Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [572,2,Mod(87,572)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(572, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("572.87");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 572 = 2^{2} \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 572.t (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.56744299562\) |
Analytic rank: | \(0\) |
Dimension: | \(160\) |
Relative dimension: | \(80\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 87.12 | ||
Character | \(\chi\) | \(=\) | 572.87 |
Dual form | 572.2.t.a.263.12 |
$q$-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 \(\left(\mathbb{Z}/572\mathbb{Z}\right)^\times\).
\(n\) | \(287\) | \(353\) | \(365\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.30161 | − | 0.552996i | −0.920379 | − | 0.391027i | ||||
\(3\) | 0.965312 | + | 0.557323i | 0.557323 | + | 0.321771i | 0.752070 | − | 0.659083i | \(-0.229055\pi\) |
−0.194747 | + | 0.980853i | \(0.562389\pi\) | |||||||
\(4\) | 1.38839 | + | 1.43957i | 0.694196 | + | 0.719786i | ||||
\(5\) | −1.84918 | −0.826977 | −0.413489 | − | 0.910509i | \(-0.635690\pi\) | ||||
−0.413489 | + | 0.910509i | \(0.635690\pi\) | |||||||
\(6\) | −0.948265 | − | 1.25923i | −0.387128 | − | 0.514079i | ||||
\(7\) | −0.798405 | − | 1.38288i | −0.301769 | − | 0.522679i | 0.674768 | − | 0.738030i | \(-0.264244\pi\) |
−0.976537 | + | 0.215351i | \(0.930910\pi\) | |||||||
\(8\) | −1.01107 | − | 2.64154i | −0.357467 | − | 0.933926i | ||||
\(9\) | −0.878782 | − | 1.52209i | −0.292927 | − | 0.507365i | ||||
\(10\) | 2.40691 | + | 1.02259i | 0.761133 | + | 0.323370i | ||||
\(11\) | 2.69326 | + | 1.93554i | 0.812050 | + | 0.583588i | ||||
\(12\) | 0.537924 | + | 2.16342i | 0.155285 | + | 0.624525i | ||||
\(13\) | 2.38431 | − | 2.70463i | 0.661290 | − | 0.750131i | ||||
\(14\) | 0.274488 | + | 2.24149i | 0.0733601 | + | 0.599062i | ||||
\(15\) | −1.78503 | − | 1.03059i | −0.460894 | − | 0.266097i | ||||
\(16\) | −0.144739 | + | 3.99738i | −0.0361848 | + | 0.999345i | ||||
\(17\) | −4.11682 | + | 2.37685i | −0.998475 | + | 0.576470i | −0.907797 | − | 0.419411i | \(-0.862237\pi\) |
−0.0906781 | + | 0.995880i | \(0.528903\pi\) | |||||||
\(18\) | 0.302122 | + | 2.46714i | 0.0712107 | + | 0.581511i | ||||
\(19\) | −3.85049 | − | 6.66924i | −0.883362 | − | 1.53003i | −0.847579 | − | 0.530669i | \(-0.821941\pi\) |
−0.0357833 | − | 0.999360i | \(-0.511393\pi\) | |||||||
\(20\) | −2.56738 | − | 2.66202i | −0.574084 | − | 0.595247i | ||||
\(21\) | − | 1.77988i | − | 0.388401i | ||||||
\(22\) | −2.43524 | − | 4.00869i | −0.519195 | − | 0.854656i | ||||
\(23\) | −0.903308 | − | 0.521525i | −0.188353 | − | 0.108746i | 0.402858 | − | 0.915262i | \(-0.368017\pi\) |
−0.591211 | + | 0.806517i | \(0.701350\pi\) | |||||||
\(24\) | 0.496194 | − | 3.11340i | 0.101285 | − | 0.635521i | ||||
\(25\) | −1.58054 | −0.316109 | ||||||||
\(26\) | −4.59911 | + | 2.20187i | −0.901959 | + | 0.431822i | ||||
\(27\) | − | 5.30300i | − | 1.02056i | ||||||
\(28\) | 0.882255 | − | 3.06934i | 0.166731 | − | 0.580050i | ||||
\(29\) | 5.42901 | + | 3.13444i | 1.00814 | + | 0.582051i | 0.910647 | − | 0.413185i | \(-0.135584\pi\) |
0.0974947 | + | 0.995236i | \(0.468917\pi\) | |||||||
\(30\) | 1.75351 | + | 2.32854i | 0.320146 | + | 0.425132i | ||||
\(31\) | − | 7.92719i | − | 1.42377i | −0.702298 | − | 0.711883i | \(-0.747843\pi\) | ||
0.702298 | − | 0.711883i | \(-0.252157\pi\) | |||||||
\(32\) | 2.39893 | − | 5.12300i | 0.424075 | − | 0.905627i | ||||
\(33\) | 1.52112 | + | 3.36942i | 0.264793 | + | 0.586541i | ||||
\(34\) | 6.67289 | − | 0.817150i | 1.14439 | − | 0.140140i | ||||
\(35\) | 1.47639 | + | 2.55719i | 0.249556 | + | 0.432243i | ||||
\(36\) | 0.971073 | − | 3.37833i | 0.161845 | − | 0.563056i | ||||
\(37\) | 2.22649 | − | 3.85640i | 0.366033 | − | 0.633988i | −0.622908 | − | 0.782295i | \(-0.714049\pi\) |
0.988941 | + | 0.148307i | \(0.0473823\pi\) | |||||||
\(38\) | 1.32378 | + | 10.8101i | 0.214746 | + | 1.75363i | ||||
\(39\) | 3.80896 | − | 1.28198i | 0.609922 | − | 0.205281i | ||||
\(40\) | 1.86965 | + | 4.88468i | 0.295617 | + | 0.772335i | ||||
\(41\) | 0.356602 | + | 0.205884i | 0.0556919 | + | 0.0321537i | 0.527587 | − | 0.849501i | \(-0.323097\pi\) |
−0.471896 | + | 0.881654i | \(0.656430\pi\) | |||||||
\(42\) | −0.984265 | + | 2.31671i | −0.151875 | + | 0.357477i | ||||
\(43\) | −1.37379 | − | 2.37947i | −0.209501 | − | 0.362866i | 0.742056 | − | 0.670337i | \(-0.233851\pi\) |
−0.951557 | + | 0.307471i | \(0.900517\pi\) | |||||||
\(44\) | 0.952951 | + | 6.56444i | 0.143663 | + | 0.989627i | ||||
\(45\) | 1.62502 | + | 2.81462i | 0.242244 | + | 0.419579i | ||||
\(46\) | 0.887356 | + | 1.17835i | 0.130834 | + | 0.173738i | ||||
\(47\) | − | 7.30441i | − | 1.06546i | −0.846286 | − | 0.532729i | \(-0.821167\pi\) | ||
0.846286 | − | 0.532729i | \(-0.178833\pi\) | |||||||
\(48\) | −2.36755 | + | 3.77805i | −0.341727 | + | 0.545315i | ||||
\(49\) | 2.22510 | − | 3.85398i | 0.317871 | − | 0.550569i | ||||
\(50\) | 2.05726 | + | 0.874034i | 0.290940 | + | 0.123607i | ||||
\(51\) | −5.29868 | −0.741964 | ||||||||
\(52\) | 7.20388 | − | 0.322697i | 0.998998 | − | 0.0447500i | ||||
\(53\) | 1.01441 | 0.139340 | 0.0696701 | − | 0.997570i | \(-0.477805\pi\) | ||||
0.0696701 | + | 0.997570i | \(0.477805\pi\) | |||||||
\(54\) | −2.93254 | + | 6.90245i | −0.399068 | + | 0.939305i | ||||
\(55\) | −4.98032 | − | 3.57916i | −0.671547 | − | 0.482614i | ||||
\(56\) | −2.84569 | + | 3.50721i | −0.380271 | + | 0.468670i | ||||
\(57\) | − | 8.58386i | − | 1.13696i | ||||||
\(58\) | −5.33314 | − | 7.08205i | −0.700275 | − | 0.929918i | ||||
\(59\) | 3.73111 | − | 2.15416i | 0.485749 | − | 0.280447i | −0.237060 | − | 0.971495i | \(-0.576184\pi\) |
0.722809 | + | 0.691048i | \(0.242851\pi\) | |||||||
\(60\) | −0.994716 | − | 4.00055i | −0.128417 | − | 0.516468i | ||||
\(61\) | −1.81884 | + | 1.05011i | −0.232879 | + | 0.134453i | −0.611899 | − | 0.790936i | \(-0.709594\pi\) |
0.379021 | + | 0.925388i | \(0.376261\pi\) | |||||||
\(62\) | −4.38370 | + | 10.3181i | −0.556731 | + | 1.31040i | ||||
\(63\) | −1.40325 | + | 2.43050i | −0.176793 | + | 0.306214i | ||||
\(64\) | −5.95547 | + | 5.34157i | −0.744434 | + | 0.667696i | ||||
\(65\) | −4.40902 | + | 5.00135i | −0.546872 | + | 0.620341i | ||||
\(66\) | −0.116631 | − | 5.22685i | −0.0143563 | − | 0.643381i | ||||
\(67\) | −8.20917 | − | 4.73957i | −1.00291 | − | 0.579030i | −0.0938020 | − | 0.995591i | \(-0.529902\pi\) |
−0.909108 | + | 0.416561i | \(0.863235\pi\) | |||||||
\(68\) | −9.13739 | − | 2.62647i | −1.10807 | − | 0.318506i | ||||
\(69\) | −0.581316 | − | 1.00687i | −0.0699822 | − | 0.121213i | ||||
\(70\) | −0.507578 | − | 4.14491i | −0.0606671 | − | 0.495411i | ||||
\(71\) | 7.35026 | − | 4.24368i | 0.872316 | − | 0.503632i | 0.00419858 | − | 0.999991i | \(-0.498664\pi\) |
0.868117 | + | 0.496360i | \(0.165330\pi\) | |||||||
\(72\) | −3.13216 | + | 3.86028i | −0.369129 | + | 0.454939i | ||||
\(73\) | 6.65487i | 0.778894i | 0.921049 | + | 0.389447i | \(0.127334\pi\) | ||||
−0.921049 | + | 0.389447i | \(0.872666\pi\) | |||||||
\(74\) | −5.03060 | + | 3.78830i | −0.584796 | + | 0.440381i | ||||
\(75\) | −1.52572 | − | 0.880874i | −0.176175 | − | 0.101715i | ||||
\(76\) | 4.25487 | − | 14.8026i | 0.488067 | − | 1.69797i | ||||
\(77\) | 0.526303 | − | 5.26980i | 0.0599778 | − | 0.600550i | ||||
\(78\) | −5.66672 | − | 0.437696i | −0.641630 | − | 0.0495593i | ||||
\(79\) | 5.74567 | 0.646438 | 0.323219 | − | 0.946324i | \(-0.395235\pi\) | ||||
0.323219 | + | 0.946324i | \(0.395235\pi\) | |||||||
\(80\) | 0.267648 | − | 7.39186i | 0.0299240 | − | 0.826436i | ||||
\(81\) | 0.319140 | − | 0.552767i | 0.0354600 | − | 0.0614185i | ||||
\(82\) | −0.350305 | − | 0.465181i | −0.0386847 | − | 0.0513707i | ||||
\(83\) | −14.0580 | −1.54306 | −0.771531 | − | 0.636192i | \(-0.780509\pi\) | ||||
−0.771531 | + | 0.636192i | \(0.780509\pi\) | |||||||
\(84\) | 2.56226 | − | 2.47117i | 0.279566 | − | 0.269627i | ||||
\(85\) | 7.61272 | − | 4.39521i | 0.825716 | − | 0.476727i | ||||
\(86\) | 0.472303 | + | 3.85685i | 0.0509298 | + | 0.415895i | ||||
\(87\) | 3.49379 | + | 6.05143i | 0.374574 | + | 0.648781i | ||||
\(88\) | 2.38973 | − | 9.07134i | 0.254747 | − | 0.967008i | ||||
\(89\) | −8.42184 | + | 14.5870i | −0.892713 | + | 1.54622i | −0.0561030 | + | 0.998425i | \(0.517868\pi\) |
−0.836610 | + | 0.547799i | \(0.815466\pi\) | |||||||
\(90\) | −0.558676 | − | 4.56218i | −0.0588897 | − | 0.480896i | ||||
\(91\) | −5.64383 | − | 1.13782i | −0.591634 | − | 0.119276i | ||||
\(92\) | −0.503372 | − | 2.02446i | −0.0524801 | − | 0.211064i | ||||
\(93\) | 4.41801 | − | 7.65221i | 0.458126 | − | 0.793498i | ||||
\(94\) | −4.03931 | + | 9.50751i | −0.416623 | + | 0.980625i | ||||
\(95\) | 7.12023 | + | 12.3326i | 0.730521 | + | 1.26530i | ||||
\(96\) | 5.17088 | − | 3.60832i | 0.527751 | − | 0.368272i | ||||
\(97\) | 3.26679 | + | 5.65825i | 0.331692 | + | 0.574508i | 0.982844 | − | 0.184440i | \(-0.0590471\pi\) |
−0.651152 | + | 0.758948i | \(0.725714\pi\) | |||||||
\(98\) | −5.02745 | + | 3.78592i | −0.507849 | + | 0.382436i | ||||
\(99\) | 0.579287 | − | 5.80032i | 0.0582205 | − | 0.582954i | ||||
\(100\) | −2.19441 | − | 2.27531i | −0.219441 | − | 0.227531i | ||||
\(101\) | −0.244316 | − | 0.141056i | −0.0243104 | − | 0.0140356i | 0.487796 | − | 0.872958i | \(-0.337801\pi\) |
−0.512106 | + | 0.858922i | \(0.671134\pi\) | |||||||
\(102\) | 6.89683 | + | 2.93015i | 0.682888 | + | 0.290128i | ||||
\(103\) | 15.3800i | 1.51544i | 0.652582 | + | 0.757718i | \(0.273686\pi\) | ||||
−0.652582 | + | 0.757718i | \(0.726314\pi\) | |||||||
\(104\) | −9.55511 | − | 3.56369i | −0.936956 | − | 0.349448i | ||||
\(105\) | 3.29131i | 0.321199i | ||||||||
\(106\) | −1.32037 | − | 0.560966i | −0.128246 | − | 0.0544858i | ||||
\(107\) | −0.669022 | + | 1.15878i | −0.0646768 | + | 0.112023i | −0.896551 | − | 0.442941i | \(-0.853935\pi\) |
0.831874 | + | 0.554965i | \(0.187268\pi\) | |||||||
\(108\) | 7.63406 | − | 7.36264i | 0.734587 | − | 0.708470i | ||||
\(109\) | 2.84899i | 0.272884i | 0.990648 | + | 0.136442i | \(0.0435667\pi\) | ||||
−0.990648 | + | 0.136442i | \(0.956433\pi\) | |||||||
\(110\) | 4.50319 | + | 7.41278i | 0.429362 | + | 0.706781i | ||||
\(111\) | 4.29852 | − | 2.48175i | 0.407998 | − | 0.235558i | ||||
\(112\) | 5.64345 | − | 2.99137i | 0.533256 | − | 0.282658i | ||||
\(113\) | 0.774542 | + | 1.34155i | 0.0728628 | + | 0.126202i | 0.900155 | − | 0.435570i | \(-0.143453\pi\) |
−0.827292 | + | 0.561772i | \(0.810120\pi\) | |||||||
\(114\) | −4.74684 | + | 11.1729i | −0.444582 | + | 1.04643i | ||||
\(115\) | 1.67038 | + | 0.964392i | 0.155763 | + | 0.0899301i | ||||
\(116\) | 3.02534 | + | 12.1673i | 0.280895 | + | 1.12970i | ||||
\(117\) | −6.21200 | − | 1.25237i | −0.574300 | − | 0.115782i | ||||
\(118\) | −6.04769 | + | 0.740590i | −0.556735 | + | 0.0681768i | ||||
\(119\) | 6.57378 | + | 3.79537i | 0.602617 | + | 0.347921i | ||||
\(120\) | −0.917550 | + | 5.75724i | −0.0837605 | + | 0.525561i | ||||
\(121\) | 3.50735 | + | 10.4259i | 0.318850 | + | 0.947805i | ||||
\(122\) | 2.94814 | − | 0.361023i | 0.266912 | − | 0.0326855i | ||||
\(123\) | 0.229488 | + | 0.397485i | 0.0206923 | + | 0.0358400i | ||||
\(124\) | 11.4118 | − | 11.0060i | 1.02481 | − | 0.988372i | ||||
\(125\) | 12.1686 | 1.08839 | ||||||||
\(126\) | 3.17054 | − | 2.38757i | 0.282454 | − | 0.212702i | ||||
\(127\) | 8.86456 | − | 15.3539i | 0.786603 | − | 1.36244i | −0.141434 | − | 0.989948i | \(-0.545171\pi\) |
0.928037 | − | 0.372488i | \(-0.121495\pi\) | |||||||
\(128\) | 10.7056 | − | 3.65930i | 0.946249 | − | 0.323439i | ||||
\(129\) | − | 3.06258i | − | 0.269645i | ||||||
\(130\) | 8.50456 | − | 4.07165i | 0.745899 | − | 0.357107i | ||||
\(131\) | −5.47271 | −0.478153 | −0.239076 | − | 0.971001i | \(-0.576845\pi\) | ||||
−0.239076 | + | 0.971001i | \(0.576845\pi\) | |||||||
\(132\) | −2.73862 | + | 6.86784i | −0.238366 | + | 0.597768i | ||||
\(133\) | −6.14850 | + | 10.6495i | −0.533142 | + | 0.923430i | ||||
\(134\) | 8.06420 | + | 10.7087i | 0.696641 | + | 0.925092i | ||||
\(135\) | 9.80619i | 0.843982i | ||||||||
\(136\) | 10.4409 | + | 8.47158i | 0.895302 | + | 0.726432i | ||||
\(137\) | −9.15702 | − | 15.8604i | −0.782337 | − | 1.35505i | −0.930577 | − | 0.366096i | \(-0.880694\pi\) |
0.148241 | − | 0.988951i | \(-0.452639\pi\) | |||||||
\(138\) | 0.199854 | + | 1.63202i | 0.0170127 | + | 0.138927i | ||||
\(139\) | 9.02218 | + | 15.6269i | 0.765251 | + | 1.32545i | 0.940114 | + | 0.340861i | \(0.110718\pi\) |
−0.174863 | + | 0.984593i | \(0.555948\pi\) | |||||||
\(140\) | −1.63145 | + | 5.67575i | −0.137882 | + | 0.479688i | ||||
\(141\) | 4.07092 | − | 7.05103i | 0.342833 | − | 0.593804i | ||||
\(142\) | −11.9139 | + | 1.45896i | −0.999795 | + | 0.122433i | ||||
\(143\) | 11.6565 | − | 2.66935i | 0.974768 | − | 0.223223i | ||||
\(144\) | 6.21159 | − | 3.29252i | 0.517632 | − | 0.274377i | ||||
\(145\) | −10.0392 | − | 5.79614i | −0.833710 | − | 0.481343i | ||||
\(146\) | 3.68012 | − | 8.66207i | 0.304569 | − | 0.716878i | ||||
\(147\) | 4.29583 | − | 2.48020i | 0.354314 | − | 0.204563i | ||||
\(148\) | 8.64281 | − | 2.14899i | 0.710435 | − | 0.176646i | ||||
\(149\) | −10.4707 | + | 6.04526i | −0.857793 | + | 0.495247i | −0.863272 | − | 0.504738i | \(-0.831589\pi\) |
0.00547986 | + | 0.999985i | \(0.498256\pi\) | |||||||
\(150\) | 1.49877 | + | 1.99027i | 0.122374 | + | 0.162505i | ||||
\(151\) | 15.7601 | 1.28254 | 0.641269 | − | 0.767316i | \(-0.278408\pi\) | ||||
0.641269 | + | 0.767316i | \(0.278408\pi\) | |||||||
\(152\) | −13.7240 | + | 16.9143i | −1.11316 | + | 1.37193i | ||||
\(153\) | 7.23557 | + | 4.17746i | 0.584961 | + | 0.337727i | ||||
\(154\) | −3.59922 | + | 6.56820i | −0.290034 | + | 0.529281i | ||||
\(155\) | 14.6588i | 1.17742i | ||||||||
\(156\) | 7.13384 | + | 3.70339i | 0.571164 | + | 0.296508i | ||||
\(157\) | −20.9722 | −1.67377 | −0.836884 | − | 0.547381i | \(-0.815625\pi\) | ||||
−0.836884 | + | 0.547381i | \(0.815625\pi\) | |||||||
\(158\) | −7.47863 | − | 3.17733i | −0.594968 | − | 0.252775i | ||||
\(159\) | 0.979224 | + | 0.565355i | 0.0776575 | + | 0.0448356i | ||||
\(160\) | −4.43604 | + | 9.47334i | −0.350700 | + | 0.748933i | ||||
\(161\) | 1.66555i | 0.131264i | ||||||||
\(162\) | −0.721075 | + | 0.543005i | −0.0566530 | + | 0.0426625i | ||||
\(163\) | −6.82798 | + | 3.94214i | −0.534809 | + | 0.308772i | −0.742972 | − | 0.669322i | \(-0.766585\pi\) |
0.208164 | + | 0.978094i | \(0.433251\pi\) | |||||||
\(164\) | 0.198718 | + | 0.799203i | 0.0155173 | + | 0.0624072i | ||||
\(165\) | −2.81282 | − | 6.23066i | −0.218978 | − | 0.485056i | ||||
\(166\) | 18.2980 | + | 7.77399i | 1.42020 | + | 0.603379i | ||||
\(167\) | −4.98810 | + | 8.63965i | −0.385991 | + | 0.668556i | −0.991906 | − | 0.126973i | \(-0.959474\pi\) |
0.605915 | + | 0.795529i | \(0.292807\pi\) | |||||||
\(168\) | −4.70162 | + | 1.79958i | −0.362738 | + | 0.138841i | ||||
\(169\) | −1.63009 | − | 12.8974i | −0.125392 | − | 0.992107i | ||||
\(170\) | −12.3393 | + | 1.51105i | −0.946385 | + | 0.115893i | ||||
\(171\) | −6.76748 | + | 11.7216i | −0.517522 | + | 0.896374i | ||||
\(172\) | 1.51807 | − | 5.28131i | 0.115752 | − | 0.402696i | ||||
\(173\) | 5.40454 | − | 3.12031i | 0.410900 | − | 0.237233i | −0.280277 | − | 0.959919i | \(-0.590426\pi\) |
0.691176 | + | 0.722686i | \(0.257093\pi\) | |||||||
\(174\) | −1.20115 | − | 9.80867i | −0.0910591 | − | 0.743593i | ||||
\(175\) | 1.26191 | + | 2.18570i | 0.0953918 | + | 0.165223i | ||||
\(176\) | −8.12692 | + | 10.4859i | −0.612590 | + | 0.790401i | ||||
\(177\) | 4.80224 | 0.360959 | ||||||||
\(178\) | 19.0285 | − | 14.3294i | 1.42625 | − | 1.07404i | ||||
\(179\) | 16.7679 | + | 9.68096i | 1.25329 | + | 0.723589i | 0.971762 | − | 0.235963i | \(-0.0758245\pi\) |
0.281531 | + | 0.959552i | \(0.409158\pi\) | |||||||
\(180\) | −1.79569 | + | 6.24714i | −0.133843 | + | 0.465634i | ||||
\(181\) | 2.15037 | 0.159836 | 0.0799179 | − | 0.996801i | \(-0.474534\pi\) | ||||
0.0799179 | + | 0.996801i | \(0.474534\pi\) | |||||||
\(182\) | 6.71687 | + | 4.60202i | 0.497887 | + | 0.341124i | ||||
\(183\) | −2.34100 | −0.173052 | ||||||||
\(184\) | −0.464322 | + | 2.91342i | −0.0342303 | + | 0.214780i | ||||
\(185\) | −4.11718 | + | 7.13116i | −0.302701 | + | 0.524294i | ||||
\(186\) | −9.98218 | + | 7.51708i | −0.731929 | + | 0.551179i | ||||
\(187\) | −15.6882 | − | 1.56680i | −1.14723 | − | 0.114576i | ||||
\(188\) | 10.5152 | − | 10.1414i | 0.766902 | − | 0.739636i | ||||
\(189\) | −7.33340 | + | 4.23394i | −0.533427 | + | 0.307974i | ||||
\(190\) | −2.44791 | − | 19.9897i | −0.177590 | − | 1.45021i | ||||
\(191\) | −10.9295 | + | 6.31013i | −0.790828 | + | 0.456585i | −0.840254 | − | 0.542193i | \(-0.817594\pi\) |
0.0494258 | + | 0.998778i | \(0.484261\pi\) | |||||||
\(192\) | −8.72587 | + | 1.83715i | −0.629735 | + | 0.132585i | ||||
\(193\) | 23.1318 | + | 13.3551i | 1.66506 | + | 0.961325i | 0.970240 | + | 0.242144i | \(0.0778505\pi\) |
0.694823 | + | 0.719181i | \(0.255483\pi\) | |||||||
\(194\) | −1.12311 | − | 9.17137i | −0.0806345 | − | 0.658466i | ||||
\(195\) | −7.04345 | + | 2.37061i | −0.504392 | + | 0.169763i | ||||
\(196\) | 8.63740 | − | 2.14765i | 0.616957 | − | 0.153403i | ||||
\(197\) | 8.22265 | + | 4.74735i | 0.585840 | + | 0.338235i | 0.763451 | − | 0.645866i | \(-0.223504\pi\) |
−0.177611 | + | 0.984101i | \(0.556837\pi\) | |||||||
\(198\) | −3.96156 | + | 7.22943i | −0.281536 | + | 0.513773i | ||||
\(199\) | 7.82713 | − | 4.51900i | 0.554851 | − | 0.320343i | −0.196225 | − | 0.980559i | \(-0.562868\pi\) |
0.751076 | + | 0.660216i | \(0.229535\pi\) | |||||||
\(200\) | 1.59804 | + | 4.17507i | 0.112999 | + | 0.295222i | ||||
\(201\) | −5.28294 | − | 9.15032i | −0.372630 | − | 0.645414i | ||||
\(202\) | 0.240002 | + | 0.318706i | 0.0168865 | + | 0.0224241i | ||||
\(203\) | − | 10.0102i | − | 0.702579i | ||||||
\(204\) | −7.35665 | − | 7.62784i | −0.515068 | − | 0.534056i | ||||
\(205\) | −0.659420 | − | 0.380717i | −0.0460559 | − | 0.0265904i | ||||
\(206\) | 8.50508 | − | 20.0188i | 0.592577 | − | 1.39478i | ||||
\(207\) | 1.83323i | 0.127418i | ||||||||
\(208\) | 10.4663 | + | 9.92248i | 0.725711 | + | 0.688000i | ||||
\(209\) | 2.53822 | − | 25.4148i | 0.175572 | − | 1.75798i | ||||
\(210\) | 1.82008 | − | 4.28401i | 0.125598 | − | 0.295625i | ||||
\(211\) | 6.63709 | − | 11.4958i | 0.456916 | − | 0.791402i | −0.541880 | − | 0.840456i | \(-0.682287\pi\) |
0.998796 | + | 0.0490539i | \(0.0156206\pi\) | |||||||
\(212\) | 1.40840 | + | 1.46032i | 0.0967294 | + | 0.100295i | ||||
\(213\) | 9.46040 | 0.648216 | ||||||||
\(214\) | 1.51161 | − | 1.13832i | 0.103331 | − | 0.0778137i | ||||
\(215\) | 2.54038 | + | 4.40007i | 0.173252 | + | 0.300082i | ||||
\(216\) | −14.0081 | + | 5.36171i | −0.953130 | + | 0.364818i | ||||
\(217\) | −10.9623 | + | 6.32911i | −0.744172 | + | 0.429648i | ||||
\(218\) | 1.57548 | − | 3.70828i | 0.106705 | − | 0.251157i | ||||
\(219\) | −3.70892 | + | 6.42403i | −0.250625 | + | 0.434096i | ||||
\(220\) | −1.76218 | − | 12.1388i | −0.118806 | − | 0.818399i | ||||
\(221\) | −3.38729 | + | 16.8016i | −0.227854 | + | 1.13020i | ||||
\(222\) | −6.96741 | + | 0.853216i | −0.467622 | + | 0.0572641i | ||||
\(223\) | 13.3373 | + | 7.70030i | 0.893132 | + | 0.515650i | 0.874966 | − | 0.484185i | \(-0.160884\pi\) |
0.0181666 | + | 0.999835i | \(0.494217\pi\) | |||||||
\(224\) | −8.99980 | + | 0.772804i | −0.601325 | + | 0.0516351i | ||||
\(225\) | 1.38895 | + | 2.40574i | 0.0925969 | + | 0.160382i | ||||
\(226\) | −0.266284 | − | 2.17449i | −0.0177130 | − | 0.144645i | ||||
\(227\) | −14.7939 | − | 25.6238i | −0.981906 | − | 1.70071i | −0.654951 | − | 0.755671i | \(-0.727311\pi\) |
−0.326955 | − | 0.945040i | \(-0.606023\pi\) | |||||||
\(228\) | 12.3571 | − | 11.9178i | 0.818369 | − | 0.789273i | ||||
\(229\) | −0.333607 | −0.0220454 | −0.0110227 | − | 0.999939i | \(-0.503509\pi\) | ||||
−0.0110227 | + | 0.999939i | \(0.503509\pi\) | |||||||
\(230\) | −1.64088 | − | 2.17898i | −0.108196 | − | 0.143677i | ||||
\(231\) | 3.44503 | − | 4.79368i | 0.226666 | − | 0.315401i | ||||
\(232\) | 2.79064 | − | 17.5101i | 0.183215 | − | 1.14959i | ||||
\(233\) | − | 7.45717i | − | 0.488536i | −0.969708 | − | 0.244268i | \(-0.921452\pi\) | ||
0.969708 | − | 0.244268i | \(-0.0785476\pi\) | |||||||
\(234\) | 7.39306 | + | 5.06531i | 0.483300 | + | 0.331130i | ||||
\(235\) | 13.5071i | 0.881109i | ||||||||
\(236\) | 8.28130 | + | 2.38039i | 0.539067 | + | 0.154950i | ||||
\(237\) | 5.54636 | + | 3.20219i | 0.360275 | + | 0.208005i | ||||
\(238\) | −6.45769 | − | 8.57537i | −0.418590 | − | 0.555859i | ||||
\(239\) | −11.2274 | −0.726239 | −0.363119 | − | 0.931743i | \(-0.618288\pi\) | ||||
−0.363119 | + | 0.931743i | \(0.618288\pi\) | |||||||
\(240\) | 4.37802 | − | 6.98629i | 0.282600 | − | 0.450963i | ||||
\(241\) | −3.30264 | + | 1.90678i | −0.212741 | + | 0.122826i | −0.602585 | − | 0.798055i | \(-0.705862\pi\) |
0.389843 | + | 0.920881i | \(0.372529\pi\) | |||||||
\(242\) | 1.20024 | − | 15.5100i | 0.0771546 | − | 0.997019i | ||||
\(243\) | −13.1615 | + | 7.59877i | −0.844308 | + | 0.487462i | ||||
\(244\) | −4.03697 | − | 1.16039i | −0.258441 | − | 0.0742866i | ||||
\(245\) | −4.11460 | + | 7.12670i | −0.262872 | + | 0.455308i | ||||
\(246\) | −0.0788971 | − | 0.644278i | −0.00503030 | − | 0.0410777i | ||||
\(247\) | −27.2186 | − | 5.48740i | −1.73188 | − | 0.349155i | ||||
\(248\) | −20.9400 | + | 8.01495i | −1.32969 | + | 0.508950i | ||||
\(249\) | −13.5703 | − | 7.83483i | −0.859984 | − | 0.496512i | ||||
\(250\) | −15.8388 | − | 6.72918i | −1.00173 | − | 0.425591i | ||||
\(251\) | 5.14014 | − | 2.96766i | 0.324443 | − | 0.187317i | −0.328928 | − | 0.944355i | \(-0.606688\pi\) |
0.653371 | + | 0.757038i | \(0.273354\pi\) | |||||||
\(252\) | −5.44713 | + | 1.35440i | −0.343137 | + | 0.0853194i | ||||
\(253\) | −1.42341 | − | 3.15300i | −0.0894893 | − | 0.198227i | ||||
\(254\) | −20.0289 | + | 15.0827i | −1.25672 | + | 0.946375i | ||||
\(255\) | 9.79821 | 0.613587 | ||||||||
\(256\) | −15.9581 | − | 1.15715i | −0.997381 | − | 0.0723221i | ||||
\(257\) | 12.0556 | − | 20.8809i | 0.752008 | − | 1.30252i | −0.194840 | − | 0.980835i | \(-0.562419\pi\) |
0.946848 | − | 0.321681i | \(-0.104248\pi\) | |||||||
\(258\) | −1.69359 | + | 3.98629i | −0.105439 | + | 0.248176i | ||||
\(259\) | −7.11057 | −0.441830 | ||||||||
\(260\) | −13.3212 | + | 0.596723i | −0.826149 | + | 0.0370072i | ||||
\(261\) | − | 11.0180i | − | 0.681994i | ||||||
\(262\) | 7.12335 | + | 3.02639i | 0.440082 | + | 0.186971i | ||||
\(263\) | 10.2032 | − | 17.6725i | 0.629157 | − | 1.08973i | −0.358564 | − | 0.933505i | \(-0.616734\pi\) |
0.987721 | − | 0.156227i | \(-0.0499331\pi\) | |||||||
\(264\) | 7.36251 | − | 7.42482i | 0.453131 | − | 0.456966i | ||||
\(265\) | −1.87583 | −0.115231 | ||||||||
\(266\) | 13.8921 | − | 10.4614i | 0.851779 | − | 0.641432i | ||||
\(267\) | −16.2594 | + | 9.38737i | −0.995059 | + | 0.574498i | ||||
\(268\) | −4.57459 | − | 18.3981i | −0.279438 | − | 1.12384i | ||||
\(269\) | −0.317380 | − | 0.549719i | −0.0193510 | − | 0.0335170i | 0.856188 | − | 0.516665i | \(-0.172827\pi\) |
−0.875539 | + | 0.483148i | \(0.839493\pi\) | |||||||
\(270\) | 5.42278 | − | 12.7639i | 0.330020 | − | 0.776784i | ||||
\(271\) | 7.14235 | − | 12.3709i | 0.433867 | − | 0.751479i | −0.563336 | − | 0.826228i | \(-0.690482\pi\) |
0.997202 | + | 0.0747490i | \(0.0238155\pi\) | |||||||
\(272\) | −8.90529 | − | 16.8005i | −0.539963 | − | 1.01868i | ||||
\(273\) | −4.81392 | − | 4.24379i | −0.291352 | − | 0.256846i | ||||
\(274\) | 3.14814 | + | 25.7079i | 0.190186 | + | 1.55307i | ||||
\(275\) | −4.25682 | − | 3.05921i | −0.256696 | − | 0.184477i | ||||
\(276\) | 0.642367 | − | 2.23478i | 0.0386659 | − | 0.134518i | ||||
\(277\) | 14.9690 | − | 8.64234i | 0.899399 | − | 0.519268i | 0.0223936 | − | 0.999749i | \(-0.492871\pi\) |
0.877005 | + | 0.480481i | \(0.159538\pi\) | |||||||
\(278\) | −3.10179 | − | 25.3294i | −0.186033 | − | 1.51915i | ||||
\(279\) | −12.0659 | + | 6.96627i | −0.722369 | + | 0.417060i | ||||
\(280\) | 5.26218 | − | 6.48545i | 0.314475 | − | 0.387580i | ||||
\(281\) | 20.0079i | 1.19357i | 0.802400 | + | 0.596786i | \(0.203556\pi\) | ||||
−0.802400 | + | 0.596786i | \(0.796444\pi\) | |||||||
\(282\) | −9.19795 | + | 6.92652i | −0.547730 | + | 0.412468i | ||||
\(283\) | 6.47890 | − | 11.2218i | 0.385131 | − | 0.667066i | −0.606657 | − | 0.794964i | \(-0.707490\pi\) |
0.991787 | + | 0.127898i | \(0.0408231\pi\) | |||||||
\(284\) | 16.3141 | + | 4.68935i | 0.968065 | + | 0.278262i | ||||
\(285\) | 15.8731i | 0.940240i | ||||||||
\(286\) | −16.6484 | − | 2.97154i | −0.984442 | − | 0.175711i | ||||
\(287\) | − | 0.657516i | − | 0.0388120i | ||||||
\(288\) | −9.90583 | + | 0.850603i | −0.583706 | + | 0.0501223i | ||||
\(289\) | 2.79879 | − | 4.84764i | 0.164635 | − | 0.285155i | ||||
\(290\) | 9.86191 | + | 13.0960i | 0.579111 | + | 0.769021i | ||||
\(291\) | 7.28263i | 0.426915i | ||||||||
\(292\) | −9.58018 | + | 9.23957i | −0.560637 | + | 0.540705i | ||||
\(293\) | 8.79700 | − | 5.07895i | 0.513926 | − | 0.296716i | −0.220520 | − | 0.975383i | \(-0.570775\pi\) |
0.734446 | + | 0.678667i | \(0.237442\pi\) | |||||||
\(294\) | −6.96304 | + | 0.852682i | −0.406093 | + | 0.0497294i | ||||
\(295\) | −6.89948 | + | 3.98341i | −0.401703 | + | 0.231923i | ||||
\(296\) | −12.4380 | − | 1.98228i | −0.722943 | − | 0.115218i | ||||
\(297\) | 10.2642 | − | 14.2824i | 0.595588 | − | 0.828748i | ||||
\(298\) | 16.9718 | − | 2.07833i | 0.983149 | − | 0.120395i | ||||
\(299\) | −3.56431 | + | 1.19964i | −0.206129 | + | 0.0693769i | ||||
\(300\) | −0.850212 | − | 3.41938i | −0.0490870 | − | 0.197418i | ||||
\(301\) | −2.19368 | + | 3.79957i | −0.126442 | + | 0.219003i | ||||
\(302\) | −20.5135 | − | 8.71527i | −1.18042 | − | 0.501507i | ||||
\(303\) | −0.157228 | − | 0.272326i | −0.00903249 | − | 0.0156447i | ||||
\(304\) | 27.2168 | − | 14.4266i | 1.56099 | − | 0.827420i | ||||
\(305\) | 3.36336 | − | 1.94184i | 0.192586 | − | 0.111189i | ||||
\(306\) | −7.10779 | − | 9.43867i | −0.406325 | − | 0.539573i | ||||
\(307\) | −8.65127 | −0.493754 | −0.246877 | − | 0.969047i | \(-0.579404\pi\) | ||||
−0.246877 | + | 0.969047i | \(0.579404\pi\) | |||||||
\(308\) | 8.31698 | − | 6.55890i | 0.473904 | − | 0.373728i | ||||
\(309\) | −8.57163 | + | 14.8465i | −0.487623 | + | 0.844588i | ||||
\(310\) | 8.10624 | − | 19.0801i | 0.460404 | − | 1.08367i | ||||
\(311\) | − | 12.7132i | − | 0.720899i | −0.932779 | − | 0.360449i | \(-0.882623\pi\) | ||
0.932779 | − | 0.360449i | \(-0.117377\pi\) | |||||||
\(312\) | −7.23754 | − | 8.76536i | −0.409745 | − | 0.496241i | ||||
\(313\) | 22.1702 | 1.25313 | 0.626566 | − | 0.779368i | \(-0.284460\pi\) | ||||
0.626566 | + | 0.779368i | \(0.284460\pi\) | |||||||
\(314\) | 27.2977 | + | 11.5976i | 1.54050 | + | 0.654488i | ||||
\(315\) | 2.59485 | − | 4.49442i | 0.146203 | − | 0.253232i | ||||
\(316\) | 7.97724 | + | 8.27131i | 0.448755 | + | 0.465297i | ||||
\(317\) | −21.6737 | −1.21732 | −0.608658 | − | 0.793432i | \(-0.708292\pi\) | ||||
−0.608658 | + | 0.793432i | \(0.708292\pi\) | |||||||
\(318\) | −0.961932 | − | 1.27738i | −0.0539424 | − | 0.0716319i | ||||
\(319\) | 8.55492 | + | 18.9500i | 0.478983 | + | 1.06099i | ||||
\(320\) | 11.0127 | − | 9.87750i | 0.615630 | − | 0.552169i | ||||
\(321\) | −1.29163 | + | 0.745723i | −0.0720917 | + | 0.0416222i | ||||
\(322\) | 0.921044 | − | 2.16791i | 0.0513278 | − | 0.120813i | ||||
\(323\) | 31.7035 | + | 18.3040i | 1.76403 | + | 1.01846i | ||||
\(324\) | 1.23884 | − | 0.308031i | 0.0688244 | − | 0.0171129i | ||||
\(325\) | −3.76851 | + | 4.27479i | −0.209040 | + | 0.237123i | ||||
\(326\) | 11.0674 | − | 1.35529i | 0.612965 | − | 0.0750626i | ||||
\(327\) | −1.58781 | + | 2.75017i | −0.0878060 | + | 0.152084i | ||||
\(328\) | 0.183302 | − | 1.15014i | 0.0101212 | − | 0.0635060i | ||||
\(329\) | −10.1011 | + | 5.83188i | −0.556892 | + | 0.321522i | ||||
\(330\) | 0.215671 | + | 9.66538i | 0.0118723 | + | 0.532062i | ||||
\(331\) | −8.69601 | + | 5.02064i | −0.477976 | + | 0.275960i | −0.719573 | − | 0.694417i | \(-0.755662\pi\) |
0.241597 | + | 0.970377i | \(0.422329\pi\) | |||||||
\(332\) | −19.5180 | − | 20.2375i | −1.07119 | − | 1.11067i | ||||
\(333\) | −7.82641 | −0.428884 | ||||||||
\(334\) | 11.2703 | − | 8.48707i | 0.616681 | − | 0.464392i | ||||
\(335\) | 15.1802 | + | 8.76430i | 0.829384 | + | 0.478845i | ||||
\(336\) | 7.11485 | + | 0.257618i | 0.388147 | + | 0.0140542i | ||||
\(337\) | − | 6.95326i | − | 0.378768i | −0.981903 | − | 0.189384i | \(-0.939351\pi\) | ||
0.981903 | − | 0.189384i | \(-0.0606492\pi\) | |||||||
\(338\) | −5.01046 | + | 17.6888i | −0.272533 | + | 0.962146i | ||||
\(339\) | 1.72668i | 0.0937804i | ||||||||
\(340\) | 16.8967 | + | 4.85680i | 0.916350 | + | 0.263397i | ||||
\(341\) | 15.3434 | − | 21.3500i | 0.830893 | − | 1.15617i | ||||
\(342\) | 15.2906 | − | 11.5146i | 0.826823 | − | 0.622639i | ||||
\(343\) | −18.2838 | −0.987232 | ||||||||
\(344\) | −4.89648 | + | 6.03474i | −0.264000 | + | 0.325371i | ||||
\(345\) | 1.07496 | + | 1.86188i | 0.0578737 | + | 0.100240i | ||||
\(346\) | −8.76014 | + | 1.07275i | −0.470948 | + | 0.0576714i | ||||
\(347\) | 8.89416 | + | 15.4051i | 0.477463 | + | 0.826991i | 0.999666 | − | 0.0258304i | \(-0.00822300\pi\) |
−0.522203 | + | 0.852821i | \(0.674890\pi\) | |||||||
\(348\) | −3.86072 | + | 13.4313i | −0.206956 | + | 0.719994i | ||||
\(349\) | −23.5778 | − | 13.6126i | −1.26209 | − | 0.728668i | −0.288611 | − | 0.957446i | \(-0.593194\pi\) |
−0.973479 | + | 0.228779i | \(0.926527\pi\) | |||||||
\(350\) | −0.433841 | − | 3.54277i | −0.0231898 | − | 0.189369i | ||||
\(351\) | −14.3427 | − | 12.6440i | −0.765555 | − | 0.674888i | ||||
\(352\) | 16.3767 | − | 9.15437i | 0.872883 | − | 0.487930i | ||||
\(353\) | −13.8504 | + | 23.9896i | −0.737183 | + | 1.27684i | 0.216576 | + | 0.976266i | \(0.430511\pi\) |
−0.953759 | + | 0.300573i | \(0.902822\pi\) | |||||||
\(354\) | −6.25066 | − | 2.65562i | −0.332219 | − | 0.141145i | ||||
\(355\) | −13.5919 | + | 7.84731i | −0.721385 | + | 0.416492i | ||||
\(356\) | −32.6919 | + | 8.12869i | −1.73267 | + | 0.430820i | ||||
\(357\) | 4.23050 | + | 7.32743i | 0.223902 | + | 0.387809i | ||||
\(358\) | −16.4718 | − | 21.8735i | −0.870562 | − | 1.15605i | ||||
\(359\) | 15.5731 | 0.821919 | 0.410960 | − | 0.911654i | \(-0.365194\pi\) | ||||
0.410960 | + | 0.911654i | \(0.365194\pi\) | |||||||
\(360\) | 5.79193 | − | 7.13835i | 0.305261 | − | 0.376224i | ||||
\(361\) | −20.1525 | + | 34.9052i | −1.06066 | + | 1.83711i | ||||
\(362\) | −2.79895 | − | 1.18915i | −0.147109 | − | 0.0625001i | ||||
\(363\) | −2.42488 | + | 12.0189i | −0.127273 | + | 0.630830i | ||||
\(364\) | −6.19786 | − | 9.70444i | −0.324856 | − | 0.508651i | ||||
\(365\) | − | 12.3060i | − | 0.644128i | ||||||
\(366\) | 3.04708 | + | 1.29456i | 0.159273 | + | 0.0676679i | ||||
\(367\) | −16.6715 | − | 9.62529i | −0.870244 | − | 0.502436i | −0.00281498 | − | 0.999996i | \(-0.500896\pi\) |
−0.867429 | + | 0.497560i | \(0.834229\pi\) | |||||||
\(368\) | 2.21548 | − | 3.53538i | 0.115490 | − | 0.184294i | ||||
\(369\) | − | 0.723710i | − | 0.0376748i | ||||||
\(370\) | 9.30248 | − | 7.00523i | 0.483613 | − | 0.364185i | ||||
\(371\) | −0.809912 | − | 1.40281i | −0.0420485 | − | 0.0728302i | ||||
\(372\) | 17.1498 | − | 4.26422i | 0.889178 | − | 0.221090i | ||||
\(373\) | −7.97094 | + | 4.60202i | −0.412719 | + | 0.238284i | −0.691958 | − | 0.721938i | \(-0.743251\pi\) |
0.279238 | + | 0.960222i | \(0.409918\pi\) | |||||||
\(374\) | 19.5535 | + | 10.7149i | 1.01109 | + | 0.554052i | ||||
\(375\) | 11.7465 | + | 6.78184i | 0.606586 | + | 0.350213i | ||||
\(376\) | −19.2949 | + | 7.38527i | −0.995058 | + | 0.380866i | ||||
\(377\) | 21.4220 | − | 7.20999i | 1.10329 | − | 0.371334i | ||||
\(378\) | 11.8866 | − | 1.45561i | 0.611381 | − | 0.0748686i | ||||
\(379\) | 27.9886 | + | 16.1592i | 1.43768 | + | 0.830043i | 0.997688 | − | 0.0679598i | \(-0.0216489\pi\) |
0.439989 | + | 0.898003i | \(0.354982\pi\) | |||||||
\(380\) | −7.86801 | + | 27.3726i | −0.403621 | + | 1.40418i | ||||
\(381\) | 17.1141 | − | 9.88085i | 0.876784 | − | 0.506211i | ||||
\(382\) | 17.7154 | − | 2.16940i | 0.906399 | − | 0.110996i | ||||
\(383\) | 11.7580 | − | 6.78846i | 0.600803 | − | 0.346874i | −0.168554 | − | 0.985692i | \(-0.553910\pi\) |
0.769358 | + | 0.638818i | \(0.220576\pi\) | |||||||
\(384\) | 12.3736 | + | 2.43411i | 0.631440 | + | 0.124215i | ||||
\(385\) | −0.973228 | + | 9.74480i | −0.0496003 | + | 0.496641i | ||||
\(386\) | −22.7233 | − | 30.1750i | −1.15659 | − | 1.53587i | ||||
\(387\) | −2.41452 | + | 4.18208i | −0.122737 | + | 0.212587i | ||||
\(388\) | −3.60987 | + | 12.5586i | −0.183264 | + | 0.637568i | ||||
\(389\) | 1.16488 | 0.0590616 | 0.0295308 | − | 0.999564i | \(-0.490599\pi\) | ||||
0.0295308 | + | 0.999564i | \(0.490599\pi\) | |||||||
\(390\) | 10.4788 | + | 0.809377i | 0.530614 | + | 0.0409844i | ||||
\(391\) | 4.95834 | 0.250754 | ||||||||
\(392\) | −12.4302 | − | 1.98104i | −0.627819 | − | 0.100058i | ||||
\(393\) | −5.28287 | − | 3.05007i | −0.266486 | − | 0.153856i | ||||
\(394\) | −8.07745 | − | 10.7263i | −0.406936 | − | 0.540383i | ||||
\(395\) | −10.6248 | −0.534590 | ||||||||
\(396\) | 9.15426 | − | 7.21919i | 0.460019 | − | 0.362778i | ||||
\(397\) | 9.86918 | + | 17.0939i | 0.495320 | + | 0.857920i | 0.999985 | − | 0.00539549i | \(-0.00171745\pi\) |
−0.504665 | + | 0.863315i | \(0.668384\pi\) | |||||||
\(398\) | −12.6869 | + | 1.55361i | −0.635936 | + | 0.0778756i | ||||
\(399\) | −11.8704 | + | 6.85340i | −0.594265 | + | 0.343099i | ||||
\(400\) | 0.228766 | − | 6.31804i | 0.0114383 | − | 0.315902i | ||||
\(401\) | −8.36169 | + | 14.4829i | −0.417563 | + | 0.723240i | −0.995694 | − | 0.0927037i | \(-0.970449\pi\) |
0.578131 | + | 0.815944i | \(0.303782\pi\) | |||||||
\(402\) | 1.81625 | + | 14.8316i | 0.0905865 | + | 0.739734i | ||||
\(403\) | −21.4402 | − | 18.9009i | −1.06801 | − | 0.941522i | ||||
\(404\) | −0.136146 | − | 0.547552i | −0.00677352 | − | 0.0272417i | ||||
\(405\) | −0.590147 | + | 1.02216i | −0.0293246 | + | 0.0507917i | ||||
\(406\) | −5.53560 | + | 13.0294i | −0.274727 | + | 0.646639i | ||||
\(407\) | 13.4608 | − | 6.07683i | 0.667225 | − | 0.301217i | ||||
\(408\) | 5.35734 | + | 13.9967i | 0.265228 | + | 0.692939i | ||||
\(409\) | 20.9450 | − | 12.0926i | 1.03566 | − | 0.597940i | 0.117061 | − | 0.993125i | \(-0.462653\pi\) |
0.918602 | + | 0.395185i | \(0.129319\pi\) | |||||||
\(410\) | 0.647775 | + | 0.860202i | 0.0319913 | + | 0.0424824i | ||||
\(411\) | − | 20.4137i | − | 1.00693i | ||||||
\(412\) | −22.1406 | + | 21.3535i | −1.09079 | + | 1.05201i | ||||
\(413\) | −5.95787 | − | 3.43978i | −0.293168 | − | 0.169260i | ||||
\(414\) | 1.01377 | − | 2.38615i | 0.0498239 | − | 0.117273i | ||||
\(415\) | 25.9957 | 1.27608 | ||||||||
\(416\) | −8.13604 | − | 18.7031i | −0.398902 | − | 0.916993i | ||||
\(417\) | 20.1131i | 0.984941i | ||||||||
\(418\) | −17.3581 | + | 31.6766i | −0.849010 | + | 1.54935i | ||||
\(419\) | −3.71065 | − | 2.14235i | −0.181277 | − | 0.104660i | 0.406615 | − | 0.913599i | \(-0.366709\pi\) |
−0.587893 | + | 0.808939i | \(0.700042\pi\) | |||||||
\(420\) | −4.73808 | + | 4.56963i | −0.231195 | + | 0.222975i | ||||
\(421\) | 30.5974 | 1.49122 | 0.745612 | − | 0.666380i | \(-0.232157\pi\) | ||||
0.745612 | + | 0.666380i | \(0.232157\pi\) | |||||||
\(422\) | −14.9960 | + | 11.2928i | −0.729996 | + | 0.549723i | ||||
\(423\) | −11.1180 | + | 6.41898i | −0.540576 | + | 0.312102i | ||||
\(424\) | −1.02564 | − | 2.67961i | −0.0498096 | − | 0.130133i | ||||
\(425\) | 6.50681 | − | 3.75671i | 0.315627 | − | 0.182227i | ||||
\(426\) | −12.3138 | − | 5.23156i | −0.596604 | − | 0.253470i | ||||
\(427\) | 2.90435 | + | 1.67683i | 0.140551 | + | 0.0811473i | ||||
\(428\) | −2.59701 | + | 0.645734i | −0.125531 | + | 0.0312127i | ||||
\(429\) | 12.7399 | + | 3.91969i | 0.615087 | + | 0.189244i | ||||
\(430\) | −0.873372 | − | 7.13200i | −0.0421178 | − | 0.343936i | ||||
\(431\) | 9.42002 | − | 16.3159i | 0.453746 | − | 0.785911i | −0.544869 | − | 0.838521i | \(-0.683421\pi\) |
0.998615 | + | 0.0526098i | \(0.0167539\pi\) | |||||||
\(432\) | 21.1981 | + | 0.767551i | 1.01989 | + | 0.0369288i | ||||
\(433\) | −16.6396 | − | 28.8207i | −0.799649 | − | 1.38503i | −0.919845 | − | 0.392283i | \(-0.871685\pi\) |
0.120196 | − | 0.992750i | \(-0.461648\pi\) | |||||||
\(434\) | 17.7687 | − | 2.17592i | 0.852925 | − | 0.104448i | ||||
\(435\) | −6.46064 | − | 11.1902i | −0.309764 | − | 0.536527i | ||||
\(436\) | −4.10133 | + | 3.95551i | −0.196418 | + | 0.189435i | ||||
\(437\) | 8.03251i | 0.384247i | ||||||||
\(438\) | 8.38003 | − | 6.31059i | 0.400414 | − | 0.301531i | ||||
\(439\) | 1.98162 | − | 3.43226i | 0.0945773 | − | 0.163813i | −0.814855 | − | 0.579665i | \(-0.803183\pi\) |
0.909432 | + | 0.415852i | \(0.136517\pi\) | |||||||
\(440\) | −4.41904 | + | 16.7745i | −0.210670 | + | 0.799693i | ||||
\(441\) | −7.82150 | −0.372453 | ||||||||
\(442\) | 13.7002 | − | 19.9961i | 0.651651 | − | 0.951116i | ||||
\(443\) | − | 13.6717i | − | 0.649563i | −0.945789 | − | 0.324782i | \(-0.894709\pi\) | ||
0.945789 | − | 0.324782i | \(-0.105291\pi\) | |||||||
\(444\) | 9.54069 | + | 2.74239i | 0.452781 | + | 0.130148i | ||||
\(445\) | 15.5735 | − | 26.9740i | 0.738253 | − | 1.27869i | ||||
\(446\) | −13.1018 | − | 17.3983i | −0.620387 | − | 0.823833i | ||||
\(447\) | −13.4766 | −0.637424 | ||||||||
\(448\) | 12.1416 | + | 3.97096i | 0.573637 | + | 0.187610i | ||||
\(449\) | 7.99249 | + | 13.8434i | 0.377189 | + | 0.653310i | 0.990652 | − | 0.136413i | \(-0.0435574\pi\) |
−0.613463 | + | 0.789723i | \(0.710224\pi\) | |||||||
\(450\) | −0.477516 | − | 3.89942i | −0.0225103 | − | 0.183821i | ||||
\(451\) | 0.561926 | + | 1.24472i | 0.0264601 | + | 0.0586116i | ||||
\(452\) | −0.855885 | + | 2.97760i | −0.0402575 | + | 0.140054i | ||||
\(453\) | 15.2134 | + | 8.78347i | 0.714788 | + | 0.412683i | ||||
\(454\) | 5.08608 | + | 41.5332i | 0.238702 | + | 1.94925i | ||||
\(455\) | 10.4364 | + | 2.10404i | 0.489268 | + | 0.0986387i | ||||
\(456\) | −22.6746 | + | 8.67889i | −1.06184 | + | 0.406426i | ||||
\(457\) | 14.8323 | + | 8.56342i | 0.693825 | + | 0.400580i | 0.805043 | − | 0.593216i | \(-0.202142\pi\) |
−0.111218 | + | 0.993796i | \(0.535475\pi\) | |||||||
\(458\) | 0.434227 | + | 0.184483i | 0.0202901 | + | 0.00862034i | ||||
\(459\) | 12.6044 | + | 21.8315i | 0.588324 | + | 1.01901i | ||||
\(460\) | 0.930824 | + | 3.74358i | 0.0433999 | + | 0.174545i | ||||
\(461\) | −1.36453 | + | 0.787811i | −0.0635524 | + | 0.0366920i | −0.531440 | − | 0.847096i | \(-0.678349\pi\) |
0.467887 | + | 0.883788i | \(0.345015\pi\) | |||||||
\(462\) | −7.13498 | + | 4.33443i | −0.331949 | + | 0.201656i | ||||
\(463\) | 11.0965i | 0.515699i | 0.966185 | + | 0.257850i | \(0.0830139\pi\) | ||||
−0.966185 | + | 0.257850i | \(0.916986\pi\) | |||||||
\(464\) | −13.3153 | + | 21.2481i | −0.618149 | + | 0.986420i | ||||
\(465\) | −8.16968 | + | 14.1503i | −0.378860 | + | 0.656204i | ||||
\(466\) | −4.12378 | + | 9.70635i | −0.191031 | + | 0.449638i | ||||
\(467\) | − | 34.0865i | − | 1.57733i | −0.614821 | − | 0.788667i | \(-0.710772\pi\) | ||
0.614821 | − | 0.788667i | \(-0.289228\pi\) | |||||||
\(468\) | −6.82181 | − | 10.6814i | −0.315338 | − | 0.493748i | ||||
\(469\) | 15.1364i | 0.698933i | ||||||||
\(470\) | 7.46940 | − | 17.5811i | 0.344538 | − | 0.810954i | ||||
\(471\) | −20.2448 | − | 11.6883i | −0.932829 | − | 0.538569i | ||||
\(472\) | −9.46270 | − | 7.67787i | −0.435556 | − | 0.353402i | ||||
\(473\) | 0.905593 | − | 9.06758i | 0.0416392 | − | 0.416928i | ||||
\(474\) | −5.44842 | − | 7.23513i | −0.250254 | − | 0.332321i | ||||
\(475\) | 6.08586 | + | 10.5410i | 0.279239 | + | 0.483655i | ||||
\(476\) | 3.66326 | + | 14.7329i | 0.167905 | + | 0.675281i | ||||
\(477\) | −0.891447 | − | 1.54403i | −0.0408165 | − | 0.0706963i | ||||
\(478\) | 14.6137 | + | 6.20869i | 0.668415 | + | 0.283979i | ||||
\(479\) | −17.9715 | + | 31.1275i | −0.821137 | + | 1.42225i | 0.0836996 | + | 0.996491i | \(0.473326\pi\) |
−0.904836 | + | 0.425760i | \(0.860007\pi\) | |||||||
\(480\) | −9.56188 | + | 6.67242i | −0.436438 | + | 0.304553i | ||||
\(481\) | −5.12149 | − | 15.2167i | −0.233520 | − | 0.693823i | ||||
\(482\) | 5.35319 | − | 0.655542i | 0.243831 | − | 0.0298591i | ||||
\(483\) | −0.928252 | + | 1.60778i | −0.0422369 | + | 0.0731565i | ||||
\(484\) | −10.1392 | + | 19.5243i | −0.460873 | + | 0.887466i | ||||
\(485\) | −6.04087 | − | 10.4631i | −0.274302 | − | 0.475105i | ||||
\(486\) | 21.3332 | − | 2.61243i | 0.967694 | − | 0.118502i | ||||
\(487\) | 25.3230 | − | 14.6202i | 1.14749 | − | 0.662506i | 0.199218 | − | 0.979955i | \(-0.436160\pi\) |
0.948275 | + | 0.317449i | \(0.102826\pi\) | |||||||
\(488\) | 4.61288 | + | 3.74281i | 0.208815 | + | 0.169429i | ||||
\(489\) | −8.78817 | −0.397415 | ||||||||
\(490\) | 9.29665 | − | 7.00084i | 0.419980 | − | 0.316266i | ||||
\(491\) | −8.31415 | + | 14.4005i | −0.375212 | + | 0.649887i | −0.990359 | − | 0.138526i | \(-0.955764\pi\) |
0.615146 | + | 0.788413i | \(0.289097\pi\) | |||||||
\(492\) | −0.253589 | + | 0.882230i | −0.0114327 | + | 0.0397740i | ||||
\(493\) | −29.8003 | −1.34214 | ||||||||
\(494\) | 32.3936 | + | 22.1943i | 1.45746 | + | 0.998567i | ||||
\(495\) | −1.07120 | + | 10.7258i | −0.0481471 | + | 0.482090i | ||||
\(496\) | 31.6880 | + | 1.14737i | 1.42283 | + | 0.0515186i | ||||
\(497\) | −11.7370 | − | 6.77634i | −0.526475 | − | 0.303961i | ||||
\(498\) | 13.3307 | + | 17.7022i | 0.597362 | + | 0.793256i | ||||
\(499\) | − | 11.5815i | − | 0.518460i | −0.965816 | − | 0.259230i | \(-0.916531\pi\) | ||
0.965816 | − | 0.259230i | \(-0.0834688\pi\) | |||||||
\(500\) | 16.8948 | + | 17.5176i | 0.755557 | + | 0.783410i | ||||
\(501\) | −9.63015 | + | 5.55997i | −0.430243 | + | 0.248401i | ||||
\(502\) | −8.33157 | + | 1.02027i | −0.371856 | + | 0.0455368i | ||||
\(503\) | 6.06616 | + | 10.5069i | 0.270476 | + | 0.468479i | 0.968984 | − | 0.247124i | \(-0.0794854\pi\) |
−0.698507 | + | 0.715603i | \(0.746152\pi\) | |||||||
\(504\) | 7.83904 | + | 1.24933i | 0.349178 | + | 0.0556497i | ||||
\(505\) | 0.451784 | + | 0.260838i | 0.0201041 | + | 0.0116071i | ||||
\(506\) | 0.109140 | + | 4.89112i | 0.00485184 | + | 0.217437i | ||||
\(507\) | 5.61447 | − | 13.3585i | 0.249347 | − | 0.593272i | ||||
\(508\) | 34.4105 | − | 8.55600i | 1.52672 | − | 0.379611i | ||||
\(509\) | −0.841686 | + | 1.45784i | −0.0373071 | + | 0.0646177i | −0.884076 | − | 0.467343i | \(-0.845211\pi\) |
0.846769 | + | 0.531961i | \(0.178545\pi\) | |||||||
\(510\) | −12.7535 | − | 5.41837i | −0.564733 | − | 0.239929i | ||||
\(511\) | 9.20288 | − | 5.31329i | 0.407111 | − | 0.235046i | ||||
\(512\) | 20.1314 | + | 10.3309i | 0.889689 | + | 0.456567i | ||||
\(513\) | −35.3670 | + | 20.4191i | −1.56149 | + | 0.901527i | ||||
\(514\) | −27.2388 | + | 20.5122i | −1.20145 | + | 0.904753i | ||||
\(515\) | − | 28.4403i | − | 1.25323i | ||||||
\(516\) | 4.40881 | − | 4.25206i | 0.194087 | − | 0.187186i | ||||
\(517\) | 14.1380 | − | 19.6727i | 0.621788 | − | 0.865205i | ||||
\(518\) | 9.25521 | + | 3.93212i | 0.406651 | + | 0.172767i | ||||
\(519\) | 6.95609 | 0.305338 | ||||||||
\(520\) | 17.6691 | + | 6.58989i | 0.774841 | + | 0.288986i | ||||
\(521\) | 24.4479 | 1.07108 | 0.535541 | − | 0.844509i | \(-0.320108\pi\) | ||||
0.535541 | + | 0.844509i | \(0.320108\pi\) | |||||||
\(522\) | −6.09288 | + | 14.3411i | −0.266678 | + | 0.627693i | ||||
\(523\) | 8.24805 | − | 14.2860i | 0.360662 | − | 0.624685i | −0.627408 | − | 0.778691i | \(-0.715884\pi\) |
0.988070 | + | 0.154006i | \(0.0492174\pi\) | |||||||
\(524\) | −7.59826 | − | 7.87836i | −0.331932 | − | 0.344168i | ||||
\(525\) | 2.81318i | 0.122777i | ||||||||
\(526\) | −23.0534 | + | 17.3604i | −1.00518 | + | 0.756949i | ||||
\(527\) | 18.8417 | + | 32.6348i | 0.820758 | + | 1.42159i | ||||
\(528\) | −13.6890 | + | 5.59280i | −0.595738 | + | 0.243395i | ||||
\(529\) | −10.9560 | − | 18.9764i | −0.476349 | − | 0.825060i | ||||
\(530\) | 2.44160 | + | 1.03732i | 0.106056 | + | 0.0450585i | ||||
\(531\) | −6.55766 | − | 3.78606i | −0.284578 | − | 0.164301i | ||||
\(532\) | −23.8673 | + | 5.93448i | −1.03478 | + | 0.257292i | ||||
\(533\) | 1.40709 | − | 0.473585i | 0.0609480 | − | 0.0205133i | ||||
\(534\) | 26.3546 | − | 3.22734i | 1.14048 | − | 0.139661i | ||||
\(535\) | 1.23714 | − | 2.14279i | 0.0534862 | − | 0.0926409i | ||||
\(536\) | −4.21971 | + | 26.4769i | −0.182264 | + | 1.14363i | ||||
\(537\) | 10.7908 | + | 18.6903i | 0.465659 | + | 0.806546i | ||||
\(538\) | 0.109114 | + | 0.891032i | 0.00470424 | + | 0.0384151i | ||||
\(539\) | 13.4523 | − | 6.07303i | 0.579433 | − | 0.261584i | ||||
\(540\) | −14.1167 | + | 13.6148i | −0.607487 | + | 0.585889i | ||||
\(541\) | − | 23.8111i | − | 1.02372i | −0.859069 | − | 0.511861i | \(-0.828956\pi\) | ||
0.859069 | − | 0.511861i | \(-0.171044\pi\) | |||||||
\(542\) | −16.1376 | + | 12.1524i | −0.693171 | + | 0.521992i | ||||
\(543\) | 2.07578 | + | 1.19845i | 0.0890801 | + | 0.0514304i | ||||
\(544\) | 2.30063 | + | 26.7923i | 0.0986388 | + | 1.14871i | ||||
\(545\) | − | 5.26829i | − | 0.225669i | ||||||
\(546\) | 3.91906 | + | 8.18585i | 0.167720 | + | 0.350322i | ||||
\(547\) | −12.4799 | −0.533604 | −0.266802 | − | 0.963751i | \(-0.585967\pi\) | ||||
−0.266802 | + | 0.963751i | \(0.585967\pi\) | |||||||
\(548\) | 10.1187 | − | 35.2027i | 0.432249 | − | 1.50378i | ||||
\(549\) | 3.19673 | + | 1.84563i | 0.136433 | + | 0.0787697i | ||||
\(550\) | 3.84901 | + | 6.33591i | 0.164122 | + | 0.270164i | ||||
\(551\) | − | 48.2765i | − | 2.05665i | ||||||
\(552\) | −2.07193 | + | 2.55359i | −0.0881874 | + | 0.108688i | ||||
\(553\) | −4.58737 | − | 7.94556i | −0.195075 | − | 0.337880i | ||||
\(554\) | −24.2630 | + | 2.97120i | −1.03084 | + | 0.126234i | ||||
\(555\) | −7.94873 | + | 4.58920i | −0.337405 | + | 0.194801i | ||||
\(556\) | −9.96970 | + | 34.6843i | −0.422809 | + | 1.47094i | ||||
\(557\) | −26.6011 | − | 15.3582i | −1.12713 | − | 0.650747i | −0.183916 | − | 0.982942i | \(-0.558877\pi\) |
−0.943211 | + | 0.332196i | \(0.892211\pi\) | |||||||
\(558\) | 19.5575 | − | 2.39498i | 0.827935 | − | 0.101387i | ||||
\(559\) | −9.71115 | − | 1.95781i | −0.410738 | − | 0.0828067i | ||||
\(560\) | −10.4357 | + | 5.53158i | −0.440990 | + | 0.233752i | ||||
\(561\) | −14.2708 | − | 10.2558i | −0.602512 | − | 0.433001i | ||||
\(562\) | 11.0643 | − | 26.0426i | 0.466719 | − | 1.09854i | ||||
\(563\) | −9.04279 | − | 15.6626i | −0.381108 | − | 0.660099i | 0.610113 | − | 0.792315i | \(-0.291124\pi\) |
−0.991221 | + | 0.132216i | \(0.957791\pi\) | |||||||
\(564\) | 15.8025 | − | 3.92921i | 0.665405 | − | 0.165450i | ||||
\(565\) | −1.43226 | − | 2.48076i | −0.0602558 | − | 0.104366i | ||||
\(566\) | −14.6386 | + | 11.0236i | −0.615307 | + | 0.463357i | ||||
\(567\) | −1.01921 | −0.0428029 | ||||||||
\(568\) | −18.6415 | − | 15.1254i | −0.782179 | − | 0.634646i | ||||
\(569\) | 19.8891 | + | 11.4830i | 0.833794 | + | 0.481391i | 0.855150 | − | 0.518381i | \(-0.173465\pi\) |
−0.0213557 | + | 0.999772i | \(0.506798\pi\) | |||||||
\(570\) | 8.77775 | − | 20.6606i | 0.367659 | − | 0.865378i | ||||
\(571\) | 22.2395 | 0.930695 | 0.465348 | − | 0.885128i | \(-0.345929\pi\) | ||||
0.465348 | + | 0.885128i | \(0.345929\pi\) | |||||||
\(572\) | 20.0265 | + | 13.0743i | 0.837352 | + | 0.546664i | ||||
\(573\) | −14.0671 | −0.587663 | ||||||||
\(574\) | −0.363604 | + | 0.855832i | −0.0151765 | + | 0.0357217i | ||||
\(575\) | 1.42772 | + | 0.824294i | 0.0595400 | + | 0.0343754i | ||||
\(576\) | 13.3639 | + | 4.37072i | 0.556830 | + | 0.182114i | ||||
\(577\) | 1.20072 | 0.0499865 | 0.0249933 | − | 0.999688i | \(-0.492044\pi\) | ||||
0.0249933 | + | 0.999688i | \(0.492044\pi\) | |||||||
\(578\) | −6.32366 | + | 4.76204i | −0.263030 | + | 0.198075i | ||||
\(579\) | 14.8863 | + | 25.7838i | 0.618652 | + | 1.07154i | ||||
\(580\) | −5.59438 | − | 22.4995i | −0.232294 | − | 0.934239i | ||||
\(581\) | 11.2239 | + | 19.4404i | 0.465648 | + | 0.806526i | ||||
\(582\) | 4.02726 | − | 9.47917i | 0.166935 | − | 0.392924i | ||||
\(583\) | 2.73208 | + | 1.96344i | 0.113151 | + | 0.0813173i | ||||
\(584\) | 17.5791 | − | 6.72855i | 0.727429 | − | 0.278429i | ||||
\(585\) | 11.4871 | + | 2.31585i | 0.474933 | + | 0.0957487i | ||||
\(586\) | −14.2589 | + | 1.74612i | −0.589031 | + | 0.0721317i | ||||
\(587\) | −28.0250 | − | 16.1802i | −1.15671 | − | 0.667829i | −0.206200 | − | 0.978510i | \(-0.566110\pi\) |
−0.950514 | + | 0.310681i | \(0.899443\pi\) | |||||||
\(588\) | 9.53472 | + | 2.74067i | 0.393205 | + | 0.113023i | ||||
\(589\) | −52.8683 | + | 30.5236i | −2.17840 | + | 1.25770i | ||||
\(590\) | 11.1833 | − | 1.36948i | 0.460407 | − | 0.0563807i | ||||
\(591\) | 5.29162 | + | 9.16535i | 0.217668 | + | 0.377012i | ||||
\(592\) | 15.0932 | + | 9.45831i | 0.620328 | + | 0.388734i | ||||
\(593\) | − | 24.5418i | − | 1.00781i | −0.863758 | − | 0.503906i | \(-0.831896\pi\) | ||
0.863758 | − | 0.503906i | \(-0.168104\pi\) | |||||||
\(594\) | −21.2581 | + | 12.9141i | −0.872230 | + | 0.529871i | ||||
\(595\) | −12.1561 | − | 7.01831i | −0.498350 | − | 0.287723i | ||||
\(596\) | −23.2400 | − | 6.68014i | −0.951948 | − | 0.273629i | ||||
\(597\) | 10.0742 | 0.412308 | ||||||||
\(598\) | 5.30274 | + | 0.409582i | 0.216845 | + | 0.0167490i | ||||
\(599\) | − | 17.7432i | − | 0.724968i | −0.931990 | − | 0.362484i | \(-0.881929\pi\) | ||
0.931990 | − | 0.362484i | \(-0.118071\pi\) | |||||||
\(600\) | −0.784256 | + | 4.92087i | −0.0320171 | + | 0.200894i | ||||
\(601\) | 29.7495 | + | 17.1759i | 1.21351 | + | 0.700618i | 0.963521 | − | 0.267632i | \(-0.0862412\pi\) |
0.249984 | + | 0.968250i | \(0.419574\pi\) | |||||||
\(602\) | 4.95647 | − | 3.73247i | 0.202011 | − | 0.152124i | ||||
\(603\) | 16.6602i | 0.678455i | ||||||||
\(604\) | 21.8812 | + | 22.6878i | 0.890333 | + | 0.923154i | ||||
\(605\) | −6.48571 | − | 19.2793i | −0.263682 | − | 0.783813i | ||||
\(606\) | 0.0540542 | + | 0.441410i | 0.00219580 | + | 0.0179310i | ||||
\(607\) | 15.1878 | + | 26.3060i | 0.616453 | + | 1.06773i | 0.990128 | + | 0.140168i | \(0.0447644\pi\) |
−0.373675 | + | 0.927560i | \(0.621902\pi\) | |||||||
\(608\) | −43.4036 | + | 3.72702i | −1.76025 | + | 0.151151i | ||||
\(609\) | 5.57892 | − | 9.66298i | 0.226069 | − | 0.391564i | ||||
\(610\) | −5.45162 | + | 0.667596i | −0.220730 | + | 0.0270302i | ||||
\(611\) | −19.7558 | − | 17.4160i | −0.799232 | − | 0.704576i | ||||
\(612\) | 4.03205 | + | 16.2161i | 0.162986 | + | 0.655496i | ||||
\(613\) | 7.05850 | + | 4.07523i | 0.285090 | + | 0.164597i | 0.635726 | − | 0.771915i | \(-0.280701\pi\) |
−0.350635 | + | 0.936512i | \(0.614034\pi\) | |||||||
\(614\) | 11.2606 | + | 4.78411i | 0.454441 | + | 0.193071i | ||||
\(615\) | −0.424364 | − | 0.735021i | −0.0171120 | − | 0.0296389i | ||||
\(616\) | −14.4525 | + | 3.93789i | −0.582309 | + | 0.158662i | ||||
\(617\) | −11.6815 | − | 20.2330i | −0.470281 | − | 0.814551i | 0.529141 | − | 0.848534i | \(-0.322514\pi\) |
−0.999422 | + | 0.0339829i | \(0.989181\pi\) | |||||||
\(618\) | 19.3670 | − | 14.5843i | 0.779055 | − | 0.586667i | ||||
\(619\) | − | 22.5055i | − | 0.904572i | −0.891873 | − | 0.452286i | \(-0.850609\pi\) | ||
0.891873 | − | 0.452286i | \(-0.149391\pi\) | |||||||
\(620\) | −21.1024 | + | 20.3521i | −0.847492 | + | 0.817361i | ||||
\(621\) | −2.76565 | + | 4.79024i | −0.110982 | + | 0.192226i | ||||
\(622\) | −7.03034 | + | 16.5476i | −0.281891 | + | 0.663500i | ||||
\(623\) | 26.8961 | 1.07757 | ||||||||
\(624\) | 4.57327 | + | 15.4114i | 0.183077 | + | 0.616951i | ||||
\(625\) | −14.5992 | −0.583966 | ||||||||
\(626\) | −28.8570 | − | 12.2600i | −1.15336 | − | 0.490009i | ||||
\(627\) | 16.6144 | − | 23.1186i | 0.663517 | − | 0.923269i | ||||
\(628\) | −29.1177 | − | 30.1911i | −1.16192 | − | 1.20475i | ||||
\(629\) | 21.1681i | 0.844028i | ||||||||
\(630\) | −5.86289 | + | 4.41505i | −0.233583 | + | 0.175900i | ||||
\(631\) | 31.7809 | − | 18.3487i | 1.26518 | − | 0.730452i | 0.291108 | − | 0.956690i | \(-0.405976\pi\) |
0.974072 | + | 0.226239i | \(0.0726429\pi\) | |||||||
\(632\) | −5.80927 | − | 15.1774i | −0.231081 | − | 0.603725i | ||||
\(633\) | 12.8137 | − | 7.39801i | 0.509300 | − | 0.294044i | ||||
\(634\) | 28.2108 | + | 11.9855i | 1.12039 | + | 0.476004i | ||||
\(635\) | −16.3921 | + | 28.3920i | −0.650503 | + | 1.12670i | ||||
\(636\) | 0.545676 | + | 2.19460i | 0.0216375 | + | 0.0870215i | ||||
\(637\) | −5.11828 | − | 15.2072i | −0.202794 | − | 0.602531i | ||||
\(638\) | −0.655944 | − | 29.3963i | −0.0259691 | − | 1.16381i | ||||
\(639\) | −12.9186 | − | 7.45853i | −0.511050 | − | 0.295055i | ||||
\(640\) | −19.7965 | + | 6.76669i | −0.782526 | + | 0.267477i | ||||
\(641\) | 9.88074 | + | 17.1139i | 0.390266 | + | 0.675960i | 0.992484 | − | 0.122371i | \(-0.0390498\pi\) |
−0.602219 | + | 0.798331i | \(0.705716\pi\) | |||||||
\(642\) | 2.09358 | − | 0.256376i | 0.0826271 | − | 0.0101184i | ||||
\(643\) | −30.9171 | + | 17.8500i | −1.21925 | + | 0.703934i | −0.964758 | − | 0.263140i | \(-0.915242\pi\) |
−0.254493 | + | 0.967075i | \(0.581908\pi\) | |||||||
\(644\) | −2.39769 | + | 2.31244i | −0.0944820 | + | 0.0911229i | ||||
\(645\) | 5.66325i | 0.222990i | ||||||||
\(646\) | −31.1436 | − | 41.3567i | −1.22533 | − | 1.62716i | ||||
\(647\) | 8.98413 | + | 5.18699i | 0.353203 | + | 0.203922i | 0.666095 | − | 0.745867i | \(-0.267965\pi\) |
−0.312892 | + | 0.949789i | \(0.601298\pi\) | |||||||
\(648\) | −1.78283 | − | 0.284135i | −0.0700361 | − | 0.0111619i | ||||
\(649\) | 14.2183 | + | 1.42000i | 0.558118 | + | 0.0557401i | ||||
\(650\) | 7.26909 | − | 3.48015i | 0.285117 | − | 0.136503i | ||||
\(651\) | −14.1094 | −0.552992 | ||||||||
\(652\) | −15.1549 | − | 4.35615i | −0.593512 | − | 0.170600i | ||||
\(653\) | 6.79736 | − | 11.7734i | 0.266001 | − | 0.460728i | −0.701824 | − | 0.712350i | \(-0.747631\pi\) |
0.967825 | + | 0.251623i | \(0.0809641\pi\) | |||||||
\(654\) | 3.58754 | − | 2.70160i | 0.140284 | − | 0.105641i | ||||
\(655\) | 10.1200 | 0.395421 | ||||||||
\(656\) | −0.874612 | + | 1.39567i | −0.0341479 | + | 0.0544919i | ||||
\(657\) | 10.1293 | − | 5.84818i | 0.395184 | − | 0.228159i | ||||
\(658\) | 16.3727 | − | 2.00498i | 0.638276 | − | 0.0781621i | ||||
\(659\) | −5.86583 | − | 10.1599i | −0.228500 | − | 0.395774i | 0.728864 | − | 0.684659i | \(-0.240049\pi\) |
−0.957364 | + | 0.288885i | \(0.906716\pi\) | |||||||
\(660\) | 5.06419 | − | 12.6998i | 0.197123 | − | 0.494341i | ||||
\(661\) | 2.80252 | − | 4.85412i | 0.109006 | − | 0.188803i | −0.806362 | − | 0.591422i | \(-0.798567\pi\) |
0.915368 | + | 0.402619i | \(0.131900\pi\) | |||||||
\(662\) | 14.0952 | − | 1.72608i | 0.547827 | − | 0.0670859i | ||||
\(663\) | −12.6337 | + | 14.3310i | −0.490653 | + | 0.556570i | ||||
\(664\) | 14.2136 | + | 37.1347i | 0.551594 | + | 1.44110i | ||||
\(665\) | 11.3697 | − | 19.6928i | 0.440897 | − | 0.763655i | ||||
\(666\) | 10.1869 | + | 4.32797i | 0.394736 | + | 0.167705i | ||||
\(667\) | −3.26938 | − | 5.66273i | −0.126591 | − | 0.219262i | ||||
\(668\) | −19.3628 | + | 4.81447i | −0.749171 | + | 0.186278i | ||||
\(669\) | 8.58311 | + | 14.8664i | 0.331842 | + | 0.574768i | ||||
\(670\) | −14.9121 | − | 19.8023i | −0.576106 | − | 0.765030i | ||||
\(671\) | −6.93116 | − | 0.692225i | −0.267574 | − | 0.0267231i | ||||
\(672\) | −9.11832 | − | 4.26980i | −0.351747 | − | 0.164711i | ||||
\(673\) | −8.00086 | − | 4.61930i | −0.308410 | − | 0.178061i | 0.337805 | − | 0.941216i | \(-0.390316\pi\) |
−0.646215 | + | 0.763155i | \(0.723649\pi\) | |||||||
\(674\) | −3.84513 | + | 9.05046i | −0.148109 | + | 0.348611i | ||||
\(675\) | 8.38163i | 0.322609i | ||||||||
\(676\) | 16.3035 | − | 20.2533i | 0.627059 | − | 0.778972i | ||||
\(677\) | − | 2.58506i | − | 0.0993518i | −0.998765 | − | 0.0496759i | \(-0.984181\pi\) | ||
0.998765 | − | 0.0496759i | \(-0.0158188\pi\) | |||||||
\(678\) | 0.954847 | − | 2.24747i | 0.0366707 | − | 0.0863135i | ||||
\(679\) | 5.21644 | − | 9.03515i | 0.200189 | − | 0.346737i | ||||
\(680\) | −19.3071 | − | 15.6655i | −0.740394 | − | 0.600743i | ||||
\(681\) | − | 32.9799i | − | 1.26379i | ||||||
\(682\) | −31.7777 | + | 19.3046i | −1.21683 | + | 0.739212i | ||||
\(683\) | 6.48346 | − | 3.74323i | 0.248083 | − | 0.143231i | −0.370803 | − | 0.928711i | \(-0.620918\pi\) |
0.618886 | + | 0.785481i | \(0.287584\pi\) | |||||||
\(684\) | −26.2700 | + | 6.53191i | −1.00446 | + | 0.249754i | ||||
\(685\) | 16.9329 | + | 29.3287i | 0.646975 | + | 1.12059i | ||||
\(686\) | 23.7984 | + | 10.1109i | 0.908628 | + | 0.386034i | ||||
\(687\) | −0.322035 | − | 0.185927i | −0.0122864 | − | 0.00709355i | ||||
\(688\) | 9.71050 | − | 5.14716i | 0.370209 | − | 0.196234i | ||||
\(689\) | 2.41868 | − | 2.74361i | 0.0921443 | − | 0.104523i | ||||
\(690\) | −0.369566 | − | 3.01789i | −0.0140691 | − | 0.114889i | ||||
\(691\) | 2.43325 | + | 1.40484i | 0.0925650 | + | 0.0534425i | 0.545568 | − | 0.838067i | \(-0.316314\pi\) |
−0.453003 | + | 0.891509i | \(0.649647\pi\) | |||||||
\(692\) | 11.9955 | + | 3.44801i | 0.456002 | + | 0.131074i | ||||
\(693\) | −8.48365 | + | 3.82992i | −0.322267 | + | 0.145487i | ||||
\(694\) | −3.05777 | − | 24.9699i | −0.116072 | − | 0.947846i | ||||
\(695\) | −16.6836 | − | 28.8968i | −0.632845 | − | 1.09612i | ||||
\(696\) | 12.4526 | − | 15.3474i | 0.472015 | − | 0.581742i | ||||
\(697\) | −1.95742 | −0.0741426 | ||||||||
\(698\) | 23.1614 | + | 30.7568i | 0.876672 | + | 1.16416i | ||||
\(699\) | 4.15606 | − | 7.19850i | 0.157196 | − | 0.272272i | ||||
\(700\) | −1.39444 | + | 4.85122i | −0.0527050 | + | 0.183359i | ||||
\(701\) | 25.3239i | 0.956470i | 0.878232 | + | 0.478235i | \(0.158723\pi\) | ||||
−0.878232 | + | 0.478235i | \(0.841277\pi\) | |||||||
\(702\) | 11.6765 | + | 24.3891i | 0.440702 | + | 0.920506i | ||||
\(703\) | −34.2923 | −1.29336 | ||||||||
\(704\) | −26.3785 | + | 2.85918i | −0.994177 | + | 0.107759i | ||||
\(705\) | −7.52785 | + | 13.0386i | −0.283515 | + | 0.491063i | ||||
\(706\) | 31.2940 | − | 23.5660i | 1.17777 | − | 0.886917i | ||||
\(707\) | 0.450480i | 0.0169420i | ||||||||
\(708\) | 6.66739 | + | 6.91318i | 0.250576 | + | 0.259813i | ||||
\(709\) | −3.28577 | − | 5.69112i | −0.123400 | − | 0.213734i | 0.797707 | − | 0.603046i | \(-0.206046\pi\) |
−0.921106 | + | 0.389311i | \(0.872713\pi\) | |||||||
\(710\) | 22.0310 | − | 2.69787i | 0.826807 | − | 0.101249i | ||||
\(711\) | −5.04919 | − | 8.74545i | −0.189359 | − | 0.327980i | ||||
\(712\) | 47.0474 | + | 7.49809i | 1.76317 | + | 0.281003i | ||||
\(713\) | −4.13423 | + | 7.16070i | −0.154828 | + | 0.268170i | ||||
\(714\) | −1.45443 | − | 11.8769i | −0.0544306 | − | 0.444483i | ||||
\(715\) | −21.5550 | + | 4.93611i | −0.806110 | + | 0.184600i | ||||
\(716\) | 9.34398 | + | 37.5796i | 0.349201 | + | 1.40442i | ||||
\(717\) | −10.8379 | − | 6.25728i | −0.404750 | − | 0.233682i | ||||
\(718\) | −20.2702 | − | 8.61189i | −0.756478 | − | 0.321393i | ||||
\(719\) | 20.9673 | − | 12.1055i | 0.781949 | − | 0.451458i | −0.0551719 | − | 0.998477i | \(-0.517571\pi\) |
0.837120 | + | 0.547019i | \(0.184237\pi\) | |||||||
\(720\) | −11.4863 | + | 6.08845i | −0.428070 | + | 0.226903i | ||||
\(721\) | 21.2687 | − | 12.2795i | 0.792087 | − | 0.457311i | ||||
\(722\) | 45.5332 | − | 34.2888i | 1.69457 | − | 1.27610i | ||||
\(723\) | −4.25077 | −0.158088 | ||||||||
\(724\) | 2.98555 | + | 3.09561i | 0.110957 | + | 0.115048i | ||||
\(725\) | −8.58079 | − | 4.95412i | −0.318682 | − | 0.183991i | ||||
\(726\) | 9.80268 | − | 14.3030i | 0.363812 | − | 0.530836i | ||||
\(727\) | 19.5880i | 0.726479i | 0.931696 | + | 0.363239i | \(0.118329\pi\) | ||||
−0.931696 | + | 0.363239i | \(0.881671\pi\) | |||||||
\(728\) | 2.70070 | + | 16.0588i | 0.100095 | + | 0.595179i | ||||
\(729\) | −18.8547 | −0.698323 | ||||||||
\(730\) | −6.80519 | + | 16.0177i | −0.251871 | + | 0.592842i | ||||
\(731\) | 11.3113 | + | 6.53057i | 0.418363 | + | 0.241542i | ||||
\(732\) | −3.25023 | − | 3.37004i | −0.120132 | − | 0.124560i | ||||
\(733\) | 3.72835i | 0.137710i | 0.997627 | + | 0.0688548i | \(0.0219345\pi\) | ||||
−0.997627 | + | 0.0688548i | \(0.978065\pi\) | |||||||
\(734\) | 16.3771 | + | 21.7477i | 0.604489 | + | 0.802721i | ||||
\(735\) | −7.94375 | + | 4.58633i | −0.293010 | + | 0.169169i | ||||
\(736\) | −4.83875 | + | 3.37655i | −0.178359 | + | 0.124461i | ||||
\(737\) | −12.9358 | − | 28.6541i | −0.476498 | − | 1.05549i | ||||
\(738\) | −0.400208 | + | 0.941990i | −0.0147319 | + | 0.0346751i | ||||
\(739\) | −3.60477 | + | 6.24364i | −0.132604 | + | 0.229676i | −0.924679 | − | 0.380746i | \(-0.875667\pi\) |
0.792076 | + | 0.610423i | \(0.209000\pi\) | |||||||
\(740\) | −15.9821 | + | 3.97387i | −0.587513 | + | 0.146082i | ||||
\(741\) | −23.2162 | − | 20.4666i | −0.852869 | − | 0.751860i | ||||
\(742\) | 0.278444 | + | 2.27379i | 0.0102220 | + | 0.0834735i | ||||
\(743\) | 7.79797 | − | 13.5065i | 0.286080 | − | 0.495505i | −0.686791 | − | 0.726855i | \(-0.740981\pi\) |
0.972870 | + | 0.231350i | \(0.0743144\pi\) | |||||||
\(744\) | −24.6805 | − | 3.93342i | −0.904833 | − | 0.144206i | ||||
\(745\) | 19.3622 | − | 11.1788i | 0.709375 | − | 0.409558i | ||||
\(746\) | 12.9200 | − | 1.58216i | 0.473034 | − | 0.0579269i | ||||
\(747\) | 12.3539 | + | 21.3975i | 0.452005 | + | 0.782895i | ||||
\(748\) | −19.5258 | − | 24.7596i | −0.713933 | − | 0.905300i | ||||
\(749\) | 2.13660 | 0.0780697 | ||||||||
\(750\) | −11.5391 | − | 15.3231i | −0.421347 | − | 0.559520i | ||||
\(751\) | −31.5072 | − | 18.1907i | −1.14971 | − | 0.663787i | −0.200896 | − | 0.979613i | \(-0.564385\pi\) |
−0.948817 | + | 0.315825i | \(0.897719\pi\) | |||||||
\(752\) | 29.1985 | + | 1.05723i | 1.06476 | + | 0.0385533i | ||||
\(753\) | 6.61578 | 0.241093 | ||||||||
\(754\) | −31.8702 | − | 2.46164i | −1.16064 | − | 0.0896478i | ||||
\(755\) | −29.1432 | −1.06063 | ||||||||
\(756\) | −16.2767 | − | 4.67860i | −0.591978 | − | 0.170159i | ||||
\(757\) | −23.9236 | + | 41.4369i | −0.869518 | + | 1.50605i | −0.00702882 | + | 0.999975i | \(0.502237\pi\) |
−0.862490 | + | 0.506075i | \(0.831096\pi\) | |||||||
\(758\) | −27.4943 | − | 36.5106i | −0.998639 | − | 1.32613i | ||||
\(759\) | 0.383200 | − | 3.83693i | 0.0139093 | − | 0.139272i | ||||
\(760\) | 25.3780 | − | 31.2775i | 0.920558 | − | 1.13455i | ||||
\(761\) | −32.2328 | + | 18.6096i | −1.16844 | + | 0.674599i | −0.953312 | − | 0.301987i | \(-0.902350\pi\) |
−0.215127 | + | 0.976586i | \(0.569017\pi\) | |||||||
\(762\) | −27.7401 | + | 3.39700i | −1.00492 | + | 0.123060i | ||||
\(763\) | 3.93981 | − | 2.27465i | 0.142631 | − | 0.0823478i | ||||
\(764\) | −24.2583 | − | 6.97283i | −0.877633 | − | 0.252268i | ||||
\(765\) | −13.3798 | − | 7.72486i | −0.483749 | − | 0.279293i | ||||
\(766\) | −19.0583 | + | 2.33384i | −0.688604 | + | 0.0843252i | ||||
\(767\) | 3.06993 | − | 15.2275i | 0.110849 | − | 0.549832i | ||||
\(768\) | −14.7596 | − | 10.0108i | −0.532593 | − | 0.361235i | ||||
\(769\) | 16.9714 | + | 9.79843i | 0.612004 | + | 0.353341i | 0.773749 | − | 0.633492i | \(-0.218379\pi\) |
−0.161745 | + | 0.986833i | \(0.551712\pi\) | |||||||
\(770\) | 6.65560 | − | 12.1458i | 0.239851 | − | 0.437703i | ||||
\(771\) | 23.2748 | − | 13.4377i | 0.838223 | − | 0.483948i | ||||
\(772\) | 12.8903 | + | 51.8421i | 0.463931 | + | 1.86584i | ||||
\(773\) | −0.901057 | − | 1.56068i | −0.0324088 | − | 0.0561337i | 0.849366 | − | 0.527804i | \(-0.176985\pi\) |
−0.881775 | + | 0.471671i | \(0.843651\pi\) | |||||||
\(774\) | 5.45544 | − | 4.10822i | 0.196092 | − | 0.147667i | ||||
\(775\) | 12.5293i | 0.450065i | ||||||||
\(776\) | 11.6435 | − | 14.3502i | 0.417978 | − | 0.515144i | ||||
\(777\) | −6.86392 | − | 3.96289i | −0.246242 | − | 0.142168i | ||||
\(778\) | −1.51622 | − | 0.644172i | −0.0543590 | − | 0.0230947i | ||||
\(779\) | − | 3.17102i | − | 0.113614i | ||||||
\(780\) | −13.1917 | − | 6.84822i | −0.472340 | − | 0.245205i | ||||
\(781\) | 28.0100 | + | 2.79740i | 1.00228 | + | 0.100099i | ||||
\(782\) | −6.45384 | − | 2.74194i | −0.230789 | − | 0.0980516i | ||||
\(783\) | 16.6219 | − | 28.7900i | 0.594020 | − | 1.02887i | ||||
\(784\) | 15.0838 | + | 9.45239i | 0.538706 | + | 0.337585i | ||||
\(785\) | 38.7814 | 1.38417 | ||||||||
\(786\) | 5.18958 | + | 6.89141i | 0.185106 | + | 0.245809i | ||||
\(787\) | −10.8465 | − | 18.7867i | −0.386637 | − | 0.669675i | 0.605358 | − | 0.795954i | \(-0.293030\pi\) |
−0.991995 | + | 0.126278i | \(0.959697\pi\) | |||||||
\(788\) | 4.58210 | + | 18.4283i | 0.163231 | + | 0.656481i | ||||
\(789\) | 19.6986 | − | 11.3730i | 0.701288 | − | 0.404889i | ||||
\(790\) | 13.8293 | + | 5.87545i | 0.492025 | + | 0.209039i | ||||
\(791\) | 1.23680 | − | 2.14219i | 0.0439754 | − | 0.0761676i | ||||
\(792\) | −15.9075 | + | 4.33432i | −0.565248 | + | 0.154013i | ||||
\(793\) | −1.49653 | + | 7.42310i | −0.0531434 | + | 0.263602i | ||||
\(794\) | −3.39298 | − | 27.7073i | −0.120413 | − | 0.983295i | ||||
\(795\) | −1.81076 | − | 1.04544i | −0.0642210 | − | 0.0370780i | ||||
\(796\) | 17.3725 | + | 4.99359i | 0.615754 | + | 0.176993i | ||||
\(797\) | 7.45756 | + | 12.9169i | 0.264160 | + | 0.457539i | 0.967343 | − | 0.253470i | \(-0.0815719\pi\) |
−0.703183 | + | 0.711009i | \(0.748239\pi\) | |||||||
\(798\) | 19.2406 | − | 2.35617i | 0.681110 | − | 0.0834076i | ||||
\(799\) | 17.3615 | + | 30.0709i | 0.614204 | + | 1.06383i | ||||
\(800\) | −3.79161 | + | 8.09713i | −0.134054 | + | 0.286277i | ||||
\(801\) | 29.6038 | 1.04600 | ||||||||
\(802\) | 18.8927 | − | 14.2271i | 0.667123 | − | 0.502377i | ||||
\(803\) | −12.8808 | + | 17.9233i | −0.454553 | + | 0.632501i | ||||
\(804\) | 5.83777 | − | 20.3094i | 0.205882 | − | 0.716258i | ||||
\(805\) | − | 3.07990i | − | 0.108552i | ||||||
\(806\) | 17.4546 | + | 36.4580i | 0.614814 | + | 1.28418i | ||||
\(807\) | − | 0.707534i | − | 0.0249064i | ||||||
\(808\) | −0.125584 | + | 0.787989i | −0.00441805 | + | 0.0277214i | ||||
\(809\) | 37.7008 | + | 21.7666i | 1.32549 | + | 0.765272i | 0.984599 | − | 0.174831i | \(-0.0559378\pi\) |
0.340891 | + | 0.940103i | \(0.389271\pi\) | |||||||
\(810\) | 1.33339 | − | 1.00411i | 0.0468507 | − | 0.0352809i | ||||
\(811\) | −53.5329 | −1.87979 | −0.939897 | − | 0.341457i | \(-0.889079\pi\) | ||||
−0.939897 | + | 0.341457i | \(0.889079\pi\) | |||||||
\(812\) | 14.4104 | − | 13.8981i | 0.505707 | − | 0.487727i | ||||
\(813\) | 13.7892 | − | 7.96119i | 0.483608 | − | 0.279211i | ||||
\(814\) | −20.8812 | + | 0.465938i | −0.731884 | + | 0.0163311i | ||||
\(815\) | 12.6261 | − | 7.28971i | 0.442274 | − | 0.255347i | ||||
\(816\) | 0.766926 | − | 21.1809i | 0.0268478 | − | 0.741478i | ||||
\(817\) | −10.5795 | + | 18.3243i | −0.370131 | + | 0.641085i | ||||
\(818\) | −33.9494 | + | 4.15738i | −1.18701 | + | 0.145359i | ||||
\(819\) | 3.22782 | + | 9.59034i | 0.112789 | + | 0.335114i | ||||
\(820\) | −0.367464 | − | 1.47787i | −0.0128324 | − | 0.0516094i | ||||
\(821\) | 41.3781 | + | 23.8897i | 1.44411 | + | 0.833755i | 0.998120 | − | 0.0612857i | \(-0.0195201\pi\) |
0.445985 | + | 0.895040i | \(0.352853\pi\) | |||||||
\(822\) | −11.2887 | + | 26.5707i | −0.393738 | + | 0.926759i | ||||
\(823\) | −26.7640 | + | 15.4522i | −0.932933 | + | 0.538629i | −0.887738 | − | 0.460349i | \(-0.847724\pi\) |
−0.0451951 | + | 0.998978i | \(0.514391\pi\) | |||||||
\(824\) | 40.6269 | − | 15.5503i | 1.41531 | − | 0.541719i | ||||
\(825\) | −2.40419 | − | 5.32552i | −0.0837033 | − | 0.185411i | ||||
\(826\) | 5.85266 | + | 7.77193i | 0.203640 | + | 0.270420i | ||||
\(827\) | 32.7794 | 1.13985 | 0.569926 | − | 0.821696i | \(-0.306972\pi\) | ||||
0.569926 | + | 0.821696i | \(0.306972\pi\) | |||||||
\(828\) | −2.63906 | + | 2.54524i | −0.0917138 | + | 0.0884531i | ||||
\(829\) | 23.1261 | − | 40.0556i | 0.803203 | − | 1.39119i | −0.114294 | − | 0.993447i | \(-0.536461\pi\) |
0.917498 | − | 0.397742i | \(-0.130206\pi\) | |||||||
\(830\) | −33.8363 | − | 14.3755i | −1.17447 | − | 0.498981i | ||||
\(831\) | 19.2663 | 0.668341 | ||||||||
\(832\) | 0.247259 | + | 28.8434i | 0.00857218 | + | 0.999963i | ||||
\(833\) | 21.1549i | 0.732973i | ||||||||
\(834\) | 11.1224 | − | 26.1794i | 0.385139 | − | 0.906519i | ||||
\(835\) | 9.22388 | − | 15.9762i | 0.319206 | − | 0.552880i | ||||
\(836\) | 40.1105 | − | 31.6318i | 1.38725 | − | 1.09401i | ||||
\(837\) | −42.0379 | −1.45304 | ||||||||
\(838\) | 3.64512 | + | 4.84048i | 0.125919 | + | 0.167212i | ||||
\(839\) | 26.2019 | − | 15.1277i | 0.904589 | − | 0.522265i | 0.0259029 | − | 0.999664i | \(-0.491754\pi\) |
0.878686 | + | 0.477400i | \(0.158421\pi\) | |||||||
\(840\) | 8.69413 | − | 3.32775i | 0.299976 | − | 0.114818i | ||||
\(841\) | 5.14943 | + | 8.91907i | 0.177567 | + | 0.307554i | ||||
\(842\) | −39.8259 | − | 16.9202i | −1.37249 | − | 0.583109i | ||||
\(843\) | −11.1509 | + | 19.3139i | −0.384057 | + | 0.665205i | ||||
\(844\) | 25.7639 | − | 6.40606i | 0.886830 | − | 0.220506i | ||||
\(845\) | 3.01433 | + | 23.8496i | 0.103696 | + | 0.820450i | ||||
\(846\) | 18.0210 | − | 2.20682i | 0.619575 | − | 0.0758720i | ||||
\(847\) | 11.6174 | − | 13.1743i | 0.399179 | − | 0.452674i | ||||
\(848\) | −0.146825 | + | 4.05499i | −0.00504199 | + | 0.139249i | ||||
\(849\) | 12.5083 | − | 7.22168i | 0.429284 | − | 0.247847i | ||||
\(850\) | −10.5468 | + | 1.29154i | −0.361752 | + | 0.0442995i | ||||
\(851\) | −4.02242 | + | 2.32234i | −0.137887 | + | 0.0796089i | ||||
\(852\) | 13.1347 | + | 13.6189i | 0.449988 | + | 0.466577i | ||||
\(853\) | − | 34.2981i | − | 1.17435i | −0.809462 | − | 0.587173i | \(-0.800241\pi\) | ||
0.809462 | − | 0.587173i | \(-0.199759\pi\) | |||||||
\(854\) | −2.85306 | − | 3.78867i | −0.0976296 | − | 0.129646i | ||||
\(855\) | 12.5143 | − | 21.6753i | 0.427979 | − | 0.741281i | ||||
\(856\) | 3.73739 | + | 0.595641i | 0.127741 | + | 0.0203586i | ||||
\(857\) | 27.3039i | 0.932683i | 0.884605 | + | 0.466342i | \(0.154428\pi\) | ||||
−0.884605 | + | 0.466342i | \(0.845572\pi\) | |||||||
\(858\) | −14.4148 | − | 12.1470i | −0.492114 | − | 0.414692i | ||||
\(859\) | 0.0474933i | 0.00162045i | 1.00000 | 0.000810225i | \(0.000257903\pi\) | |||||
−1.00000 | 0.000810225i | \(0.999742\pi\) | ||||||||
\(860\) | −2.80718 | + | 9.76608i | −0.0957239 | + | 0.333020i | ||||
\(861\) | 0.366449 | − | 0.634708i | 0.0124886 | − | 0.0216308i | ||||
\(862\) | −21.2839 | + | 16.0278i | −0.724931 | + | 0.545909i | ||||
\(863\) | 37.8425i | 1.28817i | 0.764953 | + | 0.644087i | \(0.222762\pi\) | ||||
−0.764953 | + | 0.644087i | \(0.777238\pi\) | |||||||
\(864\) | −27.1673 | − | 12.7215i | −0.924250 | − | 0.432795i | ||||
\(865\) | −9.99395 | + | 5.77001i | −0.339805 | + | 0.196186i | ||||
\(866\) | 5.72063 | + | 46.7150i | 0.194395 | + | 1.58744i | ||||
\(867\) | 5.40341 | − | 3.11966i | 0.183509 | − | 0.105949i | ||||
\(868\) | −24.3312 | − | 6.99380i | −0.825856 | − | 0.237385i | ||||
\(869\) | 15.4746 | + | 11.1210i | 0.524940 | + | 0.377254i | ||||
\(870\) | 2.22114 | + | 18.1380i | 0.0753038 | + | 0.614934i | ||||
\(871\) | −32.3920 | + | 10.9022i | −1.09756 | + | 0.369407i | ||||
\(872\) | 7.52573 | − | 2.88053i | 0.254853 | − | 0.0975470i | ||||
\(873\) | 5.74159 | − | 9.94473i | 0.194323 | − | 0.336578i | ||||
\(874\) | 4.44194 | − | 10.4552i | 0.150251 | − | 0.353653i | ||||
\(875\) | −9.71547 | − | 16.8277i | −0.328443 | − | 0.568879i | ||||
\(876\) | −14.3973 | + | 3.57981i | −0.486439 | + | 0.120951i | ||||
\(877\) | −7.31343 | + | 4.22241i | −0.246957 | + | 0.142581i | −0.618370 | − | 0.785887i | \(-0.712207\pi\) |
0.371413 | + | 0.928468i | \(0.378873\pi\) | |||||||
\(878\) | −4.47732 | + | 3.37165i | −0.151102 | + | 0.113788i | ||||
\(879\) | 11.3225 | 0.381898 | ||||||||
\(880\) | 15.0281 | − | 19.3902i | 0.506598 | − | 0.653644i | ||||
\(881\) | −20.8344 | + | 36.0863i | −0.701930 | + | 1.21578i | 0.265858 | + | 0.964012i | \(0.414345\pi\) |
−0.967788 | + | 0.251767i | \(0.918988\pi\) | |||||||
\(882\) | 10.1806 | + | 4.32526i | 0.342798 | + | 0.145639i | ||||
\(883\) | 40.9787i | 1.37904i | 0.724266 | + | 0.689521i | \(0.242179\pi\) | ||||
−0.724266 | + | 0.689521i | \(0.757821\pi\) | |||||||
\(884\) | −28.8900 | + | 18.4510i | −0.971678 | + | 0.620574i | ||||
\(885\) | −8.88020 | −0.298505 | ||||||||
\(886\) | −7.56041 | + | 17.7953i | −0.253997 | + | 0.597845i | ||||
\(887\) | 17.4268 | − | 30.1841i | 0.585135 | − | 1.01348i | −0.409723 | − | 0.912210i | \(-0.634375\pi\) |
0.994859 | − | 0.101274i | \(-0.0322919\pi\) | |||||||
\(888\) | −10.9018 | − | 8.84549i | −0.365839 | − | 0.296835i | ||||
\(889\) | −28.3100 | −0.949489 | ||||||||
\(890\) | −35.1872 | + | 26.4977i | −1.17948 | + | 0.888205i | ||||
\(891\) | 1.92943 | − | 0.871038i | 0.0646384 | − | 0.0291809i | ||||
\(892\) | 7.43227 | + | 29.8911i | 0.248851 | + | 1.00083i | ||||
\(893\) | −48.7149 | + | 28.1255i | −1.63018 | + | 0.941185i | ||||
\(894\) | 17.5414 | + | 7.45253i | 0.586671 | + | 0.249250i | ||||
\(895\) | −31.0068 | − | 17.9018i | −1.03644 | − | 0.598392i | ||||
\(896\) | −13.6078 | − | 11.8829i | −0.454603 | − | 0.396980i | ||||
\(897\) | −4.10925 | − | 0.828445i | −0.137204 | − | 0.0276610i | ||||
\(898\) | −2.74779 | − | 22.4386i | −0.0916948 | − | 0.748784i | ||||
\(899\) | 24.8473 | − | 43.0368i | 0.828704 | − | 1.43536i | ||||
\(900\) | −1.53482 | + | 5.33960i | −0.0511608 | + | 0.177987i | ||||
\(901\) | −4.17615 | + | 2.41110i | −0.139128 | + | 0.0803254i | ||||
\(902\) | −0.0430854 | − | 1.93089i | −0.00143459 | − | 0.0642915i | ||||
\(903\) | −4.23517 | + | 2.44518i | −0.140938 | + | 0.0813705i | ||||
\(904\) | 2.76063 | − | 3.40238i | 0.0918172 | − | 0.113161i | ||||
\(905\) | −3.97641 | −0.132180 | ||||||||
\(906\) | −14.9447 | − | 19.8456i | −0.496506 | − | 0.659327i | ||||
\(907\) | 25.5599 | + | 14.7570i | 0.848703 | + | 0.489999i | 0.860213 | − | 0.509935i | \(-0.170330\pi\) |
−0.0115098 | + | 0.999934i | \(0.503664\pi\) | |||||||
\(908\) | 16.3476 | − | 56.8728i | 0.542514 | − | 1.88739i | ||||
\(909\) | 0.495830i | 0.0164456i | ||||||||
\(910\) | −12.4207 | − | 8.50995i | −0.411741 | − | 0.282102i | ||||
\(911\) | 23.0961i | 0.765209i | 0.923912 | + | 0.382605i | \(0.124973\pi\) | ||||
−0.923912 | + | 0.382605i | \(0.875027\pi\) | |||||||
\(912\) | 34.3130 | + | 1.24242i | 1.13622 | + | 0.0411406i | ||||
\(913\) | −37.8618 | − | 27.2098i | −1.25304 | − | 0.900512i | ||||
\(914\) | −14.5704 | − | 19.3485i | −0.481944 | − | 0.639990i | ||||
\(915\) | 4.32893 | 0.143110 | ||||||||
\(916\) | −0.463177 | − | 0.480251i | −0.0153038 | − | 0.0158680i | ||||
\(917\) | 4.36944 | + | 7.56809i | 0.144292 | + | 0.249920i | ||||
\(918\) | −4.33335 | − | 35.3863i | −0.143022 | − | 1.16792i | ||||
\(919\) | 21.2446 | + | 36.7966i | 0.700793 | + | 1.21381i | 0.968188 | + | 0.250222i | \(0.0805038\pi\) |
−0.267395 | + | 0.963587i | \(0.586163\pi\) | |||||||
\(920\) | 0.858614 | − | 5.38744i | 0.0283077 | − | 0.177619i | ||||
\(921\) | −8.35117 | − | 4.82155i | −0.275181 | − | 0.158876i | ||||
\(922\) | 2.21174 | − | 0.270846i | 0.0728399 | − | 0.00891984i | ||||
\(923\) | 6.04775 | − | 29.9980i | 0.199064 | − | 0.987397i | ||||
\(924\) | 11.6839 | − | 1.69614i | 0.384372 | − | 0.0557988i | ||||
\(925\) | −3.51907 | + | 6.09521i | −0.115706 | + | 0.200409i | ||||
\(926\) | 6.13633 | − | 14.4434i | 0.201652 | − | 0.474639i | ||||
\(927\) | 23.4098 | − | 13.5157i | 0.768879 | − | 0.443913i | ||||
\(928\) | 29.0815 | − | 20.2935i | 0.954649 | − | 0.666168i | ||||
\(929\) | 13.6195 | + | 23.5897i | 0.446843 | + | 0.773954i | 0.998179 | − | 0.0603291i | \(-0.0192150\pi\) |
−0.551336 | + | 0.834283i | \(0.685882\pi\) | |||||||
\(930\) | 18.4588 | − | 13.9004i | 0.605288 | − | 0.455812i | ||||
\(931\) | −34.2709 | −1.12318 | ||||||||
\(932\) | 10.7351 | − | 10.3535i | 0.351641 | − | 0.339139i | ||||
\(933\) | 7.08535 | − | 12.2722i | 0.231964 | − | 0.401773i | ||||
\(934\) | −18.8497 | + | 44.3674i | −0.616780 | + | 1.45174i | ||||
\(935\) | 29.0102 | + | 2.89729i | 0.948735 | + | 0.0947516i | ||||
\(936\) | 2.97259 | + | 17.6755i | 0.0971620 | + | 0.577741i | ||||
\(937\) | − | 8.35337i | − | 0.272893i | −0.990647 | − | 0.136446i | \(-0.956432\pi\) | ||
0.990647 | − | 0.136446i | \(-0.0435681\pi\) | |||||||
\(938\) | 8.37035 | − | 19.7017i | 0.273302 | − | 0.643283i | ||||
\(939\) | 21.4011 | + | 12.3560i | 0.698400 | + | 0.403221i | ||||
\(940\) | −19.4445 | + | 18.7532i | −0.634210 | + | 0.611662i | ||||
\(941\) | − | 59.5806i | − | 1.94227i | −0.238524 | − | 0.971137i | \(-0.576663\pi\) | ||
0.238524 | − | 0.971137i | \(-0.423337\pi\) | |||||||
\(942\) | 19.8872 | + | 26.4089i | 0.647961 | + | 0.860449i | ||||
\(943\) | −0.214748 | − | 0.371954i | −0.00699315 | − | 0.0121125i | ||||
\(944\) | 8.07094 | + | 15.2264i | 0.262687 | + | 0.495578i | ||||
\(945\) | 13.5608 | − | 7.82931i | 0.441132 | − | 0.254687i | ||||
\(946\) | −6.19306 | + | 11.3017i | −0.201354 | + | 0.367450i | ||||
\(947\) | 21.2899 | + | 12.2917i | 0.691827 | + | 0.399427i | 0.804296 | − | 0.594229i | \(-0.202543\pi\) |
−0.112469 | + | 0.993655i | \(0.535876\pi\) | |||||||
\(948\) | 3.09073 | + | 12.4303i | 0.100382 | + | 0.403717i | ||||
\(949\) | 17.9990 | + | 15.8673i | 0.584272 | + | 0.515075i | ||||
\(950\) | −2.09230 | − | 17.0858i | −0.0678830 | − | 0.554336i | ||||
\(951\) | −20.9219 | − | 12.0793i | −0.678439 | − | 0.391697i | ||||
\(952\) | 3.37908 | − | 21.2023i | 0.109517 | − | 0.687170i | ||||
\(953\) | 29.7481 | − | 17.1751i | 0.963637 | − | 0.556356i | 0.0663462 | − | 0.997797i | \(-0.478866\pi\) |
0.897290 | + | 0.441441i | \(0.145533\pi\) | |||||||
\(954\) | 0.306476 | + | 2.50270i | 0.00992252 | + | 0.0810278i | ||||
\(955\) | 20.2105 | − | 11.6685i | 0.653997 | − | 0.377585i | ||||
\(956\) | −15.5880 | − | 16.1626i | −0.504152 | − | 0.522737i | ||||
\(957\) | −2.30308 | + | 23.0605i | −0.0744481 | + | 0.745439i | ||||
\(958\) | 40.6052 | − | 30.5778i | 1.31190 | − | 0.987923i | ||||
\(959\) | −14.6220 | + | 25.3261i | −0.472170 | + | 0.817822i | ||||
\(960\) | 16.1357 | − | 3.39722i | 0.520777 | − | 0.109645i | ||||
\(961\) | −31.8404 | −1.02711 | ||||||||
\(962\) | −1.74858 | + | 22.6384i | −0.0563766 | + | 0.729892i | ||||
\(963\) | 2.35170 | 0.0757824 | ||||||||
\(964\) | −7.33030 | − | 2.10703i | −0.236093 | − | 0.0678629i | ||||
\(965\) | −42.7748 | − | 24.6960i | −1.37697 | − | 0.794994i | ||||
\(966\) | 2.09732 | − | 1.57939i | 0.0674801 | − | 0.0508159i | ||||
\(967\) | −5.66688 | −0.182235 | −0.0911173 | − | 0.995840i | \(-0.529044\pi\) | ||||
−0.0911173 | + | 0.995840i | \(0.529044\pi\) | |||||||
\(968\) | 23.9941 | − | 19.8061i | 0.771201 | − | 0.636592i | ||||
\(969\) | 20.4025 | + | 35.3382i | 0.655423 | + | 1.13523i | ||||
\(970\) | 2.07683 | + | 16.9595i | 0.0666829 | + | 0.544536i | ||||
\(971\) | 8.57282 | − | 4.94952i | 0.275115 | − | 0.158838i | −0.356095 | − | 0.934450i | \(-0.615892\pi\) |
0.631210 | + | 0.775612i | \(0.282559\pi\) | |||||||
\(972\) | −29.2122 | − | 8.39681i | −0.936983 | − | 0.269328i | ||||
\(973\) | 14.4067 | − | 24.9531i | 0.461858 | − | 0.799961i | ||||
\(974\) | −41.0456 | + | 5.02637i | −1.31519 | + | 0.161055i | ||||
\(975\) | −6.02023 | + | 2.02623i | −0.192802 | + | 0.0648913i | ||||
\(976\) | −3.93443 | − | 7.42260i | −0.125938 | − | 0.237592i | ||||
\(977\) | 20.3945 | − | 35.3243i | 0.652477 | − | 1.13012i | −0.330043 | − | 0.943966i | \(-0.607063\pi\) |
0.982520 | − | 0.186158i | \(-0.0596035\pi\) | |||||||
\(978\) | 11.4388 | + | 4.85982i | 0.365772 | + | 0.155400i | ||||
\(979\) | −50.9161 | + | 22.9860i | −1.62729 | + | 0.734635i | ||||
\(980\) | −15.9721 | + | 3.97138i | −0.510209 | + | 0.126861i | ||||
\(981\) | 4.33643 | − | 2.50364i | 0.138452 | − | 0.0799351i | ||||
\(982\) | 18.7852 | − | 14.1462i | 0.599461 | − | 0.451424i | ||||
\(983\) | 32.1882i | 1.02665i | 0.858196 | + | 0.513323i | \(0.171586\pi\) | ||||
−0.858196 | + | 0.513323i | \(0.828414\pi\) | |||||||
\(984\) | 0.817945 | − | 1.00809i | 0.0260751 | − | 0.0321367i | ||||
\(985\) | −15.2051 | − | 8.77869i | −0.484476 | − | 0.279712i | ||||
\(986\) | 38.7885 | + | 16.4795i | 1.23528 | + | 0.524813i | ||||
\(987\) | −13.0010 | −0.413825 | ||||||||
\(988\) | −29.8906 | − | 46.8019i | −0.950946 | − | 1.48897i | ||||
\(989\) | 2.86586i | 0.0911292i | ||||||||
\(990\) | 7.32563 | − | 13.3685i | 0.232824 | − | 0.424879i | ||||
\(991\) | −3.25161 | − | 1.87732i | −0.103291 | − | 0.0596350i | 0.447465 | − | 0.894302i | \(-0.352327\pi\) |
−0.550756 | + | 0.834667i | \(0.685660\pi\) | |||||||
\(992\) | −40.6110 | − | 19.0168i | −1.28940 | − | 0.603783i | ||||
\(993\) | −11.1925 | −0.355183 | ||||||||
\(994\) | 11.5297 | + | 15.3107i | 0.365700 | + | 0.485625i | ||||
\(995\) | −14.4738 | + | 8.35643i | −0.458849 | + | 0.264917i | ||||
\(996\) | −7.56211 | − | 30.4133i | −0.239615 | − | 0.963681i | ||||
\(997\) | 6.39909 | − | 3.69452i | 0.202661 | − | 0.117007i | −0.395235 | − | 0.918580i | \(-0.629337\pi\) |
0.597896 | + | 0.801574i | \(0.296003\pi\) | |||||||
\(998\) | −6.40453 | + | 15.0747i | −0.202732 | + | 0.477180i | ||||
\(999\) | −20.4505 | − | 11.8071i | −0.647025 | − | 0.373560i |
(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 | 572.2.t.a.87.12 | ✓ | 160 | |
4.3 | odd | 2 | inner | 572.2.t.a.87.15 | yes | 160 | |
11.10 | odd | 2 | inner | 572.2.t.a.87.69 | yes | 160 | |
13.3 | even | 3 | inner | 572.2.t.a.263.66 | yes | 160 | |
44.43 | even | 2 | inner | 572.2.t.a.87.66 | yes | 160 | |
52.3 | odd | 6 | inner | 572.2.t.a.263.69 | yes | 160 | |
143.120 | odd | 6 | inner | 572.2.t.a.263.15 | yes | 160 | |
572.263 | even | 6 | inner | 572.2.t.a.263.12 | yes | 160 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
572.2.t.a.87.12 | ✓ | 160 | 1.1 | even | 1 | trivial | |
572.2.t.a.87.15 | yes | 160 | 4.3 | odd | 2 | inner | |
572.2.t.a.87.66 | yes | 160 | 44.43 | even | 2 | inner | |
572.2.t.a.87.69 | yes | 160 | 11.10 | odd | 2 | inner | |
572.2.t.a.263.12 | yes | 160 | 572.263 | even | 6 | inner | |
572.2.t.a.263.15 | yes | 160 | 143.120 | odd | 6 | inner | |
572.2.t.a.263.66 | yes | 160 | 13.3 | even | 3 | inner | |
572.2.t.a.263.69 | yes | 160 | 52.3 | odd | 6 | inner |