Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [572,2,Mod(67,572)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(572, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("572.67");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 572 = 2^{2} \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 572.bf (of order \(12\), 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: | \(4.56744299562\) |
Analytic rank: | \(0\) |
Dimension: | \(280\) |
Relative dimension: | \(70\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 67.11 | ||
Character | \(\chi\) | \(=\) | 572.67 |
Dual form | 572.2.bf.a.111.11 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/572\mathbb{Z}\right)^\times\).
\(n\) | \(287\) | \(353\) | \(365\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{12}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.25798 | − | 0.646123i | −0.889530 | − | 0.456878i | ||||
\(3\) | −1.39356 | + | 0.804570i | −0.804570 | + | 0.464518i | −0.845067 | − | 0.534661i | \(-0.820439\pi\) |
0.0404969 | + | 0.999180i | \(0.487106\pi\) | |||||||
\(4\) | 1.16505 | + | 1.62562i | 0.582526 | + | 0.812812i | ||||
\(5\) | −1.40920 | + | 1.40920i | −0.630212 | + | 0.630212i | −0.948121 | − | 0.317909i | \(-0.897019\pi\) |
0.317909 | + | 0.948121i | \(0.397019\pi\) | |||||||
\(6\) | 2.27292 | − | 0.111729i | 0.927917 | − | 0.0456131i | ||||
\(7\) | 0.135295 | + | 0.504929i | 0.0511368 | + | 0.190845i | 0.986769 | − | 0.162130i | \(-0.0518365\pi\) |
−0.935633 | + | 0.352976i | \(0.885170\pi\) | |||||||
\(8\) | −0.415264 | − | 2.79778i | −0.146818 | − | 0.989164i | ||||
\(9\) | −0.205335 | + | 0.355651i | −0.0684451 | + | 0.118550i | ||||
\(10\) | 2.68326 | − | 0.862235i | 0.848522 | − | 0.272663i | ||||
\(11\) | 0.965926 | + | 0.258819i | 0.291238 | + | 0.0780369i | ||||
\(12\) | −2.93149 | − | 1.32803i | −0.846249 | − | 0.383370i | ||||
\(13\) | 0.725040 | + | 3.53190i | 0.201090 | + | 0.979573i | ||||
\(14\) | 0.156046 | − | 0.722610i | 0.0417052 | − | 0.193126i | ||||
\(15\) | 0.829997 | − | 3.09759i | 0.214304 | − | 0.799795i | ||||
\(16\) | −1.28531 | + | 3.78787i | −0.321328 | + | 0.946968i | ||||
\(17\) | 4.25546 | + | 2.45689i | 1.03210 | + | 0.595883i | 0.917585 | − | 0.397539i | \(-0.130136\pi\) |
0.114514 | + | 0.993422i | \(0.463469\pi\) | |||||||
\(18\) | 0.488103 | − | 0.314732i | 0.115047 | − | 0.0741831i | ||||
\(19\) | −2.54333 | + | 0.681483i | −0.583480 | + | 0.156343i | −0.538471 | − | 0.842644i | \(-0.680998\pi\) |
−0.0450081 | + | 0.998987i | \(0.514331\pi\) | |||||||
\(20\) | −3.93261 | − | 0.649039i | −0.879359 | − | 0.145129i | ||||
\(21\) | −0.594792 | − | 0.594792i | −0.129794 | − | 0.129794i | ||||
\(22\) | −1.04789 | − | 0.949697i | −0.223411 | − | 0.202476i | ||||
\(23\) | −1.92776 | − | 3.33898i | −0.401965 | − | 0.696224i | 0.591998 | − | 0.805940i | \(-0.298339\pi\) |
−0.993963 | + | 0.109715i | \(0.965006\pi\) | |||||||
\(24\) | 2.82970 | + | 3.56475i | 0.577610 | + | 0.727651i | ||||
\(25\) | 1.02833i | 0.205665i | ||||||||
\(26\) | 1.36995 | − | 4.91154i | 0.268670 | − | 0.963232i | ||||
\(27\) | − | 5.48824i | − | 1.05621i | ||||||
\(28\) | −0.663199 | + | 0.808207i | −0.125333 | + | 0.152737i | ||||
\(29\) | −2.48292 | − | 4.30055i | −0.461067 | − | 0.798592i | 0.537947 | − | 0.842979i | \(-0.319200\pi\) |
−0.999014 | + | 0.0443867i | \(0.985867\pi\) | |||||||
\(30\) | −3.04555 | + | 3.36044i | −0.556038 | + | 0.613530i | ||||
\(31\) | −5.62975 | − | 5.62975i | −1.01113 | − | 1.01113i | −0.999937 | − | 0.0111959i | \(-0.996436\pi\) |
−0.0111959 | − | 0.999937i | \(-0.503564\pi\) | |||||||
\(32\) | 4.06433 | − | 3.93462i | 0.718479 | − | 0.695549i | ||||
\(33\) | −1.55431 | + | 0.416476i | −0.270570 | + | 0.0724991i | ||||
\(34\) | −3.76585 | − | 5.84027i | −0.645838 | − | 1.00160i | ||||
\(35\) | −0.902202 | − | 0.520887i | −0.152500 | − | 0.0880459i | ||||
\(36\) | −0.817382 | + | 0.0805538i | −0.136230 | + | 0.0134256i | ||||
\(37\) | −1.20961 | + | 4.51434i | −0.198859 | + | 0.742153i | 0.792375 | + | 0.610035i | \(0.208844\pi\) |
−0.991234 | + | 0.132118i | \(0.957822\pi\) | |||||||
\(38\) | 3.63979 | + | 0.786007i | 0.590452 | + | 0.127507i | ||||
\(39\) | −3.85204 | − | 4.33855i | −0.616820 | − | 0.694725i | ||||
\(40\) | 4.52781 | + | 3.35743i | 0.715909 | + | 0.530856i | ||||
\(41\) | −9.53371 | − | 2.55455i | −1.48892 | − | 0.398954i | −0.579545 | − | 0.814940i | \(-0.696770\pi\) |
−0.909371 | + | 0.415987i | \(0.863436\pi\) | |||||||
\(42\) | 0.363931 | + | 1.13255i | 0.0561557 | + | 0.174756i | ||||
\(43\) | −5.30072 | + | 9.18111i | −0.808352 | + | 1.40011i | 0.105653 | + | 0.994403i | \(0.466307\pi\) |
−0.914005 | + | 0.405703i | \(0.867027\pi\) | |||||||
\(44\) | 0.704611 | + | 1.87177i | 0.106224 | + | 0.282180i | ||||
\(45\) | −0.211825 | − | 0.790541i | −0.0315770 | − | 0.117847i | ||||
\(46\) | 0.267703 | + | 5.44595i | 0.0394707 | + | 0.802961i | ||||
\(47\) | 0.522200 | − | 0.522200i | 0.0761707 | − | 0.0761707i | −0.667995 | − | 0.744166i | \(-0.732847\pi\) |
0.744166 | + | 0.667995i | \(0.232847\pi\) | |||||||
\(48\) | −1.25645 | − | 6.31273i | −0.181354 | − | 0.911164i | ||||
\(49\) | 5.82553 | − | 3.36337i | 0.832219 | − | 0.480482i | ||||
\(50\) | 0.664424 | − | 1.29362i | 0.0939638 | − | 0.182945i | ||||
\(51\) | −7.90695 | −1.10719 | ||||||||
\(52\) | −4.89684 | + | 5.29349i | −0.679069 | + | 0.734075i | ||||
\(53\) | −0.676326 | −0.0929005 | −0.0464502 | − | 0.998921i | \(-0.514791\pi\) | ||||
−0.0464502 | + | 0.998921i | \(0.514791\pi\) | |||||||
\(54\) | −3.54608 | + | 6.90413i | −0.482560 | + | 0.939533i | ||||
\(55\) | −1.72591 | + | 0.996453i | −0.232721 | + | 0.134362i | ||||
\(56\) | 1.35649 | − | 0.588205i | 0.181269 | − | 0.0786022i | ||||
\(57\) | 2.99597 | − | 2.99597i | 0.396826 | − | 0.396826i | ||||
\(58\) | 0.344798 | + | 7.01430i | 0.0452742 | + | 0.921022i | ||||
\(59\) | −3.72773 | − | 13.9121i | −0.485309 | − | 1.81120i | −0.578667 | − | 0.815564i | \(-0.696427\pi\) |
0.0933586 | − | 0.995633i | \(-0.470240\pi\) | |||||||
\(60\) | 6.00251 | − | 2.25959i | 0.774921 | − | 0.291712i | ||||
\(61\) | −3.73145 | + | 6.46306i | −0.477763 | + | 0.827510i | −0.999675 | − | 0.0254891i | \(-0.991886\pi\) |
0.521912 | + | 0.852999i | \(0.325219\pi\) | |||||||
\(62\) | 3.44463 | + | 10.7197i | 0.437469 | + | 1.36140i | ||||
\(63\) | −0.207360 | − | 0.0555618i | −0.0261248 | − | 0.00700013i | ||||
\(64\) | −7.65511 | + | 2.32363i | −0.956889 | + | 0.290454i | ||||
\(65\) | −5.99887 | − | 3.95542i | −0.744068 | − | 0.490609i | ||||
\(66\) | 2.22439 | + | 0.480354i | 0.273804 | + | 0.0591275i | ||||
\(67\) | −2.82508 | + | 10.5433i | −0.345138 | + | 1.28807i | 0.547312 | + | 0.836929i | \(0.315651\pi\) |
−0.892450 | + | 0.451145i | \(0.851016\pi\) | |||||||
\(68\) | 0.963846 | + | 9.78017i | 0.116883 | + | 1.18602i | ||||
\(69\) | 5.37288 | + | 3.10203i | 0.646818 | + | 0.373441i | ||||
\(70\) | 0.798400 | + | 1.23820i | 0.0954270 | + | 0.147993i | ||||
\(71\) | 0.950521 | − | 0.254691i | 0.112806 | − | 0.0302263i | −0.201974 | − | 0.979391i | \(-0.564736\pi\) |
0.314780 | + | 0.949165i | \(0.398069\pi\) | |||||||
\(72\) | 1.08030 | + | 0.426794i | 0.127315 | + | 0.0502981i | ||||
\(73\) | −0.0597207 | − | 0.0597207i | −0.00698978 | − | 0.00698978i | 0.703603 | − | 0.710593i | \(-0.251573\pi\) |
−0.710593 | + | 0.703603i | \(0.751573\pi\) | |||||||
\(74\) | 4.43849 | − | 4.89741i | 0.515964 | − | 0.569312i | ||||
\(75\) | −0.827360 | − | 1.43303i | −0.0955353 | − | 0.165472i | ||||
\(76\) | −4.07094 | − | 3.34053i | −0.466969 | − | 0.383186i | ||||
\(77\) | 0.522741i | 0.0595718i | ||||||||
\(78\) | 2.04257 | + | 7.94673i | 0.231276 | + | 0.899790i | ||||
\(79\) | − | 13.3133i | − | 1.49786i | −0.662649 | − | 0.748930i | \(-0.730568\pi\) | ||
0.662649 | − | 0.748930i | \(-0.269432\pi\) | |||||||
\(80\) | −3.52660 | − | 7.14912i | −0.394286 | − | 0.799295i | ||||
\(81\) | 3.79967 | + | 6.58122i | 0.422185 | + | 0.731247i | ||||
\(82\) | 10.3427 | + | 9.37353i | 1.14216 | + | 1.03513i | ||||
\(83\) | 3.02512 | + | 3.02512i | 0.332050 | + | 0.332050i | 0.853365 | − | 0.521314i | \(-0.174558\pi\) |
−0.521314 | + | 0.853365i | \(0.674558\pi\) | |||||||
\(84\) | 0.273945 | − | 1.65987i | 0.0298899 | − | 0.181107i | ||||
\(85\) | −9.45902 | + | 2.53454i | −1.02597 | + | 0.274909i | ||||
\(86\) | 12.6003 | − | 8.12478i | 1.35873 | − | 0.876118i | ||||
\(87\) | 6.92018 | + | 3.99537i | 0.741921 | + | 0.428348i | ||||
\(88\) | 0.323004 | − | 2.80992i | 0.0344323 | − | 0.299539i | ||||
\(89\) | −1.92253 | + | 7.17497i | −0.203788 | + | 0.760546i | 0.786028 | + | 0.618191i | \(0.212134\pi\) |
−0.989816 | + | 0.142355i | \(0.954533\pi\) | |||||||
\(90\) | −0.244314 | + | 1.13135i | −0.0257530 | + | 0.119255i | ||||
\(91\) | −1.68526 | + | 0.843943i | −0.176664 | + | 0.0884692i | ||||
\(92\) | 3.18198 | − | 7.02389i | 0.331745 | − | 0.732291i | ||||
\(93\) | 12.3749 | + | 3.31584i | 1.28322 | + | 0.343837i | ||||
\(94\) | −0.994324 | + | 0.319514i | −0.102557 | + | 0.0329554i | ||||
\(95\) | 2.62371 | − | 4.54440i | 0.269187 | − | 0.466245i | ||||
\(96\) | −2.49820 | + | 8.75314i | −0.254971 | + | 0.893364i | ||||
\(97\) | −4.43215 | − | 16.5410i | −0.450016 | − | 1.67948i | −0.702340 | − | 0.711841i | \(-0.747862\pi\) |
0.252324 | − | 0.967643i | \(-0.418805\pi\) | |||||||
\(98\) | −9.50158 | + | 0.467064i | −0.959804 | + | 0.0471805i | ||||
\(99\) | −0.290388 | + | 0.290388i | −0.0291851 | + | 0.0291851i | ||||
\(100\) | −1.67167 | + | 1.19805i | −0.167167 | + | 0.119805i | ||||
\(101\) | 0.0368209 | − | 0.0212585i | 0.00366381 | − | 0.00211530i | −0.498167 | − | 0.867081i | \(-0.665993\pi\) |
0.501831 | + | 0.864966i | \(0.332660\pi\) | |||||||
\(102\) | 9.94682 | + | 5.10886i | 0.984882 | + | 0.505852i | ||||
\(103\) | 4.00944 | 0.395061 | 0.197531 | − | 0.980297i | \(-0.436708\pi\) | ||||
0.197531 | + | 0.980297i | \(0.436708\pi\) | |||||||
\(104\) | 9.58039 | − | 3.49517i | 0.939434 | − | 0.342730i | ||||
\(105\) | 1.67636 | 0.163596 | ||||||||
\(106\) | 0.850807 | + | 0.436989i | 0.0826377 | + | 0.0424441i | ||||
\(107\) | −12.8839 | + | 7.43852i | −1.24553 | + | 0.719109i | −0.970215 | − | 0.242244i | \(-0.922116\pi\) |
−0.275318 | + | 0.961353i | \(0.588783\pi\) | |||||||
\(108\) | 8.92183 | − | 6.39409i | 0.858503 | − | 0.615271i | ||||
\(109\) | 6.57445 | − | 6.57445i | 0.629718 | − | 0.629718i | −0.318279 | − | 0.947997i | \(-0.603105\pi\) |
0.947997 | + | 0.318279i | \(0.103105\pi\) | |||||||
\(110\) | 2.81500 | − | 0.138375i | 0.268399 | − | 0.0131935i | ||||
\(111\) | −1.94644 | − | 7.26420i | −0.184748 | − | 0.689487i | ||||
\(112\) | −2.08650 | − | 0.136509i | −0.197156 | − | 0.0128989i | ||||
\(113\) | 0.817686 | − | 1.41627i | 0.0769214 | − | 0.133232i | −0.824999 | − | 0.565135i | \(-0.808824\pi\) |
0.901920 | + | 0.431903i | \(0.142158\pi\) | |||||||
\(114\) | −5.70465 | + | 1.83312i | −0.534289 | + | 0.171687i | ||||
\(115\) | 7.42187 | + | 1.98868i | 0.692093 | + | 0.185446i | ||||
\(116\) | 4.09835 | − | 9.04666i | 0.380522 | − | 0.839961i | ||||
\(117\) | −1.40500 | − | 0.467363i | −0.129892 | − | 0.0432077i | ||||
\(118\) | −4.29948 | + | 19.9097i | −0.395799 | + | 1.83284i | ||||
\(119\) | −0.664811 | + | 2.48111i | −0.0609431 | + | 0.227443i | ||||
\(120\) | −9.01104 | − | 1.03583i | −0.822592 | − | 0.0945578i | ||||
\(121\) | 0.866025 | + | 0.500000i | 0.0787296 | + | 0.0454545i | ||||
\(122\) | 8.87004 | − | 5.71946i | 0.803056 | − | 0.517816i | ||||
\(123\) | 15.3411 | − | 4.11063i | 1.38326 | − | 0.370643i | ||||
\(124\) | 2.59291 | − | 15.7108i | 0.232851 | − | 1.41087i | ||||
\(125\) | −8.49510 | − | 8.49510i | −0.759825 | − | 0.759825i | ||||
\(126\) | 0.224955 | + | 0.203876i | 0.0200406 | + | 0.0181627i | ||||
\(127\) | 9.17226 | + | 15.8868i | 0.813906 | + | 1.40973i | 0.910111 | + | 0.414365i | \(0.135996\pi\) |
−0.0962045 | + | 0.995362i | \(0.530670\pi\) | |||||||
\(128\) | 11.1314 | + | 2.02305i | 0.983883 | + | 0.178814i | ||||
\(129\) | − | 17.0592i | − | 1.50198i | ||||||
\(130\) | 4.99080 | + | 8.85186i | 0.437722 | + | 0.776360i | ||||
\(131\) | 2.16981i | 0.189577i | 0.995497 | + | 0.0947884i | \(0.0302175\pi\) | ||||
−0.995497 | + | 0.0947884i | \(0.969783\pi\) | |||||||
\(132\) | −2.48788 | − | 2.04151i | −0.216542 | − | 0.177690i | ||||
\(133\) | −0.688200 | − | 1.19200i | −0.0596746 | − | 0.103359i | ||||
\(134\) | 10.3662 | − | 11.4380i | 0.895503 | − | 0.988094i | ||||
\(135\) | 7.73402 | + | 7.73402i | 0.665638 | + | 0.665638i | ||||
\(136\) | 5.10669 | − | 12.9261i | 0.437895 | − | 1.10840i | ||||
\(137\) | 8.58442 | − | 2.30019i | 0.733416 | − | 0.196518i | 0.127266 | − | 0.991869i | \(-0.459380\pi\) |
0.606150 | + | 0.795350i | \(0.292713\pi\) | |||||||
\(138\) | −4.75470 | − | 7.37384i | −0.404747 | − | 0.627703i | ||||
\(139\) | 12.2929 | + | 7.09733i | 1.04267 | + | 0.601988i | 0.920589 | − | 0.390532i | \(-0.127709\pi\) |
0.122084 | + | 0.992520i | \(0.461042\pi\) | |||||||
\(140\) | −0.204346 | − | 2.07350i | −0.0172704 | − | 0.175243i | ||||
\(141\) | −0.307568 | + | 1.14786i | −0.0259019 | + | 0.0966673i | ||||
\(142\) | −1.36030 | − | 0.293755i | −0.114154 | − | 0.0246514i | ||||
\(143\) | −0.213788 | + | 3.59921i | −0.0178779 | + | 0.300981i | ||||
\(144\) | −1.08324 | − | 1.23491i | −0.0902702 | − | 0.102909i | ||||
\(145\) | 9.55925 | + | 2.56139i | 0.793853 | + | 0.212712i | ||||
\(146\) | 0.0365408 | + | 0.113715i | 0.00302414 | + | 0.00941109i | ||||
\(147\) | −5.41213 | + | 9.37409i | −0.446385 | + | 0.773162i | ||||
\(148\) | −8.74788 | + | 3.29306i | −0.719071 | + | 0.270688i | ||||
\(149\) | 0.363340 | + | 1.35600i | 0.0297660 | + | 0.111088i | 0.979211 | − | 0.202847i | \(-0.0650193\pi\) |
−0.949445 | + | 0.313935i | \(0.898353\pi\) | |||||||
\(150\) | 0.114894 | + | 2.33730i | 0.00938102 | + | 0.190840i | ||||
\(151\) | 4.85545 | − | 4.85545i | 0.395131 | − | 0.395131i | −0.481381 | − | 0.876512i | \(-0.659865\pi\) |
0.876512 | + | 0.481381i | \(0.159865\pi\) | |||||||
\(152\) | 2.96279 | + | 6.83267i | 0.240314 | + | 0.554203i | ||||
\(153\) | −1.74759 | + | 1.00897i | −0.141284 | + | 0.0815706i | ||||
\(154\) | 0.337755 | − | 0.657600i | 0.0272170 | − | 0.0529909i | ||||
\(155\) | 15.8669 | 1.27446 | ||||||||
\(156\) | 2.56503 | − | 11.3166i | 0.205367 | − | 0.906054i | ||||
\(157\) | −0.525684 | −0.0419542 | −0.0209771 | − | 0.999780i | \(-0.506678\pi\) | ||||
−0.0209771 | + | 0.999780i | \(0.506678\pi\) | |||||||
\(158\) | −8.60200 | + | 16.7479i | −0.684339 | + | 1.33239i | ||||
\(159\) | 0.942497 | − | 0.544151i | 0.0747449 | − | 0.0431540i | ||||
\(160\) | −0.182793 | + | 11.2721i | −0.0144510 | + | 0.891137i | ||||
\(161\) | 1.42513 | − | 1.42513i | 0.112316 | − | 0.112316i | ||||
\(162\) | −0.527651 | − | 10.7341i | −0.0414562 | − | 0.843352i | ||||
\(163\) | 0.597343 | + | 2.22932i | 0.0467876 | + | 0.174614i | 0.985366 | − | 0.170453i | \(-0.0545231\pi\) |
−0.938578 | + | 0.345066i | \(0.887856\pi\) | |||||||
\(164\) | −6.95452 | − | 18.4744i | −0.543057 | − | 1.44261i | ||||
\(165\) | 1.60343 | − | 2.77723i | 0.124827 | − | 0.216207i | ||||
\(166\) | −1.85096 | − | 5.76016i | −0.143662 | − | 0.447075i | ||||
\(167\) | −16.8355 | − | 4.51105i | −1.30277 | − | 0.349076i | −0.460272 | − | 0.887778i | \(-0.652248\pi\) |
−0.842497 | + | 0.538702i | \(0.818915\pi\) | |||||||
\(168\) | −1.41710 | + | 1.91109i | −0.109332 | + | 0.147444i | ||||
\(169\) | −11.9486 | + | 5.12154i | −0.919126 | + | 0.393964i | ||||
\(170\) | 13.5369 | + | 2.92328i | 1.03823 | + | 0.224205i | ||||
\(171\) | 0.279865 | − | 1.04447i | 0.0214018 | − | 0.0798727i | ||||
\(172\) | −21.1006 | + | 2.07949i | −1.60891 | + | 0.158560i | ||||
\(173\) | −18.5924 | − | 10.7343i | −1.41355 | − | 0.816114i | −0.417830 | − | 0.908525i | \(-0.637209\pi\) |
−0.995721 | + | 0.0924114i | \(0.970543\pi\) | |||||||
\(174\) | −6.12399 | − | 9.49740i | −0.464258 | − | 0.719996i | ||||
\(175\) | −0.519231 | + | 0.139128i | −0.0392502 | + | 0.0105171i | ||||
\(176\) | −2.22189 | + | 3.32614i | −0.167481 | + | 0.250717i | ||||
\(177\) | 16.3880 | + | 16.3880i | 1.23180 | + | 1.23180i | ||||
\(178\) | 7.05442 | − | 7.78382i | 0.528751 | − | 0.583422i | ||||
\(179\) | 9.20363 | + | 15.9412i | 0.687912 | + | 1.19150i | 0.972512 | + | 0.232852i | \(0.0748057\pi\) |
−0.284600 | + | 0.958646i | \(0.591861\pi\) | |||||||
\(180\) | 1.03834 | − | 1.26537i | 0.0773930 | − | 0.0943150i | ||||
\(181\) | 16.9242i | 1.25797i | 0.777418 | + | 0.628985i | \(0.216529\pi\) | ||||
−0.777418 | + | 0.628985i | \(0.783471\pi\) | |||||||
\(182\) | 2.66533 | + | 0.0272196i | 0.197567 | + | 0.00201765i | ||||
\(183\) | − | 12.0088i | − | 0.887720i | ||||||
\(184\) | −8.54118 | + | 6.77999i | −0.629664 | + | 0.499828i | ||||
\(185\) | −4.65701 | − | 8.06618i | −0.342390 | − | 0.593037i | ||||
\(186\) | −13.4250 | − | 12.1670i | −0.984368 | − | 0.892126i | ||||
\(187\) | 3.47457 | + | 3.47457i | 0.254085 | + | 0.254085i | ||||
\(188\) | 1.45729 | + | 0.240511i | 0.106284 | + | 0.0175411i | ||||
\(189\) | 2.77117 | − | 0.742533i | 0.201573 | − | 0.0540114i | ||||
\(190\) | −6.23682 | + | 4.02154i | −0.452467 | + | 0.291753i | ||||
\(191\) | 6.02567 | + | 3.47892i | 0.436002 | + | 0.251726i | 0.701900 | − | 0.712275i | \(-0.252335\pi\) |
−0.265898 | + | 0.964001i | \(0.585669\pi\) | |||||||
\(192\) | 8.79830 | − | 9.39718i | 0.634963 | − | 0.678183i | ||||
\(193\) | −1.81647 | + | 6.77916i | −0.130752 | + | 0.487974i | −0.999979 | − | 0.00643895i | \(-0.997950\pi\) |
0.869227 | + | 0.494413i | \(0.164617\pi\) | |||||||
\(194\) | −5.11194 | + | 23.6720i | −0.367016 | + | 1.69955i | ||||
\(195\) | 11.5422 | + | 0.685590i | 0.826552 | + | 0.0490961i | ||||
\(196\) | 12.2546 | + | 5.55162i | 0.875330 | + | 0.396545i | ||||
\(197\) | 18.0194 | + | 4.82827i | 1.28383 | + | 0.344000i | 0.835312 | − | 0.549776i | \(-0.185287\pi\) |
0.448514 | + | 0.893776i | \(0.351953\pi\) | |||||||
\(198\) | 0.552930 | − | 0.177678i | 0.0392950 | − | 0.0126270i | ||||
\(199\) | 5.86797 | − | 10.1636i | 0.415969 | − | 0.720480i | −0.579560 | − | 0.814929i | \(-0.696776\pi\) |
0.995530 | + | 0.0944493i | \(0.0301090\pi\) | |||||||
\(200\) | 2.87703 | − | 0.427027i | 0.203436 | − | 0.0301953i | ||||
\(201\) | −4.54595 | − | 16.9657i | −0.320646 | − | 1.19667i | ||||
\(202\) | −0.0600557 | + | 0.00295212i | −0.00422550 | + | 0.000207711i | ||||
\(203\) | 1.83554 | − | 1.83554i | 0.128830 | − | 0.128830i | ||||
\(204\) | −9.21200 | − | 12.8537i | −0.644969 | − | 0.899941i | ||||
\(205\) | 17.0347 | − | 9.83501i | 1.18976 | − | 0.686907i | ||||
\(206\) | −5.04381 | − | 2.59059i | −0.351419 | − | 0.180495i | ||||
\(207\) | 1.58335 | 0.110050 | ||||||||
\(208\) | −14.3103 | − | 1.79323i | −0.992240 | − | 0.124338i | ||||
\(209\) | −2.63305 | −0.182132 | ||||||||
\(210\) | −2.10883 | − | 1.08313i | −0.145523 | − | 0.0747433i | ||||
\(211\) | −12.4224 | + | 7.17207i | −0.855193 | + | 0.493746i | −0.862400 | − | 0.506228i | \(-0.831039\pi\) |
0.00720676 | + | 0.999974i | \(0.497706\pi\) | |||||||
\(212\) | −0.787954 | − | 1.09945i | −0.0541169 | − | 0.0755106i | ||||
\(213\) | −1.11969 | + | 1.11969i | −0.0767197 | + | 0.0767197i | ||||
\(214\) | 21.0139 | − | 1.03297i | 1.43648 | − | 0.0706124i | ||||
\(215\) | −5.46824 | − | 20.4078i | −0.372931 | − | 1.39180i | ||||
\(216\) | −15.3549 | + | 2.27907i | −1.04477 | + | 0.155071i | ||||
\(217\) | 2.08094 | − | 3.60430i | 0.141264 | − | 0.244676i | ||||
\(218\) | −12.5185 | + | 4.02266i | −0.847857 | + | 0.272449i | ||||
\(219\) | 0.131274 | + | 0.0351747i | 0.00887065 | + | 0.00237688i | ||||
\(220\) | −3.63063 | − | 1.64476i | −0.244777 | − | 0.110890i | ||||
\(221\) | −5.59211 | + | 16.8112i | −0.376166 | + | 1.13084i | ||||
\(222\) | −2.24498 | + | 10.3959i | −0.150673 | + | 0.697726i | ||||
\(223\) | −3.74265 | + | 13.9677i | −0.250626 | + | 0.935350i | 0.719845 | + | 0.694134i | \(0.244213\pi\) |
−0.970472 | + | 0.241215i | \(0.922454\pi\) | |||||||
\(224\) | 2.53659 | + | 1.51986i | 0.169483 | + | 0.101550i | ||||
\(225\) | −0.365725 | − | 0.211152i | −0.0243817 | − | 0.0140768i | ||||
\(226\) | −1.94372 | + | 1.25333i | −0.129295 | + | 0.0833700i | ||||
\(227\) | −0.177145 | + | 0.0474660i | −0.0117575 | + | 0.00315043i | −0.264693 | − | 0.964333i | \(-0.585271\pi\) |
0.252935 | + | 0.967483i | \(0.418604\pi\) | |||||||
\(228\) | 8.36078 | + | 1.37986i | 0.553706 | + | 0.0913837i | ||||
\(229\) | −8.12626 | − | 8.12626i | −0.536998 | − | 0.536998i | 0.385648 | − | 0.922646i | \(-0.373978\pi\) |
−0.922646 | + | 0.385648i | \(0.873978\pi\) | |||||||
\(230\) | −8.05166 | − | 7.29717i | −0.530911 | − | 0.481161i | ||||
\(231\) | −0.420581 | − | 0.728468i | −0.0276722 | − | 0.0479297i | ||||
\(232\) | −11.0009 | + | 8.73253i | −0.722245 | + | 0.573319i | ||||
\(233\) | 18.3476i | 1.20199i | 0.799252 | + | 0.600996i | \(0.205229\pi\) | ||||
−0.799252 | + | 0.600996i | \(0.794771\pi\) | |||||||
\(234\) | 1.46550 | + | 1.49574i | 0.0958025 | + | 0.0977795i | ||||
\(235\) | 1.47177i | 0.0960074i | ||||||||
\(236\) | 18.2728 | − | 22.2682i | 1.18946 | − | 1.44953i | ||||
\(237\) | 10.7115 | + | 18.5528i | 0.695784 | + | 1.20513i | ||||
\(238\) | 2.43942 | − | 2.69165i | 0.158124 | − | 0.174473i | ||||
\(239\) | −7.18733 | − | 7.18733i | −0.464910 | − | 0.464910i | 0.435351 | − | 0.900261i | \(-0.356624\pi\) |
−0.900261 | + | 0.435351i | \(0.856624\pi\) | |||||||
\(240\) | 10.6665 | + | 7.12529i | 0.688518 | + | 0.459936i | ||||
\(241\) | −9.96375 | + | 2.66978i | −0.641822 | + | 0.171976i | −0.565028 | − | 0.825071i | \(-0.691135\pi\) |
−0.0767933 | + | 0.997047i | \(0.524468\pi\) | |||||||
\(242\) | −0.766385 | − | 1.18855i | −0.0492651 | − | 0.0764029i | ||||
\(243\) | 3.66878 | + | 2.11817i | 0.235352 | + | 0.135881i | ||||
\(244\) | −14.8538 | + | 1.46386i | −0.950920 | + | 0.0937141i | ||||
\(245\) | −3.46967 | + | 12.9490i | −0.221669 | + | 0.827280i | ||||
\(246\) | −21.9548 | − | 4.74110i | −1.39979 | − | 0.302282i | ||||
\(247\) | −4.25094 | − | 8.48868i | −0.270481 | − | 0.540122i | ||||
\(248\) | −13.4130 | + | 18.0886i | −0.851724 | + | 1.14863i | ||||
\(249\) | −6.64959 | − | 1.78175i | −0.421401 | − | 0.112914i | ||||
\(250\) | 5.19783 | + | 16.1756i | 0.328740 | + | 1.02303i | ||||
\(251\) | −11.7651 | + | 20.3778i | −0.742610 | + | 1.28624i | 0.208694 | + | 0.977981i | \(0.433079\pi\) |
−0.951303 | + | 0.308257i | \(0.900254\pi\) | |||||||
\(252\) | −0.151262 | − | 0.401821i | −0.00952860 | − | 0.0253124i | ||||
\(253\) | −0.997881 | − | 3.72414i | −0.0627362 | − | 0.234135i | ||||
\(254\) | −1.27373 | − | 25.9118i | −0.0799209 | − | 1.62585i | ||||
\(255\) | 11.1425 | − | 11.1425i | 0.697768 | − | 0.697768i | ||||
\(256\) | −12.6960 | − | 9.73719i | −0.793497 | − | 0.608574i | ||||
\(257\) | 15.1577 | − | 8.75128i | 0.945509 | − | 0.545890i | 0.0538261 | − | 0.998550i | \(-0.482858\pi\) |
0.891683 | + | 0.452660i | \(0.149525\pi\) | |||||||
\(258\) | −11.0223 | + | 21.4602i | −0.686220 | + | 1.33605i | ||||
\(259\) | −2.44307 | −0.151805 | ||||||||
\(260\) | −0.558961 | − | 14.3602i | −0.0346653 | − | 0.890580i | ||||
\(261\) | 2.03933 | 0.126231 | ||||||||
\(262\) | 1.40196 | − | 2.72958i | 0.0866134 | − | 0.168634i | ||||
\(263\) | −8.74829 | + | 5.05082i | −0.539442 | + | 0.311447i | −0.744853 | − | 0.667229i | \(-0.767480\pi\) |
0.205411 | + | 0.978676i | \(0.434147\pi\) | |||||||
\(264\) | 1.81066 | + | 4.17566i | 0.111438 | + | 0.256994i | ||||
\(265\) | 0.953076 | − | 0.953076i | 0.0585470 | − | 0.0585470i | ||||
\(266\) | 0.0955688 | + | 1.94418i | 0.00585970 | + | 0.119205i | ||||
\(267\) | −3.09362 | − | 11.5455i | −0.189326 | − | 0.706575i | ||||
\(268\) | −20.4309 | + | 7.69101i | −1.24801 | + | 0.469803i | ||||
\(269\) | −7.78426 | + | 13.4827i | −0.474615 | + | 0.822057i | −0.999577 | − | 0.0290685i | \(-0.990746\pi\) |
0.524963 | + | 0.851125i | \(0.324079\pi\) | |||||||
\(270\) | −4.73215 | − | 14.7264i | −0.287990 | − | 0.896220i | ||||
\(271\) | −15.8500 | − | 4.24698i | −0.962816 | − | 0.257986i | −0.257024 | − | 0.966405i | \(-0.582742\pi\) |
−0.705792 | + | 0.708419i | \(0.749409\pi\) | |||||||
\(272\) | −14.7760 | + | 12.9613i | −0.895924 | + | 0.785892i | ||||
\(273\) | 1.66950 | − | 2.53199i | 0.101043 | − | 0.153243i | ||||
\(274\) | −12.2853 | − | 2.65298i | −0.742180 | − | 0.160273i | ||||
\(275\) | −0.266150 | + | 0.993286i | −0.0160495 | + | 0.0598974i | ||||
\(276\) | 1.21694 | + | 12.3483i | 0.0732510 | + | 0.743281i | ||||
\(277\) | 1.43694 | + | 0.829620i | 0.0863376 | + | 0.0498471i | 0.542547 | − | 0.840025i | \(-0.317460\pi\) |
−0.456210 | + | 0.889872i | \(0.650793\pi\) | |||||||
\(278\) | −10.8786 | − | 16.8711i | −0.652454 | − | 1.01186i | ||||
\(279\) | 3.15822 | − | 0.846242i | 0.189077 | − | 0.0506632i | ||||
\(280\) | −1.08267 | + | 2.74047i | −0.0647020 | + | 0.163774i | ||||
\(281\) | 2.75995 | + | 2.75995i | 0.164645 | + | 0.164645i | 0.784621 | − | 0.619976i | \(-0.212858\pi\) |
−0.619976 | + | 0.784621i | \(0.712858\pi\) | |||||||
\(282\) | 1.12857 | − | 1.24526i | 0.0672056 | − | 0.0741544i | ||||
\(283\) | 0.0854972 | + | 0.148086i | 0.00508228 | + | 0.00880277i | 0.868555 | − | 0.495592i | \(-0.165049\pi\) |
−0.863473 | + | 0.504395i | \(0.831716\pi\) | |||||||
\(284\) | 1.52144 | + | 1.24846i | 0.0902807 | + | 0.0740826i | ||||
\(285\) | 8.44382i | 0.500169i | ||||||||
\(286\) | 2.59447 | − | 4.38961i | 0.153414 | − | 0.259563i | ||||
\(287\) | − | 5.15946i | − | 0.304553i | ||||||
\(288\) | 0.564801 | + | 2.25340i | 0.0332812 | + | 0.132783i | ||||
\(289\) | 3.57260 | + | 6.18793i | 0.210153 | + | 0.363996i | ||||
\(290\) | −10.3704 | − | 9.39864i | −0.608972 | − | 0.551907i | ||||
\(291\) | 19.4848 | + | 19.4848i | 1.14222 | + | 1.14222i | ||||
\(292\) | 0.0275058 | − | 0.166661i | 0.00160965 | − | 0.00975311i | ||||
\(293\) | −24.5764 | + | 6.58522i | −1.43577 | + | 0.384712i | −0.891049 | − | 0.453907i | \(-0.850030\pi\) |
−0.544717 | + | 0.838620i | \(0.683363\pi\) | |||||||
\(294\) | 12.8652 | − | 8.29556i | 0.750313 | − | 0.483807i | ||||
\(295\) | 24.8579 | + | 14.3517i | 1.44729 | + | 0.835591i | ||||
\(296\) | 13.1324 | + | 1.50959i | 0.763306 | + | 0.0877429i | ||||
\(297\) | 1.42046 | − | 5.30124i | 0.0824236 | − | 0.307609i | ||||
\(298\) | 0.419068 | − | 1.94059i | 0.0242760 | − | 0.112416i | ||||
\(299\) | 10.3952 | − | 9.22954i | 0.601171 | − | 0.533758i | ||||
\(300\) | 1.36565 | − | 3.01453i | 0.0788459 | − | 0.174044i | ||||
\(301\) | −5.35297 | − | 1.43432i | −0.308540 | − | 0.0826730i | ||||
\(302\) | −9.24529 | + | 2.97087i | −0.532007 | + | 0.170954i | ||||
\(303\) | −0.0342079 | + | 0.0592499i | −0.00196519 | + | 0.00340382i | ||||
\(304\) | 0.687598 | − | 10.5097i | 0.0394365 | − | 0.602774i | ||||
\(305\) | −3.84938 | − | 14.3661i | −0.220415 | − | 0.822599i | ||||
\(306\) | 2.85036 | − | 0.140114i | 0.162944 | − | 0.00800977i | ||||
\(307\) | −14.0593 | + | 14.0593i | −0.802407 | + | 0.802407i | −0.983471 | − | 0.181065i | \(-0.942046\pi\) |
0.181065 | + | 0.983471i | \(0.442046\pi\) | |||||||
\(308\) | −0.849780 | + | 0.609020i | −0.0484207 | + | 0.0347021i | ||||
\(309\) | −5.58737 | + | 3.22587i | −0.317854 | + | 0.183513i | ||||
\(310\) | −19.9603 | − | 10.2519i | −1.13367 | − | 0.582271i | ||||
\(311\) | −9.15625 | −0.519203 | −0.259602 | − | 0.965716i | \(-0.583591\pi\) | ||||
−0.259602 | + | 0.965716i | \(0.583591\pi\) | |||||||
\(312\) | −10.5387 | + | 12.5788i | −0.596636 | + | 0.712134i | ||||
\(313\) | 4.54763 | 0.257047 | 0.128524 | − | 0.991706i | \(-0.458976\pi\) | ||||
0.128524 | + | 0.991706i | \(0.458976\pi\) | |||||||
\(314\) | 0.661303 | + | 0.339656i | 0.0373195 | + | 0.0191679i | ||||
\(315\) | 0.370508 | − | 0.213913i | 0.0208758 | − | 0.0120526i | ||||
\(316\) | 21.6424 | − | 15.5106i | 1.21748 | − | 0.872542i | ||||
\(317\) | 13.5533 | − | 13.5533i | 0.761232 | − | 0.761232i | −0.215313 | − | 0.976545i | \(-0.569077\pi\) |
0.976545 | + | 0.215313i | \(0.0690773\pi\) | |||||||
\(318\) | −1.53724 | + | 0.0755650i | −0.0862039 | + | 0.00423747i | ||||
\(319\) | −1.28526 | − | 4.79664i | −0.0719605 | − | 0.268560i | ||||
\(320\) | 7.51311 | − | 14.0620i | 0.419995 | − | 0.786091i | ||||
\(321\) | 11.9696 | − | 20.7320i | 0.668079 | − | 1.15715i | ||||
\(322\) | −2.71360 | + | 0.871982i | −0.151223 | + | 0.0485937i | ||||
\(323\) | −12.4973 | − | 3.34865i | −0.695371 | − | 0.186324i | ||||
\(324\) | −6.27178 | + | 13.8443i | −0.348432 | + | 0.769127i | ||||
\(325\) | −3.63194 | + | 0.745577i | −0.201464 | + | 0.0413572i | ||||
\(326\) | 0.688963 | − | 3.19040i | 0.0381581 | − | 0.176700i | ||||
\(327\) | −3.87226 | + | 14.4515i | −0.214136 | + | 0.799168i | ||||
\(328\) | −3.18805 | + | 27.7340i | −0.176031 | + | 1.53135i | ||||
\(329\) | 0.334325 | + | 0.193023i | 0.0184319 | + | 0.0106417i | ||||
\(330\) | −3.81152 | + | 2.45769i | −0.209817 | + | 0.135292i | ||||
\(331\) | −22.4853 | + | 6.02493i | −1.23591 | + | 0.331160i | −0.816877 | − | 0.576812i | \(-0.804296\pi\) |
−0.419030 | + | 0.907972i | \(0.637630\pi\) | |||||||
\(332\) | −1.39329 | + | 8.44213i | −0.0764667 | + | 0.463322i | ||||
\(333\) | −1.35715 | − | 1.35715i | −0.0743716 | − | 0.0743716i | ||||
\(334\) | 18.2641 | + | 16.5526i | 0.999367 | + | 0.905719i | ||||
\(335\) | −10.8766 | − | 18.8387i | −0.594250 | − | 1.02927i | ||||
\(336\) | 3.01749 | − | 1.48850i | 0.164617 | − | 0.0812045i | ||||
\(337\) | 6.48128i | 0.353058i | 0.984295 | + | 0.176529i | \(0.0564869\pi\) | ||||
−0.984295 | + | 0.176529i | \(0.943513\pi\) | |||||||
\(338\) | 18.3403 | + | 1.27747i | 0.997583 | + | 0.0694851i | ||||
\(339\) | 2.63154i | 0.142926i | ||||||||
\(340\) | −15.1404 | − | 12.4239i | −0.821106 | − | 0.673783i | ||||
\(341\) | −3.98084 | − | 6.89501i | −0.215574 | − | 0.373386i | ||||
\(342\) | −1.02692 | + | 1.13310i | −0.0555296 | + | 0.0612711i | ||||
\(343\) | 5.07386 | + | 5.07386i | 0.273963 | + | 0.273963i | ||||
\(344\) | 27.8879 | + | 11.0176i | 1.50361 | + | 0.594031i | ||||
\(345\) | −11.9428 | + | 3.20007i | −0.642980 | + | 0.172286i | ||||
\(346\) | 16.4532 | + | 25.5165i | 0.884531 | + | 1.37178i | ||||
\(347\) | 23.0634 | + | 13.3156i | 1.23811 | + | 0.714821i | 0.968707 | − | 0.248207i | \(-0.0798413\pi\) |
0.269400 | + | 0.963028i | \(0.413175\pi\) | |||||||
\(348\) | 1.56740 | + | 15.9044i | 0.0840213 | + | 0.852567i | ||||
\(349\) | 4.31479 | − | 16.1030i | 0.230965 | − | 0.861974i | −0.748961 | − | 0.662614i | \(-0.769447\pi\) |
0.979926 | − | 0.199360i | \(-0.0638863\pi\) | |||||||
\(350\) | 0.743078 | + | 0.160467i | 0.0397192 | + | 0.00857730i | ||||
\(351\) | 19.3839 | − | 3.97920i | 1.03464 | − | 0.212394i | ||||
\(352\) | 4.94420 | − | 2.74862i | 0.263527 | − | 0.146502i | ||||
\(353\) | 30.2221 | + | 8.09800i | 1.60856 | + | 0.431013i | 0.947614 | − | 0.319419i | \(-0.103488\pi\) |
0.660948 | + | 0.750432i | \(0.270154\pi\) | |||||||
\(354\) | −10.0272 | − | 31.2045i | −0.532940 | − | 1.65850i | ||||
\(355\) | −0.980561 | + | 1.69838i | −0.0520428 | + | 0.0901407i | ||||
\(356\) | −13.9037 | + | 5.23390i | −0.736892 | + | 0.277396i | ||||
\(357\) | −1.06977 | − | 3.99245i | −0.0566184 | − | 0.211303i | ||||
\(358\) | −1.27809 | − | 26.0004i | −0.0675490 | − | 1.37416i | ||||
\(359\) | −18.1502 | + | 18.1502i | −0.957933 | + | 0.957933i | −0.999150 | − | 0.0412173i | \(-0.986876\pi\) |
0.0412173 | + | 0.999150i | \(0.486876\pi\) | |||||||
\(360\) | −2.12379 | + | 0.920922i | −0.111934 | + | 0.0485369i | ||||
\(361\) | −10.4504 | + | 6.03353i | −0.550020 | + | 0.317554i | ||||
\(362\) | 10.9351 | − | 21.2904i | 0.574738 | − | 1.11900i | ||||
\(363\) | −1.60914 | −0.0844579 | ||||||||
\(364\) | −3.33535 | − | 1.75637i | −0.174820 | − | 0.0920588i | ||||
\(365\) | 0.168317 | 0.00881009 | ||||||||
\(366\) | −7.75919 | + | 15.1069i | −0.405579 | + | 0.789653i | ||||
\(367\) | −0.890136 | + | 0.513920i | −0.0464647 | + | 0.0268264i | −0.523052 | − | 0.852301i | \(-0.675207\pi\) |
0.476588 | + | 0.879127i | \(0.341873\pi\) | |||||||
\(368\) | 15.1254 | − | 3.01048i | 0.788465 | − | 0.156932i | ||||
\(369\) | 2.86614 | − | 2.86614i | 0.149205 | − | 0.149205i | ||||
\(370\) | 0.646708 | + | 13.1561i | 0.0336207 | + | 0.683954i | ||||
\(371\) | −0.0915036 | − | 0.341496i | −0.00475063 | − | 0.0177296i | ||||
\(372\) | 9.02707 | + | 23.9801i | 0.468032 | + | 1.24331i | ||||
\(373\) | −5.46186 | + | 9.46021i | −0.282804 | + | 0.489831i | −0.972074 | − | 0.234673i | \(-0.924598\pi\) |
0.689270 | + | 0.724504i | \(0.257931\pi\) | |||||||
\(374\) | −2.12596 | − | 6.61594i | −0.109931 | − | 0.342102i | ||||
\(375\) | 18.6733 | + | 5.00349i | 0.964285 | + | 0.258379i | ||||
\(376\) | −1.67785 | − | 1.24415i | −0.0865285 | − | 0.0641620i | ||||
\(377\) | 13.3889 | − | 11.8875i | 0.689563 | − | 0.612238i | ||||
\(378\) | −3.96586 | − | 0.856421i | −0.203982 | − | 0.0440496i | ||||
\(379\) | 5.77026 | − | 21.5349i | 0.296398 | − | 1.10617i | −0.643702 | − | 0.765276i | \(-0.722602\pi\) |
0.940100 | − | 0.340898i | \(-0.110731\pi\) | |||||||
\(380\) | 10.4442 | − | 1.02929i | 0.535778 | − | 0.0528014i | ||||
\(381\) | −25.5641 | − | 14.7594i | −1.30969 | − | 0.756149i | ||||
\(382\) | −5.33239 | − | 8.26975i | −0.272829 | − | 0.423117i | ||||
\(383\) | 3.10926 | − | 0.833123i | 0.158876 | − | 0.0425706i | −0.178505 | − | 0.983939i | \(-0.557126\pi\) |
0.337380 | + | 0.941369i | \(0.390459\pi\) | |||||||
\(384\) | −17.1399 | + | 6.13673i | −0.874665 | + | 0.313164i | ||||
\(385\) | −0.736645 | − | 0.736645i | −0.0375429 | − | 0.0375429i | ||||
\(386\) | 6.66526 | − | 7.35441i | 0.339253 | − | 0.374330i | ||||
\(387\) | −2.17685 | − | 3.77041i | −0.110656 | − | 0.191661i | ||||
\(388\) | 21.7258 | − | 26.4761i | 1.10296 | − | 1.34412i | ||||
\(389\) | − | 29.1364i | − | 1.47727i | −0.674103 | − | 0.738637i | \(-0.735470\pi\) | ||
0.674103 | − | 0.738637i | \(-0.264530\pi\) | |||||||
\(390\) | −14.0769 | − | 8.32012i | −0.712811 | − | 0.421305i | ||||
\(391\) | − | 18.9451i | − | 0.958097i | ||||||
\(392\) | −11.8291 | − | 14.9018i | −0.597460 | − | 0.752657i | ||||
\(393\) | −1.74576 | − | 3.02375i | −0.0880619 | − | 0.152528i | ||||
\(394\) | −19.5484 | − | 17.7166i | −0.984835 | − | 0.892550i | ||||
\(395\) | 18.7610 | + | 18.7610i | 0.943970 | + | 0.943970i | ||||
\(396\) | −0.810379 | − | 0.133745i | −0.0407231 | − | 0.00672094i | ||||
\(397\) | 24.7618 | − | 6.63491i | 1.24276 | − | 0.332997i | 0.423225 | − | 0.906025i | \(-0.360898\pi\) |
0.819536 | + | 0.573028i | \(0.194231\pi\) | |||||||
\(398\) | −13.9488 | + | 8.99425i | −0.699188 | + | 0.450841i | ||||
\(399\) | 1.91809 | + | 1.10741i | 0.0960247 | + | 0.0554399i | ||||
\(400\) | −3.89517 | − | 1.32172i | −0.194758 | − | 0.0660859i | ||||
\(401\) | 3.10281 | − | 11.5799i | 0.154947 | − | 0.578270i | −0.844163 | − | 0.536087i | \(-0.819902\pi\) |
0.999110 | − | 0.0421834i | \(-0.0134314\pi\) | |||||||
\(402\) | −5.24319 | + | 24.2798i | −0.261507 | + | 1.21097i | ||||
\(403\) | 15.8019 | − | 23.9655i | 0.787150 | − | 1.19381i | ||||
\(404\) | 0.0774566 | + | 0.0350896i | 0.00385361 | + | 0.00174577i | ||||
\(405\) | −14.6287 | − | 3.91975i | −0.726907 | − | 0.194774i | ||||
\(406\) | −3.49507 | + | 1.12310i | −0.173457 | + | 0.0557385i | ||||
\(407\) | −2.33679 | + | 4.04744i | −0.115831 | + | 0.200624i | ||||
\(408\) | 3.28347 | + | 22.1219i | 0.162556 | + | 1.09520i | ||||
\(409\) | 9.89069 | + | 36.9125i | 0.489063 | + | 1.82521i | 0.561023 | + | 0.827800i | \(0.310408\pi\) |
−0.0719596 | + | 0.997408i | \(0.522925\pi\) | |||||||
\(410\) | −27.7841 | + | 1.36577i | −1.37216 | + | 0.0674503i | ||||
\(411\) | −10.1122 | + | 10.1122i | −0.498798 | + | 0.498798i | ||||
\(412\) | 4.67120 | + | 6.51784i | 0.230133 | + | 0.321111i | ||||
\(413\) | 6.52026 | − | 3.76447i | 0.320841 | − | 0.185238i | ||||
\(414\) | −1.99183 | − | 1.02304i | −0.0978930 | − | 0.0502795i | ||||
\(415\) | −8.52599 | −0.418524 | ||||||||
\(416\) | 16.8435 | + | 11.5021i | 0.825819 | + | 0.563935i | ||||
\(417\) | −22.8412 | −1.11854 | ||||||||
\(418\) | 3.31233 | + | 1.70127i | 0.162012 | + | 0.0832119i | ||||
\(419\) | −17.2817 | + | 9.97759i | −0.844266 | + | 0.487437i | −0.858712 | − | 0.512458i | \(-0.828735\pi\) |
0.0144460 | + | 0.999896i | \(0.495402\pi\) | |||||||
\(420\) | 1.95304 | + | 2.72513i | 0.0952987 | + | 0.132973i | ||||
\(421\) | 9.79912 | − | 9.79912i | 0.477580 | − | 0.477580i | −0.426777 | − | 0.904357i | \(-0.640351\pi\) |
0.904357 | + | 0.426777i | \(0.140351\pi\) | |||||||
\(422\) | 20.2612 | − | 0.995969i | 0.986301 | − | 0.0484830i | ||||
\(423\) | 0.0784950 | + | 0.292947i | 0.00381656 | + | 0.0142436i | ||||
\(424\) | 0.280854 | + | 1.89221i | 0.0136395 | + | 0.0918937i | ||||
\(425\) | −2.52648 | + | 4.37599i | −0.122552 | + | 0.212267i | ||||
\(426\) | 2.13200 | − | 0.685094i | 0.103296 | − | 0.0331929i | ||||
\(427\) | −3.76823 | − | 1.00970i | −0.182358 | − | 0.0488626i | ||||
\(428\) | −27.1026 | − | 12.2781i | −1.31006 | − | 0.593485i | ||||
\(429\) | −2.59789 | − | 5.18770i | −0.125427 | − | 0.250465i | ||||
\(430\) | −6.30695 | + | 29.2058i | −0.304148 | + | 1.40843i | ||||
\(431\) | −7.21241 | + | 26.9171i | −0.347410 | + | 1.29655i | 0.542362 | + | 0.840145i | \(0.317530\pi\) |
−0.889772 | + | 0.456405i | \(0.849137\pi\) | |||||||
\(432\) | 20.7888 | + | 7.05410i | 1.00020 | + | 0.339391i | ||||
\(433\) | −16.8245 | − | 9.71363i | −0.808534 | − | 0.466807i | 0.0379128 | − | 0.999281i | \(-0.487929\pi\) |
−0.846446 | + | 0.532474i | \(0.821262\pi\) | |||||||
\(434\) | −4.94662 | + | 3.18961i | −0.237445 | + | 0.153106i | ||||
\(435\) | −15.3822 | + | 4.12164i | −0.737518 | + | 0.197617i | ||||
\(436\) | 18.3472 | + | 3.02802i | 0.878670 | + | 0.145016i | ||||
\(437\) | 7.17838 | + | 7.17838i | 0.343388 | + | 0.343388i | ||||
\(438\) | −0.142413 | − | 0.129068i | −0.00680476 | − | 0.00616711i | ||||
\(439\) | −8.78301 | − | 15.2126i | −0.419190 | − | 0.726058i | 0.576668 | − | 0.816978i | \(-0.304353\pi\) |
−0.995858 | + | 0.0909201i | \(0.971019\pi\) | |||||||
\(440\) | 3.50456 | + | 4.41491i | 0.167073 | + | 0.210473i | ||||
\(441\) | 2.76248i | 0.131547i | ||||||||
\(442\) | 17.8969 | − | 17.5350i | 0.851268 | − | 0.834056i | ||||
\(443\) | 0.876303i | 0.0416344i | 0.999783 | + | 0.0208172i | \(0.00662680\pi\) | ||||
−0.999783 | + | 0.0208172i | \(0.993373\pi\) | |||||||
\(444\) | 9.54116 | − | 11.6273i | 0.452803 | − | 0.551809i | ||||
\(445\) | −7.40173 | − | 12.8202i | −0.350876 | − | 0.607735i | ||||
\(446\) | 13.7331 | − | 15.1530i | 0.650280 | − | 0.717516i | ||||
\(447\) | −1.59733 | − | 1.59733i | −0.0755513 | − | 0.0755513i | ||||
\(448\) | −2.20897 | − | 3.55091i | −0.104364 | − | 0.167765i | ||||
\(449\) | −20.9697 | + | 5.61882i | −0.989623 | + | 0.265169i | −0.717092 | − | 0.696978i | \(-0.754527\pi\) |
−0.272531 | + | 0.962147i | \(0.587861\pi\) | |||||||
\(450\) | 0.323647 | + | 0.501929i | 0.0152569 | + | 0.0236612i | ||||
\(451\) | −8.54769 | − | 4.93501i | −0.402495 | − | 0.232381i | ||||
\(452\) | 3.25498 | − | 0.320781i | 0.153101 | − | 0.0150883i | ||||
\(453\) | −2.85979 | + | 10.6729i | −0.134365 | + | 0.501456i | ||||
\(454\) | 0.253515 | + | 0.0547462i | 0.0118980 | + | 0.00256936i | ||||
\(455\) | 1.18559 | − | 3.56415i | 0.0555812 | − | 0.167090i | ||||
\(456\) | −9.62617 | − | 7.13793i | −0.450787 | − | 0.334264i | ||||
\(457\) | 15.7633 | + | 4.22375i | 0.737374 | + | 0.197579i | 0.607911 | − | 0.794005i | \(-0.292008\pi\) |
0.129463 | + | 0.991584i | \(0.458674\pi\) | |||||||
\(458\) | 4.97215 | + | 15.4733i | 0.232333 | + | 0.723018i | ||||
\(459\) | 13.4840 | − | 23.3550i | 0.629379 | − | 1.09012i | ||||
\(460\) | 5.41400 | + | 14.3821i | 0.252429 | + | 0.670568i | ||||
\(461\) | 5.22972 | + | 19.5176i | 0.243572 | + | 0.909025i | 0.974096 | + | 0.226137i | \(0.0726097\pi\) |
−0.730523 | + | 0.682888i | \(0.760724\pi\) | |||||||
\(462\) | 0.0584051 | + | 1.18815i | 0.00271725 | + | 0.0552777i | ||||
\(463\) | 19.6059 | − | 19.6059i | 0.911163 | − | 0.911163i | −0.0852007 | − | 0.996364i | \(-0.527153\pi\) |
0.996364 | + | 0.0852007i | \(0.0271532\pi\) | |||||||
\(464\) | 19.4813 | − | 3.87745i | 0.904395 | − | 0.180006i | ||||
\(465\) | −22.1114 | + | 12.7660i | −1.02539 | + | 0.592009i | ||||
\(466\) | 11.8548 | − | 23.0810i | 0.549163 | − | 1.06921i | ||||
\(467\) | −24.8541 | −1.15011 | −0.575055 | − | 0.818115i | \(-0.695019\pi\) | ||||
−0.575055 | + | 0.818115i | \(0.695019\pi\) | |||||||
\(468\) | −0.877142 | − | 2.82851i | −0.0405459 | − | 0.130748i | ||||
\(469\) | −5.70586 | −0.263472 | ||||||||
\(470\) | 0.950941 | − | 1.85146i | 0.0438636 | − | 0.0854014i | ||||
\(471\) | 0.732570 | − | 0.422950i | 0.0337551 | − | 0.0194885i | ||||
\(472\) | −37.3749 | + | 16.2065i | −1.72032 | + | 0.745966i | ||||
\(473\) | −7.49635 | + | 7.49635i | −0.344682 | + | 0.344682i | ||||
\(474\) | −1.48747 | − | 30.2600i | −0.0683220 | − | 1.38989i | ||||
\(475\) | −0.700786 | − | 2.61537i | −0.0321543 | − | 0.120001i | ||||
\(476\) | −4.80789 | + | 1.80988i | −0.220369 | + | 0.0829559i | ||||
\(477\) | 0.138874 | − | 0.240536i | 0.00635859 | − | 0.0110134i | ||||
\(478\) | 4.39766 | + | 13.6855i | 0.201144 | + | 0.625958i | ||||
\(479\) | −5.69689 | − | 1.52648i | −0.260297 | − | 0.0697465i | 0.126310 | − | 0.991991i | \(-0.459687\pi\) |
−0.386608 | + | 0.922244i | \(0.626353\pi\) | |||||||
\(480\) | −8.81445 | − | 15.8554i | −0.402323 | − | 0.723695i | ||||
\(481\) | −16.8212 | − | 0.999158i | −0.766981 | − | 0.0455577i | ||||
\(482\) | 14.2593 | + | 3.07926i | 0.649491 | + | 0.140257i | ||||
\(483\) | −0.839380 | + | 3.13261i | −0.0381931 | + | 0.142539i | ||||
\(484\) | 0.196152 | + | 1.99036i | 0.00891599 | + | 0.0904708i | ||||
\(485\) | 29.5553 | + | 17.0638i | 1.34204 | + | 0.774826i | ||||
\(486\) | −3.24667 | − | 5.03511i | −0.147272 | − | 0.228397i | ||||
\(487\) | −15.6485 | + | 4.19300i | −0.709101 | + | 0.190003i | −0.595303 | − | 0.803501i | \(-0.702968\pi\) |
−0.113797 | + | 0.993504i | \(0.536301\pi\) | |||||||
\(488\) | 19.6317 | + | 7.75589i | 0.888687 | + | 0.351093i | ||||
\(489\) | −2.62607 | − | 2.62607i | −0.118755 | − | 0.118755i | ||||
\(490\) | 12.7314 | − | 14.0478i | 0.575147 | − | 0.634614i | ||||
\(491\) | 9.90859 | + | 17.1622i | 0.447169 | + | 0.774519i | 0.998200 | − | 0.0599655i | \(-0.0190991\pi\) |
−0.551032 | + | 0.834484i | \(0.685766\pi\) | |||||||
\(492\) | 24.5555 | + | 20.1497i | 1.10705 | + | 0.908420i | ||||
\(493\) | − | 24.4011i | − | 1.09897i | ||||||
\(494\) | −0.137105 | + | 13.4253i | −0.00616867 | + | 0.604031i | ||||
\(495\) | − | 0.818428i | − | 0.0367856i | ||||||
\(496\) | 28.5608 | − | 14.0888i | 1.28242 | − | 0.632606i | ||||
\(497\) | 0.257202 | + | 0.445487i | 0.0115371 | + | 0.0199828i | ||||
\(498\) | 7.21386 | + | 6.53787i | 0.323261 | + | 0.292969i | ||||
\(499\) | 11.9997 | + | 11.9997i | 0.537180 | + | 0.537180i | 0.922700 | − | 0.385519i | \(-0.125978\pi\) |
−0.385519 | + | 0.922700i | \(0.625978\pi\) | |||||||
\(500\) | 3.91262 | − | 23.7071i | 0.174978 | − | 1.06021i | ||||
\(501\) | 27.0906 | − | 7.25892i | 1.21032 | − | 0.324304i | ||||
\(502\) | 27.9670 | − | 18.0333i | 1.24823 | − | 0.804865i | ||||
\(503\) | −5.34994 | − | 3.08879i | −0.238542 | − | 0.137722i | 0.375964 | − | 0.926634i | \(-0.377311\pi\) |
−0.614506 | + | 0.788912i | \(0.710645\pi\) | |||||||
\(504\) | −0.0693406 | + | 0.603219i | −0.00308868 | + | 0.0268695i | ||||
\(505\) | −0.0219304 | + | 0.0818453i | −0.000975889 | + | 0.00364207i | ||||
\(506\) | −1.15093 | + | 5.32967i | −0.0511652 | + | 0.236933i | ||||
\(507\) | 12.5305 | − | 16.7507i | 0.556497 | − | 0.743923i | ||||
\(508\) | −15.1398 | + | 33.4196i | −0.671722 | + | 1.48276i | ||||
\(509\) | 9.92839 | + | 2.66030i | 0.440068 | + | 0.117916i | 0.472048 | − | 0.881573i | \(-0.343515\pi\) |
−0.0319803 | + | 0.999488i | \(0.510181\pi\) | |||||||
\(510\) | −21.2164 | + | 6.81765i | −0.939479 | + | 0.301890i | ||||
\(511\) | 0.0220748 | − | 0.0382346i | 0.000976531 | − | 0.00169140i | ||||
\(512\) | 9.67990 | + | 20.4524i | 0.427795 | + | 0.903876i | ||||
\(513\) | 3.74014 | + | 13.9584i | 0.165131 | + | 0.616279i | ||||
\(514\) | −24.7225 | + | 1.21527i | −1.09046 | + | 0.0536033i | ||||
\(515\) | −5.65009 | + | 5.65009i | −0.248973 | + | 0.248973i | ||||
\(516\) | 27.7318 | − | 19.8748i | 1.22083 | − | 0.874940i | ||||
\(517\) | 0.639562 | − | 0.369251i | 0.0281279 | − | 0.0162396i | ||||
\(518\) | 3.07335 | + | 1.57853i | 0.135035 | + | 0.0693564i | ||||
\(519\) | 34.5460 | 1.51640 | ||||||||
\(520\) | −8.57527 | + | 18.4260i | −0.376050 | + | 0.808035i | ||||
\(521\) | 11.7850 | 0.516310 | 0.258155 | − | 0.966103i | \(-0.416885\pi\) | ||||
0.258155 | + | 0.966103i | \(0.416885\pi\) | |||||||
\(522\) | −2.56544 | − | 1.31766i | −0.112286 | − | 0.0576722i | ||||
\(523\) | 22.4153 | − | 12.9415i | 0.980151 | − | 0.565890i | 0.0778351 | − | 0.996966i | \(-0.475199\pi\) |
0.902316 | + | 0.431076i | \(0.141866\pi\) | |||||||
\(524\) | −3.52729 | + | 2.52794i | −0.154090 | + | 0.110433i | ||||
\(525\) | 0.611640 | − | 0.611640i | 0.0266941 | − | 0.0266941i | ||||
\(526\) | 14.2687 | − | 0.701396i | 0.622143 | − | 0.0305823i | ||||
\(527\) | −10.1255 | − | 37.7888i | −0.441073 | − | 1.64611i | ||||
\(528\) | 0.420213 | − | 6.42283i | 0.0182874 | − | 0.279518i | ||||
\(529\) | 4.06750 | − | 7.04511i | 0.176848 | − | 0.306309i | ||||
\(530\) | −1.81476 | + | 0.583151i | −0.0788281 | + | 0.0253305i | ||||
\(531\) | 5.71328 | + | 1.53087i | 0.247935 | + | 0.0664340i | ||||
\(532\) | 1.13595 | − | 2.50749i | 0.0492498 | − | 0.108714i | ||||
\(533\) | 2.11010 | − | 35.5243i | 0.0913984 | − | 1.53873i | ||||
\(534\) | −3.56811 | + | 16.5230i | −0.154407 | + | 0.715018i | ||||
\(535\) | 7.67361 | − | 28.6383i | 0.331759 | − | 1.23814i | ||||
\(536\) | 30.6711 | + | 3.52567i | 1.32479 | + | 0.152286i | ||||
\(537\) | −25.6515 | − | 14.8099i | −1.10695 | − | 0.639095i | ||||
\(538\) | 18.5040 | − | 11.9315i | 0.797763 | − | 0.514403i | ||||
\(539\) | 6.49753 | − | 1.74101i | 0.279869 | − | 0.0749906i | ||||
\(540\) | −3.56208 | + | 21.5831i | −0.153288 | + | 0.928791i | ||||
\(541\) | 10.0989 | + | 10.0989i | 0.434185 | + | 0.434185i | 0.890049 | − | 0.455864i | \(-0.150670\pi\) |
−0.455864 | + | 0.890049i | \(0.650670\pi\) | |||||||
\(542\) | 17.1949 | + | 15.5837i | 0.738585 | + | 0.669375i | ||||
\(543\) | −13.6167 | − | 23.5849i | −0.584350 | − | 1.01212i | ||||
\(544\) | 26.9625 | − | 6.75798i | 1.15601 | − | 0.289746i | ||||
\(545\) | 18.5294i | 0.793712i | ||||||||
\(546\) | −3.73618 | + | 2.10651i | −0.159894 | + | 0.0901502i | ||||
\(547\) | 19.2566i | 0.823352i | 0.911330 | + | 0.411676i | \(0.135056\pi\) | ||||
−0.911330 | + | 0.411676i | \(0.864944\pi\) | |||||||
\(548\) | 13.7405 | + | 11.2752i | 0.586966 | + | 0.481653i | ||||
\(549\) | −1.53240 | − | 2.65419i | −0.0654012 | − | 0.113278i | ||||
\(550\) | 0.976598 | − | 1.07757i | 0.0416423 | − | 0.0459479i | ||||
\(551\) | 9.24564 | + | 9.24564i | 0.393877 | + | 0.393877i | ||||
\(552\) | 6.44763 | − | 16.3203i | 0.274429 | − | 0.694637i | ||||
\(553\) | 6.72225 | − | 1.80122i | 0.285859 | − | 0.0765958i | ||||
\(554\) | −1.27162 | − | 1.97209i | −0.0540259 | − | 0.0837862i | ||||
\(555\) | 12.9796 | + | 7.49378i | 0.550953 | + | 0.318093i | ||||
\(556\) | 2.78431 | + | 28.2525i | 0.118081 | + | 1.19817i | ||||
\(557\) | 3.67043 | − | 13.6982i | 0.155521 | − | 0.580413i | −0.843539 | − | 0.537068i | \(-0.819532\pi\) |
0.999060 | − | 0.0433449i | \(-0.0138014\pi\) | |||||||
\(558\) | −4.51976 | − | 0.976036i | −0.191337 | − | 0.0413189i | ||||
\(559\) | −36.2700 | − | 12.0649i | −1.53406 | − | 0.510292i | ||||
\(560\) | 3.13266 | − | 2.74792i | 0.132379 | − | 0.116121i | ||||
\(561\) | −7.63753 | − | 2.04647i | −0.322457 | − | 0.0864020i | ||||
\(562\) | −1.68871 | − | 5.25524i | −0.0712339 | − | 0.221679i | ||||
\(563\) | 0.847297 | − | 1.46756i | 0.0357093 | − | 0.0618504i | −0.847618 | − | 0.530606i | \(-0.821964\pi\) |
0.883328 | + | 0.468756i | \(0.155298\pi\) | |||||||
\(564\) | −2.22432 | + | 0.837326i | −0.0936609 | + | 0.0352578i | ||||
\(565\) | 0.843528 | + | 3.14809i | 0.0354875 | + | 0.132441i | ||||
\(566\) | −0.0118728 | − | 0.241531i | −0.000499051 | − | 0.0101523i | ||||
\(567\) | −2.80897 | + | 2.80897i | −0.117966 | + | 0.117966i | ||||
\(568\) | −1.10729 | − | 2.55358i | −0.0464607 | − | 0.107146i | ||||
\(569\) | −15.4297 | + | 8.90835i | −0.646847 | + | 0.373457i | −0.787247 | − | 0.616637i | \(-0.788494\pi\) |
0.140400 | + | 0.990095i | \(0.455161\pi\) | |||||||
\(570\) | 5.45574 | − | 10.6222i | 0.228516 | − | 0.444915i | ||||
\(571\) | 31.3670 | 1.31267 | 0.656333 | − | 0.754471i | \(-0.272107\pi\) | ||||
0.656333 | + | 0.754471i | \(0.272107\pi\) | |||||||
\(572\) | −6.10003 | + | 3.84572i | −0.255055 | + | 0.160798i | ||||
\(573\) | −11.1961 | −0.467725 | ||||||||
\(574\) | −3.33365 | + | 6.49053i | −0.139144 | + | 0.270909i | ||||
\(575\) | 3.43355 | − | 1.98236i | 0.143189 | − | 0.0826703i | ||||
\(576\) | 0.745463 | − | 3.19968i | 0.0310609 | − | 0.133320i | ||||
\(577\) | −7.76190 | + | 7.76190i | −0.323132 | + | 0.323132i | −0.849967 | − | 0.526835i | \(-0.823378\pi\) |
0.526835 | + | 0.849967i | \(0.323378\pi\) | |||||||
\(578\) | −0.496119 | − | 10.0927i | −0.0206358 | − | 0.419799i | ||||
\(579\) | −2.92295 | − | 10.9086i | −0.121474 | − | 0.453346i | ||||
\(580\) | 6.97315 | + | 18.5239i | 0.289544 | + | 0.769163i | ||||
\(581\) | −1.11819 | + | 1.93676i | −0.0463902 | + | 0.0803501i | ||||
\(582\) | −11.9220 | − | 37.1012i | −0.494184 | − | 1.53789i | ||||
\(583\) | −0.653280 | − | 0.175046i | −0.0270561 | − | 0.00724966i | ||||
\(584\) | −0.142285 | + | 0.191885i | −0.00588781 | + | 0.00794026i | ||||
\(585\) | 2.63853 | − | 1.32132i | 0.109090 | − | 0.0546298i | ||||
\(586\) | 35.1715 | + | 7.59524i | 1.45292 | + | 0.313756i | ||||
\(587\) | −7.30417 | + | 27.2595i | −0.301475 | + | 1.12512i | 0.634462 | + | 0.772954i | \(0.281222\pi\) |
−0.935937 | + | 0.352167i | \(0.885445\pi\) | |||||||
\(588\) | −21.5442 | + | 2.12320i | −0.888466 | + | 0.0875592i | ||||
\(589\) | 18.1549 | + | 10.4817i | 0.748059 | + | 0.431892i | ||||
\(590\) | −21.9979 | − | 34.1155i | −0.905640 | − | 1.40451i | ||||
\(591\) | −28.9957 | + | 7.76936i | −1.19272 | + | 0.319589i | ||||
\(592\) | −15.5450 | − | 10.3842i | −0.638896 | − | 0.426787i | ||||
\(593\) | 19.9229 | + | 19.9229i | 0.818134 | + | 0.818134i | 0.985837 | − | 0.167704i | \(-0.0536352\pi\) |
−0.167704 | + | 0.985837i | \(0.553635\pi\) | |||||||
\(594\) | −5.21217 | + | 5.75108i | −0.213858 | + | 0.235970i | ||||
\(595\) | −2.55952 | − | 4.43322i | −0.104930 | − | 0.181744i | ||||
\(596\) | −1.78104 | + | 2.17047i | −0.0729544 | + | 0.0889059i | ||||
\(597\) | 18.8848i | 0.772902i | ||||||||
\(598\) | −19.0404 | + | 4.89403i | −0.778622 | + | 0.200132i | ||||
\(599\) | − | 13.5315i | − | 0.552880i | −0.961031 | − | 0.276440i | \(-0.910845\pi\) | ||
0.961031 | − | 0.276440i | \(-0.0891548\pi\) | |||||||
\(600\) | −3.66572 | + | 2.90985i | −0.149652 | + | 0.118794i | ||||
\(601\) | 23.1812 | + | 40.1510i | 0.945581 | + | 1.63779i | 0.754584 | + | 0.656204i | \(0.227839\pi\) |
0.190997 | + | 0.981591i | \(0.438828\pi\) | |||||||
\(602\) | 5.80720 | + | 5.26303i | 0.236684 | + | 0.214505i | ||||
\(603\) | −3.16967 | − | 3.16967i | −0.129079 | − | 0.129079i | ||||
\(604\) | 13.5500 | + | 2.23629i | 0.551341 | + | 0.0909933i | ||||
\(605\) | −1.92500 | + | 0.515802i | −0.0782624 | + | 0.0209703i | ||||
\(606\) | 0.0813157 | − | 0.0524329i | 0.00330323 | − | 0.00212994i | ||||
\(607\) | 9.36787 | + | 5.40854i | 0.380230 | + | 0.219526i | 0.677918 | − | 0.735137i | \(-0.262882\pi\) |
−0.297688 | + | 0.954663i | \(0.596216\pi\) | |||||||
\(608\) | −7.65555 | + | 12.7768i | −0.310474 | + | 0.518167i | ||||
\(609\) | −1.08111 | + | 4.03475i | −0.0438087 | + | 0.163496i | ||||
\(610\) | −4.43979 | + | 20.5595i | −0.179762 | + | 0.832429i | ||||
\(611\) | 2.22297 | + | 1.46574i | 0.0899319 | + | 0.0592976i | ||||
\(612\) | −3.67624 | − | 1.66542i | −0.148603 | − | 0.0673208i | ||||
\(613\) | −21.6583 | − | 5.80334i | −0.874772 | − | 0.234395i | −0.206622 | − | 0.978421i | \(-0.566247\pi\) |
−0.668150 | + | 0.744026i | \(0.732914\pi\) | |||||||
\(614\) | 26.7704 | − | 8.60235i | 1.08037 | − | 0.347163i | ||||
\(615\) | −15.8259 | + | 27.4113i | −0.638162 | + | 1.10533i | ||||
\(616\) | 1.46251 | − | 0.217075i | 0.0589263 | − | 0.00874622i | ||||
\(617\) | −0.303979 | − | 1.13447i | −0.0122377 | − | 0.0456718i | 0.959537 | − | 0.281583i | \(-0.0908594\pi\) |
−0.971775 | + | 0.235911i | \(0.924193\pi\) | |||||||
\(618\) | 9.11314 | − | 0.447969i | 0.366584 | − | 0.0180200i | ||||
\(619\) | 32.3813 | − | 32.3813i | 1.30152 | − | 1.30152i | 0.374147 | − | 0.927370i | \(-0.377936\pi\) |
0.927370 | − | 0.374147i | \(-0.122064\pi\) | |||||||
\(620\) | 18.4857 | + | 25.7936i | 0.742404 | + | 1.03589i | ||||
\(621\) | −18.3251 | + | 10.5800i | −0.735361 | + | 0.424561i | ||||
\(622\) | 11.5184 | + | 5.91606i | 0.461846 | + | 0.237212i | ||||
\(623\) | −3.88296 | −0.155567 | ||||||||
\(624\) | 21.3850 | − | 9.01465i | 0.856083 | − | 0.360875i | ||||
\(625\) | 18.8009 | 0.752037 | ||||||||
\(626\) | −5.72085 | − | 2.93833i | −0.228651 | − | 0.117439i | ||||
\(627\) | 3.66930 | − | 2.11847i | 0.146538 | − | 0.0846035i | ||||
\(628\) | −0.612449 | − | 0.854565i | −0.0244394 | − | 0.0341009i | ||||
\(629\) | −16.2387 | + | 16.2387i | −0.647479 | + | 0.647479i | ||||
\(630\) | −0.604307 | + | 0.0297056i | −0.0240762 | + | 0.00118350i | ||||
\(631\) | 9.53975 | + | 35.6028i | 0.379772 | + | 1.41733i | 0.846246 | + | 0.532792i | \(0.178857\pi\) |
−0.466475 | + | 0.884535i | \(0.654476\pi\) | |||||||
\(632\) | −37.2476 | + | 5.52852i | −1.48163 | + | 0.219913i | ||||
\(633\) | 11.5409 | − | 19.9894i | 0.458708 | − | 0.794506i | ||||
\(634\) | −25.8070 | + | 8.29278i | −1.02493 | + | 0.329348i | ||||
\(635\) | −35.3132 | − | 9.46214i | −1.40136 | − | 0.375493i | ||||
\(636\) | 1.98264 | + | 0.898183i | 0.0786169 | + | 0.0356153i | ||||
\(637\) | 16.1028 | + | 18.1366i | 0.638017 | + | 0.718599i | ||||
\(638\) | −1.48238 | + | 6.86453i | −0.0586882 | + | 0.271769i | ||||
\(639\) | −0.104594 | + | 0.390351i | −0.00413769 | + | 0.0154421i | ||||
\(640\) | −18.5372 | + | 12.8354i | −0.732746 | + | 0.507364i | ||||
\(641\) | 31.2097 | + | 18.0189i | 1.23271 | + | 0.711704i | 0.967593 | − | 0.252513i | \(-0.0812571\pi\) |
0.265114 | + | 0.964217i | \(0.414590\pi\) | |||||||
\(642\) | −28.4530 | + | 18.3467i | −1.12295 | + | 0.724086i | ||||
\(643\) | −42.4207 | + | 11.3666i | −1.67291 | + | 0.448254i | −0.965892 | − | 0.258944i | \(-0.916625\pi\) |
−0.707015 | + | 0.707198i | \(0.749959\pi\) | |||||||
\(644\) | 3.97707 | + | 0.656376i | 0.156719 | + | 0.0258648i | ||||
\(645\) | 24.0398 | + | 24.0398i | 0.946564 | + | 0.946564i | ||||
\(646\) | 13.5578 | + | 12.2874i | 0.533426 | + | 0.483440i | ||||
\(647\) | −0.0930004 | − | 0.161081i | −0.00365622 | − | 0.00633276i | 0.864192 | − | 0.503163i | \(-0.167830\pi\) |
−0.867848 | + | 0.496830i | \(0.834497\pi\) | |||||||
\(648\) | 16.8349 | − | 13.3636i | 0.661338 | − | 0.524971i | ||||
\(649\) | − | 14.4028i | − | 0.565360i | ||||||
\(650\) | 5.05066 | + | 1.40876i | 0.198103 | + | 0.0552560i | ||||
\(651\) | 6.69706i | 0.262478i | ||||||||
\(652\) | −2.92810 | + | 3.56832i | −0.114673 | + | 0.139746i | ||||
\(653\) | 9.32020 | + | 16.1431i | 0.364727 | + | 0.631727i | 0.988732 | − | 0.149694i | \(-0.0478288\pi\) |
−0.624005 | + | 0.781420i | \(0.714495\pi\) | |||||||
\(654\) | 14.2087 | − | 15.6778i | 0.555603 | − | 0.613049i | ||||
\(655\) | −3.05768 | − | 3.05768i | −0.119474 | − | 0.119474i | ||||
\(656\) | 21.9301 | − | 32.8291i | 0.856226 | − | 1.28176i | ||||
\(657\) | 0.0335025 | − | 0.00897698i | 0.00130706 | − | 0.000350225i | ||||
\(658\) | −0.295859 | − | 0.458834i | −0.0115338 | − | 0.0178872i | ||||
\(659\) | −39.7827 | − | 22.9686i | −1.54972 | − | 0.894729i | −0.998163 | − | 0.0605884i | \(-0.980702\pi\) |
−0.551553 | − | 0.834140i | \(-0.685964\pi\) | |||||||
\(660\) | 6.38281 | − | 0.629032i | 0.248450 | − | 0.0244850i | ||||
\(661\) | 2.19350 | − | 8.18624i | 0.0853171 | − | 0.318408i | −0.910057 | − | 0.414483i | \(-0.863962\pi\) |
0.995374 | + | 0.0960755i | \(0.0306290\pi\) | |||||||
\(662\) | 32.1791 | + | 6.94902i | 1.25068 | + | 0.270081i | ||||
\(663\) | −5.73285 | − | 27.9266i | −0.222646 | − | 1.08458i | ||||
\(664\) | 7.20739 | − | 9.71984i | 0.279701 | − | 0.377203i | ||||
\(665\) | 2.64957 | + | 0.709950i | 0.102746 | + | 0.0275307i | ||||
\(666\) | 0.830391 | + | 2.58417i | 0.0321770 | + | 0.100134i | ||||
\(667\) | −9.57295 | + | 16.5808i | −0.370666 | + | 0.642013i | ||||
\(668\) | −12.2809 | − | 32.6238i | −0.475163 | − | 1.26225i | ||||
\(669\) | −6.02244 | − | 22.4761i | −0.232841 | − | 0.868974i | ||||
\(670\) | 1.51040 | + | 30.7264i | 0.0583519 | + | 1.18707i | ||||
\(671\) | −5.27707 | + | 5.27707i | −0.203719 | + | 0.203719i | ||||
\(672\) | −4.75771 | − | 0.0771529i | −0.183533 | − | 0.00297624i | ||||
\(673\) | −10.7168 | + | 6.18737i | −0.413104 | + | 0.238505i | −0.692122 | − | 0.721780i | \(-0.743324\pi\) |
0.279019 | + | 0.960286i | \(0.409991\pi\) | |||||||
\(674\) | 4.18770 | − | 8.15335i | 0.161304 | − | 0.314055i | ||||
\(675\) | 5.64370 | 0.217226 | ||||||||
\(676\) | −22.2465 | − | 13.4571i | −0.855633 | − | 0.517582i | ||||
\(677\) | −17.5580 | −0.674809 | −0.337404 | − | 0.941360i | \(-0.609549\pi\) | ||||
−0.337404 | + | 0.941360i | \(0.609549\pi\) | |||||||
\(678\) | 1.70030 | − | 3.31044i | 0.0652996 | − | 0.127137i | ||||
\(679\) | 7.75238 | − | 4.47584i | 0.297509 | − | 0.171767i | ||||
\(680\) | 11.0191 | + | 25.4117i | 0.422562 | + | 0.974495i | ||||
\(681\) | 0.208672 | − | 0.208672i | 0.00799634 | − | 0.00799634i | ||||
\(682\) | 0.552809 | + | 11.2459i | 0.0211682 | + | 0.430629i | ||||
\(683\) | 0.593475 | + | 2.21488i | 0.0227087 | + | 0.0847500i | 0.976350 | − | 0.216195i | \(-0.0693646\pi\) |
−0.953642 | + | 0.300945i | \(0.902698\pi\) | |||||||
\(684\) | 2.02397 | − | 0.761907i | 0.0773886 | − | 0.0291322i | ||||
\(685\) | −8.85572 | + | 15.3386i | −0.338360 | + | 0.586056i | ||||
\(686\) | −3.10451 | − | 9.66118i | −0.118531 | − | 0.368866i | ||||
\(687\) | 17.8625 | + | 4.78625i | 0.681498 | + | 0.182607i | ||||
\(688\) | −27.9638 | − | 31.8790i | −1.06611 | − | 1.21538i | ||||
\(689\) | −0.490363 | − | 2.38871i | −0.0186813 | − | 0.0910028i | ||||
\(690\) | 17.0915 | + | 3.69089i | 0.650663 | + | 0.140510i | ||||
\(691\) | −6.48677 | + | 24.2089i | −0.246768 | + | 0.920952i | 0.725718 | + | 0.687992i | \(0.241508\pi\) |
−0.972486 | + | 0.232960i | \(0.925159\pi\) | |||||||
\(692\) | −4.21110 | − | 42.7302i | −0.160082 | − | 1.62436i | ||||
\(693\) | −0.185913 | − | 0.107337i | −0.00706227 | − | 0.00407740i | ||||
\(694\) | −20.4098 | − | 31.6527i | −0.774747 | − | 1.20152i | ||||
\(695\) | −27.3247 | + | 7.32164i | −1.03649 | + | 0.277725i | ||||
\(696\) | 8.30445 | − | 21.0203i | 0.314779 | − | 0.796771i | ||||
\(697\) | −34.2940 | − | 34.2940i | −1.29898 | − | 1.29898i | ||||
\(698\) | −15.8325 | + | 17.4695i | −0.599267 | + | 0.661229i | ||||
\(699\) | −14.7619 | − | 25.5684i | −0.558348 | − | 0.967086i | ||||
\(700\) | −0.831100 | − | 0.681984i | −0.0314126 | − | 0.0257766i | ||||
\(701\) | − | 42.5639i | − | 1.60762i | −0.594888 | − | 0.803808i | \(-0.702804\pi\) | ||
0.594888 | − | 0.803808i | \(-0.297196\pi\) | |||||||
\(702\) | −26.9557 | − | 7.51863i | −1.01738 | − | 0.283772i | ||||
\(703\) | − | 12.3058i | − | 0.464121i | ||||||
\(704\) | −7.99567 | + | 0.263168i | −0.301348 | + | 0.00991851i | ||||
\(705\) | −1.18414 | − | 2.05099i | −0.0445972 | − | 0.0772446i | ||||
\(706\) | −32.7867 | − | 29.7144i | −1.23394 | − | 1.11831i | ||||
\(707\) | 0.0157157 | + | 0.0157157i | 0.000591051 | + | 0.000591051i | ||||
\(708\) | −7.54788 | + | 45.7336i | −0.283667 | + | 1.71878i | ||||
\(709\) | −33.3991 | + | 8.94926i | −1.25433 | + | 0.336096i | −0.824007 | − | 0.566579i | \(-0.808266\pi\) |
−0.430321 | + | 0.902676i | \(0.641600\pi\) | |||||||
\(710\) | 2.33089 | − | 1.50298i | 0.0874769 | − | 0.0564057i | ||||
\(711\) | 4.73488 | + | 2.73369i | 0.177572 | + | 0.102521i | ||||
\(712\) | 20.8723 | + | 2.39930i | 0.782224 | + | 0.0899175i | ||||
\(713\) | −7.94480 | + | 29.6504i | −0.297535 | + | 1.11042i | ||||
\(714\) | −1.23385 | + | 5.71364i | −0.0461758 | + | 0.213828i | ||||
\(715\) | −4.77072 | − | 5.37326i | −0.178415 | − | 0.200949i | ||||
\(716\) | −15.1916 | + | 33.5339i | −0.567738 | + | 1.25322i | ||||
\(717\) | 15.7987 | + | 4.23324i | 0.590012 | + | 0.158093i | ||||
\(718\) | 34.5600 | − | 11.1054i | 1.28977 | − | 0.414451i | ||||
\(719\) | 1.77374 | − | 3.07220i | 0.0661492 | − | 0.114574i | −0.831054 | − | 0.556192i | \(-0.812262\pi\) |
0.897203 | + | 0.441618i | \(0.145595\pi\) | |||||||
\(720\) | 3.26673 | + | 0.213726i | 0.121744 | + | 0.00796509i | ||||
\(721\) | 0.542458 | + | 2.02448i | 0.0202022 | + | 0.0753956i | ||||
\(722\) | 17.0448 | − | 0.837862i | 0.634343 | − | 0.0311820i | ||||
\(723\) | 11.7370 | − | 11.7370i | 0.436504 | − | 0.436504i | ||||
\(724\) | −27.5125 | + | 19.7176i | −1.02249 | + | 0.732799i | ||||
\(725\) | 4.42236 | − | 2.55325i | 0.164242 | − | 0.0948254i | ||||
\(726\) | 2.02427 | + | 1.03970i | 0.0751278 | + | 0.0385869i | ||||
\(727\) | −22.3884 | −0.830341 | −0.415170 | − | 0.909744i | \(-0.636278\pi\) | ||||
−0.415170 | + | 0.909744i | \(0.636278\pi\) | |||||||
\(728\) | 3.06099 | + | 4.36453i | 0.113448 | + | 0.161760i | ||||
\(729\) | −29.6149 | −1.09685 | ||||||||
\(730\) | −0.211740 | − | 0.108753i | −0.00783684 | − | 0.00402513i | ||||
\(731\) | −45.1139 | + | 26.0465i | −1.66860 | + | 0.963366i | ||||
\(732\) | 19.5219 | − | 13.9909i | 0.721549 | − | 0.517119i | ||||
\(733\) | 18.4937 | − | 18.4937i | 0.683080 | − | 0.683080i | −0.277613 | − | 0.960693i | \(-0.589543\pi\) |
0.960693 | + | 0.277613i | \(0.0895433\pi\) | |||||||
\(734\) | 1.45183 | − | 0.0713669i | 0.0535881 | − | 0.00263420i | ||||
\(735\) | −5.58318 | − | 20.8367i | −0.205939 | − | 0.768573i | ||||
\(736\) | −20.9726 | − | 5.98571i | −0.773062 | − | 0.220636i | ||||
\(737\) | −5.45763 | + | 9.45290i | −0.201035 | + | 0.348202i | ||||
\(738\) | −5.45743 | + | 1.75368i | −0.200891 | + | 0.0645539i | ||||
\(739\) | 15.0672 | + | 4.03725i | 0.554257 | + | 0.148513i | 0.525066 | − | 0.851061i | \(-0.324040\pi\) |
0.0291902 | + | 0.999574i | \(0.490707\pi\) | |||||||
\(740\) | 7.68692 | − | 16.9681i | 0.282577 | − | 0.623758i | ||||
\(741\) | 12.7537 | + | 8.40927i | 0.468517 | + | 0.308922i | ||||
\(742\) | −0.105538 | + | 0.488720i | −0.00387443 | + | 0.0179415i | ||||
\(743\) | −3.56524 | + | 13.3056i | −0.130796 | + | 0.488137i | −0.999980 | − | 0.00635215i | \(-0.997978\pi\) |
0.869184 | + | 0.494489i | \(0.164645\pi\) | |||||||
\(744\) | 4.13814 | − | 35.9992i | 0.151712 | − | 1.31979i | ||||
\(745\) | −2.42290 | − | 1.39886i | −0.0887680 | − | 0.0512502i | ||||
\(746\) | 12.9834 | − | 8.37178i | 0.475356 | − | 0.306512i | ||||
\(747\) | −1.69705 | + | 0.454724i | −0.0620919 | + | 0.0166375i | ||||
\(748\) | −1.60029 | + | 9.69639i | −0.0585125 | + | 0.354535i | ||||
\(749\) | −5.49905 | − | 5.49905i | −0.200931 | − | 0.200931i | ||||
\(750\) | −20.2578 | − | 18.3596i | −0.739712 | − | 0.670396i | ||||
\(751\) | −16.5706 | − | 28.7011i | −0.604669 | − | 1.04732i | −0.992104 | − | 0.125421i | \(-0.959972\pi\) |
0.387434 | − | 0.921897i | \(-0.373361\pi\) | |||||||
\(752\) | 1.30684 | + | 2.64922i | 0.0476554 | + | 0.0966069i | ||||
\(753\) | − | 37.8635i | − | 1.37982i | ||||||
\(754\) | −24.5238 | + | 6.30344i | −0.893104 | + | 0.229558i | ||||
\(755\) | 13.6846i | 0.498032i | ||||||||
\(756\) | 4.43564 | + | 3.63980i | 0.161323 | + | 0.132378i | ||||
\(757\) | −24.3113 | − | 42.1083i | −0.883608 | − | 1.53045i | −0.847301 | − | 0.531113i | \(-0.821774\pi\) |
−0.0363067 | − | 0.999341i | \(-0.511559\pi\) | |||||||
\(758\) | −21.1731 | + | 23.3623i | −0.769041 | + | 0.848556i | ||||
\(759\) | 4.38693 | + | 4.38693i | 0.159236 | + | 0.159236i | ||||
\(760\) | −13.8037 | − | 5.45343i | −0.500714 | − | 0.197817i | ||||
\(761\) | −40.9838 | + | 10.9816i | −1.48566 | + | 0.398082i | −0.908269 | − | 0.418386i | \(-0.862596\pi\) |
−0.577391 | + | 0.816468i | \(0.695929\pi\) | |||||||
\(762\) | 22.6228 | + | 35.0847i | 0.819539 | + | 1.27098i | ||||
\(763\) | 4.20912 | + | 2.43014i | 0.152380 | + | 0.0879769i | ||||
\(764\) | 1.36479 | + | 13.8486i | 0.0493764 | + | 0.501024i | ||||
\(765\) | 1.04086 | − | 3.88454i | 0.0376324 | − | 0.140446i | ||||
\(766\) | −4.44970 | − | 0.960905i | −0.160774 | − | 0.0347189i | ||||
\(767\) | 46.4333 | − | 23.2528i | 1.67661 | − | 0.839608i | ||||
\(768\) | 25.5268 | + | 3.35453i | 0.921118 | + | 0.121046i | ||||
\(769\) | −4.07272 | − | 1.09128i | −0.146866 | − | 0.0393526i | 0.184637 | − | 0.982807i | \(-0.440889\pi\) |
−0.331503 | + | 0.943454i | \(0.607556\pi\) | |||||||
\(770\) | 0.450725 | + | 1.40265i | 0.0162430 | + | 0.0505480i | ||||
\(771\) | −14.0820 | + | 24.3908i | −0.507152 | + | 0.878413i | ||||
\(772\) | −13.1366 | + | 4.94517i | −0.472798 | + | 0.177980i | ||||
\(773\) | −0.430082 | − | 1.60509i | −0.0154690 | − | 0.0577309i | 0.957760 | − | 0.287569i | \(-0.0928470\pi\) |
−0.973229 | + | 0.229838i | \(0.926180\pi\) | |||||||
\(774\) | 0.302294 | + | 6.14964i | 0.0108657 | + | 0.221044i | ||||
\(775\) | 5.78922 | − | 5.78922i | 0.207955 | − | 0.207955i | ||||
\(776\) | −44.4375 | + | 19.2690i | −1.59521 | + | 0.691718i | ||||
\(777\) | 3.40456 | − | 1.96562i | 0.122138 | − | 0.0705163i | ||||
\(778\) | −18.8257 | + | 36.6532i | −0.674934 | + | 1.31408i | ||||
\(779\) | 25.9882 | 0.931125 | ||||||||
\(780\) | 12.3327 | + | 19.5620i | 0.441582 | + | 0.700431i | ||||
\(781\) | 0.984051 | 0.0352121 | ||||||||
\(782\) | −12.2409 | + | 23.8327i | −0.437733 | + | 0.852256i | ||||
\(783\) | −23.6025 | + | 13.6269i | −0.843483 | + | 0.486985i | ||||
\(784\) | 5.25240 | + | 26.3893i | 0.187586 | + | 0.942476i | ||||
\(785\) | 0.740793 | − | 0.740793i | 0.0264400 | − | 0.0264400i | ||||
\(786\) | 0.242430 | + | 4.93180i | 0.00864718 | + | 0.175911i | ||||
\(787\) | −1.46522 | − | 5.46826i | −0.0522293 | − | 0.194923i | 0.934882 | − | 0.354959i | \(-0.115505\pi\) |
−0.987111 | + | 0.160037i | \(0.948839\pi\) | |||||||
\(788\) | 13.1445 | + | 34.9179i | 0.468254 | + | 1.24390i | ||||
\(789\) | 8.12748 | − | 14.0772i | 0.289346 | − | 0.501162i | ||||
\(790\) | −11.4792 | − | 35.7230i | −0.408410 | − | 1.27097i | ||||
\(791\) | 0.825747 | + | 0.221258i | 0.0293602 | + | 0.00786703i | ||||
\(792\) | 0.933029 | + | 0.691854i | 0.0331537 | + | 0.0245839i | ||||
\(793\) | −25.5323 | − | 8.49313i | −0.906680 | − | 0.301600i | ||||
\(794\) | −35.4370 | − | 7.65256i | −1.25761 | − | 0.271579i | ||||
\(795\) | −0.561348 | + | 2.09498i | −0.0199090 | + | 0.0743013i | ||||
\(796\) | 23.3587 | − | 2.30202i | 0.827928 | − | 0.0815931i | ||||
\(797\) | 11.0901 | + | 6.40290i | 0.392833 | + | 0.226802i | 0.683387 | − | 0.730056i | \(-0.260506\pi\) |
−0.290554 | + | 0.956859i | \(0.593840\pi\) | |||||||
\(798\) | −1.69741 | − | 2.63243i | −0.0600875 | − | 0.0931869i | ||||
\(799\) | 3.50518 | − | 0.939211i | 0.124005 | − | 0.0332269i | ||||
\(800\) | 4.04607 | + | 4.17946i | 0.143050 | + | 0.147766i | ||||
\(801\) | −2.15703 | − | 2.15703i | −0.0762148 | − | 0.0762148i | ||||
\(802\) | −11.3853 | + | 12.5625i | −0.402029 | + | 0.443597i | ||||
\(803\) | −0.0422289 | − | 0.0731426i | −0.00149023 | − | 0.00258115i | ||||
\(804\) | 22.2836 | − | 27.1559i | 0.785882 | − | 0.957715i | ||||
\(805\) | 4.01657i | 0.141566i | ||||||||
\(806\) | −35.3632 | + | 19.9383i | −1.24562 | + | 0.702296i | ||||
\(807\) | − | 25.0519i | − | 0.881869i | ||||||
\(808\) | −0.0747670 | − | 0.0941886i | −0.00263029 | − | 0.00331354i | ||||
\(809\) | 12.7731 | + | 22.1236i | 0.449077 | + | 0.777824i | 0.998326 | − | 0.0578347i | \(-0.0184196\pi\) |
−0.549249 | + | 0.835658i | \(0.685086\pi\) | |||||||
\(810\) | 15.8701 | + | 14.3829i | 0.557617 | + | 0.505365i | ||||
\(811\) | 21.4388 | + | 21.4388i | 0.752818 | + | 0.752818i | 0.975004 | − | 0.222186i | \(-0.0713192\pi\) |
−0.222186 | + | 0.975004i | \(0.571319\pi\) | |||||||
\(812\) | 5.12241 | + | 0.845402i | 0.179761 | + | 0.0296678i | ||||
\(813\) | 25.5048 | − | 6.83399i | 0.894492 | − | 0.239678i | ||||
\(814\) | 5.55480 | − | 3.58177i | 0.194695 | − | 0.125541i | ||||
\(815\) | −3.98332 | − | 2.29977i | −0.139530 | − | 0.0805575i | ||||
\(816\) | 10.1629 | − | 29.9505i | 0.355772 | − | 1.04848i | ||||
\(817\) | 7.22469 | − | 26.9629i | 0.252760 | − | 0.943313i | ||||
\(818\) | 11.4077 | − | 52.8260i | 0.398861 | − | 1.84702i | ||||
\(819\) | 0.0458949 | − | 0.772658i | 0.00160370 | − | 0.0269988i | ||||
\(820\) | 35.8344 | + | 16.2338i | 1.25139 | + | 0.566909i | ||||
\(821\) | −7.87869 | − | 2.11109i | −0.274968 | − | 0.0736775i | 0.118700 | − | 0.992930i | \(-0.462127\pi\) |
−0.393668 | + | 0.919253i | \(0.628794\pi\) | |||||||
\(822\) | 19.2547 | − | 6.18727i | 0.671585 | − | 0.215806i | ||||
\(823\) | 4.36028 | − | 7.55222i | 0.151990 | − | 0.263254i | −0.779969 | − | 0.625818i | \(-0.784765\pi\) |
0.931959 | + | 0.362564i | \(0.118099\pi\) | |||||||
\(824\) | −1.66497 | − | 11.2175i | −0.0580021 | − | 0.390780i | ||||
\(825\) | −0.428273 | − | 1.59834i | −0.0149105 | − | 0.0556469i | ||||
\(826\) | −10.6347 | + | 0.522763i | −0.370028 | + | 0.0181893i | ||||
\(827\) | −20.5196 | + | 20.5196i | −0.713535 | + | 0.713535i | −0.967273 | − | 0.253738i | \(-0.918340\pi\) |
0.253738 | + | 0.967273i | \(0.418340\pi\) | |||||||
\(828\) | 1.84468 | + | 2.57393i | 0.0641071 | + | 0.0894503i | ||||
\(829\) | 31.2312 | − | 18.0314i | 1.08471 | − | 0.626255i | 0.152544 | − | 0.988297i | \(-0.451254\pi\) |
0.932162 | + | 0.362042i | \(0.117920\pi\) | |||||||
\(830\) | 10.7256 | + | 5.50883i | 0.372290 | + | 0.191214i | ||||
\(831\) | −2.66995 | −0.0926195 | ||||||||
\(832\) | −13.7571 | − | 25.3524i | −0.476942 | − | 0.878935i | ||||
\(833\) | 33.0537 | 1.14524 | ||||||||
\(834\) | 28.7339 | + | 14.7582i | 0.994972 | + | 0.511035i | ||||
\(835\) | 30.0815 | − | 17.3676i | 1.04101 | − | 0.601029i | ||||
\(836\) | −3.06764 | − | 4.28035i | −0.106096 | − | 0.148039i | ||||
\(837\) | −30.8975 | + | 30.8975i | −1.06797 | + | 1.06797i | ||||
\(838\) | 28.1869 | − | 1.38556i | 0.973699 | − | 0.0478635i | ||||
\(839\) | −7.69512 | − | 28.7186i | −0.265665 | − | 0.991475i | −0.961842 | − | 0.273605i | \(-0.911784\pi\) |
0.696177 | − | 0.717870i | \(-0.254883\pi\) | |||||||
\(840\) | −0.696131 | − | 4.69008i | −0.0240188 | − | 0.161823i | ||||
\(841\) | 2.17019 | − | 3.75888i | 0.0748341 | − | 0.129616i | ||||
\(842\) | −18.6586 | + | 5.99571i | −0.643017 | + | 0.206626i | ||||
\(843\) | −6.06672 | − | 1.62557i | −0.208949 | − | 0.0559877i | ||||
\(844\) | −26.1318 | − | 11.8383i | −0.899494 | − | 0.407492i | ||||
\(845\) | 9.62073 | − | 24.0552i | 0.330963 | − | 0.827525i | ||||
\(846\) | 0.0905343 | − | 0.419241i | 0.00311263 | − | 0.0144138i | ||||
\(847\) | −0.135295 | + | 0.504929i | −0.00464880 | + | 0.0173496i | ||||
\(848\) | 0.869289 | − | 2.56183i | 0.0298515 | − | 0.0879738i | ||||
\(849\) | −0.238290 | − | 0.137577i | −0.00817810 | − | 0.00472163i | ||||
\(850\) | 6.00570 | − | 3.87252i | 0.205994 | − | 0.132826i | ||||
\(851\) | 17.4051 | − | 4.66368i | 0.596639 | − | 0.159869i | ||||
\(852\) | −3.12468 | − | 0.515698i | −0.107050 | − | 0.0176675i | ||||
\(853\) | −13.1930 | − | 13.1930i | −0.451720 | − | 0.451720i | 0.444205 | − | 0.895925i | \(-0.353486\pi\) |
−0.895925 | + | 0.444205i | \(0.853486\pi\) | |||||||
\(854\) | 4.08799 | + | 3.70492i | 0.139888 | + | 0.126780i | ||||
\(855\) | 1.07748 | + | 1.86625i | 0.0368491 | + | 0.0638244i | ||||
\(856\) | 26.1615 | + | 32.9573i | 0.894183 | + | 1.12646i | ||||
\(857\) | 28.0516i | 0.958223i | 0.877754 | + | 0.479112i | \(0.159041\pi\) | ||||
−0.877754 | + | 0.479112i | \(0.840959\pi\) | |||||||
\(858\) | −0.0837895 | + | 8.20460i | −0.00286053 | + | 0.280101i | ||||
\(859\) | 1.74088i | 0.0593980i | 0.999559 | + | 0.0296990i | \(0.00945487\pi\) | ||||
−0.999559 | + | 0.0296990i | \(0.990545\pi\) | |||||||
\(860\) | 26.8046 | − | 32.6654i | 0.914028 | − | 1.11388i | ||||
\(861\) | 4.15115 | + | 7.19000i | 0.141471 | + | 0.245034i | ||||
\(862\) | 26.4648 | − | 29.2012i | 0.901396 | − | 0.994596i | ||||
\(863\) | 18.3964 | + | 18.3964i | 0.626220 | + | 0.626220i | 0.947115 | − | 0.320895i | \(-0.103984\pi\) |
−0.320895 | + | 0.947115i | \(0.603984\pi\) | |||||||
\(864\) | −21.5941 | − | 22.3060i | −0.734648 | − | 0.758867i | ||||
\(865\) | 41.3271 | − | 11.0735i | 1.40516 | − | 0.376512i | ||||
\(866\) | 14.8888 | + | 23.0903i | 0.505941 | + | 0.784640i | ||||
\(867\) | −9.95724 | − | 5.74882i | −0.338166 | − | 0.195240i | ||||
\(868\) | 8.28365 | − | 0.816362i | 0.281165 | − | 0.0277091i | ||||
\(869\) | 3.44573 | − | 12.8596i | 0.116888 | − | 0.436233i | ||||
\(870\) | 22.0136 | + | 4.75380i | 0.746331 | + | 0.161169i | ||||
\(871\) | −39.2863 | − | 2.33356i | −1.33117 | − | 0.0790696i | ||||
\(872\) | −21.1240 | − | 15.6637i | −0.715348 | − | 0.530440i | ||||
\(873\) | 6.79291 | + | 1.82015i | 0.229905 | + | 0.0616029i | ||||
\(874\) | −4.39218 | − | 13.6684i | −0.148568 | − | 0.462340i | ||||
\(875\) | 3.14007 | − | 5.43877i | 0.106154 | − | 0.183864i | ||||
\(876\) | 0.0957597 | + | 0.254382i | 0.00323542 | + | 0.00859477i | ||||
\(877\) | 9.74175 | + | 36.3567i | 0.328955 | + | 1.22768i | 0.910275 | + | 0.414003i | \(0.135870\pi\) |
−0.581320 | + | 0.813675i | \(0.697464\pi\) | |||||||
\(878\) | 1.21968 | + | 24.8121i | 0.0411621 | + | 0.837369i | ||||
\(879\) | 28.9503 | − | 28.9503i | 0.976468 | − | 0.976468i | ||||
\(880\) | −1.55611 | − | 7.81827i | −0.0524564 | − | 0.263554i | ||||
\(881\) | −19.8782 | + | 11.4767i | −0.669714 | + | 0.386659i | −0.795968 | − | 0.605338i | \(-0.793038\pi\) |
0.126254 | + | 0.991998i | \(0.459704\pi\) | |||||||
\(882\) | 1.78490 | − | 3.47515i | 0.0601007 | − | 0.117015i | ||||
\(883\) | 44.2432 | 1.48890 | 0.744451 | − | 0.667677i | \(-0.232711\pi\) | ||||
0.744451 | + | 0.667677i | \(0.232711\pi\) | |||||||
\(884\) | −33.8438 | + | 10.4952i | −1.13829 | + | 0.352993i | ||||
\(885\) | −46.1879 | −1.55259 | ||||||||
\(886\) | 0.566199 | − | 1.10238i | 0.0190218 | − | 0.0370351i | ||||
\(887\) | 20.6935 | − | 11.9474i | 0.694819 | − | 0.401154i | −0.110596 | − | 0.993865i | \(-0.535276\pi\) |
0.805415 | + | 0.592712i | \(0.201943\pi\) | |||||||
\(888\) | −19.5153 | + | 8.46225i | −0.654891 | + | 0.283975i | ||||
\(889\) | −6.78075 | + | 6.78075i | −0.227419 | + | 0.227419i | ||||
\(890\) | 1.02786 | + | 20.9100i | 0.0344540 | + | 0.700905i | ||||
\(891\) | 1.96685 | + | 7.34040i | 0.0658921 | + | 0.245913i | ||||
\(892\) | −27.0667 | + | 10.1890i | −0.906260 | + | 0.341153i | ||||
\(893\) | −0.972255 | + | 1.68400i | −0.0325353 | + | 0.0563528i | ||||
\(894\) | 0.977349 | + | 3.04150i | 0.0326874 | + | 0.101723i | ||||
\(895\) | −35.4340 | − | 9.49450i | −1.18443 | − | 0.317366i | ||||
\(896\) | 0.484527 | + | 5.89425i | 0.0161869 | + | 0.196913i | ||||
\(897\) | −7.06052 | + | 21.2256i | −0.235744 | + | 0.708701i | ||||
\(898\) | 30.0101 | + | 6.48062i | 1.00145 | + | 0.216261i | ||||
\(899\) | −10.2328 | + | 38.1893i | −0.341282 | + | 1.27368i | ||||
\(900\) | −0.0828355 | − | 0.840535i | −0.00276118 | − | 0.0280178i | ||||
\(901\) | −2.87807 | − | 1.66166i | −0.0958825 | − | 0.0553578i | ||||
\(902\) | 7.56424 | + | 11.7310i | 0.251862 | + | 0.390600i | ||||
\(903\) | 8.61367 | − | 2.30803i | 0.286645 | − | 0.0768063i | ||||
\(904\) | −4.30197 | − | 1.69958i | −0.143082 | − | 0.0565271i | ||||
\(905\) | −23.8496 | − | 23.8496i | −0.792788 | − | 0.792788i | ||||
\(906\) | 10.4936 | − | 11.5785i | 0.348625 | − | 0.384672i | ||||
\(907\) | 15.7893 | + | 27.3478i | 0.524274 | + | 0.908069i | 0.999601 | + | 0.0282597i | \(0.00899654\pi\) |
−0.475327 | + | 0.879809i | \(0.657670\pi\) | |||||||
\(908\) | −0.283545 | − | 0.232672i | −0.00940978 | − | 0.00772148i | ||||
\(909\) | 0.0174605i | 0.000579129i | ||||||||
\(910\) | −3.79433 | + | 3.71761i | −0.125781 | + | 0.123238i | ||||
\(911\) | − | 55.9196i | − | 1.85270i | −0.376664 | − | 0.926350i | \(-0.622929\pi\) | ||
0.376664 | − | 0.926350i | \(-0.377071\pi\) | |||||||
\(912\) | 7.49760 | + | 15.1991i | 0.248270 | + | 0.503292i | ||||
\(913\) | 2.13908 | + | 3.70500i | 0.0707933 | + | 0.122618i | ||||
\(914\) | −17.1009 | − | 15.4984i | −0.565647 | − | 0.512642i | ||||
\(915\) | 16.9228 | + | 16.9228i | 0.559452 | + | 0.559452i | ||||
\(916\) | 3.74274 | − | 22.6778i | 0.123664 | − | 0.749294i | ||||
\(917\) | −1.09560 | + | 0.293564i | −0.0361798 | + | 0.00969435i | ||||
\(918\) | −32.0529 | + | 20.6679i | −1.05790 | + | 0.682142i | ||||
\(919\) | 30.7066 | + | 17.7285i | 1.01292 | + | 0.584808i | 0.912044 | − | 0.410091i | \(-0.134503\pi\) |
0.100873 | + | 0.994899i | \(0.467837\pi\) | |||||||
\(920\) | 2.48186 | − | 21.5906i | 0.0818244 | − | 0.711820i | ||||
\(921\) | 8.28073 | − | 30.9041i | 0.272859 | − | 1.01832i | ||||
\(922\) | 6.03184 | − | 27.9319i | 0.198648 | − | 0.919887i | ||||
\(923\) | 1.58871 | + | 3.17248i | 0.0522930 | + | 0.104424i | ||||
\(924\) | 0.694217 | − | 1.53241i | 0.0228381 | − | 0.0504126i | ||||
\(925\) | −4.64221 | − | 1.24388i | −0.152635 | − | 0.0408984i | ||||
\(926\) | −37.3317 | + | 11.9961i | −1.22680 | + | 0.394216i | ||||
\(927\) | −0.823279 | + | 1.42596i | −0.0270400 | + | 0.0468347i | ||||
\(928\) | −27.0124 | − | 7.70950i | −0.886727 | − | 0.253077i | ||||
\(929\) | −9.64246 | − | 35.9861i | −0.316359 | − | 1.18067i | −0.922718 | − | 0.385476i | \(-0.874037\pi\) |
0.606359 | − | 0.795191i | \(-0.292629\pi\) | |||||||
\(930\) | 36.0641 | − | 1.77278i | 1.18259 | − | 0.0581319i | ||||
\(931\) | −12.5242 | + | 12.5242i | −0.410463 | + | 0.410463i | ||||
\(932\) | −29.8263 | + | 21.3759i | −0.976994 | + | 0.700191i | ||||
\(933\) | 12.7597 | − | 7.36684i | 0.417735 | − | 0.241179i | ||||
\(934\) | 31.2661 | + | 16.0588i | 1.02306 | + | 0.525460i | ||||
\(935\) | −9.79270 | −0.320255 | ||||||||
\(936\) | −0.724130 | + | 4.12496i | −0.0236689 | + | 0.134829i | ||||
\(937\) | 45.7168 | 1.49350 | 0.746751 | − | 0.665104i | \(-0.231613\pi\) | ||||
0.746751 | + | 0.665104i | \(0.231613\pi\) | |||||||
\(938\) | 7.17788 | + | 3.68668i | 0.234366 | + | 0.120374i | ||||
\(939\) | −6.33738 | + | 3.65889i | −0.206813 | + | 0.119403i | ||||
\(940\) | −2.39254 | + | 1.71468i | −0.0780360 | + | 0.0559268i | ||||
\(941\) | −9.36557 | + | 9.36557i | −0.305309 | + | 0.305309i | −0.843087 | − | 0.537778i | \(-0.819264\pi\) |
0.537778 | + | 0.843087i | \(0.319264\pi\) | |||||||
\(942\) | −1.19484 | + | 0.0587340i | −0.0389300 | + | 0.00191366i | ||||
\(943\) | 9.84911 | + | 36.7574i | 0.320731 | + | 1.19698i | ||||
\(944\) | 57.4884 | + | 3.76118i | 1.87109 | + | 0.122416i | ||||
\(945\) | −2.85875 | + | 4.95150i | −0.0929952 | + | 0.161072i | ||||
\(946\) | 14.2738 | − | 4.58673i | 0.464083 | − | 0.149127i | ||||
\(947\) | −43.8511 | − | 11.7499i | −1.42497 | − | 0.381819i | −0.537725 | − | 0.843120i | \(-0.680716\pi\) |
−0.887244 | + | 0.461301i | \(0.847383\pi\) | |||||||
\(948\) | −17.6805 | + | 39.0277i | −0.574235 | + | 1.26756i | ||||
\(949\) | 0.167628 | − | 0.254227i | 0.00544143 | − | 0.00825257i | ||||
\(950\) | −0.808271 | + | 3.74289i | −0.0262238 | + | 0.121435i | ||||
\(951\) | −7.98273 | + | 29.7919i | −0.258858 | + | 0.966070i | ||||
\(952\) | 7.21766 | + | 0.829677i | 0.233926 | + | 0.0268900i | ||||
\(953\) | −16.1377 | − | 9.31712i | −0.522752 | − | 0.301811i | 0.215308 | − | 0.976546i | \(-0.430925\pi\) |
−0.738060 | + | 0.674735i | \(0.764258\pi\) | |||||||
\(954\) | −0.330117 | + | 0.212861i | −0.0106879 | + | 0.00689164i | ||||
\(955\) | −13.3938 | + | 3.58887i | −0.433414 | + | 0.116133i | ||||
\(956\) | 3.31029 | − | 20.0575i | 0.107063 | − | 0.648706i | ||||
\(957\) | 5.65030 | + | 5.65030i | 0.182648 | + | 0.182648i | ||||
\(958\) | 6.18031 | + | 5.60117i | 0.199677 | + | 0.180966i | ||||
\(959\) | 2.32286 | + | 4.02331i | 0.0750091 | + | 0.129920i | ||||
\(960\) | 0.843943 | + | 25.6410i | 0.0272381 | + | 0.827560i | ||||
\(961\) | 32.3882i | 1.04478i | ||||||||
\(962\) | 20.5152 | + | 12.1255i | 0.661438 | + | 0.390941i | ||||
\(963\) | − | 6.10957i | − | 0.196878i | ||||||
\(964\) | −15.9483 | − | 13.0869i | −0.513662 | − | 0.421500i | ||||
\(965\) | −6.99341 | − | 12.1129i | −0.225126 | − | 0.389929i | ||||
\(966\) | 3.07998 | − | 3.39843i | 0.0990966 | − | 0.109343i | ||||
\(967\) | −2.18567 | − | 2.18567i | −0.0702863 | − | 0.0702863i | 0.671090 | − | 0.741376i | \(-0.265827\pi\) |
−0.741376 | + | 0.671090i | \(0.765827\pi\) | |||||||
\(968\) | 1.03926 | − | 2.63058i | 0.0334031 | − | 0.0845500i | ||||
\(969\) | 20.1100 | − | 5.38845i | 0.646025 | − | 0.173102i | ||||
\(970\) | −26.1548 | − | 40.5623i | −0.839781 | − | 1.30238i | ||||
\(971\) | −47.8924 | − | 27.6507i | −1.53694 | − | 0.887353i | −0.999016 | − | 0.0443603i | \(-0.985875\pi\) |
−0.537925 | − | 0.842993i | \(-0.680792\pi\) | |||||||
\(972\) | 0.830966 | + | 8.43184i | 0.0266532 | + | 0.270451i | ||||
\(973\) | −1.92047 | + | 7.16729i | −0.0615675 | + | 0.229773i | ||||
\(974\) | 22.3948 | + | 4.83611i | 0.717574 | + | 0.154959i | ||||
\(975\) | 4.46145 | − | 3.96115i | 0.142881 | − | 0.126858i | ||||
\(976\) | −19.6852 | − | 22.4413i | −0.630107 | − | 0.718329i | ||||
\(977\) | −11.5942 | − | 3.10666i | −0.370932 | − | 0.0993909i | 0.0685374 | − | 0.997649i | \(-0.478167\pi\) |
−0.439469 | + | 0.898258i | \(0.644833\pi\) | |||||||
\(978\) | 1.60679 | + | 5.00032i | 0.0513796 | + | 0.159893i | ||||
\(979\) | −3.71404 | + | 6.43291i | −0.118701 | + | 0.205597i | ||||
\(980\) | −25.0925 | + | 9.44584i | −0.801551 | + | 0.301736i | ||||
\(981\) | 0.988245 | + | 3.68818i | 0.0315522 | + | 0.117755i | ||||
\(982\) | −1.37598 | − | 27.9919i | −0.0439094 | − | 0.893259i | ||||
\(983\) | −20.2043 | + | 20.2043i | −0.644419 | + | 0.644419i | −0.951639 | − | 0.307220i | \(-0.900601\pi\) |
0.307220 | + | 0.951639i | \(0.400601\pi\) | |||||||
\(984\) | −17.8712 | − | 41.2139i | −0.569713 | − | 1.31385i | ||||
\(985\) | −32.1968 | + | 18.5888i | −1.02588 | + | 0.592290i | ||||
\(986\) | −15.7661 | + | 30.6962i | −0.502094 | + | 0.977565i | ||||
\(987\) | −0.621200 | −0.0197730 | ||||||||
\(988\) | 8.84684 | − | 16.8002i | 0.281455 | − | 0.534485i | ||||
\(989\) | 40.8740 | 1.29972 | ||||||||
\(990\) | −0.528805 | + | 1.02957i | −0.0168065 | + | 0.0327219i | ||||
\(991\) | 31.5447 | − | 18.2123i | 1.00205 | − | 0.578534i | 0.0931957 | − | 0.995648i | \(-0.470292\pi\) |
0.908854 | + | 0.417114i | \(0.136958\pi\) | |||||||
\(992\) | −45.0321 | − | 0.730258i | −1.42977 | − | 0.0231857i | ||||
\(993\) | 26.4871 | − | 26.4871i | 0.840543 | − | 0.840543i | ||||
\(994\) | −0.0357170 | − | 0.726599i | −0.00113288 | − | 0.0230463i | ||||
\(995\) | 6.05342 | + | 22.5917i | 0.191906 | + | 0.716204i | ||||
\(996\) | −4.85066 | − | 12.8856i | −0.153699 | − | 0.408295i | ||||
\(997\) | 5.95763 | − | 10.3189i | 0.188680 | − | 0.326803i | −0.756130 | − | 0.654421i | \(-0.772912\pi\) |
0.944810 | + | 0.327618i | \(0.106246\pi\) | |||||||
\(998\) | −7.34216 | − | 22.8487i | −0.232412 | − | 0.723264i | ||||
\(999\) | 24.7758 | + | 6.63865i | 0.783871 | + | 0.210038i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 572.2.bf.a.67.11 | yes | 280 | |
4.3 | odd | 2 | inner | 572.2.bf.a.67.2 | ✓ | 280 | |
13.7 | odd | 12 | inner | 572.2.bf.a.111.2 | yes | 280 | |
52.7 | even | 12 | inner | 572.2.bf.a.111.11 | yes | 280 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
572.2.bf.a.67.2 | ✓ | 280 | 4.3 | odd | 2 | inner | |
572.2.bf.a.67.11 | yes | 280 | 1.1 | even | 1 | trivial | |
572.2.bf.a.111.2 | yes | 280 | 13.7 | odd | 12 | inner | |
572.2.bf.a.111.11 | yes | 280 | 52.7 | even | 12 | inner |