||
\(138\) | −3.67084 | + | 3.08625i | −0.312483 | + | 0.262719i | ||||
\(139\) | − | 5.93564i | − | 0.503455i | −0.967798 | − | 0.251727i | \(-0.919001\pi\) | ||
0.967798 | − | 0.251727i | \(-0.0809986\pi\) | |||||||
\(140\) | 2.21063 | + | 1.40994i | 0.186832 | + | 0.119161i | ||||
\(141\) | 6.71066 | − | 7.74451i | 0.565139 | − | 0.652206i | ||||
\(142\) | −4.90215 | − | 3.15042i | −0.411380 | − | 0.264378i | ||||
\(143\) | −0.422429 | + | 2.93806i | −0.0353253 | + | 0.245693i | ||||
\(144\) | −0.841254 | + | 0.540641i | −0.0701045 | + | 0.0450534i | ||||
\(145\) | −0.867129 | − | 1.89875i | −0.0720112 | − | 0.157682i | ||||
\(146\) | −0.641696 | + | 0.556033i | −0.0531072 | + | 0.0460176i | ||||
\(147\) | 6.38733 | + | 2.86391i | 0.526818 | + | 0.236211i | ||||
\(148\) | 6.59324 | + | 3.01103i | 0.541961 | + | 0.247505i | ||||
\(149\) | −6.00676 | − | 20.4572i | −0.492093 | − | 1.67592i | −0.713436 | − | 0.700720i | \(-0.752862\pi\) |
0.221343 | − | 0.975196i | \(-0.428956\pi\) | |||||||
\(150\) | −1.13197 | − | 3.85513i | −0.0924249 | − | 0.314770i | ||||
\(151\) | 0.613530 | − | 1.34344i | 0.0499284 | − | 0.109328i | −0.883024 | − | 0.469328i | \(-0.844496\pi\) |
0.932952 | + | 0.360000i | \(0.117223\pi\) | |||||||
\(152\) | 1.03762 | + | 7.21678i | 0.0841618 | + | 0.585358i | ||||
\(153\) | −0.924781 | − | 1.06725i | −0.0747641 | − | 0.0862824i | ||||
\(154\) | 13.3031 | − | 1.95956i | 1.07199 | − | 0.157905i | ||||
\(155\) | 3.45305 | + | 5.37304i | 0.277355 | + | 0.431573i | ||||
\(156\) | 0.0831167 | − | 0.578089i | 0.00665466 | − | 0.0462842i | ||||
\(157\) | −0.0524596 | − | 0.0337138i | −0.00418674 | − | 0.00269065i | 0.538546 | − | 0.842596i | \(-0.318974\pi\) |
−0.542733 | + | 0.839906i | \(0.682610\pi\) | |||||||
\(158\) | −12.7060 | − | 11.0098i | −1.01083 | − | 0.875893i | ||||
\(159\) | −5.11068 | − | 1.50063i | −0.405303 | − | 0.119008i | ||||
\(160\) | −0.991017 | −0.0783468 | ||||||||
\(161\) | −12.2147 | + | 3.43513i | −0.962656 | + | 0.270726i | ||||
\(162\) | −1.00000 | −0.0785674 | ||||||||
\(163\) | −1.49980 | − | 0.440381i | −0.117473 | − | 0.0344933i | 0.222468 | − | 0.974940i | \(-0.428589\pi\) |
−0.339941 | + | 0.940447i | \(0.610407\pi\) | |||||||
\(164\) | −3.30279 | − | 2.86188i | −0.257904 | − | 0.223476i | ||||
\(165\) | 4.23714 | + | 2.72305i | 0.329861 | + | 0.211989i | ||||
\(166\) | −2.41809 | + | 16.8182i | −0.187680 | + | 1.30535i | ||||
\(167\) | 3.68455 | + | 5.73327i | 0.285119 | + | 0.443654i | 0.954040 | − | 0.299680i | \(-0.0968799\pi\) |
−0.668921 | + | 0.743334i | \(0.733244\pi\) | |||||||
\(168\) | −2.61751 | + | 0.385560i | −0.201945 | + | 0.0297466i | ||||
\(169\) | −8.28982 | − | 9.56696i | −0.637678 | − | 0.735920i | ||||
\(170\) | −0.199169 | − | 1.38525i | −0.0152756 | − | 0.106244i | ||||
\(171\) | −3.02879 | + | 6.63212i | −0.231617 | + | 0.507171i | ||||
\(172\) | 2.12108 | + | 7.22372i | 0.161731 | + | 0.550804i | ||||
\(173\) | −4.87713 | − | 16.6100i | −0.370801 | − | 1.26283i | −0.907855 | − | 0.419285i | \(-0.862281\pi\) |
0.537054 | − | 0.843548i | \(-0.319537\pi\) | |||||||
\(174\) | 1.91596 | + | 0.874990i | 0.145249 | + | 0.0663328i | ||||
\(175\) | 1.47655 | − | 10.5273i | 0.111617 | − | 0.795788i | ||||
\(176\) | −3.84099 | + | 3.32824i | −0.289525 | + | 0.250875i | ||||
\(177\) | −2.10676 | − | 4.61316i | −0.158354 | − | 0.346747i | ||||
\(178\) | 0.791024 | − | 0.508360i | 0.0592898 | − | 0.0381032i | ||||
\(179\) | −1.19287 | + | 8.29663i | −0.0891596 | + | 0.620119i | 0.895425 | + | 0.445212i | \(0.146872\pi\) |
−0.984585 | + | 0.174907i | \(0.944037\pi\) | |||||||
\(180\) | −0.833696 | − | 0.535784i | −0.0621401 | − | 0.0399350i | ||||
\(181\) | −8.21106 | + | 9.47606i | −0.610323 | + | 0.704350i | −0.973839 | − | 0.227238i | \(-0.927031\pi\) |
0.363516 | + | 0.931588i | \(0.381576\pi\) | |||||||
\(182\) | 0.830914 | − | 1.30279i | 0.0615915 | − | 0.0965689i | ||||
\(183\) | 7.92095i | 0.585534i | ||||||||
\(184\) | 3.19426 | − | 3.57725i | 0.235484 | − | 0.263718i | ||||
\(185\) | 7.18314i | 0.528115i | ||||||||
\(186\) | −6.18378 | − | 1.81572i | −0.453417 | − | 0.133135i | ||||
\(187\) | −5.42417 | − | 4.70007i | −0.396654 | − | 0.343703i | ||||
\(188\) | −5.54019 | + | 8.62071i | −0.404060 | + | 0.628730i | ||||
\(189\) | −2.41044 | − | 1.09078i | −0.175333 | − | 0.0793424i | ||||
\(190\) | −6.07848 | + | 3.90640i | −0.440979 | + | 0.283400i | ||||
\(191\) | −2.30748 | + | 1.05379i | −0.166964 | + | 0.0762498i | −0.497144 | − | 0.867668i | \(-0.665618\pi\) |
0.330180 | + | 0.943918i | \(0.392891\pi\) | |||||||
\(192\) | 0.755750 | − | 0.654861i | 0.0545415 | − | 0.0472605i | ||||
\(193\) | 2.59446 | + | 18.0449i | 0.186754 | + | 1.29890i | 0.840345 | + | 0.542052i | \(0.182352\pi\) |
−0.653592 | + | 0.756848i | \(0.726739\pi\) | |||||||
\(194\) | 0.633975 | − | 1.38821i | 0.0455168 | − | 0.0996678i | ||||
\(195\) | 0.555343 | − | 0.163063i | 0.0397689 | − | 0.0116772i | ||||
\(196\) | −6.72990 | − | 1.92575i | −0.480707 | − | 0.137553i | ||||
\(197\) | −5.46913 | + | 11.9757i | −0.389660 | + | 0.853235i | 0.608555 | + | 0.793511i | \(0.291749\pi\) |
−0.998215 | + | 0.0597240i | \(0.980978\pi\) | |||||||
\(198\) | −5.03062 | + | 0.723295i | −0.357511 | + | 0.0514023i | ||||
\(199\) | −12.4886 | − | 14.4126i | −0.885292 | − | 1.02168i | −0.999601 | − | 0.0282366i | \(-0.991011\pi\) |
0.114309 | − | 0.993445i | \(-0.463535\pi\) | |||||||
\(200\) | 1.66909 | + | 3.65480i | 0.118022 | + | 0.258433i | ||||
\(201\) | 1.38575 | − | 0.890568i | 0.0977433 | − | 0.0628158i | ||||
\(202\) | −12.3625 | − | 1.77746i | −0.869825 | − | 0.125062i | ||||
\(203\) | 3.66388 | + | 4.19899i | 0.257154 | + | 0.294711i | ||||
\(204\) | 1.06725 | + | 0.924781i | 0.0747228 | + | 0.0647476i | ||||
\(205\) | 1.22017 | − | 4.15552i | 0.0852205 | − | 0.290234i | ||||
\(206\) | 7.67168 | 0.534511 | ||||||||
\(207\) | 4.62119 | − | 1.28242i | 0.321195 | − | 0.0891347i | ||||
\(208\) | 0.584034i | 0.0404955i | ||||||||
\(209\) | −10.4397 | + | 35.5544i | −0.722131 | + | 2.45935i | ||||
\(210\) | −1.42515 | − | 2.20085i | −0.0983448 | − | 0.151873i | ||||
\(211\) | −4.07017 | − | 2.61574i | −0.280202 | − | 0.180075i | 0.392990 | − | 0.919543i | \(-0.371441\pi\) |
−0.673192 | + | 0.739468i | \(0.735077\pi\) | |||||||
\(212\) | 5.27222 | + | 0.758031i | 0.362097 | + | 0.0520618i | ||||
\(213\) | 3.15042 | + | 4.90215i | 0.215863 | + | 0.335890i | ||||
\(214\) | 13.8245 | − | 6.31345i | 0.945025 | − | 0.431578i | ||||
\(215\) | −5.63869 | + | 4.88595i | −0.384555 | + | 0.333219i | ||||
\(216\) | 0.989821 | − | 0.142315i | 0.0673488 | − | 0.00968330i | ||||
\(217\) | −12.9251 | − | 11.1218i | −0.877411 | − | 0.754998i | ||||
\(218\) | −4.64346 | − | 15.8142i | −0.314495 | − | 1.07107i | ||||
\(219\) | 0.814692 | − | 0.239215i | 0.0550518 | − | 0.0161647i | ||||
\(220\) | −4.58154 | − | 2.09232i | −0.308888 | − | 0.141064i | ||||
\(221\) | −0.816366 | + | 0.117376i | −0.0549147 | + | 0.00789555i | ||||
\(222\) | −4.74660 | − | 5.47787i | −0.318571 | − | 0.367650i | ||||
\(223\) | −14.4574 | + | 6.60249i | −0.968141 | + | 0.442135i | −0.835779 | − | 0.549066i | \(-0.814983\pi\) |
−0.132362 | + | 0.991201i | \(0.542256\pi\) | |||||||
\(224\) | 2.53599 | − | 0.754146i | 0.169443 | − | 0.0503885i | ||||
\(225\) | −0.571805 | + | 3.97699i | −0.0381203 | + | 0.265133i | ||||
\(226\) | −1.75690 | + | 2.73379i | −0.116867 | + | 0.181849i | ||||
\(227\) | −5.21355 | + | 6.01675i | −0.346035 | + | 0.399346i | −0.901913 | − | 0.431918i | \(-0.857837\pi\) |
0.555878 | + | 0.831264i | \(0.312382\pi\) | |||||||
\(228\) | 2.05411 | − | 6.99566i | 0.136037 | − | 0.463299i | ||||
\(229\) | −13.7051 | −0.905656 | −0.452828 | − | 0.891598i | \(-0.649585\pi\) | ||||
−0.452828 | + | 0.891598i | \(0.649585\pi\) | |||||||
\(230\) | 4.53977 | + | 1.40681i | 0.299344 | + | 0.0927621i | ||||
\(231\) | −12.9150 | − | 3.74383i | −0.849742 | − | 0.246326i | ||||
\(232\) | −2.02098 | − | 0.593414i | −0.132684 | − | 0.0389595i | ||||
\(233\) | 14.1080 | − | 16.2815i | 0.924245 | − | 1.06664i | −0.0733484 | − | 0.997306i | \(-0.523368\pi\) |
0.997594 | − | 0.0693297i | \(-0.0220860\pi\) | |||||||
\(234\) | −0.315753 | + | 0.491321i | −0.0206414 | + | 0.0321186i | ||||
\(235\) | −10.0520 | − | 1.44526i | −0.655723 | − | 0.0942787i | ||||
\(236\) | 2.74184 | + | 4.26639i | 0.178479 | + | 0.277718i | ||||
\(237\) | 6.98414 | + | 15.2931i | 0.453669 | + | 0.993396i | ||||
\(238\) | 1.56382 | + | 3.39326i | 0.101367 | + | 0.219953i | ||||
\(239\) | 0.998666 | + | 6.94587i | 0.0645983 | + | 0.449291i | 0.996291 | + | 0.0860445i | \(0.0274227\pi\) |
−0.931693 | + | 0.363247i | \(0.881668\pi\) | |||||||
\(240\) | 0.901461 | + | 0.411683i | 0.0581890 | + | 0.0265740i | ||||
\(241\) | 27.0033 | − | 7.92889i | 1.73944 | − | 0.510744i | 0.750729 | − | 0.660610i | \(-0.229702\pi\) |
0.988706 | + | 0.149866i | \(0.0478841\pi\) | |||||||
\(242\) | −14.2296 | + | 4.17819i | −0.914714 | + | 0.268584i | ||||
\(243\) | 0.909632 | + | 0.415415i | 0.0583529 | + | 0.0266489i | ||||
\(244\) | −1.12727 | − | 7.84033i | −0.0721660 | − | 0.501926i | ||||
\(245\) | −1.03460 | − | 6.85953i | −0.0660982 | − | 0.438240i | ||||
\(246\) | 1.81545 | + | 3.97529i | 0.115749 | + | 0.253455i | ||||
\(247\) | 2.30215 | + | 3.58222i | 0.146482 | + | 0.227931i | ||||
\(248\) | 6.37924 | + | 0.917197i | 0.405082 | + | 0.0582421i | ||||
\(249\) | 9.18611 | − | 14.2939i | 0.582146 | − | 0.905837i | ||||
\(250\) | −5.85241 | + | 6.75404i | −0.370139 | + | 0.427163i | ||||
\(251\) | −7.78968 | − | 2.28726i | −0.491680 | − | 0.144370i | 0.0264879 | − | 0.999649i | \(-0.491568\pi\) |
−0.518168 | + | 0.855279i | \(0.673386\pi\) | |||||||
\(252\) | 2.54114 | + | 0.736634i | 0.160077 | + | 0.0464036i | ||||
\(253\) | 22.3199 | − | 9.79388i | 1.40324 | − | 0.615736i | ||||
\(254\) | −1.20889 | −0.0758528 | ||||||||
\(255\) | −0.394283 | + | 1.34281i | −0.0246910 | + | 0.0840897i | ||||
\(256\) | −0.654861 | + | 0.755750i | −0.0409288 | + | 0.0472343i | ||||
\(257\) | 7.11072 | − | 11.0645i | 0.443554 | − | 0.690184i | −0.545438 | − | 0.838151i | \(-0.683637\pi\) |
0.988992 | + | 0.147967i | \(0.0472730\pi\) | |||||||
\(258\) | 1.07144 | − | 7.45206i | 0.0667052 | − | 0.463945i | ||||
\(259\) | −5.46624 | − | 18.3815i | −0.339656 | − | 1.14217i | ||||
\(260\) | −0.526484 | + | 0.240437i | −0.0326511 | + | 0.0149113i | ||||
\(261\) | −1.37933 | − | 1.59184i | −0.0853787 | − | 0.0985322i | ||||
\(262\) | 1.85631 | − | 0.266896i | 0.114683 | − | 0.0164889i | ||||
\(263\) | −19.4561 | − | 8.88530i | −1.19971 | − | 0.547891i | −0.287569 | − | 0.957760i | \(-0.592847\pi\) |
−0.912144 | + | 0.409869i | \(0.865574\pi\) | |||||||
\(264\) | 4.87648 | − | 1.43187i | 0.300127 | − | 0.0881252i | ||||
\(265\) | 1.48715 | + | 5.06477i | 0.0913549 | + | 0.311126i | ||||
\(266\) | 12.5820 | − | 14.6220i | 0.771452 | − | 0.896533i | ||||
\(267\) | −0.930722 | + | 0.133818i | −0.0569592 | + | 0.00818950i | ||||
\(268\) | −1.24490 | + | 1.07872i | −0.0760446 | + | 0.0658930i | ||||
\(269\) | 24.0512 | − | 10.9838i | 1.46643 | − | 0.669696i | 0.487357 | − | 0.873203i | \(-0.337961\pi\) |
0.979074 | + | 0.203507i | \(0.0652339\pi\) | |||||||
\(270\) | 0.535784 | + | 0.833696i | 0.0326068 | + | 0.0507372i | ||||
\(271\) | 26.9210 | + | 3.87066i | 1.63534 | + | 0.235126i | 0.897871 | − | 0.440258i | \(-0.145113\pi\) |
0.737466 | + | 0.675384i | \(0.236022\pi\) | |||||||
\(272\) | −1.18800 | − | 0.763482i | −0.0720332 | − | 0.0462929i | ||||
\(273\) | −1.29702 | + | 0.839882i | −0.0784994 | + | 0.0508320i | ||||
\(274\) | 3.73379 | − | 12.7161i | 0.225567 | − | 0.768209i | ||||
\(275\) | 20.4203i | 1.23139i | ||||||||
\(276\) | −4.39164 | + | 1.92704i | −0.264346 | + | 0.115994i | ||||
\(277\) | −8.90340 | −0.534953 | −0.267477 | − | 0.963564i | \(-0.586190\pi\) | ||||
−0.267477 | + | 0.963564i | \(0.586190\pi\) | |||||||
\(278\) | 1.67226 | − | 5.69521i | 0.100296 | − | 0.341576i | ||||
\(279\) | 4.87069 | + | 4.22047i | 0.291600 | + | 0.252673i | ||||
\(280\) | 1.72386 | + | 1.97563i | 0.103020 | + | 0.118066i | ||||
\(281\) | −5.69236 | − | 0.818438i | −0.339578 | − | 0.0488239i | −0.0295835 | − | 0.999562i | \(-0.509418\pi\) |
−0.309994 | + | 0.950738i | \(0.600327\pi\) | |||||||
\(282\) | 8.62071 | − | 5.54019i | 0.513356 | − | 0.329914i | ||||
\(283\) | −1.84458 | − | 4.03906i | −0.109649 | − | 0.240097i | 0.846851 | − | 0.531830i | \(-0.178495\pi\) |
−0.956500 | + | 0.291733i | \(0.905768\pi\) | |||||||
\(284\) | −3.81601 | − | 4.40390i | −0.226438 | − | 0.261324i | ||||
\(285\) | 7.15195 | − | 1.02830i | 0.423645 | − | 0.0609110i | ||||
\(286\) | −1.23306 | + | 2.70003i | −0.0729126 | + | 0.159656i | ||||
\(287\) | 0.0398823 | + | 11.5624i | 0.00235418 | + | 0.682509i | ||||
\(288\) | −0.959493 | + | 0.281733i | −0.0565387 | + | 0.0166013i | ||||
\(289\) | −6.23361 | + | 13.6497i | −0.366683 | + | 0.802924i | ||||
\(290\) | −0.297065 | − | 2.06613i | −0.0174443 | − | 0.121328i | ||||
\(291\) | −1.15337 | + | 0.999400i | −0.0676117 | + | 0.0585858i | ||||
\(292\) | −0.772356 | + | 0.352723i | −0.0451987 | + | 0.0206416i | ||||
\(293\) | −12.5000 | + | 8.03329i | −0.730260 | + | 0.469310i | −0.852192 | − | 0.523229i | \(-0.824727\pi\) |
0.121932 | + | 0.992538i | \(0.461091\pi\) | |||||||
\(294\) | 5.32174 | + | 4.54742i | 0.310370 | + | 0.265211i | ||||
\(295\) | −2.71721 | + | 4.22806i | −0.158202 | + | 0.246167i | ||||
\(296\) | 5.47787 | + | 4.74660i | 0.318394 | + | 0.275890i | ||||
\(297\) | 4.87648 | + | 1.43187i | 0.282962 | + | 0.0830852i | ||||
\(298\) | − | 21.3208i | − | 1.23508i | ||||||
\(299\) | 0.829071 | − | 2.67541i | 0.0479464 | − | 0.154723i | ||||
\(300\) | − | 4.01789i | − | 0.231973i | ||||||
\(301\) | 10.7112 | − | 16.7940i | 0.617382 | − | 0.967990i | ||||
\(302\) | 0.967170 | − | 1.11617i | 0.0556544 | − | 0.0642286i | ||||
\(303\) | 10.5070 | + | 6.75242i | 0.603610 | + | 0.387916i | ||||
\(304\) | −1.03762 | + | 7.21678i | −0.0595114 | + | 0.413911i | ||||
\(305\) | 6.60367 | − | 4.24392i | 0.378125 | − | 0.243006i | ||||
\(306\) | −0.586641 | − | 1.28456i | −0.0335360 | − | 0.0734337i | ||||
\(307\) | 8.71464 | − | 7.55128i | 0.497371 | − | 0.430974i | −0.369706 | − | 0.929149i | \(-0.620542\pi\) |
0.867077 | + | 0.498174i | \(0.165996\pi\) | |||||||
\(308\) | 13.3163 | + | 1.86774i | 0.758767 | + | 0.106424i | ||||
\(309\) | −6.97840 | − | 3.18693i | −0.396988 | − | 0.181298i | ||||
\(310\) | 1.79941 | + | 6.12823i | 0.102200 | + | 0.348060i | ||||
\(311\) | 2.94632 | + | 10.0342i | 0.167070 | + | 0.568990i | 0.999881 | + | 0.0154314i | \(0.00491218\pi\) |
−0.832810 | + | 0.553558i | \(0.813270\pi\) | |||||||
\(312\) | 0.242617 | − | 0.531256i | 0.0137355 | − | 0.0300765i | ||||
\(313\) | −4.71949 | − | 32.8247i | −0.266761 | − | 1.85536i | −0.478565 | − | 0.878052i | \(-0.658843\pi\) |
0.211804 | − | 0.977312i | \(-0.432066\pi\) | |||||||
\(314\) | −0.0408364 | − | 0.0471277i | −0.00230453 | − | 0.00265957i | ||||
\(315\) | 0.382097 | + | 2.59399i | 0.0215287 | + | 0.146155i | ||||
\(316\) | −9.08949 | − | 14.1435i | −0.511324 | − | 0.795635i | ||||
\(317\) | −0.436211 | + | 3.03391i | −0.0245000 | + | 0.170401i | −0.998398 | − | 0.0565859i | \(-0.981979\pi\) |
0.973898 | + | 0.226987i | \(0.0728876\pi\) | |||||||
\(318\) | −4.48088 | − | 2.87969i | −0.251275 | − | 0.161485i | ||||
\(319\) | −8.09028 | − | 7.01027i | −0.452969 | − | 0.392500i | ||||
\(320\) | −0.950874 | − | 0.279202i | −0.0531555 | − | 0.0156079i | ||||
\(321\) | −15.1979 | −0.848266 | ||||||||
\(322\) | −12.6877 | − | 0.145307i | −0.707060 | − | 0.00809765i | ||||
\(323\) | −10.2962 | −0.572896 | ||||||||
\(324\) | −0.959493 | − | 0.281733i | −0.0533052 | − | 0.0156518i | ||||
\(325\) | 1.77343 | + | 1.53668i | 0.0983721 | + | 0.0852399i | ||||
\(326\) | −1.31498 | − | 0.845085i | −0.0728299 | − | 0.0468049i | ||||
\(327\) | −2.34561 | + | 16.3141i | −0.129712 | + | 0.902169i | ||||
\(328\) | −2.36272 | − | 3.67646i | −0.130459 | − | 0.202999i | ||||
\(329\) | 26.8228 | − | 3.95101i | 1.47879 | − | 0.217827i | ||||
\(330\) | 3.29834 | + | 3.80648i | 0.181567 | + | 0.209540i | ||||
\(331\) | 2.81734 | + | 19.5950i | 0.154855 | + | 1.07704i | 0.907935 | + | 0.419110i | \(0.137658\pi\) |
−0.753080 | + | 0.657928i | \(0.771433\pi\) | |||||||
\(332\) | −7.05838 | + | 15.4557i | −0.387379 | + | 0.848241i | ||||
\(333\) | 2.04207 | + | 6.95465i | 0.111905 | + | 0.381112i | ||||
\(334\) | 1.92005 | + | 6.53909i | 0.105060 | + | 0.357803i | ||||
\(335\) | −1.48493 | − | 0.678143i | −0.0811302 | − | 0.0370509i | ||||
\(336\) | −2.62010 | − | 0.367494i | −0.142938 | − | 0.0200485i | ||||
\(337\) | 12.7393 | − | 11.0386i | 0.693952 | − | 0.601313i | −0.234787 | − | 0.972047i | \(-0.575439\pi\) |
0.928739 | + | 0.370734i | \(0.120894\pi\) | |||||||
\(338\) | −5.25870 | − | 11.5149i | −0.286036 | − | 0.626330i | ||||
\(339\) | 2.73379 | − | 1.75690i | 0.148479 | − | 0.0954217i | ||||
\(340\) | 0.199169 | − | 1.38525i | 0.0108014 | − | 0.0751257i | ||||
\(341\) | 27.5552 | + | 17.7087i | 1.49220 | + | 0.958979i | ||||
\(342\) | −4.77459 | + | 5.51017i | −0.258180 | + | 0.297956i | ||||
\(343\) | 7.86751 | + | 16.7661i | 0.424805 | + | 0.905285i | ||||
\(344\) | 7.52869i | 0.405920i | ||||||||
\(345\) | −3.54511 | − | 3.16557i | −0.190862 | − | 0.170428i | ||||
\(346\) | − | 17.3112i | − | 0.930656i | ||||||
\(347\) | −19.3662 | − | 5.68642i | −1.03963 | − | 0.305263i | −0.283010 | − | 0.959117i | \(-0.591333\pi\) |
−0.756621 | + | 0.653854i | \(0.773151\pi\) | |||||||
\(348\) | 1.59184 | + | 1.37933i | 0.0853314 | + | 0.0739401i | ||||
\(349\) | −11.0217 | + | 17.1500i | −0.589976 | + | 0.918020i | 0.410007 | + | 0.912082i | \(0.365526\pi\) |
−0.999982 | + | 0.00593738i | \(0.998110\pi\) | |||||||
\(350\) | 4.38262 | − | 9.68486i | 0.234261 | − | 0.517677i | ||||
\(351\) | 0.491321 | − | 0.315753i | 0.0262248 | − | 0.0168536i | ||||
\(352\) | −4.62307 | + | 2.11129i | −0.246411 | + | 0.112532i | ||||
\(353\) | 13.4041 | − | 11.6148i | 0.713431 | − | 0.618191i | −0.220608 | − | 0.975362i | \(-0.570804\pi\) |
0.934039 | + | 0.357171i | \(0.116259\pi\) | |||||||
\(354\) | −0.721744 | − | 5.01984i | −0.0383603 | − | 0.266802i | ||||
\(355\) | 2.39896 | − | 5.25299i | 0.127324 | − | 0.278800i | ||||
\(356\) | 0.902204 | − | 0.264911i | 0.0478167 | − | 0.0140403i | ||||
\(357\) | −0.0128875 | − | 3.73626i | −0.000682077 | − | 0.197744i | ||||
\(358\) | −3.48198 | + | 7.62448i | −0.184029 | + | 0.402966i | ||||
\(359\) | 29.0109 | − | 4.17114i | 1.53114 | − | 0.220144i | 0.675359 | − | 0.737489i | \(-0.263989\pi\) |
0.855777 | + | 0.517345i | \(0.173080\pi\) | |||||||
\(360\) | −0.648978 | − | 0.748961i | −0.0342041 | − | 0.0394737i | ||||
\(361\) | 14.1900 | + | 31.0718i | 0.746842 | + | 1.63536i | ||||
\(362\) | −10.5482 | + | 6.77889i | −0.554399 | + | 0.356291i | ||||
\(363\) | 14.6794 | + | 2.11058i | 0.770468 | + | 0.110777i | ||||
\(364\) | 1.16429 | − | 1.01592i | 0.0610256 | − | 0.0532486i | ||||
\(365\) | −0.635932 | − | 0.551038i | −0.0332862 | − | 0.0288426i | ||||
\(366\) | −2.23159 | + | 7.60010i | −0.116647 | + | 0.397263i | ||||
\(367\) | 25.6106 | 1.33686 | 0.668431 | − | 0.743774i | \(-0.266966\pi\) | ||||
0.668431 | + | 0.743774i | \(0.266966\pi\) | |||||||
\(368\) | 4.07270 | − | 2.53242i | 0.212304 | − | 0.132011i | ||||
\(369\) | − | 4.37022i | − | 0.227504i | ||||||
\(370\) | −2.02373 | + | 6.89217i | −0.105208 | + | 0.358307i | ||||
\(371\) | −7.65979 | − | 11.8289i | −0.397676 | − | 0.614128i | ||||
\(372\) | −5.42175 | − | 3.48435i | −0.281105 | − | 0.180655i | ||||
\(373\) | −3.57229 | − | 0.513618i | −0.184966 | − | 0.0265941i | 0.0492092 | − | 0.998788i | \(-0.484330\pi\) |
−0.234175 | + | 0.972194i | \(0.575239\pi\) | |||||||
\(374\) | −3.88029 | − | 6.03785i | −0.200645 | − | 0.312210i | ||||
\(375\) | 8.12927 | − | 3.71251i | 0.419794 | − | 0.191713i | ||||
\(376\) | −7.74451 | + | 6.71066i | −0.399393 | + | 0.346076i | ||||
\(377\) | −1.21763 | + | 0.175069i | −0.0627112 | + | 0.00901651i | ||||
\(378\) | −2.00549 | − | 1.72569i | −0.103151 | − | 0.0887600i | ||||
\(379\) | −5.89845 | − | 20.0883i | −0.302983 | − | 1.03187i | −0.960466 | − | 0.278397i | \(-0.910197\pi\) |
0.657483 | − | 0.753469i | \(-0.271621\pi\) | |||||||
\(380\) | −6.93282 | + | 2.03566i | −0.355646 | + | 0.104427i | ||||
\(381\) | 1.09965 | + | 0.502193i | 0.0563367 | + | 0.0257281i | ||||
\(382\) | −2.51090 | + | 0.361013i | −0.128469 | + | 0.0184710i | ||||
\(383\) | 8.89234 | + | 10.2623i | 0.454378 | + | 0.524380i | 0.936000 | − | 0.351999i | \(-0.114498\pi\) |
−0.481623 | + | 0.876379i | \(0.659952\pi\) | |||||||
\(384\) | 0.909632 | − | 0.415415i | 0.0464195 | − | 0.0211991i | ||||
\(385\) | 3.79841 | + | 12.7730i | 0.193585 | + | 0.650974i | ||||
\(386\) | −2.59446 | + | 18.0449i | −0.132055 | + | 0.918461i | ||||
\(387\) | −4.07032 | + | 6.33353i | −0.206906 | + | 0.321952i | ||||
\(388\) | 0.999400 | − | 1.15337i | 0.0507368 | − | 0.0585534i | ||||
\(389\) | 4.20290 | − | 14.3138i | 0.213095 | − | 0.725736i | −0.781683 | − | 0.623676i | \(-0.785638\pi\) |
0.994778 | − | 0.102060i | \(-0.0325434\pi\) | |||||||
\(390\) | 0.578788 | 0.0293081 | ||||||||
\(391\) | 4.35834 | + | 5.18389i | 0.220410 | + | 0.262161i | ||||
\(392\) | −5.91474 | − | 3.74377i | −0.298740 | − | 0.189089i | ||||
\(393\) | −1.79943 | − | 0.528360i | −0.0907691 | − | 0.0266522i | ||||
\(394\) | −8.62155 | + | 9.94980i | −0.434347 | + | 0.501263i | ||||
\(395\) | 9.00784 | − | 14.0165i | 0.453234 | − | 0.705245i | ||||
\(396\) | −5.03062 | − | 0.723295i | −0.252798 | − | 0.0363469i | ||||
\(397\) | 2.95790 | + | 4.60258i | 0.148453 | + | 0.230997i | 0.907514 | − | 0.420023i | \(-0.137978\pi\) |
−0.759061 | + | 0.651020i | \(0.774342\pi\) | |||||||
\(398\) | −7.92221 | − | 17.3472i | −0.397105 | − | 0.869538i | ||||
\(399\) | −17.5192 | + | 8.07390i | −0.877057 | + | 0.404200i | ||||
\(400\) | 0.571805 | + | 3.97699i | 0.0285902 | + | 0.198849i | ||||
\(401\) | 29.9807 | + | 13.6917i | 1.49717 | + | 0.683733i | 0.984585 | − | 0.174906i | \(-0.0559623\pi\) |
0.512581 | + | 0.858639i | \(0.328690\pi\) | |||||||
\(402\) | 1.58052 | − | 0.464082i | 0.0788291 | − | 0.0231463i | ||||
\(403\) | 3.61154 | − | 1.06044i | 0.179904 | − | 0.0528245i | ||||
\(404\) | −11.3610 | − | 5.18839i | −0.565231 | − | 0.258132i | ||||
\(405\) | −0.141036 | − | 0.980930i | −0.00700816 | − | 0.0487428i | ||||
\(406\) | 2.33248 | + | 5.06114i | 0.115759 | + | 0.251180i | ||||
\(407\) | 15.3031 | + | 33.5092i | 0.758549 | + | 1.66099i | ||||
\(408\) | 0.763482 | + | 1.18800i | 0.0377980 | + | 0.0588148i | ||||
\(409\) | −38.3298 | − | 5.51099i | −1.89529 | − | 0.272501i | −0.906542 | − | 0.422116i | \(-0.861287\pi\) |
−0.988744 | + | 0.149615i | \(0.952196\pi\) | |||||||
\(410\) | 2.34149 | − | 3.64343i | 0.115638 | − | 0.179936i | ||||
\(411\) | −8.67885 | + | 10.0159i | −0.428096 | + | 0.494049i | ||||
\(412\) | 7.36092 | + | 2.16136i | 0.362647 | + | 0.106483i | ||||
\(413\) | 3.73581 | − | 12.8873i | 0.183827 | − | 0.634141i | ||||
\(414\) | 4.79530 | + | 0.0714617i | 0.235676 | + | 0.00351215i | ||||
\(415\) | −16.8385 | −0.826570 | ||||||||
\(416\) | −0.164541 | + | 0.560377i | −0.00806731 | + | 0.0274747i | ||||
\(417\) | −3.88702 | + | 4.48586i | −0.190348 | + | 0.219673i | ||||
\(418\) | −20.0337 | + | 31.1730i | −0.979879 | + | 1.52472i | ||||
\(419\) | −2.45214 | + | 17.0550i | −0.119795 | + | 0.833193i | 0.837986 | + | 0.545692i | \(0.183733\pi\) |
−0.957781 | + | 0.287500i | \(0.907176\pi\) | |||||||
\(420\) | −0.747372 | − | 2.51321i | −0.0364680 | − | 0.122632i | ||||
\(421\) | 36.7892 | − | 16.8011i | 1.79300 | − | 0.818835i | 0.826164 | − | 0.563429i | \(-0.190518\pi\) |
0.966834 | − | 0.255405i | \(-0.0822089\pi\) | |||||||
\(422\) | −3.16836 | − | 3.65649i | −0.154234 | − | 0.177995i | ||||
\(423\) | −10.1432 | + | 1.45837i | −0.493177 | + | 0.0709082i | ||||
\(424\) | 4.84510 | + | 2.21268i | 0.235299 | + | 0.107457i | ||||
\(425\) | −5.44414 | + | 1.59854i | −0.264080 | + | 0.0775408i | ||||
\(426\) | 1.64171 | + | 5.59116i | 0.0795412 | + | 0.270893i | ||||
\(427\) | −13.6691 | + | 15.8854i | −0.661495 | + | 0.768748i | ||||
\(428\) | 15.0432 | − | 2.16289i | 0.727142 | − | 0.104547i | ||||
\(429\) | 2.24327 | − | 1.94380i | 0.108306 | − | 0.0938477i | ||||
\(430\) | −6.78682 | + | 3.09943i | −0.327289 | + | 0.149468i | ||||
\(431\) | 21.4763 | + | 33.4178i | 1.03448 | + | 1.60968i | 0.762068 | + | 0.647497i | \(0.224184\pi\) |
0.272409 | + | 0.962181i | \(0.412180\pi\) | |||||||
\(432\) | 0.989821 | + | 0.142315i | 0.0476228 | + | 0.00684713i | ||||
\(433\) | 8.87232 | + | 5.70189i | 0.426376 | + | 0.274015i | 0.736181 | − | 0.676785i | \(-0.236627\pi\) |
−0.309805 | + | 0.950800i | \(0.600264\pi\) | |||||||
\(434\) | −9.26814 | − | 14.3127i | −0.444885 | − | 0.687032i | ||||
\(435\) | −0.588083 | + | 2.00283i | −0.0281964 | + | 0.0960282i | ||||
\(436\) | − | 16.4818i | − | 0.789336i | ||||||
\(437\) | 14.9979 | − | 31.5866i | 0.717446 | − | 1.51099i | ||||
\(438\) | 0.849086 | 0.0405709 | ||||||||
\(439\) | 6.75925 | − | 23.0199i | 0.322601 | − | 1.09868i | −0.625371 | − | 0.780327i | \(-0.715053\pi\) |
0.947973 | − | 0.318352i | \(-0.103129\pi\) | |||||||
\(440\) | −3.80648 | − | 3.29834i | −0.181467 | − | 0.157242i | ||||
\(441\) | −2.95176 | − | 6.34721i | −0.140560 | − | 0.302248i | ||||
\(442\) | −0.816366 | − | 0.117376i | −0.0388306 | − | 0.00558300i | ||||
\(443\) | 4.98446 | − | 3.20332i | 0.236819 | − | 0.152194i | −0.416849 | − | 0.908976i | \(-0.636866\pi\) |
0.653668 | + | 0.756781i | \(0.273229\pi\) | |||||||
\(444\) | −3.01103 | − | 6.59324i | −0.142897 | − | 0.312902i | ||||
\(445\) | 0.610229 | + | 0.704242i | 0.0289276 | + | 0.0333843i | ||||
\(446\) | −15.7319 | + | 2.26191i | −0.744929 | + | 0.107105i | ||||
\(447\) | −8.85698 | + | 19.3941i | −0.418921 | + | 0.917309i | ||||
\(448\) | 2.64574 | − | 0.00912594i | 0.124999 | − | 0.000431160i | ||||
\(449\) | −36.0616 | + | 10.5886i | −1.70185 | + | 0.499709i | −0.981103 | − | 0.193487i | \(-0.938020\pi\) |
−0.720749 | + | 0.693196i | \(0.756202\pi\) | |||||||
\(450\) | −1.66909 | + | 3.65480i | −0.0786817 | + | 0.172289i | ||||
\(451\) | −3.16095 | − | 21.9849i | −0.148844 | − | 1.03523i | ||||
\(452\) | −2.45593 | + | 2.12808i | −0.115517 | + | 0.100096i | ||||
\(453\) | −1.34344 | + | 0.613530i | −0.0631205 | + | 0.0288262i | ||||
\(454\) | −6.69748 | + | 4.30421i | −0.314328 | + | 0.202006i | ||||
\(455\) | 1.39513 | + | 0.631328i | 0.0654047 | + | 0.0295971i | ||||
\(456\) | 3.94181 | − | 6.13357i | 0.184592 | − | 0.287231i | ||||
\(457\) | −16.7863 | − | 14.5454i | −0.785230 | − | 0.680405i | 0.166943 | − | 0.985967i | \(-0.446610\pi\) |
−0.952172 | + | 0.305561i | \(0.901156\pi\) | |||||||
\(458\) | −13.1499 | − | 3.86116i | −0.614455 | − | 0.180420i | ||||
\(459\) | 1.41218i | 0.0659149i | ||||||||
\(460\) | 3.95954 | + | 2.62882i | 0.184614 | + | 0.122569i | ||||
\(461\) | 1.03731i | 0.0483123i | 0.999708 | + | 0.0241561i | \(0.00768988\pi\) | ||||
−0.999708 | + | 0.0241561i | \(0.992310\pi\) | |||||||
\(462\) | −11.3370 | − | 7.23075i | −0.527447 | − | 0.336405i | ||||
\(463\) | 0.780860 | − | 0.901160i | 0.0362896 | − | 0.0418805i | −0.737315 | − | 0.675550i | \(-0.763906\pi\) |
0.773604 | + | 0.633669i | \(0.218452\pi\) | |||||||
\(464\) | −1.77193 | − | 1.13875i | −0.0822600 | − | 0.0528653i | ||||
\(465\) | 0.908958 | − | 6.32194i | 0.0421519 | − | 0.293173i | ||||
\(466\) | 18.1235 | − | 11.6473i | 0.839557 | − | 0.539551i | ||||
\(467\) | −7.91705 | − | 17.3359i | −0.366358 | − | 0.802211i | −0.999601 | − | 0.0282583i | \(-0.991004\pi\) |
0.633243 | − | 0.773953i | \(-0.281723\pi\) | |||||||
\(468\) | −0.441383 | + | 0.382461i | −0.0204030 | + | 0.0176793i | ||||
\(469\) | 4.31595 | + | 0.605353i | 0.199292 | + | 0.0279526i | ||||
\(470\) | −9.23768 | − | 4.21871i | −0.426102 | − | 0.194594i | ||||
\(471\) | 0.0175685 | + | 0.0598329i | 0.000809515 | + | 0.00275696i | ||||
\(472\) | 1.42880 | + | 4.86603i | 0.0657657 | + | 0.223977i | ||||
\(473\) | −15.8952 | + | 34.8057i | −0.730863 | + | 1.60037i | ||||
\(474\) | 2.39266 | + | 16.6413i | 0.109898 | + | 0.764361i | ||||
\(475\) | 19.1837 | + | 22.1392i | 0.880210 | + | 1.01582i | ||||
\(476\) | 0.544481 | + | 3.69639i | 0.0249562 | + | 0.169424i | ||||
\(477\) | 2.87969 | + | 4.48088i | 0.131852 | + | 0.205165i | ||||
\(478\) | −0.998666 | + | 6.94587i | −0.0456779 | + | 0.317697i | ||||
\(479\) | −35.4211 | − | 22.7637i | −1.61843 | − | 1.04010i | −0.956997 | − | 0.290097i | \(-0.906312\pi\) |
−0.661433 | − | 0.750005i | \(-0.730051\pi\) | |||||||
\(480\) | 0.748961 | + | 0.648978i | 0.0341852 | + | 0.0296217i | ||||
\(481\) | 4.06175 | + | 1.19264i | 0.185200 | + | 0.0543796i | ||||
\(482\) | 28.1433 | 1.28189 | ||||||||
\(483\) | 11.4808 | + | 5.40286i | 0.522395 | + | 0.245838i | ||||
\(484\) | −14.8303 | −0.674106 | ||||||||
\(485\) | 1.45115 | + | 0.426097i | 0.0658934 | + | 0.0193481i | ||||
\(486\) | 0.755750 | + | 0.654861i | 0.0342815 | + | 0.0297051i | ||||
\(487\) | 28.2325 | + | 18.1439i | 1.27934 | + | 0.822179i | 0.990806 | − | 0.135292i | \(-0.0431972\pi\) |
0.288530 | + | 0.957471i | \(0.406834\pi\) | |||||||
\(488\) | 1.12727 | − | 7.84033i | 0.0510291 | − | 0.354915i | ||||
\(489\) | 0.845085 | + | 1.31498i | 0.0382160 | + | 0.0594653i | ||||
\(490\) | 0.939863 | − | 6.87316i | 0.0424587 | − | 0.310498i | ||||
\(491\) | −10.5292 | − | 12.1514i | −0.475177 | − | 0.548383i | 0.466668 | − | 0.884433i | \(-0.345454\pi\) |
−0.941844 | + | 0.336050i | \(0.890909\pi\) | |||||||
\(492\) | 0.621947 | + | 4.32573i | 0.0280395 | + | 0.195019i | ||||
\(493\) | 1.23564 | − | 2.70568i | 0.0556506 | − | 0.121858i | ||||
\(494\) | 1.19967 | + | 4.08570i | 0.0539757 | + | 0.183824i | ||||
\(495\) | −1.41900 | − | 4.83268i | −0.0637794 | − | 0.217213i | ||||
\(496\) | 5.86244 | + | 2.67728i | 0.263231 | + | 0.120214i | ||||
\(497\) | −2.14146 | + | 15.2679i | −0.0960578 | + | 0.684858i | ||||
\(498\) | 12.8411 | − | 11.1268i | 0.575421 | − | 0.498605i | ||||
\(499\) | 7.81050 | + | 17.1026i | 0.349646 | + | 0.765618i | 0.999982 | + | 0.00597147i | \(0.00190079\pi\) |
−0.650336 | + | 0.759647i | \(0.725372\pi\) | |||||||
\(500\) | −7.51818 | + | 4.83164i | −0.336223 | + | 0.216078i | ||||
\(501\) | 0.969897 | − | 6.74578i | 0.0433318 | − | 0.301379i | ||||
\(502\) | −6.82975 | − | 4.38921i | −0.304827 | − | 0.195900i | ||||
\(503\) | −3.07929 | + | 3.55369i | −0.137299 | + | 0.158451i | −0.820235 | − | 0.572027i | \(-0.806157\pi\) |
0.682936 | + | 0.730478i | \(0.260703\pi\) | |||||||
\(504\) | 2.23067 | + | 1.42272i | 0.0993619 | + | 0.0633728i | ||||
\(505\) | − | 12.3775i | − | 0.550790i | ||||||
\(506\) | 24.1750 | − | 3.10892i | 1.07471 | − | 0.138208i | ||||
\(507\) | 12.6589i | 0.562202i | ||||||||
\(508\) | −1.15993 | − | 0.340585i | −0.0514634 | − | 0.0151110i | ||||
\(509\) | 0.0626238 | + | 0.0542638i | 0.00277575 | + | 0.00240520i | 0.656248 | − | 0.754546i | \(-0.272143\pi\) |
−0.653472 | + | 0.756951i | \(0.726688\pi\) | |||||||
\(510\) | −0.756624 | + | 1.17733i | −0.0335039 | + | 0.0521330i | ||||
\(511\) | 2.04667 | + | 0.926163i | 0.0905392 | + | 0.0409711i | ||||
\(512\) | −0.841254 | + | 0.540641i | −0.0371785 | + | 0.0238932i | ||||
\(513\) | 6.63212 | − | 3.02879i | 0.292815 | − | 0.133724i | ||||
\(514\) | 9.93991 | − | 8.61298i | 0.438431 | − | 0.379902i | ||||
\(515\) | 1.08199 | + | 7.52538i | 0.0476780 | + | 0.331608i | ||||
\(516\) | 3.12753 | − | 6.84833i | 0.137682 | − | 0.301481i | ||||
\(517\) | −49.9716 | + | 14.6730i | −2.19775 | + | 0.645317i | ||||
\(518\) | −0.0661471 | − | 19.1770i | −0.00290634 | − | 0.842587i | ||||
\(519\) | −7.19133 | + | 15.7468i | −0.315664 | + | 0.691208i | ||||
\(520\) | −0.572896 | + | 0.0823701i | −0.0251232 | + | 0.00361217i | ||||
\(521\) | 1.78167 | + | 2.05615i | 0.0780563 | + | 0.0900818i | 0.793434 | − | 0.608656i | \(-0.208291\pi\) |
−0.715378 | + | 0.698738i | \(0.753746\pi\) | |||||||
\(522\) | −0.874990 | − | 1.91596i | −0.0382973 | − | 0.0838593i | ||||
\(523\) | 24.1530 | − | 15.5222i | 1.05614 | − | 0.678737i | 0.107209 | − | 0.994236i | \(-0.465808\pi\) |
0.948926 | + | 0.315500i | \(0.102172\pi\) | |||||||
\(524\) | 1.85631 | + | 0.266896i | 0.0810931 | + | 0.0116594i | ||||
\(525\) | −8.00980 | + | 6.98905i | −0.349577 | + | 0.305027i | ||||
\(526\) | −16.1647 | − | 14.0068i | −0.704814 | − | 0.610725i | ||||
\(527\) | −2.56413 | + | 8.73261i | −0.111695 | + | 0.380399i | ||||
\(528\) | 5.08236 | 0.221181 | ||||||||
\(529\) | −22.2516 | + | 5.81937i | −0.967462 | + | 0.253016i | ||||
\(530\) | 5.27859i | 0.229287i | ||||||||
\(531\) | −1.42880 | + | 4.86603i | −0.0620045 | + | 0.211168i | ||||
\(532\) | 16.1918 | − | 10.4850i | 0.702005 | − | 0.454581i | ||||
\(533\) | −2.14718 | − | 1.37991i | −0.0930046 | − | 0.0597704i | ||||
\(534\) | −0.930722 | − | 0.133818i | −0.0402763 | − | 0.00579085i | ||||
\(535\) | 8.14281 | + | 12.6705i | 0.352044 | + | 0.547792i | ||||
\(536\) | −1.49839 | + | 0.684290i | −0.0647204 | + | 0.0295568i | ||||
\(537\) | 6.33465 | − | 5.48900i | 0.273360 | − | 0.236868i | ||||
\(538\) | 26.1715 | − | 3.76289i | 1.12833 | − | 0.162230i | ||||
\(539\) | −19.4401 | − | 29.7954i | −0.837345 | − | 1.28338i | ||||
\(540\) | 0.279202 | + | 0.950874i | 0.0120149 | + | 0.0409191i | ||||
\(541\) | −25.6749 | + | 7.53883i | −1.10385 | + | 0.324120i | −0.782381 | − | 0.622800i | \(-0.785995\pi\) |
−0.321470 | + | 0.946920i | \(0.604177\pi\) | |||||||
\(542\) | 24.7401 | + | 11.2984i | 1.06268 | + | 0.485308i | ||||
\(543\) | 12.4110 | − | 1.78443i | 0.532607 | − | 0.0765773i | ||||
\(544\) | −0.924781 | − | 1.06725i | −0.0396497 | − | 0.0457582i | ||||
\(545\) | 14.8577 | − | 6.78529i | 0.636434 | − | 0.290650i | ||||
\(546\) | −1.48111 | + | 0.440447i | −0.0633855 | + | 0.0188494i | ||||
\(547\) | −3.60438 | + | 25.0690i | −0.154112 | + | 1.07187i | 0.755121 | + | 0.655586i | \(0.227578\pi\) |
−0.909233 | + | 0.416288i | \(0.863331\pi\) | |||||||
\(548\) | 7.16509 | − | 11.1491i | 0.306078 | − | 0.476266i | ||||
\(549\) | 5.18712 | − | 5.98626i | 0.221381 | − | 0.255487i | ||||
\(550\) | −5.75307 | + | 19.5932i | −0.245312 | + | 0.835455i | ||||
\(551\) | −15.3570 | −0.654232 | ||||||||
\(552\) | −4.75666 | + | 0.611708i | −0.202457 | + | 0.0260360i | ||||
\(553\) | −12.3846 | + | 42.7227i | −0.526647 | + | 1.81675i | ||||
\(554\) | −8.54275 | − | 2.50838i | −0.362947 | − | 0.106571i | ||||
\(555\) | 4.70396 | − | 5.42866i | 0.199672 | − | 0.230434i | ||||
\(556\) | 3.20905 | − | 4.99338i | 0.136094 | − | 0.211767i | ||||
\(557\) | −9.54185 | − | 1.37191i | −0.404301 | − | 0.0581297i | −0.0628353 | − | 0.998024i | \(-0.520014\pi\) |
−0.341466 | + | 0.939894i | \(0.610923\pi\) | |||||||
\(558\) | 3.48435 | + | 5.42175i | 0.147504 | + | 0.229521i | ||||
\(559\) | 1.82658 | + | 3.99966i | 0.0772563 | + | 0.169168i | ||||
\(560\) | 1.09743 | + | 2.38127i | 0.0463750 | + | 0.100627i | ||||
\(561\) | 1.02142 | + | 7.10415i | 0.0431245 | + | 0.299937i | ||||
\(562\) | −5.23120 | − | 2.38901i | −0.220665 | − | 0.100774i | ||||
\(563\) | 29.4005 | − | 8.63278i | 1.23908 | − | 0.363828i | 0.404413 | − | 0.914576i | \(-0.367476\pi\) |
0.834672 | + | 0.550748i | \(0.185658\pi\) | |||||||
\(564\) | 9.83236 | − | 2.88704i | 0.414017 | − | 0.121566i | ||||
\(565\) | −2.92944 | − | 1.33783i | −0.123243 | − | 0.0562830i | ||||
\(566\) | −0.631923 | − | 4.39512i | −0.0265617 | − | 0.184741i | ||||
\(567\) | 1.10738 | + | 2.40285i | 0.0465056 | + | 0.100910i | ||||
\(568\) | −2.42071 | − | 5.30061i | −0.101571 | − | 0.222409i | ||||
\(569\) | 2.22210 | + | 3.45765i | 0.0931551 | + | 0.144952i | 0.884703 | − | 0.466155i | \(-0.154361\pi\) |
−0.791548 | + | 0.611107i | \(0.790725\pi\) | |||||||
\(570\) | 7.15195 | + | 1.02830i | 0.299562 | + | 0.0430706i | ||||
\(571\) | −7.00466 | + | 10.8995i | −0.293136 | + | 0.456128i | −0.956317 | − | 0.292330i | \(-0.905569\pi\) |
0.663182 | + | 0.748458i | \(0.269206\pi\) | |||||||
\(572\) | −1.94380 | + | 2.24327i | −0.0812745 | + | 0.0937957i | ||||
\(573\) | 2.43397 | + | 0.714677i | 0.101680 | + | 0.0298561i | ||||
\(574\) | −3.21925 | + | 11.1053i | −0.134369 | + | 0.463527i | ||||
\(575\) | 3.02618 | − | 19.0300i | 0.126200 | − | 0.793605i | ||||
\(576\) | −1.00000 | −0.0416667 | ||||||||
\(577\) | −2.24631 | + | 7.65022i | −0.0935150 | + | 0.318483i | −0.992944 | − | 0.118584i | \(-0.962164\pi\) |
0.899429 | + | 0.437067i | \(0.143983\pi\) | |||||||
\(578\) | −9.82667 | + | 11.3406i | −0.408736 | + | 0.471706i | ||||
\(579\) | 9.85612 | − | 15.3364i | 0.409607 | − | 0.637360i | ||||
\(580\) | 0.297065 | − | 2.06613i | 0.0123350 | − | 0.0857916i | ||||
\(581\) | 43.0894 | − | 12.8138i | 1.78765 | − | 0.531606i | ||||
\(582\) | −1.38821 | + | 0.633975i | −0.0575433 | + | 0.0262791i | ||||
\(583\) | 17.7276 | + | 20.4588i | 0.734203 | + | 0.847316i | ||||
\(584\) | −0.840443 | + | 0.120838i | −0.0347778 | + | 0.00500029i | ||||
\(585\) | −0.526484 | − | 0.240437i | −0.0217674 | − | 0.00994085i | ||||
\(586\) | −14.2569 | + | 4.18622i | −0.588949 | + | 0.172931i | ||||
\(587\) | −7.15533 | − | 24.3688i | −0.295332 | − | 1.00581i | −0.964804 | − | 0.262971i | \(-0.915298\pi\) |
0.669471 | − | 0.742838i | \(-0.266521\pi\) | |||||||
\(588\) | 3.82502 | + | 5.86253i | 0.157741 | + | 0.241767i | ||||
\(589\) | 46.5110 | − | 6.68728i | 1.91645 | − | 0.275544i | ||||
\(590\) | −3.79833 | + | 3.29127i | −0.156375 | + | 0.135499i | ||||
\(591\) | 11.9757 | − | 5.46913i | 0.492616 | − | 0.224970i | ||||
\(592\) | 3.91870 | + | 6.09762i | 0.161058 | + | 0.250611i | ||||
\(593\) | −13.9525 | − | 2.00606i | −0.572959 | − | 0.0823790i | −0.150255 | − | 0.988647i | \(-0.548010\pi\) |
−0.422703 | + | 0.906268i | \(0.638919\pi\) | |||||||
\(594\) | 4.27555 | + | 2.74773i | 0.175428 | + | 0.112741i | ||||
\(595\) | −3.10800 | + | 2.01257i | −0.127415 | + | 0.0825074i | ||||
\(596\) | 6.00676 | − | 20.4572i | 0.246047 | − | 0.837958i | ||||
\(597\) | 19.0706i | 0.780508i | ||||||||
\(598\) | 1.54924 | − | 2.33347i | 0.0633531 | − | 0.0954225i | ||||
\(599\) | −31.7801 | −1.29850 | −0.649249 | − | 0.760576i | \(-0.724917\pi\) | ||||
−0.649249 | + | 0.760576i | \(0.724917\pi\) | |||||||
\(600\) | 1.13197 | − | 3.85513i | 0.0462124 | − | 0.157385i | ||||
\(601\) | −14.6936 | − | 12.7321i | −0.599366 | − | 0.519354i | 0.301491 | − | 0.953469i | \(-0.402516\pi\) |
−0.900857 | + | 0.434115i | \(0.857061\pi\) | |||||||
\(602\) | 15.0087 | − | 13.0960i | 0.611710 | − | 0.533755i | ||||
\(603\) | −1.63048 | − | 0.234427i | −0.0663982 | − | 0.00954662i | ||||
\(604\) | 1.24246 | − | 0.798478i | 0.0505548 | − | 0.0324896i | ||||
\(605\) | −6.10540 | − | 13.3690i | −0.248220 | − | 0.543526i | ||||
\(606\) | 8.17899 | + | 9.43906i | 0.332249 | + | 0.383435i | ||||
\(607\) | −0.139457 | + | 0.0200509i | −0.00566038 | + | 0.000813839i | −0.145144 | − | 0.989410i | \(-0.546365\pi\) |
0.139484 | + | 0.990224i | \(0.455456\pi\) | |||||||
\(608\) | −3.02879 | + | 6.63212i | −0.122834 | + | 0.268968i | ||||
\(609\) | −0.0192220 | − | 5.57272i | −0.000778914 | − | 0.225818i | ||||
\(610\) | 7.53183 | − | 2.21154i | 0.304955 | − | 0.0895428i | ||||
\(611\) | −2.48620 | + | 5.44402i | −0.100581 | + | 0.220242i | ||||
\(612\) | −0.200974 | − | 1.39781i | −0.00812390 | − | 0.0565030i | ||||
\(613\) | 27.8755 | − | 24.1542i | 1.12588 | − | 0.975581i | 0.126015 | − | 0.992028i | \(-0.459781\pi\) |
0.999865 | + | 0.0164476i | \(0.00523567\pi\) | |||||||
\(614\) | 10.4891 | − | 4.79020i | 0.423305 | − | 0.193317i | ||||
\(615\) | −3.64343 | + | 2.34149i | −0.146917 | + | 0.0944181i | ||||
\(616\) | 12.2507 | + | 5.54372i | 0.493595 | + | 0.223363i | ||||
\(617\) | −12.7817 | + | 19.8887i | −0.514570 | + | 0.800687i | −0.997172 | − | 0.0751528i | \(-0.976056\pi\) |
0.482602 | + | 0.875840i | \(0.339692\pi\) | |||||||
\(618\) | −5.79787 | − | 5.02388i | −0.233224 | − | 0.202090i | ||||
\(619\) | −32.3835 | − | 9.50864i | −1.30160 | − | 0.382185i | −0.443782 | − | 0.896135i | \(-0.646363\pi\) |
−0.857820 | + | 0.513950i | \(0.828182\pi\) | |||||||
\(620\) | 6.38695i | 0.256506i | ||||||||
\(621\) | −4.33227 | − | 2.05704i | −0.173848 | − | 0.0825463i | ||||
\(622\) | 10.4579i | 0.419322i | ||||||||
\(623\) | −2.09748 | − | 1.33777i | −0.0840338 | − | 0.0535966i | ||||
\(624\) | 0.382461 | − | 0.441383i | 0.0153107 | − | 0.0176695i | ||||
\(625\) | 9.44966 | + | 6.07293i | 0.377986 | + | 0.242917i | ||||
\(626\) | 4.71949 | − | 32.8247i | 0.188629 | − | 1.31194i | ||||
\(627\) | 31.1730 | − | 20.0337i | 1.24493 | − | 0.800068i | ||||
\(628\) | −0.0259048 | − | 0.0567236i | −0.00103371 | − | 0.00226352i | ||||
\(629\) | −7.73573 | + | 6.70305i | −0.308444 | + | 0.267268i | ||||
\(630\) | −0.364193 | + | 2.59657i | −0.0145098 | + | 0.103450i | ||||
\(631\) | 31.8173 | + | 14.5305i | 1.26662 | + | 0.578448i | 0.931505 | − | 0.363727i | \(-0.118496\pi\) |
0.335119 | + | 0.942176i | \(0.391223\pi\) | |||||||
\(632\) | −4.73661 | − | 16.1314i | −0.188412 | − | 0.641673i | ||||
\(633\) | 1.36309 | + | 4.64224i | 0.0541778 | + | 0.184513i | ||||
\(634\) | −1.27329 | + | 2.78812i | −0.0505689 | + | 0.110730i | ||||
\(635\) | −0.170498 | − | 1.18584i | −0.00676601 | − | 0.0470587i | ||||
\(636\) | −3.48807 | − | 4.02545i | −0.138311 | − | 0.159620i | ||||
\(637\) | −4.05054 | − | 0.553887i | −0.160488 | − | 0.0219458i | ||||
\(638\) | −5.78755 | − | 9.00560i | −0.229131 | − | 0.356535i | ||||
\(639\) | 0.829297 | − | 5.76789i | 0.0328065 | − | 0.228174i | ||||
\(640\) | −0.833696 | − | 0.535784i | −0.0329547 | − | 0.0211787i | ||||
\(641\) | −1.35292 | − | 1.17231i | −0.0534371 | − | 0.0463035i | 0.627733 | − | 0.778429i | \(-0.283983\pi\) |
−0.681170 | + | 0.732125i | \(0.738529\pi\) | |||||||
\(642\) | −14.5823 | − | 4.28175i | −0.575518 | − | 0.168987i | ||||
\(643\) | 15.2742 | 0.602357 | 0.301179 | − | 0.953568i | \(-0.402620\pi\) | ||||
0.301179 | + | 0.953568i | \(0.402620\pi\) | |||||||
\(644\) | −12.1329 | − | 3.71397i | −0.478102 | − | 0.146351i | ||||
\(645\) | 7.46106 | 0.293779 | ||||||||
\(646\) | −9.87913 | − | 2.90077i | −0.388689 | − | 0.114129i | ||||
\(647\) | −27.8878 | − | 24.1649i | −1.09638 | − | 0.950021i | −0.0974054 | − | 0.995245i | \(-0.531054\pi\) |
−0.998977 | + | 0.0452241i | \(0.985600\pi\) | |||||||
\(648\) | −0.841254 | − | 0.540641i | −0.0330476 | − | 0.0212384i | ||||
\(649\) | −3.66816 | + | 25.5126i | −0.143988 | + | 1.00146i | ||||
\(650\) | 1.26866 | + | 1.97407i | 0.0497609 | + | 0.0774294i | ||||
\(651\) | 2.48488 | + | 16.8694i | 0.0973900 | + | 0.661165i | ||||
\(652\) | −1.02362 | − | 1.18132i | −0.0400882 | − | 0.0462642i | ||||
\(653\) | −2.10263 | − | 14.6241i | −0.0822825 | − | 0.572287i | −0.988700 | − | 0.149905i | \(-0.952103\pi\) |
0.906418 | − | 0.422382i | \(-0.138806\pi\) | |||||||
\(654\) | −6.84679 | + | 14.9924i | −0.267731 | + | 0.586249i | ||||
\(655\) | 0.523613 | + | 1.78326i | 0.0204593 | + | 0.0696778i | ||||
\(656\) | −1.23123 | − | 4.19319i | −0.0480715 | − | 0.163717i | ||||
\(657\) | −0.772356 | − | 0.352723i | −0.0301325 | − | 0.0137610i | ||||
\(658\) | 26.8494 | + | 3.76588i | 1.04670 | + | 0.146809i | ||||
\(659\) | 16.8775 | − | 14.6244i | 0.657453 | − | 0.569686i | −0.260940 | − | 0.965355i | \(-0.584033\pi\) |
0.918393 | + | 0.395669i | \(0.129487\pi\) | |||||||
\(660\) | 2.09232 | + | 4.58154i | 0.0814435 | + | 0.178336i | ||||
\(661\) | 12.2518 | − | 7.87375i | 0.476540 | − | 0.306253i | −0.280233 | − | 0.959932i | \(-0.590412\pi\) |
0.756772 | + | 0.653679i | \(0.226775\pi\) | |||||||
\(662\) | −2.81734 | + | 19.5950i | −0.109499 | + | 0.761581i | ||||
\(663\) | 0.693833 | + | 0.445900i | 0.0269463 | + | 0.0173173i | ||||
\(664\) | −11.1268 | + | 12.8411i | −0.431805 | + | 0.498330i | ||||
\(665\) | 16.1177 | + | 10.2798i | 0.625017 | + | 0.398635i | ||||
\(666\) | 7.24825i | 0.280864i | ||||||||
\(667\) | 6.50057 | + | 7.73190i | 0.251703 | + | 0.299381i | ||||
\(668\) | 6.81515i | 0.263686i | ||||||||
\(669\) | 15.2499 | + | 4.47778i | 0.589595 | + | 0.173121i | ||||
\(670\) | −1.23372 | − | 1.06903i | −0.0476628 | − | 0.0413001i | ||||
\(671\) | 21.7646 | − | 33.8664i | 0.840214 | − | 1.30740i | ||||
\(672\) | −2.41044 | − | 1.09078i | −0.0929846 | − | 0.0420776i | ||||
\(673\) | −21.5909 | + | 13.8756i | −0.832266 | + | 0.534865i | −0.885997 | − | 0.463690i | \(-0.846525\pi\) |
0.0537309 | + | 0.998555i | \(0.482889\pi\) | |||||||
\(674\) | 15.3332 | − | 7.00243i | 0.590612 | − | 0.269723i | ||||
\(675\) | 3.03652 | − | 2.63116i | 0.116876 | − | 0.101273i | ||||
\(676\) | −1.80155 | − | 12.5301i | −0.0692904 | − | 0.481925i | ||||
\(677\) | 9.26537 | − | 20.2883i | 0.356097 | − | 0.779744i | −0.643797 | − | 0.765196i | \(-0.722642\pi\) |
0.999894 | − | 0.0145477i | \(-0.00463083\pi\) | |||||||
\(678\) | 3.11803 | − | 0.915535i | 0.119747 | − | 0.0351609i | ||||
\(679\) | −4.03772 | + | 0.0139273i | −0.154954 | + | 0.000534482i | ||||
\(680\) | 0.581371 | − | 1.27302i | 0.0222946 | − | 0.0488183i | ||||
\(681\) | 7.88027 | − | 1.13301i | 0.301973 | − | 0.0434171i | ||||
\(682\) | 21.4500 | + | 24.7546i | 0.821361 | + | 0.947901i | ||||
\(683\) | 8.92922 | + | 19.5523i | 0.341667 | + | 0.748146i | 0.999989 | − | 0.00458959i | \(-0.00146092\pi\) |
−0.658322 | + | 0.752736i | \(0.728734\pi\) | |||||||
\(684\) | −6.13357 | + | 3.94181i | −0.234523 | + | 0.150719i | ||||
\(685\) | 13.0002 | + | 1.86915i | 0.496713 | + | 0.0714166i | ||||
\(686\) | 2.82526 | + | 18.3035i | 0.107869 | + | 0.698831i | ||||
\(687\) | 10.3576 | + | 8.97491i | 0.395167 | + | 0.342414i | ||||
\(688\) | −2.12108 | + | 7.22372i | −0.0808653 | + | 0.275402i | ||||
\(689\) | 3.11082 | 0.118513 | ||||||||
\(690\) | −2.50967 | − | 4.03611i | −0.0955414 | − | 0.153652i | ||||
\(691\) | 12.3827i | 0.471058i | 0.971867 | + | 0.235529i | \(0.0756823\pi\) | ||||
−0.971867 | + | 0.235529i | \(0.924318\pi\) | |||||||
\(692\) | 4.87713 | − | 16.6100i | 0.185401 | − | 0.631416i | ||||
\(693\) | 7.30878 | + | 11.2869i | 0.277638 | + | 0.428754i | ||||
\(694\) | −16.9797 | − | 10.9122i | −0.644539 | − | 0.414220i | ||||
\(695\) | 5.82245 | + | 0.837142i | 0.220858 | + | 0.0317546i | ||||
\(696\) | 1.13875 | + | 1.77193i | 0.0431643 | + | 0.0671650i | ||||
\(697\) | 5.61382 | − | 2.56375i | 0.212639 | − | 0.0971089i | ||||
\(698\) | −15.4069 | + | 13.3502i | −0.583160 | + | 0.505311i | ||||
\(699\) | −21.3242 | + | 3.06596i | −0.806556 | + | 0.115965i | ||||
\(700\) | 6.93363 | − | 8.05783i | 0.262067 | − | 0.304557i | ||||
\(701\) | 4.26269 | + | 14.5174i | 0.160999 | + | 0.548314i | 0.999991 | + | 0.00416985i | \(0.00132731\pi\) |
−0.838992 | + | 0.544144i | \(0.816855\pi\) | |||||||
\(702\) | 0.560377 | − | 0.164541i | 0.0211501 | − | 0.00621022i | ||||
\(703\) | 48.0713 | + | 21.9534i | 1.81304 | + | 0.827989i | ||||
\(704\) | −5.03062 | + | 0.723295i | −0.189599 | + | 0.0272602i | ||||
\(705\) | 6.65038 | + | 7.67494i | 0.250468 | + | 0.289055i | ||||
\(706\) | 16.1334 | − | 7.36789i | 0.607190 | − | 0.277294i | ||||
\(707\) | 9.41903 | + | 31.6737i | 0.354239 | + | 1.19121i | ||||
\(708\) | 0.721744 | − | 5.01984i | 0.0271248 | − | 0.188657i | ||||
\(709\) | −5.31246 | + | 8.26635i | −0.199514 | + | 0.310449i | −0.926566 | − | 0.376133i | \(-0.877254\pi\) |
0.727052 | + | 0.686582i | \(0.240890\pi\) | |||||||
\(710\) | 3.78173 | − | 4.36434i | 0.141926 | − | 0.163791i | ||||
\(711\) | 4.73661 | − | 16.1314i | 0.177637 | − | 0.604975i | ||||
\(712\) | 0.940292 | 0.0352389 | ||||||||
\(713\) | −23.0548 | − | 20.5865i | −0.863409 | − | 0.770971i | ||||
\(714\) | 1.04026 | − | 3.58854i | 0.0389307 | − | 0.134298i | ||||
\(715\) | −2.82245 | − | 0.828746i | −0.105554 | − | 0.0309933i | ||||
\(716\) | −5.48900 | + | 6.33465i | −0.205134 | + | 0.236737i | ||||
\(717\) | 3.79384 | − | 5.90333i | 0.141684 | − | 0.220464i | ||||
\(718\) | 29.0109 | + | 4.17114i | 1.08268 | + | 0.155665i | ||||
\(719\) | 10.8353 | + | 16.8600i | 0.404088 | + | 0.628773i | 0.982344 | − | 0.187082i | \(-0.0599031\pi\) |
−0.578257 | + | 0.815855i | \(0.696267\pi\) | |||||||
\(720\) | −0.411683 | − | 0.901461i | −0.0153425 | − | 0.0335955i | ||||
\(721\) | −8.49546 | − | 18.4339i | −0.316387 | − | 0.686515i | ||||
\(722\) | 4.86128 | + | 33.8109i | 0.180918 | + | 1.25831i | ||||
\(723\) | −25.6001 | − | 11.6912i | −0.952076 | − | 0.434799i | ||||
\(724\) | −12.0307 | + | 3.53254i | −0.447118 | + | 0.131286i | ||||
\(725\) | −8.12007 | + | 2.38427i | −0.301572 | + | 0.0885495i | ||||
\(726\) | 13.4902 | + | 6.16075i | 0.500666 | + | 0.228647i | ||||
\(727\) | 0.0652128 | + | 0.453565i | 0.00241861 | + | 0.0168218i | 0.990995 | − | 0.133899i | \(-0.0427497\pi\) |
−0.988576 | + | 0.150721i | \(0.951841\pi\) | |||||||
\(728\) | 1.40335 | − | 0.646747i | 0.0520116 | − | 0.0239701i | ||||
\(729\) | −0.415415 | − | 0.909632i | −0.0153857 | − | 0.0336901i | ||||
\(730\) | −0.454927 | − | 0.707880i | −0.0168376 | − | 0.0261998i | ||||
\(731\) | −10.5236 | − | 1.51307i | −0.389231 | − | 0.0559630i | ||||
\(732\) | −4.28239 | + | 6.66353i | −0.158282 | + | 0.246291i | ||||
\(733\) | −30.3010 | + | 34.9692i | −1.11919 | + | 1.29162i | −0.167053 | + | 0.985948i | \(0.553425\pi\) |
−0.952138 | + | 0.305668i | \(0.901120\pi\) | |||||||
\(734\) | 24.5732 | + | 7.21534i | 0.907013 | + | 0.266323i | ||||
\(735\) | −3.71014 | + | 5.86161i | −0.136851 | + | 0.216209i | ||||
\(736\) | 4.62119 | − | 1.28242i | 0.170339 | − | 0.0472708i | ||||
\(737\) | −8.37188 | −0.308382 | ||||||||
\(738\) | 1.23123 | − | 4.19319i | 0.0453223 | − | 0.154354i | ||||
\(739\) | 25.7909 | − | 29.7643i | 0.948734 | − | 1.09490i | −0.0466483 | − | 0.998911i | \(-0.514854\pi\) |
0.995383 | − | 0.0959864i | \(-0.0306005\pi\) | |||||||
\(740\) | −3.88350 | + | 6.04284i | −0.142760 | + | 0.222139i | ||||
\(741\) | 0.606003 | − | 4.21485i | 0.0222621 | − | 0.154836i | ||||
\(742\) | −4.01691 | − | 13.5078i | −0.147465 | − | 0.495887i | ||||
\(743\) | −16.2971 | + | 7.44261i | −0.597881 | + | 0.273043i | −0.691281 | − | 0.722586i | \(-0.742954\pi\) |
0.0934006 | + | 0.995629i | \(0.470226\pi\) | |||||||
\(744\) | −4.22047 | − | 4.87069i | −0.154730 | − | 0.178568i | ||||
\(745\) | 20.9142 | − | 3.00701i | 0.766237 | − | 0.110168i | ||||
\(746\) | −3.28288 | − | 1.49924i | −0.120195 | − | 0.0548912i | ||||
\(747\) | −16.3029 | + | 4.78696i | −0.596492 | + | 0.175146i | ||||
\(748\) | −2.02205 | − | 6.88647i | −0.0739335 | − | 0.251794i | ||||
\(749\) | −30.4793 | − | 26.2269i | −1.11369 | − | 0.958311i | ||||
\(750\) | 8.84591 | − | 1.27185i | 0.323007 | − | 0.0464414i | ||||
\(751\) | −8.22625 | + | 7.12809i | −0.300180 | + | 0.260108i | −0.791907 | − | 0.610642i | \(-0.790911\pi\) |
0.491727 | + | 0.870750i | \(0.336366\pi\) | |||||||
\(752\) | −9.32142 | + | 4.25695i | −0.339917 | + | 0.155235i | ||||
\(753\) | 4.38921 | + | 6.82975i | 0.159952 | + | 0.248890i | ||||
\(754\) | −1.21763 | − | 0.175069i | −0.0443435 | − | 0.00637563i | ||||
\(755\) | 1.23129 | + | 0.791305i | 0.0448114 | + | 0.0287985i | ||||
\(756\) | −1.43807 | − | 2.22080i | −0.0523021 | − | 0.0807697i | ||||
\(757\) | 4.42908 | − | 15.0840i | 0.160977 | − | 0.548239i | −0.839014 | − | 0.544110i | \(-0.816867\pi\) |
0.999991 | − | 0.00412914i | \(-0.00131435\pi\) | |||||||
\(758\) | − | 20.9364i | − | 0.760443i | ||||||
\(759\) | −23.2819 | − | 7.21470i | −0.845079 | − | 0.261877i | ||||
\(760\) | −7.22550 | −0.262096 | ||||||||
\(761\) | 4.90444 | − | 16.7030i | 0.177786 | − | 0.605483i | −0.821587 | − | 0.570083i | \(-0.806911\pi\) |
0.999373 | − | 0.0354006i | \(-0.0112707\pi\) | |||||||
\(762\) | 0.913622 | + | 0.791658i | 0.0330970 | + | 0.0286787i | ||||
\(763\) | −32.8571 | + | 28.6699i | −1.18951 | + | 1.03792i | ||||
\(764\) | −2.51090 | − | 0.361013i | −0.0908413 | − | 0.0130610i | ||||
\(765\) | 1.17733 | − | 0.756624i | 0.0425664 | − | 0.0273558i | ||||
\(766\) | 5.64091 | + | 12.3519i | 0.203815 | + | 0.446292i | ||||
\(767\) | 1.93964 | + | 2.23846i | 0.0700362 | + | 0.0808261i | ||||
\(768\) | 0.989821 | − | 0.142315i | 0.0357171 | − | 0.00513534i | ||||
\(769\) | −13.6236 | + | 29.8315i | −0.491279 | + | 1.07575i | 0.487927 | + | 0.872884i | \(0.337753\pi\) |
−0.979206 | + | 0.202867i | \(0.934974\pi\) | |||||||
\(770\) | 0.0459646 | + | 13.3258i | 0.00165645 | + | 0.480228i | ||||
\(771\) | −12.6196 | + | 3.70546i | −0.454485 | + | 0.133449i | ||||
\(772\) | −7.57320 | + | 16.5830i | −0.272565 | + | 0.596835i | ||||
\(773\) | −3.03338 | − | 21.0976i | −0.109103 | − | 0.758828i | −0.968768 | − | 0.247969i | \(-0.920237\pi\) |
0.859665 | − | 0.510858i | \(-0.170672\pi\) | |||||||
\(774\) | −5.68980 | + | 4.93024i | −0.204516 | + | 0.177214i | ||||
\(775\) | 23.5546 | − | 10.7570i | 0.846106 | − | 0.386404i | ||||
\(776\) | 1.28386 | − | 0.825086i | 0.0460878 | − | 0.0296188i | ||||
\(777\) | −7.90623 | + | 17.4715i | −0.283634 | + | 0.626785i | ||||
\(778\) | 8.06530 | − | 12.5499i | 0.289155 | − | 0.449934i | ||||
\(779\) | −24.0806 | − | 20.8660i | −0.862778 | − | 0.747601i | ||||
\(780\) | 0.555343 | + | 0.163063i | 0.0198845 | + | 0.00583860i | ||||
\(781\) | − | 29.6159i | − | 1.05974i | ||||||
\(782\) | 2.72132 | + | 6.20179i | 0.0973142 | + | 0.221776i | ||||
\(783\) | 2.10630i | 0.0752731i | ||||||||
\(784\) | −4.62041 | − | 5.25850i | −0.165015 | − | 0.187804i | ||||
\(785\) | 0.0404696 | − | 0.0467044i | 0.00144442 | − | 0.00166695i | ||||
\(786\) | −1.57768 | − | 1.01391i | −0.0562740 | − | 0.0361651i | ||||
\(787\) | 4.10521 | − | 28.5524i | 0.146335 | − | 1.01778i | −0.775818 | − | 0.630957i | \(-0.782663\pi\) |
0.922153 | − | 0.386825i | \(-0.126428\pi\) | |||||||
\(788\) | −11.0755 | + | 7.11779i | −0.394548 | + | 0.253561i | ||||
\(789\) | 8.88530 | + | 19.4561i | 0.316325 | + | 0.692655i | ||||
\(790\) | 12.5919 | − | 10.9109i | 0.447998 | − | 0.388193i | ||||
\(791\) | 8.51445 | + | 1.19423i | 0.302739 | + | 0.0424620i | ||||
\(792\) | −4.62307 | − | 2.11129i | −0.164274 | − | 0.0750213i | ||||
\(793\) | −1.30332 | − | 4.43872i | −0.0462824 | − | 0.157623i | ||||
\(794\) | 1.54139 | + | 5.24948i | 0.0547018 | + | 0.186297i | ||||
\(795\) | 2.19280 | − | 4.80157i | 0.0777708 | − | 0.170294i | ||||
\(796\) | −2.71403 | − | 18.8765i | −0.0961962 | − | 0.669059i | ||||
\(797\) | −27.4317 | − | 31.6579i | −0.971681 | − | 1.12138i | −0.992579 | − | 0.121598i | \(-0.961198\pi\) |
0.0208987 | − | 0.999782i | \(-0.493347\pi\) | |||||||
\(798\) | −19.0842 | + | 2.81112i | −0.675574 | + | 0.0995125i | ||||
\(799\) | −7.82375 | − | 12.1740i | −0.276784 | − | 0.430685i | ||||
\(800\) | −0.571805 | + | 3.97699i | −0.0202163 | + | 0.140608i | ||||
\(801\) | 0.791024 | + | 0.508360i | 0.0279495 | + | 0.0179620i | ||||
\(802\) | 24.9089 | + | 21.5837i | 0.879563 | + | 0.762146i | ||||
\(803\) | −4.14055 | − | 1.21578i | −0.146117 | − | 0.0429038i | ||||
\(804\) | 1.64724 | 0.0580938 | ||||||||
\(805\) | −1.64690 | − | 12.4663i | −0.0580455 | − | 0.439379i | ||||
\(806\) | 3.76401 | 0.132582 | ||||||||
\(807\) | −25.3696 | − | 7.44919i | −0.893052 | − | 0.262224i | ||||
\(808\) | −9.43906 | − | 8.17899i | −0.332065 | − | 0.287736i | ||||
\(809\) | −36.2849 | − | 23.3189i | −1.27571 | − | 0.819848i | −0.285356 | − | 0.958421i | \(-0.592112\pi\) |
−0.990352 | + | 0.138573i | \(0.955748\pi\) | |||||||
\(810\) | 0.141036 | − | 0.980930i | 0.00495551 | − | 0.0344664i | ||||
\(811\) | 3.52690 | + | 5.48796i | 0.123846 | + | 0.192708i | 0.897640 | − | 0.440729i | \(-0.145280\pi\) |
−0.773794 | + | 0.633437i | \(0.781644\pi\) | |||||||
\(812\) | 0.812107 | + | 5.51326i | 0.0284994 | + | 0.193478i | ||||
\(813\) | −17.8108 | − | 20.5548i | −0.624653 | − | 0.720888i | ||||
\(814\) | 5.24262 | + | 36.4632i | 0.183754 | + | 1.27804i | ||||
\(815\) | 0.643509 | − | 1.40909i | 0.0225411 | − | 0.0493582i | ||||
\(816\) | 0.397857 | + | 1.35498i | 0.0139278 | + | 0.0474337i | ||||
\(817\) | 15.4648 | + | 52.6681i | 0.541043 | + | 1.84262i | ||||
\(818\) | −35.2245 | − | 16.0865i | −1.23160 | − | 0.562451i | ||||
\(819\) | 1.53023 | + | 0.214629i | 0.0534706 | + | 0.00749975i | ||||
\(820\) | 3.27312 | − | 2.83617i | 0.114302 | − | 0.0990435i | ||||
\(821\) | 13.8160 | + | 30.2529i | 0.482182 | + | 1.05583i | 0.981858 | + | 0.189619i | \(0.0607254\pi\) |
−0.499675 | + | 0.866213i | \(0.666547\pi\) | |||||||
\(822\) | −11.1491 | + | 7.16509i | −0.388870 | + | 0.249911i | ||||
\(823\) | 7.14578 | − | 49.7000i | 0.249086 | − | 1.73243i | −0.354429 | − | 0.935083i | \(-0.615325\pi\) |
0.603516 | − | 0.797351i | \(-0.293766\pi\) | |||||||
\(824\) | 6.45383 | + | 4.14762i | 0.224830 | + | 0.144489i | ||||
\(825\) | 13.3725 | − | 15.4327i | 0.465570 | − | 0.537296i | ||||
\(826\) | 7.21525 | − | 11.3128i | 0.251051 | − | 0.393621i | ||||
\(827\) | − | 20.4245i | − | 0.710230i | −0.934823 | − | 0.355115i | \(-0.884442\pi\) | ||
0.934823 | − | 0.355115i | \(-0.115558\pi\) | |||||||
\(828\) | 4.58092 | + | 1.41956i | 0.159198 | + | 0.0493331i | ||||
\(829\) | − | 17.2144i | − | 0.597881i | −0.954272 | − | 0.298940i | \(-0.903367\pi\) | ||
0.954272 | − | 0.298940i | \(-0.0966332\pi\) | |||||||
\(830\) | −16.1564 | − | 4.74396i | −0.560798 | − | 0.164665i | ||||
\(831\) | 6.72874 | + | 5.83049i | 0.233417 | + | 0.202257i | ||||
\(832\) | −0.315753 | + | 0.491321i | −0.0109468 | + | 0.0170335i | ||||
\(833\) | 6.42178 | − | 7.51526i | 0.222501 | − | 0.260388i | ||||
\(834\) | −4.99338 | + | 3.20905i | −0.172907 | + | 0.111120i | ||||
\(835\) | −6.14359 | + | 2.80568i | −0.212608 | + | 0.0970947i | ||||
\(836\) | −28.0046 | + | 24.2661i | −0.968560 | + | 0.839262i | ||||
\(837\) | −0.917197 | − | 6.37924i | −0.0317030 | − | 0.220499i | ||||
\(838\) | −7.15777 | + | 15.6733i | −0.247261 | + | 0.541426i | ||||
\(839\) | 5.45843 | − | 1.60274i | 0.188446 | − | 0.0553327i | −0.186148 | − | 0.982522i | \(-0.559600\pi\) |
0.374594 | + | 0.927189i | \(0.377782\pi\) | |||||||
\(840\) | −0.00904396 | − | 2.62197i | −0.000312046 | − | 0.0904665i | ||||
\(841\) | −10.2040 | + | 22.3437i | −0.351864 | + | 0.770474i | ||||
\(842\) | 40.0324 | − | 5.75580i | 1.37961 | − | 0.198358i | ||||
\(843\) | 3.76604 | + | 4.34624i | 0.129709 | + | 0.149692i | ||||
\(844\) | −2.00987 | − | 4.40100i | −0.0691826 | − | 0.151489i | ||||
\(845\) | 10.5537 | − | 6.78244i | 0.363058 | − | 0.233323i | ||||
\(846\) | −10.1432 | − | 1.45837i | −0.348729 | − | 0.0501396i | ||||
\(847\) | 25.7972 | + | 29.5648i | 0.886401 | + | 1.01586i | ||||
\(848\) | 4.02545 | + | 3.48807i | 0.138235 | + | 0.119781i | ||||
\(849\) | −1.25098 | + | 4.26045i | −0.0429336 | + | 0.146218i | ||||
\(850\) | −5.67398 | −0.194616 | ||||||||
\(851\) | −9.29534 | − | 33.4956i | −0.318640 | − | 1.14821i | ||||
\(852\) | 5.82720i | 0.199637i | ||||||||
\(853\) | −4.15327 | + | 14.1447i | −0.142205 | + | 0.484307i | −0.999536 | − | 0.0304592i | \(-0.990303\pi\) |
0.857331 | + | 0.514766i | \(0.172121\pi\) | |||||||
\(854\) | −17.5909 | + | 11.3909i | −0.601947 | + | 0.389788i | ||||
\(855\) | −6.07848 | − | 3.90640i | −0.207880 | − | 0.133596i | ||||
\(856\) | 15.0432 | + | 2.16289i | 0.514167 | + | 0.0739261i | ||||
\(857\) | 2.39442 | + | 3.72580i | 0.0817920 | + | 0.127271i | 0.879739 | − | 0.475456i | \(-0.157717\pi\) |
−0.797947 | + | 0.602727i | \(0.794081\pi\) | |||||||
\(858\) | 2.70003 | − | 1.23306i | 0.0921776 | − | 0.0420961i | ||||
\(859\) | 13.9001 | − | 12.0445i | 0.474265 | − | 0.410953i | −0.384657 | − | 0.923060i | \(-0.625680\pi\) |
0.858922 | + | 0.512107i | \(0.171135\pi\) | |||||||
\(860\) | −7.38511 | + | 1.06182i | −0.251830 | + | 0.0362077i | ||||
\(861\) | 7.54164 | − | 8.76442i | 0.257019 | − | 0.298691i | ||||
\(862\) | 11.1915 | + | 38.1147i | 0.381184 | + | 1.29819i | ||||
\(863\) | 25.8410 | − | 7.58759i | 0.879636 | − | 0.258285i | 0.189427 | − | 0.981895i | \(-0.439337\pi\) |
0.690209 | + | 0.723610i | \(0.257519\pi\) | |||||||
\(864\) | 0.909632 | + | 0.415415i | 0.0309463 | + | 0.0141327i | ||||
\(865\) | 16.9811 | − | 2.44151i | 0.577374 | − | 0.0830138i | ||||
\(866\) | 6.90652 | + | 7.97054i | 0.234693 | + | 0.270850i | ||||
\(867\) | 13.6497 | − | 6.23361i | 0.463568 | − | 0.211705i | ||||
\(868\) | −4.86035 | − | 16.3441i | −0.164971 | − | 0.554754i | ||||
\(869\) | 12.1603 | − | 84.5771i | 0.412511 | − | 2.86908i | ||||
\(870\) | −1.12852 | + | 1.75602i | −0.0382605 | + | 0.0595345i | ||||
\(871\) | −0.630007 | + | 0.727066i | −0.0213470 | + | 0.0246357i | ||||
\(872\) | 4.64346 | − | 15.8142i | 0.157248 | − | 0.535536i | ||||
\(873\) | 1.52613 | 0.0516515 | ||||||||
\(874\) | 23.2893 | − | 26.0817i | 0.787773 | − | 0.882226i | ||||
\(875\) | 22.7098 | + | 6.58320i | 0.767732 | + | 0.222553i | ||||
\(876\) | 0.814692 | + | 0.239215i | 0.0275259 | + | 0.00808233i | ||||
\(877\) | 3.47446 | − | 4.00975i | 0.117324 | − | 0.135400i | −0.694049 | − | 0.719928i | \(-0.744175\pi\) |
0.811373 | + | 0.584528i | \(0.198720\pi\) | |||||||
\(878\) | 12.9709 | − | 20.1831i | 0.437747 | − | 0.681147i | ||||
\(879\) | 14.7076 | + | 2.11463i | 0.496075 | + | 0.0713248i | ||||
\(880\) | −2.72305 | − | 4.23714i | −0.0917939 | − | 0.142834i | ||||
\(881\) | −0.763533 | − | 1.67191i | −0.0257241 | − | 0.0563279i | 0.896334 | − | 0.443380i | \(-0.146221\pi\) |
−0.922058 | + | 0.387052i | \(0.873493\pi\) | |||||||
\(882\) | −1.04398 | − | 6.92171i | −0.0351526 | − | 0.233066i | ||||
\(883\) | −0.754064 | − | 5.24463i | −0.0253763 | − | 0.176496i | 0.973192 | − | 0.229996i | \(-0.0738713\pi\) |
−0.998568 | + | 0.0535002i | \(0.982962\pi\) | |||||||
\(884\) | −0.750229 | − | 0.342618i | −0.0252329 | − | 0.0115235i | ||||
\(885\) | 4.82232 | − | 1.41596i | 0.162101 | − | 0.0475970i | ||||
\(886\) | 5.68504 | − | 1.66928i | 0.190993 | − | 0.0560805i | ||||
\(887\) | 12.6602 | + | 5.78171i | 0.425087 | + | 0.194131i | 0.616459 | − | 0.787387i | \(-0.288566\pi\) |
−0.191372 | + | 0.981518i | \(0.561294\pi\) | |||||||
\(888\) | −1.03153 | − | 7.17448i | −0.0346160 | − | 0.240760i | ||||
\(889\) | 1.33871 | + | 2.90480i | 0.0448987 | + | 0.0974238i | ||||
\(890\) | 0.387103 | + | 0.847637i | 0.0129757 | + | 0.0284128i | ||||
\(891\) | −2.74773 | − | 4.27555i | −0.0920524 | − | 0.143236i | ||||
\(892\) | −15.7319 | − | 2.26191i | −0.526744 | − | 0.0757344i | ||||
\(893\) | −40.3935 | + | 62.8536i | −1.35172 | + | 2.10331i | ||||
\(894\) | −13.9622 | + | 16.1132i | −0.466964 | + | 0.538906i | ||||
\(895\) | −7.97017 | − | 2.34025i | −0.266413 | − | 0.0782260i | ||||
\(896\) | 2.54114 | + | 0.736634i | 0.0848934 | + | 0.0246092i | ||||
\(897\) | −2.37859 | + | 1.47902i | −0.0794189 | + | 0.0493830i | ||||
\(898\) | −37.5840 | −1.25419 | ||||||||
\(899\) | −3.82446 | + | 13.0249i | −0.127553 | + | 0.434405i | ||||
\(900\) | −2.63116 | + | 3.03652i | −0.0877052 | + | 0.101217i | ||||
\(901\) | −4.06664 | + | 6.32781i | −0.135479 | + | 0.210810i | ||||
\(902\) | 3.16095 | − | 21.9849i | 0.105248 | − | 0.732018i | ||||
\(903\) | −19.0927 | + | 5.67773i | −0.635365 | + | 0.188943i | ||||
\(904\) | −2.95600 | + | 1.34996i | −0.0983150 | + | 0.0448989i | ||||
\(905\) | −8.13729 | − | 9.39094i | −0.270493 | − | 0.312165i | ||||
\(906\) | −1.46188 | + | 0.210186i | −0.0485676 | + | 0.00698297i | ||||
\(907\) | −48.5320 | − | 22.1638i | −1.61148 | − | 0.735938i | −0.612948 | − | 0.790124i | \(-0.710016\pi\) |
−0.998531 | + | 0.0541860i | \(0.982744\pi\) | |||||||
\(908\) | −7.63882 | + | 2.24296i | −0.253503 | + | 0.0744352i | ||||
\(909\) | −3.51874 | − | 11.9837i | −0.116709 | − | 0.397476i | ||||
\(910\) | 1.16075 | + | 0.998809i | 0.0384786 | + | 0.0331102i | ||||
\(911\) | −30.5101 | + | 4.38669i | −1.01084 | + | 0.145337i | −0.627785 | − | 0.778387i | \(-0.716038\pi\) |
−0.383059 | + | 0.923724i | \(0.625129\pi\) | |||||||
\(912\) | 5.51017 | − | 4.77459i | 0.182460 | − | 0.158102i | ||||
\(913\) | −78.5513 | + | 35.8732i | −2.59967 | + | 1.18723i | ||||
\(914\) | −12.0084 | − | 18.6855i | −0.397203 | − | 0.618060i | ||||
\(915\) | −7.76990 | − | 1.11714i | −0.256865 | − | 0.0369316i | ||||
\(916\) | −11.5294 | − | 7.40952i | −0.380943 | − | 0.244817i | ||||
\(917\) | −2.69695 | − | 4.16488i | −0.0890611 | − | 0.137536i | ||||
\(918\) | −0.397857 | + | 1.35498i | −0.0131312 | + | 0.0447209i | ||||
\(919\) | − | 45.9512i | − | 1.51579i | −0.652375 | − | 0.757896i | \(-0.726227\pi\) | ||
0.652375 | − | 0.757896i | \(-0.273773\pi\) | |||||||
\(920\) | 3.05852 | + | 3.63787i | 0.100836 | + | 0.119937i | ||||
\(921\) | −11.5311 | −0.379964 | ||||||||
\(922\) | −0.292243 | + | 0.995290i | −0.00962453 | + | 0.0327781i | ||||
\(923\) | −2.57203 | − | 2.22868i | −0.0846594 | − | 0.0733578i | ||||
\(924\) | −8.84068 | − | 10.1319i | −0.290837 | − | 0.333314i | ||||
\(925\) | 28.8262 | + | 4.14459i | 0.947801 | + | 0.136273i | ||||
\(926\) | 1.00312 | − | 0.644663i | 0.0329644 | − | 0.0211849i | ||||
\(927\) | 3.18693 | + | 6.97840i | 0.104673 | + | 0.229201i | ||||
\(928\) | −1.37933 | − | 1.59184i | −0.0452789 | − | 0.0522546i | ||||
\(929\) | 37.4904 | − | 5.39031i | 1.23002 | − | 0.176850i | 0.503500 | − | 0.863995i | \(-0.332045\pi\) |
0.726520 | + | 0.687145i | \(0.241136\pi\) | |||||||
\(930\) | 2.65323 | − | 5.80977i | 0.0870030 | − | 0.190510i | ||||
\(931\) | −49.0676 | − | 14.0406i | −1.60813 | − | 0.460163i | ||||
\(932\) | 20.6708 | − | 6.06951i | 0.677096 | − | 0.198813i | ||||
\(933\) | 4.34435 | − | 9.51280i | 0.142228 | − | 0.311435i | ||||
\(934\) | −2.71226 | − | 18.8642i | −0.0887479 | − | 0.617255i | ||||
\(935\) | 5.37544 | − | 4.65785i | 0.175796 | − | 0.152328i | ||||
\(936\) | −0.531256 | + | 0.242617i | −0.0173646 | + | 0.00793017i | ||||
\(937\) | 28.8306 | − | 18.5283i | 0.941856 | − | 0.605294i | 0.0229353 | − | 0.999737i | \(-0.492699\pi\) |
0.918920 | + | 0.394443i | \(0.129062\pi\) | |||||||
\(938\) | 3.97058 | + | 1.79678i | 0.129644 | + | 0.0586668i | ||||
\(939\) | −17.9289 | + | 27.8979i | −0.585087 | + | 0.910413i | ||||
\(940\) | −7.67494 | − | 6.65038i | −0.250329 | − | 0.216911i | ||||
\(941\) | 36.2812 | + | 10.6531i | 1.18273 | + | 0.347282i | 0.813227 | − | 0.581946i | \(-0.197709\pi\) |
0.369507 | + | 0.929228i | \(0.379527\pi\) | |||||||
\(942\) | 0.0623589i | 0.00203176i | ||||||||
\(943\) | −0.312303 | + | 20.9565i | −0.0101700 | + | 0.682437i | ||||
\(944\) | 5.07146i | 0.165062i | ||||||||
\(945\) | 1.40994 | − | 2.21063i | 0.0458652 | − | 0.0719118i | ||||
\(946\) | −25.0572 | + | 28.9176i | −0.814681 | + | 0.940192i | ||||
\(947\) | −5.51505 | − | 3.54431i | −0.179215 | − | 0.115175i | 0.447957 | − | 0.894055i | \(-0.352152\pi\) |
−0.627173 | + | 0.778880i | \(0.715788\pi\) | |||||||
\(948\) | −2.39266 | + | 16.6413i | −0.0777100 | + | 0.540485i | ||||
\(949\) | −0.417173 | + | 0.268101i | −0.0135420 | + | 0.00870293i | ||||
\(950\) | 12.1693 | + | 26.6471i | 0.394825 | + | 0.864546i | ||||
\(951\) | 2.31646 | − | 2.00722i | 0.0751162 | − | 0.0650886i | ||||
\(952\) | −0.518968 | + | 3.70006i | −0.0168199 | + | 0.119920i | ||||
\(953\) | −52.5827 | − | 24.0137i | −1.70332 | − | 0.777880i | −0.997589 | − | 0.0694000i | \(-0.977892\pi\) |
−0.705731 | − | 0.708480i | \(-0.749381\pi\) | |||||||
\(954\) | 1.50063 | + | 5.11068i | 0.0485847 | + | 0.165464i | ||||
\(955\) | −0.708257 | − | 2.41210i | −0.0229187 | − | 0.0780538i | ||||
\(956\) | −2.91509 | + | 6.38316i | −0.0942808 | + | 0.206446i | ||||
\(957\) | 1.52348 | + | 10.5960i | 0.0492470 | + | 0.342521i | ||||
\(958\) | −27.5730 | − | 31.8209i | −0.890842 | − | 1.02809i | ||||
\(959\) | −34.6897 | + | 5.10982i | −1.12019 | + | 0.165005i | ||||
\(960\) | 0.535784 | + | 0.833696i | 0.0172924 | + | 0.0269074i | ||||
\(961\) | 1.49943 | − | 10.4288i | 0.0483687 | − | 0.336412i | ||||
\(962\) | 3.56122 | + | 2.28866i | 0.114818 | + | 0.0737892i | ||||
\(963\) | 11.4858 | + | 9.95253i | 0.370126 | + | 0.320716i | ||||
\(964\) | 27.0033 | + | 7.92889i | 0.869718 | + | 0.255372i | ||||
\(965\) | −18.0667 | −0.581587 | ||||||||
\(966\) | 9.49360 | + | 8.41852i | 0.305452 | + | 0.270862i | ||||
\(967\) | −3.98024 | −0.127996 | −0.0639980 | − | 0.997950i | \(-0.520385\pi\) | ||||
−0.0639980 | + | 0.997950i | \(0.520385\pi\) | |||||||
\(968\) | −14.2296 | − | 4.17819i | −0.457357 | − | 0.134292i | ||||
\(969\) | 7.78135 | + | 6.74258i | 0.249973 | + | 0.216603i | ||||
\(970\) | 1.27233 | + | 0.817674i | 0.0408519 | + | 0.0262539i | ||||
\(971\) | 1.08450 | − | 7.54284i | 0.0348032 | − | 0.242061i | −0.964992 | − | 0.262278i | \(-0.915526\pi\) |
0.999796 | + | 0.0202163i | \(0.00643549\pi\) | |||||||
\(972\) | 0.540641 | + | 0.841254i | 0.0173411 | + | 0.0269832i | ||||
\(973\) | −15.5366 | + | 2.28855i | −0.498080 | + | 0.0733675i | ||||
\(974\) | 21.9771 | + | 25.3630i | 0.704193 | + | 0.812682i | ||||
\(975\) | −0.333953 | − | 2.32270i | −0.0106951 | − | 0.0743858i | ||||
\(976\) | 3.29048 | − | 7.20515i | 0.105326 | − | 0.230631i | ||||
\(977\) | −3.15633 | − | 10.7495i | −0.100980 | − | 0.343906i | 0.893469 | − | 0.449124i | \(-0.148264\pi\) |
−0.994449 | + | 0.105219i | \(0.966446\pi\) | |||||||
\(978\) | 0.440381 | + | 1.49980i | 0.0140818 | + | 0.0479583i | ||||
\(979\) | 4.34704 | + | 1.98523i | 0.138932 | + | 0.0634481i | ||||
\(980\) | 2.83818 | − | 6.32995i | 0.0906624 | − | 0.202203i | ||||
\(981\) | 12.4561 | − | 10.7933i | 0.397693 | − | 0.344603i | ||||
\(982\) | −6.67927 | − | 14.6256i | −0.213144 | − | 0.466720i | ||||
\(983\) | −12.7099 | + | 8.16815i | −0.405382 | + | 0.260523i | −0.727405 | − | 0.686209i | \(-0.759274\pi\) |
0.322022 | + | 0.946732i | \(0.395637\pi\) | |||||||
\(984\) | −0.621947 | + | 4.32573i | −0.0198269 | + | 0.137899i | ||||
\(985\) | −10.9760 | − | 7.05385i | −0.349725 | − | 0.224754i | ||||
\(986\) | 1.94787 | − | 2.24796i | 0.0620328 | − | 0.0715896i | ||||
\(987\) | −22.8587 | − | 14.5792i | −0.727600 | − | 0.464062i | ||||
\(988\) | 4.25819i | 0.135471i | ||||||||
\(989\) | 19.9710 | − | 30.0803i | 0.635040 | − | 0.956499i | ||||
\(990\) | − | 5.03670i | − | 0.160077i | ||||||
\(991\) | −53.1756 | − | 15.6138i | −1.68918 | − | 0.495988i | −0.710902 | − | 0.703291i | \(-0.751713\pi\) |
−0.978277 | + | 0.207303i | \(0.933531\pi\) | |||||||
\(992\) | 4.87069 | + | 4.22047i | 0.154644 | + | 0.134000i | ||||
\(993\) | 10.7028 | − | 16.6539i | 0.339643 | − | 0.528495i | ||||
\(994\) | −6.35618 | + | 14.0461i | −0.201606 | + | 0.445515i | ||||
\(995\) | 15.8991 | − | 10.2177i | 0.504035 | − | 0.323924i | ||||
\(996\) | 15.4557 | − | 7.05838i | 0.489732 | − | 0.223653i | ||||
\(997\) | −15.1590 | + | 13.1354i | −0.480091 | + | 0.416001i | −0.860995 | − | 0.508613i | \(-0.830158\pi\) |
0.380904 | + | 0.924615i | \(0.375613\pi\) | |||||||
\(998\) | 2.67576 | + | 18.6103i | 0.0846997 | + | 0.589099i | ||||
\(999\) | 3.01103 | − | 6.59324i | 0.0952649 | − | 0.208601i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 966.2.s.b.97.3 | ✓ | 160 | |
7.6 | odd | 2 | inner | 966.2.s.b.97.14 | yes | 160 | |
23.14 | odd | 22 | inner | 966.2.s.b.727.14 | yes | 160 | |
161.83 | even | 22 | inner | 966.2.s.b.727.3 | yes | 160 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
966.2.s.b.97.3 | ✓ | 160 | 1.1 | even | 1 | trivial | |
966.2.s.b.97.14 | yes | 160 | 7.6 | odd | 2 | inner | |
966.2.s.b.727.3 | yes | 160 | 161.83 | even | 22 | inner | |
966.2.s.b.727.14 | yes | 160 | 23.14 | odd | 22 | inner |