Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [189,2,Mod(25,189)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(189, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([10, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("189.25");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 189 = 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 189.w (of order \(9\), degree \(6\), 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: | \(1.50917259820\) |
Analytic rank: | \(0\) |
Dimension: | \(132\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 25.10 | ||
Character | \(\chi\) | \(=\) | 189.25 |
Dual form | 189.2.w.a.121.10 |
$q$-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 \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(136\) |
\(\chi(n)\) | \(e\left(\frac{5}{9}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.332947 | + | 0.121183i | −0.235429 | + | 0.0856891i | −0.457040 | − | 0.889446i | \(-0.651091\pi\) |
0.221612 | + | 0.975135i | \(0.428868\pi\) | |||||||
\(3\) | −1.35881 | + | 1.07408i | −0.784507 | + | 0.620120i | ||||
\(4\) | −1.43592 | + | 1.20488i | −0.717960 | + | 0.602440i | ||||
\(5\) | 0.672463 | + | 0.244756i | 0.300734 | + | 0.109458i | 0.487980 | − | 0.872855i | \(-0.337734\pi\) |
−0.187246 | + | 0.982313i | \(0.559956\pi\) | |||||||
\(6\) | 0.322250 | − | 0.522275i | 0.131558 | − | 0.213218i | ||||
\(7\) | −2.22176 | − | 1.43659i | −0.839745 | − | 0.542982i | ||||
\(8\) | 0.686389 | − | 1.18886i | 0.242675 | − | 0.420326i | ||||
\(9\) | 0.692708 | − | 2.91893i | 0.230903 | − | 0.972977i | ||||
\(10\) | −0.253554 | −0.0801810 | ||||||||
\(11\) | −4.78127 | + | 1.74024i | −1.44161 | + | 0.524702i | −0.940234 | − | 0.340528i | \(-0.889394\pi\) |
−0.501374 | + | 0.865231i | \(0.667172\pi\) | |||||||
\(12\) | 0.657001 | − | 3.17949i | 0.189660 | − | 0.917840i | ||||
\(13\) | −0.350421 | − | 1.98733i | −0.0971892 | − | 0.551187i | −0.994055 | − | 0.108884i | \(-0.965272\pi\) |
0.896865 | − | 0.442304i | \(-0.145839\pi\) | |||||||
\(14\) | 0.913817 | + | 0.209071i | 0.244228 | + | 0.0558766i | ||||
\(15\) | −1.17663 | + | 0.389702i | −0.303806 | + | 0.100621i | ||||
\(16\) | 0.566532 | − | 3.21296i | 0.141633 | − | 0.803241i | ||||
\(17\) | 0.150378 | 0.0364719 | 0.0182360 | − | 0.999834i | \(-0.494195\pi\) | ||||
0.0182360 | + | 0.999834i | \(0.494195\pi\) | |||||||
\(18\) | 0.123089 | + | 1.05579i | 0.0290124 | + | 0.248853i | ||||
\(19\) | −5.71705 | −1.31158 | −0.655791 | − | 0.754943i | \(-0.727665\pi\) | ||||
−0.655791 | + | 0.754943i | \(0.727665\pi\) | |||||||
\(20\) | −1.26051 | + | 0.458786i | −0.281858 | + | 0.102588i | ||||
\(21\) | 4.56195 | − | 0.434288i | 0.995499 | − | 0.0947693i | ||||
\(22\) | 1.38102 | − | 1.15882i | 0.294435 | − | 0.247060i | ||||
\(23\) | 1.48618 | + | 8.42853i | 0.309889 | + | 1.75747i | 0.599546 | + | 0.800340i | \(0.295348\pi\) |
−0.289657 | + | 0.957131i | \(0.593541\pi\) | |||||||
\(24\) | 0.344261 | + | 2.35267i | 0.0702719 | + | 0.480236i | ||||
\(25\) | −3.43792 | − | 2.88476i | −0.687584 | − | 0.576952i | ||||
\(26\) | 0.357502 | + | 0.619212i | 0.0701119 | + | 0.121437i | ||||
\(27\) | 2.19391 | + | 4.71028i | 0.422218 | + | 0.906495i | ||||
\(28\) | 4.92119 | − | 0.614114i | 0.930017 | − | 0.116057i | ||||
\(29\) | −0.930281 | + | 5.27589i | −0.172749 | + | 0.979707i | 0.767961 | + | 0.640496i | \(0.221271\pi\) |
−0.940710 | + | 0.339211i | \(0.889840\pi\) | |||||||
\(30\) | 0.344531 | − | 0.272338i | 0.0629025 | − | 0.0497218i | ||||
\(31\) | 3.54974 | − | 2.97858i | 0.637552 | − | 0.534969i | −0.265714 | − | 0.964052i | \(-0.585608\pi\) |
0.903265 | + | 0.429083i | \(0.141163\pi\) | |||||||
\(32\) | 0.677491 | + | 3.84224i | 0.119765 | + | 0.679219i | ||||
\(33\) | 4.62767 | − | 7.50012i | 0.805573 | − | 1.30560i | ||||
\(34\) | −0.0500677 | + | 0.0182232i | −0.00858654 | + | 0.00312525i | ||||
\(35\) | −1.14243 | − | 1.50985i | −0.193106 | − | 0.255210i | ||||
\(36\) | 2.52229 | + | 5.02598i | 0.420381 | + | 0.837664i | ||||
\(37\) | −2.68940 | + | 4.65817i | −0.442134 | + | 0.765799i | −0.997848 | − | 0.0655752i | \(-0.979112\pi\) |
0.555714 | + | 0.831374i | \(0.312445\pi\) | |||||||
\(38\) | 1.90347 | − | 0.692808i | 0.308784 | − | 0.112388i | ||||
\(39\) | 2.61071 | + | 2.32402i | 0.418048 | + | 0.372141i | ||||
\(40\) | 0.752552 | − | 0.631466i | 0.118989 | − | 0.0998436i | ||||
\(41\) | −0.573052 | − | 3.24994i | −0.0894957 | − | 0.507556i | −0.996296 | − | 0.0859942i | \(-0.972593\pi\) |
0.906800 | − | 0.421561i | \(-0.138518\pi\) | |||||||
\(42\) | −1.46626 | + | 0.697424i | −0.226249 | + | 0.107615i | ||||
\(43\) | 0.837375 | + | 0.702641i | 0.127699 | + | 0.107152i | 0.704400 | − | 0.709803i | \(-0.251216\pi\) |
−0.576702 | + | 0.816955i | \(0.695661\pi\) | |||||||
\(44\) | 4.76875 | − | 8.25971i | 0.718916 | − | 1.24520i | ||||
\(45\) | 1.18025 | − | 1.79333i | 0.175941 | − | 0.267333i | ||||
\(46\) | −1.51621 | − | 2.62615i | −0.223553 | − | 0.387205i | ||||
\(47\) | −0.865979 | − | 0.726643i | −0.126316 | − | 0.105992i | 0.577441 | − | 0.816432i | \(-0.304051\pi\) |
−0.703757 | + | 0.710441i | \(0.748496\pi\) | |||||||
\(48\) | 2.68117 | + | 4.97429i | 0.386993 | + | 0.717977i | ||||
\(49\) | 2.87239 | + | 6.38352i | 0.410342 | + | 0.911932i | ||||
\(50\) | 1.49423 | + | 0.543854i | 0.211316 | + | 0.0769126i | ||||
\(51\) | −0.204334 | + | 0.161517i | −0.0286125 | + | 0.0226170i | ||||
\(52\) | 2.89768 | + | 2.43144i | 0.401835 | + | 0.337180i | ||||
\(53\) | −3.93191 | + | 6.81027i | −0.540089 | + | 0.935462i | 0.458809 | + | 0.888535i | \(0.348276\pi\) |
−0.998898 | + | 0.0469274i | \(0.985057\pi\) | |||||||
\(54\) | −1.30126 | − | 1.30241i | −0.177079 | − | 0.177236i | ||||
\(55\) | −3.64116 | −0.490974 | ||||||||
\(56\) | −3.23290 | + | 1.65529i | −0.432014 | + | 0.221198i | ||||
\(57\) | 7.76836 | − | 6.14056i | 1.02894 | − | 0.813338i | ||||
\(58\) | −0.329612 | − | 1.86932i | −0.0432802 | − | 0.245454i | ||||
\(59\) | −1.52775 | − | 8.66431i | −0.198896 | − | 1.12800i | −0.906760 | − | 0.421648i | \(-0.861452\pi\) |
0.707863 | − | 0.706349i | \(-0.249659\pi\) | |||||||
\(60\) | 1.22001 | − | 1.97728i | 0.157503 | − | 0.255266i | ||||
\(61\) | −7.14771 | − | 5.99764i | −0.915170 | − | 0.767919i | 0.0579255 | − | 0.998321i | \(-0.481551\pi\) |
−0.973096 | + | 0.230402i | \(0.925996\pi\) | |||||||
\(62\) | −0.820921 | + | 1.42188i | −0.104257 | + | 0.180578i | ||||
\(63\) | −5.73235 | + | 5.49001i | −0.722208 | + | 0.691676i | ||||
\(64\) | 2.57135 | + | 4.45370i | 0.321418 | + | 0.556713i | ||||
\(65\) | 0.250768 | − | 1.42218i | 0.0311039 | − | 0.176399i | ||||
\(66\) | −0.631882 | + | 3.05793i | −0.0777793 | + | 0.376405i | ||||
\(67\) | −2.45427 | − | 0.893282i | −0.299837 | − | 0.109132i | 0.187721 | − | 0.982222i | \(-0.439890\pi\) |
−0.487558 | + | 0.873091i | \(0.662112\pi\) | |||||||
\(68\) | −0.215930 | + | 0.181187i | −0.0261854 | + | 0.0219721i | ||||
\(69\) | −11.0723 | − | 9.85647i | −1.33295 | − | 1.18658i | ||||
\(70\) | 0.563336 | + | 0.364255i | 0.0673315 | + | 0.0435368i | ||||
\(71\) | −0.174740 | − | 0.302658i | −0.0207378 | − | 0.0359189i | 0.855470 | − | 0.517852i | \(-0.173268\pi\) |
−0.876208 | + | 0.481933i | \(0.839935\pi\) | |||||||
\(72\) | −2.99473 | − | 2.82705i | −0.352933 | − | 0.333172i | ||||
\(73\) | 6.86264 | + | 11.8864i | 0.803211 | + | 1.39120i | 0.917492 | + | 0.397755i | \(0.130210\pi\) |
−0.114280 | + | 0.993449i | \(0.536456\pi\) | |||||||
\(74\) | 0.330936 | − | 1.87683i | 0.0384705 | − | 0.218177i | ||||
\(75\) | 7.76993 | + | 0.227228i | 0.897194 | + | 0.0262380i | ||||
\(76\) | 8.20923 | − | 6.88836i | 0.941663 | − | 0.790149i | ||||
\(77\) | 13.1228 | + | 3.00236i | 1.49549 | + | 0.342151i | ||||
\(78\) | −1.15086 | − | 0.457403i | −0.130309 | − | 0.0517907i | ||||
\(79\) | −5.81489 | + | 2.11645i | −0.654226 | + | 0.238119i | −0.647742 | − | 0.761860i | \(-0.724286\pi\) |
−0.00648464 | + | 0.999979i | \(0.502064\pi\) | |||||||
\(80\) | 1.16736 | − | 2.02193i | 0.130515 | − | 0.226059i | ||||
\(81\) | −8.04031 | − | 4.04393i | −0.893368 | − | 0.449326i | ||||
\(82\) | 0.584633 | + | 1.01261i | 0.0645619 | + | 0.111824i | ||||
\(83\) | −1.70577 | + | 9.67392i | −0.187233 | + | 1.06185i | 0.735820 | + | 0.677177i | \(0.236797\pi\) |
−0.923053 | + | 0.384673i | \(0.874314\pi\) | |||||||
\(84\) | −6.02733 | + | 6.12021i | −0.657636 | + | 0.667769i | ||||
\(85\) | 0.101123 | + | 0.0368059i | 0.0109684 | + | 0.00399216i | ||||
\(86\) | −0.363949 | − | 0.132467i | −0.0392457 | − | 0.0142843i | ||||
\(87\) | −4.40265 | − | 8.16810i | −0.472013 | − | 0.875712i | ||||
\(88\) | −1.21291 | + | 6.87875i | −0.129297 | + | 0.733277i | ||||
\(89\) | 13.4648 | 1.42726 | 0.713630 | − | 0.700522i | \(-0.247050\pi\) | ||||
0.713630 | + | 0.700522i | \(0.247050\pi\) | |||||||
\(90\) | −0.175639 | + | 0.740108i | −0.0185140 | + | 0.0780142i | ||||
\(91\) | −2.07644 | + | 4.91878i | −0.217671 | + | 0.515629i | ||||
\(92\) | −12.2894 | − | 10.3120i | −1.28126 | − | 1.07510i | ||||
\(93\) | −1.62417 | + | 7.86002i | −0.168419 | + | 0.815046i | ||||
\(94\) | 0.376382 | + | 0.136992i | 0.0388208 | + | 0.0141296i | ||||
\(95\) | −3.84450 | − | 1.39928i | −0.394438 | − | 0.143564i | ||||
\(96\) | −5.04745 | − | 4.49318i | −0.515154 | − | 0.458584i | ||||
\(97\) | −12.7314 | − | 10.6829i | −1.29267 | − | 1.08468i | −0.991362 | − | 0.131155i | \(-0.958131\pi\) |
−0.301311 | − | 0.953526i | \(-0.597424\pi\) | |||||||
\(98\) | −1.72993 | − | 1.77729i | −0.174749 | − | 0.179533i | ||||
\(99\) | 1.76762 | + | 15.1617i | 0.177652 | + | 1.52381i | ||||
\(100\) | 8.41237 | 0.841237 | ||||||||
\(101\) | 2.80080 | − | 15.8842i | 0.278691 | − | 1.58053i | −0.448299 | − | 0.893884i | \(-0.647970\pi\) |
0.726989 | − | 0.686649i | \(-0.240919\pi\) | |||||||
\(102\) | 0.0484592 | − | 0.0785384i | 0.00479818 | − | 0.00777646i | ||||
\(103\) | −1.89680 | − | 0.690380i | −0.186898 | − | 0.0680252i | 0.246876 | − | 0.969047i | \(-0.420596\pi\) |
−0.433774 | + | 0.901022i | \(0.642818\pi\) | |||||||
\(104\) | −2.60319 | − | 0.947483i | −0.255264 | − | 0.0929083i | ||||
\(105\) | 3.17404 | + | 0.824524i | 0.309754 | + | 0.0804654i | ||||
\(106\) | 0.483830 | − | 2.74394i | 0.0469937 | − | 0.266515i | ||||
\(107\) | −3.88151 | − | 6.72298i | −0.375240 | − | 0.649935i | 0.615123 | − | 0.788431i | \(-0.289106\pi\) |
−0.990363 | + | 0.138496i | \(0.955773\pi\) | |||||||
\(108\) | −8.82560 | − | 4.12020i | −0.849244 | − | 0.396466i | ||||
\(109\) | 0.400182 | − | 0.693136i | 0.0383305 | − | 0.0663904i | −0.846224 | − | 0.532828i | \(-0.821129\pi\) |
0.884554 | + | 0.466437i | \(0.154463\pi\) | |||||||
\(110\) | 1.21231 | − | 0.441246i | 0.115590 | − | 0.0420712i | ||||
\(111\) | −1.34888 | − | 9.21818i | −0.128030 | − | 0.874951i | ||||
\(112\) | −5.87442 | + | 6.32454i | −0.555080 | + | 0.597613i | ||||
\(113\) | −5.75537 | + | 4.82933i | −0.541420 | + | 0.454305i | −0.872023 | − | 0.489465i | \(-0.837192\pi\) |
0.330603 | + | 0.943770i | \(0.392748\pi\) | |||||||
\(114\) | −1.84232 | + | 2.98587i | −0.172549 | + | 0.279653i | ||||
\(115\) | −1.06354 | + | 6.03163i | −0.0991755 | + | 0.562452i | ||||
\(116\) | −5.02100 | − | 8.69663i | −0.466188 | − | 0.807462i | ||||
\(117\) | −6.04363 | − | 0.353789i | −0.558734 | − | 0.0327078i | ||||
\(118\) | 1.55862 | + | 2.69962i | 0.143483 | + | 0.248520i | ||||
\(119\) | −0.334102 | − | 0.216032i | −0.0306271 | − | 0.0198036i | ||||
\(120\) | −0.344328 | + | 1.66634i | −0.0314327 | + | 0.152115i | ||||
\(121\) | 11.4056 | − | 9.57048i | 1.03688 | − | 0.870043i | ||||
\(122\) | 3.10662 | + | 1.13072i | 0.281260 | + | 0.102370i | ||||
\(123\) | 4.26936 | + | 3.80054i | 0.384955 | + | 0.342683i | ||||
\(124\) | −1.50830 | + | 8.55402i | −0.135450 | + | 0.768173i | ||||
\(125\) | −3.39486 | − | 5.88007i | −0.303646 | − | 0.525930i | ||||
\(126\) | 1.24327 | − | 2.52254i | 0.110759 | − | 0.224726i | ||||
\(127\) | 6.72543 | − | 11.6488i | 0.596785 | − | 1.03366i | −0.396507 | − | 0.918032i | \(-0.629778\pi\) |
0.993292 | − | 0.115631i | \(-0.0368889\pi\) | |||||||
\(128\) | −7.37330 | − | 6.18694i | −0.651714 | − | 0.546853i | ||||
\(129\) | −1.89252 | − | 0.0553459i | −0.166627 | − | 0.00487294i | ||||
\(130\) | 0.0888507 | + | 0.503898i | 0.00779272 | + | 0.0441947i | ||||
\(131\) | 0.467421 | + | 2.65088i | 0.0408388 | + | 0.231608i | 0.998395 | − | 0.0566393i | \(-0.0180385\pi\) |
−0.957556 | + | 0.288248i | \(0.906927\pi\) | |||||||
\(132\) | 2.39178 | + | 16.3454i | 0.208178 | + | 1.42268i | ||||
\(133\) | 12.7019 | + | 8.21308i | 1.10139 | + | 0.712165i | ||||
\(134\) | 0.925393 | 0.0799417 | ||||||||
\(135\) | 0.322448 | + | 3.70446i | 0.0277519 | + | 0.318829i | ||||
\(136\) | 0.103217 | − | 0.178778i | 0.00885083 | − | 0.0153301i | ||||
\(137\) | 15.5520 | + | 13.0497i | 1.32870 | + | 1.11491i | 0.984380 | + | 0.176057i | \(0.0563344\pi\) |
0.344318 | + | 0.938853i | \(0.388110\pi\) | |||||||
\(138\) | 4.88093 | + | 1.93990i | 0.415493 | + | 0.165136i | ||||
\(139\) | 5.28030 | + | 1.92187i | 0.447869 | + | 0.163011i | 0.556101 | − | 0.831115i | \(-0.312297\pi\) |
−0.108232 | + | 0.994126i | \(0.534519\pi\) | |||||||
\(140\) | 3.45962 | + | 0.791524i | 0.292392 | + | 0.0668960i | ||||
\(141\) | 1.95717 | + | 0.0572365i | 0.164823 | + | 0.00482018i | ||||
\(142\) | 0.0948560 | + | 0.0795936i | 0.00796014 | + | 0.00667935i | ||||
\(143\) | 5.13390 | + | 8.89217i | 0.429318 | + | 0.743601i | ||||
\(144\) | −8.98597 | − | 3.87931i | −0.748831 | − | 0.323276i | ||||
\(145\) | −1.91689 | + | 3.32014i | −0.159189 | + | 0.275723i | ||||
\(146\) | −3.72533 | − | 3.12592i | −0.308310 | − | 0.258703i | ||||
\(147\) | −10.7594 | − | 5.58879i | −0.887423 | − | 0.460956i | ||||
\(148\) | −1.75078 | − | 9.92917i | −0.143913 | − | 0.816172i | ||||
\(149\) | −1.93670 | + | 1.62508i | −0.158661 | + | 0.133132i | −0.718662 | − | 0.695360i | \(-0.755245\pi\) |
0.560001 | + | 0.828492i | \(0.310801\pi\) | |||||||
\(150\) | −2.61451 | + | 0.865926i | −0.213474 | + | 0.0707026i | ||||
\(151\) | 11.7355 | − | 4.27138i | 0.955022 | − | 0.347600i | 0.182941 | − | 0.983124i | \(-0.441438\pi\) |
0.772081 | + | 0.635524i | \(0.219216\pi\) | |||||||
\(152\) | −3.92412 | + | 6.79677i | −0.318288 | + | 0.551291i | ||||
\(153\) | 0.104168 | − | 0.438942i | 0.00842146 | − | 0.0354863i | ||||
\(154\) | −4.73304 | + | 0.590635i | −0.381399 | + | 0.0475947i | ||||
\(155\) | 3.11609 | − | 1.13417i | 0.250291 | − | 0.0910983i | ||||
\(156\) | −6.54894 | − | 0.191521i | −0.524335 | − | 0.0153339i | ||||
\(157\) | −0.371726 | − | 2.10816i | −0.0296669 | − | 0.168250i | 0.966375 | − | 0.257138i | \(-0.0827796\pi\) |
−0.996042 | + | 0.0888887i | \(0.971668\pi\) | |||||||
\(158\) | 1.67957 | − | 1.40933i | 0.133620 | − | 0.112120i | ||||
\(159\) | −1.97206 | − | 13.4770i | −0.156395 | − | 1.06880i | ||||
\(160\) | −0.484826 | + | 2.74959i | −0.0383289 | + | 0.217374i | ||||
\(161\) | 8.80646 | − | 20.8612i | 0.694046 | − | 1.64409i | ||||
\(162\) | 3.16705 | + | 0.372068i | 0.248827 | + | 0.0292324i | ||||
\(163\) | 1.46087 | + | 2.53031i | 0.114425 | + | 0.198189i | 0.917550 | − | 0.397621i | \(-0.130164\pi\) |
−0.803125 | + | 0.595811i | \(0.796831\pi\) | |||||||
\(164\) | 4.73865 | + | 3.97620i | 0.370026 | + | 0.310489i | ||||
\(165\) | 4.94763 | − | 3.91090i | 0.385173 | − | 0.304463i | ||||
\(166\) | −0.604380 | − | 3.42761i | −0.0469090 | − | 0.266034i | ||||
\(167\) | 3.37327 | − | 2.83051i | 0.261031 | − | 0.219031i | −0.502874 | − | 0.864360i | \(-0.667724\pi\) |
0.763905 | + | 0.645329i | \(0.223280\pi\) | |||||||
\(168\) | 2.61497 | − | 5.72161i | 0.201749 | − | 0.441432i | ||||
\(169\) | 8.38930 | − | 3.05346i | 0.645331 | − | 0.234881i | ||||
\(170\) | −0.0381289 | −0.00292435 | ||||||||
\(171\) | −3.96025 | + | 16.6877i | −0.302848 | + | 1.27614i | ||||
\(172\) | −2.04900 | −0.156235 | ||||||||
\(173\) | −1.50348 | + | 8.52665i | −0.114307 | + | 0.648269i | 0.872783 | + | 0.488108i | \(0.162313\pi\) |
−0.987091 | + | 0.160162i | \(0.948798\pi\) | |||||||
\(174\) | 2.45568 | + | 2.18602i | 0.186165 | + | 0.165722i | ||||
\(175\) | 3.49399 | + | 11.3481i | 0.264121 | + | 0.857838i | ||||
\(176\) | 2.88259 | + | 16.3480i | 0.217283 | + | 1.23227i | ||||
\(177\) | 11.3821 | + | 10.1322i | 0.855529 | + | 0.761582i | ||||
\(178\) | −4.48304 | + | 1.63169i | −0.336018 | + | 0.122301i | ||||
\(179\) | −1.56390 | −0.116891 | −0.0584456 | − | 0.998291i | \(-0.518614\pi\) | ||||
−0.0584456 | + | 0.998291i | \(0.518614\pi\) | |||||||
\(180\) | 0.466004 | + | 3.99713i | 0.0347339 | + | 0.297929i | ||||
\(181\) | −7.11167 | + | 12.3178i | −0.528606 | + | 0.915573i | 0.470838 | + | 0.882220i | \(0.343952\pi\) |
−0.999444 | + | 0.0333526i | \(0.989382\pi\) | |||||||
\(182\) | 0.0952741 | − | 1.88932i | 0.00706219 | − | 0.140046i | ||||
\(183\) | 16.1543 | + | 0.472424i | 1.19416 | + | 0.0349226i | ||||
\(184\) | 11.0404 | + | 4.01839i | 0.813912 | + | 0.296240i | ||||
\(185\) | −2.94864 | + | 2.47420i | −0.216788 | + | 0.181907i | ||||
\(186\) | −0.411736 | − | 2.81379i | −0.0301899 | − | 0.206317i | ||||
\(187\) | −0.718996 | + | 0.261693i | −0.0525782 | + | 0.0191369i | ||||
\(188\) | 2.11900 | 0.154544 | ||||||||
\(189\) | 1.89244 | − | 13.6169i | 0.137655 | − | 0.990480i | ||||
\(190\) | 1.44958 | 0.105164 | ||||||||
\(191\) | −18.1815 | + | 6.61754i | −1.31557 | + | 0.478828i | −0.902036 | − | 0.431661i | \(-0.857928\pi\) |
−0.413533 | + | 0.910489i | \(0.635705\pi\) | |||||||
\(192\) | −8.27759 | − | 3.28989i | −0.597383 | − | 0.237427i | ||||
\(193\) | −2.15662 | + | 1.80962i | −0.155237 | + | 0.130259i | −0.717098 | − | 0.696972i | \(-0.754530\pi\) |
0.561861 | + | 0.827232i | \(0.310086\pi\) | |||||||
\(194\) | 5.53344 | + | 2.01401i | 0.397278 | + | 0.144597i | ||||
\(195\) | 1.18678 | + | 2.20181i | 0.0849874 | + | 0.157675i | ||||
\(196\) | −11.8159 | − | 5.70534i | −0.843994 | − | 0.407524i | ||||
\(197\) | −0.826620 | + | 1.43175i | −0.0588943 | + | 0.102008i | −0.893969 | − | 0.448128i | \(-0.852091\pi\) |
0.835075 | + | 0.550136i | \(0.185424\pi\) | |||||||
\(198\) | −2.42586 | − | 4.83383i | −0.172398 | − | 0.343525i | ||||
\(199\) | 5.95513 | 0.422148 | 0.211074 | − | 0.977470i | \(-0.432304\pi\) | ||||
0.211074 | + | 0.977470i | \(0.432304\pi\) | |||||||
\(200\) | −5.78933 | + | 2.10714i | −0.409367 | + | 0.148997i | ||||
\(201\) | 4.29434 | − | 1.42229i | 0.302899 | − | 0.100320i | ||||
\(202\) | 0.992366 | + | 5.62799i | 0.0698226 | + | 0.395984i | ||||
\(203\) | 9.64616 | − | 10.3853i | 0.677028 | − | 0.728904i | ||||
\(204\) | 0.0987982 | − | 0.478124i | 0.00691725 | − | 0.0334754i | ||||
\(205\) | 0.410088 | − | 2.32572i | 0.0286418 | − | 0.162435i | ||||
\(206\) | 0.715197 | 0.0498301 | ||||||||
\(207\) | 25.6318 | + | 1.50046i | 1.78153 | + | 0.104289i | ||||
\(208\) | −6.58375 | −0.456501 | ||||||||
\(209\) | 27.3348 | − | 9.94905i | 1.89079 | − | 0.688190i | ||||
\(210\) | −1.15670 | + | 0.110116i | −0.0798201 | + | 0.00759870i | ||||
\(211\) | −8.68441 | + | 7.28708i | −0.597859 | + | 0.501664i | −0.890757 | − | 0.454480i | \(-0.849825\pi\) |
0.292897 | + | 0.956144i | \(0.405381\pi\) | |||||||
\(212\) | −2.55965 | − | 14.5165i | −0.175797 | − | 0.996997i | ||||
\(213\) | 0.562517 | + | 0.223570i | 0.0385430 | + | 0.0153187i | ||||
\(214\) | 2.10705 | + | 1.76802i | 0.144035 | + | 0.120859i | ||||
\(215\) | 0.391128 | + | 0.677453i | 0.0266747 | + | 0.0462019i | ||||
\(216\) | 7.10574 | + | 0.624838i | 0.483485 | + | 0.0425148i | ||||
\(217\) | −12.1657 | + | 1.51815i | −0.825859 | + | 0.103059i | ||||
\(218\) | −0.0492433 | + | 0.279273i | −0.00333518 | + | 0.0189147i | ||||
\(219\) | −22.0920 | − | 8.78035i | −1.49284 | − | 0.593321i | ||||
\(220\) | 5.22842 | − | 4.38717i | 0.352500 | − | 0.295783i | ||||
\(221\) | −0.0526954 | − | 0.298850i | −0.00354468 | − | 0.0201029i | ||||
\(222\) | 1.56619 | + | 2.90570i | 0.105116 | + | 0.195018i | ||||
\(223\) | 13.1147 | − | 4.77338i | 0.878228 | − | 0.319649i | 0.136734 | − | 0.990608i | \(-0.456340\pi\) |
0.741494 | + | 0.670959i | \(0.234117\pi\) | |||||||
\(224\) | 4.01453 | − | 9.50980i | 0.268232 | − | 0.635401i | ||||
\(225\) | −10.8019 | + | 8.03676i | −0.720126 | + | 0.535784i | ||||
\(226\) | 1.33100 | − | 2.30536i | 0.0885369 | − | 0.153350i | ||||
\(227\) | −0.536041 | + | 0.195103i | −0.0355783 | + | 0.0129494i | −0.359748 | − | 0.933050i | \(-0.617137\pi\) |
0.324170 | + | 0.945999i | \(0.394915\pi\) | |||||||
\(228\) | −3.75611 | + | 18.1773i | −0.248754 | + | 1.20382i | ||||
\(229\) | −9.04394 | + | 7.58877i | −0.597640 | + | 0.501480i | −0.890686 | − | 0.454619i | \(-0.849776\pi\) |
0.293046 | + | 0.956098i | \(0.405331\pi\) | |||||||
\(230\) | −0.376827 | − | 2.13709i | −0.0248472 | − | 0.140916i | ||||
\(231\) | −21.0562 | + | 10.0153i | −1.38539 | + | 0.658961i | ||||
\(232\) | 5.63376 | + | 4.72728i | 0.369874 | + | 0.310361i | ||||
\(233\) | −0.303597 | + | 0.525845i | −0.0198893 | + | 0.0344492i | −0.875799 | − | 0.482676i | \(-0.839665\pi\) |
0.855909 | + | 0.517126i | \(0.172998\pi\) | |||||||
\(234\) | 2.05508 | − | 0.614591i | 0.134345 | − | 0.0401770i | ||||
\(235\) | −0.404488 | − | 0.700594i | −0.0263859 | − | 0.0457017i | ||||
\(236\) | 12.6332 | + | 10.6005i | 0.822351 | + | 0.690034i | ||||
\(237\) | 5.62808 | − | 9.12149i | 0.365583 | − | 0.592505i | ||||
\(238\) | 0.137417 | + | 0.0314396i | 0.00890745 | + | 0.00203793i | ||||
\(239\) | −26.4949 | − | 9.64335i | −1.71381 | − | 0.623776i | −0.716536 | − | 0.697550i | \(-0.754273\pi\) |
−0.997275 | + | 0.0737740i | \(0.976496\pi\) | |||||||
\(240\) | 0.585496 | + | 4.00126i | 0.0377936 | + | 0.258280i | ||||
\(241\) | −15.7579 | − | 13.2225i | −1.01506 | − | 0.851733i | −0.0260580 | − | 0.999660i | \(-0.508295\pi\) |
−0.988998 | + | 0.147927i | \(0.952740\pi\) | |||||||
\(242\) | −2.63770 | + | 4.56863i | −0.169558 | + | 0.293682i | ||||
\(243\) | 15.2687 | − | 3.14101i | 0.979489 | − | 0.201496i | ||||
\(244\) | 17.4900 | 1.11968 | ||||||||
\(245\) | 0.369169 | + | 4.99572i | 0.0235853 | + | 0.319165i | ||||
\(246\) | −1.88203 | − | 0.748003i | −0.119994 | − | 0.0476910i | ||||
\(247\) | 2.00337 | + | 11.3617i | 0.127472 | + | 0.722927i | ||||
\(248\) | −1.10462 | − | 6.26461i | −0.0701434 | − | 0.397803i | ||||
\(249\) | −8.07274 | − | 14.9771i | −0.511589 | − | 0.949136i | ||||
\(250\) | 1.84287 | + | 1.54635i | 0.116553 | + | 0.0977999i | ||||
\(251\) | −11.6654 | + | 20.2050i | −0.736311 | + | 1.27533i | 0.217834 | + | 0.975986i | \(0.430101\pi\) |
−0.954146 | + | 0.299343i | \(0.903233\pi\) | |||||||
\(252\) | 1.61639 | − | 14.7900i | 0.101823 | − | 0.931683i | ||||
\(253\) | −21.7735 | − | 37.7128i | −1.36889 | − | 2.37098i | ||||
\(254\) | −0.827578 | + | 4.69343i | −0.0519269 | + | 0.294492i | ||||
\(255\) | −0.176939 | + | 0.0586024i | −0.0110804 | + | 0.00366982i | ||||
\(256\) | −6.46043 | − | 2.35140i | −0.403777 | − | 0.146963i | ||||
\(257\) | −9.85324 | + | 8.26785i | −0.614628 | + | 0.515734i | −0.896110 | − | 0.443832i | \(-0.853619\pi\) |
0.281482 | + | 0.959567i | \(0.409174\pi\) | |||||||
\(258\) | 0.636816 | − | 0.210914i | 0.0396464 | − | 0.0131309i | ||||
\(259\) | 12.6671 | − | 6.48574i | 0.787094 | − | 0.403005i | ||||
\(260\) | 1.35347 | + | 2.34428i | 0.0839386 | + | 0.145386i | ||||
\(261\) | 14.7555 | + | 6.37007i | 0.913344 | + | 0.394298i | ||||
\(262\) | −0.476867 | − | 0.825958i | −0.0294609 | − | 0.0510278i | ||||
\(263\) | 0.398867 | − | 2.26209i | 0.0245952 | − | 0.139486i | −0.970037 | − | 0.242955i | \(-0.921883\pi\) |
0.994633 | + | 0.103469i | \(0.0329943\pi\) | |||||||
\(264\) | −5.74021 | − | 10.6496i | −0.353286 | − | 0.655440i | ||||
\(265\) | −4.31092 | + | 3.61729i | −0.264818 | + | 0.222208i | ||||
\(266\) | −5.22433 | − | 1.19527i | −0.320325 | − | 0.0732867i | ||||
\(267\) | −18.2960 | + | 14.4622i | −1.11970 | + | 0.885073i | ||||
\(268\) | 4.60044 | − | 1.67442i | 0.281017 | − | 0.102282i | ||||
\(269\) | −13.5740 | + | 23.5109i | −0.827623 | + | 1.43349i | 0.0722750 | + | 0.997385i | \(0.476974\pi\) |
−0.899898 | + | 0.436100i | \(0.856359\pi\) | |||||||
\(270\) | −0.556275 | − | 1.19431i | −0.0338538 | − | 0.0726836i | ||||
\(271\) | −6.12956 | − | 10.6167i | −0.372344 | − | 0.644919i | 0.617581 | − | 0.786507i | \(-0.288113\pi\) |
−0.989926 | + | 0.141588i | \(0.954779\pi\) | |||||||
\(272\) | 0.0851937 | − | 0.483157i | 0.00516563 | − | 0.0292957i | ||||
\(273\) | −2.46168 | − | 8.91394i | −0.148987 | − | 0.539496i | ||||
\(274\) | −6.75939 | − | 2.46022i | −0.408350 | − | 0.148627i | ||||
\(275\) | 21.4578 | + | 7.81001i | 1.29396 | + | 0.470961i | ||||
\(276\) | 27.7749 | + | 0.812263i | 1.67185 | + | 0.0488925i | ||||
\(277\) | 2.34696 | − | 13.3103i | 0.141015 | − | 0.799736i | −0.829466 | − | 0.558557i | \(-0.811355\pi\) |
0.970481 | − | 0.241178i | \(-0.0775338\pi\) | |||||||
\(278\) | −1.99096 | −0.119410 | ||||||||
\(279\) | −6.23535 | − | 12.4247i | −0.373300 | − | 0.743849i | ||||
\(280\) | −2.57915 | + | 0.321851i | −0.154134 | + | 0.0192343i | ||||
\(281\) | −22.8526 | − | 19.1756i | −1.36327 | − | 1.14392i | −0.974957 | − | 0.222394i | \(-0.928613\pi\) |
−0.388315 | − | 0.921527i | \(-0.626943\pi\) | |||||||
\(282\) | −0.658569 | + | 0.218118i | −0.0392172 | + | 0.0129888i | ||||
\(283\) | −0.726887 | − | 0.264565i | −0.0432089 | − | 0.0157268i | 0.320325 | − | 0.947308i | \(-0.396208\pi\) |
−0.363534 | + | 0.931581i | \(0.618430\pi\) | |||||||
\(284\) | 0.615580 | + | 0.224053i | 0.0365279 | + | 0.0132951i | ||||
\(285\) | 6.72688 | − | 2.22794i | 0.398466 | − | 0.131972i | ||||
\(286\) | −2.78689 | − | 2.33848i | −0.164792 | − | 0.138277i | ||||
\(287\) | −3.39567 | + | 8.04382i | −0.200440 | + | 0.474812i | ||||
\(288\) | 11.6845 | + | 0.684003i | 0.688518 | + | 0.0403053i | ||||
\(289\) | −16.9774 | −0.998670 | ||||||||
\(290\) | 0.235877 | − | 1.33772i | 0.0138512 | − | 0.0785539i | ||||
\(291\) | 28.7737 | + | 0.841473i | 1.68674 | + | 0.0493280i | ||||
\(292\) | −24.1760 | − | 8.79933i | −1.41479 | − | 0.514942i | ||||
\(293\) | 3.09760 | + | 1.12743i | 0.180964 | + | 0.0658654i | 0.430913 | − | 0.902394i | \(-0.358192\pi\) |
−0.249949 | + | 0.968259i | \(0.580414\pi\) | |||||||
\(294\) | 4.25958 | + | 0.556913i | 0.248424 | + | 0.0324798i | ||||
\(295\) | 1.09329 | − | 6.20035i | 0.0636538 | − | 0.360999i | ||||
\(296\) | 3.69194 | + | 6.39463i | 0.214590 | + | 0.371681i | ||||
\(297\) | −18.6867 | − | 18.7032i | −1.08431 | − | 1.08527i | ||||
\(298\) | 0.447885 | − | 0.775760i | 0.0259453 | − | 0.0449386i | ||||
\(299\) | 16.2295 | − | 5.90706i | 0.938578 | − | 0.341614i | ||||
\(300\) | −11.4308 | + | 9.03555i | −0.659957 | + | 0.521668i | ||||
\(301\) | −0.851032 | − | 2.76407i | −0.0490527 | − | 0.159318i | ||||
\(302\) | −3.38968 | + | 2.84428i | −0.195054 | + | 0.163670i | ||||
\(303\) | 13.2551 | + | 24.5918i | 0.761485 | + | 1.41276i | ||||
\(304\) | −3.23889 | + | 18.3687i | −0.185763 | + | 1.05352i | ||||
\(305\) | −3.33861 | − | 5.78263i | −0.191168 | − | 0.331113i | ||||
\(306\) | 0.0185098 | + | 0.158768i | 0.00105814 | + | 0.00907613i | ||||
\(307\) | 0.162431 | + | 0.281338i | 0.00927040 | + | 0.0160568i | 0.870623 | − | 0.491950i | \(-0.163716\pi\) |
−0.861353 | + | 0.508007i | \(0.830382\pi\) | |||||||
\(308\) | −22.4608 | + | 11.5003i | −1.27983 | + | 0.655290i | ||||
\(309\) | 3.31891 | − | 1.09923i | 0.188806 | − | 0.0625327i | ||||
\(310\) | −0.900052 | + | 0.755233i | −0.0511195 | + | 0.0428944i | ||||
\(311\) | −11.4238 | − | 4.15792i | −0.647784 | − | 0.235774i | −0.00283086 | − | 0.999996i | \(-0.500901\pi\) |
−0.644954 | + | 0.764222i | \(0.723123\pi\) | |||||||
\(312\) | 4.55490 | − | 1.50858i | 0.257870 | − | 0.0854068i | ||||
\(313\) | −4.60076 | + | 26.0922i | −0.260050 | + | 1.47482i | 0.522718 | + | 0.852506i | \(0.324918\pi\) |
−0.782768 | + | 0.622313i | \(0.786193\pi\) | |||||||
\(314\) | 0.379238 | + | 0.656859i | 0.0214016 | + | 0.0370687i | ||||
\(315\) | −5.19850 | + | 2.28880i | −0.292903 | + | 0.128959i | ||||
\(316\) | 5.79966 | − | 10.0453i | 0.326256 | − | 0.565092i | ||||
\(317\) | 9.02799 | + | 7.57538i | 0.507062 | + | 0.425476i | 0.860094 | − | 0.510136i | \(-0.170405\pi\) |
−0.353032 | + | 0.935611i | \(0.614849\pi\) | |||||||
\(318\) | 2.28977 | + | 4.24815i | 0.128404 | + | 0.238224i | ||||
\(319\) | −4.73339 | − | 26.8444i | −0.265019 | − | 1.50300i | ||||
\(320\) | 0.639062 | + | 3.62430i | 0.0357247 | + | 0.202605i | ||||
\(321\) | 12.4952 | + | 4.96617i | 0.697416 | + | 0.277185i | ||||
\(322\) | −0.404069 | + | 8.01285i | −0.0225179 | + | 0.446539i | ||||
\(323\) | −0.859716 | −0.0478359 | ||||||||
\(324\) | 16.4177 | − | 3.88085i | 0.912095 | − | 0.215603i | ||||
\(325\) | −4.52826 | + | 7.84318i | −0.251183 | + | 0.435061i | ||||
\(326\) | −0.793023 | − | 0.665426i | −0.0439215 | − | 0.0368545i | ||||
\(327\) | 0.200713 | + | 1.37167i | 0.0110994 | + | 0.0758533i | ||||
\(328\) | −4.25706 | − | 1.54944i | −0.235057 | − | 0.0855537i | ||||
\(329\) | 0.880103 | + | 2.85848i | 0.0485216 | + | 0.157593i | ||||
\(330\) | −1.17337 | + | 1.90169i | −0.0645917 | + | 0.104684i | ||||
\(331\) | 4.09341 | + | 3.43478i | 0.224994 | + | 0.188793i | 0.748316 | − | 0.663343i | \(-0.230863\pi\) |
−0.523321 | + | 0.852135i | \(0.675307\pi\) | |||||||
\(332\) | −9.20656 | − | 15.9462i | −0.505276 | − | 0.875163i | ||||
\(333\) | 11.7339 | + | 11.0769i | 0.643014 | + | 0.607011i | ||||
\(334\) | −0.780110 | + | 1.35119i | −0.0426857 | + | 0.0739339i | ||||
\(335\) | −1.43177 | − | 1.20140i | −0.0782260 | − | 0.0656394i | ||||
\(336\) | 1.18914 | − | 14.9034i | 0.0648730 | − | 0.813048i | ||||
\(337\) | 3.67481 | + | 20.8409i | 0.200180 | + | 1.13527i | 0.904847 | + | 0.425737i | \(0.139985\pi\) |
−0.704667 | + | 0.709538i | \(0.748904\pi\) | |||||||
\(338\) | −2.42316 | + | 2.03328i | −0.131803 | + | 0.110596i | ||||
\(339\) | 2.63335 | − | 12.7439i | 0.143024 | − | 0.692151i | ||||
\(340\) | −0.189552 | + | 0.0689912i | −0.0102799 | + | 0.00374157i | ||||
\(341\) | −11.7888 | + | 20.4188i | −0.638400 | + | 1.10574i | ||||
\(342\) | −0.703706 | − | 6.03602i | −0.0380521 | − | 0.326391i | ||||
\(343\) | 2.78878 | − | 18.3091i | 0.150580 | − | 0.988598i | ||||
\(344\) | 1.41011 | − | 0.513237i | 0.0760279 | − | 0.0276719i | ||||
\(345\) | −5.03330 | − | 9.33813i | −0.270984 | − | 0.502748i | ||||
\(346\) | −0.532704 | − | 3.02112i | −0.0286384 | − | 0.162416i | ||||
\(347\) | −2.04113 | + | 1.71271i | −0.109573 | + | 0.0919430i | −0.695928 | − | 0.718111i | \(-0.745007\pi\) |
0.586355 | + | 0.810054i | \(0.300562\pi\) | |||||||
\(348\) | 16.1634 | + | 6.42408i | 0.866451 | + | 0.344367i | ||||
\(349\) | 0.406133 | − | 2.30330i | 0.0217398 | − | 0.123293i | −0.972007 | − | 0.234954i | \(-0.924506\pi\) |
0.993746 | + | 0.111661i | \(0.0356172\pi\) | |||||||
\(350\) | −2.53851 | − | 3.35491i | −0.135689 | − | 0.179328i | ||||
\(351\) | 8.59212 | − | 6.01061i | 0.458613 | − | 0.320822i | ||||
\(352\) | −9.92570 | − | 17.1918i | −0.529042 | − | 0.916327i | ||||
\(353\) | 20.2826 | + | 17.0191i | 1.07954 | + | 0.905838i | 0.995882 | − | 0.0906571i | \(-0.0288967\pi\) |
0.0836533 | + | 0.996495i | \(0.473341\pi\) | |||||||
\(354\) | −5.01747 | − | 1.99417i | −0.266676 | − | 0.105989i | ||||
\(355\) | −0.0434285 | − | 0.246295i | −0.00230494 | − | 0.0130720i | ||||
\(356\) | −19.3343 | + | 16.2234i | −1.02472 | + | 0.859839i | ||||
\(357\) | 0.686015 | − | 0.0653071i | 0.0363078 | − | 0.00345642i | ||||
\(358\) | 0.520695 | − | 0.189517i | 0.0275196 | − | 0.0100163i | ||||
\(359\) | −12.6188 | −0.665993 | −0.332996 | − | 0.942928i | \(-0.608060\pi\) | ||||
−0.332996 | + | 0.942928i | \(0.608060\pi\) | |||||||
\(360\) | −1.32191 | − | 2.63407i | −0.0696706 | − | 0.138828i | ||||
\(361\) | 13.6847 | 0.720245 | ||||||||
\(362\) | 0.875106 | − | 4.96297i | 0.0459945 | − | 0.260848i | ||||
\(363\) | −5.21862 | + | 25.2550i | −0.273906 | + | 1.32554i | ||||
\(364\) | −2.94494 | − | 9.56485i | −0.154357 | − | 0.501334i | ||||
\(365\) | 1.70559 | + | 9.67287i | 0.0892745 | + | 0.506301i | ||||
\(366\) | −5.43577 | + | 1.80033i | −0.284132 | + | 0.0941046i | ||||
\(367\) | −12.5033 | + | 4.55083i | −0.652668 | + | 0.237552i | −0.647067 | − | 0.762433i | \(-0.724005\pi\) |
−0.00560008 | + | 0.999984i | \(0.501783\pi\) | |||||||
\(368\) | 27.9225 | 1.45556 | ||||||||
\(369\) | −9.88331 | − | 0.578560i | −0.514505 | − | 0.0301186i | ||||
\(370\) | 0.681909 | − | 1.18110i | 0.0354507 | − | 0.0614025i | ||||
\(371\) | 18.5193 | − | 9.48219i | 0.961476 | − | 0.492291i | ||||
\(372\) | −7.13820 | − | 13.2433i | −0.370098 | − | 0.686633i | ||||
\(373\) | −10.0006 | − | 3.63990i | −0.517809 | − | 0.188467i | 0.0698778 | − | 0.997556i | \(-0.477739\pi\) |
−0.587687 | + | 0.809088i | \(0.699961\pi\) | |||||||
\(374\) | 0.207675 | − | 0.174260i | 0.0107386 | − | 0.00901076i | ||||
\(375\) | 10.9286 | + | 4.34353i | 0.564351 | + | 0.224299i | ||||
\(376\) | −1.45828 | + | 0.530769i | −0.0752048 | + | 0.0273723i | ||||
\(377\) | 10.8109 | 0.556792 | ||||||||
\(378\) | 1.02004 | + | 4.76302i | 0.0524654 | + | 0.244983i | ||||
\(379\) | 9.30276 | 0.477851 | 0.238925 | − | 0.971038i | \(-0.423205\pi\) | ||||
0.238925 | + | 0.971038i | \(0.423205\pi\) | |||||||
\(380\) | 7.20637 | − | 2.62290i | 0.369679 | − | 0.134552i | ||||
\(381\) | 3.37316 | + | 23.0521i | 0.172812 | + | 1.18099i | ||||
\(382\) | 5.25155 | − | 4.40657i | 0.268693 | − | 0.225460i | ||||
\(383\) | −11.0428 | − | 4.01926i | −0.564263 | − | 0.205375i | 0.0441096 | − | 0.999027i | \(-0.485955\pi\) |
−0.608372 | + | 0.793652i | \(0.708177\pi\) | |||||||
\(384\) | 16.6641 | + | 0.487335i | 0.850389 | + | 0.0248692i | ||||
\(385\) | 8.08977 | + | 5.23088i | 0.412293 | + | 0.266590i | ||||
\(386\) | 0.498745 | − | 0.863851i | 0.0253854 | − | 0.0439689i | ||||
\(387\) | 2.63102 | − | 1.95751i | 0.133742 | − | 0.0995061i | ||||
\(388\) | 31.1528 | 1.58154 | ||||||||
\(389\) | 13.3171 | − | 4.84704i | 0.675206 | − | 0.245755i | 0.0184180 | − | 0.999830i | \(-0.494137\pi\) |
0.656788 | + | 0.754076i | \(0.271915\pi\) | |||||||
\(390\) | −0.661957 | − | 0.589266i | −0.0335195 | − | 0.0298387i | ||||
\(391\) | 0.223488 | + | 1.26746i | 0.0113023 | + | 0.0640983i | ||||
\(392\) | 9.56070 | + | 0.966706i | 0.482888 | + | 0.0488260i | ||||
\(393\) | −3.48239 | − | 3.09998i | −0.175663 | − | 0.156373i | ||||
\(394\) | 0.101717 | − | 0.576868i | 0.00512445 | − | 0.0290622i | ||||
\(395\) | −4.42831 | −0.222812 | ||||||||
\(396\) | −20.8062 | − | 19.6412i | −1.04555 | − | 0.987008i | ||||
\(397\) | 30.5582 | 1.53367 | 0.766837 | − | 0.641842i | \(-0.221829\pi\) | ||||
0.766837 | + | 0.641842i | \(0.221829\pi\) | |||||||
\(398\) | −1.98274 | + | 0.721659i | −0.0993859 | + | 0.0361735i | ||||
\(399\) | −26.0809 | + | 2.48284i | −1.30568 | + | 0.124298i | ||||
\(400\) | −11.2163 | + | 9.41161i | −0.560816 | + | 0.470580i | ||||
\(401\) | −6.52419 | − | 37.0005i | −0.325803 | − | 1.84772i | −0.503974 | − | 0.863719i | \(-0.668129\pi\) |
0.178171 | − | 0.983999i | \(-0.442982\pi\) | |||||||
\(402\) | −1.25743 | + | 0.993945i | −0.0627149 | + | 0.0495735i | ||||
\(403\) | −7.16334 | − | 6.01076i | −0.356831 | − | 0.299417i | ||||
\(404\) | 15.1168 | + | 26.1830i | 0.752088 | + | 1.30265i | ||||
\(405\) | −4.41703 | − | 4.68731i | −0.219484 | − | 0.232914i | ||||
\(406\) | −1.95314 | + | 4.62670i | −0.0969328 | + | 0.229619i | ||||
\(407\) | 4.75240 | − | 26.9522i | 0.235568 | − | 1.33597i | ||||
\(408\) | 0.0517691 | + | 0.353788i | 0.00256295 | + | 0.0175151i | ||||
\(409\) | 9.32825 | − | 7.82733i | 0.461252 | − | 0.387037i | −0.382339 | − | 0.924022i | \(-0.624881\pi\) |
0.843592 | + | 0.536985i | \(0.180437\pi\) | |||||||
\(410\) | 0.145300 | + | 0.824037i | 0.00717585 | + | 0.0406963i | ||||
\(411\) | −35.1486 | − | 1.02790i | −1.73375 | − | 0.0507027i | ||||
\(412\) | 3.55549 | − | 1.29409i | 0.175166 | − | 0.0637553i | ||||
\(413\) | −9.05281 | + | 21.4447i | −0.445460 | + | 1.05523i | ||||
\(414\) | −8.71585 | + | 2.60656i | −0.428361 | + | 0.128105i | ||||
\(415\) | −3.51482 | + | 6.08785i | −0.172536 | + | 0.298841i | ||||
\(416\) | 7.39842 | − | 2.69280i | 0.362737 | − | 0.132026i | ||||
\(417\) | −9.23914 | + | 3.06001i | −0.452443 | + | 0.149849i | ||||
\(418\) | −7.89537 | + | 6.62501i | −0.386175 | + | 0.324040i | ||||
\(419\) | −4.74992 | − | 26.9381i | −0.232049 | − | 1.31601i | −0.848741 | − | 0.528809i | \(-0.822639\pi\) |
0.616692 | − | 0.787204i | \(-0.288472\pi\) | |||||||
\(420\) | −5.55112 | + | 2.64038i | −0.270867 | + | 0.128837i | ||||
\(421\) | 16.1084 | + | 13.5166i | 0.785075 | + | 0.658757i | 0.944521 | − | 0.328450i | \(-0.106526\pi\) |
−0.159446 | + | 0.987207i | \(0.550971\pi\) | |||||||
\(422\) | 2.00838 | − | 3.47861i | 0.0977663 | − | 0.169336i | ||||
\(423\) | −2.72089 | + | 2.02438i | −0.132294 | + | 0.0984288i | ||||
\(424\) | 5.39764 | + | 9.34899i | 0.262133 | + | 0.454027i | ||||
\(425\) | −0.516986 | − | 0.433803i | −0.0250775 | − | 0.0210425i | ||||
\(426\) | −0.214381 | − | 0.00626946i | −0.0103868 | − | 0.000303757i | ||||
\(427\) | 7.26428 | + | 23.5936i | 0.351543 | + | 1.14178i | ||||
\(428\) | 13.6739 | + | 4.97691i | 0.660955 | + | 0.240568i | ||||
\(429\) | −16.5269 | − | 6.56853i | −0.797925 | − | 0.317131i | ||||
\(430\) | −0.212320 | − | 0.178158i | −0.0102390 | − | 0.00859153i | ||||
\(431\) | −2.96128 | + | 5.12909i | −0.142640 | + | 0.247060i | −0.928490 | − | 0.371358i | \(-0.878892\pi\) |
0.785850 | + | 0.618417i | \(0.212226\pi\) | |||||||
\(432\) | 16.3769 | − | 4.38041i | 0.787933 | − | 0.210753i | ||||
\(433\) | −24.0751 | −1.15698 | −0.578488 | − | 0.815691i | \(-0.696357\pi\) | ||||
−0.578488 | + | 0.815691i | \(0.696357\pi\) | |||||||
\(434\) | 3.86654 | − | 1.97973i | 0.185600 | − | 0.0950301i | ||||
\(435\) | −0.961421 | − | 6.57032i | −0.0460966 | − | 0.315023i | ||||
\(436\) | 0.260516 | + | 1.47746i | 0.0124765 | + | 0.0707575i | ||||
\(437\) | −8.49655 | − | 48.1863i | −0.406445 | − | 2.30507i | ||||
\(438\) | 8.41948 | + | 0.246224i | 0.402298 | + | 0.0117650i | ||||
\(439\) | 13.4427 | + | 11.2797i | 0.641584 | + | 0.538353i | 0.904504 | − | 0.426465i | \(-0.140241\pi\) |
−0.262920 | + | 0.964818i | \(0.584686\pi\) | |||||||
\(440\) | −2.49925 | + | 4.32884i | −0.119147 | + | 0.206369i | ||||
\(441\) | 20.6228 | − | 3.96240i | 0.982038 | − | 0.188686i | ||||
\(442\) | 0.0537603 | + | 0.0931155i | 0.00255712 | + | 0.00442905i | ||||
\(443\) | −3.52462 | + | 19.9891i | −0.167460 | + | 0.949711i | 0.779032 | + | 0.626984i | \(0.215711\pi\) |
−0.946492 | + | 0.322727i | \(0.895400\pi\) | |||||||
\(444\) | 13.0437 | + | 11.6113i | 0.619026 | + | 0.551050i | ||||
\(445\) | 9.05454 | + | 3.29558i | 0.429226 | + | 0.156226i | ||||
\(446\) | −3.78806 | + | 3.17856i | −0.179370 | + | 0.150509i | ||||
\(447\) | 0.886130 | − | 4.28834i | 0.0419125 | − | 0.202832i | ||||
\(448\) | 0.685262 | − | 13.5890i | 0.0323756 | − | 0.642021i | ||||
\(449\) | 17.5137 | + | 30.3347i | 0.826525 | + | 1.43158i | 0.900748 | + | 0.434341i | \(0.143019\pi\) |
−0.0742237 | + | 0.997242i | \(0.523648\pi\) | |||||||
\(450\) | 2.62254 | − | 3.98481i | 0.123628 | − | 0.187846i | ||||
\(451\) | 8.39560 | + | 14.5416i | 0.395333 | + | 0.684738i | ||||
\(452\) | 2.44549 | − | 13.8691i | 0.115026 | − | 0.652346i | ||||
\(453\) | −11.3585 | + | 18.4088i | −0.533668 | + | 0.864923i | ||||
\(454\) | 0.154830 | − | 0.129918i | 0.00726653 | − | 0.00609734i | ||||
\(455\) | −2.60024 | + | 2.79947i | −0.121901 | + | 0.131241i | ||||
\(456\) | −1.96816 | − | 13.4503i | −0.0921674 | − | 0.629869i | ||||
\(457\) | 18.4173 | − | 6.70333i | 0.861523 | − | 0.313569i | 0.126793 | − | 0.991929i | \(-0.459531\pi\) |
0.734729 | + | 0.678361i | \(0.237309\pi\) | |||||||
\(458\) | 2.09152 | − | 3.62262i | 0.0977305 | − | 0.169274i | ||||
\(459\) | 0.329914 | + | 0.708321i | 0.0153991 | + | 0.0330616i | ||||
\(460\) | −5.74023 | − | 9.94237i | −0.267640 | − | 0.463565i | ||||
\(461\) | −4.07687 | + | 23.1211i | −0.189879 | + | 1.07686i | 0.729647 | + | 0.683825i | \(0.239685\pi\) |
−0.919525 | + | 0.393031i | \(0.871426\pi\) | |||||||
\(462\) | 5.79690 | − | 5.88622i | 0.269696 | − | 0.273852i | ||||
\(463\) | −16.7390 | − | 6.09249i | −0.777927 | − | 0.283142i | −0.0776189 | − | 0.996983i | \(-0.524732\pi\) |
−0.700308 | + | 0.713841i | \(0.746954\pi\) | |||||||
\(464\) | 16.4242 | + | 5.97792i | 0.762474 | + | 0.277518i | ||||
\(465\) | −3.01598 | + | 4.88804i | −0.139863 | + | 0.226677i | ||||
\(466\) | 0.0373582 | − | 0.211869i | 0.00173059 | − | 0.00981464i | ||||
\(467\) | 23.0193 | 1.06520 | 0.532602 | − | 0.846366i | \(-0.321214\pi\) | ||||
0.532602 | + | 0.846366i | \(0.321214\pi\) | |||||||
\(468\) | 9.10445 | − | 6.77384i | 0.420853 | − | 0.313121i | ||||
\(469\) | 4.16951 | + | 5.51045i | 0.192530 | + | 0.254449i | ||||
\(470\) | 0.219573 | + | 0.184244i | 0.0101281 | + | 0.00849852i | ||||
\(471\) | 2.76944 | + | 2.46532i | 0.127609 | + | 0.113596i | ||||
\(472\) | −11.3493 | − | 4.13080i | −0.522393 | − | 0.190136i | ||||
\(473\) | −5.22648 | − | 1.90228i | −0.240314 | − | 0.0874672i | ||||
\(474\) | −0.768483 | + | 3.71900i | −0.0352976 | + | 0.170819i | ||||
\(475\) | 19.6548 | + | 16.4923i | 0.901823 | + | 0.756719i | ||||
\(476\) | 0.740036 | − | 0.0923489i | 0.0339195 | − | 0.00423281i | ||||
\(477\) | 17.1550 | + | 16.1945i | 0.785475 | + | 0.741495i | ||||
\(478\) | 9.98999 | 0.456931 | ||||||||
\(479\) | 2.00153 | − | 11.3513i | 0.0914524 | − | 0.518652i | −0.904324 | − | 0.426846i | \(-0.859625\pi\) |
0.995777 | − | 0.0918065i | \(-0.0292641\pi\) | |||||||
\(480\) | −2.29449 | − | 4.25690i | −0.104729 | − | 0.194300i | ||||
\(481\) | 10.1998 | + | 3.71241i | 0.465069 | + | 0.169271i | ||||
\(482\) | 6.84888 | + | 2.49279i | 0.311958 | + | 0.113543i | ||||
\(483\) | 10.4403 | + | 37.8051i | 0.475049 | + | 1.72019i | ||||
\(484\) | −4.84633 | + | 27.4849i | −0.220288 | + | 1.24931i | ||||
\(485\) | −5.94666 | − | 10.2999i | −0.270024 | − | 0.467695i | ||||
\(486\) | −4.70304 | + | 2.89609i | −0.213334 | + | 0.131370i | ||||
\(487\) | −3.30029 | + | 5.71627i | −0.149550 | + | 0.259029i | −0.931061 | − | 0.364863i | \(-0.881116\pi\) |
0.781511 | + | 0.623891i | \(0.214449\pi\) | |||||||
\(488\) | −12.0365 | + | 4.38091i | −0.544865 | + | 0.198315i | ||||
\(489\) | −4.70280 | − | 1.86910i | −0.212668 | − | 0.0845238i | ||||
\(490\) | −0.728308 | − | 1.61857i | −0.0329016 | − | 0.0731196i | ||||
\(491\) | −11.7863 | + | 9.88984i | −0.531906 | + | 0.446322i | −0.868759 | − | 0.495235i | \(-0.835082\pi\) |
0.336853 | + | 0.941557i | \(0.390638\pi\) | |||||||
\(492\) | −10.7097 | − | 0.313199i | −0.482829 | − | 0.0141201i | ||||
\(493\) | −0.139893 | + | 0.793375i | −0.00630048 | + | 0.0357318i | ||||
\(494\) | −2.04386 | − | 3.54006i | −0.0919575 | − | 0.159275i | ||||
\(495\) | −2.52226 | + | 10.6283i | −0.113367 | + | 0.477707i | ||||
\(496\) | −7.55904 | − | 13.0926i | −0.339411 | − | 0.587877i | ||||
\(497\) | −0.0465681 | + | 0.923463i | −0.00208886 | + | 0.0414230i | ||||
\(498\) | 4.50276 | + | 4.00831i | 0.201774 | + | 0.179616i | ||||
\(499\) | −21.7134 | + | 18.2197i | −0.972025 | + | 0.815626i | −0.982867 | − | 0.184316i | \(-0.940993\pi\) |
0.0108423 | + | 0.999941i | \(0.496549\pi\) | |||||||
\(500\) | 11.9595 | + | 4.35291i | 0.534847 | + | 0.194668i | ||||
\(501\) | −1.54343 | + | 7.46927i | −0.0689553 | + | 0.333702i | ||||
\(502\) | 1.43545 | − | 8.14083i | 0.0640672 | − | 0.363343i | ||||
\(503\) | −16.1381 | − | 27.9520i | −0.719563 | − | 1.24632i | −0.961173 | − | 0.275946i | \(-0.911009\pi\) |
0.241610 | − | 0.970373i | \(-0.422324\pi\) | |||||||
\(504\) | 2.59223 | + | 10.5832i | 0.115467 | + | 0.471415i | ||||
\(505\) | 5.77119 | − | 9.99599i | 0.256814 | − | 0.444816i | ||||
\(506\) | 11.8196 | + | 9.91779i | 0.525443 | + | 0.440899i | ||||
\(507\) | −8.11978 | + | 13.1598i | −0.360612 | + | 0.584448i | ||||
\(508\) | 4.37821 | + | 24.8301i | 0.194252 | + | 1.10166i | ||||
\(509\) | −5.29686 | − | 30.0400i | −0.234779 | − | 1.33150i | −0.843079 | − | 0.537790i | \(-0.819259\pi\) |
0.608300 | − | 0.793708i | \(-0.291852\pi\) | |||||||
\(510\) | 0.0518098 | − | 0.0409535i | 0.00229418 | − | 0.00181345i | ||||
\(511\) | 1.82889 | − | 36.2676i | 0.0809054 | − | 1.60438i | ||||
\(512\) | 21.6863 | 0.958406 | ||||||||
\(513\) | −12.5427 | − | 26.9289i | −0.553773 | − | 1.18894i | ||||
\(514\) | 2.27868 | − | 3.94680i | 0.100508 | − | 0.174086i | ||||
\(515\) | −1.10656 | − | 0.928510i | −0.0487607 | − | 0.0409151i | ||||
\(516\) | 2.78420 | − | 2.20079i | 0.122567 | − | 0.0968844i | ||||
\(517\) | 5.40502 | + | 1.96727i | 0.237712 | + | 0.0865203i | ||||
\(518\) | −3.43150 | + | 3.69444i | −0.150772 | + | 0.162324i | ||||
\(519\) | −7.11536 | − | 13.2009i | −0.312330 | − | 0.579456i | ||||
\(520\) | −1.51864 | − | 1.27429i | −0.0665970 | − | 0.0558815i | ||||
\(521\) | 9.39223 | + | 16.2678i | 0.411481 | + | 0.712706i | 0.995052 | − | 0.0993562i | \(-0.0316783\pi\) |
−0.583571 | + | 0.812062i | \(0.698345\pi\) | |||||||
\(522\) | −5.68475 | − | 0.332780i | −0.248815 | − | 0.0145654i | ||||
\(523\) | 14.3995 | − | 24.9407i | 0.629648 | − | 1.09058i | −0.357974 | − | 0.933732i | \(-0.616532\pi\) |
0.987622 | − | 0.156851i | \(-0.0501343\pi\) | |||||||
\(524\) | −3.86517 | − | 3.24326i | −0.168851 | − | 0.141683i | ||||
\(525\) | −16.9364 | − | 11.6671i | −0.739167 | − | 0.509193i | ||||
\(526\) | 0.141324 | + | 0.801490i | 0.00616204 | + | 0.0349466i | ||||
\(527\) | 0.533801 | − | 0.447912i | 0.0232527 | − | 0.0195114i | ||||
\(528\) | −21.4759 | − | 19.1176i | −0.934617 | − | 0.831986i | ||||
\(529\) | −47.2185 | + | 17.1861i | −2.05298 | + | 0.747223i | ||||
\(530\) | 0.996954 | − | 1.72677i | 0.0433049 | − | 0.0750063i | ||||
\(531\) | −26.3488 | − | 1.54244i | −1.14344 | − | 0.0669360i | ||||
\(532\) | −28.1347 | + | 3.51092i | −1.21979 | + | 0.152218i | ||||
\(533\) | −6.25791 | + | 2.27769i | −0.271060 | + | 0.0986578i | ||||
\(534\) | 4.33902 | − | 7.03230i | 0.187768 | − | 0.304317i | ||||
\(535\) | −0.964681 | − | 5.47098i | −0.0417068 | − | 0.236531i | ||||
\(536\) | −2.74657 | + | 2.30465i | −0.118634 | + | 0.0995457i | ||||
\(537\) | 2.12504 | − | 1.67975i | 0.0917020 | − | 0.0724866i | ||||
\(538\) | 1.67031 | − | 9.47282i | 0.0720123 | − | 0.408402i | ||||
\(539\) | −24.8426 | − | 25.5227i | −1.07004 | − | 1.09934i | ||||
\(540\) | −4.92645 | − | 4.93080i | −0.212000 | − | 0.212188i | ||||
\(541\) | 10.6884 | + | 18.5129i | 0.459531 | + | 0.795931i | 0.998936 | − | 0.0461153i | \(-0.0146842\pi\) |
−0.539405 | + | 0.842046i | \(0.681351\pi\) | |||||||
\(542\) | 3.32738 | + | 2.79200i | 0.142923 | + | 0.119927i | ||||
\(543\) | −3.56688 | − | 24.3760i | −0.153070 | − | 1.04607i | ||||
\(544\) | 0.101879 | + | 0.577787i | 0.00436805 | + | 0.0247724i | ||||
\(545\) | 0.438757 | − | 0.368161i | 0.0187943 | − | 0.0157703i | ||||
\(546\) | 1.89982 | + | 2.66955i | 0.0813049 | + | 0.114246i | ||||
\(547\) | 41.0437 | − | 14.9387i | 1.75490 | − | 0.638733i | 0.755047 | − | 0.655671i | \(-0.227614\pi\) |
0.999857 | + | 0.0169386i | \(0.00539198\pi\) | |||||||
\(548\) | −38.0548 | −1.62562 | ||||||||
\(549\) | −22.4580 | + | 16.7090i | −0.958482 | + | 0.713125i | ||||
\(550\) | −8.09075 | −0.344991 | ||||||||
\(551\) | 5.31846 | − | 30.1625i | 0.226574 | − | 1.28497i | ||||
\(552\) | −19.3179 | + | 6.39809i | −0.822224 | + | 0.272321i | ||||
\(553\) | 15.9597 | + | 3.65141i | 0.678677 | + | 0.155274i | ||||
\(554\) | 0.831561 | + | 4.71602i | 0.0353296 | + | 0.200364i | ||||
\(555\) | 1.34914 | − | 6.52903i | 0.0572677 | − | 0.277142i | ||||
\(556\) | −9.89771 | + | 3.60247i | −0.419757 | + | 0.152779i | ||||
\(557\) | −24.6269 | −1.04348 | −0.521738 | − | 0.853106i | \(-0.674716\pi\) | ||||
−0.521738 | + | 0.853106i | \(0.674716\pi\) | |||||||
\(558\) | 3.58170 | + | 3.38116i | 0.151625 | + | 0.143136i | ||||
\(559\) | 1.10295 | − | 1.91036i | 0.0466498 | − | 0.0807998i | ||||
\(560\) | −5.49830 | + | 2.81521i | −0.232346 | + | 0.118965i | ||||
\(561\) | 0.695897 | − | 1.12785i | 0.0293808 | − | 0.0476178i | ||||
\(562\) | 9.93245 | + | 3.61512i | 0.418975 | + | 0.152494i | ||||
\(563\) | −23.1514 | + | 19.4263i | −0.975715 | + | 0.818722i | −0.983437 | − | 0.181248i | \(-0.941986\pi\) |
0.00772229 | + | 0.999970i | \(0.497542\pi\) | |||||||
\(564\) | −2.87930 | + | 2.27597i | −0.121241 | + | 0.0958356i | ||||
\(565\) | −5.05228 | + | 1.83888i | −0.212551 | + | 0.0773623i | ||||
\(566\) | 0.274075 | 0.0115202 | ||||||||
\(567\) | 12.0541 | + | 20.5353i | 0.506225 | + | 0.862401i | ||||
\(568\) | −0.479758 | −0.0201302 | ||||||||
\(569\) | 14.8959 | − | 5.42165i | 0.624467 | − | 0.227287i | −0.0103543 | − | 0.999946i | \(-0.503296\pi\) |
0.634821 | + | 0.772659i | \(0.281074\pi\) | |||||||
\(570\) | −1.96970 | + | 1.55697i | −0.0825018 | + | 0.0652142i | ||||
\(571\) | 2.54430 | − | 2.13492i | 0.106476 | − | 0.0893438i | −0.587996 | − | 0.808864i | \(-0.700083\pi\) |
0.694471 | + | 0.719520i | \(0.255638\pi\) | |||||||
\(572\) | −18.0859 | − | 6.58272i | −0.756208 | − | 0.275237i | ||||
\(573\) | 17.5974 | − | 28.5203i | 0.735143 | − | 1.19145i | ||||
\(574\) | 0.155804 | − | 3.08966i | 0.00650315 | − | 0.128960i | ||||
\(575\) | 19.2049 | − | 33.2639i | 0.800901 | − | 1.38720i | ||||
\(576\) | 14.7812 | − | 4.42046i | 0.615885 | − | 0.184186i | ||||
\(577\) | −19.9248 | −0.829482 | −0.414741 | − | 0.909939i | \(-0.636128\pi\) | ||||
−0.414741 | + | 0.909939i | \(0.636128\pi\) | |||||||
\(578\) | 5.65257 | − | 2.05737i | 0.235116 | − | 0.0855751i | ||||
\(579\) | 0.986754 | − | 4.77530i | 0.0410081 | − | 0.198455i | ||||
\(580\) | −1.24788 | − | 7.07708i | −0.0518154 | − | 0.293860i | ||||
\(581\) | 17.6873 | − | 19.0426i | 0.733793 | − | 0.790019i | ||||
\(582\) | −9.68208 | + | 3.20671i | −0.401335 | + | 0.132922i | ||||
\(583\) | 6.94803 | − | 39.4042i | 0.287758 | − | 1.63196i | ||||
\(584\) | 18.8418 | 0.779678 | ||||||||
\(585\) | −3.97752 | − | 1.71713i | −0.164450 | − | 0.0709945i | ||||
\(586\) | −1.16796 | −0.0482480 | ||||||||
\(587\) | −23.6476 | + | 8.60703i | −0.976041 | + | 0.355250i | −0.780300 | − | 0.625405i | \(-0.784934\pi\) |
−0.195742 | + | 0.980656i | \(0.562711\pi\) | |||||||
\(588\) | 22.1835 | − | 4.93877i | 0.914833 | − | 0.203671i | ||||
\(589\) | −20.2940 | + | 17.0287i | −0.836201 | + | 0.701656i | ||||
\(590\) | 0.387368 | + | 2.19688i | 0.0159477 | + | 0.0904439i | ||||
\(591\) | −0.414594 | − | 2.83332i | −0.0170541 | − | 0.116547i | ||||
\(592\) | 13.4429 | + | 11.2799i | 0.552500 | + | 0.463602i | ||||
\(593\) | −19.8891 | − | 34.4490i | −0.816749 | − | 1.41465i | −0.908066 | − | 0.418828i | \(-0.862441\pi\) |
0.0913170 | − | 0.995822i | \(-0.470892\pi\) | |||||||
\(594\) | 8.48818 | + | 3.96267i | 0.348274 | + | 0.162590i | ||||
\(595\) | −0.171796 | − | 0.227047i | −0.00704295 | − | 0.00930801i | ||||
\(596\) | 0.822914 | − | 4.66698i | 0.0337079 | − | 0.191167i | ||||
\(597\) | −8.09187 | + | 6.39628i | −0.331178 | + | 0.261783i | ||||
\(598\) | −4.68773 | + | 3.93348i | −0.191696 | + | 0.160852i | ||||
\(599\) | 1.09126 | + | 6.18886i | 0.0445878 | + | 0.252870i | 0.998952 | − | 0.0457760i | \(-0.0145761\pi\) |
−0.954364 | + | 0.298646i | \(0.903465\pi\) | |||||||
\(600\) | 5.60333 | − | 9.08139i | 0.228755 | − | 0.370746i | ||||
\(601\) | −38.8099 | + | 14.1257i | −1.58309 | + | 0.576198i | −0.975873 | − | 0.218338i | \(-0.929936\pi\) |
−0.607217 | + | 0.794536i | \(0.707714\pi\) | |||||||
\(602\) | 0.618305 | + | 0.817156i | 0.0252002 | + | 0.0333048i | ||||
\(603\) | −4.30752 | + | 6.54507i | −0.175416 | + | 0.266536i | ||||
\(604\) | −11.7048 | + | 20.2732i | −0.476260 | + | 0.824907i | ||||
\(605\) | 10.0123 | − | 3.64418i | 0.407058 | − | 0.148157i | ||||
\(606\) | −7.39334 | − | 6.58146i | −0.300334 | − | 0.267354i | ||||
\(607\) | 32.4883 | − | 27.2609i | 1.31866 | − | 1.10649i | 0.332070 | − | 0.943255i | \(-0.392253\pi\) |
0.986588 | − | 0.163231i | \(-0.0521916\pi\) | |||||||
\(608\) | −3.87325 | − | 21.9663i | −0.157081 | − | 0.890851i | ||||
\(609\) | −1.95264 | + | 24.4723i | −0.0791252 | + | 0.991669i | ||||
\(610\) | 1.81233 | + | 1.52073i | 0.0733792 | + | 0.0615725i | ||||
\(611\) | −1.14063 | + | 1.97562i | −0.0461448 | + | 0.0799251i | ||||
\(612\) | 0.379296 | + | 0.755795i | 0.0153321 | + | 0.0305512i | ||||
\(613\) | 1.38233 | + | 2.39427i | 0.0558319 | + | 0.0967037i | 0.892591 | − | 0.450868i | \(-0.148886\pi\) |
−0.836759 | + | 0.547572i | \(0.815552\pi\) | |||||||
\(614\) | −0.0881740 | − | 0.0739868i | −0.00355841 | − | 0.00298586i | ||||
\(615\) | 1.94078 | + | 3.60067i | 0.0782598 | + | 0.145193i | ||||
\(616\) | 12.5768 | − | 13.5404i | 0.506732 | − | 0.545560i | ||||
\(617\) | 0.602814 | + | 0.219406i | 0.0242684 | + | 0.00883297i | 0.354126 | − | 0.935198i | \(-0.384778\pi\) |
−0.329857 | + | 0.944031i | \(0.607001\pi\) | |||||||
\(618\) | −0.971814 | + | 0.768178i | −0.0390921 | + | 0.0309007i | ||||
\(619\) | 21.4610 | + | 18.0079i | 0.862590 | + | 0.723799i | 0.962524 | − | 0.271195i | \(-0.0874189\pi\) |
−0.0999347 | + | 0.994994i | \(0.531863\pi\) | |||||||
\(620\) | −3.10793 | + | 5.38309i | −0.124817 | + | 0.216190i | ||||
\(621\) | −36.4402 | + | 25.4917i | −1.46230 | + | 1.02295i | ||||
\(622\) | 4.30739 | 0.172710 | ||||||||
\(623\) | −29.9154 | − | 19.3434i | −1.19853 | − | 0.774976i | ||||
\(624\) | 8.94605 | − | 7.07147i | 0.358128 | − | 0.283086i | ||||
\(625\) | 3.05284 | + | 17.3135i | 0.122113 | + | 0.692540i | ||||
\(626\) | −1.63012 | − | 9.24485i | −0.0651525 | − | 0.369498i | ||||
\(627\) | −26.4566 | + | 42.8785i | −1.05657 | + | 1.71240i | ||||
\(628\) | 3.07385 | + | 2.57927i | 0.122660 | + | 0.102924i | ||||
\(629\) | −0.404425 | + | 0.700484i | −0.0161255 | + | 0.0279301i | ||||
\(630\) | 1.45346 | − | 1.39202i | 0.0579073 | − | 0.0554593i | ||||
\(631\) | 2.12621 | + | 3.68270i | 0.0846429 | + | 0.146606i | 0.905239 | − | 0.424903i | \(-0.139692\pi\) |
−0.820596 | + | 0.571509i | \(0.806358\pi\) | |||||||
\(632\) | −1.47512 | + | 8.36580i | −0.0586770 | + | 0.332774i | ||||
\(633\) | 3.97352 | − | 19.2295i | 0.157933 | − | 0.764303i | ||||
\(634\) | −3.92384 | − | 1.42816i | −0.155836 | − | 0.0567196i | ||||
\(635\) | 7.37371 | − | 6.18728i | 0.292617 | − | 0.245535i | ||||
\(636\) | 19.0699 | + | 16.9758i | 0.756172 | + | 0.673135i | ||||
\(637\) | 11.6796 | − | 7.94532i | 0.462765 | − | 0.314805i | ||||
\(638\) | 4.82904 | + | 8.36414i | 0.191183 | + | 0.331139i | ||||
\(639\) | −1.00448 | + | 0.300400i | −0.0397367 | + | 0.0118836i | ||||
\(640\) | −3.44398 | − | 5.96515i | −0.136135 | − | 0.235793i | ||||
\(641\) | −0.121849 | + | 0.691040i | −0.00481275 | + | 0.0272944i | −0.987120 | − | 0.159984i | \(-0.948856\pi\) |
0.982307 | + | 0.187279i | \(0.0599668\pi\) | |||||||
\(642\) | −4.76206 | − | 0.139264i | −0.187944 | − | 0.00549632i | ||||
\(643\) | 11.1146 | − | 9.32627i | 0.438318 | − | 0.367792i | −0.396762 | − | 0.917922i | \(-0.629866\pi\) |
0.835079 | + | 0.550129i | \(0.185422\pi\) | |||||||
\(644\) | 12.4898 | + | 40.5657i | 0.492169 | + | 1.59851i | ||||
\(645\) | −1.25910 | − | 0.500425i | −0.0495772 | − | 0.0197042i | ||||
\(646\) | 0.286240 | − | 0.104183i | 0.0112619 | − | 0.00409901i | ||||
\(647\) | 3.74943 | − | 6.49420i | 0.147405 | − | 0.255313i | −0.782862 | − | 0.622195i | \(-0.786241\pi\) |
0.930268 | + | 0.366881i | \(0.119575\pi\) | |||||||
\(648\) | −10.3265 | + | 6.78310i | −0.405661 | + | 0.266465i | ||||
\(649\) | 22.3826 | + | 38.7678i | 0.878594 | + | 1.52177i | ||||
\(650\) | 0.557212 | − | 3.16011i | 0.0218557 | − | 0.123950i | ||||
\(651\) | 14.9002 | − | 15.1298i | 0.583983 | − | 0.592982i | ||||
\(652\) | −5.14642 | − | 1.87314i | −0.201549 | − | 0.0733580i | ||||
\(653\) | 22.9164 | + | 8.34090i | 0.896790 | + | 0.326405i | 0.748966 | − | 0.662609i | \(-0.230551\pi\) |
0.147824 | + | 0.989014i | \(0.452773\pi\) | |||||||
\(654\) | −0.233049 | − | 0.432368i | −0.00911293 | − | 0.0169069i | ||||
\(655\) | −0.334496 | + | 1.89702i | −0.0130698 | + | 0.0741227i | ||||
\(656\) | −10.7666 | −0.420365 | ||||||||
\(657\) | 39.4495 | − | 11.7977i | 1.53907 | − | 0.460274i | ||||
\(658\) | −0.639426 | − | 0.845070i | −0.0249274 | − | 0.0329442i | ||||
\(659\) | 0.249541 | + | 0.209389i | 0.00972072 | + | 0.00815665i | 0.647635 | − | 0.761951i | \(-0.275758\pi\) |
−0.637914 | + | 0.770107i | \(0.720203\pi\) | |||||||
\(660\) | −2.39225 | + | 11.5770i | −0.0931181 | + | 0.450636i | ||||
\(661\) | 6.53818 | + | 2.37970i | 0.254306 | + | 0.0925597i | 0.466027 | − | 0.884770i | \(-0.345685\pi\) |
−0.211722 | + | 0.977330i | \(0.567907\pi\) | |||||||
\(662\) | −1.77912 | − | 0.647548i | −0.0691476 | − | 0.0251677i | ||||
\(663\) | 0.392592 | + | 0.349481i | 0.0152470 | + | 0.0135727i | ||||
\(664\) | 10.3301 | + | 8.66800i | 0.400886 | + | 0.336384i | ||||
\(665\) | 6.53134 | + | 8.63186i | 0.253274 | + | 0.334729i | ||||
\(666\) | −5.24910 | − | 2.26608i | −0.203398 | − | 0.0878086i | ||||
\(667\) | −45.8505 | −1.77534 | ||||||||
\(668\) | −1.43332 | + | 8.12877i | −0.0554569 | + | 0.314512i | ||||
\(669\) | −12.6934 | + | 20.5724i | −0.490755 | + | 0.795373i | ||||
\(670\) | 0.622292 | + | 0.226496i | 0.0240412 | + | 0.00875030i | ||||
\(671\) | 44.6125 | + | 16.2376i | 1.72225 | + | 0.626846i | ||||
\(672\) | 4.75932 | + | 17.2339i | 0.183595 | + | 0.664812i | ||||
\(673\) | −5.49346 | + | 31.1549i | −0.211757 | + | 1.20093i | 0.674689 | + | 0.738102i | \(0.264278\pi\) |
−0.886446 | + | 0.462832i | \(0.846833\pi\) | |||||||
\(674\) | −3.74907 | − | 6.49358i | −0.144409 | − | 0.250123i | ||||
\(675\) | 6.04555 | − | 22.5225i | 0.232693 | − | 0.866891i | ||||
\(676\) | −8.36732 | + | 14.4926i | −0.321820 | + | 0.557409i | ||||
\(677\) | −12.8853 | + | 4.68987i | −0.495223 | + | 0.180246i | −0.577544 | − | 0.816360i | \(-0.695989\pi\) |
0.0823214 | + | 0.996606i | \(0.473767\pi\) | |||||||
\(678\) | 0.667568 | + | 4.56214i | 0.0256378 | + | 0.175208i | ||||
\(679\) | 12.9390 | + | 42.0245i | 0.496553 | + | 1.61275i | ||||
\(680\) | 0.113167 | − | 0.0949584i | 0.00433975 | − | 0.00364149i | ||||
\(681\) | 0.518820 | − | 0.840858i | 0.0198812 | − | 0.0322217i | ||||
\(682\) | 1.45064 | − | 8.22698i | 0.0555478 | − | 0.315027i | ||||
\(683\) | 14.6873 | + | 25.4392i | 0.561994 | + | 0.973402i | 0.997322 | + | 0.0731304i | \(0.0232989\pi\) |
−0.435328 | + | 0.900272i | \(0.643368\pi\) | |||||||
\(684\) | −14.4201 | − | 28.7338i | −0.551364 | − | 1.09866i | ||||
\(685\) | 7.26415 | + | 12.5819i | 0.277549 | + | 0.480729i | ||||
\(686\) | 1.29023 | + | 6.43390i | 0.0492612 | + | 0.245648i | ||||
\(687\) | 4.13803 | − | 20.0256i | 0.157876 | − | 0.764023i | ||||
\(688\) | 2.73196 | − | 2.29239i | 0.104155 | − | 0.0873964i | ||||
\(689\) | 14.9121 | + | 5.42756i | 0.568106 | + | 0.206774i | ||||
\(690\) | 2.80744 | + | 2.49915i | 0.106877 | + | 0.0951411i | ||||
\(691\) | 2.65548 | − | 15.0600i | 0.101019 | − | 0.572908i | −0.891717 | − | 0.452594i | \(-0.850499\pi\) |
0.992736 | − | 0.120314i | \(-0.0383901\pi\) | |||||||
\(692\) | −8.11472 | − | 14.0551i | −0.308475 | − | 0.534295i | ||||
\(693\) | 17.8540 | − | 36.2249i | 0.678217 | − | 1.37607i | ||||
\(694\) | 0.472036 | − | 0.817590i | 0.0179182 | − | 0.0310353i | ||||
\(695\) | 3.08041 | + | 2.58477i | 0.116847 | + | 0.0980461i | ||||
\(696\) | −12.7327 | − | 0.372361i | −0.482630 | − | 0.0141143i | ||||
\(697\) | −0.0861742 | − | 0.488718i | −0.00326408 | − | 0.0185115i | ||||
\(698\) | 0.143899 | + | 0.816092i | 0.00544666 | + | 0.0308895i | ||||
\(699\) | −0.152270 | − | 1.04061i | −0.00575938 | − | 0.0393594i | ||||
\(700\) | −18.6902 | − | 12.0852i | −0.706424 | − | 0.456776i | ||||
\(701\) | 32.3125 | 1.22043 | 0.610213 | − | 0.792237i | \(-0.291084\pi\) | ||||
0.610213 | + | 0.792237i | \(0.291084\pi\) | |||||||
\(702\) | −2.13234 | + | 3.04243i | −0.0804798 | + | 0.114829i | ||||
\(703\) | 15.3754 | − | 26.6310i | 0.579895 | − | 1.00441i | ||||
\(704\) | −20.0448 | − | 16.8196i | −0.755468 | − | 0.633913i | ||||
\(705\) | 1.30211 | + | 0.517519i | 0.0490405 | + | 0.0194909i | ||||
\(706\) | −8.81546 | − | 3.20857i | −0.331774 | − | 0.120756i | ||||
\(707\) | −29.0418 | + | 31.2671i | −1.09223 | + | 1.17592i | ||||
\(708\) | −28.5518 | − | 0.834985i | −1.07304 | − | 0.0313806i | ||||
\(709\) | −25.3147 | − | 21.2416i | −0.950714 | − | 0.797744i | 0.0287034 | − | 0.999588i | \(-0.490862\pi\) |
−0.979418 | + | 0.201844i | \(0.935307\pi\) | |||||||
\(710\) | 0.0443061 | + | 0.0767404i | 0.00166278 | + | 0.00288001i | ||||
\(711\) | 2.14974 | + | 18.4393i | 0.0806216 | + | 0.691529i | ||||
\(712\) | 9.24206 | − | 16.0077i | 0.346361 | − | 0.599914i | ||||
\(713\) | 30.3806 | + | 25.4924i | 1.13776 | + | 0.954697i | ||||
\(714\) | −0.220492 | + | 0.104877i | −0.00825172 | + | 0.00392492i | ||||
\(715\) | 1.27594 | + | 7.23621i | 0.0477174 | + | 0.270619i | ||||
\(716\) | 2.24563 | − | 1.88431i | 0.0839233 | − | 0.0704200i | ||||
\(717\) | 46.3591 | − | 15.3542i | 1.73131 | − | 0.573411i | ||||
\(718\) | 4.20138 | − | 1.52918i | 0.156794 | − | 0.0570683i | ||||
\(719\) | 14.5924 | − | 25.2747i | 0.544204 | − | 0.942589i | −0.454453 | − | 0.890771i | \(-0.650165\pi\) |
0.998657 | − | 0.0518177i | \(-0.0165015\pi\) | |||||||
\(720\) | −5.09324 | − | 4.80807i | −0.189814 | − | 0.179186i | ||||
\(721\) | 3.22244 | + | 4.25880i | 0.120010 | + | 0.158606i | ||||
\(722\) | −4.55626 | + | 1.65834i | −0.169567 | + | 0.0617172i | ||||
\(723\) | 35.6139 | + | 1.04151i | 1.32450 | + | 0.0387342i | ||||
\(724\) | −4.62965 | − | 26.2560i | −0.172060 | − | 0.975798i | ||||
\(725\) | 18.4179 | − | 15.4544i | 0.684023 | − | 0.573964i | ||||
\(726\) | −1.32295 | − | 9.04097i | −0.0490991 | − | 0.335542i | ||||
\(727\) | −1.89093 | + | 10.7240i | −0.0701309 | + | 0.397732i | 0.929454 | + | 0.368937i | \(0.120278\pi\) |
−0.999585 | + | 0.0287951i | \(0.990833\pi\) | |||||||
\(728\) | 4.42250 | + | 5.84480i | 0.163909 | + | 0.216623i | ||||
\(729\) | −17.3735 | + | 20.6678i | −0.643465 | + | 0.765476i | ||||
\(730\) | −1.74005 | − | 3.01386i | −0.0644023 | − | 0.111548i | ||||
\(731\) | 0.125922 | + | 0.105661i | 0.00465741 | + | 0.00390803i | ||||
\(732\) | −23.7655 | + | 18.7856i | −0.878398 | + | 0.694336i | ||||
\(733\) | −7.44629 | − | 42.2300i | −0.275035 | − | 1.55980i | −0.738851 | − | 0.673869i | \(-0.764631\pi\) |
0.463816 | − | 0.885932i | \(-0.346480\pi\) | |||||||
\(734\) | 3.61145 | − | 3.03037i | 0.133301 | − | 0.111853i | ||||
\(735\) | −5.86742 | − | 6.39169i | −0.216423 | − | 0.235761i | ||||
\(736\) | −31.3776 | + | 11.4205i | −1.15659 | + | 0.420966i | ||||
\(737\) | 13.2891 | 0.489510 | ||||||||
\(738\) | 3.36073 | − | 1.00506i | 0.123710 | − | 0.0369966i | ||||
\(739\) | 26.7432 | 0.983763 | 0.491882 | − | 0.870662i | \(-0.336309\pi\) | ||||
0.491882 | + | 0.870662i | \(0.336309\pi\) | |||||||
\(740\) | 1.25289 | − | 7.10551i | 0.0460573 | − | 0.261204i | ||||
\(741\) | −14.9255 | − | 13.2866i | −0.548304 | − | 0.488094i | ||||
\(742\) | −5.01688 | + | 5.40129i | −0.184175 | + | 0.198287i | ||||
\(743\) | 6.35951 | + | 36.0666i | 0.233308 | + | 1.32315i | 0.846148 | + | 0.532948i | \(0.178916\pi\) |
−0.612840 | + | 0.790207i | \(0.709973\pi\) | |||||||
\(744\) | 8.22965 | + | 7.32594i | 0.301714 | + | 0.268582i | ||||
\(745\) | −1.70011 | + | 0.618788i | −0.0622871 | + | 0.0226706i | ||||
\(746\) | 3.77075 | 0.138057 | ||||||||
\(747\) | 27.0559 | + | 11.6802i | 0.989924 | + | 0.427357i | ||||
\(748\) | 0.717112 | − | 1.24208i | 0.0262202 | − | 0.0454148i | ||||
\(749\) | −1.03442 | + | 20.5130i | −0.0377970 | + | 0.749528i | ||||
\(750\) | −4.16501 | − | 0.121804i | −0.152085 | − | 0.00444764i | ||||
\(751\) | 28.8365 | + | 10.4956i | 1.05226 | + | 0.382990i | 0.809514 | − | 0.587100i | \(-0.199731\pi\) |
0.242743 | + | 0.970091i | \(0.421953\pi\) | |||||||
\(752\) | −2.82528 | + | 2.37069i | −0.103027 | + | 0.0864503i | ||||
\(753\) | −5.85081 | − | 39.9842i | −0.213215 | − | 1.45711i | ||||
\(754\) | −3.59947 | + | 1.31010i | −0.131085 | + | 0.0477110i | ||||
\(755\) | 8.93714 | 0.325256 | ||||||||
\(756\) | 13.6893 | + | 21.8329i | 0.497874 | + | 0.794054i | ||||
\(757\) | −13.3564 | −0.485447 | −0.242723 | − | 0.970096i | \(-0.578041\pi\) | ||||
−0.242723 | + | 0.970096i | \(0.578041\pi\) | |||||||
\(758\) | −3.09732 | + | 1.12733i | −0.112500 | + | 0.0409466i | ||||
\(759\) | 70.0925 | + | 27.8579i | 2.54420 | + | 1.01118i | ||||
\(760\) | −4.30238 | + | 3.61012i | −0.156064 | + | 0.130953i | ||||
\(761\) | 10.9272 | + | 3.97718i | 0.396111 | + | 0.144173i | 0.532393 | − | 0.846497i | \(-0.321293\pi\) |
−0.136282 | + | 0.990670i | \(0.543515\pi\) | |||||||
\(762\) | −3.91660 | − | 7.26635i | −0.141883 | − | 0.263232i | ||||
\(763\) | −1.88486 | + | 0.965079i | −0.0682366 | + | 0.0349382i | ||||
\(764\) | 18.1339 | − | 31.4088i | 0.656061 | − | 1.13633i | ||||
\(765\) | 0.177483 | − | 0.269676i | 0.00641690 | − | 0.00975016i | ||||
\(766\) | 4.16374 | 0.150442 | ||||||||
\(767\) | −16.6835 | + | 6.07231i | −0.602407 | + | 0.219258i | ||||
\(768\) | 11.3041 | − | 3.74391i | 0.407900 | − | 0.135097i | ||||
\(769\) | −4.77224 | − | 27.0647i | −0.172091 | − | 0.975979i | −0.941448 | − | 0.337159i | \(-0.890534\pi\) |
0.769356 | − | 0.638820i | \(-0.220577\pi\) | |||||||
\(770\) | −3.32736 | − | 0.761262i | −0.119910 | − | 0.0274340i | ||||
\(771\) | 4.50832 | − | 21.8176i | 0.162363 | − | 0.785740i | ||||
\(772\) | 0.916360 | − | 5.19693i | 0.0329805 | − | 0.187042i | ||||
\(773\) | −52.2223 | −1.87830 | −0.939152 | − | 0.343502i | \(-0.888387\pi\) | ||||
−0.939152 | + | 0.343502i | \(0.888387\pi\) | |||||||
\(774\) | −0.638772 | + | 0.970582i | −0.0229602 | + | 0.0348868i | ||||
\(775\) | −20.7962 | −0.747022 | ||||||||
\(776\) | −21.4391 | + | 7.80319i | −0.769619 | + | 0.280118i | ||||
\(777\) | −10.2459 | + | 22.4183i | −0.367570 | + | 0.804253i | ||||
\(778\) | −3.84652 | + | 3.22761i | −0.137904 | + | 0.115716i | ||||
\(779\) | 3.27617 | + | 18.5801i | 0.117381 | + | 0.665700i | ||||
\(780\) | −4.35704 | − | 1.73169i | −0.156007 | − | 0.0620043i | ||||
\(781\) | 1.36218 | + | 1.14300i | 0.0487425 | + | 0.0408999i | ||||
\(782\) | −0.228004 | − | 0.394915i | −0.00815341 | − | 0.0141221i | ||||
\(783\) | −26.8919 | + | 7.19291i | −0.961037 | + | 0.257054i | ||||
\(784\) | 22.1373 | − | 5.61242i | 0.790619 | − | 0.200444i | ||||
\(785\) | 0.266014 | − | 1.50864i | 0.00949446 | − | 0.0538457i | ||||
\(786\) | 1.53511 | + | 0.610124i | 0.0547557 | + | 0.0217624i | ||||
\(787\) | 15.9120 | − | 13.3518i | 0.567202 | − | 0.475939i | −0.313514 | − | 0.949583i | \(-0.601506\pi\) |
0.880716 | + | 0.473645i | \(0.157062\pi\) | |||||||
\(788\) | −0.538124 | − | 3.05186i | −0.0191699 | − | 0.108718i | ||||
\(789\) | 1.88768 | + | 3.50215i | 0.0672031 | + | 0.124680i | ||||
\(790\) | 1.47439 | − | 0.536635i | 0.0524565 | − | 0.0190926i | ||||
\(791\) | 19.7248 | − | 2.46145i | 0.701334 | − | 0.0875193i | ||||
\(792\) | 19.2384 | + | 8.30536i | 0.683607 | + | 0.295118i | ||||
\(793\) | −9.41461 | + | 16.3066i | −0.334323 | + | 0.579064i | ||||
\(794\) | −10.1743 | + | 3.70313i | −0.361071 | + | 0.131419i | ||||
\(795\) | 1.97245 | − | 9.54547i | 0.0699555 | − | 0.338543i | ||||
\(796\) | −8.55110 | + | 7.17522i | −0.303086 | + | 0.254319i | ||||
\(797\) | 3.46521 | + | 19.6522i | 0.122744 | + | 0.696115i | 0.982622 | + | 0.185616i | \(0.0594281\pi\) |
−0.859878 | + | 0.510499i | \(0.829461\pi\) | |||||||
\(798\) | 8.38267 | − | 3.98721i | 0.296743 | − | 0.141146i | ||||
\(799\) | −0.130224 | − | 0.109271i | −0.00460699 | − | 0.00386572i | ||||
\(800\) | 8.75478 | − | 15.1637i | 0.309528 | − | 0.536119i | ||||
\(801\) | 9.32714 | − | 39.3027i | 0.329558 | − | 1.38869i | ||||
\(802\) | 6.65603 | + | 11.5286i | 0.235033 | + | 0.407089i | ||||
\(803\) | −53.4974 | − | 44.8897i | −1.88788 | − | 1.58412i | ||||
\(804\) | −4.45264 | + | 7.21645i | −0.157033 | + | 0.254505i | ||||
\(805\) | 11.0279 | − | 11.8729i | 0.388683 | − | 0.418466i | ||||
\(806\) | 3.11341 | + | 1.13319i | 0.109665 | + | 0.0399149i | ||||
\(807\) | −6.80810 | − | 46.5263i | −0.239657 | − | 1.63780i | ||||
\(808\) | −16.9616 | − | 14.2325i | −0.596707 | − | 0.500697i | ||||
\(809\) | −5.97695 | + | 10.3524i | −0.210139 | + | 0.363971i | −0.951758 | − | 0.306851i | \(-0.900725\pi\) |
0.741619 | + | 0.670821i | \(0.234058\pi\) | |||||||
\(810\) | 2.03866 | + | 1.02536i | 0.0716311 | + | 0.0360274i | ||||
\(811\) | 21.4437 | 0.752989 | 0.376494 | − | 0.926419i | \(-0.377129\pi\) | ||||
0.376494 | + | 0.926419i | \(0.377129\pi\) | |||||||
\(812\) | −1.33809 | + | 26.5349i | −0.0469579 | + | 0.931193i | ||||
\(813\) | 19.7321 | + | 7.84242i | 0.692034 | + | 0.275046i | ||||
\(814\) | 1.68384 | + | 9.54955i | 0.0590187 | + | 0.334712i | ||||
\(815\) | 0.363074 | + | 2.05910i | 0.0127179 | + | 0.0721270i | ||||
\(816\) | 0.403188 | + | 0.748022i | 0.0141144 | + | 0.0261860i | ||||
\(817\) | −4.78732 | − | 4.01703i | −0.167487 | − | 0.140538i | ||||
\(818\) | −2.15727 | + | 3.73651i | −0.0754273 | + | 0.130644i | ||||
\(819\) | 12.9192 | + | 9.46828i | 0.451434 | + | 0.330848i | ||||
\(820\) | 2.21336 | + | 3.83366i | 0.0772940 | + | 0.133877i | ||||
\(821\) | −1.11017 | + | 6.29611i | −0.0387453 | + | 0.219736i | −0.998033 | − | 0.0626963i | \(-0.980030\pi\) |
0.959287 | + | 0.282432i | \(0.0911412\pi\) | |||||||
\(822\) | 11.8272 | − | 3.91716i | 0.412520 | − | 0.136627i | ||||
\(823\) | −31.2689 | − | 11.3809i | −1.08997 | − | 0.396715i | −0.266357 | − | 0.963874i | \(-0.585820\pi\) |
−0.823608 | + | 0.567160i | \(0.808042\pi\) | |||||||
\(824\) | −2.12271 | + | 1.78117i | −0.0739482 | + | 0.0620499i | ||||
\(825\) | −37.5456 | + | 12.4351i | −1.30717 | + | 0.432935i | ||||
\(826\) | 0.415373 | − | 8.23700i | 0.0144527 | − | 0.286602i | ||||
\(827\) | −6.75037 | − | 11.6920i | −0.234733 | − | 0.406570i | 0.724462 | − | 0.689315i | \(-0.242088\pi\) |
−0.959195 | + | 0.282745i | \(0.908755\pi\) | |||||||
\(828\) | −38.6131 | + | 28.7287i | −1.34190 | + | 0.998391i | ||||
\(829\) | −4.08010 | − | 7.06694i | −0.141708 | − | 0.245445i | 0.786432 | − | 0.617677i | \(-0.211926\pi\) |
−0.928140 | + | 0.372232i | \(0.878593\pi\) | |||||||
\(830\) | 0.432506 | − | 2.45287i | 0.0150125 | − | 0.0851402i | ||||
\(831\) | 11.1072 | + | 20.6069i | 0.385305 | + | 0.714844i | ||||
\(832\) | 7.94994 | − | 6.67079i | 0.275615 | − | 0.231268i | ||||
\(833\) | 0.431943 | + | 0.959939i | 0.0149659 | + | 0.0332599i | ||||
\(834\) | 2.70532 | − | 2.13844i | 0.0936777 | − | 0.0740483i | ||||
\(835\) | 2.96118 | − | 1.07778i | 0.102476 | − | 0.0372982i | ||||
\(836\) | −27.2632 | + | 47.2212i | −0.942916 | + | 1.63318i | ||||
\(837\) | 21.8178 | + | 10.1855i | 0.754132 | + | 0.352064i | ||||
\(838\) | 4.84590 | + | 8.39335i | 0.167399 | + | 0.289944i | ||||
\(839\) | 4.98580 | − | 28.2759i | 0.172129 | − | 0.976192i | −0.769277 | − | 0.638916i | \(-0.779383\pi\) |
0.941406 | − | 0.337276i | \(-0.109506\pi\) | |||||||
\(840\) | 3.15887 | − | 3.20754i | 0.108991 | − | 0.110671i | ||||
\(841\) | 0.281540 | + | 0.102472i | 0.00970827 | + | 0.00353352i | ||||
\(842\) | −7.00121 | − | 2.54823i | −0.241278 | − | 0.0878179i | ||||
\(843\) | 51.6484 | + | 1.51043i | 1.77886 | + | 0.0520220i | ||||
\(844\) | 3.69006 | − | 20.9273i | 0.127017 | − | 0.720349i | ||||
\(845\) | 6.38884 | 0.219783 | ||||||||
\(846\) | 0.660592 | − | 1.00374i | 0.0227116 | − | 0.0345092i | ||||
\(847\) | −39.0895 | + | 4.87796i | −1.34313 | + | 0.167609i | ||||
\(848\) | 19.6536 | + | 16.4913i | 0.674907 | + | 0.566314i | ||||
\(849\) | 1.27186 | − | 0.421241i | 0.0436502 | − | 0.0144570i | ||||
\(850\) | 0.224698 | + | 0.0817835i | 0.00770709 | + | 0.00280515i | ||||
\(851\) | −43.2585 | − | 15.7448i | −1.48288 | − | 0.539725i | ||||
\(852\) | −1.07710 | + | 0.356737i | −0.0369010 | + | 0.0122216i | ||||
\(853\) | −9.98426 | − | 8.37779i | −0.341855 | − | 0.286850i | 0.455655 | − | 0.890157i | \(-0.349405\pi\) |
−0.797509 | + | 0.603306i | \(0.793850\pi\) | |||||||
\(854\) | −5.27776 | − | 6.97512i | −0.180601 | − | 0.238684i | ||||
\(855\) | −6.74753 | + | 10.2525i | −0.230761 | + | 0.350630i | ||||
\(856\) | −10.6569 | −0.364246 | ||||||||
\(857\) | −8.39151 | + | 47.5906i | −0.286648 | + | 1.62566i | 0.412688 | + | 0.910872i | \(0.364590\pi\) |
−0.699337 | + | 0.714792i | \(0.746521\pi\) | |||||||
\(858\) | 6.29856 | + | 0.184198i | 0.215029 | + | 0.00628843i | ||||
\(859\) | 15.5345 | + | 5.65409i | 0.530030 | + | 0.192915i | 0.593152 | − | 0.805091i | \(-0.297883\pi\) |
−0.0631217 | + | 0.998006i | \(0.520106\pi\) | |||||||
\(860\) | −1.37788 | − | 0.501507i | −0.0469852 | − | 0.0171012i | ||||
\(861\) | −4.02565 | − | 14.5772i | −0.137194 | − | 0.496790i | ||||
\(862\) | 0.364392 | − | 2.06657i | 0.0124112 | − | 0.0703876i | ||||
\(863\) | 1.27036 | + | 2.20033i | 0.0432436 | + | 0.0749001i | 0.886837 | − | 0.462082i | \(-0.152898\pi\) |
−0.843593 | + | 0.536982i | \(0.819564\pi\) | |||||||
\(864\) | −16.6117 | + | 11.6207i | −0.565142 | + | 0.395344i | ||||
\(865\) | −3.09799 | + | 5.36587i | −0.105335 | + | 0.182445i | ||||
\(866\) | 8.01573 | − | 2.91749i | 0.272385 | − | 0.0991402i | ||||
\(867\) | 23.0690 | − | 18.2351i | 0.783464 | − | 0.619295i | ||||
\(868\) | 15.6397 | − | 16.8381i | 0.530847 | − | 0.571523i | ||||
\(869\) | 24.1195 | − | 20.2386i | 0.818196 | − | 0.686548i | ||||
\(870\) | 1.11631 | + | 2.07106i | 0.0378465 | + | 0.0702155i | ||||
\(871\) | −0.915223 | + | 5.19049i | −0.0310111 | + | 0.175873i | ||||
\(872\) | −0.549361 | − | 0.951522i | −0.0186037 | − | 0.0322226i | ||||
\(873\) | −40.0017 | + | 29.7618i | −1.35385 | + | 1.00728i | ||||
\(874\) | 8.66825 | + | 15.0139i | 0.293208 | + | 0.507851i | ||||
\(875\) | −0.904729 | + | 17.9411i | −0.0305854 | + | 0.606520i | ||||
\(876\) | 42.3016 | − | 14.0103i | 1.42924 | − | 0.473364i | ||||
\(877\) | 21.5212 | − | 18.0584i | 0.726719 | − | 0.609789i | −0.202516 | − | 0.979279i | \(-0.564912\pi\) |
0.929235 | + | 0.369490i | \(0.120467\pi\) | |||||||
\(878\) | −5.84261 | − | 2.12654i | −0.197178 | − | 0.0717671i | ||||
\(879\) | −5.41999 | + | 1.79510i | −0.182812 | + | 0.0605473i | ||||
\(880\) | −2.06284 | + | 11.6989i | −0.0695382 | + | 0.394371i | ||||
\(881\) | 0.380064 | + | 0.658290i | 0.0128047 | + | 0.0221784i | 0.872357 | − | 0.488870i | \(-0.162591\pi\) |
−0.859552 | + | 0.511048i | \(0.829257\pi\) | |||||||
\(882\) | −6.38612 | + | 3.81839i | −0.215032 | + | 0.128572i | ||||
\(883\) | 5.35116 | − | 9.26848i | 0.180081 | − | 0.311909i | −0.761827 | − | 0.647780i | \(-0.775697\pi\) |
0.941908 | + | 0.335871i | \(0.109031\pi\) | |||||||
\(884\) | 0.435746 | + | 0.365634i | 0.0146557 | + | 0.0122976i | ||||
\(885\) | 5.17410 | + | 9.59936i | 0.173926 | + | 0.322679i | ||||
\(886\) | −1.24882 | − | 7.08243i | −0.0419550 | − | 0.237939i | ||||
\(887\) | 7.32459 | + | 41.5398i | 0.245936 | + | 1.39477i | 0.818310 | + | 0.574777i | \(0.194911\pi\) |
−0.572374 | + | 0.819992i | \(0.693978\pi\) | |||||||
\(888\) | −11.8850 | − | 4.72363i | −0.398834 | − | 0.158515i | ||||
\(889\) | −31.6768 | + | 16.2190i | −1.06241 | + | 0.543969i | ||||
\(890\) | −3.41405 | −0.114439 | ||||||||
\(891\) | 45.4803 | + | 5.34307i | 1.52365 | + | 0.178999i | ||||
\(892\) | −13.0804 | + | 22.6559i | −0.437964 | + | 0.758575i | ||||
\(893\) | 4.95085 | + | 4.15425i | 0.165674 | + | 0.139017i | ||||
\(894\) | 0.224639 | + | 1.53517i | 0.00751304 | + | 0.0513438i | ||||
\(895\) | −1.05166 | − | 0.382774i | −0.0351532 | − | 0.0127947i | ||||
\(896\) | 7.49356 | + | 24.3383i | 0.250342 | + | 0.813086i | ||||
\(897\) | −15.7081 | + | 25.4584i | −0.524479 | + | 0.850030i | ||||
\(898\) | −9.50718 | − | 7.97747i | −0.317259 | − | 0.266212i | ||||
\(899\) | 12.4124 | + | 21.4989i | 0.413977 | + | 0.717029i | ||||
\(900\) | 5.82732 | − | 24.5551i | 0.194244 | − | 0.818504i | ||||
\(901\) | −0.591271 | + | 1.02411i | −0.0196981 | + | 0.0341181i | ||||
\(902\) | −4.55748 | − | 3.82418i | −0.151747 | − | 0.127331i | ||||
\(903\) | 4.12521 | + | 2.84175i | 0.137278 | + | 0.0945676i | ||||
\(904\) | 1.79098 | + | 10.1571i | 0.0595670 | + | 0.337821i | ||||
\(905\) | −7.79718 | + | 6.54261i | −0.259187 | + | 0.217484i | ||||
\(906\) | 1.55094 | − | 7.50562i | 0.0515265 | − | 0.249357i | ||||
\(907\) | −6.01269 | + | 2.18844i | −0.199648 | + | 0.0726660i | −0.439909 | − | 0.898042i | \(-0.644989\pi\) |
0.240261 | + | 0.970708i | \(0.422767\pi\) | |||||||
\(908\) | 0.534637 | − | 0.926018i | 0.0177425 | − | 0.0307310i | ||||
\(909\) | −44.4246 | − | 19.1784i | −1.47347 | − | 0.636109i | ||||
\(910\) | 0.526492 | − | 1.24718i | 0.0174530 | − | 0.0413436i | ||||
\(911\) | −6.52231 | + | 2.37393i | −0.216094 | + | 0.0786517i | −0.447799 | − | 0.894134i | \(-0.647792\pi\) |
0.231705 | + | 0.972786i | \(0.425570\pi\) | |||||||
\(912\) | −15.3284 | − | 28.4383i | −0.507573 | − | 0.941686i | ||||
\(913\) | −8.67919 | − | 49.2221i | −0.287239 | − | 1.62901i | ||||
\(914\) | −5.31964 | + | 4.46370i | −0.175958 | + | 0.147646i | ||||
\(915\) | 10.7475 | + | 4.27155i | 0.355302 | + | 0.141213i | ||||
\(916\) | 3.84282 | − | 21.7937i | 0.126970 | − | 0.720085i | ||||
\(917\) | 2.76974 | − | 6.56110i | 0.0914649 | − | 0.216667i | ||||
\(918\) | −0.195680 | − | 0.195853i | −0.00645841 | − | 0.00646412i | ||||
\(919\) | −26.6246 | − | 46.1152i | −0.878265 | − | 1.52120i | −0.853243 | − | 0.521513i | \(-0.825368\pi\) |
−0.0250224 | − | 0.999687i | \(-0.507966\pi\) | |||||||
\(920\) | 6.44076 | + | 5.40444i | 0.212346 | + | 0.178179i | ||||
\(921\) | −0.522891 | − | 0.207821i | −0.0172298 | − | 0.00684792i | ||||
\(922\) | −1.44449 | − | 8.19213i | −0.0475719 | − | 0.269793i | ||||
\(923\) | −0.540251 | + | 0.453324i | −0.0177826 | + | 0.0149213i | ||||
\(924\) | 18.1677 | − | 39.7514i | 0.597673 | − | 1.30773i | ||||
\(925\) | 22.6836 | − | 8.25617i | 0.745833 | − | 0.271461i | ||||
\(926\) | 6.31150 | 0.207409 | ||||||||
\(927\) | −3.32910 | + | 5.05841i | −0.109342 | + | 0.166140i | ||||
\(928\) | −20.9015 | −0.686125 | ||||||||
\(929\) | 2.41534 | − | 13.6981i | 0.0792448 | − | 0.449420i | −0.919206 | − | 0.393777i | \(-0.871168\pi\) |
0.998451 | − | 0.0556425i | \(-0.0177207\pi\) | |||||||
\(930\) | 0.411816 | − | 1.99294i | 0.0135040 | − | 0.0653512i | ||||
\(931\) | −16.4216 | − | 36.4949i | −0.538197 | − | 1.19607i | ||||
\(932\) | −0.197639 | − | 1.12087i | −0.00647389 | − | 0.0367153i | ||||
\(933\) | 19.9887 | − | 6.62026i | 0.654400 | − | 0.216737i | ||||
\(934\) | −7.66419 | + | 2.78954i | −0.250780 | + | 0.0912765i | ||||
\(935\) | −0.547549 | −0.0179068 | ||||||||
\(936\) | −4.56889 | + | 6.94220i | −0.149339 | + | 0.226913i | ||||
\(937\) | −8.38816 | + | 14.5287i | −0.274029 | + | 0.474633i | −0.969890 | − | 0.243544i | \(-0.921690\pi\) |
0.695860 | + | 0.718177i | \(0.255023\pi\) | |||||||
\(938\) | −2.05600 | − | 1.32941i | −0.0671306 | − | 0.0434069i | ||||
\(939\) | −21.7736 | − | 40.3958i | −0.710553 | − | 1.31827i | ||||
\(940\) | 1.42495 | + | 0.518638i | 0.0464766 | + | 0.0169161i | ||||
\(941\) | −40.7461 | + | 34.1900i | −1.32828 | + | 1.11456i | −0.343810 | + | 0.939039i | \(0.611718\pi\) |
−0.984475 | + | 0.175524i | \(0.943838\pi\) | |||||||
\(942\) | −1.22083 | − | 0.485212i | −0.0397767 | − | 0.0158091i | ||||
\(943\) | 26.5406 | − | 9.65998i | 0.864280 | − | 0.314572i | ||||
\(944\) | −28.7036 | −0.934223 | ||||||||
\(945\) | 4.60541 | − | 8.69364i | 0.149814 | − | 0.282804i | ||||
\(946\) | 1.97066 | 0.0640718 | ||||||||
\(947\) | −43.3686 | + | 15.7849i | −1.40929 | + | 0.512940i | −0.930922 | − | 0.365219i | \(-0.880994\pi\) |
−0.478369 | + | 0.878159i | \(0.658772\pi\) | |||||||
\(948\) | 2.90884 | + | 19.8789i | 0.0944747 | + | 0.645637i | ||||
\(949\) | 21.2175 | − | 17.8036i | 0.688750 | − | 0.577930i | ||||
\(950\) | −8.54257 | − | 3.10924i | −0.277158 | − | 0.100877i | ||||
\(951\) | −20.4038 | − | 0.596701i | −0.661640 | − | 0.0193493i | ||||
\(952\) | −0.486155 | + | 0.248919i | −0.0157564 | + | 0.00806752i | ||||
\(953\) | −12.2632 | + | 21.2404i | −0.397243 | + | 0.688045i | −0.993385 | − | 0.114834i | \(-0.963366\pi\) |
0.596142 | + | 0.802879i | \(0.296700\pi\) | |||||||
\(954\) | −7.67421 | − | 3.31301i | −0.248462 | − | 0.107263i | ||||
\(955\) | −13.8461 | −0.448049 | ||||||||
\(956\) | 49.6636 | − | 18.0761i | 1.60624 | − | 0.584622i | ||||
\(957\) | 35.2647 | + | 31.3923i | 1.13995 | + | 1.01477i | ||||
\(958\) | 0.709172 | + | 4.02192i | 0.0229123 | + | 0.129942i | ||||
\(959\) | −15.8057 | − | 51.3352i | −0.510391 | − | 1.65770i | ||||
\(960\) | −4.76115 | − | 4.23832i | −0.153665 | − | 0.136791i | ||||
\(961\) | −1.65442 | + | 9.38267i | −0.0533683 | + | 0.302667i | ||||
\(962\) | −3.84586 | −0.123995 | ||||||||
\(963\) | −22.3127 | + | 6.67281i | −0.719016 | + | 0.215028i | ||||
\(964\) | 38.5586 | 1.24189 | ||||||||
\(965\) | −1.89316 | + | 0.689054i | −0.0609430 | + | 0.0221814i | ||||
\(966\) | −8.05738 | − | 11.3219i | −0.259242 | − | 0.364277i | ||||
\(967\) | −7.51127 | + | 6.30270i | −0.241546 | + | 0.202681i | −0.755522 | − | 0.655123i | \(-0.772617\pi\) |
0.513976 | + | 0.857805i | \(0.328172\pi\) | |||||||
\(968\) | −3.54925 | − | 20.1288i | −0.114077 | − | 0.646964i | ||||
\(969\) | 1.16819 | − | 0.923403i | 0.0375276 | − | 0.0296640i | ||||
\(970\) | 3.22809 | + | 2.70869i | 0.103648 | + | 0.0869708i | ||||
\(971\) | −3.71712 | − | 6.43824i | −0.119288 | − | 0.206613i | 0.800198 | − | 0.599736i | \(-0.204728\pi\) |
−0.919486 | + | 0.393123i | \(0.871395\pi\) | |||||||
\(972\) | −18.1401 | + | 22.9072i | −0.581845 | + | 0.734750i | ||||
\(973\) | −8.97058 | − | 11.8556i | −0.287584 | − | 0.380072i | ||||
\(974\) | 0.406108 | − | 2.30315i | 0.0130125 | − | 0.0737977i | ||||
\(975\) | −2.27117 | − | 15.5211i | −0.0727355 | − | 0.497072i | ||||
\(976\) | −23.3196 | + | 19.5675i | −0.746442 | + | 0.626339i | ||||
\(977\) | 1.23326 | + | 6.99419i | 0.0394556 | + | 0.223764i | 0.998160 | − | 0.0606420i | \(-0.0193148\pi\) |
−0.958704 | + | 0.284406i | \(0.908204\pi\) | |||||||
\(978\) | 1.79228 | + | 0.0524145i | 0.0573109 | + | 0.00167603i | ||||
\(979\) | −64.3787 | + | 23.4319i | −2.05755 | + | 0.748887i | ||||
\(980\) | −6.54934 | − | 6.72865i | −0.209211 | − | 0.214939i | ||||
\(981\) | −1.74601 | − | 1.64825i | −0.0557457 | − | 0.0526244i | ||||
\(982\) | 2.72572 | − | 4.72108i | 0.0869811 | − | 0.150656i | ||||
\(983\) | 52.0919 | − | 18.9599i | 1.66148 | − | 0.604727i | 0.670881 | − | 0.741565i | \(-0.265916\pi\) |
0.990594 | + | 0.136837i | \(0.0436937\pi\) | |||||||
\(984\) | 7.44875 | − | 2.46703i | 0.237457 | − | 0.0786460i | ||||
\(985\) | −0.906301 | + | 0.760477i | −0.0288771 | + | 0.0242308i | ||||
\(986\) | −0.0495663 | − | 0.281104i | −0.00157851 | − | 0.00895218i | ||||
\(987\) | −4.26613 | − | 2.93883i | −0.135792 | − | 0.0935438i | ||||
\(988\) | −16.5662 | − | 13.9007i | −0.527040 | − | 0.442239i | ||||
\(989\) | −4.67775 | + | 8.10209i | −0.148744 | + | 0.257632i | ||||
\(990\) | −0.448187 | − | 3.84431i | −0.0142443 | − | 0.122180i | ||||
\(991\) | −8.56188 | − | 14.8296i | −0.271977 | − | 0.471078i | 0.697391 | − | 0.716691i | \(-0.254344\pi\) |
−0.969368 | + | 0.245613i | \(0.921011\pi\) | |||||||
\(992\) | 13.8494 | + | 11.6210i | 0.439718 | + | 0.368967i | ||||
\(993\) | −9.25138 | − | 0.270552i | −0.293584 | − | 0.00858571i | ||||
\(994\) | −0.0964030 | − | 0.313107i | −0.00305772 | − | 0.00993116i | ||||
\(995\) | 4.00461 | + | 1.45756i | 0.126955 | + | 0.0462077i | ||||
\(996\) | 29.6375 | + | 11.7793i | 0.939099 | + | 0.373240i | ||||
\(997\) | −46.2166 | − | 38.7804i | −1.46370 | − | 1.22819i | −0.921757 | − | 0.387769i | \(-0.873246\pi\) |
−0.541939 | − | 0.840418i | \(-0.682310\pi\) | |||||||
\(998\) | 5.02149 | − | 8.69748i | 0.158952 | − | 0.275314i | ||||
\(999\) | −27.8416 | − | 2.44823i | −0.880869 | − | 0.0774585i |
(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 | 189.2.w.a.25.10 | yes | 132 | |
3.2 | odd | 2 | 567.2.w.a.235.13 | 132 | |||
7.2 | even | 3 | 189.2.u.a.79.13 | yes | 132 | ||
21.2 | odd | 6 | 567.2.u.a.478.10 | 132 | |||
27.13 | even | 9 | 189.2.u.a.67.13 | ✓ | 132 | ||
27.14 | odd | 18 | 567.2.u.a.172.10 | 132 | |||
189.121 | even | 9 | inner | 189.2.w.a.121.10 | yes | 132 | |
189.149 | odd | 18 | 567.2.w.a.415.13 | 132 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
189.2.u.a.67.13 | ✓ | 132 | 27.13 | even | 9 | ||
189.2.u.a.79.13 | yes | 132 | 7.2 | even | 3 | ||
189.2.w.a.25.10 | yes | 132 | 1.1 | even | 1 | trivial | |
189.2.w.a.121.10 | yes | 132 | 189.121 | even | 9 | inner | |
567.2.u.a.172.10 | 132 | 27.14 | odd | 18 | |||
567.2.u.a.478.10 | 132 | 21.2 | odd | 6 | |||
567.2.w.a.235.13 | 132 | 3.2 | odd | 2 | |||
567.2.w.a.415.13 | 132 | 189.149 | odd | 18 |