Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [864,2,Mod(97,864)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(864, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("864.97");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 864 = 2^{5} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 864.y (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.89907473464\) |
Analytic rank: | \(0\) |
Dimension: | \(60\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 193.6 | ||
Character | \(\chi\) | \(=\) | 864.193 |
Dual form | 864.2.y.d.385.6 |
$q$-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 \(\left(\mathbb{Z}/864\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(353\) | \(703\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{9}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 0.141380 | − | 1.72627i | 0.0816256 | − | 0.996663i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 0.298268 | − | 1.69156i | 0.133389 | − | 0.756489i | −0.842578 | − | 0.538574i | \(-0.818963\pi\) |
0.975968 | − | 0.217915i | \(-0.0699255\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.0848018 | − | 0.0711572i | 0.0320521 | − | 0.0268949i | −0.626621 | − | 0.779324i | \(-0.715563\pi\) |
0.658673 | + | 0.752429i | \(0.271118\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −2.96002 | − | 0.488119i | −0.986675 | − | 0.162706i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −0.107979 | − | 0.612378i | −0.0325568 | − | 0.184639i | 0.964193 | − | 0.265203i | \(-0.0854390\pi\) |
−0.996749 | + | 0.0805640i | \(0.974328\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 4.44975 | − | 1.61957i | 1.23414 | − | 0.449189i | 0.359125 | − | 0.933290i | \(-0.383075\pi\) |
0.875013 | + | 0.484100i | \(0.160853\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −2.87792 | − | 0.754043i | −0.743076 | − | 0.194693i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 0.373528 | − | 0.646970i | 0.0905939 | − | 0.156913i | −0.817167 | − | 0.576401i | \(-0.804457\pi\) |
0.907761 | + | 0.419487i | \(0.137790\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.50580 | − | 2.60813i | −0.345455 | − | 0.598345i | 0.639982 | − | 0.768390i | \(-0.278942\pi\) |
−0.985436 | + | 0.170045i | \(0.945609\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −0.110847 | − | 0.156451i | −0.0241889 | − | 0.0341404i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −5.03088 | − | 4.22141i | −1.04901 | − | 0.880225i | −0.0560217 | − | 0.998430i | \(-0.517842\pi\) |
−0.992989 | + | 0.118205i | \(0.962286\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.92605 | + | 0.701026i | 0.385210 | + | 0.140205i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −1.26111 | + | 5.04079i | −0.242701 | + | 0.970101i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −0.518433 | − | 0.188694i | −0.0962705 | − | 0.0350396i | 0.293436 | − | 0.955979i | \(-0.405201\pi\) |
−0.389706 | + | 0.920939i | \(0.627424\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −6.23218 | − | 5.22942i | −1.11933 | − | 0.939232i | −0.120762 | − | 0.992681i | \(-0.538534\pi\) |
−0.998571 | + | 0.0534499i | \(0.982978\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −1.07240 | + | 0.0998228i | −0.186680 | + | 0.0173769i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −0.0950730 | − | 0.164671i | −0.0160703 | − | 0.0278345i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 1.23214 | − | 2.13412i | 0.202562 | − | 0.350848i | −0.746791 | − | 0.665058i | \(-0.768407\pi\) |
0.949353 | + | 0.314211i | \(0.101740\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −2.16672 | − | 7.91044i | −0.346953 | − | 1.26668i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −3.38996 | + | 1.23385i | −0.529424 | + | 0.192694i | −0.592881 | − | 0.805290i | \(-0.702010\pi\) |
0.0634574 | + | 0.997985i | \(0.479787\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 1.06938 | + | 6.06474i | 0.163079 | + | 0.924864i | 0.951023 | + | 0.309119i | \(0.100034\pi\) |
−0.787945 | + | 0.615746i | \(0.788855\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −1.70856 | + | 4.86147i | −0.254697 | + | 0.724705i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −1.70861 | + | 1.43370i | −0.249227 | + | 0.209126i | −0.758839 | − | 0.651278i | \(-0.774233\pi\) |
0.509612 | + | 0.860404i | \(0.329789\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −1.21341 | + | 6.88159i | −0.173344 | + | 0.983084i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −1.06404 | − | 0.736279i | −0.148995 | − | 0.103100i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −1.81090 | −0.248746 | −0.124373 | − | 0.992236i | \(-0.539692\pi\) | ||||
−0.124373 | + | 0.992236i | \(0.539692\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −1.06808 | −0.144020 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −4.71522 | + | 2.23069i | −0.624547 | + | 0.295462i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −1.00265 | + | 5.68630i | −0.130534 | + | 0.740294i | 0.847333 | + | 0.531063i | \(0.178207\pi\) |
−0.977866 | + | 0.209231i | \(0.932904\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 5.68347 | − | 4.76900i | 0.727694 | − | 0.610607i | −0.201808 | − | 0.979425i | \(-0.564682\pi\) |
0.929502 | + | 0.368818i | \(0.120237\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −0.285749 | + | 0.169234i | −0.0360009 | + | 0.0213214i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −1.41239 | − | 8.01008i | −0.175186 | − | 0.993528i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 2.65969 | − | 0.968049i | 0.324933 | − | 0.118266i | −0.174403 | − | 0.984674i | \(-0.555800\pi\) |
0.499336 | + | 0.866408i | \(0.333577\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −7.99856 | + | 8.08784i | −0.962914 | + | 0.973662i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 5.81993 | − | 10.0804i | 0.690699 | − | 1.19633i | −0.280910 | − | 0.959734i | \(-0.590636\pi\) |
0.971609 | − | 0.236592i | \(-0.0760303\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 4.32111 | + | 7.48439i | 0.505748 | + | 0.875982i | 0.999978 | + | 0.00665026i | \(0.00211686\pi\) |
−0.494230 | + | 0.869331i | \(0.664550\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 1.48246 | − | 3.22578i | 0.171180 | − | 0.372481i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −0.0527319 | − | 0.0442473i | −0.00600936 | − | 0.00504245i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −3.14112 | − | 1.14327i | −0.353404 | − | 0.128628i | 0.159217 | − | 0.987244i | \(-0.449103\pi\) |
−0.512621 | + | 0.858615i | \(0.671325\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 8.52348 | + | 2.88969i | 0.947053 | + | 0.321077i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −9.62391 | − | 3.50282i | −1.05636 | − | 0.384484i | −0.245301 | − | 0.969447i | \(-0.578887\pi\) |
−0.811060 | + | 0.584963i | \(0.801109\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.982977 | − | 0.824816i | −0.106619 | − | 0.0894638i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −0.399033 | + | 0.868278i | −0.0427808 | + | 0.0930892i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −7.11921 | − | 12.3308i | −0.754635 | − | 1.30707i | −0.945556 | − | 0.325461i | \(-0.894481\pi\) |
0.190921 | − | 0.981605i | \(-0.438853\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.262102 | − | 0.453974i | 0.0274758 | − | 0.0475894i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −9.90850 | + | 10.0191i | −1.02746 | + | 1.03893i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −4.86093 | + | 1.76924i | −0.498721 | + | 0.181520i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 2.11406 | + | 11.9895i | 0.214651 | + | 1.21734i | 0.881512 | + | 0.472162i | \(0.156526\pi\) |
−0.666861 | + | 0.745182i | \(0.732363\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0.0207061 | + | 1.86536i | 0.00208104 | + | 0.187476i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 3.58086 | − | 3.00470i | 0.356309 | − | 0.298979i | −0.447009 | − | 0.894530i | \(-0.647511\pi\) |
0.803318 | + | 0.595551i | \(0.203066\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 3.29738 | − | 18.7004i | 0.324900 | − | 1.84260i | −0.185474 | − | 0.982649i | \(-0.559382\pi\) |
0.510375 | − | 0.859952i | \(-0.329507\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −0.297709 | + | 0.140841i | −0.0290534 | + | 0.0137446i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 14.2347 | 1.37612 | 0.688059 | − | 0.725655i | \(-0.258463\pi\) | ||||
0.688059 | + | 0.725655i | \(0.258463\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 9.50622 | 0.910530 | 0.455265 | − | 0.890356i | \(-0.349544\pi\) | ||||
0.455265 | + | 0.890356i | \(0.349544\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −3.50987 | − | 2.42872i | −0.333143 | − | 0.230524i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 3.33882 | − | 18.9354i | 0.314090 | − | 1.78129i | −0.263187 | − | 0.964745i | \(-0.584774\pi\) |
0.577277 | − | 0.816548i | \(-0.304115\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −8.64132 | + | 7.25092i | −0.805807 | + | 0.676152i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −13.9619 | + | 2.62197i | −1.29078 | + | 0.242401i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −0.0143607 | − | 0.0814434i | −0.00131644 | − | 0.00746591i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 9.97327 | − | 3.62997i | 0.906661 | − | 0.329998i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 1.65068 | + | 6.02644i | 0.148837 | + | 0.543386i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 6.05444 | − | 10.4866i | 0.541526 | − | 0.937950i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 9.06851 | + | 15.7071i | 0.804700 | + | 1.39378i | 0.916493 | + | 0.400050i | \(0.131007\pi\) |
−0.111793 | + | 0.993732i | \(0.535659\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 10.6206 | − | 0.988604i | 0.935089 | − | 0.0870417i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 14.1204 | + | 11.8485i | 1.23371 | + | 1.03520i | 0.997989 | + | 0.0633828i | \(0.0201889\pi\) |
0.235719 | + | 0.971821i | \(0.424256\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −0.313282 | − | 0.114025i | −0.0271650 | − | 0.00988724i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 8.15065 | + | 3.63675i | 0.701497 | + | 0.313002i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −10.3291 | − | 3.75948i | −0.882474 | − | 0.321194i | −0.139266 | − | 0.990255i | \(-0.544474\pi\) |
−0.743208 | + | 0.669061i | \(0.766697\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 2.74189 | + | 2.30072i | 0.232564 | + | 0.195145i | 0.751621 | − | 0.659595i | \(-0.229272\pi\) |
−0.519057 | + | 0.854740i | \(0.673717\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 2.23339 | + | 3.15223i | 0.188085 | + | 0.265465i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −1.47227 | − | 2.55005i | −0.123117 | − | 0.213246i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −0.473819 | + | 0.820679i | −0.0393485 | + | 0.0681536i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 11.7079 | + | 3.06759i | 0.965654 | + | 0.253011i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 0.917496 | − | 0.333941i | 0.0751642 | − | 0.0273575i | −0.304164 | − | 0.952620i | \(-0.598377\pi\) |
0.379329 | + | 0.925262i | \(0.376155\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 1.61495 | + | 9.15886i | 0.131423 | + | 0.745337i | 0.977284 | + | 0.211934i | \(0.0679761\pi\) |
−0.845861 | + | 0.533403i | \(0.820913\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −1.42145 | + | 1.73272i | −0.114917 | + | 0.140082i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −10.7047 | + | 8.98234i | −0.859825 | + | 0.721479i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 0.449618 | − | 2.54991i | 0.0358835 | − | 0.203505i | −0.961595 | − | 0.274471i | \(-0.911497\pi\) |
0.997479 | + | 0.0709662i | \(0.0226082\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −0.256024 | + | 3.12610i | −0.0203041 | + | 0.247916i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −0.727011 | −0.0572965 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 18.7294 | 1.46700 | 0.733500 | − | 0.679689i | \(-0.237885\pi\) | ||||
0.733500 | + | 0.679689i | \(0.237885\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −0.151005 | + | 1.84380i | −0.0117557 | + | 0.143539i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −2.64060 | + | 14.9756i | −0.204336 | + | 1.15885i | 0.694145 | + | 0.719835i | \(0.255783\pi\) |
−0.898481 | + | 0.439012i | \(0.855328\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 7.21863 | − | 6.05715i | 0.555279 | − | 0.465935i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 3.18413 | + | 8.45513i | 0.243497 | + | 0.646580i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −0.701626 | − | 3.97912i | −0.0533436 | − | 0.302527i | 0.946450 | − | 0.322851i | \(-0.104641\pi\) |
−0.999793 | + | 0.0203242i | \(0.993530\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0.213216 | − | 0.0776042i | 0.0161176 | − | 0.00586632i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 9.67435 | + | 2.53477i | 0.727168 | + | 0.190525i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 5.97034 | − | 10.3409i | 0.446244 | − | 0.772917i | −0.551894 | − | 0.833914i | \(-0.686095\pi\) |
0.998138 | + | 0.0609970i | \(0.0194280\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −4.69722 | − | 8.13582i | −0.349141 | − | 0.604730i | 0.636956 | − | 0.770900i | \(-0.280193\pi\) |
−0.986097 | + | 0.166170i | \(0.946860\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −7.42905 | − | 10.4854i | −0.549171 | − | 0.775106i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −3.24249 | − | 2.72077i | −0.238393 | − | 0.200035i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −0.436523 | − | 0.158881i | −0.0319217 | − | 0.0116186i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0.251744 | + | 0.517206i | 0.0183117 | + | 0.0376212i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −1.23764 | − | 0.450464i | −0.0895524 | − | 0.0325944i | 0.296855 | − | 0.954922i | \(-0.404062\pi\) |
−0.386408 | + | 0.922328i | \(0.626284\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 7.59865 | + | 6.37603i | 0.546963 | + | 0.458956i | 0.873911 | − | 0.486086i | \(-0.161576\pi\) |
−0.326948 | + | 0.945042i | \(0.606020\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −14.0272 | + | 1.30571i | −1.00451 | + | 0.0935039i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 7.19945 | + | 12.4698i | 0.512939 | + | 0.888437i | 0.999887 | + | 0.0150060i | \(0.00477672\pi\) |
−0.486948 | + | 0.873431i | \(0.661890\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −0.629103 | + | 1.08964i | −0.0445959 | + | 0.0772424i | −0.887462 | − | 0.460881i | \(-0.847533\pi\) |
0.842866 | + | 0.538124i | \(0.180867\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −1.29509 | − | 4.72821i | −0.0913485 | − | 0.333502i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −0.0573910 | + | 0.0208886i | −0.00402806 | + | 0.00146609i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 1.07601 | + | 6.10234i | 0.0751517 | + | 0.426206i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 12.8310 | + | 14.9511i | 0.891814 | + | 1.03918i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −1.43456 | + | 1.20374i | −0.0992309 | + | 0.0832646i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 0.371353 | − | 2.10605i | 0.0255650 | − | 0.144986i | −0.969353 | − | 0.245670i | \(-0.920992\pi\) |
0.994918 | + | 0.100684i | \(0.0321031\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −16.5787 | − | 11.4719i | −1.13595 | − | 0.786045i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 10.5778 | 0.721402 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −0.900611 | −0.0611375 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 13.5310 | − | 6.40127i | 0.914341 | − | 0.432558i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 0.614289 | − | 3.48381i | 0.0413216 | − | 0.234346i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −11.6335 | + | 9.76164i | −0.779035 | + | 0.653688i | −0.943005 | − | 0.332777i | \(-0.892014\pi\) |
0.163970 | + | 0.986465i | \(0.447570\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −5.35897 | − | 3.01520i | −0.357265 | − | 0.201013i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −3.13115 | − | 17.7576i | −0.207821 | − | 1.17861i | −0.892938 | − | 0.450180i | \(-0.851360\pi\) |
0.685116 | − | 0.728434i | \(-0.259751\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 4.87272 | − | 1.77352i | 0.321998 | − | 0.117198i | −0.175964 | − | 0.984397i | \(-0.556304\pi\) |
0.497962 | + | 0.867199i | \(0.334082\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −0.0838381 | + | 0.0847739i | −0.00551614 | + | 0.00557771i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −5.11944 | + | 8.86712i | −0.335385 | + | 0.580905i | −0.983559 | − | 0.180588i | \(-0.942200\pi\) |
0.648173 | + | 0.761493i | \(0.275533\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 1.91556 | + | 3.31785i | 0.124957 | + | 0.216433i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −2.41769 | + | 5.26079i | −0.157046 | + | 0.341725i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 17.1926 | + | 14.4263i | 1.11210 | + | 0.933162i | 0.998179 | − | 0.0603274i | \(-0.0192145\pi\) |
0.113921 | + | 0.993490i | \(0.463659\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −7.39742 | − | 2.69244i | −0.476510 | − | 0.173435i | 0.0925892 | − | 0.995704i | \(-0.470486\pi\) |
−0.569099 | + | 0.822269i | \(0.692708\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 6.19343 | − | 14.3053i | 0.397309 | − | 0.917685i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 11.2787 | + | 4.10511i | 0.720569 | + | 0.262266i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −10.9245 | − | 9.16674i | −0.695109 | − | 0.583266i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −7.40744 | + | 16.1183i | −0.469427 | + | 1.02145i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 9.63730 | + | 16.6923i | 0.608301 | + | 1.05361i | 0.991520 | + | 0.129951i | \(0.0414819\pi\) |
−0.383220 | + | 0.923657i | \(0.625185\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −2.04187 | + | 3.53662i | −0.128371 | + | 0.222346i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −1.56283 | + | 1.58027i | −0.0978681 | + | 0.0989605i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −26.0752 | + | 9.49060i | −1.62653 | + | 0.592008i | −0.984610 | − | 0.174766i | \(-0.944083\pi\) |
−0.641918 | + | 0.766774i | \(0.721861\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −0.0473707 | − | 0.268653i | −0.00294347 | − | 0.0166933i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 1.44247 | + | 0.811596i | 0.0892865 | + | 0.0502365i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 12.4016 | − | 10.4062i | 0.764717 | − | 0.641674i | −0.174633 | − | 0.984634i | \(-0.555874\pi\) |
0.939350 | + | 0.342960i | \(0.111429\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −0.540133 | + | 3.06324i | −0.0331801 | + | 0.188174i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −22.2929 | + | 10.5464i | −1.36430 | + | 0.645427i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −0.692446 | −0.0422192 | −0.0211096 | − | 0.999777i | \(-0.506720\pi\) | ||||
−0.0211096 | + | 0.999777i | \(0.506720\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 28.6325 | 1.73930 | 0.869651 | − | 0.493668i | \(-0.164344\pi\) | ||||
0.869651 | + | 0.493668i | \(0.164344\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −0.746627 | − | 0.516642i | −0.0451879 | − | 0.0312686i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 0.221320 | − | 1.25517i | 0.0133461 | − | 0.0756895i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 17.0838 | − | 14.3350i | 1.02647 | − | 0.861308i | 0.0360404 | − | 0.999350i | \(-0.488526\pi\) |
0.990426 | + | 0.138043i | \(0.0440811\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 15.8948 | + | 18.5213i | 0.951598 | + | 1.10884i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −0.0501172 | − | 0.284229i | −0.00298974 | − | 0.0169557i | 0.983276 | − | 0.182120i | \(-0.0582958\pi\) |
−0.986266 | + | 0.165164i | \(0.947185\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −12.3273 | + | 4.48679i | −0.732785 | + | 0.266712i | −0.681343 | − | 0.731964i | \(-0.738604\pi\) |
−0.0514416 | + | 0.998676i | \(0.516382\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 2.36694 | + | 8.64142i | 0.140206 | + | 0.511874i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −0.199678 | + | 0.345853i | −0.0117866 | + | 0.0204150i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 8.22095 | + | 14.2391i | 0.483585 | + | 0.837595i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 20.9959 | − | 1.95438i | 1.23080 | − | 0.114568i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 16.9886 | + | 14.2551i | 0.992482 | + | 0.832792i | 0.985925 | − | 0.167187i | \(-0.0534683\pi\) |
0.00655718 | + | 0.999979i | \(0.497913\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 9.31967 | + | 3.39208i | 0.542612 | + | 0.197495i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 3.22304 | + | 0.227980i | 0.187020 | + | 0.0132287i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −29.2230 | − | 10.6363i | −1.69001 | − | 0.615114i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0.522235 | + | 0.438207i | 0.0301011 | + | 0.0252578i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −4.68066 | − | 6.60634i | −0.268897 | − | 0.379524i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −6.37185 | − | 11.0364i | −0.364851 | − | 0.631940i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 16.2041 | − | 28.0663i | 0.924817 | − | 1.60183i | 0.132962 | − | 0.991121i | \(-0.457551\pi\) |
0.791855 | − | 0.610709i | \(-0.209115\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −31.8157 | − | 8.33602i | −1.80993 | − | 0.474220i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −18.7965 | + | 6.84135i | −1.06585 | + | 0.387938i | −0.814623 | − | 0.579991i | \(-0.803056\pi\) |
−0.251227 | + | 0.967928i | \(0.580834\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 3.10652 | + | 17.6180i | 0.175591 | + | 0.995826i | 0.937460 | + | 0.348094i | \(0.113171\pi\) |
−0.761869 | + | 0.647732i | \(0.775718\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 0.201039 | + | 0.533838i | 0.0113273 | + | 0.0300784i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 1.17418 | − | 0.985253i | 0.0659484 | − | 0.0553373i | −0.609218 | − | 0.793003i | \(-0.708516\pi\) |
0.675166 | + | 0.737666i | \(0.264072\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −0.0595724 | + | 0.337852i | −0.00333541 | + | 0.0189161i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 2.01249 | − | 24.5729i | 0.112326 | − | 1.37153i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −2.24984 | −0.125184 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 9.70580 | 0.538381 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 1.34399 | − | 16.4103i | 0.0743226 | − | 0.907492i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −0.0428757 | + | 0.243160i | −0.00236382 | + | 0.0134059i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −17.8251 | + | 14.9571i | −0.979758 | + | 0.822114i | −0.984053 | − | 0.177876i | \(-0.943077\pi\) |
0.00429514 | + | 0.999991i | \(0.498633\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −4.68886 | + | 5.71562i | −0.256948 | + | 0.313214i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −0.844212 | − | 4.78777i | −0.0461243 | − | 0.261584i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −28.3282 | + | 10.3106i | −1.54314 | + | 0.561656i | −0.966795 | − | 0.255553i | \(-0.917743\pi\) |
−0.576342 | + | 0.817209i | \(0.695520\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −32.2156 | − | 8.44080i | −1.74971 | − | 0.458441i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −2.52944 | + | 4.38112i | −0.136977 | + | 0.237251i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 0.774228 | + | 1.34100i | 0.0418044 | + | 0.0724073i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 11.2954 | + | 15.9424i | 0.608121 | + | 0.858309i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 0.304694 | + | 0.255669i | 0.0163568 | + | 0.0137250i | 0.650929 | − | 0.759138i | \(-0.274379\pi\) |
−0.634573 | + | 0.772863i | \(0.718824\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −26.6427 | − | 9.69715i | −1.42615 | − | 0.519076i | −0.490325 | − | 0.871540i | \(-0.663122\pi\) |
−0.935826 | + | 0.352463i | \(0.885344\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 2.55231 | + | 24.4727i | 0.136232 | + | 1.30626i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −5.58062 | − | 2.03118i | −0.297026 | − | 0.108109i | 0.189209 | − | 0.981937i | \(-0.439408\pi\) |
−0.486235 | + | 0.873828i | \(0.661630\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −15.3157 | − | 12.8514i | −0.812875 | − | 0.682083i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −0.142624 | + | 0.0132760i | −0.00754845 | + | 0.000702639i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −9.64495 | − | 16.7055i | −0.509041 | − | 0.881685i | −0.999945 | − | 0.0104714i | \(-0.996667\pi\) |
0.490904 | − | 0.871214i | \(-0.336667\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 4.96512 | − | 8.59984i | 0.261322 | − | 0.452623i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −4.85630 | − | 17.7298i | −0.254890 | − | 0.930572i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 13.9491 | − | 5.07707i | 0.730132 | − | 0.265746i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 1.46830 | + | 8.32715i | 0.0766447 | + | 0.434674i | 0.998849 | + | 0.0479701i | \(0.0152752\pi\) |
−0.922204 | + | 0.386704i | \(0.873614\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 10.6366 | − | 1.99751i | 0.553721 | − | 0.103986i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −0.153568 | + | 0.128858i | −0.00797283 | + | 0.00669000i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 4.63555 | − | 26.2895i | 0.240020 | − | 1.36122i | −0.591760 | − | 0.806114i | \(-0.701567\pi\) |
0.831780 | − | 0.555105i | \(-0.187322\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −17.2467 | − | 11.9342i | −0.890618 | − | 0.616280i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −2.61250 | −0.134550 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 8.54090 | 0.438717 | 0.219358 | − | 0.975644i | \(-0.429604\pi\) | ||||
0.219358 | + | 0.975644i | \(0.429604\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 28.3969 | − | 13.4340i | 1.45482 | − | 0.688247i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −4.58050 | + | 25.9773i | −0.234052 | + | 1.32738i | 0.610548 | + | 0.791979i | \(0.290949\pi\) |
−0.844600 | + | 0.535398i | \(0.820162\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −0.0905752 | + | 0.0760016i | −0.00461614 | + | 0.00387340i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −0.205065 | − | 18.4738i | −0.0104240 | − | 0.939074i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 4.71986 | + | 26.7676i | 0.239306 | + | 1.35717i | 0.833352 | + | 0.552742i | \(0.186418\pi\) |
−0.594046 | + | 0.804431i | \(0.702470\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −4.61030 | + | 1.67801i | −0.233153 | + | 0.0848607i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 22.4500 | − | 22.7006i | 1.13245 | − | 1.14509i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −2.87081 | + | 4.97239i | −0.144446 | + | 0.250188i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −9.92582 | − | 17.1920i | −0.498163 | − | 0.862843i | 0.501835 | − | 0.864963i | \(-0.332658\pi\) |
−0.999998 | + | 0.00212029i | \(0.999325\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −0.241130 | + | 0.524688i | −0.0120716 | + | 0.0262673i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 15.7102 | + | 13.1824i | 0.784531 | + | 0.658300i | 0.944385 | − | 0.328841i | \(-0.106658\pi\) |
−0.159854 | + | 0.987141i | \(0.551102\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −36.2011 | − | 13.1761i | −1.80330 | − | 0.656349i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 7.43036 | − | 13.5561i | 0.369218 | − | 0.673607i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −1.43993 | − | 0.524093i | −0.0713749 | − | 0.0259783i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 2.01694 | + | 1.69242i | 0.0997315 | + | 0.0836846i | 0.691290 | − | 0.722577i | \(-0.257043\pi\) |
−0.591559 | + | 0.806262i | \(0.701487\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −7.95021 | + | 17.2993i | −0.392155 | + | 0.853311i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 0.319595 | + | 0.553555i | 0.0157262 | + | 0.0272386i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −8.79573 | + | 15.2346i | −0.431765 | + | 0.747839i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 4.35932 | − | 4.40798i | 0.213477 | − | 0.215860i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 17.0806 | − | 6.21684i | 0.834443 | − | 0.303712i | 0.110762 | − | 0.993847i | \(-0.464671\pi\) |
0.723681 | + | 0.690135i | \(0.242449\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 0.723939 | + | 4.10566i | 0.0352826 | + | 0.200098i | 0.997354 | − | 0.0727009i | \(-0.0231618\pi\) |
−0.962071 | + | 0.272799i | \(0.912051\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 5.75735 | − | 3.40977i | 0.279932 | − | 0.165789i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 1.17298 | − | 0.984245i | 0.0568977 | − | 0.0477429i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0.142620 | − | 0.808839i | 0.00690187 | − | 0.0391425i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −4.61022 | + | 2.18101i | −0.222584 | + | 0.105300i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 13.6524 | 0.657614 | 0.328807 | − | 0.944397i | \(-0.393353\pi\) | ||||
0.328807 | + | 0.944397i | \(0.393353\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −30.2325 | −1.45288 | −0.726441 | − | 0.687229i | \(-0.758827\pi\) | ||||
−0.726441 | + | 0.687229i | \(0.758827\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 1.34973 | + | 0.933967i | 0.0647144 | + | 0.0447803i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −3.43446 | + | 19.4778i | −0.164292 | + | 0.931748i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 5.46671 | − | 4.58712i | 0.260912 | − | 0.218931i | −0.502942 | − | 0.864320i | \(-0.667749\pi\) |
0.763854 | + | 0.645389i | \(0.223305\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 6.95076 | − | 19.7774i | 0.330988 | − | 0.941779i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −6.18594 | − | 35.0822i | −0.293903 | − | 1.66681i | −0.671629 | − | 0.740888i | \(-0.734405\pi\) |
0.377726 | − | 0.925917i | \(-0.376706\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −22.9818 | + | 8.36468i | −1.08944 | + | 0.396524i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −0.446758 | − | 1.63106i | −0.0211309 | − | 0.0771465i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 4.92409 | − | 8.52878i | 0.232382 | − | 0.402498i | −0.726126 | − | 0.687561i | \(-0.758681\pi\) |
0.958509 | + | 0.285063i | \(0.0920146\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 1.12162 | + | 1.94271i | 0.0528152 | + | 0.0914787i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 16.0390 | − | 1.49297i | 0.753577 | − | 0.0701459i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −0.689748 | − | 0.578767i | −0.0323359 | − | 0.0271330i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −24.7288 | − | 9.00055i | −1.15676 | − | 0.421028i | −0.308824 | − | 0.951119i | \(-0.599935\pi\) |
−0.847940 | + | 0.530092i | \(0.822158\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 2.79018 | + | 2.69878i | 0.130234 | + | 0.125968i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 0.744335 | + | 0.270916i | 0.0346671 | + | 0.0126178i | 0.359296 | − | 0.933224i | \(-0.383017\pi\) |
−0.324628 | + | 0.945842i | \(0.605239\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −28.5448 | − | 23.9519i | −1.32659 | − | 1.11314i | −0.984862 | − | 0.173341i | \(-0.944544\pi\) |
−0.341727 | − | 0.939799i | \(-0.611012\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 13.9925 | + | 19.7492i | 0.648888 | + | 0.915847i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −6.24595 | − | 10.8183i | −0.289028 | − | 0.500611i | 0.684550 | − | 0.728966i | \(-0.259999\pi\) |
−0.973578 | + | 0.228355i | \(0.926665\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0.156663 | − | 0.271349i | 0.00723403 | − | 0.0125297i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −4.33827 | − | 1.13667i | −0.199897 | − | 0.0523750i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 3.59844 | − | 1.30973i | 0.165457 | − | 0.0602213i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −1.07189 | − | 6.07899i | −0.0491817 | − | 0.278923i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 5.36030 | + | 0.883935i | 0.245431 | + | 0.0404726i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −20.4517 | + | 17.1610i | −0.934462 | + | 0.784107i | −0.976613 | − | 0.215005i | \(-0.931023\pi\) |
0.0421513 | + | 0.999111i | \(0.486579\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 2.02632 | − | 11.4918i | 0.0923923 | − | 0.523983i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −0.102785 | + | 1.25502i | −0.00467686 | + | 0.0571053i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 20.9114 | 0.949539 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 0.761007 | 0.0344845 | 0.0172423 | − | 0.999851i | \(-0.494511\pi\) | ||||
0.0172423 | + | 0.999851i | \(0.494511\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 2.64796 | − | 32.3320i | 0.119745 | − | 1.46210i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −2.12288 | + | 12.0395i | −0.0958044 | + | 0.543334i | 0.898693 | + | 0.438577i | \(0.144517\pi\) |
−0.994498 | + | 0.104757i | \(0.966594\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −0.315729 | + | 0.264928i | −0.0142197 | + | 0.0119317i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 3.16154 | + | 0.521351i | 0.142101 | + | 0.0234330i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −0.223753 | − | 1.26897i | −0.0100367 | − | 0.0569210i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 31.5849 | − | 11.4960i | 1.41393 | − | 0.514630i | 0.481652 | − | 0.876362i | \(-0.340037\pi\) |
0.932282 | + | 0.361733i | \(0.117815\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 25.4786 | + | 6.67565i | 1.13830 | + | 0.298246i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 19.6004 | − | 33.9489i | 0.873939 | − | 1.51371i | 0.0160501 | − | 0.999871i | \(-0.494891\pi\) |
0.857889 | − | 0.513835i | \(-0.171776\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −4.01457 | − | 6.95344i | −0.178646 | − | 0.309424i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −9.43572 | − | 13.3177i | −0.419055 | − | 0.591459i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −28.0375 | − | 23.5262i | −1.24274 | − | 1.04278i | −0.997305 | − | 0.0733695i | \(-0.976625\pi\) |
−0.245435 | − | 0.969413i | \(-0.578931\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0.899007 | + | 0.327212i | 0.0397697 | + | 0.0144750i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 15.0460 | − | 4.30129i | 0.664298 | − | 0.189907i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −30.6493 | − | 11.1554i | −1.35057 | − | 0.491567i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 1.06246 | + | 0.891509i | 0.0467269 | + | 0.0392085i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −6.96823 | + | 0.648630i | −0.305872 | + | 0.0284717i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 21.7365 | + | 37.6487i | 0.952292 | + | 1.64942i | 0.740447 | + | 0.672115i | \(0.234614\pi\) |
0.211846 | + | 0.977303i | \(0.432053\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 13.4858 | − | 23.3581i | 0.589692 | − | 1.02138i | −0.404580 | − | 0.914503i | \(-0.632582\pi\) |
0.994273 | − | 0.106875i | \(-0.0340843\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −0.103821 | − | 0.379040i | −0.00453114 | − | 0.0165427i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −5.71117 | + | 2.07870i | −0.248783 | + | 0.0905495i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 3.49555 | + | 19.8242i | 0.151980 | + | 0.861923i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 5.74346 | − | 16.3422i | 0.249245 | − | 0.709190i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −13.0862 | + | 10.9806i | −0.566825 | + | 0.475623i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 4.24574 | − | 24.0788i | 0.183559 | − | 1.04102i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −17.0072 | − | 11.7684i | −0.733913 | − | 0.507845i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 4.34515 | 0.187159 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −25.5928 | −1.10032 | −0.550161 | − | 0.835059i | \(-0.685434\pi\) | ||||
−0.550161 | + | 0.835059i | \(0.685434\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −14.7087 | + | 6.95843i | −0.631211 | + | 0.298615i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 2.83540 | − | 16.0803i | 0.121455 | − | 0.688806i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −29.7003 | + | 24.9215i | −1.26989 | + | 1.06557i | −0.275340 | + | 0.961347i | \(0.588791\pi\) |
−0.994554 | + | 0.104221i | \(0.966765\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −19.1510 | + | 11.3421i | −0.817346 | + | 0.484070i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 0.288519 | + | 1.63627i | 0.0122913 | + | 0.0697076i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −0.347725 | + | 0.126562i | −0.0147868 | + | 0.00538195i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −5.15521 | + | 5.21275i | −0.218827 | + | 0.221269i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −11.8428 | + | 20.5123i | −0.501796 | + | 0.869135i | 0.498202 | + | 0.867061i | \(0.333994\pi\) |
−0.999998 | + | 0.00207455i | \(0.999340\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 14.5808 | + | 25.2546i | 0.616700 | + | 1.06816i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −0.335988 | + | 0.731095i | −0.0141854 | + | 0.0308668i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −1.64424 | − | 1.37968i | −0.0692966 | − | 0.0581468i | 0.607481 | − | 0.794334i | \(-0.292180\pi\) |
−0.676778 | + | 0.736187i | \(0.736624\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −31.0345 | − | 11.2956i | −1.30563 | − | 0.475211i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 0.928429 | − | 0.361456i | 0.0389903 | − | 0.0151797i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 24.6232 | + | 8.96212i | 1.03226 | + | 0.375712i | 0.801941 | − | 0.597404i | \(-0.203801\pi\) |
0.230318 | + | 0.973115i | \(0.426023\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 17.5657 | + | 14.7394i | 0.735103 | + | 0.616825i | 0.931518 | − | 0.363696i | \(-0.118485\pi\) |
−0.196414 | + | 0.980521i | \(0.562930\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −0.952600 | + | 2.07281i | −0.0397954 | + | 0.0865931i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −6.73042 | − | 11.6574i | −0.280678 | − | 0.486148i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −9.78899 | + | 16.9550i | −0.407521 | + | 0.705847i | −0.994611 | − | 0.103674i | \(-0.966940\pi\) |
0.587090 | + | 0.809521i | \(0.300273\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 12.0810 | − | 12.2159i | 0.502071 | − | 0.507675i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −1.06538 | + | 0.387765i | −0.0441992 | + | 0.0160872i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 0.195539 | + | 1.10895i | 0.00809838 | + | 0.0459282i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 0.270842 | + | 24.3994i | 0.0111979 | + | 1.00879i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −4.30667 | + | 3.61372i | −0.177755 | + | 0.149154i | −0.727324 | − | 0.686294i | \(-0.759236\pi\) |
0.549569 | + | 0.835448i | \(0.314792\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −4.25456 | + | 24.1288i | −0.175306 | + | 0.994209i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 22.5441 | − | 10.6652i | 0.927341 | − | 0.438708i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −10.8726 | −0.446485 | −0.223242 | − | 0.974763i | \(-0.571664\pi\) | ||||
−0.223242 | + | 0.974763i | \(0.571664\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −0.142050 | −0.00582347 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 1.79207 | + | 1.24005i | 0.0733445 | + | 0.0507521i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −5.35724 | + | 30.3824i | −0.218891 | + | 1.24139i | 0.655135 | + | 0.755512i | \(0.272612\pi\) |
−0.874026 | + | 0.485880i | \(0.838499\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 23.1145 | − | 19.3954i | 0.942859 | − | 0.791153i | −0.0352212 | − | 0.999380i | \(-0.511214\pi\) |
0.978081 | + | 0.208227i | \(0.0667691\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −8.34528 | + | 1.56720i | −0.339846 | + | 0.0638213i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −3.16561 | − | 17.9531i | −0.128701 | − | 0.729897i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −22.6270 | + | 8.23554i | −0.918400 | + | 0.334270i | −0.757602 | − | 0.652717i | \(-0.773629\pi\) |
−0.160798 | + | 0.986987i | \(0.551407\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0.0279455 | + | 0.102026i | 0.00113241 | + | 0.00413429i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −5.28092 | + | 9.14682i | −0.213643 | + | 0.370041i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −2.40618 | − | 4.16763i | −0.0971848 | − | 0.168329i | 0.813334 | − | 0.581798i | \(-0.197650\pi\) |
−0.910518 | + | 0.413469i | \(0.864317\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 10.6864 | − | 0.994734i | 0.430918 | − | 0.0401115i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 22.6131 | + | 18.9746i | 0.910368 | + | 0.763890i | 0.972189 | − | 0.234198i | \(-0.0752463\pi\) |
−0.0618207 | + | 0.998087i | \(0.519691\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −25.4127 | − | 9.24948i | −1.02142 | − | 0.371768i | −0.223614 | − | 0.974678i | \(-0.571786\pi\) |
−0.797809 | + | 0.602910i | \(0.794008\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 27.6238 | − | 20.0359i | 1.10850 | − | 0.804015i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −1.48115 | − | 0.539095i | −0.0593410 | − | 0.0215984i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −8.08221 | − | 6.78178i | −0.323289 | − | 0.271271i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 1.87517 | + | 2.64663i | 0.0748870 | + | 0.105696i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −0.920475 | − | 1.59431i | −0.0367017 | − | 0.0635693i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −10.8466 | + | 18.7868i | −0.431795 | + | 0.747890i | −0.997028 | − | 0.0770409i | \(-0.975453\pi\) |
0.565233 | + | 0.824931i | \(0.308786\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −3.58311 | − | 0.938809i | −0.142416 | − | 0.0373143i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 29.2744 | − | 10.6550i | 1.16172 | − | 0.422831i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 5.74588 | + | 32.5865i | 0.227660 | + | 1.29112i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −22.1476 | + | 26.9975i | −0.876145 | + | 1.06800i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −1.76584 | + | 1.48172i | −0.0697465 | + | 0.0585242i | −0.676994 | − | 0.735988i | \(-0.736718\pi\) |
0.607248 | + | 0.794512i | \(0.292273\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 4.07742 | − | 23.1242i | 0.160798 | − | 0.911929i | −0.792495 | − | 0.609879i | \(-0.791218\pi\) |
0.953292 | − | 0.302050i | \(-0.0976708\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 1.49549 | − | 18.2602i | 0.0588849 | − | 0.718995i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 17.6845 | 0.695249 | 0.347625 | − | 0.937634i | \(-0.386988\pi\) | ||||
0.347625 | + | 0.937634i | \(0.386988\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 3.59043 | 0.140937 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −0.127328 | + | 1.55470i | −0.00499038 | + | 0.0609335i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −8.38632 | + | 47.5612i | −0.328182 | + | 1.86121i | 0.158116 | + | 0.987421i | \(0.449458\pi\) |
−0.486298 | + | 0.873793i | \(0.661653\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 24.2540 | − | 20.3516i | 0.947684 | − | 0.795201i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −9.13733 | − | 24.2632i | −0.356481 | − | 0.946597i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 3.39217 | + | 19.2379i | 0.132140 | + | 0.749403i | 0.976809 | + | 0.214114i | \(0.0686863\pi\) |
−0.844669 | + | 0.535289i | \(0.820203\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 0.962869 | − | 0.350456i | 0.0374513 | − | 0.0136311i | −0.323227 | − | 0.946322i | \(-0.604768\pi\) |
0.360678 | + | 0.932690i | \(0.382545\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −5.92715 | − | 1.55297i | −0.230191 | − | 0.0603123i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −0.286322 | + | 0.495925i | −0.0111031 | + | 0.0192311i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 1.81162 | + | 3.13781i | 0.0701461 | + | 0.121497i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 15.2065 | + | 21.4626i | 0.587917 | + | 0.829793i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −3.53412 | − | 2.96548i | −0.136433 | − | 0.114481i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −46.6520 | − | 16.9799i | −1.79830 | − | 0.654529i | −0.998529 | − | 0.0542270i | \(-0.982731\pi\) |
−0.799774 | − | 0.600302i | \(-0.795047\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −5.96269 | + | 8.82476i | −0.229504 | + | 0.339665i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −1.37819 | − | 0.501621i | −0.0529682 | − | 0.0192788i | 0.315400 | − | 0.948959i | \(-0.397861\pi\) |
−0.368368 | + | 0.929680i | \(0.620083\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 1.03241 | + | 0.866297i | 0.0396203 | + | 0.0332454i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −31.0971 | + | 2.89464i | −1.19164 | + | 0.110923i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 18.2547 | + | 31.6181i | 0.698498 | + | 1.20983i | 0.968987 | + | 0.247111i | \(0.0794813\pi\) |
−0.270489 | + | 0.962723i | \(0.587185\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −9.44022 | + | 16.3509i | −0.360692 | + | 0.624737i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −2.37268 | − | 8.66237i | −0.0905234 | − | 0.330490i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −8.05804 | + | 2.93289i | −0.306987 | + | 0.111734i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 8.32578 | + | 47.2178i | 0.316728 | + | 1.79625i | 0.562365 | + | 0.826889i | \(0.309892\pi\) |
−0.245637 | + | 0.969362i | \(0.578997\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 0.134490 | + | 0.156713i | 0.00510884 | + | 0.00595302i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 4.70963 | − | 3.95185i | 0.178646 | − | 0.149902i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −0.467986 | + | 2.65408i | −0.0177262 | + | 0.100530i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 14.5833 | + | 10.0912i | 0.551590 | + | 0.381683i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −6.02917 | −0.227719 | −0.113859 | − | 0.993497i | \(-0.536321\pi\) | ||||
−0.113859 | + | 0.993497i | \(0.536321\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −7.42141 | −0.279904 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 5.99833 | − | 2.83770i | 0.225910 | − | 0.106874i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 0.0898576 | − | 0.509608i | 0.00337944 | − | 0.0191658i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 26.2161 | − | 21.9979i | 0.984567 | − | 0.826150i | −0.000205004 | − | 1.00000i | \(-0.500065\pi\) |
0.984772 | + | 0.173850i | \(0.0556208\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 8.73974 | + | 4.91736i | 0.327766 | + | 0.184416i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 9.27783 | + | 52.6172i | 0.347457 | + | 1.97053i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −4.75269 | + | 1.72984i | −0.177740 | + | 0.0646922i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 27.3345 | − | 27.6396i | 1.02082 | − | 1.03222i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 22.0922 | − | 38.2649i | 0.823902 | − | 1.42704i | −0.0788539 | − | 0.996886i | \(-0.525126\pi\) |
0.902756 | − | 0.430154i | \(-0.141541\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −1.05104 | − | 1.82046i | −0.0391428 | − | 0.0677974i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −5.69373 | + | 12.3893i | −0.211752 | + | 0.460763i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −0.866249 | − | 0.726869i | −0.0321717 | − | 0.0269952i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 35.8200 | + | 13.0374i | 1.32849 | + | 0.483531i | 0.906169 | − | 0.422915i | \(-0.138993\pi\) |
0.422321 | + | 0.906446i | \(0.361215\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −23.8192 | − | 12.7140i | −0.882192 | − | 0.470890i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 4.32315 | + | 1.57350i | 0.159897 | + | 0.0581979i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −31.6649 | − | 26.5700i | −1.16957 | − | 0.981386i | −0.169579 | − | 0.985517i | \(-0.554241\pi\) |
−0.999991 | + | 0.00413034i | \(0.998685\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 8.68111 | − | 18.8897i | 0.320208 | − | 0.696757i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −0.880002 | − | 1.52421i | −0.0324153 | − | 0.0561449i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −5.57182 | + | 9.65067i | −0.204963 | + | 0.355006i | −0.950121 | − | 0.311882i | \(-0.899041\pi\) |
0.745158 | + | 0.666888i | \(0.232374\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −17.3688 | + | 17.5626i | −0.638058 | + | 0.645180i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −38.9528 | + | 14.1777i | −1.42904 | + | 0.520128i | −0.936656 | − | 0.350250i | \(-0.886097\pi\) |
−0.492384 | + | 0.870378i | \(0.663875\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −0.291222 | − | 1.65160i | −0.0106696 | − | 0.0605101i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 26.7772 | + | 15.0660i | 0.979727 | + | 0.551238i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 1.20713 | − | 1.01290i | 0.0441074 | − | 0.0370105i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 3.57094 | − | 20.2518i | 0.130306 | − | 0.738999i | −0.847709 | − | 0.530462i | \(-0.822019\pi\) |
0.978014 | − | 0.208537i | \(-0.0668703\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 30.1779 | − | 14.2766i | 1.09975 | − | 0.520270i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 15.9744 | 0.581369 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 20.6622 | 0.750982 | 0.375491 | − | 0.926826i | \(-0.377474\pi\) | ||||
0.375491 | + | 0.926826i | \(0.377474\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 5.81649 | + | 4.02483i | 0.211125 | + | 0.146092i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −3.18914 | + | 18.0865i | −0.115606 | + | 0.655636i | 0.870842 | + | 0.491563i | \(0.163574\pi\) |
−0.986448 | + | 0.164073i | \(0.947537\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0.806145 | − | 0.676436i | 0.0291844 | − | 0.0244886i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 2.50703 | + | 2.92128i | 0.0906417 | + | 0.105619i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 4.74786 | + | 26.9265i | 0.171435 | + | 0.972258i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 10.2361 | − | 3.72563i | 0.369123 | − | 0.134350i | −0.150797 | − | 0.988565i | \(-0.548184\pi\) |
0.519920 | + | 0.854215i | \(0.325962\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 12.6968 | + | 46.3547i | 0.457266 | + | 1.66942i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −10.3426 | + | 17.9139i | −0.371998 | + | 0.644320i | −0.989873 | − | 0.141957i | \(-0.954661\pi\) |
0.617875 | + | 0.786277i | \(0.287994\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −8.33755 | − | 14.4411i | −0.299493 | − | 0.518738i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −0.470465 | + | 0.0437927i | −0.0168778 | + | 0.00157105i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 8.32264 | + | 6.98353i | 0.298190 | + | 0.250211i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −6.80146 | − | 2.47553i | −0.243375 | − | 0.0885813i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 1.60497 | − | 2.37535i | 0.0573570 | − | 0.0848880i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −4.17922 | − | 1.52111i | −0.149163 | − | 0.0542909i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 23.6833 | + | 19.8726i | 0.844217 | + | 0.708382i | 0.958508 | − | 0.285065i | \(-0.0920153\pi\) |
−0.114291 | + | 0.993447i | \(0.536460\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −16.2106 | − | 22.8798i | −0.577112 | − | 0.814543i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −1.06425 | − | 1.84334i | −0.0378404 | − | 0.0655416i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 17.5662 | − | 30.4256i | 0.623795 | − | 1.08045i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 5.21163 | + | 1.36550i | 0.184837 | + | 0.0484291i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 44.9010 | − | 16.3426i | 1.59047 | − | 0.578885i | 0.613026 | − | 0.790063i | \(-0.289952\pi\) |
0.977448 | + | 0.211178i | \(0.0677300\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0.289343 | + | 1.64095i | 0.0102362 | + | 0.0580526i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 15.0541 | + | 39.9746i | 0.531911 | + | 1.41243i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 4.11669 | − | 3.45431i | 0.145275 | − | 0.121900i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −0.216844 | + | 1.22978i | −0.00764275 | + | 0.0433442i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −0.0978978 | + | 1.19535i | −0.00344617 | + | 0.0420783i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 13.0291 | 0.458078 | 0.229039 | − | 0.973417i | \(-0.426442\pi\) | ||||
0.229039 | + | 0.973417i | \(0.426442\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 35.1935 | 1.23581 | 0.617905 | − | 0.786253i | \(-0.287982\pi\) | ||||
0.617905 | + | 0.786253i | \(0.287982\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 4.04806 | − | 49.4275i | 0.141972 | − | 1.73350i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 5.58637 | − | 31.6819i | 0.195682 | − | 1.10977i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 14.2073 | − | 11.9214i | 0.497052 | − | 0.417076i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −0.997422 | + | 1.21584i | −0.0348528 | + | 0.0424848i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 0.376951 | + | 2.13779i | 0.0131557 | + | 0.0746095i | 0.990679 | − | 0.136219i | \(-0.0434950\pi\) |
−0.977523 | + | 0.210828i | \(0.932384\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −0.757409 | + | 0.275674i | −0.0264016 | + | 0.00960941i | −0.355187 | − | 0.934795i | \(-0.615583\pi\) |
0.328786 | + | 0.944405i | \(0.393361\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −2.13547 | − | 0.559513i | −0.0743475 | − | 0.0194798i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −24.8277 | + | 43.0029i | −0.863344 | + | 1.49536i | 0.00533726 | + | 0.999986i | \(0.498301\pi\) |
−0.868682 | + | 0.495371i | \(0.835032\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 6.98084 | + | 12.0912i | 0.242455 | + | 0.419944i | 0.961413 | − | 0.275109i | \(-0.0887141\pi\) |
−0.718958 | + | 0.695053i | \(0.755381\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −22.3308 | − | 31.5180i | −0.774648 | − | 1.09335i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 3.99894 | + | 3.35551i | 0.138555 | + | 0.116261i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 24.5445 | + | 8.93348i | 0.849399 | + | 0.309156i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 34.2199 | − | 24.8202i | 1.18281 | − | 0.857913i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 30.6122 | + | 11.1419i | 1.05685 | + | 0.384662i | 0.811244 | − | 0.584708i | \(-0.198791\pi\) |
0.245606 | + | 0.969370i | \(0.421013\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −21.9821 | − | 18.4452i | −0.758004 | − | 0.636041i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −0.497741 | + | 0.0463317i | −0.0171431 | + | 0.00159575i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −8.09295 | − | 14.0174i | −0.278406 | − | 0.482213i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 0.587453 | − | 1.01750i | 0.0201851 | − | 0.0349617i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 6.00257 | + | 21.9147i | 0.206008 | + | 0.752110i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −15.2077 | + | 5.53516i | −0.521314 | + | 0.189743i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 2.93012 | + | 16.6175i | 0.100325 | + | 0.568974i | 0.992985 | + | 0.118242i | \(0.0377258\pi\) |
−0.892659 | + | 0.450732i | \(0.851163\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 15.2521 | − | 2.86426i | 0.521610 | − | 0.0979557i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −8.44797 | + | 7.08869i | −0.288577 | + | 0.242145i | −0.775571 | − | 0.631261i | \(-0.782538\pi\) |
0.486994 | + | 0.873405i | \(0.338093\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −5.61388 | + | 31.8379i | −0.191543 | + | 1.08629i | 0.725713 | + | 0.687997i | \(0.241510\pi\) |
−0.917256 | + | 0.398297i | \(0.869601\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 0.568805 | + | 0.393595i | 0.0193848 | + | 0.0134137i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −8.00690 | −0.272558 | −0.136279 | − | 0.990670i | \(-0.543514\pi\) | ||||
−0.136279 | + | 0.990670i | \(0.543514\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −6.94019 | −0.235974 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 25.7428 | − | 12.1785i | 0.874273 | − | 0.413603i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −0.360942 | + | 2.04700i | −0.0122441 | + | 0.0694398i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 10.2671 | − | 8.61514i | 0.347888 | − | 0.291913i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −0.405395 | − | 36.5210i | −0.0137205 | − | 1.23605i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −0.232769 | − | 1.32010i | −0.00786904 | − | 0.0446275i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 25.0105 | − | 9.10306i | 0.844543 | − | 0.307389i | 0.116730 | − | 0.993164i | \(-0.462759\pi\) |
0.727814 | + | 0.685775i | \(0.240537\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 27.0100 | − | 27.3115i | 0.911025 | − | 0.921193i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 4.62649 | − | 8.01331i | 0.155870 | − | 0.269975i | −0.777505 | − | 0.628876i | \(-0.783515\pi\) |
0.933376 | + | 0.358901i | \(0.116848\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −12.6630 | − | 21.9330i | −0.426145 | − | 0.738104i | 0.570382 | − | 0.821380i | \(-0.306795\pi\) |
−0.996527 | + | 0.0832755i | \(0.973462\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 7.17326 | − | 15.6087i | 0.241127 | − | 0.524681i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −0.931036 | − | 0.781232i | −0.0312611 | − | 0.0262312i | 0.627023 | − | 0.779001i | \(-0.284273\pi\) |
−0.658284 | + | 0.752769i | \(0.728718\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 1.88670 | + | 0.686703i | 0.0632779 | + | 0.0230313i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 0.849228 | − | 5.53162i | 0.0284502 | − | 0.185316i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 6.31210 | + | 2.29742i | 0.211226 | + | 0.0768801i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −15.7115 | − | 13.1835i | −0.525179 | − | 0.440677i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −22.4927 | + | 48.9431i | −0.751009 | + | 1.63416i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 2.24421 | + | 3.88708i | 0.0748484 | + | 0.129641i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −0.676422 | + | 1.17160i | −0.0225349 | + | 0.0390316i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 0.830298 | − | 0.839566i | 0.0276306 | − | 0.0279390i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −15.1632 | + | 5.51897i | −0.504043 | + | 0.183457i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −0.833391 | − | 4.72640i | −0.0276723 | − | 0.156937i | 0.967840 | − | 0.251565i | \(-0.0809452\pi\) |
−0.995513 | + | 0.0946274i | \(0.969834\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −12.0661 | + | 7.14609i | −0.400207 | + | 0.237021i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 1.33780 | − | 1.12255i | 0.0443235 | − | 0.0371918i | −0.620357 | − | 0.784320i | \(-0.713012\pi\) |
0.664680 | + | 0.747128i | \(0.268568\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −1.10587 | + | 6.27170i | −0.0365990 | + | 0.207563i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −19.9526 | + | 9.43922i | −0.659613 | + | 0.312051i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 2.04054 | 0.0673846 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −43.0678 | −1.42067 | −0.710337 | − | 0.703862i | \(-0.751458\pi\) | ||||
−0.710337 | + | 0.703862i | \(0.751458\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −46.1592 | − | 31.9407i | −1.52100 | − | 1.05248i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 9.57122 | − | 54.2811i | 0.315041 | − | 1.78668i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 3.86923 | − | 3.24667i | 0.127220 | − | 0.106750i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −18.8883 | + | 53.7440i | −0.620374 | + | 1.76518i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −8.09519 | − | 45.9101i | −0.265595 | − | 1.50626i | −0.767336 | − | 0.641245i | \(-0.778418\pi\) |
0.501742 | − | 0.865018i | \(-0.332693\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 19.7752 | − | 7.19758i | 0.648106 | − | 0.235891i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 9.15259 | + | 33.4150i | 0.299642 | + | 1.09396i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −0.398958 | + | 0.691016i | −0.0130473 | + | 0.0225986i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −8.86081 | − | 15.3474i | −0.289470 | − | 0.501377i | 0.684213 | − | 0.729282i | \(-0.260146\pi\) |
−0.973683 | + | 0.227905i | \(0.926812\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 30.8526 | − | 2.87188i | 1.00684 | − | 0.0937201i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −40.9818 | − | 34.3878i | −1.33597 | − | 1.12101i | −0.982642 | − | 0.185509i | \(-0.940606\pi\) |
−0.353325 | − | 0.935501i | \(-0.614949\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 22.2631 | + | 8.10310i | 0.724985 | + | 0.263873i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0.949972 | − | 0.271574i | 0.0309026 | − | 0.00883431i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 50.5523 | + | 18.3995i | 1.64273 | + | 0.597905i | 0.987513 | − | 0.157537i | \(-0.0503552\pi\) |
0.655216 | + | 0.755441i | \(0.272577\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 31.3494 | + | 26.3053i | 1.01764 | + | 0.853905i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −1.53481 | − | 2.16625i | −0.0497696 | − | 0.0702453i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 11.5960 | + | 20.0848i | 0.375630 | + | 0.650611i | 0.990421 | − | 0.138079i | \(-0.0440929\pi\) |
−0.614791 | + | 0.788690i | \(0.710760\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −1.13113 | + | 1.95918i | −0.0366027 | + | 0.0633977i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 0.574801 | + | 0.150603i | 0.0185807 | + | 0.00486832i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −1.14344 | + | 0.416178i | −0.0369236 | + | 0.0134391i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 6.11014 | + | 34.6523i | 0.197101 | + | 1.11782i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −42.1349 | − | 6.94822i | −1.35778 | − | 0.223903i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 13.0519 | − | 10.9518i | 0.420154 | − | 0.352551i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −4.02407 | + | 22.8216i | −0.129405 | + | 0.733894i | 0.849188 | + | 0.528091i | \(0.177092\pi\) |
−0.978593 | + | 0.205803i | \(0.934019\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −0.318082 | + | 3.88383i | −0.0102183 | + | 0.124767i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 6.85324 | 0.219931 | 0.109965 | − | 0.993935i | \(-0.464926\pi\) | ||||
0.109965 | + | 0.993935i | \(0.464926\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 0.396231 | 0.0127026 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 1.37220 | − | 16.7548i | 0.0439457 | − | 0.536585i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 4.62627 | − | 26.2369i | 0.148008 | − | 0.839393i | −0.816895 | − | 0.576786i | \(-0.804307\pi\) |
0.964903 | − | 0.262607i | \(-0.0845822\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −6.78241 | + | 5.69112i | −0.216767 | + | 0.181889i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −28.1386 | − | 4.64017i | −0.898397 | − | 0.148149i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 0.287621 | + | 1.63118i | 0.00917367 | + | 0.0520265i | 0.989051 | − | 0.147574i | \(-0.0471466\pi\) |
−0.979877 | + | 0.199601i | \(0.936035\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 23.2408 | − | 8.45895i | 0.740513 | − | 0.269525i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 0.413699 | + | 0.108393i | 0.0131682 | + | 0.00345019i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 20.2218 | − | 35.0253i | 0.643017 | − | 1.11374i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 4.05179 | + | 7.01790i | 0.128709 | + | 0.222931i | 0.923177 | − | 0.384376i | \(-0.125583\pi\) |
−0.794468 | + | 0.607307i | \(0.792250\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 23.2998 | + | 32.8856i | 0.739398 | + | 1.04359i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 1.65555 | + | 1.38917i | 0.0524844 | + | 0.0440396i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −15.6478 | − | 5.69532i | −0.495570 | − | 0.180373i | 0.0821306 | − | 0.996622i | \(-0.473828\pi\) |
−0.577700 | + | 0.816249i | \(0.696050\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 9.20380 | + | 8.90231i | 0.291195 | + | 0.281657i |
(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 | 864.2.y.d.193.6 | yes | 60 | |
4.3 | odd | 2 | inner | 864.2.y.d.193.5 | ✓ | 60 | |
27.7 | even | 9 | inner | 864.2.y.d.385.6 | yes | 60 | |
108.7 | odd | 18 | inner | 864.2.y.d.385.5 | yes | 60 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
864.2.y.d.193.5 | ✓ | 60 | 4.3 | odd | 2 | inner | |
864.2.y.d.193.6 | yes | 60 | 1.1 | even | 1 | trivial | |
864.2.y.d.385.5 | yes | 60 | 108.7 | odd | 18 | inner | |
864.2.y.d.385.6 | yes | 60 | 27.7 | even | 9 | inner |