Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [504,2,Mod(155,504)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(504, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("504.155");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 504 = 2^{3} \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 504.br (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: | \(4.02446026187\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(72\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 155.8 | ||
Character | \(\chi\) | \(=\) | 504.155 |
Dual form | 504.2.br.a.491.8 |
$q$-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 \(\left(\mathbb{Z}/504\mathbb{Z}\right)^\times\).
\(n\) | \(73\) | \(127\) | \(253\) | \(281\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.33761 | + | 0.459123i | −0.945834 | + | 0.324649i | ||||
\(3\) | 0.847856 | − | 1.51034i | 0.489510 | − | 0.871998i | ||||
\(4\) | 1.57841 | − | 1.22826i | 0.789206 | − | 0.614129i | ||||
\(5\) | 0.551827 | + | 0.955792i | 0.246784 | + | 0.427443i | 0.962632 | − | 0.270814i | \(-0.0872927\pi\) |
−0.715847 | + | 0.698257i | \(0.753959\pi\) | |||||||
\(6\) | −0.440668 | + | 2.40953i | −0.179902 | + | 0.983685i | ||||
\(7\) | −0.866025 | − | 0.500000i | −0.327327 | − | 0.188982i | ||||
\(8\) | −1.54738 | + | 2.36762i | −0.547081 | + | 0.837079i | ||||
\(9\) | −1.56228 | − | 2.56111i | −0.520760 | − | 0.853703i | ||||
\(10\) | −1.17696 | − | 1.02512i | −0.372186 | − | 0.324172i | ||||
\(11\) | −4.37593 | − | 2.52645i | −1.31939 | − | 0.761752i | −0.335762 | − | 0.941947i | \(-0.608994\pi\) |
−0.983631 | + | 0.180195i | \(0.942327\pi\) | |||||||
\(12\) | −0.516827 | − | 3.42533i | −0.149195 | − | 0.988808i | ||||
\(13\) | 3.85751 | − | 2.22713i | 1.06988 | − | 0.617696i | 0.141732 | − | 0.989905i | \(-0.454733\pi\) |
0.928149 | + | 0.372209i | \(0.121400\pi\) | |||||||
\(14\) | 1.38797 | + | 0.271193i | 0.370950 | + | 0.0724795i | ||||
\(15\) | 1.91144 | − | 0.0230745i | 0.493533 | − | 0.00595782i | ||||
\(16\) | 0.982764 | − | 3.87739i | 0.245691 | − | 0.969348i | ||||
\(17\) | − | 2.89070i | − | 0.701098i | −0.936544 | − | 0.350549i | \(-0.885995\pi\) | ||
0.936544 | − | 0.350549i | \(-0.114005\pi\) | |||||||
\(18\) | 3.26559 | + | 2.70849i | 0.769707 | + | 0.638397i | ||||
\(19\) | −2.04644 | −0.469486 | −0.234743 | − | 0.972057i | \(-0.575425\pi\) | ||||
−0.234743 | + | 0.972057i | \(0.575425\pi\) | |||||||
\(20\) | 2.04497 | + | 0.830847i | 0.457269 | + | 0.185783i | ||||
\(21\) | −1.48944 | + | 0.884069i | −0.325022 | + | 0.192920i | ||||
\(22\) | 7.01325 | + | 1.37031i | 1.49523 | + | 0.292151i | ||||
\(23\) | 0.713863 | + | 1.23645i | 0.148851 | + | 0.257817i | 0.930803 | − | 0.365521i | \(-0.119109\pi\) |
−0.781952 | + | 0.623338i | \(0.785776\pi\) | |||||||
\(24\) | 2.26396 | + | 4.34448i | 0.462130 | + | 0.886812i | ||||
\(25\) | 1.89097 | − | 3.27526i | 0.378195 | − | 0.655053i | ||||
\(26\) | −4.13732 | + | 4.75011i | −0.811395 | + | 0.931574i | ||||
\(27\) | −5.19275 | + | 0.188130i | −0.999344 | + | 0.0362057i | ||||
\(28\) | −1.98107 | + | 0.274497i | −0.374388 | + | 0.0518751i | ||||
\(29\) | 0.314341 | − | 0.544454i | 0.0583716 | − | 0.101103i | −0.835363 | − | 0.549699i | \(-0.814742\pi\) |
0.893735 | + | 0.448596i | \(0.148076\pi\) | |||||||
\(30\) | −2.54618 | + | 0.908454i | −0.464866 | + | 0.165860i | ||||
\(31\) | −2.12729 | + | 1.22819i | −0.382072 | + | 0.220590i | −0.678719 | − | 0.734398i | \(-0.737465\pi\) |
0.296647 | + | 0.954987i | \(0.404131\pi\) | |||||||
\(32\) | 0.465645 | + | 5.63766i | 0.0823151 | + | 0.996606i | ||||
\(33\) | −7.52596 | + | 4.46710i | −1.31010 | + | 0.777623i | ||||
\(34\) | 1.32719 | + | 3.86663i | 0.227611 | + | 0.663122i | ||||
\(35\) | − | 1.10365i | − | 0.186551i | ||||||
\(36\) | −5.61162 | − | 2.12360i | −0.935271 | − | 0.353933i | ||||
\(37\) | − | 9.44610i | − | 1.55293i | −0.630161 | − | 0.776464i | \(-0.717011\pi\) | ||
0.630161 | − | 0.776464i | \(-0.282989\pi\) | |||||||
\(38\) | 2.73735 | − | 0.939570i | 0.444056 | − | 0.152418i | ||||
\(39\) | −0.0931273 | − | 7.71446i | −0.0149123 | − | 1.23530i | ||||
\(40\) | −3.11684 | − | 0.172458i | −0.492815 | − | 0.0272680i | ||||
\(41\) | 3.45334 | − | 1.99379i | 0.539321 | − | 0.311377i | −0.205482 | − | 0.978661i | \(-0.565876\pi\) |
0.744804 | + | 0.667283i | \(0.232543\pi\) | |||||||
\(42\) | 1.58639 | − | 1.86638i | 0.244786 | − | 0.287988i | ||||
\(43\) | 0.376249 | − | 0.651683i | 0.0573775 | − | 0.0993807i | −0.835910 | − | 0.548867i | \(-0.815059\pi\) |
0.893287 | + | 0.449486i | \(0.148393\pi\) | |||||||
\(44\) | −10.0101 | + | 1.38700i | −1.50909 | + | 0.209099i | ||||
\(45\) | 1.58578 | − | 2.90650i | 0.236394 | − | 0.433276i | ||||
\(46\) | −1.52255 | − | 1.32613i | −0.224488 | − | 0.195528i | ||||
\(47\) | −4.96806 | + | 8.60493i | −0.724666 | + | 1.25516i | 0.234446 | + | 0.972129i | \(0.424672\pi\) |
−0.959111 | + | 0.283029i | \(0.908661\pi\) | |||||||
\(48\) | −5.02296 | − | 4.77178i | −0.725001 | − | 0.688748i | ||||
\(49\) | 0.500000 | + | 0.866025i | 0.0714286 | + | 0.123718i | ||||
\(50\) | −1.02564 | + | 5.24922i | −0.145047 | + | 0.742352i | ||||
\(51\) | −4.36595 | − | 2.45090i | −0.611356 | − | 0.343194i | ||||
\(52\) | 3.35324 | − | 8.25335i | 0.465011 | − | 1.14453i | ||||
\(53\) | −0.509103 | −0.0699306 | −0.0349653 | − | 0.999389i | \(-0.511132\pi\) | ||||
−0.0349653 | + | 0.999389i | \(0.511132\pi\) | |||||||
\(54\) | 6.85950 | − | 2.63576i | 0.933460 | − | 0.358681i | ||||
\(55\) | − | 5.57664i | − | 0.751954i | ||||||
\(56\) | 2.52388 | − | 1.27673i | 0.337268 | − | 0.170610i | ||||
\(57\) | −1.73509 | + | 3.09083i | −0.229818 | + | 0.409391i | ||||
\(58\) | −0.170494 | + | 0.872590i | −0.0223870 | + | 0.114577i | ||||
\(59\) | 11.0827 | − | 6.39860i | 1.44284 | − | 0.833027i | 0.444806 | − | 0.895627i | \(-0.353273\pi\) |
0.998039 | + | 0.0626002i | \(0.0199393\pi\) | |||||||
\(60\) | 2.98870 | − | 2.38417i | 0.385840 | − | 0.307795i | ||||
\(61\) | 1.50179 | + | 0.867059i | 0.192285 | + | 0.111016i | 0.593052 | − | 0.805164i | \(-0.297923\pi\) |
−0.400767 | + | 0.916180i | \(0.631256\pi\) | |||||||
\(62\) | 2.28160 | − | 2.61953i | 0.289763 | − | 0.332681i | ||||
\(63\) | 0.0724201 | + | 2.99913i | 0.00912408 | + | 0.377854i | ||||
\(64\) | −3.21123 | − | 7.32721i | −0.401404 | − | 0.915901i | ||||
\(65\) | 4.25735 | + | 2.45798i | 0.528060 | + | 0.304875i | ||||
\(66\) | 8.01587 | − | 9.43060i | 0.986685 | − | 1.16083i | ||||
\(67\) | −2.45861 | − | 4.25843i | −0.300367 | − | 0.520251i | 0.675852 | − | 0.737037i | \(-0.263776\pi\) |
−0.976219 | + | 0.216787i | \(0.930442\pi\) | |||||||
\(68\) | −3.55053 | − | 4.56271i | −0.430564 | − | 0.553310i | ||||
\(69\) | 2.47271 | − | 0.0298501i | 0.297680 | − | 0.00359352i | ||||
\(70\) | 0.506713 | + | 1.47626i | 0.0605638 | + | 0.176447i | ||||
\(71\) | −5.16985 | −0.613548 | −0.306774 | − | 0.951782i | \(-0.599250\pi\) | ||||
−0.306774 | + | 0.951782i | \(0.599250\pi\) | |||||||
\(72\) | 8.48117 | + | 0.264124i | 0.999515 | + | 0.0311273i | ||||
\(73\) | 3.07080 | 0.359410 | 0.179705 | − | 0.983721i | \(-0.442486\pi\) | ||||
0.179705 | + | 0.983721i | \(0.442486\pi\) | |||||||
\(74\) | 4.33693 | + | 12.6352i | 0.504157 | + | 1.46881i | ||||
\(75\) | −3.34350 | − | 5.63298i | −0.386074 | − | 0.650440i | ||||
\(76\) | −3.23013 | + | 2.51356i | −0.370521 | + | 0.288325i | ||||
\(77\) | 2.52645 | + | 4.37593i | 0.287915 | + | 0.498684i | ||||
\(78\) | 3.66646 | + | 10.2762i | 0.415144 | + | 1.16355i | ||||
\(79\) | 10.1848 | + | 5.88019i | 1.14588 | + | 0.661573i | 0.947880 | − | 0.318629i | \(-0.103222\pi\) |
0.197999 | + | 0.980202i | \(0.436556\pi\) | |||||||
\(80\) | 4.24830 | − | 1.20033i | 0.474974 | − | 0.134201i | ||||
\(81\) | −4.11856 | + | 8.00234i | −0.457618 | + | 0.889149i | ||||
\(82\) | −3.70384 | + | 4.25242i | −0.409020 | + | 0.469602i | ||||
\(83\) | −5.59514 | − | 3.23036i | −0.614146 | − | 0.354578i | 0.160440 | − | 0.987046i | \(-0.448709\pi\) |
−0.774586 | + | 0.632468i | \(0.782042\pi\) | |||||||
\(84\) | −1.26508 | + | 3.22484i | −0.138032 | + | 0.351859i | ||||
\(85\) | 2.76291 | − | 1.59517i | 0.299679 | − | 0.173020i | ||||
\(86\) | −0.204073 | + | 1.04444i | −0.0220057 | + | 0.112625i | ||||
\(87\) | −0.555798 | − | 0.936382i | −0.0595878 | − | 0.100391i | ||||
\(88\) | 12.7529 | − | 6.45117i | 1.35946 | − | 0.687697i | ||||
\(89\) | 6.63971i | 0.703808i | 0.936036 | + | 0.351904i | \(0.114466\pi\) | ||||
−0.936036 | + | 0.351904i | \(0.885534\pi\) | |||||||
\(90\) | −0.786713 | + | 4.61584i | −0.0829268 | + | 0.486552i | ||||
\(91\) | −4.45427 | −0.466934 | ||||||||
\(92\) | 2.64544 | + | 1.07481i | 0.275807 | + | 0.112057i | ||||
\(93\) | 0.0513566 | + | 4.25427i | 0.00532543 | + | 0.441147i | ||||
\(94\) | 2.69461 | − | 13.7910i | 0.277928 | − | 1.42243i | ||||
\(95\) | −1.12928 | − | 1.95597i | −0.115862 | − | 0.200679i | ||||
\(96\) | 8.90960 | + | 4.07664i | 0.909333 | + | 0.416070i | ||||
\(97\) | −0.323290 | + | 0.559955i | −0.0328251 | + | 0.0568548i | −0.881971 | − | 0.471303i | \(-0.843784\pi\) |
0.849146 | + | 0.528158i | \(0.177117\pi\) | |||||||
\(98\) | −1.06642 | − | 0.928844i | −0.107725 | − | 0.0938274i | ||||
\(99\) | 0.365931 | + | 15.1543i | 0.0367775 | + | 1.52306i | ||||
\(100\) | −1.03813 | − | 7.49232i | −0.103813 | − | 0.749232i | ||||
\(101\) | 4.30714 | − | 7.46018i | 0.428576 | − | 0.742316i | −0.568171 | − | 0.822911i | \(-0.692349\pi\) |
0.996747 | + | 0.0805948i | \(0.0256820\pi\) | |||||||
\(102\) | 6.96522 | + | 1.27384i | 0.689659 | + | 0.126129i | ||||
\(103\) | −5.91810 | + | 3.41682i | −0.583128 | + | 0.336669i | −0.762375 | − | 0.647135i | \(-0.775967\pi\) |
0.179248 | + | 0.983804i | \(0.442634\pi\) | |||||||
\(104\) | −0.696028 | + | 12.5793i | −0.0682512 | + | 1.23351i | ||||
\(105\) | −1.66690 | − | 0.935739i | −0.162672 | − | 0.0913188i | ||||
\(106\) | 0.680982 | − | 0.233741i | 0.0661428 | − | 0.0227029i | ||||
\(107\) | − | 17.5169i | − | 1.69342i | −0.532054 | − | 0.846710i | \(-0.678580\pi\) | ||
0.532054 | − | 0.846710i | \(-0.321420\pi\) | |||||||
\(108\) | −7.96522 | + | 6.67498i | −0.766453 | + | 0.642300i | ||||
\(109\) | 18.7050i | 1.79161i | 0.444443 | + | 0.895807i | \(0.353401\pi\) | ||||
−0.444443 | + | 0.895807i | \(0.646599\pi\) | |||||||
\(110\) | 2.56037 | + | 7.45938i | 0.244121 | + | 0.711224i | ||||
\(111\) | −14.2669 | − | 8.00893i | −1.35415 | − | 0.760174i | ||||
\(112\) | −2.78980 | + | 2.86654i | −0.263611 | + | 0.270862i | ||||
\(113\) | −10.7371 | + | 6.19906i | −1.01006 | + | 0.583158i | −0.911209 | − | 0.411944i | \(-0.864850\pi\) |
−0.0988505 | + | 0.995102i | \(0.531517\pi\) | |||||||
\(114\) | 0.901801 | − | 4.93096i | 0.0844614 | − | 0.461826i | ||||
\(115\) | −0.787857 | + | 1.36461i | −0.0734680 | + | 0.127250i | ||||
\(116\) | −0.172571 | − | 1.24546i | −0.0160228 | − | 0.115638i | ||||
\(117\) | −11.7304 | − | 6.40009i | −1.08448 | − | 0.591689i | ||||
\(118\) | −11.8866 | + | 13.6472i | −1.09425 | + | 1.25632i | ||||
\(119\) | −1.44535 | + | 2.50342i | −0.132495 | + | 0.229488i | ||||
\(120\) | −2.90310 | + | 4.56128i | −0.265015 | + | 0.416386i | ||||
\(121\) | 7.26586 | + | 12.5848i | 0.660533 | + | 1.14408i | ||||
\(122\) | −2.40690 | − | 0.470281i | −0.217910 | − | 0.0425773i | ||||
\(123\) | −0.0833699 | − | 6.90618i | −0.00751721 | − | 0.622709i | ||||
\(124\) | −1.84920 | + | 4.55145i | −0.166063 | + | 0.408732i | ||||
\(125\) | 9.69223 | 0.866899 | ||||||||
\(126\) | −1.47384 | − | 3.97842i | −0.131300 | − | 0.354426i | ||||
\(127\) | 12.2831i | 1.08995i | 0.838453 | + | 0.544974i | \(0.183460\pi\) | ||||
−0.838453 | + | 0.544974i | \(0.816540\pi\) | |||||||
\(128\) | 7.65948 | + | 8.32661i | 0.677008 | + | 0.735975i | ||||
\(129\) | −0.665260 | − | 1.12080i | −0.0585729 | − | 0.0986809i | ||||
\(130\) | −6.82320 | − | 1.33318i | −0.598435 | − | 0.116927i | ||||
\(131\) | 19.6423 | − | 11.3405i | 1.71616 | − | 0.990825i | 0.790505 | − | 0.612455i | \(-0.209818\pi\) |
0.925654 | − | 0.378370i | \(-0.123515\pi\) | |||||||
\(132\) | −6.39231 | + | 16.2948i | −0.556379 | + | 1.41828i | ||||
\(133\) | 1.77227 | + | 1.02322i | 0.153675 | + | 0.0887245i | ||||
\(134\) | 5.24381 | + | 4.56733i | 0.452996 | + | 0.394557i | ||||
\(135\) | −3.04531 | − | 4.85937i | −0.262098 | − | 0.418228i | ||||
\(136\) | 6.84407 | + | 4.47301i | 0.586875 | + | 0.383557i | ||||
\(137\) | 5.46474 | + | 3.15507i | 0.466884 | + | 0.269556i | 0.714934 | − | 0.699192i | \(-0.246457\pi\) |
−0.248050 | + | 0.968747i | \(0.579790\pi\) | |||||||
\(138\) | −3.29383 | + | 1.17521i | −0.280389 | + | 0.100040i | ||||
\(139\) | 10.2915 | + | 17.8254i | 0.872913 | + | 1.51193i | 0.858970 | + | 0.512027i | \(0.171105\pi\) |
0.0139432 | + | 0.999903i | \(0.495562\pi\) | |||||||
\(140\) | −1.35557 | − | 1.74202i | −0.114567 | − | 0.147227i | ||||
\(141\) | 8.78421 | + | 14.7992i | 0.739764 | + | 1.24632i | ||||
\(142\) | 6.91525 | − | 2.37360i | 0.580315 | − | 0.199188i | ||||
\(143\) | −22.5069 | −1.88212 | ||||||||
\(144\) | −11.4658 | + | 3.54061i | −0.955482 | + | 0.295051i | ||||
\(145\) | 0.693847 | 0.0576208 | ||||||||
\(146\) | −4.10754 | + | 1.40988i | −0.339943 | + | 0.116682i | ||||
\(147\) | 1.73192 | − | 0.0209074i | 0.142847 | − | 0.00172441i | ||||
\(148\) | −11.6022 | − | 14.9098i | −0.953699 | − | 1.22558i | ||||
\(149\) | 10.2993 | + | 17.8389i | 0.843750 | + | 1.46142i | 0.886702 | + | 0.462341i | \(0.152990\pi\) |
−0.0429519 | + | 0.999077i | \(0.513676\pi\) | |||||||
\(150\) | 7.05854 | + | 5.99965i | 0.576327 | + | 0.489870i | ||||
\(151\) | 15.3304 | + | 8.85102i | 1.24757 | + | 0.720286i | 0.970625 | − | 0.240599i | \(-0.0773439\pi\) |
0.276947 | + | 0.960885i | \(0.410677\pi\) | |||||||
\(152\) | 3.16662 | − | 4.84520i | 0.256847 | − | 0.392997i | ||||
\(153\) | −7.40340 | + | 4.51608i | −0.598529 | + | 0.365104i | ||||
\(154\) | −5.38850 | − | 4.69335i | −0.434218 | − | 0.378201i | ||||
\(155\) | −2.34779 | − | 1.35550i | −0.188579 | − | 0.108876i | ||||
\(156\) | −9.62234 | − | 12.0622i | −0.770404 | − | 0.965749i | ||||
\(157\) | −15.0881 | + | 8.71112i | −1.20416 | + | 0.695223i | −0.961478 | − | 0.274883i | \(-0.911361\pi\) |
−0.242683 | + | 0.970106i | \(0.578028\pi\) | |||||||
\(158\) | −16.3230 | − | 3.18934i | −1.29859 | − | 0.253730i | ||||
\(159\) | −0.431646 | + | 0.768920i | −0.0342317 | + | 0.0609793i | ||||
\(160\) | −5.13147 | + | 3.55607i | −0.405678 | + | 0.281132i | ||||
\(161\) | − | 1.42773i | − | 0.112521i | ||||||
\(162\) | 1.83497 | − | 12.5950i | 0.144169 | − | 0.989553i | ||||
\(163\) | 15.5817 | 1.22046 | 0.610228 | − | 0.792226i | \(-0.291078\pi\) | ||||
0.610228 | + | 0.792226i | \(0.291078\pi\) | |||||||
\(164\) | 3.00191 | − | 7.38861i | 0.234410 | − | 0.576954i | ||||
\(165\) | −8.42265 | − | 4.72819i | −0.655702 | − | 0.368089i | ||||
\(166\) | 8.96726 | + | 1.75210i | 0.695994 | + | 0.135989i | ||||
\(167\) | 0.892269 | + | 1.54545i | 0.0690458 | + | 0.119591i | 0.898482 | − | 0.439011i | \(-0.144671\pi\) |
−0.829436 | + | 0.558602i | \(0.811338\pi\) | |||||||
\(168\) | 0.211587 | − | 4.89441i | 0.0163243 | − | 0.377612i | ||||
\(169\) | 3.42025 | − | 5.92405i | 0.263097 | − | 0.455697i | ||||
\(170\) | −2.96332 | + | 3.40223i | −0.227276 | + | 0.260939i | ||||
\(171\) | 3.19712 | + | 5.24116i | 0.244490 | + | 0.400802i | ||||
\(172\) | −0.206559 | − | 1.49075i | −0.0157499 | − | 0.113669i | ||||
\(173\) | 5.23200 | − | 9.06208i | 0.397781 | − | 0.688978i | −0.595671 | − | 0.803229i | \(-0.703114\pi\) |
0.993452 | + | 0.114251i | \(0.0364469\pi\) | |||||||
\(174\) | 1.17336 | + | 0.997336i | 0.0889519 | + | 0.0756078i | ||||
\(175\) | −3.27526 | + | 1.89097i | −0.247587 | + | 0.142944i | ||||
\(176\) | −14.0965 | + | 14.4843i | −1.06257 | + | 1.09180i | ||||
\(177\) | −0.267556 | − | 22.1638i | −0.0201108 | − | 1.66593i | ||||
\(178\) | −3.04845 | − | 8.88136i | −0.228491 | − | 0.665686i | ||||
\(179\) | − | 3.28458i | − | 0.245501i | −0.992438 | − | 0.122751i | \(-0.960829\pi\) | ||
0.992438 | − | 0.122751i | \(-0.0391715\pi\) | |||||||
\(180\) | −1.06692 | − | 6.53540i | −0.0795239 | − | 0.487120i | ||||
\(181\) | − | 22.2835i | − | 1.65632i | −0.560491 | − | 0.828160i | \(-0.689388\pi\) | ||
0.560491 | − | 0.828160i | \(-0.310612\pi\) | |||||||
\(182\) | 5.95808 | − | 2.04506i | 0.441642 | − | 0.151590i | ||||
\(183\) | 2.58286 | − | 1.53308i | 0.190930 | − | 0.113328i | ||||
\(184\) | −4.03205 | − | 0.223098i | −0.297247 | − | 0.0164470i | ||||
\(185\) | 9.02850 | − | 5.21261i | 0.663789 | − | 0.383239i | ||||
\(186\) | −2.02193 | − | 5.66698i | −0.148255 | − | 0.415523i | ||||
\(187\) | −7.30320 | + | 12.6495i | −0.534063 | + | 0.925024i | ||||
\(188\) | 2.72743 | + | 19.6842i | 0.198919 | + | 1.43562i | ||||
\(189\) | 4.59111 | + | 2.43345i | 0.333954 | + | 0.177007i | ||||
\(190\) | 2.40857 | + | 2.09785i | 0.174736 | + | 0.152194i | ||||
\(191\) | 6.07042 | − | 10.5143i | 0.439240 | − | 0.760786i | −0.558391 | − | 0.829578i | \(-0.688581\pi\) |
0.997631 | + | 0.0687916i | \(0.0219143\pi\) | |||||||
\(192\) | −13.7893 | − | 1.36235i | −0.995155 | − | 0.0983192i | ||||
\(193\) | 12.1747 | + | 21.0872i | 0.876354 | + | 1.51789i | 0.855313 | + | 0.518111i | \(0.173365\pi\) |
0.0210410 | + | 0.999779i | \(0.493302\pi\) | |||||||
\(194\) | 0.175348 | − | 0.897433i | 0.0125893 | − | 0.0644319i | ||||
\(195\) | 7.32202 | − | 4.34605i | 0.524341 | − | 0.311227i | ||||
\(196\) | 1.85291 | + | 0.752815i | 0.132351 | + | 0.0537725i | ||||
\(197\) | 8.49270 | 0.605080 | 0.302540 | − | 0.953137i | \(-0.402165\pi\) | ||||
0.302540 | + | 0.953137i | \(0.402165\pi\) | |||||||
\(198\) | −7.44715 | − | 20.1025i | −0.529246 | − | 1.42862i | ||||
\(199\) | − | 24.0323i | − | 1.70360i | −0.523865 | − | 0.851801i | \(-0.675510\pi\) | ||
0.523865 | − | 0.851801i | \(-0.324490\pi\) | |||||||
\(200\) | 4.82852 | + | 9.54518i | 0.341428 | + | 0.674946i | ||||
\(201\) | −8.51625 | + | 0.102806i | −0.600690 | + | 0.00725140i | ||||
\(202\) | −2.33613 | + | 11.9563i | −0.164370 | + | 0.841245i | ||||
\(203\) | −0.544454 | + | 0.314341i | −0.0382132 | + | 0.0220624i | ||||
\(204\) | −9.90160 | + | 1.49399i | −0.693251 | + | 0.104600i | ||||
\(205\) | 3.81129 | + | 2.20045i | 0.266192 | + | 0.153686i | ||||
\(206\) | 6.34738 | − | 7.28752i | 0.442243 | − | 0.507745i | ||||
\(207\) | 2.05142 | − | 3.75996i | 0.142584 | − | 0.261335i | ||||
\(208\) | −4.84445 | − | 17.1458i | −0.335902 | − | 1.18885i | ||||
\(209\) | 8.95510 | + | 5.17023i | 0.619437 | + | 0.357632i | ||||
\(210\) | 2.65928 | + | 0.486344i | 0.183508 | + | 0.0335609i | ||||
\(211\) | −2.16736 | − | 3.75398i | −0.149207 | − | 0.258435i | 0.781727 | − | 0.623620i | \(-0.214339\pi\) |
−0.930935 | + | 0.365186i | \(0.881006\pi\) | |||||||
\(212\) | −0.803573 | + | 0.625309i | −0.0551896 | + | 0.0429464i | ||||
\(213\) | −4.38329 | + | 7.80825i | −0.300338 | + | 0.535013i | ||||
\(214\) | 8.04241 | + | 23.4308i | 0.549768 | + | 1.60170i | ||||
\(215\) | 0.830498 | 0.0566395 | ||||||||
\(216\) | 7.58973 | − | 12.5855i | 0.516416 | − | 0.856338i | ||||
\(217\) | 2.45638 | 0.166750 | ||||||||
\(218\) | −8.58790 | − | 25.0200i | −0.581646 | − | 1.69457i | ||||
\(219\) | 2.60360 | − | 4.63797i | 0.175935 | − | 0.313405i | ||||
\(220\) | −6.84955 | − | 8.80223i | −0.461797 | − | 0.593446i | ||||
\(221\) | −6.43798 | − | 11.1509i | −0.433065 | − | 0.750091i | ||||
\(222\) | 22.7606 | + | 4.16259i | 1.52759 | + | 0.279375i | ||||
\(223\) | −13.3580 | − | 7.71226i | −0.894519 | − | 0.516451i | −0.0191014 | − | 0.999818i | \(-0.506081\pi\) |
−0.875418 | + | 0.483366i | \(0.839414\pi\) | |||||||
\(224\) | 2.41557 | − | 5.11518i | 0.161397 | − | 0.341772i | ||||
\(225\) | −11.3425 | + | 0.273889i | −0.756170 | + | 0.0182593i | ||||
\(226\) | 11.5159 | − | 13.2216i | 0.766027 | − | 0.879486i | ||||
\(227\) | −17.4675 | − | 10.0849i | −1.15936 | − | 0.669358i | −0.208211 | − | 0.978084i | \(-0.566764\pi\) |
−0.951151 | + | 0.308726i | \(0.900097\pi\) | |||||||
\(228\) | 1.05766 | + | 7.00974i | 0.0700451 | + | 0.464232i | ||||
\(229\) | 2.11212 | − | 1.21944i | 0.139573 | − | 0.0805826i | −0.428587 | − | 0.903500i | \(-0.640989\pi\) |
0.568161 | + | 0.822918i | \(0.307655\pi\) | |||||||
\(230\) | 0.427323 | − | 2.18704i | 0.0281769 | − | 0.144209i | ||||
\(231\) | 8.75123 | − | 0.105643i | 0.575789 | − | 0.00695079i | ||||
\(232\) | 0.802655 | + | 1.58672i | 0.0526969 | + | 0.104173i | ||||
\(233\) | 28.8925i | 1.89281i | 0.322983 | + | 0.946405i | \(0.395314\pi\) | ||||
−0.322983 | + | 0.946405i | \(0.604686\pi\) | |||||||
\(234\) | 18.6292 | + | 3.17512i | 1.21783 | + | 0.207564i | ||||
\(235\) | −10.9660 | −0.715345 | ||||||||
\(236\) | 9.63393 | − | 23.7120i | 0.627115 | − | 1.54352i | ||||
\(237\) | 17.5164 | − | 10.3970i | 1.13781 | − | 0.675357i | ||||
\(238\) | 0.783939 | − | 4.01220i | 0.0508152 | − | 0.260072i | ||||
\(239\) | 7.06875 | + | 12.2434i | 0.457239 | + | 0.791962i | 0.998814 | − | 0.0486910i | \(-0.0155050\pi\) |
−0.541575 | + | 0.840653i | \(0.682172\pi\) | |||||||
\(240\) | 1.78903 | − | 7.43410i | 0.115481 | − | 0.479869i | ||||
\(241\) | 11.1867 | − | 19.3759i | 0.720597 | − | 1.24811i | −0.240164 | − | 0.970732i | \(-0.577201\pi\) |
0.960761 | − | 0.277378i | \(-0.0894654\pi\) | |||||||
\(242\) | −15.4969 | − | 13.4977i | −0.996178 | − | 0.867665i | ||||
\(243\) | 8.59435 | + | 13.0053i | 0.551328 | + | 0.834289i | ||||
\(244\) | 3.43541 | − | 0.476010i | 0.219930 | − | 0.0304734i | ||||
\(245\) | −0.551827 | + | 0.955792i | −0.0352549 | + | 0.0610633i | ||||
\(246\) | 3.28231 | + | 9.19951i | 0.209272 | + | 0.586540i | ||||
\(247\) | −7.89417 | + | 4.55770i | −0.502294 | + | 0.290000i | ||||
\(248\) | 0.383836 | − | 6.93708i | 0.0243736 | − | 0.440505i | ||||
\(249\) | −9.62282 | + | 5.71171i | −0.609822 | + | 0.361965i | ||||
\(250\) | −12.9644 | + | 4.44993i | −0.819943 | + | 0.281438i | ||||
\(251\) | 4.86531i | 0.307096i | 0.988141 | + | 0.153548i | \(0.0490699\pi\) | ||||
−0.988141 | + | 0.153548i | \(0.950930\pi\) | |||||||
\(252\) | 3.79801 | + | 4.64490i | 0.239252 | + | 0.292601i | ||||
\(253\) | − | 7.21414i | − | 0.453549i | ||||||
\(254\) | −5.63945 | − | 16.4300i | −0.353851 | − | 1.03091i | ||||
\(255\) | −0.0667016 | − | 5.52541i | −0.00417701 | − | 0.346015i | ||||
\(256\) | −14.0683 | − | 7.62113i | −0.879272 | − | 0.476320i | ||||
\(257\) | 17.4415 | − | 10.0698i | 1.08797 | − | 0.628139i | 0.154934 | − | 0.987925i | \(-0.450483\pi\) |
0.933035 | + | 0.359785i | \(0.117150\pi\) | |||||||
\(258\) | 1.40445 | + | 1.19376i | 0.0874370 | + | 0.0743201i | ||||
\(259\) | −4.72305 | + | 8.18056i | −0.293476 | + | 0.508315i | ||||
\(260\) | 9.73889 | − | 1.34942i | 0.603980 | − | 0.0836874i | ||||
\(261\) | −1.88550 | + | 0.0455292i | −0.116709 | + | 0.00281819i | ||||
\(262\) | −21.0671 | + | 24.1875i | −1.30153 | + | 1.49431i | ||||
\(263\) | 11.7798 | − | 20.4033i | 0.726377 | − | 1.25812i | −0.232028 | − | 0.972709i | \(-0.574536\pi\) |
0.958405 | − | 0.285412i | \(-0.0921305\pi\) | |||||||
\(264\) | 1.06913 | − | 24.7309i | 0.0658003 | − | 1.52208i | ||||
\(265\) | −0.280936 | − | 0.486596i | −0.0172578 | − | 0.0298914i | ||||
\(266\) | −2.84040 | − | 0.554982i | −0.174156 | − | 0.0340281i | ||||
\(267\) | 10.0283 | + | 5.62952i | 0.613719 | + | 0.344521i | ||||
\(268\) | −9.11115 | − | 3.70176i | −0.556552 | − | 0.226121i | ||||
\(269\) | 2.52530 | 0.153970 | 0.0769852 | − | 0.997032i | \(-0.475471\pi\) | ||||
0.0769852 | + | 0.997032i | \(0.475471\pi\) | |||||||
\(270\) | 6.30449 | + | 5.10178i | 0.383679 | + | 0.310484i | ||||
\(271\) | 28.0117i | 1.70159i | 0.525500 | + | 0.850794i | \(0.323878\pi\) | ||||
−0.525500 | + | 0.850794i | \(0.676122\pi\) | |||||||
\(272\) | −11.2084 | − | 2.84088i | −0.679608 | − | 0.172253i | ||||
\(273\) | −3.77658 | + | 6.72748i | −0.228569 | + | 0.407166i | ||||
\(274\) | −8.75826 | − | 1.71127i | −0.529106 | − | 0.103381i | ||||
\(275\) | −16.5496 | + | 9.55489i | −0.997976 | + | 0.576182i | ||||
\(276\) | 3.86629 | − | 3.08425i | 0.232724 | − | 0.185650i | ||||
\(277\) | −16.5059 | − | 9.52970i | −0.991745 | − | 0.572584i | −0.0859497 | − | 0.996299i | \(-0.527392\pi\) |
−0.905796 | + | 0.423715i | \(0.860726\pi\) | |||||||
\(278\) | −21.9501 | − | 19.1184i | −1.31648 | − | 1.14664i | ||||
\(279\) | 6.46895 | + | 3.52944i | 0.387286 | + | 0.211302i | ||||
\(280\) | 2.61303 | + | 1.70777i | 0.156158 | + | 0.102059i | ||||
\(281\) | −19.0303 | − | 10.9871i | −1.13525 | − | 0.655437i | −0.190001 | − | 0.981784i | \(-0.560849\pi\) |
−0.945250 | + | 0.326346i | \(0.894182\pi\) | |||||||
\(282\) | −18.5445 | − | 15.7626i | −1.10431 | − | 0.938648i | ||||
\(283\) | −0.424809 | − | 0.735791i | −0.0252523 | − | 0.0437382i | 0.853123 | − | 0.521710i | \(-0.174706\pi\) |
−0.878375 | + | 0.477971i | \(0.841372\pi\) | |||||||
\(284\) | −8.16015 | + | 6.34991i | −0.484216 | + | 0.376798i | ||||
\(285\) | −3.91166 | + | 0.0472207i | −0.231707 | + | 0.00279711i | ||||
\(286\) | 30.1055 | − | 10.3335i | 1.78018 | − | 0.611030i | ||||
\(287\) | −3.98758 | −0.235379 | ||||||||
\(288\) | 13.7112 | − | 10.0002i | 0.807939 | − | 0.589266i | ||||
\(289\) | 8.64385 | 0.508462 | ||||||||
\(290\) | −0.928098 | + | 0.318561i | −0.0544998 | + | 0.0187066i | ||||
\(291\) | 0.571622 | + | 0.963041i | 0.0335090 | + | 0.0564545i | ||||
\(292\) | 4.84699 | − | 3.77174i | 0.283649 | − | 0.220724i | ||||
\(293\) | −11.0407 | − | 19.1230i | −0.645004 | − | 1.11718i | −0.984301 | − | 0.176501i | \(-0.943522\pi\) |
0.339296 | − | 0.940680i | \(-0.389811\pi\) | |||||||
\(294\) | −2.30704 | + | 0.823133i | −0.134550 | + | 0.0480061i | ||||
\(295\) | 12.2315 | + | 7.06184i | 0.712143 | + | 0.411156i | ||||
\(296\) | 22.3648 | + | 14.6167i | 1.29992 | + | 0.849578i | ||||
\(297\) | 23.1984 | + | 12.2959i | 1.34611 | + | 0.713483i | ||||
\(298\) | −21.9667 | − | 19.1329i | −1.27250 | − | 1.10834i | ||||
\(299\) | 5.50747 | + | 3.17974i | 0.318505 | + | 0.183889i | ||||
\(300\) | −12.1962 | − | 4.78447i | −0.704146 | − | 0.276231i | ||||
\(301\) | −0.651683 | + | 0.376249i | −0.0375624 | + | 0.0216867i | ||||
\(302\) | −24.5699 | − | 4.80068i | −1.41384 | − | 0.276248i | ||||
\(303\) | −7.61561 | − | 12.8304i | −0.437506 | − | 0.737089i | ||||
\(304\) | −2.01117 | + | 7.93486i | −0.115349 | + | 0.455096i | ||||
\(305\) | 1.91386i | 0.109588i | ||||||||
\(306\) | 7.82943 | − | 9.43984i | 0.447579 | − | 0.539640i | ||||
\(307\) | 1.59259 | 0.0908938 | 0.0454469 | − | 0.998967i | \(-0.485529\pi\) | ||||
0.0454469 | + | 0.998967i | \(0.485529\pi\) | |||||||
\(308\) | 9.36255 | + | 3.80389i | 0.533481 | + | 0.216747i | ||||
\(309\) | 0.142874 | + | 11.8353i | 0.00812780 | + | 0.673289i | ||||
\(310\) | 3.76277 | + | 0.735203i | 0.213711 | + | 0.0417567i | ||||
\(311\) | −3.05144 | − | 5.28525i | −0.173031 | − | 0.299699i | 0.766447 | − | 0.642308i | \(-0.222023\pi\) |
−0.939478 | + | 0.342609i | \(0.888689\pi\) | |||||||
\(312\) | 18.4090 | + | 11.7167i | 1.04220 | + | 0.663328i | ||||
\(313\) | 2.10943 | − | 3.65364i | 0.119232 | − | 0.206516i | −0.800232 | − | 0.599691i | \(-0.795290\pi\) |
0.919464 | + | 0.393175i | \(0.128623\pi\) | |||||||
\(314\) | 16.1825 | − | 18.5794i | 0.913234 | − | 1.04850i | ||||
\(315\) | −2.82658 | + | 1.72422i | −0.159260 | + | 0.0971486i | ||||
\(316\) | 23.2982 | − | 3.22819i | 1.31063 | − | 0.181600i | ||||
\(317\) | −8.07198 | + | 13.9811i | −0.453368 | + | 0.785256i | −0.998593 | − | 0.0530337i | \(-0.983111\pi\) |
0.545225 | + | 0.838290i | \(0.316444\pi\) | |||||||
\(318\) | 0.224345 | − | 1.22670i | 0.0125806 | − | 0.0687897i | ||||
\(319\) | −2.75107 | + | 1.58833i | −0.154030 | + | 0.0889294i | ||||
\(320\) | 5.23124 | − | 7.11262i | 0.292435 | − | 0.397607i | ||||
\(321\) | −26.4565 | − | 14.8518i | −1.47666 | − | 0.828946i | ||||
\(322\) | 0.655502 | + | 1.90974i | 0.0365297 | + | 0.106426i | ||||
\(323\) | 5.91565i | 0.329156i | ||||||||
\(324\) | 3.32816 | + | 17.6896i | 0.184898 | + | 0.982758i | ||||
\(325\) | − | 16.8458i | − | 0.934438i | ||||||
\(326\) | −20.8423 | + | 7.15394i | −1.15435 | + | 0.396220i | ||||
\(327\) | 28.2510 | + | 15.8591i | 1.56228 | + | 0.877013i | ||||
\(328\) | −0.623102 | + | 11.2613i | −0.0344051 | + | 0.621804i | ||||
\(329\) | 8.60493 | − | 4.96806i | 0.474405 | − | 0.273898i | ||||
\(330\) | 13.4371 | + | 2.45744i | 0.739686 | + | 0.135278i | ||||
\(331\) | −14.6729 | + | 25.4142i | −0.806495 | + | 1.39689i | 0.108783 | + | 0.994066i | \(0.465305\pi\) |
−0.915277 | + | 0.402824i | \(0.868029\pi\) | |||||||
\(332\) | −12.7991 | + | 1.77345i | −0.702444 | + | 0.0973305i | ||||
\(333\) | −24.1925 | + | 14.7575i | −1.32574 | + | 0.808704i | ||||
\(334\) | −1.90306 | − | 1.65756i | −0.104131 | − | 0.0906975i | ||||
\(335\) | 2.71345 | − | 4.69983i | 0.148252 | − | 0.256779i | ||||
\(336\) | 1.96412 | + | 6.64396i | 0.107151 | + | 0.362458i | ||||
\(337\) | 2.19627 | + | 3.80406i | 0.119639 | + | 0.207220i | 0.919625 | − | 0.392799i | \(-0.128493\pi\) |
−0.799986 | + | 0.600019i | \(0.795160\pi\) | |||||||
\(338\) | −1.85510 | + | 9.49441i | −0.100904 | + | 0.516428i | ||||
\(339\) | 0.259213 | + | 21.4726i | 0.0140785 | + | 1.16623i | ||||
\(340\) | 2.40173 | − | 5.91139i | 0.130252 | − | 0.320590i | ||||
\(341\) | 12.4118 | 0.672138 | ||||||||
\(342\) | −6.68284 | − | 5.54277i | −0.361367 | − | 0.299719i | ||||
\(343\) | − | 1.00000i | − | 0.0539949i | ||||||
\(344\) | 0.960736 | + | 1.89922i | 0.0517994 | + | 0.102399i | ||||
\(345\) | 1.39304 | + | 2.34693i | 0.0749987 | + | 0.126354i | ||||
\(346\) | −2.83777 | + | 14.5237i | −0.152559 | + | 0.780798i | ||||
\(347\) | 4.88761 | − | 2.82186i | 0.262380 | − | 0.151485i | −0.363040 | − | 0.931774i | \(-0.618261\pi\) |
0.625420 | + | 0.780288i | \(0.284928\pi\) | |||||||
\(348\) | −2.02740 | − | 0.795333i | −0.108680 | − | 0.0426343i | ||||
\(349\) | −25.4757 | − | 14.7084i | −1.36368 | − | 0.787321i | −0.373569 | − | 0.927602i | \(-0.621866\pi\) |
−0.990112 | + | 0.140281i | \(0.955199\pi\) | |||||||
\(350\) | 3.51284 | − | 4.03314i | 0.187769 | − | 0.215580i | ||||
\(351\) | −19.6121 | + | 12.2907i | −1.04682 | + | 0.656027i | ||||
\(352\) | 12.2056 | − | 25.8464i | 0.650561 | − | 1.37762i | ||||
\(353\) | −18.3067 | − | 10.5694i | −0.974365 | − | 0.562550i | −0.0738007 | − | 0.997273i | \(-0.523513\pi\) |
−0.900564 | + | 0.434723i | \(0.856846\pi\) | |||||||
\(354\) | 10.5338 | + | 29.5237i | 0.559865 | + | 1.56917i | ||||
\(355\) | −2.85286 | − | 4.94130i | −0.151414 | − | 0.262257i | ||||
\(356\) | 8.15528 | + | 10.4802i | 0.432229 | + | 0.555450i | ||||
\(357\) | 2.55558 | + | 4.30552i | 0.135256 | + | 0.227872i | ||||
\(358\) | 1.50803 | + | 4.39349i | 0.0797017 | + | 0.232203i | ||||
\(359\) | 11.5283 | 0.608440 | 0.304220 | − | 0.952602i | \(-0.401604\pi\) | ||||
0.304220 | + | 0.952602i | \(0.401604\pi\) | |||||||
\(360\) | 4.42769 | + | 8.25198i | 0.233360 | + | 0.434918i | ||||
\(361\) | −14.8121 | −0.779583 | ||||||||
\(362\) | 10.2309 | + | 29.8067i | 0.537723 | + | 1.56661i | ||||
\(363\) | 25.1678 | − | 0.303821i | 1.32097 | − | 0.0159464i | ||||
\(364\) | −7.03067 | + | 5.47099i | −0.368507 | + | 0.286758i | ||||
\(365\) | 1.69455 | + | 2.93505i | 0.0886969 | + | 0.153627i | ||||
\(366\) | −2.75099 | + | 3.23652i | −0.143797 | + | 0.169175i | ||||
\(367\) | 11.4483 | + | 6.60966i | 0.597594 | + | 0.345021i | 0.768095 | − | 0.640336i | \(-0.221205\pi\) |
−0.170500 | + | 0.985358i | \(0.554538\pi\) | |||||||
\(368\) | 5.49575 | − | 1.55279i | 0.286486 | − | 0.0809448i | ||||
\(369\) | −10.5014 | − | 5.72953i | −0.546681 | − | 0.298267i | ||||
\(370\) | −9.68340 | + | 11.1176i | −0.503416 | + | 0.577979i | ||||
\(371\) | 0.440896 | + | 0.254551i | 0.0228902 | + | 0.0132156i | ||||
\(372\) | 5.30640 | + | 6.65190i | 0.275124 | + | 0.344885i | ||||
\(373\) | −17.8798 | + | 10.3229i | −0.925782 | + | 0.534501i | −0.885475 | − | 0.464687i | \(-0.846167\pi\) |
−0.0403072 | + | 0.999187i | \(0.512834\pi\) | |||||||
\(374\) | 3.96116 | − | 20.2732i | 0.204827 | − | 1.04830i | ||||
\(375\) | 8.21761 | − | 14.6386i | 0.424356 | − | 0.755934i | ||||
\(376\) | −12.6857 | − | 25.0776i | −0.654216 | − | 1.29328i | ||||
\(377\) | − | 2.80032i | − | 0.144224i | ||||||
\(378\) | −7.25838 | − | 1.14712i | −0.373331 | − | 0.0590015i | ||||
\(379\) | 3.39883 | 0.174586 | 0.0872932 | − | 0.996183i | \(-0.472178\pi\) | ||||
0.0872932 | + | 0.996183i | \(0.472178\pi\) | |||||||
\(380\) | −4.18491 | − | 1.70028i | −0.214681 | − | 0.0872226i | ||||
\(381\) | 18.5517 | + | 10.4143i | 0.950432 | + | 0.533540i | ||||
\(382\) | −3.29252 | + | 16.8511i | −0.168460 | + | 0.862177i | ||||
\(383\) | −9.61525 | − | 16.6541i | −0.491316 | − | 0.850985i | 0.508634 | − | 0.860983i | \(-0.330151\pi\) |
−0.999950 | + | 0.00999820i | \(0.996817\pi\) | |||||||
\(384\) | 19.0702 | − | 4.50868i | 0.973171 | − | 0.230083i | ||||
\(385\) | −2.78832 | + | 4.82951i | −0.142106 | + | 0.246135i | ||||
\(386\) | −25.9667 | − | 22.6168i | −1.32167 | − | 1.15116i | ||||
\(387\) | −2.25684 | + | 0.0544961i | −0.114722 | + | 0.00277019i | ||||
\(388\) | 0.177484 | + | 1.28092i | 0.00901041 | + | 0.0650290i | ||||
\(389\) | 10.0678 | − | 17.4380i | 0.510458 | − | 0.884140i | −0.489468 | − | 0.872021i | \(-0.662809\pi\) |
0.999927 | − | 0.0121188i | \(-0.00385764\pi\) | |||||||
\(390\) | −7.79865 | + | 9.17505i | −0.394900 | + | 0.464596i | ||||
\(391\) | 3.57420 | − | 2.06356i | 0.180755 | − | 0.104359i | ||||
\(392\) | −2.82411 | − | 0.156261i | −0.142639 | − | 0.00789237i | ||||
\(393\) | −0.474202 | − | 39.2818i | −0.0239203 | − | 1.98151i | ||||
\(394\) | −11.3599 | + | 3.89920i | −0.572305 | + | 0.196439i | ||||
\(395\) | 12.9794i | 0.653064i | ||||||||
\(396\) | 19.1909 | + | 23.4702i | 0.964380 | + | 1.17942i | ||||
\(397\) | 13.1516i | 0.660059i | 0.943971 | + | 0.330029i | \(0.107059\pi\) | ||||
−0.943971 | + | 0.330029i | \(0.892941\pi\) | |||||||
\(398\) | 11.0338 | + | 32.1458i | 0.553073 | + | 1.61133i | ||||
\(399\) | 3.04805 | − | 1.80920i | 0.152593 | − | 0.0905731i | ||||
\(400\) | −10.8411 | − | 10.5509i | −0.542055 | − | 0.527543i | ||||
\(401\) | 3.21456 | − | 1.85593i | 0.160527 | − | 0.0926805i | −0.417584 | − | 0.908638i | \(-0.637123\pi\) |
0.578112 | + | 0.815958i | \(0.303790\pi\) | |||||||
\(402\) | 11.3442 | − | 4.04752i | 0.565799 | − | 0.201872i | ||||
\(403\) | −5.47069 | + | 9.47551i | −0.272514 | + | 0.472009i | ||||
\(404\) | −2.36459 | − | 17.0655i | −0.117643 | − | 0.849041i | ||||
\(405\) | −9.92130 | + | 0.479421i | −0.492993 | + | 0.0238226i | ||||
\(406\) | 0.583947 | − | 0.670438i | 0.0289808 | − | 0.0332733i | ||||
\(407\) | −23.8651 | + | 41.3355i | −1.18295 | + | 2.04892i | ||||
\(408\) | 12.5586 | − | 6.54444i | 0.621742 | − | 0.323998i | ||||
\(409\) | −0.231006 | − | 0.400115i | −0.0114225 | − | 0.0197844i | 0.860258 | − | 0.509860i | \(-0.170303\pi\) |
−0.871680 | + | 0.490075i | \(0.836969\pi\) | |||||||
\(410\) | −6.10831 | − | 1.19350i | −0.301668 | − | 0.0589425i | ||||
\(411\) | 9.39855 | − | 5.57859i | 0.463596 | − | 0.275172i | ||||
\(412\) | −5.14446 | + | 12.6621i | −0.253450 | + | 0.623817i | ||||
\(413\) | −12.7972 | −0.629709 | ||||||||
\(414\) | −1.01772 | + | 5.97122i | −0.0500182 | + | 0.293469i | ||||
\(415\) | − | 7.13038i | − | 0.350017i | ||||||
\(416\) | 14.3520 | + | 20.7103i | 0.703667 | + | 1.01540i | ||||
\(417\) | 35.6482 | − | 0.430337i | 1.74570 | − | 0.0210737i | ||||
\(418\) | −14.3522 | − | 2.80426i | −0.701990 | − | 0.137161i | ||||
\(419\) | 6.77061 | − | 3.90901i | 0.330766 | − | 0.190968i | −0.325415 | − | 0.945571i | \(-0.605504\pi\) |
0.656181 | + | 0.754603i | \(0.272171\pi\) | |||||||
\(420\) | −3.78038 | + | 0.570398i | −0.184464 | + | 0.0278326i | ||||
\(421\) | −18.8054 | − | 10.8573i | −0.916519 | − | 0.529153i | −0.0339963 | − | 0.999422i | \(-0.510823\pi\) |
−0.882523 | + | 0.470269i | \(0.844157\pi\) | |||||||
\(422\) | 4.62263 | + | 4.02628i | 0.225026 | + | 0.195996i | ||||
\(423\) | 29.7997 | − | 0.719575i | 1.44891 | − | 0.0349869i | ||||
\(424\) | 0.787775 | − | 1.20536i | 0.0382577 | − | 0.0585375i | ||||
\(425\) | −9.46781 | − | 5.46624i | −0.459256 | − | 0.265152i | ||||
\(426\) | 2.27819 | − | 12.4569i | 0.110378 | − | 0.603538i | ||||
\(427\) | −0.867059 | − | 1.50179i | −0.0419599 | − | 0.0726767i | ||||
\(428\) | −21.5153 | − | 27.6488i | −1.03998 | − | 1.33646i | ||||
\(429\) | −19.0826 | + | 33.9932i | −0.921319 | + | 1.64121i | ||||
\(430\) | −1.11088 | + | 0.381301i | −0.0535716 | + | 0.0183880i | ||||
\(431\) | 19.0335 | 0.916814 | 0.458407 | − | 0.888743i | \(-0.348420\pi\) | ||||
0.458407 | + | 0.888743i | \(0.348420\pi\) | |||||||
\(432\) | −4.37379 | + | 20.3192i | −0.210434 | + | 0.977608i | ||||
\(433\) | 1.41692 | 0.0680929 | 0.0340465 | − | 0.999420i | \(-0.489161\pi\) | ||||
0.0340465 | + | 0.999420i | \(0.489161\pi\) | |||||||
\(434\) | −3.28568 | + | 1.12778i | −0.157718 | + | 0.0541353i | ||||
\(435\) | 0.588282 | − | 1.04795i | 0.0282060 | − | 0.0502452i | ||||
\(436\) | 22.9746 | + | 29.5242i | 1.10028 | + | 1.41395i | ||||
\(437\) | −1.46088 | − | 2.53032i | −0.0698833 | − | 0.121041i | ||||
\(438\) | −1.35320 | + | 7.39918i | −0.0646586 | + | 0.353546i | ||||
\(439\) | 16.7024 | + | 9.64312i | 0.797161 | + | 0.460241i | 0.842477 | − | 0.538732i | \(-0.181096\pi\) |
−0.0453165 | + | 0.998973i | \(0.514430\pi\) | |||||||
\(440\) | 13.2034 | + | 8.62918i | 0.629445 | + | 0.411380i | ||||
\(441\) | 1.43685 | − | 2.63353i | 0.0684212 | − | 0.125406i | ||||
\(442\) | 13.7312 | + | 11.9598i | 0.653125 | + | 0.568868i | ||||
\(443\) | −25.5813 | − | 14.7694i | −1.21540 | − | 0.701713i | −0.251472 | − | 0.967865i | \(-0.580915\pi\) |
−0.963931 | + | 0.266152i | \(0.914248\pi\) | |||||||
\(444\) | −32.3560 | + | 4.88200i | −1.53555 | + | 0.231690i | ||||
\(445\) | −6.34618 | + | 3.66397i | −0.300838 | + | 0.173689i | ||||
\(446\) | 21.4087 | + | 4.18303i | 1.01373 | + | 0.198072i | ||||
\(447\) | 35.6752 | − | 0.430663i | 1.68738 | − | 0.0203697i | ||||
\(448\) | −0.882595 | + | 7.95117i | −0.0416987 | + | 0.375657i | ||||
\(449\) | 2.41176i | 0.113818i | 0.998379 | + | 0.0569090i | \(0.0181245\pi\) | ||||
−0.998379 | + | 0.0569090i | \(0.981876\pi\) | |||||||
\(450\) | 15.0462 | − | 5.57399i | 0.709283 | − | 0.262760i | ||||
\(451\) | −20.1488 | −0.948769 | ||||||||
\(452\) | −9.33349 | + | 22.9726i | −0.439010 | + | 1.08054i | ||||
\(453\) | 26.3661 | − | 15.6498i | 1.23879 | − | 0.735293i | ||||
\(454\) | 27.9950 | + | 5.46991i | 1.31387 | + | 0.256716i | ||||
\(455\) | −2.45798 | − | 4.25735i | −0.115232 | − | 0.199588i | ||||
\(456\) | −4.63307 | − | 8.89072i | −0.216964 | − | 0.416346i | ||||
\(457\) | 13.4246 | − | 23.2520i | 0.627975 | − | 1.08768i | −0.359983 | − | 0.932959i | \(-0.617217\pi\) |
0.987958 | − | 0.154725i | \(-0.0494492\pi\) | |||||||
\(458\) | −2.26533 | + | 2.60086i | −0.105852 | + | 0.121530i | ||||
\(459\) | 0.543828 | + | 15.0107i | 0.0253837 | + | 0.700638i | ||||
\(460\) | 0.432529 | + | 3.12160i | 0.0201668 | + | 0.145546i | ||||
\(461\) | −14.3966 | + | 24.9356i | −0.670515 | + | 1.16137i | 0.307243 | + | 0.951631i | \(0.400594\pi\) |
−0.977758 | + | 0.209735i | \(0.932740\pi\) | |||||||
\(462\) | −11.6572 | + | 4.15920i | −0.542344 | + | 0.193504i | ||||
\(463\) | 8.70983 | − | 5.02862i | 0.404780 | − | 0.233700i | −0.283764 | − | 0.958894i | \(-0.591583\pi\) |
0.688544 | + | 0.725194i | \(0.258250\pi\) | |||||||
\(464\) | −1.80214 | − | 1.75389i | −0.0836623 | − | 0.0814225i | ||||
\(465\) | −4.03785 | + | 2.39670i | −0.187251 | + | 0.111144i | ||||
\(466\) | −13.2652 | − | 38.6469i | −0.614499 | − | 1.79028i | ||||
\(467\) | − | 7.49126i | − | 0.346654i | −0.984864 | − | 0.173327i | \(-0.944548\pi\) | ||
0.984864 | − | 0.173327i | \(-0.0554518\pi\) | |||||||
\(468\) | −26.3764 | + | 4.30603i | −1.21925 | + | 0.199046i | ||||
\(469\) | 4.91722i | 0.227056i | ||||||||
\(470\) | 14.6683 | − | 5.03476i | 0.676598 | − | 0.232236i | ||||
\(471\) | 0.364254 | + | 30.1740i | 0.0167839 | + | 1.39034i | ||||
\(472\) | −1.99970 | + | 36.1407i | −0.0920438 | + | 1.66351i | ||||
\(473\) | −3.29288 | + | 1.90115i | −0.151407 | + | 0.0874148i | ||||
\(474\) | −18.6566 | + | 21.9493i | −0.856925 | + | 1.00817i | ||||
\(475\) | −3.86977 | + | 6.70264i | −0.177557 | + | 0.307538i | ||||
\(476\) | 0.793489 | + | 5.72669i | 0.0363695 | + | 0.262482i | ||||
\(477\) | 0.795361 | + | 1.30387i | 0.0364171 | + | 0.0597000i | ||||
\(478\) | −15.0765 | − | 13.1315i | −0.689583 | − | 0.600622i | ||||
\(479\) | 0.829109 | − | 1.43606i | 0.0378830 | − | 0.0656152i | −0.846462 | − | 0.532449i | \(-0.821272\pi\) |
0.884345 | + | 0.466833i | \(0.154605\pi\) | |||||||
\(480\) | 1.02014 | + | 10.7653i | 0.0465628 | + | 0.491367i | ||||
\(481\) | −21.0377 | − | 36.4384i | −0.959238 | − | 1.66145i | ||||
\(482\) | −6.06750 | + | 31.0535i | −0.276367 | + | 1.41445i | ||||
\(483\) | −2.15636 | − | 1.21051i | −0.0981177 | − | 0.0550799i | ||||
\(484\) | 26.9259 | + | 10.9397i | 1.22391 | + | 0.497259i | ||||
\(485\) | −0.713601 | −0.0324029 | ||||||||
\(486\) | −17.4669 | − | 13.4501i | −0.792316 | − | 0.610111i | ||||
\(487\) | − | 10.8329i | − | 0.490886i | −0.969411 | − | 0.245443i | \(-0.921067\pi\) | ||
0.969411 | − | 0.245443i | \(-0.0789333\pi\) | |||||||
\(488\) | −4.37670 | + | 2.21400i | −0.198124 | + | 0.100223i | ||||
\(489\) | 13.2111 | − | 23.5338i | 0.597425 | − | 1.06423i | ||||
\(490\) | 0.299303 | − | 1.53183i | 0.0135212 | − | 0.0692012i | ||||
\(491\) | −9.25970 | + | 5.34609i | −0.417884 | + | 0.241266i | −0.694172 | − | 0.719809i | \(-0.744229\pi\) |
0.276287 | + | 0.961075i | \(0.410896\pi\) | |||||||
\(492\) | −8.61416 | − | 10.7984i | −0.388357 | − | 0.486829i | ||||
\(493\) | −1.57385 | − | 0.908665i | −0.0708828 | − | 0.0409242i | ||||
\(494\) | 8.46679 | − | 9.72084i | 0.380939 | − | 0.437361i | ||||
\(495\) | −14.2824 | + | 8.71228i | −0.641945 | + | 0.391588i | ||||
\(496\) | 2.67155 | + | 9.45535i | 0.119956 | + | 0.424558i | ||||
\(497\) | 4.47722 | + | 2.58492i | 0.200831 | + | 0.115950i | ||||
\(498\) | 10.2492 | − | 12.0581i | 0.459279 | − | 0.540337i | ||||
\(499\) | 1.67543 | + | 2.90194i | 0.0750027 | + | 0.129909i | 0.901087 | − | 0.433637i | \(-0.142770\pi\) |
−0.826085 | + | 0.563546i | \(0.809437\pi\) | |||||||
\(500\) | 15.2983 | − | 11.9046i | 0.684162 | − | 0.532388i | ||||
\(501\) | 3.09068 | − | 0.0373101i | 0.138082 | − | 0.00166689i | ||||
\(502\) | −2.23378 | − | 6.50790i | −0.0996984 | − | 0.290462i | ||||
\(503\) | −35.2168 | −1.57024 | −0.785119 | − | 0.619345i | \(-0.787398\pi\) | ||||
−0.785119 | + | 0.619345i | \(0.787398\pi\) | |||||||
\(504\) | −7.21285 | − | 4.46932i | −0.321286 | − | 0.199079i | ||||
\(505\) | 9.50717 | 0.423064 | ||||||||
\(506\) | 3.31218 | + | 9.64972i | 0.147244 | + | 0.428983i | ||||
\(507\) | −6.04748 | − | 10.1885i | −0.268578 | − | 0.452488i | ||||
\(508\) | 15.0868 | + | 19.3878i | 0.669368 | + | 0.860193i | ||||
\(509\) | −4.24020 | − | 7.34425i | −0.187944 | − | 0.325528i | 0.756621 | − | 0.653854i | \(-0.226849\pi\) |
−0.944565 | + | 0.328326i | \(0.893516\pi\) | |||||||
\(510\) | 2.62607 | + | 7.36023i | 0.116284 | + | 0.325917i | ||||
\(511\) | −2.65939 | − | 1.53540i | −0.117645 | − | 0.0679222i | ||||
\(512\) | 22.3170 | + | 3.73500i | 0.986283 | + | 0.165065i | ||||
\(513\) | 10.6267 | − | 0.384998i | 0.469178 | − | 0.0169981i | ||||
\(514\) | −18.7066 | + | 21.4773i | −0.825114 | + | 0.947324i | ||||
\(515\) | −6.53153 | − | 3.77098i | −0.287814 | − | 0.166169i | ||||
\(516\) | −2.42669 | − | 0.951971i | −0.106829 | − | 0.0419082i | ||||
\(517\) | 43.4798 | − | 25.1031i | 1.91224 | − | 1.10403i | ||||
\(518\) | 2.56172 | − | 13.1109i | 0.112555 | − | 0.576059i | ||||
\(519\) | −9.25089 | − | 15.5855i | −0.406069 | − | 0.684126i | ||||
\(520\) | −12.4073 | + | 6.27635i | −0.544096 | + | 0.275236i | ||||
\(521\) | 35.6466i | 1.56171i | 0.624715 | + | 0.780853i | \(0.285215\pi\) | ||||
−0.624715 | + | 0.780853i | \(0.714785\pi\) | |||||||
\(522\) | 2.50116 | − | 0.926576i | 0.109473 | − | 0.0405551i | ||||
\(523\) | 30.4799 | 1.33279 | 0.666397 | − | 0.745598i | \(-0.267836\pi\) | ||||
0.666397 | + | 0.745598i | \(0.267836\pi\) | |||||||
\(524\) | 17.0746 | − | 42.0259i | 0.745908 | − | 1.83591i | ||||
\(525\) | 0.0790708 | + | 6.55005i | 0.00345093 | + | 0.285868i | ||||
\(526\) | −6.38923 | + | 32.7001i | −0.278584 | + | 1.42579i | ||||
\(527\) | 3.55033 | + | 6.14935i | 0.154655 | + | 0.267870i | ||||
\(528\) | 9.92447 | + | 33.5712i | 0.431907 | + | 1.46100i | ||||
\(529\) | 10.4808 | − | 18.1533i | 0.455687 | − | 0.789273i | ||||
\(530\) | 0.599191 | + | 0.521892i | 0.0260272 | + | 0.0226695i | ||||
\(531\) | −33.7018 | − | 18.3876i | −1.46253 | − | 0.797954i | ||||
\(532\) | 4.05415 | − | 0.561742i | 0.175770 | − | 0.0243546i | ||||
\(533\) | 8.88087 | − | 15.3821i | 0.384673 | − | 0.666273i | ||||
\(534\) | −15.9986 | − | 2.92591i | −0.692325 | − | 0.126616i | ||||
\(535\) | 16.7425 | − | 9.66628i | 0.723841 | − | 0.417910i | ||||
\(536\) | 13.8867 | + | 0.768369i | 0.599816 | + | 0.0331885i | ||||
\(537\) | −4.96085 | − | 2.78485i | −0.214076 | − | 0.120175i | ||||
\(538\) | −3.37788 | + | 1.15943i | −0.145631 | + | 0.0499864i | ||||
\(539\) | − | 5.05289i | − | 0.217643i | ||||||
\(540\) | −10.7753 | − | 3.92966i | −0.463695 | − | 0.169105i | ||||
\(541\) | 25.3260i | 1.08885i | 0.838809 | + | 0.544426i | \(0.183252\pi\) | ||||
−0.838809 | + | 0.544426i | \(0.816748\pi\) | |||||||
\(542\) | −12.8608 | − | 37.4687i | −0.552419 | − | 1.60942i | ||||
\(543\) | −33.6558 | − | 18.8932i | −1.44431 | − | 0.810785i | ||||
\(544\) | 16.2968 | − | 1.34604i | 0.698718 | − | 0.0577110i | ||||
\(545\) | −17.8781 | + | 10.3219i | −0.765813 | + | 0.442142i | ||||
\(546\) | 1.96285 | − | 10.7327i | 0.0840023 | − | 0.459316i | ||||
\(547\) | 13.1464 | − | 22.7703i | 0.562101 | − | 0.973587i | −0.435212 | − | 0.900328i | \(-0.643327\pi\) |
0.997313 | − | 0.0732594i | \(-0.0233401\pi\) | |||||||
\(548\) | 12.5008 | − | 1.73211i | 0.534009 | − | 0.0739922i | ||||
\(549\) | −0.125585 | − | 5.20084i | −0.00535984 | − | 0.221966i | ||||
\(550\) | 17.7500 | − | 20.3790i | 0.756863 | − | 0.868965i | ||||
\(551\) | −0.643281 | + | 1.11419i | −0.0274047 | + | 0.0474663i | ||||
\(552\) | −3.75555 | + | 5.90063i | −0.159847 | + | 0.251147i | ||||
\(553\) | −5.88019 | − | 10.1848i | −0.250051 | − | 0.433101i | ||||
\(554\) | 26.4538 | + | 5.16878i | 1.12392 | + | 0.219601i | ||||
\(555\) | −0.217964 | − | 18.0557i | −0.00925207 | − | 0.766421i | ||||
\(556\) | 38.1384 | + | 15.4952i | 1.61743 | + | 0.657142i | ||||
\(557\) | 36.1604 | 1.53216 | 0.766082 | − | 0.642742i | \(-0.222203\pi\) | ||||
0.766082 | + | 0.642742i | \(0.222203\pi\) | |||||||
\(558\) | −10.2734 | − | 1.75097i | −0.434907 | − | 0.0741246i | ||||
\(559\) | − | 3.35183i | − | 0.141767i | ||||||
\(560\) | −4.27930 | − | 1.08463i | −0.180833 | − | 0.0458340i | ||||
\(561\) | 12.9131 | + | 21.7553i | 0.545190 | + | 0.918510i | ||||
\(562\) | 30.4996 | + | 5.95928i | 1.28655 | + | 0.251377i | ||||
\(563\) | 27.0427 | − | 15.6131i | 1.13971 | − | 0.658014i | 0.193355 | − | 0.981129i | \(-0.438063\pi\) |
0.946360 | + | 0.323114i | \(0.104730\pi\) | |||||||
\(564\) | 32.0424 | + | 12.5700i | 1.34923 | + | 0.529292i | ||||
\(565\) | −11.8500 | − | 6.84161i | −0.498534 | − | 0.287829i | ||||
\(566\) | 0.906048 | + | 0.789163i | 0.0380840 | + | 0.0331710i | ||||
\(567\) | 7.56795 | − | 4.87095i | 0.317824 | − | 0.204561i | ||||
\(568\) | 7.99972 | − | 12.2402i | 0.335661 | − | 0.513589i | ||||
\(569\) | −21.6173 | − | 12.4808i | −0.906246 | − | 0.523222i | −0.0270248 | − | 0.999635i | \(-0.508603\pi\) |
−0.879222 | + | 0.476413i | \(0.841937\pi\) | |||||||
\(570\) | 5.21060 | − | 1.85910i | 0.218248 | − | 0.0778691i | ||||
\(571\) | −13.6541 | − | 23.6496i | −0.571406 | − | 0.989705i | −0.996422 | − | 0.0845188i | \(-0.973065\pi\) |
0.425016 | − | 0.905186i | \(-0.360269\pi\) | |||||||
\(572\) | −35.5252 | + | 27.6443i | −1.48538 | + | 1.15587i | ||||
\(573\) | −10.7333 | − | 18.0830i | −0.448392 | − | 0.755429i | ||||
\(574\) | 5.33383 | − | 1.83079i | 0.222630 | − | 0.0764157i | ||||
\(575\) | 5.39959 | 0.225178 | ||||||||
\(576\) | −13.7489 | + | 19.6715i | −0.572872 | + | 0.819645i | ||||
\(577\) | −28.5837 | −1.18995 | −0.594977 | − | 0.803743i | \(-0.702839\pi\) | ||||
−0.594977 | + | 0.803743i | \(0.702839\pi\) | |||||||
\(578\) | −11.5621 | + | 3.96860i | −0.480921 | + | 0.165072i | ||||
\(579\) | 42.1713 | − | 0.509083i | 1.75258 | − | 0.0211568i | ||||
\(580\) | 1.09518 | − | 0.852223i | 0.0454747 | − | 0.0353866i | ||||
\(581\) | 3.23036 | + | 5.59514i | 0.134018 | + | 0.232126i | ||||
\(582\) | −1.20676 | − | 1.02573i | −0.0500219 | − | 0.0425179i | ||||
\(583\) | 2.22780 | + | 1.28622i | 0.0922660 | + | 0.0532698i | ||||
\(584\) | −4.75170 | + | 7.27049i | −0.196627 | + | 0.300855i | ||||
\(585\) | −0.356015 | − | 14.7436i | −0.0147194 | − | 0.609573i | ||||
\(586\) | 23.5480 | + | 20.5102i | 0.972759 | + | 0.847267i | ||||
\(587\) | −4.64634 | − | 2.68257i | −0.191775 | − | 0.110721i | 0.401038 | − | 0.916061i | \(-0.368649\pi\) |
−0.592813 | + | 0.805340i | \(0.701983\pi\) | |||||||
\(588\) | 2.70801 | − | 2.16025i | 0.111676 | − | 0.0890872i | ||||
\(589\) | 4.35337 | − | 2.51342i | 0.179378 | − | 0.103564i | ||||
\(590\) | −19.6032 | − | 3.83025i | −0.807051 | − | 0.157689i | ||||
\(591\) | 7.20059 | − | 12.8269i | 0.296193 | − | 0.527628i | ||||
\(592\) | −36.6262 | − | 9.28329i | −1.50533 | − | 0.381541i | ||||
\(593\) | 2.71179i | 0.111360i | 0.998449 | + | 0.0556799i | \(0.0177326\pi\) | ||||
−0.998449 | + | 0.0556799i | \(0.982267\pi\) | |||||||
\(594\) | −36.6758 | − | 5.79627i | −1.50483 | − | 0.237824i | ||||
\(595\) | −3.19033 | −0.130791 | ||||||||
\(596\) | 38.1673 | + | 15.5069i | 1.56339 | + | 0.635188i | ||||
\(597\) | −36.2970 | − | 20.3759i | −1.48554 | − | 0.833930i | ||||
\(598\) | −8.82674 | − | 1.72465i | −0.360952 | − | 0.0705261i | ||||
\(599\) | −2.82360 | − | 4.89061i | −0.115369 | − | 0.199825i | 0.802558 | − | 0.596574i | \(-0.203472\pi\) |
−0.917927 | + | 0.396749i | \(0.870138\pi\) | |||||||
\(600\) | 18.5104 | + | 0.800213i | 0.755684 | + | 0.0326685i | ||||
\(601\) | 17.4149 | − | 30.1635i | 0.710369 | − | 1.23040i | −0.254350 | − | 0.967112i | \(-0.581861\pi\) |
0.964719 | − | 0.263283i | \(-0.0848053\pi\) | |||||||
\(602\) | 0.698954 | − | 0.802479i | 0.0284872 | − | 0.0327066i | ||||
\(603\) | −7.06528 | + | 12.9496i | −0.287720 | + | 0.527350i | ||||
\(604\) | 35.0691 | − | 4.85916i | 1.42694 | − | 0.197716i | ||||
\(605\) | −8.01899 | + | 13.8893i | −0.326018 | + | 0.564680i | ||||
\(606\) | 16.0775 | + | 13.6656i | 0.653103 | + | 0.555128i | ||||
\(607\) | −36.7066 | + | 21.1926i | −1.48988 | + | 0.860181i | −0.999933 | − | 0.0115734i | \(-0.996316\pi\) |
−0.489944 | + | 0.871754i | \(0.662983\pi\) | |||||||
\(608\) | −0.952915 | − | 11.5371i | −0.0386458 | − | 0.467893i | ||||
\(609\) | 0.0131441 | + | 1.08883i | 0.000532626 | + | 0.0441216i | ||||
\(610\) | −0.878700 | − | 2.56001i | −0.0355775 | − | 0.103652i | ||||
\(611\) | 44.2581i | 1.79049i | ||||||||
\(612\) | −6.13869 | + | 16.2215i | −0.248142 | + | 0.655716i | ||||
\(613\) | 30.3276i | 1.22492i | 0.790502 | + | 0.612459i | \(0.209820\pi\) | ||||
−0.790502 | + | 0.612459i | \(0.790180\pi\) | |||||||
\(614\) | −2.13027 | + | 0.731195i | −0.0859705 | + | 0.0295086i | ||||
\(615\) | 6.55486 | − | 3.89070i | 0.264318 | − | 0.156888i | ||||
\(616\) | −14.2699 | − | 0.789570i | −0.574951 | − | 0.0318127i | ||||
\(617\) | 0.167922 | − | 0.0969498i | 0.00676028 | − | 0.00390305i | −0.496616 | − | 0.867970i | \(-0.665424\pi\) |
0.503376 | + | 0.864067i | \(0.332091\pi\) | |||||||
\(618\) | −5.62499 | − | 15.7655i | −0.226270 | − | 0.634181i | ||||
\(619\) | 3.37036 | − | 5.83763i | 0.135466 | − | 0.234634i | −0.790309 | − | 0.612708i | \(-0.790080\pi\) |
0.925775 | + | 0.378074i | \(0.123413\pi\) | |||||||
\(620\) | −5.37068 | + | 0.744159i | −0.215692 | + | 0.0298862i | ||||
\(621\) | −3.93952 | − | 6.28625i | −0.158088 | − | 0.252259i | ||||
\(622\) | 6.50822 | + | 5.66862i | 0.260956 | + | 0.227291i | ||||
\(623\) | 3.31986 | − | 5.75016i | 0.133007 | − | 0.230375i | ||||
\(624\) | −30.0035 | − | 7.22040i | −1.20110 | − | 0.289047i | ||||
\(625\) | −4.10645 | − | 7.11257i | −0.164258 | − | 0.284503i | ||||
\(626\) | −1.14413 | + | 5.85564i | −0.0457285 | + | 0.234039i | ||||
\(627\) | 15.4015 | − | 9.14167i | 0.615075 | − | 0.365083i | ||||
\(628\) | −13.1157 | + | 32.2818i | −0.523374 | + | 1.28818i | ||||
\(629\) | −27.3058 | −1.08876 | ||||||||
\(630\) | 2.98923 | − | 3.60408i | 0.119094 | − | 0.143590i | ||||
\(631\) | − | 35.5601i | − | 1.41562i | −0.706401 | − | 0.707812i | \(-0.749682\pi\) | ||
0.706401 | − | 0.707812i | \(-0.250318\pi\) | |||||||
\(632\) | −29.6818 | + | 15.0148i | −1.18068 | + | 0.597257i | ||||
\(633\) | −7.50741 | + | 0.0906279i | −0.298393 | + | 0.00360213i | ||||
\(634\) | 4.37814 | − | 22.4073i | 0.173878 | − | 0.889908i | ||||
\(635\) | −11.7401 | + | 6.77813i | −0.465890 | + | 0.268982i | ||||
\(636\) | 0.263118 | + | 1.74384i | 0.0104333 | + | 0.0691479i | ||||
\(637\) | 3.85751 | + | 2.22713i | 0.152840 | + | 0.0882423i | ||||
\(638\) | 2.95062 | − | 3.38765i | 0.116816 | − | 0.134118i | ||||
\(639\) | 8.07675 | + | 13.2405i | 0.319511 | + | 0.523788i | ||||
\(640\) | −3.73180 | + | 11.9157i | −0.147512 | + | 0.471010i | ||||
\(641\) | 21.4710 | + | 12.3963i | 0.848055 | + | 0.489625i | 0.859994 | − | 0.510304i | \(-0.170467\pi\) |
−0.0119388 | + | 0.999929i | \(0.503800\pi\) | |||||||
\(642\) | 42.2074 | + | 7.71912i | 1.66579 | + | 0.304649i | ||||
\(643\) | −4.24703 | − | 7.35607i | −0.167486 | − | 0.290095i | 0.770049 | − | 0.637985i | \(-0.220232\pi\) |
−0.937535 | + | 0.347890i | \(0.886898\pi\) | |||||||
\(644\) | −1.75362 | − | 2.25354i | −0.0691021 | − | 0.0888018i | ||||
\(645\) | 0.704142 | − | 1.25434i | 0.0277256 | − | 0.0493895i | ||||
\(646\) | −2.71601 | − | 7.91285i | −0.106860 | − | 0.311327i | ||||
\(647\) | −12.9279 | −0.508247 | −0.254124 | − | 0.967172i | \(-0.581787\pi\) | ||||
−0.254124 | + | 0.967172i | \(0.581787\pi\) | |||||||
\(648\) | −12.5735 | − | 22.1338i | −0.493934 | − | 0.869499i | ||||
\(649\) | −64.6629 | −2.53824 | ||||||||
\(650\) | 7.73431 | + | 22.5332i | 0.303365 | + | 0.883824i | ||||
\(651\) | 2.08266 | − | 3.70998i | 0.0816258 | − | 0.145406i | ||||
\(652\) | 24.5944 | − | 19.1384i | 0.963190 | − | 0.749517i | ||||
\(653\) | 9.71807 | + | 16.8322i | 0.380297 | + | 0.658695i | 0.991105 | − | 0.133085i | \(-0.0424883\pi\) |
−0.610807 | + | 0.791779i | \(0.709155\pi\) | |||||||
\(654\) | −45.0702 | − | 8.24269i | −1.76238 | − | 0.322315i | ||||
\(655\) | 21.6783 | + | 12.5160i | 0.847043 | + | 0.489040i | ||||
\(656\) | −4.33688 | − | 15.3494i | −0.169327 | − | 0.599293i | ||||
\(657\) | −4.79746 | − | 7.86466i | −0.187167 | − | 0.306830i | ||||
\(658\) | −9.22910 | + | 10.5961i | −0.359788 | + | 0.413077i | ||||
\(659\) | 38.9399 | + | 22.4819i | 1.51688 | + | 0.875772i | 0.999803 | + | 0.0198335i | \(0.00631360\pi\) |
0.517078 | + | 0.855938i | \(0.327020\pi\) | |||||||
\(660\) | −19.1018 | + | 2.88216i | −0.743538 | + | 0.112188i | ||||
\(661\) | 2.20738 | − | 1.27443i | 0.0858571 | − | 0.0495696i | −0.456457 | − | 0.889746i | \(-0.650882\pi\) |
0.542314 | + | 0.840176i | \(0.317548\pi\) | |||||||
\(662\) | 7.95838 | − | 40.7310i | 0.309311 | − | 1.58305i | ||||
\(663\) | −22.3002 | + | 0.269203i | −0.866067 | + | 0.0104550i | ||||
\(664\) | 16.3061 | − | 8.24857i | 0.632798 | − | 0.320107i | ||||
\(665\) | 2.25856i | 0.0875833i | ||||||||
\(666\) | 25.5847 | − | 30.8471i | 0.991386 | − | 1.19530i | ||||
\(667\) | 0.897585 | 0.0347546 | ||||||||
\(668\) | 3.30658 | + | 1.34343i | 0.127936 | + | 0.0519788i | ||||
\(669\) | −22.9738 | + | 13.6363i | −0.888220 | + | 0.527211i | ||||
\(670\) | −1.47174 | + | 7.53236i | −0.0568583 | + | 0.291001i | ||||
\(671\) | −4.38116 | − | 7.58838i | −0.169133 | − | 0.292946i | ||||
\(672\) | −5.67762 | − | 7.98527i | −0.219019 | − | 0.308039i | ||||
\(673\) | −6.35177 | + | 11.0016i | −0.244843 | + | 0.424080i | −0.962087 | − | 0.272741i | \(-0.912070\pi\) |
0.717245 | + | 0.696821i | \(0.245403\pi\) | |||||||
\(674\) | −4.68429 | − | 4.07999i | −0.180432 | − | 0.157155i | ||||
\(675\) | −9.20318 | + | 17.3634i | −0.354230 | + | 0.668316i | ||||
\(676\) | −1.87770 | − | 13.5515i | −0.0722192 | − | 0.521213i | ||||
\(677\) | 6.23807 | − | 10.8046i | 0.239748 | − | 0.415256i | −0.720894 | − | 0.693046i | \(-0.756268\pi\) |
0.960642 | + | 0.277789i | \(0.0896017\pi\) | |||||||
\(678\) | −10.2053 | − | 28.6030i | −0.391932 | − | 1.09849i | ||||
\(679\) | 0.559955 | − | 0.323290i | 0.0214891 | − | 0.0124067i | ||||
\(680\) | −0.498524 | + | 9.00984i | −0.0191175 | + | 0.345511i | ||||
\(681\) | −30.0416 | + | 17.8315i | −1.15120 | + | 0.683304i | ||||
\(682\) | −16.6022 | + | 5.69856i | −0.635731 | + | 0.218209i | ||||
\(683\) | 7.01037i | 0.268244i | 0.990965 | + | 0.134122i | \(0.0428214\pi\) | ||||
−0.990965 | + | 0.134122i | \(0.957179\pi\) | |||||||
\(684\) | 11.4839 | + | 4.34583i | 0.439097 | + | 0.166167i | ||||
\(685\) | 6.96420i | 0.266088i | ||||||||
\(686\) | 0.459123 | + | 1.33761i | 0.0175294 | + | 0.0510703i | ||||
\(687\) | −0.0509905 | − | 4.22394i | −0.00194541 | − | 0.161153i | ||||
\(688\) | −2.15707 | − | 2.09932i | −0.0822374 | − | 0.0800357i | ||||
\(689\) | −1.96387 | + | 1.13384i | −0.0748174 | + | 0.0431959i | ||||
\(690\) | −2.94087 | − | 2.49970i | −0.111957 | − | 0.0951619i | ||||
\(691\) | −18.6471 | + | 32.2977i | −0.709369 | + | 1.22866i | 0.255723 | + | 0.966750i | \(0.417687\pi\) |
−0.965092 | + | 0.261913i | \(0.915647\pi\) | |||||||
\(692\) | −2.87234 | − | 20.7299i | −0.109190 | − | 0.788034i | ||||
\(693\) | 7.26022 | − | 13.3069i | 0.275793 | − | 0.505489i | ||||
\(694\) | −5.24214 | + | 6.01857i | −0.198989 | + | 0.228462i | ||||
\(695\) | −11.3582 | + | 19.6730i | −0.430842 | + | 0.746241i | ||||
\(696\) | 3.07703 | + | 0.133021i | 0.116634 | + | 0.00504215i | ||||
\(697\) | −5.76344 | − | 9.98258i | −0.218306 | − | 0.378117i | ||||
\(698\) | 40.8295 | + | 7.97763i | 1.54542 | + | 0.301958i | ||||
\(699\) | 43.6376 | + | 24.4967i | 1.65053 | + | 0.926549i | ||||
\(700\) | −2.84711 | + | 7.00761i | −0.107611 | + | 0.264863i | ||||
\(701\) | −10.0719 | −0.380412 | −0.190206 | − | 0.981744i | \(-0.560916\pi\) | ||||
−0.190206 | + | 0.981744i | \(0.560916\pi\) | |||||||
\(702\) | 20.5904 | − | 25.4445i | 0.777135 | − | 0.960340i | ||||
\(703\) | 19.3309i | 0.729079i | ||||||||
\(704\) | −4.45966 | + | 40.1764i | −0.168080 | + | 1.51420i | ||||
\(705\) | −9.29761 | + | 16.5625i | −0.350168 | + | 0.623779i | ||||
\(706\) | 29.3398 | + | 5.73268i | 1.10422 | + | 0.215752i | ||||
\(707\) | −7.46018 | + | 4.30714i | −0.280569 | + | 0.161987i | ||||
\(708\) | −27.6452 | − | 34.6549i | −1.03897 | − | 1.30241i | ||||
\(709\) | 20.2799 | + | 11.7086i | 0.761626 | + | 0.439725i | 0.829879 | − | 0.557943i | \(-0.188409\pi\) |
−0.0682530 | + | 0.997668i | \(0.521743\pi\) | |||||||
\(710\) | 6.08469 | + | 5.29973i | 0.228354 | + | 0.198895i | ||||
\(711\) | −0.851689 | − | 35.2709i | −0.0319408 | − | 1.32276i | ||||
\(712\) | −15.7203 | − | 10.2742i | −0.589144 | − | 0.385040i | ||||
\(713\) | −3.03718 | − | 1.75352i | −0.113743 | − | 0.0656698i | ||||
\(714\) | −5.39513 | − | 4.58578i | −0.201908 | − | 0.171619i | ||||
\(715\) | −12.4199 | − | 21.5119i | −0.464479 | − | 0.804501i | ||||
\(716\) | −4.03431 | − | 5.18442i | −0.150769 | − | 0.193751i | ||||
\(717\) | 24.4851 | − | 0.295579i | 0.914412 | − | 0.0110386i | ||||
\(718\) | −15.4204 | + | 5.29291i | −0.575483 | + | 0.197529i | ||||
\(719\) | 51.2688 | 1.91201 | 0.956003 | − | 0.293358i | \(-0.0947729\pi\) | ||||
0.956003 | + | 0.293358i | \(0.0947729\pi\) | |||||||
\(720\) | −9.71121 | − | 9.00509i | −0.361915 | − | 0.335600i | ||||
\(721\) | 6.83364 | 0.254498 | ||||||||
\(722\) | 19.8128 | − | 6.80057i | 0.737356 | − | 0.253091i | ||||
\(723\) | −19.7796 | − | 33.3237i | −0.735610 | − | 1.23932i | ||||
\(724\) | −27.3699 | − | 35.1726i | −1.01719 | − | 1.30718i | ||||
\(725\) | −1.18882 | − | 2.05910i | −0.0441517 | − | 0.0764730i | ||||
\(726\) | −33.5253 | + | 11.9615i | −1.24424 | + | 0.443934i | ||||
\(727\) | −23.7413 | − | 13.7071i | −0.880517 | − | 0.508367i | −0.00968817 | − | 0.999953i | \(-0.503084\pi\) |
−0.870829 | + | 0.491586i | \(0.836417\pi\) | |||||||
\(728\) | 6.89244 | − | 10.5460i | 0.255451 | − | 0.390861i | ||||
\(729\) | 26.9292 | − | 1.95382i | 0.997378 | − | 0.0723639i | ||||
\(730\) | −3.61420 | − | 3.14795i | −0.133768 | − | 0.116511i | ||||
\(731\) | −1.88382 | − | 1.08762i | −0.0696756 | − | 0.0402272i | ||||
\(732\) | 2.19380 | − | 5.59225i | 0.0810851 | − | 0.206695i | ||||
\(733\) | 38.7813 | − | 22.3904i | 1.43242 | − | 0.827009i | 0.435116 | − | 0.900374i | \(-0.356707\pi\) |
0.997305 | + | 0.0733653i | \(0.0233739\pi\) | |||||||
\(734\) | −18.3480 | − | 3.58499i | −0.677236 | − | 0.132324i | ||||
\(735\) | 0.975705 | + | 1.64382i | 0.0359894 | + | 0.0606333i | ||||
\(736\) | −6.63826 | + | 4.60026i | −0.244689 | + | 0.169568i | ||||
\(737\) | 24.8462i | 0.915220i | ||||||||
\(738\) | 16.6774 | + | 2.84245i | 0.613902 | + | 0.104632i | ||||
\(739\) | −36.2365 | −1.33298 | −0.666491 | − | 0.745513i | \(-0.732205\pi\) | ||||
−0.666491 | + | 0.745513i | \(0.732205\pi\) | |||||||
\(740\) | 7.84826 | − | 19.3170i | 0.288508 | − | 0.710106i | ||||
\(741\) | 0.190580 | + | 15.7872i | 0.00700112 | + | 0.579957i | ||||
\(742\) | −0.706618 | − | 0.138065i | −0.0259408 | − | 0.00506853i | ||||
\(743\) | 2.11326 | + | 3.66028i | 0.0775281 | + | 0.134283i | 0.902183 | − | 0.431354i | \(-0.141964\pi\) |
−0.824655 | + | 0.565636i | \(0.808631\pi\) | |||||||
\(744\) | −10.1519 | − | 6.46137i | −0.372188 | − | 0.236885i | ||||
\(745\) | −11.3668 | + | 19.6879i | −0.416449 | + | 0.721310i | ||||
\(746\) | 19.1768 | − | 22.0171i | 0.702112 | − | 0.806104i | ||||
\(747\) | 0.467886 | + | 19.3765i | 0.0171190 | + | 0.708949i | ||||
\(748\) | 4.00941 | + | 28.9363i | 0.146599 | + | 1.05802i | ||||
\(749\) | −8.75844 | + | 15.1701i | −0.320026 | + | 0.554302i | ||||
\(750\) | −4.27105 | + | 23.3537i | −0.155957 | + | 0.852755i | ||||
\(751\) | 13.9626 | − | 8.06131i | 0.509503 | − | 0.294162i | −0.223127 | − | 0.974789i | \(-0.571626\pi\) |
0.732629 | + | 0.680628i | \(0.238293\pi\) | |||||||
\(752\) | 28.4823 | + | 27.7197i | 1.03864 | + | 1.01083i | ||||
\(753\) | 7.34829 | + | 4.12508i | 0.267787 | + | 0.150326i | ||||
\(754\) | 1.28569 | + | 3.74574i | 0.0468221 | + | 0.136412i | ||||
\(755\) | 19.5369i | 0.711021i | ||||||||
\(756\) | 10.2356 | − | 1.79809i | 0.372264 | − | 0.0653960i | ||||
\(757\) | 0.476439i | 0.0173165i | 0.999963 | + | 0.00865824i | \(0.00275604\pi\) | ||||
−0.999963 | + | 0.00865824i | \(0.997244\pi\) | |||||||
\(758\) | −4.54632 | + | 1.56048i | −0.165130 | + | 0.0566793i | ||||
\(759\) | −10.8958 | − | 6.11655i | −0.395494 | − | 0.222017i | ||||
\(760\) | 6.37842 | + | 0.352925i | 0.231370 | + | 0.0128019i | ||||
\(761\) | −14.0087 | + | 8.08794i | −0.507816 | + | 0.293188i | −0.731935 | − | 0.681374i | \(-0.761383\pi\) |
0.224120 | + | 0.974562i | \(0.428049\pi\) | |||||||
\(762\) | −29.5964 | − | 5.41276i | −1.07216 | − | 0.196084i | ||||
\(763\) | 9.35250 | − | 16.1990i | 0.338583 | − | 0.586443i | ||||
\(764\) | −3.33263 | − | 24.0519i | −0.120570 | − | 0.870167i | ||||
\(765\) | −8.40183 | − | 4.58401i | −0.303769 | − | 0.165735i | ||||
\(766\) | 20.5078 | + | 17.8621i | 0.740976 | + | 0.645385i | ||||
\(767\) | 28.5011 | − | 49.3653i | 1.02911 | − | 1.78248i | ||||
\(768\) | −23.4385 | + | 14.7864i | −0.845763 | + | 0.533560i | ||||
\(769\) | 6.02178 | + | 10.4300i | 0.217151 | + | 0.376117i | 0.953936 | − | 0.300011i | \(-0.0969903\pi\) |
−0.736785 | + | 0.676127i | \(0.763657\pi\) | |||||||
\(770\) | 1.51235 | − | 7.74020i | 0.0545012 | − | 0.278937i | ||||
\(771\) | −0.421069 | − | 34.8804i | −0.0151644 | − | 1.25619i | ||||
\(772\) | 45.1172 | + | 18.3306i | 1.62380 | + | 0.659733i | ||||
\(773\) | −34.3563 | −1.23571 | −0.617856 | − | 0.786291i | \(-0.711999\pi\) | ||||
−0.617856 | + | 0.786291i | \(0.711999\pi\) | |||||||
\(774\) | 2.99375 | − | 1.10906i | 0.107608 | − | 0.0398644i | ||||
\(775\) | 9.28991i | 0.333703i | ||||||||
\(776\) | −0.825507 | − | 1.63189i | −0.0296340 | − | 0.0585815i | ||||
\(777\) | 8.35100 | + | 14.0694i | 0.299590 | + | 0.504736i | ||||
\(778\) | −5.46065 | + | 27.9476i | −0.195774 | + | 1.00197i | ||||
\(779\) | −7.06707 | + | 4.08017i | −0.253204 | + | 0.146187i | ||||
\(780\) | 6.21909 | − | 15.8532i | 0.222679 | − | 0.567635i | ||||
\(781\) | 22.6229 | + | 13.0613i | 0.809511 | + | 0.467372i | ||||
\(782\) | −3.83346 | + | 4.40124i | −0.137084 | + | 0.157388i | ||||
\(783\) | −1.52986 | + | 2.88635i | −0.0546729 | + | 0.103150i | ||||
\(784\) | 3.84930 | − | 1.08760i | 0.137475 | − | 0.0388428i | ||||
\(785\) | −16.6520 | − | 9.61405i | −0.594336 | − | 0.343140i | ||||
\(786\) | 18.6695 | + | 52.3261i | 0.665919 | + | 1.86641i | ||||
\(787\) | −16.0580 | − | 27.8133i | −0.572406 | − | 0.991436i | −0.996318 | − | 0.0857330i | \(-0.972677\pi\) |
0.423912 | − | 0.905703i | \(-0.360657\pi\) | |||||||
\(788\) | 13.4050 | − | 10.4312i | 0.477532 | − | 0.371597i | ||||
\(789\) | −20.8284 | − | 35.0907i | −0.741510 | − | 1.24926i | ||||
\(790\) | −5.95914 | − | 17.3614i | −0.212017 | − | 0.617690i | ||||
\(791\) | 12.3981 | 0.440826 | ||||||||
\(792\) | −36.4457 | − | 22.5830i | −1.29504 | − | 0.802452i | ||||
\(793\) | 7.72423 | 0.274295 | ||||||||
\(794\) | −6.03820 | − | 17.5917i | −0.214288 | − | 0.624306i | ||||
\(795\) | −0.973121 | + | 0.0117473i | −0.0345130 | + | 0.000416634i | ||||
\(796\) | −29.5178 | − | 37.9328i | −1.04623 | − | 1.34449i | ||||
\(797\) | 20.0884 | + | 34.7941i | 0.711566 | + | 1.23247i | 0.964269 | + | 0.264925i | \(0.0853473\pi\) |
−0.252703 | + | 0.967544i | \(0.581319\pi\) | |||||||
\(798\) | −3.24646 | + | 3.81943i | −0.114923 | + | 0.135206i | ||||
\(799\) | 24.8743 | + | 14.3612i | 0.879988 | + | 0.508062i | ||||
\(800\) | 19.3453 | + | 9.13556i | 0.683961 | + | 0.322991i | ||||
\(801\) | 17.0050 | − | 10.3731i | 0.600843 | − | 0.366515i | ||||
\(802\) | −3.44773 | + | 3.95839i | −0.121744 | + | 0.139776i | ||||
\(803\) | −13.4376 | − | 7.75822i | −0.474204 | − | 0.273782i | ||||
\(804\) | −13.3159 | + | 10.6224i | −0.469614 | + | 0.374624i | ||||
\(805\) | 1.36461 | − | 0.787857i | 0.0480961 | − | 0.0277683i | ||||
\(806\) | 2.96723 | − | 15.1863i | 0.104516 | − | 0.534914i | ||||
\(807\) | 2.14109 | − | 3.81408i | 0.0753701 | − | 0.134262i | ||||
\(808\) | 10.9981 | + | 21.7414i | 0.386911 | + | 0.764860i | ||||
\(809\) | − | 14.8351i | − | 0.521575i | −0.965396 | − | 0.260788i | \(-0.916018\pi\) | ||
0.965396 | − | 0.260788i | \(-0.0839822\pi\) | |||||||
\(810\) | 13.0507 | − | 5.19638i | 0.458556 | − | 0.182582i | ||||
\(811\) | −5.81300 | −0.204122 | −0.102061 | − | 0.994778i | \(-0.532544\pi\) | ||||
−0.102061 | + | 0.994778i | \(0.532544\pi\) | |||||||
\(812\) | −0.473281 | + | 1.16489i | −0.0166089 | + | 0.0408796i | ||||
\(813\) | 42.3073 | + | 23.7499i | 1.48378 | + | 0.832944i | ||||
\(814\) | 12.9441 | − | 66.2478i | 0.453690 | − | 2.32199i | ||||
\(815\) | 8.59841 | + | 14.8929i | 0.301189 | + | 0.521675i | ||||
\(816\) | −13.7938 | + | 14.5199i | −0.482879 | + | 0.508297i | ||||
\(817\) | −0.769973 | + | 1.33363i | −0.0269379 | + | 0.0466579i | ||||
\(818\) | 0.492699 | + | 0.429138i | 0.0172268 | + | 0.0150045i | ||||
\(819\) | 6.95882 | + | 11.4079i | 0.243161 | + | 0.398623i | ||||
\(820\) | 8.71851 | − | 1.20803i | 0.304463 | − | 0.0421864i | ||||
\(821\) | 16.6085 | − | 28.7668i | 0.579642 | − | 1.00397i | −0.415878 | − | 0.909420i | \(-0.636526\pi\) |
0.995520 | − | 0.0945492i | \(-0.0301410\pi\) | |||||||
\(822\) | −10.0103 | + | 11.7771i | −0.349151 | + | 0.410773i | ||||
\(823\) | −29.8670 | + | 17.2437i | −1.04110 | + | 0.601078i | −0.920144 | − | 0.391580i | \(-0.871929\pi\) |
−0.120954 | + | 0.992658i | \(0.538595\pi\) | |||||||
\(824\) | 1.06783 | − | 19.2989i | 0.0371996 | − | 0.672310i | ||||
\(825\) | 0.399536 | + | 33.0967i | 0.0139101 | + | 1.15228i | ||||
\(826\) | 17.1177 | − | 5.87549i | 0.595601 | − | 0.204435i | ||||
\(827\) | 5.17402i | 0.179918i | 0.995945 | + | 0.0899592i | \(0.0286737\pi\) | ||||
−0.995945 | + | 0.0899592i | \(0.971326\pi\) | |||||||
\(828\) | −1.38021 | − | 8.45443i | −0.0479657 | − | 0.293812i | ||||
\(829\) | 13.7946i | 0.479107i | 0.970883 | + | 0.239553i | \(0.0770010\pi\) | ||||
−0.970883 | + | 0.239553i | \(0.922999\pi\) | |||||||
\(830\) | 3.27373 | + | 9.53769i | 0.113633 | + | 0.331058i | ||||
\(831\) | −28.3878 | + | 16.8498i | −0.984761 | + | 0.584514i | ||||
\(832\) | −28.7060 | − | 21.1129i | −0.995203 | − | 0.731959i | ||||
\(833\) | 2.50342 | − | 1.44535i | 0.0867384 | − | 0.0500784i | ||||
\(834\) | −47.4858 | + | 16.9425i | −1.64430 | + | 0.586672i | ||||
\(835\) | −0.984755 | + | 1.70565i | −0.0340789 | + | 0.0590263i | ||||
\(836\) | 20.4852 | − | 2.83842i | 0.708495 | − | 0.0981689i | ||||
\(837\) | 10.8154 | − | 6.77789i | 0.373835 | − | 0.234278i | ||||
\(838\) | −7.26173 | + | 8.33729i | −0.250852 | + | 0.288007i | ||||
\(839\) | −5.68556 | + | 9.84768i | −0.196287 | + | 0.339980i | −0.947322 | − | 0.320283i | \(-0.896222\pi\) |
0.751034 | + | 0.660263i | \(0.229555\pi\) | |||||||
\(840\) | 4.79479 | − | 2.49863i | 0.165436 | − | 0.0862110i | ||||
\(841\) | 14.3024 | + | 24.7724i | 0.493186 | + | 0.854222i | ||||
\(842\) | 30.1392 | + | 5.88886i | 1.03866 | + | 0.202943i | ||||
\(843\) | −32.7293 | + | 19.4268i | −1.12726 | + | 0.669093i | ||||
\(844\) | −8.03184 | − | 3.26325i | −0.276467 | − | 0.112326i | ||||
\(845\) | 7.54955 | 0.259712 | ||||||||
\(846\) | −39.5300 | + | 14.6442i | −1.35907 | + | 0.503479i | ||||
\(847\) | − | 14.5317i | − | 0.499316i | ||||||
\(848\) | −0.500328 | + | 1.97399i | −0.0171813 | + | 0.0677871i | ||||
\(849\) | −1.47147 | + | 0.0177633i | −0.0505009 | + | 0.000609635i | ||||
\(850\) | 15.1739 | + | 2.96482i | 0.520462 | + | 0.101692i | ||||
\(851\) | 11.6796 | − | 6.74322i | 0.400371 | − | 0.231155i | ||||
\(852\) | 2.67192 | + | 17.7084i | 0.0915384 | + | 0.606681i | ||||
\(853\) | −2.92490 | − | 1.68869i | −0.100147 | − | 0.0578197i | 0.449090 | − | 0.893486i | \(-0.351748\pi\) |
−0.549237 | + | 0.835667i | \(0.685082\pi\) | |||||||
\(854\) | 1.84930 | + | 1.61073i | 0.0632816 | + | 0.0551179i | ||||
\(855\) | −3.24521 | + | 5.94799i | −0.110984 | + | 0.203417i | ||||
\(856\) | 41.4733 | + | 27.1053i | 1.41753 | + | 0.926439i | ||||
\(857\) | 29.3238 | + | 16.9301i | 1.00168 | + | 0.578321i | 0.908745 | − | 0.417351i | \(-0.137042\pi\) |
0.0929358 | + | 0.995672i | \(0.470375\pi\) | |||||||
\(858\) | 9.91808 | − | 54.2310i | 0.338598 | − | 1.85142i | ||||
\(859\) | −0.105328 | − | 0.182433i | −0.00359373 | − | 0.00622453i | 0.864223 | − | 0.503109i | \(-0.167811\pi\) |
−0.867817 | + | 0.496885i | \(0.834477\pi\) | |||||||
\(860\) | 1.31087 | − | 1.02007i | 0.0447002 | − | 0.0347839i | ||||
\(861\) | −3.38089 | + | 6.02261i | −0.115220 | + | 0.205250i | ||||
\(862\) | −25.4595 | + | 8.73875i | −0.867154 | + | 0.297643i | ||||
\(863\) | 7.00845 | 0.238570 | 0.119285 | − | 0.992860i | \(-0.461940\pi\) | ||||
0.119285 | + | 0.992860i | \(0.461940\pi\) | |||||||
\(864\) | −3.47859 | − | 29.1873i | −0.118344 | − | 0.992973i | ||||
\(865\) | 11.5486 | 0.392665 | ||||||||
\(866\) | −1.89529 | + | 0.650542i | −0.0644047 | + | 0.0221063i | ||||
\(867\) | 7.32874 | − | 13.0552i | 0.248897 | − | 0.443378i | ||||
\(868\) | 3.87718 | − | 3.01707i | 0.131600 | − | 0.102406i | ||||
\(869\) | −29.7120 | − | 51.4627i | −1.00791 | − | 1.74575i | ||||
\(870\) | −0.305756 | + | 1.67184i | −0.0103661 | + | 0.0566807i | ||||
\(871\) | −18.9682 | − | 10.9513i | −0.642713 | − | 0.371071i | ||||
\(872\) | −44.2863 | − | 28.9437i | −1.49972 | − | 0.980158i | ||||
\(873\) | 1.93918 | − | 0.0468254i | 0.0656312 | − | 0.00158480i | ||||
\(874\) | 3.11582 | + | 2.71386i | 0.105394 | + | 0.0917976i | ||||
\(875\) | −8.39371 | − | 4.84611i | −0.283759 | − | 0.163829i | ||||
\(876\) | −1.58708 | − | 10.5185i | −0.0536223 | − | 0.355388i | ||||
\(877\) | 29.1484 | − | 16.8288i | 0.984270 | − | 0.568269i | 0.0807135 | − | 0.996737i | \(-0.474280\pi\) |
0.903557 | + | 0.428469i | \(0.140947\pi\) | |||||||
\(878\) | −26.7687 | − | 5.23030i | −0.903399 | − | 0.176514i | ||||
\(879\) | −38.2433 | + | 0.461665i | −1.28991 | + | 0.0155716i | ||||
\(880\) | −21.6228 | − | 5.48052i | −0.728905 | − | 0.184748i | ||||
\(881\) | 14.4562i | 0.487043i | 0.969896 | + | 0.243521i | \(0.0783026\pi\) | ||||
−0.969896 | + | 0.243521i | \(0.921697\pi\) | |||||||
\(882\) | −0.712826 | + | 4.18233i | −0.0240021 | + | 0.140826i | ||||
\(883\) | 16.9272 | 0.569646 | 0.284823 | − | 0.958580i | \(-0.408065\pi\) | ||||
0.284823 | + | 0.958580i | \(0.408065\pi\) | |||||||
\(884\) | −23.8580 | − | 9.69322i | −0.802430 | − | 0.326018i | ||||
\(885\) | 21.0363 | − | 12.4863i | 0.707128 | − | 0.419722i | ||||
\(886\) | 40.9988 | + | 8.01070i | 1.37738 | + | 0.269125i | ||||
\(887\) | −1.09959 | − | 1.90454i | −0.0369205 | − | 0.0639482i | 0.846975 | − | 0.531633i | \(-0.178421\pi\) |
−0.883895 | + | 0.467685i | \(0.845088\pi\) | |||||||
\(888\) | 41.0383 | − | 21.3856i | 1.37716 | − | 0.717655i | ||||
\(889\) | 6.14154 | − | 10.6375i | 0.205981 | − | 0.356769i | ||||
\(890\) | 6.80652 | − | 7.81465i | 0.228155 | − | 0.261948i | ||||
\(891\) | 38.2400 | − | 24.6124i | 1.28109 | − | 0.824546i | ||||
\(892\) | −30.5571 | + | 4.23398i | −1.02313 | + | 0.141764i | ||||
\(893\) | 10.1668 | − | 17.6095i | 0.340221 | − | 0.589279i | ||||
\(894\) | −47.5218 | + | 16.9554i | −1.58937 | + | 0.567072i | ||||
\(895\) | 3.13937 | − | 1.81252i | 0.104938 | − | 0.0605858i | ||||
\(896\) | −2.47000 | − | 11.0408i | −0.0825168 | − | 0.368847i | ||||
\(897\) | 9.47203 | − | 5.62221i | 0.316262 | − | 0.187720i | ||||
\(898\) | −1.10730 | − | 3.22600i | −0.0369509 | − | 0.107653i | ||||
\(899\) | 1.54428i | 0.0515047i | ||||||||
\(900\) | −17.5668 | + | 14.3639i | −0.585560 | + | 0.478796i | ||||
\(901\) | 1.47166i | 0.0490282i | ||||||||
\(902\) | 26.9513 | − | 9.25078i | 0.897379 | − | 0.308017i | ||||
\(903\) | 0.0157328 | + | 1.30327i | 0.000523555 | + | 0.0433701i | ||||
\(904\) | 1.93734 | − | 35.0136i | 0.0644350 | − | 1.16454i | ||||
\(905\) | 21.2984 | − | 12.2966i | 0.707983 | − | 0.408754i | ||||
\(906\) | −28.0824 | + | 33.0387i | −0.932975 | + | 1.09764i | ||||
\(907\) | 14.9355 | − | 25.8690i | 0.495925 | − | 0.858967i | −0.504064 | − | 0.863666i | \(-0.668163\pi\) |
0.999989 | + | 0.00469938i | \(0.00149587\pi\) | |||||||
\(908\) | −39.9578 | + | 5.53655i | −1.32605 | + | 0.183737i | ||||
\(909\) | −25.8353 | + | 0.623847i | −0.856903 | + | 0.0206917i | ||||
\(910\) | 5.24248 | + | 4.56617i | 0.173786 | + | 0.151367i | ||||
\(911\) | −27.0077 | + | 46.7787i | −0.894806 | + | 1.54985i | −0.0607608 | + | 0.998152i | \(0.519353\pi\) |
−0.834045 | + | 0.551697i | \(0.813981\pi\) | |||||||
\(912\) | 10.2792 | + | 9.76518i | 0.340378 | + | 0.323357i | ||||
\(913\) | 16.3226 | + | 28.2716i | 0.540200 | + | 0.935655i | ||||
\(914\) | −7.28131 | + | 37.2657i | −0.240844 | + | 1.23264i | ||||
\(915\) | 2.89059 | + | 1.62268i | 0.0955601 | + | 0.0536442i | ||||
\(916\) | 1.83602 | − | 4.51900i | 0.0606638 | − | 0.149312i | ||||
\(917\) | −22.6810 | −0.748994 | ||||||||
\(918\) | −7.61918 | − | 19.8288i | −0.251470 | − | 0.654447i | ||||
\(919\) | − | 48.1303i | − | 1.58767i | −0.608132 | − | 0.793836i | \(-0.708081\pi\) | ||
0.608132 | − | 0.793836i | \(-0.291919\pi\) | |||||||
\(920\) | −2.01176 | − | 3.97691i | −0.0663257 | − | 0.131115i | ||||
\(921\) | 1.35029 | − | 2.40536i | 0.0444934 | − | 0.0792592i | ||||
\(922\) | 7.80851 | − | 39.9640i | 0.257160 | − | 1.31614i | ||||
\(923\) | −19.9427 | + | 11.5139i | −0.656423 | + | 0.378986i | ||||
\(924\) | 13.6833 | − | 10.9155i | 0.450147 | − | 0.359094i | ||||
\(925\) | −30.9385 | − | 17.8623i | −1.01725 | − | 0.587310i | ||||
\(926\) | −9.34161 | + | 10.7252i | −0.306985 | + | 0.352453i | ||||
\(927\) | 17.9966 | + | 9.81888i | 0.591085 | + | 0.322494i | ||||
\(928\) | 3.21582 | + | 1.51862i | 0.105564 | + | 0.0498513i | ||||
\(929\) | 11.9516 | + | 6.90027i | 0.392120 | + | 0.226391i | 0.683078 | − | 0.730345i | \(-0.260641\pi\) |
−0.290958 | + | 0.956736i | \(0.593974\pi\) | |||||||
\(930\) | 4.30070 | − | 5.05973i | 0.141025 | − | 0.165915i | ||||
\(931\) | −1.02322 | − | 1.77227i | −0.0335347 | − | 0.0580838i | ||||
\(932\) | 35.4874 | + | 45.6042i | 1.16243 | + | 1.49382i | ||||
\(933\) | −10.5697 | + | 0.127595i | −0.346037 | + | 0.00417729i | ||||
\(934\) | 3.43942 | + | 10.0204i | 0.112541 | + | 0.327878i | ||||
\(935\) | −16.1204 | −0.527193 | ||||||||
\(936\) | 33.3044 | − | 17.8698i | 1.08859 | − | 0.584094i | ||||
\(937\) | 17.4540 | 0.570198 | 0.285099 | − | 0.958498i | \(-0.407974\pi\) | ||||
0.285099 | + | 0.958498i | \(0.407974\pi\) | |||||||
\(938\) | −2.25761 | − | 6.57733i | −0.0737136 | − | 0.214757i | ||||
\(939\) | −3.72976 | − | 6.28373i | −0.121716 | − | 0.205062i | ||||
\(940\) | −17.3089 | + | 13.4691i | −0.564554 | + | 0.439314i | ||||
\(941\) | 12.8593 | + | 22.2730i | 0.419202 | + | 0.726078i | 0.995859 | − | 0.0909074i | \(-0.0289767\pi\) |
−0.576658 | + | 0.816986i | \(0.695643\pi\) | |||||||
\(942\) | −14.3408 | − | 40.1939i | −0.467249 | − | 1.30959i | ||||
\(943\) | 4.93042 | + | 2.84658i | 0.160557 | + | 0.0926975i | ||||
\(944\) | −13.9182 | − | 49.2603i | −0.452999 | − | 1.60329i | ||||
\(945\) | 0.207630 | + | 5.73099i | 0.00675422 | + | 0.186429i | ||||
\(946\) | 3.53174 | − | 4.05484i | 0.114827 | − | 0.131834i | ||||
\(947\) | 24.0210 | + | 13.8686i | 0.780579 | + | 0.450667i | 0.836635 | − | 0.547760i | \(-0.184519\pi\) |
−0.0560565 | + | 0.998428i | \(0.517853\pi\) | |||||||
\(948\) | 14.8778 | − | 37.9253i | 0.483209 | − | 1.23176i | ||||
\(949\) | 11.8457 | − | 6.83909i | 0.384526 | − | 0.222006i | ||||
\(950\) | 2.09891 | − | 10.7422i | 0.0680977 | − | 0.348524i | ||||
\(951\) | 14.2724 | + | 24.0454i | 0.462814 | + | 0.779726i | ||||
\(952\) | −3.69064 | − | 7.29578i | −0.119614 | − | 0.236458i | ||||
\(953\) | − | 22.4861i | − | 0.728397i | −0.931321 | − | 0.364198i | \(-0.881343\pi\) | ||
0.931321 | − | 0.364198i | \(-0.118657\pi\) | |||||||
\(954\) | −1.66252 | − | 1.37890i | −0.0538261 | − | 0.0446435i | ||||
\(955\) | 13.3993 | 0.433590 | ||||||||
\(956\) | 26.1955 | + | 10.6429i | 0.847223 | + | 0.344217i | ||||
\(957\) | 0.0664158 | + | 5.50174i | 0.00214692 | + | 0.177846i | ||||
\(958\) | −0.449698 | + | 2.30155i | −0.0145291 | + | 0.0743598i | ||||
\(959\) | −3.15507 | − | 5.46474i | −0.101882 | − | 0.176466i | ||||
\(960\) | −6.30716 | − | 13.9315i | −0.203563 | − | 0.449636i | ||||
\(961\) | −12.4831 | + | 21.6214i | −0.402681 | + | 0.697463i | ||||
\(962\) | 44.8700 | + | 39.0815i | 1.44667 | + | 1.26004i | ||||
\(963\) | −44.8626 | + | 27.3663i | −1.44568 | + | 0.881866i | ||||
\(964\) | −6.14142 | − | 44.3232i | −0.197802 | − | 1.42756i | ||||
\(965\) | −13.4366 | + | 23.2730i | −0.432541 | + | 0.749183i | ||||
\(966\) | 3.44014 | + | 0.629152i | 0.110685 | + | 0.0202426i | ||||
\(967\) | −2.79666 | + | 1.61465i | −0.0899344 | + | 0.0519237i | −0.544293 | − | 0.838895i | \(-0.683202\pi\) |
0.454358 | + | 0.890819i | \(0.349869\pi\) | |||||||
\(968\) | −41.0391 | − | 2.27074i | −1.31905 | − | 0.0729843i | ||||
\(969\) | 8.93467 | + | 5.01562i | 0.287023 | + | 0.161125i | ||||
\(970\) | 0.954521 | − | 0.327631i | 0.0306478 | − | 0.0105196i | ||||
\(971\) | 40.0685i | 1.28586i | 0.765925 | + | 0.642930i | \(0.222281\pi\) | ||||
−0.765925 | + | 0.642930i | \(0.777719\pi\) | |||||||
\(972\) | 29.5392 | + | 9.97160i | 0.947472 | + | 0.319839i | ||||
\(973\) | − | 20.5830i | − | 0.659860i | ||||||
\(974\) | 4.97364 | + | 14.4902i | 0.159366 | + | 0.464296i | ||||
\(975\) | −25.4430 | − | 14.2828i | −0.814828 | − | 0.457417i | ||||
\(976\) | 4.83783 | − | 4.97092i | 0.154855 | − | 0.159115i | ||||
\(977\) | 14.0968 | − | 8.13881i | 0.450998 | − | 0.260384i | −0.257254 | − | 0.966344i | \(-0.582818\pi\) |
0.708252 | + | 0.705960i | \(0.249484\pi\) | |||||||
\(978\) | −6.86636 | + | 37.5446i | −0.219562 | + | 1.20054i | ||||
\(979\) | 16.7749 | − | 29.0549i | 0.536127 | − | 0.928600i | ||||
\(980\) | 0.302950 | + | 2.18642i | 0.00967737 | + | 0.0698426i | ||||
\(981\) | 47.9055 | − | 29.2225i | 1.52951 | − | 0.933001i | ||||
\(982\) | 9.93137 | − | 11.4023i | 0.316923 | − | 0.363863i | ||||
\(983\) | −17.0746 | + | 29.5741i | −0.544596 | + | 0.943267i | 0.454037 | + | 0.890983i | \(0.349983\pi\) |
−0.998632 | + | 0.0522842i | \(0.983350\pi\) | |||||||
\(984\) | 16.4802 | + | 10.4891i | 0.525370 | + | 0.334380i | ||||
\(985\) | 4.68650 | + | 8.11725i | 0.149324 | + | 0.258637i | ||||
\(986\) | 2.52240 | + | 0.492848i | 0.0803295 | + | 0.0156955i | ||||
\(987\) | −0.207739 | − | 17.2086i | −0.00661239 | − | 0.547756i | ||||
\(988\) | −6.86222 | + | 16.8900i | −0.218316 | + | 0.537343i | ||||
\(989\) | 1.07436 | 0.0341627 | ||||||||
\(990\) | 15.1043 | − | 18.2110i | 0.480045 | − | 0.578784i | ||||
\(991\) | 48.3771i | 1.53675i | 0.640000 | + | 0.768375i | \(0.278934\pi\) | ||||
−0.640000 | + | 0.768375i | \(0.721066\pi\) | |||||||
\(992\) | −7.91468 | − | 11.4210i | −0.251291 | − | 0.362618i | ||||
\(993\) | 25.9437 | + | 43.7087i | 0.823298 | + | 1.38705i | ||||
\(994\) | −7.17558 | − | 1.40203i | −0.227596 | − | 0.0444697i | ||||
\(995\) | 22.9698 | − | 13.2616i | 0.728193 | − | 0.420422i | ||||
\(996\) | −8.17331 | + | 20.8347i | −0.258981 | + | 0.660174i | ||||
\(997\) | −30.0080 | − | 17.3251i | −0.950362 | − | 0.548692i | −0.0571687 | − | 0.998365i | \(-0.518207\pi\) |
−0.893193 | + | 0.449673i | \(0.851541\pi\) | |||||||
\(998\) | −3.57343 | − | 3.11243i | −0.113115 | − | 0.0985224i | ||||
\(999\) | 1.77710 | + | 49.0512i | 0.0562248 | + | 1.55191i |
(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 | 504.2.br.a.155.8 | ✓ | 144 | |
8.3 | odd | 2 | inner | 504.2.br.a.155.31 | yes | 144 | |
9.5 | odd | 6 | inner | 504.2.br.a.491.31 | yes | 144 | |
72.59 | even | 6 | inner | 504.2.br.a.491.8 | yes | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
504.2.br.a.155.8 | ✓ | 144 | 1.1 | even | 1 | trivial | |
504.2.br.a.155.31 | yes | 144 | 8.3 | odd | 2 | inner | |
504.2.br.a.491.8 | yes | 144 | 72.59 | even | 6 | inner | |
504.2.br.a.491.31 | yes | 144 | 9.5 | odd | 6 | inner |