Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [588,2,Mod(55,588)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(588, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([7, 0, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("588.55");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 588.x (of order \(14\), 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: | \(4.69520363885\) |
Analytic rank: | \(0\) |
Dimension: | \(168\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{14})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 139.3 | ||
Character | \(\chi\) | \(=\) | 588.139 |
Dual form | 588.2.x.b.55.3 |
$q$-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 \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(295\) | \(493\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{5}{14}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.37146 | − | 0.345091i | −0.969771 | − | 0.244016i | ||||
\(3\) | 0.900969 | − | 0.433884i | 0.520175 | − | 0.250503i | ||||
\(4\) | 1.76182 | + | 0.946559i | 0.880912 | + | 0.473279i | ||||
\(5\) | 1.63442 | + | 3.39390i | 0.730933 | + | 1.51780i | 0.851077 | + | 0.525041i | \(0.175950\pi\) |
−0.120144 | + | 0.992756i | \(0.538336\pi\) | |||||||
\(6\) | −1.38538 | + | 0.284140i | −0.565577 | + | 0.116000i | ||||
\(7\) | −0.364664 | + | 2.62050i | −0.137830 | + | 0.990456i | ||||
\(8\) | −2.08963 | − | 1.90616i | −0.738796 | − | 0.673929i | ||||
\(9\) | 0.623490 | − | 0.781831i | 0.207830 | − | 0.260610i | ||||
\(10\) | −1.07034 | − | 5.21863i | −0.338471 | − | 1.65028i | ||||
\(11\) | 3.48475 | − | 2.77900i | 1.05069 | − | 0.837899i | 0.0635872 | − | 0.997976i | \(-0.479746\pi\) |
0.987104 | + | 0.160078i | \(0.0511745\pi\) | |||||||
\(12\) | 1.99805 | + | 0.0883928i | 0.576786 | + | 0.0255168i | ||||
\(13\) | 0.0601076 | − | 0.0479342i | 0.0166708 | − | 0.0132946i | −0.615119 | − | 0.788434i | \(-0.710892\pi\) |
0.631790 | + | 0.775140i | \(0.282321\pi\) | |||||||
\(14\) | 1.40443 | − | 3.46808i | 0.375351 | − | 0.926883i | ||||
\(15\) | 2.94511 | + | 2.34865i | 0.760425 | + | 0.606419i | ||||
\(16\) | 2.20805 | + | 3.33534i | 0.552013 | + | 0.833835i | ||||
\(17\) | −5.54435 | + | 1.26546i | −1.34470 | + | 0.306920i | −0.833490 | − | 0.552535i | \(-0.813661\pi\) |
−0.511212 | + | 0.859454i | \(0.670803\pi\) | |||||||
\(18\) | −1.12490 | + | 0.857093i | −0.265141 | + | 0.202019i | ||||
\(19\) | 8.34358 | 1.91415 | 0.957074 | − | 0.289843i | \(-0.0936032\pi\) | ||||
0.957074 | + | 0.289843i | \(0.0936032\pi\) | |||||||
\(20\) | −0.332970 | + | 7.52652i | −0.0744545 | + | 1.68298i | ||||
\(21\) | 0.808442 | + | 2.51921i | 0.176416 | + | 0.549737i | ||||
\(22\) | −5.73821 | + | 2.60874i | −1.22339 | + | 0.556184i | ||||
\(23\) | −6.27198 | − | 1.43154i | −1.30780 | − | 0.298496i | −0.488852 | − | 0.872367i | \(-0.662584\pi\) |
−0.818946 | + | 0.573870i | \(0.805441\pi\) | |||||||
\(24\) | −2.70974 | − | 0.810734i | −0.553124 | − | 0.165490i | ||||
\(25\) | −5.72978 | + | 7.18492i | −1.14596 | + | 1.43698i | ||||
\(26\) | −0.0989770 | + | 0.0449974i | −0.0194110 | + | 0.00882472i | ||||
\(27\) | 0.222521 | − | 0.974928i | 0.0428242 | − | 0.187625i | ||||
\(28\) | −3.12293 | + | 4.27169i | −0.590178 | + | 0.807273i | ||||
\(29\) | 1.35757 | + | 5.94790i | 0.252094 | + | 1.10450i | 0.929481 | + | 0.368870i | \(0.120255\pi\) |
−0.677386 | + | 0.735627i | \(0.736888\pi\) | |||||||
\(30\) | −3.22862 | − | 4.23742i | −0.589463 | − | 0.773643i | ||||
\(31\) | 0.0893613 | 0.0160498 | 0.00802488 | − | 0.999968i | \(-0.497446\pi\) | ||||
0.00802488 | + | 0.999968i | \(0.497446\pi\) | |||||||
\(32\) | −1.87727 | − | 5.33628i | −0.331858 | − | 0.943330i | ||||
\(33\) | 1.93389 | − | 4.01576i | 0.336647 | − | 0.699055i | ||||
\(34\) | 8.04057 | + | 0.177769i | 1.37895 | + | 0.0304871i | ||||
\(35\) | −9.48972 | + | 3.04535i | −1.60406 | + | 0.514759i | ||||
\(36\) | 1.83853 | − | 0.787280i | 0.306422 | − | 0.131213i | ||||
\(37\) | 1.67314 | + | 7.33048i | 0.275062 | + | 1.20512i | 0.903953 | + | 0.427631i | \(0.140652\pi\) |
−0.628892 | + | 0.777493i | \(0.716491\pi\) | |||||||
\(38\) | −11.4429 | − | 2.87929i | −1.85629 | − | 0.467083i | ||||
\(39\) | 0.0333572 | − | 0.0692669i | 0.00534143 | − | 0.0110916i | ||||
\(40\) | 3.05399 | − | 10.2074i | 0.482878 | − | 1.61394i | ||||
\(41\) | −2.59948 | − | 5.39787i | −0.405970 | − | 0.843006i | −0.999277 | − | 0.0380290i | \(-0.987892\pi\) |
0.593307 | − | 0.804977i | \(-0.297822\pi\) | |||||||
\(42\) | −0.239392 | − | 3.73399i | −0.0369390 | − | 0.576167i | ||||
\(43\) | 1.87459 | − | 3.89263i | 0.285873 | − | 0.593621i | −0.707739 | − | 0.706474i | \(-0.750285\pi\) |
0.993612 | + | 0.112853i | \(0.0359990\pi\) | |||||||
\(44\) | 8.77000 | − | 1.59758i | 1.32213 | − | 0.240845i | ||||
\(45\) | 3.67250 | + | 0.838224i | 0.547464 | + | 0.124955i | ||||
\(46\) | 8.10778 | + | 4.12771i | 1.19543 | + | 0.608597i | ||||
\(47\) | 0.265244 | + | 0.332606i | 0.0386899 | + | 0.0485155i | 0.800800 | − | 0.598932i | \(-0.204408\pi\) |
−0.762110 | + | 0.647447i | \(0.775837\pi\) | |||||||
\(48\) | 3.43654 | + | 2.04700i | 0.496021 | + | 0.295459i | ||||
\(49\) | −6.73404 | − | 1.91120i | −0.962006 | − | 0.273029i | ||||
\(50\) | 10.3376 | − | 7.87656i | 1.46196 | − | 1.11391i | ||||
\(51\) | −4.44622 | + | 3.54574i | −0.622596 | + | 0.496504i | ||||
\(52\) | 0.151272 | − | 0.0275563i | 0.0209776 | − | 0.00382137i | ||||
\(53\) | −1.25947 | + | 5.51810i | −0.173002 | + | 0.757969i | 0.811750 | + | 0.584005i | \(0.198515\pi\) |
−0.984752 | + | 0.173965i | \(0.944342\pi\) | |||||||
\(54\) | −0.641618 | + | 1.26029i | −0.0873131 | + | 0.171504i | ||||
\(55\) | 15.1272 | + | 7.28485i | 2.03974 | + | 0.982289i | ||||
\(56\) | 5.75711 | − | 4.78077i | 0.769326 | − | 0.638857i | ||||
\(57\) | 7.51730 | − | 3.62014i | 0.995691 | − | 0.479500i | ||||
\(58\) | 0.190708 | − | 8.62582i | 0.0250412 | − | 1.13263i | ||||
\(59\) | 3.16168 | + | 1.52258i | 0.411616 | + | 0.198224i | 0.628220 | − | 0.778036i | \(-0.283784\pi\) |
−0.216604 | + | 0.976260i | \(0.569498\pi\) | |||||||
\(60\) | 2.96564 | + | 6.92563i | 0.382862 | + | 0.894095i | ||||
\(61\) | 9.24207 | − | 2.10944i | 1.18333 | − | 0.270086i | 0.414805 | − | 0.909910i | \(-0.363850\pi\) |
0.768521 | + | 0.639824i | \(0.220993\pi\) | |||||||
\(62\) | −0.122556 | − | 0.0308377i | −0.0155646 | − | 0.00391640i | ||||
\(63\) | 1.82143 | + | 1.91896i | 0.229478 | + | 0.241766i | ||||
\(64\) | 0.733107 | + | 7.96634i | 0.0916384 | + | 0.995792i | ||||
\(65\) | 0.260925 | + | 0.125655i | 0.0323637 | + | 0.0155855i | ||||
\(66\) | −4.03806 | + | 4.84011i | −0.497051 | + | 0.595776i | ||||
\(67\) | 0.257085i | 0.0314079i | 0.999877 | + | 0.0157039i | \(0.00499893\pi\) | ||||
−0.999877 | + | 0.0157039i | \(0.995001\pi\) | |||||||
\(68\) | −10.9660 | − | 3.01853i | −1.32982 | − | 0.366051i | ||||
\(69\) | −6.27198 | + | 1.43154i | −0.755058 | + | 0.172337i | ||||
\(70\) | 14.0657 | − | 0.901776i | 1.68118 | − | 0.107783i | ||||
\(71\) | −8.57858 | − | 1.95800i | −1.01809 | − | 0.232372i | −0.319265 | − | 0.947665i | \(-0.603436\pi\) |
−0.698825 | + | 0.715293i | \(0.746293\pi\) | |||||||
\(72\) | −2.79316 | + | 0.445267i | −0.329177 | + | 0.0524752i | ||||
\(73\) | −1.62689 | − | 1.29740i | −0.190413 | − | 0.151849i | 0.523643 | − | 0.851938i | \(-0.324572\pi\) |
−0.714056 | + | 0.700088i | \(0.753144\pi\) | |||||||
\(74\) | 0.235038 | − | 10.6309i | 0.0273226 | − | 1.23581i | ||||
\(75\) | −2.04494 | + | 8.95945i | −0.236129 | + | 1.03455i | ||||
\(76\) | 14.6999 | + | 7.89769i | 1.68620 | + | 0.905927i | ||||
\(77\) | 6.01159 | + | 10.1452i | 0.685085 | + | 1.15615i | ||||
\(78\) | −0.0696516 | + | 0.0834858i | −0.00788649 | + | 0.00945291i | ||||
\(79\) | − | 3.00184i | − | 0.337733i | −0.985639 | − | 0.168867i | \(-0.945989\pi\) | ||
0.985639 | − | 0.168867i | \(-0.0540107\pi\) | |||||||
\(80\) | −7.71093 | + | 12.9452i | −0.862108 | + | 1.44732i | ||||
\(81\) | −0.222521 | − | 0.974928i | −0.0247245 | − | 0.108325i | ||||
\(82\) | 1.70233 | + | 8.30004i | 0.187991 | + | 0.916586i | ||||
\(83\) | 9.36338 | − | 11.7413i | 1.02776 | − | 1.28878i | 0.0711357 | − | 0.997467i | \(-0.477338\pi\) |
0.956629 | − | 0.291309i | \(-0.0940909\pi\) | |||||||
\(84\) | −0.960248 | + | 5.20365i | −0.104772 | + | 0.567764i | ||||
\(85\) | −13.3566 | − | 16.7487i | −1.44873 | − | 1.81665i | ||||
\(86\) | −3.91425 | + | 4.69170i | −0.422084 | + | 0.505919i | ||||
\(87\) | 3.80383 | + | 4.76985i | 0.407813 | + | 0.511381i | ||||
\(88\) | −12.5790 | − | 0.835419i | −1.34093 | − | 0.0890560i | ||||
\(89\) | 6.00822 | + | 4.79140i | 0.636870 | + | 0.507887i | 0.887867 | − | 0.460101i | \(-0.152187\pi\) |
−0.250997 | + | 0.967988i | \(0.580758\pi\) | |||||||
\(90\) | −4.74743 | − | 2.41694i | −0.500423 | − | 0.254768i | ||||
\(91\) | 0.103693 | + | 0.174992i | 0.0108699 | + | 0.0183441i | ||||
\(92\) | −9.69510 | − | 8.45892i | −1.01078 | − | 0.881903i | ||||
\(93\) | 0.0805117 | − | 0.0387724i | 0.00834868 | − | 0.00402051i | ||||
\(94\) | −0.248994 | − | 0.547690i | −0.0256817 | − | 0.0564899i | ||||
\(95\) | 13.6369 | + | 28.3173i | 1.39911 | + | 2.90529i | ||||
\(96\) | −4.00669 | − | 3.99330i | −0.408931 | − | 0.407565i | ||||
\(97\) | − | 1.98364i | − | 0.201408i | −0.994916 | − | 0.100704i | \(-0.967891\pi\) | ||
0.994916 | − | 0.100704i | \(-0.0321095\pi\) | |||||||
\(98\) | 8.57595 | + | 4.94500i | 0.866302 | + | 0.499520i | ||||
\(99\) | − | 4.45716i | − | 0.447962i | ||||||
\(100\) | −16.8958 | + | 7.23499i | −1.68958 | + | 0.723499i | ||||
\(101\) | −2.35672 | − | 4.89378i | −0.234502 | − | 0.486949i | 0.750196 | − | 0.661215i | \(-0.229959\pi\) |
−0.984699 | + | 0.174266i | \(0.944245\pi\) | |||||||
\(102\) | 7.32144 | − | 3.32851i | 0.724930 | − | 0.329572i | ||||
\(103\) | −5.06447 | + | 2.43892i | −0.499017 | + | 0.240314i | −0.666423 | − | 0.745574i | \(-0.732175\pi\) |
0.167405 | + | 0.985888i | \(0.446461\pi\) | |||||||
\(104\) | −0.216973 | − | 0.0144099i | −0.0212759 | − | 0.00141301i | ||||
\(105\) | −7.22861 | + | 6.86120i | −0.705441 | + | 0.669585i | ||||
\(106\) | 3.63156 | − | 7.13324i | 0.352728 | − | 0.692841i | ||||
\(107\) | 1.97319 | + | 1.57357i | 0.190755 | + | 0.152122i | 0.714211 | − | 0.699931i | \(-0.246786\pi\) |
−0.523455 | + | 0.852053i | \(0.675357\pi\) | |||||||
\(108\) | 1.31487 | − | 1.50702i | 0.126523 | − | 0.145013i | ||||
\(109\) | −5.78930 | − | 7.25955i | −0.554514 | − | 0.695339i | 0.423019 | − | 0.906121i | \(-0.360970\pi\) |
−0.977533 | + | 0.210782i | \(0.932399\pi\) | |||||||
\(110\) | −18.2324 | − | 15.2112i | −1.73839 | − | 1.45033i | ||||
\(111\) | 4.68802 | + | 5.87859i | 0.444967 | + | 0.557971i | ||||
\(112\) | −9.54546 | + | 4.56993i | −0.901961 | + | 0.431817i | ||||
\(113\) | 12.8097 | − | 16.0628i | 1.20503 | − | 1.51106i | 0.401433 | − | 0.915889i | \(-0.368512\pi\) |
0.803598 | − | 0.595172i | \(-0.202916\pi\) | |||||||
\(114\) | −11.5590 | + | 2.37074i | −1.08260 | + | 0.222040i | ||||
\(115\) | −5.39252 | − | 23.6262i | −0.502855 | − | 2.20315i | ||||
\(116\) | −3.23824 | + | 11.7642i | −0.300663 | + | 1.09228i | ||||
\(117\) | − | 0.0768805i | − | 0.00710760i | ||||||
\(118\) | −3.81070 | − | 3.17924i | −0.350803 | − | 0.292672i | ||||
\(119\) | −1.29432 | − | 14.9904i | −0.118650 | − | 1.37417i | ||||
\(120\) | −1.67730 | − | 10.5217i | −0.153115 | − | 0.960493i | ||||
\(121\) | 1.97294 | − | 8.64400i | 0.179358 | − | 0.785818i | ||||
\(122\) | −13.4031 | − | 0.296329i | −1.21346 | − | 0.0268284i | ||||
\(123\) | −4.68410 | − | 3.73544i | −0.422351 | − | 0.336813i | ||||
\(124\) | 0.157439 | + | 0.0845857i | 0.0141384 | + | 0.00759602i | ||||
\(125\) | −15.3872 | − | 3.51203i | −1.37628 | − | 0.314126i | ||||
\(126\) | −1.83580 | − | 3.26034i | −0.163546 | − | 0.290454i | ||||
\(127\) | 10.7669 | − | 2.45748i | 0.955410 | − | 0.218066i | 0.283727 | − | 0.958905i | \(-0.408429\pi\) |
0.671683 | + | 0.740839i | \(0.265572\pi\) | |||||||
\(128\) | 1.74368 | − | 11.1785i | 0.154121 | − | 0.988052i | ||||
\(129\) | − | 4.32049i | − | 0.380398i | ||||||
\(130\) | −0.314486 | − | 0.262373i | −0.0275823 | − | 0.0230117i | ||||
\(131\) | −6.73614 | − | 3.24395i | −0.588539 | − | 0.283426i | 0.115819 | − | 0.993270i | \(-0.463051\pi\) |
−0.704358 | + | 0.709845i | \(0.748765\pi\) | |||||||
\(132\) | 7.20833 | − | 5.24453i | 0.627405 | − | 0.456478i | ||||
\(133\) | −3.04260 | + | 21.8643i | −0.263827 | + | 1.89588i | ||||
\(134\) | 0.0887175 | − | 0.352582i | 0.00766403 | − | 0.0304585i | ||||
\(135\) | 3.67250 | − | 0.838224i | 0.316078 | − | 0.0721428i | ||||
\(136\) | 13.9978 | + | 7.92407i | 1.20030 | + | 0.679484i | ||||
\(137\) | 5.64705 | + | 2.71948i | 0.482460 | + | 0.232341i | 0.659273 | − | 0.751904i | \(-0.270864\pi\) |
−0.176812 | + | 0.984245i | \(0.556579\pi\) | |||||||
\(138\) | 9.09580 | + | 0.201099i | 0.774286 | + | 0.0171187i | ||||
\(139\) | 4.34349 | − | 2.09172i | 0.368410 | − | 0.177417i | −0.240514 | − | 0.970646i | \(-0.577316\pi\) |
0.608924 | + | 0.793229i | \(0.291602\pi\) | |||||||
\(140\) | −19.6018 | − | 3.61720i | −1.65666 | − | 0.305709i | ||||
\(141\) | 0.383289 | + | 0.184582i | 0.0322788 | + | 0.0155446i | ||||
\(142\) | 11.0895 | + | 5.64572i | 0.930612 | + | 0.473778i | ||||
\(143\) | 0.0762510 | − | 0.334077i | 0.00637643 | − | 0.0279370i | ||||
\(144\) | 3.98437 | + | 0.353226i | 0.332031 | + | 0.0294355i | ||||
\(145\) | −17.9677 | + | 14.3288i | −1.49214 | + | 1.18994i | ||||
\(146\) | 1.78350 | + | 2.34076i | 0.147603 | + | 0.193723i | ||||
\(147\) | −6.89640 | + | 1.19986i | −0.568806 | + | 0.0989625i | ||||
\(148\) | −3.99096 | + | 14.4988i | −0.328055 | + | 1.19179i | ||||
\(149\) | −3.13413 | − | 3.93007i | −0.256758 | − | 0.321964i | 0.636700 | − | 0.771112i | \(-0.280299\pi\) |
−0.893458 | + | 0.449148i | \(0.851728\pi\) | |||||||
\(150\) | 5.89638 | − | 11.5819i | 0.481437 | − | 0.945655i | ||||
\(151\) | −11.3242 | − | 2.58466i | −0.921546 | − | 0.210337i | −0.264673 | − | 0.964338i | \(-0.585264\pi\) |
−0.656873 | + | 0.754001i | \(0.728121\pi\) | |||||||
\(152\) | −17.4350 | − | 15.9042i | −1.41416 | − | 1.29000i | ||||
\(153\) | −2.46747 | + | 5.12375i | −0.199483 | + | 0.414231i | ||||
\(154\) | −4.74367 | − | 15.9883i | −0.382256 | − | 1.28837i | ||||
\(155\) | 0.146053 | + | 0.303283i | 0.0117313 | + | 0.0243603i | ||||
\(156\) | 0.124335 | − | 0.0904617i | 0.00995475 | − | 0.00724273i | ||||
\(157\) | 7.15561 | − | 14.8588i | 0.571080 | − | 1.18586i | −0.392825 | − | 0.919613i | \(-0.628502\pi\) |
0.963905 | − | 0.266246i | \(-0.0857835\pi\) | |||||||
\(158\) | −1.03591 | + | 4.11691i | −0.0824123 | + | 0.327524i | ||||
\(159\) | 1.25947 | + | 5.51810i | 0.0998825 | + | 0.437614i | ||||
\(160\) | 15.0425 | − | 15.0930i | 1.18922 | − | 1.19320i | ||||
\(161\) | 6.03851 | − | 15.9137i | 0.475901 | − | 1.25417i | ||||
\(162\) | −0.0312592 | + | 1.41387i | −0.00245595 | + | 0.111084i | ||||
\(163\) | 0.490893 | − | 1.01935i | 0.0384497 | − | 0.0798416i | −0.880859 | − | 0.473378i | \(-0.843034\pi\) |
0.919309 | + | 0.393537i | \(0.128749\pi\) | |||||||
\(164\) | 0.529577 | − | 11.9707i | 0.0413530 | − | 0.934751i | ||||
\(165\) | 16.7899 | 1.30709 | ||||||||
\(166\) | −16.8934 | + | 12.8716i | −1.31118 | + | 0.999027i | ||||
\(167\) | −1.08277 | − | 4.74391i | −0.0837870 | − | 0.367095i | 0.915601 | − | 0.402089i | \(-0.131716\pi\) |
−0.999388 | + | 0.0349945i | \(0.988859\pi\) | |||||||
\(168\) | 3.11268 | − | 6.80524i | 0.240148 | − | 0.525035i | ||||
\(169\) | −2.89146 | + | 12.6683i | −0.222420 | + | 0.974485i | ||||
\(170\) | 12.5383 | + | 27.5794i | 0.961644 | + | 2.11525i | ||||
\(171\) | 5.20214 | − | 6.52327i | 0.397817 | − | 0.498847i | ||||
\(172\) | 6.98731 | − | 5.08372i | 0.532777 | − | 0.387630i | ||||
\(173\) | −4.19969 | − | 0.958553i | −0.319297 | − | 0.0728774i | 0.0598688 | − | 0.998206i | \(-0.480932\pi\) |
−0.379166 | + | 0.925329i | \(0.623789\pi\) | |||||||
\(174\) | −3.57078 | − | 7.85434i | −0.270700 | − | 0.595436i | ||||
\(175\) | −16.7386 | − | 17.6350i | −1.26532 | − | 1.33308i | ||||
\(176\) | 16.9634 | + | 5.48666i | 1.27867 | + | 0.413573i | ||||
\(177\) | 3.50920 | 0.263768 | ||||||||
\(178\) | −6.58659 | − | 8.64461i | −0.493686 | − | 0.647941i | ||||
\(179\) | −18.0438 | + | 4.11838i | −1.34866 | + | 0.307822i | −0.835037 | − | 0.550195i | \(-0.814554\pi\) |
−0.513621 | + | 0.858017i | \(0.671696\pi\) | |||||||
\(180\) | 5.67687 | + | 4.95304i | 0.423129 | + | 0.369178i | ||||
\(181\) | −4.01113 | − | 3.19877i | −0.298145 | − | 0.237763i | 0.462979 | − | 0.886369i | \(-0.346781\pi\) |
−0.761124 | + | 0.648607i | \(0.775352\pi\) | |||||||
\(182\) | −0.0818225 | − | 0.275778i | −0.00606508 | − | 0.0204420i | ||||
\(183\) | 7.41157 | − | 5.91053i | 0.547879 | − | 0.436919i | ||||
\(184\) | 10.3774 | + | 14.9468i | 0.765030 | + | 1.10189i | ||||
\(185\) | −22.1443 | + | 17.6595i | −1.62808 | + | 1.29835i | ||||
\(186\) | −0.123799 | + | 0.0253911i | −0.00907737 | + | 0.00186176i | ||||
\(187\) | −15.8040 | + | 19.8175i | −1.15570 | + | 1.44920i | ||||
\(188\) | 0.152483 | + | 0.837062i | 0.0111210 | + | 0.0610491i | ||||
\(189\) | 2.47365 | + | 0.938637i | 0.179932 | + | 0.0682758i | ||||
\(190\) | −8.93045 | − | 43.5420i | −0.647883 | − | 3.15887i | ||||
\(191\) | 3.00513 | + | 6.24021i | 0.217443 | + | 0.451526i | 0.980946 | − | 0.194278i | \(-0.0622365\pi\) |
−0.763503 | + | 0.645804i | \(0.776522\pi\) | |||||||
\(192\) | 4.11697 | + | 6.85934i | 0.297117 | + | 0.495030i | ||||
\(193\) | −16.5445 | + | 7.96742i | −1.19090 | + | 0.573507i | −0.921069 | − | 0.389400i | \(-0.872682\pi\) |
−0.269831 | + | 0.962908i | \(0.586968\pi\) | |||||||
\(194\) | −0.684535 | + | 2.72049i | −0.0491467 | + | 0.195320i | ||||
\(195\) | 0.289604 | 0.0207390 | ||||||||
\(196\) | −10.0551 | − | 9.74137i | −0.718224 | − | 0.695812i | ||||
\(197\) | 25.1794 | 1.79395 | 0.896977 | − | 0.442077i | \(-0.145758\pi\) | ||||
0.896977 | + | 0.442077i | \(0.145758\pi\) | |||||||
\(198\) | −1.53813 | + | 6.11284i | −0.109310 | + | 0.434420i | ||||
\(199\) | −16.7246 | + | 8.05416i | −1.18558 | + | 0.570944i | −0.919532 | − | 0.393016i | \(-0.871432\pi\) |
−0.266047 | + | 0.963960i | \(0.585717\pi\) | |||||||
\(200\) | 25.6687 | − | 4.09194i | 1.81505 | − | 0.289344i | ||||
\(201\) | 0.111545 | + | 0.231625i | 0.00786777 | + | 0.0163376i | ||||
\(202\) | 1.54336 | + | 7.52492i | 0.108590 | + | 0.529452i | ||||
\(203\) | −16.0815 | + | 1.38853i | −1.12870 | + | 0.0974555i | ||||
\(204\) | −11.1897 | + | 2.03837i | −0.783437 | + | 0.142714i | ||||
\(205\) | 14.0712 | − | 17.6447i | 0.982775 | − | 1.23236i | ||||
\(206\) | 7.78739 | − | 1.59719i | 0.542573 | − | 0.111281i | ||||
\(207\) | −5.02974 | + | 4.01108i | −0.349591 | + | 0.278790i | ||||
\(208\) | 0.292598 | + | 0.0946380i | 0.0202880 | + | 0.00656197i | ||||
\(209\) | 29.0753 | − | 23.1868i | 2.01118 | − | 1.60386i | ||||
\(210\) | 12.2815 | − | 6.91536i | 0.847505 | − | 0.477205i | ||||
\(211\) | −2.77179 | − | 2.21043i | −0.190818 | − | 0.152172i | 0.523421 | − | 0.852074i | \(-0.324656\pi\) |
−0.714239 | + | 0.699902i | \(0.753227\pi\) | |||||||
\(212\) | −7.44217 | + | 8.52976i | −0.511130 | + | 0.585826i | ||||
\(213\) | −8.57858 | + | 1.95800i | −0.587794 | + | 0.134160i | ||||
\(214\) | −2.16313 | − | 2.83902i | −0.147869 | − | 0.194071i | ||||
\(215\) | 16.2751 | 1.10995 | ||||||||
\(216\) | −2.32336 | + | 1.61308i | −0.158084 | + | 0.109756i | ||||
\(217\) | −0.0325868 | + | 0.234171i | −0.00221214 | + | 0.0158966i | ||||
\(218\) | 5.43461 | + | 11.9540i | 0.368078 | + | 0.809630i | ||||
\(219\) | −2.02870 | − | 0.463037i | −0.137087 | − | 0.0312891i | ||||
\(220\) | 19.7559 | + | 27.1534i | 1.33194 | + | 1.83068i | ||||
\(221\) | −0.272599 | + | 0.341828i | −0.0183370 | + | 0.0229938i | ||||
\(222\) | −4.40080 | − | 9.68007i | −0.295363 | − | 0.649684i | ||||
\(223\) | −0.322048 | + | 1.41098i | −0.0215659 | + | 0.0944864i | −0.984566 | − | 0.175016i | \(-0.944002\pi\) |
0.963000 | + | 0.269503i | \(0.0868593\pi\) | |||||||
\(224\) | 14.6683 | − | 2.97344i | 0.980066 | − | 0.198671i | ||||
\(225\) | 2.04494 | + | 8.95945i | 0.136329 | + | 0.597296i | ||||
\(226\) | −23.1111 | + | 17.6090i | −1.53733 | + | 1.17134i | ||||
\(227\) | 11.1496 | 0.740023 | 0.370011 | − | 0.929027i | \(-0.379354\pi\) | ||||
0.370011 | + | 0.929027i | \(0.379354\pi\) | |||||||
\(228\) | 16.6709 | + | 0.737512i | 1.10405 | + | 0.0488429i | ||||
\(229\) | 11.6347 | − | 24.1596i | 0.768841 | − | 1.59651i | −0.0333478 | − | 0.999444i | \(-0.510617\pi\) |
0.802189 | − | 0.597071i | \(-0.203669\pi\) | |||||||
\(230\) | −0.757529 | + | 34.2634i | −0.0499500 | + | 2.25926i | ||||
\(231\) | 9.81809 | + | 6.53216i | 0.645983 | + | 0.429785i | ||||
\(232\) | 8.50083 | − | 15.0167i | 0.558107 | − | 0.985892i | ||||
\(233\) | −3.52263 | − | 15.4336i | −0.230775 | − | 1.01109i | −0.948999 | − | 0.315279i | \(-0.897902\pi\) |
0.718224 | − | 0.695812i | \(-0.244955\pi\) | |||||||
\(234\) | −0.0265307 | + | 0.105439i | −0.00173437 | + | 0.00689275i | ||||
\(235\) | −0.695311 | + | 1.44383i | −0.0453571 | + | 0.0941849i | ||||
\(236\) | 4.12911 | + | 5.67524i | 0.268782 | + | 0.369427i | ||||
\(237\) | −1.30245 | − | 2.70456i | −0.0846031 | − | 0.175680i | ||||
\(238\) | −3.39795 | + | 21.0055i | −0.220256 | + | 1.36158i | ||||
\(239\) | 3.18491 | − | 6.61353i | 0.206015 | − | 0.427794i | −0.772203 | − | 0.635376i | \(-0.780845\pi\) |
0.978218 | + | 0.207582i | \(0.0665594\pi\) | |||||||
\(240\) | −1.33058 | + | 15.0089i | −0.0858886 | + | 0.968821i | ||||
\(241\) | 8.17989 | + | 1.86701i | 0.526913 | + | 0.120264i | 0.477699 | − | 0.878524i | \(-0.341471\pi\) |
0.0492144 | + | 0.998788i | \(0.484328\pi\) | |||||||
\(242\) | −5.68877 | + | 11.1741i | −0.365688 | + | 0.718298i | ||||
\(243\) | −0.623490 | − | 0.781831i | −0.0399969 | − | 0.0501545i | ||||
\(244\) | 18.2796 | + | 5.03170i | 1.17023 | + | 0.322121i | ||||
\(245\) | −4.51979 | − | 25.9783i | −0.288759 | − | 1.65970i | ||||
\(246\) | 5.13500 | + | 6.73946i | 0.327396 | + | 0.429692i | ||||
\(247\) | 0.501512 | − | 0.399943i | 0.0319105 | − | 0.0254477i | ||||
\(248\) | −0.186732 | − | 0.170337i | −0.0118575 | − | 0.0108164i | ||||
\(249\) | 3.34175 | − | 14.6412i | 0.211775 | − | 0.927847i | ||||
\(250\) | 19.8911 | + | 10.1266i | 1.25802 | + | 0.640464i | ||||
\(251\) | 7.50388 | + | 3.61368i | 0.473641 | + | 0.228093i | 0.655447 | − | 0.755241i | \(-0.272480\pi\) |
−0.181807 | + | 0.983334i | \(0.558194\pi\) | |||||||
\(252\) | 1.39262 | + | 5.10496i | 0.0877270 | + | 0.321582i | ||||
\(253\) | −25.8345 | + | 12.4413i | −1.62420 | + | 0.782175i | ||||
\(254\) | −15.6145 | − | 0.345221i | −0.979741 | − | 0.0216611i | ||||
\(255\) | −19.3009 | − | 9.29481i | −1.20867 | − | 0.582063i | ||||
\(256\) | −6.24900 | + | 14.7292i | −0.390563 | + | 0.920576i | ||||
\(257\) | −14.8690 | + | 3.39375i | −0.927502 | + | 0.211696i | −0.659485 | − | 0.751718i | \(-0.729226\pi\) |
−0.268017 | + | 0.963414i | \(0.586368\pi\) | |||||||
\(258\) | −1.49096 | + | 5.92540i | −0.0928233 | + | 0.368899i | ||||
\(259\) | −19.8197 | + | 1.71129i | −1.23153 | + | 0.106334i | ||||
\(260\) | 0.340764 | + | 0.468362i | 0.0211333 | + | 0.0290466i | ||||
\(261\) | 5.49669 | + | 2.64707i | 0.340236 | + | 0.163849i | ||||
\(262\) | 8.11891 | + | 6.77355i | 0.501588 | + | 0.418471i | ||||
\(263\) | − | 5.98284i | − | 0.368918i | −0.982840 | − | 0.184459i | \(-0.940947\pi\) | ||
0.982840 | − | 0.184459i | \(-0.0590533\pi\) | |||||||
\(264\) | −11.6958 | + | 4.70516i | −0.719827 | + | 0.289582i | ||||
\(265\) | −20.7864 | + | 4.74435i | −1.27690 | + | 0.291443i | ||||
\(266\) | 11.7180 | − | 28.9362i | 0.718477 | − | 1.77419i | ||||
\(267\) | 7.49213 | + | 1.71003i | 0.458511 | + | 0.104652i | ||||
\(268\) | −0.243346 | + | 0.452938i | −0.0148647 | + | 0.0276676i | ||||
\(269\) | 12.4542 | + | 9.93187i | 0.759344 | + | 0.605557i | 0.924709 | − | 0.380676i | \(-0.124309\pi\) |
−0.165364 | + | 0.986233i | \(0.552880\pi\) | |||||||
\(270\) | −5.32596 | − | 0.117752i | −0.324128 | − | 0.00716613i | ||||
\(271\) | 4.54435 | − | 19.9101i | 0.276049 | − | 1.20945i | −0.626692 | − | 0.779267i | \(-0.715592\pi\) |
0.902741 | − | 0.430184i | \(-0.141551\pi\) | |||||||
\(272\) | −16.4630 | − | 15.6981i | −0.998214 | − | 0.951837i | ||||
\(273\) | 0.169350 | + | 0.112672i | 0.0102495 | + | 0.00681920i | ||||
\(274\) | −6.80626 | − | 5.67841i | −0.411181 | − | 0.343045i | ||||
\(275\) | 40.9607i | 2.47002i | ||||||||
\(276\) | −12.4052 | − | 3.41468i | −0.746703 | − | 0.205539i | ||||
\(277\) | 1.15096 | + | 5.04269i | 0.0691545 | + | 0.302986i | 0.997663 | − | 0.0683251i | \(-0.0217655\pi\) |
−0.928509 | + | 0.371311i | \(0.878908\pi\) | |||||||
\(278\) | −6.67877 | + | 1.36981i | −0.400566 | + | 0.0821559i | ||||
\(279\) | 0.0557158 | − | 0.0698654i | 0.00333562 | − | 0.00418273i | ||||
\(280\) | 25.6349 | + | 11.7253i | 1.53198 | + | 0.700719i | ||||
\(281\) | 14.1158 | + | 17.7007i | 0.842081 | + | 1.05594i | 0.997677 | + | 0.0681154i | \(0.0216986\pi\) |
−0.155596 | + | 0.987821i | \(0.549730\pi\) | |||||||
\(282\) | −0.461969 | − | 0.385417i | −0.0275099 | − | 0.0229513i | ||||
\(283\) | −0.873038 | − | 1.09475i | −0.0518967 | − | 0.0650764i | 0.755206 | − | 0.655488i | \(-0.227537\pi\) |
−0.807102 | + | 0.590411i | \(0.798966\pi\) | |||||||
\(284\) | −13.2606 | − | 11.5698i | −0.786871 | − | 0.686541i | ||||
\(285\) | 24.5728 | + | 19.5961i | 1.45557 | + | 1.16078i | ||||
\(286\) | −0.219862 | + | 0.431862i | −0.0130007 | + | 0.0255365i | ||||
\(287\) | 15.0931 | − | 4.84352i | 0.890915 | − | 0.285904i | ||||
\(288\) | −5.34253 | − | 1.85941i | −0.314811 | − | 0.109567i | ||||
\(289\) | 13.8219 | − | 6.65630i | 0.813056 | − | 0.391547i | ||||
\(290\) | 29.5868 | − | 13.4509i | 1.73740 | − | 0.789865i | ||||
\(291\) | −0.860668 | − | 1.78720i | −0.0504533 | − | 0.104767i | ||||
\(292\) | −1.63823 | − | 3.82574i | −0.0958699 | − | 0.223884i | ||||
\(293\) | 10.4140i | 0.608393i | 0.952609 | + | 0.304196i | \(0.0983879\pi\) | ||||
−0.952609 | + | 0.304196i | \(0.901612\pi\) | |||||||
\(294\) | 9.87222 | + | 0.734325i | 0.575760 | + | 0.0428267i | ||||
\(295\) | 13.2190i | 0.769637i | ||||||||
\(296\) | 10.4768 | − | 18.5073i | 0.608954 | − | 1.07571i | ||||
\(297\) | −1.93389 | − | 4.01576i | −0.112216 | − | 0.233018i | ||||
\(298\) | 2.94211 | + | 6.47151i | 0.170432 | + | 0.374885i | ||||
\(299\) | −0.445613 | + | 0.214596i | −0.0257705 | + | 0.0124104i | ||||
\(300\) | −12.0835 | + | 13.8493i | −0.697639 | + | 0.799591i | ||||
\(301\) | 9.51704 | + | 6.33187i | 0.548553 | + | 0.364963i | ||||
\(302\) | 14.6387 | + | 7.45263i | 0.842364 | + | 0.428851i | ||||
\(303\) | −4.24666 | − | 3.38660i | −0.243964 | − | 0.194555i | ||||
\(304\) | 18.4231 | + | 27.8287i | 1.05664 | + | 1.59608i | ||||
\(305\) | 22.2646 | + | 27.9189i | 1.27487 | + | 1.59863i | ||||
\(306\) | 5.15220 | − | 6.17554i | 0.294532 | − | 0.353032i | ||||
\(307\) | −12.6385 | − | 15.8481i | −0.721315 | − | 0.904501i | 0.277096 | − | 0.960842i | \(-0.410628\pi\) |
−0.998412 | + | 0.0563413i | \(0.982056\pi\) | |||||||
\(308\) | 0.988363 | + | 23.5644i | 0.0563172 | + | 1.34270i | ||||
\(309\) | −3.50472 | + | 4.39479i | −0.199377 | + | 0.250011i | ||||
\(310\) | −0.0956468 | − | 0.466343i | −0.00543237 | − | 0.0264865i | ||||
\(311\) | −7.04714 | − | 30.8755i | −0.399607 | − | 1.75079i | −0.628950 | − | 0.777446i | \(-0.716515\pi\) |
0.229343 | − | 0.973346i | \(-0.426342\pi\) | |||||||
\(312\) | −0.201738 | + | 0.0811581i | −0.0114212 | + | 0.00459467i | ||||
\(313\) | − | 16.9127i | − | 0.955961i | −0.878371 | − | 0.477980i | \(-0.841369\pi\) | ||
0.878371 | − | 0.477980i | \(-0.158631\pi\) | |||||||
\(314\) | −14.9413 | + | 17.9089i | −0.843186 | + | 1.01066i | ||||
\(315\) | −3.53579 | + | 9.31811i | −0.199219 | + | 0.525016i | ||||
\(316\) | 2.84142 | − | 5.28871i | 0.159842 | − | 0.297513i | ||||
\(317\) | −5.41319 | + | 23.7167i | −0.304035 | + | 1.33206i | 0.559942 | + | 0.828532i | \(0.310823\pi\) |
−0.863977 | + | 0.503532i | \(0.832034\pi\) | |||||||
\(318\) | 0.176927 | − | 8.00250i | 0.00992159 | − | 0.448758i | ||||
\(319\) | 21.2600 | + | 16.9543i | 1.19033 | + | 0.949257i | ||||
\(320\) | −25.8387 | + | 15.5084i | −1.44443 | + | 0.866946i | ||||
\(321\) | 2.46053 | + | 0.561599i | 0.137333 | + | 0.0313454i | ||||
\(322\) | −13.7733 | + | 19.7412i | −0.767554 | + | 1.10014i | ||||
\(323\) | −46.2597 | + | 10.5585i | −2.57396 | + | 0.587489i | ||||
\(324\) | 0.530784 | − | 1.92828i | 0.0294880 | − | 0.107127i | ||||
\(325\) | 0.706521i | 0.0391907i | ||||||||
\(326\) | −1.02501 | + | 1.22860i | −0.0567700 | + | 0.0680457i | ||||
\(327\) | −8.36578 | − | 4.02875i | −0.462629 | − | 0.222790i | ||||
\(328\) | −4.85726 | + | 16.2346i | −0.268197 | + | 0.896404i | ||||
\(329\) | −0.968318 | + | 0.573783i | −0.0533851 | + | 0.0316337i | ||||
\(330\) | −23.0267 | − | 5.79403i | −1.26758 | − | 0.318951i | ||||
\(331\) | 16.3050 | − | 3.72152i | 0.896205 | − | 0.204553i | 0.250479 | − | 0.968122i | \(-0.419412\pi\) |
0.645726 | + | 0.763569i | \(0.276555\pi\) | |||||||
\(332\) | 27.6105 | − | 11.8231i | 1.51532 | − | 0.648879i | ||||
\(333\) | 6.77439 | + | 3.26237i | 0.371234 | + | 0.178777i | ||||
\(334\) | −0.152104 | + | 6.87975i | −0.00832278 | + | 0.376443i | ||||
\(335\) | −0.872519 | + | 0.420183i | −0.0476708 | + | 0.0229570i | ||||
\(336\) | −6.61734 | + | 8.25898i | −0.361006 | + | 0.450564i | ||||
\(337\) | 16.9468 | + | 8.16117i | 0.923153 | + | 0.444567i | 0.834196 | − | 0.551468i | \(-0.185932\pi\) |
0.0889573 | + | 0.996035i | \(0.471647\pi\) | |||||||
\(338\) | 8.33724 | − | 16.3763i | 0.453486 | − | 0.890753i | ||||
\(339\) | 4.57171 | − | 20.0300i | 0.248301 | − | 1.08788i | ||||
\(340\) | −7.67842 | − | 42.1510i | −0.416421 | − | 2.28596i | ||||
\(341\) | 0.311402 | − | 0.248335i | 0.0168633 | − | 0.0134481i | ||||
\(342\) | −9.38566 | + | 7.15122i | −0.507518 | + | 0.386694i | ||||
\(343\) | 7.46397 | − | 16.9496i | 0.403016 | − | 0.915193i | ||||
\(344\) | −11.3372 | + | 4.56088i | −0.611260 | + | 0.245906i | ||||
\(345\) | −15.1095 | − | 18.9467i | −0.813469 | − | 1.02006i | ||||
\(346\) | 5.42894 | + | 2.76390i | 0.291862 | + | 0.148588i | ||||
\(347\) | 10.0370 | + | 2.29088i | 0.538814 | + | 0.122981i | 0.483263 | − | 0.875475i | \(-0.339451\pi\) |
0.0555507 | + | 0.998456i | \(0.482309\pi\) | |||||||
\(348\) | 2.18673 | + | 12.0042i | 0.117221 | + | 0.643492i | ||||
\(349\) | 8.79407 | − | 18.2611i | 0.470736 | − | 0.977493i | −0.521515 | − | 0.853242i | \(-0.674633\pi\) |
0.992251 | − | 0.124251i | \(-0.0396528\pi\) | |||||||
\(350\) | 16.8708 | + | 29.9621i | 0.901780 | + | 1.60154i | ||||
\(351\) | −0.0333572 | − | 0.0692669i | −0.00178048 | − | 0.00369720i | ||||
\(352\) | −21.3713 | − | 13.3787i | −1.13909 | − | 0.713085i | ||||
\(353\) | −12.3477 | + | 25.6403i | −0.657202 | + | 1.36469i | 0.259742 | + | 0.965678i | \(0.416362\pi\) |
−0.916944 | + | 0.399016i | \(0.869352\pi\) | |||||||
\(354\) | −4.81274 | − | 1.21099i | −0.255794 | − | 0.0643635i | ||||
\(355\) | −7.37569 | − | 32.3150i | −0.391461 | − | 1.71510i | ||||
\(356\) | 6.05009 | + | 14.1287i | 0.320654 | + | 0.748821i | ||||
\(357\) | −7.67025 | − | 12.9443i | −0.405953 | − | 0.685087i | ||||
\(358\) | 26.1676 | + | 0.578540i | 1.38300 | + | 0.0305768i | ||||
\(359\) | 0.123646 | − | 0.256753i | 0.00652577 | − | 0.0135509i | −0.897681 | − | 0.440647i | \(-0.854749\pi\) |
0.904206 | + | 0.427096i | \(0.140463\pi\) | |||||||
\(360\) | −6.07637 | − | 8.75194i | −0.320253 | − | 0.461268i | ||||
\(361\) | 50.6153 | 2.66396 | ||||||||
\(362\) | 4.39725 | + | 5.77120i | 0.231114 | + | 0.303327i | ||||
\(363\) | −1.97294 | − | 8.64400i | −0.103552 | − | 0.453692i | ||||
\(364\) | 0.0170480 | + | 0.406456i | 0.000893560 | + | 0.0213041i | ||||
\(365\) | 1.74423 | − | 7.64198i | 0.0912973 | − | 0.399999i | ||||
\(366\) | −12.2044 | + | 5.54841i | −0.637932 | + | 0.290020i | ||||
\(367\) | 21.4848 | − | 26.9411i | 1.12150 | − | 1.40632i | 0.218948 | − | 0.975737i | \(-0.429738\pi\) |
0.902552 | − | 0.430580i | \(-0.141691\pi\) | |||||||
\(368\) | −9.07420 | − | 24.0801i | −0.473025 | − | 1.25526i | ||||
\(369\) | −5.84097 | − | 1.33316i | −0.304069 | − | 0.0694017i | ||||
\(370\) | 36.4643 | − | 16.5776i | 1.89569 | − | 0.861827i | ||||
\(371\) | −14.0009 | − | 5.31269i | −0.726890 | − | 0.275821i | ||||
\(372\) | 0.178548 | + | 0.00789889i | 0.00925728 | + | 0.000409538i | ||||
\(373\) | −6.46609 | −0.334802 | −0.167401 | − | 0.985889i | \(-0.553537\pi\) | ||||
−0.167401 | + | 0.985889i | \(0.553537\pi\) | |||||||
\(374\) | 28.5134 | − | 21.7252i | 1.47439 | − | 1.12339i | ||||
\(375\) | −15.3872 | + | 3.51203i | −0.794593 | + | 0.181361i | ||||
\(376\) | 0.0797375 | − | 1.20062i | 0.00411215 | − | 0.0619173i | ||||
\(377\) | 0.366708 | + | 0.292440i | 0.0188864 | + | 0.0150614i | ||||
\(378\) | −3.06861 | − | 2.14094i | −0.157832 | − | 0.110118i | ||||
\(379\) | −10.4295 | + | 8.31721i | −0.535725 | + | 0.427226i | −0.853618 | − | 0.520900i | \(-0.825596\pi\) |
0.317892 | + | 0.948127i | \(0.397025\pi\) | |||||||
\(380\) | −2.77817 | + | 62.7981i | −0.142517 | + | 3.22148i | ||||
\(381\) | 8.63440 | − | 6.88571i | 0.442354 | − | 0.352765i | ||||
\(382\) | −1.96798 | − | 9.59527i | −0.100691 | − | 0.490937i | ||||
\(383\) | −6.27628 | + | 7.87021i | −0.320703 | + | 0.402149i | −0.915884 | − | 0.401443i | \(-0.868509\pi\) |
0.595181 | + | 0.803592i | \(0.297080\pi\) | |||||||
\(384\) | −3.27918 | − | 10.8281i | −0.167340 | − | 0.552567i | ||||
\(385\) | −24.6063 | + | 36.9842i | −1.25405 | + | 1.88489i | ||||
\(386\) | 25.4397 | − | 5.21767i | 1.29485 | − | 0.265572i | ||||
\(387\) | −1.87459 | − | 3.89263i | −0.0952909 | − | 0.197874i | ||||
\(388\) | 1.87763 | − | 3.49482i | 0.0953222 | − | 0.177423i | ||||
\(389\) | −20.3556 | + | 9.80274i | −1.03207 | + | 0.497019i | −0.871701 | − | 0.490038i | \(-0.836983\pi\) |
−0.160369 | + | 0.987057i | \(0.551268\pi\) | |||||||
\(390\) | −0.397182 | − | 0.0999398i | −0.0201121 | − | 0.00506065i | ||||
\(391\) | 36.5856 | 1.85021 | ||||||||
\(392\) | 10.4286 | + | 16.8299i | 0.526724 | + | 0.850037i | ||||
\(393\) | −7.47655 | −0.377142 | ||||||||
\(394\) | −34.5326 | − | 8.68916i | −1.73973 | − | 0.437754i | ||||
\(395\) | 10.1879 | − | 4.90625i | 0.512610 | − | 0.246860i | ||||
\(396\) | 4.21897 | − | 7.85274i | 0.212011 | − | 0.394615i | ||||
\(397\) | −9.26563 | − | 19.2403i | −0.465028 | − | 0.965642i | −0.993191 | − | 0.116498i | \(-0.962833\pi\) |
0.528162 | − | 0.849143i | \(-0.322881\pi\) | |||||||
\(398\) | 25.7167 | − | 5.27447i | 1.28906 | − | 0.264385i | ||||
\(399\) | 6.74530 | + | 21.0192i | 0.337687 | + | 1.05228i | ||||
\(400\) | −36.6158 | − | 3.24609i | −1.83079 | − | 0.162305i | ||||
\(401\) | 9.08266 | − | 11.3893i | 0.453566 | − | 0.568754i | −0.501496 | − | 0.865160i | \(-0.667217\pi\) |
0.955062 | + | 0.296406i | \(0.0957881\pi\) | |||||||
\(402\) | −0.0730480 | − | 0.356159i | −0.00364330 | − | 0.0177636i | ||||
\(403\) | 0.00537129 | − | 0.00428346i | 0.000267563 | − | 0.000213374i | ||||
\(404\) | 0.480122 | − | 10.8528i | 0.0238869 | − | 0.539945i | ||||
\(405\) | 2.94511 | − | 2.34865i | 0.146344 | − | 0.116705i | ||||
\(406\) | 22.5344 | + | 3.64527i | 1.11836 | + | 0.180912i | ||||
\(407\) | 26.2018 | + | 20.8953i | 1.29878 | + | 1.03574i | ||||
\(408\) | 16.0497 | + | 1.06592i | 0.794579 | + | 0.0527709i | ||||
\(409\) | −25.3227 | + | 5.77974i | −1.25213 | + | 0.285790i | −0.796641 | − | 0.604453i | \(-0.793392\pi\) |
−0.455486 | + | 0.890243i | \(0.650535\pi\) | |||||||
\(410\) | −25.3872 | + | 19.3433i | −1.25378 | + | 0.955295i | ||||
\(411\) | 6.26775 | 0.309166 | ||||||||
\(412\) | −11.2313 | − | 0.496868i | −0.553326 | − | 0.0244789i | ||||
\(413\) | −5.14288 | + | 7.72995i | −0.253065 | + | 0.380366i | ||||
\(414\) | 8.28229 | − | 3.76534i | 0.407052 | − | 0.185056i | ||||
\(415\) | 55.1525 | + | 12.5882i | 2.70733 | + | 0.617930i | ||||
\(416\) | −0.368628 | − | 0.230765i | −0.0180735 | − | 0.0113142i | ||||
\(417\) | 3.00579 | − | 3.76914i | 0.147194 | − | 0.184576i | ||||
\(418\) | −47.8772 | + | 21.7662i | −2.34175 | + | 1.06462i | ||||
\(419\) | −1.93869 | + | 8.49397i | −0.0947114 | + | 0.414958i | −0.999951 | − | 0.00994465i | \(-0.996834\pi\) |
0.905239 | + | 0.424902i | \(0.139692\pi\) | |||||||
\(420\) | −19.2301 | + | 5.24593i | −0.938332 | + | 0.255975i | ||||
\(421\) | −0.697356 | − | 3.05532i | −0.0339870 | − | 0.148907i | 0.955087 | − | 0.296325i | \(-0.0957610\pi\) |
−0.989074 | + | 0.147418i | \(0.952904\pi\) | |||||||
\(422\) | 3.03861 | + | 3.98805i | 0.147917 | + | 0.194135i | ||||
\(423\) | 0.425419 | 0.0206846 | ||||||||
\(424\) | 13.1502 | − | 9.13003i | 0.638630 | − | 0.443394i | ||||
\(425\) | 22.6757 | − | 47.0865i | 1.09993 | − | 2.28403i | ||||
\(426\) | 12.4409 | + | 0.275056i | 0.602763 | + | 0.0133265i | ||||
\(427\) | 2.15755 | + | 24.9881i | 0.104411 | + | 1.20926i | ||||
\(428\) | 1.98694 | + | 4.64009i | 0.0960424 | + | 0.224287i | ||||
\(429\) | −0.0762510 | − | 0.334077i | −0.00368143 | − | 0.0161294i | ||||
\(430\) | −22.3206 | − | 5.61637i | −1.07640 | − | 0.270845i | ||||
\(431\) | 11.9123 | − | 24.7362i | 0.573797 | − | 1.19150i | −0.388991 | − | 0.921242i | \(-0.627176\pi\) |
0.962787 | − | 0.270260i | \(-0.0871096\pi\) | |||||||
\(432\) | 3.74306 | − | 1.41051i | 0.180088 | − | 0.0678632i | ||||
\(433\) | −0.392179 | − | 0.814368i | −0.0188469 | − | 0.0391360i | 0.891333 | − | 0.453349i | \(-0.149771\pi\) |
−0.910180 | + | 0.414213i | \(0.864057\pi\) | |||||||
\(434\) | 0.125502 | − | 0.309912i | 0.00602429 | − | 0.0148762i | ||||
\(435\) | −9.97134 | + | 20.7057i | −0.478089 | + | 0.992763i | ||||
\(436\) | −3.32814 | − | 18.2700i | −0.159389 | − | 0.874973i | ||||
\(437\) | −52.3308 | − | 11.9442i | −2.50332 | − | 0.571366i | ||||
\(438\) | 2.62249 | + | 1.33512i | 0.125308 | + | 0.0637946i | ||||
\(439\) | −5.55109 | − | 6.96085i | −0.264939 | − | 0.332223i | 0.631512 | − | 0.775366i | \(-0.282435\pi\) |
−0.896451 | + | 0.443143i | \(0.853863\pi\) | |||||||
\(440\) | −17.7241 | − | 44.0574i | −0.844961 | − | 2.10036i | ||||
\(441\) | −5.69284 | + | 4.07327i | −0.271088 | + | 0.193965i | ||||
\(442\) | 0.491821 | − | 0.374733i | 0.0233935 | − | 0.0178242i | ||||
\(443\) | 14.5397 | − | 11.5950i | 0.690803 | − | 0.550897i | −0.213944 | − | 0.976846i | \(-0.568631\pi\) |
0.904747 | + | 0.425949i | \(0.140060\pi\) | |||||||
\(444\) | 2.69504 | + | 14.7945i | 0.127901 | + | 0.702118i | ||||
\(445\) | −6.44158 | + | 28.2224i | −0.305360 | + | 1.33787i | ||||
\(446\) | 0.928593 | − | 1.82398i | 0.0439702 | − | 0.0863677i | ||||
\(447\) | −4.52895 | − | 2.18103i | −0.214212 | − | 0.103159i | ||||
\(448\) | −21.1431 | − | 0.983929i | −0.998919 | − | 0.0464863i | ||||
\(449\) | −17.1312 | + | 8.24994i | −0.808470 | + | 0.389339i | −0.791997 | − | 0.610525i | \(-0.790958\pi\) |
−0.0164738 | + | 0.999864i | \(0.505244\pi\) | |||||||
\(450\) | 0.287268 | − | 12.9932i | 0.0135419 | − | 0.612507i | ||||
\(451\) | −24.0592 | − | 11.5863i | −1.13290 | − | 0.545577i | ||||
\(452\) | 37.7727 | − | 16.1747i | 1.77668 | − | 0.760796i | ||||
\(453\) | −11.3242 | + | 2.58466i | −0.532055 | + | 0.121438i | ||||
\(454\) | −15.2912 | − | 3.84761i | −0.717653 | − | 0.180577i | ||||
\(455\) | −0.424428 | + | 0.637931i | −0.0198975 | + | 0.0299067i | ||||
\(456\) | −22.6090 | − | 6.76443i | −1.05876 | − | 0.316773i | ||||
\(457\) | −6.26006 | − | 3.01469i | −0.292833 | − | 0.141021i | 0.281699 | − | 0.959503i | \(-0.409102\pi\) |
−0.574533 | + | 0.818482i | \(0.694816\pi\) | |||||||
\(458\) | −24.2938 | + | 29.1191i | −1.13517 | + | 1.36064i | ||||
\(459\) | 5.68693i | 0.265443i | ||||||||
\(460\) | 12.8629 | − | 46.7296i | 0.599736 | − | 2.17878i | ||||
\(461\) | 3.19807 | − | 0.729938i | 0.148949 | − | 0.0339966i | −0.147396 | − | 0.989078i | \(-0.547089\pi\) |
0.296345 | + | 0.955081i | \(0.404232\pi\) | |||||||
\(462\) | −11.2110 | − | 12.3468i | −0.521581 | − | 0.574423i | ||||
\(463\) | −23.8427 | − | 5.44194i | −1.10807 | − | 0.252909i | −0.370935 | − | 0.928659i | \(-0.620963\pi\) |
−0.737131 | + | 0.675750i | \(0.763820\pi\) | |||||||
\(464\) | −16.8407 | + | 17.6612i | −0.781810 | + | 0.819903i | ||||
\(465\) | 0.263179 | + | 0.209878i | 0.0122046 | + | 0.00973287i | ||||
\(466\) | −0.494850 | + | 22.3823i | −0.0229235 | + | 1.03684i | ||||
\(467\) | 5.21078 | − | 22.8299i | 0.241126 | − | 1.05644i | −0.698867 | − | 0.715251i | \(-0.746312\pi\) |
0.939994 | − | 0.341192i | \(-0.110831\pi\) | |||||||
\(468\) | 0.0727719 | − | 0.135450i | 0.00336388 | − | 0.00626118i | ||||
\(469\) | −0.673690 | − | 0.0937494i | −0.0311081 | − | 0.00432895i | ||||
\(470\) | 1.45185 | − | 1.74021i | 0.0669686 | − | 0.0802700i | ||||
\(471\) | − | 16.4920i | − | 0.759911i | ||||||
\(472\) | −3.70445 | − | 9.20831i | −0.170511 | − | 0.423847i | ||||
\(473\) | −4.28512 | − | 18.7743i | −0.197030 | − | 0.863244i | ||||
\(474\) | 0.852941 | + | 4.15867i | 0.0391769 | + | 0.191014i | ||||
\(475\) | −47.8069 | + | 59.9479i | −2.19353 | + | 2.75060i | ||||
\(476\) | 11.9090 | − | 27.6357i | 0.545847 | − | 1.26668i | ||||
\(477\) | 3.52896 | + | 4.42517i | 0.161580 | + | 0.202615i | ||||
\(478\) | −6.65026 | + | 7.97114i | −0.304176 | + | 0.364591i | ||||
\(479\) | 21.8584 | + | 27.4096i | 0.998737 | + | 1.25238i | 0.967502 | + | 0.252865i | \(0.0813727\pi\) |
0.0312354 | + | 0.999512i | \(0.490056\pi\) | |||||||
\(480\) | 7.00428 | − | 20.1250i | 0.319700 | − | 0.918576i | ||||
\(481\) | 0.451949 | + | 0.360417i | 0.0206071 | + | 0.0164336i | ||||
\(482\) | −10.5741 | − | 5.38334i | −0.481639 | − | 0.245204i | ||||
\(483\) | −1.46418 | − | 16.9578i | −0.0666226 | − | 0.771605i | ||||
\(484\) | 11.6580 | − | 13.3617i | 0.529910 | − | 0.607351i | ||||
\(485\) | 6.73226 | − | 3.24209i | 0.305696 | − | 0.147216i | ||||
\(486\) | 0.585291 | + | 1.28741i | 0.0265493 | + | 0.0583983i | ||||
\(487\) | −2.83961 | − | 5.89652i | −0.128675 | − | 0.267197i | 0.826671 | − | 0.562685i | \(-0.190232\pi\) |
−0.955346 | + | 0.295489i | \(0.904517\pi\) | |||||||
\(488\) | −23.3334 | − | 13.2089i | −1.05626 | − | 0.597939i | ||||
\(489\) | − | 1.13139i | − | 0.0511633i | ||||||
\(490\) | −2.76616 | + | 37.1881i | −0.124962 | + | 1.67999i | ||||
\(491\) | 16.3127i | 0.736180i | 0.929790 | + | 0.368090i | \(0.119988\pi\) | ||||
−0.929790 | + | 0.368090i | \(0.880012\pi\) | |||||||
\(492\) | −4.71674 | − | 11.0150i | −0.212647 | − | 0.496593i | ||||
\(493\) | −15.0537 | − | 31.2593i | −0.677984 | − | 1.40785i | ||||
\(494\) | −0.825823 | + | 0.375440i | −0.0371555 | + | 0.0168918i | ||||
\(495\) | 15.1272 | − | 7.28485i | 0.679915 | − | 0.327430i | ||||
\(496\) | 0.197314 | + | 0.298050i | 0.00885968 | + | 0.0133829i | ||||
\(497\) | 8.25925 | − | 21.7661i | 0.370478 | − | 0.976345i | ||||
\(498\) | −9.63562 | + | 18.9266i | −0.431783 | + | 0.848122i | ||||
\(499\) | −10.5297 | − | 8.39719i | −0.471376 | − | 0.375910i | 0.358797 | − | 0.933416i | \(-0.383187\pi\) |
−0.830173 | + | 0.557506i | \(0.811758\pi\) | |||||||
\(500\) | −23.7853 | − | 20.7525i | −1.06371 | − | 0.928080i | ||||
\(501\) | −3.03384 | − | 3.80432i | −0.135542 | − | 0.169964i | ||||
\(502\) | −9.04425 | − | 7.54554i | −0.403665 | − | 0.336774i | ||||
\(503\) | −15.1241 | − | 18.9650i | −0.674350 | − | 0.845608i | 0.320470 | − | 0.947259i | \(-0.396159\pi\) |
−0.994820 | + | 0.101651i | \(0.967588\pi\) | |||||||
\(504\) | −0.148258 | − | 7.48185i | −0.00660396 | − | 0.333268i | ||||
\(505\) | 12.7571 | − | 15.9969i | 0.567685 | − | 0.711854i | ||||
\(506\) | 39.7245 | − | 8.14747i | 1.76597 | − | 0.362199i | ||||
\(507\) | 2.89146 | + | 12.6683i | 0.128414 | + | 0.562619i | ||||
\(508\) | 21.2956 | + | 5.86188i | 0.944839 | + | 0.260079i | ||||
\(509\) | 26.8049i | 1.18811i | 0.804426 | + | 0.594053i | \(0.202473\pi\) | ||||
−0.804426 | + | 0.594053i | \(0.797527\pi\) | |||||||
\(510\) | 23.2629 | + | 19.4080i | 1.03010 | + | 0.859403i | ||||
\(511\) | 3.99310 | − | 3.79014i | 0.176644 | − | 0.167666i | ||||
\(512\) | 13.6532 | − | 18.0441i | 0.603392 | − | 0.797445i | ||||
\(513\) | 1.85662 | − | 8.13439i | 0.0819718 | − | 0.359142i | ||||
\(514\) | 21.5634 | + | 0.476746i | 0.951122 | + | 0.0210284i | ||||
\(515\) | −16.5549 | − | 13.2021i | −0.729496 | − | 0.581754i | ||||
\(516\) | 4.08960 | − | 7.61195i | 0.180035 | − | 0.335098i | ||||
\(517\) | 1.84862 | + | 0.421935i | 0.0813022 | + | 0.0185567i | ||||
\(518\) | 27.7725 | + | 4.49261i | 1.22025 | + | 0.197394i | ||||
\(519\) | −4.19969 | + | 0.958553i | −0.184346 | + | 0.0420758i | ||||
\(520\) | −0.305718 | − | 0.759936i | −0.0134066 | − | 0.0333254i | ||||
\(521\) | 6.76266i | 0.296277i | 0.988967 | + | 0.148139i | \(0.0473282\pi\) | ||||
−0.988967 | + | 0.148139i | \(0.952672\pi\) | |||||||
\(522\) | −6.62503 | − | 5.52721i | −0.289970 | − | 0.241919i | ||||
\(523\) | 5.75424 | + | 2.77109i | 0.251615 | + | 0.121172i | 0.555441 | − | 0.831556i | \(-0.312550\pi\) |
−0.303825 | + | 0.952728i | \(0.598264\pi\) | |||||||
\(524\) | −8.79731 | − | 12.0914i | −0.384312 | − | 0.528217i | ||||
\(525\) | −22.7325 | − | 8.62594i | −0.992128 | − | 0.376467i | ||||
\(526\) | −2.06462 | + | 8.20525i | −0.0900218 | + | 0.357766i | ||||
\(527\) | −0.495450 | + | 0.113083i | −0.0215821 | + | 0.00492598i | ||||
\(528\) | 17.6641 | − | 2.41684i | 0.768730 | − | 0.105179i | ||||
\(529\) | 16.5662 | + | 7.97784i | 0.720268 | + | 0.346863i | ||||
\(530\) | 30.1450 | + | 0.666475i | 1.30941 | + | 0.0289498i | ||||
\(531\) | 3.16168 | − | 1.52258i | 0.137205 | − | 0.0660746i | ||||
\(532\) | −26.0564 | + | 35.6411i | −1.12969 | + | 1.54524i | ||||
\(533\) | −0.414991 | − | 0.199849i | −0.0179752 | − | 0.00865642i | ||||
\(534\) | −9.68506 | − | 4.93071i | −0.419114 | − | 0.213373i | ||||
\(535\) | −2.11551 | + | 9.26866i | −0.0914615 | + | 0.400719i | ||||
\(536\) | 0.490044 | − | 0.537212i | 0.0211667 | − | 0.0232040i | ||||
\(537\) | −14.4700 | + | 11.5395i | −0.624427 | + | 0.497964i | ||||
\(538\) | −13.6530 | − | 17.9190i | −0.588625 | − | 0.772544i | ||||
\(539\) | −28.7777 | + | 12.0538i | −1.23954 | + | 0.519194i | ||||
\(540\) | 7.26372 | + | 1.99943i | 0.312581 | + | 0.0860418i | ||||
\(541\) | −14.2115 | − | 17.8206i | −0.610998 | − | 0.766167i | 0.376049 | − | 0.926600i | \(-0.377282\pi\) |
−0.987047 | + | 0.160433i | \(0.948711\pi\) | |||||||
\(542\) | −13.1032 | + | 25.7377i | −0.562830 | + | 1.10553i | ||||
\(543\) | −5.00179 | − | 1.14163i | −0.214648 | − | 0.0489919i | ||||
\(544\) | 17.1611 | + | 27.2106i | 0.735776 | + | 1.16664i | ||||
\(545\) | 15.1761 | − | 31.5134i | 0.650071 | − | 1.34989i | ||||
\(546\) | −0.193375 | − | 0.212966i | −0.00827569 | − | 0.00911411i | ||||
\(547\) | 10.5783 | + | 21.9660i | 0.452294 | + | 0.939197i | 0.995056 | + | 0.0993113i | \(0.0316640\pi\) |
−0.542763 | + | 0.839886i | \(0.682622\pi\) | |||||||
\(548\) | 7.37497 | + | 10.1365i | 0.315043 | + | 0.433010i | ||||
\(549\) | 4.11311 | − | 8.54096i | 0.175543 | − | 0.364519i | ||||
\(550\) | 14.1351 | − | 56.1761i | 0.602725 | − | 2.39536i | ||||
\(551\) | 11.3270 | + | 49.6268i | 0.482546 | + | 2.11417i | ||||
\(552\) | 15.8349 | + | 8.96401i | 0.673976 | + | 0.381534i | ||||
\(553\) | 7.86631 | + | 1.09466i | 0.334510 | + | 0.0465497i | ||||
\(554\) | 0.161684 | − | 7.31305i | 0.00686930 | − | 0.310702i | ||||
\(555\) | −12.2892 | + | 25.5187i | −0.521646 | + | 1.08321i | ||||
\(556\) | 9.63240 | + | 0.426134i | 0.408505 | + | 0.0180721i | ||||
\(557\) | −30.0667 | −1.27397 | −0.636984 | − | 0.770877i | \(-0.719818\pi\) | ||||
−0.636984 | + | 0.770877i | \(0.719818\pi\) | |||||||
\(558\) | −0.100522 | + | 0.0765909i | −0.00425544 | + | 0.00324235i | ||||
\(559\) | −0.0739129 | − | 0.323834i | −0.00312618 | − | 0.0136967i | ||||
\(560\) | −31.1111 | − | 24.9272i | −1.31468 | − | 1.05336i | ||||
\(561\) | −5.64037 | + | 24.7121i | −0.238137 | + | 1.04334i | ||||
\(562\) | −13.2510 | − | 29.1471i | −0.558961 | − | 1.22950i | ||||
\(563\) | 2.89058 | − | 3.62467i | 0.121823 | − | 0.152762i | −0.717180 | − | 0.696888i | \(-0.754567\pi\) |
0.839003 | + | 0.544127i | \(0.183139\pi\) | |||||||
\(564\) | 0.500570 | + | 0.688007i | 0.0210778 | + | 0.0289703i | ||||
\(565\) | 75.4518 | + | 17.2214i | 3.17428 | + | 0.724509i | ||||
\(566\) | 0.819550 | + | 1.80269i | 0.0344482 | + | 0.0757728i | ||||
\(567\) | 2.63594 | − | 0.227595i | 0.110699 | − | 0.00955810i | ||||
\(568\) | 14.1938 | + | 20.4436i | 0.595558 | + | 0.857796i | ||||
\(569\) | −1.98747 | −0.0833190 | −0.0416595 | − | 0.999132i | \(-0.513264\pi\) | ||||
−0.0416595 | + | 0.999132i | \(0.513264\pi\) | |||||||
\(570\) | −26.9382 | − | 35.3552i | −1.12832 | − | 1.48087i | ||||
\(571\) | −22.8708 | + | 5.22011i | −0.957113 | + | 0.218455i | −0.672425 | − | 0.740166i | \(-0.734747\pi\) |
−0.284688 | + | 0.958620i | \(0.591890\pi\) | |||||||
\(572\) | 0.450565 | − | 0.516410i | 0.0188391 | − | 0.0215922i | ||||
\(573\) | 5.41505 | + | 4.31836i | 0.226217 | + | 0.180402i | ||||
\(574\) | −22.3710 | + | 1.43424i | −0.933749 | + | 0.0598641i | ||||
\(575\) | 46.2226 | − | 36.8613i | 1.92761 | − | 1.53722i | ||||
\(576\) | 6.68542 | + | 4.39376i | 0.278559 | + | 0.183074i | ||||
\(577\) | −22.8027 | + | 18.1845i | −0.949289 | + | 0.757032i | −0.970089 | − | 0.242751i | \(-0.921950\pi\) |
0.0207999 | + | 0.999784i | \(0.493379\pi\) | |||||||
\(578\) | −21.2533 | + | 4.35905i | −0.884022 | + | 0.181312i | ||||
\(579\) | −11.4492 | + | 14.3568i | −0.475811 | + | 0.596648i | ||||
\(580\) | −45.2191 | + | 8.23730i | −1.87762 | + | 0.342035i | ||||
\(581\) | 27.3536 | + | 28.8184i | 1.13482 | + | 1.19559i | ||||
\(582\) | 0.563630 | + | 2.74808i | 0.0233632 | + | 0.113912i | ||||
\(583\) | 10.9458 | + | 22.7293i | 0.453330 | + | 0.941349i | ||||
\(584\) | 0.926542 | + | 5.81219i | 0.0383406 | + | 0.240510i | ||||
\(585\) | 0.260925 | − | 0.125655i | 0.0107879 | − | 0.00519518i | ||||
\(586\) | 3.59378 | − | 14.2824i | 0.148458 | − | 0.590002i | ||||
\(587\) | −15.7767 | −0.651175 | −0.325587 | − | 0.945512i | \(-0.605562\pi\) | ||||
−0.325587 | + | 0.945512i | \(0.605562\pi\) | |||||||
\(588\) | −13.2860 | − | 4.41391i | −0.547905 | − | 0.182027i | ||||
\(589\) | 0.745593 | 0.0307216 | ||||||||
\(590\) | 4.56174 | − | 18.1293i | 0.187804 | − | 0.746372i | ||||
\(591\) | 22.6858 | − | 10.9249i | 0.933170 | − | 0.449391i | ||||
\(592\) | −20.7553 | + | 21.7666i | −0.853037 | + | 0.894601i | ||||
\(593\) | −4.52741 | − | 9.40127i | −0.185918 | − | 0.386064i | 0.787088 | − | 0.616840i | \(-0.211588\pi\) |
−0.973007 | + | 0.230777i | \(0.925873\pi\) | |||||||
\(594\) | 1.26646 | + | 6.17484i | 0.0519634 | + | 0.253357i | ||||
\(595\) | 48.7606 | − | 28.8934i | 1.99899 | − | 1.18451i | ||||
\(596\) | −1.80174 | − | 9.89074i | −0.0738022 | − | 0.405140i | ||||
\(597\) | −11.5738 | + | 14.5131i | −0.473685 | + | 0.593982i | ||||
\(598\) | 0.685198 | − | 0.140534i | 0.0280198 | − | 0.00574685i | ||||
\(599\) | −30.1746 | + | 24.0635i | −1.23290 | + | 0.983207i | −0.232959 | + | 0.972486i | \(0.574841\pi\) |
−0.999943 | + | 0.0107201i | \(0.996588\pi\) | |||||||
\(600\) | 21.3513 | − | 14.8240i | 0.871663 | − | 0.605185i | ||||
\(601\) | −30.5095 | + | 24.3305i | −1.24451 | + | 0.992464i | −0.244772 | + | 0.969581i | \(0.578713\pi\) |
−0.999738 | + | 0.0228831i | \(0.992715\pi\) | |||||||
\(602\) | −10.8672 | − | 11.9682i | −0.442914 | − | 0.487786i | ||||
\(603\) | 0.200997 | + | 0.160290i | 0.00818522 | + | 0.00652750i | ||||
\(604\) | −17.5046 | − | 15.2727i | −0.712254 | − | 0.621437i | ||||
\(605\) | 32.5614 | − | 7.43194i | 1.32381 | − | 0.302151i | ||||
\(606\) | 4.65546 | + | 6.11008i | 0.189115 | + | 0.248205i | ||||
\(607\) | −1.30155 | −0.0528281 | −0.0264140 | − | 0.999651i | \(-0.508409\pi\) | ||||
−0.0264140 | + | 0.999651i | \(0.508409\pi\) | |||||||
\(608\) | −15.6631 | − | 44.5237i | −0.635224 | − | 1.80567i | ||||
\(609\) | −13.8865 | + | 8.22854i | −0.562709 | + | 0.333437i | ||||
\(610\) | −20.9005 | − | 45.9731i | −0.846238 | − | 1.86140i | ||||
\(611\) | 0.0318864 | + | 0.00727786i | 0.00128999 | + | 0.000294431i | ||||
\(612\) | −9.19718 | + | 6.69155i | −0.371774 | + | 0.270490i | ||||
\(613\) | −4.62973 | + | 5.80549i | −0.186993 | + | 0.234482i | −0.866487 | − | 0.499199i | \(-0.833628\pi\) |
0.679495 | + | 0.733681i | \(0.262199\pi\) | |||||||
\(614\) | 11.8642 | + | 26.0966i | 0.478798 | + | 1.05317i | ||||
\(615\) | 5.02195 | − | 22.0026i | 0.202505 | − | 0.887231i | ||||
\(616\) | 6.77634 | − | 32.6587i | 0.273027 | − | 1.31586i | ||||
\(617\) | 7.52170 | + | 32.9547i | 0.302812 | + | 1.32671i | 0.865862 | + | 0.500284i | \(0.166771\pi\) |
−0.563049 | + | 0.826423i | \(0.690372\pi\) | |||||||
\(618\) | 6.32320 | − | 4.81784i | 0.254356 | − | 0.193802i | ||||
\(619\) | −38.0761 | −1.53041 | −0.765204 | − | 0.643788i | \(-0.777362\pi\) | ||||
−0.765204 | + | 0.643788i | \(0.777362\pi\) | |||||||
\(620\) | −0.0297547 | + | 0.672580i | −0.00119498 | + | 0.0270114i | ||||
\(621\) | −2.79129 | + | 5.79618i | −0.112011 | + | 0.232593i | ||||
\(622\) | −0.989965 | + | 44.7766i | −0.0396940 | + | 1.79538i | ||||
\(623\) | −14.7468 | + | 13.9973i | −0.590819 | + | 0.560790i | ||||
\(624\) | 0.304683 | − | 0.0416874i | 0.0121971 | − | 0.00166883i | ||||
\(625\) | −3.00496 | − | 13.1656i | −0.120198 | − | 0.526623i | ||||
\(626\) | −5.83640 | + | 23.1951i | −0.233270 | + | 0.927063i | ||||
\(627\) | 16.1356 | − | 33.5058i | 0.644392 | − | 1.33809i | ||||
\(628\) | 26.6716 | − | 19.4054i | 1.06431 | − | 0.774358i | ||||
\(629\) | −18.5529 | − | 38.5255i | −0.739752 | − | 1.53611i | ||||
\(630\) | 8.06480 | − | 11.5593i | 0.321309 | − | 0.460533i | ||||
\(631\) | −18.0268 | + | 37.4330i | −0.717635 | + | 1.49018i | 0.147723 | + | 0.989029i | \(0.452806\pi\) |
−0.865357 | + | 0.501155i | \(0.832909\pi\) | |||||||
\(632\) | −5.72198 | + | 6.27273i | −0.227608 | + | 0.249516i | ||||
\(633\) | −3.45637 | − | 0.788894i | −0.137378 | − | 0.0313557i | ||||
\(634\) | 15.6084 | − | 30.6586i | 0.619889 | − | 1.21761i | ||||
\(635\) | 25.9381 | + | 32.5253i | 1.02932 | + | 1.29073i | ||||
\(636\) | −3.00424 | + | 10.9141i | −0.119126 | + | 0.432772i | ||||
\(637\) | −0.496379 | + | 0.207913i | −0.0196672 | + | 0.00823782i | ||||
\(638\) | −23.3065 | − | 30.5888i | −0.922714 | − | 1.21102i | ||||
\(639\) | −6.87948 | + | 5.48621i | −0.272148 | + | 0.217031i | ||||
\(640\) | 40.7887 | − | 12.3525i | 1.61231 | − | 0.488275i | ||||
\(641\) | 6.39434 | − | 28.0154i | 0.252561 | − | 1.10654i | −0.676449 | − | 0.736489i | \(-0.736482\pi\) |
0.929010 | − | 0.370054i | \(-0.120661\pi\) | |||||||
\(642\) | −3.18072 | − | 1.61932i | −0.125533 | − | 0.0639094i | ||||
\(643\) | 43.2035 | + | 20.8057i | 1.70378 | + | 0.820497i | 0.993139 | + | 0.116943i | \(0.0373094\pi\) |
0.710641 | + | 0.703555i | \(0.248405\pi\) | |||||||
\(644\) | 25.7020 | − | 22.3213i | 1.01280 | − | 0.879584i | ||||
\(645\) | 14.6633 | − | 7.06148i | 0.577367 | − | 0.278046i | ||||
\(646\) | 67.0871 | + | 1.48323i | 2.63951 | + | 0.0583569i | ||||
\(647\) | 0.126999 | + | 0.0611596i | 0.00499285 | + | 0.00240443i | 0.436378 | − | 0.899763i | \(-0.356261\pi\) |
−0.431386 | + | 0.902168i | \(0.641975\pi\) | |||||||
\(648\) | −1.39338 | + | 2.46140i | −0.0547372 | + | 0.0966929i | ||||
\(649\) | 15.2489 | − | 3.48047i | 0.598572 | − | 0.136620i | ||||
\(650\) | 0.243814 | − | 0.968967i | 0.00956316 | − | 0.0380060i | ||||
\(651\) | 0.0722434 | + | 0.225120i | 0.00283144 | + | 0.00882314i | ||||
\(652\) | 1.82974 | − | 1.33126i | 0.0716582 | − | 0.0521360i | ||||
\(653\) | 34.6293 | + | 16.6766i | 1.35515 | + | 0.652605i | 0.963549 | − | 0.267531i | \(-0.0862077\pi\) |
0.391599 | + | 0.920136i | \(0.371922\pi\) | |||||||
\(654\) | 10.0831 | + | 8.41223i | 0.394280 | + | 0.328944i | ||||
\(655\) | − | 28.1637i | − | 1.10045i | ||||||
\(656\) | 12.2640 | − | 20.5889i | 0.478827 | − | 0.803862i | ||||
\(657\) | −2.02870 | + | 0.463037i | −0.0791470 | + | 0.0180648i | ||||
\(658\) | 1.52602 | − | 0.452765i | 0.0594905 | − | 0.0176506i | ||||
\(659\) | 36.4302 | + | 8.31495i | 1.41912 | + | 0.323905i | 0.862160 | − | 0.506636i | \(-0.169111\pi\) |
0.556959 | + | 0.830540i | \(0.311968\pi\) | |||||||
\(660\) | 29.5808 | + | 15.8926i | 1.15143 | + | 0.618619i | ||||
\(661\) | 31.5131 | + | 25.1308i | 1.22572 | + | 0.977476i | 0.999995 | + | 0.00328459i | \(0.00104552\pi\) |
0.225722 | + | 0.974192i | \(0.427526\pi\) | |||||||
\(662\) | −23.6460 | − | 0.522790i | −0.919028 | − | 0.0203188i | ||||
\(663\) | −0.0972893 | + | 0.426252i | −0.00377840 | + | 0.0165543i | ||||
\(664\) | −41.9468 | + | 6.68689i | −1.62785 | + | 0.259502i | ||||
\(665\) | −79.1782 | + | 25.4091i | −3.07040 | + | 0.985324i | ||||
\(666\) | −8.16501 | − | 6.81200i | −0.316388 | − | 0.263960i | ||||
\(667\) | − | 39.2485i | − | 1.51971i | ||||||
\(668\) | 2.58274 | − | 9.38284i | 0.0999293 | − | 0.363033i | ||||
\(669\) | 0.322048 | + | 1.41098i | 0.0124511 | + | 0.0545517i | ||||
\(670\) | 1.34163 | − | 0.275167i | 0.0518317 | − | 0.0106306i | ||||
\(671\) | 26.3442 | − | 33.0346i | 1.01701 | − | 1.27528i | ||||
\(672\) | 11.9255 | − | 9.04331i | 0.460038 | − | 0.348853i | ||||
\(673\) | 15.8649 | + | 19.8939i | 0.611547 | + | 0.766855i | 0.987128 | − | 0.159934i | \(-0.0511283\pi\) |
−0.375581 | + | 0.926790i | \(0.622557\pi\) | |||||||
\(674\) | −20.4256 | − | 17.0409i | −0.786766 | − | 0.656393i | ||||
\(675\) | 5.72978 | + | 7.18492i | 0.220539 | + | 0.276548i | ||||
\(676\) | −17.0855 | + | 19.5824i | −0.657136 | + | 0.753169i | ||||
\(677\) | −7.62244 | − | 6.07869i | −0.292954 | − | 0.233623i | 0.465973 | − | 0.884799i | \(-0.345705\pi\) |
−0.758927 | + | 0.651176i | \(0.774276\pi\) | |||||||
\(678\) | −13.1821 | + | 25.8927i | −0.506255 | + | 0.994404i | ||||
\(679\) | 5.19812 | + | 0.723361i | 0.199486 | + | 0.0277600i | ||||
\(680\) | −4.01526 | + | 60.4584i | −0.153978 | + | 2.31847i | ||||
\(681\) | 10.0454 | − | 4.83762i | 0.384941 | − | 0.185378i | ||||
\(682\) | −0.512774 | + | 0.233120i | −0.0196351 | + | 0.00892662i | ||||
\(683\) | 5.23185 | + | 10.8640i | 0.200191 | + | 0.415701i | 0.976761 | − | 0.214329i | \(-0.0687566\pi\) |
−0.776570 | + | 0.630031i | \(0.783042\pi\) | |||||||
\(684\) | 15.3399 | − | 6.56874i | 0.586536 | − | 0.251162i | ||||
\(685\) | 23.6103i | 0.902102i | ||||||||
\(686\) | −16.0857 | + | 20.6700i | −0.614155 | + | 0.789185i | ||||
\(687\) | − | 26.8152i | − | 1.02306i | ||||||
\(688\) | 17.1224 | − | 2.34273i | 0.652787 | − | 0.0893158i | ||||
\(689\) | 0.188802 | + | 0.392051i | 0.00719278 | + | 0.0149360i | ||||
\(690\) | 14.1838 | + | 31.1989i | 0.539968 | + | 1.18772i | ||||
\(691\) | −7.02323 | + | 3.38221i | −0.267176 | + | 0.128665i | −0.562676 | − | 0.826678i | \(-0.690228\pi\) |
0.295500 | + | 0.955343i | \(0.404514\pi\) | |||||||
\(692\) | −6.49180 | − | 5.66406i | −0.246781 | − | 0.215315i | ||||
\(693\) | 11.6800 | + | 1.62537i | 0.443686 | + | 0.0617425i | ||||
\(694\) | −12.9748 | − | 6.60553i | −0.492517 | − | 0.250742i | ||||
\(695\) | 14.1981 | + | 11.3226i | 0.538566 | + | 0.429492i | ||||
\(696\) | 1.14350 | − | 17.2179i | 0.0433444 | − | 0.652643i | ||||
\(697\) | 21.2432 | + | 26.6381i | 0.804644 | + | 1.00899i | ||||
\(698\) | −18.3625 | + | 22.0097i | −0.695030 | + | 0.833078i | ||||
\(699\) | −9.87019 | − | 12.3768i | −0.373325 | − | 0.468134i | ||||
\(700\) | −12.7980 | − | 46.9138i | −0.483719 | − | 1.77318i | ||||
\(701\) | −3.11122 | + | 3.90135i | −0.117509 | + | 0.147352i | −0.837107 | − | 0.547039i | \(-0.815755\pi\) |
0.719598 | + | 0.694391i | \(0.244326\pi\) | |||||||
\(702\) | 0.0218448 | + | 0.106508i | 0.000824479 | + | 0.00401990i | ||||
\(703\) | 13.9599 | + | 61.1625i | 0.526509 | + | 2.30679i | ||||
\(704\) | 24.6931 | + | 25.7234i | 0.930657 | + | 0.969487i | ||||
\(705\) | 1.60253i | 0.0603547i | ||||||||
\(706\) | 25.7826 | − | 30.9036i | 0.970343 | − | 1.16307i | ||||
\(707\) | 13.6836 | − | 4.39120i | 0.514623 | − | 0.165148i | ||||
\(708\) | 6.18260 | + | 3.32166i | 0.232356 | + | 0.124836i | ||||
\(709\) | −4.64857 | + | 20.3667i | −0.174581 | + | 0.764888i | 0.809493 | + | 0.587129i | \(0.199742\pi\) |
−0.984074 | + | 0.177759i | \(0.943115\pi\) | |||||||
\(710\) | −1.03612 | + | 46.8641i | −0.0388848 | + | 1.75878i | ||||
\(711\) | −2.34693 | − | 1.87161i | −0.0880168 | − | 0.0701910i | ||||
\(712\) | −3.42179 | − | 21.4649i | −0.128237 | − | 0.804430i | ||||
\(713\) | −0.560472 | − | 0.127924i | −0.0209898 | − | 0.00479080i | ||||
\(714\) | 6.05250 | + | 20.3996i | 0.226509 | + | 0.763436i | ||||
\(715\) | 1.25845 | − | 0.287233i | 0.0470634 | − | 0.0107419i | ||||
\(716\) | −35.6883 | − | 9.82366i | −1.33374 | − | 0.367127i | ||||
\(717\) | − | 7.34047i | − | 0.274135i | ||||||
\(718\) | −0.258179 | + | 0.309458i | −0.00963514 | + | 0.0115489i | ||||
\(719\) | −3.30991 | − | 1.59397i | −0.123439 | − | 0.0594451i | 0.371145 | − | 0.928575i | \(-0.378965\pi\) |
−0.494584 | + | 0.869130i | \(0.664680\pi\) | |||||||
\(720\) | 5.31331 | + | 14.0999i | 0.198015 | + | 0.525471i | ||||
\(721\) | −4.54436 | − | 14.1608i | −0.169241 | − | 0.527377i | ||||
\(722\) | −69.4170 | − | 17.4669i | −2.58343 | − | 0.650050i | ||||
\(723\) | 8.17989 | − | 1.86701i | 0.304213 | − | 0.0694347i | ||||
\(724\) | −4.03908 | − | 9.43244i | −0.150111 | − | 0.350554i | ||||
\(725\) | −50.5138 | − | 24.3261i | −1.87603 | − | 0.903450i | ||||
\(726\) | −0.277153 | + | 12.5358i | −0.0102861 | + | 0.465246i | ||||
\(727\) | 21.9013 | − | 10.5471i | 0.812275 | − | 0.391171i | 0.0188372 | − | 0.999823i | \(-0.494004\pi\) |
0.793438 | + | 0.608652i | \(0.208289\pi\) | |||||||
\(728\) | 0.116883 | − | 0.563323i | 0.00433199 | − | 0.0208781i | ||||
\(729\) | −0.900969 | − | 0.433884i | −0.0333692 | − | 0.0160698i | ||||
\(730\) | −5.02933 | + | 9.87878i | −0.186144 | + | 0.365630i | ||||
\(731\) | −5.46742 | + | 23.9543i | −0.202220 | + | 0.885983i | ||||
\(732\) | 18.6525 | − | 3.39783i | 0.689418 | − | 0.125587i | ||||
\(733\) | −0.308010 | + | 0.245630i | −0.0113766 | + | 0.00907256i | −0.629162 | − | 0.777275i | \(-0.716602\pi\) |
0.617785 | + | 0.786347i | \(0.288030\pi\) | |||||||
\(734\) | −38.7628 | + | 29.5346i | −1.43076 | + | 1.09014i | ||||
\(735\) | −15.3438 | − | 21.4446i | −0.565964 | − | 0.790997i | ||||
\(736\) | 4.13511 | + | 36.1564i | 0.152422 | + | 1.33274i | ||||
\(737\) | 0.714437 | + | 0.895876i | 0.0263166 | + | 0.0330000i | ||||
\(738\) | 7.55062 | + | 3.84405i | 0.277942 | + | 0.141501i | ||||
\(739\) | −2.70373 | − | 0.617109i | −0.0994584 | − | 0.0227007i | 0.172502 | − | 0.985009i | \(-0.444815\pi\) |
−0.271960 | + | 0.962308i | \(0.587672\pi\) | |||||||
\(740\) | −55.7302 | + | 10.1521i | −2.04868 | + | 0.373197i | ||||
\(741\) | 0.278318 | − | 0.577934i | 0.0102243 | − | 0.0212309i | ||||
\(742\) | 17.3684 | + | 12.1177i | 0.637612 | + | 0.444856i | ||||
\(743\) | −5.39373 | − | 11.2002i | −0.197877 | − | 0.410896i | 0.778294 | − | 0.627900i | \(-0.216086\pi\) |
−0.976171 | + | 0.217005i | \(0.930371\pi\) | |||||||
\(744\) | −0.242146 | − | 0.0724483i | −0.00887751 | − | 0.00265608i | ||||
\(745\) | 8.21580 | − | 17.0603i | 0.301004 | − | 0.625041i | ||||
\(746\) | 8.86801 | + | 2.23139i | 0.324681 | + | 0.0816969i | ||||
\(747\) | −3.34175 | − | 14.6412i | −0.122268 | − | 0.535692i | ||||
\(748\) | −46.6023 | + | 19.9557i | −1.70395 | + | 0.729651i | ||||
\(749\) | −4.84308 | + | 4.59692i | −0.176962 | + | 0.167968i | ||||
\(750\) | 22.3150 | + | 0.493362i | 0.814828 | + | 0.0180150i | ||||
\(751\) | −10.7992 | + | 22.4248i | −0.394069 | + | 0.818292i | 0.605676 | + | 0.795711i | \(0.292903\pi\) |
−0.999745 | + | 0.0225810i | \(0.992812\pi\) | |||||||
\(752\) | −0.523680 | + | 1.61909i | −0.0190967 | + | 0.0590422i | ||||
\(753\) | 8.32868 | 0.303514 | ||||||||
\(754\) | −0.402009 | − | 0.527618i | −0.0146403 | − | 0.0192147i | ||||
\(755\) | −9.73628 | − | 42.6574i | −0.354340 | − | 1.55246i | ||||
\(756\) | 3.46967 | + | 3.99517i | 0.126191 | + | 0.145303i | ||||
\(757\) | 8.21554 | − | 35.9946i | 0.298599 | − | 1.30825i | −0.573616 | − | 0.819124i | \(-0.694460\pi\) |
0.872215 | − | 0.489123i | \(-0.162683\pi\) | |||||||
\(758\) | 17.1738 | − | 7.80765i | 0.623781 | − | 0.283586i | ||||
\(759\) | −17.8780 | + | 22.4184i | −0.648932 | + | 0.813735i | ||||
\(760\) | 25.4812 | − | 85.1666i | 0.924300 | − | 3.08932i | ||||
\(761\) | 5.48637 | + | 1.25223i | 0.198881 | + | 0.0453932i | 0.320801 | − | 0.947147i | \(-0.396048\pi\) |
−0.121920 | + | 0.992540i | \(0.538905\pi\) | |||||||
\(762\) | −14.2180 | + | 6.46384i | −0.515063 | + | 0.234160i | ||||
\(763\) | 21.1348 | − | 12.5236i | 0.765131 | − | 0.453383i | ||||
\(764\) | −0.612218 | + | 13.8387i | −0.0221493 | + | 0.500666i | ||||
\(765\) | −21.4223 | −0.774527 | ||||||||
\(766\) | 11.3236 | − | 8.62782i | 0.409139 | − | 0.311736i | ||||
\(767\) | 0.263025 | − | 0.0600337i | 0.00949728 | − | 0.00216769i | ||||
\(768\) | 0.760614 | + | 15.9819i | 0.0274463 | + | 0.576698i | ||||
\(769\) | −16.6358 | − | 13.2666i | −0.599903 | − | 0.478406i | 0.275828 | − | 0.961207i | \(-0.411048\pi\) |
−0.875730 | + | 0.482801i | \(0.839620\pi\) | |||||||
\(770\) | 46.5095 | − | 42.2311i | 1.67609 | − | 1.52190i | ||||
\(771\) | −11.9240 | + | 9.50908i | −0.429433 | + | 0.342461i | ||||
\(772\) | −36.6902 | − | 1.62316i | −1.32051 | − | 0.0584188i | ||||
\(773\) | −25.5154 | + | 20.3479i | −0.917726 | + | 0.731862i | −0.963674 | − | 0.267081i | \(-0.913941\pi\) |
0.0459476 | + | 0.998944i | \(0.485369\pi\) | |||||||
\(774\) | 1.22762 | + | 5.98551i | 0.0441260 | + | 0.215145i | ||||
\(775\) | −0.512020 | + | 0.642053i | −0.0183923 | + | 0.0230632i | ||||
\(776\) | −3.78113 | + | 4.14507i | −0.135735 | + | 0.148799i | ||||
\(777\) | −17.1144 | + | 10.1412i | −0.613976 | + | 0.363815i | ||||
\(778\) | 31.2998 | − | 6.41957i | 1.12215 | − | 0.230153i | ||||
\(779\) | −21.6889 | − | 45.0375i | −0.777087 | − | 1.61364i | ||||
\(780\) | 0.510232 | + | 0.274128i | 0.0182692 | + | 0.00981534i | ||||
\(781\) | −35.3355 | + | 17.0167i | −1.26440 | + | 0.608904i | ||||
\(782\) | −50.1758 | − | 12.6254i | −1.79428 | − | 0.451482i | ||||
\(783\) | 6.10086 | 0.218027 | ||||||||
\(784\) | −8.49461 | − | 26.6804i | −0.303379 | − | 0.952870i | ||||
\(785\) | 62.1244 | 2.21732 | ||||||||
\(786\) | 10.2538 | + | 2.58009i | 0.365742 | + | 0.0920287i | ||||
\(787\) | −9.39920 | + | 4.52642i | −0.335045 | + | 0.161349i | −0.593840 | − | 0.804583i | \(-0.702389\pi\) |
0.258795 | + | 0.965932i | \(0.416675\pi\) | |||||||
\(788\) | 44.3616 | + | 23.8337i | 1.58032 | + | 0.849042i | ||||
\(789\) | −2.59586 | − | 5.39035i | −0.0924150 | − | 0.191902i | ||||
\(790\) | −15.6655 | + | 3.21298i | −0.557353 | + | 0.114313i | ||||
\(791\) | 37.4213 | + | 39.4252i | 1.33055 | + | 1.40180i | ||||
\(792\) | −8.49607 | + | 9.31382i | −0.301895 | + | 0.330952i | ||||
\(793\) | 0.454404 | − | 0.569805i | 0.0161364 | − | 0.0202344i | ||||
\(794\) | 6.06783 | + | 29.5848i | 0.215339 | + | 1.04993i | ||||
\(795\) | −16.6694 | + | 13.2934i | −0.591201 | + | 0.471467i | ||||
\(796\) | −37.0896 | − | 1.64083i | −1.31461 | − | 0.0581577i | ||||
\(797\) | −24.7003 | + | 19.6978i | −0.874929 | + | 0.697732i | −0.954216 | − | 0.299119i | \(-0.903307\pi\) |
0.0792868 | + | 0.996852i | \(0.474736\pi\) | |||||||
\(798\) | −1.99739 | − | 31.1548i | −0.0707067 | − | 1.10287i | ||||
\(799\) | −1.89151 | − | 1.50843i | −0.0669167 | − | 0.0533643i | ||||
\(800\) | 49.0971 | + | 17.0877i | 1.73584 | + | 0.604140i | ||||
\(801\) | 7.49213 | − | 1.71003i | 0.264721 | − | 0.0604209i | ||||
\(802\) | −16.3869 | + | 12.4857i | −0.578641 | + | 0.440884i | ||||
\(803\) | −9.27476 | −0.327299 | ||||||||
\(804\) | −0.0227244 | + | 0.513667i | −0.000801429 | + | 0.0181156i | ||||
\(805\) | 63.8789 | − | 5.51549i | 2.25144 | − | 0.194396i | ||||
\(806\) | −0.00884471 | + | 0.00402103i | −0.000311542 | + | 0.000141635i | ||||
\(807\) | 15.5301 | + | 3.54464i | 0.546685 | + | 0.124777i | ||||
\(808\) | −4.40365 | + | 14.7185i | −0.154920 | + | 0.517794i | ||||
\(809\) | −6.39616 | + | 8.02052i | −0.224877 | + | 0.281987i | −0.881452 | − | 0.472274i | \(-0.843433\pi\) |
0.656575 | + | 0.754261i | \(0.272005\pi\) | |||||||
\(810\) | −4.84961 | + | 2.20476i | −0.170398 | + | 0.0774673i | ||||
\(811\) | −4.81531 | + | 21.0972i | −0.169088 | + | 0.740824i | 0.817276 | + | 0.576247i | \(0.195483\pi\) |
−0.986364 | + | 0.164578i | \(0.947374\pi\) | |||||||
\(812\) | −29.6472 | − | 12.7758i | −1.04041 | − | 0.448342i | ||||
\(813\) | −4.54435 | − | 19.9101i | −0.159377 | − | 0.698277i | ||||
\(814\) | −28.7241 | − | 37.6991i | −1.00678 | − | 1.32135i | ||||
\(815\) | 4.26189 | 0.149287 | ||||||||
\(816\) | −21.6438 | − | 7.00048i | −0.757683 | − | 0.245066i | ||||
\(817\) | 15.6408 | − | 32.4785i | 0.547203 | − | 1.13628i | ||||
\(818\) | 36.7237 | + | 0.811924i | 1.28401 | + | 0.0283883i | ||||
\(819\) | 0.201465 | + | 0.0280355i | 0.00703977 | + | 0.000979641i | ||||
\(820\) | 41.4927 | − | 17.7677i | 1.44899 | − | 0.620475i | ||||
\(821\) | 6.78055 | + | 29.7075i | 0.236643 | + | 1.03680i | 0.944001 | + | 0.329944i | \(0.107030\pi\) |
−0.707358 | + | 0.706856i | \(0.750113\pi\) | |||||||
\(822\) | −8.59600 | − | 2.16294i | −0.299820 | − | 0.0754413i | ||||
\(823\) | −10.9106 | + | 22.6561i | −0.380319 | + | 0.789741i | 0.619669 | + | 0.784863i | \(0.287267\pi\) |
−0.999988 | + | 0.00487749i | \(0.998447\pi\) | |||||||
\(824\) | 15.2319 | + | 4.55725i | 0.530627 | + | 0.158759i | ||||
\(825\) | 17.7722 | + | 36.9043i | 0.618748 | + | 1.28484i | ||||
\(826\) | 9.72081 | − | 8.82658i | 0.338230 | − | 0.307116i | ||||
\(827\) | 12.0630 | − | 25.0491i | 0.419472 | − | 0.871043i | −0.578975 | − | 0.815345i | \(-0.696547\pi\) |
0.998448 | − | 0.0556982i | \(-0.0177385\pi\) | |||||||
\(828\) | −12.6582 | + | 2.30588i | −0.439904 | + | 0.0801349i | ||||
\(829\) | 8.28204 | + | 1.89032i | 0.287647 | + | 0.0656535i | 0.363910 | − | 0.931434i | \(-0.381442\pi\) |
−0.0762628 | + | 0.997088i | \(0.524299\pi\) | |||||||
\(830\) | −71.2955 | − | 36.2968i | −2.47470 | − | 1.25988i | ||||
\(831\) | 3.22492 | + | 4.04392i | 0.111871 | + | 0.140282i | ||||
\(832\) | 0.425925 | + | 0.443697i | 0.0147663 | + | 0.0153824i | ||||
\(833\) | 39.7544 | + | 2.07471i | 1.37741 | + | 0.0718844i | ||||
\(834\) | −5.42303 | + | 4.13197i | −0.187784 | + | 0.143078i | ||||
\(835\) | 14.3306 | − | 11.4283i | 0.495933 | − | 0.395493i | ||||
\(836\) | 73.1732 | − | 13.3296i | 2.53075 | − | 0.461012i | ||||
\(837\) | 0.0198848 | − | 0.0871208i | 0.000687318 | − | 0.00301133i | ||||
\(838\) | 5.59004 | − | 10.9802i | 0.193105 | − | 0.379303i | ||||
\(839\) | −29.9936 | − | 14.4441i | −1.03549 | − | 0.498667i | −0.162658 | − | 0.986682i | \(-0.552007\pi\) |
−0.872835 | + | 0.488015i | \(0.837721\pi\) | |||||||
\(840\) | 28.1837 | − | 0.558481i | 0.972429 | − | 0.0192694i | ||||
\(841\) | −7.40644 | + | 3.56675i | −0.255395 | + | 0.122992i | ||||
\(842\) | −0.0979628 | + | 4.43090i | −0.00337602 | + | 0.152699i | ||||
\(843\) | 20.3980 | + | 9.82316i | 0.702544 | + | 0.338327i | ||||
\(844\) | −2.79111 | − | 6.51806i | −0.0960740 | − | 0.224361i | ||||
\(845\) | −47.7208 | + | 10.8920i | −1.64164 | + | 0.374695i | ||||
\(846\) | −0.583446 | − | 0.146808i | −0.0200593 | − | 0.00504737i | ||||
\(847\) | 21.9321 | + | 8.32223i | 0.753597 | + | 0.285955i | ||||
\(848\) | −21.1857 | + | 7.98349i | −0.727521 | + | 0.274154i | ||||
\(849\) | −1.26158 | − | 0.607543i | −0.0432972 | − | 0.0208508i | ||||
\(850\) | −47.3480 | + | 56.7523i | −1.62402 | + | 1.94659i | ||||
\(851\) | − | 48.3718i | − | 1.65816i | ||||||
\(852\) | −16.9673 | − | 4.67047i | −0.581291 | − | 0.160008i | ||||
\(853\) | −0.276154 | + | 0.0630304i | −0.00945533 | + | 0.00215812i | −0.227246 | − | 0.973837i | \(-0.572972\pi\) |
0.217791 | + | 0.975996i | \(0.430115\pi\) | |||||||
\(854\) | 5.66416 | − | 35.0148i | 0.193824 | − | 1.19818i | ||||
\(855\) | 30.6418 | + | 6.99378i | 1.04793 | + | 0.239182i | ||||
\(856\) | −1.12377 | − | 7.04938i | −0.0384095 | − | 0.240943i | ||||
\(857\) | 26.7864 | + | 21.3614i | 0.915006 | + | 0.729693i | 0.963098 | − | 0.269150i | \(-0.0867426\pi\) |
−0.0480920 | + | 0.998843i | \(0.515314\pi\) | |||||||
\(858\) | −0.0107116 | + | 0.484489i | −0.000365686 | + | 0.0165402i | ||||
\(859\) | −0.717181 | + | 3.14217i | −0.0244699 | + | 0.107210i | −0.985688 | − | 0.168580i | \(-0.946082\pi\) |
0.961218 | + | 0.275789i | \(0.0889391\pi\) | |||||||
\(860\) | 28.6738 | + | 15.4053i | 0.977768 | + | 0.525316i | ||||
\(861\) | 11.4968 | − | 10.9125i | 0.391811 | − | 0.371897i | ||||
\(862\) | −24.8736 | + | 29.8140i | −0.847197 | + | 1.01547i | ||||
\(863\) | − | 27.8256i | − | 0.947195i | −0.880741 | − | 0.473597i | \(-0.842955\pi\) | ||
0.880741 | − | 0.473597i | \(-0.157045\pi\) | |||||||
\(864\) | −5.62022 | + | 0.642769i | −0.191204 | + | 0.0218674i | ||||
\(865\) | −3.61081 | − | 15.8200i | −0.122771 | − | 0.537896i | ||||
\(866\) | 0.256828 | + | 1.25221i | 0.00872739 | + | 0.0425520i | ||||
\(867\) | 9.56508 | − | 11.9942i | 0.324847 | − | 0.407346i | ||||
\(868\) | −0.279069 | + | 0.381723i | −0.00947222 | + | 0.0129565i | ||||
\(869\) | −8.34209 | − | 10.4607i | −0.282986 | − | 0.354853i | ||||
\(870\) | 20.8207 | − | 24.9561i | 0.705887 | − | 0.846091i | ||||
\(871\) | 0.0123231 | + | 0.0154527i | 0.000417554 | + | 0.000523596i | ||||
\(872\) | −1.74037 | + | 26.2051i | −0.0589365 | + | 0.887417i | ||||
\(873\) | −1.55087 | − | 1.23678i | −0.0524890 | − | 0.0418586i | ||||
\(874\) | 67.6479 | + | 34.4398i | 2.28823 | + | 1.16494i | ||||
\(875\) | 14.8145 | − | 39.0415i | 0.500820 | − | 1.31984i | ||||
\(876\) | −3.13592 | − | 2.73607i | −0.105953 | − | 0.0924432i | ||||
\(877\) | −32.7822 | + | 15.7871i | −1.10698 | + | 0.533092i | −0.895845 | − | 0.444366i | \(-0.853429\pi\) |
−0.211131 | + | 0.977458i | \(0.567715\pi\) | |||||||
\(878\) | 5.21099 | + | 11.4622i | 0.175863 | + | 0.386830i | ||||
\(879\) | 4.51847 | + | 9.38270i | 0.152404 | + | 0.316470i | ||||
\(880\) | 9.10409 | + | 66.5396i | 0.306899 | + | 2.24305i | ||||
\(881\) | 35.2771i | 1.18851i | 0.804275 | + | 0.594257i | \(0.202554\pi\) | ||||
−0.804275 | + | 0.594257i | \(0.797446\pi\) | |||||||
\(882\) | 9.21318 | − | 3.62179i | 0.310224 | − | 0.121952i | ||||
\(883\) | 23.6936i | 0.797354i | 0.917092 | + | 0.398677i | \(0.130530\pi\) | ||||
−0.917092 | + | 0.398677i | \(0.869470\pi\) | |||||||
\(884\) | −0.803831 | + | 0.344210i | −0.0270358 | + | 0.0115770i | ||||
\(885\) | 5.73549 | + | 11.9099i | 0.192796 | + | 0.400346i | ||||
\(886\) | −23.9420 | + | 10.8846i | −0.804348 | + | 0.365677i | ||||
\(887\) | −23.6571 | + | 11.3926i | −0.794327 | + | 0.382528i | −0.786616 | − | 0.617443i | \(-0.788169\pi\) |
−0.00771101 | + | 0.999970i | \(0.502455\pi\) | |||||||
\(888\) | 1.40931 | − | 21.2202i | 0.0472933 | − | 0.712103i | ||||
\(889\) | 2.51352 | + | 29.1109i | 0.0843007 | + | 0.976348i | ||||
\(890\) | 18.5737 | − | 36.4831i | 0.622591 | − | 1.22292i | ||||
\(891\) | −3.48475 | − | 2.77900i | −0.116744 | − | 0.0930998i | ||||
\(892\) | −1.90297 | + | 2.18107i | −0.0637161 | + | 0.0730275i | ||||
\(893\) | 2.21309 | + | 2.77512i | 0.0740581 | + | 0.0928659i | ||||
\(894\) | 5.45864 | + | 4.55410i | 0.182564 | + | 0.152312i | ||||
\(895\) | −43.4685 | − | 54.5077i | −1.45299 | − | 1.82199i | ||||
\(896\) | 28.6575 | + | 8.64572i | 0.957379 | + | 0.288833i | ||||
\(897\) | −0.308374 | + | 0.386689i | −0.0102963 | + | 0.0129112i | ||||
\(898\) | 26.3418 | − | 5.40268i | 0.879036 | − | 0.180290i | ||||
\(899\) | 0.121314 | + | 0.531512i | 0.00404605 | + | 0.0177269i | ||||
\(900\) | −4.87782 | + | 17.7206i | −0.162594 | + | 0.590687i | ||||
\(901\) | − | 32.1881i | − | 1.07234i | ||||||
\(902\) | 28.9980 | + | 24.1928i | 0.965527 | + | 0.805531i | ||||
\(903\) | 11.3219 | + | 1.57553i | 0.376768 | + | 0.0524303i | ||||
\(904\) | −57.3857 | + | 9.14805i | −1.90862 | + | 0.304260i | ||||
\(905\) | 4.30044 | − | 18.8415i | 0.142952 | − | 0.626312i | ||||
\(906\) | 16.4226 | + | 0.363087i | 0.545605 | + | 0.0120628i | ||||
\(907\) | 44.7718 | + | 35.7043i | 1.48662 | + | 1.18554i | 0.936603 | + | 0.350393i | \(0.113952\pi\) |
0.550022 | + | 0.835150i | \(0.314620\pi\) | |||||||
\(908\) | 19.6436 | + | 10.5537i | 0.651895 | + | 0.350237i | ||||
\(909\) | −5.29550 | − | 1.20866i | −0.175641 | − | 0.0400888i | ||||
\(910\) | 0.802231 | − | 0.728433i | 0.0265937 | − | 0.0241473i | ||||
\(911\) | 2.82047 | − | 0.643754i | 0.0934463 | − | 0.0213285i | −0.175542 | − | 0.984472i | \(-0.556168\pi\) |
0.268988 | + | 0.963143i | \(0.413311\pi\) | |||||||
\(912\) | 28.6730 | + | 17.0793i | 0.949459 | + | 0.565552i | ||||
\(913\) | − | 66.9363i | − | 2.21527i | ||||||
\(914\) | 7.54511 | + | 6.29482i | 0.249570 | + | 0.208214i | ||||
\(915\) | 32.1733 | + | 15.4938i | 1.06362 | + | 0.512211i | ||||
\(916\) | 43.3668 | − | 31.5522i | 1.43288 | − | 1.04251i | ||||
\(917\) | 10.9572 | − | 16.4691i | 0.361839 | − | 0.543858i | ||||
\(918\) | 1.96251 | − | 7.79942i | 0.0647724 | − | 0.257419i | ||||
\(919\) | 1.80022 | − | 0.410888i | 0.0593837 | − | 0.0135539i | −0.192726 | − | 0.981253i | \(-0.561733\pi\) |
0.252110 | + | 0.967699i | \(0.418876\pi\) | |||||||
\(920\) | −33.7669 | + | 59.6490i | −1.11326 | + | 1.96657i | ||||
\(921\) | −18.2631 | − | 8.79505i | −0.601790 | − | 0.289807i | ||||
\(922\) | −4.63793 | − | 0.102540i | −0.152742 | − | 0.00337697i | ||||
\(923\) | −0.609493 | + | 0.293516i | −0.0200617 | + | 0.00966121i | ||||
\(924\) | 11.1147 | + | 20.8019i | 0.365646 | + | 0.684333i | ||||
\(925\) | −62.2556 | − | 29.9807i | −2.04695 | − | 0.985760i | ||||
\(926\) | 30.8215 | + | 15.6913i | 1.01286 | + | 0.515649i | ||||
\(927\) | −1.25082 | + | 5.48021i | −0.0410824 | + | 0.179994i | ||||
\(928\) | 29.1911 | − | 18.4102i | 0.958246 | − | 0.604344i | ||||
\(929\) | 32.0036 | − | 25.5220i | 1.05000 | − | 0.837350i | 0.0629945 | − | 0.998014i | \(-0.479935\pi\) |
0.987009 | + | 0.160664i | \(0.0513635\pi\) | |||||||
\(930\) | −0.288514 | − | 0.378661i | −0.00946073 | − | 0.0124168i | ||||
\(931\) | −56.1860 | − | 15.9463i | −1.84142 | − | 0.522618i | ||||
\(932\) | 8.40260 | − | 30.5258i | 0.275236 | − | 0.999904i | ||||
\(933\) | −19.7456 | − | 24.7603i | −0.646444 | − | 0.810615i | ||||
\(934\) | −15.0248 | + | 29.5122i | −0.491627 | + | 0.965670i | ||||
\(935\) | −93.0889 | − | 21.2469i | −3.04433 | − | 0.694849i | ||||
\(936\) | −0.146547 | + | 0.160652i | −0.00479002 | + | 0.00525107i | ||||
\(937\) | 3.90633 | − | 8.11158i | 0.127614 | − | 0.264994i | −0.827366 | − | 0.561663i | \(-0.810162\pi\) |
0.954980 | + | 0.296669i | \(0.0958760\pi\) | |||||||
\(938\) | 0.891590 | + | 0.361058i | 0.0291114 | + | 0.0117890i | ||||
\(939\) | −7.33813 | − | 15.2378i | −0.239471 | − | 0.497266i | ||||
\(940\) | −2.59168 | + | 1.88562i | −0.0845314 | + | 0.0615021i | ||||
\(941\) | 21.1655 | − | 43.9506i | 0.689975 | − | 1.43275i | −0.201412 | − | 0.979507i | \(-0.564553\pi\) |
0.891387 | − | 0.453242i | \(-0.149733\pi\) | |||||||
\(942\) | −5.69124 | + | 22.6182i | −0.185430 | + | 0.736940i | ||||
\(943\) | 8.57661 | + | 37.5766i | 0.279293 | + | 1.22366i | ||||
\(944\) | 1.90282 | + | 13.9072i | 0.0619315 | + | 0.452642i | ||||
\(945\) | 0.857338 | + | 9.92945i | 0.0278892 | + | 0.323005i | ||||
\(946\) | −0.601963 | + | 27.2271i | −0.0195715 | + | 0.885228i | ||||
\(947\) | 18.0855 | − | 37.5548i | 0.587698 | − | 1.22037i | −0.369039 | − | 0.929414i | \(-0.620313\pi\) |
0.956737 | − | 0.290954i | \(-0.0939727\pi\) | |||||||
\(948\) | 0.265341 | − | 5.99781i | 0.00861787 | − | 0.194800i | ||||
\(949\) | −0.159978 | −0.00519311 | ||||||||
\(950\) | 86.2529 | − | 65.7187i | 2.79841 | − | 2.13220i | ||||
\(951\) | 5.41319 | + | 23.7167i | 0.175535 | + | 0.769067i | ||||
\(952\) | −25.8695 | + | 33.7916i | −0.838436 | + | 1.09519i | ||||
\(953\) | 7.15707 | − | 31.3572i | 0.231840 | − | 1.01576i | −0.716272 | − | 0.697822i | \(-0.754153\pi\) |
0.948112 | − | 0.317937i | \(-0.102990\pi\) | |||||||
\(954\) | −3.31275 | − | 7.28677i | −0.107254 | − | 0.235918i | ||||
\(955\) | −16.2670 | + | 20.3982i | −0.526388 | + | 0.660070i | ||||
\(956\) | 11.8714 | − | 8.63718i | 0.383947 | − | 0.279346i | ||||
\(957\) | 26.5108 | + | 6.05091i | 0.856971 | + | 0.195598i | ||||
\(958\) | −20.5192 | − | 45.1344i | −0.662947 | − | 1.45823i | ||||
\(959\) | −9.18566 | + | 13.8064i | −0.296621 | + | 0.445832i | ||||
\(960\) | −16.5511 | + | 25.1836i | −0.534183 | + | 0.812797i | ||||
\(961\) | −30.9920 | −0.999742 | ||||||||
\(962\) | −0.495455 | − | 0.650263i | −0.0159741 | − | 0.0209653i | ||||
\(963\) | 2.46053 | − | 0.561599i | 0.0792893 | − | 0.0180973i | ||||
\(964\) | 12.6443 | + | 11.0321i | 0.407246 | + | 0.355320i | ||||
\(965\) | −54.0812 | − | 43.1283i | −1.74094 | − | 1.38835i | ||||
\(966\) | −3.84389 | + | 23.7622i | −0.123675 | + | 0.764537i | ||||
\(967\) | −44.0580 | + | 35.1350i | −1.41681 | + | 1.12987i | −0.444606 | + | 0.895726i | \(0.646656\pi\) |
−0.972203 | + | 0.234140i | \(0.924772\pi\) | |||||||
\(968\) | −20.5996 | + | 14.3020i | −0.662095 | + | 0.459685i | ||||
\(969\) | −37.0974 | + | 29.5842i | −1.19174 | + | 0.950381i | ||||
\(970\) | −10.3519 | + | 2.12316i | −0.332378 | + | 0.0681707i | ||||
\(971\) | −8.85703 | + | 11.1064i | −0.284236 | + | 0.356420i | −0.903368 | − | 0.428867i | \(-0.858913\pi\) |
0.619132 | + | 0.785287i | \(0.287484\pi\) | |||||||
\(972\) | −0.358430 | − | 1.96762i | −0.0114967 | − | 0.0631114i | ||||
\(973\) | 3.89743 | + | 12.1449i | 0.124946 | + | 0.389347i | ||||
\(974\) | 1.85959 | + | 9.06678i | 0.0595852 | + | 0.290518i | ||||
\(975\) | 0.306548 | + | 0.636553i | 0.00981739 | + | 0.0203860i | ||||
\(976\) | 27.4427 | + | 26.1677i | 0.878419 | + | 0.837608i | ||||
\(977\) | −52.0524 | + | 25.0671i | −1.66530 | + | 0.801968i | −0.666921 | + | 0.745128i | \(0.732388\pi\) |
−0.998383 | + | 0.0568402i | \(0.981897\pi\) | |||||||
\(978\) | −0.390433 | + | 1.55166i | −0.0124847 | + | 0.0496167i | ||||
\(979\) | 34.2524 | 1.09471 | ||||||||
\(980\) | 16.6270 | − | 50.0475i | 0.531128 | − | 1.59871i | ||||
\(981\) | −9.28532 | −0.296457 | ||||||||
\(982\) | 5.62935 | − | 22.3722i | 0.179640 | − | 0.713926i | ||||
\(983\) | −0.455845 | + | 0.219524i | −0.0145392 | + | 0.00700171i | −0.441139 | − | 0.897439i | \(-0.645426\pi\) |
0.426600 | + | 0.904440i | \(0.359711\pi\) | |||||||
\(984\) | 2.66768 | + | 16.7343i | 0.0850424 | + | 0.533471i | ||||
\(985\) | 41.1535 | + | 85.4562i | 1.31126 | + | 2.72286i | ||||
\(986\) | 9.85829 | + | 48.0659i | 0.313952 | + | 1.53073i | ||||
\(987\) | −0.623470 | + | 0.937099i | −0.0198453 | + | 0.0298282i | ||||
\(988\) | 1.26215 | − | 0.229918i | 0.0401542 | − | 0.00731467i | ||||
\(989\) | −17.3299 | + | 21.7310i | −0.551057 | + | 0.691004i | ||||
\(990\) | −23.2603 | + | 4.77067i | −0.739260 | + | 0.151622i | ||||
\(991\) | 23.4583 | − | 18.7074i | 0.745177 | − | 0.594259i | −0.175548 | − | 0.984471i | \(-0.556170\pi\) |
0.920725 | + | 0.390212i | \(0.127598\pi\) | |||||||
\(992\) | −0.167755 | − | 0.476857i | −0.00532623 | − | 0.0151402i | ||||
\(993\) | 13.0756 | − | 10.4275i | 0.414942 | − | 0.330905i | ||||
\(994\) | −18.8386 | + | 27.0013i | −0.597523 | + | 0.856429i | ||||
\(995\) | −54.6700 | − | 43.5979i | −1.73316 | − | 1.38215i | ||||
\(996\) | 19.7463 | − | 22.6320i | 0.625686 | − | 0.717123i | ||||
\(997\) | 7.93383 | − | 1.81084i | 0.251267 | − | 0.0573500i | −0.0950322 | − | 0.995474i | \(-0.530295\pi\) |
0.346299 | + | 0.938124i | \(0.387438\pi\) | |||||||
\(998\) | 11.5434 | + | 15.1502i | 0.365399 | + | 0.479570i | ||||
\(999\) | 7.51900 | 0.237891 |
(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 | 588.2.x.b.139.3 | yes | 168 | |
4.3 | odd | 2 | 588.2.x.a.139.14 | yes | 168 | ||
49.6 | odd | 14 | 588.2.x.a.55.14 | ✓ | 168 | ||
196.55 | even | 14 | inner | 588.2.x.b.55.3 | yes | 168 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
588.2.x.a.55.14 | ✓ | 168 | 49.6 | odd | 14 | ||
588.2.x.a.139.14 | yes | 168 | 4.3 | odd | 2 | ||
588.2.x.b.55.3 | yes | 168 | 196.55 | even | 14 | inner | |
588.2.x.b.139.3 | yes | 168 | 1.1 | even | 1 | trivial |