Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,2,Mod(59,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 5, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.59");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.r (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.39551206064\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(56\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 59.23 | ||
Character | \(\chi\) | \(=\) | 300.59 |
Dual form | 300.2.r.a.239.23 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{7}{10}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.472300 | + | 1.33302i | −0.333966 | + | 0.942585i | ||||
\(3\) | 1.64512 | − | 0.541841i | 0.949808 | − | 0.312832i | ||||
\(4\) | −1.55387 | − | 1.25917i | −0.776933 | − | 0.629583i | ||||
\(5\) | −1.99646 | + | 1.00704i | −0.892845 | + | 0.450363i | ||||
\(6\) | −0.0547044 | + | 2.44888i | −0.0223330 | + | 0.999751i | ||||
\(7\) | 3.00727 | 1.13664 | 0.568320 | − | 0.822808i | \(-0.307594\pi\) | ||||
0.568320 | + | 0.822808i | \(0.307594\pi\) | |||||||
\(8\) | 2.41238 | − | 1.47663i | 0.852905 | − | 0.522066i | ||||
\(9\) | 2.41282 | − | 1.78278i | 0.804272 | − | 0.594261i | ||||
\(10\) | −0.399477 | − | 3.13694i | −0.126326 | − | 0.991989i | ||||
\(11\) | 3.97261 | + | 2.88627i | 1.19779 | + | 0.870243i | 0.994065 | − | 0.108786i | \(-0.0346964\pi\) |
0.203721 | + | 0.979029i | \(0.434696\pi\) | |||||||
\(12\) | −3.23856 | − | 1.22953i | −0.934891 | − | 0.354934i | ||||
\(13\) | −1.00041 | − | 1.37694i | −0.277463 | − | 0.381895i | 0.647429 | − | 0.762126i | \(-0.275844\pi\) |
−0.924891 | + | 0.380231i | \(0.875844\pi\) | |||||||
\(14\) | −1.42033 | + | 4.00874i | −0.379599 | + | 1.07138i | ||||
\(15\) | −2.73876 | + | 2.73847i | −0.707144 | + | 0.707070i | ||||
\(16\) | 0.829000 | + | 3.91315i | 0.207250 | + | 0.978288i | ||||
\(17\) | −1.60705 | + | 4.94599i | −0.389767 | + | 1.19958i | 0.543196 | + | 0.839606i | \(0.317214\pi\) |
−0.932963 | + | 0.359972i | \(0.882786\pi\) | |||||||
\(18\) | 1.23691 | + | 4.05833i | 0.291542 | + | 0.956558i | ||||
\(19\) | 0.378551 | + | 0.122999i | 0.0868455 | + | 0.0282178i | 0.352117 | − | 0.935956i | \(-0.385462\pi\) |
−0.265272 | + | 0.964174i | \(0.585462\pi\) | |||||||
\(20\) | 4.37027 | + | 0.949069i | 0.977222 | + | 0.212218i | ||||
\(21\) | 4.94730 | − | 1.62946i | 1.07959 | − | 0.355578i | ||||
\(22\) | −5.72370 | + | 3.93237i | −1.22030 | + | 0.838384i | ||||
\(23\) | −0.680361 | + | 0.936437i | −0.141865 | + | 0.195261i | −0.874037 | − | 0.485859i | \(-0.838507\pi\) |
0.732172 | + | 0.681120i | \(0.238507\pi\) | |||||||
\(24\) | 3.16855 | − | 3.73635i | 0.646777 | − | 0.762679i | ||||
\(25\) | 2.97173 | − | 4.02105i | 0.594346 | − | 0.804210i | ||||
\(26\) | 2.30798 | − | 0.683229i | 0.452631 | − | 0.133992i | ||||
\(27\) | 3.00338 | − | 4.24025i | 0.578000 | − | 0.816037i | ||||
\(28\) | −4.67289 | − | 3.78665i | −0.883093 | − | 0.715609i | ||||
\(29\) | 4.13192 | − | 1.34254i | 0.767278 | − | 0.249304i | 0.100878 | − | 0.994899i | \(-0.467835\pi\) |
0.666399 | + | 0.745595i | \(0.267835\pi\) | |||||||
\(30\) | −2.35691 | − | 4.94419i | −0.430311 | − | 0.902681i | ||||
\(31\) | −5.06826 | − | 1.64678i | −0.910286 | − | 0.295770i | −0.183810 | − | 0.982962i | \(-0.558843\pi\) |
−0.726476 | + | 0.687192i | \(0.758843\pi\) | |||||||
\(32\) | −5.60783 | − | 0.743110i | −0.991334 | − | 0.131365i | ||||
\(33\) | 8.09930 | + | 2.59572i | 1.40991 | + | 0.451858i | ||||
\(34\) | −5.83407 | − | 4.47821i | −1.00054 | − | 0.768007i | ||||
\(35\) | −6.00389 | + | 3.02845i | −1.01484 | + | 0.511901i | ||||
\(36\) | −5.99401 | − | 0.267929i | −0.999002 | − | 0.0446548i | ||||
\(37\) | 2.06350 | + | 2.84016i | 0.339237 | + | 0.466919i | 0.944218 | − | 0.329320i | \(-0.106819\pi\) |
−0.604981 | + | 0.796240i | \(0.706819\pi\) | |||||||
\(38\) | −0.342749 | + | 0.446522i | −0.0556012 | + | 0.0724355i | ||||
\(39\) | −2.39187 | − | 1.72317i | −0.383005 | − | 0.275927i | ||||
\(40\) | −3.32920 | + | 5.37740i | −0.526393 | + | 0.850241i | ||||
\(41\) | −6.11829 | − | 8.42111i | −0.955517 | − | 1.31516i | −0.949033 | − | 0.315177i | \(-0.897936\pi\) |
−0.00648421 | − | 0.999979i | \(-0.502064\pi\) | |||||||
\(42\) | −0.164511 | + | 7.36443i | −0.0253845 | + | 1.13636i | ||||
\(43\) | 10.9664 | 1.67236 | 0.836181 | − | 0.548454i | \(-0.184783\pi\) | ||||
0.836181 | + | 0.548454i | \(0.184783\pi\) | |||||||
\(44\) | −2.53861 | − | 9.48705i | −0.382710 | − | 1.43023i | ||||
\(45\) | −3.02176 | + | 5.98907i | −0.450457 | + | 0.892798i | ||||
\(46\) | −0.926951 | − | 1.34921i | −0.136672 | − | 0.198930i | ||||
\(47\) | −10.9627 | + | 3.56200i | −1.59907 | + | 0.519570i | −0.966878 | − | 0.255239i | \(-0.917846\pi\) |
−0.632195 | + | 0.774809i | \(0.717846\pi\) | |||||||
\(48\) | 3.48411 | + | 5.98840i | 0.502888 | + | 0.864352i | ||||
\(49\) | 2.04365 | 0.291950 | ||||||||
\(50\) | 3.95658 | + | 5.86050i | 0.559545 | + | 0.828800i | ||||
\(51\) | 0.0361586 | + | 9.00749i | 0.00506321 | + | 1.26130i | ||||
\(52\) | −0.179301 | + | 3.39926i | −0.0248645 | + | 0.471392i | ||||
\(53\) | −2.93358 | − | 9.02864i | −0.402959 | − | 1.24018i | −0.922588 | − | 0.385788i | \(-0.873930\pi\) |
0.519629 | − | 0.854392i | \(-0.326070\pi\) | |||||||
\(54\) | 4.23383 | + | 6.00622i | 0.576151 | + | 0.817343i | ||||
\(55\) | −10.8378 | − | 1.76174i | −1.46136 | − | 0.237553i | ||||
\(56\) | 7.25467 | − | 4.44060i | 0.969446 | − | 0.593401i | ||||
\(57\) | 0.689406 | − | 0.00276747i | 0.0913140 | − | 0.000366560i | ||||
\(58\) | −0.161873 | + | 6.14200i | −0.0212550 | + | 0.806483i | ||||
\(59\) | 0.303011 | − | 0.220150i | 0.0394487 | − | 0.0286611i | −0.567886 | − | 0.823107i | \(-0.692239\pi\) |
0.607335 | + | 0.794446i | \(0.292239\pi\) | |||||||
\(60\) | 7.70385 | − | 0.806665i | 0.994563 | − | 0.104140i | ||||
\(61\) | −6.49243 | − | 4.71703i | −0.831270 | − | 0.603953i | 0.0886481 | − | 0.996063i | \(-0.471745\pi\) |
−0.919918 | + | 0.392110i | \(0.871745\pi\) | |||||||
\(62\) | 4.58892 | − | 5.97830i | 0.582793 | − | 0.759245i | ||||
\(63\) | 7.25598 | − | 5.36131i | 0.914167 | − | 0.675461i | ||||
\(64\) | 3.63916 | − | 7.12436i | 0.454894 | − | 0.890545i | ||||
\(65\) | 3.38391 | + | 1.74156i | 0.419723 | + | 0.216014i | ||||
\(66\) | −7.28544 | + | 9.57054i | −0.896776 | + | 1.17805i | ||||
\(67\) | −0.185360 | + | 0.570480i | −0.0226453 | + | 0.0696952i | −0.961741 | − | 0.273962i | \(-0.911666\pi\) |
0.939095 | + | 0.343657i | \(0.111666\pi\) | |||||||
\(68\) | 8.72496 | − | 5.66186i | 1.05806 | − | 0.686601i | ||||
\(69\) | −0.611873 | + | 1.90920i | −0.0736609 | + | 0.229840i | ||||
\(70\) | −1.20133 | − | 9.43362i | −0.143587 | − | 1.12753i | ||||
\(71\) | −2.83271 | − | 8.71817i | −0.336180 | − | 1.03466i | −0.966138 | − | 0.258027i | \(-0.916928\pi\) |
0.629957 | − | 0.776630i | \(-0.283072\pi\) | |||||||
\(72\) | 3.18812 | − | 7.86358i | 0.375724 | − | 0.926732i | ||||
\(73\) | −6.41908 | + | 8.83511i | −0.751297 | + | 1.03407i | 0.246592 | + | 0.969120i | \(0.420689\pi\) |
−0.997888 | + | 0.0649519i | \(0.979311\pi\) | |||||||
\(74\) | −4.76057 | + | 1.40927i | −0.553405 | + | 0.163824i | ||||
\(75\) | 2.71007 | − | 8.22530i | 0.312932 | − | 0.949776i | ||||
\(76\) | −0.433342 | − | 0.667782i | −0.0497077 | − | 0.0765998i | ||||
\(77\) | 11.9467 | + | 8.67978i | 1.36145 | + | 0.989152i | ||||
\(78\) | 3.42669 | − | 2.37455i | 0.387996 | − | 0.268865i | ||||
\(79\) | −2.30660 | + | 0.749460i | −0.259513 | + | 0.0843208i | −0.435884 | − | 0.900003i | \(-0.643564\pi\) |
0.176371 | + | 0.984324i | \(0.443564\pi\) | |||||||
\(80\) | −5.59578 | − | 6.97762i | −0.625627 | − | 0.780122i | ||||
\(81\) | 2.64336 | − | 8.60306i | 0.293707 | − | 0.955896i | ||||
\(82\) | 14.1151 | − | 4.17850i | 1.55876 | − | 0.461438i | ||||
\(83\) | 0.583515 | + | 0.189595i | 0.0640491 | + | 0.0208108i | 0.340866 | − | 0.940112i | \(-0.389280\pi\) |
−0.276817 | + | 0.960923i | \(0.589280\pi\) | |||||||
\(84\) | −9.73921 | − | 3.69751i | −1.06263 | − | 0.403432i | ||||
\(85\) | −1.77241 | − | 11.4928i | −0.192245 | − | 1.24657i | ||||
\(86\) | −5.17943 | + | 14.6184i | −0.558512 | + | 1.57634i | ||||
\(87\) | 6.07004 | − | 4.44748i | 0.650777 | − | 0.476820i | ||||
\(88\) | 13.8454 | + | 1.09672i | 1.47592 | + | 0.116911i | ||||
\(89\) | 2.36033 | − | 3.24871i | 0.250194 | − | 0.344363i | −0.665385 | − | 0.746500i | \(-0.731733\pi\) |
0.915579 | + | 0.402137i | \(0.131733\pi\) | |||||||
\(90\) | −6.55636 | − | 6.85669i | −0.691101 | − | 0.722758i | ||||
\(91\) | −3.00849 | − | 4.14083i | −0.315375 | − | 0.434076i | ||||
\(92\) | 2.23632 | − | 0.598409i | 0.233152 | − | 0.0623885i | ||||
\(93\) | −9.23017 | + | 0.0370524i | −0.957124 | + | 0.00384216i | ||||
\(94\) | 0.429478 | − | 16.2958i | 0.0442973 | − | 1.68078i | ||||
\(95\) | −0.879628 | + | 0.135655i | −0.0902479 | + | 0.0139179i | ||||
\(96\) | −9.62819 | + | 1.81605i | −0.982673 | + | 0.185350i | ||||
\(97\) | −3.41159 | + | 1.10849i | −0.346395 | + | 0.112550i | −0.477047 | − | 0.878878i | \(-0.658293\pi\) |
0.130652 | + | 0.991428i | \(0.458293\pi\) | |||||||
\(98\) | −0.965214 | + | 2.72422i | −0.0975014 | + | 0.275187i | ||||
\(99\) | 14.7308 | − | 0.118269i | 1.48050 | − | 0.0118864i | ||||
\(100\) | −9.68084 | + | 2.50627i | −0.968084 | + | 0.250627i | ||||
\(101\) | − | 10.6388i | − | 1.05860i | −0.848435 | − | 0.529299i | \(-0.822455\pi\) | ||
0.848435 | − | 0.529299i | \(-0.177545\pi\) | |||||||
\(102\) | −12.0242 | − | 4.20603i | −1.19057 | − | 0.416459i | ||||
\(103\) | 1.21074 | + | 3.72627i | 0.119297 | + | 0.367160i | 0.992819 | − | 0.119625i | \(-0.0381694\pi\) |
−0.873522 | + | 0.486785i | \(0.838169\pi\) | |||||||
\(104\) | −4.44658 | − | 1.84448i | −0.436023 | − | 0.180866i | ||||
\(105\) | −8.23617 | + | 8.23531i | −0.803768 | + | 0.803684i | ||||
\(106\) | 13.4209 | + | 0.353709i | 1.30355 | + | 0.0343553i | ||||
\(107\) | 8.18685i | 0.791453i | 0.918369 | + | 0.395726i | \(0.129507\pi\) | ||||
−0.918369 | + | 0.395726i | \(0.870493\pi\) | |||||||
\(108\) | −10.0060 | + | 2.80703i | −0.962830 | + | 0.270107i | ||||
\(109\) | −4.70187 | + | 3.41611i | −0.450358 | + | 0.327204i | −0.789737 | − | 0.613445i | \(-0.789783\pi\) |
0.339379 | + | 0.940650i | \(0.389783\pi\) | |||||||
\(110\) | 7.46710 | − | 13.6148i | 0.711960 | − | 1.29812i | ||||
\(111\) | 4.93361 | + | 3.55431i | 0.468278 | + | 0.337360i | ||||
\(112\) | 2.49302 | + | 11.7679i | 0.235568 | + | 1.11196i | ||||
\(113\) | −10.1280 | + | 7.35842i | −0.952762 | + | 0.692222i | −0.951459 | − | 0.307777i | \(-0.900415\pi\) |
−0.00130374 | + | 0.999999i | \(0.500415\pi\) | |||||||
\(114\) | −0.321917 | + | 0.920297i | −0.0301503 | + | 0.0861937i | ||||
\(115\) | 0.415283 | − | 2.55471i | 0.0387254 | − | 0.238228i | ||||
\(116\) | −8.11093 | − | 3.11664i | −0.753081 | − | 0.289373i | ||||
\(117\) | −4.86858 | − | 1.53880i | −0.450101 | − | 0.142262i | ||||
\(118\) | 0.150352 | + | 0.507896i | 0.0138410 | + | 0.0467556i | ||||
\(119\) | −4.83282 | + | 14.8739i | −0.443024 | + | 1.36349i | ||||
\(120\) | −2.56323 | + | 10.6503i | −0.233990 | + | 0.972239i | ||||
\(121\) | 4.05188 | + | 12.4704i | 0.368353 | + | 1.13367i | ||||
\(122\) | 9.35424 | − | 6.42667i | 0.846894 | − | 0.581843i | ||||
\(123\) | −14.6282 | − | 10.5386i | −1.31898 | − | 0.950230i | ||||
\(124\) | 5.80183 | + | 8.94065i | 0.521020 | + | 0.802894i | ||||
\(125\) | −1.88357 | + | 11.0205i | −0.168472 | + | 0.985706i | ||||
\(126\) | 3.71971 | + | 12.2045i | 0.331378 | + | 1.08726i | ||||
\(127\) | 6.51733 | + | 4.73512i | 0.578319 | + | 0.420174i | 0.838118 | − | 0.545489i | \(-0.183656\pi\) |
−0.259799 | + | 0.965663i | \(0.583656\pi\) | |||||||
\(128\) | 7.77812 | + | 8.21589i | 0.687495 | + | 0.726189i | ||||
\(129\) | 18.0410 | − | 5.94205i | 1.58842 | − | 0.523169i | ||||
\(130\) | −3.91975 | + | 3.68827i | −0.343784 | + | 0.323483i | ||||
\(131\) | 1.23161 | − | 3.79050i | 0.107606 | − | 0.331178i | −0.882727 | − | 0.469886i | \(-0.844295\pi\) |
0.990333 | + | 0.138708i | \(0.0442950\pi\) | |||||||
\(132\) | −9.31678 | − | 14.2318i | −0.810922 | − | 1.23872i | ||||
\(133\) | 1.13840 | + | 0.369890i | 0.0987121 | + | 0.0320735i | ||||
\(134\) | −0.672913 | − | 0.516526i | −0.0581309 | − | 0.0446210i | ||||
\(135\) | −1.72601 | + | 11.4900i | −0.148552 | + | 0.988905i | ||||
\(136\) | 3.42656 | + | 14.3046i | 0.293825 | + | 1.22661i | ||||
\(137\) | 5.45028 | − | 3.95986i | 0.465649 | − | 0.338314i | −0.330094 | − | 0.943948i | \(-0.607081\pi\) |
0.795743 | + | 0.605634i | \(0.207081\pi\) | |||||||
\(138\) | −2.25600 | − | 1.71735i | −0.192044 | − | 0.146190i | ||||
\(139\) | 6.84697 | − | 9.42404i | 0.580752 | − | 0.799337i | −0.413025 | − | 0.910720i | \(-0.635528\pi\) |
0.993778 | + | 0.111383i | \(0.0355279\pi\) | |||||||
\(140\) | 13.1426 | + | 2.85410i | 1.11075 | + | 0.241216i | ||||
\(141\) | −16.1049 | + | 11.7999i | −1.35627 | + | 0.993734i | ||||
\(142\) | 12.9594 | + | 0.341546i | 1.08752 | + | 0.0286619i | ||||
\(143\) | − | 8.35748i | − | 0.698888i | ||||||
\(144\) | 8.97653 | + | 7.96379i | 0.748044 | + | 0.663649i | ||||
\(145\) | −6.89722 | + | 6.84135i | −0.572783 | + | 0.568143i | ||||
\(146\) | −8.74562 | − | 12.7296i | −0.723792 | − | 1.05351i | ||||
\(147\) | 3.36204 | − | 1.10733i | 0.277296 | − | 0.0913313i | ||||
\(148\) | 0.369836 | − | 7.01152i | 0.0304004 | − | 0.576343i | ||||
\(149\) | 8.04254i | 0.658871i | 0.944178 | + | 0.329435i | \(0.106858\pi\) | ||||
−0.944178 | + | 0.329435i | \(0.893142\pi\) | |||||||
\(150\) | 9.68450 | + | 7.49737i | 0.790736 | + | 0.612158i | ||||
\(151\) | 5.58358i | 0.454386i | 0.973850 | + | 0.227193i | \(0.0729548\pi\) | ||||
−0.973850 | + | 0.227193i | \(0.927045\pi\) | |||||||
\(152\) | 1.09483 | − | 0.262258i | 0.0888026 | − | 0.0212720i | ||||
\(153\) | 4.94012 | + | 14.7988i | 0.399385 | + | 1.19641i | ||||
\(154\) | −17.2127 | + | 11.8257i | −1.38704 | + | 0.952940i | ||||
\(155\) | 11.7770 | − | 1.81623i | 0.945949 | − | 0.145883i | ||||
\(156\) | 1.54689 | + | 5.68933i | 0.123850 | + | 0.455511i | ||||
\(157\) | 10.5661i | 0.843264i | 0.906767 | + | 0.421632i | \(0.138543\pi\) | ||||
−0.906767 | + | 0.421632i | \(0.861457\pi\) | |||||||
\(158\) | 0.0903641 | − | 3.42870i | 0.00718898 | − | 0.272773i | ||||
\(159\) | −9.71818 | − | 13.2636i | −0.770702 | − | 1.05187i | ||||
\(160\) | 11.9442 | − | 4.16374i | 0.944270 | − | 0.329172i | ||||
\(161\) | −2.04603 | + | 2.81611i | −0.161250 | + | 0.221941i | ||||
\(162\) | 10.2196 | + | 7.58687i | 0.802925 | + | 0.596080i | ||||
\(163\) | −11.6419 | + | 8.45837i | −0.911867 | + | 0.662510i | −0.941486 | − | 0.337051i | \(-0.890571\pi\) |
0.0296191 | + | 0.999561i | \(0.490571\pi\) | |||||||
\(164\) | −1.09657 | + | 20.7892i | −0.0856277 | + | 1.62337i | ||||
\(165\) | −18.7840 | + | 2.97408i | −1.46233 | + | 0.231532i | ||||
\(166\) | −0.528328 | + | 0.688289i | −0.0410062 | + | 0.0534216i | ||||
\(167\) | 10.3176 | + | 3.35241i | 0.798403 | + | 0.259417i | 0.679678 | − | 0.733510i | \(-0.262119\pi\) |
0.118725 | + | 0.992927i | \(0.462119\pi\) | |||||||
\(168\) | 9.52867 | − | 11.2362i | 0.735153 | − | 0.866891i | ||||
\(169\) | 3.12207 | − | 9.60874i | 0.240159 | − | 0.739134i | ||||
\(170\) | 16.1573 | + | 3.06542i | 1.23921 | + | 0.235107i | ||||
\(171\) | 1.13265 | − | 0.378101i | 0.0866162 | − | 0.0289141i | ||||
\(172\) | −17.0403 | − | 13.8085i | −1.29931 | − | 1.05289i | ||||
\(173\) | −20.7313 | − | 15.0622i | −1.57617 | − | 1.14515i | −0.920926 | − | 0.389738i | \(-0.872566\pi\) |
−0.655245 | − | 0.755417i | \(-0.727434\pi\) | |||||||
\(174\) | 3.06169 | + | 10.1920i | 0.232106 | + | 0.772654i | ||||
\(175\) | 8.93677 | − | 12.0924i | 0.675557 | − | 0.914097i | ||||
\(176\) | −8.00112 | + | 17.9381i | −0.603107 | + | 1.35214i | ||||
\(177\) | 0.379202 | − | 0.526357i | 0.0285026 | − | 0.0395634i | ||||
\(178\) | 3.21581 | + | 4.68072i | 0.241035 | + | 0.350835i | ||||
\(179\) | −1.83074 | − | 5.63445i | −0.136836 | − | 0.421138i | 0.859035 | − | 0.511917i | \(-0.171064\pi\) |
−0.995871 | + | 0.0907786i | \(0.971064\pi\) | |||||||
\(180\) | 12.2366 | − | 5.50132i | 0.912066 | − | 0.410044i | ||||
\(181\) | 2.15169 | − | 6.62223i | 0.159934 | − | 0.492226i | −0.838693 | − | 0.544604i | \(-0.816680\pi\) |
0.998627 | + | 0.0523777i | \(0.0166800\pi\) | |||||||
\(182\) | 6.94070 | − | 2.05465i | 0.514479 | − | 0.152301i | ||||
\(183\) | −13.2367 | − | 4.24219i | −0.978484 | − | 0.313592i | ||||
\(184\) | −0.258524 | + | 3.26368i | −0.0190586 | + | 0.240602i | ||||
\(185\) | −6.97986 | − | 3.59224i | −0.513170 | − | 0.264107i | ||||
\(186\) | 4.31001 | − | 12.3215i | 0.316025 | − | 0.903454i | ||||
\(187\) | −20.6596 | + | 15.0101i | −1.51078 | + | 1.09765i | ||||
\(188\) | 21.5197 | + | 8.26899i | 1.56949 | + | 0.603078i | ||||
\(189\) | 9.03195 | − | 12.7516i | 0.656978 | − | 0.927540i | ||||
\(190\) | 0.234618 | − | 1.23663i | 0.0170209 | − | 0.0897144i | ||||
\(191\) | −17.2162 | + | 12.5083i | −1.24572 | + | 0.905070i | −0.997966 | − | 0.0637519i | \(-0.979693\pi\) |
−0.247757 | + | 0.968822i | \(0.579693\pi\) | |||||||
\(192\) | 2.12656 | − | 13.6923i | 0.153471 | − | 0.988153i | ||||
\(193\) | − | 11.8846i | − | 0.855470i | −0.903904 | − | 0.427735i | \(-0.859312\pi\) | ||
0.903904 | − | 0.427735i | \(-0.140688\pi\) | |||||||
\(194\) | 0.133654 | − | 5.07125i | 0.00959577 | − | 0.364094i | ||||
\(195\) | 6.51058 | + | 1.03152i | 0.466232 | + | 0.0738689i | ||||
\(196\) | −3.17555 | − | 2.57329i | −0.226825 | − | 0.183807i | ||||
\(197\) | 3.89079 | + | 11.9746i | 0.277207 | + | 0.853156i | 0.988627 | + | 0.150388i | \(0.0480524\pi\) |
−0.711420 | + | 0.702767i | \(0.751948\pi\) | |||||||
\(198\) | −6.79968 | + | 19.6922i | −0.483232 | + | 1.39946i | ||||
\(199\) | 5.65748i | 0.401048i | 0.979689 | + | 0.200524i | \(0.0642645\pi\) | ||||
−0.979689 | + | 0.200524i | \(0.935735\pi\) | |||||||
\(200\) | 1.23135 | − | 14.0884i | 0.0870699 | − | 0.996202i | ||||
\(201\) | 0.00417060 | + | 1.03894i | 0.000294171 | + | 0.0732813i | ||||
\(202\) | 14.1817 | + | 5.02469i | 0.997818 | + | 0.353536i | ||||
\(203\) | 12.4258 | − | 4.03738i | 0.872118 | − | 0.283368i | ||||
\(204\) | 11.2857 | − | 14.0420i | 0.790160 | − | 0.983134i | ||||
\(205\) | 20.6954 | + | 10.6510i | 1.44543 | + | 0.743901i | ||||
\(206\) | −5.53901 | − | 0.145981i | −0.385921 | − | 0.0101710i | ||||
\(207\) | 0.0278787 | + | 3.47239i | 0.00193770 | + | 0.241348i | ||||
\(208\) | 4.55884 | − | 5.05622i | 0.316099 | − | 0.350586i | ||||
\(209\) | 1.14883 | + | 1.58122i | 0.0794660 | + | 0.109376i | ||||
\(210\) | −7.08786 | − | 14.8685i | −0.489109 | − | 1.02602i | ||||
\(211\) | 7.55596 | − | 10.3999i | 0.520174 | − | 0.715958i | −0.465420 | − | 0.885090i | \(-0.654097\pi\) |
0.985593 | + | 0.169132i | \(0.0540966\pi\) | |||||||
\(212\) | −6.81017 | + | 17.7232i | −0.467724 | + | 1.21723i | ||||
\(213\) | −9.38400 | − | 12.8075i | −0.642981 | − | 0.877557i | ||||
\(214\) | −10.9132 | − | 3.86665i | −0.746011 | − | 0.264318i | ||||
\(215\) | −21.8940 | + | 11.0436i | −1.49316 | + | 0.753170i | ||||
\(216\) | 0.984024 | − | 14.6640i | 0.0669543 | − | 0.997756i | ||||
\(217\) | −15.2416 | − | 4.95230i | −1.03467 | − | 0.336184i | ||||
\(218\) | −2.33304 | − | 7.88110i | −0.158013 | − | 0.533776i | ||||
\(219\) | −5.77291 | + | 18.0129i | −0.390097 | + | 1.21720i | ||||
\(220\) | 14.6221 | + | 16.3841i | 0.985822 | + | 1.10461i | ||||
\(221\) | 8.41803 | − | 2.73518i | 0.566258 | − | 0.183988i | ||||
\(222\) | −7.06809 | + | 4.89789i | −0.474379 | + | 0.328725i | ||||
\(223\) | 2.79547 | + | 2.03103i | 0.187199 | + | 0.136008i | 0.677438 | − | 0.735580i | \(-0.263090\pi\) |
−0.490239 | + | 0.871588i | \(0.663090\pi\) | |||||||
\(224\) | −16.8642 | − | 2.23473i | −1.12679 | − | 0.149314i | ||||
\(225\) | 0.00156817 | − | 15.0000i | 0.000104544 | − | 1.00000i | ||||
\(226\) | −5.02545 | − | 16.9762i | −0.334288 | − | 1.12924i | ||||
\(227\) | 0.351048 | − | 0.483176i | 0.0232999 | − | 0.0320695i | −0.797208 | − | 0.603705i | \(-0.793691\pi\) |
0.820508 | + | 0.571635i | \(0.193691\pi\) | |||||||
\(228\) | −1.07473 | − | 0.863777i | −0.0711757 | − | 0.0572050i | ||||
\(229\) | 3.04992 | + | 9.38669i | 0.201544 | + | 0.620290i | 0.999838 | + | 0.0180210i | \(0.00573658\pi\) |
−0.798293 | + | 0.602269i | \(0.794263\pi\) | |||||||
\(230\) | 3.20934 | + | 1.76017i | 0.211618 | + | 0.116062i | ||||
\(231\) | 24.3568 | + | 7.80603i | 1.60256 | + | 0.513599i | ||||
\(232\) | 7.98532 | − | 9.34001i | 0.524262 | − | 0.613202i | ||||
\(233\) | 4.44821 | − | 13.6902i | 0.291412 | − | 0.896874i | −0.692991 | − | 0.720946i | \(-0.743707\pi\) |
0.984403 | − | 0.175928i | \(-0.0562926\pi\) | |||||||
\(234\) | 4.35067 | − | 5.76313i | 0.284412 | − | 0.376747i | ||||
\(235\) | 18.2995 | − | 18.1513i | 1.19373 | − | 1.18406i | ||||
\(236\) | −0.748045 | − | 0.0394571i | −0.0486936 | − | 0.00256844i | ||||
\(237\) | −3.38854 | + | 2.48276i | −0.220109 | + | 0.161273i | ||||
\(238\) | −17.5446 | − | 13.4672i | −1.13725 | − | 0.872947i | ||||
\(239\) | −14.8081 | − | 10.7587i | −0.957854 | − | 0.695921i | −0.00520227 | − | 0.999986i | \(-0.501656\pi\) |
−0.952651 | + | 0.304065i | \(0.901656\pi\) | |||||||
\(240\) | −12.9865 | − | 8.44698i | −0.838273 | − | 0.545250i | ||||
\(241\) | 6.23479 | − | 4.52984i | 0.401618 | − | 0.291793i | −0.368582 | − | 0.929595i | \(-0.620156\pi\) |
0.770200 | + | 0.637803i | \(0.220156\pi\) | |||||||
\(242\) | −18.5370 | − | 0.488545i | −1.19160 | − | 0.0314048i | ||||
\(243\) | −0.312859 | − | 15.5853i | −0.0200699 | − | 0.999799i | ||||
\(244\) | 4.14884 | + | 15.5047i | 0.265603 | + | 0.992585i | ||||
\(245\) | −4.08007 | + | 2.05804i | −0.260666 | + | 0.131483i | ||||
\(246\) | 20.9570 | − | 14.5223i | 1.33617 | − | 0.925907i | ||||
\(247\) | −0.209343 | − | 0.644290i | −0.0133202 | − | 0.0409952i | ||||
\(248\) | −14.6582 | + | 3.51127i | −0.930799 | + | 0.222966i | ||||
\(249\) | 1.06268 | − | 0.00426589i | 0.0673446 | − | 0.000270340i | ||||
\(250\) | −13.8009 | − | 7.71583i | −0.872848 | − | 0.487992i | ||||
\(251\) | 28.3191 | 1.78749 | 0.893743 | − | 0.448579i | \(-0.148070\pi\) | ||||
0.893743 | + | 0.448579i | \(0.148070\pi\) | |||||||
\(252\) | −18.0256 | − | 0.805733i | −1.13551 | − | 0.0507564i | ||||
\(253\) | −5.40562 | + | 1.75639i | −0.339848 | + | 0.110423i | ||||
\(254\) | −9.39012 | + | 6.45131i | −0.589188 | + | 0.404791i | ||||
\(255\) | −9.14312 | − | 17.9467i | −0.572565 | − | 1.12387i | ||||
\(256\) | −14.6255 | + | 6.48800i | −0.914095 | + | 0.405500i | ||||
\(257\) | 3.39445 | 0.211740 | 0.105870 | − | 0.994380i | \(-0.466237\pi\) | ||||
0.105870 | + | 0.994380i | \(0.466237\pi\) | |||||||
\(258\) | −0.599910 | + | 26.8554i | −0.0373488 | + | 1.67194i | ||||
\(259\) | 6.20549 | + | 8.54112i | 0.385590 | + | 0.530719i | ||||
\(260\) | −3.06523 | − | 6.96706i | −0.190098 | − | 0.432078i | ||||
\(261\) | 7.57609 | − | 10.6056i | 0.468948 | − | 0.656471i | ||||
\(262\) | 4.47112 | + | 3.43201i | 0.276227 | + | 0.212030i | ||||
\(263\) | 7.03234 | + | 9.67919i | 0.433633 | + | 0.596844i | 0.968782 | − | 0.247913i | \(-0.0797447\pi\) |
−0.535150 | + | 0.844757i | \(0.679745\pi\) | |||||||
\(264\) | 23.3715 | − | 5.69776i | 1.43842 | − | 0.350673i | ||||
\(265\) | 14.9490 | + | 15.0711i | 0.918311 | + | 0.925811i | ||||
\(266\) | −1.03074 | + | 1.34281i | −0.0631985 | + | 0.0823330i | ||||
\(267\) | 2.12273 | − | 6.62344i | 0.129909 | − | 0.405348i | ||||
\(268\) | 1.00635 | − | 0.653050i | 0.0614728 | − | 0.0398914i | ||||
\(269\) | 21.2551 | + | 6.90619i | 1.29594 | + | 0.421078i | 0.874169 | − | 0.485623i | \(-0.161407\pi\) |
0.421775 | + | 0.906700i | \(0.361407\pi\) | |||||||
\(270\) | −14.5012 | − | 7.72754i | −0.882516 | − | 0.470283i | ||||
\(271\) | −3.48491 | + | 1.13232i | −0.211693 | + | 0.0687833i | −0.412944 | − | 0.910756i | \(-0.635499\pi\) |
0.201251 | + | 0.979540i | \(0.435499\pi\) | |||||||
\(272\) | −20.6866 | − | 2.18840i | −1.25431 | − | 0.132692i | ||||
\(273\) | −7.19298 | − | 5.18202i | −0.435339 | − | 0.313630i | ||||
\(274\) | 2.70439 | + | 9.13556i | 0.163378 | + | 0.551899i | ||||
\(275\) | 23.4113 | − | 7.39685i | 1.41176 | − | 0.446047i | ||||
\(276\) | 3.35476 | − | 2.19618i | 0.201933 | − | 0.132195i | ||||
\(277\) | 15.1007 | − | 20.7843i | 0.907313 | − | 1.24881i | −0.0607623 | − | 0.998152i | \(-0.519353\pi\) |
0.968076 | − | 0.250658i | \(-0.0806468\pi\) | |||||||
\(278\) | 9.32858 | + | 13.5781i | 0.559491 | + | 0.814360i | ||||
\(279\) | −15.1646 | + | 5.06224i | −0.907882 | + | 0.303068i | ||||
\(280\) | −10.0118 | + | 16.1713i | −0.598319 | + | 0.966418i | ||||
\(281\) | −5.60466 | − | 1.82106i | −0.334346 | − | 0.108636i | 0.137033 | − | 0.990567i | \(-0.456243\pi\) |
−0.471379 | + | 0.881931i | \(0.656243\pi\) | |||||||
\(282\) | −8.12319 | − | 27.0412i | −0.483729 | − | 1.61028i | ||||
\(283\) | −8.34697 | + | 25.6893i | −0.496176 | + | 1.52707i | 0.318941 | + | 0.947775i | \(0.396673\pi\) |
−0.815116 | + | 0.579297i | \(0.803327\pi\) | |||||||
\(284\) | −6.57598 | + | 17.1137i | −0.390213 | + | 1.01551i | ||||
\(285\) | −1.37359 | + | 0.699787i | −0.0813642 | + | 0.0414518i | ||||
\(286\) | 11.1407 | + | 3.94724i | 0.658761 | + | 0.233405i | ||||
\(287\) | −18.3993 | − | 25.3245i | −1.08608 | − | 1.49486i | ||||
\(288\) | −14.8555 | + | 8.20457i | −0.875367 | + | 0.483459i | ||||
\(289\) | −8.12690 | − | 5.90454i | −0.478053 | − | 0.347326i | ||||
\(290\) | −5.86208 | − | 12.4253i | −0.344233 | − | 0.729637i | ||||
\(291\) | −5.01184 | + | 3.67214i | −0.293799 | + | 0.215265i | ||||
\(292\) | 21.0993 | − | 5.64588i | 1.23474 | − | 0.330400i | ||||
\(293\) | 19.0913 | 1.11533 | 0.557663 | − | 0.830068i | \(-0.311698\pi\) | ||||
0.557663 | + | 0.830068i | \(0.311698\pi\) | |||||||
\(294\) | −0.111796 | + | 5.00465i | −0.00652010 | + | 0.291877i | ||||
\(295\) | −0.383249 | + | 0.744667i | −0.0223136 | + | 0.0433562i | ||||
\(296\) | 9.17179 | + | 3.80453i | 0.533100 | + | 0.221134i | ||||
\(297\) | 24.1697 | − | 8.17630i | 1.40247 | − | 0.474437i | ||||
\(298\) | −10.7208 | − | 3.79849i | −0.621041 | − | 0.220041i | ||||
\(299\) | 1.97005 | 0.113931 | ||||||||
\(300\) | −14.5681 | + | 9.36859i | −0.841090 | + | 0.540896i | ||||
\(301\) | 32.9789 | 1.90087 | ||||||||
\(302\) | −7.44301 | − | 2.63712i | −0.428297 | − | 0.151749i | ||||
\(303\) | −5.76453 | − | 17.5020i | −0.331164 | − | 1.00547i | ||||
\(304\) | −0.167494 | + | 1.58329i | −0.00960643 | + | 0.0908081i | ||||
\(305\) | 17.7121 | + | 2.87921i | 1.01419 | + | 0.164863i | ||||
\(306\) | −22.0602 | − | 0.404201i | −1.26110 | − | 0.0231066i | ||||
\(307\) | −25.6193 | −1.46217 | −0.731085 | − | 0.682286i | \(-0.760986\pi\) | ||||
−0.731085 | + | 0.682286i | \(0.760986\pi\) | |||||||
\(308\) | −7.63427 | − | 28.5301i | −0.435003 | − | 1.62565i | ||||
\(309\) | 4.01085 | + | 5.47411i | 0.228169 | + | 0.311411i | ||||
\(310\) | −3.14120 | + | 16.5567i | −0.178408 | + | 0.940357i | ||||
\(311\) | 8.18942 | + | 5.94996i | 0.464380 | + | 0.337391i | 0.795247 | − | 0.606286i | \(-0.207341\pi\) |
−0.330867 | + | 0.943677i | \(0.607341\pi\) | |||||||
\(312\) | −8.31456 | − | 0.625040i | −0.470719 | − | 0.0353859i | ||||
\(313\) | 12.1594 | + | 16.7359i | 0.687287 | + | 0.945970i | 0.999992 | − | 0.00388029i | \(-0.00123514\pi\) |
−0.312705 | + | 0.949850i | \(0.601235\pi\) | |||||||
\(314\) | −14.0847 | − | 4.99035i | −0.794848 | − | 0.281622i | ||||
\(315\) | −9.08722 | + | 18.0107i | −0.512007 | + | 1.01479i | ||||
\(316\) | 4.52784 | + | 1.73983i | 0.254711 | + | 0.0978732i | ||||
\(317\) | −5.85309 | + | 18.0140i | −0.328742 | + | 1.01177i | 0.640980 | + | 0.767557i | \(0.278528\pi\) |
−0.969723 | + | 0.244208i | \(0.921472\pi\) | |||||||
\(318\) | 22.2705 | − | 6.69009i | 1.24887 | − | 0.375161i | ||||
\(319\) | 20.2894 | + | 6.59243i | 1.13599 | + | 0.369105i | ||||
\(320\) | −0.0908976 | + | 17.8883i | −0.00508133 | + | 0.999987i | ||||
\(321\) | 4.43597 | + | 13.4683i | 0.247592 | + | 0.751728i | ||||
\(322\) | −2.78759 | − | 4.05744i | −0.155346 | − | 0.226112i | ||||
\(323\) | −1.21670 | + | 1.67464i | −0.0676990 | + | 0.0931796i | ||||
\(324\) | −14.9401 | + | 10.0396i | −0.830006 | + | 0.557754i | ||||
\(325\) | −8.50968 | − | 0.0692112i | −0.472032 | − | 0.00383915i | ||||
\(326\) | −5.77666 | − | 19.5138i | −0.319939 | − | 1.08077i | ||||
\(327\) | −5.88414 | + | 8.16757i | −0.325394 | + | 0.451668i | ||||
\(328\) | −27.1945 | − | 11.2805i | −1.50156 | − | 0.622861i | ||||
\(329\) | −32.9677 | + | 10.7119i | −1.81757 | + | 0.590564i | ||||
\(330\) | 4.90716 | − | 26.4440i | 0.270130 | − | 1.45569i | ||||
\(331\) | −13.6393 | − | 4.43167i | −0.749683 | − | 0.243587i | −0.0908381 | − | 0.995866i | \(-0.528955\pi\) |
−0.658845 | + | 0.752279i | \(0.728955\pi\) | |||||||
\(332\) | −0.667971 | − | 1.02935i | −0.0366597 | − | 0.0564928i | ||||
\(333\) | 10.0422 | + | 3.17401i | 0.550311 | + | 0.173935i | ||||
\(334\) | −9.34183 | + | 12.1702i | −0.511162 | + | 0.665926i | ||||
\(335\) | −0.204433 | − | 1.32561i | −0.0111694 | − | 0.0724257i | ||||
\(336\) | 10.4776 | + | 18.0087i | 0.571602 | + | 0.982456i | ||||
\(337\) | −12.8844 | − | 17.7338i | −0.701857 | − | 0.966023i | −0.999934 | − | 0.0114815i | \(-0.996345\pi\) |
0.298077 | − | 0.954542i | \(-0.403655\pi\) | |||||||
\(338\) | 11.3341 | + | 8.69997i | 0.616491 | + | 0.473216i | ||||
\(339\) | −12.6746 | + | 17.5932i | −0.688392 | + | 0.955533i | ||||
\(340\) | −11.7173 | + | 20.0901i | −0.635461 | + | 1.08954i | ||||
\(341\) | −15.3812 | − | 21.1704i | −0.832937 | − | 1.14644i | ||||
\(342\) | −0.0309363 | + | 1.68842i | −0.00167284 | + | 0.0912995i | ||||
\(343\) | −14.9051 | −0.804798 | ||||||||
\(344\) | 26.4551 | − | 16.1933i | 1.42637 | − | 0.873083i | ||||
\(345\) | −0.701061 | − | 4.42782i | −0.0377438 | − | 0.238386i | ||||
\(346\) | 29.8695 | − | 20.5213i | 1.60579 | − | 1.10323i | ||||
\(347\) | 0.270348 | − | 0.0878413i | 0.0145130 | − | 0.00471557i | −0.301751 | − | 0.953387i | \(-0.597571\pi\) |
0.316265 | + | 0.948671i | \(0.397571\pi\) | |||||||
\(348\) | −15.0321 | − | 0.732402i | −0.805808 | − | 0.0392609i | ||||
\(349\) | 9.93726 | 0.531930 | 0.265965 | − | 0.963983i | \(-0.414310\pi\) | ||||
0.265965 | + | 0.963983i | \(0.414310\pi\) | |||||||
\(350\) | 11.8985 | + | 17.6241i | 0.636001 | + | 0.942047i | ||||
\(351\) | −8.84317 | + | 0.106501i | −0.472013 | + | 0.00568462i | ||||
\(352\) | −20.1329 | − | 19.1378i | −1.07309 | − | 1.02005i | ||||
\(353\) | 0.0254850 | + | 0.0784348i | 0.00135643 | + | 0.00417466i | 0.951732 | − | 0.306929i | \(-0.0993014\pi\) |
−0.950376 | + | 0.311104i | \(0.899301\pi\) | |||||||
\(354\) | 0.522546 | + | 0.754080i | 0.0277730 | + | 0.0400789i | ||||
\(355\) | 14.4350 | + | 14.5528i | 0.766128 | + | 0.772385i | ||||
\(356\) | −7.75831 | + | 2.07602i | −0.411190 | + | 0.110029i | ||||
\(357\) | 0.108738 | + | 27.0879i | 0.00575505 | + | 1.43364i | ||||
\(358\) | 8.37547 | + | 0.220737i | 0.442657 | + | 0.0116663i | ||||
\(359\) | 19.1281 | − | 13.8973i | 1.00954 | − | 0.733474i | 0.0454277 | − | 0.998968i | \(-0.485535\pi\) |
0.964113 | + | 0.265494i | \(0.0855349\pi\) | |||||||
\(360\) | 1.55399 | + | 18.9099i | 0.0819025 | + | 0.996640i | ||||
\(361\) | −15.2432 | − | 11.0748i | −0.802271 | − | 0.582884i | ||||
\(362\) | 7.81130 | + | 5.99592i | 0.410553 | + | 0.315138i | ||||
\(363\) | 13.4228 | + | 18.3198i | 0.704514 | + | 0.961540i | ||||
\(364\) | −0.539205 | + | 10.2225i | −0.0282620 | + | 0.535803i | ||||
\(365\) | 3.91812 | − | 24.1033i | 0.205084 | − | 1.26162i | ||||
\(366\) | 11.9066 | − | 15.6411i | 0.622367 | − | 0.817575i | ||||
\(367\) | 1.36280 | − | 4.19427i | 0.0711377 | − | 0.218939i | −0.909167 | − | 0.416433i | \(-0.863280\pi\) |
0.980304 | + | 0.197493i | \(0.0632801\pi\) | |||||||
\(368\) | −4.22844 | − | 1.88605i | −0.220423 | − | 0.0983172i | ||||
\(369\) | −29.7753 | − | 9.41099i | −1.55004 | − | 0.489916i | ||||
\(370\) | 8.08511 | − | 7.60765i | 0.420325 | − | 0.395503i | ||||
\(371\) | −8.82207 | − | 27.1515i | −0.458019 | − | 1.40964i | ||||
\(372\) | 14.3891 | + | 11.5647i | 0.746040 | + | 0.599604i | ||||
\(373\) | 16.9613 | − | 23.3452i | 0.878220 | − | 1.20877i | −0.0986904 | − | 0.995118i | \(-0.531465\pi\) |
0.976911 | − | 0.213648i | \(-0.0685347\pi\) | |||||||
\(374\) | −10.2512 | − | 34.6289i | −0.530075 | − | 1.79062i | ||||
\(375\) | 2.87268 | + | 19.1507i | 0.148345 | + | 0.988936i | ||||
\(376\) | −21.1865 | + | 24.7807i | −1.09261 | + | 1.27797i | ||||
\(377\) | −5.98219 | − | 4.34632i | −0.308099 | − | 0.223847i | ||||
\(378\) | 12.7323 | + | 18.0623i | 0.654877 | + | 0.929024i | ||||
\(379\) | 18.1541 | − | 5.89862i | 0.932512 | − | 0.302992i | 0.196923 | − | 0.980419i | \(-0.436905\pi\) |
0.735590 | + | 0.677427i | \(0.236905\pi\) | |||||||
\(380\) | 1.53764 | + | 0.896808i | 0.0788790 | + | 0.0460053i | ||||
\(381\) | 13.2874 | + | 4.25846i | 0.680736 | + | 0.218167i | ||||
\(382\) | −8.54258 | − | 28.8572i | −0.437076 | − | 1.47646i | ||||
\(383\) | −7.10706 | − | 2.30922i | −0.363154 | − | 0.117996i | 0.121756 | − | 0.992560i | \(-0.461148\pi\) |
−0.484910 | + | 0.874564i | \(0.661148\pi\) | |||||||
\(384\) | 17.2476 | + | 9.30159i | 0.880164 | + | 0.474670i | ||||
\(385\) | −32.5920 | − | 5.29802i | −1.66104 | − | 0.270012i | ||||
\(386\) | 15.8423 | + | 5.61308i | 0.806353 | + | 0.285698i | ||||
\(387\) | 26.4599 | − | 19.5507i | 1.34503 | − | 0.993820i | ||||
\(388\) | 6.69693 | + | 2.57331i | 0.339985 | + | 0.130640i | ||||
\(389\) | −0.230063 | + | 0.316654i | −0.0116647 | + | 0.0160550i | −0.814809 | − | 0.579729i | \(-0.803158\pi\) |
0.803145 | + | 0.595784i | \(0.203158\pi\) | |||||||
\(390\) | −4.44998 | + | 8.19152i | −0.225333 | + | 0.414794i | ||||
\(391\) | −3.53823 | − | 4.86996i | −0.178936 | − | 0.246284i | ||||
\(392\) | 4.93006 | − | 3.01770i | 0.249005 | − | 0.152417i | ||||
\(393\) | −0.0277112 | − | 6.90316i | −0.00139784 | − | 0.348218i | ||||
\(394\) | −17.8000 | − | 0.469121i | −0.896749 | − | 0.0236340i | ||||
\(395\) | 3.85030 | − | 3.81911i | 0.193730 | − | 0.192160i | ||||
\(396\) | −23.0386 | − | 18.3647i | −1.15773 | − | 0.922862i | ||||
\(397\) | 35.6241 | − | 11.5750i | 1.78792 | − | 0.580932i | 0.788506 | − | 0.615027i | \(-0.210855\pi\) |
0.999419 | + | 0.0340956i | \(0.0108551\pi\) | |||||||
\(398\) | −7.54152 | − | 2.67203i | −0.378022 | − | 0.133937i | ||||
\(399\) | 2.07323 | − | 0.00832250i | 0.103791 | − | 0.000416646i | ||||
\(400\) | 18.1985 | + | 8.29537i | 0.909927 | + | 0.414769i | ||||
\(401\) | 29.1823i | 1.45729i | 0.684890 | + | 0.728647i | \(0.259850\pi\) | ||||
−0.684890 | + | 0.728647i | \(0.740150\pi\) | |||||||
\(402\) | −1.38690 | − | 0.485132i | −0.0691721 | − | 0.0241962i | ||||
\(403\) | 2.80280 | + | 8.62613i | 0.139617 | + | 0.429698i | ||||
\(404\) | −13.3960 | + | 16.5312i | −0.666475 | + | 0.822460i | ||||
\(405\) | 3.38628 | + | 19.8377i | 0.168266 | + | 0.985742i | ||||
\(406\) | −0.486796 | + | 18.4706i | −0.0241593 | + | 0.916681i | ||||
\(407\) | 17.2387i | 0.854488i | ||||||||
\(408\) | 13.3879 | + | 21.6761i | 0.662801 | + | 1.07313i | ||||
\(409\) | −20.6984 | + | 15.0382i | −1.02347 | + | 0.743593i | −0.966991 | − | 0.254810i | \(-0.917987\pi\) |
−0.0564775 | + | 0.998404i | \(0.517987\pi\) | |||||||
\(410\) | −23.9724 | + | 22.5568i | −1.18391 | + | 1.11400i | ||||
\(411\) | 6.82073 | − | 9.46762i | 0.336442 | − | 0.467003i | ||||
\(412\) | 2.81067 | − | 7.31464i | 0.138472 | − | 0.360366i | ||||
\(413\) | 0.911235 | − | 0.662051i | 0.0448389 | − | 0.0325774i | ||||
\(414\) | −4.64192 | − | 1.60284i | −0.228138 | − | 0.0787755i | ||||
\(415\) | −1.35590 | + | 0.209104i | −0.0665583 | + | 0.0102645i | ||||
\(416\) | 4.58689 | + | 8.46506i | 0.224891 | + | 0.415034i | ||||
\(417\) | 6.15772 | − | 19.2136i | 0.301545 | − | 0.940895i | ||||
\(418\) | −2.65039 | + | 0.784593i | −0.129635 | + | 0.0383757i | ||||
\(419\) | 7.39741 | − | 22.7669i | 0.361387 | − | 1.11223i | −0.590826 | − | 0.806799i | \(-0.701198\pi\) |
0.952213 | − | 0.305435i | \(-0.0988020\pi\) | |||||||
\(420\) | 23.1675 | − | 2.42586i | 1.13046 | − | 0.118370i | ||||
\(421\) | −1.91960 | − | 5.90793i | −0.0935557 | − | 0.287935i | 0.893319 | − | 0.449423i | \(-0.148371\pi\) |
−0.986875 | + | 0.161489i | \(0.948371\pi\) | |||||||
\(422\) | 10.2945 | + | 14.9841i | 0.501130 | + | 0.729414i | ||||
\(423\) | −20.1007 | + | 28.1386i | −0.977329 | + | 1.36814i | ||||
\(424\) | −20.4088 | − | 17.4487i | −0.991141 | − | 0.847385i | ||||
\(425\) | 15.1123 | + | 21.1601i | 0.733056 | + | 1.02642i | ||||
\(426\) | 21.5047 | − | 6.46003i | 1.04191 | − | 0.312989i | ||||
\(427\) | −19.5245 | − | 14.1854i | −0.944855 | − | 0.686477i | ||||
\(428\) | 10.3086 | − | 12.7213i | 0.498285 | − | 0.614906i | ||||
\(429\) | −4.52843 | − | 13.7490i | −0.218635 | − | 0.663810i | ||||
\(430\) | −4.38082 | − | 34.4010i | −0.211262 | − | 1.65896i | ||||
\(431\) | 5.29439 | − | 16.2945i | 0.255022 | − | 0.784876i | −0.738804 | − | 0.673921i | \(-0.764609\pi\) |
0.993825 | − | 0.110955i | \(-0.0353911\pi\) | |||||||
\(432\) | 19.0825 | + | 8.23750i | 0.918109 | + | 0.396327i | ||||
\(433\) | −35.1128 | − | 11.4089i | −1.68742 | − | 0.548274i | −0.701088 | − | 0.713074i | \(-0.747302\pi\) |
−0.986327 | + | 0.164800i | \(0.947302\pi\) | |||||||
\(434\) | 13.8001 | − | 17.9783i | 0.662426 | − | 0.862988i | ||||
\(435\) | −7.63980 | + | 14.9920i | −0.366301 | + | 0.718812i | ||||
\(436\) | 11.6075 | + | 0.612263i | 0.555900 | + | 0.0293221i | ||||
\(437\) | −0.372732 | + | 0.270805i | −0.0178302 | + | 0.0129544i | ||||
\(438\) | −21.2850 | − | 16.2029i | −1.01703 | − | 0.774203i | ||||
\(439\) | 7.31138 | − | 10.0632i | 0.348953 | − | 0.480293i | −0.598077 | − | 0.801439i | \(-0.704068\pi\) |
0.947030 | + | 0.321146i | \(0.104068\pi\) | |||||||
\(440\) | −28.7462 | + | 11.7533i | −1.37042 | + | 0.560318i | ||||
\(441\) | 4.93095 | − | 3.64338i | 0.234807 | − | 0.173494i | ||||
\(442\) | −0.329788 | + | 12.5132i | −0.0156864 | + | 0.595192i | ||||
\(443\) | 17.8513i | 0.848143i | 0.905629 | + | 0.424071i | \(0.139399\pi\) | ||||
−0.905629 | + | 0.424071i | \(0.860601\pi\) | |||||||
\(444\) | −3.19071 | − | 11.7352i | −0.151424 | − | 0.556926i | ||||
\(445\) | −1.44071 | + | 8.86289i | −0.0682964 | + | 0.420141i | ||||
\(446\) | −4.02770 | + | 2.76716i | −0.190717 | + | 0.131029i | ||||
\(447\) | 4.35778 | + | 13.2309i | 0.206116 | + | 0.625801i | ||||
\(448\) | 10.9439 | − | 21.4249i | 0.517051 | − | 1.01223i | ||||
\(449\) | − | 26.5322i | − | 1.25213i | −0.779770 | − | 0.626066i | \(-0.784664\pi\) | ||
0.779770 | − | 0.626066i | \(-0.215336\pi\) | |||||||
\(450\) | 19.9945 | + | 7.08659i | 0.942550 | + | 0.334065i | ||||
\(451\) | − | 51.1128i | − | 2.40681i | ||||||
\(452\) | 25.0030 | + | 1.31884i | 1.17604 | + | 0.0620328i | ||||
\(453\) | 3.02542 | + | 9.18564i | 0.142146 | + | 0.431579i | ||||
\(454\) | 0.478282 | + | 0.696157i | 0.0224469 | + | 0.0326723i | ||||
\(455\) | 10.1763 | + | 5.23733i | 0.477073 | + | 0.245530i | ||||
\(456\) | 1.65902 | − | 1.02467i | 0.0776909 | − | 0.0479846i | ||||
\(457\) | 33.2379i | 1.55480i | 0.629005 | + | 0.777401i | \(0.283463\pi\) | ||||
−0.629005 | + | 0.777401i | \(0.716537\pi\) | |||||||
\(458\) | −13.9531 | − | 0.367736i | −0.651985 | − | 0.0171832i | ||||
\(459\) | 16.1457 | + | 21.6690i | 0.753615 | + | 1.01142i | ||||
\(460\) | −3.86211 | + | 3.44677i | −0.180072 | + | 0.160707i | ||||
\(461\) | −12.4042 | + | 17.0729i | −0.577719 | + | 0.795162i | −0.993443 | − | 0.114329i | \(-0.963528\pi\) |
0.415724 | + | 0.909491i | \(0.363528\pi\) | |||||||
\(462\) | −21.9093 | + | 28.7812i | −1.01931 | + | 1.33902i | ||||
\(463\) | 10.6594 | − | 7.74450i | 0.495384 | − | 0.359918i | −0.311867 | − | 0.950126i | \(-0.600954\pi\) |
0.807251 | + | 0.590208i | \(0.200954\pi\) | |||||||
\(464\) | 8.67892 | + | 15.0559i | 0.402909 | + | 0.698950i | ||||
\(465\) | 18.3904 | − | 9.36915i | 0.852833 | − | 0.434484i | ||||
\(466\) | 16.1484 | + | 12.3954i | 0.748058 | + | 0.574206i | ||||
\(467\) | 0.805747 | + | 0.261803i | 0.0372855 | + | 0.0121148i | 0.327600 | − | 0.944816i | \(-0.393760\pi\) |
−0.290315 | + | 0.956931i | \(0.593760\pi\) | |||||||
\(468\) | 5.62752 | + | 8.52144i | 0.260132 | + | 0.393904i | ||||
\(469\) | −0.557427 | + | 1.71558i | −0.0257396 | + | 0.0792183i | ||||
\(470\) | 15.5531 | + | 32.9664i | 0.717412 | + | 1.52063i | ||||
\(471\) | 5.72513 | + | 17.3824i | 0.263800 | + | 0.800939i | ||||
\(472\) | 0.405898 | − | 0.978520i | 0.0186830 | − | 0.0450400i | ||||
\(473\) | 43.5652 | + | 31.6520i | 2.00313 | + | 1.45536i | ||||
\(474\) | −1.70915 | − | 5.68958i | −0.0785041 | − | 0.261331i | ||||
\(475\) | 1.61953 | − | 1.15665i | 0.0743093 | − | 0.0530709i | ||||
\(476\) | 26.2383 | − | 17.0267i | 1.20263 | − | 0.780418i | ||||
\(477\) | −23.1743 | − | 16.5545i | −1.06108 | − | 0.757979i | ||||
\(478\) | 21.3353 | − | 14.6581i | 0.975856 | − | 0.670444i | ||||
\(479\) | 6.52146 | + | 20.0710i | 0.297973 | + | 0.917068i | 0.982206 | + | 0.187804i | \(0.0601371\pi\) |
−0.684233 | + | 0.729263i | \(0.739863\pi\) | |||||||
\(480\) | 17.3935 | − | 13.3217i | 0.793900 | − | 0.608049i | ||||
\(481\) | 1.84640 | − | 5.68263i | 0.0841885 | − | 0.259105i | ||||
\(482\) | 3.09366 | + | 10.4505i | 0.140912 | + | 0.476008i | ||||
\(483\) | −1.84007 | + | 5.74146i | −0.0837259 | + | 0.261245i | ||||
\(484\) | 9.40624 | − | 24.4793i | 0.427556 | − | 1.11270i | ||||
\(485\) | 5.69481 | − | 5.64868i | 0.258588 | − | 0.256494i | ||||
\(486\) | 20.9232 | + | 6.94389i | 0.949098 | + | 0.314981i | ||||
\(487\) | 7.83412 | − | 5.69182i | 0.354998 | − | 0.257921i | −0.395965 | − | 0.918266i | \(-0.629590\pi\) |
0.750963 | + | 0.660345i | \(0.229590\pi\) | |||||||
\(488\) | −22.6275 | − | 1.79237i | −1.02430 | − | 0.0811370i | ||||
\(489\) | −14.5693 | + | 20.2231i | −0.658845 | + | 0.914519i | ||||
\(490\) | −0.816390 | − | 6.41081i | −0.0368807 | − | 0.289611i | ||||
\(491\) | −13.8232 | + | 10.0432i | −0.623833 | + | 0.453241i | −0.854258 | − | 0.519849i | \(-0.825988\pi\) |
0.230425 | + | 0.973090i | \(0.425988\pi\) | |||||||
\(492\) | 9.46048 | + | 34.7949i | 0.426511 | + | 1.56867i | ||||
\(493\) | 22.5939i | 1.01758i | ||||||||
\(494\) | 0.957722 | + | 0.0252409i | 0.0430900 | + | 0.00113564i | ||||
\(495\) | −29.2903 | + | 15.0706i | −1.31650 | + | 0.677375i | ||||
\(496\) | 2.24251 | − | 21.1980i | 0.100691 | − | 0.951820i | ||||
\(497\) | −8.51870 | − | 26.2179i | −0.382116 | − | 1.17603i | ||||
\(498\) | −0.496217 | + | 1.41859i | −0.0222360 | + | 0.0635683i | ||||
\(499\) | 24.6712i | 1.10443i | 0.833701 | + | 0.552217i | \(0.186218\pi\) | ||||
−0.833701 | + | 0.552217i | \(0.813782\pi\) | |||||||
\(500\) | 16.8035 | − | 14.7527i | 0.751476 | − | 0.659761i | ||||
\(501\) | 18.7902 | − | 0.0754290i | 0.839484 | − | 0.00336992i | ||||
\(502\) | −13.3751 | + | 37.7498i | −0.596960 | + | 1.68486i | ||||
\(503\) | 12.9329 | − | 4.20217i | 0.576652 | − | 0.187365i | −0.00614836 | − | 0.999981i | \(-0.501957\pi\) |
0.582800 | + | 0.812616i | \(0.301957\pi\) | |||||||
\(504\) | 9.58754 | − | 23.6479i | 0.427063 | − | 1.05336i | ||||
\(505\) | 10.7137 | + | 21.2399i | 0.476754 | + | 0.945164i | ||||
\(506\) | 0.211772 | − | 8.03532i | 0.00941442 | − | 0.357214i | ||||
\(507\) | −0.0702464 | − | 17.4992i | −0.00311975 | − | 0.777165i | ||||
\(508\) | −4.16475 | − | 15.5641i | −0.184781 | − | 0.690547i | ||||
\(509\) | 1.63205 | + | 2.24632i | 0.0723392 | + | 0.0995663i | 0.843653 | − | 0.536888i | \(-0.180400\pi\) |
−0.771314 | + | 0.636455i | \(0.780400\pi\) | |||||||
\(510\) | 28.2415 | − | 3.71171i | 1.25056 | − | 0.164357i | ||||
\(511\) | −19.3039 | + | 26.5695i | −0.853954 | + | 1.17537i | ||||
\(512\) | −1.74099 | − | 22.5603i | −0.0769415 | − | 0.997036i | ||||
\(513\) | 1.65848 | − | 1.23574i | 0.0732235 | − | 0.0545592i | ||||
\(514\) | −1.60320 | + | 4.52485i | −0.0707139 | + | 0.199583i | ||||
\(515\) | −6.16970 | − | 6.22009i | −0.271870 | − | 0.274090i | ||||
\(516\) | −35.5154 | − | 13.4835i | −1.56348 | − | 0.593577i | ||||
\(517\) | −53.8314 | − | 17.4909i | −2.36750 | − | 0.769248i | ||||
\(518\) | −14.3163 | + | 4.23805i | −0.629022 | + | 0.186209i | ||||
\(519\) | −42.2667 | − | 13.5459i | −1.85530 | − | 0.594601i | ||||
\(520\) | 10.7349 | − | 0.795468i | 0.470757 | − | 0.0348836i | ||||
\(521\) | 15.5872 | − | 5.06459i | 0.682888 | − | 0.221884i | 0.0530285 | − | 0.998593i | \(-0.483113\pi\) |
0.629859 | + | 0.776709i | \(0.283113\pi\) | |||||||
\(522\) | 10.5593 | + | 15.1081i | 0.462167 | + | 0.661263i | ||||
\(523\) | 32.1619 | + | 23.3670i | 1.40634 | + | 1.02177i | 0.993842 | + | 0.110808i | \(0.0353438\pi\) |
0.412498 | + | 0.910958i | \(0.364656\pi\) | |||||||
\(524\) | −6.68663 | + | 4.33914i | −0.292107 | + | 0.189556i | ||||
\(525\) | 8.14989 | − | 24.7357i | 0.355690 | − | 1.07955i | ||||
\(526\) | −16.2239 | + | 4.80275i | −0.707395 | + | 0.209410i | ||||
\(527\) | 16.2899 | − | 22.4211i | 0.709598 | − | 0.976678i | ||||
\(528\) | −3.44315 | + | 33.8457i | −0.149844 | + | 1.47294i | ||||
\(529\) | 6.69337 | + | 20.6001i | 0.291016 | + | 0.895655i | ||||
\(530\) | −27.1505 | + | 12.8092i | −1.17934 | + | 0.556397i | ||||
\(531\) | 0.338629 | − | 1.07139i | 0.0146953 | − | 0.0464942i | ||||
\(532\) | −1.30317 | − | 2.00820i | −0.0564997 | − | 0.0870664i | ||||
\(533\) | −5.47459 | + | 16.8491i | −0.237131 | + | 0.729813i | ||||
\(534\) | 7.82659 | + | 5.95788i | 0.338690 | + | 0.257823i | ||||
\(535\) | −8.24451 | − | 16.3447i | −0.356441 | − | 0.706645i | ||||
\(536\) | 0.395226 | + | 1.64992i | 0.0170712 | + | 0.0712658i | ||||
\(537\) | −6.06476 | − | 8.27735i | −0.261714 | − | 0.357194i | ||||
\(538\) | −19.2448 | + | 25.0716i | −0.829703 | + | 1.08091i | ||||
\(539\) | 8.11861 | + | 5.89852i | 0.349693 | + | 0.254067i | ||||
\(540\) | 17.1499 | − | 15.6806i | 0.738012 | − | 0.674787i | ||||
\(541\) | −30.3629 | + | 22.0600i | −1.30540 | + | 0.948432i | −0.999993 | − | 0.00378834i | \(-0.998794\pi\) |
−0.305412 | + | 0.952220i | \(0.598794\pi\) | |||||||
\(542\) | 0.136526 | − | 5.18024i | 0.00586430 | − | 0.222510i | ||||
\(543\) | −0.0484130 | − | 12.0602i | −0.00207760 | − | 0.517553i | ||||
\(544\) | 12.6875 | − | 26.5421i | 0.543971 | − | 1.13798i | ||||
\(545\) | 5.94695 | − | 11.5551i | 0.254739 | − | 0.494967i | ||||
\(546\) | 10.3050 | − | 7.14090i | 0.441011 | − | 0.305602i | ||||
\(547\) | 3.40666 | + | 10.4846i | 0.145658 | + | 0.448291i | 0.997095 | − | 0.0761668i | \(-0.0242682\pi\) |
−0.851437 | + | 0.524458i | \(0.824268\pi\) | |||||||
\(548\) | −13.4551 | − | 0.709718i | −0.574775 | − | 0.0303176i | ||||
\(549\) | −24.0745 | + | 0.193286i | −1.02747 | + | 0.00824926i | ||||
\(550\) | −1.19705 | + | 34.7012i | −0.0510422 | + | 1.47967i | ||||
\(551\) | 1.72927 | 0.0736694 | ||||||||
\(552\) | 1.34310 | + | 5.50921i | 0.0571660 | + | 0.234488i | ||||
\(553\) | −6.93656 | + | 2.25382i | −0.294972 | + | 0.0958424i | ||||
\(554\) | 20.5738 | + | 29.9459i | 0.874097 | + | 1.27228i | ||||
\(555\) | −13.4291 | − | 2.12768i | −0.570034 | − | 0.0903150i | ||||
\(556\) | −22.5057 | + | 6.02223i | −0.954455 | + | 0.255399i | ||||
\(557\) | −13.5504 | −0.574151 | −0.287075 | − | 0.957908i | \(-0.592683\pi\) | ||||
−0.287075 | + | 0.957908i | \(0.592683\pi\) | |||||||
\(558\) | 0.414194 | − | 22.6056i | 0.0175342 | − | 0.956971i | ||||
\(559\) | −10.9709 | − | 15.1001i | −0.464018 | − | 0.638666i | ||||
\(560\) | −16.8280 | − | 20.9836i | −0.711113 | − | 0.886718i | ||||
\(561\) | −25.8544 | + | 35.8876i | −1.09157 | + | 1.51518i | ||||
\(562\) | 5.07459 | − | 6.61102i | 0.214059 | − | 0.278869i | ||||
\(563\) | −17.9779 | − | 24.7444i | −0.757676 | − | 1.04285i | −0.997404 | − | 0.0720118i | \(-0.977058\pi\) |
0.239727 | − | 0.970840i | \(-0.422942\pi\) | |||||||
\(564\) | 39.8829 | + | 1.94319i | 1.67937 | + | 0.0818231i | ||||
\(565\) | 12.8099 | − | 24.8902i | 0.538918 | − | 1.04714i | ||||
\(566\) | −30.3020 | − | 23.2597i | −1.27369 | − | 0.977678i | ||||
\(567\) | 7.94929 | − | 25.8717i | 0.333839 | − | 1.08651i | ||||
\(568\) | −19.7070 | − | 16.8487i | −0.826889 | − | 0.706956i | ||||
\(569\) | −12.2734 | − | 3.98786i | −0.514527 | − | 0.167180i | 0.0402330 | − | 0.999190i | \(-0.487190\pi\) |
−0.554760 | + | 0.832010i | \(0.687190\pi\) | |||||||
\(570\) | −0.284083 | − | 2.16152i | −0.0118989 | − | 0.0905362i | ||||
\(571\) | −28.2274 | + | 9.17165i | −1.18128 | + | 0.383822i | −0.832843 | − | 0.553510i | \(-0.813288\pi\) |
−0.348439 | + | 0.937332i | \(0.613288\pi\) | |||||||
\(572\) | −10.5235 | + | 12.9864i | −0.440008 | + | 0.542989i | ||||
\(573\) | −21.5452 | + | 29.9061i | −0.900062 | + | 1.24935i | ||||
\(574\) | 42.4480 | − | 12.5659i | 1.77175 | − | 0.524489i | ||||
\(575\) | 1.74361 | + | 5.51860i | 0.0727136 | + | 0.230142i | ||||
\(576\) | −3.92059 | − | 23.6776i | −0.163358 | − | 0.986567i | ||||
\(577\) | −6.13811 | + | 8.44839i | −0.255533 | + | 0.351711i | −0.917439 | − | 0.397876i | \(-0.869748\pi\) |
0.661906 | + | 0.749586i | \(0.269748\pi\) | |||||||
\(578\) | 11.7092 | − | 8.04458i | 0.487037 | − | 0.334610i | ||||
\(579\) | −6.43955 | − | 19.5515i | −0.267619 | − | 0.812533i | ||||
\(580\) | 19.3318 | − | 1.94580i | 0.802708 | − | 0.0807948i | ||||
\(581\) | 1.75478 | + | 0.570164i | 0.0728007 | + | 0.0236544i | ||||
\(582\) | −2.52794 | − | 8.41521i | −0.104786 | − | 0.348822i | ||||
\(583\) | 14.4051 | − | 44.3344i | 0.596599 | − | 1.83614i | ||||
\(584\) | −2.43912 | + | 30.7922i | −0.100932 | + | 1.27419i | ||||
\(585\) | 11.2696 | − | 1.83072i | 0.465940 | − | 0.0756911i | ||||
\(586\) | −9.01681 | + | 25.4490i | −0.372481 | + | 1.05129i | ||||
\(587\) | 21.2796 | + | 29.2889i | 0.878304 | + | 1.20888i | 0.976888 | + | 0.213754i | \(0.0685689\pi\) |
−0.0985832 | + | 0.995129i | \(0.531431\pi\) | |||||||
\(588\) | −6.61847 | − | 2.51272i | −0.272941 | − | 0.103623i | ||||
\(589\) | −1.71604 | − | 1.24678i | −0.0707083 | − | 0.0513726i | ||||
\(590\) | −0.811645 | − | 0.862584i | −0.0334149 | − | 0.0355120i | ||||
\(591\) | 12.8891 | + | 17.5914i | 0.530188 | + | 0.723615i | ||||
\(592\) | −9.40334 | + | 10.4293i | −0.386475 | + | 0.428640i | ||||
\(593\) | −1.00854 | −0.0414158 | −0.0207079 | − | 0.999786i | \(-0.506592\pi\) | ||||
−0.0207079 | + | 0.999786i | \(0.506592\pi\) | |||||||
\(594\) | −0.516212 | + | 36.0803i | −0.0211804 | + | 1.48039i | ||||
\(595\) | −5.33011 | − | 34.5620i | −0.218513 | − | 1.41691i | ||||
\(596\) | 10.1269 | − | 12.4970i | 0.414814 | − | 0.511898i | ||||
\(597\) | 3.06546 | + | 9.30722i | 0.125461 | + | 0.380919i | ||||
\(598\) | −0.930456 | + | 2.62612i | −0.0380492 | + | 0.107390i | ||||
\(599\) | −15.0708 | −0.615778 | −0.307889 | − | 0.951422i | \(-0.599622\pi\) | ||||
−0.307889 | + | 0.951422i | \(0.599622\pi\) | |||||||
\(600\) | −5.60797 | − | 23.8443i | −0.228944 | − | 0.973439i | ||||
\(601\) | −31.2130 | −1.27321 | −0.636603 | − | 0.771191i | \(-0.719661\pi\) | ||||
−0.636603 | + | 0.771191i | \(0.719661\pi\) | |||||||
\(602\) | −15.5759 | + | 43.9614i | −0.634827 | + | 1.79173i | ||||
\(603\) | 0.569803 | + | 1.70692i | 0.0232042 | + | 0.0695111i | ||||
\(604\) | 7.03066 | − | 8.67614i | 0.286074 | − | 0.353027i | ||||
\(605\) | −20.6477 | − | 20.8163i | −0.839447 | − | 0.846302i | ||||
\(606\) | 26.0531 | + | 0.581988i | 1.05833 | + | 0.0236416i | ||||
\(607\) | −19.4194 | −0.788208 | −0.394104 | − | 0.919066i | \(-0.628945\pi\) | ||||
−0.394104 | + | 0.919066i | \(0.628945\pi\) | |||||||
\(608\) | −2.03145 | − | 0.971061i | −0.0823861 | − | 0.0393817i | ||||
\(609\) | 18.2542 | − | 13.3748i | 0.739698 | − | 0.541972i | ||||
\(610\) | −12.2035 | + | 22.2507i | −0.494104 | + | 0.900906i | ||||
\(611\) | 15.8718 | + | 11.5315i | 0.642104 | + | 0.466516i | ||||
\(612\) | 10.9578 | − | 29.2157i | 0.442945 | − | 1.18098i | ||||
\(613\) | 5.20312 | + | 7.16149i | 0.210152 | + | 0.289250i | 0.901061 | − | 0.433692i | \(-0.142789\pi\) |
−0.690909 | + | 0.722942i | \(0.742789\pi\) | |||||||
\(614\) | 12.1000 | − | 34.1510i | 0.488316 | − | 1.37822i | ||||
\(615\) | 39.8175 | + | 6.30860i | 1.60560 | + | 0.254387i | ||||
\(616\) | 41.6367 | + | 3.29814i | 1.67759 | + | 0.132886i | ||||
\(617\) | 10.4713 | − | 32.2272i | 0.421557 | − | 1.29742i | −0.484695 | − | 0.874683i | \(-0.661070\pi\) |
0.906253 | − | 0.422737i | \(-0.138930\pi\) | |||||||
\(618\) | −9.19141 | + | 2.76111i | −0.369733 | + | 0.111068i | ||||
\(619\) | 32.6143 | + | 10.5970i | 1.31088 | + | 0.425931i | 0.879354 | − | 0.476169i | \(-0.157975\pi\) |
0.431527 | + | 0.902100i | \(0.357975\pi\) | |||||||
\(620\) | −20.5868 | − | 12.0070i | −0.826784 | − | 0.482212i | ||||
\(621\) | 1.92735 | + | 5.69737i | 0.0773418 | + | 0.228628i | ||||
\(622\) | −11.7993 | + | 8.10647i | −0.473107 | + | 0.325040i | ||||
\(623\) | 7.09814 | − | 9.76975i | 0.284381 | − | 0.391417i | ||||
\(624\) | 4.76015 | − | 10.7882i | 0.190559 | − | 0.431875i | ||||
\(625\) | −7.33767 | − | 23.8989i | −0.293507 | − | 0.955957i | ||||
\(626\) | −28.0521 | + | 8.30425i | −1.12119 | + | 0.331905i | ||||
\(627\) | 2.74673 | + | 1.97882i | 0.109694 | + | 0.0790263i | ||||
\(628\) | 13.3044 | − | 16.4182i | 0.530905 | − | 0.655159i | ||||
\(629\) | −17.3635 | + | 5.64176i | −0.692330 | + | 0.224952i | ||||
\(630\) | −19.7167 | − | 20.6199i | −0.785533 | − | 0.821516i | ||||
\(631\) | 17.5658 | + | 5.70746i | 0.699282 | + | 0.227211i | 0.637018 | − | 0.770849i | \(-0.280168\pi\) |
0.0622644 | + | 0.998060i | \(0.480168\pi\) | |||||||
\(632\) | −4.45772 | + | 5.21396i | −0.177319 | + | 0.207400i | ||||
\(633\) | 6.79534 | − | 21.2032i | 0.270091 | − | 0.842750i | ||||
\(634\) | −21.2485 | − | 16.3103i | −0.843886 | − | 0.647763i | ||||
\(635\) | −17.7801 | − | 2.89025i | −0.705580 | − | 0.114696i | ||||
\(636\) | −1.60037 | + | 32.8467i | −0.0634588 | + | 1.30246i | ||||
\(637\) | −2.04448 | − | 2.81398i | −0.0810051 | − | 0.111494i | ||||
\(638\) | −18.3705 | + | 23.9325i | −0.727295 | + | 0.947498i | ||||
\(639\) | −22.3774 | − | 15.9852i | −0.885237 | − | 0.632366i | ||||
\(640\) | −23.8025 | − | 8.56981i | −0.940876 | − | 0.338752i | ||||
\(641\) | 18.1246 | + | 24.9464i | 0.715879 | + | 0.985323i | 0.999651 | + | 0.0264310i | \(0.00841422\pi\) |
−0.283772 | + | 0.958892i | \(0.591586\pi\) | |||||||
\(642\) | −20.0486 | − | 0.447856i | −0.791255 | − | 0.0176755i | ||||
\(643\) | −5.59711 | −0.220728 | −0.110364 | − | 0.993891i | \(-0.535202\pi\) | ||||
−0.110364 | + | 0.993891i | \(0.535202\pi\) | |||||||
\(644\) | 6.72521 | − | 1.79958i | 0.265010 | − | 0.0709132i | ||||
\(645\) | −30.0343 | + | 30.0312i | −1.18260 | + | 1.18248i | ||||
\(646\) | −1.65768 | − | 2.41281i | −0.0652205 | − | 0.0949309i | ||||
\(647\) | 4.41127 | − | 1.43331i | 0.173425 | − | 0.0563492i | −0.221017 | − | 0.975270i | \(-0.570938\pi\) |
0.394442 | + | 0.918921i | \(0.370938\pi\) | |||||||
\(648\) | −6.32671 | − | 24.6571i | −0.248537 | − | 0.968623i | ||||
\(649\) | 1.83916 | 0.0721932 | ||||||||
\(650\) | 4.11138 | − | 11.3109i | 0.161261 | − | 0.443648i | ||||
\(651\) | −27.7576 | + | 0.111427i | −1.08790 | + | 0.00436715i | ||||
\(652\) | 28.7405 | + | 1.51598i | 1.12557 | + | 0.0593702i | ||||
\(653\) | −1.39770 | − | 4.30168i | −0.0546962 | − | 0.168338i | 0.919977 | − | 0.391973i | \(-0.128207\pi\) |
−0.974673 | + | 0.223636i | \(0.928207\pi\) | |||||||
\(654\) | −8.10843 | − | 11.7012i | −0.317065 | − | 0.457553i | ||||
\(655\) | 1.35834 | + | 8.80789i | 0.0530747 | + | 0.344153i | ||||
\(656\) | 27.8810 | − | 30.9229i | 1.08857 | − | 1.20734i | ||||
\(657\) | 0.263030 | + | 32.7613i | 0.0102618 | + | 1.27814i | ||||
\(658\) | 1.29156 | − | 49.0057i | 0.0503501 | − | 1.91044i | ||||
\(659\) | −25.9972 | + | 18.8881i | −1.01271 | + | 0.735775i | −0.964775 | − | 0.263076i | \(-0.915263\pi\) |
−0.0479319 | + | 0.998851i | \(0.515263\pi\) | |||||||
\(660\) | 32.9326 | + | 19.0308i | 1.28190 | + | 0.740773i | ||||
\(661\) | 0.111125 | + | 0.0807368i | 0.00432225 | + | 0.00314030i | 0.589944 | − | 0.807444i | \(-0.299150\pi\) |
−0.585622 | + | 0.810584i | \(0.699150\pi\) | |||||||
\(662\) | 12.3493 | − | 16.0883i | 0.479970 | − | 0.625290i | ||||
\(663\) | 12.3666 | − | 9.06093i | 0.480279 | − | 0.351897i | ||||
\(664\) | 1.68762 | − | 0.404256i | 0.0654924 | − | 0.0156882i | ||||
\(665\) | −2.64527 | + | 0.407950i | −0.102579 | + | 0.0158196i | ||||
\(666\) | −8.97396 | + | 11.8874i | −0.347734 | + | 0.460626i | ||||
\(667\) | −1.55399 | + | 4.78269i | −0.0601708 | + | 0.185187i | ||||
\(668\) | −11.8110 | − | 18.2008i | −0.456981 | − | 0.704211i | ||||
\(669\) | 5.69938 | + | 1.82658i | 0.220351 | + | 0.0706196i | ||||
\(670\) | 1.86361 | + | 0.353571i | 0.0719975 | + | 0.0136596i | ||||
\(671\) | −12.1773 | − | 37.4778i | −0.470098 | − | 1.44681i | ||||
\(672\) | −28.9545 | + | 5.46135i | −1.11694 | + | 0.210676i | ||||
\(673\) | 10.6134 | − | 14.6081i | 0.409116 | − | 0.563099i | −0.553887 | − | 0.832592i | \(-0.686856\pi\) |
0.963002 | + | 0.269493i | \(0.0868560\pi\) | |||||||
\(674\) | 29.7248 | − | 8.79941i | 1.14496 | − | 0.338941i | ||||
\(675\) | −8.12504 | − | 24.6776i | −0.312733 | − | 0.949841i | ||||
\(676\) | −16.9503 | + | 10.9995i | −0.651934 | + | 0.423057i | ||||
\(677\) | 2.10285 | + | 1.52781i | 0.0808192 | + | 0.0587186i | 0.627461 | − | 0.778648i | \(-0.284094\pi\) |
−0.546642 | + | 0.837366i | \(0.684094\pi\) | |||||||
\(678\) | −17.4658 | − | 25.2048i | −0.670772 | − | 0.967984i | ||||
\(679\) | −10.2596 | + | 3.33353i | −0.393726 | + | 0.127929i | ||||
\(680\) | −21.2464 | − | 25.1079i | −0.814761 | − | 0.962845i | ||||
\(681\) | 0.315710 | − | 0.985093i | 0.0120980 | − | 0.0377489i | ||||
\(682\) | 35.4849 | − | 10.5046i | 1.35879 | − | 0.402242i | ||||
\(683\) | 2.85334 | + | 0.927107i | 0.109180 | + | 0.0354748i | 0.363098 | − | 0.931751i | \(-0.381719\pi\) |
−0.253917 | + | 0.967226i | \(0.581719\pi\) | |||||||
\(684\) | −2.23608 | − | 0.838680i | −0.0854988 | − | 0.0320677i | ||||
\(685\) | −6.89353 | + | 13.3944i | −0.263388 | + | 0.511773i | ||||
\(686\) | 7.03966 | − | 19.8687i | 0.268775 | − | 0.758591i | ||||
\(687\) | 10.1036 | + | 13.7896i | 0.385475 | + | 0.526107i | ||||
\(688\) | 9.09115 | + | 42.9132i | 0.346597 | + | 1.63605i | ||||
\(689\) | −9.49713 | + | 13.0717i | −0.361812 | + | 0.497991i | ||||
\(690\) | 6.23347 | + | 1.15673i | 0.237304 | + | 0.0440361i | ||||
\(691\) | −15.2850 | − | 21.0380i | −0.581468 | − | 0.800322i | 0.412388 | − | 0.911008i | \(-0.364695\pi\) |
−0.993855 | + | 0.110687i | \(0.964695\pi\) | |||||||
\(692\) | 13.2479 | + | 49.5087i | 0.503609 | + | 1.88204i | ||||
\(693\) | 44.2993 | − | 0.355665i | 1.68279 | − | 0.0135106i | ||||
\(694\) | −0.0105912 | + | 0.401866i | −0.000402038 | + | 0.0152546i | ||||
\(695\) | −4.17930 | + | 25.7099i | −0.158530 | + | 0.975234i | ||||
\(696\) | 8.07598 | − | 19.6922i | 0.306119 | − | 0.746430i | ||||
\(697\) | 51.4831 | − | 16.7279i | 1.95006 | − | 0.633613i | ||||
\(698\) | −4.69337 | + | 13.2465i | −0.177647 | + | 0.501389i | ||||
\(699\) | −0.100085 | − | 24.9322i | −0.00378555 | − | 0.943022i | ||||
\(700\) | −29.1128 | + | 7.53703i | −1.10036 | + | 0.284873i | ||||
\(701\) | 28.1849i | 1.06453i | 0.846578 | + | 0.532265i | \(0.178659\pi\) | ||||
−0.846578 | + | 0.532265i | \(0.821341\pi\) | |||||||
\(702\) | 4.03466 | − | 11.8384i | 0.152278 | − | 0.446811i | ||||
\(703\) | 0.431803 | + | 1.32895i | 0.0162858 | + | 0.0501224i | ||||
\(704\) | 35.0198 | − | 17.7987i | 1.31986 | − | 0.670814i | ||||
\(705\) | 20.2697 | − | 39.7764i | 0.763402 | − | 1.49807i | ||||
\(706\) | −0.116591 | − | 0.00307279i | −0.00438797 | − | 0.000115646i | ||||
\(707\) | − | 31.9936i | − | 1.20324i | ||||||
\(708\) | −1.25200 | + | 0.340410i | −0.0470530 | + | 0.0127934i | ||||
\(709\) | 29.0197 | − | 21.0841i | 1.08986 | − | 0.791829i | 0.110484 | − | 0.993878i | \(-0.464760\pi\) |
0.979376 | + | 0.202049i | \(0.0647599\pi\) | |||||||
\(710\) | −26.2168 | + | 12.3687i | −0.983899 | + | 0.464191i | ||||
\(711\) | −4.22927 | + | 5.92048i | −0.158610 | + | 0.222035i | ||||
\(712\) | 0.896878 | − | 11.3225i | 0.0336119 | − | 0.424327i | ||||
\(713\) | 4.99035 | − | 3.62570i | 0.186890 | − | 0.135784i | ||||
\(714\) | −36.1600 | − | 12.6487i | −1.35325 | − | 0.473364i | ||||
\(715\) | 8.41635 | + | 16.6854i | 0.314754 | + | 0.623999i | ||||
\(716\) | −4.24998 | + | 11.0604i | −0.158829 | + | 0.413346i | ||||
\(717\) | −30.1905 | − | 9.67567i | −1.12748 | − | 0.361344i | ||||
\(718\) | 9.49122 | + | 32.0617i | 0.354209 | + | 1.19653i | ||||
\(719\) | 2.63761 | − | 8.11773i | 0.0983662 | − | 0.302740i | −0.889750 | − | 0.456448i | \(-0.849121\pi\) |
0.988116 | + | 0.153708i | \(0.0491215\pi\) | |||||||
\(720\) | −25.9412 | − | 6.85965i | −0.966771 | − | 0.255644i | ||||
\(721\) | 3.64101 | + | 11.2059i | 0.135598 | + | 0.417329i | ||||
\(722\) | 21.9622 | − | 15.0887i | 0.817349 | − | 0.561545i | ||||
\(723\) | 7.80250 | − | 10.8304i | 0.290178 | − | 0.402786i | ||||
\(724\) | −11.6819 | + | 7.58072i | −0.434155 | + | 0.281735i | ||||
\(725\) | 6.88051 | − | 20.6043i | 0.255536 | − | 0.765225i | ||||
\(726\) | −30.7602 | + | 9.24038i | −1.14162 | + | 0.342943i | ||||
\(727\) | 33.0273 | + | 23.9957i | 1.22491 | + | 0.889953i | 0.996498 | − | 0.0836109i | \(-0.0266453\pi\) |
0.228416 | + | 0.973564i | \(0.426645\pi\) | |||||||
\(728\) | −13.3721 | − | 5.54684i | −0.495601 | − | 0.205580i | ||||
\(729\) | −8.95946 | − | 25.4701i | −0.331832 | − | 0.943339i | ||||
\(730\) | 30.2795 | + | 16.6069i | 1.12070 | + | 0.614648i | ||||
\(731\) | −17.6235 | + | 54.2397i | −0.651831 | + | 2.00613i | ||||
\(732\) | 15.2264 | + | 23.2590i | 0.562784 | + | 0.859677i | ||||
\(733\) | 4.90294 | + | 1.59306i | 0.181094 | + | 0.0588411i | 0.398160 | − | 0.917316i | \(-0.369649\pi\) |
−0.217066 | + | 0.976157i | \(0.569649\pi\) | |||||||
\(734\) | 4.94739 | + | 3.79759i | 0.182611 | + | 0.140172i | ||||
\(735\) | −5.59705 | + | 5.59647i | −0.206450 | + | 0.206429i | ||||
\(736\) | 4.51123 | − | 4.74580i | 0.166286 | − | 0.174932i | ||||
\(737\) | −2.38292 | + | 1.73129i | −0.0877760 | + | 0.0637730i | ||||
\(738\) | 26.6079 | − | 35.2462i | 0.979450 | − | 1.29743i | ||||
\(739\) | −4.70878 | + | 6.48108i | −0.173215 | + | 0.238410i | −0.886794 | − | 0.462164i | \(-0.847073\pi\) |
0.713579 | + | 0.700575i | \(0.247073\pi\) | |||||||
\(740\) | 6.32254 | + | 14.3707i | 0.232421 | + | 0.528276i | ||||
\(741\) | −0.693496 | − | 0.946502i | −0.0254762 | − | 0.0347706i | ||||
\(742\) | 40.3601 | + | 1.06370i | 1.48167 | + | 0.0390496i | ||||
\(743\) | 3.90420i | 0.143231i | 0.997432 | + | 0.0716156i | \(0.0228155\pi\) | ||||
−0.997432 | + | 0.0716156i | \(0.977185\pi\) | |||||||
\(744\) | −22.2120 | + | 13.7189i | −0.814330 | + | 0.502959i | ||||
\(745\) | −8.09919 | − | 16.0566i | −0.296731 | − | 0.588269i | ||||
\(746\) | 23.1087 | + | 33.6355i | 0.846069 | + | 1.23148i | ||||
\(747\) | 1.74592 | − | 0.582822i | 0.0638799 | − | 0.0213243i | ||||
\(748\) | 51.0025 | + | 2.69023i | 1.86484 | + | 0.0983645i | ||||
\(749\) | 24.6200i | 0.899596i | ||||||||
\(750\) | −26.8849 | − | 5.21551i | −0.981698 | − | 0.190444i | ||||
\(751\) | 49.8220i | 1.81803i | 0.416764 | + | 0.909015i | \(0.363164\pi\) | ||||
−0.416764 | + | 0.909015i | \(0.636836\pi\) | |||||||
\(752\) | −23.0267 | − | 39.9458i | −0.839697 | − | 1.45667i | ||||
\(753\) | 46.5882 | − | 15.3445i | 1.69777 | − | 0.559183i | ||||
\(754\) | 8.61910 | − | 5.92160i | 0.313889 | − | 0.215652i | ||||
\(755\) | −5.62291 | − | 11.1474i | −0.204639 | − | 0.405696i | ||||
\(756\) | −30.0908 | + | 8.44149i | −1.09439 | + | 0.307014i | ||||
\(757\) | 37.4895i | 1.36258i | 0.732013 | + | 0.681290i | \(0.238581\pi\) | ||||
−0.732013 | + | 0.681290i | \(0.761419\pi\) | |||||||
\(758\) | −0.711210 | + | 26.9856i | −0.0258323 | + | 0.980161i | ||||
\(759\) | −7.94118 | + | 5.81845i | −0.288247 | + | 0.211197i | ||||
\(760\) | −1.92168 | + | 1.62613i | −0.0697068 | + | 0.0589860i | ||||
\(761\) | −1.51389 | + | 2.08368i | −0.0548783 | + | 0.0755335i | −0.835574 | − | 0.549378i | \(-0.814865\pi\) |
0.780696 | + | 0.624911i | \(0.214865\pi\) | |||||||
\(762\) | −11.9522 | + | 15.7011i | −0.432984 | + | 0.568791i | ||||
\(763\) | −14.1398 | + | 10.2732i | −0.511895 | + | 0.371913i | ||||
\(764\) | 42.5018 | + | 2.24184i | 1.53766 | + | 0.0811069i | ||||
\(765\) | −24.7658 | − | 24.5703i | −0.895408 | − | 0.888341i | ||||
\(766\) | 6.43490 | − | 8.38319i | 0.232502 | − | 0.302897i | ||||
\(767\) | −0.606268 | − | 0.196988i | −0.0218911 | − | 0.00711284i | ||||
\(768\) | −20.5452 | + | 18.5982i | −0.741362 | + | 0.671106i | ||||
\(769\) | −11.0275 | + | 33.9392i | −0.397662 | + | 1.22388i | 0.529207 | + | 0.848493i | \(0.322490\pi\) |
−0.926869 | + | 0.375385i | \(0.877510\pi\) | |||||||
\(770\) | 22.4556 | − | 40.9435i | 0.809242 | − | 1.47550i | ||||
\(771\) | 5.58426 | − | 1.83925i | 0.201112 | − | 0.0662390i | ||||
\(772\) | −14.9647 | + | 18.4670i | −0.538590 | + | 0.664643i | ||||
\(773\) | −12.9150 | − | 9.38328i | −0.464519 | − | 0.337493i | 0.330782 | − | 0.943707i | \(-0.392687\pi\) |
−0.795302 | + | 0.606214i | \(0.792687\pi\) | |||||||
\(774\) | 13.5644 | + | 44.5053i | 0.487564 | + | 1.59971i | ||||
\(775\) | −21.6833 | + | 15.4859i | −0.778885 | + | 0.556271i | ||||
\(776\) | −6.59323 | + | 7.71175i | −0.236683 | + | 0.276836i | ||||
\(777\) | 14.8367 | + | 10.6887i | 0.532263 | + | 0.383457i | ||||
\(778\) | −0.313447 | − | 0.456233i | −0.0112376 | − | 0.0163568i | ||||
\(779\) | −1.28030 | − | 3.94036i | −0.0458715 | − | 0.141178i | ||||
\(780\) | −8.81770 | − | 9.80075i | −0.315724 | − | 0.350923i | ||||
\(781\) | 13.9098 | − | 42.8098i | 0.497730 | − | 1.53186i | ||||
\(782\) | 8.16284 | − | 2.41644i | 0.291903 | − | 0.0864118i | ||||
\(783\) | 6.71699 | − | 21.5525i | 0.240046 | − | 0.770224i | ||||
\(784\) | 1.69418 | + | 7.99710i | 0.0605065 | + | 0.285611i | ||||
\(785\) | −10.6405 | − | 21.0948i | −0.379775 | − | 0.752904i | ||||
\(786\) | 9.21511 | + | 3.22342i | 0.328692 | + | 0.114976i | ||||
\(787\) | −2.41671 | + | 1.75584i | −0.0861465 | + | 0.0625891i | −0.630025 | − | 0.776575i | \(-0.716955\pi\) |
0.543878 | + | 0.839164i | \(0.316955\pi\) | |||||||
\(788\) | 9.03227 | − | 23.5061i | 0.321761 | − | 0.837370i | ||||
\(789\) | 16.8136 | + | 12.1130i | 0.598580 | + | 0.431233i | ||||
\(790\) | 3.27245 | + | 6.93628i | 0.116428 | + | 0.246782i | ||||
\(791\) | −30.4576 | + | 22.1287i | −1.08295 | + | 0.786807i | ||||
\(792\) | 35.3616 | − | 22.0371i | 1.25652 | − | 0.783055i | ||||
\(793\) | 13.6586i | 0.485032i | ||||||||
\(794\) | −1.39562 | + | 52.9544i | −0.0495288 | + | 1.87928i | ||||
\(795\) | 32.7590 | + | 16.6937i | 1.16184 | + | 0.592065i | ||||
\(796\) | 7.12372 | − | 8.79097i | 0.252493 | − | 0.311588i | ||||
\(797\) | −12.9104 | − | 39.7342i | −0.457310 | − | 1.40746i | −0.868401 | − | 0.495862i | \(-0.834852\pi\) |
0.411091 | − | 0.911594i | \(-0.365148\pi\) | |||||||
\(798\) | −0.968090 | + | 2.76758i | −0.0342700 | + | 0.0979711i | ||||
\(799\) | − | 59.9456i | − | 2.12072i | ||||||
\(800\) | −19.6530 | + | 20.3410i | −0.694840 | + | 0.719165i | ||||
\(801\) | −0.0967176 | − | 12.0465i | −0.00341735 | − | 0.425642i | ||||
\(802\) | −38.9004 | − | 13.7828i | −1.37362 | − | 0.486687i | ||||
\(803\) | −51.0010 | + | 16.5712i | −1.79979 | + | 0.584786i | ||||
\(804\) | 1.30172 | − | 1.61963i | 0.0459081 | − | 0.0571199i | ||||
\(805\) | 1.24887 | − | 7.68271i | 0.0440168 | − | 0.270780i | ||||
\(806\) | −12.8225 | − | 0.337940i | −0.451655 | − | 0.0119034i | ||||
\(807\) | 38.7091 | − | 0.155389i | 1.36263 | − | 0.00546995i | ||||
\(808\) | −15.7095 | − | 25.6648i | −0.552658 | − | 0.902884i | ||||
\(809\) | −4.88883 | − | 6.72889i | −0.171882 | − | 0.236575i | 0.714382 | − | 0.699756i | \(-0.246708\pi\) |
−0.886264 | + | 0.463181i | \(0.846708\pi\) | |||||||
\(810\) | −28.0433 | − | 4.85535i | −0.985340 | − | 0.170600i | ||||
\(811\) | 9.02298 | − | 12.4191i | 0.316840 | − | 0.436092i | −0.620659 | − | 0.784080i | \(-0.713135\pi\) |
0.937499 | + | 0.347988i | \(0.113135\pi\) | |||||||
\(812\) | −24.3917 | − | 9.37257i | −0.855981 | − | 0.328913i | ||||
\(813\) | −5.11955 | + | 3.75106i | −0.179550 | + | 0.131556i | ||||
\(814\) | −22.9794 | − | 8.14181i | −0.805428 | − | 0.285370i | ||||
\(815\) | 14.7248 | − | 28.6108i | 0.515786 | − | 1.00219i | ||||
\(816\) | −35.2177 | + | 7.60870i | −1.23287 | + | 0.266358i | ||||
\(817\) | 4.15134 | + | 1.34885i | 0.145237 | + | 0.0471904i | ||||
\(818\) | −10.2704 | − | 34.6938i | −0.359096 | − | 1.21304i | ||||
\(819\) | −14.6411 | − | 4.62757i | −0.511602 | − | 0.161700i | ||||
\(820\) | −18.7464 | − | 42.6092i | −0.654652 | − | 1.48798i | ||||
\(821\) | −1.65555 | + | 0.537920i | −0.0577791 | + | 0.0187736i | −0.337764 | − | 0.941231i | \(-0.609671\pi\) |
0.279985 | + | 0.960004i | \(0.409671\pi\) | |||||||
\(822\) | 9.39907 | + | 13.5637i | 0.327830 | + | 0.473088i | ||||
\(823\) | 4.02558 | + | 2.92475i | 0.140323 | + | 0.101950i | 0.655732 | − | 0.754994i | \(-0.272360\pi\) |
−0.515409 | + | 0.856944i | \(0.672360\pi\) | |||||||
\(824\) | 8.42306 | + | 7.20137i | 0.293431 | + | 0.250871i | ||||
\(825\) | 34.5065 | − | 24.8539i | 1.20136 | − | 0.865302i | ||||
\(826\) | 0.452149 | + | 1.52738i | 0.0157323 | + | 0.0531443i | ||||
\(827\) | −8.83432 | + | 12.1594i | −0.307199 | + | 0.422824i | −0.934505 | − | 0.355949i | \(-0.884158\pi\) |
0.627306 | + | 0.778773i | \(0.284158\pi\) | |||||||
\(828\) | 4.32899 | − | 5.43073i | 0.150443 | − | 0.188731i | ||||
\(829\) | −3.49010 | − | 10.7414i | −0.121216 | − | 0.373065i | 0.871976 | − | 0.489548i | \(-0.162838\pi\) |
−0.993193 | + | 0.116482i | \(0.962838\pi\) | |||||||
\(830\) | 0.361650 | − | 1.90619i | 0.0125530 | − | 0.0661649i | ||||
\(831\) | 13.5806 | − | 42.3748i | 0.471106 | − | 1.46997i | ||||
\(832\) | −13.4505 | + | 2.11635i | −0.466311 | + | 0.0733713i | ||||
\(833\) | −3.28424 | + | 10.1079i | −0.113792 | + | 0.350216i | ||||
\(834\) | 22.7038 | + | 17.2829i | 0.786168 | + | 0.598459i | ||||
\(835\) | −23.9748 | + | 3.69736i | −0.829682 | + | 0.127952i | ||||
\(836\) | 0.205902 | − | 3.90358i | 0.00712126 | − | 0.135008i | ||||
\(837\) | −22.2046 | + | 16.5448i | −0.767504 | + | 0.571872i | ||||
\(838\) | 26.8548 | + | 20.6137i | 0.927685 | + | 0.712087i | ||||
\(839\) | 34.3724 | + | 24.9730i | 1.18667 | + | 0.862163i | 0.992908 | − | 0.118886i | \(-0.0379323\pi\) |
0.193758 | + | 0.981049i | \(0.437932\pi\) | |||||||
\(840\) | −7.70831 | + | 32.0284i | −0.265962 | + | 1.10509i | ||||
\(841\) | −8.19117 | + | 5.95124i | −0.282454 | + | 0.205215i | ||||
\(842\) | 8.78199 | + | 0.231451i | 0.302647 | + | 0.00797633i | ||||
\(843\) | −10.2070 | + | 0.0409739i | −0.351549 | + | 0.00141122i | ||||
\(844\) | −24.8361 | + | 6.64582i | −0.854895 | + | 0.228759i | ||||
\(845\) | 3.44332 | + | 22.3275i | 0.118454 | + | 0.768091i | ||||
\(846\) | −28.0156 | − | 40.0844i | −0.963197 | − | 1.37813i | ||||
\(847\) | 12.1851 | + | 37.5018i | 0.418684 | + | 1.28858i | ||||
\(848\) | 32.8985 | − | 18.9643i | 1.12974 | − | 0.651237i | ||||
\(849\) | 0.187807 | + | 46.7847i | 0.00644550 | + | 1.60565i | ||||
\(850\) | −35.3444 | + | 10.1511i | −1.21230 | + | 0.348179i | ||||
\(851\) | −4.06355 | −0.139297 | ||||||||
\(852\) | −1.54534 | + | 31.7172i | −0.0529424 | + | 1.08661i | ||||
\(853\) | −10.4364 | + | 3.39101i | −0.357337 | + | 0.116106i | −0.482184 | − | 0.876070i | \(-0.660156\pi\) |
0.124846 | + | 0.992176i | \(0.460156\pi\) | |||||||
\(854\) | 28.1307 | − | 19.3267i | 0.962613 | − | 0.661346i | ||||
\(855\) | −1.88054 | + | 1.89550i | −0.0643130 | + | 0.0648246i | ||||
\(856\) | 12.0889 | + | 19.7498i | 0.413190 | + | 0.675034i | ||||
\(857\) | −32.7405 | −1.11840 | −0.559198 | − | 0.829034i | \(-0.688891\pi\) | ||||
−0.559198 | + | 0.829034i | \(0.688891\pi\) | |||||||
\(858\) | 20.4665 | + | 0.457191i | 0.698714 | + | 0.0156082i | ||||
\(859\) | −1.09435 | − | 1.50624i | −0.0373386 | − | 0.0513922i | 0.789940 | − | 0.613185i | \(-0.210112\pi\) |
−0.827278 | + | 0.561793i | \(0.810112\pi\) | |||||||
\(860\) | 47.9262 | + | 10.4079i | 1.63427 | + | 0.354906i | ||||
\(861\) | −43.9909 | − | 31.6923i | −1.49921 | − | 1.08007i | ||||
\(862\) | 19.2202 | + | 14.7534i | 0.654644 | + | 0.502502i | ||||
\(863\) | 11.0627 | + | 15.2264i | 0.376577 | + | 0.518314i | 0.954674 | − | 0.297654i | \(-0.0962042\pi\) |
−0.578096 | + | 0.815969i | \(0.696204\pi\) | |||||||
\(864\) | −19.9934 | + | 21.5468i | −0.680190 | + | 0.733036i | ||||
\(865\) | 56.5575 | + | 9.19374i | 1.92301 | + | 0.312597i | ||||
\(866\) | 31.7920 | − | 41.4176i | 1.08034 | − | 1.40743i | ||||
\(867\) | −16.5690 | − | 5.31016i | −0.562713 | − | 0.180342i | ||||
\(868\) | 17.4476 | + | 26.8869i | 0.592211 | + | 0.912601i | ||||
\(869\) | −11.3264 | − | 3.68016i | −0.384220 | − | 0.124841i | ||||
\(870\) | −16.3763 | − | 17.2647i | −0.555210 | − | 0.585329i | ||||
\(871\) | 0.970952 | − | 0.315481i | 0.0328995 | − | 0.0106897i | ||||
\(872\) | −6.29839 | + | 15.1839i | −0.213290 | + | 0.514191i | ||||
\(873\) | −6.25534 | + | 8.75672i | −0.211711 | + | 0.296370i | ||||
\(874\) | −0.184947 | − | 0.624759i | −0.00625593 | − | 0.0211328i | ||||
\(875\) | −5.66441 | + | 33.1417i | −0.191492 | + | 1.12039i | ||||
\(876\) | 31.6516 | − | 20.7206i | 1.06941 | − | 0.700084i | ||||
\(877\) | 16.0296 | − | 22.0629i | 0.541281 | − | 0.745010i | −0.447516 | − | 0.894276i | \(-0.647691\pi\) |
0.988797 | + | 0.149266i | \(0.0476912\pi\) | |||||||
\(878\) | 9.96132 | + | 14.4991i | 0.336178 | + | 0.489320i | ||||
\(879\) | 31.4074 | − | 10.3445i | 1.05935 | − | 0.348910i | ||||
\(880\) | −2.09054 | − | 43.8703i | −0.0704722 | − | 1.47887i | ||||
\(881\) | 23.4421 | + | 7.61680i | 0.789785 | + | 0.256617i | 0.676012 | − | 0.736890i | \(-0.263707\pi\) |
0.113772 | + | 0.993507i | \(0.463707\pi\) | |||||||
\(882\) | 2.52781 | + | 8.29380i | 0.0851157 | + | 0.279267i | ||||
\(883\) | −3.57294 | + | 10.9964i | −0.120239 | + | 0.370058i | −0.993004 | − | 0.118084i | \(-0.962325\pi\) |
0.872765 | + | 0.488141i | \(0.162325\pi\) | |||||||
\(884\) | −16.5245 | − | 6.34959i | −0.555781 | − | 0.213560i | ||||
\(885\) | −0.226998 | + | 1.43272i | −0.00763046 | + | 0.0481605i | ||||
\(886\) | −23.7961 | − | 8.43118i | −0.799446 | − | 0.283251i | ||||
\(887\) | 9.43702 | + | 12.9889i | 0.316864 | + | 0.436126i | 0.937506 | − | 0.347968i | \(-0.113128\pi\) |
−0.620643 | + | 0.784094i | \(0.713128\pi\) | |||||||
\(888\) | 17.1501 | + | 1.28924i | 0.575520 | + | 0.0432642i | ||||
\(889\) | 19.5993 | + | 14.2398i | 0.657341 | + | 0.477586i | ||||
\(890\) | −11.1339 | − | 6.10644i | −0.373210 | − | 0.204688i | ||||
\(891\) | 35.3318 | − | 26.5471i | 1.18366 | − | 0.889363i | ||||
\(892\) | −1.78639 | − | 6.67592i | −0.0598126 | − | 0.223526i | ||||
\(893\) | −4.58806 | −0.153533 | ||||||||
\(894\) | −19.6952 | − | 0.439962i | −0.658706 | − | 0.0147145i | ||||
\(895\) | 9.32914 | + | 9.40533i | 0.311839 | + | 0.314385i | ||||
\(896\) | 23.3909 | + | 24.7074i | 0.781434 | + | 0.825415i | ||||
\(897\) | 3.24097 | − | 1.06746i | 0.108213 | − | 0.0356414i | ||||
\(898\) | 35.3679 | + | 12.5312i | 1.18024 | + | 0.418170i | ||||
\(899\) | −23.1525 | −0.772179 | ||||||||
\(900\) | −18.8899 | + | 23.3060i | −0.629664 | + | 0.776867i | ||||
\(901\) | 49.3700 | 1.64475 | ||||||||
\(902\) | 68.1342 | + | 24.1406i | 2.26862 | + | 0.803793i | ||||
\(903\) | 54.2541 | − | 17.8693i | 1.80546 | − | 0.594654i | ||||
\(904\) | −13.5670 | + | 32.7066i | −0.451230 | + | 1.08780i | ||||
\(905\) | 2.37310 | + | 15.3879i | 0.0788844 | + | 0.511510i | ||||
\(906\) | −13.6735 | − | 0.305446i | −0.454272 | − | 0.0101478i | ||||
\(907\) | −28.2441 | −0.937829 | −0.468914 | − | 0.883244i | \(-0.655355\pi\) | ||||
−0.468914 | + | 0.883244i | \(0.655355\pi\) | |||||||
\(908\) | −1.15388 | + | 0.308763i | −0.0382929 | + | 0.0102467i | ||||
\(909\) | −18.9666 | − | 25.6694i | −0.629084 | − | 0.851400i | ||||
\(910\) | −11.7877 | + | 11.0916i | −0.390759 | + | 0.367683i | ||||
\(911\) | 14.9992 | + | 10.8976i | 0.496946 | + | 0.361052i | 0.807849 | − | 0.589389i | \(-0.200632\pi\) |
−0.310904 | + | 0.950441i | \(0.600632\pi\) | |||||||
\(912\) | 0.582347 | + | 2.69546i | 0.0192834 | + | 0.0892555i | ||||
\(913\) | 1.77085 | + | 2.43737i | 0.0586066 | + | 0.0806651i | ||||
\(914\) | −44.3067 | − | 15.6982i | −1.46553 | − | 0.519252i | ||||
\(915\) | 30.6986 | − | 4.86054i | 1.01486 | − | 0.160684i | ||||
\(916\) | 7.08024 | − | 18.4260i | 0.233938 | − | 0.608813i | ||||
\(917\) | 3.70378 | − | 11.3991i | 0.122310 | − | 0.376430i | ||||
\(918\) | −36.5107 | + | 11.2882i | −1.20503 | + | 0.372566i | ||||
\(919\) | −42.6615 | − | 13.8616i | −1.40727 | − | 0.457251i | −0.495738 | − | 0.868472i | \(-0.665102\pi\) |
−0.911536 | + | 0.411221i | \(0.865102\pi\) | |||||||
\(920\) | −2.77053 | − | 6.77616i | −0.0913418 | − | 0.223403i | ||||
\(921\) | −42.1467 | + | 13.8816i | −1.38878 | + | 0.457414i | ||||
\(922\) | −16.8999 | − | 24.5985i | −0.556569 | − | 0.810107i | ||||
\(923\) | −9.17055 | + | 12.6222i | −0.301852 | + | 0.415464i | ||||
\(924\) | −28.0180 | − | 42.7987i | −0.921726 | − | 1.40798i | ||||
\(925\) | 17.5526 | + | 0.142759i | 0.577125 | + | 0.00469389i | ||||
\(926\) | 5.28912 | + | 17.8669i | 0.173811 | + | 0.587142i | ||||
\(927\) | 9.56442 | + | 6.83231i | 0.314137 | + | 0.224403i | ||||
\(928\) | −24.1688 | + | 4.45828i | −0.793378 | + | 0.146350i | ||||
\(929\) | 37.3174 | − | 12.1252i | 1.22434 | − | 0.397813i | 0.375682 | − | 0.926749i | \(-0.377409\pi\) |
0.848662 | + | 0.528935i | \(0.177409\pi\) | |||||||
\(930\) | 3.80347 | + | 28.9397i | 0.124721 | + | 0.948971i | ||||
\(931\) | 0.773625 | + | 0.251366i | 0.0253545 | + | 0.00823818i | ||||
\(932\) | −24.1502 | + | 15.6717i | −0.791065 | + | 0.513343i | ||||
\(933\) | 16.6965 | + | 5.35101i | 0.546619 | + | 0.175184i | ||||
\(934\) | −0.729542 | + | 0.950424i | −0.0238713 | + | 0.0310988i | ||||
\(935\) | 26.1304 | − | 50.7722i | 0.854554 | − | 1.66043i | ||||
\(936\) | −14.0171 | + | 3.47691i | −0.458163 | + | 0.113646i | ||||
\(937\) | −10.9049 | − | 15.0094i | −0.356249 | − | 0.490335i | 0.592850 | − | 0.805313i | \(-0.298003\pi\) |
−0.949099 | + | 0.314978i | \(0.898003\pi\) | |||||||
\(938\) | −2.02363 | − | 1.55333i | −0.0660739 | − | 0.0507180i | ||||
\(939\) | 29.0718 | + | 20.9441i | 0.948721 | + | 0.683485i | ||||
\(940\) | −51.2905 | + | 5.16254i | −1.67291 | + | 0.168383i | ||||
\(941\) | 20.4766 | + | 28.1837i | 0.667520 | + | 0.918762i | 0.999701 | − | 0.0244536i | \(-0.00778461\pi\) |
−0.332181 | + | 0.943216i | \(0.607785\pi\) | |||||||
\(942\) | −25.8750 | − | 0.578010i | −0.843053 | − | 0.0188326i | ||||
\(943\) | 12.0485 | 0.392353 | ||||||||
\(944\) | 1.11268 | + | 1.00322i | 0.0362146 | + | 0.0326521i | ||||
\(945\) | −5.19058 | + | 34.5536i | −0.168850 | + | 1.12403i | ||||
\(946\) | −62.7685 | + | 43.1239i | −2.04078 | + | 1.40208i | ||||
\(947\) | −7.95796 | + | 2.58570i | −0.258599 | + | 0.0840239i | −0.435447 | − | 0.900214i | \(-0.643410\pi\) |
0.176848 | + | 0.984238i | \(0.443410\pi\) | |||||||
\(948\) | 8.39154 | + | 0.408856i | 0.272545 | + | 0.0132790i | ||||
\(949\) | 18.5871 | 0.603363 | ||||||||
\(950\) | 0.776933 | + | 2.70515i | 0.0252070 | + | 0.0877667i | ||||
\(951\) | 0.131694 | + | 32.8065i | 0.00427048 | + | 1.06382i | ||||
\(952\) | 10.3046 | + | 43.0178i | 0.333973 | + | 1.39421i | ||||
\(953\) | 13.8837 | + | 42.7297i | 0.449738 | + | 1.38415i | 0.877203 | + | 0.480119i | \(0.159407\pi\) |
−0.427466 | + | 0.904032i | \(0.640593\pi\) | |||||||
\(954\) | 33.0127 | − | 23.0731i | 1.06882 | − | 0.747018i | ||||
\(955\) | 21.7751 | − | 42.3099i | 0.704627 | − | 1.36912i | ||||
\(956\) | 9.46276 | + | 35.3634i | 0.306048 | + | 1.14373i | ||||
\(957\) | 36.9505 | − | 0.148330i | 1.19444 | − | 0.00479481i | ||||
\(958\) | −29.8351 | − | 0.786308i | −0.963927 | − | 0.0254045i | ||||
\(959\) | 16.3904 | − | 11.9084i | 0.529275 | − | 0.384541i | ||||
\(960\) | 9.54309 | + | 29.4776i | 0.308002 | + | 0.951386i | ||||
\(961\) | −2.10416 | − | 1.52876i | −0.0678761 | − | 0.0493149i | ||||
\(962\) | 6.70298 | + | 5.14518i | 0.216113 | + | 0.165887i | ||||
\(963\) | 14.5954 | + | 19.7534i | 0.470330 | + | 0.636543i | ||||
\(964\) | −15.3919 | − | 0.811874i | −0.495738 | − | 0.0261487i | ||||
\(965\) | 11.9683 | + | 23.7271i | 0.385272 | + | 0.763802i | ||||
\(966\) | −6.78440 | − | 5.16453i | −0.218284 | − | 0.166166i | ||||
\(967\) | −3.52021 | + | 10.8341i | −0.113202 | + | 0.348401i | −0.991568 | − | 0.129589i | \(-0.958634\pi\) |
0.878365 | + | 0.477990i | \(0.158634\pi\) | |||||||
\(968\) | 28.1888 | + | 24.1002i | 0.906022 | + | 0.774611i | ||||
\(969\) | −1.09422 | + | 3.41424i | −0.0351514 | + | 0.109681i | ||||
\(970\) | 4.84013 | + | 10.2592i | 0.155407 | + | 0.329402i | ||||
\(971\) | −1.84507 | − | 5.67854i | −0.0592111 | − | 0.182233i | 0.917076 | − | 0.398712i | \(-0.130543\pi\) |
−0.976287 | + | 0.216479i | \(0.930543\pi\) | |||||||
\(972\) | −19.1384 | + | 24.6114i | −0.613863 | + | 0.789412i | ||||
\(973\) | 20.5907 | − | 28.3406i | 0.660106 | − | 0.908558i | ||||
\(974\) | 3.88724 | + | 13.1313i | 0.124555 | + | 0.420753i | ||||
\(975\) | −14.0369 | + | 4.49704i | −0.449541 | + | 0.144020i | ||||
\(976\) | 13.0762 | − | 29.3163i | 0.418560 | − | 0.938391i | ||||
\(977\) | −36.4253 | − | 26.4646i | −1.16535 | − | 0.846676i | −0.174905 | − | 0.984585i | \(-0.555962\pi\) |
−0.990445 | + | 0.137909i | \(0.955962\pi\) | |||||||
\(978\) | −20.0766 | − | 28.9724i | −0.641980 | − | 0.926436i | ||||
\(979\) | 18.7533 | − | 6.09332i | 0.599359 | − | 0.194744i | ||||
\(980\) | 8.93129 | + | 1.93956i | 0.285300 | + | 0.0619570i | ||||
\(981\) | −5.25457 | + | 16.6249i | −0.167765 | + | 0.530791i | ||||
\(982\) | −6.85899 | − | 23.1700i | −0.218879 | − | 0.739383i | ||||
\(983\) | 17.9764 | + | 5.84088i | 0.573357 | + | 0.186295i | 0.581322 | − | 0.813673i | \(-0.302535\pi\) |
−0.00796540 | + | 0.999968i | \(0.502535\pi\) | |||||||
\(984\) | −50.8503 | − | 3.82263i | −1.62105 | − | 0.121861i | ||||
\(985\) | −19.8268 | − | 19.9887i | −0.631733 | − | 0.636892i | ||||
\(986\) | −30.1181 | − | 10.6711i | −0.959155 | − | 0.339837i | ||||
\(987\) | −48.4316 | + | 35.4856i | −1.54160 | + | 1.12952i | ||||
\(988\) | −0.485978 | + | 1.26474i | −0.0154610 | + | 0.0402367i | ||||
\(989\) | −7.46112 | + | 10.2693i | −0.237250 | + | 0.326546i | ||||
\(990\) | −6.25560 | − | 46.1623i | −0.198816 | − | 1.46714i | ||||
\(991\) | 15.4639 | + | 21.2843i | 0.491228 | + | 0.676117i | 0.980614 | − | 0.195950i | \(-0.0627792\pi\) |
−0.489386 | + | 0.872067i | \(0.662779\pi\) | |||||||
\(992\) | 27.1982 | + | 13.0011i | 0.863544 | + | 0.412786i | ||||
\(993\) | −24.8395 | + | 0.0997125i | −0.788257 | + | 0.00316428i | ||||
\(994\) | 38.9722 | + | 1.02712i | 1.23612 | + | 0.0325783i | ||||
\(995\) | −5.69733 | − | 11.2950i | −0.180618 | − | 0.358074i | ||||
\(996\) | −1.65663 | − | 1.33146i | −0.0524925 | − | 0.0421890i | ||||
\(997\) | −28.1735 | + | 9.15413i | −0.892264 | + | 0.289914i | −0.719040 | − | 0.694968i | \(-0.755418\pi\) |
−0.173224 | + | 0.984883i | \(0.555418\pi\) | |||||||
\(998\) | −32.8871 | − | 11.6522i | −1.04102 | − | 0.368844i | ||||
\(999\) | 18.2405 | − | 0.219676i | 0.577102 | − | 0.00695024i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 300.2.r.a.59.23 | yes | 224 | |
3.2 | odd | 2 | inner | 300.2.r.a.59.34 | yes | 224 | |
4.3 | odd | 2 | inner | 300.2.r.a.59.45 | yes | 224 | |
12.11 | even | 2 | inner | 300.2.r.a.59.12 | ✓ | 224 | |
25.14 | even | 10 | inner | 300.2.r.a.239.12 | yes | 224 | |
75.14 | odd | 10 | inner | 300.2.r.a.239.45 | yes | 224 | |
100.39 | odd | 10 | inner | 300.2.r.a.239.34 | yes | 224 | |
300.239 | even | 10 | inner | 300.2.r.a.239.23 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.r.a.59.12 | ✓ | 224 | 12.11 | even | 2 | inner | |
300.2.r.a.59.23 | yes | 224 | 1.1 | even | 1 | trivial | |
300.2.r.a.59.34 | yes | 224 | 3.2 | odd | 2 | inner | |
300.2.r.a.59.45 | yes | 224 | 4.3 | odd | 2 | inner | |
300.2.r.a.239.12 | yes | 224 | 25.14 | even | 10 | inner | |
300.2.r.a.239.23 | yes | 224 | 300.239 | even | 10 | inner | |
300.2.r.a.239.34 | yes | 224 | 100.39 | odd | 10 | inner | |
300.2.r.a.239.45 | yes | 224 | 75.14 | odd | 10 | inner |