Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [177,2,Mod(4,177)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(177, base_ring=CyclotomicField(58))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("177.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 177 = 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 177.e (of order \(29\), degree \(28\), 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: | \(1.41335211578\) |
Analytic rank: | \(0\) |
Dimension: | \(140\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{29})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{29}]$ |
Embedding invariants
Embedding label | 16.4 | ||
Character | \(\chi\) | \(=\) | 177.16 |
Dual form | 177.2.e.a.166.4 |
$q$-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 \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(e\left(\frac{2}{29}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.94094 | + | 0.427233i | 1.37245 | + | 0.302099i | 0.839184 | − | 0.543848i | \(-0.183033\pi\) |
0.533267 | + | 0.845947i | \(0.320964\pi\) | |||||||
\(3\) | −0.161782 | − | 0.986827i | −0.0934049 | − | 0.569745i | ||||
\(4\) | 1.76956 | + | 0.818686i | 0.884781 | + | 0.409343i | ||||
\(5\) | 0.704369 | + | 2.53691i | 0.315003 | + | 1.13454i | 0.936369 | + | 0.351018i | \(0.114164\pi\) |
−0.621365 | + | 0.783521i | \(0.713422\pi\) | |||||||
\(6\) | 0.107596 | − | 1.98449i | 0.0439258 | − | 0.810164i | ||||
\(7\) | 0.381927 | + | 0.361781i | 0.144355 | + | 0.136740i | 0.756470 | − | 0.654029i | \(-0.226922\pi\) |
−0.612115 | + | 0.790769i | \(0.709681\pi\) | |||||||
\(8\) | −0.0794753 | − | 0.0604155i | −0.0280987 | − | 0.0213601i | ||||
\(9\) | −0.947653 | + | 0.319302i | −0.315884 | + | 0.106434i | ||||
\(10\) | 0.283286 | + | 5.22491i | 0.0895830 | + | 1.65226i | ||||
\(11\) | 3.19732 | − | 3.76418i | 0.964029 | − | 1.13494i | −0.0267756 | − | 0.999641i | \(-0.508524\pi\) |
0.990805 | − | 0.135301i | \(-0.0432002\pi\) | |||||||
\(12\) | 0.521618 | − | 1.87870i | 0.150578 | − | 0.542334i | ||||
\(13\) | −4.57048 | − | 1.53997i | −1.26762 | − | 0.427112i | −0.396435 | − | 0.918063i | \(-0.629753\pi\) |
−0.871187 | + | 0.490951i | \(0.836649\pi\) | |||||||
\(14\) | 0.586733 | + | 0.865366i | 0.156811 | + | 0.231279i | ||||
\(15\) | 2.38953 | − | 1.10552i | 0.616975 | − | 0.285443i | ||||
\(16\) | −2.65295 | − | 3.12330i | −0.663238 | − | 0.780824i | ||||
\(17\) | −2.16927 | + | 2.05484i | −0.526126 | + | 0.498373i | −0.904028 | − | 0.427473i | \(-0.859404\pi\) |
0.377903 | + | 0.925845i | \(0.376645\pi\) | |||||||
\(18\) | −1.97575 | + | 0.214876i | −0.465689 | + | 0.0506468i | ||||
\(19\) | −1.05669 | + | 2.65210i | −0.242422 | + | 0.608433i | −0.998964 | − | 0.0455122i | \(-0.985508\pi\) |
0.756542 | + | 0.653945i | \(0.226887\pi\) | |||||||
\(20\) | −0.830507 | + | 5.06587i | −0.185707 | + | 1.13276i | ||||
\(21\) | 0.295226 | − | 0.435426i | 0.0644236 | − | 0.0950177i | ||||
\(22\) | 7.81398 | − | 5.94004i | 1.66595 | − | 1.26642i | ||||
\(23\) | −2.64614 | − | 0.287785i | −0.551758 | − | 0.0600073i | −0.172007 | − | 0.985096i | \(-0.555025\pi\) |
−0.379752 | + | 0.925088i | \(0.623991\pi\) | |||||||
\(24\) | −0.0467620 | + | 0.0882024i | −0.00954525 | + | 0.0180042i | ||||
\(25\) | −1.65548 | + | 0.996066i | −0.331095 | + | 0.199213i | ||||
\(26\) | −8.21308 | − | 4.94165i | −1.61072 | − | 0.969137i | ||||
\(27\) | 0.468408 | + | 0.883512i | 0.0901452 | + | 0.170032i | ||||
\(28\) | 0.379659 | + | 0.952872i | 0.0717488 | + | 0.180076i | ||||
\(29\) | 0.405480 | − | 0.0892529i | 0.0752958 | − | 0.0165738i | −0.177163 | − | 0.984182i | \(-0.556692\pi\) |
0.252459 | + | 0.967608i | \(0.418761\pi\) | |||||||
\(30\) | 5.11025 | − | 1.12485i | 0.932999 | − | 0.205369i | ||||
\(31\) | 1.91847 | + | 4.81499i | 0.344567 | + | 0.864798i | 0.994493 | + | 0.104801i | \(0.0334205\pi\) |
−0.649926 | + | 0.759997i | \(0.725200\pi\) | |||||||
\(32\) | −3.72132 | − | 7.01914i | −0.657842 | − | 1.24082i | ||||
\(33\) | −4.23186 | − | 2.54623i | −0.736672 | − | 0.443241i | ||||
\(34\) | −5.08832 | + | 3.06154i | −0.872639 | + | 0.525050i | ||||
\(35\) | −0.648787 | + | 1.22374i | −0.109665 | + | 0.206850i | ||||
\(36\) | −1.93834 | − | 0.210807i | −0.323056 | − | 0.0351345i | ||||
\(37\) | −7.39693 | + | 5.62300i | −1.21605 | + | 0.924416i | −0.998664 | − | 0.0516705i | \(-0.983545\pi\) |
−0.217384 | + | 0.976086i | \(0.569752\pi\) | |||||||
\(38\) | −3.18404 | + | 4.69610i | −0.516519 | + | 0.761809i | ||||
\(39\) | −0.780265 | + | 4.75941i | −0.124942 | + | 0.762115i | ||||
\(40\) | 0.0972887 | − | 0.244176i | 0.0153827 | − | 0.0386076i | ||||
\(41\) | 9.60209 | − | 1.04429i | 1.49960 | − | 0.163091i | 0.678804 | − | 0.734319i | \(-0.262499\pi\) |
0.820791 | + | 0.571229i | \(0.193533\pi\) | |||||||
\(42\) | 0.759044 | − | 0.719004i | 0.117123 | − | 0.110945i | ||||
\(43\) | 5.32065 | + | 6.26395i | 0.811392 | + | 0.955244i | 0.999639 | − | 0.0268776i | \(-0.00855645\pi\) |
−0.188247 | + | 0.982122i | \(0.560281\pi\) | |||||||
\(44\) | 8.73954 | − | 4.04334i | 1.31754 | − | 0.609557i | ||||
\(45\) | −1.47754 | − | 2.17920i | −0.220258 | − | 0.324856i | ||||
\(46\) | −5.01304 | − | 1.68909i | −0.739133 | − | 0.249043i | ||||
\(47\) | 1.37567 | − | 4.95471i | 0.200662 | − | 0.722718i | −0.792893 | − | 0.609361i | \(-0.791426\pi\) |
0.993554 | − | 0.113357i | \(-0.0361603\pi\) | |||||||
\(48\) | −2.65295 | + | 3.12330i | −0.382920 | + | 0.450809i | ||||
\(49\) | −0.363989 | − | 6.71339i | −0.0519985 | − | 0.959055i | ||||
\(50\) | −3.63873 | + | 1.22603i | −0.514594 | + | 0.173387i | ||||
\(51\) | 2.37872 | + | 1.80826i | 0.333088 | + | 0.253207i | ||||
\(52\) | −6.82698 | − | 6.46686i | −0.946732 | − | 0.896792i | ||||
\(53\) | 0.654848 | − | 12.0780i | 0.0899503 | − | 1.65904i | −0.510875 | − | 0.859655i | \(-0.670678\pi\) |
0.600825 | − | 0.799381i | \(-0.294839\pi\) | |||||||
\(54\) | 0.531686 | + | 1.91496i | 0.0723534 | + | 0.260593i | ||||
\(55\) | 11.8015 | + | 5.45994i | 1.59131 | + | 0.736218i | ||||
\(56\) | −0.00849660 | − | 0.0518270i | −0.00113541 | − | 0.00692567i | ||||
\(57\) | 2.78811 | + | 0.613710i | 0.369295 | + | 0.0812879i | ||||
\(58\) | 0.825143 | 0.108347 | ||||||||
\(59\) | 7.22906 | − | 2.59628i | 0.941144 | − | 0.338007i | ||||
\(60\) | 5.13350 | 0.662731 | ||||||||
\(61\) | 0.915775 | + | 0.201577i | 0.117253 | + | 0.0258093i | 0.273209 | − | 0.961955i | \(-0.411915\pi\) |
−0.155956 | + | 0.987764i | \(0.549846\pi\) | |||||||
\(62\) | 1.66651 | + | 10.1652i | 0.211646 | + | 1.29099i | ||||
\(63\) | −0.477452 | − | 0.220893i | −0.0601533 | − | 0.0278299i | ||||
\(64\) | −2.03140 | − | 7.31645i | −0.253925 | − | 0.914556i | ||||
\(65\) | 0.687467 | − | 12.6796i | 0.0852698 | − | 1.57271i | ||||
\(66\) | −7.12595 | − | 6.75006i | −0.877143 | − | 0.830874i | ||||
\(67\) | 0.381074 | + | 0.289685i | 0.0465555 | + | 0.0353906i | 0.628193 | − | 0.778057i | \(-0.283795\pi\) |
−0.581638 | + | 0.813448i | \(0.697588\pi\) | |||||||
\(68\) | −5.52093 | + | 1.86022i | −0.669511 | + | 0.225585i | ||||
\(69\) | 0.144104 | + | 2.65784i | 0.0173481 | + | 0.319966i | ||||
\(70\) | −1.78208 | + | 2.09802i | −0.212999 | + | 0.250762i | ||||
\(71\) | −0.308718 | + | 1.11190i | −0.0366381 | + | 0.131959i | −0.979607 | − | 0.200921i | \(-0.935607\pi\) |
0.942969 | + | 0.332880i | \(0.108020\pi\) | |||||||
\(72\) | 0.0946058 | + | 0.0318764i | 0.0111494 | + | 0.00375667i | ||||
\(73\) | 7.40217 | + | 10.9174i | 0.866358 | + | 1.27778i | 0.959380 | + | 0.282119i | \(0.0910372\pi\) |
−0.0930212 | + | 0.995664i | \(0.529652\pi\) | |||||||
\(74\) | −16.7593 | + | 7.75369i | −1.94823 | + | 0.901348i | ||||
\(75\) | 1.25077 | + | 1.47252i | 0.144427 | + | 0.170032i | ||||
\(76\) | −4.04112 | + | 3.82795i | −0.463548 | + | 0.439096i | ||||
\(77\) | 2.58295 | − | 0.280913i | 0.294355 | − | 0.0320130i | ||||
\(78\) | −3.54782 | + | 8.90436i | −0.401712 | + | 1.00822i | ||||
\(79\) | −0.769619 | + | 4.69447i | −0.0865888 | + | 0.528169i | 0.907540 | + | 0.419966i | \(0.137958\pi\) |
−0.994129 | + | 0.108203i | \(0.965490\pi\) | |||||||
\(80\) | 6.05485 | − | 8.93024i | 0.676953 | − | 0.998431i | ||||
\(81\) | 0.796093 | − | 0.605174i | 0.0884548 | − | 0.0672416i | ||||
\(82\) | 19.0832 | + | 2.07543i | 2.10739 | + | 0.229192i | ||||
\(83\) | −3.16555 | + | 5.97086i | −0.347464 | + | 0.655387i | −0.994226 | − | 0.107305i | \(-0.965778\pi\) |
0.646762 | + | 0.762692i | \(0.276123\pi\) | |||||||
\(84\) | 0.878898 | − | 0.528815i | 0.0958956 | − | 0.0576985i | ||||
\(85\) | −6.74091 | − | 4.05587i | −0.731155 | − | 0.439921i | ||||
\(86\) | 7.65089 | + | 14.4311i | 0.825016 | + | 1.55615i | ||||
\(87\) | −0.153677 | − | 0.385699i | −0.0164759 | − | 0.0413513i | ||||
\(88\) | −0.481523 | + | 0.105991i | −0.0513305 | + | 0.0112987i | ||||
\(89\) | −9.64095 | + | 2.12213i | −1.02194 | + | 0.224946i | −0.694169 | − | 0.719812i | \(-0.744228\pi\) |
−0.327770 | + | 0.944758i | \(0.606297\pi\) | |||||||
\(90\) | −1.93678 | − | 4.86095i | −0.204154 | − | 0.512389i | ||||
\(91\) | −1.18846 | − | 2.24167i | −0.124584 | − | 0.234991i | ||||
\(92\) | −4.44690 | − | 2.67561i | −0.463621 | − | 0.278952i | ||||
\(93\) | 4.44119 | − | 2.67217i | 0.460530 | − | 0.277092i | ||||
\(94\) | 4.78690 | − | 9.02905i | 0.493731 | − | 0.931275i | ||||
\(95\) | −7.47243 | − | 0.812675i | −0.766655 | − | 0.0833787i | ||||
\(96\) | −6.32464 | + | 4.80786i | −0.645506 | + | 0.490701i | ||||
\(97\) | 2.71786 | − | 4.00855i | 0.275957 | − | 0.407007i | −0.664303 | − | 0.747464i | \(-0.731271\pi\) |
0.940260 | + | 0.340457i | \(0.110582\pi\) | |||||||
\(98\) | 2.16170 | − | 13.1858i | 0.218364 | − | 1.33196i | ||||
\(99\) | −1.82804 | + | 4.58805i | −0.183725 | + | 0.461116i | ||||
\(100\) | −3.74493 | + | 0.407286i | −0.374493 | + | 0.0407286i | ||||
\(101\) | −3.92325 | + | 3.71630i | −0.390378 | + | 0.369785i | −0.857567 | − | 0.514372i | \(-0.828025\pi\) |
0.467190 | + | 0.884157i | \(0.345267\pi\) | |||||||
\(102\) | 3.84441 | + | 4.52599i | 0.380653 | + | 0.448139i | ||||
\(103\) | −14.6810 | + | 6.79218i | −1.44657 | + | 0.669253i | −0.976921 | − | 0.213602i | \(-0.931480\pi\) |
−0.469646 | + | 0.882855i | \(0.655618\pi\) | |||||||
\(104\) | 0.270202 | + | 0.398517i | 0.0264954 | + | 0.0390779i | ||||
\(105\) | 1.31258 | + | 0.442261i | 0.128095 | + | 0.0431602i | ||||
\(106\) | 6.43112 | − | 23.1628i | 0.624646 | − | 2.24977i | ||||
\(107\) | 6.17727 | − | 7.27244i | 0.597179 | − | 0.703053i | −0.377665 | − | 0.925942i | \(-0.623273\pi\) |
0.974844 | + | 0.222889i | \(0.0715487\pi\) | |||||||
\(108\) | 0.105558 | + | 1.94691i | 0.0101574 | + | 0.187341i | ||||
\(109\) | −8.16340 | + | 2.75057i | −0.781912 | + | 0.263457i | −0.681819 | − | 0.731521i | \(-0.738811\pi\) |
−0.100093 | + | 0.994978i | \(0.531914\pi\) | |||||||
\(110\) | 20.5732 | + | 15.6394i | 1.96158 | + | 1.49116i | ||||
\(111\) | 6.74562 | + | 6.38979i | 0.640266 | + | 0.606492i | ||||
\(112\) | 0.116714 | − | 2.15266i | 0.0110284 | − | 0.203407i | ||||
\(113\) | 4.67323 | + | 16.8315i | 0.439621 | + | 1.58337i | 0.769048 | + | 0.639191i | \(0.220731\pi\) |
−0.329427 | + | 0.944181i | \(0.606856\pi\) | |||||||
\(114\) | 5.14936 | + | 2.38235i | 0.482282 | + | 0.223127i | ||||
\(115\) | −1.13377 | − | 6.91572i | −0.105725 | − | 0.644894i | ||||
\(116\) | 0.790592 | + | 0.174022i | 0.0734046 | + | 0.0161576i | ||||
\(117\) | 4.82294 | 0.445881 | ||||||||
\(118\) | 15.1404 | − | 1.95073i | 1.39378 | − | 0.179579i | ||||
\(119\) | −1.57191 | −0.144097 | ||||||||
\(120\) | −0.256699 | − | 0.0565037i | −0.0234333 | − | 0.00515806i | ||||
\(121\) | −2.16657 | − | 13.2155i | −0.196961 | − | 1.20141i | ||||
\(122\) | 1.69134 | + | 0.782498i | 0.153127 | + | 0.0708441i | ||||
\(123\) | −2.58398 | − | 9.30665i | −0.232990 | − | 0.839153i | ||||
\(124\) | −0.547121 | + | 10.0910i | −0.0491329 | + | 0.906203i | ||||
\(125\) | 5.86429 | + | 5.55495i | 0.524518 | + | 0.496849i | ||||
\(126\) | −0.832332 | − | 0.632722i | −0.0741500 | − | 0.0563674i | ||||
\(127\) | 7.21912 | − | 2.43240i | 0.640593 | − | 0.215841i | 0.0197859 | − | 0.999804i | \(-0.493702\pi\) |
0.620807 | + | 0.783963i | \(0.286805\pi\) | |||||||
\(128\) | 0.0432246 | + | 0.797230i | 0.00382055 | + | 0.0704659i | ||||
\(129\) | 5.32065 | − | 6.26395i | 0.468457 | − | 0.551510i | ||||
\(130\) | 6.75146 | − | 24.3166i | 0.592142 | − | 2.13270i | ||||
\(131\) | 13.0912 | + | 4.41095i | 1.14379 | + | 0.385387i | 0.826496 | − | 0.562942i | \(-0.190331\pi\) |
0.317290 | + | 0.948329i | \(0.397227\pi\) | |||||||
\(132\) | −5.40398 | − | 7.97027i | −0.470356 | − | 0.693723i | ||||
\(133\) | −1.36306 | + | 0.630618i | −0.118192 | + | 0.0546815i | ||||
\(134\) | 0.615877 | + | 0.725067i | 0.0532037 | + | 0.0626362i | ||||
\(135\) | −1.91146 | + | 1.81063i | −0.164512 | + | 0.155834i | ||||
\(136\) | 0.296548 | − | 0.0322515i | 0.0254288 | − | 0.00276555i | ||||
\(137\) | −0.337516 | + | 0.847102i | −0.0288360 | + | 0.0723729i | −0.942690 | − | 0.333671i | \(-0.891713\pi\) |
0.913854 | + | 0.406044i | \(0.133092\pi\) | |||||||
\(138\) | −0.855819 | + | 5.22027i | −0.0728522 | + | 0.444379i | ||||
\(139\) | 7.80484 | − | 11.5113i | 0.661998 | − | 0.976374i | −0.337389 | − | 0.941365i | \(-0.609544\pi\) |
0.999387 | − | 0.0350088i | \(-0.0111459\pi\) | |||||||
\(140\) | −2.14993 | + | 1.63433i | −0.181702 | + | 0.138126i | ||||
\(141\) | −5.11199 | − | 0.555963i | −0.430507 | − | 0.0468205i | ||||
\(142\) | −1.07424 | + | 2.02624i | −0.0901485 | + | 0.170038i | ||||
\(143\) | −20.4100 | + | 12.2803i | −1.70677 | + | 1.02693i | ||||
\(144\) | 3.51135 | + | 2.11271i | 0.292613 | + | 0.176059i | ||||
\(145\) | 0.512034 | + | 0.965798i | 0.0425221 | + | 0.0802052i | ||||
\(146\) | 9.70289 | + | 24.3524i | 0.803017 | + | 2.01542i | ||||
\(147\) | −6.56606 | + | 1.44530i | −0.541560 | + | 0.119206i | ||||
\(148\) | −17.6928 | + | 3.89448i | −1.45434 | + | 0.320124i | ||||
\(149\) | −7.23228 | − | 18.1517i | −0.592491 | − | 1.48704i | −0.853179 | − | 0.521618i | \(-0.825329\pi\) |
0.260688 | − | 0.965423i | \(-0.416051\pi\) | |||||||
\(150\) | 1.79856 | + | 3.39244i | 0.146852 | + | 0.276992i | ||||
\(151\) | −11.8376 | − | 7.12247i | −0.963334 | − | 0.579619i | −0.0552793 | − | 0.998471i | \(-0.517605\pi\) |
−0.908054 | + | 0.418852i | \(0.862433\pi\) | |||||||
\(152\) | 0.244209 | − | 0.146936i | 0.0198079 | − | 0.0119180i | ||||
\(153\) | 1.39960 | − | 2.63993i | 0.113151 | − | 0.213426i | ||||
\(154\) | 5.13337 | + | 0.558287i | 0.413659 | + | 0.0449881i | ||||
\(155\) | −10.8639 | + | 8.25851i | −0.872608 | + | 0.663339i | ||||
\(156\) | −5.27719 | + | 7.78327i | −0.422513 | + | 0.623160i | ||||
\(157\) | −1.98922 | + | 12.1337i | −0.158757 | + | 0.968373i | 0.780499 | + | 0.625156i | \(0.214965\pi\) |
−0.939256 | + | 0.343217i | \(0.888483\pi\) | |||||||
\(158\) | −3.49941 | + | 8.78286i | −0.278398 | + | 0.698727i | ||||
\(159\) | −12.0248 | + | 1.30778i | −0.953628 | + | 0.103713i | ||||
\(160\) | 15.1857 | − | 14.3847i | 1.20054 | − | 1.13721i | ||||
\(161\) | −0.906518 | − | 1.06724i | −0.0714436 | − | 0.0841100i | ||||
\(162\) | 1.80372 | − | 0.834489i | 0.141713 | − | 0.0655636i | ||||
\(163\) | −5.54756 | − | 8.18204i | −0.434519 | − | 0.640867i | 0.545886 | − | 0.837859i | \(-0.316193\pi\) |
−0.980405 | + | 0.196992i | \(0.936883\pi\) | |||||||
\(164\) | 17.8464 | + | 6.01317i | 1.39357 | + | 0.469549i | ||||
\(165\) | 3.47875 | − | 12.5293i | 0.270820 | − | 0.975406i | ||||
\(166\) | −8.69509 | + | 10.2366i | −0.674870 | + | 0.794518i | ||||
\(167\) | −0.559676 | − | 10.3226i | −0.0433090 | − | 0.798788i | −0.936834 | − | 0.349774i | \(-0.886258\pi\) |
0.893525 | − | 0.449013i | \(-0.148224\pi\) | |||||||
\(168\) | −0.0497696 | + | 0.0167693i | −0.00383981 | + | 0.00129378i | ||||
\(169\) | 8.16852 | + | 6.20955i | 0.628348 | + | 0.477658i | ||||
\(170\) | −11.3509 | − | 10.7521i | −0.870574 | − | 0.824651i | ||||
\(171\) | 0.154559 | − | 2.85067i | 0.0118194 | − | 0.217996i | ||||
\(172\) | 4.28700 | + | 15.4404i | 0.326881 | + | 1.17732i | ||||
\(173\) | −2.97884 | − | 1.37816i | −0.226477 | − | 0.104779i | 0.303369 | − | 0.952873i | \(-0.401888\pi\) |
−0.529846 | + | 0.848094i | \(0.677750\pi\) | |||||||
\(174\) | −0.133493 | − | 0.814273i | −0.0101201 | − | 0.0617299i | ||||
\(175\) | −0.992629 | − | 0.218494i | −0.0750357 | − | 0.0165166i | ||||
\(176\) | −20.2390 | −1.52557 | ||||||||
\(177\) | −3.73161 | − | 6.71380i | −0.280485 | − | 0.504640i | ||||
\(178\) | −19.6191 | −1.47052 | ||||||||
\(179\) | 15.1402 | + | 3.33260i | 1.13163 | + | 0.249091i | 0.741031 | − | 0.671471i | \(-0.234337\pi\) |
0.390599 | + | 0.920561i | \(0.372268\pi\) | |||||||
\(180\) | −0.830507 | − | 5.06587i | −0.0619023 | − | 0.377588i | ||||
\(181\) | −23.3148 | − | 10.7866i | −1.73297 | − | 0.801758i | −0.991397 | − | 0.130889i | \(-0.958217\pi\) |
−0.741575 | − | 0.670870i | \(-0.765921\pi\) | |||||||
\(182\) | −1.34901 | − | 4.85869i | −0.0999951 | − | 0.360150i | ||||
\(183\) | 0.0507660 | − | 0.936323i | 0.00375273 | − | 0.0692150i | ||||
\(184\) | 0.192916 | + | 0.182740i | 0.0142220 | + | 0.0134717i | ||||
\(185\) | −19.4752 | − | 14.8047i | −1.43185 | − | 1.08846i | ||||
\(186\) | 9.76171 | − | 3.28910i | 0.715763 | − | 0.241169i | ||||
\(187\) | 0.798937 | + | 14.7355i | 0.0584241 | + | 1.07757i | ||||
\(188\) | 6.49068 | − | 7.64142i | 0.473381 | − | 0.557307i | ||||
\(189\) | −0.140740 | + | 0.506899i | −0.0102373 | + | 0.0368715i | ||||
\(190\) | −14.1563 | − | 4.76982i | −1.02701 | − | 0.346039i | ||||
\(191\) | 10.9613 | + | 16.1667i | 0.793130 | + | 1.16978i | 0.982204 | + | 0.187816i | \(0.0601410\pi\) |
−0.189074 | + | 0.981963i | \(0.560549\pi\) | |||||||
\(192\) | −6.89142 | + | 3.18831i | −0.497346 | + | 0.230097i | ||||
\(193\) | −12.7631 | − | 15.0259i | −0.918709 | − | 1.08159i | −0.996414 | − | 0.0846116i | \(-0.973035\pi\) |
0.0777048 | − | 0.996976i | \(-0.475241\pi\) | |||||||
\(194\) | 6.98779 | − | 6.61919i | 0.501694 | − | 0.475230i | ||||
\(195\) | −12.6238 | + | 1.37292i | −0.904007 | + | 0.0983166i | ||||
\(196\) | 4.85206 | − | 12.1777i | 0.346575 | − | 0.869839i | ||||
\(197\) | 3.94563 | − | 24.0673i | 0.281114 | − | 1.71472i | −0.348073 | − | 0.937467i | \(-0.613164\pi\) |
0.629187 | − | 0.777254i | \(-0.283388\pi\) | |||||||
\(198\) | −5.50828 | + | 8.12411i | −0.391457 | + | 0.577355i | ||||
\(199\) | −6.38398 | + | 4.85298i | −0.452548 | + | 0.344018i | −0.806489 | − | 0.591250i | \(-0.798635\pi\) |
0.353940 | + | 0.935268i | \(0.384842\pi\) | |||||||
\(200\) | 0.191747 | + | 0.0208538i | 0.0135586 | + | 0.00147458i | ||||
\(201\) | 0.224218 | − | 0.422919i | 0.0158151 | − | 0.0298304i | ||||
\(202\) | −9.20250 | + | 5.53696i | −0.647486 | + | 0.389579i | ||||
\(203\) | 0.187154 | + | 0.112607i | 0.0131356 | + | 0.00790345i | ||||
\(204\) | 2.72890 | + | 5.14725i | 0.191061 | + | 0.360380i | ||||
\(205\) | 9.41268 | + | 23.6241i | 0.657410 | + | 1.64998i | ||||
\(206\) | −31.3968 | + | 6.91097i | −2.18752 | + | 0.481510i | ||||
\(207\) | 2.59951 | − | 0.572196i | 0.180679 | − | 0.0397704i | ||||
\(208\) | 7.31546 | + | 18.3604i | 0.507236 | + | 1.27307i | ||||
\(209\) | 6.60438 | + | 12.4572i | 0.456835 | + | 0.861682i | ||||
\(210\) | 2.35869 | + | 1.41918i | 0.162765 | + | 0.0979326i | ||||
\(211\) | 4.63521 | − | 2.78891i | 0.319101 | − | 0.191997i | −0.346987 | − | 0.937870i | \(-0.612795\pi\) |
0.666088 | + | 0.745873i | \(0.267968\pi\) | |||||||
\(212\) | 11.0469 | − | 20.8366i | 0.758701 | − | 1.43106i | ||||
\(213\) | 1.14720 | + | 0.124765i | 0.0786048 | + | 0.00854879i | ||||
\(214\) | 15.0967 | − | 11.4762i | 1.03199 | − | 0.784499i | ||||
\(215\) | −12.1434 | + | 17.9101i | −0.828171 | + | 1.22146i | ||||
\(216\) | 0.0161510 | − | 0.0985165i | 0.00109893 | − | 0.00670320i | ||||
\(217\) | −1.00926 | + | 2.53304i | −0.0685128 | + | 0.171954i | ||||
\(218\) | −17.0198 | + | 1.85101i | −1.15273 | + | 0.125366i | ||||
\(219\) | 9.57602 | − | 9.07089i | 0.647088 | − | 0.612954i | ||||
\(220\) | 16.4134 | + | 19.3234i | 1.10659 | + | 1.30278i | ||||
\(221\) | 13.0790 | − | 6.05099i | 0.879789 | − | 0.407034i | ||||
\(222\) | 10.3629 | + | 15.2841i | 0.695512 | + | 1.02580i | ||||
\(223\) | 20.4052 | + | 6.87530i | 1.36643 | + | 0.460404i | 0.904486 | − | 0.426504i | \(-0.140255\pi\) |
0.461945 | + | 0.886908i | \(0.347152\pi\) | |||||||
\(224\) | 1.11812 | − | 4.02710i | 0.0747075 | − | 0.269072i | ||||
\(225\) | 1.25077 | − | 1.47252i | 0.0833847 | − | 0.0981681i | ||||
\(226\) | 1.87950 | + | 34.6654i | 0.125023 | + | 2.30591i | ||||
\(227\) | −13.0650 | + | 4.40210i | −0.867152 | + | 0.292178i | −0.717498 | − | 0.696561i | \(-0.754713\pi\) |
−0.149655 | + | 0.988738i | \(0.547816\pi\) | |||||||
\(228\) | 4.43130 | + | 3.36859i | 0.293470 | + | 0.223090i | ||||
\(229\) | −13.2488 | − | 12.5499i | −0.875506 | − | 0.829324i | 0.110869 | − | 0.993835i | \(-0.464637\pi\) |
−0.986375 | + | 0.164511i | \(0.947395\pi\) | |||||||
\(230\) | 0.754035 | − | 13.9074i | 0.0497196 | − | 0.917024i | ||||
\(231\) | −0.695088 | − | 2.50348i | −0.0457334 | − | 0.164717i | ||||
\(232\) | −0.0376179 | − | 0.0174039i | −0.00246974 | − | 0.00114262i | ||||
\(233\) | −0.618270 | − | 3.77128i | −0.0405042 | − | 0.247065i | 0.958812 | − | 0.284042i | \(-0.0916755\pi\) |
−0.999316 | + | 0.0369770i | \(0.988227\pi\) | |||||||
\(234\) | 9.36103 | + | 2.06052i | 0.611950 | + | 0.134700i | ||||
\(235\) | 13.5386 | 0.883161 | ||||||||
\(236\) | 14.9178 | + | 1.32405i | 0.971067 | + | 0.0861884i | ||||
\(237\) | 4.75713 | 0.309009 | ||||||||
\(238\) | −3.05098 | − | 0.671570i | −0.197765 | − | 0.0435314i | ||||
\(239\) | −3.87718 | − | 23.6498i | −0.250794 | − | 1.52978i | −0.748913 | − | 0.662668i | \(-0.769424\pi\) |
0.498119 | − | 0.867108i | \(-0.334024\pi\) | |||||||
\(240\) | −9.79216 | − | 4.53034i | −0.632082 | − | 0.292432i | ||||
\(241\) | −3.12049 | − | 11.2390i | −0.201008 | − | 0.723967i | −0.993475 | − | 0.114051i | \(-0.963617\pi\) |
0.792466 | − | 0.609915i | \(-0.208797\pi\) | |||||||
\(242\) | 1.44091 | − | 26.5761i | 0.0926254 | − | 1.70838i | ||||
\(243\) | −0.725995 | − | 0.687699i | −0.0465726 | − | 0.0441159i | ||||
\(244\) | 1.45549 | + | 1.10644i | 0.0931783 | + | 0.0708323i | ||||
\(245\) | 16.7749 | − | 5.65211i | 1.07171 | − | 0.361100i | ||||
\(246\) | −1.03924 | − | 19.1676i | −0.0662593 | − | 1.22208i | ||||
\(247\) | 8.91374 | − | 10.4941i | 0.567168 | − | 0.667722i | ||||
\(248\) | 0.138430 | − | 0.498578i | 0.00879028 | − | 0.0316597i | ||||
\(249\) | 6.40434 | + | 2.15787i | 0.405858 | + | 0.136750i | ||||
\(250\) | 9.00896 | + | 13.2872i | 0.569777 | + | 0.840358i | ||||
\(251\) | −3.79933 | + | 1.75776i | −0.239812 | + | 0.110949i | −0.536114 | − | 0.844145i | \(-0.680108\pi\) |
0.296303 | + | 0.955094i | \(0.404246\pi\) | |||||||
\(252\) | −0.664039 | − | 0.781767i | −0.0418305 | − | 0.0492467i | ||||
\(253\) | −9.54383 | + | 9.04040i | −0.600016 | + | 0.568365i | ||||
\(254\) | 15.0511 | − | 1.63690i | 0.944388 | − | 0.102708i | ||||
\(255\) | −2.91188 | + | 7.30828i | −0.182349 | + | 0.457662i | ||||
\(256\) | −2.71360 | + | 16.5522i | −0.169600 | + | 1.03451i | ||||
\(257\) | −10.5099 | + | 15.5009i | −0.655590 | + | 0.966922i | 0.344019 | + | 0.938963i | \(0.388211\pi\) |
−0.999609 | + | 0.0279598i | \(0.991099\pi\) | |||||||
\(258\) | 13.0032 | − | 9.88479i | 0.809545 | − | 0.615400i | ||||
\(259\) | −4.85939 | − | 0.528490i | −0.301948 | − | 0.0328388i | ||||
\(260\) | 11.5971 | − | 21.8745i | 0.719222 | − | 1.35660i | ||||
\(261\) | −0.355756 | + | 0.214051i | −0.0220207 | + | 0.0132494i | ||||
\(262\) | 23.5248 | + | 14.1544i | 1.45337 | + | 0.874461i | ||||
\(263\) | 0.0752590 | + | 0.141953i | 0.00464067 | + | 0.00875323i | 0.885822 | − | 0.464026i | \(-0.153596\pi\) |
−0.881181 | + | 0.472779i | \(0.843251\pi\) | |||||||
\(264\) | 0.182497 | + | 0.458032i | 0.0112319 | + | 0.0281899i | ||||
\(265\) | 31.1019 | − | 6.84605i | 1.91058 | − | 0.420550i | ||||
\(266\) | −2.91503 | + | 0.641647i | −0.178732 | + | 0.0393419i | ||||
\(267\) | 3.65391 | + | 9.17062i | 0.223616 | + | 0.561233i | ||||
\(268\) | 0.437172 | + | 0.824594i | 0.0267045 | + | 0.0503701i | ||||
\(269\) | −3.61990 | − | 2.17802i | −0.220709 | − | 0.132796i | 0.400906 | − | 0.916119i | \(-0.368696\pi\) |
−0.621615 | + | 0.783323i | \(0.713523\pi\) | |||||||
\(270\) | −4.48358 | + | 2.69768i | −0.272862 | + | 0.164175i | ||||
\(271\) | 1.80360 | − | 3.40194i | 0.109561 | − | 0.206653i | −0.822669 | − | 0.568521i | \(-0.807516\pi\) |
0.932230 | + | 0.361868i | \(0.117861\pi\) | |||||||
\(272\) | 12.1729 | + | 1.32388i | 0.738088 | + | 0.0802719i | ||||
\(273\) | −2.01987 | + | 1.53546i | −0.122248 | + | 0.0929305i | ||||
\(274\) | −1.01701 | + | 1.49998i | −0.0614397 | + | 0.0906168i | ||||
\(275\) | −1.54372 | + | 9.41625i | −0.0930896 | + | 0.567821i | ||||
\(276\) | −1.92094 | + | 4.82119i | −0.115627 | + | 0.290201i | ||||
\(277\) | 14.4628 | − | 1.57293i | 0.868988 | − | 0.0945082i | 0.337248 | − | 0.941416i | \(-0.390504\pi\) |
0.531740 | + | 0.846908i | \(0.321538\pi\) | |||||||
\(278\) | 20.0667 | − | 19.0082i | 1.20352 | − | 1.14004i | ||||
\(279\) | −3.35548 | − | 3.95037i | −0.200887 | − | 0.236503i | ||||
\(280\) | 0.125495 | − | 0.0580604i | 0.00749979 | − | 0.00346977i | ||||
\(281\) | 13.7775 | + | 20.3203i | 0.821895 | + | 1.21221i | 0.974604 | + | 0.223934i | \(0.0718900\pi\) |
−0.152709 | + | 0.988271i | \(0.548800\pi\) | |||||||
\(282\) | −9.68454 | − | 3.26310i | −0.576706 | − | 0.194315i | ||||
\(283\) | 5.00280 | − | 18.0185i | 0.297386 | − | 1.07109i | −0.652320 | − | 0.757943i | \(-0.726204\pi\) |
0.949706 | − | 0.313143i | \(-0.101382\pi\) | |||||||
\(284\) | −1.45659 | + | 1.71484i | −0.0864330 | + | 0.101757i | ||||
\(285\) | 0.406934 | + | 7.50546i | 0.0241047 | + | 0.444585i | ||||
\(286\) | −44.8611 | + | 15.1155i | −2.65269 | + | 0.893797i | ||||
\(287\) | 4.04511 | + | 3.07501i | 0.238775 | + | 0.181512i | ||||
\(288\) | 5.76774 | + | 5.46349i | 0.339867 | + | 0.321939i | ||||
\(289\) | −0.437003 | + | 8.06004i | −0.0257060 | + | 0.474120i | ||||
\(290\) | 0.581205 | + | 2.09331i | 0.0341295 | + | 0.122924i | ||||
\(291\) | −4.39545 | − | 2.03355i | −0.257666 | − | 0.119209i | ||||
\(292\) | 4.16068 | + | 25.3790i | 0.243485 | + | 1.48520i | ||||
\(293\) | −18.8645 | − | 4.15239i | −1.10208 | − | 0.242585i | −0.373555 | − | 0.927608i | \(-0.621861\pi\) |
−0.728522 | + | 0.685023i | \(0.759792\pi\) | |||||||
\(294\) | −13.3618 | −0.779276 | ||||||||
\(295\) | 11.6785 | + | 16.5107i | 0.679946 | + | 0.961291i | ||||
\(296\) | 0.927590 | 0.0539151 | ||||||||
\(297\) | 4.82335 | + | 1.06170i | 0.279879 | + | 0.0616061i | ||||
\(298\) | −6.28243 | − | 38.3211i | −0.363931 | − | 2.21988i | ||||
\(299\) | 11.6509 | + | 5.39030i | 0.673791 | + | 0.311729i | ||||
\(300\) | 1.00778 | + | 3.62971i | 0.0581844 | + | 0.209561i | ||||
\(301\) | −0.234076 | + | 4.31729i | −0.0134919 | + | 0.248844i | ||||
\(302\) | −19.9332 | − | 18.8817i | −1.14703 | − | 1.08652i | ||||
\(303\) | 4.30205 | + | 3.27033i | 0.247146 | + | 0.187876i | ||||
\(304\) | 11.0866 | − | 3.73552i | 0.635862 | − | 0.214247i | ||||
\(305\) | 0.133660 | + | 2.46522i | 0.00765337 | + | 0.141158i | ||||
\(306\) | 3.84441 | − | 4.52599i | 0.219770 | − | 0.258733i | ||||
\(307\) | 0.958309 | − | 3.45152i | 0.0546936 | − | 0.196988i | −0.931156 | − | 0.364621i | \(-0.881198\pi\) |
0.985850 | + | 0.167633i | \(0.0536123\pi\) | |||||||
\(308\) | 4.80067 | + | 1.61754i | 0.273544 | + | 0.0921676i | ||||
\(309\) | 9.07783 | + | 13.3888i | 0.516420 | + | 0.761662i | ||||
\(310\) | −24.6144 | + | 11.3878i | −1.39800 | + | 0.646786i | ||||
\(311\) | 21.8349 | + | 25.7061i | 1.23815 | + | 1.45766i | 0.842007 | + | 0.539467i | \(0.181374\pi\) |
0.396139 | + | 0.918191i | \(0.370350\pi\) | |||||||
\(312\) | 0.349554 | − | 0.331115i | 0.0197896 | − | 0.0187457i | ||||
\(313\) | −30.8920 | + | 3.35971i | −1.74612 | + | 0.189902i | −0.924771 | − | 0.380524i | \(-0.875744\pi\) |
−0.821349 | + | 0.570426i | \(0.806778\pi\) | |||||||
\(314\) | −9.04485 | + | 22.7009i | −0.510431 | + | 1.28108i | ||||
\(315\) | 0.224082 | − | 1.36684i | 0.0126256 | − | 0.0770128i | ||||
\(316\) | −5.20518 | + | 7.67707i | −0.292814 | + | 0.431869i | ||||
\(317\) | 2.82715 | − | 2.14914i | 0.158788 | − | 0.120708i | −0.522763 | − | 0.852478i | \(-0.675099\pi\) |
0.681551 | + | 0.731770i | \(0.261306\pi\) | |||||||
\(318\) | −23.8981 | − | 2.59908i | −1.34014 | − | 0.145749i | ||||
\(319\) | 0.960486 | − | 1.81167i | 0.0537769 | − | 0.101434i | ||||
\(320\) | 17.1303 | − | 10.3070i | 0.957613 | − | 0.576176i | ||||
\(321\) | −8.17601 | − | 4.91934i | −0.456340 | − | 0.274571i | ||||
\(322\) | −1.30354 | − | 2.45873i | −0.0726433 | − | 0.137020i | ||||
\(323\) | −3.15739 | − | 7.92446i | −0.175682 | − | 0.440929i | ||||
\(324\) | 1.90418 | − | 0.419142i | 0.105788 | − | 0.0232857i | ||||
\(325\) | 9.10022 | − | 2.00311i | 0.504790 | − | 0.111113i | ||||
\(326\) | −7.27184 | − | 18.2509i | −0.402750 | − | 1.01083i | ||||
\(327\) | 4.03503 | + | 7.61087i | 0.223138 | + | 0.420882i | ||||
\(328\) | −0.826220 | − | 0.497120i | −0.0456204 | − | 0.0274489i | ||||
\(329\) | 2.31792 | − | 1.39465i | 0.127791 | − | 0.0768894i | ||||
\(330\) | 12.1050 | − | 22.8324i | 0.666357 | − | 1.25688i | ||||
\(331\) | −20.6108 | − | 2.24156i | −1.13287 | − | 0.123207i | −0.477583 | − | 0.878586i | \(-0.658487\pi\) |
−0.655288 | + | 0.755379i | \(0.727453\pi\) | |||||||
\(332\) | −10.4899 | + | 7.97422i | −0.575708 | + | 0.437642i | ||||
\(333\) | 5.21429 | − | 7.69051i | 0.285741 | − | 0.421437i | ||||
\(334\) | 3.32386 | − | 20.2747i | 0.181874 | − | 1.10938i | ||||
\(335\) | −0.466486 | + | 1.17079i | −0.0254869 | + | 0.0639672i | ||||
\(336\) | −2.14318 | + | 0.233085i | −0.116920 | + | 0.0127158i | ||||
\(337\) | −16.1543 | + | 15.3022i | −0.879983 | + | 0.833564i | −0.987005 | − | 0.160692i | \(-0.948627\pi\) |
0.107021 | + | 0.994257i | \(0.465869\pi\) | |||||||
\(338\) | 13.2017 | + | 15.5422i | 0.718077 | + | 0.845385i | ||||
\(339\) | 15.8537 | − | 7.33470i | 0.861055 | − | 0.398366i | ||||
\(340\) | −8.60797 | − | 12.6958i | −0.466833 | − | 0.688527i | ||||
\(341\) | 24.2585 | + | 8.17362i | 1.31367 | + | 0.442627i | ||||
\(342\) | 1.51789 | − | 5.46695i | 0.0820781 | − | 0.295619i | ||||
\(343\) | 4.67377 | − | 5.50239i | 0.252360 | − | 0.297101i | ||||
\(344\) | −0.0444200 | − | 0.819279i | −0.00239497 | − | 0.0441726i | ||||
\(345\) | −6.64119 | + | 2.23768i | −0.357550 | + | 0.120472i | ||||
\(346\) | −5.19295 | − | 3.94758i | −0.279175 | − | 0.212223i | ||||
\(347\) | −21.3182 | − | 20.1937i | −1.14442 | − | 1.08405i | −0.995457 | − | 0.0952112i | \(-0.969647\pi\) |
−0.148964 | − | 0.988843i | \(-0.547594\pi\) | |||||||
\(348\) | 0.0438264 | − | 0.808331i | 0.00234934 | − | 0.0433311i | ||||
\(349\) | 1.81171 | + | 6.52518i | 0.0969785 | + | 0.349285i | 0.996080 | − | 0.0884549i | \(-0.0281929\pi\) |
−0.899102 | + | 0.437740i | \(0.855779\pi\) | |||||||
\(350\) | −1.83328 | − | 0.848167i | −0.0979931 | − | 0.0453365i | ||||
\(351\) | −0.780265 | − | 4.75941i | −0.0416475 | − | 0.254038i | ||||
\(352\) | −38.3196 | − | 8.43477i | −2.04244 | − | 0.449575i | ||||
\(353\) | −2.47313 | −0.131631 | −0.0658157 | − | 0.997832i | \(-0.520965\pi\) | ||||
−0.0658157 | + | 0.997832i | \(0.520965\pi\) | |||||||
\(354\) | −4.37447 | − | 14.6253i | −0.232501 | − | 0.777328i | ||||
\(355\) | −3.03824 | −0.161253 | ||||||||
\(356\) | −18.7976 | − | 4.13767i | −0.996271 | − | 0.219296i | ||||
\(357\) | 0.254306 | + | 1.55120i | 0.0134593 | + | 0.0820982i | ||||
\(358\) | 27.9623 | + | 12.9368i | 1.47786 | + | 0.683729i | ||||
\(359\) | 4.10327 | + | 14.7786i | 0.216562 | + | 0.779986i | 0.989379 | + | 0.145358i | \(0.0464332\pi\) |
−0.772817 | + | 0.634629i | \(0.781153\pi\) | |||||||
\(360\) | −0.0142301 | + | 0.262459i | −0.000749992 | + | 0.0138328i | ||||
\(361\) | 7.87689 | + | 7.46139i | 0.414573 | + | 0.392705i | ||||
\(362\) | −40.6441 | − | 30.8969i | −2.13621 | − | 1.62390i | ||||
\(363\) | −12.6909 | + | 4.27606i | −0.666099 | + | 0.224435i | ||||
\(364\) | −0.267825 | − | 4.93974i | −0.0140379 | − | 0.258913i | ||||
\(365\) | −22.4825 | + | 26.4685i | −1.17679 | + | 1.38542i | ||||
\(366\) | 0.498561 | − | 1.79566i | 0.0260602 | − | 0.0938604i | ||||
\(367\) | 22.4633 | + | 7.56877i | 1.17257 | + | 0.395087i | 0.837146 | − | 0.546979i | \(-0.184222\pi\) |
0.335429 | + | 0.942066i | \(0.391119\pi\) | |||||||
\(368\) | 6.12124 | + | 9.02815i | 0.319092 | + | 0.470625i | ||||
\(369\) | −8.76601 | + | 4.05559i | −0.456340 | + | 0.211126i | ||||
\(370\) | −31.4751 | − | 37.0554i | −1.63631 | − | 1.92642i | ||||
\(371\) | 4.61968 | − | 4.37599i | 0.239842 | − | 0.227190i | ||||
\(372\) | 10.0466 | − | 1.09264i | 0.520893 | − | 0.0566506i | ||||
\(373\) | −3.43113 | + | 8.61149i | −0.177657 | + | 0.445886i | −0.990657 | − | 0.136378i | \(-0.956454\pi\) |
0.813000 | + | 0.582264i | \(0.197833\pi\) | |||||||
\(374\) | −4.74481 | + | 28.9421i | −0.245348 | + | 1.49656i | ||||
\(375\) | 4.53303 | − | 6.68572i | 0.234085 | − | 0.345249i | ||||
\(376\) | −0.408673 | + | 0.310665i | −0.0210757 | + | 0.0160213i | ||||
\(377\) | −1.99068 | − | 0.216500i | −0.102525 | − | 0.0111503i | ||||
\(378\) | −0.489731 | + | 0.923730i | −0.0251890 | + | 0.0475116i | ||||
\(379\) | 16.2439 | − | 9.77365i | 0.834395 | − | 0.502039i | −0.0331191 | − | 0.999451i | \(-0.510544\pi\) |
0.867514 | + | 0.497413i | \(0.165716\pi\) | |||||||
\(380\) | −12.5576 | − | 7.55565i | −0.644191 | − | 0.387597i | ||||
\(381\) | −3.56828 | − | 6.73050i | −0.182809 | − | 0.344814i | ||||
\(382\) | 14.3682 | + | 36.0615i | 0.735142 | + | 1.84507i | ||||
\(383\) | 3.83709 | − | 0.844607i | 0.196066 | − | 0.0431574i | −0.115852 | − | 0.993267i | \(-0.536960\pi\) |
0.311918 | + | 0.950109i | \(0.399029\pi\) | |||||||
\(384\) | 0.779735 | − | 0.171633i | 0.0397907 | − | 0.00875859i | ||||
\(385\) | 2.53200 | + | 6.35485i | 0.129043 | + | 0.323873i | ||||
\(386\) | −18.3529 | − | 34.6172i | −0.934136 | − | 1.76197i | ||||
\(387\) | −7.04222 | − | 4.23716i | −0.357976 | − | 0.215387i | ||||
\(388\) | 8.09117 | − | 4.86830i | 0.410767 | − | 0.247150i | ||||
\(389\) | 5.25050 | − | 9.90349i | 0.266211 | − | 0.502127i | −0.713984 | − | 0.700162i | \(-0.753111\pi\) |
0.980195 | + | 0.198035i | \(0.0634560\pi\) | |||||||
\(390\) | −25.0885 | − | 2.72854i | −1.27041 | − | 0.138165i | ||||
\(391\) | 6.33155 | − | 4.81312i | 0.320200 | − | 0.243410i | ||||
\(392\) | −0.376665 | + | 0.555539i | −0.0190244 | + | 0.0280589i | ||||
\(393\) | 2.23492 | − | 13.6324i | 0.112737 | − | 0.687663i | ||||
\(394\) | 17.9405 | − | 45.0274i | 0.903831 | − | 2.26845i | ||||
\(395\) | −12.4515 | + | 1.35418i | −0.626504 | + | 0.0681364i | ||||
\(396\) | −6.99101 | + | 6.62223i | −0.351311 | + | 0.332780i | ||||
\(397\) | −8.48778 | − | 9.99259i | −0.425990 | − | 0.501514i | 0.506736 | − | 0.862101i | \(-0.330852\pi\) |
−0.932725 | + | 0.360588i | \(0.882576\pi\) | |||||||
\(398\) | −14.4643 | + | 6.69188i | −0.725028 | + | 0.335434i | ||||
\(399\) | 0.842829 | + | 1.24308i | 0.0421942 | + | 0.0622318i | ||||
\(400\) | 7.50290 | + | 2.52802i | 0.375145 | + | 0.126401i | ||||
\(401\) | 4.84323 | − | 17.4437i | 0.241860 | − | 0.871099i | −0.738561 | − | 0.674186i | \(-0.764495\pi\) |
0.980421 | − | 0.196913i | \(-0.0630917\pi\) | |||||||
\(402\) | 0.615877 | − | 0.725067i | 0.0307172 | − | 0.0361630i | ||||
\(403\) | −1.35336 | − | 24.9612i | −0.0674155 | − | 1.24341i | ||||
\(404\) | −9.98491 | + | 3.36431i | −0.496768 | + | 0.167380i | ||||
\(405\) | 2.09601 | + | 1.59335i | 0.104152 | + | 0.0791741i | ||||
\(406\) | 0.315145 | + | 0.298521i | 0.0156404 | + | 0.0148154i | ||||
\(407\) | −2.48439 | + | 45.8219i | −0.123147 | + | 2.27131i | ||||
\(408\) | −0.0798028 | − | 0.287424i | −0.00395083 | − | 0.0142296i | ||||
\(409\) | 20.7268 | + | 9.58926i | 1.02488 | + | 0.474158i | 0.858993 | − | 0.511987i | \(-0.171091\pi\) |
0.165883 | + | 0.986145i | \(0.446953\pi\) | |||||||
\(410\) | 8.17646 | + | 49.8742i | 0.403807 | + | 2.46311i | ||||
\(411\) | 0.890547 | + | 0.196024i | 0.0439275 | + | 0.00966916i | ||||
\(412\) | −31.5397 | −1.55385 | ||||||||
\(413\) | 3.70026 | + | 1.62374i | 0.182078 | + | 0.0798992i | ||||
\(414\) | 5.28995 | 0.259987 | ||||||||
\(415\) | −17.3772 | − | 3.82502i | −0.853015 | − | 0.187763i | ||||
\(416\) | 6.19889 | + | 37.8116i | 0.303926 | + | 1.85386i | ||||
\(417\) | −12.6223 | − | 5.83971i | −0.618118 | − | 0.285972i | ||||
\(418\) | 7.49658 | + | 27.0002i | 0.366670 | + | 1.32062i | ||||
\(419\) | 2.05671 | − | 37.9337i | 0.100477 | − | 1.85318i | −0.321912 | − | 0.946770i | \(-0.604326\pi\) |
0.422389 | − | 0.906415i | \(-0.361192\pi\) | |||||||
\(420\) | 1.96062 | + | 1.85720i | 0.0956686 | + | 0.0906221i | ||||
\(421\) | 13.0416 | + | 9.91394i | 0.635607 | + | 0.483176i | 0.872665 | − | 0.488320i | \(-0.162390\pi\) |
−0.237058 | + | 0.971496i | \(0.576183\pi\) | |||||||
\(422\) | 10.1882 | − | 3.43279i | 0.495952 | − | 0.167106i | ||||
\(423\) | 0.278390 | + | 5.13459i | 0.0135358 | + | 0.249653i | ||||
\(424\) | −0.781741 | + | 0.920336i | −0.0379647 | + | 0.0446955i | ||||
\(425\) | 1.54442 | − | 5.56248i | 0.0749151 | − | 0.269820i | ||||
\(426\) | 2.17334 | + | 0.732283i | 0.105299 | + | 0.0354792i | ||||
\(427\) | 0.276833 | + | 0.408298i | 0.0133969 | + | 0.0197589i | ||||
\(428\) | 16.8849 | − | 7.81179i | 0.816163 | − | 0.377597i | ||||
\(429\) | 15.4205 | + | 18.1544i | 0.744509 | + | 0.876503i | ||||
\(430\) | −31.2213 | + | 29.5744i | −1.50563 | + | 1.42620i | ||||
\(431\) | 6.40396 | − | 0.696473i | 0.308468 | − | 0.0335479i | 0.0474240 | − | 0.998875i | \(-0.484899\pi\) |
0.261044 | + | 0.965327i | \(0.415933\pi\) | |||||||
\(432\) | 1.51680 | − | 3.80689i | 0.0729773 | − | 0.183159i | ||||
\(433\) | −2.48045 | + | 15.1301i | −0.119203 | + | 0.727106i | 0.857816 | + | 0.513956i | \(0.171821\pi\) |
−0.977019 | + | 0.213150i | \(0.931628\pi\) | |||||||
\(434\) | −3.04110 | + | 4.48529i | −0.145978 | + | 0.215301i | ||||
\(435\) | 0.870237 | − | 0.661537i | 0.0417247 | − | 0.0317183i | ||||
\(436\) | −16.6975 | − | 1.81596i | −0.799665 | − | 0.0869688i | ||||
\(437\) | 3.55939 | − | 6.71372i | 0.170269 | − | 0.321161i | ||||
\(438\) | 22.4618 | − | 13.5148i | 1.07327 | − | 0.645764i | ||||
\(439\) | 14.7385 | + | 8.86788i | 0.703432 | + | 0.423241i | 0.821836 | − | 0.569725i | \(-0.192950\pi\) |
−0.118404 | + | 0.992966i | \(0.537778\pi\) | |||||||
\(440\) | −0.608059 | − | 1.14692i | −0.0289881 | − | 0.0546773i | ||||
\(441\) | 2.48853 | + | 6.24574i | 0.118501 | + | 0.297416i | ||||
\(442\) | 27.9707 | − | 6.15682i | 1.33043 | − | 0.292850i | ||||
\(443\) | −11.3801 | + | 2.50496i | −0.540687 | + | 0.119014i | −0.476913 | − | 0.878950i | \(-0.658245\pi\) |
−0.0637733 | + | 0.997964i | \(0.520313\pi\) | |||||||
\(444\) | 6.70555 | + | 16.8297i | 0.318231 | + | 0.798701i | ||||
\(445\) | −12.1744 | − | 22.9634i | −0.577124 | − | 1.08857i | ||||
\(446\) | 36.6678 | + | 22.0623i | 1.73627 | + | 1.04468i | ||||
\(447\) | −16.7425 | + | 10.0736i | −0.791892 | + | 0.476466i | ||||
\(448\) | 1.87110 | − | 3.52928i | 0.0884013 | − | 0.166743i | ||||
\(449\) | −8.20617 | − | 0.892475i | −0.387273 | − | 0.0421185i | −0.0875883 | − | 0.996157i | \(-0.527916\pi\) |
−0.299685 | + | 0.954038i | \(0.596882\pi\) | |||||||
\(450\) | 3.05678 | − | 2.32370i | 0.144098 | − | 0.109540i | ||||
\(451\) | 26.7701 | − | 39.4829i | 1.26055 | − | 1.85918i | ||||
\(452\) | −5.51012 | + | 33.6102i | −0.259174 | + | 1.58089i | ||||
\(453\) | −5.11353 | + | 12.8340i | −0.240255 | + | 0.602993i | ||||
\(454\) | −27.2390 | + | 2.96242i | −1.27839 | + | 0.139033i | ||||
\(455\) | 4.84979 | − | 4.59397i | 0.227362 | − | 0.215369i | ||||
\(456\) | −0.184508 | − | 0.217220i | −0.00864040 | − | 0.0101723i | ||||
\(457\) | −11.4899 | + | 5.31580i | −0.537476 | + | 0.248663i | −0.669797 | − | 0.742544i | \(-0.733619\pi\) |
0.132321 | + | 0.991207i | \(0.457757\pi\) | |||||||
\(458\) | −20.3534 | − | 30.0190i | −0.951051 | − | 1.40270i | ||||
\(459\) | −2.83158 | − | 0.954072i | −0.132167 | − | 0.0445323i | ||||
\(460\) | 3.65552 | − | 13.1660i | 0.170439 | − | 0.613867i | ||||
\(461\) | 7.44084 | − | 8.76004i | 0.346555 | − | 0.407996i | −0.561077 | − | 0.827764i | \(-0.689613\pi\) |
0.907631 | + | 0.419768i | \(0.137889\pi\) | |||||||
\(462\) | −0.279554 | − | 5.15606i | −0.0130060 | − | 0.239882i | ||||
\(463\) | 20.8639 | − | 7.02987i | 0.969628 | − | 0.326706i | 0.210461 | − | 0.977602i | \(-0.432503\pi\) |
0.759166 | + | 0.650897i | \(0.225607\pi\) | |||||||
\(464\) | −1.35448 | − | 1.02965i | −0.0628802 | − | 0.0478003i | ||||
\(465\) | 9.90729 | + | 9.38469i | 0.459440 | + | 0.435204i | ||||
\(466\) | 0.411191 | − | 7.58397i | 0.0190480 | − | 0.351321i | ||||
\(467\) | 4.53373 | + | 16.3290i | 0.209796 | + | 0.755617i | 0.991289 | + | 0.131703i | \(0.0420445\pi\) |
−0.781493 | + | 0.623914i | \(0.785542\pi\) | |||||||
\(468\) | 8.53449 | + | 3.94848i | 0.394507 | + | 0.182518i | ||||
\(469\) | 0.0407401 | + | 0.248504i | 0.00188120 | + | 0.0114748i | ||||
\(470\) | 26.2776 | + | 5.78413i | 1.21209 | + | 0.266802i | ||||
\(471\) | 12.2957 | 0.566554 | ||||||||
\(472\) | −0.731387 | − | 0.230407i | −0.0336648 | − | 0.0106054i | ||||
\(473\) | 40.5905 | 1.86635 | ||||||||
\(474\) | 9.23330 | + | 2.03240i | 0.424100 | + | 0.0933514i | ||||
\(475\) | −0.892337 | − | 5.44302i | −0.0409432 | − | 0.249743i | ||||
\(476\) | −2.78159 | − | 1.28690i | −0.127494 | − | 0.0589849i | ||||
\(477\) | 3.23594 | + | 11.6548i | 0.148164 | + | 0.533637i | ||||
\(478\) | 2.57858 | − | 47.5592i | 0.117942 | − | 2.17531i | ||||
\(479\) | −5.90151 | − | 5.59021i | −0.269647 | − | 0.255423i | 0.540913 | − | 0.841078i | \(-0.318079\pi\) |
−0.810560 | + | 0.585655i | \(0.800837\pi\) | |||||||
\(480\) | −16.6520 | − | 12.6585i | −0.760055 | − | 0.577779i | ||||
\(481\) | 42.4668 | − | 14.3087i | 1.93632 | − | 0.652421i | ||||
\(482\) | −1.25501 | − | 23.1473i | −0.0571643 | − | 1.05433i | ||||
\(483\) | −0.906518 | + | 1.06724i | −0.0412480 | + | 0.0485609i | ||||
\(484\) | 6.98546 | − | 25.1594i | 0.317521 | − | 1.14361i | ||||
\(485\) | 12.0837 | + | 4.07147i | 0.548692 | + | 0.184876i | ||||
\(486\) | −1.11530 | − | 1.64495i | −0.0505912 | − | 0.0746165i | ||||
\(487\) | −38.4563 | + | 17.7918i | −1.74262 | + | 0.806223i | −0.753803 | + | 0.657100i | \(0.771783\pi\) |
−0.988819 | + | 0.149123i | \(0.952355\pi\) | |||||||
\(488\) | −0.0606031 | − | 0.0713475i | −0.00274337 | − | 0.00322975i | ||||
\(489\) | −7.17676 | + | 6.79819i | −0.324544 | + | 0.307425i | ||||
\(490\) | 34.9737 | − | 3.80362i | 1.57995 | − | 0.171830i | ||||
\(491\) | −0.123442 | + | 0.309815i | −0.00557085 | + | 0.0139818i | −0.931736 | − | 0.363137i | \(-0.881706\pi\) |
0.926165 | + | 0.377119i | \(0.123085\pi\) | |||||||
\(492\) | 3.04672 | − | 18.5842i | 0.137357 | − | 0.837839i | ||||
\(493\) | −0.696196 | + | 1.02681i | −0.0313551 | + | 0.0462453i | ||||
\(494\) | 21.7844 | − | 16.5601i | 0.980128 | − | 0.745074i | ||||
\(495\) | −12.9271 | − | 1.40590i | −0.581028 | − | 0.0631906i | ||||
\(496\) | 9.94904 | − | 18.7659i | 0.446725 | − | 0.842613i | ||||
\(497\) | −0.520173 | + | 0.312978i | −0.0233329 | + | 0.0140390i | ||||
\(498\) | 11.5085 | + | 6.92444i | 0.515708 | + | 0.310291i | ||||
\(499\) | 8.21537 | + | 15.4958i | 0.367770 | + | 0.693688i | 0.996469 | − | 0.0839606i | \(-0.0267570\pi\) |
−0.628699 | + | 0.777649i | \(0.716412\pi\) | |||||||
\(500\) | 5.82945 | + | 14.6308i | 0.260701 | + | 0.654310i | ||||
\(501\) | −10.0961 | + | 2.22232i | −0.451060 | + | 0.0992857i | ||||
\(502\) | −8.12524 | + | 1.78850i | −0.362647 | + | 0.0798247i | ||||
\(503\) | 8.63323 | + | 21.6678i | 0.384937 | + | 0.966118i | 0.985974 | + | 0.166897i | \(0.0533749\pi\) |
−0.601038 | + | 0.799221i | \(0.705246\pi\) | |||||||
\(504\) | 0.0246003 | + | 0.0464010i | 0.00109578 | + | 0.00206687i | ||||
\(505\) | −12.1913 | − | 7.33527i | −0.542506 | − | 0.326415i | ||||
\(506\) | −22.3863 | + | 13.4694i | −0.995194 | + | 0.598789i | ||||
\(507\) | 4.80623 | − | 9.06551i | 0.213452 | − | 0.402613i | ||||
\(508\) | 14.7660 | + | 1.60590i | 0.655137 | + | 0.0712505i | ||||
\(509\) | −18.7031 | + | 14.2177i | −0.828999 | + | 0.630189i | −0.931173 | − | 0.364578i | \(-0.881213\pi\) |
0.102174 | + | 0.994767i | \(0.467420\pi\) | |||||||
\(510\) | −8.77412 | + | 12.9409i | −0.388525 | + | 0.573031i | ||||
\(511\) | −1.12261 | + | 6.84761i | −0.0496613 | + | 0.302920i | ||||
\(512\) | −11.7475 | + | 29.4841i | −0.519173 | + | 1.30303i | ||||
\(513\) | −2.83812 | + | 0.308665i | −0.125306 | + | 0.0136279i | ||||
\(514\) | −27.0216 | + | 25.5962i | −1.19187 | + | 1.12900i | ||||
\(515\) | −27.5720 | − | 32.4603i | −1.21497 | − | 1.43037i | ||||
\(516\) | 14.5434 | − | 6.72851i | 0.640239 | − | 0.296206i | ||||
\(517\) | −14.2519 | − | 21.0200i | −0.626800 | − | 0.924461i | ||||
\(518\) | −9.20598 | − | 3.10186i | −0.404487 | − | 0.136288i | ||||
\(519\) | −0.878080 | + | 3.16256i | −0.0385434 | + | 0.138821i | ||||
\(520\) | −0.820680 | + | 0.966179i | −0.0359892 | + | 0.0423698i | ||||
\(521\) | 1.14394 | + | 21.0988i | 0.0501170 | + | 0.924354i | 0.910192 | + | 0.414186i | \(0.135934\pi\) |
−0.860075 | + | 0.510167i | \(0.829583\pi\) | |||||||
\(522\) | −0.781950 | + | 0.263470i | −0.0342250 | + | 0.0115317i | ||||
\(523\) | −19.5747 | − | 14.8803i | −0.855941 | − | 0.650670i | 0.0823166 | − | 0.996606i | \(-0.473768\pi\) |
−0.938258 | + | 0.345937i | \(0.887561\pi\) | |||||||
\(524\) | 19.5546 | + | 18.5231i | 0.854245 | + | 0.809184i | ||||
\(525\) | −0.0550263 | + | 1.01490i | −0.00240155 | + | 0.0442939i | ||||
\(526\) | 0.0854258 | + | 0.307676i | 0.00372474 | + | 0.0134153i | ||||
\(527\) | −14.0557 | − | 6.50288i | −0.612277 | − | 0.283270i | ||||
\(528\) | 3.27430 | + | 19.9724i | 0.142496 | + | 0.869186i | ||||
\(529\) | −15.5430 | − | 3.42128i | −0.675784 | − | 0.148751i | ||||
\(530\) | 63.2918 | 2.74922 | ||||||||
\(531\) | −6.02165 | + | 4.76863i | −0.261317 | + | 0.206941i | ||||
\(532\) | −2.92829 | −0.126958 | ||||||||
\(533\) | −45.4943 | − | 10.0141i | −1.97058 | − | 0.433757i | ||||
\(534\) | 3.17402 | + | 19.3607i | 0.137353 | + | 0.837818i | ||||
\(535\) | 22.8006 | + | 10.5487i | 0.985755 | + | 0.456059i | ||||
\(536\) | −0.0127845 | − | 0.0460455i | −0.000552205 | − | 0.00198886i | ||||
\(537\) | 0.839295 | − | 15.4799i | 0.0362182 | − | 0.668006i | ||||
\(538\) | −6.09548 | − | 5.77394i | −0.262795 | − | 0.248932i | ||||
\(539\) | −26.4342 | − | 20.0947i | −1.13860 | − | 0.865542i | ||||
\(540\) | −4.86477 | + | 1.63913i | −0.209346 | + | 0.0705370i | ||||
\(541\) | 1.74323 | + | 32.1519i | 0.0749472 | + | 1.38232i | 0.758145 | + | 0.652086i | \(0.226106\pi\) |
−0.683198 | + | 0.730233i | \(0.739411\pi\) | |||||||
\(542\) | 4.95409 | − | 5.83240i | 0.212796 | − | 0.250523i | ||||
\(543\) | −6.87255 | + | 24.7527i | −0.294929 | + | 1.06224i | ||||
\(544\) | 22.4958 | + | 7.57971i | 0.964499 | + | 0.324978i | ||||
\(545\) | −12.7280 | − | 18.7724i | −0.545207 | − | 0.804120i | ||||
\(546\) | −4.57644 | + | 2.11729i | −0.195853 | + | 0.0906114i | ||||
\(547\) | 2.71586 | + | 3.19736i | 0.116122 | + | 0.136709i | 0.817152 | − | 0.576423i | \(-0.195552\pi\) |
−0.701030 | + | 0.713132i | \(0.747276\pi\) | |||||||
\(548\) | −1.29077 | + | 1.22268i | −0.0551388 | + | 0.0522303i | ||||
\(549\) | −0.932201 | + | 0.101383i | −0.0397854 | + | 0.00432692i | ||||
\(550\) | −7.01919 | + | 17.6168i | −0.299299 | + | 0.751184i | ||||
\(551\) | −0.191760 | + | 1.16969i | −0.00816926 | + | 0.0498303i | ||||
\(552\) | 0.149122 | − | 0.219939i | 0.00634706 | − | 0.00936121i | ||||
\(553\) | −1.99231 | + | 1.51451i | −0.0847215 | + | 0.0644036i | ||||
\(554\) | 28.7435 | + | 3.12604i | 1.22119 | + | 0.132813i | ||||
\(555\) | −11.4589 | + | 21.6138i | −0.486403 | + | 0.917453i | ||||
\(556\) | 23.2353 | − | 13.9802i | 0.985395 | − | 0.592893i | ||||
\(557\) | 9.18554 | + | 5.52676i | 0.389204 | + | 0.234176i | 0.696684 | − | 0.717378i | \(-0.254658\pi\) |
−0.307480 | + | 0.951555i | \(0.599486\pi\) | |||||||
\(558\) | −4.82504 | − | 9.10100i | −0.204260 | − | 0.385276i | ||||
\(559\) | −14.6716 | − | 36.8229i | −0.620542 | − | 1.55744i | ||||
\(560\) | 5.54331 | − | 1.22017i | 0.234247 | − | 0.0515618i | ||||
\(561\) | 14.4122 | − | 3.17235i | 0.608482 | − | 0.133937i | ||||
\(562\) | 18.0597 | + | 45.3266i | 0.761805 | + | 1.91199i | ||||
\(563\) | −10.4276 | − | 19.6686i | −0.439471 | − | 0.828931i | −1.00000 | 0.000795545i | \(-0.999747\pi\) | |
0.560528 | − | 0.828135i | \(-0.310598\pi\) | |||||||
\(564\) | −8.59083 | − | 5.16893i | −0.361739 | − | 0.217651i | ||||
\(565\) | −39.4082 | + | 23.7111i | −1.65792 | + | 0.997534i | ||||
\(566\) | 17.4082 | − | 32.8354i | 0.731721 | − | 1.38017i | ||||
\(567\) | 0.522990 | + | 0.0568786i | 0.0219635 | + | 0.00238868i | ||||
\(568\) | 0.0917116 | − | 0.0697174i | 0.00384813 | − | 0.00292528i | ||||
\(569\) | 7.25451 | − | 10.6996i | 0.304125 | − | 0.448551i | −0.644662 | − | 0.764468i | \(-0.723002\pi\) |
0.948787 | + | 0.315917i | \(0.102312\pi\) | |||||||
\(570\) | −2.41675 | + | 14.7415i | −0.101226 | + | 0.617453i | ||||
\(571\) | 13.4247 | − | 33.6935i | 0.561807 | − | 1.41003i | −0.324036 | − | 0.946045i | \(-0.605040\pi\) |
0.885843 | − | 0.463984i | \(-0.153581\pi\) | |||||||
\(572\) | −46.1705 | + | 5.02134i | −1.93049 | + | 0.209953i | ||||
\(573\) | 14.1804 | − | 13.4324i | 0.592393 | − | 0.561145i | ||||
\(574\) | 6.53756 | + | 7.69661i | 0.272872 | + | 0.321250i | ||||
\(575\) | 4.66727 | − | 2.15931i | 0.194639 | − | 0.0900494i | ||||
\(576\) | 4.26122 | + | 6.28483i | 0.177551 | + | 0.261868i | ||||
\(577\) | 16.4167 | + | 5.53142i | 0.683435 | + | 0.230276i | 0.639537 | − | 0.768760i | \(-0.279126\pi\) |
0.0438975 | + | 0.999036i | \(0.486023\pi\) | |||||||
\(578\) | −4.29171 | + | 15.4573i | −0.178511 | + | 0.642940i | ||||
\(579\) | −12.7631 | + | 15.0259i | −0.530417 | + | 0.624455i | ||||
\(580\) | 0.115390 | + | 2.12823i | 0.00479129 | + | 0.0883701i | ||||
\(581\) | −3.36916 | + | 1.13520i | −0.139776 | + | 0.0470961i | ||||
\(582\) | −7.66249 | − | 5.82487i | −0.317620 | − | 0.241449i | ||||
\(583\) | −43.3699 | − | 41.0821i | −1.79620 | − | 1.70145i | ||||
\(584\) | 0.0712901 | − | 1.31487i | 0.00295000 | − | 0.0544096i | ||||
\(585\) | 3.39713 | + | 12.2354i | 0.140454 | + | 0.505870i | ||||
\(586\) | −34.8408 | − | 16.1191i | −1.43926 | − | 0.665873i | ||||
\(587\) | −3.19077 | − | 19.4628i | −0.131697 | − | 0.803316i | −0.967235 | − | 0.253883i | \(-0.918292\pi\) |
0.835538 | − | 0.549433i | \(-0.185156\pi\) | |||||||
\(588\) | −12.8023 | − | 2.81800i | −0.527958 | − | 0.116212i | ||||
\(589\) | −14.7971 | −0.609702 | ||||||||
\(590\) | 15.6132 | + | 37.0357i | 0.642787 | + | 1.52474i | ||||
\(591\) | −24.3885 | −1.00321 | ||||||||
\(592\) | 37.1860 | + | 8.18526i | 1.52833 | + | 0.336412i | ||||
\(593\) | 2.53344 | + | 15.4533i | 0.104036 | + | 0.634592i | 0.986443 | + | 0.164105i | \(0.0524735\pi\) |
−0.882407 | + | 0.470487i | \(0.844078\pi\) | |||||||
\(594\) | 8.90823 | + | 4.12139i | 0.365509 | + | 0.169103i | ||||
\(595\) | −1.10720 | − | 3.98778i | −0.0453909 | − | 0.163483i | ||||
\(596\) | 2.06255 | − | 38.0414i | 0.0844852 | − | 1.55824i | ||||
\(597\) | 5.82186 | + | 5.51476i | 0.238273 | + | 0.225704i | ||||
\(598\) | 20.3108 | + | 15.4399i | 0.830572 | + | 0.631384i | ||||
\(599\) | 36.5698 | − | 12.3218i | 1.49420 | − | 0.503455i | 0.550666 | − | 0.834726i | \(-0.314374\pi\) |
0.943536 | + | 0.331270i | \(0.107477\pi\) | |||||||
\(600\) | −0.0104422 | − | 0.192595i | −0.000426301 | − | 0.00786266i | ||||
\(601\) | 29.2913 | − | 34.4844i | 1.19482 | − | 1.40665i | 0.303765 | − | 0.952747i | \(-0.401756\pi\) |
0.891052 | − | 0.453901i | \(-0.149968\pi\) | |||||||
\(602\) | −2.29881 | + | 8.27958i | −0.0936927 | + | 0.337450i | ||||
\(603\) | −0.453622 | − | 0.152843i | −0.0184729 | − | 0.00622425i | ||||
\(604\) | −15.1164 | − | 22.2950i | −0.615076 | − | 0.907169i | ||||
\(605\) | 32.0004 | − | 14.8050i | 1.30100 | − | 0.601907i | ||||
\(606\) | 6.95282 | + | 8.18549i | 0.282439 | + | 0.332513i | ||||
\(607\) | 7.13360 | − | 6.75730i | 0.289544 | − | 0.274271i | −0.529116 | − | 0.848550i | \(-0.677476\pi\) |
0.818660 | + | 0.574279i | \(0.194718\pi\) | |||||||
\(608\) | 22.5477 | − | 2.45221i | 0.914432 | − | 0.0994504i | ||||
\(609\) | 0.0808452 | − | 0.202906i | 0.00327601 | − | 0.00822218i | ||||
\(610\) | −0.793797 | + | 4.84195i | −0.0321399 | + | 0.196045i | ||||
\(611\) | −13.9176 | + | 20.5269i | −0.563044 | + | 0.830428i | ||||
\(612\) | 4.63796 | − | 3.52568i | 0.187478 | − | 0.142517i | ||||
\(613\) | 25.4484 | + | 2.76768i | 1.02785 | + | 0.111786i | 0.606477 | − | 0.795101i | \(-0.292582\pi\) |
0.421374 | + | 0.906887i | \(0.361548\pi\) | |||||||
\(614\) | 3.33462 | − | 6.28976i | 0.134574 | − | 0.253834i | ||||
\(615\) | 21.7900 | − | 13.1106i | 0.878659 | − | 0.528672i | ||||
\(616\) | −0.222252 | − | 0.133725i | −0.00895480 | − | 0.00538793i | ||||
\(617\) | −3.34090 | − | 6.30160i | −0.134499 | − | 0.253693i | 0.807109 | − | 0.590402i | \(-0.201031\pi\) |
−0.941609 | + | 0.336709i | \(0.890686\pi\) | |||||||
\(618\) | 11.8994 | + | 29.8652i | 0.478663 | + | 1.20135i | ||||
\(619\) | −17.4985 | + | 3.85172i | −0.703326 | + | 0.154814i | −0.552213 | − | 0.833703i | \(-0.686217\pi\) |
−0.151112 | + | 0.988517i | \(0.548286\pi\) | |||||||
\(620\) | −25.9854 | + | 5.71982i | −1.04360 | + | 0.229714i | ||||
\(621\) | −0.985213 | − | 2.47270i | −0.0395352 | − | 0.0992259i | ||||
\(622\) | 31.3978 | + | 59.2225i | 1.25894 | + | 2.37461i | ||||
\(623\) | −4.44989 | − | 2.67741i | −0.178281 | − | 0.107268i | ||||
\(624\) | 16.9350 | − | 10.1895i | 0.677944 | − | 0.407905i | ||||
\(625\) | −14.4867 | + | 27.3247i | −0.579466 | + | 1.09299i | ||||
\(626\) | −61.3949 | − | 6.67709i | −2.45383 | − | 0.266870i | ||||
\(627\) | 11.2246 | − | 8.53273i | 0.448268 | − | 0.340764i | ||||
\(628\) | −13.4537 | + | 19.8428i | −0.536862 | + | 0.791812i | ||||
\(629\) | 4.49157 | − | 27.3974i | 0.179091 | − | 1.09240i | ||||
\(630\) | 1.01889 | − | 2.55722i | 0.0405935 | − | 0.101882i | ||||
\(631\) | 16.5530 | − | 1.80025i | 0.658965 | − | 0.0716667i | 0.227474 | − | 0.973784i | \(-0.426953\pi\) |
0.431491 | + | 0.902117i | \(0.357988\pi\) | |||||||
\(632\) | 0.344784 | − | 0.326597i | 0.0137148 | − | 0.0129913i | ||||
\(633\) | −3.50206 | − | 4.12295i | −0.139195 | − | 0.163872i | ||||
\(634\) | 6.40550 | − | 2.96350i | 0.254395 | − | 0.117696i | ||||
\(635\) | 11.2557 | + | 16.6009i | 0.446669 | + | 0.658787i | ||||
\(636\) | −22.3493 | − | 7.53035i | −0.886206 | − | 0.298598i | ||||
\(637\) | −8.67483 | + | 31.2439i | −0.343709 | + | 1.23793i | ||||
\(638\) | 2.63825 | − | 3.10599i | 0.104449 | − | 0.122967i | ||||
\(639\) | −0.0624744 | − | 1.15227i | −0.00247145 | − | 0.0455832i | ||||
\(640\) | −1.99205 | + | 0.671201i | −0.0787428 | + | 0.0265315i | ||||
\(641\) | 8.67371 | + | 6.59358i | 0.342591 | + | 0.260431i | 0.762294 | − | 0.647230i | \(-0.224073\pi\) |
−0.419703 | + | 0.907661i | \(0.637866\pi\) | |||||||
\(642\) | −13.7674 | − | 13.0412i | −0.543357 | − | 0.514695i | ||||
\(643\) | −2.02490 | + | 37.3471i | −0.0798543 | + | 1.47283i | 0.634436 | + | 0.772976i | \(0.281232\pi\) |
−0.714290 | + | 0.699850i | \(0.753250\pi\) | |||||||
\(644\) | −0.730408 | − | 2.63069i | −0.0287821 | − | 0.103664i | ||||
\(645\) | 19.6388 | + | 9.08586i | 0.773276 | + | 0.357755i | ||||
\(646\) | −2.74272 | − | 16.7298i | −0.107911 | − | 0.658226i | ||||
\(647\) | −17.1266 | − | 3.76984i | −0.673314 | − | 0.148208i | −0.134863 | − | 0.990864i | \(-0.543059\pi\) |
−0.538451 | + | 0.842657i | \(0.680990\pi\) | |||||||
\(648\) | −0.0998316 | −0.00392176 | ||||||||
\(649\) | 13.3408 | − | 35.5126i | 0.523671 | − | 1.39399i | ||||
\(650\) | 18.5188 | 0.726366 | ||||||||
\(651\) | 2.66295 | + | 0.586160i | 0.104369 | + | 0.0229734i | ||||
\(652\) | −3.11823 | − | 19.0203i | −0.122119 | − | 0.744894i | ||||
\(653\) | 25.6913 | + | 11.8861i | 1.00538 | + | 0.465138i | 0.852287 | − | 0.523075i | \(-0.175215\pi\) |
0.153091 | + | 0.988212i | \(0.451077\pi\) | |||||||
\(654\) | 4.58013 | + | 16.4961i | 0.179097 | + | 0.645049i | ||||
\(655\) | −1.96911 | + | 36.3182i | −0.0769397 | + | 1.41907i | ||||
\(656\) | −28.7355 | − | 27.2197i | −1.12193 | − | 1.06275i | ||||
\(657\) | −10.5006 | − | 7.98237i | −0.409668 | − | 0.311422i | ||||
\(658\) | 5.09478 | − | 1.71663i | 0.198615 | − | 0.0669213i | ||||
\(659\) | −2.00069 | − | 36.9005i | −0.0779357 | − | 1.43744i | −0.732157 | − | 0.681136i | \(-0.761486\pi\) |
0.654221 | − | 0.756303i | \(-0.272997\pi\) | |||||||
\(660\) | 16.4134 | − | 19.3234i | 0.638892 | − | 0.752162i | ||||
\(661\) | −7.34505 | + | 26.4545i | −0.285689 | + | 1.02896i | 0.671857 | + | 0.740681i | \(0.265497\pi\) |
−0.957546 | + | 0.288279i | \(0.906917\pi\) | |||||||
\(662\) | −39.0466 | − | 13.1563i | −1.51759 | − | 0.511335i | ||||
\(663\) | −8.08723 | − | 11.9278i | −0.314082 | − | 0.463236i | ||||
\(664\) | 0.612316 | − | 0.283288i | 0.0237625 | − | 0.0109937i | ||||
\(665\) | −2.55991 | − | 3.01376i | −0.0992692 | − | 0.116869i | ||||
\(666\) | 13.4063 | − | 12.6991i | 0.519482 | − | 0.492079i | ||||
\(667\) | −1.09864 | + | 0.119485i | −0.0425396 | + | 0.00462646i | ||||
\(668\) | 7.46060 | − | 18.7247i | 0.288659 | − | 0.724480i | ||||
\(669\) | 3.48354 | − | 21.2487i | 0.134681 | − | 0.821521i | ||||
\(670\) | −1.40562 | + | 2.07314i | −0.0543039 | + | 0.0800923i | ||||
\(671\) | 3.68680 | − | 2.80263i | 0.142327 | − | 0.108194i | ||||
\(672\) | −4.15495 | − | 0.451878i | −0.160281 | − | 0.0174316i | ||||
\(673\) | −8.46767 | + | 15.9717i | −0.326405 | + | 0.615664i | −0.991353 | − | 0.131225i | \(-0.958109\pi\) |
0.664948 | + | 0.746890i | \(0.268454\pi\) | |||||||
\(674\) | −37.8922 | + | 22.7990i | −1.45955 | + | 0.878184i | ||||
\(675\) | −1.65548 | − | 0.996066i | −0.0637193 | − | 0.0383386i | ||||
\(676\) | 9.37103 | + | 17.6756i | 0.360424 | + | 0.679832i | ||||
\(677\) | −11.7403 | − | 29.4660i | −0.451218 | − | 1.13247i | −0.962070 | − | 0.272803i | \(-0.912049\pi\) |
0.510852 | − | 0.859668i | \(-0.329330\pi\) | |||||||
\(678\) | 33.9047 | − | 7.46298i | 1.30210 | − | 0.286614i | ||||
\(679\) | 2.48824 | − | 0.547704i | 0.0954900 | − | 0.0210189i | ||||
\(680\) | 0.290698 | + | 0.729597i | 0.0111478 | + | 0.0279788i | ||||
\(681\) | 6.45779 | + | 12.1807i | 0.247463 | + | 0.466765i | ||||
\(682\) | 43.5921 | + | 26.2285i | 1.66923 | + | 1.00434i | ||||
\(683\) | −2.76995 | + | 1.66662i | −0.105989 | + | 0.0637715i | −0.567561 | − | 0.823331i | \(-0.692113\pi\) |
0.461572 | + | 0.887103i | \(0.347285\pi\) | |||||||
\(684\) | 2.60731 | − | 4.91790i | 0.0996929 | − | 0.188041i | ||||
\(685\) | −2.38676 | − | 0.259575i | −0.0911933 | − | 0.00991787i | ||||
\(686\) | 11.4223 | − | 8.68300i | 0.436105 | − | 0.331519i | ||||
\(687\) | −10.2412 | + | 15.1046i | −0.390726 | + | 0.576278i | ||||
\(688\) | 5.44875 | − | 33.2359i | 0.207732 | − | 1.26711i | ||||
\(689\) | −21.5927 | + | 54.1936i | −0.822616 | + | 2.06461i | ||||
\(690\) | −13.8461 | + | 1.50586i | −0.527114 | + | 0.0573271i | ||||
\(691\) | −1.71361 | + | 1.62321i | −0.0651886 | + | 0.0617500i | −0.719600 | − | 0.694388i | \(-0.755675\pi\) |
0.654412 | + | 0.756138i | \(0.272916\pi\) | |||||||
\(692\) | −4.14296 | − | 4.87747i | −0.157492 | − | 0.185414i | ||||
\(693\) | −2.35805 | + | 1.09095i | −0.0895748 | + | 0.0414417i | ||||
\(694\) | −32.7499 | − | 48.3025i | −1.24317 | − | 1.83354i | ||||
\(695\) | 34.7005 | + | 11.6920i | 1.31627 | + | 0.443502i | ||||
\(696\) | −0.0110887 | + | 0.0399380i | −0.000420317 | + | 0.00151385i | ||||
\(697\) | −18.6837 | + | 21.9962i | −0.707696 | + | 0.833164i | ||||
\(698\) | 0.728641 | + | 13.4390i | 0.0275795 | + | 0.508673i | ||||
\(699\) | −3.62158 | + | 1.22025i | −0.136981 | + | 0.0461541i | ||||
\(700\) | −1.57764 | − | 1.19929i | −0.0596292 | − | 0.0453289i | ||||
\(701\) | 21.5493 | + | 20.4125i | 0.813904 | + | 0.770971i | 0.976453 | − | 0.215730i | \(-0.0692130\pi\) |
−0.162549 | + | 0.986700i | \(0.551972\pi\) | |||||||
\(702\) | 0.518928 | − | 9.57107i | 0.0195857 | − | 0.361237i | ||||
\(703\) | −7.09647 | − | 25.5592i | −0.267648 | − | 0.963982i | ||||
\(704\) | −34.0355 | − | 15.7465i | −1.28276 | − | 0.593468i | ||||
\(705\) | −2.19030 | − | 13.3603i | −0.0824916 | − | 0.503176i | ||||
\(706\) | −4.80019 | − | 1.05660i | −0.180658 | − | 0.0397657i | ||||
\(707\) | −2.84288 | −0.106918 | ||||||||
\(708\) | −1.10682 | − | 14.9355i | −0.0415970 | − | 0.561310i | ||||
\(709\) | 16.3108 | 0.612563 | 0.306282 | − | 0.951941i | \(-0.400915\pi\) | ||||
0.306282 | + | 0.951941i | \(0.400915\pi\) | |||||||
\(710\) | −5.89704 | − | 1.29804i | −0.221312 | − | 0.0487145i | ||||
\(711\) | −0.769619 | − | 4.69447i | −0.0288629 | − | 0.176056i | ||||
\(712\) | 0.894427 | + | 0.413806i | 0.0335201 | + | 0.0155080i | ||||
\(713\) | −3.69085 | − | 13.2932i | −0.138224 | − | 0.497836i | ||||
\(714\) | −0.169131 | + | 3.11943i | −0.00632956 | + | 0.116742i | ||||
\(715\) | −45.5302 | − | 43.1285i | −1.70273 | − | 1.61291i | ||||
\(716\) | 24.0631 | + | 18.2923i | 0.899281 | + | 0.683615i | ||||
\(717\) | −22.7110 | + | 7.65221i | −0.848156 | + | 0.285777i | ||||
\(718\) | 1.65027 | + | 30.4375i | 0.0615876 | + | 1.13592i | ||||
\(719\) | −4.60719 | + | 5.42400i | −0.171819 | + | 0.202281i | −0.841331 | − | 0.540520i | \(-0.818227\pi\) |
0.669512 | + | 0.742801i | \(0.266503\pi\) | |||||||
\(720\) | −2.88646 | + | 10.3961i | −0.107572 | + | 0.387440i | ||||
\(721\) | −8.06437 | − | 2.71720i | −0.300333 | − | 0.101194i | ||||
\(722\) | 12.1008 | + | 17.8474i | 0.450345 | + | 0.664210i | ||||
\(723\) | −10.5861 | + | 4.89765i | −0.393701 | + | 0.182145i | ||||
\(724\) | −32.4261 | − | 38.1749i | −1.20511 | − | 1.41876i | ||||
\(725\) | −0.582360 | + | 0.551641i | −0.0216283 | + | 0.0204874i | ||||
\(726\) | −26.4591 | + | 2.87760i | −0.981989 | + | 0.106798i | ||||
\(727\) | 7.89116 | − | 19.8053i | 0.292667 | − | 0.734539i | −0.706961 | − | 0.707253i | \(-0.749934\pi\) |
0.999628 | − | 0.0272860i | \(-0.00868649\pi\) | |||||||
\(728\) | −0.0409786 | + | 0.249959i | −0.00151877 | + | 0.00926408i | ||||
\(729\) | −0.561187 | + | 0.827689i | −0.0207847 | + | 0.0306551i | ||||
\(730\) | −54.9454 | + | 41.7684i | −2.03362 | + | 1.54592i | ||||
\(731\) | −24.4134 | − | 2.65512i | −0.902962 | − | 0.0982030i | ||||
\(732\) | 0.856388 | − | 1.61532i | 0.0316530 | − | 0.0597039i | ||||
\(733\) | 11.9110 | − | 7.16660i | 0.439942 | − | 0.264704i | −0.278305 | − | 0.960493i | \(-0.589772\pi\) |
0.718247 | + | 0.695788i | \(0.244945\pi\) | |||||||
\(734\) | 40.3663 | + | 24.2876i | 1.48995 | + | 0.896471i | ||||
\(735\) | −8.29152 | − | 15.6395i | −0.305837 | − | 0.576870i | ||||
\(736\) | 7.82711 | + | 19.6446i | 0.288511 | + | 0.724109i | ||||
\(737\) | 2.30884 | − | 0.508214i | 0.0850472 | − | 0.0187203i | ||||
\(738\) | −18.7470 | + | 4.12652i | −0.690085 | + | 0.151899i | ||||
\(739\) | 16.3423 | + | 41.0162i | 0.601162 | + | 1.50880i | 0.842684 | + | 0.538408i | \(0.180974\pi\) |
−0.241522 | + | 0.970395i | \(0.577647\pi\) | |||||||
\(740\) | −22.3422 | − | 42.1418i | −0.821315 | − | 1.54916i | ||||
\(741\) | −11.7979 | − | 7.09857i | −0.433407 | − | 0.260772i | ||||
\(742\) | 10.8361 | − | 6.51985i | 0.397805 | − | 0.239351i | ||||
\(743\) | −9.35005 | + | 17.6361i | −0.343020 | + | 0.647004i | −0.993666 | − | 0.112377i | \(-0.964153\pi\) |
0.650646 | + | 0.759381i | \(0.274498\pi\) | |||||||
\(744\) | −0.514405 | − | 0.0559450i | −0.0188590 | − | 0.00205104i | ||||
\(745\) | 40.9549 | − | 31.1331i | 1.50047 | − | 1.14063i | ||||
\(746\) | −10.3387 | + | 15.2485i | −0.378528 | + | 0.558287i | ||||
\(747\) | 1.09334 | − | 6.66907i | 0.0400032 | − | 0.244009i | ||||
\(748\) | −10.6500 | + | 26.7295i | −0.389403 | + | 0.977327i | ||||
\(749\) | 4.99030 | − | 0.542728i | 0.182342 | − | 0.0198308i | ||||
\(750\) | 11.6547 | − | 11.0399i | 0.425569 | − | 0.403121i | ||||
\(751\) | 28.7399 | + | 33.8353i | 1.04874 | + | 1.23467i | 0.971347 | + | 0.237666i | \(0.0763822\pi\) |
0.0773883 | + | 0.997001i | \(0.475342\pi\) | |||||||
\(752\) | −19.1246 | + | 8.84798i | −0.697402 | + | 0.322652i | ||||
\(753\) | 2.34927 | + | 3.46491i | 0.0856120 | + | 0.126268i | ||||
\(754\) | −3.77130 | − | 1.27070i | −0.137343 | − | 0.0462761i | ||||
\(755\) | 9.73099 | − | 35.0478i | 0.354147 | − | 1.27552i | ||||
\(756\) | −0.664039 | + | 0.781767i | −0.0241509 | + | 0.0284326i | ||||
\(757\) | −0.00968438 | − | 0.178618i | −0.000351985 | − | 0.00649198i | 0.998352 | − | 0.0573846i | \(-0.0182761\pi\) |
−0.998704 | + | 0.0508926i | \(0.983793\pi\) | |||||||
\(758\) | 35.7041 | − | 12.0301i | 1.29683 | − | 0.436953i | ||||
\(759\) | 10.4653 | + | 7.95554i | 0.379867 | + | 0.288768i | ||||
\(760\) | 0.544775 | + | 0.516038i | 0.0197611 | + | 0.0187187i | ||||
\(761\) | 1.35598 | − | 25.0095i | 0.0491542 | − | 0.906595i | −0.865137 | − | 0.501536i | \(-0.832768\pi\) |
0.914291 | − | 0.405059i | \(-0.132749\pi\) | |||||||
\(762\) | −4.05033 | − | 14.5880i | −0.146728 | − | 0.528466i | ||||
\(763\) | −4.11293 | − | 1.90284i | −0.148898 | − | 0.0688876i | ||||
\(764\) | 6.16122 | + | 37.5818i | 0.222905 | + | 1.35966i | ||||
\(765\) | 7.68310 | + | 1.69118i | 0.277783 | + | 0.0611446i | ||||
\(766\) | 7.80839 | 0.282129 | ||||||||
\(767\) | −37.0385 | + | 0.733692i | −1.33738 | + | 0.0264921i | ||||
\(768\) | 16.7732 | 0.605250 | ||||||||
\(769\) | −42.0463 | − | 9.25508i | −1.51623 | − | 0.333747i | −0.622594 | − | 0.782545i | \(-0.713921\pi\) |
−0.893633 | + | 0.448798i | \(0.851852\pi\) | |||||||
\(770\) | 2.19946 | + | 13.4161i | 0.0792630 | + | 0.483483i | ||||
\(771\) | 16.9971 | + | 7.86368i | 0.612134 | + | 0.283203i | ||||
\(772\) | −10.2836 | − | 37.0382i | −0.370115 | − | 1.33304i | ||||
\(773\) | −1.85837 | + | 34.2756i | −0.0668408 | + | 1.23281i | 0.752147 | + | 0.658995i | \(0.229018\pi\) |
−0.818988 | + | 0.573811i | \(0.805465\pi\) | |||||||
\(774\) | −11.8583 | − | 11.2327i | −0.426236 | − | 0.403753i | ||||
\(775\) | −7.97203 | − | 6.06018i | −0.286364 | − | 0.217688i | ||||
\(776\) | −0.458182 | + | 0.154379i | −0.0164478 | + | 0.00554190i | ||||
\(777\) | 0.264633 | + | 4.88087i | 0.00949366 | + | 0.175100i | ||||
\(778\) | 14.4220 | − | 16.9789i | 0.517053 | − | 0.608722i | ||||
\(779\) | −7.37690 | + | 26.5692i | −0.264305 | + | 0.951940i | ||||
\(780\) | −23.4625 | − | 7.90544i | −0.840093 | − | 0.283060i | ||||
\(781\) | 3.19833 | + | 4.71718i | 0.114445 | + | 0.168794i | ||||
\(782\) | 14.3455 | − | 6.63692i | 0.512993 | − | 0.237336i | ||||
\(783\) | 0.268786 | + | 0.316440i | 0.00960564 | + | 0.0113086i | ||||
\(784\) | −20.0022 | + | 18.9471i | −0.714366 | + | 0.676683i | ||||
\(785\) | −32.1832 | + | 3.50013i | −1.14867 | + | 0.124925i | ||||
\(786\) | 10.1620 | − | 25.5048i | 0.362468 | − | 0.909726i | ||||
\(787\) | 5.71098 | − | 34.8354i | 0.203574 | − | 1.24175i | −0.665247 | − | 0.746624i | \(-0.731674\pi\) |
0.868821 | − | 0.495126i | \(-0.164878\pi\) | |||||||
\(788\) | 26.6856 | − | 39.3583i | 0.950634 | − | 1.40208i | ||||
\(789\) | 0.127908 | − | 0.0972331i | 0.00455364 | − | 0.00346159i | ||||
\(790\) | −24.7462 | − | 2.69131i | −0.880429 | − | 0.0957525i | ||||
\(791\) | −4.30447 | + | 8.11909i | −0.153049 | + | 0.288682i | ||||
\(792\) | 0.422474 | − | 0.254194i | 0.0150119 | − | 0.00903239i | ||||
\(793\) | −3.87511 | − | 2.33157i | −0.137609 | − | 0.0827966i | ||||
\(794\) | −12.2051 | − | 23.0213i | −0.433143 | − | 0.816994i | ||||
\(795\) | −11.7876 | − | 29.5846i | −0.418063 | − | 1.04926i | ||||
\(796\) | −15.2699 | + | 3.36116i | −0.541228 | + | 0.119133i | ||||
\(797\) | 14.4884 | − | 3.18915i | 0.513207 | − | 0.112965i | 0.0491860 | − | 0.998790i | \(-0.484337\pi\) |
0.464021 | + | 0.885824i | \(0.346406\pi\) | |||||||
\(798\) | 1.10479 | + | 2.77282i | 0.0391093 | + | 0.0981569i | ||||
\(799\) | 7.19695 | + | 13.5749i | 0.254610 | + | 0.480245i | ||||
\(800\) | 13.1521 | + | 7.91334i | 0.464996 | + | 0.279779i | ||||
\(801\) | 8.45868 | − | 5.08942i | 0.298873 | − | 0.179826i | ||||
\(802\) | 16.8530 | − | 31.7880i | 0.595098 | − | 1.12247i | ||||
\(803\) | 64.7621 | + | 7.04330i | 2.28540 | + | 0.248553i | ||||
\(804\) | 0.743005 | − | 0.564818i | 0.0262038 | − | 0.0199196i | ||||
\(805\) | 2.06895 | − | 3.05148i | 0.0729211 | − | 0.107551i | ||||
\(806\) | 8.03746 | − | 49.0263i | 0.283107 | − | 1.72688i | ||||
\(807\) | −1.56369 | + | 3.92458i | −0.0550447 | + | 0.138152i | ||||
\(808\) | 0.536323 | − | 0.0583286i | 0.0188678 | − | 0.00205199i | ||||
\(809\) | −21.8058 | + | 20.6556i | −0.766652 | + | 0.726212i | −0.967351 | − | 0.253441i | \(-0.918437\pi\) |
0.200698 | + | 0.979653i | \(0.435679\pi\) | |||||||
\(810\) | 3.38750 | + | 3.98808i | 0.119025 | + | 0.140127i | ||||
\(811\) | −2.07082 | + | 0.958065i | −0.0727164 | + | 0.0336422i | −0.455910 | − | 0.890026i | \(-0.650686\pi\) |
0.383194 | + | 0.923668i | \(0.374824\pi\) | |||||||
\(812\) | 0.238991 | + | 0.352485i | 0.00838693 | + | 0.0123698i | ||||
\(813\) | −3.64892 | − | 1.22946i | −0.127973 | − | 0.0431191i | ||||
\(814\) | −24.3987 | + | 87.8761i | −0.855173 | + | 3.08006i | ||||
\(815\) | 16.8495 | − | 19.8368i | 0.590214 | − | 0.694854i | ||||
\(816\) | −0.662911 | − | 12.2267i | −0.0232065 | − | 0.428019i | ||||
\(817\) | −22.2349 | + | 7.49181i | −0.777901 | + | 0.262105i | ||||
\(818\) | 36.1327 | + | 27.4673i | 1.26335 | + | 0.960373i | ||||
\(819\) | 1.84201 | + | 1.74485i | 0.0643652 | + | 0.0609699i | ||||
\(820\) | −2.68437 | + | 49.5102i | −0.0937422 | + | 1.72897i | ||||
\(821\) | 6.55390 | + | 23.6050i | 0.228733 | + | 0.823821i | 0.985434 | + | 0.170060i | \(0.0543960\pi\) |
−0.756701 | + | 0.653761i | \(0.773190\pi\) | |||||||
\(822\) | 1.64475 | + | 0.760942i | 0.0573672 | + | 0.0265409i | ||||
\(823\) | 0.126587 | + | 0.772144i | 0.00441253 | + | 0.0269153i | 0.988941 | − | 0.148309i | \(-0.0473831\pi\) |
−0.984528 | + | 0.175225i | \(0.943935\pi\) | |||||||
\(824\) | 1.57713 | + | 0.347153i | 0.0549420 | + | 0.0120937i | ||||
\(825\) | 9.54195 | 0.332208 | ||||||||
\(826\) | 6.48826 | + | 4.73246i | 0.225756 | + | 0.164663i | ||||
\(827\) | 2.76893 | 0.0962851 | 0.0481425 | − | 0.998840i | \(-0.484670\pi\) | ||||
0.0481425 | + | 0.998840i | \(0.484670\pi\) | |||||||
\(828\) | 5.06845 | + | 1.11565i | 0.176141 | + | 0.0387715i | ||||
\(829\) | −0.901442 | − | 5.49855i | −0.0313084 | − | 0.190973i | 0.966542 | − | 0.256509i | \(-0.0825724\pi\) |
−0.997850 | + | 0.0655365i | \(0.979124\pi\) | |||||||
\(830\) | −32.0940 | − | 14.8483i | −1.11400 | − | 0.515390i | ||||
\(831\) | −3.89204 | − | 14.0178i | −0.135013 | − | 0.486274i | ||||
\(832\) | −1.98266 | + | 36.5680i | −0.0687363 | + | 1.26777i | ||||
\(833\) | 14.5845 | + | 13.8152i | 0.505325 | + | 0.478669i | ||||
\(834\) | −22.0042 | − | 16.7272i | −0.761944 | − | 0.579215i | ||||
\(835\) | 25.7933 | − | 8.69077i | 0.892613 | − | 0.300756i | ||||
\(836\) | 1.48833 | + | 27.4507i | 0.0514751 | + | 0.949402i | ||||
\(837\) | −3.35548 | + | 3.95037i | −0.115982 | + | 0.136545i | ||||
\(838\) | 20.1985 | − | 72.7483i | 0.697745 | − | 2.51305i | ||||
\(839\) | −3.90890 | − | 1.31706i | −0.134950 | − | 0.0454700i | 0.251016 | − | 0.967983i | \(-0.419235\pi\) |
−0.385966 | + | 0.922513i | \(0.626132\pi\) | |||||||
\(840\) | −0.0775984 | − | 0.114449i | −0.00267740 | − | 0.00394887i | ||||
\(841\) | −26.1632 | + | 12.1044i | −0.902181 | + | 0.417393i | ||||
\(842\) | 21.0773 | + | 24.8141i | 0.726372 | + | 0.855151i | ||||
\(843\) | 17.8236 | − | 16.8834i | 0.613878 | − | 0.581496i | ||||
\(844\) | 10.4855 | − | 1.14037i | 0.360927 | − | 0.0392531i | ||||
\(845\) | −9.99940 | + | 25.0966i | −0.343990 | + | 0.863349i | ||||
\(846\) | −1.65333 | + | 10.0849i | −0.0568427 | + | 0.346725i | ||||
\(847\) | 3.95364 | − | 5.83118i | 0.135849 | − | 0.200362i | ||||
\(848\) | −39.4603 | + | 29.9970i | −1.35507 | + | 1.03010i | ||||
\(849\) | −18.5905 | − | 2.02183i | −0.638023 | − | 0.0693892i | ||||
\(850\) | 5.37409 | − | 10.1366i | 0.184330 | − | 0.347683i | ||||
\(851\) | 21.1915 | − | 12.7505i | 0.726436 | − | 0.437082i | ||||
\(852\) | 1.92790 | + | 1.15998i | 0.0660486 | + | 0.0397402i | ||||
\(853\) | 12.8507 | + | 24.2389i | 0.439998 | + | 0.829925i | 0.999999 | + | 0.00143250i | \(0.000455978\pi\) |
−0.560001 | + | 0.828492i | \(0.689199\pi\) | |||||||
\(854\) | 0.362877 | + | 0.910753i | 0.0124174 | + | 0.0311653i | ||||
\(855\) | 7.34076 | − | 1.61582i | 0.251049 | − | 0.0552600i | ||||
\(856\) | −0.930308 | + | 0.204776i | −0.0317973 | + | 0.00699911i | ||||
\(857\) | 4.76818 | + | 11.9672i | 0.162878 | + | 0.408793i | 0.987651 | − | 0.156671i | \(-0.0500763\pi\) |
−0.824773 | + | 0.565464i | \(0.808697\pi\) | |||||||
\(858\) | 22.1741 | + | 41.8247i | 0.757010 | + | 1.42787i | ||||
\(859\) | 13.3257 | + | 8.01779i | 0.454666 | + | 0.273564i | 0.724411 | − | 0.689368i | \(-0.242112\pi\) |
−0.269745 | + | 0.962932i | \(0.586939\pi\) | |||||||
\(860\) | −36.1512 | + | 21.7515i | −1.23275 | + | 0.741719i | ||||
\(861\) | 2.38008 | − | 4.48930i | 0.0811128 | − | 0.152995i | ||||
\(862\) | 12.7272 | + | 1.38417i | 0.433492 | + | 0.0471451i | ||||
\(863\) | 19.7455 | − | 15.0102i | 0.672146 | − | 0.510952i | −0.212532 | − | 0.977154i | \(-0.568171\pi\) |
0.884678 | + | 0.466202i | \(0.154378\pi\) | |||||||
\(864\) | 4.45840 | − | 6.57565i | 0.151678 | − | 0.223708i | ||||
\(865\) | 1.39806 | − | 8.52777i | 0.0475353 | − | 0.289953i | ||||
\(866\) | −11.2785 | + | 28.3069i | −0.383258 | + | 0.961906i | ||||
\(867\) | 8.02456 | − | 0.872723i | 0.272528 | − | 0.0296392i | ||||
\(868\) | −3.85971 | + | 3.65611i | −0.131007 | + | 0.124096i | ||||
\(869\) | 15.2101 | + | 17.9067i | 0.515967 | + | 0.607443i | ||||
\(870\) | 1.97171 | − | 0.912209i | 0.0668471 | − | 0.0309268i | ||||
\(871\) | −1.29558 | − | 1.91084i | −0.0438991 | − | 0.0647463i | ||||
\(872\) | 0.814966 | + | 0.274594i | 0.0275982 | + | 0.00929892i | ||||
\(873\) | −1.29566 | + | 4.66653i | −0.0438513 | + | 0.157938i | ||||
\(874\) | 9.77687 | − | 11.5102i | 0.330708 | − | 0.389339i | ||||
\(875\) | 0.230058 | + | 4.24317i | 0.00777738 | + | 0.143445i | ||||
\(876\) | 24.3716 | − | 8.21174i | 0.823439 | − | 0.277449i | ||||
\(877\) | −31.8642 | − | 24.2225i | −1.07598 | − | 0.817937i | −0.0919168 | − | 0.995767i | \(-0.529299\pi\) |
−0.984061 | + | 0.177829i | \(0.943092\pi\) | |||||||
\(878\) | 24.8179 | + | 23.5088i | 0.837565 | + | 0.793383i | ||||
\(879\) | −1.04575 | + | 19.2878i | −0.0352724 | + | 0.650561i | ||||
\(880\) | −14.2557 | − | 51.3444i | −0.480560 | − | 1.73082i | ||||
\(881\) | 4.51005 | + | 2.08657i | 0.151947 | + | 0.0702983i | 0.494389 | − | 0.869241i | \(-0.335392\pi\) |
−0.342442 | + | 0.939539i | \(0.611254\pi\) | |||||||
\(882\) | 2.16170 | + | 13.1858i | 0.0727881 | + | 0.443988i | ||||
\(883\) | 15.9968 | + | 3.52116i | 0.538334 | + | 0.118496i | 0.475812 | − | 0.879547i | \(-0.342154\pi\) |
0.0625227 | + | 0.998044i | \(0.480085\pi\) | |||||||
\(884\) | 28.0980 | 0.945037 | ||||||||
\(885\) | 14.4038 | − | 14.1957i | 0.484180 | − | 0.477185i | ||||
\(886\) | −23.1583 | −0.778020 | ||||||||
\(887\) | −38.1038 | − | 8.38728i | −1.27940 | − | 0.281617i | −0.477265 | − | 0.878760i | \(-0.658372\pi\) |
−0.802135 | + | 0.597143i | \(0.796303\pi\) | |||||||
\(888\) | −0.150067 | − | 0.915370i | −0.00503593 | − | 0.0307178i | ||||
\(889\) | 3.63718 | + | 1.68274i | 0.121987 | + | 0.0564372i | ||||
\(890\) | −13.8191 | − | 49.7719i | −0.463217 | − | 1.66836i | ||||
\(891\) | 0.267382 | − | 4.93157i | 0.00895764 | − | 0.165214i | ||||
\(892\) | 30.4795 | + | 28.8717i | 1.02053 | + | 0.966696i | ||||
\(893\) | 11.6867 | + | 8.88400i | 0.391081 | + | 0.297292i | ||||
\(894\) | −36.7999 | + | 12.3993i | −1.23077 | + | 0.414696i | ||||
\(895\) | 2.20976 | + | 40.7566i | 0.0738641 | + | 1.36234i | ||||
\(896\) | −0.271914 | + | 0.320122i | −0.00908401 | + | 0.0106945i | ||||
\(897\) | 3.43438 | − | 12.3695i | 0.114670 | − | 0.413006i | ||||
\(898\) | −15.5464 | − | 5.23818i | −0.518789 | − | 0.174800i | ||||
\(899\) | 1.20765 | + | 1.78115i | 0.0402775 | + | 0.0594048i | ||||
\(900\) | 3.41885 | − | 1.58173i | 0.113962 | − | 0.0527243i | ||||
\(901\) | 23.3978 | + | 27.5460i | 0.779493 | + | 0.917690i | ||||
\(902\) | 68.8275 | − | 65.1969i | 2.29170 | − | 2.17082i | ||||
\(903\) | 4.29828 | − | 0.467466i | 0.143038 | − | 0.0155563i | ||||
\(904\) | 0.645476 | − | 1.62002i | 0.0214682 | − | 0.0538811i | ||||
\(905\) | 10.9423 | − | 66.7451i | 0.363734 | − | 2.21868i | ||||
\(906\) | −15.4081 | + | 22.7253i | −0.511901 | + | 0.754998i | ||||
\(907\) | 16.5285 | − | 12.5647i | 0.548821 | − | 0.417203i | −0.293675 | − | 0.955905i | \(-0.594878\pi\) |
0.842496 | + | 0.538702i | \(0.181085\pi\) | |||||||
\(908\) | −26.7232 | − | 2.90632i | −0.886841 | − | 0.0964497i | ||||
\(909\) | 2.53126 | − | 4.77446i | 0.0839565 | − | 0.158359i | ||||
\(910\) | 11.3758 | − | 6.84462i | 0.377105 | − | 0.226897i | ||||
\(911\) | −14.9392 | − | 8.98862i | −0.494958 | − | 0.297806i | 0.246103 | − | 0.969244i | \(-0.420850\pi\) |
−0.741061 | + | 0.671437i | \(0.765677\pi\) | |||||||
\(912\) | −5.47993 | − | 10.3362i | −0.181459 | − | 0.342267i | ||||
\(913\) | 12.3541 | + | 31.0065i | 0.408861 | + | 1.02616i | ||||
\(914\) | −24.5723 | + | 5.40877i | −0.812780 | + | 0.178906i | ||||
\(915\) | 2.41112 | − | 0.530728i | 0.0797092 | − | 0.0175453i | ||||
\(916\) | −13.1701 | − | 33.0545i | −0.435153 | − | 1.09215i | ||||
\(917\) | 3.40410 | + | 6.42082i | 0.112413 | + | 0.212034i | ||||
\(918\) | −5.08832 | − | 3.06154i | −0.167940 | − | 0.101046i | ||||
\(919\) | 7.74487 | − | 4.65993i | 0.255480 | − | 0.153717i | −0.382053 | − | 0.924140i | \(-0.624783\pi\) |
0.637532 | + | 0.770424i | \(0.279955\pi\) | |||||||
\(920\) | −0.327710 | + | 0.618126i | −0.0108043 | + | 0.0203790i | ||||
\(921\) | −3.56109 | − | 0.387291i | −0.117342 | − | 0.0127617i | ||||
\(922\) | 18.1848 | − | 13.8237i | 0.598884 | − | 0.455260i | ||||
\(923\) | 3.12329 | − | 4.60651i | 0.102804 | − | 0.151625i | ||||
\(924\) | 0.819564 | − | 4.99912i | 0.0269617 | − | 0.164459i | ||||
\(925\) | 6.64455 | − | 16.6766i | 0.218472 | − | 0.548322i | ||||
\(926\) | 43.4989 | − | 4.73079i | 1.42946 | − | 0.155464i | ||||
\(927\) | 11.7438 | − | 11.1243i | 0.385717 | − | 0.365370i | ||||
\(928\) | −2.13540 | − | 2.51399i | −0.0700979 | − | 0.0825256i | ||||
\(929\) | −20.7544 | + | 9.60199i | −0.680929 | + | 0.315031i | −0.729689 | − | 0.683779i | \(-0.760335\pi\) |
0.0487602 | + | 0.998811i | \(0.484473\pi\) | |||||||
\(930\) | 15.2200 | + | 22.4478i | 0.499083 | + | 0.736093i | ||||
\(931\) | 18.1892 | + | 6.12865i | 0.596126 | + | 0.200858i | ||||
\(932\) | 1.99343 | − | 7.17968i | 0.0652969 | − | 0.235178i | ||||
\(933\) | 21.8349 | − | 25.7061i | 0.714844 | − | 0.841579i | ||||
\(934\) | 1.82340 | + | 33.6306i | 0.0596633 | + | 1.10043i | ||||
\(935\) | −36.8199 | + | 12.4061i | −1.20414 | + | 0.405722i | ||||
\(936\) | −0.383305 | − | 0.291381i | −0.0125287 | − | 0.00952407i | ||||
\(937\) | 39.9197 | + | 37.8139i | 1.30412 | + | 1.23533i | 0.954421 | + | 0.298464i | \(0.0964743\pi\) |
0.349698 | + | 0.936863i | \(0.386284\pi\) | |||||||
\(938\) | −0.0270949 | + | 0.499736i | −0.000884679 | + | 0.0163169i | ||||
\(939\) | 8.31322 | + | 29.9415i | 0.271292 | + | 0.977105i | ||||
\(940\) | 23.9574 | + | 11.0839i | 0.781404 | + | 0.361516i | ||||
\(941\) | 1.18737 | + | 7.24262i | 0.0387070 | + | 0.236103i | 0.999094 | − | 0.0425690i | \(-0.0135542\pi\) |
−0.960386 | + | 0.278671i | \(0.910106\pi\) | |||||||
\(942\) | 23.8651 | + | 5.25311i | 0.777567 | + | 0.171156i | ||||
\(943\) | −25.7090 | −0.837201 | ||||||||
\(944\) | −27.2873 | − | 15.6907i | −0.888126 | − | 0.510688i | ||||
\(945\) | −1.38509 | −0.0450569 | ||||||||
\(946\) | 78.7836 | + | 17.3416i | 2.56148 | + | 0.563823i | ||||
\(947\) | 1.32319 | + | 8.07113i | 0.0429980 | + | 0.262276i | 0.999573 | − | 0.0292089i | \(-0.00929881\pi\) |
−0.956575 | + | 0.291485i | \(0.905851\pi\) | |||||||
\(948\) | 8.41804 | + | 3.89460i | 0.273405 | + | 0.126491i | ||||
\(949\) | −17.0190 | − | 61.2968i | −0.552459 | − | 1.98978i | ||||
\(950\) | 0.593464 | − | 10.9458i | 0.0192545 | − | 0.355128i | ||||
\(951\) | −2.57821 | − | 2.44221i | −0.0836042 | − | 0.0791941i | ||||
\(952\) | 0.124928 | + | 0.0949676i | 0.00404893 | + | 0.00307792i | ||||
\(953\) | −46.6817 | + | 15.7289i | −1.51217 | + | 0.509509i | −0.948578 | − | 0.316545i | \(-0.897477\pi\) |
−0.563592 | + | 0.826054i | \(0.690581\pi\) | |||||||
\(954\) | 1.30145 | + | 24.0038i | 0.0421359 | + | 0.777151i | ||||
\(955\) | −33.2926 | + | 39.1950i | −1.07732 | + | 1.26832i | ||||
\(956\) | 12.5008 | − | 45.0239i | 0.404306 | − | 1.45618i | ||||
\(957\) | −1.94319 | − | 0.654738i | −0.0628145 | − | 0.0211647i | ||||
\(958\) | −9.06615 | − | 13.3716i | −0.292914 | − | 0.432016i | ||||
\(959\) | −0.435372 | + | 0.201425i | −0.0140589 | + | 0.00650434i | ||||
\(960\) | −12.9426 | − | 15.2371i | −0.417719 | − | 0.491777i | ||||
\(961\) | 3.00223 | − | 2.84386i | 0.0968461 | − | 0.0917375i | ||||
\(962\) | 88.5385 | − | 9.62914i | 2.85460 | − | 0.310456i | ||||
\(963\) | −3.53181 | + | 8.86416i | −0.113811 | + | 0.285644i | ||||
\(964\) | 3.67931 | − | 22.4428i | 0.118502 | − | 0.722833i | ||||
\(965\) | 29.1294 | − | 42.9626i | 0.937708 | − | 1.38302i | ||||
\(966\) | −2.21545 | + | 1.68414i | −0.0712811 | + | 0.0541864i | ||||
\(967\) | 18.2234 | + | 1.98191i | 0.586024 | + | 0.0637339i | 0.396328 | − | 0.918109i | \(-0.370284\pi\) |
0.189696 | + | 0.981843i | \(0.439250\pi\) | |||||||
\(968\) | −0.626232 | + | 1.18120i | −0.0201279 | + | 0.0379652i | ||||
\(969\) | −7.30926 | + | 4.39783i | −0.234807 | + | 0.141279i | ||||
\(970\) | 21.7142 | + | 13.0650i | 0.697202 | + | 0.419493i | ||||
\(971\) | −3.89005 | − | 7.33740i | −0.124838 | − | 0.235469i | 0.813214 | − | 0.581965i | \(-0.197716\pi\) |
−0.938051 | + | 0.346497i | \(0.887371\pi\) | |||||||
\(972\) | −0.721683 | − | 1.81129i | −0.0231480 | − | 0.0580971i | ||||
\(973\) | 7.14545 | − | 1.57283i | 0.229072 | − | 0.0504227i | ||||
\(974\) | −82.2426 | + | 18.1030i | −2.63522 | + | 0.580056i | ||||
\(975\) | −3.44898 | − | 8.65628i | −0.110456 | − | 0.277223i | ||||
\(976\) | −1.79992 | − | 3.39501i | −0.0576141 | − | 0.108672i | ||||
\(977\) | 24.3933 | + | 14.6770i | 0.780411 | + | 0.469558i | 0.849199 | − | 0.528073i | \(-0.177085\pi\) |
−0.0687874 | + | 0.997631i | \(0.521913\pi\) | |||||||
\(978\) | −16.8341 | + | 10.1287i | −0.538294 | + | 0.323881i | ||||
\(979\) | −22.8371 | + | 43.0754i | −0.729878 | + | 1.37670i | ||||
\(980\) | 34.3114 | + | 3.73159i | 1.09604 | + | 0.119201i | ||||
\(981\) | 6.85781 | − | 5.21317i | 0.218953 | − | 0.166444i | ||||
\(982\) | −0.371956 | + | 0.548594i | −0.0118696 | + | 0.0175063i | ||||
\(983\) | 2.35427 | − | 14.3604i | 0.0750895 | − | 0.458025i | −0.922341 | − | 0.386378i | \(-0.873726\pi\) |
0.997430 | − | 0.0716475i | \(-0.0228257\pi\) | |||||||
\(984\) | −0.356904 | + | 0.895761i | −0.0113777 | + | 0.0285558i | ||||
\(985\) | 63.8356 | − | 6.94254i | 2.03397 | − | 0.221208i | ||||
\(986\) | −1.78996 | + | 1.69554i | −0.0570040 | + | 0.0539970i | ||||
\(987\) | −1.75127 | − | 2.06176i | −0.0557437 | − | 0.0656265i | ||||
\(988\) | 24.3648 | − | 11.2723i | 0.775147 | − | 0.358621i | ||||
\(989\) | −12.2765 | − | 18.1065i | −0.390370 | − | 0.575753i | ||||
\(990\) | −24.4900 | − | 8.25163i | −0.778343 | − | 0.262254i | ||||
\(991\) | −11.3864 | + | 41.0102i | −0.361702 | + | 1.30273i | 0.529185 | + | 0.848506i | \(0.322498\pi\) |
−0.890887 | + | 0.454225i | \(0.849916\pi\) | |||||||
\(992\) | 26.6579 | − | 31.3841i | 0.846389 | − | 0.996447i | ||||
\(993\) | 1.12242 | + | 20.7019i | 0.0356191 | + | 0.656955i | ||||
\(994\) | −1.14334 | + | 0.385235i | −0.0362645 | + | 0.0122189i | ||||
\(995\) | −16.8082 | − | 12.7773i | −0.532857 | − | 0.405067i | ||||
\(996\) | 9.56625 | + | 9.06163i | 0.303118 | + | 0.287129i | ||||
\(997\) | 2.28350 | − | 42.1167i | 0.0723193 | − | 1.33385i | −0.706996 | − | 0.707218i | \(-0.749950\pi\) |
0.779315 | − | 0.626633i | \(-0.215567\pi\) | |||||||
\(998\) | 9.32519 | + | 33.5863i | 0.295184 | + | 1.06316i | ||||
\(999\) | −8.43277 | − | 3.90142i | −0.266801 | − | 0.123435i |
(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 | 177.2.e.a.16.4 | ✓ | 140 | |
3.2 | odd | 2 | 531.2.i.c.370.2 | 140 | |||
59.48 | even | 29 | inner | 177.2.e.a.166.4 | yes | 140 | |
177.107 | odd | 58 | 531.2.i.c.343.2 | 140 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
177.2.e.a.16.4 | ✓ | 140 | 1.1 | even | 1 | trivial | |
177.2.e.a.166.4 | yes | 140 | 59.48 | even | 29 | inner | |
531.2.i.c.343.2 | 140 | 177.107 | odd | 58 | |||
531.2.i.c.370.2 | 140 | 3.2 | odd | 2 |