Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(185,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 1, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.185");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.u (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(76\) |
Relative dimension: | \(38\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 185.17 | ||
Character | \(\chi\) | \(=\) | 546.185 |
Dual form | 546.2.u.a.425.17 |
$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.866025 | − | 0.500000i | −0.612372 | − | 0.353553i | ||||
\(3\) | 1.62717 | + | 0.593575i | 0.939445 | + | 0.342701i | ||||
\(4\) | 0.500000 | + | 0.866025i | 0.250000 | + | 0.433013i | ||||
\(5\) | 1.76347 | + | 3.05441i | 0.788646 | + | 1.36597i | 0.926797 | + | 0.375563i | \(0.122551\pi\) |
−0.138151 | + | 0.990411i | \(0.544116\pi\) | |||||||
\(6\) | −1.11238 | − | 1.32763i | −0.454127 | − | 0.542004i | ||||
\(7\) | 1.45770 | + | 2.20797i | 0.550959 | + | 0.834533i | ||||
\(8\) | − | 1.00000i | − | 0.353553i | ||||||
\(9\) | 2.29534 | + | 1.93169i | 0.765112 | + | 0.643897i | ||||
\(10\) | − | 3.52693i | − | 1.11531i | ||||||
\(11\) | − | 5.58476i | − | 1.68387i | −0.539580 | − | 0.841935i | \(-0.681417\pi\) | ||
0.539580 | − | 0.841935i | \(-0.318583\pi\) | |||||||
\(12\) | 0.299532 | + | 1.70595i | 0.0864673 | + | 0.492467i | ||||
\(13\) | 1.38855 | − | 3.32745i | 0.385115 | − | 0.922869i | ||||
\(14\) | −0.158422 | − | 2.64100i | −0.0423401 | − | 0.705838i | ||||
\(15\) | 1.05643 | + | 6.01678i | 0.272768 | + | 1.55353i | ||||
\(16\) | −0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | ||||
\(17\) | −1.37527 | − | 2.38204i | −0.333553 | − | 0.577731i | 0.649653 | − | 0.760231i | \(-0.274914\pi\) |
−0.983206 | + | 0.182500i | \(0.941581\pi\) | |||||||
\(18\) | −1.02197 | − | 2.82056i | −0.240882 | − | 0.664813i | ||||
\(19\) | 7.22955i | 1.65857i | 0.558823 | + | 0.829287i | \(0.311253\pi\) | ||||
−0.558823 | + | 0.829287i | \(0.688747\pi\) | |||||||
\(20\) | −1.76347 | + | 3.05441i | −0.394323 | + | 0.682987i | ||||
\(21\) | 1.06133 | + | 4.45798i | 0.231600 | + | 0.972811i | ||||
\(22\) | −2.79238 | + | 4.83655i | −0.595338 | + | 1.03116i | ||||
\(23\) | −3.91643 | − | 2.26115i | −0.816632 | − | 0.471483i | 0.0326214 | − | 0.999468i | \(-0.489614\pi\) |
−0.849254 | + | 0.527985i | \(0.822948\pi\) | |||||||
\(24\) | 0.593575 | − | 1.62717i | 0.121163 | − | 0.332144i | ||||
\(25\) | −3.71962 | + | 6.44257i | −0.743924 | + | 1.28851i | ||||
\(26\) | −2.86625 | + | 2.18738i | −0.562117 | + | 0.428981i | ||||
\(27\) | 2.58829 | + | 4.50564i | 0.498117 | + | 0.867110i | ||||
\(28\) | −1.18330 | + | 2.36639i | −0.223624 | + | 0.447205i | ||||
\(29\) | −0.473303 | + | 0.273262i | −0.0878902 | + | 0.0507435i | −0.543301 | − | 0.839538i | \(-0.682826\pi\) |
0.455411 | + | 0.890281i | \(0.349492\pi\) | |||||||
\(30\) | 2.09350 | − | 5.73890i | 0.382219 | − | 1.04778i | ||||
\(31\) | −1.25106 | − | 0.722302i | −0.224698 | − | 0.129729i | 0.383426 | − | 0.923572i | \(-0.374744\pi\) |
−0.608124 | + | 0.793842i | \(0.708077\pi\) | |||||||
\(32\) | 0.866025 | − | 0.500000i | 0.153093 | − | 0.0883883i | ||||
\(33\) | 3.31498 | − | 9.08733i | 0.577063 | − | 1.58190i | ||||
\(34\) | 2.75055i | 0.471715i | ||||||||
\(35\) | −4.17343 | + | 8.34609i | −0.705439 | + | 1.41075i | ||||
\(36\) | −0.525225 | + | 2.95367i | −0.0875375 | + | 0.492278i | ||||
\(37\) | 1.35222 | − | 2.34212i | 0.222304 | − | 0.385042i | −0.733203 | − | 0.680010i | \(-0.761976\pi\) |
0.955507 | + | 0.294968i | \(0.0953090\pi\) | |||||||
\(38\) | 3.61478 | − | 6.26098i | 0.586394 | − | 1.01566i | ||||
\(39\) | 4.23450 | − | 4.59010i | 0.678062 | − | 0.735005i | ||||
\(40\) | 3.05441 | − | 1.76347i | 0.482945 | − | 0.278828i | ||||
\(41\) | −3.63062 | − | 6.28842i | −0.567008 | − | 0.982086i | −0.996860 | − | 0.0791869i | \(-0.974768\pi\) |
0.429852 | − | 0.902899i | \(-0.358566\pi\) | |||||||
\(42\) | 1.30986 | − | 4.39139i | 0.202115 | − | 0.677606i | ||||
\(43\) | 0.0709937 | − | 0.122965i | 0.0108264 | − | 0.0187519i | −0.860561 | − | 0.509347i | \(-0.829887\pi\) |
0.871388 | + | 0.490595i | \(0.163220\pi\) | |||||||
\(44\) | 4.83655 | − | 2.79238i | 0.729137 | − | 0.420967i | ||||
\(45\) | −1.85243 | + | 10.4174i | −0.276144 | + | 1.55293i | ||||
\(46\) | 2.26115 | + | 3.91643i | 0.333389 | + | 0.577446i | ||||
\(47\) | 1.96371 | + | 3.40124i | 0.286436 | + | 0.496122i | 0.972956 | − | 0.230989i | \(-0.0741961\pi\) |
−0.686520 | + | 0.727110i | \(0.740863\pi\) | |||||||
\(48\) | −1.32763 | + | 1.11238i | −0.191627 | + | 0.160558i | ||||
\(49\) | −2.75022 | + | 6.43710i | −0.392889 | + | 0.919586i | ||||
\(50\) | 6.44257 | − | 3.71962i | 0.911118 | − | 0.526034i | ||||
\(51\) | −0.823876 | − | 4.69231i | −0.115366 | − | 0.657055i | ||||
\(52\) | 3.57593 | − | 0.461204i | 0.495893 | − | 0.0639574i | ||||
\(53\) | −9.33624 | − | 5.39028i | −1.28243 | − | 0.740412i | −0.305139 | − | 0.952308i | \(-0.598703\pi\) |
−0.977292 | + | 0.211896i | \(0.932036\pi\) | |||||||
\(54\) | 0.0112934 | − | 5.19614i | 0.00153683 | − | 0.707105i | ||||
\(55\) | 17.0582 | − | 9.84854i | 2.30012 | − | 1.32798i | ||||
\(56\) | 2.20797 | − | 1.45770i | 0.295052 | − | 0.194793i | ||||
\(57\) | −4.29128 | + | 11.7637i | −0.568395 | + | 1.55814i | ||||
\(58\) | 0.546524 | 0.0717621 | ||||||||
\(59\) | 3.71440 | + | 6.43353i | 0.483574 | + | 0.837574i | 0.999822 | − | 0.0188647i | \(-0.00600517\pi\) |
−0.516248 | + | 0.856439i | \(0.672672\pi\) | |||||||
\(60\) | −4.68247 | + | 3.92329i | −0.604505 | + | 0.506494i | ||||
\(61\) | − | 12.4949i | − | 1.59981i | −0.600124 | − | 0.799907i | \(-0.704882\pi\) | ||
0.600124 | − | 0.799907i | \(-0.295118\pi\) | |||||||
\(62\) | 0.722302 | + | 1.25106i | 0.0917324 | + | 0.158885i | ||||
\(63\) | −0.919194 | + | 7.88385i | −0.115808 | + | 0.993272i | ||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | 12.6121 | − | 1.62663i | 1.56433 | − | 0.201759i | ||||
\(66\) | −7.41452 | + | 6.21237i | −0.912664 | + | 0.764690i | ||||
\(67\) | −10.5200 | −1.28522 | −0.642608 | − | 0.766195i | \(-0.722148\pi\) | ||||
−0.642608 | + | 0.766195i | \(0.722148\pi\) | |||||||
\(68\) | 1.37527 | − | 2.38204i | 0.166776 | − | 0.288865i | ||||
\(69\) | −5.03052 | − | 6.00397i | −0.605603 | − | 0.722793i | ||||
\(70\) | 7.78734 | − | 5.14121i | 0.930765 | − | 0.614492i | ||||
\(71\) | 1.01248 | + | 0.584557i | 0.120159 | + | 0.0693741i | 0.558875 | − | 0.829252i | \(-0.311233\pi\) |
−0.438716 | + | 0.898626i | \(0.644566\pi\) | |||||||
\(72\) | 1.93169 | − | 2.29534i | 0.227652 | − | 0.270508i | ||||
\(73\) | 11.2019 | + | 6.46743i | 1.31109 | + | 0.756956i | 0.982276 | − | 0.187441i | \(-0.0600192\pi\) |
0.328810 | + | 0.944396i | \(0.393353\pi\) | |||||||
\(74\) | −2.34212 | + | 1.35222i | −0.272266 | + | 0.157193i | ||||
\(75\) | −9.87659 | + | 8.27526i | −1.14045 | + | 0.955545i | ||||
\(76\) | −6.26098 | + | 3.61478i | −0.718183 | + | 0.414643i | ||||
\(77\) | 12.3310 | − | 8.14091i | 1.40524 | − | 0.927742i | ||||
\(78\) | −5.96223 | + | 1.85790i | −0.675090 | + | 0.210365i | ||||
\(79\) | −4.47939 | − | 7.75854i | −0.503971 | − | 0.872904i | −0.999989 | − | 0.00459152i | \(-0.998538\pi\) |
0.496018 | − | 0.868312i | \(-0.334795\pi\) | |||||||
\(80\) | −3.52693 | −0.394323 | ||||||||
\(81\) | 1.53714 | + | 8.86776i | 0.170794 | + | 0.985307i | ||||
\(82\) | 7.26124i | 0.801870i | ||||||||
\(83\) | 3.92570 | 0.430901 | 0.215451 | − | 0.976515i | \(-0.430878\pi\) | ||||
0.215451 | + | 0.976515i | \(0.430878\pi\) | |||||||
\(84\) | −3.33006 | + | 3.14812i | −0.363339 | + | 0.343489i | ||||
\(85\) | 4.85050 | − | 8.40131i | 0.526110 | − | 0.911249i | ||||
\(86\) | −0.122965 | + | 0.0709937i | −0.0132596 | + | 0.00765544i | ||||
\(87\) | −0.932345 | + | 0.163701i | −0.0999578 | + | 0.0175506i | ||||
\(88\) | −5.58476 | −0.595338 | ||||||||
\(89\) | 0.677113 | − | 1.17279i | 0.0717739 | − | 0.124316i | −0.827905 | − | 0.560868i | \(-0.810467\pi\) |
0.899679 | + | 0.436552i | \(0.143801\pi\) | |||||||
\(90\) | 6.81294 | − | 8.09550i | 0.718147 | − | 0.853340i | ||||
\(91\) | 9.37099 | − | 1.78455i | 0.982346 | − | 0.187071i | ||||
\(92\) | − | 4.52231i | − | 0.471483i | ||||||
\(93\) | −1.60695 | − | 1.91790i | −0.166633 | − | 0.198877i | ||||
\(94\) | − | 3.92741i | − | 0.405082i | ||||||
\(95\) | −22.0820 | + | 12.7491i | −2.26557 | + | 1.30803i | ||||
\(96\) | 1.70595 | − | 0.299532i | 0.174113 | − | 0.0305708i | ||||
\(97\) | 11.1130 | + | 6.41610i | 1.12836 | + | 0.651456i | 0.943521 | − | 0.331313i | \(-0.107492\pi\) |
0.184835 | + | 0.982770i | \(0.440825\pi\) | |||||||
\(98\) | 5.60031 | − | 4.19958i | 0.565717 | − | 0.424222i | ||||
\(99\) | 10.7880 | − | 12.8189i | 1.08424 | − | 1.28835i | ||||
\(100\) | −7.43924 | −0.743924 | ||||||||
\(101\) | −7.73029 | −0.769192 | −0.384596 | − | 0.923085i | \(-0.625659\pi\) | ||||
−0.384596 | + | 0.923085i | \(0.625659\pi\) | |||||||
\(102\) | −1.63266 | + | 4.47560i | −0.161657 | + | 0.443150i | ||||
\(103\) | −2.85313 | + | 1.64725i | −0.281127 | + | 0.162309i | −0.633933 | − | 0.773388i | \(-0.718561\pi\) |
0.352807 | + | 0.935696i | \(0.385227\pi\) | |||||||
\(104\) | −3.32745 | − | 1.38855i | −0.326283 | − | 0.136159i | ||||
\(105\) | −11.7449 | + | 11.1032i | −1.14618 | + | 1.08356i | ||||
\(106\) | 5.39028 | + | 9.33624i | 0.523550 | + | 0.906815i | ||||
\(107\) | 1.30919 | + | 0.755862i | 0.126564 | + | 0.0730719i | 0.561945 | − | 0.827174i | \(-0.310053\pi\) |
−0.435381 | + | 0.900246i | \(0.643386\pi\) | |||||||
\(108\) | −2.60785 | + | 4.49434i | −0.250941 | + | 0.432468i | ||||
\(109\) | 5.99142 | − | 10.3775i | 0.573874 | − | 0.993979i | −0.422289 | − | 0.906461i | \(-0.638773\pi\) |
0.996163 | − | 0.0875181i | \(-0.0278935\pi\) | |||||||
\(110\) | −19.6971 | −1.87804 | ||||||||
\(111\) | 3.59051 | − | 3.00837i | 0.340796 | − | 0.285542i | ||||
\(112\) | −2.64100 | + | 0.158422i | −0.249551 | + | 0.0149695i | ||||
\(113\) | −3.57873 | − | 2.06618i | −0.336659 | − | 0.194370i | 0.322135 | − | 0.946694i | \(-0.395600\pi\) |
−0.658793 | + | 0.752324i | \(0.728933\pi\) | |||||||
\(114\) | 9.59820 | − | 8.04201i | 0.898954 | − | 0.753203i | ||||
\(115\) | − | 15.9499i | − | 1.48733i | ||||||
\(116\) | −0.473303 | − | 0.273262i | −0.0439451 | − | 0.0253717i | ||||
\(117\) | 9.61480 | − | 4.95537i | 0.888888 | − | 0.458124i | ||||
\(118\) | − | 7.42880i | − | 0.683877i | ||||||
\(119\) | 3.25473 | − | 6.50886i | 0.298361 | − | 0.596666i | ||||
\(120\) | 6.01678 | − | 1.05643i | 0.549255 | − | 0.0964382i | ||||
\(121\) | −20.1896 | −1.83542 | ||||||||
\(122\) | −6.24747 | + | 10.8209i | −0.565620 | + | 0.979682i | ||||
\(123\) | −2.17497 | − | 12.3873i | −0.196111 | − | 1.11693i | ||||
\(124\) | − | 1.44460i | − | 0.129729i | ||||||
\(125\) | −8.60304 | −0.769480 | ||||||||
\(126\) | 4.73797 | − | 6.36802i | 0.422092 | − | 0.567308i | ||||
\(127\) | 2.29973 | + | 3.98324i | 0.204068 | + | 0.353456i | 0.949835 | − | 0.312751i | \(-0.101250\pi\) |
−0.745768 | + | 0.666206i | \(0.767917\pi\) | |||||||
\(128\) | 0.866025 | + | 0.500000i | 0.0765466 | + | 0.0441942i | ||||
\(129\) | 0.188507 | − | 0.157944i | 0.0165971 | − | 0.0139062i | ||||
\(130\) | −11.7357 | − | 4.89733i | −1.02929 | − | 0.429524i | ||||
\(131\) | 2.02661 | + | 3.51018i | 0.177065 | + | 0.306686i | 0.940874 | − | 0.338756i | \(-0.110006\pi\) |
−0.763809 | + | 0.645443i | \(0.776673\pi\) | |||||||
\(132\) | 9.52735 | − | 1.67281i | 0.829249 | − | 0.145600i | ||||
\(133\) | −15.9626 | + | 10.5385i | −1.38413 | + | 0.913806i | ||||
\(134\) | 9.11054 | + | 5.25998i | 0.787031 | + | 0.454393i | ||||
\(135\) | −9.19771 | + | 15.8512i | −0.791613 | + | 1.36426i | ||||
\(136\) | −2.38204 | + | 1.37527i | −0.204259 | + | 0.117929i | ||||
\(137\) | 2.30652 | − | 1.33167i | 0.197060 | − | 0.113772i | −0.398224 | − | 0.917288i | \(-0.630373\pi\) |
0.595283 | + | 0.803516i | \(0.297040\pi\) | |||||||
\(138\) | 1.35457 | + | 7.71485i | 0.115309 | + | 0.656731i | ||||
\(139\) | −12.6149 | − | 7.28322i | −1.06998 | − | 0.617755i | −0.141806 | − | 0.989894i | \(-0.545291\pi\) |
−0.928177 | + | 0.372139i | \(0.878624\pi\) | |||||||
\(140\) | −9.31464 | + | 0.558744i | −0.787231 | + | 0.0472225i | ||||
\(141\) | 1.17638 | + | 6.69999i | 0.0990694 | + | 0.564241i | ||||
\(142\) | −0.584557 | − | 1.01248i | −0.0490549 | − | 0.0849656i | ||||
\(143\) | −18.5830 | − | 7.75473i | −1.55399 | − | 0.648483i | ||||
\(144\) | −2.82056 | + | 1.02197i | −0.235047 | + | 0.0851646i | ||||
\(145\) | −1.66931 | − | 0.963776i | −0.138629 | − | 0.0800372i | ||||
\(146\) | −6.46743 | − | 11.2019i | −0.535248 | − | 0.927077i | ||||
\(147\) | −8.29597 | + | 8.84177i | −0.684240 | + | 0.729257i | ||||
\(148\) | 2.70444 | 0.222304 | ||||||||
\(149\) | 7.06203i | 0.578544i | 0.957247 | + | 0.289272i | \(0.0934132\pi\) | ||||
−0.957247 | + | 0.289272i | \(0.906587\pi\) | |||||||
\(150\) | 12.6910 | − | 2.22829i | 1.03622 | − | 0.181939i | ||||
\(151\) | −0.381853 | + | 0.661388i | −0.0310747 | + | 0.0538230i | −0.881145 | − | 0.472847i | \(-0.843226\pi\) |
0.850070 | + | 0.526670i | \(0.176560\pi\) | |||||||
\(152\) | 7.22955 | 0.586394 | ||||||||
\(153\) | 1.44466 | − | 8.12420i | 0.116793 | − | 0.656802i | ||||
\(154\) | −14.7494 | + | 0.884750i | −1.18854 | + | 0.0712952i | ||||
\(155\) | − | 5.09502i | − | 0.409242i | ||||||
\(156\) | 6.09239 | + | 1.37213i | 0.487782 | + | 0.109858i | ||||
\(157\) | −13.9268 | − | 8.04062i | −1.11148 | − | 0.641711i | −0.172265 | − | 0.985051i | \(-0.555108\pi\) |
−0.939211 | + | 0.343340i | \(0.888442\pi\) | |||||||
\(158\) | 8.95879i | 0.712723i | ||||||||
\(159\) | −11.9921 | − | 14.3126i | −0.951033 | − | 1.13507i | ||||
\(160\) | 3.05441 | + | 1.76347i | 0.241472 | + | 0.139414i | ||||
\(161\) | −0.716434 | − | 11.9434i | −0.0564629 | − | 0.941274i | ||||
\(162\) | 3.10268 | − | 8.44828i | 0.243769 | − | 0.663759i | ||||
\(163\) | 7.19256 | 0.563365 | 0.281682 | − | 0.959508i | \(-0.409108\pi\) | ||||
0.281682 | + | 0.959508i | \(0.409108\pi\) | |||||||
\(164\) | 3.63062 | − | 6.28842i | 0.283504 | − | 0.491043i | ||||
\(165\) | 33.6023 | − | 5.89990i | 2.61594 | − | 0.459306i | ||||
\(166\) | −3.39976 | − | 1.96285i | −0.263872 | − | 0.152347i | ||||
\(167\) | −3.75042 | − | 6.49592i | −0.290216 | − | 0.502669i | 0.683644 | − | 0.729815i | \(-0.260394\pi\) |
−0.973861 | + | 0.227146i | \(0.927061\pi\) | |||||||
\(168\) | 4.45798 | − | 1.06133i | 0.343941 | − | 0.0818830i | ||||
\(169\) | −9.14385 | − | 9.24067i | −0.703373 | − | 0.710821i | ||||
\(170\) | −8.40131 | + | 4.85050i | −0.644351 | + | 0.372016i | ||||
\(171\) | −13.9653 | + | 16.5943i | −1.06795 | + | 1.26900i | ||||
\(172\) | 0.141987 | 0.0108264 | ||||||||
\(173\) | 22.0661 | 1.67765 | 0.838827 | − | 0.544398i | \(-0.183242\pi\) | ||||
0.838827 | + | 0.544398i | \(0.183242\pi\) | |||||||
\(174\) | 0.889285 | + | 0.324403i | 0.0674165 | + | 0.0245929i | ||||
\(175\) | −19.6471 | + | 1.17854i | −1.48518 | + | 0.0890894i | ||||
\(176\) | 4.83655 | + | 2.79238i | 0.364568 | + | 0.210484i | ||||
\(177\) | 2.22516 | + | 12.6732i | 0.167253 | + | 0.952576i | ||||
\(178\) | −1.17279 | + | 0.677113i | −0.0879047 | + | 0.0507518i | ||||
\(179\) | 11.1282i | 0.831761i | 0.909419 | + | 0.415881i | \(0.136527\pi\) | ||||
−0.909419 | + | 0.415881i | \(0.863473\pi\) | |||||||
\(180\) | −9.94793 | + | 3.60443i | −0.741475 | + | 0.268659i | ||||
\(181\) | 3.28580i | 0.244232i | 0.992516 | + | 0.122116i | \(0.0389680\pi\) | ||||
−0.992516 | + | 0.122116i | \(0.961032\pi\) | |||||||
\(182\) | −9.00779 | − | 3.14003i | −0.667702 | − | 0.232754i | ||||
\(183\) | 7.41669 | − | 20.3313i | 0.548257 | − | 1.50294i | ||||
\(184\) | −2.26115 | + | 3.91643i | −0.166694 | + | 0.288723i | ||||
\(185\) | 9.53838 | 0.701276 | ||||||||
\(186\) | 0.432704 | + | 2.46443i | 0.0317274 | + | 0.180701i | ||||
\(187\) | −13.3031 | + | 7.68058i | −0.972823 | + | 0.561659i | ||||
\(188\) | −1.96371 | + | 3.40124i | −0.143218 | + | 0.248061i | ||||
\(189\) | −6.17534 | + | 12.2827i | −0.449190 | + | 0.893436i | ||||
\(190\) | 25.4981 | 1.84983 | ||||||||
\(191\) | − | 2.26934i | − | 0.164204i | −0.996624 | − | 0.0821018i | \(-0.973837\pi\) | ||
0.996624 | − | 0.0821018i | \(-0.0261633\pi\) | |||||||
\(192\) | −1.62717 | − | 0.593575i | −0.117431 | − | 0.0428376i | ||||
\(193\) | 16.0127 | 1.15262 | 0.576311 | − | 0.817231i | \(-0.304492\pi\) | ||||
0.576311 | + | 0.817231i | \(0.304492\pi\) | |||||||
\(194\) | −6.41610 | − | 11.1130i | −0.460649 | − | 0.797868i | ||||
\(195\) | 21.4875 | + | 4.83941i | 1.53875 | + | 0.346557i | ||||
\(196\) | −6.94980 | + | 0.836788i | −0.496415 | + | 0.0597705i | ||||
\(197\) | 20.3601 | − | 11.7549i | 1.45060 | − | 0.837503i | 0.452083 | − | 0.891976i | \(-0.350681\pi\) |
0.998515 | + | 0.0544726i | \(0.0173478\pi\) | |||||||
\(198\) | −15.7522 | + | 5.70749i | −1.11946 | + | 0.405613i | ||||
\(199\) | 3.78078 | − | 2.18284i | 0.268013 | − | 0.154737i | −0.359972 | − | 0.932963i | \(-0.617214\pi\) |
0.627984 | + | 0.778226i | \(0.283880\pi\) | |||||||
\(200\) | 6.44257 | + | 3.71962i | 0.455559 | + | 0.263017i | ||||
\(201\) | −17.1177 | − | 6.24438i | −1.20739 | − | 0.440445i | ||||
\(202\) | 6.69463 | + | 3.86514i | 0.471032 | + | 0.271951i | ||||
\(203\) | −1.29329 | − | 0.646704i | −0.0907710 | − | 0.0453897i | ||||
\(204\) | 3.65172 | − | 3.05965i | 0.255672 | − | 0.214218i | ||||
\(205\) | 12.8050 | − | 22.1788i | 0.894337 | − | 1.54904i | ||||
\(206\) | 3.29451 | 0.229539 | ||||||||
\(207\) | −4.62168 | − | 12.7554i | −0.321229 | − | 0.886564i | ||||
\(208\) | 2.18738 | + | 2.86625i | 0.151668 | + | 0.198738i | ||||
\(209\) | 40.3753 | 2.79282 | ||||||||
\(210\) | 15.7230 | − | 3.74322i | 1.08499 | − | 0.258307i | ||||
\(211\) | 2.97744 | + | 5.15707i | 0.204975 | + | 0.355028i | 0.950125 | − | 0.311870i | \(-0.100955\pi\) |
−0.745150 | + | 0.666897i | \(0.767622\pi\) | |||||||
\(212\) | − | 10.7806i | − | 0.740412i | ||||||
\(213\) | 1.30050 | + | 1.55215i | 0.0891086 | + | 0.106352i | ||||
\(214\) | −0.755862 | − | 1.30919i | −0.0516697 | − | 0.0894945i | ||||
\(215\) | 0.500779 | 0.0341529 | ||||||||
\(216\) | 4.50564 | − | 2.58829i | 0.306570 | − | 0.176111i | ||||
\(217\) | −0.228857 | − | 3.81520i | −0.0155358 | − | 0.258993i | ||||
\(218\) | −10.3775 | + | 5.99142i | −0.702850 | + | 0.405790i | ||||
\(219\) | 14.3885 | + | 17.1728i | 0.972283 | + | 1.16043i | ||||
\(220\) | 17.0582 | + | 9.84854i | 1.15006 | + | 0.663988i | ||||
\(221\) | −9.83577 | + | 1.26856i | −0.661626 | + | 0.0853328i | ||||
\(222\) | −4.61366 | + | 0.810066i | −0.309648 | + | 0.0543681i | ||||
\(223\) | −7.80461 | + | 4.50599i | −0.522635 | + | 0.301744i | −0.738012 | − | 0.674787i | \(-0.764235\pi\) |
0.215377 | + | 0.976531i | \(0.430902\pi\) | |||||||
\(224\) | 2.36639 | + | 1.18330i | 0.158111 | + | 0.0790628i | ||||
\(225\) | −20.9828 | + | 7.60272i | −1.39886 | + | 0.506848i | ||||
\(226\) | 2.06618 | + | 3.57873i | 0.137440 | + | 0.238054i | ||||
\(227\) | −12.6033 | − | 21.8296i | −0.836511 | − | 1.44888i | −0.892794 | − | 0.450465i | \(-0.851258\pi\) |
0.0562831 | − | 0.998415i | \(-0.482075\pi\) | |||||||
\(228\) | −12.3333 | + | 2.16548i | −0.816792 | + | 0.143412i | ||||
\(229\) | −6.18369 | + | 3.57015i | −0.408630 | + | 0.235922i | −0.690201 | − | 0.723618i | \(-0.742478\pi\) |
0.281571 | + | 0.959540i | \(0.409144\pi\) | |||||||
\(230\) | −7.97493 | + | 13.8130i | −0.525851 | + | 0.910801i | ||||
\(231\) | 24.8968 | − | 5.92725i | 1.63809 | − | 0.389984i | ||||
\(232\) | 0.273262 | + | 0.473303i | 0.0179405 | + | 0.0310739i | ||||
\(233\) | −18.7499 | + | 10.8253i | −1.22835 | + | 0.709187i | −0.966684 | − | 0.255972i | \(-0.917605\pi\) |
−0.261664 | + | 0.965159i | \(0.584271\pi\) | |||||||
\(234\) | −10.8043 | − | 0.515927i | −0.706302 | − | 0.0337272i | ||||
\(235\) | −6.92586 | + | 11.9959i | −0.451793 | + | 0.782528i | ||||
\(236\) | −3.71440 | + | 6.43353i | −0.241787 | + | 0.418787i | ||||
\(237\) | −2.68344 | − | 15.2833i | −0.174308 | − | 0.992756i | ||||
\(238\) | −6.07311 | + | 4.00947i | −0.393661 | + | 0.259895i | ||||
\(239\) | 23.2948i | 1.50682i | 0.657552 | + | 0.753409i | \(0.271592\pi\) | ||||
−0.657552 | + | 0.753409i | \(0.728408\pi\) | |||||||
\(240\) | −5.73890 | − | 2.09350i | −0.370445 | − | 0.135135i | ||||
\(241\) | 0.810506 | − | 0.467946i | 0.0522093 | − | 0.0301431i | −0.473668 | − | 0.880703i | \(-0.657070\pi\) |
0.525877 | + | 0.850560i | \(0.323737\pi\) | |||||||
\(242\) | 17.4847 | + | 10.0948i | 1.12396 | + | 0.648917i | ||||
\(243\) | −2.76250 | + | 15.3417i | −0.177214 | + | 0.984172i | ||||
\(244\) | 10.8209 | − | 6.24747i | 0.692740 | − | 0.399953i | ||||
\(245\) | −24.5115 | + | 2.95129i | −1.56598 | + | 0.188551i | ||||
\(246\) | −4.31009 | + | 11.8152i | −0.274802 | + | 0.753312i | ||||
\(247\) | 24.0560 | + | 10.0386i | 1.53065 | + | 0.638742i | ||||
\(248\) | −0.722302 | + | 1.25106i | −0.0458662 | + | 0.0794426i | ||||
\(249\) | 6.38776 | + | 2.33020i | 0.404808 | + | 0.147670i | ||||
\(250\) | 7.45045 | + | 4.30152i | 0.471208 | + | 0.272052i | ||||
\(251\) | −12.4011 | + | 21.4793i | −0.782748 | + | 1.35576i | 0.147587 | + | 0.989049i | \(0.452849\pi\) |
−0.930335 | + | 0.366711i | \(0.880484\pi\) | |||||||
\(252\) | −7.28721 | + | 3.14588i | −0.459051 | + | 0.198172i | ||||
\(253\) | −12.6280 | + | 21.8723i | −0.793916 | + | 1.37510i | ||||
\(254\) | − | 4.59945i | − | 0.288595i | ||||||
\(255\) | 12.8794 | − | 10.7912i | 0.806537 | − | 0.675770i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 14.2108 | − | 24.6139i | 0.886448 | − | 1.53537i | 0.0424030 | − | 0.999101i | \(-0.486499\pi\) |
0.844045 | − | 0.536272i | \(-0.180168\pi\) | |||||||
\(258\) | −0.242224 | + | 0.0425297i | −0.0150802 | + | 0.00264778i | ||||
\(259\) | 7.14245 | − | 0.428444i | 0.443810 | − | 0.0266222i | ||||
\(260\) | 7.71474 | + | 10.1091i | 0.478448 | + | 0.626937i | ||||
\(261\) | −1.61425 | − | 0.287048i | −0.0999195 | − | 0.0177678i | ||||
\(262\) | − | 4.05321i | − | 0.250408i | ||||||
\(263\) | 12.8091i | 0.789844i | 0.918715 | + | 0.394922i | \(0.129228\pi\) | ||||
−0.918715 | + | 0.394922i | \(0.870772\pi\) | |||||||
\(264\) | −9.08733 | − | 3.31498i | −0.559287 | − | 0.204023i | ||||
\(265\) | − | 38.0223i | − | 2.33569i | ||||||
\(266\) | 19.0933 | − | 1.14532i | 1.17068 | − | 0.0702242i | ||||
\(267\) | 1.79792 | − | 1.50641i | 0.110031 | − | 0.0921910i | ||||
\(268\) | −5.25998 | − | 9.11054i | −0.321304 | − | 0.556515i | ||||
\(269\) | −2.73526 | − | 4.73762i | −0.166772 | − | 0.288858i | 0.770511 | − | 0.637427i | \(-0.220001\pi\) |
−0.937283 | + | 0.348569i | \(0.886668\pi\) | |||||||
\(270\) | 15.8911 | − | 9.12872i | 0.967100 | − | 0.555556i | ||||
\(271\) | 3.90906 | + | 2.25690i | 0.237458 | + | 0.137097i | 0.614008 | − | 0.789300i | \(-0.289556\pi\) |
−0.376550 | + | 0.926396i | \(0.622890\pi\) | |||||||
\(272\) | 2.75055 | 0.166776 | ||||||||
\(273\) | 16.3074 | + | 2.65863i | 0.986969 | + | 0.160908i | ||||
\(274\) | −2.66334 | −0.160898 | ||||||||
\(275\) | 35.9802 | + | 20.7732i | 2.16969 | + | 1.25267i | ||||
\(276\) | 2.68433 | − | 7.35854i | 0.161578 | − | 0.442932i | ||||
\(277\) | 1.38293 | + | 2.39530i | 0.0830922 | + | 0.143920i | 0.904577 | − | 0.426311i | \(-0.140187\pi\) |
−0.821484 | + | 0.570231i | \(0.806854\pi\) | |||||||
\(278\) | 7.28322 | + | 12.6149i | 0.436819 | + | 0.756592i | ||||
\(279\) | −1.47635 | − | 4.07459i | −0.0883866 | − | 0.243939i | ||||
\(280\) | 8.34609 | + | 4.17343i | 0.498774 | + | 0.249410i | ||||
\(281\) | 4.56102i | 0.272088i | 0.990703 | + | 0.136044i | \(0.0434388\pi\) | ||||
−0.990703 | + | 0.136044i | \(0.956561\pi\) | |||||||
\(282\) | 2.33121 | − | 6.39055i | 0.138822 | − | 0.380552i | ||||
\(283\) | − | 10.8625i | − | 0.645711i | −0.946448 | − | 0.322855i | \(-0.895357\pi\) | ||
0.946448 | − | 0.322855i | \(-0.104643\pi\) | |||||||
\(284\) | 1.16911i | 0.0693741i | ||||||||
\(285\) | −43.4987 | + | 7.63750i | −2.57664 | + | 0.452406i | ||||
\(286\) | 12.2160 | + | 16.0073i | 0.722347 | + | 0.946532i | ||||
\(287\) | 8.59226 | − | 17.1829i | 0.507185 | − | 1.01428i | ||||
\(288\) | 2.95367 | + | 0.525225i | 0.174046 | + | 0.0309492i | ||||
\(289\) | 4.71724 | − | 8.17051i | 0.277485 | − | 0.480618i | ||||
\(290\) | 0.963776 | + | 1.66931i | 0.0565949 | + | 0.0980252i | ||||
\(291\) | 14.2743 | + | 17.0365i | 0.836773 | + | 0.998696i | ||||
\(292\) | 12.9349i | 0.756956i | ||||||||
\(293\) | 2.27824 | − | 3.94604i | 0.133096 | − | 0.230530i | −0.791772 | − | 0.610816i | \(-0.790841\pi\) |
0.924869 | + | 0.380287i | \(0.124175\pi\) | |||||||
\(294\) | 11.6054 | − | 3.50921i | 0.676841 | − | 0.204661i | ||||
\(295\) | −13.1004 | + | 22.6906i | −0.762737 | + | 1.32110i | ||||
\(296\) | −2.34212 | − | 1.35222i | −0.136133 | − | 0.0785963i | ||||
\(297\) | 25.1629 | − | 14.4550i | 1.46010 | − | 0.838763i | ||||
\(298\) | 3.53101 | − | 6.11590i | 0.204546 | − | 0.354284i | ||||
\(299\) | −12.9620 | + | 9.89200i | −0.749614 | + | 0.572069i | ||||
\(300\) | −12.1049 | − | 4.41575i | −0.698876 | − | 0.254943i | ||||
\(301\) | 0.374989 | − | 0.0224939i | 0.0216140 | − | 0.00129653i | ||||
\(302\) | 0.661388 | − | 0.381853i | 0.0380586 | − | 0.0219731i | ||||
\(303\) | −12.5785 | − | 4.58851i | −0.722614 | − | 0.263603i | ||||
\(304\) | −6.26098 | − | 3.61478i | −0.359092 | − | 0.207322i | ||||
\(305\) | 38.1647 | − | 22.0344i | 2.18530 | − | 1.26169i | ||||
\(306\) | −5.31321 | + | 6.31343i | −0.303736 | + | 0.360915i | ||||
\(307\) | 14.2501i | 0.813298i | 0.913584 | + | 0.406649i | \(0.133303\pi\) | ||||
−0.913584 | + | 0.406649i | \(0.866697\pi\) | |||||||
\(308\) | 13.2157 | + | 6.60847i | 0.753035 | + | 0.376553i | ||||
\(309\) | −5.62028 | + | 0.986809i | −0.319727 | + | 0.0561376i | ||||
\(310\) | −2.54751 | + | 4.41241i | −0.144689 | + | 0.250608i | ||||
\(311\) | −9.01815 | + | 15.6199i | −0.511372 | + | 0.885723i | 0.488541 | + | 0.872541i | \(0.337529\pi\) |
−0.999913 | + | 0.0131816i | \(0.995804\pi\) | |||||||
\(312\) | −4.59010 | − | 4.23450i | −0.259863 | − | 0.239731i | ||||
\(313\) | 18.1151 | − | 10.4587i | 1.02392 | − | 0.591163i | 0.108686 | − | 0.994076i | \(-0.465336\pi\) |
0.915238 | + | 0.402913i | \(0.132002\pi\) | |||||||
\(314\) | 8.04062 | + | 13.9268i | 0.453758 | + | 0.785932i | ||||
\(315\) | −25.7015 | + | 11.0953i | −1.44812 | + | 0.625149i | ||||
\(316\) | 4.47939 | − | 7.75854i | 0.251986 | − | 0.436452i | ||||
\(317\) | −12.2233 | + | 7.05711i | −0.686528 | + | 0.396367i | −0.802310 | − | 0.596908i | \(-0.796396\pi\) |
0.115782 | + | 0.993275i | \(0.463063\pi\) | |||||||
\(318\) | 3.22912 | + | 18.3911i | 0.181080 | + | 1.03132i | ||||
\(319\) | 1.52610 | + | 2.64329i | 0.0854453 | + | 0.147996i | ||||
\(320\) | −1.76347 | − | 3.05441i | −0.0985807 | − | 0.170747i | ||||
\(321\) | 1.68161 | + | 2.00702i | 0.0938583 | + | 0.112021i | ||||
\(322\) | −5.35126 | + | 10.7015i | −0.298214 | + | 0.596373i | ||||
\(323\) | 17.2211 | − | 9.94262i | 0.958209 | − | 0.553222i | ||||
\(324\) | −6.91114 | + | 5.76509i | −0.383952 | + | 0.320283i | ||||
\(325\) | 16.2725 | + | 21.3227i | 0.902633 | + | 1.18277i | ||||
\(326\) | −6.22894 | − | 3.59628i | −0.344989 | − | 0.199180i | ||||
\(327\) | 15.9088 | − | 13.3295i | 0.879761 | − | 0.737121i | ||||
\(328\) | −6.28842 | + | 3.63062i | −0.347220 | + | 0.200468i | ||||
\(329\) | −4.64732 | + | 9.29378i | −0.256215 | + | 0.512383i | ||||
\(330\) | −32.0504 | − | 11.6917i | −1.76432 | − | 0.643607i | ||||
\(331\) | 2.33255 | 0.128209 | 0.0641043 | − | 0.997943i | \(-0.479581\pi\) | ||||
0.0641043 | + | 0.997943i | \(0.479581\pi\) | |||||||
\(332\) | 1.96285 | + | 3.39976i | 0.107725 | + | 0.186586i | ||||
\(333\) | 7.62805 | − | 2.76387i | 0.418014 | − | 0.151459i | ||||
\(334\) | 7.50084i | 0.410428i | ||||||||
\(335\) | −18.5516 | − | 32.1323i | −1.01358 | − | 1.75557i | ||||
\(336\) | −4.39139 | − | 1.30986i | −0.239570 | − | 0.0714585i | ||||
\(337\) | 33.7268 | 1.83722 | 0.918609 | − | 0.395168i | \(-0.129313\pi\) | ||||
0.918609 | + | 0.395168i | \(0.129313\pi\) | |||||||
\(338\) | 3.29847 | + | 12.5746i | 0.179413 | + | 0.683967i | ||||
\(339\) | −4.59675 | − | 5.48626i | −0.249661 | − | 0.297973i | ||||
\(340\) | 9.70099 | 0.526110 | ||||||||
\(341\) | −4.03388 | + | 6.98689i | −0.218447 | + | 0.378361i | ||||
\(342\) | 20.3914 | − | 7.38842i | 1.10264 | − | 0.399520i | ||||
\(343\) | −18.2219 | + | 3.31096i | −0.983890 | + | 0.178775i | ||||
\(344\) | −0.122965 | − | 0.0709937i | −0.00662981 | − | 0.00382772i | ||||
\(345\) | 9.46744 | − | 25.9531i | 0.509710 | − | 1.39727i | ||||
\(346\) | −19.1098 | − | 11.0331i | −1.02735 | − | 0.593140i | ||||
\(347\) | 2.56323 | − | 1.47988i | 0.137602 | − | 0.0794443i | −0.429619 | − | 0.903010i | \(-0.641352\pi\) |
0.567220 | + | 0.823566i | \(0.308019\pi\) | |||||||
\(348\) | −0.607942 | − | 0.725584i | −0.0325891 | − | 0.0388954i | ||||
\(349\) | 7.78741 | − | 4.49606i | 0.416851 | − | 0.240669i | −0.276878 | − | 0.960905i | \(-0.589300\pi\) |
0.693729 | + | 0.720236i | \(0.255967\pi\) | |||||||
\(350\) | 17.6041 | + | 8.80289i | 0.940981 | + | 0.470534i | ||||
\(351\) | 18.5863 | − | 2.35609i | 0.992061 | − | 0.125759i | ||||
\(352\) | −2.79238 | − | 4.83655i | −0.148834 | − | 0.257789i | ||||
\(353\) | −15.6323 | −0.832022 | −0.416011 | − | 0.909360i | \(-0.636572\pi\) | ||||
−0.416011 | + | 0.909360i | \(0.636572\pi\) | |||||||
\(354\) | 4.40955 | − | 12.0879i | 0.234365 | − | 0.642464i | ||||
\(355\) | 4.12338i | 0.218846i | ||||||||
\(356\) | 1.35423 | 0.0717739 | ||||||||
\(357\) | 9.15949 | − | 8.65907i | 0.484772 | − | 0.458286i | ||||
\(358\) | 5.56410 | − | 9.63731i | 0.294072 | − | 0.509348i | ||||
\(359\) | −7.17996 | + | 4.14535i | −0.378944 | + | 0.218783i | −0.677359 | − | 0.735653i | \(-0.736875\pi\) |
0.298415 | + | 0.954436i | \(0.403542\pi\) | |||||||
\(360\) | 10.4174 | + | 1.85243i | 0.549044 | + | 0.0976317i | ||||
\(361\) | −33.2665 | −1.75087 | ||||||||
\(362\) | 1.64290 | − | 2.84559i | 0.0863490 | − | 0.149561i | ||||
\(363\) | −32.8518 | − | 11.9840i | −1.72427 | − | 0.628998i | ||||
\(364\) | 6.23096 | + | 7.22324i | 0.326591 | + | 0.378601i | ||||
\(365\) | 45.6204i | 2.38788i | ||||||||
\(366\) | −16.5887 | + | 13.8991i | −0.867106 | + | 0.726519i | ||||
\(367\) | − | 27.4310i | − | 1.43189i | −0.698159 | − | 0.715943i | \(-0.745997\pi\) | ||
0.698159 | − | 0.715943i | \(-0.254003\pi\) | |||||||
\(368\) | 3.91643 | − | 2.26115i | 0.204158 | − | 0.117871i | ||||
\(369\) | 3.81378 | − | 21.4473i | 0.198538 | − | 1.11650i | ||||
\(370\) | −8.26048 | − | 4.76919i | −0.429442 | − | 0.247939i | ||||
\(371\) | −1.70788 | − | 28.4715i | −0.0886687 | − | 1.47817i | ||||
\(372\) | 0.857481 | − | 2.35061i | 0.0444583 | − | 0.121873i | ||||
\(373\) | 33.1534 | 1.71662 | 0.858308 | − | 0.513135i | \(-0.171516\pi\) | ||||
0.858308 | + | 0.513135i | \(0.171516\pi\) | |||||||
\(374\) | 15.3612 | 0.794306 | ||||||||
\(375\) | −13.9986 | − | 5.10655i | −0.722884 | − | 0.263701i | ||||
\(376\) | 3.40124 | − | 1.96371i | 0.175405 | − | 0.101270i | ||||
\(377\) | 0.252059 | + | 1.95433i | 0.0129817 | + | 0.100653i | ||||
\(378\) | 11.4894 | − | 7.54948i | 0.590949 | − | 0.388303i | ||||
\(379\) | 8.65643 | + | 14.9934i | 0.444651 | + | 0.770158i | 0.998028 | − | 0.0627730i | \(-0.0199944\pi\) |
−0.553377 | + | 0.832931i | \(0.686661\pi\) | |||||||
\(380\) | −22.0820 | − | 12.7491i | −1.13278 | − | 0.654014i | ||||
\(381\) | 1.37768 | + | 7.84646i | 0.0705808 | + | 0.401986i | ||||
\(382\) | −1.13467 | + | 1.96531i | −0.0580547 | + | 0.100554i | ||||
\(383\) | −11.9845 | −0.612380 | −0.306190 | − | 0.951970i | \(-0.599054\pi\) | ||||
−0.306190 | + | 0.951970i | \(0.599054\pi\) | |||||||
\(384\) | 1.11238 | + | 1.32763i | 0.0567659 | + | 0.0677505i | ||||
\(385\) | 46.6109 | + | 23.3076i | 2.37551 | + | 1.18787i | ||||
\(386\) | −13.8674 | − | 8.00636i | −0.705833 | − | 0.407513i | ||||
\(387\) | 0.400484 | − | 0.145107i | 0.0203577 | − | 0.00737623i | ||||
\(388\) | 12.8322i | 0.651456i | ||||||||
\(389\) | −6.65966 | − | 3.84496i | −0.337658 | − | 0.194947i | 0.321578 | − | 0.946883i | \(-0.395787\pi\) |
−0.659236 | + | 0.751936i | \(0.729120\pi\) | |||||||
\(390\) | −16.1890 | − | 14.9348i | −0.819761 | − | 0.756252i | ||||
\(391\) | 12.4388i | 0.629058i | ||||||||
\(392\) | 6.43710 | + | 2.75022i | 0.325123 | + | 0.138907i | ||||
\(393\) | 1.21406 | + | 6.91459i | 0.0612415 | + | 0.348795i | ||||
\(394\) | −23.5098 | −1.18441 | ||||||||
\(395\) | 15.7985 | − | 27.3638i | 0.794909 | − | 1.37682i | ||||
\(396\) | 16.4955 | + | 2.93326i | 0.828931 | + | 0.147402i | ||||
\(397\) | 2.01403i | 0.101081i | 0.998722 | + | 0.0505407i | \(0.0160945\pi\) | ||||
−0.998722 | + | 0.0505407i | \(0.983906\pi\) | |||||||
\(398\) | −4.36567 | −0.218831 | ||||||||
\(399\) | −32.2292 | + | 7.67291i | −1.61348 | + | 0.384126i | ||||
\(400\) | −3.71962 | − | 6.44257i | −0.185981 | − | 0.322129i | ||||
\(401\) | −25.6675 | − | 14.8191i | −1.28177 | − | 0.740033i | −0.304602 | − | 0.952480i | \(-0.598523\pi\) |
−0.977173 | + | 0.212447i | \(0.931857\pi\) | |||||||
\(402\) | 11.7022 | + | 13.9666i | 0.583651 | + | 0.696593i | ||||
\(403\) | −4.14059 | + | 3.15990i | −0.206257 | + | 0.157406i | ||||
\(404\) | −3.86514 | − | 6.69463i | −0.192298 | − | 0.333070i | ||||
\(405\) | −24.3751 | + | 20.3331i | −1.21121 | + | 1.01036i | ||||
\(406\) | 0.796668 | + | 1.20671i | 0.0395379 | + | 0.0598878i | ||||
\(407\) | −13.0802 | − | 7.55184i | −0.648360 | − | 0.374331i | ||||
\(408\) | −4.69231 | + | 0.823876i | −0.232304 | + | 0.0407879i | ||||
\(409\) | −19.6394 | + | 11.3388i | −0.971105 | + | 0.560668i | −0.899573 | − | 0.436770i | \(-0.856122\pi\) |
−0.0715323 | + | 0.997438i | \(0.522789\pi\) | |||||||
\(410\) | −22.1788 | + | 12.8050i | −1.09533 | + | 0.632391i | ||||
\(411\) | 4.54354 | − | 0.797756i | 0.224116 | − | 0.0393504i | ||||
\(412\) | −2.85313 | − | 1.64725i | −0.140563 | − | 0.0811544i | ||||
\(413\) | −8.79053 | + | 17.5794i | −0.432554 | + | 0.865027i | ||||
\(414\) | −2.37523 | + | 13.3574i | −0.116736 | + | 0.656479i | ||||
\(415\) | 6.92284 | + | 11.9907i | 0.339829 | + | 0.588600i | ||||
\(416\) | −0.461204 | − | 3.57593i | −0.0226124 | − | 0.175325i | ||||
\(417\) | −16.2034 | − | 19.3389i | −0.793485 | − | 0.947031i | ||||
\(418\) | −34.9661 | − | 20.1877i | −1.71025 | − | 0.987411i | ||||
\(419\) | −2.01719 | − | 3.49388i | −0.0985463 | − | 0.170687i | 0.812537 | − | 0.582910i | \(-0.198086\pi\) |
−0.911083 | + | 0.412223i | \(0.864753\pi\) | |||||||
\(420\) | −15.4881 | − | 4.61977i | −0.755743 | − | 0.225422i | ||||
\(421\) | −7.21848 | −0.351807 | −0.175904 | − | 0.984407i | \(-0.556285\pi\) | ||||
−0.175904 | + | 0.984407i | \(0.556285\pi\) | |||||||
\(422\) | − | 5.95488i | − | 0.289879i | ||||||
\(423\) | −2.06277 | + | 11.6003i | −0.100295 | + | 0.564024i | ||||
\(424\) | −5.39028 | + | 9.33624i | −0.261775 | + | 0.453408i | ||||
\(425\) | 20.4620 | 0.992552 | ||||||||
\(426\) | −0.350186 | − | 1.99445i | −0.0169666 | − | 0.0966316i | ||||
\(427\) | 27.5884 | − | 18.2139i | 1.33510 | − | 0.881431i | ||||
\(428\) | 1.51172i | 0.0730719i | ||||||||
\(429\) | −25.6346 | − | 23.6487i | −1.23765 | − | 1.14177i | ||||
\(430\) | −0.433688 | − | 0.250390i | −0.0209143 | − | 0.0120749i | ||||
\(431\) | 18.4030i | 0.886440i | 0.896413 | + | 0.443220i | \(0.146164\pi\) | ||||
−0.896413 | + | 0.443220i | \(0.853836\pi\) | |||||||
\(432\) | −5.19614 | − | 0.0112934i | −0.249999 | − | 0.000543352i | ||||
\(433\) | −1.86816 | − | 1.07858i | −0.0897781 | − | 0.0518334i | 0.454439 | − | 0.890778i | \(-0.349840\pi\) |
−0.544217 | + | 0.838945i | \(0.683173\pi\) | |||||||
\(434\) | −1.70941 | + | 3.41849i | −0.0820541 | + | 0.164093i | ||||
\(435\) | −2.14417 | − | 2.55908i | −0.102805 | − | 0.122699i | ||||
\(436\) | 11.9828 | 0.573874 | ||||||||
\(437\) | 16.3471 | − | 28.3141i | 0.781989 | − | 1.35444i | ||||
\(438\) | −3.87440 | − | 22.0663i | −0.185126 | − | 1.05437i | ||||
\(439\) | −31.1263 | − | 17.9708i | −1.48558 | − | 0.857699i | −0.485713 | − | 0.874118i | \(-0.661440\pi\) |
−0.999865 | + | 0.0164188i | \(0.994773\pi\) | |||||||
\(440\) | −9.84854 | − | 17.0582i | −0.469511 | − | 0.813216i | ||||
\(441\) | −18.7472 | + | 9.46274i | −0.892723 | + | 0.450606i | ||||
\(442\) | 9.15231 | + | 3.81928i | 0.435331 | + | 0.181665i | ||||
\(443\) | −12.0373 | + | 6.94972i | −0.571908 | + | 0.330191i | −0.757911 | − | 0.652358i | \(-0.773780\pi\) |
0.186003 | + | 0.982549i | \(0.440447\pi\) | |||||||
\(444\) | 4.40058 | + | 1.60529i | 0.208842 | + | 0.0761837i | ||||
\(445\) | 4.77626 | 0.226417 | ||||||||
\(446\) | 9.01198 | 0.426730 | ||||||||
\(447\) | −4.19185 | + | 11.4911i | −0.198268 | + | 0.543510i | ||||
\(448\) | −1.45770 | − | 2.20797i | −0.0688698 | − | 0.104317i | ||||
\(449\) | 7.01192 | + | 4.04833i | 0.330913 | + | 0.191053i | 0.656246 | − | 0.754547i | \(-0.272143\pi\) |
−0.325333 | + | 0.945599i | \(0.605477\pi\) | |||||||
\(450\) | 21.9730 | + | 3.90727i | 1.03582 | + | 0.184191i | ||||
\(451\) | −35.1193 | + | 20.2762i | −1.65370 | + | 0.954767i | ||||
\(452\) | − | 4.13236i | − | 0.194370i | ||||||
\(453\) | −1.01392 | + | 0.849530i | −0.0476382 | + | 0.0399144i | ||||
\(454\) | 25.2066i | 1.18301i | ||||||||
\(455\) | 21.9762 | + | 25.4759i | 1.03026 | + | 1.19433i | ||||
\(456\) | 11.7637 | + | 4.29128i | 0.550885 | + | 0.200958i | ||||
\(457\) | 7.49317 | − | 12.9786i | 0.350516 | − | 0.607111i | −0.635824 | − | 0.771834i | \(-0.719340\pi\) |
0.986340 | + | 0.164723i | \(0.0526730\pi\) | |||||||
\(458\) | 7.14031 | 0.333645 | ||||||||
\(459\) | 7.17302 | − | 12.3619i | 0.334808 | − | 0.577004i | ||||
\(460\) | 13.8130 | − | 7.97493i | 0.644034 | − | 0.371833i | ||||
\(461\) | −19.1448 | + | 33.1598i | −0.891662 | + | 1.54440i | −0.0537801 | + | 0.998553i | \(0.517127\pi\) |
−0.837882 | + | 0.545851i | \(0.816206\pi\) | |||||||
\(462\) | −24.5249 | − | 7.31523i | −1.14100 | − | 0.340335i | ||||
\(463\) | −33.6387 | −1.56333 | −0.781663 | − | 0.623702i | \(-0.785628\pi\) | ||||
−0.781663 | + | 0.623702i | \(0.785628\pi\) | |||||||
\(464\) | − | 0.546524i | − | 0.0253717i | ||||||
\(465\) | 3.02428 | − | 8.29044i | 0.140247 | − | 0.384460i | ||||
\(466\) | 21.6505 | 1.00294 | ||||||||
\(467\) | 19.5650 | + | 33.8876i | 0.905362 | + | 1.56813i | 0.820431 | + | 0.571746i | \(0.193734\pi\) |
0.0849307 | + | 0.996387i | \(0.472933\pi\) | |||||||
\(468\) | 9.09887 | + | 5.84898i | 0.420595 | + | 0.270369i | ||||
\(469\) | −15.3349 | − | 23.2277i | −0.708101 | − | 1.07255i | ||||
\(470\) | 11.9959 | − | 6.92586i | 0.553331 | − | 0.319466i | ||||
\(471\) | −17.8884 | − | 21.3500i | −0.824255 | − | 0.983756i | ||||
\(472\) | 6.43353 | − | 3.71440i | 0.296127 | − | 0.170969i | ||||
\(473\) | −0.686728 | − | 0.396483i | −0.0315758 | − | 0.0182303i | ||||
\(474\) | −5.31771 | + | 14.5774i | −0.244251 | + | 0.669564i | ||||
\(475\) | −46.5769 | − | 26.8912i | −2.13710 | − | 1.23385i | ||||
\(476\) | 7.26421 | − | 0.435748i | 0.332954 | − | 0.0199725i | ||||
\(477\) | −11.0175 | − | 30.4072i | −0.504455 | − | 1.39225i | ||||
\(478\) | 11.6474 | − | 20.1739i | 0.532741 | − | 0.922734i | ||||
\(479\) | −8.01010 | −0.365991 | −0.182996 | − | 0.983114i | \(-0.558579\pi\) | ||||
−0.182996 | + | 0.983114i | \(0.558579\pi\) | |||||||
\(480\) | 3.92329 | + | 4.68247i | 0.179073 | + | 0.213725i | ||||
\(481\) | −5.91565 | − | 7.75160i | −0.269730 | − | 0.353443i | ||||
\(482\) | −0.935892 | −0.0426287 | ||||||||
\(483\) | 5.92357 | − | 19.8592i | 0.269532 | − | 0.903625i | ||||
\(484\) | −10.0948 | − | 17.4847i | −0.458854 | − | 0.794758i | ||||
\(485\) | 45.2583i | 2.05507i | ||||||||
\(486\) | 10.0633 | − | 11.9051i | 0.456479 | − | 0.540025i | ||||
\(487\) | −7.66284 | − | 13.2724i | −0.347236 | − | 0.601431i | 0.638521 | − | 0.769604i | \(-0.279547\pi\) |
−0.985757 | + | 0.168173i | \(0.946213\pi\) | |||||||
\(488\) | −12.4949 | −0.565620 | ||||||||
\(489\) | 11.7035 | + | 4.26933i | 0.529250 | + | 0.193066i | ||||
\(490\) | 22.7032 | + | 9.69985i | 1.02563 | + | 0.438194i | ||||
\(491\) | 13.6930 | − | 7.90566i | 0.617956 | − | 0.356777i | −0.158116 | − | 0.987420i | \(-0.550542\pi\) |
0.776073 | + | 0.630643i | \(0.217209\pi\) | |||||||
\(492\) | 9.64027 | − | 8.07726i | 0.434617 | − | 0.364151i | ||||
\(493\) | 1.30184 | + | 0.751620i | 0.0586321 | + | 0.0338513i | ||||
\(494\) | −15.8138 | − | 20.7217i | −0.711496 | − | 0.932313i | ||||
\(495\) | 58.1786 | + | 10.3454i | 2.61493 | + | 0.464991i | ||||
\(496\) | 1.25106 | − | 0.722302i | 0.0561744 | − | 0.0324323i | ||||
\(497\) | 0.185214 | + | 3.08763i | 0.00830796 | + | 0.138499i | ||||
\(498\) | −4.36687 | − | 5.21189i | −0.195684 | − | 0.233550i | ||||
\(499\) | 9.63442 | + | 16.6873i | 0.431296 | + | 0.747026i | 0.996985 | − | 0.0775923i | \(-0.0247232\pi\) |
−0.565689 | + | 0.824618i | \(0.691390\pi\) | |||||||
\(500\) | −4.30152 | − | 7.45045i | −0.192370 | − | 0.333194i | ||||
\(501\) | −2.24674 | − | 12.7961i | −0.100377 | − | 0.571687i | ||||
\(502\) | 21.4793 | − | 12.4011i | 0.958667 | − | 0.553487i | ||||
\(503\) | 12.4057 | − | 21.4872i | 0.553141 | − | 0.958069i | −0.444904 | − | 0.895578i | \(-0.646762\pi\) |
0.998046 | − | 0.0624908i | \(-0.0199044\pi\) | |||||||
\(504\) | 7.88385 | + | 0.919194i | 0.351175 | + | 0.0409442i | ||||
\(505\) | −13.6321 | − | 23.6115i | −0.606620 | − | 1.05070i | ||||
\(506\) | 21.8723 | − | 12.6280i | 0.972344 | − | 0.561383i | ||||
\(507\) | −9.39352 | − | 20.4637i | −0.417181 | − | 0.908824i | ||||
\(508\) | −2.29973 | + | 3.98324i | −0.102034 | + | 0.176728i | ||||
\(509\) | 5.05002 | − | 8.74690i | 0.223838 | − | 0.387699i | −0.732132 | − | 0.681163i | \(-0.761475\pi\) |
0.955970 | + | 0.293463i | \(0.0948079\pi\) | |||||||
\(510\) | −16.5495 | + | 2.90575i | −0.732822 | + | 0.128669i | ||||
\(511\) | 2.04917 | + | 34.1610i | 0.0906499 | + | 1.51119i | ||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | −32.5737 | + | 18.7122i | −1.43817 | + | 0.826163i | ||||
\(514\) | −24.6139 | + | 14.2108i | −1.08567 | + | 0.626813i | ||||
\(515\) | −10.0628 | − | 5.80975i | −0.443419 | − | 0.256008i | ||||
\(516\) | 0.231037 | + | 0.0842802i | 0.0101708 | + | 0.00371023i | ||||
\(517\) | 18.9951 | − | 10.9668i | 0.835404 | − | 0.482321i | ||||
\(518\) | −6.39976 | − | 3.20018i | −0.281189 | − | 0.140608i | ||||
\(519\) | 35.9052 | + | 13.0979i | 1.57606 | + | 0.574934i | ||||
\(520\) | −1.62663 | − | 12.6121i | −0.0713326 | − | 0.553076i | ||||
\(521\) | −7.92535 | + | 13.7271i | −0.347216 | + | 0.601395i | −0.985754 | − | 0.168195i | \(-0.946206\pi\) |
0.638538 | + | 0.769590i | \(0.279540\pi\) | |||||||
\(522\) | 1.25446 | + | 1.05571i | 0.0549061 | + | 0.0462074i | ||||
\(523\) | 33.5587 | + | 19.3751i | 1.46742 | + | 0.847215i | 0.999335 | − | 0.0364696i | \(-0.0116112\pi\) |
0.468084 | + | 0.883684i | \(0.344945\pi\) | |||||||
\(524\) | −2.02661 | + | 3.51018i | −0.0885327 | + | 0.153343i | ||||
\(525\) | −32.6686 | − | 9.74433i | −1.42577 | − | 0.425278i | ||||
\(526\) | 6.40456 | − | 11.0930i | 0.279252 | − | 0.483679i | ||||
\(527\) | 3.97345i | 0.173086i | ||||||||
\(528\) | 6.21237 | + | 7.41452i | 0.270359 | + | 0.322676i | ||||
\(529\) | −1.27438 | − | 2.20728i | −0.0554076 | − | 0.0959688i | ||||
\(530\) | −19.0111 | + | 32.9283i | −0.825791 | + | 1.43031i | ||||
\(531\) | −3.90179 | + | 21.9422i | −0.169323 | + | 0.952210i | ||||
\(532\) | −17.1079 | − | 8.55476i | −0.741723 | − | 0.370896i | ||||
\(533\) | −25.9657 | + | 3.34891i | −1.12470 | + | 0.145057i | ||||
\(534\) | −2.31025 | + | 0.405634i | −0.0999743 | + | 0.0175535i | ||||
\(535\) | 5.33175i | 0.230511i | ||||||||
\(536\) | 10.5200i | 0.454393i | ||||||||
\(537\) | −6.60543 | + | 18.1074i | −0.285045 | + | 0.781394i | ||||
\(538\) | 5.47053i | 0.235851i | ||||||||
\(539\) | 35.9497 | + | 15.3593i | 1.54846 | + | 0.661574i | ||||
\(540\) | −18.3264 | − | 0.0398309i | −0.788644 | − | 0.00171405i | ||||
\(541\) | 8.32547 | + | 14.4201i | 0.357940 | + | 0.619970i | 0.987617 | − | 0.156887i | \(-0.0501459\pi\) |
−0.629676 | + | 0.776857i | \(0.716813\pi\) | |||||||
\(542\) | −2.25690 | − | 3.90906i | −0.0969420 | − | 0.167908i | ||||
\(543\) | −1.95037 | + | 5.34654i | −0.0836984 | + | 0.229442i | ||||
\(544\) | −2.38204 | − | 1.37527i | −0.102129 | − | 0.0589644i | ||||
\(545\) | 42.2627 | 1.81033 | ||||||||
\(546\) | −12.7933 | − | 10.4561i | −0.547503 | − | 0.447482i | ||||
\(547\) | −15.5709 | −0.665762 | −0.332881 | − | 0.942969i | \(-0.608021\pi\) | ||||
−0.332881 | + | 0.942969i | \(0.608021\pi\) | |||||||
\(548\) | 2.30652 | + | 1.33167i | 0.0985298 | + | 0.0568862i | ||||
\(549\) | 24.1364 | − | 28.6801i | 1.03012 | − | 1.22404i | ||||
\(550\) | −20.7732 | − | 35.9802i | −0.885772 | − | 1.53420i | ||||
\(551\) | −1.97556 | − | 3.42177i | −0.0841618 | − | 0.145772i | ||||
\(552\) | −6.00397 | + | 5.03052i | −0.255546 | + | 0.214113i | ||||
\(553\) | 10.6010 | − | 21.2000i | 0.450799 | − | 0.901514i | ||||
\(554\) | − | 2.76586i | − | 0.117510i | ||||||
\(555\) | 15.5205 | + | 5.66175i | 0.658810 | + | 0.240328i | ||||
\(556\) | − | 14.5664i | − | 0.617755i | ||||||
\(557\) | 28.0326i | 1.18778i | 0.804546 | + | 0.593890i | \(0.202409\pi\) | ||||
−0.804546 | + | 0.593890i | \(0.797591\pi\) | |||||||
\(558\) | −0.758741 | + | 4.26687i | −0.0321201 | + | 0.180631i | ||||
\(559\) | −0.310580 | − | 0.406971i | −0.0131361 | − | 0.0172130i | ||||
\(560\) | −5.14121 | − | 7.78734i | −0.217256 | − | 0.329075i | ||||
\(561\) | −26.2054 | + | 4.60115i | −1.10639 | + | 0.194261i | ||||
\(562\) | 2.28051 | − | 3.94996i | 0.0961975 | − | 0.166619i | ||||
\(563\) | 14.5119 | + | 25.1354i | 0.611605 | + | 1.05933i | 0.990970 | + | 0.134084i | \(0.0428092\pi\) |
−0.379365 | + | 0.925247i | \(0.623858\pi\) | |||||||
\(564\) | −5.21417 | + | 4.36877i | −0.219556 | + | 0.183958i | ||||
\(565\) | − | 14.5746i | − | 0.613156i | ||||||
\(566\) | −5.43127 | + | 9.40723i | −0.228293 | + | 0.395415i | ||||
\(567\) | −17.3390 | + | 16.3205i | −0.728170 | + | 0.685396i | ||||
\(568\) | 0.584557 | − | 1.01248i | 0.0245274 | − | 0.0424828i | ||||
\(569\) | 18.1164 | + | 10.4595i | 0.759477 | + | 0.438484i | 0.829108 | − | 0.559088i | \(-0.188849\pi\) |
−0.0696307 | + | 0.997573i | \(0.522182\pi\) | |||||||
\(570\) | 41.4897 | + | 15.1351i | 1.73781 | + | 0.633938i | ||||
\(571\) | 13.7259 | − | 23.7740i | 0.574412 | − | 0.994910i | −0.421694 | − | 0.906738i | \(-0.638564\pi\) |
0.996105 | − | 0.0881718i | \(-0.0281025\pi\) | |||||||
\(572\) | −2.57571 | − | 19.9707i | −0.107696 | − | 0.835018i | ||||
\(573\) | 1.34702 | − | 3.69259i | 0.0562727 | − | 0.154260i | ||||
\(574\) | −16.0326 | + | 10.5847i | −0.669187 | + | 0.441797i | ||||
\(575\) | 29.1353 | − | 16.8213i | 1.21503 | − | 0.701495i | ||||
\(576\) | −2.29534 | − | 1.93169i | −0.0956390 | − | 0.0804871i | ||||
\(577\) | 12.3366 | + | 7.12257i | 0.513581 | + | 0.296516i | 0.734305 | − | 0.678820i | \(-0.237508\pi\) |
−0.220723 | + | 0.975336i | \(0.570842\pi\) | |||||||
\(578\) | −8.17051 | + | 4.71724i | −0.339848 | + | 0.196212i | ||||
\(579\) | 26.0554 | + | 9.50476i | 1.08282 | + | 0.395004i | ||||
\(580\) | − | 1.92755i | − | 0.0800372i | ||||||
\(581\) | 5.72249 | + | 8.66781i | 0.237409 | + | 0.359601i | ||||
\(582\) | −3.84365 | − | 21.8912i | −0.159324 | − | 0.907418i | ||||
\(583\) | −30.1034 | + | 52.1407i | −1.24676 | + | 2.15945i | ||||
\(584\) | 6.46743 | − | 11.2019i | 0.267624 | − | 0.463539i | ||||
\(585\) | 32.0911 | + | 20.6289i | 1.32680 | + | 0.852902i | ||||
\(586\) | −3.94604 | + | 2.27824i | −0.163009 | + | 0.0941134i | ||||
\(587\) | 14.8030 | + | 25.6395i | 0.610983 | + | 1.05825i | 0.991075 | + | 0.133305i | \(0.0425591\pi\) |
−0.380092 | + | 0.924949i | \(0.624108\pi\) | |||||||
\(588\) | −11.8052 | − | 2.76364i | −0.486837 | − | 0.113971i | ||||
\(589\) | 5.22192 | − | 9.04463i | 0.215165 | − | 0.372677i | ||||
\(590\) | 22.6906 | − | 13.1004i | 0.934158 | − | 0.539336i | ||||
\(591\) | 40.1067 | − | 7.04194i | 1.64977 | − | 0.289667i | ||||
\(592\) | 1.35222 | + | 2.34212i | 0.0555760 | + | 0.0962604i | ||||
\(593\) | −11.0829 | − | 19.1962i | −0.455121 | − | 0.788292i | 0.543574 | − | 0.839361i | \(-0.317071\pi\) |
−0.998695 | + | 0.0510687i | \(0.983737\pi\) | |||||||
\(594\) | −29.0192 | − | 0.0630707i | −1.19067 | − | 0.00258782i | ||||
\(595\) | 25.6204 | − | 1.53685i | 1.05033 | − | 0.0630048i | ||||
\(596\) | −6.11590 | + | 3.53101i | −0.250517 | + | 0.144636i | ||||
\(597\) | 7.44764 | − | 1.30766i | 0.304812 | − | 0.0535188i | ||||
\(598\) | 16.1715 | − | 2.08570i | 0.661300 | − | 0.0852908i | ||||
\(599\) | −6.69141 | − | 3.86329i | −0.273404 | − | 0.157850i | 0.357030 | − | 0.934093i | \(-0.383789\pi\) |
−0.630433 | + | 0.776243i | \(0.717123\pi\) | |||||||
\(600\) | 8.27526 | + | 9.87659i | 0.337836 | + | 0.403210i | ||||
\(601\) | −30.6255 | + | 17.6816i | −1.24924 | + | 0.721249i | −0.970958 | − | 0.239251i | \(-0.923098\pi\) |
−0.278282 | + | 0.960499i | \(0.589765\pi\) | |||||||
\(602\) | −0.335997 | − | 0.168014i | −0.0136942 | − | 0.00684775i | ||||
\(603\) | −24.1468 | − | 20.3213i | −0.983335 | − | 0.827547i | ||||
\(604\) | −0.763705 | −0.0310747 | ||||||||
\(605\) | −35.6036 | − | 61.6673i | −1.44749 | − | 2.50713i | ||||
\(606\) | 8.59901 | + | 10.2630i | 0.349311 | + | 0.416906i | ||||
\(607\) | − | 38.5504i | − | 1.56471i | −0.622832 | − | 0.782356i | \(-0.714018\pi\) | ||
0.622832 | − | 0.782356i | \(-0.285982\pi\) | |||||||
\(608\) | 3.61478 | + | 6.26098i | 0.146599 | + | 0.253916i | ||||
\(609\) | −1.72053 | − | 1.81996i | −0.0697192 | − | 0.0737484i | ||||
\(610\) | −44.0688 | −1.78429 | ||||||||
\(611\) | 14.0442 | − | 1.81134i | 0.568166 | − | 0.0732788i | ||||
\(612\) | 7.75809 | − | 2.81099i | 0.313602 | − | 0.113628i | ||||
\(613\) | −13.3805 | −0.540435 | −0.270218 | − | 0.962799i | \(-0.587096\pi\) | ||||
−0.270218 | + | 0.962799i | \(0.587096\pi\) | |||||||
\(614\) | 7.12507 | − | 12.3410i | 0.287544 | − | 0.498042i | ||||
\(615\) | 34.0006 | − | 28.4879i | 1.37104 | − | 1.14874i | ||||
\(616\) | −8.14091 | − | 12.3310i | −0.328006 | − | 0.496829i | ||||
\(617\) | 9.07671 | + | 5.24044i | 0.365415 | + | 0.210972i | 0.671453 | − | 0.741047i | \(-0.265670\pi\) |
−0.306039 | + | 0.952019i | \(0.599004\pi\) | |||||||
\(618\) | 5.36071 | + | 1.95554i | 0.215639 | + | 0.0786633i | ||||
\(619\) | 3.18142 | + | 1.83679i | 0.127872 | + | 0.0738269i | 0.562571 | − | 0.826749i | \(-0.309812\pi\) |
−0.434700 | + | 0.900576i | \(0.643145\pi\) | |||||||
\(620\) | 4.41241 | − | 2.54751i | 0.177207 | − | 0.102310i | ||||
\(621\) | 0.0510720 | − | 23.4985i | 0.00204945 | − | 0.942964i | ||||
\(622\) | 15.6199 | − | 9.01815i | 0.626300 | − | 0.361595i | ||||
\(623\) | 3.57652 | − | 0.214540i | 0.143290 | − | 0.00859535i | ||||
\(624\) | 1.85790 | + | 5.96223i | 0.0743754 | + | 0.238680i | ||||
\(625\) | 3.42694 | + | 5.93563i | 0.137077 | + | 0.237425i | ||||
\(626\) | −20.9175 | −0.836031 | ||||||||
\(627\) | 65.6974 | + | 23.9658i | 2.62370 | + | 0.957102i | ||||
\(628\) | − | 16.0812i | − | 0.641711i | ||||||
\(629\) | −7.43870 | −0.296600 | ||||||||
\(630\) | 27.8058 | + | 3.24194i | 1.10781 | + | 0.129162i | ||||
\(631\) | −3.19085 | + | 5.52672i | −0.127026 | + | 0.220015i | −0.922523 | − | 0.385942i | \(-0.873876\pi\) |
0.795497 | + | 0.605957i | \(0.207210\pi\) | |||||||
\(632\) | −7.75854 | + | 4.47939i | −0.308618 | + | 0.178181i | ||||
\(633\) | 1.78367 | + | 10.1587i | 0.0708947 | + | 0.403774i | ||||
\(634\) | 14.1142 | 0.560548 | ||||||||
\(635\) | −8.11098 | + | 14.0486i | −0.321874 | + | 0.557503i | ||||
\(636\) | 6.39907 | − | 17.5418i | 0.253740 | − | 0.695576i | ||||
\(637\) | 17.6003 | + | 18.0895i | 0.697349 | + | 0.716731i | ||||
\(638\) | − | 3.05221i | − | 0.120838i | ||||||
\(639\) | 1.19480 | + | 3.29756i | 0.0472657 | + | 0.130449i | ||||
\(640\) | 3.52693i | 0.139414i | ||||||||
\(641\) | −12.0384 | + | 6.95037i | −0.475488 | + | 0.274523i | −0.718534 | − | 0.695492i | \(-0.755187\pi\) |
0.243046 | + | 0.970015i | \(0.421853\pi\) | |||||||
\(642\) | −0.452809 | − | 2.57893i | −0.0178710 | − | 0.101782i | ||||
\(643\) | 15.1084 | + | 8.72286i | 0.595818 | + | 0.343996i | 0.767395 | − | 0.641175i | \(-0.221553\pi\) |
−0.171576 | + | 0.985171i | \(0.554886\pi\) | |||||||
\(644\) | 9.98509 | − | 6.59216i | 0.393468 | − | 0.259768i | ||||
\(645\) | 0.814851 | + | 0.297250i | 0.0320847 | + | 0.0117042i | ||||
\(646\) | −19.8852 | −0.782374 | ||||||||
\(647\) | −35.2949 | −1.38758 | −0.693792 | − | 0.720175i | \(-0.744061\pi\) | ||||
−0.693792 | + | 0.720175i | \(0.744061\pi\) | |||||||
\(648\) | 8.86776 | − | 1.53714i | 0.348359 | − | 0.0603847i | ||||
\(649\) | 35.9297 | − | 20.7440i | 1.41037 | − | 0.814275i | ||||
\(650\) | −3.43101 | − | 26.6022i | −0.134575 | − | 1.04343i | ||||
\(651\) | 1.89222 | − | 6.34381i | 0.0741620 | − | 0.248634i | ||||
\(652\) | 3.59628 | + | 6.22894i | 0.140841 | + | 0.243944i | ||||
\(653\) | 31.1330 | + | 17.9747i | 1.21833 | + | 0.703402i | 0.964560 | − | 0.263863i | \(-0.0849965\pi\) |
0.253768 | + | 0.967265i | \(0.418330\pi\) | |||||||
\(654\) | −20.4422 | + | 3.58924i | −0.799353 | + | 0.140350i | ||||
\(655\) | −7.14770 | + | 12.3802i | −0.279284 | + | 0.483733i | ||||
\(656\) | 7.26124 | 0.283504 | ||||||||
\(657\) | 13.2191 | + | 36.4836i | 0.515726 | + | 1.42336i | ||||
\(658\) | 8.67159 | − | 5.72499i | 0.338054 | − | 0.223183i | ||||
\(659\) | −8.28033 | − | 4.78065i | −0.322556 | − | 0.186228i | 0.329975 | − | 0.943990i | \(-0.392960\pi\) |
−0.652531 | + | 0.757762i | \(0.726293\pi\) | |||||||
\(660\) | 21.9106 | + | 26.1505i | 0.852869 | + | 1.01791i | ||||
\(661\) | 19.2554i | 0.748948i | 0.927237 | + | 0.374474i | \(0.122177\pi\) | ||||
−0.927237 | + | 0.374474i | \(0.877823\pi\) | |||||||
\(662\) | −2.02005 | − | 1.16628i | −0.0785114 | − | 0.0453286i | ||||
\(663\) | −16.7574 | − | 3.77411i | −0.650804 | − | 0.146574i | ||||
\(664\) | − | 3.92570i | − | 0.152347i | ||||||
\(665\) | −60.3385 | − | 30.1721i | −2.33983 | − | 1.17002i | ||||
\(666\) | −7.98802 | − | 1.42044i | −0.309529 | − | 0.0550410i | ||||
\(667\) | 2.47155 | 0.0956987 | ||||||||
\(668\) | 3.75042 | − | 6.49592i | 0.145108 | − | 0.251335i | ||||
\(669\) | −15.3740 | + | 2.69937i | −0.594395 | + | 0.104364i | ||||
\(670\) | 37.1031i | 1.43342i | ||||||||
\(671\) | −69.7813 | −2.69388 | ||||||||
\(672\) | 3.14812 | + | 3.33006i | 0.121442 | + | 0.128460i | ||||
\(673\) | −10.1725 | − | 17.6192i | −0.392120 | − | 0.679172i | 0.600609 | − | 0.799543i | \(-0.294925\pi\) |
−0.992729 | + | 0.120371i | \(0.961592\pi\) | |||||||
\(674\) | −29.2083 | − | 16.8634i | −1.12506 | − | 0.649555i | ||||
\(675\) | −38.6554 | − | 0.0840140i | −1.48785 | − | 0.00323370i | ||||
\(676\) | 3.43074 | − | 12.5391i | 0.131951 | − | 0.482275i | ||||
\(677\) | 0.353311 | + | 0.611953i | 0.0135788 | + | 0.0235193i | 0.872735 | − | 0.488194i | \(-0.162344\pi\) |
−0.859156 | + | 0.511714i | \(0.829011\pi\) | |||||||
\(678\) | 1.23777 | + | 7.04962i | 0.0475364 | + | 0.270739i | ||||
\(679\) | 2.03291 | + | 33.8899i | 0.0780158 | + | 1.30058i | ||||
\(680\) | −8.40131 | − | 4.85050i | −0.322175 | − | 0.186008i | ||||
\(681\) | −7.55018 | − | 43.0013i | −0.289324 | − | 1.64782i | ||||
\(682\) | 6.98689 | − | 4.03388i | 0.267542 | − | 0.154465i | ||||
\(683\) | −27.7948 | + | 16.0474i | −1.06354 | + | 0.614035i | −0.926409 | − | 0.376518i | \(-0.877121\pi\) |
−0.137131 | + | 0.990553i | \(0.543788\pi\) | |||||||
\(684\) | −21.3537 | − | 3.79714i | −0.816479 | − | 0.145187i | ||||
\(685\) | 8.13495 | + | 4.69671i | 0.310820 | + | 0.179452i | ||||
\(686\) | 17.4361 | + | 6.24357i | 0.665714 | + | 0.238381i | ||||
\(687\) | −12.1810 | + | 2.13875i | −0.464736 | + | 0.0815983i | ||||
\(688\) | 0.0709937 | + | 0.122965i | 0.00270661 | + | 0.00468798i | ||||
\(689\) | −30.8997 | + | 23.5812i | −1.17719 | + | 0.898371i | ||||
\(690\) | −21.1756 | + | 17.7423i | −0.806141 | + | 0.675438i | ||||
\(691\) | 33.8912 | + | 19.5671i | 1.28928 | + | 0.744366i | 0.978526 | − | 0.206124i | \(-0.0660850\pi\) |
0.310754 | + | 0.950490i | \(0.399418\pi\) | |||||||
\(692\) | 11.0331 | + | 19.1098i | 0.419414 | + | 0.726446i | ||||
\(693\) | 44.0294 | + | 5.13348i | 1.67254 | + | 0.195005i | ||||
\(694\) | −2.95977 | −0.112351 | ||||||||
\(695\) | − | 51.3749i | − | 1.94876i | ||||||
\(696\) | 0.163701 | + | 0.932345i | 0.00620508 | + | 0.0353404i | ||||
\(697\) | −9.98620 | + | 17.2966i | −0.378254 | + | 0.655155i | ||||
\(698\) | −8.99213 | −0.340357 | ||||||||
\(699\) | −36.9348 | + | 6.48502i | −1.39700 | + | 0.245286i | ||||
\(700\) | −10.8442 | − | 16.4256i | −0.409872 | − | 0.620829i | ||||
\(701\) | − | 17.9693i | − | 0.678690i | −0.940662 | − | 0.339345i | \(-0.889795\pi\) | ||
0.940662 | − | 0.339345i | \(-0.110205\pi\) | |||||||
\(702\) | −17.2742 | − | 7.25269i | −0.651973 | − | 0.273735i | ||||
\(703\) | 16.9325 | + | 9.77596i | 0.638620 | + | 0.368707i | ||||
\(704\) | 5.58476i | 0.210484i | ||||||||
\(705\) | −18.3900 | + | 15.4084i | −0.692608 | + | 0.580312i | ||||
\(706\) | 13.5379 | + | 7.81614i | 0.509507 | + | 0.294164i | ||||
\(707\) | −11.2684 | − | 17.0682i | −0.423793 | − | 0.641916i | ||||
\(708\) | −9.86273 | + | 8.26364i | −0.370664 | + | 0.310567i | ||||
\(709\) | −14.1082 | −0.529843 | −0.264921 | − | 0.964270i | \(-0.585346\pi\) | ||||
−0.264921 | + | 0.964270i | \(0.585346\pi\) | |||||||
\(710\) | 2.06169 | − | 3.57095i | 0.0773739 | − | 0.134015i | ||||
\(711\) | 4.70538 | − | 26.4613i | 0.176465 | − | 0.992375i | ||||
\(712\) | −1.17279 | − | 0.677113i | −0.0439523 | − | 0.0253759i | ||||
\(713\) | 3.26647 | + | 5.65769i | 0.122330 | + | 0.211882i | ||||
\(714\) | −12.2619 | + | 2.91923i | −0.458890 | + | 0.109249i | ||||
\(715\) | −9.08436 | − | 70.4354i | −0.339736 | − | 2.63413i | ||||
\(716\) | −9.63731 | + | 5.56410i | −0.360163 | + | 0.207940i | ||||
\(717\) | −13.8272 | + | 37.9046i | −0.516388 | + | 1.41557i | ||||
\(718\) | 8.29071 | 0.309406 | ||||||||
\(719\) | −6.22271 | −0.232068 | −0.116034 | − | 0.993245i | \(-0.537018\pi\) | ||||
−0.116034 | + | 0.993245i | \(0.537018\pi\) | |||||||
\(720\) | −8.09550 | − | 6.81294i | −0.301701 | − | 0.253903i | ||||
\(721\) | −7.79608 | − | 3.89840i | −0.290341 | − | 0.145184i | ||||
\(722\) | 28.8096 | + | 16.6332i | 1.07218 | + | 0.619025i | ||||
\(723\) | 1.59659 | − | 0.280329i | 0.0593778 | − | 0.0104256i | ||||
\(724\) | −2.84559 | + | 1.64290i | −0.105755 | + | 0.0610579i | ||||
\(725\) | − | 4.06572i | − | 0.150997i | ||||||
\(726\) | 22.4585 | + | 26.8044i | 0.833511 | + | 0.994803i | ||||
\(727\) | 28.3604i | 1.05183i | 0.850537 | + | 0.525915i | \(0.176277\pi\) | ||||
−0.850537 | + | 0.525915i | \(0.823723\pi\) | |||||||
\(728\) | −1.78455 | − | 9.37099i | −0.0661397 | − | 0.347312i | ||||
\(729\) | −13.6015 | + | 23.3238i | −0.503760 | + | 0.863844i | ||||
\(730\) | 22.8102 | − | 39.5084i | 0.844243 | − | 1.46227i | ||||
\(731\) | −0.390543 | −0.0144447 | ||||||||
\(732\) | 21.3158 | − | 3.74263i | 0.787855 | − | 0.138332i | ||||
\(733\) | −21.0117 | + | 12.1311i | −0.776086 | + | 0.448073i | −0.835041 | − | 0.550187i | \(-0.814556\pi\) |
0.0589554 | + | 0.998261i | \(0.481223\pi\) | |||||||
\(734\) | −13.7155 | + | 23.7559i | −0.506248 | + | 0.876847i | ||||
\(735\) | −41.6361 | − | 9.74717i | −1.53577 | − | 0.359530i | ||||
\(736\) | −4.52231 | −0.166694 | ||||||||
\(737\) | 58.7514i | 2.16414i | ||||||||
\(738\) | −14.0265 | + | 16.6670i | −0.516322 | + | 0.613521i | ||||
\(739\) | −10.9315 | −0.402120 | −0.201060 | − | 0.979579i | \(-0.564439\pi\) | ||||
−0.201060 | + | 0.979579i | \(0.564439\pi\) | |||||||
\(740\) | 4.76919 | + | 8.26048i | 0.175319 | + | 0.303661i | ||||
\(741\) | 33.1844 | + | 30.6135i | 1.21906 | + | 1.12462i | ||||
\(742\) | −12.7567 | + | 25.5110i | −0.468312 | + | 0.936537i | ||||
\(743\) | 32.1661 | − | 18.5711i | 1.18006 | − | 0.681307i | 0.224031 | − | 0.974582i | \(-0.428078\pi\) |
0.956028 | + | 0.293275i | \(0.0947451\pi\) | |||||||
\(744\) | −1.91790 | + | 1.60695i | −0.0703138 | + | 0.0589135i | ||||
\(745\) | −21.5703 | + | 12.4536i | −0.790276 | + | 0.456266i | ||||
\(746\) | −28.7117 | − | 16.5767i | −1.05121 | − | 0.606916i | ||||
\(747\) | 9.01080 | + | 7.58324i | 0.329688 | + | 0.277456i | ||||
\(748\) | −13.3031 | − | 7.68058i | −0.486411 | − | 0.280830i | ||||
\(749\) | 0.239491 | + | 3.99247i | 0.00875080 | + | 0.145882i | ||||
\(750\) | 9.56985 | + | 11.4217i | 0.349441 | + | 0.417061i | ||||
\(751\) | 4.68281 | − | 8.11087i | 0.170878 | − | 0.295970i | −0.767849 | − | 0.640631i | \(-0.778673\pi\) |
0.938727 | + | 0.344661i | \(0.112006\pi\) | |||||||
\(752\) | −3.92741 | −0.143218 | ||||||||
\(753\) | −32.9282 | + | 27.5894i | −1.19997 | + | 1.00541i | ||||
\(754\) | 0.758877 | − | 1.81853i | 0.0276367 | − | 0.0662270i | ||||
\(755\) | −2.69354 | −0.0980278 | ||||||||
\(756\) | −13.7248 | + | 0.793358i | −0.499167 | + | 0.0288542i | ||||
\(757\) | 19.2229 | + | 33.2950i | 0.698667 | + | 1.21013i | 0.968929 | + | 0.247340i | \(0.0795564\pi\) |
−0.270262 | + | 0.962787i | \(0.587110\pi\) | |||||||
\(758\) | − | 17.3129i | − | 0.628831i | ||||||
\(759\) | −33.5307 | + | 28.0943i | −1.21709 | + | 1.01976i | ||||
\(760\) | 12.7491 | + | 22.0820i | 0.462457 | + | 0.801000i | ||||
\(761\) | 32.4386 | 1.17590 | 0.587950 | − | 0.808898i | \(-0.299935\pi\) | ||||
0.587950 | + | 0.808898i | \(0.299935\pi\) | |||||||
\(762\) | 2.73012 | − | 7.48407i | 0.0989019 | − | 0.271119i | ||||
\(763\) | 31.6467 | − | 1.89835i | 1.14569 | − | 0.0687249i | ||||
\(764\) | 1.96531 | − | 1.13467i | 0.0711022 | − | 0.0410509i | ||||
\(765\) | 27.3622 | − | 9.91417i | 0.989284 | − | 0.358447i | ||||
\(766\) | 10.3789 | + | 5.99225i | 0.375004 | + | 0.216509i | ||||
\(767\) | 26.5649 | − | 3.42619i | 0.959202 | − | 0.123713i | ||||
\(768\) | −0.299532 | − | 1.70595i | −0.0108084 | − | 0.0615583i | ||||
\(769\) | −24.3005 | + | 14.0299i | −0.876299 | + | 0.505931i | −0.869436 | − | 0.494045i | \(-0.835518\pi\) |
−0.00686245 | + | 0.999976i | \(0.502184\pi\) | |||||||
\(770\) | −28.7124 | − | 43.4905i | −1.03472 | − | 1.56729i | ||||
\(771\) | 37.7336 | − | 31.6157i | 1.35894 | − | 1.13861i | ||||
\(772\) | 8.00636 | + | 13.8674i | 0.288155 | + | 0.499100i | ||||
\(773\) | −4.92641 | − | 8.53280i | −0.177191 | − | 0.306903i | 0.763726 | − | 0.645540i | \(-0.223368\pi\) |
−0.940917 | + | 0.338637i | \(0.890034\pi\) | |||||||
\(774\) | −0.419383 | − | 0.0745753i | −0.0150744 | − | 0.00268055i | ||||
\(775\) | 9.30696 | − | 5.37338i | 0.334316 | − | 0.193017i | ||||
\(776\) | 6.41610 | − | 11.1130i | 0.230325 | − | 0.398934i | ||||
\(777\) | 11.8763 | + | 3.54243i | 0.426058 | + | 0.127084i | ||||
\(778\) | 3.84496 | + | 6.65966i | 0.137848 | + | 0.238760i | ||||
\(779\) | 45.4625 | − | 26.2478i | 1.62886 | − | 0.940424i | ||||
\(780\) | 6.55268 | + | 21.0284i | 0.234623 | + | 0.752937i | ||||
\(781\) | 3.26461 | − | 5.65447i | 0.116817 | − | 0.202333i | ||||
\(782\) | 6.21941 | − | 10.7723i | 0.222406 | − | 0.385218i | ||||
\(783\) | −2.45627 | − | 1.42525i | −0.0877798 | − | 0.0509344i | ||||
\(784\) | −4.19958 | − | 5.60031i | −0.149985 | − | 0.200011i | ||||
\(785\) | − | 56.7174i | − | 2.02433i | ||||||
\(786\) | 2.40589 | − | 6.59525i | 0.0858151 | − | 0.235245i | ||||
\(787\) | 26.9875 | − | 15.5813i | 0.962002 | − | 0.555412i | 0.0652133 | − | 0.997871i | \(-0.479227\pi\) |
0.896789 | + | 0.442459i | \(0.145894\pi\) | |||||||
\(788\) | 20.3601 | + | 11.7549i | 0.725299 | + | 0.418752i | ||||
\(789\) | −7.60317 | + | 20.8426i | −0.270680 | + | 0.742015i | ||||
\(790\) | −27.3638 | + | 15.7985i | −0.973561 | + | 0.562086i | ||||
\(791\) | −0.654658 | − | 10.9136i | −0.0232770 | − | 0.388042i | ||||
\(792\) | −12.8189 | − | 10.7880i | −0.455500 | − | 0.383336i | ||||
\(793\) | −41.5763 | − | 17.3499i | −1.47642 | − | 0.616112i | ||||
\(794\) | 1.00702 | − | 1.74420i | 0.0357377 | − | 0.0618995i | ||||
\(795\) | 22.5691 | − | 61.8686i | 0.800443 | − | 2.19425i | ||||
\(796\) | 3.78078 | + | 2.18284i | 0.134006 | + | 0.0773686i | ||||
\(797\) | 9.23872 | − | 16.0019i | 0.327252 | − | 0.566817i | −0.654713 | − | 0.755877i | \(-0.727211\pi\) |
0.981966 | + | 0.189060i | \(0.0605440\pi\) | |||||||
\(798\) | 31.7478 | + | 9.46967i | 1.12386 | + | 0.335223i | ||||
\(799\) | 5.40127 | − | 9.35527i | 0.191083 | − | 0.330966i | ||||
\(800\) | 7.43924i | 0.263017i | ||||||||
\(801\) | 3.81968 | − | 1.38399i | 0.134962 | − | 0.0489007i | ||||
\(802\) | 14.8191 | + | 25.6675i | 0.523282 | + | 0.906352i | ||||
\(803\) | 36.1191 | − | 62.5601i | 1.27461 | − | 2.20770i | ||||
\(804\) | −3.15106 | − | 17.9466i | −0.111129 | − | 0.632926i | ||||
\(805\) | 35.2167 | − | 23.2501i | 1.24123 | − | 0.819459i | ||||
\(806\) | 5.16580 | − | 0.666256i | 0.181958 | − | 0.0234679i | ||||
\(807\) | −1.63860 | − | 9.33247i | −0.0576813 | − | 0.328519i | ||||
\(808\) | 7.73029i | 0.271951i | ||||||||
\(809\) | 23.5603i | 0.828337i | 0.910200 | + | 0.414168i | \(0.135928\pi\) | ||||
−0.910200 | + | 0.414168i | \(0.864072\pi\) | |||||||
\(810\) | 31.2760 | − | 5.42140i | 1.09893 | − | 0.190488i | ||||
\(811\) | − | 45.8210i | − | 1.60899i | −0.593957 | − | 0.804497i | \(-0.702435\pi\) | ||
0.593957 | − | 0.804497i | \(-0.297565\pi\) | |||||||
\(812\) | −0.0865815 | − | 1.44337i | −0.00303842 | − | 0.0506524i | ||||
\(813\) | 5.02105 | + | 5.99266i | 0.176096 | + | 0.210172i | ||||
\(814\) | 7.55184 | + | 13.0802i | 0.264692 | + | 0.458459i | ||||
\(815\) | 12.6838 | + | 21.9690i | 0.444295 | + | 0.769542i | ||||
\(816\) | 4.47560 | + | 1.63266i | 0.156677 | + | 0.0571544i | ||||
\(817\) | 0.888979 | + | 0.513253i | 0.0311015 | + | 0.0179564i | ||||
\(818\) | 22.6776 | 0.792904 | ||||||||
\(819\) | 24.9568 | + | 14.0057i | 0.872060 | + | 0.489399i | ||||
\(820\) | 25.6099 | 0.894337 | ||||||||
\(821\) | −24.8731 | − | 14.3605i | −0.868078 | − | 0.501185i | −0.00136886 | − | 0.999999i | \(-0.500436\pi\) |
−0.866709 | + | 0.498814i | \(0.833769\pi\) | |||||||
\(822\) | −4.33370 | − | 1.58089i | −0.151155 | − | 0.0551400i | ||||
\(823\) | 3.36657 | + | 5.83107i | 0.117351 | + | 0.203258i | 0.918717 | − | 0.394916i | \(-0.129226\pi\) |
−0.801366 | + | 0.598174i | \(0.795893\pi\) | |||||||
\(824\) | 1.64725 | + | 2.85313i | 0.0573848 | + | 0.0993934i | ||||
\(825\) | 46.2154 | + | 55.1584i | 1.60901 | + | 1.92037i | ||||
\(826\) | 16.4025 | − | 10.8290i | 0.570717 | − | 0.376788i | ||||
\(827\) | 31.0993i | 1.08143i | 0.841207 | + | 0.540714i | \(0.181846\pi\) | ||||
−0.841207 | + | 0.540714i | \(0.818154\pi\) | |||||||
\(828\) | 8.73570 | − | 10.3802i | 0.303586 | − | 0.360737i | ||||
\(829\) | 37.5283i | 1.30341i | 0.758471 | + | 0.651707i | \(0.225947\pi\) | ||||
−0.758471 | + | 0.651707i | \(0.774053\pi\) | |||||||
\(830\) | − | 13.8457i | − | 0.480590i | ||||||
\(831\) | 0.828462 | + | 4.71843i | 0.0287390 | + | 0.163681i | ||||
\(832\) | −1.38855 | + | 3.32745i | −0.0481394 | + | 0.115359i | ||||
\(833\) | 19.1158 | − | 2.30162i | 0.662322 | − | 0.0797465i | ||||
\(834\) | 4.36311 | + | 24.8497i | 0.151082 | + | 0.860475i | ||||
\(835\) | 13.2275 | − | 22.9107i | 0.457756 | − | 0.792856i | ||||
\(836\) | 20.1877 | + | 34.9661i | 0.698205 | + | 1.20933i | ||||
\(837\) | 0.0163144 | − | 7.50636i | 0.000563909 | − | 0.259458i | ||||
\(838\) | 4.03438i | 0.139365i | ||||||||
\(839\) | 12.6736 | − | 21.9513i | 0.437540 | − | 0.757841i | −0.559959 | − | 0.828520i | \(-0.689183\pi\) |
0.997499 | + | 0.0706787i | \(0.0225165\pi\) | |||||||
\(840\) | 11.1032 | + | 11.7449i | 0.383097 | + | 0.405237i | ||||
\(841\) | −14.3507 | + | 24.8561i | −0.494850 | + | 0.857106i | ||||
\(842\) | 6.25139 | + | 3.60924i | 0.215437 | + | 0.124383i | ||||
\(843\) | −2.70731 | + | 7.42153i | −0.0932446 | + | 0.255611i | ||||
\(844\) | −2.97744 | + | 5.15707i | −0.102488 | + | 0.177514i | ||||
\(845\) | 12.1000 | − | 44.2247i | 0.416252 | − | 1.52138i | ||||
\(846\) | 7.58654 | − | 9.01473i | 0.260831 | − | 0.309933i | ||||
\(847\) | −29.4303 | − | 44.5779i | −1.01124 | − | 1.53171i | ||||
\(848\) | 9.33624 | − | 5.39028i | 0.320608 | − | 0.185103i | ||||
\(849\) | 6.44773 | − | 17.6751i | 0.221286 | − | 0.606609i | ||||
\(850\) | −17.7206 | − | 10.2310i | −0.607812 | − | 0.350920i | ||||
\(851\) | −10.5918 | + | 6.11516i | −0.363081 | + | 0.209625i | ||||
\(852\) | −0.693957 | + | 1.90234i | −0.0237746 | + | 0.0651731i | ||||
\(853\) | 9.89084i | 0.338656i | 0.985560 | + | 0.169328i | \(0.0541597\pi\) | ||||
−0.985560 | + | 0.169328i | \(0.945840\pi\) | |||||||
\(854\) | −32.9992 | + | 1.97948i | −1.12921 | + | 0.0677363i | ||||
\(855\) | −75.3130 | − | 13.3923i | −2.57565 | − | 0.458005i | ||||
\(856\) | 0.755862 | − | 1.30919i | 0.0258348 | − | 0.0447472i | ||||
\(857\) | 0.210413 | − | 0.364446i | 0.00718757 | − | 0.0124492i | −0.862409 | − | 0.506212i | \(-0.831045\pi\) |
0.869597 | + | 0.493762i | \(0.164379\pi\) | |||||||
\(858\) | 10.3759 | + | 33.2976i | 0.354228 | + | 1.13676i | ||||
\(859\) | −7.74209 | + | 4.46990i | −0.264157 | + | 0.152511i | −0.626229 | − | 0.779639i | \(-0.715403\pi\) |
0.362073 | + | 0.932150i | \(0.382069\pi\) | |||||||
\(860\) | 0.250390 | + | 0.433688i | 0.00853822 | + | 0.0147886i | ||||
\(861\) | 24.1804 | − | 22.8593i | 0.824065 | − | 0.779043i | ||||
\(862\) | 9.20149 | − | 15.9374i | 0.313404 | − | 0.542832i | ||||
\(863\) | 12.6784 | − | 7.31989i | 0.431578 | − | 0.249172i | −0.268441 | − | 0.963296i | \(-0.586508\pi\) |
0.700019 | + | 0.714124i | \(0.253175\pi\) | |||||||
\(864\) | 4.49434 | + | 2.60785i | 0.152901 | + | 0.0887209i | ||||
\(865\) | 38.9128 | + | 67.3990i | 1.32308 | + | 2.29163i | ||||
\(866\) | 1.07858 | + | 1.86816i | 0.0366518 | + | 0.0634827i | ||||
\(867\) | 12.5255 | − | 10.4947i | 0.425390 | − | 0.356420i | ||||
\(868\) | 3.18963 | − | 2.10580i | 0.108263 | − | 0.0714754i | ||||
\(869\) | −43.3296 | + | 25.0163i | −1.46986 | + | 0.848621i | ||||
\(870\) | 0.577363 | + | 3.28832i | 0.0195744 | + | 0.111484i | ||||
\(871\) | −14.6075 | + | 35.0046i | −0.494956 | + | 1.18609i | ||||
\(872\) | −10.3775 | − | 5.99142i | −0.351425 | − | 0.202895i | ||||
\(873\) | 13.1142 | + | 36.1940i | 0.443848 | + | 1.22498i | ||||
\(874\) | −28.3141 | + | 16.3471i | −0.957737 | + | 0.552950i | ||||
\(875\) | −12.5407 | − | 18.9952i | −0.423952 | − | 0.642156i | ||||
\(876\) | −7.67781 | + | 21.0472i | −0.259409 | + | 0.711118i | ||||
\(877\) | −25.3286 | −0.855287 | −0.427644 | − | 0.903947i | \(-0.640656\pi\) | ||||
−0.427644 | + | 0.903947i | \(0.640656\pi\) | |||||||
\(878\) | 17.9708 | + | 31.1263i | 0.606485 | + | 1.05046i | ||||
\(879\) | 6.04935 | − | 5.06854i | 0.204040 | − | 0.170958i | ||||
\(880\) | 19.6971i | 0.663988i | ||||||||
\(881\) | 8.55127 | + | 14.8112i | 0.288100 | + | 0.499003i | 0.973356 | − | 0.229299i | \(-0.0736432\pi\) |
−0.685256 | + | 0.728302i | \(0.740310\pi\) | |||||||
\(882\) | 20.9669 | + | 1.17862i | 0.705992 | + | 0.0396862i | ||||
\(883\) | −22.9146 | −0.771139 | −0.385570 | − | 0.922679i | \(-0.625995\pi\) | ||||
−0.385570 | + | 0.922679i | \(0.625995\pi\) | |||||||
\(884\) | −6.01649 | − | 7.88375i | −0.202357 | − | 0.265159i | ||||
\(885\) | −34.7852 | + | 29.1453i | −1.16929 | + | 0.979709i | ||||
\(886\) | 13.8994 | 0.466961 | ||||||||
\(887\) | −18.9345 | + | 32.7956i | −0.635759 | + | 1.10117i | 0.350594 | + | 0.936527i | \(0.385980\pi\) |
−0.986354 | + | 0.164640i | \(0.947354\pi\) | |||||||
\(888\) | −3.00837 | − | 3.59051i | −0.100954 | − | 0.120490i | ||||
\(889\) | −5.44255 | + | 10.8841i | −0.182537 | + | 0.365041i | ||||
\(890\) | −4.13637 | − | 2.38813i | −0.138651 | − | 0.0800504i | ||||
\(891\) | 49.5243 | − | 8.58457i | 1.65913 | − | 0.287594i | ||||
\(892\) | −7.80461 | − | 4.50599i | −0.261318 | − | 0.150872i | ||||
\(893\) | −24.5894 | + | 14.1967i | −0.822854 | + | 0.475075i | ||||
\(894\) | 9.37579 | − | 7.85566i | 0.313573 | − | 0.262732i | ||||
\(895\) | −33.9901 | + | 19.6242i | −1.13616 | + | 0.655965i | ||||
\(896\) | 0.158422 | + | 2.64100i | 0.00529252 | + | 0.0882298i | ||||
\(897\) | −26.9630 | + | 8.40198i | −0.900270 | + | 0.280534i | ||||
\(898\) | −4.04833 | − | 7.01192i | −0.135095 | − | 0.233991i | ||||
\(899\) | 0.789510 | 0.0263316 | ||||||||
\(900\) | −17.0756 | − | 14.3703i | −0.569186 | − | 0.479011i | ||||
\(901\) | 29.6524i | 0.987866i | ||||||||
\(902\) | 40.5523 | 1.35024 | ||||||||
\(903\) | 0.623521 | + | 0.185983i | 0.0207495 | + | 0.00618912i | ||||
\(904\) | −2.06618 | + | 3.57873i | −0.0687201 | + | 0.119027i | ||||
\(905\) | −10.0362 | + | 5.79440i | −0.333614 | + | 0.192612i | ||||
\(906\) | 1.30285 | − | 0.228754i | 0.0432842 | − | 0.00759984i | ||||
\(907\) | 21.7841 | 0.723328 | 0.361664 | − | 0.932309i | \(-0.382209\pi\) | ||||
0.361664 | + | 0.932309i | \(0.382209\pi\) | |||||||
\(908\) | 12.6033 | − | 21.8296i | 0.418256 | − | 0.724440i | ||||
\(909\) | −17.7436 | − | 14.9325i | −0.588519 | − | 0.495281i | ||||
\(910\) | −6.29398 | − | 33.0508i | −0.208643 | − | 1.09562i | ||||
\(911\) | − | 18.1187i | − | 0.600299i | −0.953892 | − | 0.300149i | \(-0.902963\pi\) | ||
0.953892 | − | 0.300149i | \(-0.0970365\pi\) | |||||||
\(912\) | −8.04201 | − | 9.59820i | −0.266297 | − | 0.317828i | ||||
\(913\) | − | 21.9241i | − | 0.725582i | ||||||
\(914\) | −12.9786 | + | 7.49317i | −0.429292 | + | 0.247852i | ||||
\(915\) | 75.1794 | − | 13.2000i | 2.48535 | − | 0.436379i | ||||
\(916\) | −6.18369 | − | 3.57015i | −0.204315 | − | 0.117961i | ||||
\(917\) | −4.79618 | + | 9.59147i | −0.158384 | + | 0.316738i | ||||
\(918\) | −12.3930 | + | 7.11921i | −0.409029 | + | 0.234969i | ||||
\(919\) | −48.4072 | −1.59681 | −0.798403 | − | 0.602123i | \(-0.794322\pi\) | ||||
−0.798403 | + | 0.602123i | \(0.794322\pi\) | |||||||
\(920\) | −15.9499 | −0.525851 | ||||||||
\(921\) | −8.45853 | + | 23.1873i | −0.278718 | + | 0.764049i | ||||
\(922\) | 33.1598 | − | 19.1448i | 1.09206 | − | 0.630500i | ||||
\(923\) | 3.35097 | − | 2.55729i | 0.110298 | − | 0.0841744i | ||||
\(924\) | 17.5815 | + | 18.5976i | 0.578390 | + | 0.611816i | ||||
\(925\) | 10.0595 | + | 17.4236i | 0.330754 | + | 0.572884i | ||||
\(926\) | 29.1320 | + | 16.8194i | 0.957337 | + | 0.552719i | ||||
\(927\) | −9.73087 | − | 1.73036i | −0.319604 | − | 0.0568324i | ||||
\(928\) | −0.273262 | + | 0.473303i | −0.00897026 | + | 0.0155369i | ||||
\(929\) | −14.1076 | −0.462855 | −0.231427 | − | 0.972852i | \(-0.574340\pi\) | ||||
−0.231427 | + | 0.972852i | \(0.574340\pi\) | |||||||
\(930\) | −6.76432 | + | 5.66759i | −0.221811 | + | 0.185848i | ||||
\(931\) | −46.5374 | − | 19.8829i | −1.52520 | − | 0.651635i | ||||
\(932\) | −18.7499 | − | 10.8253i | −0.614174 | − | 0.354594i | ||||
\(933\) | −23.9456 | + | 20.0632i | −0.783944 | + | 0.656840i | ||||
\(934\) | − | 39.1301i | − | 1.28037i | ||||||
\(935\) | −46.9193 | − | 27.0889i | −1.53442 | − | 0.885901i | ||||
\(936\) | −4.95537 | − | 9.61480i | −0.161971 | − | 0.314270i | ||||
\(937\) | 28.8937i | 0.943916i | 0.881621 | + | 0.471958i | \(0.156453\pi\) | ||||
−0.881621 | + | 0.471958i | \(0.843547\pi\) | |||||||
\(938\) | 1.66659 | + | 27.7832i | 0.0544162 | + | 0.907155i | ||||
\(939\) | 35.6843 | − | 6.26545i | 1.16451 | − | 0.204465i | ||||
\(940\) | −13.8517 | −0.451793 | ||||||||
\(941\) | 23.8512 | − | 41.3114i | 0.777525 | − | 1.34671i | −0.155839 | − | 0.987782i | \(-0.549808\pi\) |
0.933364 | − | 0.358931i | \(-0.116859\pi\) | |||||||
\(942\) | 4.81684 | + | 27.4338i | 0.156941 | + | 0.893843i | ||||
\(943\) | 32.8376i | 1.06934i | ||||||||
\(944\) | −7.42880 | −0.241787 | ||||||||
\(945\) | −48.4065 | + | 2.79812i | −1.57466 | + | 0.0910229i | ||||
\(946\) | 0.396483 | + | 0.686728i | 0.0128908 | + | 0.0223275i | ||||
\(947\) | −45.5749 | − | 26.3127i | −1.48099 | − | 0.855048i | −0.481218 | − | 0.876601i | \(-0.659806\pi\) |
−0.999768 | + | 0.0215531i | \(0.993139\pi\) | |||||||
\(948\) | 11.8940 | − | 9.96557i | 0.386299 | − | 0.323667i | ||||
\(949\) | 37.0745 | − | 28.2935i | 1.20349 | − | 0.918445i | ||||
\(950\) | 26.8912 | + | 46.5769i | 0.872466 | + | 1.51116i | ||||
\(951\) | −24.0782 | + | 4.22766i | −0.780790 | + | 0.137091i | ||||
\(952\) | −6.50886 | − | 3.25473i | −0.210953 | − | 0.105487i | ||||
\(953\) | 12.9345 | + | 7.46774i | 0.418990 | + | 0.241904i | 0.694645 | − | 0.719353i | \(-0.255561\pi\) |
−0.275655 | + | 0.961257i | \(0.588895\pi\) | |||||||
\(954\) | −5.66222 | + | 31.8422i | −0.183321 | + | 1.03093i | ||||
\(955\) | 6.93150 | − | 4.00190i | 0.224298 | − | 0.129498i | ||||
\(956\) | −20.1739 | + | 11.6474i | −0.652471 | + | 0.376704i | ||||
\(957\) | 0.914232 | + | 5.20692i | 0.0295529 | + | 0.168316i | ||||
\(958\) | 6.93695 | + | 4.00505i | 0.224123 | + | 0.129397i | ||||
\(959\) | 6.30250 | + | 3.15155i | 0.203518 | + | 0.101769i | ||||
\(960\) | −1.05643 | − | 6.01678i | −0.0340960 | − | 0.194191i | ||||
\(961\) | −14.4566 | − | 25.0395i | −0.466341 | − | 0.807726i | ||||
\(962\) | 1.24730 | + | 9.67091i | 0.0402145 | + | 0.311802i | ||||
\(963\) | 1.54494 | + | 4.26391i | 0.0497851 | + | 0.137403i | ||||
\(964\) | 0.810506 | + | 0.467946i | 0.0261047 | + | 0.0150715i | ||||
\(965\) | 28.2379 | + | 48.9095i | 0.909010 | + | 1.57445i | ||||
\(966\) | −15.0596 | + | 14.2368i | −0.484533 | + | 0.458061i | ||||
\(967\) | −34.0525 | −1.09505 | −0.547527 | − | 0.836788i | \(-0.684430\pi\) | ||||
−0.547527 | + | 0.836788i | \(0.684430\pi\) | |||||||
\(968\) | 20.1896i | 0.648917i | ||||||||
\(969\) | 33.9233 | − | 5.95626i | 1.08977 | − | 0.191343i | ||||
\(970\) | 22.6292 | − | 39.1948i | 0.726578 | − | 1.25847i | ||||
\(971\) | −17.2227 | −0.552702 | −0.276351 | − | 0.961057i | \(-0.589125\pi\) | ||||
−0.276351 | + | 0.961057i | \(0.589125\pi\) | |||||||
\(972\) | −14.6676 | + | 5.27847i | −0.470463 | + | 0.169307i | ||||
\(973\) | −2.30765 | − | 38.4700i | −0.0739798 | − | 1.23329i | ||||
\(974\) | 15.3257i | 0.491066i | ||||||||
\(975\) | 13.8214 | + | 44.3545i | 0.442637 | + | 1.42048i | ||||
\(976\) | 10.8209 | + | 6.24747i | 0.346370 | + | 0.199977i | ||||
\(977\) | 1.40603i | 0.0449828i | 0.999747 | + | 0.0224914i | \(0.00715984\pi\) | ||||
−0.999747 | + | 0.0224914i | \(0.992840\pi\) | |||||||
\(978\) | −8.00086 | − | 9.54909i | −0.255839 | − | 0.305346i | ||||
\(979\) | −6.54978 | − | 3.78152i | −0.209332 | − | 0.120858i | ||||
\(980\) | −14.8116 | − | 19.7519i | −0.473140 | − | 0.630952i | ||||
\(981\) | 33.7984 | − | 12.2462i | 1.07910 | − | 0.390990i | ||||
\(982\) | −15.8113 | −0.504559 | ||||||||
\(983\) | 21.6028 | − | 37.4171i | 0.689022 | − | 1.19342i | −0.283133 | − | 0.959081i | \(-0.591374\pi\) |
0.972155 | − | 0.234340i | \(-0.0752928\pi\) | |||||||
\(984\) | −12.3873 | + | 2.17497i | −0.394894 | + | 0.0693356i | ||||
\(985\) | 71.8087 | + | 41.4588i | 2.28802 | + | 1.32099i | ||||
\(986\) | −0.751620 | − | 1.30184i | −0.0239364 | − | 0.0414591i | ||||
\(987\) | −13.0785 | + | 12.3640i | −0.416294 | + | 0.393550i | ||||
\(988\) | 3.33430 | + | 25.8524i | 0.106078 | + | 0.822474i | ||||
\(989\) | −0.556084 | + | 0.321055i | −0.0176824 | + | 0.0102090i | ||||
\(990\) | −45.2114 | − | 38.0486i | −1.43691 | − | 1.20927i | ||||
\(991\) | −48.5444 | −1.54206 | −0.771031 | − | 0.636797i | \(-0.780259\pi\) | ||||
−0.771031 | + | 0.636797i | \(0.780259\pi\) | |||||||
\(992\) | −1.44460 | −0.0458662 | ||||||||
\(993\) | 3.79545 | + | 1.38454i | 0.120445 | + | 0.0439372i | ||||
\(994\) | 1.38342 | − | 2.76657i | 0.0438793 | − | 0.0877504i | ||||
\(995\) | 13.3346 | + | 7.69871i | 0.422734 | + | 0.244066i | ||||
\(996\) | 1.17587 | + | 6.69706i | 0.0372589 | + | 0.212205i | ||||
\(997\) | 46.7943 | − | 27.0167i | 1.48199 | − | 0.855627i | 0.482198 | − | 0.876062i | \(-0.339839\pi\) |
0.999791 | + | 0.0204358i | \(0.00650538\pi\) | |||||||
\(998\) | − | 19.2688i | − | 0.609944i | ||||||
\(999\) | 14.0527 | + | 0.0305422i | 0.444607 | + | 0.000966314i |
(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 | 546.2.u.a.185.17 | ✓ | 76 | |
3.2 | odd | 2 | inner | 546.2.u.a.185.22 | yes | 76 | |
7.5 | odd | 6 | 546.2.bb.a.341.34 | yes | 76 | ||
13.9 | even | 3 | 546.2.bb.a.269.28 | yes | 76 | ||
21.5 | even | 6 | 546.2.bb.a.341.9 | yes | 76 | ||
39.35 | odd | 6 | 546.2.bb.a.269.15 | yes | 76 | ||
91.61 | odd | 6 | inner | 546.2.u.a.425.22 | yes | 76 | |
273.152 | even | 6 | inner | 546.2.u.a.425.17 | yes | 76 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.u.a.185.17 | ✓ | 76 | 1.1 | even | 1 | trivial | |
546.2.u.a.185.22 | yes | 76 | 3.2 | odd | 2 | inner | |
546.2.u.a.425.17 | yes | 76 | 273.152 | even | 6 | inner | |
546.2.u.a.425.22 | yes | 76 | 91.61 | odd | 6 | inner | |
546.2.bb.a.269.15 | yes | 76 | 39.35 | odd | 6 | ||
546.2.bb.a.269.28 | yes | 76 | 13.9 | even | 3 | ||
546.2.bb.a.341.9 | yes | 76 | 21.5 | even | 6 | ||
546.2.bb.a.341.34 | yes | 76 | 7.5 | odd | 6 |