Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(43,546)]
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([0, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.43");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.s (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: | \(8\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{6})\) |
Coefficient field: | 8.0.195105024.2 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{8} - 4x^{7} + 5x^{6} + 4x^{5} - 20x^{4} + 12x^{3} + 45x^{2} - 108x + 81 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{11}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 127.2 | ||
Root | \(0.560908 - 1.63871i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 546.127 |
Dual form | 546.2.s.e.43.1 |
$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.866025 | + | 0.500000i | −0.612372 | + | 0.353553i | ||||
\(3\) | 0.500000 | + | 0.866025i | 0.288675 | + | 0.500000i | ||||
\(4\) | 0.500000 | − | 0.866025i | 0.250000 | − | 0.433013i | ||||
\(5\) | − | 0.332808i | − | 0.148836i | −0.997227 | − | 0.0744180i | \(-0.976290\pi\) | ||
0.997227 | − | 0.0744180i | \(-0.0237099\pi\) | |||||||
\(6\) | −0.866025 | − | 0.500000i | −0.353553 | − | 0.204124i | ||||
\(7\) | −0.866025 | − | 0.500000i | −0.327327 | − | 0.188982i | ||||
\(8\) | 1.00000i | 0.353553i | ||||||||
\(9\) | −0.500000 | + | 0.866025i | −0.166667 | + | 0.288675i | ||||
\(10\) | 0.166404 | + | 0.288220i | 0.0526215 | + | 0.0911431i | ||||
\(11\) | 2.26053 | − | 1.30512i | 0.681575 | − | 0.393508i | −0.118873 | − | 0.992909i | \(-0.537928\pi\) |
0.800448 | + | 0.599402i | \(0.204595\pi\) | |||||||
\(12\) | 1.00000 | 0.288675 | ||||||||
\(13\) | 3.41140 | − | 1.16719i | 0.946153 | − | 0.323721i | ||||
\(14\) | 1.00000 | 0.267261 | ||||||||
\(15\) | 0.288220 | − | 0.166404i | 0.0744180 | − | 0.0429653i | ||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | −1.94383 | + | 3.36681i | −0.471448 | + | 0.816572i | −0.999466 | − | 0.0326607i | \(-0.989602\pi\) |
0.528018 | + | 0.849233i | \(0.322935\pi\) | |||||||
\(18\) | − | 1.00000i | − | 0.235702i | ||||||
\(19\) | 4.85997 | + | 2.80591i | 1.11495 | + | 0.643719i | 0.940108 | − | 0.340877i | \(-0.110724\pi\) |
0.174846 | + | 0.984596i | \(0.444057\pi\) | |||||||
\(20\) | −0.288220 | − | 0.166404i | −0.0644479 | − | 0.0372090i | ||||
\(21\) | − | 1.00000i | − | 0.218218i | ||||||
\(22\) | −1.30512 | + | 2.26053i | −0.278252 | + | 0.481947i | ||||
\(23\) | 2.10628 | + | 3.64819i | 0.439191 | + | 0.760701i | 0.997627 | − | 0.0688467i | \(-0.0219319\pi\) |
−0.558437 | + | 0.829547i | \(0.688599\pi\) | |||||||
\(24\) | −0.866025 | + | 0.500000i | −0.176777 | + | 0.102062i | ||||
\(25\) | 4.88924 | 0.977848 | ||||||||
\(26\) | −2.37076 | + | 2.71652i | −0.464945 | + | 0.532753i | ||||
\(27\) | −1.00000 | −0.192450 | ||||||||
\(28\) | −0.866025 | + | 0.500000i | −0.163663 | + | 0.0944911i | ||||
\(29\) | 0.593337 | + | 1.02769i | 0.110180 | + | 0.190837i | 0.915843 | − | 0.401537i | \(-0.131524\pi\) |
−0.805663 | + | 0.592374i | \(0.798191\pi\) | |||||||
\(30\) | −0.166404 | + | 0.288220i | −0.0303810 | + | 0.0526215i | ||||
\(31\) | − | 7.07434i | − | 1.27059i | −0.772270 | − | 0.635294i | \(-0.780879\pi\) | ||
0.772270 | − | 0.635294i | \(-0.219121\pi\) | |||||||
\(32\) | 0.866025 | + | 0.500000i | 0.153093 | + | 0.0883883i | ||||
\(33\) | 2.26053 | + | 1.30512i | 0.393508 | + | 0.227192i | ||||
\(34\) | − | 3.88766i | − | 0.666729i | ||||||
\(35\) | −0.166404 | + | 0.288220i | −0.0281274 | + | 0.0487180i | ||||
\(36\) | 0.500000 | + | 0.866025i | 0.0833333 | + | 0.144338i | ||||
\(37\) | 0.499211 | − | 0.288220i | 0.0820699 | − | 0.0473831i | −0.458403 | − | 0.888744i | \(-0.651579\pi\) |
0.540473 | + | 0.841361i | \(0.318245\pi\) | |||||||
\(38\) | −5.61181 | −0.910356 | ||||||||
\(39\) | 2.71652 | + | 2.37076i | 0.434991 | + | 0.379626i | ||||
\(40\) | 0.332808 | 0.0526215 | ||||||||
\(41\) | 0.451251 | − | 0.260530i | 0.0704735 | − | 0.0406879i | −0.464349 | − | 0.885652i | \(-0.653712\pi\) |
0.534823 | + | 0.844964i | \(0.320378\pi\) | |||||||
\(42\) | 0.500000 | + | 0.866025i | 0.0771517 | + | 0.133631i | ||||
\(43\) | 1.53717 | − | 2.66245i | 0.234416 | − | 0.406020i | −0.724687 | − | 0.689078i | \(-0.758016\pi\) |
0.959103 | + | 0.283058i | \(0.0913489\pi\) | |||||||
\(44\) | − | 2.61023i | − | 0.393508i | ||||||
\(45\) | 0.288220 | + | 0.166404i | 0.0429653 | + | 0.0248060i | ||||
\(46\) | −3.64819 | − | 2.10628i | −0.537896 | − | 0.310555i | ||||
\(47\) | 12.0528i | 1.75807i | 0.476753 | + | 0.879037i | \(0.341814\pi\) | ||||
−0.476753 | + | 0.879037i | \(0.658186\pi\) | |||||||
\(48\) | 0.500000 | − | 0.866025i | 0.0721688 | − | 0.125000i | ||||
\(49\) | 0.500000 | + | 0.866025i | 0.0714286 | + | 0.123718i | ||||
\(50\) | −4.23421 | + | 2.44462i | −0.598807 | + | 0.345721i | ||||
\(51\) | −3.88766 | −0.544382 | ||||||||
\(52\) | 0.694883 | − | 3.53796i | 0.0963629 | − | 0.490626i | ||||
\(53\) | −9.71047 | −1.33384 | −0.666918 | − | 0.745132i | \(-0.732387\pi\) | ||||
−0.666918 | + | 0.745132i | \(0.732387\pi\) | |||||||
\(54\) | 0.866025 | − | 0.500000i | 0.117851 | − | 0.0680414i | ||||
\(55\) | −0.434353 | − | 0.752321i | −0.0585681 | − | 0.101443i | ||||
\(56\) | 0.500000 | − | 0.866025i | 0.0668153 | − | 0.115728i | ||||
\(57\) | 5.61181i | 0.743303i | ||||||||
\(58\) | −1.02769 | − | 0.593337i | −0.134942 | − | 0.0779090i | ||||
\(59\) | 9.07175 | + | 5.23758i | 1.18104 | + | 0.681875i | 0.956255 | − | 0.292533i | \(-0.0944983\pi\) |
0.224786 | + | 0.974408i | \(0.427832\pi\) | |||||||
\(60\) | − | 0.332808i | − | 0.0429653i | ||||||
\(61\) | −3.71989 | + | 6.44304i | −0.476283 | + | 0.824947i | −0.999631 | − | 0.0271724i | \(-0.991350\pi\) |
0.523347 | + | 0.852119i | \(0.324683\pi\) | |||||||
\(62\) | 3.53717 | + | 6.12656i | 0.449221 | + | 0.778073i | ||||
\(63\) | 0.866025 | − | 0.500000i | 0.109109 | − | 0.0629941i | ||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | −0.388451 | − | 1.13534i | −0.0481814 | − | 0.140822i | ||||
\(66\) | −2.61023 | −0.321298 | ||||||||
\(67\) | 10.3233 | − | 5.96015i | 1.26119 | − | 0.728148i | 0.287885 | − | 0.957665i | \(-0.407048\pi\) |
0.973305 | + | 0.229517i | \(0.0737145\pi\) | |||||||
\(68\) | 1.94383 | + | 3.36681i | 0.235724 | + | 0.408286i | ||||
\(69\) | −2.10628 | + | 3.64819i | −0.253567 | + | 0.439191i | ||||
\(70\) | − | 0.332808i | − | 0.0397781i | ||||||
\(71\) | −0.818065 | − | 0.472310i | −0.0970864 | − | 0.0560529i | 0.450671 | − | 0.892690i | \(-0.351185\pi\) |
−0.547757 | + | 0.836637i | \(0.684518\pi\) | |||||||
\(72\) | −0.866025 | − | 0.500000i | −0.102062 | − | 0.0589256i | ||||
\(73\) | 4.66562i | 0.546069i | 0.962004 | + | 0.273034i | \(0.0880273\pi\) | ||||
−0.962004 | + | 0.273034i | \(0.911973\pi\) | |||||||
\(74\) | −0.288220 | + | 0.499211i | −0.0335049 | + | 0.0580321i | ||||
\(75\) | 2.44462 | + | 4.23421i | 0.282280 | + | 0.488924i | ||||
\(76\) | 4.85997 | − | 2.80591i | 0.557477 | − | 0.321859i | ||||
\(77\) | −2.61023 | −0.297464 | ||||||||
\(78\) | −3.53796 | − | 0.694883i | −0.400595 | − | 0.0786800i | ||||
\(79\) | −0.943042 | −0.106101 | −0.0530503 | − | 0.998592i | \(-0.516894\pi\) | ||||
−0.0530503 | + | 0.998592i | \(0.516894\pi\) | |||||||
\(80\) | −0.288220 | + | 0.166404i | −0.0322240 | + | 0.0186045i | ||||
\(81\) | −0.500000 | − | 0.866025i | −0.0555556 | − | 0.0962250i | ||||
\(82\) | −0.260530 | + | 0.451251i | −0.0287707 | + | 0.0498323i | ||||
\(83\) | − | 13.7172i | − | 1.50566i | −0.658215 | − | 0.752830i | \(-0.728688\pi\) | ||
0.658215 | − | 0.752830i | \(-0.271312\pi\) | |||||||
\(84\) | −0.866025 | − | 0.500000i | −0.0944911 | − | 0.0545545i | ||||
\(85\) | 1.12050 | + | 0.646922i | 0.121535 | + | 0.0701685i | ||||
\(86\) | 3.07434i | 0.331514i | ||||||||
\(87\) | −0.593337 | + | 1.02769i | −0.0636124 | + | 0.110180i | ||||
\(88\) | 1.30512 | + | 2.26053i | 0.139126 | + | 0.240973i | ||||
\(89\) | 2.92741 | − | 1.69014i | 0.310305 | − | 0.179155i | −0.336758 | − | 0.941591i | \(-0.609330\pi\) |
0.647063 | + | 0.762436i | \(0.275997\pi\) | |||||||
\(90\) | −0.332808 | −0.0350810 | ||||||||
\(91\) | −3.53796 | − | 0.694883i | −0.370879 | − | 0.0728435i | ||||
\(92\) | 4.21257 | 0.439191 | ||||||||
\(93\) | 6.12656 | − | 3.53717i | 0.635294 | − | 0.366787i | ||||
\(94\) | −6.02638 | − | 10.4380i | −0.621573 | − | 1.07660i | ||||
\(95\) | 0.933827 | − | 1.61744i | 0.0958086 | − | 0.165945i | ||||
\(96\) | 1.00000i | 0.102062i | ||||||||
\(97\) | −5.03669 | − | 2.90793i | −0.511398 | − | 0.295256i | 0.222010 | − | 0.975044i | \(-0.428738\pi\) |
−0.733408 | + | 0.679789i | \(0.762072\pi\) | |||||||
\(98\) | −0.866025 | − | 0.500000i | −0.0874818 | − | 0.0505076i | ||||
\(99\) | 2.61023i | 0.262338i | ||||||||
\(100\) | 2.44462 | − | 4.23421i | 0.244462 | − | 0.423421i | ||||
\(101\) | −7.98516 | − | 13.8307i | −0.794553 | − | 1.37621i | −0.923122 | − | 0.384506i | \(-0.874372\pi\) |
0.128569 | − | 0.991701i | \(-0.458962\pi\) | |||||||
\(102\) | 3.36681 | − | 1.94383i | 0.333364 | − | 0.192468i | ||||
\(103\) | −7.50641 | −0.739629 | −0.369814 | − | 0.929106i | \(-0.620579\pi\) | ||||
−0.369814 | + | 0.929106i | \(0.620579\pi\) | |||||||
\(104\) | 1.16719 | + | 3.41140i | 0.114453 | + | 0.334515i | ||||
\(105\) | −0.332808 | −0.0324787 | ||||||||
\(106\) | 8.40951 | − | 4.85523i | 0.816804 | − | 0.471582i | ||||
\(107\) | −4.32539 | − | 7.49179i | −0.418151 | − | 0.724259i | 0.577602 | − | 0.816318i | \(-0.303988\pi\) |
−0.995754 | + | 0.0920593i | \(0.970655\pi\) | |||||||
\(108\) | −0.500000 | + | 0.866025i | −0.0481125 | + | 0.0833333i | ||||
\(109\) | − | 18.6144i | − | 1.78293i | −0.453088 | − | 0.891466i | \(-0.649678\pi\) | ||
0.453088 | − | 0.891466i | \(-0.350322\pi\) | |||||||
\(110\) | 0.752321 | + | 0.434353i | 0.0717310 | + | 0.0414139i | ||||
\(111\) | 0.499211 | + | 0.288220i | 0.0473831 | + | 0.0273566i | ||||
\(112\) | 1.00000i | 0.0944911i | ||||||||
\(113\) | −4.57512 | + | 7.92435i | −0.430392 | + | 0.745460i | −0.996907 | − | 0.0785911i | \(-0.974958\pi\) |
0.566515 | + | 0.824051i | \(0.308291\pi\) | |||||||
\(114\) | −2.80591 | − | 4.85997i | −0.262797 | − | 0.455178i | ||||
\(115\) | 1.21415 | − | 0.700987i | 0.113220 | − | 0.0653674i | ||||
\(116\) | 1.18667 | 0.110180 | ||||||||
\(117\) | −0.694883 | + | 3.53796i | −0.0642419 | + | 0.327084i | ||||
\(118\) | −10.4752 | −0.964316 | ||||||||
\(119\) | 3.36681 | − | 1.94383i | 0.308635 | − | 0.178191i | ||||
\(120\) | 0.166404 | + | 0.288220i | 0.0151905 | + | 0.0263108i | ||||
\(121\) | −2.09334 | + | 3.62577i | −0.190303 | + | 0.329615i | ||||
\(122\) | − | 7.43978i | − | 0.673566i | ||||||
\(123\) | 0.451251 | + | 0.260530i | 0.0406879 | + | 0.0234912i | ||||
\(124\) | −6.12656 | − | 3.53717i | −0.550181 | − | 0.317647i | ||||
\(125\) | − | 3.29121i | − | 0.294375i | ||||||
\(126\) | −0.500000 | + | 0.866025i | −0.0445435 | + | 0.0771517i | ||||
\(127\) | 3.38977 | + | 5.87125i | 0.300793 | + | 0.520989i | 0.976316 | − | 0.216350i | \(-0.0694153\pi\) |
−0.675523 | + | 0.737339i | \(0.736082\pi\) | |||||||
\(128\) | 0.866025 | − | 0.500000i | 0.0765466 | − | 0.0441942i | ||||
\(129\) | 3.07434 | 0.270680 | ||||||||
\(130\) | 0.904078 | + | 0.789008i | 0.0792929 | + | 0.0692006i | ||||
\(131\) | 7.22879 | 0.631583 | 0.315791 | − | 0.948829i | \(-0.397730\pi\) | ||||
0.315791 | + | 0.948829i | \(0.397730\pi\) | |||||||
\(132\) | 2.26053 | − | 1.30512i | 0.196754 | − | 0.113596i | ||||
\(133\) | −2.80591 | − | 4.85997i | −0.243303 | − | 0.421413i | ||||
\(134\) | −5.96015 | + | 10.3233i | −0.514879 | + | 0.891796i | ||||
\(135\) | 0.332808i | 0.0286435i | ||||||||
\(136\) | −3.36681 | − | 1.94383i | −0.288702 | − | 0.166682i | ||||
\(137\) | −10.2964 | − | 5.94462i | −0.879679 | − | 0.507883i | −0.00912669 | − | 0.999958i | \(-0.502905\pi\) |
−0.870553 | + | 0.492075i | \(0.836238\pi\) | |||||||
\(138\) | − | 4.21257i | − | 0.358598i | ||||||
\(139\) | −7.16056 | + | 12.4025i | −0.607351 | + | 1.05196i | 0.384324 | + | 0.923198i | \(0.374434\pi\) |
−0.991675 | + | 0.128764i | \(0.958899\pi\) | |||||||
\(140\) | 0.166404 | + | 0.288220i | 0.0140637 | + | 0.0243590i | ||||
\(141\) | −10.4380 | + | 6.02638i | −0.879037 | + | 0.507512i | ||||
\(142\) | 0.944620 | 0.0792707 | ||||||||
\(143\) | 6.18825 | − | 7.09075i | 0.517488 | − | 0.592959i | ||||
\(144\) | 1.00000 | 0.0833333 | ||||||||
\(145\) | 0.342023 | − | 0.197467i | 0.0284035 | − | 0.0163988i | ||||
\(146\) | −2.33281 | − | 4.04054i | −0.193065 | − | 0.334398i | ||||
\(147\) | −0.500000 | + | 0.866025i | −0.0412393 | + | 0.0714286i | ||||
\(148\) | − | 0.576440i | − | 0.0473831i | ||||||
\(149\) | −5.24548 | − | 3.02848i | −0.429726 | − | 0.248103i | 0.269504 | − | 0.962999i | \(-0.413140\pi\) |
−0.699230 | + | 0.714897i | \(0.746474\pi\) | |||||||
\(150\) | −4.23421 | − | 2.44462i | −0.345721 | − | 0.199602i | ||||
\(151\) | − | 21.4953i | − | 1.74926i | −0.484791 | − | 0.874630i | \(-0.661104\pi\) | ||
0.484791 | − | 0.874630i | \(-0.338896\pi\) | |||||||
\(152\) | −2.80591 | + | 4.85997i | −0.227589 | + | 0.394196i | ||||
\(153\) | −1.94383 | − | 3.36681i | −0.157149 | − | 0.272191i | ||||
\(154\) | 2.26053 | − | 1.30512i | 0.182159 | − | 0.105169i | ||||
\(155\) | −2.35439 | −0.189109 | ||||||||
\(156\) | 3.41140 | − | 1.16719i | 0.273131 | − | 0.0934502i | ||||
\(157\) | 2.29227 | 0.182943 | 0.0914714 | − | 0.995808i | \(-0.470843\pi\) | ||||
0.0914714 | + | 0.995808i | \(0.470843\pi\) | |||||||
\(158\) | 0.816699 | − | 0.471521i | 0.0649731 | − | 0.0375122i | ||||
\(159\) | −4.85523 | − | 8.40951i | −0.385045 | − | 0.666918i | ||||
\(160\) | 0.166404 | − | 0.288220i | 0.0131554 | − | 0.0227858i | ||||
\(161\) | − | 4.21257i | − | 0.331997i | ||||||
\(162\) | 0.866025 | + | 0.500000i | 0.0680414 | + | 0.0392837i | ||||
\(163\) | 2.89314 | + | 1.67035i | 0.226608 | + | 0.130832i | 0.609006 | − | 0.793165i | \(-0.291568\pi\) |
−0.382398 | + | 0.923998i | \(0.624902\pi\) | |||||||
\(164\) | − | 0.521059i | − | 0.0406879i | ||||||
\(165\) | 0.434353 | − | 0.752321i | 0.0338143 | − | 0.0585681i | ||||
\(166\) | 6.85861 | + | 11.8795i | 0.532331 | + | 0.922024i | ||||
\(167\) | 5.57802 | − | 3.22047i | 0.431640 | − | 0.249207i | −0.268405 | − | 0.963306i | \(-0.586497\pi\) |
0.700045 | + | 0.714099i | \(0.253163\pi\) | |||||||
\(168\) | 1.00000 | 0.0771517 | ||||||||
\(169\) | 10.2753 | − | 7.96352i | 0.790410 | − | 0.612579i | ||||
\(170\) | −1.29384 | −0.0992333 | ||||||||
\(171\) | −4.85997 | + | 2.80591i | −0.371651 | + | 0.214573i | ||||
\(172\) | −1.53717 | − | 2.66245i | −0.117208 | − | 0.203010i | ||||
\(173\) | −9.30718 | + | 16.1205i | −0.707611 | + | 1.22562i | 0.258129 | + | 0.966110i | \(0.416894\pi\) |
−0.965741 | + | 0.259509i | \(0.916439\pi\) | |||||||
\(174\) | − | 1.18667i | − | 0.0899616i | ||||||
\(175\) | −4.23421 | − | 2.44462i | −0.320076 | − | 0.184796i | ||||
\(176\) | −2.26053 | − | 1.30512i | −0.170394 | − | 0.0983769i | ||||
\(177\) | 10.4752i | 0.787361i | ||||||||
\(178\) | −1.69014 | + | 2.92741i | −0.126682 | + | 0.219419i | ||||
\(179\) | −11.1081 | − | 19.2398i | −0.830261 | − | 1.43805i | −0.897831 | − | 0.440339i | \(-0.854858\pi\) |
0.0675707 | − | 0.997714i | \(-0.478475\pi\) | |||||||
\(180\) | 0.288220 | − | 0.166404i | 0.0214826 | − | 0.0124030i | ||||
\(181\) | −4.05853 | −0.301669 | −0.150834 | − | 0.988559i | \(-0.548196\pi\) | ||||
−0.150834 | + | 0.988559i | \(0.548196\pi\) | |||||||
\(182\) | 3.41140 | − | 1.16719i | 0.252870 | − | 0.0865181i | ||||
\(183\) | −7.43978 | −0.549965 | ||||||||
\(184\) | −3.64819 | + | 2.10628i | −0.268948 | + | 0.155277i | ||||
\(185\) | −0.0959218 | − | 0.166141i | −0.00705231 | − | 0.0122150i | ||||
\(186\) | −3.53717 | + | 6.12656i | −0.259358 | + | 0.449221i | ||||
\(187\) | 10.1477i | 0.742074i | ||||||||
\(188\) | 10.4380 | + | 6.02638i | 0.761269 | + | 0.439519i | ||||
\(189\) | 0.866025 | + | 0.500000i | 0.0629941 | + | 0.0363696i | ||||
\(190\) | 1.86765i | 0.135494i | ||||||||
\(191\) | 5.86018 | − | 10.1501i | 0.424028 | − | 0.734438i | −0.572301 | − | 0.820044i | \(-0.693949\pi\) |
0.996329 | + | 0.0856056i | \(0.0272825\pi\) | |||||||
\(192\) | −0.500000 | − | 0.866025i | −0.0360844 | − | 0.0625000i | ||||
\(193\) | −20.6123 | + | 11.9005i | −1.48371 | + | 0.856618i | −0.999829 | − | 0.0185185i | \(-0.994105\pi\) |
−0.483877 | + | 0.875136i | \(0.660772\pi\) | |||||||
\(194\) | 5.81587 | 0.417555 | ||||||||
\(195\) | 0.789008 | − | 0.904078i | 0.0565021 | − | 0.0647424i | ||||
\(196\) | 1.00000 | 0.0714286 | ||||||||
\(197\) | 8.73184 | − | 5.04133i | 0.622118 | − | 0.359180i | −0.155575 | − | 0.987824i | \(-0.549723\pi\) |
0.777693 | + | 0.628644i | \(0.216390\pi\) | |||||||
\(198\) | −1.30512 | − | 2.26053i | −0.0927507 | − | 0.160649i | ||||
\(199\) | 6.92504 | − | 11.9945i | 0.490903 | − | 0.850269i | −0.509042 | − | 0.860742i | \(-0.670000\pi\) |
0.999945 | + | 0.0104725i | \(0.00333355\pi\) | |||||||
\(200\) | 4.88924i | 0.345721i | ||||||||
\(201\) | 10.3233 | + | 5.96015i | 0.728148 | + | 0.420397i | ||||
\(202\) | 13.8307 | + | 7.98516i | 0.973125 | + | 0.561834i | ||||
\(203\) | − | 1.18667i | − | 0.0832882i | ||||||
\(204\) | −1.94383 | + | 3.36681i | −0.136095 | + | 0.235724i | ||||
\(205\) | −0.0867062 | − | 0.150180i | −0.00605583 | − | 0.0104890i | ||||
\(206\) | 6.50074 | − | 3.75321i | 0.452928 | − | 0.261498i | ||||
\(207\) | −4.21257 | −0.292794 | ||||||||
\(208\) | −2.71652 | − | 2.37076i | −0.188357 | − | 0.164383i | ||||
\(209\) | 14.6481 | 1.01323 | ||||||||
\(210\) | 0.288220 | − | 0.166404i | 0.0198891 | − | 0.0114830i | ||||
\(211\) | −2.27743 | − | 3.94462i | −0.156785 | − | 0.271559i | 0.776923 | − | 0.629596i | \(-0.216779\pi\) |
−0.933707 | + | 0.358037i | \(0.883446\pi\) | |||||||
\(212\) | −4.85523 | + | 8.40951i | −0.333459 | + | 0.577568i | ||||
\(213\) | − | 0.944620i | − | 0.0647243i | ||||||
\(214\) | 7.49179 | + | 4.32539i | 0.512128 | + | 0.295677i | ||||
\(215\) | −0.886085 | − | 0.511581i | −0.0604305 | − | 0.0348896i | ||||
\(216\) | − | 1.00000i | − | 0.0680414i | ||||||
\(217\) | −3.53717 | + | 6.12656i | −0.240119 | + | 0.415898i | ||||
\(218\) | 9.30718 | + | 16.1205i | 0.630361 | + | 1.09182i | ||||
\(219\) | −4.04054 | + | 2.33281i | −0.273034 | + | 0.157637i | ||||
\(220\) | −0.868706 | −0.0585681 | ||||||||
\(221\) | −2.70147 | + | 13.7544i | −0.181720 | + | 0.925220i | ||||
\(222\) | −0.576440 | −0.0386881 | ||||||||
\(223\) | −7.30359 | + | 4.21673i | −0.489085 | + | 0.282373i | −0.724195 | − | 0.689596i | \(-0.757788\pi\) |
0.235110 | + | 0.971969i | \(0.424455\pi\) | |||||||
\(224\) | −0.500000 | − | 0.866025i | −0.0334077 | − | 0.0578638i | ||||
\(225\) | −2.44462 | + | 4.23421i | −0.162975 | + | 0.282280i | ||||
\(226\) | − | 9.15025i | − | 0.608666i | ||||||
\(227\) | 24.2394 | + | 13.9946i | 1.60883 | + | 0.928857i | 0.989633 | + | 0.143619i | \(0.0458739\pi\) |
0.619194 | + | 0.785238i | \(0.287459\pi\) | |||||||
\(228\) | 4.85997 | + | 2.80591i | 0.321859 | + | 0.185826i | ||||
\(229\) | 28.7785i | 1.90174i | 0.309598 | + | 0.950868i | \(0.399806\pi\) | ||||
−0.309598 | + | 0.950868i | \(0.600194\pi\) | |||||||
\(230\) | −0.700987 | + | 1.21415i | −0.0462217 | + | 0.0800584i | ||||
\(231\) | −1.30512 | − | 2.26053i | −0.0858704 | − | 0.148732i | ||||
\(232\) | −1.02769 | + | 0.593337i | −0.0674712 | + | 0.0389545i | ||||
\(233\) | −18.8877 | −1.23737 | −0.618686 | − | 0.785638i | \(-0.712335\pi\) | ||||
−0.618686 | + | 0.785638i | \(0.712335\pi\) | |||||||
\(234\) | −1.16719 | − | 3.41140i | −0.0763018 | − | 0.223010i | ||||
\(235\) | 4.01125 | 0.261665 | ||||||||
\(236\) | 9.07175 | − | 5.23758i | 0.590521 | − | 0.340937i | ||||
\(237\) | −0.471521 | − | 0.816699i | −0.0306286 | − | 0.0530503i | ||||
\(238\) | −1.94383 | + | 3.36681i | −0.126000 | + | 0.218238i | ||||
\(239\) | − | 11.0933i | − | 0.717565i | −0.933421 | − | 0.358783i | \(-0.883192\pi\) | ||
0.933421 | − | 0.358783i | \(-0.116808\pi\) | |||||||
\(240\) | −0.288220 | − | 0.166404i | −0.0186045 | − | 0.0107413i | ||||
\(241\) | −7.02686 | − | 4.05696i | −0.452640 | − | 0.261332i | 0.256305 | − | 0.966596i | \(-0.417495\pi\) |
−0.708944 | + | 0.705264i | \(0.750828\pi\) | |||||||
\(242\) | − | 4.18667i | − | 0.269130i | ||||||
\(243\) | 0.500000 | − | 0.866025i | 0.0320750 | − | 0.0555556i | ||||
\(244\) | 3.71989 | + | 6.44304i | 0.238142 | + | 0.412474i | ||||
\(245\) | 0.288220 | − | 0.166404i | 0.0184137 | − | 0.0106311i | ||||
\(246\) | −0.521059 | −0.0332215 | ||||||||
\(247\) | 19.8543 | + | 3.89955i | 1.26330 | + | 0.248122i | ||||
\(248\) | 7.07434 | 0.449221 | ||||||||
\(249\) | 11.8795 | − | 6.85861i | 0.752830 | − | 0.434646i | ||||
\(250\) | 1.64561 | + | 2.85027i | 0.104077 | + | 0.180267i | ||||
\(251\) | −1.58465 | + | 2.74469i | −0.100022 | + | 0.173243i | −0.911694 | − | 0.410871i | \(-0.865225\pi\) |
0.811671 | + | 0.584114i | \(0.198558\pi\) | |||||||
\(252\) | − | 1.00000i | − | 0.0629941i | ||||||
\(253\) | 9.52264 | + | 5.49790i | 0.598683 | + | 0.345650i | ||||
\(254\) | −5.87125 | − | 3.38977i | −0.368395 | − | 0.212693i | ||||
\(255\) | 1.29384i | 0.0810236i | ||||||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −0.0967103 | − | 0.167507i | −0.00603263 | − | 0.0104488i | 0.862993 | − | 0.505215i | \(-0.168587\pi\) |
−0.869026 | + | 0.494766i | \(0.835254\pi\) | |||||||
\(258\) | −2.66245 | + | 1.53717i | −0.165757 | + | 0.0956999i | ||||
\(259\) | −0.576440 | −0.0358182 | ||||||||
\(260\) | −1.17746 | − | 0.231262i | −0.0730229 | − | 0.0143423i | ||||
\(261\) | −1.18667 | −0.0734533 | ||||||||
\(262\) | −6.26032 | + | 3.61440i | −0.386764 | + | 0.223298i | ||||
\(263\) | −6.02185 | − | 10.4301i | −0.371323 | − | 0.643150i | 0.618446 | − | 0.785827i | \(-0.287762\pi\) |
−0.989769 | + | 0.142677i | \(0.954429\pi\) | |||||||
\(264\) | −1.30512 | + | 2.26053i | −0.0803244 | + | 0.139126i | ||||
\(265\) | 3.23172i | 0.198523i | ||||||||
\(266\) | 4.85997 | + | 2.80591i | 0.297984 | + | 0.172041i | ||||
\(267\) | 2.92741 | + | 1.69014i | 0.179155 | + | 0.103435i | ||||
\(268\) | − | 11.9203i | − | 0.728148i | ||||||
\(269\) | −8.60487 | + | 14.9041i | −0.524648 | + | 0.908718i | 0.474940 | + | 0.880018i | \(0.342470\pi\) |
−0.999588 | + | 0.0286993i | \(0.990863\pi\) | |||||||
\(270\) | −0.166404 | − | 0.288220i | −0.0101270 | − | 0.0175405i | ||||
\(271\) | −14.8453 | + | 8.57096i | −0.901790 | + | 0.520649i | −0.877781 | − | 0.479063i | \(-0.840977\pi\) |
−0.0240098 | + | 0.999712i | \(0.507643\pi\) | |||||||
\(272\) | 3.88766 | 0.235724 | ||||||||
\(273\) | −1.16719 | − | 3.41140i | −0.0706417 | − | 0.206467i | ||||
\(274\) | 11.8892 | 0.718255 | ||||||||
\(275\) | 11.0523 | − | 6.38103i | 0.666477 | − | 0.384791i | ||||
\(276\) | 2.10628 | + | 3.64819i | 0.126783 | + | 0.219595i | ||||
\(277\) | −7.85660 | + | 13.6080i | −0.472057 | + | 0.817627i | −0.999489 | − | 0.0319704i | \(-0.989822\pi\) |
0.527432 | + | 0.849598i | \(0.323155\pi\) | |||||||
\(278\) | − | 14.3211i | − | 0.858924i | ||||||
\(279\) | 6.12656 | + | 3.53717i | 0.366787 | + | 0.211765i | ||||
\(280\) | −0.288220 | − | 0.166404i | −0.0172244 | − | 0.00994453i | ||||
\(281\) | 4.07337i | 0.242997i | 0.992592 | + | 0.121499i | \(0.0387700\pi\) | ||||
−0.992592 | + | 0.121499i | \(0.961230\pi\) | |||||||
\(282\) | 6.02638 | − | 10.4380i | 0.358865 | − | 0.621573i | ||||
\(283\) | 10.7674 | + | 18.6497i | 0.640057 | + | 1.10861i | 0.985420 | + | 0.170142i | \(0.0544226\pi\) |
−0.345363 | + | 0.938469i | \(0.612244\pi\) | |||||||
\(284\) | −0.818065 | + | 0.472310i | −0.0485432 | + | 0.0280264i | ||||
\(285\) | 1.86765 | 0.110630 | ||||||||
\(286\) | −1.81381 | + | 9.23490i | −0.107253 | + | 0.546071i | ||||
\(287\) | −0.521059 | −0.0307572 | ||||||||
\(288\) | −0.866025 | + | 0.500000i | −0.0510310 | + | 0.0294628i | ||||
\(289\) | 0.943042 | + | 1.63340i | 0.0554731 | + | 0.0960822i | ||||
\(290\) | −0.197467 | + | 0.342023i | −0.0115957 | + | 0.0200843i | ||||
\(291\) | − | 5.81587i | − | 0.340932i | ||||||
\(292\) | 4.04054 | + | 2.33281i | 0.236455 | + | 0.136517i | ||||
\(293\) | 0.152457 | + | 0.0880210i | 0.00890662 | + | 0.00514224i | 0.504447 | − | 0.863443i | \(-0.331697\pi\) |
−0.495540 | + | 0.868585i | \(0.665030\pi\) | |||||||
\(294\) | − | 1.00000i | − | 0.0583212i | ||||||
\(295\) | 1.74311 | − | 3.01915i | 0.101488 | − | 0.175782i | ||||
\(296\) | 0.288220 | + | 0.499211i | 0.0167524 | + | 0.0290161i | ||||
\(297\) | −2.26053 | + | 1.30512i | −0.131169 | + | 0.0757306i | ||||
\(298\) | 6.05696 | 0.350870 | ||||||||
\(299\) | 11.4435 | + | 9.98701i | 0.661796 | + | 0.577564i | ||||
\(300\) | 4.88924 | 0.282280 | ||||||||
\(301\) | −2.66245 | + | 1.53717i | −0.153461 | + | 0.0886009i | ||||
\(302\) | 10.7476 | + | 18.6154i | 0.618457 | + | 1.07120i | ||||
\(303\) | 7.98516 | − | 13.8307i | 0.458736 | − | 0.794553i | ||||
\(304\) | − | 5.61181i | − | 0.321859i | ||||||
\(305\) | 2.14429 | + | 1.23801i | 0.122782 | + | 0.0708882i | ||||
\(306\) | 3.36681 | + | 1.94383i | 0.192468 | + | 0.111121i | ||||
\(307\) | 20.7405i | 1.18372i | 0.806040 | + | 0.591861i | \(0.201606\pi\) | ||||
−0.806040 | + | 0.591861i | \(0.798394\pi\) | |||||||
\(308\) | −1.30512 | + | 2.26053i | −0.0743660 | + | 0.128806i | ||||
\(309\) | −3.75321 | − | 6.50074i | −0.213512 | − | 0.369814i | ||||
\(310\) | 2.03896 | − | 1.17720i | 0.115805 | − | 0.0668603i | ||||
\(311\) | 10.9678 | 0.621926 | 0.310963 | − | 0.950422i | \(-0.399348\pi\) | ||||
0.310963 | + | 0.950422i | \(0.399348\pi\) | |||||||
\(312\) | −2.37076 | + | 2.71652i | −0.134218 | + | 0.153793i | ||||
\(313\) | 16.2189 | 0.916746 | 0.458373 | − | 0.888760i | \(-0.348432\pi\) | ||||
0.458373 | + | 0.888760i | \(0.348432\pi\) | |||||||
\(314\) | −1.98516 | + | 1.14613i | −0.112029 | + | 0.0646800i | ||||
\(315\) | −0.166404 | − | 0.288220i | −0.00937579 | − | 0.0162393i | ||||
\(316\) | −0.471521 | + | 0.816699i | −0.0265251 | + | 0.0459429i | ||||
\(317\) | − | 10.5358i | − | 0.591750i | −0.955227 | − | 0.295875i | \(-0.904389\pi\) | ||
0.955227 | − | 0.295875i | \(-0.0956112\pi\) | |||||||
\(318\) | 8.40951 | + | 4.85523i | 0.471582 | + | 0.272268i | ||||
\(319\) | 2.68251 | + | 1.54875i | 0.150192 | + | 0.0867133i | ||||
\(320\) | 0.332808i | 0.0186045i | ||||||||
\(321\) | 4.32539 | − | 7.49179i | 0.241420 | − | 0.418151i | ||||
\(322\) | 2.10628 | + | 3.64819i | 0.117379 | + | 0.203306i | ||||
\(323\) | −18.8939 | + | 10.9084i | −1.05129 | + | 0.606960i | ||||
\(324\) | −1.00000 | −0.0555556 | ||||||||
\(325\) | 16.6792 | − | 5.70668i | 0.925193 | − | 0.316550i | ||||
\(326\) | −3.34071 | −0.185025 | ||||||||
\(327\) | 16.1205 | − | 9.30718i | 0.891466 | − | 0.514688i | ||||
\(328\) | 0.260530 | + | 0.451251i | 0.0143853 | + | 0.0249161i | ||||
\(329\) | 6.02638 | − | 10.4380i | 0.332245 | − | 0.575465i | ||||
\(330\) | 0.868706i | 0.0478207i | ||||||||
\(331\) | −13.9687 | − | 8.06486i | −0.767792 | − | 0.443285i | 0.0642946 | − | 0.997931i | \(-0.479520\pi\) |
−0.832086 | + | 0.554646i | \(0.812854\pi\) | |||||||
\(332\) | −11.8795 | − | 6.85861i | −0.651970 | − | 0.376415i | ||||
\(333\) | 0.576440i | 0.0315887i | ||||||||
\(334\) | −3.22047 | + | 5.57802i | −0.176216 | + | 0.305216i | ||||
\(335\) | −1.98358 | − | 3.43567i | −0.108375 | − | 0.187711i | ||||
\(336\) | −0.866025 | + | 0.500000i | −0.0472456 | + | 0.0272772i | ||||
\(337\) | 1.78785 | 0.0973906 | 0.0486953 | − | 0.998814i | \(-0.484494\pi\) | ||||
0.0486953 | + | 0.998814i | \(0.484494\pi\) | |||||||
\(338\) | −4.91693 | + | 12.0343i | −0.267446 | + | 0.654578i | ||||
\(339\) | −9.15025 | −0.496973 | ||||||||
\(340\) | 1.12050 | − | 0.646922i | 0.0607677 | − | 0.0350843i | ||||
\(341\) | −9.23284 | − | 15.9917i | −0.499986 | − | 0.866002i | ||||
\(342\) | 2.80591 | − | 4.85997i | 0.151726 | − | 0.262797i | ||||
\(343\) | − | 1.00000i | − | 0.0539949i | ||||||
\(344\) | 2.66245 | + | 1.53717i | 0.143550 | + | 0.0828786i | ||||
\(345\) | 1.21415 | + | 0.700987i | 0.0653674 | + | 0.0377399i | ||||
\(346\) | − | 18.6144i | − | 1.00071i | ||||||
\(347\) | −12.7030 | + | 22.0023i | −0.681935 | + | 1.18115i | 0.292454 | + | 0.956280i | \(0.405528\pi\) |
−0.974389 | + | 0.224867i | \(0.927805\pi\) | |||||||
\(348\) | 0.593337 | + | 1.02769i | 0.0318062 | + | 0.0550900i | ||||
\(349\) | −24.5419 | + | 14.1693i | −1.31370 | + | 0.758463i | −0.982706 | − | 0.185172i | \(-0.940716\pi\) |
−0.330990 | + | 0.943634i | \(0.607383\pi\) | |||||||
\(350\) | 4.88924 | 0.261341 | ||||||||
\(351\) | −3.41140 | + | 1.16719i | −0.182087 | + | 0.0623001i | ||||
\(352\) | 2.61023 | 0.139126 | ||||||||
\(353\) | −1.69146 | + | 0.976568i | −0.0900276 | + | 0.0519774i | −0.544338 | − | 0.838866i | \(-0.683219\pi\) |
0.454310 | + | 0.890843i | \(0.349886\pi\) | |||||||
\(354\) | −5.23758 | − | 9.07175i | −0.278374 | − | 0.482158i | ||||
\(355\) | −0.157188 | + | 0.272258i | −0.00834269 | + | 0.0144500i | ||||
\(356\) | − | 3.38029i | − | 0.179155i | ||||||
\(357\) | 3.36681 | + | 1.94383i | 0.178191 | + | 0.102878i | ||||
\(358\) | 19.2398 | + | 11.1081i | 1.01686 | + | 0.587083i | ||||
\(359\) | − | 27.6565i | − | 1.45965i | −0.683633 | − | 0.729826i | \(-0.739601\pi\) | ||
0.683633 | − | 0.729826i | \(-0.260399\pi\) | |||||||
\(360\) | −0.166404 | + | 0.288220i | −0.00877025 | + | 0.0151905i | ||||
\(361\) | 6.24622 | + | 10.8188i | 0.328748 | + | 0.569409i | ||||
\(362\) | 3.51479 | − | 2.02927i | 0.184733 | − | 0.106656i | ||||
\(363\) | −4.18667 | −0.219743 | ||||||||
\(364\) | −2.37076 | + | 2.71652i | −0.124262 | + | 0.142384i | ||||
\(365\) | 1.55275 | 0.0812748 | ||||||||
\(366\) | 6.44304 | − | 3.71989i | 0.336783 | − | 0.194442i | ||||
\(367\) | −2.87888 | − | 4.98636i | −0.150276 | − | 0.260286i | 0.781053 | − | 0.624465i | \(-0.214683\pi\) |
−0.931329 | + | 0.364179i | \(0.881350\pi\) | |||||||
\(368\) | 2.10628 | − | 3.64819i | 0.109798 | − | 0.190175i | ||||
\(369\) | 0.521059i | 0.0271253i | ||||||||
\(370\) | 0.166141 | + | 0.0959218i | 0.00863728 | + | 0.00498673i | ||||
\(371\) | 8.40951 | + | 4.85523i | 0.436600 | + | 0.252071i | ||||
\(372\) | − | 7.07434i | − | 0.366787i | ||||||
\(373\) | −13.9243 | + | 24.1177i | −0.720975 | + | 1.24877i | 0.239634 | + | 0.970863i | \(0.422973\pi\) |
−0.960609 | + | 0.277903i | \(0.910361\pi\) | |||||||
\(374\) | −5.07386 | − | 8.78817i | −0.262363 | − | 0.454426i | ||||
\(375\) | 2.85027 | − | 1.64561i | 0.147188 | − | 0.0849788i | ||||
\(376\) | −12.0528 | −0.621573 | ||||||||
\(377\) | 3.22362 | + | 2.81333i | 0.166025 | + | 0.144894i | ||||
\(378\) | −1.00000 | −0.0514344 | ||||||||
\(379\) | −10.7836 | + | 6.22590i | −0.553915 | + | 0.319803i | −0.750700 | − | 0.660644i | \(-0.770283\pi\) |
0.196784 | + | 0.980447i | \(0.436950\pi\) | |||||||
\(380\) | −0.933827 | − | 1.61744i | −0.0479043 | − | 0.0829727i | ||||
\(381\) | −3.38977 | + | 5.87125i | −0.173663 | + | 0.300793i | ||||
\(382\) | 11.7204i | 0.599666i | ||||||||
\(383\) | −8.42273 | − | 4.86286i | −0.430381 | − | 0.248481i | 0.269128 | − | 0.963104i | \(-0.413265\pi\) |
−0.699509 | + | 0.714624i | \(0.746598\pi\) | |||||||
\(384\) | 0.866025 | + | 0.500000i | 0.0441942 | + | 0.0255155i | ||||
\(385\) | 0.868706i | 0.0442734i | ||||||||
\(386\) | 11.9005 | − | 20.6123i | 0.605720 | − | 1.04914i | ||||
\(387\) | 1.53717 | + | 2.66245i | 0.0781387 | + | 0.135340i | ||||
\(388\) | −5.03669 | + | 2.90793i | −0.255699 | + | 0.147628i | ||||
\(389\) | −13.8910 | −0.704302 | −0.352151 | − | 0.935943i | \(-0.614550\pi\) | ||||
−0.352151 | + | 0.935943i | \(0.614550\pi\) | |||||||
\(390\) | −0.231262 | + | 1.17746i | −0.0117104 | + | 0.0596230i | ||||
\(391\) | −16.3770 | −0.828223 | ||||||||
\(392\) | −0.866025 | + | 0.500000i | −0.0437409 | + | 0.0252538i | ||||
\(393\) | 3.61440 | + | 6.26032i | 0.182322 | + | 0.315791i | ||||
\(394\) | −5.04133 | + | 8.73184i | −0.253979 | + | 0.439904i | ||||
\(395\) | 0.313852i | 0.0157916i | ||||||||
\(396\) | 2.26053 | + | 1.30512i | 0.113596 | + | 0.0655846i | ||||
\(397\) | 5.87033 | + | 3.38924i | 0.294624 | + | 0.170101i | 0.640025 | − | 0.768354i | \(-0.278924\pi\) |
−0.345401 | + | 0.938455i | \(0.612257\pi\) | |||||||
\(398\) | 13.8501i | 0.694242i | ||||||||
\(399\) | 2.80591 | − | 4.85997i | 0.140471 | − | 0.243303i | ||||
\(400\) | −2.44462 | − | 4.23421i | −0.122231 | − | 0.211710i | ||||
\(401\) | 12.5254 | − | 7.23152i | 0.625487 | − | 0.361125i | −0.153515 | − | 0.988146i | \(-0.549059\pi\) |
0.779002 | + | 0.627021i | \(0.215726\pi\) | |||||||
\(402\) | −11.9203 | −0.594531 | ||||||||
\(403\) | −8.25711 | − | 24.1334i | −0.411316 | − | 1.20217i | ||||
\(404\) | −15.9703 | −0.794553 | ||||||||
\(405\) | −0.288220 | + | 0.166404i | −0.0143218 | + | 0.00826867i | ||||
\(406\) | 0.593337 | + | 1.02769i | 0.0294468 | + | 0.0510034i | ||||
\(407\) | 0.752321 | − | 1.30306i | 0.0372912 | − | 0.0645902i | ||||
\(408\) | − | 3.88766i | − | 0.192468i | ||||||
\(409\) | 20.2032 | + | 11.6643i | 0.998982 | + | 0.576763i | 0.907947 | − | 0.419085i | \(-0.137649\pi\) |
0.0910351 | + | 0.995848i | \(0.470982\pi\) | |||||||
\(410\) | 0.150180 | + | 0.0867062i | 0.00741684 | + | 0.00428212i | ||||
\(411\) | − | 11.8892i | − | 0.586453i | ||||||
\(412\) | −3.75321 | + | 6.50074i | −0.184907 | + | 0.320269i | ||||
\(413\) | −5.23758 | − | 9.07175i | −0.257724 | − | 0.446392i | ||||
\(414\) | 3.64819 | − | 2.10628i | 0.179299 | − | 0.103518i | ||||
\(415\) | −4.56519 | −0.224096 | ||||||||
\(416\) | 3.53796 | + | 0.694883i | 0.173463 | + | 0.0340694i | ||||
\(417\) | −14.3211 | −0.701308 | ||||||||
\(418\) | −12.6857 | + | 7.32407i | −0.620476 | + | 0.358232i | ||||
\(419\) | 11.2898 | + | 19.5544i | 0.551540 | + | 0.955296i | 0.998164 | + | 0.0605740i | \(0.0192931\pi\) |
−0.446623 | + | 0.894722i | \(0.647374\pi\) | |||||||
\(420\) | −0.166404 | + | 0.288220i | −0.00811967 | + | 0.0140637i | ||||
\(421\) | − | 34.1708i | − | 1.66538i | −0.553738 | − | 0.832691i | \(-0.686799\pi\) | ||
0.553738 | − | 0.832691i | \(-0.313201\pi\) | |||||||
\(422\) | 3.94462 | + | 2.27743i | 0.192021 | + | 0.110863i | ||||
\(423\) | −10.4380 | − | 6.02638i | −0.507512 | − | 0.293012i | ||||
\(424\) | − | 9.71047i | − | 0.471582i | ||||||
\(425\) | −9.50385 | + | 16.4612i | −0.461005 | + | 0.798483i | ||||
\(426\) | 0.472310 | + | 0.818065i | 0.0228835 | + | 0.0396354i | ||||
\(427\) | 6.44304 | − | 3.71989i | 0.311801 | − | 0.180018i | ||||
\(428\) | −8.65078 | −0.418151 | ||||||||
\(429\) | 9.23490 | + | 1.81381i | 0.445865 | + | 0.0875714i | ||||
\(430\) | 1.02316 | 0.0493413 | ||||||||
\(431\) | 4.53528 | − | 2.61844i | 0.218457 | − | 0.126126i | −0.386779 | − | 0.922173i | \(-0.626412\pi\) |
0.605235 | + | 0.796047i | \(0.293079\pi\) | |||||||
\(432\) | 0.500000 | + | 0.866025i | 0.0240563 | + | 0.0416667i | ||||
\(433\) | 8.41030 | − | 14.5671i | 0.404173 | − | 0.700048i | −0.590052 | − | 0.807365i | \(-0.700893\pi\) |
0.994225 | + | 0.107317i | \(0.0342260\pi\) | |||||||
\(434\) | − | 7.07434i | − | 0.339579i | ||||||
\(435\) | 0.342023 | + | 0.197467i | 0.0163988 | + | 0.00946782i | ||||
\(436\) | −16.1205 | − | 9.30718i | −0.772032 | − | 0.445733i | ||||
\(437\) | 23.6401i | 1.13086i | ||||||||
\(438\) | 2.33281 | − | 4.04054i | 0.111466 | − | 0.193065i | ||||
\(439\) | −7.36282 | − | 12.7528i | −0.351408 | − | 0.608657i | 0.635088 | − | 0.772440i | \(-0.280964\pi\) |
−0.986496 | + | 0.163783i | \(0.947630\pi\) | |||||||
\(440\) | 0.752321 | − | 0.434353i | 0.0358655 | − | 0.0207070i | ||||
\(441\) | −1.00000 | −0.0476190 | ||||||||
\(442\) | −4.53765 | − | 13.2624i | −0.215834 | − | 0.630827i | ||||
\(443\) | 36.2393 | 1.72178 | 0.860891 | − | 0.508789i | \(-0.169907\pi\) | ||||
0.860891 | + | 0.508789i | \(0.169907\pi\) | |||||||
\(444\) | 0.499211 | − | 0.288220i | 0.0236915 | − | 0.0136783i | ||||
\(445\) | −0.562493 | − | 0.974266i | −0.0266647 | − | 0.0461846i | ||||
\(446\) | 4.21673 | − | 7.30359i | 0.199668 | − | 0.345835i | ||||
\(447\) | − | 6.05696i | − | 0.286484i | ||||||
\(448\) | 0.866025 | + | 0.500000i | 0.0409159 | + | 0.0236228i | ||||
\(449\) | −21.0351 | − | 12.1446i | −0.992708 | − | 0.573140i | −0.0866255 | − | 0.996241i | \(-0.527608\pi\) |
−0.906083 | + | 0.423101i | \(0.860942\pi\) | |||||||
\(450\) | − | 4.88924i | − | 0.230481i | ||||||
\(451\) | 0.680043 | − | 1.17787i | 0.0320220 | − | 0.0554637i | ||||
\(452\) | 4.57512 | + | 7.92435i | 0.215196 | + | 0.372730i | ||||
\(453\) | 18.6154 | − | 10.7476i | 0.874630 | − | 0.504968i | ||||
\(454\) | −27.9893 | −1.31360 | ||||||||
\(455\) | −0.231262 | + | 1.17746i | −0.0108417 | + | 0.0552001i | ||||
\(456\) | −5.61181 | −0.262797 | ||||||||
\(457\) | −28.8744 | + | 16.6706i | −1.35069 | + | 0.779819i | −0.988345 | − | 0.152227i | \(-0.951355\pi\) |
−0.362340 | + | 0.932046i | \(0.618022\pi\) | |||||||
\(458\) | −14.3892 | − | 24.9229i | −0.672365 | − | 1.16457i | ||||
\(459\) | 1.94383 | − | 3.36681i | 0.0907303 | − | 0.157149i | ||||
\(460\) | − | 1.40197i | − | 0.0653674i | ||||||
\(461\) | −25.6317 | − | 14.7985i | −1.19379 | − | 0.689234i | −0.234625 | − | 0.972086i | \(-0.575386\pi\) |
−0.959164 | + | 0.282852i | \(0.908720\pi\) | |||||||
\(462\) | 2.26053 | + | 1.30512i | 0.105169 | + | 0.0607196i | ||||
\(463\) | − | 36.6027i | − | 1.70107i | −0.525918 | − | 0.850535i | \(-0.676278\pi\) | ||
0.525918 | − | 0.850535i | \(-0.323722\pi\) | |||||||
\(464\) | 0.593337 | − | 1.02769i | 0.0275450 | − | 0.0477093i | ||||
\(465\) | −1.17720 | − | 2.03896i | −0.0545912 | − | 0.0945547i | ||||
\(466\) | 16.3572 | − | 9.44383i | 0.757732 | − | 0.437477i | ||||
\(467\) | −6.21635 | −0.287658 | −0.143829 | − | 0.989603i | \(-0.545942\pi\) | ||||
−0.143829 | + | 0.989603i | \(0.545942\pi\) | |||||||
\(468\) | 2.71652 | + | 2.37076i | 0.125571 | + | 0.109589i | ||||
\(469\) | −11.9203 | −0.550428 | ||||||||
\(470\) | −3.47384 | + | 2.00562i | −0.160236 | + | 0.0925125i | ||||
\(471\) | 1.14613 | + | 1.98516i | 0.0528110 | + | 0.0914714i | ||||
\(472\) | −5.23758 | + | 9.07175i | −0.241079 | + | 0.417561i | ||||
\(473\) | − | 8.02474i | − | 0.368978i | ||||||
\(474\) | 0.816699 | + | 0.471521i | 0.0375122 | + | 0.0216577i | ||||
\(475\) | 23.7616 | + | 13.7187i | 1.09026 | + | 0.629459i | ||||
\(476\) | − | 3.88766i | − | 0.178191i | ||||||
\(477\) | 4.85523 | − | 8.40951i | 0.222306 | − | 0.385045i | ||||
\(478\) | 5.54665 | + | 9.60707i | 0.253698 | + | 0.439417i | ||||
\(479\) | −29.0757 | + | 16.7869i | −1.32850 | + | 0.767011i | −0.985068 | − | 0.172165i | \(-0.944924\pi\) |
−0.343434 | + | 0.939177i | \(0.611590\pi\) | |||||||
\(480\) | 0.332808 | 0.0151905 | ||||||||
\(481\) | 1.36660 | − | 1.56591i | 0.0623117 | − | 0.0713993i | ||||
\(482\) | 8.11392 | 0.369579 | ||||||||
\(483\) | 3.64819 | − | 2.10628i | 0.165998 | − | 0.0958393i | ||||
\(484\) | 2.09334 | + | 3.62577i | 0.0951517 | + | 0.164808i | ||||
\(485\) | −0.967782 | + | 1.67625i | −0.0439447 | + | 0.0761145i | ||||
\(486\) | 1.00000i | 0.0453609i | ||||||||
\(487\) | 17.5020 | + | 10.1048i | 0.793089 | + | 0.457890i | 0.841049 | − | 0.540959i | \(-0.181939\pi\) |
−0.0479597 | + | 0.998849i | \(0.515272\pi\) | |||||||
\(488\) | −6.44304 | − | 3.71989i | −0.291663 | − | 0.168392i | ||||
\(489\) | 3.34071i | 0.151072i | ||||||||
\(490\) | −0.166404 | + | 0.288220i | −0.00751736 | + | 0.0130204i | ||||
\(491\) | −3.38977 | − | 5.87125i | −0.152978 | − | 0.264966i | 0.779343 | − | 0.626598i | \(-0.215553\pi\) |
−0.932321 | + | 0.361632i | \(0.882220\pi\) | |||||||
\(492\) | 0.451251 | − | 0.260530i | 0.0203439 | − | 0.0117456i | ||||
\(493\) | −4.61339 | −0.207777 | ||||||||
\(494\) | −19.1441 | + | 6.55006i | −0.861336 | + | 0.294701i | ||||
\(495\) | 0.868706 | 0.0390454 | ||||||||
\(496\) | −6.12656 | + | 3.53717i | −0.275090 | + | 0.158824i | ||||
\(497\) | 0.472310 | + | 0.818065i | 0.0211860 | + | 0.0366952i | ||||
\(498\) | −6.85861 | + | 11.8795i | −0.307341 | + | 0.532331i | ||||
\(499\) | 11.0813i | 0.496066i | 0.968752 | + | 0.248033i | \(0.0797841\pi\) | ||||
−0.968752 | + | 0.248033i | \(0.920216\pi\) | |||||||
\(500\) | −2.85027 | − | 1.64561i | −0.127468 | − | 0.0735938i | ||||
\(501\) | 5.57802 | + | 3.22047i | 0.249207 | + | 0.143880i | ||||
\(502\) | − | 3.16930i | − | 0.141453i | ||||||
\(503\) | 14.9958 | − | 25.9735i | 0.668629 | − | 1.15810i | −0.309658 | − | 0.950848i | \(-0.600215\pi\) |
0.978288 | − | 0.207252i | \(-0.0664520\pi\) | |||||||
\(504\) | 0.500000 | + | 0.866025i | 0.0222718 | + | 0.0385758i | ||||
\(505\) | −4.60296 | + | 2.65752i | −0.204829 | + | 0.118258i | ||||
\(506\) | −10.9958 | −0.488823 | ||||||||
\(507\) | 12.0343 | + | 4.91693i | 0.534461 | + | 0.218368i | ||||
\(508\) | 6.77953 | 0.300793 | ||||||||
\(509\) | 27.2629 | − | 15.7402i | 1.20840 | − | 0.697673i | 0.245994 | − | 0.969271i | \(-0.420886\pi\) |
0.962411 | + | 0.271599i | \(0.0875523\pi\) | |||||||
\(510\) | −0.646922 | − | 1.12050i | −0.0286462 | − | 0.0496166i | ||||
\(511\) | 2.33281 | − | 4.04054i | 0.103197 | − | 0.178743i | ||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | −4.85997 | − | 2.80591i | −0.214573 | − | 0.123884i | ||||
\(514\) | 0.167507 | + | 0.0967103i | 0.00738843 | + | 0.00426571i | ||||
\(515\) | 2.49819i | 0.110083i | ||||||||
\(516\) | 1.53717 | − | 2.66245i | 0.0676701 | − | 0.117208i | ||||
\(517\) | 15.7303 | + | 27.2456i | 0.691816 | + | 1.19826i | ||||
\(518\) | 0.499211 | − | 0.288220i | 0.0219341 | − | 0.0126637i | ||||
\(519\) | −18.6144 | −0.817079 | ||||||||
\(520\) | 1.13534 | − | 0.388451i | 0.0497880 | − | 0.0170347i | ||||
\(521\) | 17.8010 | 0.779877 | 0.389939 | − | 0.920841i | \(-0.372496\pi\) | ||||
0.389939 | + | 0.920841i | \(0.372496\pi\) | |||||||
\(522\) | 1.02769 | − | 0.593337i | 0.0449808 | − | 0.0259697i | ||||
\(523\) | −16.4702 | − | 28.5272i | −0.720192 | − | 1.24741i | −0.960923 | − | 0.276817i | \(-0.910720\pi\) |
0.240731 | − | 0.970592i | \(-0.422613\pi\) | |||||||
\(524\) | 3.61440 | − | 6.26032i | 0.157896 | − | 0.273483i | ||||
\(525\) | − | 4.88924i | − | 0.213384i | ||||||
\(526\) | 10.4301 | + | 6.02185i | 0.454776 | + | 0.262565i | ||||
\(527\) | 23.8180 | + | 13.7513i | 1.03753 | + | 0.599017i | ||||
\(528\) | − | 2.61023i | − | 0.113596i | ||||||
\(529\) | 2.62713 | − | 4.55033i | 0.114223 | − | 0.197840i | ||||
\(530\) | −1.61586 | − | 2.79875i | −0.0701884 | − | 0.121570i | ||||
\(531\) | −9.07175 | + | 5.23758i | −0.393680 | + | 0.227292i | ||||
\(532\) | −5.61181 | −0.243303 | ||||||||
\(533\) | 1.23531 | − | 1.41547i | 0.0535072 | − | 0.0613107i | ||||
\(534\) | −3.38029 | −0.146279 | ||||||||
\(535\) | −2.49333 | + | 1.43952i | −0.107796 | + | 0.0622360i | ||||
\(536\) | 5.96015 | + | 10.3233i | 0.257439 | + | 0.445898i | ||||
\(537\) | 11.1081 | − | 19.2398i | 0.479351 | − | 0.830261i | ||||
\(538\) | − | 17.2097i | − | 0.741965i | ||||||
\(539\) | 2.26053 | + | 1.30512i | 0.0973679 | + | 0.0562154i | ||||
\(540\) | 0.288220 | + | 0.166404i | 0.0124030 | + | 0.00716088i | ||||
\(541\) | − | 15.5204i | − | 0.667276i | −0.942701 | − | 0.333638i | \(-0.891724\pi\) | ||
0.942701 | − | 0.333638i | \(-0.108276\pi\) | |||||||
\(542\) | 8.57096 | − | 14.8453i | 0.368154 | − | 0.637662i | ||||
\(543\) | −2.02927 | − | 3.51479i | −0.0870842 | − | 0.150834i | ||||
\(544\) | −3.36681 | + | 1.94383i | −0.144351 | + | 0.0833411i | ||||
\(545\) | −6.19500 | −0.265365 | ||||||||
\(546\) | 2.71652 | + | 2.37076i | 0.116256 | + | 0.101459i | ||||
\(547\) | 22.9529 | 0.981397 | 0.490698 | − | 0.871329i | \(-0.336742\pi\) | ||||
0.490698 | + | 0.871329i | \(0.336742\pi\) | |||||||
\(548\) | −10.2964 | + | 5.94462i | −0.439840 | + | 0.253942i | ||||
\(549\) | −3.71989 | − | 6.44304i | −0.158761 | − | 0.274982i | ||||
\(550\) | −6.38103 | + | 11.0523i | −0.272088 | + | 0.471270i | ||||
\(551\) | 6.65939i | 0.283700i | ||||||||
\(552\) | −3.64819 | − | 2.10628i | −0.155277 | − | 0.0896494i | ||||
\(553\) | 0.816699 | + | 0.471521i | 0.0347296 | + | 0.0200511i | ||||
\(554\) | − | 15.7132i | − | 0.667590i | ||||||
\(555\) | 0.0959218 | − | 0.166141i | 0.00407165 | − | 0.00705231i | ||||
\(556\) | 7.16056 | + | 12.4025i | 0.303675 | + | 0.525981i | ||||
\(557\) | −20.8161 | + | 12.0182i | −0.882005 | + | 0.509226i | −0.871319 | − | 0.490717i | \(-0.836735\pi\) |
−0.0106863 | + | 0.999943i | \(0.503402\pi\) | |||||||
\(558\) | −7.07434 | −0.299481 | ||||||||
\(559\) | 2.13630 | − | 10.8769i | 0.0903560 | − | 0.460043i | ||||
\(560\) | 0.332808 | 0.0140637 | ||||||||
\(561\) | −8.78817 | + | 5.07386i | −0.371037 | + | 0.214218i | ||||
\(562\) | −2.03669 | − | 3.52765i | −0.0859125 | − | 0.148805i | ||||
\(563\) | −18.9379 | + | 32.8015i | −0.798139 | + | 1.38242i | 0.122687 | + | 0.992445i | \(0.460849\pi\) |
−0.920827 | + | 0.389972i | \(0.872485\pi\) | |||||||
\(564\) | 12.0528i | 0.507512i | ||||||||
\(565\) | 2.63728 | + | 1.52264i | 0.110951 | + | 0.0640578i | ||||
\(566\) | −18.6497 | − | 10.7674i | −0.783906 | − | 0.452589i | ||||
\(567\) | 1.00000i | 0.0419961i | ||||||||
\(568\) | 0.472310 | − | 0.818065i | 0.0198177 | − | 0.0343252i | ||||
\(569\) | −13.6833 | − | 23.7001i | −0.573632 | − | 0.993560i | −0.996189 | − | 0.0872233i | \(-0.972201\pi\) |
0.422557 | − | 0.906336i | \(-0.361133\pi\) | |||||||
\(570\) | −1.61744 | + | 0.933827i | −0.0677469 | + | 0.0391137i | ||||
\(571\) | 17.6639 | 0.739213 | 0.369607 | − | 0.929188i | \(-0.379492\pi\) | ||||
0.369607 | + | 0.929188i | \(0.379492\pi\) | |||||||
\(572\) | −3.04665 | − | 8.90456i | −0.127387 | − | 0.372318i | ||||
\(573\) | 11.7204 | 0.489625 | ||||||||
\(574\) | 0.451251 | − | 0.260530i | 0.0188348 | − | 0.0108743i | ||||
\(575\) | 10.2981 | + | 17.8369i | 0.429462 | + | 0.743849i | ||||
\(576\) | 0.500000 | − | 0.866025i | 0.0208333 | − | 0.0360844i | ||||
\(577\) | 11.3804i | 0.473772i | 0.971537 | + | 0.236886i | \(0.0761268\pi\) | ||||
−0.971537 | + | 0.236886i | \(0.923873\pi\) | |||||||
\(578\) | −1.63340 | − | 0.943042i | −0.0679404 | − | 0.0392254i | ||||
\(579\) | −20.6123 | − | 11.9005i | −0.856618 | − | 0.494568i | ||||
\(580\) | − | 0.394934i | − | 0.0163988i | ||||||
\(581\) | −6.85861 | + | 11.8795i | −0.284543 | + | 0.492843i | ||||
\(582\) | 2.90793 | + | 5.03669i | 0.120538 | + | 0.208777i | ||||
\(583\) | −21.9508 | + | 12.6733i | −0.909109 | + | 0.524874i | ||||
\(584\) | −4.66562 | −0.193065 | ||||||||
\(585\) | 1.17746 | + | 0.231262i | 0.0486819 | + | 0.00956152i | ||||
\(586\) | −0.176042 | −0.00727222 | ||||||||
\(587\) | 15.9949 | − | 9.23469i | 0.660182 | − | 0.381156i | −0.132164 | − | 0.991228i | \(-0.542193\pi\) |
0.792346 | + | 0.610072i | \(0.208859\pi\) | |||||||
\(588\) | 0.500000 | + | 0.866025i | 0.0206197 | + | 0.0357143i | ||||
\(589\) | 19.8499 | − | 34.3811i | 0.817902 | − | 1.41665i | ||||
\(590\) | 3.48621i | 0.143525i | ||||||||
\(591\) | 8.73184 | + | 5.04133i | 0.359180 | + | 0.207373i | ||||
\(592\) | −0.499211 | − | 0.288220i | −0.0205175 | − | 0.0118458i | ||||
\(593\) | − | 19.3561i | − | 0.794859i | −0.917633 | − | 0.397429i | \(-0.869902\pi\) | ||
0.917633 | − | 0.397429i | \(-0.130098\pi\) | |||||||
\(594\) | 1.30512 | − | 2.26053i | 0.0535496 | − | 0.0927507i | ||||
\(595\) | −0.646922 | − | 1.12050i | −0.0265212 | − | 0.0459361i | ||||
\(596\) | −5.24548 | + | 3.02848i | −0.214863 | + | 0.124051i | ||||
\(597\) | 13.8501 | 0.566846 | ||||||||
\(598\) | −14.9039 | − | 2.92724i | −0.609465 | − | 0.119704i | ||||
\(599\) | 21.1818 | 0.865466 | 0.432733 | − | 0.901522i | \(-0.357549\pi\) | ||||
0.432733 | + | 0.901522i | \(0.357549\pi\) | |||||||
\(600\) | −4.23421 | + | 2.44462i | −0.172861 | + | 0.0998012i | ||||
\(601\) | −11.0721 | − | 19.1774i | −0.451639 | − | 0.782261i | 0.546849 | − | 0.837231i | \(-0.315827\pi\) |
−0.998488 | + | 0.0549699i | \(0.982494\pi\) | |||||||
\(602\) | 1.53717 | − | 2.66245i | 0.0626503 | − | 0.108513i | ||||
\(603\) | 11.9203i | 0.485432i | ||||||||
\(604\) | −18.6154 | − | 10.7476i | −0.757452 | − | 0.437315i | ||||
\(605\) | 1.20668 | + | 0.696679i | 0.0490586 | + | 0.0283240i | ||||
\(606\) | 15.9703i | 0.648750i | ||||||||
\(607\) | −17.1439 | + | 29.6942i | −0.695851 | + | 1.20525i | 0.274042 | + | 0.961718i | \(0.411639\pi\) |
−0.969893 | + | 0.243531i | \(0.921694\pi\) | |||||||
\(608\) | 2.80591 | + | 4.85997i | 0.113795 | + | 0.197098i | ||||
\(609\) | 1.02769 | − | 0.593337i | 0.0416441 | − | 0.0240432i | ||||
\(610\) | −2.47602 | −0.100251 | ||||||||
\(611\) | 14.0679 | + | 41.1168i | 0.569125 | + | 1.66341i | ||||
\(612\) | −3.88766 | −0.157149 | ||||||||
\(613\) | 14.7308 | − | 8.50484i | 0.594972 | − | 0.343507i | −0.172089 | − | 0.985081i | \(-0.555052\pi\) |
0.767061 | + | 0.641574i | \(0.221718\pi\) | |||||||
\(614\) | −10.3702 | − | 17.9618i | −0.418509 | − | 0.724878i | ||||
\(615\) | 0.0867062 | − | 0.150180i | 0.00349633 | − | 0.00605583i | ||||
\(616\) | − | 2.61023i | − | 0.105169i | ||||||
\(617\) | 15.0005 | + | 8.66052i | 0.603896 | + | 0.348659i | 0.770573 | − | 0.637352i | \(-0.219970\pi\) |
−0.166677 | + | 0.986012i | \(0.553304\pi\) | |||||||
\(618\) | 6.50074 | + | 3.75321i | 0.261498 | + | 0.150976i | ||||
\(619\) | 0.621482i | 0.0249795i | 0.999922 | + | 0.0124897i | \(0.00397571\pi\) | ||||
−0.999922 | + | 0.0124897i | \(0.996024\pi\) | |||||||
\(620\) | −1.17720 | + | 2.03896i | −0.0472773 | + | 0.0818868i | ||||
\(621\) | −2.10628 | − | 3.64819i | −0.0845223 | − | 0.146397i | ||||
\(622\) | −9.49838 | + | 5.48389i | −0.380850 | + | 0.219884i | ||||
\(623\) | −3.38029 | −0.135428 | ||||||||
\(624\) | 0.694883 | − | 3.53796i | 0.0278176 | − | 0.141632i | ||||
\(625\) | 23.3509 | 0.934034 | ||||||||
\(626\) | −14.0460 | + | 8.10945i | −0.561390 | + | 0.324119i | ||||
\(627\) | 7.32407 | + | 12.6857i | 0.292495 | + | 0.506617i | ||||
\(628\) | 1.14613 | − | 1.98516i | 0.0457357 | − | 0.0792165i | ||||
\(629\) | 2.24100i | 0.0893546i | ||||||||
\(630\) | 0.288220 | + | 0.166404i | 0.0114830 | + | 0.00662969i | ||||
\(631\) | 11.7575 | + | 6.78817i | 0.468057 | + | 0.270233i | 0.715426 | − | 0.698688i | \(-0.246233\pi\) |
−0.247369 | + | 0.968921i | \(0.579566\pi\) | |||||||
\(632\) | − | 0.943042i | − | 0.0375122i | ||||||
\(633\) | 2.27743 | − | 3.94462i | 0.0905196 | − | 0.156785i | ||||
\(634\) | 5.26790 | + | 9.12428i | 0.209215 | + | 0.362371i | ||||
\(635\) | 1.95400 | − | 1.12814i | 0.0775419 | − | 0.0447689i | ||||
\(636\) | −9.71047 | −0.385045 | ||||||||
\(637\) | 2.71652 | + | 2.37076i | 0.107632 | + | 0.0939331i | ||||
\(638\) | −3.09750 | −0.122631 | ||||||||
\(639\) | 0.818065 | − | 0.472310i | 0.0323621 | − | 0.0186843i | ||||
\(640\) | −0.166404 | − | 0.288220i | −0.00657769 | − | 0.0113929i | ||||
\(641\) | −10.2558 | + | 17.7636i | −0.405081 | + | 0.701622i | −0.994331 | − | 0.106330i | \(-0.966090\pi\) |
0.589250 | + | 0.807951i | \(0.299423\pi\) | |||||||
\(642\) | 8.65078i | 0.341419i | ||||||||
\(643\) | −37.0253 | − | 21.3766i | −1.46013 | − | 0.843009i | −0.461118 | − | 0.887339i | \(-0.652552\pi\) |
−0.999017 | + | 0.0443295i | \(0.985885\pi\) | |||||||
\(644\) | −3.64819 | − | 2.10628i | −0.143759 | − | 0.0829992i | ||||
\(645\) | − | 1.02316i | − | 0.0402870i | ||||||
\(646\) | 10.9084 | − | 18.8939i | 0.429186 | − | 0.743372i | ||||
\(647\) | −13.1115 | − | 22.7098i | −0.515466 | − | 0.892814i | −0.999839 | − | 0.0179521i | \(-0.994285\pi\) |
0.484372 | − | 0.874862i | \(-0.339048\pi\) | |||||||
\(648\) | 0.866025 | − | 0.500000i | 0.0340207 | − | 0.0196419i | ||||
\(649\) | 27.3426 | 1.07329 | ||||||||
\(650\) | −11.5912 | + | 13.2817i | −0.454646 | + | 0.520952i | ||||
\(651\) | −7.07434 | −0.277265 | ||||||||
\(652\) | 2.89314 | − | 1.67035i | 0.113304 | − | 0.0654161i | ||||
\(653\) | 4.36935 | + | 7.56794i | 0.170986 | + | 0.296156i | 0.938765 | − | 0.344558i | \(-0.111971\pi\) |
−0.767779 | + | 0.640715i | \(0.778638\pi\) | |||||||
\(654\) | −9.30718 | + | 16.1205i | −0.363939 | + | 0.630361i | ||||
\(655\) | − | 2.40580i | − | 0.0940023i | ||||||
\(656\) | −0.451251 | − | 0.260530i | −0.0176184 | − | 0.0101720i | ||||
\(657\) | −4.04054 | − | 2.33281i | −0.157637 | − | 0.0910115i | ||||
\(658\) | 12.0528i | 0.469865i | ||||||||
\(659\) | −0.251052 | + | 0.434834i | −0.00977958 | + | 0.0169387i | −0.870874 | − | 0.491507i | \(-0.836446\pi\) |
0.861094 | + | 0.508445i | \(0.169780\pi\) | |||||||
\(660\) | −0.434353 | − | 0.752321i | −0.0169072 | − | 0.0292841i | ||||
\(661\) | 27.1062 | − | 15.6498i | 1.05431 | − | 0.608705i | 0.130456 | − | 0.991454i | \(-0.458356\pi\) |
0.923853 | + | 0.382749i | \(0.125022\pi\) | |||||||
\(662\) | 16.1297 | 0.626899 | ||||||||
\(663\) | −13.2624 | + | 4.53765i | −0.515068 | + | 0.176228i | ||||
\(664\) | 13.7172 | 0.532331 | ||||||||
\(665\) | −1.61744 | + | 0.933827i | −0.0627215 | + | 0.0362123i | ||||
\(666\) | −0.288220 | − | 0.499211i | −0.0111683 | − | 0.0193440i | ||||
\(667\) | −2.49947 | + | 4.32922i | −0.0967800 | + | 0.167628i | ||||
\(668\) | − | 6.44094i | − | 0.249207i | ||||||
\(669\) | −7.30359 | − | 4.21673i | −0.282373 | − | 0.163028i | ||||
\(670\) | 3.43567 | + | 1.98358i | 0.132731 | + | 0.0766325i | ||||
\(671\) | 19.4196i | 0.749685i | ||||||||
\(672\) | 0.500000 | − | 0.866025i | 0.0192879 | − | 0.0334077i | ||||
\(673\) | −11.8585 | − | 20.5395i | −0.457112 | − | 0.791741i | 0.541695 | − | 0.840575i | \(-0.317783\pi\) |
−0.998807 | + | 0.0488340i | \(0.984449\pi\) | |||||||
\(674\) | −1.54833 | + | 0.893927i | −0.0596393 | + | 0.0344328i | ||||
\(675\) | −4.88924 | −0.188187 | ||||||||
\(676\) | −1.75895 | − | 12.8805i | −0.0676520 | − | 0.495402i | ||||
\(677\) | 17.8136 | 0.684631 | 0.342315 | − | 0.939585i | \(-0.388789\pi\) | ||||
0.342315 | + | 0.939585i | \(0.388789\pi\) | |||||||
\(678\) | 7.92435 | − | 4.57512i | 0.304333 | − | 0.175707i | ||||
\(679\) | 2.90793 | + | 5.03669i | 0.111596 | + | 0.193290i | ||||
\(680\) | −0.646922 | + | 1.12050i | −0.0248083 | + | 0.0429693i | ||||
\(681\) | 27.9893i | 1.07255i | ||||||||
\(682\) | 15.9917 | + | 9.23284i | 0.612356 | + | 0.353544i | ||||
\(683\) | 10.3174 | + | 5.95673i | 0.394783 | + | 0.227928i | 0.684230 | − | 0.729266i | \(-0.260138\pi\) |
−0.289448 | + | 0.957194i | \(0.593472\pi\) | |||||||
\(684\) | 5.61181i | 0.214573i | ||||||||
\(685\) | −1.97841 | + | 3.42671i | −0.0755913 | + | 0.130928i | ||||
\(686\) | 0.500000 | + | 0.866025i | 0.0190901 | + | 0.0330650i | ||||
\(687\) | −24.9229 | + | 14.3892i | −0.950868 | + | 0.548984i | ||||
\(688\) | −3.07434 | −0.117208 | ||||||||
\(689\) | −33.1263 | + | 11.3340i | −1.26201 | + | 0.431790i | ||||
\(690\) | −1.40197 | −0.0533723 | ||||||||
\(691\) | −17.3085 | + | 9.99306i | −0.658446 | + | 0.380154i | −0.791685 | − | 0.610930i | \(-0.790796\pi\) |
0.133239 | + | 0.991084i | \(0.457462\pi\) | |||||||
\(692\) | 9.30718 | + | 16.1205i | 0.353806 | + | 0.612810i | ||||
\(693\) | 1.30512 | − | 2.26053i | 0.0495773 | − | 0.0858704i | ||||
\(694\) | − | 25.4061i | − | 0.964402i | ||||||
\(695\) | 4.12763 | + | 2.38309i | 0.156570 | + | 0.0903957i | ||||
\(696\) | −1.02769 | − | 0.593337i | −0.0389545 | − | 0.0224904i | ||||
\(697\) | 2.02570i | 0.0767289i | ||||||||
\(698\) | 14.1693 | − | 24.5419i | 0.536314 | − | 0.928923i | ||||
\(699\) | −9.44383 | − | 16.3572i | −0.357198 | − | 0.618686i | ||||
\(700\) | −4.23421 | + | 2.44462i | −0.160038 | + | 0.0923979i | ||||
\(701\) | −23.9244 | −0.903613 | −0.451806 | − | 0.892116i | \(-0.649220\pi\) | ||||
−0.451806 | + | 0.892116i | \(0.649220\pi\) | |||||||
\(702\) | 2.37076 | − | 2.71652i | 0.0894787 | − | 0.102528i | ||||
\(703\) | 3.23487 | 0.122005 | ||||||||
\(704\) | −2.26053 | + | 1.30512i | −0.0851969 | + | 0.0491885i | ||||
\(705\) | 2.00562 | + | 3.47384i | 0.0755362 | + | 0.130832i | ||||
\(706\) | 0.976568 | − | 1.69146i | 0.0367536 | − | 0.0636591i | ||||
\(707\) | 15.9703i | 0.600626i | ||||||||
\(708\) | 9.07175 | + | 5.23758i | 0.340937 | + | 0.196840i | ||||
\(709\) | 30.7406 | + | 17.7481i | 1.15449 | + | 0.666544i | 0.949977 | − | 0.312320i | \(-0.101106\pi\) |
0.204512 | + | 0.978864i | \(0.434439\pi\) | |||||||
\(710\) | − | 0.314377i | − | 0.0117983i | ||||||
\(711\) | 0.471521 | − | 0.816699i | 0.0176834 | − | 0.0306286i | ||||
\(712\) | 1.69014 | + | 2.92741i | 0.0633408 | + | 0.109710i | ||||
\(713\) | 25.8085 | − | 14.9006i | 0.966537 | − | 0.558031i | ||||
\(714\) | −3.88766 | −0.145492 | ||||||||
\(715\) | −2.35986 | − | 2.05950i | −0.0882536 | − | 0.0770208i | ||||
\(716\) | −22.2163 | −0.830261 | ||||||||
\(717\) | 9.60707 | − | 5.54665i | 0.358783 | − | 0.207143i | ||||
\(718\) | 13.8282 | + | 23.9512i | 0.516065 | + | 0.893851i | ||||
\(719\) | −3.09097 | + | 5.35372i | −0.115274 | + | 0.199660i | −0.917889 | − | 0.396837i | \(-0.870108\pi\) |
0.802615 | + | 0.596497i | \(0.203441\pi\) | |||||||
\(720\) | − | 0.332808i | − | 0.0124030i | ||||||
\(721\) | 6.50074 | + | 3.75321i | 0.242100 | + | 0.139777i | ||||
\(722\) | −10.8188 | − | 6.24622i | −0.402633 | − | 0.232460i | ||||
\(723\) | − | 8.11392i | − | 0.301760i | ||||||
\(724\) | −2.02927 | + | 3.51479i | −0.0754171 | + | 0.130626i | ||||
\(725\) | 2.90097 | + | 5.02462i | 0.107739 | + | 0.186610i | ||||
\(726\) | 3.62577 | − | 2.09334i | 0.134565 | − | 0.0776910i | ||||
\(727\) | −43.2387 | −1.60363 | −0.801817 | − | 0.597569i | \(-0.796133\pi\) | ||||
−0.801817 | + | 0.597569i | \(0.796133\pi\) | |||||||
\(728\) | 0.694883 | − | 3.53796i | 0.0257541 | − | 0.131125i | ||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | −1.34472 | + | 0.776376i | −0.0497704 | + | 0.0287350i | ||||
\(731\) | 5.97599 | + | 10.3507i | 0.221030 | + | 0.382835i | ||||
\(732\) | −3.71989 | + | 6.44304i | −0.137491 | + | 0.238142i | ||||
\(733\) | − | 32.0306i | − | 1.18308i | −0.806277 | − | 0.591538i | \(-0.798521\pi\) | ||
0.806277 | − | 0.591538i | \(-0.201479\pi\) | |||||||
\(734\) | 4.98636 | + | 2.87888i | 0.184050 | + | 0.106261i | ||||
\(735\) | 0.288220 | + | 0.166404i | 0.0106311 | + | 0.00613790i | ||||
\(736\) | 4.21257i | 0.155277i | ||||||||
\(737\) | 15.5574 | − | 26.9462i | 0.573064 | − | 0.992576i | ||||
\(738\) | −0.260530 | − | 0.451251i | −0.00959023 | − | 0.0166108i | ||||
\(739\) | −22.0558 | + | 12.7339i | −0.811334 | + | 0.468424i | −0.847419 | − | 0.530925i | \(-0.821845\pi\) |
0.0360848 | + | 0.999349i | \(0.488511\pi\) | |||||||
\(740\) | −0.191844 | −0.00705231 | ||||||||
\(741\) | 6.55006 | + | 19.1441i | 0.240623 | + | 0.703278i | ||||
\(742\) | −9.71047 | −0.356482 | ||||||||
\(743\) | −12.5533 | + | 7.24763i | −0.460535 | + | 0.265890i | −0.712269 | − | 0.701906i | \(-0.752332\pi\) |
0.251734 | + | 0.967796i | \(0.418999\pi\) | |||||||
\(744\) | 3.53717 | + | 6.12656i | 0.129679 | + | 0.224610i | ||||
\(745\) | −1.00790 | + | 1.74574i | −0.0369266 | + | 0.0639588i | ||||
\(746\) | − | 27.8487i | − | 1.01961i | ||||||
\(747\) | 11.8795 | + | 6.85861i | 0.434646 | + | 0.250943i | ||||
\(748\) | 8.78817 | + | 5.07386i | 0.321327 | + | 0.185519i | ||||
\(749\) | 8.65078i | 0.316092i | ||||||||
\(750\) | −1.64561 | + | 2.85027i | −0.0600891 | + | 0.104077i | ||||
\(751\) | 14.5632 | + | 25.2243i | 0.531420 | + | 0.920447i | 0.999327 | + | 0.0366690i | \(0.0116747\pi\) |
−0.467907 | + | 0.883777i | \(0.654992\pi\) | |||||||
\(752\) | 10.4380 | − | 6.02638i | 0.380634 | − | 0.219759i | ||||
\(753\) | −3.16930 | −0.115496 | ||||||||
\(754\) | −4.19840 | − | 0.824599i | −0.152897 | − | 0.0300301i | ||||
\(755\) | −7.15379 | −0.260353 | ||||||||
\(756\) | 0.866025 | − | 0.500000i | 0.0314970 | − | 0.0181848i | ||||
\(757\) | 10.0230 | + | 17.3603i | 0.364292 | + | 0.630973i | 0.988662 | − | 0.150156i | \(-0.0479776\pi\) |
−0.624370 | + | 0.781129i | \(0.714644\pi\) | |||||||
\(758\) | 6.22590 | − | 10.7836i | 0.226135 | − | 0.391677i | ||||
\(759\) | 10.9958i | 0.399122i | ||||||||
\(760\) | 1.61744 | + | 0.933827i | 0.0586706 | + | 0.0338735i | ||||
\(761\) | 16.4954 | + | 9.52360i | 0.597956 | + | 0.345230i | 0.768237 | − | 0.640165i | \(-0.221134\pi\) |
−0.170281 | + | 0.985396i | \(0.554468\pi\) | |||||||
\(762\) | − | 6.77953i | − | 0.245596i | ||||||
\(763\) | −9.30718 | + | 16.1205i | −0.336942 | + | 0.583601i | ||||
\(764\) | −5.86018 | − | 10.1501i | −0.212014 | − | 0.367219i | ||||
\(765\) | −1.12050 | + | 0.646922i | −0.0405118 | + | 0.0233895i | ||||
\(766\) | 9.72573 | 0.351405 | ||||||||
\(767\) | 37.0607 | + | 7.27900i | 1.33818 | + | 0.262830i | ||||
\(768\) | −1.00000 | −0.0360844 | ||||||||
\(769\) | 13.2055 | − | 7.62418i | 0.476201 | − | 0.274935i | −0.242631 | − | 0.970119i | \(-0.578010\pi\) |
0.718832 | + | 0.695184i | \(0.244677\pi\) | |||||||
\(770\) | −0.434353 | − | 0.752321i | −0.0156530 | − | 0.0271118i | ||||
\(771\) | 0.0967103 |