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 | 181.4 | ||
Character | \(\chi\) | \(=\) | 483.181 |
Dual form | 483.2.r.a.475.4 |
$q$-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 | \(-0.397776\pi\) |
0.894293 | − | 0.447481i | \(-0.147679\pi\) | |||||||
\(6\) | 0.695102 | − | 2.36730i | 0.283774 | − | 0.966447i | ||||
\(7\) | −2.22709 | − | 1.42832i | −0.841759 | − | 0.539853i | ||||
\(8\) | 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 | −0.769370 | − | 0.638804i | \(-0.779430\pi\) |
0.900684 | + | 0.434475i | \(0.143066\pi\) | |||||||
\(14\) | −2.70615 | + | 5.94035i | −0.723249 | + | 1.58763i | ||||
\(15\) | 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 | −0.358737 | − | 0.933439i | \(-0.616793\pi\) |
−0.806444 | + | 0.591310i | \(0.798611\pi\) | |||||||
\(18\) | 1.61570 | − | 1.86462i | 0.380824 | − | 0.439494i | ||||
\(19\) | 3.12666 | − | 0.918069i | 0.717304 | − | 0.210620i | 0.0973419 | − | 0.995251i | \(-0.468966\pi\) |
0.619963 | + | 0.784631i | \(0.287148\pi\) | |||||||
\(20\) | −7.01488 | + | 15.3604i | −1.56857 | + | 3.43470i | ||||
\(21\) | −1.43248 | − | 2.22441i | −0.312594 | − | 0.485406i | ||||
\(22\) | − | 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 | ||||
\(28\) | 10.3787 | + | 3.03692i | 1.96140 | + | 0.573925i | ||||
\(29\) | −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 | −0.896178 | − | 0.443695i | \(-0.853667\pi\) |
−0.251549 | + | 0.967844i | \(0.580940\pi\) | |||||||
\(32\) | −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 | ||||
\(35\) | −10.4851 | + | 3.08938i | −1.77231 | + | 0.522200i | ||||
\(36\) | −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 | 0.487016 | − | 0.873393i | \(-0.338085\pi\) |
−0.795194 | + | 0.606356i | \(0.792631\pi\) | |||||||
\(42\) | −4.92931 | + | 4.27936i | −0.760609 | + | 0.660319i | ||||
\(43\) | 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 | \(-0.827191\pi\) | ||
0.856217 | − | 0.516616i | \(-0.172809\pi\) | |||||||
\(48\) | 4.48520 | − | 0.644874i | 0.647383 | − | 0.0930796i | ||||
\(49\) | 2.91982 | + | 6.36197i | 0.417117 | + | 0.908853i | ||||
\(50\) | −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 | ||||
\(56\) | 1.92644 | − | 13.4883i | 0.257431 | − | 1.80245i | ||||
\(57\) | 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 | −0.487228 | − | 0.873275i | \(-0.661992\pi\) |
0.996761 | + | 0.0804267i | \(0.0256283\pi\) | |||||||
\(60\) | −12.7619 | + | 11.0583i | −1.64756 | + | 1.42762i | ||||
\(61\) | −0.502761 | − | 1.10089i | −0.0643720 | − | 0.140955i | 0.874712 | − | 0.484644i | \(-0.161051\pi\) |
−0.939084 | + | 0.343689i | \(0.888323\pi\) | |||||||
\(62\) | 9.37075 | + | 14.5812i | 1.19009 | + | 1.85181i | ||||
\(63\) | −0.378981 | − | 2.61847i | −0.0477471 | − | 0.329896i | ||||
\(64\) | 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 | 0.911863 | − | 0.410495i | \(-0.134644\pi\) |
−0.989038 | + | 0.147660i | \(0.952826\pi\) | |||||||
\(74\) | 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 | ||||
\(77\) | −4.56631 | − | 3.94925i | −0.520379 | − | 0.450059i | ||||
\(78\) | −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 | 0.849788 | − | 0.527125i | \(-0.176730\pi\) |
−0.642697 | + | 0.766120i | \(0.722185\pi\) | |||||||
\(84\) | 8.17925 | + | 7.07397i | 0.892430 | + | 0.771833i | ||||
\(85\) | −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 | \(0.411038\pi\) |
−0.907074 | + | 0.420972i | \(0.861689\pi\) | |||||||
\(90\) | −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 | −0.329357 | − | 0.944206i | \(-0.606832\pi\) |
0.981467 | + | 0.191630i | \(0.0613774\pi\) | |||||||
\(98\) | 14.5115 | − | 9.36443i | 1.46589 | − | 0.945950i | ||||
\(99\) | 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 | −0.338784 | − | 0.940864i | \(-0.610016\pi\) |
0.883074 | + | 0.469234i | \(0.155470\pi\) | |||||||
\(102\) | −6.67878 | + | 10.3924i | −0.661297 | + | 1.02900i | ||||
\(103\) | 2.01933 | − | 14.0447i | 0.198970 | − | 1.38387i | −0.608309 | − | 0.793700i | \(-0.708152\pi\) |
0.807279 | − | 0.590170i | \(-0.200939\pi\) | |||||||
\(104\) | 4.46400 | + | 0.641826i | 0.437731 | + | 0.0629362i | ||||
\(105\) | −10.8210 | − | 1.54549i | −1.05602 | − | 0.150824i | ||||
\(106\) | 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 | ||||
\(112\) | −11.9887 | + | 0.0112224i | −1.13283 | + | 0.00106042i | ||||
\(113\) | 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 | ||||
\(119\) | 8.68446 | + | 10.0035i | 0.796103 | + | 0.917016i | ||||
\(120\) | 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 | ||||
\(126\) | −6.26157 | + | 1.84493i | −0.557825 | + | 0.164359i | ||||
\(127\) | 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 | \(0.0465151\pi\) |
−0.278534 | + | 0.960426i | \(0.589849\pi\) | |||||||
\(132\) | −8.94877 | − | 2.62760i | −0.778890 | − | 0.228703i | ||||
\(133\) | −8.27463 | − | 2.42124i | −0.717501 | − | 0.209948i | ||||
\(134\) | −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 | \(0.0205807\pi\) | ||||
−0.997911 | + | 0.0646110i | \(0.979419\pi\) | |||||||
\(140\) | 37.5623 | − | 24.1895i | 3.17459 | − | 2.04439i | ||||
\(141\) | 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 | ||||
\(147\) | 0.0131051 | + | 6.99999i | 0.00108089 | + | 0.577349i | ||||
\(148\) | 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 | ||||
\(154\) | −8.04124 | + | 12.5382i | −0.647982 | + | 1.01036i | ||||
\(155\) | −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 | −0.702922 | − | 0.711267i | \(-0.748122\pi\) |
−0.206795 | + | 0.978384i | \(0.566303\pi\) | |||||||
\(158\) | −22.8483 | − | 10.4345i | −1.81771 | − | 0.830122i | ||||
\(159\) | 1.12170 | + | 7.80162i | 0.0889569 | + | 0.618708i | ||||
\(160\) | −3.63650 | −0.287491 | ||||||||
\(161\) | −7.34738 | − | 10.3449i | −0.579055 | − | 0.815289i | ||||
\(162\) | 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 | \(-0.713425\pi\) |
0.946333 | − | 0.323194i | \(-0.104757\pi\) | |||||||
\(168\) | 7.35560 | − | 11.4691i | 0.567497 | − | 0.884862i | ||||
\(169\) | 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 | 0.920693 | − | 0.390288i | \(-0.127625\pi\) |
0.773441 | + | 0.633868i | \(0.218534\pi\) | |||||||
\(174\) | −1.17090 | + | 1.82196i | −0.0887660 | + | 0.138123i | ||||
\(175\) | −13.2376 | + | 29.0582i | −1.00067 | + | 2.19659i | ||||
\(176\) | 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 | −0.844675 | − | 0.535280i | \(-0.820206\pi\) |
0.957682 | + | 0.287829i | \(0.0929334\pi\) | |||||||
\(182\) | 3.09511 | + | 4.80618i | 0.229425 | + | 0.356258i | ||||
\(183\) | − | 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 | ||||
\(189\) | 0.743018 | − | 2.53928i | 0.0540466 | − | 0.184705i | ||||
\(190\) | −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 | ||||
\(196\) | −18.7767 | − | 21.5876i | −1.34119 | − | 1.54197i | ||||
\(197\) | 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 | \(0.0732388\pi\) |
−0.465246 | + | 0.885182i | \(0.654034\pi\) | |||||||
\(200\) | 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 | ||||
\(203\) | 1.52254 | + | 1.75378i | 0.106861 | + | 0.123091i | ||||
\(204\) | 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 | ||||
\(210\) | 0.0252451 | + | 26.9689i | 0.00174208 | + | 1.86103i | ||||
\(211\) | −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 | ||||
\(217\) | 18.4000 | + | 2.62794i | 1.24907 | + | 0.178396i | ||||
\(218\) | 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 | \(-0.945030\pi\) |
0.252928 | − | 0.967485i | \(-0.418606\pi\) | |||||||
\(224\) | 0.333578 | + | 2.30477i | 0.0222881 | + | 0.153994i | ||||
\(225\) | 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 | −0.944474 | − | 0.328586i | \(-0.893428\pi\) |
0.866828 | + | 0.498608i | \(0.166155\pi\) | |||||||
\(228\) | −13.1835 | + | 1.89550i | −0.873097 | + | 0.125532i | ||||
\(229\) | −27.8753 | −1.84205 | −0.921026 | − | 0.389501i | \(-0.872647\pi\) | ||||
−0.921026 | + | 0.389501i | \(0.872647\pi\) | |||||||
\(230\) | −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 | ||||
\(238\) | 21.3804 | − | 24.7210i | 1.38589 | − | 1.60243i | ||||
\(239\) | −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 | \(0.324467\pi\) |
−0.742673 | + | 0.669654i | \(0.766442\pi\) | |||||||
\(242\) | −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 | ||||
\(245\) | 27.7639 | + | 8.09579i | 1.77377 | + | 0.517221i | ||||
\(246\) | −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 | \(0.288981\pi\) |
−0.368447 | + | 0.929649i | \(0.620110\pi\) | |||||||
\(252\) | 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 | 0.948939 | − | 0.315460i | \(-0.102159\pi\) |
−0.968849 | + | 0.247654i | \(0.920341\pi\) | |||||||
\(258\) | 12.8114 | − | 14.7851i | 0.797600 | − | 0.920480i | ||||
\(259\) | 19.8854 | − | 2.87809i | 1.23562 | − | 0.178836i | ||||
\(260\) | 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 | ||||
\(266\) | −3.00755 | + | 21.0579i | −0.184405 | + | 1.29114i | ||||
\(267\) | −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 | 0.734132 | − | 0.679007i | \(-0.237589\pi\) |
−0.922616 | + | 0.385720i | \(0.873953\pi\) | |||||||
\(270\) | 2.87178 | − | 9.78040i | 0.174771 | − | 0.595216i | ||||
\(271\) | −14.0333 | − | 12.1599i | −0.852459 | − | 0.738660i | 0.114546 | − | 0.993418i | \(-0.463459\pi\) |
−0.967005 | + | 0.254758i | \(0.918004\pi\) | |||||||
\(272\) | −21.7692 | + | 6.39202i | −1.31995 | + | 0.387573i | ||||
\(273\) | −2.31698 | + | 0.00216888i | −0.140230 | + | 0.000131267i | ||||
\(274\) | 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 | ||||
\(280\) | −36.9031 | − | 42.5080i | −2.20538 | − | 2.54034i | ||||
\(281\) | 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 | −0.980277 | − | 0.197629i | \(-0.936676\pi\) |
−0.227452 | + | 0.973789i | \(0.573040\pi\) | |||||||
\(284\) | −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 | ||||
\(287\) | 1.95247 | + | 6.62654i | 0.115250 | + | 0.391152i | ||||
\(288\) | 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 | −0.363891 | − | 0.931442i | \(-0.618552\pi\) |
−0.809700 | + | 0.586844i | \(0.800370\pi\) | |||||||
\(294\) | 17.0903 | − | 2.48988i | 0.996725 | − | 0.145213i | ||||
\(295\) | −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 | ||||||||
\(301\) | −11.3586 | − | 17.6380i | −0.654698 | − | 1.01664i | ||||
\(302\) | −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 | −0.572346 | − | 0.820012i | \(-0.693967\pi\) |
0.244917 | + | 0.969544i | \(0.421239\pi\) | |||||||
\(308\) | 22.4554 | + | 10.2297i | 1.27952 | + | 0.582889i | ||||
\(309\) | 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 | 0.0547721 | − | 0.998499i | \(-0.482557\pi\) |
−0.228756 | + | 0.973484i | \(0.573466\pi\) | |||||||
\(312\) | 3.79397 | + | 2.43824i | 0.214791 | + | 0.138038i | ||||
\(313\) | 0.719029 | + | 0.829803i | 0.0406419 | + | 0.0469033i | 0.775707 | − | 0.631094i | \(-0.217394\pi\) |
−0.735065 | + | 0.677997i | \(0.762848\pi\) | |||||||
\(314\) | 12.1761 | + | 26.6619i | 0.687137 | + | 1.50462i | ||||
\(315\) | −9.20110 | − | 5.90103i | −0.518423 | − | 0.332485i | ||||
\(316\) | −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 | ||||||||
\(322\) | −22.6836 | + | 21.5756i | −1.26411 | + | 1.20236i | ||||
\(323\) | −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 | ||||
\(329\) | −10.1175 | + | 15.7755i | −0.557794 | + | 0.869733i | ||||
\(330\) | −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 | ||||
\(336\) | −10.9100 | − | 4.97010i | −0.595190 | − | 0.271141i | ||||
\(337\) | −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 | ||||
\(343\) | 2.58422 | − | 18.3391i | 0.139535 | − | 0.990217i | ||||
\(344\) | 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 | \(0.123570\pi\) |
−0.574006 | + | 0.818851i | \(0.694611\pi\) | |||||||
\(350\) | 75.6119 | + | 22.1248i | 4.04163 | + | 1.18262i | ||||
\(351\) | 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 | −0.506300 | − | 0.862358i | \(-0.668987\pi\) |
0.320171 | + | 0.947360i | \(0.396260\pi\) | |||||||
\(354\) | −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 | ||||
\(357\) | 3.74407 | + | 12.7071i | 0.198157 | + | 0.672533i | ||||
\(358\) | 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 | ||||
\(364\) | 7.15127 | − | 6.20834i | 0.374828 | − | 0.325405i | ||||
\(365\) | −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 | \(-0.281301\pi\) | ||||
0.634268 | + | 0.773113i | \(0.281301\pi\) | |||||||
\(368\) | 21.3476 | − | 4.06648i | 1.11282 | − | 0.211980i | ||||
\(369\) | − | 2.61105i | − | 0.135926i | ||||||
\(370\) | 76.6228 | − | 11.0167i | 3.98343 | − | 0.572731i | ||||
\(371\) | −0.0195205 | − | 20.8534i | −0.00101345 | − | 1.08265i | ||||
\(372\) | 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 | ||||
\(378\) | −6.46213 | − | 0.922941i | −0.332376 | − | 0.0474710i | ||||
\(379\) | −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 | 0.989116 | − | 0.147136i | \(-0.0470055\pi\) |
−0.758931 | + | 0.651171i | \(0.774278\pi\) | |||||||
\(384\) | −10.1436 | − | 15.7837i | −0.517637 | − | 0.805458i | ||||
\(385\) | −24.6852 | + | 3.57279i | −1.25807 | + | 0.182086i | ||||
\(386\) | 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 | −0.841598 | − | 0.540104i | \(-0.818385\pi\) |
1.00000 | 0.000638181i | \(0.000203139\pi\) | ||||||||
\(398\) | 35.8335 | − | 23.0288i | 1.79617 | − | 1.15433i | ||||
\(399\) | −6.52105 | − | 5.63984i | −0.326461 | − | 0.282345i | ||||
\(400\) | −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 | ||||
\(406\) | 3.74836 | − | 4.33403i | 0.186028 | − | 0.215094i | ||||
\(407\) | −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 | 0.337586 | − | 0.941295i | \(-0.390390\pi\) |
−0.883670 | + | 0.468110i | \(0.844935\pi\) | |||||||
\(410\) | 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 | −0.764331 | − | 0.644824i | \(-0.776931\pi\) |
0.747036 | + | 0.664784i | \(0.231476\pi\) | |||||||
\(420\) | 44.2166 | − | 6.39963i | 2.15755 | − | 0.312270i | ||||
\(421\) | −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 | ||||
\(427\) | −0.452733 | + | 3.16989i | −0.0219093 | + | 0.153402i | ||||
\(428\) | 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 | −0.736273 | − | 0.676685i | \(-0.763416\pi\) |
−0.253549 | + | 0.967323i | \(0.581598\pi\) | |||||||
\(434\) | −0.0429268 | − | 45.8579i | −0.00206055 | − | 2.20125i | ||||
\(435\) | −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 | −0.554320 | − | 0.832304i | \(-0.687021\pi\) |
−0.297379 | + | 0.954760i | \(0.596112\pi\) | |||||||
\(440\) | 44.1620 | + | 20.1681i | 2.10534 | + | 0.961477i | ||||
\(441\) | −2.89598 | + | 6.37286i | −0.137904 | + | 0.303469i | ||||
\(442\) | 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 | ||||
\(448\) | −17.4885 | + | 5.15287i | −0.826253 | + | 0.243450i | ||||
\(449\) | 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 | ||||
\(455\) | −2.68829 | + | 9.18728i | −0.126029 | + | 0.430706i | ||||
\(456\) | 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 | \(-0.879381\pi\) | ||
0.929059 | − | 0.369932i | \(-0.120619\pi\) | |||||||
\(462\) | −12.5231 | + | 8.06470i | −0.582629 | + | 0.375204i | ||||
\(463\) | 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 | −0.770952 | − | 0.636894i | \(-0.780219\pi\) |
0.259074 | + | 0.965857i | \(0.416583\pi\) | |||||||
\(468\) | −3.25593 | + | 1.48693i | −0.150505 | + | 0.0687334i | ||||
\(469\) | −25.2147 | − | 11.4866i | −1.16430 | − | 0.530404i | ||||
\(470\) | −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 | ||||
\(476\) | −45.5772 | − | 29.2305i | −2.08903 | − | 1.33978i | ||||
\(477\) | −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 | −0.278540 | − | 0.960425i | \(-0.589850\pi\) |
0.284922 | + | 0.958551i | \(0.408032\pi\) | |||||||
\(480\) | −3.30788 | − | 1.51066i | −0.150983 | − | 0.0689517i | ||||
\(481\) | 0.946479 | + | 6.58290i | 0.0431557 | + | 0.300155i | ||||
\(482\) | 58.8724 | 2.68157 | ||||||||
\(483\) | −2.38601 | − | 12.4622i | −0.108567 | − | 0.567051i | ||||
\(484\) | 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 | ||||
\(490\) | 10.0224 | − | 70.6457i | 0.452764 | − | 3.19145i | ||||
\(491\) | −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 | ||||
\(497\) | 14.3782 | − | 31.5619i | 0.644949 | − | 1.41575i | ||||
\(498\) | 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 | −0.910402 | − | 0.413725i | \(-0.864227\pi\) |
0.908859 | + | 0.417103i | \(0.136955\pi\) | |||||||
\(504\) | 11.4553 | − | 7.37706i | 0.510261 | − | 0.328600i | ||||
\(505\) | − | 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 | 0.267781 | − | 0.963480i | \(-0.413710\pi\) |
−0.552790 | + | 0.833321i | \(0.686437\pi\) | |||||||
\(510\) | 14.3790 | + | 48.9703i | 0.636712 | + | 2.16844i | ||||
\(511\) | −1.73901 | + | 5.94309i | −0.0769292 | + | 0.262907i | ||||
\(512\) | 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 | ||||
\(518\) | −14.0109 | − | 47.5521i | −0.615604 | − | 2.08932i | ||||
\(519\) | 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 | \(-0.865913\pi\) |
0.288588 | − | 0.957453i | \(-0.406814\pi\) | |||||||
\(522\) | −1.82196 | + | 1.17090i | −0.0797451 | + | 0.0512491i | ||||
\(523\) | 34.1250 | + | 10.0200i | 1.49218 | + | 0.438144i | 0.923237 | − | 0.384232i | \(-0.125534\pi\) |
0.568945 | + | 0.822376i | \(0.307352\pi\) | |||||||
\(524\) | −46.4827 | − | 40.2775i | −2.03061 | − | 1.75953i | ||||
\(525\) | −24.1125 | + | 20.9332i | −1.05236 | + | 0.913599i | ||||
\(526\) | 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 | ||||
\(532\) | 35.2389 | − | 0.0329865i | 1.52780 | − | 0.00143014i | ||||
\(533\) | −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 | ||||
\(539\) | 4.52878 | + | 15.3175i | 0.195068 | + | 0.659770i | ||||
\(540\) | −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 | ||||
\(546\) | 0.818848 | + | 5.65761i | 0.0350434 | + | 0.242123i | ||||
\(547\) | 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 | ||||
\(560\) | −32.4008 | + | 37.4634i | −1.36919 | + | 1.58312i | ||||
\(561\) | −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 | \(0.175300\pi\) |
−0.965060 | + | 0.262028i | \(0.915609\pi\) | |||||||
\(564\) | −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 | ||||
\(567\) | 1.73073 | − | 2.00115i | 0.0726837 | − | 0.0840402i | ||||
\(568\) | −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 | −0.416631 | − | 0.909075i | \(-0.636789\pi\) |
−0.143639 | + | 0.989630i | \(0.545880\pi\) | |||||||
\(578\) | 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 | ||||
\(581\) | −1.09186 | − | 7.54392i | −0.0452980 | − | 0.312975i | ||||
\(582\) | −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 | −0.424112 | − | 0.905610i | \(-0.639414\pi\) |
−0.662072 | + | 0.749440i | \(0.730323\pi\) | |||||||
\(588\) | −8.11203 | − | 27.4369i | −0.334534 | − | 1.13148i | ||||
\(589\) | −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 | 0.950453 | − | 0.310869i | \(-0.100620\pi\) |
−0.172441 | + | 0.985020i | \(0.555165\pi\) | |||||||
\(594\) | 5.40182 | − | 1.58612i | 0.221639 | − | 0.0650792i | ||||
\(595\) | 54.7303 | − | 0.0512320i | 2.24372 | − | 0.00210031i | ||||
\(596\) | 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 | 0.596489 | − | 0.802621i | \(-0.296562\pi\) |
−0.215963 | + | 0.976402i | \(0.569289\pi\) | |||||||
\(602\) | −39.0859 | + | 33.9323i | −1.59302 | + | 1.38298i | ||||
\(603\) | 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 | −0.739820 | − | 0.672805i | \(-0.765089\pi\) |
0.560669 | + | 0.828040i | \(0.310544\pi\) | |||||||
\(608\) | −2.41294 | − | 1.55070i | −0.0978575 | − | 0.0628892i | ||||
\(609\) | 0.656401 | + | 2.22778i | 0.0265987 | + | 0.0902742i | ||||
\(610\) | −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 | ||||
\(616\) | 8.73130 | − | 29.8394i | 0.351794 | − | 1.20226i | ||||
\(617\) | 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 | 0.984112 | − | 0.177551i | \(-0.0568176\pi\) |
−0.994270 | + | 0.106897i | \(0.965909\pi\) | |||||||
\(620\) | − | 118.629i | − | 4.76426i | ||||||
\(621\) | −0.466211 | + | 4.77312i | −0.0187084 | + | 0.191539i | ||||
\(622\) | 7.64794i | 0.306655i | ||||||||
\(623\) | 31.8864 | − | 20.5343i | 1.27750 | − | 0.822691i | ||||
\(624\) | 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 | ||||
\(630\) | −11.1803 | + | 24.5423i | −0.445435 | + | 0.977788i | ||||
\(631\) | 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 | ||||
\(637\) | 6.06939 | + | 0.861052i | 0.240478 | + | 0.0341161i | ||||
\(638\) | −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 | \(-0.649572\pi\) | ||||
−0.452792 | + | 0.891616i | \(0.649572\pi\) | |||||||
\(644\) | 40.7267 | + | 32.1090i | 1.60486 | + | 1.26527i | ||||
\(645\) | 32.7595 | 1.28990 | ||||||||
\(646\) | 5.72897 | + | 39.8459i | 0.225403 | + | 1.56771i | ||||
\(647\) | 26.0075 | + | 11.8772i | 1.02246 | + | 0.466942i | 0.854830 | − | 0.518908i | \(-0.173661\pi\) |
0.167630 | + | 0.985850i | \(0.446389\pi\) | |||||||
\(648\) | −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 | ||||
\(651\) | 15.6455 | + | 10.0341i | 0.613197 | + | 0.393267i | ||||
\(652\) | −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 | ||||
\(658\) | 42.0784 | + | 19.1690i | 1.64039 | + | 0.747284i | ||||
\(659\) | 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 | 0.999607 | − | 0.0280256i | \(-0.00892198\pi\) |
0.825771 | + | 0.564005i | \(0.190740\pi\) | |||||||
\(662\) | 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 | ||||
\(665\) | −29.9472 | + | 19.2855i | −1.16130 | + | 0.747860i | ||||
\(666\) | 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 | ||||
\(672\) | −0.654003 | + | 2.23507i | −0.0252287 | + | 0.0862196i | ||||
\(673\) | −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 | 0.557401 | − | 0.830243i | \(-0.311799\pi\) |
−0.523663 | + | 0.851925i | \(0.675435\pi\) | |||||||
\(678\) | 4.82660 | − | 33.5698i | 0.185365 | − | 1.28924i | ||||
\(679\) | −24.8903 | + | 7.33375i | −0.955200 | + | 0.281444i | ||||
\(680\) | −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 | ||||
\(686\) | −45.6938 | + | 0.128320i | −1.74460 | + | 0.00489927i | ||||
\(687\) | −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 | \(-0.999312\pi\) | ||
0.999998 | − | 0.00216192i | \(-0.000688161\pi\) | |||||||
\(692\) | −91.0763 | + | 13.0948i | −3.46220 | + | 0.497790i | ||||
\(693\) | −0.00565131 | − | 6.03720i | −0.000214675 | − | 0.229334i | ||||
\(694\) | 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 | ||||
\(700\) | 18.4529 | − | 129.201i | 0.697455 | − | 4.88336i | ||||
\(701\) | −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 | ||||
\(707\) | −18.9522 | + | 2.74303i | −0.712772 | + | 0.103162i | ||||
\(708\) | −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 | \(-0.729053\pi\) |
0.961054 | − | 0.276361i | \(-0.0891285\pi\) | |||||||
\(720\) | 15.7491 | − | 10.1213i | 0.586933 | − | 0.377199i | ||||
\(721\) | −24.5576 | + | 28.3946i | −0.914572 | + | 1.05747i | ||||
\(722\) | 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 | 0.430778 | − | 0.902458i | \(-0.358239\pi\) |
−0.954578 | + | 0.297960i | \(0.903694\pi\) | |||||||
\(728\) | −9.02498 | − | 7.80541i | −0.334488 | − | 0.289288i | ||||
\(729\) | −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 | −0.977236 | − | 0.212157i | \(-0.931951\pi\) |
0.800291 | + | 0.599612i | \(0.204679\pi\) | |||||||
\(734\) | −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 | ||||
\(742\) | −50.9198 | + | 7.36982i | −1.86933 | + | 0.270555i | ||||
\(743\) | −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 | ||||
\(749\) | 6.01636 | + | 0.859274i | 0.219833 | + | 0.0313972i | ||||
\(750\) | −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 | ||||
\(756\) | 0.0101227 | + | 10.8139i | 0.000368160 | + | 0.393299i | ||||
\(757\) | −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 | 0.384476 | − | 0.923135i | \(-0.374382\pi\) |
0.628979 | + | 0.777422i | \(0.283473\pi\) | |||||||
\(762\) | −43.3671 | − | 19.8051i | −1.57102 | − | 0.717462i | ||||
\(763\) | 6.19052 | − | 5.37427i | 0.224112 | − | 0.194562i | ||||
\(764\) | −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 | 0.196636 | − | 0.980477i | \(-0.436998\pi\) |
−0.810187 | + | 0.586171i | \(0.800635\pi\) | |||||||
\(770\) | 17.3928 | + | 59.0300i | 0.626793 | + | 2.12729i | ||||
\(771\) | 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 | 0.911995 | − | 0.410202i | \(-0.134542\pi\) |
−0.535817 | + | 0.844334i | \(0.679996\pi\) | |||||||
\(774\) | 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 | ||||
\(777\) | 19.2840 | + | 5.64268i | 0.691809 | + | 0.202430i | ||||
\(778\) | 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 | ||||||
\(784\) | 26.7160 | + | 17.0987i | 0.954143 | + | 0.610669i | ||||
\(785\) | −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 | −0.260985 | − | 0.965343i | \(-0.584047\pi\) |
0.992659 | + | 0.120946i | \(0.0385927\pi\) | |||||||
\(788\) | −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 | ||||
\(791\) | −33.0963 | − | 15.0772i | −1.17677 | − | 0.536082i | ||||
\(792\) | −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 | 0.923187 | − | 0.384352i | \(-0.125575\pi\) |
−0.895033 | + | 0.446001i | \(0.852848\pi\) | |||||||
\(798\) | −11.4835 | + | 17.9055i | −0.406512 | + | 0.633849i | ||||
\(799\) | −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 | ||||||||
\(805\) | −52.1787 | − | 5.04722i | −1.83906 | − | 0.177891i | ||||
\(806\) | 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 | \(0.216965\pi\) |
−0.993910 | + | 0.110191i | \(0.964854\pi\) | |||||||
\(812\) | −7.99047 | − | 5.12460i | −0.280411 | − | 0.179838i | ||||
\(813\) | −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 | ||||
\(819\) | −2.10850 | − | 0.960537i | −0.0736770 | − | 0.0335639i | ||||
\(820\) | 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 | ||||
\(826\) | 25.5853 | + | 39.7297i | 0.890227 | + | 1.38237i | ||||
\(827\) | 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 | \(-0.874602\pi\) | ||
0.923400 | − | 0.383839i | \(-0.125398\pi\) | |||||||
\(830\) | −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 | ||||
\(833\) | −5.05292 | − | 34.6827i | −0.175073 | − | 1.20169i | ||||
\(834\) | 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 | \(0.219668\pi\) |
−0.919296 | + | 0.393566i | \(0.871241\pi\) | |||||||
\(840\) | −15.9098 | − | 53.9967i | −0.548940 | − | 1.86306i | ||||
\(841\) | −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 | ||||
\(847\) | 10.0481 | + | 11.5742i | 0.345256 | + | 0.397694i | ||||
\(848\) | 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 | −0.458583 | − | 0.888652i | \(-0.651643\pi\) |
−0.189645 | + | 0.981853i | \(0.560734\pi\) | |||||||
\(854\) | 7.90024 | − | 0.00739527i | 0.270341 | − | 0.000253061i | ||||
\(855\) | 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 | \(-0.579202\pi\) |
0.731160 | − | 0.682206i | \(-0.238979\pi\) | |||||||
\(858\) | −2.66552 | − | 4.14762i | −0.0909992 | − | 0.141598i | ||||
\(859\) | 8.77508 | − | 4.00745i | 0.299402 | − | 0.136732i | −0.260050 | − | 0.965595i | \(-0.583739\pi\) |
0.559452 | + | 0.828863i | \(0.311012\pi\) | |||||||
\(860\) | −101.193 | + | 87.6842i | −3.45065 | + | 2.99001i | ||||
\(861\) | −0.976737 | + | 6.83879i | −0.0332871 | + | 0.233065i | ||||
\(862\) | 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 | ||||
\(868\) | −75.1858 | + | 10.8819i | −2.55197 | + | 0.369357i | ||||
\(869\) | 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 | 0.157300 | − | 0.987551i | \(-0.449721\pi\) |
0.963653 | + | 0.267159i | \(0.0860848\pi\) | |||||||
\(882\) | 16.5802 | + | 4.83468i | 0.558284 | + | 0.162792i | ||||
\(883\) | 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 | −0.448210 | − | 0.893928i | \(-0.647938\pi\) |
0.999339 | + | 0.0363555i | \(0.0115749\pi\) | |||||||
\(888\) | −25.6111 | − | 29.5568i | −0.859453 | − | 0.991862i | ||||
\(889\) | −33.4434 | + | 38.6689i | −1.12166 | + | 1.29691i | ||||
\(890\) | 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 | ||||
\(903\) | −3.00505 | − | 20.7626i | −0.100002 | − | 0.690936i | ||||
\(904\) | 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 | ||||
\(910\) | 23.3805 | + | 3.33927i | 0.775054 | + | 0.110696i | ||||
\(911\) | −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 | ||||
\(917\) | −0.0372684 | − | 39.8133i | −0.00123071 | − | 1.31475i | ||||
\(918\) | −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 | ||||
\(924\) | 16.1766 | + | 18.6336i | 0.532172 | + | 0.612999i | ||||
\(925\) | 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 | −0.430537 | − | 0.902573i | \(-0.641676\pi\) |
0.832114 | + | 0.554604i | \(0.187130\pi\) | |||||||
\(930\) | 60.2415 | + | 38.7148i | 1.97540 | + | 1.26951i | ||||
\(931\) | 14.9700 | + | 17.2111i | 0.490622 | + | 0.564071i | ||||
\(932\) | −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 | −0.191483 | − | 0.981496i | \(-0.561330\pi\) |
−0.691722 | + | 0.722164i | \(0.743148\pi\) | |||||||
\(938\) | −19.1983 | + | 65.6107i | −0.626848 | + | 2.14227i | ||||
\(939\) | 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 | 0.986706 | − | 0.162515i | \(-0.0519607\pi\) |
−0.992523 | + | 0.122055i | \(0.961052\pi\) | |||||||
\(942\) | 29.3107i | 0.954994i | ||||||||
\(943\) | −5.71387 | − | 11.1425i | −0.186069 | − | 0.362851i | ||||
\(944\) | − | 32.8030i | − | 1.06765i | ||||||
\(945\) | −5.91824 | − | 9.19004i | −0.192520 | − | 0.298952i | ||||
\(946\) | 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 | ||||
\(952\) | −28.2820 | + | 62.0826i | −0.916623 | + | 2.01211i | ||||
\(953\) | 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 | ||||
\(959\) | 2.66110 | − | 4.14929i | 0.0859314 | − | 0.133987i | ||||
\(960\) | 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 | ||||||||
\(966\) | −29.5966 | + | 10.2027i | −0.952254 | + | 0.328268i | ||||
\(967\) | −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 | −0.696361 | − | 0.717692i | \(-0.745199\pi\) |
0.809489 | + | 0.587135i | \(0.199744\pi\) | |||||||
\(972\) | 1.15152 | − | 3.92172i | 0.0369351 | − | 0.125789i | ||||
\(973\) | 2.17605 | − | 3.39298i | 0.0697609 | − | 0.108774i | ||||
\(974\) | 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 | ||||
\(980\) | −118.205 | + | 0.221299i | −3.77591 | + | 0.00706913i | ||||
\(981\) | −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 | −0.471732 | − | 0.881742i | \(-0.656371\pi\) |
−0.873552 | + | 0.486731i | \(0.838189\pi\) | |||||||
\(984\) | 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 | ||||
\(987\) | −15.7566 | + | 10.1470i | −0.501537 | + | 0.322982i | ||||
\(988\) | 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 | ||||
\(994\) | −82.1268 | − | 24.0311i | −2.60491 | − | 0.762221i | ||||
\(995\) | 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 | −0.0158876 | − | 0.999874i | \(-0.505057\pi\) |
0.745250 | + | 0.666785i | \(0.232330\pi\) | |||||||
\(998\) | −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.181.4 | yes | 320 | |
7.6 | odd | 2 | inner | 483.2.r.a.181.3 | ✓ | 320 | |
23.15 | odd | 22 | inner | 483.2.r.a.475.3 | yes | 320 | |
161.153 | even | 22 | inner | 483.2.r.a.475.4 | yes | 320 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.r.a.181.3 | ✓ | 320 | 7.6 | odd | 2 | inner | |
483.2.r.a.181.4 | yes | 320 | 1.1 | even | 1 | trivial | |
483.2.r.a.475.3 | yes | 320 | 23.15 | odd | 22 | inner | |
483.2.r.a.475.4 | yes | 320 | 161.153 | even | 22 | inner |