Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(10,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 11, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.10");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.bf (of order \(66\), degree \(20\), 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: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(640\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{66})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{66}]$ |
Embedding invariants
Embedding label | 178.20 | ||
Character | \(\chi\) | \(=\) | 483.178 |
Dual form | 483.2.bf.a.19.20 |
$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{7}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.739640 | − | 0.0706270i | 0.523004 | − | 0.0499408i | 0.169784 | − | 0.985481i | \(-0.445693\pi\) |
0.353220 | + | 0.935540i | \(0.385087\pi\) | |||||||
\(3\) | 0.690079 | + | 0.723734i | 0.398417 | + | 0.417848i | ||||
\(4\) | −1.42178 | + | 0.274025i | −0.710889 | + | 0.137013i | ||||
\(5\) | −3.42445 | − | 1.76543i | −1.53146 | − | 0.789523i | −0.533061 | − | 0.846077i | \(-0.678958\pi\) |
−0.998400 | + | 0.0565538i | \(0.981989\pi\) | |||||||
\(6\) | 0.561525 | + | 0.486564i | 0.229242 | + | 0.198639i | ||||
\(7\) | 2.62322 | − | 0.344549i | 0.991484 | − | 0.130227i | ||||
\(8\) | −2.45806 | + | 0.721753i | −0.869057 | + | 0.255178i | ||||
\(9\) | −0.0475819 | + | 0.998867i | −0.0158606 | + | 0.332956i | ||||
\(10\) | −2.65755 | − | 1.06392i | −0.840390 | − | 0.336441i | ||||
\(11\) | 0.416487 | − | 4.36165i | 0.125576 | − | 1.31509i | −0.684609 | − | 0.728911i | \(-0.740027\pi\) |
0.810184 | − | 0.586176i | \(-0.199367\pi\) | |||||||
\(12\) | −1.17946 | − | 0.839891i | −0.340481 | − | 0.242456i | ||||
\(13\) | −5.31123 | + | 0.763640i | −1.47307 | + | 0.211796i | −0.831610 | − | 0.555360i | \(-0.812581\pi\) |
−0.641461 | + | 0.767155i | \(0.721671\pi\) | |||||||
\(14\) | 1.91590 | − | 0.440112i | 0.512047 | − | 0.117625i | ||||
\(15\) | −1.08544 | − | 3.69668i | −0.280260 | − | 0.954477i | ||||
\(16\) | 0.921346 | − | 0.368851i | 0.230336 | − | 0.0922128i | ||||
\(17\) | −1.85101 | − | 5.34814i | −0.448936 | − | 1.29712i | −0.911781 | − | 0.410676i | \(-0.865293\pi\) |
0.462845 | − | 0.886439i | \(-0.346828\pi\) | |||||||
\(18\) | 0.0353535 | + | 0.742162i | 0.00833291 | + | 0.174929i | ||||
\(19\) | 0.381157 | − | 1.10128i | 0.0874434 | − | 0.252651i | −0.892798 | − | 0.450458i | \(-0.851261\pi\) |
0.980241 | + | 0.197807i | \(0.0633819\pi\) | |||||||
\(20\) | 5.35258 | + | 1.57166i | 1.19687 | + | 0.351434i | ||||
\(21\) | 2.05959 | + | 1.66075i | 0.449440 | + | 0.362405i | ||||
\(22\) | − | 3.25546i | − | 0.694067i | ||||||
\(23\) | −3.27799 | − | 3.50069i | −0.683507 | − | 0.729944i | ||||
\(24\) | −2.21862 | − | 1.28092i | −0.452873 | − | 0.261466i | ||||
\(25\) | 5.70984 | + | 8.01835i | 1.14197 | + | 1.60367i | ||||
\(26\) | −3.87447 | + | 0.939935i | −0.759845 | + | 0.184336i | ||||
\(27\) | −0.755750 | + | 0.654861i | −0.145444 | + | 0.126028i | ||||
\(28\) | −3.63522 | + | 1.20870i | −0.686993 | + | 0.228423i | ||||
\(29\) | −1.18291 | + | 1.36515i | −0.219660 | + | 0.253501i | −0.854875 | − | 0.518834i | \(-0.826366\pi\) |
0.635215 | + | 0.772336i | \(0.280912\pi\) | |||||||
\(30\) | −1.06392 | − | 2.65755i | −0.194244 | − | 0.485199i | ||||
\(31\) | −7.88041 | − | 1.91177i | −1.41536 | − | 0.343363i | −0.546103 | − | 0.837718i | \(-0.683889\pi\) |
−0.869260 | + | 0.494354i | \(0.835404\pi\) | |||||||
\(32\) | 5.20952 | − | 2.68569i | 0.920921 | − | 0.474768i | ||||
\(33\) | 3.44408 | − | 2.70846i | 0.599538 | − | 0.471482i | ||||
\(34\) | −1.74680 | − | 3.82497i | −0.299574 | − | 0.655976i | ||||
\(35\) | −9.59136 | − | 3.45121i | −1.62124 | − | 0.583361i | ||||
\(36\) | −0.206064 | − | 1.43321i | −0.0343440 | − | 0.238868i | ||||
\(37\) | −0.105084 | − | 0.00500575i | −0.0172757 | − | 0.000822941i | 0.0389423 | − | 0.999241i | \(-0.487601\pi\) |
−0.0562180 | + | 0.998419i | \(0.517904\pi\) | |||||||
\(38\) | 0.204139 | − | 0.841471i | 0.0331156 | − | 0.136505i | ||||
\(39\) | −4.21784 | − | 3.31695i | −0.675396 | − | 0.531137i | ||||
\(40\) | 9.69172 | + | 1.86793i | 1.53240 | + | 0.295345i | ||||
\(41\) | 5.99008 | + | 9.32075i | 0.935494 | + | 1.45566i | 0.889616 | + | 0.456709i | \(0.150972\pi\) |
0.0458775 | + | 0.998947i | \(0.485392\pi\) | |||||||
\(42\) | 1.64065 | + | 1.08289i | 0.253158 | + | 0.167094i | ||||
\(43\) | −0.630678 | + | 2.14789i | −0.0961775 | + | 0.327551i | −0.993501 | − | 0.113823i | \(-0.963690\pi\) |
0.897324 | + | 0.441373i | \(0.145509\pi\) | |||||||
\(44\) | 0.603050 | + | 6.31543i | 0.0909132 | + | 0.952087i | ||||
\(45\) | 1.92637 | − | 3.33657i | 0.287166 | − | 0.497386i | ||||
\(46\) | −2.67177 | − | 2.35773i | −0.393931 | − | 0.347629i | ||||
\(47\) | 4.42578 | − | 2.55522i | 0.645566 | − | 0.372718i | −0.141190 | − | 0.989983i | \(-0.545093\pi\) |
0.786755 | + | 0.617265i | \(0.211759\pi\) | |||||||
\(48\) | 0.902751 | + | 0.412273i | 0.130301 | + | 0.0595064i | ||||
\(49\) | 6.76257 | − | 1.80766i | 0.966082 | − | 0.258237i | ||||
\(50\) | 4.78954 | + | 5.52742i | 0.677343 | + | 0.781695i | ||||
\(51\) | 2.59329 | − | 5.03028i | 0.363133 | − | 0.704380i | ||||
\(52\) | 7.34214 | − | 2.54114i | 1.01817 | − | 0.352393i | ||||
\(53\) | −1.31169 | + | 1.66795i | −0.180174 | + | 0.229110i | −0.867748 | − | 0.497004i | \(-0.834433\pi\) |
0.687574 | + | 0.726115i | \(0.258676\pi\) | |||||||
\(54\) | −0.512731 | + | 0.537737i | −0.0697739 | + | 0.0731768i | ||||
\(55\) | −9.12641 | + | 14.2010i | −1.23060 | + | 1.91486i | ||||
\(56\) | −6.19937 | + | 2.74024i | −0.828425 | + | 0.366180i | ||||
\(57\) | 1.06006 | − | 0.484114i | 0.140409 | − | 0.0641225i | ||||
\(58\) | −0.778507 | + | 1.09326i | −0.102223 | + | 0.143552i | ||||
\(59\) | −2.87353 | + | 7.17773i | −0.374102 | + | 0.934461i | 0.615173 | + | 0.788392i | \(0.289086\pi\) |
−0.989274 | + | 0.146069i | \(0.953338\pi\) | |||||||
\(60\) | 2.55624 | + | 4.95842i | 0.330009 | + | 0.640129i | ||||
\(61\) | 2.23950 | + | 2.13536i | 0.286738 | + | 0.273404i | 0.819772 | − | 0.572689i | \(-0.194100\pi\) |
−0.533034 | + | 0.846094i | \(0.678948\pi\) | |||||||
\(62\) | −5.96369 | − | 0.857449i | −0.757389 | − | 0.108896i | ||||
\(63\) | 0.219341 | + | 2.63664i | 0.0276344 | + | 0.332186i | ||||
\(64\) | 1.99370 | − | 1.28127i | 0.249213 | − | 0.160159i | ||||
\(65\) | 19.5362 | + | 6.76155i | 2.42317 | + | 0.838667i | ||||
\(66\) | 2.35609 | − | 2.24653i | 0.290015 | − | 0.276528i | ||||
\(67\) | 7.65327 | − | 5.44987i | 0.934996 | − | 0.665807i | −0.00751908 | − | 0.999972i | \(-0.502393\pi\) |
0.942515 | + | 0.334164i | \(0.108454\pi\) | |||||||
\(68\) | 4.09725 | + | 7.09665i | 0.496865 | + | 0.860596i | ||||
\(69\) | 0.271497 | − | 4.78814i | 0.0326844 | − | 0.576424i | ||||
\(70\) | −7.33790 | − | 1.87524i | −0.877047 | − | 0.224135i | ||||
\(71\) | 0.511216 | − | 1.11941i | 0.0606702 | − | 0.132849i | −0.876868 | − | 0.480731i | \(-0.840372\pi\) |
0.937539 | + | 0.347881i | \(0.113099\pi\) | |||||||
\(72\) | −0.603976 | − | 2.48962i | −0.0711792 | − | 0.293405i | ||||
\(73\) | −1.37375 | − | 7.12770i | −0.160786 | − | 0.834235i | −0.969323 | − | 0.245790i | \(-0.920953\pi\) |
0.808538 | − | 0.588445i | \(-0.200259\pi\) | |||||||
\(74\) | −0.0780776 | + | 0.00371929i | −0.00907634 | + | 0.000432359i | ||||
\(75\) | −1.86291 | + | 9.66571i | −0.215111 | + | 1.11610i | ||||
\(76\) | −0.240142 | + | 1.67022i | −0.0275462 | + | 0.191588i | ||||
\(77\) | −0.410265 | − | 11.5851i | −0.0467540 | − | 1.32024i | ||||
\(78\) | −3.35395 | − | 2.15545i | −0.379760 | − | 0.244057i | ||||
\(79\) | 2.80593 | + | 3.56803i | 0.315692 | + | 0.401435i | 0.917841 | − | 0.396949i | \(-0.129931\pi\) |
−0.602149 | + | 0.798384i | \(0.705689\pi\) | |||||||
\(80\) | −3.80628 | − | 0.363456i | −0.425555 | − | 0.0406356i | ||||
\(81\) | −0.995472 | − | 0.0950560i | −0.110608 | − | 0.0105618i | ||||
\(82\) | 5.08880 | + | 6.47093i | 0.561964 | + | 0.714595i | ||||
\(83\) | −11.1193 | − | 7.14593i | −1.22050 | − | 0.784367i | −0.238115 | − | 0.971237i | \(-0.576529\pi\) |
−0.982385 | + | 0.186870i | \(0.940166\pi\) | |||||||
\(84\) | −3.38337 | − | 1.79684i | −0.369156 | − | 0.196051i | ||||
\(85\) | −3.10306 | + | 21.5823i | −0.336574 | + | 2.34093i | ||||
\(86\) | −0.314775 | + | 1.63321i | −0.0339431 | + | 0.176113i | ||||
\(87\) | −1.80430 | + | 0.0859494i | −0.193441 | + | 0.00921474i | ||||
\(88\) | 2.12428 | + | 11.0218i | 0.226449 | + | 1.17493i | ||||
\(89\) | −1.96514 | − | 8.10042i | −0.208304 | − | 0.858643i | −0.975990 | − | 0.217816i | \(-0.930107\pi\) |
0.767685 | − | 0.640827i | \(-0.221408\pi\) | |||||||
\(90\) | 1.18917 | − | 2.60391i | 0.125349 | − | 0.274476i | ||||
\(91\) | −13.6694 | + | 3.83318i | −1.43295 | + | 0.401826i | ||||
\(92\) | 5.61985 | + | 4.07895i | 0.585910 | + | 0.425260i | ||||
\(93\) | −4.05450 | − | 7.02259i | −0.420432 | − | 0.728209i | ||||
\(94\) | 3.09301 | − | 2.20252i | 0.319020 | − | 0.227173i | ||||
\(95\) | −3.24948 | + | 3.09838i | −0.333390 | + | 0.317887i | ||||
\(96\) | 5.53870 | + | 1.91696i | 0.565292 | + | 0.195649i | ||||
\(97\) | −11.3932 | + | 7.32197i | −1.15681 | + | 0.743434i | −0.970983 | − | 0.239150i | \(-0.923131\pi\) |
−0.185822 | + | 0.982583i | \(0.559495\pi\) | |||||||
\(98\) | 4.87420 | − | 1.81463i | 0.492368 | − | 0.183306i | ||||
\(99\) | 4.33689 | + | 0.623551i | 0.435874 | + | 0.0626692i | ||||
\(100\) | −10.3154 | − | 9.83568i | −1.03154 | − | 0.983568i | ||||
\(101\) | −3.18895 | − | 6.18569i | −0.317312 | − | 0.615499i | 0.675202 | − | 0.737633i | \(-0.264057\pi\) |
−0.992514 | + | 0.122134i | \(0.961026\pi\) | |||||||
\(102\) | 1.56283 | − | 3.90375i | 0.154743 | − | 0.386529i | ||||
\(103\) | 1.11721 | − | 1.56890i | 0.110082 | − | 0.154588i | −0.755860 | − | 0.654734i | \(-0.772781\pi\) |
0.865941 | + | 0.500146i | \(0.166720\pi\) | |||||||
\(104\) | 12.5042 | − | 5.71048i | 1.22614 | − | 0.559958i | ||||
\(105\) | −4.12104 | − | 9.32321i | −0.402172 | − | 0.909852i | ||||
\(106\) | −0.852375 | + | 1.32632i | −0.0827900 | + | 0.128824i | ||||
\(107\) | 11.4933 | − | 12.0538i | 1.11110 | − | 1.16529i | 0.126228 | − | 0.992001i | \(-0.459713\pi\) |
0.984872 | − | 0.173286i | \(-0.0554385\pi\) | |||||||
\(108\) | 0.895060 | − | 1.13816i | 0.0861272 | − | 0.109520i | ||||
\(109\) | −10.9682 | + | 3.79615i | −1.05057 | + | 0.363605i | −0.797169 | − | 0.603757i | \(-0.793670\pi\) |
−0.253399 | + | 0.967362i | \(0.581549\pi\) | |||||||
\(110\) | −5.74728 | + | 11.1482i | −0.547982 | + | 1.06294i | ||||
\(111\) | −0.0688932 | − | 0.0795070i | −0.00653906 | − | 0.00754647i | ||||
\(112\) | 2.28981 | − | 1.28503i | 0.216366 | − | 0.121424i | ||||
\(113\) | 2.06399 | + | 0.942595i | 0.194164 | + | 0.0886718i | 0.510124 | − | 0.860101i | \(-0.329599\pi\) |
−0.315960 | + | 0.948772i | \(0.602327\pi\) | |||||||
\(114\) | 0.749873 | − | 0.432939i | 0.0702320 | − | 0.0405485i | ||||
\(115\) | 5.04509 | + | 17.7750i | 0.470457 | + | 1.65752i | ||||
\(116\) | 1.30775 | − | 2.26508i | 0.121421 | − | 0.210308i | ||||
\(117\) | −0.510057 | − | 5.34155i | −0.0471547 | − | 0.493827i | ||||
\(118\) | −1.61843 | + | 5.51188i | −0.148989 | + | 0.507410i | ||||
\(119\) | −6.69830 | − | 13.3916i | −0.614033 | − | 1.22761i | ||||
\(120\) | 5.33617 | + | 8.30324i | 0.487124 | + | 0.757979i | ||||
\(121\) | −8.04930 | − | 1.55138i | −0.731754 | − | 0.141034i | ||||
\(122\) | 1.80723 | + | 1.42122i | 0.163619 | + | 0.128672i | ||||
\(123\) | −2.61211 | + | 10.7673i | −0.235526 | + | 0.970853i | ||||
\(124\) | 11.7281 | + | 0.558677i | 1.05321 | + | 0.0501707i | ||||
\(125\) | −2.65575 | − | 18.4711i | −0.237538 | − | 1.65211i | ||||
\(126\) | 0.348451 | + | 1.93467i | 0.0310425 | + | 0.172354i | ||||
\(127\) | −0.791079 | − | 1.73222i | −0.0701969 | − | 0.153710i | 0.871281 | − | 0.490785i | \(-0.163290\pi\) |
−0.941478 | + | 0.337075i | \(0.890562\pi\) | |||||||
\(128\) | −7.83008 | + | 6.15764i | −0.692088 | + | 0.544264i | ||||
\(129\) | −1.98972 | + | 1.02577i | −0.175185 | + | 0.0903142i | ||||
\(130\) | 14.9273 | + | 3.62132i | 1.30921 | + | 0.317611i | ||||
\(131\) | −6.66773 | − | 16.6552i | −0.582562 | − | 1.45517i | −0.867898 | − | 0.496743i | \(-0.834529\pi\) |
0.285335 | − | 0.958428i | \(-0.407895\pi\) | |||||||
\(132\) | −4.15454 | + | 4.79459i | −0.361606 | + | 0.417316i | ||||
\(133\) | 0.620413 | − | 3.02023i | 0.0537967 | − | 0.261887i | ||||
\(134\) | 5.27575 | − | 4.57147i | 0.455756 | − | 0.394915i | ||||
\(135\) | 3.74414 | − | 0.908317i | 0.322244 | − | 0.0781755i | ||||
\(136\) | 8.40994 | + | 11.8101i | 0.721146 | + | 1.01271i | ||||
\(137\) | 7.94254 | + | 4.58563i | 0.678577 | + | 0.391776i | 0.799319 | − | 0.600907i | \(-0.205194\pi\) |
−0.120742 | + | 0.992684i | \(0.538527\pi\) | |||||||
\(138\) | −0.137362 | − | 3.56067i | −0.0116930 | − | 0.303105i | ||||
\(139\) | − | 13.3418i | − | 1.13164i | −0.824530 | − | 0.565818i | \(-0.808560\pi\) | ||
0.824530 | − | 0.565818i | \(-0.191440\pi\) | |||||||
\(140\) | 14.5825 | + | 2.27858i | 1.23245 | + | 0.192575i | ||||
\(141\) | 4.90344 | + | 1.43978i | 0.412944 | + | 0.121251i | ||||
\(142\) | 0.299055 | − | 0.864063i | 0.0250962 | − | 0.0725106i | ||||
\(143\) | 1.11867 | + | 23.4838i | 0.0935479 | + | 1.96381i | ||||
\(144\) | 0.324594 | + | 0.937853i | 0.0270495 | + | 0.0781544i | ||||
\(145\) | 6.46086 | − | 2.58654i | 0.536546 | − | 0.214800i | ||||
\(146\) | −1.51949 | − | 5.17491i | −0.125754 | − | 0.428278i | ||||
\(147\) | 5.97497 | + | 3.64688i | 0.492807 | + | 0.300789i | ||||
\(148\) | 0.150778 | − | 0.0216785i | 0.0123938 | − | 0.00178196i | ||||
\(149\) | −3.18828 | − | 2.27036i | −0.261194 | − | 0.185996i | 0.441956 | − | 0.897037i | \(-0.354285\pi\) |
−0.703151 | + | 0.711041i | \(0.748224\pi\) | |||||||
\(150\) | −0.695223 | + | 7.28071i | −0.0567648 | + | 0.594467i | ||||
\(151\) | 18.7985 | + | 7.52579i | 1.52980 | + | 0.612441i | 0.975524 | − | 0.219891i | \(-0.0705702\pi\) |
0.554278 | + | 0.832332i | \(0.312994\pi\) | |||||||
\(152\) | −0.142056 | + | 2.98212i | −0.0115223 | + | 0.241882i | ||||
\(153\) | 5.43016 | − | 1.59444i | 0.439002 | − | 0.128903i | ||||
\(154\) | −1.12167 | − | 8.53980i | −0.0903865 | − | 0.688156i | ||||
\(155\) | 23.6110 | + | 20.4590i | 1.89648 | + | 1.64331i | ||||
\(156\) | 6.90577 | + | 3.56017i | 0.552904 | + | 0.285042i | ||||
\(157\) | 0.0614297 | − | 0.0118396i | 0.00490263 | − | 0.000944904i | −0.186799 | − | 0.982398i | \(-0.559811\pi\) |
0.191702 | + | 0.981453i | \(0.438599\pi\) | |||||||
\(158\) | 2.32737 | + | 2.44088i | 0.185156 | + | 0.194186i | ||||
\(159\) | −2.11232 | + | 0.201702i | −0.167518 | + | 0.0159960i | ||||
\(160\) | −22.5811 | −1.78519 | ||||||||
\(161\) | −9.80504 | − | 8.05365i | −0.772745 | − | 0.634716i | ||||
\(162\) | −0.743004 | −0.0583759 | ||||||||
\(163\) | 12.8120 | − | 1.22340i | 1.00351 | − | 0.0958239i | 0.419659 | − | 0.907682i | \(-0.362150\pi\) |
0.583855 | + | 0.811858i | \(0.301544\pi\) | |||||||
\(164\) | −11.0707 | − | 11.6106i | −0.864476 | − | 0.906636i | ||||
\(165\) | −16.5757 | + | 3.19470i | −1.29041 | + | 0.248707i | ||||
\(166\) | −8.72895 | − | 4.50009i | −0.677498 | − | 0.349275i | ||||
\(167\) | −4.23319 | − | 3.66808i | −0.327574 | − | 0.283845i | 0.475510 | − | 0.879710i | \(-0.342264\pi\) |
−0.803084 | + | 0.595866i | \(0.796809\pi\) | |||||||
\(168\) | −6.26126 | − | 2.59571i | −0.483066 | − | 0.200263i | ||||
\(169\) | 15.1527 | − | 4.44922i | 1.16559 | − | 0.342248i | ||||
\(170\) | −0.770856 | + | 16.1823i | −0.0591220 | + | 1.24112i | ||||
\(171\) | 1.08190 | + | 0.433126i | 0.0827347 | + | 0.0331220i | ||||
\(172\) | 0.308108 | − | 3.22665i | 0.0234930 | − | 0.246030i | ||||
\(173\) | −0.0519161 | − | 0.0369693i | −0.00394711 | − | 0.00281072i | 0.578082 | − | 0.815979i | \(-0.303802\pi\) |
−0.582029 | + | 0.813168i | \(0.697741\pi\) | |||||||
\(174\) | −1.32846 | + | 0.191004i | −0.100710 | + | 0.0144800i | ||||
\(175\) | 17.7409 | + | 19.0666i | 1.34109 | + | 1.44130i | ||||
\(176\) | −1.22507 | − | 4.17221i | −0.0923432 | − | 0.314492i | ||||
\(177\) | −7.17773 | + | 2.87353i | −0.539511 | + | 0.215988i | ||||
\(178\) | −2.02560 | − | 5.85260i | −0.151825 | − | 0.438671i | ||||
\(179\) | −0.321524 | − | 6.74961i | −0.0240318 | − | 0.504489i | −0.978509 | − | 0.206205i | \(-0.933889\pi\) |
0.954477 | − | 0.298284i | \(-0.0964144\pi\) | |||||||
\(180\) | −1.82457 | + | 5.27174i | −0.135995 | + | 0.392932i | ||||
\(181\) | 4.47054 | + | 1.31267i | 0.332293 | + | 0.0975699i | 0.443623 | − | 0.896214i | \(-0.353693\pi\) |
−0.111330 | + | 0.993783i | \(0.535511\pi\) | |||||||
\(182\) | −9.83972 | + | 3.80060i | −0.729369 | + | 0.281719i | ||||
\(183\) | 3.09436i | 0.228742i | ||||||||
\(184\) | 10.5841 | + | 6.23902i | 0.780272 | + | 0.459947i | ||||
\(185\) | 0.351017 | + | 0.202660i | 0.0258073 | + | 0.0148998i | ||||
\(186\) | −3.49485 | − | 4.90783i | −0.256255 | − | 0.359860i | ||||
\(187\) | −24.0976 | + | 5.84602i | −1.76219 | + | 0.427504i | ||||
\(188\) | −5.59228 | + | 4.84574i | −0.407859 | + | 0.353412i | ||||
\(189\) | −1.75687 | + | 1.97824i | −0.127793 | + | 0.143896i | ||||
\(190\) | −2.18462 | + | 2.52118i | −0.158489 | + | 0.182906i | ||||
\(191\) | −0.533403 | − | 1.33238i | −0.0385957 | − | 0.0964074i | 0.907818 | − | 0.419365i | \(-0.137747\pi\) |
−0.946413 | + | 0.322957i | \(0.895323\pi\) | |||||||
\(192\) | 2.30311 | + | 0.558729i | 0.166213 | + | 0.0403228i | ||||
\(193\) | 7.58255 | − | 3.90907i | 0.545804 | − | 0.281381i | −0.163192 | − | 0.986594i | \(-0.552179\pi\) |
0.708995 | + | 0.705213i | \(0.249149\pi\) | |||||||
\(194\) | −7.90974 | + | 6.22029i | −0.567886 | + | 0.446591i | ||||
\(195\) | 8.58797 | + | 18.8050i | 0.614997 | + | 1.34666i | ||||
\(196\) | −9.11954 | + | 4.42320i | −0.651396 | + | 0.315943i | ||||
\(197\) | −0.293241 | − | 2.03954i | −0.0208926 | − | 0.145311i | 0.976705 | − | 0.214586i | \(-0.0688403\pi\) |
−0.997598 | + | 0.0692755i | \(0.977931\pi\) | |||||||
\(198\) | 3.25178 | + | 0.154901i | 0.231094 | + | 0.0110083i | ||||
\(199\) | 2.81034 | − | 11.5844i | 0.199220 | − | 0.821196i | −0.781200 | − | 0.624280i | \(-0.785392\pi\) |
0.980420 | − | 0.196916i | \(-0.0630925\pi\) | |||||||
\(200\) | −19.8224 | − | 15.5885i | −1.40166 | − | 1.10228i | ||||
\(201\) | 9.22562 | + | 1.77809i | 0.650725 | + | 0.125417i | ||||
\(202\) | −2.79555 | − | 4.34996i | −0.196694 | − | 0.306062i | ||||
\(203\) | −2.63266 | + | 3.98865i | −0.184777 | + | 0.279948i | ||||
\(204\) | −2.30866 | + | 7.86257i | −0.161639 | + | 0.550490i | ||||
\(205\) | −4.05764 | − | 42.4935i | −0.283398 | − | 2.96787i | ||||
\(206\) | 0.715523 | − | 1.23932i | 0.0498528 | − | 0.0863477i | ||||
\(207\) | 3.65269 | − | 3.10770i | 0.253880 | − | 0.216000i | ||||
\(208\) | −4.61181 | + | 2.66263i | −0.319772 | + | 0.184620i | ||||
\(209\) | −4.64465 | − | 2.12114i | −0.321277 | − | 0.146722i | ||||
\(210\) | −3.70655 | − | 6.60476i | −0.255777 | − | 0.455771i | ||||
\(211\) | −18.0515 | − | 20.8325i | −1.24272 | − | 1.43417i | −0.859991 | − | 0.510310i | \(-0.829531\pi\) |
−0.382726 | − | 0.923862i | \(-0.625015\pi\) | |||||||
\(212\) | 1.40787 | − | 2.73089i | 0.0966931 | − | 0.187558i | ||||
\(213\) | 1.16293 | − | 0.402495i | 0.0796828 | − | 0.0275785i | ||||
\(214\) | 7.64957 | − | 9.72722i | 0.522914 | − | 0.664939i | ||||
\(215\) | 5.95167 | − | 6.24194i | 0.405901 | − | 0.425696i | ||||
\(216\) | 1.38503 | − | 2.15515i | 0.0942396 | − | 0.146640i | ||||
\(217\) | −21.3308 | − | 2.29980i | −1.44803 | − | 0.156120i | ||||
\(218\) | −7.84444 | + | 3.58244i | −0.531293 | + | 0.242633i | ||||
\(219\) | 4.21056 | − | 5.91291i | 0.284524 | − | 0.399557i | ||||
\(220\) | 9.08431 | − | 22.6915i | 0.612464 | − | 1.52986i | ||||
\(221\) | 13.9152 | + | 26.9917i | 0.936038 | + | 1.81566i | ||||
\(222\) | −0.0565715 | − | 0.0539408i | −0.00379683 | − | 0.00362027i | ||||
\(223\) | 13.9337 | + | 2.00337i | 0.933071 | + | 0.134155i | 0.592051 | − | 0.805901i | \(-0.298318\pi\) |
0.341020 | + | 0.940056i | \(0.389228\pi\) | |||||||
\(224\) | 12.7404 | − | 8.84010i | 0.851251 | − | 0.590654i | ||||
\(225\) | −8.28096 | + | 5.32185i | −0.552064 | + | 0.354790i | ||||
\(226\) | 1.59318 | + | 0.551406i | 0.105977 | + | 0.0366790i | ||||
\(227\) | −4.68981 | + | 4.47173i | −0.311274 | + | 0.296799i | −0.829571 | − | 0.558402i | \(-0.811415\pi\) |
0.518297 | + | 0.855201i | \(0.326566\pi\) | |||||||
\(228\) | −1.37452 | + | 0.978788i | −0.0910295 | + | 0.0648218i | ||||
\(229\) | −11.4872 | − | 19.8964i | −0.759093 | − | 1.31479i | −0.943313 | − | 0.331903i | \(-0.892309\pi\) |
0.184220 | − | 0.982885i | \(-0.441024\pi\) | |||||||
\(230\) | 4.98694 | + | 12.7908i | 0.328829 | + | 0.843397i | ||||
\(231\) | 8.10139 | − | 8.29153i | 0.533032 | − | 0.545543i | ||||
\(232\) | 1.92236 | − | 4.20938i | 0.126209 | − | 0.276359i | ||||
\(233\) | 1.08740 | + | 4.48233i | 0.0712380 | + | 0.293647i | 0.996275 | − | 0.0862291i | \(-0.0274817\pi\) |
−0.925037 | + | 0.379876i | \(0.875967\pi\) | |||||||
\(234\) | −0.754516 | − | 3.91480i | −0.0493243 | − | 0.255919i | ||||
\(235\) | −19.6669 | + | 0.936850i | −1.28293 | + | 0.0611134i | ||||
\(236\) | 2.11864 | − | 10.9926i | 0.137912 | − | 0.715555i | ||||
\(237\) | −0.645991 | + | 4.49297i | −0.0419616 | + | 0.291850i | ||||
\(238\) | −5.90014 | − | 9.43187i | −0.382449 | − | 0.611377i | ||||
\(239\) | −6.48940 | − | 4.17048i | −0.419764 | − | 0.269766i | 0.313663 | − | 0.949535i | \(-0.398444\pi\) |
−0.733427 | + | 0.679768i | \(0.762080\pi\) | |||||||
\(240\) | −2.36359 | − | 3.00555i | −0.152569 | − | 0.194007i | ||||
\(241\) | 27.9320 | + | 2.66718i | 1.79926 | + | 0.171808i | 0.940324 | − | 0.340279i | \(-0.110522\pi\) |
0.858933 | + | 0.512088i | \(0.171128\pi\) | |||||||
\(242\) | −6.06315 | − | 0.578961i | −0.389754 | − | 0.0372170i | ||||
\(243\) | −0.618159 | − | 0.786053i | −0.0396549 | − | 0.0504253i | ||||
\(244\) | −3.76921 | − | 2.42232i | −0.241299 | − | 0.155073i | ||||
\(245\) | −26.3494 | − | 5.74860i | −1.68340 | − | 0.367264i | ||||
\(246\) | −1.17156 | + | 8.14839i | −0.0746960 | + | 0.519522i | ||||
\(247\) | −1.18343 | + | 6.14023i | −0.0753000 | + | 0.390693i | ||||
\(248\) | 20.7504 | − | 0.988462i | 1.31765 | − | 0.0627674i | ||||
\(249\) | −2.50143 | − | 12.9787i | −0.158522 | − | 0.822489i | ||||
\(250\) | −3.26886 | − | 13.4744i | −0.206741 | − | 0.852197i | ||||
\(251\) | −8.78585 | + | 19.2383i | −0.554558 | + | 1.21431i | 0.400063 | + | 0.916488i | \(0.368988\pi\) |
−0.954621 | + | 0.297824i | \(0.903739\pi\) | |||||||
\(252\) | −1.03436 | − | 3.68862i | −0.0651587 | − | 0.232361i | ||||
\(253\) | −16.6340 | + | 12.8394i | −1.04577 | + | 0.807208i | ||||
\(254\) | −0.707455 | − | 1.22535i | −0.0443897 | − | 0.0768851i | ||||
\(255\) | −17.7612 | + | 12.6477i | −1.11225 | + | 0.792028i | ||||
\(256\) | −8.78692 | + | 8.37831i | −0.549182 | + | 0.523644i | ||||
\(257\) | 13.0700 | + | 4.52357i | 0.815283 | + | 0.282172i | 0.702715 | − | 0.711472i | \(-0.251971\pi\) |
0.112569 | + | 0.993644i | \(0.464092\pi\) | |||||||
\(258\) | −1.39923 | + | 0.899230i | −0.0871122 | + | 0.0559836i | ||||
\(259\) | −0.277382 | + | 0.0230753i | −0.0172357 | + | 0.00143383i | ||||
\(260\) | −29.6290 | − | 4.26001i | −1.83751 | − | 0.264194i | ||||
\(261\) | −1.30731 | − | 1.24652i | −0.0809207 | − | 0.0771578i | ||||
\(262\) | −6.10802 | − | 11.8479i | −0.377355 | − | 0.731966i | ||||
\(263\) | 6.08044 | − | 15.1882i | 0.374936 | − | 0.936545i | −0.614148 | − | 0.789191i | \(-0.710500\pi\) |
0.989084 | − | 0.147354i | \(-0.0470757\pi\) | |||||||
\(264\) | −6.51094 | + | 9.14334i | −0.400721 | + | 0.562733i | ||||
\(265\) | 7.43646 | − | 3.39612i | 0.456818 | − | 0.208622i | ||||
\(266\) | 0.245573 | − | 2.27770i | 0.0150570 | − | 0.139655i | ||||
\(267\) | 4.50645 | − | 7.01217i | 0.275790 | − | 0.429138i | ||||
\(268\) | −9.38786 | + | 9.84570i | −0.573455 | + | 0.601422i | ||||
\(269\) | −11.3012 | + | 14.3706i | −0.689046 | + | 0.876193i | −0.997172 | − | 0.0751526i | \(-0.976056\pi\) |
0.308126 | + | 0.951345i | \(0.400298\pi\) | |||||||
\(270\) | 2.70516 | − | 0.936265i | 0.164631 | − | 0.0569792i | ||||
\(271\) | −10.7828 | + | 20.9158i | −0.655011 | + | 1.27054i | 0.294152 | + | 0.955759i | \(0.404963\pi\) |
−0.949163 | + | 0.314785i | \(0.898068\pi\) | |||||||
\(272\) | −3.67809 | − | 4.24474i | −0.223017 | − | 0.257375i | ||||
\(273\) | −12.2072 | − | 7.24783i | −0.738813 | − | 0.438659i | ||||
\(274\) | 6.19848 | + | 2.83075i | 0.374464 | + | 0.171012i | ||||
\(275\) | 37.3513 | − | 21.5648i | 2.25237 | − | 1.30041i | ||||
\(276\) | 0.926063 | + | 6.88207i | 0.0557425 | + | 0.414252i | ||||
\(277\) | 2.97428 | − | 5.15160i | 0.178707 | − | 0.309530i | −0.762731 | − | 0.646716i | \(-0.776142\pi\) |
0.941438 | + | 0.337186i | \(0.109475\pi\) | |||||||
\(278\) | −0.942292 | − | 9.86812i | −0.0565149 | − | 0.591851i | ||||
\(279\) | 2.28457 | − | 7.78052i | 0.136773 | − | 0.465808i | ||||
\(280\) | 26.0671 | + | 1.56071i | 1.55781 | + | 0.0932702i | ||||
\(281\) | 6.68992 | + | 10.4097i | 0.399087 | + | 0.620992i | 0.981400 | − | 0.191973i | \(-0.0614885\pi\) |
−0.582313 | + | 0.812965i | \(0.697852\pi\) | |||||||
\(282\) | 3.72846 | + | 0.718602i | 0.222027 | + | 0.0427921i | ||||
\(283\) | 6.25979 | + | 4.92275i | 0.372106 | + | 0.292627i | 0.786647 | − | 0.617403i | \(-0.211815\pi\) |
−0.414541 | + | 0.910031i | \(0.636058\pi\) | |||||||
\(284\) | −0.420090 | + | 1.73164i | −0.0249278 | + | 0.102754i | ||||
\(285\) | −4.48480 | − | 0.213637i | −0.265657 | − | 0.0126548i | ||||
\(286\) | 2.48600 | + | 17.2905i | 0.147000 | + | 1.02241i | ||||
\(287\) | 18.9248 | + | 22.3865i | 1.11709 | + | 1.32143i | ||||
\(288\) | 2.43477 | + | 5.33141i | 0.143470 | + | 0.314156i | ||||
\(289\) | −11.8135 | + | 9.29023i | −0.694911 | + | 0.546484i | ||||
\(290\) | 4.59603 | − | 2.36942i | 0.269888 | − | 0.139137i | ||||
\(291\) | −13.1614 | − | 3.19291i | −0.771533 | − | 0.187172i | ||||
\(292\) | 3.90634 | + | 9.75758i | 0.228601 | + | 0.571019i | ||||
\(293\) | −10.2993 | + | 11.8860i | −0.601692 | + | 0.694390i | −0.972123 | − | 0.234470i | \(-0.924664\pi\) |
0.370431 | + | 0.928860i | \(0.379210\pi\) | |||||||
\(294\) | 4.67689 | + | 2.27538i | 0.272762 | + | 0.132703i | ||||
\(295\) | 22.5120 | − | 19.5068i | 1.31070 | − | 1.13573i | ||||
\(296\) | 0.261915 | − | 0.0635400i | 0.0152235 | − | 0.00369319i | ||||
\(297\) | 2.54151 | + | 3.56905i | 0.147474 | + | 0.207098i | ||||
\(298\) | −2.51853 | − | 1.45407i | −0.145894 | − | 0.0842322i | ||||
\(299\) | 20.0834 | + | 16.0898i | 1.16145 | + | 0.930495i | ||||
\(300\) | − | 14.2530i | − | 0.822896i | ||||||
\(301\) | −0.914354 | + | 5.85170i | −0.0527025 | + | 0.337286i | ||||
\(302\) | 14.4357 | + | 4.23869i | 0.830679 | + | 0.243909i | ||||
\(303\) | 2.27617 | − | 6.57656i | 0.130763 | − | 0.377814i | ||||
\(304\) | −0.0550314 | − | 1.15525i | −0.00315626 | − | 0.0662581i | ||||
\(305\) | −3.89923 | − | 11.2661i | −0.223269 | − | 0.645094i | ||||
\(306\) | 3.90375 | − | 1.56283i | 0.223163 | − | 0.0893408i | ||||
\(307\) | 5.92268 | + | 20.1708i | 0.338025 | + | 1.15121i | 0.936676 | + | 0.350198i | \(0.113886\pi\) |
−0.598650 | + | 0.801011i | \(0.704296\pi\) | |||||||
\(308\) | 3.75791 | + | 16.3590i | 0.214127 | + | 0.932139i | ||||
\(309\) | 1.90642 | − | 0.274102i | 0.108453 | − | 0.0155931i | ||||
\(310\) | 18.9086 | + | 13.4647i | 1.07394 | + | 0.764746i | ||||
\(311\) | 2.57641 | − | 26.9814i | 0.146095 | − | 1.52998i | −0.563944 | − | 0.825813i | \(-0.690716\pi\) |
0.710039 | − | 0.704163i | \(-0.248678\pi\) | |||||||
\(312\) | 12.7617 | + | 5.10903i | 0.722492 | + | 0.289242i | ||||
\(313\) | 1.49722 | − | 31.4305i | 0.0846279 | − | 1.77656i | −0.414518 | − | 0.910041i | \(-0.636050\pi\) |
0.499146 | − | 0.866518i | \(-0.333647\pi\) | |||||||
\(314\) | 0.0445997 | − | 0.0130956i | 0.00251690 | − | 0.000739030i | ||||
\(315\) | 3.90368 | − | 9.41629i | 0.219947 | − | 0.530548i | ||||
\(316\) | −4.96714 | − | 4.30405i | −0.279423 | − | 0.242122i | ||||
\(317\) | −29.4397 | − | 15.1772i | −1.65350 | − | 0.852439i | −0.995002 | − | 0.0998578i | \(-0.968161\pi\) |
−0.658499 | − | 0.752581i | \(-0.728808\pi\) | |||||||
\(318\) | −1.54811 | + | 0.298374i | −0.0868137 | + | 0.0167320i | ||||
\(319\) | 5.46162 | + | 5.72798i | 0.305792 | + | 0.320705i | ||||
\(320\) | −9.08932 | + | 0.867925i | −0.508109 | + | 0.0485185i | ||||
\(321\) | 16.6550 | 0.929594 | ||||||||
\(322\) | −7.82100 | − | 5.26430i | −0.435847 | − | 0.293368i | ||||
\(323\) | −6.59533 | −0.366974 | ||||||||
\(324\) | 1.44139 | − | 0.137636i | 0.0800772 | − | 0.00764644i | ||||
\(325\) | −36.4495 | − | 38.2271i | −2.02185 | − | 2.12046i | ||||
\(326\) | 9.38986 | − | 1.80975i | 0.520056 | − | 0.100233i | ||||
\(327\) | −10.3164 | − | 5.31845i | −0.570496 | − | 0.294111i | ||||
\(328\) | −21.4513 | − | 18.5876i | −1.18445 | − | 1.02633i | ||||
\(329\) | 10.7294 | − | 8.22781i | 0.591530 | − | 0.453614i | ||||
\(330\) | −12.0344 | + | 3.53362i | −0.662471 | + | 0.194519i | ||||
\(331\) | −0.119173 | + | 2.50175i | −0.00655034 | + | 0.137509i | 0.993223 | + | 0.116223i | \(0.0370788\pi\) |
−0.999773 | + | 0.0212852i | \(0.993224\pi\) | |||||||
\(332\) | 17.7673 | + | 7.11296i | 0.975108 | + | 0.390375i | ||||
\(333\) | 0.0100002 | − | 0.104727i | 0.000548006 | − | 0.00573898i | ||||
\(334\) | −3.39010 | − | 2.41408i | −0.185498 | − | 0.132093i | ||||
\(335\) | −35.8296 | + | 5.15152i | −1.95758 | + | 0.281457i | ||||
\(336\) | 2.51016 | + | 0.770440i | 0.136941 | + | 0.0420310i | ||||
\(337\) | −0.207927 | − | 0.708135i | −0.0113265 | − | 0.0385746i | 0.953636 | − | 0.300963i | \(-0.0973080\pi\) |
−0.964962 | + | 0.262388i | \(0.915490\pi\) | |||||||
\(338\) | 10.8933 | − | 4.36101i | 0.592516 | − | 0.237208i | ||||
\(339\) | 0.742131 | + | 2.14425i | 0.0403070 | + | 0.116460i | ||||
\(340\) | −1.50222 | − | 31.5355i | −0.0814695 | − | 1.71025i | ||||
\(341\) | −11.6205 | + | 33.5754i | −0.629288 | + | 1.81821i | ||||
\(342\) | 0.830804 | + | 0.243946i | 0.0449247 | + | 0.0131911i | ||||
\(343\) | 17.1169 | − | 7.07192i | 0.924225 | − | 0.381848i | ||||
\(344\) | − | 5.73485i | − | 0.309203i | ||||||
\(345\) | −9.38284 | + | 15.9174i | −0.505155 | + | 0.856966i | ||||
\(346\) | −0.0410102 | − | 0.0236772i | −0.00220472 | − | 0.00127290i | ||||
\(347\) | 2.87243 | + | 4.03376i | 0.154200 | + | 0.216544i | 0.884448 | − | 0.466638i | \(-0.154535\pi\) |
−0.730248 | + | 0.683182i | \(0.760596\pi\) | |||||||
\(348\) | 2.54176 | − | 0.616625i | 0.136253 | − | 0.0330546i | ||||
\(349\) | 8.18250 | − | 7.09018i | 0.437999 | − | 0.379529i | −0.407764 | − | 0.913088i | \(-0.633691\pi\) |
0.845763 | + | 0.533559i | \(0.179146\pi\) | |||||||
\(350\) | 14.4685 | + | 12.8494i | 0.773373 | + | 0.686830i | ||||
\(351\) | 3.51389 | − | 4.05524i | 0.187557 | − | 0.216453i | ||||
\(352\) | −9.54435 | − | 23.8406i | −0.508715 | − | 1.27071i | ||||
\(353\) | −6.28736 | − | 1.52530i | −0.334642 | − | 0.0811833i | 0.0649171 | − | 0.997891i | \(-0.479322\pi\) |
−0.399559 | + | 0.916707i | \(0.630837\pi\) | |||||||
\(354\) | −5.10598 | + | 2.63232i | −0.271380 | + | 0.139906i | ||||
\(355\) | −3.72687 | + | 2.93084i | −0.197801 | + | 0.155553i | ||||
\(356\) | 5.01372 | + | 10.9785i | 0.265726 | + | 0.581860i | ||||
\(357\) | 5.06959 | − | 14.0890i | 0.268311 | − | 0.745672i | ||||
\(358\) | −0.714516 | − | 4.96957i | −0.0377634 | − | 0.262650i | ||||
\(359\) | 1.61444 | + | 0.0769051i | 0.0852067 | + | 0.00405890i | 0.0901420 | − | 0.995929i | \(-0.471268\pi\) |
−0.00493527 | + | 0.999988i | \(0.501571\pi\) | |||||||
\(360\) | −2.32696 | + | 9.59186i | −0.122642 | + | 0.505536i | ||||
\(361\) | 13.8675 | + | 10.9055i | 0.729867 | + | 0.573974i | ||||
\(362\) | 3.39930 | + | 0.655161i | 0.178663 | + | 0.0344345i | ||||
\(363\) | −4.43187 | − | 6.89612i | −0.232613 | − | 0.361953i | ||||
\(364\) | 18.3845 | − | 9.19570i | 0.963611 | − | 0.481986i | ||||
\(365\) | −7.87909 | + | 26.8337i | −0.412411 | + | 1.40454i | ||||
\(366\) | 0.218546 | + | 2.28871i | 0.0114236 | + | 0.119633i | ||||
\(367\) | 2.60710 | − | 4.51564i | 0.136090 | − | 0.235714i | −0.789923 | − | 0.613205i | \(-0.789880\pi\) |
0.926013 | + | 0.377491i | \(0.123213\pi\) | |||||||
\(368\) | −4.31139 | − | 2.01625i | −0.224747 | − | 0.105104i | ||||
\(369\) | −9.59521 | + | 5.53980i | −0.499507 | + | 0.288390i | ||||
\(370\) | 0.273939 | + | 0.125104i | 0.0142414 | + | 0.00650383i | ||||
\(371\) | −2.86616 | + | 4.82734i | −0.148804 | + | 0.250623i | ||||
\(372\) | 7.68897 | + | 8.87354i | 0.398654 | + | 0.460072i | ||||
\(373\) | −3.85972 | + | 7.48680i | −0.199849 | + | 0.387652i | −0.967369 | − | 0.253373i | \(-0.918460\pi\) |
0.767520 | + | 0.641025i | \(0.221490\pi\) | |||||||
\(374\) | −17.4107 | + | 6.02589i | −0.900285 | + | 0.311592i | ||||
\(375\) | 11.5355 | − | 14.6686i | 0.595692 | − | 0.757484i | ||||
\(376\) | −9.03460 | + | 9.47522i | −0.465924 | + | 0.488647i | ||||
\(377\) | 5.24021 | − | 8.15392i | 0.269884 | − | 0.419948i | ||||
\(378\) | −1.15973 | + | 1.58726i | −0.0596501 | + | 0.0816401i | ||||
\(379\) | 4.67854 | − | 2.13662i | 0.240320 | − | 0.109751i | −0.291614 | − | 0.956536i | \(-0.594192\pi\) |
0.531935 | + | 0.846785i | \(0.321465\pi\) | |||||||
\(380\) | 3.77101 | − | 5.29565i | 0.193449 | − | 0.271661i | ||||
\(381\) | 0.707760 | − | 1.76790i | 0.0362597 | − | 0.0905723i | ||||
\(382\) | −0.488628 | − | 0.947805i | −0.0250004 | − | 0.0484939i | ||||
\(383\) | 8.20311 | + | 7.82165i | 0.419159 | + | 0.399668i | 0.870091 | − | 0.492891i | \(-0.164060\pi\) |
−0.450932 | + | 0.892558i | \(0.648908\pi\) | |||||||
\(384\) | −9.85987 | − | 1.41763i | −0.503159 | − | 0.0723434i | ||||
\(385\) | −19.0477 | + | 40.3968i | −0.970758 | + | 2.05881i | ||||
\(386\) | 5.33226 | − | 3.42684i | 0.271405 | − | 0.174421i | ||||
\(387\) | −2.11545 | − | 0.732165i | −0.107534 | − | 0.0372180i | ||||
\(388\) | 14.1922 | − | 13.5323i | 0.720501 | − | 0.686996i | ||||
\(389\) | −17.7844 | + | 12.6642i | −0.901703 | + | 0.642100i | −0.933959 | − | 0.357380i | \(-0.883670\pi\) |
0.0322560 | + | 0.999480i | \(0.489731\pi\) | |||||||
\(390\) | 7.68014 | + | 13.3024i | 0.388899 | + | 0.673593i | ||||
\(391\) | −12.6546 | + | 24.0109i | −0.639970 | + | 1.21429i | ||||
\(392\) | −15.3182 | + | 9.32424i | −0.773684 | + | 0.470945i | ||||
\(393\) | 7.45266 | − | 16.3191i | 0.375937 | − | 0.823188i | ||||
\(394\) | −0.360939 | − | 1.48781i | −0.0181838 | − | 0.0749548i | ||||
\(395\) | −3.30967 | − | 17.1722i | −0.166528 | − | 0.864027i | ||||
\(396\) | −6.33697 | + | 0.301867i | −0.318445 | + | 0.0151694i | ||||
\(397\) | 2.99068 | − | 15.5171i | 0.150098 | − | 0.778782i | −0.826371 | − | 0.563126i | \(-0.809599\pi\) |
0.976469 | − | 0.215657i | \(-0.0691892\pi\) | |||||||
\(398\) | 1.26047 | − | 8.76676i | 0.0631817 | − | 0.439438i | ||||
\(399\) | 2.61398 | − | 1.63518i | 0.130863 | − | 0.0818615i | ||||
\(400\) | 8.21832 | + | 5.28159i | 0.410916 | + | 0.264080i | ||||
\(401\) | −5.70748 | − | 7.25765i | −0.285018 | − | 0.362430i | 0.622370 | − | 0.782723i | \(-0.286170\pi\) |
−0.907389 | + | 0.420293i | \(0.861927\pi\) | |||||||
\(402\) | 6.94921 | + | 0.663569i | 0.346595 | + | 0.0330958i | ||||
\(403\) | 43.3146 | + | 4.13604i | 2.15765 | + | 0.206031i | ||||
\(404\) | 6.22901 | + | 7.92083i | 0.309905 | + | 0.394076i | ||||
\(405\) | 3.24113 | + | 2.08295i | 0.161053 | + | 0.103502i | ||||
\(406\) | −1.66551 | + | 3.13610i | −0.0826581 | + | 0.155642i | ||||
\(407\) | −0.0655993 | + | 0.456253i | −0.00325164 | + | 0.0226156i | ||||
\(408\) | −2.74385 | + | 14.2365i | −0.135841 | + | 0.704810i | ||||
\(409\) | −19.3586 | + | 0.922162i | −0.957219 | + | 0.0455980i | −0.520374 | − | 0.853939i | \(-0.674207\pi\) |
−0.436845 | + | 0.899537i | \(0.643904\pi\) | |||||||
\(410\) | −6.00238 | − | 31.1433i | −0.296436 | − | 1.53806i | ||||
\(411\) | 2.16220 | + | 8.91273i | 0.106654 | + | 0.439632i | ||||
\(412\) | −1.15850 | + | 2.53677i | −0.0570753 | + | 0.124977i | ||||
\(413\) | −5.06482 | + | 19.8188i | −0.249224 | + | 0.975221i | ||||
\(414\) | 2.48219 | − | 2.55656i | 0.121993 | − | 0.125648i | ||||
\(415\) | 25.4618 | + | 44.1011i | 1.24987 | + | 2.16484i | ||||
\(416\) | −25.6181 | + | 18.2425i | −1.25603 | + | 0.894414i | ||||
\(417\) | 9.65592 | − | 9.20690i | 0.472852 | − | 0.450864i | ||||
\(418\) | −3.58518 | − | 1.24084i | −0.175357 | − | 0.0606916i | ||||
\(419\) | 14.1423 | − | 9.08869i | 0.690896 | − | 0.444012i | −0.147508 | − | 0.989061i | \(-0.547125\pi\) |
0.838404 | + | 0.545049i | \(0.183489\pi\) | |||||||
\(420\) | 8.41400 | + | 12.1263i | 0.410561 | + | 0.591701i | ||||
\(421\) | −37.8175 | − | 5.43734i | −1.84311 | − | 0.265000i | −0.869621 | − | 0.493720i | \(-0.835637\pi\) |
−0.973492 | + | 0.228720i | \(0.926546\pi\) | |||||||
\(422\) | −14.8229 | − | 14.1336i | −0.721570 | − | 0.688015i | ||||
\(423\) | 2.34174 | + | 4.54235i | 0.113859 | + | 0.220856i | ||||
\(424\) | 2.02037 | − | 5.04664i | 0.0981179 | − | 0.245087i | ||||
\(425\) | 32.3143 | − | 45.3791i | 1.56747 | − | 2.20121i | ||||
\(426\) | 0.831724 | − | 0.379836i | 0.0402972 | − | 0.0184031i | ||||
\(427\) | 6.61043 | + | 4.82989i | 0.319901 | + | 0.233735i | ||||
\(428\) | −13.0379 | + | 20.2873i | −0.630210 | + | 0.980625i | ||||
\(429\) | −16.2240 | + | 17.0153i | −0.783304 | + | 0.821506i | ||||
\(430\) | 3.96124 | − | 5.03713i | 0.191028 | − | 0.242912i | ||||
\(431\) | −21.3547 | + | 7.39092i | −1.02862 | + | 0.356008i | −0.788696 | − | 0.614784i | \(-0.789243\pi\) |
−0.239923 | + | 0.970792i | \(0.577122\pi\) | |||||||
\(432\) | −0.454760 | + | 0.882112i | −0.0218797 | + | 0.0424406i | ||||
\(433\) | −17.7304 | − | 20.4620i | −0.852069 | − | 0.983341i | 0.147915 | − | 0.989000i | \(-0.452744\pi\) |
−0.999984 | + | 0.00565961i | \(0.998198\pi\) | |||||||
\(434\) | −15.9395 | − | 0.194494i | −0.765120 | − | 0.00933602i | ||||
\(435\) | 6.33047 | + | 2.89103i | 0.303523 | + | 0.138614i | ||||
\(436\) | 14.5542 | − | 8.40286i | 0.697019 | − | 0.402424i | ||||
\(437\) | −5.10467 | + | 2.27567i | −0.244189 | + | 0.108860i | ||||
\(438\) | 2.69669 | − | 4.67080i | 0.128853 | − | 0.223180i | ||||
\(439\) | 2.52845 | + | 26.4791i | 0.120676 | + | 1.26378i | 0.829545 | + | 0.558439i | \(0.188600\pi\) |
−0.708869 | + | 0.705340i | \(0.750794\pi\) | |||||||
\(440\) | 12.1837 | − | 41.4939i | 0.580836 | − | 1.97814i | ||||
\(441\) | 1.48383 | + | 6.84092i | 0.0706587 | + | 0.325758i | ||||
\(442\) | 12.1986 | + | 18.9814i | 0.580227 | + | 0.902851i | ||||
\(443\) | −32.9624 | − | 6.35299i | −1.56609 | − | 0.301840i | −0.668857 | − | 0.743391i | \(-0.733216\pi\) |
−0.897236 | + | 0.441552i | \(0.854428\pi\) | |||||||
\(444\) | 0.119738 | + | 0.0941629i | 0.00568251 | + | 0.00446877i | ||||
\(445\) | −7.57117 | + | 31.2088i | −0.358908 | + | 1.47944i | ||||
\(446\) | 10.4474 | + | 0.497672i | 0.494700 | + | 0.0235655i | ||||
\(447\) | −0.557026 | − | 3.87420i | −0.0263464 | − | 0.183243i | ||||
\(448\) | 4.78845 | − | 4.04799i | 0.226233 | − | 0.191250i | ||||
\(449\) | 2.76991 | + | 6.06525i | 0.130720 | + | 0.286237i | 0.963663 | − | 0.267123i | \(-0.0860728\pi\) |
−0.832943 | + | 0.553360i | \(0.813346\pi\) | |||||||
\(450\) | −5.74906 | + | 4.52111i | −0.271013 | + | 0.213127i | ||||
\(451\) | 43.1486 | − | 22.2447i | 2.03179 | − | 1.04746i | ||||
\(452\) | −3.19284 | − | 0.774574i | −0.150178 | − | 0.0364329i | ||||
\(453\) | 7.52579 | + | 18.7985i | 0.353593 | + | 0.883232i | ||||
\(454\) | −3.15295 | + | 3.63869i | −0.147975 | + | 0.170772i | ||||
\(455\) | 53.5775 | + | 11.0058i | 2.51175 | + | 0.515962i | ||||
\(456\) | −2.25629 | + | 1.95509i | −0.105661 | + | 0.0915554i | ||||
\(457\) | −2.37252 | + | 0.575568i | −0.110982 | + | 0.0269239i | −0.290865 | − | 0.956764i | \(-0.593943\pi\) |
0.179883 | + | 0.983688i | \(0.442428\pi\) | |||||||
\(458\) | −9.90158 | − | 13.9048i | −0.462671 | − | 0.649730i | ||||
\(459\) | 4.90119 | + | 2.82970i | 0.228768 | + | 0.132079i | ||||
\(460\) | −12.0438 | − | 23.8896i | −0.561545 | − | 1.11386i | ||||
\(461\) | 40.5852i | 1.89024i | 0.326719 | + | 0.945122i | \(0.394057\pi\) | ||||
−0.326719 | + | 0.945122i | \(0.605943\pi\) | |||||||
\(462\) | 5.40650 | − | 6.70492i | 0.251533 | − | 0.311941i | ||||
\(463\) | 20.8524 | + | 6.12281i | 0.969092 | + | 0.284551i | 0.727715 | − | 0.685880i | \(-0.240583\pi\) |
0.241378 | + | 0.970431i | \(0.422401\pi\) | |||||||
\(464\) | −0.586329 | + | 1.69409i | −0.0272196 | + | 0.0786460i | ||||
\(465\) | 1.48655 | + | 31.2064i | 0.0689369 | + | 1.44716i | ||||
\(466\) | 1.12086 | + | 3.23851i | 0.0519228 | + | 0.150021i | ||||
\(467\) | 13.7543 | − | 5.50638i | 0.636472 | − | 0.254805i | −0.0309080 | − | 0.999522i | \(-0.509840\pi\) |
0.667380 | + | 0.744717i | \(0.267416\pi\) | |||||||
\(468\) | 2.18891 | + | 7.45474i | 0.101182 | + | 0.344596i | ||||
\(469\) | 18.1985 | − | 16.9331i | 0.840327 | − | 0.781900i | ||||
\(470\) | −14.4803 | + | 2.08195i | −0.667924 | + | 0.0960330i | ||||
\(471\) | 0.0509601 | + | 0.0362885i | 0.00234812 | + | 0.00167209i | ||||
\(472\) | 1.88277 | − | 19.7173i | 0.0866617 | − | 0.907562i | ||||
\(473\) | 9.10568 | + | 3.64537i | 0.418680 | + | 0.167614i | ||||
\(474\) | −0.160476 | + | 3.36880i | −0.00737090 | + | 0.154734i | ||||
\(475\) | 11.0068 | − | 3.23189i | 0.505027 | − | 0.148289i | ||||
\(476\) | 13.1931 | + | 17.2044i | 0.604707 | + | 0.788561i | ||||
\(477\) | −1.60365 | − | 1.38957i | −0.0734260 | − | 0.0636240i | ||||
\(478\) | −5.09436 | − | 2.62633i | −0.233011 | − | 0.120125i | ||||
\(479\) | −2.00573 | + | 0.386572i | −0.0916439 | + | 0.0176629i | −0.234867 | − | 0.972028i | \(-0.575465\pi\) |
0.143223 | + | 0.989690i | \(0.454253\pi\) | |||||||
\(480\) | −15.5828 | − | 16.3427i | −0.711252 | − | 0.745940i | ||||
\(481\) | 0.561947 | − | 0.0536594i | 0.0256226 | − | 0.00244666i | ||||
\(482\) | 20.8480 | 0.949599 | ||||||||
\(483\) | −0.937552 | − | 12.6539i | −0.0426601 | − | 0.575772i | ||||
\(484\) | 11.8694 | 0.539520 | ||||||||
\(485\) | 51.9419 | − | 4.95985i | 2.35856 | − | 0.225215i | ||||
\(486\) | −0.512731 | − | 0.537737i | −0.0232580 | − | 0.0243923i | ||||
\(487\) | 14.4661 | − | 2.78811i | 0.655521 | − | 0.126341i | 0.149363 | − | 0.988782i | \(-0.452278\pi\) |
0.506158 | + | 0.862441i | \(0.331065\pi\) | |||||||
\(488\) | −7.04602 | − | 3.63248i | −0.318959 | − | 0.164435i | ||||
\(489\) | 9.72671 | + | 8.42824i | 0.439857 | + | 0.381138i | ||||
\(490\) | −19.8950 | − | 2.39091i | −0.898767 | − | 0.108010i | ||||
\(491\) | −19.1475 | + | 5.62220i | −0.864113 | + | 0.253726i | −0.683609 | − | 0.729848i | \(-0.739591\pi\) |
−0.180503 | + | 0.983574i | \(0.557773\pi\) | |||||||
\(492\) | 0.763340 | − | 16.0245i | 0.0344140 | − | 0.722439i | ||||
\(493\) | 9.49056 | + | 3.79945i | 0.427433 | + | 0.171119i | ||||
\(494\) | −0.441647 | + | 4.62514i | −0.0198706 | + | 0.208095i | ||||
\(495\) | −13.7506 | − | 9.79178i | −0.618045 | − | 0.440108i | ||||
\(496\) | −7.96574 | + | 1.14530i | −0.357672 | + | 0.0514255i | ||||
\(497\) | 0.955342 | − | 3.11259i | 0.0428529 | − | 0.139619i | ||||
\(498\) | −2.76680 | − | 9.42286i | −0.123983 | − | 0.422248i | ||||
\(499\) | −26.2471 | + | 10.5078i | −1.17498 | + | 0.470392i | −0.875269 | − | 0.483637i | \(-0.839315\pi\) |
−0.299714 | + | 0.954029i | \(0.596891\pi\) | |||||||
\(500\) | 8.83745 | + | 25.5341i | 0.395223 | + | 1.14192i | ||||
\(501\) | −0.266521 | − | 5.59497i | −0.0119073 | − | 0.249965i | ||||
\(502\) | −5.13961 | + | 14.8499i | −0.229392 | + | 0.662785i | ||||
\(503\) | 21.2326 | + | 6.23445i | 0.946714 | + | 0.277980i | 0.718418 | − | 0.695611i | \(-0.244866\pi\) |
0.228296 | + | 0.973592i | \(0.426685\pi\) | |||||||
\(504\) | −2.44216 | − | 6.32273i | −0.108782 | − | 0.281637i | ||||
\(505\) | 26.8124i | 1.19314i | ||||||||
\(506\) | −11.3964 | + | 10.6714i | −0.506630 | + | 0.474400i | ||||
\(507\) | 13.6766 | + | 7.89618i | 0.607398 | + | 0.350682i | ||||
\(508\) | 1.59941 | + | 2.24606i | 0.0709624 | + | 0.0996528i | ||||
\(509\) | 20.1005 | − | 4.87632i | 0.890938 | − | 0.216139i | 0.235938 | − | 0.971768i | \(-0.424184\pi\) |
0.655000 | + | 0.755629i | \(0.272669\pi\) | |||||||
\(510\) | −12.2436 | + | 10.6091i | −0.542156 | + | 0.469781i | ||||
\(511\) | −6.05950 | − | 18.2242i | −0.268056 | − | 0.806192i | ||||
\(512\) | 7.13906 | − | 8.23891i | 0.315505 | − | 0.364112i | ||||
\(513\) | 0.433126 | + | 1.08190i | 0.0191230 | + | 0.0477669i | ||||
\(514\) | 9.98657 | + | 2.42271i | 0.440489 | + | 0.106861i | ||||
\(515\) | −6.59559 | + | 3.40026i | −0.290636 | + | 0.149833i | ||||
\(516\) | 2.54786 | − | 2.00366i | 0.112163 | − | 0.0882060i | ||||
\(517\) | −9.30171 | − | 20.3679i | −0.409089 | − | 0.895779i | ||||
\(518\) | −0.203533 | + | 0.0366581i | −0.00894274 | + | 0.00161066i | ||||
\(519\) | −0.00907027 | − | 0.0630851i | −0.000398141 | − | 0.00276913i | ||||
\(520\) | −52.9014 | − | 2.52001i | −2.31988 | − | 0.110510i | ||||
\(521\) | −4.58609 | + | 18.9041i | −0.200920 | + | 0.828204i | 0.778708 | + | 0.627386i | \(0.215875\pi\) |
−0.979629 | + | 0.200818i | \(0.935640\pi\) | |||||||
\(522\) | −1.05498 | − | 0.829645i | −0.0461752 | − | 0.0363126i | ||||
\(523\) | 35.5429 | + | 6.85033i | 1.55418 | + | 0.299544i | 0.892782 | − | 0.450489i | \(-0.148750\pi\) |
0.661400 | + | 0.750033i | \(0.269963\pi\) | |||||||
\(524\) | 14.0440 | + | 21.8529i | 0.613514 | + | 0.954647i | ||||
\(525\) | −1.55652 | + | 25.9971i | −0.0679321 | + | 1.13461i | ||||
\(526\) | 3.42464 | − | 11.6632i | 0.149321 | − | 0.508542i | ||||
\(527\) | 4.36232 | + | 45.6843i | 0.190026 | + | 1.99004i | ||||
\(528\) | 2.17417 | − | 3.76578i | 0.0946187 | − | 0.163884i | ||||
\(529\) | −1.50962 | + | 22.9504i | −0.0656356 | + | 0.997844i | ||||
\(530\) | 5.26044 | − | 3.03712i | 0.228499 | − | 0.131924i | ||||
\(531\) | −7.03287 | − | 3.21181i | −0.305201 | − | 0.139380i | ||||
\(532\) | −0.0544712 | + | 4.46411i | −0.00236163 | + | 0.193544i | ||||
\(533\) | −38.9324 | − | 44.9304i | −1.68635 | − | 1.94615i | ||||
\(534\) | 2.83790 | − | 5.50475i | 0.122808 | − | 0.238214i | ||||
\(535\) | −60.6384 | + | 20.9871i | −2.62163 | + | 0.907353i | ||||
\(536\) | −14.8788 | + | 18.9199i | −0.642665 | + | 0.817215i | ||||
\(537\) | 4.66305 | − | 4.89046i | 0.201225 | − | 0.211039i | ||||
\(538\) | −7.34385 | + | 11.4273i | −0.316616 | + | 0.492664i | ||||
\(539\) | −5.06784 | − | 30.2488i | −0.218287 | − | 1.30291i | ||||
\(540\) | −5.07443 | + | 2.31742i | −0.218369 | + | 0.0997257i | ||||
\(541\) | 20.2375 | − | 28.4196i | 0.870080 | − | 1.22186i | −0.103756 | − | 0.994603i | \(-0.533086\pi\) |
0.973836 | − | 0.227253i | \(-0.0729745\pi\) | |||||||
\(542\) | −6.49819 | + | 16.2317i | −0.279121 | + | 0.697211i | ||||
\(543\) | 2.13500 | + | 4.14133i | 0.0916217 | + | 0.177721i | ||||
\(544\) | −24.0063 | − | 22.8900i | −1.02926 | − | 0.981400i | ||||
\(545\) | 44.2620 | + | 6.36392i | 1.89598 | + | 0.272600i | ||||
\(546\) | −9.54081 | − | 4.49863i | −0.408309 | − | 0.192524i | ||||
\(547\) | 13.5864 | − | 8.73144i | 0.580912 | − | 0.373329i | −0.216938 | − | 0.976185i | \(-0.569607\pi\) |
0.797850 | + | 0.602856i | \(0.205971\pi\) | |||||||
\(548\) | −12.5491 | − | 4.34329i | −0.536071 | − | 0.185536i | ||||
\(549\) | −2.23950 | + | 2.13536i | −0.0955794 | + | 0.0911347i | ||||
\(550\) | 26.1035 | − | 18.5882i | 1.11305 | − | 0.792603i | ||||
\(551\) | 1.05254 | + | 1.82305i | 0.0448395 | + | 0.0776643i | ||||
\(552\) | 2.78850 | + | 11.9655i | 0.118686 | + | 0.509286i | ||||
\(553\) | 8.58993 | + | 8.39294i | 0.365281 | + | 0.356904i | ||||
\(554\) | 1.83605 | − | 4.02039i | 0.0780063 | − | 0.170810i | ||||
\(555\) | 0.0955576 | + | 0.393894i | 0.00405619 | + | 0.0167199i | ||||
\(556\) | 3.65599 | + | 18.9691i | 0.155049 | + | 0.804469i | ||||
\(557\) | −12.2049 | + | 0.581390i | −0.517137 | + | 0.0246343i | −0.304529 | − | 0.952503i | \(-0.598499\pi\) |
−0.212608 | + | 0.977137i | \(0.568196\pi\) | |||||||
\(558\) | 1.14024 | − | 5.91613i | 0.0482702 | − | 0.250450i | ||||
\(559\) | 1.70946 | − | 11.8896i | 0.0723026 | − | 0.502875i | ||||
\(560\) | −10.1099 | + | 0.358026i | −0.427223 | + | 0.0151294i | ||||
\(561\) | −20.8602 | − | 13.4061i | −0.880720 | − | 0.566004i | ||||
\(562\) | 5.68334 | + | 7.22695i | 0.239737 | + | 0.304851i | ||||
\(563\) | 18.4276 | + | 1.75962i | 0.776631 | + | 0.0741593i | 0.475841 | − | 0.879531i | \(-0.342144\pi\) |
0.300790 | + | 0.953690i | \(0.402750\pi\) | |||||||
\(564\) | −7.36614 | − | 0.703381i | −0.310170 | − | 0.0296177i | ||||
\(565\) | −5.40396 | − | 6.87170i | −0.227346 | − | 0.289095i | ||||
\(566\) | 4.97767 | + | 3.19895i | 0.209227 | + | 0.134462i | ||||
\(567\) | −2.64409 | + | 0.0936360i | −0.111042 | + | 0.00393234i | ||||
\(568\) | −0.448667 | + | 3.12055i | −0.0188256 | + | 0.130935i | ||||
\(569\) | 4.40278 | − | 22.8438i | 0.184574 | − | 0.957662i | −0.764979 | − | 0.644055i | \(-0.777251\pi\) |
0.949553 | − | 0.313607i | \(-0.101537\pi\) | |||||||
\(570\) | −3.33222 | + | 0.158733i | −0.139572 | + | 0.00664861i | ||||
\(571\) | −0.642056 | − | 3.33130i | −0.0268692 | − | 0.139411i | 0.966017 | − | 0.258479i | \(-0.0832213\pi\) |
−0.992886 | + | 0.119068i | \(0.962009\pi\) | |||||||
\(572\) | −8.02566 | − | 33.0822i | −0.335570 | − | 1.38324i | ||||
\(573\) | 0.596196 | − | 1.30549i | 0.0249064 | − | 0.0545375i | ||||
\(574\) | 15.5786 | + | 15.2213i | 0.650238 | + | 0.635327i | ||||
\(575\) | 9.35296 | − | 46.2724i | 0.390045 | − | 1.92969i | ||||
\(576\) | 1.18496 | + | 2.05241i | 0.0493733 | + | 0.0855170i | ||||
\(577\) | 7.03843 | − | 5.01205i | 0.293014 | − | 0.208654i | −0.424091 | − | 0.905620i | \(-0.639406\pi\) |
0.717105 | + | 0.696965i | \(0.245467\pi\) | |||||||
\(578\) | −8.08158 | + | 7.70577i | −0.336149 | + | 0.320518i | ||||
\(579\) | 8.06169 | + | 2.79018i | 0.335032 | + | 0.115956i | ||||
\(580\) | −8.47714 | + | 5.44793i | −0.351994 | + | 0.226213i | ||||
\(581\) | −31.6304 | − | 14.9142i | −1.31225 | − | 0.618745i | ||||
\(582\) | −9.96018 | − | 1.43206i | −0.412863 | − | 0.0593607i | ||||
\(583\) | 6.72871 | + | 6.41581i | 0.278675 | + | 0.265716i | ||||
\(584\) | 8.52121 | + | 16.5288i | 0.352610 | + | 0.683968i | ||||
\(585\) | −7.68346 | + | 19.1924i | −0.317672 | + | 0.793506i | ||||
\(586\) | −6.77830 | + | 9.51879i | −0.280009 | + | 0.393218i | ||||
\(587\) | 26.5427 | − | 12.1216i | 1.09553 | − | 0.500313i | 0.216117 | − | 0.976367i | \(-0.430661\pi\) |
0.879416 | + | 0.476054i | \(0.157933\pi\) | |||||||
\(588\) | −9.49443 | − | 3.54776i | −0.391544 | − | 0.146307i | ||||
\(589\) | −5.10907 | + | 7.94986i | −0.210515 | + | 0.327568i | ||||
\(590\) | 15.2731 | − | 16.0179i | 0.628782 | − | 0.659448i | ||||
\(591\) | 1.27372 | − | 1.61967i | 0.0523939 | − | 0.0666243i | ||||
\(592\) | −0.0986648 | + | 0.0341482i | −0.00405510 | + | 0.00140348i | ||||
\(593\) | −15.5156 | + | 30.0960i | −0.637149 | + | 1.23590i | 0.320306 | + | 0.947314i | \(0.396214\pi\) |
−0.957455 | + | 0.288582i | \(0.906816\pi\) | |||||||
\(594\) | 2.13187 | + | 2.46031i | 0.0874719 | + | 0.100948i | ||||
\(595\) | −0.703865 | + | 57.6842i | −0.0288556 | + | 2.36482i | ||||
\(596\) | 5.15517 | + | 2.35429i | 0.211164 | + | 0.0964353i | ||||
\(597\) | 10.3234 | − | 5.96021i | 0.422508 | − | 0.243935i | ||||
\(598\) | 15.9909 | + | 10.4822i | 0.653915 | + | 0.428649i | ||||
\(599\) | −5.26432 | + | 9.11808i | −0.215094 | + | 0.372555i | −0.953302 | − | 0.302019i | \(-0.902339\pi\) |
0.738207 | + | 0.674574i | \(0.235673\pi\) | |||||||
\(600\) | −2.39709 | − | 25.1035i | −0.0978609 | − | 1.02485i | ||||
\(601\) | 12.5565 | − | 42.7635i | 0.512190 | − | 1.74436i | −0.143816 | − | 0.989604i | \(-0.545937\pi\) |
0.656006 | − | 0.754756i | \(-0.272245\pi\) | |||||||
\(602\) | −0.263004 | + | 4.39272i | −0.0107193 | + | 0.179034i | ||||
\(603\) | 5.07954 | + | 7.90392i | 0.206855 | + | 0.321872i | ||||
\(604\) | −28.7896 | − | 5.54874i | −1.17143 | − | 0.225775i | ||||
\(605\) | 24.8256 | + | 19.5231i | 1.00930 | + | 0.793725i | ||||
\(606\) | 1.21906 | − | 5.02505i | 0.0495210 | − | 0.204129i | ||||
\(607\) | 1.75455 | + | 0.0835797i | 0.0712151 | + | 0.00339239i | 0.0831592 | − | 0.996536i | \(-0.473499\pi\) |
−0.0119441 | + | 0.999929i | \(0.503802\pi\) | |||||||
\(608\) | −0.972057 | − | 6.76081i | −0.0394221 | − | 0.274187i | ||||
\(609\) | −4.70346 | + | 0.847134i | −0.190594 | + | 0.0343276i | ||||
\(610\) | −3.67971 | − | 8.05745i | −0.148987 | − | 0.326237i | ||||
\(611\) | −21.5551 | + | 16.9511i | −0.872024 | + | 0.685768i | ||||
\(612\) | −7.28357 | + | 3.75494i | −0.294421 | + | 0.151784i | ||||
\(613\) | −3.17433 | − | 0.770083i | −0.128210 | − | 0.0311034i | 0.171141 | − | 0.985247i | \(-0.445255\pi\) |
−0.299350 | + | 0.954143i | \(0.596770\pi\) | |||||||
\(614\) | 5.80525 | + | 14.5008i | 0.234281 | + | 0.585206i | ||||
\(615\) | 27.9539 | − | 32.2605i | 1.12721 | − | 1.30087i | ||||
\(616\) | 9.37001 | + | 28.1807i | 0.377529 | + | 1.13543i | ||||
\(617\) | 3.25304 | − | 2.81878i | 0.130963 | − | 0.113480i | −0.586917 | − | 0.809647i | \(-0.699658\pi\) |
0.717879 | + | 0.696168i | \(0.245113\pi\) | |||||||
\(618\) | 1.39071 | − | 0.337382i | 0.0559424 | − | 0.0135715i | ||||
\(619\) | 7.24079 | + | 10.1683i | 0.291032 | + | 0.408697i | 0.934043 | − | 0.357159i | \(-0.116255\pi\) |
−0.643012 | + | 0.765856i | \(0.722315\pi\) | |||||||
\(620\) | −39.1759 | − | 22.6182i | −1.57334 | − | 0.908370i | ||||
\(621\) | 4.76980 | + | 0.499019i | 0.191405 | + | 0.0200249i | ||||
\(622\) | − | 20.1385i | − | 0.807480i | ||||||
\(623\) | −7.94599 | − | 20.5721i | −0.318349 | − | 0.824204i | ||||
\(624\) | −5.10955 | − | 1.50030i | −0.204546 | − | 0.0600601i | ||||
\(625\) | −7.41736 | + | 21.4311i | −0.296694 | + | 0.857242i | ||||
\(626\) | −1.11244 | − | 23.3530i | −0.0444621 | − | 0.933374i | ||||
\(627\) | −1.67003 | − | 4.82525i | −0.0666948 | − | 0.192702i | ||||
\(628\) | −0.0840952 | + | 0.0336666i | −0.00335576 | + | 0.00134344i | ||||
\(629\) | 0.167740 | + | 0.571268i | 0.00668821 | + | 0.0227780i | ||||
\(630\) | 2.22227 | − | 7.24036i | 0.0885374 | − | 0.288463i | ||||
\(631\) | −4.38493 | + | 0.630458i | −0.174561 | + | 0.0250981i | −0.229041 | − | 0.973417i | \(-0.573559\pi\) |
0.0544798 | + | 0.998515i | \(0.482650\pi\) | |||||||
\(632\) | −9.47239 | − | 6.74526i | −0.376791 | − | 0.268312i | ||||
\(633\) | 2.62026 | − | 27.4406i | 0.104146 | − | 1.09067i | ||||
\(634\) | −22.8467 | − | 9.14645i | −0.907359 | − | 0.363252i | ||||
\(635\) | −0.349099 | + | 7.32850i | −0.0138536 | + | 0.290823i | ||||
\(636\) | 2.94798 | − | 0.865606i | 0.116895 | − | 0.0343235i | ||||
\(637\) | −34.5372 | + | 14.7651i | −1.36841 | + | 0.585013i | ||||
\(638\) | 4.44418 | + | 3.85090i | 0.175947 | + | 0.152459i | ||||
\(639\) | 1.09381 | + | 0.563901i | 0.0432706 | + | 0.0223076i | ||||
\(640\) | 37.6846 | − | 7.26311i | 1.48961 | − | 0.287099i | ||||
\(641\) | −9.86502 | − | 10.3461i | −0.389645 | − | 0.408648i | 0.499471 | − | 0.866331i | \(-0.333528\pi\) |
−0.889115 | + | 0.457683i | \(0.848679\pi\) | |||||||
\(642\) | 12.3187 | − | 1.17630i | 0.486182 | − | 0.0464247i | ||||
\(643\) | 7.38479 | 0.291228 | 0.145614 | − | 0.989341i | \(-0.453484\pi\) | ||||
0.145614 | + | 0.989341i | \(0.453484\pi\) | |||||||
\(644\) | 16.1475 | + | 8.76368i | 0.636301 | + | 0.345337i | ||||
\(645\) | 8.62463 | 0.339594 | ||||||||
\(646\) | −4.87817 | + | 0.465808i | −0.191929 | + | 0.0183270i | ||||
\(647\) | −4.17625 | − | 4.37992i | −0.164185 | − | 0.172193i | 0.636502 | − | 0.771275i | \(-0.280381\pi\) |
−0.800687 | + | 0.599082i | \(0.795532\pi\) | |||||||
\(648\) | 2.51554 | − | 0.484831i | 0.0988198 | − | 0.0190460i | ||||
\(649\) | 30.1099 | + | 15.5228i | 1.18192 | + | 0.609321i | ||||
\(650\) | −29.6593 | − | 25.6999i | −1.16333 | − | 1.00803i | ||||
\(651\) | −13.0555 | − | 17.0248i | −0.511684 | − | 0.667256i | ||||
\(652\) | −17.8806 | + | 5.25022i | −0.700258 | + | 0.205614i | ||||
\(653\) | −1.07052 | + | 22.4729i | −0.0418925 | + | 0.879433i | 0.875929 | + | 0.482440i | \(0.160249\pi\) |
−0.917822 | + | 0.396993i | \(0.870054\pi\) | |||||||
\(654\) | −8.00601 | − | 3.20512i | −0.313060 | − | 0.125330i | ||||
\(655\) | −6.57020 | + | 68.8063i | −0.256719 | + | 2.68848i | ||||
\(656\) | 8.95690 | + | 6.37818i | 0.349708 | + | 0.249026i | ||||
\(657\) | 7.18500 | − | 1.03305i | 0.280313 | − | 0.0403030i | ||||
\(658\) | 7.35477 | − | 6.84340i | 0.286719 | − | 0.266783i | ||||
\(659\) | 0.791394 | + | 2.69524i | 0.0308283 | + | 0.104992i | 0.973470 | − | 0.228815i | \(-0.0734850\pi\) |
−0.942642 | + | 0.333806i | \(0.891667\pi\) | |||||||
\(660\) | 22.6915 | − | 9.08431i | 0.883266 | − | 0.353606i | ||||
\(661\) | −11.1221 | − | 32.1353i | −0.432601 | − | 1.24992i | −0.925139 | − | 0.379628i | \(-0.876052\pi\) |
0.492538 | − | 0.870291i | \(-0.336069\pi\) | |||||||
\(662\) | 0.0885460 | + | 1.85881i | 0.00344144 | + | 0.0722447i | ||||
\(663\) | −9.93224 | + | 28.6973i | −0.385736 | + | 1.11451i | ||||
\(664\) | 32.4895 | + | 9.53978i | 1.26084 | + | 0.370215i | ||||
\(665\) | −7.45657 | + | 9.24733i | −0.289153 | + | 0.358596i | ||||
\(666\) | − | 0.0781661i | − | 0.00302888i | ||||||
\(667\) | 8.65649 | − | 0.333946i | 0.335181 | − | 0.0129304i | ||||
\(668\) | 7.02381 | + | 4.05520i | 0.271759 | + | 0.156900i | ||||
\(669\) | 8.16546 | + | 11.4668i | 0.315695 | + | 0.443332i | ||||
\(670\) | −26.1371 | + | 6.34080i | −1.00977 | + | 0.244967i | ||||
\(671\) | 10.2464 | − | 8.87855i | 0.395557 | − | 0.342753i | ||||
\(672\) | 15.1897 | + | 3.12026i | 0.585957 | + | 0.120367i | ||||
\(673\) | 15.8875 | − | 18.3351i | 0.612417 | − | 0.706767i | −0.361831 | − | 0.932244i | \(-0.617848\pi\) |
0.974249 | + | 0.225476i | \(0.0723939\pi\) | |||||||
\(674\) | −0.203805 | − | 0.509079i | −0.00785026 | − | 0.0196090i | ||||
\(675\) | −9.56612 | − | 2.32071i | −0.368200 | − | 0.0893244i | ||||
\(676\) | −20.3245 | + | 10.4780i | −0.781713 | + | 0.403001i | ||||
\(677\) | 22.2677 | − | 17.5116i | 0.855819 | − | 0.673024i | −0.0906272 | − | 0.995885i | \(-0.528887\pi\) |
0.946446 | + | 0.322861i | \(0.104645\pi\) | |||||||
\(678\) | 0.700351 | + | 1.53356i | 0.0268968 | + | 0.0588959i | ||||
\(679\) | −27.3641 | + | 23.1327i | −1.05014 | + | 0.887750i | ||||
\(680\) | −7.94954 | − | 55.2903i | −0.304851 | − | 2.12028i | ||||
\(681\) | −6.47268 | − | 0.308332i | −0.248034 | − | 0.0118153i | ||||
\(682\) | −6.22369 | + | 25.6544i | −0.238317 | + | 0.982357i | ||||
\(683\) | −7.33718 | − | 5.77002i | −0.280749 | − | 0.220784i | 0.467847 | − | 0.883809i | \(-0.345030\pi\) |
−0.748597 | + | 0.663025i | \(0.769272\pi\) | |||||||
\(684\) | −1.65691 | − | 0.319342i | −0.0633534 | − | 0.0122104i | ||||
\(685\) | −19.1032 | − | 29.7252i | −0.729897 | − | 1.13574i | ||||
\(686\) | 12.1609 | − | 6.43959i | 0.464304 | − | 0.245865i | ||||
\(687\) | 6.47262 | − | 22.0437i | 0.246946 | − | 0.841020i | ||||
\(688\) | 0.211180 | + | 2.21158i | 0.00805117 | + | 0.0843156i | ||||
\(689\) | 5.69298 | − | 9.86053i | 0.216885 | − | 0.375656i | ||||
\(690\) | −5.81572 | + | 12.4359i | −0.221401 | + | 0.473425i | ||||
\(691\) | −25.4259 | + | 14.6797i | −0.967249 | + | 0.558441i | −0.898396 | − | 0.439186i | \(-0.855267\pi\) |
−0.0688522 | + | 0.997627i | \(0.521934\pi\) | |||||||
\(692\) | 0.0839437 | + | 0.0383358i | 0.00319106 | + | 0.00145731i | ||||
\(693\) | 11.5915 | + | 0.141439i | 0.440323 | + | 0.00537284i | ||||
\(694\) | 2.40945 | + | 2.78066i | 0.0914616 | + | 0.105552i | ||||
\(695\) | −23.5540 | + | 45.6883i | −0.893453 | + | 1.73306i | ||||
\(696\) | 4.37305 | − | 1.51353i | 0.165760 | − | 0.0573701i | ||||
\(697\) | 38.7610 | − | 49.2886i | 1.46818 | − | 1.86694i | ||||
\(698\) | 5.55134 | − | 5.82208i | 0.210121 | − | 0.220369i | ||||
\(699\) | −2.49362 | + | 3.88015i | −0.0943175 | + | 0.146761i | ||||
\(700\) | −30.4484 | − | 22.2470i | −1.15084 | − | 0.840858i | ||||
\(701\) | 27.3649 | − | 12.4971i | 1.03356 | − | 0.472011i | 0.174916 | − | 0.984583i | \(-0.444035\pi\) |
0.858644 | + | 0.512573i | \(0.171307\pi\) | |||||||
\(702\) | 2.31260 | − | 3.24759i | 0.0872834 | − | 0.122572i | ||||
\(703\) | −0.0455661 | + | 0.113819i | −0.00171856 | + | 0.00429275i | ||||
\(704\) | −4.75811 | − | 9.22946i | −0.179328 | − | 0.347848i | ||||
\(705\) | −14.2498 | − | 13.5871i | −0.536677 | − | 0.511720i | ||||
\(706\) | −4.75811 | − | 0.684112i | −0.179074 | − | 0.0257469i | ||||
\(707\) | −10.4966 | − | 15.1277i | −0.394765 | − | 0.568935i | ||||
\(708\) | 9.41773 | − | 6.05240i | 0.353940 | − | 0.227463i | ||||
\(709\) | 20.2805 | + | 7.01915i | 0.761650 | + | 0.263610i | 0.680159 | − | 0.733065i | \(-0.261911\pi\) |
0.0814907 | + | 0.996674i | \(0.474032\pi\) | |||||||
\(710\) | −2.54954 | + | 2.43098i | −0.0956826 | + | 0.0912331i | ||||
\(711\) | −3.69750 | + | 2.63298i | −0.138667 | + | 0.0987443i | ||||
\(712\) | 10.6769 | + | 18.4930i | 0.400135 | + | 0.693055i | ||||
\(713\) | 19.1394 | + | 33.8536i | 0.716775 | + | 1.26783i | ||||
\(714\) | 2.75460 | − | 10.7789i | 0.103088 | − | 0.403389i | ||||
\(715\) | 37.6281 | − | 82.3940i | 1.40721 | − | 3.08136i | ||||
\(716\) | 2.30670 | + | 9.50835i | 0.0862054 | + | 0.355344i | ||||
\(717\) | −1.45988 | − | 7.57456i | −0.0545201 | − | 0.282877i | ||||
\(718\) | 1.19953 | − | 0.0571408i | 0.0447662 | − | 0.00213247i | ||||
\(719\) | −6.55726 | + | 34.0223i | −0.244545 | + | 1.26882i | 0.627200 | + | 0.778858i | \(0.284201\pi\) |
−0.871745 | + | 0.489960i | \(0.837011\pi\) | |||||||
\(720\) | 0.544154 | − | 3.78468i | 0.0202794 | − | 0.141047i | ||||
\(721\) | 2.39011 | − | 4.50049i | 0.0890125 | − | 0.167607i | ||||
\(722\) | 11.0272 | + | 7.08672i | 0.410388 | + | 0.263740i | ||||
\(723\) | 17.3450 | + | 22.0559i | 0.645066 | + | 0.820268i | ||||
\(724\) | −6.71582 | − | 0.641283i | −0.249592 | − | 0.0238331i | ||||
\(725\) | −17.7004 | − | 1.69019i | −0.657377 | − | 0.0627719i | ||||
\(726\) | −3.76504 | − | 4.78764i | −0.139734 | − | 0.177686i | ||||
\(727\) | −25.5569 | − | 16.4244i | −0.947851 | − | 0.609147i | −0.0272407 | − | 0.999629i | \(-0.508672\pi\) |
−0.920611 | + | 0.390482i | \(0.872308\pi\) | |||||||
\(728\) | 30.8337 | − | 19.2881i | 1.14277 | − | 0.714866i | ||||
\(729\) | 0.142315 | − | 0.989821i | 0.00527092 | − | 0.0366601i | ||||
\(730\) | −3.93250 | + | 20.4038i | −0.145548 | + | 0.755177i | ||||
\(731\) | 12.6546 | − | 0.602814i | 0.468048 | − | 0.0222959i | ||||
\(732\) | −0.847934 | − | 4.39950i | −0.0313406 | − | 0.162610i | ||||
\(733\) | −2.78106 | − | 11.4637i | −0.102721 | − | 0.423422i | 0.897110 | − | 0.441807i | \(-0.145662\pi\) |
−0.999831 | + | 0.0183857i | \(0.994147\pi\) | |||||||
\(734\) | 1.60939 | − | 3.52408i | 0.0594037 | − | 0.130076i | ||||
\(735\) | −14.0227 | − | 23.0369i | −0.517235 | − | 0.849730i | ||||
\(736\) | −26.4785 | − | 9.43322i | −0.976010 | − | 0.347713i | ||||
\(737\) | −20.5829 | − | 35.6507i | −0.758182 | − | 1.31321i | ||||
\(738\) | −6.70574 | + | 4.77513i | −0.246842 | + | 0.175775i | ||||
\(739\) | −35.3514 | + | 33.7075i | −1.30042 | + | 1.23995i | −0.347162 | + | 0.937805i | \(0.612854\pi\) |
−0.953262 | + | 0.302146i | \(0.902297\pi\) | |||||||
\(740\) | −0.554602 | − | 0.191950i | −0.0203876 | − | 0.00705621i | ||||
\(741\) | −5.26055 | + | 3.38075i | −0.193251 | + | 0.124195i | ||||
\(742\) | −1.77899 | + | 3.77292i | −0.0653086 | + | 0.138508i | ||||
\(743\) | −52.0226 | − | 7.47972i | −1.90852 | − | 0.274404i | −0.916458 | − | 0.400130i | \(-0.868965\pi\) |
−0.992065 | + | 0.125726i | \(0.959874\pi\) | |||||||
\(744\) | 15.0348 | + | 14.3356i | 0.551202 | + | 0.525570i | ||||
\(745\) | 6.90995 | + | 13.4034i | 0.253161 | + | 0.491064i | ||||
\(746\) | −2.32603 | + | 5.81014i | −0.0851619 | + | 0.212724i | ||||
\(747\) | 7.66691 | − | 10.7667i | 0.280518 | − | 0.393932i | ||||
\(748\) | 32.6596 | − | 14.9151i | 1.19415 | − | 0.545351i | ||||
\(749\) | 25.9963 | − | 35.5798i | 0.949885 | − | 1.30006i | ||||
\(750\) | 7.49613 | − | 11.6642i | 0.273720 | − | 0.425916i | ||||
\(751\) | −17.5242 | + | 18.3789i | −0.639468 | + | 0.670654i | −0.961097 | − | 0.276211i | \(-0.910921\pi\) |
0.321629 | + | 0.946866i | \(0.395770\pi\) | |||||||
\(752\) | 3.13517 | − | 3.98670i | 0.114328 | − | 0.145380i | ||||
\(753\) | −19.9864 | + | 6.91735i | −0.728343 | + | 0.252082i | ||||
\(754\) | 3.29998 | − | 6.40106i | 0.120178 | − | 0.233113i | ||||
\(755\) | −51.0884 | − | 58.9591i | −1.85930 | − | 2.14574i | ||||
\(756\) | 1.95579 | − | 3.29404i | 0.0711313 | − | 0.119803i | ||||
\(757\) | −18.6144 | − | 8.50089i | −0.676550 | − | 0.308970i | 0.0473464 | − | 0.998879i | \(-0.484924\pi\) |
−0.723897 | + | 0.689908i | \(0.757651\pi\) | |||||||
\(758\) | 3.30953 | − | 1.91076i | 0.120207 | − | 0.0694018i | ||||
\(759\) | −20.7711 | − | 3.17837i | −0.753944 | − | 0.115368i | ||||
\(760\) | 5.75118 | − | 9.96133i | 0.208617 | − | 0.361335i | ||||
\(761\) | −1.08113 | − | 11.3221i | −0.0391908 | − | 0.410425i | −0.993686 | − | 0.112198i | \(-0.964211\pi\) |
0.954495 | − | 0.298227i | \(-0.0963952\pi\) | |||||||
\(762\) | 0.398626 | − | 1.35760i | 0.0144407 | − | 0.0491805i | ||||
\(763\) | −27.4642 | + | 13.7372i | −0.994270 | + | 0.497321i | ||||
\(764\) | 1.12349 | + | 1.74818i | 0.0406463 | + | 0.0632469i | ||||
\(765\) | −21.4102 | − | 4.12647i | −0.774087 | − | 0.149193i | ||||
\(766\) | 6.61976 | + | 5.20584i | 0.239182 | + | 0.188095i | ||||
\(767\) | 9.78079 | − | 40.3169i | 0.353164 | − | 1.45576i | ||||
\(768\) | −12.1273 | − | 0.577696i | −0.437607 | − | 0.0208458i | ||||
\(769\) | 1.85892 | + | 12.9291i | 0.0670344 | + | 0.466235i | 0.995496 | + | 0.0948058i | \(0.0302230\pi\) |
−0.928461 | + | 0.371429i | \(0.878868\pi\) | |||||||
\(770\) | −11.2353 | + | 31.2243i | −0.404892 | + | 1.12525i | ||||
\(771\) | 5.74547 | + | 12.5808i | 0.206918 | + | 0.453087i | ||||
\(772\) | −9.70952 | + | 7.63565i | −0.349453 | + | 0.274813i | ||||
\(773\) | −16.3025 | + | 8.40453i | −0.586361 | + | 0.302290i | −0.725762 | − | 0.687946i | \(-0.758513\pi\) |
0.139401 | + | 0.990236i | \(0.455482\pi\) | |||||||
\(774\) | −1.61638 | − | 0.392130i | −0.0580996 | − | 0.0140948i | ||||
\(775\) | −29.6667 | − | 74.1038i | −1.06566 | − | 2.66189i | ||||
\(776\) | 22.7206 | − | 26.2210i | 0.815622 | − | 0.941277i | ||||
\(777\) | −0.208116 | − | 0.184827i | −0.00746613 | − | 0.00663064i | ||||
\(778\) | −12.2596 | + | 10.6230i | −0.439527 | + | 0.380853i | ||||
\(779\) | 12.5479 | − | 3.04409i | 0.449576 | − | 0.109066i | ||||
\(780\) | −17.3632 | − | 24.3833i | −0.621704 | − | 0.873061i | ||||
\(781\) | −4.66955 | − | 2.69596i | −0.167089 | − | 0.0964692i | ||||
\(782\) | −7.66401 | + | 18.6532i | −0.274065 | + | 0.667037i | ||||
\(783\) | − | 1.80635i | − | 0.0645535i | ||||||
\(784\) | 5.56391 | − | 4.15986i | 0.198711 | − | 0.148566i | ||||
\(785\) | −0.231265 | − | 0.0679056i | −0.00825420 | − | 0.00242365i | ||||
\(786\) | 4.35972 | − | 12.5966i | 0.155506 | − | 0.449305i | ||||
\(787\) | −0.780753 | − | 16.3900i | −0.0278308 | − | 0.584241i | −0.969113 | − | 0.246619i | \(-0.920680\pi\) |
0.941282 | − | 0.337622i | \(-0.109623\pi\) | |||||||
\(788\) | 0.975808 | + | 2.81941i | 0.0347617 | + | 0.100437i | ||||
\(789\) | 15.1882 | − | 6.08044i | 0.540715 | − | 0.216470i | ||||
\(790\) | −3.66078 | − | 12.4675i | −0.130245 | − | 0.443573i | ||||
\(791\) | 5.73908 | + | 1.76149i | 0.204058 | + | 0.0626312i | ||||
\(792\) | −11.1104 | + | 1.59744i | −0.394791 | + | 0.0567624i | ||||
\(793\) | −13.5251 | − | 9.63120i | −0.480292 | − | 0.342014i | ||||
\(794\) | 1.11610 | − | 11.6883i | 0.0396088 | − | 0.414802i | ||||
\(795\) | 7.58963 | + | 3.03843i | 0.269176 | + | 0.107762i | ||||
\(796\) | −0.821269 | + | 17.2406i | −0.0291091 | + | 0.611075i | ||||
\(797\) | 40.7967 | − | 11.9790i | 1.44509 | − | 0.424318i | 0.537177 | − | 0.843469i | \(-0.319491\pi\) |
0.907916 | + | 0.419152i | \(0.137672\pi\) | |||||||
\(798\) | 1.81791 | − | 1.39406i | 0.0643534 | − | 0.0493493i | ||||
\(799\) | −21.8579 | − | 18.9399i | −0.773275 | − | 0.670047i | ||||
\(800\) | 51.2803 | + | 26.4369i | 1.81303 | + | 0.934684i | ||||
\(801\) | 8.18475 | − | 1.57748i | 0.289194 | − | 0.0557375i | ||||
\(802\) | −4.73407 | − | 4.96495i | −0.167166 | − | 0.175318i | ||||
\(803\) | −31.6607 | + | 3.02323i | −1.11728 | + | 0.106687i | ||||
\(804\) | −13.6040 | −0.479777 | ||||||||
\(805\) | 19.3587 | + | 44.8894i | 0.682306 | + | 1.58214i | ||||
\(806\) | 32.3293 | 1.13875 | ||||||||
\(807\) | −18.1992 | + | 1.73782i | −0.640643 | + | 0.0611740i | ||||
\(808\) | 12.3032 | + | 12.9032i | 0.432824 | + | 0.453933i | ||||
\(809\) | −4.22074 | + | 0.813481i | −0.148393 | + | 0.0286005i | −0.262907 | − | 0.964821i | \(-0.584681\pi\) |
0.114514 | + | 0.993422i | \(0.463469\pi\) | |||||||
\(810\) | 2.54438 | + | 1.31172i | 0.0894004 | + | 0.0460891i | ||||
\(811\) | 38.9017 | + | 33.7085i | 1.36602 | + | 1.18367i | 0.963326 | + | 0.268332i | \(0.0864724\pi\) |
0.402696 | + | 0.915334i | \(0.368073\pi\) | |||||||
\(812\) | 2.65007 | − | 6.39239i | 0.0929993 | − | 0.224329i | ||||
\(813\) | −22.5785 | + | 6.62964i | −0.791862 | + | 0.232512i | ||||
\(814\) | −0.0162960 | + | 0.342096i | −0.000571176 | + | 0.0119905i | ||||
\(815\) | −46.0339 | − | 18.4292i | −1.61250 | − | 0.645546i | ||||
\(816\) | 0.533891 | − | 5.59116i | 0.0186899 | − | 0.195730i | ||||
\(817\) | 2.12505 | + | 1.51324i | 0.0743459 | + | 0.0529415i | ||||
\(818\) | −14.2532 | + | 2.04930i | −0.498352 | + | 0.0716522i | ||||
\(819\) | −3.17842 | − | 13.8363i | −0.111063 | − | 0.483481i | ||||
\(820\) | 17.4134 | + | 59.3045i | 0.608101 | + | 2.07100i | ||||
\(821\) | −4.87869 | + | 1.95313i | −0.170267 | + | 0.0681648i | −0.455230 | − | 0.890374i | \(-0.650443\pi\) |
0.284963 | + | 0.958539i | \(0.408019\pi\) | |||||||
\(822\) | 2.22873 | + | 6.43950i | 0.0777359 | + | 0.224603i | ||||
\(823\) | −0.613571 | − | 12.8804i | −0.0213878 | − | 0.448984i | −0.984007 | − | 0.178127i | \(-0.942996\pi\) |
0.962620 | − | 0.270857i | \(-0.0873070\pi\) | |||||||
\(824\) | −1.61381 | + | 4.66279i | −0.0562197 | + | 0.162436i | ||||
\(825\) | 41.3825 | + | 12.1510i | 1.44075 | + | 0.423044i | ||||
\(826\) | −2.34640 | + | 15.0165i | −0.0816416 | + | 0.522491i | ||||
\(827\) | 10.3333i | 0.359326i | 0.983728 | + | 0.179663i | \(0.0575007\pi\) | ||||
−0.983728 | + | 0.179663i | \(0.942499\pi\) | |||||||
\(828\) | −4.34173 | + | 5.41940i | −0.150886 | + | 0.188337i | ||||
\(829\) | −20.1225 | − | 11.6178i | −0.698884 | − | 0.403501i | 0.108047 | − | 0.994146i | \(-0.465540\pi\) |
−0.806932 | + | 0.590645i | \(0.798874\pi\) | |||||||
\(830\) | 21.9473 | + | 30.8207i | 0.761802 | + | 1.06980i | ||||
\(831\) | 5.78088 | − | 1.40243i | 0.200536 | − | 0.0486496i | ||||
\(832\) | −9.61058 | + | 8.32761i | −0.333187 | + | 0.288708i | ||||
\(833\) | −22.1852 | − | 32.8212i | −0.768671 | − | 1.13719i | ||||
\(834\) | 6.49164 | − | 7.49175i | 0.224787 | − | 0.259418i | ||||
\(835\) | 8.02062 | + | 20.0346i | 0.277565 | + | 0.693324i | ||||
\(836\) | 7.18492 | + | 1.74304i | 0.248495 | + | 0.0602844i | ||||
\(837\) | 7.20756 | − | 3.71575i | 0.249130 | − | 0.128435i | ||||
\(838\) | 9.81829 | − | 7.72118i | 0.339167 | − | 0.266724i | ||||
\(839\) | 7.59168 | + | 16.6235i | 0.262094 | + | 0.573906i | 0.994232 | − | 0.107251i | \(-0.0342047\pi\) |
−0.732138 | + | 0.681156i | \(0.761477\pi\) | |||||||
\(840\) | 16.8588 | + | 19.9427i | 0.581685 | + | 0.688087i | ||||
\(841\) | 3.66277 | + | 25.4751i | 0.126303 | + | 0.878453i | ||||
\(842\) | −28.3554 | − | 1.35073i | −0.977190 | − | 0.0465493i | ||||
\(843\) | −2.91730 | + | 12.0253i | −0.100477 | + | 0.414172i | ||||
\(844\) | 31.3739 | + | 24.6727i | 1.07993 | + | 0.849269i | ||||
\(845\) | −59.7443 | − | 11.5148i | −2.05527 | − | 0.396120i | ||||
\(846\) | 2.05286 | + | 3.19431i | 0.0705787 | + | 0.109823i | ||||
\(847\) | −21.6496 | − | 1.29622i | −0.743889 | − | 0.0445387i | ||||
\(848\) | −0.593295 | + | 2.02058i | −0.0203738 | + | 0.0693869i | ||||
\(849\) | 0.756985 | + | 7.92751i | 0.0259797 | + | 0.272071i | ||||
\(850\) | 20.6960 | − | 35.8464i | 0.709865 | − | 1.22952i | ||||
\(851\) | 0.326939 | + | 0.384274i | 0.0112073 | + | 0.0131727i | ||||
\(852\) | −1.54314 | + | 0.890932i | −0.0528671 | + | 0.0305228i | ||||
\(853\) | 29.6573 | + | 13.5441i | 1.01545 | + | 0.463740i | 0.852406 | − | 0.522880i | \(-0.175142\pi\) |
0.163041 | + | 0.986619i | \(0.447870\pi\) | |||||||
\(854\) | 5.23045 | + | 3.10550i | 0.178982 | + | 0.106268i | ||||
\(855\) | −2.94025 | − | 3.39323i | −0.100554 | − | 0.116046i | ||||
\(856\) | −19.5514 | + | 37.9244i | −0.668253 | + | 1.29623i | ||||
\(857\) | −9.49978 | + | 3.28791i | −0.324506 | + | 0.112313i | −0.484464 | − | 0.874811i | \(-0.660985\pi\) |
0.159958 | + | 0.987124i | \(0.448864\pi\) | |||||||
\(858\) | −10.7982 | + | 13.7310i | −0.368645 | + | 0.468770i | ||||
\(859\) | 31.2135 | − | 32.7358i | 1.06499 | − | 1.11693i | 0.0721628 | − | 0.997393i | \(-0.477010\pi\) |
0.992830 | − | 0.119539i | \(-0.0381416\pi\) | |||||||
\(860\) | −6.75152 | + | 10.5056i | −0.230225 | + | 0.358237i | ||||
\(861\) | −3.14229 | + | 29.1449i | −0.107089 | + | 0.993257i | ||||
\(862\) | −15.2728 | + | 6.97483i | −0.520192 | + | 0.237564i | ||||
\(863\) | 9.72390 | − | 13.6553i | 0.331005 | − | 0.464832i | −0.615213 | − | 0.788361i | \(-0.710930\pi\) |
0.946218 | + | 0.323529i | \(0.104869\pi\) | |||||||
\(864\) | −2.17833 | + | 5.44122i | −0.0741085 | + | 0.185114i | ||||
\(865\) | 0.112517 | + | 0.218253i | 0.00382571 | + | 0.00742084i | ||||
\(866\) | −14.5593 | − | 13.8823i | −0.494745 | − | 0.471738i | ||||
\(867\) | −14.8759 | − | 2.13883i | −0.505212 | − | 0.0726385i | ||||
\(868\) | 30.9578 | − | 2.57536i | 1.05078 | − | 0.0874136i | ||||
\(869\) | 16.7311 | − | 10.7524i | 0.567564 | − | 0.364751i | ||||
\(870\) | 4.88645 | + | 1.69122i | 0.165666 | + | 0.0573377i | ||||
\(871\) | −36.4866 | + | 34.7899i | −1.23630 | + | 1.17881i | ||||
\(872\) | 24.2208 | − | 17.2475i | 0.820219 | − | 0.584075i | ||||
\(873\) | −6.77157 | − | 11.7287i | −0.229183 | − | 0.396956i | ||||
\(874\) | −3.61489 | + | 2.04370i | −0.122275 | + | 0.0691293i | ||||
\(875\) | −13.3308 | − | 47.5389i | −0.450665 | − | 1.60711i | ||||
\(876\) | −4.36620 | + | 9.56065i | −0.147520 | + | 0.323025i | ||||
\(877\) | −8.80834 | − | 36.3085i | −0.297436 | − | 1.22605i | −0.902786 | − | 0.430090i | \(-0.858482\pi\) |
0.605350 | − | 0.795960i | \(-0.293033\pi\) | |||||||
\(878\) | 3.74028 | + | 19.4064i | 0.126228 | + | 0.654935i | ||||
\(879\) | −15.7097 | + | 0.748344i | −0.529874 | + | 0.0252410i | ||||
\(880\) | −3.17053 | + | 16.4503i | −0.106879 | + | 0.554539i | ||||
\(881\) | −6.06879 | + | 42.2094i | −0.204463 | + | 1.42207i | 0.586373 | + | 0.810041i | \(0.300555\pi\) |
−0.790836 | + | 0.612029i | \(0.790354\pi\) | |||||||
\(882\) | 1.58066 | + | 4.95502i | 0.0532234 | + | 0.166844i | ||||
\(883\) | 0.330660 | + | 0.212502i | 0.0111276 | + | 0.00715128i | 0.546193 | − | 0.837659i | \(-0.316077\pi\) |
−0.535065 | + | 0.844811i | \(0.679713\pi\) | |||||||
\(884\) | −27.1808 | − | 34.5632i | −0.914188 | − | 1.16248i | ||||
\(885\) | 29.6528 | + | 2.83150i | 0.996768 | + | 0.0951798i | ||||
\(886\) | −24.8290 | − | 2.37088i | −0.834147 | − | 0.0796514i | ||||
\(887\) | −2.34913 | − | 2.98717i | −0.0788762 | − | 0.100299i | 0.745014 | − | 0.667049i | \(-0.232443\pi\) |
−0.823890 | + | 0.566750i | \(0.808201\pi\) | |||||||
\(888\) | 0.226728 | + | 0.145709i | 0.00760851 | + | 0.00488969i | ||||
\(889\) | −2.67201 | − | 4.27143i | −0.0896163 | − | 0.143259i | ||||
\(890\) | −3.39575 | + | 23.6180i | −0.113826 | + | 0.791677i | ||||
\(891\) | −0.829202 | + | 4.30231i | −0.0277793 | + | 0.144133i | ||||
\(892\) | −20.3596 | + | 0.969849i | −0.681691 | + | 0.0324730i | ||||
\(893\) | −1.12710 | − | 5.84796i | −0.0377170 | − | 0.195695i | ||||
\(894\) | −0.685621 | − | 2.82617i | −0.0229306 | − | 0.0945212i | ||||
\(895\) | −10.8149 | + | 23.6813i | −0.361502 | + | 0.791580i | ||||
\(896\) | −18.4184 | + | 18.8507i | −0.615316 | + | 0.629758i | ||||
\(897\) | 2.21443 | + | 25.6383i | 0.0739377 | + | 0.856037i | ||||
\(898\) | 2.47710 | + | 4.29047i | 0.0826621 | + | 0.143175i | ||||
\(899\) | 11.9316 | − | 8.49647i | 0.397942 | − | 0.283373i | ||||
\(900\) | 10.3154 | − | 9.83568i | 0.343846 | − | 0.327856i | ||||
\(901\) | 11.3484 | + | 3.92771i | 0.378069 | + | 0.130851i | ||||
\(902\) | 30.3433 | − | 19.5005i | 1.01032 | − | 0.649295i | ||||
\(903\) | −4.86605 | + | 3.37638i | −0.161932 | + | 0.112359i | ||||
\(904\) | −5.75375 | − | 0.827264i | −0.191367 | − | 0.0275144i | ||||
\(905\) | −12.9917 | − | 12.3876i | −0.431859 | − | 0.411777i | ||||
\(906\) | 6.89406 | + | 13.3726i | 0.229040 | + | 0.444275i | ||||
\(907\) | 13.1683 | − | 32.8928i | 0.437246 | − | 1.09219i | −0.532143 | − | 0.846655i | \(-0.678613\pi\) |
0.969388 | − | 0.245532i | \(-0.0789627\pi\) | |||||||
\(908\) | 5.44251 | − | 7.64293i | 0.180616 | − | 0.253640i | ||||
\(909\) | 6.33042 | − | 2.89101i | 0.209967 | − | 0.0958886i | ||||
\(910\) | 40.4053 | + | 4.35634i | 1.33942 | + | 0.144411i | ||||
\(911\) | 26.0513 | − | 40.5366i | 0.863117 | − | 1.34304i | −0.0751674 | − | 0.997171i | \(-0.523949\pi\) |
0.938284 | − | 0.345865i | \(-0.112415\pi\) | |||||||
\(912\) | 0.798118 | − | 0.837042i | 0.0264283 | − | 0.0277172i | ||||
\(913\) | −35.7990 | + | 45.5222i | −1.18478 | + | 1.50656i | ||||
\(914\) | −1.71416 | + | 0.593277i | −0.0566994 | + | 0.0196238i | ||||
\(915\) | 5.46287 | − | 10.5965i | 0.180597 | − | 0.350309i | ||||
\(916\) | 21.7843 | + | 25.1404i | 0.719774 | + | 0.830664i | ||||
\(917\) | −23.2295 | − | 41.3929i | −0.767104 | − | 1.36691i | ||||
\(918\) | 3.82497 | + | 1.74680i | 0.126243 | + | 0.0576531i | ||||
\(919\) | −33.8153 | + | 19.5233i | −1.11546 | + | 0.644013i | −0.940239 | − | 0.340516i | \(-0.889398\pi\) |
−0.175224 | + | 0.984529i | \(0.556065\pi\) | |||||||
\(920\) | −25.2303 | − | 40.0507i | −0.831818 | − | 1.32043i | ||||
\(921\) | −10.5112 | + | 18.2059i | −0.346355 | + | 0.599905i | ||||
\(922\) | 2.86641 | + | 30.0184i | 0.0944003 | + | 0.988605i | ||||
\(923\) | −1.86036 | + | 6.33582i | −0.0612346 | + | 0.208546i | ||||
\(924\) | −9.24630 | + | 14.0087i | −0.304181 | + | 0.460853i | ||||
\(925\) | −0.559874 | − | 0.871180i | −0.0184085 | − | 0.0286442i | ||||
\(926\) | 15.8557 | + | 3.05593i | 0.521050 | + | 0.100424i | ||||
\(927\) | 1.51396 | + | 1.19059i | 0.0497250 | + | 0.0391041i | ||||
\(928\) | −2.49600 | + | 10.2887i | −0.0819353 | + | 0.337742i | ||||
\(929\) | −41.2718 | − | 1.96602i | −1.35409 | − | 0.0645030i | −0.642059 | − | 0.766656i | \(-0.721919\pi\) |
−0.712027 | + | 0.702153i | \(0.752222\pi\) | |||||||
\(930\) | 3.30352 | + | 22.9765i | 0.108327 | + | 0.753430i | ||||
\(931\) | 0.586864 | − | 8.13649i | 0.0192337 | − | 0.266663i | ||||
\(932\) | −2.77432 | − | 6.07491i | −0.0908758 | − | 0.198990i | ||||
\(933\) | 21.3053 | − | 16.7547i | 0.697504 | − | 0.548523i | ||||
\(934\) | 9.78431 | − | 5.04416i | 0.320152 | − | 0.165050i | ||||
\(935\) | 92.8419 | + | 22.5232i | 3.03625 | + | 0.736587i | ||||
\(936\) | 5.10903 | + | 12.7617i | 0.166994 | + | 0.417131i | ||||
\(937\) | −12.7557 | + | 14.7208i | −0.416709 | + | 0.480908i | −0.924832 | − | 0.380377i | \(-0.875794\pi\) |
0.508122 | + | 0.861285i | \(0.330340\pi\) | |||||||
\(938\) | 12.2644 | − | 13.8097i | 0.400446 | − | 0.450903i | ||||
\(939\) | 23.7805 | − | 20.6060i | 0.776049 | − | 0.672450i | ||||
\(940\) | 27.7053 | − | 6.72123i | 0.903646 | − | 0.219222i | ||||
\(941\) | −5.25820 | − | 7.38411i | −0.171412 | − | 0.240715i | 0.719929 | − | 0.694048i | \(-0.244174\pi\) |
−0.891341 | + | 0.453333i | \(0.850235\pi\) | |||||||
\(942\) | 0.0402551 | + | 0.0232413i | 0.00131158 | + | 0.000757241i | ||||
\(943\) | 12.9936 | − | 51.5227i | 0.423131 | − | 1.67781i | ||||
\(944\) | 7.67307i | 0.249737i | ||||||||
\(945\) | 9.50873 | − | 3.67276i | 0.309319 | − | 0.119475i | ||||
\(946\) | 6.99238 | + | 2.05315i | 0.227342 | + | 0.0667536i | ||||
\(947\) | −12.4325 | + | 35.9213i | −0.404001 | + | 1.16728i | 0.541228 | + | 0.840876i | \(0.317960\pi\) |
−0.945229 | + | 0.326408i | \(0.894162\pi\) | |||||||
\(948\) | −0.312731 | − | 6.56502i | −0.0101570 | − | 0.213222i | ||||
\(949\) | 12.7393 | + | 36.8079i | 0.413536 | + | 1.19483i | ||||
\(950\) | 7.91281 | − | 3.16781i | 0.256725 | − | 0.102777i | ||||
\(951\) | −9.33146 | − | 31.7800i | −0.302593 | − | 1.03054i | ||||
\(952\) | 26.1303 | + | 28.0829i | 0.846887 | + | 0.910171i | ||||
\(953\) | 41.6763 | − | 5.99215i | 1.35003 | − | 0.194105i | 0.570926 | − | 0.821002i | \(-0.306584\pi\) |
0.779102 | + | 0.626897i | \(0.215675\pi\) | |||||||
\(954\) | −1.28426 | − | 0.914519i | −0.0415795 | − | 0.0296086i | ||||
\(955\) | −0.525601 | + | 5.50434i | −0.0170080 | + | 0.178116i | ||||
\(956\) | 10.3693 | + | 4.15125i | 0.335367 | + | 0.134261i | ||||
\(957\) | −0.376586 | + | 7.90552i | −0.0121733 | + | 0.255549i | ||||
\(958\) | −1.45621 | + | 0.427582i | −0.0470481 | + | 0.0138146i | ||||
\(959\) | 22.4150 | + | 9.29251i | 0.723818 | + | 0.300071i | ||||
\(960\) | −6.90050 | − | 5.97932i | −0.222713 | − | 0.192982i | ||||
\(961\) | 30.8921 | + | 15.9260i | 0.996520 | + | 0.513742i | ||||
\(962\) | 0.411848 | − | 0.0793772i | 0.0132785 | − | 0.00255923i | ||||
\(963\) | 11.4933 | + | 12.0538i | 0.370366 | + | 0.388429i | ||||
\(964\) | −40.4440 | + | 3.86193i | −1.30261 | + | 0.124384i | ||||
\(965\) | −32.8672 | −1.05803 | ||||||||
\(966\) | −1.58716 | − | 9.29310i | −0.0510660 | − | 0.299001i | ||||
\(967\) | −17.5511 | −0.564404 | −0.282202 | − | 0.959355i | \(-0.591065\pi\) | ||||
−0.282202 | + | 0.959355i | \(0.591065\pi\) | |||||||
\(968\) | 20.9054 | − | 1.99622i | 0.671925 | − | 0.0641611i | ||||
\(969\) | −4.55130 | − | 4.77327i | −0.146209 | − | 0.153339i | ||||
\(970\) | 38.0680 | − | 7.33700i | 1.22229 | − | 0.235577i | ||||
\(971\) | 43.6899 | + | 22.5237i | 1.40208 | + | 0.722820i | 0.982737 | − | 0.185010i | \(-0.0592316\pi\) |
0.419339 | + | 0.907830i | \(0.362262\pi\) | |||||||
\(972\) | 1.09428 | + | 0.948202i | 0.0350992 | + | 0.0304136i | ||||
\(973\) | −4.59691 | − | 34.9985i | −0.147370 | − | 1.12200i | ||||
\(974\) | 10.5028 | − | 3.08389i | 0.336531 | − | 0.0988143i | ||||
\(975\) | 2.51324 | − | 52.7594i | 0.0804881 | − | 1.68965i | ||||
\(976\) | 2.85098 | + | 1.14136i | 0.0912576 | + | 0.0365340i | ||||
\(977\) | −0.360444 | + | 3.77474i | −0.0115316 | + | 0.120764i | −0.999405 | − | 0.0344988i | \(-0.989017\pi\) |
0.987873 | + | 0.155263i | \(0.0496226\pi\) | |||||||
\(978\) | 7.78952 | + | 5.54689i | 0.249081 | + | 0.177370i | ||||
\(979\) | −36.1496 | + | 5.19753i | −1.15535 | + | 0.166114i | ||||
\(980\) | 39.0383 | + | 0.952834i | 1.24703 | + | 0.0304372i | ||||
\(981\) | −3.26996 | − | 11.1365i | −0.104402 | − | 0.355560i | ||||
\(982\) | −13.7651 | + | 5.51073i | −0.439263 | + | 0.175854i | ||||
\(983\) | 4.94746 | + | 14.2947i | 0.157799 | + | 0.455931i | 0.995992 | − | 0.0894430i | \(-0.0285087\pi\) |
−0.838193 | + | 0.545374i | \(0.816387\pi\) | |||||||
\(984\) | −1.35057 | − | 28.3520i | −0.0430546 | − | 0.903828i | ||||
\(985\) | −2.59646 | + | 7.50198i | −0.0827302 | + | 0.239033i | ||||
\(986\) | 7.28794 | + | 2.13993i | 0.232095 | + | 0.0681493i | ||||
\(987\) | 13.3589 | + | 2.08738i | 0.425218 | + | 0.0664421i | ||||
\(988\) | − | 9.05434i | − | 0.288057i | ||||||
\(989\) | 9.58645 | − | 4.83295i | 0.304832 | − | 0.153679i | ||||
\(990\) | −10.8621 | − | 6.27122i | −0.345219 | − | 0.199313i | ||||
\(991\) | −28.8292 | − | 40.4850i | −0.915791 | − | 1.28605i | −0.957949 | − | 0.286938i | \(-0.907363\pi\) |
0.0421581 | − | 0.999111i | \(-0.486577\pi\) | |||||||
\(992\) | −46.1875 | + | 11.2050i | −1.46646 | + | 0.355758i | ||||
\(993\) | −1.89284 | + | 1.64016i | −0.0600675 | + | 0.0520488i | ||||
\(994\) | 0.486776 | − | 2.36967i | 0.0154396 | − | 0.0751613i | ||||
\(995\) | −30.0753 | + | 34.7087i | −0.953451 | + | 1.10034i | ||||
\(996\) | 7.11296 | + | 17.7673i | 0.225383 | + | 0.562979i | ||||
\(997\) | 14.6343 | + | 3.55024i | 0.463473 | + | 0.112437i | 0.460694 | − | 0.887559i | \(-0.347600\pi\) |
0.00277844 | + | 0.999996i | \(0.499116\pi\) | |||||||
\(998\) | −18.6713 | + | 9.62571i | −0.591029 | + | 0.304697i | ||||
\(999\) | 0.0826950 | − | 0.0650321i | 0.00261636 | − | 0.00205752i |
(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 | 483.2.bf.a.178.20 | yes | 640 | |
7.5 | odd | 6 | inner | 483.2.bf.a.40.13 | yes | 640 | |
23.19 | odd | 22 | inner | 483.2.bf.a.157.13 | yes | 640 | |
161.19 | even | 66 | inner | 483.2.bf.a.19.20 | ✓ | 640 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.bf.a.19.20 | ✓ | 640 | 161.19 | even | 66 | inner | |
483.2.bf.a.40.13 | yes | 640 | 7.5 | odd | 6 | inner | |
483.2.bf.a.157.13 | yes | 640 | 23.19 | odd | 22 | inner | |
483.2.bf.a.178.20 | yes | 640 | 1.1 | even | 1 | trivial |