Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [280,2,Mod(139,280)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(280, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 1, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("280.139");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 280 = 2^{3} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 280.n (of order \(2\), degree \(1\), 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: | \(2.23581125660\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 139.5 | ||
Character | \(\chi\) | \(=\) | 280.139 |
Dual form | 280.2.n.b.139.7 |
$q$-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 \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).
\(n\) | \(57\) | \(71\) | \(141\) | \(241\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.20452 | − | 0.741038i | −0.851723 | − | 0.523993i | ||||
\(3\) | −2.57969 | −1.48938 | −0.744692 | − | 0.667409i | \(-0.767403\pi\) | ||||
−0.744692 | + | 0.667409i | \(0.767403\pi\) | |||||||
\(4\) | 0.901725 | + | 1.78519i | 0.450862 | + | 0.892593i | ||||
\(5\) | −0.460102 | + | 2.18822i | −0.205764 | + | 0.978602i | ||||
\(6\) | 3.10728 | + | 1.91165i | 1.26854 | + | 0.780426i | ||||
\(7\) | 2.31487 | − | 1.28116i | 0.874940 | − | 0.484231i | ||||
\(8\) | 0.236748 | − | 2.81850i | 0.0837031 | − | 0.996491i | ||||
\(9\) | 3.65479 | 1.21826 | ||||||||
\(10\) | 2.17576 | − | 2.29480i | 0.688034 | − | 0.725678i | ||||
\(11\) | −3.59890 | −1.08511 | −0.542555 | − | 0.840020i | \(-0.682543\pi\) | ||||
−0.542555 | + | 0.840020i | \(0.682543\pi\) | |||||||
\(12\) | −2.32617 | − | 4.60522i | −0.671507 | − | 1.32941i | ||||
\(13\) | 1.33525i | 0.370332i | 0.982707 | + | 0.185166i | \(0.0592824\pi\) | ||||
−0.982707 | + | 0.185166i | \(0.940718\pi\) | |||||||
\(14\) | −3.73769 | − | 0.172236i | −0.998940 | − | 0.0460319i | ||||
\(15\) | 1.18692 | − | 5.64492i | 0.306461 | − | 1.45751i | ||||
\(16\) | −2.37378 | + | 3.21949i | −0.593446 | + | 0.804874i | ||||
\(17\) | −2.88506 | −0.699730 | −0.349865 | − | 0.936800i | \(-0.613773\pi\) | ||||
−0.349865 | + | 0.936800i | \(0.613773\pi\) | |||||||
\(18\) | −4.40225 | − | 2.70834i | −1.03762 | − | 0.638361i | ||||
\(19\) | − | 5.38901i | − | 1.23632i | −0.786051 | − | 0.618162i | \(-0.787877\pi\) | ||
0.786051 | − | 0.618162i | \(-0.212123\pi\) | |||||||
\(20\) | −4.32127 | + | 1.15180i | −0.966265 | + | 0.257551i | ||||
\(21\) | −5.97165 | + | 3.30498i | −1.30312 | + | 0.721206i | ||||
\(22\) | 4.33494 | + | 2.66693i | 0.924213 | + | 0.568590i | ||||
\(23\) | −4.45993 | −0.929960 | −0.464980 | − | 0.885321i | \(-0.653939\pi\) | ||||
−0.464980 | + | 0.885321i | \(0.653939\pi\) | |||||||
\(24\) | −0.610736 | + | 7.27085i | −0.124666 | + | 1.48416i | ||||
\(25\) | −4.57661 | − | 2.01361i | −0.915322 | − | 0.402722i | ||||
\(26\) | 0.989473 | − | 1.60834i | 0.194052 | − | 0.315421i | ||||
\(27\) | −1.68914 | −0.325075 | ||||||||
\(28\) | 4.37448 | + | 2.97723i | 0.826699 | + | 0.562644i | ||||
\(29\) | − | 1.88494i | − | 0.350025i | −0.984566 | − | 0.175013i | \(-0.944003\pi\) | ||
0.984566 | − | 0.175013i | \(-0.0559967\pi\) | |||||||
\(30\) | −5.61277 | + | 5.91986i | −1.02475 | + | 1.08081i | ||||
\(31\) | −7.70769 | −1.38434 | −0.692171 | − | 0.721734i | \(-0.743346\pi\) | ||||
−0.692171 | + | 0.721734i | \(0.743346\pi\) | |||||||
\(32\) | 5.24503 | − | 2.11887i | 0.927200 | − | 0.374567i | ||||
\(33\) | 9.28405 | 1.61615 | ||||||||
\(34\) | 3.47511 | + | 2.13794i | 0.595976 | + | 0.366654i | ||||
\(35\) | 1.73837 | + | 5.65492i | 0.293838 | + | 0.955855i | ||||
\(36\) | 3.29561 | + | 6.52448i | 0.549269 | + | 1.08741i | ||||
\(37\) | −4.64826 | −0.764168 | −0.382084 | − | 0.924128i | \(-0.624794\pi\) | ||||
−0.382084 | + | 0.924128i | \(0.624794\pi\) | |||||||
\(38\) | −3.99346 | + | 6.49116i | −0.647825 | + | 1.05301i | ||||
\(39\) | − | 3.44453i | − | 0.551567i | ||||||
\(40\) | 6.05857 | + | 1.81486i | 0.957944 | + | 0.286954i | ||||
\(41\) | 0.606622i | 0.0947385i | 0.998877 | + | 0.0473693i | \(0.0150837\pi\) | ||||
−0.998877 | + | 0.0473693i | \(0.984916\pi\) | |||||||
\(42\) | 9.64207 | + | 0.444314i | 1.48780 | + | 0.0685591i | ||||
\(43\) | − | 12.1167i | − | 1.84779i | −0.382652 | − | 0.923893i | \(-0.624989\pi\) | ||
0.382652 | − | 0.923893i | \(-0.375011\pi\) | |||||||
\(44\) | −3.24522 | − | 6.42472i | −0.489236 | − | 0.968563i | ||||
\(45\) | −1.68157 | + | 7.99747i | −0.250674 | + | 1.19219i | ||||
\(46\) | 5.37207 | + | 3.30498i | 0.792068 | + | 0.487293i | ||||
\(47\) | − | 6.92126i | − | 1.00957i | −0.863245 | − | 0.504784i | \(-0.831572\pi\) | ||
0.863245 | − | 0.504784i | \(-0.168428\pi\) | |||||||
\(48\) | 6.12362 | − | 8.30529i | 0.883869 | − | 1.19877i | ||||
\(49\) | 3.71728 | − | 5.93143i | 0.531040 | − | 0.847347i | ||||
\(50\) | 4.02045 | + | 5.81687i | 0.568577 | + | 0.822630i | ||||
\(51\) | 7.44256 | 1.04217 | ||||||||
\(52\) | −2.38368 | + | 1.20403i | −0.330556 | + | 0.166969i | ||||
\(53\) | −6.31531 | −0.867474 | −0.433737 | − | 0.901039i | \(-0.642805\pi\) | ||||
−0.433737 | + | 0.901039i | \(0.642805\pi\) | |||||||
\(54\) | 2.03460 | + | 1.25172i | 0.276874 | + | 0.170337i | ||||
\(55\) | 1.65586 | − | 7.87519i | 0.223277 | − | 1.06189i | ||||
\(56\) | −3.06290 | − | 6.82779i | −0.409297 | − | 0.912401i | ||||
\(57\) | 13.9020i | 1.84136i | ||||||||
\(58\) | −1.39682 | + | 2.27045i | −0.183411 | + | 0.298125i | ||||
\(59\) | − | 1.39031i | − | 0.181002i | −0.995896 | − | 0.0905012i | \(-0.971153\pi\) | ||
0.995896 | − | 0.0905012i | \(-0.0288469\pi\) | |||||||
\(60\) | 11.1475 | − | 2.97129i | 1.43914 | − | 0.383592i | ||||
\(61\) | 3.80122 | 0.486696 | 0.243348 | − | 0.969939i | \(-0.421754\pi\) | ||||
0.243348 | + | 0.969939i | \(0.421754\pi\) | |||||||
\(62\) | 9.28405 | + | 5.71169i | 1.17908 | + | 0.725386i | ||||
\(63\) | 8.46037 | − | 4.68235i | 1.06591 | − | 0.589920i | ||||
\(64\) | −7.88790 | − | 1.33455i | −0.985988 | − | 0.166819i | ||||
\(65\) | −2.92183 | − | 0.614353i | −0.362408 | − | 0.0762011i | ||||
\(66\) | −11.1828 | − | 6.87983i | −1.37651 | − | 0.846849i | ||||
\(67\) | 13.6816i | 1.67148i | 0.549127 | + | 0.835739i | \(0.314960\pi\) | ||||
−0.549127 | + | 0.835739i | \(0.685040\pi\) | |||||||
\(68\) | −2.60153 | − | 5.15038i | −0.315482 | − | 0.624575i | ||||
\(69\) | 11.5052 | 1.38507 | ||||||||
\(70\) | 2.09661 | − | 8.09964i | 0.250593 | − | 0.968093i | ||||
\(71\) | 8.19810i | 0.972935i | 0.873699 | + | 0.486467i | \(0.161715\pi\) | ||||
−0.873699 | + | 0.486467i | \(0.838285\pi\) | |||||||
\(72\) | 0.865264 | − | 10.3010i | 0.101972 | − | 1.21399i | ||||
\(73\) | 11.4433 | 1.33934 | 0.669671 | − | 0.742658i | \(-0.266435\pi\) | ||||
0.669671 | + | 0.742658i | \(0.266435\pi\) | |||||||
\(74\) | 5.59890 | + | 3.44453i | 0.650859 | + | 0.400419i | ||||
\(75\) | 11.8062 | + | 5.19448i | 1.36327 | + | 0.599807i | ||||
\(76\) | 9.62040 | − | 4.85941i | 1.10354 | − | 0.557412i | ||||
\(77\) | −8.33101 | + | 4.61076i | −0.949407 | + | 0.525444i | ||||
\(78\) | −2.55253 | + | 4.14900i | −0.289017 | + | 0.469782i | ||||
\(79\) | 10.3062i | 1.15954i | 0.814782 | + | 0.579768i | \(0.196857\pi\) | ||||
−0.814782 | + | 0.579768i | \(0.803143\pi\) | |||||||
\(80\) | −5.95278 | − | 6.67566i | −0.665541 | − | 0.746361i | ||||
\(81\) | −6.60690 | −0.734100 | ||||||||
\(82\) | 0.449530 | − | 0.730687i | 0.0496423 | − | 0.0806909i | ||||
\(83\) | −13.5735 | −1.48989 | −0.744943 | − | 0.667129i | \(-0.767523\pi\) | ||||
−0.744943 | + | 0.667129i | \(0.767523\pi\) | |||||||
\(84\) | −11.2848 | − | 7.68033i | −1.23127 | − | 0.837993i | ||||
\(85\) | 1.32742 | − | 6.31315i | 0.143979 | − | 0.684757i | ||||
\(86\) | −8.97897 | + | 14.5948i | −0.968227 | + | 1.57380i | ||||
\(87\) | 4.86257i | 0.521322i | ||||||||
\(88\) | −0.852034 | + | 10.1435i | −0.0908271 | + | 1.08130i | ||||
\(89\) | − | 7.04915i | − | 0.747208i | −0.927588 | − | 0.373604i | \(-0.878122\pi\) | ||
0.927588 | − | 0.373604i | \(-0.121878\pi\) | |||||||
\(90\) | 7.95192 | − | 8.38699i | 0.838206 | − | 0.884066i | ||||
\(91\) | 1.71067 | + | 3.09094i | 0.179327 | + | 0.324019i | ||||
\(92\) | −4.02163 | − | 7.96181i | −0.419284 | − | 0.830076i | ||||
\(93\) | 19.8834 | 2.06182 | ||||||||
\(94\) | −5.12891 | + | 8.33677i | −0.529007 | + | 0.859873i | ||||
\(95\) | 11.7923 | + | 2.47950i | 1.20987 | + | 0.254391i | ||||
\(96\) | −13.5305 | + | 5.46603i | −1.38096 | + | 0.557874i | ||||
\(97\) | −6.26335 | −0.635946 | −0.317973 | − | 0.948100i | \(-0.603002\pi\) | ||||
−0.317973 | + | 0.948100i | \(0.603002\pi\) | |||||||
\(98\) | −8.87294 | + | 4.38986i | −0.896303 | + | 0.443443i | ||||
\(99\) | −13.1532 | −1.32195 | ||||||||
\(100\) | −0.532176 | − | 9.98583i | −0.0532176 | − | 0.998583i | ||||
\(101\) | 4.83035 | 0.480638 | 0.240319 | − | 0.970694i | \(-0.422748\pi\) | ||||
0.240319 | + | 0.970694i | \(0.422748\pi\) | |||||||
\(102\) | −8.96469 | − | 5.51522i | −0.887637 | − | 0.546088i | ||||
\(103\) | 13.4501i | 1.32528i | 0.748938 | + | 0.662640i | \(0.230564\pi\) | ||||
−0.748938 | + | 0.662640i | \(0.769436\pi\) | |||||||
\(104\) | 3.76341 | + | 0.316119i | 0.369033 | + | 0.0309980i | ||||
\(105\) | −4.48445 | − | 14.5879i | −0.437638 | − | 1.42363i | ||||
\(106\) | 7.60690 | + | 4.67988i | 0.738847 | + | 0.454551i | ||||
\(107\) | − | 8.42571i | − | 0.814544i | −0.913307 | − | 0.407272i | \(-0.866480\pi\) | ||
0.913307 | − | 0.407272i | \(-0.133520\pi\) | |||||||
\(108\) | −1.52314 | − | 3.01543i | −0.146564 | − | 0.290160i | ||||
\(109\) | − | 12.1174i | − | 1.16064i | −0.814388 | − | 0.580320i | \(-0.802927\pi\) | ||
0.814388 | − | 0.580320i | \(-0.197073\pi\) | |||||||
\(110\) | −7.83034 | + | 8.25875i | −0.746593 | + | 0.787441i | ||||
\(111\) | 11.9910 | 1.13814 | ||||||||
\(112\) | −1.37034 | + | 10.4939i | −0.129485 | + | 0.991581i | ||||
\(113\) | 10.3315i | 0.971907i | 0.873985 | + | 0.485953i | \(0.161528\pi\) | ||||
−0.873985 | + | 0.485953i | \(0.838472\pi\) | |||||||
\(114\) | 10.3019 | − | 16.7452i | 0.964860 | − | 1.56833i | ||||
\(115\) | 2.05202 | − | 9.75931i | 0.191352 | − | 0.910061i | ||||
\(116\) | 3.36498 | − | 1.69970i | 0.312430 | − | 0.157813i | ||||
\(117\) | 4.88006i | 0.451162i | ||||||||
\(118\) | −1.03027 | + | 1.67465i | −0.0948440 | + | 0.154164i | ||||
\(119\) | −6.67855 | + | 3.69621i | −0.612222 | + | 0.338831i | ||||
\(120\) | −15.6292 | − | 4.68176i | −1.42675 | − | 0.427384i | ||||
\(121\) | 1.95211 | 0.177465 | ||||||||
\(122\) | −4.57863 | − | 2.81685i | −0.414530 | − | 0.255025i | ||||
\(123\) | − | 1.56490i | − | 0.141102i | ||||||
\(124\) | −6.95022 | − | 13.7597i | −0.624148 | − | 1.23565i | ||||
\(125\) | 6.51193 | − | 9.08817i | 0.582445 | − | 0.812870i | ||||
\(126\) | −13.6605 | − | 0.629484i | −1.21697 | − | 0.0560789i | ||||
\(127\) | −9.65843 | −0.857047 | −0.428524 | − | 0.903531i | \(-0.640966\pi\) | ||||
−0.428524 | + | 0.903531i | \(0.640966\pi\) | |||||||
\(128\) | 8.51216 | + | 7.45272i | 0.752376 | + | 0.658734i | ||||
\(129\) | 31.2574i | 2.75206i | ||||||||
\(130\) | 3.06413 | + | 2.90518i | 0.268742 | + | 0.254801i | ||||
\(131\) | 20.2931i | 1.77302i | 0.462711 | + | 0.886509i | \(0.346877\pi\) | ||||
−0.462711 | + | 0.886509i | \(0.653123\pi\) | |||||||
\(132\) | 8.37166 | + | 16.5738i | 0.728659 | + | 1.44256i | ||||
\(133\) | −6.90416 | − | 12.4749i | −0.598667 | − | 1.08171i | ||||
\(134\) | 10.1386 | − | 16.4798i | 0.875843 | − | 1.42364i | ||||
\(135\) | 0.777178 | − | 3.69621i | 0.0668888 | − | 0.318119i | ||||
\(136\) | −0.683033 | + | 8.13155i | −0.0585696 | + | 0.697275i | ||||
\(137\) | − | 12.2326i | − | 1.04510i | −0.852608 | − | 0.522551i | \(-0.824981\pi\) | ||
0.852608 | − | 0.522551i | \(-0.175019\pi\) | |||||||
\(138\) | −13.8583 | − | 8.52581i | −1.17969 | − | 0.725766i | ||||
\(139\) | − | 0.177061i | − | 0.0150181i | −0.999972 | − | 0.00750907i | \(-0.997610\pi\) | ||
0.999972 | − | 0.00750907i | \(-0.00239023\pi\) | |||||||
\(140\) | −8.52755 | + | 8.20250i | −0.720709 | + | 0.693237i | ||||
\(141\) | 17.8547i | 1.50363i | ||||||||
\(142\) | 6.07510 | − | 9.87475i | 0.509811 | − | 0.828671i | ||||
\(143\) | − | 4.80545i | − | 0.401852i | ||||||
\(144\) | −8.67567 | + | 11.7666i | −0.722973 | + | 0.980547i | ||||
\(145\) | 4.12467 | + | 0.867267i | 0.342535 | + | 0.0720226i | ||||
\(146\) | −13.7837 | − | 8.47995i | −1.14075 | − | 0.701806i | ||||
\(147\) | −9.58942 | + | 15.3012i | −0.790922 | + | 1.26202i | ||||
\(148\) | −4.19145 | − | 8.29800i | −0.344535 | − | 0.682092i | ||||
\(149\) | 0.279108i | 0.0228654i | 0.999935 | + | 0.0114327i | \(0.00363923\pi\) | ||||
−0.999935 | + | 0.0114327i | \(0.996361\pi\) | |||||||
\(150\) | −10.3715 | − | 15.0057i | −0.846829 | − | 1.22521i | ||||
\(151\) | − | 4.75356i | − | 0.386839i | −0.981116 | − | 0.193420i | \(-0.938042\pi\) | ||
0.981116 | − | 0.193420i | \(-0.0619579\pi\) | |||||||
\(152\) | −15.1889 | − | 1.27584i | −1.23199 | − | 0.103484i | ||||
\(153\) | −10.5443 | −0.852455 | ||||||||
\(154\) | 13.4516 | + | 0.619860i | 1.08396 | + | 0.0499497i | ||||
\(155\) | 3.54632 | − | 16.8661i | 0.284848 | − | 1.35472i | ||||
\(156\) | 6.14914 | − | 3.10602i | 0.492325 | − | 0.248681i | ||||
\(157\) | − | 2.97219i | − | 0.237206i | −0.992942 | − | 0.118603i | \(-0.962158\pi\) | ||
0.992942 | − | 0.118603i | \(-0.0378416\pi\) | |||||||
\(158\) | 7.63727 | − | 12.4140i | 0.607588 | − | 0.987602i | ||||
\(159\) | 16.2915 | 1.29200 | ||||||||
\(160\) | 2.22331 | + | 12.4522i | 0.175768 | + | 0.984432i | ||||
\(161\) | −10.3242 | + | 5.71387i | −0.813659 | + | 0.450316i | ||||
\(162\) | 7.95813 | + | 4.89596i | 0.625249 | + | 0.384663i | ||||
\(163\) | 8.42571i | 0.659953i | 0.943989 | + | 0.329976i | \(0.107041\pi\) | ||||
−0.943989 | + | 0.329976i | \(0.892959\pi\) | |||||||
\(164\) | −1.08293 | + | 0.547007i | −0.0845630 | + | 0.0427140i | ||||
\(165\) | −4.27161 | + | 20.3155i | −0.332544 | + | 1.58156i | ||||
\(166\) | 16.3495 | + | 10.0585i | 1.26897 | + | 0.780690i | ||||
\(167\) | − | 13.4501i | − | 1.04080i | −0.853922 | − | 0.520401i | \(-0.825782\pi\) | ||
0.853922 | − | 0.520401i | \(-0.174218\pi\) | |||||||
\(168\) | 7.90131 | + | 17.6136i | 0.609600 | + | 1.35892i | ||||
\(169\) | 11.2171 | 0.862854 | ||||||||
\(170\) | −6.27719 | + | 6.62063i | −0.481438 | + | 0.507779i | ||||
\(171\) | − | 19.6957i | − | 1.50617i | ||||||
\(172\) | 21.6306 | − | 10.9260i | 1.64932 | − | 0.833097i | ||||
\(173\) | 10.5918i | 0.805276i | 0.915359 | + | 0.402638i | \(0.131907\pi\) | ||||
−0.915359 | + | 0.402638i | \(0.868093\pi\) | |||||||
\(174\) | 3.60335 | − | 5.85705i | 0.273169 | − | 0.444022i | ||||
\(175\) | −13.1740 | + | 1.20210i | −0.995863 | + | 0.0908702i | ||||
\(176\) | 8.54302 | − | 11.5867i | 0.643955 | − | 0.873377i | ||||
\(177\) | 3.58655i | 0.269582i | ||||||||
\(178\) | −5.22369 | + | 8.49083i | −0.391532 | + | 0.636414i | ||||
\(179\) | −1.93943 | −0.144959 | −0.0724797 | − | 0.997370i | \(-0.523091\pi\) | ||||
−0.0724797 | + | 0.997370i | \(0.523091\pi\) | |||||||
\(180\) | −15.7933 | + | 4.20960i | −1.17716 | + | 0.313765i | ||||
\(181\) | −11.9947 | −0.891561 | −0.445780 | − | 0.895142i | \(-0.647074\pi\) | ||||
−0.445780 | + | 0.895142i | \(0.647074\pi\) | |||||||
\(182\) | 0.229978 | − | 4.99076i | 0.0170471 | − | 0.369940i | ||||
\(183\) | −9.80596 | −0.724877 | ||||||||
\(184\) | −1.05588 | + | 12.5703i | −0.0778406 | + | 0.926697i | ||||
\(185\) | 2.13867 | − | 10.1714i | 0.157238 | − | 0.747816i | ||||
\(186\) | −23.9499 | − | 14.7344i | −1.75609 | − | 1.08038i | ||||
\(187\) | 10.3831 | 0.759285 | ||||||||
\(188\) | 12.3557 | − | 6.24107i | 0.901135 | − | 0.455177i | ||||
\(189\) | −3.91015 | + | 2.16405i | −0.284422 | + | 0.157412i | ||||
\(190\) | −12.3667 | − | 11.7252i | −0.897174 | − | 0.850634i | ||||
\(191\) | − | 10.3062i | − | 0.745729i | −0.927886 | − | 0.372864i | \(-0.878376\pi\) | ||
0.927886 | − | 0.372864i | \(-0.121624\pi\) | |||||||
\(192\) | 20.3483 | + | 3.44272i | 1.46851 | + | 0.248457i | ||||
\(193\) | − | 7.97366i | − | 0.573957i | −0.957937 | − | 0.286978i | \(-0.907349\pi\) | ||
0.957937 | − | 0.286978i | \(-0.0926508\pi\) | |||||||
\(194\) | 7.54431 | + | 4.64138i | 0.541650 | + | 0.333232i | ||||
\(195\) | 7.53740 | + | 1.58484i | 0.539764 | + | 0.113493i | ||||
\(196\) | 13.9407 | + | 1.28753i | 0.995762 | + | 0.0919662i | ||||
\(197\) | 9.16007 | 0.652628 | 0.326314 | − | 0.945261i | \(-0.394193\pi\) | ||||
0.326314 | + | 0.945261i | \(0.394193\pi\) | |||||||
\(198\) | 15.8433 | + | 9.74704i | 1.12593 | + | 0.692692i | ||||
\(199\) | −18.1246 | −1.28482 | −0.642408 | − | 0.766362i | \(-0.722065\pi\) | ||||
−0.642408 | + | 0.766362i | \(0.722065\pi\) | |||||||
\(200\) | −6.75886 | + | 12.4225i | −0.477924 | + | 0.878401i | ||||
\(201\) | − | 35.2943i | − | 2.48947i | ||||||
\(202\) | −5.81825 | − | 3.57948i | −0.409370 | − | 0.251851i | ||||
\(203\) | −2.41491 | − | 4.36341i | −0.169493 | − | 0.306251i | ||||
\(204\) | 6.71114 | + | 13.2864i | 0.469874 | + | 0.930231i | ||||
\(205\) | −1.32742 | − | 0.279108i | −0.0927113 | − | 0.0194938i | ||||
\(206\) | 9.96706 | − | 16.2009i | 0.694438 | − | 1.12877i | ||||
\(207\) | −16.3001 | −1.13294 | ||||||||
\(208\) | −4.29884 | − | 3.16960i | −0.298071 | − | 0.219772i | ||||
\(209\) | 19.3945i | 1.34155i | ||||||||
\(210\) | −5.40860 | + | 20.8945i | −0.373229 | + | 1.44186i | ||||
\(211\) | 9.48714 | 0.653122 | 0.326561 | − | 0.945176i | \(-0.394110\pi\) | ||||
0.326561 | + | 0.945176i | \(0.394110\pi\) | |||||||
\(212\) | −5.69467 | − | 11.2740i | −0.391112 | − | 0.774302i | ||||
\(213\) | − | 21.1485i | − | 1.44907i | ||||||
\(214\) | −6.24377 | + | 10.1489i | −0.426816 | + | 0.693766i | ||||
\(215\) | 26.5141 | + | 5.57494i | 1.80825 | + | 0.380208i | ||||
\(216\) | −0.399901 | + | 4.76085i | −0.0272098 | + | 0.323935i | ||||
\(217\) | −17.8423 | + | 9.87475i | −1.21122 | + | 0.670342i | ||||
\(218\) | −8.97949 | + | 14.5957i | −0.608168 | + | 0.988544i | ||||
\(219\) | −29.5202 | −1.99479 | ||||||||
\(220\) | 15.5518 | − | 4.14523i | 1.04850 | − | 0.279472i | ||||
\(221\) | − | 3.85229i | − | 0.259133i | ||||||
\(222\) | −14.4434 | − | 8.88582i | −0.969379 | − | 0.596377i | ||||
\(223\) | 28.0127i | 1.87587i | 0.346816 | + | 0.937933i | \(0.387263\pi\) | ||||
−0.346816 | + | 0.937933i | \(0.612737\pi\) | |||||||
\(224\) | 9.42698 | − | 11.6246i | 0.629867 | − | 0.776703i | ||||
\(225\) | −16.7265 | − | 7.35931i | −1.11510 | − | 0.490621i | ||||
\(226\) | 7.65604 | − | 12.4445i | 0.509272 | − | 0.827795i | ||||
\(227\) | −1.85392 | −0.123049 | −0.0615245 | − | 0.998106i | \(-0.519596\pi\) | ||||
−0.0615245 | + | 0.998106i | \(0.519596\pi\) | |||||||
\(228\) | −24.8176 | + | 12.5358i | −1.64359 | + | 0.830200i | ||||
\(229\) | −20.2457 | −1.33788 | −0.668938 | − | 0.743318i | \(-0.733251\pi\) | ||||
−0.668938 | + | 0.743318i | \(0.733251\pi\) | |||||||
\(230\) | −9.70372 | + | 10.2346i | −0.639845 | + | 0.674852i | ||||
\(231\) | 21.4914 | − | 11.8943i | 1.41403 | − | 0.782588i | ||||
\(232\) | −5.31272 | − | 0.446257i | −0.348797 | − | 0.0292982i | ||||
\(233\) | − | 2.35785i | − | 0.154468i | −0.997013 | − | 0.0772339i | \(-0.975391\pi\) | ||
0.997013 | − | 0.0772339i | \(-0.0246088\pi\) | |||||||
\(234\) | 3.61631 | − | 5.87812i | 0.236406 | − | 0.384265i | ||||
\(235\) | 15.1452 | + | 3.18448i | 0.987966 | + | 0.207733i | ||||
\(236\) | 2.48196 | − | 1.25367i | 0.161562 | − | 0.0816072i | ||||
\(237\) | − | 26.5867i | − | 1.72699i | ||||||
\(238\) | 10.7835 | + | 0.496911i | 0.698989 | + | 0.0322099i | ||||
\(239\) | 5.34718i | 0.345880i | 0.984932 | + | 0.172940i | \(0.0553267\pi\) | ||||
−0.984932 | + | 0.172940i | \(0.944673\pi\) | |||||||
\(240\) | 15.3563 | + | 17.2211i | 0.991245 | + | 1.11162i | ||||
\(241\) | 9.70134i | 0.624919i | 0.949931 | + | 0.312459i | \(0.101153\pi\) | ||||
−0.949931 | + | 0.312459i | \(0.898847\pi\) | |||||||
\(242\) | −2.35136 | − | 1.44659i | −0.151151 | − | 0.0929904i | ||||
\(243\) | 22.1112 | 1.41843 | ||||||||
\(244\) | 3.42765 | + | 6.78589i | 0.219433 | + | 0.434422i | ||||
\(245\) | 11.2689 | + | 10.8633i | 0.719946 | + | 0.694030i | ||||
\(246\) | −1.15965 | + | 1.88494i | −0.0739364 | + | 0.120180i | ||||
\(247\) | 7.19569 | 0.457851 | ||||||||
\(248\) | −1.82478 | + | 21.7241i | −0.115874 | + | 1.37948i | ||||
\(249\) | 35.0154 | 2.21901 | ||||||||
\(250\) | −14.5784 | + | 6.12127i | −0.922020 | + | 0.387143i | ||||
\(251\) | − | 14.7270i | − | 0.929563i | −0.885425 | − | 0.464782i | \(-0.846133\pi\) | ||
0.885425 | − | 0.464782i | \(-0.153867\pi\) | |||||||
\(252\) | 15.9878 | + | 10.8811i | 1.00714 | + | 0.685448i | ||||
\(253\) | 16.0509 | 1.00911 | ||||||||
\(254\) | 11.6338 | + | 7.15727i | 0.729967 | + | 0.449087i | ||||
\(255\) | −3.42434 | + | 16.2860i | −0.214440 | + | 1.01987i | ||||
\(256\) | −4.73029 | − | 15.2848i | −0.295643 | − | 0.955298i | ||||
\(257\) | 11.2700 | 0.703006 | 0.351503 | − | 0.936187i | \(-0.385671\pi\) | ||||
0.351503 | + | 0.936187i | \(0.385671\pi\) | |||||||
\(258\) | 23.1629 | − | 37.6501i | 1.44206 | − | 2.34399i | ||||
\(259\) | −10.7601 | + | 5.95514i | −0.668602 | + | 0.370034i | ||||
\(260\) | −1.53795 | − | 5.76998i | −0.0953796 | − | 0.357839i | ||||
\(261\) | − | 6.88907i | − | 0.426423i | ||||||
\(262\) | 15.0380 | − | 24.4434i | 0.929049 | − | 1.51012i | ||||
\(263\) | 14.2659 | 0.879672 | 0.439836 | − | 0.898078i | \(-0.355037\pi\) | ||||
0.439836 | + | 0.898078i | \(0.355037\pi\) | |||||||
\(264\) | 2.19798 | − | 26.1671i | 0.135276 | − | 1.61047i | ||||
\(265\) | 2.90569 | − | 13.8193i | 0.178495 | − | 0.848912i | ||||
\(266\) | −0.928180 | + | 20.1425i | −0.0569104 | + | 1.23501i | ||||
\(267\) | 18.1846i | 1.11288i | ||||||||
\(268\) | −24.4243 | + | 12.3371i | −1.49195 | + | 0.753607i | ||||
\(269\) | 19.6473 | 1.19792 | 0.598959 | − | 0.800780i | \(-0.295581\pi\) | ||||
0.598959 | + | 0.800780i | \(0.295581\pi\) | |||||||
\(270\) | −3.67516 | + | 3.87624i | −0.223663 | + | 0.235900i | ||||
\(271\) | −21.4339 | −1.30202 | −0.651008 | − | 0.759071i | \(-0.725654\pi\) | ||||
−0.651008 | + | 0.759071i | \(0.725654\pi\) | |||||||
\(272\) | 6.84852 | − | 9.28844i | 0.415252 | − | 0.563195i | ||||
\(273\) | −4.41298 | − | 7.97366i | −0.267086 | − | 0.482588i | ||||
\(274\) | −9.06482 | + | 14.7344i | −0.547626 | + | 0.890136i | ||||
\(275\) | 16.4708 | + | 7.24679i | 0.993226 | + | 0.436998i | ||||
\(276\) | 10.3746 | + | 20.5390i | 0.624475 | + | 1.23630i | ||||
\(277\) | 20.3225 | 1.22106 | 0.610530 | − | 0.791993i | \(-0.290957\pi\) | ||||
0.610530 | + | 0.791993i | \(0.290957\pi\) | |||||||
\(278\) | −0.131209 | + | 0.213273i | −0.00786940 | + | 0.0127913i | ||||
\(279\) | −28.1700 | −1.68649 | ||||||||
\(280\) | 16.3499 | − | 3.56081i | 0.977096 | − | 0.212799i | ||||
\(281\) | 6.60360 | 0.393938 | 0.196969 | − | 0.980410i | \(-0.436890\pi\) | ||||
0.196969 | + | 0.980410i | \(0.436890\pi\) | |||||||
\(282\) | 13.2310 | − | 21.5063i | 0.787894 | − | 1.28068i | ||||
\(283\) | 26.0188 | 1.54666 | 0.773330 | − | 0.634004i | \(-0.218590\pi\) | ||||
0.773330 | + | 0.634004i | \(0.218590\pi\) | |||||||
\(284\) | −14.6351 | + | 7.39243i | −0.868435 | + | 0.438660i | ||||
\(285\) | −30.4206 | − | 6.39632i | −1.80196 | − | 0.378886i | ||||
\(286\) | −3.56102 | + | 5.78825i | −0.210568 | + | 0.342266i | ||||
\(287\) | 0.777178 | + | 1.40425i | 0.0458753 | + | 0.0828905i | ||||
\(288\) | 19.1695 | − | 7.74403i | 1.12957 | − | 0.456321i | ||||
\(289\) | −8.67642 | −0.510377 | ||||||||
\(290\) | −4.32556 | − | 4.10118i | −0.254006 | − | 0.240830i | ||||
\(291\) | 16.1575 | 0.947168 | ||||||||
\(292\) | 10.3187 | + | 20.4285i | 0.603859 | + | 1.19549i | ||||
\(293\) | 23.5795i | 1.37753i | 0.724984 | + | 0.688765i | \(0.241847\pi\) | ||||
−0.724984 | + | 0.688765i | \(0.758153\pi\) | |||||||
\(294\) | 22.8894 | − | 11.3245i | 1.33494 | − | 0.660456i | ||||
\(295\) | 3.04230 | + | 0.639683i | 0.177129 | + | 0.0372438i | ||||
\(296\) | −1.10047 | + | 13.1011i | −0.0639633 | + | 0.761487i | ||||
\(297\) | 6.07906 | 0.352743 | ||||||||
\(298\) | 0.206830 | − | 0.336191i | 0.0119813 | − | 0.0194750i | ||||
\(299\) | − | 5.95514i | − | 0.344394i | ||||||
\(300\) | 1.37285 | + | 25.7603i | 0.0792614 | + | 1.48727i | ||||
\(301\) | −15.5234 | − | 28.0487i | −0.894755 | − | 1.61670i | ||||
\(302\) | −3.52257 | + | 5.72575i | −0.202701 | + | 0.329480i | ||||
\(303\) | −12.4608 | −0.715854 | ||||||||
\(304\) | 17.3499 | + | 12.7924i | 0.995085 | + | 0.733692i | ||||
\(305\) | −1.74895 | + | 8.31790i | −0.100145 | + | 0.476282i | ||||
\(306\) | 12.7008 | + | 7.81372i | 0.726055 | + | 0.446680i | ||||
\(307\) | −8.34981 | −0.476549 | −0.238274 | − | 0.971198i | \(-0.576582\pi\) | ||||
−0.238274 | + | 0.971198i | \(0.576582\pi\) | |||||||
\(308\) | −15.7433 | − | 10.7148i | −0.897060 | − | 0.610531i | ||||
\(309\) | − | 34.6971i | − | 1.97385i | ||||||
\(310\) | −16.7700 | + | 17.6876i | −0.952475 | + | 1.00459i | ||||
\(311\) | −3.79343 | −0.215105 | −0.107553 | − | 0.994199i | \(-0.534301\pi\) | ||||
−0.107553 | + | 0.994199i | \(0.534301\pi\) | |||||||
\(312\) | −9.70842 | − | 0.815487i | −0.549631 | − | 0.0461679i | ||||
\(313\) | −21.8977 | −1.23773 | −0.618867 | − | 0.785496i | \(-0.712408\pi\) | ||||
−0.618867 | + | 0.785496i | \(0.712408\pi\) | |||||||
\(314\) | −2.20250 | + | 3.58005i | −0.124294 | + | 0.202034i | ||||
\(315\) | 6.35337 | + | 20.6675i | 0.357972 | + | 1.16448i | ||||
\(316\) | −18.3984 | + | 9.29333i | −1.03499 | + | 0.522791i | ||||
\(317\) | −26.3887 | −1.48213 | −0.741067 | − | 0.671431i | \(-0.765680\pi\) | ||||
−0.741067 | + | 0.671431i | \(0.765680\pi\) | |||||||
\(318\) | −19.6234 | − | 12.0726i | −1.10043 | − | 0.677000i | ||||
\(319\) | 6.78374i | 0.379816i | ||||||||
\(320\) | 6.54953 | − | 16.6464i | 0.366130 | − | 0.930564i | ||||
\(321\) | 21.7357i | 1.21317i | ||||||||
\(322\) | 16.6699 | + | 0.768159i | 0.928974 | + | 0.0428078i | ||||
\(323\) | 15.5476i | 0.865094i | ||||||||
\(324\) | −5.95761 | − | 11.7946i | −0.330978 | − | 0.655253i | ||||
\(325\) | 2.68868 | − | 6.11093i | 0.149141 | − | 0.338974i | ||||
\(326\) | 6.24377 | − | 10.1489i | 0.345811 | − | 0.562097i | ||||
\(327\) | 31.2592i | 1.72864i | ||||||||
\(328\) | 1.70977 | + | 0.143617i | 0.0944060 | + | 0.00792991i | ||||
\(329\) | −8.86720 | − | 16.0218i | −0.488865 | − | 0.883312i | ||||
\(330\) | 20.1998 | − | 21.3050i | 1.11196 | − | 1.17280i | ||||
\(331\) | −7.51497 | −0.413060 | −0.206530 | − | 0.978440i | \(-0.566217\pi\) | ||||
−0.206530 | + | 0.978440i | \(0.566217\pi\) | |||||||
\(332\) | −12.2396 | − | 24.2312i | −0.671733 | − | 1.32986i | ||||
\(333\) | −16.9884 | −0.930957 | ||||||||
\(334\) | −9.96706 | + | 16.2009i | −0.545373 | + | 0.886475i | ||||
\(335\) | −29.9384 | − | 6.29495i | −1.63571 | − | 0.343930i | ||||
\(336\) | 3.53504 | − | 27.0710i | 0.192852 | − | 1.47684i | ||||
\(337\) | 4.69960i | 0.256004i | 0.991774 | + | 0.128002i | \(0.0408563\pi\) | ||||
−0.991774 | + | 0.128002i | \(0.959144\pi\) | |||||||
\(338\) | −13.5112 | − | 8.31230i | −0.734912 | − | 0.452129i | ||||
\(339\) | − | 26.6521i | − | 1.44754i | ||||||
\(340\) | 12.4671 | − | 3.32303i | 0.676125 | − | 0.180216i | ||||
\(341\) | 27.7392 | 1.50216 | ||||||||
\(342\) | −14.5953 | + | 23.7238i | −0.789221 | + | 1.28284i | ||||
\(343\) | 1.00596 | − | 18.4929i | 0.0543166 | − | 0.998524i | ||||
\(344\) | −34.1510 | − | 2.86862i | −1.84130 | − | 0.154665i | ||||
\(345\) | −5.29358 | + | 25.1760i | −0.284997 | + | 1.35543i | ||||
\(346\) | 7.84889 | − | 12.7580i | 0.421959 | − | 0.685872i | ||||
\(347\) | − | 9.75889i | − | 0.523885i | −0.965084 | − | 0.261942i | \(-0.915637\pi\) | ||
0.965084 | − | 0.261942i | \(-0.0843630\pi\) | |||||||
\(348\) | −8.68059 | + | 4.38470i | −0.465329 | + | 0.235044i | ||||
\(349\) | −6.30167 | −0.337321 | −0.168660 | − | 0.985674i | \(-0.553944\pi\) | ||||
−0.168660 | + | 0.985674i | \(0.553944\pi\) | |||||||
\(350\) | 16.7591 | + | 8.31450i | 0.895814 | + | 0.444429i | ||||
\(351\) | − | 2.25543i | − | 0.120386i | ||||||
\(352\) | −18.8764 | + | 7.62562i | −1.00611 | + | 0.406447i | ||||
\(353\) | 2.43058 | 0.129367 | 0.0646833 | − | 0.997906i | \(-0.479396\pi\) | ||||
0.0646833 | + | 0.997906i | \(0.479396\pi\) | |||||||
\(354\) | 2.65777 | − | 4.32007i | 0.141259 | − | 0.229609i | ||||
\(355\) | −17.9392 | − | 3.77196i | −0.952116 | − | 0.200195i | ||||
\(356\) | 12.5841 | − | 6.35639i | 0.666953 | − | 0.336888i | ||||
\(357\) | 17.2286 | − | 9.53507i | 0.911833 | − | 0.504650i | ||||
\(358\) | 2.33607 | + | 1.43719i | 0.123465 | + | 0.0759577i | ||||
\(359\) | 7.92321i | 0.418171i | 0.977897 | + | 0.209086i | \(0.0670487\pi\) | ||||
−0.977897 | + | 0.209086i | \(0.932951\pi\) | |||||||
\(360\) | 22.1428 | + | 6.63291i | 1.16703 | + | 0.349585i | ||||
\(361\) | −10.0415 | −0.528498 | ||||||||
\(362\) | 14.4479 | + | 8.88855i | 0.759362 | + | 0.467172i | ||||
\(363\) | −5.03584 | −0.264313 | ||||||||
\(364\) | −3.97536 | + | 5.84104i | −0.208365 | + | 0.306154i | ||||
\(365\) | −5.26511 | + | 25.0406i | −0.275588 | + | 1.31068i | ||||
\(366\) | 11.8114 | + | 7.26659i | 0.617394 | + | 0.379831i | ||||
\(367\) | 15.9826i | 0.834287i | 0.908841 | + | 0.417143i | \(0.136969\pi\) | ||||
−0.908841 | + | 0.417143i | \(0.863031\pi\) | |||||||
\(368\) | 10.5869 | − | 14.3587i | 0.551881 | − | 0.748501i | ||||
\(369\) | 2.21707i | 0.115416i | ||||||||
\(370\) | −10.1135 | + | 10.6668i | −0.525774 | + | 0.554540i | ||||
\(371\) | −14.6191 | + | 8.09089i | −0.758988 | + | 0.420058i | ||||
\(372\) | 17.9294 | + | 35.4956i | 0.929595 | + | 1.84036i | ||||
\(373\) | −20.9336 | −1.08390 | −0.541951 | − | 0.840410i | \(-0.682314\pi\) | ||||
−0.541951 | + | 0.840410i | \(0.682314\pi\) | |||||||
\(374\) | −12.5066 | − | 7.69425i | −0.646700 | − | 0.397860i | ||||
\(375\) | −16.7987 | + | 23.4446i | −0.867483 | + | 1.21068i | ||||
\(376\) | −19.5076 | − | 1.63859i | −1.00603 | − | 0.0845041i | ||||
\(377\) | 2.51688 | 0.129626 | ||||||||
\(378\) | 6.31349 | + | 0.290930i | 0.324731 | + | 0.0149638i | ||||
\(379\) | 13.1532 | 0.675636 | 0.337818 | − | 0.941211i | \(-0.390311\pi\) | ||||
0.337818 | + | 0.941211i | \(0.390311\pi\) | |||||||
\(380\) | 6.20709 | + | 23.2874i | 0.318417 | + | 1.19462i | ||||
\(381\) | 24.9157 | 1.27647 | ||||||||
\(382\) | −7.63727 | + | 12.4140i | −0.390757 | + | 0.635154i | ||||
\(383\) | − | 22.4872i | − | 1.14904i | −0.818490 | − | 0.574521i | \(-0.805188\pi\) | ||
0.818490 | − | 0.574521i | \(-0.194812\pi\) | |||||||
\(384\) | −21.9587 | − | 19.2257i | −1.12058 | − | 0.981107i | ||||
\(385\) | −6.25623 | − | 20.3515i | −0.318847 | − | 1.03721i | ||||
\(386\) | −5.90879 | + | 9.60442i | −0.300749 | + | 0.488852i | ||||
\(387\) | − | 44.2841i | − | 2.25109i | ||||||
\(388\) | −5.64781 | − | 11.1812i | −0.286724 | − | 0.567642i | ||||
\(389\) | − | 7.58914i | − | 0.384785i | −0.981318 | − | 0.192392i | \(-0.938375\pi\) | ||
0.981318 | − | 0.192392i | \(-0.0616246\pi\) | |||||||
\(390\) | −7.90450 | − | 7.49446i | −0.400260 | − | 0.379497i | ||||
\(391\) | 12.8672 | 0.650721 | ||||||||
\(392\) | −15.8377 | − | 11.8814i | −0.799923 | − | 0.600102i | ||||
\(393\) | − | 52.3499i | − | 2.64070i | ||||||
\(394\) | −11.0335 | − | 6.78796i | −0.555858 | − | 0.341973i | ||||
\(395\) | −22.5522 | − | 4.74189i | −1.13472 | − | 0.238590i | ||||
\(396\) | −11.8606 | − | 23.4810i | −0.596017 | − | 1.17996i | ||||
\(397\) | − | 4.23587i | − | 0.212592i | −0.994335 | − | 0.106296i | \(-0.966101\pi\) | ||
0.994335 | − | 0.106296i | \(-0.0338992\pi\) | |||||||
\(398\) | 21.8314 | + | 13.4310i | 1.09431 | + | 0.673235i | ||||
\(399\) | 17.8106 | + | 32.1813i | 0.891644 | + | 1.61108i | ||||
\(400\) | 17.3467 | − | 9.95451i | 0.867335 | − | 0.497725i | ||||
\(401\) | −6.90753 | −0.344946 | −0.172473 | − | 0.985014i | \(-0.555176\pi\) | ||||
−0.172473 | + | 0.985014i | \(0.555176\pi\) | |||||||
\(402\) | −26.1545 | + | 42.5126i | −1.30447 | + | 2.12034i | ||||
\(403\) | − | 10.2917i | − | 0.512667i | ||||||
\(404\) | 4.35565 | + | 8.62308i | 0.216702 | + | 0.429014i | ||||
\(405\) | 3.03985 | − | 14.4573i | 0.151051 | − | 0.718391i | ||||
\(406\) | −0.324655 | + | 7.04534i | −0.0161123 | + | 0.349654i | ||||
\(407\) | 16.7286 | 0.829207 | ||||||||
\(408\) | 1.76201 | − | 20.9769i | 0.0872326 | − | 1.03851i | ||||
\(409\) | 3.86544i | 0.191134i | 0.995423 | + | 0.0955668i | \(0.0304664\pi\) | ||||
−0.995423 | + | 0.0955668i | \(0.969534\pi\) | |||||||
\(410\) | 1.39207 | + | 1.31986i | 0.0687497 | + | 0.0651833i | ||||
\(411\) | 31.5563i | 1.55656i | ||||||||
\(412\) | −24.0110 | + | 12.1283i | −1.18294 | + | 0.597519i | ||||
\(413\) | −1.78120 | − | 3.21838i | −0.0876470 | − | 0.158366i | ||||
\(414\) | 19.6338 | + | 12.0790i | 0.964946 | + | 0.593650i | ||||
\(415\) | 6.24520 | − | 29.7018i | 0.306565 | − | 1.45800i | ||||
\(416\) | 2.82923 | + | 7.00345i | 0.138714 | + | 0.343372i | ||||
\(417\) | 0.456763i | 0.0223678i | ||||||||
\(418\) | 14.3721 | − | 23.3611i | 0.702962 | − | 1.14263i | ||||
\(419\) | − | 12.9925i | − | 0.634726i | −0.948304 | − | 0.317363i | \(-0.897203\pi\) | ||
0.948304 | − | 0.317363i | \(-0.102797\pi\) | |||||||
\(420\) | 21.9984 | − | 21.1599i | 1.07341 | − | 1.03250i | ||||
\(421\) | − | 20.4156i | − | 0.994997i | −0.867465 | − | 0.497499i | \(-0.834252\pi\) | ||
0.867465 | − | 0.497499i | \(-0.165748\pi\) | |||||||
\(422\) | −11.4274 | − | 7.03033i | −0.556279 | − | 0.342231i | ||||
\(423\) | − | 25.2957i | − | 1.22992i | ||||||
\(424\) | −1.49514 | + | 17.7997i | −0.0726103 | + | 0.864430i | ||||
\(425\) | 13.2038 | + | 5.80939i | 0.640479 | + | 0.281797i | ||||
\(426\) | −15.6719 | + | 25.4738i | −0.759304 | + | 1.23421i | ||||
\(427\) | 8.79934 | − | 4.86995i | 0.425830 | − | 0.235674i | ||||
\(428\) | 15.0415 | − | 7.59767i | 0.727057 | − | 0.367247i | ||||
\(429\) | 12.3966i | 0.598511i | ||||||||
\(430\) | −27.8054 | − | 26.3631i | −1.34090 | − | 1.27134i | ||||
\(431\) | − | 3.54463i | − | 0.170739i | −0.996349 | − | 0.0853695i | \(-0.972793\pi\) | ||
0.996349 | − | 0.0853695i | \(-0.0272071\pi\) | |||||||
\(432\) | 4.00966 | − | 5.43818i | 0.192915 | − | 0.261645i | ||||
\(433\) | −24.1539 | −1.16076 | −0.580382 | − | 0.814344i | \(-0.697097\pi\) | ||||
−0.580382 | + | 0.814344i | \(0.697097\pi\) | |||||||
\(434\) | 28.8090 | + | 1.32754i | 1.38287 | + | 0.0637239i | ||||
\(435\) | −10.6404 | − | 2.23728i | −0.510167 | − | 0.107269i | ||||
\(436\) | 21.6319 | − | 10.9266i | 1.03598 | − | 0.523289i | ||||
\(437\) | 24.0346i | 1.14973i | ||||||||
\(438\) | 35.5577 | + | 21.8756i | 1.69901 | + | 1.04526i | ||||
\(439\) | −8.10213 | −0.386694 | −0.193347 | − | 0.981130i | \(-0.561934\pi\) | ||||
−0.193347 | + | 0.981130i | \(0.561934\pi\) | |||||||
\(440\) | −21.8042 | − | 6.53149i | −1.03948 | − | 0.311377i | ||||
\(441\) | 13.5859 | − | 21.6781i | 0.646946 | − | 1.03229i | ||||
\(442\) | −2.85469 | + | 4.64015i | −0.135784 | + | 0.220709i | ||||
\(443\) | 26.0995i | 1.24002i | 0.784592 | + | 0.620012i | \(0.212872\pi\) | ||||
−0.784592 | + | 0.620012i | \(0.787128\pi\) | |||||||
\(444\) | 10.8126 | + | 21.4063i | 0.513144 | + | 1.01590i | ||||
\(445\) | 15.4251 | + | 3.24333i | 0.731219 | + | 0.153749i | ||||
\(446\) | 20.7584 | − | 33.7417i | 0.982941 | − | 1.59772i | ||||
\(447\) | − | 0.720012i | − | 0.0340554i | ||||||
\(448\) | −19.9693 | + | 7.01631i | −0.943459 | + | 0.331490i | ||||
\(449\) | 14.9898 | 0.707414 | 0.353707 | − | 0.935356i | \(-0.384921\pi\) | ||||
0.353707 | + | 0.935356i | \(0.384921\pi\) | |||||||
\(450\) | 14.6939 | + | 21.2594i | 0.692676 | + | 1.00218i | ||||
\(451\) | − | 2.18318i | − | 0.102802i | ||||||
\(452\) | −18.4437 | + | 9.31618i | −0.867518 | + | 0.438196i | ||||
\(453\) | 12.2627i | 0.576152i | ||||||||
\(454\) | 2.23308 | + | 1.37383i | 0.104804 | + | 0.0644769i | ||||
\(455\) | −7.55074 | + | 2.32117i | −0.353984 | + | 0.108818i | ||||
\(456\) | 39.1827 | + | 3.29127i | 1.83490 | + | 0.154128i | ||||
\(457\) | − | 38.8078i | − | 1.81535i | −0.419670 | − | 0.907677i | \(-0.637854\pi\) | ||
0.419670 | − | 0.907677i | \(-0.362146\pi\) | |||||||
\(458\) | 24.3863 | + | 15.0029i | 1.13950 | + | 0.701038i | ||||
\(459\) | 4.87328 | 0.227465 | ||||||||
\(460\) | 19.2726 | − | 5.13697i | 0.898588 | − | 0.239512i | ||||
\(461\) | −28.0610 | −1.30693 | −0.653466 | − | 0.756956i | \(-0.726686\pi\) | ||||
−0.653466 | + | 0.756956i | \(0.726686\pi\) | |||||||
\(462\) | −34.7009 | − | 1.59904i | −1.61443 | − | 0.0743942i | ||||
\(463\) | −9.44403 | −0.438901 | −0.219451 | − | 0.975624i | \(-0.570427\pi\) | ||||
−0.219451 | + | 0.975624i | \(0.570427\pi\) | |||||||
\(464\) | 6.06857 | + | 4.47445i | 0.281726 | + | 0.207721i | ||||
\(465\) | −9.14841 | + | 43.5093i | −0.424247 | + | 2.01770i | ||||
\(466\) | −1.74726 | + | 2.84007i | −0.0809401 | + | 0.131564i | ||||
\(467\) | 19.1643 | 0.886818 | 0.443409 | − | 0.896319i | \(-0.353769\pi\) | ||||
0.443409 | + | 0.896319i | \(0.353769\pi\) | |||||||
\(468\) | −8.71182 | + | 4.40047i | −0.402704 | + | 0.203412i | ||||
\(469\) | 17.5283 | + | 31.6713i | 0.809382 | + | 1.46244i | ||||
\(470\) | −15.8829 | − | 15.0590i | −0.732622 | − | 0.694618i | ||||
\(471\) | 7.66731i | 0.353291i | ||||||||
\(472\) | −3.91858 | − | 0.329152i | −0.180367 | − | 0.0151505i | ||||
\(473\) | 43.6070i | 2.00505i | ||||||||
\(474\) | −19.7018 | + | 32.0241i | −0.904932 | + | 1.47092i | ||||
\(475\) | −10.8514 | + | 24.6634i | −0.497895 | + | 1.13164i | ||||
\(476\) | −12.6207 | − | 8.58950i | −0.578467 | − | 0.393699i | ||||
\(477\) | −23.0811 | −1.05681 | ||||||||
\(478\) | 3.96247 | − | 6.44077i | 0.181239 | − | 0.294594i | ||||
\(479\) | 19.8597 | 0.907414 | 0.453707 | − | 0.891151i | \(-0.350101\pi\) | ||||
0.453707 | + | 0.891151i | \(0.350101\pi\) | |||||||
\(480\) | −5.73544 | − | 32.1227i | −0.261786 | − | 1.46620i | ||||
\(481\) | − | 6.20660i | − | 0.282996i | ||||||
\(482\) | 7.18907 | − | 11.6854i | 0.327453 | − | 0.532257i | ||||
\(483\) | 26.6332 | − | 14.7400i | 1.21185 | − | 0.670693i | ||||
\(484\) | 1.76027 | + | 3.48489i | 0.0800123 | + | 0.158404i | ||||
\(485\) | 2.88178 | − | 13.7056i | 0.130855 | − | 0.622338i | ||||
\(486\) | −26.6333 | − | 16.3852i | −1.20811 | − | 0.743248i | ||||
\(487\) | −2.59554 | −0.117615 | −0.0588075 | − | 0.998269i | \(-0.518730\pi\) | ||||
−0.0588075 | + | 0.998269i | \(0.518730\pi\) | |||||||
\(488\) | 0.899932 | − | 10.7137i | 0.0407380 | − | 0.484988i | ||||
\(489\) | − | 21.7357i | − | 0.982922i | ||||||
\(490\) | −5.52352 | − | 21.4357i | −0.249527 | − | 0.968368i | ||||
\(491\) | 16.6118 | 0.749679 | 0.374839 | − | 0.927090i | \(-0.377698\pi\) | ||||
0.374839 | + | 0.927090i | \(0.377698\pi\) | |||||||
\(492\) | 2.79363 | − | 1.41111i | 0.125947 | − | 0.0636176i | ||||
\(493\) | 5.43818i | 0.244923i | ||||||||
\(494\) | −8.66734 | − | 5.33228i | −0.389962 | − | 0.239911i | ||||
\(495\) | 6.05183 | − | 28.7821i | 0.272009 | − | 1.29366i | ||||
\(496\) | 18.2964 | − | 24.8149i | 0.821532 | − | 1.11422i | ||||
\(497\) | 10.5030 | + | 18.9776i | 0.471125 | + | 0.851260i | ||||
\(498\) | −42.1766 | − | 25.9477i | −1.88998 | − | 1.16275i | ||||
\(499\) | 12.8033 | 0.573155 | 0.286578 | − | 0.958057i | \(-0.407482\pi\) | ||||
0.286578 | + | 0.958057i | \(0.407482\pi\) | |||||||
\(500\) | 22.0960 | + | 3.42998i | 0.988165 | + | 0.153393i | ||||
\(501\) | 34.6971i | 1.55015i | ||||||||
\(502\) | −10.9133 | + | 17.7390i | −0.487085 | + | 0.791730i | ||||
\(503\) | − | 7.66175i | − | 0.341621i | −0.985304 | − | 0.170810i | \(-0.945361\pi\) | ||
0.985304 | − | 0.170810i | \(-0.0546385\pi\) | |||||||
\(504\) | −11.1942 | − | 24.9541i | −0.498631 | − | 1.11154i | ||||
\(505\) | −2.22246 | + | 10.5699i | −0.0988980 | + | 0.470353i | ||||
\(506\) | −19.3336 | − | 11.8943i | −0.859481 | − | 0.528767i | ||||
\(507\) | −28.9366 | −1.28512 | ||||||||
\(508\) | −8.70925 | − | 17.2421i | −0.386410 | − | 0.764995i | ||||
\(509\) | 8.30655 | 0.368181 | 0.184091 | − | 0.982909i | \(-0.441066\pi\) | ||||
0.184091 | + | 0.982909i | \(0.441066\pi\) | |||||||
\(510\) | 16.1932 | − | 17.0792i | 0.717046 | − | 0.756278i | ||||
\(511\) | 26.4899 | − | 14.6607i | 1.17184 | − | 0.648551i | ||||
\(512\) | −5.62888 | + | 21.9161i | −0.248764 | + | 0.968564i | ||||
\(513\) | 9.10281i | 0.401899i | ||||||||
\(514\) | −13.5750 | − | 8.35154i | −0.598766 | − | 0.368370i | ||||
\(515\) | −29.4318 | − | 6.18843i | −1.29692 | − | 0.272695i | ||||
\(516\) | −55.8003 | + | 28.1856i | −2.45647 | + | 1.24080i | ||||
\(517\) | 24.9089i | 1.09549i | ||||||||
\(518\) | 17.3737 | + | 0.800595i | 0.763358 | + | 0.0351761i | ||||
\(519\) | − | 27.3234i | − | 1.19936i | ||||||
\(520\) | −2.42329 | + | 8.08973i | −0.106268 | + | 0.354758i | ||||
\(521\) | 19.9456i | 0.873833i | 0.899502 | + | 0.436916i | \(0.143929\pi\) | ||||
−0.899502 | + | 0.436916i | \(0.856071\pi\) | |||||||
\(522\) | −5.10506 | + | 8.29800i | −0.223443 | + | 0.363194i | ||||
\(523\) | −21.9379 | −0.959276 | −0.479638 | − | 0.877467i | \(-0.659232\pi\) | ||||
−0.479638 | + | 0.877467i | \(0.659232\pi\) | |||||||
\(524\) | −36.2270 | + | 18.2988i | −1.58258 | + | 0.799387i | ||||
\(525\) | 33.9849 | − | 3.10104i | 1.48322 | − | 0.135341i | ||||
\(526\) | −17.1835 | − | 10.5716i | −0.749237 | − | 0.460942i | ||||
\(527\) | 22.2372 | 0.968666 | ||||||||
\(528\) | −22.0383 | + | 29.8899i | −0.959095 | + | 1.30079i | ||||
\(529\) | −3.10900 | −0.135174 | ||||||||
\(530\) | −13.7406 | + | 14.4923i | −0.596852 | + | 0.629507i | ||||
\(531\) | − | 5.08127i | − | 0.220508i | ||||||
\(532\) | 16.0443 | − | 23.5741i | 0.695611 | − | 1.02207i | ||||
\(533\) | −0.809994 | −0.0350847 | ||||||||
\(534\) | 13.4755 | − | 21.9037i | 0.583141 | − | 0.947865i | ||||
\(535\) | 18.4373 | + | 3.87669i | 0.797114 | + | 0.167604i | ||||
\(536\) | 38.5617 | + | 3.23910i | 1.66561 | + | 0.139908i | ||||
\(537\) | 5.00311 | 0.215900 | ||||||||
\(538\) | −23.6655 | − | 14.5594i | −1.02029 | − | 0.627701i | ||||
\(539\) | −13.3781 | + | 21.3466i | −0.576237 | + | 0.919465i | ||||
\(540\) | 7.29923 | − | 1.94556i | 0.314109 | − | 0.0837236i | ||||
\(541\) | 23.9613i | 1.03018i | 0.857137 | + | 0.515088i | \(0.172241\pi\) | ||||
−0.857137 | + | 0.515088i | \(0.827759\pi\) | |||||||
\(542\) | 25.8175 | + | 15.8833i | 1.10896 | + | 0.682247i | ||||
\(543\) | 30.9426 | 1.32788 | ||||||||
\(544\) | −15.1322 | + | 6.11308i | −0.648790 | + | 0.262096i | ||||
\(545\) | 26.5156 | + | 5.57526i | 1.13580 | + | 0.238818i | ||||
\(546\) | −0.593272 | + | 12.8746i | −0.0253897 | + | 0.550982i | ||||
\(547\) | 8.98695i | 0.384254i | 0.981370 | + | 0.192127i | \(0.0615386\pi\) | ||||
−0.981370 | + | 0.192127i | \(0.938461\pi\) | |||||||
\(548\) | 21.8375 | − | 11.0304i | 0.932851 | − | 0.471197i | ||||
\(549\) | 13.8926 | 0.592923 | ||||||||
\(550\) | −14.4692 | − | 20.9344i | −0.616969 | − | 0.892644i | ||||
\(551\) | −10.1580 | −0.432745 | ||||||||
\(552\) | 2.72384 | − | 32.4275i | 0.115934 | − | 1.38021i | ||||
\(553\) | 13.2038 | + | 23.8575i | 0.561483 | + | 1.01452i | ||||
\(554\) | −24.4788 | − | 15.0597i | −1.04000 | − | 0.639827i | ||||
\(555\) | −5.51710 | + | 26.2390i | −0.234188 | + | 1.11379i | ||||
\(556\) | 0.316087 | − | 0.159660i | 0.0134051 | − | 0.00677111i | ||||
\(557\) | −8.37113 | −0.354696 | −0.177348 | − | 0.984148i | \(-0.556752\pi\) | ||||
−0.177348 | + | 0.984148i | \(0.556752\pi\) | |||||||
\(558\) | 33.9312 | + | 20.8750i | 1.43642 | + | 0.883710i | ||||
\(559\) | 16.1789 | 0.684295 | ||||||||
\(560\) | −22.3325 | − | 7.82687i | −0.943720 | − | 0.330746i | ||||
\(561\) | −26.7851 | −1.13087 | ||||||||
\(562\) | −7.95415 | − | 4.89352i | −0.335526 | − | 0.206421i | ||||
\(563\) | −26.2152 | −1.10484 | −0.552420 | − | 0.833566i | \(-0.686295\pi\) | ||||
−0.552420 | + | 0.833566i | \(0.686295\pi\) | |||||||
\(564\) | −31.8739 | + | 16.1000i | −1.34213 | + | 0.677932i | ||||
\(565\) | −22.6076 | − | 4.75355i | −0.951110 | − | 0.199983i | ||||
\(566\) | −31.3402 | − | 19.2810i | −1.31733 | − | 0.810439i | ||||
\(567\) | −15.2941 | + | 8.46447i | −0.642293 | + | 0.355474i | ||||
\(568\) | 23.1063 | + | 1.94088i | 0.969521 | + | 0.0814377i | ||||
\(569\) | 31.1843 | 1.30732 | 0.653658 | − | 0.756790i | \(-0.273234\pi\) | ||||
0.653658 | + | 0.756790i | \(0.273234\pi\) | |||||||
\(570\) | 31.9022 | + | 30.2473i | 1.33624 | + | 1.26692i | ||||
\(571\) | −45.6053 | −1.90852 | −0.954261 | − | 0.298974i | \(-0.903356\pi\) | ||||
−0.954261 | + | 0.298974i | \(0.903356\pi\) | |||||||
\(572\) | 8.57862 | − | 4.33319i | 0.358690 | − | 0.181180i | ||||
\(573\) | 26.5867i | 1.11068i | ||||||||
\(574\) | 0.104482 | − | 2.26737i | 0.00436099 | − | 0.0946381i | ||||
\(575\) | 20.4114 | + | 8.98056i | 0.851213 | + | 0.374515i | ||||
\(576\) | −28.8286 | − | 4.87749i | −1.20119 | − | 0.203229i | ||||
\(577\) | 24.1057 | 1.00353 | 0.501766 | − | 0.865003i | \(-0.332684\pi\) | ||||
0.501766 | + | 0.865003i | \(0.332684\pi\) | |||||||
\(578\) | 10.4509 | + | 6.42956i | 0.434700 | + | 0.267434i | ||||
\(579\) | 20.5696i | 0.854841i | ||||||||
\(580\) | 2.17109 | + | 8.14535i | 0.0901495 | + | 0.338217i | ||||
\(581\) | −31.4209 | + | 17.3898i | −1.30356 | + | 0.721449i | ||||
\(582\) | −19.4620 | − | 11.9733i | −0.806724 | − | 0.496309i | ||||
\(583\) | 22.7282 | 0.941306 | ||||||||
\(584\) | 2.70919 | − | 32.2531i | 0.112107 | − | 1.33464i | ||||
\(585\) | −10.6786 | − | 2.24533i | −0.441508 | − | 0.0928329i | ||||
\(586\) | 17.4733 | − | 28.4020i | 0.721817 | − | 1.17327i | ||||
\(587\) | 14.6387 | 0.604205 | 0.302103 | − | 0.953275i | \(-0.402311\pi\) | ||||
0.302103 | + | 0.953275i | \(0.402311\pi\) | |||||||
\(588\) | −35.9626 | − | 3.32142i | −1.48307 | − | 0.136973i | ||||
\(589\) | 41.5368i | 1.71150i | ||||||||
\(590\) | −3.19047 | − | 3.02497i | −0.131350 | − | 0.124536i | ||||
\(591\) | −23.6301 | −0.972013 | ||||||||
\(592\) | 11.0340 | − | 14.9650i | 0.453493 | − | 0.615059i | ||||
\(593\) | 9.32979 | 0.383129 | 0.191564 | − | 0.981480i | \(-0.438644\pi\) | ||||
0.191564 | + | 0.981480i | \(0.438644\pi\) | |||||||
\(594\) | −7.32233 | − | 4.50482i | −0.300439 | − | 0.184835i | ||||
\(595\) | −5.01531 | − | 16.3148i | −0.205608 | − | 0.668841i | ||||
\(596\) | −0.498260 | + | 0.251679i | −0.0204095 | + | 0.0103092i | ||||
\(597\) | 46.7557 | 1.91358 | ||||||||
\(598\) | −4.41298 | + | 7.17307i | −0.180460 | + | 0.293329i | ||||
\(599\) | − | 48.3192i | − | 1.97427i | −0.159893 | − | 0.987134i | \(-0.551115\pi\) | ||
0.159893 | − | 0.987134i | \(-0.448885\pi\) | |||||||
\(600\) | 17.4358 | − | 32.0461i | 0.711812 | − | 1.30828i | ||||
\(601\) | 7.63740i | 0.311536i | 0.987794 | + | 0.155768i | \(0.0497852\pi\) | ||||
−0.987794 | + | 0.155768i | \(0.950215\pi\) | |||||||
\(602\) | −2.08693 | + | 45.2886i | −0.0850571 | + | 1.84583i | ||||
\(603\) | 50.0034i | 2.03630i | ||||||||
\(604\) | 8.48599 | − | 4.28640i | 0.345290 | − | 0.174411i | ||||
\(605\) | −0.898172 | + | 4.27165i | −0.0365159 | + | 0.173667i | ||||
\(606\) | 15.0093 | + | 9.23393i | 0.609709 | + | 0.375103i | ||||
\(607\) | − | 38.2619i | − | 1.55300i | −0.630116 | − | 0.776501i | \(-0.716993\pi\) | ||
0.630116 | − | 0.776501i | \(-0.283007\pi\) | |||||||
\(608\) | −11.4186 | − | 28.2656i | −0.463087 | − | 1.14632i | ||||
\(609\) | 6.22971 | + | 11.2562i | 0.252440 | + | 0.456125i | ||||
\(610\) | 8.27052 | − | 8.72302i | 0.334864 | − | 0.353185i | ||||
\(611\) | 9.24163 | 0.373876 | ||||||||
\(612\) | −9.50804 | − | 18.8235i | −0.384340 | − | 0.760896i | ||||
\(613\) | 17.0330 | 0.687955 | 0.343977 | − | 0.938978i | \(-0.388226\pi\) | ||||
0.343977 | + | 0.938978i | \(0.388226\pi\) | |||||||
\(614\) | 10.0575 | + | 6.18753i | 0.405887 | + | 0.249708i | ||||
\(615\) | 3.42434 | + | 0.720012i | 0.138083 | + | 0.0290337i | ||||
\(616\) | 11.0231 | + | 24.5726i | 0.444132 | + | 0.990056i | ||||
\(617\) | − | 5.71269i | − | 0.229984i | −0.993366 | − | 0.114992i | \(-0.963316\pi\) | ||
0.993366 | − | 0.114992i | \(-0.0366843\pi\) | |||||||
\(618\) | −25.7119 | + | 41.7933i | −1.03428 | + | 1.68117i | ||||
\(619\) | − | 45.1694i | − | 1.81551i | −0.419497 | − | 0.907757i | \(-0.637794\pi\) | ||
0.419497 | − | 0.907757i | \(-0.362206\pi\) | |||||||
\(620\) | 33.3070 | − | 8.87775i | 1.33764 | − | 0.356539i | ||||
\(621\) | 7.53346 | 0.302307 | ||||||||
\(622\) | 4.56925 | + | 2.81107i | 0.183210 | + | 0.112714i | ||||
\(623\) | −9.03106 | − | 16.3179i | −0.361822 | − | 0.653763i | ||||
\(624\) | 11.0897 | + | 8.17658i | 0.443942 | + | 0.327325i | ||||
\(625\) | 16.8908 | + | 18.4310i | 0.675630 | + | 0.737241i | ||||
\(626\) | 26.3762 | + | 16.2271i | 1.05421 | + | 0.648564i | ||||
\(627\) | − | 50.0319i | − | 1.99808i | ||||||
\(628\) | 5.30591 | − | 2.68009i | 0.211729 | − | 0.106947i | ||||
\(629\) | 13.4105 | 0.534712 | ||||||||
\(630\) | 7.66266 | − | 29.6025i | 0.305288 | − | 1.17939i | ||||
\(631\) | 1.44976i | 0.0577141i | 0.999584 | + | 0.0288571i | \(0.00918676\pi\) | ||||
−0.999584 | + | 0.0288571i | \(0.990813\pi\) | |||||||
\(632\) | 29.0480 | + | 2.43997i | 1.15547 | + | 0.0970567i | ||||
\(633\) | −24.4739 | −0.972749 | ||||||||
\(634\) | 31.7856 | + | 19.5550i | 1.26237 | + | 0.776628i | ||||
\(635\) | 4.44387 | − | 21.1348i | 0.176349 | − | 0.838708i | ||||
\(636\) | 14.6905 | + | 29.0834i | 0.582515 | + | 1.15323i | ||||
\(637\) | 7.91995 | + | 4.96351i | 0.313800 | + | 0.196661i | ||||
\(638\) | 5.02701 | − | 8.17113i | 0.199021 | − | 0.323498i | ||||
\(639\) | 29.9623i | 1.18529i | ||||||||
\(640\) | −20.2247 | + | 15.1975i | −0.799450 | + | 0.600733i | ||||
\(641\) | −8.82070 | −0.348397 | −0.174198 | − | 0.984711i | \(-0.555733\pi\) | ||||
−0.174198 | + | 0.984711i | \(0.555733\pi\) | |||||||
\(642\) | 16.1070 | − | 26.1810i | 0.635692 | − | 1.03328i | ||||
\(643\) | 21.0328 | 0.829451 | 0.414726 | − | 0.909946i | \(-0.363878\pi\) | ||||
0.414726 | + | 0.909946i | \(0.363878\pi\) | |||||||
\(644\) | −19.5099 | − | 13.2783i | −0.768797 | − | 0.523237i | ||||
\(645\) | −68.3981 | − | 14.3816i | −2.69317 | − | 0.566275i | ||||
\(646\) | 11.5214 | − | 18.7274i | 0.453303 | − | 0.736820i | ||||
\(647\) | − | 42.6208i | − | 1.67560i | −0.545979 | − | 0.837799i | \(-0.683842\pi\) | ||
0.545979 | − | 0.837799i | \(-0.316158\pi\) | |||||||
\(648\) | −1.56417 | + | 18.6216i | −0.0614465 | + | 0.731524i | ||||
\(649\) | 5.00358i | 0.196408i | ||||||||
\(650\) | −7.76699 | + | 5.36831i | −0.304647 | + | 0.210563i | ||||
\(651\) | 46.0276 | − | 25.4738i | 1.80396 | − | 0.998395i | ||||
\(652\) | −15.0415 | + | 7.59767i | −0.589069 | + | 0.297548i | ||||
\(653\) | −10.3346 | −0.404424 | −0.202212 | − | 0.979342i | \(-0.564813\pi\) | ||||
−0.202212 | + | 0.979342i | \(0.564813\pi\) | |||||||
\(654\) | 23.1643 | − | 37.6523i | 0.905795 | − | 1.47232i | ||||
\(655\) | −44.4058 | − | 9.33691i | −1.73508 | − | 0.364823i | ||||
\(656\) | −1.95302 | − | 1.43999i | −0.0762525 | − | 0.0562222i | ||||
\(657\) | 41.8230 | 1.63167 | ||||||||
\(658\) | −1.19209 | + | 25.8695i | −0.0464724 | + | 1.00850i | ||||
\(659\) | −24.5798 | −0.957493 | −0.478746 | − | 0.877953i | \(-0.658909\pi\) | ||||
−0.478746 | + | 0.877953i | \(0.658909\pi\) | |||||||
\(660\) | −40.1188 | + | 10.6934i | −1.56162 | + | 0.416240i | ||||
\(661\) | 27.2497 | 1.05989 | 0.529946 | − | 0.848031i | \(-0.322212\pi\) | ||||
0.529946 | + | 0.848031i | \(0.322212\pi\) | |||||||
\(662\) | 9.05191 | + | 5.56888i | 0.351813 | + | 0.216441i | ||||
\(663\) | 9.93770i | 0.385948i | ||||||||
\(664\) | −3.21350 | + | 38.2569i | −0.124708 | + | 1.48466i | ||||
\(665\) | 30.4744 | − | 9.36811i | 1.18175 | − | 0.363280i | ||||
\(666\) | 20.4628 | + | 12.5890i | 0.792917 | + | 0.487815i | ||||
\(667\) | 8.40673i | 0.325510i | ||||||||
\(668\) | 24.0110 | − | 12.1283i | 0.929013 | − | 0.469259i | ||||
\(669\) | − | 72.2639i | − | 2.79388i | ||||||
\(670\) | 31.3966 | + | 29.7679i | 1.21295 | + | 1.15003i | ||||
\(671\) | −13.6802 | −0.528119 | ||||||||
\(672\) | −24.3187 | + | 29.9879i | −0.938113 | + | 1.15681i | ||||
\(673\) | − | 30.4582i | − | 1.17408i | −0.809559 | − | 0.587038i | \(-0.800294\pi\) | ||
0.809559 | − | 0.587038i | \(-0.199706\pi\) | |||||||
\(674\) | 3.48258 | − | 5.66075i | 0.134144 | − | 0.218044i | ||||
\(675\) | 7.73055 | + | 3.40127i | 0.297549 | + | 0.130915i | ||||
\(676\) | 10.1147 | + | 20.0246i | 0.389028 | + | 0.770178i | ||||
\(677\) | 0.455107i | 0.0174912i | 0.999962 | + | 0.00874559i | \(0.00278384\pi\) | ||||
−0.999962 | + | 0.00874559i | \(0.997216\pi\) | |||||||
\(678\) | −19.7502 | + | 32.1029i | −0.758502 | + | 1.23290i | ||||
\(679\) | −14.4989 | + | 8.02432i | −0.556415 | + | 0.307945i | ||||
\(680\) | −17.4794 | − | 5.23597i | −0.670303 | − | 0.200790i | ||||
\(681\) | 4.78254 | 0.183267 | ||||||||
\(682\) | −33.4124 | − | 20.5558i | −1.27943 | − | 0.787124i | ||||
\(683\) | 1.03207i | 0.0394911i | 0.999805 | + | 0.0197456i | \(0.00628562\pi\) | ||||
−0.999805 | + | 0.0197456i | \(0.993714\pi\) | |||||||
\(684\) | 35.1605 | − | 17.7601i | 1.34439 | − | 0.679074i | ||||
\(685\) | 26.7676 | + | 5.62824i | 1.02274 | + | 0.215044i | ||||
\(686\) | −14.9157 | + | 21.5296i | −0.569482 | + | 0.822004i | ||||
\(687\) | 52.2277 | 1.99261 | ||||||||
\(688\) | 39.0098 | + | 28.7625i | 1.48723 | + | 1.09656i | ||||
\(689\) | − | 8.43253i | − | 0.321254i | ||||||
\(690\) | 25.0326 | − | 26.4022i | 0.952974 | − | 1.00511i | ||||
\(691\) | 10.9090i | 0.414999i | 0.978235 | + | 0.207500i | \(0.0665326\pi\) | ||||
−0.978235 | + | 0.207500i | \(0.933467\pi\) | |||||||
\(692\) | −18.9083 | + | 9.55085i | −0.718784 | + | 0.363069i | ||||
\(693\) | −30.4481 | + | 16.8513i | −1.15663 | + | 0.640129i | ||||
\(694\) | −7.23171 | + | 11.7548i | −0.274512 | + | 0.446204i | ||||
\(695\) | 0.387449 | + | 0.0814662i | 0.0146968 | + | 0.00309019i | ||||
\(696\) | 13.7052 | + | 1.15120i | 0.519493 | + | 0.0436363i | ||||
\(697\) | − | 1.75014i | − | 0.0662914i | ||||||
\(698\) | 7.59048 | + | 4.66978i | 0.287304 | + | 0.176754i | ||||
\(699\) | 6.08251i | 0.230062i | ||||||||
\(700\) | −14.0253 | − | 22.4341i | −0.530107 | − | 0.847931i | ||||
\(701\) | 33.6356i | 1.27040i | 0.772349 | + | 0.635199i | \(0.219082\pi\) | ||||
−0.772349 | + | 0.635199i | \(0.780918\pi\) | |||||||
\(702\) | −1.67136 | + | 2.71671i | −0.0630814 | + | 0.102535i | ||||
\(703\) | 25.0495i | 0.944760i | ||||||||
\(704\) | 28.3878 | + | 4.80292i | 1.06991 | + | 0.181017i | ||||
\(705\) | −39.0700 | − | 8.21497i | −1.47146 | − | 0.309394i | ||||
\(706\) | −2.92767 | − | 1.80115i | −0.110184 | − | 0.0677872i | ||||
\(707\) | 11.1817 | − | 6.18843i | 0.420530 | − | 0.232740i | ||||
\(708\) | −6.40267 | + | 3.23409i | −0.240627 | + | 0.121544i | ||||
\(709\) | 14.1991i | 0.533258i | 0.963799 | + | 0.266629i | \(0.0859099\pi\) | ||||
−0.963799 | + | 0.266629i | \(0.914090\pi\) | |||||||
\(710\) | 18.8130 | + | 17.8371i | 0.706038 | + | 0.669413i | ||||
\(711\) | 37.6669i | 1.41262i | ||||||||
\(712\) | −19.8680 | − | 1.66887i | −0.744586 | − | 0.0625437i | ||||
\(713\) | 34.3758 | 1.28738 | ||||||||
\(714\) | −27.8180 | − | 1.28187i | −1.04106 | − | 0.0479729i | ||||
\(715\) | 10.5154 | + | 2.21100i | 0.393253 | + | 0.0826866i | ||||
\(716\) | −1.74883 | − | 3.46224i | −0.0653568 | − | 0.129390i | ||||
\(717\) | − | 13.7941i | − | 0.515148i | ||||||
\(718\) | 5.87140 | − | 9.54365i | 0.219119 | − | 0.356166i | ||||
\(719\) | 35.5086 | 1.32425 | 0.662123 | − | 0.749395i | \(-0.269656\pi\) | ||||
0.662123 | + | 0.749395i | \(0.269656\pi\) | |||||||
\(720\) | −21.7561 | − | 24.3981i | −0.810803 | − | 0.909264i | ||||
\(721\) | 17.2317 | + | 31.1354i | 0.641742 | + | 1.15954i | ||||
\(722\) | 12.0951 | + | 7.44111i | 0.450134 | + | 0.276929i | ||||
\(723\) | − | 25.0264i | − | 0.930743i | ||||||
\(724\) | −10.8159 | − | 21.4128i | −0.401971 | − | 0.795801i | ||||
\(725\) | −3.79554 | + | 8.62666i | −0.140963 | + | 0.320386i | ||||
\(726\) | 6.06576 | + | 3.73175i | 0.225122 | + | 0.138498i | ||||
\(727\) | 14.4322i | 0.535261i | 0.963522 | + | 0.267630i | \(0.0862406\pi\) | ||||
−0.963522 | + | 0.267630i | \(0.913759\pi\) | |||||||
\(728\) | 9.11682 | − | 4.08974i | 0.337892 | − | 0.151576i | ||||
\(729\) | −37.2192 | −1.37849 | ||||||||
\(730\) | 24.8979 | − | 26.2601i | 0.921513 | − | 0.971931i | ||||
\(731\) | 34.9575i | 1.29295i | ||||||||
\(732\) | −8.84227 | − | 17.5055i | −0.326820 | − | 0.647021i | ||||
\(733\) | − | 20.7489i | − | 0.766378i | −0.923670 | − | 0.383189i | \(-0.874826\pi\) | ||
0.923670 | − | 0.383189i | \(-0.125174\pi\) | |||||||
\(734\) | 11.8437 | − | 19.2514i | 0.437160 | − | 0.710581i | ||||
\(735\) | −29.0703 | − | 28.0239i | −1.07228 | − | 1.03368i | ||||
\(736\) | −23.3925 | + | 9.45003i | −0.862259 | + | 0.348333i | ||||
\(737\) | − | 49.2389i | − | 1.81374i | ||||||
\(738\) | 1.64294 | − | 2.67051i | 0.0604774 | − | 0.0983027i | ||||
\(739\) | 15.3022 | 0.562901 | 0.281450 | − | 0.959576i | \(-0.409185\pi\) | ||||
0.281450 | + | 0.959576i | \(0.409185\pi\) | |||||||
\(740\) | 20.0864 | − | 5.35388i | 0.738389 | − | 0.196812i | ||||
\(741\) | −18.5626 | −0.681916 | ||||||||
\(742\) | 23.6047 | + | 1.08772i | 0.866555 | + | 0.0399315i | ||||
\(743\) | −30.8617 | −1.13221 | −0.566103 | − | 0.824334i | \(-0.691550\pi\) | ||||
−0.566103 | + | 0.824334i | \(0.691550\pi\) | |||||||
\(744\) | 4.70737 | − | 56.0415i | 0.172580 | − | 2.05458i | ||||
\(745\) | −0.610750 | − | 0.128418i | −0.0223762 | − | 0.00470488i | ||||
\(746\) | 25.2149 | + | 15.5126i | 0.923184 | + | 0.567957i | ||||
\(747\) | −49.6082 | −1.81507 | ||||||||
\(748\) | 9.36267 | + | 18.5357i | 0.342333 | + | 0.677733i | ||||
\(749\) | −10.7946 | − | 19.5045i | −0.394428 | − | 0.712677i | ||||
\(750\) | 37.6077 | − | 15.7910i | 1.37324 | − | 0.576604i | ||||
\(751\) | 10.9371i | 0.399099i | 0.979888 | + | 0.199550i | \(0.0639479\pi\) | ||||
−0.979888 | + | 0.199550i | \(0.936052\pi\) | |||||||
\(752\) | 22.2829 | + | 16.4296i | 0.812575 | + | 0.599125i | ||||
\(753\) | 37.9912i | 1.38448i | ||||||||
\(754\) | −3.03162 | − | 1.86510i | −0.110405 | − | 0.0679230i | ||||
\(755\) | 10.4018 | + | 2.18712i | 0.378562 | + | 0.0795976i | ||||
\(756\) | −7.38912 | − | 5.02897i | −0.268740 | − | 0.182902i | ||||
\(757\) | −28.1387 | −1.02272 | −0.511359 | − | 0.859367i | \(-0.670858\pi\) | ||||
−0.511359 | + | 0.859367i | \(0.670858\pi\) | |||||||
\(758\) | −15.8433 | − | 9.74704i | −0.575454 | − | 0.354028i | ||||
\(759\) | −41.4062 | −1.50295 | ||||||||
\(760\) | 9.78028 | − | 32.6497i | 0.354768 | − | 1.18433i | ||||
\(761\) | − | 46.8922i | − | 1.69984i | −0.526911 | − | 0.849921i | \(-0.676650\pi\) | ||
0.526911 | − | 0.849921i | \(-0.323350\pi\) | |||||||
\(762\) | −30.0114 | − | 18.4635i | −1.08720 | − | 0.668862i | ||||
\(763\) | −15.5243 | − | 28.0503i | −0.562018 | − | 1.01549i | ||||
\(764\) | 18.3984 | − | 9.29333i | 0.665632 | − | 0.336221i | ||||
\(765\) | 4.85145 | − | 23.0732i | 0.175404 | − | 0.834214i | ||||
\(766\) | −16.6639 | + | 27.0862i | −0.602090 | + | 0.978665i | ||||
\(767\) | 1.85641 | 0.0670311 | ||||||||
\(768\) | 12.2027 | + | 39.4299i | 0.440326 | + | 1.42281i | ||||
\(769\) | − | 8.13831i | − | 0.293475i | −0.989175 | − | 0.146738i | \(-0.953123\pi\) | ||
0.989175 | − | 0.146738i | \(-0.0468773\pi\) | |||||||
\(770\) | −7.54550 | + | 29.1498i | −0.271921 | + | 1.05049i | ||||
\(771\) | −29.0732 | −1.04705 | ||||||||
\(772\) | 14.2345 | − | 7.19005i | 0.512310 | − | 0.258776i | ||||
\(773\) | − | 8.13686i | − | 0.292662i | −0.989236 | − | 0.146331i | \(-0.953253\pi\) | ||
0.989236 | − | 0.146331i | \(-0.0467465\pi\) | |||||||
\(774\) | −32.8162 | + | 53.3410i | −1.17955 | + | 1.91730i | ||||
\(775\) | 35.2751 | + | 15.5203i | 1.26712 | + | 0.557505i | ||||
\(776\) | −1.48284 | + | 17.6532i | −0.0532307 | + | 0.633715i | ||||
\(777\) | 27.7578 | − | 15.3624i | 0.995804 | − | 0.551123i | ||||
\(778\) | −5.62384 | + | 9.14125i | −0.201624 | + | 0.327730i | ||||
\(779\) | 3.26910 | 0.117128 | ||||||||
\(780\) | 3.96743 | + | 14.8848i | 0.142057 | + | 0.532960i | ||||
\(781\) | − | 29.5042i | − | 1.05574i | ||||||
\(782\) | −15.4987 | − | 9.53507i | −0.554234 | − | 0.340974i | ||||
\(783\) | 3.18394i | 0.113785i | ||||||||
\(784\) | 10.2722 | + | 26.0477i | 0.366863 | + | 0.930275i | ||||
\(785\) | 6.50379 | + | 1.36751i | 0.232130 | + | 0.0488085i | ||||
\(786\) | −38.7933 | + | 63.0564i | −1.38371 | + | 2.24915i | ||||
\(787\) | 35.3405 | 1.25975 | 0.629877 | − | 0.776695i | \(-0.283105\pi\) | ||||
0.629877 | + | 0.776695i | \(0.283105\pi\) | |||||||
\(788\) | 8.25987 | + | 16.3524i | 0.294246 | + | 0.582532i | ||||
\(789\) | −36.8015 | −1.31017 | ||||||||
\(790\) | 23.6506 | + | 22.4237i | 0.841449 | + | 0.797800i | ||||
\(791\) | 13.2363 | + | 23.9161i | 0.470628 | + | 0.850360i | ||||
\(792\) | −3.11400 | + | 37.0724i | −0.110651 | + | 1.31731i | ||||
\(793\) | 5.07559i | 0.180239i | ||||||||
\(794\) | −3.13894 | + | 5.10218i | −0.111397 | + | 0.181070i | ||||
\(795\) | −7.49576 | + | 35.6494i | −0.265847 | + | 1.26435i | ||||
\(796\) | −16.3434 | − | 32.3557i | −0.579276 | − | 1.14682i | ||||
\(797\) | 21.6145i | 0.765626i | 0.923826 | + | 0.382813i | \(0.125045\pi\) | ||||
−0.923826 | + | 0.382813i | \(0.874955\pi\) | |||||||
\(798\) | 2.39441 | − | 51.9613i | 0.0847613 | − | 1.83941i | ||||
\(799\) | 19.9683i | 0.706426i | ||||||||
\(800\) | −28.2711 | − | 0.864187i | −0.999533 | − | 0.0305536i | ||||
\(801\) | − | 25.7631i | − | 0.910296i | ||||||
\(802\) | 8.32024 | + | 5.11874i | 0.293798 | + | 0.180749i | ||||
\(803\) | −41.1835 | −1.45333 | ||||||||
\(804\) | 63.0070 | − | 31.8258i | 2.22209 | − | 1.12241i | ||||
\(805\) | −7.75302 | − | 25.2205i | −0.273258 | − | 0.888907i | ||||
\(806\) | −7.62655 | + | 12.3966i | −0.268634 | + | 0.436650i | ||||
\(807\) | −50.6839 | −1.78416 | ||||||||
\(808\) | 1.14358 | − | 13.6144i | 0.0402309 | − | 0.478951i | ||||
\(809\) | −6.77039 | −0.238034 | −0.119017 | − | 0.992892i | \(-0.537974\pi\) | ||||
−0.119017 | + | 0.992892i | \(0.537974\pi\) | |||||||
\(810\) | −14.3750 | + | 15.1615i | −0.505086 | + | 0.532720i | ||||
\(811\) | − | 31.6060i | − | 1.10984i | −0.831905 | − | 0.554918i | \(-0.812750\pi\) | ||
0.831905 | − | 0.554918i | \(-0.187250\pi\) | |||||||
\(812\) | 5.61192 | − | 8.24566i | 0.196940 | − | 0.289366i | ||||
\(813\) | 55.2927 | 1.93920 | ||||||||
\(814\) | −20.1499 | − | 12.3966i | −0.706254 | − | 0.434499i | ||||
\(815\) | −18.4373 | − | 3.87669i | −0.645831 | − | 0.135794i | ||||
\(816\) | −17.6670 | + | 23.9613i | −0.618470 | + | 0.838812i | ||||
\(817\) | −65.2973 | −2.28446 | ||||||||
\(818\) | 2.86444 | − | 4.65599i | 0.100153 | − | 0.162793i | ||||
\(819\) | 6.25212 | + | 11.2967i | 0.218467 | + | 0.394740i | ||||
\(820\) | −0.698710 | − | 2.62138i | −0.0244000 | − | 0.0915425i | ||||
\(821\) | − | 28.3663i | − | 0.989990i | −0.868896 | − | 0.494995i | \(-0.835170\pi\) | ||
0.868896 | − | 0.494995i | \(-0.164830\pi\) | |||||||
\(822\) | 23.3844 | − | 38.0101i | 0.815625 | − | 1.32575i | ||||
\(823\) | −15.3770 | −0.536008 | −0.268004 | − | 0.963418i | \(-0.586364\pi\) | ||||
−0.268004 | + | 0.963418i | \(0.586364\pi\) | |||||||
\(824\) | 37.9092 | + | 3.18429i | 1.32063 | + | 0.110930i | ||||
\(825\) | −42.4895 | − | 18.6944i | −1.47929 | − | 0.650857i | ||||
\(826\) | −0.239460 | + | 5.19653i | −0.00833189 | + | 0.180811i | ||||
\(827\) | − | 25.3065i | − | 0.879994i | −0.897999 | − | 0.439997i | \(-0.854979\pi\) | ||
0.897999 | − | 0.439997i | \(-0.145021\pi\) | |||||||
\(828\) | −14.6982 | − | 29.0987i | −0.510798 | − | 1.01125i | ||||
\(829\) | −34.4068 | −1.19500 | −0.597498 | − | 0.801870i | \(-0.703838\pi\) | ||||
−0.597498 | + | 0.801870i | \(0.703838\pi\) | |||||||
\(830\) | −29.5326 | + | 31.1484i | −1.02509 | + | 1.08118i | ||||
\(831\) | −52.4256 | −1.81863 | ||||||||
\(832\) | 1.78196 | − | 10.5323i | 0.0617784 | − | 0.365143i | ||||
\(833\) | −10.7246 | + | 17.1125i | −0.371585 | + | 0.592914i | ||||
\(834\) | 0.338478 | − | 0.550178i | 0.0117206 | − | 0.0190511i | ||||
\(835\) | 29.4318 | + | 6.18843i | 1.01853 | + | 0.214160i | ||||
\(836\) | −34.6229 | + | 17.4885i | −1.19746 | + | 0.604854i | ||||
\(837\) | 13.0194 | 0.450016 | ||||||||
\(838\) | −9.62795 | + | 15.6497i | −0.332592 | + | 0.540610i | ||||
\(839\) | −30.9918 | −1.06995 | −0.534977 | − | 0.844867i | \(-0.679680\pi\) | ||||
−0.534977 | + | 0.844867i | \(0.679680\pi\) | |||||||
\(840\) | −42.1777 | + | 9.18578i | −1.45527 | + | 0.316940i | ||||
\(841\) | 25.4470 | 0.877482 | ||||||||
\(842\) | −15.1288 | + | 24.5910i | −0.521372 | + | 0.847462i | ||||
\(843\) | −17.0352 | −0.586724 | ||||||||
\(844\) | 8.55479 | + | 16.9363i | 0.294468 | + | 0.582972i | ||||
\(845\) | −5.16101 | + | 24.5455i | −0.177544 | + | 0.844390i | ||||
\(846\) | −18.7451 | + | 30.4691i | −0.644469 | + | 1.04755i | ||||
\(847\) | 4.51890 | − | 2.50096i | 0.155271 | − | 0.0859341i | ||||
\(848\) | 14.9912 | − | 20.3321i | 0.514799 | − | 0.698207i | ||||
\(849\) | −67.1205 | −2.30357 | ||||||||
\(850\) | −11.5992 | − | 16.7820i | −0.397851 | − | 0.575619i | ||||
\(851\) | 20.7309 | 0.710646 | ||||||||
\(852\) | 37.7541 | − | 19.0701i | 1.29343 | − | 0.653332i | ||||
\(853\) | − | 48.4535i | − | 1.65902i | −0.558495 | − | 0.829508i | \(-0.688621\pi\) | ||
0.558495 | − | 0.829508i | \(-0.311379\pi\) | |||||||
\(854\) | −14.2078 | − | 0.654705i | −0.486180 | − | 0.0224036i | ||||
\(855\) | 43.0985 | + | 9.06203i | 1.47394 | + | 0.309915i | ||||
\(856\) | −23.7479 | − | 1.99477i | −0.811686 | − | 0.0681799i | ||||
\(857\) | −29.2857 | −1.00038 | −0.500190 | − | 0.865916i | \(-0.666736\pi\) | ||||
−0.500190 | + | 0.865916i | \(0.666736\pi\) | |||||||
\(858\) | 9.18632 | − | 14.9319i | 0.313616 | − | 0.509765i | ||||
\(859\) | 48.5659i | 1.65705i | 0.559955 | + | 0.828523i | \(0.310818\pi\) | ||||
−0.559955 | + | 0.828523i | \(0.689182\pi\) | |||||||
\(860\) | 13.9561 | + | 52.3597i | 0.475899 | + | 1.78545i | ||||
\(861\) | −2.00488 | − | 3.62254i | −0.0683260 | − | 0.123456i | ||||
\(862\) | −2.62671 | + | 4.26957i | −0.0894661 | + | 0.145422i | ||||
\(863\) | −8.92660 | −0.303865 | −0.151933 | − | 0.988391i | \(-0.548550\pi\) | ||||
−0.151933 | + | 0.988391i | \(0.548550\pi\) | |||||||
\(864\) | −8.85960 | + | 3.57908i | −0.301410 | + | 0.121763i | ||||
\(865\) | −23.1771 | − | 4.87329i | −0.788045 | − | 0.165697i | ||||
\(866\) | 29.0938 | + | 17.8990i | 0.988649 | + | 0.608232i | ||||
\(867\) | 22.3824 | 0.760147 | ||||||||
\(868\) | −33.7171 | − | 22.9476i | −1.14443 | − | 0.778892i | ||||
\(869\) | − | 37.0909i | − | 1.25822i | ||||||
\(870\) | 11.1586 | + | 10.5798i | 0.378312 | + | 0.358687i | ||||
\(871\) | −18.2684 | −0.619003 | ||||||||
\(872\) | −34.1530 | − | 2.86878i | −1.15657 | − | 0.0971492i | ||||
\(873\) | −22.8912 | −0.774749 | ||||||||
\(874\) | 17.8106 | − | 28.9501i | 0.602452 | − | 0.979253i | ||||
\(875\) | 3.43094 | − | 29.3808i | 0.115987 | − | 0.993251i | ||||
\(876\) | −26.6191 | − | 52.6992i | −0.899377 | − | 1.78054i | ||||
\(877\) | 3.16793 | 0.106973 | 0.0534867 | − | 0.998569i | \(-0.482967\pi\) | ||||
0.0534867 | + | 0.998569i | \(0.482967\pi\) | |||||||
\(878\) | 9.75916 | + | 6.00399i | 0.329356 | + | 0.202625i | ||||
\(879\) | − | 60.8278i | − | 2.05167i | ||||||
\(880\) | 21.4235 | + | 24.0251i | 0.722186 | + | 0.809885i | ||||
\(881\) | 17.9454i | 0.604595i | 0.953214 | + | 0.302297i | \(0.0977536\pi\) | ||||
−0.953214 | + | 0.302297i | \(0.902246\pi\) | |||||||
\(882\) | −32.4287 | + | 16.0440i | −1.09193 | + | 0.540229i | ||||
\(883\) | 8.46669i | 0.284927i | 0.989800 | + | 0.142463i | \(0.0455023\pi\) | ||||
−0.989800 | + | 0.142463i | \(0.954498\pi\) | |||||||
\(884\) | 6.87705 | − | 3.47370i | 0.231300 | − | 0.116833i | ||||
\(885\) | −7.84817 | − | 1.65018i | −0.263813 | − | 0.0554702i | ||||
\(886\) | 19.3407 | − | 31.4373i | 0.649764 | − | 1.05616i | ||||
\(887\) | − | 20.3807i | − | 0.684317i | −0.939642 | − | 0.342159i | \(-0.888842\pi\) | ||
0.939642 | − | 0.342159i | \(-0.111158\pi\) | |||||||
\(888\) | 2.83886 | − | 33.7968i | 0.0952658 | − | 1.13415i | ||||
\(889\) | −22.3581 | + | 12.3740i | −0.749865 | + | 0.415009i | ||||
\(890\) | −16.1764 | − | 15.3372i | −0.542233 | − | 0.514105i | ||||
\(891\) | 23.7776 | 0.796580 | ||||||||
\(892\) | −50.0078 | + | 25.2597i | −1.67439 | + | 0.845758i | ||||
\(893\) | −37.2987 | −1.24815 | ||||||||
\(894\) | −0.533556 | + | 0.867267i | −0.0178448 | + | 0.0290058i | ||||
\(895\) | 0.892334 | − | 4.24389i | 0.0298274 | − | 0.141858i | ||||
\(896\) | 29.2527 | + | 6.34671i | 0.977263 | + | 0.212029i | ||||
\(897\) | 15.3624i | 0.512935i | ||||||||
\(898\) | −18.0555 | − | 11.1080i | −0.602520 | − | 0.370680i | ||||
\(899\) | 14.5286i | 0.484555i | ||||||||
\(900\) | −1.94499 | − | 36.4961i | −0.0648330 | − | 1.21654i | ||||
\(901\) | 18.2201 | 0.606998 | ||||||||
\(902\) | −1.61782 | + | 2.62967i | −0.0538674 | + | 0.0875586i | ||||
\(903\) | 40.0456 | + | 72.3569i | 1.33263 | + | 2.40789i | ||||
\(904\) | 29.1194 | + | 2.44597i | 0.968496 | + | 0.0813516i | ||||
\(905\) | 5.51880 | − | 26.2471i | 0.183451 | − | 0.872483i | ||||
\(906\) | 9.08713 | − | 14.7706i | 0.301900 | − | 0.490722i | ||||
\(907\) | 21.3838i | 0.710037i | 0.934859 | + | 0.355018i | \(0.115525\pi\) | ||||
−0.934859 | + | 0.355018i | \(0.884475\pi\) | |||||||
\(908\) | −1.67173 | − | 3.30960i | −0.0554782 | − | 0.109833i | ||||
\(909\) | 17.6539 | 0.585543 | ||||||||
\(910\) | 10.8151 | + | 2.79950i | 0.358516 | + | 0.0928026i | ||||
\(911\) | − | 26.8804i | − | 0.890586i | −0.895385 | − | 0.445293i | \(-0.853099\pi\) | ||
0.895385 | − | 0.445293i | \(-0.146901\pi\) | |||||||
\(912\) | −44.7573 | − | 33.0003i | −1.48206 | − | 1.09275i | ||||
\(913\) | 48.8497 | 1.61669 | ||||||||
\(914\) | −28.7581 | + | 46.7447i | −0.951233 | + | 1.54618i | ||||
\(915\) | 4.51174 | − | 21.4576i | 0.149154 | − | 0.709366i | ||||
\(916\) | −18.2561 | − | 36.1424i | −0.603198 | − | 1.19418i | ||||
\(917\) | 25.9986 | + | 46.9760i | 0.858551 | + | 1.55128i | ||||
\(918\) | −5.86995 | − | 3.61129i | −0.193737 | − | 0.119190i | ||||
\(919\) | − | 6.12542i | − | 0.202059i | −0.994883 | − | 0.101029i | \(-0.967786\pi\) | ||
0.994883 | − | 0.101029i | \(-0.0322136\pi\) | |||||||
\(920\) | −27.0208 | − | 8.09413i | −0.890850 | − | 0.266856i | ||||
\(921\) | 21.5399 | 0.709764 | ||||||||
\(922\) | 33.8000 | + | 20.7943i | 1.11314 | + | 0.684823i | ||||
\(923\) | −10.9465 | −0.360309 | ||||||||
\(924\) | 40.6129 | + | 27.6408i | 1.33607 | + | 0.909315i | ||||
\(925\) | 21.2733 | + | 9.35977i | 0.699460 | + | 0.307747i | ||||
\(926\) | 11.3755 | + | 6.99839i | 0.373822 | + | 0.229981i | ||||
\(927\) | 49.1573i | 1.61454i | ||||||||
\(928\) | −3.99396 | − | 9.88660i | −0.131108 | − | 0.324543i | ||||
\(929\) | 31.3815i | 1.02959i | 0.857312 | + | 0.514796i | \(0.172133\pi\) | ||||
−0.857312 | + | 0.514796i | \(0.827867\pi\) | |||||||
\(930\) | 43.2615 | − | 45.6284i | 1.41860 | − | 1.49621i | ||||
\(931\) | −31.9645 | − | 20.0325i | −1.04760 | − | 0.656538i | ||||
\(932\) | 4.20920 | − | 2.12613i | 0.137877 | − | 0.0696438i | ||||
\(933\) | 9.78585 | 0.320374 | ||||||||
\(934\) | −23.0837 | − | 14.2015i | −0.755323 | − | 0.464686i | ||||
\(935\) | −4.77727 | + | 22.7204i | −0.156233 | + | 0.743037i | ||||
\(936\) | 13.7545 | + | 1.15535i | 0.449579 | + | 0.0377637i | ||||
\(937\) | −8.37400 | −0.273567 | −0.136783 | − | 0.990601i | \(-0.543676\pi\) | ||||
−0.136783 | + | 0.990601i | \(0.543676\pi\) | |||||||
\(938\) | 2.35647 | − | 51.1377i | 0.0769413 | − | 1.66971i | ||||
\(939\) | 56.4893 | 1.84346 | ||||||||
\(940\) | 7.97193 | + | 29.9086i | 0.260016 | + | 0.975511i | ||||
\(941\) | −43.1607 | −1.40700 | −0.703499 | − | 0.710696i | \(-0.748380\pi\) | ||||
−0.703499 | + | 0.710696i | \(0.748380\pi\) | |||||||
\(942\) | 5.68177 | − | 9.23541i | 0.185122 | − | 0.300906i | ||||
\(943\) | − | 2.70550i | − | 0.0881030i | ||||||
\(944\) | 4.47608 | + | 3.30029i | 0.145684 | + | 0.107415i | ||||
\(945\) | −2.93636 | − | 9.55195i | −0.0955197 | − | 0.310725i | ||||
\(946\) | 32.3144 | − | 52.5254i | 1.05063 | − | 1.70775i | ||||
\(947\) | 25.4973i | 0.828550i | 0.910152 | + | 0.414275i | \(0.135965\pi\) | ||||
−0.910152 | + | 0.414275i | \(0.864035\pi\) | |||||||
\(948\) | 47.4622 | − | 23.9739i | 1.54150 | − | 0.778636i | ||||
\(949\) | 15.2798i | 0.496002i | ||||||||
\(950\) | 31.3472 | − | 21.6662i | 1.01704 | − | 0.702946i | ||||
\(951\) | 68.0745 | 2.20747 | ||||||||
\(952\) | 8.83665 | + | 19.6986i | 0.286397 | + | 0.638435i | ||||
\(953\) | 29.6337i | 0.959929i | 0.877288 | + | 0.479964i | \(0.159350\pi\) | ||||
−0.877288 | + | 0.479964i | \(0.840650\pi\) | |||||||
\(954\) | 27.8016 | + | 17.1040i | 0.900110 | + | 0.553762i | ||||
\(955\) | 22.5522 | + | 4.74189i | 0.729771 | + | 0.153444i | ||||
\(956\) | −9.54572 | + | 4.82169i | −0.308731 | + | 0.155944i | ||||
\(957\) | − | 17.4999i | − | 0.565692i | ||||||
\(958\) | −23.9214 | − | 14.7168i | −0.772865 | − | 0.475479i | ||||
\(959\) | −15.6719 | − | 28.3169i | −0.506071 | − | 0.914401i | ||||
\(960\) | −16.8957 | + | 42.9426i | −0.545308 | + | 1.38597i | ||||
\(961\) | 28.4085 | 0.916403 | ||||||||
\(962\) | −4.59932 | + | 7.47595i | −0.148288 | + | 0.241034i | ||||
\(963\) | − | 30.7942i | − | 0.992328i | ||||||
\(964\) | −17.3187 | + | 8.74794i | −0.557798 | + | 0.281752i | ||||
\(965\) | 17.4481 | + | 3.66870i | 0.561675 | + | 0.118100i | ||||
\(966\) | −43.0030 | − | 1.98161i | −1.38360 | − | 0.0637573i | ||||
\(967\) | 5.90310 | 0.189831 | 0.0949154 | − | 0.995485i | \(-0.469742\pi\) | ||||
0.0949154 | + | 0.995485i | \(0.469742\pi\) | |||||||
\(968\) | 0.462159 | − | 5.50204i | 0.0148544 | − | 0.176842i | ||||
\(969\) | − | 40.1080i | − | 1.28846i | ||||||
\(970\) | −13.6275 | + | 14.3731i | −0.437553 | + | 0.461492i | ||||
\(971\) | − | 9.06341i | − | 0.290859i | −0.989369 | − | 0.145429i | \(-0.953544\pi\) | ||
0.989369 | − | 0.145429i | \(-0.0464563\pi\) | |||||||
\(972\) | 19.9382 | + | 39.4726i | 0.639517 | + | 1.26608i | ||||
\(973\) | −0.226843 | − | 0.409874i | −0.00727225 | − | 0.0131400i | ||||
\(974\) | 3.12637 | + | 1.92339i | 0.100175 | + | 0.0616295i | ||||
\(975\) | −6.93595 | + | 15.7643i | −0.222128 | + | 0.504862i | ||||
\(976\) | −9.02327 | + | 12.2380i | −0.288828 | + | 0.391729i | ||||
\(977\) | − | 20.7277i | − | 0.663138i | −0.943431 | − | 0.331569i | \(-0.892422\pi\) | ||
0.943431 | − | 0.331569i | \(-0.107578\pi\) | |||||||
\(978\) | −16.1070 | + | 26.1810i | −0.515045 | + | 0.837177i | ||||
\(979\) | 25.3692i | 0.810804i | ||||||||
\(980\) | −9.23152 | + | 29.9129i | −0.294890 | + | 0.955531i | ||||
\(981\) | − | 44.2867i | − | 1.41396i | ||||||
\(982\) | −20.0092 | − | 12.3100i | −0.638518 | − | 0.392827i | ||||
\(983\) | − | 1.55484i | − | 0.0495916i | −0.999693 | − | 0.0247958i | \(-0.992106\pi\) | ||
0.999693 | − | 0.0247958i | \(-0.00789356\pi\) | |||||||
\(984\) | −4.41066 | − | 0.370486i | −0.140607 | − | 0.0118107i | ||||
\(985\) | −4.21457 | + | 20.0443i | −0.134287 | + | 0.638663i | ||||
\(986\) | 4.02990 | − | 6.55039i | 0.128338 | − | 0.208607i | ||||
\(987\) | 22.8746 | + | 41.3313i | 0.728107 | + | 1.31559i | ||||
\(988\) | 6.48854 | + | 12.8457i | 0.206428 | + | 0.408675i | ||||
\(989\) | 54.0398i | 1.71837i | ||||||||
\(990\) | −28.6182 | + | 30.1840i | −0.909546 | + | 0.959309i | ||||
\(991\) | 48.1236i | 1.52870i | 0.644804 | + | 0.764348i | \(0.276939\pi\) | ||||
−0.644804 | + | 0.764348i | \(0.723061\pi\) | |||||||
\(992\) | −40.4271 | + | 16.3316i | −1.28356 | + | 0.518529i | ||||
\(993\) | 19.3863 | 0.615205 | ||||||||
\(994\) | 1.41200 | − | 30.6419i | 0.0447860 | − | 0.971904i | ||||
\(995\) | 8.33915 | − | 39.6605i | 0.264369 | − | 1.25732i | ||||
\(996\) | 31.5742 | + | 62.5090i | 1.00047 | + | 1.98067i | ||||
\(997\) | − | 19.4339i | − | 0.615479i | −0.951471 | − | 0.307739i | \(-0.900428\pi\) | ||
0.951471 | − | 0.307739i | \(-0.0995725\pi\) | |||||||
\(998\) | −15.4218 | − | 9.48775i | −0.488169 | − | 0.300329i | ||||
\(999\) | 7.85156 | 0.248412 |
(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 | 280.2.n.b.139.5 | ✓ | 40 | |
4.3 | odd | 2 | 1120.2.n.b.559.36 | 40 | |||
5.4 | even | 2 | inner | 280.2.n.b.139.36 | yes | 40 | |
7.6 | odd | 2 | inner | 280.2.n.b.139.6 | yes | 40 | |
8.3 | odd | 2 | inner | 280.2.n.b.139.33 | yes | 40 | |
8.5 | even | 2 | 1120.2.n.b.559.35 | 40 | |||
20.19 | odd | 2 | 1120.2.n.b.559.7 | 40 | |||
28.27 | even | 2 | 1120.2.n.b.559.5 | 40 | |||
35.34 | odd | 2 | inner | 280.2.n.b.139.35 | yes | 40 | |
40.19 | odd | 2 | inner | 280.2.n.b.139.8 | yes | 40 | |
40.29 | even | 2 | 1120.2.n.b.559.8 | 40 | |||
56.13 | odd | 2 | 1120.2.n.b.559.6 | 40 | |||
56.27 | even | 2 | inner | 280.2.n.b.139.34 | yes | 40 | |
140.139 | even | 2 | 1120.2.n.b.559.34 | 40 | |||
280.69 | odd | 2 | 1120.2.n.b.559.33 | 40 | |||
280.139 | even | 2 | inner | 280.2.n.b.139.7 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
280.2.n.b.139.5 | ✓ | 40 | 1.1 | even | 1 | trivial | |
280.2.n.b.139.6 | yes | 40 | 7.6 | odd | 2 | inner | |
280.2.n.b.139.7 | yes | 40 | 280.139 | even | 2 | inner | |
280.2.n.b.139.8 | yes | 40 | 40.19 | odd | 2 | inner | |
280.2.n.b.139.33 | yes | 40 | 8.3 | odd | 2 | inner | |
280.2.n.b.139.34 | yes | 40 | 56.27 | even | 2 | inner | |
280.2.n.b.139.35 | yes | 40 | 35.34 | odd | 2 | inner | |
280.2.n.b.139.36 | yes | 40 | 5.4 | even | 2 | inner | |
1120.2.n.b.559.5 | 40 | 28.27 | even | 2 | |||
1120.2.n.b.559.6 | 40 | 56.13 | odd | 2 | |||
1120.2.n.b.559.7 | 40 | 20.19 | odd | 2 | |||
1120.2.n.b.559.8 | 40 | 40.29 | even | 2 | |||
1120.2.n.b.559.33 | 40 | 280.69 | odd | 2 | |||
1120.2.n.b.559.34 | 40 | 140.139 | even | 2 | |||
1120.2.n.b.559.35 | 40 | 8.5 | even | 2 | |||
1120.2.n.b.559.36 | 40 | 4.3 | odd | 2 |