Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(13,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([0, 45, 22]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.bt (of order \(60\), degree \(16\), 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: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(256\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 13.1 | ||
Character | \(\chi\) | \(=\) | 930.13 |
Dual form | 930.2.bt.a.787.1 |
$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(1\) | \(e\left(\frac{11}{30}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.156434 | + | 0.987688i | −0.110616 | + | 0.698401i | ||||
\(3\) | 0.358368 | − | 0.933580i | 0.206904 | − | 0.539003i | ||||
\(4\) | −0.951057 | − | 0.309017i | −0.475528 | − | 0.154508i | ||||
\(5\) | −1.68012 | − | 1.47553i | −0.751374 | − | 0.659877i | ||||
\(6\) | 0.866025 | + | 0.500000i | 0.353553 | + | 0.204124i | ||||
\(7\) | −1.74433 | − | 0.0914165i | −0.659295 | − | 0.0345522i | −0.280245 | − | 0.959928i | \(-0.590416\pi\) |
−0.379050 | + | 0.925376i | \(0.623749\pi\) | |||||||
\(8\) | 0.453990 | − | 0.891007i | 0.160510 | − | 0.315018i | ||||
\(9\) | −0.743145 | − | 0.669131i | −0.247715 | − | 0.223044i | ||||
\(10\) | 1.72019 | − | 1.42861i | 0.543972 | − | 0.451768i | ||||
\(11\) | −0.980098 | − | 4.61100i | −0.295511 | − | 1.39027i | −0.835913 | − | 0.548862i | \(-0.815061\pi\) |
0.540403 | − | 0.841407i | \(-0.318272\pi\) | |||||||
\(12\) | −0.629320 | + | 0.777146i | −0.181669 | + | 0.224343i | ||||
\(13\) | 3.46751 | + | 4.28202i | 0.961714 | + | 1.18762i | 0.982202 | + | 0.187827i | \(0.0601445\pi\) |
−0.0204885 | + | 0.999790i | \(0.506522\pi\) | |||||||
\(14\) | 0.363165 | − | 1.70855i | 0.0970598 | − | 0.456631i | ||||
\(15\) | −1.97963 | + | 1.03975i | −0.511138 | + | 0.268462i | ||||
\(16\) | 0.809017 | + | 0.587785i | 0.202254 | + | 0.146946i | ||||
\(17\) | 2.90979 | + | 4.48068i | 0.705728 | + | 1.08673i | 0.991711 | + | 0.128491i | \(0.0410133\pi\) |
−0.285983 | + | 0.958235i | \(0.592320\pi\) | |||||||
\(18\) | 0.777146 | − | 0.629320i | 0.183175 | − | 0.148332i | ||||
\(19\) | −6.00747 | + | 0.631411i | −1.37821 | + | 0.144856i | −0.764473 | − | 0.644656i | \(-0.777001\pi\) |
−0.613736 | + | 0.789512i | \(0.710334\pi\) | |||||||
\(20\) | 1.14193 | + | 1.92250i | 0.255343 | + | 0.429884i | ||||
\(21\) | −0.710457 | + | 1.59571i | −0.155034 | + | 0.348213i | ||||
\(22\) | 4.70755 | − | 0.246712i | 1.00365 | − | 0.0525992i | ||||
\(23\) | −2.56691 | − | 1.30791i | −0.535238 | − | 0.272717i | 0.165410 | − | 0.986225i | \(-0.447105\pi\) |
−0.700647 | + | 0.713508i | \(0.747105\pi\) | |||||||
\(24\) | −0.669131 | − | 0.743145i | −0.136586 | − | 0.151694i | ||||
\(25\) | 0.645628 | + | 4.95814i | 0.129126 | + | 0.991628i | ||||
\(26\) | −4.77173 | + | 2.75496i | −0.935814 | + | 0.540293i | ||||
\(27\) | −0.891007 | + | 0.453990i | −0.171474 | + | 0.0873705i | ||||
\(28\) | 1.63071 | + | 0.625970i | 0.308175 | + | 0.118297i | ||||
\(29\) | −5.33298 | + | 3.87464i | −0.990310 | + | 0.719503i | −0.959989 | − | 0.280038i | \(-0.909653\pi\) |
−0.0303213 | + | 0.999540i | \(0.509653\pi\) | |||||||
\(30\) | −0.717265 | − | 2.11791i | −0.130954 | − | 0.386675i | ||||
\(31\) | −5.54131 | − | 0.542073i | −0.995249 | − | 0.0973593i | ||||
\(32\) | −0.707107 | + | 0.707107i | −0.125000 | + | 0.125000i | ||||
\(33\) | −4.65597 | − | 0.737434i | −0.810501 | − | 0.128371i | ||||
\(34\) | −4.88071 | + | 2.17303i | −0.837035 | + | 0.372672i | ||||
\(35\) | 2.79580 | + | 2.72740i | 0.472577 | + | 0.461015i | ||||
\(36\) | 0.500000 | + | 0.866025i | 0.0833333 | + | 0.144338i | ||||
\(37\) | −7.71624 | + | 2.06756i | −1.26854 | + | 0.339905i | −0.829472 | − | 0.558549i | \(-0.811358\pi\) |
−0.439069 | + | 0.898453i | \(0.644692\pi\) | |||||||
\(38\) | 0.316139 | − | 6.03228i | 0.0512844 | − | 0.978565i | ||||
\(39\) | 5.24025 | − | 1.70266i | 0.839111 | − | 0.272644i | ||||
\(40\) | −2.07747 | + | 0.827125i | −0.328476 | + | 0.130780i | ||||
\(41\) | 8.01827 | + | 3.56996i | 1.25224 | + | 0.557535i | 0.922303 | − | 0.386467i | \(-0.126305\pi\) |
0.329940 | + | 0.944002i | \(0.392971\pi\) | |||||||
\(42\) | −1.46493 | − | 0.951335i | −0.226043 | − | 0.146794i | ||||
\(43\) | −3.19895 | − | 2.59046i | −0.487836 | − | 0.395042i | 0.353602 | − | 0.935396i | \(-0.384957\pi\) |
−0.841438 | + | 0.540354i | \(0.818290\pi\) | |||||||
\(44\) | −0.492748 | + | 4.68819i | −0.0742846 | + | 0.706771i | ||||
\(45\) | 0.261253 | + | 2.22075i | 0.0389453 | + | 0.331050i | ||||
\(46\) | 1.69336 | − | 2.33070i | 0.249672 | − | 0.343644i | ||||
\(47\) | −0.362705 | + | 0.0574468i | −0.0529059 | + | 0.00837948i | −0.182831 | − | 0.983144i | \(-0.558526\pi\) |
0.129925 | + | 0.991524i | \(0.458526\pi\) | |||||||
\(48\) | 0.838671 | − | 0.544639i | 0.121052 | − | 0.0786119i | ||||
\(49\) | −3.92732 | − | 0.412778i | −0.561046 | − | 0.0589683i | ||||
\(50\) | −4.99810 | − | 0.137945i | −0.706838 | − | 0.0195083i | ||||
\(51\) | 5.22586 | − | 1.11079i | 0.731766 | − | 0.155542i | ||||
\(52\) | −1.97458 | − | 5.14396i | −0.273825 | − | 0.713339i | ||||
\(53\) | −0.692629 | − | 13.2162i | −0.0951400 | − | 1.81538i | −0.463936 | − | 0.885869i | \(-0.653563\pi\) |
0.368796 | − | 0.929510i | \(-0.379770\pi\) | |||||||
\(54\) | −0.309017 | − | 0.951057i | −0.0420519 | − | 0.129422i | ||||
\(55\) | −5.15698 | + | 9.19321i | −0.695366 | + | 1.23961i | ||||
\(56\) | −0.873363 | + | 1.51271i | −0.116708 | + | 0.202144i | ||||
\(57\) | −1.56341 | + | 5.83473i | −0.207079 | + | 0.772829i | ||||
\(58\) | −2.99267 | − | 5.87345i | −0.392957 | − | 0.771222i | ||||
\(59\) | 3.35287 | + | 7.53067i | 0.436506 | + | 0.980409i | 0.989139 | + | 0.146984i | \(0.0469566\pi\) |
−0.552633 | + | 0.833425i | \(0.686377\pi\) | |||||||
\(60\) | 2.20404 | − | 0.377120i | 0.284540 | − | 0.0486860i | ||||
\(61\) | 12.6433i | 1.61881i | 0.587254 | + | 0.809403i | \(0.300209\pi\) | ||||
−0.587254 | + | 0.809403i | \(0.699791\pi\) | |||||||
\(62\) | 1.40225 | − | 5.38829i | 0.178086 | − | 0.684314i | ||||
\(63\) | 1.23512 | + | 1.23512i | 0.155611 | + | 0.155611i | ||||
\(64\) | −0.587785 | − | 0.809017i | −0.0734732 | − | 0.101127i | ||||
\(65\) | 0.492398 | − | 12.3107i | 0.0610744 | − | 1.52696i | ||||
\(66\) | 1.45671 | − | 4.48329i | 0.179309 | − | 0.551855i | ||||
\(67\) | −4.84243 | − | 1.29753i | −0.591597 | − | 0.158518i | −0.0494143 | − | 0.998778i | \(-0.515735\pi\) |
−0.542183 | + | 0.840260i | \(0.682402\pi\) | |||||||
\(68\) | −1.38277 | − | 5.16056i | −0.167685 | − | 0.625810i | ||||
\(69\) | −2.14093 | + | 1.92770i | −0.257738 | + | 0.232068i | ||||
\(70\) | −3.13118 | + | 2.33472i | −0.374248 | + | 0.279053i | ||||
\(71\) | −7.96379 | + | 8.84469i | −0.945128 | + | 1.04967i | 0.0535652 | + | 0.998564i | \(0.482942\pi\) |
−0.998693 | + | 0.0511067i | \(0.983725\pi\) | |||||||
\(72\) | −0.933580 | + | 0.358368i | −0.110024 | + | 0.0422341i | ||||
\(73\) | −1.08270 | + | 1.66722i | −0.126721 | + | 0.195133i | −0.896336 | − | 0.443374i | \(-0.853781\pi\) |
0.769616 | + | 0.638508i | \(0.220448\pi\) | |||||||
\(74\) | −0.835019 | − | 7.94467i | −0.0970690 | − | 0.923549i | ||||
\(75\) | 4.86020 | + | 1.17409i | 0.561207 | + | 0.135573i | ||||
\(76\) | 5.90856 | + | 1.25590i | 0.677758 | + | 0.144062i | ||||
\(77\) | 1.28809 | + | 8.13270i | 0.146792 | + | 0.926808i | ||||
\(78\) | 0.861942 | + | 5.44209i | 0.0975957 | + | 0.616195i | ||||
\(79\) | 5.23825 | + | 1.11343i | 0.589350 | + | 0.125270i | 0.492928 | − | 0.870070i | \(-0.335927\pi\) |
0.0964222 | + | 0.995341i | \(0.469260\pi\) | |||||||
\(80\) | −0.491954 | − | 2.18128i | −0.0550021 | − | 0.243874i | ||||
\(81\) | 0.104528 | + | 0.994522i | 0.0116143 | + | 0.110502i | ||||
\(82\) | −4.78035 | + | 7.36109i | −0.527901 | + | 0.812896i | ||||
\(83\) | 15.5263 | − | 5.96000i | 1.70424 | − | 0.654195i | 0.705713 | − | 0.708498i | \(-0.250627\pi\) |
0.998525 | + | 0.0543030i | \(0.0172937\pi\) | |||||||
\(84\) | 1.16879 | − | 1.29807i | 0.127525 | − | 0.141631i | ||||
\(85\) | 1.72257 | − | 11.8216i | 0.186839 | − | 1.28223i | ||||
\(86\) | 3.05900 | − | 2.75433i | 0.329860 | − | 0.297007i | ||||
\(87\) | 1.70612 | + | 6.36732i | 0.182915 | + | 0.682648i | ||||
\(88\) | −4.55338 | − | 1.22008i | −0.485392 | − | 0.130060i | ||||
\(89\) | −0.647710 | + | 1.99345i | −0.0686571 | + | 0.211305i | −0.979498 | − | 0.201452i | \(-0.935434\pi\) |
0.910841 | + | 0.412757i | \(0.135434\pi\) | |||||||
\(90\) | −2.23428 | − | 0.0893656i | −0.235514 | − | 0.00941997i | ||||
\(91\) | −5.65704 | − | 7.78624i | −0.593018 | − | 0.816220i | ||||
\(92\) | 2.03711 | + | 2.03711i | 0.212383 | + | 0.212383i | ||||
\(93\) | −2.49190 | + | 4.97900i | −0.258398 | + | 0.516298i | ||||
\(94\) | − | 0.367226i | − | 0.0378765i | ||||||
\(95\) | 11.0250 | + | 7.80335i | 1.13114 | + | 0.800607i | ||||
\(96\) | 0.406737 | + | 0.913545i | 0.0415124 | + | 0.0932383i | ||||
\(97\) | −0.303313 | − | 0.595285i | −0.0307967 | − | 0.0604420i | 0.875095 | − | 0.483950i | \(-0.160798\pi\) |
−0.905892 | + | 0.423508i | \(0.860798\pi\) | |||||||
\(98\) | 1.02206 | − | 3.81439i | 0.103244 | − | 0.385312i | ||||
\(99\) | −2.35700 | + | 4.08245i | −0.236888 | + | 0.410302i | ||||
\(100\) | 0.918121 | − | 4.91498i | 0.0918121 | − | 0.491498i | ||||
\(101\) | −3.53810 | − | 10.8891i | −0.352054 | − | 1.08351i | −0.957698 | − | 0.287775i | \(-0.907085\pi\) |
0.605644 | − | 0.795736i | \(-0.292915\pi\) | |||||||
\(102\) | 0.279610 | + | 5.33528i | 0.0276855 | + | 0.528272i | ||||
\(103\) | −1.30182 | − | 3.39137i | −0.128272 | − | 0.334161i | 0.854372 | − | 0.519663i | \(-0.173942\pi\) |
−0.982644 | + | 0.185502i | \(0.940609\pi\) | |||||||
\(104\) | 5.38952 | − | 1.14558i | 0.528486 | − | 0.112333i | ||||
\(105\) | 3.54818 | − | 1.63269i | 0.346267 | − | 0.159335i | ||||
\(106\) | 13.1618 | + | 1.38336i | 1.27839 | + | 0.134364i | ||||
\(107\) | −10.5286 | + | 6.83732i | −1.01783 | + | 0.660989i | −0.941820 | − | 0.336118i | \(-0.890886\pi\) |
−0.0760138 | + | 0.997107i | \(0.524219\pi\) | |||||||
\(108\) | 0.987688 | − | 0.156434i | 0.0950404 | − | 0.0150529i | ||||
\(109\) | 5.08156 | − | 6.99417i | 0.486725 | − | 0.669920i | −0.493055 | − | 0.869998i | \(-0.664120\pi\) |
0.979780 | + | 0.200079i | \(0.0641198\pi\) | |||||||
\(110\) | −8.27329 | − | 6.53162i | −0.788828 | − | 0.622765i | ||||
\(111\) | −0.835019 | + | 7.94467i | −0.0792565 | + | 0.754075i | ||||
\(112\) | −1.35746 | − | 1.09925i | −0.128268 | − | 0.103869i | ||||
\(113\) | −6.52586 | − | 4.23795i | −0.613902 | − | 0.398672i | 0.199899 | − | 0.979816i | \(-0.435939\pi\) |
−0.813801 | + | 0.581144i | \(0.802605\pi\) | |||||||
\(114\) | −5.51833 | − | 2.45692i | −0.516839 | − | 0.230111i | ||||
\(115\) | 2.38287 | + | 5.98499i | 0.222204 | + | 0.558103i | ||||
\(116\) | 6.26930 | − | 2.03702i | 0.582090 | − | 0.189132i | ||||
\(117\) | 0.288367 | − | 5.50237i | 0.0266596 | − | 0.508695i | ||||
\(118\) | −7.96245 | + | 2.13353i | −0.733003 | + | 0.196408i | ||||
\(119\) | −4.66603 | − | 8.08180i | −0.427734 | − | 0.740858i | ||||
\(120\) | 0.0276901 | + | 2.23590i | 0.00252775 | + | 0.204108i | ||||
\(121\) | −10.2517 | + | 4.56435i | −0.931973 | + | 0.414941i | ||||
\(122\) | −12.4876 | − | 1.97784i | −1.13058 | − | 0.179066i | ||||
\(123\) | 6.20634 | − | 6.20634i | 0.559607 | − | 0.559607i | ||||
\(124\) | 5.10259 | + | 2.22790i | 0.458226 | + | 0.200072i | ||||
\(125\) | 6.23115 | − | 9.28293i | 0.557331 | − | 0.830291i | ||||
\(126\) | −1.41313 | + | 1.02670i | −0.125892 | + | 0.0914656i | ||||
\(127\) | −4.77614 | − | 1.83339i | −0.423814 | − | 0.162687i | 0.137107 | − | 0.990556i | \(-0.456220\pi\) |
−0.560921 | + | 0.827869i | \(0.689553\pi\) | |||||||
\(128\) | 0.891007 | − | 0.453990i | 0.0787546 | − | 0.0401275i | ||||
\(129\) | −3.56481 | + | 2.05814i | −0.313864 | + | 0.181209i | ||||
\(130\) | 12.0821 | + | 2.41216i | 1.05967 | + | 0.211560i | ||||
\(131\) | −3.73054 | − | 4.14319i | −0.325939 | − | 0.361992i | 0.557797 | − | 0.829977i | \(-0.311647\pi\) |
−0.883736 | + | 0.467985i | \(0.844980\pi\) | |||||||
\(132\) | 4.20021 | + | 2.14012i | 0.365582 | + | 0.186273i | ||||
\(133\) | 10.5367 | − | 0.552207i | 0.913651 | − | 0.0478824i | ||||
\(134\) | 2.03908 | − | 4.57984i | 0.176149 | − | 0.395638i | ||||
\(135\) | 2.16688 | + | 0.551946i | 0.186495 | + | 0.0475040i | ||||
\(136\) | 5.31334 | − | 0.558454i | 0.455615 | − | 0.0478871i | ||||
\(137\) | 14.2202 | − | 11.5153i | 1.21491 | − | 0.983818i | 0.214940 | − | 0.976627i | \(-0.431044\pi\) |
0.999974 | − | 0.00719060i | \(-0.00228886\pi\) | |||||||
\(138\) | −1.56906 | − | 2.41613i | −0.133567 | − | 0.205675i | ||||
\(139\) | −6.38762 | − | 4.64088i | −0.541791 | − | 0.393634i | 0.282959 | − | 0.959132i | \(-0.408684\pi\) |
−0.824750 | + | 0.565498i | \(0.808684\pi\) | |||||||
\(140\) | −1.81615 | − | 3.45786i | −0.153493 | − | 0.292243i | ||||
\(141\) | −0.0763506 | + | 0.359201i | −0.00642988 | + | 0.0302502i | ||||
\(142\) | −7.48998 | − | 9.24936i | −0.628545 | − | 0.776189i | ||||
\(143\) | 16.3459 | − | 20.1855i | 1.36691 | − | 1.68799i | ||||
\(144\) | −0.207912 | − | 0.978148i | −0.0173260 | − | 0.0815123i | ||||
\(145\) | 14.6772 | + | 1.35910i | 1.21888 | + | 0.112867i | ||||
\(146\) | −1.47732 | − | 1.33018i | −0.122264 | − | 0.110087i | ||||
\(147\) | −1.79279 | + | 3.51854i | −0.147867 | + | 0.290204i | ||||
\(148\) | 7.97749 | + | 0.418082i | 0.655745 | + | 0.0343662i | ||||
\(149\) | −13.5473 | − | 7.82152i | −1.10984 | − | 0.640764i | −0.171049 | − | 0.985263i | \(-0.554716\pi\) |
−0.938787 | + | 0.344499i | \(0.888049\pi\) | |||||||
\(150\) | −1.91994 | + | 4.61669i | −0.156762 | + | 0.376951i | ||||
\(151\) | 3.26173 | + | 1.05980i | 0.265436 | + | 0.0862454i | 0.438711 | − | 0.898628i | \(-0.355435\pi\) |
−0.173275 | + | 0.984873i | \(0.555435\pi\) | |||||||
\(152\) | −2.16474 | + | 5.63935i | −0.175584 | + | 0.457412i | ||||
\(153\) | 0.835767 | − | 5.27683i | 0.0675678 | − | 0.426606i | ||||
\(154\) | −8.23408 | −0.663521 | ||||||||
\(155\) | 8.51024 | + | 9.08712i | 0.683559 | + | 0.729895i | ||||
\(156\) | −5.50992 | −0.441147 | ||||||||
\(157\) | −1.29550 | + | 8.17946i | −0.103392 | + | 0.652792i | 0.880502 | + | 0.474042i | \(0.157205\pi\) |
−0.983895 | + | 0.178750i | \(0.942795\pi\) | |||||||
\(158\) | −1.91916 | + | 4.99959i | −0.152680 | + | 0.397746i | ||||
\(159\) | −12.5866 | − | 4.08962i | −0.998179 | − | 0.324328i | ||||
\(160\) | 2.23138 | − | 0.144670i | 0.176406 | − | 0.0114372i | ||||
\(161\) | 4.35798 | + | 2.51608i | 0.343457 | + | 0.198295i | ||||
\(162\) | −0.998630 | − | 0.0523360i | −0.0784597 | − | 0.00411190i | ||||
\(163\) | −2.90762 | + | 5.70653i | −0.227743 | + | 0.446970i | −0.976395 | − | 0.215993i | \(-0.930701\pi\) |
0.748652 | + | 0.662963i | \(0.230701\pi\) | |||||||
\(164\) | −6.52265 | − | 5.87302i | −0.509333 | − | 0.458606i | ||||
\(165\) | 6.73450 | + | 8.10900i | 0.524280 | + | 0.631285i | ||||
\(166\) | 3.45777 | + | 16.2675i | 0.268375 | + | 1.26261i | ||||
\(167\) | 14.3366 | − | 17.7043i | 1.10940 | − | 1.37000i | 0.187642 | − | 0.982237i | \(-0.439915\pi\) |
0.921760 | − | 0.387761i | \(-0.126751\pi\) | |||||||
\(168\) | 1.09925 | + | 1.35746i | 0.0848090 | + | 0.104730i | ||||
\(169\) | −3.60919 | + | 16.9799i | −0.277630 | + | 1.30615i | ||||
\(170\) | 11.4066 | + | 3.55067i | 0.874844 | + | 0.272324i | ||||
\(171\) | 4.88692 | + | 3.55055i | 0.373712 | + | 0.271518i | ||||
\(172\) | 2.24189 | + | 3.45221i | 0.170942 | + | 0.263228i | ||||
\(173\) | −16.5665 | + | 13.4153i | −1.25953 | + | 1.01994i | −0.261019 | + | 0.965334i | \(0.584059\pi\) |
−0.998508 | + | 0.0546109i | \(0.982608\pi\) | |||||||
\(174\) | −6.55582 | + | 0.689044i | −0.496995 | + | 0.0522363i | ||||
\(175\) | −0.672933 | − | 8.70766i | −0.0508690 | − | 0.658237i | ||||
\(176\) | 1.91736 | − | 4.30646i | 0.144526 | − | 0.324612i | ||||
\(177\) | 8.23204 | − | 0.431423i | 0.618758 | − | 0.0324277i | ||||
\(178\) | −1.86758 | − | 0.951579i | −0.139981 | − | 0.0713239i | ||||
\(179\) | −4.50390 | − | 5.00209i | −0.336638 | − | 0.373874i | 0.550930 | − | 0.834551i | \(-0.314273\pi\) |
−0.887568 | + | 0.460678i | \(0.847606\pi\) | |||||||
\(180\) | 0.437784 | − | 2.19279i | 0.0326305 | − | 0.163441i | ||||
\(181\) | −7.79494 | + | 4.50041i | −0.579394 | + | 0.334513i | −0.760892 | − | 0.648878i | \(-0.775238\pi\) |
0.181499 | + | 0.983391i | \(0.441905\pi\) | |||||||
\(182\) | 8.57533 | − | 4.36935i | 0.635646 | − | 0.323878i | ||||
\(183\) | 11.8035 | + | 4.53095i | 0.872541 | + | 0.334937i | ||||
\(184\) | −2.33070 | + | 1.69336i | −0.171822 | + | 0.124836i | ||||
\(185\) | 16.0150 | + | 7.91178i | 1.17744 | + | 0.581685i | ||||
\(186\) | −4.52788 | − | 3.24011i | −0.332000 | − | 0.237576i | ||||
\(187\) | 17.8085 | − | 17.8085i | 1.30229 | − | 1.30229i | ||||
\(188\) | 0.362705 | + | 0.0574468i | 0.0264530 | + | 0.00418974i | ||||
\(189\) | 1.59571 | − | 0.710457i | 0.116071 | − | 0.0516781i | ||||
\(190\) | −9.43196 | + | 9.66851i | −0.684266 | + | 0.701427i | ||||
\(191\) | 0.544986 | + | 0.943943i | 0.0394338 | + | 0.0683013i | 0.885069 | − | 0.465460i | \(-0.154111\pi\) |
−0.845635 | + | 0.533762i | \(0.820778\pi\) | |||||||
\(192\) | −0.965926 | + | 0.258819i | −0.0697097 | + | 0.0186787i | ||||
\(193\) | −0.0479330 | + | 0.914615i | −0.00345029 | + | 0.0658355i | −0.999812 | − | 0.0193898i | \(-0.993828\pi\) |
0.996362 | + | 0.0852252i | \(0.0271610\pi\) | |||||||
\(194\) | 0.635404 | − | 0.206455i | 0.0456194 | − | 0.0148226i | ||||
\(195\) | −11.3166 | − | 4.87146i | −0.810398 | − | 0.348853i | ||||
\(196\) | 3.60755 | + | 1.60618i | 0.257682 | + | 0.114727i | ||||
\(197\) | −19.0049 | − | 12.3419i | −1.35404 | − | 0.879327i | −0.355576 | − | 0.934647i | \(-0.615715\pi\) |
−0.998469 | + | 0.0553204i | \(0.982382\pi\) | |||||||
\(198\) | −3.66347 | − | 2.96662i | −0.260352 | − | 0.210829i | ||||
\(199\) | −2.18589 | + | 20.7973i | −0.154954 | + | 1.47428i | 0.590127 | + | 0.807310i | \(0.299078\pi\) |
−0.745081 | + | 0.666974i | \(0.767589\pi\) | |||||||
\(200\) | 4.71085 | + | 1.67569i | 0.333107 | + | 0.118489i | ||||
\(201\) | −2.94672 | + | 4.05581i | −0.207845 | + | 0.286075i | ||||
\(202\) | 11.3086 | − | 1.79110i | 0.795668 | − | 0.126021i | ||||
\(203\) | 9.65670 | − | 6.27113i | 0.677767 | − | 0.440147i | ||||
\(204\) | −5.31334 | − | 0.558454i | −0.372008 | − | 0.0390996i | ||||
\(205\) | −8.20410 | − | 17.8292i | −0.572999 | − | 1.24524i | ||||
\(206\) | 3.55326 | − | 0.755269i | 0.247568 | − | 0.0526221i | ||||
\(207\) | 1.03243 | + | 2.68956i | 0.0717585 | + | 0.186937i | ||||
\(208\) | 0.288367 | + | 5.50237i | 0.0199947 | + | 0.381521i | ||||
\(209\) | 8.79934 | + | 27.0816i | 0.608663 | + | 1.87327i | ||||
\(210\) | 1.05754 | + | 3.75990i | 0.0729769 | + | 0.259458i | ||||
\(211\) | 2.54351 | − | 4.40549i | 0.175102 | − | 0.303286i | −0.765094 | − | 0.643918i | \(-0.777308\pi\) |
0.940197 | + | 0.340632i | \(0.110641\pi\) | |||||||
\(212\) | −3.42529 | + | 12.7833i | −0.235250 | + | 0.877964i | ||||
\(213\) | 5.40326 | + | 10.6045i | 0.370225 | + | 0.726608i | ||||
\(214\) | −5.10612 | − | 11.4685i | −0.349047 | − | 0.783972i | ||||
\(215\) | 1.55234 | + | 9.07244i | 0.105868 | + | 0.618736i | ||||
\(216\) | 1.00000i | 0.0680414i | ||||||||
\(217\) | 9.61633 | + | 1.45212i | 0.652799 | + | 0.0985765i | ||||
\(218\) | 6.11313 | + | 6.11313i | 0.414033 | + | 0.414033i | ||||
\(219\) | 1.16848 | + | 1.60827i | 0.0789583 | + | 0.108677i | ||||
\(220\) | 7.74543 | − | 7.14967i | 0.522197 | − | 0.482030i | ||||
\(221\) | −9.09664 | + | 27.9966i | −0.611906 | + | 1.88325i | ||||
\(222\) | −7.71624 | − | 2.06756i | −0.517880 | − | 0.138765i | ||||
\(223\) | −3.57374 | − | 13.3374i | −0.239315 | − | 0.893137i | −0.976156 | − | 0.217071i | \(-0.930350\pi\) |
0.736841 | − | 0.676067i | \(-0.236317\pi\) | |||||||
\(224\) | 1.29807 | − | 1.16879i | 0.0867309 | − | 0.0780929i | ||||
\(225\) | 2.83785 | − | 4.11663i | 0.189190 | − | 0.274442i | ||||
\(226\) | 5.20664 | − | 5.78256i | 0.346340 | − | 0.384650i | ||||
\(227\) | 5.47491 | − | 2.10162i | 0.363382 | − | 0.139489i | −0.169825 | − | 0.985474i | \(-0.554320\pi\) |
0.533207 | + | 0.845985i | \(0.320987\pi\) | |||||||
\(228\) | 3.28993 | − | 5.06604i | 0.217881 | − | 0.335507i | ||||
\(229\) | 1.00934 | + | 9.60326i | 0.0666993 | + | 0.634601i | 0.975896 | + | 0.218235i | \(0.0700299\pi\) |
−0.909197 | + | 0.416366i | \(0.863303\pi\) | |||||||
\(230\) | −6.28407 | + | 1.41728i | −0.414359 | + | 0.0934523i | ||||
\(231\) | 8.05415 | + | 1.71196i | 0.529924 | + | 0.112639i | ||||
\(232\) | 1.03121 | + | 6.51077i | 0.0677019 | + | 0.427453i | ||||
\(233\) | 4.46620 | + | 28.1985i | 0.292590 | + | 1.84734i | 0.496094 | + | 0.868269i | \(0.334767\pi\) |
−0.203503 | + | 0.979074i | \(0.565233\pi\) | |||||||
\(234\) | 5.38952 | + | 1.14558i | 0.352324 | + | 0.0748888i | ||||
\(235\) | 0.694153 | + | 0.438664i | 0.0452816 | + | 0.0286153i | ||||
\(236\) | −0.861664 | − | 8.19818i | −0.0560895 | − | 0.533656i | ||||
\(237\) | 2.91669 | − | 4.49132i | 0.189460 | − | 0.291742i | ||||
\(238\) | 8.71223 | − | 3.34431i | 0.564730 | − | 0.216780i | ||||
\(239\) | −7.63430 | + | 8.47875i | −0.493822 | + | 0.548445i | −0.937611 | − | 0.347687i | \(-0.886967\pi\) |
0.443789 | + | 0.896131i | \(0.353634\pi\) | |||||||
\(240\) | −2.21270 | − | 0.322422i | −0.142829 | − | 0.0208123i | ||||
\(241\) | 21.0969 | − | 18.9958i | 1.35897 | − | 1.22362i | 0.408522 | − | 0.912749i | \(-0.366044\pi\) |
0.950451 | − | 0.310876i | \(-0.100622\pi\) | |||||||
\(242\) | −2.90444 | − | 10.8395i | −0.186704 | − | 0.696790i | ||||
\(243\) | 0.965926 | + | 0.258819i | 0.0619642 | + | 0.0166032i | ||||
\(244\) | 3.90699 | − | 12.0245i | 0.250119 | − | 0.769788i | ||||
\(245\) | 5.98931 | + | 6.48839i | 0.382643 | + | 0.414528i | ||||
\(246\) | 5.15904 | + | 7.10082i | 0.328929 | + | 0.452731i | ||||
\(247\) | −23.5347 | − | 23.5347i | −1.49747 | − | 1.49747i | ||||
\(248\) | −2.99869 | + | 4.69125i | −0.190417 | + | 0.297895i | ||||
\(249\) | − | 16.6310i | − | 1.05394i | ||||||
\(250\) | 8.19388 | + | 7.60660i | 0.518226 | + | 0.481084i | ||||
\(251\) | −9.13175 | − | 20.5102i | −0.576391 | − | 1.29459i | −0.932844 | − | 0.360281i | \(-0.882681\pi\) |
0.356453 | − | 0.934313i | \(-0.383986\pi\) | |||||||
\(252\) | −0.792997 | − | 1.55634i | −0.0499541 | − | 0.0980404i | ||||
\(253\) | −3.51493 | + | 13.1179i | −0.220982 | + | 0.824715i | ||||
\(254\) | 2.55797 | − | 4.43053i | 0.160501 | − | 0.277996i | ||||
\(255\) | −10.4191 | − | 5.84464i | −0.652468 | − | 0.366005i | ||||
\(256\) | 0.309017 | + | 0.951057i | 0.0193136 | + | 0.0594410i | ||||
\(257\) | −0.472556 | − | 9.01691i | −0.0294772 | − | 0.562459i | −0.972951 | − | 0.231012i | \(-0.925796\pi\) |
0.943474 | − | 0.331447i | \(-0.107537\pi\) | |||||||
\(258\) | −1.47514 | − | 3.84288i | −0.0918385 | − | 0.239247i | ||||
\(259\) | 13.6487 | − | 2.90112i | 0.848088 | − | 0.180267i | ||||
\(260\) | −4.27252 | + | 11.5560i | −0.264970 | + | 0.716675i | ||||
\(261\) | 6.55582 | + | 0.689044i | 0.405795 | + | 0.0426508i | ||||
\(262\) | 4.67577 | − | 3.03648i | 0.288870 | − | 0.187594i | ||||
\(263\) | 20.4229 | − | 3.23468i | 1.25933 | − | 0.199459i | 0.509143 | − | 0.860682i | \(-0.329962\pi\) |
0.750189 | + | 0.661223i | \(0.229962\pi\) | |||||||
\(264\) | −2.77083 | + | 3.81371i | −0.170533 | + | 0.234718i | ||||
\(265\) | −18.3371 | + | 23.2268i | −1.12644 | + | 1.42681i | ||||
\(266\) | −1.10290 | + | 10.4934i | −0.0676232 | + | 0.643392i | ||||
\(267\) | 1.62892 | + | 1.31908i | 0.0996885 | + | 0.0807262i | ||||
\(268\) | 4.20447 | + | 2.73042i | 0.256829 | + | 0.166787i | ||||
\(269\) | −16.0417 | − | 7.14223i | −0.978080 | − | 0.435469i | −0.145490 | − | 0.989360i | \(-0.546476\pi\) |
−0.832590 | + | 0.553891i | \(0.813143\pi\) | |||||||
\(270\) | −0.884125 | + | 2.05386i | −0.0538061 | + | 0.124994i | ||||
\(271\) | −19.6089 | + | 6.37132i | −1.19116 | + | 0.387030i | −0.836500 | − | 0.547966i | \(-0.815402\pi\) |
−0.354656 | + | 0.934997i | \(0.615402\pi\) | |||||||
\(272\) | −0.279610 | + | 5.33528i | −0.0169539 | + | 0.323499i | ||||
\(273\) | −9.29638 | + | 2.49096i | −0.562643 | + | 0.150760i | ||||
\(274\) | 9.14899 | + | 15.8465i | 0.552711 | + | 0.957323i | ||||
\(275\) | 22.2292 | − | 7.83645i | 1.34047 | − | 0.472556i | ||||
\(276\) | 2.63184 | − | 1.17177i | 0.158418 | − | 0.0705324i | ||||
\(277\) | 24.7290 | + | 3.91669i | 1.48582 | + | 0.235331i | 0.845997 | − | 0.533188i | \(-0.179006\pi\) |
0.639826 | + | 0.768519i | \(0.279006\pi\) | |||||||
\(278\) | 5.58298 | − | 5.58298i | 0.334845 | − | 0.334845i | ||||
\(279\) | 3.75528 | + | 4.11070i | 0.224823 | + | 0.246101i | ||||
\(280\) | 3.69940 | − | 1.25286i | 0.221082 | − | 0.0748730i | ||||
\(281\) | 5.61289 | − | 4.07800i | 0.334837 | − | 0.243273i | −0.407643 | − | 0.913141i | \(-0.633649\pi\) |
0.742480 | + | 0.669868i | \(0.233649\pi\) | |||||||
\(282\) | −0.342835 | − | 0.131602i | −0.0204155 | − | 0.00783679i | ||||
\(283\) | −21.9298 | + | 11.1738i | −1.30359 | + | 0.664213i | −0.961332 | − | 0.275393i | \(-0.911192\pi\) |
−0.342259 | + | 0.939606i | \(0.611192\pi\) | |||||||
\(284\) | 10.3072 | − | 5.95085i | 0.611618 | − | 0.353118i | ||||
\(285\) | 11.2360 | − | 7.49621i | 0.665566 | − | 0.444037i | ||||
\(286\) | 17.3799 | + | 19.3023i | 1.02769 | + | 1.14137i | ||||
\(287\) | −13.6602 | − | 6.96020i | −0.806334 | − | 0.410848i | ||||
\(288\) | 0.998630 | − | 0.0523360i | 0.0588448 | − | 0.00308393i | ||||
\(289\) | −4.69513 | + | 10.5454i | −0.276184 | + | 0.620320i | ||||
\(290\) | −3.63839 | + | 14.2839i | −0.213654 | + | 0.838780i | ||||
\(291\) | −0.664444 | + | 0.0698359i | −0.0389504 | + | 0.00409385i | ||||
\(292\) | 1.54491 | − | 1.25104i | 0.0904091 | − | 0.0732118i | ||||
\(293\) | −5.72278 | − | 8.81231i | −0.334328 | − | 0.514821i | 0.631026 | − | 0.775761i | \(-0.282634\pi\) |
−0.965355 | + | 0.260941i | \(0.915967\pi\) | |||||||
\(294\) | −3.19477 | − | 2.32114i | −0.186323 | − | 0.135371i | ||||
\(295\) | 5.47848 | − | 17.5997i | 0.318970 | − | 1.02469i | ||||
\(296\) | −1.66089 | + | 7.81387i | −0.0965372 | + | 0.454172i | ||||
\(297\) | 2.96662 | + | 3.66347i | 0.172141 | + | 0.212576i | ||||
\(298\) | 9.84449 | − | 12.1569i | 0.570276 | − | 0.704232i | ||||
\(299\) | −3.30031 | − | 15.5267i | −0.190862 | − | 0.897933i | ||||
\(300\) | −4.25951 | − | 2.61851i | −0.245923 | − | 0.151180i | ||||
\(301\) | 5.34322 | + | 4.81106i | 0.307978 | + | 0.277305i | ||||
\(302\) | −1.55700 | + | 3.05579i | −0.0895953 | + | 0.175841i | ||||
\(303\) | −11.4338 | − | 0.599222i | −0.656856 | − | 0.0344244i | ||||
\(304\) | −5.23128 | − | 3.02028i | −0.300034 | − | 0.173225i | ||||
\(305\) | 18.6555 | − | 21.2423i | 1.06821 | − | 1.21633i | ||||
\(306\) | 5.08112 | + | 1.65096i | 0.290468 | + | 0.0943788i | ||||
\(307\) | −0.867897 | + | 2.26095i | −0.0495335 | + | 0.129039i | −0.956115 | − | 0.292992i | \(-0.905349\pi\) |
0.906582 | + | 0.422031i | \(0.138683\pi\) | |||||||
\(308\) | 1.28809 | − | 8.13270i | 0.0733960 | − | 0.463404i | ||||
\(309\) | −3.63264 | −0.206654 | ||||||||
\(310\) | −10.3065 | + | 6.98393i | −0.585372 | + | 0.396661i | ||||
\(311\) | −15.2853 | −0.866749 | −0.433375 | − | 0.901214i | \(-0.642677\pi\) | ||||
−0.433375 | + | 0.901214i | \(0.642677\pi\) | |||||||
\(312\) | 0.861942 | − | 5.44209i | 0.0487979 | − | 0.308098i | ||||
\(313\) | 6.07902 | − | 15.8364i | 0.343607 | − | 0.895126i | −0.647501 | − | 0.762065i | \(-0.724186\pi\) |
0.991108 | − | 0.133062i | \(-0.0424808\pi\) | |||||||
\(314\) | −7.87609 | − | 2.55910i | −0.444474 | − | 0.144418i | ||||
\(315\) | −0.252699 | − | 3.89761i | −0.0142380 | − | 0.219606i | ||||
\(316\) | −4.63781 | − | 2.67764i | −0.260897 | − | 0.150629i | ||||
\(317\) | 10.4630 | + | 0.548341i | 0.587659 | + | 0.0307979i | 0.343849 | − | 0.939025i | \(-0.388269\pi\) |
0.243810 | + | 0.969823i | \(0.421603\pi\) | |||||||
\(318\) | 6.00824 | − | 11.7918i | 0.336926 | − | 0.661254i | ||||
\(319\) | 23.0928 | + | 20.7929i | 1.29295 | + | 1.16418i | ||||
\(320\) | −0.206176 | + | 2.22654i | −0.0115256 | + | 0.124468i | ||||
\(321\) | 2.61009 | + | 12.2795i | 0.145681 | + | 0.685377i | ||||
\(322\) | −3.16684 | + | 3.91072i | −0.176481 | + | 0.217936i | ||||
\(323\) | −20.3096 | − | 25.0803i | −1.13006 | − | 1.39551i | ||||
\(324\) | 0.207912 | − | 0.978148i | 0.0115506 | − | 0.0543415i | ||||
\(325\) | −18.9921 | + | 19.9570i | −1.05349 | + | 1.10701i | ||||
\(326\) | −5.18142 | − | 3.76452i | −0.286972 | − | 0.208498i | ||||
\(327\) | −4.70855 | − | 7.25053i | −0.260383 | − | 0.400955i | ||||
\(328\) | 6.82108 | − | 5.52360i | 0.376631 | − | 0.304990i | ||||
\(329\) | 0.637929 | − | 0.0670490i | 0.0351702 | − | 0.00369653i | ||||
\(330\) | −9.06268 | + | 5.38306i | −0.498884 | + | 0.296328i | ||||
\(331\) | 11.9854 | − | 26.9195i | 0.658775 | − | 1.47963i | −0.206558 | − | 0.978434i | \(-0.566226\pi\) |
0.865333 | − | 0.501198i | \(-0.167107\pi\) | |||||||
\(332\) | −16.6082 | + | 0.870397i | −0.911492 | + | 0.0477693i | ||||
\(333\) | 7.11775 | + | 3.62667i | 0.390050 | + | 0.198740i | ||||
\(334\) | 15.2436 | + | 16.9297i | 0.834091 | + | 0.926352i | ||||
\(335\) | 6.22135 | + | 9.32516i | 0.339909 | + | 0.509488i | ||||
\(336\) | −1.51271 | + | 0.873363i | −0.0825250 | + | 0.0476458i | ||||
\(337\) | −16.6779 | + | 8.49784i | −0.908506 | + | 0.462907i | −0.844812 | − | 0.535063i | \(-0.820288\pi\) |
−0.0636933 | + | 0.997970i | \(0.520288\pi\) | |||||||
\(338\) | −16.2063 | − | 6.22100i | −0.881505 | − | 0.338378i | ||||
\(339\) | −6.29512 | + | 4.57367i | −0.341904 | + | 0.248408i | ||||
\(340\) | −5.29134 | + | 10.7107i | −0.286963 | + | 0.580869i | ||||
\(341\) | 2.93153 | + | 26.0823i | 0.158751 | + | 1.41243i | ||||
\(342\) | −4.27132 | + | 4.27132i | −0.230967 | + | 0.230967i | ||||
\(343\) | 18.8893 | + | 2.99178i | 1.01993 | + | 0.161541i | ||||
\(344\) | −3.76041 | + | 1.67424i | −0.202748 | + | 0.0902692i | ||||
\(345\) | 6.44142 | − | 0.0797727i | 0.346794 | − | 0.00429482i | ||||
\(346\) | −10.6585 | − | 18.4611i | −0.573007 | − | 0.992477i | ||||
\(347\) | −0.561575 | + | 0.150474i | −0.0301469 | + | 0.00807784i | −0.273861 | − | 0.961769i | \(-0.588301\pi\) |
0.243714 | + | 0.969847i | \(0.421634\pi\) | |||||||
\(348\) | 0.344995 | − | 6.58290i | 0.0184937 | − | 0.352880i | ||||
\(349\) | 9.60320 | − | 3.12027i | 0.514048 | − | 0.167024i | −0.0404946 | − | 0.999180i | \(-0.512893\pi\) |
0.554542 | + | 0.832156i | \(0.312893\pi\) | |||||||
\(350\) | 8.70573 | + | 0.697530i | 0.465341 | + | 0.0372846i | ||||
\(351\) | −5.03357 | − | 2.24109i | −0.268672 | − | 0.119620i | ||||
\(352\) | 3.95350 | + | 2.56743i | 0.210722 | + | 0.136845i | ||||
\(353\) | −9.72158 | − | 7.87238i | −0.517428 | − | 0.419005i | 0.334711 | − | 0.942321i | \(-0.391361\pi\) |
−0.852139 | + | 0.523316i | \(0.824695\pi\) | |||||||
\(354\) | −0.861664 | + | 8.19818i | −0.0457969 | + | 0.435728i | ||||
\(355\) | 26.4307 | − | 3.10936i | 1.40280 | − | 0.165028i | ||||
\(356\) | 1.23202 | − | 1.69573i | 0.0652968 | − | 0.0898733i | ||||
\(357\) | −9.21717 | + | 1.45986i | −0.487824 | + | 0.0772638i | ||||
\(358\) | 5.64507 | − | 3.66595i | 0.298351 | − | 0.193752i | ||||
\(359\) | 22.5212 | + | 2.36707i | 1.18862 | + | 0.124929i | 0.678123 | − | 0.734949i | \(-0.262794\pi\) |
0.510500 | + | 0.859878i | \(0.329460\pi\) | |||||||
\(360\) | 2.09731 | + | 0.775423i | 0.110538 | + | 0.0408684i | ||||
\(361\) | 17.1062 | − | 3.63604i | 0.900327 | − | 0.191370i | ||||
\(362\) | −3.22561 | − | 8.40299i | −0.169534 | − | 0.441652i | ||||
\(363\) | 0.587308 | + | 11.2065i | 0.0308257 | + | 0.588189i | ||||
\(364\) | 2.97408 | + | 9.15327i | 0.155884 | + | 0.479762i | ||||
\(365\) | 4.27910 | − | 1.20357i | 0.223979 | − | 0.0629977i | ||||
\(366\) | −6.32164 | + | 10.9494i | −0.330437 | + | 0.572334i | ||||
\(367\) | −6.13907 | + | 22.9113i | −0.320457 | + | 1.19596i | 0.598344 | + | 0.801239i | \(0.295826\pi\) |
−0.918801 | + | 0.394721i | \(0.870841\pi\) | |||||||
\(368\) | −1.30791 | − | 2.56691i | −0.0681793 | − | 0.133809i | ||||
\(369\) | −3.56996 | − | 8.01827i | −0.185845 | − | 0.417415i | ||||
\(370\) | −10.3197 | + | 14.5801i | −0.536494 | + | 0.757985i | ||||
\(371\) | 23.1167i | 1.20016i | ||||||||
\(372\) | 3.90853 | − | 3.96527i | 0.202648 | − | 0.205590i | ||||
\(373\) | 15.2800 | + | 15.2800i | 0.791167 | + | 0.791167i | 0.981684 | − | 0.190517i | \(-0.0610165\pi\) |
−0.190517 | + | 0.981684i | \(0.561016\pi\) | |||||||
\(374\) | 14.8034 | + | 20.3752i | 0.765467 | + | 1.05357i | ||||
\(375\) | −6.43332 | − | 9.14398i | −0.332215 | − | 0.472193i | ||||
\(376\) | −0.113479 | + | 0.349253i | −0.00585224 | + | 0.0180113i | ||||
\(377\) | −35.0834 | − | 9.40058i | −1.80689 | − | 0.484154i | ||||
\(378\) | 0.452086 | + | 1.68721i | 0.0232528 | + | 0.0867806i | ||||
\(379\) | −6.90857 | + | 6.22051i | −0.354870 | + | 0.319526i | −0.827213 | − | 0.561889i | \(-0.810075\pi\) |
0.472343 | + | 0.881415i | \(0.343408\pi\) | |||||||
\(380\) | −8.07399 | − | 10.8283i | −0.414187 | − | 0.555481i | ||||
\(381\) | −3.42323 | + | 3.80188i | −0.175377 | + | 0.194776i | ||||
\(382\) | −1.01758 | + | 0.390611i | −0.0520637 | + | 0.0199854i | ||||
\(383\) | 3.78890 | − | 5.83439i | 0.193604 | − | 0.298123i | −0.728516 | − | 0.685029i | \(-0.759789\pi\) |
0.922119 | + | 0.386906i | \(0.126456\pi\) | |||||||
\(384\) | −0.104528 | − | 0.994522i | −0.00533420 | − | 0.0507515i | ||||
\(385\) | 9.83588 | − | 15.5646i | 0.501283 | − | 0.793244i | ||||
\(386\) | −0.895857 | − | 0.190420i | −0.0455979 | − | 0.00969213i | ||||
\(387\) | 0.643929 | + | 4.06561i | 0.0327327 | + | 0.206666i | ||||
\(388\) | 0.104514 | + | 0.659878i | 0.00530592 | + | 0.0335002i | ||||
\(389\) | −25.8420 | − | 5.49288i | −1.31024 | − | 0.278500i | −0.500728 | − | 0.865605i | \(-0.666934\pi\) |
−0.809511 | + | 0.587105i | \(0.800268\pi\) | |||||||
\(390\) | 6.58179 | − | 10.4152i | 0.333282 | − | 0.527394i | ||||
\(391\) | −1.60886 | − | 15.3072i | −0.0813633 | − | 0.774121i | ||||
\(392\) | −2.15075 | + | 3.31187i | −0.108629 | + | 0.167275i | ||||
\(393\) | −5.20491 | + | 1.99798i | −0.262553 | + | 0.100785i | ||||
\(394\) | 15.1630 | − | 16.8402i | 0.763902 | − | 0.848399i | ||||
\(395\) | −7.15802 | − | 9.59989i | −0.360159 | − | 0.483023i | ||||
\(396\) | 3.50319 | − | 3.15429i | 0.176042 | − | 0.158509i | ||||
\(397\) | −2.68089 | − | 10.0052i | −0.134550 | − | 0.502148i | −0.999999 | − | 0.00115125i | \(-0.999634\pi\) |
0.865449 | − | 0.500997i | \(-0.167033\pi\) | |||||||
\(398\) | −20.1993 | − | 5.41240i | −1.01250 | − | 0.271299i | ||||
\(399\) | 3.26050 | − | 10.0348i | 0.163229 | − | 0.502368i | ||||
\(400\) | −2.39200 | + | 4.39071i | −0.119600 | + | 0.219536i | ||||
\(401\) | 5.90723 | + | 8.13060i | 0.294993 | + | 0.406023i | 0.930628 | − | 0.365967i | \(-0.119262\pi\) |
−0.635635 | + | 0.771990i | \(0.719262\pi\) | |||||||
\(402\) | −3.54491 | − | 3.54491i | −0.176804 | − | 0.176804i | ||||
\(403\) | −16.8934 | − | 25.6076i | −0.841519 | − | 1.27561i | ||||
\(404\) | 11.4495i | 0.569635i | ||||||||
\(405\) | 1.29183 | − | 1.82515i | 0.0641913 | − | 0.0906926i | ||||
\(406\) | 4.68328 | + | 10.5188i | 0.232427 | + | 0.522041i | ||||
\(407\) | 17.0962 | + | 33.5531i | 0.847426 | + | 1.66317i | ||||
\(408\) | 1.38277 | − | 5.16056i | 0.0684572 | − | 0.255486i | ||||
\(409\) | −6.60408 | + | 11.4386i | −0.326551 | + | 0.565602i | −0.981825 | − | 0.189789i | \(-0.939220\pi\) |
0.655274 | + | 0.755391i | \(0.272553\pi\) | |||||||
\(410\) | 18.8931 | − | 5.31399i | 0.933062 | − | 0.262439i | ||||
\(411\) | −5.65439 | − | 17.4024i | −0.278910 | − | 0.858398i | ||||
\(412\) | 0.190118 | + | 3.62767i | 0.00936644 | + | 0.178722i | ||||
\(413\) | −5.16009 | − | 13.4425i | −0.253911 | − | 0.661461i | ||||
\(414\) | −2.81795 | + | 0.598975i | −0.138495 | + | 0.0294380i | ||||
\(415\) | −34.8803 | − | 12.8960i | −1.71221 | − | 0.633041i | ||||
\(416\) | −5.47974 | − | 0.575944i | −0.268666 | − | 0.0282380i | ||||
\(417\) | −6.62175 | + | 4.30021i | −0.324268 | + | 0.210582i | ||||
\(418\) | −28.1247 | + | 4.45451i | −1.37562 | + | 0.217877i | ||||
\(419\) | −3.44402 | + | 4.74028i | −0.168251 | + | 0.231578i | −0.884814 | − | 0.465945i | \(-0.845714\pi\) |
0.716562 | + | 0.697523i | \(0.245714\pi\) | |||||||
\(420\) | −3.87905 | + | 0.456338i | −0.189278 | + | 0.0222670i | ||||
\(421\) | 0.847892 | − | 8.06715i | 0.0413237 | − | 0.393169i | −0.954237 | − | 0.299050i | \(-0.903330\pi\) |
0.995561 | − | 0.0941184i | \(-0.0300032\pi\) | |||||||
\(422\) | 3.95336 | + | 3.20137i | 0.192446 | + | 0.155840i | ||||
\(423\) | 0.307982 | + | 0.200006i | 0.0149746 | + | 0.00972461i | ||||
\(424\) | −12.0901 | − | 5.38287i | −0.587149 | − | 0.261415i | ||||
\(425\) | −20.3372 | + | 17.3200i | −0.986500 | + | 0.840144i | ||||
\(426\) | −11.3192 | + | 3.67783i | −0.548416 | + | 0.178191i | ||||
\(427\) | 1.15580 | − | 22.0541i | 0.0559333 | − | 1.06727i | ||||
\(428\) | 12.1261 | − | 3.24918i | 0.586137 | − | 0.157055i | ||||
\(429\) | −12.9869 | − | 22.4940i | −0.627014 | − | 1.08602i | ||||
\(430\) | −9.20359 | + | 0.113980i | −0.443836 | + | 0.00549662i | ||||
\(431\) | −8.44123 | + | 3.75828i | −0.406600 | + | 0.181030i | −0.599837 | − | 0.800122i | \(-0.704768\pi\) |
0.193237 | + | 0.981152i | \(0.438101\pi\) | |||||||
\(432\) | −0.987688 | − | 0.156434i | −0.0475202 | − | 0.00752646i | ||||
\(433\) | 15.7086 | − | 15.7086i | 0.754906 | − | 0.754906i | −0.220484 | − | 0.975391i | \(-0.570764\pi\) |
0.975391 | + | 0.220484i | \(0.0707637\pi\) | |||||||
\(434\) | −2.93857 | + | 9.27078i | −0.141056 | + | 0.445012i | ||||
\(435\) | 6.52867 | − | 13.2153i | 0.313026 | − | 0.633625i | ||||
\(436\) | −6.99417 | + | 5.08156i | −0.334960 | + | 0.243363i | ||||
\(437\) | 16.2465 | + | 6.23643i | 0.777173 | + | 0.298329i | ||||
\(438\) | −1.77126 | + | 0.902501i | −0.0846340 | + | 0.0431232i | ||||
\(439\) | −12.0996 | + | 6.98570i | −0.577482 | + | 0.333409i | −0.760132 | − | 0.649769i | \(-0.774866\pi\) |
0.182650 | + | 0.983178i | \(0.441532\pi\) | |||||||
\(440\) | 5.84999 | + | 8.76853i | 0.278887 | + | 0.418023i | ||||
\(441\) | 2.64236 | + | 2.93464i | 0.125827 | + | 0.139745i | ||||
\(442\) | −26.2289 | − | 13.3643i | −1.24758 | − | 0.635674i | ||||
\(443\) | −3.45027 | + | 0.180821i | −0.163927 | + | 0.00859105i | −0.134123 | − | 0.990965i | \(-0.542822\pi\) |
−0.0298042 | + | 0.999556i | \(0.509488\pi\) | |||||||
\(444\) | 3.24919 | − | 7.29780i | 0.154200 | − | 0.346338i | ||||
\(445\) | 4.02962 | − | 2.39352i | 0.191022 | − | 0.113464i | ||||
\(446\) | 13.7322 | − | 1.44332i | 0.650240 | − | 0.0683430i | ||||
\(447\) | −12.1569 | + | 9.84449i | −0.575003 | + | 0.465628i | ||||
\(448\) | 0.951335 | + | 1.46493i | 0.0449463 | + | 0.0692113i | ||||
\(449\) | −2.47109 | − | 1.79535i | −0.116618 | − | 0.0847278i | 0.527948 | − | 0.849277i | \(-0.322962\pi\) |
−0.644566 | + | 0.764549i | \(0.722962\pi\) | |||||||
\(450\) | 3.62201 | + | 3.44689i | 0.170743 | + | 0.162488i | ||||
\(451\) | 8.60241 | − | 40.4711i | 0.405072 | − | 1.90571i | ||||
\(452\) | 4.89687 | + | 6.04713i | 0.230329 | + | 0.284433i | ||||
\(453\) | 2.15831 | − | 2.66529i | 0.101406 | − | 0.125226i | ||||
\(454\) | 1.21928 | + | 5.73627i | 0.0572237 | + | 0.269216i | ||||
\(455\) | −1.98431 | + | 21.4290i | −0.0930258 | + | 1.00461i | ||||
\(456\) | 4.48901 | + | 4.04192i | 0.210217 | + | 0.189280i | ||||
\(457\) | −2.81492 | + | 5.52459i | −0.131676 | + | 0.258429i | −0.947426 | − | 0.319976i | \(-0.896325\pi\) |
0.815749 | + | 0.578406i | \(0.196325\pi\) | |||||||
\(458\) | −9.64292 | − | 0.505364i | −0.450584 | − | 0.0236141i | ||||
\(459\) | −4.62683 | − | 2.67130i | −0.215962 | − | 0.124686i | ||||
\(460\) | −0.416781 | − | 6.42841i | −0.0194325 | − | 0.299726i | ||||
\(461\) | −30.1766 | − | 9.80498i | −1.40547 | − | 0.456663i | −0.494511 | − | 0.869171i | \(-0.664653\pi\) |
−0.910954 | + | 0.412508i | \(0.864653\pi\) | |||||||
\(462\) | −2.95083 | + | 7.68718i | −0.137285 | + | 0.357640i | ||||
\(463\) | −2.04033 | + | 12.8821i | −0.0948220 | + | 0.598682i | 0.893824 | + | 0.448418i | \(0.148012\pi\) |
−0.988646 | + | 0.150264i | \(0.951988\pi\) | |||||||
\(464\) | −6.59193 | −0.306023 | ||||||||
\(465\) | 11.5334 | − | 4.68847i | 0.534847 | − | 0.217422i | ||||
\(466\) | −28.5500 | −1.32255 | ||||||||
\(467\) | 3.88559 | − | 24.5326i | 0.179804 | − | 1.13524i | −0.718392 | − | 0.695639i | \(-0.755121\pi\) |
0.898195 | − | 0.439597i | \(-0.144879\pi\) | |||||||
\(468\) | −1.97458 | + | 5.14396i | −0.0912750 | + | 0.237780i | ||||
\(469\) | 8.32819 | + | 2.70599i | 0.384560 | + | 0.124951i | ||||
\(470\) | −0.541853 | + | 0.616985i | −0.0249938 | + | 0.0284594i | ||||
\(471\) | 7.17191 | + | 4.14071i | 0.330464 | + | 0.190794i | ||||
\(472\) | 8.23204 | + | 0.431423i | 0.378910 | + | 0.0198579i | ||||
\(473\) | −8.80933 | + | 17.2893i | −0.405053 | + | 0.794962i | ||||
\(474\) | 3.97975 | + | 3.58338i | 0.182796 | + | 0.164590i | ||||
\(475\) | −7.00921 | − | 29.3782i | −0.321605 | − | 1.34797i | ||||
\(476\) | 1.94024 | + | 9.12813i | 0.0889310 | + | 0.418387i | ||||
\(477\) | −8.32861 | + | 10.2850i | −0.381341 | + | 0.470917i | ||||
\(478\) | −7.18009 | − | 8.86668i | −0.328410 | − | 0.405552i | ||||
\(479\) | 3.93625 | − | 18.5186i | 0.179852 | − | 0.846136i | −0.791996 | − | 0.610526i | \(-0.790958\pi\) |
0.971848 | − | 0.235610i | \(-0.0757086\pi\) | |||||||
\(480\) | 0.664595 | − | 2.13502i | 0.0303345 | − | 0.0974499i | ||||
\(481\) | −35.6094 | − | 25.8718i | −1.62365 | − | 1.17965i | ||||
\(482\) | 15.4616 | + | 23.8088i | 0.704257 | + | 1.08446i | ||||
\(483\) | 3.91072 | − | 3.16684i | 0.177944 | − | 0.144096i | ||||
\(484\) | 11.1604 | − | 1.17301i | 0.507292 | − | 0.0533185i | ||||
\(485\) | −0.368757 | + | 1.44770i | −0.0167444 | + | 0.0657366i | ||||
\(486\) | −0.406737 | + | 0.913545i | −0.0184499 | + | 0.0414393i | ||||
\(487\) | −40.0204 | + | 2.09738i | −1.81350 | + | 0.0950414i | −0.928677 | − | 0.370891i | \(-0.879052\pi\) |
−0.884821 | + | 0.465932i | \(0.845719\pi\) | |||||||
\(488\) | 11.2652 | + | 5.73993i | 0.509954 | + | 0.259834i | ||||
\(489\) | 4.28551 | + | 4.75954i | 0.193797 | + | 0.215234i | ||||
\(490\) | −7.34544 | + | 4.90057i | −0.331833 | + | 0.221385i | ||||
\(491\) | −15.9494 | + | 9.20841i | −0.719788 | + | 0.415570i | −0.814675 | − | 0.579918i | \(-0.803084\pi\) |
0.0948866 | + | 0.995488i | \(0.469751\pi\) | |||||||
\(492\) | −7.82045 | + | 3.98472i | −0.352573 | + | 0.179645i | ||||
\(493\) | −32.8789 | − | 12.6210i | −1.48079 | − | 0.568423i | ||||
\(494\) | 26.9265 | − | 19.5633i | 1.21148 | − | 0.880193i | ||||
\(495\) | 9.98384 | − | 3.38119i | 0.448740 | − | 0.151973i | ||||
\(496\) | −4.16439 | − | 3.69565i | −0.186987 | − | 0.165940i | ||||
\(497\) | 14.7000 | − | 14.7000i | 0.659387 | − | 0.659387i | ||||
\(498\) | 16.4262 | + | 2.60166i | 0.736076 | + | 0.116583i | ||||
\(499\) | −3.31366 | + | 1.47533i | −0.148340 | + | 0.0660450i | −0.479564 | − | 0.877507i | \(-0.659205\pi\) |
0.331224 | + | 0.943552i | \(0.392538\pi\) | |||||||
\(500\) | −8.79476 | + | 6.90306i | −0.393313 | + | 0.308714i | ||||
\(501\) | −11.3906 | − | 19.7291i | −0.508893 | − | 0.881429i | ||||
\(502\) | 21.6862 | − | 5.81081i | 0.967904 | − | 0.259349i | ||||
\(503\) | −1.36078 | + | 25.9652i | −0.0606742 | + | 1.15773i | 0.783404 | + | 0.621513i | \(0.213482\pi\) |
−0.844078 | + | 0.536220i | \(0.819852\pi\) | |||||||
\(504\) | 1.66123 | − | 0.539768i | 0.0739973 | − | 0.0240432i | ||||
\(505\) | −10.1228 | + | 23.5157i | −0.450459 | + | 1.04643i | ||||
\(506\) | −12.4065 | − | 5.52374i | −0.551537 | − | 0.245560i | ||||
\(507\) | 14.5587 | + | 9.45453i | 0.646575 | + | 0.419891i | ||||
\(508\) | 3.97583 | + | 3.21956i | 0.176399 | + | 0.142845i | ||||
\(509\) | −3.49545 | + | 33.2569i | −0.154933 | + | 1.47409i | 0.590246 | + | 0.807223i | \(0.299031\pi\) |
−0.745179 | + | 0.666865i | \(0.767636\pi\) | |||||||
\(510\) | 7.40258 | − | 9.37650i | 0.327792 | − | 0.415199i | ||||
\(511\) | 2.04101 | − | 2.80920i | 0.0902888 | − | 0.124272i | ||||
\(512\) | −0.987688 | + | 0.156434i | −0.0436501 | + | 0.00691349i | ||||
\(513\) | 5.06604 | − | 3.28993i | 0.223671 | − | 0.145254i | ||||
\(514\) | 8.97982 | + | 0.943817i | 0.396083 | + | 0.0416300i | ||||
\(515\) | −2.81683 | + | 7.61879i | −0.124125 | + | 0.335724i | ||||
\(516\) | 4.02633 | − | 0.855824i | 0.177249 | − | 0.0376755i | ||||
\(517\) | 0.620373 | + | 1.61613i | 0.0272840 | + | 0.0710772i | ||||
\(518\) | 0.730275 | + | 13.9345i | 0.0320864 | + | 0.612246i | ||||
\(519\) | 6.58734 | + | 20.2738i | 0.289152 | + | 0.889919i | ||||
\(520\) | −10.7454 | − | 6.02768i | −0.471217 | − | 0.264331i | ||||
\(521\) | −5.51073 | + | 9.54487i | −0.241430 | + | 0.418168i | −0.961122 | − | 0.276125i | \(-0.910950\pi\) |
0.719692 | + | 0.694293i | \(0.244283\pi\) | |||||||
\(522\) | −1.70612 | + | 6.36732i | −0.0746747 | + | 0.278690i | ||||
\(523\) | −5.51210 | − | 10.8181i | −0.241027 | − | 0.473043i | 0.738527 | − | 0.674224i | \(-0.235522\pi\) |
−0.979554 | + | 0.201182i | \(0.935522\pi\) | |||||||
\(524\) | 2.26764 | + | 5.09321i | 0.0990624 | + | 0.222498i | ||||
\(525\) | −8.37046 | − | 2.49231i | −0.365317 | − | 0.108773i | ||||
\(526\) | 20.6775i | 0.901583i | ||||||||
\(527\) | −13.6952 | − | 26.4062i | −0.596572 | − | 1.15027i | ||||
\(528\) | −3.33331 | − | 3.33331i | −0.145064 | − | 0.145064i | ||||
\(529\) | −8.64065 | − | 11.8928i | −0.375681 | − | 0.517080i | ||||
\(530\) | −20.0723 | − | 21.7448i | −0.871883 | − | 0.944535i | ||||
\(531\) | 2.54733 | − | 7.83988i | 0.110545 | − | 0.340222i | ||||
\(532\) | −10.1917 | − | 2.73085i | −0.441865 | − | 0.118397i | ||||
\(533\) | 12.5168 | + | 46.7132i | 0.542162 | + | 2.02338i | ||||
\(534\) | −1.55766 | + | 1.40252i | −0.0674064 | + | 0.0606930i | ||||
\(535\) | 27.7779 | + | 4.04764i | 1.20094 | + | 0.174995i | ||||
\(536\) | −3.35452 | + | 3.72558i | −0.144893 | + | 0.160920i | ||||
\(537\) | −6.28391 | + | 2.41217i | −0.271171 | + | 0.104093i | ||||
\(538\) | 9.56377 | − | 14.7269i | 0.412323 | − | 0.634922i | ||||
\(539\) | 1.94584 | + | 18.5134i | 0.0838132 | + | 0.797429i | ||||
\(540\) | −1.89026 | − | 1.19453i | −0.0813439 | − | 0.0514045i | ||||
\(541\) | −14.3045 | − | 3.04051i | −0.614997 | − | 0.130722i | −0.110127 | − | 0.993917i | \(-0.535126\pi\) |
−0.504869 | + | 0.863196i | \(0.668459\pi\) | |||||||
\(542\) | −3.22537 | − | 20.3642i | −0.138542 | − | 0.874717i | ||||
\(543\) | 1.40804 | + | 8.89001i | 0.0604247 | + | 0.381507i | ||||
\(544\) | −5.22586 | − | 1.11079i | −0.224057 | − | 0.0476247i | ||||
\(545\) | −18.8577 | + | 4.25307i | −0.807777 | + | 0.182182i | ||||
\(546\) | −1.00602 | − | 9.57160i | −0.0430535 | − | 0.409627i | ||||
\(547\) | 16.3801 | − | 25.2232i | 0.700364 | − | 1.07847i | −0.292155 | − | 0.956371i | \(-0.594372\pi\) |
0.992518 | − | 0.122095i | \(-0.0389612\pi\) | |||||||
\(548\) | −17.0826 | + | 6.55741i | −0.729734 | + | 0.280119i | ||||
\(549\) | 8.46000 | − | 9.39579i | 0.361064 | − | 0.401002i | ||||
\(550\) | 4.26256 | + | 23.1814i | 0.181756 | + | 0.988459i | ||||
\(551\) | 29.5913 | − | 26.6441i | 1.26063 | − | 1.13508i | ||||
\(552\) | 0.745634 | + | 2.78274i | 0.0317363 | + | 0.118441i | ||||
\(553\) | −9.03547 | − | 2.42105i | −0.384227 | − | 0.102953i | ||||
\(554\) | −7.73694 | + | 23.8119i | −0.328711 | + | 1.01167i | ||||
\(555\) | 13.1255 | − | 12.1159i | 0.557148 | − | 0.514293i | ||||
\(556\) | 4.64088 | + | 6.38762i | 0.196817 | + | 0.270895i | ||||
\(557\) | 2.05449 | + | 2.05449i | 0.0870514 | + | 0.0870514i | 0.749292 | − | 0.662240i | \(-0.230394\pi\) |
−0.662240 | + | 0.749292i | \(0.730394\pi\) | |||||||
\(558\) | −4.64755 | + | 3.06599i | −0.196746 | + | 0.129794i | ||||
\(559\) | − | 22.6804i | − | 0.959279i | ||||||
\(560\) | 0.658726 | + | 3.84985i | 0.0278362 | + | 0.162686i | ||||
\(561\) | −10.2437 | − | 23.0077i | −0.432489 | − | 0.971387i | ||||
\(562\) | 3.14975 | + | 6.18173i | 0.132864 | + | 0.260760i | ||||
\(563\) | 6.14004 | − | 22.9149i | 0.258772 | − | 0.965750i | −0.707181 | − | 0.707032i | \(-0.750033\pi\) |
0.965953 | − | 0.258717i | \(-0.0832999\pi\) | |||||||
\(564\) | 0.183613 | − | 0.318027i | 0.00773150 | − | 0.0133914i | ||||
\(565\) | 4.71104 | + | 16.7494i | 0.198195 | + | 0.704651i | ||||
\(566\) | −7.60564 | − | 23.4078i | −0.319689 | − | 0.983902i | ||||
\(567\) | −0.0914165 | − | 1.74433i | −0.00383913 | − | 0.0732550i | ||||
\(568\) | 4.26519 | + | 11.1112i | 0.178963 | + | 0.466215i | ||||
\(569\) | −25.1394 | + | 5.34354i | −1.05390 | + | 0.224013i | −0.702111 | − | 0.712067i | \(-0.747759\pi\) |
−0.351787 | + | 0.936080i | \(0.614426\pi\) | |||||||
\(570\) | 5.64622 | + | 12.2704i | 0.236494 | + | 0.513950i | ||||
\(571\) | 14.1758 | + | 1.48993i | 0.593237 | + | 0.0623518i | 0.396390 | − | 0.918082i | \(-0.370263\pi\) |
0.196848 | + | 0.980434i | \(0.436930\pi\) | |||||||
\(572\) | −21.7835 | + | 14.1464i | −0.910814 | + | 0.591489i | ||||
\(573\) | 1.07655 | − | 0.170509i | 0.0449736 | − | 0.00712312i | ||||
\(574\) | 9.01143 | − | 12.4032i | 0.376130 | − | 0.517698i | ||||
\(575\) | 4.82751 | − | 13.5715i | 0.201321 | − | 0.565971i | ||||
\(576\) | −0.104528 | + | 0.994522i | −0.00435535 | + | 0.0414384i | ||||
\(577\) | −6.21783 | − | 5.03510i | −0.258852 | − | 0.209614i | 0.491106 | − | 0.871100i | \(-0.336593\pi\) |
−0.749958 | + | 0.661486i | \(0.769926\pi\) | |||||||
\(578\) | −9.68113 | − | 6.28700i | −0.402682 | − | 0.261505i | ||||
\(579\) | 0.836689 | + | 0.372518i | 0.0347716 | + | 0.0154813i | ||||
\(580\) | −13.5389 | − | 5.82809i | −0.562171 | − | 0.241998i | ||||
\(581\) | −27.6279 | + | 8.97686i | −1.14620 | + | 0.372423i | ||||
\(582\) | 0.0349659 | − | 0.667188i | 0.00144938 | − | 0.0276558i | ||||
\(583\) | −60.2608 | + | 16.1468i | −2.49575 | + | 0.668734i | ||||
\(584\) | 0.993965 | + | 1.72160i | 0.0411305 | + | 0.0712402i | ||||
\(585\) | −8.60340 | + | 8.81917i | −0.355707 | + | 0.364628i | ||||
\(586\) | 9.59906 | − | 4.27378i | 0.396533 | − | 0.176548i | ||||
\(587\) | 17.0850 | + | 2.70599i | 0.705172 | + | 0.111688i | 0.498713 | − | 0.866767i | \(-0.333806\pi\) |
0.206459 | + | 0.978455i | \(0.433806\pi\) | |||||||
\(588\) | 2.79233 | − | 2.79233i | 0.115154 | − | 0.115154i | ||||
\(589\) | 33.6315 | − | 0.242354i | 1.38576 | − | 0.00998602i | ||||
\(590\) | 16.5260 | + | 8.16423i | 0.680364 | + | 0.336116i | ||||
\(591\) | −18.3330 | + | 13.3197i | −0.754117 | + | 0.547898i | ||||
\(592\) | −7.45785 | − | 2.86280i | −0.306516 | − | 0.117660i | ||||
\(593\) | 23.3586 | − | 11.9018i | 0.959222 | − | 0.488748i | 0.0970033 | − | 0.995284i | \(-0.469074\pi\) |
0.862219 | + | 0.506536i | \(0.169074\pi\) | |||||||
\(594\) | −4.08245 | + | 2.35700i | −0.167505 | + | 0.0967091i | ||||
\(595\) | −4.08543 | + | 20.4633i | −0.167486 | + | 0.838913i | ||||
\(596\) | 10.4672 | + | 11.6250i | 0.428755 | + | 0.476180i | ||||
\(597\) | 18.6326 | + | 9.49380i | 0.762583 | + | 0.388555i | ||||
\(598\) | 15.8518 | − | 0.830760i | 0.648230 | − | 0.0339723i | ||||
\(599\) | −14.6946 | + | 33.0046i | −0.600404 | + | 1.34853i | 0.316184 | + | 0.948698i | \(0.397598\pi\) |
−0.916588 | + | 0.399832i | \(0.869068\pi\) | |||||||
\(600\) | 3.25261 | − | 3.79744i | 0.132787 | − | 0.155030i | ||||
\(601\) | −2.44682 | + | 0.257171i | −0.0998077 | + | 0.0104902i | −0.154301 | − | 0.988024i | \(-0.549312\pi\) |
0.0544929 | + | 0.998514i | \(0.482646\pi\) | |||||||
\(602\) | −5.58769 | + | 4.52482i | −0.227737 | + | 0.184418i | ||||
\(603\) | 2.73042 | + | 4.20447i | 0.111191 | + | 0.171219i | ||||
\(604\) | −2.77460 | − | 2.01586i | −0.112897 | − | 0.0820242i | ||||
\(605\) | 23.9590 | + | 7.45801i | 0.974071 | + | 0.303211i | ||||
\(606\) | 2.38049 | − | 11.1993i | 0.0967008 | − | 0.454941i | ||||
\(607\) | −6.09380 | − | 7.52522i | −0.247340 | − | 0.305439i | 0.638323 | − | 0.769769i | \(-0.279629\pi\) |
−0.885662 | + | 0.464330i | \(0.846295\pi\) | |||||||
\(608\) | 3.80145 | − | 4.69440i | 0.154169 | − | 0.190383i | ||||
\(609\) | −2.39396 | − | 11.2627i | −0.0970080 | − | 0.456387i | ||||
\(610\) | 18.0624 | + | 21.7489i | 0.731324 | + | 0.880586i | ||||
\(611\) | −1.50367 | − | 1.35391i | −0.0608320 | − | 0.0547734i | ||||
\(612\) | −2.42549 | + | 4.76030i | −0.0980447 | + | 0.192424i | ||||
\(613\) | 30.2712 | + | 1.58644i | 1.22264 | + | 0.0640759i | 0.652704 | − | 0.757613i | \(-0.273634\pi\) |
0.569937 | + | 0.821689i | \(0.306968\pi\) | |||||||
\(614\) | −2.09734 | − | 1.21090i | −0.0846419 | − | 0.0488680i | ||||
\(615\) | −19.5851 | + | 1.26978i | −0.789746 | + | 0.0512025i | ||||
\(616\) | 7.83107 | + | 2.54447i | 0.315523 | + | 0.102520i | ||||
\(617\) | 5.14360 | − | 13.3995i | 0.207074 | − | 0.539445i | −0.790232 | − | 0.612808i | \(-0.790040\pi\) |
0.997305 | + | 0.0733629i | \(0.0233731\pi\) | |||||||
\(618\) | 0.568271 | − | 3.58792i | 0.0228592 | − | 0.144327i | ||||
\(619\) | 25.5086 | 1.02528 | 0.512639 | − | 0.858604i | \(-0.328668\pi\) | ||||
0.512639 | + | 0.858604i | \(0.328668\pi\) | |||||||
\(620\) | −5.28565 | − | 11.2722i | −0.212277 | − | 0.452701i | ||||
\(621\) | 2.88091 | 0.115607 | ||||||||
\(622\) | 2.39115 | − | 15.0971i | 0.0958762 | − | 0.605339i | ||||
\(623\) | 1.31205 | − | 3.41802i | 0.0525664 | − | 0.136940i | ||||
\(624\) | 5.24025 | + | 1.70266i | 0.209778 | + | 0.0681610i | ||||
\(625\) | −24.1663 | + | 6.40223i | −0.966653 | + | 0.256089i | ||||
\(626\) | 14.6905 | + | 8.48154i | 0.587149 | + | 0.338990i | ||||
\(627\) | 28.4362 | + | 1.49028i | 1.13563 | + | 0.0595161i | ||||
\(628\) | 3.75968 | − | 7.37879i | 0.150028 | − | 0.294446i | ||||
\(629\) | −31.7167 | − | 28.5579i | −1.26463 | − | 1.13868i | ||||
\(630\) | 3.88916 | + | 0.360134i | 0.154948 | + | 0.0143481i | ||||
\(631\) | 1.55959 | + | 7.33729i | 0.0620862 | + | 0.292093i | 0.998226 | − | 0.0595347i | \(-0.0189617\pi\) |
−0.936140 | + | 0.351628i | \(0.885628\pi\) | |||||||
\(632\) | 3.37019 | − | 4.16183i | 0.134059 | − | 0.165549i | ||||
\(633\) | −3.20137 | − | 3.95336i | −0.127243 | − | 0.157132i | ||||
\(634\) | −2.17836 | + | 10.2484i | −0.0865136 | + | 0.407015i | ||||
\(635\) | 5.31929 | + | 10.1277i | 0.211089 | + | 0.401904i | ||||
\(636\) | 10.7068 | + | 7.77892i | 0.424551 | + | 0.308454i | ||||
\(637\) | −11.8505 | − | 18.2481i | −0.469533 | − | 0.723018i | ||||
\(638\) | −24.1494 | + | 19.5558i | −0.956083 | + | 0.774220i | ||||
\(639\) | 11.8365 | − | 1.24407i | 0.468245 | − | 0.0492145i | ||||
\(640\) | −2.16688 | − | 0.551946i | −0.0856533 | − | 0.0218176i | ||||
\(641\) | −5.04264 | + | 11.3260i | −0.199172 | + | 0.447348i | −0.985326 | − | 0.170683i | \(-0.945403\pi\) |
0.786154 | + | 0.618031i | \(0.212069\pi\) | |||||||
\(642\) | −12.5367 | + | 0.657018i | −0.494782 | + | 0.0259304i | ||||
\(643\) | 6.83066 | + | 3.48040i | 0.269375 | + | 0.137253i | 0.583461 | − | 0.812141i | \(-0.301698\pi\) |
−0.314086 | + | 0.949395i | \(0.601698\pi\) | |||||||
\(644\) | −3.36717 | − | 3.73962i | −0.132685 | − | 0.147362i | ||||
\(645\) | 9.02616 | + | 1.80204i | 0.355405 | + | 0.0709554i | ||||
\(646\) | 27.9487 | − | 16.1362i | 1.09963 | − | 0.634869i | ||||
\(647\) | 3.29546 | − | 1.67912i | 0.129558 | − | 0.0660130i | −0.388010 | − | 0.921655i | \(-0.626837\pi\) |
0.517568 | + | 0.855642i | \(0.326837\pi\) | |||||||
\(648\) | 0.933580 | + | 0.358368i | 0.0366745 | + | 0.0140780i | ||||
\(649\) | 31.4377 | − | 22.8409i | 1.23404 | − | 0.896582i | ||||
\(650\) | −16.7403 | − | 21.8803i | −0.656607 | − | 0.858214i | ||||
\(651\) | 4.80186 | − | 8.45722i | 0.188200 | − | 0.331465i | ||||
\(652\) | 4.52873 | − | 4.52873i | 0.177359 | − | 0.177359i | ||||
\(653\) | 32.0261 | + | 5.07243i | 1.25328 | + | 0.198500i | 0.747557 | − | 0.664198i | \(-0.231227\pi\) |
0.505720 | + | 0.862698i | \(0.331227\pi\) | |||||||
\(654\) | 7.89784 | − | 3.51635i | 0.308830 | − | 0.137500i | ||||
\(655\) | 0.154378 | + | 12.4656i | 0.00603205 | + | 0.487071i | ||||
\(656\) | 4.38855 | + | 7.60118i | 0.171344 | + | 0.296776i | ||||
\(657\) | 1.92019 | − | 0.514514i | 0.0749138 | − | 0.0200731i | ||||
\(658\) | −0.0335705 | + | 0.640564i | −0.00130872 | + | 0.0249718i | ||||
\(659\) | 12.5231 | − | 4.06901i | 0.487831 | − | 0.158506i | −0.0547655 | − | 0.998499i | \(-0.517441\pi\) |
0.542597 | + | 0.839993i | \(0.317441\pi\) | |||||||
\(660\) | −3.89907 | − | 9.79320i | −0.151771 | − | 0.381200i | ||||
\(661\) | −39.8361 | − | 17.7362i | −1.54944 | − | 0.689857i | −0.559178 | − | 0.829047i | \(-0.688883\pi\) |
−0.990266 | + | 0.139191i | \(0.955550\pi\) | |||||||
\(662\) | 24.7132 | + | 16.0489i | 0.960506 | + | 0.623760i | ||||
\(663\) | 22.8771 | + | 18.5255i | 0.888473 | + | 0.719472i | ||||
\(664\) | 1.73841 | − | 16.5399i | 0.0674633 | − | 0.641871i | ||||
\(665\) | −18.5178 | − | 14.6195i | −0.718090 | − | 0.566919i | ||||
\(666\) | −4.69548 | + | 6.46278i | −0.181946 | + | 0.250428i | ||||
\(667\) | 18.7569 | − | 2.97081i | 0.726272 | − | 0.115030i | ||||
\(668\) | −19.1059 | + | 12.4075i | −0.739229 | + | 0.480061i | ||||
\(669\) | −13.7322 | − | 1.44332i | −0.530919 | − | 0.0558018i | ||||
\(670\) | −10.1836 | + | 4.68598i | −0.393426 | + | 0.181035i | ||||
\(671\) | 58.2981 | − | 12.3916i | 2.25057 | − | 0.478374i | ||||
\(672\) | −0.625970 | − | 1.63071i | −0.0241473 | − | 0.0629059i | ||||
\(673\) | 1.09770 | + | 20.9453i | 0.0423131 | + | 0.807381i | 0.934554 | + | 0.355821i | \(0.115799\pi\) |
−0.892241 | + | 0.451560i | \(0.850868\pi\) | |||||||
\(674\) | −5.78421 | − | 17.8020i | −0.222799 | − | 0.685706i | ||||
\(675\) | −2.82621 | − | 4.12463i | −0.108781 | − | 0.158757i | ||||
\(676\) | 8.67963 | − | 15.0336i | 0.333832 | − | 0.578214i | ||||
\(677\) | −8.76439 | + | 32.7092i | −0.336843 | + | 1.25712i | 0.565014 | + | 0.825081i | \(0.308871\pi\) |
−0.901857 | + | 0.432034i | \(0.857796\pi\) | |||||||
\(678\) | −3.53259 | − | 6.93310i | −0.135668 | − | 0.266264i | ||||
\(679\) | 0.474659 | + | 1.06610i | 0.0182157 | + | 0.0409132i | ||||
\(680\) | −9.75108 | − | 6.90171i | −0.373937 | − | 0.264669i | ||||
\(681\) | − | 5.86442i | − | 0.224725i | ||||||
\(682\) | −26.2197 | − | 1.18473i | −1.00401 | − | 0.0453656i | ||||
\(683\) | 29.4128 | + | 29.4128i | 1.12545 | + | 1.12545i | 0.990908 | + | 0.134541i | \(0.0429562\pi\) |
0.134541 | + | 0.990908i | \(0.457044\pi\) | |||||||
\(684\) | −3.55055 | − | 4.88692i | −0.135759 | − | 0.186856i | ||||
\(685\) | −40.8828 | − | 1.63521i | −1.56205 | − | 0.0624782i | ||||
\(686\) | −5.90989 | + | 18.1888i | −0.225641 | + | 0.694451i | ||||
\(687\) | 9.32713 | + | 2.49920i | 0.355852 | + | 0.0953503i | ||||
\(688\) | −1.06537 | − | 3.97603i | −0.0406170 | − | 0.151585i | ||||
\(689\) | 54.1901 | − | 48.7930i | 2.06448 | − | 1.85886i | ||||
\(690\) | −0.928869 | + | 6.37459i | −0.0353614 | + | 0.242677i | ||||
\(691\) | −10.8938 | + | 12.0987i | −0.414418 | + | 0.460258i | −0.913824 | − | 0.406110i | \(-0.866885\pi\) |
0.499406 | + | 0.866368i | \(0.333552\pi\) | |||||||
\(692\) | 19.9012 | − | 7.63936i | 0.756531 | − | 0.290405i | ||||
\(693\) | 4.48460 | − | 6.90568i | 0.170356 | − | 0.262325i | ||||
\(694\) | −0.0607713 | − | 0.578200i | −0.00230685 | − | 0.0219482i | ||||
\(695\) | 3.88424 | + | 17.2224i | 0.147338 | + | 0.653281i | ||||
\(696\) | 6.44788 | + | 1.37054i | 0.244406 | + | 0.0519502i | ||||
\(697\) | 7.33561 | + | 46.3152i | 0.277856 | + | 1.75431i | ||||
\(698\) | 1.57958 | + | 9.97309i | 0.0597881 | + | 0.377487i | ||||
\(699\) | 27.9261 | + | 5.93587i | 1.05626 | + | 0.224515i | ||||
\(700\) | −2.05082 | + | 8.48943i | −0.0775136 | + | 0.320870i | ||||
\(701\) | −0.888497 | − | 8.45348i | −0.0335581 | − | 0.319284i | −0.998404 | − | 0.0564688i | \(-0.982016\pi\) |
0.964846 | − | 0.262815i | \(-0.0846508\pi\) | |||||||
\(702\) | 3.00092 | − | 4.62101i | 0.113262 | − | 0.174409i | ||||
\(703\) | 45.0496 | − | 17.2929i | 1.69908 | − | 0.652215i | ||||
\(704\) | −3.15429 | + | 3.50319i | −0.118882 | + | 0.132032i | ||||
\(705\) | 0.658290 | − | 0.490845i | 0.0247926 | − | 0.0184863i | ||||
\(706\) | 9.29625 | − | 8.37038i | 0.349869 | − | 0.315024i | ||||
\(707\) | 5.17617 | + | 19.3177i | 0.194670 | + | 0.726517i | ||||
\(708\) | −7.96245 | − | 2.13353i | −0.299247 | − | 0.0801831i | ||||
\(709\) | 2.87970 | − | 8.86279i | 0.108149 | − | 0.332849i | −0.882307 | − | 0.470674i | \(-0.844011\pi\) |
0.990457 | + | 0.137824i | \(0.0440110\pi\) | |||||||
\(710\) | −1.06360 | + | 26.5917i | −0.0399163 | + | 0.997970i | ||||
\(711\) | −3.14775 | − | 4.33251i | −0.118050 | − | 0.162482i | ||||
\(712\) | 1.48212 | + | 1.48212i | 0.0555448 | + | 0.0555448i | ||||
\(713\) | 13.5151 | + | 8.63897i | 0.506143 | + | 0.323532i | ||||
\(714\) | − | 9.33206i | − | 0.349244i | ||||||
\(715\) | −57.2473 | + | 9.79527i | −2.14093 | + | 0.366322i | ||||
\(716\) | 2.73774 | + | 6.14906i | 0.102314 | + | 0.229801i | ||||
\(717\) | 5.17971 | + | 10.1657i | 0.193440 | + | 0.379647i | ||||
\(718\) | −5.86102 | + | 21.8736i | −0.218731 | + | 0.816316i | ||||
\(719\) | −9.96705 | + | 17.2634i | −0.371708 | + | 0.643818i | −0.989828 | − | 0.142266i | \(-0.954561\pi\) |
0.618120 | + | 0.786084i | \(0.287894\pi\) | |||||||
\(720\) | −1.09397 | + | 1.95019i | −0.0407698 | + | 0.0726792i | ||||
\(721\) | 1.96078 | + | 6.03467i | 0.0730234 | + | 0.224743i | ||||
\(722\) | 0.915271 | + | 17.4644i | 0.0340629 | + | 0.649958i | ||||
\(723\) | −10.1736 | − | 26.5031i | −0.378360 | − | 0.985663i | ||||
\(724\) | 8.80414 | − | 1.87138i | 0.327203 | − | 0.0695492i | ||||
\(725\) | −22.6541 | − | 23.9401i | −0.841353 | − | 0.889113i | ||||
\(726\) | −11.1604 | − | 1.17301i | −0.414202 | − | 0.0435344i | ||||
\(727\) | −0.669796 | + | 0.434970i | −0.0248414 | + | 0.0161322i | −0.557000 | − | 0.830513i | \(-0.688048\pi\) |
0.532159 | + | 0.846645i | \(0.321381\pi\) | |||||||
\(728\) | −9.50583 | + | 1.50558i | −0.352310 | + | 0.0558004i | ||||
\(729\) | 0.587785 | − | 0.809017i | 0.0217698 | − | 0.0299636i | ||||
\(730\) | 0.519353 | + | 4.41470i | 0.0192221 | + | 0.163395i | ||||
\(731\) | 2.29876 | − | 21.8712i | 0.0850226 | − | 0.808936i | ||||
\(732\) | −9.82567 | − | 7.95667i | −0.363167 | − | 0.294087i | ||||
\(733\) | 35.6757 | + | 23.1681i | 1.31771 | + | 0.855733i | 0.995846 | − | 0.0910518i | \(-0.0290229\pi\) |
0.321867 | + | 0.946785i | \(0.395690\pi\) | |||||||
\(734\) | −21.6689 | − | 9.64760i | −0.799813 | − | 0.356100i | ||||
\(735\) | 8.20381 | − | 3.26627i | 0.302602 | − | 0.120478i | ||||
\(736\) | 2.73991 | − | 0.890250i | 0.100994 | − | 0.0328151i | ||||
\(737\) | −1.23683 | + | 23.6002i | −0.0455593 | + | 0.869323i | ||||
\(738\) | 8.47802 | − | 2.27168i | 0.312080 | − | 0.0836216i | ||||
\(739\) | 13.1153 | + | 22.7163i | 0.482453 | + | 0.835634i | 0.999797 | − | 0.0201440i | \(-0.00641248\pi\) |
−0.517344 | + | 0.855778i | \(0.673079\pi\) | |||||||
\(740\) | −12.7863 | − | 12.4734i | −0.470033 | − | 0.458533i | ||||
\(741\) | −30.4056 | + | 13.5374i | −1.11698 | + | 0.497310i | ||||
\(742\) | −22.8321 | − | 3.61624i | −0.838192 | − | 0.132757i | ||||
\(743\) | −37.1625 | + | 37.1625i | −1.36336 | + | 1.36336i | −0.493760 | + | 0.869598i | \(0.664378\pi\) |
−0.869598 | + | 0.493760i | \(0.835622\pi\) | |||||||
\(744\) | 3.30502 | + | 4.48072i | 0.121168 | + | 0.164271i | ||||
\(745\) | 11.2202 | + | 33.1305i | 0.411076 | + | 1.21381i | ||||
\(746\) | −17.4822 | + | 12.7015i | −0.640067 | + | 0.465036i | ||||
\(747\) | −15.5263 | − | 5.96000i | −0.568079 | − | 0.218065i | ||||
\(748\) | −22.4401 | + | 11.4338i | −0.820491 | + | 0.418061i | ||||
\(749\) | 18.9903 | − | 10.9641i | 0.693892 | − | 0.400618i | ||||
\(750\) | 10.0378 | − | 4.92368i | 0.366529 | − | 0.179787i | ||||
\(751\) | 34.7637 | + | 38.6090i | 1.26855 | + | 1.40886i | 0.871003 | + | 0.491278i | \(0.163470\pi\) |
0.397543 | + | 0.917584i | \(0.369863\pi\) | |||||||
\(752\) | −0.327201 | − | 0.166717i | −0.0119318 | − | 0.00607955i | ||||
\(753\) | −22.4205 | + | 1.17501i | −0.817048 | + | 0.0428197i | ||||
\(754\) | 14.7731 | − | 33.1809i | 0.538005 | − | 1.20838i | ||||
\(755\) | −3.91634 | − | 6.59338i | −0.142530 | − | 0.239958i | ||||
\(756\) | −1.73716 | + | 0.182582i | −0.0631798 | + | 0.00664046i | ||||
\(757\) | −14.0696 | + | 11.3933i | −0.511368 | + | 0.414097i | −0.849969 | − | 0.526833i | \(-0.823379\pi\) |
0.338601 | + | 0.940930i | \(0.390046\pi\) | |||||||
\(758\) | −5.06318 | − | 7.79662i | −0.183903 | − | 0.283186i | ||||
\(759\) | 10.9870 | + | 7.98250i | 0.398802 | + | 0.289746i | ||||
\(760\) | 11.9581 | − | 6.28066i | 0.433764 | − | 0.227823i | ||||
\(761\) | −8.55461 | + | 40.2463i | −0.310104 | + | 1.45893i | 0.496605 | + | 0.867977i | \(0.334580\pi\) |
−0.806709 | + | 0.590949i | \(0.798753\pi\) | |||||||
\(762\) | −3.21956 | − | 3.97583i | −0.116633 | − | 0.144029i | ||||
\(763\) | −9.50330 | + | 11.7356i | −0.344043 | + | 0.424857i | ||||
\(764\) | −0.226618 | − | 1.06615i | −0.00819874 | − | 0.0385721i | ||||
\(765\) | −9.19030 | + | 7.63252i | −0.332276 | + | 0.275954i | ||||
\(766\) | 5.16984 | + | 4.65495i | 0.186794 | + | 0.168190i | ||||
\(767\) | −20.6203 | + | 40.4697i | −0.744557 | + | 1.46128i | ||||
\(768\) | 0.998630 | + | 0.0523360i | 0.0360349 | + | 0.00188851i | ||||
\(769\) | −20.3330 | − | 11.7392i | −0.733225 | − | 0.423328i | 0.0863756 | − | 0.996263i | \(-0.472471\pi\) |
−0.819601 | + | 0.572935i | \(0.805805\pi\) | |||||||
\(770\) | 13.8343 | + | 12.1496i | 0.498552 | + | 0.437842i | ||||
\(771\) | −8.58736 | − | 2.79020i | −0.309266 | − | 0.100487i | ||||
\(772\) | 0.328219 | − | 0.855039i | 0.0118128 | − | 0.0307735i | ||||
\(773\) | −3.22569 | + | 20.3662i | −0.116020 | + | 0.732522i | 0.859258 | + | 0.511542i | \(0.170926\pi\) |
−0.975278 | + | 0.220980i | \(0.929074\pi\) | |||||||
\(774\) | −4.11628 | −0.147957 | ||||||||
\(775\) | −0.889951 | − | 27.8246i | −0.0319680 | − | 0.999489i | ||||
\(776\) | −0.668104 | −0.0239835 | ||||||||
\(777\) | 2.18282 | − | 13.7818i | 0.0783084 | − | 0.494420i | ||||
\(778\) | 9.46782 | − | 24.6645i | 0.339438 | − | 0.884266i | ||||
\(779\) | −50.4236 | − | 16.3836i | −1.80661 | − | 0.587005i | ||||
\(780\) | 9.25735 | + | 8.13005i | 0.331466 | + | 0.291103i | ||||
\(781\) | 48.5881 | + | 28.0524i | 1.73862 | + | 1.00379i | ||||
\(782\) | 15.3705 | + | 0.805532i | 0.549647 | + | 0.0288058i | ||||
\(783\) | 2.99267 | − | 5.87345i | 0.106949 | − | 0.209900i | ||||
\(784\) | −2.93464 | − | 2.64236i | −0.104809 | − | 0.0943702i | ||||
\(785\) | 14.2456 | − | 11.8309i | 0.508448 | − | 0.422265i | ||||
\(786\) | −1.15915 | − | 5.45338i | −0.0413456 | − | 0.194516i | ||||
\(787\) | 18.8402 | − | 23.2657i | 0.671579 | − | 0.829332i | −0.321484 | − | 0.946915i | \(-0.604181\pi\) |
0.993063 | + | 0.117584i | \(0.0375148\pi\) | |||||||
\(788\) | 14.2609 | + | 17.6107i | 0.508023 | + | 0.627356i | ||||
\(789\) | 4.29910 | − | 20.2257i | 0.153052 | − | 0.720053i | ||||
\(790\) | 10.6015 | − | 5.56814i | 0.377183 | − | 0.198106i | ||||
\(791\) | 10.9958 | + | 7.98895i | 0.390967 | + | 0.284054i | ||||
\(792\) | 2.56743 | + | 3.95350i | 0.0912298 | + | 0.140482i | ||||
\(793\) | −54.1387 | + | 43.8407i | −1.92252 | + | 1.55683i | ||||
\(794\) | 10.3014 | − | 1.08272i | 0.365584 | − | 0.0384244i | ||||
\(795\) | 15.1126 | + | 25.4429i | 0.535989 | + | 0.902367i | ||||
\(796\) | 8.50563 | − | 19.1040i | 0.301474 | − | 0.677122i | ||||
\(797\) | 47.1563 | − | 2.47136i | 1.67036 | − | 0.0875400i | 0.806489 | − | 0.591249i | \(-0.201365\pi\) |
0.863874 | + | 0.503709i | \(0.168031\pi\) | |||||||
\(798\) | 9.40119 | + | 4.79014i | 0.332798 | + | 0.169569i | ||||
\(799\) | −1.31280 | − | 1.45801i | −0.0464434 | − | 0.0515806i | ||||
\(800\) | −3.96246 | − | 3.04941i | −0.140094 | − | 0.107813i | ||||
\(801\) | 1.81522 | − | 1.04802i | 0.0641376 | − | 0.0370299i | ||||
\(802\) | −8.95460 | + | 4.56260i | −0.316198 | + | 0.161111i | ||||
\(803\) | 8.74869 | + | 3.35831i | 0.308735 | + | 0.118512i | ||||
\(804\) | 4.05581 | − | 2.94672i | 0.143037 | − | 0.103923i | ||||
\(805\) | −3.60939 | − | 10.6576i | −0.127214 | − | 0.375633i | ||||
\(806\) | 27.9351 | − | 12.6795i | 0.983971 | − | 0.446616i | ||||
\(807\) | −12.4167 | + | 12.4167i | −0.437088 | + | 0.437088i | ||||
\(808\) | −11.3086 | − | 1.79110i | −0.397834 | − | 0.0630107i | ||||
\(809\) | −2.54119 | + | 1.13141i | −0.0893435 | + | 0.0397783i | −0.450922 | − | 0.892563i | \(-0.648905\pi\) |
0.361578 | + | 0.932342i | \(0.382238\pi\) | |||||||
\(810\) | 1.60060 | + | 1.56144i | 0.0562393 | + | 0.0548633i | ||||
\(811\) | −2.71425 | − | 4.70121i | −0.0953101 | − | 0.165082i | 0.814428 | − | 0.580265i | \(-0.197051\pi\) |
−0.909738 | + | 0.415183i | \(0.863718\pi\) | |||||||
\(812\) | −11.1220 | + | 2.98012i | −0.390304 | + | 0.104582i | ||||
\(813\) | −1.07906 | + | 20.5898i | −0.0378444 | + | 0.722115i | ||||
\(814\) | −35.8145 | + | 11.6368i | −1.25530 | + | 0.407871i | ||||
\(815\) | 13.3053 | − | 5.29739i | 0.466065 | − | 0.185560i | ||||
\(816\) | 4.88071 | + | 2.17303i | 0.170859 | + | 0.0760714i | ||||
\(817\) | 20.8533 | + | 13.5423i | 0.729563 | + | 0.473784i | ||||
\(818\) | −10.2647 | − | 8.31216i | −0.358895 | − | 0.290628i | ||||
\(819\) | −1.00602 | + | 9.57160i | −0.0351530 | + | 0.334459i | ||||
\(820\) | 2.29304 | + | 19.4918i | 0.0800765 | + | 0.680682i | ||||
\(821\) | 1.25406 | − | 1.72606i | 0.0437669 | − | 0.0602400i | −0.786573 | − | 0.617498i | \(-0.788146\pi\) |
0.830340 | + | 0.557258i | \(0.188146\pi\) | |||||||
\(822\) | 18.0727 | − | 2.86244i | 0.630358 | − | 0.0998389i | ||||
\(823\) | 2.32161 | − | 1.50767i | 0.0809263 | − | 0.0525541i | −0.503542 | − | 0.863971i | \(-0.667970\pi\) |
0.584468 | + | 0.811417i | \(0.301303\pi\) | |||||||
\(824\) | −3.61274 | − | 0.379715i | −0.125856 | − | 0.0132280i | ||||
\(825\) | 0.650273 | − | 23.5611i | 0.0226396 | − | 0.820291i | ||||
\(826\) | 14.0842 | − | 2.99369i | 0.490052 | − | 0.104164i | ||||
\(827\) | −6.58734 | − | 17.1606i | −0.229064 | − | 0.596733i | 0.770086 | − | 0.637940i | \(-0.220213\pi\) |
−0.999151 | + | 0.0412070i | \(0.986880\pi\) | |||||||
\(828\) | −0.150775 | − | 2.87696i | −0.00523980 | − | 0.0999813i | ||||
\(829\) | 12.6705 | + | 38.9957i | 0.440063 | + | 1.35438i | 0.887808 | + | 0.460214i | \(0.152227\pi\) |
−0.447745 | + | 0.894161i | \(0.647773\pi\) | |||||||
\(830\) | 18.1937 | − | 32.4335i | 0.631514 | − | 1.12578i | ||||
\(831\) | 12.5186 | − | 21.6829i | 0.434267 | − | 0.752172i | ||||
\(832\) | 1.42607 | − | 5.32218i | 0.0494402 | − | 0.184513i | ||||
\(833\) | −9.57815 | − | 18.7982i | −0.331863 | − | 0.651318i | ||||
\(834\) | −3.21140 | − | 7.21293i | −0.111202 | − | 0.249763i | ||||
\(835\) | −50.2105 | + | 8.59124i | −1.73761 | + | 0.297312i | ||||
\(836\) | − | 28.4753i | − | 0.984838i | ||||||
\(837\) | 5.18344 | − | 2.03271i | 0.179166 | − | 0.0702608i | ||||
\(838\) | −4.14316 | − | 4.14316i | −0.143123 | − | 0.143123i | ||||
\(839\) | −5.77752 | − | 7.95207i | −0.199462 | − | 0.274536i | 0.697556 | − | 0.716531i | \(-0.254271\pi\) |
−0.897018 | + | 0.441995i | \(0.854271\pi\) | |||||||
\(840\) | 0.156097 | − | 3.90268i | 0.00538587 | − | 0.134655i | ||||
\(841\) | 4.46639 | − | 13.7461i | 0.154014 | − | 0.474005i | ||||
\(842\) | 7.83519 | + | 2.09943i | 0.270018 | + | 0.0723512i | ||||
\(843\) | −1.79566 | − | 6.70151i | −0.0618460 | − | 0.230812i | ||||
\(844\) | −3.78039 | + | 3.40388i | −0.130126 | + | 0.117166i | ||||
\(845\) | 31.1183 | − | 23.2029i | 1.07050 | − | 0.798204i | ||||
\(846\) | −0.245722 | + | 0.272902i | −0.00844810 | + | 0.00938257i | ||||
\(847\) | 18.2996 | − | 7.02457i | 0.628783 | − | 0.241367i | ||||
\(848\) | 7.20791 | − | 11.0992i | 0.247521 | − | 0.381149i | ||||
\(849\) | 2.57269 | + | 24.4775i | 0.0882946 | + | 0.840067i | ||||
\(850\) | −13.9253 | − | 22.7963i | −0.477635 | − | 0.781906i | ||||
\(851\) | 22.5110 | + | 4.78487i | 0.771669 | + | 0.164023i | ||||
\(852\) | −1.86184 | − | 11.7552i | −0.0637854 | − | 0.402725i | ||||
\(853\) | −0.691270 | − | 4.36451i | −0.0236686 | − | 0.149438i | 0.973024 | − | 0.230705i | \(-0.0741033\pi\) |
−0.996692 | + | 0.0812672i | \(0.974103\pi\) | |||||||
\(854\) | 21.6017 | + | 4.59159i | 0.739196 | + | 0.157121i | ||||
\(855\) | −2.97168 | − | 13.1762i | −0.101629 | − | 0.450615i | ||||
\(856\) | 1.31224 | + | 12.4851i | 0.0448513 | + | 0.426732i | ||||
\(857\) | 9.07542 | − | 13.9749i | 0.310010 | − | 0.477374i | −0.648983 | − | 0.760803i | \(-0.724805\pi\) |
0.958993 | + | 0.283429i | \(0.0914720\pi\) | |||||||
\(858\) | 24.2487 | − | 9.30819i | 0.827836 | − | 0.317776i | ||||
\(859\) | 23.5439 | − | 26.1481i | 0.803307 | − | 0.892163i | −0.192716 | − | 0.981255i | \(-0.561730\pi\) |
0.996023 | + | 0.0890913i | \(0.0283963\pi\) | |||||||
\(860\) | 1.32718 | − | 9.10811i | 0.0452565 | − | 0.310584i | ||||
\(861\) | −11.3933 | + | 10.2586i | −0.388282 | + | 0.349610i | ||||
\(862\) | −2.39151 | − | 8.92523i | −0.0814551 | − | 0.303995i | ||||
\(863\) | 22.9660 | + | 6.15371i | 0.781770 | + | 0.209475i | 0.627565 | − | 0.778564i | \(-0.284052\pi\) |
0.154205 | + | 0.988039i | \(0.450718\pi\) | |||||||
\(864\) | 0.309017 | − | 0.951057i | 0.0105130 | − | 0.0323556i | ||||
\(865\) | 47.6284 | + | 1.90501i | 1.61941 | + | 0.0647725i | ||||
\(866\) | 13.0578 | + | 17.9726i | 0.443723 | + | 0.610732i | ||||
\(867\) | 8.16243 | + | 8.16243i | 0.277211 | + | 0.277211i | ||||
\(868\) | −8.69694 | − | 4.35266i | −0.295194 | − | 0.147739i | ||||
\(869\) | − | 25.2448i | − | 0.856373i | ||||||
\(870\) | 12.0313 | + | 8.51562i | 0.407899 | + | 0.288707i | ||||
\(871\) | −11.2352 | − | 25.2346i | −0.380689 | − | 0.855040i | ||||
\(872\) | −3.92487 | − | 7.70299i | −0.132913 | − | 0.260856i | ||||
\(873\) | −0.172918 | + | 0.645339i | −0.00585239 | + | 0.0218414i | ||||
\(874\) | −8.70116 | + | 15.0708i | −0.294321 | + | 0.509779i | ||||
\(875\) | −11.7178 | + | 15.6229i | −0.396134 | + | 0.528150i | ||||
\(876\) | −0.614304 | − | 1.89063i | −0.0207554 | − | 0.0638786i | ||||
\(877\) | −2.27425 | − | 43.3953i | −0.0767960 | − | 1.46536i | −0.716958 | − | 0.697116i | \(-0.754466\pi\) |
0.640162 | − | 0.768240i | \(-0.278867\pi\) | |||||||
\(878\) | −5.00690 | − | 13.0434i | −0.168975 | − | 0.440194i | ||||
\(879\) | −10.2779 | + | 2.18463i | −0.346664 | + | 0.0736856i | ||||
\(880\) | −9.57571 | + | 4.40627i | −0.322797 | + | 0.148535i | ||||
\(881\) | 31.2209 | + | 3.28145i | 1.05186 | + | 0.110555i | 0.614646 | − | 0.788803i | \(-0.289299\pi\) |
0.437213 | + | 0.899358i | \(0.355965\pi\) | |||||||
\(882\) | −3.31187 | + | 2.15075i | −0.111516 | + | 0.0724196i | ||||
\(883\) | −14.0746 | + | 2.22920i | −0.473649 | + | 0.0750186i | −0.388695 | − | 0.921366i | \(-0.627074\pi\) |
−0.0849534 | + | 0.996385i | \(0.527074\pi\) | |||||||
\(884\) | 17.3028 | − | 23.8153i | 0.581957 | − | 0.800996i | ||||
\(885\) | −14.4674 | − | 11.4218i | −0.486317 | − | 0.383939i | ||||
\(886\) | 0.361146 | − | 3.43607i | 0.0121329 | − | 0.115437i | ||||
\(887\) | −24.3707 | − | 19.7350i | −0.818286 | − | 0.662635i | 0.125901 | − | 0.992043i | \(-0.459818\pi\) |
−0.944188 | + | 0.329408i | \(0.893151\pi\) | |||||||
\(888\) | 6.69966 | + | 4.35081i | 0.224826 | + | 0.146004i | ||||
\(889\) | 8.16357 | + | 3.63466i | 0.273797 | + | 0.121902i | ||||
\(890\) | 1.73368 | + | 4.35444i | 0.0581131 | + | 0.145961i | ||||
\(891\) | 4.48329 | − | 1.45671i | 0.150196 | − | 0.0488016i | ||||
\(892\) | −0.722648 | + | 13.7889i | −0.0241961 | + | 0.461688i | ||||
\(893\) | 2.14267 | − | 0.574126i | 0.0717016 | − | 0.0192124i | ||||
\(894\) | −7.82152 | − | 13.5473i | −0.261591 | − | 0.453089i | ||||
\(895\) | 0.186381 | + | 15.0498i | 0.00623005 | + | 0.503058i | ||||
\(896\) | −1.59571 | + | 0.710457i | −0.0533090 | + | 0.0237347i | ||||
\(897\) | −15.6782 | − | 2.48318i | −0.523479 | − | 0.0829109i | ||||
\(898\) | 2.15981 | − | 2.15981i | 0.0720738 | − | 0.0720738i | ||||
\(899\) | 31.6521 | − | 18.5797i | 1.05566 | − | 0.619669i | ||||
\(900\) | −3.97106 | + | 3.03820i | −0.132369 | + | 0.101273i | ||||
\(901\) | 57.2020 | − | 41.5597i | 1.90568 | − | 1.38455i | ||||
\(902\) | 38.6272 | + | 14.8276i | 1.28614 | + | 0.493704i | ||||
\(903\) | 6.40635 | − | 3.26420i | 0.213190 | − | 0.108626i | ||||
\(904\) | −6.73872 | + | 3.89060i | −0.224126 | + | 0.129399i | ||||
\(905\) | 19.7370 | + | 3.94042i | 0.656079 | + | 0.130984i | ||||
\(906\) | 2.29484 | + | 2.54868i | 0.0762410 | + | 0.0846742i | ||||
\(907\) | 26.8030 | + | 13.6568i | 0.889978 | + | 0.453466i | 0.838307 | − | 0.545198i | \(-0.183546\pi\) |
0.0516703 | + | 0.998664i | \(0.483546\pi\) | |||||||
\(908\) | −5.85638 | + | 0.306920i | −0.194351 | + | 0.0101855i | ||||
\(909\) | −4.65694 | + | 10.4597i | −0.154461 | + | 0.346925i | ||||
\(910\) | −20.8547 | − | 5.31211i | −0.691327 | − | 0.176095i | ||||
\(911\) | −44.6443 | + | 4.69230i | −1.47913 | + | 0.155463i | −0.809451 | − | 0.587188i | \(-0.800235\pi\) |
−0.669679 | + | 0.742650i | \(0.733568\pi\) | |||||||
\(912\) | −4.69440 | + | 3.80145i | −0.155447 | + | 0.125879i | ||||
\(913\) | −42.6989 | − | 65.7505i | −1.41313 | − | 2.17602i | ||||
\(914\) | −5.01622 | − | 3.64450i | −0.165922 | − | 0.120549i | ||||
\(915\) | −13.1458 | − | 25.0290i | −0.434587 | − | 0.827433i | ||||
\(916\) | 2.00763 | − | 9.44515i | 0.0663339 | − | 0.312076i | ||||
\(917\) | 6.12855 | + | 7.56813i | 0.202383 | + | 0.249922i | ||||
\(918\) | 3.36221 | − | 4.15198i | 0.110969 | − | 0.137036i | ||||
\(919\) | 7.39015 | + | 34.7679i | 0.243779 | + | 1.14689i | 0.914313 | + | 0.405009i | \(0.132732\pi\) |
−0.670534 | + | 0.741879i | \(0.733935\pi\) | |||||||
\(920\) | 6.41447 | + | 0.593976i | 0.211479 | + | 0.0195828i | ||||
\(921\) | 1.79975 | + | 1.62050i | 0.0593038 | + | 0.0533974i | ||||
\(922\) | 14.4049 | − | 28.2713i | 0.474401 | − | 0.931064i | ||||
\(923\) | −65.4876 | − | 3.43206i | −2.15555 | − | 0.112968i | ||||
\(924\) | −7.13092 | − | 4.11704i | −0.234590 | − | 0.135441i | ||||
\(925\) | −15.2331 | − | 36.9233i | −0.500860 | − | 1.21403i | ||||
\(926\) | −12.4043 | − | 4.03041i | −0.407632 | − | 0.132448i | ||||
\(927\) | −1.30182 | + | 3.39137i | −0.0427575 | + | 0.111387i | ||||
\(928\) | 1.03121 | − | 6.51077i | 0.0338510 | − | 0.213727i | ||||
\(929\) | −6.58857 | −0.216164 | −0.108082 | − | 0.994142i | \(-0.534471\pi\) | ||||
−0.108082 | + | 0.994142i | \(0.534471\pi\) | |||||||
\(930\) | 2.82653 | + | 12.1248i | 0.0926855 | + | 0.397588i | ||||
\(931\) | 23.8539 | 0.781779 | ||||||||
\(932\) | 4.46620 | − | 28.1985i | 0.146295 | − | 0.923672i | ||||
\(933\) | −5.47776 | + | 14.2700i | −0.179334 | + | 0.467180i | ||||
\(934\) | 23.6228 | + | 7.67550i | 0.772961 | + | 0.251150i | ||||
\(935\) | −56.1976 | + | 3.64353i | −1.83786 | + | 0.119156i | ||||
\(936\) | −4.77173 | − | 2.75496i | −0.155969 | − | 0.0900488i | ||||
\(937\) | −13.6573 | − | 0.715747i | −0.446163 | − | 0.0233824i | −0.172068 | − | 0.985085i | \(-0.555045\pi\) |
−0.274095 | + | 0.961703i | \(0.588378\pi\) | |||||||
\(938\) | −3.97550 | + | 7.80235i | −0.129805 | + | 0.254756i | ||||
\(939\) | −12.6060 | − | 11.3505i | −0.411382 | − | 0.370410i | ||||
\(940\) | −0.524624 | − | 0.631699i | −0.0171114 | − | 0.0206038i | ||||
\(941\) | −8.63646 | − | 40.6314i | −0.281541 | − | 1.32454i | −0.860609 | − | 0.509266i | \(-0.829917\pi\) |
0.579069 | − | 0.815279i | \(-0.303416\pi\) | |||||||
\(942\) | −5.21166 | + | 6.43587i | −0.169805 | + | 0.209692i | ||||
\(943\) | −15.9130 | − | 19.6509i | −0.518199 | − | 0.639922i | ||||
\(944\) | −1.71389 | + | 8.06320i | −0.0557823 | + | 0.262435i | ||||
\(945\) | −3.72929 | − | 1.16087i | −0.121314 | − | 0.0377629i | ||||
\(946\) | −15.6983 | − | 11.4055i | −0.510397 | − | 0.370825i | ||||
\(947\) | −21.0217 | − | 32.3706i | −0.683113 | − | 1.05190i | −0.994813 | − | 0.101721i | \(-0.967565\pi\) |
0.311700 | − | 0.950181i | \(-0.399102\pi\) | |||||||
\(948\) | −4.16183 | + | 3.37019i | −0.135170 | + | 0.109459i | ||||
\(949\) | −10.8933 | + | 1.14494i | −0.353613 | + | 0.0371662i | ||||
\(950\) | 30.1130 | − | 2.32715i | 0.976995 | − | 0.0755028i | ||||
\(951\) | 4.26151 | − | 9.57151i | 0.138189 | − | 0.310377i | ||||
\(952\) | −9.31927 | + | 0.488402i | −0.302039 | + | 0.0158292i | ||||
\(953\) | 22.3201 | + | 11.3727i | 0.723020 | + | 0.368397i | 0.776454 | − | 0.630174i | \(-0.217017\pi\) |
−0.0534339 | + | 0.998571i | \(0.517017\pi\) | |||||||
\(954\) | −8.85547 | − | 9.83500i | −0.286706 | − | 0.318420i | ||||
\(955\) | 0.477172 | − | 2.39008i | 0.0154409 | − | 0.0773413i | ||||
\(956\) | 9.88073 | − | 5.70464i | 0.319566 | − | 0.184501i | ||||
\(957\) | 27.6875 | − | 14.1075i | 0.895010 | − | 0.456031i | ||||
\(958\) | 17.6748 | + | 6.78473i | 0.571048 | + | 0.219205i | ||||
\(959\) | −25.8574 | + | 18.7865i | −0.834980 | + | 0.606649i | ||||
\(960\) | 2.00477 | + | 0.990404i | 0.0647037 | + | 0.0319651i | ||||
\(961\) | 30.4123 | + | 6.00760i | 0.981042 | + | 0.193793i | ||||
\(962\) | 31.1238 | − | 31.1238i | 1.00347 | − | 1.00347i | ||||
\(963\) | 12.3993 | + | 1.96386i | 0.399562 | + | 0.0632844i | ||||
\(964\) | −25.9344 | + | 11.5467i | −0.835290 | + | 0.371895i | ||||
\(965\) | 1.43007 | − | 1.46594i | 0.0460357 | − | 0.0471903i | ||||
\(966\) | 2.51608 | + | 4.35798i | 0.0809535 | + | 0.140216i | ||||
\(967\) | 16.9247 | − | 4.53497i | 0.544262 | − | 0.145835i | 0.0237961 | − | 0.999717i | \(-0.492425\pi\) |
0.520466 | + | 0.853882i | \(0.325758\pi\) | |||||||
\(968\) | −0.587308 | + | 11.2065i | −0.0188768 | + | 0.360191i | ||||
\(969\) | −30.6928 | + | 9.97270i | −0.985995 | + | 0.320369i | ||||
\(970\) | −1.37219 | − | 0.590687i | −0.0440583 | − | 0.0189658i | ||||
\(971\) | 7.63044 | + | 3.39729i | 0.244873 | + | 0.109024i | 0.525503 | − | 0.850791i | \(-0.323877\pi\) |
−0.280631 | + | 0.959816i | \(0.590544\pi\) | |||||||
\(972\) | −0.838671 | − | 0.544639i | −0.0269004 | − | 0.0174693i | ||||
\(973\) | 10.7179 | + | 8.67916i | 0.343599 | + | 0.278241i | ||||
\(974\) | 4.18901 | − | 39.8558i | 0.134225 | − | 1.27706i | ||||
\(975\) | 11.8253 | + | 24.8826i | 0.378712 | + | 0.796881i | ||||
\(976\) | −7.43153 | + | 10.2286i | −0.237878 | + | 0.327410i | ||||
\(977\) | 3.18061 | − | 0.503758i | 0.101757 | − | 0.0161167i | −0.105348 | − | 0.994435i | \(-0.533596\pi\) |
0.207105 | + | 0.978319i | \(0.433596\pi\) | |||||||
\(978\) | −5.37134 | + | 3.48819i | −0.171757 | + | 0.111540i | ||||
\(979\) | 9.82660 | + | 1.03282i | 0.314059 | + | 0.0330090i | ||||
\(980\) | −3.69115 | − | 8.02163i | −0.117910 | − | 0.256241i | ||||
\(981\) | −8.45635 | + | 1.79745i | −0.269990 | + | 0.0573882i | ||||
\(982\) | −6.60000 | − | 17.1936i | −0.210614 | − | 0.548669i | ||||
\(983\) | −0.671322 | − | 12.8096i | −0.0214118 | − | 0.408562i | −0.988218 | − | 0.153052i | \(-0.951090\pi\) |
0.966806 | − | 0.255510i | \(-0.0822435\pi\) | |||||||
\(984\) | −2.71227 | − | 8.34751i | −0.0864640 | − | 0.266109i | ||||
\(985\) | 13.7197 | + | 48.7783i | 0.437147 | + | 1.55421i | ||||
\(986\) | 17.6090 | − | 30.4997i | 0.560786 | − | 0.971310i | ||||
\(987\) | 0.166018 | − | 0.619586i | 0.00528440 | − | 0.0197217i | ||||
\(988\) | 15.1102 | + | 29.6554i | 0.480719 | + | 0.943464i | ||||
\(989\) | 4.82334 | + | 10.8334i | 0.153373 | + | 0.344482i | ||||
\(990\) | 1.77775 | + | 10.3899i | 0.0565006 | + | 0.330211i | ||||
\(991\) | 36.9973i | 1.17526i | 0.809131 | + | 0.587628i | \(0.199938\pi\) | ||||
−0.809131 | + | 0.587628i | \(0.800062\pi\) | |||||||
\(992\) | 4.30160 | − | 3.53500i | 0.136576 | − | 0.112236i | ||||
\(993\) | −20.8364 | − | 20.8364i | −0.661223 | − | 0.661223i | ||||
\(994\) | 12.2195 | + | 16.8186i | 0.387578 | + | 0.533455i | ||||
\(995\) | 34.3596 | − | 31.7168i | 1.08927 | − | 1.00549i | ||||
\(996\) | −5.13925 | + | 15.8170i | −0.162843 | + | 0.501180i | ||||
\(997\) | 38.6077 | + | 10.3449i | 1.22272 | + | 0.327626i | 0.811740 | − | 0.584020i | \(-0.198521\pi\) |
0.410977 | + | 0.911646i | \(0.365188\pi\) | |||||||
\(998\) | −0.938801 | − | 3.50365i | −0.0297172 | − | 0.110906i | ||||
\(999\) | 5.93656 | − | 5.34531i | 0.187825 | − | 0.169118i |
(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 | 930.2.bt.a.13.1 | ✓ | 256 | |
5.2 | odd | 4 | 930.2.bt.b.757.4 | yes | 256 | ||
31.12 | odd | 30 | 930.2.bt.b.43.4 | yes | 256 | ||
155.12 | even | 60 | inner | 930.2.bt.a.787.1 | yes | 256 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.bt.a.13.1 | ✓ | 256 | 1.1 | even | 1 | trivial | |
930.2.bt.a.787.1 | yes | 256 | 155.12 | even | 60 | inner | |
930.2.bt.b.43.4 | yes | 256 | 31.12 | odd | 30 | ||
930.2.bt.b.757.4 | yes | 256 | 5.2 | odd | 4 |