Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(311,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 1, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.311");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.bg (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 311.9 | ||
Character | \(\chi\) | \(=\) | 546.311 |
Dual form | 546.2.bg.b.467.9 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.500000 | + | 0.866025i | 0.353553 | + | 0.612372i | ||||
\(3\) | −0.280988 | − | 1.70911i | −0.162228 | − | 0.986753i | ||||
\(4\) | −0.500000 | + | 0.866025i | −0.250000 | + | 0.433013i | ||||
\(5\) | −0.0759308 | + | 0.0438386i | −0.0339573 | + | 0.0196052i | −0.516883 | − | 0.856056i | \(-0.672908\pi\) |
0.482925 | + | 0.875662i | \(0.339574\pi\) | |||||||
\(6\) | 1.33964 | − | 1.09790i | 0.546904 | − | 0.448214i | ||||
\(7\) | −2.62099 | − | 0.361112i | −0.990642 | − | 0.136488i | ||||
\(8\) | −1.00000 | −0.353553 | ||||||||
\(9\) | −2.84209 | + | 0.960476i | −0.947364 | + | 0.320159i | ||||
\(10\) | −0.0759308 | − | 0.0438386i | −0.0240114 | − | 0.0138630i | ||||
\(11\) | −2.83131 | + | 4.90398i | −0.853673 | + | 1.47860i | 0.0241978 | + | 0.999707i | \(0.492297\pi\) |
−0.877871 | + | 0.478898i | \(0.841036\pi\) | |||||||
\(12\) | 1.62062 | + | 0.611211i | 0.467834 | + | 0.176441i | ||||
\(13\) | −2.43301 | + | 2.66091i | −0.674797 | + | 0.738004i | ||||
\(14\) | −0.997764 | − | 2.45040i | −0.266664 | − | 0.654897i | ||||
\(15\) | 0.0962606 | + | 0.117456i | 0.0248544 | + | 0.0303269i | ||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | 1.33566 | − | 2.31343i | 0.323945 | − | 0.561089i | −0.657353 | − | 0.753583i | \(-0.728324\pi\) |
0.981298 | + | 0.192493i | \(0.0616574\pi\) | |||||||
\(18\) | −2.25284 | − | 1.98109i | −0.531000 | − | 0.466946i | ||||
\(19\) | 3.32692 | + | 5.76239i | 0.763247 | + | 1.32198i | 0.941168 | + | 0.337938i | \(0.109729\pi\) |
−0.177921 | + | 0.984045i | \(0.556937\pi\) | |||||||
\(20\) | − | 0.0876773i | − | 0.0196052i | ||||||
\(21\) | 0.119288 | + | 4.58102i | 0.0260307 | + | 0.999661i | ||||
\(22\) | −5.66263 | −1.20728 | ||||||||
\(23\) | 1.06303 | − | 0.613739i | 0.221656 | − | 0.127973i | −0.385061 | − | 0.922891i | \(-0.625819\pi\) |
0.606717 | + | 0.794918i | \(0.292486\pi\) | |||||||
\(24\) | 0.280988 | + | 1.70911i | 0.0573564 | + | 0.348870i | ||||
\(25\) | −2.49616 | + | 4.32347i | −0.499231 | + | 0.864694i | ||||
\(26\) | −3.52092 | − | 0.776597i | −0.690510 | − | 0.152303i | ||||
\(27\) | 2.44015 | + | 4.58756i | 0.469607 | + | 0.882876i | ||||
\(28\) | 1.62323 | − | 2.08929i | 0.306761 | − | 0.394839i | ||||
\(29\) | − | 5.84765i | − | 1.08588i | −0.839771 | − | 0.542940i | \(-0.817311\pi\) | ||
0.839771 | − | 0.542940i | \(-0.182689\pi\) | |||||||
\(30\) | −0.0535893 | + | 0.142092i | −0.00978402 | + | 0.0259423i | ||||
\(31\) | −0.441909 | + | 0.765409i | −0.0793692 | + | 0.137471i | −0.902978 | − | 0.429687i | \(-0.858624\pi\) |
0.823609 | + | 0.567158i | \(0.191957\pi\) | |||||||
\(32\) | 0.500000 | − | 0.866025i | 0.0883883 | − | 0.153093i | ||||
\(33\) | 9.17699 | + | 3.46106i | 1.59751 | + | 0.602493i | ||||
\(34\) | 2.67132 | 0.458127 | ||||||||
\(35\) | 0.214845 | − | 0.0874812i | 0.0363154 | − | 0.0147870i | ||||
\(36\) | 0.589249 | − | 2.94156i | 0.0982081 | − | 0.490260i | ||||
\(37\) | 0.456219 | − | 0.263398i | 0.0750019 | − | 0.0433024i | −0.462030 | − | 0.886864i | \(-0.652879\pi\) |
0.537032 | + | 0.843562i | \(0.319545\pi\) | |||||||
\(38\) | −3.32692 | + | 5.76239i | −0.539697 | + | 0.934783i | ||||
\(39\) | 5.23143 | + | 3.41060i | 0.837699 | + | 0.546133i | ||||
\(40\) | 0.0759308 | − | 0.0438386i | 0.0120057 | − | 0.00693150i | ||||
\(41\) | − | 8.99352i | − | 1.40455i | −0.711905 | − | 0.702276i | \(-0.752167\pi\) | ||
0.711905 | − | 0.702276i | \(-0.247833\pi\) | |||||||
\(42\) | −3.90764 | + | 2.39382i | −0.602962 | + | 0.369374i | ||||
\(43\) | −9.69720 | −1.47881 | −0.739405 | − | 0.673261i | \(-0.764893\pi\) | ||||
−0.739405 | + | 0.673261i | \(0.764893\pi\) | |||||||
\(44\) | −2.83131 | − | 4.90398i | −0.426836 | − | 0.739302i | ||||
\(45\) | 0.173696 | − | 0.197523i | 0.0258931 | − | 0.0294450i | ||||
\(46\) | 1.06303 | + | 0.613739i | 0.156735 | + | 0.0904909i | ||||
\(47\) | −7.45201 | + | 4.30242i | −1.08699 | + | 0.627572i | −0.932773 | − | 0.360465i | \(-0.882618\pi\) |
−0.154215 | + | 0.988037i | \(0.549285\pi\) | |||||||
\(48\) | −1.33964 | + | 1.09790i | −0.193360 | + | 0.158468i | ||||
\(49\) | 6.73920 | + | 1.89294i | 0.962742 | + | 0.270420i | ||||
\(50\) | −4.99231 | −0.706020 | ||||||||
\(51\) | −4.32920 | − | 1.63274i | −0.606210 | − | 0.228629i | ||||
\(52\) | −1.08791 | − | 3.43751i | −0.150866 | − | 0.476696i | ||||
\(53\) | −12.1291 | − | 7.00275i | −1.66606 | − | 0.961902i | −0.969729 | − | 0.244184i | \(-0.921480\pi\) |
−0.696334 | − | 0.717718i | \(-0.745187\pi\) | |||||||
\(54\) | −2.75286 | + | 4.40701i | −0.374617 | + | 0.599718i | ||||
\(55\) | − | 0.496484i | − | 0.0669458i | ||||||
\(56\) | 2.62099 | + | 0.361112i | 0.350245 | + | 0.0482556i | ||||
\(57\) | 8.91371 | − | 7.30522i | 1.18065 | − | 0.967600i | ||||
\(58\) | 5.06421 | − | 2.92382i | 0.664963 | − | 0.383917i | ||||
\(59\) | 3.11423 | + | 1.79800i | 0.405438 | + | 0.234080i | 0.688828 | − | 0.724925i | \(-0.258126\pi\) |
−0.283390 | + | 0.959005i | \(0.591459\pi\) | |||||||
\(60\) | −0.149850 | + | 0.0246363i | −0.0193455 | + | 0.00318053i | ||||
\(61\) | 2.01240 | − | 1.16186i | 0.257661 | − | 0.148761i | −0.365606 | − | 0.930770i | \(-0.619138\pi\) |
0.623267 | + | 0.782009i | \(0.285805\pi\) | |||||||
\(62\) | −0.883818 | −0.112245 | ||||||||
\(63\) | 7.79594 | − | 1.49109i | 0.982196 | − | 0.187859i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 0.0680900 | − | 0.308705i | 0.00844552 | − | 0.0382901i | ||||
\(66\) | 1.59113 | + | 9.67803i | 0.195854 | + | 1.19128i | ||||
\(67\) | −6.54039 | − | 3.77610i | −0.799036 | − | 0.461324i | 0.0440981 | − | 0.999027i | \(-0.485959\pi\) |
−0.843134 | + | 0.537704i | \(0.819292\pi\) | |||||||
\(68\) | 1.33566 | + | 2.31343i | 0.161972 | + | 0.280545i | ||||
\(69\) | −1.34764 | − | 1.64437i | −0.162237 | − | 0.197959i | ||||
\(70\) | 0.183183 | + | 0.142320i | 0.0218946 | + | 0.0170105i | ||||
\(71\) | 2.65797 | 0.315443 | 0.157722 | − | 0.987484i | \(-0.449585\pi\) | ||||
0.157722 | + | 0.987484i | \(0.449585\pi\) | |||||||
\(72\) | 2.84209 | − | 0.960476i | 0.334944 | − | 0.113193i | ||||
\(73\) | −4.11174 | + | 7.12173i | −0.481242 | + | 0.833536i | −0.999768 | − | 0.0215258i | \(-0.993148\pi\) |
0.518526 | + | 0.855062i | \(0.326481\pi\) | |||||||
\(74\) | 0.456219 | + | 0.263398i | 0.0530343 | + | 0.0306194i | ||||
\(75\) | 8.09066 | + | 3.05136i | 0.934229 | + | 0.352340i | ||||
\(76\) | −6.65383 | −0.763247 | ||||||||
\(77\) | 9.19173 | − | 11.8309i | 1.04750 | − | 1.34825i | ||||
\(78\) | −0.337951 | + | 6.23585i | −0.0382654 | + | 0.706071i | ||||
\(79\) | 7.19370 | + | 12.4599i | 0.809355 | + | 1.40184i | 0.913312 | + | 0.407261i | \(0.133516\pi\) |
−0.103957 | + | 0.994582i | \(0.533150\pi\) | |||||||
\(80\) | 0.0759308 | + | 0.0438386i | 0.00848932 | + | 0.00490131i | ||||
\(81\) | 7.15497 | − | 5.45952i | 0.794997 | − | 0.606614i | ||||
\(82\) | 7.78862 | − | 4.49676i | 0.860109 | − | 0.496584i | ||||
\(83\) | 2.86138i | 0.314077i | 0.987592 | + | 0.157039i | \(0.0501947\pi\) | ||||
−0.987592 | + | 0.157039i | \(0.949805\pi\) | |||||||
\(84\) | −4.02693 | − | 2.18721i | −0.439374 | − | 0.238644i | ||||
\(85\) | 0.234214i | 0.0254041i | ||||||||
\(86\) | −4.84860 | − | 8.39803i | −0.522838 | − | 0.905582i | ||||
\(87\) | −9.99425 | + | 1.64312i | −1.07150 | + | 0.176161i | ||||
\(88\) | 2.83131 | − | 4.90398i | 0.301819 | − | 0.522766i | ||||
\(89\) | 2.93597 | − | 1.69508i | 0.311212 | − | 0.179678i | −0.336257 | − | 0.941770i | \(-0.609161\pi\) |
0.647469 | + | 0.762092i | \(0.275828\pi\) | |||||||
\(90\) | 0.257908 | + | 0.0516637i | 0.0271859 | + | 0.00544584i | ||||
\(91\) | 7.33780 | − | 6.09563i | 0.769210 | − | 0.638996i | ||||
\(92\) | 1.22748i | 0.127973i | ||||||||
\(93\) | 1.43234 | + | 0.540199i | 0.148526 | + | 0.0560160i | ||||
\(94\) | −7.45201 | − | 4.30242i | −0.768616 | − | 0.443761i | ||||
\(95\) | −0.505231 | − | 0.291695i | −0.0518356 | − | 0.0299273i | ||||
\(96\) | −1.62062 | − | 0.611211i | −0.165404 | − | 0.0623814i | ||||
\(97\) | −10.4779 | −1.06387 | −0.531934 | − | 0.846786i | \(-0.678535\pi\) | ||||
−0.531934 | + | 0.846786i | \(0.678535\pi\) | |||||||
\(98\) | 1.73026 | + | 6.78279i | 0.174783 | + | 0.685165i | ||||
\(99\) | 3.33670 | − | 16.6570i | 0.335350 | − | 1.67409i | ||||
\(100\) | −2.49616 | − | 4.32347i | −0.249616 | − | 0.432347i | ||||
\(101\) | 1.67265 | − | 2.89711i | 0.166435 | − | 0.288273i | −0.770729 | − | 0.637163i | \(-0.780108\pi\) |
0.937164 | + | 0.348890i | \(0.113441\pi\) | |||||||
\(102\) | −0.750608 | − | 4.56557i | −0.0743213 | − | 0.452059i | ||||
\(103\) | 10.7681 | − | 6.21697i | 1.06101 | − | 0.612577i | 0.135301 | − | 0.990804i | \(-0.456800\pi\) |
0.925713 | + | 0.378228i | \(0.123466\pi\) | |||||||
\(104\) | 2.43301 | − | 2.66091i | 0.238577 | − | 0.260924i | ||||
\(105\) | −0.209883 | − | 0.342611i | −0.0204825 | − | 0.0334354i | ||||
\(106\) | − | 14.0055i | − | 1.36033i | ||||||
\(107\) | 2.33402 | − | 1.34755i | 0.225639 | − | 0.130272i | −0.382920 | − | 0.923782i | \(-0.625081\pi\) |
0.608558 | + | 0.793509i | \(0.291748\pi\) | |||||||
\(108\) | −5.19301 | − | 0.180546i | −0.499698 | − | 0.0173730i | ||||
\(109\) | 6.64244 | + | 3.83502i | 0.636231 | + | 0.367328i | 0.783161 | − | 0.621819i | \(-0.213606\pi\) |
−0.146930 | + | 0.989147i | \(0.546939\pi\) | |||||||
\(110\) | 0.429968 | − | 0.248242i | 0.0409958 | − | 0.0236689i | ||||
\(111\) | −0.578367 | − | 0.705715i | −0.0548962 | − | 0.0669835i | ||||
\(112\) | 0.997764 | + | 2.45040i | 0.0942798 | + | 0.231541i | ||||
\(113\) | 7.92944i | 0.745939i | 0.927844 | + | 0.372970i | \(0.121660\pi\) | ||||
−0.927844 | + | 0.372970i | \(0.878340\pi\) | |||||||
\(114\) | 10.7834 | + | 4.06689i | 1.00995 | + | 0.380900i | ||||
\(115\) | −0.0538110 | + | 0.0932033i | −0.00501790 | + | 0.00869126i | ||||
\(116\) | 5.06421 | + | 2.92382i | 0.470200 | + | 0.271470i | ||||
\(117\) | 4.35911 | − | 9.89940i | 0.403000 | − | 0.915200i | ||||
\(118\) | 3.59600i | 0.331039i | ||||||||
\(119\) | −4.33616 | + | 5.58116i | −0.397495 | + | 0.511624i | ||||
\(120\) | −0.0962606 | − | 0.117456i | −0.00878735 | − | 0.0107222i | ||||
\(121\) | −10.5327 | − | 18.2431i | −0.957515 | − | 1.65846i | ||||
\(122\) | 2.01240 | + | 1.16186i | 0.182194 | + | 0.105190i | ||||
\(123\) | −15.3709 | + | 2.52707i | −1.38595 | + | 0.227858i | ||||
\(124\) | −0.441909 | − | 0.765409i | −0.0396846 | − | 0.0687357i | ||||
\(125\) | − | 0.876099i | − | 0.0783607i | ||||||
\(126\) | 5.18929 | + | 6.00594i | 0.462299 | + | 0.535051i | ||||
\(127\) | 4.80829 | 0.426667 | 0.213334 | − | 0.976979i | \(-0.431568\pi\) | ||||
0.213334 | + | 0.976979i | \(0.431568\pi\) | |||||||
\(128\) | 0.500000 | + | 0.866025i | 0.0441942 | + | 0.0765466i | ||||
\(129\) | 2.72480 | + | 16.5736i | 0.239905 | + | 1.45922i | ||||
\(130\) | 0.301391 | − | 0.0953849i | 0.0264338 | − | 0.00836581i | ||||
\(131\) | 9.89815 | + | 17.1441i | 0.864805 | + | 1.49789i | 0.867240 | + | 0.497890i | \(0.165892\pi\) |
−0.00243479 | + | 0.999997i | \(0.500775\pi\) | |||||||
\(132\) | −7.58586 | + | 6.21697i | −0.660264 | + | 0.541118i | ||||
\(133\) | −6.63895 | − | 16.3046i | −0.575670 | − | 1.41379i | ||||
\(134\) | − | 7.55219i | − | 0.652410i | ||||||
\(135\) | −0.386395 | − | 0.241364i | −0.0332556 | − | 0.0207733i | ||||
\(136\) | −1.33566 | + | 2.31343i | −0.114532 | + | 0.198375i | ||||
\(137\) | 6.29121 | − | 10.8967i | 0.537495 | − | 0.930968i | −0.461543 | − | 0.887118i | \(-0.652704\pi\) |
0.999038 | − | 0.0438504i | \(-0.0139625\pi\) | |||||||
\(138\) | 0.750248 | − | 1.98928i | 0.0638653 | − | 0.169339i | ||||
\(139\) | 19.6014i | 1.66257i | 0.555848 | + | 0.831284i | \(0.312394\pi\) | ||||
−0.555848 | + | 0.831284i | \(0.687606\pi\) | |||||||
\(140\) | −0.0316613 | + | 0.229801i | −0.00267587 | + | 0.0194218i | ||||
\(141\) | 9.44722 | + | 11.5274i | 0.795599 | + | 0.970778i | ||||
\(142\) | 1.32899 | + | 2.30187i | 0.111526 | + | 0.193169i | ||||
\(143\) | −6.16042 | − | 19.4653i | −0.515160 | − | 1.62777i | ||||
\(144\) | 2.25284 | + | 1.98109i | 0.187737 | + | 0.165090i | ||||
\(145\) | 0.256353 | + | 0.444016i | 0.0212890 | + | 0.0368735i | ||||
\(146\) | −8.22347 | −0.680579 | ||||||||
\(147\) | 1.34161 | − | 12.0499i | 0.110654 | − | 0.993859i | ||||
\(148\) | 0.526796i | 0.0433024i | ||||||||
\(149\) | 6.40667 | + | 11.0967i | 0.524855 | + | 0.909076i | 0.999581 | + | 0.0289419i | \(0.00921379\pi\) |
−0.474726 | + | 0.880134i | \(0.657453\pi\) | |||||||
\(150\) | 1.40278 | + | 8.53240i | 0.114536 | + | 0.696667i | ||||
\(151\) | −3.56296 | − | 2.05707i | −0.289949 | − | 0.167402i | 0.347970 | − | 0.937506i | \(-0.386871\pi\) |
−0.637919 | + | 0.770104i | \(0.720205\pi\) | |||||||
\(152\) | −3.32692 | − | 5.76239i | −0.269849 | − | 0.467391i | ||||
\(153\) | −1.57407 | + | 7.85785i | −0.127256 | + | 0.635269i | ||||
\(154\) | 14.8417 | + | 2.04484i | 1.19598 | + | 0.164778i | ||||
\(155\) | − | 0.0774908i | − | 0.00622421i | ||||||
\(156\) | −5.56938 | + | 2.82525i | −0.445907 | + | 0.226201i | ||||
\(157\) | 16.7506 | + | 9.67095i | 1.33684 | + | 0.771826i | 0.986338 | − | 0.164736i | \(-0.0526771\pi\) |
0.350504 | + | 0.936561i | \(0.386010\pi\) | |||||||
\(158\) | −7.19370 | + | 12.4599i | −0.572300 | + | 0.991253i | ||||
\(159\) | −8.56031 | + | 22.6977i | −0.678877 | + | 1.80004i | ||||
\(160\) | 0.0876773i | 0.00693150i | ||||||||
\(161\) | −3.00781 | + | 1.22473i | −0.237049 | + | 0.0965225i | ||||
\(162\) | 8.30557 | + | 3.46662i | 0.652547 | + | 0.272364i | ||||
\(163\) | −15.2764 | + | 8.81983i | −1.19654 | + | 0.690823i | −0.959782 | − | 0.280746i | \(-0.909418\pi\) |
−0.236758 | + | 0.971569i | \(0.576085\pi\) | |||||||
\(164\) | 7.78862 | + | 4.49676i | 0.608189 | + | 0.351138i | ||||
\(165\) | −0.848544 | + | 0.139506i | −0.0660590 | + | 0.0108605i | ||||
\(166\) | −2.47803 | + | 1.43069i | −0.192332 | + | 0.111043i | ||||
\(167\) | − | 15.5348i | − | 1.20212i | −0.799205 | − | 0.601058i | \(-0.794746\pi\) | ||
0.799205 | − | 0.601058i | \(-0.205254\pi\) | |||||||
\(168\) | −0.119288 | − | 4.58102i | −0.00920326 | − | 0.353434i | ||||
\(169\) | −1.16088 | − | 12.9481i | −0.0892987 | − | 0.996005i | ||||
\(170\) | −0.202835 | + | 0.117107i | −0.0155568 | + | 0.00898170i | ||||
\(171\) | −14.9900 | − | 13.1818i | −1.14632 | − | 1.00804i | ||||
\(172\) | 4.84860 | − | 8.39803i | 0.369702 | − | 0.640343i | ||||
\(173\) | 8.15099 | + | 14.1179i | 0.619708 | + | 1.07337i | 0.989539 | + | 0.144267i | \(0.0460823\pi\) |
−0.369831 | + | 0.929099i | \(0.620584\pi\) | |||||||
\(174\) | −6.42011 | − | 7.83372i | −0.486707 | − | 0.593873i | ||||
\(175\) | 8.10366 | − | 10.4304i | 0.612579 | − | 0.788463i | ||||
\(176\) | 5.66263 | 0.426836 | ||||||||
\(177\) | 2.19792 | − | 5.82777i | 0.165206 | − | 0.438042i | ||||
\(178\) | 2.93597 | + | 1.69508i | 0.220060 | + | 0.127052i | ||||
\(179\) | 7.78809 | + | 4.49646i | 0.582109 | + | 0.336081i | 0.761971 | − | 0.647611i | \(-0.224232\pi\) |
−0.179862 | + | 0.983692i | \(0.557565\pi\) | |||||||
\(180\) | 0.0842120 | + | 0.249187i | 0.00627679 | + | 0.0185733i | ||||
\(181\) | 7.10802i | 0.528335i | 0.964477 | + | 0.264167i | \(0.0850972\pi\) | ||||
−0.964477 | + | 0.264167i | \(0.914903\pi\) | |||||||
\(182\) | 8.94787 | + | 3.30690i | 0.663260 | + | 0.245124i | ||||
\(183\) | −2.55120 | − | 3.11293i | −0.188590 | − | 0.230115i | ||||
\(184\) | −1.06303 | + | 0.613739i | −0.0783674 | + | 0.0452454i | ||||
\(185\) | −0.0230940 | + | 0.0400000i | −0.00169791 | + | 0.00294086i | ||||
\(186\) | 0.248342 | + | 1.51054i | 0.0182093 | + | 0.110758i | ||||
\(187\) | 7.56334 | + | 13.1001i | 0.553086 | + | 0.957973i | ||||
\(188\) | − | 8.60484i | − | 0.627572i | ||||||
\(189\) | −4.73899 | − | 12.9051i | −0.344711 | − | 0.938709i | ||||
\(190\) | − | 0.583390i | − | 0.0423236i | ||||||
\(191\) | −12.3294 | + | 7.11841i | −0.892127 | + | 0.515070i | −0.874638 | − | 0.484777i | \(-0.838901\pi\) |
−0.0174894 | + | 0.999847i | \(0.505567\pi\) | |||||||
\(192\) | −0.280988 | − | 1.70911i | −0.0202786 | − | 0.123344i | ||||
\(193\) | 12.9152 | + | 7.45659i | 0.929656 | + | 0.536737i | 0.886703 | − | 0.462340i | \(-0.152990\pi\) |
0.0429533 | + | 0.999077i | \(0.486323\pi\) | |||||||
\(194\) | −5.23894 | − | 9.07411i | −0.376134 | − | 0.651483i | ||||
\(195\) | −0.546742 | − | 0.0296306i | −0.0391530 | − | 0.00212189i | ||||
\(196\) | −5.00894 | + | 4.88984i | −0.357781 | + | 0.349275i | ||||
\(197\) | 5.59743 | 0.398800 | 0.199400 | − | 0.979918i | \(-0.436101\pi\) | ||||
0.199400 | + | 0.979918i | \(0.436101\pi\) | |||||||
\(198\) | 16.0937 | − | 5.43882i | 1.14373 | − | 0.386520i | ||||
\(199\) | 0.509204 | + | 0.293989i | 0.0360965 | + | 0.0208403i | 0.517940 | − | 0.855417i | \(-0.326699\pi\) |
−0.481843 | + | 0.876257i | \(0.660032\pi\) | |||||||
\(200\) | 2.49616 | − | 4.32347i | 0.176505 | − | 0.305715i | ||||
\(201\) | −4.61598 | + | 12.2393i | −0.325586 | + | 0.863291i | ||||
\(202\) | 3.34530 | 0.235374 | ||||||||
\(203\) | −2.11166 | + | 15.3266i | −0.148209 | + | 1.07572i | ||||
\(204\) | 3.57859 | − | 2.93283i | 0.250552 | − | 0.205339i | ||||
\(205\) | 0.394264 | + | 0.682885i | 0.0275366 | + | 0.0476948i | ||||
\(206\) | 10.7681 | + | 6.21697i | 0.750250 | + | 0.433157i | ||||
\(207\) | −2.43174 | + | 2.76531i | −0.169018 | + | 0.192203i | ||||
\(208\) | 3.52092 | + | 0.776597i | 0.244132 | + | 0.0538473i | ||||
\(209\) | −37.6782 | −2.60625 | ||||||||
\(210\) | 0.191768 | − | 0.353070i | 0.0132333 | − | 0.0243641i | ||||
\(211\) | −16.2218 | −1.11676 | −0.558379 | − | 0.829586i | \(-0.688577\pi\) | ||||
−0.558379 | + | 0.829586i | \(0.688577\pi\) | |||||||
\(212\) | 12.1291 | − | 7.00275i | 0.833031 | − | 0.480951i | ||||
\(213\) | −0.746857 | − | 4.54276i | −0.0511738 | − | 0.311264i | ||||
\(214\) | 2.33402 | + | 1.34755i | 0.159551 | + | 0.0921166i | ||||
\(215\) | 0.736316 | − | 0.425112i | 0.0502163 | − | 0.0289924i | ||||
\(216\) | −2.44015 | − | 4.58756i | −0.166031 | − | 0.312144i | ||||
\(217\) | 1.43464 | − | 1.84655i | 0.0973896 | − | 0.125352i | ||||
\(218\) | 7.67003i | 0.519480i | ||||||||
\(219\) | 13.3272 | + | 5.02627i | 0.900565 | + | 0.339644i | ||||
\(220\) | 0.429968 | + | 0.248242i | 0.0289884 | + | 0.0167365i | ||||
\(221\) | 2.90615 | + | 9.18268i | 0.195489 | + | 0.617694i | ||||
\(222\) | 0.321983 | − | 0.853738i | 0.0216101 | − | 0.0572991i | ||||
\(223\) | 18.4233 | 1.23371 | 0.616856 | − | 0.787076i | \(-0.288406\pi\) | ||||
0.616856 | + | 0.787076i | \(0.288406\pi\) | |||||||
\(224\) | −1.62323 | + | 2.08929i | −0.108456 | + | 0.139597i | ||||
\(225\) | 2.94171 | − | 14.6852i | 0.196114 | − | 0.979013i | ||||
\(226\) | −6.86710 | + | 3.96472i | −0.456793 | + | 0.263729i | ||||
\(227\) | 3.73888 | + | 2.15864i | 0.248158 | + | 0.143274i | 0.618921 | − | 0.785454i | \(-0.287570\pi\) |
−0.370762 | + | 0.928728i | \(0.620904\pi\) | |||||||
\(228\) | 1.86965 | + | 11.3721i | 0.123820 | + | 0.753137i | ||||
\(229\) | −6.51189 | − | 11.2789i | −0.430317 | − | 0.745332i | 0.566583 | − | 0.824005i | \(-0.308265\pi\) |
−0.996900 | + | 0.0786729i | \(0.974932\pi\) | |||||||
\(230\) | −0.107622 | −0.00709638 | ||||||||
\(231\) | −22.8030 | − | 12.3853i | −1.50033 | − | 0.814894i | ||||
\(232\) | 5.84765i | 0.383917i | ||||||||
\(233\) | −14.2073 | + | 8.20260i | −0.930753 | + | 0.537370i | −0.887050 | − | 0.461674i | \(-0.847249\pi\) |
−0.0437031 | + | 0.999045i | \(0.513916\pi\) | |||||||
\(234\) | 10.7527 | − | 1.17460i | 0.702925 | − | 0.0767862i | ||||
\(235\) | 0.377225 | − | 0.653372i | 0.0246074 | − | 0.0426213i | ||||
\(236\) | −3.11423 | + | 1.79800i | −0.202719 | + | 0.117040i | ||||
\(237\) | 19.2739 | − | 15.7959i | 1.25197 | − | 1.02605i | ||||
\(238\) | −7.00150 | − | 0.964645i | −0.453840 | − | 0.0625287i | ||||
\(239\) | −15.3927 | −0.995673 | −0.497836 | − | 0.867271i | \(-0.665872\pi\) | ||||
−0.497836 | + | 0.867271i | \(0.665872\pi\) | |||||||
\(240\) | 0.0535893 | − | 0.142092i | 0.00345917 | − | 0.00917199i | ||||
\(241\) | −3.89705 | + | 6.74990i | −0.251031 | + | 0.434799i | −0.963810 | − | 0.266590i | \(-0.914103\pi\) |
0.712779 | + | 0.701389i | \(0.247436\pi\) | |||||||
\(242\) | 10.5327 | − | 18.2431i | 0.677065 | − | 1.17271i | ||||
\(243\) | −11.3414 | − | 10.6945i | −0.727549 | − | 0.686056i | ||||
\(244\) | 2.32372i | 0.148761i | ||||||||
\(245\) | −0.594696 | + | 0.151705i | −0.0379938 | + | 0.00969205i | ||||
\(246\) | −9.87395 | − | 12.0480i | −0.629540 | − | 0.768155i | ||||
\(247\) | −23.4276 | − | 5.16735i | −1.49066 | − | 0.328791i | ||||
\(248\) | 0.441909 | − | 0.765409i | 0.0280613 | − | 0.0486035i | ||||
\(249\) | 4.89040 | − | 0.804013i | 0.309917 | − | 0.0509522i | ||||
\(250\) | 0.758724 | − | 0.438049i | 0.0479859 | − | 0.0277047i | ||||
\(251\) | 7.91930 | 0.499862 | 0.249931 | − | 0.968264i | \(-0.419592\pi\) | ||||
0.249931 | + | 0.968264i | \(0.419592\pi\) | |||||||
\(252\) | −2.60665 | + | 7.49702i | −0.164203 | + | 0.472268i | ||||
\(253\) | 6.95075i | 0.436990i | ||||||||
\(254\) | 2.40415 | + | 4.16411i | 0.150850 | + | 0.261279i | ||||
\(255\) | 0.400297 | − | 0.0658113i | 0.0250676 | − | 0.00412126i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −4.92741 | − | 8.53452i | −0.307363 | − | 0.532369i | 0.670421 | − | 0.741981i | \(-0.266113\pi\) |
−0.977785 | + | 0.209612i | \(0.932780\pi\) | |||||||
\(258\) | −12.9907 | + | 10.6465i | −0.808767 | + | 0.662823i | ||||
\(259\) | −1.29086 | + | 0.525618i | −0.0802102 | + | 0.0326603i | ||||
\(260\) | 0.233301 | + | 0.213320i | 0.0144687 | + | 0.0132296i | ||||
\(261\) | 5.61653 | + | 16.6195i | 0.347654 | + | 1.02872i | ||||
\(262\) | −9.89815 | + | 17.1441i | −0.611510 | + | 1.05917i | ||||
\(263\) | −20.2604 | − | 11.6974i | −1.24931 | − | 0.721290i | −0.278340 | − | 0.960483i | \(-0.589784\pi\) |
−0.970972 | + | 0.239192i | \(0.923117\pi\) | |||||||
\(264\) | −9.17699 | − | 3.46106i | −0.564804 | − | 0.213013i | ||||
\(265\) | 1.22796 | 0.0754333 | ||||||||
\(266\) | 10.8007 | − | 13.9018i | 0.662233 | − | 0.852373i | ||||
\(267\) | −3.72205 | − | 4.54159i | −0.227786 | − | 0.277941i | ||||
\(268\) | 6.54039 | − | 3.77610i | 0.399518 | − | 0.230662i | ||||
\(269\) | 0.859882 | − | 1.48936i | 0.0524279 | − | 0.0908078i | −0.838620 | − | 0.544716i | \(-0.816637\pi\) |
0.891048 | + | 0.453908i | \(0.149971\pi\) | |||||||
\(270\) | 0.0158298 | − | 0.455310i | 0.000963370 | − | 0.0277093i | ||||
\(271\) | −8.00242 | − | 13.8606i | −0.486113 | − | 0.841972i | 0.513760 | − | 0.857934i | \(-0.328252\pi\) |
−0.999873 | + | 0.0159623i | \(0.994919\pi\) | |||||||
\(272\) | −2.67132 | −0.161972 | ||||||||
\(273\) | −12.4799 | − | 10.8283i | −0.755319 | − | 0.655357i | ||||
\(274\) | 12.5824 | 0.760132 | ||||||||
\(275\) | −14.1348 | − | 24.4822i | −0.852360 | − | 1.47633i | ||||
\(276\) | 2.09789 | − | 0.344906i | 0.126278 | − | 0.0207609i | ||||
\(277\) | 6.12127 | − | 10.6023i | 0.367791 | − | 0.637033i | −0.621429 | − | 0.783471i | \(-0.713447\pi\) |
0.989220 | + | 0.146438i | \(0.0467808\pi\) | |||||||
\(278\) | −16.9753 | + | 9.80069i | −1.01811 | + | 0.587806i | ||||
\(279\) | 0.520789 | − | 2.59981i | 0.0311788 | − | 0.155646i | ||||
\(280\) | −0.214845 | + | 0.0874812i | −0.0128394 | + | 0.00522800i | ||||
\(281\) | −8.09237 | −0.482751 | −0.241375 | − | 0.970432i | \(-0.577598\pi\) | ||||
−0.241375 | + | 0.970432i | \(0.577598\pi\) | |||||||
\(282\) | −5.25937 | + | 13.9452i | −0.313191 | + | 0.830425i | ||||
\(283\) | −2.90561 | − | 1.67755i | −0.172721 | − | 0.0997203i | 0.411147 | − | 0.911569i | \(-0.365128\pi\) |
−0.583868 | + | 0.811849i | \(0.698461\pi\) | |||||||
\(284\) | −1.32899 | + | 2.30187i | −0.0788608 | + | 0.136591i | ||||
\(285\) | −0.356574 | + | 0.945456i | −0.0211216 | + | 0.0560040i | ||||
\(286\) | 13.7772 | − | 15.0677i | 0.814666 | − | 0.890974i | ||||
\(287\) | −3.24767 | + | 23.5719i | −0.191704 | + | 1.39141i | ||||
\(288\) | −0.589249 | + | 2.94156i | −0.0347218 | + | 0.173333i | ||||
\(289\) | 4.93203 | + | 8.54252i | 0.290119 | + | 0.502501i | ||||
\(290\) | −0.256353 | + | 0.444016i | −0.0150536 | + | 0.0260735i | ||||
\(291\) | 2.94416 | + | 17.9078i | 0.172590 | + | 1.04978i | ||||
\(292\) | −4.11174 | − | 7.12173i | −0.240621 | − | 0.416768i | ||||
\(293\) | − | 21.2050i | − | 1.23881i | −0.785072 | − | 0.619404i | \(-0.787374\pi\) | ||
0.785072 | − | 0.619404i | \(-0.212626\pi\) | |||||||
\(294\) | 11.1063 | − | 4.86308i | 0.647734 | − | 0.283621i | ||||
\(295\) | −0.315288 | −0.0183568 | ||||||||
\(296\) | −0.456219 | + | 0.263398i | −0.0265172 | + | 0.0153097i | ||||
\(297\) | −29.4061 | − | 1.02236i | −1.70631 | − | 0.0593236i | ||||
\(298\) | −6.40667 | + | 11.0967i | −0.371129 | + | 0.642813i | ||||
\(299\) | −0.953256 | + | 4.32185i | −0.0551282 | + | 0.249939i | ||||
\(300\) | −6.68788 | + | 5.48104i | −0.386125 | + | 0.316448i | ||||
\(301\) | 25.4163 | + | 3.50178i | 1.46497 | + | 0.201839i | ||||
\(302\) | − | 4.11415i | − | 0.236743i | ||||||
\(303\) | −5.42147 | − | 2.04468i | −0.311455 | − | 0.117464i | ||||
\(304\) | 3.32692 | − | 5.76239i | 0.190812 | − | 0.330496i | ||||
\(305\) | −0.101869 | + | 0.176442i | −0.00583298 | + | 0.0101030i | ||||
\(306\) | −7.59213 | + | 2.56574i | −0.434013 | + | 0.146674i | ||||
\(307\) | −19.0700 | −1.08838 | −0.544192 | − | 0.838961i | \(-0.683164\pi\) | ||||
−0.544192 | + | 0.838961i | \(0.683164\pi\) | |||||||
\(308\) | 5.64996 | + | 13.8757i | 0.321936 | + | 0.790642i | ||||
\(309\) | −13.6512 | − | 16.6570i | −0.776589 | − | 0.947582i | ||||
\(310\) | 0.0671090 | − | 0.0387454i | 0.00381153 | − | 0.00220059i | ||||
\(311\) | 1.91162 | − | 3.31103i | 0.108398 | − | 0.187751i | −0.806723 | − | 0.590929i | \(-0.798761\pi\) |
0.915121 | + | 0.403178i | \(0.132095\pi\) | |||||||
\(312\) | −5.23143 | − | 3.41060i | −0.296171 | − | 0.193087i | ||||
\(313\) | −16.6808 | + | 9.63067i | −0.942855 | + | 0.544358i | −0.890854 | − | 0.454289i | \(-0.849893\pi\) |
−0.0520010 | + | 0.998647i | \(0.516560\pi\) | |||||||
\(314\) | 19.3419i | 1.09153i | ||||||||
\(315\) | −0.526584 | + | 0.454983i | −0.0296697 | + | 0.0256354i | ||||
\(316\) | −14.3874 | −0.809355 | ||||||||
\(317\) | 12.3152 | + | 21.3306i | 0.691692 | + | 1.19805i | 0.971283 | + | 0.237927i | \(0.0764679\pi\) |
−0.279591 | + | 0.960119i | \(0.590199\pi\) | |||||||
\(318\) | −23.9369 | + | 3.93538i | −1.34231 | + | 0.220685i | ||||
\(319\) | 28.6767 | + | 16.5565i | 1.60559 | + | 0.926987i | ||||
\(320\) | −0.0759308 | + | 0.0438386i | −0.00424466 | + | 0.00245065i | ||||
\(321\) | −2.95894 | − | 3.61045i | −0.165152 | − | 0.201516i | ||||
\(322\) | −2.56456 | − | 1.99248i | −0.142917 | − | 0.111036i | ||||
\(323\) | 17.7745 | 0.989000 | ||||||||
\(324\) | 1.15060 | + | 8.92615i | 0.0639223 | + | 0.495897i | ||||
\(325\) | −5.43118 | − | 17.1611i | −0.301268 | − | 0.951927i | ||||
\(326\) | −15.2764 | − | 8.81983i | −0.846081 | − | 0.488485i | ||||
\(327\) | 4.68801 | − | 12.4302i | 0.259247 | − | 0.687394i | ||||
\(328\) | 8.99352i | 0.496584i | ||||||||
\(329\) | 21.0853 | − | 8.58560i | 1.16247 | − | 0.473339i | ||||
\(330\) | −0.545087 | − | 0.665107i | −0.0300061 | − | 0.0366130i | ||||
\(331\) | 3.59847 | − | 2.07757i | 0.197790 | − | 0.114194i | −0.397834 | − | 0.917457i | \(-0.630238\pi\) |
0.595624 | + | 0.803263i | \(0.296905\pi\) | |||||||
\(332\) | −2.47803 | − | 1.43069i | −0.135999 | − | 0.0785193i | ||||
\(333\) | −1.04363 | + | 1.18679i | −0.0571904 | + | 0.0650356i | ||||
\(334\) | 13.4535 | − | 7.76738i | 0.736143 | − | 0.425012i | ||||
\(335\) | 0.662156 | 0.0361774 | ||||||||
\(336\) | 3.90764 | − | 2.39382i | 0.213179 | − | 0.130593i | ||||
\(337\) | −1.62397 | −0.0884634 | −0.0442317 | − | 0.999021i | \(-0.514084\pi\) | ||||
−0.0442317 | + | 0.999021i | \(0.514084\pi\) | |||||||
\(338\) | 10.6329 | − | 7.47939i | 0.578354 | − | 0.406825i | ||||
\(339\) | 13.5523 | − | 2.22808i | 0.736058 | − | 0.121013i | ||||
\(340\) | −0.202835 | − | 0.117107i | −0.0110003 | − | 0.00635102i | ||||
\(341\) | −2.50237 | − | 4.33422i | −0.135511 | − | 0.234711i | ||||
\(342\) | 3.92076 | − | 19.5727i | 0.212011 | − | 1.05837i | ||||
\(343\) | −16.9798 | − | 7.39499i | −0.916824 | − | 0.399292i | ||||
\(344\) | 9.69720 | 0.522838 | ||||||||
\(345\) | 0.174415 | + | 0.0657797i | 0.00939017 | + | 0.00354146i | ||||
\(346\) | −8.15099 | + | 14.1179i | −0.438200 | + | 0.758984i | ||||
\(347\) | −4.31492 | − | 2.49122i | −0.231637 | − | 0.133736i | 0.379690 | − | 0.925114i | \(-0.376031\pi\) |
−0.611327 | + | 0.791378i | \(0.709364\pi\) | |||||||
\(348\) | 3.57414 | − | 9.47684i | 0.191594 | − | 0.508012i | ||||
\(349\) | −18.4655 | −0.988437 | −0.494218 | − | 0.869338i | \(-0.664546\pi\) | ||||
−0.494218 | + | 0.869338i | \(0.664546\pi\) | |||||||
\(350\) | 13.0848 | + | 1.80278i | 0.699413 | + | 0.0963629i | ||||
\(351\) | −18.1440 | − | 4.66857i | −0.968455 | − | 0.249190i | ||||
\(352\) | 2.83131 | + | 4.90398i | 0.150909 | + | 0.261383i | ||||
\(353\) | 17.6657 | + | 10.1993i | 0.940249 | + | 0.542853i | 0.890038 | − | 0.455885i | \(-0.150677\pi\) |
0.0502108 | + | 0.998739i | \(0.484011\pi\) | |||||||
\(354\) | 6.14595 | − | 1.01043i | 0.326654 | − | 0.0537039i | ||||
\(355\) | −0.201822 | + | 0.116522i | −0.0107116 | + | 0.00618434i | ||||
\(356\) | 3.39016i | 0.179678i | ||||||||
\(357\) | 10.7572 | + | 5.84272i | 0.569332 | + | 0.309230i | ||||
\(358\) | 8.99291i | 0.475290i | ||||||||
\(359\) | 1.49774 | + | 2.59416i | 0.0790477 | + | 0.136915i | 0.902839 | − | 0.429978i | \(-0.141479\pi\) |
−0.823792 | + | 0.566893i | \(0.808145\pi\) | |||||||
\(360\) | −0.173696 | + | 0.197523i | −0.00915459 | + | 0.0104104i | ||||
\(361\) | −12.6368 | + | 21.8875i | −0.665092 | + | 1.15197i | ||||
\(362\) | −6.15572 | + | 3.55401i | −0.323538 | + | 0.186795i | ||||
\(363\) | −28.2199 | + | 23.1275i | −1.48116 | + | 1.21388i | ||||
\(364\) | 1.61007 | + | 9.40253i | 0.0843908 | + | 0.492827i | ||||
\(365\) | − | 0.721012i | − | 0.0377395i | ||||||
\(366\) | 1.42028 | − | 3.76587i | 0.0742393 | − | 0.196845i | ||||
\(367\) | 0.373545 | + | 0.215666i | 0.0194989 | + | 0.0112577i | 0.509718 | − | 0.860342i | \(-0.329750\pi\) |
−0.490219 | + | 0.871599i | \(0.663083\pi\) | |||||||
\(368\) | −1.06303 | − | 0.613739i | −0.0554141 | − | 0.0319934i | ||||
\(369\) | 8.63807 | + | 25.5604i | 0.449680 | + | 1.33062i | ||||
\(370\) | −0.0461880 | −0.00240120 | ||||||||
\(371\) | 29.2615 | + | 22.7341i | 1.51918 | + | 1.18030i | ||||
\(372\) | −1.18399 | + | 0.970340i | −0.0613872 | + | 0.0503098i | ||||
\(373\) | 5.60905 | + | 9.71516i | 0.290425 | + | 0.503032i | 0.973910 | − | 0.226933i | \(-0.0728698\pi\) |
−0.683485 | + | 0.729965i | \(0.739536\pi\) | |||||||
\(374\) | −7.56334 | + | 13.1001i | −0.391091 | + | 0.677389i | ||||
\(375\) | −1.49735 | + | 0.246173i | −0.0773226 | + | 0.0127123i | ||||
\(376\) | 7.45201 | − | 4.30242i | 0.384308 | − | 0.221880i | ||||
\(377\) | 15.5601 | + | 14.2274i | 0.801384 | + | 0.732749i | ||||
\(378\) | 8.80666 | − | 10.5566i | 0.452966 | − | 0.542975i | ||||
\(379\) | 11.4767i | 0.589518i | 0.955572 | + | 0.294759i | \(0.0952393\pi\) | ||||
−0.955572 | + | 0.294759i | \(0.904761\pi\) | |||||||
\(380\) | 0.505231 | − | 0.291695i | 0.0259178 | − | 0.0149636i | ||||
\(381\) | −1.35107 | − | 8.21789i | −0.0692175 | − | 0.421015i | ||||
\(382\) | −12.3294 | − | 7.11841i | −0.630829 | − | 0.364209i | ||||
\(383\) | −0.325127 | + | 0.187712i | −0.0166132 | + | 0.00959165i | −0.508284 | − | 0.861190i | \(-0.669720\pi\) |
0.491670 | + | 0.870781i | \(0.336386\pi\) | |||||||
\(384\) | 1.33964 | − | 1.09790i | 0.0683630 | − | 0.0560268i | ||||
\(385\) | −0.179286 | + | 1.30128i | −0.00913727 | + | 0.0663194i | ||||
\(386\) | 14.9132i | 0.759061i | ||||||||
\(387\) | 27.5603 | − | 9.31394i | 1.40097 | − | 0.473454i | ||||
\(388\) | 5.23894 | − | 9.07411i | 0.265967 | − | 0.460668i | ||||
\(389\) | 28.3112 | + | 16.3455i | 1.43544 | + | 0.828750i | 0.997528 | − | 0.0702694i | \(-0.0223859\pi\) |
0.437909 | + | 0.899019i | \(0.355719\pi\) | |||||||
\(390\) | −0.247710 | − | 0.488308i | −0.0125433 | − | 0.0247264i | ||||
\(391\) | − | 3.27898i | − | 0.165825i | ||||||
\(392\) | −6.73920 | − | 1.89294i | −0.340381 | − | 0.0956081i | ||||
\(393\) | 26.5198 | − | 21.7343i | 1.33775 | − | 1.09635i | ||||
\(394\) | 2.79871 | + | 4.84751i | 0.140997 | + | 0.244214i | ||||
\(395\) | −1.09245 | − | 0.630724i | −0.0549669 | − | 0.0317352i | ||||
\(396\) | 12.7570 | + | 11.2181i | 0.641064 | + | 0.563733i | ||||
\(397\) | 9.57692 | + | 16.5877i | 0.480652 | + | 0.832514i | 0.999754 | − | 0.0221990i | \(-0.00706673\pi\) |
−0.519102 | + | 0.854713i | \(0.673733\pi\) | |||||||
\(398\) | 0.587979i | 0.0294727i | ||||||||
\(399\) | −26.0008 | + | 15.9281i | −1.30167 | + | 0.797401i | ||||
\(400\) | 4.99231 | 0.249616 | ||||||||
\(401\) | −2.06325 | − | 3.57365i | −0.103034 | − | 0.178459i | 0.809900 | − | 0.586569i | \(-0.199522\pi\) |
−0.912933 | + | 0.408109i | \(0.866188\pi\) | |||||||
\(402\) | −12.9075 | + | 2.12207i | −0.643768 | + | 0.105839i | ||||
\(403\) | −0.961513 | − | 3.03813i | −0.0478964 | − | 0.151340i | ||||
\(404\) | 1.67265 | + | 2.89711i | 0.0832174 | + | 0.144137i | ||||
\(405\) | −0.303944 | + | 0.728210i | −0.0151031 | + | 0.0361850i | ||||
\(406\) | −14.3291 | + | 5.83457i | −0.711140 | + | 0.289565i | ||||
\(407\) | 2.98305i | 0.147864i | ||||||||
\(408\) | 4.32920 | + | 1.63274i | 0.214327 | + | 0.0808326i | ||||
\(409\) | 16.1361 | − | 27.9486i | 0.797879 | − | 1.38197i | −0.123116 | − | 0.992392i | \(-0.539289\pi\) |
0.920995 | − | 0.389575i | \(-0.127378\pi\) | |||||||
\(410\) | −0.394264 | + | 0.682885i | −0.0194713 | + | 0.0337253i | ||||
\(411\) | −20.3914 | − | 7.69051i | −1.00583 | − | 0.379345i | ||||
\(412\) | 12.4339i | 0.612577i | ||||||||
\(413\) | −7.51309 | − | 5.83713i | −0.369695 | − | 0.287227i | ||||
\(414\) | −3.61070 | − | 0.723290i | −0.177456 | − | 0.0355478i | ||||
\(415\) | −0.125439 | − | 0.217267i | −0.00615756 | − | 0.0106652i | ||||
\(416\) | 1.08791 | + | 3.43751i | 0.0533391 | + | 0.168538i | ||||
\(417\) | 33.5009 | − | 5.50775i | 1.64054 | − | 0.269716i | ||||
\(418\) | −18.8391 | − | 32.6303i | −0.921450 | − | 1.59600i | ||||
\(419\) | 4.72613 | 0.230886 | 0.115443 | − | 0.993314i | \(-0.463171\pi\) | ||||
0.115443 | + | 0.993314i | \(0.463171\pi\) | |||||||
\(420\) | 0.401652 | − | 0.0104588i | 0.0195986 | − | 0.000510339i | ||||
\(421\) | − | 28.1593i | − | 1.37240i | −0.727413 | − | 0.686200i | \(-0.759277\pi\) | ||
0.727413 | − | 0.686200i | \(-0.240723\pi\) | |||||||
\(422\) | −8.11092 | − | 14.0485i | −0.394834 | − | 0.683872i | ||||
\(423\) | 17.0469 | − | 19.3854i | 0.828850 | − | 0.942548i | ||||
\(424\) | 12.1291 | + | 7.00275i | 0.589042 | + | 0.340084i | ||||
\(425\) | 6.66803 | + | 11.5494i | 0.323447 | + | 0.560226i | ||||
\(426\) | 3.56071 | − | 2.91818i | 0.172517 | − | 0.141386i | ||||
\(427\) | −5.69404 | + | 2.31852i | −0.275554 | + | 0.112201i | ||||
\(428\) | 2.69510i | 0.130272i | ||||||||
\(429\) | −31.5373 | + | 15.9983i | −1.52264 | + | 0.772407i | ||||
\(430\) | 0.736316 | + | 0.425112i | 0.0355083 | + | 0.0205007i | ||||
\(431\) | 18.2440 | − | 31.5996i | 0.878783 | − | 1.52210i | 0.0261063 | − | 0.999659i | \(-0.491689\pi\) |
0.852677 | − | 0.522438i | \(-0.174978\pi\) | |||||||
\(432\) | 2.75286 | − | 4.40701i | 0.132447 | − | 0.212032i | ||||
\(433\) | − | 4.54367i | − | 0.218355i | −0.994022 | − | 0.109177i | \(-0.965178\pi\) | ||
0.994022 | − | 0.109177i | \(-0.0348216\pi\) | |||||||
\(434\) | 2.31648 | + | 0.319157i | 0.111195 | + | 0.0153200i | ||||
\(435\) | 0.686839 | − | 0.562898i | 0.0329314 | − | 0.0269889i | ||||
\(436\) | −6.64244 | + | 3.83502i | −0.318115 | + | 0.183664i | ||||
\(437\) | 7.07321 | + | 4.08372i | 0.338357 | + | 0.195351i | ||||
\(438\) | 2.31070 | + | 14.0548i | 0.110409 | + | 0.671564i | ||||
\(439\) | −19.3010 | + | 11.1434i | −0.921185 | + | 0.531847i | −0.884013 | − | 0.467462i | \(-0.845168\pi\) |
−0.0371724 | + | 0.999309i | \(0.511835\pi\) | |||||||
\(440\) | 0.496484i | 0.0236689i | ||||||||
\(441\) | −20.9715 | + | 1.09292i | −0.998645 | + | 0.0520438i | ||||
\(442\) | −6.49936 | + | 7.10814i | −0.309143 | + | 0.338100i | ||||
\(443\) | −22.9471 | + | 13.2485i | −1.09025 | + | 0.629457i | −0.933643 | − | 0.358204i | \(-0.883389\pi\) |
−0.156608 | + | 0.987661i | \(0.550056\pi\) | |||||||
\(444\) | 0.900351 | − | 0.148023i | 0.0427287 | − | 0.00702487i | ||||
\(445\) | −0.148620 | + | 0.257418i | −0.00704527 | + | 0.0122028i | ||||
\(446\) | 9.21163 | + | 15.9550i | 0.436183 | + | 0.755491i | ||||
\(447\) | 17.1652 | − | 14.0677i | 0.811887 | − | 0.665380i | ||||
\(448\) | −2.62099 | − | 0.361112i | −0.123830 | − | 0.0170609i | ||||
\(449\) | −41.7613 | −1.97084 | −0.985420 | − | 0.170141i | \(-0.945578\pi\) | ||||
−0.985420 | + | 0.170141i | \(0.945578\pi\) | |||||||
\(450\) | 14.1886 | − | 4.79500i | 0.668857 | − | 0.226038i | ||||
\(451\) | 44.1040 | + | 25.4635i | 2.07678 | + | 1.19903i | ||||
\(452\) | −6.86710 | − | 3.96472i | −0.323001 | − | 0.186485i | ||||
\(453\) | −2.51461 | + | 6.66748i | −0.118147 | + | 0.313266i | ||||
\(454\) | 4.31729i | 0.202620i | ||||||||
\(455\) | −0.289940 | + | 0.784525i | −0.0135926 | + | 0.0367791i | ||||
\(456\) | −8.91371 | + | 7.30522i | −0.417423 | + | 0.342098i | ||||
\(457\) | −17.3505 | + | 10.0173i | −0.811621 | + | 0.468590i | −0.847519 | − | 0.530766i | \(-0.821904\pi\) |
0.0358974 | + | 0.999355i | \(0.488571\pi\) | |||||||
\(458\) | 6.51189 | − | 11.2789i | 0.304280 | − | 0.527029i | ||||
\(459\) | 13.8722 | + | 0.482296i | 0.647499 | + | 0.0225116i | ||||
\(460\) | −0.0538110 | − | 0.0932033i | −0.00250895 | − | 0.00434563i | ||||
\(461\) | 8.77765i | 0.408816i | 0.978886 | + | 0.204408i | \(0.0655269\pi\) | ||||
−0.978886 | + | 0.204408i | \(0.934473\pi\) | |||||||
\(462\) | −0.675482 | − | 25.9406i | −0.0314263 | − | 1.20687i | ||||
\(463\) | 17.9312i | 0.833334i | 0.909059 | + | 0.416667i | \(0.136802\pi\) | ||||
−0.909059 | + | 0.416667i | \(0.863198\pi\) | |||||||
\(464\) | −5.06421 | + | 2.92382i | −0.235100 | + | 0.135735i | ||||
\(465\) | −0.132440 | + | 0.0217740i | −0.00614176 | + | 0.00100974i | ||||
\(466\) | −14.2073 | − | 8.20260i | −0.658142 | − | 0.379978i | ||||
\(467\) | 8.47219 | + | 14.6743i | 0.392046 | + | 0.679044i | 0.992719 | − | 0.120451i | \(-0.0384339\pi\) |
−0.600673 | + | 0.799495i | \(0.705101\pi\) | |||||||
\(468\) | 6.39358 | + | 8.72480i | 0.295543 | + | 0.403304i | ||||
\(469\) | 15.7787 | + | 12.2589i | 0.728593 | + | 0.566065i | ||||
\(470\) | 0.754449 | 0.0348001 | ||||||||
\(471\) | 11.8220 | − | 31.3459i | 0.544728 | − | 1.44434i | ||||
\(472\) | −3.11423 | − | 1.79800i | −0.143344 | − | 0.0827597i | ||||
\(473\) | 27.4558 | − | 47.5549i | 1.26242 | − | 2.18658i | ||||
\(474\) | 23.3166 | + | 8.79373i | 1.07097 | + | 0.403910i | ||||
\(475\) | −33.2180 | −1.52415 | ||||||||
\(476\) | −2.66534 | − | 6.54580i | −0.122166 | − | 0.300026i | ||||
\(477\) | 41.1981 | + | 8.25273i | 1.88633 | + | 0.377866i | ||||
\(478\) | −7.69636 | − | 13.3305i | −0.352023 | − | 0.609723i | ||||
\(479\) | 7.22604 | + | 4.17195i | 0.330166 | + | 0.190621i | 0.655915 | − | 0.754835i | \(-0.272283\pi\) |
−0.325749 | + | 0.945456i | \(0.605616\pi\) | |||||||
\(480\) | 0.149850 | − | 0.0246363i | 0.00683968 | − | 0.00112449i | ||||
\(481\) | −0.409108 | + | 1.85481i | −0.0186537 | + | 0.0845720i | ||||
\(482\) | −7.79411 | −0.355012 | ||||||||
\(483\) | 2.93836 | + | 4.79654i | 0.133700 | + | 0.218250i | ||||
\(484\) | 21.0653 | 0.957515 | ||||||||
\(485\) | 0.795594 | − | 0.459336i | 0.0361260 | − | 0.0208574i | ||||
\(486\) | 3.59106 | − | 15.1692i | 0.162894 | − | 0.688088i | ||||
\(487\) | −12.4028 | − | 7.16075i | −0.562023 | − | 0.324484i | 0.191934 | − | 0.981408i | \(-0.438524\pi\) |
−0.753957 | + | 0.656924i | \(0.771857\pi\) | |||||||
\(488\) | −2.01240 | + | 1.16186i | −0.0910970 | + | 0.0525949i | ||||
\(489\) | 19.3665 | + | 23.6307i | 0.875784 | + | 1.06862i | ||||
\(490\) | −0.428728 | − | 0.439170i | −0.0193680 | − | 0.0198397i | ||||
\(491\) | 7.65264i | 0.345359i | 0.984978 | + | 0.172679i | \(0.0552424\pi\) | ||||
−0.984978 | + | 0.172679i | \(0.944758\pi\) | |||||||
\(492\) | 5.49694 | − | 14.5751i | 0.247821 | − | 0.657097i | ||||
\(493\) | −13.5281 | − | 7.81046i | −0.609276 | − | 0.351766i | ||||
\(494\) | −7.23876 | − | 22.8726i | −0.325687 | − | 1.02909i | ||||
\(495\) | 0.476861 | + | 1.41105i | 0.0214333 | + | 0.0634221i | ||||
\(496\) | 0.883818 | 0.0396846 | ||||||||
\(497\) | −6.96652 | − | 0.959825i | −0.312491 | − | 0.0430540i | ||||
\(498\) | 3.14150 | + | 3.83321i | 0.140774 | + | 0.171770i | ||||
\(499\) | −23.5183 | + | 13.5783i | −1.05283 | + | 0.607849i | −0.923439 | − | 0.383745i | \(-0.874634\pi\) |
−0.129386 | + | 0.991594i | \(0.541301\pi\) | |||||||
\(500\) | 0.758724 | + | 0.438049i | 0.0339312 | + | 0.0195902i | ||||
\(501\) | −26.5506 | + | 4.36508i | −1.18619 | + | 0.195017i | ||||
\(502\) | 3.95965 | + | 6.85831i | 0.176728 | + | 0.306101i | ||||
\(503\) | 27.6274 | 1.23185 | 0.615923 | − | 0.787806i | \(-0.288783\pi\) | ||||
0.615923 | + | 0.787806i | \(0.288783\pi\) | |||||||
\(504\) | −7.79594 | + | 1.49109i | −0.347259 | + | 0.0664183i | ||||
\(505\) | 0.293307i | 0.0130520i | ||||||||
\(506\) | −6.01952 | + | 3.47537i | −0.267600 | + | 0.154499i | ||||
\(507\) | −21.8034 | + | 5.62232i | −0.968324 | + | 0.249696i | ||||
\(508\) | −2.40415 | + | 4.16411i | −0.106667 | + | 0.184752i | ||||
\(509\) | 12.2242 | − | 7.05762i | 0.541826 | − | 0.312823i | −0.203993 | − | 0.978972i | \(-0.565392\pi\) |
0.745819 | + | 0.666149i | \(0.232058\pi\) | |||||||
\(510\) | 0.257143 | + | 0.313761i | 0.0113865 | + | 0.0138936i | ||||
\(511\) | 13.3486 | − | 17.1812i | 0.590506 | − | 0.760052i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | −18.3171 | + | 29.3235i | −0.808720 | + | 1.29466i | ||||
\(514\) | 4.92741 | − | 8.53452i | 0.217339 | − | 0.376442i | ||||
\(515\) | −0.545087 | + | 0.944119i | −0.0240194 | + | 0.0416029i | ||||
\(516\) | −15.7155 | − | 5.92704i | −0.691837 | − | 0.260923i | ||||
\(517\) | − | 48.7260i | − | 2.14297i | ||||||
\(518\) | −1.10063 | − | 0.855110i | −0.0483589 | − | 0.0375714i | ||||
\(519\) | 21.8387 | − | 17.8979i | 0.958613 | − | 0.785629i | ||||
\(520\) | −0.0680900 | + | 0.308705i | −0.00298594 | + | 0.0135376i | ||||
\(521\) | 3.15726 | − | 5.46854i | 0.138322 | − | 0.239581i | −0.788539 | − | 0.614984i | \(-0.789162\pi\) |
0.926862 | + | 0.375403i | \(0.122496\pi\) | |||||||
\(522\) | −11.5847 | + | 13.1738i | −0.507048 | + | 0.576603i | ||||
\(523\) | 29.7281 | − | 17.1636i | 1.29992 | − | 0.750510i | 0.319531 | − | 0.947576i | \(-0.396475\pi\) |
0.980390 | + | 0.197066i | \(0.0631414\pi\) | |||||||
\(524\) | −19.7963 | −0.864805 | ||||||||
\(525\) | −20.1037 | − | 10.9192i | −0.877396 | − | 0.476553i | ||||
\(526\) | − | 23.3947i | − | 1.02006i | ||||||
\(527\) | 1.18048 | + | 2.04465i | 0.0514225 | + | 0.0890664i | ||||
\(528\) | −1.59113 | − | 9.67803i | −0.0692450 | − | 0.421182i | ||||
\(529\) | −10.7466 | + | 18.6137i | −0.467246 | + | 0.809293i | ||||
\(530\) | 0.613982 | + | 1.06345i | 0.0266697 | + | 0.0461933i | ||||
\(531\) | −10.5779 | − | 2.11894i | −0.459040 | − | 0.0919542i | ||||
\(532\) | 17.4396 | + | 2.40278i | 0.756104 | + | 0.104174i | ||||
\(533\) | 23.9310 | + | 21.8814i | 1.03656 | + | 0.947787i | ||||
\(534\) | 2.07210 | − | 5.49418i | 0.0896688 | − | 0.237756i | ||||
\(535\) | −0.118149 | + | 0.204641i | −0.00510805 | + | 0.00884740i | ||||
\(536\) | 6.54039 | + | 3.77610i | 0.282502 | + | 0.163103i | ||||
\(537\) | 5.49657 | − | 14.5741i | 0.237194 | − | 0.628920i | ||||
\(538\) | 1.71976 | 0.0741443 | ||||||||
\(539\) | −28.3637 | + | 27.6894i | −1.22171 | + | 1.19266i | ||||
\(540\) | 0.402224 | − | 0.213946i | 0.0173090 | − | 0.00920676i | ||||
\(541\) | 8.13741 | − | 4.69814i | 0.349855 | − | 0.201989i | −0.314767 | − | 0.949169i | \(-0.601926\pi\) |
0.664621 | + | 0.747180i | \(0.268593\pi\) | |||||||
\(542\) | 8.00242 | − | 13.8606i | 0.343733 | − | 0.595364i | ||||
\(543\) | 12.1484 | − | 1.99727i | 0.521336 | − | 0.0857109i | ||||
\(544\) | −1.33566 | − | 2.31343i | −0.0572659 | − | 0.0991875i | ||||
\(545\) | −0.672488 | −0.0288062 | ||||||||
\(546\) | 3.13761 | − | 16.2221i | 0.134277 | − | 0.694240i | ||||
\(547\) | −11.4919 | −0.491360 | −0.245680 | − | 0.969351i | \(-0.579011\pi\) | ||||
−0.245680 | + | 0.969351i | \(0.579011\pi\) | |||||||
\(548\) | 6.29121 | + | 10.8967i | 0.268747 | + | 0.465484i | ||||
\(549\) | −4.60348 | + | 5.23497i | −0.196472 | + | 0.223423i | ||||
\(550\) | 14.1348 | − | 24.4822i | 0.602710 | − | 1.04392i | ||||
\(551\) | 33.6964 | − | 19.4546i | 1.43552 | − | 0.828795i | ||||
\(552\) | 1.34764 | + | 1.64437i | 0.0573595 | + | 0.0699892i | ||||
\(553\) | −14.3552 | − | 35.2549i | −0.610446 | − | 1.49919i | ||||
\(554\) | 12.2425 | 0.520135 | ||||||||
\(555\) | 0.0748534 | + | 0.0282306i | 0.00317735 | + | 0.00119832i | ||||
\(556\) | −16.9753 | − | 9.80069i | −0.719913 | − | 0.415642i | ||||
\(557\) | −3.51222 | + | 6.08334i | −0.148818 | + | 0.257760i | −0.930791 | − | 0.365553i | \(-0.880880\pi\) |
0.781973 | + | 0.623312i | \(0.214213\pi\) | |||||||
\(558\) | 2.51189 | − | 0.848886i | 0.106337 | − | 0.0359362i | ||||
\(559\) | 23.5934 | − | 25.8034i | 0.997896 | − | 1.09137i | ||||
\(560\) | −0.183183 | − | 0.142320i | −0.00774091 | − | 0.00601413i | ||||
\(561\) | 20.2642 | − | 16.6075i | 0.855557 | − | 0.701170i | ||||
\(562\) | −4.04619 | − | 7.00820i | −0.170678 | − | 0.295623i | ||||
\(563\) | 19.9568 | − | 34.5661i | 0.841078 | − | 1.45679i | −0.0479070 | − | 0.998852i | \(-0.515255\pi\) |
0.888985 | − | 0.457937i | \(-0.151412\pi\) | |||||||
\(564\) | −14.7066 | + | 2.41786i | −0.619259 | + | 0.101810i | ||||
\(565\) | −0.347616 | − | 0.602089i | −0.0146243 | − | 0.0253301i | ||||
\(566\) | − | 3.35511i | − | 0.141026i | ||||||
\(567\) | −20.7246 | + | 11.7256i | −0.870352 | + | 0.492430i | ||||
\(568\) | −2.65797 | −0.111526 | ||||||||
\(569\) | −31.7330 | + | 18.3210i | −1.33032 | + | 0.768058i | −0.985348 | − | 0.170557i | \(-0.945443\pi\) |
−0.344968 | + | 0.938615i | \(0.612110\pi\) | |||||||
\(570\) | −0.997076 | + | 0.163926i | −0.0417629 | + | 0.00686609i | ||||
\(571\) | −2.72588 | + | 4.72136i | −0.114075 | + | 0.197583i | −0.917409 | − | 0.397945i | \(-0.869724\pi\) |
0.803335 | + | 0.595528i | \(0.203057\pi\) | |||||||
\(572\) | 19.9377 | + | 4.39758i | 0.833636 | + | 0.183872i | ||||
\(573\) | 15.6305 | + | 19.0721i | 0.652975 | + | 0.796750i | ||||
\(574\) | −22.0377 | + | 8.97341i | −0.919837 | + | 0.374543i | ||||
\(575\) | 6.12795i | 0.255553i | ||||||||
\(576\) | −2.84209 | + | 0.960476i | −0.118420 | + | 0.0400199i | ||||
\(577\) | 12.5609 | − | 21.7561i | 0.522917 | − | 0.905719i | −0.476727 | − | 0.879051i | \(-0.658177\pi\) |
0.999644 | − | 0.0266678i | \(-0.00848964\pi\) | |||||||
\(578\) | −4.93203 | + | 8.54252i | −0.205145 | + | 0.355322i | ||||
\(579\) | 9.11510 | − | 24.1687i | 0.378811 | − | 1.00442i | ||||
\(580\) | −0.512706 | −0.0212890 | ||||||||
\(581\) | 1.03328 | − | 7.49965i | 0.0428676 | − | 0.311138i | ||||
\(582\) | −14.0365 | + | 11.5036i | −0.581834 | + | 0.476841i | ||||
\(583\) | 68.6827 | − | 39.6540i | 2.84455 | − | 1.64230i | ||||
\(584\) | 4.11174 | − | 7.12173i | 0.170145 | − | 0.294699i | ||||
\(585\) | 0.102986 | + | 0.942767i | 0.00425795 | + | 0.0389786i | ||||
\(586\) | 18.3641 | − | 10.6025i | 0.758612 | − | 0.437985i | ||||
\(587\) | 22.1376i | 0.913717i | 0.889539 | + | 0.456859i | \(0.151025\pi\) | ||||
−0.889539 | + | 0.456859i | \(0.848975\pi\) | |||||||
\(588\) | 9.76471 | + | 7.18682i | 0.402690 | + | 0.296379i | ||||
\(589\) | −5.88078 | −0.242313 | ||||||||
\(590\) | −0.157644 | − | 0.273047i | −0.00649010 | − | 0.0112412i | ||||
\(591\) | −1.57281 | − | 9.56660i | −0.0646967 | − | 0.393517i | ||||
\(592\) | −0.456219 | − | 0.263398i | −0.0187505 | − | 0.0108256i | ||||
\(593\) | −6.33623 | + | 3.65823i | −0.260198 | + | 0.150225i | −0.624425 | − | 0.781085i | \(-0.714667\pi\) |
0.364227 | + | 0.931310i | \(0.381333\pi\) | |||||||
\(594\) | −13.8177 | − | 25.9776i | −0.566945 | − | 1.06587i | ||||
\(595\) | 0.0845775 | − | 0.613873i | 0.00346734 | − | 0.0251663i | ||||
\(596\) | −12.8133 | −0.524855 | ||||||||
\(597\) | 0.359379 | − | 0.952892i | 0.0147084 | − | 0.0389993i | ||||
\(598\) | −4.21946 | + | 1.33538i | −0.172547 | + | 0.0546079i | ||||
\(599\) | −35.3925 | − | 20.4339i | −1.44610 | − | 0.834906i | −0.447854 | − | 0.894107i | \(-0.647811\pi\) |
−0.998246 | + | 0.0592009i | \(0.981145\pi\) | |||||||
\(600\) | −8.09066 | − | 3.05136i | −0.330300 | − | 0.124571i | ||||
\(601\) | 6.67453i | 0.272260i | 0.990691 | + | 0.136130i | \(0.0434664\pi\) | ||||
−0.990691 | + | 0.136130i | \(0.956534\pi\) | |||||||
\(602\) | 9.67552 | + | 23.7620i | 0.394345 | + | 0.968469i | ||||
\(603\) | 22.2152 | + | 4.45012i | 0.904674 | + | 0.181223i | ||||
\(604\) | 3.56296 | − | 2.05707i | 0.144975 | − | 0.0837011i | ||||
\(605\) | 1.59951 | + | 0.923476i | 0.0650292 | + | 0.0375446i | ||||
\(606\) | −0.939988 | − | 5.71747i | −0.0381844 | − | 0.232256i | ||||
\(607\) | 19.4541 | − | 11.2318i | 0.789617 | − | 0.455886i | −0.0502106 | − | 0.998739i | \(-0.515989\pi\) |
0.839828 | + | 0.542853i | \(0.182656\pi\) | |||||||
\(608\) | 6.65383 | 0.269849 | ||||||||
\(609\) | 26.7882 | − | 0.697553i | 1.08551 | − | 0.0282663i | ||||
\(610\) | −0.203737 | −0.00824908 | ||||||||
\(611\) | 6.68250 | − | 30.2970i | 0.270345 | − | 1.22568i | ||||
\(612\) | −6.01806 | − | 5.29211i | −0.243266 | − | 0.213921i | ||||
\(613\) | 7.57215 | + | 4.37178i | 0.305836 | + | 0.176575i | 0.645062 | − | 0.764130i | \(-0.276832\pi\) |
−0.339225 | + | 0.940705i | \(0.610165\pi\) | |||||||
\(614\) | −9.53501 | − | 16.5151i | −0.384802 | − | 0.666496i | ||||
\(615\) | 1.05634 | − | 0.865721i | 0.0425957 | − | 0.0349093i | ||||
\(616\) | −9.19173 | + | 11.8309i | −0.370345 | + | 0.476679i | ||||
\(617\) | −33.2275 | −1.33769 | −0.668845 | − | 0.743402i | \(-0.733211\pi\) | ||||
−0.668845 | + | 0.743402i | \(0.733211\pi\) | |||||||
\(618\) | 7.59976 | − | 20.1508i | 0.305707 | − | 0.810582i | ||||
\(619\) | −9.75542 | + | 16.8969i | −0.392103 | + | 0.679143i | −0.992727 | − | 0.120389i | \(-0.961586\pi\) |
0.600623 | + | 0.799532i | \(0.294919\pi\) | |||||||
\(620\) | 0.0671090 | + | 0.0387454i | 0.00269516 | + | 0.00155605i | ||||
\(621\) | 5.40951 | + | 3.37908i | 0.217076 | + | 0.135598i | ||||
\(622\) | 3.82324 | 0.153298 | ||||||||
\(623\) | −8.30726 | + | 3.38258i | −0.332824 | + | 0.135520i | ||||
\(624\) | 0.337951 | − | 6.23585i | 0.0135289 | − | 0.249634i | ||||
\(625\) | −12.4424 | − | 21.5508i | −0.497695 | − | 0.862033i | ||||
\(626\) | −16.6808 | − | 9.63067i | −0.666699 | − | 0.384919i | ||||
\(627\) | 10.5871 | + | 64.3960i | 0.422808 | + | 2.57173i | ||||
\(628\) | −16.7506 | + | 9.67095i | −0.668421 | + | 0.385913i | ||||
\(629\) | − | 1.40724i | − | 0.0561103i | ||||||
\(630\) | −0.657319 | − | 0.228544i | −0.0261882 | − | 0.00910541i | ||||
\(631\) | 44.3163i | 1.76421i | 0.471057 | + | 0.882103i | \(0.343872\pi\) | ||||
−0.471057 | + | 0.882103i | \(0.656128\pi\) | |||||||
\(632\) | −7.19370 | − | 12.4599i | −0.286150 | − | 0.495626i | ||||
\(633\) | 4.55814 | + | 27.7249i | 0.181170 | + | 1.10196i | ||||
\(634\) | −12.3152 | + | 21.3306i | −0.489100 | + | 0.847147i | ||||
\(635\) | −0.365098 | + | 0.210789i | −0.0144885 | + | 0.00836491i | ||||
\(636\) | −15.3766 | − | 18.7623i | −0.609721 | − | 0.743973i | ||||
\(637\) | −21.4335 | + | 13.3268i | −0.849227 | + | 0.528028i | ||||
\(638\) | 33.1130i | 1.31096i | ||||||||
\(639\) | −7.55420 | + | 2.55292i | −0.298839 | + | 0.100992i | ||||
\(640\) | −0.0759308 | − | 0.0438386i | −0.00300143 | − | 0.00173287i | ||||
\(641\) | 5.36714 | + | 3.09872i | 0.211989 | + | 0.122392i | 0.602236 | − | 0.798318i | \(-0.294277\pi\) |
−0.390246 | + | 0.920711i | \(0.627610\pi\) | |||||||
\(642\) | 1.64727 | − | 4.36774i | 0.0650127 | − | 0.172381i | ||||
\(643\) | 21.2665 | 0.838669 | 0.419334 | − | 0.907832i | \(-0.362263\pi\) | ||||
0.419334 | + | 0.907832i | \(0.362263\pi\) | |||||||
\(644\) | 0.443257 | − | 3.21721i | 0.0174668 | − | 0.126776i | ||||
\(645\) | −0.933458 | − | 1.13899i | −0.0367549 | − | 0.0448477i | ||||
\(646\) | 8.88725 | + | 15.3932i | 0.349664 | + | 0.605636i | ||||
\(647\) | −3.77674 | + | 6.54151i | −0.148479 | + | 0.257173i | −0.930666 | − | 0.365871i | \(-0.880771\pi\) |
0.782186 | + | 0.623044i | \(0.214104\pi\) | |||||||
\(648\) | −7.15497 | + | 5.45952i | −0.281074 | + | 0.214470i | ||||
\(649\) | −17.6347 | + | 10.1814i | −0.692223 | + | 0.399655i | ||||
\(650\) | 12.1464 | − | 13.2841i | 0.476420 | − | 0.521045i | ||||
\(651\) | −3.55907 | − | 1.93309i | −0.139491 | − | 0.0757638i | ||||
\(652\) | − | 17.6397i | − | 0.690823i | ||||||
\(653\) | −27.7842 | + | 16.0412i | −1.08728 | + | 0.627742i | −0.932851 | − | 0.360262i | \(-0.882687\pi\) |
−0.154430 | + | 0.988004i | \(0.549354\pi\) | |||||||
\(654\) | 13.1089 | − | 2.15519i | 0.512599 | − | 0.0842744i | ||||
\(655\) | −1.50315 | − | 0.867843i | −0.0587329 | − | 0.0339094i | ||||
\(656\) | −7.78862 | + | 4.49676i | −0.304094 | + | 0.175569i | ||||
\(657\) | 4.84567 | − | 24.1898i | 0.189048 | − | 0.943736i | ||||
\(658\) | 17.9780 | + | 13.9676i | 0.700855 | + | 0.544514i | ||||
\(659\) | 8.17705i | 0.318533i | 0.987236 | + | 0.159266i | \(0.0509128\pi\) | ||||
−0.987236 | + | 0.159266i | \(0.949087\pi\) | |||||||
\(660\) | 0.303456 | − | 0.804613i | 0.0118120 | − | 0.0313195i | ||||
\(661\) | −13.8904 | + | 24.0589i | −0.540274 | + | 0.935782i | 0.458614 | + | 0.888636i | \(0.348346\pi\) |
−0.998888 | + | 0.0471464i | \(0.984987\pi\) | |||||||
\(662\) | 3.59847 | + | 2.07757i | 0.139858 | + | 0.0807472i | ||||
\(663\) | 14.8776 | − | 7.54714i | 0.577797 | − | 0.293107i | ||||
\(664\) | − | 2.86138i | − | 0.111043i | ||||||
\(665\) | 1.21887 | + | 0.946975i | 0.0472658 | + | 0.0367221i | ||||
\(666\) | −1.54960 | − | 0.310414i | −0.0600459 | − | 0.0120283i | ||||
\(667\) | −3.58893 | − | 6.21621i | −0.138964 | − | 0.240693i | ||||
\(668\) | 13.4535 | + | 7.76738i | 0.520532 | + | 0.300529i | ||||
\(669\) | −5.17671 | − | 31.4873i | −0.200143 | − | 1.21737i | ||||
\(670\) | 0.331078 | + | 0.573444i | 0.0127907 | + | 0.0221541i | ||||
\(671\) | 13.1583i | 0.507972i | ||||||||
\(672\) | 4.02693 | + | 2.18721i | 0.155342 | + | 0.0843733i | ||||
\(673\) | 36.4941 | 1.40674 | 0.703372 | − | 0.710822i | \(-0.251677\pi\) | ||||
0.703372 | + | 0.710822i | \(0.251677\pi\) | |||||||
\(674\) | −0.811986 | − | 1.40640i | −0.0312765 | − | 0.0541725i | ||||
\(675\) | −25.9252 | − | 0.901342i | −0.997860 | − | 0.0346927i | ||||
\(676\) | 11.7938 | + | 5.46868i | 0.453607 | + | 0.210334i | ||||
\(677\) | −7.78434 | − | 13.4829i | −0.299176 | − | 0.518189i | 0.676771 | − | 0.736193i | \(-0.263379\pi\) |
−0.975948 | + | 0.218004i | \(0.930045\pi\) | |||||||
\(678\) | 8.70570 | + | 10.6226i | 0.334340 | + | 0.407957i | ||||
\(679\) | 27.4624 | + | 3.78369i | 1.05391 | + | 0.145205i | ||||
\(680\) | − | 0.234214i | − | 0.00898170i | ||||||
\(681\) | 2.63877 | − | 6.99670i | 0.101118 | − | 0.268114i | ||||
\(682\) | 2.50237 | − | 4.33422i | 0.0958205 | − | 0.165966i | ||||
\(683\) | −6.05165 | + | 10.4818i | −0.231560 | + | 0.401074i | −0.958267 | − | 0.285873i | \(-0.907716\pi\) |
0.726707 | + | 0.686947i | \(0.241050\pi\) | |||||||
\(684\) | 18.9108 | − | 6.39085i | 0.723073 | − | 0.244360i | ||||
\(685\) | 1.10319i | 0.0421508i | ||||||||
\(686\) | −2.08565 | − | 18.4024i | −0.0796306 | − | 0.702609i | ||||
\(687\) | −17.4471 | + | 14.2987i | −0.665649 | + | 0.545531i | ||||
\(688\) | 4.84860 | + | 8.39803i | 0.184851 | + | 0.320172i | ||||
\(689\) | 48.1440 | − | 15.2367i | 1.83414 | − | 0.580472i | ||||
\(690\) | 0.0302405 | + | 0.183937i | 0.00115123 | + | 0.00700238i | ||||
\(691\) | 7.19903 | + | 12.4691i | 0.273864 | + | 0.474347i | 0.969848 | − | 0.243711i | \(-0.0783648\pi\) |
−0.695984 | + | 0.718057i | \(0.745031\pi\) | |||||||
\(692\) | −16.3020 | −0.619708 | ||||||||
\(693\) | −14.7605 | + | 42.4528i | −0.560704 | + | 1.61265i | ||||
\(694\) | − | 4.98244i | − | 0.189131i | ||||||
\(695\) | −0.859298 | − | 1.48835i | −0.0325950 | − | 0.0564563i | ||||
\(696\) | 9.99425 | − | 1.64312i | 0.378831 | − | 0.0622822i | ||||
\(697\) | −20.8059 | − | 12.0123i | −0.788079 | − | 0.454998i | ||||
\(698\) | −9.23276 | − | 15.9916i | −0.349465 | − | 0.605291i | ||||
\(699\) | 18.0112 | + | 21.9770i | 0.681246 | + | 0.831246i | ||||
\(700\) | 4.98115 | + | 12.2332i | 0.188270 | + | 0.462370i | ||||
\(701\) | − | 33.4107i | − | 1.26190i | −0.775822 | − | 0.630952i | \(-0.782665\pi\) | ||
0.775822 | − | 0.630952i | \(-0.217335\pi\) | |||||||
\(702\) | −5.02890 | − | 18.0474i | −0.189803 | − | 0.681157i | ||||
\(703\) | 3.03560 | + | 1.75261i | 0.114490 | + | 0.0661008i | ||||
\(704\) | −2.83131 | + | 4.90398i | −0.106709 | + | 0.184826i | ||||
\(705\) | −1.22268 | − | 0.461127i | −0.0460487 | − | 0.0173671i | ||||
\(706\) | 20.3986i | 0.767710i | ||||||||
\(707\) | −5.43018 | + | 6.98929i | −0.204223 | + | 0.262859i | ||||
\(708\) | 3.94804 | + | 4.81734i | 0.148376 | + | 0.181047i | ||||
\(709\) | 25.6450 | − | 14.8062i | 0.963119 | − | 0.556057i | 0.0659873 | − | 0.997820i | \(-0.478980\pi\) |
0.897132 | + | 0.441764i | \(0.145647\pi\) | |||||||
\(710\) | −0.201822 | − | 0.116522i | −0.00757424 | − | 0.00437299i | ||||
\(711\) | −32.4126 | − | 28.5027i | −1.21557 | − | 1.06893i | ||||
\(712\) | −2.93597 | + | 1.69508i | −0.110030 | + | 0.0635259i | ||||
\(713\) | 1.08487i | 0.0406286i | ||||||||
\(714\) | 0.318656 | + | 12.2374i | 0.0119254 | + | 0.457972i | ||||
\(715\) | 1.32110 | + | 1.20795i | 0.0494063 | + | 0.0451748i | ||||
\(716\) | −7.78809 | + | 4.49646i | −0.291055 | + | 0.168041i | ||||
\(717\) | 4.32517 | + | 26.3078i | 0.161526 | + | 0.982483i | ||||
\(718\) | −1.49774 | + | 2.59416i | −0.0558952 | + | 0.0968133i | ||||
\(719\) | −14.5300 | − | 25.1667i | −0.541877 | − | 0.938558i | −0.998796 | − | 0.0490503i | \(-0.984381\pi\) |
0.456919 | − | 0.889508i | \(-0.348953\pi\) | |||||||
\(720\) | −0.257908 | − | 0.0516637i | −0.00961167 | − | 0.00192539i | ||||
\(721\) | −30.4682 | + | 12.4061i | −1.13469 | + | 0.462029i | ||||
\(722\) | −25.2735 | −0.940583 | ||||||||
\(723\) | 12.6313 | + | 4.76384i | 0.469764 | + | 0.177169i | ||||
\(724\) | −6.15572 | − | 3.55401i | −0.228776 | − | 0.132084i | ||||
\(725\) | 25.2821 | + | 14.5966i | 0.938955 | + | 0.542106i | ||||
\(726\) | −34.1390 | − | 12.8754i | −1.26702 | − | 0.477849i | ||||
\(727\) | − | 10.8801i | − | 0.403521i | −0.979435 | − | 0.201761i | \(-0.935334\pi\) | ||
0.979435 | − | 0.201761i | \(-0.0646663\pi\) | |||||||
\(728\) | −7.33780 | + | 6.09563i | −0.271957 | + | 0.225919i | ||||
\(729\) | −15.0913 | + | 22.3886i | −0.558938 | + | 0.829209i | ||||
\(730\) | 0.624414 | − | 0.360506i | 0.0231106 | − | 0.0133429i | ||||
\(731\) | −12.9522 | + | 22.4338i | −0.479053 | + | 0.829744i | ||||
\(732\) | 3.97148 | − | 0.652936i | 0.146790 | − | 0.0241332i | ||||
\(733\) | 25.2212 | + | 43.6845i | 0.931568 | + | 1.61352i | 0.780643 | + | 0.624978i | \(0.214892\pi\) |
0.150925 | + | 0.988545i | \(0.451775\pi\) | |||||||
\(734\) | 0.431332i | 0.0159208i | ||||||||
\(735\) | 0.426382 | + | 0.973772i | 0.0157273 | + | 0.0359181i | ||||
\(736\) | − | 1.22748i | − | 0.0452454i | ||||||
\(737\) | 37.0358 | − | 21.3826i | 1.36423 | − | 0.787639i | ||||
\(738\) | −17.8169 | + | 20.2610i | −0.655850 | + | 0.745817i | ||||
\(739\) | −4.88879 | − | 2.82254i | −0.179837 | − | 0.103829i | 0.407379 | − | 0.913259i | \(-0.366443\pi\) |
−0.587216 | + | 0.809430i | \(0.699776\pi\) | |||||||
\(740\) | −0.0230940 | − | 0.0400000i | −0.000848953 | − | 0.00147043i | ||||
\(741\) | −2.24867 | + | 41.4923i | −0.0826070 | + | 1.52426i | ||||
\(742\) | −5.05756 | + | 36.7083i | −0.185669 | + | 1.34760i | ||||
\(743\) | −12.6489 | −0.464041 | −0.232021 | − | 0.972711i | \(-0.574534\pi\) | ||||
−0.232021 | + | 0.972711i | \(0.574534\pi\) | |||||||
\(744\) | −1.43234 | − | 0.540199i | −0.0525120 | − | 0.0198047i | ||||
\(745\) | −0.972927 | − | 0.561720i | −0.0356453 | − | 0.0205798i | ||||
\(746\) | −5.60905 | + | 9.71516i | −0.205362 | + | 0.355697i | ||||
\(747\) | −2.74829 | − | 8.13230i | −0.100555 | − | 0.297545i | ||||
\(748\) | −15.1267 | −0.553086 | ||||||||
\(749\) | −6.60407 | + | 2.68907i | −0.241308 | + | 0.0982565i | ||||
\(750\) | −0.961866 | − | 1.17365i | −0.0351224 | − | 0.0428558i | ||||
\(751\) | −0.800219 | − | 1.38602i | −0.0292004 | − | 0.0505766i | 0.851056 | − | 0.525075i | \(-0.175963\pi\) |
−0.880256 | + | 0.474498i | \(0.842629\pi\) | |||||||
\(752\) | 7.45201 | + | 4.30242i | 0.271747 | + | 0.156893i | ||||
\(753\) | −2.22523 | − | 13.5349i | −0.0810918 | − | 0.493240i | ||||
\(754\) | −4.54127 | + | 20.5891i | −0.165383 | + | 0.749811i | ||||
\(755\) | 0.360717 | 0.0131278 | ||||||||
\(756\) | 13.5457 | + | 2.34847i | 0.492651 | + | 0.0854130i | ||||
\(757\) | −46.2341 | −1.68041 | −0.840203 | − | 0.542272i | \(-0.817564\pi\) | ||||
−0.840203 | + | 0.542272i | \(0.817564\pi\) | |||||||
\(758\) | −9.93910 | + | 5.73834i | −0.361004 | + | 0.208426i | ||||
\(759\) | 11.8796 | − | 1.95308i | 0.431201 | − | 0.0708922i | ||||
\(760\) | 0.505231 | + | 0.291695i | 0.0183266 | + | 0.0105809i | ||||
\(761\) | −29.1876 | + | 16.8515i | −1.05805 | + | 0.610865i | −0.924892 | − | 0.380230i | \(-0.875845\pi\) |
−0.133157 | + | 0.991095i | \(0.542512\pi\) | |||||||
\(762\) | 6.44136 | − | 5.27901i | 0.233346 | − | 0.191238i | ||||
\(763\) | −16.0249 | − | 12.4502i | −0.580141 | − | 0.450728i | ||||
\(764\) | − | 14.2368i | − | 0.515070i | ||||||
\(765\) | −0.224957 | − | 0.665658i | −0.00813334 | − | 0.0240669i | ||||
\(766\) | −0.325127 | − | 0.187712i | −0.0117473 | − | 0.00678232i | ||||
\(767\) | −12.3613 | + | 3.91212i | −0.446340 | + | 0.141259i | ||||
\(768\) | 1.62062 | + | 0.611211i | 0.0584792 | + | 0.0220552i | ||||
\(769\) | 22.1719 | 0.799539 | 0.399769 | − | 0.916616i | \(-0.369090\pi\) | ||||
0.399769 | + | 0.916616i | \(0.369090\pi\) | |||||||
\(770\) | −1.21658 | + | 0.495373i | −0.0438427 | + | 0.0178520i | ||||
\(771\) | −13.2019 | + | 10.8196i | −0.475454 | + | 0.389657i | ||||
\(772\) | −12.9152 | + | 7.45659i | −0.464828 | + | 0.268369i | ||||
\(773\) | 1.94637 | + | 1.12374i | 0.0700061 | + | 0.0404181i | 0.534595 | − | 0.845109i | \(-0.320464\pi\) |
−0.464588 | + | 0.885527i | \(0.653798\pi\) | |||||||
\(774\) | 21.8463 | + | 19.2110i | 0.785248 | + | 0.690525i | ||||
\(775\) | −2.20615 | − | 3.82116i | −0.0792472 | − | 0.137260i | ||||
\(776\) | 10.4779 | 0.376134 | ||||||||
\(777\) | 1.26105 | + | 2.05853i | 0.0452400 | + | 0.0738493i | ||||
\(778\) | 32.6910i | 1.17203i | ||||||||
\(779\) | 51.8242 | − | 29.9207i | 1.85679 | − | 1.07202i | ||||
\(780\) | 0.299032 | − | 0.458677i | 0.0107071 | − | 0.0164233i | ||||
\(781\) | −7.52555 | + | 13.0346i | −0.269285 | + | 0.466416i | ||||
\(782\) | 2.83968 | − | 1.63949i | 0.101547 | − | 0.0586281i | ||||
\(783\) | 26.8264 | − | 14.2691i | 0.958698 | − | 0.509937i | ||||
\(784\) | −1.73026 | − | 6.78279i | −0.0617950 | − | 0.242242i | ||||
\(785\) | −1.69585 | −0.0605273 | ||||||||
\(786\) | 32.0824 | + | 12.0997i | 1.14434 | + | 0.431582i | ||||
\(787\) | 17.2066 | − | 29.8028i | 0.613350 | − | 1.06235i | −0.377321 | − | 0.926082i | \(-0.623155\pi\) |
0.990672 | − | 0.136271i | \(-0.0435119\pi\) | |||||||
\(788\) | −2.79871 | + | 4.84751i | −0.0997000 | + | 0.172685i | ||||
\(789\) | −14.2991 | + | 37.9141i | −0.509062 | + | 1.34978i | ||||
\(790\) | − | 1.26145i | − | 0.0448803i | ||||||
\(791\) | 2.86342 | − | 20.7830i | 0.101811 | − | 0.738958i | ||||
\(792\) | −3.33670 | + | 16.6570i | −0.118564 | + | 0.591879i | ||||
\(793\) | −1.80459 | + | 8.18163i | −0.0640830 | + | 0.290538i | ||||
\(794\) | −9.57692 | + | 16.5877i | −0.339872 | + | 0.588676i | ||||
\(795\) | −0.345043 | − | 2.09872i | −0.0122374 | − | 0.0744340i | ||||
\(796\) | −0.509204 | + | 0.293989i | −0.0180483 | + | 0.0104202i | ||||
\(797\) | 0.908350 | 0.0321754 | 0.0160877 | − | 0.999871i | \(-0.494879\pi\) | ||||
0.0160877 | + | 0.999871i | \(0.494879\pi\) | |||||||
\(798\) | −26.7945 | − | 14.5533i | −0.948515 | − | 0.515181i | ||||
\(799\) | 22.9863i | 0.813196i | ||||||||
\(800\) | 2.49616 | + | 4.32347i | 0.0882525 | + | 0.152858i | ||||
\(801\) | −6.71621 | + | 7.63751i | −0.237305 | + | 0.269858i | ||||
\(802\) | 2.06325 | − | 3.57365i | 0.0728558 | − | 0.126190i | ||||
\(803\) | −23.2832 | − | 40.3277i | −0.821647 | − | 1.42313i | ||||
\(804\) | −8.29152 | − | 10.1172i | −0.292419 | − | 0.356806i | ||||
\(805\) | 0.174695 | − | 0.224853i | 0.00615719 | − | 0.00792504i | ||||
\(806\) | 2.15034 | − | 2.35176i | 0.0757426 | − | 0.0828372i | ||||
\(807\) | −2.78709 | − | 1.05114i | −0.0981102 | − | 0.0370018i | ||||
\(808\) | −1.67265 | + | 2.89711i | −0.0588436 | + | 0.101920i | ||||
\(809\) | −14.8389 | − | 8.56724i | −0.521708 | − | 0.301208i | 0.215925 | − | 0.976410i | \(-0.430723\pi\) |
−0.737633 | + | 0.675202i | \(0.764057\pi\) | |||||||
\(810\) | −0.782621 | + | 0.100882i | −0.0274985 | + | 0.00354462i | ||||
\(811\) | 34.3753 | 1.20708 | 0.603540 | − | 0.797333i | \(-0.293757\pi\) | ||||
0.603540 | + | 0.797333i | \(0.293757\pi\) | |||||||
\(812\) | −12.2174 | − | 9.49207i | −0.428748 | − | 0.333106i | ||||
\(813\) | −21.4407 | + | 17.5717i | −0.751957 | + | 0.616265i | ||||
\(814\) | −2.58340 | + | 1.49152i | −0.0905480 | + | 0.0522779i | ||||
\(815\) | 0.773299 | − | 1.33939i | 0.0270875 | − | 0.0469169i | ||||
\(816\) | 0.750608 | + | 4.56557i | 0.0262765 | + | 0.159827i | ||||
\(817\) | −32.2618 | − | 55.8791i | −1.12870 | − | 1.95496i | ||||
\(818\) | 32.2722 | 1.12837 | ||||||||
\(819\) | −15.0000 | + | 24.3721i | −0.524142 | + | 0.851631i | ||||
\(820\) | −0.788528 | −0.0275366 | ||||||||
\(821\) | −12.6949 | − | 21.9881i | −0.443054 | − | 0.767392i | 0.554861 | − | 0.831943i | \(-0.312772\pi\) |
−0.997914 | + | 0.0645517i | \(0.979438\pi\) | |||||||
\(822\) | −3.53551 | − | 21.5047i | −0.123315 | − | 0.750063i | ||||
\(823\) | −2.14820 | + | 3.72079i | −0.0748815 | + | 0.129699i | −0.901035 | − | 0.433747i | \(-0.857191\pi\) |
0.826153 | + | 0.563446i | \(0.190525\pi\) | |||||||
\(824\) | −10.7681 | + | 6.21697i | −0.375125 | + | 0.216579i | ||||
\(825\) | −37.8710 | + | 31.0371i | −1.31850 | + | 1.08057i | ||||
\(826\) | 1.29856 | − | 9.42510i | 0.0451827 | − | 0.327941i | ||||
\(827\) | 21.4079 | 0.744426 | 0.372213 | − | 0.928147i | \(-0.378599\pi\) | ||||
0.372213 | + | 0.928147i | \(0.378599\pi\) | |||||||
\(828\) | −1.17896 | − | 3.48860i | −0.0409718 | − | 0.121237i | ||||
\(829\) | −37.1532 | − | 21.4504i | −1.29038 | − | 0.745003i | −0.311661 | − | 0.950193i | \(-0.600885\pi\) |
−0.978722 | + | 0.205190i | \(0.934219\pi\) | |||||||
\(830\) | 0.125439 | − | 0.217267i | 0.00435405 | − | 0.00754144i | ||||
\(831\) | −19.8405 | − | 7.48277i | −0.688261 | − | 0.259574i | ||||
\(832\) | −2.43301 | + | 2.66091i | −0.0843496 | + | 0.0922505i | ||||
\(833\) | 13.3805 | − | 13.0623i | 0.463606 | − | 0.452583i | ||||
\(834\) | 21.5203 | + | 26.2587i | 0.745186 | + | 0.909265i | ||||
\(835\) | 0.681023 | + | 1.17957i | 0.0235678 | + | 0.0408206i | ||||
\(836\) | 18.8391 | − | 32.6303i | 0.651563 | − | 1.12854i | ||||
\(837\) | −4.58968 | − | 0.159570i | −0.158643 | − | 0.00551554i | ||||
\(838\) | 2.36306 | + | 4.09295i | 0.0816307 | + | 0.141388i | ||||
\(839\) | 26.4635i | 0.913622i | 0.889564 | + | 0.456811i | \(0.151008\pi\) | ||||
−0.889564 | + | 0.456811i | \(0.848992\pi\) | |||||||
\(840\) | 0.209883 | + | 0.342611i | 0.00724167 | + | 0.0118212i | ||||
\(841\) | −5.19498 | −0.179137 | ||||||||
\(842\) | 24.3867 | − | 14.0796i | 0.840420 | − | 0.485217i | ||||
\(843\) | 2.27386 | + | 13.8307i | 0.0783159 | + | 0.476356i | ||||
\(844\) | 8.11092 | − | 14.0485i | 0.279190 | − | 0.483570i | ||||
\(845\) | 0.655772 | + | 0.932265i | 0.0225593 | + | 0.0320709i | ||||
\(846\) | 25.3117 | + | 5.07039i | 0.870233 | + | 0.174324i | ||||
\(847\) | 21.0182 | + | 51.6185i | 0.722195 | + | 1.77363i | ||||
\(848\) | 14.0055i | 0.480951i | ||||||||
\(849\) | −2.05068 | + | 5.43737i | −0.0703791 | + | 0.186610i | ||||
\(850\) | −6.66803 | + | 11.5494i | −0.228711 | + | 0.396140i | ||||
\(851\) | 0.323315 | − | 0.559998i | 0.0110831 | − | 0.0191965i | ||||
\(852\) | 4.30757 | + | 1.62458i | 0.147575 | + | 0.0556572i | ||||
\(853\) | 6.30916 | 0.216021 | 0.108011 | − | 0.994150i | \(-0.465552\pi\) | ||||
0.108011 | + | 0.994150i | \(0.465552\pi\) | |||||||
\(854\) | −4.85492 | − | 3.77192i | −0.166132 | − | 0.129073i | ||||
\(855\) | 1.71608 | + | 0.343762i | 0.0586886 | + | 0.0117564i | ||||
\(856\) | −2.33402 | + | 1.34755i | −0.0797753 | + | 0.0460583i | ||||
\(857\) | −3.47394 | + | 6.01703i | −0.118667 | + | 0.205538i | −0.919240 | − | 0.393698i | \(-0.871196\pi\) |
0.800572 | + | 0.599236i | \(0.204529\pi\) | |||||||
\(858\) | −29.6236 | − | 19.3129i | −1.01133 | − | 0.659333i | ||||
\(859\) | −14.5807 | + | 8.41820i | −0.497489 | + | 0.287225i | −0.727676 | − | 0.685921i | \(-0.759399\pi\) |
0.230187 | + | 0.973146i | \(0.426066\pi\) | |||||||
\(860\) | 0.850225i | 0.0289924i | ||||||||
\(861\) | 41.1995 | − | 1.07282i | 1.40408 | − | 0.0365615i | ||||
\(862\) | 36.4880 | 1.24279 | ||||||||
\(863\) | −2.46354 | − | 4.26698i | −0.0838600 | − | 0.145250i | 0.821045 | − | 0.570864i | \(-0.193392\pi\) |
−0.904905 | + | 0.425614i | \(0.860058\pi\) | |||||||
\(864\) | 5.19301 | + | 0.180546i | 0.176670 | + | 0.00614230i | ||||
\(865\) | −1.23782 | − | 0.714656i | −0.0420872 | − | 0.0242990i | ||||
\(866\) | 3.93493 | − | 2.27183i | 0.133714 | − | 0.0772000i | ||||
\(867\) | 13.2142 | − | 10.8297i | 0.448779 | − | 0.367796i | ||||
\(868\) | 0.881842 | + | 2.16571i | 0.0299317 | + | 0.0735090i | ||||
\(869\) | −81.4705 | −2.76370 | ||||||||
\(870\) | 0.830903 | + | 0.313371i | 0.0281703 | + | 0.0106243i | ||||
\(871\) | 25.9607 | − | 8.21609i | 0.879645 | − | 0.278392i | ||||
\(872\) | −6.64244 | − | 3.83502i | −0.224941 | − | 0.129870i | ||||
\(873\) | 29.7791 | − | 10.0638i | 1.00787 | − | 0.340607i | ||||
\(874\) | 8.16743i | 0.276268i | ||||||||
\(875\) | −0.316370 | + | 2.29625i | −0.0106953 | + | 0.0776274i | ||||
\(876\) | −11.0165 | + | 9.02852i | −0.372212 | + | 0.305045i | ||||
\(877\) | 25.2195 | − | 14.5605i | 0.851601 | − | 0.491672i | −0.00958950 | − | 0.999954i | \(-0.503052\pi\) |
0.861191 | + | 0.508282i | \(0.169719\pi\) | |||||||
\(878\) | −19.3010 | − | 11.1434i | −0.651376 | − | 0.376072i | ||||
\(879\) | −36.2416 | + | 5.95835i | −1.22240 | + | 0.200970i | ||||
\(880\) | −0.429968 | + | 0.248242i | −0.0144942 | + | 0.00836823i | ||||
\(881\) | 1.87116 | 0.0630411 | 0.0315205 | − | 0.999503i | \(-0.489965\pi\) | ||||
0.0315205 | + | 0.999503i | \(0.489965\pi\) | |||||||
\(882\) | −11.4323 | − | 17.6154i | −0.384944 | − | 0.593142i | ||||
\(883\) | 37.4465 | 1.26018 | 0.630088 | − | 0.776524i | \(-0.283019\pi\) | ||||
0.630088 | + | 0.776524i | \(0.283019\pi\) | |||||||
\(884\) | −9.40551 | − | 2.07454i | −0.316341 | − | 0.0697743i | ||||
\(885\) | 0.0885921 | + | 0.538861i | 0.00297799 | + | 0.0181136i | ||||
\(886\) | −22.9471 | − | 13.2485i | −0.770924 | − | 0.445093i | ||||
\(887\) | −16.0090 | − | 27.7284i | −0.537530 | − | 0.931029i | −0.999036 | − | 0.0438921i | \(-0.986024\pi\) |
0.461506 | − | 0.887137i | \(-0.347309\pi\) | |||||||
\(888\) | 0.578367 | + | 0.705715i | 0.0194087 | + | 0.0236822i | ||||
\(889\) | −12.6025 | − | 1.73633i | −0.422674 | − | 0.0582347i | ||||
\(890\) | −0.297240 | −0.00996352 | ||||||||
\(891\) | 6.51543 | + | 50.5454i | 0.218275 | + | 1.69334i | ||||
\(892\) | −9.21163 | + | 15.9550i | −0.308428 | + | 0.534213i | ||||
\(893\) | −49.5844 | − | 28.6276i | −1.65928 | − | 0.957986i | ||||
\(894\) | 20.7656 | + | 7.83165i | 0.694506 | + | 0.261930i | ||||
\(895\) | −0.788474 | −0.0263558 | ||||||||
\(896\) | −0.997764 | − | 2.45040i | −0.0333329 | − | 0.0818622i | ||||
\(897\) | 7.65436 | + | 0.414828i | 0.255572 | + | 0.0138507i | ||||
\(898\) | −20.8807 | − | 36.1664i | −0.696797 | − | 1.20689i | ||||
\(899\) | 4.47584 | + | 2.58413i | 0.149278 | + | 0.0861855i | ||||
\(900\) | 11.2469 | + | 9.89020i | 0.374897 | + | 0.329673i | ||||
\(901\) | −32.4007 | + | 18.7066i | −1.07943 | + | 0.623207i | ||||
\(902\) | 50.9269i | 1.69568i | ||||||||
\(903\) | −1.15676 | − | 44.4231i | −0.0384945 | − | 1.47831i | ||||
\(904\) | − | 7.92944i | − | 0.263729i | ||||||
\(905\) | −0.311606 | − | 0.539717i | −0.0103581 | − | 0.0179408i | ||||
\(906\) | −7.03152 | + | 1.15603i | −0.233606 | + | 0.0384064i | ||||
\(907\) | −0.102258 | + | 0.177116i | −0.00339542 | + | 0.00588104i | −0.867718 | − | 0.497057i | \(-0.834414\pi\) |
0.864323 | + | 0.502938i | \(0.167747\pi\) | |||||||
\(908\) | −3.73888 | + | 2.15864i | −0.124079 | + | 0.0716371i | ||||
\(909\) | −1.97121 | + | 9.84040i | −0.0653810 | + | 0.326385i | ||||
\(910\) | −0.824389 | + | 0.141167i | −0.0273282 | + | 0.00467964i | ||||
\(911\) | 9.73710i | 0.322604i | 0.986905 | + | 0.161302i | \(0.0515694\pi\) | ||||
−0.986905 | + | 0.161302i | \(0.948431\pi\) | |||||||
\(912\) | −10.7834 | − | 4.06689i | −0.357073 | − | 0.134668i | ||||
\(913\) | −14.0321 | − | 8.10146i | −0.464396 | − | 0.268119i | ||||
\(914\) | −17.3505 | − | 10.0173i | −0.573903 | − | 0.331343i | ||||
\(915\) | 0.330181 | + | 0.124526i | 0.0109155 | + | 0.00411672i | ||||
\(916\) | 13.0238 | 0.430317 | ||||||||
\(917\) | −19.7520 | − | 48.5089i | −0.652270 | − | 1.60190i | ||||
\(918\) | 6.51842 | + | 12.2548i | 0.215140 | + | 0.404469i | ||||
\(919\) | −7.54494 | − | 13.0682i | −0.248885 | − | 0.431081i | 0.714332 | − | 0.699807i | \(-0.246731\pi\) |
−0.963217 | + | 0.268726i | \(0.913397\pi\) | |||||||
\(920\) | 0.0538110 | − | 0.0932033i | 0.00177410 | − | 0.00307282i | ||||
\(921\) | 5.35844 | + | 32.5927i | 0.176567 | + | 1.07397i | ||||
\(922\) | −7.60166 | + | 4.38882i | −0.250347 | + | 0.144538i | ||||
\(923\) | −6.46688 | + | 7.07262i | −0.212860 | + | 0.232798i | ||||
\(924\) | 22.1275 | − | 13.5553i | 0.727941 | − | 0.445936i | ||||
\(925\) | 2.62993i | 0.0864716i | ||||||||
\(926\) | −15.5289 | + | 8.96560i | −0.510311 | + | 0.294628i | ||||
\(927\) | −24.6327 | + | 28.0117i | −0.809044 | + | 0.920026i | ||||
\(928\) | −5.06421 | − | 2.92382i | −0.166241 | − | 0.0959792i | ||||
\(929\) | −2.52193 | + | 1.45604i | −0.0827418 | + | 0.0477710i | −0.540800 | − | 0.841151i | \(-0.681878\pi\) |
0.458058 | + | 0.888922i | \(0.348545\pi\) | |||||||
\(930\) | −0.0850768 | − | 0.103809i | −0.00278978 | − | 0.00340405i | ||||
\(931\) | 11.5129 | + | 45.1315i | 0.377319 | + | 1.47913i | ||||
\(932\) | − | 16.4052i | − | 0.537370i | ||||||
\(933\) | −6.19604 | − | 2.33681i | −0.202849 | − | 0.0765037i | ||||
\(934\) | −8.47219 | + | 14.6743i | −0.277219 | + | 0.480157i | ||||
\(935\) | −1.14858 | − | 0.663133i | −0.0375626 | − | 0.0216868i | ||||
\(936\) | −4.35911 | + | 9.89940i | −0.142482 | + | 0.323572i | ||||
\(937\) | − | 43.9029i | − | 1.43425i | −0.696946 | − | 0.717123i | \(-0.745458\pi\) | ||
0.696946 | − | 0.717123i | \(-0.254542\pi\) | |||||||
\(938\) | −2.72719 | + | 19.7942i | −0.0890458 | + | 0.646305i | ||||
\(939\) | 21.1470 | + | 25.8032i | 0.690105 | + | 0.842055i | ||||
\(940\) | 0.377225 | + | 0.653372i | 0.0123037 | + | 0.0213106i | ||||
\(941\) | −32.2047 | − | 18.5934i | −1.04984 | − | 0.606127i | −0.127238 | − | 0.991872i | \(-0.540611\pi\) |
−0.922606 | + | 0.385745i | \(0.873945\pi\) | |||||||
\(942\) | 33.0574 | − | 5.43484i | 1.07707 | − | 0.177077i | ||||
\(943\) | −5.51967 | − | 9.56036i | −0.179745 | − | 0.311328i | ||||
\(944\) | − | 3.59600i | − | 0.117040i | ||||||
\(945\) | 0.925578 | + | 0.772144i | 0.0301091 | + | 0.0251179i | ||||
\(946\) | 54.9116 | 1.78533 | ||||||||
\(947\) | 9.06698 | + | 15.7045i | 0.294637 | + | 0.510326i | 0.974900 | − | 0.222641i | \(-0.0714679\pi\) |
−0.680263 | + | 0.732968i | \(0.738135\pi\) | |||||||
\(948\) | 4.04268 | + | 24.5896i | 0.131300 | + | 0.798633i | ||||
\(949\) | −8.94638 | − | 28.2682i | −0.290412 | − | 0.917626i | ||||
\(950\) | −16.6090 | − | 28.7676i | −0.538867 | − | 0.933346i | ||||
\(951\) | 32.9958 | − | 27.0417i | 1.06996 | − | 0.876887i | ||||
\(952\) | 4.33616 | − | 5.58116i | 0.140536 | − | 0.180886i | ||||
\(953\) | 13.7842i | 0.446514i | 0.974760 | + | 0.223257i | \(0.0716689\pi\) | ||||
−0.974760 | + | 0.223257i | \(0.928331\pi\) | |||||||
\(954\) | 13.4520 | + | 39.8049i | 0.435523 | + | 1.28873i | ||||
\(955\) | 0.624123 | − | 1.08101i | 0.0201961 | − | 0.0349807i | ||||
\(956\) | 7.69636 | − | 13.3305i | 0.248918 | − | 0.431139i | ||||
\(957\) | 20.2390 | − | 53.6638i | 0.654235 | − | 1.73470i | ||||
\(958\) | 8.34391i | 0.269579i | ||||||||
\(959\) | −20.4241 | + | 26.2883i | −0.659530 | + | 0.848895i | ||||
\(960\) | 0.0962606 | + | 0.117456i | 0.00310680 | + | 0.00379086i | ||||
\(961\) | 15.1094 | + | 26.1703i | 0.487401 | + | 0.844203i | ||||
\(962\) | −1.81086 | + | 0.573106i | −0.0583846 | + | 0.0184777i | ||||
\(963\) | −5.33922 | + | 6.07163i | −0.172054 | + | 0.195656i | ||||
\(964\) | −3.89705 | − | 6.74990i | −0.125516 | − | 0.217400i | ||||
\(965\) | −1.30755 | −0.0420914 | ||||||||
\(966\) | −2.68475 | + | 4.94296i | −0.0863803 | + | 0.159037i | ||||
\(967\) | 29.8126i | 0.958708i | 0.877622 | + | 0.479354i | \(0.159129\pi\) | ||||
−0.877622 | + | 0.479354i | \(0.840871\pi\) | |||||||
\(968\) | 10.5327 | + | 18.2431i | 0.338533 | + | 0.586356i | ||||
\(969\) | −4.99442 | − | 30.3785i | −0.160444 | − | 0.975899i | ||||
\(970\) | 0.795594 | + | 0.459336i | 0.0255450 | + | 0.0147484i | ||||
\(971\) | 21.8686 | + | 37.8776i | 0.701798 | + | 1.21555i | 0.967835 | + | 0.251587i | \(0.0809524\pi\) |
−0.266037 | + | 0.963963i | \(0.585714\pi\) | |||||||
\(972\) | 14.9324 | − | 4.47464i | 0.478958 | − | 0.143524i | ||||
\(973\) | 7.07830 | − | 51.3751i | 0.226920 | − | 1.64701i | ||||
\(974\) | − | 14.3215i | − | 0.458890i | ||||||
\(975\) | −27.8041 | + | 14.1045i | −0.890443 | + | 0.451706i | ||||
\(976\) | −2.01240 | − | 1.16186i | −0.0644153 | − | 0.0371902i | ||||
\(977\) | 3.38263 | − | 5.85889i | 0.108220 | − | 0.187443i | −0.806829 | − | 0.590785i | \(-0.798818\pi\) |
0.915049 | + | 0.403342i | \(0.132152\pi\) | |||||||
\(978\) | −10.7816 | + | 28.5873i | −0.344756 | + | 0.914120i | ||||
\(979\) | 19.1972i | 0.613546i | ||||||||
\(980\) | 0.165968 | − | 0.590875i | 0.00530166 | − | 0.0188748i | ||||
\(981\) | −22.5619 | − | 4.51956i | −0.720345 | − | 0.144298i | ||||
\(982\) | −6.62738 | + | 3.82632i | −0.211488 | + | 0.122103i | ||||
\(983\) | −15.7908 | − | 9.11680i | −0.503647 | − | 0.290781i | 0.226571 | − | 0.973995i | \(-0.427248\pi\) |
−0.730218 | + | 0.683214i | \(0.760582\pi\) | |||||||
\(984\) | 15.3709 | − | 2.52707i | 0.490006 | − | 0.0805601i | ||||
\(985\) | −0.425017 | + | 0.245384i | −0.0135422 | + | 0.00781857i | ||||
\(986\) | − | 15.6209i | − | 0.497472i | ||||||
\(987\) | −20.5984 | − | 33.6246i | −0.655655 | − | 1.07028i | ||||
\(988\) | 16.1889 | − | 17.7053i | 0.515037 | − | 0.563279i | ||||
\(989\) | −10.3084 | + | 5.95155i | −0.327788 | + | 0.189248i | ||||
\(990\) | −0.983577 | + | 1.11850i | −0.0312601 | + | 0.0355483i | ||||
\(991\) | 6.85129 | − | 11.8668i | 0.217638 | − | 0.376961i | −0.736447 | − | 0.676495i | \(-0.763498\pi\) |
0.954085 | + | 0.299534i | \(0.0968313\pi\) | |||||||
\(992\) | 0.441909 | + | 0.765409i | 0.0140306 | + | 0.0243018i | ||||
\(993\) | −4.56192 | − | 5.56639i | −0.144768 | − | 0.176644i | ||||
\(994\) | −2.65203 | − | 6.51310i | −0.0841172 | − | 0.206583i | ||||
\(995\) | −0.0515524 | −0.00163432 | ||||||||
\(996\) | −1.74891 | + | 4.63722i | −0.0554162 | + | 0.146936i | ||||
\(997\) | −43.3774 | − | 25.0440i | −1.37378 | − | 0.793151i | −0.382376 | − | 0.924007i | \(-0.624894\pi\) |
−0.991401 | + | 0.130856i | \(0.958227\pi\) | |||||||
\(998\) | −23.5183 | − | 13.5783i | −0.744460 | − | 0.429814i | ||||
\(999\) | 2.32159 | + | 1.45020i | 0.0734520 | + | 0.0458822i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 546.2.bg.b.311.9 | yes | 36 | |
3.2 | odd | 2 | 546.2.bg.a.311.3 | ✓ | 36 | ||
7.5 | odd | 6 | inner | 546.2.bg.b.467.3 | yes | 36 | |
13.12 | even | 2 | 546.2.bg.a.311.9 | yes | 36 | ||
21.5 | even | 6 | 546.2.bg.a.467.9 | yes | 36 | ||
39.38 | odd | 2 | inner | 546.2.bg.b.311.3 | yes | 36 | |
91.12 | odd | 6 | 546.2.bg.a.467.3 | yes | 36 | ||
273.194 | even | 6 | inner | 546.2.bg.b.467.9 | yes | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.bg.a.311.3 | ✓ | 36 | 3.2 | odd | 2 | ||
546.2.bg.a.311.9 | yes | 36 | 13.12 | even | 2 | ||
546.2.bg.a.467.3 | yes | 36 | 91.12 | odd | 6 | ||
546.2.bg.a.467.9 | yes | 36 | 21.5 | even | 6 | ||
546.2.bg.b.311.3 | yes | 36 | 39.38 | odd | 2 | inner | |
546.2.bg.b.311.9 | yes | 36 | 1.1 | even | 1 | trivial | |
546.2.bg.b.467.3 | yes | 36 | 7.5 | odd | 6 | inner | |
546.2.bg.b.467.9 | yes | 36 | 273.194 | even | 6 | inner |