Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [216,2,Mod(13,216)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(216, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 9, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("216.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 216 = 2^{3} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 216.t (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.72476868366\) |
Analytic rank: | \(0\) |
Dimension: | \(204\) |
Relative dimension: | \(34\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 13.33 | ||
Character | \(\chi\) | \(=\) | 216.13 |
Dual form | 216.2.t.a.133.33 |
$q$-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 \(\left(\mathbb{Z}/216\mathbb{Z}\right)^\times\).
\(n\) | \(55\) | \(109\) | \(137\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{4}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.40920 | + | 0.118992i | 0.996454 | + | 0.0841403i | ||||
\(3\) | 1.30914 | + | 1.13409i | 0.755830 | + | 0.654768i | ||||
\(4\) | 1.97168 | + | 0.335368i | 0.985841 | + | 0.167684i | ||||
\(5\) | 0.508621 | − | 0.606151i | 0.227462 | − | 0.271079i | −0.640227 | − | 0.768186i | \(-0.721160\pi\) |
0.867689 | + | 0.497107i | \(0.165604\pi\) | |||||||
\(6\) | 1.70988 | + | 1.75394i | 0.698057 | + | 0.716042i | ||||
\(7\) | −3.72062 | − | 1.35420i | −1.40626 | − | 0.511838i | −0.476233 | − | 0.879319i | \(-0.657998\pi\) |
−0.930031 | + | 0.367481i | \(0.880220\pi\) | |||||||
\(8\) | 2.73858 | + | 0.707214i | 0.968236 | + | 0.250038i | ||||
\(9\) | 0.427672 | + | 2.96936i | 0.142557 | + | 0.989787i | ||||
\(10\) | 0.788875 | − | 0.793665i | 0.249464 | − | 0.250979i | ||||
\(11\) | −2.92987 | − | 3.49168i | −0.883388 | − | 1.05278i | −0.998234 | − | 0.0593973i | \(-0.981082\pi\) |
0.114847 | − | 0.993383i | \(-0.463362\pi\) | |||||||
\(12\) | 2.20086 | + | 2.67511i | 0.635334 | + | 0.772238i | ||||
\(13\) | −3.31770 | − | 0.585000i | −0.920164 | − | 0.162250i | −0.306549 | − | 0.951855i | \(-0.599174\pi\) |
−0.613615 | + | 0.789605i | \(0.710285\pi\) | |||||||
\(14\) | −5.08196 | − | 2.35106i | −1.35821 | − | 0.628347i | ||||
\(15\) | 1.35328 | − | 0.216711i | 0.349417 | − | 0.0559545i | ||||
\(16\) | 3.77506 | + | 1.32248i | 0.943764 | + | 0.330619i | ||||
\(17\) | −2.50743 | + | 4.34299i | −0.608140 | + | 1.05333i | 0.383406 | + | 0.923580i | \(0.374751\pi\) |
−0.991547 | + | 0.129750i | \(0.958582\pi\) | |||||||
\(18\) | 0.249344 | + | 4.23531i | 0.0587709 | + | 0.998271i | ||||
\(19\) | 6.10844 | − | 3.52671i | 1.40137 | − | 0.809082i | 0.406838 | − | 0.913500i | \(-0.366631\pi\) |
0.994533 | + | 0.104418i | \(0.0332981\pi\) | |||||||
\(20\) | 1.20612 | − | 1.02456i | 0.269697 | − | 0.229099i | ||||
\(21\) | −3.33502 | − | 5.99236i | −0.727761 | − | 1.30764i | ||||
\(22\) | −3.71328 | − | 5.26910i | −0.791674 | − | 1.12338i | ||||
\(23\) | −4.33163 | + | 1.57658i | −0.903207 | + | 0.328740i | −0.751537 | − | 0.659691i | \(-0.770687\pi\) |
−0.151670 | + | 0.988431i | \(0.548465\pi\) | |||||||
\(24\) | 2.78313 | + | 4.03165i | 0.568105 | + | 0.822956i | ||||
\(25\) | 0.759517 | + | 4.30744i | 0.151903 | + | 0.861487i | ||||
\(26\) | −4.60569 | − | 1.21916i | −0.903249 | − | 0.239097i | ||||
\(27\) | −2.80765 | + | 4.37231i | −0.540332 | + | 0.841452i | ||||
\(28\) | −6.88173 | − | 3.91782i | −1.30053 | − | 0.740399i | ||||
\(29\) | 3.32150 | − | 0.585669i | 0.616786 | − | 0.108756i | 0.143479 | − | 0.989653i | \(-0.454171\pi\) |
0.473307 | + | 0.880897i | \(0.343060\pi\) | |||||||
\(30\) | 1.93283 | − | 0.144358i | 0.352885 | − | 0.0263561i | ||||
\(31\) | 7.51376 | − | 2.73478i | 1.34951 | − | 0.491182i | 0.436716 | − | 0.899600i | \(-0.356142\pi\) |
0.912795 | + | 0.408418i | \(0.133919\pi\) | |||||||
\(32\) | 5.16244 | + | 2.31283i | 0.912599 | + | 0.408855i | ||||
\(33\) | 0.124291 | − | 7.89382i | 0.0216364 | − | 1.37414i | ||||
\(34\) | −4.05025 | + | 5.82177i | −0.694611 | + | 0.998426i | ||||
\(35\) | −2.71323 | + | 1.56649i | −0.458620 | + | 0.264785i | ||||
\(36\) | −0.152594 | + | 5.99806i | −0.0254323 | + | 0.999677i | ||||
\(37\) | 3.56434 | + | 2.05787i | 0.585973 | + | 0.338312i | 0.763504 | − | 0.645803i | \(-0.223477\pi\) |
−0.177530 | + | 0.984115i | \(0.556811\pi\) | |||||||
\(38\) | 9.02765 | − | 4.24297i | 1.46448 | − | 0.688301i | ||||
\(39\) | −3.67987 | − | 4.52842i | −0.589251 | − | 0.725127i | ||||
\(40\) | 1.82158 | − | 1.30029i | 0.288017 | − | 0.205594i | ||||
\(41\) | 0.333012 | − | 1.88860i | 0.0520077 | − | 0.294950i | −0.947699 | − | 0.319165i | \(-0.896597\pi\) |
0.999707 | + | 0.0242149i | \(0.00770860\pi\) | |||||||
\(42\) | −3.98666 | − | 8.84126i | −0.615155 | − | 1.36424i | ||||
\(43\) | −3.66311 | − | 4.36553i | −0.558619 | − | 0.665737i | 0.410634 | − | 0.911800i | \(-0.365307\pi\) |
−0.969254 | + | 0.246064i | \(0.920863\pi\) | |||||||
\(44\) | −4.60577 | − | 7.86706i | −0.694345 | − | 1.18600i | ||||
\(45\) | 2.01740 | + | 1.25104i | 0.300737 | + | 0.186495i | ||||
\(46\) | −6.29173 | + | 1.70629i | −0.927664 | + | 0.251579i | ||||
\(47\) | −7.37860 | − | 2.68559i | −1.07628 | − | 0.391733i | −0.257757 | − | 0.966210i | \(-0.582984\pi\) |
−0.818521 | + | 0.574476i | \(0.805206\pi\) | |||||||
\(48\) | 3.44225 | + | 6.01256i | 0.496846 | + | 0.867839i | ||||
\(49\) | 6.64689 | + | 5.57740i | 0.949555 | + | 0.796771i | ||||
\(50\) | 0.557759 | + | 6.16041i | 0.0788790 | + | 0.871214i | ||||
\(51\) | −8.20791 | + | 2.84191i | −1.14934 | + | 0.397947i | ||||
\(52\) | −6.34526 | − | 2.26608i | −0.879929 | − | 0.314249i | ||||
\(53\) | 1.95507i | 0.268550i | 0.990944 | + | 0.134275i | \(0.0428705\pi\) | ||||
−0.990944 | + | 0.134275i | \(0.957129\pi\) | |||||||
\(54\) | −4.47680 | + | 5.82737i | −0.609216 | + | 0.793005i | ||||
\(55\) | −3.60667 | −0.486324 | ||||||||
\(56\) | −9.23154 | − | 6.33986i | −1.23362 | − | 0.847200i | ||||
\(57\) | 11.9964 | + | 2.31059i | 1.58896 | + | 0.306045i | ||||
\(58\) | 4.75034 | − | 0.430092i | 0.623750 | − | 0.0564738i | ||||
\(59\) | −3.02793 | + | 3.60855i | −0.394203 | + | 0.469793i | −0.926243 | − | 0.376926i | \(-0.876981\pi\) |
0.532040 | + | 0.846719i | \(0.321426\pi\) | |||||||
\(60\) | 2.74092 | + | 0.0265629i | 0.353852 | + | 0.00342926i | ||||
\(61\) | 1.87567 | − | 5.15337i | 0.240156 | − | 0.659822i | −0.759798 | − | 0.650159i | \(-0.774702\pi\) |
0.999953 | − | 0.00966241i | \(-0.00307569\pi\) | |||||||
\(62\) | 10.9138 | − | 2.95978i | 1.38605 | − | 0.375892i | ||||
\(63\) | 2.42989 | − | 11.6270i | 0.306137 | − | 1.46487i | ||||
\(64\) | 6.99970 | + | 3.87353i | 0.874962 | + | 0.484192i | ||||
\(65\) | −2.04205 | + | 1.71348i | −0.253285 | + | 0.212531i | ||||
\(66\) | 1.11445 | − | 11.1092i | 0.137180 | − | 1.36744i | ||||
\(67\) | 5.36107 | + | 0.945302i | 0.654959 | + | 0.115487i | 0.491246 | − | 0.871021i | \(-0.336542\pi\) |
0.163713 | + | 0.986508i | \(0.447653\pi\) | |||||||
\(68\) | −6.40035 | + | 7.72209i | −0.776156 | + | 0.936441i | ||||
\(69\) | −7.45868 | − | 2.84850i | −0.897919 | − | 0.342919i | ||||
\(70\) | −4.00989 | + | 1.88464i | −0.479273 | + | 0.225257i | ||||
\(71\) | −5.56518 | + | 9.63918i | −0.660465 | + | 1.14396i | 0.320028 | + | 0.947408i | \(0.396308\pi\) |
−0.980493 | + | 0.196552i | \(0.937026\pi\) | |||||||
\(72\) | −0.928758 | + | 8.43430i | −0.109455 | + | 0.993992i | ||||
\(73\) | −1.32161 | − | 2.28909i | −0.154683 | − | 0.267918i | 0.778261 | − | 0.627941i | \(-0.216102\pi\) |
−0.932943 | + | 0.360023i | \(0.882769\pi\) | |||||||
\(74\) | 4.77799 | + | 3.32408i | 0.555430 | + | 0.386416i | ||||
\(75\) | −3.89072 | + | 6.50038i | −0.449261 | + | 0.750599i | ||||
\(76\) | 13.2266 | − | 4.90497i | 1.51720 | − | 0.562639i | ||||
\(77\) | 6.17251 | + | 16.9588i | 0.703423 | + | 1.93264i | ||||
\(78\) | −4.64683 | − | 6.81932i | −0.526150 | − | 0.772136i | ||||
\(79\) | −0.150274 | − | 0.852245i | −0.0169071 | − | 0.0958850i | 0.975187 | − | 0.221385i | \(-0.0710577\pi\) |
−0.992094 | + | 0.125500i | \(0.959947\pi\) | |||||||
\(80\) | 2.72169 | − | 1.61561i | 0.304295 | − | 0.180631i | ||||
\(81\) | −8.63419 | + | 2.53982i | −0.959355 | + | 0.282203i | ||||
\(82\) | 0.694009 | − | 2.62179i | 0.0766405 | − | 0.289529i | ||||
\(83\) | 0.0489550 | − | 0.00863210i | 0.00537351 | − | 0.000947496i | −0.170961 | − | 0.985278i | \(-0.554687\pi\) |
0.176334 | + | 0.984330i | \(0.443576\pi\) | |||||||
\(84\) | −4.56595 | − | 12.9335i | −0.498186 | − | 1.41116i | ||||
\(85\) | 1.35718 | + | 3.72882i | 0.147207 | + | 0.404447i | ||||
\(86\) | −4.64259 | − | 6.58778i | −0.500623 | − | 0.710378i | ||||
\(87\) | 5.01249 | + | 3.00016i | 0.537395 | + | 0.321651i | ||||
\(88\) | −5.55432 | − | 11.6343i | −0.592093 | − | 1.24022i | ||||
\(89\) | −2.15515 | − | 3.73283i | −0.228445 | − | 0.395679i | 0.728902 | − | 0.684618i | \(-0.240031\pi\) |
−0.957348 | + | 0.288939i | \(0.906698\pi\) | |||||||
\(90\) | 2.69406 | + | 2.00303i | 0.283978 | + | 0.211137i | ||||
\(91\) | 11.5517 | + | 6.66938i | 1.21095 | + | 0.699141i | ||||
\(92\) | −9.06933 | + | 1.65583i | −0.945543 | + | 0.172633i | ||||
\(93\) | 12.9380 | + | 4.94109i | 1.34161 | + | 0.512367i | ||||
\(94\) | −10.0783 | − | 4.66252i | −1.03950 | − | 0.480903i | ||||
\(95\) | 0.969162 | − | 5.49639i | 0.0994339 | − | 0.563918i | ||||
\(96\) | 4.13537 | + | 8.88250i | 0.422064 | + | 0.906566i | ||||
\(97\) | 5.00174 | − | 4.19696i | 0.507850 | − | 0.426137i | −0.352522 | − | 0.935804i | \(-0.614676\pi\) |
0.860372 | + | 0.509667i | \(0.170231\pi\) | |||||||
\(98\) | 8.70312 | + | 8.65059i | 0.879147 | + | 0.873842i | ||||
\(99\) | 9.11503 | − | 10.1931i | 0.916095 | − | 1.02445i | ||||
\(100\) | 0.0529517 | + | 8.74761i | 0.00529517 | + | 0.874761i | ||||
\(101\) | 1.65905 | − | 4.55822i | 0.165082 | − | 0.453559i | −0.829376 | − | 0.558690i | \(-0.811304\pi\) |
0.994458 | + | 0.105131i | \(0.0335262\pi\) | |||||||
\(102\) | −11.9047 | + | 3.02814i | −1.17875 | + | 0.299831i | ||||
\(103\) | 2.89374 | + | 2.42813i | 0.285128 | + | 0.239251i | 0.774122 | − | 0.633036i | \(-0.218192\pi\) |
−0.488994 | + | 0.872287i | \(0.662636\pi\) | |||||||
\(104\) | −8.67208 | − | 3.94840i | −0.850367 | − | 0.387172i | ||||
\(105\) | −5.32853 | − | 1.02631i | −0.520011 | − | 0.100158i | ||||
\(106\) | −0.232639 | + | 2.75509i | −0.0225959 | + | 0.267598i | ||||
\(107\) | − | 6.44327i | − | 0.622894i | −0.950263 | − | 0.311447i | \(-0.899186\pi\) | ||
0.950263 | − | 0.311447i | \(-0.100814\pi\) | |||||||
\(108\) | −7.00212 | + | 7.67922i | −0.673779 | + | 0.738933i | ||||
\(109\) | 1.86527i | 0.178660i | 0.996002 | + | 0.0893301i | \(0.0284726\pi\) | ||||
−0.996002 | + | 0.0893301i | \(0.971527\pi\) | |||||||
\(110\) | −5.08252 | − | 0.429166i | −0.484599 | − | 0.0409194i | ||||
\(111\) | 2.33239 | + | 6.73632i | 0.221380 | + | 0.639383i | ||||
\(112\) | −12.2547 | − | 10.0326i | −1.15796 | − | 0.947992i | ||||
\(113\) | 4.03671 | + | 3.38720i | 0.379741 | + | 0.318641i | 0.812601 | − | 0.582821i | \(-0.198051\pi\) |
−0.432859 | + | 0.901461i | \(0.642495\pi\) | |||||||
\(114\) | 16.6303 | + | 4.68356i | 1.55757 | + | 0.438655i | ||||
\(115\) | −1.24751 | + | 3.42750i | −0.116331 | + | 0.319616i | ||||
\(116\) | 6.74535 | − | 0.0408314i | 0.626290 | − | 0.00379110i | ||||
\(117\) | 0.318188 | − | 10.1016i | 0.0294165 | − | 0.933896i | ||||
\(118\) | −4.69635 | + | 4.72486i | −0.432334 | + | 0.434959i | ||||
\(119\) | 15.2105 | − | 12.7631i | 1.39434 | − | 1.16999i | ||||
\(120\) | 3.85935 | + | 0.363581i | 0.352308 | + | 0.0331903i | ||||
\(121\) | −1.69757 | + | 9.62741i | −0.154325 | + | 0.875219i | ||||
\(122\) | 3.25641 | − | 7.03894i | 0.294821 | − | 0.637275i | ||||
\(123\) | 2.57781 | − | 2.09477i | 0.232433 | − | 0.188879i | ||||
\(124\) | 15.7319 | − | 2.87225i | 1.41277 | − | 0.257936i | ||||
\(125\) | 6.42358 | + | 3.70865i | 0.574542 | + | 0.331712i | ||||
\(126\) | 4.80772 | − | 16.0956i | 0.428306 | − | 1.43391i | ||||
\(127\) | 8.80265 | + | 15.2466i | 0.781109 | + | 1.35292i | 0.931296 | + | 0.364263i | \(0.118679\pi\) |
−0.150187 | + | 0.988658i | \(0.547988\pi\) | |||||||
\(128\) | 9.40304 | + | 6.29149i | 0.831119 | + | 0.556094i | ||||
\(129\) | 0.155397 | − | 9.86937i | 0.0136820 | − | 0.868950i | ||||
\(130\) | −3.08154 | + | 2.17165i | −0.270269 | + | 0.190466i | ||||
\(131\) | 3.58706 | + | 9.85536i | 0.313403 | + | 0.861067i | 0.991964 | + | 0.126523i | \(0.0403817\pi\) |
−0.678561 | + | 0.734544i | \(0.737396\pi\) | |||||||
\(132\) | 2.89239 | − | 15.5224i | 0.251751 | − | 1.35105i | ||||
\(133\) | −27.5031 | + | 4.84953i | −2.38482 | + | 0.420508i | ||||
\(134\) | 7.44233 | + | 1.97004i | 0.642920 | + | 0.170186i | ||||
\(135\) | 1.22225 | + | 3.92571i | 0.105195 | + | 0.337871i | ||||
\(136\) | −9.93823 | + | 10.1204i | −0.852196 | + | 0.867814i | ||||
\(137\) | −1.18700 | − | 6.73181i | −0.101412 | − | 0.575137i | −0.992593 | − | 0.121489i | \(-0.961233\pi\) |
0.891181 | − | 0.453649i | \(-0.149878\pi\) | |||||||
\(138\) | −10.1718 | − | 4.90163i | −0.865882 | − | 0.417254i | ||||
\(139\) | −3.94000 | − | 10.8251i | −0.334187 | − | 0.918171i | −0.987010 | − | 0.160660i | \(-0.948638\pi\) |
0.652823 | − | 0.757510i | \(-0.273585\pi\) | |||||||
\(140\) | −5.87498 | + | 2.17868i | −0.496527 | + | 0.184132i | ||||
\(141\) | −6.61388 | − | 11.8838i | −0.556989 | − | 1.00080i | ||||
\(142\) | −8.98943 | + | 12.9213i | −0.754376 | + | 1.08433i | ||||
\(143\) | 7.67778 | + | 13.2983i | 0.642048 | + | 1.11206i | ||||
\(144\) | −2.31242 | + | 11.7751i | −0.192702 | + | 0.981257i | ||||
\(145\) | 1.33438 | − | 2.31121i | 0.110814 | − | 0.191936i | ||||
\(146\) | −1.59003 | − | 3.38305i | −0.131591 | − | 0.279983i | ||||
\(147\) | 2.37639 | + | 14.8398i | 0.196002 | + | 1.22396i | ||||
\(148\) | 6.33759 | + | 5.25283i | 0.520947 | + | 0.431780i | ||||
\(149\) | 10.7148 | + | 1.88931i | 0.877789 | + | 0.154778i | 0.594344 | − | 0.804211i | \(-0.297412\pi\) |
0.283445 | + | 0.958989i | \(0.408523\pi\) | |||||||
\(150\) | −6.25629 | + | 8.69736i | −0.510824 | + | 0.710137i | ||||
\(151\) | −13.6914 | + | 11.4884i | −1.11419 | + | 0.934917i | −0.998296 | − | 0.0583451i | \(-0.981418\pi\) |
−0.115894 | + | 0.993262i | \(0.536973\pi\) | |||||||
\(152\) | 19.2226 | − | 5.33821i | 1.55916 | − | 0.432986i | ||||
\(153\) | −13.9683 | − | 5.58808i | −1.12927 | − | 0.451769i | ||||
\(154\) | 6.68032 | + | 24.6329i | 0.538316 | + | 1.98497i | ||||
\(155\) | 2.16396 | − | 5.94544i | 0.173814 | − | 0.477549i | ||||
\(156\) | −5.73686 | − | 10.1627i | −0.459316 | − | 0.813668i | ||||
\(157\) | −5.09556 | + | 6.07265i | −0.406670 | + | 0.484650i | −0.930042 | − | 0.367454i | \(-0.880229\pi\) |
0.523372 | + | 0.852104i | \(0.324674\pi\) | |||||||
\(158\) | −0.110355 | − | 1.21886i | −0.00877937 | − | 0.0969676i | ||||
\(159\) | −2.21723 | + | 2.55946i | −0.175838 | + | 0.202978i | ||||
\(160\) | 4.02765 | − | 1.95286i | 0.318414 | − | 0.154387i | ||||
\(161\) | 18.2514 | 1.43841 | ||||||||
\(162\) | −12.4695 | + | 2.55171i | −0.979697 | + | 0.200482i | ||||
\(163\) | − | 16.2608i | − | 1.27365i | −0.771009 | − | 0.636824i | \(-0.780248\pi\) | ||
0.771009 | − | 0.636824i | \(-0.219752\pi\) | |||||||
\(164\) | 1.28997 | − | 3.61204i | 0.100730 | − | 0.282053i | ||||
\(165\) | −4.72163 | − | 4.09030i | −0.367578 | − | 0.318429i | ||||
\(166\) | 0.0700145 | − | 0.00633906i | 0.00543418 | − | 0.000492007i | ||||
\(167\) | −9.24890 | − | 7.76075i | −0.715701 | − | 0.600545i | 0.210491 | − | 0.977596i | \(-0.432494\pi\) |
−0.926193 | + | 0.377051i | \(0.876938\pi\) | |||||||
\(168\) | −4.89535 | − | 18.7691i | −0.377685 | − | 1.44807i | ||||
\(169\) | −1.55110 | − | 0.564555i | −0.119316 | − | 0.0434273i | ||||
\(170\) | 1.46883 | + | 5.41614i | 0.112654 | + | 0.415399i | ||||
\(171\) | 13.0845 | + | 16.6299i | 1.00059 | + | 1.27172i | ||||
\(172\) | −5.75843 | − | 9.83592i | −0.439076 | − | 0.749982i | ||||
\(173\) | −2.11267 | − | 2.51778i | −0.160623 | − | 0.191423i | 0.679730 | − | 0.733462i | \(-0.262097\pi\) |
−0.840353 | + | 0.542039i | \(0.817652\pi\) | |||||||
\(174\) | 6.70660 | + | 4.82427i | 0.508426 | + | 0.365727i | ||||
\(175\) | 3.00724 | − | 17.0549i | 0.227326 | − | 1.28923i | ||||
\(176\) | −6.44275 | − | 17.0560i | −0.485641 | − | 1.28564i | ||||
\(177\) | −8.05640 | + | 1.29013i | −0.605556 | + | 0.0969720i | ||||
\(178\) | −2.59285 | − | 5.51674i | −0.194343 | − | 0.413497i | ||||
\(179\) | −7.43771 | − | 4.29416i | −0.555920 | − | 0.320961i | 0.195586 | − | 0.980687i | \(-0.437339\pi\) |
−0.751506 | + | 0.659726i | \(0.770672\pi\) | |||||||
\(180\) | 3.55812 | + | 3.14323i | 0.265206 | + | 0.234283i | ||||
\(181\) | −10.0107 | + | 5.77968i | −0.744089 | + | 0.429600i | −0.823554 | − | 0.567237i | \(-0.808012\pi\) |
0.0794649 | + | 0.996838i | \(0.474679\pi\) | |||||||
\(182\) | 15.4850 | + | 10.7730i | 1.14783 | + | 0.798551i | ||||
\(183\) | 8.29991 | − | 4.61928i | 0.613547 | − | 0.341467i | ||||
\(184\) | −12.9775 | + | 1.25422i | −0.956715 | + | 0.0924622i | ||||
\(185\) | 3.06028 | − | 1.11385i | 0.224996 | − | 0.0818918i | ||||
\(186\) | 17.6443 | + | 8.50250i | 1.29374 | + | 0.623433i | ||||
\(187\) | 22.5108 | − | 3.96925i | 1.64615 | − | 0.290261i | ||||
\(188\) | −13.6476 | − | 7.76967i | −0.995352 | − | 0.566661i | ||||
\(189\) | 16.3672 | − | 12.4656i | 1.19054 | − | 0.906741i | ||||
\(190\) | 2.01977 | − | 7.63018i | 0.146530 | − | 0.553552i | ||||
\(191\) | 4.01620 | + | 22.7770i | 0.290602 | + | 1.64809i | 0.684558 | + | 0.728958i | \(0.259995\pi\) |
−0.393956 | + | 0.919129i | \(0.628894\pi\) | |||||||
\(192\) | 4.77061 | + | 13.0093i | 0.344289 | + | 0.938864i | ||||
\(193\) | 2.47922 | − | 0.902363i | 0.178458 | − | 0.0649535i | −0.251246 | − | 0.967923i | \(-0.580840\pi\) |
0.429704 | + | 0.902970i | \(0.358618\pi\) | |||||||
\(194\) | 7.54785 | − | 5.31918i | 0.541904 | − | 0.381895i | ||||
\(195\) | −4.61657 | − | 0.0726898i | −0.330599 | − | 0.00520542i | ||||
\(196\) | 11.2351 | + | 13.2260i | 0.802505 | + | 0.944715i | ||||
\(197\) | −13.8978 | + | 8.02392i | −0.990180 | + | 0.571680i | −0.905328 | − | 0.424713i | \(-0.860375\pi\) |
−0.0848516 | + | 0.996394i | \(0.527042\pi\) | |||||||
\(198\) | 14.0578 | − | 13.2795i | 0.999043 | − | 0.943734i | ||||
\(199\) | 9.62310 | − | 16.6677i | 0.682164 | − | 1.18154i | −0.292156 | − | 0.956371i | \(-0.594373\pi\) |
0.974319 | − | 0.225171i | \(-0.0722941\pi\) | |||||||
\(200\) | −0.966279 | + | 12.3334i | −0.0683262 | + | 0.872105i | ||||
\(201\) | 5.94631 | + | 7.31748i | 0.419421 | + | 0.516135i | ||||
\(202\) | 2.88033 | − | 6.22602i | 0.202659 | − | 0.438061i | ||||
\(203\) | −13.1512 | − | 2.31890i | −0.923030 | − | 0.162755i | ||||
\(204\) | −17.1365 | + | 2.85068i | −1.19979 | + | 0.199587i | ||||
\(205\) | −0.975402 | − | 1.16244i | −0.0681250 | − | 0.0811883i | ||||
\(206\) | 3.78892 | + | 3.76605i | 0.263987 | + | 0.262393i | ||||
\(207\) | −6.53396 | − | 12.1879i | −0.454142 | − | 0.847118i | ||||
\(208\) | −11.7509 | − | 6.59599i | −0.814775 | − | 0.457349i | ||||
\(209\) | −30.2110 | − | 10.9959i | −2.08974 | − | 0.760603i | ||||
\(210\) | −7.38684 | − | 2.08033i | −0.509740 | − | 0.143557i | ||||
\(211\) | −13.9505 | + | 16.6256i | −0.960392 | + | 1.14455i | 0.0290432 | + | 0.999578i | \(0.490754\pi\) |
−0.989436 | + | 0.144973i | \(0.953690\pi\) | |||||||
\(212\) | −0.655668 | + | 3.85478i | −0.0450315 | + | 0.264748i | ||||
\(213\) | −18.2173 | + | 6.30756i | −1.24823 | + | 0.432187i | ||||
\(214\) | 0.766699 | − | 9.07985i | 0.0524105 | − | 0.620685i | ||||
\(215\) | −4.50930 | −0.307532 | ||||||||
\(216\) | −10.7811 | + | 9.98835i | −0.733564 | + | 0.679621i | ||||
\(217\) | −31.6593 | −2.14917 | ||||||||
\(218\) | −0.221952 | + | 2.62853i | −0.0150325 | + | 0.178027i | ||||
\(219\) | 0.865877 | − | 4.49556i | 0.0585106 | − | 0.303782i | ||||
\(220\) | −7.11121 | − | 1.20956i | −0.479438 | − | 0.0815486i | ||||
\(221\) | 10.8595 | − | 12.9419i | 0.730492 | − | 0.870566i | ||||
\(222\) | 2.48523 | + | 9.77034i | 0.166797 | + | 0.655743i | ||||
\(223\) | −5.73818 | − | 2.08853i | −0.384257 | − | 0.139858i | 0.142666 | − | 0.989771i | \(-0.454432\pi\) |
−0.526924 | + | 0.849913i | \(0.676655\pi\) | |||||||
\(224\) | −16.0755 | − | 15.5961i | −1.07409 | − | 1.04206i | ||||
\(225\) | −12.4655 | + | 4.09745i | −0.831034 | + | 0.273163i | ||||
\(226\) | 5.28547 | + | 5.25357i | 0.351584 | + | 0.349462i | ||||
\(227\) | −18.6090 | − | 22.1773i | −1.23512 | − | 1.47196i | −0.830063 | − | 0.557670i | \(-0.811695\pi\) |
−0.405059 | − | 0.914291i | \(-0.632749\pi\) | |||||||
\(228\) | 22.8781 | + | 8.57894i | 1.51514 | + | 0.568154i | ||||
\(229\) | −12.6630 | − | 2.23282i | −0.836791 | − | 0.147549i | −0.261198 | − | 0.965285i | \(-0.584118\pi\) |
−0.575593 | + | 0.817736i | \(0.695229\pi\) | |||||||
\(230\) | −2.16583 | + | 4.68159i | −0.142811 | + | 0.308695i | ||||
\(231\) | −11.1522 | + | 29.2016i | −0.733762 | + | 1.92132i | ||||
\(232\) | 9.51039 | + | 0.745105i | 0.624388 | + | 0.0489185i | ||||
\(233\) | 13.9217 | − | 24.1131i | 0.912041 | − | 1.57970i | 0.100865 | − | 0.994900i | \(-0.467839\pi\) |
0.811176 | − | 0.584802i | \(-0.198828\pi\) | |||||||
\(234\) | 1.65041 | − | 14.1973i | 0.107890 | − | 0.928109i | ||||
\(235\) | −5.38078 | + | 3.10659i | −0.351003 | + | 0.202652i | ||||
\(236\) | −7.18031 | + | 6.09944i | −0.467399 | + | 0.397040i | ||||
\(237\) | 0.769795 | − | 1.28613i | 0.0500036 | − | 0.0835430i | ||||
\(238\) | 22.9533 | − | 16.1758i | 1.48784 | − | 1.04852i | ||||
\(239\) | 3.89187 | − | 1.41652i | 0.251744 | − | 0.0916273i | −0.213066 | − | 0.977038i | \(-0.568345\pi\) |
0.464810 | + | 0.885411i | \(0.346123\pi\) | |||||||
\(240\) | 5.39532 | + | 0.971591i | 0.348266 | + | 0.0627159i | ||||
\(241\) | −3.28233 | − | 18.6150i | −0.211434 | − | 1.19910i | −0.886989 | − | 0.461791i | \(-0.847207\pi\) |
0.675555 | − | 0.737309i | \(-0.263904\pi\) | |||||||
\(242\) | −3.53780 | + | 13.3649i | −0.227419 | + | 0.859131i | ||||
\(243\) | −14.1837 | − | 6.46699i | −0.909886 | − | 0.414858i | ||||
\(244\) | 5.42651 | − | 9.53177i | 0.347397 | − | 0.610209i | ||||
\(245\) | 6.76149 | − | 1.19223i | 0.431976 | − | 0.0761690i | ||||
\(246\) | 3.88190 | − | 2.64521i | 0.247501 | − | 0.168653i | ||||
\(247\) | −22.3291 | + | 8.12712i | −1.42076 | + | 0.517116i | ||||
\(248\) | 22.5111 | − | 2.17560i | 1.42946 | − | 0.138151i | ||||
\(249\) | 0.0738784 | + | 0.0442189i | 0.00468185 | + | 0.00280226i | ||||
\(250\) | 8.61080 | + | 5.99059i | 0.544595 | + | 0.378878i | ||||
\(251\) | −2.74444 | + | 1.58450i | −0.173228 | + | 0.100013i | −0.584107 | − | 0.811677i | \(-0.698555\pi\) |
0.410879 | + | 0.911690i | \(0.365222\pi\) | |||||||
\(252\) | 8.69030 | − | 22.1099i | 0.547437 | − | 1.39279i | ||||
\(253\) | 18.1960 | + | 10.5055i | 1.14397 | + | 0.660473i | ||||
\(254\) | 10.5905 | + | 22.5330i | 0.664504 | + | 1.41385i | ||||
\(255\) | −2.45209 | + | 6.42069i | −0.153556 | + | 0.402079i | ||||
\(256\) | 12.5021 | + | 9.98485i | 0.781382 | + | 0.624053i | ||||
\(257\) | −0.803738 | + | 4.55822i | −0.0501358 | + | 0.284334i | −0.999560 | − | 0.0296622i | \(-0.990557\pi\) |
0.949424 | + | 0.313996i | \(0.101668\pi\) | |||||||
\(258\) | 1.39336 | − | 13.8894i | 0.0867471 | − | 0.864717i | ||||
\(259\) | −10.4748 | − | 12.4834i | −0.650872 | − | 0.775679i | ||||
\(260\) | −4.60092 | + | 2.69361i | −0.285337 | + | 0.167050i | ||||
\(261\) | 3.15957 | + | 9.61224i | 0.195573 | + | 0.594983i | ||||
\(262\) | 3.88217 | + | 14.3150i | 0.239841 | + | 0.884383i | ||||
\(263\) | 16.1355 | + | 5.87284i | 0.994957 | + | 0.362135i | 0.787638 | − | 0.616139i | \(-0.211304\pi\) |
0.207319 | + | 0.978273i | \(0.433526\pi\) | |||||||
\(264\) | 5.92300 | − | 21.5300i | 0.364536 | − | 1.32508i | ||||
\(265\) | 1.18507 | + | 0.994391i | 0.0727982 | + | 0.0610850i | ||||
\(266\) | −39.3343 | + | 3.56130i | −2.41174 | + | 0.218357i | ||||
\(267\) | 1.41199 | − | 7.33091i | 0.0864121 | − | 0.448645i | ||||
\(268\) | 10.2533 | + | 3.66176i | 0.626320 | + | 0.223678i | ||||
\(269\) | − | 2.41197i | − | 0.147060i | −0.997293 | − | 0.0735302i | \(-0.976573\pi\) | ||
0.997293 | − | 0.0735302i | \(-0.0234265\pi\) | |||||||
\(270\) | 1.25527 | + | 5.67754i | 0.0763933 | + | 0.345524i | ||||
\(271\) | 17.5762 | 1.06768 | 0.533839 | − | 0.845586i | \(-0.320749\pi\) | ||||
0.533839 | + | 0.845586i | \(0.320749\pi\) | |||||||
\(272\) | −15.2092 | + | 13.0790i | −0.922192 | + | 0.793033i | ||||
\(273\) | 7.55906 | + | 21.8318i | 0.457495 | + | 1.32132i | ||||
\(274\) | −0.871685 | − | 9.62770i | −0.0526604 | − | 0.581631i | ||||
\(275\) | 12.8149 | − | 15.2722i | 0.772767 | − | 0.920948i | ||||
\(276\) | −13.7508 | − | 8.11774i | −0.827704 | − | 0.488630i | ||||
\(277\) | 5.51804 | − | 15.1607i | 0.331547 | − | 0.910917i | −0.656163 | − | 0.754619i | \(-0.727822\pi\) |
0.987710 | − | 0.156298i | \(-0.0499560\pi\) | |||||||
\(278\) | −4.26415 | − | 15.7235i | −0.255747 | − | 0.943033i | ||||
\(279\) | 11.3340 | + | 21.1415i | 0.678548 | + | 1.26571i | ||||
\(280\) | −8.53827 | + | 2.37112i | −0.510259 | + | 0.141701i | ||||
\(281\) | −7.03652 | + | 5.90434i | −0.419764 | + | 0.352223i | −0.828073 | − | 0.560620i | \(-0.810563\pi\) |
0.408310 | + | 0.912843i | \(0.366118\pi\) | |||||||
\(282\) | −7.90619 | − | 17.5336i | −0.470807 | − | 1.04411i | ||||
\(283\) | −0.0113336 | − | 0.00199842i | −0.000673713 | − | 0.000118794i | 0.173311 | − | 0.984867i | \(-0.444553\pi\) |
−0.173985 | + | 0.984748i | \(0.555664\pi\) | |||||||
\(284\) | −14.2054 | + | 17.1390i | −0.842937 | + | 1.01701i | ||||
\(285\) | 7.50218 | − | 6.09640i | 0.444390 | − | 0.361120i | ||||
\(286\) | 9.23712 | + | 19.6536i | 0.546203 | + | 1.16214i | ||||
\(287\) | −3.79655 | + | 6.57582i | −0.224103 | + | 0.388159i | ||||
\(288\) | −4.65981 | + | 16.3183i | −0.274582 | + | 0.961564i | ||||
\(289\) | −4.07438 | − | 7.05704i | −0.239670 | − | 0.415120i | ||||
\(290\) | 2.15542 | − | 3.09817i | 0.126571 | − | 0.181931i | ||||
\(291\) | 11.3077 | + | 0.178044i | 0.662869 | + | 0.0104371i | ||||
\(292\) | −1.83810 | − | 4.95659i | −0.107567 | − | 0.290063i | ||||
\(293\) | −5.21237 | − | 14.3209i | −0.304510 | − | 0.836634i | −0.993702 | − | 0.112055i | \(-0.964257\pi\) |
0.689192 | − | 0.724579i | \(-0.257966\pi\) | |||||||
\(294\) | 1.58299 | + | 21.1949i | 0.0923220 | + | 1.23611i | ||||
\(295\) | 0.647256 | + | 3.67077i | 0.0376847 | + | 0.213720i | ||||
\(296\) | 8.30588 | + | 8.15640i | 0.482770 | + | 0.474081i | ||||
\(297\) | 23.4927 | − | 3.00690i | 1.36319 | − | 0.174478i | ||||
\(298\) | 14.8744 | + | 3.93738i | 0.861654 | + | 0.228087i | ||||
\(299\) | 15.2933 | − | 2.69663i | 0.884437 | − | 0.155950i | ||||
\(300\) | −9.85127 | + | 11.5119i | −0.568763 | + | 0.664638i | ||||
\(301\) | 7.71728 | + | 21.2031i | 0.444817 | + | 1.22212i | ||||
\(302\) | −20.6609 | + | 14.5603i | −1.18890 | + | 0.837853i | ||||
\(303\) | 7.34136 | − | 4.08580i | 0.421750 | − | 0.234723i | ||||
\(304\) | 27.7237 | − | 5.23526i | 1.59006 | − | 0.300263i | ||||
\(305\) | −2.16971 | − | 3.75806i | −0.124237 | − | 0.215186i | ||||
\(306\) | −19.0191 | − | 9.53683i | −1.08725 | − | 0.545184i | ||||
\(307\) | 13.5691 | + | 7.83415i | 0.774432 | + | 0.447119i | 0.834453 | − | 0.551079i | \(-0.185784\pi\) |
−0.0600213 | + | 0.998197i | \(0.519117\pi\) | |||||||
\(308\) | 6.48278 | + | 35.5075i | 0.369391 | + | 2.02323i | ||||
\(309\) | 1.03457 | + | 6.46052i | 0.0588545 | + | 0.367526i | ||||
\(310\) | 3.75692 | − | 8.12081i | 0.213378 | − | 0.461231i | ||||
\(311\) | 5.64104 | − | 31.9919i | 0.319874 | − | 1.81410i | −0.223612 | − | 0.974678i | \(-0.571785\pi\) |
0.543486 | − | 0.839418i | \(-0.317104\pi\) | |||||||
\(312\) | −6.87509 | − | 15.0039i | −0.389225 | − | 0.849430i | ||||
\(313\) | 9.73885 | − | 8.17186i | 0.550472 | − | 0.461901i | −0.324629 | − | 0.945842i | \(-0.605239\pi\) |
0.875101 | + | 0.483941i | \(0.160795\pi\) | |||||||
\(314\) | −7.90326 | + | 7.95124i | −0.446006 | + | 0.448714i | ||||
\(315\) | −5.81184 | − | 7.38663i | −0.327460 | − | 0.416189i | ||||
\(316\) | −0.0104767 | − | 1.73075i | −0.000589361 | − | 0.0973624i | ||||
\(317\) | −6.57901 | + | 18.0757i | −0.369514 | + | 1.01523i | 0.606033 | + | 0.795440i | \(0.292760\pi\) |
−0.975547 | + | 0.219792i | \(0.929462\pi\) | |||||||
\(318\) | −3.42908 | + | 3.34295i | −0.192293 | + | 0.187463i | ||||
\(319\) | −11.7765 | − | 9.88166i | −0.659358 | − | 0.553267i | ||||
\(320\) | 5.90814 | − | 2.27271i | 0.330275 | − | 0.127048i | ||||
\(321\) | 7.30726 | − | 8.43511i | 0.407851 | − | 0.470802i | ||||
\(322\) | 25.7198 | + | 2.17177i | 1.43331 | + | 0.121028i | ||||
\(323\) | 35.3718i | 1.96814i | ||||||||
\(324\) | −17.8757 | + | 2.11210i | −0.993092 | + | 0.117339i | ||||
\(325\) | − | 14.7351i | − | 0.817356i | ||||||
\(326\) | 1.93492 | − | 22.9148i | 0.107165 | − | 1.26913i | ||||
\(327\) | −2.11538 | + | 2.44189i | −0.116981 | + | 0.135037i | ||||
\(328\) | 2.24763 | − | 4.93659i | 0.124105 | − | 0.272578i | ||||
\(329\) | 23.8162 | + | 19.9841i | 1.31303 | + | 1.10176i | ||||
\(330\) | −6.16699 | − | 6.32588i | −0.339482 | − | 0.348228i | ||||
\(331\) | −1.10235 | + | 3.02867i | −0.0605905 | + | 0.166471i | −0.966294 | − | 0.257440i | \(-0.917121\pi\) |
0.905704 | + | 0.423911i | \(0.139343\pi\) | |||||||
\(332\) | 0.0994187 | 0.000601809i | 0.00545631 | 3.30285e-5i | ||||||
\(333\) | −4.58619 | + | 11.4639i | −0.251322 | + | 0.628217i | ||||
\(334\) | −12.1101 | − | 12.0370i | −0.662634 | − | 0.658635i | ||||
\(335\) | 3.29975 | − | 2.76882i | 0.180285 | − | 0.151277i | ||||
\(336\) | −4.66514 | − | 27.0320i | −0.254504 | − | 1.47471i | ||||
\(337\) | −5.11170 | + | 28.9899i | −0.278452 | + | 1.57918i | 0.449326 | + | 0.893368i | \(0.351664\pi\) |
−0.727778 | + | 0.685813i | \(0.759447\pi\) | |||||||
\(338\) | −2.11863 | − | 0.980140i | −0.115239 | − | 0.0533126i | ||||
\(339\) | 1.44320 | + | 9.01230i | 0.0783840 | + | 0.489481i | ||||
\(340\) | 1.42540 | + | 7.80719i | 0.0773031 | + | 0.423404i | ||||
\(341\) | −31.5633 | − | 18.2231i | −1.70925 | − | 0.986835i | ||||
\(342\) | 16.4598 | + | 24.9917i | 0.890044 | + | 1.35140i | ||||
\(343\) | −3.31975 | − | 5.74998i | −0.179250 | − | 0.310470i | ||||
\(344\) | −6.94438 | − | 14.5460i | −0.374416 | − | 0.784266i | ||||
\(345\) | −5.52026 | + | 3.07228i | −0.297201 | + | 0.165406i | ||||
\(346\) | −2.67757 | − | 3.79944i | −0.143947 | − | 0.204259i | ||||
\(347\) | 0.677943 | + | 1.86263i | 0.0363939 | + | 0.0999914i | 0.956559 | − | 0.291540i | \(-0.0941677\pi\) |
−0.920165 | + | 0.391531i | \(0.871945\pi\) | |||||||
\(348\) | 8.87688 | + | 7.59639i | 0.475851 | + | 0.407209i | ||||
\(349\) | 31.3630 | − | 5.53015i | 1.67882 | − | 0.296022i | 0.748603 | − | 0.663019i | \(-0.230725\pi\) |
0.930222 | + | 0.366997i | \(0.119614\pi\) | |||||||
\(350\) | 6.26720 | − | 23.6759i | 0.334996 | − | 1.26553i | ||||
\(351\) | 11.8727 | − | 12.8635i | 0.633719 | − | 0.686605i | ||||
\(352\) | −7.04959 | − | 24.8019i | −0.375744 | − | 1.32194i | ||||
\(353\) | 6.25698 | + | 35.4851i | 0.333025 | + | 1.88868i | 0.445917 | + | 0.895074i | \(0.352878\pi\) |
−0.112892 | + | 0.993607i | \(0.536011\pi\) | |||||||
\(354\) | −11.5066 | + | 0.859397i | −0.611568 | + | 0.0456764i | ||||
\(355\) | 3.01223 | + | 8.27603i | 0.159872 | + | 0.439246i | ||||
\(356\) | −2.99740 | − | 8.08271i | −0.158862 | − | 0.428383i | ||||
\(357\) | 34.3871 | + | 0.541439i | 1.81996 | + | 0.0286560i | ||||
\(358\) | −9.97023 | − | 6.93636i | −0.526943 | − | 0.366598i | ||||
\(359\) | 8.08048 | + | 13.9958i | 0.426472 | + | 0.738670i | 0.996557 | − | 0.0829153i | \(-0.0264231\pi\) |
−0.570085 | + | 0.821586i | \(0.693090\pi\) | |||||||
\(360\) | 4.64007 | + | 4.85283i | 0.244553 | + | 0.255767i | ||||
\(361\) | 15.3753 | − | 26.6308i | 0.809228 | − | 1.40162i | ||||
\(362\) | −14.7948 | + | 6.95352i | −0.777597 | + | 0.365469i | ||||
\(363\) | −13.1407 | + | 10.6784i | −0.689709 | + | 0.560470i | ||||
\(364\) | 20.5396 | + | 17.0240i | 1.07657 | + | 0.892298i | ||||
\(365\) | −2.05973 | − | 0.363187i | −0.107811 | − | 0.0190101i | ||||
\(366\) | 12.2459 | − | 5.52185i | 0.640102 | − | 0.288632i | ||||
\(367\) | −15.7119 | + | 13.1839i | −0.820156 | + | 0.688193i | −0.953009 | − | 0.302943i | \(-0.902031\pi\) |
0.132853 | + | 0.991136i | \(0.457586\pi\) | |||||||
\(368\) | −18.4371 | + | 0.223218i | −0.961102 | + | 0.0116361i | ||||
\(369\) | 5.75036 | + | 0.181129i | 0.299352 | + | 0.00942918i | ||||
\(370\) | 4.44508 | − | 1.20549i | 0.231089 | − | 0.0626702i | ||||
\(371\) | 2.64755 | − | 7.27409i | 0.137454 | − | 0.377652i | ||||
\(372\) | 23.8526 | + | 14.0812i | 1.23670 | + | 0.730079i | ||||
\(373\) | 16.8068 | − | 20.0295i | 0.870221 | − | 1.03709i | −0.128748 | − | 0.991677i | \(-0.541096\pi\) |
0.998968 | − | 0.0454111i | \(-0.0144598\pi\) | |||||||
\(374\) | 32.1944 | − | 2.91486i | 1.66473 | − | 0.150724i | ||||
\(375\) | 4.20338 | + | 12.1401i | 0.217062 | + | 0.626910i | ||||
\(376\) | −18.3076 | − | 12.5730i | −0.944144 | − | 0.648401i | ||||
\(377\) | −11.3623 | −0.585190 | ||||||||
\(378\) | 24.5479 | − | 15.6190i | 1.26261 | − | 0.803354i | ||||
\(379\) | 6.99042i | 0.359074i | 0.983751 | + | 0.179537i | \(0.0574599\pi\) | ||||
−0.983751 | + | 0.179537i | \(0.942540\pi\) | |||||||
\(380\) | 3.75419 | − | 10.5121i | 0.192586 | − | 0.539260i | ||||
\(381\) | −5.76722 | + | 29.9429i | −0.295464 | + | 1.53402i | ||||
\(382\) | 2.94934 | + | 32.5752i | 0.150901 | + | 1.66669i | ||||
\(383\) | −7.84570 | − | 6.58332i | −0.400896 | − | 0.336392i | 0.419944 | − | 0.907550i | \(-0.362050\pi\) |
−0.820840 | + | 0.571158i | \(0.806494\pi\) | |||||||
\(384\) | 5.17473 | + | 18.9003i | 0.264072 | + | 0.964503i | ||||
\(385\) | 13.4191 | + | 4.88415i | 0.683900 | + | 0.248919i | ||||
\(386\) | 3.60109 | − | 0.976601i | 0.183291 | − | 0.0497077i | ||||
\(387\) | 11.3962 | − | 12.7441i | 0.579302 | − | 0.647819i | ||||
\(388\) | 11.2694 | − | 6.59765i | 0.572115 | − | 0.334945i | ||||
\(389\) | −7.20890 | − | 8.59123i | −0.365506 | − | 0.435593i | 0.551678 | − | 0.834057i | \(-0.313988\pi\) |
−0.917184 | + | 0.398464i | \(0.869543\pi\) | |||||||
\(390\) | −6.49701 | − | 0.651770i | −0.328989 | − | 0.0330037i | ||||
\(391\) | 4.01415 | − | 22.7654i | 0.203004 | − | 1.15130i | ||||
\(392\) | 14.2586 | + | 19.9750i | 0.720170 | + | 1.00889i | ||||
\(393\) | −6.48094 | + | 16.9701i | −0.326920 | + | 0.856026i | ||||
\(394\) | −20.5396 | + | 9.65356i | −1.03477 | + | 0.486339i | ||||
\(395\) | −0.593021 | − | 0.342381i | −0.0298381 | − | 0.0172271i | ||||
\(396\) | 21.3904 | − | 17.0407i | 1.07491 | − | 0.856327i | ||||
\(397\) | −3.99340 | + | 2.30559i | −0.200423 | + | 0.115714i | −0.596853 | − | 0.802351i | \(-0.703582\pi\) |
0.396430 | + | 0.918065i | \(0.370249\pi\) | |||||||
\(398\) | 15.5442 | − | 22.3430i | 0.779160 | − | 1.11995i | ||||
\(399\) | −41.5050 | − | 24.8423i | −2.07785 | − | 1.24367i | ||||
\(400\) | −2.82926 | + | 17.2653i | −0.141463 | + | 0.863263i | ||||
\(401\) | 14.3732 | − | 5.23142i | 0.717764 | − | 0.261245i | 0.0427879 | − | 0.999084i | \(-0.486376\pi\) |
0.674976 | + | 0.737839i | \(0.264154\pi\) | |||||||
\(402\) | 7.50881 | + | 11.0193i | 0.374506 | + | 0.549595i | ||||
\(403\) | −26.5282 | + | 4.67764i | −1.32147 | + | 0.233010i | ||||
\(404\) | 4.79981 | − | 8.43096i | 0.238799 | − | 0.419456i | ||||
\(405\) | −2.85201 | + | 6.52543i | −0.141718 | + | 0.324251i | ||||
\(406\) | −18.2567 | − | 4.83268i | −0.906062 | − | 0.239842i | ||||
\(407\) | −3.25761 | − | 18.4748i | −0.161474 | − | 0.915762i | ||||
\(408\) | −24.4879 | + | 1.97806i | −1.21233 | + | 0.0979287i | ||||
\(409\) | 0.943481 | − | 0.343399i | 0.0466521 | − | 0.0169800i | −0.318589 | − | 0.947893i | \(-0.603209\pi\) |
0.365241 | + | 0.930913i | \(0.380987\pi\) | |||||||
\(410\) | −1.23621 | − | 1.75417i | −0.0610523 | − | 0.0866324i | ||||
\(411\) | 6.08055 | − | 10.1590i | 0.299931 | − | 0.501107i | ||||
\(412\) | 4.89121 | + | 5.75797i | 0.240973 | + | 0.283675i | ||||
\(413\) | 16.1525 | − | 9.32565i | 0.794812 | − | 0.458885i | ||||
\(414\) | −7.75738 | − | 17.9527i | −0.381254 | − | 0.882325i | ||||
\(415\) | 0.0196672 | − | 0.0340646i | 0.000965425 | − | 0.00167217i | ||||
\(416\) | −15.7744 | − | 10.6933i | −0.773404 | − | 0.524283i | ||||
\(417\) | 7.11862 | − | 18.6398i | 0.348601 | − | 0.912796i | ||||
\(418\) | −41.2649 | − | 19.0903i | −2.01833 | − | 0.933737i | ||||
\(419\) | 23.6393 | + | 4.16825i | 1.15486 | + | 0.203633i | 0.718096 | − | 0.695944i | \(-0.245014\pi\) |
0.436762 | + | 0.899577i | \(0.356125\pi\) | |||||||
\(420\) | −10.1620 | − | 3.81058i | −0.495854 | − | 0.185937i | ||||
\(421\) | −4.34097 | − | 5.17337i | −0.211566 | − | 0.252135i | 0.649817 | − | 0.760091i | \(-0.274846\pi\) |
−0.861383 | + | 0.507956i | \(0.830401\pi\) | |||||||
\(422\) | −21.6373 | + | 21.7687i | −1.05329 | + | 1.05968i | ||||
\(423\) | 4.81886 | − | 23.0583i | 0.234301 | − | 1.12113i | ||||
\(424\) | −1.38266 | + | 5.35413i | −0.0671477 | + | 0.260020i | ||||
\(425\) | −20.6116 | − | 7.50201i | −0.999809 | − | 0.363901i | ||||
\(426\) | −26.4223 | + | 6.72089i | −1.28017 | + | 0.325628i | ||||
\(427\) | −13.9574 | + | 16.6337i | −0.675444 | + | 0.804963i | ||||
\(428\) | 2.16086 | − | 12.7041i | 0.104449 | − | 0.614075i | ||||
\(429\) | −5.03024 | + | 26.1166i | −0.242862 | + | 1.26092i | ||||
\(430\) | −6.35450 | − | 0.536572i | −0.306441 | − | 0.0258758i | ||||
\(431\) | −29.2021 | −1.40662 | −0.703309 | − | 0.710884i | \(-0.748295\pi\) | ||||
−0.703309 | + | 0.710884i | \(0.748295\pi\) | |||||||
\(432\) | −16.3813 | + | 12.7927i | −0.788146 | + | 0.615489i | ||||
\(433\) | −11.3701 | −0.546412 | −0.273206 | − | 0.961956i | \(-0.588084\pi\) | ||||
−0.273206 | + | 0.961956i | \(0.588084\pi\) | |||||||
\(434\) | −44.6143 | − | 3.76721i | −2.14155 | − | 0.180832i | ||||
\(435\) | 4.36801 | − | 1.51238i | 0.209430 | − | 0.0725131i | ||||
\(436\) | −0.625550 | + | 3.67771i | −0.0299584 | + | 0.176131i | ||||
\(437\) | −20.8993 | + | 24.9068i | −0.999750 | + | 1.19146i | ||||
\(438\) | 1.75513 | − | 6.23211i | 0.0838634 | − | 0.297782i | ||||
\(439\) | −8.53681 | − | 3.10714i | −0.407440 | − | 0.148296i | 0.130166 | − | 0.991492i | \(-0.458449\pi\) |
−0.537606 | + | 0.843196i | \(0.680671\pi\) | |||||||
\(440\) | −9.87718 | − | 2.55069i | −0.470876 | − | 0.121599i | ||||
\(441\) | −13.7186 | + | 22.1223i | −0.653268 | + | 1.05344i | ||||
\(442\) | 16.8432 | − | 16.9455i | 0.801151 | − | 0.806015i | ||||
\(443\) | 17.5098 | + | 20.8674i | 0.831917 | + | 0.991440i | 0.999984 | + | 0.00566416i | \(0.00180297\pi\) |
−0.168067 | + | 0.985776i | \(0.553753\pi\) | |||||||
\(444\) | 2.33958 | + | 14.0641i | 0.111032 | + | 0.667452i | ||||
\(445\) | −3.35881 | − | 0.592249i | −0.159223 | − | 0.0280753i | ||||
\(446\) | −7.83772 | − | 3.62595i | −0.371127 | − | 0.171694i | ||||
\(447\) | 11.8845 | + | 14.6249i | 0.562116 | + | 0.691734i | ||||
\(448\) | −20.7977 | − | 23.8909i | −0.982599 | − | 1.12874i | ||||
\(449\) | 3.83919 | − | 6.64967i | 0.181183 | − | 0.313818i | −0.761101 | − | 0.648633i | \(-0.775341\pi\) |
0.942284 | + | 0.334816i | \(0.108674\pi\) | |||||||
\(450\) | −18.0539 | + | 4.29082i | −0.851071 | + | 0.202271i | ||||
\(451\) | −7.57008 | + | 4.37059i | −0.356461 | + | 0.205803i | ||||
\(452\) | 6.82314 | + | 8.03226i | 0.320934 | + | 0.377806i | ||||
\(453\) | −30.9528 | − | 0.487366i | −1.45429 | − | 0.0228984i | ||||
\(454\) | −23.5848 | − | 33.4666i | −1.10689 | − | 1.57066i | ||||
\(455\) | 9.91809 | − | 3.60989i | 0.464967 | − | 0.169234i | ||||
\(456\) | 31.2190 | + | 14.8118i | 1.46196 | + | 0.693624i | ||||
\(457\) | 2.12889 | + | 12.0735i | 0.0995853 | + | 0.564776i | 0.993245 | + | 0.116032i | \(0.0370175\pi\) |
−0.893660 | + | 0.448744i | \(0.851871\pi\) | |||||||
\(458\) | −17.5789 | − | 4.65328i | −0.821409 | − | 0.217434i | ||||
\(459\) | −11.9490 | − | 23.1568i | −0.557729 | − | 1.08087i | ||||
\(460\) | −3.60916 | + | 6.33957i | −0.168278 | + | 0.295584i | ||||
\(461\) | 16.2573 | − | 2.86660i | 0.757177 | − | 0.133511i | 0.218285 | − | 0.975885i | \(-0.429954\pi\) |
0.538893 | + | 0.842374i | \(0.318843\pi\) | |||||||
\(462\) | −19.1905 | + | 39.8238i | −0.892821 | + | 1.85277i | ||||
\(463\) | 37.1376 | − | 13.5170i | 1.72593 | − | 0.628187i | 0.727601 | − | 0.686001i | \(-0.240635\pi\) |
0.998327 | + | 0.0578141i | \(0.0184131\pi\) | |||||||
\(464\) | 13.3134 | + | 2.18166i | 0.618058 | + | 0.101281i | ||||
\(465\) | 9.57559 | − | 5.32925i | 0.444058 | − | 0.247138i | ||||
\(466\) | 22.4877 | − | 32.3236i | 1.04172 | − | 1.49736i | ||||
\(467\) | 4.76538 | − | 2.75129i | 0.220516 | − | 0.127315i | −0.385673 | − | 0.922635i | \(-0.626031\pi\) |
0.606189 | + | 0.795321i | \(0.292698\pi\) | |||||||
\(468\) | 4.01512 | − | 19.8105i | 0.185599 | − | 0.915740i | ||||
\(469\) | −18.6664 | − | 10.7771i | −0.861935 | − | 0.497638i | ||||
\(470\) | −7.95225 | + | 3.73754i | −0.366810 | + | 0.172400i | ||||
\(471\) | −13.5577 | + | 2.17109i | −0.624707 | + | 0.100039i | ||||
\(472\) | −10.8443 | + | 7.74092i | −0.499148 | + | 0.356305i | ||||
\(473\) | −4.51059 | + | 25.5808i | −0.207397 | + | 1.17621i | ||||
\(474\) | 1.23783 | − | 1.72081i | 0.0568556 | − | 0.0790394i | ||||
\(475\) | 19.8305 | + | 23.6331i | 0.909887 | + | 1.08436i | ||||
\(476\) | 34.2705 | − | 20.0637i | 1.57079 | − | 0.919616i | ||||
\(477\) | −5.80532 | + | 0.836130i | −0.265807 | + | 0.0382838i | ||||
\(478\) | 5.65297 | − | 1.53306i | 0.258561 | − | 0.0701206i | ||||
\(479\) | −15.7910 | − | 5.74745i | −0.721508 | − | 0.262608i | −0.0449423 | − | 0.998990i | \(-0.514310\pi\) |
−0.676566 | + | 0.736382i | \(0.736533\pi\) | |||||||
\(480\) | 7.48747 | + | 2.01117i | 0.341755 | + | 0.0917967i | ||||
\(481\) | −10.6215 | − | 8.91253i | −0.484301 | − | 0.406377i | ||||
\(482\) | −2.41041 | − | 26.6229i | −0.109791 | − | 1.21264i | ||||
\(483\) | 23.8935 | + | 20.6987i | 1.08719 | + | 0.941824i | ||||
\(484\) | −6.57579 | + | 18.4129i | −0.298900 | + | 0.836949i | ||||
\(485\) | − | 5.16647i | − | 0.234597i | ||||||
\(486\) | −19.2182 | − | 10.8010i | −0.871754 | − | 0.489945i | ||||
\(487\) | −6.70956 | −0.304039 | −0.152020 | − | 0.988377i | \(-0.548578\pi\) | ||||
−0.152020 | + | 0.988377i | \(0.548578\pi\) | |||||||
\(488\) | 8.78123 | − | 12.7864i | 0.397508 | − | 0.578815i | ||||
\(489\) | 18.4413 | − | 21.2876i | 0.833944 | − | 0.962661i | ||||
\(490\) | 9.67015 | − | 0.875528i | 0.436853 | − | 0.0395523i | ||||
\(491\) | −19.8688 | + | 23.6787i | −0.896667 | + | 1.06861i | 0.100615 | + | 0.994925i | \(0.467919\pi\) |
−0.997282 | + | 0.0736810i | \(0.976525\pi\) | |||||||
\(492\) | 5.78513 | − | 3.26571i | 0.260814 | − | 0.147230i | ||||
\(493\) | −5.78485 | + | 15.8938i | −0.260537 | + | 0.715819i | ||||
\(494\) | −32.4332 | + | 8.79574i | −1.45924 | + | 0.395739i | ||||
\(495\) | −1.54247 | − | 10.7095i | −0.0693290 | − | 0.481357i | ||||
\(496\) | 31.9816 | − | 0.387200i | 1.43601 | − | 0.0173858i | ||||
\(497\) | 33.7593 | − | 28.3274i | 1.51431 | − | 1.27066i | ||||
\(498\) | 0.0988476 | + | 0.0711042i | 0.00442947 | + | 0.00318626i | ||||
\(499\) | 13.9388 | + | 2.45779i | 0.623986 | + | 0.110026i | 0.476697 | − | 0.879068i | \(-0.341834\pi\) |
0.147289 | + | 0.989093i | \(0.452945\pi\) | |||||||
\(500\) | 11.4215 | + | 9.46655i | 0.510785 | + | 0.423357i | ||||
\(501\) | −3.30666 | − | 20.6490i | −0.147731 | − | 0.922528i | ||||
\(502\) | −4.05601 | + | 1.90631i | −0.181029 | + | 0.0850830i | ||||
\(503\) | 9.87132 | − | 17.0976i | 0.440140 | − | 0.762346i | −0.557559 | − | 0.830137i | \(-0.688262\pi\) |
0.997699 | + | 0.0677917i | \(0.0215953\pi\) | |||||||
\(504\) | 14.8773 | − | 30.1231i | 0.662686 | − | 1.34179i | ||||
\(505\) | −1.91914 | − | 3.32404i | −0.0854004 | − | 0.147918i | ||||
\(506\) | 24.3917 | + | 16.9695i | 1.08434 | + | 0.754385i | ||||
\(507\) | −1.39035 | − | 2.49817i | −0.0617475 | − | 0.110948i | ||||
\(508\) | 12.2428 | + | 33.0136i | 0.543186 | + | 1.46474i | ||||
\(509\) | −11.0783 | − | 30.4374i | −0.491037 | − | 1.34911i | −0.899733 | − | 0.436442i | \(-0.856239\pi\) |
0.408696 | − | 0.912671i | \(-0.365984\pi\) | |||||||
\(510\) | −4.21949 | + | 8.75625i | −0.186842 | + | 0.387733i | ||||
\(511\) | 1.81733 | + | 10.3066i | 0.0803939 | + | 0.455936i | ||||
\(512\) | 16.4298 | + | 15.5583i | 0.726103 | + | 0.687586i | ||||
\(513\) | −1.73045 | + | 36.6097i | −0.0764013 | + | 1.61636i | ||||
\(514\) | −1.67502 | + | 6.32780i | −0.0738819 | + | 0.279107i | ||||
\(515\) | 2.94363 | − | 0.519041i | 0.129712 | − | 0.0228717i | ||||
\(516\) | 3.61626 | − | 19.4071i | 0.159197 | − | 0.854352i | ||||
\(517\) | 12.2411 | + | 33.6321i | 0.538362 | + | 1.47914i | ||||
\(518\) | −13.2756 | − | 18.8380i | −0.583298 | − | 0.827693i | ||||
\(519\) | 0.0896241 | − | 5.69208i | 0.00393406 | − | 0.249854i | ||||
\(520\) | −6.80413 | + | 3.24835i | −0.298381 | + | 0.142450i | ||||
\(521\) | −3.03183 | − | 5.25129i | −0.132827 | − | 0.230063i | 0.791938 | − | 0.610601i | \(-0.209072\pi\) |
−0.924765 | + | 0.380538i | \(0.875739\pi\) | |||||||
\(522\) | 3.30868 | + | 13.9215i | 0.144817 | + | 0.609329i | ||||
\(523\) | −36.4139 | − | 21.0236i | −1.59227 | − | 0.919298i | −0.992917 | − | 0.118814i | \(-0.962091\pi\) |
−0.599354 | − | 0.800484i | \(-0.704576\pi\) | |||||||
\(524\) | 3.76737 | + | 20.6346i | 0.164578 | + | 0.901427i | ||||
\(525\) | 23.2787 | − | 18.9167i | 1.01597 | − | 0.825592i | ||||
\(526\) | 22.0393 | + | 10.1960i | 0.960958 | + | 0.444566i | ||||
\(527\) | −6.96306 | + | 39.4895i | −0.303316 | + | 1.72019i | ||||
\(528\) | 10.9086 | − | 29.6352i | 0.474736 | − | 1.28971i | ||||
\(529\) | −1.34164 | + | 1.12577i | −0.0583322 | + | 0.0489465i | ||||
\(530\) | 1.55167 | + | 1.54231i | 0.0674004 | + | 0.0669936i | ||||
\(531\) | −12.0100 | − | 7.44775i | −0.521192 | − | 0.323205i | ||||
\(532\) | −55.8536 | + | 0.338097i | −2.42156 | + | 0.0146584i | ||||
\(533\) | −2.20967 | + | 6.07101i | −0.0957113 | + | 0.262965i | ||||
\(534\) | 2.86209 | − | 10.1627i | 0.123855 | − | 0.439783i | ||||
\(535\) | −3.90559 | − | 3.27718i | −0.168853 | − | 0.141685i | ||||
\(536\) | 14.0132 | + | 6.38022i | 0.605279 | + | 0.275583i | ||||
\(537\) | −4.86699 | − | 14.0567i | −0.210026 | − | 0.606591i | ||||
\(538\) | 0.287006 | − | 3.39895i | 0.0123737 | − | 0.146539i | ||||
\(539\) | − | 39.5498i | − | 1.70353i | ||||||
\(540\) | 1.09334 | + | 8.15015i | 0.0470499 | + | 0.350727i | ||||
\(541\) | 10.0195i | 0.430773i | 0.976529 | + | 0.215387i | \(0.0691012\pi\) | ||||
−0.976529 | + | 0.215387i | \(0.930899\pi\) | |||||||
\(542\) | 24.7683 | + | 2.09143i | 1.06389 | + | 0.0898346i | ||||
\(543\) | −19.6600 | − | 3.78667i | −0.843693 | − | 0.162501i | ||||
\(544\) | −22.9891 | + | 16.6212i | −0.985648 | + | 0.712627i | ||||
\(545\) | 1.13063 | + | 0.948714i | 0.0484310 | + | 0.0406384i | ||||
\(546\) | 8.05440 | + | 31.6648i | 0.344697 | + | 1.35513i | ||||
\(547\) | 3.01183 | − | 8.27494i | 0.128777 | − | 0.353811i | −0.858502 | − | 0.512810i | \(-0.828605\pi\) |
0.987279 | + | 0.158999i | \(0.0508267\pi\) | |||||||
\(548\) | −0.0827547 | − | 13.6711i | −0.00353511 | − | 0.583999i | ||||
\(549\) | 16.1044 | + | 3.36560i | 0.687319 | + | 0.143640i | ||||
\(550\) | 19.8760 | − | 19.9967i | 0.847516 | − | 0.852662i | ||||
\(551\) | 18.2237 | − | 15.2915i | 0.776354 | − | 0.651438i | ||||
\(552\) | −18.4117 | − | 13.0757i | −0.783655 | − | 0.556541i | ||||
\(553\) | −0.594995 | + | 3.37438i | −0.0253017 | + | 0.143493i | ||||
\(554\) | 9.58001 | − | 20.7078i | 0.407016 | − | 0.879790i | ||||
\(555\) | 5.26952 | + | 2.01245i | 0.223679 | + | 0.0854239i | ||||
\(556\) | −4.13806 | − | 22.6649i | −0.175493 | − | 0.961208i | ||||
\(557\) | 3.90866 | + | 2.25666i | 0.165615 | + | 0.0956179i | 0.580517 | − | 0.814248i | \(-0.302851\pi\) |
−0.414901 | + | 0.909866i | \(0.636184\pi\) | |||||||
\(558\) | 13.4562 | + | 31.1412i | 0.569645 | + | 1.31831i | ||||
\(559\) | 9.59927 | + | 16.6264i | 0.406006 | + | 0.703223i | ||||
\(560\) | −12.3143 | + | 2.32539i | −0.520372 | + | 0.0982656i | ||||
\(561\) | 33.9711 | + | 20.3330i | 1.43426 | + | 0.858459i | ||||
\(562\) | −10.6184 | + | 7.48310i | −0.447911 | + | 0.315655i | ||||
\(563\) | −5.14318 | − | 14.1308i | −0.216759 | − | 0.595541i | 0.782886 | − | 0.622165i | \(-0.213747\pi\) |
−0.999646 | + | 0.0266239i | \(0.991524\pi\) | |||||||
\(564\) | −9.05502 | − | 25.6492i | −0.381285 | − | 1.08002i | ||||
\(565\) | 4.10631 | − | 0.724053i | 0.172754 | − | 0.0304611i | ||||
\(566\) | −0.0157335 | − | 0.00416479i | −0.000661329 | − | 0.000175059i | ||||
\(567\) | 35.5640 | + | 2.24266i | 1.49355 | + | 0.0941829i | ||||
\(568\) | −22.0577 | + | 22.4619i | −0.925520 | + | 0.942482i | ||||
\(569\) | 4.81063 | + | 27.2824i | 0.201672 | + | 1.14374i | 0.902591 | + | 0.430499i | \(0.141662\pi\) |
−0.700919 | + | 0.713241i | \(0.747227\pi\) | |||||||
\(570\) | 11.2975 | − | 7.69834i | 0.473199 | − | 0.322448i | ||||
\(571\) | −13.0209 | − | 35.7745i | −0.544906 | − | 1.49712i | −0.840504 | − | 0.541805i | \(-0.817741\pi\) |
0.295598 | − | 0.955312i | \(-0.404481\pi\) | |||||||
\(572\) | 10.6783 | + | 28.7949i | 0.446483 | + | 1.20398i | ||||
\(573\) | −20.5735 | + | 34.3730i | −0.859469 | + | 1.43595i | ||||
\(574\) | −6.13257 | + | 8.81488i | −0.255968 | + | 0.367926i | ||||
\(575\) | −10.0810 | − | 17.4608i | −0.420406 | − | 0.728164i | ||||
\(576\) | −8.50834 | + | 22.4412i | −0.354514 | + | 0.935051i | ||||
\(577\) | −5.45660 | + | 9.45110i | −0.227161 | + | 0.393454i | −0.956966 | − | 0.290201i | \(-0.906278\pi\) |
0.729805 | + | 0.683656i | \(0.239611\pi\) | |||||||
\(578\) | −4.90188 | − | 10.4296i | −0.203891 | − | 0.433814i | ||||
\(579\) | 4.26900 | + | 1.63035i | 0.177414 | + | 0.0677550i | ||||
\(580\) | 3.40607 | − | 4.10947i | 0.141430 | − | 0.170636i | ||||
\(581\) | −0.193833 | − | 0.0341780i | −0.00804154 | − | 0.00141794i | ||||
\(582\) | 15.9136 | + | 1.59643i | 0.659640 | + | 0.0661741i | ||||
\(583\) | 6.82649 | − | 5.72810i | 0.282724 | − | 0.237234i | ||||
\(584\) | −2.00046 | − | 7.20354i | −0.0827796 | − | 0.298085i | ||||
\(585\) | −5.96127 | − | 5.33077i | −0.246468 | − | 0.220400i | ||||
\(586\) | −5.64119 | − | 20.8012i | −0.233035 | − | 0.859289i | ||||
\(587\) | −15.6970 | + | 43.1271i | −0.647883 | + | 1.78004i | −0.0224745 | + | 0.999747i | \(0.507154\pi\) |
−0.625409 | + | 0.780297i | \(0.715068\pi\) | |||||||
\(588\) | −0.291282 | + | 30.0562i | −0.0120122 | + | 1.23950i | ||||
\(589\) | 36.2525 | − | 43.2041i | 1.49376 | − | 1.78019i | ||||
\(590\) | 0.475318 | + | 5.24986i | 0.0195686 | + | 0.216133i | ||||
\(591\) | −27.2940 | − | 5.25702i | −1.12273 | − | 0.216245i | ||||
\(592\) | 10.7341 | + | 12.4823i | 0.441168 | + | 0.513021i | ||||
\(593\) | −15.2625 | −0.626755 | −0.313378 | − | 0.949629i | \(-0.601461\pi\) | ||||
−0.313378 | + | 0.949629i | \(0.601461\pi\) | |||||||
\(594\) | 33.4637 | − | 1.44186i | 1.37303 | − | 0.0591604i | ||||
\(595\) | − | 15.7114i | − | 0.644105i | ||||||
\(596\) | 20.4925 | + | 7.31850i | 0.839407 | + | 0.299777i | ||||
\(597\) | 31.5006 | − | 10.9068i | 1.28924 | − | 0.446386i | ||||
\(598\) | 21.8722 | − | 1.98030i | 0.894422 | − | 0.0809803i | ||||
\(599\) | −0.191609 | − | 0.160779i | −0.00782893 | − | 0.00656925i | 0.638865 | − | 0.769319i | \(-0.279404\pi\) |
−0.646694 | + | 0.762750i | \(0.723849\pi\) | |||||||
\(600\) | −15.2522 | + | 15.0503i | −0.622669 | + | 0.614425i | ||||
\(601\) | 40.8905 | + | 14.8829i | 1.66796 | + | 0.607087i | 0.991583 | − | 0.129472i | \(-0.0413282\pi\) |
0.676374 | + | 0.736559i | \(0.263550\pi\) | |||||||
\(602\) | 8.35218 | + | 30.7976i | 0.340410 | + | 1.25522i | ||||
\(603\) | −0.514160 | + | 16.3232i | −0.0209382 | + | 0.664734i | ||||
\(604\) | −30.8479 | + | 18.0599i | −1.25518 | + | 0.734847i | ||||
\(605\) | 4.97224 | + | 5.92569i | 0.202150 | + | 0.240913i | ||||
\(606\) | 10.8316 | − | 4.88414i | 0.440004 | − | 0.198405i | ||||
\(607\) | −4.64267 | + | 26.3299i | −0.188440 | + | 1.06870i | 0.733015 | + | 0.680213i | \(0.238113\pi\) |
−0.921455 | + | 0.388485i | \(0.872999\pi\) | |||||||
\(608\) | 39.6911 | − | 4.07862i | 1.60969 | − | 0.165410i | ||||
\(609\) | −14.5868 | − | 17.9504i | −0.591087 | − | 0.727386i | ||||
\(610\) | −2.61038 | − | 5.55403i | −0.105691 | − | 0.224876i | ||||
\(611\) | 22.9089 | + | 13.2265i | 0.926794 | + | 0.535085i | ||||
\(612\) | −25.6669 | − | 15.7024i | −1.03752 | − | 0.634732i | ||||
\(613\) | 20.7249 | − | 11.9655i | 0.837070 | − | 0.483283i | −0.0191971 | − | 0.999816i | \(-0.506111\pi\) |
0.856267 | + | 0.516533i | \(0.172778\pi\) | |||||||
\(614\) | 18.1894 | + | 12.6545i | 0.734065 | + | 0.510694i | ||||
\(615\) | 0.0413787 | − | 2.62799i | 0.00166855 | − | 0.105971i | ||||
\(616\) | 4.91041 | + | 50.8085i | 0.197846 | + | 2.04713i | ||||
\(617\) | 7.04370 | − | 2.56370i | 0.283569 | − | 0.103210i | −0.196320 | − | 0.980540i | \(-0.562899\pi\) |
0.479889 | + | 0.877329i | \(0.340677\pi\) | |||||||
\(618\) | 0.689159 | + | 9.22726i | 0.0277221 | + | 0.371175i | ||||
\(619\) | −14.0173 | + | 2.47163i | −0.563402 | + | 0.0993430i | −0.448094 | − | 0.893987i | \(-0.647897\pi\) |
−0.115309 | + | 0.993330i | \(0.536786\pi\) | |||||||
\(620\) | 6.26055 | − | 10.9968i | 0.251430 | − | 0.441642i | ||||
\(621\) | 5.26836 | − | 23.3657i | 0.211412 | − | 0.937634i | ||||
\(622\) | 11.7561 | − | 44.4118i | 0.471378 | − | 1.78075i | ||||
\(623\) | 2.96352 | + | 16.8069i | 0.118731 | + | 0.673356i | ||||
\(624\) | −7.90301 | − | 21.9616i | −0.316374 | − | 0.879167i | ||||
\(625\) | −15.0354 | + | 5.47243i | −0.601415 | + | 0.218897i | ||||
\(626\) | 14.6964 | − | 10.3569i | 0.587385 | − | 0.413946i | ||||
\(627\) | −27.0800 | − | 48.6572i | −1.08147 | − | 1.94318i | ||||
\(628\) | −12.0834 | + | 10.2645i | −0.482180 | + | 0.409596i | ||||
\(629\) | −17.8746 | + | 10.3199i | −0.712708 | + | 0.411482i | ||||
\(630\) | −7.31108 | − | 11.1008i | −0.291280 | − | 0.442266i | ||||
\(631\) | −22.2070 | + | 38.4637i | −0.884048 | + | 1.53122i | −0.0372471 | + | 0.999306i | \(0.511859\pi\) |
−0.846801 | + | 0.531910i | \(0.821474\pi\) | |||||||
\(632\) | 0.191182 | − | 2.44022i | 0.00760483 | − | 0.0970668i | ||||
\(633\) | −37.1180 | + | 5.94397i | −1.47531 | + | 0.236251i | ||||
\(634\) | −11.4220 | + | 24.6894i | −0.453626 | + | 0.980541i | ||||
\(635\) | 13.7190 | + | 2.41903i | 0.544421 | + | 0.0959961i | ||||
\(636\) | −5.23004 | + | 4.30284i | −0.207384 | + | 0.170619i | ||||
\(637\) | −18.7896 | − | 22.3926i | −0.744471 | − | 0.887226i | ||||
\(638\) | −15.4196 | − | 15.3265i | −0.610468 | − | 0.606783i | ||||
\(639\) | −31.0023 | − | 12.4026i | −1.22643 | − | 0.490640i | ||||
\(640\) | 8.59617 | − | 2.49968i | 0.339794 | − | 0.0988084i | ||||
\(641\) | −34.2487 | − | 12.4655i | −1.35274 | − | 0.492359i | −0.438941 | − | 0.898516i | \(-0.644646\pi\) |
−0.913803 | + | 0.406157i | \(0.866868\pi\) | |||||||
\(642\) | 11.3011 | − | 11.0172i | 0.446018 | − | 0.434816i | ||||
\(643\) | −12.8834 | + | 15.3538i | −0.508072 | + | 0.605496i | −0.957717 | − | 0.287711i | \(-0.907106\pi\) |
0.449646 | + | 0.893207i | \(0.351550\pi\) | |||||||
\(644\) | 35.9859 | + | 6.12092i | 1.41804 | + | 0.241198i | ||||
\(645\) | −5.90329 | − | 5.11396i | −0.232442 | − | 0.201362i | ||||
\(646\) | −4.20898 | + | 49.8460i | −0.165600 | + | 1.96116i | ||||
\(647\) | 24.2273 | 0.952475 | 0.476238 | − | 0.879317i | \(-0.342000\pi\) | ||||
0.476238 | + | 0.879317i | \(0.342000\pi\) | |||||||
\(648\) | −25.4417 | + | 0.849299i | −0.999443 | + | 0.0333636i | ||||
\(649\) | 21.4713 | 0.842824 | ||||||||
\(650\) | 1.75336 | − | 20.7647i | 0.0687726 | − | 0.814458i | ||||
\(651\) | −41.4463 | − | 35.9046i | −1.62441 | − | 1.40721i | ||||
\(652\) | 5.45336 | − | 32.0612i | 0.213570 | − | 1.25561i | ||||
\(653\) | 18.5592 | − | 22.1180i | 0.726277 | − | 0.865543i | −0.268948 | − | 0.963155i | \(-0.586676\pi\) |
0.995225 | + | 0.0976117i | \(0.0311203\pi\) | |||||||
\(654\) | −3.27156 | + | 3.18939i | −0.127928 | + | 0.124715i | ||||
\(655\) | 7.79829 | + | 2.83834i | 0.304704 | + | 0.110903i | ||||
\(656\) | 3.75477 | − | 6.68919i | 0.146599 | − | 0.261169i | ||||
\(657\) | 6.23193 | − | 4.90331i | 0.243131 | − | 0.191297i | ||||
\(658\) | 31.1837 | + | 30.9956i | 1.21567 | + | 1.20833i | ||||
\(659\) | 12.4603 | + | 14.8496i | 0.485384 | + | 0.578458i | 0.952037 | − | 0.305982i | \(-0.0989848\pi\) |
−0.466653 | + | 0.884440i | \(0.654540\pi\) | |||||||
\(660\) | −7.93779 | − | 9.64825i | −0.308978 | − | 0.375558i | ||||
\(661\) | −0.820430 | − | 0.144664i | −0.0319110 | − | 0.00562677i | 0.157670 | − | 0.987492i | \(-0.449602\pi\) |
−0.189581 | + | 0.981865i | \(0.560713\pi\) | |||||||
\(662\) | −1.91381 | + | 4.13683i | −0.0743825 | + | 0.160783i | ||||
\(663\) | 28.8939 | − | 4.62698i | 1.12215 | − | 0.179697i | ||||
\(664\) | 0.140172 | + | 0.0109820i | 0.00543974 | + | 0.000426184i | ||||
\(665\) | −11.0491 | + | 19.1376i | −0.428465 | + | 0.742123i | ||||
\(666\) | −7.82697 | + | 15.6092i | −0.303289 | + | 0.604843i | ||||
\(667\) | −13.4641 | + | 7.77352i | −0.521333 | + | 0.300992i | ||||
\(668\) | −15.6332 | − | 18.4035i | −0.604866 | − | 0.712053i | ||||
\(669\) | −5.14348 | − | 9.24179i | −0.198858 | − | 0.357308i | ||||
\(670\) | 4.97947 | − | 3.50917i | 0.192374 | − | 0.135571i | ||||
\(671\) | −23.4894 | + | 8.54944i | −0.906798 | + | 0.330047i | ||||
\(672\) | −3.35751 | − | 38.6485i | −0.129519 | − | 1.49090i | ||||
\(673\) | 4.69264 | + | 26.6133i | 0.180888 | + | 1.02587i | 0.931126 | + | 0.364698i | \(0.118828\pi\) |
−0.750238 | + | 0.661168i | \(0.770061\pi\) | |||||||
\(674\) | −10.6530 | + | 40.2443i | −0.410337 | + | 1.55015i | ||||
\(675\) | −20.9659 | − | 8.77291i | −0.806979 | − | 0.337669i | ||||
\(676\) | −2.86895 | − | 1.63331i | −0.110344 | − | 0.0628197i | ||||
\(677\) | −3.65534 | + | 0.644536i | −0.140486 | + | 0.0247715i | −0.243449 | − | 0.969914i | \(-0.578279\pi\) |
0.102963 | + | 0.994685i | \(0.467168\pi\) | |||||||
\(678\) | 0.961364 | + | 12.8718i | 0.0369210 | + | 0.494340i | ||||
\(679\) | −24.2931 | + | 8.84197i | −0.932284 | + | 0.339324i | ||||
\(680\) | 1.07967 | + | 11.1715i | 0.0414036 | + | 0.428407i | ||||
\(681\) | 0.789435 | − | 50.1374i | 0.0302512 | − | 1.92127i | ||||
\(682\) | −42.3105 | − | 29.4357i | −1.62015 | − | 1.12715i | ||||
\(683\) | 9.79814 | − | 5.65696i | 0.374916 | − | 0.216458i | −0.300688 | − | 0.953722i | \(-0.597216\pi\) |
0.675604 | + | 0.737265i | \(0.263883\pi\) | |||||||
\(684\) | 20.2213 | + | 37.1769i | 0.773180 | + | 1.42149i | ||||
\(685\) | −4.68423 | − | 2.70444i | −0.178975 | − | 0.103331i | ||||
\(686\) | −3.99399 | − | 8.49789i | −0.152491 | − | 0.324451i | ||||
\(687\) | −14.0453 | − | 17.2840i | −0.535862 | − | 0.659426i | ||||
\(688\) | −8.05515 | − | 21.3245i | −0.307100 | − | 0.812989i | ||||
\(689\) | 1.14372 | − | 6.48634i | 0.0435722 | − | 0.247110i | ||||
\(690\) | −8.14472 | + | 3.67258i | −0.310064 | + | 0.139813i | ||||
\(691\) | 19.6465 | + | 23.4138i | 0.747388 | + | 0.890703i | 0.996981 | − | 0.0776481i | \(-0.0247411\pi\) |
−0.249592 | + | 0.968351i | \(0.580297\pi\) | |||||||
\(692\) | −3.32113 | − | 5.67278i | −0.126250 | − | 0.215647i | ||||
\(693\) | −47.7171 | + | 25.5812i | −1.81262 | + | 0.971750i | ||||
\(694\) | 0.733717 | + | 2.70549i | 0.0278515 | + | 0.102699i | ||||
\(695\) | −8.56559 | − | 3.11762i | −0.324912 | − | 0.118258i | ||||
\(696\) | 11.6054 | + | 11.7611i | 0.439901 | + | 0.445803i | ||||
\(697\) | 7.36719 | + | 6.18180i | 0.279052 | + | 0.234153i | ||||
\(698\) | 44.8548 | − | 4.06112i | 1.69778 | − | 0.153716i | ||||
\(699\) | 45.5719 | − | 15.7788i | 1.72369 | − | 0.596810i | ||||
\(700\) | 11.6490 | − | 32.6183i | 0.440290 | − | 1.23286i | ||||
\(701\) | 17.0117i | 0.642524i | 0.946990 | + | 0.321262i | \(0.104107\pi\) | ||||
−0.946990 | + | 0.321262i | \(0.895893\pi\) | |||||||
\(702\) | 18.2617 | − | 16.7145i | 0.689243 | − | 0.630849i | ||||
\(703\) | 29.0300 | 1.09489 | ||||||||
\(704\) | −6.98303 | − | 35.7896i | −0.263183 | − | 1.34887i | ||||
\(705\) | −10.5673 | − | 2.03534i | −0.397989 | − | 0.0766555i | ||||
\(706\) | 4.59488 | + | 50.7501i | 0.172930 | + | 1.91000i | ||||
\(707\) | −12.3454 | + | 14.7127i | −0.464298 | + | 0.553329i | ||||
\(708\) | −16.3173 | − | 0.158135i | −0.613243 | − | 0.00594307i | ||||
\(709\) | −0.200362 | + | 0.550490i | −0.00752475 | + | 0.0206741i | −0.943398 | − | 0.331662i | \(-0.892391\pi\) |
0.935873 | + | 0.352336i | \(0.114613\pi\) | |||||||
\(710\) | 3.26004 | + | 12.0210i | 0.122347 | + | 0.451140i | ||||
\(711\) | 2.46635 | − | 0.810698i | 0.0924955 | − | 0.0304036i | ||||
\(712\) | −3.26215 | − | 11.7468i | −0.122254 | − | 0.440231i | ||||
\(713\) | −28.2352 | + | 23.6921i | −1.05742 | + | 0.887277i | ||||
\(714\) | 48.3938 | + | 4.85479i | 1.81109 | + | 0.181686i | ||||
\(715\) | 11.9659 | + | 2.10990i | 0.447498 | + | 0.0789059i | ||||
\(716\) | −13.2247 | − | 10.9611i | −0.494229 | − | 0.409635i | ||||
\(717\) | 6.70145 | + | 2.55931i | 0.250270 | + | 0.0955792i | ||||
\(718\) | 9.72161 | + | 20.6844i | 0.362807 | + | 0.771934i | ||||
\(719\) | −20.6296 | + | 35.7316i | −0.769356 | + | 1.33256i | 0.168557 | + | 0.985692i | \(0.446089\pi\) |
−0.937913 | + | 0.346872i | \(0.887244\pi\) | |||||||
\(720\) | 5.96133 | + | 7.39073i | 0.222166 | + | 0.275436i | ||||
\(721\) | −7.47833 | − | 12.9529i | −0.278508 | − | 0.482390i | ||||
\(722\) | 24.8358 | − | 35.6986i | 0.924291 | − | 1.32856i | ||||
\(723\) | 16.8141 | − | 28.0921i | 0.625324 | − | 1.04476i | ||||
\(724\) | −21.6762 | + | 8.03842i | −0.805591 | + | 0.298746i | ||||
\(725\) | 5.04547 | + | 13.8623i | 0.187384 | + | 0.514833i | ||||
\(726\) | −19.7885 | + | 13.4843i | −0.734421 | + | 0.500450i | ||||
\(727\) | 1.56785 | + | 8.89170i | 0.0581482 | + | 0.329775i | 0.999980 | − | 0.00630954i | \(-0.00200840\pi\) |
−0.941832 | + | 0.336084i | \(0.890897\pi\) | |||||||
\(728\) | 26.9186 | + | 26.4342i | 0.997671 | + | 0.979717i | ||||
\(729\) | −11.2343 | − | 24.5518i | −0.416084 | − | 0.909326i | ||||
\(730\) | −2.85936 | − | 0.756895i | −0.105830 | − | 0.0280139i | ||||
\(731\) | 28.1444 | − | 4.96262i | 1.04096 | − | 0.183549i | ||||
\(732\) | 17.9139 | − | 6.32422i | 0.662118 | − | 0.233750i | ||||
\(733\) | −4.19617 | − | 11.5289i | −0.154989 | − | 0.425829i | 0.837759 | − | 0.546040i | \(-0.183865\pi\) |
−0.992748 | + | 0.120211i | \(0.961643\pi\) | |||||||
\(734\) | −23.7100 | + | 16.7091i | −0.875152 | + | 0.616744i | ||||
\(735\) | 10.2038 | + | 6.10736i | 0.376373 | + | 0.225273i | ||||
\(736\) | −26.0081 | − | 1.87932i | −0.958673 | − | 0.0692726i | ||||
\(737\) | −12.4065 | − | 21.4888i | −0.457001 | − | 0.791548i | ||||
\(738\) | 8.08185 | + | 0.939495i | 0.297497 | + | 0.0345833i | ||||
\(739\) | 0.280828 | + | 0.162136i | 0.0103304 | + | 0.00596427i | 0.505156 | − | 0.863028i | \(-0.331435\pi\) |
−0.494826 | + | 0.868992i | \(0.664768\pi\) | |||||||
\(740\) | 6.40744 | − | 1.16984i | 0.235542 | − | 0.0430041i | ||||
\(741\) | −38.4487 | − | 14.6837i | −1.41245 | − | 0.539420i | ||||
\(742\) | 4.59649 | − | 9.93560i | 0.168742 | − | 0.364748i | ||||
\(743\) | 2.52359 | − | 14.3120i | 0.0925816 | − | 0.525056i | −0.902880 | − | 0.429893i | \(-0.858551\pi\) |
0.995462 | − | 0.0951637i | \(-0.0303374\pi\) | |||||||
\(744\) | 31.9375 | + | 22.6815i | 1.17088 | + | 0.831546i | ||||
\(745\) | 6.59497 | − | 5.53383i | 0.241621 | − | 0.202744i | ||||
\(746\) | 26.0674 | − | 26.2257i | 0.954396 | − | 0.960190i | ||||
\(747\) | 0.0465685 | + | 0.141673i | 0.00170385 | + | 0.00518356i | ||||
\(748\) | 45.7152 | − | 0.276727i | 1.67151 | − | 0.0101181i | ||||
\(749\) | −8.72545 | + | 23.9730i | −0.318821 | + | 0.875954i | ||||
\(750\) | 4.47882 | + | 17.6079i | 0.163544 | + | 0.642950i | ||||
\(751\) | 29.4541 | + | 24.7149i | 1.07480 | + | 0.901861i | 0.995478 | − | 0.0949883i | \(-0.0302814\pi\) |
0.0793178 | + | 0.996849i | \(0.474726\pi\) | |||||||
\(752\) | −24.3030 | − | 19.8963i | −0.886239 | − | 0.725542i | ||||
\(753\) | −5.38982 | − | 1.03812i | −0.196416 | − | 0.0378311i | ||||
\(754\) | −16.0118 | − | 1.35203i | −0.583115 | − | 0.0492381i | ||||
\(755\) | 14.1423i | 0.514692i | ||||||||
\(756\) | 36.4514 | − | 19.0892i | 1.32572 | − | 0.694269i | ||||
\(757\) | − | 18.0723i | − | 0.656850i | −0.944530 | − | 0.328425i | \(-0.893482\pi\) | ||
0.944530 | − | 0.328425i | \(-0.106518\pi\) | |||||||
\(758\) | −0.831806 | + | 9.85089i | −0.0302125 | + | 0.357800i | ||||
\(759\) | 11.9069 | + | 34.3890i | 0.432192 | + | 1.24824i | ||||
\(760\) | 6.54126 | − | 14.3669i | 0.237276 | − | 0.521143i | ||||
\(761\) | −28.4100 | − | 23.8388i | −1.02986 | − | 0.864157i | −0.0390275 | − | 0.999238i | \(-0.512426\pi\) |
−0.990835 | + | 0.135081i | \(0.956870\pi\) | |||||||
\(762\) | −11.6901 | + | 41.5093i | −0.423489 | + | 1.50372i | ||||
\(763\) | 2.52594 | − | 6.93996i | 0.0914451 | − | 0.251243i | ||||
\(764\) | 0.280000 | + | 46.2559i | 0.0101300 | + | 1.67348i | ||||
\(765\) | −10.4918 | + | 5.62466i | −0.379331 | + | 0.203360i | ||||
\(766\) | −10.2728 | − | 10.2108i | −0.371171 | − | 0.368931i | ||||
\(767\) | 12.1568 | − | 10.2007i | 0.438956 | − | 0.368328i | ||||
\(768\) | 5.04323 | + | 27.2501i | 0.181982 | + | 0.983302i | ||||
\(769\) | 3.69811 | − | 20.9730i | 0.133357 | − | 0.756307i | −0.842632 | − | 0.538490i | \(-0.818995\pi\) |
0.975989 | − | 0.217818i | \(-0.0698938\pi\) | |||||||
\(770\) | 18.3290 | + | 8.47950i | 0.660530 | + | 0.305580i | ||||
\(771\) | −6.22164 | + | 5.05582i | −0.224067 | + | 0.182081i | ||||
\(772\) | 5.19086 | − | 0.947722i | 0.186823 | − | 0.0341093i | ||||
\(773\) | 21.7593 | + | 12.5627i | 0.782627 | + | 0.451850i | 0.837361 | − | 0.546651i | \(-0.184097\pi\) |
−0.0547332 | + | 0.998501i | \(0.517431\pi\) | |||||||
\(774\) | 17.5760 | − | 16.6029i | 0.631755 | − | 0.596780i | ||||
\(775\) | 17.4867 | + | 30.2879i | 0.628142 | + | 1.08797i | ||||
\(776\) | 16.6658 | − | 7.95643i | 0.598269 | − | 0.285619i | ||||
\(777\) | 0.444364 | − | 28.2218i | 0.0159415 | − | 1.01245i | ||||
\(778\) | −9.13648 | − | 12.9646i | −0.327559 | − | 0.464802i | ||||
\(779\) | −4.62637 | − | 12.7109i | −0.165757 | − | 0.455414i | ||||
\(780\) | −9.07802 | − | 1.69157i | −0.325045 | − | 0.0605678i | ||||
\(781\) | 49.9621 | − | 8.80967i | 1.78779 | − | 0.315235i | ||||
\(782\) | 8.36564 | − | 31.6033i | 0.299155 | − | 1.13013i | ||||
\(783\) | −6.76485 | + | 16.1670i | −0.241756 | + | 0.577761i | ||||
\(784\) | 17.7164 | + | 29.8454i | 0.632728 | + | 1.06591i | ||||
\(785\) | 1.08923 | + | 6.17736i | 0.0388764 | + | 0.220479i | ||||
\(786\) | −11.1522 | + | 23.1430i | −0.397787 | + | 0.825483i | ||||
\(787\) | −15.0107 | − | 41.2415i | −0.535074 | − | 1.47010i | −0.852961 | − | 0.521974i | \(-0.825196\pi\) |
0.317888 | − | 0.948128i | \(-0.397026\pi\) | |||||||
\(788\) | −30.0931 | + | 11.1597i | −1.07202 | + | 0.397549i | ||||
\(789\) | 14.4632 | + | 25.9875i | 0.514904 | + | 0.925178i | ||||
\(790\) | −0.794944 | − | 0.553048i | −0.0282828 | − | 0.0196766i | ||||
\(791\) | −10.4321 | − | 18.0690i | −0.370924 | − | 0.642459i | ||||
\(792\) | 32.1710 | − | 21.4684i | 1.14315 | − | 0.762848i | ||||
\(793\) | −9.23765 | + | 16.0001i | −0.328038 | + | 0.568179i | ||||
\(794\) | −5.90184 | + | 2.77385i | −0.209448 | + | 0.0984402i | ||||
\(795\) | 0.423686 | + | 2.64577i | 0.0150266 | + | 0.0938358i | ||||
\(796\) | 24.5635 | − | 29.6361i | 0.870630 | − | 1.05042i | ||||
\(797\) | −45.5449 | − | 8.03080i | −1.61328 | − | 0.284466i | −0.707025 | − | 0.707188i | \(-0.749963\pi\) |
−0.906259 | + | 0.422723i | \(0.861074\pi\) | |||||||
\(798\) | −55.5328 | − | 39.9465i | −1.96584 | − | 1.41409i | ||||
\(799\) | 30.1648 | − | 25.3113i | 1.06715 | − | 0.895448i | ||||
\(800\) | −6.04143 | + | 23.9935i | −0.213597 | + | 0.848299i | ||||
\(801\) | 10.1624 | − | 7.99584i | 0.359071 | − | 0.282519i | ||||
\(802\) | 20.8772 | − | 5.66181i | 0.737200 | − | 0.199926i | ||||
\(803\) | −4.12064 | + | 11.3214i | −0.145414 | + | 0.399523i | ||||
\(804\) | 9.27019 | + | 16.4219i | 0.326934 | + | 0.579157i | ||||
\(805\) | 9.28303 | − | 11.0631i | 0.327184 | − | 0.389922i | ||||
\(806\) | −37.9402 | + | 3.43507i | −1.33639 | + | 0.120995i | ||||
\(807\) | 2.73540 | − | 3.15760i | 0.0962905 | − | 0.111153i | ||||
\(808\) | 7.76710 | − | 11.3098i | 0.273246 | − | 0.397876i | ||||
\(809\) | 16.8816 | 0.593524 | 0.296762 | − | 0.954951i | \(-0.404093\pi\) | ||||
0.296762 | + | 0.954951i | \(0.404093\pi\) | |||||||
\(810\) | −4.79553 | + | 8.85626i | −0.168498 | + | 0.311177i | ||||
\(811\) | 30.5802i | 1.07382i | 0.843640 | + | 0.536909i | \(0.180408\pi\) | ||||
−0.843640 | + | 0.536909i | \(0.819592\pi\) | |||||||
\(812\) | −25.1522 | − | 8.98261i | −0.882669 | − | 0.315228i | ||||
\(813\) | 23.0096 | + | 19.9330i | 0.806982 | + | 0.699081i | ||||
\(814\) | −2.39225 | − | 26.4223i | −0.0838485 | − | 0.926101i | ||||
\(815\) | −9.85652 | − | 8.27060i | −0.345259 | − | 0.289707i | ||||
\(816\) | −34.7437 | − | 0.126388i | −1.21627 | − | 0.00442448i | ||||
\(817\) | −37.7718 | − | 13.7478i | −1.32147 | − | 0.480975i | ||||
\(818\) | 1.37041 | − | 0.371650i | 0.0479154 | − | 0.0129945i | ||||
\(819\) | −14.8634 | + | 37.1535i | −0.519371 | + | 1.29825i | ||||
\(820\) | −1.53334 | − | 2.61908i | −0.0535465 | − | 0.0914622i | ||||
\(821\) | −24.4506 | − | 29.1391i | −0.853332 | − | 1.01696i | −0.999616 | − | 0.0277185i | \(-0.991176\pi\) |
0.146284 | − | 0.989243i | \(-0.453269\pi\) | |||||||
\(822\) | 9.77754 | − | 13.5925i | 0.341031 | − | 0.474094i | ||||
\(823\) | 4.64180 | − | 26.3249i | 0.161803 | − | 0.917629i | −0.790497 | − | 0.612466i | \(-0.790178\pi\) |
0.952300 | − | 0.305164i | \(-0.0987112\pi\) | |||||||
\(824\) | 6.20753 | + | 8.69614i | 0.216250 | + | 0.302944i | ||||
\(825\) | 34.0965 | − | 5.46011i | 1.18709 | − | 0.190097i | ||||
\(826\) | 23.8717 | − | 11.2197i | 0.830604 | − | 0.390382i | ||||
\(827\) | 42.2208 | + | 24.3762i | 1.46816 | + | 0.847643i | 0.999364 | − | 0.0356625i | \(-0.0113541\pi\) |
0.468797 | + | 0.883306i | \(0.344687\pi\) | |||||||
\(828\) | −8.79546 | − | 26.2219i | −0.305663 | − | 0.911275i | ||||
\(829\) | −10.2346 | + | 5.90895i | −0.355462 | + | 0.205226i | −0.667088 | − | 0.744979i | \(-0.732460\pi\) |
0.311626 | + | 0.950205i | \(0.399126\pi\) | |||||||
\(830\) | 0.0317684 | − | 0.0456636i | 0.00110270 | − | 0.00158501i | ||||
\(831\) | 24.4175 | − | 13.5894i | 0.847032 | − | 0.471412i | ||||
\(832\) | −20.9569 | − | 16.9460i | −0.726549 | − | 0.587498i | ||||
\(833\) | −40.8892 | + | 14.8824i | −1.41673 | + | 0.515646i | ||||
\(834\) | 12.2496 | − | 25.4201i | 0.424167 | − | 0.880227i | ||||
\(835\) | −9.40837 | + | 1.65895i | −0.325590 | + | 0.0574103i | ||||
\(836\) | −55.8788 | − | 31.8122i | −1.93261 | − | 1.10025i | ||||
\(837\) | −9.13863 | + | 40.5308i | −0.315877 | + | 1.40095i | ||||
\(838\) | 32.8165 | + | 8.68680i | 1.13363 | + | 0.300080i | ||||
\(839\) | 6.08118 | + | 34.4881i | 0.209946 | + | 1.19066i | 0.889465 | + | 0.457003i | \(0.151077\pi\) |
−0.679520 | + | 0.733657i | \(0.737812\pi\) | |||||||
\(840\) | −13.8668 | − | 6.57906i | −0.478451 | − | 0.226999i | ||||
\(841\) | −16.5618 | + | 6.02799i | −0.571095 | + | 0.207862i | ||||
\(842\) | −5.50170 | − | 7.80685i | −0.189601 | − | 0.269042i | ||||
\(843\) | −15.9078 | − | 0.250475i | −0.547894 | − | 0.00862683i | ||||
\(844\) | −33.0816 | + | 28.1018i | −1.13872 | + | 0.967303i | ||||
\(845\) | −1.13113 | + | 0.653058i | −0.0389120 | + | 0.0224659i | ||||
\(846\) | 9.53449 | − | 31.9203i | 0.327802 | − | 1.09744i | ||||
\(847\) | 19.3534 | − | 33.5211i | 0.664992 | − | 1.15180i | ||||
\(848\) | −2.58554 | + | 7.38051i | −0.0887877 | + | 0.253448i | ||||
\(849\) | −0.0125708 | − | 0.0154696i | −0.000431430 | − | 0.000530914i | ||||
\(850\) | −28.1532 | − | 13.0244i | −0.965645 | − | 0.446735i | ||||
\(851\) | −18.6838 | − | 3.29446i | −0.640472 | − | 0.112932i | ||||
\(852\) | −38.0340 | + | 6.32702i | −1.30302 | + | 0.216760i | ||||
\(853\) | 37.0236 | + | 44.1231i | 1.26767 | + | 1.51074i | 0.761255 | + | 0.648452i | \(0.224583\pi\) |
0.506410 | + | 0.862293i | \(0.330972\pi\) | |||||||
\(854\) | −21.6480 | + | 21.7794i | −0.740779 | + | 0.745276i | ||||
\(855\) | 16.7352 | + | 0.527138i | 0.572333 | + | 0.0180277i | ||||
\(856\) | 4.55677 | − | 17.6454i | 0.155747 | − | 0.603109i | ||||
\(857\) | 40.8515 | + | 14.8687i | 1.39546 | + | 0.507906i | 0.926828 | − | 0.375486i | \(-0.122524\pi\) |
0.468634 | + | 0.883393i | \(0.344746\pi\) | |||||||
\(858\) | −10.1963 | + | 36.2049i | −0.348095 | + | 1.23602i | ||||
\(859\) | −2.97958 | + | 3.55093i | −0.101662 | + | 0.121156i | −0.814476 | − | 0.580197i | \(-0.802976\pi\) |
0.712814 | + | 0.701353i | \(0.247420\pi\) | |||||||
\(860\) | −8.89091 | − | 1.51227i | −0.303177 | − | 0.0515681i | ||||
\(861\) | −12.4278 | + | 4.30300i | −0.423538 | + | 0.146646i | ||||
\(862\) | −41.1516 | − | 3.47483i | −1.40163 | − | 0.118353i | ||||
\(863\) | 24.4317 | 0.831665 | 0.415832 | − | 0.909441i | \(-0.363490\pi\) | ||||
0.415832 | + | 0.909441i | \(0.363490\pi\) | |||||||
\(864\) | −24.6067 | + | 16.0782i | −0.837138 | + | 0.546991i | ||||
\(865\) | −2.60070 | −0.0884265 | ||||||||
\(866\) | −16.0227 | − | 1.35295i | −0.544474 | − | 0.0459752i | ||||
\(867\) | 2.66941 | − | 13.8593i | 0.0906579 | − | 0.470688i | ||||
\(868\) | −62.4221 | − | 10.6175i | −2.11874 | − | 0.360382i | ||||
\(869\) | −2.53548 | + | 3.02167i | −0.0860103 | + | 0.102503i | ||||
\(870\) | 6.33535 | − | 1.61149i | 0.214789 | − | 0.0546345i | ||||
\(871\) | −17.2334 | − | 6.27245i | −0.583932 | − | 0.212534i | ||||
\(872\) | −1.31914 | + | 5.10819i | −0.0446719 | + | 0.172985i | ||||
\(873\) | 14.6014 | + | 13.0570i | 0.494182 | + | 0.441914i | ||||
\(874\) | −32.4150 | + | 32.6118i | −1.09645 | + | 1.10311i | ||||
\(875\) | −18.8775 | − | 22.4973i | −0.638175 | − | 0.760547i | ||||
\(876\) | 3.21490 | − | 8.57343i | 0.108621 | − | 0.289669i | ||||
\(877\) | −54.5573 | − | 9.61992i | −1.84227 | − | 0.324842i | −0.859708 | − | 0.510785i | \(-0.829355\pi\) |
−0.982560 | + | 0.185944i | \(0.940466\pi\) | |||||||
\(878\) | −11.6603 | − | 5.39440i | −0.393517 | − | 0.182052i | ||||
\(879\) | 9.41748 | − | 24.6593i | 0.317644 | − | 0.831736i | ||||
\(880\) | −13.6154 | − | 4.76974i | −0.458975 | − | 0.160788i | ||||
\(881\) | 8.83907 | − | 15.3097i | 0.297796 | − | 0.515798i | −0.677835 | − | 0.735214i | \(-0.737082\pi\) |
0.975631 | + | 0.219416i | \(0.0704152\pi\) | |||||||
\(882\) | −21.9646 | + | 29.5423i | −0.739588 | + | 0.994741i | ||||
\(883\) | 1.51759 | − | 0.876179i | 0.0510708 | − | 0.0294858i | −0.474247 | − | 0.880392i | \(-0.657280\pi\) |
0.525318 | + | 0.850906i | \(0.323946\pi\) | |||||||
\(884\) | 25.7518 | − | 21.8754i | 0.866128 | − | 0.735748i | ||||
\(885\) | −3.31564 | + | 5.53958i | −0.111454 | + | 0.186211i | ||||
\(886\) | 22.1918 | + | 31.4898i | 0.745547 | + | 1.05792i | ||||
\(887\) | −6.07325 | + | 2.21048i | −0.203920 | + | 0.0742207i | −0.441961 | − | 0.897034i | \(-0.645717\pi\) |
0.238041 | + | 0.971255i | \(0.423495\pi\) | |||||||
\(888\) | 1.62342 | + | 20.0975i | 0.0544783 | + | 0.674427i | ||||
\(889\) | −12.1044 | − | 68.6475i | −0.405969 | − | 2.30236i | ||||
\(890\) | −4.66276 | − | 1.23427i | −0.156296 | − | 0.0413728i | ||||
\(891\) | 34.1653 | + | 22.7065i | 1.14458 | + | 0.760696i | ||||
\(892\) | −10.6134 | − | 6.04231i | −0.355364 | − | 0.202312i | ||||
\(893\) | −54.5430 | + | 9.61740i | −1.82521 | + | 0.321834i | ||||
\(894\) | 15.0073 | + | 22.0236i | 0.501920 | + | 0.736578i | ||||
\(895\) | −6.38588 | + | 2.32427i | −0.213457 | + | 0.0776918i | ||||
\(896\) | −26.4653 | − | 36.1418i | −0.884143 | − | 1.20741i | ||||
\(897\) | 23.0793 | + | 13.8138i | 0.770595 | + | 0.461229i | ||||
\(898\) | 6.20144 | − | 8.91388i | 0.206945 | − | 0.297460i | ||||
\(899\) | 23.3552 | − | 13.4842i | 0.778941 | − | 0.449722i | ||||
\(900\) | −25.9522 | + | 3.89834i | −0.865072 | + | 0.129945i | ||||
\(901\) | −8.49087 | − | 4.90220i | −0.282872 | − | 0.163316i | ||||
\(902\) | −11.1878 | + | 5.25824i | −0.372513 | + | 0.175080i | ||||
\(903\) | −13.9432 | + | 36.5098i | −0.464002 | + | 1.21497i | ||||
\(904\) | 8.65939 | + | 12.1309i | 0.288007 | + | 0.403469i | ||||
\(905\) | −1.58829 | + | 9.00766i | −0.0527967 | + | 0.299425i | ||||
\(906\) | −43.5607 | − | 4.36995i | −1.44721 | − | 0.145182i | ||||
\(907\) | 2.37017 | + | 2.82465i | 0.0787001 | + | 0.0937911i | 0.803958 | − | 0.594686i | \(-0.202724\pi\) |
−0.725258 | + | 0.688478i | \(0.758279\pi\) | |||||||
\(908\) | −29.2534 | − | 49.9675i | −0.970809 | − | 1.65823i | ||||
\(909\) | 14.2445 | + | 2.97691i | 0.472461 | + | 0.0987378i | ||||
\(910\) | 14.4061 | − | 3.90688i | 0.477558 | − | 0.129512i | ||||
\(911\) | 21.2057 | + | 7.71823i | 0.702575 | + | 0.255716i | 0.668510 | − | 0.743703i | \(-0.266932\pi\) |
0.0340652 | + | 0.999420i | \(0.489155\pi\) | |||||||
\(912\) | 42.2313 | + | 24.5875i | 1.39842 | + | 0.814175i | ||||
\(913\) | −0.173572 | − | 0.145644i | −0.00574440 | − | 0.00482013i | ||||
\(914\) | 1.56337 | + | 17.2673i | 0.0517117 | + | 0.571153i | ||||
\(915\) | 1.42153 | − | 7.38046i | 0.0469943 | − | 0.243990i | ||||
\(916\) | −24.2185 | − | 8.64915i | −0.800201 | − | 0.285776i | ||||
\(917\) | − | 41.5257i | − | 1.37130i | ||||||
\(918\) | −14.0830 | − | 34.0544i | −0.464807 | − | 1.12396i | ||||
\(919\) | −18.6829 | −0.616291 | −0.308145 | − | 0.951339i | \(-0.599708\pi\) | ||||
−0.308145 | + | 0.951339i | \(0.599708\pi\) | |||||||
\(920\) | −5.84039 | + | 8.50425i | −0.192552 | + | 0.280377i | ||||
\(921\) | 8.87921 | + | 25.6446i | 0.292580 | + | 0.845019i | ||||
\(922\) | 23.2509 | − | 2.10511i | 0.765726 | − | 0.0693283i | ||||
\(923\) | 24.1025 | − | 28.7243i | 0.793344 | − | 0.945470i | ||||
\(924\) | −31.7819 | + | 53.8362i | −1.04555 | + | 1.77108i | ||||
\(925\) | −6.15697 | + | 16.9161i | −0.202440 | + | 0.556199i | ||||
\(926\) | 53.9426 | − | 14.6290i | 1.77266 | − | 0.480739i | ||||
\(927\) | −5.97243 | + | 9.63099i | −0.196160 | + | 0.316323i | ||||
\(928\) | 18.5016 | + | 4.65859i | 0.607344 | + | 0.152926i | ||||
\(929\) | 28.8670 | − | 24.2223i | 0.947094 | − | 0.794706i | −0.0317116 | − | 0.999497i | \(-0.510096\pi\) |
0.978806 | + | 0.204791i | \(0.0656514\pi\) | |||||||
\(930\) | 14.1281 | − | 6.37056i | 0.463277 | − | 0.208899i | ||||
\(931\) | 60.2719 | + | 10.6276i | 1.97533 | + | 0.348304i | ||||
\(932\) | 35.5359 | − | 42.8745i | 1.16402 | − | 1.40440i | ||||
\(933\) | 43.6667 | − | 35.4843i | 1.42958 | − | 1.16170i | ||||
\(934\) | 7.04275 | − | 3.31008i | 0.230446 | − | 0.108309i | ||||
\(935\) | 9.04347 | − | 15.6638i | 0.295753 | − | 0.512260i | ||||
\(936\) | 8.01540 | − | 27.4391i | 0.261992 | − | 0.896876i | ||||
\(937\) | 9.22218 | + | 15.9733i | 0.301275 | + | 0.521824i | 0.976425 | − | 0.215856i | \(-0.0692543\pi\) |
−0.675150 | + | 0.737681i | \(0.735921\pi\) | |||||||
\(938\) | −25.0223 | − | 17.4082i | −0.817007 | − | 0.568397i | ||||
\(939\) | 22.0171 | + | 0.346669i | 0.718501 | + | 0.0113131i | ||||
\(940\) | −11.6510 | + | 4.32068i | −0.380015 | + | 0.140925i | ||||
\(941\) | −2.21353 | − | 6.08164i | −0.0721592 | − | 0.198256i | 0.898370 | − | 0.439240i | \(-0.144752\pi\) |
−0.970529 | + | 0.240984i | \(0.922530\pi\) | |||||||
\(942\) | −19.3639 | + | 1.44624i | −0.630909 | + | 0.0471209i | ||||
\(943\) | 1.53506 | + | 8.70575i | 0.0499884 | + | 0.283498i | ||||
\(944\) | −16.2028 | + | 9.61812i | −0.527358 | + | 0.313043i | ||||
\(945\) | 0.768629 | − | 16.2613i | 0.0250035 | − | 0.528979i | ||||
\(946\) | −9.40023 | + | 35.5117i | −0.305628 | + | 1.15459i | ||||
\(947\) | −25.1285 | + | 4.43083i | −0.816566 | + | 0.143983i | −0.566305 | − | 0.824196i | \(-0.691627\pi\) |
−0.250261 | + | 0.968178i | \(0.580516\pi\) | |||||||
\(948\) | 1.94912 | − | 2.27767i | 0.0633044 | − | 0.0739753i | ||||
\(949\) | 3.04558 | + | 8.36767i | 0.0988638 | + | 0.271626i | ||||
\(950\) | 25.1330 | + | 35.6634i | 0.815422 | + | 1.15707i | ||||
\(951\) | −29.1123 | + | 16.2023i | −0.944031 | + | 0.525396i | ||||
\(952\) | 50.6814 | − | 24.1957i | 1.64259 | − | 0.784189i | ||||
\(953\) | 5.24734 | + | 9.08865i | 0.169978 | + | 0.294410i | 0.938412 | − | 0.345519i | \(-0.112297\pi\) |
−0.768434 | + | 0.639929i | \(0.778964\pi\) | |||||||
\(954\) | −8.28034 | + | 0.487486i | −0.268086 | + | 0.0157829i | ||||
\(955\) | 15.8490 | + | 9.15044i | 0.512863 | + | 0.296101i | ||||
\(956\) | 8.14858 | − | 1.48773i | 0.263544 | − | 0.0481165i | ||||
\(957\) | −4.21033 | − | 26.2921i | −0.136101 | − | 0.849902i | ||||
\(958\) | −21.5687 | − | 9.97830i | −0.696854 | − | 0.322384i | ||||
\(959\) | −4.69981 | + | 26.6540i | −0.151765 | + | 0.860702i | ||||
\(960\) | 10.3120 | + | 3.72508i | 0.332819 | + | 0.120227i | ||||
\(961\) | 25.2301 | − | 21.1706i | 0.813876 | − | 0.682923i | ||||
\(962\) | −13.9073 | − | 13.8234i | −0.448391 | − | 0.445685i | ||||
\(963\) | 19.1324 | − | 2.75561i | 0.616532 | − | 0.0887982i | ||||
\(964\) | −0.228836 | − | 37.8037i | −0.00737032 | − | 1.21758i | ||||
\(965\) | 0.714016 | − | 1.96174i | 0.0229850 | − | 0.0631508i | ||||
\(966\) | 31.2077 | + | 32.0118i | 1.00409 | + | 1.02996i | ||||
\(967\) | −26.6055 | − | 22.3246i | −0.855574 | − | 0.717912i | 0.105436 | − | 0.994426i | \(-0.466376\pi\) |
−0.961010 | + | 0.276514i | \(0.910821\pi\) | |||||||
\(968\) | −11.4576 | + | 25.1649i | −0.368261 | + | 0.808832i | ||||
\(969\) | −40.1149 | + | 46.3065i | −1.28868 | + | 1.48758i | ||||
\(970\) | 0.614770 | − | 7.28058i | 0.0197391 | − | 0.233765i | ||||
\(971\) | 13.9739i | 0.448445i | 0.974538 | + | 0.224223i | \(0.0719843\pi\) | ||||
−0.974538 | + | 0.224223i | \(0.928016\pi\) | |||||||
\(972\) | −25.7970 | − | 17.5076i | −0.827438 | − | 0.561557i | ||||
\(973\) | 45.6116i | 1.46224i | ||||||||
\(974\) | −9.45510 | − | 0.798386i | −0.302961 | − | 0.0255819i | ||||
\(975\) | 16.7109 | − | 19.2902i | 0.535179 | − | 0.617782i | ||||
\(976\) | 13.8960 | − | 16.9737i | 0.444800 | − | 0.543316i | ||||
\(977\) | −11.1693 | − | 9.37218i | −0.357339 | − | 0.299843i | 0.446390 | − | 0.894838i | \(-0.352709\pi\) |
−0.803729 | + | 0.594996i | \(0.797154\pi\) | |||||||
\(978\) | 28.5205 | − | 27.8042i | 0.911985 | − | 0.889079i | ||||
\(979\) | −6.71953 | + | 18.4618i | −0.214757 | + | 0.590041i | ||||
\(980\) | 13.7313 | − | 0.0831196i | 0.438632 | − | 0.00265516i | ||||
\(981\) | −5.53865 | + | 0.797723i | −0.176835 | + | 0.0254693i | ||||
\(982\) | −30.8167 | + | 31.0038i | −0.983401 | + | 0.989371i | ||||
\(983\) | 8.62000 | − | 7.23304i | 0.274935 | − | 0.230698i | −0.494885 | − | 0.868958i | \(-0.664790\pi\) |
0.769821 | + | 0.638260i | \(0.220346\pi\) | |||||||
\(984\) | 8.54100 | − | 3.91365i | 0.272277 | − | 0.124763i | ||||
\(985\) | −2.20502 | + | 12.5053i | −0.0702579 | + | 0.398452i | ||||
\(986\) | −10.0432 | + | 21.7091i | −0.319842 | + | 0.691359i | ||||
\(987\) | 8.51475 | + | 53.1717i | 0.271027 | + | 1.69247i | ||||
\(988\) | −46.7514 | + | 8.53564i | −1.48736 | + | 0.271555i | ||||
\(989\) | 22.7499 | + | 13.1346i | 0.723403 | + | 0.417657i | ||||
\(990\) | −0.899303 | − | 15.2754i | −0.0285817 | − | 0.485483i | ||||
\(991\) | −9.44162 | − | 16.3534i | −0.299923 | − | 0.519482i | 0.676195 | − | 0.736723i | \(-0.263628\pi\) |
−0.976118 | + | 0.217241i | \(0.930294\pi\) | |||||||
\(992\) | 45.1144 | + | 3.25992i | 1.43238 | + | 0.103502i | ||||
\(993\) | −4.87792 | + | 2.71478i | −0.154796 | + | 0.0861510i | ||||
\(994\) | 50.9443 | − | 35.9018i | 1.61585 | − | 1.13874i | ||||
\(995\) | −5.20863 | − | 14.3106i | −0.165125 | − | 0.453676i | ||||
\(996\) | 0.130835 | + | 0.111962i | 0.00414567 | + | 0.00354765i | ||||
\(997\) | −29.3371 | + | 5.17293i | −0.929117 | + | 0.163828i | −0.617672 | − | 0.786436i | \(-0.711924\pi\) |
−0.311445 | + | 0.950264i | \(0.600813\pi\) | |||||||
\(998\) | 19.3501 | + | 5.12212i | 0.612516 | + | 0.162138i | ||||
\(999\) | −19.0051 | + | 9.80663i | −0.601293 | + | 0.310268i |
(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 | 216.2.t.a.13.33 | yes | 204 | |
3.2 | odd | 2 | 648.2.t.a.253.2 | 204 | |||
4.3 | odd | 2 | 864.2.bf.a.337.9 | 204 | |||
8.3 | odd | 2 | 864.2.bf.a.337.26 | 204 | |||
8.5 | even | 2 | inner | 216.2.t.a.13.6 | ✓ | 204 | |
24.5 | odd | 2 | 648.2.t.a.253.29 | 204 | |||
27.2 | odd | 18 | 648.2.t.a.397.29 | 204 | |||
27.25 | even | 9 | inner | 216.2.t.a.133.6 | yes | 204 | |
108.79 | odd | 18 | 864.2.bf.a.241.26 | 204 | |||
216.29 | odd | 18 | 648.2.t.a.397.2 | 204 | |||
216.133 | even | 18 | inner | 216.2.t.a.133.33 | yes | 204 | |
216.187 | odd | 18 | 864.2.bf.a.241.9 | 204 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
216.2.t.a.13.6 | ✓ | 204 | 8.5 | even | 2 | inner | |
216.2.t.a.13.33 | yes | 204 | 1.1 | even | 1 | trivial | |
216.2.t.a.133.6 | yes | 204 | 27.25 | even | 9 | inner | |
216.2.t.a.133.33 | yes | 204 | 216.133 | even | 18 | inner | |
648.2.t.a.253.2 | 204 | 3.2 | odd | 2 | |||
648.2.t.a.253.29 | 204 | 24.5 | odd | 2 | |||
648.2.t.a.397.2 | 204 | 216.29 | odd | 18 | |||
648.2.t.a.397.29 | 204 | 27.2 | odd | 18 | |||
864.2.bf.a.241.9 | 204 | 216.187 | odd | 18 | |||
864.2.bf.a.241.26 | 204 | 108.79 | odd | 18 | |||
864.2.bf.a.337.9 | 204 | 4.3 | odd | 2 | |||
864.2.bf.a.337.26 | 204 | 8.3 | odd | 2 |