Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(34,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 11, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.34");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.r (of order \(22\), degree \(10\), 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: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(320\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 34.17 | ||
Character | \(\chi\) | \(=\) | 483.34 |
Dual form | 483.2.r.a.412.17 |
$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{9}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0475988 | − | 0.0305899i | 0.0336575 | − | 0.0216303i | −0.523704 | − | 0.851900i | \(-0.675450\pi\) |
0.557361 | + | 0.830270i | \(0.311814\pi\) | |||||||
\(3\) | −0.989821 | − | 0.142315i | −0.571474 | − | 0.0821655i | ||||
\(4\) | −0.829500 | + | 1.81635i | −0.414750 | + | 0.908176i | ||||
\(5\) | 1.34994 | − | 0.396378i | 0.603711 | − | 0.177265i | 0.0344279 | − | 0.999407i | \(-0.489039\pi\) |
0.569283 | + | 0.822142i | \(0.307221\pi\) | |||||||
\(6\) | −0.0514677 | + | 0.0235045i | −0.0210116 | + | 0.00959568i | ||||
\(7\) | −1.67496 | − | 2.04805i | −0.633075 | − | 0.774091i | ||||
\(8\) | 0.0321834 | + | 0.223840i | 0.0113785 | + | 0.0791395i | ||||
\(9\) | 0.959493 | + | 0.281733i | 0.319831 | + | 0.0939109i | ||||
\(10\) | 0.0521303 | − | 0.0601616i | 0.0164851 | − | 0.0190248i | ||||
\(11\) | −2.64854 | + | 4.12121i | −0.798566 | + | 1.24259i | 0.167902 | + | 0.985804i | \(0.446301\pi\) |
−0.966467 | + | 0.256789i | \(0.917335\pi\) | |||||||
\(12\) | 1.07955 | − | 1.67981i | 0.311639 | − | 0.484920i | ||||
\(13\) | 5.25957 | + | 4.55745i | 1.45874 | + | 1.26401i | 0.900875 | + | 0.434079i | \(0.142926\pi\) |
0.557869 | + | 0.829929i | \(0.311619\pi\) | |||||||
\(14\) | −0.142376 | − | 0.0462480i | −0.0380515 | − | 0.0123603i | ||||
\(15\) | −1.39261 | + | 0.200227i | −0.359570 | + | 0.0516984i | ||||
\(16\) | −2.60687 | − | 3.00849i | −0.651718 | − | 0.752122i | ||||
\(17\) | −2.10466 | − | 4.60856i | −0.510455 | − | 1.11774i | −0.972928 | − | 0.231107i | \(-0.925765\pi\) |
0.462474 | − | 0.886633i | \(-0.346962\pi\) | |||||||
\(18\) | 0.0542889 | − | 0.0159407i | 0.0127960 | − | 0.00375725i | ||||
\(19\) | −2.25637 | + | 4.94077i | −0.517647 | + | 1.13349i | 0.452675 | + | 0.891675i | \(0.350470\pi\) |
−0.970323 | + | 0.241814i | \(0.922258\pi\) | |||||||
\(20\) | −0.399813 | + | 2.78076i | −0.0894008 | + | 0.621797i | ||||
\(21\) | 1.36644 | + | 2.26558i | 0.298182 | + | 0.494389i | ||||
\(22\) | 0.277184i | 0.0590958i | ||||||||
\(23\) | −2.49928 | + | 4.09311i | −0.521137 | + | 0.853473i | ||||
\(24\) | − | 0.226142i | − | 0.0461611i | ||||||
\(25\) | −2.54105 | + | 1.63303i | −0.508210 | + | 0.326607i | ||||
\(26\) | 0.389762 | + | 0.0560393i | 0.0764385 | + | 0.0109902i | ||||
\(27\) | −0.909632 | − | 0.415415i | −0.175059 | − | 0.0799467i | ||||
\(28\) | 5.10936 | − | 1.34346i | 0.965578 | − | 0.253889i | ||||
\(29\) | 2.06655 | + | 4.52510i | 0.383748 | + | 0.840290i | 0.998663 | + | 0.0516971i | \(0.0164630\pi\) |
−0.614915 | + | 0.788593i | \(0.710810\pi\) | |||||||
\(30\) | −0.0601616 | + | 0.0521303i | −0.0109840 | + | 0.00951765i | ||||
\(31\) | −6.92521 | + | 0.995695i | −1.24380 | + | 0.178832i | −0.732619 | − | 0.680639i | \(-0.761702\pi\) |
−0.511185 | + | 0.859471i | \(0.670793\pi\) | |||||||
\(32\) | −0.650077 | − | 0.190880i | −0.114919 | − | 0.0337431i | ||||
\(33\) | 3.20809 | − | 3.70234i | 0.558458 | − | 0.644494i | ||||
\(34\) | −0.241155 | − | 0.154981i | −0.0413577 | − | 0.0265790i | ||||
\(35\) | −3.07289 | − | 2.10083i | −0.519414 | − | 0.355105i | ||||
\(36\) | −1.30763 | + | 1.50908i | −0.217938 | + | 0.251513i | ||||
\(37\) | −1.69673 | + | 5.77852i | −0.278940 | + | 0.949983i | 0.694202 | + | 0.719780i | \(0.255757\pi\) |
−0.973143 | + | 0.230203i | \(0.926061\pi\) | |||||||
\(38\) | 0.0437369 | + | 0.304197i | 0.00709507 | + | 0.0493473i | ||||
\(39\) | −4.55745 | − | 5.25957i | −0.729776 | − | 0.842206i | ||||
\(40\) | 0.132171 | + | 0.289414i | 0.0208981 | + | 0.0457604i | ||||
\(41\) | −1.55515 | − | 5.29634i | −0.242873 | − | 0.827150i | −0.987221 | − | 0.159358i | \(-0.949058\pi\) |
0.744348 | − | 0.667792i | \(-0.232760\pi\) | |||||||
\(42\) | 0.134345 | + | 0.0660395i | 0.0207299 | + | 0.0101901i | ||||
\(43\) | 4.87023 | + | 0.700234i | 0.742704 | + | 0.106785i | 0.503271 | − | 0.864128i | \(-0.332130\pi\) |
0.239432 | + | 0.970913i | \(0.423039\pi\) | |||||||
\(44\) | −5.28861 | − | 8.22923i | −0.797288 | − | 1.24060i | ||||
\(45\) | 1.40693 | 0.209733 | ||||||||
\(46\) | 0.00624494 | + | 0.271280i | 0.000920766 | + | 0.0399981i | ||||
\(47\) | 1.42033i | 0.207176i | 0.994620 | + | 0.103588i | \(0.0330323\pi\) | ||||
−0.994620 | + | 0.103588i | \(0.966968\pi\) | |||||||
\(48\) | 2.15218 | + | 3.34886i | 0.310641 | + | 0.483367i | ||||
\(49\) | −1.38903 | + | 6.86080i | −0.198433 | + | 0.980115i | ||||
\(50\) | −0.0709966 | + | 0.155461i | −0.0100404 | + | 0.0219855i | ||||
\(51\) | 1.42737 | + | 4.86117i | 0.199872 | + | 0.680701i | ||||
\(52\) | −12.6407 | + | 5.77284i | −1.75296 | + | 0.800548i | ||||
\(53\) | 9.48338 | − | 8.21740i | 1.30264 | − | 1.12875i | 0.319169 | − | 0.947698i | \(-0.396596\pi\) |
0.983474 | − | 0.181049i | \(-0.0579491\pi\) | |||||||
\(54\) | −0.0560049 | + | 0.00805229i | −0.00762131 | + | 0.00109578i | ||||
\(55\) | −1.94181 | + | 6.61321i | −0.261834 | + | 0.891725i | ||||
\(56\) | 0.404531 | − | 0.440837i | 0.0540577 | − | 0.0589093i | ||||
\(57\) | 2.93655 | − | 4.56936i | 0.388956 | − | 0.605227i | ||||
\(58\) | 0.236788 | + | 0.152174i | 0.0310917 | + | 0.0199814i | ||||
\(59\) | 4.73297 | + | 4.10114i | 0.616181 | + | 0.533924i | 0.906065 | − | 0.423138i | \(-0.139071\pi\) |
−0.289885 | + | 0.957062i | \(0.593617\pi\) | |||||||
\(60\) | 0.791486 | − | 2.69556i | 0.102180 | − | 0.347995i | ||||
\(61\) | 0.654784 | + | 4.55412i | 0.0838365 | + | 0.583096i | 0.987829 | + | 0.155547i | \(0.0497139\pi\) |
−0.903992 | + | 0.427549i | \(0.859377\pi\) | |||||||
\(62\) | −0.299174 | + | 0.259236i | −0.0379951 | + | 0.0329229i | ||||
\(63\) | −1.03011 | − | 2.43698i | −0.129781 | − | 0.307031i | ||||
\(64\) | 7.60232 | − | 2.23224i | 0.950290 | − | 0.279030i | ||||
\(65\) | 8.90657 | + | 4.06750i | 1.10472 | + | 0.504511i | ||||
\(66\) | 0.0394474 | − | 0.274362i | 0.00485563 | − | 0.0337717i | ||||
\(67\) | 2.14755 | + | 3.34165i | 0.262364 | + | 0.408247i | 0.947296 | − | 0.320361i | \(-0.103804\pi\) |
−0.684931 | + | 0.728608i | \(0.740168\pi\) | |||||||
\(68\) | 10.1166 | 1.22682 | ||||||||
\(69\) | 3.05636 | − | 3.69577i | 0.367942 | − | 0.444918i | ||||
\(70\) | −0.210530 | − | 0.00599740i | −0.0251632 | − | 0.000716827i | ||||
\(71\) | 4.34704 | − | 2.79367i | 0.515899 | − | 0.331548i | −0.256649 | − | 0.966505i | \(-0.582618\pi\) |
0.772548 | + | 0.634957i | \(0.218982\pi\) | |||||||
\(72\) | −0.0321834 | + | 0.223840i | −0.00379285 | + | 0.0263798i | ||||
\(73\) | −2.71362 | − | 1.23927i | −0.317605 | − | 0.145045i | 0.250233 | − | 0.968186i | \(-0.419493\pi\) |
−0.567838 | + | 0.823140i | \(0.692220\pi\) | |||||||
\(74\) | 0.0960023 | + | 0.326954i | 0.0111600 | + | 0.0380076i | ||||
\(75\) | 2.74759 | − | 1.25478i | 0.317264 | − | 0.144890i | ||||
\(76\) | −7.10251 | − | 8.19673i | −0.814714 | − | 0.940230i | ||||
\(77\) | 12.8767 | − | 1.47851i | 1.46743 | − | 0.168492i | ||||
\(78\) | −0.377819 | − | 0.110938i | −0.0427796 | − | 0.0125612i | ||||
\(79\) | −3.80573 | − | 3.29769i | −0.428178 | − | 0.371019i | 0.413947 | − | 0.910301i | \(-0.364150\pi\) |
−0.842125 | + | 0.539283i | \(0.818695\pi\) | |||||||
\(80\) | −4.71161 | − | 3.02797i | −0.526774 | − | 0.338537i | ||||
\(81\) | 0.841254 | + | 0.540641i | 0.0934726 | + | 0.0600712i | ||||
\(82\) | −0.236038 | − | 0.204528i | −0.0260660 | − | 0.0225863i | ||||
\(83\) | −2.35211 | − | 0.690642i | −0.258178 | − | 0.0758078i | 0.150082 | − | 0.988674i | \(-0.452046\pi\) |
−0.408260 | + | 0.912866i | \(0.633864\pi\) | |||||||
\(84\) | −5.24855 | + | 0.602643i | −0.572664 | + | 0.0657537i | ||||
\(85\) | −4.66789 | − | 5.38703i | −0.506304 | − | 0.584306i | ||||
\(86\) | 0.253238 | − | 0.115650i | 0.0273073 | − | 0.0124708i | ||||
\(87\) | −1.40152 | − | 4.77314i | −0.150259 | − | 0.511735i | ||||
\(88\) | −1.00773 | − | 0.460216i | −0.107425 | − | 0.0490592i | ||||
\(89\) | 2.06738 | − | 14.3789i | 0.219141 | − | 1.52416i | −0.522077 | − | 0.852898i | \(-0.674843\pi\) |
0.741218 | − | 0.671264i | \(-0.234248\pi\) | |||||||
\(90\) | 0.0669682 | − | 0.0430378i | 0.00705907 | − | 0.00453659i | ||||
\(91\) | 0.524318 | − | 18.4054i | 0.0549634 | − | 1.92941i | ||||
\(92\) | −5.36138 | − | 7.93482i | −0.558962 | − | 0.827262i | ||||
\(93\) | 6.99642 | 0.725495 | ||||||||
\(94\) | 0.0434477 | + | 0.0676059i | 0.00448128 | + | 0.00697301i | ||||
\(95\) | −1.08755 | + | 7.56411i | −0.111581 | + | 0.776061i | ||||
\(96\) | 0.616295 | + | 0.281453i | 0.0629004 | + | 0.0287256i | ||||
\(97\) | −7.20245 | + | 2.11483i | −0.731298 | + | 0.214728i | −0.626122 | − | 0.779725i | \(-0.715359\pi\) |
−0.105176 | + | 0.994454i | \(0.533541\pi\) | |||||||
\(98\) | 0.143755 | + | 0.369056i | 0.0145215 | + | 0.0372803i | ||||
\(99\) | −3.70234 | + | 3.20809i | −0.372099 | + | 0.322426i | ||||
\(100\) | −0.858362 | − | 5.97004i | −0.0858362 | − | 0.597004i | ||||
\(101\) | 0.0261068 | − | 0.0889116i | 0.00259772 | − | 0.00884704i | −0.958184 | − | 0.286153i | \(-0.907623\pi\) |
0.960782 | + | 0.277306i | \(0.0894416\pi\) | |||||||
\(102\) | 0.216644 | + | 0.187723i | 0.0214510 | + | 0.0185874i | ||||
\(103\) | 2.21636 | + | 1.42437i | 0.218384 | + | 0.140347i | 0.645259 | − | 0.763963i | \(-0.276749\pi\) |
−0.426875 | + | 0.904311i | \(0.640386\pi\) | |||||||
\(104\) | −0.850870 | + | 1.32398i | −0.0834347 | + | 0.129827i | ||||
\(105\) | 2.74264 | + | 2.51676i | 0.267654 | + | 0.245611i | ||||
\(106\) | 0.200028 | − | 0.681234i | 0.0194285 | − | 0.0661673i | ||||
\(107\) | 14.7823 | − | 2.12538i | 1.42906 | − | 0.205468i | 0.616047 | − | 0.787710i | \(-0.288733\pi\) |
0.813016 | + | 0.582242i | \(0.197824\pi\) | |||||||
\(108\) | 1.50908 | − | 1.30763i | 0.145211 | − | 0.125826i | ||||
\(109\) | 3.27957 | − | 1.49773i | 0.314126 | − | 0.143457i | −0.252112 | − | 0.967698i | \(-0.581125\pi\) |
0.566239 | + | 0.824241i | \(0.308398\pi\) | |||||||
\(110\) | 0.109869 | + | 0.374181i | 0.0104756 | + | 0.0356768i | ||||
\(111\) | 2.50183 | − | 5.47824i | 0.237463 | − | 0.519971i | ||||
\(112\) | −1.79514 | + | 10.3781i | −0.169625 | + | 0.980638i | ||||
\(113\) | −6.71818 | − | 10.4537i | −0.631993 | − | 0.983400i | −0.998593 | − | 0.0530219i | \(-0.983115\pi\) |
0.366600 | − | 0.930379i | \(-0.380522\pi\) | |||||||
\(114\) | − | 0.307325i | − | 0.0287836i | ||||||
\(115\) | −1.75146 | + | 6.51611i | −0.163325 | + | 0.607631i | ||||
\(116\) | −9.93338 | −0.922291 | ||||||||
\(117\) | 3.76254 | + | 5.85463i | 0.347847 | + | 0.541261i | ||||
\(118\) | 0.350738 | + | 0.0504285i | 0.0322880 | + | 0.00464232i | ||||
\(119\) | −5.91335 | + | 12.0296i | −0.542076 | + | 1.10275i | ||||
\(120\) | −0.0896377 | − | 0.305278i | −0.00818277 | − | 0.0278680i | ||||
\(121\) | −5.40006 | − | 11.8245i | −0.490914 | − | 1.07495i | ||||
\(122\) | 0.170477 | + | 0.196741i | 0.0154343 | + | 0.0178121i | ||||
\(123\) | 0.785569 | + | 5.46375i | 0.0708324 | + | 0.492650i | ||||
\(124\) | 3.93593 | − | 13.4045i | 0.353457 | − | 1.20376i | ||||
\(125\) | −7.38967 | + | 8.52814i | −0.660953 | + | 0.762780i | ||||
\(126\) | −0.123579 | − | 0.0844865i | −0.0110093 | − | 0.00752666i | ||||
\(127\) | 12.1884 | + | 7.83304i | 1.08155 | + | 0.695070i | 0.954915 | − | 0.296880i | \(-0.0959460\pi\) |
0.126635 | + | 0.991949i | \(0.459582\pi\) | |||||||
\(128\) | 1.18094 | − | 1.36288i | 0.104382 | − | 0.120463i | ||||
\(129\) | −4.72101 | − | 1.38621i | −0.415662 | − | 0.122049i | ||||
\(130\) | 0.548367 | − | 0.0788432i | 0.0480950 | − | 0.00691501i | ||||
\(131\) | 4.06816 | − | 3.52508i | 0.355437 | − | 0.307988i | −0.458779 | − | 0.888551i | \(-0.651713\pi\) |
0.814215 | + | 0.580563i | \(0.197167\pi\) | |||||||
\(132\) | 4.06364 | + | 8.89812i | 0.353694 | + | 0.774482i | ||||
\(133\) | 13.8983 | − | 3.65441i | 1.20513 | − | 0.316878i | ||||
\(134\) | 0.204441 | + | 0.0933652i | 0.0176610 | + | 0.00806553i | ||||
\(135\) | −1.39261 | − | 0.200227i | −0.119857 | − | 0.0172328i | ||||
\(136\) | 0.963847 | − | 0.619427i | 0.0826492 | − | 0.0531154i | ||||
\(137\) | − | 8.00576i | − | 0.683978i | −0.939704 | − | 0.341989i | \(-0.888899\pi\) | ||
0.939704 | − | 0.341989i | \(-0.111101\pi\) | |||||||
\(138\) | 0.0324258 | − | 0.269408i | 0.00276027 | − | 0.0229335i | ||||
\(139\) | − | 2.51221i | − | 0.213083i | −0.994308 | − | 0.106541i | \(-0.966022\pi\) | ||
0.994308 | − | 0.106541i | \(-0.0339777\pi\) | |||||||
\(140\) | 6.36481 | − | 3.83882i | 0.537924 | − | 0.324439i | ||||
\(141\) | 0.202133 | − | 1.40587i | 0.0170227 | − | 0.118396i | ||||
\(142\) | 0.121456 | − | 0.265951i | 0.0101923 | − | 0.0223181i | ||||
\(143\) | −32.7124 | + | 9.60524i | −2.73555 | + | 0.803230i | ||||
\(144\) | −1.65368 | − | 3.62106i | −0.137807 | − | 0.301755i | ||||
\(145\) | 4.58336 | + | 5.28948i | 0.380627 | + | 0.439267i | ||||
\(146\) | −0.167074 | + | 0.0240216i | −0.0138272 | + | 0.00198804i | ||||
\(147\) | 2.35128 | − | 6.59329i | 0.193931 | − | 0.543805i | ||||
\(148\) | −9.08839 | − | 7.87514i | −0.747061 | − | 0.647332i | ||||
\(149\) | 0.504008 | − | 0.784251i | 0.0412899 | − | 0.0642484i | −0.819995 | − | 0.572371i | \(-0.806024\pi\) |
0.861285 | + | 0.508122i | \(0.169660\pi\) | |||||||
\(150\) | 0.0923984 | − | 0.143775i | 0.00754430 | − | 0.0117392i | ||||
\(151\) | −0.128273 | + | 0.148035i | −0.0104387 | + | 0.0120469i | −0.760945 | − | 0.648816i | \(-0.775264\pi\) |
0.750506 | + | 0.660863i | \(0.229810\pi\) | |||||||
\(152\) | −1.17856 | − | 0.346057i | −0.0955939 | − | 0.0280689i | ||||
\(153\) | −0.721024 | − | 5.01483i | −0.0582913 | − | 0.405425i | ||||
\(154\) | 0.567686 | − | 0.464271i | 0.0457455 | − | 0.0374120i | ||||
\(155\) | −8.95394 | + | 4.08913i | −0.719198 | + | 0.328447i | ||||
\(156\) | 13.3336 | − | 3.91511i | 1.06755 | − | 0.313460i | ||||
\(157\) | −1.98163 | + | 4.33915i | −0.158151 | + | 0.346302i | −0.972075 | − | 0.234668i | \(-0.924600\pi\) |
0.813925 | + | 0.580971i | \(0.197327\pi\) | |||||||
\(158\) | −0.282024 | − | 0.0405490i | −0.0224367 | − | 0.00322590i | ||||
\(159\) | −10.5563 | + | 6.78413i | −0.837170 | + | 0.538017i | ||||
\(160\) | −0.953225 | −0.0753590 | ||||||||
\(161\) | 12.5691 | − | 1.73713i | 0.990584 | − | 0.136905i | ||||
\(162\) | 0.0565808 | 0.00444541 | ||||||||
\(163\) | −9.63267 | + | 6.19054i | −0.754489 | + | 0.484881i | −0.860479 | − | 0.509487i | \(-0.829835\pi\) |
0.105989 | + | 0.994367i | \(0.466199\pi\) | |||||||
\(164\) | 10.9100 | + | 1.56862i | 0.851929 | + | 0.122489i | ||||
\(165\) | 2.86321 | − | 6.26955i | 0.222900 | − | 0.488084i | ||||
\(166\) | −0.133084 | + | 0.0390771i | −0.0103294 | + | 0.00303297i | ||||
\(167\) | 11.7877 | − | 5.38326i | 0.912160 | − | 0.416570i | 0.0966540 | − | 0.995318i | \(-0.469186\pi\) |
0.815506 | + | 0.578749i | \(0.196459\pi\) | |||||||
\(168\) | −0.463151 | + | 0.378779i | −0.0357329 | + | 0.0292234i | ||||
\(169\) | 5.04271 | + | 35.0728i | 0.387900 | + | 2.69791i | ||||
\(170\) | −0.386975 | − | 0.113626i | −0.0296796 | − | 0.00871472i | ||||
\(171\) | −3.55695 | + | 4.10494i | −0.272007 | + | 0.313912i | ||||
\(172\) | −5.31173 | + | 8.26522i | −0.405016 | + | 0.630217i | ||||
\(173\) | −7.64426 | + | 11.8947i | −0.581182 | + | 0.904337i | −0.999993 | − | 0.00373646i | \(-0.998811\pi\) |
0.418811 | + | 0.908073i | \(0.362447\pi\) | |||||||
\(174\) | −0.212721 | − | 0.184324i | −0.0161263 | − | 0.0139735i | ||||
\(175\) | 7.60069 | + | 2.46894i | 0.574558 | + | 0.186634i | ||||
\(176\) | 19.3030 | − | 2.77536i | 1.45502 | − | 0.209200i | ||||
\(177\) | −4.10114 | − | 4.73297i | −0.308261 | − | 0.355752i | ||||
\(178\) | −0.341445 | − | 0.747661i | −0.0255924 | − | 0.0560395i | ||||
\(179\) | −4.46250 | + | 1.31031i | −0.333543 | + | 0.0979370i | −0.444216 | − | 0.895920i | \(-0.646518\pi\) |
0.110673 | + | 0.993857i | \(0.464699\pi\) | |||||||
\(180\) | −1.16705 | + | 2.55548i | −0.0869866 | + | 0.190474i | ||||
\(181\) | −1.76219 | + | 12.2563i | −0.130983 | + | 0.911005i | 0.813294 | + | 0.581853i | \(0.197672\pi\) |
−0.944277 | + | 0.329152i | \(0.893237\pi\) | |||||||
\(182\) | −0.538063 | − | 0.892115i | −0.0398839 | − | 0.0661280i | ||||
\(183\) | − | 4.60095i | − | 0.340112i | ||||||
\(184\) | −0.996640 | − | 0.427711i | −0.0734733 | − | 0.0315313i | ||||
\(185\) | 8.47319i | 0.622962i | ||||||||
\(186\) | 0.333022 | − | 0.214020i | 0.0244183 | − | 0.0156927i | ||||
\(187\) | 24.5671 | + | 3.53222i | 1.79653 | + | 0.258302i | ||||
\(188\) | −2.57981 | − | 1.17816i | −0.188152 | − | 0.0859262i | ||||
\(189\) | 0.672804 | + | 2.55878i | 0.0489393 | + | 0.186124i | ||||
\(190\) | 0.179619 | + | 0.393311i | 0.0130309 | + | 0.0285338i | ||||
\(191\) | 3.33300 | − | 2.88806i | 0.241167 | − | 0.208973i | −0.525888 | − | 0.850554i | \(-0.676267\pi\) |
0.767055 | + | 0.641581i | \(0.221721\pi\) | |||||||
\(192\) | −7.84262 | + | 1.12760i | −0.565992 | + | 0.0813774i | ||||
\(193\) | 20.6045 | + | 6.05003i | 1.48314 | + | 0.435491i | 0.920347 | − | 0.391104i | \(-0.127907\pi\) |
0.562798 | + | 0.826594i | \(0.309725\pi\) | |||||||
\(194\) | −0.278136 | + | 0.320986i | −0.0199690 | + | 0.0230454i | ||||
\(195\) | −8.23705 | − | 5.29363i | −0.589868 | − | 0.379085i | ||||
\(196\) | −11.3094 | − | 8.21400i | −0.807816 | − | 0.586714i | ||||
\(197\) | −17.0842 | + | 19.7162i | −1.21720 | + | 1.40472i | −0.329587 | + | 0.944125i | \(0.606910\pi\) |
−0.887610 | + | 0.460596i | \(0.847636\pi\) | |||||||
\(198\) | −0.0780917 | + | 0.265956i | −0.00554973 | + | 0.0189007i | ||||
\(199\) | −1.04774 | − | 7.28718i | −0.0742722 | − | 0.516574i | −0.992664 | − | 0.120903i | \(-0.961421\pi\) |
0.918392 | − | 0.395671i | \(-0.129488\pi\) | |||||||
\(200\) | −0.447318 | − | 0.516233i | −0.0316302 | − | 0.0365032i | ||||
\(201\) | −1.65012 | − | 3.61326i | −0.116391 | − | 0.254860i | ||||
\(202\) | −0.00147715 | − | 0.00503069i | −0.000103932 | − | 0.000353958i | ||||
\(203\) | 5.80627 | − | 11.8117i | 0.407520 | − | 0.829022i | ||||
\(204\) | −10.0136 | − | 1.43974i | −0.701093 | − | 0.100802i | ||||
\(205\) | −4.19870 | − | 6.53331i | −0.293250 | − | 0.456306i | ||||
\(206\) | 0.149067 | 0.0103860 | ||||||||
\(207\) | −3.55121 | + | 3.22318i | −0.246826 | + | 0.224027i | ||||
\(208\) | − | 27.7041i | − | 1.92093i | ||||||
\(209\) | −14.3859 | − | 22.3848i | −0.995091 | − | 1.54839i | ||||
\(210\) | 0.207534 | + | 0.0358979i | 0.0143212 | + | 0.00247719i | ||||
\(211\) | 5.24009 | − | 11.4742i | 0.360742 | − | 0.789916i | −0.639042 | − | 0.769171i | \(-0.720669\pi\) |
0.999785 | − | 0.0207441i | \(-0.00660352\pi\) | |||||||
\(212\) | 7.05922 | + | 24.0415i | 0.484829 | + | 1.65118i | ||||
\(213\) | −4.70038 | + | 2.14659i | −0.322064 | + | 0.147082i | ||||
\(214\) | 0.638607 | − | 0.553356i | 0.0436543 | − | 0.0378266i | ||||
\(215\) | 6.85207 | − | 0.985179i | 0.467308 | − | 0.0671887i | ||||
\(216\) | 0.0637116 | − | 0.216982i | 0.00433503 | − | 0.0147637i | ||||
\(217\) | 13.6387 | + | 12.5154i | 0.925854 | + | 0.849603i | ||||
\(218\) | 0.110288 | − | 0.171612i | 0.00746968 | − | 0.0116230i | ||||
\(219\) | 2.50963 | + | 1.61284i | 0.169585 | + | 0.108986i | ||||
\(220\) | −10.4012 | − | 9.01267i | −0.701247 | − | 0.607634i | ||||
\(221\) | 9.93366 | − | 33.8309i | 0.668210 | − | 2.27571i | ||||
\(222\) | −0.0484947 | − | 0.337288i | −0.00325475 | − | 0.0226373i | ||||
\(223\) | 9.94344 | − | 8.61604i | 0.665862 | − | 0.576973i | −0.254962 | − | 0.966951i | \(-0.582063\pi\) |
0.920824 | + | 0.389978i | \(0.127518\pi\) | |||||||
\(224\) | 0.697920 | + | 1.65111i | 0.0466318 | + | 0.110319i | ||||
\(225\) | −2.89820 | + | 0.850988i | −0.193213 | + | 0.0567325i | ||||
\(226\) | −0.639555 | − | 0.292075i | −0.0425426 | − | 0.0194285i | ||||
\(227\) | 0.438918 | − | 3.05274i | 0.0291320 | − | 0.202618i | −0.970057 | − | 0.242876i | \(-0.921909\pi\) |
0.999189 | + | 0.0402586i | \(0.0128182\pi\) | |||||||
\(228\) | 5.86370 | + | 9.12410i | 0.388333 | + | 0.604258i | ||||
\(229\) | 7.24870 | 0.479008 | 0.239504 | − | 0.970895i | \(-0.423015\pi\) | ||||
0.239504 | + | 0.970895i | \(0.423015\pi\) | |||||||
\(230\) | 0.115960 | + | 0.363736i | 0.00764616 | + | 0.0239841i | ||||
\(231\) | −12.9560 | − | 0.369080i | −0.852443 | − | 0.0242837i | ||||
\(232\) | −0.946393 | + | 0.608210i | −0.0621337 | + | 0.0399309i | ||||
\(233\) | −3.67986 | + | 25.5940i | −0.241075 | + | 1.67672i | 0.405677 | + | 0.914016i | \(0.367036\pi\) |
−0.646753 | + | 0.762700i | \(0.723873\pi\) | |||||||
\(234\) | 0.358185 | + | 0.163578i | 0.0234153 | + | 0.0106934i | ||||
\(235\) | 0.562986 | + | 1.91735i | 0.0367251 | + | 0.125074i | ||||
\(236\) | −11.3751 | + | 5.19484i | −0.740457 | + | 0.338156i | ||||
\(237\) | 3.29769 | + | 3.80573i | 0.214208 | + | 0.247209i | ||||
\(238\) | 0.0865156 | + | 0.753483i | 0.00560797 | + | 0.0488411i | ||||
\(239\) | −19.1851 | − | 5.63325i | −1.24098 | − | 0.364384i | −0.405596 | − | 0.914052i | \(-0.632936\pi\) |
−0.835383 | + | 0.549668i | \(0.814754\pi\) | |||||||
\(240\) | 4.23273 | + | 3.66768i | 0.273222 | + | 0.236748i | ||||
\(241\) | 9.63447 | + | 6.19169i | 0.620610 | + | 0.398842i | 0.812823 | − | 0.582511i | \(-0.197930\pi\) |
−0.192212 | + | 0.981353i | \(0.561566\pi\) | |||||||
\(242\) | −0.618746 | − | 0.397644i | −0.0397745 | − | 0.0255615i | ||||
\(243\) | −0.755750 | − | 0.654861i | −0.0484814 | − | 0.0420093i | ||||
\(244\) | −8.81503 | − | 2.58833i | −0.564325 | − | 0.165701i | ||||
\(245\) | 0.844365 | + | 9.81224i | 0.0539445 | + | 0.626881i | ||||
\(246\) | 0.204528 | + | 0.236038i | 0.0130402 | + | 0.0150492i | ||||
\(247\) | −34.3848 | + | 15.7030i | −2.18786 | + | 0.999160i | ||||
\(248\) | −0.445754 | − | 1.51810i | −0.0283054 | − | 0.0963993i | ||||
\(249\) | 2.22988 | + | 1.01835i | 0.141313 | + | 0.0645355i | ||||
\(250\) | −0.0908649 | + | 0.631979i | −0.00574680 | + | 0.0399699i | ||||
\(251\) | 0.966329 | − | 0.621022i | 0.0609942 | − | 0.0391986i | −0.509788 | − | 0.860300i | \(-0.670276\pi\) |
0.570783 | + | 0.821101i | \(0.306640\pi\) | |||||||
\(252\) | 5.28089 | + | 0.150437i | 0.332665 | + | 0.00947667i | ||||
\(253\) | −10.2491 | − | 21.1409i | −0.644357 | − | 1.32912i | ||||
\(254\) | 0.819768 | 0.0514368 | ||||||||
\(255\) | 3.85372 | + | 5.99651i | 0.241329 | + | 0.375516i | ||||
\(256\) | −2.24068 | + | 15.5842i | −0.140042 | + | 0.974015i | ||||
\(257\) | 23.0002 | + | 10.5039i | 1.43472 | + | 0.655212i | 0.972786 | − | 0.231705i | \(-0.0744303\pi\) |
0.461929 | + | 0.886917i | \(0.347158\pi\) | |||||||
\(258\) | −0.267119 | + | 0.0784331i | −0.0166301 | + | 0.00488303i | ||||
\(259\) | 14.6767 | − | 6.20380i | 0.911963 | − | 0.385485i | ||||
\(260\) | −14.7760 | + | 12.8035i | −0.916369 | + | 0.794038i | ||||
\(261\) | 0.707967 | + | 4.92402i | 0.0438220 | + | 0.304789i | ||||
\(262\) | 0.0858077 | − | 0.292234i | 0.00530122 | − | 0.0180543i | ||||
\(263\) | −0.295506 | − | 0.256057i | −0.0182217 | − | 0.0157892i | 0.645702 | − | 0.763589i | \(-0.276565\pi\) |
−0.663924 | + | 0.747800i | \(0.731110\pi\) | |||||||
\(264\) | 0.931981 | + | 0.598948i | 0.0573594 | + | 0.0368627i | ||||
\(265\) | 9.54479 | − | 14.8520i | 0.586332 | − | 0.912350i | ||||
\(266\) | 0.549754 | − | 0.599093i | 0.0337076 | − | 0.0367327i | ||||
\(267\) | −4.09267 | + | 13.9383i | −0.250467 | + | 0.853013i | ||||
\(268\) | −7.85099 | + | 1.12880i | −0.479576 | + | 0.0689526i | ||||
\(269\) | −20.0309 | + | 17.3569i | −1.22131 | + | 1.05827i | −0.224830 | + | 0.974398i | \(0.572183\pi\) |
−0.996477 | + | 0.0838705i | \(0.973272\pi\) | |||||||
\(270\) | −0.0724115 | + | 0.0330692i | −0.00440682 | + | 0.00201253i | ||||
\(271\) | 1.02205 | + | 3.48078i | 0.0620851 | + | 0.211442i | 0.984693 | − | 0.174296i | \(-0.0557649\pi\) |
−0.922608 | + | 0.385738i | \(0.873947\pi\) | |||||||
\(272\) | −8.37823 | + | 18.3458i | −0.508005 | + | 1.11237i | ||||
\(273\) | −3.13834 | + | 18.1435i | −0.189941 | + | 1.09809i | ||||
\(274\) | −0.244895 | − | 0.381065i | −0.0147947 | − | 0.0230210i | ||||
\(275\) | − | 14.7974i | − | 0.892315i | ||||||
\(276\) | 4.17756 | + | 8.61706i | 0.251460 | + | 0.518686i | ||||
\(277\) | −5.81937 | −0.349652 | −0.174826 | − | 0.984599i | \(-0.555936\pi\) | ||||
−0.174826 | + | 0.984599i | \(0.555936\pi\) | |||||||
\(278\) | −0.0768483 | − | 0.119578i | −0.00460905 | − | 0.00717183i | ||||
\(279\) | −6.92521 | − | 0.995695i | −0.414602 | − | 0.0596107i | ||||
\(280\) | 0.371354 | − | 0.755449i | 0.0221926 | − | 0.0451467i | ||||
\(281\) | −1.19587 | − | 4.07275i | −0.0713394 | − | 0.242960i | 0.916102 | − | 0.400945i | \(-0.131318\pi\) |
−0.987441 | + | 0.157985i | \(0.949500\pi\) | |||||||
\(282\) | −0.0333841 | − | 0.0731010i | −0.00198799 | − | 0.00435310i | ||||
\(283\) | 3.90487 | + | 4.50646i | 0.232121 | + | 0.267881i | 0.859846 | − | 0.510553i | \(-0.170559\pi\) |
−0.627726 | + | 0.778435i | \(0.716014\pi\) | |||||||
\(284\) | 1.46842 | + | 10.2131i | 0.0871349 | + | 0.606037i | ||||
\(285\) | 2.15297 | − | 7.33234i | 0.127531 | − | 0.434330i | ||||
\(286\) | −1.26325 | + | 1.45787i | −0.0746975 | + | 0.0862056i | ||||
\(287\) | −8.24238 | + | 12.0562i | −0.486532 | + | 0.711653i | ||||
\(288\) | −0.569967 | − | 0.366296i | −0.0335857 | − | 0.0215842i | ||||
\(289\) | −5.67659 | + | 6.55114i | −0.333917 | + | 0.385361i | ||||
\(290\) | 0.379967 | + | 0.111568i | 0.0223124 | + | 0.00655152i | ||||
\(291\) | 7.43011 | − | 1.06829i | 0.435561 | − | 0.0626242i | ||||
\(292\) | 4.50189 | − | 3.90091i | 0.263453 | − | 0.228284i | ||||
\(293\) | −8.87563 | − | 19.4349i | −0.518520 | − | 1.13540i | −0.969997 | − | 0.243117i | \(-0.921830\pi\) |
0.451477 | − | 0.892283i | \(-0.350897\pi\) | |||||||
\(294\) | −0.0897698 | − | 0.385758i | −0.00523548 | − | 0.0224979i | ||||
\(295\) | 8.01482 | + | 3.66025i | 0.466641 | + | 0.213108i | ||||
\(296\) | −1.34807 | − | 0.193824i | −0.0783552 | − | 0.0112658i | ||||
\(297\) | 4.12121 | − | 2.64854i | 0.239137 | − | 0.153684i | ||||
\(298\) | − | 0.0527470i | − | 0.00305555i | ||||||
\(299\) | −31.7993 | + | 10.1377i | −1.83900 | + | 0.586277i | ||||
\(300\) | 6.03143i | 0.348225i | ||||||||
\(301\) | −6.72332 | − | 11.1474i | −0.387526 | − | 0.642523i | ||||
\(302\) | −0.00157727 | + | 0.0109702i | −9.07619e−5 | + | 0.000631263i | ||||
\(303\) | −0.0384945 | + | 0.0842912i | −0.00221145 | + | 0.00484241i | ||||
\(304\) | 20.7463 | − | 6.09167i | 1.18988 | − | 0.349381i | ||||
\(305\) | 2.68907 | + | 5.88824i | 0.153976 | + | 0.337160i | ||||
\(306\) | −0.187723 | − | 0.216644i | −0.0107314 | − | 0.0123847i | ||||
\(307\) | −14.9964 | + | 2.15615i | −0.855888 | + | 0.123058i | −0.556270 | − | 0.831001i | \(-0.687768\pi\) |
−0.299617 | + | 0.954059i | \(0.596859\pi\) | |||||||
\(308\) | −7.99570 | + | 24.6150i | −0.455597 | + | 1.40257i | ||||
\(309\) | −1.99109 | − | 1.72529i | −0.113269 | − | 0.0981483i | ||||
\(310\) | −0.301111 | + | 0.468538i | −0.0171020 | + | 0.0266112i | ||||
\(311\) | 8.20758 | − | 12.7712i | 0.465409 | − | 0.724191i | −0.526633 | − | 0.850092i | \(-0.676546\pi\) |
0.992043 | + | 0.125901i | \(0.0401823\pi\) | |||||||
\(312\) | 1.03063 | − | 1.18941i | 0.0583480 | − | 0.0673372i | ||||
\(313\) | −16.7901 | − | 4.93001i | −0.949030 | − | 0.278660i | −0.229647 | − | 0.973274i | \(-0.573757\pi\) |
−0.719383 | + | 0.694614i | \(0.755575\pi\) | |||||||
\(314\) | 0.0384113 | + | 0.267156i | 0.00216767 | + | 0.0150765i | ||||
\(315\) | −2.35655 | − | 2.88146i | −0.132776 | − | 0.162352i | ||||
\(316\) | 9.14661 | − | 4.17712i | 0.514537 | − | 0.234981i | ||||
\(317\) | 24.2862 | − | 7.13106i | 1.36405 | − | 0.400521i | 0.483860 | − | 0.875146i | \(-0.339235\pi\) |
0.880188 | + | 0.474625i | \(0.157416\pi\) | |||||||
\(318\) | −0.294942 | + | 0.645833i | −0.0165395 | + | 0.0362165i | ||||
\(319\) | −24.1223 | − | 3.46826i | −1.35059 | − | 0.194185i | ||||
\(320\) | 9.37785 | − | 6.02678i | 0.524238 | − | 0.336907i | ||||
\(321\) | −14.9343 | −0.833554 | ||||||||
\(322\) | 0.545136 | − | 0.467173i | 0.0303792 | − | 0.0260345i | ||||
\(323\) | 27.5187 | 1.53118 | ||||||||
\(324\) | −1.67981 | + | 1.07955i | −0.0933230 | + | 0.0599750i | ||||
\(325\) | −20.8073 | − | 2.99164i | −1.15418 | − | 0.165946i | ||||
\(326\) | −0.269136 | + | 0.589325i | −0.0149061 | + | 0.0326397i | ||||
\(327\) | −3.45934 | + | 1.01575i | −0.191302 | + | 0.0561714i | ||||
\(328\) | 1.13549 | − | 0.518559i | 0.0626967 | − | 0.0286326i | ||||
\(329\) | 2.90890 | − | 2.37899i | 0.160373 | − | 0.131158i | ||||
\(330\) | −0.0554996 | − | 0.386008i | −0.00305515 | − | 0.0212491i | ||||
\(331\) | −11.9778 | − | 3.51699i | −0.658358 | − | 0.193311i | −0.0645454 | − | 0.997915i | \(-0.520560\pi\) |
−0.593813 | + | 0.804603i | \(0.702378\pi\) | |||||||
\(332\) | 3.20553 | − | 3.69937i | 0.175926 | − | 0.203030i | ||||
\(333\) | −3.25600 | + | 5.06643i | −0.178427 | + | 0.277639i | ||||
\(334\) | 0.396407 | − | 0.616822i | 0.0216905 | − | 0.0337510i | ||||
\(335\) | 4.22361 | + | 3.65978i | 0.230760 | + | 0.199955i | ||||
\(336\) | 3.25383 | − | 10.0170i | 0.177511 | − | 0.546472i | ||||
\(337\) | 30.0516 | − | 4.32076i | 1.63701 | − | 0.235367i | 0.738481 | − | 0.674274i | \(-0.235543\pi\) |
0.898532 | + | 0.438907i | \(0.144634\pi\) | |||||||
\(338\) | 1.31290 | + | 1.51517i | 0.0714124 | + | 0.0824143i | ||||
\(339\) | 5.16208 | + | 11.3034i | 0.280366 | + | 0.613915i | ||||
\(340\) | 13.6568 | − | 4.00999i | 0.740642 | − | 0.217472i | ||||
\(341\) | 14.2382 | − | 31.1774i | 0.771044 | − | 1.68835i | ||||
\(342\) | −0.0437369 | + | 0.304197i | −0.00236502 | + | 0.0164491i | ||||
\(343\) | 16.3778 | − | 8.64675i | 0.884320 | − | 0.466881i | ||||
\(344\) | 1.11269i | 0.0599923i | ||||||||
\(345\) | 2.66097 | − | 6.20053i | 0.143262 | − | 0.333825i | ||||
\(346\) | 0.800011i | 0.0430088i | ||||||||
\(347\) | −25.0146 | + | 16.0759i | −1.34285 | + | 0.863000i | −0.997157 | − | 0.0753459i | \(-0.975994\pi\) |
−0.345697 | + | 0.938346i | \(0.612358\pi\) | |||||||
\(348\) | 9.83227 | + | 1.41367i | 0.527065 | + | 0.0757805i | ||||
\(349\) | 5.00591 | + | 2.28612i | 0.267960 | + | 0.122373i | 0.544864 | − | 0.838524i | \(-0.316581\pi\) |
−0.276904 | + | 0.960898i | \(0.589308\pi\) | |||||||
\(350\) | 0.437308 | − | 0.114986i | 0.0233751 | − | 0.00614625i | ||||
\(351\) | −2.89105 | − | 6.33051i | −0.154313 | − | 0.337897i | ||||
\(352\) | 2.50841 | − | 2.17355i | 0.133699 | − | 0.115851i | ||||
\(353\) | 14.9420 | − | 2.14833i | 0.795281 | − | 0.114344i | 0.267314 | − | 0.963609i | \(-0.413864\pi\) |
0.527966 | + | 0.849265i | \(0.322955\pi\) | |||||||
\(354\) | −0.339991 | − | 0.0998303i | −0.0180703 | − | 0.00530592i | ||||
\(355\) | 4.76089 | − | 5.49436i | 0.252682 | − | 0.291610i | ||||
\(356\) | 24.4023 | + | 15.6824i | 1.29332 | + | 0.831166i | ||||
\(357\) | 7.56515 | − | 11.0656i | 0.400390 | − | 0.585653i | ||||
\(358\) | −0.172327 | + | 0.198876i | −0.00910779 | + | 0.0105109i | ||||
\(359\) | 5.41046 | − | 18.4263i | 0.285553 | − | 0.972505i | −0.684378 | − | 0.729127i | \(-0.739926\pi\) |
0.969932 | − | 0.243378i | \(-0.0782554\pi\) | |||||||
\(360\) | 0.0452798 | + | 0.314928i | 0.00238645 | + | 0.0165981i | ||||
\(361\) | −6.87761 | − | 7.93718i | −0.361979 | − | 0.417746i | ||||
\(362\) | 0.291041 | + | 0.637292i | 0.0152968 | + | 0.0334953i | ||||
\(363\) | 3.66229 | + | 12.4726i | 0.192221 | + | 0.654643i | ||||
\(364\) | 32.9958 | + | 16.2196i | 1.72945 | + | 0.850140i | ||||
\(365\) | −4.15444 | − | 0.597318i | −0.217453 | − | 0.0312650i | ||||
\(366\) | −0.140743 | − | 0.219000i | −0.00735674 | − | 0.0114473i | ||||
\(367\) | −22.2547 | −1.16168 | −0.580842 | − | 0.814016i | \(-0.697277\pi\) | ||||
−0.580842 | + | 0.814016i | \(0.697277\pi\) | |||||||
\(368\) | 18.8294 | − | 3.15115i | 0.981550 | − | 0.164265i | ||||
\(369\) | − | 5.51994i | − | 0.287357i | ||||||
\(370\) | 0.259194 | + | 0.403314i | 0.0134749 | + | 0.0209673i | ||||
\(371\) | −32.7139 | − | 5.65866i | −1.69842 | − | 0.293783i | ||||
\(372\) | −5.80353 | + | 12.7080i | −0.300899 | + | 0.658877i | ||||
\(373\) | −0.102307 | − | 0.348425i | −0.00529724 | − | 0.0180408i | 0.956802 | − | 0.290740i | \(-0.0939016\pi\) |
−0.962099 | + | 0.272700i | \(0.912083\pi\) | |||||||
\(374\) | 1.27742 | − | 0.583377i | 0.0660537 | − | 0.0301657i | ||||
\(375\) | 8.52814 | − | 7.38967i | 0.440391 | − | 0.381601i | ||||
\(376\) | −0.317926 | + | 0.0457109i | −0.0163958 | + | 0.00235736i | ||||
\(377\) | −9.75377 | + | 33.2183i | −0.502345 | + | 1.71083i | ||||
\(378\) | 0.110297 | + | 0.101214i | 0.00567309 | + | 0.00520587i | ||||
\(379\) | −13.0631 | + | 20.3266i | −0.671008 | + | 1.04411i | 0.324168 | + | 0.946000i | \(0.394916\pi\) |
−0.995176 | + | 0.0981089i | \(0.968721\pi\) | |||||||
\(380\) | −12.8370 | − | 8.24981i | −0.658522 | − | 0.423206i | ||||
\(381\) | −10.9496 | − | 9.48791i | −0.560966 | − | 0.486080i | ||||
\(382\) | 0.0703014 | − | 0.239425i | 0.00359693 | − | 0.0122500i | ||||
\(383\) | 3.64663 | + | 25.3628i | 0.186334 | + | 1.29598i | 0.841401 | + | 0.540411i | \(0.181731\pi\) |
−0.655068 | + | 0.755570i | \(0.727360\pi\) | |||||||
\(384\) | −1.36288 | + | 1.18094i | −0.0695492 | + | 0.0602647i | ||||
\(385\) | 16.7966 | − | 7.09992i | 0.856036 | − | 0.361845i | ||||
\(386\) | 1.16582 | − | 0.342316i | 0.0593387 | − | 0.0174234i | ||||
\(387\) | 4.47568 | + | 2.04397i | 0.227511 | + | 0.103901i | ||||
\(388\) | 2.13316 | − | 14.8364i | 0.108295 | − | 0.753206i | ||||
\(389\) | 15.3479 | + | 23.8817i | 0.778168 | + | 1.21085i | 0.973178 | + | 0.230051i | \(0.0738894\pi\) |
−0.195011 | + | 0.980801i | \(0.562474\pi\) | |||||||
\(390\) | −0.554006 | −0.0280532 | ||||||||
\(391\) | 24.1235 | + | 2.90350i | 1.21998 | + | 0.146836i | ||||
\(392\) | −1.58043 | − | 0.0901169i | −0.0798237 | − | 0.00455159i | ||||
\(393\) | −4.52842 | + | 2.91024i | −0.228429 | + | 0.146802i | ||||
\(394\) | −0.210070 | + | 1.46107i | −0.0105832 | + | 0.0736077i | ||||
\(395\) | −6.44463 | − | 2.94317i | −0.324265 | − | 0.148087i | ||||
\(396\) | −2.75594 | − | 9.38587i | −0.138491 | − | 0.471657i | ||||
\(397\) | −14.1990 | + | 6.48446i | −0.712627 | + | 0.325446i | −0.738532 | − | 0.674219i | \(-0.764480\pi\) |
0.0259052 | + | 0.999664i | \(0.491753\pi\) | |||||||
\(398\) | −0.272785 | − | 0.314811i | −0.0136735 | − | 0.0157800i | ||||
\(399\) | −14.2769 | + | 1.63928i | −0.714738 | + | 0.0820669i | ||||
\(400\) | 11.5371 | + | 3.38761i | 0.576857 | + | 0.169381i | ||||
\(401\) | −16.9452 | − | 14.6831i | −0.846205 | − | 0.733241i | 0.119514 | − | 0.992833i | \(-0.461867\pi\) |
−0.965718 | + | 0.259592i | \(0.916412\pi\) | |||||||
\(402\) | −0.189073 | − | 0.121510i | −0.00943011 | − | 0.00606036i | ||||
\(403\) | −40.9615 | − | 26.3244i | −2.04044 | − | 1.31131i | ||||
\(404\) | 0.139839 | + | 0.121171i | 0.00695726 | + | 0.00602850i | ||||
\(405\) | 1.34994 | + | 0.396378i | 0.0670790 | + | 0.0196962i | ||||
\(406\) | −0.0849489 | − | 0.739839i | −0.00421594 | − | 0.0367176i | ||||
\(407\) | −19.3207 | − | 22.2972i | −0.957690 | − | 1.10523i | ||||
\(408\) | −1.04219 | + | 0.475952i | −0.0515961 | + | 0.0235631i | ||||
\(409\) | −1.48966 | − | 5.07330i | −0.0736588 | − | 0.250859i | 0.914430 | − | 0.404744i | \(-0.132639\pi\) |
−0.988089 | + | 0.153886i | \(0.950821\pi\) | |||||||
\(410\) | −0.399707 | − | 0.182540i | −0.0197401 | − | 0.00901501i | ||||
\(411\) | −1.13934 | + | 7.92427i | −0.0561994 | + | 0.390875i | ||||
\(412\) | −4.42562 | + | 2.84417i | −0.218035 | + | 0.140122i | ||||
\(413\) | 0.471822 | − | 16.5626i | 0.0232168 | − | 0.814993i | ||||
\(414\) | −0.0704365 | + | 0.262051i | −0.00346177 | + | 0.0128791i | ||||
\(415\) | −3.44896 | −0.169303 | ||||||||
\(416\) | −2.54920 | − | 3.96664i | −0.124985 | − | 0.194481i | ||||
\(417\) | −0.357525 | + | 2.48664i | −0.0175081 | + | 0.121771i | ||||
\(418\) | −1.36950 | − | 0.625430i | −0.0669844 | − | 0.0305908i | ||||
\(419\) | 29.2005 | − | 8.57405i | 1.42654 | − | 0.418870i | 0.524828 | − | 0.851208i | \(-0.324129\pi\) |
0.901712 | + | 0.432338i | \(0.142311\pi\) | |||||||
\(420\) | −6.84634 | + | 2.89394i | −0.334067 | + | 0.141210i | ||||
\(421\) | 21.5132 | − | 18.6413i | 1.04849 | − | 0.908523i | 0.0525582 | − | 0.998618i | \(-0.483262\pi\) |
0.995933 | + | 0.0900949i | \(0.0287170\pi\) | |||||||
\(422\) | −0.101572 | − | 0.706452i | −0.00494447 | − | 0.0343895i | ||||
\(423\) | −0.400152 | + | 1.36279i | −0.0194561 | + | 0.0662613i | ||||
\(424\) | 2.14459 | + | 1.85830i | 0.104151 | + | 0.0902471i | ||||
\(425\) | 12.8740 | + | 8.27360i | 0.624479 | + | 0.401328i | ||||
\(426\) | −0.158068 | + | 0.245959i | −0.00765844 | + | 0.0119168i | ||||
\(427\) | 8.23034 | − | 8.96900i | 0.398294 | − | 0.434040i | ||||
\(428\) | −8.40151 | + | 28.6129i | −0.406102 | + | 1.38306i | ||||
\(429\) | 33.7464 | − | 4.85200i | 1.62929 | − | 0.234257i | ||||
\(430\) | 0.296014 | − | 0.256498i | 0.0142751 | − | 0.0123694i | ||||
\(431\) | 18.5975 | − | 8.49321i | 0.895812 | − | 0.409103i | 0.0863422 | − | 0.996266i | \(-0.472482\pi\) |
0.809469 | + | 0.587162i | \(0.199755\pi\) | |||||||
\(432\) | 1.12152 | + | 3.81955i | 0.0539592 | + | 0.183768i | ||||
\(433\) | 13.8669 | − | 30.3643i | 0.666402 | − | 1.45922i | −0.210031 | − | 0.977695i | \(-0.567357\pi\) |
0.876434 | − | 0.481523i | \(-0.159916\pi\) | |||||||
\(434\) | 1.03203 | + | 0.178514i | 0.0495391 | + | 0.00856897i | ||||
\(435\) | −3.78394 | − | 5.88792i | −0.181426 | − | 0.282304i | ||||
\(436\) | 7.19923i | 0.344781i | ||||||||
\(437\) | −14.5838 | − | 21.5840i | −0.697638 | − | 1.03250i | ||||
\(438\) | 0.168792 | 0.00806520 | ||||||||
\(439\) | 18.6956 | + | 29.0909i | 0.892292 | + | 1.38843i | 0.921299 | + | 0.388854i | \(0.127129\pi\) |
−0.0290071 | + | 0.999579i | \(0.509235\pi\) | |||||||
\(440\) | −1.54280 | − | 0.221821i | −0.0735500 | − | 0.0105749i | ||||
\(441\) | −3.26567 | + | 6.19156i | −0.155508 | + | 0.294836i | ||||
\(442\) | −0.562055 | − | 1.91418i | −0.0267342 | − | 0.0910484i | ||||
\(443\) | −6.92402 | − | 15.1615i | −0.328970 | − | 0.720344i | 0.670803 | − | 0.741636i | \(-0.265950\pi\) |
−0.999773 | + | 0.0212912i | \(0.993222\pi\) | |||||||
\(444\) | 7.87514 | + | 9.08839i | 0.373738 | + | 0.431316i | ||||
\(445\) | −2.90865 | − | 20.2301i | −0.137883 | − | 0.959000i | ||||
\(446\) | 0.209732 | − | 0.714282i | 0.00993111 | − | 0.0338223i | ||||
\(447\) | −0.610488 | + | 0.704541i | −0.0288751 | + | 0.0333236i | ||||
\(448\) | −17.3053 | − | 11.8310i | −0.817599 | − | 0.558964i | ||||
\(449\) | 3.37559 | + | 2.16936i | 0.159304 | + | 0.102378i | 0.617864 | − | 0.786285i | \(-0.287998\pi\) |
−0.458560 | + | 0.888663i | \(0.651635\pi\) | |||||||
\(450\) | −0.111919 | + | 0.129162i | −0.00527592 | + | 0.00608874i | ||||
\(451\) | 25.9462 | + | 7.61850i | 1.22176 | + | 0.358741i | ||||
\(452\) | 24.5603 | − | 3.53124i | 1.15522 | − | 0.166096i | ||||
\(453\) | 0.148035 | − | 0.128273i | 0.00695530 | − | 0.00602680i | ||||
\(454\) | −0.0724912 | − | 0.158734i | −0.00340218 | − | 0.00744973i | ||||
\(455\) | −6.58770 | − | 25.0540i | −0.308836 | − | 1.17455i | ||||
\(456\) | 1.11732 | + | 0.510261i | 0.0523231 | + | 0.0238952i | ||||
\(457\) | −0.734263 | − | 0.105571i | −0.0343474 | − | 0.00493840i | 0.125120 | − | 0.992142i | \(-0.460068\pi\) |
−0.159467 | + | 0.987203i | \(0.550978\pi\) | |||||||
\(458\) | 0.345030 | − | 0.221737i | 0.0161222 | − | 0.0103611i | ||||
\(459\) | 5.06640i | 0.236479i | ||||||||
\(460\) | −10.3827 | − | 8.58639i | −0.484097 | − | 0.400342i | ||||
\(461\) | 27.0803i | 1.26125i | 0.776086 | + | 0.630627i | \(0.217202\pi\) | ||||
−0.776086 | + | 0.630627i | \(0.782798\pi\) | |||||||
\(462\) | −0.627981 | + | 0.378755i | −0.0292163 | + | 0.0176213i | ||||
\(463\) | 0.730610 | − | 5.08151i | 0.0339543 | − | 0.236158i | −0.965776 | − | 0.259377i | \(-0.916483\pi\) |
0.999730 | + | 0.0232198i | \(0.00739174\pi\) | |||||||
\(464\) | 8.22651 | − | 18.0135i | 0.381906 | − | 0.836257i | ||||
\(465\) | 9.44474 | − | 2.77323i | 0.437989 | − | 0.128605i | ||||
\(466\) | 0.607760 | + | 1.33081i | 0.0281540 | + | 0.0616486i | ||||
\(467\) | −3.29824 | − | 3.80637i | −0.152624 | − | 0.176138i | 0.674288 | − | 0.738468i | \(-0.264450\pi\) |
−0.826913 | + | 0.562330i | \(0.809905\pi\) | |||||||
\(468\) | −13.7551 | + | 1.97769i | −0.635830 | + | 0.0914185i | ||||
\(469\) | 3.24681 | − | 9.99540i | 0.149924 | − | 0.461545i | ||||
\(470\) | 0.0854491 | + | 0.0740421i | 0.00394147 | + | 0.00341531i | ||||
\(471\) | 2.57898 | − | 4.01297i | 0.118833 | − | 0.184908i | ||||
\(472\) | −0.765679 | + | 1.19142i | −0.0352432 | + | 0.0548395i | ||||
\(473\) | −15.7848 | + | 18.2167i | −0.725788 | + | 0.837604i | ||||
\(474\) | 0.273383 | + | 0.0802725i | 0.0125569 | + | 0.00368704i | ||||
\(475\) | −2.33488 | − | 16.2395i | −0.107132 | − | 0.745118i | ||||
\(476\) | −16.9448 | − | 20.7193i | −0.776666 | − | 0.949666i | ||||
\(477\) | 11.4143 | − | 5.21276i | 0.522627 | − | 0.238676i | ||||
\(478\) | −1.08551 | + | 0.318734i | −0.0496500 | + | 0.0145785i | ||||
\(479\) | −6.05423 | + | 13.2569i | −0.276625 | + | 0.605724i | −0.996045 | − | 0.0888512i | \(-0.971680\pi\) |
0.719420 | + | 0.694575i | \(0.244408\pi\) | |||||||
\(480\) | 0.943522 | + | 0.135658i | 0.0430657 | + | 0.00619191i | ||||
\(481\) | −35.2594 | + | 22.6598i | −1.60769 | + | 1.03320i | ||||
\(482\) | 0.647993 | 0.0295153 | ||||||||
\(483\) | −12.6884 | − | 0.0693206i | −0.577342 | − | 0.00315419i | ||||
\(484\) | 25.9568 | 1.17985 | ||||||||
\(485\) | −8.88459 | + | 5.70978i | −0.403428 | + | 0.259268i | ||||
\(486\) | −0.0560049 | − | 0.00805229i | −0.00254044 | − | 0.000365259i | ||||
\(487\) | 10.2767 | − | 22.5029i | 0.465683 | − | 1.01970i | −0.520473 | − | 0.853878i | \(-0.674244\pi\) |
0.986155 | − | 0.165825i | \(-0.0530285\pi\) | |||||||
\(488\) | −0.998324 | + | 0.293134i | −0.0451920 | + | 0.0132696i | ||||
\(489\) | 10.4156 | − | 4.75666i | 0.471011 | − | 0.215104i | ||||
\(490\) | 0.340346 | + | 0.441222i | 0.0153753 | + | 0.0199324i | ||||
\(491\) | −0.509981 | − | 3.54699i | −0.0230151 | − | 0.160074i | 0.975073 | − | 0.221886i | \(-0.0712212\pi\) |
−0.998088 | + | 0.0618120i | \(0.980312\pi\) | |||||||
\(492\) | −10.5757 | − | 3.10531i | −0.476791 | − | 0.139998i | ||||
\(493\) | 16.5048 | − | 19.0476i | 0.743340 | − | 0.857860i | ||||
\(494\) | −1.15632 | + | 1.79928i | −0.0520255 | + | 0.0809532i | ||||
\(495\) | −3.72631 | + | 5.79826i | −0.167485 | + | 0.260612i | ||||
\(496\) | 21.0487 | + | 18.2388i | 0.945113 | + | 0.818945i | ||||
\(497\) | −13.0027 | − | 4.22368i | −0.583251 | − | 0.189458i | ||||
\(498\) | 0.137291 | − | 0.0197395i | 0.00615216 | − | 0.000884547i | ||||
\(499\) | −4.75481 | − | 5.48734i | −0.212854 | − | 0.245647i | 0.639275 | − | 0.768978i | \(-0.279235\pi\) |
−0.852129 | + | 0.523331i | \(0.824689\pi\) | |||||||
\(500\) | −9.36037 | − | 20.4963i | −0.418608 | − | 0.916624i | ||||
\(501\) | −12.4338 | + | 3.65091i | −0.555503 | + | 0.163110i | ||||
\(502\) | 0.0269991 | − | 0.0591199i | 0.00120503 | − | 0.00263865i | ||||
\(503\) | 1.19458 | − | 8.30847i | 0.0532636 | − | 0.370456i | −0.945704 | − | 0.325029i | \(-0.894626\pi\) |
0.998968 | − | 0.0454273i | \(-0.0144649\pi\) | |||||||
\(504\) | 0.512343 | − | 0.309010i | 0.0228216 | − | 0.0137644i | ||||
\(505\) | − | 0.130373i | − | 0.00580154i | ||||||
\(506\) | −1.13454 | − | 0.692761i | −0.0504366 | − | 0.0307970i | ||||
\(507\) | − | 35.4335i | − | 1.57365i | ||||||
\(508\) | −24.3379 | + | 15.6410i | −1.07982 | + | 0.693957i | ||||
\(509\) | −19.2051 | − | 2.76128i | −0.851252 | − | 0.122392i | −0.297140 | − | 0.954834i | \(-0.596033\pi\) |
−0.554112 | + | 0.832442i | \(0.686942\pi\) | |||||||
\(510\) | 0.366865 | + | 0.167542i | 0.0162451 | + | 0.00741888i | ||||
\(511\) | 2.00711 | + | 7.63335i | 0.0887895 | + | 0.337680i | ||||
\(512\) | 1.86834 | + | 4.09110i | 0.0825699 | + | 0.180803i | ||||
\(513\) | 4.10494 | − | 3.55695i | 0.181237 | − | 0.157043i | ||||
\(514\) | 1.41610 | − | 0.203604i | 0.0624613 | − | 0.00898058i | ||||
\(515\) | 3.55654 | + | 1.04429i | 0.156720 | + | 0.0460171i | ||||
\(516\) | 6.43393 | − | 7.42515i | 0.283238 | − | 0.326874i | ||||
\(517\) | −5.85347 | − | 3.76180i | −0.257435 | − | 0.165444i | ||||
\(518\) | 0.508818 | − | 0.744251i | 0.0223562 | − | 0.0327005i | ||||
\(519\) | 9.25924 | − | 10.6857i | 0.406436 | − | 0.469052i | ||||
\(520\) | −0.623826 | + | 2.12456i | −0.0273566 | + | 0.0931680i | ||||
\(521\) | 2.89627 | + | 20.1440i | 0.126888 | + | 0.882525i | 0.949465 | + | 0.313872i | \(0.101626\pi\) |
−0.822577 | + | 0.568653i | \(0.807465\pi\) | |||||||
\(522\) | 0.184324 | + | 0.212721i | 0.00806763 | + | 0.00931054i | ||||
\(523\) | 7.50358 | + | 16.4306i | 0.328109 | + | 0.718458i | 0.999749 | − | 0.0224197i | \(-0.00713701\pi\) |
−0.671640 | + | 0.740878i | \(0.734410\pi\) | |||||||
\(524\) | 3.02825 | + | 10.3133i | 0.132290 | + | 0.450537i | ||||
\(525\) | −7.17196 | − | 3.52550i | −0.313010 | − | 0.153865i | ||||
\(526\) | −0.0218985 | − | 0.00314853i | −0.000954821 | − | 0.000137283i | ||||
\(527\) | 19.1639 | + | 29.8196i | 0.834793 | + | 1.29896i | ||||
\(528\) | −19.5015 | −0.848695 | ||||||||
\(529\) | −10.5072 | − | 20.4597i | −0.456833 | − | 0.889553i | ||||
\(530\) | − | 0.998911i | − | 0.0433899i | ||||||
\(531\) | 3.38583 | + | 5.26845i | 0.146932 | + | 0.228631i | ||||
\(532\) | −4.89092 | + | 28.2755i | −0.212048 | + | 1.22590i | ||||
\(533\) | 15.9584 | − | 34.9440i | 0.691235 | − | 1.51359i | ||||
\(534\) | 0.231567 | + | 0.788643i | 0.0100209 | + | 0.0341279i | ||||
\(535\) | 19.1128 | − | 8.72852i | 0.826318 | − | 0.377367i | ||||
\(536\) | −0.678880 | + | 0.588253i | −0.0293232 | + | 0.0254087i | ||||
\(537\) | 4.60355 | − | 0.661891i | 0.198658 | − | 0.0285627i | ||||
\(538\) | −0.422503 | + | 1.43891i | −0.0182154 | + | 0.0620359i | ||||
\(539\) | −24.5959 | − | 23.8956i | −1.05942 | − | 1.02926i | ||||
\(540\) | 1.51885 | − | 2.36338i | 0.0653610 | − | 0.101704i | ||||
\(541\) | −9.31254 | − | 5.98481i | −0.400377 | − | 0.257307i | 0.324922 | − | 0.945741i | \(-0.394662\pi\) |
−0.725299 | + | 0.688434i | \(0.758298\pi\) | |||||||
\(542\) | 0.155125 | + | 0.134417i | 0.00666320 | + | 0.00577369i | ||||
\(543\) | 3.48851 | − | 11.8808i | 0.149706 | − | 0.509853i | ||||
\(544\) | 0.488509 | + | 3.39766i | 0.0209447 | + | 0.145673i | ||||
\(545\) | 3.83356 | − | 3.32180i | 0.164212 | − | 0.142290i | ||||
\(546\) | 0.405625 | + | 0.959609i | 0.0173592 | + | 0.0410675i | ||||
\(547\) | −19.8510 | + | 5.82879i | −0.848768 | + | 0.249221i | −0.677061 | − | 0.735927i | \(-0.736747\pi\) |
−0.171708 | + | 0.985148i | \(0.554928\pi\) | |||||||
\(548\) | 14.5413 | + | 6.64078i | 0.621172 | + | 0.283680i | ||||
\(549\) | −0.654784 | + | 4.55412i | −0.0279455 | + | 0.194365i | ||||
\(550\) | −0.452650 | − | 0.704337i | −0.0193011 | − | 0.0300330i | ||||
\(551\) | −27.0204 | −1.15111 | ||||||||
\(552\) | 0.925626 | + | 0.565194i | 0.0393972 | + | 0.0240562i | ||||
\(553\) | −0.379387 | + | 13.3178i | −0.0161332 | + | 0.566331i | ||||
\(554\) | −0.276995 | + | 0.178014i | −0.0117684 | + | 0.00756309i | ||||
\(555\) | 1.20586 | − | 8.38695i | 0.0511860 | − | 0.356006i | ||||
\(556\) | 4.56306 | + | 2.08388i | 0.193517 | + | 0.0883762i | ||||
\(557\) | 2.03114 | + | 6.91744i | 0.0860624 | + | 0.293102i | 0.991266 | − | 0.131876i | \(-0.0421001\pi\) |
−0.905204 | + | 0.424978i | \(0.860282\pi\) | |||||||
\(558\) | −0.360090 | + | 0.164448i | −0.0152438 | + | 0.00696163i | ||||
\(559\) | 22.4241 | + | 25.8788i | 0.948438 | + | 1.09456i | ||||
\(560\) | 1.69032 | + | 14.7213i | 0.0714290 | + | 0.622091i | ||||
\(561\) | −23.8144 | − | 6.99254i | −1.00544 | − | 0.295225i | ||||
\(562\) | −0.181507 | − | 0.157277i | −0.00765641 | − | 0.00663431i | ||||
\(563\) | 3.27752 | + | 2.10634i | 0.138131 | + | 0.0887715i | 0.607881 | − | 0.794028i | \(-0.292020\pi\) |
−0.469750 | + | 0.882799i | \(0.655656\pi\) | |||||||
\(564\) | 2.38588 | + | 1.53331i | 0.100464 | + | 0.0645642i | ||||
\(565\) | −13.2127 | − | 11.4489i | −0.555864 | − | 0.481659i | ||||
\(566\) | 0.323720 | + | 0.0950527i | 0.0136070 | + | 0.00399536i | ||||
\(567\) | −0.301804 | − | 2.62848i | −0.0126746 | − | 0.110386i | ||||
\(568\) | 0.765240 | + | 0.883134i | 0.0321087 | + | 0.0370555i | ||||
\(569\) | 20.0707 | − | 9.16597i | 0.841406 | − | 0.384257i | 0.0523877 | − | 0.998627i | \(-0.483317\pi\) |
0.789018 | + | 0.614370i | \(0.210590\pi\) | |||||||
\(570\) | −0.121817 | − | 0.414870i | −0.00510235 | − | 0.0173770i | ||||
\(571\) | 29.3309 | + | 13.3950i | 1.22746 | + | 0.560562i | 0.920344 | − | 0.391110i | \(-0.127909\pi\) |
0.307116 | + | 0.951672i | \(0.400636\pi\) | |||||||
\(572\) | 9.68848 | − | 67.3848i | 0.405095 | − | 2.81750i | ||||
\(573\) | −3.71009 | + | 2.38433i | −0.154991 | + | 0.0996068i | ||||
\(574\) | −0.0235302 | + | 0.825993i | −0.000982131 | + | 0.0344763i | ||||
\(575\) | −0.333384 | − | 14.4822i | −0.0139031 | − | 0.603950i | ||||
\(576\) | 7.92327 | 0.330136 | ||||||||
\(577\) | 24.1610 | + | 37.5953i | 1.00584 | + | 1.56511i | 0.811646 | + | 0.584149i | \(0.198572\pi\) |
0.194191 | + | 0.980964i | \(0.437792\pi\) | |||||||
\(578\) | −0.0698005 | + | 0.485473i | −0.00290332 | + | 0.0201930i | ||||
\(579\) | −19.5338 | − | 8.92078i | −0.811796 | − | 0.370735i | ||||
\(580\) | −13.4094 | + | 3.93737i | −0.556797 | + | 0.163490i | ||||
\(581\) | 2.52522 | + | 5.97404i | 0.104764 | + | 0.247845i | ||||
\(582\) | 0.320986 | − | 0.278136i | 0.0133053 | − | 0.0115291i | ||||
\(583\) | 8.74850 | + | 60.8472i | 0.362326 | + | 2.52003i | ||||
\(584\) | 0.190065 | − | 0.647301i | 0.00786494 | − | 0.0267855i | ||||
\(585\) | 7.39985 | + | 6.41200i | 0.305946 | + | 0.265104i | ||||
\(586\) | −1.01698 | − | 0.653575i | −0.0420112 | − | 0.0269989i | ||||
\(587\) | 2.34742 | − | 3.65266i | 0.0968885 | − | 0.150761i | −0.789425 | − | 0.613847i | \(-0.789621\pi\) |
0.886314 | + | 0.463085i | \(0.153258\pi\) | |||||||
\(588\) | 10.0253 | + | 9.73989i | 0.413438 | + | 0.401666i | ||||
\(589\) | 10.7064 | − | 36.4625i | 0.441148 | − | 1.50241i | ||||
\(590\) | 0.493463 | − | 0.0709493i | 0.0203155 | − | 0.00292094i | ||||
\(591\) | 19.7162 | − | 17.0842i | 0.811016 | − | 0.702749i | ||||
\(592\) | 21.8078 | − | 9.95928i | 0.896294 | − | 0.409324i | ||||
\(593\) | 8.50247 | + | 28.9567i | 0.349154 | + | 1.18911i | 0.927658 | + | 0.373431i | \(0.121819\pi\) |
−0.578504 | + | 0.815680i | \(0.696363\pi\) | |||||||
\(594\) | 0.115146 | − | 0.252135i | 0.00472451 | − | 0.0103452i | ||||
\(595\) | −3.21440 | + | 18.5831i | −0.131777 | + | 0.761834i | ||||
\(596\) | 1.00640 | + | 1.56599i | 0.0412238 | + | 0.0641455i | ||||
\(597\) | 7.36211i | 0.301311i | ||||||||
\(598\) | −1.20350 | + | 1.45528i | −0.0492148 | + | 0.0595108i | ||||
\(599\) | 11.1491 | 0.455542 | 0.227771 | − | 0.973715i | \(-0.426856\pi\) | ||||
0.227771 | + | 0.973715i | \(0.426856\pi\) | |||||||
\(600\) | 0.369298 | + | 0.574639i | 0.0150765 | + | 0.0234595i | ||||
\(601\) | −26.6897 | − | 3.83740i | −1.08870 | − | 0.156531i | −0.425487 | − | 0.904965i | \(-0.639897\pi\) |
−0.663210 | + | 0.748434i | \(0.730806\pi\) | |||||||
\(602\) | −0.661019 | − | 0.324935i | −0.0269411 | − | 0.0132434i | ||||
\(603\) | 1.11910 | + | 3.81132i | 0.0455735 | + | 0.155209i | ||||
\(604\) | −0.162481 | − | 0.355785i | −0.00661127 | − | 0.0144767i | ||||
\(605\) | −11.9767 | − | 13.8219i | −0.486922 | − | 0.561938i | ||||
\(606\) | 0.000746167 | 0.00518971i | 3.03110e−5 | 0.000210818i | ||||||
\(607\) | 8.97742 | − | 30.5743i | 0.364382 | − | 1.24097i | −0.549672 | − | 0.835380i | \(-0.685247\pi\) |
0.914055 | − | 0.405591i | \(-0.132934\pi\) | |||||||
\(608\) | 2.40991 | − | 2.78118i | 0.0977347 | − | 0.112792i | ||||
\(609\) | −7.42815 | + | 10.8652i | −0.301004 | + | 0.440280i | ||||
\(610\) | 0.308118 | + | 0.198015i | 0.0124753 | + | 0.00801740i | ||||
\(611\) | −6.47306 | + | 7.47031i | −0.261872 | + | 0.302216i | ||||
\(612\) | 9.70679 | + | 2.85017i | 0.392374 | + | 0.115211i | ||||
\(613\) | 15.8584 | − | 2.28010i | 0.640516 | − | 0.0920922i | 0.185598 | − | 0.982626i | \(-0.440578\pi\) |
0.454918 | + | 0.890534i | \(0.349669\pi\) | |||||||
\(614\) | −0.647853 | + | 0.561368i | −0.0261452 | + | 0.0226550i | ||||
\(615\) | 3.22618 | + | 7.06435i | 0.130092 | + | 0.284862i | ||||
\(616\) | 0.745365 | + | 2.83473i | 0.0300316 | + | 0.114215i | ||||
\(617\) | 32.8495 | + | 15.0019i | 1.32247 | + | 0.603952i | 0.946507 | − | 0.322682i | \(-0.104584\pi\) |
0.375964 | + | 0.926634i | \(0.377312\pi\) | |||||||
\(618\) | −0.147550 | − | 0.0212145i | −0.00593533 | − | 0.000853372i | ||||
\(619\) | 7.91770 | − | 5.08839i | 0.318239 | − | 0.204520i | −0.371762 | − | 0.928328i | \(-0.621246\pi\) |
0.690001 | + | 0.723808i | \(0.257610\pi\) | |||||||
\(620\) | − | 19.6554i | − | 0.789381i | ||||||
\(621\) | 3.97377 | − | 2.68499i | 0.159462 | − | 0.107745i | ||||
\(622\) | − | 0.858966i | − | 0.0344414i | ||||||
\(623\) | −32.9115 | + | 19.8500i | −1.31857 | + | 0.795273i | ||||
\(624\) | −3.94270 | + | 27.4221i | −0.157834 | + | 1.09776i | ||||
\(625\) | −0.321331 | + | 0.703616i | −0.0128532 | + | 0.0281446i | ||||
\(626\) | −0.949996 | + | 0.278944i | −0.0379695 | + | 0.0111488i | ||||
\(627\) | 11.0537 | + | 24.2043i | 0.441444 | + | 0.966627i | ||||
\(628\) | −6.23767 | − | 7.19866i | −0.248910 | − | 0.287258i | ||||
\(629\) | 30.2017 | − | 4.34235i | 1.20422 | − | 0.173141i | ||||
\(630\) | −0.200313 | − | 0.0650677i | −0.00798065 | − | 0.00259236i | ||||
\(631\) | −6.05999 | − | 5.25101i | −0.241244 | − | 0.209039i | 0.525844 | − | 0.850581i | \(-0.323750\pi\) |
−0.767088 | + | 0.641542i | \(0.778295\pi\) | |||||||
\(632\) | 0.615674 | − | 0.958008i | 0.0244902 | − | 0.0381075i | ||||
\(633\) | −6.81970 | + | 10.6117i | −0.271059 | + | 0.421775i | ||||
\(634\) | 0.937855 | − | 1.08234i | 0.0372470 | − | 0.0429853i | ||||
\(635\) | 19.5585 | + | 5.74289i | 0.776155 | + | 0.227900i | ||||
\(636\) | −3.56591 | − | 24.8014i | −0.141397 | − | 0.983440i | ||||
\(637\) | −38.5734 | + | 29.7545i | −1.52834 | + | 1.17892i | ||||
\(638\) | −1.25428 | + | 0.572813i | −0.0496576 | + | 0.0226779i | ||||
\(639\) | 4.95802 | − | 1.45581i | 0.196136 | − | 0.0575908i | ||||
\(640\) | 1.05398 | − | 2.30790i | 0.0416624 | − | 0.0912279i | ||||
\(641\) | −34.0581 | − | 4.89681i | −1.34521 | − | 0.193412i | −0.568197 | − | 0.822893i | \(-0.692359\pi\) |
−0.777016 | + | 0.629480i | \(0.783268\pi\) | |||||||
\(642\) | −0.710858 | + | 0.456840i | −0.0280553 | + | 0.0180301i | ||||
\(643\) | −22.0673 | −0.870251 | −0.435125 | − | 0.900370i | \(-0.643296\pi\) | ||||
−0.435125 | + | 0.900370i | \(0.643296\pi\) | |||||||
\(644\) | −7.27083 | + | 24.2709i | −0.286511 | + | 0.956406i | ||||
\(645\) | −6.92254 | −0.272575 | ||||||||
\(646\) | 1.30986 | − | 0.841795i | 0.0515357 | − | 0.0331200i | ||||
\(647\) | 47.5068 | + | 6.83045i | 1.86769 | + | 0.268533i | 0.981024 | − | 0.193886i | \(-0.0621093\pi\) |
0.886661 | + | 0.462419i | \(0.153018\pi\) | |||||||
\(648\) | −0.0939429 | + | 0.205706i | −0.00369042 | + | 0.00808090i | ||||
\(649\) | −29.4372 | + | 8.64354i | −1.15551 | + | 0.339288i | ||||
\(650\) | −1.08192 | + | 0.494095i | −0.0424363 | + | 0.0193800i | ||||
\(651\) | −11.7187 | − | 14.3290i | −0.459293 | − | 0.561599i | ||||
\(652\) | −3.25390 | − | 22.6314i | −0.127433 | − | 0.886313i | ||||
\(653\) | 22.7833 | + | 6.68979i | 0.891581 | + | 0.261792i | 0.695269 | − | 0.718750i | \(-0.255285\pi\) |
0.196312 | + | 0.980541i | \(0.437103\pi\) | |||||||
\(654\) | −0.133589 | + | 0.154170i | −0.00522374 | + | 0.00602851i | ||||
\(655\) | 4.09450 | − | 6.37117i | 0.159985 | − | 0.248942i | ||||
\(656\) | −11.8799 | + | 18.4855i | −0.463833 | + | 0.721738i | ||||
\(657\) | −2.25456 | − | 1.95358i | −0.0879586 | − | 0.0762165i | ||||
\(658\) | 0.0656873 | − | 0.202220i | 0.00256076 | − | 0.00788336i | ||||
\(659\) | −18.0828 | + | 2.59991i | −0.704405 | + | 0.101278i | −0.485203 | − | 0.874401i | \(-0.661254\pi\) |
−0.219202 | + | 0.975680i | \(0.570345\pi\) | |||||||
\(660\) | 9.01267 | + | 10.4012i | 0.350818 | + | 0.404865i | ||||
\(661\) | 17.9254 | + | 39.2511i | 0.697216 | + | 1.52669i | 0.843314 | + | 0.537421i | \(0.180601\pi\) |
−0.146098 | + | 0.989270i | \(0.546671\pi\) | |||||||
\(662\) | −0.677713 | + | 0.198994i | −0.0263400 | + | 0.00773414i | ||||
\(663\) | −14.6472 | + | 32.0729i | −0.568850 | + | 1.24561i | ||||
\(664\) | 0.0788947 | − | 0.548725i | 0.00306171 | − | 0.0212947i | ||||
\(665\) | 17.3133 | − | 10.4422i | 0.671381 | − | 0.404931i | ||||
\(666\) | 0.340757i | 0.0132041i | ||||||||
\(667\) | −23.6866 | − | 2.85092i | −0.917150 | − | 0.110388i | ||||
\(668\) | 25.8760i | 1.00117i | ||||||||
\(669\) | −11.0684 | + | 7.11324i | −0.427930 | + | 0.275014i | ||||
\(670\) | 0.312991 | + | 0.0450013i | 0.0120919 | + | 0.00173855i | ||||
\(671\) | −20.5027 | − | 9.36329i | −0.791500 | − | 0.361466i | ||||
\(672\) | −0.455840 | − | 1.73363i | −0.0175844 | − | 0.0668761i | ||||
\(673\) | 13.7592 | + | 30.1284i | 0.530378 | + | 1.16136i | 0.965359 | + | 0.260925i | \(0.0840276\pi\) |
−0.434981 | + | 0.900439i | \(0.643245\pi\) | |||||||
\(674\) | 1.29825 | − | 1.12494i | 0.0500066 | − | 0.0433310i | ||||
\(675\) | 2.98981 | − | 0.429869i | 0.115078 | − | 0.0165457i | ||||
\(676\) | −67.8875 | − | 19.9336i | −2.61106 | − | 0.766675i | ||||
\(677\) | −20.4412 | + | 23.5905i | −0.785621 | + | 0.906655i | −0.997502 | − | 0.0706406i | \(-0.977496\pi\) |
0.211881 | + | 0.977295i | \(0.432041\pi\) | |||||||
\(678\) | 0.591479 | + | 0.380120i | 0.0227156 | + | 0.0145984i | ||||
\(679\) | 16.3951 | + | 11.2087i | 0.629185 | + | 0.430152i | ||||
\(680\) | 1.05561 | − | 1.21824i | 0.0404807 | − | 0.0467172i | ||||
\(681\) | −0.868902 | + | 2.95921i | −0.0332964 | + | 0.113397i | ||||
\(682\) | −0.275990 | − | 1.91956i | −0.0105682 | − | 0.0735036i | ||||
\(683\) | 16.6980 | + | 19.2705i | 0.638931 | + | 0.737365i | 0.979185 | − | 0.202968i | \(-0.0650587\pi\) |
−0.340255 | + | 0.940333i | \(0.610513\pi\) | |||||||
\(684\) | −4.50552 | − | 9.86572i | −0.172273 | − | 0.377225i | ||||
\(685\) | −3.17330 | − | 10.8073i | −0.121246 | − | 0.412925i | ||||
\(686\) | 0.515063 | − | 0.912572i | 0.0196652 | − | 0.0348422i | ||||
\(687\) | −7.17492 | − | 1.03160i | −0.273740 | − | 0.0393579i | ||||
\(688\) | −10.5894 | − | 16.4775i | −0.403718 | − | 0.628198i | ||||
\(689\) | 87.3289 | 3.32697 | ||||||||
\(690\) | −0.0630144 | − | 0.376537i | −0.00239892 | − | 0.0143345i | ||||
\(691\) | 20.1477i | 0.766454i | 0.923654 | + | 0.383227i | \(0.125187\pi\) | ||||
−0.923654 | + | 0.383227i | \(0.874813\pi\) | |||||||
\(692\) | −15.2640 | − | 23.7513i | −0.580252 | − | 0.902889i | ||||
\(693\) | 12.7716 | + | 2.20915i | 0.485153 | + | 0.0839188i | ||||
\(694\) | −0.698905 | + | 1.53039i | −0.0265301 | + | 0.0580928i | ||||
\(695\) | −0.995784 | − | 3.39133i | −0.0377722 | − | 0.128640i | ||||
\(696\) | 1.02332 | − | 0.467333i | 0.0387887 | − | 0.0177142i | ||||
\(697\) | −21.1355 | + | 18.3140i | −0.800562 | + | 0.693691i | ||||
\(698\) | 0.308208 | − | 0.0443136i | 0.0116658 | − | 0.00167729i | ||||
\(699\) | 7.28480 | − | 24.8098i | 0.275537 | − | 0.938391i | ||||
\(700\) | −10.7892 | + | 11.7575i | −0.407795 | + | 0.444393i | ||||
\(701\) | −10.6646 | + | 16.5944i | −0.402796 | + | 0.626762i | −0.982102 | − | 0.188347i | \(-0.939687\pi\) |
0.579307 | + | 0.815110i | \(0.303323\pi\) | |||||||
\(702\) | −0.331260 | − | 0.212888i | −0.0125026 | − | 0.00803494i | ||||
\(703\) | −24.7219 | − | 21.4216i | −0.932403 | − | 0.807932i | ||||
\(704\) | −10.9355 | + | 37.2430i | −0.412148 | + | 1.40365i | ||||
\(705\) | −0.284387 | − | 1.97796i | −0.0107107 | − | 0.0744942i | ||||
\(706\) | 0.645503 | − | 0.559332i | 0.0242938 | − | 0.0210507i | ||||
\(707\) | −0.225823 | + | 0.0954552i | −0.00849296 | + | 0.00358996i | ||||
\(708\) | 11.9986 | − | 3.52312i | 0.450937 | − | 0.132407i | ||||
\(709\) | −29.7590 | − | 13.5905i | −1.11762 | − | 0.510401i | −0.231027 | − | 0.972947i | \(-0.574209\pi\) |
−0.886595 | + | 0.462546i | \(0.846936\pi\) | |||||||
\(710\) | 0.0585408 | − | 0.407160i | 0.00219700 | − | 0.0152804i | ||||
\(711\) | −2.72251 | − | 4.23631i | −0.102102 | − | 0.158874i | ||||
\(712\) | 3.28512 | 0.123115 | ||||||||
\(713\) | 13.2326 | − | 30.8342i | 0.495564 | − | 1.15475i | ||||
\(714\) | 0.0215969 | − | 0.758126i | 0.000808242 | − | 0.0283722i | ||||
\(715\) | −40.3525 | + | 25.9330i | −1.50910 | + | 0.969837i | ||||
\(716\) | 1.32166 | − | 9.19236i | 0.0493928 | − | 0.343535i | ||||
\(717\) | 18.1881 | + | 8.30623i | 0.679247 | + | 0.310202i | ||||
\(718\) | −0.306128 | − | 1.04258i | −0.0114246 | − | 0.0389086i | ||||
\(719\) | −22.8152 | + | 10.4194i | −0.850865 | + | 0.388577i | −0.792613 | − | 0.609725i | \(-0.791280\pi\) |
−0.0582519 | + | 0.998302i | \(0.518553\pi\) | |||||||
\(720\) | −3.66768 | − | 4.23273i | −0.136686 | − | 0.157745i | ||||
\(721\) | −0.795131 | − | 6.92497i | −0.0296122 | − | 0.257899i | ||||
\(722\) | −0.570164 | − | 0.167415i | −0.0212193 | − | 0.00623055i | ||||
\(723\) | −8.65523 | − | 7.49980i | −0.321891 | − | 0.278921i | ||||
\(724\) | −20.8000 | − | 13.3674i | −0.773027 | − | 0.496795i | ||||
\(725\) | −12.6408 | − | 8.12377i | −0.469469 | − | 0.301709i | ||||
\(726\) | 0.555858 | + | 0.481653i | 0.0206298 | + | 0.0178758i | ||||
\(727\) | −25.5636 | − | 7.50614i | −0.948100 | − | 0.278387i | −0.229104 | − | 0.973402i | \(-0.573580\pi\) |
−0.718996 | + | 0.695015i | \(0.755398\pi\) | |||||||
\(728\) | 4.13675 | − | 0.474985i | 0.153318 | − | 0.0176041i | ||||
\(729\) | 0.654861 | + | 0.755750i | 0.0242541 | + | 0.0279907i | ||||
\(730\) | −0.216018 | + | 0.0986522i | −0.00799519 | + | 0.00365128i | ||||
\(731\) | −7.02311 | − | 23.9185i | −0.259759 | − | 0.884658i | ||||
\(732\) | 8.35695 | + | 3.81649i | 0.308882 | + | 0.141062i | ||||
\(733\) | 1.45436 | − | 10.1153i | 0.0537179 | − | 0.373616i | −0.945175 | − | 0.326565i | \(-0.894109\pi\) |
0.998893 | − | 0.0470507i | \(-0.0149822\pi\) | |||||||
\(734\) | −1.05930 | + | 0.680769i | −0.0390994 | + | 0.0251276i | ||||
\(735\) | 0.560656 | − | 9.83253i | 0.0206801 | − | 0.362678i | ||||
\(736\) | 2.40602 | − | 2.18378i | 0.0886871 | − | 0.0804951i | ||||
\(737\) | −19.4595 | −0.716800 | ||||||||
\(738\) | −0.168854 | − | 0.262743i | −0.00621562 | − | 0.00967169i | ||||
\(739\) | −3.05883 | + | 21.2746i | −0.112521 | + | 0.782599i | 0.852932 | + | 0.522022i | \(0.174822\pi\) |
−0.965453 | + | 0.260577i | \(0.916087\pi\) | |||||||
\(740\) | −15.3903 | − | 7.02852i | −0.565759 | − | 0.258373i | ||||
\(741\) | 36.2696 | − | 10.6497i | 1.33240 | − | 0.391227i | ||||
\(742\) | −1.73024 | + | 0.731371i | −0.0635192 | + | 0.0268495i | ||||
\(743\) | −23.3457 | + | 20.2291i | −0.856469 | + | 0.742135i | −0.967819 | − | 0.251646i | \(-0.919028\pi\) |
0.111350 | + | 0.993781i | \(0.464483\pi\) | |||||||
\(744\) | 0.225169 | + | 1.56608i | 0.00825508 | + | 0.0574154i | ||||
\(745\) | 0.369520 | − | 1.25847i | 0.0135381 | − | 0.0461067i | ||||
\(746\) | −0.0155280 | − | 0.0134551i | −0.000568519 | − | 0.000492625i | ||||
\(747\) | −2.06226 | − | 1.32533i | −0.0754541 | − | 0.0484914i | ||||
\(748\) | −26.7942 | + | 41.6926i | −0.979693 | + | 1.52443i | ||||
\(749\) | −29.1127 | − | 26.7151i | −1.06375 | − | 0.976147i | ||||
\(750\) | 0.179880 | − | 0.612615i | 0.00656829 | − | 0.0223695i | ||||
\(751\) | 43.9940 | − | 6.32538i | 1.60536 | − | 0.230816i | 0.719408 | − | 0.694587i | \(-0.244413\pi\) |
0.885955 | + | 0.463771i | \(0.153504\pi\) | |||||||
\(752\) | 4.27304 | − | 3.70261i | 0.155822 | − | 0.135020i | ||||
\(753\) | −1.04487 | + | 0.477178i | −0.0380773 | + | 0.0173893i | ||||
\(754\) | 0.551876 | + | 1.87952i | 0.0200982 | + | 0.0684480i | ||||
\(755\) | −0.114483 | + | 0.250683i | −0.00416647 | + | 0.00912329i | ||||
\(756\) | −5.20573 | − | 0.900455i | −0.189331 | − | 0.0327492i | ||||
\(757\) | 25.2396 | + | 39.2735i | 0.917348 | + | 1.42742i | 0.904011 | + | 0.427510i | \(0.140609\pi\) |
0.0133369 | + | 0.999911i | \(0.495755\pi\) | |||||||
\(758\) | 1.36712i | 0.0496562i | ||||||||
\(759\) | 7.13615 | + | 22.3843i | 0.259026 | + | 0.812498i | ||||
\(760\) | −1.72815 | −0.0626867 | ||||||||
\(761\) | −22.9561 | − | 35.7204i | −0.832159 | − | 1.29486i | −0.953238 | − | 0.302221i | \(-0.902272\pi\) |
0.121079 | − | 0.992643i | \(-0.461365\pi\) | |||||||
\(762\) | −0.811424 | − | 0.116665i | −0.0293948 | − | 0.00422633i | ||||
\(763\) | −8.56058 | − | 4.20810i | −0.309914 | − | 0.152343i | ||||
\(764\) | 2.48101 | + | 8.44955i | 0.0897598 | + | 0.305694i | ||||
\(765\) | −2.96110 | − | 6.48391i | −0.107059 | − | 0.234426i | ||||
\(766\) | 0.949422 | + | 1.09569i | 0.0343040 | + | 0.0395890i | ||||
\(767\) | 6.20268 | + | 43.1406i | 0.223966 | + | 1.55772i | ||||
\(768\) | 4.43574 | − | 15.1067i | 0.160061 | − | 0.545118i | ||||
\(769\) | −22.5177 | + | 25.9868i | −0.812009 | + | 0.937109i | −0.998975 | − | 0.0452576i | \(-0.985589\pi\) |
0.186966 | + | 0.982366i | \(0.440135\pi\) | |||||||
\(770\) | 0.582315 | − | 0.851756i | 0.0209852 | − | 0.0306951i | ||||
\(771\) | −21.2713 | − | 13.6702i | −0.766066 | − | 0.492321i | ||||
\(772\) | −28.0804 | + | 32.4065i | −1.01064 | + | 1.16634i | ||||
\(773\) | 19.1415 | + | 5.62046i | 0.688473 | + | 0.202154i | 0.607213 | − | 0.794539i | \(-0.292287\pi\) |
0.0812598 | + | 0.996693i | \(0.474106\pi\) | |||||||
\(774\) | 0.275562 | − | 0.0396198i | 0.00990487 | − | 0.00142411i | ||||
\(775\) | 15.9713 | − | 13.8392i | 0.573706 | − | 0.497119i | ||||
\(776\) | −0.705183 | − | 1.54414i | −0.0253146 | − | 0.0554313i | ||||
\(777\) | −15.4102 | + | 4.05195i | −0.552837 | + | 0.145363i | ||||
\(778\) | 1.46108 | + | 0.667253i | 0.0523823 | + | 0.0239222i | ||||
\(779\) | 29.6770 | + | 4.26691i | 1.06329 | + | 0.152878i | ||||
\(780\) | 16.4477 | − | 10.5703i | 0.588923 | − | 0.378478i | ||||
\(781\) | 25.3143i | 0.905815i | ||||||||
\(782\) | 1.23707 | − | 0.599733i | 0.0442375 | − | 0.0214464i | ||||
\(783\) | − | 4.97465i | − | 0.177780i | ||||||
\(784\) | 24.2617 | − | 13.7063i | 0.866488 | − | 0.489512i | ||||
\(785\) | −0.955128 | + | 6.64306i | −0.0340900 | + | 0.237101i | ||||
\(786\) | −0.126524 | + | 0.277048i | −0.00451295 | + | 0.00988198i | ||||
\(787\) | 10.6268 | − | 3.12030i | 0.378804 | − | 0.111227i | −0.0867872 | − | 0.996227i | \(-0.527660\pi\) |
0.465591 | + | 0.885000i | \(0.345842\pi\) | |||||||
\(788\) | −21.6402 | − | 47.3855i | −0.770901 | − | 1.68804i | ||||
\(789\) | 0.256057 | + | 0.295506i | 0.00911589 | + | 0.0105203i | ||||
\(790\) | −0.396788 | + | 0.0570495i | −0.0141171 | + | 0.00202973i | ||||
\(791\) | −10.1570 | + | 31.2687i | −0.361142 | + | 1.11179i | ||||
\(792\) | −0.837255 | − | 0.725486i | −0.0297506 | − | 0.0257790i | ||||
\(793\) | −17.3113 | + | 26.9369i | −0.614742 | + | 0.956557i | ||||
\(794\) | −0.477496 | + | 0.742998i | −0.0169457 | + | 0.0263680i | ||||
\(795\) | −11.5613 | + | 13.3424i | −0.410037 | + | 0.473208i | ||||
\(796\) | 14.1052 | + | 4.14165i | 0.499945 | + | 0.146797i | ||||
\(797\) | −5.59847 | − | 38.9382i | −0.198308 | − | 1.37926i | −0.809193 | − | 0.587543i | \(-0.800095\pi\) |
0.610885 | − | 0.791719i | \(-0.290814\pi\) | |||||||
\(798\) | −0.629418 | + | 0.514757i | −0.0222811 | + | 0.0182222i | ||||
\(799\) | 6.54566 | − | 2.98930i | 0.231569 | − | 0.105754i | ||||
\(800\) | 1.96359 | − | 0.576562i | 0.0694234 | − | 0.0203846i | ||||
\(801\) | 6.03464 | − | 13.2140i | 0.213224 | − | 0.466895i | ||||
\(802\) | −1.25573 | − | 0.180547i | −0.0443413 | − | 0.00637532i | ||||
\(803\) | 12.2944 | − | 7.90115i | 0.433861 | − | 0.278825i | ||||
\(804\) | 7.93173 | 0.279730 | ||||||||
\(805\) | 16.2790 | − | 7.32713i | 0.573758 | − | 0.258247i | ||||
\(806\) | −2.75498 | −0.0970400 | ||||||||
\(807\) | 22.2972 | − | 14.3295i | 0.784898 | − | 0.504423i | ||||
\(808\) | 0.0207422 | + | 0.00298228i | 0.000729709 | + | 0.000104916i | ||||
\(809\) | 6.61813 | − | 14.4917i | 0.232681 | − | 0.509500i | −0.756891 | − | 0.653542i | \(-0.773282\pi\) |
0.989572 | + | 0.144041i | \(0.0460098\pi\) | |||||||
\(810\) | 0.0763807 | − | 0.0224274i | 0.00268374 | − | 0.000788018i | ||||
\(811\) | 18.4801 | − | 8.43960i | 0.648925 | − | 0.296354i | −0.0636264 | − | 0.997974i | \(-0.520267\pi\) |
0.712552 | + | 0.701619i | \(0.247539\pi\) | |||||||
\(812\) | 16.6380 | + | 20.3441i | 0.583879 | + | 0.713937i | ||||
\(813\) | −0.516280 | − | 3.59080i | −0.0181067 | − | 0.125935i | ||||
\(814\) | −1.60171 | − | 0.470305i | −0.0561400 | − | 0.0164842i | ||||
\(815\) | −10.5497 | + | 12.1750i | −0.369541 | + | 0.426473i | ||||
\(816\) | 10.9038 | − | 16.9667i | 0.381710 | − | 0.593953i | ||||
\(817\) | −14.4488 | + | 22.4827i | −0.505498 | + | 0.786570i | ||||
\(818\) | −0.226098 | − | 0.195915i | −0.00790532 | − | 0.00685000i | ||||
\(819\) | 5.68848 | − | 17.5121i | 0.198772 | − | 0.611924i | ||||
\(820\) | 15.3496 | − | 2.20694i | 0.536032 | − | 0.0770697i | ||||
\(821\) | −23.4037 | − | 27.0094i | −0.816796 | − | 0.942633i | 0.182380 | − | 0.983228i | \(-0.441620\pi\) |
−0.999176 | + | 0.0405952i | \(0.987075\pi\) | |||||||
\(822\) | 0.188172 | + | 0.412038i | 0.00656324 | + | 0.0143715i | ||||
\(823\) | 11.9078 | − | 3.49644i | 0.415079 | − | 0.121878i | −0.0675236 | − | 0.997718i | \(-0.521510\pi\) |
0.482602 | + | 0.875840i | \(0.339692\pi\) | |||||||
\(824\) | −0.247501 | + | 0.541952i | −0.00862211 | + | 0.0188798i | ||||
\(825\) | −2.10588 | + | 14.6468i | −0.0733175 | + | 0.509934i | ||||
\(826\) | −0.484191 | − | 0.802794i | −0.0168472 | − | 0.0279328i | ||||
\(827\) | 22.5811i | 0.785223i | 0.919704 | + | 0.392612i | \(0.128428\pi\) | ||||
−0.919704 | + | 0.392612i | \(0.871572\pi\) | |||||||
\(828\) | −2.90871 | − | 9.12388i | −0.101085 | − | 0.317077i | ||||
\(829\) | − | 10.3389i | − | 0.359085i | −0.983750 | − | 0.179542i | \(-0.942538\pi\) | ||
0.983750 | − | 0.179542i | \(-0.0574617\pi\) | |||||||
\(830\) | −0.164167 | + | 0.105503i | −0.00569830 | + | 0.00366208i | ||||
\(831\) | 5.76014 | + | 0.828183i | 0.199817 | + | 0.0287293i | ||||
\(832\) | 50.1583 | + | 22.9065i | 1.73893 | + | 0.794141i | ||||
\(833\) | 34.5418 | − | 8.03822i | 1.19680 | − | 0.278508i | ||||
\(834\) | 0.0590483 | + | 0.129298i | 0.00204468 | + | 0.00447722i | ||||
\(835\) | 13.7789 | − | 11.9395i | 0.476837 | − | 0.413182i | ||||
\(836\) | 52.5918 | − | 7.56156i | 1.81893 | − | 0.261522i | ||||
\(837\) | 6.71302 | + | 1.97112i | 0.232036 | + | 0.0681319i | ||||
\(838\) | 1.12763 | − | 1.30136i | 0.0389534 | − | 0.0449546i | ||||
\(839\) | 2.73797 | + | 1.75958i | 0.0945251 | + | 0.0607476i | 0.587049 | − | 0.809551i | \(-0.300289\pi\) |
−0.492524 | + | 0.870299i | \(0.663926\pi\) | |||||||
\(840\) | −0.475086 | + | 0.694911i | −0.0163920 | + | 0.0239767i | ||||
\(841\) | 2.78502 | − | 3.21408i | 0.0960350 | − | 0.110830i | ||||
\(842\) | 0.453769 | − | 1.54539i | 0.0156379 | − | 0.0532578i | ||||
\(843\) | 0.604082 | + | 4.20148i | 0.0208057 | + | 0.144707i | ||||
\(844\) | 16.4945 | + | 19.0357i | 0.567764 | + | 0.655235i | ||||
\(845\) | 20.7094 | + | 45.3473i | 0.712426 | + | 1.55999i | ||||
\(846\) | 0.0226409 | + | 0.0771080i | 0.000778412 | + | 0.00265103i | ||||
\(847\) | −15.1723 | + | 30.8651i | −0.521325 | + | 1.06054i | ||||
\(848\) | −49.4439 | − | 7.10896i | −1.69791 | − | 0.244123i | ||||
\(849\) | −3.22379 | − | 5.01631i | −0.110640 | − | 0.172159i | ||||
\(850\) | 0.865875 | 0.0296993 | ||||||||
\(851\) | −19.4115 | − | 21.3871i | −0.665419 | − | 0.733139i | ||||
\(852\) | − | 10.3181i | − | 0.353493i | ||||||
\(853\) | −8.19963 | − | 12.7589i | −0.280750 | − | 0.436855i | 0.672027 | − | 0.740527i | \(-0.265424\pi\) |
−0.952777 | + | 0.303671i | \(0.901788\pi\) | |||||||
\(854\) | 0.117394 | − | 0.678679i | 0.00401713 | − | 0.0232239i | ||||
\(855\) | −3.17456 | + | 6.95131i | −0.108568 | + | 0.237730i | ||||
\(856\) | 0.951492 | + | 3.24048i | 0.0325213 | + | 0.110757i | ||||
\(857\) | −23.9067 | + | 10.9178i | −0.816636 | + | 0.372945i | −0.779529 | − | 0.626366i | \(-0.784541\pi\) |
−0.0371069 | + | 0.999311i | \(0.511814\pi\) | |||||||
\(858\) | 1.45787 | − | 1.26325i | 0.0497708 | − | 0.0431266i | ||||
\(859\) | −39.3581 | + | 5.65884i | −1.34288 | + | 0.193077i | −0.776005 | − | 0.630727i | \(-0.782757\pi\) |
−0.566875 | + | 0.823804i | \(0.691848\pi\) | |||||||
\(860\) | −3.89436 | + | 13.2630i | −0.132797 | + | 0.452264i | ||||
\(861\) | 9.87425 | − | 10.7604i | 0.336514 | − | 0.366715i | ||||
\(862\) | 0.625414 | − | 0.973164i | 0.0213017 | − | 0.0331461i | ||||
\(863\) | −24.6111 | − | 15.8166i | −0.837772 | − | 0.538403i | 0.0499669 | − | 0.998751i | \(-0.484088\pi\) |
−0.887739 | + | 0.460348i | \(0.847725\pi\) | |||||||
\(864\) | 0.512037 | + | 0.443682i | 0.0174198 | + | 0.0150944i | ||||
\(865\) | −5.60448 | + | 19.0871i | −0.190558 | + | 0.648982i | ||||
\(866\) | −0.268793 | − | 1.86950i | −0.00913396 | − | 0.0635281i | ||||
\(867\) | 6.55114 | − | 5.67659i | 0.222488 | − | 0.192787i | ||||
\(868\) | −34.0457 | + | 14.3911i | −1.15559 | + | 0.488465i | ||||
\(869\) | 23.6701 | − | 6.95017i | 0.802954 | − | 0.235768i | ||||
\(870\) | −0.360222 | − | 0.164508i | −0.0122127 | − | 0.00557734i | ||||
\(871\) | −3.93420 | + | 27.3630i | −0.133305 | + | 0.927159i | ||||
\(872\) | 0.440801 | + | 0.685899i | 0.0149274 | + | 0.0232275i | ||||
\(873\) | −7.50651 | −0.254057 | ||||||||
\(874\) | −1.35442 | − | 0.581255i | −0.0458141 | − | 0.0196612i | ||||
\(875\) | 29.8435 | + | 0.850155i | 1.00889 | + | 0.0287405i | ||||
\(876\) | −5.01123 | + | 3.22052i | −0.169314 | + | 0.108811i | ||||
\(877\) | 0.444723 | − | 3.09312i | 0.0150172 | − | 0.104447i | −0.980934 | − | 0.194340i | \(-0.937743\pi\) |
0.995951 | + | 0.0898930i | \(0.0286525\pi\) | |||||||
\(878\) | 1.77978 | + | 0.812797i | 0.0600646 | + | 0.0274306i | ||||
\(879\) | 6.01941 | + | 20.5002i | 0.203030 | + | 0.691456i | ||||
\(880\) | 24.9578 | − | 11.3979i | 0.841328 | − | 0.384222i | ||||
\(881\) | −20.3571 | − | 23.4934i | −0.685850 | − | 0.791513i | 0.300919 | − | 0.953650i | \(-0.402707\pi\) |
−0.986768 | + | 0.162137i | \(0.948161\pi\) | |||||||
\(882\) | 0.0339569 | + | 0.394608i | 0.00114339 | + | 0.0132871i | ||||
\(883\) | 40.6202 | + | 11.9272i | 1.36698 | + | 0.401381i | 0.881218 | − | 0.472711i | \(-0.156724\pi\) |
0.485761 | + | 0.874092i | \(0.338543\pi\) | |||||||
\(884\) | 53.2089 | + | 46.1058i | 1.78961 | + | 1.55070i | ||||
\(885\) | −7.41234 | − | 4.76362i | −0.249163 | − | 0.160127i | ||||
\(886\) | −0.793364 | − | 0.509864i | −0.0266536 | − | 0.0171292i | ||||
\(887\) | −21.4744 | − | 18.6077i | −0.721040 | − | 0.624785i | 0.215026 | − | 0.976608i | \(-0.431016\pi\) |
−0.936066 | + | 0.351824i | \(0.885562\pi\) | |||||||
\(888\) | 1.30677 | + | 0.383702i | 0.0438523 | + | 0.0128762i | ||||
\(889\) | −4.37267 | − | 38.0826i | −0.146655 | − | 1.27725i | ||||
\(890\) | −0.757286 | − | 0.873955i | −0.0253843 | − | 0.0292950i | ||||
\(891\) | −4.45619 | + | 2.03508i | −0.149288 | + | 0.0681776i | ||||
\(892\) | 7.40167 | + | 25.2078i | 0.247826 | + | 0.844019i | ||||
\(893\) | −7.01750 | − | 3.20478i | −0.234832 | − | 0.107244i | ||||
\(894\) | −0.00750668 | + | 0.0522101i | −0.000251061 | + | 0.00174617i | ||||
\(895\) | −5.50472 | + | 3.53767i | −0.184002 | + | 0.118251i | ||||
\(896\) | −4.76928 | − | 0.135863i | −0.159330 | − | 0.00453887i | ||||
\(897\) | 32.9184 | − | 5.50897i | 1.09911 | − | 0.183939i | ||||
\(898\) | 0.227034 | 0.00757624 | ||||||||
\(899\) | −18.8169 | − | 29.2796i | −0.627578 | − | 0.976531i | ||||
\(900\) | 0.858362 | − | 5.97004i | 0.0286121 | − | 0.199001i | ||||
\(901\) | −57.8296 | − | 26.4099i | −1.92658 | − | 0.879842i | ||||
\(902\) | 1.46806 | − | 0.431061i | 0.0488810 | − | 0.0143528i | ||||
\(903\) | 5.06846 | + | 11.9907i | 0.168668 | + | 0.399026i | ||||
\(904\) | 2.12374 | − | 1.84024i | 0.0706347 | − | 0.0612053i | ||||
\(905\) | 2.47928 | + | 17.2438i | 0.0824140 | + | 0.573202i | ||||
\(906\) | 0.00312244 | − | 0.0106340i | 0.000103736 | − | 0.000353292i | ||||
\(907\) | −4.70602 | − | 4.07779i | −0.156261 | − | 0.135401i | 0.573221 | − | 0.819400i | \(-0.305693\pi\) |
−0.729482 | + | 0.684000i | \(0.760239\pi\) | |||||||
\(908\) | 5.18078 | + | 3.32948i | 0.171930 | + | 0.110493i | ||||
\(909\) | 0.0500986 | − | 0.0779549i | 0.00166167 | − | 0.00258560i | ||||
\(910\) | −1.07997 | − | 0.991024i | −0.0358005 | − | 0.0328521i | ||||
\(911\) | 14.0611 | − | 47.8876i | 0.465864 | − | 1.58659i | −0.306800 | − | 0.951774i | \(-0.599258\pi\) |
0.772665 | − | 0.634815i | \(-0.218923\pi\) | |||||||
\(912\) | −21.4021 | + | 3.07716i | −0.708694 | + | 0.101895i | ||||
\(913\) | 9.07595 | − | 7.86436i | 0.300370 | − | 0.260272i | ||||
\(914\) | −0.0381794 | + | 0.0174360i | −0.00126286 | + | 0.000576731i | ||||
\(915\) | −1.82372 | − | 6.21101i | −0.0602902 | − | 0.205330i | ||||
\(916\) | −6.01280 | + | 13.1662i | −0.198668 | + | 0.435023i | ||||
\(917\) | −14.0335 | − | 2.42744i | −0.463428 | − | 0.0801610i | ||||
\(918\) | 0.154981 | + | 0.241155i | 0.00511513 | + | 0.00795929i | ||||
\(919\) | − | 33.8223i | − | 1.11569i | −0.829944 | − | 0.557847i | \(-0.811628\pi\) | ||
0.829944 | − | 0.557847i | \(-0.188372\pi\) | |||||||
\(920\) | −1.51494 | − | 0.182337i | −0.0499460 | − | 0.00601148i | ||||
\(921\) | 15.1506 | 0.499229 | ||||||||
\(922\) | 0.828383 | + | 1.28899i | 0.0272813 | + | 0.0424506i | ||||
\(923\) | 35.5956 | + | 5.11788i | 1.17164 | + | 0.168457i | ||||
\(924\) | 11.4174 | − | 23.2265i | 0.375604 | − | 0.764096i | ||||
\(925\) | −5.12505 | − | 17.4543i | −0.168511 | − | 0.573895i | ||||
\(926\) | −0.120667 | − | 0.264223i | −0.00396535 | − | 0.00868291i | ||||
\(927\) | 1.72529 | + | 1.99109i | 0.0566660 | + | 0.0653960i | ||||
\(928\) | −0.479663 | − | 3.33613i | −0.0157457 | − | 0.109514i | ||||
\(929\) | −2.81000 | + | 9.56998i | −0.0921931 | + | 0.313981i | −0.992659 | − | 0.120945i | \(-0.961407\pi\) |
0.900466 | + | 0.434926i | \(0.143226\pi\) | |||||||
\(930\) | 0.364726 | − | 0.420916i | 0.0119598 | − | 0.0138024i | ||||
\(931\) | −30.7635 | − | 22.3434i | −1.00823 | − | 0.732275i | ||||
\(932\) | −43.4352 | − | 27.9141i | −1.42277 | − | 0.914357i | ||||
\(933\) | −9.94158 | + | 11.4732i | −0.325473 | + | 0.375615i | ||||
\(934\) | −0.273429 | − | 0.0802860i | −0.00894687 | − | 0.00262704i | ||||
\(935\) | 34.5642 | − | 4.96958i | 1.13037 | − | 0.162523i | ||||
\(936\) | −1.18941 | + | 1.03063i | −0.0388771 | + | 0.0336872i | ||||
\(937\) | −19.7476 | − | 43.2413i | −0.645127 | − | 1.41263i | −0.895755 | − | 0.444548i | \(-0.853364\pi\) |
0.250627 | − | 0.968084i | \(-0.419363\pi\) | |||||||
\(938\) | −0.151214 | − | 0.575089i | −0.00493731 | − | 0.0187773i | ||||
\(939\) | 15.9175 | + | 7.26930i | 0.519450 | + | 0.237225i | ||||
\(940\) | −3.94958 | − | 0.567864i | −0.128821 | − | 0.0185217i | ||||
\(941\) | 27.7837 | − | 17.8555i | 0.905721 | − | 0.582072i | −0.00276046 | − | 0.999996i | \(-0.500879\pi\) |
0.908482 | + | 0.417924i | \(0.137242\pi\) | |||||||
\(942\) | − | 0.269904i | − | 0.00879394i | ||||||
\(943\) | 25.5653 | + | 6.87168i | 0.832520 | + | 0.223773i | ||||
\(944\) | − | 24.9303i | − | 0.811411i | ||||||
\(945\) | 1.92249 | + | 3.18751i | 0.0625385 | + | 0.103690i | ||||
\(946\) | −0.194093 | + | 1.34995i | −0.00631052 | + | 0.0438906i | ||||
\(947\) | −13.6203 | + | 29.8244i | −0.442601 | + | 0.969162i | 0.548512 | + | 0.836143i | \(0.315195\pi\) |
−0.991113 | + | 0.133019i | \(0.957533\pi\) | |||||||
\(948\) | −9.64798 | + | 2.83290i | −0.313352 | + | 0.0920084i | ||||
\(949\) | −8.62458 | − | 18.8852i | −0.279966 | − | 0.613039i | ||||
\(950\) | −0.607901 | − | 0.701556i | −0.0197229 | − | 0.0227615i | ||||
\(951\) | −25.0538 | + | 3.60220i | −0.812426 | + | 0.116809i | ||||
\(952\) | −2.88302 | − | 0.936494i | −0.0934392 | − | 0.0303519i | ||||
\(953\) | 33.6263 | + | 29.1373i | 1.08926 | + | 0.943851i | 0.998645 | − | 0.0520353i | \(-0.0165708\pi\) |
0.0906164 | + | 0.995886i | \(0.471116\pi\) | |||||||
\(954\) | 0.383852 | − | 0.597285i | 0.0124277 | − | 0.0193378i | ||||
\(955\) | 3.35458 | − | 5.21983i | 0.108552 | − | 0.168910i | ||||
\(956\) | 26.1460 | − | 30.1741i | 0.845622 | − | 0.975899i | ||||
\(957\) | 23.3831 | + | 6.86591i | 0.755869 | + | 0.221943i | ||||
\(958\) | 0.117354 | + | 0.816212i | 0.00379152 | + | 0.0263706i | ||||
\(959\) | −16.3962 | + | 13.4093i | −0.529461 | + | 0.433009i | ||||
\(960\) | −10.1401 | + | 4.63083i | −0.327270 | + | 0.149459i | ||||
\(961\) | 17.2229 | − | 5.05709i | 0.555576 | − | 0.163132i | ||||
\(962\) | −0.985143 | + | 2.15716i | −0.0317623 | + | 0.0695497i | ||||
\(963\) | 14.7823 | + | 2.12538i | 0.476354 | + | 0.0684894i | ||||
\(964\) | −19.2381 | + | 12.3636i | −0.619617 | + | 0.398204i | ||||
\(965\) | 30.2129 | 0.972588 | ||||||||
\(966\) | −0.606073 | + | 0.384837i | −0.0195001 | + | 0.0123819i | ||||
\(967\) | −35.0398 | −1.12680 | −0.563402 | − | 0.826183i | \(-0.690508\pi\) | ||||
−0.563402 | + | 0.826183i | \(0.690508\pi\) | |||||||
\(968\) | 2.47300 | − | 1.58930i | 0.0794853 | − | 0.0510821i | ||||
\(969\) | −27.2386 | − | 3.91632i | −0.875030 | − | 0.125810i | ||||
\(970\) | −0.248234 | + | 0.543558i | −0.00797033 | + | 0.0174526i | ||||
\(971\) | −13.4477 | + | 3.94861i | −0.431558 | + | 0.126717i | −0.490295 | − | 0.871557i | \(-0.663111\pi\) |
0.0587368 | + | 0.998274i | \(0.481293\pi\) | |||||||
\(972\) | 1.81635 | − | 0.829500i | 0.0582595 | − | 0.0266062i | ||||
\(973\) | −5.14514 | + | 4.20785i | −0.164945 | + | 0.134897i | ||||
\(974\) | −0.199201 | − | 1.38548i | −0.00638282 | − | 0.0443935i | ||||
\(975\) | 20.1698 | + | 5.92238i | 0.645949 | + | 0.189668i | ||||
\(976\) | 11.9941 | − | 13.8419i | 0.383922 | − | 0.443069i | ||||
\(977\) | 3.57375 | − | 5.56086i | 0.114334 | − | 0.177908i | −0.779370 | − | 0.626564i | \(-0.784461\pi\) |
0.893705 | + | 0.448656i | \(0.148097\pi\) | |||||||
\(978\) | 0.350266 | − | 0.545025i | 0.0112003 | − | 0.0174280i | ||||
\(979\) | 53.7831 | + | 46.6033i | 1.71891 | + | 1.48945i | ||||
\(980\) | −18.5229 | − | 6.60559i | −0.591692 | − | 0.211008i | ||||
\(981\) | 3.56869 | − | 0.513100i | 0.113939 | − | 0.0163820i | ||||
\(982\) | −0.132777 | − | 0.153232i | −0.00423707 | − | 0.00488984i | ||||
\(983\) | −4.30178 | − | 9.41959i | −0.137206 | − | 0.300438i | 0.828540 | − | 0.559930i | \(-0.189172\pi\) |
−0.965745 | + | 0.259492i | \(0.916445\pi\) | |||||||
\(984\) | −1.19773 | + | 0.351684i | −0.0381821 | + | 0.0112113i | ||||
\(985\) | −15.2475 | + | 33.3874i | −0.485827 | + | 1.06381i | ||||
\(986\) | 0.202947 | − | 1.41152i | 0.00646314 | − | 0.0449521i | ||||
\(987\) | −3.21786 | + | 1.94079i | −0.102426 | + | 0.0617761i | ||||
\(988\) | − | 75.4806i | − | 2.40136i | ||||||
\(989\) | −15.0382 | + | 18.1843i | −0.478188 | + | 0.578228i | ||||
\(990\) | 0.389978i | 0.0123943i | ||||||||
\(991\) | 47.5975 | − | 30.5891i | 1.51198 | − | 0.971693i | 0.518831 | − | 0.854877i | \(-0.326367\pi\) |
0.993154 | − | 0.116816i | \(-0.0372689\pi\) | |||||||
\(992\) | 4.69198 | + | 0.674605i | 0.148971 | + | 0.0214187i | ||||
\(993\) | 11.3553 | + | 5.18581i | 0.360351 | + | 0.164567i | ||||
\(994\) | −0.748115 | + | 0.196709i | −0.0237288 | + | 0.00623924i | ||||
\(995\) | −4.30286 | − | 9.42194i | −0.136410 | − | 0.298696i | ||||
\(996\) | −3.69937 | + | 3.20553i | −0.117219 | + | 0.101571i | ||||
\(997\) | 13.3964 | − | 1.92611i | 0.424269 | − | 0.0610006i | 0.0731262 | − | 0.997323i | \(-0.476702\pi\) |
0.351142 | + | 0.936322i | \(0.385793\pi\) | |||||||
\(998\) | −0.394181 | − | 0.115742i | −0.0124776 | − | 0.00366375i | ||||
\(999\) | 3.94388 | − | 4.55148i | 0.124779 | − | 0.144003i |
(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 | 483.2.r.a.34.17 | ✓ | 320 | |
7.6 | odd | 2 | inner | 483.2.r.a.34.18 | yes | 320 | |
23.21 | odd | 22 | inner | 483.2.r.a.412.18 | yes | 320 | |
161.90 | even | 22 | inner | 483.2.r.a.412.17 | yes | 320 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.r.a.34.17 | ✓ | 320 | 1.1 | even | 1 | trivial | |
483.2.r.a.34.18 | yes | 320 | 7.6 | odd | 2 | inner | |
483.2.r.a.412.17 | yes | 320 | 161.90 | even | 22 | inner | |
483.2.r.a.412.18 | yes | 320 | 23.21 | odd | 22 | inner |