Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(34,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 11, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.34");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.r (of order \(22\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(320\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 181.3 | ||
Character | \(\chi\) | \(=\) | 483.181 |
Dual form | 483.2.r.a.475.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{5}{22}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.351125 | − | 2.44213i | −0.248283 | − | 1.72685i | −0.608132 | − | 0.793836i | \(-0.708081\pi\) |
0.359849 | − | 0.933010i | \(-0.382828\pi\) | |||||||
\(3\) | −0.909632 | − | 0.415415i | −0.525176 | − | 0.239840i | ||||
\(4\) | −3.92172 | + | 1.15152i | −1.96086 | + | 0.575760i | ||||
\(5\) | −2.70553 | + | 3.12235i | −1.20995 | + | 1.39636i | −0.315655 | + | 0.948874i | \(0.602224\pi\) |
−0.894293 | + | 0.447481i | \(0.852321\pi\) | |||||||
\(6\) | −0.695102 | + | 2.36730i | −0.283774 | + | 0.966447i | ||||
\(7\) | −0.374078 | − | 2.61917i | −0.141388 | − | 0.989954i | ||||
\(8\) | 2.13932 | + | 4.68445i | 0.756363 | + | 1.65620i | ||||
\(9\) | 0.654861 | + | 0.755750i | 0.218287 | + | 0.251917i | ||||
\(10\) | 8.57515 | + | 5.51091i | 2.71170 | + | 1.74270i | ||||
\(11\) | 2.25862 | + | 0.324741i | 0.681000 | + | 0.0979130i | 0.474129 | − | 0.880455i | \(-0.342763\pi\) |
0.206871 | + | 0.978368i | \(0.433672\pi\) | |||||||
\(12\) | 4.04568 | + | 0.581681i | 1.16789 | + | 0.167917i | ||||
\(13\) | −0.473459 | + | 0.736717i | −0.131314 | + | 0.204329i | −0.900684 | − | 0.434475i | \(-0.856934\pi\) |
0.769370 | + | 0.638804i | \(0.220570\pi\) | |||||||
\(14\) | −6.26501 | + | 1.83320i | −1.67439 | + | 0.489944i | ||||
\(15\) | 3.75810 | − | 1.71627i | 0.970338 | − | 0.443139i | ||||
\(16\) | 3.81199 | − | 2.44982i | 0.952998 | − | 0.612454i | ||||
\(17\) | 4.80417 | + | 1.41063i | 1.16518 | + | 0.342128i | 0.806444 | − | 0.591310i | \(-0.201389\pi\) |
0.358737 | + | 0.933439i | \(0.383207\pi\) | |||||||
\(18\) | 1.61570 | − | 1.86462i | 0.380824 | − | 0.439494i | ||||
\(19\) | −3.12666 | + | 0.918069i | −0.717304 | + | 0.210620i | −0.619963 | − | 0.784631i | \(-0.712852\pi\) |
−0.0973419 | + | 0.995251i | \(0.531034\pi\) | |||||||
\(20\) | 7.01488 | − | 15.3604i | 1.56857 | − | 3.43470i | ||||
\(21\) | −0.747770 | + | 2.53788i | −0.163177 | + | 0.553811i | ||||
\(22\) | − | 5.62987i | − | 1.20029i | ||||||
\(23\) | 4.44843 | + | 1.79207i | 0.927561 | + | 0.373672i | ||||
\(24\) | − | 5.14983i | − | 1.05121i | ||||||
\(25\) | −1.71759 | − | 11.9461i | −0.343517 | − | 2.38922i | ||||
\(26\) | 1.96540 | + | 0.897569i | 0.385447 | + | 0.176028i | ||||
\(27\) | −0.281733 | − | 0.959493i | −0.0542195 | − | 0.184655i | ||||
\(28\) | 4.48306 | + | 9.84090i | 0.847219 | + | 1.85976i | ||||
\(29\) | −0.842253 | − | 0.247308i | −0.156402 | − | 0.0459239i | 0.202594 | − | 0.979263i | \(-0.435063\pi\) |
−0.358997 | + | 0.933339i | \(0.616881\pi\) | |||||||
\(30\) | −5.51091 | − | 8.57515i | −1.00615 | − | 1.56560i | ||||
\(31\) | 6.39027 | − | 2.91834i | 1.14773 | − | 0.524149i | 0.251549 | − | 0.967844i | \(-0.419060\pi\) |
0.896178 | + | 0.443695i | \(0.146333\pi\) | |||||||
\(32\) | −0.576407 | − | 0.665210i | −0.101895 | − | 0.117594i | ||||
\(33\) | −1.91961 | − | 1.23366i | −0.334162 | − | 0.214753i | ||||
\(34\) | 1.75808 | − | 12.2277i | 0.301508 | − | 2.09703i | ||||
\(35\) | 9.19004 | + | 5.91824i | 1.55340 | + | 1.00037i | ||||
\(36\) | −3.43844 | − | 2.20975i | −0.573074 | − | 0.368292i | ||||
\(37\) | −5.73937 | + | 4.97320i | −0.943547 | + | 0.817588i | −0.983369 | − | 0.181618i | \(-0.941866\pi\) |
0.0398218 | + | 0.999207i | \(0.487321\pi\) | |||||||
\(38\) | 3.33989 | + | 7.31334i | 0.541802 | + | 1.18638i | ||||
\(39\) | 0.736717 | − | 0.473459i | 0.117969 | − | 0.0758142i | ||||
\(40\) | −20.4145 | − | 5.99423i | −3.22781 | − | 0.947771i | ||||
\(41\) | 1.97330 | + | 1.70987i | 0.308178 | + | 0.267038i | 0.795194 | − | 0.606356i | \(-0.207369\pi\) |
−0.487016 | + | 0.873393i | \(0.661915\pi\) | |||||||
\(42\) | 6.46039 | + | 0.935038i | 0.996860 | + | 0.144279i | ||||
\(43\) | 7.21274 | + | 3.29395i | 1.09993 | + | 0.502322i | 0.880855 | − | 0.473385i | \(-0.156968\pi\) |
0.219077 | + | 0.975708i | \(0.429695\pi\) | |||||||
\(44\) | −9.23163 | + | 1.32731i | −1.39172 | + | 0.200099i | ||||
\(45\) | −4.13145 | −0.615881 | ||||||||
\(46\) | 2.81451 | − | 11.4929i | 0.414977 | − | 1.69453i | ||||
\(47\) | 7.08348i | 1.03323i | 0.856217 | + | 0.516616i | \(0.172809\pi\) | ||||
−0.856217 | + | 0.516616i | \(0.827191\pi\) | |||||||
\(48\) | −4.48520 | + | 0.644874i | −0.647383 | + | 0.0930796i | ||||
\(49\) | −6.72013 | + | 1.95955i | −0.960019 | + | 0.279936i | ||||
\(50\) | −28.5708 | + | 8.38914i | −4.04052 | + | 1.18640i | ||||
\(51\) | −3.78403 | − | 3.27888i | −0.529870 | − | 0.459135i | ||||
\(52\) | 1.00843 | − | 3.43440i | 0.139844 | − | 0.476265i | ||||
\(53\) | 4.26125 | + | 6.63063i | 0.585327 | + | 0.910787i | 1.00000 | 0.000816111i | \(0.000259776\pi\) | |
−0.414673 | + | 0.909971i | \(0.636104\pi\) | |||||||
\(54\) | −2.24428 | + | 1.02493i | −0.305408 | + | 0.139475i | ||||
\(55\) | −7.12472 | + | 6.17360i | −0.960696 | + | 0.832448i | ||||
\(56\) | 11.4691 | − | 7.35560i | 1.53263 | − | 0.982933i | ||||
\(57\) | 3.22549 | + | 0.463755i | 0.427226 | + | 0.0614259i | ||||
\(58\) | −0.308221 | + | 2.14373i | −0.0404715 | + | 0.281485i | ||||
\(59\) | −3.91379 | + | 6.08998i | −0.509533 | + | 0.792848i | −0.996761 | − | 0.0804267i | \(-0.974372\pi\) |
0.487228 | + | 0.873275i | \(0.338008\pi\) | |||||||
\(60\) | −12.7619 | + | 11.0583i | −1.64756 | + | 1.42762i | ||||
\(61\) | 0.502761 | + | 1.10089i | 0.0643720 | + | 0.140955i | 0.939084 | − | 0.343689i | \(-0.111677\pi\) |
−0.874712 | + | 0.484644i | \(0.838949\pi\) | |||||||
\(62\) | −9.37075 | − | 14.5812i | −1.19009 | − | 1.85181i | ||||
\(63\) | 1.73447 | − | 1.99790i | 0.218523 | − | 0.251712i | ||||
\(64\) | 4.51263 | − | 5.20786i | 0.564079 | − | 0.650982i | ||||
\(65\) | −1.01933 | − | 3.47151i | −0.126432 | − | 0.430588i | ||||
\(66\) | −2.33873 | + | 5.12111i | −0.287878 | + | 0.630365i | ||||
\(67\) | 10.3660 | − | 1.49040i | 1.26640 | − | 0.182081i | 0.523817 | − | 0.851831i | \(-0.324508\pi\) |
0.742587 | + | 0.669749i | \(0.233598\pi\) | |||||||
\(68\) | −20.4650 | −2.48174 | ||||||||
\(69\) | −3.30198 | − | 3.47807i | −0.397511 | − | 0.418710i | ||||
\(70\) | 11.2263 | − | 24.5213i | 1.34179 | − | 2.93086i | ||||
\(71\) | 1.86558 | + | 12.9754i | 0.221403 | + | 1.53989i | 0.732737 | + | 0.680512i | \(0.238243\pi\) |
−0.511333 | + | 0.859383i | \(0.670848\pi\) | |||||||
\(72\) | −2.13932 | + | 4.68445i | −0.252121 | + | 0.552068i | ||||
\(73\) | 0.659386 | + | 2.24566i | 0.0771752 | + | 0.262835i | 0.989038 | − | 0.147660i | \(-0.0471742\pi\) |
−0.911863 | + | 0.410495i | \(0.865356\pi\) | |||||||
\(74\) | 14.1604 | + | 12.2701i | 1.64612 | + | 1.42637i | ||||
\(75\) | −3.40021 | + | 11.5800i | −0.392622 | + | 1.33715i | ||||
\(76\) | 11.2047 | − | 7.20082i | 1.28527 | − | 0.825991i | ||||
\(77\) | 0.00565131 | − | 6.03720i | 0.000644026 | − | 0.688003i | ||||
\(78\) | −1.41493 | − | 1.63292i | −0.160209 | − | 0.184891i | ||||
\(79\) | 5.50409 | − | 8.56453i | 0.619259 | − | 0.963585i | −0.379996 | − | 0.924988i | \(-0.624075\pi\) |
0.999255 | − | 0.0385971i | \(-0.0122889\pi\) | |||||||
\(80\) | −2.66427 | + | 18.5304i | −0.297874 | + | 2.07176i | ||||
\(81\) | −0.142315 | + | 0.989821i | −0.0158128 | + | 0.109980i | ||||
\(82\) | 3.48286 | − | 5.41944i | 0.384618 | − | 0.598477i | ||||
\(83\) | −1.88668 | − | 2.17735i | −0.207090 | − | 0.238995i | 0.642697 | − | 0.766120i | \(-0.277815\pi\) |
−0.849788 | + | 0.527125i | \(0.823270\pi\) | |||||||
\(84\) | 0.0101227 | − | 10.8139i | 0.00110448 | − | 1.17990i | ||||
\(85\) | −17.4023 | + | 11.1838i | −1.88754 | + | 1.21305i | ||||
\(86\) | 5.51167 | − | 18.7710i | 0.594339 | − | 2.02413i | ||||
\(87\) | 0.663405 | + | 0.574844i | 0.0711245 | + | 0.0616297i | ||||
\(88\) | 3.31068 | + | 11.2751i | 0.352919 | + | 1.20193i | ||||
\(89\) | 5.95488 | − | 13.0394i | 0.631216 | − | 1.38217i | −0.275857 | − | 0.961199i | \(-0.588962\pi\) |
0.907074 | − | 0.420972i | \(-0.138311\pi\) | |||||||
\(90\) | 1.45066 | + | 10.0895i | 0.152913 | + | 1.06353i | ||||
\(91\) | 2.10670 | + | 0.964482i | 0.220842 | + | 0.101105i | ||||
\(92\) | −19.5091 | − | 1.90554i | −2.03396 | − | 0.198666i | ||||
\(93\) | −7.02512 | −0.728471 | ||||||||
\(94\) | 17.2988 | − | 2.48719i | 1.78423 | − | 0.256534i | ||||
\(95\) | 5.59273 | − | 12.2464i | 0.573802 | − | 1.25645i | ||||
\(96\) | 0.247981 | + | 0.844544i | 0.0253094 | + | 0.0861959i | ||||
\(97\) | −6.42254 | + | 7.41201i | −0.652110 | + | 0.752575i | −0.981467 | − | 0.191630i | \(-0.938623\pi\) |
0.329357 | + | 0.944206i | \(0.393168\pi\) | |||||||
\(98\) | 7.14508 | + | 15.7234i | 0.721762 | + | 1.58830i | ||||
\(99\) | 1.23366 | + | 1.91961i | 0.123987 | + | 0.192928i | ||||
\(100\) | 20.4920 | + | 44.8713i | 2.04920 | + | 4.48713i | ||||
\(101\) | −5.47005 | + | 4.73982i | −0.544290 | + | 0.471630i | −0.883074 | − | 0.469234i | \(-0.844530\pi\) |
0.338784 | + | 0.940864i | \(0.389984\pi\) | |||||||
\(102\) | −6.67878 | + | 10.3924i | −0.661297 | + | 1.02900i | ||||
\(103\) | −2.01933 | + | 14.0447i | −0.198970 | + | 1.38387i | 0.608309 | + | 0.793700i | \(0.291848\pi\) |
−0.807279 | + | 0.590170i | \(0.799061\pi\) | |||||||
\(104\) | −4.46400 | − | 0.641826i | −0.437731 | − | 0.0629362i | ||||
\(105\) | −5.90103 | − | 9.20110i | −0.575881 | − | 0.897936i | ||||
\(106\) | 14.6966 | − | 12.7347i | 1.42746 | − | 1.23690i | ||||
\(107\) | −2.08946 | + | 0.954227i | −0.201996 | + | 0.0922486i | −0.513845 | − | 0.857883i | \(-0.671779\pi\) |
0.311848 | + | 0.950132i | \(0.399052\pi\) | |||||||
\(108\) | 2.20975 | + | 3.43844i | 0.212634 | + | 0.330864i | ||||
\(109\) | −0.872951 | + | 2.97300i | −0.0836135 | + | 0.284762i | −0.990677 | − | 0.136233i | \(-0.956501\pi\) |
0.907063 | + | 0.420994i | \(0.138319\pi\) | |||||||
\(110\) | 17.5784 | + | 15.2318i | 1.67603 | + | 1.45229i | ||||
\(111\) | 7.28666 | − | 2.13956i | 0.691619 | − | 0.203078i | ||||
\(112\) | −7.84248 | − | 9.06784i | −0.741044 | − | 0.856830i | ||||
\(113\) | 13.6062 | − | 1.95628i | 1.27996 | − | 0.184031i | 0.531415 | − | 0.847112i | \(-0.321660\pi\) |
0.748548 | + | 0.663081i | \(0.230751\pi\) | |||||||
\(114\) | − | 8.03989i | − | 0.753005i | ||||||
\(115\) | −17.6308 | + | 9.04103i | −1.64408 | + | 0.843080i | ||||
\(116\) | 3.58786 | 0.333125 | ||||||||
\(117\) | −0.866824 | + | 0.124630i | −0.0801379 | + | 0.0115221i | ||||
\(118\) | 16.2468 | + | 7.41964i | 1.49563 | + | 0.683034i | ||||
\(119\) | 1.89755 | − | 13.1106i | 0.173948 | − | 1.20185i | ||||
\(120\) | 16.0796 | + | 13.9330i | 1.46786 | + | 1.27190i | ||||
\(121\) | −5.55851 | − | 1.63213i | −0.505319 | − | 0.148375i | ||||
\(122\) | 2.51199 | − | 1.61436i | 0.227425 | − | 0.146157i | ||||
\(123\) | −1.08467 | − | 2.37510i | −0.0978014 | − | 0.214155i | ||||
\(124\) | −21.7003 | + | 18.8035i | −1.94875 | + | 1.68860i | ||||
\(125\) | 24.5687 | + | 15.7894i | 2.19750 | + | 1.41224i | ||||
\(126\) | −5.48815 | − | 3.53428i | −0.488923 | − | 0.314859i | ||||
\(127\) | 2.75000 | − | 19.1267i | 0.244023 | − | 1.69722i | −0.387508 | − | 0.921866i | \(-0.626664\pi\) |
0.631531 | − | 0.775351i | \(-0.282427\pi\) | |||||||
\(128\) | −15.7837 | − | 10.1436i | −1.39509 | − | 0.896573i | ||||
\(129\) | −5.19258 | − | 5.99256i | −0.457181 | − | 0.527615i | ||||
\(130\) | −8.11997 | + | 3.70827i | −0.712169 | + | 0.325237i | ||||
\(131\) | −8.13556 | − | 12.6592i | −0.710808 | − | 1.10604i | −0.989342 | − | 0.145612i | \(-0.953485\pi\) |
0.278534 | − | 0.960426i | \(-0.410151\pi\) | |||||||
\(132\) | 8.94877 | + | 2.62760i | 0.778890 | + | 0.228703i | ||||
\(133\) | 3.57420 | + | 7.84583i | 0.309922 | + | 0.680319i | ||||
\(134\) | −7.27950 | − | 24.7917i | −0.628853 | − | 2.14168i | ||||
\(135\) | 3.75810 | + | 1.71627i | 0.323446 | + | 0.147713i | ||||
\(136\) | 3.66961 | + | 25.5227i | 0.314666 | + | 2.18855i | ||||
\(137\) | 1.86310i | 0.159175i | 0.996828 | + | 0.0795877i | \(0.0253604\pi\) | ||||
−0.996828 | + | 0.0795877i | \(0.974640\pi\) | |||||||
\(138\) | −7.33448 | + | 9.28509i | −0.624352 | + | 0.790400i | ||||
\(139\) | − | 1.52350i | − | 0.129222i | −0.997911 | − | 0.0646110i | \(-0.979419\pi\) | ||
0.997911 | − | 0.0646110i | \(-0.0205807\pi\) | |||||||
\(140\) | −42.8557 | − | 12.6272i | −3.62197 | − | 1.06719i | ||||
\(141\) | 2.94258 | − | 6.44336i | 0.247810 | − | 0.542629i | ||||
\(142\) | 31.0325 | − | 9.11197i | 2.60419 | − | 0.764659i | ||||
\(143\) | −1.30861 | + | 1.51021i | −0.109431 | + | 0.126290i | ||||
\(144\) | 4.34777 | + | 1.27662i | 0.362314 | + | 0.106385i | ||||
\(145\) | 3.05092 | − | 1.96071i | 0.253365 | − | 0.162828i | ||||
\(146\) | 5.25267 | − | 2.39881i | 0.434714 | − | 0.198527i | ||||
\(147\) | 6.92687 | + | 1.00917i | 0.571319 | + | 0.0832353i | ||||
\(148\) | 16.7815 | − | 26.1125i | 1.37943 | − | 2.14643i | ||||
\(149\) | −13.4840 | − | 1.93870i | −1.10465 | − | 0.158825i | −0.434226 | − | 0.900804i | \(-0.642978\pi\) |
−0.670423 | + | 0.741979i | \(0.733887\pi\) | |||||||
\(150\) | 29.4739 | + | 4.23770i | 2.40653 | + | 0.346007i | ||||
\(151\) | −4.82845 | − | 3.10306i | −0.392934 | − | 0.252523i | 0.329223 | − | 0.944252i | \(-0.393213\pi\) |
−0.722157 | + | 0.691729i | \(0.756849\pi\) | |||||||
\(152\) | −10.9896 | − | 12.6826i | −0.891372 | − | 1.02870i | ||||
\(153\) | 2.07998 | + | 4.55451i | 0.168156 | + | 0.368211i | ||||
\(154\) | −14.7456 | + | 2.10601i | −1.18823 | + | 0.169707i | ||||
\(155\) | −8.17700 | + | 27.8483i | −0.656792 | + | 2.23683i | ||||
\(156\) | −2.34400 | + | 2.70512i | −0.187670 | + | 0.216583i | ||||
\(157\) | 11.3987 | − | 3.34697i | 0.909717 | − | 0.267117i | 0.206795 | − | 0.978384i | \(-0.433697\pi\) |
0.702922 | + | 0.711267i | \(0.251878\pi\) | |||||||
\(158\) | −22.8483 | − | 10.4345i | −1.81771 | − | 0.830122i | ||||
\(159\) | −1.12170 | − | 7.80162i | −0.0889569 | − | 0.618708i | ||||
\(160\) | 3.63650 | 0.287491 | ||||||||
\(161\) | 3.02968 | − | 12.3216i | 0.238772 | − | 0.971076i | ||||
\(162\) | 2.46724 | 0.193845 | ||||||||
\(163\) | 2.65011 | + | 18.4319i | 0.207573 | + | 1.44370i | 0.781044 | + | 0.624476i | \(0.214687\pi\) |
−0.573471 | + | 0.819226i | \(0.694404\pi\) | |||||||
\(164\) | −9.70769 | − | 4.43335i | −0.758043 | − | 0.346187i | ||||
\(165\) | 9.04548 | − | 2.65599i | 0.704189 | − | 0.206769i | ||||
\(166\) | −4.65490 | + | 5.37205i | −0.361291 | + | 0.416952i | ||||
\(167\) | −4.19939 | + | 14.3018i | −0.324959 | + | 1.10671i | 0.621374 | + | 0.783514i | \(0.286575\pi\) |
−0.946333 | + | 0.323194i | \(0.895243\pi\) | |||||||
\(168\) | −13.4883 | + | 1.92644i | −1.04065 | + | 0.148628i | ||||
\(169\) | 5.08181 | + | 11.1276i | 0.390908 | + | 0.855970i | ||||
\(170\) | 33.4226 | + | 38.5717i | 2.56339 | + | 2.95832i | ||||
\(171\) | −2.74136 | − | 1.76176i | −0.209637 | − | 0.134725i | ||||
\(172\) | −32.0794 | − | 4.61232i | −2.44603 | − | 0.351686i | ||||
\(173\) | −22.2829 | − | 3.20379i | −1.69413 | − | 0.243580i | −0.773441 | − | 0.633868i | \(-0.781466\pi\) |
−0.920693 | + | 0.390288i | \(0.872375\pi\) | |||||||
\(174\) | 1.17090 | − | 1.82196i | 0.0887660 | − | 0.138123i | ||||
\(175\) | −30.6463 | + | 8.96742i | −2.31664 | + | 0.677873i | ||||
\(176\) | 9.40540 | − | 4.29530i | 0.708959 | − | 0.323771i | ||||
\(177\) | 6.08998 | − | 3.91379i | 0.457751 | − | 0.294179i | ||||
\(178\) | −33.9347 | − | 9.96414i | −2.54352 | − | 0.746844i | ||||
\(179\) | −7.90021 | + | 9.11733i | −0.590490 | + | 0.681461i | −0.969826 | − | 0.243797i | \(-0.921607\pi\) |
0.379336 | + | 0.925259i | \(0.376152\pi\) | |||||||
\(180\) | 16.2024 | − | 4.75746i | 1.20766 | − | 0.354600i | ||||
\(181\) | −1.52036 | + | 3.32912i | −0.113007 | + | 0.247451i | −0.957682 | − | 0.287829i | \(-0.907067\pi\) |
0.844675 | + | 0.535280i | \(0.179794\pi\) | |||||||
\(182\) | 1.61567 | − | 5.48349i | 0.119762 | − | 0.406463i | ||||
\(183\) | − | 1.21026i | − | 0.0894652i | ||||||
\(184\) | 1.12173 | + | 24.6723i | 0.0826954 | + | 1.81886i | ||||
\(185\) | − | 31.3754i | − | 2.30677i | ||||||
\(186\) | 2.46670 | + | 17.1563i | 0.180867 | + | 1.25796i | ||||
\(187\) | 10.3927 | + | 4.74619i | 0.759990 | + | 0.347076i | ||||
\(188\) | −8.15678 | − | 27.7794i | −0.594894 | − | 2.02602i | ||||
\(189\) | −2.40769 | + | 1.09683i | −0.175134 | + | 0.0797828i | ||||
\(190\) | −31.8710 | − | 9.35816i | −2.31216 | − | 0.678912i | ||||
\(191\) | 13.7412 | + | 21.3817i | 0.994276 | + | 1.54712i | 0.827758 | + | 0.561085i | \(0.189616\pi\) |
0.166518 | + | 0.986038i | \(0.446748\pi\) | |||||||
\(192\) | −6.26826 | + | 2.86262i | −0.452372 | + | 0.206592i | ||||
\(193\) | 0.784522 | + | 0.905386i | 0.0564711 | + | 0.0651711i | 0.783282 | − | 0.621666i | \(-0.213544\pi\) |
−0.726811 | + | 0.686837i | \(0.758998\pi\) | |||||||
\(194\) | 20.3562 | + | 13.0821i | 1.46149 | + | 0.939243i | ||||
\(195\) | −0.514905 | + | 3.58124i | −0.0368731 | + | 0.256458i | ||||
\(196\) | 24.0980 | − | 15.4232i | 1.72129 | − | 1.10166i | ||||
\(197\) | 6.45937 | + | 4.15118i | 0.460211 | + | 0.295759i | 0.750129 | − | 0.661292i | \(-0.229992\pi\) |
−0.289918 | + | 0.957052i | \(0.593628\pi\) | |||||||
\(198\) | 4.25477 | − | 3.68678i | 0.302373 | − | 0.262008i | ||||
\(199\) | −7.17188 | − | 15.7042i | −0.508401 | − | 1.11324i | −0.973647 | − | 0.228062i | \(-0.926761\pi\) |
0.465246 | − | 0.885182i | \(-0.345966\pi\) | |||||||
\(200\) | 52.2864 | − | 33.6024i | 3.69721 | − | 2.37605i | ||||
\(201\) | −10.0483 | − | 2.95046i | −0.708756 | − | 0.208109i | ||||
\(202\) | 13.4959 | + | 11.6943i | 0.949570 | + | 0.822807i | ||||
\(203\) | −0.332673 | + | 2.29852i | −0.0233491 | + | 0.161324i | ||||
\(204\) | 18.6156 | + | 8.50145i | 1.30335 | + | 0.595221i | ||||
\(205\) | −10.6776 | + | 1.53521i | −0.745759 | + | 0.107224i | ||||
\(206\) | 35.0081 | 2.43913 | ||||||||
\(207\) | 1.55874 | + | 4.53545i | 0.108340 | + | 0.315236i | ||||
\(208\) | 3.96825i | 0.275149i | ||||||||
\(209\) | −7.36007 | + | 1.05822i | −0.509107 | + | 0.0731985i | ||||
\(210\) | −20.3983 | + | 17.6418i | −1.40762 | + | 1.21740i | ||||
\(211\) | −5.80016 | + | 1.70308i | −0.399300 | + | 0.117245i | −0.475216 | − | 0.879869i | \(-0.657630\pi\) |
0.0759162 | + | 0.997114i | \(0.475812\pi\) | |||||||
\(212\) | −24.3467 | − | 21.0966i | −1.67214 | − | 1.44892i | ||||
\(213\) | 3.69318 | − | 12.5778i | 0.253052 | − | 0.861818i | ||||
\(214\) | 3.06401 | + | 4.76769i | 0.209451 | + | 0.325913i | ||||
\(215\) | −29.7991 | + | 13.6088i | −2.03228 | + | 0.928112i | ||||
\(216\) | 3.89199 | − | 3.37242i | 0.264816 | − | 0.229464i | ||||
\(217\) | −10.0341 | − | 15.6455i | −0.681159 | − | 1.06209i | ||||
\(218\) | 7.56696 | + | 1.08796i | 0.512499 | + | 0.0736863i | ||||
\(219\) | 0.333083 | − | 2.31664i | 0.0225077 | − | 0.156544i | ||||
\(220\) | 20.8321 | − | 32.4154i | 1.40450 | − | 2.18545i | ||||
\(221\) | −3.31381 | + | 2.87144i | −0.222911 | + | 0.193154i | ||||
\(222\) | −7.78360 | − | 17.0437i | −0.522401 | − | 1.14390i | ||||
\(223\) | 10.9340 | + | 17.0137i | 0.732198 | + | 1.13932i | 0.985125 | + | 0.171837i | \(0.0549701\pi\) |
−0.252928 | + | 0.967485i | \(0.581394\pi\) | |||||||
\(224\) | −1.52668 | + | 1.75855i | −0.102005 | + | 0.117498i | ||||
\(225\) | 7.90346 | − | 9.12108i | 0.526897 | − | 0.608072i | ||||
\(226\) | −9.55495 | − | 32.5412i | −0.635586 | − | 2.16461i | ||||
\(227\) | 1.16986 | − | 2.56163i | 0.0776461 | − | 0.170021i | −0.866828 | − | 0.498608i | \(-0.833845\pi\) |
0.944474 | + | 0.328586i | \(0.106572\pi\) | |||||||
\(228\) | −13.1835 | + | 1.89550i | −0.873097 | + | 0.125532i | ||||
\(229\) | 27.8753 | 1.84205 | 0.921026 | − | 0.389501i | \(-0.127353\pi\) | ||||
0.921026 | + | 0.389501i | \(0.127353\pi\) | |||||||
\(230\) | 28.2700 | + | 39.8821i | 1.86407 | + | 2.62975i | ||||
\(231\) | −2.51308 | + | 5.48928i | −0.165349 | + | 0.361168i | ||||
\(232\) | −0.643346 | − | 4.47457i | −0.0422377 | − | 0.293770i | ||||
\(233\) | 8.35747 | − | 18.3003i | 0.547516 | − | 1.19889i | −0.410416 | − | 0.911898i | \(-0.634616\pi\) |
0.957932 | − | 0.286995i | \(-0.0926563\pi\) | |||||||
\(234\) | 0.608727 | + | 2.07313i | 0.0397937 | + | 0.135525i | ||||
\(235\) | −22.1171 | − | 19.1646i | −1.44276 | − | 1.25016i | ||||
\(236\) | 8.33606 | − | 28.3900i | 0.542631 | − | 1.84803i | ||||
\(237\) | −8.56453 | + | 5.50409i | −0.556326 | + | 0.357529i | ||||
\(238\) | −32.6841 | − | 0.0305950i | −2.11860 | − | 0.00198318i | ||||
\(239\) | −1.21710 | − | 1.40461i | −0.0787276 | − | 0.0908565i | 0.715019 | − | 0.699105i | \(-0.246418\pi\) |
−0.793747 | + | 0.608248i | \(0.791872\pi\) | |||||||
\(240\) | 10.1213 | − | 15.7491i | 0.653328 | − | 1.01660i | ||||
\(241\) | 3.39587 | − | 23.6188i | 0.218747 | − | 1.52142i | −0.523926 | − | 0.851764i | \(-0.675533\pi\) |
0.742673 | − | 0.669654i | \(-0.233558\pi\) | |||||||
\(242\) | −2.03413 | + | 14.1477i | −0.130759 | + | 0.909447i | ||||
\(243\) | 0.540641 | − | 0.841254i | 0.0346821 | − | 0.0539664i | ||||
\(244\) | −3.23939 | − | 3.73846i | −0.207381 | − | 0.239330i | ||||
\(245\) | 12.0631 | − | 26.2842i | 0.770684 | − | 1.67924i | ||||
\(246\) | −5.41944 | + | 3.48286i | −0.345531 | + | 0.222059i | ||||
\(247\) | 0.803988 | − | 2.73813i | 0.0511565 | − | 0.174223i | ||||
\(248\) | 27.3417 | + | 23.6917i | 1.73620 | + | 1.50442i | ||||
\(249\) | 0.811684 | + | 2.76434i | 0.0514384 | + | 0.175183i | ||||
\(250\) | 29.9330 | − | 65.5441i | 1.89313 | − | 4.14537i | ||||
\(251\) | −3.91302 | − | 27.2157i | −0.246988 | − | 1.71784i | −0.615434 | − | 0.788188i | \(-0.711019\pi\) |
0.368447 | − | 0.929649i | \(-0.379890\pi\) | |||||||
\(252\) | −4.50148 | + | 9.83249i | −0.283566 | + | 0.619389i | ||||
\(253\) | 9.46535 | + | 5.49219i | 0.595082 | + | 0.345291i | ||||
\(254\) | −47.6754 | −2.99142 | ||||||||
\(255\) | 20.4756 | − | 2.94394i | 1.28223 | − | 0.184357i | ||||
\(256\) | −13.5046 | + | 29.5710i | −0.844038 | + | 1.84819i | ||||
\(257\) | 0.319176 | + | 1.08701i | 0.0199097 | + | 0.0678061i | 0.968849 | − | 0.247654i | \(-0.0796595\pi\) |
−0.948939 | + | 0.315460i | \(0.897841\pi\) | |||||||
\(258\) | −12.8114 | + | 14.7851i | −0.797600 | + | 0.920480i | ||||
\(259\) | 15.1726 | + | 13.1720i | 0.942782 | + | 0.818471i | ||||
\(260\) | 7.99504 | + | 12.4405i | 0.495831 | + | 0.771529i | ||||
\(261\) | −0.364656 | − | 0.798485i | −0.0225716 | − | 0.0494250i | ||||
\(262\) | −28.0588 | + | 24.3131i | −1.73348 | + | 1.50207i | ||||
\(263\) | −7.03322 | + | 10.9439i | −0.433687 | + | 0.674830i | −0.987466 | − | 0.157834i | \(-0.949549\pi\) |
0.553779 | + | 0.832664i | \(0.313185\pi\) | |||||||
\(264\) | 1.67236 | − | 11.6315i | 0.102927 | − | 0.715871i | ||||
\(265\) | −32.2320 | − | 4.63427i | −1.98000 | − | 0.284681i | ||||
\(266\) | 17.9055 | − | 11.4835i | 1.09786 | − | 0.704100i | ||||
\(267\) | −10.8335 | + | 9.38728i | −0.663000 | + | 0.574492i | ||||
\(268\) | −38.9362 | + | 17.7816i | −2.37841 | + | 1.08618i | ||||
\(269\) | 3.09136 | + | 4.81026i | 0.188484 | + | 0.293287i | 0.922616 | − | 0.385720i | \(-0.126047\pi\) |
−0.734132 | + | 0.679007i | \(0.762411\pi\) | |||||||
\(270\) | 2.87178 | − | 9.78040i | 0.174771 | − | 0.595216i | ||||
\(271\) | 14.0333 | + | 12.1599i | 0.852459 | + | 0.738660i | 0.967005 | − | 0.254758i | \(-0.0819957\pi\) |
−0.114546 | + | 0.993418i | \(0.536541\pi\) | |||||||
\(272\) | 21.7692 | − | 6.39202i | 1.31995 | − | 0.387573i | ||||
\(273\) | −1.51566 | − | 1.75248i | −0.0917320 | − | 0.106065i | ||||
\(274\) | 4.54993 | − | 0.654182i | 0.274872 | − | 0.0395206i | ||||
\(275\) | − | 27.5394i | − | 1.66069i | ||||||
\(276\) | 16.9545 | + | 9.83770i | 1.02054 | + | 0.592160i | ||||
\(277\) | −2.28660 | −0.137388 | −0.0686941 | − | 0.997638i | \(-0.521883\pi\) | ||||
−0.0686941 | + | 0.997638i | \(0.521883\pi\) | |||||||
\(278\) | −3.72060 | + | 0.534941i | −0.223147 | + | 0.0320836i | ||||
\(279\) | 6.39027 | + | 2.91834i | 0.382576 | + | 0.174716i | ||||
\(280\) | −8.06332 | + | 55.7113i | −0.481875 | + | 3.32939i | ||||
\(281\) | 0.908278 | + | 0.787027i | 0.0541833 | + | 0.0469501i | 0.681532 | − | 0.731789i | \(-0.261314\pi\) |
−0.627348 | + | 0.778739i | \(0.715860\pi\) | |||||||
\(282\) | −16.7687 | − | 4.92375i | −0.998564 | − | 0.293205i | ||||
\(283\) | 20.3171 | − | 13.0570i | 1.20773 | − | 0.776160i | 0.227452 | − | 0.973789i | \(-0.426960\pi\) |
0.980277 | + | 0.197629i | \(0.0633241\pi\) | |||||||
\(284\) | −22.2577 | − | 48.7376i | −1.32075 | − | 2.89204i | ||||
\(285\) | −10.1746 | + | 8.81638i | −0.602694 | + | 0.522237i | ||||
\(286\) | 4.14762 | + | 2.66552i | 0.245254 | + | 0.157615i | ||||
\(287\) | 3.74029 | − | 5.80804i | 0.220782 | − | 0.342838i | ||||
\(288\) | 0.125265 | − | 0.871239i | 0.00738133 | − | 0.0513383i | ||||
\(289\) | 6.78882 | + | 4.36291i | 0.399343 | + | 0.256642i | ||||
\(290\) | −5.85955 | − | 6.76229i | −0.344085 | − | 0.397095i | ||||
\(291\) | 8.92121 | − | 4.07418i | 0.522971 | − | 0.238833i | ||||
\(292\) | −5.17185 | − | 8.04756i | −0.302660 | − | 0.470948i | ||||
\(293\) | 20.0886 | + | 5.89856i | 1.17359 | + | 0.344597i | 0.809700 | − | 0.586844i | \(-0.199630\pi\) |
0.363891 | + | 0.931442i | \(0.381448\pi\) | |||||||
\(294\) | 0.0323335 | − | 17.2707i | 0.00188573 | − | 1.00725i | ||||
\(295\) | −8.42615 | − | 28.6968i | −0.490589 | − | 1.67079i | ||||
\(296\) | −35.5751 | − | 16.2466i | −2.06776 | − | 0.944314i | ||||
\(297\) | −0.324741 | − | 2.25862i | −0.0188434 | − | 0.131059i | ||||
\(298\) | 33.6103i | 1.94699i | ||||||||
\(299\) | −3.42640 | + | 2.42876i | −0.198154 | + | 0.140459i | ||||
\(300\) | − | 49.3291i | − | 2.84802i | ||||||
\(301\) | 5.92929 | − | 20.1236i | 0.341759 | − | 1.15991i | ||||
\(302\) | −5.88268 | + | 12.8813i | −0.338510 | + | 0.741234i | ||||
\(303\) | 6.94472 | − | 2.03915i | 0.398964 | − | 0.117146i | ||||
\(304\) | −9.66969 | + | 11.1594i | −0.554595 | + | 0.640036i | ||||
\(305\) | −4.79760 | − | 1.40870i | −0.274710 | − | 0.0806621i | ||||
\(306\) | 10.3924 | − | 6.67878i | 0.594093 | − | 0.381800i | ||||
\(307\) | 5.73703 | − | 2.62001i | 0.327429 | − | 0.149532i | −0.244917 | − | 0.969544i | \(-0.578761\pi\) |
0.572346 | + | 0.820012i | \(0.306033\pi\) | |||||||
\(308\) | 6.92980 | + | 23.6827i | 0.394862 | + | 1.34945i | ||||
\(309\) | 7.67125 | − | 11.9367i | 0.436402 | − | 0.679055i | ||||
\(310\) | 70.8803 | + | 10.1910i | 4.02573 | + | 0.578813i | ||||
\(311\) | 3.06824 | + | 0.441147i | 0.173984 | + | 0.0250151i | 0.228756 | − | 0.973484i | \(-0.426534\pi\) |
−0.0547721 | + | 0.998499i | \(0.517443\pi\) | |||||||
\(312\) | 3.79397 | + | 2.43824i | 0.214791 | + | 0.138038i | ||||
\(313\) | −0.719029 | − | 0.829803i | −0.0406419 | − | 0.0469033i | 0.735065 | − | 0.677997i | \(-0.237152\pi\) |
−0.775707 | + | 0.631094i | \(0.782606\pi\) | |||||||
\(314\) | −12.1761 | − | 26.6619i | −0.687137 | − | 1.50462i | ||||
\(315\) | 1.54549 | + | 10.8210i | 0.0870783 | + | 0.609694i | ||||
\(316\) | −11.7233 | + | 39.9258i | −0.659485 | + | 2.24600i | ||||
\(317\) | −7.91484 | + | 9.13421i | −0.444542 | + | 0.513029i | −0.933156 | − | 0.359471i | \(-0.882957\pi\) |
0.488614 | + | 0.872500i | \(0.337503\pi\) | |||||||
\(318\) | −18.6587 | + | 5.47869i | −1.04633 | + | 0.307230i | ||||
\(319\) | −1.82202 | − | 0.832089i | −0.102014 | − | 0.0465880i | ||||
\(320\) | 4.05167 | + | 28.1800i | 0.226495 | + | 1.57531i | ||||
\(321\) | 2.29704 | 0.128209 | ||||||||
\(322\) | −31.1547 | − | 3.07246i | −1.73618 | − | 0.171221i | ||||
\(323\) | −16.3160 | −0.907849 | ||||||||
\(324\) | −0.581681 | − | 4.04568i | −0.0323156 | − | 0.224760i | ||||
\(325\) | 9.61409 | + | 4.39061i | 0.533294 | + | 0.243547i | ||||
\(326\) | 44.0827 | − | 12.9438i | 2.44151 | − | 0.716893i | ||||
\(327\) | 2.02909 | − | 2.34170i | 0.112209 | − | 0.129496i | ||||
\(328\) | −3.78831 | + | 12.9018i | −0.209175 | + | 0.712383i | ||||
\(329\) | 18.5529 | − | 2.64978i | 1.02285 | − | 0.146087i | ||||
\(330\) | −9.66237 | − | 21.1576i | −0.531896 | − | 1.16469i | ||||
\(331\) | 5.28161 | + | 6.09531i | 0.290304 | + | 0.335028i | 0.882103 | − | 0.471057i | \(-0.156128\pi\) |
−0.591799 | + | 0.806086i | \(0.701582\pi\) | |||||||
\(332\) | 9.90631 | + | 6.36640i | 0.543679 | + | 0.349401i | ||||
\(333\) | −7.51698 | − | 1.08078i | −0.411928 | − | 0.0592263i | ||||
\(334\) | 36.4014 | + | 5.23373i | 1.99180 | + | 0.286377i | ||||
\(335\) | −23.3919 | + | 36.3984i | −1.27803 | + | 1.98866i | ||||
\(336\) | 3.36685 | + | 11.5063i | 0.183677 | + | 0.627719i | ||||
\(337\) | −1.35549 | + | 0.619029i | −0.0738380 | + | 0.0337207i | −0.451992 | − | 0.892022i | \(-0.649286\pi\) |
0.378154 | + | 0.925743i | \(0.376559\pi\) | |||||||
\(338\) | 25.3907 | − | 16.3176i | 1.38107 | − | 0.887561i | ||||
\(339\) | −13.1893 | − | 3.87273i | −0.716344 | − | 0.210338i | ||||
\(340\) | 55.3685 | − | 63.8987i | 3.00278 | − | 3.46539i | ||||
\(341\) | 15.3809 | − | 4.51624i | 0.832923 | − | 0.244568i | ||||
\(342\) | −3.33989 | + | 7.31334i | −0.180601 | + | 0.395460i | ||||
\(343\) | 7.64625 | + | 16.8682i | 0.412859 | + | 0.910795i | ||||
\(344\) | 40.8345i | 2.20165i | ||||||||
\(345\) | 19.7933 | − | 0.899912i | 1.06564 | − | 0.0484496i | ||||
\(346\) | 55.5425i | 2.98598i | ||||||||
\(347\) | 1.81319 | + | 12.6110i | 0.0973370 | + | 0.676994i | 0.978812 | + | 0.204762i | \(0.0656422\pi\) |
−0.881475 | + | 0.472231i | \(0.843449\pi\) | |||||||
\(348\) | −3.26363 | − | 1.49045i | −0.174949 | − | 0.0798966i | ||||
\(349\) | −6.56811 | − | 22.3689i | −0.351583 | − | 1.19738i | −0.925589 | − | 0.378530i | \(-0.876430\pi\) |
0.574006 | − | 0.818851i | \(-0.305389\pi\) | |||||||
\(350\) | 32.6603 | + | 71.6936i | 1.74577 | + | 3.83218i | ||||
\(351\) | 0.840264 | + | 0.246724i | 0.0448500 | + | 0.0131691i | ||||
\(352\) | −1.08587 | − | 1.68964i | −0.0578768 | − | 0.0900581i | ||||
\(353\) | 3.49704 | − | 1.59705i | 0.186129 | − | 0.0850021i | −0.320171 | − | 0.947360i | \(-0.603740\pi\) |
0.506300 | + | 0.862358i | \(0.331013\pi\) | |||||||
\(354\) | −11.6963 | − | 13.4983i | −0.621653 | − | 0.717426i | ||||
\(355\) | −45.5610 | − | 29.2803i | −2.41813 | − | 1.55404i | ||||
\(356\) | −8.33827 | + | 57.9939i | −0.441927 | + | 3.07367i | ||||
\(357\) | −7.17242 | + | 11.1376i | −0.379605 | + | 0.589463i | ||||
\(358\) | 25.0397 | + | 16.0920i | 1.32339 | + | 0.850490i | ||||
\(359\) | −6.22177 | + | 5.39119i | −0.328372 | + | 0.284536i | −0.803406 | − | 0.595431i | \(-0.796981\pi\) |
0.475034 | + | 0.879967i | \(0.342436\pi\) | |||||||
\(360\) | −8.83850 | − | 19.3536i | −0.465830 | − | 1.02002i | ||||
\(361\) | −7.05068 | + | 4.53120i | −0.371089 | + | 0.238484i | ||||
\(362\) | 8.66397 | + | 2.54397i | 0.455368 | + | 0.133708i | ||||
\(363\) | 4.37819 | + | 3.79372i | 0.229795 | + | 0.199119i | ||||
\(364\) | −9.37251 | − | 1.35652i | −0.491253 | − | 0.0711010i | ||||
\(365\) | −8.79572 | − | 4.01687i | −0.460389 | − | 0.210253i | ||||
\(366\) | −2.95562 | + | 0.424954i | −0.154493 | + | 0.0222127i | ||||
\(367\) | −24.3017 | −1.26854 | −0.634268 | − | 0.773113i | \(-0.718699\pi\) | ||||
−0.634268 | + | 0.773113i | \(0.718699\pi\) | |||||||
\(368\) | 21.3476 | − | 4.06648i | 1.11282 | − | 0.211980i | ||||
\(369\) | 2.61105i | 0.135926i | ||||||||
\(370\) | −76.6228 | + | 11.0167i | −3.98343 | + | 0.572731i | ||||
\(371\) | 15.7727 | − | 13.6413i | 0.818879 | − | 0.708222i | ||||
\(372\) | 27.5506 | − | 8.08957i | 1.42843 | − | 0.419425i | ||||
\(373\) | −16.8043 | − | 14.5610i | −0.870096 | − | 0.753942i | 0.100429 | − | 0.994944i | \(-0.467979\pi\) |
−0.970525 | + | 0.241002i | \(0.922524\pi\) | |||||||
\(374\) | 7.94167 | − | 27.0468i | 0.410654 | − | 1.39856i | ||||
\(375\) | −15.7894 | − | 24.5687i | −0.815360 | − | 1.26872i | ||||
\(376\) | −33.1822 | + | 15.1538i | −1.71124 | + | 0.781499i | ||||
\(377\) | 0.580969 | − | 0.503412i | 0.0299214 | − | 0.0259270i | ||||
\(378\) | 3.52400 | + | 5.49476i | 0.181255 | + | 0.282620i | ||||
\(379\) | −12.3795 | − | 1.77990i | −0.635891 | − | 0.0914273i | −0.183172 | − | 0.983081i | \(-0.558637\pi\) |
−0.452719 | + | 0.891653i | \(0.649546\pi\) | |||||||
\(380\) | −7.83117 | + | 54.4670i | −0.401730 | + | 2.79410i | ||||
\(381\) | −10.4470 | + | 16.2558i | −0.535216 | + | 0.832812i | ||||
\(382\) | 47.3919 | − | 41.0653i | 2.42478 | − | 2.10109i | ||||
\(383\) | −4.50481 | − | 9.86415i | −0.230185 | − | 0.504034i | 0.758931 | − | 0.651171i | \(-0.225722\pi\) |
−0.989116 | + | 0.147136i | \(0.952994\pi\) | |||||||
\(384\) | 10.1436 | + | 15.7837i | 0.517637 | + | 0.805458i | ||||
\(385\) | 18.8349 | + | 16.3515i | 0.959917 | + | 0.833347i | ||||
\(386\) | 1.93561 | − | 2.23381i | 0.0985197 | − | 0.113698i | ||||
\(387\) | 2.23394 | + | 7.60810i | 0.113558 | + | 0.386741i | ||||
\(388\) | 16.6523 | − | 36.4635i | 0.845394 | − | 1.85115i | ||||
\(389\) | −2.41419 | + | 0.347109i | −0.122404 | + | 0.0175991i | −0.203245 | − | 0.979128i | \(-0.565149\pi\) |
0.0808403 | + | 0.996727i | \(0.474240\pi\) | |||||||
\(390\) | 8.92666 | 0.452019 | ||||||||
\(391\) | 18.8430 | + | 14.8845i | 0.952933 | + | 0.752741i | ||||
\(392\) | −23.5559 | − | 27.2880i | −1.18975 | − | 1.37825i | ||||
\(393\) | 2.14155 | + | 14.8948i | 0.108027 | + | 0.751345i | ||||
\(394\) | 7.86968 | − | 17.2322i | 0.396469 | − | 0.868145i | ||||
\(395\) | 11.8500 | + | 40.3572i | 0.596236 | + | 2.03059i | ||||
\(396\) | −7.04854 | − | 6.10760i | −0.354203 | − | 0.306918i | ||||
\(397\) | −3.15613 | + | 10.7488i | −0.158401 | + | 0.539466i | −1.00000 | 0.000638181i | \(-0.999797\pi\) | |
0.841598 | + | 0.540104i | \(0.181615\pi\) | |||||||
\(398\) | −35.8335 | + | 23.0288i | −1.79617 | + | 1.15433i | ||||
\(399\) | 0.00807051 | − | 8.62159i | 0.000404031 | − | 0.431619i | ||||
\(400\) | −35.8131 | − | 41.3306i | −1.79066 | − | 2.06653i | ||||
\(401\) | −11.6580 | + | 18.1401i | −0.582171 | + | 0.905875i | −0.999996 | − | 0.00265204i | \(-0.999156\pi\) |
0.417826 | + | 0.908527i | \(0.362792\pi\) | |||||||
\(402\) | −3.67718 | + | 25.5753i | −0.183401 | + | 1.27558i | ||||
\(403\) | −0.875544 | + | 6.08954i | −0.0436140 | + | 0.303342i | ||||
\(404\) | 15.9940 | − | 24.8871i | 0.795731 | − | 1.23818i | ||||
\(405\) | −2.70553 | − | 3.12235i | −0.134439 | − | 0.155151i | ||||
\(406\) | 5.73009 | + | 0.00536383i | 0.284380 | + | 0.000266202i | ||||
\(407\) | −14.5781 | + | 9.36876i | −0.722608 | + | 0.464392i | ||||
\(408\) | 7.26451 | − | 24.7407i | 0.359647 | − | 1.22485i | ||||
\(409\) | 11.0439 | + | 9.56956i | 0.546084 | + | 0.473184i | 0.883670 | − | 0.468110i | \(-0.155065\pi\) |
−0.337586 | + | 0.941295i | \(0.609610\pi\) | |||||||
\(410\) | 7.49838 | + | 25.5371i | 0.370318 | + | 1.26119i | ||||
\(411\) | 0.773960 | − | 1.69474i | 0.0381766 | − | 0.0835952i | ||||
\(412\) | −8.25357 | − | 57.4049i | −0.406624 | − | 2.82814i | ||||
\(413\) | 17.4148 | + | 7.97277i | 0.856925 | + | 0.392314i | ||||
\(414\) | 10.5288 | − | 5.39917i | 0.517464 | − | 0.265354i | ||||
\(415\) | 11.9029 | 0.584291 | ||||||||
\(416\) | 0.762977 | − | 0.109700i | 0.0374080 | − | 0.00537846i | ||||
\(417\) | −0.632887 | + | 1.38583i | −0.0309926 | + | 0.0678643i | ||||
\(418\) | 5.16861 | + | 17.6027i | 0.252805 | + | 0.860975i | ||||
\(419\) | 0.354031 | − | 0.408573i | 0.0172955 | − | 0.0199601i | −0.747036 | − | 0.664784i | \(-0.768524\pi\) |
0.764331 | + | 0.644824i | \(0.223069\pi\) | |||||||
\(420\) | 33.7374 | + | 29.2890i | 1.64622 | + | 1.42916i | ||||
\(421\) | −2.55694 | − | 3.97867i | −0.124618 | − | 0.193909i | 0.773339 | − | 0.633993i | \(-0.218585\pi\) |
−0.897957 | + | 0.440084i | \(0.854949\pi\) | |||||||
\(422\) | 6.19573 | + | 13.5668i | 0.301603 | + | 0.660419i | ||||
\(423\) | −5.35334 | + | 4.63869i | −0.260288 | + | 0.225541i | ||||
\(424\) | −21.9447 | + | 34.1466i | −1.06573 | + | 1.65831i | ||||
\(425\) | 8.59993 | − | 59.8138i | 0.417158 | − | 2.90140i | ||||
\(426\) | −32.0134 | − | 4.60283i | −1.55106 | − | 0.223008i | ||||
\(427\) | 2.69536 | − | 1.72864i | 0.130438 | − | 0.0836547i | ||||
\(428\) | 7.09548 | − | 6.14827i | 0.342973 | − | 0.297188i | ||||
\(429\) | 1.81772 | − | 0.830124i | 0.0877602 | − | 0.0400787i | ||||
\(430\) | 43.6976 | + | 67.9949i | 2.10729 | + | 3.27900i | ||||
\(431\) | −0.0963122 | + | 0.328009i | −0.00463920 | + | 0.0157997i | −0.961780 | − | 0.273823i | \(-0.911712\pi\) |
0.957141 | + | 0.289623i | \(0.0935299\pi\) | |||||||
\(432\) | −3.42454 | − | 2.96738i | −0.164763 | − | 0.142768i | ||||
\(433\) | 20.5969 | − | 6.04779i | 0.989822 | − | 0.290638i | 0.253549 | − | 0.967323i | \(-0.418402\pi\) |
0.736273 | + | 0.676685i | \(0.236584\pi\) | |||||||
\(434\) | −34.6852 | + | 29.9981i | −1.66494 | + | 1.43996i | ||||
\(435\) | −3.58972 | + | 0.516124i | −0.172114 | + | 0.0247463i | ||||
\(436\) | − | 12.6645i | − | 0.606519i | ||||||
\(437\) | −15.5539 | − | 1.51922i | −0.744046 | − | 0.0726742i | ||||
\(438\) | −5.77450 | −0.275916 | ||||||||
\(439\) | 17.8451 | − | 2.56573i | 0.851698 | − | 0.122456i | 0.297379 | − | 0.954760i | \(-0.403888\pi\) |
0.554320 | + | 0.832304i | \(0.312979\pi\) | |||||||
\(440\) | −44.1620 | − | 20.1681i | −2.10534 | − | 0.961477i | ||||
\(441\) | −5.88168 | − | 3.79550i | −0.280080 | − | 0.180738i | ||||
\(442\) | 8.17598 | + | 7.08453i | 0.388892 | + | 0.336977i | ||||
\(443\) | 30.1373 | + | 8.84910i | 1.43187 | + | 0.420434i | 0.903502 | − | 0.428585i | \(-0.140988\pi\) |
0.528364 | + | 0.849018i | \(0.322806\pi\) | |||||||
\(444\) | −26.1125 | + | 16.7815i | −1.23924 | + | 0.796414i | ||||
\(445\) | 24.6023 | + | 53.8716i | 1.16626 | + | 2.55376i | ||||
\(446\) | 37.7104 | − | 32.6763i | 1.78564 | − | 1.54727i | ||||
\(447\) | 11.4601 | + | 7.36494i | 0.542043 | + | 0.348350i | ||||
\(448\) | −15.3284 | − | 9.87122i | −0.724196 | − | 0.466371i | ||||
\(449\) | 4.30126 | − | 29.9159i | 0.202989 | − | 1.41182i | −0.592363 | − | 0.805671i | \(-0.701805\pi\) |
0.795352 | − | 0.606148i | \(-0.207286\pi\) | |||||||
\(450\) | −25.0500 | − | 16.0986i | −1.18087 | − | 0.758897i | ||||
\(451\) | 3.90167 | + | 4.50277i | 0.183723 | + | 0.212027i | ||||
\(452\) | −51.1070 | + | 23.3398i | −2.40387 | + | 1.09781i | ||||
\(453\) | 3.10306 | + | 4.82845i | 0.145794 | + | 0.226861i | ||||
\(454\) | −6.66660 | − | 1.95749i | −0.312879 | − | 0.0918695i | ||||
\(455\) | −8.71118 | + | 3.96841i | −0.408387 | + | 0.186042i | ||||
\(456\) | 4.72791 | + | 16.1018i | 0.221404 | + | 0.754034i | ||||
\(457\) | −32.6834 | − | 14.9260i | −1.52887 | − | 0.698210i | −0.539276 | − | 0.842129i | \(-0.681302\pi\) |
−0.989589 | + | 0.143919i | \(0.954029\pi\) | |||||||
\(458\) | −9.78772 | − | 68.0751i | −0.457350 | − | 3.18094i | ||||
\(459\) | − | 5.00698i | − | 0.233706i | ||||||
\(460\) | 58.7321 | − | 55.7586i | 2.73840 | − | 2.59976i | ||||
\(461\) | 15.8856i | 0.739864i | 0.929059 | + | 0.369932i | \(0.120619\pi\) | ||||
−0.929059 | + | 0.369932i | \(0.879381\pi\) | |||||||
\(462\) | 14.2879 | + | 4.20985i | 0.664735 | + | 0.195860i | ||||
\(463\) | 0.784513 | − | 1.71784i | 0.0364594 | − | 0.0798350i | −0.890526 | − | 0.454932i | \(-0.849663\pi\) |
0.926985 | + | 0.375097i | \(0.122391\pi\) | |||||||
\(464\) | −3.81652 | + | 1.12063i | −0.177177 | + | 0.0520240i | ||||
\(465\) | 19.0067 | − | 21.9349i | 0.881413 | − | 1.01720i | ||||
\(466\) | −47.6262 | − | 13.9843i | −2.20624 | − | 0.647811i | ||||
\(467\) | 11.0618 | − | 7.10896i | 0.511877 | − | 0.328964i | −0.259074 | − | 0.965857i | \(-0.583417\pi\) |
0.770952 | + | 0.636894i | \(0.219781\pi\) | |||||||
\(468\) | 3.25593 | − | 1.48693i | 0.150505 | − | 0.0687334i | ||||
\(469\) | −7.78130 | − | 26.5927i | −0.359307 | − | 1.22794i | ||||
\(470\) | −39.0365 | + | 60.7419i | −1.80062 | + | 2.80182i | ||||
\(471\) | −11.7590 | − | 1.69069i | −0.541827 | − | 0.0779030i | ||||
\(472\) | −36.9011 | − | 5.30558i | −1.69851 | − | 0.244209i | ||||
\(473\) | 15.2212 | + | 9.78205i | 0.699870 | + | 0.449779i | ||||
\(474\) | 16.4489 | + | 18.9831i | 0.755524 | + | 0.871921i | ||||
\(475\) | 16.3376 | + | 35.7744i | 0.749622 | + | 1.64144i | ||||
\(476\) | 7.65549 | + | 53.6013i | 0.350889 | + | 2.45681i | ||||
\(477\) | −2.22057 | + | 7.56257i | −0.101673 | + | 0.346266i | ||||
\(478\) | −3.00288 | + | 3.46551i | −0.137348 | + | 0.158509i | ||||
\(479\) | −0.139679 | + | 0.0410135i | −0.00638211 | + | 0.00187396i | −0.284922 | − | 0.958551i | \(-0.591968\pi\) |
0.278540 | + | 0.960425i | \(0.410150\pi\) | |||||||
\(480\) | −3.30788 | − | 1.51066i | −0.150983 | − | 0.0689517i | ||||
\(481\) | −0.946479 | − | 6.58290i | −0.0431557 | − | 0.300155i | ||||
\(482\) | −58.8724 | −2.68157 | ||||||||
\(483\) | −7.87446 | + | 9.94952i | −0.358300 | + | 0.452719i | ||||
\(484\) | 23.6783 | 1.07629 | ||||||||
\(485\) | −5.76649 | − | 40.1068i | −0.261843 | − | 1.82116i | ||||
\(486\) | −2.24428 | − | 1.02493i | −0.101803 | − | 0.0464917i | ||||
\(487\) | −5.44881 | + | 1.59991i | −0.246909 | + | 0.0724990i | −0.402845 | − | 0.915268i | \(-0.631979\pi\) |
0.155936 | + | 0.987767i | \(0.450161\pi\) | |||||||
\(488\) | −4.08152 | + | 4.71032i | −0.184762 | + | 0.213226i | ||||
\(489\) | 5.24628 | − | 17.8672i | 0.237245 | − | 0.807982i | ||||
\(490\) | −68.4250 | − | 20.2306i | −3.09113 | − | 0.913927i | ||||
\(491\) | −1.46574 | − | 3.20953i | −0.0661481 | − | 0.144844i | 0.873670 | − | 0.486518i | \(-0.161733\pi\) |
−0.939818 | + | 0.341674i | \(0.889006\pi\) | |||||||
\(492\) | 6.98874 | + | 8.06544i | 0.315077 | + | 0.363618i | ||||
\(493\) | −3.69746 | − | 2.37622i | −0.166525 | − | 0.107019i | ||||
\(494\) | −6.96917 | − | 1.00202i | −0.313558 | − | 0.0450828i | ||||
\(495\) | −9.33139 | − | 1.34165i | −0.419415 | − | 0.0603028i | ||||
\(496\) | 17.2103 | − | 26.7797i | 0.772764 | − | 1.20244i | ||||
\(497\) | 33.2869 | − | 9.74008i | 1.49312 | − | 0.436902i | ||||
\(498\) | 6.46588 | − | 2.95287i | 0.289743 | − | 0.132321i | ||||
\(499\) | 3.83914 | − | 2.46727i | 0.171864 | − | 0.110450i | −0.451881 | − | 0.892078i | \(-0.649247\pi\) |
0.623745 | + | 0.781628i | \(0.285611\pi\) | |||||||
\(500\) | −114.534 | − | 33.6301i | −5.12210 | − | 1.50398i | ||||
\(501\) | 9.76109 | − | 11.2649i | 0.436093 | − | 0.503279i | ||||
\(502\) | −65.0902 | + | 19.1122i | −2.90512 | + | 0.853019i | ||||
\(503\) | 0.0346005 | − | 0.0757646i | 0.00154276 | − | 0.00337818i | −0.908859 | − | 0.417103i | \(-0.863045\pi\) |
0.910402 | + | 0.413725i | \(0.135773\pi\) | |||||||
\(504\) | 13.0697 | + | 3.85089i | 0.582169 | + | 0.171532i | ||||
\(505\) | − | 29.9031i | − | 1.33067i | ||||||
\(506\) | 10.0891 | − | 25.0441i | 0.448516 | − | 1.11334i | ||||
\(507\) | − | 12.2331i | − | 0.543290i | ||||||
\(508\) | 11.2400 | + | 78.1761i | 0.498696 | + | 3.46850i | ||||
\(509\) | 6.43009 | + | 2.93652i | 0.285009 | + | 0.130159i | 0.552790 | − | 0.833321i | \(-0.313563\pi\) |
−0.267781 | + | 0.963480i | \(0.586290\pi\) | |||||||
\(510\) | −14.3790 | − | 48.9703i | −0.636712 | − | 2.16844i | ||||
\(511\) | 5.63511 | − | 2.56710i | 0.249283 | − | 0.113562i | ||||
\(512\) | 40.9537 | + | 12.0251i | 1.80992 | + | 0.531439i | ||||
\(513\) | 1.76176 | + | 2.74136i | 0.0777837 | + | 0.121034i | ||||
\(514\) | 2.54256 | − | 1.16115i | 0.112148 | − | 0.0512160i | ||||
\(515\) | −38.3892 | − | 44.3035i | −1.69163 | − | 1.95225i | ||||
\(516\) | 27.2644 | + | 17.5218i | 1.20025 | + | 0.771353i | ||||
\(517\) | −2.30030 | + | 15.9989i | −0.101167 | + | 0.703631i | ||||
\(518\) | 26.8403 | − | 41.6786i | 1.17930 | − | 1.83125i | ||||
\(519\) | 18.9383 | + | 12.1709i | 0.831299 | + | 0.534243i | ||||
\(520\) | 14.0815 | − | 12.2017i | 0.617514 | − | 0.535079i | ||||
\(521\) | 14.2429 | + | 31.1876i | 0.623992 | + | 1.36635i | 0.912580 | + | 0.408898i | \(0.134087\pi\) |
−0.288588 | + | 0.957453i | \(0.593186\pi\) | |||||||
\(522\) | −1.82196 | + | 1.17090i | −0.0797451 | + | 0.0512491i | ||||
\(523\) | −34.1250 | − | 10.0200i | −1.49218 | − | 0.438144i | −0.568945 | − | 0.822376i | \(-0.692648\pi\) |
−0.923237 | + | 0.384232i | \(0.874466\pi\) | |||||||
\(524\) | 46.4827 | + | 40.2775i | 2.03061 | + | 1.75953i | ||||
\(525\) | 31.6021 | + | 4.57389i | 1.37923 | + | 0.199621i | ||||
\(526\) | 29.1960 | + | 13.3333i | 1.27300 | + | 0.581362i | ||||
\(527\) | 34.8166 | − | 5.00588i | 1.51664 | − | 0.218059i | ||||
\(528\) | −10.3398 | −0.449981 | ||||||||
\(529\) | 16.5770 | + | 15.9438i | 0.720738 | + | 0.693207i | ||||
\(530\) | 80.3420i | 3.48983i | ||||||||
\(531\) | −7.16549 | + | 1.03024i | −0.310956 | + | 0.0447087i | ||||
\(532\) | −23.0516 | − | 26.6534i | −0.999415 | − | 1.15557i | ||||
\(533\) | −2.19397 | + | 0.644208i | −0.0950315 | + | 0.0279038i | ||||
\(534\) | 26.7289 | + | 23.1607i | 1.15667 | + | 1.00226i | ||||
\(535\) | 2.67368 | − | 9.10572i | 0.115593 | − | 0.393675i | ||||
\(536\) | 29.1578 | + | 45.3704i | 1.25943 | + | 1.95970i | ||||
\(537\) | 10.9738 | − | 5.01155i | 0.473553 | − | 0.216264i | ||||
\(538\) | 10.6618 | − | 9.23851i | 0.459663 | − | 0.398301i | ||||
\(539\) | −15.8146 | + | 2.24358i | −0.681182 | + | 0.0966379i | ||||
\(540\) | −16.7145 | − | 2.40319i | −0.719280 | − | 0.103417i | ||||
\(541\) | −2.52033 | + | 17.5293i | −0.108358 | + | 0.753643i | 0.861109 | + | 0.508420i | \(0.169770\pi\) |
−0.969467 | + | 0.245223i | \(0.921139\pi\) | |||||||
\(542\) | 24.7686 | − | 38.5407i | 1.06390 | − | 1.65546i | ||||
\(543\) | 2.76593 | − | 2.39669i | 0.118697 | − | 0.102852i | ||||
\(544\) | −1.83079 | − | 4.00888i | −0.0784946 | − | 0.171879i | ||||
\(545\) | −6.92093 | − | 10.7692i | −0.296460 | − | 0.461301i | ||||
\(546\) | −3.74759 | + | 4.31678i | −0.160382 | + | 0.184741i | ||||
\(547\) | 20.3136 | − | 23.4431i | 0.868546 | − | 1.00236i | −0.131393 | − | 0.991330i | \(-0.541945\pi\) |
0.999939 | − | 0.0110253i | \(-0.00350955\pi\) | |||||||
\(548\) | −2.14540 | − | 7.30656i | −0.0916469 | − | 0.312121i | ||||
\(549\) | −0.502761 | + | 1.10089i | −0.0214573 | + | 0.0469850i | ||||
\(550\) | −67.2549 | + | 9.66979i | −2.86776 | + | 0.412321i | ||||
\(551\) | 2.86048 | 0.121861 | ||||||||
\(552\) | 9.22886 | − | 22.9087i | 0.392806 | − | 0.975057i | ||||
\(553\) | −24.4909 | − | 11.2124i | −1.04146 | − | 0.476798i | ||||
\(554\) | 0.802881 | + | 5.58416i | 0.0341112 | + | 0.237248i | ||||
\(555\) | −13.0338 | + | 28.5401i | −0.553255 | + | 1.21146i | ||||
\(556\) | 1.75435 | + | 5.97476i | 0.0744009 | + | 0.253386i | ||||
\(557\) | 8.26885 | + | 7.16500i | 0.350362 | + | 0.303591i | 0.812206 | − | 0.583371i | \(-0.198266\pi\) |
−0.461844 | + | 0.886961i | \(0.652812\pi\) | |||||||
\(558\) | 4.88318 | − | 16.6306i | 0.206721 | − | 0.704029i | ||||
\(559\) | −5.84165 | + | 3.75420i | −0.247075 | + | 0.158786i | ||||
\(560\) | 49.5310 | + | 0.0463650i | 2.09307 | + | 0.00195928i | ||||
\(561\) | −7.48190 | − | 8.63457i | −0.315886 | − | 0.364552i | ||||
\(562\) | 1.60310 | − | 2.49448i | 0.0676228 | − | 0.105223i | ||||
\(563\) | 2.67917 | − | 18.6340i | 0.112914 | − | 0.785331i | −0.852147 | − | 0.523303i | \(-0.824700\pi\) |
0.965060 | − | 0.262028i | \(-0.0843914\pi\) | |||||||
\(564\) | −4.12033 | + | 28.6575i | −0.173497 | + | 1.20670i | ||||
\(565\) | −30.7038 | + | 47.7760i | −1.29172 | + | 2.00995i | ||||
\(566\) | −39.0208 | − | 45.0324i | −1.64017 | − | 1.89285i | ||||
\(567\) | 2.64575 | + | 0.00247664i | 0.111111 | + | 0.000104009i | ||||
\(568\) | −56.7915 | + | 36.4977i | −2.38292 | + | 1.53141i | ||||
\(569\) | 7.87243 | − | 26.8110i | 0.330030 | − | 1.12398i | −0.612671 | − | 0.790338i | \(-0.709905\pi\) |
0.942701 | − | 0.333640i | \(-0.108277\pi\) | |||||||
\(570\) | 25.1033 | + | 21.7522i | 1.05146 | + | 0.911097i | ||||
\(571\) | 4.01578 | + | 13.6765i | 0.168055 | + | 0.572344i | 0.999851 | + | 0.0172620i | \(0.00549493\pi\) |
−0.831796 | + | 0.555082i | \(0.812687\pi\) | |||||||
\(572\) | 3.39295 | − | 7.42953i | 0.141866 | − | 0.310644i | ||||
\(573\) | −3.61714 | − | 25.1577i | −0.151108 | − | 1.05098i | ||||
\(574\) | −15.4973 | − | 7.09492i | −0.646845 | − | 0.296136i | ||||
\(575\) | 13.7676 | − | 56.2193i | 0.574150 | − | 2.34451i | ||||
\(576\) | 6.89098 | 0.287124 | ||||||||
\(577\) | 13.4582 | − | 1.93499i | 0.560270 | − | 0.0805547i | 0.143639 | − | 0.989630i | \(-0.454120\pi\) |
0.416631 | + | 0.909075i | \(0.363211\pi\) | |||||||
\(578\) | 8.27107 | − | 18.1111i | 0.344031 | − | 0.753323i | ||||
\(579\) | −0.337515 | − | 1.14947i | −0.0140266 | − | 0.0477704i | ||||
\(580\) | −9.70706 | + | 11.2025i | −0.403064 | + | 0.465160i | ||||
\(581\) | −4.99709 | + | 5.75605i | −0.207314 | + | 0.238801i | ||||
\(582\) | −13.0821 | − | 20.3562i | −0.542272 | − | 0.843792i | ||||
\(583\) | 7.47131 | + | 16.3599i | 0.309430 | + | 0.677557i | ||||
\(584\) | −9.10906 | + | 7.89305i | −0.376936 | + | 0.326617i | ||||
\(585\) | 1.95608 | − | 3.04371i | 0.0808738 | − | 0.125842i | ||||
\(586\) | 7.35141 | − | 51.1302i | 0.303684 | − | 2.11217i | ||||
\(587\) | 26.3162 | + | 3.78369i | 1.08618 | + | 0.156170i | 0.662072 | − | 0.749440i | \(-0.269677\pi\) |
0.424112 | + | 0.905610i | \(0.360586\pi\) | |||||||
\(588\) | −28.3273 | + | 4.01874i | −1.16820 | + | 0.165730i | ||||
\(589\) | −17.3010 | + | 14.9914i | −0.712874 | + | 0.617709i | ||||
\(590\) | −67.1227 | + | 30.6539i | −2.76340 | + | 1.26200i | ||||
\(591\) | −4.15118 | − | 6.45937i | −0.170757 | − | 0.265703i | ||||
\(592\) | −9.69502 | + | 33.0182i | −0.398463 | + | 1.35704i | ||||
\(593\) | −18.9458 | − | 16.4167i | −0.778012 | − | 0.674151i | 0.172441 | − | 0.985020i | \(-0.444835\pi\) |
−0.950453 | + | 0.310869i | \(0.899380\pi\) | |||||||
\(594\) | −5.40182 | + | 1.58612i | −0.221639 | + | 0.0650792i | ||||
\(595\) | 35.8020 | + | 41.3960i | 1.46774 | + | 1.69707i | ||||
\(596\) | 55.1128 | − | 7.92402i | 2.25751 | − | 0.324580i | ||||
\(597\) | 17.2644i | 0.706584i | ||||||||
\(598\) | 7.13444 | + | 7.51491i | 0.291749 | + | 0.307307i | ||||
\(599\) | −24.3128 | −0.993393 | −0.496696 | − | 0.867924i | \(-0.665454\pi\) | ||||
−0.496696 | + | 0.867924i | \(0.665454\pi\) | |||||||
\(600\) | −61.5203 | + | 8.84529i | −2.51156 | + | 0.361107i | ||||
\(601\) | −9.32872 | − | 4.26028i | −0.380526 | − | 0.173781i | 0.215963 | − | 0.976402i | \(-0.430711\pi\) |
−0.596489 | + | 0.802621i | \(0.703438\pi\) | |||||||
\(602\) | −51.2264 | − | 7.41419i | −2.08783 | − | 0.302180i | ||||
\(603\) | 7.91463 | + | 6.85807i | 0.322309 | + | 0.279282i | ||||
\(604\) | 22.5091 | + | 6.60926i | 0.915882 | + | 0.268927i | ||||
\(605\) | 20.1348 | − | 12.9398i | 0.818594 | − | 0.526079i | ||||
\(606\) | −7.41835 | − | 16.2439i | −0.301350 | − | 0.659864i | ||||
\(607\) | 4.41380 | − | 3.82458i | 0.179151 | − | 0.155235i | −0.560669 | − | 0.828040i | \(-0.689456\pi\) |
0.739820 | + | 0.672805i | \(0.234911\pi\) | |||||||
\(608\) | 2.41294 | + | 1.55070i | 0.0978575 | + | 0.0628892i | ||||
\(609\) | 1.25745 | − | 1.95261i | 0.0509544 | − | 0.0791237i | ||||
\(610\) | −1.75568 | + | 12.2110i | −0.0710853 | + | 0.494409i | ||||
\(611\) | −5.21852 | − | 3.35374i | −0.211119 | − | 0.135678i | ||||
\(612\) | −13.4017 | − | 15.4664i | −0.541732 | − | 0.625192i | ||||
\(613\) | 19.9357 | − | 9.10435i | 0.805197 | − | 0.367721i | 0.0300868 | − | 0.999547i | \(-0.490422\pi\) |
0.775110 | + | 0.631826i | \(0.217694\pi\) | |||||||
\(614\) | −8.41282 | − | 13.0906i | −0.339514 | − | 0.528294i | ||||
\(615\) | 10.3505 | + | 3.03917i | 0.417371 | + | 0.122551i | ||||
\(616\) | 28.2931 | − | 12.8890i | 1.13996 | − | 0.519313i | ||||
\(617\) | 2.83028 | + | 9.63905i | 0.113943 | + | 0.388054i | 0.996642 | − | 0.0818852i | \(-0.0260941\pi\) |
−0.882699 | + | 0.469939i | \(0.844276\pi\) | |||||||
\(618\) | −31.8445 | − | 14.5429i | −1.28097 | − | 0.585001i | ||||
\(619\) | 0.252742 | + | 1.75786i | 0.0101586 | + | 0.0706544i | 0.994270 | − | 0.106897i | \(-0.0340915\pi\) |
−0.984112 | + | 0.177551i | \(0.943182\pi\) | |||||||
\(620\) | − | 118.629i | − | 4.76426i | ||||||
\(621\) | 0.466211 | − | 4.77312i | 0.0187084 | − | 0.191539i | ||||
\(622\) | − | 7.64794i | − | 0.306655i | ||||||
\(623\) | −36.3800 | − | 10.7191i | −1.45753 | − | 0.429452i | ||||
\(624\) | 1.64847 | − | 3.60965i | 0.0659916 | − | 0.144501i | ||||
\(625\) | −57.8711 | + | 16.9925i | −2.31484 | + | 0.679699i | ||||
\(626\) | −1.77402 | + | 2.04733i | −0.0709040 | + | 0.0818276i | ||||
\(627\) | 7.13456 | + | 2.09489i | 0.284927 | + | 0.0836620i | ||||
\(628\) | −40.8485 | + | 26.2517i | −1.63003 | + | 1.04756i | ||||
\(629\) | −34.5882 | + | 15.7959i | −1.37912 | + | 0.629825i | ||||
\(630\) | 25.8836 | − | 7.57380i | 1.03123 | − | 0.301747i | ||||
\(631\) | 0.469347 | − | 0.730318i | 0.0186844 | − | 0.0290735i | −0.831786 | − | 0.555097i | \(-0.812681\pi\) |
0.850470 | + | 0.526023i | \(0.176318\pi\) | |||||||
\(632\) | 51.8952 | + | 7.46140i | 2.06428 | + | 0.296798i | ||||
\(633\) | 5.98350 | + | 0.860297i | 0.237823 | + | 0.0341938i | ||||
\(634\) | 25.0860 | + | 16.1218i | 0.996293 | + | 0.640279i | ||||
\(635\) | 52.2799 | + | 60.3342i | 2.07466 | + | 2.39429i | ||||
\(636\) | 13.3827 | + | 29.3041i | 0.530660 | + | 1.16198i | ||||
\(637\) | 1.73808 | − | 5.87860i | 0.0688650 | − | 0.232919i | ||||
\(638\) | −1.39231 | + | 4.74178i | −0.0551221 | + | 0.187729i | ||||
\(639\) | −8.58445 | + | 9.90698i | −0.339595 | + | 0.391914i | ||||
\(640\) | 74.3749 | − | 21.8385i | 2.93993 | − | 0.863241i | ||||
\(641\) | 20.4674 | + | 9.34715i | 0.808414 | + | 0.369190i | 0.776355 | − | 0.630296i | \(-0.217066\pi\) |
0.0320589 | + | 0.999486i | \(0.489794\pi\) | |||||||
\(642\) | −0.806550 | − | 5.60968i | −0.0318320 | − | 0.221396i | ||||
\(643\) | 22.9633 | 0.905585 | 0.452792 | − | 0.891616i | \(-0.350428\pi\) | ||||
0.452792 | + | 0.891616i | \(0.350428\pi\) | |||||||
\(644\) | 2.30699 | + | 51.8105i | 0.0909081 | + | 2.04162i | ||||
\(645\) | 32.7595 | 1.28990 | ||||||||
\(646\) | 5.72897 | + | 39.8459i | 0.225403 | + | 1.56771i | ||||
\(647\) | −26.0075 | − | 11.8772i | −1.02246 | − | 0.466942i | −0.167630 | − | 0.985850i | \(-0.553611\pi\) |
−0.854830 | + | 0.518908i | \(0.826339\pi\) | |||||||
\(648\) | −4.94123 | + | 1.45088i | −0.194110 | + | 0.0569958i | ||||
\(649\) | −10.8174 | + | 12.4840i | −0.424622 | + | 0.490040i | ||||
\(650\) | 7.34668 | − | 25.0205i | 0.288161 | − | 0.981385i | ||||
\(651\) | 2.62794 | + | 18.4000i | 0.102997 | + | 0.721153i | ||||
\(652\) | −31.6178 | − | 69.2333i | −1.23825 | − | 2.71138i | ||||
\(653\) | 6.67639 | + | 7.70496i | 0.261267 | + | 0.301518i | 0.871194 | − | 0.490940i | \(-0.163346\pi\) |
−0.609926 | + | 0.792458i | \(0.708801\pi\) | |||||||
\(654\) | −6.43119 | − | 4.13308i | −0.251480 | − | 0.161616i | ||||
\(655\) | 61.5373 | + | 8.84773i | 2.40446 | + | 0.345710i | ||||
\(656\) | 11.7111 | + | 1.68380i | 0.457241 | + | 0.0657413i | ||||
\(657\) | −1.26535 | + | 1.96893i | −0.0493661 | + | 0.0768151i | ||||
\(658\) | −12.9855 | − | 44.3781i | −0.506226 | − | 1.73004i | ||||
\(659\) | 26.2323 | − | 11.9799i | 1.02187 | − | 0.466671i | 0.167241 | − | 0.985916i | \(-0.446514\pi\) |
0.854625 | + | 0.519245i | \(0.173787\pi\) | |||||||
\(660\) | −32.4154 | + | 20.8321i | −1.26177 | + | 0.810889i | ||||
\(661\) | −46.9303 | − | 13.7800i | −1.82538 | − | 0.535979i | −0.825771 | − | 0.564005i | \(-0.809260\pi\) |
−0.999607 | + | 0.0280256i | \(0.991078\pi\) | |||||||
\(662\) | 13.0310 | − | 15.0386i | 0.506465 | − | 0.584492i | ||||
\(663\) | 4.20719 | − | 1.23534i | 0.163394 | − | 0.0479767i | ||||
\(664\) | 6.16347 | − | 13.4961i | 0.239189 | − | 0.523751i | ||||
\(665\) | −34.1675 | − | 10.0672i | −1.32496 | − | 0.390390i | ||||
\(666\) | 18.7369i | 0.726041i | ||||||||
\(667\) | −3.30351 | − | 2.60951i | −0.127912 | − | 0.101040i | ||||
\(668\) | − | 60.9234i | − | 2.35720i | ||||||
\(669\) | −2.87821 | − | 20.0184i | −0.111278 | − | 0.773955i | ||||
\(670\) | 97.1032 | + | 44.3455i | 3.75142 | + | 1.71322i | ||||
\(671\) | 0.778042 | + | 2.64977i | 0.0300360 | + | 0.102293i | ||||
\(672\) | 2.11924 | − | 0.965429i | 0.0817516 | − | 0.0372422i | ||||
\(673\) | −12.3722 | − | 3.63280i | −0.476913 | − | 0.140034i | 0.0344371 | − | 0.999407i | \(-0.489036\pi\) |
−0.511350 | + | 0.859373i | \(0.670854\pi\) | |||||||
\(674\) | 1.98769 | + | 3.09291i | 0.0765631 | + | 0.119135i | ||||
\(675\) | −10.9783 | + | 5.01361i | −0.422554 | + | 0.192974i | ||||
\(676\) | −32.7431 | − | 37.7875i | −1.25935 | − | 1.45337i | ||||
\(677\) | −0.877840 | − | 0.564154i | −0.0337381 | − | 0.0216822i | 0.523663 | − | 0.851925i | \(-0.324565\pi\) |
−0.557401 | + | 0.830243i | \(0.688201\pi\) | |||||||
\(678\) | −4.82660 | + | 33.5698i | −0.185365 | + | 1.28924i | ||||
\(679\) | 21.8159 | + | 14.0491i | 0.837216 | + | 0.539154i | ||||
\(680\) | −89.6189 | − | 57.5945i | −3.43673 | − | 2.20865i | ||||
\(681\) | −2.12828 | + | 1.84416i | −0.0815558 | + | 0.0706685i | ||||
\(682\) | −16.4299 | − | 35.9764i | −0.629133 | − | 1.37761i | ||||
\(683\) | 18.9277 | − | 12.1641i | 0.724250 | − | 0.465447i | −0.125863 | − | 0.992048i | \(-0.540170\pi\) |
0.850113 | + | 0.526601i | \(0.176534\pi\) | |||||||
\(684\) | 12.7795 | + | 3.75241i | 0.488638 | + | 0.143477i | ||||
\(685\) | −5.81725 | − | 5.04067i | −0.222266 | − | 0.192594i | ||||
\(686\) | 38.5094 | − | 24.5960i | 1.47030 | − | 0.939079i | ||||
\(687\) | −25.3563 | − | 11.5798i | −0.967402 | − | 0.441798i | ||||
\(688\) | 35.5645 | − | 5.11340i | 1.35588 | − | 0.194946i | ||||
\(689\) | −6.90243 | −0.262961 | ||||||||
\(690\) | −9.14763 | − | 48.0218i | −0.348244 | − | 1.82816i | ||||
\(691\) | 0.113660i | 0.00432384i | 0.999998 | + | 0.00216192i | \(0.000688161\pi\) | ||||
−0.999998 | + | 0.00216192i | \(0.999312\pi\) | |||||||
\(692\) | 91.0763 | − | 13.0948i | 3.46220 | − | 0.497790i | ||||
\(693\) | 4.56631 | − | 3.94925i | 0.173460 | − | 0.150020i | ||||
\(694\) | 30.1610 | − | 8.85607i | 1.14490 | − | 0.336172i | ||||
\(695\) | 4.75691 | + | 4.12188i | 0.180440 | + | 0.156352i | ||||
\(696\) | −1.27359 | + | 4.33746i | −0.0482755 | + | 0.164411i | ||||
\(697\) | 7.06806 | + | 10.9981i | 0.267722 | + | 0.416584i | ||||
\(698\) | −52.3216 | + | 23.8945i | −1.98040 | + | 0.904419i | ||||
\(699\) | −15.2044 | + | 13.1747i | −0.575085 | + | 0.498314i | ||||
\(700\) | 109.860 | − | 70.4576i | 4.15232 | − | 2.66305i | ||||
\(701\) | −42.9652 | − | 6.17747i | −1.62277 | − | 0.233320i | −0.729876 | − | 0.683579i | \(-0.760422\pi\) |
−0.892898 | + | 0.450259i | \(0.851331\pi\) | |||||||
\(702\) | 0.307493 | − | 2.13866i | 0.0116056 | − | 0.0807187i | ||||
\(703\) | 13.3793 | − | 20.8186i | 0.504610 | − | 0.785189i | ||||
\(704\) | 11.8835 | − | 10.2971i | 0.447877 | − | 0.388088i | ||||
\(705\) | 12.1572 | + | 26.6205i | 0.457865 | + | 1.00258i | ||||
\(706\) | −5.12809 | − | 7.97946i | −0.192998 | − | 0.300311i | ||||
\(707\) | 14.4606 | + | 12.5539i | 0.543848 | + | 0.472139i | ||||
\(708\) | −19.3764 | + | 22.3615i | −0.728209 | + | 0.840398i | ||||
\(709\) | 3.33206 | + | 11.3480i | 0.125138 | + | 0.426182i | 0.998101 | − | 0.0616060i | \(-0.0196222\pi\) |
−0.872962 | + | 0.487788i | \(0.837804\pi\) | |||||||
\(710\) | −55.5086 | + | 121.547i | −2.08320 | + | 4.56157i | ||||
\(711\) | 10.0771 | − | 1.44886i | 0.377919 | − | 0.0543366i | ||||
\(712\) | 73.8217 | 2.76659 | ||||||||
\(713\) | 33.6565 | − | 1.53021i | 1.26045 | − | 0.0573068i | ||||
\(714\) | 29.7178 | + | 13.6053i | 1.11216 | + | 0.509166i | ||||
\(715\) | −1.17493 | − | 8.17185i | −0.0439401 | − | 0.305610i | ||||
\(716\) | 20.4836 | − | 44.8529i | 0.765509 | − | 1.67623i | ||||
\(717\) | 0.523617 | + | 1.78328i | 0.0195548 | + | 0.0665977i | ||||
\(718\) | 15.3506 | + | 13.3014i | 0.572880 | + | 0.496403i | ||||
\(719\) | −8.09723 | + | 27.5766i | −0.301976 | + | 1.02844i | 0.659078 | + | 0.752075i | \(0.270947\pi\) |
−0.961054 | + | 0.276361i | \(0.910872\pi\) | |||||||
\(720\) | −15.7491 | + | 10.1213i | −0.586933 | + | 0.377199i | ||||
\(721\) | 37.5410 | + | 0.0351414i | 1.39810 | + | 0.00130874i | ||||
\(722\) | 13.5414 | + | 15.6277i | 0.503960 | + | 0.581601i | ||||
\(723\) | −12.9006 | + | 20.0737i | −0.479778 | + | 0.746548i | ||||
\(724\) | 2.12887 | − | 14.8066i | 0.0791187 | − | 0.550283i | ||||
\(725\) | −1.50772 | + | 10.4864i | −0.0559951 | + | 0.389455i | ||||
\(726\) | 7.72747 | − | 12.0242i | 0.286793 | − | 0.446259i | ||||
\(727\) | 14.1232 | + | 16.2990i | 0.523801 | + | 0.604498i | 0.954578 | − | 0.297960i | \(-0.0963062\pi\) |
−0.430778 | + | 0.902458i | \(0.641761\pi\) | |||||||
\(728\) | −0.0111694 | + | 11.9321i | −0.000413965 | + | 0.442232i | ||||
\(729\) | −0.841254 | + | 0.540641i | −0.0311575 | + | 0.0200237i | ||||
\(730\) | −6.72132 | + | 22.8907i | −0.248767 | + | 0.847223i | ||||
\(731\) | 30.0046 | + | 25.9992i | 1.10976 | + | 0.961614i | ||||
\(732\) | 1.39364 | + | 4.74631i | 0.0515105 | + | 0.175429i | ||||
\(733\) | 4.79060 | − | 10.4900i | 0.176945 | − | 0.387456i | −0.800291 | − | 0.599612i | \(-0.795321\pi\) |
0.977236 | + | 0.212157i | \(0.0680487\pi\) | |||||||
\(734\) | 8.53293 | + | 59.3478i | 0.314956 | + | 2.19057i | ||||
\(735\) | −21.8918 | + | 18.8977i | −0.807492 | + | 0.697054i | ||||
\(736\) | −1.37200 | − | 3.99210i | −0.0505727 | − | 0.147151i | ||||
\(737\) | 23.8968 | 0.880249 | ||||||||
\(738\) | 6.37652 | − | 0.916806i | 0.234723 | − | 0.0337481i | ||||
\(739\) | 10.2564 | − | 22.4583i | 0.377287 | − | 0.826143i | −0.621790 | − | 0.783184i | \(-0.713594\pi\) |
0.999077 | − | 0.0429588i | \(-0.0136784\pi\) | |||||||
\(740\) | 36.1295 | + | 123.046i | 1.32815 | + | 4.52325i | ||||
\(741\) | −1.86879 | + | 2.15670i | −0.0686519 | + | 0.0792285i | ||||
\(742\) | −38.8520 | − | 33.7292i | −1.42630 | − | 1.23824i | ||||
\(743\) | −8.51384 | − | 13.2478i | −0.312342 | − | 0.486014i | 0.649220 | − | 0.760601i | \(-0.275095\pi\) |
−0.961562 | + | 0.274586i | \(0.911459\pi\) | |||||||
\(744\) | −15.0290 | − | 32.9089i | −0.550989 | − | 1.20650i | ||||
\(745\) | 42.5345 | − | 36.8564i | 1.55834 | − | 1.35031i | ||||
\(746\) | −29.6595 | + | 46.1511i | −1.08591 | + | 1.68971i | ||||
\(747\) | 0.410015 | − | 2.85172i | 0.0150017 | − | 0.104339i | ||||
\(748\) | −46.2226 | − | 6.64581i | −1.69007 | − | 0.242995i | ||||
\(749\) | 3.28091 | + | 5.11571i | 0.119882 | + | 0.186924i | ||||
\(750\) | −54.4560 | + | 47.1864i | −1.98845 | + | 1.72300i | ||||
\(751\) | 30.4131 | − | 13.8892i | 1.10979 | − | 0.506823i | 0.225725 | − | 0.974191i | \(-0.427525\pi\) |
0.884063 | + | 0.467367i | \(0.154797\pi\) | |||||||
\(752\) | 17.3532 | + | 27.0022i | 0.632807 | + | 0.984668i | ||||
\(753\) | −7.74638 | + | 26.3818i | −0.282294 | + | 0.961405i | ||||
\(754\) | −1.43339 | − | 1.24204i | −0.0522010 | − | 0.0452324i | ||||
\(755\) | 22.7523 | − | 6.68069i | 0.828042 | − | 0.243135i | ||||
\(756\) | 8.17925 | − | 7.07397i | 0.297477 | − | 0.257278i | ||||
\(757\) | −16.8382 | + | 2.42096i | −0.611993 | + | 0.0879914i | −0.441340 | − | 0.897340i | \(-0.645497\pi\) |
−0.170653 | + | 0.985331i | \(0.554588\pi\) | |||||||
\(758\) | 30.8573i | 1.12079i | ||||||||
\(759\) | −6.32845 | − | 8.92792i | −0.229708 | − | 0.324063i | ||||
\(760\) | 69.3322 | 2.51494 | ||||||||
\(761\) | −27.9574 | + | 4.01967i | −1.01345 | + | 0.145713i | −0.628979 | − | 0.777422i | \(-0.716527\pi\) |
−0.384476 | + | 0.923135i | \(0.625618\pi\) | |||||||
\(762\) | 43.3671 | + | 19.8051i | 1.57102 | + | 0.717462i | ||||
\(763\) | 8.11335 | + | 1.17428i | 0.293723 | + | 0.0425116i | ||||
\(764\) | −78.5104 | − | 68.0297i | −2.84041 | − | 2.46123i | ||||
\(765\) | −19.8482 | − | 5.82796i | −0.717613 | − | 0.210710i | ||||
\(766\) | −22.5078 | + | 14.4649i | −0.813239 | + | 0.522637i | ||||
\(767\) | −2.63357 | − | 5.76672i | −0.0950928 | − | 0.208224i | ||||
\(768\) | 24.5685 | − | 21.2887i | 0.886538 | − | 0.768189i | ||||
\(769\) | 17.0143 | + | 10.9344i | 0.613551 | + | 0.394305i | 0.810187 | − | 0.586171i | \(-0.199365\pi\) |
−0.196636 | + | 0.980477i | \(0.563002\pi\) | |||||||
\(770\) | 33.3189 | − | 51.7387i | 1.20073 | − | 1.86453i | ||||
\(771\) | 0.161229 | − | 1.12137i | 0.00580653 | − | 0.0403853i | ||||
\(772\) | −4.11925 | − | 2.64728i | −0.148255 | − | 0.0952776i | ||||
\(773\) | −10.4588 | − | 12.0701i | −0.376178 | − | 0.434133i | 0.535817 | − | 0.844334i | \(-0.320004\pi\) |
−0.911995 | + | 0.410202i | \(0.865458\pi\) | |||||||
\(774\) | 17.7956 | − | 8.12697i | 0.639649 | − | 0.292118i | ||||
\(775\) | −45.8386 | − | 71.3262i | −1.64657 | − | 2.56211i | ||||
\(776\) | −48.4611 | − | 14.2295i | −1.73965 | − | 0.510808i | ||||
\(777\) | −8.32965 | − | 18.2847i | −0.298824 | − | 0.655958i | ||||
\(778\) | 1.69537 | + | 5.77389i | 0.0607819 | + | 0.207004i | ||||
\(779\) | −7.73962 | − | 3.53457i | −0.277301 | − | 0.126639i | ||||
\(780\) | −2.10456 | − | 14.6376i | −0.0753555 | − | 0.524109i | ||||
\(781\) | 29.9123i | 1.07035i | ||||||||
\(782\) | 29.7336 | − | 51.2434i | 1.06327 | − | 1.83246i | ||||
\(783\) | 0.877811i | 0.0313704i | ||||||||
\(784\) | −20.8165 | + | 23.9329i | −0.743448 | + | 0.854746i | ||||
\(785\) | −20.3892 | + | 44.6460i | −0.727720 | + | 1.59349i | ||||
\(786\) | 35.6232 | − | 10.4599i | 1.27064 | − | 0.373092i | ||||
\(787\) | −20.5260 | + | 23.6883i | −0.731674 | + | 0.844397i | −0.992659 | − | 0.120946i | \(-0.961407\pi\) |
0.260985 | + | 0.965343i | \(0.415953\pi\) | |||||||
\(788\) | −30.1120 | − | 8.84168i | −1.07270 | − | 0.314972i | ||||
\(789\) | 10.9439 | − | 7.03322i | 0.389613 | − | 0.250389i | ||||
\(790\) | 94.3968 | − | 43.1096i | 3.35849 | − | 1.53377i | ||||
\(791\) | −10.2136 | − | 34.9052i | −0.363154 | − | 1.24108i | ||||
\(792\) | −6.35314 | + | 9.88569i | −0.225749 | + | 0.351273i | ||||
\(793\) | −1.04908 | − | 0.150836i | −0.0372541 | − | 0.00535633i | ||||
\(794\) | 27.3581 | + | 3.93350i | 0.970903 | + | 0.139595i | ||||
\(795\) | 27.3941 | + | 17.6051i | 0.971570 | + | 0.624390i | ||||
\(796\) | 46.2099 | + | 53.3290i | 1.63786 | + | 1.89020i | ||||
\(797\) | −0.794821 | − | 1.74042i | −0.0281540 | − | 0.0616487i | 0.895033 | − | 0.446001i | \(-0.147152\pi\) |
−0.923187 | + | 0.384352i | \(0.874425\pi\) | |||||||
\(798\) | −21.0579 | + | 3.00755i | −0.745440 | + | 0.106466i | ||||
\(799\) | −9.99218 | + | 34.0302i | −0.353498 | + | 1.20390i | ||||
\(800\) | −6.95661 | + | 8.02836i | −0.245953 | + | 0.283845i | ||||
\(801\) | 13.7541 | − | 4.03857i | 0.485978 | − | 0.142696i | ||||
\(802\) | 48.3940 | + | 22.1008i | 1.70885 | + | 0.780406i | ||||
\(803\) | 0.760045 | + | 5.28623i | 0.0268214 | + | 0.186547i | ||||
\(804\) | 42.8043 | 1.50959 | ||||||||
\(805\) | 30.2753 | + | 42.7960i | 1.06706 | + | 1.50836i | ||||
\(806\) | 15.1789 | 0.534653 | ||||||||
\(807\) | −0.813751 | − | 5.65976i | −0.0286454 | − | 0.199233i | ||||
\(808\) | −33.9057 | − | 15.4842i | −1.19280 | − | 0.544732i | ||||
\(809\) | −35.7458 | + | 10.4959i | −1.25676 | + | 0.369017i | −0.841286 | − | 0.540590i | \(-0.818201\pi\) |
−0.415470 | + | 0.909607i | \(0.636383\pi\) | |||||||
\(810\) | −6.67519 | + | 7.70358i | −0.234542 | + | 0.270676i | ||||
\(811\) | 6.18981 | − | 21.0806i | 0.217354 | − | 0.740239i | −0.776557 | − | 0.630047i | \(-0.783035\pi\) |
0.993910 | − | 0.110191i | \(-0.0351464\pi\) | |||||||
\(812\) | −1.34214 | − | 9.39723i | −0.0470999 | − | 0.329778i | ||||
\(813\) | −7.71370 | − | 16.8906i | −0.270531 | − | 0.592381i | ||||
\(814\) | 27.9984 | + | 32.3119i | 0.981345 | + | 1.13253i | ||||
\(815\) | −64.7208 | − | 41.5936i | −2.26707 | − | 1.45696i | ||||
\(816\) | −22.4573 | − | 3.22888i | −0.786164 | − | 0.113033i | ||||
\(817\) | −25.5758 | − | 3.67725i | −0.894785 | − | 0.128651i | ||||
\(818\) | 19.4923 | − | 30.3307i | 0.681533 | − | 1.06049i | ||||
\(819\) | 0.650688 | + | 2.22374i | 0.0227369 | + | 0.0777038i | ||||
\(820\) | 40.1069 | − | 18.3162i | 1.40059 | − | 0.639629i | ||||
\(821\) | −12.4533 | + | 8.00327i | −0.434624 | + | 0.279316i | −0.739603 | − | 0.673043i | \(-0.764987\pi\) |
0.304979 | + | 0.952359i | \(0.401351\pi\) | |||||||
\(822\) | −4.41052 | − | 1.29505i | −0.153835 | − | 0.0451699i | ||||
\(823\) | −17.0254 | + | 19.6483i | −0.593467 | + | 0.684898i | −0.970444 | − | 0.241325i | \(-0.922418\pi\) |
0.376977 | + | 0.926223i | \(0.376964\pi\) | |||||||
\(824\) | −70.1120 | + | 20.5867i | −2.44247 | + | 0.717173i | ||||
\(825\) | −11.4403 | + | 25.0507i | −0.398300 | + | 0.872155i | ||||
\(826\) | 13.3558 | − | 45.3286i | 0.464707 | − | 1.57718i | ||||
\(827\) | 28.3970i | 0.987462i | 0.869615 | + | 0.493731i | \(0.164367\pi\) | ||||
−0.869615 | + | 0.493731i | \(0.835633\pi\) | |||||||
\(828\) | −11.3356 | − | 15.9918i | −0.393940 | − | 0.555755i | ||||
\(829\) | 22.1033i | 0.767679i | 0.923400 | + | 0.383839i | \(0.125398\pi\) | ||||
−0.923400 | + | 0.383839i | \(0.874602\pi\) | |||||||
\(830\) | −4.17941 | − | 29.0684i | −0.145069 | − | 1.00898i | ||||
\(831\) | 2.07996 | + | 0.949886i | 0.0721530 | + | 0.0329512i | ||||
\(832\) | 1.70017 | + | 5.79024i | 0.0589427 | + | 0.200741i | ||||
\(833\) | −35.0488 | − | 0.0656172i | −1.21437 | − | 0.00227350i | ||||
\(834\) | 3.60660 | + | 1.05899i | 0.124886 | + | 0.0366699i | ||||
\(835\) | −33.2936 | − | 51.8059i | −1.15217 | − | 1.79282i | ||||
\(836\) | 27.6456 | − | 12.6253i | 0.956142 | − | 0.436656i | ||||
\(837\) | −4.60048 | − | 5.30923i | −0.159016 | − | 0.183514i | ||||
\(838\) | −1.12210 | − | 0.721128i | −0.0387622 | − | 0.0249110i | ||||
\(839\) | 4.29032 | − | 29.8398i | 0.148118 | − | 1.03019i | −0.771178 | − | 0.636619i | \(-0.780332\pi\) |
0.919296 | − | 0.393566i | \(-0.128759\pi\) | |||||||
\(840\) | 30.4780 | − | 47.3272i | 1.05159 | − | 1.63294i | ||||
\(841\) | −23.7481 | − | 15.2620i | −0.818901 | − | 0.526276i | ||||
\(842\) | −8.81863 | + | 7.64139i | −0.303910 | + | 0.263340i | ||||
\(843\) | −0.499256 | − | 1.09322i | −0.0171953 | − | 0.0376524i | ||||
\(844\) | 20.7855 | − | 13.3580i | 0.715466 | − | 0.459802i | ||||
\(845\) | −48.4932 | − | 14.2389i | −1.66822 | − | 0.489833i | ||||
\(846\) | 13.2080 | + | 11.4448i | 0.454100 | + | 0.393480i | ||||
\(847\) | −2.19550 | + | 15.1692i | −0.0754383 | + | 0.521221i | ||||
\(848\) | 32.4877 | + | 14.8366i | 1.11563 | + | 0.509491i | ||||
\(849\) | −23.9052 | + | 3.43705i | −0.820425 | + | 0.117959i | ||||
\(850\) | −149.093 | −5.11384 | ||||||||
\(851\) | −34.4435 | + | 11.8375i | −1.18071 | + | 0.405786i | ||||
\(852\) | 53.5794i | 1.83560i | ||||||||
\(853\) | 18.9323 | − | 2.72205i | 0.648228 | − | 0.0932011i | 0.189645 | − | 0.981853i | \(-0.439266\pi\) |
0.458583 | + | 0.888652i | \(0.348357\pi\) | |||||||
\(854\) | −5.16797 | − | 5.97544i | −0.176844 | − | 0.204476i | ||||
\(855\) | 12.9176 | − | 3.79296i | 0.441774 | − | 0.129717i | ||||
\(856\) | −8.94006 | − | 7.74661i | −0.305565 | − | 0.264774i | ||||
\(857\) | −14.1952 | + | 48.3443i | −0.484898 | + | 1.65141i | 0.246262 | + | 0.969203i | \(0.420798\pi\) |
−0.731160 | + | 0.682206i | \(0.761021\pi\) | |||||||
\(858\) | −2.66552 | − | 4.14762i | −0.0909992 | − | 0.141598i | ||||
\(859\) | −8.77508 | + | 4.00745i | −0.299402 | + | 0.136732i | −0.559452 | − | 0.828863i | \(-0.688988\pi\) |
0.260050 | + | 0.965595i | \(0.416261\pi\) | |||||||
\(860\) | 101.193 | − | 87.6842i | 3.45065 | − | 2.99001i | ||||
\(861\) | −5.81503 | + | 3.72941i | −0.198176 | + | 0.127098i | ||||
\(862\) | 0.834859 | + | 0.120035i | 0.0284354 | + | 0.00408839i | ||||
\(863\) | 2.10833 | − | 14.6637i | 0.0717683 | − | 0.499159i | −0.921955 | − | 0.387296i | \(-0.873409\pi\) |
0.993724 | − | 0.111863i | \(-0.0356818\pi\) | |||||||
\(864\) | −0.475871 | + | 0.740470i | −0.0161895 | + | 0.0251913i | ||||
\(865\) | 70.2902 | − | 60.9068i | 2.38994 | − | 2.07089i | ||||
\(866\) | −22.0016 | − | 48.1767i | −0.747643 | − | 1.63711i | ||||
\(867\) | −4.36291 | − | 6.78882i | −0.148172 | − | 0.230561i | ||||
\(868\) | 57.3671 | + | 49.8030i | 1.94717 | + | 1.69042i | ||||
\(869\) | 15.2129 | − | 17.5566i | 0.516063 | − | 0.595568i | ||||
\(870\) | 2.52088 | + | 8.58534i | 0.0854659 | + | 0.291070i | ||||
\(871\) | −3.80986 | + | 8.34243i | −0.129092 | + | 0.282672i | ||||
\(872\) | −15.7944 | + | 2.27089i | −0.534866 | + | 0.0769021i | ||||
\(873\) | −9.80749 | −0.331933 | ||||||||
\(874\) | 1.75125 | + | 38.5182i | 0.0592368 | + | 1.30290i | ||||
\(875\) | 32.1645 | − | 70.2562i | 1.08736 | − | 2.37509i | ||||
\(876\) | 1.36141 | + | 9.46878i | 0.0459976 | + | 0.319920i | ||||
\(877\) | −3.68158 | + | 8.06153i | −0.124318 | + | 0.272219i | −0.961550 | − | 0.274629i | \(-0.911445\pi\) |
0.837232 | + | 0.546847i | \(0.184172\pi\) | |||||||
\(878\) | −12.5317 | − | 42.6790i | −0.422924 | − | 1.44035i | ||||
\(879\) | −15.8229 | − | 13.7106i | −0.533694 | − | 0.462448i | ||||
\(880\) | −12.0352 | + | 40.9880i | −0.405705 | + | 1.38170i | ||||
\(881\) | −33.2717 | + | 21.3824i | −1.12095 | + | 0.720392i | −0.963653 | − | 0.267159i | \(-0.913915\pi\) |
−0.157300 | + | 0.987551i | \(0.550279\pi\) | |||||||
\(882\) | −7.20391 | + | 15.6965i | −0.242568 | + | 0.528529i | ||||
\(883\) | 5.31841 | + | 6.13777i | 0.178979 | + | 0.206552i | 0.838149 | − | 0.545441i | \(-0.183638\pi\) |
−0.659170 | + | 0.751994i | \(0.729092\pi\) | |||||||
\(884\) | 9.68933 | − | 15.0769i | 0.325887 | − | 0.507091i | ||||
\(885\) | −4.25640 | + | 29.6039i | −0.143077 | + | 0.995124i | ||||
\(886\) | 11.0287 | − | 76.7063i | 0.370516 | − | 2.57700i | ||||
\(887\) | −16.4140 | + | 25.5407i | −0.551128 | + | 0.857573i | −0.999339 | − | 0.0363555i | \(-0.988425\pi\) |
0.448210 | + | 0.893928i | \(0.352062\pi\) | |||||||
\(888\) | 25.6111 | + | 29.5568i | 0.859453 | + | 0.991862i | ||||
\(889\) | −51.1248 | − | 0.0478569i | −1.71467 | − | 0.00160507i | ||||
\(890\) | 122.923 | − | 78.9977i | 4.12038 | − | 2.64801i | ||||
\(891\) | −0.642871 | + | 2.18942i | −0.0215370 | + | 0.0733482i | ||||
\(892\) | −62.4719 | − | 54.1322i | −2.09171 | − | 1.81248i | ||||
\(893\) | −6.50313 | − | 22.1476i | −0.217619 | − | 0.741142i | ||||
\(894\) | 13.9622 | − | 30.5730i | 0.466966 | − | 1.02251i | ||||
\(895\) | −7.09321 | − | 49.3344i | −0.237100 | − | 1.64907i | ||||
\(896\) | −20.6634 | + | 45.1347i | −0.690316 | + | 1.50784i | ||||
\(897\) | 4.12570 | − | 0.785901i | 0.137753 | − | 0.0262405i | ||||
\(898\) | −74.5688 | −2.48839 | ||||||||
\(899\) | −6.10396 | + | 0.877617i | −0.203578 | + | 0.0292702i | ||||
\(900\) | −20.4920 | + | 44.8713i | −0.683068 | + | 1.49571i | ||||
\(901\) | 11.1184 | + | 37.8657i | 0.370407 | + | 1.26149i | ||||
\(902\) | 9.62637 | − | 11.1094i | 0.320523 | − | 0.369903i | ||||
\(903\) | −13.7531 | + | 15.8420i | −0.457675 | + | 0.527187i | ||||
\(904\) | 38.2721 | + | 59.5525i | 1.27291 | + | 1.98069i | ||||
\(905\) | −6.28129 | − | 13.7541i | −0.208797 | − | 0.457202i | ||||
\(906\) | 10.7021 | − | 9.27346i | 0.355555 | − | 0.308090i | ||||
\(907\) | −3.10155 | + | 4.82610i | −0.102985 | + | 0.160248i | −0.888922 | − | 0.458059i | \(-0.848545\pi\) |
0.785937 | + | 0.618307i | \(0.212181\pi\) | |||||||
\(908\) | −1.63808 | + | 11.3931i | −0.0543617 | + | 0.378094i | ||||
\(909\) | −7.16424 | − | 1.03006i | −0.237623 | − | 0.0341650i | ||||
\(910\) | 12.7501 | + | 19.8804i | 0.422662 | + | 0.659030i | ||||
\(911\) | −13.9396 | + | 12.0787i | −0.461840 | + | 0.400186i | −0.854462 | − | 0.519513i | \(-0.826113\pi\) |
0.392623 | + | 0.919700i | \(0.371568\pi\) | |||||||
\(912\) | 13.4316 | − | 6.13403i | 0.444766 | − | 0.203118i | ||||
\(913\) | −3.55423 | − | 5.53049i | −0.117628 | − | 0.183032i | ||||
\(914\) | −24.9753 | + | 85.0580i | −0.826109 | + | 2.81347i | ||||
\(915\) | 3.77886 | + | 3.27440i | 0.124925 | + | 0.108248i | ||||
\(916\) | −109.319 | + | 32.0990i | −3.61201 | + | 1.06058i | ||||
\(917\) | −30.1133 | + | 26.0440i | −0.994427 | + | 0.860048i | ||||
\(918\) | −12.2277 | + | 1.75808i | −0.403574 | + | 0.0580252i | ||||
\(919\) | − | 10.5528i | − | 0.348104i | −0.984736 | − | 0.174052i | \(-0.944314\pi\) | ||
0.984736 | − | 0.174052i | \(-0.0556861\pi\) | |||||||
\(920\) | −80.0702 | − | 63.2490i | −2.63984 | − | 2.08526i | ||||
\(921\) | −6.30698 | −0.207822 | ||||||||
\(922\) | 38.7946 | − | 5.57782i | 1.27763 | − | 0.183696i | ||||
\(923\) | −10.4425 | − | 4.76891i | −0.343718 | − | 0.156971i | ||||
\(924\) | 3.53459 | − | 24.4213i | 0.116279 | − | 0.803402i | ||||
\(925\) | 69.2680 | + | 60.0211i | 2.27752 | + | 1.97348i | ||||
\(926\) | −4.47066 | − | 1.31270i | −0.146915 | − | 0.0431381i | ||||
\(927\) | −11.9367 | + | 7.67125i | −0.392052 | + | 0.251957i | ||||
\(928\) | 0.320969 | + | 0.702825i | 0.0105363 | + | 0.0230714i | ||||
\(929\) | −12.2399 | + | 10.6059i | −0.401578 | + | 0.347969i | −0.832114 | − | 0.554604i | \(-0.812870\pi\) |
0.430537 | + | 0.902573i | \(0.358324\pi\) | |||||||
\(930\) | −60.2415 | − | 38.7148i | −1.97540 | − | 1.26951i | ||||
\(931\) | 19.2125 | − | 12.2964i | 0.629666 | − | 0.402998i | ||||
\(932\) | −11.7025 | + | 81.3925i | −0.383327 | + | 2.66610i | ||||
\(933\) | −2.60771 | − | 1.67588i | −0.0853727 | − | 0.0548657i | ||||
\(934\) | −21.2451 | − | 24.5181i | −0.695160 | − | 0.802257i | ||||
\(935\) | −42.9370 | + | 19.6087i | −1.40419 | + | 0.641272i | ||||
\(936\) | −2.43824 | − | 3.79397i | −0.0796963 | − | 0.124010i | ||||
\(937\) | 27.0353 | + | 7.93828i | 0.883205 | + | 0.259332i | 0.691722 | − | 0.722164i | \(-0.256852\pi\) |
0.191483 | + | 0.981496i | \(0.438670\pi\) | |||||||
\(938\) | −62.2107 | + | 28.3403i | −2.03125 | + | 0.925344i | ||||
\(939\) | 0.309339 | + | 1.05351i | 0.0100949 | + | 0.0343800i | ||||
\(940\) | 108.805 | + | 49.6897i | 3.54884 | + | 1.62070i | ||||
\(941\) | 0.178450 | + | 1.24115i | 0.00581732 | + | 0.0404603i | 0.992523 | − | 0.122055i | \(-0.0389484\pi\) |
−0.986706 | + | 0.162515i | \(0.948039\pi\) | |||||||
\(942\) | 29.3107i | 0.954994i | ||||||||
\(943\) | 5.71387 | + | 11.1425i | 0.186069 | + | 0.362851i | ||||
\(944\) | 32.8030i | 1.06765i | ||||||||
\(945\) | 3.08938 | − | 10.4851i | 0.100498 | − | 0.341082i | ||||
\(946\) | 18.5445 | − | 40.6068i | 0.602934 | − | 1.32024i | ||||
\(947\) | 41.3568 | − | 12.1435i | 1.34392 | − | 0.394610i | 0.470851 | − | 0.882213i | \(-0.343947\pi\) |
0.873065 | + | 0.487603i | \(0.162129\pi\) | |||||||
\(948\) | 27.2496 | − | 31.4477i | 0.885027 | − | 1.02138i | ||||
\(949\) | −1.96661 | − | 0.577449i | −0.0638389 | − | 0.0187448i | ||||
\(950\) | 81.6292 | − | 52.4599i | 2.64840 | − | 1.70202i | ||||
\(951\) | 10.9941 | − | 5.02083i | 0.356508 | − | 0.162812i | ||||
\(952\) | 65.4756 | − | 19.1588i | 2.12208 | − | 0.620941i | ||||
\(953\) | 19.1457 | − | 29.7913i | 0.620191 | − | 0.965035i | −0.379023 | − | 0.925387i | \(-0.623740\pi\) |
0.999214 | − | 0.0396482i | \(-0.0126237\pi\) | |||||||
\(954\) | 19.2485 | + | 2.76751i | 0.623193 | + | 0.0896016i | ||||
\(955\) | −103.938 | − | 14.9440i | −3.36336 | − | 0.483578i | ||||
\(956\) | 6.39056 | + | 4.10696i | 0.206685 | + | 0.132829i | ||||
\(957\) | 1.31171 | + | 1.51379i | 0.0424014 | + | 0.0489338i | ||||
\(958\) | 0.149205 | + | 0.326714i | 0.00482060 | + | 0.0105557i | ||||
\(959\) | 4.87978 | − | 0.696945i | 0.157576 | − | 0.0225055i | ||||
\(960\) | 8.02086 | − | 27.3166i | 0.258872 | − | 0.881638i | ||||
\(961\) | 12.0182 | − | 13.8698i | 0.387684 | − | 0.447412i | ||||
\(962\) | −15.7440 | + | 4.62285i | −0.507606 | + | 0.149047i | ||||
\(963\) | −2.08946 | − | 0.954227i | −0.0673321 | − | 0.0307495i | ||||
\(964\) | 13.8799 | + | 96.5366i | 0.447040 | + | 3.10923i | ||||
\(965\) | −4.94947 | −0.159329 | ||||||||
\(966\) | 27.0629 | + | 15.7369i | 0.870735 | + | 0.506327i | ||||
\(967\) | −52.9624 | −1.70316 | −0.851578 | − | 0.524228i | \(-0.824354\pi\) | ||||
−0.851578 | + | 0.524228i | \(0.824354\pi\) | |||||||
\(968\) | −4.24580 | − | 29.5302i | −0.136465 | − | 0.949137i | ||||
\(969\) | 14.8416 | + | 6.77793i | 0.476781 | + | 0.217738i | ||||
\(970\) | −95.9212 | + | 28.1650i | −3.07984 | + | 0.904324i | ||||
\(971\) | −3.52518 | + | 4.06828i | −0.113129 | + | 0.130557i | −0.809489 | − | 0.587135i | \(-0.800256\pi\) |
0.696361 | + | 0.717692i | \(0.254801\pi\) | |||||||
\(972\) | −1.15152 | + | 3.92172i | −0.0369351 | + | 0.125789i | ||||
\(973\) | −3.99032 | + | 0.569910i | −0.127924 | + | 0.0182705i | ||||
\(974\) | 5.82041 | + | 12.7449i | 0.186498 | + | 0.408374i | ||||
\(975\) | −6.92136 | − | 7.98767i | −0.221661 | − | 0.255810i | ||||
\(976\) | 4.61351 | + | 2.96492i | 0.147675 | + | 0.0949049i | ||||
\(977\) | 4.52670 | + | 0.650841i | 0.144822 | + | 0.0208223i | 0.214344 | − | 0.976758i | \(-0.431238\pi\) |
−0.0695225 | + | 0.997580i | \(0.522148\pi\) | |||||||
\(978\) | −45.4761 | − | 6.53847i | −1.45416 | − | 0.209077i | ||||
\(979\) | 17.6842 | − | 27.5172i | 0.565191 | − | 0.879454i | ||||
\(980\) | −17.0413 | + | 116.970i | −0.544366 | + | 3.73647i | ||||
\(981\) | −2.81850 | + | 1.28717i | −0.0899879 | + | 0.0410961i | ||||
\(982\) | −7.32343 | + | 4.70648i | −0.233700 | + | 0.150190i | ||||
\(983\) | 42.1785 | + | 12.3847i | 1.34528 | + | 0.395011i | 0.873552 | − | 0.486731i | \(-0.161811\pi\) |
0.471732 | + | 0.881742i | \(0.343629\pi\) | |||||||
\(984\) | 8.80557 | − | 10.1622i | 0.280711 | − | 0.323958i | ||||
\(985\) | −30.4374 | + | 8.93723i | −0.969817 | + | 0.284764i | ||||
\(986\) | −4.50475 | + | 9.86403i | −0.143461 | + | 0.314135i | ||||
\(987\) | −17.9770 | − | 5.29682i | −0.572215 | − | 0.168600i | ||||
\(988\) | 11.6640i | 0.371081i | ||||||||
\(989\) | 26.1823 | + | 27.5786i | 0.832550 | + | 0.876949i | ||||
\(990\) | 23.2596i | 0.739237i | ||||||||
\(991\) | −6.64655 | − | 46.2277i | −0.211135 | − | 1.46847i | −0.769377 | − | 0.638795i | \(-0.779433\pi\) |
0.558242 | − | 0.829678i | \(-0.311476\pi\) | |||||||
\(992\) | −5.62471 | − | 2.56872i | −0.178585 | − | 0.0815569i | ||||
\(993\) | −2.27224 | − | 7.73855i | −0.0721074 | − | 0.245575i | ||||
\(994\) | −35.4744 | − | 77.8709i | −1.12518 | − | 2.46992i | ||||
\(995\) | 68.4377 | + | 20.0951i | 2.16962 | + | 0.637059i | ||||
\(996\) | −6.36640 | − | 9.90631i | −0.201727 | − | 0.313893i | ||||
\(997\) | −23.0298 | + | 10.5174i | −0.729362 | + | 0.333089i | −0.745250 | − | 0.666785i | \(-0.767670\pi\) |
0.0158876 | + | 0.999874i | \(0.494943\pi\) | |||||||
\(998\) | −7.37340 | − | 8.50936i | −0.233401 | − | 0.269359i | ||||
\(999\) | 6.38871 | + | 4.10578i | 0.202130 | + | 0.129901i |
(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 | 483.2.r.a.181.3 | ✓ | 320 | |
7.6 | odd | 2 | inner | 483.2.r.a.181.4 | yes | 320 | |
23.15 | odd | 22 | inner | 483.2.r.a.475.4 | yes | 320 | |
161.153 | even | 22 | inner | 483.2.r.a.475.3 | yes | 320 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.r.a.181.3 | ✓ | 320 | 1.1 | even | 1 | trivial | |
483.2.r.a.181.4 | yes | 320 | 7.6 | odd | 2 | inner | |
483.2.r.a.475.3 | yes | 320 | 161.153 | even | 22 | inner | |
483.2.r.a.475.4 | yes | 320 | 23.15 | odd | 22 | inner |