Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(4,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([14, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.z (of order \(21\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 142.13 | ||
Character | \(\chi\) | \(=\) | 441.142 |
Dual form | 441.2.z.a.382.13 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{4}{21}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.682865 | + | 1.73991i | −0.482858 | + | 1.23030i | 0.457223 | + | 0.889352i | \(0.348844\pi\) |
−0.940081 | + | 0.340951i | \(0.889251\pi\) | |||||||
\(3\) | 0.970846 | + | 1.43438i | 0.560518 | + | 0.828142i | ||||
\(4\) | −1.09488 | − | 1.01590i | −0.547441 | − | 0.507951i | ||||
\(5\) | −0.565392 | + | 0.272278i | −0.252851 | + | 0.121767i | −0.556016 | − | 0.831171i | \(-0.687671\pi\) |
0.303165 | + | 0.952938i | \(0.401957\pi\) | |||||||
\(6\) | −3.15866 | + | 0.709696i | −1.28952 | + | 0.289732i | ||||
\(7\) | −2.38327 | − | 1.14891i | −0.900793 | − | 0.434249i | ||||
\(8\) | −0.852795 | + | 0.410684i | −0.301508 | + | 0.145199i | ||||
\(9\) | −1.11491 | + | 2.78513i | −0.371638 | + | 0.928378i | ||||
\(10\) | −0.0876540 | − | 1.16966i | −0.0277186 | − | 0.369879i | ||||
\(11\) | −1.43447 | − | 1.79877i | −0.432510 | − | 0.542351i | 0.517042 | − | 0.855960i | \(-0.327033\pi\) |
−0.949552 | + | 0.313609i | \(0.898462\pi\) | |||||||
\(12\) | 0.394231 | − | 2.55677i | 0.113805 | − | 0.738075i | ||||
\(13\) | −0.0553948 | + | 0.141144i | −0.0153638 | + | 0.0391462i | −0.938350 | − | 0.345687i | \(-0.887646\pi\) |
0.922986 | + | 0.384833i | \(0.125741\pi\) | |||||||
\(14\) | 3.62646 | − | 3.36213i | 0.969213 | − | 0.898567i | ||||
\(15\) | −0.939461 | − | 0.546649i | −0.242568 | − | 0.141144i | ||||
\(16\) | −0.355444 | − | 4.74306i | −0.0888609 | − | 1.18577i | ||||
\(17\) | −4.56665 | + | 4.23723i | −1.10758 | + | 1.02768i | −0.108138 | + | 0.994136i | \(0.534489\pi\) |
−0.999437 | + | 0.0335440i | \(0.989321\pi\) | |||||||
\(18\) | −4.08455 | − | 3.84172i | −0.962737 | − | 0.905502i | ||||
\(19\) | 1.98955 | − | 3.44601i | 0.456435 | − | 0.790569i | −0.542334 | − | 0.840163i | \(-0.682459\pi\) |
0.998769 | + | 0.0495939i | \(0.0157927\pi\) | |||||||
\(20\) | 0.895646 | + | 0.276270i | 0.200273 | + | 0.0617759i | ||||
\(21\) | −0.665808 | − | 4.53395i | −0.145291 | − | 0.989389i | ||||
\(22\) | 4.10926 | − | 1.26754i | 0.876097 | − | 0.270240i | ||||
\(23\) | −1.14358 | + | 5.01037i | −0.238454 | + | 1.04473i | 0.703948 | + | 0.710251i | \(0.251419\pi\) |
−0.942402 | + | 0.334483i | \(0.891438\pi\) | |||||||
\(24\) | −1.41701 | − | 0.824524i | −0.289246 | − | 0.168305i | ||||
\(25\) | −2.87192 | + | 3.60127i | −0.574383 | + | 0.720254i | ||||
\(26\) | −0.207750 | − | 0.192764i | −0.0407432 | − | 0.0378041i | ||||
\(27\) | −5.07736 | + | 1.10472i | −0.977139 | + | 0.212603i | ||||
\(28\) | 1.44222 | + | 3.67910i | 0.272554 | + | 0.695284i | ||||
\(29\) | 4.55246 | + | 1.40425i | 0.845371 | + | 0.260762i | 0.687036 | − | 0.726623i | \(-0.258911\pi\) |
0.158335 | + | 0.987386i | \(0.449388\pi\) | |||||||
\(30\) | 1.59264 | − | 1.26129i | 0.290776 | − | 0.230279i | ||||
\(31\) | −2.14880 | + | 3.72183i | −0.385936 | + | 0.668461i | −0.991899 | − | 0.127032i | \(-0.959455\pi\) |
0.605962 | + | 0.795493i | \(0.292788\pi\) | |||||||
\(32\) | 6.68627 | + | 2.06244i | 1.18198 | + | 0.364592i | ||||
\(33\) | 1.18748 | − | 3.80392i | 0.206713 | − | 0.662178i | ||||
\(34\) | −4.25400 | − | 10.8390i | −0.729555 | − | 1.85888i | ||||
\(35\) | 1.66031 | 0.000673016i | 0.280643 | 0.000113760i | ||||||
\(36\) | 4.05012 | − | 1.91675i | 0.675020 | − | 0.319458i | ||||
\(37\) | −2.69261 | − | 0.830560i | −0.442662 | − | 0.136543i | 0.0654085 | − | 0.997859i | \(-0.479165\pi\) |
−0.508071 | + | 0.861315i | \(0.669641\pi\) | |||||||
\(38\) | 4.63715 | + | 5.81481i | 0.752246 | + | 0.943286i | ||||
\(39\) | −0.256234 | + | 0.0575714i | −0.0410303 | + | 0.00921880i | ||||
\(40\) | 0.370343 | − | 0.464395i | 0.0585564 | − | 0.0734273i | ||||
\(41\) | 7.50721 | + | 5.11833i | 1.17243 | + | 0.799349i | 0.983191 | − | 0.182582i | \(-0.0584455\pi\) |
0.189239 | + | 0.981931i | \(0.439398\pi\) | |||||||
\(42\) | 8.34333 | + | 1.93763i | 1.28740 | + | 0.298982i | ||||
\(43\) | 6.56247 | − | 4.47422i | 1.00077 | − | 0.682311i | 0.0521177 | − | 0.998641i | \(-0.483403\pi\) |
0.948649 | + | 0.316330i | \(0.102451\pi\) | |||||||
\(44\) | −0.256798 | + | 3.42673i | −0.0387138 | + | 0.516599i | ||||
\(45\) | −0.127968 | − | 1.87826i | −0.0190763 | − | 0.279994i | ||||
\(46\) | −7.93668 | − | 5.41114i | −1.17020 | − | 0.797829i | ||||
\(47\) | −1.56481 | + | 3.98706i | −0.228250 | + | 0.581573i | −0.998415 | − | 0.0562720i | \(-0.982079\pi\) |
0.770165 | + | 0.637845i | \(0.220174\pi\) | |||||||
\(48\) | 6.45830 | − | 5.11463i | 0.932175 | − | 0.738233i | ||||
\(49\) | 4.35999 | + | 5.47636i | 0.622856 | + | 0.782337i | ||||
\(50\) | −4.30476 | − | 7.45606i | −0.608785 | − | 1.05445i | ||||
\(51\) | −10.5113 | − | 2.43663i | −1.47188 | − | 0.341196i | ||||
\(52\) | 0.204039 | − | 0.0982600i | 0.0282951 | − | 0.0136262i | ||||
\(53\) | −7.82609 | + | 2.41403i | −1.07500 | + | 0.331592i | −0.781203 | − | 0.624277i | \(-0.785394\pi\) |
−0.293792 | + | 0.955869i | \(0.594917\pi\) | |||||||
\(54\) | 1.54504 | − | 9.58853i | 0.210253 | − | 1.30483i | ||||
\(55\) | 1.30081 | + | 0.626436i | 0.175401 | + | 0.0844686i | ||||
\(56\) | 2.50428 | + | 0.00101513i | 0.334649 | + | 0.000135652i | ||||
\(57\) | 6.87445 | − | 0.491761i | 0.910544 | − | 0.0651353i | ||||
\(58\) | −5.55198 | + | 6.96196i | −0.729011 | + | 0.914151i | ||||
\(59\) | 8.62434 | − | 5.87998i | 1.12279 | − | 0.765508i | 0.148083 | − | 0.988975i | \(-0.452690\pi\) |
0.974711 | + | 0.223467i | \(0.0717375\pi\) | |||||||
\(60\) | 0.473257 | + | 1.55292i | 0.0610972 | + | 0.200481i | ||||
\(61\) | 2.24401 | − | 2.08214i | 0.287316 | − | 0.266591i | −0.523326 | − | 0.852133i | \(-0.675309\pi\) |
0.810642 | + | 0.585542i | \(0.199118\pi\) | |||||||
\(62\) | −5.00832 | − | 6.28023i | −0.636057 | − | 0.797590i | ||||
\(63\) | 5.85703 | − | 5.35679i | 0.737916 | − | 0.674892i | ||||
\(64\) | −2.22320 | + | 2.78780i | −0.277899 | + | 0.348475i | ||||
\(65\) | −0.00711060 | − | 0.0948843i | −0.000881961 | − | 0.0117690i | ||||
\(66\) | 5.80760 | + | 4.66367i | 0.714866 | + | 0.574058i | ||||
\(67\) | −0.672978 | + | 1.16563i | −0.0822173 | + | 0.142405i | −0.904202 | − | 0.427105i | \(-0.859534\pi\) |
0.821985 | + | 0.569510i | \(0.192867\pi\) | |||||||
\(68\) | 9.30456 | 1.12834 | ||||||||
\(69\) | −8.29704 | + | 3.22396i | −0.998846 | + | 0.388119i | ||||
\(70\) | −1.13494 | + | 2.88833i | −0.135651 | + | 0.345222i | ||||
\(71\) | −0.851336 | + | 3.72995i | −0.101035 | + | 0.442663i | 0.898954 | + | 0.438042i | \(0.144328\pi\) |
−0.999989 | + | 0.00462099i | \(0.998529\pi\) | |||||||
\(72\) | −0.193017 | − | 2.83302i | −0.0227473 | − | 0.333875i | ||||
\(73\) | −8.10834 | − | 1.22214i | −0.949009 | − | 0.143040i | −0.343744 | − | 0.939064i | \(-0.611695\pi\) |
−0.605266 | + | 0.796023i | \(0.706933\pi\) | |||||||
\(74\) | 3.28379 | − | 4.11774i | 0.381733 | − | 0.478677i | ||||
\(75\) | −7.95379 | − | 0.623152i | −0.918425 | − | 0.0719554i | ||||
\(76\) | −5.67914 | + | 1.75178i | −0.651442 | + | 0.200943i | ||||
\(77\) | 1.35211 | + | 5.93506i | 0.154087 | + | 0.676363i | ||||
\(78\) | 0.0748041 | − | 0.485138i | 0.00846990 | − | 0.0549310i | ||||
\(79\) | 6.42322 | + | 11.1253i | 0.722669 | + | 1.25170i | 0.959926 | + | 0.280252i | \(0.0904180\pi\) |
−0.237258 | + | 0.971447i | \(0.576249\pi\) | |||||||
\(80\) | 1.49240 | + | 2.58491i | 0.166855 | + | 0.289002i | ||||
\(81\) | −6.51393 | − | 6.21037i | −0.723770 | − | 0.690041i | ||||
\(82\) | −14.0319 | + | 9.56675i | −1.54956 | + | 1.05647i | ||||
\(83\) | −2.57811 | − | 6.56892i | −0.282985 | − | 0.721033i | −0.999719 | − | 0.0236871i | \(-0.992459\pi\) |
0.716735 | − | 0.697346i | \(-0.245636\pi\) | |||||||
\(84\) | −3.87707 | + | 5.64054i | −0.423023 | + | 0.615433i | ||||
\(85\) | 1.42824 | − | 3.63910i | 0.154914 | − | 0.394716i | ||||
\(86\) | 3.30346 | + | 14.4734i | 0.356221 | + | 1.56071i | ||||
\(87\) | 2.40551 | + | 7.89329i | 0.257898 | + | 0.846249i | ||||
\(88\) | 1.96204 | + | 0.944869i | 0.209154 | + | 0.100723i | ||||
\(89\) | 3.57244 | + | 9.10244i | 0.378678 | + | 0.964856i | 0.985448 | + | 0.169978i | \(0.0543698\pi\) |
−0.606770 | + | 0.794878i | \(0.707535\pi\) | |||||||
\(90\) | 3.35539 | + | 1.05994i | 0.353689 | + | 0.111728i | ||||
\(91\) | 0.294183 | − | 0.272740i | 0.0308388 | − | 0.0285909i | ||||
\(92\) | 6.34213 | − | 4.32399i | 0.661213 | − | 0.450808i | ||||
\(93\) | −7.42470 | + | 0.531122i | −0.769905 | + | 0.0550748i | ||||
\(94\) | −5.86858 | − | 5.44525i | −0.605298 | − | 0.561634i | ||||
\(95\) | −0.186604 | + | 2.49006i | −0.0191452 | + | 0.255475i | ||||
\(96\) | 3.53301 | + | 11.5930i | 0.360586 | + | 1.18321i | ||||
\(97\) | 6.19120 | − | 10.7235i | 0.628621 | − | 1.08880i | −0.359208 | − | 0.933258i | \(-0.616953\pi\) |
0.987829 | − | 0.155546i | \(-0.0497136\pi\) | |||||||
\(98\) | −12.5057 | + | 3.84638i | −1.26326 | + | 0.388543i | ||||
\(99\) | 6.60914 | − | 1.98972i | 0.664244 | − | 0.199975i | ||||
\(100\) | 6.80295 | − | 1.02538i | 0.680295 | − | 0.102538i | ||||
\(101\) | −8.57506 | + | 4.12953i | −0.853251 | + | 0.410904i | −0.808783 | − | 0.588107i | \(-0.799873\pi\) |
−0.0444675 | + | 0.999011i | \(0.514159\pi\) | |||||||
\(102\) | 11.4173 | − | 16.6249i | 1.13048 | − | 1.64611i | ||||
\(103\) | −4.21692 | + | 2.03076i | −0.415506 | + | 0.200097i | −0.629944 | − | 0.776640i | \(-0.716922\pi\) |
0.214438 | + | 0.976738i | \(0.431208\pi\) | |||||||
\(104\) | −0.0107251 | − | 0.143116i | −0.00105168 | − | 0.0140337i | ||||
\(105\) | 1.61094 | + | 2.38217i | 0.157212 | + | 0.232476i | ||||
\(106\) | 1.14396 | − | 15.2651i | 0.111112 | − | 1.48268i | ||||
\(107\) | 2.83433 | + | 7.22177i | 0.274005 | + | 0.698154i | 0.999946 | + | 0.0103969i | \(0.00330951\pi\) |
−0.725941 | + | 0.687757i | \(0.758595\pi\) | |||||||
\(108\) | 6.68140 | + | 3.94856i | 0.642918 | + | 0.379951i | ||||
\(109\) | −4.43982 | + | 11.3125i | −0.425257 | + | 1.08354i | 0.544347 | + | 0.838860i | \(0.316777\pi\) |
−0.969604 | + | 0.244678i | \(0.921318\pi\) | |||||||
\(110\) | −1.97822 | + | 1.83552i | −0.188616 | + | 0.175010i | ||||
\(111\) | −1.42277 | − | 4.66858i | −0.135043 | − | 0.443122i | ||||
\(112\) | −4.60226 | + | 11.7124i | −0.434872 | + | 1.10672i | ||||
\(113\) | −17.8700 | − | 2.69347i | −1.68107 | − | 0.253380i | −0.762028 | − | 0.647544i | \(-0.775796\pi\) |
−0.919040 | + | 0.394163i | \(0.871034\pi\) | |||||||
\(114\) | −3.83870 | + | 12.2967i | −0.359527 | + | 1.15170i | ||||
\(115\) | −0.717642 | − | 3.14420i | −0.0669205 | − | 0.293198i | ||||
\(116\) | −3.55783 | − | 6.16234i | −0.330336 | − | 0.572159i | ||||
\(117\) | −0.331343 | − | 0.311645i | −0.0306327 | − | 0.0288116i | ||||
\(118\) | 4.34138 | + | 19.0208i | 0.399656 | + | 1.75101i | ||||
\(119\) | 15.7518 | − | 4.85179i | 1.44397 | − | 0.444763i | ||||
\(120\) | 1.02567 | + | 0.0803574i | 0.0936302 | + | 0.00733560i | ||||
\(121\) | 1.26986 | − | 5.56362i | 0.115442 | − | 0.505783i | ||||
\(122\) | 2.09038 | + | 5.32620i | 0.189254 | + | 0.482212i | ||||
\(123\) | −0.0533020 | + | 15.7373i | −0.00480608 | + | 1.41899i | ||||
\(124\) | 6.13370 | − | 1.89200i | 0.550823 | − | 0.169906i | ||||
\(125\) | 1.34141 | − | 5.87711i | 0.119980 | − | 0.525665i | ||||
\(126\) | 5.32079 | + | 13.8487i | 0.474013 | + | 1.23374i | ||||
\(127\) | 4.28174 | + | 18.7595i | 0.379943 | + | 1.66464i | 0.697642 | + | 0.716446i | \(0.254233\pi\) |
−0.317699 | + | 0.948191i | \(0.602910\pi\) | |||||||
\(128\) | 3.66476 | + | 6.34754i | 0.323922 | + | 0.561049i | ||||
\(129\) | 12.7889 | + | 5.06932i | 1.12600 | + | 0.446329i | ||||
\(130\) | 0.169946 | + | 0.0524214i | 0.0149052 | + | 0.00459766i | ||||
\(131\) | 0.556386 | + | 0.267941i | 0.0486117 | + | 0.0234101i | 0.458032 | − | 0.888936i | \(-0.348555\pi\) |
−0.409420 | + | 0.912346i | \(0.634269\pi\) | |||||||
\(132\) | −5.16456 | + | 2.95848i | −0.449517 | + | 0.257503i | ||||
\(133\) | −8.70082 | + | 5.92696i | −0.754457 | + | 0.513932i | ||||
\(134\) | −1.56854 | − | 1.96689i | −0.135501 | − | 0.169913i | ||||
\(135\) | 2.56991 | − | 2.00706i | 0.221182 | − | 0.172740i | ||||
\(136\) | 2.15425 | − | 5.48894i | 0.184725 | − | 0.470673i | ||||
\(137\) | −13.1083 | − | 6.31261i | −1.11992 | − | 0.539323i | −0.220049 | − | 0.975489i | \(-0.570622\pi\) |
−0.899866 | + | 0.436166i | \(0.856336\pi\) | |||||||
\(138\) | 0.0563513 | − | 16.6376i | 0.00479694 | − | 1.41629i | ||||
\(139\) | −0.355721 | − | 0.242526i | −0.0301718 | − | 0.0205708i | 0.548140 | − | 0.836386i | \(-0.315336\pi\) |
−0.578312 | + | 0.815816i | \(0.696288\pi\) | |||||||
\(140\) | −1.81716 | − | 1.68745i | −0.153578 | − | 0.142615i | ||||
\(141\) | −7.23816 | + | 1.62629i | −0.609563 | + | 0.136958i | ||||
\(142\) | −5.90843 | − | 4.02830i | −0.495825 | − | 0.338047i | ||||
\(143\) | 0.333348 | − | 0.102824i | 0.0278760 | − | 0.00859859i | ||||
\(144\) | 13.6064 | + | 4.29816i | 1.13386 | + | 0.358180i | ||||
\(145\) | −2.95627 | + | 0.445586i | −0.245505 | + | 0.0370039i | ||||
\(146\) | 7.66331 | − | 13.2732i | 0.634220 | − | 1.09850i | ||||
\(147\) | −3.62232 | + | 11.5706i | −0.298764 | + | 0.954327i | ||||
\(148\) | 2.10432 | + | 3.64479i | 0.172974 | + | 0.299600i | ||||
\(149\) | −6.49081 | − | 8.13922i | −0.531748 | − | 0.666791i | 0.441309 | − | 0.897355i | \(-0.354514\pi\) |
−0.973057 | + | 0.230564i | \(0.925943\pi\) | |||||||
\(150\) | 6.51559 | − | 13.4134i | 0.531996 | − | 1.09520i | ||||
\(151\) | −4.29892 | + | 18.8348i | −0.349841 | + | 1.53275i | 0.427699 | + | 0.903921i | \(0.359324\pi\) |
−0.777540 | + | 0.628833i | \(0.783533\pi\) | |||||||
\(152\) | −0.281460 | + | 3.75582i | −0.0228294 | + | 0.304637i | ||||
\(153\) | −6.70983 | − | 17.4429i | −0.542458 | − | 1.41017i | ||||
\(154\) | −11.2498 | − | 1.70030i | −0.906533 | − | 0.137014i | ||||
\(155\) | 0.201540 | − | 2.68937i | 0.0161881 | − | 0.216015i | ||||
\(156\) | 0.339033 | + | 0.197275i | 0.0271444 | + | 0.0157946i | ||||
\(157\) | 10.0571 | − | 6.85678i | 0.802640 | − | 0.547231i | −0.0910863 | − | 0.995843i | \(-0.529034\pi\) |
0.893727 | + | 0.448612i | \(0.148082\pi\) | |||||||
\(158\) | −23.7433 | + | 3.57873i | −1.88891 | + | 0.284708i | ||||
\(159\) | −11.0606 | − | 8.88196i | −0.877160 | − | 0.704385i | ||||
\(160\) | −4.34192 | + | 0.654440i | −0.343259 | + | 0.0517380i | ||||
\(161\) | 8.48196 | − | 10.6272i | 0.668472 | − | 0.837541i | ||||
\(162\) | 15.2536 | − | 7.09281i | 1.19844 | − | 0.557264i | ||||
\(163\) | −0.353131 | + | 0.240761i | −0.0276594 | + | 0.0188578i | −0.577071 | − | 0.816694i | \(-0.695804\pi\) |
0.549411 | + | 0.835552i | \(0.314852\pi\) | |||||||
\(164\) | −3.01979 | − | 13.2306i | −0.235806 | − | 1.03313i | ||||
\(165\) | 0.364335 | + | 2.47403i | 0.0283634 | + | 0.192603i | ||||
\(166\) | 13.1898 | 1.02373 | ||||||||
\(167\) | 18.1959 | − | 16.8833i | 1.40804 | − | 1.30647i | 0.514502 | − | 0.857489i | \(-0.327977\pi\) |
0.893540 | − | 0.448983i | \(-0.148213\pi\) | |||||||
\(168\) | 2.42982 | + | 3.59309i | 0.187465 | + | 0.277213i | ||||
\(169\) | 9.51282 | + | 8.82661i | 0.731755 | + | 0.678970i | ||||
\(170\) | 5.35641 | + | 4.97002i | 0.410818 | + | 0.381183i | ||||
\(171\) | 7.37941 | + | 9.38318i | 0.564318 | + | 0.717550i | ||||
\(172\) | −11.7305 | − | 1.76809i | −0.894442 | − | 0.134815i | ||||
\(173\) | 3.76407 | − | 1.16106i | 0.286177 | − | 0.0882740i | −0.148343 | − | 0.988936i | \(-0.547394\pi\) |
0.434520 | + | 0.900662i | \(0.356918\pi\) | |||||||
\(174\) | −15.3763 | − | 1.20468i | −1.16567 | − | 0.0913262i | ||||
\(175\) | 10.9821 | − | 5.28322i | 0.830170 | − | 0.399374i | ||||
\(176\) | −8.02183 | + | 7.44317i | −0.604668 | + | 0.561050i | ||||
\(177\) | 16.8071 | + | 6.66207i | 1.26330 | + | 0.500752i | ||||
\(178\) | −18.2769 | −1.36991 | ||||||||
\(179\) | 2.94976 | − | 2.73698i | 0.220475 | − | 0.204571i | −0.562200 | − | 0.827001i | \(-0.690045\pi\) |
0.782675 | + | 0.622430i | \(0.213854\pi\) | |||||||
\(180\) | −1.76802 | + | 2.18648i | −0.131780 | + | 0.162970i | ||||
\(181\) | 9.06723 | − | 11.3699i | 0.673962 | − | 0.845122i | −0.320821 | − | 0.947140i | \(-0.603959\pi\) |
0.994783 | + | 0.102018i | \(0.0325301\pi\) | |||||||
\(182\) | 0.273656 | + | 0.698097i | 0.0202848 | + | 0.0517464i | ||||
\(183\) | 5.16518 | + | 1.19734i | 0.381821 | + | 0.0885098i | ||||
\(184\) | −1.08244 | − | 4.74247i | −0.0797983 | − | 0.349619i | ||||
\(185\) | 1.74852 | − | 0.263547i | 0.128554 | − | 0.0193764i | ||||
\(186\) | 4.14596 | − | 13.2810i | 0.303996 | − | 0.973810i | ||||
\(187\) | 14.1726 | + | 2.13617i | 1.03640 | + | 0.156212i | ||||
\(188\) | 5.76374 | − | 2.77567i | 0.420364 | − | 0.202437i | ||||
\(189\) | 13.3700 | + | 3.20060i | 0.972522 | + | 0.232810i | ||||
\(190\) | −4.20506 | − | 2.02505i | −0.305067 | − | 0.146912i | ||||
\(191\) | −18.1484 | − | 12.3734i | −1.31317 | − | 0.895305i | −0.314625 | − | 0.949216i | \(-0.601879\pi\) |
−0.998546 | + | 0.0539115i | \(0.982831\pi\) | |||||||
\(192\) | −6.15715 | − | 0.482392i | −0.444354 | − | 0.0348136i | ||||
\(193\) | −0.597072 | + | 7.96738i | −0.0429782 | + | 0.573504i | 0.933597 | + | 0.358326i | \(0.116652\pi\) |
−0.976575 | + | 0.215178i | \(0.930967\pi\) | |||||||
\(194\) | 14.4301 | + | 18.0948i | 1.03602 | + | 1.29913i | ||||
\(195\) | 0.129197 | − | 0.102317i | 0.00925201 | − | 0.00732710i | ||||
\(196\) | 0.789767 | − | 10.4253i | 0.0564120 | − | 0.744664i | ||||
\(197\) | −6.05865 | −0.431661 | −0.215830 | − | 0.976431i | \(-0.569246\pi\) | ||||
−0.215830 | + | 0.976431i | \(0.569246\pi\) | |||||||
\(198\) | −1.05121 | + | 12.8580i | −0.0747063 | + | 0.913780i | ||||
\(199\) | −6.21506 | − | 4.23736i | −0.440574 | − | 0.300378i | 0.322643 | − | 0.946521i | \(-0.395429\pi\) |
−0.763217 | + | 0.646143i | \(0.776381\pi\) | |||||||
\(200\) | 0.970170 | − | 4.25059i | 0.0686014 | − | 0.300562i | ||||
\(201\) | −2.32532 | + | 0.166341i | −0.164016 | + | 0.0117328i | ||||
\(202\) | −1.32941 | − | 17.7398i | −0.0935370 | − | 1.24817i | ||||
\(203\) | −9.23640 | − | 8.57710i | −0.648268 | − | 0.601994i | ||||
\(204\) | 9.03330 | + | 13.3463i | 0.632457 | + | 0.934429i | ||||
\(205\) | −5.63813 | − | 0.849811i | −0.393784 | − | 0.0593534i | ||||
\(206\) | −0.653759 | − | 8.72381i | −0.0455496 | − | 0.607817i | ||||
\(207\) | −12.6795 | − | 8.77117i | −0.881289 | − | 0.609638i | ||||
\(208\) | 0.689143 | + | 0.212573i | 0.0477835 | + | 0.0147393i | ||||
\(209\) | −9.05256 | + | 1.36445i | −0.626179 | + | 0.0943812i | ||||
\(210\) | −5.24482 | + | 1.17619i | −0.361927 | + | 0.0811647i | ||||
\(211\) | 13.4830 | + | 2.03224i | 0.928210 | + | 0.139905i | 0.595711 | − | 0.803199i | \(-0.296870\pi\) |
0.332499 | + | 0.943104i | \(0.392108\pi\) | |||||||
\(212\) | 11.0211 | + | 5.30746i | 0.756929 | + | 0.364518i | ||||
\(213\) | −6.17670 | + | 2.40006i | −0.423220 | + | 0.164450i | ||||
\(214\) | −14.5007 | −0.991247 | ||||||||
\(215\) | −2.49214 | + | 4.31651i | −0.169962 | + | 0.294383i | ||||
\(216\) | 3.87626 | − | 3.02729i | 0.263746 | − | 0.205981i | ||||
\(217\) | 9.39725 | − | 6.40136i | 0.637927 | − | 0.434553i | ||||
\(218\) | −16.6509 | − | 15.4498i | −1.12774 | − | 1.04639i | ||||
\(219\) | −6.11894 | − | 12.8170i | −0.413480 | − | 0.866091i | ||||
\(220\) | −0.787834 | − | 2.00737i | −0.0531157 | − | 0.135337i | ||||
\(221\) | −0.345090 | − | 0.879274i | −0.0232133 | − | 0.0591464i | ||||
\(222\) | 9.09447 | + | 0.712520i | 0.610381 | + | 0.0478212i | ||||
\(223\) | 4.26391 | + | 3.95633i | 0.285533 | + | 0.264935i | 0.809915 | − | 0.586547i | \(-0.199513\pi\) |
−0.524382 | + | 0.851483i | \(0.675704\pi\) | |||||||
\(224\) | −13.5656 | − | 12.5973i | −0.906393 | − | 0.841694i | ||||
\(225\) | −6.82807 | − | 12.0138i | −0.455205 | − | 0.800918i | ||||
\(226\) | 16.8892 | − | 29.2529i | 1.12345 | − | 1.94588i | ||||
\(227\) | 25.3619 | 1.68333 | 0.841665 | − | 0.539999i | \(-0.181576\pi\) | ||||
0.841665 | + | 0.539999i | \(0.181576\pi\) | |||||||
\(228\) | −8.02630 | − | 6.44535i | −0.531554 | − | 0.426854i | ||||
\(229\) | −4.30817 | − | 2.07471i | −0.284692 | − | 0.137101i | 0.286088 | − | 0.958203i | \(-0.407645\pi\) |
−0.570780 | + | 0.821103i | \(0.693359\pi\) | |||||||
\(230\) | 5.96067 | + | 0.898427i | 0.393035 | + | 0.0592405i | ||||
\(231\) | −7.20047 | + | 7.70147i | −0.473756 | + | 0.506720i | ||||
\(232\) | −4.45902 | + | 0.672089i | −0.292749 | + | 0.0441248i | ||||
\(233\) | −1.54306 | − | 0.475972i | −0.101089 | − | 0.0311819i | 0.243798 | − | 0.969826i | \(-0.421607\pi\) |
−0.344887 | + | 0.938644i | \(0.612083\pi\) | |||||||
\(234\) | 0.768497 | − | 0.363697i | 0.0502382 | − | 0.0237756i | ||||
\(235\) | −0.200862 | − | 2.68032i | −0.0131028 | − | 0.174845i | ||||
\(236\) | −15.4161 | − | 2.32361i | −1.00350 | − | 0.151254i | ||||
\(237\) | −9.72205 | + | 20.0144i | −0.631515 | + | 1.30007i | ||||
\(238\) | −2.31466 | + | 30.7198i | −0.150037 | + | 1.99127i | ||||
\(239\) | 0.138619 | + | 1.84974i | 0.00896650 | + | 0.119650i | 0.999891 | − | 0.0147707i | \(-0.00470182\pi\) |
−0.990924 | + | 0.134420i | \(0.957083\pi\) | |||||||
\(240\) | −2.25887 | + | 4.65023i | −0.145809 | + | 0.300171i | ||||
\(241\) | 5.71438 | − | 25.0363i | 0.368095 | − | 1.61273i | −0.363911 | − | 0.931434i | \(-0.618559\pi\) |
0.732006 | − | 0.681298i | \(-0.238584\pi\) | |||||||
\(242\) | 8.81305 | + | 6.00864i | 0.566525 | + | 0.386250i | ||||
\(243\) | 2.58403 | − | 15.3728i | 0.165766 | − | 0.986165i | ||||
\(244\) | −4.57218 | −0.292704 | ||||||||
\(245\) | −3.95620 | − | 1.90916i | −0.252752 | − | 0.121972i | ||||
\(246\) | −27.3452 | − | 10.8392i | −1.74346 | − | 0.691083i | ||||
\(247\) | 0.376171 | + | 0.471704i | 0.0239352 | + | 0.0300138i | ||||
\(248\) | 0.303988 | − | 4.05644i | 0.0193033 | − | 0.257584i | ||||
\(249\) | 6.91941 | − | 10.0754i | 0.438500 | − | 0.638504i | ||||
\(250\) | 9.30965 | + | 6.34721i | 0.588794 | + | 0.401433i | ||||
\(251\) | −19.1591 | − | 9.22652i | −1.20931 | − | 0.582373i | −0.282994 | − | 0.959122i | \(-0.591328\pi\) |
−0.926315 | + | 0.376749i | \(0.877042\pi\) | |||||||
\(252\) | −11.8547 | − | 0.0851099i | −0.746778 | − | 0.00536142i | ||||
\(253\) | 10.6530 | − | 5.13020i | 0.669746 | − | 0.322533i | ||||
\(254\) | −35.5637 | − | 5.36037i | −2.23147 | − | 0.336340i | ||||
\(255\) | 6.60647 | − | 1.48436i | 0.413713 | − | 0.0929542i | ||||
\(256\) | −20.5985 | + | 3.10472i | −1.28741 | + | 0.194045i | ||||
\(257\) | 2.61787 | + | 11.4697i | 0.163299 | + | 0.715457i | 0.988575 | + | 0.150729i | \(0.0481620\pi\) |
−0.825277 | + | 0.564729i | \(0.808981\pi\) | |||||||
\(258\) | −17.5533 | + | 18.7899i | −1.09282 | + | 1.16981i | ||||
\(259\) | 5.46298 | + | 5.07303i | 0.339453 | + | 0.315223i | ||||
\(260\) | −0.0886079 | + | 0.111111i | −0.00549523 | + | 0.00689080i | ||||
\(261\) | −8.98662 | + | 11.1136i | −0.556258 | + | 0.687914i | ||||
\(262\) | −0.846131 | + | 0.785094i | −0.0522741 | + | 0.0485033i | ||||
\(263\) | 3.55951 | 0.219489 | 0.109744 | − | 0.993960i | \(-0.464997\pi\) | ||||
0.109744 | + | 0.993960i | \(0.464997\pi\) | |||||||
\(264\) | 0.549535 | + | 3.73164i | 0.0338215 | + | 0.229667i | ||||
\(265\) | 3.76752 | − | 3.49575i | 0.231437 | − | 0.214742i | ||||
\(266\) | −4.37089 | − | 19.1860i | −0.267997 | − | 1.17637i | ||||
\(267\) | −9.58809 | + | 13.9613i | −0.586782 | + | 0.854419i | ||||
\(268\) | 1.92100 | − | 0.592550i | 0.117344 | − | 0.0361957i | ||||
\(269\) | 0.974529 | + | 0.146887i | 0.0594181 | + | 0.00895583i | 0.178684 | − | 0.983907i | \(-0.442816\pi\) |
−0.119266 | + | 0.992862i | \(0.538054\pi\) | |||||||
\(270\) | 1.73720 | + | 5.84196i | 0.105723 | + | 0.355530i | ||||
\(271\) | −5.53089 | − | 5.13192i | −0.335978 | − | 0.311742i | 0.494083 | − | 0.869415i | \(-0.335504\pi\) |
−0.830061 | + | 0.557673i | \(0.811694\pi\) | |||||||
\(272\) | 21.7207 | + | 20.1538i | 1.31701 | + | 1.22201i | ||||
\(273\) | 0.676821 | + | 0.157183i | 0.0409630 | + | 0.00951313i | ||||
\(274\) | 19.9346 | − | 18.4966i | 1.20429 | − | 1.11742i | ||||
\(275\) | 10.5976 | 0.639057 | ||||||||
\(276\) | 12.3595 | + | 4.89912i | 0.743955 | + | 0.294892i | ||||
\(277\) | 4.78324 | + | 20.9568i | 0.287397 | + | 1.25917i | 0.888083 | + | 0.459684i | \(0.152037\pi\) |
−0.600685 | + | 0.799486i | \(0.705106\pi\) | |||||||
\(278\) | 0.664883 | − | 0.453310i | 0.0398771 | − | 0.0271877i | ||||
\(279\) | −7.97007 | − | 10.1342i | −0.477156 | − | 0.606720i | ||||
\(280\) | −1.41618 | + | 0.681289i | −0.0846329 | + | 0.0407148i | ||||
\(281\) | −7.31402 | + | 1.10241i | −0.436318 | + | 0.0657643i | −0.363529 | − | 0.931583i | \(-0.618428\pi\) |
−0.0727892 | + | 0.997347i | \(0.523190\pi\) | |||||||
\(282\) | 2.11309 | − | 13.7043i | 0.125832 | − | 0.816079i | ||||
\(283\) | 23.2510 | − | 3.50453i | 1.38213 | − | 0.208323i | 0.584463 | − | 0.811420i | \(-0.301305\pi\) |
0.797667 | + | 0.603098i | \(0.206067\pi\) | |||||||
\(284\) | 4.72138 | − | 3.21898i | 0.280162 | − | 0.191011i | ||||
\(285\) | −3.75287 | + | 2.14980i | −0.222301 | + | 0.127343i | ||||
\(286\) | −0.0487266 | + | 0.650211i | −0.00288126 | + | 0.0384478i | ||||
\(287\) | −12.0112 | − | 20.8235i | −0.709000 | − | 1.22917i | ||||
\(288\) | −13.1988 | + | 16.3227i | −0.777747 | + | 0.961825i | ||||
\(289\) | 1.62975 | − | 21.7475i | 0.0958675 | − | 1.27926i | ||||
\(290\) | 1.24345 | − | 5.44793i | 0.0730181 | − | 0.319913i | ||||
\(291\) | 21.3923 | − | 1.53029i | 1.25404 | − | 0.0897069i | ||||
\(292\) | 7.63611 | + | 9.57538i | 0.446869 | + | 0.560356i | ||||
\(293\) | 9.03184 | + | 15.6436i | 0.527646 | + | 0.913910i | 0.999481 | + | 0.0322226i | \(0.0102586\pi\) |
−0.471835 | + | 0.881687i | \(0.656408\pi\) | |||||||
\(294\) | −17.6583 | − | 14.2037i | −1.02985 | − | 0.828375i | ||||
\(295\) | −3.27514 | + | 5.67272i | −0.190686 | + | 0.330278i | ||||
\(296\) | 2.63734 | − | 0.397515i | 0.153292 | − | 0.0231051i | ||||
\(297\) | 9.27049 | + | 7.54833i | 0.537928 | + | 0.437999i | ||||
\(298\) | 18.5939 | − | 5.73545i | 1.07711 | − | 0.332246i | ||||
\(299\) | −0.643833 | − | 0.438958i | −0.0372338 | − | 0.0253856i | ||||
\(300\) | 8.07540 | + | 8.76255i | 0.466234 | + | 0.505906i | ||||
\(301\) | −20.7807 | + | 3.12356i | −1.19778 | + | 0.180039i | ||||
\(302\) | −29.8353 | − | 20.3414i | −1.71683 | − | 1.17051i | ||||
\(303\) | −14.2484 | − | 8.29079i | −0.818549 | − | 0.476294i | ||||
\(304\) | −17.0518 | − | 8.21172i | −0.977989 | − | 0.470975i | ||||
\(305\) | −0.701825 | + | 1.78822i | −0.0401864 | + | 0.102393i | ||||
\(306\) | 34.9310 | + | 0.236623i | 1.99687 | + | 0.0135269i | ||||
\(307\) | 17.9175 | + | 22.4679i | 1.02261 | + | 1.28231i | 0.958720 | + | 0.284351i | \(0.0917781\pi\) |
0.0638863 | + | 0.997957i | \(0.479650\pi\) | |||||||
\(308\) | 4.54904 | − | 7.87180i | 0.259206 | − | 0.448538i | ||||
\(309\) | −7.00688 | − | 4.07713i | −0.398607 | − | 0.231940i | ||||
\(310\) | 4.54164 | + | 2.18714i | 0.257948 | + | 0.124221i | ||||
\(311\) | 19.4146 | + | 5.98861i | 1.10090 | + | 0.339583i | 0.791389 | − | 0.611313i | \(-0.209358\pi\) |
0.309511 | + | 0.950896i | \(0.399835\pi\) | |||||||
\(312\) | 0.194871 | − | 0.154328i | 0.0110324 | − | 0.00873709i | ||||
\(313\) | 11.6206 | + | 20.1274i | 0.656833 | + | 1.13767i | 0.981431 | + | 0.191816i | \(0.0614376\pi\) |
−0.324598 | + | 0.945852i | \(0.605229\pi\) | |||||||
\(314\) | 5.06258 | + | 22.1806i | 0.285698 | + | 1.25173i | ||||
\(315\) | −1.85298 | + | 4.62343i | −0.104403 | + | 0.260501i | ||||
\(316\) | 4.26959 | − | 18.7063i | 0.240183 | − | 1.05231i | ||||
\(317\) | 3.05518 | − | 0.942398i | 0.171596 | − | 0.0529303i | −0.207767 | − | 0.978178i | \(-0.566619\pi\) |
0.379363 | + | 0.925248i | \(0.376143\pi\) | |||||||
\(318\) | 23.0067 | − | 13.1792i | 1.29015 | − | 0.739054i | ||||
\(319\) | −4.00446 | − | 10.2032i | −0.224207 | − | 0.571270i | ||||
\(320\) | 0.497919 | − | 2.18153i | 0.0278345 | − | 0.121951i | ||||
\(321\) | −7.60708 | + | 11.0767i | −0.424586 | + | 0.618244i | ||||
\(322\) | 12.6984 | + | 22.0148i | 0.707652 | + | 1.22684i | ||||
\(323\) | 5.51594 | + | 24.1669i | 0.306915 | + | 1.34468i | ||||
\(324\) | 0.822856 | + | 13.4171i | 0.0457142 | + | 0.745397i | ||||
\(325\) | −0.349207 | − | 0.604844i | −0.0193705 | − | 0.0335507i | ||||
\(326\) | −0.177762 | − | 0.778824i | −0.00984530 | − | 0.0431351i | ||||
\(327\) | −20.5368 | + | 4.61427i | −1.13569 | + | 0.255169i | ||||
\(328\) | −8.50413 | − | 1.28179i | −0.469562 | − | 0.0707751i | ||||
\(329\) | 8.31016 | − | 7.70443i | 0.458154 | − | 0.424759i | ||||
\(330\) | −4.55339 | − | 1.05552i | −0.250656 | − | 0.0581044i | ||||
\(331\) | 22.6285 | − | 20.9961i | 1.24377 | − | 1.15405i | 0.261781 | − | 0.965127i | \(-0.415690\pi\) |
0.981992 | − | 0.188925i | \(-0.0605003\pi\) | |||||||
\(332\) | −3.85065 | + | 9.81131i | −0.211332 | + | 0.538465i | ||||
\(333\) | 5.31525 | − | 6.57327i | 0.291274 | − | 0.360213i | ||||
\(334\) | 16.9502 | + | 43.1883i | 0.927472 | + | 2.36316i | ||||
\(335\) | 0.0631199 | − | 0.842277i | 0.00344861 | − | 0.0460185i | ||||
\(336\) | −21.2682 | + | 4.76953i | −1.16027 | + | 0.260199i | ||||
\(337\) | −0.0525174 | − | 0.700795i | −0.00286080 | − | 0.0381748i | 0.995591 | − | 0.0938038i | \(-0.0299026\pi\) |
−0.998452 | + | 0.0556290i | \(0.982284\pi\) | |||||||
\(338\) | −21.8535 | + | 10.5241i | −1.18867 | + | 0.572435i | ||||
\(339\) | −13.4856 | − | 28.2474i | −0.732435 | − | 1.53419i | ||||
\(340\) | −5.26072 | + | 2.53343i | −0.285303 | + | 0.137395i | ||||
\(341\) | 9.77714 | − | 1.47367i | 0.529462 | − | 0.0798035i | ||||
\(342\) | −21.3650 | + | 6.43207i | −1.15529 | + | 0.347807i | ||||
\(343\) | −4.09919 | − | 18.0609i | −0.221335 | − | 0.975198i | ||||
\(344\) | −3.75895 | + | 6.51069i | −0.202669 | + | 0.351033i | ||||
\(345\) | 3.81326 | − | 4.08191i | 0.205299 | − | 0.219762i | ||||
\(346\) | −0.550207 | + | 7.34200i | −0.0295793 | + | 0.394708i | ||||
\(347\) | 13.5548 | + | 12.5770i | 0.727661 | + | 0.675171i | 0.954314 | − | 0.298805i | \(-0.0965880\pi\) |
−0.226653 | + | 0.973975i | \(0.572778\pi\) | |||||||
\(348\) | 5.38506 | − | 11.0860i | 0.288669 | − | 0.594271i | ||||
\(349\) | −17.4578 | + | 11.9025i | −0.934496 | + | 0.637128i | −0.931841 | − | 0.362868i | \(-0.881798\pi\) |
−0.00265528 | + | 0.999996i | \(0.500845\pi\) | |||||||
\(350\) | 1.69304 | + | 22.7156i | 0.0904969 | + | 1.21420i | ||||
\(351\) | 0.125335 | − | 0.777833i | 0.00668990 | − | 0.0415177i | ||||
\(352\) | −5.88142 | − | 14.9856i | −0.313481 | − | 0.798736i | ||||
\(353\) | −8.70130 | − | 4.19033i | −0.463123 | − | 0.223028i | 0.187747 | − | 0.982217i | \(-0.439882\pi\) |
−0.650870 | + | 0.759189i | \(0.725596\pi\) | |||||||
\(354\) | −23.0684 | + | 24.6935i | −1.22607 | + | 1.31244i | ||||
\(355\) | −0.534246 | − | 2.34068i | −0.0283548 | − | 0.124231i | ||||
\(356\) | 5.33578 | − | 13.5953i | 0.282796 | − | 0.720552i | ||||
\(357\) | 22.2519 | + | 17.8838i | 1.17770 | + | 0.946510i | ||||
\(358\) | 2.74781 | + | 7.00130i | 0.145226 | + | 0.370030i | ||||
\(359\) | 16.5860 | − | 11.3081i | 0.875375 | − | 0.596821i | −0.0400998 | − | 0.999196i | \(-0.512768\pi\) |
0.915475 | + | 0.402375i | \(0.131815\pi\) | |||||||
\(360\) | 0.880502 | + | 1.54922i | 0.0464065 | + | 0.0816508i | ||||
\(361\) | 1.58334 | + | 2.74243i | 0.0833339 | + | 0.144339i | ||||
\(362\) | 13.5910 | + | 23.5403i | 0.714327 | + | 1.23725i | ||||
\(363\) | 9.21320 | − | 3.57995i | 0.483568 | − | 0.187899i | ||||
\(364\) | −0.599173 | 0.000242878i | −0.0314052 | 1.27303e-5i | ||||||
\(365\) | 4.91715 | − | 1.51674i | 0.257376 | − | 0.0793898i | ||||
\(366\) | −5.61038 | + | 8.16933i | −0.293259 | + | 0.427018i | ||||
\(367\) | −2.37496 | + | 2.97810i | −0.123972 | + | 0.155456i | −0.839944 | − | 0.542673i | \(-0.817412\pi\) |
0.715972 | + | 0.698129i | \(0.245984\pi\) | |||||||
\(368\) | 24.1710 | + | 3.64319i | 1.26000 | + | 0.189914i | ||||
\(369\) | −22.6251 | + | 15.2021i | −1.17782 | + | 0.791389i | ||||
\(370\) | −0.735456 | + | 3.22224i | −0.0382345 | + | 0.167516i | ||||
\(371\) | 21.4252 | + | 3.23821i | 1.11234 | + | 0.168120i | ||||
\(372\) | 8.66873 | + | 6.96125i | 0.449453 | + | 0.360924i | ||||
\(373\) | −26.9487 | −1.39535 | −0.697675 | − | 0.716414i | \(-0.745782\pi\) | ||||
−0.697675 | + | 0.716414i | \(0.745782\pi\) | |||||||
\(374\) | −13.3947 | + | 23.2003i | −0.692623 | + | 1.19966i | ||||
\(375\) | 9.73234 | − | 3.78167i | 0.502576 | − | 0.195285i | ||||
\(376\) | −0.302965 | − | 4.04279i | −0.0156242 | − | 0.208491i | ||||
\(377\) | −0.450383 | + | 0.564763i | −0.0231959 | + | 0.0290868i | ||||
\(378\) | −14.6986 | + | 21.0770i | −0.756017 | + | 1.08408i | ||||
\(379\) | 8.03763 | + | 10.0789i | 0.412865 | + | 0.517717i | 0.944168 | − | 0.329466i | \(-0.106869\pi\) |
−0.531302 | + | 0.847182i | \(0.678297\pi\) | |||||||
\(380\) | 2.73397 | − | 2.53675i | 0.140250 | − | 0.130133i | ||||
\(381\) | −22.7514 | + | 24.3543i | −1.16559 | + | 1.24771i | ||||
\(382\) | 33.9214 | − | 23.1272i | 1.73557 | − | 1.18329i | ||||
\(383\) | 10.0572 | − | 12.6113i | 0.513899 | − | 0.644409i | −0.455402 | − | 0.890286i | \(-0.650505\pi\) |
0.969301 | + | 0.245877i | \(0.0790760\pi\) | |||||||
\(384\) | −5.54690 | + | 11.4192i | −0.283064 | + | 0.582731i | ||||
\(385\) | −2.38046 | − | 2.98749i | −0.121320 | − | 0.152256i | ||||
\(386\) | −13.4548 | − | 6.47949i | −0.684832 | − | 0.329798i | ||||
\(387\) | 5.14469 | + | 23.2657i | 0.261519 | + | 1.18266i | ||||
\(388\) | −17.6726 | + | 5.45128i | −0.897192 | + | 0.276747i | ||||
\(389\) | −21.2663 | + | 10.2413i | −1.07825 | + | 0.519256i | −0.886756 | − | 0.462238i | \(-0.847047\pi\) |
−0.191491 | + | 0.981494i | \(0.561332\pi\) | |||||||
\(390\) | 0.0897990 | + | 0.294661i | 0.00454715 | + | 0.0149207i | ||||
\(391\) | −16.0077 | − | 27.7262i | −0.809547 | − | 1.40218i | ||||
\(392\) | −5.96723 | − | 2.87963i | −0.301391 | − | 0.145443i | ||||
\(393\) | 0.155835 | + | 1.05820i | 0.00786081 | + | 0.0533792i | ||||
\(394\) | 4.13724 | − | 10.5415i | 0.208431 | − | 0.531073i | ||||
\(395\) | −6.66083 | − | 4.54128i | −0.335143 | − | 0.228496i | ||||
\(396\) | −9.25760 | − | 4.53573i | −0.465212 | − | 0.227929i | ||||
\(397\) | 0.853863 | − | 11.3940i | 0.0428542 | − | 0.571849i | −0.933907 | − | 0.357517i | \(-0.883623\pi\) |
0.976761 | − | 0.214332i | \(-0.0687575\pi\) | |||||||
\(398\) | 11.6167 | − | 7.92011i | 0.582291 | − | 0.396999i | ||||
\(399\) | −16.9487 | − | 6.72616i | −0.848496 | − | 0.336729i | ||||
\(400\) | 18.1019 | + | 12.3416i | 0.905093 | + | 0.617082i | ||||
\(401\) | −15.1963 | + | 19.0555i | −0.758866 | + | 0.951588i | −0.999820 | − | 0.0189485i | \(-0.993968\pi\) |
0.240954 | + | 0.970536i | \(0.422540\pi\) | |||||||
\(402\) | 1.29846 | − | 4.15944i | 0.0647614 | − | 0.207454i | ||||
\(403\) | −0.406281 | − | 0.509460i | −0.0202383 | − | 0.0253780i | ||||
\(404\) | 13.5839 | + | 4.19007i | 0.675824 | + | 0.208464i | ||||
\(405\) | 5.37388 | + | 1.73769i | 0.267030 | + | 0.0863466i | ||||
\(406\) | 21.2306 | − | 10.2135i | 1.05366 | − | 0.506888i | ||||
\(407\) | 2.36849 | + | 6.03481i | 0.117402 | + | 0.299135i | ||||
\(408\) | 9.96470 | − | 2.23890i | 0.493326 | − | 0.110842i | ||||
\(409\) | 14.9913 | + | 4.62421i | 0.741273 | + | 0.228652i | 0.642316 | − | 0.766440i | \(-0.277973\pi\) |
0.0989560 | + | 0.995092i | \(0.468450\pi\) | |||||||
\(410\) | 5.32868 | − | 9.22954i | 0.263165 | − | 0.455814i | ||||
\(411\) | −3.67141 | − | 24.9309i | −0.181097 | − | 1.22975i | ||||
\(412\) | 6.68009 | + | 2.06054i | 0.329104 | + | 0.101515i | ||||
\(413\) | −27.3098 | + | 4.10496i | −1.34383 | + | 0.201992i | ||||
\(414\) | 23.9195 | − | 16.0718i | 1.17558 | − | 0.789884i | ||||
\(415\) | 3.24622 | + | 3.01205i | 0.159351 | + | 0.147856i | ||||
\(416\) | −0.661485 | + | 0.829476i | −0.0324320 | + | 0.0406684i | ||||
\(417\) | 0.00252565 | − | 0.745696i | 0.000123682 | − | 0.0365169i | ||||
\(418\) | 3.80765 | − | 16.6824i | 0.186238 | − | 0.815962i | ||||
\(419\) | −11.0919 | + | 3.42139i | −0.541874 | + | 0.167146i | −0.553596 | − | 0.832785i | \(-0.686745\pi\) |
0.0117223 | + | 0.999931i | \(0.496269\pi\) | |||||||
\(420\) | 0.656267 | − | 4.24476i | 0.0320225 | − | 0.207123i | ||||
\(421\) | −32.4913 | − | 10.0222i | −1.58353 | − | 0.488453i | −0.626737 | − | 0.779231i | \(-0.715610\pi\) |
−0.956791 | + | 0.290778i | \(0.906086\pi\) | |||||||
\(422\) | −12.7430 | + | 22.0715i | −0.620320 | + | 1.07443i | ||||
\(423\) | −9.35987 | − | 8.80343i | −0.455092 | − | 0.428037i | ||||
\(424\) | 5.68264 | − | 5.27272i | 0.275973 | − | 0.256066i | ||||
\(425\) | −2.14438 | − | 28.6147i | −0.104018 | − | 1.38802i | ||||
\(426\) | 0.0419505 | − | 12.3858i | 0.00203251 | − | 0.600095i | ||||
\(427\) | −7.74030 | + | 2.38413i | −0.374579 | + | 0.115376i | ||||
\(428\) | 4.23335 | − | 10.7864i | 0.204626 | − | 0.521380i | ||||
\(429\) | 0.471119 | + | 0.378322i | 0.0227458 | + | 0.0182656i | ||||
\(430\) | −5.80854 | − | 7.28368i | −0.280113 | − | 0.351250i | ||||
\(431\) | 0.814313 | + | 10.8663i | 0.0392241 | + | 0.523409i | 0.981863 | + | 0.189594i | \(0.0607171\pi\) |
−0.942639 | + | 0.333815i | \(0.891664\pi\) | |||||||
\(432\) | 7.04447 | + | 23.6896i | 0.338927 | + | 1.13977i | ||||
\(433\) | 8.63886 | − | 4.16026i | 0.415157 | − | 0.199929i | −0.214633 | − | 0.976695i | \(-0.568855\pi\) |
0.629790 | + | 0.776766i | \(0.283141\pi\) | |||||||
\(434\) | 4.72074 | + | 20.7216i | 0.226603 | + | 0.994671i | ||||
\(435\) | −3.50923 | − | 3.80783i | −0.168255 | − | 0.182572i | ||||
\(436\) | 16.3534 | − | 7.87540i | 0.783188 | − | 0.377163i | ||||
\(437\) | 14.9906 | + | 13.9092i | 0.717096 | + | 0.665367i | ||||
\(438\) | 26.4788 | − | 1.89415i | 1.26521 | − | 0.0905059i | ||||
\(439\) | −5.99388 | + | 15.2722i | −0.286072 | + | 0.728901i | 0.713528 | + | 0.700627i | \(0.247096\pi\) |
−0.999600 | + | 0.0282737i | \(0.990999\pi\) | |||||||
\(440\) | −1.36659 | −0.0651496 | ||||||||
\(441\) | −20.1134 | + | 6.03748i | −0.957781 | + | 0.287499i | ||||
\(442\) | 1.76551 | 0.0839767 | ||||||||
\(443\) | 3.43650 | − | 8.75607i | 0.163273 | − | 0.416013i | −0.825700 | − | 0.564110i | \(-0.809219\pi\) |
0.988973 | + | 0.148097i | \(0.0473146\pi\) | |||||||
\(444\) | −3.18506 | + | 6.55694i | −0.151156 | + | 0.311179i | ||||
\(445\) | −4.49823 | − | 4.17375i | −0.213236 | − | 0.197855i | ||||
\(446\) | −9.79534 | + | 4.71719i | −0.463823 | + | 0.223365i | ||||
\(447\) | 5.37319 | − | 17.2122i | 0.254143 | − | 0.814111i | ||||
\(448\) | 8.50143 | − | 4.08983i | 0.401655 | − | 0.193226i | ||||
\(449\) | 23.9538 | − | 11.5356i | 1.13045 | − | 0.544397i | 0.227345 | − | 0.973814i | \(-0.426995\pi\) |
0.903106 | + | 0.429418i | \(0.141281\pi\) | |||||||
\(450\) | 25.5656 | − | 3.67645i | 1.20517 | − | 0.173310i | ||||
\(451\) | −1.56218 | − | 20.8459i | −0.0735604 | − | 0.981595i | ||||
\(452\) | 16.8293 | + | 21.1032i | 0.791581 | + | 0.992612i | ||||
\(453\) | −31.1899 | + | 12.1194i | −1.46543 | + | 0.569419i | ||||
\(454\) | −17.3188 | + | 44.1275i | −0.812810 | + | 2.07101i | ||||
\(455\) | −0.0920675 | + | 0.234305i | −0.00431619 | + | 0.0109844i | ||||
\(456\) | −5.66054 | + | 3.24260i | −0.265079 | + | 0.151849i | ||||
\(457\) | 1.90964 | + | 25.4823i | 0.0893290 | + | 1.19201i | 0.844159 | + | 0.536093i | \(0.180100\pi\) |
−0.754830 | + | 0.655920i | \(0.772281\pi\) | |||||||
\(458\) | 6.55171 | − | 6.07909i | 0.306141 | − | 0.284057i | ||||
\(459\) | 18.5056 | − | 26.5588i | 0.863766 | − | 1.23966i | ||||
\(460\) | −2.40846 | + | 4.17158i | −0.112295 | + | 0.194501i | ||||
\(461\) | −6.40150 | − | 1.97460i | −0.298148 | − | 0.0919663i | 0.142073 | − | 0.989856i | \(-0.454623\pi\) |
−0.440220 | + | 0.897890i | \(0.645100\pi\) | |||||||
\(462\) | −8.48293 | − | 17.7872i | −0.394662 | − | 0.827537i | ||||
\(463\) | −13.8859 | + | 4.28325i | −0.645335 | + | 0.199059i | −0.600110 | − | 0.799917i | \(-0.704877\pi\) |
−0.0452247 | + | 0.998977i | \(0.514400\pi\) | |||||||
\(464\) | 5.04230 | − | 22.0917i | 0.234083 | − | 1.02558i | ||||
\(465\) | 4.05325 | − | 2.32188i | 0.187965 | − | 0.107674i | ||||
\(466\) | 1.88185 | − | 2.35977i | 0.0871751 | − | 0.109314i | ||||
\(467\) | −17.5503 | − | 16.2843i | −0.812132 | − | 0.753548i | 0.160217 | − | 0.987082i | \(-0.448781\pi\) |
−0.972349 | + | 0.233534i | \(0.924971\pi\) | |||||||
\(468\) | 0.0461810 | + | 0.677827i | 0.00213472 | + | 0.0313326i | ||||
\(469\) | 2.94310 | − | 2.00483i | 0.135900 | − | 0.0925743i | ||||
\(470\) | 4.80067 | + | 1.48081i | 0.221439 | + | 0.0683047i | ||||
\(471\) | 19.5991 | + | 7.76879i | 0.903079 | + | 0.357967i | ||||
\(472\) | −4.93998 | + | 8.55630i | −0.227381 | + | 0.393836i | ||||
\(473\) | −17.4618 | − | 5.38625i | −0.802894 | − | 0.247660i | ||||
\(474\) | −28.1844 | − | 30.5826i | −1.29455 | − | 1.40471i | ||||
\(475\) | 6.69617 | + | 17.0616i | 0.307242 | + | 0.782839i | ||||
\(476\) | −22.1753 | − | 10.6901i | −1.01640 | − | 0.489982i | ||||
\(477\) | 2.00203 | − | 24.4881i | 0.0916667 | − | 1.12123i | ||||
\(478\) | −3.31304 | − | 1.02194i | −0.151535 | − | 0.0467423i | ||||
\(479\) | −25.5668 | − | 32.0598i | −1.16818 | − | 1.46485i | −0.857613 | − | 0.514295i | \(-0.828054\pi\) |
−0.310564 | − | 0.950553i | \(-0.600518\pi\) | |||||||
\(480\) | −5.15406 | − | 5.59263i | −0.235250 | − | 0.255267i | ||||
\(481\) | 0.266385 | − | 0.334036i | 0.0121461 | − | 0.0152307i | ||||
\(482\) | 39.6588 | + | 27.0389i | 1.80641 | + | 1.23159i | ||||
\(483\) | 23.4782 | + | 1.84901i | 1.06829 | + | 0.0841328i | ||||
\(484\) | −7.04244 | + | 4.80145i | −0.320111 | + | 0.218248i | ||||
\(485\) | −0.580684 | + | 7.74870i | −0.0263675 | + | 0.351850i | ||||
\(486\) | 24.9827 | + | 14.9935i | 1.13324 | + | 0.680120i | ||||
\(487\) | 5.11962 | + | 3.49050i | 0.231992 | + | 0.158169i | 0.673737 | − | 0.738971i | \(-0.264688\pi\) |
−0.441745 | + | 0.897141i | \(0.645640\pi\) | |||||||
\(488\) | −1.05858 | + | 2.69722i | −0.0479197 | + | 0.122097i | ||||
\(489\) | −0.688180 | − | 0.272784i | −0.0311206 | − | 0.0123357i | ||||
\(490\) | 6.02331 | − | 5.57974i | 0.272106 | − | 0.252067i | ||||
\(491\) | −0.480040 | − | 0.831454i | −0.0216639 | − | 0.0375230i | 0.854990 | − | 0.518644i | \(-0.173563\pi\) |
−0.876654 | + | 0.481121i | \(0.840230\pi\) | |||||||
\(492\) | 16.0460 | − | 17.1764i | 0.723408 | − | 0.774371i | ||||
\(493\) | −26.7396 | + | 12.8771i | −1.20429 | + | 0.579957i | ||||
\(494\) | −1.07760 | + | 0.332395i | −0.0484834 | + | 0.0149551i | ||||
\(495\) | −3.19500 | + | 2.92450i | −0.143604 | + | 0.131447i | ||||
\(496\) | 18.4167 | + | 8.86900i | 0.826933 | + | 0.398230i | ||||
\(497\) | 6.31436 | − | 7.91138i | 0.283238 | − | 0.354874i | ||||
\(498\) | 12.8053 | + | 18.9193i | 0.573820 | + | 0.847794i | ||||
\(499\) | −10.2855 | + | 12.8977i | −0.460444 | + | 0.577379i | −0.956802 | − | 0.290739i | \(-0.906099\pi\) |
0.496358 | + | 0.868118i | \(0.334670\pi\) | |||||||
\(500\) | −7.43926 | + | 5.07200i | −0.332694 | + | 0.226827i | ||||
\(501\) | 41.8826 | + | 9.70880i | 1.87118 | + | 0.433757i | ||||
\(502\) | 29.1364 | − | 27.0346i | 1.30042 | − | 1.20661i | ||||
\(503\) | −19.8733 | − | 24.9203i | −0.886104 | − | 1.11114i | −0.993145 | − | 0.116885i | \(-0.962709\pi\) |
0.107041 | − | 0.994255i | \(-0.465862\pi\) | |||||||
\(504\) | −2.79489 | + | 6.97363i | −0.124494 | + | 0.310630i | ||||
\(505\) | 3.72389 | − | 4.66961i | 0.165711 | − | 0.207795i | ||||
\(506\) | 1.65155 | + | 22.0384i | 0.0734205 | + | 0.979728i | ||||
\(507\) | −3.42526 | + | 22.2143i | −0.152121 | + | 0.986573i | ||||
\(508\) | 14.3698 | − | 24.8893i | 0.637558 | − | 1.10428i | ||||
\(509\) | 22.6788 | 1.00522 | 0.502611 | − | 0.864513i | \(-0.332373\pi\) | ||||
0.502611 | + | 0.864513i | \(0.332373\pi\) | |||||||
\(510\) | −1.92867 | + | 12.5083i | −0.0854029 | + | 0.553876i | ||||
\(511\) | 17.9203 | + | 12.2285i | 0.792746 | + | 0.540956i | ||||
\(512\) | 5.40210 | − | 23.6682i | 0.238742 | − | 1.04600i | ||||
\(513\) | −6.29481 | + | 19.6945i | −0.277923 | + | 0.869535i | ||||
\(514\) | −21.7438 | − | 3.27736i | −0.959079 | − | 0.144558i | ||||
\(515\) | 1.83128 | − | 2.29636i | 0.0806959 | − | 0.101190i | ||||
\(516\) | −8.85239 | − | 18.5426i | −0.389705 | − | 0.816291i | ||||
\(517\) | 9.41650 | − | 2.90461i | 0.414137 | − | 0.127744i | ||||
\(518\) | −12.5571 | + | 6.04091i | −0.551727 | + | 0.265422i | ||||
\(519\) | 5.31975 | + | 4.27191i | 0.233511 | + | 0.187516i | ||||
\(520\) | 0.0450314 | + | 0.0779966i | 0.00197476 | + | 0.00342038i | ||||
\(521\) | 3.84035 | + | 6.65168i | 0.168249 | + | 0.291415i | 0.937804 | − | 0.347165i | \(-0.112856\pi\) |
−0.769556 | + | 0.638580i | \(0.779522\pi\) | |||||||
\(522\) | −13.2000 | − | 23.2250i | −0.577749 | − | 1.01653i | ||||
\(523\) | −21.3455 | + | 14.5531i | −0.933374 | + | 0.636363i | −0.931542 | − | 0.363635i | \(-0.881536\pi\) |
−0.00183207 | + | 0.999998i | \(0.500583\pi\) | |||||||
\(524\) | −0.336975 | − | 0.858598i | −0.0147208 | − | 0.0375080i | ||||
\(525\) | 18.2401 | + | 10.6234i | 0.796064 | + | 0.463642i | ||||
\(526\) | −2.43066 | + | 6.19322i | −0.105982 | + | 0.270037i | ||||
\(527\) | −5.95745 | − | 26.1013i | −0.259511 | − | 1.13699i | ||||
\(528\) | −18.4643 | − | 4.28021i | −0.803557 | − | 0.186272i | ||||
\(529\) | −3.07372 | − | 1.48023i | −0.133640 | − | 0.0643577i | ||||
\(530\) | 3.50958 | + | 8.94227i | 0.152447 | + | 0.388427i | ||||
\(531\) | 6.76111 | + | 30.5756i | 0.293407 | + | 1.32687i | ||||
\(532\) | 15.5476 | + | 2.34987i | 0.674073 | + | 0.101880i | ||||
\(533\) | −1.13828 | + | 0.776066i | −0.0493044 | + | 0.0336152i | ||||
\(534\) | −17.7441 | − | 26.2161i | −0.767862 | − | 1.13448i | ||||
\(535\) | −3.56884 | − | 3.31140i | −0.154294 | − | 0.143164i | ||||
\(536\) | 0.0952053 | − | 1.27043i | 0.00411224 | − | 0.0548741i | ||||
\(537\) | 6.78964 | + | 1.57390i | 0.292994 | + | 0.0679189i | ||||
\(538\) | −0.921041 | + | 1.59529i | −0.0397089 | + | 0.0687778i | ||||
\(539\) | 3.59643 | − | 15.6983i | 0.154909 | − | 0.676175i | ||||
\(540\) | −4.85272 | − | 0.413285i | −0.208828 | − | 0.0177850i | ||||
\(541\) | 22.4540 | − | 3.38440i | 0.965374 | − | 0.145507i | 0.352608 | − | 0.935771i | \(-0.385295\pi\) |
0.612766 | + | 0.790264i | \(0.290057\pi\) | |||||||
\(542\) | 12.7059 | − | 6.11885i | 0.545766 | − | 0.262827i | ||||
\(543\) | 25.1118 | + | 1.96742i | 1.07765 | + | 0.0844300i | ||||
\(544\) | −39.2729 | + | 18.9128i | −1.68381 | + | 0.810881i | ||||
\(545\) | −0.569904 | − | 7.60485i | −0.0244120 | − | 0.325756i | ||||
\(546\) | −0.735661 | + | 1.07027i | −0.0314834 | + | 0.0458035i | ||||
\(547\) | 2.25984 | − | 30.1554i | 0.0966236 | − | 1.28935i | −0.712482 | − | 0.701690i | \(-0.752429\pi\) |
0.809106 | − | 0.587663i | \(-0.199952\pi\) | |||||||
\(548\) | 7.93902 | + | 20.2283i | 0.339138 | + | 0.864109i | ||||
\(549\) | 3.29715 | + | 8.57128i | 0.140719 | + | 0.365813i | ||||
\(550\) | −7.23670 | + | 18.4388i | −0.308574 | + | 0.786234i | ||||
\(551\) | 13.8964 | − | 12.8940i | 0.592007 | − | 0.549303i | ||||
\(552\) | 5.75164 | − | 6.15684i | 0.244806 | − | 0.262052i | ||||
\(553\) | −2.52622 | − | 33.8945i | −0.107426 | − | 1.44134i | ||||
\(554\) | −39.7292 | − | 5.98821i | −1.68793 | − | 0.254415i | ||||
\(555\) | 2.07558 | + | 2.25219i | 0.0881033 | + | 0.0956001i | ||||
\(556\) | 0.143089 | + | 0.626915i | 0.00606834 | + | 0.0265871i | ||||
\(557\) | 0.398432 | + | 0.690104i | 0.0168821 | + | 0.0292406i | 0.874343 | − | 0.485308i | \(-0.161293\pi\) |
−0.857461 | + | 0.514549i | \(0.827959\pi\) | |||||||
\(558\) | 23.0751 | − | 6.94691i | 0.976848 | − | 0.294086i | ||||
\(559\) | 0.267980 | + | 1.17410i | 0.0113344 | + | 0.0496591i | ||||
\(560\) | −0.586954 | − | 7.87519i | −0.0248033 | − | 0.332788i | ||||
\(561\) | 10.6953 | + | 22.4028i | 0.451556 | + | 0.945847i | ||||
\(562\) | 3.07639 | − | 13.4785i | 0.129770 | − | 0.568558i | ||||
\(563\) | 7.78815 | + | 19.8439i | 0.328231 | + | 0.836319i | 0.995782 | + | 0.0917549i | \(0.0292476\pi\) |
−0.667550 | + | 0.744565i | \(0.732657\pi\) | |||||||
\(564\) | 9.57709 | + | 5.57267i | 0.403268 | + | 0.234652i | ||||
\(565\) | 10.8369 | − | 3.34275i | 0.455913 | − | 0.140631i | ||||
\(566\) | −9.77974 | + | 42.8479i | −0.411073 | + | 1.80103i | ||||
\(567\) | 8.38929 | + | 22.2850i | 0.352317 | + | 0.935881i | ||||
\(568\) | −0.805816 | − | 3.53051i | −0.0338113 | − | 0.148137i | ||||
\(569\) | 5.17585 | + | 8.96484i | 0.216983 | + | 0.375826i | 0.953884 | − | 0.300175i | \(-0.0970450\pi\) |
−0.736901 | + | 0.676000i | \(0.763712\pi\) | |||||||
\(570\) | −1.17777 | − | 7.99768i | −0.0493312 | − | 0.334986i | ||||
\(571\) | −39.5115 | − | 12.1877i | −1.65351 | − | 0.510039i | −0.678951 | − | 0.734184i | \(-0.737565\pi\) |
−0.974556 | + | 0.224144i | \(0.928041\pi\) | |||||||
\(572\) | −0.469436 | − | 0.226069i | −0.0196281 | − | 0.00945240i | ||||
\(573\) | 0.128855 | − | 38.0444i | 0.00538301 | − | 1.58933i | ||||
\(574\) | 44.4331 | − | 6.67880i | 1.85460 | − | 0.278768i | ||||
\(575\) | −14.7594 | − | 18.5077i | −0.615510 | − | 0.771825i | ||||
\(576\) | −5.28572 | − | 9.30005i | −0.220238 | − | 0.387502i | ||||
\(577\) | −1.89758 | + | 4.83495i | −0.0789972 | + | 0.201282i | −0.964916 | − | 0.262559i | \(-0.915434\pi\) |
0.885919 | + | 0.463840i | \(0.153529\pi\) | |||||||
\(578\) | 36.7257 | + | 17.6862i | 1.52759 | + | 0.735648i | ||||
\(579\) | −12.0079 | + | 6.87867i | −0.499033 | + | 0.285868i | ||||
\(580\) | 3.68944 | + | 2.51542i | 0.153196 | + | 0.104447i | ||||
\(581\) | −1.40278 | + | 18.6176i | −0.0581973 | + | 0.772387i | ||||
\(582\) | −11.9455 | + | 38.2656i | −0.495156 | + | 1.58616i | ||||
\(583\) | 15.5686 | + | 10.6145i | 0.644786 | + | 0.439608i | ||||
\(584\) | 7.41666 | − | 2.28774i | 0.306904 | − | 0.0946672i | ||||
\(585\) | 0.272193 | + | 0.0859840i | 0.0112538 | + | 0.00355500i | ||||
\(586\) | −33.3860 | + | 5.03213i | −1.37916 | + | 0.207875i | ||||
\(587\) | 12.8310 | − | 22.2240i | 0.529593 | − | 0.917281i | −0.469812 | − | 0.882767i | \(-0.655678\pi\) |
0.999404 | − | 0.0345146i | \(-0.0109885\pi\) | |||||||
\(588\) | 15.7206 | − | 8.98852i | 0.648307 | − | 0.370681i | ||||
\(589\) | 8.55032 | + | 14.8096i | 0.352310 | + | 0.610218i | ||||
\(590\) | −7.63354 | − | 9.57216i | −0.314268 | − | 0.394080i | ||||
\(591\) | −5.88202 | − | 8.69043i | −0.241954 | − | 0.357476i | ||||
\(592\) | −2.98233 | + | 13.0664i | −0.122573 | + | 0.537027i | ||||
\(593\) | −0.192758 | + | 2.57218i | −0.00791563 | + | 0.105627i | −0.999762 | − | 0.0218118i | \(-0.993057\pi\) |
0.991846 | + | 0.127439i | \(0.0406756\pi\) | |||||||
\(594\) | −19.4639 | + | 10.9753i | −0.798614 | + | 0.450323i | ||||
\(595\) | −7.58490 | + | 7.03204i | −0.310951 | + | 0.288286i | ||||
\(596\) | −1.16198 | + | 15.5055i | −0.0475965 | + | 0.635131i | ||||
\(597\) | 0.0441276 | − | 13.0286i | 0.00180602 | − | 0.533225i | ||||
\(598\) | 1.20340 | − | 0.820463i | 0.0492106 | − | 0.0335512i | ||||
\(599\) | 18.3985 | − | 2.77312i | 0.751741 | − | 0.113307i | 0.238016 | − | 0.971261i | \(-0.423503\pi\) |
0.513726 | + | 0.857955i | \(0.328265\pi\) | |||||||
\(600\) | 7.03887 | − | 2.73508i | 0.287361 | − | 0.111659i | ||||
\(601\) | −44.7682 | + | 6.74772i | −1.82613 | + | 0.275245i | −0.970282 | − | 0.241977i | \(-0.922204\pi\) |
−0.855851 | + | 0.517222i | \(0.826966\pi\) | |||||||
\(602\) | 8.75565 | − | 38.2895i | 0.356854 | − | 1.56056i | ||||
\(603\) | −2.49613 | − | 3.17391i | −0.101650 | − | 0.129252i | ||||
\(604\) | 23.8411 | − | 16.2546i | 0.970082 | − | 0.661391i | ||||
\(605\) | 0.796885 | + | 3.49138i | 0.0323980 | + | 0.141945i | ||||
\(606\) | 24.1550 | − | 19.1295i | 0.981229 | − | 0.777081i | ||||
\(607\) | −38.5931 | −1.56645 | −0.783223 | − | 0.621741i | \(-0.786426\pi\) | ||||
−0.783223 | + | 0.621741i | \(0.786426\pi\) | |||||||
\(608\) | 20.4099 | − | 18.9376i | 0.827731 | − | 0.768022i | ||||
\(609\) | 3.33573 | − | 21.5756i | 0.135170 | − | 0.874287i | ||||
\(610\) | −2.63210 | − | 2.44223i | −0.106570 | − | 0.0988829i | ||||
\(611\) | −0.476066 | − | 0.441725i | −0.0192596 | − | 0.0178703i | ||||
\(612\) | −10.3738 | + | 25.9144i | −0.419336 | + | 1.04753i | ||||
\(613\) | −11.1469 | − | 1.68013i | −0.450220 | − | 0.0678598i | −0.0799814 | − | 0.996796i | \(-0.525486\pi\) |
−0.370239 | + | 0.928937i | \(0.620724\pi\) | |||||||
\(614\) | −51.3273 | + | 15.8324i | −2.07140 | + | 0.638943i | ||||
\(615\) | −4.25480 | − | 8.91228i | −0.171570 | − | 0.359378i | ||||
\(616\) | −3.59051 | − | 4.50610i | −0.144666 | − | 0.181556i | ||||
\(617\) | −3.47494 | + | 3.22428i | −0.139896 | + | 0.129804i | −0.747017 | − | 0.664805i | \(-0.768515\pi\) |
0.607121 | + | 0.794609i | \(0.292324\pi\) | |||||||
\(618\) | 11.8786 | − | 9.40722i | 0.477827 | − | 0.378414i | ||||
\(619\) | 17.3987 | 0.699312 | 0.349656 | − | 0.936878i | \(-0.386298\pi\) | ||||
0.349656 | + | 0.936878i | \(0.386298\pi\) | |||||||
\(620\) | −2.95280 | + | 2.73980i | −0.118587 | + | 0.110033i | ||||
\(621\) | 0.271333 | − | 26.7028i | 0.0108882 | − | 1.07155i | ||||
\(622\) | −23.6772 | + | 29.6902i | −0.949368 | + | 1.19047i | ||||
\(623\) | 1.94381 | − | 25.7980i | 0.0778772 | − | 1.03358i | ||||
\(624\) | 0.364142 | + | 1.19487i | 0.0145773 | + | 0.0478331i | ||||
\(625\) | −4.28309 | − | 18.7654i | −0.171324 | − | 0.750617i | ||||
\(626\) | −42.9552 | + | 6.47445i | −1.71683 | + | 0.258771i | ||||
\(627\) | −10.7458 | − | 11.6602i | −0.429146 | − | 0.465662i | ||||
\(628\) | −17.9771 | − | 2.70961i | −0.717365 | − | 0.108125i | ||||
\(629\) | 15.8155 | − | 7.61633i | 0.630604 | − | 0.303683i | ||||
\(630\) | −6.77903 | − | 6.38119i | −0.270083 | − | 0.254233i | ||||
\(631\) | 29.8226 | + | 14.3618i | 1.18722 | + | 0.571735i | 0.920007 | − | 0.391903i | \(-0.128183\pi\) |
0.267213 | + | 0.963638i | \(0.413897\pi\) | |||||||
\(632\) | −10.0467 | − | 6.84972i | −0.399636 | − | 0.272467i | ||||
\(633\) | 10.1749 | + | 21.3128i | 0.404418 | + | 0.847109i | ||||
\(634\) | −0.446586 | + | 5.95927i | −0.0177362 | + | 0.236673i | ||||
\(635\) | −7.52867 | − | 9.44066i | −0.298766 | − | 0.374641i | ||||
\(636\) | 3.08682 | + | 20.9612i | 0.122400 | + | 0.831164i | ||||
\(637\) | −1.01447 | + | 0.312023i | −0.0401949 | + | 0.0123628i | ||||
\(638\) | 20.4872 | 0.811095 | ||||||||
\(639\) | −9.43923 | − | 6.52966i | −0.373410 | − | 0.258309i | ||||
\(640\) | −3.80032 | − | 2.59102i | −0.150221 | − | 0.102419i | ||||
\(641\) | −7.94367 | + | 34.8035i | −0.313756 | + | 1.37466i | 0.534544 | + | 0.845140i | \(0.320483\pi\) |
−0.848300 | + | 0.529515i | \(0.822374\pi\) | |||||||
\(642\) | −14.0779 | − | 20.7996i | −0.555612 | − | 0.820893i | ||||
\(643\) | 0.645320 | + | 8.61120i | 0.0254490 | + | 0.339593i | 0.995366 | + | 0.0961575i | \(0.0306553\pi\) |
−0.969917 | + | 0.243435i | \(0.921726\pi\) | |||||||
\(644\) | −20.0829 | + | 3.01869i | −0.791379 | + | 0.118953i | ||||
\(645\) | −8.61101 | + | 0.615984i | −0.339058 | + | 0.0242543i | ||||
\(646\) | −45.8149 | − | 6.90549i | −1.80257 | − | 0.271693i | ||||
\(647\) | 0.799031 | + | 10.6623i | 0.0314131 | + | 0.419179i | 0.990636 | + | 0.136529i | \(0.0435946\pi\) |
−0.959223 | + | 0.282650i | \(0.908786\pi\) | |||||||
\(648\) | 8.10555 | + | 2.62100i | 0.318416 | + | 0.102963i | ||||
\(649\) | −22.9482 | − | 7.07857i | −0.900794 | − | 0.277858i | ||||
\(650\) | 1.29084 | − | 0.194562i | 0.0506308 | − | 0.00763136i | ||||
\(651\) | 18.3053 | + | 7.26453i | 0.717441 | + | 0.284719i | ||||
\(652\) | 0.631227 | + | 0.0951421i | 0.0247207 | + | 0.00372605i | ||||
\(653\) | −35.6086 | − | 17.1482i | −1.39347 | − | 0.671062i | −0.421647 | − | 0.906760i | \(-0.638548\pi\) |
−0.971826 | + | 0.235698i | \(0.924262\pi\) | |||||||
\(654\) | 5.99544 | − | 38.8831i | 0.234440 | − | 1.52045i | ||||
\(655\) | −0.387531 | −0.0151421 | ||||||||
\(656\) | 21.6082 | − | 37.4265i | 0.843658 | − | 1.46126i | ||||
\(657\) | 12.4439 | − | 21.2202i | 0.485484 | − | 0.827880i | ||||
\(658\) | 7.73031 | + | 19.7200i | 0.301359 | + | 0.768766i | ||||
\(659\) | 15.3865 | + | 14.2765i | 0.599371 | + | 0.556135i | 0.920422 | − | 0.390927i | \(-0.127846\pi\) |
−0.321051 | + | 0.947062i | \(0.604036\pi\) | |||||||
\(660\) | 2.11447 | − | 3.07890i | 0.0823057 | − | 0.119846i | ||||
\(661\) | 4.03752 | + | 10.2874i | 0.157041 | + | 0.400135i | 0.987641 | − | 0.156736i | \(-0.0500971\pi\) |
−0.830599 | + | 0.556871i | \(0.812002\pi\) | |||||||
\(662\) | 21.0792 | + | 53.7090i | 0.819268 | + | 2.08746i | ||||
\(663\) | 0.926188 | − | 1.34863i | 0.0359702 | − | 0.0523765i | ||||
\(664\) | 4.89635 | + | 4.54315i | 0.190015 | + | 0.176308i | ||||
\(665\) | 3.30559 | − | 5.72010i | 0.128185 | − | 0.221816i | ||||
\(666\) | 7.80731 | + | 13.7367i | 0.302527 | + | 0.532287i | ||||
\(667\) | −12.2419 | + | 21.2036i | −0.474009 | + | 0.821008i | ||||
\(668\) | −37.0742 | −1.43444 | ||||||||
\(669\) | −1.53530 | + | 9.95707i | −0.0593580 | + | 0.384963i | ||||
\(670\) | 1.42238 | + | 0.684984i | 0.0549515 | + | 0.0264632i | ||||
\(671\) | −6.96428 | − | 1.04970i | −0.268853 | − | 0.0405231i | ||||
\(672\) | 4.89923 | − | 31.6884i | 0.188992 | − | 1.22241i | ||||
\(673\) | −6.33819 | + | 0.955329i | −0.244319 | + | 0.0368252i | −0.270060 | − | 0.962843i | \(-0.587044\pi\) |
0.0257409 | + | 0.999669i | \(0.491806\pi\) | |||||||
\(674\) | 1.25518 | + | 0.387173i | 0.0483479 | + | 0.0149133i | ||||
\(675\) | 10.6034 | − | 21.4576i | 0.408124 | − | 0.825904i | ||||
\(676\) | −1.44845 | − | 19.3282i | −0.0557095 | − | 0.743392i | ||||
\(677\) | 0.753981 | + | 0.113644i | 0.0289778 | + | 0.00436771i | 0.163515 | − | 0.986541i | \(-0.447717\pi\) |
−0.134537 | + | 0.990909i | \(0.542955\pi\) | |||||||
\(678\) | 58.3568 | − | 4.17452i | 2.24118 | − | 0.160322i | ||||
\(679\) | −27.0757 | + | 18.4438i | −1.03907 | + | 0.707808i | ||||
\(680\) | 0.276524 | + | 3.68996i | 0.0106042 | + | 0.141504i | ||||
\(681\) | 24.6225 | + | 36.3788i | 0.943538 | + | 1.39404i | ||||
\(682\) | −4.11242 | + | 18.0177i | −0.157473 | + | 0.689932i | ||||
\(683\) | −30.7727 | − | 20.9805i | −1.17748 | − | 0.802796i | −0.193509 | − | 0.981098i | \(-0.561987\pi\) |
−0.983976 | + | 0.178303i | \(0.942939\pi\) | |||||||
\(684\) | 1.45281 | − | 17.7702i | 0.0555495 | − | 0.679462i | ||||
\(685\) | 9.13010 | 0.348843 | ||||||||
\(686\) | 34.2236 | + | 5.20095i | 1.30666 | + | 0.198573i | ||||
\(687\) | −1.20665 | − | 8.19380i | −0.0460365 | − | 0.312613i | ||||
\(688\) | −23.5541 | − | 29.5359i | −0.897991 | − | 1.12604i | ||||
\(689\) | 0.0927998 | − | 1.23833i | 0.00353539 | − | 0.0471765i | ||||
\(690\) | 4.49821 | + | 9.42213i | 0.171244 | + | 0.358694i | ||||
\(691\) | −32.0907 | − | 21.8791i | −1.22079 | − | 0.832320i | −0.230736 | − | 0.973016i | \(-0.574113\pi\) |
−0.990053 | + | 0.140697i | \(0.955066\pi\) | |||||||
\(692\) | −5.30074 | − | 2.55270i | −0.201504 | − | 0.0970392i | ||||
\(693\) | −18.0374 | − | 2.85129i | −0.685185 | − | 0.108311i | ||||
\(694\) | −31.1390 | + | 14.9958i | −1.18202 | + | 0.569231i | ||||
\(695\) | 0.267156 | + | 0.0402673i | 0.0101338 | + | 0.00152743i | ||||
\(696\) | −5.29305 | − | 5.74345i | −0.200633 | − | 0.217705i | ||||
\(697\) | −55.9704 | + | 8.43618i | −2.12003 | + | 0.319543i | ||||
\(698\) | −8.78803 | − | 38.5029i | −0.332632 | − | 1.45736i | ||||
\(699\) | −0.815350 | − | 2.67544i | −0.0308394 | − | 0.101194i | ||||
\(700\) | −17.3914 | − | 5.37225i | −0.657332 | − | 0.203052i | ||||
\(701\) | −16.9120 | + | 21.2070i | −0.638758 | + | 0.800978i | −0.990847 | − | 0.134989i | \(-0.956900\pi\) |
0.352089 | + | 0.935967i | \(0.385472\pi\) | |||||||
\(702\) | 1.26777 | + | 0.749227i | 0.0478490 | + | 0.0282777i | ||||
\(703\) | −8.21921 | + | 7.62631i | −0.309993 | + | 0.287632i | ||||
\(704\) | 8.20374 | 0.309190 | ||||||||
\(705\) | 3.64960 | − | 2.89029i | 0.137452 | − | 0.108855i | ||||
\(706\) | 13.2326 | − | 12.2781i | 0.498016 | − | 0.462091i | ||||
\(707\) | 25.1812 | + | 0.0102073i | 0.947037 | + | 0.000383887i | ||||
\(708\) | −11.6337 | − | 24.3685i | −0.437223 | − | 0.915825i | ||||
\(709\) | −7.28039 | + | 2.24570i | −0.273421 | + | 0.0843391i | −0.428433 | − | 0.903573i | \(-0.640934\pi\) |
0.155013 | + | 0.987912i | \(0.450458\pi\) | |||||||
\(710\) | 4.43740 | + | 0.668830i | 0.166533 | + | 0.0251008i | ||||
\(711\) | −38.1469 | + | 5.48571i | −1.43062 | + | 0.205730i | ||||
\(712\) | −6.78479 | − | 6.29536i | −0.254271 | − | 0.235929i | ||||
\(713\) | −16.1904 | − | 15.0225i | −0.606336 | − | 0.562598i | ||||
\(714\) | −46.3112 | + | 26.5041i | −1.73315 | + | 0.991893i | ||||
\(715\) | −0.160475 | + | 0.148899i | −0.00600144 | + | 0.00556853i | ||||
\(716\) | −6.01014 | −0.224609 | ||||||||
\(717\) | −2.51866 | + | 1.99464i | −0.0940610 | + | 0.0744914i | ||||
\(718\) | 8.34916 | + | 36.5801i | 0.311588 | + | 1.36516i | ||||
\(719\) | −10.3103 | + | 7.02945i | −0.384509 | + | 0.262154i | −0.740113 | − | 0.672483i | \(-0.765228\pi\) |
0.355603 | + | 0.934637i | \(0.384275\pi\) | |||||||
\(720\) | −8.86322 | + | 1.27457i | −0.330313 | + | 0.0475006i | ||||
\(721\) | 12.3833 | + | 0.00501963i | 0.461177 | + | 0.000186941i | ||||
\(722\) | −5.85280 | + | 0.882168i | −0.217819 | + | 0.0328309i | ||||
\(723\) | 41.4595 | − | 16.1098i | 1.54189 | − | 0.599130i | ||||
\(724\) | −21.4783 | + | 3.23733i | −0.798235 | + | 0.120315i | ||||
\(725\) | −18.1314 | + | 12.3618i | −0.673382 | + | 0.459104i | ||||
\(726\) | −0.0625736 | + | 18.4748i | −0.00232232 | + | 0.685663i | ||||
\(727\) | −0.398294 | + | 5.31486i | −0.0147719 | + | 0.197117i | 0.984935 | + | 0.172923i | \(0.0553211\pi\) |
−0.999707 | + | 0.0241945i | \(0.992298\pi\) | |||||||
\(728\) | −0.138868 | + | 0.353408i | −0.00514678 | + | 0.0130982i | ||||
\(729\) | 24.5592 | − | 11.2181i | 0.909600 | − | 0.415486i | ||||
\(730\) | −0.718756 | + | 9.59114i | −0.0266024 | + | 0.354984i | ||||
\(731\) | −11.0102 | + | 48.2389i | −0.407227 | + | 1.78418i | ||||
\(732\) | −4.43888 | − | 6.55826i | −0.164066 | − | 0.242400i | ||||
\(733\) | 25.4037 | + | 31.8553i | 0.938308 | + | 1.17660i | 0.984094 | + | 0.177649i | \(0.0568493\pi\) |
−0.0457862 | + | 0.998951i | \(0.514579\pi\) | |||||||
\(734\) | −3.55986 | − | 6.16586i | −0.131397 | − | 0.227586i | ||||
\(735\) | −1.10240 | − | 7.52821i | −0.0406625 | − | 0.277682i | ||||
\(736\) | −17.9799 | + | 31.1421i | −0.662748 | + | 1.14791i | ||||
\(737\) | 3.06208 | − | 0.461534i | 0.112793 | − | 0.0170008i | ||||
\(738\) | −11.0004 | − | 49.7467i | −0.404929 | − | 1.83120i | ||||
\(739\) | 1.68372 | − | 0.519358i | 0.0619365 | − | 0.0191049i | −0.263632 | − | 0.964623i | \(-0.584920\pi\) |
0.325569 | + | 0.945518i | \(0.394444\pi\) | |||||||
\(740\) | −2.18217 | − | 1.48778i | −0.0802180 | − | 0.0546917i | ||||
\(741\) | −0.311400 | + | 0.997526i | −0.0114396 | + | 0.0366450i | ||||
\(742\) | −20.2647 | + | 35.0667i | −0.743942 | + | 1.28734i | ||||
\(743\) | 24.5405 | + | 16.7314i | 0.900303 | + | 0.613816i | 0.922525 | − | 0.385937i | \(-0.126122\pi\) |
−0.0222220 | + | 0.999753i | \(0.507074\pi\) | |||||||
\(744\) | 6.11362 | − | 3.50214i | 0.224136 | − | 0.128395i | ||||
\(745\) | 5.88599 | + | 2.83454i | 0.215646 | + | 0.103850i | ||||
\(746\) | 18.4023 | − | 46.8883i | 0.673757 | − | 1.71670i | ||||
\(747\) | 21.1697 | + | 0.143404i | 0.774559 | + | 0.00524688i | ||||
\(748\) | −13.3472 | − | 16.7368i | −0.488020 | − | 0.611958i | ||||
\(749\) | 1.54220 | − | 20.4679i | 0.0563507 | − | 0.747879i | ||||
\(750\) | −0.0660995 | + | 19.5158i | −0.00241361 | + | 0.712615i | ||||
\(751\) | 13.7228 | + | 6.60857i | 0.500753 | + | 0.241150i | 0.667170 | − | 0.744905i | \(-0.267505\pi\) |
−0.166417 | + | 0.986055i | \(0.553220\pi\) | |||||||
\(752\) | 19.4671 | + | 6.00480i | 0.709892 | + | 0.218973i | ||||
\(753\) | −5.36614 | − | 36.4390i | −0.195553 | − | 1.32791i | ||||
\(754\) | −0.675086 | − | 1.16928i | −0.0245852 | − | 0.0425828i | ||||
\(755\) | −2.69774 | − | 11.8196i | −0.0981807 | − | 0.430158i | ||||
\(756\) | −11.3870 | − | 17.0869i | −0.414143 | − | 0.621443i | ||||
\(757\) | −8.87208 | + | 38.8711i | −0.322461 | + | 1.41279i | 0.510698 | + | 0.859760i | \(0.329387\pi\) |
−0.833159 | + | 0.553034i | \(0.813470\pi\) | |||||||
\(758\) | −23.0249 | + | 7.10225i | −0.836304 | + | 0.257965i | ||||
\(759\) | 17.7011 | + | 10.2998i | 0.642508 | + | 0.373859i | ||||
\(760\) | −0.863493 | − | 2.20015i | −0.0313222 | − | 0.0798077i | ||||
\(761\) | 7.25537 | − | 31.7878i | 0.263007 | − | 1.15231i | −0.654964 | − | 0.755660i | \(-0.727316\pi\) |
0.917971 | − | 0.396648i | \(-0.129827\pi\) | |||||||
\(762\) | −26.8381 | − | 56.2162i | −0.972242 | − | 2.03650i | ||||
\(763\) | 23.5784 | − | 21.8597i | 0.853594 | − | 0.791376i | ||||
\(764\) | 7.30022 | + | 31.9843i | 0.264113 | + | 1.15715i | ||||
\(765\) | 8.54301 | + | 8.03513i | 0.308873 | + | 0.290511i | ||||
\(766\) | 15.0749 | + | 26.1105i | 0.544678 | + | 0.943409i | ||||
\(767\) | 0.352178 | + | 1.54299i | 0.0127164 | + | 0.0557142i | ||||
\(768\) | −24.4513 | − | 26.5319i | −0.882312 | − | 0.957389i | ||||
\(769\) | 28.1192 | + | 4.23829i | 1.01400 | + | 0.152837i | 0.634962 | − | 0.772543i | \(-0.281016\pi\) |
0.379042 | + | 0.925380i | \(0.376254\pi\) | |||||||
\(770\) | 6.82349 | − | 2.10174i | 0.245902 | − | 0.0757415i | ||||
\(771\) | −13.9103 | + | 14.8903i | −0.500969 | + | 0.536261i | ||||
\(772\) | 8.74780 | − | 8.11677i | 0.314840 | − | 0.292129i | ||||
\(773\) | −7.13525 | + | 18.1803i | −0.256637 | + | 0.653901i | −0.999886 | − | 0.0151145i | \(-0.995189\pi\) |
0.743249 | + | 0.669015i | \(0.233284\pi\) | |||||||
\(774\) | −43.9934 | − | 6.93603i | −1.58131 | − | 0.249311i | ||||
\(775\) | −7.23215 | − | 18.4272i | −0.259786 | − | 0.661925i | ||||
\(776\) | −0.875860 | + | 11.6875i | −0.0314416 | + | 0.419558i | ||||
\(777\) | −1.97296 | + | 12.7611i | −0.0707794 | + | 0.457804i | ||||
\(778\) | −3.29697 | − | 43.9950i | −0.118202 | − | 1.57730i | ||||
\(779\) | 32.5738 | − | 15.6867i | 1.16708 | − | 0.562035i | ||||
\(780\) | −0.245400 | − | 0.0192263i | −0.00878674 | − | 0.000688410i | ||||
\(781\) | 7.93056 | − | 3.81915i | 0.283778 | − | 0.136660i | ||||
\(782\) | 59.1723 | − | 8.91879i | 2.11600 | − | 0.318935i | ||||
\(783\) | −24.6658 | − | 2.10068i | −0.881483 | − | 0.0750722i | ||||
\(784\) | 24.4250 | − | 22.6263i | 0.872321 | − | 0.808080i | ||||
\(785\) | −3.81922 | + | 6.61509i | −0.136314 | + | 0.236103i | ||||
\(786\) | −1.94759 | − | 0.451470i | −0.0694682 | − | 0.0161034i | ||||
\(787\) | 2.49559 | − | 33.3013i | 0.0889580 | − | 1.18706i | −0.756855 | − | 0.653583i | \(-0.773265\pi\) |
0.845813 | − | 0.533479i | \(-0.179116\pi\) | |||||||
\(788\) | 6.63351 | + | 6.15499i | 0.236309 | + | 0.219263i | ||||
\(789\) | 3.45573 | + | 5.10570i | 0.123027 | + | 0.181768i | ||||
\(790\) | 12.4499 | − | 8.48817i | 0.442946 | − | 0.301996i | ||||
\(791\) | 39.4946 | + | 26.9504i | 1.40426 | + | 0.958246i | ||||
\(792\) | −4.81909 | + | 4.41110i | −0.171239 | + | 0.156741i | ||||
\(793\) | 0.169574 | + | 0.432068i | 0.00602175 | + | 0.0153432i | ||||
\(794\) | 19.2415 | + | 9.26621i | 0.682855 | + | 0.328846i | ||||
\(795\) | 8.67193 | + | 2.01024i | 0.307562 | + | 0.0712957i | ||||
\(796\) | 2.50002 | + | 10.9533i | 0.0886108 | + | 0.388229i | ||||
\(797\) | −6.07601 | + | 15.4814i | −0.215223 | + | 0.548380i | −0.997188 | − | 0.0749430i | \(-0.976123\pi\) |
0.781965 | + | 0.623323i | \(0.214218\pi\) | |||||||
\(798\) | 23.2766 | − | 24.8962i | 0.823982 | − | 0.881315i | ||||
\(799\) | −9.74818 | − | 24.8380i | −0.344866 | − | 0.878704i | ||||
\(800\) | −26.6298 | + | 18.1559i | −0.941506 | + | 0.641908i | ||||
\(801\) | −29.3345 | − | 0.198713i | −1.03648 | − | 0.00702116i | ||||
\(802\) | −22.7779 | − | 39.4525i | −0.804317 | − | 1.39312i | ||||
\(803\) | 9.43286 | + | 16.3382i | 0.332878 | + | 0.576562i | ||||
\(804\) | 2.71494 | + | 2.18018i | 0.0957485 | + | 0.0768889i | ||||
\(805\) | −1.90207 | + | 8.31799i | −0.0670393 | + | 0.293171i | ||||
\(806\) | 1.16385 | − | 0.359000i | 0.0409949 | − | 0.0126452i | ||||
\(807\) | 0.735426 | + | 1.54045i | 0.0258882 | + | 0.0542265i | ||||
\(808\) | 5.61683 | − | 7.04329i | 0.197600 | − | 0.247782i | ||||
\(809\) | 50.4846 | + | 7.60933i | 1.77494 | + | 0.267530i | 0.953203 | − | 0.302332i | \(-0.0977652\pi\) |
0.821741 | + | 0.569862i | \(0.193003\pi\) | |||||||
\(810\) | −6.69306 | + | 8.16346i | −0.235170 | + | 0.286835i | ||||
\(811\) | −4.75960 | + | 20.8532i | −0.167132 | + | 0.732254i | 0.820002 | + | 0.572361i | \(0.193972\pi\) |
−0.987134 | + | 0.159894i | \(0.948885\pi\) | |||||||
\(812\) | 1.39928 | + | 18.7742i | 0.0491050 | + | 0.658845i | ||||
\(813\) | 1.99149 | − | 12.9157i | 0.0698448 | − | 0.452974i | ||||
\(814\) | −12.1174 | −0.424714 | ||||||||
\(815\) | 0.134104 | − | 0.232274i | 0.00469745 | − | 0.00813622i | ||||
\(816\) | −7.82090 | + | 50.7220i | −0.273786 | + | 1.77563i | ||||
\(817\) | −2.36180 | − | 31.5160i | −0.0826289 | − | 1.10261i | ||||
\(818\) | −18.2827 | + | 22.9258i | −0.639241 | + | 0.801583i | ||||
\(819\) | 0.431628 | + | 1.12342i | 0.0150823 | + | 0.0392555i | ||||
\(820\) | 5.30976 | + | 6.65823i | 0.185425 | + | 0.232516i | ||||
\(821\) | 33.7919 | − | 31.3543i | 1.17934 | − | 1.09427i | 0.185596 | − | 0.982626i | \(-0.440579\pi\) |
0.993748 | − | 0.111645i | \(-0.0356119\pi\) | |||||||
\(822\) | 45.8846 | + | 10.6365i | 1.60041 | + | 0.370990i | ||||
\(823\) | 34.2081 | − | 23.3227i | 1.19242 | − | 0.812978i | 0.206215 | − | 0.978507i | \(-0.433885\pi\) |
0.986205 | + | 0.165528i | \(0.0529329\pi\) | |||||||
\(824\) | 2.76217 | − | 3.46365i | 0.0962247 | − | 0.120662i | ||||
\(825\) | 10.2886 | + | 15.2010i | 0.358203 | + | 0.529230i | ||||
\(826\) | 11.5066 | − | 50.3197i | 0.400366 | − | 1.75085i | ||||
\(827\) | 41.0705 | + | 19.7785i | 1.42816 | + | 0.687767i | 0.978655 | − | 0.205510i | \(-0.0658853\pi\) |
0.449507 | + | 0.893277i | \(0.351600\pi\) | |||||||
\(828\) | 4.97196 | + | 22.4846i | 0.172787 | + | 0.781393i | ||||
\(829\) | −32.5729 | + | 10.0474i | −1.13130 | + | 0.348961i | −0.803217 | − | 0.595687i | \(-0.796880\pi\) |
−0.328087 | + | 0.944648i | \(0.606404\pi\) | |||||||
\(830\) | −7.45743 | + | 3.59131i | −0.258851 | + | 0.124656i | ||||
\(831\) | −25.4162 | + | 27.2068i | −0.881680 | + | 0.943793i | ||||
\(832\) | −0.270327 | − | 0.468219i | −0.00937189 | − | 0.0162326i | ||||
\(833\) | −43.1152 | − | 6.53432i | −1.49385 | − | 0.226401i | ||||
\(834\) | 1.29572 | + | 0.513604i | 0.0448671 | + | 0.0177846i | ||||
\(835\) | −5.69086 | + | 14.5001i | −0.196940 | + | 0.501795i | ||||
\(836\) | 11.2976 | + | 7.70260i | 0.390737 | + | 0.266400i | ||||
\(837\) | 6.79866 | − | 21.2709i | 0.234996 | − | 0.735230i | ||||
\(838\) | 1.62134 | − | 21.6352i | 0.0560081 | − | 0.747376i | ||||
\(839\) | −33.5671 | + | 22.8857i | −1.15887 | + | 0.790101i | −0.981010 | − | 0.193956i | \(-0.937868\pi\) |
−0.177855 | + | 0.984057i | \(0.556916\pi\) | |||||||
\(840\) | −2.35212 | − | 1.36992i | −0.0811559 | − | 0.0472667i | ||||
\(841\) | −5.20794 | − | 3.55071i | −0.179584 | − | 0.122438i | ||||
\(842\) | 39.6249 | − | 49.6881i | 1.36556 | − | 1.71236i | ||||
\(843\) | −8.68207 | − | 9.42084i | −0.299026 | − | 0.324471i | ||||
\(844\) | −12.6978 | − | 15.9225i | −0.437075 | − | 0.548075i | ||||
\(845\) | −7.78177 | − | 2.40036i | −0.267701 | − | 0.0825748i | ||||
\(846\) | 21.7087 | − | 10.2738i | 0.746361 | − | 0.353220i | ||||
\(847\) | −9.41854 | + | 11.8007i | −0.323625 | + | 0.405476i | ||||
\(848\) | 14.2316 | + | 36.2616i | 0.488716 | + | 1.24523i | ||||
\(849\) | 27.6000 | + | 29.9486i | 0.947230 | + | 1.02783i | ||||
\(850\) | 51.2514 | + | 15.8090i | 1.75791 | + | 0.542243i | ||||
\(851\) | 7.24063 | − | 12.5411i | 0.248206 | − | 0.429905i | ||||
\(852\) | 9.20098 | + | 3.64713i | 0.315221 | + | 0.124949i | ||||
\(853\) | 25.7570 | + | 7.94497i | 0.881901 | + | 0.272031i | 0.702447 | − | 0.711736i | \(-0.252091\pi\) |
0.179454 | + | 0.983766i | \(0.442567\pi\) | |||||||
\(854\) | 1.13740 | − | 15.0955i | 0.0389211 | − | 0.516556i | ||||
\(855\) | −6.72710 | − | 3.29592i | −0.230062 | − | 0.112718i | ||||
\(856\) | −5.38297 | − | 4.99467i | −0.183986 | − | 0.170714i | ||||
\(857\) | −20.3325 | + | 25.4961i | −0.694545 | + | 0.870932i | −0.996603 | − | 0.0823578i | \(-0.973755\pi\) |
0.302058 | + | 0.953290i | \(0.402326\pi\) | |||||||
\(858\) | −0.979958 | + | 0.561362i | −0.0334552 | + | 0.0191646i | ||||
\(859\) | −6.28674 | + | 27.5440i | −0.214501 | + | 0.939789i | 0.746965 | + | 0.664864i | \(0.231510\pi\) |
−0.961465 | + | 0.274926i | \(0.911347\pi\) | |||||||
\(860\) | 7.11374 | − | 2.19430i | 0.242577 | − | 0.0748250i | ||||
\(861\) | 18.2079 | − | 37.4451i | 0.620523 | − | 1.27613i | ||||
\(862\) | −19.4624 | − | 6.00335i | −0.662891 | − | 0.204475i | ||||
\(863\) | −18.0190 | + | 31.2099i | −0.613375 | + | 1.06240i | 0.377292 | + | 0.926094i | \(0.376855\pi\) |
−0.990667 | + | 0.136303i | \(0.956478\pi\) | |||||||
\(864\) | −36.2270 | − | 3.08530i | −1.23247 | − | 0.104964i | ||||
\(865\) | −1.81204 | + | 1.68133i | −0.0616114 | + | 0.0571670i | ||||
\(866\) | 1.33930 | + | 17.8717i | 0.0455113 | + | 0.607306i | ||||
\(867\) | 32.7764 | − | 18.7758i | 1.11315 | − | 0.637658i | ||||
\(868\) | −16.7920 | − | 2.53795i | −0.569959 | − | 0.0861438i | ||||
\(869\) | 10.7980 | − | 27.5129i | 0.366298 | − | 0.933312i | ||||
\(870\) | 9.02162 | − | 3.50551i | 0.305862 | − | 0.118848i | ||||
\(871\) | −0.127242 | − | 0.159557i | −0.00431143 | − | 0.00540637i | ||||
\(872\) | −0.859601 | − | 11.4706i | −0.0291098 | − | 0.388443i | ||||
\(873\) | 22.9636 | + | 29.1991i | 0.777201 | + | 0.988239i | ||||
\(874\) | −34.4373 | + | 16.5841i | −1.16486 | + | 0.560967i | ||||
\(875\) | −9.94925 | + | 12.4656i | −0.336346 | + | 0.421414i | ||||
\(876\) | −6.32128 | + | 20.2493i | −0.213576 | + | 0.684161i | ||||
\(877\) | 28.2800 | − | 13.6189i | 0.954948 | − | 0.459879i | 0.109530 | − | 0.993984i | \(-0.465066\pi\) |
0.845418 | + | 0.534105i | \(0.179351\pi\) | |||||||
\(878\) | −22.4792 | − | 20.8576i | −0.758636 | − | 0.703911i | ||||
\(879\) | −13.6704 | + | 28.1427i | −0.461092 | + | 0.949229i | ||||
\(880\) | 2.50886 | − | 6.39248i | 0.0845738 | − | 0.215490i | ||||
\(881\) | 31.9150 | 1.07524 | 0.537622 | − | 0.843186i | \(-0.319323\pi\) | ||||
0.537622 | + | 0.843186i | \(0.319323\pi\) | |||||||
\(882\) | 3.23005 | − | 39.1183i | 0.108761 | − | 1.31718i | ||||
\(883\) | 44.6966 | 1.50416 | 0.752080 | − | 0.659071i | \(-0.229051\pi\) | ||||
0.752080 | + | 0.659071i | \(0.229051\pi\) | |||||||
\(884\) | −0.515424 | + | 1.31328i | −0.0173356 | + | 0.0441704i | ||||
\(885\) | −11.3165 | + | 0.809521i | −0.380401 | + | 0.0272118i | ||||
\(886\) | 12.8881 | + | 11.9584i | 0.432985 | + | 0.401751i | ||||
\(887\) | 23.7367 | − | 11.4310i | 0.797002 | − | 0.383816i | 0.00936547 | − | 0.999956i | \(-0.497019\pi\) |
0.787636 | + | 0.616140i | \(0.211305\pi\) | |||||||
\(888\) | 3.13064 | + | 3.39703i | 0.105057 | + | 0.113997i | ||||
\(889\) | 11.3485 | − | 49.6284i | 0.380617 | − | 1.66448i | ||||
\(890\) | 10.3336 | − | 4.97641i | 0.346384 | − | 0.166810i | ||||
\(891\) | −1.82699 | + | 20.6257i | −0.0612064 | + | 0.690987i | ||||
\(892\) | −0.649234 | − | 8.66343i | −0.0217380 | − | 0.290073i | ||||
\(893\) | 10.6262 | + | 13.3248i | 0.355592 | + | 0.445898i | ||||
\(894\) | 26.2786 | + | 21.1025i | 0.878889 | + | 0.705773i | ||||
\(895\) | −0.922550 | + | 2.35062i | −0.0308375 | + | 0.0785726i | ||||
\(896\) | −1.44133 | − | 19.3384i | −0.0481515 | − | 0.646051i | ||||
\(897\) | 0.00457128 | − | 1.34966i | 0.000152631 | − | 0.0450640i | ||||
\(898\) | 3.71362 | + | 49.5548i | 0.123925 | + | 1.65366i | ||||
\(899\) | −15.0087 | + | 13.9261i | −0.500569 | + | 0.464460i | ||||
\(900\) | −4.72889 | + | 20.0903i | −0.157630 | + | 0.669677i | ||||
\(901\) | 25.5102 | − | 44.1850i | 0.849868 | − | 1.47201i | ||||
\(902\) | 37.3368 | + | 11.5169i | 1.24318 | + | 0.383470i | ||||
\(903\) | −24.6552 | − | 26.7749i | −0.820474 | − | 0.891014i | ||||
\(904\) | 16.3456 | − | 5.04195i | 0.543647 | − | 0.167693i | ||||
\(905\) | −2.03075 | + | 8.89729i | −0.0675044 | + | 0.295756i | ||||
\(906\) | 0.211834 | − | 62.5436i | 0.00703771 | − | 2.07787i | ||||
\(907\) | 13.4721 | − | 16.8935i | 0.447335 | − | 0.560941i | −0.506125 | − | 0.862460i | \(-0.668922\pi\) |
0.953460 | + | 0.301520i | \(0.0974939\pi\) | |||||||
\(908\) | −27.7683 | − | 25.7652i | −0.921525 | − | 0.855050i | ||||
\(909\) | −1.94083 | − | 28.4868i | −0.0643734 | − | 0.944846i | ||||
\(910\) | −0.344800 | − | 0.320188i | −0.0114300 | − | 0.0106141i | ||||
\(911\) | 9.32990 | + | 2.87789i | 0.309114 | + | 0.0953489i | 0.445431 | − | 0.895316i | \(-0.353050\pi\) |
−0.136317 | + | 0.990665i | \(0.543527\pi\) | |||||||
\(912\) | −4.77593 | − | 32.4312i | −0.158147 | − | 1.07390i | ||||
\(913\) | −8.11777 | + | 14.0604i | −0.268659 | + | 0.465331i | ||||
\(914\) | −45.6410 | − | 14.0784i | −1.50967 | − | 0.465672i | ||||
\(915\) | −3.24636 | + | 0.729402i | −0.107321 | + | 0.0241133i | ||||
\(916\) | 2.60924 | + | 6.64824i | 0.0862118 | + | 0.219664i | ||||
\(917\) | −1.01818 | − | 1.27782i | −0.0336232 | − | 0.0421973i | ||||
\(918\) | 33.5732 | + | 50.3341i | 1.10808 | + | 1.66127i | ||||
\(919\) | −35.8790 | − | 11.0672i | −1.18354 | − | 0.365073i | −0.360336 | − | 0.932823i | \(-0.617338\pi\) |
−0.823201 | + | 0.567750i | \(0.807814\pi\) | |||||||
\(920\) | 1.90327 | + | 2.38663i | 0.0627491 | + | 0.0786848i | ||||
\(921\) | −14.8324 | + | 47.5134i | −0.488743 | + | 1.56562i | ||||
\(922\) | 7.80699 | − | 9.78965i | 0.257109 | − | 0.322405i | ||||
\(923\) | −0.479299 | − | 0.326780i | −0.0157763 | − | 0.0107561i | ||||
\(924\) | 15.7076 | − | 1.11724i | 0.516742 | − | 0.0367544i | ||||
\(925\) | 10.7240 | − | 7.31151i | 0.352603 | − | 0.240401i | ||||
\(926\) | 2.02975 | − | 27.0852i | 0.0667019 | − | 0.890075i | ||||
\(927\) | −0.954435 | − | 14.0088i | −0.0313478 | − | 0.460110i | ||||
\(928\) | 27.5428 | + | 18.7784i | 0.904137 | + | 0.616430i | ||||
\(929\) | −6.64059 | + | 16.9199i | −0.217871 | + | 0.555126i | −0.997465 | − | 0.0711594i | \(-0.977330\pi\) |
0.779594 | + | 0.626285i | \(0.215425\pi\) | |||||||
\(930\) | 1.27204 | + | 8.63782i | 0.0417117 | + | 0.283245i | ||||
\(931\) | 27.5460 | − | 4.12906i | 0.902784 | − | 0.135324i | ||||
\(932\) | 1.20593 | + | 2.08873i | 0.0395016 | + | 0.0684187i | ||||
\(933\) | 10.2586 | + | 33.6620i | 0.335852 | + | 1.10204i | ||||
\(934\) | 40.3177 | − | 19.4160i | 1.31924 | − | 0.635311i | ||||
\(935\) | −8.59469 | + | 2.65111i | −0.281076 | + | 0.0867006i | ||||
\(936\) | 0.410556 | + | 0.129692i | 0.0134194 | + | 0.00423911i | ||||
\(937\) | 41.1341 | + | 19.8092i | 1.34379 | + | 0.647137i | 0.960962 | − | 0.276681i | \(-0.0892345\pi\) |
0.382832 | + | 0.923818i | \(0.374949\pi\) | |||||||
\(938\) | 1.47848 | + | 6.48976i | 0.0482740 | + | 0.211898i | ||||
\(939\) | −17.5886 | + | 36.2090i | −0.573984 | + | 1.18163i | ||||
\(940\) | −2.50302 | + | 3.13869i | −0.0816395 | + | 0.102373i | ||||
\(941\) | −37.3247 | + | 25.4476i | −1.21675 | + | 0.829567i | −0.989537 | − | 0.144278i | \(-0.953914\pi\) |
−0.227214 | + | 0.973845i | \(0.572962\pi\) | |||||||
\(942\) | −26.9006 | + | 28.7957i | −0.876467 | + | 0.938214i | ||||
\(943\) | −34.2299 | + | 31.7607i | −1.11468 | + | 1.03427i | ||||
\(944\) | −30.9546 | − | 38.8158i | −1.00749 | − | 1.26335i | ||||
\(945\) | −8.43073 | + | 1.83076i | −0.274252 | + | 0.0595546i | ||||
\(946\) | 21.2956 | − | 26.7039i | 0.692381 | − | 0.868218i | ||||
\(947\) | −1.69037 | − | 22.5564i | −0.0549295 | − | 0.732983i | −0.954880 | − | 0.296991i | \(-0.904017\pi\) |
0.899951 | − | 0.435992i | \(-0.143602\pi\) | |||||||
\(948\) | 30.9771 | − | 12.0367i | 1.00609 | − | 0.390934i | ||||
\(949\) | 0.621657 | − | 1.07674i | 0.0201798 | − | 0.0349525i | ||||
\(950\) | −34.2582 | −1.11148 | ||||||||
\(951\) | 4.31787 | + | 3.46738i | 0.140017 | + | 0.112437i | ||||
\(952\) | −11.4405 | + | 10.6066i | −0.370789 | + | 0.343762i | ||||
\(953\) | 6.29993 | − | 27.6018i | 0.204075 | − | 0.894110i | −0.764349 | − | 0.644802i | \(-0.776940\pi\) |
0.968424 | − | 0.249308i | \(-0.0802032\pi\) | |||||||
\(954\) | 41.2400 | + | 20.2054i | 1.33520 | + | 0.654175i | ||||
\(955\) | 13.6299 | + | 2.05438i | 0.441055 | + | 0.0664783i | ||||
\(956\) | 1.72738 | − | 2.16607i | 0.0558675 | − | 0.0700557i | ||||
\(957\) | 10.7476 | − | 15.6497i | 0.347420 | − | 0.505882i | ||||
\(958\) | 73.2398 | − | 22.5915i | 2.36627 | − | 0.729898i | ||||
\(959\) | 23.9879 | + | 30.1050i | 0.774611 | + | 0.972140i | ||||
\(960\) | 3.61255 | − | 1.40372i | 0.116595 | − | 0.0453049i | ||||
\(961\) | 6.26530 | + | 10.8518i | 0.202107 | + | 0.350059i | ||||
\(962\) | 0.399288 | + | 0.691587i | 0.0128736 | + | 0.0222977i | ||||
\(963\) | −23.2736 | − | 0.157656i | −0.749982 | − | 0.00508040i | ||||
\(964\) | −31.6910 | + | 21.6066i | −1.02070 | + | 0.695901i | ||||
\(965\) | −1.83177 | − | 4.66726i | −0.0589666 | − | 0.150244i | ||||
\(966\) | −19.2495 | + | 39.5873i | −0.619343 | + | 1.27370i | ||||
\(967\) | −15.1088 | + | 38.4967i | −0.485868 | + | 1.23797i | 0.452324 | + | 0.891854i | \(0.350595\pi\) |
−0.938192 | + | 0.346117i | \(0.887500\pi\) | |||||||
\(968\) | 1.20196 | + | 5.26613i | 0.0386325 | + | 0.169260i | ||||
\(969\) | −29.3095 | + | 31.3744i | −0.941557 | + | 1.00789i | ||||
\(970\) | −13.0855 | − | 6.30165i | −0.420150 | − | 0.202334i | ||||
\(971\) | 14.4754 | + | 36.8827i | 0.464538 | + | 1.18362i | 0.950799 | + | 0.309809i | \(0.100265\pi\) |
−0.486261 | + | 0.873814i | \(0.661640\pi\) | |||||||
\(972\) | −18.4465 | + | 14.2063i | −0.591671 | + | 0.455666i | ||||
\(973\) | 0.569138 | + | 0.986699i | 0.0182457 | + | 0.0316321i | ||||
\(974\) | −9.56916 | + | 6.52414i | −0.306616 | + | 0.209047i | ||||
\(975\) | 0.528553 | − | 1.08811i | 0.0169272 | − | 0.0348473i | ||||
\(976\) | −10.6733 | − | 9.90342i | −0.341645 | − | 0.317001i | ||||
\(977\) | 0.457166 | − | 6.10046i | 0.0146260 | − | 0.195171i | −0.985104 | − | 0.171957i | \(-0.944991\pi\) |
0.999731 | − | 0.0232141i | \(-0.00738993\pi\) | |||||||
\(978\) | 0.944554 | − | 1.01110i | 0.0302035 | − | 0.0323313i | ||||
\(979\) | 11.2486 | − | 19.4832i | 0.359508 | − | 0.622687i | ||||
\(980\) | 2.39205 | + | 6.10941i | 0.0764114 | + | 0.195158i | ||||
\(981\) | −26.5567 | − | 24.9779i | −0.847890 | − | 0.797483i | ||||
\(982\) | 1.77446 | − | 0.267457i | 0.0566252 | − | 0.00853488i | ||||
\(983\) | 18.2227 | − | 8.77559i | 0.581214 | − | 0.279898i | −0.120087 | − | 0.992763i | \(-0.538317\pi\) |
0.701301 | + | 0.712865i | \(0.252603\pi\) | |||||||
\(984\) | −6.41762 | − | 13.4426i | −0.204586 | − | 0.428535i | ||||
\(985\) | 3.42551 | − | 1.64964i | 0.109146 | − | 0.0525619i | ||||
\(986\) | −4.14550 | − | 55.3179i | −0.132020 | − | 1.76168i | ||||
\(987\) | 19.1190 | + | 4.44014i | 0.608564 | + | 0.141331i | ||||
\(988\) | 0.0673418 | − | 0.898614i | 0.00214243 | − | 0.0285887i | ||||
\(989\) | 14.9127 | + | 37.9970i | 0.474197 | + | 1.20824i | ||||
\(990\) | −2.90662 | − | 7.55605i | −0.0923784 | − | 0.240147i | ||||
\(991\) | −15.1984 | + | 38.7250i | −0.482794 | + | 1.23014i | 0.457327 | + | 0.889299i | \(0.348807\pi\) |
−0.940121 | + | 0.340841i | \(0.889288\pi\) | |||||||
\(992\) | −22.0435 | + | 20.4534i | −0.699883 | + | 0.649397i | ||||
\(993\) | 52.0853 | + | 12.0739i | 1.65288 | + | 0.383153i | ||||
\(994\) | 9.45324 | + | 16.3888i | 0.299838 | + | 0.519822i | ||||
\(995\) | 4.66769 | + | 0.703541i | 0.147976 | + | 0.0223037i | ||||
\(996\) | −17.8116 | + | 4.00195i | −0.564381 | + | 0.126807i | ||||
\(997\) | −3.65555 | − | 16.0160i | −0.115773 | − | 0.507233i | −0.999249 | − | 0.0387564i | \(-0.987660\pi\) |
0.883476 | − | 0.468476i | \(-0.155197\pi\) | |||||||
\(998\) | −15.4172 | − | 26.7033i | −0.488021 | − | 0.845278i | ||||
\(999\) | 14.5889 | + | 1.24247i | 0.461572 | + | 0.0393101i |
(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 | 441.2.z.a.142.13 | yes | 648 | |
9.4 | even | 3 | 441.2.y.a.436.13 | yes | 648 | ||
49.39 | even | 21 | 441.2.y.a.88.13 | ✓ | 648 | ||
441.382 | even | 21 | inner | 441.2.z.a.382.13 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.y.a.88.13 | ✓ | 648 | 49.39 | even | 21 | ||
441.2.y.a.436.13 | yes | 648 | 9.4 | even | 3 | ||
441.2.z.a.142.13 | yes | 648 | 1.1 | even | 1 | trivial | |
441.2.z.a.382.13 | yes | 648 | 441.382 | even | 21 | inner |