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 | 257.3 | ||
Character | \(\chi\) | \(=\) | 546.257 |
Dual form | 546.2.bi.f.17.3 |
$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) |
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 | ||||||||
\(3\) | −1.63421 | − | 0.573890i | −0.943513 | − | 0.331336i | ||||
\(4\) | 1.00000 | 0.500000 | ||||||||
\(5\) | −1.62172 | − | 0.936303i | −0.725257 | − | 0.418728i | 0.0914273 | − | 0.995812i | \(-0.470857\pi\) |
−0.816685 | + | 0.577084i | \(0.804190\pi\) | |||||||
\(6\) | −1.63421 | − | 0.573890i | −0.667164 | − | 0.234290i | ||||
\(7\) | 2.04281 | + | 1.68135i | 0.772110 | + | 0.635489i | ||||
\(8\) | 1.00000 | 0.353553 | ||||||||
\(9\) | 2.34130 | + | 1.87572i | 0.780434 | + | 0.625239i | ||||
\(10\) | −1.62172 | − | 0.936303i | −0.512834 | − | 0.296085i | ||||
\(11\) | 2.54994 | − | 4.41662i | 0.768835 | − | 1.33166i | −0.169360 | − | 0.985554i | \(-0.554170\pi\) |
0.938195 | − | 0.346107i | \(-0.112497\pi\) | |||||||
\(12\) | −1.63421 | − | 0.573890i | −0.471756 | − | 0.165668i | ||||
\(13\) | −3.20727 | − | 1.64725i | −0.889536 | − | 0.456865i | ||||
\(14\) | 2.04281 | + | 1.68135i | 0.545964 | + | 0.449359i | ||||
\(15\) | 2.11291 | + | 2.46081i | 0.545550 | + | 0.635378i | ||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | 2.96212 | 0.718421 | 0.359210 | − | 0.933257i | \(-0.383046\pi\) | ||||
0.359210 | + | 0.933257i | \(0.383046\pi\) | |||||||
\(18\) | 2.34130 | + | 1.87572i | 0.551850 | + | 0.442111i | ||||
\(19\) | −1.30077 | − | 2.25300i | −0.298417 | − | 0.516874i | 0.677357 | − | 0.735655i | \(-0.263125\pi\) |
−0.975774 | + | 0.218781i | \(0.929792\pi\) | |||||||
\(20\) | −1.62172 | − | 0.936303i | −0.362629 | − | 0.209364i | ||||
\(21\) | −2.37348 | − | 3.92003i | −0.517935 | − | 0.855420i | ||||
\(22\) | 2.54994 | − | 4.41662i | 0.543648 | − | 0.941627i | ||||
\(23\) | − | 6.06950i | − | 1.26558i | −0.774324 | − | 0.632789i | \(-0.781910\pi\) | ||
0.774324 | − | 0.632789i | \(-0.218090\pi\) | |||||||
\(24\) | −1.63421 | − | 0.573890i | −0.333582 | − | 0.117145i | ||||
\(25\) | −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 | \(-0.380459\pi\) |
0.989060 | + | 0.147511i | \(0.0471261\pi\) | |||||||
\(30\) | 2.11291 | + | 2.46081i | 0.385762 | + | 0.449280i | ||||
\(31\) | 4.09797 | + | 7.09789i | 0.736017 | + | 1.27482i | 0.954276 | + | 0.298928i | \(0.0966291\pi\) |
−0.218258 | + | 0.975891i | \(0.570038\pi\) | |||||||
\(32\) | 1.00000 | 0.176777 | ||||||||
\(33\) | −6.70179 | + | 5.75431i | −1.16663 | + | 1.00170i | ||||
\(34\) | 2.96212 | 0.508000 | ||||||||
\(35\) | −1.73863 | − | 4.63937i | −0.293881 | − | 0.784197i | ||||
\(36\) | 2.34130 | + | 1.87572i | 0.390217 | + | 0.312619i | ||||
\(37\) | − | 6.37656i | − | 1.04830i | −0.851626 | − | 0.524150i | \(-0.824383\pi\) | ||
0.851626 | − | 0.524150i | \(-0.175617\pi\) | |||||||
\(38\) | −1.30077 | − | 2.25300i | −0.211013 | − | 0.365485i | ||||
\(39\) | 4.29602 | + | 4.53258i | 0.687913 | + | 0.725793i | ||||
\(40\) | −1.62172 | − | 0.936303i | −0.256417 | − | 0.148043i | ||||
\(41\) | 4.85500 | − | 2.80304i | 0.758223 | − | 0.437761i | −0.0704341 | − | 0.997516i | \(-0.522438\pi\) |
0.828658 | + | 0.559756i | \(0.189105\pi\) | |||||||
\(42\) | −2.37348 | − | 3.92003i | −0.366236 | − | 0.604873i | ||||
\(43\) | −4.87733 | + | 8.44778i | −0.743786 | + | 1.28827i | 0.206974 | + | 0.978346i | \(0.433638\pi\) |
−0.950760 | + | 0.309928i | \(0.899695\pi\) | |||||||
\(44\) | 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 | \(-0.406544\pi\) |
−0.684267 | + | 0.729232i | \(0.739878\pi\) | |||||||
\(48\) | −1.63421 | − | 0.573890i | −0.235878 | − | 0.0828339i | ||||
\(49\) | 1.34615 | + | 6.86934i | 0.192307 | + | 0.981335i | ||||
\(50\) | −0.746672 | − | 1.29327i | −0.105595 | − | 0.182897i | ||||
\(51\) | −4.84074 | − | 1.69993i | −0.677839 | − | 0.238038i | ||||
\(52\) | −3.20727 | − | 1.64725i | −0.444768 | − | 0.228433i | ||||
\(53\) | −8.21797 | + | 4.74465i | −1.12883 | + | 0.651728i | −0.943639 | − | 0.330976i | \(-0.892622\pi\) |
−0.185186 | + | 0.982703i | \(0.559289\pi\) | |||||||
\(54\) | −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 | \(-0.0458009\pi\) | |||||||
\(60\) | 2.11291 | + | 2.46081i | 0.272775 | + | 0.317689i | ||||
\(61\) | 5.11154 | − | 2.95115i | 0.654466 | − | 0.377856i | −0.135699 | − | 0.990750i | \(-0.543328\pi\) |
0.790165 | + | 0.612894i | \(0.209995\pi\) | |||||||
\(62\) | 4.09797 | + | 7.09789i | 0.520443 | + | 0.901433i | ||||
\(63\) | 1.62910 | + | 7.76827i | 0.205248 | + | 0.978710i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 3.65898 | + | 5.67436i | 0.453840 | + | 0.703818i | ||||
\(66\) | −6.70179 | + | 5.75431i | −0.824934 | + | 0.708307i | ||||
\(67\) | 9.56582 | + | 5.52283i | 1.16865 | + | 0.674721i | 0.953362 | − | 0.301830i | \(-0.0975975\pi\) |
0.215289 | + | 0.976550i | \(0.430931\pi\) | |||||||
\(68\) | 2.96212 | 0.359210 | ||||||||
\(69\) | −3.48323 | + | 9.91886i | −0.419331 | + | 1.19409i | ||||
\(70\) | −1.73863 | − | 4.63937i | −0.207806 | − | 0.554511i | ||||
\(71\) | −7.27923 | + | 12.6080i | −0.863886 | + | 1.49629i | 0.00426326 | + | 0.999991i | \(0.498643\pi\) |
−0.868149 | + | 0.496303i | \(0.834690\pi\) | |||||||
\(72\) | 2.34130 | + | 1.87572i | 0.275925 | + | 0.221055i | ||||
\(73\) | 1.99779 | + | 3.46027i | 0.233823 | + | 0.404994i | 0.958930 | − | 0.283643i | \(-0.0915429\pi\) |
−0.725107 | + | 0.688636i | \(0.758210\pi\) | |||||||
\(74\) | − | 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 | ||||
\(78\) | 4.29602 | + | 4.53258i | 0.486428 | + | 0.513213i | ||||
\(79\) | −5.14630 | + | 8.91365i | −0.579004 | + | 1.00286i | 0.416590 | + | 0.909094i | \(0.363225\pi\) |
−0.995594 | + | 0.0937696i | \(0.970108\pi\) | |||||||
\(80\) | −1.62172 | − | 0.936303i | −0.181314 | − | 0.104682i | ||||
\(81\) | 1.96338 | + | 8.78323i | 0.218153 | + | 0.975915i | ||||
\(82\) | 4.85500 | − | 2.80304i | 0.536145 | − | 0.309543i | ||||
\(83\) | 9.63409i | 1.05748i | 0.848784 | + | 0.528739i | \(0.177335\pi\) | ||||
−0.848784 | + | 0.528739i | \(0.822665\pi\) | |||||||
\(84\) | −2.37348 | − | 3.92003i | −0.258968 | − | 0.427710i | ||||
\(85\) | −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 | ||||||||
\(96\) | −1.63421 | − | 0.573890i | −0.166791 | − | 0.0585724i | ||||
\(97\) | 5.83860 | − | 10.1127i | 0.592820 | − | 1.02679i | −0.401031 | − | 0.916065i | \(-0.631348\pi\) |
0.993851 | − | 0.110729i | \(-0.0353187\pi\) | |||||||
\(98\) | 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 | \(-0.934822\pi\) |
0.665647 | + | 0.746267i | \(0.268156\pi\) | |||||||
\(102\) | −4.84074 | − | 1.69993i | −0.479305 | − | 0.168318i | ||||
\(103\) | 4.99182 | + | 2.88203i | 0.491859 | + | 0.283975i | 0.725345 | − | 0.688385i | \(-0.241680\pi\) |
−0.233486 | + | 0.972360i | \(0.575013\pi\) | |||||||
\(104\) | −3.20727 | − | 1.64725i | −0.314498 | − | 0.161526i | ||||
\(105\) | 0.178796 | + | 8.57950i | 0.0174487 | + | 0.837273i | ||||
\(106\) | −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 | −0.920884 | − | 0.389836i | \(-0.872532\pi\) |
−0.122834 | + | 0.992427i | \(0.539198\pi\) | |||||||
\(110\) | −8.27059 | + | 4.77503i | −0.788570 | + | 0.455281i | ||||
\(111\) | −3.65944 | + | 10.4207i | −0.347339 | + | 0.989084i | ||||
\(112\) | 2.04281 | + | 1.68135i | 0.193027 | + | 0.158872i | ||||
\(113\) | 1.92741 | + | 1.11279i | 0.181316 | + | 0.104683i | 0.587911 | − | 0.808926i | \(-0.299951\pi\) |
−0.406595 | + | 0.913609i | \(0.633284\pi\) | |||||||
\(114\) | 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 | ||||
\(117\) | −4.41940 | − | 9.87263i | −0.408574 | − | 0.912725i | ||||
\(118\) | − | 2.20283i | − | 0.202787i | ||||||
\(119\) | 6.05106 | + | 4.98036i | 0.554700 | + | 0.456549i | ||||
\(120\) | 2.11291 | + | 2.46081i | 0.192881 | + | 0.224640i | ||||
\(121\) | −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 | ||||||||
\(126\) | 1.62910 | + | 7.76827i | 0.145132 | + | 0.692052i | ||||
\(127\) | −3.67232 | − | 6.36064i | −0.325866 | − | 0.564416i | 0.655822 | − | 0.754916i | \(-0.272322\pi\) |
−0.981687 | + | 0.190500i | \(0.938989\pi\) | |||||||
\(128\) | 1.00000 | 0.0883883 | ||||||||
\(129\) | 12.8187 | − | 11.0064i | 1.12862 | − | 0.969061i | ||||
\(130\) | 3.65898 | + | 5.67436i | 0.320914 | + | 0.497675i | ||||
\(131\) | −0.465541 | + | 0.806340i | −0.0406745 | + | 0.0704503i | −0.885646 | − | 0.464361i | \(-0.846284\pi\) |
0.844971 | + | 0.534811i | \(0.179617\pi\) | |||||||
\(132\) | −6.70179 | + | 5.75431i | −0.583316 | + | 0.500849i | ||||
\(133\) | 1.13085 | − | 6.78950i | 0.0980569 | − | 0.588725i | ||||
\(134\) | 9.56582 | + | 5.52283i | 0.826361 | + | 0.477100i | ||||
\(135\) | 0.331171 | + | 9.72471i | 0.0285027 | + | 0.836970i | ||||
\(136\) | 2.96212 | 0.254000 | ||||||||
\(137\) | 2.15714 | 0.184297 | 0.0921483 | − | 0.995745i | \(-0.470627\pi\) | ||||
0.0921483 | + | 0.995745i | \(0.470627\pi\) | |||||||
\(138\) | −3.48323 | + | 9.91886i | −0.296512 | + | 0.844349i | ||||
\(139\) | 7.18997 | + | 4.15113i | 0.609845 | + | 0.352094i | 0.772905 | − | 0.634522i | \(-0.218803\pi\) |
−0.163060 | + | 0.986616i | \(0.552136\pi\) | |||||||
\(140\) | −1.73863 | − | 4.63937i | −0.146941 | − | 0.392098i | ||||
\(141\) | 3.52699 | + | 4.10772i | 0.297026 | + | 0.345933i | ||||
\(142\) | −7.27923 | + | 12.6080i | −0.610860 | + | 1.05804i | ||||
\(143\) | −15.4536 | + | 9.96490i | −1.29230 | + | 0.833307i | ||||
\(144\) | 2.34130 | + | 1.87572i | 0.195108 | + | 0.156310i | ||||
\(145\) | −15.7879 | −1.31111 | ||||||||
\(146\) | 1.99779 | + | 3.46027i | 0.165338 | + | 0.286374i | ||||
\(147\) | 1.74235 | − | 11.9985i | 0.143707 | − | 0.989620i | ||||
\(148\) | − | 6.37656i | − | 0.524150i | ||||||
\(149\) | −1.97912 | − | 3.42793i | −0.162136 | − | 0.280827i | 0.773499 | − | 0.633798i | \(-0.218505\pi\) |
−0.935634 | + | 0.352971i | \(0.885172\pi\) | |||||||
\(150\) | 0.478024 | + | 2.54199i | 0.0390305 | + | 0.207553i | ||||
\(151\) | 4.82241 | − | 2.78422i | 0.392442 | − | 0.226576i | −0.290776 | − | 0.956791i | \(-0.593913\pi\) |
0.683218 | + | 0.730215i | \(0.260580\pi\) | |||||||
\(152\) | −1.30077 | − | 2.25300i | −0.105506 | − | 0.182743i | ||||
\(153\) | 6.93522 | + | 5.55610i | 0.560680 | + | 0.449184i | ||||
\(154\) | 12.6349 | − | 4.73499i | 1.01815 | − | 0.381556i | ||||
\(155\) | − | 15.3478i | − | 1.23276i | ||||||
\(156\) | 4.29602 | + | 4.53258i | 0.343957 | + | 0.362897i | ||||
\(157\) | 6.31098 | − | 3.64365i | 0.503671 | − | 0.290795i | −0.226557 | − | 0.973998i | \(-0.572747\pi\) |
0.730228 | + | 0.683203i | \(0.239414\pi\) | |||||||
\(158\) | −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 | ||||
\(162\) | 1.96338 | + | 8.78323i | 0.154257 | + | 0.690076i | ||||
\(163\) | −17.1552 | + | 9.90456i | −1.34370 | + | 0.775785i | −0.987348 | − | 0.158567i | \(-0.949313\pi\) |
−0.356351 | + | 0.934352i | \(0.615979\pi\) | |||||||
\(164\) | 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 | \(-0.865485\pi\) |
−0.100834 | + | 0.994903i | \(0.532151\pi\) | |||||||
\(168\) | −2.37348 | − | 3.92003i | −0.183118 | − | 0.302437i | ||||
\(169\) | 7.57313 | + | 10.5663i | 0.582548 | + | 0.812796i | ||||
\(170\) | −4.80375 | − | 2.77345i | −0.368431 | − | 0.212714i | ||||
\(171\) | 1.18050 | − | 7.71483i | 0.0902748 | − | 0.589968i | ||||
\(172\) | −4.87733 | + | 8.44778i | −0.371893 | + | 0.644137i | ||||
\(173\) | −9.62713 | − | 16.6747i | −0.731937 | − | 1.26775i | −0.956054 | − | 0.293190i | \(-0.905283\pi\) |
0.224117 | − | 0.974562i | \(-0.428050\pi\) | |||||||
\(174\) | −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 | ||||
\(177\) | −1.26418 | + | 3.59989i | −0.0950217 | + | 0.270584i | ||||
\(178\) | − | 14.7628i | − | 1.10652i | ||||||
\(179\) | 4.65318 | + | 2.68651i | 0.347795 | + | 0.200800i | 0.663714 | − | 0.747987i | \(-0.268979\pi\) |
−0.315919 | + | 0.948786i | \(0.602313\pi\) | |||||||
\(180\) | −2.04071 | − | 5.23406i | −0.152105 | − | 0.390124i | ||||
\(181\) | − | 11.3131i | − | 0.840893i | −0.907317 | − | 0.420446i | \(-0.861874\pi\) | ||
0.907317 | − | 0.420446i | \(-0.138126\pi\) | |||||||
\(182\) | −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 | ||||
\(189\) | 1.79583 | − | 13.6299i | 0.130627 | − | 0.991432i | ||||
\(190\) | 4.87167i | 0.353428i | ||||||||
\(191\) | 2.74863 | − | 1.58692i | 0.198884 | − | 0.114826i | −0.397251 | − | 0.917710i | \(-0.630036\pi\) |
0.596135 | + | 0.802884i | \(0.296702\pi\) | |||||||
\(192\) | −1.63421 | − | 0.573890i | −0.117939 | − | 0.0414169i | ||||
\(193\) | 0.181273 | + | 0.104658i | 0.0130483 | + | 0.00753344i | 0.506510 | − | 0.862234i | \(-0.330935\pi\) |
−0.493462 | + | 0.869768i | \(0.664269\pi\) | |||||||
\(194\) | 5.83860 | − | 10.1127i | 0.419187 | − | 0.726053i | ||||
\(195\) | −2.72309 | − | 11.3730i | −0.195004 | − | 0.814435i | ||||
\(196\) | 1.34615 | + | 6.86934i | 0.0961535 | + | 0.490667i | ||||
\(197\) | 9.71998 | + | 16.8355i | 0.692520 | + | 1.19948i | 0.971010 | + | 0.239040i | \(0.0768328\pi\) |
−0.278490 | + | 0.960439i | \(0.589834\pi\) | |||||||
\(198\) | 14.2545 | − | 5.55768i | 1.01302 | − | 0.394967i | ||||
\(199\) | 14.4539i | 1.02461i | 0.858803 | + | 0.512306i | \(0.171209\pi\) | ||||
−0.858803 | + | 0.512306i | \(0.828791\pi\) | |||||||
\(200\) | −0.746672 | − | 1.29327i | −0.0527977 | − | 0.0914483i | ||||
\(201\) | −12.4631 | − | 14.5152i | −0.879078 | − | 1.02382i | ||||
\(202\) | −3.15026 | + | 5.45640i | −0.221651 | + | 0.383911i | ||||
\(203\) | 22.0031 | + | 3.66480i | 1.54432 | + | 0.257219i | ||||
\(204\) | −4.84074 | − | 1.69993i | −0.338920 | − | 0.119019i | ||||
\(205\) | −10.4980 | −0.733210 | ||||||||
\(206\) | 4.99182 | + | 2.88203i | 0.347797 | + | 0.200801i | ||||
\(207\) | 11.3847 | − | 14.2105i | 0.791289 | − | 0.987700i | ||||
\(208\) | −3.20727 | − | 1.64725i | −0.222384 | − | 0.114216i | ||||
\(209\) | −13.2675 | −0.917735 | ||||||||
\(210\) | 0.178796 | + | 8.57950i | 0.0123381 | + | 0.592042i | ||||
\(211\) | 5.78954 | + | 10.0278i | 0.398568 | + | 0.690341i | 0.993550 | − | 0.113399i | \(-0.0361738\pi\) |
−0.594981 | + | 0.803740i | \(0.702840\pi\) | |||||||
\(212\) | −8.21797 | + | 4.74465i | −0.564413 | + | 0.325864i | ||||
\(213\) | 19.1314 | − | 16.4267i | 1.31086 | − | 1.12554i | ||||
\(214\) | − | 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 | ||||
\(222\) | −3.65944 | + | 10.4207i | −0.245606 | + | 0.699388i | ||||
\(223\) | −3.33759 | − | 5.78088i | −0.223502 | − | 0.387116i | 0.732367 | − | 0.680910i | \(-0.238416\pi\) |
−0.955869 | + | 0.293794i | \(0.905082\pi\) | |||||||
\(224\) | 2.04281 | + | 1.68135i | 0.136491 | + | 0.112340i | ||||
\(225\) | 0.677631 | − | 4.42849i | 0.0451754 | − | 0.295233i | ||||
\(226\) | 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 | −0.869328 | − | 0.494235i | \(-0.835448\pi\) |
0.862684 | + | 0.505743i | \(0.168782\pi\) | |||||||
\(230\) | −5.68289 | + | 9.84306i | −0.374719 | + | 0.649032i | ||||
\(231\) | −23.3655 | + | 0.486935i | −1.53734 | + | 0.0320380i | ||||
\(232\) | 7.30144 | − | 4.21549i | 0.479363 | − | 0.276760i | ||||
\(233\) | −11.1073 | − | 6.41280i | −0.727663 | − | 0.420116i | 0.0899037 | − | 0.995950i | \(-0.471344\pi\) |
−0.817567 | + | 0.575834i | \(0.804677\pi\) | |||||||
\(234\) | −4.41940 | − | 9.87263i | −0.288905 | − | 0.645394i | ||||
\(235\) | 2.92675 | + | 5.06929i | 0.190920 | + | 0.330684i | ||||
\(236\) | − | 2.20283i | − | 0.143392i | ||||||
\(237\) | 13.5256 | − | 11.6134i | 0.878582 | − | 0.754371i | ||||
\(238\) | 6.05106 | + | 4.98036i | 0.392232 | + | 0.322829i | ||||
\(239\) | 30.2795 | 1.95862 | 0.979311 | − | 0.202363i | \(-0.0648621\pi\) | ||||
0.979311 | + | 0.202363i | \(0.0648621\pi\) | |||||||
\(240\) | 2.11291 | + | 2.46081i | 0.136388 | + | 0.158845i | ||||
\(241\) | 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 | ||||
\(243\) | 1.83203 | − | 15.4804i | 0.117525 | − | 0.993070i | ||||
\(244\) | 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 | ||||
\(249\) | 5.52891 | − | 15.7441i | 0.350380 | − | 0.997745i | ||||
\(250\) | 12.1595i | 0.769033i | ||||||||
\(251\) | 0.325183 | − | 0.563233i | 0.0205253 | − | 0.0355509i | −0.855580 | − | 0.517670i | \(-0.826799\pi\) |
0.876106 | + | 0.482119i | \(0.160133\pi\) | |||||||
\(252\) | 1.62910 | + | 7.76827i | 0.102624 | + | 0.489355i | ||||
\(253\) | −26.8067 | − | 15.4768i | −1.68532 | − | 0.973021i | ||||
\(254\) | −3.67232 | − | 6.36064i | −0.230422 | − | 0.399102i | ||||
\(255\) | 6.25870 | + | 7.28922i | 0.391935 | + | 0.456469i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | −7.41850 | −0.462753 | −0.231377 | − | 0.972864i | \(-0.574323\pi\) | ||||
−0.231377 | + | 0.972864i | \(0.574323\pi\) | |||||||
\(258\) | 12.8187 | − | 11.0064i | 0.798057 | − | 0.685230i | ||||
\(259\) | 10.7212 | − | 13.0261i | 0.666183 | − | 0.809403i | ||||
\(260\) | 3.65898 | + | 5.67436i | 0.226920 | + | 0.351909i | ||||
\(261\) | 25.0019 | + | 3.82570i | 1.54758 | + | 0.236805i | ||||
\(262\) | −0.465541 | + | 0.806340i | −0.0287612 | + | 0.0498159i | ||||
\(263\) | −17.3650 | − | 10.0257i | −1.07077 | − | 0.618209i | −0.142378 | − | 0.989812i | \(-0.545475\pi\) |
−0.928392 | + | 0.371603i | \(0.878808\pi\) | |||||||
\(264\) | −6.70179 | + | 5.75431i | −0.412467 | + | 0.354153i | ||||
\(265\) | 17.7697 | 1.09159 | ||||||||
\(266\) | 1.13085 | − | 6.78950i | 0.0693367 | − | 0.416291i | ||||
\(267\) | −8.47223 | + | 24.1256i | −0.518492 | + | 1.47646i | ||||
\(268\) | 9.56582 | + | 5.52283i | 0.584325 | + | 0.337360i | ||||
\(269\) | 12.4850 | 0.761225 | 0.380612 | − | 0.924735i | \(-0.375713\pi\) | ||||
0.380612 | + | 0.924735i | \(0.375713\pi\) | |||||||
\(270\) | 0.331171 | + | 9.72471i | 0.0201544 | + | 0.591827i | ||||
\(271\) | −2.87931 | −0.174906 | −0.0874530 | − | 0.996169i | \(-0.527873\pi\) | ||||
−0.0874530 | + | 0.996169i | \(0.527873\pi\) | |||||||
\(272\) | 2.96212 | 0.179605 | ||||||||
\(273\) | 1.15511 | + | 16.4823i | 0.0699107 | + | 0.997553i | ||||
\(274\) | 2.15714 | 0.130317 | ||||||||
\(275\) | −7.61587 | −0.459254 | ||||||||
\(276\) | −3.48323 | + | 9.91886i | −0.209666 | + | 0.597045i | ||||
\(277\) | 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 | ||||
\(279\) | −3.71905 | + | 24.3049i | −0.222654 | + | 1.45510i | ||||
\(280\) | −1.73863 | − | 4.63937i | −0.103903 | − | 0.277255i | ||||
\(281\) | −6.16209 | −0.367599 | −0.183800 | − | 0.982964i | \(-0.558840\pi\) | ||||
−0.183800 | + | 0.982964i | \(0.558840\pi\) | |||||||
\(282\) | 3.52699 | + | 4.10772i | 0.210029 | + | 0.244611i | ||||
\(283\) | −11.9016 | − | 6.87141i | −0.707478 | − | 0.408463i | 0.102648 | − | 0.994718i | \(-0.467268\pi\) |
−0.810127 | + | 0.586255i | \(0.800602\pi\) | |||||||
\(284\) | −7.27923 | + | 12.6080i | −0.431943 | + | 0.748147i | ||||
\(285\) | 2.79580 | − | 7.96134i | 0.165609 | − | 0.471589i | ||||
\(286\) | −15.4536 | + | 9.96490i | −0.913791 | + | 0.589237i | ||||
\(287\) | 14.6307 | + | 2.43687i | 0.863624 | + | 0.143844i | ||||
\(288\) | 2.34130 | + | 1.87572i | 0.137962 | + | 0.110528i | ||||
\(289\) | −8.22582 | −0.483872 | ||||||||
\(290\) | −15.7879 | −0.927097 | ||||||||
\(291\) | −15.3451 | + | 13.1757i | −0.899546 | + | 0.772371i | ||||
\(292\) | 1.99779 | + | 3.46027i | 0.116912 | + | 0.202497i | ||||
\(293\) | −4.43117 | − | 2.55834i | −0.258872 | − | 0.149460i | 0.364948 | − | 0.931028i | \(-0.381087\pi\) |
−0.623820 | + | 0.781568i | \(0.714420\pi\) | |||||||
\(294\) | 1.74235 | − | 11.9985i | 0.101616 | − | 0.699767i | ||||
\(295\) | −2.06252 | + | 3.57238i | −0.120084 | + | 0.207992i | ||||
\(296\) | − | 6.37656i | − | 0.370630i | ||||||
\(297\) | −26.4844 | + | 0.901915i | −1.53678 | + | 0.0523344i | ||||
\(298\) | −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 | ||||
\(303\) | 8.27956 | − | 7.10902i | 0.475648 | − | 0.408403i | ||||
\(304\) | −1.30077 | − | 2.25300i | −0.0746044 | − | 0.129219i | ||||
\(305\) | −11.0527 | −0.632875 | ||||||||
\(306\) | 6.93522 | + | 5.55610i | 0.396460 | + | 0.317621i | ||||
\(307\) | 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 | ||||
\(309\) | −6.50373 | − | 7.57461i | −0.369984 | − | 0.430904i | ||||
\(310\) | − | 15.3478i | − | 0.871695i | ||||||
\(311\) | −5.59744 | − | 9.69505i | −0.317402 | − | 0.549756i | 0.662543 | − | 0.749023i | \(-0.269477\pi\) |
−0.979945 | + | 0.199268i | \(0.936144\pi\) | |||||||
\(312\) | 4.29602 | + | 4.53258i | 0.243214 | + | 0.256607i | ||||
\(313\) | 28.1564 | + | 16.2561i | 1.59150 | + | 0.918850i | 0.993051 | + | 0.117686i | \(0.0375475\pi\) |
0.598444 | + | 0.801165i | \(0.295786\pi\) | |||||||
\(314\) | 6.31098 | − | 3.64365i | 0.356149 | − | 0.205623i | ||||
\(315\) | 4.63150 | − | 14.1233i | 0.260955 | − | 0.795760i | ||||
\(316\) | −5.14630 | + | 8.91365i | −0.289502 | + | 0.501432i | ||||
\(317\) | −12.7161 | + | 22.0249i | −0.714206 | + | 1.23704i | 0.249058 | + | 0.968488i | \(0.419879\pi\) |
−0.963265 | + | 0.268553i | \(0.913454\pi\) | |||||||
\(318\) | 16.1528 | − | 3.03755i | 0.905805 | − | 0.170337i | ||||
\(319\) | − | 42.9969i | − | 2.40736i | ||||||
\(320\) | −1.62172 | − | 0.936303i | −0.0906572 | − | 0.0523409i | ||||
\(321\) | −3.52754 | + | 10.0450i | −0.196888 | + | 0.560659i | ||||
\(322\) | 10.2049 | − | 12.3988i | 0.568699 | − | 0.690960i | ||||
\(323\) | −3.85305 | − | 6.67367i | −0.214389 | − | 0.371333i | ||||
\(324\) | 1.96338 | + | 8.78323i | 0.109077 | + | 0.487957i | ||||
\(325\) | 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 | −0.661186 | − | 0.750222i | \(-0.729947\pi\) |
0.319119 | + | 0.947715i | \(0.396613\pi\) | |||||||
\(332\) | 9.63409i | 0.528739i | ||||||||
\(333\) | 11.9606 | − | 14.9294i | 0.655438 | − | 0.818128i | ||||
\(334\) | −13.0891 | + | 7.55698i | −0.716202 | + | 0.413500i | ||||
\(335\) | −10.3421 | − | 17.9130i | −0.565048 | − | 0.978692i | ||||
\(336\) | −2.37348 | − | 3.92003i | −0.129484 | − | 0.213855i | ||||
\(337\) | 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 | ||||
\(339\) | −2.51118 | − | 2.92466i | −0.136389 | − | 0.158846i | ||||
\(340\) | −4.80375 | − | 2.77345i | −0.260520 | − | 0.150411i | ||||
\(341\) | 41.7983 | 2.26350 | ||||||||
\(342\) | 1.18050 | − | 7.71483i | 0.0638339 | − | 0.417170i | ||||
\(343\) | −8.79982 | + | 16.2961i | −0.475146 | + | 0.879907i | ||||
\(344\) | −4.87733 | + | 8.44778i | −0.262968 | + | 0.455474i | ||||
\(345\) | 14.9359 | − | 12.8243i | 0.804121 | − | 0.690437i | ||||
\(346\) | −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 | 0.991610 | − | 0.129267i | \(-0.0412623\pi\) |
−0.607753 | + | 0.794126i | \(0.707929\pi\) | |||||||
\(350\) | 0.649132 | − | 3.89733i | 0.0346976 | − | 0.208321i | ||||
\(351\) | 1.55644 | + | 18.6702i | 0.0830764 | + | 0.996543i | ||||
\(352\) | 2.54994 | − | 4.41662i | 0.135912 | − | 0.235407i | ||||
\(353\) | 22.0306 | + | 12.7194i | 1.17257 | + | 0.676985i | 0.954285 | − | 0.298900i | \(-0.0966196\pi\) |
0.218288 | + | 0.975884i | \(0.429953\pi\) | |||||||
\(354\) | −1.26418 | + | 3.59989i | −0.0671905 | + | 0.191332i | ||||
\(355\) | 23.6098 | − | 13.6311i | 1.25308 | − | 0.723466i | ||||
\(356\) | − | 14.7628i | − | 0.782428i | ||||||
\(357\) | −7.03054 | − | 11.6116i | −0.372096 | − | 0.614551i | ||||
\(358\) | 4.65318 | + | 2.68651i | 0.245928 | + | 0.141987i | ||||
\(359\) | 4.87490 | − | 8.44358i | 0.257288 | − | 0.445635i | −0.708227 | − | 0.705985i | \(-0.750505\pi\) |
0.965514 | + | 0.260350i | \(0.0838379\pi\) | |||||||
\(360\) | −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 | 0.133875 | − | 0.990998i | \(-0.457258\pi\) |
−0.791292 | + | 0.611438i | \(0.790591\pi\) | |||||||
\(368\) | − | 6.06950i | − | 0.316395i | ||||||
\(369\) | 16.6247 | + | 2.54385i | 0.865448 | + | 0.132428i | ||||
\(370\) | −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 | 0.987300 | − | 0.158868i | \(-0.0507843\pi\) |
−0.631233 | + | 0.775593i | \(0.717451\pi\) | |||||||
\(374\) | 7.55323 | − | 13.0826i | 0.390568 | − | 0.676484i | ||||
\(375\) | 6.97820 | − | 19.8712i | 0.360353 | − | 1.02614i | ||||
\(376\) | −2.70708 | − | 1.56293i | −0.139607 | − | 0.0806020i | ||||
\(377\) | −30.3616 | + | 1.49289i | −1.56370 | + | 0.0768879i | ||||
\(378\) | 1.79583 | − | 13.6299i | 0.0923675 | − | 0.701048i | ||||
\(379\) | 25.1138 | − | 14.4995i | 1.29001 | − | 0.744788i | 0.311355 | − | 0.950294i | \(-0.399217\pi\) |
0.978656 | + | 0.205505i | \(0.0658838\pi\) | |||||||
\(380\) | 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 | \(-0.712356\pi\) |
0.370977 | + | 0.928642i | \(0.379023\pi\) | |||||||
\(384\) | −1.63421 | − | 0.573890i | −0.0833956 | − | 0.0292862i | ||||
\(385\) | −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 | \(-0.706935\pi\) |
0.386737 | + | 0.922190i | \(0.373602\pi\) | |||||||
\(390\) | −2.72309 | − | 11.3730i | −0.137889 | − | 0.575892i | ||||
\(391\) | − | 17.9786i | − | 0.909218i | ||||||
\(392\) | 1.34615 | + | 6.86934i | 0.0679908 | + | 0.346954i | ||||
\(393\) | 1.22354 | − | 1.05056i | 0.0617196 | − | 0.0529938i | ||||
\(394\) | 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 | 0.994607 | − | 0.103711i | \(-0.0330718\pi\) |
−0.587120 | + | 0.809500i | \(0.699738\pi\) | |||||||
\(398\) | 14.4539i | 0.724510i | ||||||||
\(399\) | −5.74447 | + | 10.4465i | −0.287583 | + | 0.522980i | ||||
\(400\) | −0.746672 | − | 1.29327i | −0.0373336 | − | 0.0646637i | ||||
\(401\) | −6.92045 | −0.345591 | −0.172795 | − | 0.984958i | \(-0.555280\pi\) | ||||
−0.172795 | + | 0.984958i | \(0.555280\pi\) | |||||||
\(402\) | −12.4631 | − | 14.5152i | −0.621602 | − | 0.723952i | ||||
\(403\) | −1.45128 | − | 29.5152i | −0.0722932 | − | 1.47026i | ||||
\(404\) | −3.15026 | + | 5.45640i | −0.156731 | + | 0.271466i | ||||
\(405\) | 5.03971 | − | 16.0823i | 0.250425 | − | 0.799136i | ||||
\(406\) | 22.0031 | + | 3.66480i | 1.09200 | + | 0.181881i | ||||
\(407\) | −28.1628 | − | 16.2598i | −1.39598 | − | 0.805970i | ||||
\(408\) | −4.84074 | − | 1.69993i | −0.239652 | − | 0.0841592i | ||||
\(409\) | 11.3829 | 0.562849 | 0.281425 | − | 0.959583i | \(-0.409193\pi\) | ||||
0.281425 | + | 0.959583i | \(0.409193\pi\) | |||||||
\(410\) | −10.4980 | −0.518457 | ||||||||
\(411\) | −3.52522 | − | 1.23796i | −0.173886 | − | 0.0610640i | ||||
\(412\) | 4.99182 | + | 2.88203i | 0.245930 | + | 0.141987i | ||||
\(413\) | 3.70372 | − | 4.49996i | 0.182248 | − | 0.221429i | ||||
\(414\) | 11.3847 | − | 14.2105i | 0.559526 | − | 0.698409i | ||||
\(415\) | 9.02043 | − | 15.6238i | 0.442795 | − | 0.766944i | ||||
\(416\) | −3.20727 | − | 1.64725i | −0.157249 | − | 0.0807631i | ||||
\(417\) | −9.36764 | − | 10.9101i | −0.458735 | − | 0.534269i | ||||
\(418\) | −13.2675 | −0.648937 | ||||||||
\(419\) | 4.51941 | + | 7.82784i | 0.220788 | + | 0.382415i | 0.955047 | − | 0.296453i | \(-0.0958039\pi\) |
−0.734260 | + | 0.678869i | \(0.762471\pi\) | |||||||
\(420\) | 0.178796 | + | 8.57950i | 0.00872436 | + | 0.418637i | ||||
\(421\) | − | 3.07453i | − | 0.149844i | −0.997189 | − | 0.0749218i | \(-0.976129\pi\) | ||
0.997189 | − | 0.0749218i | \(-0.0238707\pi\) | |||||||
\(422\) | 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 | ||||
\(426\) | 19.1314 | − | 16.4267i | 0.926920 | − | 0.795875i | ||||
\(427\) | 15.4038 | + | 2.56563i | 0.745443 | + | 0.124160i | ||||
\(428\) | − | 6.14671i | − | 0.297113i | ||||||
\(429\) | 30.9732 | − | 7.41609i | 1.49540 | − | 0.358052i | ||||
\(430\) | 15.8194 | − | 9.13332i | 0.762878 | − | 0.440448i | ||||
\(431\) | −11.6404 | + | 20.1618i | −0.560700 | + | 0.971160i | 0.436736 | + | 0.899590i | \(0.356134\pi\) |
−0.997436 | + | 0.0715705i | \(0.977199\pi\) | |||||||
\(432\) | −2.74973 | − | 4.40897i | −0.132296 | − | 0.212127i | ||||
\(433\) | −23.9459 | − | 13.8252i | −1.15077 | − | 0.664396i | −0.201693 | − | 0.979449i | \(-0.564644\pi\) |
−0.949074 | + | 0.315053i | \(0.897978\pi\) | |||||||
\(434\) | −3.56264 | + | 21.3898i | −0.171012 | + | 1.02674i | ||||
\(435\) | 25.8008 | + | 9.06051i | 1.23705 | + | 0.434418i | ||||
\(436\) | −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 | \(-0.966725\pi\) | ||
0.994541 | − | 0.104345i | \(-0.0332746\pi\) | |||||||
\(440\) | −8.27059 | + | 4.77503i | −0.394285 | + | 0.227641i | ||||
\(441\) | −9.73320 | + | 18.6082i | −0.463486 | + | 0.886104i | ||||
\(442\) | −9.50032 | − | 4.87936i | −0.451884 | − | 0.232088i | ||||
\(443\) | 2.31071 | + | 1.33409i | 0.109785 | + | 0.0633846i | 0.553887 | − | 0.832592i | \(-0.313144\pi\) |
−0.444102 | + | 0.895976i | \(0.646477\pi\) | |||||||
\(444\) | −3.65944 | + | 10.4207i | −0.173669 | + | 0.494542i | ||||
\(445\) | −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 | \(-0.715895\pi\) |
0.988065 | + | 0.154039i | \(0.0492282\pi\) | |||||||
\(450\) | 0.677631 | − | 4.42849i | 0.0319439 | − | 0.208761i | ||||
\(451\) | − | 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 | \(-0.948125\pi\) | ||
0.986750 | − | 0.162251i | \(-0.0518754\pi\) | |||||||
\(458\) | −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 | \(-0.175932\pi\) |
−0.0291053 | + | 0.999576i | \(0.509266\pi\) | |||||||
\(462\) | −23.3655 | + | 0.486935i | −1.08706 | + | 0.0226543i | ||||
\(463\) | 22.4244i | 1.04215i | 0.853511 | + | 0.521075i | \(0.174469\pi\) | ||||
−0.853511 | + | 0.521075i | \(0.825531\pi\) | |||||||
\(464\) | 7.30144 | − | 4.21549i | 0.338961 | − | 0.195699i | ||||
\(465\) | −8.80793 | + | 25.0815i | −0.408458 | + | 1.16313i | ||||
\(466\) | −11.1073 | − | 6.41280i | −0.514535 | − | 0.297067i | ||||
\(467\) | −9.83436 | + | 17.0336i | −0.455080 | + | 0.788221i | −0.998693 | − | 0.0511146i | \(-0.983723\pi\) |
0.543613 | + | 0.839336i | \(0.317056\pi\) | |||||||
\(468\) | −4.41940 | − | 9.87263i | −0.204287 | − | 0.456363i | ||||
\(469\) | 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 | ||||
\(474\) | 13.5256 | − | 11.6134i | 0.621251 | − | 0.533421i | ||||
\(475\) | −1.94250 | + | 3.36451i | −0.0891280 | + | 0.154374i | ||||
\(476\) | 6.05106 | + | 4.98036i | 0.277350 | + | 0.228274i | ||||
\(477\) | −28.1404 | − | 4.30594i | −1.28846 | − | 0.197155i | ||||
\(478\) | 30.2795 | 1.38495 | ||||||||
\(479\) | −16.4723 | − | 9.51026i | −0.752637 | − | 0.434535i | 0.0740090 | − | 0.997258i | \(-0.476421\pi\) |
−0.826646 | + | 0.562722i | \(0.809754\pi\) | |||||||
\(480\) | 2.11291 | + | 2.46081i | 0.0964406 | + | 0.112320i | ||||
\(481\) | −10.5038 | + | 20.4513i | −0.478932 | + | 0.932500i | ||||
\(482\) | 8.34511 | 0.380109 | ||||||||
\(483\) | −23.7926 | + | 14.4058i | −1.08260 | + | 0.655488i | ||||
\(484\) | −7.50436 | − | 12.9979i | −0.341107 | − | 0.590815i | ||||
\(485\) | −18.9372 | + | 10.9334i | −0.859894 | + | 0.496460i | ||||
\(486\) | 1.83203 | − | 15.4804i | 0.0831027 | − | 0.702206i | ||||
\(487\) | 22.4738i | 1.01838i | 0.860653 | + | 0.509192i | \(0.170056\pi\) | ||||
−0.860653 | + | 0.509192i | \(0.829944\pi\) | |||||||
\(488\) | 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 | \(-0.432957\pi\) |
0.951422 | + | 0.307891i | \(0.0996233\pi\) | |||||||
\(492\) | −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 | ||||
\(495\) | −28.3205 | − | 4.33351i | −1.27291 | − | 0.194777i | ||||
\(496\) | 4.09797 | + | 7.09789i | 0.184004 | + | 0.318705i | ||||
\(497\) | −36.0685 | + | 13.5168i | −1.61789 | + | 0.606313i | ||||
\(498\) | 5.52891 | − | 15.7441i | 0.247756 | − | 0.705512i | ||||
\(499\) | 6.50477 | + | 3.75553i | 0.291193 | + | 0.168121i | 0.638480 | − | 0.769638i | \(-0.279564\pi\) |
−0.347287 | + | 0.937759i | \(0.612897\pi\) | |||||||
\(500\) | 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 | 0.331770 | + | 0.943360i | \(0.392354\pi\) |
−0.982859 | + | 0.184358i | \(0.940979\pi\) | |||||||
\(504\) | 1.62910 | + | 7.76827i | 0.0725661 | + | 0.346026i | ||||
\(505\) | 10.2177 | − | 5.89919i | 0.454682 | − | 0.262511i | ||||
\(506\) | −26.8067 | − | 15.4768i | −1.19170 | − | 0.688030i | ||||
\(507\) | −6.31218 | − | 21.6138i | −0.280334 | − | 0.959903i | ||||
\(508\) | −3.67232 | − | 6.36064i | −0.162933 | − | 0.282208i | ||||
\(509\) | 38.2320i | 1.69460i | 0.531113 | + | 0.847301i | \(0.321774\pi\) | ||||
−0.531113 | + | 0.847301i | \(0.678226\pi\) | |||||||
\(510\) | 6.25870 | + | 7.28922i | 0.277140 | + | 0.322772i | ||||
\(511\) | −1.73681 | + | 10.4276i | −0.0768320 | + | 0.461292i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | −6.35665 | + | 11.9302i | −0.280653 | + | 0.526731i | ||||
\(514\) | −7.41850 | −0.327216 | ||||||||
\(515\) | −5.39691 | − | 9.34772i | −0.237816 | − | 0.411910i | ||||
\(516\) | 12.8187 | − | 11.0064i | 0.564311 | − | 0.484531i | ||||
\(517\) | −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 | \(-0.152529\pi\) |
−0.842971 | + | 0.537959i | \(0.819195\pi\) | |||||||
\(522\) | 25.0019 | + | 3.82570i | 1.09430 | + | 0.167446i | ||||
\(523\) | − | 14.9844i | − | 0.655221i | −0.944813 | − | 0.327610i | \(-0.893757\pi\) | ||
0.944813 | − | 0.327610i | \(-0.106243\pi\) | |||||||
\(524\) | −0.465541 | + | 0.806340i | −0.0203372 | + | 0.0352251i | ||||
\(525\) | −3.29746 | + | 5.99653i | −0.143913 | + | 0.261710i | ||||
\(526\) | −17.3650 | − | 10.0257i | −0.757149 | − | 0.437140i | ||||
\(527\) | 12.1387 | + | 21.0248i | 0.528770 | + | 0.915856i | ||||
\(528\) | −6.70179 | + | 5.75431i | −0.291658 | + | 0.250424i | ||||
\(529\) | −13.8389 | −0.601690 | ||||||||
\(530\) | 17.7697 | 0.771867 | ||||||||
\(531\) | 4.13188 | − | 5.15748i | 0.179308 | − | 0.223816i | ||||
\(532\) | 1.13085 | − | 6.78950i | 0.0490285 | − | 0.294362i | ||||
\(533\) | −20.1886 | + | 0.992681i | −0.874465 | + | 0.0429978i | ||||
\(534\) | −8.47223 | + | 24.1256i | −0.366629 | + | 1.04402i | ||||
\(535\) | −5.75519 | + | 9.96828i | −0.248818 | + | 0.430966i | ||||
\(536\) | 9.56582 | + | 5.52283i | 0.413180 | + | 0.238550i | ||||
\(537\) | −6.06252 | − | 7.06075i | −0.261617 | − | 0.304694i | ||||
\(538\) | 12.4850 | 0.538267 | ||||||||
\(539\) | 33.7719 | + | 11.5710i | 1.45466 | + | 0.498397i | ||||
\(540\) | 0.331171 | + | 9.72471i | 0.0142513 | + | 0.418485i | ||||
\(541\) | −0.930484 | − | 0.537215i | −0.0400046 | − | 0.0230967i | 0.479864 | − | 0.877343i | \(-0.340686\pi\) |
−0.519869 | + | 0.854246i | \(0.674019\pi\) | |||||||
\(542\) | −2.87931 | −0.123677 | ||||||||
\(543\) | −6.49245 | + | 18.4879i | −0.278618 | + | 0.793393i | ||||
\(544\) | 2.96212 | 0.127000 | ||||||||
\(545\) | 23.5620 | 1.00929 | ||||||||
\(546\) | 1.15511 | + | 16.4823i | 0.0494343 | + | 0.705377i | ||||
\(547\) | −26.8765 | −1.14916 | −0.574578 | − | 0.818450i | \(-0.694834\pi\) | ||||
−0.574578 | + | 0.818450i | \(0.694834\pi\) | |||||||
\(548\) | 2.15714 | 0.0921483 | ||||||||
\(549\) | 17.5032 | + | 2.67827i | 0.747017 | + | 0.114306i | ||||
\(550\) | −7.61587 | −0.324742 | ||||||||
\(551\) | −18.9950 | − | 10.9668i | −0.809214 | − | 0.467200i | ||||
\(552\) | −3.48323 | + | 9.91886i | −0.148256 | + | 0.422175i | ||||
\(553\) | −25.4998 | + | 9.55619i | −1.08436 | + | 0.406370i | ||||
\(554\) | 8.00292 | 0.340011 | ||||||||
\(555\) | 15.6915 | − | 13.4731i | 0.666067 | − | 0.571900i | ||||
\(556\) | 7.18997 | + | 4.15113i | 0.304922 | + | 0.176047i | ||||
\(557\) | −13.5744 | + | 23.5116i | −0.575167 | + | 0.996219i | 0.420856 | + | 0.907127i | \(0.361730\pi\) |
−0.996023 | + | 0.0890918i | \(0.971604\pi\) | |||||||
\(558\) | −3.71905 | + | 24.3049i | −0.157440 | + | 1.02891i | ||||
\(559\) | 29.5585 | − | 19.0601i | 1.25019 | − | 0.806157i | ||||
\(560\) | −1.73863 | − | 4.63937i | −0.0734704 | − | 0.196049i | ||||
\(561\) | −19.8515 | + | 17.0450i | −0.838133 | + | 0.719640i | ||||
\(562\) | −6.16209 | −0.259932 | ||||||||
\(563\) | 16.3087 | 0.687329 | 0.343664 | − | 0.939093i | \(-0.388332\pi\) | ||||
0.343664 | + | 0.939093i | \(0.388332\pi\) | |||||||
\(564\) | 3.52699 | + | 4.10772i | 0.148513 | + | 0.172966i | ||||
\(565\) | −2.08382 | − | 3.60929i | −0.0876671 | − | 0.151844i | ||||
\(566\) | −11.9016 | − | 6.87141i | −0.500263 | − | 0.288827i | ||||
\(567\) | −10.7568 | + | 21.2436i | −0.451745 | + | 0.892147i | ||||
\(568\) | −7.27923 | + | 12.6080i | −0.305430 | + | 0.529020i | ||||
\(569\) | − | 26.1439i | − | 1.09601i | −0.836475 | − | 0.548005i | \(-0.815388\pi\) | ||
0.836475 | − | 0.548005i | \(-0.184612\pi\) | |||||||
\(570\) | 2.79580 | − | 7.96134i | 0.117103 | − | 0.333464i | ||||
\(571\) | −0.114124 | − | 0.197668i | −0.00477593 | − | 0.00827215i | 0.863628 | − | 0.504130i | \(-0.168187\pi\) |
−0.868403 | + | 0.495858i | \(0.834854\pi\) | |||||||
\(572\) | −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 | ||||
\(576\) | 2.34130 | + | 1.87572i | 0.0975542 | + | 0.0781548i | ||||
\(577\) | −8.82331 | − | 15.2824i | −0.367319 | − | 0.636215i | 0.621826 | − | 0.783155i | \(-0.286391\pi\) |
−0.989145 | + | 0.146940i | \(0.953058\pi\) | |||||||
\(578\) | −8.22582 | −0.342149 | ||||||||
\(579\) | −0.236176 | − | 0.275064i | −0.00981514 | − | 0.0114313i | ||||
\(580\) | −15.7879 | −0.655557 | ||||||||
\(581\) | −16.1982 | + | 19.6806i | −0.672016 | + | 0.816490i | ||||
\(582\) | −15.3451 | + | 13.1757i | −0.636075 | + | 0.546149i | ||||
\(583\) | 48.3942i | 2.00428i | ||||||||
\(584\) | 1.99779 | + | 3.46027i | 0.0826690 | + | 0.143187i | ||||
\(585\) | −2.07673 | + | 20.1486i | −0.0858620 | + | 0.833042i | ||||
\(586\) | −4.43117 | − | 2.55834i | −0.183050 | − | 0.105684i | ||||
\(587\) | 13.2115 | − | 7.62767i | 0.545298 | − | 0.314828i | −0.201926 | − | 0.979401i | \(-0.564720\pi\) |
0.747223 | + | 0.664573i | \(0.231387\pi\) | |||||||
\(588\) | 1.74235 | − | 11.9985i | 0.0718535 | − | 0.494810i | ||||
\(589\) | 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 | \(-0.333165\pi\) |
−0.499542 | + | 0.866290i | \(0.666498\pi\) | |||||||
\(594\) | −26.4844 | + | 0.901915i | −1.08667 | + | 0.0370060i | ||||
\(595\) | −5.15003 | − | 13.7424i | −0.211131 | − | 0.563383i | ||||
\(596\) | −1.97912 | − | 3.42793i | −0.0810678 | − | 0.140414i | ||||
\(597\) | 8.29496 | − | 23.6208i | 0.339490 | − | 0.966734i | ||||
\(598\) | −9.99799 | + | 19.4665i | −0.408848 | + | 0.796045i | ||||
\(599\) | 21.8300 | − | 12.6035i | 0.891949 | − | 0.514967i | 0.0173692 | − | 0.999849i | \(-0.494471\pi\) |
0.874579 | + | 0.484882i | \(0.161138\pi\) | |||||||
\(600\) | 0.478024 | + | 2.54199i | 0.0195153 | + | 0.103776i | ||||
\(601\) | −15.4945 | + | 8.94574i | −0.632033 | + | 0.364904i | −0.781539 | − | 0.623856i | \(-0.785565\pi\) |
0.149506 | + | 0.988761i | \(0.452232\pi\) | |||||||
\(602\) | −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 | ||||||||
\(606\) | 8.27956 | − | 7.10902i | 0.336334 | − | 0.288784i | ||||
\(607\) | −22.8924 | + | 13.2169i | −0.929175 | + | 0.536459i | −0.886551 | − | 0.462632i | \(-0.846905\pi\) |
−0.0426244 | + | 0.999091i | \(0.513572\pi\) | |||||||
\(608\) | −1.30077 | − | 2.25300i | −0.0527532 | − | 0.0913713i | ||||
\(609\) | −33.8546 | − | 18.6165i | −1.37186 | − | 0.754377i | ||||
\(610\) | −11.0527 | −0.447510 | ||||||||
\(611\) | 6.10778 | + | 9.47197i | 0.247094 | + | 0.383195i | ||||
\(612\) | 6.93522 | + | 5.55610i | 0.280340 | + | 0.224592i | ||||
\(613\) | −7.14521 | − | 4.12529i | −0.288593 | − | 0.166619i | 0.348714 | − | 0.937229i | \(-0.386618\pi\) |
−0.637307 | + | 0.770610i | \(0.719952\pi\) | |||||||
\(614\) | 1.12751 | 0.0455024 | ||||||||
\(615\) | 17.1559 | + | 6.02468i | 0.691793 | + | 0.242938i | ||||
\(616\) | 12.6349 | − | 4.73499i | 0.509075 | − | 0.190778i | ||||
\(617\) | 2.53770 | − | 4.39542i | 0.102164 | − | 0.176953i | −0.810412 | − | 0.585860i | \(-0.800757\pi\) |
0.912576 | + | 0.408907i | \(0.134090\pi\) | |||||||
\(618\) | −6.50373 | − | 7.57461i | −0.261619 | − | 0.304695i | ||||
\(619\) | 14.6995 | + | 25.4603i | 0.590822 | + | 1.02333i | 0.994122 | + | 0.108266i | \(0.0345298\pi\) |
−0.403300 | + | 0.915068i | \(0.632137\pi\) | |||||||
\(620\) | − | 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 | ||||
\(624\) | 4.29602 | + | 4.53258i | 0.171978 | + | 0.181448i | ||||
\(625\) | 7.65160 | − | 13.2530i | 0.306064 | − | 0.530118i | ||||
\(626\) | 28.1564 | + | 16.2561i | 1.12536 | + | 0.649725i | ||||
\(627\) | 21.6820 | + | 7.61411i | 0.865895 | + | 0.304078i | ||||
\(628\) | 6.31098 | − | 3.64365i | 0.251836 | − | 0.145397i | ||||
\(629\) | − | 18.8882i | − | 0.753120i | ||||||
\(630\) | 4.63150 | − | 14.1233i | 0.184523 | − | 0.562687i | ||||
\(631\) | 31.4596 | + | 18.1632i | 1.25239 | + | 0.723066i | 0.971583 | − | 0.236699i | \(-0.0760655\pi\) |
0.280804 | + | 0.959765i | \(0.409399\pi\) | |||||||
\(632\) | −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 | \(-0.00464970\pi\) | |||||||
\(642\) | −3.52754 | + | 10.0450i | −0.139221 | + | 0.396446i | ||||
\(643\) | −2.41482 | + | 4.18259i | −0.0952313 | + | 0.164945i | −0.909705 | − | 0.415255i | \(-0.863692\pi\) |
0.814474 | + | 0.580200i | \(0.197026\pi\) | |||||||
\(644\) | 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 | \(-0.808019\pi\) |
0.903009 | + | 0.429621i | \(0.141353\pi\) | |||||||
\(648\) | 1.96338 | + | 8.78323i | 0.0771287 | + | 0.345038i | ||||
\(649\) | −9.72906 | − | 5.61707i | −0.381899 | − | 0.220489i | ||||
\(650\) | 0.264430 | + | 5.37783i | 0.0103718 | + | 0.210936i | ||||
\(651\) | 18.0975 | − | 32.9108i | 0.709296 | − | 1.28988i | ||||
\(652\) | −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 | ||||
\(657\) | −1.81306 | + | 11.8488i | −0.0707343 | + | 0.462266i | ||||
\(658\) | −2.90221 | − | 7.74430i | −0.113140 | − | 0.301904i | ||||
\(659\) | −40.3288 | − | 23.2838i | −1.57099 | − | 0.907009i | −0.996048 | − | 0.0888111i | \(-0.971693\pi\) |
−0.574937 | − | 0.818198i | \(-0.694973\pi\) | |||||||
\(660\) | 16.2562 | − | 3.05700i | 0.632773 | − | 0.118994i | ||||
\(661\) | −22.2936 | + | 38.6137i | −0.867122 | + | 1.50190i | −0.00219813 | + | 0.999998i | \(0.500700\pi\) |
−0.864924 | + | 0.501902i | \(0.832634\pi\) | |||||||
\(662\) | −6.22337 | + | 3.59306i | −0.241878 | + | 0.139648i | ||||
\(663\) | 12.7253 | + | 13.4261i | 0.494211 | + | 0.521425i | ||||
\(664\) | 9.63409i | 0.373875i | ||||||||
\(665\) | −8.19096 | + | 9.95189i | −0.317632 | + | 0.385918i | ||||
\(666\) | 11.9606 | − | 14.9294i | 0.463464 | − | 0.578504i | ||||
\(667\) | −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 | ||||||
\(672\) | −2.37348 | − | 3.92003i | −0.0915589 | − | 0.151218i | ||||
\(673\) | −7.92610 | − | 13.7284i | −0.305529 | − | 0.529191i | 0.671850 | − | 0.740687i | \(-0.265500\pi\) |
−0.977379 | + | 0.211496i | \(0.932166\pi\) | |||||||
\(674\) | 19.2711 | 0.742295 | ||||||||
\(675\) | −3.64886 | + | 6.84821i | −0.140445 | + | 0.263588i | ||||
\(676\) | 7.57313 | + | 10.5663i | 0.291274 | + | 0.406398i | ||||
\(677\) | −2.65460 | + | 4.59790i | −0.102024 | + | 0.176711i | −0.912519 | − | 0.409035i | \(-0.865865\pi\) |
0.810494 | + | 0.585747i | \(0.199199\pi\) | |||||||
\(678\) | −2.51118 | − | 2.92466i | −0.0964415 | − | 0.112321i | ||||
\(679\) | 28.9302 | − | 10.8417i | 1.11024 | − | 0.416067i | ||||
\(680\) | −4.80375 | − | 2.77345i | −0.184215 | − | 0.106357i | ||||
\(681\) | 10.6066 | − | 30.2035i | 0.406447 | − | 1.15740i | ||||
\(682\) | 41.7983 | 1.60054 | ||||||||
\(683\) | 11.9713 | 0.458070 | 0.229035 | − | 0.973418i | \(-0.426443\pi\) | ||||
0.229035 | + | 0.973418i | \(0.426443\pi\) | |||||||
\(684\) | 1.18050 | − | 7.71483i | 0.0451374 | − | 0.294984i | ||||
\(685\) | −3.49828 | − | 2.01973i | −0.133662 | − | 0.0771701i | ||||
\(686\) | −8.79982 | + | 16.2961i | −0.335979 | + | 0.622188i | ||||
\(687\) | 0.264247 | − | 0.226889i | 0.0100817 | − | 0.00865635i | ||||
\(688\) | −4.87733 | + | 8.44778i | −0.185946 | + | 0.322069i | ||||
\(689\) | 34.1729 | − | 1.68029i | 1.30188 | − | 0.0640141i | ||||
\(690\) | 14.9359 | − | 12.8243i | 0.568600 | − | 0.488213i | ||||
\(691\) | 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 | ||||
\(693\) | 38.4636 | + | 12.6135i | 1.46111 | + | 0.479146i | ||||
\(694\) | − | 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 | ||||
\(699\) | 14.4714 | + | 16.8542i | 0.547360 | + | 0.637486i | ||||
\(700\) | 0.649132 | − | 3.89733i | 0.0245349 | − | 0.147305i | ||||
\(701\) | − | 41.8339i | − | 1.58005i | −0.613078 | − | 0.790023i | \(-0.710069\pi\) | ||
0.613078 | − | 0.790023i | \(-0.289931\pi\) | |||||||
\(702\) | 1.55644 | + | 18.6702i | 0.0587439 | + | 0.704662i | ||||
\(703\) | −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 | ||||
\(708\) | −1.26418 | + | 3.59989i | −0.0475108 | + | 0.135292i | ||||
\(709\) | 9.91254 | − | 5.72301i | 0.372273 | − | 0.214932i | −0.302178 | − | 0.953252i | \(-0.597714\pi\) |
0.674451 | + | 0.738320i | \(0.264380\pi\) | |||||||
\(710\) | 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 | ||||
\(714\) | −7.03054 | − | 11.6116i | −0.263111 | − | 0.434553i | ||||
\(715\) | 34.3917 | − | 1.69105i | 1.28618 | − | 0.0632418i | ||||
\(716\) | 4.65318 | + | 2.68651i | 0.173897 | + | 0.100400i | ||||
\(717\) | −49.4832 | − | 17.3771i | −1.84798 | − | 0.648961i | ||||
\(718\) | 4.87490 | − | 8.44358i | 0.181930 | − | 0.315112i | ||||
\(719\) | −16.1498 | − | 27.9723i | −0.602286 | − | 1.04319i | −0.992474 | − | 0.122455i | \(-0.960923\pi\) |
0.390188 | − | 0.920735i | \(-0.372410\pi\) | |||||||
\(720\) | −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 | ||||
\(723\) | −13.6377 | − | 4.78917i | −0.507191 | − | 0.178111i | ||||
\(724\) | − | 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 | \(0.225593\pi\) | ||||
−0.759195 | + | 0.650863i | \(0.774407\pi\) | |||||||
\(728\) | −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 | −0.844133 | − | 0.536134i | \(-0.819884\pi\) |
0.886372 | + | 0.462974i | \(0.153218\pi\) | |||||||
\(734\) | −12.5943 | − | 7.27133i | −0.464864 | − | 0.268390i | ||||
\(735\) | −14.0599 | + | 17.8269i | −0.518606 | + | 0.657555i | ||||
\(736\) | − | 6.06950i | − | 0.223725i | ||||||
\(737\) | 48.7845 | − | 28.1657i | 1.79700 | − | 1.03750i | ||||
\(738\) | 16.6247 | + | 2.54385i | 0.611964 | + | 0.0936405i | ||||
\(739\) | −5.64299 | − | 3.25798i | −0.207581 | − | 0.119847i | 0.392606 | − | 0.919707i | \(-0.371574\pi\) |
−0.600186 | + | 0.799860i | \(0.704907\pi\) | |||||||
\(740\) | −5.97039 | + | 10.3410i | −0.219476 | + | 0.380144i | ||||
\(741\) | 4.62377 | − | 15.5748i | 0.169858 | − | 0.572154i | ||||
\(742\) | −24.7652 | − | 4.12484i | −0.909158 | − | 0.151428i | ||||
\(743\) | 14.5039 | + | 25.1215i | 0.532097 | + | 0.921620i | 0.999298 | + | 0.0374682i | \(0.0119293\pi\) |
−0.467201 | + | 0.884151i | \(0.654737\pi\) | |||||||
\(744\) | −2.62354 | − | 13.9512i | −0.0961838 | − | 0.511478i | ||||
\(745\) | 7.41222i | 0.271563i | ||||||||
\(746\) | 6.87679 | + | 11.9109i | 0.251777 | + | 0.436091i | ||||
\(747\) | −18.0708 | + | 22.5563i | −0.661177 | + | 0.825292i | ||||
\(748\) | 7.55323 | − | 13.0826i | 0.276173 | − | 0.478346i | ||||
\(749\) | 10.3348 | − | 12.5566i | 0.377624 | − | 0.458807i | ||||
\(750\) | 6.97820 | − | 19.8712i | 0.254808 | − | 0.725593i | ||||
\(751\) | 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 | ||||
\(753\) | −0.854651 | + | 0.733823i | −0.0311452 | + | 0.0267420i | ||||
\(754\) | −30.3616 | + | 1.49289i | −1.10571 | + | 0.0543680i | ||||
\(755\) | −10.4275 | −0.379495 | ||||||||
\(756\) | 1.79583 | − | 13.6299i | 0.0653137 | − | 0.495716i | ||||
\(757\) | −10.6357 | − | 18.4215i | −0.386560 | − | 0.669542i | 0.605424 | − | 0.795903i | \(-0.293004\pi\) |
−0.991984 | + | 0.126361i | \(0.959670\pi\) | |||||||
\(758\) | 25.1138 | − | 14.4995i | 0.912176 | − | 0.526645i | ||||
\(759\) | 34.9258 | + | 40.6765i | 1.26773 | + | 1.47647i | ||||
\(760\) | 4.87167i | 0.176714i | ||||||||
\(761\) | 21.3492 | − | 12.3260i | 0.773908 | − | 0.446816i | −0.0603590 | − | 0.998177i | \(-0.519225\pi\) |
0.834267 | + | 0.551361i | \(0.185891\pi\) | |||||||
\(762\) | 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 | ||||
\(768\) | −1.63421 | − | 0.573890i | −0.0589696 | − | 0.0207085i | ||||
\(769\) | 6.30372 | + | 10.9184i | 0.227318 | + | 0.393726i | 0.957012 | − | 0.290047i | \(-0.0936710\pi\) |
−0.729694 | + | 0.683773i | \(0.760338\pi\) | |||||||
\(770\) | −24.9237 | − | 4.15125i | −0.898189 | − | 0.149601i | ||||
\(771\) | 12.1234 | + | 4.25740i | 0.436614 | + | 0.153327i | ||||
\(772\) | 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 | ||||
\(777\) | −24.9963 | + | 15.1346i | −0.896736 | + | 0.542952i | ||||
\(778\) | −4.31018 | + | 2.48848i | −0.154527 | + | 0.0892164i | ||||
\(779\) | −12.6305 | − | 7.29222i | −0.452534 | − | 0.261271i | ||||
\(780\) | −2.72309 | − | 11.3730i | −0.0975022 | − | 0.407217i | ||||
\(781\) | 37.1232 | + | 64.2992i | 1.32837 | + | 2.30081i | ||||
\(782\) | − | 17.9786i | − | 0.642914i | ||||||
\(783\) | −38.6629 | − | 20.6004i | −1.38170 | − | 0.736197i | ||||
\(784\) | 1.34615 | + | 6.86934i | 0.0480767 | + | 0.245334i | ||||
\(785\) | −13.6462 | −0.487055 | ||||||||
\(786\) | 1.22354 | − | 1.05056i | 0.0436423 | − | 0.0374723i | ||||
\(787\) | 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 | ||||
\(789\) | 22.6244 | + | 26.3497i | 0.805451 | + | 0.938073i | ||||
\(790\) | 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 | ||||
\(795\) | −29.0395 | − | 10.1979i | −1.02992 | − | 0.361681i | ||||
\(796\) | 14.4539i | 0.512306i | ||||||||
\(797\) | 24.3061 | − | 42.0995i | 0.860968 | − | 1.49124i | −0.0100279 | − | 0.999950i | \(-0.503192\pi\) |
0.870996 | − | 0.491290i | \(-0.163475\pi\) | |||||||
\(798\) | −5.74447 | + | 10.4465i | −0.203352 | + | 0.369802i | ||||
\(799\) | −8.01869 | − | 4.62959i | −0.283681 | − | 0.163783i | ||||
\(800\) | −0.746672 | − | 1.29327i | −0.0263989 | − | 0.0457242i | ||||
\(801\) | 27.6909 | − | 34.5642i | 0.978408 | − | 1.22127i | ||||
\(802\) | −6.92045 | −0.244370 | ||||||||
\(803\) | 20.3769 | 0.719086 | ||||||||
\(804\) | −12.4631 | − | 14.5152i | −0.439539 | − | 0.511912i | ||||
\(805\) | −28.1587 | + | 10.5526i | −0.992463 | + | 0.371930i | ||||
\(806\) | −1.45128 | − | 29.5152i | −0.0511190 | − | 1.03963i | ||||
\(807\) | −20.4032 | − | 7.16502i | −0.718225 | − | 0.252221i | ||||
\(808\) | −3.15026 | + | 5.45640i | −0.110826 | + | 0.191956i | ||||
\(809\) | 7.20663 | + | 4.16075i | 0.253372 | + | 0.146284i | 0.621307 | − | 0.783567i | \(-0.286602\pi\) |
−0.367936 | + | 0.929851i | \(0.619935\pi\) | |||||||
\(810\) | 5.03971 | − | 16.0823i | 0.177077 | − | 0.565074i | ||||
\(811\) | 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 | ||||
\(813\) | 4.70541 | + | 1.65241i | 0.165026 | + | 0.0579525i | ||||
\(814\) | −28.1628 | − | 16.2598i | −0.987107 | − | 0.569907i | ||||
\(815\) | 37.0947 | 1.29937 | ||||||||
\(816\) | −4.84074 | − | 1.69993i | −0.169460 | − | 0.0595096i | ||||
\(817\) | 25.3772 | 0.887834 | ||||||||
\(818\) | 11.3829 | 0.397995 | ||||||||
\(819\) | 7.57132 | − | 27.5985i | 0.264563 | − | 0.964368i | ||||
\(820\) | −10.4980 | −0.366605 | ||||||||
\(821\) | −27.3330 | −0.953929 | −0.476964 | − | 0.878923i | \(-0.658263\pi\) | ||||
−0.476964 | + | 0.878923i | \(0.658263\pi\) | |||||||
\(822\) | −3.52522 | − | 1.23796i | −0.122956 | − | 0.0431788i | ||||
\(823\) | 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 | ||||
\(825\) | 12.4460 | + | 4.37067i | 0.433312 | + | 0.152167i | ||||
\(826\) | 3.70372 | − | 4.49996i | 0.128869 | − | 0.156574i | ||||
\(827\) | −43.7556 | −1.52153 | −0.760766 | − | 0.649027i | \(-0.775176\pi\) | ||||
−0.760766 | + | 0.649027i | \(0.775176\pi\) | |||||||
\(828\) | 11.3847 | − | 14.2105i | 0.395644 | − | 0.493850i | ||||
\(829\) | −35.5899 | − | 20.5478i | −1.23609 | − | 0.713656i | −0.267796 | − | 0.963476i | \(-0.586295\pi\) |
−0.968292 | + | 0.249819i | \(0.919629\pi\) | |||||||
\(830\) | 9.02043 | − | 15.6238i | 0.313104 | − | 0.542311i | ||||
\(831\) | −13.0785 | − | 4.59279i | −0.453687 | − | 0.159322i | ||||
\(832\) | −3.20727 | − | 1.64725i | −0.111192 | − | 0.0571082i | ||||
\(833\) | 3.98746 | + | 20.3478i | 0.138157 | + | 0.705011i | ||||
\(834\) | −9.36764 | − | 10.9101i | −0.324375 | − | 0.377785i | ||||
\(835\) | 28.3025 | 0.979449 | ||||||||
\(836\) | −13.2675 | −0.458867 | ||||||||
\(837\) | 20.0261 | − | 37.5851i | 0.692203 | − | 1.29913i | ||||
\(838\) | 4.51941 | + | 7.82784i | 0.156120 | + | 0.270408i | ||||
\(839\) | −19.7685 | − | 11.4133i | −0.682484 | − | 0.394032i | 0.118306 | − | 0.992977i | \(-0.462253\pi\) |
−0.800790 | + | 0.598945i | \(0.795587\pi\) | |||||||
\(840\) | 0.178796 | + | 8.57950i | 0.00616905 | + | 0.296021i | ||||
\(841\) | 21.0407 | − | 36.4435i | 0.725540 | − | 1.25667i | ||||
\(842\) | − | 3.07453i | − | 0.105955i | ||||||
\(843\) | 10.0702 | + | 3.53636i | 0.346835 | + | 0.121799i | ||||
\(844\) | 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 | ||||
\(849\) | 15.5064 | + | 18.0596i | 0.532177 | + | 0.619803i | ||||
\(850\) | −2.21174 | − | 3.83084i | −0.0758619 | − | 0.131397i | ||||
\(851\) | −38.7025 | −1.32671 | ||||||||
\(852\) | 19.1314 | − | 16.4267i | 0.655432 | − | 0.562769i | ||||
\(853\) | −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 | ||||
\(855\) | −9.13786 | + | 11.4060i | −0.312508 | + | 0.390078i | ||||
\(856\) | − | 6.14671i | − | 0.210090i | ||||||
\(857\) | −4.09187 | − | 7.08733i | −0.139776 | − | 0.242099i | 0.787636 | − | 0.616141i | \(-0.211305\pi\) |
−0.927412 | + | 0.374042i | \(0.877972\pi\) | |||||||
\(858\) | 30.9732 | − | 7.41609i | 1.05741 | − | 0.253181i | ||||
\(859\) | −42.2454 | − | 24.3904i | −1.44139 | − | 0.832189i | −0.443451 | − | 0.896299i | \(-0.646246\pi\) |
−0.997943 | + | 0.0641096i | \(0.979579\pi\) | |||||||
\(860\) | 15.8194 | − | 9.13332i | 0.539436 | − | 0.311444i | ||||
\(861\) | −22.5112 | − | 12.3788i | −0.767180 | − | 0.421868i | ||||
\(862\) | −11.6404 | + | 20.1618i | −0.396475 | + | 0.686714i | ||||
\(863\) | −0.899862 | + | 1.55861i | −0.0306316 | + | 0.0530556i | −0.880935 | − | 0.473238i | \(-0.843085\pi\) |
0.850303 | + | 0.526293i | \(0.176419\pi\) | |||||||
\(864\) | −2.74973 | − | 4.40897i | −0.0935476 | − | 0.149996i | ||||
\(865\) | 36.0557i | 1.22593i | ||||||||
\(866\) | −23.9459 | − | 13.8252i | −0.813715 | − | 0.469799i | ||||
\(867\) | 13.4427 | + | 4.72072i | 0.456539 | + | 0.160324i | ||||
\(868\) | −3.56264 | + | 21.3898i | −0.120924 | + | 0.726016i | ||||
\(869\) | 26.2455 | + | 45.4585i | 0.890317 | + | 1.54207i | ||||
\(870\) | 25.8008 | + | 9.06051i | 0.874728 | + | 0.307180i | ||||
\(871\) | −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 | −0.953775 | − | 0.300521i | \(-0.902839\pi\) |
−0.216629 | + | 0.976254i | \(0.569506\pi\) | |||||||
\(878\) | − | 4.37253i | − | 0.147566i | ||||||
\(879\) | 5.77327 | + | 6.72387i | 0.194728 | + | 0.226791i | ||||
\(880\) | −8.27059 | + | 4.77503i | −0.278802 | + | 0.160966i | ||||
\(881\) | 1.57402 | + | 2.72629i | 0.0530302 | + | 0.0918510i | 0.891322 | − | 0.453371i | \(-0.149779\pi\) |
−0.838292 | + | 0.545222i | \(0.816445\pi\) | |||||||
\(882\) | −9.73320 | + | 18.6082i | −0.327734 | + | 0.626570i | ||||
\(883\) | −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 | ||||
\(885\) | 5.42074 | − | 4.65437i | 0.182216 | − | 0.156455i | ||||
\(886\) | 2.31071 | + | 1.33409i | 0.0776299 | + | 0.0448196i | ||||
\(887\) | 48.8111 | 1.63892 | 0.819458 | − | 0.573139i | \(-0.194275\pi\) | ||||
0.819458 | + | 0.573139i | \(0.194275\pi\) | |||||||
\(888\) | −3.65944 | + | 10.4207i | −0.122803 | + | 0.349694i | ||||
\(889\) | 3.19259 | − | 19.1680i | 0.107076 | − | 0.642875i | ||||
\(890\) | −13.8225 | + | 23.9412i | −0.463330 | + | 0.802512i | ||||
\(891\) | 43.7987 | + | 13.7252i | 1.46731 | + | 0.459811i | ||||
\(892\) | −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 | ||||
\(897\) | 27.5105 | − | 26.0747i | 0.918548 | − | 0.870608i | ||||
\(898\) | 7.64162 | − | 13.2357i | 0.255004 | − | 0.441680i | ||||
\(899\) | 59.8421 | + | 34.5499i | 1.99585 | + | 1.15230i | ||||
\(900\) | 0.677631 | − | 4.42849i | 0.0225877 | − | 0.147616i | ||||
\(901\) | −24.3427 | + | 14.0542i | −0.810972 | + | 0.468215i | ||||
\(902\) | − | 28.5903i | − | 0.951951i | ||||||
\(903\) | 44.6918 | − | 0.931373i | 1.48725 | − | 0.0309942i | ||||
\(904\) | 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 | −0.595783 | − | 0.803146i | \(-0.703158\pi\) |
0.993436 | + | 0.114390i | \(0.0364913\pi\) | |||||||
\(908\) | 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 | ||||||
\(915\) | 18.0624 | + | 6.34302i | 0.597126 | + | 0.209694i | ||||
\(916\) | −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 | 0.989056 | + | 0.147542i | \(0.0471363\pi\) |
−0.366753 | + | 0.930319i | \(0.619530\pi\) | |||||||
\(920\) | −5.68289 | + | 9.84306i | −0.187359 | + | 0.324516i | ||||
\(921\) | −1.84258 | − | 0.647064i | −0.0607152 | − | 0.0213215i | ||||
\(922\) | 17.6491 | + | 10.1897i | 0.581242 | + | 0.335580i | ||||
\(923\) | 44.1150 | − | 28.4465i | 1.45206 | − | 0.936328i | ||||
\(924\) | −23.3655 | + | 0.486935i | −0.768668 | + | 0.0160190i | ||||
\(925\) | −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 | \(-0.796692\pi\) |
0.114859 | + | 0.993382i | \(0.463358\pi\) | |||||||
\(930\) | −8.80793 | + | 25.0815i | −0.288823 | + | 0.822455i | ||||
\(931\) | 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 | ||||
\(936\) | −4.41940 | − | 9.87263i | −0.144453 | − | 0.322697i | ||||
\(937\) | − | 25.9178i | − | 0.846698i | −0.905967 | − | 0.423349i | \(-0.860854\pi\) | ||
0.905967 | − | 0.423349i | \(-0.139146\pi\) | |||||||
\(938\) | 10.2554 | + | 27.3655i | 0.334849 | + | 0.893516i | ||||
\(939\) | −36.6844 | − | 42.7246i | −1.19715 | − | 1.39427i | ||||
\(940\) | 2.92675 | + | 5.06929i | 0.0954602 | + | 0.165342i | ||||
\(941\) | −51.6878 | + | 29.8420i | −1.68498 | + | 0.972821i | −0.726709 | + | 0.686946i | \(0.758951\pi\) |
−0.958267 | + | 0.285875i | \(0.907716\pi\) | |||||||
\(942\) | −12.4045 | + | 2.33268i | −0.404162 | + | 0.0760030i | ||||
\(943\) | −17.0130 | − | 29.4674i | −0.554020 | − | 0.959592i | ||||
\(944\) | − | 2.20283i | − | 0.0716960i | ||||||
\(945\) | −15.6741 | + | 20.4226i | −0.509878 | + | 0.664346i | ||||
\(946\) | 24.8738 | + | 43.0826i | 0.808716 | + | 1.40074i | ||||
\(947\) | 21.8964 | 0.711538 | 0.355769 | − | 0.934574i | \(-0.384219\pi\) | ||||
0.355769 | + | 0.934574i | \(0.384219\pi\) | |||||||
\(948\) | 13.5256 | − | 11.6134i | 0.439291 | − | 0.377185i | ||||
\(949\) | −0.707506 | − | 14.3889i | −0.0229666 | − | 0.467082i | ||||
\(950\) | −1.94250 | + | 3.36451i | −0.0630230 | + | 0.109159i | ||||
\(951\) | 33.4207 | − | 28.6957i | 1.08374 | − | 0.930523i | ||||
\(952\) | 6.05106 | + | 4.98036i | 0.196116 | + | 0.161414i | ||||
\(953\) | −5.23975 | − | 3.02517i | −0.169732 | − | 0.0979949i | 0.412727 | − | 0.910855i | \(-0.364576\pi\) |
−0.582459 | + | 0.812860i | \(0.697910\pi\) | |||||||
\(954\) | −28.1404 | − | 4.30594i | −0.911078 | − | 0.139410i | ||||
\(955\) | −5.94335 | −0.192322 | ||||||||
\(956\) | 30.2795 | 0.979311 | ||||||||
\(957\) | −24.6755 | + | 70.2661i | −0.797645 | + | 2.27138i | ||||
\(958\) | −16.4723 | − | 9.51026i | −0.532195 | − | 0.307263i | ||||
\(959\) | 4.40662 | + | 3.62689i | 0.142297 | + | 0.117119i | ||||
\(960\) | 2.11291 | + | 2.46081i | 0.0681938 | + | 0.0794223i | ||||
\(961\) | −18.0867 | + | 31.3271i | −0.583443 | + | 1.01055i | ||||
\(962\) | −10.5038 | + | 20.4513i | −0.338656 | + | 0.659377i | ||||
\(963\) | 11.5295 | − | 14.3913i | 0.371533 | − | 0.463753i | ||||
\(964\) | 8.34511 | 0.268778 | ||||||||
\(965\) | −0.195983 | − | 0.339453i | −0.00630892 | − | 0.0109274i | ||||
\(966\) | −23.7926 | + | 14.4058i | −0.765515 | + | 0.463500i | ||||
\(967\) | 17.1921i | 0.552862i | 0.961034 | + | 0.276431i | \(0.0891518\pi\) | ||||
−0.961034 | + | 0.276431i | \(0.910848\pi\) | |||||||
\(968\) | −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 | 0.979529 | + | 0.201305i | \(0.0645183\pi\) |
−0.315429 | + | 0.948949i | \(0.602148\pi\) | |||||||
\(972\) | 1.83203 | − | 15.4804i | 0.0587625 | − | 0.496535i | ||||
\(973\) | 7.70825 | + | 20.5688i | 0.247115 | + | 0.659405i | ||||
\(974\) | 22.4738i | 0.720107i | ||||||||
\(975\) | 2.65415 | − | 8.94028i | 0.0850008 | − | 0.286318i | ||||
\(976\) | 5.11154 | − | 2.95115i | 0.163616 | − | 0.0944640i | ||||
\(977\) | 19.9713 | − | 34.5912i | 0.638937 | − | 1.10667i | −0.346729 | − | 0.937965i | \(-0.612708\pi\) |
0.985666 | − | 0.168706i | \(-0.0539589\pi\) | |||||||
\(978\) | 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 | ||||
\(981\) | −37.3131 | − | 5.70952i | −1.19132 | − | 0.182291i | ||||
\(982\) | 25.7148 | − | 14.8464i | 0.820591 | − | 0.473768i | ||||
\(983\) | 3.96116 | − | 2.28698i | 0.126342 | − | 0.0729433i | −0.435497 | − | 0.900190i | \(-0.643427\pi\) |
0.561839 | + | 0.827247i | \(0.310094\pi\) | |||||||
\(984\) | −9.54273 | + | 1.79452i | −0.304211 | + | 0.0572072i | ||||
\(985\) | − | 36.4034i | − | 1.15991i | ||||||
\(986\) | 21.6278 | − | 12.4868i | 0.688768 | − | 0.397661i | ||||
\(987\) | 0.298457 | + | 14.3214i | 0.00949998 | + | 0.455855i | ||||
\(988\) | 0.460662 | + | 9.36868i | 0.0146556 | + | 0.298057i | ||||
\(989\) | 51.2738 | + | 29.6030i | 1.63041 | + | 0.941319i | ||||
\(990\) | −28.3205 | − | 4.33351i | −0.900086 | − | 0.137728i | ||||
\(991\) | 9.02683 | − | 15.6349i | 0.286747 | − | 0.496660i | −0.686285 | − | 0.727333i | \(-0.740760\pi\) |
0.973031 | + | 0.230673i | \(0.0740929\pi\) | |||||||
\(992\) | 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 | ||||
\(996\) | 5.52891 | − | 15.7441i | 0.175190 | − | 0.498872i | ||||
\(997\) | 42.3940i | 1.34263i | 0.741171 | + | 0.671316i | \(0.234271\pi\) | ||||
−0.741171 | + | 0.671316i | \(0.765729\pi\) | |||||||
\(998\) | 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.f.257.3 | yes | 34 | |
3.2 | odd | 2 | 546.2.bi.e.257.4 | yes | 34 | ||
7.3 | odd | 6 | 546.2.bn.e.101.8 | yes | 34 | ||
13.4 | even | 6 | 546.2.bn.f.173.10 | yes | 34 | ||
21.17 | even | 6 | 546.2.bn.f.101.10 | yes | 34 | ||
39.17 | odd | 6 | 546.2.bn.e.173.8 | yes | 34 | ||
91.17 | odd | 6 | 546.2.bi.e.17.4 | ✓ | 34 | ||
273.17 | even | 6 | inner | 546.2.bi.f.17.3 | yes | 34 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.bi.e.17.4 | ✓ | 34 | 91.17 | odd | 6 | ||
546.2.bi.e.257.4 | yes | 34 | 3.2 | odd | 2 | ||
546.2.bi.f.17.3 | yes | 34 | 273.17 | even | 6 | inner | |
546.2.bi.f.257.3 | yes | 34 | 1.1 | even | 1 | trivial | |
546.2.bn.e.101.8 | yes | 34 | 7.3 | odd | 6 | ||
546.2.bn.e.173.8 | yes | 34 | 39.17 | odd | 6 | ||
546.2.bn.f.101.10 | yes | 34 | 21.17 | even | 6 | ||
546.2.bn.f.173.10 | yes | 34 | 13.4 | even | 6 |