Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,2,Mod(59,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 5, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.59");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.r (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.39551206064\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(56\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 59.12 | ||
Character | \(\chi\) | \(=\) | 300.59 |
Dual form | 300.2.r.a.239.12 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{7}{10}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.12183 | + | 0.861108i | −0.793250 | + | 0.608896i | ||||
\(3\) | 1.64941 | − | 0.528616i | 0.952289 | − | 0.305197i | ||||
\(4\) | 0.516985 | − | 1.93203i | 0.258492 | − | 0.966013i | ||||
\(5\) | 1.99646 | − | 1.00704i | 0.892845 | − | 0.450363i | ||||
\(6\) | −1.39516 | + | 2.01334i | −0.569571 | + | 0.821942i | ||||
\(7\) | −3.00727 | −1.13664 | −0.568320 | − | 0.822808i | \(-0.692406\pi\) | ||||
−0.568320 | + | 0.822808i | \(0.692406\pi\) | |||||||
\(8\) | 1.08372 | + | 2.61258i | 0.383152 | + | 0.923685i | ||||
\(9\) | 2.44113 | − | 1.74381i | 0.813710 | − | 0.581271i | ||||
\(10\) | −1.37251 | + | 2.84890i | −0.434026 | + | 0.900901i | ||||
\(11\) | 3.97261 | + | 2.88627i | 1.19779 | + | 0.870243i | 0.994065 | − | 0.108786i | \(-0.0346964\pi\) |
0.203721 | + | 0.979029i | \(0.434696\pi\) | |||||||
\(12\) | −0.168579 | − | 3.46000i | −0.0486647 | − | 0.998815i | ||||
\(13\) | −1.00041 | − | 1.37694i | −0.277463 | − | 0.381895i | 0.647429 | − | 0.762126i | \(-0.275844\pi\) |
−0.924891 | + | 0.380231i | \(0.875844\pi\) | |||||||
\(14\) | 3.37363 | − | 2.58958i | 0.901640 | − | 0.692095i | ||||
\(15\) | 2.76065 | − | 2.71639i | 0.712798 | − | 0.701370i | ||||
\(16\) | −3.46545 | − | 1.99766i | −0.866363 | − | 0.499414i | ||||
\(17\) | 1.60705 | − | 4.94599i | 0.389767 | − | 1.19958i | −0.543196 | − | 0.839606i | \(-0.682786\pi\) |
0.932963 | − | 0.359972i | \(-0.117214\pi\) | |||||||
\(18\) | −1.23691 | + | 4.05833i | −0.291542 | + | 0.956558i | ||||
\(19\) | −0.378551 | − | 0.122999i | −0.0868455 | − | 0.0282178i | 0.265272 | − | 0.964174i | \(-0.414538\pi\) |
−0.352117 | + | 0.935956i | \(0.614538\pi\) | |||||||
\(20\) | −0.913494 | − | 4.37785i | −0.204263 | − | 0.978916i | ||||
\(21\) | −4.96022 | + | 1.58969i | −1.08241 | + | 0.346899i | ||||
\(22\) | −6.94196 | + | 0.182957i | −1.48003 | + | 0.0390065i | ||||
\(23\) | −0.680361 | + | 0.936437i | −0.141865 | + | 0.195261i | −0.874037 | − | 0.485859i | \(-0.838507\pi\) |
0.732172 | + | 0.681120i | \(0.238507\pi\) | |||||||
\(24\) | 3.16855 | + | 3.73635i | 0.646777 | + | 0.762679i | ||||
\(25\) | 2.97173 | − | 4.02105i | 0.594346 | − | 0.804210i | ||||
\(26\) | 2.30798 | + | 0.683229i | 0.452631 | + | 0.133992i | ||||
\(27\) | 3.10462 | − | 4.16669i | 0.597485 | − | 0.801880i | ||||
\(28\) | −1.55471 | + | 5.81012i | −0.293813 | + | 1.09801i | ||||
\(29\) | −4.13192 | + | 1.34254i | −0.767278 | + | 0.249304i | −0.666399 | − | 0.745595i | \(-0.732165\pi\) |
−0.100878 | + | 0.994899i | \(0.532165\pi\) | |||||||
\(30\) | −0.757862 | + | 5.42454i | −0.138366 | + | 0.990381i | ||||
\(31\) | 5.06826 | + | 1.64678i | 0.910286 | + | 0.295770i | 0.726476 | − | 0.687192i | \(-0.241157\pi\) |
0.183810 | + | 0.982962i | \(0.441157\pi\) | |||||||
\(32\) | 5.60783 | − | 0.743110i | 0.991334 | − | 0.131365i | ||||
\(33\) | 8.07820 | + | 2.66067i | 1.40623 | + | 0.463162i | ||||
\(34\) | 2.45620 | + | 6.93238i | 0.421235 | + | 1.18889i | ||||
\(35\) | −6.00389 | + | 3.02845i | −1.01484 | + | 0.511901i | ||||
\(36\) | −2.10707 | − | 5.61785i | −0.351178 | − | 0.936309i | ||||
\(37\) | 2.06350 | + | 2.84016i | 0.339237 | + | 0.466919i | 0.944218 | − | 0.329320i | \(-0.106819\pi\) |
−0.604981 | + | 0.796240i | \(0.706819\pi\) | |||||||
\(38\) | 0.530583 | − | 0.187990i | 0.0860719 | − | 0.0304961i | ||||
\(39\) | −2.37796 | − | 1.74231i | −0.380778 | − | 0.278993i | ||||
\(40\) | 4.79458 | + | 4.12456i | 0.758090 | + | 0.652150i | ||||
\(41\) | 6.11829 | + | 8.42111i | 0.955517 | + | 1.31516i | 0.949033 | + | 0.315177i | \(0.102064\pi\) |
0.00648421 | + | 0.999979i | \(0.497936\pi\) | |||||||
\(42\) | 4.19561 | − | 6.05465i | 0.647397 | − | 0.934252i | ||||
\(43\) | −10.9664 | −1.67236 | −0.836181 | − | 0.548454i | \(-0.815217\pi\) | ||||
−0.836181 | + | 0.548454i | \(0.815217\pi\) | |||||||
\(44\) | 7.63012 | − | 6.18303i | 1.15028 | − | 0.932127i | ||||
\(45\) | 3.11753 | − | 5.93978i | 0.464734 | − | 0.885450i | ||||
\(46\) | −0.0431272 | − | 1.63638i | −0.00635875 | − | 0.241272i | ||||
\(47\) | −10.9627 | + | 3.56200i | −1.59907 | + | 0.519570i | −0.966878 | − | 0.255239i | \(-0.917846\pi\) |
−0.632195 | + | 0.774809i | \(0.717846\pi\) | |||||||
\(48\) | −6.77196 | − | 1.46307i | −0.977448 | − | 0.211175i | ||||
\(49\) | 2.04365 | 0.291950 | ||||||||
\(50\) | 0.128800 | + | 7.06989i | 0.0182150 | + | 0.999834i | ||||
\(51\) | 0.0361586 | − | 9.00749i | 0.00506321 | − | 1.26130i | ||||
\(52\) | −3.17748 | + | 1.22095i | −0.440637 | + | 0.169316i | ||||
\(53\) | 2.93358 | + | 9.02864i | 0.402959 | + | 1.24018i | 0.922588 | + | 0.385788i | \(0.126070\pi\) |
−0.519629 | + | 0.854392i | \(0.673930\pi\) | |||||||
\(54\) | 0.105126 | + | 7.34772i | 0.0143058 | + | 0.999898i | ||||
\(55\) | 10.8378 | + | 1.76174i | 1.46136 | + | 0.237553i | ||||
\(56\) | −3.25903 | − | 7.85671i | −0.435506 | − | 1.04990i | ||||
\(57\) | −0.689406 | − | 0.00276747i | −0.0913140 | − | 0.000366560i | ||||
\(58\) | 3.47922 | − | 5.06413i | 0.456843 | − | 0.664952i | ||||
\(59\) | 0.303011 | − | 0.220150i | 0.0394487 | − | 0.0286611i | −0.567886 | − | 0.823107i | \(-0.692239\pi\) |
0.607335 | + | 0.794446i | \(0.292239\pi\) | |||||||
\(60\) | −3.82093 | − | 6.73799i | −0.493280 | − | 0.869871i | ||||
\(61\) | −6.49243 | − | 4.71703i | −0.831270 | − | 0.603953i | 0.0886481 | − | 0.996063i | \(-0.471745\pi\) |
−0.919918 | + | 0.392110i | \(0.871745\pi\) | |||||||
\(62\) | −7.10375 | + | 2.51692i | −0.902178 | + | 0.319650i | ||||
\(63\) | −7.34113 | + | 5.24411i | −0.924895 | + | 0.660696i | ||||
\(64\) | −5.65111 | + | 5.66259i | −0.706389 | + | 0.707824i | ||||
\(65\) | −3.38391 | − | 1.74156i | −0.419723 | − | 0.216014i | ||||
\(66\) | −11.3535 | + | 3.97141i | −1.39751 | + | 0.488846i | ||||
\(67\) | 0.185360 | − | 0.570480i | 0.0226453 | − | 0.0696952i | −0.939095 | − | 0.343657i | \(-0.888334\pi\) |
0.961741 | + | 0.273962i | \(0.0883342\pi\) | |||||||
\(68\) | −8.72496 | − | 5.66186i | −1.05806 | − | 0.686601i | ||||
\(69\) | −0.627181 | + | 1.90422i | −0.0755037 | + | 0.229241i | ||||
\(70\) | 4.12750 | − | 8.56739i | 0.493331 | − | 1.02400i | ||||
\(71\) | −2.83271 | − | 8.71817i | −0.336180 | − | 1.03466i | −0.966138 | − | 0.258027i | \(-0.916928\pi\) |
0.629957 | − | 0.776630i | \(-0.283072\pi\) | |||||||
\(72\) | 7.20134 | + | 4.48784i | 0.848686 | + | 0.528897i | ||||
\(73\) | −6.41908 | + | 8.83511i | −0.751297 | + | 1.03407i | 0.246592 | + | 0.969120i | \(0.420689\pi\) |
−0.997888 | + | 0.0649519i | \(0.979311\pi\) | |||||||
\(74\) | −4.76057 | − | 1.40927i | −0.553405 | − | 0.163824i | ||||
\(75\) | 2.77602 | − | 8.20328i | 0.320547 | − | 0.947233i | ||||
\(76\) | −0.433342 | + | 0.667782i | −0.0497077 | + | 0.0765998i | ||||
\(77\) | −11.9467 | − | 8.67978i | −1.36145 | − | 0.989152i | ||||
\(78\) | 4.16797 | − | 0.0931064i | 0.471930 | − | 0.0105422i | ||||
\(79\) | 2.30660 | − | 0.749460i | 0.259513 | − | 0.0843208i | −0.176371 | − | 0.984324i | \(-0.556436\pi\) |
0.435884 | + | 0.900003i | \(0.356436\pi\) | |||||||
\(80\) | −8.93038 | − | 0.498384i | −0.998446 | − | 0.0557210i | ||||
\(81\) | 2.91823 | − | 8.51375i | 0.324248 | − | 0.945972i | ||||
\(82\) | −14.1151 | − | 4.17850i | −1.55876 | − | 0.461438i | ||||
\(83\) | 0.583515 | + | 0.189595i | 0.0640491 | + | 0.0208108i | 0.340866 | − | 0.940112i | \(-0.389280\pi\) |
−0.276817 | + | 0.960923i | \(0.589280\pi\) | |||||||
\(84\) | 0.506963 | + | 10.4051i | 0.0553142 | + | 1.13529i | ||||
\(85\) | −1.77241 | − | 11.4928i | −0.192245 | − | 1.24657i | ||||
\(86\) | 12.3024 | − | 9.44326i | 1.32660 | − | 1.01829i | ||||
\(87\) | −6.10555 | + | 4.39860i | −0.654584 | + | 0.471580i | ||||
\(88\) | −3.23541 | + | 13.5066i | −0.344896 | + | 1.43981i | ||||
\(89\) | −2.36033 | + | 3.24871i | −0.250194 | + | 0.344363i | −0.915579 | − | 0.402137i | \(-0.868267\pi\) |
0.665385 | + | 0.746500i | \(0.268267\pi\) | |||||||
\(90\) | 1.61747 | + | 9.34793i | 0.170497 | + | 0.985358i | ||||
\(91\) | 3.00849 | + | 4.14083i | 0.315375 | + | 0.434076i | ||||
\(92\) | 1.45748 | + | 1.79860i | 0.151953 | + | 0.187517i | ||||
\(93\) | 9.23017 | + | 0.0370524i | 0.957124 | + | 0.00384216i | ||||
\(94\) | 9.23096 | − | 13.4360i | 0.952101 | − | 1.38582i | ||||
\(95\) | −0.879628 | + | 0.135655i | −0.0902479 | + | 0.0139179i | ||||
\(96\) | 8.85681 | − | 4.19009i | 0.903945 | − | 0.427649i | ||||
\(97\) | −3.41159 | + | 1.10849i | −0.346395 | + | 0.112550i | −0.477047 | − | 0.878878i | \(-0.658293\pi\) |
0.130652 | + | 0.991428i | \(0.458293\pi\) | |||||||
\(98\) | −2.29262 | + | 1.75980i | −0.231589 | + | 0.177767i | ||||
\(99\) | 14.7308 | + | 0.118269i | 1.48050 | + | 0.0118864i | ||||
\(100\) | −6.23244 | − | 7.82028i | −0.623244 | − | 0.782028i | ||||
\(101\) | 10.6388i | 1.05860i | 0.848435 | + | 0.529299i | \(0.177545\pi\) | ||||
−0.848435 | + | 0.529299i | \(0.822455\pi\) | |||||||
\(102\) | 7.71586 | + | 10.1360i | 0.763984 | + | 1.00361i | ||||
\(103\) | −1.21074 | − | 3.72627i | −0.119297 | − | 0.367160i | 0.873522 | − | 0.486785i | \(-0.161831\pi\) |
−0.992819 | + | 0.119625i | \(0.961831\pi\) | |||||||
\(104\) | 2.51320 | − | 4.10585i | 0.246440 | − | 0.402612i | ||||
\(105\) | −8.30202 | + | 8.16892i | −0.810194 | + | 0.797205i | ||||
\(106\) | −11.0656 | − | 7.60243i | −1.07479 | − | 0.738413i | ||||
\(107\) | 8.18685i | 0.791453i | 0.918369 | + | 0.395726i | \(0.129507\pi\) | ||||
−0.918369 | + | 0.395726i | \(0.870493\pi\) | |||||||
\(108\) | −6.44511 | − | 8.15233i | −0.620181 | − | 0.784458i | ||||
\(109\) | −4.70187 | + | 3.41611i | −0.450358 | + | 0.327204i | −0.789737 | − | 0.613445i | \(-0.789783\pi\) |
0.339379 | + | 0.940650i | \(0.389783\pi\) | |||||||
\(110\) | −13.6751 | + | 7.35612i | −1.30387 | + | 0.701379i | ||||
\(111\) | 4.90492 | + | 3.59380i | 0.465554 | + | 0.341108i | ||||
\(112\) | 10.4215 | + | 6.00748i | 0.984743 | + | 0.567654i | ||||
\(113\) | 10.1280 | − | 7.35842i | 0.952762 | − | 0.692222i | 0.00130374 | − | 0.999999i | \(-0.499585\pi\) |
0.951459 | + | 0.307777i | \(0.0995850\pi\) | |||||||
\(114\) | 0.775776 | − | 0.590549i | 0.0726581 | − | 0.0553099i | ||||
\(115\) | −0.415283 | + | 2.55471i | −0.0387254 | + | 0.238228i | ||||
\(116\) | 0.457688 | + | 8.67705i | 0.0424953 | + | 0.805644i | ||||
\(117\) | −4.84325 | − | 1.61677i | −0.447758 | − | 0.149470i | ||||
\(118\) | −0.150352 | + | 0.507896i | −0.0138410 | + | 0.0467556i | ||||
\(119\) | −4.83282 | + | 14.8739i | −0.443024 | + | 1.36349i | ||||
\(120\) | 10.0886 | + | 4.26861i | 0.920955 | + | 0.389669i | ||||
\(121\) | 4.05188 | + | 12.4704i | 0.368353 | + | 1.13367i | ||||
\(122\) | 11.3452 | − | 0.299006i | 1.02715 | − | 0.0270707i | ||||
\(123\) | 14.5431 | + | 10.6557i | 1.31131 | + | 0.960789i | ||||
\(124\) | 5.80183 | − | 8.94065i | 0.521020 | − | 0.802894i | ||||
\(125\) | 1.88357 | − | 11.0205i | 0.168472 | − | 0.985706i | ||||
\(126\) | 3.71971 | − | 12.2045i | 0.331378 | − | 1.08726i | ||||
\(127\) | −6.51733 | − | 4.73512i | −0.578319 | − | 0.420174i | 0.259799 | − | 0.965663i | \(-0.416344\pi\) |
−0.838118 | + | 0.545489i | \(0.816344\pi\) | |||||||
\(128\) | 1.46345 | − | 11.2187i | 0.129352 | − | 0.991599i | ||||
\(129\) | −18.0881 | + | 5.79702i | −1.59257 | + | 0.510399i | ||||
\(130\) | 5.29583 | − | 0.960190i | 0.464475 | − | 0.0842142i | ||||
\(131\) | 1.23161 | − | 3.79050i | 0.107606 | − | 0.331178i | −0.882727 | − | 0.469886i | \(-0.844295\pi\) |
0.990333 | + | 0.138708i | \(0.0442950\pi\) | |||||||
\(132\) | 9.31678 | − | 14.2318i | 0.810922 | − | 1.23872i | ||||
\(133\) | 1.13840 | + | 0.369890i | 0.0987121 | + | 0.0320735i | ||||
\(134\) | 0.283303 | + | 0.799594i | 0.0244737 | + | 0.0690744i | ||||
\(135\) | 2.00223 | − | 11.4451i | 0.172324 | − | 0.985040i | ||||
\(136\) | 14.6634 | − | 1.16152i | 1.25737 | − | 0.0995993i | ||||
\(137\) | −5.45028 | + | 3.95986i | −0.465649 | + | 0.338314i | −0.795743 | − | 0.605634i | \(-0.792919\pi\) |
0.330094 | + | 0.943948i | \(0.392919\pi\) | |||||||
\(138\) | −0.936153 | − | 2.67628i | −0.0796907 | − | 0.227820i | ||||
\(139\) | −6.84697 | + | 9.42404i | −0.580752 | + | 0.799337i | −0.993778 | − | 0.111383i | \(-0.964472\pi\) |
0.413025 | + | 0.910720i | \(0.364472\pi\) | |||||||
\(140\) | 2.74712 | + | 13.1653i | 0.232174 | + | 1.11267i | ||||
\(141\) | −16.1991 | + | 11.6703i | −1.36421 | + | 0.982813i | ||||
\(142\) | 10.6851 | + | 7.34100i | 0.896673 | + | 0.616043i | ||||
\(143\) | − | 8.35748i | − | 0.698888i | ||||||
\(144\) | −11.9432 | + | 1.16657i | −0.995264 | + | 0.0972140i | ||||
\(145\) | −6.89722 | + | 6.84135i | −0.572783 | + | 0.568143i | ||||
\(146\) | −0.406897 | − | 15.4390i | −0.0336750 | − | 1.27774i | ||||
\(147\) | 3.37082 | − | 1.08031i | 0.278021 | − | 0.0891021i | ||||
\(148\) | 6.55406 | − | 2.51841i | 0.538741 | − | 0.207012i | ||||
\(149\) | − | 8.04254i | − | 0.658871i | −0.944178 | − | 0.329435i | \(-0.893142\pi\) | ||
0.944178 | − | 0.329435i | \(-0.106858\pi\) | |||||||
\(150\) | 3.94970 | + | 11.5931i | 0.322492 | + | 0.946572i | ||||
\(151\) | − | 5.58358i | − | 0.454386i | −0.973850 | − | 0.227193i | \(-0.927045\pi\) | ||
0.973850 | − | 0.227193i | \(-0.0729548\pi\) | |||||||
\(152\) | −0.0888991 | − | 1.12229i | −0.00721067 | − | 0.0910296i | ||||
\(153\) | −4.70187 | − | 14.8762i | −0.380123 | − | 1.20267i | ||||
\(154\) | 20.8763 | − | 0.550199i | 1.68226 | − | 0.0443363i | ||||
\(155\) | 11.7770 | − | 1.81623i | 0.945949 | − | 0.145883i | ||||
\(156\) | −4.59556 | + | 3.69352i | −0.367939 | + | 0.295719i | ||||
\(157\) | 10.5661i | 0.843264i | 0.906767 | + | 0.421632i | \(0.138543\pi\) | ||||
−0.906767 | + | 0.421632i | \(0.861457\pi\) | |||||||
\(158\) | −1.94224 | + | 2.82700i | −0.154516 | + | 0.224904i | ||||
\(159\) | 9.61138 | + | 13.3412i | 0.762232 | + | 1.05803i | ||||
\(160\) | 10.4475 | − | 7.13092i | 0.825946 | − | 0.563749i | ||||
\(161\) | 2.04603 | − | 2.81611i | 0.161250 | − | 0.221941i | ||||
\(162\) | 4.05752 | + | 12.0639i | 0.318789 | + | 0.947826i | ||||
\(163\) | 11.6419 | − | 8.45837i | 0.911867 | − | 0.662510i | −0.0296191 | − | 0.999561i | \(-0.509429\pi\) |
0.941486 | + | 0.337051i | \(0.109429\pi\) | |||||||
\(164\) | 19.4329 | − | 7.46712i | 1.51745 | − | 0.583084i | ||||
\(165\) | 18.8072 | − | 2.82318i | 1.46414 | − | 0.219784i | ||||
\(166\) | −0.817864 | + | 0.289776i | −0.0634785 | + | 0.0224910i | ||||
\(167\) | 10.3176 | + | 3.35241i | 0.798403 | + | 0.259417i | 0.679678 | − | 0.733510i | \(-0.262119\pi\) |
0.118725 | + | 0.992927i | \(0.462119\pi\) | |||||||
\(168\) | −9.52867 | − | 11.2362i | −0.735153 | − | 0.866891i | ||||
\(169\) | 3.12207 | − | 9.60874i | 0.240159 | − | 0.739134i | ||||
\(170\) | 11.8849 | + | 11.3667i | 0.911532 | + | 0.871788i | ||||
\(171\) | −1.13858 | + | 0.359866i | −0.0870693 | + | 0.0275197i | ||||
\(172\) | −5.66946 | + | 21.1874i | −0.432292 | + | 1.61552i | ||||
\(173\) | 20.7313 | + | 15.0622i | 1.57617 | + | 1.14515i | 0.920926 | + | 0.389738i | \(0.127434\pi\) |
0.655245 | + | 0.755417i | \(0.272566\pi\) | |||||||
\(174\) | 3.06169 | − | 10.1920i | 0.232106 | − | 0.772654i | ||||
\(175\) | −8.93677 | + | 12.0924i | −0.675557 | + | 0.914097i | ||||
\(176\) | −8.00112 | − | 17.9381i | −0.603107 | − | 1.35214i | ||||
\(177\) | 0.383415 | − | 0.523296i | 0.0288193 | − | 0.0393333i | ||||
\(178\) | −0.149618 | − | 5.67699i | −0.0112143 | − | 0.425508i | ||||
\(179\) | −1.83074 | − | 5.63445i | −0.136836 | − | 0.421138i | 0.859035 | − | 0.511917i | \(-0.171064\pi\) |
−0.995871 | + | 0.0907786i | \(0.971064\pi\) | |||||||
\(180\) | −9.86410 | − | 9.09392i | −0.735227 | − | 0.677821i | ||||
\(181\) | 2.15169 | − | 6.62223i | 0.159934 | − | 0.492226i | −0.838693 | − | 0.544604i | \(-0.816680\pi\) |
0.998627 | + | 0.0523777i | \(0.0166800\pi\) | |||||||
\(182\) | −6.94070 | − | 2.05465i | −0.514479 | − | 0.152301i | ||||
\(183\) | −13.2022 | − | 4.34832i | −0.975934 | − | 0.321437i | ||||
\(184\) | −3.18383 | − | 0.762662i | −0.234715 | − | 0.0562242i | ||||
\(185\) | 6.97986 | + | 3.59224i | 0.513170 | + | 0.264107i | ||||
\(186\) | −10.3865 | + | 7.90661i | −0.761578 | + | 0.579741i | ||||
\(187\) | 20.6596 | − | 15.0101i | 1.51078 | − | 1.09765i | ||||
\(188\) | 1.21433 | + | 23.0217i | 0.0885638 | + | 1.67903i | ||||
\(189\) | −9.33643 | + | 12.5303i | −0.679125 | + | 0.911449i | ||||
\(190\) | 0.869975 | − | 0.909636i | 0.0631146 | − | 0.0659919i | ||||
\(191\) | −17.2162 | + | 12.5083i | −1.24572 | + | 0.905070i | −0.997966 | − | 0.0637519i | \(-0.979693\pi\) |
−0.247757 | + | 0.968822i | \(0.579693\pi\) | |||||||
\(192\) | −6.32768 | + | 12.3272i | −0.456661 | + | 0.889641i | ||||
\(193\) | − | 11.8846i | − | 0.855470i | −0.903904 | − | 0.427735i | \(-0.859312\pi\) | ||
0.903904 | − | 0.427735i | \(-0.140688\pi\) | |||||||
\(194\) | 2.87268 | − | 4.18129i | 0.206246 | − | 0.300199i | ||||
\(195\) | −6.50209 | − | 1.08376i | −0.465624 | − | 0.0776096i | ||||
\(196\) | 1.05653 | − | 3.94838i | 0.0754667 | − | 0.282027i | ||||
\(197\) | −3.89079 | − | 11.9746i | −0.277207 | − | 0.853156i | −0.988627 | − | 0.150388i | \(-0.951948\pi\) |
0.711420 | − | 0.702767i | \(-0.248052\pi\) | |||||||
\(198\) | −16.6272 | + | 12.5521i | −1.18164 | + | 0.892040i | ||||
\(199\) | − | 5.65748i | − | 0.401048i | −0.979689 | − | 0.200524i | \(-0.935735\pi\) | ||
0.979689 | − | 0.200524i | \(-0.0642645\pi\) | |||||||
\(200\) | 13.7258 | + | 3.40618i | 0.970561 | + | 0.240853i | ||||
\(201\) | 0.00417060 | − | 1.03894i | 0.000294171 | − | 0.0732813i | ||||
\(202\) | −9.16114 | − | 11.9348i | −0.644576 | − | 0.839733i | ||||
\(203\) | 12.4258 | − | 4.03738i | 0.872118 | − | 0.283368i | ||||
\(204\) | −17.3840 | − | 4.72659i | −1.21712 | − | 0.330928i | ||||
\(205\) | 20.6954 | + | 10.6510i | 1.44543 | + | 0.743901i | ||||
\(206\) | 4.56696 | + | 3.13764i | 0.318195 | + | 0.218610i | ||||
\(207\) | −0.0278787 | + | 3.47239i | −0.00193770 | + | 0.241348i | ||||
\(208\) | 0.716207 | + | 6.77019i | 0.0496600 | + | 0.469428i | ||||
\(209\) | −1.14883 | − | 1.58122i | −0.0794660 | − | 0.109376i | ||||
\(210\) | 2.27909 | − | 16.3130i | 0.157272 | − | 1.12571i | ||||
\(211\) | −7.55596 | + | 10.3999i | −0.520174 | + | 0.715958i | −0.985593 | − | 0.169132i | \(-0.945903\pi\) |
0.465420 | + | 0.885090i | \(0.345903\pi\) | |||||||
\(212\) | 18.9602 | − | 1.00009i | 1.30219 | − | 0.0686867i | ||||
\(213\) | −9.28087 | − | 12.8825i | −0.635915 | − | 0.882691i | ||||
\(214\) | −7.04976 | − | 9.18422i | −0.481912 | − | 0.627820i | ||||
\(215\) | −21.8940 | + | 11.0436i | −1.49316 | + | 0.753170i | ||||
\(216\) | 14.2503 | + | 3.59555i | 0.969612 | + | 0.244646i | ||||
\(217\) | −15.2416 | − | 4.95230i | −1.03467 | − | 0.336184i | ||||
\(218\) | 2.33304 | − | 7.88110i | 0.158013 | − | 0.533776i | ||||
\(219\) | −5.91734 | + | 17.9660i | −0.399857 | + | 1.21403i | ||||
\(220\) | 9.00668 | − | 20.0281i | 0.607230 | − | 1.35029i | ||||
\(221\) | −8.41803 | + | 2.73518i | −0.566258 | + | 0.183988i | ||||
\(222\) | −8.59711 | + | 0.192047i | −0.577000 | + | 0.0128893i | ||||
\(223\) | −2.79547 | − | 2.03103i | −0.187199 | − | 0.136008i | 0.490239 | − | 0.871588i | \(-0.336910\pi\) |
−0.677438 | + | 0.735580i | \(0.736910\pi\) | |||||||
\(224\) | −16.8642 | + | 2.23473i | −1.12679 | + | 0.149314i | ||||
\(225\) | 0.242413 | − | 14.9980i | 0.0161609 | − | 0.999869i | ||||
\(226\) | −5.02545 | + | 16.9762i | −0.334288 | + | 1.12924i | ||||
\(227\) | 0.351048 | − | 0.483176i | 0.0232999 | − | 0.0320695i | −0.797208 | − | 0.603705i | \(-0.793691\pi\) |
0.820508 | + | 0.571635i | \(0.193691\pi\) | |||||||
\(228\) | −0.361759 | + | 1.33052i | −0.0239581 | + | 0.0881158i | ||||
\(229\) | 3.04992 | + | 9.38669i | 0.201544 | + | 0.620290i | 0.999838 | + | 0.0180210i | \(0.00573658\pi\) |
−0.798293 | + | 0.602269i | \(0.794263\pi\) | |||||||
\(230\) | −1.73401 | − | 3.22355i | −0.114337 | − | 0.212554i | ||||
\(231\) | −24.2933 | − | 8.00133i | −1.59838 | − | 0.526449i | ||||
\(232\) | −7.98532 | − | 9.34001i | −0.524262 | − | 0.613202i | ||||
\(233\) | −4.44821 | + | 13.6902i | −0.291412 | + | 0.896874i | 0.692991 | + | 0.720946i | \(0.256293\pi\) |
−0.984403 | + | 0.175928i | \(0.943707\pi\) | |||||||
\(234\) | 6.82549 | − | 2.35683i | 0.446196 | − | 0.154071i | ||||
\(235\) | −18.2995 | + | 18.1513i | −1.19373 | + | 1.18406i | ||||
\(236\) | −0.268684 | − | 0.699240i | −0.0174899 | − | 0.0455166i | ||||
\(237\) | 3.40836 | − | 2.45547i | 0.221397 | − | 0.159500i | ||||
\(238\) | −7.38646 | − | 20.8475i | −0.478793 | − | 1.35134i | ||||
\(239\) | −14.8081 | − | 10.7587i | −0.957854 | − | 0.695921i | −0.00520227 | − | 0.999986i | \(-0.501656\pi\) |
−0.952651 | + | 0.304065i | \(0.901656\pi\) | |||||||
\(240\) | −14.9933 | + | 3.89870i | −0.967816 | + | 0.251660i | ||||
\(241\) | 6.23479 | − | 4.52984i | 0.401618 | − | 0.291793i | −0.368582 | − | 0.929595i | \(-0.620156\pi\) |
0.770200 | + | 0.637803i | \(0.220156\pi\) | |||||||
\(242\) | −15.2839 | − | 10.5005i | −0.982484 | − | 0.674998i | ||||
\(243\) | 0.312859 | − | 15.5853i | 0.0200699 | − | 0.999799i | ||||
\(244\) | −12.4699 | + | 10.1049i | −0.798304 | + | 0.646901i | ||||
\(245\) | 4.08007 | − | 2.05804i | 0.260666 | − | 0.131483i | ||||
\(246\) | −25.4905 | + | 0.569421i | −1.62522 | + | 0.0363050i | ||||
\(247\) | 0.209343 | + | 0.644290i | 0.0133202 | + | 0.0409952i | ||||
\(248\) | 1.19023 | + | 15.0259i | 0.0755798 | + | 0.954143i | ||||
\(249\) | 1.06268 | + | 0.00426589i | 0.0673446 | + | 0.000270340i | ||||
\(250\) | 7.37683 | + | 13.9851i | 0.466552 | + | 0.884494i | ||||
\(251\) | 28.3191 | 1.78749 | 0.893743 | − | 0.448579i | \(-0.148070\pi\) | ||||
0.893743 | + | 0.448579i | \(0.148070\pi\) | |||||||
\(252\) | 6.33651 | + | 16.8944i | 0.399163 | + | 1.06425i | ||||
\(253\) | −5.40562 | + | 1.75639i | −0.339848 | + | 0.110423i | ||||
\(254\) | 11.3888 | − | 0.300153i | 0.714594 | − | 0.0188332i | ||||
\(255\) | −8.99874 | − | 18.0195i | −0.563523 | − | 1.12843i | ||||
\(256\) | 8.01874 | + | 13.8456i | 0.501171 | + | 0.865348i | ||||
\(257\) | −3.39445 | −0.211740 | −0.105870 | − | 0.994380i | \(-0.533763\pi\) | ||||
−0.105870 | + | 0.994380i | \(0.533763\pi\) | |||||||
\(258\) | 15.2999 | − | 22.0791i | 0.952528 | − | 1.37458i | ||||
\(259\) | −6.20549 | − | 8.54112i | −0.385590 | − | 0.530719i | ||||
\(260\) | −5.11417 | + | 5.63745i | −0.317167 | + | 0.349620i | ||||
\(261\) | −7.74540 | + | 10.4826i | −0.479428 | + | 0.648857i | ||||
\(262\) | 1.88238 | + | 5.31283i | 0.116294 | + | 0.328228i | ||||
\(263\) | 7.03234 | + | 9.67919i | 0.433633 | + | 0.596844i | 0.968782 | − | 0.247913i | \(-0.0797447\pi\) |
−0.535150 | + | 0.844757i | \(0.679745\pi\) | |||||||
\(264\) | 1.80330 | + | 23.9883i | 0.110986 | + | 1.47638i | ||||
\(265\) | 14.9490 | + | 15.0711i | 0.918311 | + | 0.925811i | ||||
\(266\) | −1.59560 | + | 0.565337i | −0.0978328 | + | 0.0346630i | ||||
\(267\) | −2.17584 | + | 6.60618i | −0.133159 | + | 0.404292i | ||||
\(268\) | −1.00635 | − | 0.653050i | −0.0614728 | − | 0.0398914i | ||||
\(269\) | −21.2551 | − | 6.90619i | −1.29594 | − | 0.421078i | −0.421775 | − | 0.906700i | \(-0.638593\pi\) |
−0.874169 | + | 0.485623i | \(0.838593\pi\) | |||||||
\(270\) | 7.60935 | + | 14.5636i | 0.463090 | + | 0.886311i | ||||
\(271\) | 3.48491 | − | 1.13232i | 0.211693 | − | 0.0687833i | −0.201251 | − | 0.979540i | \(-0.564501\pi\) |
0.412944 | + | 0.910756i | \(0.364501\pi\) | |||||||
\(272\) | −15.4495 | + | 13.9298i | −0.936766 | + | 0.844616i | ||||
\(273\) | 7.15115 | + | 5.23960i | 0.432807 | + | 0.317115i | ||||
\(274\) | 2.70439 | − | 9.13556i | 0.163378 | − | 0.551899i | ||||
\(275\) | 23.4113 | − | 7.39685i | 1.41176 | − | 0.446047i | ||||
\(276\) | 3.35476 | + | 2.19618i | 0.201933 | + | 0.132195i | ||||
\(277\) | 15.1007 | − | 20.7843i | 0.907313 | − | 1.24881i | −0.0607623 | − | 0.998152i | \(-0.519353\pi\) |
0.968076 | − | 0.250658i | \(-0.0806468\pi\) | |||||||
\(278\) | −0.434020 | − | 16.4681i | −0.0260308 | − | 0.987692i | ||||
\(279\) | 15.2439 | − | 4.81810i | 0.912631 | − | 0.288452i | ||||
\(280\) | −14.4186 | − | 12.4037i | −0.861675 | − | 0.741260i | ||||
\(281\) | 5.60466 | + | 1.82106i | 0.334346 | + | 0.108636i | 0.471379 | − | 0.881931i | \(-0.343757\pi\) |
−0.137033 | + | 0.990567i | \(0.543757\pi\) | |||||||
\(282\) | 8.12319 | − | 27.0412i | 0.483729 | − | 1.61028i | ||||
\(283\) | 8.34697 | − | 25.6893i | 0.496176 | − | 1.52707i | −0.318941 | − | 0.947775i | \(-0.603327\pi\) |
0.815116 | − | 0.579297i | \(-0.196673\pi\) | |||||||
\(284\) | −18.3082 | + | 0.965703i | −1.08639 | + | 0.0573039i | ||||
\(285\) | −1.37916 | + | 0.688736i | −0.0816944 | + | 0.0407972i | ||||
\(286\) | 7.19670 | + | 9.37564i | 0.425550 | + | 0.554393i | ||||
\(287\) | −18.3993 | − | 25.3245i | −1.08608 | − | 1.49486i | ||||
\(288\) | 12.3936 | − | 11.5930i | 0.730300 | − | 0.683127i | ||||
\(289\) | −8.12690 | − | 5.90454i | −0.478053 | − | 0.347326i | ||||
\(290\) | 1.84633 | − | 13.6141i | 0.108420 | − | 0.799445i | ||||
\(291\) | −5.04116 | + | 3.63179i | −0.295518 | + | 0.212899i | ||||
\(292\) | 13.7511 | + | 16.9695i | 0.804722 | + | 0.993062i | ||||
\(293\) | −19.0913 | −1.11533 | −0.557663 | − | 0.830068i | \(-0.688302\pi\) | ||||
−0.557663 | + | 0.830068i | \(0.688302\pi\) | |||||||
\(294\) | −2.85121 | + | 4.11456i | −0.166286 | + | 0.239966i | ||||
\(295\) | 0.383249 | − | 0.744667i | 0.0223136 | − | 0.0433562i | ||||
\(296\) | −5.18389 | + | 8.46898i | −0.301307 | + | 0.492249i | ||||
\(297\) | 24.3596 | − | 7.59185i | 1.41349 | − | 0.440524i | ||||
\(298\) | 6.92550 | + | 9.02233i | 0.401183 | + | 0.522649i | ||||
\(299\) | 1.97005 | 0.113931 | ||||||||
\(300\) | −14.4138 | − | 9.60430i | −0.832181 | − | 0.554505i | ||||
\(301\) | 32.9789 | 1.90087 | ||||||||
\(302\) | 4.80807 | + | 6.26381i | 0.276673 | + | 0.360442i | ||||
\(303\) | 5.62383 | + | 17.5477i | 0.323081 | + | 1.00809i | ||||
\(304\) | 1.06614 | + | 1.18246i | 0.0611474 | + | 0.0678188i | ||||
\(305\) | −17.7121 | − | 2.87921i | −1.01419 | − | 0.164863i | ||||
\(306\) | 18.0847 | + | 12.6397i | 1.03383 | + | 0.722562i | ||||
\(307\) | 25.6193 | 1.46217 | 0.731085 | − | 0.682286i | \(-0.239014\pi\) | ||||
0.731085 | + | 0.682286i | \(0.239014\pi\) | |||||||
\(308\) | −22.9458 | + | 18.5940i | −1.30746 | + | 1.05949i | ||||
\(309\) | −3.96677 | − | 5.50614i | −0.225662 | − | 0.313233i | ||||
\(310\) | −11.6477 | + | 12.1787i | −0.661547 | + | 0.691706i | ||||
\(311\) | 8.18942 | + | 5.94996i | 0.464380 | + | 0.337391i | 0.795247 | − | 0.606286i | \(-0.207341\pi\) |
−0.330867 | + | 0.943677i | \(0.607341\pi\) | |||||||
\(312\) | 1.97489 | − | 8.10077i | 0.111806 | − | 0.458616i | ||||
\(313\) | 12.1594 | + | 16.7359i | 0.687287 | + | 0.945970i | 0.999992 | − | 0.00388029i | \(-0.00123514\pi\) |
−0.312705 | + | 0.949850i | \(0.601235\pi\) | |||||||
\(314\) | −9.09853 | − | 11.8533i | −0.513460 | − | 0.668919i | ||||
\(315\) | −9.37524 | + | 17.8625i | −0.528235 | + | 1.00644i | ||||
\(316\) | −0.255500 | − | 4.84387i | −0.0143730 | − | 0.272489i | ||||
\(317\) | 5.85309 | − | 18.0140i | 0.328742 | − | 1.01177i | −0.640980 | − | 0.767557i | \(-0.721472\pi\) |
0.969723 | − | 0.244208i | \(-0.0785279\pi\) | |||||||
\(318\) | −22.2705 | − | 6.69009i | −1.24887 | − | 0.375161i | ||||
\(319\) | −20.2894 | − | 6.59243i | −1.13599 | − | 0.369105i | ||||
\(320\) | −5.57976 | + | 16.9961i | −0.311918 | + | 0.950109i | ||||
\(321\) | 4.32770 | + | 13.5035i | 0.241549 | + | 0.753692i | ||||
\(322\) | 0.129695 | + | 4.92104i | 0.00722761 | + | 0.274239i | ||||
\(323\) | −1.21670 | + | 1.67464i | −0.0676990 | + | 0.0931796i | ||||
\(324\) | −14.9401 | − | 10.0396i | −0.830006 | − | 0.557754i | ||||
\(325\) | −8.50968 | − | 0.0692112i | −0.472032 | − | 0.00383915i | ||||
\(326\) | −5.77666 | + | 19.5138i | −0.319939 | + | 1.08077i | ||||
\(327\) | −5.94952 | + | 8.12007i | −0.329009 | + | 0.449041i | ||||
\(328\) | −15.3703 | + | 25.1106i | −0.848682 | + | 1.38650i | ||||
\(329\) | 32.9677 | − | 10.7119i | 1.81757 | − | 0.590564i | ||||
\(330\) | −18.6674 | + | 19.3622i | −1.02760 | + | 1.06585i | ||||
\(331\) | 13.6393 | + | 4.43167i | 0.749683 | + | 0.243587i | 0.658845 | − | 0.752279i | \(-0.271045\pi\) |
0.0908381 | + | 0.995866i | \(0.471045\pi\) | |||||||
\(332\) | 0.667971 | − | 1.02935i | 0.0366597 | − | 0.0564928i | ||||
\(333\) | 9.98997 | + | 3.33485i | 0.547447 | + | 0.182748i | ||||
\(334\) | −14.4614 | + | 5.12380i | −0.791291 | + | 0.280362i | ||||
\(335\) | −0.204433 | − | 1.32561i | −0.0111694 | − | 0.0724257i | ||||
\(336\) | 20.3651 | + | 4.39983i | 1.11101 | + | 0.240030i | ||||
\(337\) | −12.8844 | − | 17.7338i | −0.701857 | − | 0.966023i | −0.999934 | − | 0.0114815i | \(-0.996345\pi\) |
0.298077 | − | 0.954542i | \(-0.403655\pi\) | |||||||
\(338\) | 4.77175 | + | 13.4678i | 0.259549 | + | 0.732550i | ||||
\(339\) | 12.8155 | − | 17.4909i | 0.696041 | − | 0.949976i | ||||
\(340\) | −23.1208 | − | 2.51728i | −1.25390 | − | 0.136519i | ||||
\(341\) | 15.3812 | + | 21.1704i | 0.832937 | + | 1.14644i | ||||
\(342\) | 0.967402 | − | 1.38415i | 0.0523111 | − | 0.0748461i | ||||
\(343\) | 14.9051 | 0.804798 | ||||||||
\(344\) | −11.8845 | − | 28.6506i | −0.640769 | − | 1.54474i | ||||
\(345\) | 0.665490 | + | 4.43331i | 0.0358288 | + | 0.238681i | ||||
\(346\) | −36.2270 | + | 0.954770i | −1.94758 | + | 0.0513287i | ||||
\(347\) | 0.270348 | − | 0.0878413i | 0.0145130 | − | 0.00471557i | −0.301751 | − | 0.953387i | \(-0.597571\pi\) |
0.316265 | + | 0.948671i | \(0.397571\pi\) | |||||||
\(348\) | 5.34174 | + | 14.0701i | 0.286348 | + | 0.754236i | ||||
\(349\) | 9.93726 | 0.531930 | 0.265965 | − | 0.963983i | \(-0.414310\pi\) | ||||
0.265965 | + | 0.963983i | \(0.414310\pi\) | |||||||
\(350\) | −0.387335 | − | 21.2611i | −0.0207039 | − | 1.13645i | ||||
\(351\) | −8.84317 | − | 0.106501i | −0.472013 | − | 0.00568462i | ||||
\(352\) | 24.4225 | + | 13.2336i | 1.30173 | + | 0.705355i | ||||
\(353\) | −0.0254850 | − | 0.0784348i | −0.00135643 | − | 0.00417466i | 0.950376 | − | 0.311104i | \(-0.100699\pi\) |
−0.951732 | + | 0.306929i | \(0.900699\pi\) | |||||||
\(354\) | 0.0204891 | + | 0.917208i | 0.00108898 | + | 0.0487491i | ||||
\(355\) | −14.4350 | − | 14.5528i | −0.766128 | − | 0.772385i | ||||
\(356\) | 5.05635 | + | 6.23975i | 0.267986 | + | 0.330706i | ||||
\(357\) | −0.108738 | + | 27.0879i | −0.00575505 | + | 1.43364i | ||||
\(358\) | 6.90564 | + | 4.74440i | 0.364975 | + | 0.250749i | ||||
\(359\) | 19.1281 | − | 13.8973i | 1.00954 | − | 0.733474i | 0.0454277 | − | 0.998968i | \(-0.485535\pi\) |
0.964113 | + | 0.265494i | \(0.0855349\pi\) | |||||||
\(360\) | 18.8967 | + | 1.70773i | 0.995941 | + | 0.0900055i | ||||
\(361\) | −15.2432 | − | 11.0748i | −0.802271 | − | 0.582884i | ||||
\(362\) | 3.28863 | + | 9.28182i | 0.172847 | + | 0.487842i | ||||
\(363\) | 13.2753 | + | 18.4270i | 0.696772 | + | 0.967165i | ||||
\(364\) | 9.55553 | − | 3.67173i | 0.500846 | − | 0.192451i | ||||
\(365\) | −3.91812 | + | 24.1033i | −0.205084 | + | 1.26162i | ||||
\(366\) | 18.5549 | − | 6.49046i | 0.969882 | − | 0.339262i | ||||
\(367\) | −1.36280 | + | 4.19427i | −0.0711377 | + | 0.218939i | −0.980304 | − | 0.197493i | \(-0.936720\pi\) |
0.909167 | + | 0.416433i | \(0.136720\pi\) | |||||||
\(368\) | 4.22844 | − | 1.88605i | 0.220423 | − | 0.0983172i | ||||
\(369\) | 29.6204 | + | 9.88786i | 1.54198 | + | 0.514741i | ||||
\(370\) | −10.9235 | + | 1.98055i | −0.567886 | + | 0.102964i | ||||
\(371\) | −8.82207 | − | 27.1515i | −0.458019 | − | 1.40964i | ||||
\(372\) | 4.84344 | − | 17.8138i | 0.251121 | − | 0.923601i | ||||
\(373\) | 16.9613 | − | 23.3452i | 0.878220 | − | 1.20877i | −0.0986904 | − | 0.995118i | \(-0.531465\pi\) |
0.976911 | − | 0.213648i | \(-0.0685347\pi\) | |||||||
\(374\) | −10.2512 | + | 34.6289i | −0.530075 | + | 1.79062i | ||||
\(375\) | −2.71884 | − | 19.1731i | −0.140400 | − | 0.990095i | ||||
\(376\) | −21.1865 | − | 24.7807i | −1.09261 | − | 1.27797i | ||||
\(377\) | 5.98219 | + | 4.34632i | 0.308099 | + | 0.223847i | ||||
\(378\) | −0.316142 | − | 22.0965i | −0.0162606 | − | 1.13652i | ||||
\(379\) | −18.1541 | + | 5.89862i | −0.932512 | + | 0.302992i | −0.735590 | − | 0.677427i | \(-0.763095\pi\) |
−0.196923 | + | 0.980419i | \(0.563095\pi\) | |||||||
\(380\) | −0.192665 | + | 1.76960i | −0.00988351 | + | 0.0907783i | ||||
\(381\) | −13.2528 | − | 4.36500i | −0.678963 | − | 0.223626i | ||||
\(382\) | 8.54258 | − | 28.8572i | 0.437076 | − | 1.47646i | ||||
\(383\) | −7.10706 | − | 2.30922i | −0.363154 | − | 0.117996i | 0.121756 | − | 0.992560i | \(-0.461148\pi\) |
−0.484910 | + | 0.874564i | \(0.661148\pi\) | |||||||
\(384\) | −3.51652 | − | 19.2778i | −0.179452 | − | 0.983767i | ||||
\(385\) | −32.5920 | − | 5.29802i | −1.66104 | − | 0.270012i | ||||
\(386\) | 10.2339 | + | 13.3324i | 0.520892 | + | 0.678602i | ||||
\(387\) | −26.7704 | + | 19.1234i | −1.36082 | + | 0.972095i | ||||
\(388\) | 0.377898 | + | 7.16436i | 0.0191849 | + | 0.363715i | ||||
\(389\) | 0.230063 | − | 0.316654i | 0.0116647 | − | 0.0160550i | −0.803145 | − | 0.595784i | \(-0.796842\pi\) |
0.814809 | + | 0.579729i | \(0.196842\pi\) | |||||||
\(390\) | 8.22744 | − | 4.38321i | 0.416613 | − | 0.221953i | ||||
\(391\) | 3.53823 | + | 4.86996i | 0.178936 | + | 0.246284i | ||||
\(392\) | 2.21474 | + | 5.33919i | 0.111861 | + | 0.269670i | ||||
\(393\) | 0.0277112 | − | 6.90316i | 0.00139784 | − | 0.348218i | ||||
\(394\) | 14.6762 | + | 10.0830i | 0.739377 | + | 0.507976i | ||||
\(395\) | 3.85030 | − | 3.81911i | 0.193730 | − | 0.192160i | ||||
\(396\) | 7.84408 | − | 28.3991i | 0.394180 | − | 1.42711i | ||||
\(397\) | 35.6241 | − | 11.5750i | 1.78792 | − | 0.580932i | 0.788506 | − | 0.615027i | \(-0.210855\pi\) |
0.999419 | + | 0.0340956i | \(0.0108551\pi\) | |||||||
\(398\) | 4.87171 | + | 6.34671i | 0.244197 | + | 0.318132i | ||||
\(399\) | 2.07323 | + | 0.00832250i | 0.103791 | + | 0.000416646i | ||||
\(400\) | −18.3311 | + | 7.99827i | −0.916553 | + | 0.399914i | ||||
\(401\) | − | 29.1823i | − | 1.45729i | −0.684890 | − | 0.728647i | \(-0.740150\pi\) | ||
0.684890 | − | 0.728647i | \(-0.259850\pi\) | |||||||
\(402\) | 0.889963 | + | 1.16910i | 0.0443873 | + | 0.0583095i | ||||
\(403\) | −2.80280 | − | 8.62613i | −0.139617 | − | 0.429698i | ||||
\(404\) | 20.5544 | + | 5.50008i | 1.02262 | + | 0.273639i | ||||
\(405\) | −2.74758 | − | 19.9362i | −0.136528 | − | 0.990636i | ||||
\(406\) | −10.4629 | + | 15.2292i | −0.519266 | + | 0.755811i | ||||
\(407\) | 17.2387i | 0.854488i | ||||||||
\(408\) | 23.5719 | − | 9.66711i | 1.16699 | − | 0.478593i | ||||
\(409\) | −20.6984 | + | 15.0382i | −1.02347 | + | 0.743593i | −0.966991 | − | 0.254810i | \(-0.917987\pi\) |
−0.0564775 | + | 0.998404i | \(0.517987\pi\) | |||||||
\(410\) | −32.3883 | + | 5.87234i | −1.59954 | + | 0.290014i | ||||
\(411\) | −6.89652 | + | 9.41256i | −0.340180 | + | 0.464287i | ||||
\(412\) | −7.82518 | + | 0.412755i | −0.385519 | + | 0.0203350i | ||||
\(413\) | −0.911235 | + | 0.662051i | −0.0448389 | + | 0.0325774i | ||||
\(414\) | −2.95883 | − | 3.91942i | −0.145418 | − | 0.192629i | ||||
\(415\) | 1.35590 | − | 0.209104i | 0.0665583 | − | 0.0102645i | ||||
\(416\) | −6.63333 | − | 6.97824i | −0.325226 | − | 0.342136i | ||||
\(417\) | −6.31178 | + | 19.1636i | −0.309089 | + | 0.938444i | ||||
\(418\) | 2.65039 | + | 0.784593i | 0.129635 | + | 0.0383757i | ||||
\(419\) | 7.39741 | − | 22.7669i | 0.361387 | − | 1.11223i | −0.590826 | − | 0.806799i | \(-0.701198\pi\) |
0.952213 | − | 0.305435i | \(-0.0988020\pi\) | |||||||
\(420\) | 11.4906 | + | 20.2629i | 0.560681 | + | 0.988729i | ||||
\(421\) | −1.91960 | − | 5.90793i | −0.0935557 | − | 0.287935i | 0.893319 | − | 0.449423i | \(-0.148371\pi\) |
−0.986875 | + | 0.161489i | \(0.948371\pi\) | |||||||
\(422\) | −0.478962 | − | 18.1734i | −0.0233155 | − | 0.884665i | ||||
\(423\) | −20.5499 | + | 27.8122i | −0.999170 | + | 1.35227i | ||||
\(424\) | −20.4088 | + | 17.4487i | −0.991141 | + | 0.847385i | ||||
\(425\) | −15.1123 | − | 21.1601i | −0.733056 | − | 1.02642i | ||||
\(426\) | 21.5047 | + | 6.46003i | 1.04191 | + | 0.312989i | ||||
\(427\) | 19.5245 | + | 14.1854i | 0.944855 | + | 0.686477i | ||||
\(428\) | 15.8172 | + | 4.23247i | 0.764554 | + | 0.204584i | ||||
\(429\) | −4.41790 | − | 13.7849i | −0.213298 | − | 0.665543i | ||||
\(430\) | 15.0515 | − | 31.2422i | 0.725848 | − | 1.50663i | ||||
\(431\) | 5.29439 | − | 16.2945i | 0.255022 | − | 0.784876i | −0.738804 | − | 0.673921i | \(-0.764609\pi\) |
0.993825 | − | 0.110955i | \(-0.0353911\pi\) | |||||||
\(432\) | −19.0825 | + | 8.23750i | −0.918109 | + | 0.396327i | ||||
\(433\) | −35.1128 | − | 11.4089i | −1.68742 | − | 0.548274i | −0.701088 | − | 0.713074i | \(-0.747302\pi\) |
−0.986327 | + | 0.164800i | \(0.947302\pi\) | |||||||
\(434\) | 21.3629 | − | 7.56906i | 1.02545 | − | 0.363326i | ||||
\(435\) | −7.75992 | + | 14.9302i | −0.372060 | + | 0.715848i | ||||
\(436\) | 4.16922 | + | 10.8502i | 0.199670 | + | 0.519631i | ||||
\(437\) | 0.372732 | − | 0.270805i | 0.0178302 | − | 0.0129544i | ||||
\(438\) | −8.83244 | − | 25.2502i | −0.422030 | − | 1.20650i | ||||
\(439\) | −7.31138 | + | 10.0632i | −0.348953 | + | 0.480293i | −0.947030 | − | 0.321146i | \(-0.895932\pi\) |
0.598077 | + | 0.801439i | \(0.295932\pi\) | |||||||
\(440\) | 7.14240 | + | 30.2237i | 0.340500 | + | 1.44086i | ||||
\(441\) | 4.98881 | − | 3.56374i | 0.237562 | − | 0.169702i | ||||
\(442\) | 7.08827 | − | 10.3172i | 0.337155 | − | 0.490741i | ||||
\(443\) | 17.8513i | 0.848143i | 0.905629 | + | 0.424071i | \(0.139399\pi\) | ||||
−0.905629 | + | 0.424071i | \(0.860601\pi\) | |||||||
\(444\) | 9.47908 | − | 7.61849i | 0.449857 | − | 0.361557i | ||||
\(445\) | −1.44071 | + | 8.86289i | −0.0682964 | + | 0.420141i | ||||
\(446\) | 4.88497 | − | 0.128744i | 0.231310 | − | 0.00609622i | ||||
\(447\) | −4.25142 | − | 13.2655i | −0.201085 | − | 0.627435i | ||||
\(448\) | 16.9944 | − | 17.0289i | 0.802910 | − | 0.804541i | ||||
\(449\) | 26.5322i | 1.25213i | 0.779770 | + | 0.626066i | \(0.215336\pi\) | ||||
−0.779770 | + | 0.626066i | \(0.784664\pi\) | |||||||
\(450\) | 12.6430 | + | 17.0339i | 0.595996 | + | 0.802987i | ||||
\(451\) | 51.1128i | 2.40681i | ||||||||
\(452\) | −8.98065 | − | 23.3718i | −0.422414 | − | 1.09932i | ||||
\(453\) | −2.95157 | − | 9.20964i | −0.138677 | − | 0.432707i | ||||
\(454\) | 0.0222525 | + | 0.844330i | 0.00104436 | + | 0.0396264i | ||||
\(455\) | 10.1763 | + | 5.23733i | 0.477073 | + | 0.245530i | ||||
\(456\) | −0.739891 | − | 1.80412i | −0.0346486 | − | 0.0844859i | ||||
\(457\) | 33.2379i | 1.55480i | 0.629005 | + | 0.777401i | \(0.283463\pi\) | ||||
−0.629005 | + | 0.777401i | \(0.716537\pi\) | |||||||
\(458\) | −11.5044 | − | 7.90392i | −0.537567 | − | 0.369326i | ||||
\(459\) | −15.6191 | − | 22.0515i | −0.729038 | − | 1.02928i | ||||
\(460\) | 4.72108 | + | 2.12309i | 0.220122 | + | 0.0989894i | ||||
\(461\) | 12.4042 | − | 17.0729i | 0.577719 | − | 0.795162i | −0.415724 | − | 0.909491i | \(-0.636472\pi\) |
0.993443 | + | 0.114329i | \(0.0364717\pi\) | |||||||
\(462\) | 34.1429 | − | 11.9431i | 1.58847 | − | 0.555642i | ||||
\(463\) | −10.6594 | + | 7.74450i | −0.495384 | + | 0.359918i | −0.807251 | − | 0.590208i | \(-0.799046\pi\) |
0.311867 | + | 0.950126i | \(0.399046\pi\) | |||||||
\(464\) | 17.0009 | + | 3.60163i | 0.789247 | + | 0.167202i | ||||
\(465\) | 18.4650 | − | 9.22120i | 0.856294 | − | 0.427623i | ||||
\(466\) | −6.79862 | − | 19.1884i | −0.314940 | − | 0.888885i | ||||
\(467\) | 0.805747 | + | 0.261803i | 0.0372855 | + | 0.0121148i | 0.327600 | − | 0.944816i | \(-0.393760\pi\) |
−0.290315 | + | 0.956931i | \(0.593760\pi\) | |||||||
\(468\) | −5.62752 | + | 8.52144i | −0.260132 | + | 0.393904i | ||||
\(469\) | −0.557427 | + | 1.71558i | −0.0257396 | + | 0.0792183i | ||||
\(470\) | 4.89864 | − | 36.1205i | 0.225957 | − | 1.66611i | ||||
\(471\) | 5.58539 | + | 17.4278i | 0.257361 | + | 0.803031i | ||||
\(472\) | 0.903538 | + | 0.553058i | 0.0415887 | + | 0.0254566i | ||||
\(473\) | −43.5652 | − | 31.6520i | −2.00313 | − | 1.45536i | ||||
\(474\) | −1.70915 | + | 5.68958i | −0.0785041 | + | 0.261331i | ||||
\(475\) | −1.61953 | + | 1.15665i | −0.0743093 | + | 0.0530709i | ||||
\(476\) | 26.2383 | + | 17.0267i | 1.20263 | + | 0.780418i | ||||
\(477\) | 22.9055 | + | 16.9245i | 1.04877 | + | 0.774918i | ||||
\(478\) | 25.8764 | − | 0.681978i | 1.18356 | − | 0.0311930i | ||||
\(479\) | 6.52146 | + | 20.0710i | 0.297973 | + | 0.917068i | 0.982206 | + | 0.187804i | \(0.0601371\pi\) |
−0.684233 | + | 0.729263i | \(0.739863\pi\) | |||||||
\(480\) | 13.4627 | − | 17.2846i | 0.614485 | − | 0.788928i | ||||
\(481\) | 1.84640 | − | 5.68263i | 0.0841885 | − | 0.259105i | ||||
\(482\) | −3.09366 | + | 10.4505i | −0.140912 | + | 0.476008i | ||||
\(483\) | 1.88610 | − | 5.72650i | 0.0858206 | − | 0.260565i | ||||
\(484\) | 26.1879 | − | 1.38133i | 1.19036 | − | 0.0627879i | ||||
\(485\) | −5.69481 | + | 5.64868i | −0.258588 | + | 0.256494i | ||||
\(486\) | 13.0697 | + | 17.7534i | 0.592852 | + | 0.805311i | ||||
\(487\) | −7.83412 | + | 5.69182i | −0.354998 | + | 0.257921i | −0.750963 | − | 0.660345i | \(-0.770410\pi\) |
0.395965 | + | 0.918266i | \(0.370410\pi\) | |||||||
\(488\) | 5.28763 | − | 22.0739i | 0.239360 | − | 0.999238i | ||||
\(489\) | 14.7311 | − | 20.1055i | 0.666165 | − | 0.909200i | ||||
\(490\) | −2.80493 | + | 5.82214i | −0.126714 | + | 0.263018i | ||||
\(491\) | −13.8232 | + | 10.0432i | −0.623833 | + | 0.453241i | −0.854258 | − | 0.519849i | \(-0.825988\pi\) |
0.230425 | + | 0.973090i | \(0.425988\pi\) | |||||||
\(492\) | 28.1056 | − | 22.5889i | 1.26710 | − | 1.01839i | ||||
\(493\) | 22.5939i | 1.01758i | ||||||||
\(494\) | −0.789650 | − | 0.542515i | −0.0355280 | − | 0.0244089i | ||||
\(495\) | 29.5285 | − | 14.5984i | 1.32721 | − | 0.656149i | ||||
\(496\) | −14.2741 | − | 15.8315i | −0.640927 | − | 0.710854i | ||||
\(497\) | 8.51870 | + | 26.2179i | 0.382116 | + | 1.17603i | ||||
\(498\) | −1.19582 | + | 0.910297i | −0.0535858 | + | 0.0407914i | ||||
\(499\) | − | 24.6712i | − | 1.10443i | −0.833701 | − | 0.552217i | \(-0.813782\pi\) | ||
0.833701 | − | 0.552217i | \(-0.186218\pi\) | |||||||
\(500\) | −20.3182 | − | 9.33656i | −0.908657 | − | 0.417544i | ||||
\(501\) | 18.7902 | + | 0.0754290i | 0.839484 | + | 0.00336992i | ||||
\(502\) | −31.7691 | + | 24.3858i | −1.41792 | + | 1.08839i | ||||
\(503\) | 12.9329 | − | 4.20217i | 0.576652 | − | 0.187365i | −0.00614836 | − | 0.999981i | \(-0.501957\pi\) |
0.582800 | + | 0.812616i | \(0.301957\pi\) | |||||||
\(504\) | −21.6564 | − | 13.4961i | −0.964651 | − | 0.601165i | ||||
\(505\) | 10.7137 | + | 21.2399i | 0.476754 | + | 0.945164i | ||||
\(506\) | 4.55171 | − | 6.62519i | 0.202348 | − | 0.294525i | ||||
\(507\) | 0.0702464 | − | 17.4992i | 0.00311975 | − | 0.777165i | ||||
\(508\) | −12.5177 | + | 10.1437i | −0.555384 | + | 0.450052i | ||||
\(509\) | −1.63205 | − | 2.24632i | −0.0723392 | − | 0.0995663i | 0.771314 | − | 0.636455i | \(-0.219600\pi\) |
−0.843653 | + | 0.536888i | \(0.819600\pi\) | |||||||
\(510\) | 25.6118 | + | 12.4659i | 1.13411 | + | 0.551998i | ||||
\(511\) | 19.3039 | − | 26.5695i | 0.853954 | − | 1.17537i | ||||
\(512\) | −20.9182 | − | 8.62731i | −0.924461 | − | 0.381277i | ||||
\(513\) | −1.68776 | + | 1.19544i | −0.0745162 | + | 0.0527799i | ||||
\(514\) | 3.80798 | − | 2.92299i | 0.167963 | − | 0.128927i | ||||
\(515\) | −6.16970 | − | 6.22009i | −0.271870 | − | 0.274090i | ||||
\(516\) | 1.84871 | + | 37.9437i | 0.0813849 | + | 1.67038i | ||||
\(517\) | −53.8314 | − | 17.4909i | −2.36750 | − | 0.769248i | ||||
\(518\) | 14.3163 | + | 4.23805i | 0.629022 | + | 0.186209i | ||||
\(519\) | 42.1566 | + | 13.8848i | 1.85047 | + | 0.609477i | ||||
\(520\) | 0.882749 | − | 10.7281i | 0.0387111 | − | 0.470458i | ||||
\(521\) | −15.5872 | + | 5.06459i | −0.682888 | + | 0.221884i | −0.629859 | − | 0.776709i | \(-0.716887\pi\) |
−0.0530285 | + | 0.998593i | \(0.516887\pi\) | |||||||
\(522\) | −0.337673 | − | 18.4293i | −0.0147795 | − | 0.806628i | ||||
\(523\) | −32.1619 | − | 23.3670i | −1.40634 | − | 1.02177i | −0.993842 | − | 0.110808i | \(-0.964656\pi\) |
−0.412498 | − | 0.910958i | \(-0.635344\pi\) | |||||||
\(524\) | −6.68663 | − | 4.33914i | −0.292107 | − | 0.189556i | ||||
\(525\) | −8.34822 | + | 24.6694i | −0.364346 | + | 1.07666i | ||||
\(526\) | −16.2239 | − | 4.80275i | −0.707395 | − | 0.209410i | ||||
\(527\) | 16.2899 | − | 22.4211i | 0.709598 | − | 0.976678i | ||||
\(528\) | −22.6795 | − | 25.3579i | −0.987000 | − | 1.10356i | ||||
\(529\) | 6.69337 | + | 20.6001i | 0.291016 | + | 0.895655i | ||||
\(530\) | −29.7481 | − | 4.03442i | −1.29217 | − | 0.175244i | ||||
\(531\) | 0.355788 | − | 1.06581i | 0.0154399 | − | 0.0462522i | ||||
\(532\) | 1.30317 | − | 2.00820i | 0.0564997 | − | 0.0870664i | ||||
\(533\) | 5.47459 | − | 16.8491i | 0.237131 | − | 0.729813i | ||||
\(534\) | −3.24773 | − | 9.28461i | −0.140543 | − | 0.401785i | ||||
\(535\) | 8.24451 | + | 16.3447i | 0.356441 | + | 0.706645i | ||||
\(536\) | 1.69130 | − | 0.133972i | 0.0730530 | − | 0.00578670i | ||||
\(537\) | −5.99811 | − | 8.32577i | −0.258838 | − | 0.359284i | ||||
\(538\) | 29.7914 | − | 10.5554i | 1.28440 | − | 0.455075i | ||||
\(539\) | 8.11861 | + | 5.89852i | 0.349693 | + | 0.254067i | ||||
\(540\) | −21.0772 | − | 9.78532i | −0.907017 | − | 0.421093i | ||||
\(541\) | −30.3629 | + | 22.0600i | −1.30540 | + | 0.948432i | −0.999993 | − | 0.00378834i | \(-0.998794\pi\) |
−0.305412 | + | 0.952220i | \(0.598794\pi\) | |||||||
\(542\) | −2.93442 | + | 4.27115i | −0.126044 | + | 0.183462i | ||||
\(543\) | 0.0484130 | − | 12.0602i | 0.00207760 | − | 0.517553i | ||||
\(544\) | 5.33665 | − | 28.9305i | 0.228807 | − | 1.24038i | ||||
\(545\) | −5.94695 | + | 11.5551i | −0.254739 | + | 0.494967i | ||||
\(546\) | −12.5342 | + | 0.279996i | −0.536414 | + | 0.0119827i | ||||
\(547\) | −3.40666 | − | 10.4846i | −0.145658 | − | 0.448291i | 0.851437 | − | 0.524458i | \(-0.175732\pi\) |
−0.997095 | + | 0.0761668i | \(0.975732\pi\) | |||||||
\(548\) | 4.83285 | + | 12.5773i | 0.206449 | + | 0.537275i | ||||
\(549\) | −24.0745 | − | 0.193286i | −1.02747 | − | 0.00824926i | ||||
\(550\) | −19.8939 | + | 28.4577i | −0.848281 | + | 1.21344i | ||||
\(551\) | 1.72927 | 0.0736694 | ||||||||
\(552\) | −5.65461 | + | 0.425080i | −0.240676 | + | 0.0180926i | ||||
\(553\) | −6.93656 | + | 2.25382i | −0.294972 | + | 0.0958424i | ||||
\(554\) | 0.957213 | + | 36.3197i | 0.0406681 | + | 1.54308i | ||||
\(555\) | 13.4116 | + | 2.23543i | 0.569290 | + | 0.0948886i | ||||
\(556\) | 14.6677 | + | 18.1006i | 0.622050 | + | 0.767637i | ||||
\(557\) | 13.5504 | 0.574151 | 0.287075 | − | 0.957908i | \(-0.407317\pi\) | ||||
0.287075 | + | 0.957908i | \(0.407317\pi\) | |||||||
\(558\) | −12.9521 | + | 18.5318i | −0.548308 | + | 0.784512i | ||||
\(559\) | 10.9709 | + | 15.1001i | 0.464018 | + | 0.638666i | ||||
\(560\) | 26.8560 | + | 1.49877i | 1.13487 | + | 0.0633347i | ||||
\(561\) | 26.1417 | − | 35.6789i | 1.10370 | − | 1.50636i | ||||
\(562\) | −7.85558 | + | 2.78330i | −0.331368 | + | 0.117407i | ||||
\(563\) | −17.9779 | − | 24.7444i | −0.757676 | − | 1.04285i | −0.997404 | − | 0.0720118i | \(-0.977058\pi\) |
0.239727 | − | 0.970840i | \(-0.422942\pi\) | |||||||
\(564\) | 14.1726 | + | 37.3304i | 0.596773 | + | 1.57189i | ||||
\(565\) | 12.8099 | − | 24.8902i | 0.538918 | − | 1.04714i | ||||
\(566\) | 12.7575 | + | 36.0066i | 0.536236 | + | 1.51347i | ||||
\(567\) | −8.77589 | + | 25.6031i | −0.368553 | + | 1.07523i | ||||
\(568\) | 19.7070 | − | 16.8487i | 0.826889 | − | 0.706956i | ||||
\(569\) | 12.2734 | + | 3.98786i | 0.514527 | + | 0.167180i | 0.554760 | − | 0.832010i | \(-0.312810\pi\) |
−0.0402330 | + | 0.999190i | \(0.512810\pi\) | |||||||
\(570\) | 0.954100 | − | 1.96025i | 0.0399629 | − | 0.0821058i | ||||
\(571\) | 28.2274 | − | 9.17165i | 1.18128 | − | 0.383822i | 0.348439 | − | 0.937332i | \(-0.386712\pi\) |
0.832843 | + | 0.553510i | \(0.186712\pi\) | |||||||
\(572\) | −16.1469 | − | 4.32069i | −0.675135 | − | 0.180657i | ||||
\(573\) | −21.7846 | + | 29.7322i | −0.910064 | + | 1.24208i | ||||
\(574\) | 42.4480 | + | 12.5659i | 1.77175 | + | 0.524489i | ||||
\(575\) | 1.74361 | + | 5.51860i | 0.0727136 | + | 0.230142i | ||||
\(576\) | −3.92059 | + | 23.6776i | −0.163358 | + | 0.986567i | ||||
\(577\) | −6.13811 | + | 8.44839i | −0.255533 | + | 0.351711i | −0.917439 | − | 0.397876i | \(-0.869748\pi\) |
0.661906 | + | 0.749586i | \(0.269748\pi\) | |||||||
\(578\) | 14.2014 | − | 0.374281i | 0.590701 | − | 0.0155680i | ||||
\(579\) | −6.28238 | − | 19.6026i | −0.261087 | − | 0.814655i | ||||
\(580\) | 9.65192 | + | 16.8625i | 0.400774 | + | 0.700177i | ||||
\(581\) | −1.75478 | − | 0.570164i | −0.0728007 | − | 0.0236544i | ||||
\(582\) | 2.52794 | − | 8.41521i | 0.104786 | − | 0.348822i | ||||
\(583\) | −14.4051 | + | 44.3344i | −0.596599 | + | 1.83614i | ||||
\(584\) | −30.0389 | − | 7.19558i | −1.24302 | − | 0.297755i | ||||
\(585\) | −11.2975 | + | 1.64954i | −0.467095 | + | 0.0682001i | ||||
\(586\) | 21.4171 | − | 16.4397i | 0.884732 | − | 0.679117i | ||||
\(587\) | 21.2796 | + | 29.2889i | 0.878304 | + | 1.20888i | 0.976888 | + | 0.213754i | \(0.0685689\pi\) |
−0.0985832 | + | 0.995129i | \(0.531431\pi\) | |||||||
\(588\) | −0.344517 | − | 7.07102i | −0.0142076 | − | 0.291604i | ||||
\(589\) | −1.71604 | − | 1.24678i | −0.0707083 | − | 0.0513726i | ||||
\(590\) | 0.211301 | + | 1.16541i | 0.00869910 | + | 0.0479790i | ||||
\(591\) | −12.7475 | − | 17.6943i | −0.524362 | − | 0.727848i | ||||
\(592\) | −1.47729 | − | 13.9646i | −0.0607163 | − | 0.573942i | ||||
\(593\) | 1.00854 | 0.0414158 | 0.0207079 | − | 0.999786i | \(-0.493408\pi\) | ||||
0.0207079 | + | 0.999786i | \(0.493408\pi\) | |||||||
\(594\) | −20.7899 | + | 29.4930i | −0.853018 | + | 1.21011i | ||||
\(595\) | 5.33011 | + | 34.5620i | 0.218513 | + | 1.41691i | ||||
\(596\) | −15.5384 | − | 4.15787i | −0.636478 | − | 0.170313i | ||||
\(597\) | −2.99064 | − | 9.33153i | −0.122399 | − | 0.381914i | ||||
\(598\) | −2.21006 | + | 1.69643i | −0.0903760 | + | 0.0693722i | ||||
\(599\) | −15.0708 | −0.615778 | −0.307889 | − | 0.951422i | \(-0.599622\pi\) | ||||
−0.307889 | + | 0.951422i | \(0.599622\pi\) | |||||||
\(600\) | 24.4401 | − | 1.63748i | 0.997763 | − | 0.0668500i | ||||
\(601\) | −31.2130 | −1.27321 | −0.636603 | − | 0.771191i | \(-0.719661\pi\) | ||||
−0.636603 | + | 0.771191i | \(0.719661\pi\) | |||||||
\(602\) | −36.9966 | + | 28.3984i | −1.50787 | + | 1.15743i | ||||
\(603\) | −0.542322 | − | 1.71585i | −0.0220851 | − | 0.0698748i | ||||
\(604\) | −10.7876 | − | 2.88663i | −0.438943 | − | 0.117455i | ||||
\(605\) | 20.6477 | + | 20.8163i | 0.839447 | + | 0.846302i | ||||
\(606\) | −21.4195 | − | 14.8428i | −0.870106 | − | 0.602946i | ||||
\(607\) | 19.4194 | 0.788208 | 0.394104 | − | 0.919066i | \(-0.371055\pi\) | ||||
0.394104 | + | 0.919066i | \(0.371055\pi\) | |||||||
\(608\) | −2.21425 | − | 0.408451i | −0.0897997 | − | 0.0165649i | ||||
\(609\) | 18.3610 | − | 13.2278i | 0.744026 | − | 0.536016i | ||||
\(610\) | 22.3492 | − | 12.0221i | 0.904894 | − | 0.486761i | ||||
\(611\) | 15.8718 | + | 11.5315i | 0.642104 | + | 0.466516i | ||||
\(612\) | −31.1720 | + | 1.39337i | −1.26005 | + | 0.0563236i | ||||
\(613\) | 5.20312 | + | 7.16149i | 0.210152 | + | 0.289250i | 0.901061 | − | 0.433692i | \(-0.142789\pi\) |
−0.690909 | + | 0.722942i | \(0.742789\pi\) | |||||||
\(614\) | −28.7404 | + | 22.0610i | −1.15987 | + | 0.890309i | ||||
\(615\) | 39.7655 | + | 6.62807i | 1.60350 | + | 0.267270i | ||||
\(616\) | 9.72974 | − | 40.6181i | 0.392022 | − | 1.63655i | ||||
\(617\) | −10.4713 | + | 32.2272i | −0.421557 | + | 1.29742i | 0.484695 | + | 0.874683i | \(0.338930\pi\) |
−0.906253 | + | 0.422737i | \(0.861070\pi\) | |||||||
\(618\) | 9.19141 | + | 2.76111i | 0.369733 | + | 0.111068i | ||||
\(619\) | −32.6143 | − | 10.5970i | −1.31088 | − | 0.425931i | −0.431527 | − | 0.902100i | \(-0.642025\pi\) |
−0.879354 | + | 0.476169i | \(0.842025\pi\) | |||||||
\(620\) | 2.57951 | − | 23.6924i | 0.103596 | − | 0.951509i | ||||
\(621\) | 1.78958 | + | 5.74214i | 0.0718132 | + | 0.230424i | ||||
\(622\) | −14.3107 | + | 0.377160i | −0.573805 | + | 0.0151227i | ||||
\(623\) | 7.09814 | − | 9.76975i | 0.284381 | − | 0.391417i | ||||
\(624\) | 4.76015 | + | 10.7882i | 0.190559 | + | 0.431875i | ||||
\(625\) | −7.33767 | − | 23.8989i | −0.293507 | − | 0.955957i | ||||
\(626\) | −28.0521 | − | 8.30425i | −1.12119 | − | 0.331905i | ||||
\(627\) | −2.73075 | − | 2.00080i | −0.109056 | − | 0.0799044i | ||||
\(628\) | 20.4139 | + | 5.46249i | 0.814604 | + | 0.217977i | ||||
\(629\) | 17.3635 | − | 5.64176i | 0.692330 | − | 0.224952i | ||||
\(630\) | −4.86417 | − | 28.1117i | −0.193793 | − | 1.12000i | ||||
\(631\) | −17.5658 | − | 5.70746i | −0.699282 | − | 0.227211i | −0.0622644 | − | 0.998060i | \(-0.519832\pi\) |
−0.637018 | + | 0.770849i | \(0.719832\pi\) | |||||||
\(632\) | 4.45772 | + | 5.21396i | 0.177319 | + | 0.207400i | ||||
\(633\) | −6.96535 | + | 21.1479i | −0.276848 | + | 0.840554i | ||||
\(634\) | 8.94583 | + | 25.2487i | 0.355284 | + | 1.00275i | ||||
\(635\) | −17.7801 | − | 2.89025i | −0.705580 | − | 0.114696i | ||||
\(636\) | 30.7445 | − | 11.6722i | 1.21910 | − | 0.462834i | ||||
\(637\) | −2.04448 | − | 2.81398i | −0.0810051 | − | 0.111494i | ||||
\(638\) | 28.4380 | − | 10.0758i | 1.12587 | − | 0.398906i | ||||
\(639\) | −22.1179 | − | 16.3425i | −0.874969 | − | 0.646498i | ||||
\(640\) | −8.37594 | − | 23.8714i | −0.331088 | − | 0.943600i | ||||
\(641\) | −18.1246 | − | 24.9464i | −0.715879 | − | 0.985323i | −0.999651 | − | 0.0264310i | \(-0.991586\pi\) |
0.283772 | − | 0.958892i | \(-0.408414\pi\) | |||||||
\(642\) | −16.4829 | − | 11.4219i | −0.650528 | − | 0.450788i | ||||
\(643\) | 5.59711 | 0.220728 | 0.110364 | − | 0.993891i | \(-0.464798\pi\) | ||||
0.110364 | + | 0.993891i | \(0.464798\pi\) | |||||||
\(644\) | −4.38304 | − | 5.40887i | −0.172716 | − | 0.213139i | ||||
\(645\) | −30.2744 | + | 29.7891i | −1.19206 | + | 1.17294i | ||||
\(646\) | −0.0771249 | − | 2.92637i | −0.00303444 | − | 0.115136i | ||||
\(647\) | 4.41127 | − | 1.43331i | 0.173425 | − | 0.0563492i | −0.221017 | − | 0.975270i | \(-0.570938\pi\) |
0.394442 | + | 0.918921i | \(0.370938\pi\) | |||||||
\(648\) | 25.4054 | − | 1.60241i | 0.998017 | − | 0.0629486i | ||||
\(649\) | 1.83916 | 0.0721932 | ||||||||
\(650\) | 9.60597 | − | 7.25011i | 0.376777 | − | 0.284373i | ||||
\(651\) | −27.7576 | − | 0.111427i | −1.08790 | − | 0.00436715i | ||||
\(652\) | −10.3231 | − | 26.8654i | −0.404283 | − | 1.05213i | ||||
\(653\) | 1.39770 | + | 4.30168i | 0.0546962 | + | 0.168338i | 0.974673 | − | 0.223636i | \(-0.0717926\pi\) |
−0.919977 | + | 0.391973i | \(0.871793\pi\) | |||||||
\(654\) | −0.317933 | − | 14.2325i | −0.0124322 | − | 0.556534i | ||||
\(655\) | −1.35834 | − | 8.80789i | −0.0530747 | − | 0.344153i | ||||
\(656\) | −4.38019 | − | 41.4052i | −0.171018 | − | 1.61660i | ||||
\(657\) | −0.263030 | + | 32.7613i | −0.0102618 | + | 1.27814i | ||||
\(658\) | −27.7600 | + | 40.4056i | −1.08220 | + | 1.57518i | ||||
\(659\) | −25.9972 | + | 18.8881i | −1.01271 | + | 0.735775i | −0.964775 | − | 0.263076i | \(-0.915263\pi\) |
−0.0479319 | + | 0.998851i | \(0.515263\pi\) | |||||||
\(660\) | 4.26859 | − | 37.7956i | 0.166155 | − | 1.47119i | ||||
\(661\) | 0.111125 | + | 0.0807368i | 0.00432225 | + | 0.00314030i | 0.589944 | − | 0.807444i | \(-0.299150\pi\) |
−0.585622 | + | 0.810584i | \(0.699150\pi\) | |||||||
\(662\) | −19.1170 | + | 6.77334i | −0.743005 | + | 0.263253i | ||||
\(663\) | −12.4390 | + | 8.96136i | −0.483089 | + | 0.348030i | ||||
\(664\) | 0.137033 | + | 1.72994i | 0.00531791 | + | 0.0671349i | ||||
\(665\) | 2.64527 | − | 0.407950i | 0.102579 | − | 0.0158196i | ||||
\(666\) | −14.0787 | + | 4.86134i | −0.545537 | + | 0.188373i | ||||
\(667\) | 1.55399 | − | 4.78269i | 0.0601708 | − | 0.185187i | ||||
\(668\) | 11.8110 | − | 18.2008i | 0.456981 | − | 0.704211i | ||||
\(669\) | −5.68453 | − | 1.87228i | −0.219777 | − | 0.0723864i | ||||
\(670\) | 1.37083 | + | 1.31106i | 0.0529598 | + | 0.0506507i | ||||
\(671\) | −12.1773 | − | 37.4778i | −0.470098 | − | 1.44681i | ||||
\(672\) | −26.6348 | + | 12.6007i | −1.02746 | + | 0.486083i | ||||
\(673\) | 10.6134 | − | 14.6081i | 0.409116 | − | 0.563099i | −0.553887 | − | 0.832592i | \(-0.686856\pi\) |
0.963002 | + | 0.269493i | \(0.0868560\pi\) | |||||||
\(674\) | 29.7248 | + | 8.79941i | 1.14496 | + | 0.338941i | ||||
\(675\) | −7.52837 | − | 24.8661i | −0.289767 | − | 0.957097i | ||||
\(676\) | −16.9503 | − | 10.9995i | −0.651934 | − | 0.423057i | ||||
\(677\) | −2.10285 | − | 1.52781i | −0.0808192 | − | 0.0587186i | 0.546642 | − | 0.837366i | \(-0.315906\pi\) |
−0.627461 | + | 0.778648i | \(0.715906\pi\) | |||||||
\(678\) | 0.684838 | + | 30.6573i | 0.0263011 | + | 1.17739i | ||||
\(679\) | 10.2596 | − | 3.33353i | 0.393726 | − | 0.127929i | ||||
\(680\) | 28.1051 | − | 17.0856i | 1.07778 | − | 0.655201i | ||||
\(681\) | 0.323609 | − | 0.982527i | 0.0124007 | − | 0.0376505i | ||||
\(682\) | −35.4849 | − | 10.5046i | −1.35879 | − | 0.402242i | ||||
\(683\) | 2.85334 | + | 0.927107i | 0.109180 | + | 0.0354748i | 0.363098 | − | 0.931751i | \(-0.381719\pi\) |
−0.253917 | + | 0.967226i | \(0.581719\pi\) | |||||||
\(684\) | 0.106644 | + | 2.38581i | 0.00407764 | + | 0.0912237i | ||||
\(685\) | −6.89353 | + | 13.3944i | −0.263388 | + | 0.511773i | ||||
\(686\) | −16.7209 | + | 12.8349i | −0.638406 | + | 0.490038i | ||||
\(687\) | 9.99254 | + | 13.8703i | 0.381239 | + | 0.529185i | ||||
\(688\) | 38.0036 | + | 21.9071i | 1.44887 | + | 0.835201i | ||||
\(689\) | 9.49713 | − | 13.0717i | 0.361812 | − | 0.497991i | ||||
\(690\) | −4.56412 | − | 4.40034i | −0.173753 | − | 0.167518i | ||||
\(691\) | 15.2850 | + | 21.0380i | 0.581468 | + | 0.800322i | 0.993855 | − | 0.110687i | \(-0.0353051\pi\) |
−0.412388 | + | 0.911008i | \(0.635305\pi\) | |||||||
\(692\) | 39.8182 | − | 32.2665i | 1.51366 | − | 1.22659i | ||||
\(693\) | −44.2993 | − | 0.355665i | −1.68279 | − | 0.0135106i | ||||
\(694\) | −0.227642 | + | 0.331341i | −0.00864118 | + | 0.0125776i | ||||
\(695\) | −4.17930 | + | 25.7099i | −0.158530 | + | 0.975234i | ||||
\(696\) | −18.1084 | − | 11.1844i | −0.686396 | − | 0.423942i | ||||
\(697\) | 51.4831 | − | 16.7279i | 1.95006 | − | 0.633613i | ||||
\(698\) | −11.1479 | + | 8.55706i | −0.421953 | + | 0.323890i | ||||
\(699\) | −0.100085 | + | 24.9322i | −0.00378555 | + | 0.943022i | ||||
\(700\) | 18.7426 | + | 23.5177i | 0.708403 | + | 0.888884i | ||||
\(701\) | − | 28.1849i | − | 1.06453i | −0.846578 | − | 0.532265i | \(-0.821341\pi\) | ||
0.846578 | − | 0.532265i | \(-0.178659\pi\) | |||||||
\(702\) | 10.0122 | − | 7.49545i | 0.377886 | − | 0.282898i | ||||
\(703\) | −0.431803 | − | 1.32895i | −0.0162858 | − | 0.0501224i | ||||
\(704\) | −38.7934 | + | 6.18463i | −1.46208 | + | 0.233092i | ||||
\(705\) | −20.5884 | + | 39.6124i | −0.775405 | + | 1.49189i | ||||
\(706\) | 0.0961305 | + | 0.0660448i | 0.00361792 | + | 0.00248563i | ||||
\(707\) | − | 31.9936i | − | 1.20324i | ||||||
\(708\) | −0.812801 | − | 1.01130i | −0.0305469 | − | 0.0380071i | ||||
\(709\) | 29.0197 | − | 21.0841i | 1.08986 | − | 0.791829i | 0.110484 | − | 0.993878i | \(-0.464760\pi\) |
0.979376 | + | 0.202049i | \(0.0647599\pi\) | |||||||
\(710\) | 28.7251 | + | 3.89568i | 1.07803 | + | 0.146202i | ||||
\(711\) | 4.32379 | − | 5.85181i | 0.162155 | − | 0.219460i | ||||
\(712\) | −11.0454 | − | 2.64585i | −0.413946 | − | 0.0991574i | ||||
\(713\) | −4.99035 | + | 3.62570i | −0.186890 | + | 0.135784i | ||||
\(714\) | −23.2036 | − | 30.4816i | −0.868375 | − | 1.14074i | ||||
\(715\) | −8.41635 | − | 16.6854i | −0.314754 | − | 0.623999i | ||||
\(716\) | −11.8324 | + | 0.624122i | −0.442196 | + | 0.0233245i | ||||
\(717\) | −30.1118 | − | 9.91774i | −1.12455 | − | 0.370385i | ||||
\(718\) | −9.49122 | + | 32.0617i | −0.354209 | + | 1.19653i | ||||
\(719\) | 2.63761 | − | 8.11773i | 0.0983662 | − | 0.302740i | −0.889750 | − | 0.456448i | \(-0.849121\pi\) |
0.988116 | + | 0.153708i | \(0.0491215\pi\) | |||||||
\(720\) | −22.6693 | + | 14.3563i | −0.844835 | + | 0.535027i | ||||
\(721\) | 3.64101 | + | 11.2059i | 0.135598 | + | 0.417329i | ||||
\(722\) | 26.6368 | − | 0.702016i | 0.991317 | − | 0.0261263i | ||||
\(723\) | 7.88920 | − | 10.7674i | 0.293403 | − | 0.400444i | ||||
\(724\) | −11.6819 | − | 7.58072i | −0.434155 | − | 0.281735i | ||||
\(725\) | −6.88051 | + | 20.6043i | −0.255536 | + | 0.765225i | ||||
\(726\) | −30.7602 | − | 9.24038i | −1.14162 | − | 0.342943i | ||||
\(727\) | −33.0273 | − | 23.9957i | −1.22491 | − | 0.889953i | −0.228416 | − | 0.973564i | \(-0.573355\pi\) |
−0.996498 | + | 0.0836109i | \(0.973355\pi\) | |||||||
\(728\) | −7.55787 | + | 12.3474i | −0.280113 | + | 0.457625i | ||||
\(729\) | −7.72262 | − | 25.8720i | −0.286023 | − | 0.958223i | ||||
\(730\) | −16.3601 | − | 30.4136i | −0.605514 | − | 1.12566i | ||||
\(731\) | −17.6235 | + | 54.2397i | −0.651831 | + | 2.00613i | ||||
\(732\) | −15.2264 | + | 23.2590i | −0.562784 | + | 0.859677i | ||||
\(733\) | 4.90294 | + | 1.59306i | 0.181094 | + | 0.0588411i | 0.398160 | − | 0.917316i | \(-0.369649\pi\) |
−0.217066 | + | 0.976157i | \(0.569649\pi\) | |||||||
\(734\) | −2.08290 | − | 5.87876i | −0.0768812 | − | 0.216989i | ||||
\(735\) | 5.64180 | − | 5.55135i | 0.208101 | − | 0.204765i | ||||
\(736\) | −3.11948 | + | 5.75696i | −0.114985 | + | 0.212205i | ||||
\(737\) | 2.38292 | − | 1.73129i | 0.0877760 | − | 0.0637730i | ||||
\(738\) | −41.7434 | + | 14.4139i | −1.53660 | + | 0.530584i | ||||
\(739\) | 4.70878 | − | 6.48108i | 0.173215 | − | 0.238410i | −0.713579 | − | 0.700575i | \(-0.752927\pi\) |
0.886794 | + | 0.462164i | \(0.152927\pi\) | |||||||
\(740\) | 10.5488 | − | 11.6281i | 0.387781 | − | 0.427459i | ||||
\(741\) | 0.685875 | + | 0.952039i | 0.0251962 | + | 0.0349740i | ||||
\(742\) | 33.2772 | + | 22.8625i | 1.22165 | + | 0.839310i | ||||
\(743\) | 3.90420i | 0.143231i | 0.997432 | + | 0.0716156i | \(0.0228155\pi\) | ||||
−0.997432 | + | 0.0716156i | \(0.977185\pi\) | |||||||
\(744\) | 9.90610 | + | 24.1547i | 0.363175 | + | 0.885553i | ||||
\(745\) | −8.09919 | − | 16.0566i | −0.296731 | − | 0.588269i | ||||
\(746\) | 1.07515 | + | 40.7947i | 0.0393641 | + | 1.49360i | ||||
\(747\) | 1.75505 | − | 0.554714i | 0.0642141 | − | 0.0202959i | ||||
\(748\) | −18.3192 | − | 47.6749i | −0.669816 | − | 1.74317i | ||||
\(749\) | − | 24.6200i | − | 0.899596i | ||||||
\(750\) | 19.5602 | + | 19.1677i | 0.714237 | + | 0.699904i | ||||
\(751\) | − | 49.8220i | − | 1.81803i | −0.416764 | − | 0.909015i | \(-0.636836\pi\) | ||
0.416764 | − | 0.909015i | \(-0.363164\pi\) | |||||||
\(752\) | 45.1064 | + | 9.55576i | 1.64486 | + | 0.348463i | ||||
\(753\) | 46.7099 | − | 14.9699i | 1.70220 | − | 0.545535i | ||||
\(754\) | −10.4536 | + | 0.275507i | −0.380699 | + | 0.0100334i | ||||
\(755\) | −5.62291 | − | 11.1474i | −0.204639 | − | 0.405696i | ||||
\(756\) | 19.3822 | + | 24.5162i | 0.704923 | + | 0.891647i | ||||
\(757\) | 37.4895i | 1.36258i | 0.732013 | + | 0.681290i | \(0.238581\pi\) | ||||
−0.732013 | + | 0.681290i | \(0.761419\pi\) | |||||||
\(758\) | 15.2864 | − | 22.2499i | 0.555226 | − | 0.808151i | ||||
\(759\) | −7.98764 | + | 5.75451i | −0.289933 | + | 0.208876i | ||||
\(760\) | −1.30768 | − | 2.15108i | −0.0474344 | − | 0.0780280i | ||||
\(761\) | 1.51389 | − | 2.08368i | 0.0548783 | − | 0.0755335i | −0.780696 | − | 0.624911i | \(-0.785135\pi\) |
0.835574 | + | 0.549378i | \(0.185135\pi\) | |||||||
\(762\) | 18.6261 | − | 6.51535i | 0.674752 | − | 0.236026i | ||||
\(763\) | 14.1398 | − | 10.2732i | 0.511895 | − | 0.371913i | ||||
\(764\) | 15.2659 | + | 39.7288i | 0.552300 | + | 1.43734i | ||||
\(765\) | −24.3681 | − | 24.9648i | −0.881029 | − | 0.902603i | ||||
\(766\) | 9.96138 | − | 3.52940i | 0.359919 | − | 0.127523i | ||||
\(767\) | −0.606268 | − | 0.196988i | −0.0218911 | − | 0.00711284i | ||||
\(768\) | 20.5452 | + | 18.5982i | 0.741362 | + | 0.671106i | ||||
\(769\) | −11.0275 | + | 33.9392i | −0.397662 | + | 1.22388i | 0.529207 | + | 0.848493i | \(0.322490\pi\) |
−0.926869 | + | 0.375385i | \(0.877510\pi\) | |||||||
\(770\) | 41.1247 | − | 22.1218i | 1.48203 | − | 0.797215i | ||||
\(771\) | −5.59885 | + | 1.79436i | −0.201637 | + | 0.0646223i | ||||
\(772\) | −22.9613 | − | 6.14414i | −0.826395 | − | 0.221132i | ||||
\(773\) | 12.9150 | + | 9.38328i | 0.464519 | + | 0.337493i | 0.795302 | − | 0.606214i | \(-0.207313\pi\) |
−0.330782 | + | 0.943707i | \(0.607313\pi\) | |||||||
\(774\) | 13.5644 | − | 44.5053i | 0.487564 | − | 1.59971i | ||||
\(775\) | 21.6833 | − | 15.4859i | 0.778885 | − | 0.556271i | ||||
\(776\) | −6.59323 | − | 7.71175i | −0.236683 | − | 0.276836i | ||||
\(777\) | −14.7504 | − | 10.8075i | −0.529167 | − | 0.387717i | ||||
\(778\) | 0.0145834 | + | 0.553340i | 0.000522839 | + | 0.0198382i | ||||
\(779\) | −1.28030 | − | 3.94036i | −0.0458715 | − | 0.141178i | ||||
\(780\) | −5.45533 | + | 12.0019i | −0.195332 | + | 0.429737i | ||||
\(781\) | 13.9098 | − | 42.8098i | 0.497730 | − | 1.53186i | ||||
\(782\) | −8.16284 | − | 2.41644i | −0.291903 | − | 0.0864118i | ||||
\(783\) | −7.23410 | + | 21.3845i | −0.258525 | + | 0.764220i | ||||
\(784\) | −7.08217 | − | 4.08251i | −0.252935 | − | 0.145804i | ||||
\(785\) | 10.6405 | + | 21.0948i | 0.379775 | + | 0.752904i | ||||
\(786\) | 5.91328 | + | 7.76800i | 0.210920 | + | 0.277075i | ||||
\(787\) | 2.41671 | − | 1.75584i | 0.0861465 | − | 0.0625891i | −0.543878 | − | 0.839164i | \(-0.683045\pi\) |
0.630025 | + | 0.776575i | \(0.283045\pi\) | |||||||
\(788\) | −25.1467 | + | 1.32641i | −0.895816 | + | 0.0472516i | ||||
\(789\) | 16.7158 | + | 12.2476i | 0.595099 | + | 0.436025i | ||||
\(790\) | −1.03070 | + | 7.59991i | −0.0366705 | + | 0.270393i | ||||
\(791\) | −30.4576 | + | 22.1287i | −1.08295 | + | 0.786807i | ||||
\(792\) | 15.6550 | + | 38.6134i | 0.556277 | + | 1.37207i | ||||
\(793\) | 13.6586i | 0.485032i | ||||||||
\(794\) | −29.9967 | + | 43.6614i | −1.06454 | + | 1.54948i | ||||
\(795\) | 32.6240 | + | 16.9562i | 1.15705 | + | 0.601374i | ||||
\(796\) | −10.9304 | − | 2.92483i | −0.387418 | − | 0.103668i | ||||
\(797\) | 12.9104 | + | 39.7342i | 0.457310 | + | 1.40746i | 0.868401 | + | 0.495862i | \(0.165148\pi\) |
−0.411091 | + | 0.911594i | \(0.634852\pi\) | |||||||
\(798\) | −2.33297 | + | 1.77594i | −0.0825861 | + | 0.0628675i | ||||
\(799\) | 59.9456i | 2.12072i | ||||||||
\(800\) | 13.6769 | − | 24.7577i | 0.483550 | − | 0.875317i | ||||
\(801\) | −0.0967176 | + | 12.0465i | −0.00341735 | + | 0.425642i | ||||
\(802\) | 25.1291 | + | 32.7374i | 0.887339 | + | 1.15600i | ||||
\(803\) | −51.0010 | + | 16.5712i | −1.79979 | + | 0.584786i | ||||
\(804\) | −2.00511 | − | 0.545174i | −0.0707147 | − | 0.0192268i | ||||
\(805\) | 1.24887 | − | 7.68271i | 0.0440168 | − | 0.270780i | ||||
\(806\) | 10.5723 | + | 7.26350i | 0.372393 | + | 0.255846i | ||||
\(807\) | −38.7091 | − | 0.155389i | −1.36263 | − | 0.00546995i | ||||
\(808\) | −27.7946 | + | 11.5294i | −0.977811 | + | 0.405604i | ||||
\(809\) | 4.88883 | + | 6.72889i | 0.171882 | + | 0.236575i | 0.886264 | − | 0.463181i | \(-0.153292\pi\) |
−0.714382 | + | 0.699756i | \(0.753292\pi\) | |||||||
\(810\) | 20.2495 | + | 19.9989i | 0.711495 | + | 0.702691i | ||||
\(811\) | −9.02298 | + | 12.4191i | −0.316840 | + | 0.436092i | −0.937499 | − | 0.347988i | \(-0.886865\pi\) |
0.620659 | + | 0.784080i | \(0.286865\pi\) | |||||||
\(812\) | −1.37639 | − | 26.0942i | −0.0483018 | − | 0.915726i | ||||
\(813\) | 5.14950 | − | 3.70984i | 0.180601 | − | 0.130110i | ||||
\(814\) | −14.8443 | − | 19.3388i | −0.520294 | − | 0.677823i | ||||
\(815\) | 14.7248 | − | 28.6108i | 0.515786 | − | 1.00219i | ||||
\(816\) | −18.1192 | + | 31.1428i | −0.634298 | + | 1.09022i | ||||
\(817\) | 4.15134 | + | 1.34885i | 0.145237 | + | 0.0471904i | ||||
\(818\) | 10.2704 | − | 34.6938i | 0.359096 | − | 1.21304i | ||||
\(819\) | 14.5649 | + | 4.86205i | 0.508940 | + | 0.169894i | ||||
\(820\) | 31.2773 | − | 34.4776i | 1.09225 | − | 1.20401i | ||||
\(821\) | 1.65555 | − | 0.537920i | 0.0577791 | − | 0.0187736i | −0.279985 | − | 0.960004i | \(-0.590329\pi\) |
0.337764 | + | 0.941231i | \(0.390329\pi\) | |||||||
\(822\) | −0.368539 | − | 16.4979i | −0.0128543 | − | 0.575430i | ||||
\(823\) | −4.02558 | − | 2.92475i | −0.140323 | − | 0.101950i | 0.515409 | − | 0.856944i | \(-0.327640\pi\) |
−0.655732 | + | 0.754994i | \(0.727640\pi\) | |||||||
\(824\) | 8.42306 | − | 7.20137i | 0.293431 | − | 0.250871i | ||||
\(825\) | 34.7049 | − | 24.5761i | 1.20827 | − | 0.855629i | ||||
\(826\) | 0.452149 | − | 1.52738i | 0.0157323 | − | 0.0531443i | ||||
\(827\) | −8.83432 | + | 12.1594i | −0.307199 | + | 0.422824i | −0.934505 | − | 0.355949i | \(-0.884158\pi\) |
0.627306 | + | 0.778773i | \(0.284158\pi\) | |||||||
\(828\) | 6.69433 | + | 1.84903i | 0.232644 | + | 0.0642583i | ||||
\(829\) | −3.49010 | − | 10.7414i | −0.121216 | − | 0.373065i | 0.871976 | − | 0.489548i | \(-0.162838\pi\) |
−0.993193 | + | 0.116482i | \(0.962838\pi\) | |||||||
\(830\) | −1.34102 | + | 1.40215i | −0.0465474 | + | 0.0486694i | ||||
\(831\) | 13.9204 | − | 42.2644i | 0.482892 | − | 1.46614i | ||||
\(832\) | 13.4505 | + | 2.11635i | 0.466311 | + | 0.0733713i | ||||
\(833\) | 3.28424 | − | 10.1079i | 0.113792 | − | 0.350216i | ||||
\(834\) | −9.42119 | − | 26.9333i | −0.326229 | − | 0.932624i | ||||
\(835\) | 23.9748 | − | 3.69736i | 0.829682 | − | 0.127952i | ||||
\(836\) | −3.64889 | + | 1.40210i | −0.126200 | + | 0.0484925i | ||||
\(837\) | 22.5966 | − | 16.0052i | 0.781054 | − | 0.553222i | ||||
\(838\) | 11.3061 | + | 31.9104i | 0.390564 | + | 1.10233i | ||||
\(839\) | 34.3724 | + | 24.9730i | 1.18667 | + | 0.862163i | 0.992908 | − | 0.118886i | \(-0.0379323\pi\) |
0.193758 | + | 0.981049i | \(0.437932\pi\) | |||||||
\(840\) | −30.3390 | − | 12.8369i | −1.04679 | − | 0.442914i | ||||
\(841\) | −8.19117 | + | 5.95124i | −0.282454 | + | 0.205215i | ||||
\(842\) | 7.24083 | + | 4.97468i | 0.249535 | + | 0.171439i | ||||
\(843\) | 10.2070 | + | 0.0409739i | 0.351549 | + | 0.00141122i | ||||
\(844\) | 16.1865 | + | 19.9749i | 0.557164 | + | 0.687564i | ||||
\(845\) | −3.44332 | − | 22.3275i | −0.118454 | − | 0.768091i | ||||
\(846\) | −0.895905 | − | 48.8961i | −0.0308018 | − | 1.68108i | ||||
\(847\) | −12.1851 | − | 37.5018i | −0.418684 | − | 1.28858i | ||||
\(848\) | 7.86992 | − | 37.1486i | 0.270254 | − | 1.27569i | ||||
\(849\) | 0.187807 | − | 46.7847i | 0.00644550 | − | 1.60565i | ||||
\(850\) | 35.1746 | + | 10.7246i | 1.20648 | + | 0.367852i | ||||
\(851\) | −4.06355 | −0.139297 | ||||||||
\(852\) | −29.6873 | + | 11.2709i | −1.01707 | + | 0.386133i | ||||
\(853\) | −10.4364 | + | 3.39101i | −0.357337 | + | 0.116106i | −0.482184 | − | 0.876070i | \(-0.660156\pi\) |
0.124846 | + | 0.992176i | \(0.460156\pi\) | |||||||
\(854\) | −34.1182 | + | 0.899190i | −1.16750 | + | 0.0307697i | ||||
\(855\) | −1.91073 | + | 1.86506i | −0.0653455 | + | 0.0637836i | ||||
\(856\) | −21.3888 | + | 8.87224i | −0.731053 | + | 0.303247i | ||||
\(857\) | 32.7405 | 1.11840 | 0.559198 | − | 0.829034i | \(-0.311109\pi\) | ||||
0.559198 | + | 0.829034i | \(0.311109\pi\) | |||||||
\(858\) | 16.8264 | + | 11.6600i | 0.574445 | + | 0.398066i | ||||
\(859\) | 1.09435 | + | 1.50624i | 0.0373386 | + | 0.0513922i | 0.827278 | − | 0.561793i | \(-0.189888\pi\) |
−0.789940 | + | 0.613185i | \(0.789888\pi\) | |||||||
\(860\) | 10.0177 | + | 48.0092i | 0.341602 | + | 1.63710i | ||||
\(861\) | −43.7351 | − | 32.0444i | −1.49049 | − | 1.09207i | ||||
\(862\) | 8.09191 | + | 22.8386i | 0.275612 | + | 0.777885i | ||||
\(863\) | 11.0627 | + | 15.2264i | 0.376577 | + | 0.518314i | 0.954674 | − | 0.297654i | \(-0.0962042\pi\) |
−0.578096 | + | 0.815969i | \(0.696204\pi\) | |||||||
\(864\) | 14.3139 | − | 25.6732i | 0.486969 | − | 0.873419i | ||||
\(865\) | 56.5575 | + | 9.19374i | 1.92301 | + | 0.312597i | ||||
\(866\) | 49.2147 | − | 17.4372i | 1.67238 | − | 0.592541i | ||||
\(867\) | −16.5258 | − | 5.44301i | −0.561247 | − | 0.184854i | ||||
\(868\) | −17.4476 | + | 26.8869i | −0.592211 | + | 0.912601i | ||||
\(869\) | 11.3264 | + | 3.68016i | 0.384220 | + | 0.124841i | ||||
\(870\) | −4.15125 | − | 23.4312i | −0.140740 | − | 0.794393i | ||||
\(871\) | −0.970952 | + | 0.315481i | −0.0328995 | + | 0.0106897i | ||||
\(872\) | −14.0204 | − | 8.58190i | −0.474789 | − | 0.290620i | ||||
\(873\) | −6.39513 | + | 8.65515i | −0.216442 | + | 0.292933i | ||||
\(874\) | −0.184947 | + | 0.624759i | −0.00625593 | + | 0.0211328i | ||||
\(875\) | −5.66441 | + | 33.1417i | −0.191492 | + | 1.12039i | ||||
\(876\) | 31.6516 | + | 20.7206i | 1.06941 | + | 0.700084i | ||||
\(877\) | 16.0296 | − | 22.0629i | 0.541281 | − | 0.745010i | −0.447516 | − | 0.894276i | \(-0.647691\pi\) |
0.988797 | + | 0.149266i | \(0.0476912\pi\) | |||||||
\(878\) | −0.463458 | − | 17.5851i | −0.0156410 | − | 0.593468i | ||||
\(879\) | −31.4894 | + | 10.0920i | −1.06211 | + | 0.340394i | ||||
\(880\) | −34.0384 | − | 27.7553i | −1.14743 | − | 0.935633i | ||||
\(881\) | −23.4421 | − | 7.61680i | −0.789785 | − | 0.256617i | −0.113772 | − | 0.993507i | \(-0.536293\pi\) |
−0.676012 | + | 0.736890i | \(0.736293\pi\) | |||||||
\(882\) | −2.52781 | + | 8.29380i | −0.0851157 | + | 0.279267i | ||||
\(883\) | 3.57294 | − | 10.9964i | 0.120239 | − | 0.370058i | −0.872765 | − | 0.488141i | \(-0.837675\pi\) |
0.993004 | + | 0.118084i | \(0.0376751\pi\) | |||||||
\(884\) | 0.932456 | + | 17.6779i | 0.0313619 | + | 0.594572i | ||||
\(885\) | 0.238493 | − | 1.43086i | 0.00801686 | − | 0.0480977i | ||||
\(886\) | −15.3719 | − | 20.0261i | −0.516430 | − | 0.672789i | ||||
\(887\) | 9.43702 | + | 12.9889i | 0.316864 | + | 0.436126i | 0.937506 | − | 0.347968i | \(-0.113128\pi\) |
−0.620643 | + | 0.784094i | \(0.713128\pi\) | |||||||
\(888\) | −4.07353 | + | 16.7091i | −0.136699 | + | 0.560722i | ||||
\(889\) | 19.5993 | + | 14.2398i | 0.657341 | + | 0.477586i | ||||
\(890\) | −6.01568 | − | 11.1832i | −0.201646 | − | 0.374863i | ||||
\(891\) | 36.1659 | − | 25.3990i | 1.21160 | − | 0.850898i | ||||
\(892\) | −5.36922 | + | 4.35092i | −0.179775 | + | 0.145679i | ||||
\(893\) | 4.58806 | 0.153533 | ||||||||
\(894\) | 16.1924 | + | 11.2206i | 0.541553 | + | 0.375273i | ||||
\(895\) | −9.32914 | − | 9.40533i | −0.311839 | − | 0.314385i | ||||
\(896\) | −4.40099 | + | 33.7375i | −0.147027 | + | 1.12709i | ||||
\(897\) | 3.24944 | − | 1.04140i | 0.108495 | − | 0.0347714i | ||||
\(898\) | −22.8471 | − | 29.7645i | −0.762418 | − | 0.993255i | ||||
\(899\) | −23.1525 | −0.772179 | ||||||||
\(900\) | −28.8513 | − | 8.22210i | −0.961710 | − | 0.274070i | ||||
\(901\) | 49.3700 | 1.64475 | ||||||||
\(902\) | −44.0137 | − | 57.3396i | −1.46549 | − | 1.90920i | ||||
\(903\) | 54.3958 | − | 17.4332i | 1.81018 | − | 0.580140i | ||||
\(904\) | 30.2003 | + | 18.4857i | 1.00445 | + | 0.614826i | ||||
\(905\) | −2.37310 | − | 15.3879i | −0.0788844 | − | 0.511510i | ||||
\(906\) | 11.2416 | + | 7.78998i | 0.373479 | + | 0.258805i | ||||
\(907\) | 28.2441 | 0.937829 | 0.468914 | − | 0.883244i | \(-0.344645\pi\) | ||||
0.468914 | + | 0.883244i | \(0.344645\pi\) | |||||||
\(908\) | −0.752023 | − | 0.928029i | −0.0249568 | − | 0.0307977i | ||||
\(909\) | 18.5520 | + | 25.9706i | 0.615332 | + | 0.861391i | ||||
\(910\) | −15.9260 | + | 2.88755i | −0.527941 | + | 0.0957213i | ||||
\(911\) | 14.9992 | + | 10.8976i | 0.496946 | + | 0.361052i | 0.807849 | − | 0.589389i | \(-0.200632\pi\) |
−0.310904 | + | 0.950441i | \(0.600632\pi\) | |||||||
\(912\) | 2.38358 | + | 1.38679i | 0.0789281 | + | 0.0459211i | ||||
\(913\) | 1.77085 | + | 2.43737i | 0.0586066 | + | 0.0806651i | ||||
\(914\) | −28.6214 | − | 37.2871i | −0.946713 | − | 1.23335i | ||||
\(915\) | −30.7366 | + | 4.61392i | −1.01612 | + | 0.152531i | ||||
\(916\) | 19.7121 | − | 1.03975i | 0.651306 | − | 0.0343544i | ||||
\(917\) | −3.70378 | + | 11.3991i | −0.122310 | + | 0.376430i | ||||
\(918\) | 36.5107 | + | 11.2882i | 1.20503 | + | 0.372566i | ||||
\(919\) | 42.6615 | + | 13.8616i | 1.40727 | + | 0.457251i | 0.911536 | − | 0.411221i | \(-0.134898\pi\) |
0.495738 | + | 0.868472i | \(0.334898\pi\) | |||||||
\(920\) | −7.12444 | + | 1.68363i | −0.234886 | + | 0.0555077i | ||||
\(921\) | 42.2568 | − | 13.5428i | 1.39241 | − | 0.446250i | ||||
\(922\) | 0.786283 | + | 29.8341i | 0.0258948 | + | 0.982533i | ||||
\(923\) | −9.17055 | + | 12.6222i | −0.301852 | + | 0.415464i | ||||
\(924\) | −28.0180 | + | 42.7987i | −0.921726 | + | 1.40798i | ||||
\(925\) | 17.5526 | + | 0.142759i | 0.577125 | + | 0.00469389i | ||||
\(926\) | 5.28912 | − | 17.8669i | 0.173811 | − | 0.587142i | ||||
\(927\) | −9.45348 | − | 6.98500i | −0.310493 | − | 0.229417i | ||||
\(928\) | −22.1734 | + | 10.5992i | −0.727879 | + | 0.347936i | ||||
\(929\) | −37.3174 | + | 12.1252i | −1.22434 | + | 0.397813i | −0.848662 | − | 0.528935i | \(-0.822591\pi\) |
−0.375682 | + | 0.926749i | \(0.622591\pi\) | |||||||
\(930\) | −12.7740 | + | 26.2449i | −0.418878 | + | 0.860606i | ||||
\(931\) | −0.773625 | − | 0.251366i | −0.0253545 | − | 0.00823818i | ||||
\(932\) | 24.1502 | + | 15.6717i | 0.791065 | + | 0.513343i | ||||
\(933\) | 16.6530 | + | 5.48489i | 0.545194 | + | 0.179567i | ||||
\(934\) | −1.12935 | + | 0.400138i | −0.0369534 | + | 0.0130929i | ||||
\(935\) | 26.1304 | − | 50.7722i | 0.854554 | − | 1.66043i | ||||
\(936\) | −1.02478 | − | 14.4055i | −0.0334960 | − | 0.470858i | ||||
\(937\) | −10.9049 | − | 15.0094i | −0.356249 | − | 0.490335i | 0.592850 | − | 0.805313i | \(-0.298003\pi\) |
−0.949099 | + | 0.314978i | \(0.898003\pi\) | |||||||
\(938\) | −0.851968 | − | 2.40459i | −0.0278177 | − | 0.0785127i | ||||
\(939\) | 28.9027 | + | 21.1768i | 0.943203 | + | 0.691079i | ||||
\(940\) | 25.6082 | + | 44.7391i | 0.835248 | + | 1.45923i | ||||
\(941\) | −20.4766 | − | 28.1837i | −0.667520 | − | 0.918762i | 0.332181 | − | 0.943216i | \(-0.392215\pi\) |
−0.999701 | + | 0.0244536i | \(0.992215\pi\) | |||||||
\(942\) | −21.2731 | − | 14.7413i | −0.693114 | − | 0.480298i | ||||
\(943\) | −12.0485 | −0.392353 | ||||||||
\(944\) | −1.48986 | + | 0.157609i | −0.0484907 | + | 0.00512975i | ||||
\(945\) | −6.02123 | + | 34.4186i | −0.195871 | + | 1.11964i | ||||
\(946\) | 76.1284 | − | 2.00638i | 2.47515 | − | 0.0652329i | ||||
\(947\) | −7.95796 | + | 2.58570i | −0.258599 | + | 0.0840239i | −0.435447 | − | 0.900214i | \(-0.643410\pi\) |
0.176848 | + | 0.984238i | \(0.443410\pi\) | |||||||
\(948\) | −2.98197 | − | 7.85448i | −0.0968500 | − | 0.255102i | ||||
\(949\) | 18.5871 | 0.603363 | ||||||||
\(950\) | 0.820830 | − | 2.69216i | 0.0266312 | − | 0.0873451i | ||||
\(951\) | 0.131694 | − | 32.8065i | 0.00427048 | − | 1.06382i | ||||
\(952\) | −44.0966 | + | 3.49299i | −1.42918 | + | 0.113209i | ||||
\(953\) | −13.8837 | − | 42.7297i | −0.449738 | − | 1.38415i | −0.877203 | − | 0.480119i | \(-0.840593\pi\) |
0.427466 | − | 0.904032i | \(-0.359407\pi\) | |||||||
\(954\) | −40.2698 | + | 0.737848i | −1.30378 | + | 0.0238887i | ||||
\(955\) | −21.7751 | + | 42.3099i | −0.704627 | + | 1.36912i | ||||
\(956\) | −28.4416 | + | 23.0475i | −0.919867 | + | 0.745409i | ||||
\(957\) | −36.9505 | − | 0.148330i | −1.19444 | − | 0.00479481i | ||||
\(958\) | −24.5993 | − | 16.9005i | −0.794766 | − | 0.546030i | ||||
\(959\) | 16.3904 | − | 11.9084i | 0.529275 | − | 0.384541i | ||||
\(960\) | −0.218929 | + | 30.9831i | −0.00706590 | + | 0.999975i | ||||
\(961\) | −2.10416 | − | 1.52876i | −0.0678761 | − | 0.0493149i | ||||
\(962\) | 2.82202 | + | 7.96486i | 0.0909856 | + | 0.256797i | ||||
\(963\) | 14.2763 | + | 19.9852i | 0.460049 | + | 0.644013i | ||||
\(964\) | −5.52848 | − | 14.3876i | −0.178060 | − | 0.463395i | ||||
\(965\) | −11.9683 | − | 23.7271i | −0.385272 | − | 0.763802i | ||||
\(966\) | 2.81526 | + | 8.04827i | 0.0905796 | + | 0.258949i | ||||
\(967\) | 3.52021 | − | 10.8341i | 0.113202 | − | 0.348401i | −0.878365 | − | 0.477990i | \(-0.841366\pi\) |
0.991568 | + | 0.129589i | \(0.0413657\pi\) | |||||||
\(968\) | −28.1888 | + | 24.1002i | −0.906022 | + | 0.774611i | ||||
\(969\) | −1.12160 | + | 3.40535i | −0.0360309 | + | 0.109395i | ||||
\(970\) | 1.52446 | − | 11.2407i | 0.0489474 | − | 0.360917i | ||||
\(971\) | −1.84507 | − | 5.67854i | −0.0592111 | − | 0.182233i | 0.917076 | − | 0.398712i | \(-0.130543\pi\) |
−0.976287 | + | 0.216479i | \(0.930543\pi\) | |||||||
\(972\) | −29.9495 | − | 8.66182i | −0.960631 | − | 0.277828i | ||||
\(973\) | 20.5907 | − | 28.3406i | 0.660106 | − | 0.908558i | ||||
\(974\) | 3.88724 | − | 13.1313i | 0.124555 | − | 0.420753i | ||||
\(975\) | −14.0726 | + | 4.38420i | −0.450683 | + | 0.140407i | ||||
\(976\) | 13.0762 | + | 29.3163i | 0.418560 | + | 0.938391i | ||||
\(977\) | 36.4253 | + | 26.4646i | 1.16535 | + | 0.846676i | 0.990445 | − | 0.137909i | \(-0.0440382\pi\) |
0.174905 | + | 0.984585i | \(0.444038\pi\) | |||||||
\(978\) | 0.787209 | + | 35.2399i | 0.0251722 | + | 1.12685i | ||||
\(979\) | −18.7533 | + | 6.09332i | −0.599359 | + | 0.194744i | ||||
\(980\) | −1.86686 | − | 8.94677i | −0.0596347 | − | 0.285794i | ||||
\(981\) | −5.52082 | + | 16.5384i | −0.176266 | + | 0.528029i | ||||
\(982\) | 6.85899 | − | 23.1700i | 0.218879 | − | 0.739383i | ||||
\(983\) | 17.9764 | + | 5.84088i | 0.573357 | + | 0.186295i | 0.581322 | − | 0.813673i | \(-0.302535\pi\) |
−0.00796540 | + | 0.999968i | \(0.502535\pi\) | |||||||
\(984\) | −12.0781 | + | 49.5428i | −0.385035 | + | 1.57937i | ||||
\(985\) | −19.8268 | − | 19.9887i | −0.631733 | − | 0.636892i | ||||
\(986\) | −19.4558 | − | 25.3465i | −0.619600 | − | 0.807196i | ||||
\(987\) | 48.7150 | − | 35.0956i | 1.55061 | − | 1.11710i | ||||
\(988\) | 1.35301 | − | 0.0713674i | 0.0430451 | − | 0.00227050i | ||||
\(989\) | 7.46112 | − | 10.2693i | 0.237250 | − | 0.326546i | ||||
\(990\) | −20.5550 | + | 41.8041i | −0.653282 | + | 1.32862i | ||||
\(991\) | −15.4639 | − | 21.2843i | −0.491228 | − | 0.676117i | 0.489386 | − | 0.872067i | \(-0.337221\pi\) |
−0.980614 | + | 0.195950i | \(0.937221\pi\) | |||||||
\(992\) | 29.6457 | + | 5.46857i | 0.941251 | + | 0.173627i | ||||
\(993\) | 24.8395 | + | 0.0997125i | 0.788257 | + | 0.00316428i | ||||
\(994\) | −32.1329 | − | 22.0763i | −1.01919 | − | 0.700219i | ||||
\(995\) | −5.69733 | − | 11.2950i | −0.180618 | − | 0.358074i | ||||
\(996\) | 0.557631 | − | 2.05092i | 0.0176692 | − | 0.0649859i | ||||
\(997\) | −28.1735 | + | 9.15413i | −0.892264 | + | 0.289914i | −0.719040 | − | 0.694968i | \(-0.755418\pi\) |
−0.173224 | + | 0.984883i | \(0.555418\pi\) | |||||||
\(998\) | 21.2446 | + | 27.6768i | 0.672485 | + | 0.876092i | ||||
\(999\) | 18.2405 | + | 0.219676i | 0.577102 | + | 0.00695024i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 300.2.r.a.59.12 | ✓ | 224 | |
3.2 | odd | 2 | inner | 300.2.r.a.59.45 | yes | 224 | |
4.3 | odd | 2 | inner | 300.2.r.a.59.34 | yes | 224 | |
12.11 | even | 2 | inner | 300.2.r.a.59.23 | yes | 224 | |
25.14 | even | 10 | inner | 300.2.r.a.239.23 | yes | 224 | |
75.14 | odd | 10 | inner | 300.2.r.a.239.34 | yes | 224 | |
100.39 | odd | 10 | inner | 300.2.r.a.239.45 | yes | 224 | |
300.239 | even | 10 | inner | 300.2.r.a.239.12 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.r.a.59.12 | ✓ | 224 | 1.1 | even | 1 | trivial | |
300.2.r.a.59.23 | yes | 224 | 12.11 | even | 2 | inner | |
300.2.r.a.59.34 | yes | 224 | 4.3 | odd | 2 | inner | |
300.2.r.a.59.45 | yes | 224 | 3.2 | odd | 2 | inner | |
300.2.r.a.239.12 | yes | 224 | 300.239 | even | 10 | inner | |
300.2.r.a.239.23 | yes | 224 | 25.14 | even | 10 | inner | |
300.2.r.a.239.34 | yes | 224 | 75.14 | odd | 10 | inner | |
300.2.r.a.239.45 | yes | 224 | 100.39 | odd | 10 | inner |