Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [770,2,Mod(57,770)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(770, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([5, 0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("770.57");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 770 = 2 \cdot 5 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 770.bh (of order \(20\), degree \(8\), 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: | \(6.14848095564\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 57.2 | ||
Character | \(\chi\) | \(=\) | 770.57 |
Dual form | 770.2.bh.b.743.2 |
$q$-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 \(\left(\mathbb{Z}/770\mathbb{Z}\right)^\times\).
\(n\) | \(211\) | \(617\) | \(661\) |
\(\chi(n)\) | \(e\left(\frac{1}{10}\right)\) | \(e\left(\frac{1}{4}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.453990 | − | 0.891007i | −0.321020 | − | 0.630037i | ||||
\(3\) | −0.243764 | + | 1.53906i | −0.140737 | + | 0.888578i | 0.811751 | + | 0.584003i | \(0.198514\pi\) |
−0.952488 | + | 0.304575i | \(0.901486\pi\) | |||||||
\(4\) | −0.587785 | + | 0.809017i | −0.293893 | + | 0.404508i | ||||
\(5\) | −1.06097 | − | 1.96833i | −0.474482 | − | 0.880265i | ||||
\(6\) | 1.48198 | − | 0.481525i | 0.605016 | − | 0.196582i | ||||
\(7\) | 0.987688 | − | 0.156434i | 0.373311 | − | 0.0591267i | ||||
\(8\) | 0.987688 | + | 0.156434i | 0.349201 | + | 0.0553079i | ||||
\(9\) | 0.543876 | + | 0.176716i | 0.181292 | + | 0.0589054i | ||||
\(10\) | −1.27213 | + | 1.83894i | −0.402281 | + | 0.581524i | ||||
\(11\) | −2.88872 | + | 1.62950i | −0.870983 | + | 0.491314i | ||||
\(12\) | −1.10185 | − | 1.10185i | −0.318076 | − | 0.318076i | ||||
\(13\) | −2.80599 | + | 1.42973i | −0.778243 | + | 0.396535i | −0.797530 | − | 0.603279i | \(-0.793860\pi\) |
0.0192871 | + | 0.999814i | \(0.493860\pi\) | |||||||
\(14\) | −0.587785 | − | 0.809017i | −0.157092 | − | 0.216219i | ||||
\(15\) | 3.28801 | − | 1.15310i | 0.848962 | − | 0.297728i | ||||
\(16\) | −0.309017 | − | 0.951057i | −0.0772542 | − | 0.237764i | ||||
\(17\) | 5.56176 | + | 2.83386i | 1.34892 | + | 0.687311i | 0.971124 | − | 0.238576i | \(-0.0766807\pi\) |
0.377800 | + | 0.925887i | \(0.376681\pi\) | |||||||
\(18\) | −0.0894594 | − | 0.564825i | −0.0210858 | − | 0.133130i | ||||
\(19\) | 3.02745 | − | 2.19957i | 0.694546 | − | 0.504617i | −0.183606 | − | 0.983000i | \(-0.558777\pi\) |
0.878151 | + | 0.478383i | \(0.158777\pi\) | |||||||
\(20\) | 2.21604 | + | 0.298611i | 0.495522 | + | 0.0667715i | ||||
\(21\) | 1.55825i | 0.340037i | ||||||||
\(22\) | 2.76335 | + | 1.83409i | 0.589148 | + | 0.391030i | ||||
\(23\) | 3.25720 | − | 3.25720i | 0.679172 | − | 0.679172i | −0.280641 | − | 0.959813i | \(-0.590547\pi\) |
0.959813 | + | 0.280641i | \(0.0905470\pi\) | |||||||
\(24\) | −0.481525 | + | 1.48198i | −0.0982909 | + | 0.302508i | ||||
\(25\) | −2.74867 | + | 4.17670i | −0.549734 | + | 0.835340i | ||||
\(26\) | 2.54779 | + | 1.85108i | 0.499663 | + | 0.363026i | ||||
\(27\) | −2.52684 | + | 4.95921i | −0.486291 | + | 0.954400i | ||||
\(28\) | −0.453990 | + | 0.891007i | −0.0857961 | + | 0.168384i | ||||
\(29\) | −0.846832 | − | 0.615259i | −0.157253 | − | 0.114251i | 0.506376 | − | 0.862313i | \(-0.330985\pi\) |
−0.663629 | + | 0.748062i | \(0.730985\pi\) | |||||||
\(30\) | −2.52014 | − | 2.40615i | −0.460113 | − | 0.439300i | ||||
\(31\) | −1.15987 | + | 3.56971i | −0.208319 | + | 0.641139i | 0.791242 | + | 0.611503i | \(0.209435\pi\) |
−0.999561 | + | 0.0296361i | \(0.990565\pi\) | |||||||
\(32\) | −0.707107 | + | 0.707107i | −0.125000 | + | 0.125000i | ||||
\(33\) | −1.80374 | − | 4.84314i | −0.313991 | − | 0.843082i | ||||
\(34\) | − | 6.24210i | − | 1.07051i | ||||||
\(35\) | −1.35583 | − | 1.77813i | −0.229177 | − | 0.300558i | ||||
\(36\) | −0.462649 | + | 0.336134i | −0.0771081 | + | 0.0560223i | ||||
\(37\) | −0.0602580 | − | 0.380454i | −0.00990636 | − | 0.0625463i | 0.982240 | − | 0.187629i | \(-0.0600803\pi\) |
−0.992146 | + | 0.125083i | \(0.960080\pi\) | |||||||
\(38\) | −3.33427 | − | 1.69890i | −0.540890 | − | 0.275597i | ||||
\(39\) | −1.51644 | − | 4.66712i | −0.242824 | − | 0.747337i | ||||
\(40\) | −0.739996 | − | 2.11007i | −0.117004 | − | 0.333632i | ||||
\(41\) | 7.07874 | + | 9.74306i | 1.10551 | + | 1.52161i | 0.827865 | + | 0.560927i | \(0.189555\pi\) |
0.277649 | + | 0.960683i | \(0.410445\pi\) | |||||||
\(42\) | 1.38841 | − | 0.707429i | 0.214236 | − | 0.109159i | ||||
\(43\) | 4.13501 | + | 4.13501i | 0.630583 | + | 0.630583i | 0.948214 | − | 0.317632i | \(-0.102888\pi\) |
−0.317632 | + | 0.948214i | \(0.602888\pi\) | |||||||
\(44\) | 0.379653 | − | 3.29482i | 0.0572348 | − | 0.496713i | ||||
\(45\) | −0.229202 | − | 1.25802i | −0.0341675 | − | 0.187535i | ||||
\(46\) | −4.38092 | − | 1.42345i | −0.645931 | − | 0.209876i | ||||
\(47\) | 10.8286 | + | 1.71509i | 1.57952 | + | 0.250171i | 0.883703 | − | 0.468048i | \(-0.155043\pi\) |
0.695817 | + | 0.718219i | \(0.255043\pi\) | |||||||
\(48\) | 1.53906 | − | 0.243764i | 0.222145 | − | 0.0351842i | ||||
\(49\) | 0.951057 | − | 0.309017i | 0.135865 | − | 0.0441453i | ||||
\(50\) | 4.96934 | + | 0.552900i | 0.702770 | + | 0.0781919i | ||||
\(51\) | −5.71724 | + | 7.86910i | −0.800573 | + | 1.10189i | ||||
\(52\) | 0.492650 | − | 3.11047i | 0.0683182 | − | 0.431344i | ||||
\(53\) | 4.93916 | + | 9.69364i | 0.678445 | + | 1.33152i | 0.931383 | + | 0.364041i | \(0.118603\pi\) |
−0.252937 | + | 0.967483i | \(0.581397\pi\) | |||||||
\(54\) | 5.56585 | 0.757416 | ||||||||
\(55\) | 6.27226 | + | 3.95711i | 0.845752 | + | 0.533576i | ||||
\(56\) | 1.00000 | 0.133631 | ||||||||
\(57\) | 2.64730 | + | 5.19562i | 0.350643 | + | 0.688176i | ||||
\(58\) | −0.163746 | + | 1.03385i | −0.0215010 | + | 0.135752i | ||||
\(59\) | 2.40386 | − | 3.30863i | 0.312956 | − | 0.430747i | −0.623344 | − | 0.781947i | \(-0.714227\pi\) |
0.936300 | + | 0.351201i | \(0.114227\pi\) | |||||||
\(60\) | −0.999771 | + | 3.33783i | −0.129070 | + | 0.430912i | ||||
\(61\) | −14.7084 | + | 4.77904i | −1.88321 | + | 0.611893i | −0.898153 | + | 0.439682i | \(0.855091\pi\) |
−0.985060 | + | 0.172211i | \(0.944909\pi\) | |||||||
\(62\) | 3.70721 | − | 0.587164i | 0.470816 | − | 0.0745699i | ||||
\(63\) | 0.564825 | + | 0.0894594i | 0.0711612 | + | 0.0112708i | ||||
\(64\) | 0.951057 | + | 0.309017i | 0.118882 | + | 0.0386271i | ||||
\(65\) | 5.79126 | + | 4.00623i | 0.718318 | + | 0.496912i | ||||
\(66\) | −3.49639 | + | 3.80589i | −0.430375 | + | 0.468472i | ||||
\(67\) | 3.69352 | + | 3.69352i | 0.451235 | + | 0.451235i | 0.895764 | − | 0.444529i | \(-0.146629\pi\) |
−0.444529 | + | 0.895764i | \(0.646629\pi\) | |||||||
\(68\) | −5.56176 | + | 2.83386i | −0.674462 | + | 0.343656i | ||||
\(69\) | 4.21904 | + | 5.80701i | 0.507913 | + | 0.699082i | ||||
\(70\) | −0.968790 | + | 2.01530i | −0.115793 | + | 0.240875i | ||||
\(71\) | −1.40041 | − | 4.31003i | −0.166198 | − | 0.511506i | 0.832924 | − | 0.553387i | \(-0.186665\pi\) |
−0.999123 | + | 0.0418811i | \(0.986665\pi\) | |||||||
\(72\) | 0.509536 | + | 0.259621i | 0.0600494 | + | 0.0305967i | ||||
\(73\) | 2.06364 | + | 13.0293i | 0.241531 | + | 1.52497i | 0.748578 | + | 0.663047i | \(0.230737\pi\) |
−0.507047 | + | 0.861918i | \(0.669263\pi\) | |||||||
\(74\) | −0.311631 | + | 0.226413i | −0.0362263 | + | 0.0263200i | ||||
\(75\) | −5.75818 | − | 5.24850i | −0.664897 | − | 0.606045i | ||||
\(76\) | 3.74214i | 0.429253i | ||||||||
\(77\) | −2.59825 | + | 2.06134i | −0.296098 | + | 0.234911i | ||||
\(78\) | −3.46998 | + | 3.46998i | −0.392898 | + | 0.392898i | ||||
\(79\) | 3.07332 | − | 9.45871i | 0.345775 | − | 1.06419i | −0.615392 | − | 0.788221i | \(-0.711002\pi\) |
0.961167 | − | 0.275966i | \(-0.0889978\pi\) | |||||||
\(80\) | −1.54414 | + | 1.61729i | −0.172640 | + | 0.180819i | ||||
\(81\) | −5.62863 | − | 4.08944i | −0.625404 | − | 0.454382i | ||||
\(82\) | 5.46744 | − | 10.7305i | 0.603778 | − | 1.18498i | ||||
\(83\) | 7.34272 | − | 14.4109i | 0.805968 | − | 1.58180i | −0.00734401 | − | 0.999973i | \(-0.502338\pi\) |
0.813312 | − | 0.581828i | \(-0.197662\pi\) | |||||||
\(84\) | −1.26065 | − | 0.915915i | −0.137548 | − | 0.0999345i | ||||
\(85\) | −0.322905 | − | 13.9540i | −0.0350240 | − | 1.51353i | ||||
\(86\) | 1.80706 | − | 5.56157i | 0.194861 | − | 0.599720i | ||||
\(87\) | 1.15335 | − | 1.15335i | 0.123652 | − | 0.123652i | ||||
\(88\) | −3.10807 | + | 1.15755i | −0.331321 | + | 0.123395i | ||||
\(89\) | 8.22572i | 0.871924i | 0.899965 | + | 0.435962i | \(0.143592\pi\) | ||||
−0.899965 | + | 0.435962i | \(0.856408\pi\) | |||||||
\(90\) | −1.01685 | + | 0.775350i | −0.107185 | + | 0.0817291i | ||||
\(91\) | −2.54779 | + | 1.85108i | −0.267081 | + | 0.194046i | ||||
\(92\) | 0.720595 | + | 4.54966i | 0.0751272 | + | 0.474335i | ||||
\(93\) | −5.21128 | − | 2.65528i | −0.540384 | − | 0.275340i | ||||
\(94\) | −3.38795 | − | 10.4270i | −0.349440 | − | 1.07547i | ||||
\(95\) | −7.54154 | − | 3.62535i | −0.773746 | − | 0.371953i | ||||
\(96\) | −0.915915 | − | 1.26065i | −0.0934802 | − | 0.128664i | ||||
\(97\) | −10.6378 | + | 5.42023i | −1.08011 | + | 0.550341i | −0.901146 | − | 0.433515i | \(-0.857273\pi\) |
−0.178959 | + | 0.983857i | \(0.557273\pi\) | |||||||
\(98\) | −0.707107 | − | 0.707107i | −0.0714286 | − | 0.0714286i | ||||
\(99\) | −1.85907 | + | 0.375764i | −0.186843 | + | 0.0377657i | ||||
\(100\) | −1.76339 | − | 4.67872i | −0.176339 | − | 0.467872i | ||||
\(101\) | 0.442394 | + | 0.143743i | 0.0440199 | + | 0.0143029i | 0.330944 | − | 0.943650i | \(-0.392633\pi\) |
−0.286924 | + | 0.957953i | \(0.592633\pi\) | |||||||
\(102\) | 9.60699 | + | 1.52160i | 0.951234 | + | 0.150661i | ||||
\(103\) | 1.61276 | − | 0.255437i | 0.158910 | − | 0.0251689i | −0.0764723 | − | 0.997072i | \(-0.524366\pi\) |
0.235383 | + | 0.971903i | \(0.424366\pi\) | |||||||
\(104\) | −2.99511 | + | 0.973169i | −0.293694 | + | 0.0954271i | ||||
\(105\) | 3.06715 | − | 1.65326i | 0.299323 | − | 0.161342i | ||||
\(106\) | 6.39477 | − | 8.80164i | 0.621115 | − | 0.854891i | ||||
\(107\) | 1.23315 | − | 7.78580i | 0.119213 | − | 0.752681i | −0.853573 | − | 0.520974i | \(-0.825569\pi\) |
0.972786 | − | 0.231707i | \(-0.0744312\pi\) | |||||||
\(108\) | −2.52684 | − | 4.95921i | −0.243146 | − | 0.477200i | ||||
\(109\) | −9.67504 | −0.926701 | −0.463351 | − | 0.886175i | \(-0.653353\pi\) | ||||
−0.463351 | + | 0.886175i | \(0.653353\pi\) | |||||||
\(110\) | 0.678261 | − | 7.38512i | 0.0646696 | − | 0.704143i | ||||
\(111\) | 0.600231 | 0.0569714 | ||||||||
\(112\) | −0.453990 | − | 0.891007i | −0.0428981 | − | 0.0841922i | ||||
\(113\) | 0.452836 | − | 2.85909i | 0.0425992 | − | 0.268961i | −0.957191 | − | 0.289458i | \(-0.906525\pi\) |
0.999790 | + | 0.0204972i | \(0.00652493\pi\) | |||||||
\(114\) | 3.42748 | − | 4.71752i | 0.321013 | − | 0.441836i | ||||
\(115\) | −9.86704 | − | 2.95545i | −0.920106 | − | 0.275597i | ||||
\(116\) | 0.995510 | − | 0.323461i | 0.0924308 | − | 0.0300326i | ||||
\(117\) | −1.77877 | + | 0.281729i | −0.164447 | + | 0.0260459i | ||||
\(118\) | −4.03934 | − | 0.639768i | −0.371851 | − | 0.0588955i | ||||
\(119\) | 5.93659 | + | 1.92892i | 0.544207 | + | 0.176823i | ||||
\(120\) | 3.42792 | − | 0.624542i | 0.312925 | − | 0.0570126i | ||||
\(121\) | 5.68944 | − | 9.41437i | 0.517222 | − | 0.855851i | ||||
\(122\) | 10.9356 | + | 10.9356i | 0.990064 | + | 0.990064i | ||||
\(123\) | −16.7207 | + | 8.51963i | −1.50766 | + | 0.768189i | ||||
\(124\) | −2.20620 | − | 3.03658i | −0.198123 | − | 0.272693i | ||||
\(125\) | 11.1374 | + | 0.978926i | 0.996159 | + | 0.0875578i | ||||
\(126\) | −0.176716 | − | 0.543876i | −0.0157431 | − | 0.0484523i | ||||
\(127\) | −6.62623 | − | 3.37623i | −0.587983 | − | 0.299592i | 0.134574 | − | 0.990904i | \(-0.457033\pi\) |
−0.722557 | + | 0.691311i | \(0.757033\pi\) | |||||||
\(128\) | −0.156434 | − | 0.987688i | −0.0138270 | − | 0.0873001i | ||||
\(129\) | −7.37200 | + | 5.35607i | −0.649068 | + | 0.471576i | ||||
\(130\) | 0.940399 | − | 6.97884i | 0.0824784 | − | 0.612085i | ||||
\(131\) | 9.41606i | 0.822685i | 0.911481 | + | 0.411343i | \(0.134940\pi\) | ||||
−0.911481 | + | 0.411343i | \(0.865060\pi\) | |||||||
\(132\) | 4.97839 | + | 1.38747i | 0.433314 | + | 0.120764i | ||||
\(133\) | 2.64609 | − | 2.64609i | 0.229445 | − | 0.229445i | ||||
\(134\) | 1.61413 | − | 4.96777i | 0.139439 | − | 0.429150i | ||||
\(135\) | 12.4423 | − | 0.287923i | 1.07086 | − | 0.0247804i | ||||
\(136\) | 5.04997 | + | 3.66902i | 0.433031 | + | 0.314616i | ||||
\(137\) | 8.75411 | − | 17.1809i | 0.747914 | − | 1.46786i | −0.131252 | − | 0.991349i | \(-0.541900\pi\) |
0.879166 | − | 0.476516i | \(-0.158100\pi\) | |||||||
\(138\) | 3.25868 | − | 6.39552i | 0.277397 | − | 0.544423i | ||||
\(139\) | −12.9427 | − | 9.40339i | −1.09778 | − | 0.797585i | −0.117085 | − | 0.993122i | \(-0.537355\pi\) |
−0.980696 | + | 0.195537i | \(0.937355\pi\) | |||||||
\(140\) | 2.23547 | − | 0.0517302i | 0.188932 | − | 0.00437200i | ||||
\(141\) | −5.27926 | + | 16.2479i | −0.444594 | + | 1.36832i | ||||
\(142\) | −3.20449 | + | 3.20449i | −0.268915 | + | 0.268915i | ||||
\(143\) | 5.77600 | − | 8.70246i | 0.483013 | − | 0.727736i | ||||
\(144\) | − | 0.571865i | − | 0.0476554i | ||||||
\(145\) | −0.312569 | + | 2.31962i | −0.0259574 | + | 0.192634i | ||||
\(146\) | 10.6723 | − | 7.75390i | 0.883248 | − | 0.641717i | ||||
\(147\) | 0.243764 | + | 1.53906i | 0.0201053 | + | 0.126940i | ||||
\(148\) | 0.343213 | + | 0.174876i | 0.0282119 | + | 0.0143747i | ||||
\(149\) | −2.96335 | − | 9.12026i | −0.242767 | − | 0.747161i | −0.995996 | − | 0.0894019i | \(-0.971504\pi\) |
0.753228 | − | 0.657759i | \(-0.228496\pi\) | |||||||
\(150\) | −2.06229 | + | 7.51334i | −0.168385 | + | 0.613462i | ||||
\(151\) | −12.5549 | − | 17.2804i | −1.02171 | − | 1.40626i | −0.911001 | − | 0.412405i | \(-0.864689\pi\) |
−0.110706 | − | 0.993853i | \(-0.535311\pi\) | |||||||
\(152\) | 3.33427 | − | 1.69890i | 0.270445 | − | 0.137799i | ||||
\(153\) | 2.52412 | + | 2.52412i | 0.204063 | + | 0.204063i | ||||
\(154\) | 3.01624 | + | 1.37923i | 0.243056 | + | 0.111141i | ||||
\(155\) | 8.25697 | − | 1.50436i | 0.663216 | − | 0.120833i | ||||
\(156\) | 4.66712 | + | 1.51644i | 0.373668 | + | 0.121412i | ||||
\(157\) | 15.7113 | + | 2.48842i | 1.25390 | + | 0.198598i | 0.747826 | − | 0.663895i | \(-0.231098\pi\) |
0.506070 | + | 0.862493i | \(0.331098\pi\) | |||||||
\(158\) | −9.82303 | + | 1.55581i | −0.781478 | + | 0.123774i | ||||
\(159\) | −16.1231 | + | 5.23872i | −1.27865 | + | 0.415457i | ||||
\(160\) | 2.14204 | + | 0.641600i | 0.169343 | + | 0.0507229i | ||||
\(161\) | 2.70756 | − | 3.72663i | 0.213385 | − | 0.293700i | ||||
\(162\) | −1.08837 | + | 6.87172i | −0.0855107 | + | 0.539893i | ||||
\(163\) | 11.4553 | + | 22.4823i | 0.897248 | + | 1.76095i | 0.585215 | + | 0.810878i | \(0.301010\pi\) |
0.312034 | + | 0.950071i | \(0.398990\pi\) | |||||||
\(164\) | −12.0431 | −0.940406 | ||||||||
\(165\) | −7.61919 | + | 8.68881i | −0.593153 | + | 0.676423i | ||||
\(166\) | −16.1737 | −1.25532 | ||||||||
\(167\) | 2.35978 | + | 4.63132i | 0.182605 | + | 0.358382i | 0.964104 | − | 0.265524i | \(-0.0855448\pi\) |
−0.781499 | + | 0.623906i | \(0.785545\pi\) | |||||||
\(168\) | −0.243764 | + | 1.53906i | −0.0188068 | + | 0.118741i | ||||
\(169\) | −1.81172 | + | 2.49362i | −0.139363 | + | 0.191817i | ||||
\(170\) | −12.2865 | + | 6.62271i | −0.942335 | + | 0.507939i | ||||
\(171\) | 2.03526 | − | 0.661296i | 0.155640 | − | 0.0505706i | ||||
\(172\) | −5.77579 | + | 0.914795i | −0.440400 | + | 0.0697524i | ||||
\(173\) | −20.4539 | − | 3.23958i | −1.55508 | − | 0.246301i | −0.681075 | − | 0.732213i | \(-0.738487\pi\) |
−0.874008 | + | 0.485912i | \(0.838487\pi\) | |||||||
\(174\) | −1.55125 | − | 0.504032i | −0.117600 | − | 0.0382106i | ||||
\(175\) | −2.06145 | + | 4.55526i | −0.155831 | + | 0.344346i | ||||
\(176\) | 2.44241 | + | 2.24379i | 0.184104 | + | 0.169132i | ||||
\(177\) | 4.50621 | + | 4.50621i | 0.338708 | + | 0.338708i | ||||
\(178\) | 7.32917 | − | 3.73440i | 0.549344 | − | 0.279905i | ||||
\(179\) | −6.06322 | − | 8.34531i | −0.453186 | − | 0.623758i | 0.519892 | − | 0.854232i | \(-0.325972\pi\) |
−0.973078 | + | 0.230474i | \(0.925972\pi\) | |||||||
\(180\) | 1.15248 | + | 0.554017i | 0.0859009 | + | 0.0412940i | ||||
\(181\) | −4.19776 | − | 12.9194i | −0.312017 | − | 0.960290i | −0.976965 | − | 0.213400i | \(-0.931546\pi\) |
0.664948 | − | 0.746890i | \(-0.268454\pi\) | |||||||
\(182\) | 2.80599 | + | 1.42973i | 0.207994 | + | 0.105978i | ||||
\(183\) | −3.76988 | − | 23.8021i | −0.278677 | − | 1.75950i | ||||
\(184\) | 3.72663 | − | 2.70756i | 0.274731 | − | 0.199604i | ||||
\(185\) | −0.684928 | + | 0.522260i | −0.0503569 | + | 0.0383973i | ||||
\(186\) | 5.84875i | 0.428851i | ||||||||
\(187\) | −20.6841 | + | 0.876673i | −1.51257 | + | 0.0641087i | ||||
\(188\) | −7.75245 | + | 7.75245i | −0.565406 | + | 0.565406i | ||||
\(189\) | −1.71994 | + | 5.29344i | −0.125107 | + | 0.385041i | ||||
\(190\) | 0.193582 | + | 8.36544i | 0.0140439 | + | 0.606893i | ||||
\(191\) | −2.37619 | − | 1.72640i | −0.171935 | − | 0.124918i | 0.498490 | − | 0.866896i | \(-0.333888\pi\) |
−0.670425 | + | 0.741977i | \(0.733888\pi\) | |||||||
\(192\) | −0.707429 | + | 1.38841i | −0.0510543 | + | 0.100200i | ||||
\(193\) | 5.72246 | − | 11.2310i | 0.411912 | − | 0.808423i | −0.588088 | − | 0.808797i | \(-0.700119\pi\) |
1.00000 | 0.000374347i | \(0.000119158\pi\) | ||||||||
\(194\) | 9.65892 | + | 7.01762i | 0.693470 | + | 0.503836i | ||||
\(195\) | −7.57754 | + | 7.93654i | −0.542639 | + | 0.568348i | ||||
\(196\) | −0.309017 | + | 0.951057i | −0.0220726 | + | 0.0679326i | ||||
\(197\) | 9.56199 | − | 9.56199i | 0.681263 | − | 0.681263i | −0.279021 | − | 0.960285i | \(-0.590010\pi\) |
0.960285 | + | 0.279021i | \(0.0900101\pi\) | |||||||
\(198\) | 1.17881 | + | 1.48585i | 0.0837742 | + | 0.105595i | ||||
\(199\) | 13.2035i | 0.935973i | 0.883736 | + | 0.467987i | \(0.155020\pi\) | ||||
−0.883736 | + | 0.467987i | \(0.844980\pi\) | |||||||
\(200\) | −3.36821 | + | 3.69529i | −0.238168 | + | 0.261297i | ||||
\(201\) | −6.58490 | + | 4.78421i | −0.464463 | + | 0.337452i | ||||
\(202\) | −0.0727672 | − | 0.459434i | −0.00511988 | − | 0.0323257i | ||||
\(203\) | −0.932654 | − | 0.475211i | −0.0654595 | − | 0.0333533i | ||||
\(204\) | −3.00573 | − | 9.25068i | −0.210443 | − | 0.647677i | ||||
\(205\) | 11.6672 | − | 24.2705i | 0.814874 | − | 1.69512i | ||||
\(206\) | −0.959775 | − | 1.32102i | −0.0668707 | − | 0.0920396i | ||||
\(207\) | 2.34711 | − | 1.19591i | 0.163135 | − | 0.0831216i | ||||
\(208\) | 2.22685 | + | 2.22685i | 0.154404 | + | 0.154404i | ||||
\(209\) | −5.16126 | + | 11.2872i | −0.357012 | + | 0.780752i | ||||
\(210\) | −2.86552 | − | 1.98229i | −0.197740 | − | 0.136791i | ||||
\(211\) | −9.90100 | − | 3.21703i | −0.681613 | − | 0.221469i | −0.0523116 | − | 0.998631i | \(-0.516659\pi\) |
−0.629301 | + | 0.777161i | \(0.716659\pi\) | |||||||
\(212\) | −10.7455 | − | 1.70192i | −0.738003 | − | 0.116888i | ||||
\(213\) | 6.97477 | − | 1.10469i | 0.477903 | − | 0.0756925i | ||||
\(214\) | −7.49703 | + | 2.43593i | −0.512487 | + | 0.166517i | ||||
\(215\) | 3.75194 | − | 12.5262i | 0.255880 | − | 0.854280i | ||||
\(216\) | −3.27152 | + | 4.50287i | −0.222599 | + | 0.306381i | ||||
\(217\) | −0.587164 | + | 3.70721i | −0.0398593 | + | 0.251662i | ||||
\(218\) | 4.39238 | + | 8.62053i | 0.297489 | + | 0.583856i | ||||
\(219\) | −20.5560 | −1.38904 | ||||||||
\(220\) | −6.88811 | + | 2.74844i | −0.464396 | + | 0.185300i | ||||
\(221\) | −19.6579 | −1.32233 | ||||||||
\(222\) | −0.272499 | − | 0.534810i | −0.0182890 | − | 0.0358941i | ||||
\(223\) | −0.501162 | + | 3.16421i | −0.0335603 | + | 0.211891i | −0.998770 | − | 0.0495862i | \(-0.984210\pi\) |
0.965210 | + | 0.261478i | \(0.0842098\pi\) | |||||||
\(224\) | −0.587785 | + | 0.809017i | −0.0392731 | + | 0.0540547i | ||||
\(225\) | −2.23303 | + | 1.78587i | −0.148868 | + | 0.119058i | ||||
\(226\) | −2.75305 | + | 0.894521i | −0.183130 | + | 0.0595027i | ||||
\(227\) | −5.81088 | + | 0.920352i | −0.385681 | + | 0.0610859i | −0.346265 | − | 0.938137i | \(-0.612550\pi\) |
−0.0394169 | + | 0.999223i | \(0.512550\pi\) | |||||||
\(228\) | −5.75939 | − | 0.912197i | −0.381425 | − | 0.0604117i | ||||
\(229\) | 19.7972 | + | 6.43251i | 1.30824 | + | 0.425072i | 0.878440 | − | 0.477853i | \(-0.158585\pi\) |
0.429798 | + | 0.902925i | \(0.358585\pi\) | |||||||
\(230\) | 1.84622 | + | 10.1333i | 0.121736 | + | 0.668173i | ||||
\(231\) | −2.53917 | − | 4.50134i | −0.167065 | − | 0.296167i | ||||
\(232\) | −0.740158 | − | 0.740158i | −0.0485938 | − | 0.0485938i | ||||
\(233\) | −3.16648 | + | 1.61340i | −0.207443 | + | 0.105697i | −0.554625 | − | 0.832100i | \(-0.687138\pi\) |
0.347183 | + | 0.937798i | \(0.387138\pi\) | |||||||
\(234\) | 1.05857 | + | 1.45699i | 0.0692007 | + | 0.0952466i | ||||
\(235\) | −8.11304 | − | 23.1340i | −0.529237 | − | 1.50910i | ||||
\(236\) | 1.26378 | + | 3.88953i | 0.0822653 | + | 0.253187i | ||||
\(237\) | 13.8084 | + | 7.03572i | 0.896951 | + | 0.457019i | ||||
\(238\) | −0.976480 | − | 6.16525i | −0.0632958 | − | 0.399634i | ||||
\(239\) | 0.985878 | − | 0.716282i | 0.0637711 | − | 0.0463324i | −0.555443 | − | 0.831555i | \(-0.687451\pi\) |
0.619214 | + | 0.785222i | \(0.287451\pi\) | |||||||
\(240\) | −2.11271 | − | 2.77076i | −0.136375 | − | 0.178852i | ||||
\(241\) | 7.57515i | 0.487958i | 0.969781 | + | 0.243979i | \(0.0784528\pi\) | ||||
−0.969781 | + | 0.243979i | \(0.921547\pi\) | |||||||
\(242\) | −10.9712 | − | 0.795295i | −0.705256 | − | 0.0511235i | ||||
\(243\) | −4.14099 | + | 4.14099i | −0.265644 | + | 0.265644i | ||||
\(244\) | 4.77904 | − | 14.7084i | 0.305947 | − | 0.941607i | ||||
\(245\) | −1.61729 | − | 1.54414i | −0.103325 | − | 0.0986513i | ||||
\(246\) | 15.1821 | + | 11.0304i | 0.967975 | + | 0.703275i | ||||
\(247\) | −5.35023 | + | 10.5004i | −0.340427 | + | 0.668126i | ||||
\(248\) | −1.70402 | + | 3.34432i | −0.108205 | + | 0.212365i | ||||
\(249\) | 20.3894 | + | 14.8138i | 1.29212 | + | 0.938783i | ||||
\(250\) | −4.18404 | − | 10.3679i | −0.264622 | − | 0.655725i | ||||
\(251\) | −3.66006 | + | 11.2645i | −0.231021 | + | 0.711010i | 0.766603 | + | 0.642121i | \(0.221945\pi\) |
−0.997624 | + | 0.0688888i | \(0.978055\pi\) | |||||||
\(252\) | −0.404370 | + | 0.404370i | −0.0254729 | + | 0.0254729i | ||||
\(253\) | −4.10152 | + | 14.7167i | −0.257861 | + | 0.925234i | ||||
\(254\) | 7.43679i | 0.466626i | ||||||||
\(255\) | 21.5548 | + | 2.90451i | 1.34982 | + | 0.181888i | ||||
\(256\) | −0.809017 | + | 0.587785i | −0.0505636 | + | 0.0367366i | ||||
\(257\) | 2.45409 | + | 15.4945i | 0.153082 | + | 0.966521i | 0.937928 | + | 0.346830i | \(0.112742\pi\) |
−0.784846 | + | 0.619691i | \(0.787258\pi\) | |||||||
\(258\) | 8.11911 | + | 4.13689i | 0.505474 | + | 0.257552i | ||||
\(259\) | −0.119032 | − | 0.366344i | −0.00739631 | − | 0.0227635i | ||||
\(260\) | −6.64513 | + | 2.33043i | −0.412113 | + | 0.144527i | ||||
\(261\) | −0.351845 | − | 0.484274i | −0.0217787 | − | 0.0299758i | ||||
\(262\) | 8.38977 | − | 4.27480i | 0.518322 | − | 0.264098i | ||||
\(263\) | −7.79887 | − | 7.79887i | −0.480899 | − | 0.480899i | 0.424520 | − | 0.905419i | \(-0.360443\pi\) |
−0.905419 | + | 0.424520i | \(0.860443\pi\) | |||||||
\(264\) | −1.02390 | − | 5.06568i | −0.0630168 | − | 0.311771i | ||||
\(265\) | 13.8400 | − | 20.0066i | 0.850184 | − | 1.22900i | ||||
\(266\) | −3.55899 | − | 1.15638i | −0.218215 | − | 0.0709025i | ||||
\(267\) | −12.6599 | − | 2.00513i | −0.774773 | − | 0.122712i | ||||
\(268\) | −5.15912 | + | 0.817124i | −0.315143 | + | 0.0499138i | ||||
\(269\) | −3.32018 | + | 1.07879i | −0.202435 | + | 0.0657750i | −0.408479 | − | 0.912768i | \(-0.633941\pi\) |
0.206045 | + | 0.978543i | \(0.433941\pi\) | |||||||
\(270\) | −5.90522 | − | 10.9554i | −0.359380 | − | 0.666727i | ||||
\(271\) | −8.05499 | + | 11.0867i | −0.489306 | + | 0.673472i | −0.980260 | − | 0.197714i | \(-0.936648\pi\) |
0.490954 | + | 0.871186i | \(0.336648\pi\) | |||||||
\(272\) | 0.976480 | − | 6.16525i | 0.0592078 | − | 0.373823i | ||||
\(273\) | −2.22787 | − | 4.37243i | −0.134837 | − | 0.264632i | ||||
\(274\) | −19.2826 | −1.16490 | ||||||||
\(275\) | 1.13420 | − | 16.5443i | 0.0683947 | − | 0.997658i | ||||
\(276\) | −7.17786 | −0.432057 | ||||||||
\(277\) | −5.25155 | − | 10.3067i | −0.315535 | − | 0.619273i | 0.677707 | − | 0.735332i | \(-0.262974\pi\) |
−0.993242 | + | 0.116059i | \(0.962974\pi\) | |||||||
\(278\) | −2.50264 | + | 15.8010i | −0.150098 | + | 0.947683i | ||||
\(279\) | −1.26165 | + | 1.73651i | −0.0755331 | + | 0.103962i | ||||
\(280\) | −1.06097 | − | 1.96833i | −0.0634053 | − | 0.117630i | ||||
\(281\) | 6.90398 | − | 2.24324i | 0.411857 | − | 0.133820i | −0.0957577 | − | 0.995405i | \(-0.530527\pi\) |
0.507615 | + | 0.861584i | \(0.330527\pi\) | |||||||
\(282\) | 16.8737 | − | 2.67253i | 1.00481 | − | 0.159147i | ||||
\(283\) | 22.2496 | + | 3.52399i | 1.32260 | + | 0.209479i | 0.777496 | − | 0.628888i | \(-0.216490\pi\) |
0.545105 | + | 0.838368i | \(0.316490\pi\) | |||||||
\(284\) | 4.31003 | + | 1.40041i | 0.255753 | + | 0.0830992i | ||||
\(285\) | 7.41799 | − | 10.7232i | 0.439404 | − | 0.635187i | ||||
\(286\) | −10.3762 | − | 1.19562i | −0.613557 | − | 0.0706984i | ||||
\(287\) | 8.51574 | + | 8.51574i | 0.502668 | + | 0.502668i | ||||
\(288\) | −0.509536 | + | 0.259621i | −0.0300247 | + | 0.0152983i | ||||
\(289\) | 12.9100 | + | 17.7691i | 0.759414 | + | 1.04524i | ||||
\(290\) | 2.20870 | − | 0.774585i | 0.129699 | − | 0.0454852i | ||||
\(291\) | −5.74897 | − | 17.6935i | −0.337010 | − | 1.03721i | ||||
\(292\) | −11.7539 | − | 5.98892i | −0.687846 | − | 0.350475i | ||||
\(293\) | 3.12638 | + | 19.7392i | 0.182645 | + | 1.15318i | 0.893242 | + | 0.449577i | \(0.148425\pi\) |
−0.710596 | + | 0.703600i | \(0.751575\pi\) | |||||||
\(294\) | 1.26065 | − | 0.915915i | 0.0735225 | − | 0.0534172i | ||||
\(295\) | −9.06291 | − | 1.22123i | −0.527663 | − | 0.0711026i | ||||
\(296\) | − | 0.385197i | − | 0.0223891i | ||||||
\(297\) | −0.781696 | − | 18.4433i | −0.0453586 | − | 1.07019i | ||||
\(298\) | −6.78088 | + | 6.78088i | −0.392806 | + | 0.392806i | ||||
\(299\) | −4.48278 | + | 13.7966i | −0.259246 | + | 0.797876i | ||||
\(300\) | 7.63070 | − | 1.57347i | 0.440559 | − | 0.0908444i | ||||
\(301\) | 4.73095 | + | 3.43724i | 0.272688 | + | 0.198119i | ||||
\(302\) | −9.69712 | + | 19.0317i | −0.558006 | + | 1.09515i | ||||
\(303\) | −0.329069 | + | 0.645834i | −0.0189045 | + | 0.0371022i | ||||
\(304\) | −3.02745 | − | 2.19957i | −0.173636 | − | 0.126154i | ||||
\(305\) | 25.0119 | + | 23.8805i | 1.43218 | + | 1.36740i | ||||
\(306\) | 1.10308 | − | 3.39493i | 0.0630589 | − | 0.194075i | ||||
\(307\) | 18.3670 | − | 18.3670i | 1.04826 | − | 1.04826i | 0.0494849 | − | 0.998775i | \(-0.484242\pi\) |
0.998775 | − | 0.0494849i | \(-0.0157580\pi\) | |||||||
\(308\) | −0.140445 | − | 3.31365i | −0.00800260 | − | 0.188813i | ||||
\(309\) | 2.54441i | 0.144746i | ||||||||
\(310\) | −5.08898 | − | 6.67405i | −0.289035 | − | 0.379061i | ||||
\(311\) | 10.7451 | − | 7.80674i | 0.609296 | − | 0.442680i | −0.239870 | − | 0.970805i | \(-0.577105\pi\) |
0.849166 | + | 0.528125i | \(0.177105\pi\) | |||||||
\(312\) | −0.767670 | − | 4.84688i | −0.0434608 | − | 0.274401i | ||||
\(313\) | −21.3184 | − | 10.8623i | −1.20499 | − | 0.613972i | −0.268029 | − | 0.963411i | \(-0.586372\pi\) |
−0.936959 | + | 0.349439i | \(0.886372\pi\) | |||||||
\(314\) | −4.91557 | − | 15.1286i | −0.277401 | − | 0.853754i | ||||
\(315\) | −0.423178 | − | 1.20668i | −0.0238434 | − | 0.0679885i | ||||
\(316\) | 5.84580 | + | 8.04606i | 0.328852 | + | 0.452626i | ||||
\(317\) | −9.53535 | + | 4.85850i | −0.535559 | + | 0.272881i | −0.700782 | − | 0.713375i | \(-0.747165\pi\) |
0.165224 | + | 0.986256i | \(0.447165\pi\) | |||||||
\(318\) | 11.9875 | + | 11.9875i | 0.672224 | + | 0.672224i | ||||
\(319\) | 3.44883 | + | 0.397399i | 0.193097 | + | 0.0222501i | ||||
\(320\) | −0.400798 | − | 2.19985i | −0.0224053 | − | 0.122976i | ||||
\(321\) | 11.6822 | + | 3.79579i | 0.652039 | + | 0.211860i | ||||
\(322\) | −4.54966 | − | 0.720595i | −0.253542 | − | 0.0401572i | ||||
\(323\) | 23.0712 | − | 3.65413i | 1.28372 | − | 0.203321i | ||||
\(324\) | 6.61686 | − | 2.14995i | 0.367603 | − | 0.119441i | ||||
\(325\) | 1.74122 | − | 15.6496i | 0.0965852 | − | 0.868086i | ||||
\(326\) | 14.8313 | − | 20.4135i | 0.821428 | − | 1.13060i | ||||
\(327\) | 2.35842 | − | 14.8905i | 0.130421 | − | 0.823446i | ||||
\(328\) | 5.46744 | + | 10.7305i | 0.301889 | + | 0.592491i | ||||
\(329\) | 10.9636 | 0.604444 | ||||||||
\(330\) | 11.2008 | + | 2.84411i | 0.616585 | + | 0.156563i | ||||
\(331\) | −11.6835 | −0.642186 | −0.321093 | − | 0.947048i | \(-0.604050\pi\) | ||||
−0.321093 | + | 0.947048i | \(0.604050\pi\) | |||||||
\(332\) | 7.34272 | + | 14.4109i | 0.402984 | + | 0.790901i | ||||
\(333\) | 0.0344595 | − | 0.217568i | 0.00188837 | − | 0.0119227i | ||||
\(334\) | 3.05522 | − | 4.20515i | 0.167174 | − | 0.230096i | ||||
\(335\) | 3.35135 | − | 11.1888i | 0.183104 | − | 0.611310i | ||||
\(336\) | 1.48198 | − | 0.481525i | 0.0808487 | − | 0.0262693i | ||||
\(337\) | 0.588893 | − | 0.0932715i | 0.0320791 | − | 0.00508082i | −0.140374 | − | 0.990099i | \(-0.544831\pi\) |
0.172453 | + | 0.985018i | \(0.444831\pi\) | |||||||
\(338\) | 3.04433 | + | 0.482175i | 0.165590 | + | 0.0262269i | ||||
\(339\) | 4.28994 | + | 1.39389i | 0.232997 | + | 0.0757055i | ||||
\(340\) | 11.4788 | + | 7.94074i | 0.622528 | + | 0.430647i | ||||
\(341\) | −2.46631 | − | 12.2019i | −0.133558 | − | 0.660771i | ||||
\(342\) | −1.51321 | − | 1.51321i | −0.0818249 | − | 0.0818249i | ||||
\(343\) | 0.891007 | − | 0.453990i | 0.0481098 | − | 0.0245132i | ||||
\(344\) | 3.43724 | + | 4.73095i | 0.185324 | + | 0.255076i | ||||
\(345\) | 6.95384 | − | 14.4656i | 0.374382 | − | 0.778800i | ||||
\(346\) | 6.39940 | + | 19.6953i | 0.344034 | + | 1.05883i | ||||
\(347\) | 11.3312 | + | 5.77352i | 0.608289 | + | 0.309939i | 0.730867 | − | 0.682520i | \(-0.239116\pi\) |
−0.122578 | + | 0.992459i | \(0.539116\pi\) | |||||||
\(348\) | 0.255158 | + | 1.61100i | 0.0136779 | + | 0.0863587i | ||||
\(349\) | 5.02124 | − | 3.64815i | 0.268781 | − | 0.195281i | −0.445228 | − | 0.895417i | \(-0.646877\pi\) |
0.714009 | + | 0.700136i | \(0.246877\pi\) | |||||||
\(350\) | 4.99465 | − | 0.231283i | 0.266975 | − | 0.0123626i | ||||
\(351\) | − | 17.5282i | − | 0.935586i | ||||||
\(352\) | 0.890403 | − | 3.19487i | 0.0474586 | − | 0.170287i | ||||
\(353\) | −4.77733 | + | 4.77733i | −0.254271 | + | 0.254271i | −0.822719 | − | 0.568448i | \(-0.807544\pi\) |
0.568448 | + | 0.822719i | \(0.307544\pi\) | |||||||
\(354\) | 1.96929 | − | 6.06084i | 0.104666 | − | 0.322130i | ||||
\(355\) | −6.99776 | + | 7.32930i | −0.371403 | + | 0.388999i | ||||
\(356\) | −6.65475 | − | 4.83496i | −0.352701 | − | 0.256252i | ||||
\(357\) | −4.41585 | + | 8.66659i | −0.233711 | + | 0.458685i | ||||
\(358\) | −4.68308 | + | 9.19106i | −0.247508 | + | 0.485763i | ||||
\(359\) | −8.76334 | − | 6.36694i | −0.462511 | − | 0.336034i | 0.332004 | − | 0.943278i | \(-0.392275\pi\) |
−0.794516 | + | 0.607244i | \(0.792275\pi\) | |||||||
\(360\) | −0.0295827 | − | 1.27839i | −0.00155915 | − | 0.0673769i | ||||
\(361\) | −1.54397 | + | 4.75185i | −0.0812616 | + | 0.250097i | ||||
\(362\) | −9.60550 | + | 9.60550i | −0.504854 | + | 0.504854i | ||||
\(363\) | 13.1024 | + | 11.0513i | 0.687699 | + | 0.580042i | ||||
\(364\) | − | 3.14924i | − | 0.165065i | ||||||
\(365\) | 23.4565 | − | 17.8857i | 1.22777 | − | 0.936180i | ||||
\(366\) | −19.4963 | + | 14.1649i | −1.01909 | + | 0.740411i | ||||
\(367\) | −3.96729 | − | 25.0485i | −0.207091 | − | 1.30752i | −0.843901 | − | 0.536499i | \(-0.819747\pi\) |
0.636811 | − | 0.771020i | \(-0.280253\pi\) | |||||||
\(368\) | −4.10431 | − | 2.09125i | −0.213952 | − | 0.109014i | ||||
\(369\) | 2.12821 | + | 6.54994i | 0.110790 | + | 0.340976i | ||||
\(370\) | 0.776288 | + | 0.373175i | 0.0403573 | + | 0.0194004i | ||||
\(371\) | 6.39477 | + | 8.80164i | 0.332000 | + | 0.456958i | ||||
\(372\) | 5.21128 | − | 2.65528i | 0.270192 | − | 0.137670i | ||||
\(373\) | 14.2708 | + | 14.2708i | 0.738913 | + | 0.738913i | 0.972368 | − | 0.233455i | \(-0.0750030\pi\) |
−0.233455 | + | 0.972368i | \(0.575003\pi\) | |||||||
\(374\) | 10.1715 | + | 18.0317i | 0.525957 | + | 0.932397i | ||||
\(375\) | −4.22152 | + | 16.9025i | −0.217998 | + | 0.872843i | ||||
\(376\) | 10.4270 | + | 3.38795i | 0.537733 | + | 0.174720i | ||||
\(377\) | 3.25586 | + | 0.515677i | 0.167685 | + | 0.0265587i | ||||
\(378\) | 5.49732 | − | 0.870691i | 0.282752 | − | 0.0447835i | ||||
\(379\) | 20.9474 | − | 6.80621i | 1.07599 | − | 0.349612i | 0.283175 | − | 0.959068i | \(-0.408612\pi\) |
0.792819 | + | 0.609457i | \(0.208612\pi\) | |||||||
\(380\) | 7.36578 | − | 3.97031i | 0.377856 | − | 0.203673i | ||||
\(381\) | 6.81147 | − | 9.37518i | 0.348962 | − | 0.480305i | ||||
\(382\) | −0.459469 | + | 2.90097i | −0.0235085 | + | 0.148427i | ||||
\(383\) | −1.73746 | − | 3.40997i | −0.0887803 | − | 0.174241i | 0.842347 | − | 0.538936i | \(-0.181173\pi\) |
−0.931127 | + | 0.364695i | \(0.881173\pi\) | |||||||
\(384\) | 1.55825 | 0.0795190 | ||||||||
\(385\) | 6.81407 | + | 2.92719i | 0.347277 | + | 0.149183i | ||||
\(386\) | −12.6048 | −0.641568 | ||||||||
\(387\) | 1.51821 | + | 2.97965i | 0.0771749 | + | 0.151464i | ||||
\(388\) | 1.86768 | − | 11.7921i | 0.0948173 | − | 0.598653i | ||||
\(389\) | 13.4814 | − | 18.5555i | 0.683532 | − | 0.940801i | −0.316438 | − | 0.948613i | \(-0.602487\pi\) |
0.999969 | + | 0.00781271i | \(0.00248689\pi\) | |||||||
\(390\) | 10.5116 | + | 3.14852i | 0.532278 | + | 0.159432i | ||||
\(391\) | 27.3461 | − | 8.88530i | 1.38295 | − | 0.449349i | ||||
\(392\) | 0.987688 | − | 0.156434i | 0.0498858 | − | 0.00790113i | ||||
\(393\) | −14.4919 | − | 2.29529i | −0.731020 | − | 0.115782i | ||||
\(394\) | −12.8608 | − | 4.17874i | −0.647920 | − | 0.210522i | ||||
\(395\) | −21.8786 | + | 3.98612i | −1.10083 | + | 0.200564i | ||||
\(396\) | 0.788733 | − | 1.72489i | 0.0396353 | − | 0.0866787i | ||||
\(397\) | 8.99341 | + | 8.99341i | 0.451366 | + | 0.451366i | 0.895808 | − | 0.444442i | \(-0.146598\pi\) |
−0.444442 | + | 0.895808i | \(0.646598\pi\) | |||||||
\(398\) | 11.7644 | − | 5.99428i | 0.589698 | − | 0.300466i | ||||
\(399\) | 3.42748 | + | 4.71752i | 0.171589 | + | 0.236172i | ||||
\(400\) | 4.82166 | + | 1.32347i | 0.241083 | + | 0.0661734i | ||||
\(401\) | 4.50283 | + | 13.8583i | 0.224861 | + | 0.692050i | 0.998306 | + | 0.0581868i | \(0.0185319\pi\) |
−0.773445 | + | 0.633863i | \(0.781468\pi\) | |||||||
\(402\) | 7.25225 | + | 3.69521i | 0.361709 | + | 0.184300i | ||||
\(403\) | −1.84912 | − | 11.6749i | −0.0921113 | − | 0.581568i | ||||
\(404\) | −0.376323 | + | 0.273415i | −0.0187228 | + | 0.0136029i | ||||
\(405\) | −2.07755 | + | 15.4178i | −0.103234 | + | 0.766117i | ||||
\(406\) | 1.04674i | 0.0519489i | ||||||||
\(407\) | 0.794020 | + | 1.00084i | 0.0393581 | + | 0.0496096i | ||||
\(408\) | −6.87785 | + | 6.87785i | −0.340504 | + | 0.340504i | ||||
\(409\) | 11.4318 | − | 35.1834i | 0.565265 | − | 1.73971i | −0.101896 | − | 0.994795i | \(-0.532491\pi\) |
0.667161 | − | 0.744913i | \(-0.267509\pi\) | |||||||
\(410\) | −26.9219 | + | 0.622991i | −1.32958 | + | 0.0307673i | ||||
\(411\) | 24.3086 | + | 17.6612i | 1.19905 | + | 0.871163i | ||||
\(412\) | −0.741306 | + | 1.45489i | −0.0365215 | + | 0.0716775i | ||||
\(413\) | 1.85668 | − | 3.64394i | 0.0913613 | − | 0.179307i | ||||
\(414\) | −2.13113 | − | 1.54836i | −0.104739 | − | 0.0760976i | ||||
\(415\) | −36.1559 | + | 0.836670i | −1.77482 | + | 0.0410705i | ||||
\(416\) | 0.973169 | − | 2.99511i | 0.0477135 | − | 0.146847i | ||||
\(417\) | 17.6273 | − | 17.6273i | 0.863215 | − | 0.863215i | ||||
\(418\) | 12.4001 | − | 0.525565i | 0.606511 | − | 0.0257062i | ||||
\(419\) | 4.03308i | 0.197029i | 0.995136 | + | 0.0985144i | \(0.0314090\pi\) | ||||
−0.995136 | + | 0.0985144i | \(0.968591\pi\) | |||||||
\(420\) | −0.465310 | + | 3.45314i | −0.0227048 | + | 0.168496i | ||||
\(421\) | 6.33475 | − | 4.60247i | 0.308737 | − | 0.224310i | −0.422617 | − | 0.906308i | \(-0.638889\pi\) |
0.731354 | + | 0.681998i | \(0.238889\pi\) | |||||||
\(422\) | 1.62857 | + | 10.2824i | 0.0792773 | + | 0.500537i | ||||
\(423\) | 5.58636 | + | 2.84639i | 0.271618 | + | 0.138396i | ||||
\(424\) | 3.36193 | + | 10.3470i | 0.163270 | + | 0.502492i | ||||
\(425\) | −27.1236 | + | 15.4405i | −1.31569 | + | 0.748972i | ||||
\(426\) | −4.15077 | − | 5.71304i | −0.201105 | − | 0.276798i | ||||
\(427\) | −13.7797 | + | 7.02110i | −0.666845 | + | 0.339775i | ||||
\(428\) | 5.57401 | + | 5.57401i | 0.269430 | + | 0.269430i | ||||
\(429\) | 11.9856 | + | 11.0110i | 0.578673 | + | 0.531614i | ||||
\(430\) | −12.8643 | + | 2.34378i | −0.620370 | + | 0.113027i | ||||
\(431\) | −16.4829 | − | 5.35561i | −0.793952 | − | 0.257971i | −0.116166 | − | 0.993230i | \(-0.537060\pi\) |
−0.677786 | + | 0.735259i | \(0.737060\pi\) | |||||||
\(432\) | 5.49732 | + | 0.870691i | 0.264490 | + | 0.0418911i | ||||
\(433\) | −29.5009 | + | 4.67248i | −1.41772 | + | 0.224545i | −0.817795 | − | 0.575510i | \(-0.804803\pi\) |
−0.599926 | + | 0.800055i | \(0.704803\pi\) | |||||||
\(434\) | 3.56971 | − | 1.15987i | 0.171352 | − | 0.0556755i | ||||
\(435\) | −3.49385 | − | 1.04650i | −0.167517 | − | 0.0501759i | ||||
\(436\) | 5.68685 | − | 7.82727i | 0.272351 | − | 0.374858i | ||||
\(437\) | 2.69657 | − | 17.0255i | 0.128994 | − | 0.814438i | ||||
\(438\) | 9.33221 | + | 18.3155i | 0.445910 | + | 0.875148i | ||||
\(439\) | −5.46331 | −0.260750 | −0.130375 | − | 0.991465i | \(-0.541618\pi\) | ||||
−0.130375 | + | 0.991465i | \(0.541618\pi\) | |||||||
\(440\) | 5.57601 | + | 4.88959i | 0.265826 | + | 0.233102i | ||||
\(441\) | 0.571865 | 0.0272317 | ||||||||
\(442\) | 8.92450 | + | 17.5153i | 0.424495 | + | 0.833118i | ||||
\(443\) | −2.76893 | + | 17.4824i | −0.131556 | + | 0.830612i | 0.830352 | + | 0.557239i | \(0.188139\pi\) |
−0.961908 | + | 0.273373i | \(0.911861\pi\) | |||||||
\(444\) | −0.352807 | + | 0.485597i | −0.0167435 | + | 0.0230454i | ||||
\(445\) | 16.1910 | − | 8.72727i | 0.767525 | − | 0.413712i | ||||
\(446\) | 3.04686 | − | 0.989984i | 0.144273 | − | 0.0468771i | ||||
\(447\) | 14.7590 | − | 2.33760i | 0.698078 | − | 0.110565i | ||||
\(448\) | 0.987688 | + | 0.156434i | 0.0466639 | + | 0.00739083i | ||||
\(449\) | 31.4239 | + | 10.2102i | 1.48299 | + | 0.481851i | 0.935003 | − | 0.354639i | \(-0.115396\pi\) |
0.547982 | + | 0.836490i | \(0.315396\pi\) | |||||||
\(450\) | 2.60500 | + | 1.17887i | 0.122801 | + | 0.0555725i | ||||
\(451\) | −36.3249 | − | 16.6102i | −1.71047 | − | 0.782142i | ||||
\(452\) | 2.04688 | + | 2.04688i | 0.0962773 | + | 0.0962773i | ||||
\(453\) | 29.6560 | − | 15.1105i | 1.39336 | − | 0.709954i | ||||
\(454\) | 3.45812 | + | 4.75970i | 0.162298 | + | 0.223384i | ||||
\(455\) | 6.34667 | + | 3.05095i | 0.297537 | + | 0.143031i | ||||
\(456\) | 1.80193 | + | 5.54578i | 0.0843833 | + | 0.259705i | ||||
\(457\) | −27.0241 | − | 13.7695i | −1.26414 | − | 0.644109i | −0.312086 | − | 0.950054i | \(-0.601028\pi\) |
−0.952049 | + | 0.305944i | \(0.901028\pi\) | |||||||
\(458\) | −3.25635 | − | 20.5598i | −0.152159 | − | 0.960694i | ||||
\(459\) | −28.1074 | + | 20.4212i | −1.31194 | + | 0.953180i | ||||
\(460\) | 8.19071 | − | 6.24544i | 0.381894 | − | 0.291195i | ||||
\(461\) | − | 20.0694i | − | 0.934725i | −0.884066 | − | 0.467363i | \(-0.845204\pi\) | ||
0.884066 | − | 0.467363i | \(-0.154796\pi\) | |||||||
\(462\) | −2.85797 | + | 4.30598i | −0.132965 | + | 0.200332i | ||||
\(463\) | −11.7822 | + | 11.7822i | −0.547566 | + | 0.547566i | −0.925736 | − | 0.378170i | \(-0.876553\pi\) |
0.378170 | + | 0.925736i | \(0.376553\pi\) | |||||||
\(464\) | −0.323461 | + | 0.995510i | −0.0150163 | + | 0.0462154i | ||||
\(465\) | 0.302557 | + | 13.0747i | 0.0140308 | + | 0.606325i | ||||
\(466\) | 2.87510 | + | 2.08888i | 0.133187 | + | 0.0967657i | ||||
\(467\) | 4.97976 | − | 9.77333i | 0.230436 | − | 0.452256i | −0.746617 | − | 0.665255i | \(-0.768323\pi\) |
0.977052 | + | 0.212999i | \(0.0683230\pi\) | |||||||
\(468\) | 0.817610 | − | 1.60465i | 0.0377940 | − | 0.0741750i | ||||
\(469\) | 4.22584 | + | 3.07025i | 0.195131 | + | 0.141771i | ||||
\(470\) | −16.9293 | + | 17.7314i | −0.780892 | + | 0.817889i | ||||
\(471\) | −7.65967 | + | 23.5740i | −0.352939 | + | 1.08623i | ||||
\(472\) | 2.89185 | − | 2.89185i | 0.133108 | − | 0.133108i | ||||
\(473\) | −18.6829 | − | 5.20688i | −0.859040 | − | 0.239413i | ||||
\(474\) | − | 15.4975i | − | 0.711824i | ||||||
\(475\) | 0.865492 | + | 18.6907i | 0.0397115 | + | 0.857587i | ||||
\(476\) | −5.04997 | + | 3.66902i | −0.231465 | + | 0.168169i | ||||
\(477\) | 0.973267 | + | 6.14497i | 0.0445629 | + | 0.281359i | ||||
\(478\) | −1.08579 | − | 0.553238i | −0.0496629 | − | 0.0253045i | ||||
\(479\) | 0.175258 | + | 0.539390i | 0.00800776 | + | 0.0246454i | 0.954981 | − | 0.296668i | \(-0.0958756\pi\) |
−0.946973 | + | 0.321314i | \(0.895876\pi\) | |||||||
\(480\) | −1.50961 | + | 3.14034i | −0.0689042 | + | 0.143336i | ||||
\(481\) | 0.713029 | + | 0.981400i | 0.0325113 | + | 0.0447480i | ||||
\(482\) | 6.74950 | − | 3.43904i | 0.307432 | − | 0.156644i | ||||
\(483\) | 5.07552 | + | 5.07552i | 0.230944 | + | 0.230944i | ||||
\(484\) | 4.27221 | + | 10.1365i | 0.194191 | + | 0.460749i | ||||
\(485\) | 21.9553 | + | 15.1880i | 0.996937 | + | 0.689652i | ||||
\(486\) | 5.56961 | + | 1.80968i | 0.252643 | + | 0.0820886i | ||||
\(487\) | −21.7033 | − | 3.43746i | −0.983469 | − | 0.155766i | −0.356066 | − | 0.934461i | \(-0.615882\pi\) |
−0.627403 | + | 0.778695i | \(0.715882\pi\) | |||||||
\(488\) | −15.2749 | + | 2.41930i | −0.691462 | + | 0.109517i | ||||
\(489\) | −37.3940 | + | 12.1501i | −1.69102 | + | 0.549445i | ||||
\(490\) | −0.641600 | + | 2.14204i | −0.0289845 | + | 0.0967677i | ||||
\(491\) | −11.3419 | + | 15.6108i | −0.511854 | + | 0.704507i | −0.984231 | − | 0.176890i | \(-0.943396\pi\) |
0.472376 | + | 0.881397i | \(0.343396\pi\) | |||||||
\(492\) | 2.93566 | − | 18.5351i | 0.132350 | − | 0.835625i | ||||
\(493\) | −2.96632 | − | 5.82172i | −0.133596 | − | 0.262197i | ||||
\(494\) | 11.7849 | 0.530228 | ||||||||
\(495\) | 2.71205 | + | 3.26059i | 0.121898 | + | 0.146552i | ||||
\(496\) | 3.75342 | 0.168533 | ||||||||
\(497\) | −2.05741 | − | 4.03789i | −0.0922873 | − | 0.181124i | ||||
\(498\) | 3.94256 | − | 24.8924i | 0.176671 | − | 1.11545i | ||||
\(499\) | 2.50438 | − | 3.44699i | 0.112112 | − | 0.154308i | −0.749274 | − | 0.662260i | \(-0.769597\pi\) |
0.861385 | + | 0.507952i | \(0.169597\pi\) | |||||||
\(500\) | −7.33837 | + | 8.43495i | −0.328182 | + | 0.377222i | ||||
\(501\) | −7.70312 | + | 2.50290i | −0.344150 | + | 0.111821i | ||||
\(502\) | 11.6984 | − | 1.85284i | 0.522125 | − | 0.0826964i | ||||
\(503\) | 28.0489 | + | 4.44252i | 1.25064 | + | 0.198082i | 0.746410 | − | 0.665487i | \(-0.231776\pi\) |
0.504231 | + | 0.863569i | \(0.331776\pi\) | |||||||
\(504\) | 0.543876 | + | 0.176716i | 0.0242262 | + | 0.00787156i | ||||
\(505\) | −0.186436 | − | 1.02329i | −0.00829627 | − | 0.0455357i | ||||
\(506\) | 14.9748 | − | 3.02678i | 0.665710 | − | 0.134557i | ||||
\(507\) | −3.39620 | − | 3.39620i | −0.150831 | − | 0.150831i | ||||
\(508\) | 6.62623 | − | 3.37623i | 0.293991 | − | 0.149796i | ||||
\(509\) | −3.52356 | − | 4.84976i | −0.156179 | − | 0.214962i | 0.723756 | − | 0.690056i | \(-0.242414\pi\) |
−0.879935 | + | 0.475094i | \(0.842414\pi\) | |||||||
\(510\) | −7.19775 | − | 20.5241i | −0.318722 | − | 0.908824i | ||||
\(511\) | 4.07647 | + | 12.5461i | 0.180332 | + | 0.555006i | ||||
\(512\) | 0.891007 | + | 0.453990i | 0.0393773 | + | 0.0200637i | ||||
\(513\) | 3.25825 | + | 20.5718i | 0.143855 | + | 0.908265i | ||||
\(514\) | 12.6916 | − | 9.22097i | 0.559801 | − | 0.406720i | ||||
\(515\) | −2.21388 | − | 2.90344i | −0.0975554 | − | 0.127941i | ||||
\(516\) | − | 9.11229i | − | 0.401146i | ||||||
\(517\) | −34.0757 | + | 12.6909i | −1.49865 | + | 0.558145i | ||||
\(518\) | −0.272375 | + | 0.272375i | −0.0119675 | + | 0.0119675i | ||||
\(519\) | 9.97184 | − | 30.6902i | 0.437715 | − | 1.34715i | ||||
\(520\) | 5.09325 | + | 4.86286i | 0.223354 | + | 0.213250i | ||||
\(521\) | 11.8358 | + | 8.59924i | 0.518537 | + | 0.376740i | 0.816053 | − | 0.577978i | \(-0.196158\pi\) |
−0.297515 | + | 0.954717i | \(0.596158\pi\) | |||||||
\(522\) | −0.271757 | + | 0.533352i | −0.0118945 | + | 0.0233442i | ||||
\(523\) | 14.8465 | − | 29.1380i | 0.649194 | − | 1.27411i | −0.298341 | − | 0.954459i | \(-0.596433\pi\) |
0.947534 | − | 0.319655i | \(-0.103567\pi\) | |||||||
\(524\) | −7.61776 | − | 5.53462i | −0.332783 | − | 0.241781i | ||||
\(525\) | −6.50833 | − | 4.28311i | −0.284047 | − | 0.186930i | ||||
\(526\) | −3.40823 | + | 10.4895i | −0.148606 | + | 0.457362i | ||||
\(527\) | −16.5670 | + | 16.5670i | −0.721668 | + | 0.721668i | ||||
\(528\) | −4.04871 | + | 3.21207i | −0.176198 | + | 0.139788i | ||||
\(529\) | 1.78136i | 0.0774505i | ||||||||
\(530\) | −24.1092 | − | 3.24872i | −1.04724 | − | 0.141115i | ||||
\(531\) | 1.89209 | − | 1.37468i | 0.0821097 | − | 0.0596562i | ||||
\(532\) | 0.585400 | + | 3.69607i | 0.0253803 | + | 0.160245i | ||||
\(533\) | −33.7928 | − | 17.2183i | −1.46373 | − | 0.745807i | ||||
\(534\) | 3.96089 | + | 12.1904i | 0.171404 | + | 0.527528i | ||||
\(535\) | −16.6334 | + | 5.83328i | −0.719124 | + | 0.252195i | ||||
\(536\) | 3.07025 | + | 4.22584i | 0.132615 | + | 0.182528i | ||||
\(537\) | 14.3219 | − | 7.29740i | 0.618038 | − | 0.314906i | ||||
\(538\) | 2.46854 | + | 2.46854i | 0.106426 | + | 0.106426i | ||||
\(539\) | −2.24379 | + | 2.44241i | −0.0966471 | + | 0.105202i | ||||
\(540\) | −7.08046 | + | 10.2353i | −0.304694 | + | 0.440455i | ||||
\(541\) | 24.7146 | + | 8.03025i | 1.06256 | + | 0.345248i | 0.787587 | − | 0.616204i | \(-0.211330\pi\) |
0.274976 | + | 0.961451i | \(0.411330\pi\) | |||||||
\(542\) | 13.5353 | + | 2.14377i | 0.581389 | + | 0.0920830i | ||||
\(543\) | 20.9070 | − | 3.31134i | 0.897205 | − | 0.142103i | ||||
\(544\) | −5.93659 | + | 1.92892i | −0.254529 | + | 0.0827016i | ||||
\(545\) | 10.2650 | + | 19.0437i | 0.439703 | + | 0.815743i | ||||
\(546\) | −2.88444 | + | 3.97009i | −0.123442 | + | 0.169904i | ||||
\(547\) | −1.44538 | + | 9.12574i | −0.0617998 | + | 0.390188i | 0.937329 | + | 0.348447i | \(0.113291\pi\) |
−0.999128 | + | 0.0417419i | \(0.986709\pi\) | |||||||
\(548\) | 8.75411 | + | 17.1809i | 0.373957 | + | 0.733932i | ||||
\(549\) | −8.84406 | −0.377455 | ||||||||
\(550\) | −15.2560 | + | 6.50037i | −0.650517 | + | 0.277177i | ||||
\(551\) | −3.91705 | −0.166872 | ||||||||
\(552\) | 3.25868 | + | 6.39552i | 0.138699 | + | 0.272212i | ||||
\(553\) | 1.55581 | − | 9.82303i | 0.0661600 | − | 0.417718i | ||||
\(554\) | −6.79923 | + | 9.35833i | −0.288871 | + | 0.397597i | ||||
\(555\) | −0.636830 | − | 1.18146i | −0.0270319 | − | 0.0501500i | ||||
\(556\) | 15.2150 | − | 4.94365i | 0.645260 | − | 0.209658i | ||||
\(557\) | −37.2115 | + | 5.89372i | −1.57670 | + | 0.249725i | −0.882590 | − | 0.470143i | \(-0.844202\pi\) |
−0.694111 | + | 0.719868i | \(0.744202\pi\) | |||||||
\(558\) | 2.12002 | + | 0.335779i | 0.0897477 | + | 0.0142146i | ||||
\(559\) | −17.5147 | − | 5.69088i | −0.740794 | − | 0.240699i | ||||
\(560\) | −1.27213 | + | 1.83894i | −0.0537571 | + | 0.0777094i | ||||
\(561\) | 3.69279 | − | 32.0479i | 0.155910 | − | 1.35306i | ||||
\(562\) | −5.13308 | − | 5.13308i | −0.216526 | − | 0.216526i | ||||
\(563\) | −15.3106 | + | 7.80112i | −0.645263 | + | 0.328778i | −0.745814 | − | 0.666154i | \(-0.767939\pi\) |
0.100551 | + | 0.994932i | \(0.467939\pi\) | |||||||
\(564\) | −10.0417 | − | 13.8213i | −0.422834 | − | 0.581981i | ||||
\(565\) | −6.10809 | + | 2.14209i | −0.256969 | + | 0.0901184i | ||||
\(566\) | −6.96121 | − | 21.4244i | −0.292601 | − | 0.900534i | ||||
\(567\) | −6.19907 | − | 3.15858i | −0.260336 | − | 0.132648i | ||||
\(568\) | −0.708934 | − | 4.47604i | −0.0297462 | − | 0.187810i | ||||
\(569\) | −10.5608 | + | 7.67287i | −0.442732 | + | 0.321664i | −0.786720 | − | 0.617311i | \(-0.788222\pi\) |
0.343988 | + | 0.938974i | \(0.388222\pi\) | |||||||
\(570\) | −12.9221 | − | 1.74126i | −0.541248 | − | 0.0729331i | ||||
\(571\) | − | 24.7187i | − | 1.03445i | −0.855851 | − | 0.517223i | \(-0.826966\pi\) | ||
0.855851 | − | 0.517223i | \(-0.173034\pi\) | |||||||
\(572\) | 3.64539 | + | 9.78806i | 0.152421 | + | 0.409259i | ||||
\(573\) | 3.23627 | − | 3.23627i | 0.135197 | − | 0.135197i | ||||
\(574\) | 3.72152 | − | 11.4536i | 0.155333 | − | 0.478066i | ||||
\(575\) | 4.65137 | + | 22.5573i | 0.193976 | + | 0.940703i | ||||
\(576\) | 0.462649 | + | 0.336134i | 0.0192770 | + | 0.0140056i | ||||
\(577\) | −7.10391 | + | 13.9422i | −0.295740 | + | 0.580422i | −0.990289 | − | 0.139023i | \(-0.955604\pi\) |
0.694550 | + | 0.719445i | \(0.255604\pi\) | |||||||
\(578\) | 9.97139 | − | 19.5699i | 0.414755 | − | 0.814003i | ||||
\(579\) | 15.8902 | + | 11.5449i | 0.660375 | + | 0.479791i | ||||
\(580\) | −1.69289 | − | 1.61631i | −0.0702934 | − | 0.0671137i | ||||
\(581\) | 4.99796 | − | 15.3821i | 0.207350 | − | 0.638158i | ||||
\(582\) | −13.1550 | + | 13.1550i | −0.545294 | + | 0.545294i | ||||
\(583\) | −30.0637 | − | 19.9539i | −1.24511 | − | 0.826405i | ||||
\(584\) | 13.1917i | 0.545877i | ||||||||
\(585\) | 2.44176 | + | 3.20230i | 0.100955 | + | 0.132399i | ||||
\(586\) | 16.1684 | − | 11.7470i | 0.667911 | − | 0.485266i | ||||
\(587\) | −4.76982 | − | 30.1155i | −0.196872 | − | 1.24300i | −0.866073 | − | 0.499917i | \(-0.833364\pi\) |
0.669202 | − | 0.743081i | \(-0.266636\pi\) | |||||||
\(588\) | −1.38841 | − | 0.707429i | −0.0572570 | − | 0.0291739i | ||||
\(589\) | 4.34039 | + | 13.3584i | 0.178843 | + | 0.550422i | ||||
\(590\) | 3.02636 | + | 8.62954i | 0.124593 | + | 0.355273i | ||||
\(591\) | 12.3856 | + | 17.0474i | 0.509477 | + | 0.701235i | ||||
\(592\) | −0.343213 | + | 0.174876i | −0.0141060 | + | 0.00718734i | ||||
\(593\) | 14.4069 | + | 14.4069i | 0.591619 | + | 0.591619i | 0.938069 | − | 0.346450i | \(-0.112613\pi\) |
−0.346450 | + | 0.938069i | \(0.612613\pi\) | |||||||
\(594\) | −16.0782 | + | 9.06957i | −0.659696 | + | 0.372129i | ||||
\(595\) | −2.50182 | − | 13.7317i | −0.102565 | − | 0.562946i | ||||
\(596\) | 9.12026 | + | 2.96335i | 0.373581 | + | 0.121384i | ||||
\(597\) | −20.3211 | − | 3.21854i | −0.831686 | − | 0.131726i | ||||
\(598\) | 14.3280 | − | 2.26933i | 0.585914 | − | 0.0927997i | ||||
\(599\) | 21.1257 | − | 6.86414i | 0.863171 | − | 0.280461i | 0.156219 | − | 0.987723i | \(-0.450070\pi\) |
0.706952 | + | 0.707261i | \(0.250070\pi\) | |||||||
\(600\) | −4.86624 | − | 6.08466i | −0.198663 | − | 0.248405i | ||||
\(601\) | −0.767173 | + | 1.05592i | −0.0312936 | + | 0.0430720i | −0.824377 | − | 0.566041i | \(-0.808474\pi\) |
0.793083 | + | 0.609113i | \(0.208474\pi\) | |||||||
\(602\) | 0.914795 | − | 5.77579i | 0.0372842 | − | 0.235403i | ||||
\(603\) | 1.35611 | + | 2.66152i | 0.0552252 | + | 0.108386i | ||||
\(604\) | 21.3597 | 0.869115 | ||||||||
\(605\) | −24.5670 | − | 1.21032i | −0.998789 | − | 0.0492063i | ||||
\(606\) | 0.724836 | 0.0294444 | ||||||||
\(607\) | −3.98317 | − | 7.81742i | −0.161672 | − | 0.317299i | 0.795932 | − | 0.605385i | \(-0.206981\pi\) |
−0.957604 | + | 0.288086i | \(0.906981\pi\) | |||||||
\(608\) | −0.585400 | + | 3.69607i | −0.0237411 | + | 0.149895i | ||||
\(609\) | 0.958726 | − | 1.31957i | 0.0388495 | − | 0.0534718i | ||||
\(610\) | 9.92253 | − | 33.1273i | 0.401751 | − | 1.34129i | ||||
\(611\) | −32.8372 | + | 10.6695i | −1.32845 | + | 0.431640i | ||||
\(612\) | −3.52569 | + | 0.558415i | −0.142518 | + | 0.0225726i | ||||
\(613\) | 23.6104 | + | 3.73952i | 0.953614 | + | 0.151038i | 0.613806 | − | 0.789457i | \(-0.289638\pi\) |
0.339808 | + | 0.940495i | \(0.389638\pi\) | |||||||
\(614\) | −24.7036 | − | 8.02667i | −0.996954 | − | 0.323930i | ||||
\(615\) | 34.5097 | + | 23.8728i | 1.39157 | + | 0.962645i | ||||
\(616\) | −2.88872 | + | 1.62950i | −0.116390 | + | 0.0656545i | ||||
\(617\) | −12.7186 | − | 12.7186i | −0.512032 | − | 0.512032i | 0.403117 | − | 0.915149i | \(-0.367927\pi\) |
−0.915149 | + | 0.403117i | \(0.867927\pi\) | |||||||
\(618\) | 2.26709 | − | 1.15514i | 0.0911955 | − | 0.0464664i | ||||
\(619\) | 25.0454 | + | 34.4720i | 1.00666 | + | 1.38555i | 0.921149 | + | 0.389211i | \(0.127252\pi\) |
0.0855112 | + | 0.996337i | \(0.472748\pi\) | |||||||
\(620\) | −3.63627 | + | 7.56427i | −0.146036 | + | 0.303789i | ||||
\(621\) | 7.92269 | + | 24.3835i | 0.317927 | + | 0.978477i | ||||
\(622\) | −11.8340 | − | 6.02973i | −0.474501 | − | 0.241770i | ||||
\(623\) | 1.28679 | + | 8.12445i | 0.0515540 | + | 0.325499i | ||||
\(624\) | −3.97009 | + | 2.88444i | −0.158931 | + | 0.115470i | ||||
\(625\) | −9.88964 | − | 22.9607i | −0.395586 | − | 0.918429i | ||||
\(626\) | 23.9262i | 0.956284i | ||||||||
\(627\) | −16.1136 | − | 10.6949i | −0.643515 | − | 0.427114i | ||||
\(628\) | −11.2480 | + | 11.2480i | −0.448845 | + | 0.448845i | ||||
\(629\) | 0.743012 | − | 2.28676i | 0.0296258 | − | 0.0911789i | ||||
\(630\) | −0.883038 | + | 0.924874i | −0.0351811 | + | 0.0368479i | ||||
\(631\) | 39.9134 | + | 28.9987i | 1.58893 | + | 1.15442i | 0.905454 | + | 0.424445i | \(0.139531\pi\) |
0.683472 | + | 0.729977i | \(0.260469\pi\) | |||||||
\(632\) | 4.51515 | − | 8.86148i | 0.179603 | − | 0.352491i | ||||
\(633\) | 7.36471 | − | 14.4541i | 0.292721 | − | 0.574498i | ||||
\(634\) | 8.65791 | + | 6.29034i | 0.343850 | + | 0.249821i | ||||
\(635\) | 0.384707 | + | 16.6247i | 0.0152666 | + | 0.659732i | ||||
\(636\) | 5.23872 | − | 16.1231i | 0.207729 | − | 0.639323i | ||||
\(637\) | −2.22685 | + | 2.22685i | −0.0882310 | + | 0.0882310i | ||||
\(638\) | −1.21165 | − | 3.25334i | −0.0479697 | − | 0.128801i | ||||
\(639\) | − | 2.59160i | − | 0.102522i | ||||||
\(640\) | −1.77813 | + | 1.35583i | −0.0702866 | + | 0.0535938i | ||||
\(641\) | 4.77240 | − | 3.46735i | 0.188499 | − | 0.136952i | −0.489534 | − | 0.871984i | \(-0.662833\pi\) |
0.678032 | + | 0.735032i | \(0.262833\pi\) | |||||||
\(642\) | −1.92155 | − | 12.1322i | −0.0758376 | − | 0.478820i | ||||
\(643\) | −20.9760 | − | 10.6878i | −0.827213 | − | 0.421486i | −0.0114934 | − | 0.999934i | \(-0.503659\pi\) |
−0.815719 | + | 0.578448i | \(0.803659\pi\) | |||||||
\(644\) | 1.42345 | + | 4.38092i | 0.0560916 | + | 0.172632i | ||||
\(645\) | 18.3640 | + | 8.82790i | 0.723083 | + | 0.347598i | ||||
\(646\) | −13.7300 | − | 18.8977i | −0.540199 | − | 0.743520i | ||||
\(647\) | 30.6689 | − | 15.6266i | 1.20572 | − | 0.614344i | 0.268565 | − | 0.963262i | \(-0.413451\pi\) |
0.937154 | + | 0.348917i | \(0.113451\pi\) | |||||||
\(648\) | −4.91961 | − | 4.91961i | −0.193260 | − | 0.193260i | ||||
\(649\) | −1.55266 | + | 13.4748i | −0.0609474 | + | 0.528932i | ||||
\(650\) | −14.7344 | + | 5.55335i | −0.577932 | + | 0.217820i | ||||
\(651\) | −5.56250 | − | 1.80736i | −0.218011 | − | 0.0708362i | ||||
\(652\) | −24.9218 | − | 3.94723i | −0.976014 | − | 0.154585i | ||||
\(653\) | −42.2928 | + | 6.69852i | −1.65504 | + | 0.262133i | −0.912923 | − | 0.408132i | \(-0.866180\pi\) |
−0.742121 | + | 0.670265i | \(0.766180\pi\) | |||||||
\(654\) | −14.3382 | + | 4.65877i | −0.560669 | + | 0.182172i | ||||
\(655\) | 18.5339 | − | 9.99020i | 0.724181 | − | 0.390349i | ||||
\(656\) | 7.07874 | − | 9.74306i | 0.276379 | − | 0.380402i | ||||
\(657\) | −1.18012 | + | 7.45101i | −0.0460410 | + | 0.290692i | ||||
\(658\) | −4.97738 | − | 9.76866i | −0.194039 | − | 0.380822i | ||||
\(659\) | 8.64171 | 0.336633 | 0.168317 | − | 0.985733i | \(-0.446167\pi\) | ||||
0.168317 | + | 0.985733i | \(0.446167\pi\) | |||||||
\(660\) | −2.55095 | − | 11.2712i | −0.0992955 | − | 0.438731i | ||||
\(661\) | 11.9657 | 0.465414 | 0.232707 | − | 0.972547i | \(-0.425242\pi\) | ||||
0.232707 | + | 0.972547i | \(0.425242\pi\) | |||||||
\(662\) | 5.30422 | + | 10.4101i | 0.206154 | + | 0.404601i | ||||
\(663\) | 4.79188 | − | 30.2547i | 0.186101 | − | 1.17500i | ||||
\(664\) | 9.50668 | − | 13.0848i | 0.368931 | − | 0.507789i | ||||
\(665\) | −8.01582 | − | 2.40096i | −0.310840 | − | 0.0931051i | ||||
\(666\) | −0.209499 | + | 0.0680704i | −0.00811793 | + | 0.00263768i | ||||
\(667\) | −4.76232 | + | 0.754277i | −0.184398 | + | 0.0292057i | ||||
\(668\) | −5.13386 | − | 0.813123i | −0.198635 | − | 0.0314607i | ||||
\(669\) | −4.74776 | − | 1.54264i | −0.183559 | − | 0.0596419i | ||||
\(670\) | −11.4908 | + | 2.09354i | −0.443927 | + | 0.0808804i | ||||
\(671\) | 34.7009 | − | 37.7726i | 1.33961 | − | 1.45820i | ||||
\(672\) | −1.10185 | − | 1.10185i | −0.0425047 | − | 0.0425047i | ||||
\(673\) | −14.1997 | + | 7.23511i | −0.547359 | + | 0.278893i | −0.705723 | − | 0.708488i | \(-0.749378\pi\) |
0.158365 | + | 0.987381i | \(0.449378\pi\) | |||||||
\(674\) | −0.350457 | − | 0.482363i | −0.0134991 | − | 0.0185799i | ||||
\(675\) | −13.7677 | − | 24.1851i | −0.529918 | − | 0.930884i | ||||
\(676\) | −0.952477 | − | 2.93142i | −0.0366337 | − | 0.112747i | ||||
\(677\) | 10.0445 | + | 5.11793i | 0.386042 | + | 0.196698i | 0.636230 | − | 0.771499i | \(-0.280493\pi\) |
−0.250189 | + | 0.968197i | \(0.580493\pi\) | |||||||
\(678\) | −0.705630 | − | 4.45517i | −0.0270996 | − | 0.171100i | ||||
\(679\) | −9.65892 | + | 7.01762i | −0.370675 | + | 0.269311i | ||||
\(680\) | 1.86396 | − | 13.8328i | 0.0714797 | − | 0.530462i | ||||
\(681\) | − | 9.16765i | − | 0.351305i | ||||||
\(682\) | −9.75231 | + | 7.73706i | −0.373435 | + | 0.296267i | ||||
\(683\) | −0.201084 | + | 0.201084i | −0.00769428 | + | 0.00769428i | −0.710943 | − | 0.703249i | \(-0.751732\pi\) |
0.703249 | + | 0.710943i | \(0.251732\pi\) | |||||||
\(684\) | −0.661296 | + | 2.03526i | −0.0252853 | + | 0.0778201i | ||||
\(685\) | −43.1056 | + | 0.997492i | −1.64698 | + | 0.0381122i | ||||
\(686\) | −0.809017 | − | 0.587785i | −0.0308884 | − | 0.0224417i | ||||
\(687\) | −14.7259 | + | 28.9012i | −0.561827 | + | 1.10265i | ||||
\(688\) | 2.65484 | − | 5.21041i | 0.101215 | − | 0.198645i | ||||
\(689\) | −27.7185 | − | 20.1387i | −1.05599 | − | 0.767222i | ||||
\(690\) | −16.0459 | + | 0.371312i | −0.610857 | + | 0.0141356i | ||||
\(691\) | 5.50031 | − | 16.9282i | 0.209242 | − | 0.643980i | −0.790271 | − | 0.612758i | \(-0.790060\pi\) |
0.999512 | − | 0.0312220i | \(-0.00993990\pi\) | |||||||
\(692\) | 14.6434 | − | 14.6434i | 0.556658 | − | 0.556658i | ||||
\(693\) | −1.77740 | + | 0.661960i | −0.0675177 | + | 0.0251458i | ||||
\(694\) | − | 12.7173i | − | 0.482741i | ||||||
\(695\) | −4.77718 | + | 35.4522i | −0.181209 | + | 1.34478i | ||||
\(696\) | 1.31957 | − | 0.958726i | 0.0500183 | − | 0.0363404i | ||||
\(697\) | 11.7598 | + | 74.2486i | 0.445435 | + | 2.81237i | ||||
\(698\) | −5.53012 | − | 2.81774i | −0.209318 | − | 0.106653i | ||||
\(699\) | −1.71125 | − | 5.26670i | −0.0647256 | − | 0.199205i | ||||
\(700\) | −2.47360 | − | 4.34526i | −0.0934932 | − | 0.164236i | ||||
\(701\) | −6.13984 | − | 8.45076i | −0.231898 | − | 0.319181i | 0.677171 | − | 0.735826i | \(-0.263206\pi\) |
−0.909069 | + | 0.416645i | \(0.863206\pi\) | |||||||
\(702\) | −15.6177 | + | 7.95764i | −0.589454 | + | 0.300342i | ||||
\(703\) | −1.01927 | − | 1.01927i | −0.0384423 | − | 0.0384423i | ||||
\(704\) | −3.25088 | + | 0.657085i | −0.122522 | + | 0.0247648i | ||||
\(705\) | 37.5824 | − | 6.84724i | 1.41544 | − | 0.257882i | ||||
\(706\) | 6.42549 | + | 2.08777i | 0.241826 | + | 0.0785742i | ||||
\(707\) | 0.459434 | + | 0.0727672i | 0.0172788 | + | 0.00273669i | ||||
\(708\) | −6.29429 | + | 0.996917i | −0.236554 | + | 0.0374665i | ||||
\(709\) | 8.50739 | − | 2.76422i | 0.319502 | − | 0.103812i | −0.144875 | − | 0.989450i | \(-0.546278\pi\) |
0.464377 | + | 0.885637i | \(0.346278\pi\) | |||||||
\(710\) | 9.70738 | + | 2.90762i | 0.364311 | + | 0.109121i | ||||
\(711\) | 3.34301 | − | 4.60126i | 0.125373 | − | 0.172561i | ||||
\(712\) | −1.28679 | + | 8.12445i | −0.0482243 | + | 0.304476i | ||||
\(713\) | 7.84933 | + | 15.4052i | 0.293960 | + | 0.576928i | ||||
\(714\) | 9.72674 | 0.364014 | ||||||||
\(715\) | −23.2575 | − | 2.13601i | −0.869782 | − | 0.0798821i | ||||
\(716\) | 10.3154 | 0.385503 | ||||||||
\(717\) | 0.862082 | + | 1.69193i | 0.0321951 | + | 0.0631863i | ||||
\(718\) | −1.69451 | + | 10.6987i | −0.0632386 | + | 0.399273i | ||||
\(719\) | 11.6104 | − | 15.9803i | 0.432995 | − | 0.595966i | −0.535643 | − | 0.844445i | \(-0.679931\pi\) |
0.968637 | + | 0.248478i | \(0.0799305\pi\) | |||||||
\(720\) | −1.12562 | + | 0.606734i | −0.0419494 | + | 0.0226116i | ||||
\(721\) | 1.55295 | − | 0.504583i | 0.0578348 | − | 0.0187917i | ||||
\(722\) | 4.93488 | − | 0.781608i | 0.183657 | − | 0.0290884i | ||||
\(723\) | −11.6586 | − | 1.84654i | −0.433589 | − | 0.0686737i | ||||
\(724\) | 12.9194 | + | 4.19776i | 0.480145 | + | 0.156009i | ||||
\(725\) | 4.89741 | − | 1.84582i | 0.181885 | − | 0.0685520i | ||||
\(726\) | 3.89839 | − | 16.6915i | 0.144683 | − | 0.619480i | ||||
\(727\) | 16.4654 | + | 16.4654i | 0.610669 | + | 0.610669i | 0.943121 | − | 0.332451i | \(-0.107876\pi\) |
−0.332451 | + | 0.943121i | \(0.607876\pi\) | |||||||
\(728\) | −2.80599 | + | 1.42973i | −0.103997 | + | 0.0529892i | ||||
\(729\) | −17.6321 | − | 24.2686i | −0.653042 | − | 0.898836i | ||||
\(730\) | −26.5853 | − | 12.7800i | −0.983967 | − | 0.473009i | ||||
\(731\) | 11.2799 | + | 34.7159i | 0.417201 | + | 1.28401i | ||||
\(732\) | 21.4721 | + | 10.9406i | 0.793633 | + | 0.404376i | ||||
\(733\) | 2.17926 | + | 13.7593i | 0.0804928 | + | 0.508212i | 0.994688 | + | 0.102937i | \(0.0328241\pi\) |
−0.914195 | + | 0.405275i | \(0.867176\pi\) | |||||||
\(734\) | −20.5172 | + | 14.9066i | −0.757305 | + | 0.550214i | ||||
\(735\) | 2.77076 | − | 2.11271i | 0.102201 | − | 0.0779286i | ||||
\(736\) | 4.60637i | 0.169793i | ||||||||
\(737\) | −16.6882 | − | 4.65095i | −0.614716 | − | 0.171320i | ||||
\(738\) | 4.86986 | − | 4.86986i | 0.179262 | − | 0.179262i | ||||
\(739\) | −3.30315 | + | 10.1661i | −0.121508 | + | 0.373964i | −0.993249 | − | 0.116004i | \(-0.962992\pi\) |
0.871740 | + | 0.489968i | \(0.162992\pi\) | |||||||
\(740\) | −0.0199263 | − | 0.861095i | −0.000732505 | − | 0.0316545i | ||||
\(741\) | −14.8566 | − | 10.7940i | −0.545771 | − | 0.396526i | ||||
\(742\) | 4.93916 | − | 9.69364i | 0.181322 | − | 0.355865i | ||||
\(743\) | −3.98216 | + | 7.81543i | −0.146091 | + | 0.286720i | −0.952443 | − | 0.304715i | \(-0.901439\pi\) |
0.806352 | + | 0.591436i | \(0.201439\pi\) | |||||||
\(744\) | −4.73174 | − | 3.43781i | −0.173474 | − | 0.126036i | ||||
\(745\) | −14.8077 | + | 15.5092i | −0.542511 | + | 0.568214i | ||||
\(746\) | 6.23656 | − | 19.1942i | 0.228337 | − | 0.702748i | ||||
\(747\) | 6.54016 | − | 6.54016i | 0.239292 | − | 0.239292i | ||||
\(748\) | 11.4486 | − | 17.2491i | 0.418602 | − | 0.630690i | ||||
\(749\) | − | 7.88285i | − | 0.288033i | ||||||
\(750\) | 16.9768 | − | 3.91219i | 0.619905 | − | 0.142853i | ||||
\(751\) | −1.81677 | + | 1.31996i | −0.0662948 | + | 0.0481660i | −0.620439 | − | 0.784255i | \(-0.713046\pi\) |
0.554144 | + | 0.832421i | \(0.313046\pi\) | |||||||
\(752\) | −1.71509 | − | 10.8286i | −0.0625428 | − | 0.394880i | ||||
\(753\) | −16.4446 | − | 8.37894i | −0.599275 | − | 0.305346i | ||||
\(754\) | −1.01866 | − | 3.13510i | −0.0370973 | − | 0.114174i | ||||
\(755\) | −20.6931 | + | 43.0463i | −0.753099 | + | 1.56662i | ||||
\(756\) | −3.27152 | − | 4.50287i | −0.118984 | − | 0.163768i | ||||
\(757\) | 15.3998 | − | 7.84657i | 0.559714 | − | 0.285189i | −0.151158 | − | 0.988510i | \(-0.548300\pi\) |
0.710872 | + | 0.703321i | \(0.248300\pi\) | |||||||
\(758\) | −15.5743 | − | 15.5743i | −0.565683 | − | 0.565683i | ||||
\(759\) | −21.6502 | − | 9.89991i | −0.785852 | − | 0.359344i | ||||
\(760\) | −6.88157 | − | 4.76047i | −0.249621 | − | 0.172680i | ||||
\(761\) | −10.1652 | − | 3.30286i | −0.368487 | − | 0.119729i | 0.118920 | − | 0.992904i | \(-0.462057\pi\) |
−0.487406 | + | 0.873175i | \(0.662057\pi\) | |||||||
\(762\) | −11.4457 | − | 1.81282i | −0.414634 | − | 0.0656715i | ||||
\(763\) | −9.55593 | + | 1.51351i | −0.345948 | + | 0.0547927i | ||||
\(764\) | 2.79338 | − | 0.907624i | 0.101061 | − | 0.0328367i | ||||
\(765\) | 2.29028 | − | 7.64633i | 0.0828053 | − | 0.276454i | ||||
\(766\) | −2.24951 | + | 3.09618i | −0.0812781 | + | 0.111870i | ||||
\(767\) | −2.01478 | + | 12.7209i | −0.0727497 | + | 0.459323i | ||||
\(768\) | −0.707429 | − | 1.38841i | −0.0255272 | − | 0.0500999i | ||||
\(769\) | −38.4350 | −1.38600 | −0.693001 | − | 0.720937i | \(-0.743712\pi\) | ||||
−0.693001 | + | 0.720937i | \(0.743712\pi\) | |||||||
\(770\) | −0.485377 | − | 7.40030i | −0.0174918 | − | 0.266688i | ||||
\(771\) | −24.4452 | −0.880374 | ||||||||
\(772\) | 5.72246 | + | 11.2310i | 0.205956 | + | 0.404211i | ||||
\(773\) | 4.21735 | − | 26.6273i | 0.151687 | − | 0.957716i | −0.787998 | − | 0.615677i | \(-0.788882\pi\) |
0.939686 | − | 0.342039i | \(-0.111118\pi\) | |||||||
\(774\) | 1.96564 | − | 2.70547i | 0.0706534 | − | 0.0972461i | ||||
\(775\) | −11.7215 | − | 14.6564i | −0.421049 | − | 0.526473i | ||||
\(776\) | −11.3547 | + | 3.68938i | −0.407612 | + | 0.132441i | ||||
\(777\) | 0.592842 | − | 0.0938969i | 0.0212681 | − | 0.00336853i | ||||
\(778\) | −22.6535 | − | 3.58796i | −0.812166 | − | 0.128634i | ||||
\(779\) | 42.8611 | + | 13.9264i | 1.53566 | + | 0.498966i | ||||
\(780\) | −1.96683 | − | 10.7953i | −0.0704239 | − | 0.386535i | ||||
\(781\) | 11.0686 | + | 10.1685i | 0.396066 | + | 0.363857i | ||||
\(782\) | −20.3318 | − | 20.3318i | −0.727062 | − | 0.727062i | ||||
\(783\) | 5.19101 | − | 2.64495i | 0.185512 | − | 0.0945229i | ||||
\(784\) | −0.587785 | − | 0.809017i | −0.0209923 | − | 0.0288935i | ||||
\(785\) | −11.7712 | − | 33.5652i | −0.420132 | − | 1.19799i | ||||
\(786\) | 4.53407 | + | 13.9544i | 0.161725 | + | 0.497738i | ||||
\(787\) | −7.46269 | − | 3.80243i | −0.266016 | − | 0.135542i | 0.315896 | − | 0.948794i | \(-0.397695\pi\) |
−0.581912 | + | 0.813252i | \(0.697695\pi\) | |||||||
\(788\) | 2.11542 | + | 13.3562i | 0.0753585 | + | 0.475795i | ||||
\(789\) | 13.9040 | − | 10.1019i | 0.494997 | − | 0.359636i | ||||
\(790\) | 13.4843 | + | 17.6843i | 0.479751 | + | 0.629179i | ||||
\(791\) | − | 2.89473i | − | 0.102925i | ||||||
\(792\) | −1.89496 | + | 0.0803157i | −0.0673345 | + | 0.00285389i | ||||
\(793\) | 34.4389 | − | 34.4389i | 1.22296 | − | 1.22296i | ||||
\(794\) | 3.93026 | − | 12.0961i | 0.139480 | − | 0.429275i | ||||
\(795\) | 27.4177 | + | 26.1775i | 0.972407 | + | 0.928420i | ||||
\(796\) | −10.6819 | − | 7.76084i | −0.378609 | − | 0.275076i | ||||
\(797\) | 12.9567 | − | 25.4289i | 0.458948 | − | 0.900736i | −0.539331 | − | 0.842094i | \(-0.681323\pi\) |
0.998279 | − | 0.0586425i | \(-0.0186772\pi\) | |||||||
\(798\) | 2.64730 | − | 5.19562i | 0.0937134 | − | 0.183923i | ||||
\(799\) | 55.3660 | + | 40.2257i | 1.95871 | + | 1.42308i | ||||
\(800\) | −1.00977 | − | 4.89698i | −0.0357008 | − | 0.173134i | ||||
\(801\) | −1.45362 | + | 4.47377i | −0.0513610 | + | 0.158073i | ||||
\(802\) | 10.3036 | − | 10.3036i | 0.363832 | − | 0.363832i | ||||
\(803\) | −27.1926 | − | 34.2754i | −0.959605 | − | 1.20955i | ||||
\(804\) | − | 8.13939i | − | 0.287054i | ||||||
\(805\) | −10.2079 | − | 1.37551i | −0.359781 | − | 0.0484805i | ||||
\(806\) | −9.56292 | + | 6.94787i | −0.336839 | + | 0.244728i | ||||
\(807\) | −0.850989 | − | 5.37293i | −0.0299562 | − | 0.189136i | ||||
\(808\) | 0.414462 | + | 0.211179i | 0.0145807 | + | 0.00742924i | ||||
\(809\) | −3.43554 | − | 10.5735i | −0.120787 | − | 0.371745i | 0.872323 | − | 0.488930i | \(-0.162613\pi\) |
−0.993110 | + | 0.117185i | \(0.962613\pi\) | |||||||
\(810\) | 14.6806 | − | 5.14843i | 0.515822 | − | 0.180897i | ||||
\(811\) | −7.93233 | − | 10.9179i | −0.278542 | − | 0.383380i | 0.646708 | − | 0.762737i | \(-0.276145\pi\) |
−0.925250 | + | 0.379357i | \(0.876145\pi\) | |||||||
\(812\) | 0.932654 | − | 0.475211i | 0.0327297 | − | 0.0166766i | ||||
\(813\) | −15.0997 | − | 15.0997i | −0.529569 | − | 0.529569i | ||||
\(814\) | 0.531274 | − | 1.16185i | 0.0186211 | − | 0.0407227i | ||||
\(815\) | 32.0989 | − | 46.4010i | 1.12437 | − | 1.62536i | ||||
\(816\) | 9.25068 | + | 3.00573i | 0.323839 | + | 0.105222i | ||||
\(817\) | 21.6138 | + | 3.42329i | 0.756171 | + | 0.119766i | ||||
\(818\) | −36.5386 | + | 5.78714i | −1.27754 | + | 0.202343i | ||||
\(819\) | −1.71280 | + | 0.556521i | −0.0598500 | + | 0.0194464i | ||||
\(820\) | 12.7774 | + | 23.7048i | 0.446206 | + | 0.827807i | ||||
\(821\) | 26.6504 | − | 36.6812i | 0.930107 | − | 1.28018i | −0.0297111 | − | 0.999559i | \(-0.509459\pi\) |
0.959818 | − | 0.280624i | \(-0.0905413\pi\) | |||||||
\(822\) | 4.70039 | − | 29.6771i | 0.163945 | − | 1.03511i | ||||
\(823\) | −2.24841 | − | 4.41276i | −0.0783748 | − | 0.153819i | 0.848494 | − | 0.529206i | \(-0.177510\pi\) |
−0.926868 | + | 0.375386i | \(0.877510\pi\) | |||||||
\(824\) | 1.63287 | 0.0568836 | ||||||||
\(825\) | 25.1862 | + | 5.77850i | 0.876872 | + | 0.201181i | ||||
\(826\) | −4.08969 | −0.142299 | ||||||||
\(827\) | −13.4509 | − | 26.3988i | −0.467733 | − | 0.917977i | −0.997556 | − | 0.0698694i | \(-0.977742\pi\) |
0.529823 | − | 0.848108i | \(-0.322258\pi\) | |||||||
\(828\) | −0.412083 | + | 2.60179i | −0.0143209 | + | 0.0904185i | ||||
\(829\) | −22.8013 | + | 31.3833i | −0.791922 | + | 1.08999i | 0.201944 | + | 0.979397i | \(0.435274\pi\) |
−0.993866 | + | 0.110590i | \(0.964726\pi\) | |||||||
\(830\) | 17.1599 | + | 31.8353i | 0.595629 | + | 1.10502i | ||||
\(831\) | 17.1429 | − | 5.57006i | 0.594680 | − | 0.193223i | ||||
\(832\) | −3.11047 | + | 0.492650i | −0.107836 | + | 0.0170796i | ||||
\(833\) | 6.16525 | + | 0.976480i | 0.213613 | + | 0.0338330i | ||||
\(834\) | −23.7087 | − | 7.70343i | −0.820966 | − | 0.266748i | ||||
\(835\) | 6.61232 | − | 9.55853i | 0.228829 | − | 0.330787i | ||||
\(836\) | −6.09783 | − | 10.8100i | −0.210898 | − | 0.373872i | ||||
\(837\) | −14.7721 | − | 14.7721i | −0.510600 | − | 0.510600i | ||||
\(838\) | 3.59350 | − | 1.83098i | 0.124135 | − | 0.0632501i | ||||
\(839\) | −6.33582 | − | 8.72050i | −0.218737 | − | 0.301065i | 0.685521 | − | 0.728053i | \(-0.259575\pi\) |
−0.904257 | + | 0.426988i | \(0.859575\pi\) | |||||||
\(840\) | 3.28801 | − | 1.15310i | 0.113447 | − | 0.0397856i | ||||
\(841\) | −8.62291 | − | 26.5386i | −0.297342 | − | 0.915124i | ||||
\(842\) | −6.97674 | − | 3.55483i | −0.240434 | − | 0.122507i | ||||
\(843\) | 1.76955 | + | 11.1725i | 0.0609464 | + | 0.384801i | ||||
\(844\) | 8.42229 | − | 6.11916i | 0.289907 | − | 0.210630i | ||||
\(845\) | 6.83046 | + | 0.920404i | 0.234975 | + | 0.0316628i | ||||
\(846\) | − | 6.26972i | − | 0.215557i | ||||||
\(847\) | 4.14666 | − | 10.1885i | 0.142481 | − | 0.350080i | ||||
\(848\) | 7.69292 | − | 7.69292i | 0.264176 | − | 0.264176i | ||||
\(849\) | −10.8473 | + | 33.3845i | −0.372278 | + | 1.14575i | ||||
\(850\) | 26.0714 | + | 17.1575i | 0.894241 | + | 0.588497i | ||||
\(851\) | −1.43549 | − | 1.04294i | −0.0492078 | − | 0.0357516i | ||||
\(852\) | −3.20595 | + | 6.29203i | −0.109834 | + | 0.215561i | ||||
\(853\) | −15.7954 | + | 31.0003i | −0.540826 | + | 1.06143i | 0.445292 | + | 0.895385i | \(0.353100\pi\) |
−0.986118 | + | 0.166045i | \(0.946900\pi\) | |||||||
\(854\) | 12.5117 | + | 9.09027i | 0.428141 | + | 0.311063i | ||||
\(855\) | −3.46101 | − | 3.30445i | −0.118364 | − | 0.113010i | ||||
\(856\) | 2.43593 | − | 7.49703i | 0.0832585 | − | 0.256243i | ||||
\(857\) | 13.0154 | − | 13.0154i | 0.444596 | − | 0.444596i | −0.448957 | − | 0.893553i | \(-0.648204\pi\) |
0.893553 | + | 0.448957i | \(0.148204\pi\) | |||||||
\(858\) | 4.36947 | − | 15.6782i | 0.149171 | − | 0.535244i | ||||
\(859\) | − | 24.3984i | − | 0.832461i | −0.909259 | − | 0.416231i | \(-0.863351\pi\) | ||
0.909259 | − | 0.416231i | \(-0.136649\pi\) | |||||||
\(860\) | 7.92858 | + | 10.3981i | 0.270362 | + | 0.354572i | ||||
\(861\) | −15.1821 | + | 11.0304i | −0.517404 | + | 0.375916i | ||||
\(862\) | 2.71118 | + | 17.1177i | 0.0923433 | + | 0.583033i | ||||
\(863\) | 14.3627 | + | 7.31818i | 0.488914 | + | 0.249114i | 0.681026 | − | 0.732259i | \(-0.261534\pi\) |
−0.192113 | + | 0.981373i | \(0.561534\pi\) | |||||||
\(864\) | −1.71994 | − | 5.29344i | −0.0585136 | − | 0.180086i | ||||
\(865\) | 15.3245 | + | 43.6972i | 0.521049 | + | 1.48575i | ||||
\(866\) | 17.5563 | + | 24.1642i | 0.596588 | + | 0.821133i | ||||
\(867\) | −30.4948 | + | 15.5379i | −1.03566 | + | 0.527694i | ||||
\(868\) | −2.65407 | − | 2.65407i | −0.0900849 | − | 0.0900849i | ||||
\(869\) | 6.53502 | + | 32.3316i | 0.221685 | + | 1.09677i | ||||
\(870\) | 0.653734 | + | 3.58814i | 0.0221637 | + | 0.121649i | ||||
\(871\) | −15.6447 | − | 5.08328i | −0.530101 | − | 0.172240i | ||||
\(872\) | −9.55593 | − | 1.51351i | −0.323605 | − | 0.0512539i | ||||
\(873\) | −6.74349 | + | 1.06806i | −0.228233 | + | 0.0361485i | ||||
\(874\) | −16.3940 | + | 5.32673i | −0.554535 | + | 0.180179i | ||||
\(875\) | 11.1534 | − | 0.775399i | 0.377054 | − | 0.0262133i | ||||
\(876\) | 12.0825 | − | 16.6301i | 0.408230 | − | 0.561880i | ||||
\(877\) | −1.08796 | + | 6.86911i | −0.0367378 | + | 0.231953i | −0.999224 | − | 0.0393756i | \(-0.987463\pi\) |
0.962487 | + | 0.271329i | \(0.0874631\pi\) | |||||||
\(878\) | 2.48029 | + | 4.86785i | 0.0837058 | + | 0.164282i | ||||
\(879\) | −31.1420 | −1.05039 | ||||||||
\(880\) | 1.82520 | − | 7.18809i | 0.0615274 | − | 0.242311i | ||||
\(881\) | −0.595393 | −0.0200593 | −0.0100297 | − | 0.999950i | \(-0.503193\pi\) | ||||
−0.0100297 | + | 0.999950i | \(0.503193\pi\) | |||||||
\(882\) | −0.259621 | − | 0.509536i | −0.00874191 | − | 0.0171570i | ||||
\(883\) | 0.313199 | − | 1.97746i | 0.0105400 | − | 0.0665469i | −0.981858 | − | 0.189619i | \(-0.939275\pi\) |
0.992398 | + | 0.123072i | \(0.0392747\pi\) | |||||||
\(884\) | 11.5546 | − | 15.9036i | 0.388624 | − | 0.534895i | ||||
\(885\) | 4.08875 | − | 13.6507i | 0.137442 | − | 0.458863i | ||||
\(886\) | 16.8340 | − | 5.46969i | 0.565548 | − | 0.183758i | ||||
\(887\) | −38.2525 | + | 6.05861i | −1.28439 | + | 0.203428i | −0.761050 | − | 0.648693i | \(-0.775316\pi\) |
−0.523344 | + | 0.852121i | \(0.675316\pi\) | |||||||
\(888\) | 0.592842 | + | 0.0938969i | 0.0198945 | + | 0.00315097i | ||||
\(889\) | −7.07281 | − | 2.29809i | −0.237214 | − | 0.0770756i | ||||
\(890\) | −15.1266 | − | 10.4641i | −0.507045 | − | 0.350759i | ||||
\(891\) | 22.9233 | + | 2.64139i | 0.767960 | + | 0.0884898i | ||||
\(892\) | −2.26533 | − | 2.26533i | −0.0758488 | − | 0.0758488i | ||||
\(893\) | 36.5557 | − | 18.6261i | 1.22329 | − | 0.623297i | ||||
\(894\) | −8.78327 | − | 12.0891i | −0.293756 | − | 0.404321i | ||||
\(895\) | −9.99343 | + | 20.7886i | −0.334043 | + | 0.694886i | ||||
\(896\) | −0.309017 | − | 0.951057i | −0.0103235 | − | 0.0317726i | ||||
\(897\) | −20.1410 | − | 10.2624i | −0.672490 | − | 0.342651i | ||||
\(898\) | −5.16876 | − | 32.6343i | −0.172484 | − | 1.08902i | ||||
\(899\) | 3.17851 | − | 2.30933i | 0.106009 | − | 0.0770203i | ||||
\(900\) | −0.132262 | − | 2.85627i | −0.00440875 | − | 0.0952088i | ||||
\(901\) | 67.9105i | 2.26243i | ||||||||
\(902\) | 1.69139 | + | 39.9065i | 0.0563172 | + | 1.32874i | ||||
\(903\) | −6.44336 | + | 6.44336i | −0.214422 | + | 0.214422i | ||||
\(904\) | 0.894521 | − | 2.75305i | 0.0297513 | − | 0.0915652i | ||||
\(905\) | −20.9759 | + | 21.9697i | −0.697263 | + | 0.730298i | ||||
\(906\) | −26.9271 | − | 19.5637i | −0.894594 | − | 0.649960i | ||||
\(907\) | 11.5378 | − | 22.6443i | 0.383108 | − | 0.751892i | −0.616256 | − | 0.787546i | \(-0.711351\pi\) |
0.999364 | + | 0.0356540i | \(0.0113514\pi\) | |||||||
\(908\) | 2.67097 | − | 5.24207i | 0.0886391 | − | 0.173964i | ||||
\(909\) | 0.215206 | + | 0.156356i | 0.00713794 | + | 0.00518602i | ||||
\(910\) | −0.162911 | − | 7.04003i | −0.00540044 | − | 0.233375i | ||||
\(911\) | −2.62874 | + | 8.09044i | −0.0870942 | + | 0.268048i | −0.985113 | − | 0.171909i | \(-0.945006\pi\) |
0.898019 | + | 0.439957i | \(0.145006\pi\) | |||||||
\(912\) | 4.12327 | − | 4.12327i | 0.136535 | − | 0.136535i | ||||
\(913\) | 2.27152 | + | 53.5941i | 0.0751763 | + | 1.77370i | ||||
\(914\) | 30.3299i | 1.00322i | ||||||||
\(915\) | −42.8506 | + | 32.6737i | −1.41660 | + | 1.08016i | ||||
\(916\) | −16.8405 | + | 12.2354i | −0.556427 | + | 0.404268i | ||||
\(917\) | 1.47300 | + | 9.30014i | 0.0486426 | + | 0.307118i | ||||
\(918\) | 30.9559 | + | 15.7728i | 1.02170 | + | 0.520581i | ||||
\(919\) | −18.1070 | − | 55.7277i | −0.597295 | − | 1.83829i | −0.542951 | − | 0.839764i | \(-0.682693\pi\) |
−0.0543442 | − | 0.998522i | \(-0.517307\pi\) | |||||||
\(920\) | −9.28323 | − | 4.46260i | −0.306059 | − | 0.147128i | ||||
\(921\) | 23.7908 | + | 32.7452i | 0.783932 | + | 1.07899i | ||||
\(922\) | −17.8820 | + | 9.11132i | −0.588911 | + | 0.300065i | ||||
\(923\) | 10.0917 | + | 10.0917i | 0.332172 | + | 0.332172i | ||||
\(924\) | 5.13415 | + | 0.591593i | 0.168901 | + | 0.0194620i | ||||
\(925\) | 1.75467 | + | 0.794063i | 0.0576933 | + | 0.0261086i | ||||
\(926\) | 15.8470 | + | 5.14901i | 0.520766 | + | 0.169207i | ||||
\(927\) | 0.922283 | + | 0.146075i | 0.0302917 | + | 0.00479774i | ||||
\(928\) | 1.03385 | − | 0.163746i | 0.0339379 | − | 0.00537524i | ||||
\(929\) | 52.5531 | − | 17.0755i | 1.72421 | − | 0.560230i | 0.731619 | − | 0.681714i | \(-0.238765\pi\) |
0.992593 | + | 0.121484i | \(0.0387652\pi\) | |||||||
\(930\) | 11.5123 | − | 6.20537i | 0.377503 | − | 0.203482i | ||||
\(931\) | 2.19957 | − | 3.02745i | 0.0720881 | − | 0.0992208i | ||||
\(932\) | 0.555940 | − | 3.51007i | 0.0182104 | − | 0.114976i | ||||
\(933\) | 9.39581 | + | 18.4403i | 0.307605 | + | 0.603709i | ||||
\(934\) | −10.9689 | −0.358912 | ||||||||
\(935\) | 23.6709 | + | 39.7832i | 0.774122 | + | 1.30105i | ||||
\(936\) | −1.80094 | −0.0588656 | ||||||||
\(937\) | −10.7562 | − | 21.1103i | −0.351391 | − | 0.689644i | 0.645882 | − | 0.763437i | \(-0.276490\pi\) |
−0.997274 | + | 0.0737927i | \(0.976490\pi\) | |||||||
\(938\) | 0.817124 | − | 5.15912i | 0.0266800 | − | 0.168451i | ||||
\(939\) | 21.9144 | − | 30.1626i | 0.715149 | − | 0.984318i | ||||
\(940\) | 23.4846 | + | 7.03426i | 0.765982 | + | 0.229432i | ||||
\(941\) | −14.8381 | + | 4.82118i | −0.483707 | + | 0.157166i | −0.540712 | − | 0.841208i | \(-0.681845\pi\) |
0.0570045 | + | 0.998374i | \(0.481845\pi\) | |||||||
\(942\) | 24.4820 | − | 3.87757i | 0.797668 | − | 0.126338i | ||||
\(943\) | 54.7919 | + | 8.67818i | 1.78427 | + | 0.282600i | ||||
\(944\) | −3.88953 | − | 1.26378i | −0.126593 | − | 0.0411327i | ||||
\(945\) | 12.2441 | − | 2.23078i | 0.398299 | − | 0.0725673i | ||||
\(946\) | 3.84249 | + | 19.0105i | 0.124930 | + | 0.618083i | ||||
\(947\) | 11.8411 | + | 11.8411i | 0.384785 | + | 0.384785i | 0.872823 | − | 0.488037i | \(-0.162287\pi\) |
−0.488037 | + | 0.872823i | \(0.662287\pi\) | |||||||
\(948\) | −13.8084 | + | 7.03572i | −0.448475 | + | 0.228510i | ||||
\(949\) | −24.4189 | − | 33.6097i | −0.792671 | − | 1.09102i | ||||
\(950\) | 16.2606 | − | 9.25654i | 0.527563 | − | 0.300322i | ||||
\(951\) | −5.15317 | − | 15.8598i | −0.167103 | − | 0.514290i | ||||
\(952\) | 5.56176 | + | 2.83386i | 0.180258 | + | 0.0918458i | ||||
\(953\) | −7.02477 | − | 44.3526i | −0.227554 | − | 1.43672i | −0.791631 | − | 0.611000i | \(-0.790768\pi\) |
0.564076 | − | 0.825723i | \(-0.309232\pi\) | |||||||
\(954\) | 5.03335 | − | 3.65694i | 0.162961 | − | 0.118398i | ||||
\(955\) | −0.877061 | + | 6.50881i | −0.0283810 | + | 0.210620i | ||||
\(956\) | 1.21861i | 0.0394127i | ||||||||
\(957\) | −1.45232 | + | 5.21109i | −0.0469469 | + | 0.168451i | ||||
\(958\) | 0.401034 | − | 0.401034i | 0.0129568 | − | 0.0129568i | ||||
\(959\) | 5.95865 | − | 18.3388i | 0.192415 | − | 0.592192i | ||||
\(960\) | 3.48341 | − | 0.0806084i | 0.112427 | − | 0.00260163i | ||||
\(961\) | 13.6820 | + | 9.94054i | 0.441354 | + | 0.320663i | ||||
\(962\) | 0.550725 | − | 1.08086i | 0.0177561 | − | 0.0348483i | ||||
\(963\) | 2.04656 | − | 4.01659i | 0.0659493 | − | 0.129433i | ||||
\(964\) | −6.12842 | − | 4.45256i | −0.197383 | − | 0.143407i | ||||
\(965\) | −28.1777 | + | 0.652049i | −0.907071 | + | 0.0209902i | ||||
\(966\) | 2.21808 | − | 6.82655i | 0.0713656 | − | 0.219641i | ||||
\(967\) | 31.9653 | − | 31.9653i | 1.02793 | − | 1.02793i | 0.0283362 | − | 0.999598i | \(-0.490979\pi\) |
0.999598 | − | 0.0283362i | \(-0.00902090\pi\) | |||||||
\(968\) | 7.09212 | − | 8.40843i | 0.227950 | − | 0.270257i | ||||
\(969\) | 36.3988i | 1.16930i | ||||||||
\(970\) | 3.56514 | − | 26.4575i | 0.114470 | − | 0.849499i | ||||
\(971\) | −31.9976 | + | 23.2476i | −1.02685 | + | 0.746053i | −0.967676 | − | 0.252195i | \(-0.918848\pi\) |
−0.0591768 | + | 0.998248i | \(0.518848\pi\) | |||||||
\(972\) | −0.916117 | − | 5.78414i | −0.0293845 | − | 0.185526i | ||||
\(973\) | −14.2543 | − | 7.26294i | −0.456972 | − | 0.232839i | ||||
\(974\) | 6.79028 | + | 20.8983i | 0.217575 | + | 0.669626i | ||||
\(975\) | 23.6613 | + | 6.49465i | 0.757769 | + | 0.207995i | ||||
\(976\) | 9.09027 | + | 12.5117i | 0.290972 | + | 0.400489i | ||||
\(977\) | −0.860352 | + | 0.438371i | −0.0275251 | + | 0.0140247i | −0.467699 | − | 0.883888i | \(-0.654917\pi\) |
0.440174 | + | 0.897913i | \(0.354917\pi\) | |||||||
\(978\) | 27.8023 | + | 27.8023i | 0.889020 | + | 0.889020i | ||||
\(979\) | −13.4038 | − | 23.7618i | −0.428388 | − | 0.759431i | ||||
\(980\) | 2.19985 | − | 0.400798i | 0.0702718 | − | 0.0128030i | ||||
\(981\) | −5.26203 | − | 1.70974i | −0.168004 | − | 0.0545877i | ||||
\(982\) | 19.0585 | + | 3.01857i | 0.608180 | + | 0.0963263i | ||||
\(983\) | 26.8453 | − | 4.25187i | 0.856231 | − | 0.135614i | 0.287140 | − | 0.957889i | \(-0.407295\pi\) |
0.569091 | + | 0.822275i | \(0.307295\pi\) | |||||||
\(984\) | −17.8476 | + | 5.79904i | −0.568961 | + | 0.184867i | ||||
\(985\) | −28.9662 | − | 8.67616i | −0.922940 | − | 0.276445i | ||||
\(986\) | −3.84051 | + | 5.28601i | −0.122307 | + | 0.168341i | ||||
\(987\) | −2.67253 | + | 16.8737i | −0.0850676 | + | 0.537096i | ||||
\(988\) | −5.35023 | − | 10.5004i | −0.170214 | − | 0.334063i | ||||
\(989\) | 26.9370 | 0.856548 | ||||||||
\(990\) | 1.67396 | − | 3.89673i | 0.0532019 | − | 0.123846i | ||||
\(991\) | 12.3183 | 0.391305 | 0.195652 | − | 0.980673i | \(-0.437318\pi\) | ||||
0.195652 | + | 0.980673i | \(0.437318\pi\) | |||||||
\(992\) | −1.70402 | − | 3.34432i | −0.0541026 | − | 0.106182i | ||||
\(993\) | 2.84802 | − | 17.9817i | 0.0903793 | − | 0.570632i | ||||
\(994\) | −2.66374 | + | 3.66633i | −0.0844888 | + | 0.116289i | ||||
\(995\) | 25.9889 | − | 14.0086i | 0.823905 | − | 0.444102i | ||||
\(996\) | −23.9692 | + | 7.78805i | −0.759492 | + | 0.246774i | ||||
\(997\) | −18.8509 | + | 2.98570i | −0.597015 | + | 0.0945579i | −0.447627 | − | 0.894221i | \(-0.647731\pi\) |
−0.149389 | + | 0.988779i | \(0.547731\pi\) | |||||||
\(998\) | −4.20826 | − | 0.666522i | −0.133210 | − | 0.0210984i | ||||
\(999\) | 2.03901 | + | 0.662516i | 0.0645115 | + | 0.0209611i |
(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 | 770.2.bh.b.57.2 | ✓ | 144 | |
5.3 | odd | 4 | inner | 770.2.bh.b.673.2 | yes | 144 | |
11.6 | odd | 10 | inner | 770.2.bh.b.127.2 | yes | 144 | |
55.28 | even | 20 | inner | 770.2.bh.b.743.2 | yes | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
770.2.bh.b.57.2 | ✓ | 144 | 1.1 | even | 1 | trivial | |
770.2.bh.b.127.2 | yes | 144 | 11.6 | odd | 10 | inner | |
770.2.bh.b.673.2 | yes | 144 | 5.3 | odd | 4 | inner | |
770.2.bh.b.743.2 | yes | 144 | 55.28 | even | 20 | inner |