Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [539,2,Mod(23,539)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(539, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([38, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("539.23");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 539 = 7^{2} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 539.r (of order \(21\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.30393666895\) |
Analytic rank: | \(0\) |
Dimension: | \(276\) |
Relative dimension: | \(23\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 23.2 | ||
Character | \(\chi\) | \(=\) | 539.23 |
Dual form | 539.2.r.a.375.2 |
$q$-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 \(\left(\mathbb{Z}/539\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(442\) |
\(\chi(n)\) | \(e\left(\frac{19}{21}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.194832 | + | 2.59986i | −0.137767 | + | 1.83838i | 0.317780 | + | 0.948164i | \(0.397063\pi\) |
−0.455547 | + | 0.890212i | \(0.650556\pi\) | |||||||
\(3\) | −2.33478 | + | 0.720186i | −1.34799 | + | 0.415799i | −0.882940 | − | 0.469486i | \(-0.844439\pi\) |
−0.465048 | + | 0.885285i | \(0.653963\pi\) | |||||||
\(4\) | −4.74363 | − | 0.714987i | −2.37182 | − | 0.357494i | ||||
\(5\) | 0.904184 | + | 0.838960i | 0.404363 | + | 0.375194i | 0.855972 | − | 0.517022i | \(-0.172959\pi\) |
−0.451609 | + | 0.892216i | \(0.649150\pi\) | |||||||
\(6\) | −1.41749 | − | 6.21042i | −0.578687 | − | 2.53539i | ||||
\(7\) | −0.823302 | − | 2.51439i | −0.311179 | − | 0.950351i | ||||
\(8\) | 1.62279 | − | 7.10990i | 0.573742 | − | 2.51373i | ||||
\(9\) | 2.45384 | − | 1.67300i | 0.817945 | − | 0.557665i | ||||
\(10\) | −2.35734 | + | 2.18729i | −0.745456 | + | 0.691682i | ||||
\(11\) | −0.826239 | − | 0.563320i | −0.249120 | − | 0.169847i | ||||
\(12\) | 11.5903 | − | 1.74695i | 3.34583 | − | 0.504302i | ||||
\(13\) | 1.34531 | − | 0.647865i | 0.373121 | − | 0.179685i | −0.237920 | − | 0.971285i | \(-0.576466\pi\) |
0.611040 | + | 0.791599i | \(0.290751\pi\) | |||||||
\(14\) | 6.69747 | − | 1.65058i | 1.78997 | − | 0.441136i | ||||
\(15\) | −2.71528 | − | 1.30761i | −0.701082 | − | 0.337624i | ||||
\(16\) | 9.00037 | + | 2.77624i | 2.25009 | + | 0.694061i | ||||
\(17\) | −0.839161 | + | 2.13815i | −0.203526 | + | 0.518577i | −0.995796 | − | 0.0915938i | \(-0.970804\pi\) |
0.792270 | + | 0.610171i | \(0.208899\pi\) | |||||||
\(18\) | 3.87146 | + | 6.70557i | 0.912513 | + | 1.58052i | ||||
\(19\) | 2.40162 | − | 4.15973i | 0.550969 | − | 0.954307i | −0.447236 | − | 0.894416i | \(-0.647591\pi\) |
0.998205 | − | 0.0598907i | \(-0.0190752\pi\) | |||||||
\(20\) | −3.68927 | − | 4.62620i | −0.824945 | − | 1.03445i | ||||
\(21\) | 3.73306 | + | 5.27764i | 0.814621 | + | 1.15167i | ||||
\(22\) | 1.62553 | − | 2.03835i | 0.346564 | − | 0.434577i | ||||
\(23\) | 0.820707 | + | 2.09113i | 0.171129 | + | 0.436030i | 0.990548 | − | 0.137165i | \(-0.0437990\pi\) |
−0.819419 | + | 0.573195i | \(0.805704\pi\) | |||||||
\(24\) | 1.33159 | + | 17.7688i | 0.271809 | + | 3.62704i | ||||
\(25\) | −0.259956 | − | 3.46887i | −0.0519912 | − | 0.693774i | ||||
\(26\) | 1.42225 | + | 3.62383i | 0.278925 | + | 0.710691i | ||||
\(27\) | 0.0458752 | − | 0.0575257i | 0.00882869 | − | 0.0110708i | ||||
\(28\) | 2.10768 | + | 12.5160i | 0.398314 | + | 2.36530i | ||||
\(29\) | 1.73271 | + | 2.17274i | 0.321755 | + | 0.403468i | 0.916234 | − | 0.400643i | \(-0.131213\pi\) |
−0.594479 | + | 0.804111i | \(0.702642\pi\) | |||||||
\(30\) | 3.92862 | − | 6.80457i | 0.717265 | − | 1.24234i | ||||
\(31\) | −3.46858 | − | 6.00776i | −0.622976 | − | 1.07903i | −0.988929 | − | 0.148392i | \(-0.952590\pi\) |
0.365953 | − | 0.930633i | \(-0.380743\pi\) | |||||||
\(32\) | −3.64272 | + | 9.28151i | −0.643949 | + | 1.64075i | ||||
\(33\) | 2.33478 | + | 0.720186i | 0.406434 | + | 0.125368i | ||||
\(34\) | −5.39538 | − | 2.59828i | −0.925300 | − | 0.445601i | ||||
\(35\) | 1.36506 | − | 2.96419i | 0.230737 | − | 0.501040i | ||||
\(36\) | −12.8363 | + | 6.18162i | −2.13938 | + | 1.03027i | ||||
\(37\) | −10.8512 | + | 1.63555i | −1.78392 | + | 0.268882i | −0.956296 | − | 0.292402i | \(-0.905546\pi\) |
−0.827623 | + | 0.561284i | \(0.810307\pi\) | |||||||
\(38\) | 10.3468 | + | 7.05431i | 1.67847 | + | 1.14436i | ||||
\(39\) | −2.67441 | + | 2.48149i | −0.428249 | + | 0.397357i | ||||
\(40\) | 7.43221 | − | 5.06720i | 1.17514 | − | 0.801194i | ||||
\(41\) | −0.641335 | + | 2.80987i | −0.100160 | + | 0.438829i | 0.899837 | + | 0.436227i | \(0.143685\pi\) |
−0.999997 | + | 0.00260195i | \(0.999172\pi\) | |||||||
\(42\) | −14.4484 | + | 8.67717i | −2.22944 | + | 1.33892i | ||||
\(43\) | 0.826481 | + | 3.62105i | 0.126037 | + | 0.552205i | 0.998033 | + | 0.0626917i | \(0.0199685\pi\) |
−0.871996 | + | 0.489514i | \(0.837174\pi\) | |||||||
\(44\) | 3.51661 | + | 3.26293i | 0.530148 | + | 0.491906i | ||||
\(45\) | 3.62229 | + | 0.545973i | 0.539980 | + | 0.0813888i | ||||
\(46\) | −5.59653 | + | 1.72630i | −0.825163 | + | 0.254529i | ||||
\(47\) | 0.547628 | − | 7.30758i | 0.0798797 | − | 1.06592i | −0.802894 | − | 0.596122i | \(-0.796708\pi\) |
0.882774 | − | 0.469799i | \(-0.155673\pi\) | |||||||
\(48\) | −23.0133 | −3.32169 | ||||||||
\(49\) | −5.64435 | + | 4.14021i | −0.806336 | + | 0.591458i | ||||
\(50\) | 9.06922 | 1.28258 | ||||||||
\(51\) | 0.419397 | − | 5.59646i | 0.0587273 | − | 0.783662i | ||||
\(52\) | −6.84485 | + | 2.11136i | −0.949209 | + | 0.292792i | ||||
\(53\) | 9.66634 | + | 1.45697i | 1.32777 | + | 0.200130i | 0.774343 | − | 0.632766i | \(-0.218080\pi\) |
0.553431 | + | 0.832895i | \(0.313318\pi\) | |||||||
\(54\) | 0.140621 | + | 0.130477i | 0.0191360 | + | 0.0177556i | ||||
\(55\) | −0.274469 | − | 1.20253i | −0.0370093 | − | 0.162149i | ||||
\(56\) | −19.2131 | + | 1.77326i | −2.56746 | + | 0.236962i | ||||
\(57\) | −2.61149 | + | 11.4417i | −0.345900 | + | 1.51549i | ||||
\(58\) | −5.98641 | + | 4.08146i | −0.786054 | + | 0.535922i | ||||
\(59\) | 6.94499 | − | 6.44401i | 0.904161 | − | 0.838938i | −0.0833453 | − | 0.996521i | \(-0.526560\pi\) |
0.987506 | + | 0.157582i | \(0.0503700\pi\) | |||||||
\(60\) | 11.9454 | + | 8.14421i | 1.54214 | + | 1.05141i | ||||
\(61\) | 12.3282 | − | 1.85817i | 1.57846 | − | 0.237915i | 0.699438 | − | 0.714693i | \(-0.253433\pi\) |
0.879024 | + | 0.476778i | \(0.158195\pi\) | |||||||
\(62\) | 16.2951 | − | 7.84731i | 2.06948 | − | 0.996609i | ||||
\(63\) | −6.22682 | − | 4.79253i | −0.784505 | − | 0.603802i | ||||
\(64\) | −6.44875 | − | 3.10556i | −0.806094 | − | 0.388195i | ||||
\(65\) | 1.75994 | + | 0.542868i | 0.218293 | + | 0.0673345i | ||||
\(66\) | −2.32727 | + | 5.92979i | −0.286467 | + | 0.729907i | ||||
\(67\) | −0.418250 | − | 0.724430i | −0.0510973 | − | 0.0885032i | 0.839345 | − | 0.543598i | \(-0.182939\pi\) |
−0.890443 | + | 0.455095i | \(0.849605\pi\) | |||||||
\(68\) | 5.50942 | − | 9.54259i | 0.668115 | − | 1.15721i | ||||
\(69\) | −3.42217 | − | 4.29127i | −0.411981 | − | 0.516608i | ||||
\(70\) | 7.44051 | + | 4.12648i | 0.889311 | + | 0.493208i | ||||
\(71\) | 1.63997 | − | 2.05645i | 0.194628 | − | 0.244056i | −0.674936 | − | 0.737877i | \(-0.735829\pi\) |
0.869564 | + | 0.493820i | \(0.164400\pi\) | |||||||
\(72\) | −7.91278 | − | 20.1614i | −0.932530 | − | 2.37605i | ||||
\(73\) | −0.557268 | − | 7.43622i | −0.0652233 | − | 0.870344i | −0.929852 | − | 0.367933i | \(-0.880066\pi\) |
0.864629 | − | 0.502411i | \(-0.167554\pi\) | |||||||
\(74\) | −2.13804 | − | 28.5301i | −0.248542 | − | 3.31656i | ||||
\(75\) | 3.10517 | + | 7.91185i | 0.358554 | + | 0.913582i | ||||
\(76\) | −14.3665 | + | 18.0151i | −1.64796 | + | 2.06647i | ||||
\(77\) | −0.736165 | + | 2.54127i | −0.0838937 | + | 0.289605i | ||||
\(78\) | −5.93047 | − | 7.43657i | −0.671493 | − | 0.842026i | ||||
\(79\) | 6.40670 | − | 11.0967i | 0.720810 | − | 1.24848i | −0.239866 | − | 0.970806i | \(-0.577104\pi\) |
0.960676 | − | 0.277673i | \(-0.0895632\pi\) | |||||||
\(80\) | 5.80882 | + | 10.0612i | 0.649446 | + | 1.12487i | ||||
\(81\) | −3.32074 | + | 8.46112i | −0.368971 | + | 0.940124i | ||||
\(82\) | −7.18031 | − | 2.21483i | −0.792933 | − | 0.244587i | ||||
\(83\) | −1.37137 | − | 0.660417i | −0.150528 | − | 0.0724902i | 0.357103 | − | 0.934065i | \(-0.383764\pi\) |
−0.507631 | + | 0.861575i | \(0.669479\pi\) | |||||||
\(84\) | −13.9348 | − | 27.7043i | −1.52041 | − | 3.02278i | ||||
\(85\) | −2.55257 | + | 1.22926i | −0.276866 | + | 0.133331i | ||||
\(86\) | −9.57524 | + | 1.44324i | −1.03252 | + | 0.155628i | ||||
\(87\) | −5.61027 | − | 3.82502i | −0.601484 | − | 0.410085i | ||||
\(88\) | −5.34596 | + | 4.96032i | −0.569881 | + | 0.528772i | ||||
\(89\) | 13.4259 | − | 9.15362i | 1.42314 | − | 0.970282i | 0.425271 | − | 0.905066i | \(-0.360179\pi\) |
0.997871 | − | 0.0652164i | \(-0.0207738\pi\) | |||||||
\(90\) | −2.12519 | + | 9.31107i | −0.224015 | + | 0.981473i | ||||
\(91\) | −2.73658 | − | 2.84924i | −0.286871 | − | 0.298681i | ||||
\(92\) | −2.39800 | − | 10.5063i | −0.250009 | − | 1.09536i | ||||
\(93\) | 12.4251 | + | 11.5288i | 1.28842 | + | 1.19548i | ||||
\(94\) | 18.8920 | + | 2.84751i | 1.94856 | + | 0.293698i | ||||
\(95\) | 5.66135 | − | 1.74629i | 0.580842 | − | 0.179166i | ||||
\(96\) | 1.82057 | − | 24.2938i | 0.185811 | − | 2.47947i | ||||
\(97\) | 7.69951 | 0.781767 | 0.390883 | − | 0.920440i | \(-0.372170\pi\) | ||||
0.390883 | + | 0.920440i | \(0.372170\pi\) | |||||||
\(98\) | −9.66424 | − | 15.4811i | −0.976236 | − | 1.56383i | ||||
\(99\) | −2.96989 | −0.298485 | ||||||||
\(100\) | −1.24706 | + | 16.6409i | −0.124706 | + | 1.66409i | ||||
\(101\) | −2.99961 | + | 0.925259i | −0.298473 | + | 0.0920667i | −0.440375 | − | 0.897814i | \(-0.645154\pi\) |
0.141902 | + | 0.989881i | \(0.454678\pi\) | |||||||
\(102\) | 14.4683 | + | 2.18074i | 1.43257 | + | 0.215926i | ||||
\(103\) | −0.476432 | − | 0.442065i | −0.0469443 | − | 0.0435579i | 0.656352 | − | 0.754455i | \(-0.272099\pi\) |
−0.703296 | + | 0.710897i | \(0.748289\pi\) | |||||||
\(104\) | −2.42311 | − | 10.6163i | −0.237605 | − | 1.04102i | ||||
\(105\) | −1.05235 | + | 7.90384i | −0.102699 | + | 0.771336i | ||||
\(106\) | −5.67122 | + | 24.8472i | −0.550837 | + | 2.41338i | ||||
\(107\) | −10.9978 | + | 7.49820i | −1.06320 | + | 0.724879i | −0.962840 | − | 0.270072i | \(-0.912952\pi\) |
−0.100362 | + | 0.994951i | \(0.532000\pi\) | |||||||
\(108\) | −0.258745 | + | 0.240080i | −0.0248978 | + | 0.0231017i | ||||
\(109\) | −7.50122 | − | 5.11425i | −0.718487 | − | 0.489856i | 0.148043 | − | 0.988981i | \(-0.452703\pi\) |
−0.866530 | + | 0.499125i | \(0.833655\pi\) | |||||||
\(110\) | 3.17987 | − | 0.479288i | 0.303189 | − | 0.0456983i | ||||
\(111\) | 24.1572 | − | 11.6335i | 2.29290 | − | 1.10420i | ||||
\(112\) | −0.429442 | − | 24.9161i | −0.0405785 | − | 2.35435i | ||||
\(113\) | −12.0504 | − | 5.80318i | −1.13361 | − | 0.545918i | −0.229538 | − | 0.973300i | \(-0.573722\pi\) |
−0.904071 | + | 0.427382i | \(0.859436\pi\) | |||||||
\(114\) | −29.2379 | − | 9.01870i | −2.73838 | − | 0.844679i | ||||
\(115\) | −1.01230 | + | 2.57930i | −0.0943976 | + | 0.240521i | ||||
\(116\) | −6.66583 | − | 11.5456i | −0.618907 | − | 1.07198i | ||||
\(117\) | 2.21728 | − | 3.84044i | 0.204988 | − | 0.355049i | ||||
\(118\) | 15.4004 | + | 19.3115i | 1.41772 | + | 1.77777i | ||||
\(119\) | 6.06703 | + | 0.349641i | 0.556163 | + | 0.0320515i | ||||
\(120\) | −13.7033 | + | 17.1834i | −1.25093 | + | 1.56862i | ||||
\(121\) | 0.365341 | + | 0.930874i | 0.0332128 | + | 0.0846249i | ||||
\(122\) | 2.42906 | + | 32.4135i | 0.219917 | + | 2.93458i | ||||
\(123\) | −0.526251 | − | 7.02233i | −0.0474504 | − | 0.633182i | ||||
\(124\) | 12.1582 | + | 30.9786i | 1.09184 | + | 2.78196i | ||||
\(125\) | 6.52042 | − | 8.17634i | 0.583204 | − | 0.731314i | ||||
\(126\) | 13.6731 | − | 15.2551i | 1.21809 | − | 1.35903i | ||||
\(127\) | 5.56580 | + | 6.97930i | 0.493885 | + | 0.619313i | 0.964838 | − | 0.262846i | \(-0.0846611\pi\) |
−0.470953 | + | 0.882159i | \(0.656090\pi\) | |||||||
\(128\) | −0.640327 | + | 1.10908i | −0.0565975 | + | 0.0980297i | ||||
\(129\) | −4.53749 | − | 7.85916i | −0.399503 | − | 0.691960i | ||||
\(130\) | −1.75427 | + | 4.46981i | −0.153860 | + | 0.392028i | ||||
\(131\) | −20.1507 | − | 6.21566i | −1.76057 | − | 0.543065i | −0.765609 | − | 0.643306i | \(-0.777562\pi\) |
−0.994963 | + | 0.100242i | \(0.968038\pi\) | |||||||
\(132\) | −10.5604 | − | 5.08564i | −0.919168 | − | 0.442648i | ||||
\(133\) | −12.4364 | − | 2.61391i | −1.07838 | − | 0.226654i | ||||
\(134\) | 1.96490 | − | 0.946247i | 0.169742 | − | 0.0817433i | ||||
\(135\) | 0.0897413 | − | 0.0135263i | 0.00772370 | − | 0.00116416i | ||||
\(136\) | 13.8402 | + | 9.43610i | 1.18679 | + | 0.809139i | ||||
\(137\) | −8.09850 | + | 7.51431i | −0.691901 | + | 0.641991i | −0.945615 | − | 0.325289i | \(-0.894538\pi\) |
0.253713 | + | 0.967279i | \(0.418348\pi\) | |||||||
\(138\) | 11.8234 | − | 8.06108i | 1.00648 | − | 0.686204i | ||||
\(139\) | 4.63858 | − | 20.3229i | 0.393439 | − | 1.72377i | −0.258955 | − | 0.965889i | \(-0.583378\pi\) |
0.652394 | − | 0.757880i | \(-0.273765\pi\) | |||||||
\(140\) | −8.59470 | + | 13.0850i | −0.726384 | + | 1.10589i | ||||
\(141\) | 3.98422 | + | 17.4560i | 0.335532 | + | 1.47006i | ||||
\(142\) | 5.02697 | + | 4.66434i | 0.421854 | + | 0.391423i | ||||
\(143\) | −1.47650 | − | 0.222546i | −0.123471 | − | 0.0186103i | ||||
\(144\) | 26.7301 | − | 8.24513i | 2.22750 | − | 0.687094i | ||||
\(145\) | −0.256161 | + | 3.41823i | −0.0212730 | + | 0.283868i | ||||
\(146\) | 19.4417 | 1.60901 | ||||||||
\(147\) | 10.1966 | − | 13.7315i | 0.841003 | − | 1.13255i | ||||
\(148\) | 52.6433 | 4.32725 | ||||||||
\(149\) | 0.988379 | − | 13.1890i | 0.0809711 | − | 1.08048i | −0.797699 | − | 0.603056i | \(-0.793950\pi\) |
0.878670 | − | 0.477429i | \(-0.158431\pi\) | |||||||
\(150\) | −21.1747 | + | 6.53152i | −1.72890 | + | 0.533296i | ||||
\(151\) | −15.7054 | − | 2.36721i | −1.27809 | − | 0.192641i | −0.525309 | − | 0.850912i | \(-0.676050\pi\) |
−0.752781 | + | 0.658271i | \(0.771288\pi\) | |||||||
\(152\) | −25.6779 | − | 23.8256i | −2.08275 | − | 1.93251i | ||||
\(153\) | 1.51795 | + | 6.65057i | 0.122719 | + | 0.537667i | ||||
\(154\) | −6.46351 | − | 2.40904i | −0.520845 | − | 0.194126i | ||||
\(155\) | 1.90403 | − | 8.34212i | 0.152936 | − | 0.670055i | ||||
\(156\) | 14.4607 | − | 9.85912i | 1.15778 | − | 0.789361i | ||||
\(157\) | 12.1097 | − | 11.2362i | 0.966459 | − | 0.896743i | −0.0282368 | − | 0.999601i | \(-0.508989\pi\) |
0.994696 | + | 0.102858i | \(0.0327988\pi\) | |||||||
\(158\) | 27.6017 | + | 18.8185i | 2.19587 | + | 1.49712i | ||||
\(159\) | −23.6181 | + | 3.55986i | −1.87304 | + | 0.282315i | ||||
\(160\) | −11.0805 | + | 5.33609i | −0.875991 | + | 0.421855i | ||||
\(161\) | 4.58223 | − | 3.78521i | 0.361130 | − | 0.298316i | ||||
\(162\) | −21.3507 | − | 10.2820i | −1.67747 | − | 0.807827i | ||||
\(163\) | 20.2221 | + | 6.23769i | 1.58392 | + | 0.488573i | 0.956896 | − | 0.290430i | \(-0.0937985\pi\) |
0.627019 | + | 0.779004i | \(0.284275\pi\) | |||||||
\(164\) | 5.05128 | − | 12.8705i | 0.394439 | − | 1.00501i | ||||
\(165\) | 1.50687 | + | 2.60997i | 0.117309 | + | 0.203186i | ||||
\(166\) | 1.98418 | − | 3.43670i | 0.154002 | − | 0.266739i | ||||
\(167\) | 7.73220 | + | 9.69588i | 0.598336 | + | 0.750289i | 0.985118 | − | 0.171882i | \(-0.0549847\pi\) |
−0.386782 | + | 0.922171i | \(0.626413\pi\) | |||||||
\(168\) | 43.5814 | − | 17.9772i | 3.36238 | − | 1.38697i | ||||
\(169\) | −6.71525 | + | 8.42066i | −0.516558 | + | 0.647743i | ||||
\(170\) | −2.69856 | − | 6.87583i | −0.206970 | − | 0.527352i | ||||
\(171\) | −1.06603 | − | 14.2252i | −0.0815214 | − | 1.08783i | ||||
\(172\) | −1.33152 | − | 17.7679i | −0.101527 | − | 1.35479i | ||||
\(173\) | −1.70576 | − | 4.34620i | −0.129686 | − | 0.330435i | 0.851251 | − | 0.524758i | \(-0.175844\pi\) |
−0.980938 | + | 0.194323i | \(0.937749\pi\) | |||||||
\(174\) | 11.0376 | − | 13.8407i | 0.836755 | − | 1.04926i | ||||
\(175\) | −8.50809 | + | 3.50956i | −0.643151 | + | 0.265298i | ||||
\(176\) | −5.87254 | − | 7.36393i | −0.442659 | − | 0.555077i | ||||
\(177\) | −11.5742 | + | 20.0471i | −0.869968 | + | 1.50683i | ||||
\(178\) | 21.1823 | + | 36.6888i | 1.58768 | + | 2.74994i | ||||
\(179\) | 9.48537 | − | 24.1683i | 0.708970 | − | 1.80643i | 0.129247 | − | 0.991612i | \(-0.458744\pi\) |
0.579723 | − | 0.814814i | \(-0.303161\pi\) | |||||||
\(180\) | −16.7925 | − | 5.17979i | −1.25164 | − | 0.386079i | ||||
\(181\) | −6.91459 | − | 3.32989i | −0.513958 | − | 0.247509i | 0.158882 | − | 0.987298i | \(-0.449211\pi\) |
−0.672839 | + | 0.739789i | \(0.734925\pi\) | |||||||
\(182\) | 7.94078 | − | 6.55959i | 0.588610 | − | 0.486229i | ||||
\(183\) | −27.4454 | + | 13.2170i | −2.02882 | + | 0.977030i | ||||
\(184\) | 16.1995 | − | 2.44169i | 1.19424 | − | 0.180003i | ||||
\(185\) | −11.1836 | − | 7.62485i | −0.822234 | − | 0.560590i | ||||
\(186\) | −32.3940 | + | 30.0573i | −2.37525 | + | 2.20391i | ||||
\(187\) | 1.89781 | − | 1.29390i | 0.138781 | − | 0.0946196i | ||||
\(188\) | −7.82257 | + | 34.2729i | −0.570520 | + | 2.49961i | ||||
\(189\) | −0.182411 | − | 0.0679873i | −0.0132685 | − | 0.00494535i | ||||
\(190\) | 3.43710 | + | 15.0589i | 0.249354 | + | 1.09249i | ||||
\(191\) | 6.66602 | + | 6.18516i | 0.482336 | + | 0.447542i | 0.883477 | − | 0.468474i | \(-0.155196\pi\) |
−0.401141 | + | 0.916016i | \(0.631386\pi\) | |||||||
\(192\) | 17.2930 | + | 2.60650i | 1.24802 | + | 0.188108i | ||||
\(193\) | −2.58148 | + | 0.796280i | −0.185819 | + | 0.0573175i | −0.386268 | − | 0.922387i | \(-0.626236\pi\) |
0.200449 | + | 0.979704i | \(0.435760\pi\) | |||||||
\(194\) | −1.50011 | + | 20.0176i | −0.107702 | + | 1.43718i | ||||
\(195\) | −4.50004 | −0.322254 | ||||||||
\(196\) | 29.7349 | − | 15.6040i | 2.12392 | − | 1.11457i | ||||
\(197\) | −2.04701 | −0.145844 | −0.0729218 | − | 0.997338i | \(-0.523232\pi\) | ||||
−0.0729218 | + | 0.997338i | \(0.523232\pi\) | |||||||
\(198\) | 0.578630 | − | 7.72128i | 0.0411214 | − | 0.548727i | ||||
\(199\) | −17.7308 | + | 5.46923i | −1.25690 | + | 0.387704i | −0.850493 | − | 0.525987i | \(-0.823696\pi\) |
−0.406411 | + | 0.913690i | \(0.633220\pi\) | |||||||
\(200\) | −25.0852 | − | 3.78098i | −1.77379 | − | 0.267356i | ||||
\(201\) | 1.49825 | + | 1.39017i | 0.105678 | + | 0.0980550i | ||||
\(202\) | −1.82112 | − | 7.97884i | −0.128133 | − | 0.561389i | ||||
\(203\) | 4.03659 | − | 6.14553i | 0.283313 | − | 0.431331i | ||||
\(204\) | −5.99087 | + | 26.2477i | −0.419444 | + | 1.83771i | ||||
\(205\) | −2.93726 | + | 2.00259i | −0.205147 | + | 0.139867i | ||||
\(206\) | 1.24213 | − | 1.15253i | 0.0865432 | − | 0.0803004i | ||||
\(207\) | 5.51233 | + | 3.75824i | 0.383133 | + | 0.261216i | ||||
\(208\) | 13.9069 | − | 2.09612i | 0.964268 | − | 0.145340i | ||||
\(209\) | −4.32757 | + | 2.08405i | −0.299344 | + | 0.144157i | ||||
\(210\) | −20.3438 | − | 4.27589i | −1.40386 | − | 0.295064i | ||||
\(211\) | −22.4864 | − | 10.8289i | −1.54803 | − | 0.745490i | −0.551941 | − | 0.833883i | \(-0.686113\pi\) |
−0.996086 | + | 0.0883929i | \(0.971827\pi\) | |||||||
\(212\) | −44.8118 | − | 13.8226i | −3.07769 | − | 0.949341i | ||||
\(213\) | −2.34794 | + | 5.98246i | −0.160878 | + | 0.409911i | ||||
\(214\) | −17.3515 | − | 30.0537i | −1.18613 | − | 2.05443i | ||||
\(215\) | −2.29063 | + | 3.96748i | −0.156219 | + | 0.270580i | ||||
\(216\) | −0.334556 | − | 0.419520i | −0.0227636 | − | 0.0285447i | ||||
\(217\) | −12.2502 | + | 13.6676i | −0.831597 | + | 0.927816i | ||||
\(218\) | 14.7578 | − | 18.5057i | 0.999523 | − | 1.25336i | ||||
\(219\) | 6.65656 | + | 16.9606i | 0.449809 | + | 1.14609i | ||||
\(220\) | 0.442187 | + | 5.90058i | 0.0298123 | + | 0.397817i | ||||
\(221\) | 0.256303 | + | 3.42012i | 0.0172408 | + | 0.230062i | ||||
\(222\) | 25.5388 | + | 65.0718i | 1.71405 | + | 4.36734i | ||||
\(223\) | −17.4545 | + | 21.8872i | −1.16884 | + | 1.46568i | −0.312006 | + | 0.950080i | \(0.601001\pi\) |
−0.856832 | + | 0.515596i | \(0.827571\pi\) | |||||||
\(224\) | 26.3364 | + | 1.51776i | 1.75968 | + | 0.101410i | ||||
\(225\) | −6.44130 | − | 8.07713i | −0.429420 | − | 0.538476i | ||||
\(226\) | 17.4353 | − | 30.1987i | 1.15978 | − | 2.00879i | ||||
\(227\) | 6.87019 | + | 11.8995i | 0.455991 | + | 0.789799i | 0.998745 | − | 0.0500927i | \(-0.0159517\pi\) |
−0.542754 | + | 0.839892i | \(0.682618\pi\) | |||||||
\(228\) | 20.5686 | − | 52.4079i | 1.36219 | − | 3.47080i | ||||
\(229\) | −0.127288 | − | 0.0392631i | −0.00841142 | − | 0.00259458i | 0.290547 | − | 0.956861i | \(-0.406163\pi\) |
−0.298958 | + | 0.954266i | \(0.596639\pi\) | |||||||
\(230\) | −6.50858 | − | 3.13437i | −0.429163 | − | 0.206674i | ||||
\(231\) | −0.111402 | − | 6.46350i | −0.00732969 | − | 0.425267i | ||||
\(232\) | 18.2598 | − | 8.79345i | 1.19881 | − | 0.577318i | ||||
\(233\) | 15.8782 | − | 2.39325i | 1.04022 | − | 0.156787i | 0.393348 | − | 0.919390i | \(-0.371317\pi\) |
0.646867 | + | 0.762603i | \(0.276079\pi\) | |||||||
\(234\) | 9.55261 | + | 6.51286i | 0.624473 | + | 0.425759i | ||||
\(235\) | 6.62592 | − | 6.14796i | 0.432228 | − | 0.401049i | ||||
\(236\) | −37.5518 | + | 25.6024i | −2.44442 | + | 1.66658i | ||||
\(237\) | −6.96655 | + | 30.5225i | −0.452526 | + | 1.98265i | ||||
\(238\) | −2.09107 | + | 15.7053i | −0.135544 | + | 1.01802i | ||||
\(239\) | −0.250065 | − | 1.09561i | −0.0161754 | − | 0.0708688i | 0.966196 | − | 0.257808i | \(-0.0830003\pi\) |
−0.982371 | + | 0.186939i | \(0.940143\pi\) | |||||||
\(240\) | −20.8083 | − | 19.3073i | −1.34317 | − | 1.24628i | ||||
\(241\) | 12.4774 | + | 1.88066i | 0.803739 | + | 0.121144i | 0.538048 | − | 0.842914i | \(-0.319162\pi\) |
0.265691 | + | 0.964058i | \(0.414400\pi\) | |||||||
\(242\) | −2.49132 | + | 0.768470i | −0.160148 | + | 0.0493991i | ||||
\(243\) | 1.64315 | − | 21.9263i | 0.105408 | − | 1.40657i | ||||
\(244\) | −59.8089 | −3.82887 | ||||||||
\(245\) | −8.57700 | − | 0.991874i | −0.547964 | − | 0.0633685i | ||||
\(246\) | 18.3596 | 1.17056 | ||||||||
\(247\) | 0.535970 | − | 7.15203i | 0.0341030 | − | 0.455073i | ||||
\(248\) | −48.3433 | + | 14.9119i | −3.06980 | + | 0.946909i | ||||
\(249\) | 3.67748 | + | 0.554291i | 0.233051 | + | 0.0351267i | ||||
\(250\) | 19.9869 | + | 18.5452i | 1.26408 | + | 1.17290i | ||||
\(251\) | −2.08000 | − | 9.11309i | −0.131289 | − | 0.575213i | −0.997184 | − | 0.0749887i | \(-0.976108\pi\) |
0.865896 | − | 0.500225i | \(-0.166749\pi\) | |||||||
\(252\) | 26.1111 | + | 27.1861i | 1.64485 | + | 1.71256i | ||||
\(253\) | 0.499874 | − | 2.19009i | 0.0314268 | − | 0.137690i | ||||
\(254\) | −19.2296 | + | 13.1105i | −1.20657 | + | 0.822626i | ||||
\(255\) | 5.07442 | − | 4.70837i | 0.317772 | − | 0.294850i | ||||
\(256\) | −14.5864 | − | 9.94486i | −0.911652 | − | 0.621554i | ||||
\(257\) | −8.37927 | + | 1.26297i | −0.522685 | + | 0.0787820i | −0.405085 | − | 0.914279i | \(-0.632758\pi\) |
−0.117600 | + | 0.993061i | \(0.537520\pi\) | |||||||
\(258\) | 21.3167 | − | 10.2656i | 1.32712 | − | 0.639108i | ||||
\(259\) | 13.0462 | + | 25.9375i | 0.810650 | + | 1.61168i | ||||
\(260\) | −7.96034 | − | 3.83350i | −0.493679 | − | 0.237743i | ||||
\(261\) | 7.88676 | + | 2.43274i | 0.488178 | + | 0.150583i | ||||
\(262\) | 20.0858 | − | 51.1778i | 1.24091 | − | 3.16178i | ||||
\(263\) | −14.6557 | − | 25.3844i | −0.903707 | − | 1.56527i | −0.822644 | − | 0.568557i | \(-0.807502\pi\) |
−0.0810632 | − | 0.996709i | \(-0.525832\pi\) | |||||||
\(264\) | 8.90930 | − | 15.4314i | 0.548330 | − | 0.949735i | ||||
\(265\) | 7.51781 | + | 9.42703i | 0.461815 | + | 0.579098i | ||||
\(266\) | 9.21880 | − | 31.8237i | 0.565241 | − | 1.95124i | ||||
\(267\) | −24.7543 | + | 31.0409i | −1.51494 | + | 1.89967i | ||||
\(268\) | 1.46606 | + | 3.73547i | 0.0895541 | + | 0.228180i | ||||
\(269\) | −1.58534 | − | 21.1549i | −0.0966599 | − | 1.28984i | −0.808919 | − | 0.587920i | \(-0.799947\pi\) |
0.712259 | − | 0.701917i | \(-0.247672\pi\) | |||||||
\(270\) | 0.0176820 | + | 0.235950i | 0.00107609 | + | 0.0143595i | ||||
\(271\) | 1.76814 | + | 4.50514i | 0.107407 | + | 0.273668i | 0.974465 | − | 0.224538i | \(-0.0720874\pi\) |
−0.867058 | + | 0.498206i | \(0.833992\pi\) | |||||||
\(272\) | −13.4888 | + | 16.9144i | −0.817877 | + | 1.02559i | ||||
\(273\) | 8.44130 | + | 4.68151i | 0.510891 | + | 0.283338i | ||||
\(274\) | −17.9583 | − | 22.5190i | −1.08490 | − | 1.36042i | ||||
\(275\) | −1.73930 | + | 3.01255i | −0.104884 | + | 0.181664i | ||||
\(276\) | 13.1653 | + | 22.8030i | 0.792459 | + | 1.37258i | ||||
\(277\) | 0.507905 | − | 1.29412i | 0.0305171 | − | 0.0777563i | −0.914803 | − | 0.403900i | \(-0.867654\pi\) |
0.945320 | + | 0.326144i | \(0.105749\pi\) | |||||||
\(278\) | 51.9330 | + | 16.0192i | 3.11473 | + | 0.960768i | ||||
\(279\) | −18.5623 | − | 8.93913i | −1.11130 | − | 0.535172i | ||||
\(280\) | −18.8599 | − | 14.5157i | −1.12709 | − | 0.867478i | ||||
\(281\) | −15.8448 | + | 7.63047i | −0.945224 | + | 0.455196i | −0.842009 | − | 0.539463i | \(-0.818627\pi\) |
−0.103215 | + | 0.994659i | \(0.532913\pi\) | |||||||
\(282\) | −46.1594 | + | 6.95741i | −2.74875 | + | 0.414308i | ||||
\(283\) | −11.2395 | − | 7.66295i | −0.668118 | − | 0.455515i | 0.181165 | − | 0.983453i | \(-0.442013\pi\) |
−0.849283 | + | 0.527937i | \(0.822966\pi\) | |||||||
\(284\) | −9.24974 | + | 8.58250i | −0.548871 | + | 0.509278i | ||||
\(285\) | −11.9604 | + | 8.15444i | −0.708471 | + | 0.483028i | ||||
\(286\) | 0.866258 | − | 3.79532i | 0.0512229 | − | 0.224422i | ||||
\(287\) | 7.59314 | − | 0.700804i | 0.448209 | − | 0.0413671i | ||||
\(288\) | 6.58929 | + | 28.8696i | 0.388278 | + | 1.70116i | ||||
\(289\) | 8.59440 | + | 7.97444i | 0.505553 | + | 0.469085i | ||||
\(290\) | −8.83699 | − | 1.33196i | −0.518926 | − | 0.0782155i | ||||
\(291\) | −17.9767 | + | 5.54508i | −1.05381 | + | 0.325058i | ||||
\(292\) | −2.67333 | + | 35.6731i | −0.156445 | + | 2.08761i | ||||
\(293\) | −5.10482 | −0.298227 | −0.149113 | − | 0.988820i | \(-0.547642\pi\) | ||||
−0.149113 | + | 0.988820i | \(0.547642\pi\) | |||||||
\(294\) | 33.7132 | + | 29.1851i | 1.96620 | + | 1.70211i | ||||
\(295\) | 11.6858 | 0.680374 | ||||||||
\(296\) | −5.98054 | + | 79.8047i | −0.347612 | + | 4.63856i | ||||
\(297\) | −0.0703092 | + | 0.0216875i | −0.00407976 | + | 0.00125844i | ||||
\(298\) | 34.0969 | + | 5.13928i | 1.97518 | + | 0.297711i | ||||
\(299\) | 2.45887 | + | 2.28150i | 0.142200 | + | 0.131942i | ||||
\(300\) | −9.07292 | − | 39.7511i | −0.523825 | − | 2.29503i | ||||
\(301\) | 8.42431 | − | 5.05932i | 0.485569 | − | 0.291614i | ||||
\(302\) | 9.21434 | − | 40.3707i | 0.530226 | − | 2.32307i | ||||
\(303\) | 6.33710 | − | 4.32056i | 0.364057 | − | 0.248210i | ||||
\(304\) | 33.1639 | − | 30.7716i | 1.90208 | − | 1.76487i | ||||
\(305\) | 12.7059 | + | 8.66272i | 0.727536 | + | 0.496026i | ||||
\(306\) | −17.5863 | + | 2.65071i | −1.00534 | + | 0.151531i | ||||
\(307\) | −2.37636 | + | 1.14440i | −0.135626 | + | 0.0653142i | −0.500466 | − | 0.865756i | \(-0.666838\pi\) |
0.364840 | + | 0.931070i | \(0.381124\pi\) | |||||||
\(308\) | 5.30907 | − | 11.5285i | 0.302512 | − | 0.656898i | ||||
\(309\) | 1.43074 | + | 0.689006i | 0.0813917 | + | 0.0391962i | ||||
\(310\) | 21.3173 | + | 6.57553i | 1.21074 | + | 0.373465i | ||||
\(311\) | 1.01848 | − | 2.59504i | 0.0577526 | − | 0.147151i | −0.899085 | − | 0.437774i | \(-0.855767\pi\) |
0.956838 | + | 0.290622i | \(0.0938623\pi\) | |||||||
\(312\) | 13.3032 | + | 23.0417i | 0.753143 | + | 1.30448i | ||||
\(313\) | −5.95005 | + | 10.3058i | −0.336317 | + | 0.582517i | −0.983737 | − | 0.179616i | \(-0.942515\pi\) |
0.647420 | + | 0.762133i | \(0.275848\pi\) | |||||||
\(314\) | 26.8530 | + | 33.6726i | 1.51540 | + | 1.90026i | ||||
\(315\) | −1.60945 | − | 9.55737i | −0.0906822 | − | 0.538497i | ||||
\(316\) | −38.3250 | + | 48.0581i | −2.15595 | + | 2.70348i | ||||
\(317\) | 8.74586 | + | 22.2841i | 0.491216 | + | 1.25160i | 0.934739 | + | 0.355336i | \(0.115633\pi\) |
−0.443522 | + | 0.896263i | \(0.646271\pi\) | |||||||
\(318\) | −4.65355 | − | 62.0973i | −0.260958 | − | 3.48224i | ||||
\(319\) | −0.207678 | − | 2.77127i | −0.0116277 | − | 0.155161i | ||||
\(320\) | −3.22542 | − | 8.21824i | −0.180307 | − | 0.459413i | ||||
\(321\) | 20.2775 | − | 25.4272i | 1.13178 | − | 1.41921i | ||||
\(322\) | 8.94823 | + | 12.6506i | 0.498665 | + | 0.704991i | ||||
\(323\) | 6.87876 | + | 8.62570i | 0.382745 | + | 0.479947i | ||||
\(324\) | 21.8020 | − | 37.7621i | 1.21122 | − | 2.09790i | ||||
\(325\) | −2.59708 | − | 4.49827i | −0.144060 | − | 0.249519i | ||||
\(326\) | −20.1570 | + | 51.3592i | −1.11639 | + | 2.84452i | ||||
\(327\) | 21.1969 | + | 6.53839i | 1.17219 | + | 0.361574i | ||||
\(328\) | 18.9372 | + | 9.11965i | 1.04563 | + | 0.503549i | ||||
\(329\) | −18.8250 | + | 4.63939i | −1.03786 | + | 0.255778i | ||||
\(330\) | −7.07913 | + | 3.40913i | −0.389693 | + | 0.187666i | ||||
\(331\) | 19.1141 | − | 2.88099i | 1.05061 | − | 0.158353i | 0.399031 | − | 0.916938i | \(-0.369347\pi\) |
0.651575 | + | 0.758584i | \(0.274109\pi\) | |||||||
\(332\) | 6.03309 | + | 4.11329i | 0.331109 | + | 0.225746i | ||||
\(333\) | −23.8907 | + | 22.1673i | −1.30920 | + | 1.21476i | ||||
\(334\) | −26.7144 | + | 18.2135i | −1.46175 | + | 0.996601i | ||||
\(335\) | 0.229593 | − | 1.00591i | 0.0125440 | − | 0.0549589i | ||||
\(336\) | 18.9469 | + | 57.8646i | 1.03364 | + | 3.15677i | ||||
\(337\) | −6.21910 | − | 27.2476i | −0.338776 | − | 1.48427i | −0.801620 | − | 0.597834i | \(-0.796028\pi\) |
0.462844 | − | 0.886440i | \(-0.346829\pi\) | |||||||
\(338\) | −20.5842 | − | 19.0993i | −1.11963 | − | 1.03886i | ||||
\(339\) | 32.3145 | + | 4.87063i | 1.75508 | + | 0.264536i | ||||
\(340\) | 12.9874 | − | 4.00607i | 0.704339 | − | 0.217260i | ||||
\(341\) | −0.518415 | + | 6.91777i | −0.0280737 | + | 0.374618i | ||||
\(342\) | 37.1911 | 2.01107 | ||||||||
\(343\) | 15.0571 | + | 10.7835i | 0.813008 | + | 0.582253i | ||||
\(344\) | 27.0865 | 1.46041 | ||||||||
\(345\) | 0.505929 | − | 6.75116i | 0.0272383 | − | 0.363470i | ||||
\(346\) | 11.6318 | − | 3.58794i | 0.625331 | − | 0.192889i | ||||
\(347\) | 10.4595 | + | 1.57652i | 0.561496 | + | 0.0846319i | 0.423657 | − | 0.905823i | \(-0.360746\pi\) |
0.137839 | + | 0.990455i | \(0.455984\pi\) | |||||||
\(348\) | 23.8782 | + | 22.1557i | 1.28001 | + | 1.18767i | ||||
\(349\) | 2.57245 | + | 11.2706i | 0.137700 | + | 0.603303i | 0.995937 | + | 0.0900499i | \(0.0287027\pi\) |
−0.858237 | + | 0.513253i | \(0.828440\pi\) | |||||||
\(350\) | −7.46670 | − | 22.8036i | −0.399112 | − | 1.21890i | ||||
\(351\) | 0.0244473 | − | 0.107111i | 0.00130490 | − | 0.00571714i | ||||
\(352\) | 8.23822 | − | 5.61672i | 0.439099 | − | 0.299372i | ||||
\(353\) | 18.0448 | − | 16.7431i | 0.960428 | − | 0.891147i | −0.0336923 | − | 0.999432i | \(-0.510727\pi\) |
0.994120 | + | 0.108286i | \(0.0345361\pi\) | |||||||
\(354\) | −49.8644 | − | 33.9970i | −2.65026 | − | 1.80692i | ||||
\(355\) | 3.20811 | − | 0.483545i | 0.170269 | − | 0.0256639i | ||||
\(356\) | −70.2322 | + | 33.8221i | −3.72230 | + | 1.79257i | ||||
\(357\) | −14.4170 | + | 3.55305i | −0.763029 | + | 0.188047i | ||||
\(358\) | 60.9861 | + | 29.3694i | 3.22322 | + | 1.55222i | ||||
\(359\) | −13.5024 | − | 4.16495i | −0.712632 | − | 0.219818i | −0.0828187 | − | 0.996565i | \(-0.526392\pi\) |
−0.629813 | + | 0.776747i | \(0.716868\pi\) | |||||||
\(360\) | 9.76002 | − | 24.8681i | 0.514398 | − | 1.31067i | ||||
\(361\) | −2.03555 | − | 3.52568i | −0.107134 | − | 0.185562i | ||||
\(362\) | 10.0044 | − | 17.3282i | 0.525821 | − | 0.910749i | ||||
\(363\) | −1.52339 | − | 1.91028i | −0.0799575 | − | 0.100264i | ||||
\(364\) | 10.9442 | + | 15.4724i | 0.573629 | + | 0.810972i | ||||
\(365\) | 5.73482 | − | 7.19124i | 0.300174 | − | 0.376406i | ||||
\(366\) | −29.0151 | − | 73.9293i | −1.51664 | − | 3.86434i | ||||
\(367\) | 1.25706 | + | 16.7743i | 0.0656179 | + | 0.875610i | 0.928768 | + | 0.370662i | \(0.120869\pi\) |
−0.863150 | + | 0.504948i | \(0.831512\pi\) | |||||||
\(368\) | 1.58118 | + | 21.0994i | 0.0824247 | + | 1.09988i | ||||
\(369\) | 3.12718 | + | 7.96792i | 0.162794 | + | 0.414793i | ||||
\(370\) | 22.0024 | − | 27.5902i | 1.14385 | − | 1.43434i | ||||
\(371\) | −4.29493 | − | 25.5045i | −0.222981 | − | 1.32413i | ||||
\(372\) | −50.6971 | − | 63.5722i | −2.62852 | − | 3.29606i | ||||
\(373\) | 11.2207 | − | 19.4348i | 0.580985 | − | 1.00630i | −0.414378 | − | 0.910105i | \(-0.636001\pi\) |
0.995363 | − | 0.0961909i | \(-0.0306659\pi\) | |||||||
\(374\) | 2.99421 | + | 5.18612i | 0.154827 | + | 0.268168i | ||||
\(375\) | −9.33528 | + | 23.7859i | −0.482072 | + | 1.22830i | ||||
\(376\) | −51.0675 | − | 15.7522i | −2.63360 | − | 0.812359i | ||||
\(377\) | 3.73866 | + | 1.80044i | 0.192551 | + | 0.0927276i | ||||
\(378\) | 0.212297 | − | 0.460997i | 0.0109194 | − | 0.0237111i | ||||
\(379\) | 13.5141 | − | 6.50804i | 0.694172 | − | 0.334295i | −0.0533100 | − | 0.998578i | \(-0.516977\pi\) |
0.747482 | + | 0.664283i | \(0.231263\pi\) | |||||||
\(380\) | −28.1039 | + | 4.23599i | −1.44170 | + | 0.217301i | ||||
\(381\) | −18.0213 | − | 12.2867i | −0.923261 | − | 0.629469i | ||||
\(382\) | −17.3793 | + | 16.1256i | −0.889201 | + | 0.825058i | ||||
\(383\) | 4.63033 | − | 3.15690i | 0.236599 | − | 0.161310i | −0.439217 | − | 0.898381i | \(-0.644744\pi\) |
0.675815 | + | 0.737071i | \(0.263792\pi\) | |||||||
\(384\) | 0.696283 | − | 3.05062i | 0.0355320 | − | 0.155676i | ||||
\(385\) | −2.79765 | + | 1.68016i | −0.142582 | + | 0.0856291i | ||||
\(386\) | −1.56726 | − | 6.86661i | −0.0797714 | − | 0.349501i | ||||
\(387\) | 8.08606 | + | 7.50276i | 0.411037 | + | 0.381387i | ||||
\(388\) | −36.5236 | − | 5.50505i | −1.85421 | − | 0.279477i | ||||
\(389\) | −0.478582 | + | 0.147623i | −0.0242651 | + | 0.00748479i | −0.306864 | − | 0.951753i | \(-0.599280\pi\) |
0.282599 | + | 0.959238i | \(0.408803\pi\) | |||||||
\(390\) | 0.876752 | − | 11.6994i | 0.0443961 | − | 0.592424i | ||||
\(391\) | −5.15984 | −0.260944 | ||||||||
\(392\) | 20.2769 | + | 46.8494i | 1.02414 | + | 2.36625i | ||||
\(393\) | 51.5239 | 2.59904 | ||||||||
\(394\) | 0.398824 | − | 5.32194i | 0.0200925 | − | 0.268115i | ||||
\(395\) | 15.1025 | − | 4.65851i | 0.759891 | − | 0.234395i | ||||
\(396\) | 14.0880 | + | 2.12343i | 0.707951 | + | 0.106706i | ||||
\(397\) | −8.53599 | − | 7.92024i | −0.428409 | − | 0.397506i | 0.436282 | − | 0.899810i | \(-0.356295\pi\) |
−0.864691 | + | 0.502305i | \(0.832486\pi\) | |||||||
\(398\) | −10.7647 | − | 47.1631i | −0.539585 | − | 2.36407i | ||||
\(399\) | 30.9189 | − | 2.85364i | 1.54788 | − | 0.142861i | ||||
\(400\) | 7.29074 | − | 31.9428i | 0.364537 | − | 1.59714i | ||||
\(401\) | −9.69809 | + | 6.61205i | −0.484300 | + | 0.330190i | −0.780734 | − | 0.624863i | \(-0.785155\pi\) |
0.296435 | + | 0.955053i | \(0.404202\pi\) | |||||||
\(402\) | −3.90615 | + | 3.62438i | −0.194821 | + | 0.180767i | ||||
\(403\) | −8.55852 | − | 5.83510i | −0.426330 | − | 0.290667i | ||||
\(404\) | 14.8906 | − | 2.24440i | 0.740836 | − | 0.111663i | ||||
\(405\) | −10.1011 | + | 4.86443i | −0.501928 | + | 0.241716i | ||||
\(406\) | 15.1910 | + | 11.6919i | 0.753918 | + | 0.580260i | ||||
\(407\) | 9.88698 | + | 4.76132i | 0.490079 | + | 0.236010i | ||||
\(408\) | −39.1097 | − | 12.0637i | −1.93622 | − | 0.597244i | ||||
\(409\) | −3.46234 | + | 8.82189i | −0.171201 | + | 0.436214i | −0.990562 | − | 0.137064i | \(-0.956233\pi\) |
0.819361 | + | 0.573278i | \(0.194329\pi\) | |||||||
\(410\) | −4.63417 | − | 8.02661i | −0.228865 | − | 0.396406i | ||||
\(411\) | 13.4965 | − | 23.3767i | 0.665736 | − | 1.15309i | ||||
\(412\) | 1.94395 | + | 2.43763i | 0.0957715 | + | 0.120094i | ||||
\(413\) | −21.9206 | − | 12.1571i | −1.07864 | − | 0.598210i | ||||
\(414\) | −10.8449 | + | 13.5990i | −0.532996 | + | 0.668356i | ||||
\(415\) | −0.685907 | − | 1.74766i | −0.0336699 | − | 0.0857894i | ||||
\(416\) | 1.11259 | + | 14.8465i | 0.0545491 | + | 0.727908i | ||||
\(417\) | 3.80621 | + | 50.7903i | 0.186391 | + | 2.48721i | ||||
\(418\) | −4.57507 | − | 11.6571i | −0.223774 | − | 0.570167i | ||||
\(419\) | 12.5970 | − | 15.7962i | 0.615405 | − | 0.771694i | −0.372284 | − | 0.928119i | \(-0.621425\pi\) |
0.987690 | + | 0.156425i | \(0.0499968\pi\) | |||||||
\(420\) | 10.6431 | − | 36.7405i | 0.519331 | − | 1.79275i | ||||
\(421\) | 17.1768 | + | 21.5390i | 0.837145 | + | 1.04975i | 0.998028 | + | 0.0627730i | \(0.0199944\pi\) |
−0.160883 | + | 0.986973i | \(0.551434\pi\) | |||||||
\(422\) | 32.5346 | − | 56.3516i | 1.58376 | − | 2.74315i | ||||
\(423\) | −10.8818 | − | 18.8478i | −0.529090 | − | 0.916410i | ||||
\(424\) | 26.0453 | − | 66.3623i | 1.26487 | − | 3.22284i | ||||
\(425\) | 7.63510 | + | 2.35512i | 0.370357 | + | 0.114240i | ||||
\(426\) | −15.0961 | − | 7.26989i | −0.731407 | − | 0.352227i | ||||
\(427\) | −14.8220 | − | 29.4681i | −0.717287 | − | 1.42606i | ||||
\(428\) | 57.5308 | − | 27.7054i | 2.78086 | − | 1.33919i | ||||
\(429\) | 3.60758 | − | 0.543755i | 0.174176 | − | 0.0262528i | ||||
\(430\) | −9.86859 | − | 6.72829i | −0.475906 | − | 0.324467i | ||||
\(431\) | −15.2290 | + | 14.1304i | −0.733553 | + | 0.680638i | −0.955689 | − | 0.294378i | \(-0.904888\pi\) |
0.222136 | + | 0.975016i | \(0.428697\pi\) | |||||||
\(432\) | 0.572599 | − | 0.390391i | 0.0275492 | − | 0.0187827i | ||||
\(433\) | −3.11756 | + | 13.6589i | −0.149820 | + | 0.656406i | 0.843113 | + | 0.537736i | \(0.180720\pi\) |
−0.992934 | + | 0.118670i | \(0.962137\pi\) | |||||||
\(434\) | −33.1470 | − | 34.5116i | −1.59111 | − | 1.65661i | ||||
\(435\) | −1.86368 | − | 8.16531i | −0.0893566 | − | 0.391497i | ||||
\(436\) | 31.9264 | + | 29.6234i | 1.52900 | + | 1.41870i | ||||
\(437\) | 10.6695 | + | 1.60817i | 0.510393 | + | 0.0769294i | ||||
\(438\) | −45.3921 | + | 14.0016i | −2.16892 | + | 0.669023i | ||||
\(439\) | −0.532713 | + | 7.10856i | −0.0254250 | + | 0.339273i | 0.969957 | + | 0.243277i | \(0.0782225\pi\) |
−0.995382 | + | 0.0959956i | \(0.969397\pi\) | |||||||
\(440\) | −8.99524 | −0.428831 | ||||||||
\(441\) | −6.92375 | + | 19.6024i | −0.329702 | + | 0.933446i | ||||
\(442\) | −8.94176 | −0.425316 | ||||||||
\(443\) | −1.52521 | + | 20.3525i | −0.0724648 | + | 0.966976i | 0.835923 | + | 0.548847i | \(0.184933\pi\) |
−0.908388 | + | 0.418129i | \(0.862686\pi\) | |||||||
\(444\) | −122.911 | + | 37.9129i | −5.83308 | + | 1.79927i | ||||
\(445\) | 19.8190 | + | 2.98723i | 0.939511 | + | 0.141608i | ||||
\(446\) | −53.5029 | − | 49.6434i | −2.53344 | − | 2.35069i | ||||
\(447\) | 7.19087 | + | 31.5053i | 0.340117 | + | 1.49015i | ||||
\(448\) | −2.49932 | + | 18.7715i | −0.118082 | + | 0.886871i | ||||
\(449\) | −3.22309 | + | 14.1213i | −0.152107 | + | 0.666424i | 0.840164 | + | 0.542333i | \(0.182459\pi\) |
−0.992271 | + | 0.124091i | \(0.960398\pi\) | |||||||
\(450\) | 22.2544 | − | 15.1728i | 1.04908 | − | 0.715251i | ||||
\(451\) | 2.11275 | − | 1.96035i | 0.0994857 | − | 0.0923092i | ||||
\(452\) | 53.0136 | + | 36.1441i | 2.49355 | + | 1.70007i | ||||
\(453\) | 38.3736 | − | 5.78390i | 1.80295 | − | 0.271751i | ||||
\(454\) | −32.2756 | + | 15.5431i | −1.51477 | + | 0.729474i | ||||
\(455\) | −0.0839733 | − | 4.87211i | −0.00393673 | − | 0.228408i | ||||
\(456\) | 77.1113 | + | 37.1348i | 3.61107 | + | 1.73900i | ||||
\(457\) | 26.7170 | + | 8.24111i | 1.24977 | + | 0.385503i | 0.847882 | − | 0.530185i | \(-0.177878\pi\) |
0.401889 | + | 0.915689i | \(0.368354\pi\) | |||||||
\(458\) | 0.126878 | − | 0.323281i | 0.00592863 | − | 0.0151059i | ||||
\(459\) | 0.0845017 | + | 0.146361i | 0.00394420 | + | 0.00683156i | ||||
\(460\) | 6.64615 | − | 11.5115i | 0.309878 | − | 0.536725i | ||||
\(461\) | 7.31318 | + | 9.17044i | 0.340609 | + | 0.427110i | 0.922405 | − | 0.386225i | \(-0.126221\pi\) |
−0.581796 | + | 0.813335i | \(0.697650\pi\) | |||||||
\(462\) | 16.8259 | + | 0.969670i | 0.782810 | + | 0.0451131i | ||||
\(463\) | −0.0944946 | + | 0.118492i | −0.00439154 | + | 0.00550681i | −0.784022 | − | 0.620733i | \(-0.786835\pi\) |
0.779631 | + | 0.626239i | \(0.215407\pi\) | |||||||
\(464\) | 9.56291 | + | 24.3659i | 0.443947 | + | 1.13116i | ||||
\(465\) | 1.56236 | + | 20.8483i | 0.0724529 | + | 0.966817i | ||||
\(466\) | 3.12853 | + | 41.7473i | 0.144926 | + | 1.93391i | ||||
\(467\) | −0.632501 | − | 1.61159i | −0.0292686 | − | 0.0745753i | 0.915492 | − | 0.402335i | \(-0.131801\pi\) |
−0.944761 | + | 0.327760i | \(0.893706\pi\) | |||||||
\(468\) | −13.2638 | + | 16.6323i | −0.613121 | + | 0.768829i | ||||
\(469\) | −1.47716 | + | 1.64807i | −0.0682087 | + | 0.0761007i | ||||
\(470\) | 14.6929 | + | 18.4243i | 0.677731 | + | 0.849848i | ||||
\(471\) | −20.1814 | + | 34.9552i | −0.929911 | + | 1.61065i | ||||
\(472\) | −34.5460 | − | 59.8354i | −1.59011 | − | 2.75415i | ||||
\(473\) | 1.35694 | − | 3.45743i | 0.0623922 | − | 0.158973i | ||||
\(474\) | −77.9967 | − | 24.0588i | −3.58251 | − | 1.10506i | ||||
\(475\) | −15.0539 | − | 7.24956i | −0.690719 | − | 0.332633i | ||||
\(476\) | −28.5297 | − | 5.99641i | −1.30766 | − | 0.274845i | ||||
\(477\) | 26.1571 | − | 12.5966i | 1.19765 | − | 0.576759i | ||||
\(478\) | 2.89714 | − | 0.436673i | 0.132512 | − | 0.0199730i | ||||
\(479\) | 11.8607 | + | 8.08647i | 0.541928 | + | 0.369480i | 0.803130 | − | 0.595804i | \(-0.203166\pi\) |
−0.261202 | + | 0.965284i | \(0.584119\pi\) | |||||||
\(480\) | 22.0276 | − | 20.4386i | 1.00542 | − | 0.932892i | ||||
\(481\) | −13.5385 | + | 9.23039i | −0.617302 | + | 0.420870i | ||||
\(482\) | −7.32045 | + | 32.0730i | −0.333437 | + | 1.46089i | ||||
\(483\) | −7.97246 | + | 12.1377i | −0.362759 | + | 0.552284i | ||||
\(484\) | −1.06748 | − | 4.67694i | −0.0485218 | − | 0.212588i | ||||
\(485\) | 6.96177 | + | 6.45958i | 0.316118 | + | 0.293314i | ||||
\(486\) | 56.6851 | + | 8.54391i | 2.57129 | + | 0.387560i | ||||
\(487\) | −24.1407 | + | 7.44642i | −1.09392 | + | 0.337430i | −0.788654 | − | 0.614837i | \(-0.789222\pi\) |
−0.305266 | + | 0.952267i | \(0.598745\pi\) | |||||||
\(488\) | 6.79459 | − | 90.6675i | 0.307577 | − | 4.10433i | ||||
\(489\) | −51.7065 | −2.33825 | ||||||||
\(490\) | 4.24980 | − | 22.1057i | 0.191987 | − | 0.998634i | ||||
\(491\) | −4.36667 | −0.197065 | −0.0985325 | − | 0.995134i | \(-0.531415\pi\) | ||||
−0.0985325 | + | 0.995134i | \(0.531415\pi\) | |||||||
\(492\) | −2.52454 | + | 33.6876i | −0.113815 | + | 1.51875i | ||||
\(493\) | −6.09966 | + | 1.88150i | −0.274715 | + | 0.0847384i | ||||
\(494\) | 18.4898 | + | 2.78689i | 0.831896 | + | 0.125388i | ||||
\(495\) | −2.68532 | − | 2.49161i | −0.120696 | − | 0.111990i | ||||
\(496\) | −14.5395 | − | 63.7017i | −0.652842 | − | 2.86029i | ||||
\(497\) | −6.52092 | − | 2.43044i | −0.292503 | − | 0.109020i | ||||
\(498\) | −2.15757 | + | 9.45292i | −0.0966829 | + | 0.423596i | ||||
\(499\) | 18.6350 | − | 12.7051i | 0.834218 | − | 0.568760i | −0.0691599 | − | 0.997606i | \(-0.522032\pi\) |
0.903378 | + | 0.428845i | \(0.141079\pi\) | |||||||
\(500\) | −36.7764 | + | 34.1235i | −1.64469 | + | 1.52605i | ||||
\(501\) | −25.0359 | − | 17.0692i | −1.11852 | − | 0.762594i | ||||
\(502\) | 24.0980 | − | 3.63219i | 1.07555 | − | 0.162112i | ||||
\(503\) | −10.1725 | + | 4.89881i | −0.453569 | + | 0.218427i | −0.646698 | − | 0.762746i | \(-0.723851\pi\) |
0.193129 | + | 0.981173i | \(0.438136\pi\) | |||||||
\(504\) | −44.1792 | + | 36.4948i | −1.96790 | + | 1.62561i | ||||
\(505\) | −3.48846 | − | 1.67995i | −0.155234 | − | 0.0747569i | ||||
\(506\) | 5.59653 | + | 1.72630i | 0.248796 | + | 0.0767434i | ||||
\(507\) | 9.61423 | − | 24.4966i | 0.426983 | − | 1.08793i | ||||
\(508\) | −21.4120 | − | 37.0867i | −0.950004 | − | 1.64546i | ||||
\(509\) | −1.08071 | + | 1.87184i | −0.0479015 | + | 0.0829678i | −0.888982 | − | 0.457942i | \(-0.848587\pi\) |
0.841081 | + | 0.540910i | \(0.181920\pi\) | |||||||
\(510\) | 11.2524 | + | 14.1101i | 0.498266 | + | 0.624806i | ||||
\(511\) | −18.2388 | + | 7.52344i | −0.806837 | + | 0.332818i | ||||
\(512\) | 27.1002 | − | 33.9825i | 1.19767 | − | 1.50183i | ||||
\(513\) | −0.129116 | − | 0.328983i | −0.00570063 | − | 0.0145250i | ||||
\(514\) | −1.65099 | − | 22.0310i | −0.0728222 | − | 0.971745i | ||||
\(515\) | −0.0599079 | − | 0.799415i | −0.00263986 | − | 0.0352264i | ||||
\(516\) | 15.9050 | + | 40.5252i | 0.700177 | + | 1.78402i | ||||
\(517\) | −4.56898 | + | 5.72932i | −0.200943 | + | 0.251975i | ||||
\(518\) | −69.9756 | + | 28.8647i | −3.07455 | + | 1.26824i | ||||
\(519\) | 7.11264 | + | 8.91897i | 0.312210 | + | 0.391499i | ||||
\(520\) | 6.71574 | − | 11.6320i | 0.294505 | − | 0.510097i | ||||
\(521\) | −4.41404 | − | 7.64534i | −0.193383 | − | 0.334949i | 0.752986 | − | 0.658036i | \(-0.228613\pi\) |
−0.946369 | + | 0.323087i | \(0.895279\pi\) | |||||||
\(522\) | −7.86138 | + | 20.0305i | −0.344083 | + | 0.876710i | ||||
\(523\) | −29.7763 | − | 9.18478i | −1.30203 | − | 0.401623i | −0.435247 | − | 0.900311i | \(-0.643339\pi\) |
−0.866781 | + | 0.498689i | \(0.833815\pi\) | |||||||
\(524\) | 91.1432 | + | 43.8923i | 3.98161 | + | 1.91744i | ||||
\(525\) | 17.3370 | − | 14.3215i | 0.756649 | − | 0.625040i | ||||
\(526\) | 68.8511 | − | 33.1569i | 3.00205 | − | 1.44571i | ||||
\(527\) | 15.7562 | − | 2.37486i | 0.686350 | − | 0.103451i | ||||
\(528\) | 19.0145 | + | 12.9639i | 0.827500 | + | 0.564180i | ||||
\(529\) | 13.1609 | − | 12.2116i | 0.572215 | − | 0.530938i | ||||
\(530\) | −25.9736 | + | 17.7085i | −1.12822 | + | 0.769209i | ||||
\(531\) | 6.26106 | − | 27.4315i | 0.271707 | − | 1.19042i | ||||
\(532\) | 57.1250 | + | 21.2913i | 2.47668 | + | 0.923095i | ||||
\(533\) | 0.957627 | + | 4.19564i | 0.0414794 | + | 0.181733i | ||||
\(534\) | −75.8789 | − | 70.4053i | −3.28360 | − | 3.04674i | ||||
\(535\) | −16.2348 | − | 2.44700i | −0.701890 | − | 0.105793i | ||||
\(536\) | −5.82935 | + | 1.79812i | −0.251790 | + | 0.0776668i | ||||
\(537\) | −4.74061 | + | 63.2591i | −0.204573 | + | 2.72983i | ||||
\(538\) | 55.3086 | 2.38452 | ||||||||
\(539\) | 6.99584 | − | 0.241225i | 0.301332 | − | 0.0103903i | ||||
\(540\) | −0.435371 | −0.0187354 | ||||||||
\(541\) | 0.696968 | − | 9.30039i | 0.0299650 | − | 0.399855i | −0.961974 | − | 0.273140i | \(-0.911938\pi\) |
0.991939 | − | 0.126715i | \(-0.0404433\pi\) | |||||||
\(542\) | −12.0572 | + | 3.71916i | −0.517902 | + | 0.159752i | ||||
\(543\) | 18.5422 | + | 2.79479i | 0.795723 | + | 0.119936i | ||||
\(544\) | −16.7884 | − | 15.5774i | −0.719797 | − | 0.667874i | ||||
\(545\) | −2.49183 | − | 10.9174i | −0.106738 | − | 0.467652i | ||||
\(546\) | −13.8159 | + | 21.0341i | −0.591266 | + | 0.900175i | ||||
\(547\) | −6.44871 | + | 28.2536i | −0.275727 | + | 1.20804i | 0.627411 | + | 0.778688i | \(0.284115\pi\) |
−0.903138 | + | 0.429350i | \(0.858743\pi\) | |||||||
\(548\) | 43.7889 | − | 29.8548i | 1.87057 | − | 1.27533i | ||||
\(549\) | 27.1426 | − | 25.1847i | 1.15842 | − | 1.07486i | ||||
\(550\) | −7.49334 | − | 5.10887i | −0.319517 | − | 0.217843i | ||||
\(551\) | 13.1993 | − | 1.98948i | 0.562310 | − | 0.0847546i | ||||
\(552\) | −36.0639 | + | 17.3675i | −1.53498 | + | 0.739209i | ||||
\(553\) | −33.1762 | − | 6.97301i | −1.41079 | − | 0.296522i | ||||
\(554\) | 3.26557 | + | 1.57262i | 0.138741 | + | 0.0668141i | ||||
\(555\) | 31.6026 | + | 9.74811i | 1.34146 | + | 0.413784i | ||||
\(556\) | −36.5343 | + | 93.0880i | −1.54940 | + | 3.94781i | ||||
\(557\) | −5.53166 | − | 9.58111i | −0.234384 | − | 0.405965i | 0.724710 | − | 0.689054i | \(-0.241974\pi\) |
−0.959093 | + | 0.283090i | \(0.908641\pi\) | |||||||
\(558\) | 26.8570 | − | 46.5177i | 1.13695 | − | 1.96925i | ||||
\(559\) | 3.45782 | + | 4.33597i | 0.146250 | + | 0.183392i | ||||
\(560\) | 20.5153 | − | 22.8891i | 0.866932 | − | 0.967239i | ||||
\(561\) | −3.49912 | + | 4.38776i | −0.147733 | + | 0.185251i | ||||
\(562\) | −16.7510 | − | 42.6810i | −0.706600 | − | 1.80039i | ||||
\(563\) | 1.60024 | + | 21.3538i | 0.0674422 | + | 0.899954i | 0.923629 | + | 0.383288i | \(0.125208\pi\) |
−0.856187 | + | 0.516666i | \(0.827173\pi\) | |||||||
\(564\) | −6.41885 | − | 85.6536i | −0.270282 | − | 3.60667i | ||||
\(565\) | −6.02717 | − | 15.3570i | −0.253565 | − | 0.646073i | ||||
\(566\) | 22.1124 | − | 27.7281i | 0.929453 | − | 1.16550i | ||||
\(567\) | 24.0085 | + | 1.38361i | 1.00826 | + | 0.0581060i | ||||
\(568\) | −11.9599 | − | 14.9972i | −0.501825 | − | 0.629268i | ||||
\(569\) | 14.4520 | − | 25.0316i | 0.605860 | − | 1.04938i | −0.386055 | − | 0.922476i | \(-0.626163\pi\) |
0.991915 | − | 0.126904i | \(-0.0405041\pi\) | |||||||
\(570\) | −18.8701 | − | 32.6840i | −0.790382 | − | 1.36898i | ||||
\(571\) | −4.86106 | + | 12.3858i | −0.203429 | + | 0.518329i | −0.995784 | − | 0.0917320i | \(-0.970760\pi\) |
0.792355 | + | 0.610061i | \(0.208855\pi\) | |||||||
\(572\) | 6.84485 | + | 2.11136i | 0.286197 | + | 0.0882802i | ||||
\(573\) | −20.0182 | − | 9.64024i | −0.836271 | − | 0.402727i | ||||
\(574\) | 0.342601 | + | 19.8776i | 0.0142999 | + | 0.829675i | ||||
\(575\) | 7.04050 | − | 3.39053i | 0.293609 | − | 0.141395i | ||||
\(576\) | −21.0198 | + | 3.16822i | −0.875824 | + | 0.132009i | ||||
\(577\) | 13.1689 | + | 8.97842i | 0.548230 | + | 0.373777i | 0.805530 | − | 0.592555i | \(-0.201881\pi\) |
−0.257301 | + | 0.966331i | \(0.582833\pi\) | |||||||
\(578\) | −22.4069 | + | 20.7905i | −0.932002 | + | 0.864772i | ||||
\(579\) | 5.45372 | − | 3.71829i | 0.226649 | − | 0.154527i | ||||
\(580\) | 3.65912 | − | 16.0317i | 0.151937 | − | 0.665679i | ||||
\(581\) | −0.531497 | + | 3.99189i | −0.0220502 | + | 0.165611i | ||||
\(582\) | −10.9140 | − | 47.8172i | −0.452398 | − | 1.98209i | ||||
\(583\) | −7.16597 | − | 6.64905i | −0.296784 | − | 0.275375i | ||||
\(584\) | −53.7751 | − | 8.10529i | −2.22523 | − | 0.335399i | ||||
\(585\) | 5.22681 | − | 1.61226i | 0.216102 | − | 0.0666586i | ||||
\(586\) | 0.994584 | − | 13.2718i | 0.0410859 | − | 0.548253i | ||||
\(587\) | 33.2564 | 1.37264 | 0.686319 | − | 0.727301i | \(-0.259225\pi\) | ||||
0.686319 | + | 0.727301i | \(0.259225\pi\) | |||||||
\(588\) | −58.1868 | + | 57.8466i | −2.39958 | + | 2.38555i | ||||
\(589\) | −33.3209 | −1.37296 | ||||||||
\(590\) | −2.27677 | + | 30.3814i | −0.0937333 | + | 1.25078i | ||||
\(591\) | 4.77933 | − | 1.47423i | 0.196595 | − | 0.0606417i | ||||
\(592\) | −102.205 | − | 15.4049i | −4.20060 | − | 0.633139i | ||||
\(593\) | −15.4749 | − | 14.3586i | −0.635477 | − | 0.589637i | 0.295219 | − | 0.955430i | \(-0.404607\pi\) |
−0.930696 | + | 0.365793i | \(0.880798\pi\) | |||||||
\(594\) | −0.0426859 | − | 0.187019i | −0.00175143 | − | 0.00767350i | ||||
\(595\) | 5.19237 | + | 5.40613i | 0.212866 | + | 0.221630i | ||||
\(596\) | −14.1185 | + | 61.8571i | −0.578315 | + | 2.53376i | ||||
\(597\) | 37.4588 | − | 25.5390i | 1.53309 | − | 1.04524i | ||||
\(598\) | −6.41063 | + | 5.94819i | −0.262150 | + | 0.243240i | ||||
\(599\) | 28.2768 | + | 19.2788i | 1.15536 | + | 0.787711i | 0.980430 | − | 0.196870i | \(-0.0630778\pi\) |
0.174930 | + | 0.984581i | \(0.444030\pi\) | |||||||
\(600\) | 61.2915 | − | 9.23820i | 2.50221 | − | 0.377148i | ||||
\(601\) | 9.90364 | − | 4.76934i | 0.403978 | − | 0.194546i | −0.220850 | − | 0.975308i | \(-0.570883\pi\) |
0.624828 | + | 0.780762i | \(0.285169\pi\) | |||||||
\(602\) | 11.5122 | + | 22.8877i | 0.469201 | + | 0.932833i | ||||
\(603\) | −2.23828 | − | 1.07790i | −0.0911500 | − | 0.0438955i | ||||
\(604\) | 72.8083 | + | 22.4584i | 2.96253 | + | 0.913818i | ||||
\(605\) | −0.450630 | + | 1.14819i | −0.0183207 | + | 0.0466804i | ||||
\(606\) | 9.99816 | + | 17.3173i | 0.406147 | + | 0.703468i | ||||
\(607\) | −21.3082 | + | 36.9070i | −0.864875 | + | 1.49801i | 0.00229614 | + | 0.999997i | \(0.499269\pi\) |
−0.867171 | + | 0.498010i | \(0.834064\pi\) | |||||||
\(608\) | 29.8601 | + | 37.4434i | 1.21099 | + | 1.51853i | ||||
\(609\) | −4.99866 | + | 17.2556i | −0.202556 | + | 0.699231i | ||||
\(610\) | −24.9973 | + | 31.3457i | −1.01211 | + | 1.26915i | ||||
\(611\) | −3.99760 | − | 10.1857i | −0.161726 | − | 0.412070i | ||||
\(612\) | −2.44552 | − | 32.6332i | −0.0988542 | − | 1.31912i | ||||
\(613\) | 0.504321 | + | 6.72970i | 0.0203693 | + | 0.271810i | 0.998084 | + | 0.0618721i | \(0.0197071\pi\) |
−0.977715 | + | 0.209938i | \(0.932674\pi\) | |||||||
\(614\) | −2.51227 | − | 6.40117i | −0.101387 | − | 0.258330i | ||||
\(615\) | 5.41562 | − | 6.79098i | 0.218379 | − | 0.273839i | ||||
\(616\) | 16.8735 | + | 9.35800i | 0.679854 | + | 0.377044i | ||||
\(617\) | 5.71858 | + | 7.17087i | 0.230221 | + | 0.288688i | 0.883502 | − | 0.468427i | \(-0.155179\pi\) |
−0.653281 | + | 0.757116i | \(0.726608\pi\) | |||||||
\(618\) | −2.07007 | + | 3.58547i | −0.0832704 | + | 0.144229i | ||||
\(619\) | −10.4822 | − | 18.1557i | −0.421314 | − | 0.729738i | 0.574754 | − | 0.818326i | \(-0.305098\pi\) |
−0.996068 | + | 0.0885886i | \(0.971764\pi\) | |||||||
\(620\) | −14.9965 | + | 38.2106i | −0.602276 | + | 1.53457i | ||||
\(621\) | 0.157944 | + | 0.0487191i | 0.00633806 | + | 0.00195503i | ||||
\(622\) | 6.54830 | + | 3.15350i | 0.262563 | + | 0.126444i | ||||
\(623\) | −34.0694 | − | 26.2218i | −1.36496 | − | 1.05055i | ||||
\(624\) | −30.9599 | + | 14.9095i | −1.23939 | + | 0.596859i | ||||
\(625\) | −4.44345 | + | 0.669743i | −0.177738 | + | 0.0267897i | ||||
\(626\) | −25.6343 | − | 17.4772i | −1.02455 | − | 0.698528i | ||||
\(627\) | 8.60304 | − | 7.98245i | 0.343572 | − | 0.318789i | ||||
\(628\) | −65.4777 | + | 44.6419i | −2.61284 | + | 1.78141i | ||||
\(629\) | 5.60882 | − | 24.5739i | 0.223638 | − | 0.979824i | ||||
\(630\) | 25.1614 | − | 2.32225i | 1.00245 | − | 0.0925207i | ||||
\(631\) | −5.30371 | − | 23.2371i | −0.211137 | − | 0.925054i | −0.963796 | − | 0.266642i | \(-0.914086\pi\) |
0.752658 | − | 0.658412i | \(-0.228771\pi\) | |||||||
\(632\) | −68.4998 | − | 63.5586i | −2.72478 | − | 2.52822i | ||||
\(633\) | 60.2997 | + | 9.08871i | 2.39670 | + | 0.361244i | ||||
\(634\) | −59.6394 | + | 18.3963i | −2.36858 | + | 0.730611i | ||||
\(635\) | −0.822841 | + | 10.9801i | −0.0326535 | + | 0.435730i | ||||
\(636\) | 114.581 | 4.54343 | ||||||||
\(637\) | −4.91108 | + | 9.22662i | −0.194584 | + | 0.365572i | ||||
\(638\) | 7.24537 | 0.286847 | ||||||||
\(639\) | 0.583769 | − | 7.78986i | 0.0230936 | − | 0.308162i | ||||
\(640\) | −1.50945 | + | 0.465602i | −0.0596661 | + | 0.0184046i | ||||
\(641\) | 39.0253 | + | 5.88212i | 1.54141 | + | 0.232330i | 0.864081 | − | 0.503353i | \(-0.167900\pi\) |
0.677327 | + | 0.735682i | \(0.263138\pi\) | |||||||
\(642\) | 62.1563 | + | 57.6726i | 2.45311 | + | 2.27616i | ||||
\(643\) | 3.27783 | + | 14.3611i | 0.129265 | + | 0.566348i | 0.997530 | + | 0.0702462i | \(0.0223785\pi\) |
−0.868265 | + | 0.496102i | \(0.834764\pi\) | |||||||
\(644\) | −24.4428 | + | 14.6794i | −0.963180 | + | 0.578449i | ||||
\(645\) | 2.49080 | − | 10.9129i | 0.0980750 | − | 0.429695i | ||||
\(646\) | −23.7658 | + | 16.2032i | −0.935052 | + | 0.637508i | ||||
\(647\) | −29.1261 | + | 27.0251i | −1.14507 | + | 1.06247i | −0.147767 | + | 0.989022i | \(0.547209\pi\) |
−0.997299 | + | 0.0734446i | \(0.976601\pi\) | |||||||
\(648\) | 54.7688 | + | 37.3407i | 2.15152 | + | 1.46688i | ||||
\(649\) | −9.36826 | + | 1.41204i | −0.367736 | + | 0.0554273i | ||||
\(650\) | 12.2009 | − | 5.87563i | 0.478557 | − | 0.230461i | ||||
\(651\) | 18.7583 | − | 40.7333i | 0.735198 | − | 1.59646i | ||||
\(652\) | −91.4662 | − | 44.0478i | −3.58209 | − | 1.72505i | ||||
\(653\) | −14.1411 | − | 4.36194i | −0.553383 | − | 0.170696i | 0.00543688 | − | 0.999985i | \(-0.498269\pi\) |
−0.558820 | + | 0.829289i | \(0.688746\pi\) | |||||||
\(654\) | −21.1287 | + | 53.8351i | −0.826199 | + | 2.10512i | ||||
\(655\) | −13.0052 | − | 22.5257i | −0.508156 | − | 0.880152i | ||||
\(656\) | −13.5731 | + | 23.5094i | −0.529942 | + | 0.917887i | ||||
\(657\) | −13.8082 | − | 17.3150i | −0.538710 | − | 0.675521i | ||||
\(658\) | −8.39403 | − | 49.8462i | −0.327234 | − | 1.94321i | ||||
\(659\) | −24.5420 | + | 30.7747i | −0.956020 | + | 1.19881i | 0.0239591 | + | 0.999713i | \(0.492373\pi\) |
−0.979979 | + | 0.199099i | \(0.936199\pi\) | |||||||
\(660\) | −5.28193 | − | 13.4581i | −0.205599 | − | 0.523857i | ||||
\(661\) | 0.142514 | + | 1.90172i | 0.00554316 | + | 0.0739684i | 0.999289 | − | 0.0376945i | \(-0.0120014\pi\) |
−0.993746 | + | 0.111663i | \(0.964382\pi\) | |||||||
\(662\) | 3.76611 | + | 50.2552i | 0.146374 | + | 1.95322i | ||||
\(663\) | −3.06154 | − | 7.80066i | −0.118900 | − | 0.302953i | ||||
\(664\) | −6.92094 | + | 8.67859i | −0.268585 | + | 0.336795i | ||||
\(665\) | −9.05187 | − | 12.7971i | −0.351016 | − | 0.496251i | ||||
\(666\) | −52.9771 | − | 66.4312i | −2.05282 | − | 2.57416i | ||||
\(667\) | −3.12144 | + | 5.40649i | −0.120863 | + | 0.209340i | ||||
\(668\) | −29.7463 | − | 51.5221i | −1.15092 | − | 1.99345i | ||||
\(669\) | 24.9896 | − | 63.6724i | 0.966153 | − | 2.46172i | ||||
\(670\) | 2.57050 | + | 0.792893i | 0.0993069 | + | 0.0306321i | ||||
\(671\) | −11.2328 | − | 5.40942i | −0.433636 | − | 0.208828i | ||||
\(672\) | −62.5830 | + | 15.4235i | −2.41419 | + | 0.594974i | ||||
\(673\) | −37.3371 | + | 17.9806i | −1.43924 | + | 0.693101i | −0.980690 | − | 0.195569i | \(-0.937345\pi\) |
−0.458549 | + | 0.888669i | \(0.651630\pi\) | |||||||
\(674\) | 72.0516 | − | 10.8600i | 2.77532 | − | 0.418313i | ||||
\(675\) | −0.211475 | − | 0.144181i | −0.00813967 | − | 0.00554953i | ||||
\(676\) | 37.8753 | − | 35.1432i | 1.45674 | − | 1.35166i | ||||
\(677\) | 25.9558 | − | 17.6964i | 0.997564 | − | 0.680127i | 0.0496869 | − | 0.998765i | \(-0.484178\pi\) |
0.947877 | + | 0.318638i | \(0.103225\pi\) | |||||||
\(678\) | −18.9589 | + | 83.0642i | −0.728111 | + | 3.19006i | ||||
\(679\) | −6.33902 | − | 19.3596i | −0.243269 | − | 0.742953i | ||||
\(680\) | 4.59759 | + | 20.1434i | 0.176310 | + | 0.772463i | ||||
\(681\) | −24.6103 | − | 22.8350i | −0.943068 | − | 0.875039i | ||||
\(682\) | −17.8842 | − | 2.69561i | −0.684821 | − | 0.103220i | ||||
\(683\) | −11.3843 | + | 3.51159i | −0.435608 | + | 0.134367i | −0.504801 | − | 0.863236i | \(-0.668434\pi\) |
0.0691924 | + | 0.997603i | \(0.477958\pi\) | |||||||
\(684\) | −5.11397 | + | 68.2412i | −0.195538 | + | 2.60927i | ||||
\(685\) | −13.6267 | −0.520651 | ||||||||
\(686\) | −30.9691 | + | 37.0454i | −1.18241 | + | 1.41440i | ||||
\(687\) | 0.325467 | 0.0124173 | ||||||||
\(688\) | −2.61429 | + | 34.8853i | −0.0996690 | + | 1.32999i | ||||
\(689\) | 13.9481 | − | 4.30242i | 0.531380 | − | 0.163909i | ||||
\(690\) | 17.4535 | + | 2.63069i | 0.664442 | + | 0.100149i | ||||
\(691\) | −25.0038 | − | 23.2002i | −0.951190 | − | 0.882576i | 0.0419953 | − | 0.999118i | \(-0.486629\pi\) |
−0.993186 | + | 0.116542i | \(0.962819\pi\) | |||||||
\(692\) | 4.98400 | + | 21.8363i | 0.189463 | + | 0.830093i | ||||
\(693\) | 2.44511 | + | 7.46746i | 0.0928821 | + | 0.283665i | ||||
\(694\) | −6.13657 | + | 26.8861i | −0.232941 | + | 1.02058i | ||||
\(695\) | 21.2443 | − | 14.4841i | 0.805840 | − | 0.549413i | ||||
\(696\) | −36.2998 | + | 33.6813i | −1.37594 | + | 1.27668i | ||||
\(697\) | −5.46974 | − | 3.72920i | −0.207181 | − | 0.141254i | ||||
\(698\) | −29.8032 | + | 4.49211i | −1.12807 | + | 0.170029i | ||||
\(699\) | −35.3486 | + | 17.0230i | −1.33701 | + | 0.643868i | ||||
\(700\) | 42.8685 | − | 10.5649i | 1.62028 | − | 0.399315i | ||||
\(701\) | −6.01351 | − | 2.89596i | −0.227127 | − | 0.109379i | 0.316860 | − | 0.948472i | \(-0.397372\pi\) |
−0.543987 | + | 0.839094i | \(0.683086\pi\) | |||||||
\(702\) | 0.273709 | + | 0.0844280i | 0.0103305 | + | 0.00318653i | ||||
\(703\) | −19.2569 | + | 49.0658i | −0.726288 | + | 1.85055i | ||||
\(704\) | 3.57879 | + | 6.19864i | 0.134881 | + | 0.233620i | ||||
\(705\) | −11.0424 | + | 19.1261i | −0.415882 | + | 0.720329i | ||||
\(706\) | 40.0140 | + | 50.1760i | 1.50595 | + | 1.88840i | ||||
\(707\) | 4.79605 | + | 6.78044i | 0.180374 | + | 0.255005i | ||||
\(708\) | 69.2370 | − | 86.8204i | 2.60209 | − | 3.26291i | ||||
\(709\) | −3.12031 | − | 7.95042i | −0.117186 | − | 0.298584i | 0.860231 | − | 0.509904i | \(-0.170319\pi\) |
−0.977417 | + | 0.211320i | \(0.932224\pi\) | |||||||
\(710\) | 0.632104 | + | 8.43485i | 0.0237225 | + | 0.316554i | ||||
\(711\) | −2.84380 | − | 37.9479i | −0.106651 | − | 1.42316i | ||||
\(712\) | −43.2939 | − | 110.311i | −1.62251 | − | 4.13408i | ||||
\(713\) | 9.71630 | − | 12.1839i | 0.363878 | − | 0.456289i | ||||
\(714\) | −6.42852 | − | 38.1744i | −0.240581 | − | 1.42864i | ||||
\(715\) | −1.14832 | − | 1.43995i | −0.0429447 | − | 0.0538509i | ||||
\(716\) | −62.2752 | + | 107.864i | −2.32733 | + | 4.03106i | ||||
\(717\) | 1.37289 | + | 2.37791i | 0.0512714 | + | 0.0888047i | ||||
\(718\) | 13.4590 | − | 34.2929i | 0.502285 | − | 1.27980i | ||||
\(719\) | 17.5416 | + | 5.41087i | 0.654191 | + | 0.201791i | 0.604045 | − | 0.796951i | \(-0.293555\pi\) |
0.0501468 | + | 0.998742i | \(0.484031\pi\) | |||||||
\(720\) | 31.0862 | + | 14.9703i | 1.15851 | + | 0.557911i | ||||
\(721\) | −0.719277 | + | 1.56189i | −0.0267873 | + | 0.0581679i | ||||
\(722\) | 9.56286 | − | 4.60523i | 0.355893 | − | 0.171389i | ||||
\(723\) | −30.4864 | + | 4.59509i | −1.13380 | + | 0.170893i | ||||
\(724\) | 30.4194 | + | 20.7396i | 1.13053 | + | 0.770782i | ||||
\(725\) | 7.08654 | − | 6.57535i | 0.263188 | − | 0.244202i | ||||
\(726\) | 5.26325 | − | 3.58842i | 0.195338 | − | 0.133179i | ||||
\(727\) | 6.58449 | − | 28.8485i | 0.244205 | − | 1.06993i | −0.692941 | − | 0.720995i | \(-0.743685\pi\) |
0.937146 | − | 0.348938i | \(-0.113458\pi\) | |||||||
\(728\) | −24.6987 | + | 14.8331i | −0.915394 | + | 0.549751i | ||||
\(729\) | 5.88685 | + | 25.7920i | 0.218031 | + | 0.955258i | ||||
\(730\) | 17.5789 | + | 16.3108i | 0.650622 | + | 0.603689i | ||||
\(731\) | −8.43589 | − | 1.27151i | −0.312013 | − | 0.0470284i | ||||
\(732\) | 139.641 | − | 43.0735i | 5.16128 | − | 1.59204i | ||||
\(733\) | −0.954339 | + | 12.7348i | −0.0352493 | + | 0.470370i | 0.951449 | + | 0.307807i | \(0.0995950\pi\) |
−0.986698 | + | 0.162563i | \(0.948024\pi\) | |||||||
\(734\) | −43.8556 | −1.61874 | ||||||||
\(735\) | 20.7398 | − | 3.86122i | 0.764998 | − | 0.142423i | ||||
\(736\) | −22.3984 | −0.825617 | ||||||||
\(737\) | −0.0625117 | + | 0.834161i | −0.00230265 | + | 0.0307267i | ||||
\(738\) | −21.3247 | + | 6.57780i | −0.784974 | + | 0.242132i | ||||
\(739\) | 19.1217 | + | 2.88213i | 0.703402 | + | 0.106021i | 0.490998 | − | 0.871161i | \(-0.336632\pi\) |
0.212405 | + | 0.977182i | \(0.431870\pi\) | |||||||
\(740\) | 47.5992 | + | 44.1656i | 1.74978 | + | 1.62356i | ||||
\(741\) | 3.89941 | + | 17.0844i | 0.143248 | + | 0.627613i | ||||
\(742\) | 67.1448 | − | 6.19709i | 2.46496 | − | 0.227502i | ||||
\(743\) | 0.204727 | − | 0.896969i | 0.00751072 | − | 0.0329066i | −0.971034 | − | 0.238943i | \(-0.923199\pi\) |
0.978544 | + | 0.206036i | \(0.0660564\pi\) | |||||||
\(744\) | 102.132 | − | 69.6323i | 3.74434 | − | 2.55285i | ||||
\(745\) | 11.9587 | − | 11.0961i | 0.438133 | − | 0.406528i | ||||
\(746\) | 48.3415 | + | 32.9587i | 1.76991 | + | 1.20670i | ||||
\(747\) | −4.46999 | + | 0.673743i | −0.163549 | + | 0.0246510i | ||||
\(748\) | −9.92763 | + | 4.78089i | −0.362990 | + | 0.174807i | ||||
\(749\) | 27.9080 | + | 21.4796i | 1.01974 | + | 0.784848i | ||||
\(750\) | −60.0211 | − | 28.9047i | −2.19166 | − | 1.05545i | ||||
\(751\) | −13.3678 | − | 4.12344i | −0.487800 | − | 0.150466i | 0.0410924 | − | 0.999155i | \(-0.486916\pi\) |
−0.528892 | + | 0.848689i | \(0.677392\pi\) | |||||||
\(752\) | 25.2165 | − | 64.2506i | 0.919551 | − | 2.34298i | ||||
\(753\) | 11.4195 | + | 19.7791i | 0.416149 | + | 0.720791i | ||||
\(754\) | −5.40931 | + | 9.36920i | −0.196995 | + | 0.341206i | ||||
\(755\) | −12.2146 | − | 15.3166i | −0.444535 | − | 0.557429i | ||||
\(756\) | 0.816682 | + | 0.452929i | 0.0297024 | + | 0.0164729i | ||||
\(757\) | 25.0700 | − | 31.4368i | 0.911186 | − | 1.14259i | −0.0781501 | − | 0.996942i | \(-0.524901\pi\) |
0.989336 | − | 0.145650i | \(-0.0465272\pi\) | |||||||
\(758\) | 14.2870 | + | 36.4026i | 0.518927 | + | 1.32220i | ||||
\(759\) | 0.410174 | + | 5.47339i | 0.0148884 | + | 0.198671i | ||||
\(760\) | −3.22881 | − | 43.0855i | −0.117121 | − | 1.56287i | ||||
\(761\) | −9.74846 | − | 24.8387i | −0.353381 | − | 0.900401i | −0.991458 | − | 0.130428i | \(-0.958365\pi\) |
0.638076 | − | 0.769973i | \(-0.279730\pi\) | |||||||
\(762\) | 35.4549 | − | 44.4590i | 1.28440 | − | 1.61058i | ||||
\(763\) | −6.68346 | + | 23.0716i | −0.241958 | + | 0.835248i | ||||
\(764\) | −27.1988 | − | 34.1062i | −0.984018 | − | 1.23392i | ||||
\(765\) | −4.20706 | + | 7.28684i | −0.152106 | + | 0.263456i | ||||
\(766\) | 7.30536 | + | 12.6533i | 0.263953 | + | 0.457181i | ||||
\(767\) | 5.16828 | − | 13.1686i | 0.186616 | − | 0.475490i | ||||
\(768\) | 41.2183 | + | 12.7142i | 1.48734 | + | 0.458783i | ||||
\(769\) | 5.09659 | + | 2.45439i | 0.183788 | + | 0.0885076i | 0.523515 | − | 0.852016i | \(-0.324620\pi\) |
−0.339727 | + | 0.940524i | \(0.610335\pi\) | |||||||
\(770\) | −3.82311 | − | 7.60084i | −0.137775 | − | 0.273915i | ||||
\(771\) | 18.6542 | − | 8.98340i | 0.671815 | − | 0.323529i | ||||
\(772\) | 12.8149 | − | 1.93154i | 0.461219 | − | 0.0695175i | ||||
\(773\) | 20.1768 | + | 13.7563i | 0.725709 | + | 0.494780i | 0.868945 | − | 0.494909i | \(-0.164798\pi\) |
−0.143236 | + | 0.989689i | \(0.545751\pi\) | |||||||
\(774\) | −21.0815 | + | 19.5608i | −0.757760 | + | 0.703099i | ||||
\(775\) | −19.9385 | + | 13.5938i | −0.716211 | + | 0.488304i | ||||
\(776\) | 12.4947 | − | 54.7427i | 0.448532 | − | 1.96515i | ||||
\(777\) | −49.1399 | − | 51.1629i | −1.76288 | − | 1.83546i | ||||
\(778\) | −0.290556 | − | 1.27301i | −0.0104169 | − | 0.0456395i | ||||
\(779\) | 10.1481 | + | 9.41603i | 0.363592 | + | 0.337364i | ||||
\(780\) | 21.3465 | + | 3.21747i | 0.764328 | + | 0.115204i | ||||
\(781\) | −2.51345 | + | 0.775296i | −0.0899382 | + | 0.0277423i | ||||
\(782\) | 1.00530 | − | 13.4148i | 0.0359496 | − | 0.479714i | ||||
\(783\) | 0.204477 | 0.00730740 | ||||||||
\(784\) | −62.2954 | + | 21.5933i | −2.22484 | + | 0.771189i | ||||
\(785\) | 20.3761 | 0.727253 | ||||||||
\(786\) | −10.0385 | + | 133.955i | −0.358062 | + | 4.77801i | ||||
\(787\) | −21.9665 | + | 6.77577i | −0.783022 | + | 0.241530i | −0.660391 | − | 0.750922i | \(-0.729609\pi\) |
−0.122631 | + | 0.992452i | \(0.539133\pi\) | |||||||
\(788\) | 9.71027 | + | 1.46359i | 0.345914 | + | 0.0521381i | ||||
\(789\) | 52.4993 | + | 48.7122i | 1.86902 | + | 1.73420i | ||||
\(790\) | 9.16901 | + | 40.1720i | 0.326219 | + | 1.42926i | ||||
\(791\) | −4.67034 | + | 35.0773i | −0.166058 | + | 1.24721i | ||||
\(792\) | −4.81949 | + | 21.1156i | −0.171253 | + | 0.750310i | ||||
\(793\) | 15.3813 | − | 10.4868i | 0.546207 | − | 0.372398i | ||||
\(794\) | 22.2546 | − | 20.6492i | 0.789786 | − | 0.732814i | ||||
\(795\) | −24.3417 | − | 16.5959i | −0.863310 | − | 0.588595i | ||||
\(796\) | 88.0189 | − | 13.2667i | 3.11975 | − | 0.470226i | ||||
\(797\) | 36.1481 | − | 17.4080i | 1.28043 | − | 0.616623i | 0.334929 | − | 0.942243i | \(-0.391288\pi\) |
0.945501 | + | 0.325621i | \(0.105573\pi\) | |||||||
\(798\) | 1.39505 | + | 80.9407i | 0.0493844 | + | 2.86527i | ||||
\(799\) | 15.1651 | + | 7.30314i | 0.536504 | + | 0.258367i | ||||
\(800\) | 33.1433 | + | 10.2234i | 1.17179 | + | 0.361450i | ||||
\(801\) | 17.6310 | − | 44.9230i | 0.622960 | − | 1.58728i | ||||
\(802\) | −15.3009 | − | 26.5019i | −0.540292 | − | 0.935814i | ||||
\(803\) | −3.72854 | + | 6.45802i | −0.131577 | + | 0.227898i | ||||
\(804\) | −6.11318 | − | 7.66568i | −0.215595 | − | 0.270348i | ||||
\(805\) | 7.31881 | + | 0.421781i | 0.257954 | + | 0.0148658i | ||||
\(806\) | 16.8379 | − | 21.1141i | 0.593090 | − | 0.743711i | ||||
\(807\) | 18.9369 | + | 48.2504i | 0.666610 | + | 1.69849i | ||||
\(808\) | 1.71076 | + | 22.8284i | 0.0601842 | + | 0.803102i | ||||
\(809\) | 2.70461 | + | 36.0906i | 0.0950892 | + | 1.26888i | 0.816897 | + | 0.576783i | \(0.195692\pi\) |
−0.721808 | + | 0.692093i | \(0.756689\pi\) | |||||||
\(810\) | −10.6788 | − | 27.2091i | −0.375215 | − | 0.956032i | ||||
\(811\) | −2.59737 | + | 3.25700i | −0.0912060 | + | 0.114369i | −0.825340 | − | 0.564635i | \(-0.809017\pi\) |
0.734134 | + | 0.679004i | \(0.237588\pi\) | |||||||
\(812\) | −23.5421 | + | 26.2660i | −0.826165 | + | 0.921756i | ||||
\(813\) | −7.37276 | − | 9.24515i | −0.258574 | − | 0.324242i | ||||
\(814\) | −14.3050 | + | 24.7771i | −0.501392 | + | 0.868436i | ||||
\(815\) | 13.0513 | + | 22.6055i | 0.457167 | + | 0.791837i | ||||
\(816\) | 19.3119 | − | 49.2059i | 0.676051 | − | 1.72255i | ||||
\(817\) | 17.0475 | + | 5.25845i | 0.596416 | + | 0.183970i | ||||
\(818\) | −22.2611 | − | 10.7204i | −0.778340 | − | 0.374829i | ||||
\(819\) | −11.4819 | − | 2.41327i | −0.401209 | − | 0.0843266i | ||||
\(820\) | 15.3651 | − | 7.39943i | 0.536572 | − | 0.258399i | ||||
\(821\) | 6.36939 | − | 0.960031i | 0.222293 | − | 0.0335053i | −0.0369511 | − | 0.999317i | \(-0.511765\pi\) |
0.259244 | + | 0.965812i | \(0.416526\pi\) | |||||||
\(822\) | 58.1465 | + | 39.6436i | 2.02809 | + | 1.38273i | ||||
\(823\) | 9.58772 | − | 8.89611i | 0.334207 | − | 0.310099i | −0.495161 | − | 0.868801i | \(-0.664891\pi\) |
0.829368 | + | 0.558702i | \(0.188701\pi\) | |||||||
\(824\) | −3.91618 | + | 2.67001i | −0.136427 | + | 0.0930141i | ||||
\(825\) | 1.89129 | − | 8.28628i | 0.0658463 | − | 0.288491i | ||||
\(826\) | 35.8775 | − | 54.6218i | 1.24834 | − | 1.90054i | ||||
\(827\) | 4.38776 | + | 19.2240i | 0.152577 | + | 0.668485i | 0.992131 | + | 0.125208i | \(0.0399597\pi\) |
−0.839553 | + | 0.543277i | \(0.817183\pi\) | |||||||
\(828\) | −23.4613 | − | 21.7689i | −0.815338 | − | 0.756523i | ||||
\(829\) | 15.4729 | + | 2.33217i | 0.537397 | + | 0.0809996i | 0.412133 | − | 0.911124i | \(-0.364784\pi\) |
0.125264 | + | 0.992123i | \(0.460022\pi\) | |||||||
\(830\) | 4.67731 | − | 1.44276i | 0.162352 | − | 0.0500789i | ||||
\(831\) | −0.253842 | + | 3.38728i | −0.00880567 | + | 0.117504i | ||||
\(832\) | −10.6875 | −0.370523 | ||||||||
\(833\) | −4.11586 | − | 15.5427i | −0.142606 | − | 0.538524i | ||||
\(834\) | −132.789 | −4.59811 | ||||||||
\(835\) | −1.14312 | + | 15.2539i | −0.0395593 | + | 0.527882i | ||||
\(836\) | 22.0185 | − | 6.79179i | 0.761524 | − | 0.234899i | ||||
\(837\) | −0.504722 | − | 0.0760747i | −0.0174458 | − | 0.00262953i | ||||
\(838\) | 38.6135 | + | 35.8281i | 1.33388 | + | 1.23766i | ||||
\(839\) | 12.6783 | + | 55.5473i | 0.437704 | + | 1.91771i | 0.395164 | + | 0.918611i | \(0.370688\pi\) |
0.0425396 | + | 0.999095i | \(0.486455\pi\) | |||||||
\(840\) | 54.4877 | + | 20.3084i | 1.88001 | + | 0.700705i | ||||
\(841\) | 4.73456 | − | 20.7435i | 0.163261 | − | 0.715292i | ||||
\(842\) | −59.3449 | + | 40.4607i | −2.04516 | + | 1.39437i | ||||
\(843\) | 31.4989 | − | 29.2267i | 1.08488 | − | 1.00662i | ||||
\(844\) | 98.9246 | + | 67.4457i | 3.40513 | + | 2.32158i | ||||
\(845\) | −13.1364 | + | 1.98000i | −0.451906 | + | 0.0681139i | ||||
\(846\) | 51.1216 | − | 24.6189i | 1.75760 | − | 0.846415i | ||||
\(847\) | 2.03980 | − | 1.68500i | 0.0700883 | − | 0.0578973i | ||||
\(848\) | 82.9557 | + | 39.9494i | 2.84871 | + | 1.37187i | ||||
\(849\) | 31.7605 | + | 9.79683i | 1.09002 | + | 0.336226i | ||||
\(850\) | −7.61053 | + | 19.3913i | −0.261039 | + | 0.665117i | ||||
\(851\) | −12.3258 | − | 21.3488i | −0.422521 | − | 0.731828i | ||||
\(852\) | 15.4152 | − | 26.6998i | 0.528114 | − | 0.914721i | ||||
\(853\) | −26.4666 | − | 33.1881i | −0.906200 | − | 1.13634i | −0.990170 | − | 0.139871i | \(-0.955331\pi\) |
0.0839693 | − | 0.996468i | \(-0.473240\pi\) | |||||||
\(854\) | 79.5005 | − | 32.7937i | 2.72045 | − | 1.12218i | ||||
\(855\) | 10.9705 | − | 13.7565i | 0.375182 | − | 0.470464i | ||||
\(856\) | 35.4643 | + | 90.3615i | 1.21214 | + | 3.08849i | ||||
\(857\) | −1.55532 | − | 20.7543i | −0.0531286 | − | 0.708952i | −0.958638 | − | 0.284627i | \(-0.908130\pi\) |
0.905510 | − | 0.424326i | \(-0.139489\pi\) | |||||||
\(858\) | 0.710812 | + | 9.48513i | 0.0242667 | + | 0.323817i | ||||
\(859\) | −15.7874 | − | 40.2258i | −0.538661 | − | 1.37249i | −0.898295 | − | 0.439392i | \(-0.855194\pi\) |
0.359635 | − | 0.933093i | \(-0.382901\pi\) | |||||||
\(860\) | 13.7026 | − | 17.1825i | 0.467254 | − | 0.585918i | ||||
\(861\) | −17.2236 | + | 7.10470i | −0.586980 | + | 0.242127i | ||||
\(862\) | −33.7699 | − | 42.3462i | −1.15021 | − | 1.44232i | ||||
\(863\) | −5.10179 | + | 8.83655i | −0.173667 | + | 0.300800i | −0.939699 | − | 0.342002i | \(-0.888895\pi\) |
0.766032 | + | 0.642802i | \(0.222228\pi\) | |||||||
\(864\) | 0.366815 | + | 0.635341i | 0.0124793 | + | 0.0216148i | ||||
\(865\) | 2.10397 | − | 5.36082i | 0.0715370 | − | 0.182273i | ||||
\(866\) | −34.9038 | − | 10.7664i | −1.18608 | − | 0.365858i | ||||
\(867\) | −25.8091 | − | 12.4290i | −0.876525 | − | 0.422112i | ||||
\(868\) | 67.8825 | − | 56.0752i | 2.30408 | − | 1.90332i | ||||
\(869\) | −11.5445 | + | 5.55952i | −0.391619 | + | 0.188594i | ||||
\(870\) | 21.5917 | − | 3.25443i | 0.732029 | − | 0.110336i | ||||
\(871\) | −1.03201 | − | 0.703610i | −0.0349682 | − | 0.0238409i | ||||
\(872\) | −48.5346 | + | 45.0336i | −1.64359 | + | 1.52503i | ||||
\(873\) | 18.8933 | − | 12.8813i | 0.639442 | − | 0.435964i | ||||
\(874\) | −6.25979 | + | 27.4259i | −0.211741 | + | 0.927696i | ||||
\(875\) | −25.9268 | − | 9.66330i | −0.876486 | − | 0.326679i | ||||
\(876\) | −19.4496 | − | 85.2144i | −0.657142 | − | 2.87913i | ||||
\(877\) | −25.0630 | − | 23.2551i | −0.846318 | − | 0.785269i | 0.132245 | − | 0.991217i | \(-0.457782\pi\) |
−0.978563 | + | 0.205949i | \(0.933972\pi\) | |||||||
\(878\) | −18.3774 | − | 2.76995i | −0.620208 | − | 0.0934814i | ||||
\(879\) | 11.9187 | − | 3.67642i | 0.402006 | − | 0.124002i | ||||
\(880\) | 0.868188 | − | 11.5852i | 0.0292666 | − | 0.390536i | ||||
\(881\) | 27.0475 | 0.911255 | 0.455627 | − | 0.890171i | \(-0.349415\pi\) | ||||
0.455627 | + | 0.890171i | \(0.349415\pi\) | |||||||
\(882\) | −49.6144 | − | 21.8199i | −1.67060 | − | 0.734715i | ||||
\(883\) | 56.3850 | 1.89751 | 0.948754 | − | 0.316017i | \(-0.102346\pi\) | ||||
0.948754 | + | 0.316017i | \(0.102346\pi\) | |||||||
\(884\) | 1.22954 | − | 16.4071i | 0.0413539 | − | 0.551829i | ||||
\(885\) | −27.2838 | + | 8.41595i | −0.917136 | + | 0.282899i | ||||
\(886\) | −52.6164 | − | 7.93064i | −1.76768 | − | 0.266435i | ||||
\(887\) | −31.7061 | − | 29.4189i | −1.06459 | − | 0.987791i | −0.0646369 | − | 0.997909i | \(-0.520589\pi\) |
−0.999949 | + | 0.0101177i | \(0.996779\pi\) | |||||||
\(888\) | −43.5110 | − | 190.634i | −1.46013 | − | 6.39726i | ||||
\(889\) | 12.9664 | − | 19.7407i | 0.434878 | − | 0.662081i | ||||
\(890\) | −11.6278 | + | 50.9445i | −0.389763 | + | 1.70766i | ||||
\(891\) | 7.51004 | − | 5.12026i | 0.251596 | − | 0.171535i | ||||
\(892\) | 98.4466 | − | 91.3451i | 3.29624 | − | 3.05846i | ||||
\(893\) | −29.0824 | − | 19.8280i | −0.973204 | − | 0.663519i | ||||
\(894\) | −83.3102 | + | 12.5570i | −2.78631 | + | 0.419969i | ||||
\(895\) | 28.8528 | − | 13.8948i | 0.964442 | − | 0.464451i | ||||
\(896\) | 3.31584 | + | 0.696928i | 0.110775 | + | 0.0232827i | ||||
\(897\) | −7.38403 | − | 3.55596i | −0.246546 | − | 0.118730i | ||||
\(898\) | −36.0853 | − | 11.1308i | −1.20418 | − | 0.371441i | ||||
\(899\) | 7.04329 | − | 17.9460i | 0.234907 | − | 0.598533i | ||||
\(900\) | 24.7801 | + | 42.9204i | 0.826003 | + | 1.43068i | ||||
\(901\) | −11.2268 | + | 19.4454i | −0.374020 | + | 0.647821i | ||||
\(902\) | 4.68499 | + | 5.87480i | 0.155993 | + | 0.195609i | ||||
\(903\) | −16.0253 | + | 17.8795i | −0.533288 | + | 0.594992i | ||||
\(904\) | −60.8153 | + | 76.2600i | −2.02269 | + | 2.53637i | ||||
\(905\) | −3.45842 | − | 8.81190i | −0.114962 | − | 0.292917i | ||||
\(906\) | 7.56087 | + | 100.893i | 0.251193 | + | 3.35194i | ||||
\(907\) | 0.0293326 | + | 0.391416i | 0.000973972 | + | 0.0129968i | 0.997670 | − | 0.0682301i | \(-0.0217352\pi\) |
−0.996696 | + | 0.0812269i | \(0.974116\pi\) | |||||||
\(908\) | −24.0817 | − | 61.3590i | −0.799178 | − | 2.03627i | ||||
\(909\) | −5.81261 | + | 7.28878i | −0.192792 | + | 0.241753i | ||||
\(910\) | 12.6832 | + | 0.730927i | 0.420443 | + | 0.0242300i | ||||
\(911\) | 30.8445 | + | 38.6778i | 1.02192 | + | 1.28145i | 0.958991 | + | 0.283435i | \(0.0914741\pi\) |
0.0629332 | + | 0.998018i | \(0.479955\pi\) | |||||||
\(912\) | −55.2693 | + | 95.7292i | −1.83015 | + | 3.16991i | ||||
\(913\) | 0.761053 | + | 1.31818i | 0.0251872 | + | 0.0436255i | ||||
\(914\) | −26.6311 | + | 67.8548i | −0.880877 | + | 2.24444i | ||||
\(915\) | −35.9042 | − | 11.0750i | −1.18696 | − | 0.366128i | ||||
\(916\) | 0.575734 | + | 0.277259i | 0.0190228 | + | 0.00916090i | ||||
\(917\) | 0.961466 | + | 55.7841i | 0.0317504 | + | 1.84215i | ||||
\(918\) | −0.396982 | + | 0.191176i | −0.0131024 | + | 0.00630976i | ||||
\(919\) | −1.55216 | + | 0.233950i | −0.0512010 | + | 0.00771731i | −0.174593 | − | 0.984641i | \(-0.555861\pi\) |
0.123392 | + | 0.992358i | \(0.460623\pi\) | |||||||
\(920\) | 16.6958 | + | 11.3830i | 0.550445 | + | 0.375287i | ||||
\(921\) | 4.72412 | − | 4.38334i | 0.155665 | − | 0.144436i | ||||
\(922\) | −25.2667 | + | 17.2265i | −0.832113 | + | 0.567325i | ||||
\(923\) | 0.873953 | − | 3.82904i | 0.0287665 | − | 0.126034i | ||||
\(924\) | −4.09287 | + | 30.7401i | −0.134646 | + | 1.01127i | ||||
\(925\) | 8.49433 | + | 37.2161i | 0.279292 | + | 1.22366i | ||||
\(926\) | −0.289653 | − | 0.268759i | −0.00951858 | − | 0.00883195i | ||||
\(927\) | −1.90866 | − | 0.287684i | −0.0626886 | − | 0.00944878i | ||||
\(928\) | −26.4781 | + | 8.16742i | −0.869187 | + | 0.268109i | ||||
\(929\) | −3.78276 | + | 50.4774i | −0.124108 | + | 1.65611i | 0.493590 | + | 0.869695i | \(0.335684\pi\) |
−0.617699 | + | 0.786415i | \(0.711935\pi\) | |||||||
\(930\) | −54.5070 | −1.78736 | ||||||||
\(931\) | 3.66656 | + | 33.4222i | 0.120167 | + | 1.09537i | ||||
\(932\) | −77.0314 | −2.52325 | ||||||||
\(933\) | −0.509017 | + | 6.79236i | −0.0166645 | + | 0.222372i | ||||
\(934\) | 4.31312 | − | 1.33042i | 0.141130 | − | 0.0435327i | ||||
\(935\) | 2.80150 | + | 0.422258i | 0.0916189 | + | 0.0138093i | ||||
\(936\) | −23.7070 | − | 21.9969i | −0.774887 | − | 0.718990i | ||||
\(937\) | 0.343566 | + | 1.50526i | 0.0112238 | + | 0.0491748i | 0.980230 | − | 0.197863i | \(-0.0634000\pi\) |
−0.969006 | + | 0.247038i | \(0.920543\pi\) | |||||||
\(938\) | −3.99694 | − | 4.16149i | −0.130505 | − | 0.135877i | ||||
\(939\) | 6.47000 | − | 28.3469i | 0.211140 | − | 0.925067i | ||||
\(940\) | −35.8266 | + | 24.4262i | −1.16854 | + | 0.796695i | ||||
\(941\) | −39.3709 | + | 36.5309i | −1.28346 | + | 1.19087i | −0.312956 | + | 0.949768i | \(0.601319\pi\) |
−0.970499 | + | 0.241105i | \(0.922490\pi\) | |||||||
\(942\) | −86.9466 | − | 59.2792i | −2.83287 | − | 1.93142i | ||||
\(943\) | −6.40215 | + | 0.964969i | −0.208483 | + | 0.0314237i | ||||
\(944\) | 80.3976 | − | 38.7174i | 2.61672 | − | 1.26015i | ||||
\(945\) | −0.107895 | − | 0.214509i | −0.00350981 | − | 0.00697797i | ||||
\(946\) | 8.72444 | + | 4.20147i | 0.283656 | + | 0.136601i | ||||
\(947\) | −46.0129 | − | 14.1931i | −1.49522 | − | 0.461214i | −0.564031 | − | 0.825754i | \(-0.690750\pi\) |
−0.931188 | + | 0.364540i | \(0.881226\pi\) | |||||||
\(948\) | 54.8699 | − | 139.806i | 1.78209 | − | 4.54070i | ||||
\(949\) | −5.56736 | − | 9.64296i | −0.180724 | − | 0.313024i | ||||
\(950\) | 21.7808 | − | 37.7255i | 0.706663 | − | 1.22398i | ||||
\(951\) | −36.4684 | − | 45.7299i | −1.18257 | − | 1.48289i | ||||
\(952\) | 12.3314 | − | 42.5685i | 0.399663 | − | 1.37965i | ||||
\(953\) | −17.0002 | + | 21.3176i | −0.550690 | + | 0.690544i | −0.976806 | − | 0.214125i | \(-0.931310\pi\) |
0.426116 | + | 0.904668i | \(0.359882\pi\) | |||||||
\(954\) | 27.6531 | + | 70.4589i | 0.895302 | + | 2.28119i | ||||
\(955\) | 0.838203 | + | 11.1850i | 0.0271236 | + | 0.361939i | ||||
\(956\) | 0.402871 | + | 5.37594i | 0.0130298 | + | 0.173870i | ||||
\(957\) | 2.48071 | + | 6.32076i | 0.0801901 | + | 0.204321i | ||||
\(958\) | −23.3345 | + | 29.2605i | −0.753903 | + | 0.945365i | ||||
\(959\) | 25.5614 | + | 14.1763i | 0.825422 | + | 0.457776i | ||||
\(960\) | 13.4493 | + | 16.8649i | 0.434075 | + | 0.544313i | ||||
\(961\) | −8.56212 | + | 14.8300i | −0.276198 | + | 0.478388i | ||||
\(962\) | −21.3600 | − | 36.9965i | −0.688673 | − | 1.19282i | ||||
\(963\) | −14.4424 | + | 36.7987i | −0.465401 | + | 1.18582i | ||||
\(964\) | −57.8435 | − | 17.8423i | −1.86301 | − | 0.574663i | ||||
\(965\) | −3.00218 | − | 1.44577i | −0.0966435 | − | 0.0465411i | ||||
\(966\) | −30.0030 | − | 23.0921i | −0.965330 | − | 0.742975i | ||||
\(967\) | −19.4483 | + | 9.36580i | −0.625415 | + | 0.301184i | −0.719619 | − | 0.694369i | \(-0.755684\pi\) |
0.0942043 | + | 0.995553i | \(0.469969\pi\) | |||||||
\(968\) | 7.21129 | − | 1.08693i | 0.231780 | − | 0.0349351i | ||||
\(969\) | −22.2725 | − | 15.1852i | −0.715497 | − | 0.487817i | ||||
\(970\) | −18.1504 | + | 16.8411i | −0.582773 | + | 0.540734i | ||||
\(971\) | 13.0601 | − | 8.90422i | 0.419118 | − | 0.285750i | −0.335341 | − | 0.942097i | \(-0.608852\pi\) |
0.754459 | + | 0.656347i | \(0.227899\pi\) | |||||||
\(972\) | −23.4715 | + | 102.836i | −0.752850 | + | 3.29845i | ||||
\(973\) | −54.9188 | + | 5.06870i | −1.76062 | + | 0.162495i | ||||
\(974\) | −14.6562 | − | 64.2132i | −0.469616 | − | 2.05752i | ||||
\(975\) | 9.30322 | + | 8.63212i | 0.297941 | + | 0.276449i | ||||
\(976\) | 116.117 | + | 17.5018i | 3.71681 | + | 0.560219i | ||||
\(977\) | 17.3410 | − | 5.34900i | 0.554788 | − | 0.171130i | −0.00466840 | − | 0.999989i | \(-0.501486\pi\) |
0.559457 | + | 0.828860i | \(0.311010\pi\) | |||||||
\(978\) | 10.0741 | − | 134.429i | 0.322134 | − | 4.29858i | ||||
\(979\) | −16.2494 | −0.519334 | ||||||||
\(980\) | 39.9769 | + | 10.8375i | 1.27702 | + | 0.346192i | ||||
\(981\) | −26.9629 | −0.860858 | ||||||||
\(982\) | 0.850768 | − | 11.3527i | 0.0271491 | − | 0.362280i | ||||
\(983\) | 40.0223 | − | 12.3452i | 1.27651 | − | 0.393752i | 0.418892 | − | 0.908036i | \(-0.362418\pi\) |
0.857620 | + | 0.514284i | \(0.171942\pi\) | |||||||
\(984\) | −50.7820 | − | 7.65416i | −1.61887 | − | 0.244006i | ||||
\(985\) | −1.85087 | − | 1.71736i | −0.0589738 | − | 0.0547197i | ||||
\(986\) | −3.70321 | − | 16.2248i | −0.117934 | − | 0.516704i | ||||
\(987\) | 40.6111 | − | 24.3895i | 1.29267 | − | 0.776326i | ||||
\(988\) | −7.65605 | + | 33.5434i | −0.243572 | + | 1.06716i | ||||
\(989\) | −6.89378 | + | 4.70010i | −0.219209 | + | 0.149454i | ||||
\(990\) | 7.00103 | − | 6.49600i | 0.222507 | − | 0.206457i | ||||
\(991\) | −36.4641 | − | 24.8608i | −1.15832 | − | 0.789730i | −0.177401 | − | 0.984139i | \(-0.556769\pi\) |
−0.980921 | + | 0.194409i | \(0.937721\pi\) | |||||||
\(992\) | 68.3962 | − | 10.3091i | 2.17158 | − | 0.327313i | ||||
\(993\) | −42.5524 | + | 20.4922i | −1.35036 | + | 0.650300i | ||||
\(994\) | 7.58929 | − | 16.4799i | 0.240718 | − | 0.522712i | ||||
\(995\) | −20.6204 | − | 9.93025i | −0.653710 | − | 0.314810i | ||||
\(996\) | −17.0483 | − | 5.25870i | −0.540196 | − | 0.166628i | ||||
\(997\) | −0.0706767 | + | 0.180081i | −0.00223835 | + | 0.00570323i | −0.931989 | − | 0.362488i | \(-0.881927\pi\) |
0.929750 | + | 0.368191i | \(0.120023\pi\) | |||||||
\(998\) | 29.4008 | + | 50.9237i | 0.930667 | + | 1.61196i | ||||
\(999\) | −0.403713 | + | 0.699251i | −0.0127729 | + | 0.0221233i |
(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 | 539.2.r.a.23.2 | ✓ | 276 | |
49.32 | even | 21 | inner | 539.2.r.a.375.2 | yes | 276 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
539.2.r.a.23.2 | ✓ | 276 | 1.1 | even | 1 | trivial | |
539.2.r.a.375.2 | yes | 276 | 49.32 | even | 21 | inner |