Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [361,2,Mod(28,361)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(361, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("361.28");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 361 = 19^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 361.e (of order \(9\), degree \(6\), not 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: | \(2.88259951297\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{9})\) |
Coefficient field: | 12.0.6053445140625.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 4x^{9} + 17x^{6} + 4x^{3} + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{9}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 245.2 | ||
Root | \(-0.280969 + 1.59345i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 361.245 |
Dual form | 361.2.e.j.28.2 |
$q$-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 \(\left(\mathbb{Z}/361\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{5}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.280969 | − | 1.59345i | 0.198675 | − | 1.12674i | −0.708413 | − | 0.705799i | \(-0.750588\pi\) |
0.907087 | − | 0.420942i | \(-0.138301\pi\) | |||||||
\(3\) | 0.292603 | + | 0.245523i | 0.168934 | + | 0.141753i | 0.723335 | − | 0.690497i | \(-0.242608\pi\) |
−0.554401 | + | 0.832250i | \(0.687053\pi\) | |||||||
\(4\) | −0.580762 | − | 0.211380i | −0.290381 | − | 0.105690i | ||||
\(5\) | −3.04091 | + | 1.10680i | −1.35994 | + | 0.494976i | −0.916035 | − | 0.401099i | \(-0.868628\pi\) |
−0.443901 | + | 0.896076i | \(0.646406\pi\) | |||||||
\(6\) | 0.473442 | − | 0.397265i | 0.193282 | − | 0.162183i | ||||
\(7\) | −1.50000 | − | 2.59808i | −0.566947 | − | 0.981981i | −0.996866 | − | 0.0791130i | \(-0.974791\pi\) |
0.429919 | − | 0.902867i | \(-0.358542\pi\) | |||||||
\(8\) | 1.11803 | − | 1.93649i | 0.395285 | − | 0.684653i | ||||
\(9\) | −0.495610 | − | 2.81074i | −0.165203 | − | 0.936914i | ||||
\(10\) | 0.909234 | + | 5.15652i | 0.287525 | + | 1.63063i | ||||
\(11\) | 0.809017 | − | 1.40126i | 0.243928 | − | 0.422495i | −0.717902 | − | 0.696144i | \(-0.754897\pi\) |
0.961830 | + | 0.273649i | \(0.0882307\pi\) | |||||||
\(12\) | −0.118034 | − | 0.204441i | −0.0340735 | − | 0.0590170i | ||||
\(13\) | −0.766044 | + | 0.642788i | −0.212463 | + | 0.178277i | −0.742808 | − | 0.669504i | \(-0.766507\pi\) |
0.530346 | + | 0.847781i | \(0.322062\pi\) | |||||||
\(14\) | −4.56136 | + | 1.66020i | −1.21908 | + | 0.443707i | ||||
\(15\) | −1.16152 | − | 0.422760i | −0.299904 | − | 0.109156i | ||||
\(16\) | −3.71846 | − | 3.12016i | −0.929614 | − | 0.780039i | ||||
\(17\) | 0.132655 | − | 0.752326i | 0.0321737 | − | 0.182466i | −0.964486 | − | 0.264134i | \(-0.914914\pi\) |
0.996660 | + | 0.0816685i | \(0.0260249\pi\) | |||||||
\(18\) | −4.61803 | −1.08848 | ||||||||
\(19\) | 0 | 0 | ||||||||
\(20\) | 2.00000 | 0.447214 | ||||||||
\(21\) | 0.198983 | − | 1.12849i | 0.0434217 | − | 0.246257i | ||||
\(22\) | −2.00553 | − | 1.68284i | −0.427581 | − | 0.358783i | ||||
\(23\) | −5.05739 | − | 1.84074i | −1.05454 | − | 0.383821i | −0.244165 | − | 0.969734i | \(-0.578514\pi\) |
−0.810374 | + | 0.585913i | \(0.800736\pi\) | |||||||
\(24\) | 0.802593 | − | 0.292120i | 0.163829 | − | 0.0596288i | ||||
\(25\) | 4.19190 | − | 3.51742i | 0.838380 | − | 0.703484i | ||||
\(26\) | 0.809017 | + | 1.40126i | 0.158661 | + | 0.274809i | ||||
\(27\) | 1.11803 | − | 1.93649i | 0.215166 | − | 0.372678i | ||||
\(28\) | 0.321961 | + | 1.82593i | 0.0608450 | + | 0.345069i | ||||
\(29\) | −0.628265 | − | 3.56307i | −0.116666 | − | 0.661645i | −0.985912 | − | 0.167265i | \(-0.946506\pi\) |
0.869246 | − | 0.494380i | \(-0.164605\pi\) | |||||||
\(30\) | −1.00000 | + | 1.73205i | −0.182574 | + | 0.316228i | ||||
\(31\) | 4.42705 | + | 7.66788i | 0.795122 | + | 1.37719i | 0.922762 | + | 0.385371i | \(0.125926\pi\) |
−0.127640 | + | 0.991821i | \(0.540740\pi\) | |||||||
\(32\) | −2.59074 | + | 2.17389i | −0.457982 | + | 0.384292i | ||||
\(33\) | 0.580762 | − | 0.211380i | 0.101098 | − | 0.0367965i | ||||
\(34\) | −1.16152 | − | 0.422760i | −0.199200 | − | 0.0725028i | ||||
\(35\) | 7.43692 | + | 6.24031i | 1.25707 | + | 1.05481i | ||||
\(36\) | −0.306304 | + | 1.73713i | −0.0510506 | + | 0.289522i | ||||
\(37\) | 8.85410 | 1.45561 | 0.727803 | − | 0.685787i | \(-0.240542\pi\) | ||||
0.727803 | + | 0.685787i | \(0.240542\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −0.381966 | −0.0611635 | ||||||||
\(40\) | −1.25653 | + | 7.12614i | −0.198675 | + | 1.12674i | ||||
\(41\) | −2.29813 | − | 1.92836i | −0.358908 | − | 0.301160i | 0.445447 | − | 0.895308i | \(-0.353045\pi\) |
−0.804355 | + | 0.594149i | \(0.797489\pi\) | |||||||
\(42\) | −1.74229 | − | 0.634140i | −0.268841 | − | 0.0978500i | ||||
\(43\) | 0.137099 | − | 0.0499001i | 0.0209074 | − | 0.00760969i | −0.331545 | − | 0.943439i | \(-0.607570\pi\) |
0.352453 | + | 0.935830i | \(0.385348\pi\) | |||||||
\(44\) | −0.766044 | + | 0.642788i | −0.115486 | + | 0.0969039i | ||||
\(45\) | 4.61803 | + | 7.99867i | 0.688416 | + | 1.19237i | ||||
\(46\) | −4.35410 | + | 7.54153i | −0.641977 | + | 1.11194i | ||||
\(47\) | 0.520945 | + | 2.95442i | 0.0759876 | + | 0.430947i | 0.998940 | + | 0.0460327i | \(0.0146579\pi\) |
−0.922952 | + | 0.384914i | \(0.874231\pi\) | |||||||
\(48\) | −0.321961 | − | 1.82593i | −0.0464711 | − | 0.263551i | ||||
\(49\) | −1.00000 | + | 1.73205i | −0.142857 | + | 0.247436i | ||||
\(50\) | −4.42705 | − | 7.66788i | −0.626080 | − | 1.08440i | ||||
\(51\) | 0.223529 | − | 0.187563i | 0.0313003 | − | 0.0262641i | ||||
\(52\) | 0.580762 | − | 0.211380i | 0.0805372 | − | 0.0293131i | ||||
\(53\) | 5.94472 | + | 2.16370i | 0.816570 | + | 0.297207i | 0.716335 | − | 0.697757i | \(-0.245818\pi\) |
0.100235 | + | 0.994964i | \(0.468041\pi\) | |||||||
\(54\) | −2.77157 | − | 2.32563i | −0.377164 | − | 0.316478i | ||||
\(55\) | −0.909234 | + | 5.15652i | −0.122601 | + | 0.695305i | ||||
\(56\) | −6.70820 | −0.896421 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −5.85410 | −0.768681 | ||||||||
\(59\) | 0.0566506 | − | 0.321282i | 0.00737528 | − | 0.0418273i | −0.980898 | − | 0.194523i | \(-0.937684\pi\) |
0.988273 | + | 0.152695i | \(0.0487953\pi\) | |||||||
\(60\) | 0.585206 | + | 0.491046i | 0.0755498 | + | 0.0633938i | ||||
\(61\) | 9.61876 | + | 3.50094i | 1.23156 | + | 0.448250i | 0.874130 | − | 0.485692i | \(-0.161432\pi\) |
0.357426 | + | 0.933942i | \(0.383655\pi\) | |||||||
\(62\) | 13.4623 | − | 4.89986i | 1.70971 | − | 0.622283i | ||||
\(63\) | −6.55911 | + | 5.50374i | −0.826370 | + | 0.693407i | ||||
\(64\) | −2.11803 | − | 3.66854i | −0.264754 | − | 0.458568i | ||||
\(65\) | 1.61803 | − | 2.80252i | 0.200692 | − | 0.347609i | ||||
\(66\) | −0.173648 | − | 0.984808i | −0.0213746 | − | 0.121221i | ||||
\(67\) | −1.21554 | − | 6.89365i | −0.148502 | − | 0.842194i | −0.964489 | − | 0.264124i | \(-0.914917\pi\) |
0.815987 | − | 0.578070i | \(-0.196194\pi\) | |||||||
\(68\) | −0.236068 | + | 0.408882i | −0.0286274 | + | 0.0495842i | ||||
\(69\) | −1.02786 | − | 1.78031i | −0.123740 | − | 0.214324i | ||||
\(70\) | 12.0332 | − | 10.0970i | 1.43824 | − | 1.20683i | ||||
\(71\) | 7.02151 | − | 2.55562i | 0.833300 | − | 0.303296i | 0.110087 | − | 0.993922i | \(-0.464887\pi\) |
0.723213 | + | 0.690625i | \(0.242665\pi\) | |||||||
\(72\) | −5.99709 | − | 2.18276i | −0.706763 | − | 0.257241i | ||||
\(73\) | −2.07460 | − | 1.74080i | −0.242814 | − | 0.203745i | 0.513257 | − | 0.858235i | \(-0.328439\pi\) |
−0.756071 | + | 0.654490i | \(0.772883\pi\) | |||||||
\(74\) | 2.48773 | − | 14.1086i | 0.289192 | − | 1.64009i | ||||
\(75\) | 2.09017 | 0.241352 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −4.85410 | −0.553176 | ||||||||
\(78\) | −0.107320 | + | 0.608645i | −0.0121517 | + | 0.0689154i | ||||
\(79\) | 10.2776 | + | 8.62390i | 1.15632 | + | 0.970265i | 0.999848 | − | 0.0174184i | \(-0.00554472\pi\) |
0.156468 | + | 0.987683i | \(0.449989\pi\) | |||||||
\(80\) | 14.7609 | + | 5.37252i | 1.65032 | + | 0.600666i | ||||
\(81\) | −7.24334 | + | 2.63636i | −0.804816 | + | 0.292929i | ||||
\(82\) | −3.71846 | + | 3.12016i | −0.410635 | + | 0.344564i | ||||
\(83\) | −4.23607 | − | 7.33708i | −0.464969 | − | 0.805350i | 0.534231 | − | 0.845338i | \(-0.320601\pi\) |
−0.999200 | + | 0.0399887i | \(0.987268\pi\) | |||||||
\(84\) | −0.354102 | + | 0.613323i | −0.0386357 | + | 0.0669190i | ||||
\(85\) | 0.429282 | + | 2.43458i | 0.0465622 | + | 0.264067i | ||||
\(86\) | −0.0409928 | − | 0.232482i | −0.00442036 | − | 0.0250691i | ||||
\(87\) | 0.690983 | − | 1.19682i | 0.0740812 | − | 0.128312i | ||||
\(88\) | −1.80902 | − | 3.13331i | −0.192842 | − | 0.334012i | ||||
\(89\) | −5.94752 | + | 4.99056i | −0.630436 | + | 0.528998i | −0.901064 | − | 0.433686i | \(-0.857213\pi\) |
0.270629 | + | 0.962684i | \(0.412768\pi\) | |||||||
\(90\) | 14.0430 | − | 5.11124i | 1.48026 | − | 0.538772i | ||||
\(91\) | 2.81908 | + | 1.02606i | 0.295520 | + | 0.107560i | ||||
\(92\) | 2.54805 | + | 2.13806i | 0.265652 | + | 0.222909i | ||||
\(93\) | −0.587272 | + | 3.33059i | −0.0608973 | + | 0.345366i | ||||
\(94\) | 4.85410 | 0.500662 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −1.29180 | −0.131843 | ||||||||
\(97\) | 2.40574 | − | 13.6436i | 0.244266 | − | 1.38530i | −0.577926 | − | 0.816089i | \(-0.696138\pi\) |
0.822191 | − | 0.569211i | \(-0.192751\pi\) | |||||||
\(98\) | 2.47897 | + | 2.08010i | 0.250414 | + | 0.210122i | ||||
\(99\) | −4.33953 | − | 1.57946i | −0.436139 | − | 0.158742i | ||||
\(100\) | −3.17801 | + | 1.15670i | −0.317801 | + | 0.115670i | ||||
\(101\) | −7.03255 | + | 5.90101i | −0.699765 | + | 0.587172i | −0.921707 | − | 0.387888i | \(-0.873205\pi\) |
0.221942 | + | 0.975060i | \(0.428760\pi\) | |||||||
\(102\) | −0.236068 | − | 0.408882i | −0.0233742 | − | 0.0404853i | ||||
\(103\) | −7.16312 | + | 12.4069i | −0.705803 | + | 1.22249i | 0.260598 | + | 0.965447i | \(0.416080\pi\) |
−0.966401 | + | 0.257039i | \(0.917253\pi\) | |||||||
\(104\) | 0.388289 | + | 2.20210i | 0.0380749 | + | 0.215933i | ||||
\(105\) | 0.643923 | + | 3.65187i | 0.0628404 | + | 0.356386i | ||||
\(106\) | 5.11803 | − | 8.86469i | 0.497107 | − | 0.861015i | ||||
\(107\) | −8.20820 | − | 14.2170i | −0.793517 | − | 1.37441i | −0.923777 | − | 0.382932i | \(-0.874914\pi\) |
0.130260 | − | 0.991480i | \(-0.458419\pi\) | |||||||
\(108\) | −1.05865 | + | 0.888311i | −0.101868 | + | 0.0854777i | ||||
\(109\) | 3.09328 | − | 1.12586i | 0.296282 | − | 0.107838i | −0.189602 | − | 0.981861i | \(-0.560720\pi\) |
0.485884 | + | 0.874023i | \(0.338498\pi\) | |||||||
\(110\) | 7.96120 | + | 2.89764i | 0.759071 | + | 0.276279i | ||||
\(111\) | 2.59074 | + | 2.17389i | 0.245902 | + | 0.206336i | ||||
\(112\) | −2.52872 | + | 14.3411i | −0.238941 | + | 1.35510i | ||||
\(113\) | 6.76393 | 0.636297 | 0.318149 | − | 0.948041i | \(-0.396939\pi\) | ||||
0.318149 | + | 0.948041i | \(0.396939\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 17.4164 | 1.62409 | ||||||||
\(116\) | −0.388289 | + | 2.20210i | −0.0360517 | + | 0.204460i | ||||
\(117\) | 2.18637 | + | 1.83458i | 0.202130 | + | 0.169607i | ||||
\(118\) | −0.496030 | − | 0.180540i | −0.0456633 | − | 0.0166201i | ||||
\(119\) | −2.15358 | + | 0.783840i | −0.197419 | + | 0.0718545i | ||||
\(120\) | −2.11729 | + | 1.77662i | −0.193282 | + | 0.162183i | ||||
\(121\) | 4.19098 | + | 7.25900i | 0.380998 | + | 0.659909i | ||||
\(122\) | 8.28115 | − | 14.3434i | 0.749740 | − | 1.29859i | ||||
\(123\) | −0.198983 | − | 1.12849i | −0.0179417 | − | 0.101752i | ||||
\(124\) | −0.950226 | − | 5.38900i | −0.0853329 | − | 0.483947i | ||||
\(125\) | −0.763932 | + | 1.32317i | −0.0683282 | + | 0.118348i | ||||
\(126\) | 6.92705 | + | 11.9980i | 0.617111 | + | 1.06887i | ||||
\(127\) | 4.41543 | − | 3.70498i | 0.391806 | − | 0.328764i | −0.425510 | − | 0.904954i | \(-0.639905\pi\) |
0.817316 | + | 0.576189i | \(0.195461\pi\) | |||||||
\(128\) | −12.7968 | + | 4.65764i | −1.13109 | + | 0.411681i | ||||
\(129\) | 0.0523673 | + | 0.0190601i | 0.00461068 | + | 0.00167815i | ||||
\(130\) | −4.01106 | − | 3.36568i | −0.351793 | − | 0.295190i | ||||
\(131\) | 2.62038 | − | 14.8609i | 0.228944 | − | 1.29840i | −0.626057 | − | 0.779777i | \(-0.715332\pi\) |
0.855001 | − | 0.518627i | \(-0.173557\pi\) | |||||||
\(132\) | −0.381966 | −0.0332459 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −11.3262 | −0.978438 | ||||||||
\(135\) | −1.25653 | + | 7.12614i | −0.108145 | + | 0.613320i | ||||
\(136\) | −1.30856 | − | 1.09801i | −0.112208 | − | 0.0941538i | ||||
\(137\) | −7.02151 | − | 2.55562i | −0.599888 | − | 0.218341i | 0.0241848 | − | 0.999708i | \(-0.492301\pi\) |
−0.624073 | + | 0.781366i | \(0.714523\pi\) | |||||||
\(138\) | −3.12564 | + | 1.13764i | −0.266072 | + | 0.0968424i | ||||
\(139\) | 11.3362 | − | 9.51221i | 0.961525 | − | 0.806815i | −0.0196755 | − | 0.999806i | \(-0.506263\pi\) |
0.981200 | + | 0.192991i | \(0.0618189\pi\) | |||||||
\(140\) | −3.00000 | − | 5.19615i | −0.253546 | − | 0.439155i | ||||
\(141\) | −0.572949 | + | 0.992377i | −0.0482510 | + | 0.0835732i | ||||
\(142\) | −2.09944 | − | 11.9065i | −0.176181 | − | 0.999171i | ||||
\(143\) | 0.280969 | + | 1.59345i | 0.0234958 | + | 0.133251i | ||||
\(144\) | −6.92705 | + | 11.9980i | −0.577254 | + | 0.999834i | ||||
\(145\) | 5.85410 | + | 10.1396i | 0.486157 | + | 0.842048i | ||||
\(146\) | −3.35678 | + | 2.81667i | −0.277809 | + | 0.233110i | ||||
\(147\) | −0.717861 | + | 0.261280i | −0.0592082 | + | 0.0215500i | ||||
\(148\) | −5.14213 | − | 1.87158i | −0.422680 | − | 0.153843i | ||||
\(149\) | −1.46301 | − | 1.22762i | −0.119855 | − | 0.100570i | 0.580890 | − | 0.813982i | \(-0.302705\pi\) |
−0.700745 | + | 0.713412i | \(0.747149\pi\) | |||||||
\(150\) | 0.587272 | − | 3.33059i | 0.0479506 | − | 0.271941i | ||||
\(151\) | −21.0902 | −1.71629 | −0.858147 | − | 0.513404i | \(-0.828384\pi\) | ||||
−0.858147 | + | 0.513404i | \(0.828384\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −2.18034 | −0.176270 | ||||||||
\(154\) | −1.36385 | + | 7.73478i | −0.109902 | + | 0.623286i | ||||
\(155\) | −21.9491 | − | 18.4175i | −1.76299 | − | 1.47933i | ||||
\(156\) | 0.221831 | + | 0.0807400i | 0.0177607 | + | 0.00646437i | ||||
\(157\) | 16.7774 | − | 6.10646i | 1.33898 | − | 0.487349i | 0.429489 | − | 0.903072i | \(-0.358694\pi\) |
0.909491 | + | 0.415723i | \(0.136472\pi\) | |||||||
\(158\) | 16.6294 | − | 13.9538i | 1.32297 | − | 1.11010i | ||||
\(159\) | 1.20820 | + | 2.09267i | 0.0958168 | + | 0.165960i | ||||
\(160\) | 5.47214 | − | 9.47802i | 0.432610 | − | 0.749303i | ||||
\(161\) | 2.80371 | + | 15.9006i | 0.220963 | + | 1.25314i | ||||
\(162\) | 2.16576 | + | 12.2827i | 0.170158 | + | 0.965017i | ||||
\(163\) | −0.881966 | + | 1.52761i | −0.0690809 | + | 0.119652i | −0.898497 | − | 0.438980i | \(-0.855340\pi\) |
0.829416 | + | 0.558631i | \(0.188673\pi\) | |||||||
\(164\) | 0.927051 | + | 1.60570i | 0.0723905 | + | 0.125384i | ||||
\(165\) | −1.53209 | + | 1.28558i | −0.119273 | + | 0.100082i | ||||
\(166\) | −12.8815 | + | 4.68848i | −0.999798 | + | 0.363897i | ||||
\(167\) | −19.0157 | − | 6.92114i | −1.47148 | − | 0.535574i | −0.522976 | − | 0.852347i | \(-0.675178\pi\) |
−0.948501 | + | 0.316773i | \(0.897401\pi\) | |||||||
\(168\) | −1.96284 | − | 1.64702i | −0.151436 | − | 0.127070i | ||||
\(169\) | −2.08378 | + | 11.8177i | −0.160291 | + | 0.909053i | ||||
\(170\) | 4.00000 | 0.306786 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −0.0901699 | −0.00687539 | ||||||||
\(173\) | −0.0819855 | + | 0.464963i | −0.00623325 | + | 0.0353505i | −0.987766 | − | 0.155945i | \(-0.950158\pi\) |
0.981533 | + | 0.191295i | \(0.0612689\pi\) | |||||||
\(174\) | −1.71293 | − | 1.43732i | −0.129857 | − | 0.108963i | ||||
\(175\) | −15.4264 | − | 5.61474i | −1.16612 | − | 0.424435i | ||||
\(176\) | −7.38044 | + | 2.68626i | −0.556322 | + | 0.202485i | ||||
\(177\) | 0.0954582 | − | 0.0800989i | 0.00717508 | − | 0.00602060i | ||||
\(178\) | 6.28115 | + | 10.8793i | 0.470792 | + | 0.815436i | ||||
\(179\) | −6.11803 | + | 10.5967i | −0.457283 | + | 0.792038i | −0.998816 | − | 0.0486416i | \(-0.984511\pi\) |
0.541533 | + | 0.840680i | \(0.317844\pi\) | |||||||
\(180\) | −0.991219 | − | 5.62148i | −0.0738811 | − | 0.419001i | ||||
\(181\) | 2.08378 | + | 11.8177i | 0.154886 | + | 0.878402i | 0.958890 | + | 0.283778i | \(0.0915880\pi\) |
−0.804004 | + | 0.594624i | \(0.797301\pi\) | |||||||
\(182\) | 2.42705 | − | 4.20378i | 0.179905 | − | 0.311605i | ||||
\(183\) | 1.95492 | + | 3.38601i | 0.144511 | + | 0.250301i | ||||
\(184\) | −9.21892 | + | 7.73559i | −0.679628 | + | 0.570275i | ||||
\(185\) | −26.9245 | + | 9.79972i | −1.97953 | + | 0.720490i | ||||
\(186\) | 5.14213 | + | 1.87158i | 0.377039 | + | 0.137231i | ||||
\(187\) | −0.946883 | − | 0.794529i | −0.0692429 | − | 0.0581017i | ||||
\(188\) | 0.321961 | − | 1.82593i | 0.0234815 | − | 0.133170i | ||||
\(189\) | −6.70820 | −0.487950 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 14.2361 | 1.03009 | 0.515043 | − | 0.857164i | \(-0.327776\pi\) | ||||
0.515043 | + | 0.857164i | \(0.327776\pi\) | |||||||
\(192\) | 0.280969 | − | 1.59345i | 0.0202772 | − | 0.114998i | ||||
\(193\) | 3.87291 | + | 3.24976i | 0.278778 | + | 0.233923i | 0.771446 | − | 0.636295i | \(-0.219534\pi\) |
−0.492668 | + | 0.870217i | \(0.663978\pi\) | |||||||
\(194\) | −21.0645 | − | 7.66686i | −1.51235 | − | 0.550449i | ||||
\(195\) | 1.16152 | − | 0.422760i | 0.0831785 | − | 0.0302745i | ||||
\(196\) | 0.946883 | − | 0.794529i | 0.0676345 | − | 0.0567521i | ||||
\(197\) | −1.50000 | − | 2.59808i | −0.106871 | − | 0.185105i | 0.807630 | − | 0.589689i | \(-0.200750\pi\) |
−0.914501 | + | 0.404584i | \(0.867416\pi\) | |||||||
\(198\) | −3.73607 | + | 6.47106i | −0.265511 | + | 0.459878i | ||||
\(199\) | −2.32973 | − | 13.2126i | −0.165151 | − | 0.936615i | −0.948909 | − | 0.315550i | \(-0.897811\pi\) |
0.783759 | − | 0.621066i | \(-0.213300\pi\) | |||||||
\(200\) | −2.12477 | − | 12.0502i | −0.150244 | − | 0.852076i | ||||
\(201\) | 1.33688 | − | 2.31555i | 0.0942963 | − | 0.163326i | ||||
\(202\) | 7.42705 | + | 12.8640i | 0.522565 | + | 0.905110i | ||||
\(203\) | −8.31472 | + | 6.97688i | −0.583579 | + | 0.489681i | ||||
\(204\) | −0.169464 | + | 0.0616799i | −0.0118649 | + | 0.00431845i | ||||
\(205\) | 9.12273 | + | 3.32040i | 0.637159 | + | 0.231907i | ||||
\(206\) | 17.7572 | + | 14.9000i | 1.23720 | + | 1.03813i | ||||
\(207\) | −2.66735 | + | 15.1273i | −0.185394 | + | 1.05142i | ||||
\(208\) | 4.85410 | 0.336571 | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 6.00000 | 0.414039 | ||||||||
\(211\) | −0.669258 | + | 3.79555i | −0.0460736 | + | 0.261296i | −0.999140 | − | 0.0414651i | \(-0.986797\pi\) |
0.953066 | + | 0.302762i | \(0.0979086\pi\) | |||||||
\(212\) | −2.99510 | − | 2.51319i | −0.205705 | − | 0.172607i | ||||
\(213\) | 2.68198 | + | 0.976160i | 0.183766 | + | 0.0668854i | ||||
\(214\) | −24.9604 | + | 9.08484i | −1.70626 | + | 0.621027i | ||||
\(215\) | −0.361677 | + | 0.303483i | −0.0246662 | + | 0.0206974i | ||||
\(216\) | −2.50000 | − | 4.33013i | −0.170103 | − | 0.294628i | ||||
\(217\) | 13.2812 | − | 23.0036i | 0.901583 | − | 1.56159i | ||||
\(218\) | −0.924892 | − | 5.24532i | −0.0626416 | − | 0.355258i | ||||
\(219\) | −0.179629 | − | 1.01873i | −0.0121382 | − | 0.0688391i | ||||
\(220\) | 1.61803 | − | 2.80252i | 0.109088 | − | 0.188946i | ||||
\(221\) | 0.381966 | + | 0.661585i | 0.0256938 | + | 0.0445030i | ||||
\(222\) | 4.19190 | − | 3.51742i | 0.281342 | − | 0.236074i | ||||
\(223\) | 10.9497 | − | 3.98538i | 0.733249 | − | 0.266881i | 0.0517096 | − | 0.998662i | \(-0.483533\pi\) |
0.681540 | + | 0.731781i | \(0.261311\pi\) | |||||||
\(224\) | 9.53403 | + | 3.47010i | 0.637019 | + | 0.231856i | ||||
\(225\) | −11.9641 | − | 10.0391i | −0.797607 | − | 0.669272i | ||||
\(226\) | 1.90045 | − | 10.7780i | 0.126416 | − | 0.716942i | ||||
\(227\) | 16.4164 | 1.08960 | 0.544798 | − | 0.838568i | \(-0.316606\pi\) | ||||
0.544798 | + | 0.838568i | \(0.316606\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −13.6180 | −0.899905 | −0.449953 | − | 0.893052i | \(-0.648559\pi\) | ||||
−0.449953 | + | 0.893052i | \(0.648559\pi\) | |||||||
\(230\) | 4.89346 | − | 27.7522i | 0.322666 | − | 1.82993i | ||||
\(231\) | −1.42032 | − | 1.19179i | −0.0934505 | − | 0.0784143i | ||||
\(232\) | −7.60227 | − | 2.76700i | −0.499114 | − | 0.181663i | ||||
\(233\) | −4.25480 | + | 1.54862i | −0.278741 | + | 0.101454i | −0.477608 | − | 0.878573i | \(-0.658496\pi\) |
0.198867 | + | 0.980027i | \(0.436274\pi\) | |||||||
\(234\) | 3.53762 | − | 2.96842i | 0.231261 | − | 0.194051i | ||||
\(235\) | −4.85410 | − | 8.40755i | −0.316647 | − | 0.548448i | ||||
\(236\) | −0.100813 | + | 0.174613i | −0.00656237 | + | 0.0113664i | ||||
\(237\) | 0.889879 | + | 5.04676i | 0.0578039 | + | 0.327822i | ||||
\(238\) | 0.643923 | + | 3.65187i | 0.0417393 | + | 0.236715i | ||||
\(239\) | 0.163119 | − | 0.282530i | 0.0105513 | − | 0.0182754i | −0.860702 | − | 0.509110i | \(-0.829975\pi\) |
0.871253 | + | 0.490834i | \(0.163308\pi\) | |||||||
\(240\) | 3.00000 | + | 5.19615i | 0.193649 | + | 0.335410i | ||||
\(241\) | 2.43628 | − | 2.04428i | 0.156935 | − | 0.131684i | −0.560939 | − | 0.827857i | \(-0.689560\pi\) |
0.717874 | + | 0.696173i | \(0.245115\pi\) | |||||||
\(242\) | 12.7444 | − | 4.63858i | 0.819241 | − | 0.298179i | ||||
\(243\) | −9.07036 | − | 3.30134i | −0.581864 | − | 0.211781i | ||||
\(244\) | −4.84618 | − | 4.06643i | −0.310245 | − | 0.260326i | ||||
\(245\) | 1.12387 | − | 6.37381i | 0.0718017 | − | 0.407208i | ||||
\(246\) | −1.85410 | −0.118213 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | 19.7984 | 1.25720 | ||||||||
\(249\) | 0.561937 | − | 3.18690i | 0.0356113 | − | 0.201962i | ||||
\(250\) | 1.89377 | + | 1.58906i | 0.119772 | + | 0.100501i | ||||
\(251\) | 23.8312 | + | 8.67386i | 1.50421 | + | 0.547489i | 0.957148 | − | 0.289600i | \(-0.0935221\pi\) |
0.547067 | + | 0.837089i | \(0.315744\pi\) | |||||||
\(252\) | 4.97266 | − | 1.80990i | 0.313248 | − | 0.114013i | ||||
\(253\) | −6.67087 | + | 5.59753i | −0.419394 | + | 0.351913i | ||||
\(254\) | −4.66312 | − | 8.07676i | −0.292590 | − | 0.506781i | ||||
\(255\) | −0.472136 | + | 0.817763i | −0.0295663 | + | 0.0512103i | ||||
\(256\) | 2.35507 | + | 13.3563i | 0.147192 | + | 0.834766i | ||||
\(257\) | 3.53559 | + | 20.0514i | 0.220544 | + | 1.25077i | 0.871022 | + | 0.491244i | \(0.163458\pi\) |
−0.650478 | + | 0.759525i | \(0.725431\pi\) | |||||||
\(258\) | 0.0450850 | − | 0.0780895i | 0.00280687 | − | 0.00486164i | ||||
\(259\) | −13.2812 | − | 23.0036i | −0.825251 | − | 1.42938i | ||||
\(260\) | −1.53209 | + | 1.28558i | −0.0950161 | + | 0.0797280i | ||||
\(261\) | −9.70349 | + | 3.53178i | −0.600631 | + | 0.218612i | ||||
\(262\) | −22.9439 | − | 8.35090i | −1.41748 | − | 0.515921i | ||||
\(263\) | −11.4480 | − | 9.60599i | −0.705912 | − | 0.592331i | 0.217536 | − | 0.976052i | \(-0.430198\pi\) |
−0.923449 | + | 0.383721i | \(0.874642\pi\) | |||||||
\(264\) | 0.239976 | − | 1.36097i | 0.0147695 | − | 0.0837620i | ||||
\(265\) | −20.4721 | −1.25759 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −2.96556 | −0.181489 | ||||||||
\(268\) | −0.751243 | + | 4.26051i | −0.0458895 | + | 0.260252i | ||||
\(269\) | 23.2312 | + | 19.4933i | 1.41643 | + | 1.18853i | 0.953218 | + | 0.302284i | \(0.0977491\pi\) |
0.463216 | + | 0.886245i | \(0.346695\pi\) | |||||||
\(270\) | 11.0021 | + | 4.00444i | 0.669567 | + | 0.243703i | ||||
\(271\) | −1.07679 | + | 0.391920i | −0.0654105 | + | 0.0238075i | −0.374518 | − | 0.927220i | \(-0.622192\pi\) |
0.309108 | + | 0.951027i | \(0.399970\pi\) | |||||||
\(272\) | −2.84065 | + | 2.38359i | −0.172240 | + | 0.144526i | ||||
\(273\) | 0.572949 | + | 0.992377i | 0.0346765 | + | 0.0600614i | ||||
\(274\) | −6.04508 | + | 10.4704i | −0.365197 | + | 0.632540i | ||||
\(275\) | −1.53750 | − | 8.71959i | −0.0927147 | − | 0.525811i | ||||
\(276\) | 0.220622 | + | 1.25121i | 0.0132799 | + | 0.0753139i | ||||
\(277\) | −5.70820 | + | 9.88690i | −0.342973 | + | 0.594046i | −0.984983 | − | 0.172650i | \(-0.944767\pi\) |
0.642011 | + | 0.766696i | \(0.278101\pi\) | |||||||
\(278\) | −11.9721 | − | 20.7363i | −0.718041 | − | 1.24368i | ||||
\(279\) | 19.3583 | − | 16.2436i | 1.15895 | − | 0.972477i | ||||
\(280\) | 20.3990 | − | 7.42464i | 1.21908 | − | 0.443707i | ||||
\(281\) | 27.7271 | + | 10.0918i | 1.65406 | + | 0.602029i | 0.989413 | − | 0.145128i | \(-0.0463593\pi\) |
0.664648 | + | 0.747157i | \(0.268582\pi\) | |||||||
\(282\) | 1.42032 | + | 1.19179i | 0.0845791 | + | 0.0709703i | ||||
\(283\) | 4.52083 | − | 25.6389i | 0.268736 | − | 1.52408i | −0.489447 | − | 0.872033i | \(-0.662801\pi\) |
0.758182 | − | 0.652042i | \(-0.226088\pi\) | |||||||
\(284\) | −4.61803 | −0.274030 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 2.61803 | 0.154808 | ||||||||
\(287\) | −1.56283 | + | 8.86327i | −0.0922512 | + | 0.523182i | ||||
\(288\) | 7.39423 | + | 6.20449i | 0.435709 | + | 0.365603i | ||||
\(289\) | 15.4264 | + | 5.61474i | 0.907434 | + | 0.330279i | ||||
\(290\) | 17.8018 | − | 6.47932i | 1.04536 | − | 0.380479i | ||||
\(291\) | 4.05375 | − | 3.40150i | 0.237635 | − | 0.199400i | ||||
\(292\) | 0.836881 | + | 1.44952i | 0.0489748 | + | 0.0848268i | ||||
\(293\) | 5.07295 | − | 8.78661i | 0.296365 | − | 0.513319i | −0.678937 | − | 0.734197i | \(-0.737559\pi\) |
0.975301 | + | 0.220878i | \(0.0708922\pi\) | |||||||
\(294\) | 0.214641 | + | 1.21729i | 0.0125181 | + | 0.0709938i | ||||
\(295\) | 0.183325 | + | 1.03969i | 0.0106736 | + | 0.0605330i | ||||
\(296\) | 9.89919 | − | 17.1459i | 0.575379 | − | 0.996585i | ||||
\(297\) | −1.80902 | − | 3.13331i | −0.104970 | − | 0.181813i | ||||
\(298\) | −2.36721 | + | 1.98632i | −0.137129 | + | 0.115065i | ||||
\(299\) | 5.05739 | − | 1.84074i | 0.292477 | − | 0.106453i | ||||
\(300\) | −1.21389 | − | 0.441820i | −0.0700840 | − | 0.0255085i | ||||
\(301\) | −0.335293 | − | 0.281344i | −0.0193260 | − | 0.0162164i | ||||
\(302\) | −5.92568 | + | 33.6062i | −0.340984 | + | 1.93382i | ||||
\(303\) | −3.50658 | −0.201448 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −33.1246 | −1.89671 | ||||||||
\(306\) | −0.612607 | + | 3.47427i | −0.0350204 | + | 0.198611i | ||||
\(307\) | −13.2727 | − | 11.1371i | −0.757511 | − | 0.635627i | 0.179966 | − | 0.983673i | \(-0.442401\pi\) |
−0.937478 | + | 0.348045i | \(0.886846\pi\) | |||||||
\(308\) | 2.81908 | + | 1.02606i | 0.160632 | + | 0.0584652i | ||||
\(309\) | −5.14213 | + | 1.87158i | −0.292525 | + | 0.106471i | ||||
\(310\) | −35.5143 | + | 29.8001i | −2.01708 | + | 1.69253i | ||||
\(311\) | −6.32624 | − | 10.9574i | −0.358728 | − | 0.621335i | 0.629021 | − | 0.777389i | \(-0.283456\pi\) |
−0.987749 | + | 0.156053i | \(0.950123\pi\) | |||||||
\(312\) | −0.427051 | + | 0.739674i | −0.0241770 | + | 0.0418758i | ||||
\(313\) | −1.96678 | − | 11.1542i | −0.111169 | − | 0.630471i | −0.988576 | − | 0.150724i | \(-0.951840\pi\) |
0.877407 | − | 0.479747i | \(-0.159272\pi\) | |||||||
\(314\) | −5.01644 | − | 28.4497i | −0.283094 | − | 1.60551i | ||||
\(315\) | 13.8541 | − | 23.9960i | 0.780590 | − | 1.35202i | ||||
\(316\) | −4.14590 | − | 7.18091i | −0.233225 | − | 0.403958i | ||||
\(317\) | 13.7888 | − | 11.5702i | 0.774456 | − | 0.649846i | −0.167390 | − | 0.985891i | \(-0.553534\pi\) |
0.941846 | + | 0.336045i | \(0.109089\pi\) | |||||||
\(318\) | 3.67404 | − | 1.33724i | 0.206030 | − | 0.0749887i | ||||
\(319\) | −5.50106 | − | 2.00222i | −0.308000 | − | 0.112103i | ||||
\(320\) | 10.5011 | + | 8.81146i | 0.587029 | + | 0.492576i | ||||
\(321\) | 1.08886 | − | 6.17525i | 0.0607744 | − | 0.344669i | ||||
\(322\) | 26.1246 | 1.45587 | ||||||||
\(323\) | 0 | 0 | ||||||||
\(324\) | 4.76393 | 0.264663 | ||||||||
\(325\) | −0.950226 | + | 5.38900i | −0.0527091 | + | 0.298928i | ||||
\(326\) | 2.18637 | + | 1.83458i | 0.121092 | + | 0.101608i | ||||
\(327\) | 1.18153 | + | 0.430040i | 0.0653386 | + | 0.0237813i | ||||
\(328\) | −6.30365 | + | 2.29434i | −0.348061 | + | 0.126684i | ||||
\(329\) | 6.89440 | − | 5.78509i | 0.380101 | − | 0.318942i | ||||
\(330\) | 1.61803 | + | 2.80252i | 0.0890698 | + | 0.154273i | ||||
\(331\) | −5.47214 | + | 9.47802i | −0.300776 | + | 0.520959i | −0.976312 | − | 0.216368i | \(-0.930579\pi\) |
0.675536 | + | 0.737327i | \(0.263912\pi\) | |||||||
\(332\) | 0.909234 | + | 5.15652i | 0.0499007 | + | 0.283001i | ||||
\(333\) | −4.38818 | − | 24.8866i | −0.240471 | − | 1.36378i | ||||
\(334\) | −16.3713 | + | 28.3560i | −0.895799 | + | 1.55157i | ||||
\(335\) | 11.3262 | + | 19.6176i | 0.618818 | + | 1.07183i | ||||
\(336\) | −4.26097 | + | 3.57538i | −0.232455 | + | 0.195053i | ||||
\(337\) | 16.0919 | − | 5.85696i | 0.876580 | − | 0.319049i | 0.135751 | − | 0.990743i | \(-0.456655\pi\) |
0.740829 | + | 0.671694i | \(0.234433\pi\) | |||||||
\(338\) | 18.2455 | + | 6.64080i | 0.992422 | + | 0.361212i | ||||
\(339\) | 1.97915 | + | 1.66070i | 0.107492 | + | 0.0901969i | ||||
\(340\) | 0.265311 | − | 1.50465i | 0.0143885 | − | 0.0816012i | ||||
\(341\) | 14.3262 | 0.775809 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −15.0000 | −0.809924 | ||||||||
\(344\) | 0.0566506 | − | 0.321282i | 0.00305440 | − | 0.0173223i | ||||
\(345\) | 5.09609 | + | 4.27613i | 0.274364 | + | 0.230219i | ||||
\(346\) | 0.717861 | + | 0.261280i | 0.0385925 | + | 0.0140465i | ||||
\(347\) | 23.8836 | − | 8.69292i | 1.28214 | − | 0.466661i | 0.391000 | − | 0.920391i | \(-0.372129\pi\) |
0.891139 | + | 0.453730i | \(0.149907\pi\) | |||||||
\(348\) | −0.654280 | + | 0.549006i | −0.0350731 | + | 0.0294298i | ||||
\(349\) | 10.4894 | + | 18.1681i | 0.561482 | + | 0.972516i | 0.997367 | + | 0.0725137i | \(0.0231021\pi\) |
−0.435885 | + | 0.900002i | \(0.643565\pi\) | |||||||
\(350\) | −13.2812 | + | 23.0036i | −0.709907 | + | 1.22960i | ||||
\(351\) | 0.388289 | + | 2.20210i | 0.0207253 | + | 0.117539i | ||||
\(352\) | 0.950226 | + | 5.38900i | 0.0506472 | + | 0.287235i | ||||
\(353\) | −12.2254 | + | 21.1751i | −0.650694 | + | 1.12703i | 0.332261 | + | 0.943187i | \(0.392188\pi\) |
−0.982955 | + | 0.183847i | \(0.941145\pi\) | |||||||
\(354\) | −0.100813 | − | 0.174613i | −0.00535815 | − | 0.00928059i | ||||
\(355\) | −18.5232 | + | 15.5428i | −0.983110 | + | 0.824927i | ||||
\(356\) | 4.50900 | − | 1.64114i | 0.238976 | − | 0.0869803i | ||||
\(357\) | −0.822596 | − | 0.299400i | −0.0435364 | − | 0.0158459i | ||||
\(358\) | 15.1664 | + | 12.7261i | 0.801571 | + | 0.672598i | ||||
\(359\) | 1.22152 | − | 6.92757i | 0.0644693 | − | 0.365623i | −0.935457 | − | 0.353442i | \(-0.885011\pi\) |
0.999926 | − | 0.0121816i | \(-0.00387762\pi\) | |||||||
\(360\) | 20.6525 | 1.08848 | ||||||||
\(361\) | 0 | 0 | ||||||||
\(362\) | 19.4164 | 1.02050 | ||||||||
\(363\) | −0.555957 | + | 3.15299i | −0.0291802 | + | 0.165489i | ||||
\(364\) | −1.42032 | − | 1.19179i | −0.0744452 | − | 0.0624670i | ||||
\(365\) | 8.23540 | + | 2.99744i | 0.431061 | + | 0.156893i | ||||
\(366\) | 5.94472 | − | 2.16370i | 0.310735 | − | 0.113098i | ||||
\(367\) | −12.2140 | + | 10.2488i | −0.637567 | + | 0.534982i | −0.903270 | − | 0.429073i | \(-0.858840\pi\) |
0.265703 | + | 0.964055i | \(0.414396\pi\) | |||||||
\(368\) | 13.0623 | + | 22.6246i | 0.680920 | + | 1.17939i | ||||
\(369\) | −4.28115 | + | 7.41517i | −0.222868 | + | 0.386019i | ||||
\(370\) | 8.05045 | + | 45.6564i | 0.418523 | + | 2.37356i | ||||
\(371\) | −3.29562 | − | 18.6904i | −0.171100 | − | 0.970356i | ||||
\(372\) | 1.04508 | − | 1.81014i | 0.0541851 | − | 0.0938514i | ||||
\(373\) | 2.73607 | + | 4.73901i | 0.141668 | + | 0.245377i | 0.928125 | − | 0.372269i | \(-0.121420\pi\) |
−0.786457 | + | 0.617645i | \(0.788087\pi\) | |||||||
\(374\) | −1.53209 | + | 1.28558i | −0.0792224 | + | 0.0664755i | ||||
\(375\) | −0.548397 | + | 0.199600i | −0.0283191 | + | 0.0103073i | ||||
\(376\) | 6.30365 | + | 2.29434i | 0.325086 | + | 0.118322i | ||||
\(377\) | 2.77157 | + | 2.32563i | 0.142743 | + | 0.119776i | ||||
\(378\) | −1.88480 | + | 10.6892i | −0.0969434 | + | 0.549793i | ||||
\(379\) | −15.1246 | −0.776899 | −0.388450 | − | 0.921470i | \(-0.626989\pi\) | ||||
−0.388450 | + | 0.921470i | \(0.626989\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 2.20163 | 0.112793 | ||||||||
\(382\) | 3.99989 | − | 22.6845i | 0.204652 | − | 1.16064i | ||||
\(383\) | 0.292603 | + | 0.245523i | 0.0149513 | + | 0.0125456i | 0.650233 | − | 0.759735i | \(-0.274671\pi\) |
−0.635281 | + | 0.772281i | \(0.719116\pi\) | |||||||
\(384\) | −4.88793 | − | 1.77906i | −0.249436 | − | 0.0907873i | ||||
\(385\) | 14.7609 | − | 5.37252i | 0.752284 | − | 0.273809i | ||||
\(386\) | 6.26650 | − | 5.25822i | 0.318957 | − | 0.267636i | ||||
\(387\) | −0.208204 | − | 0.360620i | −0.0105836 | − | 0.0183313i | ||||
\(388\) | −4.28115 | + | 7.41517i | −0.217343 | + | 0.376448i | ||||
\(389\) | 1.60981 | + | 9.12967i | 0.0816205 | + | 0.462893i | 0.998035 | + | 0.0626618i | \(0.0199589\pi\) |
−0.916414 | + | 0.400231i | \(0.868930\pi\) | |||||||
\(390\) | −0.347296 | − | 1.96962i | −0.0175860 | − | 0.0997354i | ||||
\(391\) | −2.05573 | + | 3.56063i | −0.103963 | + | 0.180069i | ||||
\(392\) | 2.23607 | + | 3.87298i | 0.112938 | + | 0.195615i | ||||
\(393\) | 4.41543 | − | 3.70498i | 0.222729 | − | 0.186892i | ||||
\(394\) | −4.56136 | + | 1.66020i | −0.229798 | + | 0.0836397i | ||||
\(395\) | −40.7981 | − | 14.8493i | −2.05277 | − | 0.747149i | ||||
\(396\) | 2.18637 | + | 1.83458i | 0.109869 | + | 0.0921912i | ||||
\(397\) | −1.99212 | + | 11.2978i | −0.0999814 | + | 0.567023i | 0.893125 | + | 0.449808i | \(0.148508\pi\) |
−0.993107 | + | 0.117215i | \(0.962603\pi\) | |||||||
\(398\) | −21.7082 | −1.08813 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −26.5623 | −1.32812 | ||||||||
\(401\) | −6.23198 | + | 35.3433i | −0.311210 | + | 1.76496i | 0.281516 | + | 0.959557i | \(0.409163\pi\) |
−0.592726 | + | 0.805404i | \(0.701948\pi\) | |||||||
\(402\) | −3.31409 | − | 2.78085i | −0.165292 | − | 0.138696i | ||||
\(403\) | −8.32013 | − | 3.02828i | −0.414455 | − | 0.150849i | ||||
\(404\) | 5.33159 | − | 1.94054i | 0.265257 | − | 0.0965455i | ||||
\(405\) | 19.1084 | − | 16.0339i | 0.949505 | − | 0.796729i | ||||
\(406\) | 8.78115 | + | 15.2094i | 0.435801 | + | 0.754830i | ||||
\(407\) | 7.16312 | − | 12.4069i | 0.355063 | − | 0.614987i | ||||
\(408\) | −0.113301 | − | 0.642563i | −0.00560925 | − | 0.0318116i | ||||
\(409\) | −1.43986 | − | 8.16583i | −0.0711963 | − | 0.403774i | −0.999490 | − | 0.0319269i | \(-0.989836\pi\) |
0.928294 | − | 0.371847i | \(-0.121275\pi\) | |||||||
\(410\) | 7.85410 | − | 13.6037i | 0.387886 | − | 0.671839i | ||||
\(411\) | −1.42705 | − | 2.47172i | −0.0703912 | − | 0.121921i | ||||
\(412\) | 6.78264 | − | 5.69131i | 0.334156 | − | 0.280391i | ||||
\(413\) | −0.919690 | + | 0.334740i | −0.0452550 | + | 0.0164715i | ||||
\(414\) | 23.3552 | + | 8.50060i | 1.14785 | + | 0.417782i | ||||
\(415\) | 21.0022 | + | 17.6229i | 1.03096 | + | 0.865075i | ||||
\(416\) | 0.587272 | − | 3.33059i | 0.0287934 | − | 0.163295i | ||||
\(417\) | 5.65248 | 0.276803 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −8.94427 | −0.436956 | −0.218478 | − | 0.975842i | \(-0.570109\pi\) | ||||
−0.218478 | + | 0.975842i | \(0.570109\pi\) | |||||||
\(420\) | 0.397966 | − | 2.25698i | 0.0194188 | − | 0.110129i | ||||
\(421\) | −21.0449 | − | 17.6587i | −1.02566 | − | 0.860635i | −0.0353358 | − | 0.999375i | \(-0.511250\pi\) |
−0.990329 | + | 0.138741i | \(0.955695\pi\) | |||||||
\(422\) | 5.85999 | + | 2.13286i | 0.285260 | + | 0.103826i | ||||
\(423\) | 8.04594 | − | 2.92848i | 0.391207 | − | 0.142388i | ||||
\(424\) | 10.8364 | − | 9.09281i | 0.526261 | − | 0.441586i | ||||
\(425\) | −2.09017 | − | 3.62028i | −0.101388 | − | 0.175609i | ||||
\(426\) | 2.30902 | − | 3.99933i | 0.111872 | − | 0.193768i | ||||
\(427\) | −5.33242 | − | 30.2417i | −0.258054 | − | 1.46350i | ||||
\(428\) | 1.76182 | + | 9.99176i | 0.0851606 | + | 0.482970i | ||||
\(429\) | −0.309017 | + | 0.535233i | −0.0149195 | + | 0.0258413i | ||||
\(430\) | 0.381966 | + | 0.661585i | 0.0184200 | + | 0.0319044i | ||||
\(431\) | 21.1830 | − | 17.7747i | 1.02035 | − | 0.856176i | 0.0306789 | − | 0.999529i | \(-0.490233\pi\) |
0.989672 | + | 0.143354i | \(0.0457886\pi\) | |||||||
\(432\) | −10.1995 | + | 3.71232i | −0.490725 | + | 0.178609i | ||||
\(433\) | 3.23038 | + | 1.17576i | 0.155242 | + | 0.0565034i | 0.418472 | − | 0.908230i | \(-0.362566\pi\) |
−0.263230 | + | 0.964733i | \(0.584788\pi\) | |||||||
\(434\) | −32.9236 | − | 27.6262i | −1.58038 | − | 1.32610i | ||||
\(435\) | −0.776578 | + | 4.40419i | −0.0372341 | + | 0.211165i | ||||
\(436\) | −2.03444 | −0.0974321 | ||||||||
\(437\) | 0 | 0 | ||||||||
\(438\) | −1.67376 | −0.0799754 | ||||||||
\(439\) | −6.00766 | + | 34.0711i | −0.286730 | + | 1.62613i | 0.412309 | + | 0.911044i | \(0.364722\pi\) |
−0.699039 | + | 0.715083i | \(0.746389\pi\) | |||||||
\(440\) | 8.96900 | + | 7.52589i | 0.427581 | + | 0.358783i | ||||
\(441\) | 5.36396 | + | 1.95232i | 0.255427 | + | 0.0929677i | ||||
\(442\) | 1.16152 | − | 0.422760i | 0.0552481 | − | 0.0201086i | ||||
\(443\) | −5.80937 | + | 4.87464i | −0.276011 | + | 0.231601i | −0.770276 | − | 0.637710i | \(-0.779882\pi\) |
0.494265 | + | 0.869311i | \(0.335437\pi\) | |||||||
\(444\) | −1.04508 | − | 1.81014i | −0.0495975 | − | 0.0859055i | ||||
\(445\) | 12.5623 | − | 21.7586i | 0.595510 | − | 1.03145i | ||||
\(446\) | −3.27398 | − | 18.5677i | −0.155027 | − | 0.879204i | ||||
\(447\) | −0.126675 | − | 0.718408i | −0.00599150 | − | 0.0339795i | ||||
\(448\) | −6.35410 | + | 11.0056i | −0.300203 | + | 0.519967i | ||||
\(449\) | −1.44427 | − | 2.50155i | −0.0681594 | − | 0.118056i | 0.829932 | − | 0.557865i | \(-0.188379\pi\) |
−0.898091 | + | 0.439809i | \(0.855046\pi\) | |||||||
\(450\) | −19.3583 | + | 16.2436i | −0.912561 | + | 0.765729i | ||||
\(451\) | −4.56136 | + | 1.66020i | −0.214786 | + | 0.0781758i | ||||
\(452\) | −3.92823 | − | 1.42976i | −0.184769 | − | 0.0672503i | ||||
\(453\) | −6.17105 | − | 5.17812i | −0.289941 | − | 0.243289i | ||||
\(454\) | 4.61250 | − | 26.1588i | 0.216475 | − | 1.22769i | ||||
\(455\) | −9.70820 | −0.455128 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 19.7082 | 0.921911 | 0.460955 | − | 0.887423i | \(-0.347507\pi\) | ||||
0.460955 | + | 0.887423i | \(0.347507\pi\) | |||||||
\(458\) | −3.82624 | + | 21.6997i | −0.178788 | + | 1.01396i | ||||
\(459\) | −1.30856 | − | 1.09801i | −0.0610784 | − | 0.0512508i | ||||
\(460\) | −10.1148 | − | 3.68148i | −0.471604 | − | 0.171650i | ||||
\(461\) | −19.6812 | + | 7.16336i | −0.916644 | + | 0.333631i | −0.756902 | − | 0.653528i | \(-0.773288\pi\) |
−0.159741 | + | 0.987159i | \(0.551066\pi\) | |||||||
\(462\) | −2.29813 | + | 1.92836i | −0.106919 | + | 0.0897156i | ||||
\(463\) | −14.1353 | − | 24.4830i | −0.656921 | − | 1.13782i | −0.981409 | − | 0.191931i | \(-0.938525\pi\) |
0.324487 | − | 0.945890i | \(-0.394808\pi\) | |||||||
\(464\) | −8.78115 | + | 15.2094i | −0.407655 | + | 0.706079i | ||||
\(465\) | −1.90045 | − | 10.7780i | −0.0881314 | − | 0.499818i | ||||
\(466\) | 1.27219 | + | 7.21494i | 0.0589330 | + | 0.334225i | ||||
\(467\) | 7.97214 | − | 13.8081i | 0.368906 | − | 0.638965i | −0.620488 | − | 0.784216i | \(-0.713066\pi\) |
0.989395 | + | 0.145251i | \(0.0463989\pi\) | |||||||
\(468\) | −0.881966 | − | 1.52761i | −0.0407689 | − | 0.0706138i | ||||
\(469\) | −16.0869 | + | 13.4985i | −0.742826 | + | 0.623305i | ||||
\(470\) | −14.7609 | + | 5.37252i | −0.680869 | + | 0.247816i | ||||
\(471\) | 6.40838 | + | 2.33246i | 0.295283 | + | 0.107474i | ||||
\(472\) | −0.558822 | − | 0.468907i | −0.0257219 | − | 0.0215832i | ||||
\(473\) | 0.0409928 | − | 0.232482i | 0.00188485 | − | 0.0106895i | ||||
\(474\) | 8.29180 | 0.380855 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 1.41641 | 0.0649209 | ||||||||
\(477\) | 3.13534 | − | 17.7814i | 0.143558 | − | 0.814155i | ||||
\(478\) | −0.404367 | − | 0.339304i | −0.0184953 | − | 0.0155194i | ||||
\(479\) | −21.6977 | − | 7.89730i | −0.991391 | − | 0.360837i | −0.205133 | − | 0.978734i | \(-0.565763\pi\) |
−0.786259 | + | 0.617897i | \(0.787985\pi\) | |||||||
\(480\) | 3.92823 | − | 1.42976i | 0.179299 | − | 0.0652593i | ||||
\(481\) | −6.78264 | + | 5.69131i | −0.309262 | + | 0.259501i | ||||
\(482\) | −2.57295 | − | 4.45648i | −0.117195 | − | 0.202987i | ||||
\(483\) | −3.08359 | + | 5.34094i | −0.140308 | + | 0.243021i | ||||
\(484\) | −0.899557 | − | 5.10164i | −0.0408889 | − | 0.231893i | ||||
\(485\) | 7.78514 | + | 44.1517i | 0.353505 | + | 2.00483i | ||||
\(486\) | −7.80902 | + | 13.5256i | −0.354224 | + | 0.613534i | ||||
\(487\) | −2.09017 | − | 3.62028i | −0.0947146 | − | 0.164051i | 0.814775 | − | 0.579778i | \(-0.196861\pi\) |
−0.909489 | + | 0.415727i | \(0.863527\pi\) | |||||||
\(488\) | 17.5336 | − | 14.7125i | 0.793711 | − | 0.666002i | ||||
\(489\) | −0.633129 | + | 0.230440i | −0.0286311 | + | 0.0104209i | ||||
\(490\) | −9.84059 | − | 3.58168i | −0.444552 | − | 0.161804i | ||||
\(491\) | −16.2515 | − | 13.6366i | −0.733418 | − | 0.615411i | 0.197643 | − | 0.980274i | \(-0.436671\pi\) |
−0.931061 | + | 0.364863i | \(0.881116\pi\) | |||||||
\(492\) | −0.122978 | + | 0.697445i | −0.00554429 | + | 0.0314432i | ||||
\(493\) | −2.76393 | −0.124481 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 14.9443 | 0.671695 | ||||||||
\(496\) | 7.46318 | − | 42.3258i | 0.335106 | − | 1.90048i | ||||
\(497\) | −17.1720 | − | 14.4090i | −0.770268 | − | 0.646331i | ||||
\(498\) | −4.92029 | − | 1.79084i | −0.220484 | − | 0.0802495i | ||||
\(499\) | −23.6094 | + | 8.59312i | −1.05690 | + | 0.384681i | −0.811264 | − | 0.584680i | \(-0.801220\pi\) |
−0.245639 | + | 0.969361i | \(0.578998\pi\) | |||||||
\(500\) | 0.723354 | − | 0.606966i | 0.0323494 | − | 0.0271444i | ||||
\(501\) | −3.86475 | − | 6.69393i | −0.172664 | − | 0.299063i | ||||
\(502\) | 20.5172 | − | 35.5369i | 0.915728 | − | 1.58609i | ||||
\(503\) | 6.22230 | + | 35.2884i | 0.277439 | + | 1.57343i | 0.731107 | + | 0.682263i | \(0.239004\pi\) |
−0.453668 | + | 0.891171i | \(0.649885\pi\) | |||||||
\(504\) | 3.32465 | + | 18.8550i | 0.148092 | + | 0.839870i | ||||
\(505\) | 14.8541 | − | 25.7281i | 0.660999 | − | 1.14488i | ||||
\(506\) | 7.04508 | + | 12.2024i | 0.313192 | + | 0.542465i | ||||
\(507\) | −3.51124 | + | 2.94628i | −0.155939 | + | 0.130849i | ||||
\(508\) | −3.34747 | + | 1.21838i | −0.148520 | + | 0.0540569i | ||||
\(509\) | −1.91175 | − | 0.695820i | −0.0847368 | − | 0.0308417i | 0.299304 | − | 0.954158i | \(-0.403246\pi\) |
−0.384041 | + | 0.923316i | \(0.625468\pi\) | |||||||
\(510\) | 1.17041 | + | 0.982092i | 0.0518267 | + | 0.0434878i | ||||
\(511\) | −1.41082 | + | 8.00118i | −0.0624112 | + | 0.353951i | ||||
\(512\) | −5.29180 | −0.233867 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 32.9443 | 1.45311 | ||||||||
\(515\) | 8.05045 | − | 45.6564i | 0.354745 | − | 2.01186i | ||||
\(516\) | −0.0263840 | − | 0.0221388i | −0.00116149 | − | 0.000974606i | ||||
\(517\) | 4.56136 | + | 1.66020i | 0.200609 | + | 0.0730155i | ||||
\(518\) | −40.3868 | + | 14.6996i | −1.77449 | + | 0.645863i | ||||
\(519\) | −0.138148 | + | 0.115920i | −0.00606404 | + | 0.00508833i | ||||
\(520\) | −3.61803 | − | 6.26662i | −0.158661 | − | 0.274809i | ||||
\(521\) | −3.13525 | + | 5.43042i | −0.137358 | + | 0.237911i | −0.926496 | − | 0.376305i | \(-0.877194\pi\) |
0.789138 | + | 0.614216i | \(0.210528\pi\) | |||||||
\(522\) | 2.90135 | + | 16.4544i | 0.126989 | + | 0.720188i | ||||
\(523\) | −0.766901 | − | 4.34931i | −0.0335342 | − | 0.190182i | 0.963439 | − | 0.267928i | \(-0.0863389\pi\) |
−0.996973 | + | 0.0777457i | \(0.975228\pi\) | |||||||
\(524\) | −4.66312 | + | 8.07676i | −0.203709 | + | 0.352835i | ||||
\(525\) | −3.13525 | − | 5.43042i | −0.136834 | − | 0.237003i | ||||
\(526\) | −18.5232 | + | 15.5428i | −0.807651 | + | 0.677699i | ||||
\(527\) | 6.35602 | − | 2.31340i | 0.276872 | − | 0.100773i | ||||
\(528\) | −2.81908 | − | 1.02606i | −0.122685 | − | 0.0446535i | ||||
\(529\) | 4.56988 | + | 3.83459i | 0.198691 | + | 0.166721i | ||||
\(530\) | −5.75203 | + | 32.6214i | −0.249852 | + | 1.41698i | ||||
\(531\) | −0.931116 | −0.0404070 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 3.00000 | 0.129944 | ||||||||
\(534\) | −0.833229 | + | 4.72548i | −0.0360573 | + | 0.204491i | ||||
\(535\) | 40.6958 | + | 34.1478i | 1.75943 | + | 1.47634i | ||||
\(536\) | −14.7085 | − | 5.35346i | −0.635311 | − | 0.231234i | ||||
\(537\) | −4.39190 | + | 1.59852i | −0.189524 | + | 0.0689813i | ||||
\(538\) | 37.5889 | − | 31.5409i | 1.62057 | − | 1.35982i | ||||
\(539\) | 1.61803 | + | 2.80252i | 0.0696937 | + | 0.120713i | ||||
\(540\) | 2.23607 | − | 3.87298i | 0.0962250 | − | 0.166667i | ||||
\(541\) | −5.18041 | − | 29.3796i | −0.222723 | − | 1.26313i | −0.866990 | − | 0.498326i | \(-0.833948\pi\) |
0.644266 | − | 0.764801i | \(-0.277163\pi\) | |||||||
\(542\) | 0.321961 | + | 1.82593i | 0.0138294 | + | 0.0784306i | ||||
\(543\) | −2.29180 | + | 3.96951i | −0.0983504 | + | 0.170348i | ||||
\(544\) | 1.29180 | + | 2.23746i | 0.0553853 | + | 0.0959302i | ||||
\(545\) | −8.16027 | + | 6.84728i | −0.349548 | + | 0.293305i | ||||
\(546\) | 1.74229 | − | 0.634140i | 0.0745630 | − | 0.0271387i | ||||
\(547\) | 25.2993 | + | 9.20820i | 1.08172 | + | 0.393714i | 0.820548 | − | 0.571578i | \(-0.193668\pi\) |
0.261173 | + | 0.965292i | \(0.415891\pi\) | |||||||
\(548\) | 3.53762 | + | 2.96842i | 0.151120 | + | 0.126804i | ||||
\(549\) | 5.07309 | − | 28.7709i | 0.216514 | − | 1.22791i | ||||
\(550\) | −14.3262 | −0.610873 | ||||||||
\(551\) | 0 | 0 | ||||||||
\(552\) | −4.59675 | −0.195651 | ||||||||
\(553\) | 6.98920 | − | 39.6377i | 0.297211 | − | 1.68557i | ||||
\(554\) | 14.1505 | + | 11.8737i | 0.601196 | + | 0.504463i | ||||
\(555\) | −10.2843 | − | 3.74316i | −0.436542 | − | 0.158888i | ||||
\(556\) | −8.59433 | + | 3.12808i | −0.364481 | + | 0.132660i | ||||
\(557\) | −0.627896 | + | 0.526867i | −0.0266048 | + | 0.0223241i | −0.655993 | − | 0.754767i | \(-0.727750\pi\) |
0.629388 | + | 0.777091i | \(0.283306\pi\) | |||||||
\(558\) | −20.4443 | − | 35.4105i | −0.865475 | − | 1.49905i | ||||
\(559\) | −0.0729490 | + | 0.126351i | −0.00308541 | + | 0.00534409i | ||||
\(560\) | −8.18310 | − | 46.4087i | −0.345799 | − | 1.96112i | ||||
\(561\) | −0.0819855 | − | 0.464963i | −0.00346143 | − | 0.0196308i | ||||
\(562\) | 23.8713 | − | 41.3463i | 1.00695 | − | 1.74409i | ||||
\(563\) | 16.4164 | + | 28.4341i | 0.691869 | + | 1.19835i | 0.971225 | + | 0.238165i | \(0.0765458\pi\) |
−0.279356 | + | 0.960188i | \(0.590121\pi\) | |||||||
\(564\) | 0.542516 | − | 0.455225i | 0.0228440 | − | 0.0191684i | ||||
\(565\) | −20.5685 | + | 7.48632i | −0.865323 | + | 0.314952i | ||||
\(566\) | −39.5842 | − | 14.4075i | −1.66385 | − | 0.605591i | ||||
\(567\) | 17.7145 | + | 14.8642i | 0.743938 | + | 0.624238i | ||||
\(568\) | 2.90135 | − | 16.4544i | 0.121738 | − | 0.690410i | ||||
\(569\) | 16.9098 | 0.708897 | 0.354448 | − | 0.935076i | \(-0.384669\pi\) | ||||
0.354448 | + | 0.935076i | \(0.384669\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 6.67376 | 0.279288 | 0.139644 | − | 0.990202i | \(-0.455404\pi\) | ||||
0.139644 | + | 0.990202i | \(0.455404\pi\) | |||||||
\(572\) | 0.173648 | − | 0.984808i | 0.00726060 | − | 0.0411769i | ||||
\(573\) | 4.16552 | + | 3.49528i | 0.174017 | + | 0.146018i | ||||
\(574\) | 13.6841 | + | 4.98060i | 0.571163 | + | 0.207886i | ||||
\(575\) | −27.6747 | + | 10.0728i | −1.15412 | + | 0.420064i | ||||
\(576\) | −9.26161 | + | 7.77141i | −0.385900 | + | 0.323809i | ||||
\(577\) | 6.06231 | + | 10.5002i | 0.252377 | + | 0.437130i | 0.964180 | − | 0.265250i | \(-0.0854543\pi\) |
−0.711803 | + | 0.702379i | \(0.752121\pi\) | |||||||
\(578\) | 13.2812 | − | 23.0036i | 0.552423 | − | 0.956825i | ||||
\(579\) | 0.335335 | + | 1.90178i | 0.0139360 | + | 0.0790352i | ||||
\(580\) | −1.25653 | − | 7.12614i | −0.0521746 | − | 0.295897i | ||||
\(581\) | −12.7082 | + | 22.0113i | −0.527225 | + | 0.913181i | ||||
\(582\) | −4.28115 | − | 7.41517i | −0.177459 | − | 0.307369i | ||||
\(583\) | 7.84128 | − | 6.57962i | 0.324753 | − | 0.272500i | ||||
\(584\) | −5.69052 | + | 2.07118i | −0.235476 | + | 0.0857061i | ||||
\(585\) | −8.67906 | − | 3.15892i | −0.358835 | − | 0.130605i | ||||
\(586\) | −12.5757 | − | 10.5523i | −0.519497 | − | 0.435910i | ||||
\(587\) | −0.368935 | + | 2.09233i | −0.0152276 | + | 0.0863599i | −0.991474 | − | 0.130301i | \(-0.958406\pi\) |
0.976247 | + | 0.216661i | \(0.0695167\pi\) | |||||||
\(588\) | 0.472136 | 0.0194706 | ||||||||
\(589\) | 0 | 0 | ||||||||
\(590\) | 1.70820 | 0.0703256 | ||||||||
\(591\) | 0.198983 | − | 1.12849i | 0.00818507 | − | 0.0464198i | ||||
\(592\) | −32.9236 | − | 27.6262i | −1.35315 | − | 1.13543i | ||||
\(593\) | −0.665494 | − | 0.242220i | −0.0273286 | − | 0.00994678i | 0.328320 | − | 0.944567i | \(-0.393518\pi\) |
−0.355648 | + | 0.934620i | \(0.615740\pi\) | |||||||
\(594\) | −5.50106 | + | 2.00222i | −0.225711 | + | 0.0821521i | ||||
\(595\) | 5.68130 | − | 4.76718i | 0.232911 | − | 0.195435i | ||||
\(596\) | 0.590170 | + | 1.02220i | 0.0241743 | + | 0.0418711i | ||||
\(597\) | 2.56231 | − | 4.43804i | 0.104868 | − | 0.181637i | ||||
\(598\) | −1.51216 | − | 8.57591i | −0.0618370 | − | 0.350695i | ||||
\(599\) | 4.93446 | + | 27.9847i | 0.201616 | + | 1.14342i | 0.902676 | + | 0.430321i | \(0.141600\pi\) |
−0.701059 | + | 0.713103i | \(0.747289\pi\) | |||||||
\(600\) | 2.33688 | − | 4.04760i | 0.0954028 | − | 0.165242i | ||||
\(601\) | −10.1459 | − | 17.5732i | −0.413860 | − | 0.716826i | 0.581448 | − | 0.813583i | \(-0.302486\pi\) |
−0.995308 | + | 0.0967572i | \(0.969153\pi\) | |||||||
\(602\) | −0.542516 | + | 0.455225i | −0.0221113 | + | 0.0185536i | ||||
\(603\) | −18.7738 | + | 6.83312i | −0.764530 | + | 0.278266i | ||||
\(604\) | 12.2484 | + | 4.45804i | 0.498379 | + | 0.181395i | ||||
\(605\) | −20.7787 | − | 17.4354i | −0.844773 | − | 0.708848i | ||||
\(606\) | −0.985238 | + | 5.58756i | −0.0400226 | + | 0.226979i | ||||
\(607\) | −6.27051 | −0.254512 | −0.127256 | − | 0.991870i | \(-0.540617\pi\) | ||||
−0.127256 | + | 0.991870i | \(0.540617\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −4.14590 | −0.168000 | ||||||||
\(610\) | −9.30698 | + | 52.7825i | −0.376829 | + | 2.13710i | ||||
\(611\) | −2.29813 | − | 1.92836i | −0.0929725 | − | 0.0780132i | ||||
\(612\) | 1.26626 | + | 0.460880i | 0.0511855 | + | 0.0186300i | ||||
\(613\) | 18.7415 | − | 6.82134i | 0.756961 | − | 0.275511i | 0.0654294 | − | 0.997857i | \(-0.479158\pi\) |
0.691532 | + | 0.722346i | \(0.256936\pi\) | |||||||
\(614\) | −21.4756 | + | 18.0202i | −0.866686 | + | 0.727236i | ||||
\(615\) | 1.85410 | + | 3.21140i | 0.0747646 | + | 0.129496i | ||||
\(616\) | −5.42705 | + | 9.39993i | −0.218662 | + | 0.378734i | ||||
\(617\) | 1.33253 | + | 7.55718i | 0.0536458 | + | 0.304241i | 0.999811 | − | 0.0194437i | \(-0.00618952\pi\) |
−0.946165 | + | 0.323684i | \(0.895078\pi\) | |||||||
\(618\) | 1.53750 | + | 8.71959i | 0.0618473 | + | 0.350753i | ||||
\(619\) | −5.06231 | + | 8.76817i | −0.203471 | + | 0.352423i | −0.949645 | − | 0.313329i | \(-0.898556\pi\) |
0.746173 | + | 0.665752i | \(0.231889\pi\) | |||||||
\(620\) | 8.85410 | + | 15.3358i | 0.355589 | + | 0.615899i | ||||
\(621\) | −9.21892 | + | 7.73559i | −0.369942 | + | 0.310419i | ||||
\(622\) | −19.2375 | + | 7.00188i | −0.771354 | + | 0.280750i | ||||
\(623\) | 21.8871 | + | 7.96626i | 0.876889 | + | 0.319162i | ||||
\(624\) | 1.42032 | + | 1.19179i | 0.0568585 | + | 0.0477099i | ||||
\(625\) | −3.89257 | + | 22.0759i | −0.155703 | + | 0.883034i | ||||
\(626\) | −18.3262 | −0.732464 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −11.0344 | −0.440322 | ||||||||
\(629\) | 1.17454 | − | 6.66117i | 0.0468322 | − | 0.265598i | ||||
\(630\) | −34.3439 | − | 28.8180i | −1.36829 | − | 1.14814i | ||||
\(631\) | −27.5900 | − | 10.0419i | −1.09834 | − | 0.399763i | −0.271637 | − | 0.962400i | \(-0.587565\pi\) |
−0.826704 | + | 0.562636i | \(0.809787\pi\) | |||||||
\(632\) | 28.1908 | − | 10.2606i | 1.12137 | − | 0.408145i | ||||
\(633\) | −1.12772 | + | 0.946271i | −0.0448229 | + | 0.0376109i | ||||
\(634\) | −14.5623 | − | 25.2227i | −0.578343 | − | 1.00172i | ||||
\(635\) | −9.32624 | + | 16.1535i | −0.370100 | + | 0.641033i | ||||
\(636\) | −0.259330 | − | 1.47073i | −0.0102831 | − | 0.0583184i | ||||
\(637\) | −0.347296 | − | 1.96962i | −0.0137604 | − | 0.0780390i | ||||
\(638\) | −4.73607 | + | 8.20311i | −0.187503 | + | 0.324764i | ||||
\(639\) | −10.6631 | − | 18.4691i | −0.421826 | − | 0.730625i | ||||
\(640\) | 33.7587 | − | 28.3269i | 1.33443 | − | 1.11972i | ||||
\(641\) | 37.1240 | − | 13.5120i | 1.46631 | − | 0.533694i | 0.519215 | − | 0.854644i | \(-0.326224\pi\) |
0.947096 | + | 0.320950i | \(0.104002\pi\) | |||||||
\(642\) | −9.53403 | − | 3.47010i | −0.376278 | − | 0.136954i | ||||
\(643\) | −18.6086 | − | 15.6145i | −0.733851 | − | 0.615774i | 0.197327 | − | 0.980338i | \(-0.436774\pi\) |
−0.931179 | + | 0.364563i | \(0.881218\pi\) | |||||||
\(644\) | 1.73279 | − | 9.82711i | 0.0682813 | − | 0.387243i | ||||
\(645\) | −0.180340 | −0.00710088 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 7.47214 | 0.293760 | 0.146880 | − | 0.989154i | \(-0.453077\pi\) | ||||
0.146880 | + | 0.989154i | \(0.453077\pi\) | |||||||
\(648\) | −2.99301 | + | 16.9742i | −0.117577 | + | 0.666810i | ||||
\(649\) | −0.404367 | − | 0.339304i | −0.0158728 | − | 0.0133189i | ||||
\(650\) | 8.32013 | + | 3.02828i | 0.326343 | + | 0.118779i | ||||
\(651\) | 9.53403 | − | 3.47010i | 0.373668 | − | 0.136004i | ||||
\(652\) | 0.835119 | − | 0.700748i | 0.0327058 | − | 0.0274434i | ||||
\(653\) | 11.7812 | + | 20.4056i | 0.461032 | + | 0.798531i | 0.999013 | − | 0.0444262i | \(-0.0141459\pi\) |
−0.537981 | + | 0.842957i | \(0.680813\pi\) | |||||||
\(654\) | 1.01722 | − | 1.76188i | 0.0397765 | − | 0.0688949i | ||||
\(655\) | 8.47973 | + | 48.0909i | 0.331330 | + | 1.87907i | ||||
\(656\) | 2.52872 | + | 14.3411i | 0.0987298 | + | 0.559925i | ||||
\(657\) | −3.86475 | + | 6.69393i | −0.150778 | + | 0.261155i | ||||
\(658\) | −7.28115 | − | 12.6113i | −0.283849 | − | 0.491641i | ||||
\(659\) | −19.7464 | + | 16.5692i | −0.769210 | + | 0.645444i | −0.940507 | − | 0.339775i | \(-0.889649\pi\) |
0.171296 | + | 0.985220i | \(0.445204\pi\) | |||||||
\(660\) | 1.16152 | − | 0.422760i | 0.0452123 | − | 0.0164559i | ||||
\(661\) | −5.08976 | − | 1.85252i | −0.197969 | − | 0.0720547i | 0.241133 | − | 0.970492i | \(-0.422481\pi\) |
−0.439102 | + | 0.898437i | \(0.644703\pi\) | |||||||
\(662\) | 13.5653 | + | 11.3826i | 0.527229 | + | 0.442398i | ||||
\(663\) | −0.0506699 | + | 0.287363i | −0.00196785 | + | 0.0111603i | ||||
\(664\) | −18.9443 | −0.735180 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −40.8885 | −1.58440 | ||||||||
\(667\) | −3.38130 | + | 19.1763i | −0.130924 | + | 0.742510i | ||||
\(668\) | 9.58059 | + | 8.03907i | 0.370684 | + | 0.311041i | ||||
\(669\) | 4.18243 | + | 1.52228i | 0.161702 | + | 0.0588548i | ||||
\(670\) | 34.4421 | − | 12.5359i | 1.33061 | − | 0.484303i | ||||
\(671\) | 12.6875 | − | 10.6460i | 0.489794 | − | 0.410986i | ||||
\(672\) | 1.93769 | + | 3.35618i | 0.0747482 | + | 0.129468i | ||||
\(673\) | −17.0623 | + | 29.5528i | −0.657704 | + | 1.13918i | 0.323505 | + | 0.946226i | \(0.395139\pi\) |
−0.981209 | + | 0.192950i | \(0.938195\pi\) | |||||||
\(674\) | −4.81148 | − | 27.2873i | −0.185331 | − | 1.05107i | ||||
\(675\) | −2.12477 | − | 12.0502i | −0.0817825 | − | 0.463811i | ||||
\(676\) | 3.70820 | − | 6.42280i | 0.142623 | − | 0.247031i | ||||
\(677\) | 15.3713 | + | 26.6239i | 0.590768 | + | 1.02324i | 0.994129 | + | 0.108199i | \(0.0345085\pi\) |
−0.403361 | + | 0.915041i | \(0.632158\pi\) | |||||||
\(678\) | 3.20233 | − | 2.68707i | 0.122985 | − | 0.103196i | ||||
\(679\) | −39.0558 | + | 14.2151i | −1.49882 | + | 0.545527i | ||||
\(680\) | 5.19449 | + | 1.89064i | 0.199200 | + | 0.0725028i | ||||
\(681\) | 4.80349 | + | 4.03061i | 0.184070 | + | 0.154453i | ||||
\(682\) | 4.02522 | − | 22.8282i | 0.154134 | − | 0.874136i | ||||
\(683\) | 9.65248 | 0.369342 | 0.184671 | − | 0.982800i | \(-0.440878\pi\) | ||||
0.184671 | + | 0.982800i | \(0.440878\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 24.1803 | 0.923883 | ||||||||
\(686\) | −4.21453 | + | 23.9018i | −0.160911 | + | 0.912574i | ||||
\(687\) | −3.98468 | − | 3.34354i | −0.152025 | − | 0.127564i | ||||
\(688\) | −0.665494 | − | 0.242220i | −0.0253717 | − | 0.00923455i | ||||
\(689\) | −5.94472 | + | 2.16370i | −0.226476 | + | 0.0824304i | ||||
\(690\) | 8.24565 | − | 6.91892i | 0.313907 | − | 0.263399i | ||||
\(691\) | 19.5902 | + | 33.9312i | 0.745245 | + | 1.29080i | 0.950080 | + | 0.312006i | \(0.101001\pi\) |
−0.204835 | + | 0.978797i | \(0.565666\pi\) | |||||||
\(692\) | 0.145898 | − | 0.252703i | 0.00554621 | − | 0.00960632i | ||||
\(693\) | 2.40574 | + | 13.6436i | 0.0913865 | + | 0.518279i | ||||
\(694\) | −7.14121 | − | 40.4998i | −0.271077 | − | 1.53735i | ||||
\(695\) | −23.9443 | + | 41.4727i | −0.908258 | + | 1.57315i | ||||
\(696\) | −1.54508 | − | 2.67617i | −0.0585663 | − | 0.101440i | ||||
\(697\) | −1.75562 | + | 1.47314i | −0.0664988 | + | 0.0557991i | ||||
\(698\) | 31.8972 | − | 11.6096i | 1.20733 | − | 0.439431i | ||||
\(699\) | −1.62519 | − | 0.591520i | −0.0614703 | − | 0.0223734i | ||||
\(700\) | 7.77221 | + | 6.52166i | 0.293762 | + | 0.246495i | ||||
\(701\) | −6.88188 | + | 39.0291i | −0.259925 | + | 1.47411i | 0.523181 | + | 0.852221i | \(0.324745\pi\) |
−0.783107 | + | 0.621888i | \(0.786366\pi\) | |||||||
\(702\) | 3.61803 | 0.136554 | ||||||||
\(703\) | 0 | 0 | ||||||||
\(704\) | −6.85410 | −0.258324 | ||||||||
\(705\) | 0.643923 | − | 3.65187i | 0.0242515 | − | 0.137537i | ||||
\(706\) | 30.3065 | + | 25.4302i | 1.14060 | + | 0.957077i | ||||
\(707\) | 25.8801 | + | 9.41958i | 0.973321 | + | 0.354260i | ||||
\(708\) | −0.0723698 | + | 0.0263405i | −0.00271982 | + | 0.000989935i | ||||
\(709\) | 12.7038 | − | 10.6597i | 0.477100 | − | 0.400334i | −0.372276 | − | 0.928122i | \(-0.621423\pi\) |
0.849377 | + | 0.527787i | \(0.176978\pi\) | |||||||
\(710\) | 19.5623 | + | 33.8829i | 0.734160 | + | 1.27160i | ||||
\(711\) | 19.1459 | − | 33.1617i | 0.718027 | − | 1.24366i | ||||
\(712\) | 3.01465 | + | 17.0969i | 0.112979 | + | 0.640735i | ||||
\(713\) | −8.27477 | − | 46.9285i | −0.309892 | − | 1.75749i | ||||
\(714\) | −0.708204 | + | 1.22665i | −0.0265039 | + | 0.0459060i | ||||
\(715\) | −2.61803 | − | 4.53457i | −0.0979089 | − | 0.169583i | ||||
\(716\) | 5.79306 | − | 4.86096i | 0.216497 | − | 0.181662i | ||||
\(717\) | 0.117097 | − | 0.0426197i | 0.00437306 | − | 0.00159166i | ||||
\(718\) | −10.6955 | − | 3.89286i | −0.399154 | − | 0.145280i | ||||
\(719\) | 36.0305 | + | 30.2332i | 1.34371 | + | 1.12751i | 0.980656 | + | 0.195738i | \(0.0627103\pi\) |
0.363054 | + | 0.931768i | \(0.381734\pi\) | |||||||
\(720\) | 7.78514 | − | 44.1517i | 0.290135 | − | 1.64544i | ||||
\(721\) | 42.9787 | 1.60061 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 1.21478 | 0.0451782 | ||||||||
\(724\) | 1.28785 | − | 7.30374i | 0.0478624 | − | 0.271441i | ||||
\(725\) | −15.1664 | − | 12.7261i | −0.563267 | − | 0.472637i | ||||
\(726\) | 4.86793 | + | 1.77178i | 0.180666 | + | 0.0657569i | ||||
\(727\) | 15.0998 | − | 5.49588i | 0.560021 | − | 0.203831i | −0.0464723 | − | 0.998920i | \(-0.514798\pi\) |
0.606493 | + | 0.795089i | \(0.292576\pi\) | |||||||
\(728\) | 5.13878 | − | 4.31195i | 0.190456 | − | 0.159812i | ||||
\(729\) | 9.71885 | + | 16.8335i | 0.359957 | + | 0.623464i | ||||
\(730\) | 7.09017 | − | 12.2805i | 0.262419 | − | 0.454523i | ||||
\(731\) | −0.0193542 | − | 0.109763i | −0.000715840 | − | 0.00405973i | ||||
\(732\) | −0.419605 | − | 2.37970i | −0.0155090 | − | 0.0879561i | ||||
\(733\) | 26.4787 | − | 45.8625i | 0.978014 | − | 1.69397i | 0.308405 | − | 0.951255i | \(-0.400205\pi\) |
0.669609 | − | 0.742714i | \(-0.266462\pi\) | |||||||
\(734\) | 12.8992 | + | 22.3420i | 0.476118 | + | 0.824660i | ||||
\(735\) | 1.89377 | − | 1.58906i | 0.0698526 | − | 0.0586133i | ||||
\(736\) | 17.1039 | − | 6.22532i | 0.630459 | − | 0.229468i | ||||
\(737\) | −10.6432 | − | 3.87380i | −0.392047 | − | 0.142693i | ||||
\(738\) | 10.6129 | + | 8.90525i | 0.390665 | + | 0.327807i | ||||
\(739\) | −4.34120 | + | 24.6202i | −0.159694 | + | 0.905668i | 0.794674 | + | 0.607036i | \(0.207642\pi\) |
−0.954368 | + | 0.298633i | \(0.903470\pi\) | |||||||
\(740\) | 17.7082 | 0.650967 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −30.7082 | −1.12733 | ||||||||
\(743\) | −0.583576 | + | 3.30962i | −0.0214093 | + | 0.121418i | −0.993639 | − | 0.112609i | \(-0.964079\pi\) |
0.972230 | + | 0.234027i | \(0.0751904\pi\) | |||||||
\(744\) | 5.79306 | + | 4.86096i | 0.212384 | + | 0.178211i | ||||
\(745\) | 5.80762 | + | 2.11380i | 0.212775 | + | 0.0774437i | ||||
\(746\) | 8.32013 | − | 3.02828i | 0.304622 | − | 0.110873i | ||||
\(747\) | −18.5232 | + | 15.5428i | −0.677729 | + | 0.568682i | ||||
\(748\) | 0.381966 | + | 0.661585i | 0.0139661 | + | 0.0241899i | ||||
\(749\) | −24.6246 | + | 42.6511i | −0.899764 | + | 1.55844i | ||||
\(750\) | 0.163971 | + | 0.929926i | 0.00598738 | + | 0.0339561i | ||||
\(751\) | −2.97735 | − | 16.8854i | −0.108645 | − | 0.616157i | −0.989702 | − | 0.143146i | \(-0.954278\pi\) |
0.881056 | − | 0.473011i | \(-0.156833\pi\) | |||||||
\(752\) | 7.28115 | − | 12.6113i | 0.265516 | − | 0.459888i | ||||
\(753\) | 4.84346 | + | 8.38912i | 0.176505 | + | 0.305716i | ||||
\(754\) | 4.48450 | − | 3.76294i | 0.163316 | − | 0.137038i | ||||
\(755\) | 64.1333 | − | 23.3426i | 2.33405 | − | 0.849525i | ||||
\(756\) | 3.89587 | + | 1.41798i | 0.141691 | + | 0.0515715i | ||||
\(757\) | 20.4861 | + | 17.1898i | 0.744578 | + | 0.624775i | 0.934063 | − | 0.357108i | \(-0.116237\pi\) |
−0.189485 | + | 0.981884i | \(0.560682\pi\) | |||||||
\(758\) | −4.24954 | + | 24.1003i | −0.154350 | + | 0.875364i | ||||
\(759\) | −3.32624 | −0.120735 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 4.88854 | 0.177210 | 0.0886048 | − | 0.996067i | \(-0.471759\pi\) | ||||
0.0886048 | + | 0.996067i | \(0.471759\pi\) | |||||||
\(762\) | 0.618588 | − | 3.50819i | 0.0224091 | − | 0.127088i | ||||
\(763\) | −7.56499 | − | 6.34778i | −0.273871 | − | 0.229805i | ||||
\(764\) | −8.26777 | − | 3.00922i | −0.299117 | − | 0.108870i | ||||
\(765\) | 6.63022 | − | 2.41320i | 0.239716 | − | 0.0872495i | ||||
\(766\) | 0.473442 | − | 0.397265i | 0.0171061 | − | 0.0143538i | ||||
\(767\) | 0.163119 | + | 0.282530i | 0.00588988 | + | 0.0102016i | ||||
\(768\) | −2.59017 | + | 4.48631i | −0.0934647 | + | 0.161886i | ||||
\(769\) | 6.36094 | + | 36.0747i | 0.229381 | + | 1.30089i | 0.854130 | + | 0.520060i | \(0.174090\pi\) |
−0.624748 | + | 0.780826i | \(0.714798\pi\) | |||||||
\(770\) | −4.41351 | − | 25.0303i | −0.159052 | − | 0.902029i | ||||
\(771\) | −3.88854 | + | 6.73516i | −0.140042 | + | 0.242561i | ||||
\(772\) | −1.56231 | − | 2.70599i | −0.0562286 | − | 0.0973908i | ||||
\(773\) | −27.5186 | + | 23.0909i | −0.989775 | + | 0.830520i | −0.985535 | − | 0.169471i | \(-0.945794\pi\) |
−0.00424018 | + | 0.999991i | \(0.501350\pi\) | |||||||
\(774\) | −0.633129 | + | 0.230440i | −0.0227574 | + | 0.00828300i | ||||
\(775\) | 45.5289 | + | 16.5712i | 1.63545 | + | 0.595254i | ||||
\(776\) | −23.7311 | − | 19.9127i | −0.851896 | − | 0.714825i | ||||
\(777\) | 1.76182 | − | 9.99176i | 0.0632048 | − | 0.358452i | ||||
\(778\) | 15.0000 | 0.537776 | ||||||||
\(779\) | 0 | 0 | ||||||||
\(780\) | −0.763932 | −0.0273532 | ||||||||
\(781\) | 2.09944 | − | 11.9065i | 0.0751237 | − | 0.426048i | ||||
\(782\) | 5.09609 | + | 4.27613i | 0.182236 | + | 0.152914i | ||||
\(783\) | −7.60227 | − | 2.76700i | −0.271683 | − | 0.0988846i | ||||
\(784\) | 9.12273 | − | 3.32040i | 0.325812 | − | 0.118586i | ||||
\(785\) | −44.2598 | + | 37.1384i | −1.57970 | + | 1.32553i | ||||
\(786\) | −4.66312 | − | 8.07676i | −0.166328 | − | 0.288088i | ||||
\(787\) | −19.0000 | + | 32.9090i | −0.677277 | + | 1.17308i | 0.298521 | + | 0.954403i | \(0.403507\pi\) |
−0.975798 | + | 0.218675i | \(0.929827\pi\) | |||||||
\(788\) | 0.321961 | + | 1.82593i | 0.0114694 | + | 0.0650462i | ||||
\(789\) | −0.991219 | − | 5.62148i | −0.0352883 | − | 0.200130i | ||||
\(790\) | −35.1246 | + | 60.8376i | −1.24968 | + | 2.16451i | ||||
\(791\) | −10.1459 | − | 17.5732i | −0.360747 | − | 0.624831i | ||||
\(792\) | −7.91036 | + | 6.63758i | −0.281082 | + | 0.235856i | ||||
\(793\) | −9.61876 | + | 3.50094i | −0.341572 | + | 0.124322i | ||||
\(794\) | 17.4429 | + | 6.34868i | 0.619024 | + | 0.225306i | ||||
\(795\) | −5.99021 | − | 5.02638i | −0.212451 | − | 0.178267i | ||||
\(796\) | −1.43986 | + | 8.16583i | −0.0510343 | + | 0.289430i | ||||
\(797\) | −20.2918 | −0.718772 | −0.359386 | − | 0.933189i | \(-0.617014\pi\) | ||||
−0.359386 | + | 0.933189i | \(0.617014\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 2.29180 | 0.0810779 | ||||||||
\(800\) | −3.21363 | + | 18.2254i | −0.113619 | + | 0.644366i | ||||
\(801\) | 16.9748 | + | 14.2436i | 0.599776 | + | 0.503272i | ||||
\(802\) | 54.5669 | + | 19.8607i | 1.92682 | + | 0.701307i | ||||
\(803\) | −4.11770 | + | 1.49872i | −0.145311 | + | 0.0528887i | ||||
\(804\) | −1.26587 | + | 1.06219i | −0.0446438 | + | 0.0374606i | ||||
\(805\) | −26.1246 | − | 45.2492i | −0.920772 | − | 1.59482i | ||||
\(806\) | −7.16312 | + | 12.4069i | −0.252310 | + | 0.437014i | ||||
\(807\) | 2.01147 | + | 11.4076i | 0.0708071 | + | 0.401567i | ||||
\(808\) | 3.56463 | + | 20.2160i | 0.125403 | + | 0.711196i | ||||
\(809\) | 12.3992 | − | 21.4760i | 0.435932 | − | 0.755057i | −0.561439 | − | 0.827518i | \(-0.689752\pi\) |
0.997371 | + | 0.0724614i | \(0.0230854\pi\) | |||||||
\(810\) | −20.1803 | − | 34.9534i | −0.709065 | − | 1.22814i | ||||
\(811\) | 17.6027 | − | 14.7704i | 0.618115 | − | 0.518660i | −0.279095 | − | 0.960263i | \(-0.590035\pi\) |
0.897210 | + | 0.441603i | \(0.145590\pi\) | |||||||
\(812\) | 6.30365 | − | 2.29434i | 0.221215 | − | 0.0805156i | ||||
\(813\) | −0.411298 | − | 0.149700i | −0.0144248 | − | 0.00525022i | ||||
\(814\) | −17.7572 | − | 14.9000i | −0.622389 | − | 0.522246i | ||||
\(815\) | 0.991219 | − | 5.62148i | 0.0347209 | − | 0.196912i | ||||
\(816\) | −1.41641 | −0.0495842 | ||||||||
\(817\) | 0 | 0 | ||||||||
\(818\) | −13.4164 | −0.469094 | ||||||||
\(819\) | 1.48683 | − | 8.43223i | 0.0519540 | − | 0.294646i | ||||
\(820\) | −4.59627 | − | 3.85673i | −0.160509 | − | 0.134683i | ||||
\(821\) | −48.9087 | − | 17.8013i | −1.70693 | − | 0.621271i | −0.710343 | − | 0.703856i | \(-0.751460\pi\) |
−0.996584 | + | 0.0825852i | \(0.973682\pi\) | |||||||
\(822\) | −4.33953 | + | 1.57946i | −0.151359 | + | 0.0550900i | ||||
\(823\) | −19.6082 | + | 16.4533i | −0.683501 | + | 0.573525i | −0.917027 | − | 0.398825i | \(-0.869418\pi\) |
0.233526 | + | 0.972350i | \(0.424973\pi\) | |||||||
\(824\) | 16.0172 | + | 27.7426i | 0.557986 | + | 0.966461i | ||||
\(825\) | 1.69098 | − | 2.92887i | 0.0588725 | − | 0.101970i | ||||
\(826\) | 0.274988 | + | 1.55953i | 0.00956805 | + | 0.0542631i | ||||
\(827\) | 5.66037 | + | 32.1015i | 0.196830 | + | 1.11628i | 0.909788 | + | 0.415073i | \(0.136244\pi\) |
−0.712958 | + | 0.701207i | \(0.752645\pi\) | |||||||
\(828\) | 4.74671 | − | 8.22154i | 0.164960 | − | 0.285718i | ||||
\(829\) | −2.33688 | − | 4.04760i | −0.0811632 | − | 0.140579i | 0.822587 | − | 0.568640i | \(-0.192530\pi\) |
−0.903750 | + | 0.428061i | \(0.859197\pi\) | |||||||
\(830\) | 33.9823 | − | 28.5145i | 1.17954 | − | 0.989753i | ||||
\(831\) | −4.09770 | + | 1.49144i | −0.142148 | + | 0.0517375i | ||||
\(832\) | 3.98060 | + | 1.44882i | 0.138003 | + | 0.0502288i | ||||
\(833\) | 1.17041 | + | 0.982092i | 0.0405524 | + | 0.0340275i | ||||
\(834\) | 1.58817 | − | 9.00695i | 0.0549938 | − | 0.311885i | ||||
\(835\) | 65.4853 | 2.26621 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 19.7984 | 0.684332 | ||||||||
\(838\) | −2.51306 | + | 14.2523i | −0.0868122 | + | 0.492337i | ||||
\(839\) | 11.6451 | + | 9.77142i | 0.402034 | + | 0.337347i | 0.821279 | − | 0.570526i | \(-0.193261\pi\) |
−0.419245 | + | 0.907873i | \(0.637705\pi\) | |||||||
\(840\) | 7.79174 | + | 2.83596i | 0.268841 | + | 0.0978500i | ||||
\(841\) | 14.9503 | − | 5.44148i | 0.515529 | − | 0.187637i | ||||
\(842\) | −34.0513 | + | 28.5725i | −1.17349 | + | 0.984672i | ||||
\(843\) | 5.63525 | + | 9.76055i | 0.194088 | + | 0.336171i | ||||
\(844\) | 1.19098 | − | 2.06284i | 0.0409953 | − | 0.0710060i | ||||
\(845\) | −6.74325 | − | 38.2429i | −0.231975 | − | 1.31559i | ||||
\(846\) | −2.40574 | − | 13.6436i | −0.0827110 | − | 0.469078i | ||||
\(847\) | 12.5729 | − | 21.7770i | 0.432012 | − | 0.748266i | ||||
\(848\) | −15.3541 | − | 26.5941i | −0.527262 | − | 0.913245i | ||||
\(849\) | 7.61775 | − | 6.39205i | 0.261441 | − | 0.219375i | ||||
\(850\) | −6.35602 | + | 2.31340i | −0.218010 | + | 0.0793490i | ||||
\(851\) | −44.7787 | − | 16.2981i | −1.53499 | − | 0.558692i | ||||
\(852\) | −1.35125 | − | 1.13383i | −0.0462931 | − | 0.0388445i | ||||
\(853\) | 5.33242 | − | 30.2417i | 0.182579 | − | 1.03546i | −0.746448 | − | 0.665443i | \(-0.768242\pi\) |
0.929027 | − | 0.370012i | \(-0.120646\pi\) | |||||||
\(854\) | −49.6869 | −1.70025 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −36.7082 | −1.25466 | ||||||||
\(857\) | −1.84380 | + | 10.4567i | −0.0629831 | + | 0.357195i | 0.936986 | + | 0.349366i | \(0.113603\pi\) |
−0.999969 | + | 0.00782864i | \(0.997508\pi\) | |||||||
\(858\) | 0.766044 | + | 0.642788i | 0.0261523 | + | 0.0219444i | ||||
\(859\) | 45.6136 | + | 16.6020i | 1.55632 | + | 0.566453i | 0.969889 | − | 0.243548i | \(-0.0783113\pi\) |
0.586428 | + | 0.810001i | \(0.300534\pi\) | |||||||
\(860\) | 0.274199 | − | 0.0998001i | 0.00935010 | − | 0.00340316i | ||||
\(861\) | −2.63343 | + | 2.20971i | −0.0897469 | + | 0.0753066i | ||||
\(862\) | −22.3713 | − | 38.7483i | −0.761970 | − | 1.31977i | ||||
\(863\) | 13.5279 | − | 23.4309i | 0.460494 | − | 0.797599i | −0.538492 | − | 0.842631i | \(-0.681006\pi\) |
0.998986 | + | 0.0450321i | \(0.0143390\pi\) | |||||||
\(864\) | 1.31318 | + | 7.44742i | 0.0446753 | + | 0.253366i | ||||
\(865\) | −0.265311 | − | 1.50465i | −0.00902084 | − | 0.0511597i | ||||
\(866\) | 2.78115 | − | 4.81710i | 0.0945074 | − | 0.163692i | ||||
\(867\) | 3.13525 | + | 5.43042i | 0.106479 | + | 0.184427i | ||||
\(868\) | −12.5757 | + | 10.5523i | −0.426847 | + | 0.358167i | ||||
\(869\) | 20.3990 | − | 7.42464i | 0.691990 | − | 0.251864i | ||||
\(870\) | 6.79968 | + | 2.47488i | 0.230531 | + | 0.0839063i | ||||
\(871\) | 5.36231 | + | 4.49951i | 0.181695 | + | 0.152460i | ||||
\(872\) | 1.27817 | − | 7.24885i | 0.0432843 | − | 0.245477i | ||||
\(873\) | −39.5410 | −1.33826 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 4.58359 | 0.154954 | ||||||||
\(876\) | −0.111017 | + | 0.629608i | −0.00375091 | + | 0.0212725i | ||||
\(877\) | 9.05438 | + | 7.59753i | 0.305745 | + | 0.256550i | 0.782731 | − | 0.622361i | \(-0.213826\pi\) |
−0.476986 | + | 0.878911i | \(0.658271\pi\) | |||||||
\(878\) | 52.6028 | + | 19.1458i | 1.77526 | + | 0.646141i | ||||
\(879\) | 3.64167 | − | 1.32546i | 0.122831 | − | 0.0447067i | ||||
\(880\) | 19.4701 | − | 16.3374i | 0.656337 | − | 0.550732i | ||||
\(881\) | −16.2254 | − | 28.1033i | −0.546648 | − | 0.946823i | −0.998501 | − | 0.0547303i | \(-0.982570\pi\) |
0.451853 | − | 0.892093i | \(-0.350763\pi\) | |||||||
\(882\) | 4.61803 | − | 7.99867i | 0.155497 | − | 0.269329i | ||||
\(883\) | −8.84268 | − | 50.1494i | −0.297580 | − | 1.68766i | −0.656527 | − | 0.754302i | \(-0.727975\pi\) |
0.358947 | − | 0.933358i | \(-0.383136\pi\) | |||||||
\(884\) | −0.0819855 | − | 0.464963i | −0.00275747 | − | 0.0156384i | ||||
\(885\) | −0.201626 | + | 0.349227i | −0.00677759 | + | 0.0117391i | ||||
\(886\) | 6.13525 | + | 10.6266i | 0.206118 | + | 0.357007i | ||||
\(887\) | 20.9494 | − | 17.5786i | 0.703413 | − | 0.590233i | −0.219330 | − | 0.975651i | \(-0.570387\pi\) |
0.922742 | + | 0.385418i | \(0.125943\pi\) | |||||||
\(888\) | 7.10624 | − | 2.58646i | 0.238470 | − | 0.0867959i | ||||
\(889\) | −16.2490 | − | 5.91414i | −0.544973 | − | 0.198354i | ||||
\(890\) | −31.1416 | − | 26.1309i | −1.04387 | − | 0.875910i | ||||
\(891\) | −2.16576 | + | 12.2827i | −0.0725558 | + | 0.411484i | ||||
\(892\) | −7.20163 | −0.241128 | ||||||||
\(893\) | 0 | 0 | ||||||||
\(894\) | −1.18034 | −0.0394765 | ||||||||
\(895\) | 6.87590 | − | 38.9952i | 0.229836 | − | 1.30347i | ||||
\(896\) | 31.2961 | + | 26.2605i | 1.04553 | + | 0.877302i | ||||
\(897\) | 1.93175 | + | 0.703100i | 0.0644993 | + | 0.0234758i | ||||
\(898\) | −4.39190 | + | 1.59852i | −0.146560 | + | 0.0533433i | ||||
\(899\) | 24.5398 | − | 20.5913i | 0.818448 | − | 0.686760i | ||||
\(900\) | 4.82624 | + | 8.35929i | 0.160875 | + | 0.278643i | ||||
\(901\) | 2.41641 | − | 4.18534i | 0.0805022 | − | 0.139434i | ||||
\(902\) | 1.36385 | + | 7.73478i | 0.0454113 | + | 0.257540i | ||||
\(903\) | −0.0290312 | − | 0.164644i | −0.000966099 | − | 0.00547902i | ||||
\(904\) | 7.56231 | − | 13.0983i | 0.251519 | − | 0.435643i | ||||
\(905\) | −19.4164 | − | 33.6302i | −0.645423 | − | 1.11791i | ||||
\(906\) | −9.98496 | + | 8.37838i | −0.331728 | + | 0.278353i | ||||
\(907\) | 24.8757 | − | 9.05400i | 0.825983 | − | 0.300633i | 0.105774 | − | 0.994390i | \(-0.466268\pi\) |
0.720209 | + | 0.693757i | \(0.244046\pi\) | |||||||
\(908\) | −9.53403 | − | 3.47010i | −0.316398 | − | 0.115159i | ||||
\(909\) | 20.0716 | + | 16.8421i | 0.665733 | + | 0.558617i | ||||
\(910\) | −2.72770 | + | 15.4696i | −0.0904224 | + | 0.512811i | ||||
\(911\) | 3.38197 | 0.112050 | 0.0560248 | − | 0.998429i | \(-0.482157\pi\) | ||||
0.0560248 | + | 0.998429i | \(0.482157\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −13.7082 | −0.453675 | ||||||||
\(914\) | 5.53739 | − | 31.4041i | 0.183160 | − | 1.03875i | ||||
\(915\) | −9.69236 | − | 8.13285i | −0.320419 | − | 0.268864i | ||||
\(916\) | 7.90884 | + | 2.87858i | 0.261315 | + | 0.0951110i | ||||
\(917\) | −42.5404 | + | 15.4834i | −1.40481 | + | 0.511308i | ||||
\(918\) | −2.11729 | + | 1.77662i | −0.0698811 | + | 0.0586372i | ||||
\(919\) | −11.6459 | − | 20.1713i | −0.384163 | − | 0.665389i | 0.607490 | − | 0.794327i | \(-0.292177\pi\) |
−0.991653 | + | 0.128938i | \(0.958843\pi\) | |||||||
\(920\) | 19.4721 | − | 33.7267i | 0.641977 | − | 1.11194i | ||||
\(921\) | −1.14921 | − | 6.51749i | −0.0378677 | − | 0.214759i | ||||
\(922\) | 5.88468 | + | 33.3737i | 0.193802 | + | 1.09910i | ||||
\(923\) | −3.73607 | + | 6.47106i | −0.122974 | + | 0.212998i | ||||
\(924\) | 0.572949 | + | 0.992377i | 0.0188486 | + | 0.0326468i | ||||
\(925\) | 37.1155 | − | 31.1436i | 1.22035 | − | 1.02400i | ||||
\(926\) | −42.9840 | + | 15.6449i | −1.41254 | + | 0.514124i | ||||
\(927\) | 38.4227 | + | 13.9847i | 1.26197 | + | 0.459318i | ||||
\(928\) | 9.37337 | + | 7.86519i | 0.307696 | + | 0.258188i | ||||
\(929\) | 2.84470 | − | 16.1331i | 0.0933315 | − | 0.529309i | −0.901914 | − | 0.431915i | \(-0.857838\pi\) |
0.995246 | − | 0.0973944i | \(-0.0310508\pi\) | |||||||
\(930\) | −17.7082 | −0.580675 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 2.79837 | 0.0916638 | ||||||||
\(933\) | 0.839210 | − | 4.75939i | 0.0274745 | − | 0.155816i | ||||
\(934\) | −19.7627 | − | 16.5829i | −0.646655 | − | 0.542608i | ||||
\(935\) | 3.75877 | + | 1.36808i | 0.122925 | + | 0.0447410i | ||||
\(936\) | 5.99709 | − | 2.18276i | 0.196021 | − | 0.0713458i | ||||
\(937\) | 31.0725 | − | 26.0729i | 1.01510 | − | 0.851766i | 0.0260920 | − | 0.999660i | \(-0.491694\pi\) |
0.989003 | + | 0.147893i | \(0.0472493\pi\) | |||||||
\(938\) | 16.9894 | + | 29.4264i | 0.554722 | + | 0.960807i | ||||
\(939\) | 2.16312 | − | 3.74663i | 0.0705907 | − | 0.122267i | ||||
\(940\) | 1.04189 | + | 5.90885i | 0.0339827 | + | 0.192725i | ||||
\(941\) | −1.85576 | − | 10.5246i | −0.0604962 | − | 0.343091i | −1.00000 | 0.000552015i | \(-0.999824\pi\) | |
0.939504 | − | 0.342539i | \(-0.111287\pi\) | |||||||
\(942\) | 5.51722 | − | 9.55611i | 0.179761 | − | 0.311355i | ||||
\(943\) | 8.07295 | + | 13.9828i | 0.262891 | + | 0.455341i | ||||
\(944\) | −1.21310 | + | 1.01791i | −0.0394831 | + | 0.0331303i | ||||
\(945\) | 20.3990 | − | 7.42464i | 0.663581 | − | 0.241524i | ||||
\(946\) | −0.358931 | − | 0.130640i | −0.0116698 | − | 0.00424748i | ||||
\(947\) | −25.0132 | − | 20.9886i | −0.812821 | − | 0.682038i | 0.138458 | − | 0.990368i | \(-0.455785\pi\) |
−0.951279 | + | 0.308330i | \(0.900230\pi\) | |||||||
\(948\) | 0.549976 | − | 3.11907i | 0.0178624 | − | 0.101303i | ||||
\(949\) | 2.70820 | 0.0879120 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 6.87539 | 0.222950 | ||||||||
\(952\) | −0.889879 | + | 5.04676i | −0.0288412 | + | 0.163566i | ||||
\(953\) | 13.2463 | + | 11.1150i | 0.429089 | + | 0.360049i | 0.831608 | − | 0.555363i | \(-0.187421\pi\) |
−0.402519 | + | 0.915412i | \(0.631865\pi\) | |||||||
\(954\) | −27.4529 | − | 9.99204i | −0.888821 | − | 0.323504i | ||||
\(955\) | −43.2906 | + | 15.7565i | −1.40085 | + | 0.509868i | ||||
\(956\) | −0.154455 | + | 0.129603i | −0.00499542 | + | 0.00419165i | ||||
\(957\) | −1.11803 | − | 1.93649i | −0.0361409 | − | 0.0625979i | ||||
\(958\) | −18.6803 | + | 32.3553i | −0.603534 | + | 1.04535i | ||||
\(959\) | 3.89257 | + | 22.0759i | 0.125698 | + | 0.712866i | ||||
\(960\) | 0.909234 | + | 5.15652i | 0.0293454 | + | 0.166426i | ||||
\(961\) | −23.6976 | + | 41.0454i | −0.764437 | + | 1.32404i | ||||
\(962\) | 7.16312 | + | 12.4069i | 0.230948 | + | 0.400014i | ||||
\(963\) | −35.8923 | + | 30.1172i | −1.15661 | + | 0.970514i | ||||
\(964\) | −1.84702 | + | 0.672260i | −0.0594885 | + | 0.0216521i | ||||
\(965\) | −15.3740 | − | 5.59568i | −0.494907 | − | 0.180131i | ||||
\(966\) | 7.64414 | + | 6.41419i | 0.245946 | + | 0.206373i | ||||
\(967\) | 1.13584 | − | 6.44165i | 0.0365260 | − | 0.207149i | −0.961083 | − | 0.276260i | \(-0.910905\pi\) |
0.997609 | + | 0.0691104i | \(0.0220161\pi\) | |||||||
\(968\) | 18.7426 | 0.602411 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 72.5410 | 2.32915 | ||||||||
\(971\) | 4.08187 | − | 23.1495i | 0.130994 | − | 0.742902i | −0.846573 | − | 0.532273i | \(-0.821338\pi\) |
0.977566 | − | 0.210628i | \(-0.0675510\pi\) | |||||||
\(972\) | 4.56988 | + | 3.83459i | 0.146579 | + | 0.122994i | ||||
\(973\) | −41.7178 | − | 15.1840i | −1.33741 | − | 0.486778i | ||||
\(974\) | −6.35602 | + | 2.31340i | −0.203660 | + | 0.0741261i | ||||
\(975\) | −1.60116 | + | 1.34354i | −0.0512783 | + | 0.0430276i | ||||
\(976\) | −24.8435 | − | 43.0301i | −0.795220 | − | 1.37736i | ||||
\(977\) | −5.31966 | + | 9.21392i | −0.170191 | + | 0.294779i | −0.938487 | − | 0.345316i | \(-0.887772\pi\) |
0.768296 | + | 0.640095i | \(0.221105\pi\) | |||||||
\(978\) | 0.189306 | + | 1.07361i | 0.00605334 | + | 0.0343302i | ||||
\(979\) | 2.18142 | + | 12.3715i | 0.0697185 | + | 0.395393i | ||||
\(980\) | −2.00000 | + | 3.46410i | −0.0638877 | + | 0.110657i | ||||
\(981\) | −4.69756 | − | 8.13641i | −0.149982 | − | 0.259776i | ||||
\(982\) | −26.2954 | + | 22.0645i | −0.839121 | + | 0.704106i | ||||
\(983\) | −30.6509 | + | 11.1560i | −0.977613 | + | 0.355822i | −0.780912 | − | 0.624642i | \(-0.785245\pi\) |
−0.196701 | + | 0.980463i | \(0.563023\pi\) | |||||||
\(984\) | −2.40778 | − | 0.876360i | −0.0767572 | − | 0.0279373i | ||||
\(985\) | 7.43692 | + | 6.24031i | 0.236960 | + | 0.198833i | ||||
\(986\) | −0.776578 | + | 4.40419i | −0.0247313 | + | 0.140258i | ||||
\(987\) | 3.43769 | 0.109423 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −0.785218 | −0.0249685 | ||||||||
\(990\) | 4.19887 | − | 23.8130i | 0.133449 | − | 0.756826i | ||||
\(991\) | 5.70768 | + | 4.78931i | 0.181310 | + | 0.152138i | 0.728926 | − | 0.684593i | \(-0.240020\pi\) |
−0.547615 | + | 0.836730i | \(0.684464\pi\) | |||||||
\(992\) | −28.1384 | − | 10.2415i | −0.893395 | − | 0.325169i | ||||
\(993\) | −3.92823 | + | 1.42976i | −0.124659 | + | 0.0453721i | ||||
\(994\) | −27.7848 | + | 23.3142i | −0.881281 | + | 0.739483i | ||||
\(995\) | 21.7082 | + | 37.5997i | 0.688196 | + | 1.19199i | ||||
\(996\) | −1.00000 | + | 1.73205i | −0.0316862 | + | 0.0548821i | ||||
\(997\) | 6.89526 | + | 39.1049i | 0.218375 | + | 1.23847i | 0.874953 | + | 0.484208i | \(0.160892\pi\) |
−0.656578 | + | 0.754258i | \(0.727997\pi\) | |||||||
\(998\) | 7.05923 | + | 40.0349i | 0.223456 | + | 1.26728i | ||||
\(999\) | 9.89919 | − | 17.1459i | 0.313196 | − | 0.542472i |
(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 | 361.2.e.j.245.2 | 12 | ||
19.2 | odd | 18 | 361.2.c.g.68.2 | 4 | |||
19.3 | odd | 18 | 361.2.a.c.1.1 | ✓ | 2 | ||
19.4 | even | 9 | inner | 361.2.e.j.234.2 | 12 | ||
19.5 | even | 9 | 361.2.c.d.292.1 | 4 | |||
19.6 | even | 9 | inner | 361.2.e.j.99.1 | 12 | ||
19.7 | even | 3 | inner | 361.2.e.j.54.2 | 12 | ||
19.8 | odd | 6 | 361.2.e.i.62.2 | 12 | |||
19.9 | even | 9 | inner | 361.2.e.j.28.2 | 12 | ||
19.10 | odd | 18 | 361.2.e.i.28.1 | 12 | |||
19.11 | even | 3 | inner | 361.2.e.j.62.1 | 12 | ||
19.12 | odd | 6 | 361.2.e.i.54.1 | 12 | |||
19.13 | odd | 18 | 361.2.e.i.99.2 | 12 | |||
19.14 | odd | 18 | 361.2.c.g.292.2 | 4 | |||
19.15 | odd | 18 | 361.2.e.i.234.1 | 12 | |||
19.16 | even | 9 | 361.2.a.f.1.2 | yes | 2 | ||
19.17 | even | 9 | 361.2.c.d.68.1 | 4 | |||
19.18 | odd | 2 | 361.2.e.i.245.1 | 12 | |||
57.35 | odd | 18 | 3249.2.a.i.1.1 | 2 | |||
57.41 | even | 18 | 3249.2.a.o.1.2 | 2 | |||
76.3 | even | 18 | 5776.2.a.bg.1.1 | 2 | |||
76.35 | odd | 18 | 5776.2.a.s.1.2 | 2 | |||
95.54 | even | 18 | 9025.2.a.n.1.1 | 2 | |||
95.79 | odd | 18 | 9025.2.a.s.1.2 | 2 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
361.2.a.c.1.1 | ✓ | 2 | 19.3 | odd | 18 | ||
361.2.a.f.1.2 | yes | 2 | 19.16 | even | 9 | ||
361.2.c.d.68.1 | 4 | 19.17 | even | 9 | |||
361.2.c.d.292.1 | 4 | 19.5 | even | 9 | |||
361.2.c.g.68.2 | 4 | 19.2 | odd | 18 | |||
361.2.c.g.292.2 | 4 | 19.14 | odd | 18 | |||
361.2.e.i.28.1 | 12 | 19.10 | odd | 18 | |||
361.2.e.i.54.1 | 12 | 19.12 | odd | 6 | |||
361.2.e.i.62.2 | 12 | 19.8 | odd | 6 | |||
361.2.e.i.99.2 | 12 | 19.13 | odd | 18 | |||
361.2.e.i.234.1 | 12 | 19.15 | odd | 18 | |||
361.2.e.i.245.1 | 12 | 19.18 | odd | 2 | |||
361.2.e.j.28.2 | 12 | 19.9 | even | 9 | inner | ||
361.2.e.j.54.2 | 12 | 19.7 | even | 3 | inner | ||
361.2.e.j.62.1 | 12 | 19.11 | even | 3 | inner | ||
361.2.e.j.99.1 | 12 | 19.6 | even | 9 | inner | ||
361.2.e.j.234.2 | 12 | 19.4 | even | 9 | inner | ||
361.2.e.j.245.2 | 12 | 1.1 | even | 1 | trivial | ||
3249.2.a.i.1.1 | 2 | 57.35 | odd | 18 | |||
3249.2.a.o.1.2 | 2 | 57.41 | even | 18 | |||
5776.2.a.s.1.2 | 2 | 76.35 | odd | 18 | |||
5776.2.a.bg.1.1 | 2 | 76.3 | even | 18 | |||
9025.2.a.n.1.1 | 2 | 95.54 | even | 18 | |||
9025.2.a.s.1.2 | 2 | 95.79 | odd | 18 |