Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,2,Mod(67,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 0, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.67");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.w (of order \(20\), degree \(8\), 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: | \(2.39551206064\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(30\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 67.25 | ||
Character | \(\chi\) | \(=\) | 300.67 |
Dual form | 300.2.w.a.103.25 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{13}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.08989 | + | 0.901189i | 0.770668 | + | 0.637237i | ||||
\(3\) | 0.987688 | + | 0.156434i | 0.570242 | + | 0.0903175i | ||||
\(4\) | 0.375716 | + | 1.96439i | 0.187858 | + | 0.982196i | ||||
\(5\) | 1.21468 | − | 1.87738i | 0.543222 | − | 0.839589i | ||||
\(6\) | 0.935494 | + | 1.06059i | 0.381914 | + | 0.432984i | ||||
\(7\) | 0.466793 | − | 0.466793i | 0.176431 | − | 0.176431i | −0.613367 | − | 0.789798i | \(-0.710185\pi\) |
0.789798 | + | 0.613367i | \(0.210185\pi\) | |||||||
\(8\) | −1.36080 | + | 2.47956i | −0.481116 | + | 0.876657i | ||||
\(9\) | 0.951057 | + | 0.309017i | 0.317019 | + | 0.103006i | ||||
\(10\) | 3.01574 | − | 0.951476i | 0.953661 | − | 0.300883i | ||||
\(11\) | −1.78159 | + | 0.578872i | −0.537168 | + | 0.174537i | −0.565023 | − | 0.825075i | \(-0.691133\pi\) |
0.0278542 | + | 0.999612i | \(0.491133\pi\) | |||||||
\(12\) | 0.0637917 | + | 1.99898i | 0.0184151 | + | 0.577057i | ||||
\(13\) | 0.234433 | + | 0.460102i | 0.0650201 | + | 0.127609i | 0.921229 | − | 0.389020i | \(-0.127186\pi\) |
−0.856209 | + | 0.516630i | \(0.827186\pi\) | |||||||
\(14\) | 0.929422 | − | 0.0880838i | 0.248399 | − | 0.0235414i | ||||
\(15\) | 1.49341 | − | 1.66425i | 0.385598 | − | 0.429707i | ||||
\(16\) | −3.71767 | + | 1.47611i | −0.929419 | + | 0.369027i | ||||
\(17\) | −0.610050 | − | 3.85171i | −0.147959 | − | 0.934176i | −0.944242 | − | 0.329252i | \(-0.893203\pi\) |
0.796283 | − | 0.604924i | \(-0.206797\pi\) | |||||||
\(18\) | 0.758063 | + | 1.19388i | 0.178677 | + | 0.281399i | ||||
\(19\) | 0.124246 | + | 0.0902702i | 0.0285041 | + | 0.0207094i | 0.601946 | − | 0.798537i | \(-0.294392\pi\) |
−0.573442 | + | 0.819246i | \(0.694392\pi\) | |||||||
\(20\) | 4.14428 | + | 1.68075i | 0.926690 | + | 0.375827i | ||||
\(21\) | 0.534069 | − | 0.388024i | 0.116543 | − | 0.0846738i | ||||
\(22\) | −2.46340 | − | 0.974639i | −0.525200 | − | 0.207794i | ||||
\(23\) | −2.60885 | + | 5.12015i | −0.543982 | + | 1.06762i | 0.441407 | + | 0.897307i | \(0.354479\pi\) |
−0.985389 | + | 0.170318i | \(0.945521\pi\) | |||||||
\(24\) | −1.73194 | + | 2.23616i | −0.353530 | + | 0.456454i | ||||
\(25\) | −2.04910 | − | 4.56083i | −0.409820 | − | 0.912167i | ||||
\(26\) | −0.159132 | + | 0.712729i | −0.0312084 | + | 0.139778i | ||||
\(27\) | 0.891007 | + | 0.453990i | 0.171474 | + | 0.0873705i | ||||
\(28\) | 1.09235 | + | 0.741584i | 0.206434 | + | 0.140146i | ||||
\(29\) | −2.19816 | − | 3.02551i | −0.408189 | − | 0.561824i | 0.554587 | − | 0.832126i | \(-0.312876\pi\) |
−0.962776 | + | 0.270302i | \(0.912876\pi\) | |||||||
\(30\) | 3.12746 | − | 0.467996i | 0.570993 | − | 0.0854440i | ||||
\(31\) | −4.91991 | + | 6.77167i | −0.883642 | + | 1.21623i | 0.0917572 | + | 0.995781i | \(0.470752\pi\) |
−0.975399 | + | 0.220447i | \(0.929248\pi\) | |||||||
\(32\) | −5.38211 | − | 1.74153i | −0.951431 | − | 0.307863i | ||||
\(33\) | −1.85021 | + | 0.293044i | −0.322080 | + | 0.0510124i | ||||
\(34\) | 2.80623 | − | 4.74770i | 0.481264 | − | 0.814224i | ||||
\(35\) | −0.309343 | − | 1.44335i | −0.0522884 | − | 0.243971i | ||||
\(36\) | −0.249703 | + | 1.98435i | −0.0416172 | + | 0.330725i | ||||
\(37\) | 0.232407 | − | 0.118417i | 0.0382074 | − | 0.0194677i | −0.434782 | − | 0.900536i | \(-0.643175\pi\) |
0.472990 | + | 0.881068i | \(0.343175\pi\) | |||||||
\(38\) | 0.0540641 | + | 0.210354i | 0.00877036 | + | 0.0341239i | ||||
\(39\) | 0.159571 | + | 0.491110i | 0.0255519 | + | 0.0786406i | ||||
\(40\) | 3.00214 | + | 5.56661i | 0.474679 | + | 0.880159i | ||||
\(41\) | 3.02867 | − | 9.32128i | 0.472998 | − | 1.45574i | −0.375640 | − | 0.926766i | \(-0.622577\pi\) |
0.848639 | − | 0.528973i | \(-0.177423\pi\) | |||||||
\(42\) | 0.931759 | + | 0.0583943i | 0.143774 | + | 0.00901044i | ||||
\(43\) | 1.26309 | + | 1.26309i | 0.192619 | + | 0.192619i | 0.796827 | − | 0.604208i | \(-0.206510\pi\) |
−0.604208 | + | 0.796827i | \(0.706510\pi\) | |||||||
\(44\) | −1.80650 | − | 3.28224i | −0.272341 | − | 0.494817i | ||||
\(45\) | 1.73537 | − | 1.41014i | 0.258694 | − | 0.210211i | ||||
\(46\) | −7.45758 | + | 3.22933i | −1.09956 | + | 0.476139i | ||||
\(47\) | 1.19271 | − | 7.53046i | 0.173974 | − | 1.09843i | −0.733921 | − | 0.679235i | \(-0.762312\pi\) |
0.907896 | − | 0.419196i | \(-0.137688\pi\) | |||||||
\(48\) | −3.90282 | + | 0.876362i | −0.563323 | + | 0.126492i | ||||
\(49\) | 6.56421i | 0.937744i | ||||||||
\(50\) | 1.87688 | − | 6.81743i | 0.265431 | − | 0.964130i | ||||
\(51\) | − | 3.89972i | − | 0.546070i | ||||||
\(52\) | −0.815740 | + | 0.633387i | −0.113123 | + | 0.0878350i | ||||
\(53\) | −0.540190 | + | 3.41063i | −0.0742008 | + | 0.468485i | 0.922409 | + | 0.386214i | \(0.126217\pi\) |
−0.996610 | + | 0.0822713i | \(0.973783\pi\) | |||||||
\(54\) | 0.561967 | + | 1.29776i | 0.0764740 | + | 0.176603i | ||||
\(55\) | −1.07730 | + | 4.04786i | −0.145263 | + | 0.545813i | ||||
\(56\) | 0.522230 | + | 1.79266i | 0.0697859 | + | 0.239554i | ||||
\(57\) | 0.108595 | + | 0.108595i | 0.0143838 | + | 0.0143838i | ||||
\(58\) | 0.330805 | − | 5.27844i | 0.0434368 | − | 0.693093i | ||||
\(59\) | 4.23246 | − | 13.0262i | 0.551019 | − | 1.69586i | −0.155211 | − | 0.987881i | \(-0.549606\pi\) |
0.706231 | − | 0.707982i | \(-0.250394\pi\) | |||||||
\(60\) | 3.83033 | + | 2.30837i | 0.494494 | + | 0.298009i | ||||
\(61\) | −0.806430 | − | 2.48194i | −0.103253 | − | 0.317779i | 0.886064 | − | 0.463564i | \(-0.153429\pi\) |
−0.989316 | + | 0.145784i | \(0.953429\pi\) | |||||||
\(62\) | −11.4647 | + | 2.94660i | −1.45602 | + | 0.374219i | ||||
\(63\) | 0.588194 | − | 0.299700i | 0.0741055 | − | 0.0377586i | ||||
\(64\) | −4.29644 | − | 6.74837i | −0.537056 | − | 0.843547i | ||||
\(65\) | 1.14855 | + | 0.118757i | 0.142460 | + | 0.0147299i | ||||
\(66\) | −2.28061 | − | 1.34800i | −0.280724 | − | 0.165927i | ||||
\(67\) | −0.495584 | + | 0.0784927i | −0.0605452 | + | 0.00958941i | −0.186634 | − | 0.982430i | \(-0.559758\pi\) |
0.126088 | + | 0.992019i | \(0.459758\pi\) | |||||||
\(68\) | 7.33706 | − | 2.64553i | 0.889749 | − | 0.320817i | ||||
\(69\) | −3.37769 | + | 4.64900i | −0.406627 | + | 0.559674i | ||||
\(70\) | 0.963585 | − | 1.85187i | 0.115170 | − | 0.221341i | ||||
\(71\) | −3.34472 | − | 4.60362i | −0.396946 | − | 0.546349i | 0.563029 | − | 0.826437i | \(-0.309636\pi\) |
−0.959974 | + | 0.280089i | \(0.909636\pi\) | |||||||
\(72\) | −2.06042 | + | 1.93769i | −0.242823 | + | 0.228359i | ||||
\(73\) | 14.3303 | + | 7.30166i | 1.67724 | + | 0.854594i | 0.991995 | + | 0.126278i | \(0.0403033\pi\) |
0.685241 | + | 0.728316i | \(0.259697\pi\) | |||||||
\(74\) | 0.360014 | + | 0.0803809i | 0.0418507 | + | 0.00934409i | ||||
\(75\) | −1.31040 | − | 4.82523i | −0.151312 | − | 0.557170i | ||||
\(76\) | −0.130645 | + | 0.277984i | −0.0149860 | + | 0.0318870i | ||||
\(77\) | −0.561419 | + | 1.10185i | −0.0639796 | + | 0.125567i | ||||
\(78\) | −0.268668 | + | 0.679060i | −0.0304207 | + | 0.0768884i | ||||
\(79\) | −4.18276 | + | 3.03896i | −0.470598 | + | 0.341909i | −0.797674 | − | 0.603089i | \(-0.793937\pi\) |
0.327076 | + | 0.944998i | \(0.393937\pi\) | |||||||
\(80\) | −1.74458 | + | 8.77248i | −0.195050 | + | 0.980793i | ||||
\(81\) | 0.809017 | + | 0.587785i | 0.0898908 | + | 0.0653095i | ||||
\(82\) | 11.7011 | − | 7.42975i | 1.29218 | − | 0.820479i | ||||
\(83\) | 1.77842 | + | 11.2285i | 0.195207 | + | 1.23249i | 0.869465 | + | 0.493994i | \(0.164464\pi\) |
−0.674258 | + | 0.738496i | \(0.735536\pi\) | |||||||
\(84\) | 0.962890 | + | 0.903334i | 0.105060 | + | 0.0985619i | ||||
\(85\) | −7.97213 | − | 3.53330i | −0.864699 | − | 0.383240i | ||||
\(86\) | 0.238345 | + | 2.51491i | 0.0257014 | + | 0.271190i | ||||
\(87\) | −1.69781 | − | 3.33213i | −0.182024 | − | 0.357242i | ||||
\(88\) | 0.989033 | − | 5.20528i | 0.105431 | − | 0.554885i | ||||
\(89\) | −17.1308 | + | 5.56614i | −1.81586 | + | 0.590010i | −0.815934 | + | 0.578145i | \(0.803777\pi\) |
−0.999930 | + | 0.0118654i | \(0.996223\pi\) | |||||||
\(90\) | 3.16216 | + | 0.0270075i | 0.333321 | + | 0.00284684i | ||||
\(91\) | 0.324204 | + | 0.105340i | 0.0339859 | + | 0.0110427i | ||||
\(92\) | −11.0382 | − | 3.20108i | −1.15081 | − | 0.333735i | ||||
\(93\) | −5.91866 | + | 5.91866i | −0.613736 | + | 0.613736i | ||||
\(94\) | 8.08629 | − | 7.13251i | 0.834037 | − | 0.735663i | ||||
\(95\) | 0.320391 | − | 0.123608i | 0.0328714 | − | 0.0126819i | ||||
\(96\) | −5.04341 | − | 2.56204i | −0.514741 | − | 0.261487i | ||||
\(97\) | 13.4335 | + | 2.12767i | 1.36397 | + | 0.216032i | 0.795141 | − | 0.606424i | \(-0.207397\pi\) |
0.568829 | + | 0.822456i | \(0.307397\pi\) | |||||||
\(98\) | −5.91559 | + | 7.15426i | −0.597565 | + | 0.722689i | ||||
\(99\) | −1.87327 | −0.188271 | ||||||||
\(100\) | 8.18939 | − | 5.73881i | 0.818939 | − | 0.573881i | ||||
\(101\) | 8.89432 | 0.885018 | 0.442509 | − | 0.896764i | \(-0.354088\pi\) | ||||
0.442509 | + | 0.896764i | \(0.354088\pi\) | |||||||
\(102\) | 3.51438 | − | 4.25026i | 0.347976 | − | 0.420838i | ||||
\(103\) | −0.918328 | − | 0.145449i | −0.0904855 | − | 0.0143315i | 0.111027 | − | 0.993817i | \(-0.464586\pi\) |
−0.201513 | + | 0.979486i | \(0.564586\pi\) | |||||||
\(104\) | −1.45987 | − | 0.0448143i | −0.143152 | − | 0.00439441i | ||||
\(105\) | −0.0797439 | − | 1.47398i | −0.00778221 | − | 0.143845i | ||||
\(106\) | −3.66237 | + | 3.23039i | −0.355720 | + | 0.313763i | ||||
\(107\) | 13.1698 | − | 13.1698i | 1.27317 | − | 1.27317i | 0.328751 | − | 0.944417i | \(-0.393372\pi\) |
0.944417 | − | 0.328751i | \(-0.106628\pi\) | |||||||
\(108\) | −0.557050 | + | 1.92086i | −0.0536022 | + | 0.184835i | ||||
\(109\) | −9.23857 | − | 3.00179i | −0.884895 | − | 0.287520i | −0.168907 | − | 0.985632i | \(-0.554024\pi\) |
−0.715988 | + | 0.698112i | \(0.754024\pi\) | |||||||
\(110\) | −4.82202 | + | 3.44087i | −0.459761 | + | 0.328074i | ||||
\(111\) | 0.248070 | − | 0.0806028i | 0.0235457 | − | 0.00765048i | ||||
\(112\) | −1.04635 | + | 2.42442i | −0.0988707 | + | 0.229087i | ||||
\(113\) | 4.23938 | + | 8.32026i | 0.398808 | + | 0.782704i | 0.999864 | − | 0.0165027i | \(-0.00525322\pi\) |
−0.601056 | + | 0.799207i | \(0.705253\pi\) | |||||||
\(114\) | 0.0204919 | + | 0.216222i | 0.00191924 | + | 0.0202510i | ||||
\(115\) | 6.44354 | + | 11.1171i | 0.600863 | + | 1.03668i | ||||
\(116\) | 5.11741 | − | 5.45479i | 0.475140 | − | 0.506465i | ||||
\(117\) | 0.0807803 | + | 0.510027i | 0.00746814 | + | 0.0471520i | ||||
\(118\) | 16.3520 | − | 10.3828i | 1.50532 | − | 0.955817i | ||||
\(119\) | −2.08272 | − | 1.51318i | −0.190923 | − | 0.138713i | ||||
\(120\) | 2.09436 | + | 5.96772i | 0.191188 | + | 0.544775i | ||||
\(121\) | −6.06023 | + | 4.40302i | −0.550930 | + | 0.400274i | ||||
\(122\) | 1.35778 | − | 3.43178i | 0.122927 | − | 0.310699i | ||||
\(123\) | 4.44955 | − | 8.73273i | 0.401202 | − | 0.787404i | ||||
\(124\) | −15.1507 | − | 7.12040i | −1.36057 | − | 0.639431i | ||||
\(125\) | −11.0514 | − | 1.69303i | −0.988468 | − | 0.151429i | ||||
\(126\) | 0.911153 | + | 0.203435i | 0.0811719 | + | 0.0181234i | ||||
\(127\) | −1.83675 | − | 0.935873i | −0.162986 | − | 0.0830453i | 0.370595 | − | 0.928795i | \(-0.379154\pi\) |
−0.533580 | + | 0.845749i | \(0.679154\pi\) | |||||||
\(128\) | 1.39891 | − | 11.2269i | 0.123648 | − | 0.992326i | ||||
\(129\) | 1.04995 | + | 1.44513i | 0.0924428 | + | 0.127237i | ||||
\(130\) | 1.14477 | + | 1.16449i | 0.100403 | + | 0.102132i | ||||
\(131\) | −5.23162 | + | 7.20070i | −0.457088 | + | 0.629128i | −0.973902 | − | 0.226970i | \(-0.927118\pi\) |
0.516813 | + | 0.856098i | \(0.327118\pi\) | |||||||
\(132\) | −1.27081 | − | 3.52443i | −0.110609 | − | 0.306762i | ||||
\(133\) | 0.100135 | − | 0.0158598i | 0.00868280 | − | 0.00137522i | ||||
\(134\) | −0.610868 | − | 0.361066i | −0.0527709 | − | 0.0311914i | ||||
\(135\) | 1.93460 | − | 1.12130i | 0.166504 | − | 0.0965064i | ||||
\(136\) | 10.3807 | + | 3.72875i | 0.890137 | + | 0.319737i | ||||
\(137\) | −3.17579 | + | 1.61814i | −0.271326 | + | 0.138247i | −0.584360 | − | 0.811494i | \(-0.698654\pi\) |
0.313034 | + | 0.949742i | \(0.398654\pi\) | |||||||
\(138\) | −7.87094 | + | 2.02295i | −0.670019 | + | 0.172205i | ||||
\(139\) | 4.51261 | + | 13.8884i | 0.382755 | + | 1.17800i | 0.938096 | + | 0.346376i | \(0.112588\pi\) |
−0.555341 | + | 0.831623i | \(0.687412\pi\) | |||||||
\(140\) | 2.71909 | − | 1.14996i | 0.229805 | − | 0.0971895i | ||||
\(141\) | 2.35605 | − | 7.25117i | 0.198415 | − | 0.610659i | ||||
\(142\) | 0.503352 | − | 8.03166i | 0.0422404 | − | 0.674002i | ||||
\(143\) | −0.684004 | − | 0.684004i | −0.0571992 | − | 0.0571992i | ||||
\(144\) | −3.99186 | + | 0.255037i | −0.332655 | + | 0.0212531i | ||||
\(145\) | −8.35010 | + | 0.451751i | −0.693438 | + | 0.0375159i | ||||
\(146\) | 9.03827 | + | 20.8723i | 0.748013 | + | 1.72741i | ||||
\(147\) | −1.02687 | + | 6.48339i | −0.0846947 | + | 0.534741i | ||||
\(148\) | 0.319937 | + | 0.412047i | 0.0262986 | + | 0.0338700i | ||||
\(149\) | 16.6477i | 1.36383i | 0.731431 | + | 0.681916i | \(0.238853\pi\) | ||||
−0.731431 | + | 0.681916i | \(0.761147\pi\) | |||||||
\(150\) | 2.92026 | − | 6.43988i | 0.238438 | − | 0.525814i | ||||
\(151\) | 3.92894i | 0.319733i | 0.987139 | + | 0.159866i | \(0.0511063\pi\) | ||||
−0.987139 | + | 0.159866i | \(0.948894\pi\) | |||||||
\(152\) | −0.392905 | + | 0.185237i | −0.0318688 | + | 0.0150247i | ||||
\(153\) | 0.610050 | − | 3.85171i | 0.0493196 | − | 0.311392i | ||||
\(154\) | −1.60486 | + | 0.694946i | −0.129323 | + | 0.0560003i | ||||
\(155\) | 6.73687 | + | 17.4620i | 0.541119 | + | 1.40258i | ||||
\(156\) | −0.904780 | + | 0.497979i | −0.0724404 | + | 0.0398702i | ||||
\(157\) | 15.5356 | + | 15.5356i | 1.23987 | + | 1.23987i | 0.960052 | + | 0.279822i | \(0.0902755\pi\) |
0.279822 | + | 0.960052i | \(0.409724\pi\) | |||||||
\(158\) | −7.29742 | − | 0.457337i | −0.580552 | − | 0.0363838i | ||||
\(159\) | −1.06708 | + | 3.28413i | −0.0846248 | + | 0.260448i | ||||
\(160\) | −9.80706 | + | 7.98884i | −0.775316 | + | 0.631573i | ||||
\(161\) | 1.17226 | + | 3.60784i | 0.0923870 | + | 0.284338i | ||||
\(162\) | 0.352033 | + | 1.36970i | 0.0276583 | + | 0.107614i | ||||
\(163\) | 1.83685 | − | 0.935924i | 0.143874 | − | 0.0733072i | −0.380572 | − | 0.924751i | \(-0.624273\pi\) |
0.524445 | + | 0.851444i | \(0.324273\pi\) | |||||||
\(164\) | 19.4486 | + | 2.44734i | 1.51868 | + | 0.191105i | ||||
\(165\) | −1.69726 | + | 3.82949i | −0.132131 | + | 0.298126i | ||||
\(166\) | −8.18074 | + | 13.8405i | −0.634948 | + | 1.07423i | ||||
\(167\) | −11.1843 | + | 1.77142i | −0.865468 | + | 0.137077i | −0.573355 | − | 0.819307i | \(-0.694358\pi\) |
−0.292113 | + | 0.956384i | \(0.594358\pi\) | |||||||
\(168\) | 0.235368 | + | 1.85228i | 0.0181590 | + | 0.142906i | ||||
\(169\) | 7.48447 | − | 10.3015i | 0.575729 | − | 0.792423i | ||||
\(170\) | −5.50456 | − | 11.0353i | −0.422181 | − | 0.846369i | ||||
\(171\) | 0.0902702 | + | 0.124246i | 0.00690314 | + | 0.00950135i | ||||
\(172\) | −2.00664 | + | 2.95577i | −0.153005 | + | 0.225375i | ||||
\(173\) | 11.4844 | + | 5.85160i | 0.873144 | + | 0.444889i | 0.832332 | − | 0.554278i | \(-0.187005\pi\) |
0.0408123 | + | 0.999167i | \(0.487005\pi\) | |||||||
\(174\) | 1.15246 | − | 5.16170i | 0.0873679 | − | 0.391308i | ||||
\(175\) | −3.08547 | − | 1.17246i | −0.233240 | − | 0.0886297i | ||||
\(176\) | 5.76888 | − | 4.78187i | 0.434846 | − | 0.360447i | ||||
\(177\) | 6.21809 | − | 12.2037i | 0.467381 | − | 0.917286i | ||||
\(178\) | −23.6868 | − | 9.37164i | −1.77540 | − | 0.702434i | ||||
\(179\) | 5.65626 | − | 4.10951i | 0.422769 | − | 0.307160i | −0.355982 | − | 0.934493i | \(-0.615854\pi\) |
0.778751 | + | 0.627333i | \(0.215854\pi\) | |||||||
\(180\) | 3.42207 | + | 2.87914i | 0.255066 | + | 0.214599i | ||||
\(181\) | 1.50517 | + | 1.09357i | 0.111878 | + | 0.0812843i | 0.642318 | − | 0.766439i | \(-0.277973\pi\) |
−0.530439 | + | 0.847723i | \(0.677973\pi\) | |||||||
\(182\) | 0.258415 | + | 0.406979i | 0.0191550 | + | 0.0301673i | ||||
\(183\) | −0.408241 | − | 2.57753i | −0.0301781 | − | 0.190537i | ||||
\(184\) | −9.14560 | − | 13.4363i | −0.674223 | − | 0.990537i | ||||
\(185\) | 0.0599863 | − | 0.580154i | 0.00441028 | − | 0.0426538i | ||||
\(186\) | −11.7845 | + | 1.11685i | −0.864083 | + | 0.0818914i | ||||
\(187\) | 3.31650 | + | 6.50900i | 0.242527 | + | 0.475986i | ||||
\(188\) | 15.2409 | − | 0.486369i | 1.11156 | − | 0.0354721i | ||||
\(189\) | 0.627836 | − | 0.203996i | 0.0456683 | − | 0.0148385i | ||||
\(190\) | 0.460585 | + | 0.154014i | 0.0334143 | + | 0.0111734i | ||||
\(191\) | −3.81762 | − | 1.24042i | −0.276233 | − | 0.0897536i | 0.167624 | − | 0.985851i | \(-0.446390\pi\) |
−0.443858 | + | 0.896097i | \(0.646390\pi\) | |||||||
\(192\) | −3.18787 | − | 7.33740i | −0.230065 | − | 0.529531i | ||||
\(193\) | −7.39886 | + | 7.39886i | −0.532582 | + | 0.532582i | −0.921340 | − | 0.388758i | \(-0.872904\pi\) |
0.388758 | + | 0.921340i | \(0.372904\pi\) | |||||||
\(194\) | 12.7236 | + | 14.4251i | 0.913505 | + | 1.03566i | ||||
\(195\) | 1.11583 | + | 0.296967i | 0.0799061 | + | 0.0212662i | ||||
\(196\) | −12.8947 | + | 2.46628i | −0.921049 | + | 0.176163i | ||||
\(197\) | 19.1368 | + | 3.03096i | 1.36344 | + | 0.215947i | 0.794915 | − | 0.606721i | \(-0.207515\pi\) |
0.568522 | + | 0.822668i | \(0.307515\pi\) | |||||||
\(198\) | −2.04166 | − | 1.68817i | −0.145094 | − | 0.119973i | ||||
\(199\) | −26.2562 | −1.86126 | −0.930628 | − | 0.365968i | \(-0.880738\pi\) | ||||
−0.930628 | + | 0.365968i | \(0.880738\pi\) | |||||||
\(200\) | 14.0973 | + | 1.12552i | 0.996828 | + | 0.0795861i | ||||
\(201\) | −0.501761 | −0.0353915 | ||||||||
\(202\) | 9.69383 | + | 8.01547i | 0.682055 | + | 0.563966i | ||||
\(203\) | −2.43838 | − | 0.386201i | −0.171141 | − | 0.0271060i | ||||
\(204\) | 7.66058 | − | 1.46519i | 0.536348 | − | 0.102584i | ||||
\(205\) | −13.8207 | − | 17.0083i | −0.965279 | − | 1.18791i | ||||
\(206\) | −0.869798 | − | 0.986110i | −0.0606017 | − | 0.0687056i | ||||
\(207\) | −4.06337 | + | 4.06337i | −0.282424 | + | 0.282424i | ||||
\(208\) | −1.55071 | − | 1.36446i | −0.107522 | − | 0.0946082i | ||||
\(209\) | −0.273610 | − | 0.0889014i | −0.0189260 | − | 0.00614944i | ||||
\(210\) | 1.24142 | − | 1.67833i | 0.0856660 | − | 0.115816i | ||||
\(211\) | 20.9571 | − | 6.80937i | 1.44274 | − | 0.468776i | 0.519993 | − | 0.854171i | \(-0.325935\pi\) |
0.922752 | + | 0.385394i | \(0.125935\pi\) | |||||||
\(212\) | −6.90276 | + | 0.220282i | −0.474084 | + | 0.0151290i | ||||
\(213\) | −2.58338 | − | 5.07017i | −0.177010 | − | 0.347402i | ||||
\(214\) | 26.2220 | − | 2.48513i | 1.79250 | − | 0.169880i | ||||
\(215\) | 3.90555 | − | 0.837046i | 0.266356 | − | 0.0570861i | ||||
\(216\) | −2.33818 | + | 1.59151i | −0.159093 | + | 0.108289i | ||||
\(217\) | 0.864392 | + | 5.45755i | 0.0586787 | + | 0.370483i | ||||
\(218\) | −7.36384 | − | 11.5973i | −0.498742 | − | 0.785470i | ||||
\(219\) | 13.0117 | + | 9.45352i | 0.879246 | + | 0.638810i | ||||
\(220\) | −8.35634 | − | 0.595389i | −0.563384 | − | 0.0401411i | ||||
\(221\) | 1.62916 | − | 1.18365i | 0.109589 | − | 0.0796212i | ||||
\(222\) | 0.343007 | + | 0.135710i | 0.0230211 | + | 0.00910824i | ||||
\(223\) | 9.67185 | − | 18.9821i | 0.647675 | − | 1.27113i | −0.300620 | − | 0.953744i | \(-0.597194\pi\) |
0.948295 | − | 0.317390i | \(-0.102806\pi\) | |||||||
\(224\) | −3.32527 | + | 1.69939i | −0.222179 | + | 0.113546i | ||||
\(225\) | −0.539434 | − | 4.97082i | −0.0359622 | − | 0.331388i | ||||
\(226\) | −2.87767 | + | 12.8886i | −0.191420 | + | 0.857340i | ||||
\(227\) | 18.6257 | + | 9.49027i | 1.23623 | + | 0.629891i | 0.945097 | − | 0.326791i | \(-0.105967\pi\) |
0.291134 | + | 0.956682i | \(0.405967\pi\) | |||||||
\(228\) | −0.172523 | + | 0.254125i | −0.0114256 | + | 0.0168298i | ||||
\(229\) | −10.5496 | − | 14.5203i | −0.697140 | − | 0.959531i | −0.999979 | − | 0.00648916i | \(-0.997934\pi\) |
0.302839 | − | 0.953042i | \(-0.402066\pi\) | |||||||
\(230\) | −2.99590 | + | 17.9233i | −0.197544 | + | 1.18183i | ||||
\(231\) | −0.726874 | + | 1.00046i | −0.0478248 | + | 0.0658252i | ||||
\(232\) | 10.4932 | − | 1.33336i | 0.688913 | − | 0.0875395i | ||||
\(233\) | −6.11304 | + | 0.968210i | −0.400478 | + | 0.0634295i | −0.353425 | − | 0.935463i | \(-0.614983\pi\) |
−0.0470533 | + | 0.998892i | \(0.514983\pi\) | |||||||
\(234\) | −0.371589 | + | 0.628671i | −0.0242915 | + | 0.0410975i | ||||
\(235\) | −12.6888 | − | 11.3863i | −0.827724 | − | 0.742759i | ||||
\(236\) | 27.1787 | + | 3.42007i | 1.76918 | + | 0.222628i | ||||
\(237\) | −4.60666 | + | 2.34721i | −0.299235 | + | 0.152468i | ||||
\(238\) | −0.906268 | − | 3.52613i | −0.0587446 | − | 0.228565i | ||||
\(239\) | 1.34493 | + | 4.13926i | 0.0869961 | + | 0.267746i | 0.985085 | − | 0.172067i | \(-0.0550446\pi\) |
−0.898089 | + | 0.439813i | \(0.855045\pi\) | |||||||
\(240\) | −3.09542 | + | 8.39157i | −0.199808 | + | 0.541673i | ||||
\(241\) | −0.568954 | + | 1.75106i | −0.0366496 | + | 0.112796i | −0.967708 | − | 0.252075i | \(-0.918887\pi\) |
0.931058 | + | 0.364871i | \(0.118887\pi\) | |||||||
\(242\) | −10.5729 | − | 0.662616i | −0.679654 | − | 0.0425946i | ||||
\(243\) | 0.707107 | + | 0.707107i | 0.0453609 | + | 0.0453609i | ||||
\(244\) | 4.57251 | − | 2.51665i | 0.292725 | − | 0.161112i | ||||
\(245\) | 12.3235 | + | 7.97342i | 0.787320 | + | 0.509403i | ||||
\(246\) | 12.7194 | − | 5.50782i | 0.810956 | − | 0.351166i | ||||
\(247\) | −0.0124060 | + | 0.0783283i | −0.000789374 | + | 0.00498391i | ||||
\(248\) | −10.0958 | − | 21.4141i | −0.641082 | − | 1.35980i | ||||
\(249\) | 11.3685i | 0.720449i | ||||||||
\(250\) | −10.5191 | − | 11.8046i | −0.665285 | − | 0.746590i | ||||
\(251\) | − | 28.1716i | − | 1.77817i | −0.457737 | − | 0.889087i | \(-0.651340\pi\) | ||
0.457737 | − | 0.889087i | \(-0.348660\pi\) | |||||||
\(252\) | 0.809722 | + | 1.04284i | 0.0510077 | + | 0.0656929i | ||||
\(253\) | 1.68397 | − | 10.6322i | 0.105870 | − | 0.668439i | ||||
\(254\) | −1.15846 | − | 2.67526i | −0.0726882 | − | 0.167861i | ||||
\(255\) | −7.32125 | − | 4.73691i | −0.458474 | − | 0.296637i | ||||
\(256\) | 11.6422 | − | 10.9754i | 0.727638 | − | 0.685961i | ||||
\(257\) | −7.52224 | − | 7.52224i | −0.469224 | − | 0.469224i | 0.432439 | − | 0.901663i | \(-0.357653\pi\) |
−0.901663 | + | 0.432439i | \(0.857653\pi\) | |||||||
\(258\) | −0.158008 | + | 2.52123i | −0.00983717 | + | 0.156965i | ||||
\(259\) | 0.0532096 | − | 0.163762i | 0.00330628 | − | 0.0101757i | ||||
\(260\) | 0.198243 | + | 2.30082i | 0.0122945 | + | 0.142691i | ||||
\(261\) | −1.15564 | − | 3.55671i | −0.0715325 | − | 0.220155i | ||||
\(262\) | −12.1911 | + | 3.13329i | −0.753167 | + | 0.193575i | ||||
\(263\) | −9.95605 | + | 5.07286i | −0.613916 | + | 0.312806i | −0.733157 | − | 0.680059i | \(-0.761954\pi\) |
0.119241 | + | 0.992865i | \(0.461954\pi\) | |||||||
\(264\) | 1.79114 | − | 4.98648i | 0.110237 | − | 0.306896i | ||||
\(265\) | 5.74688 | + | 5.15696i | 0.353028 | + | 0.316790i | ||||
\(266\) | 0.123429 | + | 0.0729551i | 0.00756789 | + | 0.00447316i | ||||
\(267\) | −17.7907 | + | 2.81776i | −1.08877 | + | 0.172444i | ||||
\(268\) | −0.340389 | − | 0.944030i | −0.0207926 | − | 0.0576658i | ||||
\(269\) | 6.02380 | − | 8.29105i | 0.367278 | − | 0.505514i | −0.584881 | − | 0.811119i | \(-0.698859\pi\) |
0.952158 | + | 0.305605i | \(0.0988587\pi\) | |||||||
\(270\) | 3.11901 | + | 0.521346i | 0.189817 | + | 0.0317281i | ||||
\(271\) | −1.40293 | − | 1.93096i | −0.0852217 | − | 0.117298i | 0.764278 | − | 0.644888i | \(-0.223096\pi\) |
−0.849499 | + | 0.527590i | \(0.823096\pi\) | |||||||
\(272\) | 7.95350 | + | 13.4189i | 0.482252 | + | 0.813640i | ||||
\(273\) | 0.303734 | + | 0.154760i | 0.0183828 | + | 0.00936652i | ||||
\(274\) | −4.91951 | − | 1.09839i | −0.297198 | − | 0.0663560i | ||||
\(275\) | 6.29079 | + | 6.93935i | 0.379349 | + | 0.418459i | ||||
\(276\) | −10.4015 | − | 4.88841i | −0.626097 | − | 0.294248i | ||||
\(277\) | 1.04875 | − | 2.05829i | 0.0630135 | − | 0.123671i | −0.857352 | − | 0.514731i | \(-0.827892\pi\) |
0.920365 | + | 0.391060i | \(0.127892\pi\) | |||||||
\(278\) | −7.59783 | + | 19.2035i | −0.455687 | + | 1.15175i | ||||
\(279\) | −6.77167 | + | 4.91991i | −0.405409 | + | 0.294547i | ||||
\(280\) | 3.99984 | + | 1.19708i | 0.239036 | + | 0.0715393i | ||||
\(281\) | −13.4390 | − | 9.76398i | −0.801701 | − | 0.582470i | 0.109711 | − | 0.993963i | \(-0.465007\pi\) |
−0.911413 | + | 0.411493i | \(0.865007\pi\) | |||||||
\(282\) | 9.10251 | − | 5.77973i | 0.542046 | − | 0.344178i | ||||
\(283\) | −3.69142 | − | 23.3067i | −0.219432 | − | 1.38544i | −0.813752 | − | 0.581212i | \(-0.802579\pi\) |
0.594320 | − | 0.804228i | \(-0.297421\pi\) | |||||||
\(284\) | 7.78664 | − | 8.30000i | 0.462052 | − | 0.492514i | ||||
\(285\) | 0.335783 | − | 0.0719657i | 0.0198901 | − | 0.00426288i | ||||
\(286\) | −0.129071 | − | 1.36190i | −0.00763215 | − | 0.0805311i | ||||
\(287\) | −2.93735 | − | 5.76487i | −0.173386 | − | 0.340290i | ||||
\(288\) | −4.58052 | − | 3.31946i | −0.269910 | − | 0.195601i | ||||
\(289\) | 1.70448 | − | 0.553819i | 0.100264 | − | 0.0325776i | ||||
\(290\) | −9.50780 | − | 7.03266i | −0.558317 | − | 0.412972i | ||||
\(291\) | 12.9353 | + | 4.20294i | 0.758282 | + | 0.246381i | ||||
\(292\) | −8.95919 | + | 30.8937i | −0.524297 | + | 1.80792i | ||||
\(293\) | −18.6714 | + | 18.6714i | −1.09080 | + | 1.09080i | −0.0953524 | + | 0.995444i | \(0.530398\pi\) |
−0.995444 | + | 0.0953524i | \(0.969602\pi\) | |||||||
\(294\) | −6.96193 | + | 6.14077i | −0.406028 | + | 0.358137i | ||||
\(295\) | −19.3140 | − | 23.7686i | −1.12450 | − | 1.38386i | ||||
\(296\) | −0.0226366 | + | 0.737408i | −0.00131573 | + | 0.0428610i | ||||
\(297\) | −1.85021 | − | 0.293044i | −0.107360 | − | 0.0170041i | ||||
\(298\) | −15.0027 | + | 18.1441i | −0.869084 | + | 1.05106i | ||||
\(299\) | −2.96739 | −0.171609 | ||||||||
\(300\) | 8.98631 | − | 4.38706i | 0.518825 | − | 0.253287i | ||||
\(301\) | 1.17920 | 0.0679682 | ||||||||
\(302\) | −3.54072 | + | 4.28211i | −0.203745 | + | 0.246408i | ||||
\(303\) | 8.78482 | + | 1.39138i | 0.504675 | + | 0.0799326i | ||||
\(304\) | −0.595156 | − | 0.152194i | −0.0341345 | − | 0.00872895i | ||||
\(305\) | −5.63909 | − | 1.50079i | −0.322893 | − | 0.0859349i | ||||
\(306\) | 4.13600 | − | 3.64816i | 0.236440 | − | 0.208552i | ||||
\(307\) | 0.833602 | − | 0.833602i | 0.0475762 | − | 0.0475762i | −0.682918 | − | 0.730495i | \(-0.739290\pi\) |
0.730495 | + | 0.682918i | \(0.239290\pi\) | |||||||
\(308\) | −2.37539 | − | 0.688865i | −0.135351 | − | 0.0392518i | ||||
\(309\) | −0.884268 | − | 0.287316i | −0.0503043 | − | 0.0163449i | ||||
\(310\) | −8.39408 | + | 25.1028i | −0.476752 | + | 1.42574i | ||||
\(311\) | −21.7855 | + | 7.07853i | −1.23534 | + | 0.401387i | −0.852647 | − | 0.522488i | \(-0.825004\pi\) |
−0.382695 | + | 0.923875i | \(0.625004\pi\) | |||||||
\(312\) | −1.43488 | − | 0.272636i | −0.0812343 | − | 0.0154350i | ||||
\(313\) | −7.42212 | − | 14.5667i | −0.419523 | − | 0.823360i | −0.999959 | − | 0.00905407i | \(-0.997118\pi\) |
0.580436 | − | 0.814306i | \(-0.302882\pi\) | |||||||
\(314\) | 2.93156 | + | 30.9325i | 0.165438 | + | 1.74562i | ||||
\(315\) | 0.151818 | − | 1.46830i | 0.00855400 | − | 0.0827295i | ||||
\(316\) | −7.54123 | − | 7.07480i | −0.424228 | − | 0.397989i | ||||
\(317\) | −2.08040 | − | 13.1351i | −0.116847 | − | 0.737742i | −0.974645 | − | 0.223756i | \(-0.928168\pi\) |
0.857798 | − | 0.513986i | \(-0.171832\pi\) | |||||||
\(318\) | −4.12262 | + | 2.61770i | −0.231185 | + | 0.146793i | ||||
\(319\) | 5.66761 | + | 4.11776i | 0.317325 | + | 0.230550i | ||||
\(320\) | −17.8881 | − | 0.131072i | −0.999973 | − | 0.00732716i | ||||
\(321\) | 15.0678 | − | 10.9474i | 0.841003 | − | 0.611025i | ||||
\(322\) | −1.97372 | + | 4.98858i | −0.109991 | + | 0.278003i | ||||
\(323\) | 0.271898 | − | 0.533630i | 0.0151288 | − | 0.0296919i | ||||
\(324\) | −0.850680 | + | 1.81007i | −0.0472600 | + | 0.100559i | ||||
\(325\) | 1.61807 | − | 2.01201i | 0.0897543 | − | 0.111606i | ||||
\(326\) | 2.84541 | + | 0.635300i | 0.157593 | + | 0.0351860i | ||||
\(327\) | −8.65525 | − | 4.41007i | −0.478636 | − | 0.243877i | ||||
\(328\) | 18.9913 | + | 20.1942i | 1.04862 | + | 1.11504i | ||||
\(329\) | −2.95842 | − | 4.07192i | −0.163103 | − | 0.224492i | ||||
\(330\) | −5.30092 | + | 2.64417i | −0.291806 | + | 0.145557i | ||||
\(331\) | 10.6400 | − | 14.6447i | 0.584826 | − | 0.804944i | −0.409388 | − | 0.912360i | \(-0.634258\pi\) |
0.994214 | + | 0.107417i | \(0.0342578\pi\) | |||||||
\(332\) | −21.3890 | + | 7.71226i | −1.17388 | + | 0.423265i | ||||
\(333\) | 0.257625 | − | 0.0408038i | 0.0141177 | − | 0.00223603i | ||||
\(334\) | −13.7860 | − | 8.14852i | −0.754338 | − | 0.445867i | ||||
\(335\) | −0.454616 | + | 1.02574i | −0.0248383 | + | 0.0560422i | ||||
\(336\) | −1.41273 | + | 2.23089i | −0.0770707 | + | 0.121705i | ||||
\(337\) | −9.56642 | + | 4.87434i | −0.521116 | + | 0.265522i | −0.694703 | − | 0.719297i | \(-0.744464\pi\) |
0.173587 | + | 0.984819i | \(0.444464\pi\) | |||||||
\(338\) | 17.4408 | − | 4.48256i | 0.948657 | − | 0.243819i | ||||
\(339\) | 2.88561 | + | 8.88101i | 0.156725 | + | 0.482350i | ||||
\(340\) | 3.94553 | − | 16.9879i | 0.213977 | − | 0.921298i | ||||
\(341\) | 4.84531 | − | 14.9123i | 0.262388 | − | 0.807547i | ||||
\(342\) | −0.0135849 | + | 0.216765i | −0.000734587 | + | 0.0117213i | ||||
\(343\) | 6.33168 | + | 6.33168i | 0.341879 | + | 0.341879i | ||||
\(344\) | −4.85072 | + | 1.41310i | −0.261533 | + | 0.0761890i | ||||
\(345\) | 4.62511 | + | 11.9883i | 0.249007 | + | 0.645426i | ||||
\(346\) | 7.24334 | + | 16.7272i | 0.389404 | + | 0.899261i | ||||
\(347\) | −3.88238 | + | 24.5124i | −0.208417 | + | 1.31589i | 0.632428 | + | 0.774619i | \(0.282058\pi\) |
−0.840845 | + | 0.541275i | \(0.817942\pi\) | |||||||
\(348\) | 5.90772 | − | 4.58710i | 0.316687 | − | 0.245894i | ||||
\(349\) | − | 4.03089i | − | 0.215768i | −0.994163 | − | 0.107884i | \(-0.965592\pi\) | ||
0.994163 | − | 0.107884i | \(-0.0344076\pi\) | |||||||
\(350\) | −2.30621 | − | 4.05845i | −0.123272 | − | 0.216933i | ||||
\(351\) | 0.516384i | 0.0275625i | ||||||||
\(352\) | 10.5968 | − | 0.0128580i | 0.564812 | − | 0.000685334i | ||||
\(353\) | 3.68545 | − | 23.2690i | 0.196157 | − | 1.23848i | −0.671381 | − | 0.741112i | \(-0.734299\pi\) |
0.867538 | − | 0.497372i | \(-0.165701\pi\) | |||||||
\(354\) | 17.7749 | − | 7.69699i | 0.944724 | − | 0.409091i | ||||
\(355\) | −12.7055 | + | 0.687383i | −0.674338 | + | 0.0364825i | ||||
\(356\) | −17.3704 | − | 31.5604i | −0.920630 | − | 1.67270i | ||||
\(357\) | −1.82036 | − | 1.82036i | −0.0963438 | − | 0.0963438i | ||||
\(358\) | 9.86815 | + | 0.618447i | 0.521548 | + | 0.0326859i | ||||
\(359\) | 9.50212 | − | 29.2445i | 0.501503 | − | 1.54347i | −0.305069 | − | 0.952330i | \(-0.598679\pi\) |
0.806571 | − | 0.591137i | \(-0.201321\pi\) | |||||||
\(360\) | 1.13502 | + | 6.22187i | 0.0598209 | + | 0.327922i | ||||
\(361\) | −5.86403 | − | 18.0476i | −0.308633 | − | 0.949876i | ||||
\(362\) | 0.654954 | + | 2.54831i | 0.0344236 | + | 0.133936i | ||||
\(363\) | −6.67440 | + | 3.40078i | −0.350315 | + | 0.178495i | ||||
\(364\) | −0.0851211 | + | 0.676443i | −0.00446156 | + | 0.0354552i | ||||
\(365\) | 31.1147 | − | 18.0342i | 1.62862 | − | 0.943955i | ||||
\(366\) | 1.87791 | − | 3.17713i | 0.0981598 | − | 0.166071i | ||||
\(367\) | −16.4328 | + | 2.60269i | −0.857783 | + | 0.135859i | −0.569807 | − | 0.821778i | \(-0.692982\pi\) |
−0.287976 | + | 0.957638i | \(0.592982\pi\) | |||||||
\(368\) | 2.14095 | − | 22.8860i | 0.111605 | − | 1.19301i | ||||
\(369\) | 5.76087 | − | 7.92915i | 0.299899 | − | 0.412775i | ||||
\(370\) | 0.588207 | − | 0.578245i | 0.0305794 | − | 0.0300615i | ||||
\(371\) | 1.33990 | + | 1.84421i | 0.0695642 | + | 0.0957469i | ||||
\(372\) | −13.8503 | − | 9.40283i | −0.718105 | − | 0.487514i | ||||
\(373\) | 11.9791 | + | 6.10365i | 0.620254 | + | 0.316035i | 0.735730 | − | 0.677275i | \(-0.236839\pi\) |
−0.115476 | + | 0.993310i | \(0.536839\pi\) | |||||||
\(374\) | −2.25122 | + | 10.0829i | −0.116408 | + | 0.521374i | ||||
\(375\) | −10.6505 | − | 3.40100i | −0.549990 | − | 0.175627i | ||||
\(376\) | 17.0492 | + | 13.2049i | 0.879246 | + | 0.680988i | ||||
\(377\) | 0.876721 | − | 1.72066i | 0.0451534 | − | 0.0886185i | ||||
\(378\) | 0.868111 | + | 0.343466i | 0.0446508 | + | 0.0176660i | ||||
\(379\) | 20.6167 | − | 14.9789i | 1.05901 | − | 0.769415i | 0.0851045 | − | 0.996372i | \(-0.472878\pi\) |
0.973905 | + | 0.226957i | \(0.0728776\pi\) | |||||||
\(380\) | 0.363190 | + | 0.582932i | 0.0186313 | + | 0.0299038i | ||||
\(381\) | −1.66774 | − | 1.21168i | −0.0854408 | − | 0.0620764i | ||||
\(382\) | −3.04293 | − | 4.79232i | −0.155690 | − | 0.245196i | ||||
\(383\) | 3.55759 | + | 22.4617i | 0.181784 | + | 1.14774i | 0.894759 | + | 0.446550i | \(0.147348\pi\) |
−0.712975 | + | 0.701190i | \(0.752652\pi\) | |||||||
\(384\) | 3.13796 | − | 10.8698i | 0.160134 | − | 0.554699i | ||||
\(385\) | 1.38664 | + | 2.39239i | 0.0706696 | + | 0.121927i | ||||
\(386\) | −14.7317 | + | 1.39616i | −0.749825 | + | 0.0710629i | ||||
\(387\) | 0.810954 | + | 1.59159i | 0.0412231 | + | 0.0809049i | ||||
\(388\) | 0.867631 | + | 27.1882i | 0.0440473 | + | 1.38027i | ||||
\(389\) | 6.63915 | − | 2.15719i | 0.336618 | − | 0.109374i | −0.135830 | − | 0.990732i | \(-0.543370\pi\) |
0.472449 | + | 0.881358i | \(0.343370\pi\) | |||||||
\(390\) | 0.948506 | + | 1.32923i | 0.0480295 | + | 0.0673084i | ||||
\(391\) | 21.3128 | + | 6.92496i | 1.07784 | + | 0.350210i | ||||
\(392\) | −16.2764 | − | 8.93258i | −0.822080 | − | 0.451163i | ||||
\(393\) | −6.29364 | + | 6.29364i | −0.317472 | + | 0.317472i | ||||
\(394\) | 18.1255 | + | 20.5492i | 0.913148 | + | 1.03526i | ||||
\(395\) | 0.624545 | + | 11.5440i | 0.0314242 | + | 0.580841i | ||||
\(396\) | −0.703818 | − | 3.67984i | −0.0353682 | − | 0.184919i | ||||
\(397\) | −13.2885 | − | 2.10468i | −0.666928 | − | 0.105631i | −0.186215 | − | 0.982509i | \(-0.559622\pi\) |
−0.480713 | + | 0.876878i | \(0.659622\pi\) | |||||||
\(398\) | −28.6164 | − | 23.6618i | −1.43441 | − | 1.18606i | ||||
\(399\) | 0.101383 | 0.00507550 | ||||||||
\(400\) | 14.3502 | + | 13.9310i | 0.717508 | + | 0.696550i | ||||
\(401\) | −8.16004 | −0.407493 | −0.203746 | − | 0.979024i | \(-0.565312\pi\) | ||||
−0.203746 | + | 0.979024i | \(0.565312\pi\) | |||||||
\(402\) | −0.546864 | − | 0.452182i | −0.0272751 | − | 0.0225528i | ||||
\(403\) | −4.26905 | − | 0.676151i | −0.212656 | − | 0.0336815i | ||||
\(404\) | 3.34174 | + | 17.4719i | 0.166258 | + | 0.869262i | ||||
\(405\) | 2.08619 | − | 0.804859i | 0.103664 | − | 0.0399938i | ||||
\(406\) | −2.30952 | − | 2.61836i | −0.114620 | − | 0.129947i | ||||
\(407\) | −0.345504 | + | 0.345504i | −0.0171260 | + | 0.0171260i | ||||
\(408\) | 9.66959 | + | 5.30674i | 0.478716 | + | 0.262723i | ||||
\(409\) | 29.1233 | + | 9.46272i | 1.44005 | + | 0.467901i | 0.921914 | − | 0.387395i | \(-0.126625\pi\) |
0.518139 | + | 0.855297i | \(0.326625\pi\) | |||||||
\(410\) | 0.264699 | − | 30.9923i | 0.0130726 | − | 1.53060i | ||||
\(411\) | −3.38982 | + | 1.10142i | −0.167208 | + | 0.0543290i | ||||
\(412\) | −0.0593120 | − | 1.85860i | −0.00292209 | − | 0.0915668i | ||||
\(413\) | −4.10485 | − | 8.05622i | −0.201986 | − | 0.396421i | ||||
\(414\) | −8.09049 | + | 0.766758i | −0.397626 | + | 0.0376841i | ||||
\(415\) | 23.2404 | + | 10.3003i | 1.14083 | + | 0.505622i | ||||
\(416\) | −0.460463 | − | 2.88459i | −0.0225760 | − | 0.141429i | ||||
\(417\) | 2.28443 | + | 14.4233i | 0.111869 | + | 0.706314i | ||||
\(418\) | −0.218088 | − | 0.343467i | −0.0106670 | − | 0.0167995i | ||||
\(419\) | 8.28642 | + | 6.02044i | 0.404818 | + | 0.294118i | 0.771501 | − | 0.636229i | \(-0.219506\pi\) |
−0.366683 | + | 0.930346i | \(0.619506\pi\) | |||||||
\(420\) | 2.86550 | − | 0.710444i | 0.139822 | − | 0.0346661i | ||||
\(421\) | 3.46287 | − | 2.51593i | 0.168770 | − | 0.122619i | −0.500194 | − | 0.865913i | \(-0.666738\pi\) |
0.668964 | + | 0.743295i | \(0.266738\pi\) | |||||||
\(422\) | 28.9774 | + | 11.4648i | 1.41060 | + | 0.558100i | ||||
\(423\) | 3.46137 | − | 6.79333i | 0.168298 | − | 0.330303i | ||||
\(424\) | −7.72176 | − | 5.98061i | −0.375002 | − | 0.290444i | ||||
\(425\) | −16.3169 | + | 10.6749i | −0.791488 | + | 0.517807i | ||||
\(426\) | 1.75358 | − | 7.85403i | 0.0849614 | − | 0.380529i | ||||
\(427\) | −1.53499 | − | 0.782116i | −0.0742833 | − | 0.0378492i | ||||
\(428\) | 30.8186 | + | 20.9225i | 1.48968 | + | 1.01133i | ||||
\(429\) | −0.568581 | − | 0.782584i | −0.0274513 | − | 0.0377835i | ||||
\(430\) | 5.01095 | + | 2.60735i | 0.241650 | + | 0.125738i | ||||
\(431\) | −8.79922 | + | 12.1111i | −0.423844 | + | 0.583371i | −0.966526 | − | 0.256567i | \(-0.917409\pi\) |
0.542683 | + | 0.839938i | \(0.317409\pi\) | |||||||
\(432\) | −3.98261 | − | 0.372567i | −0.191613 | − | 0.0179252i | ||||
\(433\) | 11.6158 | − | 1.83976i | 0.558218 | − | 0.0884130i | 0.129051 | − | 0.991638i | \(-0.458807\pi\) |
0.429167 | + | 0.903225i | \(0.358807\pi\) | |||||||
\(434\) | −3.97620 | + | 6.72711i | −0.190864 | + | 0.322912i | ||||
\(435\) | −8.31797 | − | 0.860055i | −0.398816 | − | 0.0412365i | ||||
\(436\) | 2.42562 | − | 19.2760i | 0.116166 | − | 0.923153i | ||||
\(437\) | −0.786336 | + | 0.400658i | −0.0376156 | + | 0.0191661i | ||||
\(438\) | 5.66185 | + | 22.0292i | 0.270534 | + | 1.05260i | ||||
\(439\) | 6.49959 | + | 20.0037i | 0.310209 | + | 0.954724i | 0.977682 | + | 0.210090i | \(0.0673758\pi\) |
−0.667473 | + | 0.744634i | \(0.732624\pi\) | |||||||
\(440\) | −8.57092 | − | 8.17955i | −0.408603 | − | 0.389945i | ||||
\(441\) | −2.02845 | + | 6.24293i | −0.0965929 | + | 0.297282i | ||||
\(442\) | 2.84230 | + | 0.178130i | 0.135194 | + | 0.00847277i | ||||
\(443\) | −14.6462 | − | 14.6462i | −0.695864 | − | 0.695864i | 0.267652 | − | 0.963516i | \(-0.413752\pi\) |
−0.963516 | + | 0.267652i | \(0.913752\pi\) | |||||||
\(444\) | 0.251539 | + | 0.457023i | 0.0119375 | + | 0.0216893i | ||||
\(445\) | −10.3587 | + | 38.9221i | −0.491051 | + | 1.84509i | ||||
\(446\) | 27.6477 | − | 11.9722i | 1.30916 | − | 0.566900i | ||||
\(447\) | −2.60427 | + | 16.4427i | −0.123178 | + | 0.777714i | ||||
\(448\) | −5.15565 | − | 1.14454i | −0.243582 | − | 0.0540747i | ||||
\(449\) | 16.9769i | 0.801188i | 0.916256 | + | 0.400594i | \(0.131196\pi\) | ||||
−0.916256 | + | 0.400594i | \(0.868804\pi\) | |||||||
\(450\) | 3.89172 | − | 5.90377i | 0.183458 | − | 0.278306i | ||||
\(451\) | 18.3599i | 0.864532i | ||||||||
\(452\) | −14.7514 | + | 11.4539i | −0.693850 | + | 0.538745i | ||||
\(453\) | −0.614621 | + | 3.88057i | −0.0288774 | + | 0.182325i | ||||
\(454\) | 11.7474 | + | 27.1286i | 0.551334 | + | 1.27321i | ||||
\(455\) | 0.591569 | − | 0.480699i | 0.0277332 | − | 0.0225355i | ||||
\(456\) | −0.417045 | + | 0.121492i | −0.0195299 | + | 0.00568939i | ||||
\(457\) | −9.33909 | − | 9.33909i | −0.436864 | − | 0.436864i | 0.454091 | − | 0.890955i | \(-0.349964\pi\) |
−0.890955 | + | 0.454091i | \(0.849964\pi\) | |||||||
\(458\) | 1.58763 | − | 25.3328i | 0.0741851 | − | 1.18372i | ||||
\(459\) | 1.20508 | − | 3.70885i | 0.0562483 | − | 0.173114i | ||||
\(460\) | −19.4175 | + | 16.8345i | −0.905345 | + | 0.784914i | ||||
\(461\) | 9.65012 | + | 29.7000i | 0.449451 | + | 1.38327i | 0.877528 | + | 0.479526i | \(0.159191\pi\) |
−0.428077 | + | 0.903742i | \(0.640809\pi\) | |||||||
\(462\) | −1.69381 | + | 0.435335i | −0.0788032 | + | 0.0202536i | ||||
\(463\) | 9.29083 | − | 4.73391i | 0.431781 | − | 0.220004i | −0.224572 | − | 0.974458i | \(-0.572098\pi\) |
0.656353 | + | 0.754454i | \(0.272098\pi\) | |||||||
\(464\) | 12.6380 | + | 8.00315i | 0.586707 | + | 0.371537i | ||||
\(465\) | 3.92228 | + | 18.3008i | 0.181891 | + | 0.848682i | ||||
\(466\) | −7.53507 | − | 4.45376i | −0.349055 | − | 0.206316i | ||||
\(467\) | 15.0045 | − | 2.37648i | 0.694327 | − | 0.109971i | 0.200711 | − | 0.979651i | \(-0.435675\pi\) |
0.493616 | + | 0.869680i | \(0.335675\pi\) | |||||||
\(468\) | −0.971542 | + | 0.350309i | −0.0449095 | + | 0.0161931i | ||||
\(469\) | −0.194695 | + | 0.267975i | −0.00899019 | + | 0.0123739i | ||||
\(470\) | −3.56816 | − | 23.8448i | −0.164587 | − | 1.09988i | ||||
\(471\) | 12.9140 | + | 17.7746i | 0.595046 | + | 0.819011i | ||||
\(472\) | 26.5397 | + | 28.2207i | 1.22159 | + | 1.29896i | ||||
\(473\) | −2.98147 | − | 1.51914i | −0.137088 | − | 0.0698500i | ||||
\(474\) | −7.13604 | − | 1.59327i | −0.327769 | − | 0.0731815i | ||||
\(475\) | 0.157114 | − | 0.751639i | 0.00720891 | − | 0.0344876i | ||||
\(476\) | 2.18998 | − | 4.65980i | 0.100377 | − | 0.213582i | ||||
\(477\) | −1.56769 | + | 3.07677i | −0.0717797 | + | 0.140876i | ||||
\(478\) | −2.26443 | + | 5.72336i | −0.103573 | + | 0.261781i | ||||
\(479\) | −23.5993 | + | 17.1459i | −1.07828 | + | 0.783416i | −0.977382 | − | 0.211481i | \(-0.932171\pi\) |
−0.100897 | + | 0.994897i | \(0.532171\pi\) | |||||||
\(480\) | −10.9361 | + | 6.35632i | −0.499160 | + | 0.290125i | ||||
\(481\) | 0.108968 | + | 0.0791697i | 0.00496850 | + | 0.00360983i | ||||
\(482\) | −2.19813 | + | 1.39573i | −0.100122 | + | 0.0635736i | ||||
\(483\) | 0.593436 | + | 3.74681i | 0.0270023 | + | 0.170486i | ||||
\(484\) | −10.9262 | − | 10.2504i | −0.496644 | − | 0.465927i | ||||
\(485\) | 20.3119 | − | 22.6354i | 0.922316 | − | 1.02782i | ||||
\(486\) | 0.133431 | + | 1.40790i | 0.00605255 | + | 0.0638639i | ||||
\(487\) | −9.87340 | − | 19.3776i | −0.447406 | − | 0.878084i | −0.999032 | − | 0.0439926i | \(-0.985992\pi\) |
0.551625 | − | 0.834092i | \(-0.314008\pi\) | |||||||
\(488\) | 7.25150 | + | 1.37783i | 0.328260 | + | 0.0623713i | ||||
\(489\) | 1.96065 | − | 0.637054i | 0.0886637 | − | 0.0288086i | ||||
\(490\) | 6.24569 | + | 19.7959i | 0.282151 | + | 0.894290i | ||||
\(491\) | −31.7883 | − | 10.3287i | −1.43459 | − | 0.466126i | −0.514382 | − | 0.857561i | \(-0.671979\pi\) |
−0.920205 | + | 0.391436i | \(0.871979\pi\) | |||||||
\(492\) | 18.8263 | + | 5.45963i | 0.848754 | + | 0.246139i | ||||
\(493\) | −10.3124 | + | 10.3124i | −0.464447 | + | 0.464447i | ||||
\(494\) | −0.0841097 | + | 0.0741890i | −0.00378428 | + | 0.00333792i | ||||
\(495\) | −2.27543 | + | 3.51684i | −0.102273 | + | 0.158070i | ||||
\(496\) | 8.29490 | − | 32.4372i | 0.372452 | − | 1.45647i | ||||
\(497\) | −3.71023 | − | 0.587643i | −0.166427 | − | 0.0263594i | ||||
\(498\) | −10.2452 | + | 12.3904i | −0.459096 | + | 0.555227i | ||||
\(499\) | 34.6232 | 1.54995 | 0.774973 | − | 0.631994i | \(-0.217763\pi\) | ||||
0.774973 | + | 0.631994i | \(0.217763\pi\) | |||||||
\(500\) | −0.826427 | − | 22.3454i | −0.0369589 | − | 0.999317i | ||||
\(501\) | −11.3237 | −0.505906 | ||||||||
\(502\) | 25.3879 | − | 30.7039i | 1.13312 | − | 1.37038i | ||||
\(503\) | 6.32790 | + | 1.00224i | 0.282147 | + | 0.0446877i | 0.295904 | − | 0.955218i | \(-0.404379\pi\) |
−0.0137570 | + | 0.999905i | \(0.504379\pi\) | |||||||
\(504\) | −0.0572906 | + | 1.86629i | −0.00255193 | + | 0.0831314i | ||||
\(505\) | 10.8038 | − | 16.6980i | 0.480761 | − | 0.743052i | ||||
\(506\) | 11.4169 | − | 10.0703i | 0.507545 | − | 0.447680i | ||||
\(507\) | 9.00384 | − | 9.00384i | 0.399874 | − | 0.399874i | ||||
\(508\) | 1.14832 | − | 3.95973i | 0.0509486 | − | 0.175684i | ||||
\(509\) | 10.9090 | + | 3.54457i | 0.483535 | + | 0.157110i | 0.540633 | − | 0.841258i | \(-0.318185\pi\) |
−0.0570980 | + | 0.998369i | \(0.518185\pi\) | |||||||
\(510\) | −3.71049 | − | 11.7605i | −0.164303 | − | 0.520765i | ||||
\(511\) | 10.0977 | − | 3.28093i | 0.446694 | − | 0.145140i | ||||
\(512\) | 22.5796 | − | 1.47011i | 0.997887 | − | 0.0649701i | ||||
\(513\) | 0.0697224 | + | 0.136838i | 0.00307832 | + | 0.00604154i | ||||
\(514\) | −1.41944 | − | 14.9774i | −0.0626090 | − | 0.660623i | ||||
\(515\) | −1.38854 | + | 1.54737i | −0.0611863 | + | 0.0681855i | ||||
\(516\) | −2.44432 | + | 2.60547i | −0.107605 | + | 0.114699i | ||||
\(517\) | 2.23427 | + | 14.1066i | 0.0982629 | + | 0.620407i | ||||
\(518\) | 0.205573 | − | 0.130531i | 0.00903237 | − | 0.00573519i | ||||
\(519\) | 10.4276 | + | 7.57612i | 0.457722 | + | 0.332555i | ||||
\(520\) | −1.85741 | + | 2.68629i | −0.0814527 | + | 0.117802i | ||||
\(521\) | −16.5330 | + | 12.0119i | −0.724322 | + | 0.526251i | −0.887762 | − | 0.460303i | \(-0.847741\pi\) |
0.163440 | + | 0.986553i | \(0.447741\pi\) | |||||||
\(522\) | 1.94574 | − | 4.91787i | 0.0851628 | − | 0.215249i | ||||
\(523\) | −3.52578 | + | 6.91973i | −0.154172 | + | 0.302579i | −0.955154 | − | 0.296109i | \(-0.904311\pi\) |
0.800983 | + | 0.598688i | \(0.204311\pi\) | |||||||
\(524\) | −16.1106 | − | 7.57153i | −0.703795 | − | 0.330764i | ||||
\(525\) | −2.86407 | − | 1.64070i | −0.124998 | − | 0.0716060i | ||||
\(526\) | −15.4226 | − | 3.44343i | −0.672457 | − | 0.150141i | ||||
\(527\) | 29.0839 | + | 14.8190i | 1.26691 | + | 0.645525i | ||||
\(528\) | 6.44590 | − | 3.82055i | 0.280522 | − | 0.166268i | ||||
\(529\) | −5.89079 | − | 8.10797i | −0.256121 | − | 0.352521i | ||||
\(530\) | 1.61606 | + | 10.7995i | 0.0701970 | + | 0.469102i | ||||
\(531\) | 8.05062 | − | 11.0807i | 0.349367 | − | 0.480862i | ||||
\(532\) | 0.0687772 | + | 0.190745i | 0.00298187 | + | 0.00826986i | ||||
\(533\) | 4.99875 | − | 0.791725i | 0.216520 | − | 0.0342934i | ||||
\(534\) | −21.9292 | − | 12.9617i | −0.948968 | − | 0.560907i | ||||
\(535\) | −8.72755 | − | 40.7217i | −0.377325 | − | 1.76055i | ||||
\(536\) | 0.479763 | − | 1.33564i | 0.0207226 | − | 0.0576910i | ||||
\(537\) | 6.22949 | − | 3.17409i | 0.268822 | − | 0.136972i | ||||
\(538\) | 14.0371 | − | 3.60774i | 0.605181 | − | 0.155541i | ||||
\(539\) | −3.79984 | − | 11.6947i | −0.163671 | − | 0.503726i | ||||
\(540\) | 2.92954 | + | 3.37902i | 0.126067 | + | 0.145410i | ||||
\(541\) | −12.2423 | + | 37.6779i | −0.526338 | + | 1.61990i | 0.235317 | + | 0.971919i | \(0.424387\pi\) |
−0.761655 | + | 0.647983i | \(0.775613\pi\) | |||||||
\(542\) | 0.211128 | − | 3.36884i | 0.00906874 | − | 0.144704i | ||||
\(543\) | 1.31556 | + | 1.31556i | 0.0564563 | + | 0.0564563i | ||||
\(544\) | −3.42453 | + | 21.7927i | −0.146825 | + | 0.934355i | ||||
\(545\) | −16.8574 | + | 13.6981i | −0.722093 | + | 0.586761i | ||||
\(546\) | 0.191568 | + | 0.442393i | 0.00819836 | + | 0.0189327i | ||||
\(547\) | −0.879288 | + | 5.55161i | −0.0375956 | + | 0.237370i | −0.999329 | − | 0.0366162i | \(-0.988342\pi\) |
0.961734 | + | 0.273986i | \(0.0883421\pi\) | |||||||
\(548\) | −4.37186 | − | 5.63053i | −0.186757 | − | 0.240524i | ||||
\(549\) | − | 2.60966i | − | 0.111378i | ||||||
\(550\) | 0.602591 | + | 13.2323i | 0.0256946 | + | 0.564228i | ||||
\(551\) | − | 0.574338i | − | 0.0244676i | ||||||
\(552\) | −6.93111 | − | 14.7016i | −0.295007 | − | 0.625740i | ||||
\(553\) | −0.533922 | + | 3.37105i | −0.0227047 | + | 0.143352i | ||||
\(554\) | 2.99794 | − | 1.29819i | 0.127370 | − | 0.0551547i | ||||
\(555\) | 0.150004 | − | 0.563628i | 0.00636731 | − | 0.0239247i | ||||
\(556\) | −25.5868 | + | 14.0826i | −1.08512 | + | 0.597237i | ||||
\(557\) | −14.0532 | − | 14.0532i | −0.595452 | − | 0.595452i | 0.343647 | − | 0.939099i | \(-0.388338\pi\) |
−0.939099 | + | 0.343647i | \(0.888338\pi\) | |||||||
\(558\) | −11.8141 | − | 0.740404i | −0.500132 | − | 0.0313438i | ||||
\(559\) | −0.285039 | + | 0.877261i | −0.0120559 | + | 0.0371042i | ||||
\(560\) | 3.28058 | + | 4.90930i | 0.138630 | + | 0.207456i | ||||
\(561\) | 2.25744 | + | 6.94768i | 0.0953092 | + | 0.293331i | ||||
\(562\) | −5.84779 | − | 22.7527i | −0.246674 | − | 0.959765i | ||||
\(563\) | −30.6565 | + | 15.6203i | −1.29202 | + | 0.658316i | −0.958679 | − | 0.284490i | \(-0.908176\pi\) |
−0.333340 | + | 0.942807i | \(0.608176\pi\) | |||||||
\(564\) | 15.1294 | + | 1.90382i | 0.637061 | + | 0.0801654i | ||||
\(565\) | 20.7698 | + | 2.14754i | 0.873791 | + | 0.0903475i | ||||
\(566\) | 16.9805 | − | 28.7284i | 0.713744 | − | 1.20754i | ||||
\(567\) | 0.652018 | − | 0.103270i | 0.0273822 | − | 0.00433691i | ||||
\(568\) | 15.9664 | − | 2.02884i | 0.669937 | − | 0.0851283i | ||||
\(569\) | 16.6510 | − | 22.9181i | 0.698045 | − | 0.960777i | −0.301927 | − | 0.953331i | \(-0.597630\pi\) |
0.999972 | − | 0.00744590i | \(-0.00237013\pi\) | |||||||
\(570\) | 0.430821 | + | 0.224169i | 0.0180451 | + | 0.00938942i | ||||
\(571\) | −5.23495 | − | 7.20530i | −0.219076 | − | 0.301532i | 0.685307 | − | 0.728255i | \(-0.259668\pi\) |
−0.904383 | + | 0.426722i | \(0.859668\pi\) | |||||||
\(572\) | 1.08666 | − | 1.60064i | 0.0454355 | − | 0.0669262i | ||||
\(573\) | −3.57657 | − | 1.82236i | −0.149414 | − | 0.0761300i | ||||
\(574\) | 1.99386 | − | 8.93018i | 0.0832219 | − | 0.372738i | ||||
\(575\) | 28.6979 | + | 1.40682i | 1.19679 | + | 0.0586685i | ||||
\(576\) | −2.00080 | − | 7.74576i | −0.0833666 | − | 0.322740i | ||||
\(577\) | 2.56439 | − | 5.03290i | 0.106757 | − | 0.209522i | −0.831448 | − | 0.555603i | \(-0.812488\pi\) |
0.938205 | + | 0.346080i | \(0.112488\pi\) | |||||||
\(578\) | 2.35679 | + | 0.932458i | 0.0980296 | + | 0.0387851i | ||||
\(579\) | −8.46521 | + | 6.15033i | −0.351802 | + | 0.255599i | ||||
\(580\) | −4.02468 | − | 16.2332i | −0.167116 | − | 0.674045i | ||||
\(581\) | 6.07156 | + | 4.41124i | 0.251891 | + | 0.183009i | ||||
\(582\) | 10.3104 | + | 16.2379i | 0.427381 | + | 0.673083i | ||||
\(583\) | −1.01192 | − | 6.38902i | −0.0419095 | − | 0.264606i | ||||
\(584\) | −37.6056 | + | 25.5968i | −1.55613 | + | 1.05920i | ||||
\(585\) | 1.05564 | + | 0.467865i | 0.0436451 | + | 0.0193438i | ||||
\(586\) | −37.1763 | + | 3.52329i | −1.53574 | + | 0.145546i | ||||
\(587\) | −1.15370 | − | 2.26427i | −0.0476185 | − | 0.0934565i | 0.865971 | − | 0.500094i | \(-0.166701\pi\) |
−0.913590 | + | 0.406637i | \(0.866701\pi\) | |||||||
\(588\) | −13.1217 | + | 0.418742i | −0.541131 | + | 0.0172686i | ||||
\(589\) | −1.22256 | + | 0.397234i | −0.0503747 | + | 0.0163677i | ||||
\(590\) | 0.369908 | − | 43.3106i | 0.0152289 | − | 1.78307i | ||||
\(591\) | 18.4270 | + | 5.98730i | 0.757985 | + | 0.246284i | ||||
\(592\) | −0.689216 | + | 0.783294i | −0.0283266 | + | 0.0321932i | ||||
\(593\) | −10.2988 | + | 10.2988i | −0.422922 | + | 0.422922i | −0.886209 | − | 0.463287i | \(-0.846670\pi\) |
0.463287 | + | 0.886209i | \(0.346670\pi\) | |||||||
\(594\) | −1.75243 | − | 1.98677i | −0.0719032 | − | 0.0815183i | ||||
\(595\) | −5.37066 | + | 2.07202i | −0.220176 | + | 0.0849443i | ||||
\(596\) | −32.7026 | + | 6.25480i | −1.33955 | + | 0.256207i | ||||
\(597\) | −25.9330 | − | 4.10738i | −1.06137 | − | 0.168104i | ||||
\(598\) | −3.23413 | − | 2.67418i | −0.132253 | − | 0.109355i | ||||
\(599\) | −33.7978 | −1.38094 | −0.690470 | − | 0.723361i | \(-0.742596\pi\) | ||||
−0.690470 | + | 0.723361i | \(0.742596\pi\) | |||||||
\(600\) | 13.7476 | + | 3.31696i | 0.561245 | + | 0.135414i | ||||
\(601\) | −1.37594 | −0.0561258 | −0.0280629 | − | 0.999606i | \(-0.508934\pi\) | ||||
−0.0280629 | + | 0.999606i | \(0.508934\pi\) | |||||||
\(602\) | 1.28520 | + | 1.06269i | 0.0523809 | + | 0.0433119i | ||||
\(603\) | −0.495584 | − | 0.0784927i | −0.0201817 | − | 0.00319647i | ||||
\(604\) | −7.71798 | + | 1.47617i | −0.314040 | + | 0.0600643i | ||||
\(605\) | 0.904876 | + | 16.7256i | 0.0367885 | + | 0.679993i | ||||
\(606\) | 8.32058 | + | 9.43323i | 0.338001 | + | 0.383199i | ||||
\(607\) | −1.92999 | + | 1.92999i | −0.0783357 | + | 0.0783357i | −0.745189 | − | 0.666853i | \(-0.767641\pi\) |
0.666853 | + | 0.745189i | \(0.267641\pi\) | |||||||
\(608\) | −0.511498 | − | 0.702223i | −0.0207440 | − | 0.0284789i | ||||
\(609\) | −2.34794 | − | 0.762893i | −0.0951435 | − | 0.0309140i | ||||
\(610\) | −4.79349 | − | 6.71758i | −0.194083 | − | 0.271987i | ||||
\(611\) | 3.74439 | − | 1.21663i | 0.151482 | − | 0.0492194i | ||||
\(612\) | 7.79547 | − | 0.248770i | 0.315113 | − | 0.0100559i | ||||
\(613\) | −17.2610 | − | 33.8767i | −0.697166 | − | 1.36827i | −0.919420 | − | 0.393277i | \(-0.871341\pi\) |
0.222254 | − | 0.974989i | \(-0.428659\pi\) | |||||||
\(614\) | 1.65977 | − | 0.157301i | 0.0669827 | − | 0.00634813i | ||||
\(615\) | −10.9899 | − | 18.9610i | −0.443154 | − | 0.764580i | ||||
\(616\) | −1.96812 | − | 2.89147i | −0.0792977 | − | 0.116500i | ||||
\(617\) | −1.12869 | − | 7.12627i | −0.0454393 | − | 0.286893i | 0.954496 | − | 0.298222i | \(-0.0963936\pi\) |
−0.999936 | + | 0.0113295i | \(0.996394\pi\) | |||||||
\(618\) | −0.704828 | − | 1.11004i | −0.0283523 | − | 0.0446522i | ||||
\(619\) | −31.7345 | − | 23.0565i | −1.27552 | − | 0.926718i | −0.276110 | − | 0.961126i | \(-0.589045\pi\) |
−0.999408 | + | 0.0344083i | \(0.989045\pi\) | |||||||
\(620\) | −31.7710 | + | 19.7946i | −1.27595 | + | 0.794970i | ||||
\(621\) | −4.64900 | + | 3.37769i | −0.186558 | + | 0.135542i | ||||
\(622\) | −30.1229 | − | 11.9180i | −1.20782 | − | 0.477869i | ||||
\(623\) | −5.39832 | + | 10.5948i | −0.216279 | + | 0.424472i | ||||
\(624\) | −1.31817 | − | 1.59024i | −0.0527689 | − | 0.0636607i | ||||
\(625\) | −16.6024 | + | 18.6912i | −0.664096 | + | 0.747648i | ||||
\(626\) | 5.03809 | − | 22.5648i | 0.201363 | − | 0.901872i | ||||
\(627\) | −0.256335 | − | 0.130609i | −0.0102370 | − | 0.00521602i | ||||
\(628\) | −24.6810 | + | 36.3549i | −0.984879 | + | 1.45072i | ||||
\(629\) | −0.597888 | − | 0.822922i | −0.0238393 | − | 0.0328120i | ||||
\(630\) | 1.48868 | − | 1.46347i | 0.0593106 | − | 0.0583060i | ||||
\(631\) | −0.281835 | + | 0.387913i | −0.0112197 | + | 0.0154426i | −0.814590 | − | 0.580037i | \(-0.803038\pi\) |
0.803370 | + | 0.595480i | \(0.203038\pi\) | |||||||
\(632\) | −1.84337 | − | 14.5068i | −0.0733253 | − | 0.577051i | ||||
\(633\) | 21.7643 | − | 3.44712i | 0.865053 | − | 0.137011i | ||||
\(634\) | 9.56983 | − | 16.1907i | 0.380066 | − | 0.643013i | ||||
\(635\) | −3.98806 | + | 2.31149i | −0.158261 | + | 0.0917289i | ||||
\(636\) | −6.85224 | − | 0.862261i | −0.271709 | − | 0.0341909i | ||||
\(637\) | −3.02020 | + | 1.53887i | −0.119665 | + | 0.0609723i | ||||
\(638\) | 2.46618 | + | 9.59548i | 0.0976371 | + | 0.379889i | ||||
\(639\) | −1.75842 | − | 5.41187i | −0.0695622 | − | 0.214090i | ||||
\(640\) | −19.3779 | − | 16.2634i | −0.765978 | − | 0.642867i | ||||
\(641\) | −12.7819 | + | 39.3385i | −0.504853 | + | 1.55378i | 0.296164 | + | 0.955137i | \(0.404292\pi\) |
−0.801017 | + | 0.598641i | \(0.795708\pi\) | |||||||
\(642\) | 26.2879 | + | 1.64749i | 1.03750 | + | 0.0650213i | ||||
\(643\) | −3.73251 | − | 3.73251i | −0.147196 | − | 0.147196i | 0.629668 | − | 0.776864i | \(-0.283191\pi\) |
−0.776864 | + | 0.629668i | \(0.783191\pi\) | |||||||
\(644\) | −6.64679 | + | 3.65830i | −0.261920 | + | 0.144157i | ||||
\(645\) | 3.98841 | − | 0.215778i | 0.157043 | − | 0.00849625i | ||||
\(646\) | 0.777240 | − | 0.336566i | 0.0305801 | − | 0.0132420i | ||||
\(647\) | 6.75154 | − | 42.6275i | 0.265430 | − | 1.67586i | −0.390162 | − | 0.920746i | \(-0.627581\pi\) |
0.655593 | − | 0.755115i | \(-0.272419\pi\) | |||||||
\(648\) | −2.55836 | + | 1.20615i | −0.100502 | + | 0.0473820i | ||||
\(649\) | 25.6573i | 1.00714i | ||||||||
\(650\) | 3.57671 | − | 0.734676i | 0.140290 | − | 0.0288164i | ||||
\(651\) | 5.52558i | 0.216565i | ||||||||
\(652\) | 2.52866 | + | 3.25666i | 0.0990299 | + | 0.127541i | ||||
\(653\) | 5.04111 | − | 31.8283i | 0.197274 | − | 1.24554i | −0.667970 | − | 0.744188i | \(-0.732837\pi\) |
0.865244 | − | 0.501351i | \(-0.167163\pi\) | |||||||
\(654\) | −5.45895 | − | 12.6065i | −0.213462 | − | 0.492953i | ||||
\(655\) | 7.16369 | + | 18.5683i | 0.279909 | + | 0.725523i | ||||
\(656\) | 2.49961 | + | 39.1241i | 0.0975934 | + | 1.52754i | ||||
\(657\) | 11.3726 | + | 11.3726i | 0.443687 | + | 0.443687i | ||||
\(658\) | 0.445218 | − | 7.10404i | 0.0173564 | − | 0.276944i | ||||
\(659\) | 8.49446 | − | 26.1432i | 0.330897 | − | 1.01840i | −0.637811 | − | 0.770193i | \(-0.720160\pi\) |
0.968708 | − | 0.248203i | \(-0.0798401\pi\) | |||||||
\(660\) | −8.16032 | − | 1.89528i | −0.317640 | − | 0.0737736i | ||||
\(661\) | 0.735294 | + | 2.26300i | 0.0285996 | + | 0.0880205i | 0.964337 | − | 0.264676i | \(-0.0852649\pi\) |
−0.935738 | + | 0.352696i | \(0.885265\pi\) | |||||||
\(662\) | 24.7940 | − | 6.37243i | 0.963646 | − | 0.247672i | ||||
\(663\) | 1.79427 | − | 0.914225i | 0.0696835 | − | 0.0355055i | ||||
\(664\) | −30.2619 | − | 10.8701i | −1.17439 | − | 0.421840i | ||||
\(665\) | 0.0918571 | − | 0.207256i | 0.00356207 | − | 0.00803703i | ||||
\(666\) | 0.317554 | + | 0.187697i | 0.0123050 | + | 0.00727311i | ||||
\(667\) | 21.2258 | − | 3.36183i | 0.821865 | − | 0.130171i | ||||
\(668\) | −7.68189 | − | 21.3048i | −0.297221 | − | 0.824308i | ||||
\(669\) | 12.5222 | − | 17.2354i | 0.484137 | − | 0.666358i | ||||
\(670\) | −1.41987 | + | 0.708250i | −0.0548543 | + | 0.0273621i | ||||
\(671\) | 2.87345 | + | 3.95496i | 0.110928 | + | 0.152680i | ||||
\(672\) | −3.55017 | + | 1.15829i | −0.136951 | + | 0.0446818i | ||||
\(673\) | 18.8496 | + | 9.60435i | 0.726598 | + | 0.370220i | 0.777837 | − | 0.628466i | \(-0.216317\pi\) |
−0.0512386 | + | 0.998686i | \(0.516317\pi\) | |||||||
\(674\) | −14.8190 | − | 3.30867i | −0.570808 | − | 0.127445i | ||||
\(675\) | 0.244815 | − | 4.99400i | 0.00942292 | − | 0.192219i | ||||
\(676\) | 23.0482 | + | 10.8320i | 0.886470 | + | 0.416616i | ||||
\(677\) | −19.3407 | + | 37.9583i | −0.743324 | + | 1.45886i | 0.140028 | + | 0.990148i | \(0.455281\pi\) |
−0.883353 | + | 0.468709i | \(0.844719\pi\) | |||||||
\(678\) | −4.85847 | + | 12.2798i | −0.186588 | + | 0.471603i | ||||
\(679\) | 7.26387 | − | 5.27751i | 0.278762 | − | 0.202532i | ||||
\(680\) | 19.6095 | − | 14.9593i | 0.751990 | − | 0.573661i | ||||
\(681\) | 16.9118 | + | 12.2871i | 0.648061 | + | 0.470844i | ||||
\(682\) | 18.7197 | − | 11.8862i | 0.716813 | − | 0.455147i | ||||
\(683\) | −1.06653 | − | 6.73380i | −0.0408096 | − | 0.257662i | 0.958845 | − | 0.283929i | \(-0.0916380\pi\) |
−0.999655 | + | 0.0262671i | \(0.991638\pi\) | |||||||
\(684\) | −0.210152 | + | 0.224007i | −0.00803538 | + | 0.00856514i | ||||
\(685\) | −0.819700 | + | 7.92768i | −0.0313191 | + | 0.302901i | ||||
\(686\) | 1.19479 | + | 12.6069i | 0.0456172 | + | 0.481333i | ||||
\(687\) | −8.14828 | − | 15.9919i | −0.310876 | − | 0.610129i | ||||
\(688\) | −6.56022 | − | 2.83130i | −0.250106 | − | 0.107942i | ||||
\(689\) | −1.69587 | + | 0.551022i | −0.0646076 | + | 0.0209923i | ||||
\(690\) | −5.76284 | + | 17.2340i | −0.219388 | + | 0.656086i | ||||
\(691\) | −16.0044 | − | 5.20015i | −0.608836 | − | 0.197823i | −0.0116588 | − | 0.999932i | \(-0.503711\pi\) |
−0.597177 | + | 0.802109i | \(0.703711\pi\) | |||||||
\(692\) | −7.17996 | + | 24.7584i | −0.272941 | + | 0.941175i | ||||
\(693\) | −0.874430 | + | 0.874430i | −0.0332169 | + | 0.0332169i | ||||
\(694\) | −26.3217 | + | 23.2170i | −0.999157 | + | 0.881306i | ||||
\(695\) | 31.5552 | + | 8.39809i | 1.19696 | + | 0.318558i | ||||
\(696\) | 10.5726 | + | 0.324553i | 0.400754 | + | 0.0123021i | ||||
\(697\) | −37.7505 | − | 5.97908i | −1.42990 | − | 0.226474i | ||||
\(698\) | 3.63259 | − | 4.39322i | 0.137496 | − | 0.166286i | ||||
\(699\) | −6.18924 | −0.234098 | ||||||||
\(700\) | 1.14391 | − | 6.50159i | 0.0432358 | − | 0.245737i | ||||
\(701\) | 1.14847 | 0.0433772 | 0.0216886 | − | 0.999765i | \(-0.493096\pi\) | ||||
0.0216886 | + | 0.999765i | \(0.493096\pi\) | |||||||
\(702\) | −0.465360 | + | 0.562801i | −0.0175639 | + | 0.0212416i | ||||
\(703\) | 0.0395652 | + | 0.00626651i | 0.00149223 | + | 0.000236346i | ||||
\(704\) | 11.5609 | + | 9.53572i | 0.435719 | + | 0.359391i | ||||
\(705\) | −10.7513 | − | 13.2311i | −0.404919 | − | 0.498310i | ||||
\(706\) | 24.9865 | − | 22.0393i | 0.940379 | − | 0.829462i | ||||
\(707\) | 4.15181 | − | 4.15181i | 0.156145 | − | 0.156145i | ||||
\(708\) | 26.3091 | + | 7.62965i | 0.988756 | + | 0.286740i | ||||
\(709\) | 4.78724 | + | 1.55547i | 0.179789 | + | 0.0584168i | 0.397528 | − | 0.917590i | \(-0.369868\pi\) |
−0.217739 | + | 0.976007i | \(0.569868\pi\) | |||||||
\(710\) | −14.4670 | − | 10.7009i | −0.542939 | − | 0.401597i | ||||
\(711\) | −4.91713 | + | 1.59767i | −0.184407 | + | 0.0599174i | ||||
\(712\) | 9.51004 | − | 50.0513i | 0.356404 | − | 1.87575i | ||||
\(713\) | −21.8367 | − | 42.8569i | −0.817791 | − | 1.60500i | ||||
\(714\) | −0.343502 | − | 3.62449i | −0.0128552 | − | 0.135643i | ||||
\(715\) | −2.11498 | + | 0.453287i | −0.0790958 | + | 0.0169520i | ||||
\(716\) | 10.1978 | + | 9.56711i | 0.381111 | + | 0.357540i | ||||
\(717\) | 0.680846 | + | 4.29869i | 0.0254266 | + | 0.160538i | ||||
\(718\) | 36.7111 | − | 23.3101i | 1.37005 | − | 0.869924i | ||||
\(719\) | 2.05400 | + | 1.49232i | 0.0766011 | + | 0.0556540i | 0.625427 | − | 0.780283i | \(-0.284925\pi\) |
−0.548826 | + | 0.835937i | \(0.684925\pi\) | |||||||
\(720\) | −4.37004 | + | 7.80402i | −0.162862 | + | 0.290839i | ||||
\(721\) | −0.496564 | + | 0.360775i | −0.0184930 | + | 0.0134360i | ||||
\(722\) | 9.87319 | − | 24.9545i | 0.367442 | − | 0.928711i | ||||
\(723\) | −0.835876 | + | 1.64050i | −0.0310866 | + | 0.0610108i | ||||
\(724\) | −1.58268 | + | 3.36761i | −0.0588199 | + | 0.125156i | ||||
\(725\) | −9.29461 | + | 16.2250i | −0.345193 | + | 0.602583i | ||||
\(726\) | −10.3391 | − | 2.30843i | −0.383720 | − | 0.0856738i | ||||
\(727\) | −39.3024 | − | 20.0256i | −1.45764 | − | 0.742707i | −0.467664 | − | 0.883907i | \(-0.654904\pi\) |
−0.989981 | + | 0.141199i | \(0.954904\pi\) | |||||||
\(728\) | −0.702376 | + | 0.660537i | −0.0260318 | + | 0.0244811i | ||||
\(729\) | 0.587785 | + | 0.809017i | 0.0217698 | + | 0.0299636i | ||||
\(730\) | 50.1639 | + | 8.38496i | 1.85665 | + | 0.310341i | ||||
\(731\) | 4.09450 | − | 5.63560i | 0.151441 | − | 0.208440i | ||||
\(732\) | 4.90991 | − | 1.77037i | 0.181475 | − | 0.0654346i | ||||
\(733\) | −25.8356 | + | 4.09196i | −0.954260 | + | 0.151140i | −0.614100 | − | 0.789228i | \(-0.710481\pi\) |
−0.340159 | + | 0.940368i | \(0.610481\pi\) | |||||||
\(734\) | −20.2554 | − | 11.9724i | −0.747640 | − | 0.441908i | ||||
\(735\) | 10.9245 | + | 9.80307i | 0.402955 | + | 0.361592i | ||||
\(736\) | 22.9580 | − | 23.0138i | 0.846243 | − | 0.848299i | ||||
\(737\) | 0.837487 | − | 0.426721i | 0.0308492 | − | 0.0157185i | ||||
\(738\) | 13.4244 | − | 3.45026i | 0.494158 | − | 0.127006i | ||||
\(739\) | −0.301873 | − | 0.929069i | −0.0111046 | − | 0.0341764i | 0.945351 | − | 0.326055i | \(-0.105720\pi\) |
−0.956455 | + | 0.291879i | \(0.905720\pi\) | |||||||
\(740\) | 1.16219 | − | 0.100137i | 0.0427229 | − | 0.00368110i | ||||
\(741\) | −0.0245065 | + | 0.0754232i | −0.000900268 | + | 0.00277074i | ||||
\(742\) | −0.201644 | + | 3.21749i | −0.00740257 | + | 0.118118i | ||||
\(743\) | 26.4861 | + | 26.4861i | 0.971681 | + | 0.971681i | 0.999610 | − | 0.0279291i | \(-0.00889128\pi\) |
−0.0279291 | + | 0.999610i | \(0.508891\pi\) | |||||||
\(744\) | −6.62156 | − | 22.7298i | −0.242758 | − | 0.833315i | ||||
\(745\) | 31.2540 | + | 20.2216i | 1.14506 | + | 0.740863i | ||||
\(746\) | 7.55534 | + | 17.4477i | 0.276621 | + | 0.638807i | ||||
\(747\) | −1.77842 | + | 11.2285i | −0.0650691 | + | 0.410830i | ||||
\(748\) | −11.5402 | + | 8.96045i | −0.421951 | + | 0.327627i | ||||
\(749\) | − | 12.2951i | − | 0.449253i | ||||||
\(750\) | −8.54292 | − | 13.3048i | −0.311943 | − | 0.485824i | ||||
\(751\) | 41.0628i | 1.49840i | 0.662343 | + | 0.749201i | \(0.269562\pi\) | ||||
−0.662343 | + | 0.749201i | \(0.730438\pi\) | |||||||
\(752\) | 6.68167 | + | 29.7564i | 0.243656 | + | 1.08510i | ||||
\(753\) | 4.40701 | − | 27.8247i | 0.160600 | − | 1.01399i | ||||
\(754\) | 2.50617 | − | 1.08524i | 0.0912693 | − | 0.0395221i | ||||
\(755\) | 7.37611 | + | 4.77241i | 0.268444 | + | 0.173686i | ||||
\(756\) | 0.636617 | + | 1.15667i | 0.0231535 | + | 0.0420677i | ||||
\(757\) | −21.5446 | − | 21.5446i | −0.783052 | − | 0.783052i | 0.197292 | − | 0.980345i | \(-0.436785\pi\) |
−0.980345 | + | 0.197292i | \(0.936785\pi\) | |||||||
\(758\) | 35.9688 | + | 2.25420i | 1.30644 | + | 0.0818762i | ||||
\(759\) | 3.32648 | − | 10.2378i | 0.120743 | − | 0.371610i | ||||
\(760\) | −0.129495 | + | 0.962634i | −0.00469729 | + | 0.0349184i | ||||
\(761\) | 8.21601 | + | 25.2863i | 0.297830 | + | 0.916627i | 0.982256 | + | 0.187544i | \(0.0600529\pi\) |
−0.684426 | + | 0.729082i | \(0.739947\pi\) | |||||||
\(762\) | −0.725694 | − | 2.82355i | −0.0262891 | − | 0.102286i | ||||
\(763\) | −5.71373 | + | 2.91129i | −0.206851 | + | 0.105396i | ||||
\(764\) | 1.00233 | − | 7.96535i | 0.0362630 | − | 0.288176i | ||||
\(765\) | −6.49009 | − | 5.82389i | −0.234650 | − | 0.210563i | ||||
\(766\) | −16.3649 | + | 27.6868i | −0.591287 | + | 1.00037i | ||||
\(767\) | 6.98559 | − | 1.10641i | 0.252235 | − | 0.0399501i | ||||
\(768\) | 13.2158 | − | 9.01901i | 0.476884 | − | 0.325445i | ||||
\(769\) | 15.9264 | − | 21.9208i | 0.574320 | − | 0.790484i | −0.418738 | − | 0.908107i | \(-0.637528\pi\) |
0.993058 | + | 0.117623i | \(0.0375275\pi\) | |||||||
\(770\) | −0.644713 | + | 3.85706i | −0.0232338 | + | 0.138999i | ||||
\(771\) | −6.25289 | − | 8.60636i | −0.225192 | − | 0.309951i | ||||
\(772\) | −17.3141 | − | 11.7544i | −0.623150 | − | 0.423050i | ||||
\(773\) | 43.9863 | + | 22.4122i | 1.58208 | + | 0.806109i | 0.999975 | − | 0.00700607i | \(-0.00223012\pi\) |
0.582103 | + | 0.813115i | \(0.302230\pi\) | |||||||
\(774\) | −0.550471 | + | 2.46548i | −0.0197863 | + | 0.0886197i | ||||
\(775\) | 40.9658 | + | 8.56306i | 1.47154 | + | 0.307594i | ||||
\(776\) | −23.5561 | + | 30.4140i | −0.845613 | + | 1.09180i | ||||
\(777\) | 0.0781725 | − | 0.153422i | 0.00280442 | − | 0.00550399i | ||||
\(778\) | 9.17998 | + | 3.63203i | 0.329118 | + | 0.130215i | ||||
\(779\) | 1.21773 | − | 0.884736i | 0.0436299 | − | 0.0316989i | ||||
\(780\) | −0.164124 | + | 2.30350i | −0.00587660 | + | 0.0824785i | ||||
\(781\) | 8.62382 | + | 6.26557i | 0.308584 | + | 0.224200i | ||||
\(782\) | 16.9879 | + | 26.7543i | 0.607487 | + | 0.956733i | ||||
\(783\) | −0.585024 | − | 3.69370i | −0.0209071 | − | 0.132002i | ||||
\(784\) | −9.68948 | − | 24.4036i | −0.346053 | − | 0.871557i | ||||
\(785\) | 48.0369 | − | 10.2954i | 1.71451 | − | 0.367458i | ||||
\(786\) | −12.5311 | + | 1.18761i | −0.446971 | + | 0.0423606i | ||||
\(787\) | 9.17534 | + | 18.0076i | 0.327066 | + | 0.641902i | 0.994727 | − | 0.102563i | \(-0.0327044\pi\) |
−0.667661 | + | 0.744466i | \(0.732704\pi\) | |||||||
\(788\) | 1.23598 | + | 38.7309i | 0.0440301 | + | 1.37973i | ||||
\(789\) | −10.6270 | + | 3.45293i | −0.378333 | + | 0.122928i | ||||
\(790\) | −9.72264 | + | 13.1445i | −0.345916 | + | 0.467660i | ||||
\(791\) | 5.86276 | + | 1.90493i | 0.208456 | + | 0.0677314i | ||||
\(792\) | 2.54915 | − | 4.64489i | 0.0905800 | − | 0.165049i | ||||
\(793\) | 0.952889 | − | 0.952889i | 0.0338381 | − | 0.0338381i | ||||
\(794\) | −12.5862 | − | 14.2693i | −0.446668 | − | 0.506398i | ||||
\(795\) | 4.86939 | + | 5.99248i | 0.172700 | + | 0.212531i | ||||
\(796\) | −9.86489 | − | 51.5775i | −0.349652 | − | 1.82812i | ||||
\(797\) | 25.0204 | + | 3.96285i | 0.886269 | + | 0.140371i | 0.582941 | − | 0.812515i | \(-0.301902\pi\) |
0.303329 | + | 0.952886i | \(0.401902\pi\) | |||||||
\(798\) | 0.110496 | + | 0.0913654i | 0.00391153 | + | 0.00323430i | ||||
\(799\) | −29.7327 | −1.05187 | ||||||||
\(800\) | 3.08561 | + | 28.1155i | 0.109093 | + | 0.994032i | ||||
\(801\) | −18.0124 | −0.636437 | ||||||||
\(802\) | −8.89354 | − | 7.35374i | −0.314042 | − | 0.259670i | ||||
\(803\) | −29.7574 | − | 4.71311i | −1.05012 | − | 0.166322i | ||||
\(804\) | −0.188520 | − | 0.985656i | −0.00664858 | − | 0.0347614i | ||||
\(805\) | 8.19721 | + | 2.18161i | 0.288914 | + | 0.0768915i | ||||
\(806\) | −4.04345 | − | 4.58415i | −0.142424 | − | 0.161470i | ||||
\(807\) | 7.24664 | − | 7.24664i | 0.255094 | − | 0.255094i | ||||
\(808\) | −12.1034 | + | 22.0540i | −0.425796 | + | 0.775858i | ||||
\(809\) | −12.6128 | − | 4.09815i | −0.443443 | − | 0.144083i | 0.0787807 | − | 0.996892i | \(-0.474897\pi\) |
−0.522223 | + | 0.852809i | \(0.674897\pi\) | |||||||
\(810\) | 2.99905 | + | 1.00285i | 0.105376 | + | 0.0352365i | ||||
\(811\) | −16.0118 | + | 5.20254i | −0.562250 | + | 0.182686i | −0.576333 | − | 0.817215i | \(-0.695517\pi\) |
0.0140834 | + | 0.999901i | \(0.495517\pi\) | |||||||
\(812\) | −0.157487 | − | 4.93504i | −0.00552672 | − | 0.173186i | ||||
\(813\) | −1.08358 | − | 2.12666i | −0.0380030 | − | 0.0745850i | ||||
\(814\) | −0.687926 | + | 0.0651966i | −0.0241118 | + | 0.00228514i | ||||
\(815\) | 0.474109 | − | 4.58532i | 0.0166073 | − | 0.160617i | ||||
\(816\) | 5.75640 | + | 14.4979i | 0.201514 | + | 0.507527i | ||||
\(817\) | 0.0429149 | + | 0.270954i | 0.00150140 | + | 0.00947947i | ||||
\(818\) | 23.2134 | + | 36.5589i | 0.811638 | + | 1.27825i | ||||
\(819\) | 0.275785 | + | 0.200369i | 0.00963670 | + | 0.00700147i | ||||
\(820\) | 28.2184 | − | 33.5396i | 0.985429 | − | 1.17125i | ||||
\(821\) | −23.0223 | + | 16.7267i | −0.803484 | + | 0.583765i | −0.911934 | − | 0.410336i | \(-0.865411\pi\) |
0.108450 | + | 0.994102i | \(0.465411\pi\) | |||||||
\(822\) | −4.68712 | − | 1.85444i | −0.163482 | − | 0.0646812i | ||||
\(823\) | −11.7166 | + | 22.9952i | −0.408416 | + | 0.801561i | −0.999989 | − | 0.00469027i | \(-0.998507\pi\) |
0.591573 | + | 0.806251i | \(0.298507\pi\) | |||||||
\(824\) | 1.61031 | − | 2.07912i | 0.0560978 | − | 0.0724297i | ||||
\(825\) | 5.12778 | + | 7.83801i | 0.178526 | + | 0.272884i | ||||
\(826\) | 2.78635 | − | 12.4796i | 0.0969494 | − | 0.434222i | ||||
\(827\) | 31.5437 | + | 16.0723i | 1.09688 | + | 0.558890i | 0.906238 | − | 0.422769i | \(-0.138942\pi\) |
0.190646 | + | 0.981659i | \(0.438942\pi\) | |||||||
\(828\) | −9.50873 | − | 6.45538i | −0.330451 | − | 0.224340i | ||||
\(829\) | −1.71197 | − | 2.35633i | −0.0594593 | − | 0.0818387i | 0.778252 | − | 0.627952i | \(-0.216107\pi\) |
−0.837711 | + | 0.546114i | \(0.816107\pi\) | |||||||
\(830\) | 16.0469 | + | 32.1702i | 0.556997 | + | 1.11664i | ||||
\(831\) | 1.35783 | − | 1.86889i | 0.0471026 | − | 0.0648312i | ||||
\(832\) | 2.09771 | − | 3.55885i | 0.0727249 | − | 0.123381i | ||||
\(833\) | 25.2834 | − | 4.00450i | 0.876018 | − | 0.138748i | ||||
\(834\) | −10.5084 | + | 17.7785i | −0.363875 | + | 0.615621i | ||||
\(835\) | −10.2597 | + | 23.1489i | −0.355053 | + | 0.801100i | ||||
\(836\) | 0.0718374 | − | 0.570880i | 0.00248455 | − | 0.0197443i | ||||
\(837\) | −7.45795 | + | 3.80001i | −0.257784 | + | 0.131348i | ||||
\(838\) | 3.60572 | + | 14.0292i | 0.124558 | + | 0.484632i | ||||
\(839\) | −12.7268 | − | 39.1691i | −0.439378 | − | 1.35227i | −0.888533 | − | 0.458813i | \(-0.848275\pi\) |
0.449155 | − | 0.893454i | \(-0.351725\pi\) | |||||||
\(840\) | 3.76333 | + | 1.80806i | 0.129847 | + | 0.0623839i | ||||
\(841\) | 4.63969 | − | 14.2795i | 0.159989 | − | 0.492396i | ||||
\(842\) | 6.04147 | + | 0.378625i | 0.208203 | + | 0.0130483i | ||||
\(843\) | −11.7461 | − | 11.7461i | −0.404557 | − | 0.404557i | ||||
\(844\) | 21.2502 | + | 38.6095i | 0.731461 | + | 1.32900i | ||||
\(845\) | −10.2486 | − | 26.5642i | −0.352561 | − | 0.913837i | ||||
\(846\) | 9.89459 | − | 4.28462i | 0.340183 | − | 0.147308i | ||||
\(847\) | −0.773577 | + | 4.88418i | −0.0265804 | + | 0.167822i | ||||
\(848\) | −3.02620 | − | 13.4770i | −0.103920 | − | 0.462801i | ||||
\(849\) | − | 23.5972i | − | 0.809855i | ||||||
\(850\) | −27.4037 | − | 3.07023i | −0.939940 | − | 0.105308i | ||||
\(851\) | 1.49889i | 0.0513812i | ||||||||
\(852\) | 8.98918 | − | 6.97971i | 0.307964 | − | 0.239121i | ||||
\(853\) | 7.56246 | − | 47.7475i | 0.258934 | − | 1.63484i | −0.424925 | − | 0.905229i | \(-0.639699\pi\) |
0.683858 | − | 0.729615i | \(-0.260301\pi\) | |||||||
\(854\) | −0.968133 | − | 2.23573i | −0.0331288 | − | 0.0765053i | ||||
\(855\) | 0.342907 | − | 0.0185517i | 0.0117272 | − | 0.000634454i | ||||
\(856\) | 14.7338 | + | 50.5766i | 0.503591 | + | 1.72867i | ||||
\(857\) | −26.6869 | − | 26.6869i | −0.911607 | − | 0.911607i | 0.0847915 | − | 0.996399i | \(-0.472978\pi\) |
−0.996399 | + | 0.0847915i | \(0.972978\pi\) | |||||||
\(858\) | 0.0855665 | − | 1.36533i | 0.00292119 | − | 0.0466115i | ||||
\(859\) | −14.2973 | + | 44.0026i | −0.487818 | + | 1.50135i | 0.340041 | + | 0.940411i | \(0.389559\pi\) |
−0.827858 | + | 0.560937i | \(0.810441\pi\) | |||||||
\(860\) | 3.11167 | + | 7.35754i | 0.106107 | + | 0.250890i | ||||
\(861\) | −1.99936 | − | 6.15340i | −0.0681380 | − | 0.209707i | ||||
\(862\) | −20.5046 | + | 5.26998i | −0.698388 | + | 0.179496i | ||||
\(863\) | 23.9287 | − | 12.1923i | 0.814542 | − | 0.415030i | 0.00348274 | − | 0.999994i | \(-0.498891\pi\) |
0.811059 | + | 0.584964i | \(0.198891\pi\) | |||||||
\(864\) | −4.00485 | − | 3.99514i | −0.136248 | − | 0.135918i | ||||
\(865\) | 24.9356 | − | 14.4528i | 0.847835 | − | 0.491409i | ||||
\(866\) | 14.3179 | + | 8.46287i | 0.486541 | + | 0.287580i | ||||
\(867\) | 1.77013 | − | 0.280361i | 0.0601169 | − | 0.00952157i | ||||
\(868\) | −10.3960 | + | 3.74850i | −0.352864 | + | 0.127232i | ||||
\(869\) | 5.69279 | − | 7.83545i | 0.193115 | − | 0.265799i | ||||
\(870\) | −8.29059 | − | 8.43343i | −0.281077 | − | 0.285920i | ||||
\(871\) | −0.152296 | − | 0.209617i | −0.00516035 | − | 0.00710262i | ||||
\(872\) | 20.0150 | − | 18.8228i | 0.677793 | − | 0.637419i | ||||
\(873\) | 12.1186 | + | 6.17472i | 0.410152 | + | 0.208983i | ||||
\(874\) | −1.21809 | − | 0.271965i | −0.0412025 | − | 0.00919934i | ||||
\(875\) | −5.94902 | + | 4.36843i | −0.201114 | + | 0.147680i | ||||
\(876\) | −13.6817 | + | 29.1118i | −0.462263 | + | 0.983597i | ||||
\(877\) | 17.0566 | − | 33.4755i | 0.575961 | − | 1.13039i | −0.400822 | − | 0.916156i | \(-0.631276\pi\) |
0.976783 | − | 0.214231i | \(-0.0687244\pi\) | |||||||
\(878\) | −10.9433 | + | 27.6592i | −0.369318 | + | 0.933452i | ||||
\(879\) | −21.3624 | + | 15.5207i | −0.720536 | + | 0.523500i | ||||
\(880\) | −1.97003 | − | 16.6388i | −0.0664098 | − | 0.560894i | ||||
\(881\) | 3.23012 | + | 2.34682i | 0.108826 | + | 0.0790665i | 0.640867 | − | 0.767652i | \(-0.278575\pi\) |
−0.532041 | + | 0.846718i | \(0.678575\pi\) | |||||||
\(882\) | −7.83685 | + | 4.97608i | −0.263880 | + | 0.167553i | ||||
\(883\) | 5.84617 | + | 36.9112i | 0.196739 | + | 1.24216i | 0.866345 | + | 0.499446i | \(0.166463\pi\) |
−0.669606 | + | 0.742716i | \(0.733537\pi\) | |||||||
\(884\) | 2.93726 | + | 2.75559i | 0.0987908 | + | 0.0926806i | ||||
\(885\) | −15.3580 | − | 26.4973i | −0.516252 | − | 0.890697i | ||||
\(886\) | −2.76374 | − | 29.1618i | −0.0928497 | − | 0.979710i | ||||
\(887\) | −13.5155 | − | 26.5256i | −0.453805 | − | 0.890643i | −0.998642 | − | 0.0521008i | \(-0.983408\pi\) |
0.544836 | − | 0.838542i | \(-0.316592\pi\) | |||||||
\(888\) | −0.137714 | + | 0.724789i | −0.00462138 | + | 0.0243223i | ||||
\(889\) | −1.29424 | + | 0.420525i | −0.0434076 | + | 0.0141040i | ||||
\(890\) | −46.3661 | + | 33.0856i | −1.55419 | + | 1.10903i | ||||
\(891\) | −1.78159 | − | 0.578872i | −0.0596854 | − | 0.0193930i | ||||
\(892\) | 40.9221 | + | 11.8674i | 1.37017 | + | 0.397351i | ||||
\(893\) | 0.827966 | − | 0.827966i | 0.0277068 | − | 0.0277068i | ||||
\(894\) | −17.6564 | + | 15.5738i | −0.590517 | + | 0.520866i | ||||
\(895\) | −0.844558 | − | 15.6107i | −0.0282305 | − | 0.521808i | ||||
\(896\) | −4.58763 | − | 5.89364i | −0.153262 | − | 0.196893i | ||||
\(897\) | −2.93086 | − | 0.464202i | −0.0978584 | − | 0.0154993i | ||||
\(898\) | −15.2994 | + | 18.5029i | −0.510547 | + | 0.617450i | ||||
\(899\) | 31.3026 | 1.04400 | ||||||||
\(900\) | 9.56196 | − | 2.92727i | 0.318732 | − | 0.0975758i | ||||
\(901\) | 13.4663 | 0.448626 | ||||||||
\(902\) | −16.5457 | + | 20.0102i | −0.550912 | + | 0.666267i | ||||
\(903\) | 1.16469 | + | 0.184468i | 0.0387584 | + | 0.00613872i | ||||
\(904\) | −26.3995 | − | 0.810401i | −0.878036 | − | 0.0269535i | ||||
\(905\) | 3.88134 | − | 1.49743i | 0.129020 | − | 0.0497763i | ||||
\(906\) | −4.16699 | + | 3.67550i | −0.138439 | + | 0.122110i | ||||
\(907\) | −37.1010 | + | 37.1010i | −1.23192 | + | 1.23192i | −0.268690 | + | 0.963227i | \(0.586591\pi\) |
−0.963227 | + | 0.268690i | \(0.913409\pi\) | |||||||
\(908\) | −11.6446 | + | 40.1538i | −0.386441 | + | 1.33255i | ||||
\(909\) | 8.45900 | + | 2.74850i | 0.280567 | + | 0.0911619i | ||||
\(910\) | 1.07795 | + | 0.00920654i | 0.0357335 | + | 0.000305194i | ||||
\(911\) | 3.25932 | − | 1.05902i | 0.107986 | − | 0.0350868i | −0.254526 | − | 0.967066i | \(-0.581919\pi\) |
0.362512 | + | 0.931979i | \(0.381919\pi\) | |||||||
\(912\) | −0.564020 | − | 0.243424i | −0.0186766 | − | 0.00806056i | ||||
\(913\) | −9.66829 | − | 18.9751i | −0.319974 | − | 0.627984i | ||||
\(914\) | −1.76228 | − | 18.5949i | −0.0582912 | − | 0.615063i | ||||
\(915\) | −5.33489 | − | 2.36446i | −0.176366 | − | 0.0781666i | ||||
\(916\) | 24.5600 | − | 26.1792i | 0.811484 | − | 0.864984i | ||||
\(917\) | 0.919156 | + | 5.80332i | 0.0303532 | + | 0.191643i | ||||
\(918\) | 4.65578 | − | 2.95623i | 0.153664 | − | 0.0975702i | ||||
\(919\) | −26.6419 | − | 19.3564i | −0.878834 | − | 0.638510i | 0.0541091 | − | 0.998535i | \(-0.482768\pi\) |
−0.932943 | + | 0.360025i | \(0.882768\pi\) | |||||||
\(920\) | −36.3340 | + | 0.848941i | −1.19790 | + | 0.0279888i | ||||
\(921\) | 0.953743 | − | 0.692935i | 0.0314269 | − | 0.0228330i | ||||
\(922\) | −16.2478 | + | 41.0663i | −0.535092 | + | 1.35245i | ||||
\(923\) | 1.33402 | − | 2.61815i | 0.0439097 | − | 0.0861776i | ||||
\(924\) | −2.23839 | − | 1.05198i | −0.0736375 | − | 0.0346075i | ||||
\(925\) | −1.01630 | − | 0.817320i | −0.0334159 | − | 0.0268733i | ||||
\(926\) | 14.3921 | + | 3.21335i | 0.472954 | + | 0.105597i | ||||
\(927\) | −0.828436 | − | 0.422109i | −0.0272094 | − | 0.0138639i | ||||
\(928\) | 6.56172 | + | 20.1118i | 0.215399 | + | 0.660203i | ||||
\(929\) | −15.8166 | − | 21.7697i | −0.518927 | − | 0.714241i | 0.466466 | − | 0.884539i | \(-0.345527\pi\) |
−0.985393 | + | 0.170298i | \(0.945527\pi\) | |||||||
\(930\) | −12.2177 | + | 23.4806i | −0.400633 | + | 0.769959i | ||||
\(931\) | −0.592552 | + | 0.815578i | −0.0194201 | + | 0.0267295i | ||||
\(932\) | −4.19871 | − | 11.6446i | −0.137533 | − | 0.381433i | ||||
\(933\) | −22.6246 | + | 3.58338i | −0.740696 | + | 0.117315i | ||||
\(934\) | 18.4949 | + | 10.9318i | 0.605173 | + | 0.357700i | ||||
\(935\) | 16.2484 | + | 1.68003i | 0.531378 | + | 0.0549430i | ||||
\(936\) | −1.37457 | − | 0.493745i | −0.0449292 | − | 0.0161386i | ||||
\(937\) | 15.3946 | − | 7.84392i | 0.502918 | − | 0.256250i | −0.184077 | − | 0.982912i | \(-0.558929\pi\) |
0.686995 | + | 0.726662i | \(0.258929\pi\) | |||||||
\(938\) | −0.453693 | + | 0.116606i | −0.0148136 | + | 0.00380731i | ||||
\(939\) | −5.05200 | − | 15.5485i | −0.164866 | − | 0.507405i | ||||
\(940\) | 17.5997 | − | 29.2037i | 0.574040 | − | 0.952521i | ||||
\(941\) | 5.08360 | − | 15.6457i | 0.165721 | − | 0.510036i | −0.833368 | − | 0.552719i | \(-0.813590\pi\) |
0.999089 | + | 0.0426828i | \(0.0135905\pi\) | |||||||
\(942\) | −1.94345 | + | 31.0103i | −0.0633210 | + | 1.01037i | ||||
\(943\) | 39.8250 | + | 39.8250i | 1.29688 | + | 1.29688i | ||||
\(944\) | 3.49312 | + | 54.6746i | 0.113691 | + | 1.77951i | ||||
\(945\) | 0.379642 | − | 1.42648i | 0.0123498 | − | 0.0464033i | ||||
\(946\) | −1.88045 | − | 4.34256i | −0.0611385 | − | 0.141189i | ||||
\(947\) | −1.77920 | + | 11.2334i | −0.0578162 | + | 0.365037i | 0.941770 | + | 0.336259i | \(0.109162\pi\) |
−0.999586 | + | 0.0287784i | \(0.990838\pi\) | |||||||
\(948\) | −6.34164 | − | 8.16741i | −0.205967 | − | 0.265265i | ||||
\(949\) | 8.30515i | 0.269597i | ||||||||
\(950\) | 0.848606 | − | 0.677613i | 0.0275324 | − | 0.0219847i | ||||
\(951\) | − | 13.2989i | − | 0.431245i | ||||||
\(952\) | 6.58620 | − | 3.10509i | 0.213460 | − | 0.100636i | ||||
\(953\) | −2.72091 | + | 17.1791i | −0.0881389 | + | 0.556487i | 0.903617 | + | 0.428342i | \(0.140902\pi\) |
−0.991755 | + | 0.128145i | \(0.959098\pi\) | |||||||
\(954\) | −4.48136 | + | 1.94055i | −0.145089 | + | 0.0628276i | ||||
\(955\) | −6.96593 | + | 5.66040i | −0.225412 | + | 0.183166i | ||||
\(956\) | −7.62582 | + | 4.19715i | −0.246637 | + | 0.135745i | ||||
\(957\) | 4.95367 | + | 4.95367i | 0.160129 | + | 0.160129i | ||||
\(958\) | −41.1723 | − | 2.58031i | −1.33022 | − | 0.0833661i | ||||
\(959\) | −0.727097 | + | 2.23778i | −0.0234792 | + | 0.0722615i | ||||
\(960\) | −17.6473 | − | 2.92777i | −0.569565 | − | 0.0944933i | ||||
\(961\) | −12.0705 | − | 37.1493i | −0.389372 | − | 1.19836i | ||||
\(962\) | 0.0474159 | + | 0.184487i | 0.00152875 | + | 0.00594809i | ||||
\(963\) | 16.5949 | − | 8.45550i | 0.534762 | − | 0.272475i | ||||
\(964\) | −3.65354 | − | 0.459747i | −0.117672 | − | 0.0148075i | ||||
\(965\) | 4.90320 | + | 22.8777i | 0.157840 | + | 0.736460i | ||||
\(966\) | −2.72980 | + | 4.61840i | −0.0878300 | + | 0.148595i | ||||
\(967\) | 41.9267 | − | 6.64054i | 1.34827 | − | 0.213545i | 0.559807 | − | 0.828623i | \(-0.310875\pi\) |
0.788466 | + | 0.615078i | \(0.210875\pi\) | |||||||
\(968\) | −2.67078 | − | 21.0183i | −0.0858422 | − | 0.675555i | ||||
\(969\) | 0.352028 | − | 0.484526i | 0.0113088 | − | 0.0155652i | ||||
\(970\) | 42.5365 | − | 6.36522i | 1.36577 | − | 0.204375i | ||||
\(971\) | −18.3672 | − | 25.2803i | −0.589433 | − | 0.811284i | 0.405257 | − | 0.914203i | \(-0.367182\pi\) |
−0.994690 | + | 0.102918i | \(0.967182\pi\) | |||||||
\(972\) | −1.12336 | + | 1.65471i | −0.0360319 | + | 0.0530747i | ||||
\(973\) | 8.58947 | + | 4.37656i | 0.275366 | + | 0.140306i | ||||
\(974\) | 6.70201 | − | 30.0173i | 0.214746 | − | 0.961815i | ||||
\(975\) | 1.91290 | − | 1.73411i | 0.0612617 | − | 0.0555360i | ||||
\(976\) | 6.66165 | + | 8.03666i | 0.213234 | + | 0.257247i | ||||
\(977\) | −7.56711 | + | 14.8513i | −0.242093 | + | 0.475135i | −0.979798 | − | 0.199988i | \(-0.935910\pi\) |
0.737705 | + | 0.675123i | \(0.235910\pi\) | |||||||
\(978\) | 2.71100 | + | 1.07260i | 0.0866881 | + | 0.0342979i | ||||
\(979\) | 27.2980 | − | 19.8331i | 0.872446 | − | 0.633869i | ||||
\(980\) | −11.0328 | + | 27.2039i | −0.352430 | + | 0.868998i | ||||
\(981\) | −7.85880 | − | 5.70975i | −0.250912 | − | 0.182298i | ||||
\(982\) | −25.3377 | − | 39.9044i | −0.808558 | − | 1.27340i | ||||
\(983\) | −3.01738 | − | 19.0510i | −0.0962394 | − | 0.607632i | −0.987920 | − | 0.154966i | \(-0.950473\pi\) |
0.891680 | − | 0.452666i | \(-0.149527\pi\) | |||||||
\(984\) | 15.5984 | + | 22.9164i | 0.497258 | + | 0.730549i | ||||
\(985\) | 28.9353 | − | 32.2453i | 0.921956 | − | 1.02742i | ||||
\(986\) | −20.5328 | + | 1.94595i | −0.653897 | + | 0.0619716i | ||||
\(987\) | −2.28501 | − | 4.48459i | −0.0727327 | − | 0.142746i | ||||
\(988\) | −0.158529 | + | 0.00505898i | −0.00504347 | + | 0.000160948i | ||||
\(989\) | −9.76242 | + | 3.17200i | −0.310427 | + | 0.100864i | ||||
\(990\) | −5.64930 | + | 1.78237i | −0.179546 | + | 0.0566475i | ||||
\(991\) | −15.5798 | − | 5.06219i | −0.494909 | − | 0.160806i | 0.0509192 | − | 0.998703i | \(-0.483785\pi\) |
−0.545828 | + | 0.837897i | \(0.683785\pi\) | |||||||
\(992\) | 38.2726 | − | 27.8777i | 1.21516 | − | 0.885117i | ||||
\(993\) | 12.7999 | − | 12.7999i | 0.406193 | − | 0.406193i | ||||
\(994\) | −3.51416 | − | 3.98409i | −0.111463 | − | 0.126368i | ||||
\(995\) | −31.8930 | + | 49.2929i | −1.01107 | + | 1.56269i | ||||
\(996\) | −22.3322 | + | 4.27132i | −0.707622 | + | 0.135342i | ||||
\(997\) | −16.0054 | − | 2.53500i | −0.506895 | − | 0.0802842i | −0.102251 | − | 0.994759i | \(-0.532604\pi\) |
−0.404644 | + | 0.914474i | \(0.632604\pi\) | |||||||
\(998\) | 37.7354 | + | 31.2020i | 1.19449 | + | 0.987683i | ||||
\(999\) | 0.260836 | 0.00825249 |
(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 | 300.2.w.a.67.25 | yes | 240 | |
3.2 | odd | 2 | 900.2.bj.f.667.6 | 240 | |||
4.3 | odd | 2 | inner | 300.2.w.a.67.4 | ✓ | 240 | |
12.11 | even | 2 | 900.2.bj.f.667.27 | 240 | |||
25.3 | odd | 20 | inner | 300.2.w.a.103.4 | yes | 240 | |
75.53 | even | 20 | 900.2.bj.f.703.27 | 240 | |||
100.3 | even | 20 | inner | 300.2.w.a.103.25 | yes | 240 | |
300.203 | odd | 20 | 900.2.bj.f.703.6 | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.w.a.67.4 | ✓ | 240 | 4.3 | odd | 2 | inner | |
300.2.w.a.67.25 | yes | 240 | 1.1 | even | 1 | trivial | |
300.2.w.a.103.4 | yes | 240 | 25.3 | odd | 20 | inner | |
300.2.w.a.103.25 | yes | 240 | 100.3 | even | 20 | inner | |
900.2.bj.f.667.6 | 240 | 3.2 | odd | 2 | |||
900.2.bj.f.667.27 | 240 | 12.11 | even | 2 | |||
900.2.bj.f.703.6 | 240 | 300.203 | odd | 20 | |||
900.2.bj.f.703.27 | 240 | 75.53 | even | 20 |