Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(17,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 1, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.bi (of order \(6\), degree \(2\), 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: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(34\) |
Relative dimension: | \(17\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 17.4 | ||
Character | \(\chi\) | \(=\) | 546.17 |
Dual form | 546.2.bi.e.257.4 |
$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.00000 | −0.707107 | ||||||||
\(3\) | −1.31411 | + | 1.12832i | −0.758701 | + | 0.651438i | ||||
\(4\) | 1.00000 | 0.500000 | ||||||||
\(5\) | 1.62172 | − | 0.936303i | 0.725257 | − | 0.418728i | −0.0914273 | − | 0.995812i | \(-0.529143\pi\) |
0.816685 | + | 0.577084i | \(0.195810\pi\) | |||||||
\(6\) | 1.31411 | − | 1.12832i | 0.536483 | − | 0.460637i | ||||
\(7\) | 2.04281 | − | 1.68135i | 0.772110 | − | 0.635489i | ||||
\(8\) | −1.00000 | −0.353553 | ||||||||
\(9\) | 0.453768 | − | 2.96548i | 0.151256 | − | 0.988495i | ||||
\(10\) | −1.62172 | + | 0.936303i | −0.512834 | + | 0.296085i | ||||
\(11\) | −2.54994 | − | 4.41662i | −0.768835 | − | 1.33166i | −0.938195 | − | 0.346107i | \(-0.887503\pi\) |
0.169360 | − | 0.985554i | \(-0.445830\pi\) | |||||||
\(12\) | −1.31411 | + | 1.12832i | −0.379351 | + | 0.325719i | ||||
\(13\) | −3.20727 | + | 1.64725i | −0.889536 | + | 0.456865i | ||||
\(14\) | −2.04281 | + | 1.68135i | −0.545964 | + | 0.449359i | ||||
\(15\) | −1.07467 | + | 3.06024i | −0.277479 | + | 0.790150i | ||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | −2.96212 | −0.718421 | −0.359210 | − | 0.933257i | \(-0.616954\pi\) | ||||
−0.359210 | + | 0.933257i | \(0.616954\pi\) | |||||||
\(18\) | −0.453768 | + | 2.96548i | −0.106954 | + | 0.698971i | ||||
\(19\) | −1.30077 | + | 2.25300i | −0.298417 | + | 0.516874i | −0.975774 | − | 0.218781i | \(-0.929792\pi\) |
0.677357 | + | 0.735655i | \(0.263125\pi\) | |||||||
\(20\) | 1.62172 | − | 0.936303i | 0.362629 | − | 0.209364i | ||||
\(21\) | −0.787372 | + | 4.51443i | −0.171819 | + | 0.985129i | ||||
\(22\) | 2.54994 | + | 4.41662i | 0.543648 | + | 0.941627i | ||||
\(23\) | − | 6.06950i | − | 1.26558i | −0.774324 | − | 0.632789i | \(-0.781910\pi\) | ||
0.774324 | − | 0.632789i | \(-0.218090\pi\) | |||||||
\(24\) | 1.31411 | − | 1.12832i | 0.268241 | − | 0.230318i | ||||
\(25\) | −0.746672 | + | 1.29327i | −0.149334 | + | 0.258655i | ||||
\(26\) | 3.20727 | − | 1.64725i | 0.628997 | − | 0.323053i | ||||
\(27\) | 2.74973 | + | 4.40897i | 0.529185 | + | 0.848506i | ||||
\(28\) | 2.04281 | − | 1.68135i | 0.386055 | − | 0.317745i | ||||
\(29\) | −7.30144 | − | 4.21549i | −1.35584 | − | 0.782796i | −0.366782 | − | 0.930307i | \(-0.619541\pi\) |
−0.989060 | + | 0.147511i | \(0.952874\pi\) | |||||||
\(30\) | 1.07467 | − | 3.06024i | 0.196207 | − | 0.558720i | ||||
\(31\) | 4.09797 | − | 7.09789i | 0.736017 | − | 1.27482i | −0.218258 | − | 0.975891i | \(-0.570038\pi\) |
0.954276 | − | 0.298928i | \(-0.0966291\pi\) | |||||||
\(32\) | −1.00000 | −0.176777 | ||||||||
\(33\) | 8.33428 | + | 2.92677i | 1.45081 | + | 0.509485i | ||||
\(34\) | 2.96212 | 0.508000 | ||||||||
\(35\) | 1.73863 | − | 4.63937i | 0.293881 | − | 0.784197i | ||||
\(36\) | 0.453768 | − | 2.96548i | 0.0756279 | − | 0.494247i | ||||
\(37\) | 6.37656i | 1.04830i | 0.851626 | + | 0.524150i | \(0.175617\pi\) | ||||
−0.851626 | + | 0.524150i | \(0.824383\pi\) | |||||||
\(38\) | 1.30077 | − | 2.25300i | 0.211013 | − | 0.365485i | ||||
\(39\) | 2.35607 | − | 5.78351i | 0.377273 | − | 0.926102i | ||||
\(40\) | −1.62172 | + | 0.936303i | −0.256417 | + | 0.148043i | ||||
\(41\) | −4.85500 | − | 2.80304i | −0.758223 | − | 0.437761i | 0.0704341 | − | 0.997516i | \(-0.477562\pi\) |
−0.828658 | + | 0.559756i | \(0.810895\pi\) | |||||||
\(42\) | 0.787372 | − | 4.51443i | 0.121494 | − | 0.696591i | ||||
\(43\) | −4.87733 | − | 8.44778i | −0.743786 | − | 1.28827i | −0.950760 | − | 0.309928i | \(-0.899695\pi\) |
0.206974 | − | 0.978346i | \(-0.433638\pi\) | |||||||
\(44\) | −2.54994 | − | 4.41662i | −0.384417 | − | 0.665831i | ||||
\(45\) | −2.04071 | − | 5.23406i | −0.304211 | − | 0.780248i | ||||
\(46\) | 6.06950i | 0.894899i | ||||||||
\(47\) | 2.70708 | − | 1.56293i | 0.394868 | − | 0.227977i | −0.289400 | − | 0.957208i | \(-0.593456\pi\) |
0.684267 | + | 0.729232i | \(0.260122\pi\) | |||||||
\(48\) | −1.31411 | + | 1.12832i | −0.189675 | + | 0.162860i | ||||
\(49\) | 1.34615 | − | 6.86934i | 0.192307 | − | 0.981335i | ||||
\(50\) | 0.746672 | − | 1.29327i | 0.105595 | − | 0.182897i | ||||
\(51\) | 3.89256 | − | 3.34224i | 0.545067 | − | 0.468007i | ||||
\(52\) | −3.20727 | + | 1.64725i | −0.444768 | + | 0.228433i | ||||
\(53\) | 8.21797 | + | 4.74465i | 1.12883 | + | 0.651728i | 0.943639 | − | 0.330976i | \(-0.107378\pi\) |
0.185186 | + | 0.982703i | \(0.440711\pi\) | |||||||
\(54\) | −2.74973 | − | 4.40897i | −0.374191 | − | 0.599985i | ||||
\(55\) | −8.27059 | − | 4.77503i | −1.11521 | − | 0.643865i | ||||
\(56\) | −2.04281 | + | 1.68135i | −0.272982 | + | 0.224679i | ||||
\(57\) | −0.832761 | − | 4.42838i | −0.110302 | − | 0.586554i | ||||
\(58\) | 7.30144 | + | 4.21549i | 0.958726 | + | 0.553520i | ||||
\(59\) | − | 2.20283i | − | 0.286784i | −0.989666 | − | 0.143392i | \(-0.954199\pi\) | ||
0.989666 | − | 0.143392i | \(-0.0458009\pi\) | |||||||
\(60\) | −1.07467 | + | 3.06024i | −0.138739 | + | 0.395075i | ||||
\(61\) | 5.11154 | + | 2.95115i | 0.654466 | + | 0.377856i | 0.790165 | − | 0.612894i | \(-0.209995\pi\) |
−0.135699 | + | 0.990750i | \(0.543328\pi\) | |||||||
\(62\) | −4.09797 | + | 7.09789i | −0.520443 | + | 0.901433i | ||||
\(63\) | −4.05904 | − | 6.82086i | −0.511392 | − | 0.859348i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | −3.65898 | + | 5.67436i | −0.453840 | + | 0.703818i | ||||
\(66\) | −8.33428 | − | 2.92677i | −1.02588 | − | 0.360260i | ||||
\(67\) | 9.56582 | − | 5.52283i | 1.16865 | − | 0.674721i | 0.215289 | − | 0.976550i | \(-0.430931\pi\) |
0.953362 | + | 0.301830i | \(0.0975975\pi\) | |||||||
\(68\) | −2.96212 | −0.359210 | ||||||||
\(69\) | 6.84837 | + | 7.97599i | 0.824447 | + | 0.960196i | ||||
\(70\) | −1.73863 | + | 4.63937i | −0.207806 | + | 0.554511i | ||||
\(71\) | 7.27923 | + | 12.6080i | 0.863886 | + | 1.49629i | 0.868149 | + | 0.496303i | \(0.165310\pi\) |
−0.00426326 | + | 0.999991i | \(0.501357\pi\) | |||||||
\(72\) | −0.453768 | + | 2.96548i | −0.0534770 | + | 0.349486i | ||||
\(73\) | 1.99779 | − | 3.46027i | 0.233823 | − | 0.404994i | −0.725107 | − | 0.688636i | \(-0.758210\pi\) |
0.958930 | + | 0.283643i | \(0.0915429\pi\) | |||||||
\(74\) | − | 6.37656i | − | 0.741260i | ||||||
\(75\) | −0.478024 | − | 2.54199i | −0.0551975 | − | 0.293524i | ||||
\(76\) | −1.30077 | + | 2.25300i | −0.149209 | + | 0.258437i | ||||
\(77\) | −12.6349 | − | 4.73499i | −1.43988 | − | 0.539602i | ||||
\(78\) | −2.35607 | + | 5.78351i | −0.266772 | + | 0.654853i | ||||
\(79\) | −5.14630 | − | 8.91365i | −0.579004 | − | 1.00286i | −0.995594 | − | 0.0937696i | \(-0.970108\pi\) |
0.416590 | − | 0.909094i | \(-0.363225\pi\) | |||||||
\(80\) | 1.62172 | − | 0.936303i | 0.181314 | − | 0.104682i | ||||
\(81\) | −8.58819 | − | 2.69128i | −0.954243 | − | 0.299031i | ||||
\(82\) | 4.85500 | + | 2.80304i | 0.536145 | + | 0.309543i | ||||
\(83\) | 9.63409i | 1.05748i | 0.848784 | + | 0.528739i | \(0.177335\pi\) | ||||
−0.848784 | + | 0.528739i | \(0.822665\pi\) | |||||||
\(84\) | −0.787372 | + | 4.51443i | −0.0859094 | + | 0.492564i | ||||
\(85\) | −4.80375 | + | 2.77345i | −0.521040 | + | 0.300823i | ||||
\(86\) | 4.87733 | + | 8.44778i | 0.525936 | + | 0.910948i | ||||
\(87\) | 14.3513 | − | 2.69878i | 1.53862 | − | 0.289340i | ||||
\(88\) | 2.54994 | + | 4.41662i | 0.271824 | + | 0.470813i | ||||
\(89\) | − | 14.7628i | − | 1.56486i | −0.622741 | − | 0.782428i | \(-0.713981\pi\) | ||
0.622741 | − | 0.782428i | \(-0.286019\pi\) | |||||||
\(90\) | 2.04071 | + | 5.23406i | 0.215109 | + | 0.551719i | ||||
\(91\) | −3.78224 | + | 8.75755i | −0.396486 | + | 0.918041i | ||||
\(92\) | − | 6.06950i | − | 0.632789i | ||||||
\(93\) | 2.62354 | + | 13.9512i | 0.272049 | + | 1.44668i | ||||
\(94\) | −2.70708 | + | 1.56293i | −0.279214 | + | 0.161204i | ||||
\(95\) | 4.87167i | 0.499822i | ||||||||
\(96\) | 1.31411 | − | 1.12832i | 0.134121 | − | 0.115159i | ||||
\(97\) | 5.83860 | + | 10.1127i | 0.592820 | + | 1.02679i | 0.993851 | + | 0.110729i | \(0.0353187\pi\) |
−0.401031 | + | 0.916065i | \(0.631348\pi\) | |||||||
\(98\) | −1.34615 | + | 6.86934i | −0.135982 | + | 0.693909i | ||||
\(99\) | −14.2545 | + | 5.55768i | −1.43263 | + | 0.558568i | ||||
\(100\) | −0.746672 | + | 1.29327i | −0.0746672 | + | 0.129327i | ||||
\(101\) | 3.15026 | + | 5.45640i | 0.313462 | + | 0.542932i | 0.979109 | − | 0.203334i | \(-0.0651778\pi\) |
−0.665647 | + | 0.746267i | \(0.731844\pi\) | |||||||
\(102\) | −3.89256 | + | 3.34224i | −0.385420 | + | 0.330931i | ||||
\(103\) | 4.99182 | − | 2.88203i | 0.491859 | − | 0.283975i | −0.233486 | − | 0.972360i | \(-0.575013\pi\) |
0.725345 | + | 0.688385i | \(0.241680\pi\) | |||||||
\(104\) | 3.20727 | − | 1.64725i | 0.314498 | − | 0.161526i | ||||
\(105\) | 2.94997 | + | 8.05838i | 0.287888 | + | 0.786417i | ||||
\(106\) | −8.21797 | − | 4.74465i | −0.798200 | − | 0.460841i | ||||
\(107\) | − | 6.14671i | − | 0.594225i | −0.954842 | − | 0.297113i | \(-0.903976\pi\) | ||
0.954842 | − | 0.297113i | \(-0.0960237\pi\) | |||||||
\(108\) | 2.74973 | + | 4.40897i | 0.264593 | + | 0.424253i | ||||
\(109\) | −10.8967 | − | 6.29124i | −1.04372 | − | 0.602591i | −0.122834 | − | 0.992427i | \(-0.539198\pi\) |
−0.920884 | + | 0.389836i | \(0.872532\pi\) | |||||||
\(110\) | 8.27059 | + | 4.77503i | 0.788570 | + | 0.455281i | ||||
\(111\) | −7.19483 | − | 8.37950i | −0.682903 | − | 0.795347i | ||||
\(112\) | 2.04281 | − | 1.68135i | 0.193027 | − | 0.158872i | ||||
\(113\) | −1.92741 | + | 1.11279i | −0.181316 | + | 0.104683i | −0.587911 | − | 0.808926i | \(-0.700049\pi\) |
0.406595 | + | 0.913609i | \(0.366716\pi\) | |||||||
\(114\) | 0.832761 | + | 4.42838i | 0.0779953 | + | 0.414756i | ||||
\(115\) | −5.68289 | − | 9.84306i | −0.529933 | − | 0.917870i | ||||
\(116\) | −7.30144 | − | 4.21549i | −0.677921 | − | 0.391398i | ||||
\(117\) | 3.42954 | + | 10.2586i | 0.317061 | + | 0.948405i | ||||
\(118\) | 2.20283i | 0.202787i | ||||||||
\(119\) | −6.05106 | + | 4.98036i | −0.554700 | + | 0.456549i | ||||
\(120\) | 1.07467 | − | 3.06024i | 0.0981035 | − | 0.279360i | ||||
\(121\) | −7.50436 | + | 12.9979i | −0.682214 | + | 1.18163i | ||||
\(122\) | −5.11154 | − | 2.95115i | −0.462777 | − | 0.267185i | ||||
\(123\) | 9.54273 | − | 1.79452i | 0.860439 | − | 0.161806i | ||||
\(124\) | 4.09797 | − | 7.09789i | 0.368009 | − | 0.637410i | ||||
\(125\) | 12.1595i | 1.08758i | ||||||||
\(126\) | 4.05904 | + | 6.82086i | 0.361608 | + | 0.607651i | ||||
\(127\) | −3.67232 | + | 6.36064i | −0.325866 | + | 0.564416i | −0.981687 | − | 0.190500i | \(-0.938989\pi\) |
0.655822 | + | 0.754916i | \(0.272322\pi\) | |||||||
\(128\) | −1.00000 | −0.0883883 | ||||||||
\(129\) | 15.9412 | + | 5.59810i | 1.40354 | + | 0.492885i | ||||
\(130\) | 3.65898 | − | 5.67436i | 0.320914 | − | 0.497675i | ||||
\(131\) | 0.465541 | + | 0.806340i | 0.0406745 | + | 0.0704503i | 0.885646 | − | 0.464361i | \(-0.153716\pi\) |
−0.844971 | + | 0.534811i | \(0.820383\pi\) | |||||||
\(132\) | 8.33428 | + | 2.92677i | 0.725406 | + | 0.254742i | ||||
\(133\) | 1.13085 | + | 6.78950i | 0.0980569 | + | 0.588725i | ||||
\(134\) | −9.56582 | + | 5.52283i | −0.826361 | + | 0.477100i | ||||
\(135\) | 8.58743 | + | 4.57555i | 0.739089 | + | 0.393801i | ||||
\(136\) | 2.96212 | 0.254000 | ||||||||
\(137\) | −2.15714 | −0.184297 | −0.0921483 | − | 0.995745i | \(-0.529373\pi\) | ||||
−0.0921483 | + | 0.995745i | \(0.529373\pi\) | |||||||
\(138\) | −6.84837 | − | 7.97599i | −0.582972 | − | 0.678961i | ||||
\(139\) | 7.18997 | − | 4.15113i | 0.609845 | − | 0.352094i | −0.163060 | − | 0.986616i | \(-0.552136\pi\) |
0.772905 | + | 0.634522i | \(0.218803\pi\) | |||||||
\(140\) | 1.73863 | − | 4.63937i | 0.146941 | − | 0.392098i | ||||
\(141\) | −1.79390 | + | 5.10832i | −0.151074 | + | 0.430198i | ||||
\(142\) | −7.27923 | − | 12.6080i | −0.610860 | − | 1.05804i | ||||
\(143\) | 15.4536 | + | 9.96490i | 1.29230 | + | 0.833307i | ||||
\(144\) | 0.453768 | − | 2.96548i | 0.0378140 | − | 0.247124i | ||||
\(145\) | −15.7879 | −1.31111 | ||||||||
\(146\) | −1.99779 | + | 3.46027i | −0.165338 | + | 0.286374i | ||||
\(147\) | 5.98186 | + | 10.5460i | 0.493376 | + | 0.869816i | ||||
\(148\) | 6.37656i | 0.524150i | ||||||||
\(149\) | 1.97912 | − | 3.42793i | 0.162136 | − | 0.280827i | −0.773499 | − | 0.633798i | \(-0.781495\pi\) |
0.935634 | + | 0.352971i | \(0.114828\pi\) | |||||||
\(150\) | 0.478024 | + | 2.54199i | 0.0390305 | + | 0.207553i | ||||
\(151\) | 4.82241 | + | 2.78422i | 0.392442 | + | 0.226576i | 0.683218 | − | 0.730215i | \(-0.260580\pi\) |
−0.290776 | + | 0.956791i | \(0.593913\pi\) | |||||||
\(152\) | 1.30077 | − | 2.25300i | 0.105506 | − | 0.182743i | ||||
\(153\) | −1.34412 | + | 8.78413i | −0.108665 | + | 0.710155i | ||||
\(154\) | 12.6349 | + | 4.73499i | 1.01815 | + | 0.381556i | ||||
\(155\) | − | 15.3478i | − | 1.23276i | ||||||
\(156\) | 2.35607 | − | 5.78351i | 0.188636 | − | 0.463051i | ||||
\(157\) | 6.31098 | + | 3.64365i | 0.503671 | + | 0.290795i | 0.730228 | − | 0.683203i | \(-0.239414\pi\) |
−0.226557 | + | 0.973998i | \(0.572747\pi\) | |||||||
\(158\) | 5.14630 | + | 8.91365i | 0.409418 | + | 0.709132i | ||||
\(159\) | −16.1528 | + | 3.03755i | −1.28100 | + | 0.240894i | ||||
\(160\) | −1.62172 | + | 0.936303i | −0.128209 | + | 0.0740213i | ||||
\(161\) | −10.2049 | − | 12.3988i | −0.804262 | − | 0.977166i | ||||
\(162\) | 8.58819 | + | 2.69128i | 0.674752 | + | 0.211447i | ||||
\(163\) | −17.1552 | − | 9.90456i | −1.34370 | − | 0.775785i | −0.356351 | − | 0.934352i | \(-0.615979\pi\) |
−0.987348 | + | 0.158567i | \(0.949313\pi\) | |||||||
\(164\) | −4.85500 | − | 2.80304i | −0.379112 | − | 0.218880i | ||||
\(165\) | 16.2562 | − | 3.05700i | 1.26555 | − | 0.237987i | ||||
\(166\) | − | 9.63409i | − | 0.747750i | ||||||
\(167\) | 13.0891 | + | 7.55698i | 1.01286 | + | 0.584777i | 0.912029 | − | 0.410126i | \(-0.134515\pi\) |
0.100834 | + | 0.994903i | \(0.467849\pi\) | |||||||
\(168\) | 0.787372 | − | 4.51443i | 0.0607471 | − | 0.348296i | ||||
\(169\) | 7.57313 | − | 10.5663i | 0.582548 | − | 0.812796i | ||||
\(170\) | 4.80375 | − | 2.77345i | 0.368431 | − | 0.212714i | ||||
\(171\) | 6.09099 | + | 4.87976i | 0.465790 | + | 0.373164i | ||||
\(172\) | −4.87733 | − | 8.44778i | −0.371893 | − | 0.644137i | ||||
\(173\) | 9.62713 | − | 16.6747i | 0.731937 | − | 1.26775i | −0.224117 | − | 0.974562i | \(-0.571950\pi\) |
0.956054 | − | 0.293190i | \(-0.0947169\pi\) | |||||||
\(174\) | −14.3513 | + | 2.69878i | −1.08797 | + | 0.204594i | ||||
\(175\) | 0.649132 | + | 3.89733i | 0.0490698 | + | 0.294610i | ||||
\(176\) | −2.54994 | − | 4.41662i | −0.192209 | − | 0.332915i | ||||
\(177\) | 2.48551 | + | 2.89476i | 0.186822 | + | 0.217583i | ||||
\(178\) | 14.7628i | 1.10652i | ||||||||
\(179\) | −4.65318 | + | 2.68651i | −0.347795 | + | 0.200800i | −0.663714 | − | 0.747987i | \(-0.731021\pi\) |
0.315919 | + | 0.948786i | \(0.397687\pi\) | |||||||
\(180\) | −2.04071 | − | 5.23406i | −0.152105 | − | 0.390124i | ||||
\(181\) | 11.3131i | 0.840893i | 0.907317 | + | 0.420446i | \(0.138126\pi\) | ||||
−0.907317 | + | 0.420446i | \(0.861874\pi\) | |||||||
\(182\) | 3.78224 | − | 8.75755i | 0.280358 | − | 0.649153i | ||||
\(183\) | −10.0470 | + | 1.88934i | −0.742694 | + | 0.139664i | ||||
\(184\) | 6.06950i | 0.447450i | ||||||||
\(185\) | 5.97039 | + | 10.3410i | 0.438952 | + | 0.760287i | ||||
\(186\) | −2.62354 | − | 13.9512i | −0.192368 | − | 1.02296i | ||||
\(187\) | 7.55323 | + | 13.0826i | 0.552347 | + | 0.956693i | ||||
\(188\) | 2.70708 | − | 1.56293i | 0.197434 | − | 0.113988i | ||||
\(189\) | 13.0302 | + | 4.38344i | 0.947806 | + | 0.318848i | ||||
\(190\) | − | 4.87167i | − | 0.353428i | ||||||
\(191\) | −2.74863 | − | 1.58692i | −0.198884 | − | 0.114826i | 0.397251 | − | 0.917710i | \(-0.369964\pi\) |
−0.596135 | + | 0.802884i | \(0.703298\pi\) | |||||||
\(192\) | −1.31411 | + | 1.12832i | −0.0948377 | + | 0.0814298i | ||||
\(193\) | 0.181273 | − | 0.104658i | 0.0130483 | − | 0.00753344i | −0.493462 | − | 0.869768i | \(-0.664269\pi\) |
0.506510 | + | 0.862234i | \(0.330935\pi\) | |||||||
\(194\) | −5.83860 | − | 10.1127i | −0.419187 | − | 0.726053i | ||||
\(195\) | −1.59422 | − | 11.5852i | −0.114165 | − | 0.829637i | ||||
\(196\) | 1.34615 | − | 6.86934i | 0.0961535 | − | 0.490667i | ||||
\(197\) | −9.71998 | + | 16.8355i | −0.692520 | + | 1.19948i | 0.278490 | + | 0.960439i | \(0.410166\pi\) |
−0.971010 | + | 0.239040i | \(0.923167\pi\) | |||||||
\(198\) | 14.2545 | − | 5.55768i | 1.01302 | − | 0.394967i | ||||
\(199\) | − | 14.4539i | − | 1.02461i | −0.858803 | − | 0.512306i | \(-0.828791\pi\) | ||
0.858803 | − | 0.512306i | \(-0.171209\pi\) | |||||||
\(200\) | 0.746672 | − | 1.29327i | 0.0527977 | − | 0.0914483i | ||||
\(201\) | −6.33899 | + | 18.0509i | −0.447118 | + | 1.27322i | ||||
\(202\) | −3.15026 | − | 5.45640i | −0.221651 | − | 0.383911i | ||||
\(203\) | −22.0031 | + | 3.66480i | −1.54432 | + | 0.257219i | ||||
\(204\) | 3.89256 | − | 3.34224i | 0.272533 | − | 0.234003i | ||||
\(205\) | −10.4980 | −0.733210 | ||||||||
\(206\) | −4.99182 | + | 2.88203i | −0.347797 | + | 0.200801i | ||||
\(207\) | −17.9990 | − | 2.75414i | −1.25102 | − | 0.191426i | ||||
\(208\) | −3.20727 | + | 1.64725i | −0.222384 | + | 0.114216i | ||||
\(209\) | 13.2675 | 0.917735 | ||||||||
\(210\) | −2.94997 | − | 8.05838i | −0.203567 | − | 0.556081i | ||||
\(211\) | 5.78954 | − | 10.0278i | 0.398568 | − | 0.690341i | −0.594981 | − | 0.803740i | \(-0.702840\pi\) |
0.993550 | + | 0.113399i | \(0.0361738\pi\) | |||||||
\(212\) | 8.21797 | + | 4.74465i | 0.564413 | + | 0.325864i | ||||
\(213\) | −23.7916 | − | 8.35496i | −1.63018 | − | 0.572472i | ||||
\(214\) | 6.14671i | 0.420181i | ||||||||
\(215\) | −15.8194 | − | 9.13332i | −1.07887 | − | 0.622887i | ||||
\(216\) | −2.74973 | − | 4.40897i | −0.187095 | − | 0.299992i | ||||
\(217\) | −3.56264 | − | 21.3898i | −0.241848 | − | 1.45203i | ||||
\(218\) | 10.8967 | + | 6.29124i | 0.738020 | + | 0.426096i | ||||
\(219\) | 1.27900 | + | 6.80132i | 0.0864265 | + | 0.459591i | ||||
\(220\) | −8.27059 | − | 4.77503i | −0.557603 | − | 0.321932i | ||||
\(221\) | 9.50032 | − | 4.87936i | 0.639061 | − | 0.328221i | ||||
\(222\) | 7.19483 | + | 8.37950i | 0.482885 | + | 0.562395i | ||||
\(223\) | −3.33759 | + | 5.78088i | −0.223502 | + | 0.387116i | −0.955869 | − | 0.293794i | \(-0.905082\pi\) |
0.732367 | + | 0.680910i | \(0.238416\pi\) | |||||||
\(224\) | −2.04281 | + | 1.68135i | −0.136491 | + | 0.112340i | ||||
\(225\) | 3.49637 | + | 2.80109i | 0.233091 | + | 0.186739i | ||||
\(226\) | 1.92741 | − | 1.11279i | 0.128210 | − | 0.0740219i | ||||
\(227\) | 18.4820i | 1.22669i | 0.789814 | + | 0.613346i | \(0.210177\pi\) | ||||
−0.789814 | + | 0.613346i | \(0.789823\pi\) | |||||||
\(228\) | −0.832761 | − | 4.42838i | −0.0551510 | − | 0.293277i | ||||
\(229\) | −0.100542 | − | 0.174145i | −0.00664403 | − | 0.0115078i | 0.862684 | − | 0.505743i | \(-0.168782\pi\) |
−0.869328 | + | 0.494235i | \(0.835448\pi\) | |||||||
\(230\) | 5.68289 | + | 9.84306i | 0.374719 | + | 0.649032i | ||||
\(231\) | 21.9463 | − | 8.03398i | 1.44396 | − | 0.528597i | ||||
\(232\) | 7.30144 | + | 4.21549i | 0.479363 | + | 0.276760i | ||||
\(233\) | 11.1073 | − | 6.41280i | 0.727663 | − | 0.420116i | −0.0899037 | − | 0.995950i | \(-0.528656\pi\) |
0.817567 | + | 0.575834i | \(0.195323\pi\) | |||||||
\(234\) | −3.42954 | − | 10.2586i | −0.224196 | − | 0.670624i | ||||
\(235\) | 2.92675 | − | 5.06929i | 0.190920 | − | 0.330684i | ||||
\(236\) | − | 2.20283i | − | 0.143392i | ||||||
\(237\) | 16.8203 | + | 5.90682i | 1.09260 | + | 0.383689i | ||||
\(238\) | 6.05106 | − | 4.98036i | 0.392232 | − | 0.322829i | ||||
\(239\) | −30.2795 | −1.95862 | −0.979311 | − | 0.202363i | \(-0.935138\pi\) | ||||
−0.979311 | + | 0.202363i | \(0.935138\pi\) | |||||||
\(240\) | −1.07467 | + | 3.06024i | −0.0693697 | + | 0.197537i | ||||
\(241\) | 8.34511 | 0.537556 | 0.268778 | − | 0.963202i | \(-0.413380\pi\) | ||||
0.268778 | + | 0.963202i | \(0.413380\pi\) | |||||||
\(242\) | 7.50436 | − | 12.9979i | 0.482398 | − | 0.835538i | ||||
\(243\) | 14.3225 | − | 6.15363i | 0.918786 | − | 0.394755i | ||||
\(244\) | 5.11154 | + | 2.95115i | 0.327233 | + | 0.188928i | ||||
\(245\) | −4.24871 | − | 12.4006i | −0.271440 | − | 0.792245i | ||||
\(246\) | −9.54273 | + | 1.79452i | −0.608422 | + | 0.114414i | ||||
\(247\) | 0.460662 | − | 9.36868i | 0.0293112 | − | 0.596115i | ||||
\(248\) | −4.09797 | + | 7.09789i | −0.260221 | + | 0.450717i | ||||
\(249\) | −10.8704 | − | 12.6602i | −0.688882 | − | 0.802311i | ||||
\(250\) | − | 12.1595i | − | 0.769033i | ||||||
\(251\) | −0.325183 | − | 0.563233i | −0.0205253 | − | 0.0355509i | 0.855580 | − | 0.517670i | \(-0.173201\pi\) |
−0.876106 | + | 0.482119i | \(0.839867\pi\) | |||||||
\(252\) | −4.05904 | − | 6.82086i | −0.255696 | − | 0.429674i | ||||
\(253\) | −26.8067 | + | 15.4768i | −1.68532 | + | 0.973021i | ||||
\(254\) | 3.67232 | − | 6.36064i | 0.230422 | − | 0.399102i | ||||
\(255\) | 3.18331 | − | 9.06480i | 0.199346 | − | 0.567660i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | 7.41850 | 0.462753 | 0.231377 | − | 0.972864i | \(-0.425677\pi\) | ||||
0.231377 | + | 0.972864i | \(0.425677\pi\) | |||||||
\(258\) | −15.9412 | − | 5.59810i | −0.992455 | − | 0.348522i | ||||
\(259\) | 10.7212 | + | 13.0261i | 0.666183 | + | 0.809403i | ||||
\(260\) | −3.65898 | + | 5.67436i | −0.226920 | + | 0.351909i | ||||
\(261\) | −15.8141 | + | 19.7394i | −0.978869 | + | 1.22184i | ||||
\(262\) | −0.465541 | − | 0.806340i | −0.0287612 | − | 0.0498159i | ||||
\(263\) | 17.3650 | − | 10.0257i | 1.07077 | − | 0.618209i | 0.142378 | − | 0.989812i | \(-0.454525\pi\) |
0.928392 | + | 0.371603i | \(0.121192\pi\) | |||||||
\(264\) | −8.33428 | − | 2.92677i | −0.512939 | − | 0.180130i | ||||
\(265\) | 17.7697 | 1.09159 | ||||||||
\(266\) | −1.13085 | − | 6.78950i | −0.0693367 | − | 0.416291i | ||||
\(267\) | 16.6573 | + | 19.4000i | 1.01941 | + | 1.18726i | ||||
\(268\) | 9.56582 | − | 5.52283i | 0.584325 | − | 0.337360i | ||||
\(269\) | −12.4850 | −0.761225 | −0.380612 | − | 0.924735i | \(-0.624287\pi\) | ||||
−0.380612 | + | 0.924735i | \(0.624287\pi\) | |||||||
\(270\) | −8.58743 | − | 4.57555i | −0.522615 | − | 0.278459i | ||||
\(271\) | −2.87931 | −0.174906 | −0.0874530 | − | 0.996169i | \(-0.527873\pi\) | ||||
−0.0874530 | + | 0.996169i | \(0.527873\pi\) | |||||||
\(272\) | −2.96212 | −0.179605 | ||||||||
\(273\) | −4.91108 | − | 15.7760i | −0.297232 | − | 0.954805i | ||||
\(274\) | 2.15714 | 0.130317 | ||||||||
\(275\) | 7.61587 | 0.459254 | ||||||||
\(276\) | 6.84837 | + | 7.97599i | 0.412223 | + | 0.480098i | ||||
\(277\) | 8.00292 | 0.480849 | 0.240424 | − | 0.970668i | \(-0.422713\pi\) | ||||
0.240424 | + | 0.970668i | \(0.422713\pi\) | |||||||
\(278\) | −7.18997 | + | 4.15113i | −0.431226 | + | 0.248968i | ||||
\(279\) | −19.1892 | − | 15.3733i | −1.14883 | − | 0.920373i | ||||
\(280\) | −1.73863 | + | 4.63937i | −0.103903 | + | 0.277255i | ||||
\(281\) | 6.16209 | 0.367599 | 0.183800 | − | 0.982964i | \(-0.441160\pi\) | ||||
0.183800 | + | 0.982964i | \(0.441160\pi\) | |||||||
\(282\) | 1.79390 | − | 5.10832i | 0.106825 | − | 0.304196i | ||||
\(283\) | −11.9016 | + | 6.87141i | −0.707478 | + | 0.408463i | −0.810127 | − | 0.586255i | \(-0.800602\pi\) |
0.102648 | + | 0.994718i | \(0.467268\pi\) | |||||||
\(284\) | 7.27923 | + | 12.6080i | 0.431943 | + | 0.748147i | ||||
\(285\) | −5.49682 | − | 6.40190i | −0.325604 | − | 0.379216i | ||||
\(286\) | −15.4536 | − | 9.96490i | −0.913791 | − | 0.589237i | ||||
\(287\) | −14.6307 | + | 2.43687i | −0.863624 | + | 0.143844i | ||||
\(288\) | −0.453768 | + | 2.96548i | −0.0267385 | + | 0.174743i | ||||
\(289\) | −8.22582 | −0.483872 | ||||||||
\(290\) | 15.7879 | 0.927097 | ||||||||
\(291\) | −19.0830 | − | 6.70142i | −1.11867 | − | 0.392844i | ||||
\(292\) | 1.99779 | − | 3.46027i | 0.116912 | − | 0.202497i | ||||
\(293\) | 4.43117 | − | 2.55834i | 0.258872 | − | 0.149460i | −0.364948 | − | 0.931028i | \(-0.618913\pi\) |
0.623820 | + | 0.781568i | \(0.285580\pi\) | |||||||
\(294\) | −5.98186 | − | 10.5460i | −0.348869 | − | 0.615053i | ||||
\(295\) | −2.06252 | − | 3.57238i | −0.120084 | − | 0.207992i | ||||
\(296\) | − | 6.37656i | − | 0.370630i | ||||||
\(297\) | 12.4611 | − | 23.3871i | 0.723067 | − | 1.35706i | ||||
\(298\) | −1.97912 | + | 3.42793i | −0.114647 | + | 0.198575i | ||||
\(299\) | 9.99799 | + | 19.4665i | 0.578199 | + | 1.12578i | ||||
\(300\) | −0.478024 | − | 2.54199i | −0.0275987 | − | 0.146762i | ||||
\(301\) | −24.1671 | − | 9.05674i | −1.39297 | − | 0.522022i | ||||
\(302\) | −4.82241 | − | 2.78422i | −0.277498 | − | 0.160214i | ||||
\(303\) | −10.2964 | − | 3.61580i | −0.591511 | − | 0.207722i | ||||
\(304\) | −1.30077 | + | 2.25300i | −0.0746044 | + | 0.129219i | ||||
\(305\) | 11.0527 | 0.632875 | ||||||||
\(306\) | 1.34412 | − | 8.78413i | 0.0768380 | − | 0.502155i | ||||
\(307\) | 1.12751 | 0.0643502 | 0.0321751 | − | 0.999482i | \(-0.489757\pi\) | ||||
0.0321751 | + | 0.999482i | \(0.489757\pi\) | |||||||
\(308\) | −12.6349 | − | 4.73499i | −0.719941 | − | 0.269801i | ||||
\(309\) | −3.30794 | + | 9.41970i | −0.188182 | + | 0.535868i | ||||
\(310\) | 15.3478i | 0.871695i | ||||||||
\(311\) | 5.59744 | − | 9.69505i | 0.317402 | − | 0.549756i | −0.662543 | − | 0.749023i | \(-0.730523\pi\) |
0.979945 | + | 0.199268i | \(0.0638563\pi\) | |||||||
\(312\) | −2.35607 | + | 5.78351i | −0.133386 | + | 0.327427i | ||||
\(313\) | 28.1564 | − | 16.2561i | 1.59150 | − | 0.918850i | 0.598444 | − | 0.801165i | \(-0.295786\pi\) |
0.993051 | − | 0.117686i | \(-0.0375475\pi\) | |||||||
\(314\) | −6.31098 | − | 3.64365i | −0.356149 | − | 0.205623i | ||||
\(315\) | −12.9690 | − | 7.26106i | −0.730723 | − | 0.409115i | ||||
\(316\) | −5.14630 | − | 8.91365i | −0.289502 | − | 0.501432i | ||||
\(317\) | 12.7161 | + | 22.0249i | 0.714206 | + | 1.23704i | 0.963265 | + | 0.268553i | \(0.0865456\pi\) |
−0.249058 | + | 0.968488i | \(0.580121\pi\) | |||||||
\(318\) | 16.1528 | − | 3.03755i | 0.905805 | − | 0.170337i | ||||
\(319\) | 42.9969i | 2.40736i | ||||||||
\(320\) | 1.62172 | − | 0.936303i | 0.0906572 | − | 0.0523409i | ||||
\(321\) | 6.93549 | + | 8.07745i | 0.387101 | + | 0.450840i | ||||
\(322\) | 10.2049 | + | 12.3988i | 0.568699 | + | 0.690960i | ||||
\(323\) | 3.85305 | − | 6.67367i | 0.214389 | − | 0.371333i | ||||
\(324\) | −8.58819 | − | 2.69128i | −0.477122 | − | 0.149516i | ||||
\(325\) | 0.264430 | − | 5.37783i | 0.0146680 | − | 0.298309i | ||||
\(326\) | 17.1552 | + | 9.90456i | 0.950139 | + | 0.548563i | ||||
\(327\) | 21.4181 | − | 4.02769i | 1.18442 | − | 0.222732i | ||||
\(328\) | 4.85500 | + | 2.80304i | 0.268072 | + | 0.154772i | ||||
\(329\) | 2.90221 | − | 7.74430i | 0.160004 | − | 0.426957i | ||||
\(330\) | −16.2562 | + | 3.05700i | −0.894877 | + | 0.168282i | ||||
\(331\) | −6.22337 | − | 3.59306i | −0.342067 | − | 0.197493i | 0.319119 | − | 0.947715i | \(-0.396613\pi\) |
−0.661186 | + | 0.750222i | \(0.729947\pi\) | |||||||
\(332\) | 9.63409i | 0.528739i | ||||||||
\(333\) | 18.9096 | + | 2.89348i | 1.03624 | + | 0.158561i | ||||
\(334\) | −13.0891 | − | 7.55698i | −0.716202 | − | 0.413500i | ||||
\(335\) | 10.3421 | − | 17.9130i | 0.565048 | − | 0.978692i | ||||
\(336\) | −0.787372 | + | 4.51443i | −0.0429547 | + | 0.246282i | ||||
\(337\) | 19.2711 | 1.04976 | 0.524882 | − | 0.851175i | \(-0.324109\pi\) | ||||
0.524882 | + | 0.851175i | \(0.324109\pi\) | |||||||
\(338\) | −7.57313 | + | 10.5663i | −0.411924 | + | 0.574734i | ||||
\(339\) | 1.27724 | − | 3.63708i | 0.0693703 | − | 0.197539i | ||||
\(340\) | −4.80375 | + | 2.77345i | −0.260520 | + | 0.150411i | ||||
\(341\) | −41.7983 | −2.26350 | ||||||||
\(342\) | −6.09099 | − | 4.87976i | −0.329363 | − | 0.263867i | ||||
\(343\) | −8.79982 | − | 16.2961i | −0.475146 | − | 0.879907i | ||||
\(344\) | 4.87733 | + | 8.44778i | 0.262968 | + | 0.455474i | ||||
\(345\) | 18.5741 | + | 6.52271i | 0.999997 | + | 0.351171i | ||||
\(346\) | −9.62713 | + | 16.6747i | −0.517558 | + | 0.896436i | ||||
\(347\) | − | 7.79589i | − | 0.418505i | −0.977862 | − | 0.209253i | \(-0.932897\pi\) | ||
0.977862 | − | 0.209253i | \(-0.0671031\pi\) | |||||||
\(348\) | 14.3513 | − | 2.69878i | 0.769312 | − | 0.144670i | ||||
\(349\) | 7.17103 | − | 12.4206i | 0.383857 | − | 0.664859i | −0.607753 | − | 0.794126i | \(-0.707929\pi\) |
0.991610 | + | 0.129267i | \(0.0412623\pi\) | |||||||
\(350\) | −0.649132 | − | 3.89733i | −0.0346976 | − | 0.208321i | ||||
\(351\) | −16.0818 | − | 9.61125i | −0.858382 | − | 0.513010i | ||||
\(352\) | 2.54994 | + | 4.41662i | 0.135912 | + | 0.235407i | ||||
\(353\) | −22.0306 | + | 12.7194i | −1.17257 | + | 0.676985i | −0.954285 | − | 0.298900i | \(-0.903380\pi\) |
−0.218288 | + | 0.975884i | \(0.570047\pi\) | |||||||
\(354\) | −2.48551 | − | 2.89476i | −0.132103 | − | 0.153855i | ||||
\(355\) | 23.6098 | + | 13.6311i | 1.25308 | + | 0.723466i | ||||
\(356\) | − | 14.7628i | − | 0.782428i | ||||||
\(357\) | 2.33229 | − | 13.3723i | 0.123438 | − | 0.707737i | ||||
\(358\) | 4.65318 | − | 2.68651i | 0.245928 | − | 0.141987i | ||||
\(359\) | −4.87490 | − | 8.44358i | −0.257288 | − | 0.445635i | 0.708227 | − | 0.705985i | \(-0.249495\pi\) |
−0.965514 | + | 0.260350i | \(0.916162\pi\) | |||||||
\(360\) | 2.04071 | + | 5.23406i | 0.107555 | + | 0.275859i | ||||
\(361\) | 6.11599 | + | 10.5932i | 0.321894 | + | 0.557537i | ||||
\(362\) | − | 11.3131i | − | 0.594601i | ||||||
\(363\) | −4.80433 | − | 25.5481i | −0.252162 | − | 1.34092i | ||||
\(364\) | −3.78224 | + | 8.75755i | −0.198243 | + | 0.459020i | ||||
\(365\) | − | 7.48214i | − | 0.391633i | ||||||
\(366\) | 10.0470 | − | 1.88934i | 0.525164 | − | 0.0987576i | ||||
\(367\) | −12.5943 | + | 7.27133i | −0.657418 | + | 0.379560i | −0.791292 | − | 0.611438i | \(-0.790591\pi\) |
0.133875 | + | 0.990998i | \(0.457258\pi\) | |||||||
\(368\) | − | 6.06950i | − | 0.316395i | ||||||
\(369\) | −10.5154 | + | 13.1255i | −0.547410 | + | 0.683286i | ||||
\(370\) | −5.97039 | − | 10.3410i | −0.310386 | − | 0.537604i | ||||
\(371\) | 24.7652 | − | 4.12484i | 1.28574 | − | 0.214151i | ||||
\(372\) | 2.62354 | + | 13.9512i | 0.136024 | + | 0.723339i | ||||
\(373\) | 6.87679 | − | 11.9109i | 0.356067 | − | 0.616725i | −0.631233 | − | 0.775593i | \(-0.717451\pi\) |
0.987300 | + | 0.158868i | \(0.0507843\pi\) | |||||||
\(374\) | −7.55323 | − | 13.0826i | −0.390568 | − | 0.676484i | ||||
\(375\) | −13.7198 | − | 15.9789i | −0.708489 | − | 0.825146i | ||||
\(376\) | −2.70708 | + | 1.56293i | −0.139607 | + | 0.0806020i | ||||
\(377\) | 30.3616 | + | 1.49289i | 1.56370 | + | 0.0768879i | ||||
\(378\) | −13.0302 | − | 4.38344i | −0.670200 | − | 0.225460i | ||||
\(379\) | 25.1138 | + | 14.4995i | 1.29001 | + | 0.744788i | 0.978656 | − | 0.205505i | \(-0.0658838\pi\) |
0.311355 | + | 0.950294i | \(0.399217\pi\) | |||||||
\(380\) | 4.87167i | 0.249911i | ||||||||
\(381\) | −2.35104 | − | 12.5022i | −0.120447 | − | 0.640505i | ||||
\(382\) | 2.74863 | + | 1.58692i | 0.140632 | + | 0.0811939i | ||||
\(383\) | 4.84882 | + | 2.79947i | 0.247763 | + | 0.143046i | 0.618740 | − | 0.785596i | \(-0.287644\pi\) |
−0.370977 | + | 0.928642i | \(0.620977\pi\) | |||||||
\(384\) | 1.31411 | − | 1.12832i | 0.0670604 | − | 0.0575796i | ||||
\(385\) | −24.9237 | + | 4.15125i | −1.27023 | + | 0.211567i | ||||
\(386\) | −0.181273 | + | 0.104658i | −0.00922654 | + | 0.00532695i | ||||
\(387\) | −27.2649 | + | 10.6303i | −1.38595 | + | 0.540369i | ||||
\(388\) | 5.83860 | + | 10.1127i | 0.296410 | + | 0.513397i | ||||
\(389\) | 4.31018 | + | 2.48848i | 0.218535 | + | 0.126171i | 0.605272 | − | 0.796019i | \(-0.293065\pi\) |
−0.386737 | + | 0.922190i | \(0.626398\pi\) | |||||||
\(390\) | 1.59422 | + | 11.5852i | 0.0807267 | + | 0.586642i | ||||
\(391\) | 17.9786i | 0.909218i | ||||||||
\(392\) | −1.34615 | + | 6.86934i | −0.0679908 | + | 0.346954i | ||||
\(393\) | −1.52158 | − | 0.534338i | −0.0767538 | − | 0.0269538i | ||||
\(394\) | 9.71998 | − | 16.8355i | 0.489685 | − | 0.848160i | ||||
\(395\) | −16.6918 | − | 9.63699i | −0.839854 | − | 0.484890i | ||||
\(396\) | −14.2545 | + | 5.55768i | −0.716315 | + | 0.279284i | ||||
\(397\) | 8.11912 | − | 14.0627i | 0.407487 | − | 0.705788i | −0.587120 | − | 0.809500i | \(-0.699738\pi\) |
0.994607 | + | 0.103711i | \(0.0330718\pi\) | |||||||
\(398\) | 14.4539i | 0.724510i | ||||||||
\(399\) | −9.14682 | − | 7.64619i | −0.457914 | − | 0.382788i | ||||
\(400\) | −0.746672 | + | 1.29327i | −0.0373336 | + | 0.0646637i | ||||
\(401\) | 6.92045 | 0.345591 | 0.172795 | − | 0.984958i | \(-0.444720\pi\) | ||||
0.172795 | + | 0.984958i | \(0.444720\pi\) | |||||||
\(402\) | 6.33899 | − | 18.0509i | 0.316160 | − | 0.900299i | ||||
\(403\) | −1.45128 | + | 29.5152i | −0.0722932 | + | 1.47026i | ||||
\(404\) | 3.15026 | + | 5.45640i | 0.156731 | + | 0.271466i | ||||
\(405\) | −16.4475 | + | 3.67663i | −0.817285 | + | 0.182693i | ||||
\(406\) | 22.0031 | − | 3.66480i | 1.09200 | − | 0.181881i | ||||
\(407\) | 28.1628 | − | 16.2598i | 1.39598 | − | 0.805970i | ||||
\(408\) | −3.89256 | + | 3.34224i | −0.192710 | + | 0.165465i | ||||
\(409\) | 11.3829 | 0.562849 | 0.281425 | − | 0.959583i | \(-0.409193\pi\) | ||||
0.281425 | + | 0.959583i | \(0.409193\pi\) | |||||||
\(410\) | 10.4980 | 0.518457 | ||||||||
\(411\) | 2.83471 | − | 2.43395i | 0.139826 | − | 0.120058i | ||||
\(412\) | 4.99182 | − | 2.88203i | 0.245930 | − | 0.141987i | ||||
\(413\) | −3.70372 | − | 4.49996i | −0.182248 | − | 0.221429i | ||||
\(414\) | 17.9990 | + | 2.75414i | 0.884603 | + | 0.135359i | ||||
\(415\) | 9.02043 | + | 15.6238i | 0.442795 | + | 0.766944i | ||||
\(416\) | 3.20727 | − | 1.64725i | 0.157249 | − | 0.0807631i | ||||
\(417\) | −4.76458 | + | 13.5677i | −0.233323 | + | 0.664411i | ||||
\(418\) | −13.2675 | −0.648937 | ||||||||
\(419\) | −4.51941 | + | 7.82784i | −0.220788 | + | 0.382415i | −0.955047 | − | 0.296453i | \(-0.904196\pi\) |
0.734260 | + | 0.678869i | \(0.237529\pi\) | |||||||
\(420\) | 2.94997 | + | 8.05838i | 0.143944 | + | 0.393209i | ||||
\(421\) | 3.07453i | 0.149844i | 0.997189 | + | 0.0749218i | \(0.0238707\pi\) | ||||
−0.997189 | + | 0.0749218i | \(0.976129\pi\) | |||||||
\(422\) | −5.78954 | + | 10.0278i | −0.281830 | + | 0.488145i | ||||
\(423\) | −3.40646 | − | 8.73700i | −0.165628 | − | 0.424807i | ||||
\(424\) | −8.21797 | − | 4.74465i | −0.399100 | − | 0.230421i | ||||
\(425\) | 2.21174 | − | 3.83084i | 0.107285 | − | 0.185823i | ||||
\(426\) | 23.7916 | + | 8.35496i | 1.15271 | + | 0.404799i | ||||
\(427\) | 15.4038 | − | 2.56563i | 0.745443 | − | 0.124160i | ||||
\(428\) | − | 6.14671i | − | 0.297113i | ||||||
\(429\) | −31.5514 | + | 4.34172i | −1.52331 | + | 0.209620i | ||||
\(430\) | 15.8194 | + | 9.13332i | 0.762878 | + | 0.440448i | ||||
\(431\) | 11.6404 | + | 20.1618i | 0.560700 | + | 0.971160i | 0.997436 | + | 0.0715705i | \(0.0228011\pi\) |
−0.436736 | + | 0.899590i | \(0.643866\pi\) | |||||||
\(432\) | 2.74973 | + | 4.40897i | 0.132296 | + | 0.212127i | ||||
\(433\) | −23.9459 | + | 13.8252i | −1.15077 | + | 0.664396i | −0.949074 | − | 0.315053i | \(-0.897978\pi\) |
−0.201693 | + | 0.979449i | \(0.564644\pi\) | |||||||
\(434\) | 3.56264 | + | 21.3898i | 0.171012 | + | 1.02674i | ||||
\(435\) | 20.7470 | − | 17.8139i | 0.994744 | − | 0.854110i | ||||
\(436\) | −10.8967 | − | 6.29124i | −0.521859 | − | 0.301296i | ||||
\(437\) | 13.6746 | + | 7.89503i | 0.654145 | + | 0.377671i | ||||
\(438\) | −1.27900 | − | 6.80132i | −0.0611128 | − | 0.324980i | ||||
\(439\) | 4.37253i | 0.208690i | 0.994541 | + | 0.104345i | \(0.0332746\pi\) | ||||
−0.994541 | + | 0.104345i | \(0.966725\pi\) | |||||||
\(440\) | 8.27059 | + | 4.77503i | 0.394285 | + | 0.227641i | ||||
\(441\) | −19.7601 | − | 7.10907i | −0.940957 | − | 0.338527i | ||||
\(442\) | −9.50032 | + | 4.87936i | −0.451884 | + | 0.232088i | ||||
\(443\) | −2.31071 | + | 1.33409i | −0.109785 | + | 0.0633846i | −0.553887 | − | 0.832592i | \(-0.686856\pi\) |
0.444102 | + | 0.895976i | \(0.353523\pi\) | |||||||
\(444\) | −7.19483 | − | 8.37950i | −0.341451 | − | 0.397673i | ||||
\(445\) | −13.8225 | − | 23.9412i | −0.655248 | − | 1.13492i | ||||
\(446\) | 3.33759 | − | 5.78088i | 0.158040 | − | 0.273733i | ||||
\(447\) | 1.26704 | + | 6.73777i | 0.0599291 | + | 0.318685i | ||||
\(448\) | 2.04281 | − | 1.68135i | 0.0965137 | − | 0.0794361i | ||||
\(449\) | −7.64162 | − | 13.2357i | −0.360630 | − | 0.624630i | 0.627434 | − | 0.778670i | \(-0.284105\pi\) |
−0.988065 | + | 0.154039i | \(0.950772\pi\) | |||||||
\(450\) | −3.49637 | − | 2.80109i | −0.164820 | − | 0.132045i | ||||
\(451\) | 28.5903i | 1.34626i | ||||||||
\(452\) | −1.92741 | + | 1.11279i | −0.0906580 | + | 0.0523414i | ||||
\(453\) | −9.47867 | + | 1.78247i | −0.445347 | + | 0.0837478i | ||||
\(454\) | − | 18.4820i | − | 0.867402i | ||||||
\(455\) | 2.06597 | + | 17.7437i | 0.0968541 | + | 0.831835i | ||||
\(456\) | 0.832761 | + | 4.42838i | 0.0389976 | + | 0.207378i | ||||
\(457\) | 6.93705i | 0.324502i | 0.986750 | + | 0.162251i | \(0.0518754\pi\) | ||||
−0.986750 | + | 0.162251i | \(0.948125\pi\) | |||||||
\(458\) | 0.100542 | + | 0.174145i | 0.00469804 | + | 0.00813724i | ||||
\(459\) | −8.14504 | − | 13.0599i | −0.380178 | − | 0.609584i | ||||
\(460\) | −5.68289 | − | 9.84306i | −0.264966 | − | 0.458935i | ||||
\(461\) | −17.6491 | + | 10.1897i | −0.822001 | + | 0.474582i | −0.851106 | − | 0.524994i | \(-0.824068\pi\) |
0.0291053 | + | 0.999576i | \(0.490734\pi\) | |||||||
\(462\) | −21.9463 | + | 8.03398i | −1.02103 | + | 0.373774i | ||||
\(463\) | − | 22.4244i | − | 1.04215i | −0.853511 | − | 0.521075i | \(-0.825531\pi\) | ||
0.853511 | − | 0.521075i | \(-0.174469\pi\) | |||||||
\(464\) | −7.30144 | − | 4.21549i | −0.338961 | − | 0.195699i | ||||
\(465\) | 17.3173 | + | 20.1687i | 0.803069 | + | 0.935299i | ||||
\(466\) | −11.1073 | + | 6.41280i | −0.514535 | + | 0.297067i | ||||
\(467\) | 9.83436 | + | 17.0336i | 0.455080 | + | 0.788221i | 0.998693 | − | 0.0511146i | \(-0.0162774\pi\) |
−0.543613 | + | 0.839336i | \(0.682944\pi\) | |||||||
\(468\) | 3.42954 | + | 10.2586i | 0.158531 | + | 0.474203i | ||||
\(469\) | 10.2554 | − | 27.3655i | 0.473549 | − | 1.26362i | ||||
\(470\) | −2.92675 | + | 5.06929i | −0.135001 | + | 0.233829i | ||||
\(471\) | −12.4045 | + | 2.33268i | −0.571571 | + | 0.107484i | ||||
\(472\) | 2.20283i | 0.101393i | ||||||||
\(473\) | −24.8738 | + | 43.0826i | −1.14370 | + | 1.98094i | ||||
\(474\) | −16.8203 | − | 5.90682i | −0.772582 | − | 0.271309i | ||||
\(475\) | −1.94250 | − | 3.36451i | −0.0891280 | − | 0.154374i | ||||
\(476\) | −6.05106 | + | 4.98036i | −0.277350 | + | 0.228274i | ||||
\(477\) | 17.7992 | − | 22.2173i | 0.814971 | − | 1.01726i | ||||
\(478\) | 30.2795 | 1.38495 | ||||||||
\(479\) | 16.4723 | − | 9.51026i | 0.752637 | − | 0.434535i | −0.0740090 | − | 0.997258i | \(-0.523579\pi\) |
0.826646 | + | 0.562722i | \(0.190246\pi\) | |||||||
\(480\) | 1.07467 | − | 3.06024i | 0.0490518 | − | 0.139680i | ||||
\(481\) | −10.5038 | − | 20.4513i | −0.478932 | − | 0.932500i | ||||
\(482\) | −8.34511 | −0.380109 | ||||||||
\(483\) | 27.4003 | + | 4.77896i | 1.24676 | + | 0.217450i | ||||
\(484\) | −7.50436 | + | 12.9979i | −0.341107 | + | 0.590815i | ||||
\(485\) | 18.9372 | + | 10.9334i | 0.859894 | + | 0.496460i | ||||
\(486\) | −14.3225 | + | 6.15363i | −0.649680 | + | 0.279134i | ||||
\(487\) | − | 22.4738i | − | 1.01838i | −0.860653 | − | 0.509192i | \(-0.829944\pi\) | ||
0.860653 | − | 0.509192i | \(-0.170056\pi\) | |||||||
\(488\) | −5.11154 | − | 2.95115i | −0.231389 | − | 0.133592i | ||||
\(489\) | 33.7194 | − | 6.34096i | 1.52484 | − | 0.286748i | ||||
\(490\) | 4.24871 | + | 12.4006i | 0.191937 | + | 0.560201i | ||||
\(491\) | −25.7148 | − | 14.8464i | −1.16049 | − | 0.670010i | −0.209069 | − | 0.977901i | \(-0.567043\pi\) |
−0.951422 | + | 0.307891i | \(0.900377\pi\) | |||||||
\(492\) | 9.54273 | − | 1.79452i | 0.430220 | − | 0.0809032i | ||||
\(493\) | 21.6278 | + | 12.4868i | 0.974065 | + | 0.562377i | ||||
\(494\) | −0.460662 | + | 9.36868i | −0.0207261 | + | 0.421517i | ||||
\(495\) | −17.9132 | + | 22.3596i | −0.805138 | + | 1.00499i | ||||
\(496\) | 4.09797 | − | 7.09789i | 0.184004 | − | 0.318705i | ||||
\(497\) | 36.0685 | + | 13.5168i | 1.61789 | + | 0.606313i | ||||
\(498\) | 10.8704 | + | 12.6602i | 0.487113 | + | 0.567319i | ||||
\(499\) | 6.50477 | − | 3.75553i | 0.291193 | − | 0.168121i | −0.347287 | − | 0.937759i | \(-0.612897\pi\) |
0.638480 | + | 0.769638i | \(0.279564\pi\) | |||||||
\(500\) | 12.1595i | 0.543788i | ||||||||
\(501\) | −25.7272 | + | 4.83802i | −1.14941 | + | 0.216147i | ||||
\(502\) | 0.325183 | + | 0.563233i | 0.0145136 | + | 0.0251383i | ||||
\(503\) | 14.6024 | + | 25.2921i | 0.651089 | + | 1.12772i | 0.982859 | + | 0.184358i | \(0.0590207\pi\) |
−0.331770 | + | 0.943360i | \(0.607646\pi\) | |||||||
\(504\) | 4.05904 | + | 6.82086i | 0.180804 | + | 0.303825i | ||||
\(505\) | 10.2177 | + | 5.89919i | 0.454682 | + | 0.262511i | ||||
\(506\) | 26.8067 | − | 15.4768i | 1.19170 | − | 0.688030i | ||||
\(507\) | 1.97035 | + | 22.4303i | 0.0875063 | + | 0.996164i | ||||
\(508\) | −3.67232 | + | 6.36064i | −0.162933 | + | 0.282208i | ||||
\(509\) | 38.2320i | 1.69460i | 0.531113 | + | 0.847301i | \(0.321774\pi\) | ||||
−0.531113 | + | 0.847301i | \(0.678226\pi\) | |||||||
\(510\) | −3.18331 | + | 9.06480i | −0.140959 | + | 0.401396i | ||||
\(511\) | −1.73681 | − | 10.4276i | −0.0768320 | − | 0.461292i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | −13.5102 | + | 0.460084i | −0.596489 | + | 0.0203132i | ||||
\(514\) | −7.41850 | −0.327216 | ||||||||
\(515\) | 5.39691 | − | 9.34772i | 0.237816 | − | 0.411910i | ||||
\(516\) | 15.9412 | + | 5.59810i | 0.701771 | + | 0.246443i | ||||
\(517\) | −13.8057 | − | 7.97075i | −0.607176 | − | 0.350553i | ||||
\(518\) | −10.7212 | − | 13.0261i | −0.471063 | − | 0.572334i | ||||
\(519\) | 6.16335 | + | 32.7749i | 0.270541 | + | 1.43866i | ||||
\(520\) | 3.65898 | − | 5.67436i | 0.160457 | − | 0.248837i | ||||
\(521\) | −1.01347 | + | 1.75537i | −0.0444008 | + | 0.0769044i | −0.887372 | − | 0.461055i | \(-0.847471\pi\) |
0.842971 | + | 0.537959i | \(0.180805\pi\) | |||||||
\(522\) | 15.8141 | − | 19.7394i | 0.692165 | − | 0.863972i | ||||
\(523\) | 14.9844i | 0.655221i | 0.944813 | + | 0.327610i | \(0.106243\pi\) | ||||
−0.944813 | + | 0.327610i | \(0.893757\pi\) | |||||||
\(524\) | 0.465541 | + | 0.806340i | 0.0203372 | + | 0.0352251i | ||||
\(525\) | −5.25048 | − | 4.38909i | −0.229150 | − | 0.191555i | ||||
\(526\) | −17.3650 | + | 10.0257i | −0.757149 | + | 0.437140i | ||||
\(527\) | −12.1387 | + | 21.0248i | −0.528770 | + | 0.915856i | ||||
\(528\) | 8.33428 | + | 2.92677i | 0.362703 | + | 0.127371i | ||||
\(529\) | −13.8389 | −0.601690 | ||||||||
\(530\) | −17.7697 | −0.771867 | ||||||||
\(531\) | −6.53245 | − | 0.999572i | −0.283484 | − | 0.0433777i | ||||
\(532\) | 1.13085 | + | 6.78950i | 0.0490285 | + | 0.294362i | ||||
\(533\) | 20.1886 | + | 0.992681i | 0.874465 | + | 0.0429978i | ||||
\(534\) | −16.6573 | − | 19.4000i | −0.720830 | − | 0.839518i | ||||
\(535\) | −5.75519 | − | 9.96828i | −0.248818 | − | 0.430966i | ||||
\(536\) | −9.56582 | + | 5.52283i | −0.413180 | + | 0.238550i | ||||
\(537\) | 3.08353 | − | 8.78067i | 0.133064 | − | 0.378914i | ||||
\(538\) | 12.4850 | 0.538267 | ||||||||
\(539\) | −33.7719 | + | 11.5710i | −1.45466 | + | 0.498397i | ||||
\(540\) | 8.58743 | + | 4.57555i | 0.369544 | + | 0.196900i | ||||
\(541\) | −0.930484 | + | 0.537215i | −0.0400046 | + | 0.0230967i | −0.519869 | − | 0.854246i | \(-0.674019\pi\) |
0.479864 | + | 0.877343i | \(0.340686\pi\) | |||||||
\(542\) | 2.87931 | 0.123677 | ||||||||
\(543\) | −12.7648 | − | 14.8666i | −0.547790 | − | 0.637986i | ||||
\(544\) | 2.96212 | 0.127000 | ||||||||
\(545\) | −23.5620 | −1.00929 | ||||||||
\(546\) | 4.91108 | + | 15.7760i | 0.210175 | + | 0.675149i | ||||
\(547\) | −26.8765 | −1.14916 | −0.574578 | − | 0.818450i | \(-0.694834\pi\) | ||||
−0.574578 | + | 0.818450i | \(0.694834\pi\) | |||||||
\(548\) | −2.15714 | −0.0921483 | ||||||||
\(549\) | 11.0710 | − | 13.8191i | 0.472500 | − | 0.589783i | ||||
\(550\) | −7.61587 | −0.324742 | ||||||||
\(551\) | 18.9950 | − | 10.9668i | 0.809214 | − | 0.467200i | ||||
\(552\) | −6.84837 | − | 7.97599i | −0.291486 | − | 0.339481i | ||||
\(553\) | −25.4998 | − | 9.55619i | −1.08436 | − | 0.406370i | ||||
\(554\) | −8.00292 | −0.340011 | ||||||||
\(555\) | −19.5138 | − | 6.85270i | −0.828314 | − | 0.290881i | ||||
\(556\) | 7.18997 | − | 4.15113i | 0.304922 | − | 0.176047i | ||||
\(557\) | 13.5744 | + | 23.5116i | 0.575167 | + | 0.996219i | 0.996023 | + | 0.0890918i | \(0.0283965\pi\) |
−0.420856 | + | 0.907127i | \(0.638270\pi\) | |||||||
\(558\) | 19.1892 | + | 15.3733i | 0.812342 | + | 0.650802i | ||||
\(559\) | 29.5585 | + | 19.0601i | 1.25019 | + | 0.806157i | ||||
\(560\) | 1.73863 | − | 4.63937i | 0.0734704 | − | 0.196049i | ||||
\(561\) | −24.6872 | − | 8.66945i | −1.04229 | − | 0.366024i | ||||
\(562\) | −6.16209 | −0.259932 | ||||||||
\(563\) | −16.3087 | −0.687329 | −0.343664 | − | 0.939093i | \(-0.611668\pi\) | ||||
−0.343664 | + | 0.939093i | \(0.611668\pi\) | |||||||
\(564\) | −1.79390 | + | 5.10832i | −0.0755368 | + | 0.215099i | ||||
\(565\) | −2.08382 | + | 3.60929i | −0.0876671 | + | 0.151844i | ||||
\(566\) | 11.9016 | − | 6.87141i | 0.500263 | − | 0.288827i | ||||
\(567\) | −22.0690 | + | 8.94195i | −0.926812 | + | 0.375526i | ||||
\(568\) | −7.27923 | − | 12.6080i | −0.305430 | − | 0.529020i | ||||
\(569\) | − | 26.1439i | − | 1.09601i | −0.836475 | − | 0.548005i | \(-0.815388\pi\) | ||
0.836475 | − | 0.548005i | \(-0.184612\pi\) | |||||||
\(570\) | 5.49682 | + | 6.40190i | 0.230236 | + | 0.268146i | ||||
\(571\) | −0.114124 | + | 0.197668i | −0.00477593 | + | 0.00827215i | −0.868403 | − | 0.495858i | \(-0.834854\pi\) |
0.863628 | + | 0.504130i | \(0.168187\pi\) | |||||||
\(572\) | 15.4536 | + | 9.96490i | 0.646148 | + | 0.416653i | ||||
\(573\) | 5.40256 | − | 1.01596i | 0.225695 | − | 0.0424422i | ||||
\(574\) | 14.6307 | − | 2.43687i | 0.610674 | − | 0.101713i | ||||
\(575\) | 7.84953 | + | 4.53193i | 0.327348 | + | 0.188995i | ||||
\(576\) | 0.453768 | − | 2.96548i | 0.0189070 | − | 0.123562i | ||||
\(577\) | −8.82331 | + | 15.2824i | −0.367319 | + | 0.636215i | −0.989145 | − | 0.146940i | \(-0.953058\pi\) |
0.621826 | + | 0.783155i | \(0.286391\pi\) | |||||||
\(578\) | 8.22582 | 0.342149 | ||||||||
\(579\) | −0.120124 | + | 0.342066i | −0.00499219 | + | 0.0142158i | ||||
\(580\) | −15.7879 | −0.655557 | ||||||||
\(581\) | 16.1982 | + | 19.6806i | 0.672016 | + | 0.816490i | ||||
\(582\) | 19.0830 | + | 6.70142i | 0.791016 | + | 0.277783i | ||||
\(583\) | − | 48.3942i | − | 2.00428i | ||||||
\(584\) | −1.99779 | + | 3.46027i | −0.0826690 | + | 0.143187i | ||||
\(585\) | 15.1669 | + | 13.4255i | 0.627074 | + | 0.555075i | ||||
\(586\) | −4.43117 | + | 2.55834i | −0.183050 | + | 0.105684i | ||||
\(587\) | −13.2115 | − | 7.62767i | −0.545298 | − | 0.314828i | 0.201926 | − | 0.979401i | \(-0.435280\pi\) |
−0.747223 | + | 0.664573i | \(0.768613\pi\) | |||||||
\(588\) | 5.98186 | + | 10.5460i | 0.246688 | + | 0.434908i | ||||
\(589\) | 10.6610 | + | 18.4655i | 0.439281 | + | 0.760857i | ||||
\(590\) | 2.06252 | + | 3.57238i | 0.0849124 | + | 0.147073i | ||||
\(591\) | −6.22279 | − | 33.0910i | −0.255971 | − | 1.36118i | ||||
\(592\) | 6.37656i | 0.262075i | ||||||||
\(593\) | −0.0222995 | + | 0.0128746i | −0.000915730 | + | 0.000528697i | −0.500458 | − | 0.865761i | \(-0.666835\pi\) |
0.499542 | + | 0.866290i | \(0.333502\pi\) | |||||||
\(594\) | −12.4611 | + | 23.3871i | −0.511285 | + | 0.959584i | ||||
\(595\) | −5.15003 | + | 13.7424i | −0.211131 | + | 0.563383i | ||||
\(596\) | 1.97912 | − | 3.42793i | 0.0810678 | − | 0.140414i | ||||
\(597\) | 16.3087 | + | 18.9940i | 0.667471 | + | 0.777374i | ||||
\(598\) | −9.99799 | − | 19.4665i | −0.408848 | − | 0.796045i | ||||
\(599\) | −21.8300 | − | 12.6035i | −0.891949 | − | 0.514967i | −0.0173692 | − | 0.999849i | \(-0.505529\pi\) |
−0.874579 | + | 0.484882i | \(0.838862\pi\) | |||||||
\(600\) | 0.478024 | + | 2.54199i | 0.0195153 | + | 0.103776i | ||||
\(601\) | −15.4945 | − | 8.94574i | −0.632033 | − | 0.364904i | 0.149506 | − | 0.988761i | \(-0.452232\pi\) |
−0.781539 | + | 0.623856i | \(0.785565\pi\) | |||||||
\(602\) | 24.1671 | + | 9.05674i | 0.984978 | + | 0.369125i | ||||
\(603\) | −12.0372 | − | 30.8734i | −0.490192 | − | 1.25726i | ||||
\(604\) | 4.82241 | + | 2.78422i | 0.196221 | + | 0.113288i | ||||
\(605\) | 28.1054i | 1.14265i | ||||||||
\(606\) | 10.2964 | + | 3.61580i | 0.418262 | + | 0.146882i | ||||
\(607\) | −22.8924 | − | 13.2169i | −0.929175 | − | 0.536459i | −0.0426244 | − | 0.999091i | \(-0.513572\pi\) |
−0.886551 | + | 0.462632i | \(0.846905\pi\) | |||||||
\(608\) | 1.30077 | − | 2.25300i | 0.0527532 | − | 0.0913713i | ||||
\(609\) | 24.7795 | − | 29.6426i | 1.00411 | − | 1.20118i | ||||
\(610\) | −11.0527 | −0.447510 | ||||||||
\(611\) | −6.10778 | + | 9.47197i | −0.247094 | + | 0.383195i | ||||
\(612\) | −1.34412 | + | 8.78413i | −0.0543327 | + | 0.355077i | ||||
\(613\) | −7.14521 | + | 4.12529i | −0.288593 | + | 0.166619i | −0.637307 | − | 0.770610i | \(-0.719952\pi\) |
0.348714 | + | 0.937229i | \(0.386618\pi\) | |||||||
\(614\) | −1.12751 | −0.0455024 | ||||||||
\(615\) | 13.7955 | − | 11.8451i | 0.556287 | − | 0.477641i | ||||
\(616\) | 12.6349 | + | 4.73499i | 0.509075 | + | 0.190778i | ||||
\(617\) | −2.53770 | − | 4.39542i | −0.102164 | − | 0.176953i | 0.810412 | − | 0.585860i | \(-0.199243\pi\) |
−0.912576 | + | 0.408907i | \(0.865910\pi\) | |||||||
\(618\) | 3.30794 | − | 9.41970i | 0.133065 | − | 0.378916i | ||||
\(619\) | 14.6995 | − | 25.4603i | 0.590822 | − | 1.02333i | −0.403300 | − | 0.915068i | \(-0.632137\pi\) |
0.994122 | − | 0.108266i | \(-0.0345298\pi\) | |||||||
\(620\) | − | 15.3478i | − | 0.616381i | ||||||
\(621\) | 26.7602 | − | 16.6895i | 1.07385 | − | 0.669726i | ||||
\(622\) | −5.59744 | + | 9.69505i | −0.224437 | + | 0.388736i | ||||
\(623\) | −24.8214 | − | 30.1576i | −0.994449 | − | 1.20824i | ||||
\(624\) | 2.35607 | − | 5.78351i | 0.0943182 | − | 0.231526i | ||||
\(625\) | 7.65160 | + | 13.2530i | 0.306064 | + | 0.530118i | ||||
\(626\) | −28.1564 | + | 16.2561i | −1.12536 | + | 0.649725i | ||||
\(627\) | −17.4350 | + | 14.9701i | −0.696287 | + | 0.597848i | ||||
\(628\) | 6.31098 | + | 3.64365i | 0.251836 | + | 0.145397i | ||||
\(629\) | − | 18.8882i | − | 0.753120i | ||||||
\(630\) | 12.9690 | + | 7.26106i | 0.516699 | + | 0.289288i | ||||
\(631\) | 31.4596 | − | 18.1632i | 1.25239 | − | 0.723066i | 0.280804 | − | 0.959765i | \(-0.409399\pi\) |
0.971583 | + | 0.236699i | \(0.0760655\pi\) | |||||||
\(632\) | 5.14630 | + | 8.91365i | 0.204709 | + | 0.354566i | ||||
\(633\) | 3.70650 | + | 19.7101i | 0.147320 | + | 0.783405i | ||||
\(634\) | −12.7161 | − | 22.0249i | −0.505020 | − | 0.874721i | ||||
\(635\) | 13.7536i | 0.545796i | ||||||||
\(636\) | −16.1528 | + | 3.03755i | −0.640501 | + | 0.120447i | ||||
\(637\) | 6.99807 | + | 24.2493i | 0.277274 | + | 0.960791i | ||||
\(638\) | − | 42.9969i | − | 1.70226i | ||||||
\(639\) | 40.6919 | − | 15.8653i | 1.60975 | − | 0.627623i | ||||
\(640\) | −1.62172 | + | 0.936303i | −0.0641043 | + | 0.0370106i | ||||
\(641\) | − | 0.739636i | − | 0.0292139i | −0.999893 | − | 0.0146069i | \(-0.995350\pi\) | ||
0.999893 | − | 0.0146069i | \(-0.00464970\pi\) | |||||||
\(642\) | −6.93549 | − | 8.07745i | −0.273722 | − | 0.318792i | ||||
\(643\) | −2.41482 | − | 4.18259i | −0.0952313 | − | 0.164945i | 0.814474 | − | 0.580200i | \(-0.197026\pi\) |
−0.909705 | + | 0.415255i | \(0.863692\pi\) | |||||||
\(644\) | −10.2049 | − | 12.3988i | −0.402131 | − | 0.488583i | ||||
\(645\) | 31.0937 | − | 5.84720i | 1.22431 | − | 0.230233i | ||||
\(646\) | −3.85305 | + | 6.67367i | −0.151596 | + | 0.262572i | ||||
\(647\) | −2.02071 | − | 3.49997i | −0.0794422 | − | 0.137598i | 0.823567 | − | 0.567219i | \(-0.191981\pi\) |
−0.903009 | + | 0.429621i | \(0.858647\pi\) | |||||||
\(648\) | 8.58819 | + | 2.69128i | 0.337376 | + | 0.105723i | ||||
\(649\) | −9.72906 | + | 5.61707i | −0.381899 | + | 0.220489i | ||||
\(650\) | −0.264430 | + | 5.37783i | −0.0103718 | + | 0.210936i | ||||
\(651\) | 28.8163 | + | 24.0887i | 1.12940 | + | 0.944109i | ||||
\(652\) | −17.1552 | − | 9.90456i | −0.671849 | − | 0.387892i | ||||
\(653\) | − | 46.7035i | − | 1.82765i | −0.406108 | − | 0.913825i | \(-0.633114\pi\) | ||
0.406108 | − | 0.913825i | \(-0.366886\pi\) | |||||||
\(654\) | −21.4181 | + | 4.02769i | −0.837513 | + | 0.157495i | ||||
\(655\) | 1.50996 | + | 0.871775i | 0.0589989 | + | 0.0340631i | ||||
\(656\) | −4.85500 | − | 2.80304i | −0.189556 | − | 0.109440i | ||||
\(657\) | −9.35484 | − | 7.49456i | −0.364967 | − | 0.292391i | ||||
\(658\) | −2.90221 | + | 7.74430i | −0.113140 | + | 0.301904i | ||||
\(659\) | 40.3288 | − | 23.2838i | 1.57099 | − | 0.907009i | 0.574937 | − | 0.818198i | \(-0.305027\pi\) |
0.996048 | − | 0.0888111i | \(-0.0283067\pi\) | |||||||
\(660\) | 16.2562 | − | 3.05700i | 0.632773 | − | 0.118994i | ||||
\(661\) | −22.2936 | − | 38.6137i | −0.867122 | − | 1.50190i | −0.864924 | − | 0.501902i | \(-0.832634\pi\) |
−0.00219813 | − | 0.999998i | \(-0.500700\pi\) | |||||||
\(662\) | 6.22337 | + | 3.59306i | 0.241878 | + | 0.139648i | ||||
\(663\) | −6.97896 | + | 17.1315i | −0.271040 | + | 0.665331i | ||||
\(664\) | − | 9.63409i | − | 0.373875i | ||||||
\(665\) | 8.19096 | + | 9.95189i | 0.317632 | + | 0.385918i | ||||
\(666\) | −18.9096 | − | 2.89348i | −0.732731 | − | 0.112120i | ||||
\(667\) | −25.5859 | + | 44.3161i | −0.990690 | + | 1.71593i | ||||
\(668\) | 13.0891 | + | 7.55698i | 0.506432 | + | 0.292388i | ||||
\(669\) | −2.13675 | − | 11.3626i | −0.0826114 | − | 0.439303i | ||||
\(670\) | −10.3421 | + | 17.9130i | −0.399549 | + | 0.692040i | ||||
\(671\) | − | 30.1010i | − | 1.16204i | ||||||
\(672\) | 0.787372 | − | 4.51443i | 0.0303735 | − | 0.174148i | ||||
\(673\) | −7.92610 | + | 13.7284i | −0.305529 | + | 0.529191i | −0.977379 | − | 0.211496i | \(-0.932166\pi\) |
0.671850 | + | 0.740687i | \(0.265500\pi\) | |||||||
\(674\) | −19.2711 | −0.742295 | ||||||||
\(675\) | −7.75515 | + | 0.264099i | −0.298496 | + | 0.0101652i | ||||
\(676\) | 7.57313 | − | 10.5663i | 0.291274 | − | 0.406398i | ||||
\(677\) | 2.65460 | + | 4.59790i | 0.102024 | + | 0.176711i | 0.912519 | − | 0.409035i | \(-0.134135\pi\) |
−0.810494 | + | 0.585747i | \(0.800801\pi\) | |||||||
\(678\) | −1.27724 | + | 3.63708i | −0.0490522 | + | 0.139681i | ||||
\(679\) | 28.9302 | + | 10.8417i | 1.11024 | + | 0.416067i | ||||
\(680\) | 4.80375 | − | 2.77345i | 0.184215 | − | 0.106357i | ||||
\(681\) | −20.8537 | − | 24.2873i | −0.799114 | − | 0.930693i | ||||
\(682\) | 41.7983 | 1.60054 | ||||||||
\(683\) | −11.9713 | −0.458070 | −0.229035 | − | 0.973418i | \(-0.573557\pi\) | ||||
−0.229035 | + | 0.973418i | \(0.573557\pi\) | |||||||
\(684\) | 6.09099 | + | 4.87976i | 0.232895 | + | 0.186582i | ||||
\(685\) | −3.49828 | + | 2.01973i | −0.133662 | + | 0.0771701i | ||||
\(686\) | 8.79982 | + | 16.2961i | 0.335979 | + | 0.622188i | ||||
\(687\) | 0.328615 | + | 0.115401i | 0.0125375 | + | 0.00440280i | ||||
\(688\) | −4.87733 | − | 8.44778i | −0.185946 | − | 0.322069i | ||||
\(689\) | −34.1729 | − | 1.68029i | −1.30188 | − | 0.0640141i | ||||
\(690\) | −18.5741 | − | 6.52271i | −0.707104 | − | 0.248315i | ||||
\(691\) | 38.9891 | 1.48322 | 0.741608 | − | 0.670834i | \(-0.234064\pi\) | ||||
0.741608 | + | 0.670834i | \(0.234064\pi\) | |||||||
\(692\) | 9.62713 | − | 16.6747i | 0.365969 | − | 0.633876i | ||||
\(693\) | −19.7749 | + | 35.3200i | −0.751184 | + | 1.34170i | ||||
\(694\) | 7.79589i | 0.295928i | ||||||||
\(695\) | 7.77343 | − | 13.4640i | 0.294863 | − | 0.510718i | ||||
\(696\) | −14.3513 | + | 2.69878i | −0.543986 | + | 0.102297i | ||||
\(697\) | 14.3811 | + | 8.30294i | 0.544723 | + | 0.314496i | ||||
\(698\) | −7.17103 | + | 12.4206i | −0.271428 | + | 0.470127i | ||||
\(699\) | −7.36048 | + | 20.9597i | −0.278399 | + | 0.792771i | ||||
\(700\) | 0.649132 | + | 3.89733i | 0.0245349 | + | 0.147305i | ||||
\(701\) | − | 41.8339i | − | 1.58005i | −0.613078 | − | 0.790023i | \(-0.710069\pi\) | ||
0.613078 | − | 0.790023i | \(-0.289931\pi\) | |||||||
\(702\) | 16.0818 | + | 9.61125i | 0.606968 | + | 0.362753i | ||||
\(703\) | −14.3664 | − | 8.29444i | −0.541839 | − | 0.312831i | ||||
\(704\) | −2.54994 | − | 4.41662i | −0.0961044 | − | 0.166458i | ||||
\(705\) | 1.87373 | + | 9.96393i | 0.0705686 | + | 0.375263i | ||||
\(706\) | 22.0306 | − | 12.7194i | 0.829134 | − | 0.478701i | ||||
\(707\) | 15.6095 | + | 5.84973i | 0.587055 | + | 0.220002i | ||||
\(708\) | 2.48551 | + | 2.89476i | 0.0934110 | + | 0.108792i | ||||
\(709\) | 9.91254 | + | 5.72301i | 0.372273 | + | 0.214932i | 0.674451 | − | 0.738320i | \(-0.264380\pi\) |
−0.302178 | + | 0.953252i | \(0.597714\pi\) | |||||||
\(710\) | −23.6098 | − | 13.6311i | −0.886061 | − | 0.511567i | ||||
\(711\) | −28.7685 | + | 11.2165i | −1.07890 | + | 0.420653i | ||||
\(712\) | 14.7628i | 0.553260i | ||||||||
\(713\) | −43.0807 | − | 24.8726i | −1.61338 | − | 0.931488i | ||||
\(714\) | −2.33229 | + | 13.3723i | −0.0872839 | + | 0.500445i | ||||
\(715\) | 34.3917 | + | 1.69105i | 1.28618 | + | 0.0632418i | ||||
\(716\) | −4.65318 | + | 2.68651i | −0.173897 | + | 0.100400i | ||||
\(717\) | 39.7906 | − | 34.1652i | 1.48601 | − | 1.27592i | ||||
\(718\) | 4.87490 | + | 8.44358i | 0.181930 | + | 0.315112i | ||||
\(719\) | 16.1498 | − | 27.9723i | 0.602286 | − | 1.04319i | −0.390188 | − | 0.920735i | \(-0.627590\pi\) |
0.992474 | − | 0.122455i | \(-0.0390768\pi\) | |||||||
\(720\) | −2.04071 | − | 5.23406i | −0.0760526 | − | 0.195062i | ||||
\(721\) | 5.35166 | − | 14.2804i | 0.199306 | − | 0.531831i | ||||
\(722\) | −6.11599 | − | 10.5932i | −0.227614 | − | 0.394238i | ||||
\(723\) | −10.9664 | + | 9.41599i | −0.407844 | + | 0.350184i | ||||
\(724\) | 11.3131i | 0.420446i | ||||||||
\(725\) | 10.9036 | − | 6.29518i | 0.404948 | − | 0.233797i | ||||
\(726\) | 4.80433 | + | 25.5481i | 0.178306 | + | 0.948177i | ||||
\(727\) | − | 35.0984i | − | 1.30173i | −0.759195 | − | 0.650863i | \(-0.774407\pi\) | ||
0.759195 | − | 0.650863i | \(-0.225593\pi\) | |||||||
\(728\) | 3.78224 | − | 8.75755i | 0.140179 | − | 0.324576i | ||||
\(729\) | −11.8780 | + | 24.2469i | −0.439926 | + | 0.898034i | ||||
\(730\) | 7.48214i | 0.276926i | ||||||||
\(731\) | 14.4473 | + | 25.0234i | 0.534351 | + | 0.925523i | ||||
\(732\) | −10.0470 | + | 1.88934i | −0.371347 | + | 0.0698321i | ||||
\(733\) | 1.14358 | + | 1.98073i | 0.0422389 | + | 0.0731600i | 0.886372 | − | 0.462974i | \(-0.153218\pi\) |
−0.844133 | + | 0.536134i | \(0.819884\pi\) | |||||||
\(734\) | 12.5943 | − | 7.27133i | 0.464864 | − | 0.268390i | ||||
\(735\) | 19.5752 | + | 11.5018i | 0.722040 | + | 0.424251i | ||||
\(736\) | 6.06950i | 0.223725i | ||||||||
\(737\) | −48.7845 | − | 28.1657i | −1.79700 | − | 1.03750i | ||||
\(738\) | 10.5154 | − | 13.1255i | 0.387077 | − | 0.483156i | ||||
\(739\) | −5.64299 | + | 3.25798i | −0.207581 | + | 0.119847i | −0.600186 | − | 0.799860i | \(-0.704907\pi\) |
0.392606 | + | 0.919707i | \(0.371574\pi\) | |||||||
\(740\) | 5.97039 | + | 10.3410i | 0.219476 | + | 0.380144i | ||||
\(741\) | 9.96555 | + | 12.8312i | 0.366094 | + | 0.471367i | ||||
\(742\) | −24.7652 | + | 4.12484i | −0.909158 | + | 0.151428i | ||||
\(743\) | −14.5039 | + | 25.1215i | −0.532097 | + | 0.921620i | 0.467201 | + | 0.884151i | \(0.345263\pi\) |
−0.999298 | + | 0.0374682i | \(0.988071\pi\) | |||||||
\(744\) | −2.62354 | − | 13.9512i | −0.0961838 | − | 0.511478i | ||||
\(745\) | − | 7.41222i | − | 0.271563i | ||||||
\(746\) | −6.87679 | + | 11.9109i | −0.251777 | + | 0.436091i | ||||
\(747\) | 28.5697 | + | 4.37164i | 1.04531 | + | 0.159950i | ||||
\(748\) | 7.55323 | + | 13.0826i | 0.276173 | + | 0.478346i | ||||
\(749\) | −10.3348 | − | 12.5566i | −0.377624 | − | 0.458807i | ||||
\(750\) | 13.7198 | + | 15.9789i | 0.500978 | + | 0.583466i | ||||
\(751\) | 30.8433 | 1.12549 | 0.562744 | − | 0.826631i | \(-0.309746\pi\) | ||||
0.562744 | + | 0.826631i | \(0.309746\pi\) | |||||||
\(752\) | 2.70708 | − | 1.56293i | 0.0987169 | − | 0.0569942i | ||||
\(753\) | 1.06283 | + | 0.373238i | 0.0387318 | + | 0.0136015i | ||||
\(754\) | −30.3616 | − | 1.49289i | −1.10571 | − | 0.0543680i | ||||
\(755\) | 10.4275 | 0.379495 | ||||||||
\(756\) | 13.0302 | + | 4.38344i | 0.473903 | + | 0.159424i | ||||
\(757\) | −10.6357 | + | 18.4215i | −0.386560 | + | 0.669542i | −0.991984 | − | 0.126361i | \(-0.959670\pi\) |
0.605424 | + | 0.795903i | \(0.293004\pi\) | |||||||
\(758\) | −25.1138 | − | 14.4995i | −0.912176 | − | 0.526645i | ||||
\(759\) | 17.7640 | − | 50.5849i | 0.644793 | − | 1.83612i | ||||
\(760\) | − | 4.87167i | − | 0.176714i | ||||||
\(761\) | −21.3492 | − | 12.3260i | −0.773908 | − | 0.446816i | 0.0603590 | − | 0.998177i | \(-0.480775\pi\) |
−0.834267 | + | 0.551361i | \(0.814109\pi\) | |||||||
\(762\) | 2.35104 | + | 12.5022i | 0.0851692 | + | 0.452905i | ||||
\(763\) | −32.8377 | + | 5.46939i | −1.18881 | + | 0.198005i | ||||
\(764\) | −2.74863 | − | 1.58692i | −0.0994418 | − | 0.0574128i | ||||
\(765\) | 6.04482 | + | 15.5039i | 0.218551 | + | 0.560546i | ||||
\(766\) | −4.84882 | − | 2.79947i | −0.175195 | − | 0.101149i | ||||
\(767\) | 3.62861 | + | 7.06506i | 0.131022 | + | 0.255105i | ||||
\(768\) | −1.31411 | + | 1.12832i | −0.0474188 | + | 0.0407149i | ||||
\(769\) | 6.30372 | − | 10.9184i | 0.227318 | − | 0.393726i | −0.729694 | − | 0.683773i | \(-0.760338\pi\) |
0.957012 | + | 0.290047i | \(0.0936710\pi\) | |||||||
\(770\) | 24.9237 | − | 4.15125i | 0.898189 | − | 0.149601i | ||||
\(771\) | −9.74872 | + | 8.37047i | −0.351092 | + | 0.301455i | ||||
\(772\) | 0.181273 | − | 0.104658i | 0.00652415 | − | 0.00376672i | ||||
\(773\) | − | 20.1987i | − | 0.726496i | −0.931692 | − | 0.363248i | \(-0.881668\pi\) | ||
0.931692 | − | 0.363248i | \(-0.118332\pi\) | |||||||
\(774\) | 27.2649 | − | 10.6303i | 0.980018 | − | 0.382099i | ||||
\(775\) | 6.11968 | + | 10.5996i | 0.219826 | + | 0.380749i | ||||
\(776\) | −5.83860 | − | 10.1127i | −0.209593 | − | 0.363026i | ||||
\(777\) | −28.7865 | − | 5.02073i | −1.03271 | − | 0.180118i | ||||
\(778\) | −4.31018 | − | 2.48848i | −0.154527 | − | 0.0892164i | ||||
\(779\) | 12.6305 | − | 7.29222i | 0.452534 | − | 0.261271i | ||||
\(780\) | −1.59422 | − | 11.5852i | −0.0570824 | − | 0.414818i | ||||
\(781\) | 37.1232 | − | 64.2992i | 1.32837 | − | 2.30081i | ||||
\(782\) | − | 17.9786i | − | 0.642914i | ||||||
\(783\) | −1.49102 | − | 43.7832i | −0.0532848 | − | 1.56469i | ||||
\(784\) | 1.34615 | − | 6.86934i | 0.0480767 | − | 0.245334i | ||||
\(785\) | 13.6462 | 0.487055 | ||||||||
\(786\) | 1.52158 | + | 0.534338i | 0.0542731 | + | 0.0190592i | ||||
\(787\) | 17.5342 | 0.625026 | 0.312513 | − | 0.949913i | \(-0.398829\pi\) | ||||
0.312513 | + | 0.949913i | \(0.398829\pi\) | |||||||
\(788\) | −9.71998 | + | 16.8355i | −0.346260 | + | 0.599740i | ||||
\(789\) | −11.5073 | + | 32.7682i | −0.409669 | + | 1.16658i | ||||
\(790\) | 16.6918 | + | 9.63699i | 0.593866 | + | 0.342869i | ||||
\(791\) | −2.06635 | + | 5.51388i | −0.0734710 | + | 0.196051i | ||||
\(792\) | 14.2545 | − | 5.55768i | 0.506511 | − | 0.197483i | ||||
\(793\) | −21.2554 | − | 1.04513i | −0.754800 | − | 0.0371138i | ||||
\(794\) | −8.11912 | + | 14.0627i | −0.288137 | + | 0.499068i | ||||
\(795\) | −23.3514 | + | 20.0500i | −0.828187 | + | 0.711101i | ||||
\(796\) | − | 14.4539i | − | 0.512306i | ||||||
\(797\) | −24.3061 | − | 42.0995i | −0.860968 | − | 1.49124i | −0.870996 | − | 0.491290i | \(-0.836525\pi\) |
0.0100279 | − | 0.999950i | \(-0.496808\pi\) | |||||||
\(798\) | 9.14682 | + | 7.64619i | 0.323794 | + | 0.270672i | ||||
\(799\) | −8.01869 | + | 4.62959i | −0.283681 | + | 0.163783i | ||||
\(800\) | 0.746672 | − | 1.29327i | 0.0263989 | − | 0.0457242i | ||||
\(801\) | −43.7789 | − | 6.69889i | −1.54685 | − | 0.236694i | ||||
\(802\) | −6.92045 | −0.244370 | ||||||||
\(803\) | −20.3769 | −0.719086 | ||||||||
\(804\) | −6.33899 | + | 18.0509i | −0.223559 | + | 0.636608i | ||||
\(805\) | −28.1587 | − | 10.5526i | −0.992463 | − | 0.371930i | ||||
\(806\) | 1.45128 | − | 29.5152i | 0.0511190 | − | 1.03963i | ||||
\(807\) | 16.4067 | − | 14.0871i | 0.577542 | − | 0.495891i | ||||
\(808\) | −3.15026 | − | 5.45640i | −0.110826 | − | 0.191956i | ||||
\(809\) | −7.20663 | + | 4.16075i | −0.253372 | + | 0.146284i | −0.621307 | − | 0.783567i | \(-0.713398\pi\) |
0.367936 | + | 0.929851i | \(0.380065\pi\) | |||||||
\(810\) | 16.4475 | − | 3.67663i | 0.577907 | − | 0.129184i | ||||
\(811\) | 21.9549 | 0.770941 | 0.385470 | − | 0.922720i | \(-0.374039\pi\) | ||||
0.385470 | + | 0.922720i | \(0.374039\pi\) | |||||||
\(812\) | −22.0031 | + | 3.66480i | −0.772159 | + | 0.128609i | ||||
\(813\) | 3.78373 | − | 3.24880i | 0.132701 | − | 0.113940i | ||||
\(814\) | −28.1628 | + | 16.2598i | −0.987107 | + | 0.569907i | ||||
\(815\) | −37.0947 | −1.29937 | ||||||||
\(816\) | 3.89256 | − | 3.34224i | 0.136267 | − | 0.117002i | ||||
\(817\) | 25.3772 | 0.887834 | ||||||||
\(818\) | −11.3829 | −0.397995 | ||||||||
\(819\) | 24.2541 | + | 15.1901i | 0.847507 | + | 0.530784i | ||||
\(820\) | −10.4980 | −0.366605 | ||||||||
\(821\) | 27.3330 | 0.953929 | 0.476964 | − | 0.878923i | \(-0.341737\pi\) | ||||
0.476964 | + | 0.878923i | \(0.341737\pi\) | |||||||
\(822\) | −2.83471 | + | 2.43395i | −0.0988720 | + | 0.0848938i | ||||
\(823\) | 12.7593 | 0.444760 | 0.222380 | − | 0.974960i | \(-0.428618\pi\) | ||||
0.222380 | + | 0.974960i | \(0.428618\pi\) | |||||||
\(824\) | −4.99182 | + | 2.88203i | −0.173898 | + | 0.100400i | ||||
\(825\) | −10.0081 | + | 8.59317i | −0.348437 | + | 0.299176i | ||||
\(826\) | 3.70372 | + | 4.49996i | 0.128869 | + | 0.156574i | ||||
\(827\) | 43.7556 | 1.52153 | 0.760766 | − | 0.649027i | \(-0.224824\pi\) | ||||
0.760766 | + | 0.649027i | \(0.224824\pi\) | |||||||
\(828\) | −17.9990 | − | 2.75414i | −0.625509 | − | 0.0957131i | ||||
\(829\) | −35.5899 | + | 20.5478i | −1.23609 | + | 0.713656i | −0.968292 | − | 0.249819i | \(-0.919629\pi\) |
−0.267796 | + | 0.963476i | \(0.586295\pi\) | |||||||
\(830\) | −9.02043 | − | 15.6238i | −0.313104 | − | 0.542311i | ||||
\(831\) | −10.5167 | + | 9.02989i | −0.364821 | + | 0.313243i | ||||
\(832\) | −3.20727 | + | 1.64725i | −0.111192 | + | 0.0571082i | ||||
\(833\) | −3.98746 | + | 20.3478i | −0.138157 | + | 0.705011i | ||||
\(834\) | 4.76458 | − | 13.5677i | 0.164984 | − | 0.469809i | ||||
\(835\) | 28.3025 | 0.979449 | ||||||||
\(836\) | 13.2675 | 0.458867 | ||||||||
\(837\) | 42.5627 | − | 1.44946i | 1.47118 | − | 0.0501005i | ||||
\(838\) | 4.51941 | − | 7.82784i | 0.156120 | − | 0.270408i | ||||
\(839\) | 19.7685 | − | 11.4133i | 0.682484 | − | 0.394032i | −0.118306 | − | 0.992977i | \(-0.537747\pi\) |
0.800790 | + | 0.598945i | \(0.204413\pi\) | |||||||
\(840\) | −2.94997 | − | 8.05838i | −0.101784 | − | 0.278040i | ||||
\(841\) | 21.0407 | + | 36.4435i | 0.725540 | + | 1.25667i | ||||
\(842\) | − | 3.07453i | − | 0.105955i | ||||||
\(843\) | −8.09766 | + | 6.95284i | −0.278898 | + | 0.239468i | ||||
\(844\) | 5.78954 | − | 10.0278i | 0.199284 | − | 0.345170i | ||||
\(845\) | 2.38822 | − | 24.2265i | 0.0821574 | − | 0.833415i | ||||
\(846\) | 3.40646 | + | 8.73700i | 0.117117 | + | 0.300384i | ||||
\(847\) | 6.52404 | + | 39.1697i | 0.224169 | + | 1.34589i | ||||
\(848\) | 8.21797 | + | 4.74465i | 0.282206 | + | 0.162932i | ||||
\(849\) | 7.88686 | − | 22.4587i | 0.270676 | − | 0.770780i | ||||
\(850\) | −2.21174 | + | 3.83084i | −0.0758619 | + | 0.131397i | ||||
\(851\) | 38.7025 | 1.32671 | ||||||||
\(852\) | −23.7916 | − | 8.35496i | −0.815088 | − | 0.286236i | ||||
\(853\) | −4.19858 | −0.143757 | −0.0718783 | − | 0.997413i | \(-0.522899\pi\) | ||||
−0.0718783 | + | 0.997413i | \(0.522899\pi\) | |||||||
\(854\) | −15.4038 | + | 2.56563i | −0.527108 | + | 0.0877941i | ||||
\(855\) | 14.4468 | + | 2.21060i | 0.494072 | + | 0.0756011i | ||||
\(856\) | 6.14671i | 0.210090i | ||||||||
\(857\) | 4.09187 | − | 7.08733i | 0.139776 | − | 0.242099i | −0.787636 | − | 0.616141i | \(-0.788695\pi\) |
0.927412 | + | 0.374042i | \(0.122028\pi\) | |||||||
\(858\) | 31.5514 | − | 4.34172i | 1.07715 | − | 0.148224i | ||||
\(859\) | −42.2454 | + | 24.3904i | −1.44139 | + | 0.832189i | −0.997943 | − | 0.0641096i | \(-0.979579\pi\) |
−0.443451 | + | 0.896299i | \(0.646246\pi\) | |||||||
\(860\) | −15.8194 | − | 9.13332i | −0.539436 | − | 0.311444i | ||||
\(861\) | 16.4768 | − | 19.7105i | 0.561527 | − | 0.671732i | ||||
\(862\) | −11.6404 | − | 20.1618i | −0.396475 | − | 0.686714i | ||||
\(863\) | 0.899862 | + | 1.55861i | 0.0306316 | + | 0.0530556i | 0.880935 | − | 0.473238i | \(-0.156915\pi\) |
−0.850303 | + | 0.526293i | \(0.823581\pi\) | |||||||
\(864\) | −2.74973 | − | 4.40897i | −0.0935476 | − | 0.149996i | ||||
\(865\) | − | 36.0557i | − | 1.22593i | ||||||
\(866\) | 23.9459 | − | 13.8252i | 0.813715 | − | 0.469799i | ||||
\(867\) | 10.8096 | − | 9.28140i | 0.367114 | − | 0.315213i | ||||
\(868\) | −3.56264 | − | 21.3898i | −0.120924 | − | 0.726016i | ||||
\(869\) | −26.2455 | + | 45.4585i | −0.890317 | + | 1.54207i | ||||
\(870\) | −20.7470 | + | 17.8139i | −0.703390 | + | 0.603947i | ||||
\(871\) | −21.5826 | + | 33.4705i | −0.731300 | + | 1.13410i | ||||
\(872\) | 10.8967 | + | 6.29124i | 0.369010 | + | 0.213048i | ||||
\(873\) | 32.6386 | − | 12.7254i | 1.10465 | − | 0.430691i | ||||
\(874\) | −13.6746 | − | 7.89503i | −0.462550 | − | 0.267054i | ||||
\(875\) | 20.4443 | + | 24.8395i | 0.691143 | + | 0.839729i | ||||
\(876\) | 1.27900 | + | 6.80132i | 0.0432132 | + | 0.229795i | ||||
\(877\) | −34.6606 | − | 20.0113i | −1.17040 | − | 0.675733i | −0.216629 | − | 0.976254i | \(-0.569506\pi\) |
−0.953775 | + | 0.300521i | \(0.902839\pi\) | |||||||
\(878\) | − | 4.37253i | − | 0.147566i | ||||||
\(879\) | −2.93641 | + | 8.36174i | −0.0990426 | + | 0.282034i | ||||
\(880\) | −8.27059 | − | 4.77503i | −0.278802 | − | 0.160966i | ||||
\(881\) | −1.57402 | + | 2.72629i | −0.0530302 | + | 0.0918510i | −0.891322 | − | 0.453371i | \(-0.850221\pi\) |
0.838292 | + | 0.545222i | \(0.183555\pi\) | |||||||
\(882\) | 19.7601 | + | 7.10907i | 0.665357 | + | 0.239375i | ||||
\(883\) | −5.79510 | −0.195021 | −0.0975103 | − | 0.995235i | \(-0.531088\pi\) | ||||
−0.0975103 | + | 0.995235i | \(0.531088\pi\) | |||||||
\(884\) | 9.50032 | − | 4.87936i | 0.319530 | − | 0.164111i | ||||
\(885\) | 6.74118 | + | 2.36731i | 0.226602 | + | 0.0795764i | ||||
\(886\) | 2.31071 | − | 1.33409i | 0.0776299 | − | 0.0448196i | ||||
\(887\) | −48.8111 | −1.63892 | −0.819458 | − | 0.573139i | \(-0.805725\pi\) | ||||
−0.819458 | + | 0.573139i | \(0.805725\pi\) | |||||||
\(888\) | 7.19483 | + | 8.37950i | 0.241443 | + | 0.281197i | ||||
\(889\) | 3.19259 | + | 19.1680i | 0.107076 | + | 0.642875i | ||||
\(890\) | 13.8225 | + | 23.9412i | 0.463330 | + | 0.802512i | ||||
\(891\) | 10.0130 | + | 44.7934i | 0.335447 | + | 1.50063i | ||||
\(892\) | −3.33759 | + | 5.78088i | −0.111751 | + | 0.193558i | ||||
\(893\) | 8.13206i | 0.272129i | ||||||||
\(894\) | −1.26704 | − | 6.73777i | −0.0423763 | − | 0.225345i | ||||
\(895\) | −5.03078 | + | 8.71357i | −0.168161 | + | 0.291263i | ||||
\(896\) | −2.04281 | + | 1.68135i | −0.0682455 | + | 0.0561698i | ||||
\(897\) | −35.1030 | − | 14.3002i | −1.17206 | − | 0.477468i | ||||
\(898\) | 7.64162 | + | 13.2357i | 0.255004 | + | 0.441680i | ||||
\(899\) | −59.8421 | + | 34.5499i | −1.99585 | + | 1.15230i | ||||
\(900\) | 3.49637 | + | 2.80109i | 0.116546 | + | 0.0933697i | ||||
\(901\) | −24.3427 | − | 14.0542i | −0.810972 | − | 0.468215i | ||||
\(902\) | − | 28.5903i | − | 0.951951i | ||||||
\(903\) | 41.9772 | − | 15.3668i | 1.39691 | − | 0.511375i | ||||
\(904\) | 1.92741 | − | 1.11279i | 0.0641049 | − | 0.0370110i | ||||
\(905\) | 10.5924 | + | 18.3467i | 0.352105 | + | 0.609864i | ||||
\(906\) | 9.47867 | − | 1.78247i | 0.314908 | − | 0.0592187i | ||||
\(907\) | 11.9759 | + | 20.7429i | 0.397653 | + | 0.688756i | 0.993436 | − | 0.114390i | \(-0.0364913\pi\) |
−0.595783 | + | 0.803146i | \(0.703158\pi\) | |||||||
\(908\) | 18.4820i | 0.613346i | ||||||||
\(909\) | 17.6104 | − | 6.86609i | 0.584099 | − | 0.227734i | ||||
\(910\) | −2.06597 | − | 17.7437i | −0.0684862 | − | 0.588197i | ||||
\(911\) | − | 51.9614i | − | 1.72156i | −0.508979 | − | 0.860779i | \(-0.669977\pi\) | ||
0.508979 | − | 0.860779i | \(-0.330023\pi\) | |||||||
\(912\) | −0.832761 | − | 4.42838i | −0.0275755 | − | 0.146638i | ||||
\(913\) | 42.5501 | − | 24.5663i | 1.40820 | − | 0.813026i | ||||
\(914\) | − | 6.93705i | − | 0.229457i | ||||||
\(915\) | −14.5244 | + | 12.4710i | −0.480163 | + | 0.412279i | ||||
\(916\) | −0.100542 | − | 0.174145i | −0.00332201 | − | 0.00575390i | ||||
\(917\) | 2.30675 | + | 0.864465i | 0.0761756 | + | 0.0285471i | ||||
\(918\) | 8.14504 | + | 13.0599i | 0.268826 | + | 0.431041i | ||||
\(919\) | 18.8651 | − | 32.6754i | 0.622303 | − | 1.07786i | −0.366753 | − | 0.930319i | \(-0.619530\pi\) |
0.989056 | − | 0.147542i | \(-0.0471363\pi\) | |||||||
\(920\) | 5.68289 | + | 9.84306i | 0.187359 | + | 0.324516i | ||||
\(921\) | −1.48167 | + | 1.27219i | −0.0488226 | + | 0.0419202i | ||||
\(922\) | 17.6491 | − | 10.1897i | 0.581242 | − | 0.335580i | ||||
\(923\) | −44.1150 | − | 28.4465i | −1.45206 | − | 0.936328i | ||||
\(924\) | 21.9463 | − | 8.03398i | 0.721979 | − | 0.264298i | ||||
\(925\) | −8.24664 | − | 4.76120i | −0.271148 | − | 0.156547i | ||||
\(926\) | 22.4244i | 0.736912i | ||||||||
\(927\) | −6.28149 | − | 16.1109i | −0.206311 | − | 0.529153i | ||||
\(928\) | 7.30144 | + | 4.21549i | 0.239681 | + | 0.138380i | ||||
\(929\) | 20.9701 | + | 12.1071i | 0.688006 | + | 0.397220i | 0.802865 | − | 0.596162i | \(-0.203308\pi\) |
−0.114859 | + | 0.993382i | \(0.536642\pi\) | |||||||
\(930\) | −17.3173 | − | 20.1687i | −0.567856 | − | 0.661356i | ||||
\(931\) | 13.7256 | + | 11.9683i | 0.449839 | + | 0.392246i | ||||
\(932\) | 11.1073 | − | 6.41280i | 0.363831 | − | 0.210058i | ||||
\(933\) | 3.58351 | + | 19.0561i | 0.117319 | + | 0.623868i | ||||
\(934\) | −9.83436 | − | 17.0336i | −0.321790 | − | 0.557357i | ||||
\(935\) | 24.4985 | + | 14.1442i | 0.801187 | + | 0.462566i | ||||
\(936\) | −3.42954 | − | 10.2586i | −0.112098 | − | 0.335312i | ||||
\(937\) | 25.9178i | 0.846698i | 0.905967 | + | 0.423349i | \(0.139146\pi\) | ||||
−0.905967 | + | 0.423349i | \(0.860854\pi\) | |||||||
\(938\) | −10.2554 | + | 27.3655i | −0.334849 | + | 0.893516i | ||||
\(939\) | −18.6584 | + | 53.1319i | −0.608895 | + | 1.73389i | ||||
\(940\) | 2.92675 | − | 5.06929i | 0.0954602 | − | 0.165342i | ||||
\(941\) | 51.6878 | + | 29.8420i | 1.68498 | + | 0.972821i | 0.958267 | + | 0.285875i | \(0.0922843\pi\) |
0.726709 | + | 0.686946i | \(0.241049\pi\) | |||||||
\(942\) | 12.4045 | − | 2.33268i | 0.404162 | − | 0.0760030i | ||||
\(943\) | −17.0130 | + | 29.4674i | −0.554020 | + | 0.959592i | ||||
\(944\) | − | 2.20283i | − | 0.0716960i | ||||||
\(945\) | 25.2356 | − | 5.09146i | 0.820914 | − | 0.165625i | ||||
\(946\) | 24.8738 | − | 43.0826i | 0.808716 | − | 1.40074i | ||||
\(947\) | −21.8964 | −0.711538 | −0.355769 | − | 0.934574i | \(-0.615781\pi\) | ||||
−0.355769 | + | 0.934574i | \(0.615781\pi\) | |||||||
\(948\) | 16.8203 | + | 5.90682i | 0.546298 | + | 0.191845i | ||||
\(949\) | −0.707506 | + | 14.3889i | −0.0229666 | + | 0.467082i | ||||
\(950\) | 1.94250 | + | 3.36451i | 0.0630230 | + | 0.109159i | ||||
\(951\) | −41.5616 | − | 14.5953i | −1.34773 | − | 0.473284i | ||||
\(952\) | 6.05106 | − | 4.98036i | 0.196116 | − | 0.161414i | ||||
\(953\) | 5.23975 | − | 3.02517i | 0.169732 | − | 0.0979949i | −0.412727 | − | 0.910855i | \(-0.635424\pi\) |
0.582459 | + | 0.812860i | \(0.302090\pi\) | |||||||
\(954\) | −17.7992 | + | 22.2173i | −0.576271 | + | 0.719312i | ||||
\(955\) | −5.94335 | −0.192322 | ||||||||
\(956\) | −30.2795 | −0.979311 | ||||||||
\(957\) | −48.5145 | − | 56.5026i | −1.56825 | − | 1.82647i | ||||
\(958\) | −16.4723 | + | 9.51026i | −0.532195 | + | 0.307263i | ||||
\(959\) | −4.40662 | + | 3.62689i | −0.142297 | + | 0.117119i | ||||
\(960\) | −1.07467 | + | 3.06024i | −0.0346848 | + | 0.0987687i | ||||
\(961\) | −18.0867 | − | 31.3271i | −0.583443 | − | 1.01055i | ||||
\(962\) | 10.5038 | + | 20.4513i | 0.338656 | + | 0.659377i | ||||
\(963\) | −18.2280 | − | 2.78918i | −0.587388 | − | 0.0898800i | ||||
\(964\) | 8.34511 | 0.268778 | ||||||||
\(965\) | 0.195983 | − | 0.339453i | 0.00630892 | − | 0.0109274i | ||||
\(966\) | −27.4003 | − | 4.77896i | −0.881591 | − | 0.153760i | ||||
\(967\) | − | 17.1921i | − | 0.552862i | −0.961034 | − | 0.276431i | \(-0.910848\pi\) | ||
0.961034 | − | 0.276431i | \(-0.0891518\pi\) | |||||||
\(968\) | 7.50436 | − | 12.9979i | 0.241199 | − | 0.417769i | ||||
\(969\) | 2.46674 | + | 13.1174i | 0.0792432 | + | 0.421392i | ||||
\(970\) | −18.9372 | − | 10.9334i | −0.608037 | − | 0.351050i | ||||
\(971\) | −20.6939 | + | 35.8429i | −0.664100 | + | 1.15025i | 0.315429 | + | 0.948949i | \(0.397852\pi\) |
−0.979529 | + | 0.201305i | \(0.935482\pi\) | |||||||
\(972\) | 14.3225 | − | 6.15363i | 0.459393 | − | 0.197378i | ||||
\(973\) | 7.70825 | − | 20.5688i | 0.247115 | − | 0.659405i | ||||
\(974\) | 22.4738i | 0.720107i | ||||||||
\(975\) | 5.72045 | + | 7.36543i | 0.183201 | + | 0.235882i | ||||
\(976\) | 5.11154 | + | 2.95115i | 0.163616 | + | 0.0944640i | ||||
\(977\) | −19.9713 | − | 34.5912i | −0.638937 | − | 1.10667i | −0.985666 | − | 0.168706i | \(-0.946041\pi\) |
0.346729 | − | 0.937965i | \(-0.387292\pi\) | |||||||
\(978\) | −33.7194 | + | 6.34096i | −1.07823 | + | 0.202761i | ||||
\(979\) | −65.2018 | + | 37.6443i | −2.08386 | + | 1.20312i | ||||
\(980\) | −4.24871 | − | 12.4006i | −0.135720 | − | 0.396122i | ||||
\(981\) | −23.6011 | + | 29.4594i | −0.753527 | + | 0.940565i | ||||
\(982\) | 25.7148 | + | 14.8464i | 0.820591 | + | 0.473768i | ||||
\(983\) | −3.96116 | − | 2.28698i | −0.126342 | − | 0.0729433i | 0.435497 | − | 0.900190i | \(-0.356573\pi\) |
−0.561839 | + | 0.827247i | \(0.689906\pi\) | |||||||
\(984\) | −9.54273 | + | 1.79452i | −0.304211 | + | 0.0572072i | ||||
\(985\) | 36.4034i | 1.15991i | ||||||||
\(986\) | −21.6278 | − | 12.4868i | −0.688768 | − | 0.397661i | ||||
\(987\) | 4.92426 | + | 13.4515i | 0.156741 | + | 0.428166i | ||||
\(988\) | 0.460662 | − | 9.36868i | 0.0146556 | − | 0.298057i | ||||
\(989\) | −51.2738 | + | 29.6030i | −1.63041 | + | 0.941319i | ||||
\(990\) | 17.9132 | − | 22.3596i | 0.569319 | − | 0.710633i | ||||
\(991\) | 9.02683 | + | 15.6349i | 0.286747 | + | 0.496660i | 0.973031 | − | 0.230673i | \(-0.0740929\pi\) |
−0.686285 | + | 0.727333i | \(0.740760\pi\) | |||||||
\(992\) | −4.09797 | + | 7.09789i | −0.130111 | + | 0.225358i | ||||
\(993\) | 12.2323 | − | 2.30030i | 0.388181 | − | 0.0729978i | ||||
\(994\) | −36.0685 | − | 13.5168i | −1.14402 | − | 0.428728i | ||||
\(995\) | −13.5333 | − | 23.4403i | −0.429033 | − | 0.743107i | ||||
\(996\) | −10.8704 | − | 12.6602i | −0.344441 | − | 0.401155i | ||||
\(997\) | − | 42.3940i | − | 1.34263i | −0.741171 | − | 0.671316i | \(-0.765729\pi\) | ||
0.741171 | − | 0.671316i | \(-0.234271\pi\) | |||||||
\(998\) | −6.50477 | + | 3.75553i | −0.205905 | + | 0.118879i | ||||
\(999\) | −28.1140 | + | 17.5338i | −0.889489 | + | 0.554745i |
(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 | 546.2.bi.e.17.4 | ✓ | 34 | |
3.2 | odd | 2 | 546.2.bi.f.17.3 | yes | 34 | ||
7.5 | odd | 6 | 546.2.bn.f.173.10 | yes | 34 | ||
13.10 | even | 6 | 546.2.bn.e.101.8 | yes | 34 | ||
21.5 | even | 6 | 546.2.bn.e.173.8 | yes | 34 | ||
39.23 | odd | 6 | 546.2.bn.f.101.10 | yes | 34 | ||
91.75 | odd | 6 | 546.2.bi.f.257.3 | yes | 34 | ||
273.257 | even | 6 | inner | 546.2.bi.e.257.4 | yes | 34 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.bi.e.17.4 | ✓ | 34 | 1.1 | even | 1 | trivial | |
546.2.bi.e.257.4 | yes | 34 | 273.257 | even | 6 | inner | |
546.2.bi.f.17.3 | yes | 34 | 3.2 | odd | 2 | ||
546.2.bi.f.257.3 | yes | 34 | 91.75 | odd | 6 | ||
546.2.bn.e.101.8 | yes | 34 | 13.10 | even | 6 | ||
546.2.bn.e.173.8 | yes | 34 | 21.5 | even | 6 | ||
546.2.bn.f.101.10 | yes | 34 | 39.23 | odd | 6 | ||
546.2.bn.f.173.10 | yes | 34 | 7.5 | odd | 6 |