Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [210,2,Mod(73,210)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(210, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 9, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("210.73");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 210 = 2 \cdot 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 210.u (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.67685844245\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{12})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 4 x^{15} + 12 x^{14} - 48 x^{13} + 67 x^{12} - 24 x^{11} + 118 x^{10} - 176 x^{9} + 351 x^{8} + \cdots + 4 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 103.2 | ||
Root | \(0.339278 - 0.0446668i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 210.103 |
Dual form | 210.2.u.a.157.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/210\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(71\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(1\) | \(e\left(\frac{3}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.258819 | − | 0.965926i | −0.183013 | − | 0.683013i | ||||
\(3\) | −0.965926 | − | 0.258819i | −0.557678 | − | 0.149429i | ||||
\(4\) | −0.866025 | + | 0.500000i | −0.433013 | + | 0.250000i | ||||
\(5\) | 2.23385 | + | 0.0994727i | 0.999010 | + | 0.0444856i | ||||
\(6\) | 1.00000i | 0.408248i | ||||||||
\(7\) | 2.52756 | + | 0.781940i | 0.955329 | + | 0.295546i | ||||
\(8\) | 0.707107 | + | 0.707107i | 0.250000 | + | 0.250000i | ||||
\(9\) | 0.866025 | + | 0.500000i | 0.288675 | + | 0.166667i | ||||
\(10\) | −0.482081 | − | 2.18348i | −0.152447 | − | 0.690478i | ||||
\(11\) | −1.31272 | − | 2.27370i | −0.395800 | − | 0.685546i | 0.597403 | − | 0.801942i | \(-0.296199\pi\) |
−0.993203 | + | 0.116395i | \(0.962866\pi\) | |||||||
\(12\) | 0.965926 | − | 0.258819i | 0.278839 | − | 0.0747146i | ||||
\(13\) | 1.21865 | − | 1.21865i | 0.337993 | − | 0.337993i | −0.517618 | − | 0.855612i | \(-0.673181\pi\) |
0.855612 | + | 0.517618i | \(0.173181\pi\) | |||||||
\(14\) | 0.101115 | − | 2.64382i | 0.0270242 | − | 0.706590i | ||||
\(15\) | −2.13199 | − | 0.674247i | −0.550478 | − | 0.174090i | ||||
\(16\) | 0.500000 | − | 0.866025i | 0.125000 | − | 0.216506i | ||||
\(17\) | 1.95935 | − | 7.31238i | 0.475211 | − | 1.77351i | −0.145377 | − | 0.989376i | \(-0.546440\pi\) |
0.620589 | − | 0.784136i | \(-0.286894\pi\) | |||||||
\(18\) | 0.258819 | − | 0.965926i | 0.0610042 | − | 0.227671i | ||||
\(19\) | −2.32616 | + | 4.02903i | −0.533658 | + | 0.924322i | 0.465569 | + | 0.885011i | \(0.345850\pi\) |
−0.999227 | + | 0.0393108i | \(0.987484\pi\) | |||||||
\(20\) | −1.98431 | + | 1.03078i | −0.443705 | + | 0.230490i | ||||
\(21\) | −2.23906 | − | 1.40948i | −0.488602 | − | 0.307573i | ||||
\(22\) | −1.85647 | + | 1.85647i | −0.395800 | + | 0.395800i | ||||
\(23\) | 4.95766 | − | 1.32840i | 1.03374 | − | 0.276991i | 0.298225 | − | 0.954496i | \(-0.403605\pi\) |
0.735518 | + | 0.677505i | \(0.236939\pi\) | |||||||
\(24\) | −0.500000 | − | 0.866025i | −0.102062 | − | 0.176777i | ||||
\(25\) | 4.98021 | + | 0.444415i | 0.996042 | + | 0.0888830i | ||||
\(26\) | −1.49254 | − | 0.861717i | −0.292711 | − | 0.168997i | ||||
\(27\) | −0.707107 | − | 0.707107i | −0.136083 | − | 0.136083i | ||||
\(28\) | −2.57990 | + | 0.586601i | −0.487556 | + | 0.110857i | ||||
\(29\) | 5.99410i | 1.11308i | 0.830822 | + | 0.556538i | \(0.187871\pi\) | ||||
−0.830822 | + | 0.556538i | \(0.812129\pi\) | |||||||
\(30\) | −0.0994727 | + | 2.23385i | −0.0181612 | + | 0.407844i | ||||
\(31\) | −8.66177 | + | 5.00088i | −1.55570 | + | 0.898184i | −0.558040 | + | 0.829814i | \(0.688447\pi\) |
−0.997660 | + | 0.0683700i | \(0.978220\pi\) | |||||||
\(32\) | −0.965926 | − | 0.258819i | −0.170753 | − | 0.0457532i | ||||
\(33\) | 0.679515 | + | 2.53598i | 0.118288 | + | 0.441458i | ||||
\(34\) | −7.57033 | −1.29830 | ||||||||
\(35\) | 5.56842 | + | 1.99816i | 0.941235 | + | 0.337751i | ||||
\(36\) | −1.00000 | −0.166667 | ||||||||
\(37\) | 1.02429 | + | 3.82271i | 0.168392 | + | 0.628449i | 0.997583 | + | 0.0694832i | \(0.0221350\pi\) |
−0.829191 | + | 0.558966i | \(0.811198\pi\) | |||||||
\(38\) | 4.49380 | + | 1.20411i | 0.728990 | + | 0.195332i | ||||
\(39\) | −1.49254 | + | 0.861717i | −0.238997 | + | 0.137985i | ||||
\(40\) | 1.50924 | + | 1.64991i | 0.238631 | + | 0.260874i | ||||
\(41\) | − | 5.59423i | − | 0.873671i | −0.899541 | − | 0.436836i | \(-0.856099\pi\) | ||
0.899541 | − | 0.436836i | \(-0.143901\pi\) | |||||||
\(42\) | −0.781940 | + | 2.52756i | −0.120656 | + | 0.390011i | ||||
\(43\) | −0.545731 | − | 0.545731i | −0.0832233 | − | 0.0832233i | 0.664270 | − | 0.747493i | \(-0.268743\pi\) |
−0.747493 | + | 0.664270i | \(0.768743\pi\) | |||||||
\(44\) | 2.27370 | + | 1.31272i | 0.342773 | + | 0.197900i | ||||
\(45\) | 1.88484 | + | 1.20307i | 0.280975 | + | 0.179344i | ||||
\(46\) | −2.56627 | − | 4.44492i | −0.378376 | − | 0.655367i | ||||
\(47\) | −6.12372 | + | 1.64085i | −0.893237 | + | 0.239342i | −0.676109 | − | 0.736801i | \(-0.736335\pi\) |
−0.217127 | + | 0.976143i | \(0.569669\pi\) | |||||||
\(48\) | −0.707107 | + | 0.707107i | −0.102062 | + | 0.102062i | ||||
\(49\) | 5.77714 | + | 3.95280i | 0.825306 | + | 0.564686i | ||||
\(50\) | −0.859701 | − | 4.92554i | −0.121580 | − | 0.696576i | ||||
\(51\) | −3.78517 | + | 6.55610i | −0.530029 | + | 0.918038i | ||||
\(52\) | −0.446058 | + | 1.66471i | −0.0618571 | + | 0.230854i | ||||
\(53\) | −2.22057 | + | 8.28728i | −0.305019 | + | 1.13835i | 0.627910 | + | 0.778286i | \(0.283911\pi\) |
−0.932929 | + | 0.360060i | \(0.882756\pi\) | |||||||
\(54\) | −0.500000 | + | 0.866025i | −0.0680414 | + | 0.117851i | ||||
\(55\) | −2.70626 | − | 5.20970i | −0.364912 | − | 0.702475i | ||||
\(56\) | 1.23434 | + | 2.34017i | 0.164946 | + | 0.312719i | ||||
\(57\) | 3.28969 | − | 3.28969i | 0.435730 | − | 0.435730i | ||||
\(58\) | 5.78985 | − | 1.55139i | 0.760245 | − | 0.203707i | ||||
\(59\) | −3.86022 | − | 6.68609i | −0.502557 | − | 0.870455i | −0.999996 | − | 0.00295539i | \(-0.999059\pi\) |
0.497438 | − | 0.867499i | \(-0.334274\pi\) | |||||||
\(60\) | 2.18348 | − | 0.482081i | 0.281886 | − | 0.0622364i | ||||
\(61\) | 4.16543 | + | 2.40491i | 0.533328 | + | 0.307917i | 0.742371 | − | 0.669989i | \(-0.233701\pi\) |
−0.209042 | + | 0.977907i | \(0.567035\pi\) | |||||||
\(62\) | 7.07231 | + | 7.07231i | 0.898184 | + | 0.898184i | ||||
\(63\) | 1.79796 | + | 1.94096i | 0.226522 | + | 0.244538i | ||||
\(64\) | 1.00000i | 0.125000i | ||||||||
\(65\) | 2.84351 | − | 2.60107i | 0.352694 | − | 0.322623i | ||||
\(66\) | 2.27370 | − | 1.31272i | 0.279873 | − | 0.161585i | ||||
\(67\) | 2.47605 | + | 0.663456i | 0.302498 | + | 0.0810541i | 0.406875 | − | 0.913484i | \(-0.366618\pi\) |
−0.104377 | + | 0.994538i | \(0.533285\pi\) | |||||||
\(68\) | 1.95935 | + | 7.31238i | 0.237606 | + | 0.886756i | ||||
\(69\) | −5.13255 | −0.617886 | ||||||||
\(70\) | 0.488864 | − | 5.89585i | 0.0584305 | − | 0.704688i | ||||
\(71\) | −8.36973 | −0.993304 | −0.496652 | − | 0.867950i | \(-0.665437\pi\) | ||||
−0.496652 | + | 0.867950i | \(0.665437\pi\) | |||||||
\(72\) | 0.258819 | + | 0.965926i | 0.0305021 | + | 0.113835i | ||||
\(73\) | −13.1877 | − | 3.53363i | −1.54350 | − | 0.413581i | −0.616108 | − | 0.787662i | \(-0.711291\pi\) |
−0.927396 | + | 0.374081i | \(0.877958\pi\) | |||||||
\(74\) | 3.42734 | − | 1.97878i | 0.398421 | − | 0.230028i | ||||
\(75\) | −4.69549 | − | 1.71825i | −0.542189 | − | 0.198406i | ||||
\(76\) | − | 4.65232i | − | 0.533658i | ||||||
\(77\) | −1.54009 | − | 6.77339i | −0.175509 | − | 0.771899i | ||||
\(78\) | 1.21865 | + | 1.21865i | 0.137985 | + | 0.137985i | ||||
\(79\) | 7.78980 | + | 4.49744i | 0.876421 | + | 0.506002i | 0.869477 | − | 0.493974i | \(-0.164456\pi\) |
0.00694408 | + | 0.999976i | \(0.497790\pi\) | |||||||
\(80\) | 1.20307 | − | 1.88484i | 0.134508 | − | 0.210731i | ||||
\(81\) | 0.500000 | + | 0.866025i | 0.0555556 | + | 0.0962250i | ||||
\(82\) | −5.40361 | + | 1.44789i | −0.596729 | + | 0.159893i | ||||
\(83\) | −7.99504 | + | 7.99504i | −0.877570 | + | 0.877570i | −0.993283 | − | 0.115713i | \(-0.963085\pi\) |
0.115713 | + | 0.993283i | \(0.463085\pi\) | |||||||
\(84\) | 2.64382 | + | 0.101115i | 0.288464 | + | 0.0110326i | ||||
\(85\) | 5.10428 | − | 16.1399i | 0.553637 | − | 1.75062i | ||||
\(86\) | −0.385890 | + | 0.668382i | −0.0416116 | + | 0.0720734i | ||||
\(87\) | 1.55139 | − | 5.78985i | 0.166326 | − | 0.620738i | ||||
\(88\) | 0.679515 | − | 2.53598i | 0.0724365 | − | 0.270337i | ||||
\(89\) | −0.0812661 | + | 0.140757i | −0.00861419 | + | 0.0149202i | −0.870300 | − | 0.492521i | \(-0.836075\pi\) |
0.861686 | + | 0.507442i | \(0.169409\pi\) | |||||||
\(90\) | 0.674247 | − | 2.13199i | 0.0710719 | − | 0.224732i | ||||
\(91\) | 4.03313 | − | 2.12731i | 0.422787 | − | 0.223002i | ||||
\(92\) | −3.62926 | + | 3.62926i | −0.378376 | + | 0.378376i | ||||
\(93\) | 9.66095 | − | 2.58864i | 1.00179 | − | 0.268430i | ||||
\(94\) | 3.16987 | + | 5.49038i | 0.326947 | + | 0.566289i | ||||
\(95\) | −5.59708 | + | 8.76887i | −0.574248 | + | 0.899667i | ||||
\(96\) | 0.866025 | + | 0.500000i | 0.0883883 | + | 0.0510310i | ||||
\(97\) | −4.35278 | − | 4.35278i | −0.441958 | − | 0.441958i | 0.450711 | − | 0.892670i | \(-0.351170\pi\) |
−0.892670 | + | 0.450711i | \(0.851170\pi\) | |||||||
\(98\) | 2.32288 | − | 6.60335i | 0.234647 | − | 0.667039i | ||||
\(99\) | − | 2.62544i | − | 0.263867i | ||||||
\(100\) | −4.53520 | + | 2.10523i | −0.453520 | + | 0.210523i | ||||
\(101\) | −6.64586 | + | 3.83699i | −0.661287 | + | 0.381795i | −0.792767 | − | 0.609524i | \(-0.791360\pi\) |
0.131480 | + | 0.991319i | \(0.458027\pi\) | |||||||
\(102\) | 7.31238 | + | 1.95935i | 0.724033 | + | 0.194004i | ||||
\(103\) | −1.05286 | − | 3.92931i | −0.103741 | − | 0.387167i | 0.894458 | − | 0.447151i | \(-0.147561\pi\) |
−0.998199 | + | 0.0599847i | \(0.980895\pi\) | |||||||
\(104\) | 1.72343 | 0.168997 | ||||||||
\(105\) | −4.86152 | − | 3.37129i | −0.474436 | − | 0.329004i | ||||
\(106\) | 8.57963 | 0.833327 | ||||||||
\(107\) | −0.729112 | − | 2.72108i | −0.0704859 | − | 0.263057i | 0.921686 | − | 0.387937i | \(-0.126812\pi\) |
−0.992172 | + | 0.124880i | \(0.960145\pi\) | |||||||
\(108\) | 0.965926 | + | 0.258819i | 0.0929463 | + | 0.0249049i | ||||
\(109\) | −10.5314 | + | 6.08031i | −1.00872 | + | 0.582388i | −0.910818 | − | 0.412808i | \(-0.864548\pi\) |
−0.0979069 | + | 0.995196i | \(0.531215\pi\) | |||||||
\(110\) | −4.33175 | + | 3.96241i | −0.413016 | + | 0.377801i | ||||
\(111\) | − | 3.95756i | − | 0.375635i | ||||||
\(112\) | 1.94096 | − | 1.79796i | 0.183404 | − | 0.169892i | ||||
\(113\) | 1.63875 | + | 1.63875i | 0.154161 | + | 0.154161i | 0.779973 | − | 0.625813i | \(-0.215233\pi\) |
−0.625813 | + | 0.779973i | \(0.715233\pi\) | |||||||
\(114\) | −4.02903 | − | 2.32616i | −0.377353 | − | 0.217865i | ||||
\(115\) | 11.2068 | − | 2.47430i | 1.04504 | − | 0.230730i | ||||
\(116\) | −2.99705 | − | 5.19104i | −0.278269 | − | 0.481976i | ||||
\(117\) | 1.66471 | − | 0.446058i | 0.153902 | − | 0.0412380i | ||||
\(118\) | −5.45917 | + | 5.45917i | −0.502557 | + | 0.502557i | ||||
\(119\) | 10.6702 | − | 16.9504i | 0.978137 | − | 1.55384i | ||||
\(120\) | −1.03078 | − | 1.98431i | −0.0940970 | − | 0.181142i | ||||
\(121\) | 2.05352 | − | 3.55681i | 0.186684 | − | 0.323346i | ||||
\(122\) | 1.24487 | − | 4.64593i | 0.112706 | − | 0.420623i | ||||
\(123\) | −1.44789 | + | 5.40361i | −0.130552 | + | 0.487227i | ||||
\(124\) | 5.00088 | − | 8.66177i | 0.449092 | − | 0.777850i | ||||
\(125\) | 11.0809 | + | 1.48815i | 0.991102 | + | 0.133105i | ||||
\(126\) | 1.40948 | − | 2.23906i | 0.125566 | − | 0.199471i | ||||
\(127\) | 6.79622 | − | 6.79622i | 0.603067 | − | 0.603067i | −0.338058 | − | 0.941125i | \(-0.609770\pi\) |
0.941125 | + | 0.338058i | \(0.109770\pi\) | |||||||
\(128\) | 0.965926 | − | 0.258819i | 0.0853766 | − | 0.0228766i | ||||
\(129\) | 0.385890 | + | 0.668382i | 0.0339757 | + | 0.0588477i | ||||
\(130\) | −3.24839 | − | 2.07342i | −0.284903 | − | 0.181851i | ||||
\(131\) | −3.66846 | − | 2.11799i | −0.320515 | − | 0.185050i | 0.331107 | − | 0.943593i | \(-0.392578\pi\) |
−0.651622 | + | 0.758544i | \(0.725911\pi\) | |||||||
\(132\) | −1.85647 | − | 1.85647i | −0.161585 | − | 0.161585i | ||||
\(133\) | −9.02997 | + | 8.36470i | −0.782998 | + | 0.725311i | ||||
\(134\) | − | 2.56340i | − | 0.221444i | ||||||
\(135\) | −1.50924 | − | 1.64991i | −0.129894 | − | 0.142002i | ||||
\(136\) | 6.55610 | − | 3.78517i | 0.562181 | − | 0.324575i | ||||
\(137\) | 7.98108 | + | 2.13852i | 0.681870 | + | 0.182706i | 0.583096 | − | 0.812403i | \(-0.301841\pi\) |
0.0987740 | + | 0.995110i | \(0.468508\pi\) | |||||||
\(138\) | 1.32840 | + | 4.95766i | 0.113081 | + | 0.422024i | ||||
\(139\) | 9.35059 | 0.793106 | 0.396553 | − | 0.918012i | \(-0.370206\pi\) | ||||
0.396553 | + | 0.918012i | \(0.370206\pi\) | |||||||
\(140\) | −5.82148 | + | 1.05375i | −0.492005 | + | 0.0890582i | ||||
\(141\) | 6.33974 | 0.533903 | ||||||||
\(142\) | 2.16624 | + | 8.08453i | 0.181787 | + | 0.678439i | ||||
\(143\) | −4.37060 | − | 1.17110i | −0.365488 | − | 0.0979322i | ||||
\(144\) | 0.866025 | − | 0.500000i | 0.0721688 | − | 0.0416667i | ||||
\(145\) | −0.596249 | + | 13.3899i | −0.0495158 | + | 1.11197i | ||||
\(146\) | 13.6529i | 1.12992i | ||||||||
\(147\) | −4.55723 | − | 5.31335i | −0.375874 | − | 0.438238i | ||||
\(148\) | −2.79841 | − | 2.79841i | −0.230028 | − | 0.230028i | ||||
\(149\) | −4.12068 | − | 2.37908i | −0.337579 | − | 0.194902i | 0.321622 | − | 0.946868i | \(-0.395772\pi\) |
−0.659201 | + | 0.751967i | \(0.729105\pi\) | |||||||
\(150\) | −0.444415 | + | 4.98021i | −0.0362863 | + | 0.406632i | ||||
\(151\) | −1.07557 | − | 1.86294i | −0.0875286 | − | 0.151604i | 0.818937 | − | 0.573883i | \(-0.194564\pi\) |
−0.906466 | + | 0.422279i | \(0.861230\pi\) | |||||||
\(152\) | −4.49380 | + | 1.20411i | −0.364495 | + | 0.0976661i | ||||
\(153\) | 5.35303 | − | 5.35303i | 0.432767 | − | 0.432767i | ||||
\(154\) | −6.14399 | + | 3.24069i | −0.495097 | + | 0.261142i | ||||
\(155\) | −19.8466 | + | 10.3096i | −1.59412 | + | 0.828089i | ||||
\(156\) | 0.861717 | − | 1.49254i | 0.0689926 | − | 0.119499i | ||||
\(157\) | 0.984635 | − | 3.67471i | 0.0785824 | − | 0.293274i | −0.915439 | − | 0.402456i | \(-0.868157\pi\) |
0.994022 | + | 0.109182i | \(0.0348233\pi\) | |||||||
\(158\) | 2.32805 | − | 8.68839i | 0.185209 | − | 0.691211i | ||||
\(159\) | 4.28981 | − | 7.43018i | 0.340204 | − | 0.589251i | ||||
\(160\) | −2.13199 | − | 0.674247i | −0.168549 | − | 0.0533039i | ||||
\(161\) | 13.5695 | + | 0.518978i | 1.06943 | + | 0.0409012i | ||||
\(162\) | 0.707107 | − | 0.707107i | 0.0555556 | − | 0.0555556i | ||||
\(163\) | −4.30925 | + | 1.15466i | −0.337526 | + | 0.0904399i | −0.423601 | − | 0.905849i | \(-0.639234\pi\) |
0.0860750 | + | 0.996289i | \(0.472568\pi\) | |||||||
\(164\) | 2.79711 | + | 4.84474i | 0.218418 | + | 0.378311i | ||||
\(165\) | 1.26568 | + | 5.73261i | 0.0985327 | + | 0.446283i | ||||
\(166\) | 9.79189 | + | 5.65335i | 0.759998 | + | 0.438785i | ||||
\(167\) | 16.1327 | + | 16.1327i | 1.24839 | + | 1.24839i | 0.956432 | + | 0.291956i | \(0.0943062\pi\) |
0.291956 | + | 0.956432i | \(0.405694\pi\) | |||||||
\(168\) | −0.586601 | − | 2.57990i | −0.0452572 | − | 0.199044i | ||||
\(169\) | 10.0298i | 0.771521i | ||||||||
\(170\) | −16.9110 | − | 0.753042i | −1.29702 | − | 0.0577557i | ||||
\(171\) | −4.02903 | + | 2.32616i | −0.308107 | + | 0.177886i | ||||
\(172\) | 0.745483 | + | 0.199752i | 0.0568425 | + | 0.0152309i | ||||
\(173\) | −3.20476 | − | 11.9603i | −0.243653 | − | 0.909327i | −0.974055 | − | 0.226309i | \(-0.927334\pi\) |
0.730402 | − | 0.683017i | \(-0.239333\pi\) | |||||||
\(174\) | −5.99410 | −0.454411 | ||||||||
\(175\) | 12.2403 | + | 5.01751i | 0.925279 | + | 0.379288i | ||||
\(176\) | −2.62544 | −0.197900 | ||||||||
\(177\) | 1.99819 | + | 7.45736i | 0.150194 | + | 0.560530i | ||||
\(178\) | 0.156994 | + | 0.0420664i | 0.0117672 | + | 0.00315301i | ||||
\(179\) | −17.5544 | + | 10.1350i | −1.31208 | + | 0.757528i | −0.982440 | − | 0.186580i | \(-0.940260\pi\) |
−0.329637 | + | 0.944108i | \(0.606926\pi\) | |||||||
\(180\) | −2.23385 | − | 0.0994727i | −0.166502 | − | 0.00741426i | ||||
\(181\) | 7.52637i | 0.559431i | 0.960083 | + | 0.279715i | \(0.0902401\pi\) | ||||
−0.960083 | + | 0.279715i | \(0.909760\pi\) | |||||||
\(182\) | −3.09867 | − | 3.34512i | −0.229689 | − | 0.247957i | ||||
\(183\) | −3.40106 | − | 3.40106i | −0.251413 | − | 0.251413i | ||||
\(184\) | 4.44492 | + | 2.56627i | 0.327684 | + | 0.189188i | ||||
\(185\) | 1.90786 | + | 8.64126i | 0.140269 | + | 0.635318i | ||||
\(186\) | −5.00088 | − | 8.66177i | −0.366682 | − | 0.635112i | ||||
\(187\) | −19.1982 | + | 5.14415i | −1.40391 | + | 0.376178i | ||||
\(188\) | 4.48288 | − | 4.48288i | 0.326947 | − | 0.326947i | ||||
\(189\) | −1.23434 | − | 2.34017i | −0.0897851 | − | 0.170222i | ||||
\(190\) | 9.91871 | + | 3.13681i | 0.719579 | + | 0.227568i | ||||
\(191\) | −2.16395 | + | 3.74807i | −0.156578 | + | 0.271201i | −0.933632 | − | 0.358233i | \(-0.883379\pi\) |
0.777055 | + | 0.629433i | \(0.216713\pi\) | |||||||
\(192\) | 0.258819 | − | 0.965926i | 0.0186787 | − | 0.0697097i | ||||
\(193\) | 5.50458 | − | 20.5434i | 0.396228 | − | 1.47874i | −0.423449 | − | 0.905920i | \(-0.639181\pi\) |
0.819678 | − | 0.572825i | \(-0.194153\pi\) | |||||||
\(194\) | −3.07788 | + | 5.33105i | −0.220979 | + | 0.382747i | ||||
\(195\) | −3.41983 | + | 1.77648i | −0.244899 | + | 0.127217i | ||||
\(196\) | −6.97955 | − | 0.534660i | −0.498539 | − | 0.0381900i | ||||
\(197\) | −14.1314 | + | 14.1314i | −1.00682 | + | 1.00682i | −0.00684089 | + | 0.999977i | \(0.502178\pi\) |
−0.999977 | + | 0.00684089i | \(0.997822\pi\) | |||||||
\(198\) | −2.53598 | + | 0.679515i | −0.180224 | + | 0.0482910i | ||||
\(199\) | 0.422034 | + | 0.730985i | 0.0299172 | + | 0.0518182i | 0.880596 | − | 0.473867i | \(-0.157142\pi\) |
−0.850679 | + | 0.525685i | \(0.823809\pi\) | |||||||
\(200\) | 3.20729 | + | 3.83579i | 0.226790 | + | 0.271231i | ||||
\(201\) | −2.21997 | − | 1.28170i | −0.156584 | − | 0.0904041i | ||||
\(202\) | 5.42632 | + | 5.42632i | 0.381795 | + | 0.381795i | ||||
\(203\) | −4.68703 | + | 15.1505i | −0.328965 | + | 1.06335i | ||||
\(204\) | − | 7.57033i | − | 0.530029i | ||||||
\(205\) | 0.556473 | − | 12.4967i | 0.0388657 | − | 0.872806i | ||||
\(206\) | −3.52293 | + | 2.03396i | −0.245454 | + | 0.141713i | ||||
\(207\) | 4.95766 | + | 1.32840i | 0.344581 | + | 0.0923302i | ||||
\(208\) | −0.446058 | − | 1.66471i | −0.0309285 | − | 0.115427i | ||||
\(209\) | 12.2144 | 0.844888 | ||||||||
\(210\) | −1.99816 | + | 5.56842i | −0.137886 | + | 0.384258i | ||||
\(211\) | 22.1844 | 1.52724 | 0.763619 | − | 0.645667i | \(-0.223421\pi\) | ||||
0.763619 | + | 0.645667i | \(0.223421\pi\) | |||||||
\(212\) | −2.22057 | − | 8.28728i | −0.152509 | − | 0.569173i | ||||
\(213\) | 8.08453 | + | 2.16624i | 0.553943 | + | 0.148429i | ||||
\(214\) | −2.43966 | + | 1.40854i | −0.166771 | + | 0.0962855i | ||||
\(215\) | −1.16480 | − | 1.27337i | −0.0794386 | − | 0.0868431i | ||||
\(216\) | − | 1.00000i | − | 0.0680414i | ||||||
\(217\) | −25.8036 | + | 5.86704i | −1.75166 | + | 0.398280i | ||||
\(218\) | 8.59885 | + | 8.59885i | 0.582388 | + | 0.582388i | ||||
\(219\) | 11.8238 | + | 6.82646i | 0.798976 | + | 0.461289i | ||||
\(220\) | 4.94854 | + | 3.15860i | 0.333630 | + | 0.212953i | ||||
\(221\) | −6.52348 | − | 11.2990i | −0.438817 | − | 0.760053i | ||||
\(222\) | −3.82271 | + | 1.02429i | −0.256563 | + | 0.0687459i | ||||
\(223\) | 10.7632 | − | 10.7632i | 0.720757 | − | 0.720757i | −0.248002 | − | 0.968759i | \(-0.579774\pi\) |
0.968759 | + | 0.248002i | \(0.0797741\pi\) | |||||||
\(224\) | −2.23906 | − | 1.40948i | −0.149603 | − | 0.0941747i | ||||
\(225\) | 4.09078 | + | 2.87498i | 0.272719 | + | 0.191665i | ||||
\(226\) | 1.15877 | − | 2.00705i | 0.0770804 | − | 0.133507i | ||||
\(227\) | 0.967615 | − | 3.61119i | 0.0642229 | − | 0.239683i | −0.926351 | − | 0.376661i | \(-0.877072\pi\) |
0.990574 | + | 0.136978i | \(0.0437389\pi\) | |||||||
\(228\) | −1.20411 | + | 4.49380i | −0.0797441 | + | 0.297609i | ||||
\(229\) | 7.59088 | − | 13.1478i | 0.501619 | − | 0.868830i | −0.498379 | − | 0.866959i | \(-0.666071\pi\) |
0.999998 | − | 0.00187073i | \(-0.000595471\pi\) | |||||||
\(230\) | −5.29053 | − | 10.1846i | −0.348847 | − | 0.671551i | ||||
\(231\) | −0.265472 | + | 6.94119i | −0.0174668 | + | 0.456697i | ||||
\(232\) | −4.23847 | + | 4.23847i | −0.278269 | + | 0.278269i | ||||
\(233\) | 1.17170 | − | 0.313957i | 0.0767607 | − | 0.0205680i | −0.220234 | − | 0.975447i | \(-0.570682\pi\) |
0.296995 | + | 0.954879i | \(0.404016\pi\) | |||||||
\(234\) | −0.861717 | − | 1.49254i | −0.0563322 | − | 0.0975702i | ||||
\(235\) | −13.8427 | + | 3.05627i | −0.903000 | + | 0.199369i | ||||
\(236\) | 6.68609 | + | 3.86022i | 0.435227 | + | 0.251279i | ||||
\(237\) | −6.36034 | − | 6.36034i | −0.413149 | − | 0.413149i | ||||
\(238\) | −19.1345 | − | 5.91955i | −1.24030 | − | 0.383707i | ||||
\(239\) | − | 16.1593i | − | 1.04526i | −0.852560 | − | 0.522630i | \(-0.824951\pi\) | ||
0.852560 | − | 0.522630i | \(-0.175049\pi\) | |||||||
\(240\) | −1.64991 | + | 1.50924i | −0.106501 | + | 0.0974207i | ||||
\(241\) | −21.8384 | + | 12.6084i | −1.40674 | + | 0.812180i | −0.995072 | − | 0.0991549i | \(-0.968386\pi\) |
−0.411665 | + | 0.911335i | \(0.635053\pi\) | |||||||
\(242\) | −3.96710 | − | 1.06298i | −0.255015 | − | 0.0683311i | ||||
\(243\) | −0.258819 | − | 0.965926i | −0.0166032 | − | 0.0619642i | ||||
\(244\) | −4.80982 | −0.307917 | ||||||||
\(245\) | 12.5121 | + | 9.40466i | 0.799368 | + | 0.600842i | ||||
\(246\) | 5.59423 | 0.356675 | ||||||||
\(247\) | 2.07520 | + | 7.74476i | 0.132042 | + | 0.492787i | ||||
\(248\) | −9.66095 | − | 2.58864i | −0.613471 | − | 0.164379i | ||||
\(249\) | 9.79189 | − | 5.65335i | 0.620536 | − | 0.358266i | ||||
\(250\) | −1.43049 | − | 11.0884i | −0.0904722 | − | 0.701295i | ||||
\(251\) | − | 2.07559i | − | 0.131010i | −0.997852 | − | 0.0655051i | \(-0.979134\pi\) | ||
0.997852 | − | 0.0655051i | \(-0.0208659\pi\) | |||||||
\(252\) | −2.52756 | − | 0.781940i | −0.159221 | − | 0.0492576i | ||||
\(253\) | −9.52841 | − | 9.52841i | −0.599046 | − | 0.599046i | ||||
\(254\) | −8.32363 | − | 4.80565i | −0.522271 | − | 0.301533i | ||||
\(255\) | −9.10766 | + | 14.2689i | −0.570344 | + | 0.893550i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 4.34881 | − | 1.16526i | 0.271271 | − | 0.0726869i | −0.120619 | − | 0.992699i | \(-0.538488\pi\) |
0.391890 | + | 0.920012i | \(0.371821\pi\) | |||||||
\(258\) | 0.545731 | − | 0.545731i | 0.0339757 | − | 0.0339757i | ||||
\(259\) | −0.400169 | + | 10.4631i | −0.0248653 | + | 0.650143i | ||||
\(260\) | −1.16202 | + | 3.67435i | −0.0720655 | + | 0.227873i | ||||
\(261\) | −2.99705 | + | 5.19104i | −0.185513 | + | 0.321317i | ||||
\(262\) | −1.09635 | + | 4.09164i | −0.0677328 | + | 0.252782i | ||||
\(263\) | 5.79744 | − | 21.6364i | 0.357486 | − | 1.33415i | −0.519842 | − | 0.854263i | \(-0.674009\pi\) |
0.877327 | − | 0.479892i | \(-0.159324\pi\) | |||||||
\(264\) | −1.31272 | + | 2.27370i | −0.0807924 | + | 0.139937i | ||||
\(265\) | −5.78479 | + | 18.2917i | −0.355357 | + | 1.12365i | ||||
\(266\) | 10.4168 | + | 6.55734i | 0.638695 | + | 0.402056i | ||||
\(267\) | 0.114928 | − | 0.114928i | 0.00703346 | − | 0.00703346i | ||||
\(268\) | −2.47605 | + | 0.663456i | −0.151249 | + | 0.0405270i | ||||
\(269\) | 5.86211 | + | 10.1535i | 0.357419 | + | 0.619068i | 0.987529 | − | 0.157438i | \(-0.0503235\pi\) |
−0.630110 | + | 0.776506i | \(0.716990\pi\) | |||||||
\(270\) | −1.20307 | + | 1.88484i | −0.0732167 | + | 0.114708i | ||||
\(271\) | 20.8254 | + | 12.0235i | 1.26505 | + | 0.730377i | 0.974047 | − | 0.226344i | \(-0.0726775\pi\) |
0.291004 | + | 0.956722i | \(0.406011\pi\) | |||||||
\(272\) | −5.35303 | − | 5.35303i | −0.324575 | − | 0.324575i | ||||
\(273\) | −4.44629 | + | 1.01097i | −0.269102 | + | 0.0611866i | ||||
\(274\) | − | 8.26262i | − | 0.499163i | ||||||
\(275\) | −5.52716 | − | 11.9069i | −0.333300 | − | 0.718013i | ||||
\(276\) | 4.44492 | − | 2.56627i | 0.267552 | − | 0.154471i | ||||
\(277\) | 26.2705 | + | 7.03917i | 1.57844 | + | 0.422943i | 0.938444 | − | 0.345433i | \(-0.112268\pi\) |
0.640000 | + | 0.768375i | \(0.278934\pi\) | |||||||
\(278\) | −2.42011 | − | 9.03197i | −0.145149 | − | 0.541702i | ||||
\(279\) | −10.0018 | −0.598789 | ||||||||
\(280\) | 2.52455 | + | 5.35039i | 0.150871 | + | 0.319747i | ||||
\(281\) | 22.1913 | 1.32382 | 0.661910 | − | 0.749583i | \(-0.269746\pi\) | ||||
0.661910 | + | 0.749583i | \(0.269746\pi\) | |||||||
\(282\) | −1.64085 | − | 6.12372i | −0.0977110 | − | 0.364662i | ||||
\(283\) | 10.7244 | + | 2.87361i | 0.637502 | + | 0.170818i | 0.563072 | − | 0.826408i | \(-0.309620\pi\) |
0.0744302 | + | 0.997226i | \(0.476286\pi\) | |||||||
\(284\) | 7.24840 | − | 4.18486i | 0.430113 | − | 0.248326i | ||||
\(285\) | 7.67591 | − | 7.02145i | 0.454682 | − | 0.415915i | ||||
\(286\) | 4.52478i | 0.267556i | ||||||||
\(287\) | 4.37435 | − | 14.1398i | 0.258210 | − | 0.834643i | ||||
\(288\) | −0.707107 | − | 0.707107i | −0.0416667 | − | 0.0416667i | ||||
\(289\) | −34.9094 | − | 20.1550i | −2.05350 | − | 1.18559i | ||||
\(290\) | 13.0880 | − | 2.88964i | 0.768555 | − | 0.169685i | ||||
\(291\) | 3.07788 | + | 5.33105i | 0.180429 | + | 0.312512i | ||||
\(292\) | 13.1877 | − | 3.53363i | 0.771752 | − | 0.206790i | ||||
\(293\) | 6.51580 | − | 6.51580i | 0.380657 | − | 0.380657i | −0.490682 | − | 0.871339i | \(-0.663252\pi\) |
0.871339 | + | 0.490682i | \(0.163252\pi\) | |||||||
\(294\) | −3.95280 | + | 5.77714i | −0.230532 | + | 0.336930i | ||||
\(295\) | −7.95808 | − | 15.3197i | −0.463337 | − | 0.891950i | ||||
\(296\) | −1.97878 | + | 3.42734i | −0.115014 | + | 0.199210i | ||||
\(297\) | −0.679515 | + | 2.53598i | −0.0394294 | + | 0.147153i | ||||
\(298\) | −1.23150 | + | 4.59602i | −0.0713389 | + | 0.266240i | ||||
\(299\) | 4.42280 | − | 7.66052i | 0.255777 | − | 0.443019i | ||||
\(300\) | 4.92554 | − | 0.859701i | 0.284376 | − | 0.0496349i | ||||
\(301\) | −0.952640 | − | 1.80610i | −0.0549093 | − | 0.104102i | ||||
\(302\) | −1.52108 | + | 1.52108i | −0.0875286 | + | 0.0875286i | ||||
\(303\) | 7.41249 | − | 1.98617i | 0.425836 | − | 0.114103i | ||||
\(304\) | 2.32616 | + | 4.02903i | 0.133414 | + | 0.231081i | ||||
\(305\) | 9.06574 | + | 5.78657i | 0.519103 | + | 0.331338i | ||||
\(306\) | −6.55610 | − | 3.78517i | −0.374787 | − | 0.216384i | ||||
\(307\) | −20.6010 | − | 20.6010i | −1.17576 | − | 1.17576i | −0.980814 | − | 0.194947i | \(-0.937546\pi\) |
−0.194947 | − | 0.980814i | \(-0.562454\pi\) | |||||||
\(308\) | 4.72045 | + | 5.09588i | 0.268973 | + | 0.290365i | ||||
\(309\) | 4.06792i | 0.231416i | ||||||||
\(310\) | 15.0950 | + | 16.5020i | 0.857339 | + | 0.937251i | ||||
\(311\) | 28.4631 | − | 16.4332i | 1.61399 | − | 0.931840i | 0.625562 | − | 0.780175i | \(-0.284870\pi\) |
0.988432 | − | 0.151665i | \(-0.0484634\pi\) | |||||||
\(312\) | −1.66471 | − | 0.446058i | −0.0942456 | − | 0.0252530i | ||||
\(313\) | −5.74141 | − | 21.4272i | −0.324523 | − | 1.21114i | −0.914790 | − | 0.403930i | \(-0.867644\pi\) |
0.590267 | − | 0.807208i | \(-0.299023\pi\) | |||||||
\(314\) | −3.80434 | −0.214691 | ||||||||
\(315\) | 3.82331 | + | 4.51467i | 0.215419 | + | 0.254373i | ||||
\(316\) | −8.99488 | −0.506002 | ||||||||
\(317\) | −3.71781 | − | 13.8751i | −0.208813 | − | 0.779301i | −0.988253 | − | 0.152824i | \(-0.951163\pi\) |
0.779440 | − | 0.626476i | \(-0.215504\pi\) | |||||||
\(318\) | −8.28728 | − | 2.22057i | −0.464728 | − | 0.124523i | ||||
\(319\) | 13.6288 | − | 7.86858i | 0.763065 | − | 0.440556i | ||||
\(320\) | −0.0994727 | + | 2.23385i | −0.00556069 | + | 0.124876i | ||||
\(321\) | 2.81707i | 0.157234i | ||||||||
\(322\) | −3.01076 | − | 13.2415i | −0.167783 | − | 0.737918i | ||||
\(323\) | 24.9040 | + | 24.9040i | 1.38570 | + | 1.38570i | ||||
\(324\) | −0.866025 | − | 0.500000i | −0.0481125 | − | 0.0277778i | ||||
\(325\) | 6.61073 | − | 5.52756i | 0.366697 | − | 0.306614i | ||||
\(326\) | 2.23063 | + | 3.86356i | 0.123543 | + | 0.213983i | ||||
\(327\) | 11.7462 | − | 3.14740i | 0.649569 | − | 0.174051i | ||||
\(328\) | 3.95571 | − | 3.95571i | 0.218418 | − | 0.218418i | ||||
\(329\) | −16.7611 | − | 0.641044i | −0.924071 | − | 0.0353419i | ||||
\(330\) | 5.20970 | − | 2.70626i | 0.286784 | − | 0.148975i | ||||
\(331\) | 1.44533 | − | 2.50339i | 0.0794427 | − | 0.137599i | −0.823567 | − | 0.567219i | \(-0.808019\pi\) |
0.903010 | + | 0.429620i | \(0.141353\pi\) | |||||||
\(332\) | 2.92639 | − | 10.9214i | 0.160606 | − | 0.599391i | ||||
\(333\) | −1.02429 | + | 3.82271i | −0.0561308 | + | 0.209483i | ||||
\(334\) | 11.4076 | − | 19.7585i | 0.624194 | − | 1.08114i | ||||
\(335\) | 5.46514 | + | 1.72836i | 0.298593 | + | 0.0944306i | ||||
\(336\) | −2.34017 | + | 1.23434i | −0.127667 | + | 0.0673388i | ||||
\(337\) | −23.4453 | + | 23.4453i | −1.27715 | + | 1.27715i | −0.334891 | + | 0.942257i | \(0.608699\pi\) |
−0.942257 | + | 0.334891i | \(0.891301\pi\) | |||||||
\(338\) | 9.68802 | − | 2.59590i | 0.526959 | − | 0.141198i | ||||
\(339\) | −1.15877 | − | 2.00705i | −0.0629359 | − | 0.109008i | ||||
\(340\) | 3.64951 | + | 16.5297i | 0.197923 | + | 0.896448i | ||||
\(341\) | 22.7410 | + | 13.1295i | 1.23149 | + | 0.711003i | ||||
\(342\) | 3.28969 | + | 3.28969i | 0.177886 | + | 0.177886i | ||||
\(343\) | 11.5112 | + | 14.5083i | 0.621547 | + | 0.783377i | ||||
\(344\) | − | 0.771781i | − | 0.0416116i | ||||||
\(345\) | −11.4654 | − | 0.510548i | −0.617274 | − | 0.0274870i | ||||
\(346\) | −10.7233 | + | 6.19112i | −0.576490 | + | 0.332837i | ||||
\(347\) | 10.9516 | + | 2.93447i | 0.587912 | + | 0.157531i | 0.540499 | − | 0.841345i | \(-0.318235\pi\) |
0.0474135 | + | 0.998875i | \(0.484902\pi\) | |||||||
\(348\) | 1.55139 | + | 5.78985i | 0.0831631 | + | 0.310369i | ||||
\(349\) | 6.80786 | 0.364417 | 0.182208 | − | 0.983260i | \(-0.441675\pi\) | ||||
0.182208 | + | 0.983260i | \(0.441675\pi\) | |||||||
\(350\) | 1.67853 | − | 13.1218i | 0.0897211 | − | 0.701392i | ||||
\(351\) | −1.72343 | −0.0919901 | ||||||||
\(352\) | 0.679515 | + | 2.53598i | 0.0362183 | + | 0.135168i | ||||
\(353\) | −26.8765 | − | 7.20154i | −1.43049 | − | 0.383299i | −0.541299 | − | 0.840830i | \(-0.682067\pi\) |
−0.889194 | + | 0.457531i | \(0.848734\pi\) | |||||||
\(354\) | 6.68609 | − | 3.86022i | 0.355362 | − | 0.205168i | ||||
\(355\) | −18.6967 | − | 0.832559i | −0.992320 | − | 0.0441877i | ||||
\(356\) | − | 0.162532i | − | 0.00861419i | ||||||
\(357\) | −14.6937 | + | 13.6112i | −0.777674 | + | 0.720380i | ||||
\(358\) | 14.3331 | + | 14.3331i | 0.757528 | + | 0.757528i | ||||
\(359\) | −11.8979 | − | 6.86927i | −0.627948 | − | 0.362546i | 0.152009 | − | 0.988379i | \(-0.451426\pi\) |
−0.779957 | + | 0.625833i | \(0.784759\pi\) | |||||||
\(360\) | 0.482081 | + | 2.18348i | 0.0254079 | + | 0.115080i | ||||
\(361\) | −1.32204 | − | 2.28984i | −0.0695809 | − | 0.120518i | ||||
\(362\) | 7.26992 | − | 1.94797i | 0.382098 | − | 0.102383i | ||||
\(363\) | −2.90412 | + | 2.90412i | −0.152427 | + | 0.152427i | ||||
\(364\) | −2.42914 | + | 3.85887i | −0.127322 | + | 0.202260i | ||||
\(365\) | −29.1079 | − | 9.20544i | −1.52358 | − | 0.481835i | ||||
\(366\) | −2.40491 | + | 4.16543i | −0.125707 | + | 0.217730i | ||||
\(367\) | 6.52689 | − | 24.3587i | 0.340701 | − | 1.27151i | −0.556854 | − | 0.830610i | \(-0.687992\pi\) |
0.897555 | − | 0.440903i | \(-0.145342\pi\) | |||||||
\(368\) | 1.32840 | − | 4.95766i | 0.0692477 | − | 0.258436i | ||||
\(369\) | 2.79711 | − | 4.84474i | 0.145612 | − | 0.252207i | ||||
\(370\) | 7.85302 | − | 4.07937i | 0.408259 | − | 0.212077i | ||||
\(371\) | −12.0928 | + | 19.2103i | −0.627827 | + | 0.997348i | ||||
\(372\) | −7.07231 | + | 7.07231i | −0.366682 | + | 0.366682i | ||||
\(373\) | −25.9391 | + | 6.95037i | −1.34308 | + | 0.359876i | −0.857575 | − | 0.514359i | \(-0.828030\pi\) |
−0.485502 | + | 0.874235i | \(0.661363\pi\) | |||||||
\(374\) | 9.93774 | + | 17.2127i | 0.513868 | + | 0.890046i | ||||
\(375\) | −10.3181 | − | 4.30538i | −0.532826 | − | 0.222329i | ||||
\(376\) | −5.49038 | − | 3.16987i | −0.283145 | − | 0.163474i | ||||
\(377\) | 7.30472 | + | 7.30472i | 0.376212 | + | 0.376212i | ||||
\(378\) | −1.94096 | + | 1.79796i | −0.0998323 | + | 0.0924772i | ||||
\(379\) | 3.51982i | 0.180801i | 0.995905 | + | 0.0904005i | \(0.0288147\pi\) | ||||
−0.995905 | + | 0.0904005i | \(0.971185\pi\) | |||||||
\(380\) | 0.462779 | − | 10.3926i | 0.0237401 | − | 0.533129i | ||||
\(381\) | −8.32363 | + | 4.80565i | −0.426433 | + | 0.246201i | ||||
\(382\) | 4.18042 | + | 1.12014i | 0.213889 | + | 0.0573114i | ||||
\(383\) | 2.31980 | + | 8.65762i | 0.118536 | + | 0.442384i | 0.999527 | − | 0.0307499i | \(-0.00978953\pi\) |
−0.880991 | + | 0.473133i | \(0.843123\pi\) | |||||||
\(384\) | −1.00000 | −0.0510310 | ||||||||
\(385\) | −2.76656 | − | 15.2840i | −0.140997 | − | 0.778943i | ||||
\(386\) | −21.2681 | −1.08252 | ||||||||
\(387\) | −0.199752 | − | 0.745483i | −0.0101539 | − | 0.0378950i | ||||
\(388\) | 5.94601 | + | 1.59323i | 0.301863 | + | 0.0808840i | ||||
\(389\) | −27.3119 | + | 15.7685i | −1.38477 | + | 0.799497i | −0.992720 | − | 0.120447i | \(-0.961567\pi\) |
−0.392049 | + | 0.919944i | \(0.628234\pi\) | |||||||
\(390\) | 2.60107 | + | 2.84351i | 0.131710 | + | 0.143987i | ||||
\(391\) | − | 38.8551i | − | 1.96499i | ||||||
\(392\) | 1.29000 | + | 6.88011i | 0.0651548 | + | 0.347498i | ||||
\(393\) | 2.99529 | + | 2.99529i | 0.151092 | + | 0.151092i | ||||
\(394\) | 17.3073 | + | 9.99238i | 0.871930 | + | 0.503409i | ||||
\(395\) | 16.9539 | + | 10.8215i | 0.853043 | + | 0.544489i | ||||
\(396\) | 1.31272 | + | 2.27370i | 0.0659667 | + | 0.114258i | ||||
\(397\) | −6.00656 | + | 1.60945i | −0.301461 | + | 0.0807762i | −0.406379 | − | 0.913705i | \(-0.633209\pi\) |
0.104918 | + | 0.994481i | \(0.466542\pi\) | |||||||
\(398\) | 0.596847 | − | 0.596847i | 0.0299172 | − | 0.0299172i | ||||
\(399\) | 10.8872 | − | 5.74255i | 0.545043 | − | 0.287487i | ||||
\(400\) | 2.87498 | − | 4.09078i | 0.143749 | − | 0.204539i | ||||
\(401\) | 10.2570 | − | 17.7657i | 0.512211 | − | 0.887176i | −0.487688 | − | 0.873018i | \(-0.662160\pi\) |
0.999900 | − | 0.0141584i | \(-0.00450691\pi\) | |||||||
\(402\) | −0.663456 | + | 2.47605i | −0.0330902 | + | 0.123494i | ||||
\(403\) | −4.46136 | + | 16.6500i | −0.222236 | + | 0.829396i | ||||
\(404\) | 3.83699 | − | 6.64586i | 0.190897 | − | 0.330644i | ||||
\(405\) | 1.03078 | + | 1.98431i | 0.0512199 | + | 0.0986012i | ||||
\(406\) | 15.8473 | + | 0.606094i | 0.786489 | + | 0.0300799i | ||||
\(407\) | 7.34708 | − | 7.34708i | 0.364181 | − | 0.364181i | ||||
\(408\) | −7.31238 | + | 1.95935i | −0.362017 | + | 0.0970021i | ||||
\(409\) | 12.8256 | + | 22.2145i | 0.634184 | + | 1.09844i | 0.986687 | + | 0.162628i | \(0.0519970\pi\) |
−0.352504 | + | 0.935810i | \(0.614670\pi\) | |||||||
\(410\) | −12.2149 | + | 2.69687i | −0.603251 | + | 0.133189i | ||||
\(411\) | −7.15564 | − | 4.13131i | −0.352962 | − | 0.203783i | ||||
\(412\) | 2.87646 | + | 2.87646i | 0.141713 | + | 0.141713i | ||||
\(413\) | −4.52881 | − | 19.9180i | −0.222848 | − | 0.980099i | ||||
\(414\) | − | 5.13255i | − | 0.252251i | ||||||
\(415\) | −18.6551 | + | 17.0645i | −0.915740 | + | 0.837662i | ||||
\(416\) | −1.49254 | + | 0.861717i | −0.0731777 | + | 0.0422492i | ||||
\(417\) | −9.03197 | − | 2.42011i | −0.442298 | − | 0.118513i | ||||
\(418\) | −3.16132 | − | 11.7982i | −0.154625 | − | 0.577069i | ||||
\(419\) | 1.54146 | 0.0753054 | 0.0376527 | − | 0.999291i | \(-0.488012\pi\) | ||||
0.0376527 | + | 0.999291i | \(0.488012\pi\) | |||||||
\(420\) | 5.89585 | + | 0.488864i | 0.287688 | + | 0.0238541i | ||||
\(421\) | −20.0850 | −0.978884 | −0.489442 | − | 0.872036i | \(-0.662800\pi\) | ||||
−0.489442 | + | 0.872036i | \(0.662800\pi\) | |||||||
\(422\) | −5.74175 | − | 21.4285i | −0.279504 | − | 1.04312i | ||||
\(423\) | −6.12372 | − | 1.64085i | −0.297746 | − | 0.0797807i | ||||
\(424\) | −7.43018 | + | 4.28981i | −0.360841 | + | 0.208332i | ||||
\(425\) | 13.0077 | − | 35.5464i | 0.630966 | − | 1.72425i | ||||
\(426\) | − | 8.36973i | − | 0.405515i | ||||||
\(427\) | 8.64788 | + | 9.33568i | 0.418500 | + | 0.451785i | ||||
\(428\) | 1.99197 | + | 1.99197i | 0.0962855 | + | 0.0962855i | ||||
\(429\) | 3.91857 | + | 2.26239i | 0.189190 | + | 0.109229i | ||||
\(430\) | −0.928509 | + | 1.45468i | −0.0447767 | + | 0.0701510i | ||||
\(431\) | −10.9503 | − | 18.9665i | −0.527457 | − | 0.913583i | −0.999488 | − | 0.0320007i | \(-0.989812\pi\) |
0.472030 | − | 0.881582i | \(-0.343521\pi\) | |||||||
\(432\) | −0.965926 | + | 0.258819i | −0.0464731 | + | 0.0124524i | ||||
\(433\) | −5.51584 | + | 5.51584i | −0.265074 | + | 0.265074i | −0.827112 | − | 0.562038i | \(-0.810018\pi\) |
0.562038 | + | 0.827112i | \(0.310018\pi\) | |||||||
\(434\) | 12.3456 | + | 23.4058i | 0.592606 | + | 1.12352i | ||||
\(435\) | 4.04150 | − | 12.7794i | 0.193775 | − | 0.612724i | ||||
\(436\) | 6.08031 | − | 10.5314i | 0.291194 | − | 0.504362i | ||||
\(437\) | −6.18014 | + | 23.0646i | −0.295636 | + | 1.10333i | ||||
\(438\) | 3.53363 | − | 13.1877i | 0.168844 | − | 0.630133i | ||||
\(439\) | 2.62203 | − | 4.54150i | 0.125143 | − | 0.216754i | −0.796646 | − | 0.604446i | \(-0.793394\pi\) |
0.921789 | + | 0.387692i | \(0.126728\pi\) | |||||||
\(440\) | 1.77020 | − | 5.59742i | 0.0843909 | − | 0.266847i | ||||
\(441\) | 3.02675 | + | 6.31180i | 0.144131 | + | 0.300562i | ||||
\(442\) | −9.22560 | + | 9.22560i | −0.438817 | + | 0.438817i | ||||
\(443\) | −1.25609 | + | 0.336567i | −0.0596784 | + | 0.0159908i | −0.288535 | − | 0.957469i | \(-0.593168\pi\) |
0.228856 | + | 0.973460i | \(0.426501\pi\) | |||||||
\(444\) | 1.97878 | + | 3.42734i | 0.0939087 | + | 0.162655i | ||||
\(445\) | −0.195538 | + | 0.306347i | −0.00926940 | + | 0.0145222i | ||||
\(446\) | −13.1822 | − | 7.61073i | −0.624194 | − | 0.360378i | ||||
\(447\) | 3.36452 | + | 3.36452i | 0.159136 | + | 0.159136i | ||||
\(448\) | −0.781940 | + | 2.52756i | −0.0369432 | + | 0.119416i | ||||
\(449\) | 22.3625i | 1.05535i | 0.849445 | + | 0.527676i | \(0.176937\pi\) | ||||
−0.849445 | + | 0.527676i | \(0.823063\pi\) | |||||||
\(450\) | 1.71825 | − | 4.69549i | 0.0809989 | − | 0.221348i | ||||
\(451\) | −12.7196 | + | 7.34366i | −0.598942 | + | 0.345799i | ||||
\(452\) | −2.23858 | − | 0.599825i | −0.105294 | − | 0.0282134i | ||||
\(453\) | 0.556756 | + | 2.07784i | 0.0261587 | + | 0.0976255i | ||||
\(454\) | −3.73858 | −0.175460 | ||||||||
\(455\) | 9.22104 | − | 4.35090i | 0.432289 | − | 0.203973i | ||||
\(456\) | 4.65232 | 0.217865 | ||||||||
\(457\) | 0.853971 | + | 3.18706i | 0.0399471 | + | 0.149085i | 0.983019 | − | 0.183505i | \(-0.0587443\pi\) |
−0.943072 | + | 0.332589i | \(0.892078\pi\) | |||||||
\(458\) | −14.6644 | − | 3.92933i | −0.685225 | − | 0.183605i | ||||
\(459\) | −6.55610 | + | 3.78517i | −0.306013 | + | 0.176676i | ||||
\(460\) | −8.46825 | + | 7.74622i | −0.394834 | + | 0.361169i | ||||
\(461\) | − | 6.97417i | − | 0.324819i | −0.986723 | − | 0.162410i | \(-0.948073\pi\) | ||
0.986723 | − | 0.162410i | \(-0.0519266\pi\) | |||||||
\(462\) | 6.77339 | − | 1.54009i | 0.315127 | − | 0.0716513i | ||||
\(463\) | 16.6658 | + | 16.6658i | 0.774527 | + | 0.774527i | 0.978894 | − | 0.204367i | \(-0.0655136\pi\) |
−0.204367 | + | 0.978894i | \(0.565514\pi\) | |||||||
\(464\) | 5.19104 | + | 2.99705i | 0.240988 | + | 0.139135i | ||||
\(465\) | 21.8387 | − | 4.82165i | 1.01274 | − | 0.223599i | ||||
\(466\) | −0.606518 | − | 1.05052i | −0.0280964 | − | 0.0486644i | ||||
\(467\) | −11.0696 | + | 2.96609i | −0.512240 | + | 0.137254i | −0.505675 | − | 0.862724i | \(-0.668756\pi\) |
−0.00656516 | + | 0.999978i | \(0.502090\pi\) | |||||||
\(468\) | −1.21865 | + | 1.21865i | −0.0563322 | + | 0.0563322i | ||||
\(469\) | 5.73959 | + | 3.61305i | 0.265030 | + | 0.166835i | ||||
\(470\) | 6.53489 | + | 12.5800i | 0.301432 | + | 0.580273i | ||||
\(471\) | −1.90217 | + | 3.29465i | −0.0876473 | + | 0.151810i | ||||
\(472\) | 1.99819 | − | 7.45736i | 0.0919744 | − | 0.343253i | ||||
\(473\) | −0.524436 | + | 1.95722i | −0.0241136 | + | 0.0899932i | ||||
\(474\) | −4.49744 | + | 7.78980i | −0.206574 | + | 0.357797i | ||||
\(475\) | −13.3753 | + | 19.0316i | −0.613702 | + | 0.873231i | ||||
\(476\) | −0.765475 | + | 20.0146i | −0.0350855 | + | 0.917367i | ||||
\(477\) | −6.06671 | + | 6.06671i | −0.277776 | + | 0.277776i | ||||
\(478\) | −15.6087 | + | 4.18234i | −0.713926 | + | 0.191296i | ||||
\(479\) | −5.05860 | − | 8.76174i | −0.231133 | − | 0.400334i | 0.727009 | − | 0.686628i | \(-0.240910\pi\) |
−0.958142 | + | 0.286294i | \(0.907577\pi\) | |||||||
\(480\) | 1.88484 | + | 1.20307i | 0.0860307 | + | 0.0549125i | ||||
\(481\) | 5.90680 | + | 3.41029i | 0.269327 | + | 0.155496i | ||||
\(482\) | 17.8310 | + | 17.8310i | 0.812180 | + | 0.812180i | ||||
\(483\) | −12.9728 | − | 4.01334i | −0.590284 | − | 0.182614i | ||||
\(484\) | 4.10705i | 0.186684i | ||||||||
\(485\) | −9.29050 | − | 10.1565i | −0.421860 | − | 0.461182i | ||||
\(486\) | −0.866025 | + | 0.500000i | −0.0392837 | + | 0.0226805i | ||||
\(487\) | 35.6908 | + | 9.56331i | 1.61730 | + | 0.433355i | 0.950208 | − | 0.311617i | \(-0.100871\pi\) |
0.667095 | + | 0.744972i | \(0.267537\pi\) | |||||||
\(488\) | 1.24487 | + | 4.64593i | 0.0563528 | + | 0.210311i | ||||
\(489\) | 4.46126 | 0.201745 | ||||||||
\(490\) | 5.84583 | − | 14.5199i | 0.264088 | − | 0.655940i | ||||
\(491\) | −8.00737 | −0.361368 | −0.180684 | − | 0.983541i | \(-0.557831\pi\) | ||||
−0.180684 | + | 0.983541i | \(0.557831\pi\) | |||||||
\(492\) | −1.44789 | − | 5.40361i | −0.0652760 | − | 0.243613i | ||||
\(493\) | 43.8311 | + | 11.7445i | 1.97405 | + | 0.528946i | ||||
\(494\) | 6.94376 | − | 4.00898i | 0.312415 | − | 0.180373i | ||||
\(495\) | 0.261160 | − | 5.86486i | 0.0117383 | − | 0.263606i | ||||
\(496\) | 10.0018i | 0.449092i | ||||||||
\(497\) | −21.1550 | − | 6.54463i | −0.948932 | − | 0.293567i | ||||
\(498\) | −7.99504 | − | 7.99504i | −0.358266 | − | 0.358266i | ||||
\(499\) | −10.3636 | − | 5.98341i | −0.463937 | − | 0.267854i | 0.249761 | − | 0.968307i | \(-0.419648\pi\) |
−0.713698 | + | 0.700453i | \(0.752981\pi\) | |||||||
\(500\) | −10.3404 | + | 4.25165i | −0.462436 | + | 0.190140i | ||||
\(501\) | −11.4076 | − | 19.7585i | −0.509652 | − | 0.882744i | ||||
\(502\) | −2.00487 | + | 0.537203i | −0.0894816 | + | 0.0239765i | ||||
\(503\) | −20.3121 | + | 20.3121i | −0.905670 | + | 0.905670i | −0.995919 | − | 0.0902493i | \(-0.971234\pi\) |
0.0902493 | + | 0.995919i | \(0.471234\pi\) | |||||||
\(504\) | −0.101115 | + | 2.64382i | −0.00450403 | + | 0.117765i | ||||
\(505\) | −15.2276 | + | 7.91019i | −0.677617 | + | 0.351999i | ||||
\(506\) | −6.73760 | + | 11.6699i | −0.299523 | + | 0.518789i | ||||
\(507\) | 2.59590 | − | 9.68802i | 0.115288 | − | 0.430260i | ||||
\(508\) | −2.48759 | + | 9.28381i | −0.110369 | + | 0.411902i | ||||
\(509\) | −14.7797 | + | 25.5992i | −0.655098 | + | 1.13466i | 0.326771 | + | 0.945103i | \(0.394039\pi\) |
−0.981869 | + | 0.189559i | \(0.939294\pi\) | |||||||
\(510\) | 16.1399 | + | 5.10428i | 0.714686 | + | 0.226021i | ||||
\(511\) | −30.5696 | − | 19.2435i | −1.35232 | − | 0.851281i | ||||
\(512\) | −0.707107 | + | 0.707107i | −0.0312500 | + | 0.0312500i | ||||
\(513\) | 4.49380 | − | 1.20411i | 0.198406 | − | 0.0531627i | ||||
\(514\) | −2.25111 | − | 3.89904i | −0.0992922 | − | 0.171979i | ||||
\(515\) | −1.96107 | − | 8.88224i | −0.0864150 | − | 0.391398i | ||||
\(516\) | −0.668382 | − | 0.385890i | −0.0294239 | − | 0.0169879i | ||||
\(517\) | 11.7695 | + | 11.7695i | 0.517624 | + | 0.517624i | ||||
\(518\) | 10.2101 | − | 2.32151i | 0.448607 | − | 0.102001i | ||||
\(519\) | 12.3822i | 0.543520i | ||||||||
\(520\) | 3.84990 | + | 0.171435i | 0.168829 | + | 0.00751791i | ||||
\(521\) | −7.64664 | + | 4.41479i | −0.335005 | + | 0.193415i | −0.658061 | − | 0.752964i | \(-0.728623\pi\) |
0.323056 | + | 0.946380i | \(0.395290\pi\) | |||||||
\(522\) | 5.78985 | + | 1.55139i | 0.253415 | + | 0.0679024i | ||||
\(523\) | 10.6856 | + | 39.8792i | 0.467249 | + | 1.74380i | 0.649325 | + | 0.760511i | \(0.275052\pi\) |
−0.182076 | + | 0.983284i | \(0.558282\pi\) | |||||||
\(524\) | 4.23598 | 0.185050 | ||||||||
\(525\) | −10.5246 | − | 8.01456i | −0.459330 | − | 0.349784i | ||||
\(526\) | −22.3996 | −0.976669 | ||||||||
\(527\) | 19.5969 | + | 73.1366i | 0.853654 | + | 3.18588i | ||||
\(528\) | 2.53598 | + | 0.679515i | 0.110365 | + | 0.0295721i | ||||
\(529\) | 2.89515 | − | 1.67152i | 0.125876 | − | 0.0726746i | ||||
\(530\) | 19.1656 | + | 0.853439i | 0.832502 | + | 0.0370710i | ||||
\(531\) | − | 7.72043i | − | 0.335038i | ||||||
\(532\) | 3.63784 | − | 11.7590i | 0.157720 | − | 0.509818i | ||||
\(533\) | −6.81741 | − | 6.81741i | −0.295295 | − | 0.295295i | ||||
\(534\) | −0.140757 | − | 0.0812661i | −0.00609115 | − | 0.00351673i | ||||
\(535\) | −1.35806 | − | 6.15103i | −0.0587139 | − | 0.265932i | ||||
\(536\) | 1.28170 | + | 2.21997i | 0.0553610 | + | 0.0958880i | ||||
\(537\) | 19.5794 | − | 5.24628i | 0.844913 | − | 0.226394i | ||||
\(538\) | 8.29027 | − | 8.29027i | 0.357419 | − | 0.357419i | ||||
\(539\) | 1.40372 | − | 18.3244i | 0.0604625 | − | 0.789288i | ||||
\(540\) | 2.13199 | + | 0.674247i | 0.0917463 | + | 0.0290150i | ||||
\(541\) | 12.7674 | − | 22.1137i | 0.548911 | − | 0.950742i | −0.449438 | − | 0.893311i | \(-0.648376\pi\) |
0.998349 | − | 0.0574309i | \(-0.0182909\pi\) | |||||||
\(542\) | 6.22384 | − | 23.2277i | 0.267337 | − | 0.997714i | ||||
\(543\) | 1.94797 | − | 7.26992i | 0.0835953 | − | 0.311982i | ||||
\(544\) | −3.78517 | + | 6.55610i | −0.162288 | + | 0.281090i | ||||
\(545\) | −24.1304 | + | 12.5349i | −1.03363 | + | 0.536937i | ||||
\(546\) | 2.12731 | + | 4.03313i | 0.0910403 | + | 0.172602i | ||||
\(547\) | 22.6183 | − | 22.6183i | 0.967087 | − | 0.967087i | −0.0323883 | − | 0.999475i | \(-0.510311\pi\) |
0.999475 | + | 0.0323883i | \(0.0103113\pi\) | |||||||
\(548\) | −7.98108 | + | 2.13852i | −0.340935 | + | 0.0913532i | ||||
\(549\) | 2.40491 | + | 4.16543i | 0.102639 | + | 0.177776i | ||||
\(550\) | −10.0706 | + | 8.42056i | −0.429414 | + | 0.359054i | ||||
\(551\) | −24.1504 | − | 13.9432i | −1.02884 | − | 0.594002i | ||||
\(552\) | −3.62926 | − | 3.62926i | −0.154471 | − | 0.154471i | ||||
\(553\) | 16.1725 | + | 17.4587i | 0.687723 | + | 0.742420i | ||||
\(554\) | − | 27.1973i | − | 1.15550i | ||||||
\(555\) | 0.393669 | − | 8.84060i | 0.0167103 | − | 0.375263i | ||||
\(556\) | −8.09784 | + | 4.67529i | −0.343425 | + | 0.198277i | ||||
\(557\) | 16.9420 | + | 4.53960i | 0.717856 | + | 0.192349i | 0.599215 | − | 0.800588i | \(-0.295480\pi\) |
0.118641 | + | 0.992937i | \(0.462146\pi\) | |||||||
\(558\) | 2.58864 | + | 9.66095i | 0.109586 | + | 0.408981i | ||||
\(559\) | −1.33011 | −0.0562578 | ||||||||
\(560\) | 4.51467 | − | 3.82331i | 0.190780 | − | 0.161565i | ||||
\(561\) | 19.8755 | 0.839143 | ||||||||
\(562\) | −5.74352 | − | 21.4351i | −0.242276 | − | 0.904186i | ||||
\(563\) | 15.0854 | + | 4.04211i | 0.635772 | + | 0.170355i | 0.562288 | − | 0.826942i | \(-0.309921\pi\) |
0.0734847 | + | 0.997296i | \(0.476588\pi\) | |||||||
\(564\) | −5.49038 | + | 3.16987i | −0.231187 | + | 0.133476i | ||||
\(565\) | 3.49772 | + | 3.82374i | 0.147150 | + | 0.160866i | ||||
\(566\) | − | 11.1028i | − | 0.466684i | ||||||
\(567\) | 0.586601 | + | 2.57990i | 0.0246349 | + | 0.108346i | ||||
\(568\) | −5.91829 | − | 5.91829i | −0.248326 | − | 0.248326i | ||||
\(569\) | 15.5107 | + | 8.95511i | 0.650243 | + | 0.375418i | 0.788549 | − | 0.614972i | \(-0.210833\pi\) |
−0.138307 | + | 0.990389i | \(0.544166\pi\) | |||||||
\(570\) | −8.76887 | − | 5.59708i | −0.367288 | − | 0.234436i | ||||
\(571\) | 10.2340 | + | 17.7258i | 0.428278 | + | 0.741800i | 0.996720 | − | 0.0809234i | \(-0.0257869\pi\) |
−0.568442 | + | 0.822723i | \(0.692454\pi\) | |||||||
\(572\) | 4.37060 | − | 1.17110i | 0.182744 | − | 0.0489661i | ||||
\(573\) | 3.06028 | − | 3.06028i | 0.127845 | − | 0.127845i | ||||
\(574\) | −14.7901 | − | 0.565661i | −0.617327 | − | 0.0236102i | ||||
\(575\) | 25.2805 | − | 4.41246i | 1.05427 | − | 0.184012i | ||||
\(576\) | −0.500000 | + | 0.866025i | −0.0208333 | + | 0.0360844i | ||||
\(577\) | 6.62634 | − | 24.7298i | 0.275858 | − | 1.02952i | −0.679406 | − | 0.733763i | \(-0.737762\pi\) |
0.955264 | − | 0.295754i | \(-0.0955708\pi\) | |||||||
\(578\) | −10.4330 | + | 38.9364i | −0.433955 | + | 1.61954i | ||||
\(579\) | −10.6340 | + | 18.4187i | −0.441935 | + | 0.765455i | ||||
\(580\) | −6.17860 | − | 11.8942i | −0.256553 | − | 0.493878i | ||||
\(581\) | −26.4596 | + | 13.9563i | −1.09773 | + | 0.579006i | ||||
\(582\) | 4.35278 | − | 4.35278i | 0.180429 | − | 0.180429i | ||||
\(583\) | 21.7578 | − | 5.82998i | 0.901116 | − | 0.241453i | ||||
\(584\) | −6.82646 | − | 11.8238i | −0.282481 | − | 0.489271i | ||||
\(585\) | 3.76309 | − | 0.830834i | 0.155585 | − | 0.0343508i | ||||
\(586\) | −7.98019 | − | 4.60737i | −0.329659 | − | 0.190329i | ||||
\(587\) | −26.2627 | − | 26.2627i | −1.08398 | − | 1.08398i | −0.996134 | − | 0.0878438i | \(-0.972002\pi\) |
−0.0878438 | − | 0.996134i | \(-0.527998\pi\) | |||||||
\(588\) | 6.60335 | + | 2.32288i | 0.272318 | + | 0.0957941i | ||||
\(589\) | − | 46.5313i | − | 1.91729i | ||||||
\(590\) | −12.7380 | + | 11.6520i | −0.524416 | + | 0.479703i | ||||
\(591\) | 17.3073 | − | 9.99238i | 0.711927 | − | 0.411032i | ||||
\(592\) | 3.82271 | + | 1.02429i | 0.157112 | + | 0.0420981i | ||||
\(593\) | −2.49114 | − | 9.29705i | −0.102299 | − | 0.381784i | 0.895726 | − | 0.444606i | \(-0.146656\pi\) |
−0.998025 | + | 0.0628225i | \(0.979990\pi\) | |||||||
\(594\) | 2.62544 | 0.107723 | ||||||||
\(595\) | 25.5218 | − | 36.8033i | 1.04629 | − | 1.50879i | ||||
\(596\) | 4.75815 | 0.194902 | ||||||||
\(597\) | −0.218461 | − | 0.815308i | −0.00894102 | − | 0.0333683i | ||||
\(598\) | −8.54420 | − | 2.28941i | −0.349398 | − | 0.0936210i | ||||
\(599\) | 3.36700 | − | 1.94394i | 0.137572 | − | 0.0794273i | −0.429634 | − | 0.903003i | \(-0.641358\pi\) |
0.567206 | + | 0.823576i | \(0.308024\pi\) | |||||||
\(600\) | −2.10523 | − | 4.53520i | −0.0859457 | − | 0.185149i | ||||
\(601\) | 36.4068i | 1.48506i | 0.669811 | + | 0.742531i | \(0.266375\pi\) | ||||
−0.669811 | + | 0.742531i | \(0.733625\pi\) | |||||||
\(602\) | −1.49800 | + | 1.38763i | −0.0610538 | + | 0.0565557i | ||||
\(603\) | 1.81260 | + | 1.81260i | 0.0738146 | + | 0.0738146i | ||||
\(604\) | 1.86294 | + | 1.07557i | 0.0758020 | + | 0.0437643i | ||||
\(605\) | 4.94108 | − | 7.74112i | 0.200883 | − | 0.314721i | ||||
\(606\) | −3.83699 | − | 6.64586i | −0.155867 | − | 0.269969i | ||||
\(607\) | 6.68399 | − | 1.79097i | 0.271295 | − | 0.0726932i | −0.120607 | − | 0.992700i | \(-0.538484\pi\) |
0.391902 | + | 0.920007i | \(0.371817\pi\) | |||||||
\(608\) | 3.28969 | − | 3.28969i | 0.133414 | − | 0.133414i | ||||
\(609\) | 8.44855 | − | 13.4211i | 0.342352 | − | 0.543851i | ||||
\(610\) | 3.24301 | − | 10.2545i | 0.131306 | − | 0.415193i | ||||
\(611\) | −5.46307 | + | 9.46231i | −0.221012 | + | 0.382804i | ||||
\(612\) | −1.95935 | + | 7.31238i | −0.0792019 | + | 0.295585i | ||||
\(613\) | 11.5346 | − | 43.0478i | 0.465880 | − | 1.73869i | −0.188077 | − | 0.982154i | \(-0.560225\pi\) |
0.653957 | − | 0.756532i | \(-0.273108\pi\) | |||||||
\(614\) | −14.5671 | + | 25.2310i | −0.587881 | + | 1.01824i | ||||
\(615\) | −3.77189 | + | 11.9268i | −0.152097 | + | 0.480937i | ||||
\(616\) | 3.70050 | − | 5.87851i | 0.149098 | − | 0.236852i | ||||
\(617\) | 8.27627 | − | 8.27627i | 0.333190 | − | 0.333190i | −0.520607 | − | 0.853797i | \(-0.674294\pi\) |
0.853797 | + | 0.520607i | \(0.174294\pi\) | |||||||
\(618\) | 3.92931 | − | 1.05286i | 0.158060 | − | 0.0423521i | ||||
\(619\) | −5.79761 | − | 10.0418i | −0.233026 | − | 0.403612i | 0.725671 | − | 0.688042i | \(-0.241529\pi\) |
−0.958697 | + | 0.284429i | \(0.908196\pi\) | |||||||
\(620\) | 12.0328 | − | 18.8517i | 0.483250 | − | 0.757102i | ||||
\(621\) | −4.44492 | − | 2.56627i | −0.178368 | − | 0.102981i | ||||
\(622\) | −23.2400 | − | 23.2400i | −0.931840 | − | 0.931840i | ||||
\(623\) | −0.315469 | + | 0.292227i | −0.0126390 | + | 0.0117078i | ||||
\(624\) | 1.72343i | 0.0689926i | ||||||||
\(625\) | 24.6050 | + | 4.42656i | 0.984200 | + | 0.177062i | ||||
\(626\) | −19.2111 | + | 11.0915i | −0.767831 | + | 0.443307i | ||||
\(627\) | −11.7982 | − | 3.16132i | −0.471175 | − | 0.126251i | ||||
\(628\) | 0.984635 | + | 3.67471i | 0.0392912 | + | 0.146637i | ||||
\(629\) | 29.9600 | 1.19458 | ||||||||
\(630\) | 3.37129 | − | 4.86152i | 0.134316 | − | 0.193688i | ||||
\(631\) | 2.25813 | 0.0898949 | 0.0449474 | − | 0.998989i | \(-0.485688\pi\) | ||||
0.0449474 | + | 0.998989i | \(0.485688\pi\) | |||||||
\(632\) | 2.32805 | + | 8.68839i | 0.0926047 | + | 0.345606i | ||||
\(633\) | −21.4285 | − | 5.74175i | −0.851706 | − | 0.228214i | ||||
\(634\) | −12.4400 | + | 7.18226i | −0.494057 | + | 0.285244i | ||||
\(635\) | 15.8578 | − | 14.5057i | 0.629298 | − | 0.575642i | ||||
\(636\) | 8.57963i | 0.340204i | ||||||||
\(637\) | 11.8574 | − | 2.22323i | 0.469808 | − | 0.0880875i | ||||
\(638\) | −11.1279 | − | 11.1279i | −0.440556 | − | 0.440556i | ||||
\(639\) | −7.24840 | − | 4.18486i | −0.286742 | − | 0.165551i | ||||
\(640\) | 2.18348 | − | 0.482081i | 0.0863097 | − | 0.0190559i | ||||
\(641\) | −9.61246 | − | 16.6493i | −0.379669 | − | 0.657607i | 0.611345 | − | 0.791364i | \(-0.290629\pi\) |
−0.991014 | + | 0.133758i | \(0.957296\pi\) | |||||||
\(642\) | 2.72108 | − | 0.729112i | 0.107393 | − | 0.0287757i | ||||
\(643\) | 15.5634 | − | 15.5634i | 0.613760 | − | 0.613760i | −0.330163 | − | 0.943924i | \(-0.607104\pi\) |
0.943924 | + | 0.330163i | \(0.107104\pi\) | |||||||
\(644\) | −12.0110 | + | 6.33531i | −0.473301 | + | 0.249646i | ||||
\(645\) | 0.795537 | + | 1.53145i | 0.0313242 | + | 0.0603009i | ||||
\(646\) | 17.6098 | − | 30.5011i | 0.692848 | − | 1.20005i | ||||
\(647\) | −2.55828 | + | 9.54764i | −0.100577 | + | 0.375357i | −0.997806 | − | 0.0662082i | \(-0.978910\pi\) |
0.897229 | + | 0.441565i | \(0.145577\pi\) | |||||||
\(648\) | −0.258819 | + | 0.965926i | −0.0101674 | + | 0.0379452i | ||||
\(649\) | −10.1348 | + | 17.5539i | −0.397825 | + | 0.689053i | ||||
\(650\) | −7.05019 | − | 4.95484i | −0.276531 | − | 0.194345i | ||||
\(651\) | 26.4428 | + | 1.01133i | 1.03638 | + | 0.0396371i | ||||
\(652\) | 3.15459 | − | 3.15459i | 0.123543 | − | 0.123543i | ||||
\(653\) | 9.61337 | − | 2.57589i | 0.376200 | − | 0.100803i | −0.0657640 | − | 0.997835i | \(-0.520948\pi\) |
0.441964 | + | 0.897033i | \(0.354282\pi\) | |||||||
\(654\) | −6.08031 | − | 10.5314i | −0.237759 | − | 0.411810i | ||||
\(655\) | −7.98413 | − | 5.09619i | −0.311966 | − | 0.199125i | ||||
\(656\) | −4.84474 | − | 2.79711i | −0.189155 | − | 0.109209i | ||||
\(657\) | −9.65407 | − | 9.65407i | −0.376641 | − | 0.376641i | ||||
\(658\) | 3.71890 | + | 16.3559i | 0.144978 | + | 0.637620i | ||||
\(659\) | − | 16.2333i | − | 0.632360i | −0.948699 | − | 0.316180i | \(-0.897600\pi\) | ||
0.948699 | − | 0.316180i | \(-0.102400\pi\) | |||||||
\(660\) | −3.96241 | − | 4.33175i | −0.154237 | − | 0.168613i | ||||
\(661\) | −8.77097 | + | 5.06392i | −0.341151 | + | 0.196964i | −0.660781 | − | 0.750579i | \(-0.729775\pi\) |
0.319630 | + | 0.947543i | \(0.396441\pi\) | |||||||
\(662\) | −2.79217 | − | 0.748160i | −0.108521 | − | 0.0290780i | ||||
\(663\) | 3.37680 | + | 12.6024i | 0.131144 | + | 0.489437i | ||||
\(664\) | −11.3067 | −0.438785 | ||||||||
\(665\) | −21.0037 | + | 17.7873i | −0.814489 | + | 0.689761i | ||||
\(666\) | 3.95756 | 0.153352 | ||||||||
\(667\) | 7.96256 | + | 29.7167i | 0.308312 | + | 1.15064i | ||||
\(668\) | −22.0377 | − | 5.90499i | −0.852665 | − | 0.228471i | ||||
\(669\) | −13.1822 | + | 7.61073i | −0.509652 | + | 0.294248i | ||||
\(670\) | 0.254988 | − | 5.72626i | 0.00985105 | − | 0.221225i | ||||
\(671\) | − | 12.6279i | − | 0.487495i | ||||||
\(672\) | 1.79796 | + | 1.94096i | 0.0693579 | + | 0.0748742i | ||||
\(673\) | 15.2038 | + | 15.2038i | 0.586062 | + | 0.586062i | 0.936563 | − | 0.350501i | \(-0.113989\pi\) |
−0.350501 | + | 0.936563i | \(0.613989\pi\) | |||||||
\(674\) | 28.7145 | + | 16.5783i | 1.10604 | + | 0.638574i | ||||
\(675\) | −3.20729 | − | 3.83579i | −0.123449 | − | 0.147640i | ||||
\(676\) | −5.01489 | − | 8.68604i | −0.192880 | − | 0.334078i | ||||
\(677\) | 11.6492 | − | 3.12140i | 0.447716 | − | 0.119965i | −0.0279145 | − | 0.999610i | \(-0.508887\pi\) |
0.475630 | + | 0.879645i | \(0.342220\pi\) | |||||||
\(678\) | −1.63875 | + | 1.63875i | −0.0629359 | + | 0.0629359i | ||||
\(679\) | −7.59832 | − | 14.4056i | −0.291597 | − | 0.552834i | ||||
\(680\) | 15.0219 | − | 7.80336i | 0.576063 | − | 0.299245i | ||||
\(681\) | −1.86929 | + | 3.23770i | −0.0716313 | + | 0.124069i | ||||
\(682\) | 6.79634 | − | 25.3643i | 0.260245 | − | 0.971248i | ||||
\(683\) | 3.03256 | − | 11.3177i | 0.116038 | − | 0.433058i | −0.883325 | − | 0.468761i | \(-0.844700\pi\) |
0.999362 | + | 0.0357033i | \(0.0113671\pi\) | |||||||
\(684\) | 2.32616 | − | 4.02903i | 0.0889429 | − | 0.154054i | ||||
\(685\) | 17.6158 | + | 5.57105i | 0.673067 | + | 0.212859i | ||||
\(686\) | 11.0347 | − | 14.8740i | 0.421305 | − | 0.567893i | ||||
\(687\) | −10.7351 | + | 10.7351i | −0.409570 | + | 0.409570i | ||||
\(688\) | −0.745483 | + | 0.199752i | −0.0284213 | + | 0.00761546i | ||||
\(689\) | 7.39321 | + | 12.8054i | 0.281659 | + | 0.487848i | ||||
\(690\) | 2.47430 | + | 11.2068i | 0.0941951 | + | 0.426637i | ||||
\(691\) | −24.8579 | − | 14.3517i | −0.945639 | − | 0.545965i | −0.0539153 | − | 0.998546i | \(-0.517170\pi\) |
−0.891723 | + | 0.452581i | \(0.850503\pi\) | |||||||
\(692\) | 8.75557 | + | 8.75557i | 0.332837 | + | 0.332837i | ||||
\(693\) | 2.05294 | − | 6.63597i | 0.0779847 | − | 0.252080i | ||||
\(694\) | − | 11.3379i | − | 0.430382i | ||||||
\(695\) | 20.8878 | + | 0.930128i | 0.792321 | + | 0.0352818i | ||||
\(696\) | 5.19104 | − | 2.99705i | 0.196766 | − | 0.113603i | ||||
\(697\) | −40.9071 | − | 10.9610i | −1.54947 | − | 0.415178i | ||||
\(698\) | −1.76200 | − | 6.57589i | −0.0666929 | − | 0.248901i | ||||
\(699\) | −1.21304 | −0.0458812 | ||||||||
\(700\) | −13.1092 | + | 1.77485i | −0.495479 | + | 0.0670829i | ||||
\(701\) | 47.8761 | 1.80825 | 0.904127 | − | 0.427264i | \(-0.140523\pi\) | ||||
0.904127 | + | 0.427264i | \(0.140523\pi\) | |||||||
\(702\) | 0.446058 | + | 1.66471i | 0.0168354 | + | 0.0628304i | ||||
\(703\) | −17.7844 | − | 4.76533i | −0.670753 | − | 0.179728i | ||||
\(704\) | 2.27370 | − | 1.31272i | 0.0856933 | − | 0.0494751i | ||||
\(705\) | 14.1621 | + | 0.630632i | 0.533374 | + | 0.0237510i | ||||
\(706\) | 27.8246i | 1.04719i | ||||||||
\(707\) | −19.7981 | + | 4.50156i | −0.744585 | + | 0.169299i | ||||
\(708\) | −5.45917 | − | 5.45917i | −0.205168 | − | 0.205168i | ||||
\(709\) | −22.0830 | − | 12.7496i | −0.829343 | − | 0.478822i | 0.0242844 | − | 0.999705i | \(-0.492269\pi\) |
−0.853628 | + | 0.520883i | \(0.825603\pi\) | |||||||
\(710\) | 4.03488 | + | 18.2752i | 0.151427 | + | 0.685854i | ||||
\(711\) | 4.49744 | + | 7.78980i | 0.168667 | + | 0.292140i | ||||
\(712\) | −0.156994 | + | 0.0420664i | −0.00588360 | + | 0.00157651i | ||||
\(713\) | −36.2989 | + | 36.2989i | −1.35941 | + | 1.35941i | ||||
\(714\) | 16.9504 | + | 10.6702i | 0.634353 | + | 0.399323i | ||||
\(715\) | −9.64679 | − | 3.05082i | −0.360770 | − | 0.114094i | ||||
\(716\) | 10.1350 | − | 17.5544i | 0.378764 | − | 0.656038i | ||||
\(717\) | −4.18234 | + | 15.6087i | −0.156192 | + | 0.582918i | ||||
\(718\) | −3.55579 | + | 13.2704i | −0.132701 | + | 0.495247i | ||||
\(719\) | −16.0438 | + | 27.7887i | −0.598333 | + | 1.03634i | 0.394734 | + | 0.918795i | \(0.370837\pi\) |
−0.993067 | + | 0.117548i | \(0.962497\pi\) | |||||||
\(720\) | 1.98431 | − | 1.03078i | 0.0739509 | − | 0.0384149i | ||||
\(721\) | 0.411329 | − | 10.7549i | 0.0153187 | − | 0.400532i | ||||
\(722\) | −1.86964 | + | 1.86964i | −0.0695809 | + | 0.0695809i | ||||
\(723\) | 24.3576 | − | 6.52660i | 0.905869 | − | 0.242727i | ||||
\(724\) | −3.76319 | − | 6.51803i | −0.139858 | − | 0.242241i | ||||
\(725\) | −2.66387 | + | 29.8519i | −0.0989336 | + | 1.10867i | ||||
\(726\) | 3.55681 | + | 2.05352i | 0.132006 | + | 0.0762134i | ||||
\(727\) | 11.3772 | + | 11.3772i | 0.421956 | + | 0.421956i | 0.885877 | − | 0.463921i | \(-0.153558\pi\) |
−0.463921 | + | 0.885877i | \(0.653558\pi\) | |||||||
\(728\) | 4.35609 | + | 1.34762i | 0.161447 | + | 0.0499462i | ||||
\(729\) | 1.00000i | 0.0370370i | ||||||||
\(730\) | −1.35809 | + | 30.4986i | −0.0502652 | + | 1.12880i | ||||
\(731\) | −5.05987 | + | 2.92132i | −0.187146 | + | 0.108049i | ||||
\(732\) | 4.64593 | + | 1.24487i | 0.171719 | + | 0.0460119i | ||||
\(733\) | 5.43607 | + | 20.2877i | 0.200786 | + | 0.749343i | 0.990693 | + | 0.136116i | \(0.0434620\pi\) |
−0.789907 | + | 0.613226i | \(0.789871\pi\) | |||||||
\(734\) | −25.2180 | −0.930812 | ||||||||
\(735\) | −9.65165 | − | 12.3226i | −0.356006 | − | 0.454525i | ||||
\(736\) | −5.13255 | −0.189188 | ||||||||
\(737\) | −1.74187 | − | 6.50073i | −0.0641625 | − | 0.239458i | ||||
\(738\) | −5.40361 | − | 1.44789i | −0.198910 | − | 0.0532976i | ||||
\(739\) | 31.8347 | − | 18.3797i | 1.17106 | − | 0.676110i | 0.217128 | − | 0.976143i | \(-0.430331\pi\) |
0.953929 | + | 0.300033i | \(0.0969977\pi\) | |||||||
\(740\) | −5.97289 | − | 6.52962i | −0.219568 | − | 0.240033i | ||||
\(741\) | − | 8.01797i | − | 0.294547i | ||||||
\(742\) | 21.6855 | + | 6.70876i | 0.796101 | + | 0.246286i | ||||
\(743\) | −17.1637 | − | 17.1637i | −0.629676 | − | 0.629676i | 0.318310 | − | 0.947987i | \(-0.396885\pi\) |
−0.947987 | + | 0.318310i | \(0.896885\pi\) | |||||||
\(744\) | 8.66177 | + | 5.00088i | 0.317556 | + | 0.183341i | ||||
\(745\) | −8.96835 | − | 5.72441i | −0.328575 | − | 0.209726i | ||||
\(746\) | 13.4271 | + | 23.2564i | 0.491600 | + | 0.851477i | ||||
\(747\) | −10.9214 | + | 2.92639i | −0.399594 | + | 0.107071i | ||||
\(748\) | 14.0541 | − | 14.0541i | 0.513868 | − | 0.513868i | ||||
\(749\) | 0.284849 | − | 7.44782i | 0.0104081 | − | 0.272138i | ||||
\(750\) | −1.48815 | + | 11.0809i | −0.0543397 | + | 0.404616i | ||||
\(751\) | −15.1318 | + | 26.2091i | −0.552168 | + | 0.956384i | 0.445949 | + | 0.895058i | \(0.352866\pi\) |
−0.998118 | + | 0.0613255i | \(0.980467\pi\) | |||||||
\(752\) | −1.64085 | + | 6.12372i | −0.0598355 | + | 0.223309i | ||||
\(753\) | −0.537203 | + | 2.00487i | −0.0195768 | + | 0.0730615i | ||||
\(754\) | 5.16522 | − | 8.94642i | 0.188106 | − | 0.325809i | ||||
\(755\) | −2.21735 | − | 4.26853i | −0.0806978 | − | 0.155348i | ||||
\(756\) | 2.23906 | + | 1.40948i | 0.0814337 | + | 0.0512622i | ||||
\(757\) | −1.48321 | + | 1.48321i | −0.0539082 | + | 0.0539082i | −0.733547 | − | 0.679639i | \(-0.762137\pi\) |
0.679639 | + | 0.733547i | \(0.262137\pi\) | |||||||
\(758\) | 3.39988 | − | 0.910996i | 0.123489 | − | 0.0330889i | ||||
\(759\) | 6.73760 | + | 11.6699i | 0.244560 | + | 0.423590i | ||||
\(760\) | −10.1583 | + | 2.24279i | −0.368479 | + | 0.0813547i | ||||
\(761\) | 5.99246 | + | 3.45975i | 0.217226 | + | 0.125416i | 0.604665 | − | 0.796480i | \(-0.293307\pi\) |
−0.387439 | + | 0.921895i | \(0.626640\pi\) | |||||||
\(762\) | 6.79622 | + | 6.79622i | 0.246201 | + | 0.246201i | ||||
\(763\) | −31.3732 | + | 7.13342i | −1.13579 | + | 0.258247i | ||||
\(764\) | − | 4.32789i | − | 0.156578i | ||||||
\(765\) | 12.4904 | − | 11.4254i | 0.451591 | − | 0.413087i | ||||
\(766\) | 7.76221 | − | 4.48151i | 0.280460 | − | 0.161924i | ||||
\(767\) | −12.8523 | − | 3.44376i | −0.464069 | − | 0.124347i | ||||
\(768\) | 0.258819 | + | 0.965926i | 0.00933933 | + | 0.0348548i | ||||
\(769\) | 16.5757 | 0.597736 | 0.298868 | − | 0.954294i | \(-0.403391\pi\) | ||||
0.298868 | + | 0.954294i | \(0.403391\pi\) | |||||||
\(770\) | −14.0471 | + | 6.62807i | −0.506224 | + | 0.238859i | ||||
\(771\) | −4.50222 | −0.162143 | ||||||||
\(772\) | 5.50458 | + | 20.5434i | 0.198114 | + | 0.739372i | ||||
\(773\) | −6.48331 | − | 1.73720i | −0.233189 | − | 0.0624827i | 0.140332 | − | 0.990104i | \(-0.455183\pi\) |
−0.373521 | + | 0.927622i | \(0.621850\pi\) | |||||||
\(774\) | −0.668382 | + | 0.385890i | −0.0240245 | + | 0.0138705i | ||||
\(775\) | −45.3599 | + | 21.0560i | −1.62938 | + | 0.756354i | ||||
\(776\) | − | 6.15577i | − | 0.220979i | ||||||
\(777\) | 3.09457 | − | 10.0030i | 0.111017 | − | 0.358854i | ||||
\(778\) | 22.3001 | + | 22.3001i | 0.799497 | + | 0.799497i | ||||
\(779\) | 22.5393 | + | 13.0131i | 0.807554 | + | 0.466241i | ||||
\(780\) | 2.07342 | − | 3.24839i | 0.0742402 | − | 0.116311i | ||||
\(781\) | 10.9871 | + | 19.0303i | 0.393150 | + | 0.680956i | ||||
\(782\) | −37.5311 | + | 10.0564i | −1.34211 | + | 0.359617i | ||||
\(783\) | 4.23847 | − | 4.23847i | 0.151470 | − | 0.151470i | ||||
\(784\) | 6.31180 | − | 3.02675i | 0.225421 | − | 0.108098i | ||||
\(785\) | 2.56506 | − | 8.11082i | 0.0915511 | − | 0.289488i | ||||
\(786\) | 2.11799 | − | 3.66846i | 0.0755461 | − | 0.130850i | ||||
\(787\) | 3.88207 | − | 14.4881i | 0.138381 | − | 0.516444i | −0.861580 | − | 0.507621i | \(-0.830525\pi\) |
0.999961 | − | 0.00882263i | \(-0.00280837\pi\) | |||||||
\(788\) | 5.17244 | − | 19.3038i | 0.184260 | − | 0.687669i | ||||
\(789\) | −11.1998 | + | 19.3986i | −0.398723 | + | 0.690609i | ||||
\(790\) | 6.06478 | − | 19.1770i | 0.215775 | − | 0.682288i | ||||
\(791\) | 2.86064 | + | 5.42345i | 0.101713 | + | 0.192836i | ||||
\(792\) | 1.85647 | − | 1.85647i | 0.0659667 | − | 0.0659667i | ||||
\(793\) | 8.00696 | − | 2.14546i | 0.284335 | − | 0.0761874i | ||||
\(794\) | 3.10923 | + | 5.38534i | 0.110342 | + | 0.191118i | ||||
\(795\) | 10.3219 | − | 16.1712i | 0.366081 | − | 0.573534i | ||||
\(796\) | −0.730985 | − | 0.422034i | −0.0259091 | − | 0.0149586i | ||||
\(797\) | −29.9616 | − | 29.9616i | −1.06130 | − | 1.06130i | −0.997994 | − | 0.0633012i | \(-0.979837\pi\) |
−0.0633012 | − | 0.997994i | \(-0.520163\pi\) | |||||||
\(798\) | −8.36470 | − | 9.02997i | −0.296107 | − | 0.319658i | ||||
\(799\) | 47.9940i | 1.69790i | ||||||||
\(800\) | −4.69549 | − | 1.71825i | −0.166011 | − | 0.0607491i | ||||
\(801\) | −0.140757 | + | 0.0812661i | −0.00497341 | + | 0.00287140i | ||||
\(802\) | −19.8151 | − | 5.30943i | −0.699694 | − | 0.187482i | ||||
\(803\) | 9.27735 | + | 34.6236i | 0.327391 | + | 1.22184i | ||||
\(804\) | 2.56340 | 0.0904041 | ||||||||
\(805\) | 30.2607 | + | 2.50912i | 1.06655 | + | 0.0884348i | ||||
\(806\) | 17.2374 | 0.607160 | ||||||||
\(807\) | −3.03445 | − | 11.3247i | −0.106818 | − | 0.398649i | ||||
\(808\) | −7.41249 | − | 1.98617i | −0.260771 | − | 0.0698732i | ||||
\(809\) | 7.51129 | − | 4.33664i | 0.264083 | − | 0.152468i | −0.362113 | − | 0.932134i | \(-0.617944\pi\) |
0.626196 | + | 0.779666i | \(0.284611\pi\) | |||||||
\(810\) | 1.64991 | − | 1.50924i | 0.0579720 | − | 0.0530291i | ||||
\(811\) | 21.4366i | 0.752741i | 0.926469 | + | 0.376370i | \(0.122828\pi\) | ||||
−0.926469 | + | 0.376370i | \(0.877172\pi\) | |||||||
\(812\) | −3.51614 | − | 15.4642i | −0.123392 | − | 0.542687i | ||||
\(813\) | −17.0038 | − | 17.0038i | −0.596351 | − | 0.596351i | ||||
\(814\) | −8.99830 | − | 5.19517i | −0.315390 | − | 0.182091i | ||||
\(815\) | −9.74108 | + | 2.15069i | −0.341215 | + | 0.0753353i | ||||
\(816\) | 3.78517 | + | 6.55610i | 0.132507 | + | 0.229509i | ||||
\(817\) | 3.46822 | − | 0.929308i | 0.121338 | − | 0.0325124i | ||||
\(818\) | 18.1381 | − | 18.1381i | 0.634184 | − | 0.634184i | ||||
\(819\) | 4.55645 | + | 0.174265i | 0.159215 | + | 0.00608932i | ||||
\(820\) | 5.76642 | + | 11.1007i | 0.201372 | + | 0.387653i | ||||
\(821\) | −9.59996 | + | 16.6276i | −0.335041 | + | 0.580308i | −0.983493 | − | 0.180948i | \(-0.942084\pi\) |
0.648452 | + | 0.761256i | \(0.275417\pi\) | |||||||
\(822\) | −2.13852 | + | 7.98108i | −0.0745896 | + | 0.278372i | ||||
\(823\) | 2.61193 | − | 9.74786i | 0.0910462 | − | 0.339789i | −0.905344 | − | 0.424679i | \(-0.860387\pi\) |
0.996390 | + | 0.0848897i | \(0.0270538\pi\) | |||||||
\(824\) | 2.03396 | − | 3.52293i | 0.0708564 | − | 0.122727i | ||||
\(825\) | 2.25710 | + | 12.9317i | 0.0785820 | + | 0.450225i | ||||
\(826\) | −18.0671 | + | 9.52964i | −0.628636 | + | 0.331579i | ||||
\(827\) | −2.93550 | + | 2.93550i | −0.102077 | + | 0.102077i | −0.756301 | − | 0.654224i | \(-0.772995\pi\) |
0.654224 | + | 0.756301i | \(0.272995\pi\) | |||||||
\(828\) | −4.95766 | + | 1.32840i | −0.172291 | + | 0.0461651i | ||||
\(829\) | 0.316112 | + | 0.547523i | 0.0109790 | + | 0.0190162i | 0.871463 | − | 0.490462i | \(-0.163172\pi\) |
−0.860484 | + | 0.509478i | \(0.829839\pi\) | |||||||
\(830\) | 21.3113 | + | 13.6028i | 0.739726 | + | 0.472160i | ||||
\(831\) | −23.5535 | − | 13.5986i | −0.817062 | − | 0.471731i | ||||
\(832\) | 1.21865 | + | 1.21865i | 0.0422492 | + | 0.0422492i | ||||
\(833\) | 40.2238 | − | 34.4997i | 1.39367 | − | 1.19534i | ||||
\(834\) | 9.35059i | 0.323784i | ||||||||
\(835\) | 34.4334 | + | 37.6429i | 1.19162 | + | 1.30269i | ||||
\(836\) | −10.5780 | + | 6.10720i | −0.365847 | + | 0.211222i | ||||
\(837\) | 9.66095 | + | 2.58864i | 0.333931 | + | 0.0894766i | ||||
\(838\) | −0.398960 | − | 1.48894i | −0.0137818 | − | 0.0514345i | ||||
\(839\) | −7.93406 | −0.273914 | −0.136957 | − | 0.990577i | \(-0.543732\pi\) | ||||
−0.136957 | + | 0.990577i | \(0.543732\pi\) | |||||||
\(840\) | −1.05375 | − | 5.82148i | −0.0363579 | − | 0.200860i | ||||
\(841\) | −6.92921 | −0.238938 | ||||||||
\(842\) | 5.19839 | + | 19.4006i | 0.179148 | + | 0.668590i | ||||
\(843\) | −21.4351 | − | 5.74352i | −0.738265 | − | 0.197817i | ||||
\(844\) | −19.2123 | + | 11.0922i | −0.661313 | + | 0.381809i | ||||
\(845\) | −0.997689 | + | 22.4051i | −0.0343215 | + | 0.770757i | ||||
\(846\) | 6.33974i | 0.217965i | ||||||||
\(847\) | 7.97162 | − | 7.38432i | 0.273908 | − | 0.253728i | ||||
\(848\) | 6.06671 | + | 6.06671i | 0.208332 | + | 0.208332i | ||||
\(849\) | −9.61527 | − | 5.55138i | −0.329995 | − | 0.190523i | ||||
\(850\) | −37.7018 | − | 3.36437i | −1.29316 | − | 0.115397i | ||||
\(851\) | 10.1562 | + | 17.5910i | 0.348149 | + | 0.603012i | ||||
\(852\) | −8.08453 | + | 2.16624i | −0.276972 | + | 0.0742143i | ||||
\(853\) | −13.0203 | + | 13.0203i | −0.445806 | + | 0.445806i | −0.893957 | − | 0.448152i | \(-0.852082\pi\) |
0.448152 | + | 0.893957i | \(0.352082\pi\) | |||||||
\(854\) | 6.77934 | − | 10.7695i | 0.231984 | − | 0.368523i | ||||
\(855\) | −9.23165 | + | 4.79552i | −0.315716 | + | 0.164003i | ||||
\(856\) | 1.40854 | − | 2.43966i | 0.0481428 | − | 0.0833857i | ||||
\(857\) | −2.95372 | + | 11.0234i | −0.100897 | + | 0.376553i | −0.997847 | − | 0.0655783i | \(-0.979111\pi\) |
0.896950 | + | 0.442131i | \(0.145777\pi\) | |||||||
\(858\) | 1.17110 | − | 4.37060i | 0.0399807 | − | 0.149210i | ||||
\(859\) | −6.44883 | + | 11.1697i | −0.220031 | + | 0.381106i | −0.954817 | − | 0.297194i | \(-0.903949\pi\) |
0.734786 | + | 0.678299i | \(0.237283\pi\) | |||||||
\(860\) | 1.64543 | + | 0.520371i | 0.0561087 | + | 0.0177445i | ||||
\(861\) | −7.88493 | + | 12.5258i | −0.268718 | + | 0.426878i | ||||
\(862\) | −15.4861 | + | 15.4861i | −0.527457 | + | 0.527457i | ||||
\(863\) | 12.2574 | − | 3.28437i | 0.417248 | − | 0.111801i | −0.0440862 | − | 0.999028i | \(-0.514038\pi\) |
0.461334 | + | 0.887226i | \(0.347371\pi\) | |||||||
\(864\) | 0.500000 | + | 0.866025i | 0.0170103 | + | 0.0294628i | ||||
\(865\) | −5.96924 | − | 27.0364i | −0.202960 | − | 0.919266i | ||||
\(866\) | 6.75549 | + | 3.90028i | 0.229561 | + | 0.132537i | ||||
\(867\) | 28.5034 | + | 28.5034i | 0.968027 | + | 0.968027i | ||||
\(868\) | 19.4130 | − | 17.9828i | 0.658921 | − | 0.610375i | ||||
\(869\) | − | 23.6156i | − | 0.801103i | ||||||
\(870\) | −13.3899 | − | 0.596249i | −0.453962 | − | 0.0202147i | ||||
\(871\) | 3.82597 | − | 2.20892i | 0.129638 | − | 0.0748465i | ||||
\(872\) | −11.7462 | − | 3.14740i | −0.397778 | − | 0.106584i | ||||
\(873\) | −1.59323 | − | 5.94601i | −0.0539227 | − | 0.201242i | ||||
\(874\) | 23.8782 | 0.807694 | ||||||||
\(875\) | 26.8439 | + | 12.4260i | 0.907490 | + | 0.420074i | ||||
\(876\) | −13.6529 | −0.461289 | ||||||||
\(877\) | −6.75617 | − | 25.2144i | −0.228140 | − | 0.851429i | −0.981122 | − | 0.193388i | \(-0.938052\pi\) |
0.752983 | − | 0.658040i | \(-0.228614\pi\) | |||||||
\(878\) | −5.06538 | − | 1.35726i | −0.170948 | − | 0.0458055i | ||||
\(879\) | −7.98019 | + | 4.60737i | −0.269165 | + | 0.155403i | ||||
\(880\) | −5.86486 | − | 0.261160i | −0.197704 | − | 0.00880370i | ||||
\(881\) | − | 34.2689i | − | 1.15455i | −0.816551 | − | 0.577274i | \(-0.804116\pi\) | ||
0.816551 | − | 0.577274i | \(-0.195884\pi\) | |||||||
\(882\) | 5.31335 | − | 4.55723i | 0.178910 | − | 0.153450i | ||||
\(883\) | −33.0880 | − | 33.0880i | −1.11350 | − | 1.11350i | −0.992674 | − | 0.120827i | \(-0.961445\pi\) |
−0.120827 | − | 0.992674i | \(-0.538555\pi\) | |||||||
\(884\) | 11.2990 | + | 6.52348i | 0.380027 | + | 0.219409i | ||||
\(885\) | 3.72187 | + | 16.8574i | 0.125109 | + | 0.566656i | ||||
\(886\) | 0.650198 | + | 1.12618i | 0.0218438 | + | 0.0378346i | ||||
\(887\) | −18.3463 | + | 4.91587i | −0.616008 | + | 0.165059i | −0.553312 | − | 0.832974i | \(-0.686636\pi\) |
−0.0626958 | + | 0.998033i | \(0.519970\pi\) | |||||||
\(888\) | 2.79841 | − | 2.79841i | 0.0939087 | − | 0.0939087i | ||||
\(889\) | 22.4921 | − | 11.8636i | 0.754361 | − | 0.397893i | ||||
\(890\) | 0.346518 | + | 0.109587i | 0.0116153 | + | 0.00367336i | ||||
\(891\) | 1.31272 | − | 2.27370i | 0.0439778 | − | 0.0761718i | ||||
\(892\) | −3.93960 | + | 14.7028i | −0.131908 | + | 0.492286i | ||||
\(893\) | 7.63374 | − | 28.4895i | 0.255453 | − | 0.953365i | ||||
\(894\) | 2.37908 | − | 4.12068i | 0.0795682 | − | 0.137816i | ||||
\(895\) | −40.2221 | + | 20.8940i | −1.34448 | + | 0.698410i | ||||
\(896\) | 2.64382 | + | 0.101115i | 0.0883238 | + | 0.00337802i | ||||
\(897\) | −6.25479 | + | 6.25479i | −0.208841 | + | 0.208841i | ||||
\(898\) | 21.6005 | − | 5.78785i | 0.720819 | − | 0.193143i | ||||
\(899\) | −29.9757 | − | 51.9195i | −0.999747 | − | 1.73161i | ||||
\(900\) | −4.98021 | − | 0.444415i | −0.166007 | − | 0.0148138i | ||||
\(901\) | 56.2489 | + | 32.4753i | 1.87392 | + | 1.08191i | ||||
\(902\) | 10.3855 | + | 10.3855i | 0.345799 | + | 0.345799i | ||||
\(903\) | 0.452727 | + | 1.99112i | 0.0150658 | + | 0.0662603i | ||||
\(904\) | 2.31755i | 0.0770804i | ||||||||
\(905\) | −0.748669 | + | 16.8128i | −0.0248866 | + | 0.558877i | ||||
\(906\) | 1.86294 | − | 1.07557i | 0.0618921 | − | 0.0357334i | ||||
\(907\) | −54.6185 | − | 14.6350i | −1.81358 | − | 0.485947i | −0.817620 | − | 0.575759i | \(-0.804707\pi\) |
−0.995959 | + | 0.0898120i | \(0.971373\pi\) | |||||||
\(908\) | 0.967615 | + | 3.61119i | 0.0321114 | + | 0.119842i | ||||
\(909\) | −7.67397 | −0.254530 | ||||||||
\(910\) | −6.58923 | − | 7.78074i | −0.218431 | − | 0.257929i | ||||
\(911\) | −18.6286 | −0.617193 | −0.308596 | − | 0.951193i | \(-0.599859\pi\) | ||||
−0.308596 | + | 0.951193i | \(0.599859\pi\) | |||||||
\(912\) | −1.20411 | − | 4.49380i | −0.0398720 | − | 0.148804i | ||||
\(913\) | 28.6736 | + | 7.68307i | 0.948958 | + | 0.254272i | ||||
\(914\) | 2.85744 | − | 1.64975i | 0.0945158 | − | 0.0545687i | ||||
\(915\) | −7.25916 | − | 7.93578i | −0.239980 | − | 0.262349i | ||||
\(916\) | 15.1818i | 0.501619i | ||||||||
\(917\) | −7.61613 | − | 8.22187i | −0.251507 | − | 0.271510i | ||||
\(918\) | 5.35303 | + | 5.35303i | 0.176676 | + | 0.176676i | ||||
\(919\) | −38.3850 | − | 22.1616i | −1.26620 | − | 0.731043i | −0.291936 | − | 0.956438i | \(-0.594300\pi\) |
−0.974268 | + | 0.225395i | \(0.927633\pi\) | |||||||
\(920\) | 9.67402 | + | 6.17483i | 0.318943 | + | 0.203578i | ||||
\(921\) | 14.5671 | + | 25.2310i | 0.480002 | + | 0.831389i | ||||
\(922\) | −6.73653 | + | 1.80505i | −0.221856 | + | 0.0594461i | ||||
\(923\) | −10.1998 | + | 10.1998i | −0.335730 | + | 0.335730i | ||||
\(924\) | −3.24069 | − | 6.14399i | −0.106611 | − | 0.202122i | ||||
\(925\) | 3.40232 | + | 19.4931i | 0.111867 | + | 0.640929i | ||||
\(926\) | 11.7845 | − | 20.4114i | 0.387264 | − | 0.670760i | ||||
\(927\) | 1.05286 | − | 3.92931i | 0.0345803 | − | 0.129056i | ||||
\(928\) | 1.55139 | − | 5.78985i | 0.0509268 | − | 0.190061i | ||||
\(929\) | 7.02379 | − | 12.1656i | 0.230443 | − | 0.399139i | −0.727496 | − | 0.686112i | \(-0.759316\pi\) |
0.957939 | + | 0.286973i | \(0.0926491\pi\) | |||||||
\(930\) | −10.3096 | − | 19.8466i | −0.338066 | − | 0.650795i | ||||
\(931\) | −29.3645 | + | 14.0814i | −0.962383 | + | 0.461499i | ||||
\(932\) | −0.857745 | + | 0.857745i | −0.0280964 | + | 0.0280964i | ||||
\(933\) | −31.7464 | + | 8.50643i | −1.03933 | + | 0.278488i | ||||
\(934\) | 5.73005 | + | 9.92473i | 0.187493 | + | 0.324747i | ||||
\(935\) | −43.3978 | + | 9.58159i | −1.41926 | + | 0.313351i | ||||
\(936\) | 1.49254 | + | 0.861717i | 0.0487851 | + | 0.0281661i | ||||
\(937\) | 24.1561 | + | 24.1561i | 0.789145 | + | 0.789145i | 0.981354 | − | 0.192209i | \(-0.0615652\pi\) |
−0.192209 | + | 0.981354i | \(0.561565\pi\) | |||||||
\(938\) | 2.00442 | − | 6.47915i | 0.0654468 | − | 0.211552i | ||||
\(939\) | 22.1831i | 0.723918i | ||||||||
\(940\) | 10.4600 | − | 9.56817i | 0.341168 | − | 0.312079i | ||||
\(941\) | 45.3271 | − | 26.1696i | 1.47762 | − | 0.853106i | 0.477942 | − | 0.878391i | \(-0.341383\pi\) |
0.999680 | + | 0.0252856i | \(0.00804953\pi\) | |||||||
\(942\) | 3.67471 | + | 0.984635i | 0.119728 | + | 0.0320811i | ||||
\(943\) | −7.43137 | − | 27.7343i | −0.241999 | − | 0.903152i | ||||
\(944\) | −7.72043 | −0.251279 | ||||||||
\(945\) | −2.52455 | − | 5.35039i | −0.0821238 | − | 0.174048i | ||||
\(946\) | 2.02627 | 0.0658796 | ||||||||
\(947\) | −10.0914 | − | 37.6614i | −0.327925 | − | 1.22383i | −0.911339 | − | 0.411657i | \(-0.864950\pi\) |
0.583414 | − | 0.812175i | \(-0.301717\pi\) | |||||||
\(948\) | 8.68839 | + | 2.32805i | 0.282186 | + | 0.0756115i | ||||
\(949\) | −20.3775 | + | 11.7649i | −0.661481 | + | 0.381906i | ||||
\(950\) | 21.8449 | + | 7.99383i | 0.708743 | + | 0.259354i | ||||
\(951\) | 14.3645i | 0.465801i | ||||||||
\(952\) | 19.5307 | − | 4.44076i | 0.632994 | − | 0.143926i | ||||
\(953\) | 1.45944 | + | 1.45944i | 0.0472759 | + | 0.0472759i | 0.730350 | − | 0.683074i | \(-0.239357\pi\) |
−0.683074 | + | 0.730350i | \(0.739357\pi\) | |||||||
\(954\) | 7.43018 | + | 4.28981i | 0.240561 | + | 0.138888i | ||||
\(955\) | −5.20677 | + | 8.15738i | −0.168487 | + | 0.263967i | ||||
\(956\) | 8.07967 | + | 13.9944i | 0.261315 | + | 0.452611i | ||||
\(957\) | −15.2009 | + | 4.07308i | −0.491376 | + | 0.131664i | ||||
\(958\) | −7.15393 | + | 7.15393i | −0.231133 | + | 0.231133i | ||||
\(959\) | 18.5005 | + | 11.6460i | 0.597412 | + | 0.376068i | ||||
\(960\) | 0.674247 | − | 2.13199i | 0.0217612 | − | 0.0688098i | ||||
\(961\) | 34.5175 | − | 59.7861i | 1.11347 | − | 1.92858i | ||||
\(962\) | 1.76530 | − | 6.58818i | 0.0569155 | − | 0.212411i | ||||
\(963\) | 0.729112 | − | 2.72108i | 0.0234953 | − | 0.0876856i | ||||
\(964\) | 12.6084 | − | 21.8384i | 0.406090 | − | 0.703369i | ||||
\(965\) | 14.3399 | − | 45.3434i | 0.461619 | − | 1.45965i | ||||
\(966\) | −0.518978 | + | 13.5695i | −0.0166978 | + | 0.436592i | ||||
\(967\) | 11.2656 | − | 11.2656i | 0.362279 | − | 0.362279i | −0.502373 | − | 0.864651i | \(-0.667539\pi\) |
0.864651 | + | 0.502373i | \(0.167539\pi\) | |||||||
\(968\) | 3.96710 | − | 1.06298i | 0.127508 | − | 0.0341655i | ||||
\(969\) | −17.6098 | − | 30.5011i | −0.565708 | − | 0.979836i | ||||
\(970\) | −7.40584 | + | 11.6026i | −0.237787 | + | 0.372538i | ||||
\(971\) | −8.48873 | − | 4.90097i | −0.272416 | − | 0.157280i | 0.357569 | − | 0.933887i | \(-0.383606\pi\) |
−0.629985 | + | 0.776607i | \(0.716939\pi\) | |||||||
\(972\) | 0.707107 | + | 0.707107i | 0.0226805 | + | 0.0226805i | ||||
\(973\) | 23.6342 | + | 7.31160i | 0.757677 | + | 0.234399i | ||||
\(974\) | − | 36.9498i | − | 1.18395i | ||||||
\(975\) | −7.81611 | + | 3.62823i | −0.250316 | + | 0.116196i | ||||
\(976\) | 4.16543 | − | 2.40491i | 0.133332 | − | 0.0769793i | ||||
\(977\) | 47.6370 | + | 12.7643i | 1.52404 | + | 0.408366i | 0.921071 | − | 0.389395i | \(-0.127316\pi\) |
0.602973 | + | 0.797762i | \(0.293983\pi\) | |||||||
\(978\) | −1.15466 | − | 4.30925i | −0.0369219 | − | 0.137794i | ||||
\(979\) | 0.426719 | 0.0136380 | ||||||||
\(980\) | −15.5381 | − | 1.88863i | −0.496347 | − | 0.0603300i | ||||
\(981\) | −12.1606 | −0.388258 | ||||||||
\(982\) | 2.07246 | + | 7.73453i | 0.0661349 | + | 0.246819i | ||||
\(983\) | −5.77152 | − | 1.54648i | −0.184083 | − | 0.0493249i | 0.165600 | − | 0.986193i | \(-0.447044\pi\) |
−0.349683 | + | 0.936868i | \(0.613711\pi\) | |||||||
\(984\) | −4.84474 | + | 2.79711i | −0.154445 | + | 0.0891687i | ||||
\(985\) | −32.9731 | + | 30.1617i | −1.05061 | + | 0.961032i | ||||
\(986\) | − | 45.3773i | − | 1.44511i | ||||||
\(987\) | 16.0241 | + | 4.95730i | 0.510053 | + | 0.157793i | ||||
\(988\) | −5.66956 | − | 5.66956i | −0.180373 | − | 0.180373i | ||||
\(989\) | −3.43050 | − | 1.98060i | −0.109084 | − | 0.0629794i | ||||
\(990\) | −5.73261 | + | 1.26568i | −0.182194 | + | 0.0402258i | ||||
\(991\) | −6.52086 | − | 11.2945i | −0.207142 | − | 0.358780i | 0.743671 | − | 0.668546i | \(-0.233083\pi\) |
−0.950813 | + | 0.309765i | \(0.899749\pi\) | |||||||
\(992\) | 9.66095 | − | 2.58864i | 0.306736 | − | 0.0821895i | ||||
\(993\) | −2.04401 | + | 2.04401i | −0.0648647 | + | 0.0648647i | ||||
\(994\) | −0.846306 | + | 22.1280i | −0.0268432 | + | 0.701859i | ||||
\(995\) | 0.870050 | + | 1.67490i | 0.0275824 | + | 0.0530977i | ||||
\(996\) | −5.65335 | + | 9.79189i | −0.179133 | + | 0.310268i | ||||
\(997\) | 5.49854 | − | 20.5208i | 0.174141 | − | 0.649901i | −0.822556 | − | 0.568684i | \(-0.807453\pi\) |
0.996696 | − | 0.0812171i | \(-0.0258807\pi\) | |||||||
\(998\) | −3.09724 | + | 11.5591i | −0.0980414 | + | 0.365896i | ||||
\(999\) | 1.97878 | − | 3.42734i | 0.0626058 | − | 0.108436i |
(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 | 210.2.u.a.103.2 | ✓ | 16 | |
3.2 | odd | 2 | 630.2.bv.a.523.3 | 16 | |||
5.2 | odd | 4 | 210.2.u.b.187.3 | yes | 16 | ||
5.3 | odd | 4 | 1050.2.bc.g.607.1 | 16 | |||
5.4 | even | 2 | 1050.2.bc.h.943.3 | 16 | |||
7.2 | even | 3 | 1470.2.m.d.1273.2 | 16 | |||
7.3 | odd | 6 | 210.2.u.b.73.3 | yes | 16 | ||
7.5 | odd | 6 | 1470.2.m.e.1273.3 | 16 | |||
15.2 | even | 4 | 630.2.bv.b.397.2 | 16 | |||
21.17 | even | 6 | 630.2.bv.b.73.2 | 16 | |||
35.2 | odd | 12 | 1470.2.m.e.97.3 | 16 | |||
35.3 | even | 12 | 1050.2.bc.h.157.3 | 16 | |||
35.12 | even | 12 | 1470.2.m.d.97.2 | 16 | |||
35.17 | even | 12 | inner | 210.2.u.a.157.2 | yes | 16 | |
35.24 | odd | 6 | 1050.2.bc.g.493.1 | 16 | |||
105.17 | odd | 12 | 630.2.bv.a.577.3 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
210.2.u.a.103.2 | ✓ | 16 | 1.1 | even | 1 | trivial | |
210.2.u.a.157.2 | yes | 16 | 35.17 | even | 12 | inner | |
210.2.u.b.73.3 | yes | 16 | 7.3 | odd | 6 | ||
210.2.u.b.187.3 | yes | 16 | 5.2 | odd | 4 | ||
630.2.bv.a.523.3 | 16 | 3.2 | odd | 2 | |||
630.2.bv.a.577.3 | 16 | 105.17 | odd | 12 | |||
630.2.bv.b.73.2 | 16 | 21.17 | even | 6 | |||
630.2.bv.b.397.2 | 16 | 15.2 | even | 4 | |||
1050.2.bc.g.493.1 | 16 | 35.24 | odd | 6 | |||
1050.2.bc.g.607.1 | 16 | 5.3 | odd | 4 | |||
1050.2.bc.h.157.3 | 16 | 35.3 | even | 12 | |||
1050.2.bc.h.943.3 | 16 | 5.4 | even | 2 | |||
1470.2.m.d.97.2 | 16 | 35.12 | even | 12 | |||
1470.2.m.d.1273.2 | 16 | 7.2 | even | 3 | |||
1470.2.m.e.97.3 | 16 | 35.2 | odd | 12 | |||
1470.2.m.e.1273.3 | 16 | 7.5 | odd | 6 |