Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [756,2,Mod(11,756)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(756, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 13, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("756.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 756 = 2^{2} \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 756.bs (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.03669039281\) |
Analytic rank: | \(0\) |
Dimension: | \(840\) |
Relative dimension: | \(140\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 11.3 | ||
Character | \(\chi\) | \(=\) | 756.11 |
Dual form | 756.2.bs.a.275.3 |
$q$-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 \(\left(\mathbb{Z}/756\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{13}{18}\right)\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.41197 | + | 0.0796147i | −0.998414 | + | 0.0562961i | ||||
\(3\) | −1.59653 | + | 0.671641i | −0.921755 | + | 0.387772i | ||||
\(4\) | 1.98732 | − | 0.224827i | 0.993661 | − | 0.112414i | ||||
\(5\) | 0.781464 | − | 0.137793i | 0.349481 | − | 0.0616230i | 0.00384796 | − | 0.999993i | \(-0.498775\pi\) |
0.345634 | + | 0.938370i | \(0.387664\pi\) | |||||||
\(6\) | 2.20078 | − | 1.07544i | 0.898463 | − | 0.439048i | ||||
\(7\) | 2.60906 | + | 0.439114i | 0.986131 | + | 0.165969i | ||||
\(8\) | −2.78814 | + | 0.475670i | −0.985757 | + | 0.168175i | ||||
\(9\) | 2.09780 | − | 2.14459i | 0.699265 | − | 0.714862i | ||||
\(10\) | −1.09243 | + | 0.256776i | −0.345458 | + | 0.0811997i | ||||
\(11\) | 0.353158 | − | 2.00286i | 0.106481 | − | 0.603884i | −0.884137 | − | 0.467227i | \(-0.845253\pi\) |
0.990618 | − | 0.136657i | \(-0.0436359\pi\) | |||||||
\(12\) | −3.02181 | + | 1.69371i | −0.872322 | + | 0.488932i | ||||
\(13\) | 1.21854 | − | 1.02247i | 0.337961 | − | 0.283583i | −0.457973 | − | 0.888966i | \(-0.651424\pi\) |
0.795934 | + | 0.605383i | \(0.206980\pi\) | |||||||
\(14\) | −3.71887 | − | 0.412297i | −0.993910 | − | 0.110191i | ||||
\(15\) | −1.15508 | + | 0.744854i | −0.298241 | + | 0.192321i | ||||
\(16\) | 3.89891 | − | 0.893609i | 0.974726 | − | 0.223402i | ||||
\(17\) | − | 7.32143i | − | 1.77571i | −0.460126 | − | 0.887854i | \(-0.652196\pi\) | ||
0.460126 | − | 0.887854i | \(-0.347804\pi\) | |||||||
\(18\) | −2.79129 | + | 3.19511i | −0.657913 | + | 0.753094i | ||||
\(19\) | 1.77070i | 0.406226i | 0.979155 | + | 0.203113i | \(0.0651059\pi\) | ||||
−0.979155 | + | 0.203113i | \(0.934894\pi\) | |||||||
\(20\) | 1.52204 | − | 0.449534i | 0.340339 | − | 0.100519i | ||||
\(21\) | −4.46036 | + | 1.05129i | −0.973330 | + | 0.229411i | ||||
\(22\) | −0.339192 | + | 2.85609i | −0.0723159 | + | 0.608921i | ||||
\(23\) | −4.09564 | + | 3.43665i | −0.854000 | + | 0.716591i | −0.960667 | − | 0.277704i | \(-0.910427\pi\) |
0.106667 | + | 0.994295i | \(0.465982\pi\) | |||||||
\(24\) | 4.13186 | − | 2.63205i | 0.843413 | − | 0.537265i | ||||
\(25\) | −4.10676 | + | 1.49474i | −0.821353 | + | 0.298948i | ||||
\(26\) | −1.63913 | + | 1.54072i | −0.321461 | + | 0.302159i | ||||
\(27\) | −1.90880 | + | 4.83286i | −0.367348 | + | 0.930084i | ||||
\(28\) | 5.28376 | + | 0.286074i | 0.998538 | + | 0.0540629i | ||||
\(29\) | 3.78690 | − | 4.51305i | 0.703210 | − | 0.838053i | −0.289676 | − | 0.957125i | \(-0.593547\pi\) |
0.992886 | + | 0.119072i | \(0.0379919\pi\) | |||||||
\(30\) | 1.57164 | − | 1.14367i | 0.286941 | − | 0.208805i | ||||
\(31\) | 0.584932 | − | 1.60709i | 0.105057 | − | 0.288641i | −0.876015 | − | 0.482283i | \(-0.839808\pi\) |
0.981072 | + | 0.193642i | \(0.0620299\pi\) | |||||||
\(32\) | −5.43400 | + | 1.57216i | −0.960604 | + | 0.277921i | ||||
\(33\) | 0.781376 | + | 3.43481i | 0.136020 | + | 0.597924i | ||||
\(34\) | 0.582894 | + | 10.3376i | 0.0999654 | + | 1.77289i | ||||
\(35\) | 2.09939 | − | 0.0163586i | 0.354862 | − | 0.00276510i | ||||
\(36\) | 3.68684 | − | 4.73363i | 0.614473 | − | 0.788938i | ||||
\(37\) | 1.80601 | − | 3.12811i | 0.296907 | − | 0.514258i | −0.678520 | − | 0.734582i | \(-0.737378\pi\) |
0.975427 | + | 0.220324i | \(0.0707115\pi\) | |||||||
\(38\) | −0.140974 | − | 2.50018i | −0.0228690 | − | 0.405582i | ||||
\(39\) | −1.25869 | + | 2.45083i | −0.201552 | + | 0.392446i | ||||
\(40\) | −2.11329 | + | 0.755906i | −0.334140 | + | 0.119519i | ||||
\(41\) | −5.62796 | − | 6.70714i | −0.878940 | − | 1.04748i | −0.998505 | − | 0.0546532i | \(-0.982595\pi\) |
0.119566 | − | 0.992826i | \(-0.461850\pi\) | |||||||
\(42\) | 6.21420 | − | 1.83951i | 0.958871 | − | 0.283842i | ||||
\(43\) | −3.21899 | − | 8.84410i | −0.490891 | − | 1.34871i | −0.899866 | − | 0.436166i | \(-0.856336\pi\) |
0.408975 | − | 0.912546i | \(-0.365886\pi\) | |||||||
\(44\) | 0.251542 | − | 4.05973i | 0.0379213 | − | 0.612027i | ||||
\(45\) | 1.34384 | − | 1.96498i | 0.200328 | − | 0.292922i | ||||
\(46\) | 5.50931 | − | 5.17852i | 0.812304 | − | 0.763531i | ||||
\(47\) | −10.3369 | + | 3.76233i | −1.50779 | + | 0.548792i | −0.958065 | − | 0.286552i | \(-0.907491\pi\) |
−0.549728 | + | 0.835344i | \(0.685269\pi\) | |||||||
\(48\) | −5.62452 | + | 4.04534i | −0.811830 | + | 0.583894i | ||||
\(49\) | 6.61436 | + | 2.29135i | 0.944908 | + | 0.327335i | ||||
\(50\) | 5.67963 | − | 2.43749i | 0.803221 | − | 0.344713i | ||||
\(51\) | 4.91737 | + | 11.6889i | 0.688570 | + | 1.63677i | ||||
\(52\) | 2.19175 | − | 2.30595i | 0.303941 | − | 0.319777i | ||||
\(53\) | 12.5895 | + | 7.26858i | 1.72931 | + | 0.998416i | 0.892785 | + | 0.450483i | \(0.148748\pi\) |
0.836522 | + | 0.547933i | \(0.184585\pi\) | |||||||
\(54\) | 2.31040 | − | 6.97582i | 0.314405 | − | 0.949289i | ||||
\(55\) | − | 1.61382i | − | 0.217608i | ||||||
\(56\) | −7.48330 | + | 0.0167377i | −0.999997 | + | 0.00223667i | ||||
\(57\) | −1.18927 | − | 2.82697i | −0.157523 | − | 0.374441i | ||||
\(58\) | −4.98769 | + | 6.67379i | −0.654916 | + | 0.876312i | ||||
\(59\) | 10.9126 | − | 9.15677i | 1.42070 | − | 1.19211i | 0.469738 | − | 0.882806i | \(-0.344349\pi\) |
0.950963 | − | 0.309304i | \(-0.100096\pi\) | |||||||
\(60\) | −2.12806 | + | 1.73996i | −0.274731 | + | 0.224628i | ||||
\(61\) | 5.24505 | − | 1.90904i | 0.671560 | − | 0.244428i | 0.0163406 | − | 0.999866i | \(-0.494798\pi\) |
0.655219 | + | 0.755439i | \(0.272576\pi\) | |||||||
\(62\) | −0.697959 | + | 2.31573i | −0.0886408 | + | 0.294098i | ||||
\(63\) | 6.41499 | − | 4.67418i | 0.808213 | − | 0.588891i | ||||
\(64\) | 7.54748 | − | 2.65247i | 0.943435 | − | 0.331559i | ||||
\(65\) | 0.811353 | − | 0.966933i | 0.100636 | − | 0.119933i | ||||
\(66\) | −1.37674 | − | 4.78765i | −0.169465 | − | 0.589318i | ||||
\(67\) | 11.5769 | − | 2.04132i | 1.41435 | − | 0.249388i | 0.586322 | − | 0.810078i | \(-0.300575\pi\) |
0.828025 | + | 0.560691i | \(0.189464\pi\) | |||||||
\(68\) | −1.64606 | − | 14.5500i | −0.199614 | − | 1.76445i | ||||
\(69\) | 4.23060 | − | 8.23750i | 0.509305 | − | 0.991679i | ||||
\(70\) | −2.96298 | + | 0.190240i | −0.354144 | + | 0.0227381i | ||||
\(71\) | 2.22729 | + | 3.85778i | 0.264331 | + | 0.457835i | 0.967388 | − | 0.253299i | \(-0.0815155\pi\) |
−0.703057 | + | 0.711133i | \(0.748182\pi\) | |||||||
\(72\) | −4.82884 | + | 6.97727i | −0.569084 | + | 0.822279i | ||||
\(73\) | −1.79740 | − | 3.11319i | −0.210370 | − | 0.364371i | 0.741460 | − | 0.670997i | \(-0.234133\pi\) |
−0.951830 | + | 0.306625i | \(0.900800\pi\) | |||||||
\(74\) | −2.30100 | + | 4.56058i | −0.267485 | + | 0.530157i | ||||
\(75\) | 5.55263 | − | 5.14466i | 0.641162 | − | 0.594055i | ||||
\(76\) | 0.398102 | + | 3.51895i | 0.0456654 | + | 0.403651i | ||||
\(77\) | 1.80089 | − | 5.07049i | 0.205231 | − | 0.577836i | ||||
\(78\) | 1.58211 | − | 3.56071i | 0.179139 | − | 0.403171i | ||||
\(79\) | 9.17505 | + | 1.61781i | 1.03227 | + | 0.182018i | 0.664026 | − | 0.747710i | \(-0.268846\pi\) |
0.368248 | + | 0.929727i | \(0.379958\pi\) | |||||||
\(80\) | 2.92372 | − | 1.23557i | 0.326882 | − | 0.138141i | ||||
\(81\) | −0.198502 | − | 8.99781i | −0.0220557 | − | 0.999757i | ||||
\(82\) | 8.48050 | + | 9.02222i | 0.936515 | + | 0.996337i | ||||
\(83\) | −3.13441 | − | 2.63008i | −0.344046 | − | 0.288689i | 0.454348 | − | 0.890824i | \(-0.349872\pi\) |
−0.798394 | + | 0.602135i | \(0.794317\pi\) | |||||||
\(84\) | −8.62781 | + | 3.09207i | −0.941371 | + | 0.337372i | ||||
\(85\) | −1.00884 | − | 5.72143i | −0.109424 | − | 0.620577i | ||||
\(86\) | 5.24924 | + | 12.2313i | 0.566040 | + | 1.31894i | ||||
\(87\) | −3.01474 | + | 9.74865i | −0.323214 | + | 1.04517i | ||||
\(88\) | −0.0319553 | + | 5.75224i | −0.00340645 | + | 0.613191i | ||||
\(89\) | − | 7.90916i | − | 0.838369i | −0.907901 | − | 0.419185i | \(-0.862316\pi\) | ||
0.907901 | − | 0.419185i | \(-0.137684\pi\) | |||||||
\(90\) | −1.74103 | + | 2.88148i | −0.183520 | + | 0.303735i | ||||
\(91\) | 3.62822 | − | 2.13262i | 0.380340 | − | 0.223559i | ||||
\(92\) | −7.36670 | + | 7.75054i | −0.768032 | + | 0.808050i | ||||
\(93\) | 0.145526 | + | 2.95862i | 0.0150904 | + | 0.306795i | ||||
\(94\) | 14.2959 | − | 6.13527i | 1.47451 | − | 0.632804i | ||||
\(95\) | 0.243990 | + | 1.38374i | 0.0250329 | + | 0.141969i | ||||
\(96\) | 7.61959 | − | 6.15969i | 0.777671 | − | 0.628671i | ||||
\(97\) | −5.76063 | + | 2.09670i | −0.584903 | + | 0.212887i | −0.617486 | − | 0.786582i | \(-0.711849\pi\) |
0.0325829 | + | 0.999469i | \(0.489627\pi\) | |||||||
\(98\) | −9.52171 | − | 2.70871i | −0.961837 | − | 0.273621i | ||||
\(99\) | −3.55445 | − | 4.95897i | −0.357236 | − | 0.498395i | ||||
\(100\) | −7.82541 | + | 3.89384i | −0.782541 | + | 0.389384i | ||||
\(101\) | −6.02171 | + | 7.17639i | −0.599183 | + | 0.714078i | −0.977343 | − | 0.211662i | \(-0.932112\pi\) |
0.378160 | + | 0.925740i | \(0.376557\pi\) | |||||||
\(102\) | −7.87379 | − | 16.1128i | −0.779622 | − | 1.59541i | ||||
\(103\) | 0.0898087 | − | 0.0158357i | 0.00884911 | − | 0.00156034i | −0.169222 | − | 0.985578i | \(-0.554125\pi\) |
0.178071 | + | 0.984018i | \(0.443014\pi\) | |||||||
\(104\) | −2.91110 | + | 3.43042i | −0.285456 | + | 0.336381i | ||||
\(105\) | −3.34075 | + | 1.43615i | −0.326024 | + | 0.140154i | ||||
\(106\) | −18.3548 | − | 9.26071i | −1.78277 | − | 0.899479i | ||||
\(107\) | 1.07821 | + | 1.86751i | 0.104234 | + | 0.180539i | 0.913425 | − | 0.407007i | \(-0.133427\pi\) |
−0.809191 | + | 0.587546i | \(0.800094\pi\) | |||||||
\(108\) | −2.70684 | + | 10.0336i | −0.260465 | + | 0.965483i | ||||
\(109\) | 0.392658 | − | 0.680104i | 0.0376099 | − | 0.0651422i | −0.846608 | − | 0.532217i | \(-0.821359\pi\) |
0.884218 | + | 0.467075i | \(0.154692\pi\) | |||||||
\(110\) | 0.128484 | + | 2.27867i | 0.0122505 | + | 0.217263i | ||||
\(111\) | −0.782384 | + | 6.20710i | −0.0742606 | + | 0.589152i | ||||
\(112\) | 10.5649 | − | 0.619414i | 0.998286 | − | 0.0585291i | ||||
\(113\) | 1.09959 | − | 3.02109i | 0.103440 | − | 0.284200i | −0.877166 | − | 0.480187i | \(-0.840569\pi\) |
0.980606 | + | 0.195987i | \(0.0627911\pi\) | |||||||
\(114\) | 1.90429 | + | 3.89691i | 0.178353 | + | 0.364979i | ||||
\(115\) | −2.72705 | + | 3.24997i | −0.254299 | + | 0.303061i | ||||
\(116\) | 6.51114 | − | 9.82029i | 0.604544 | − | 0.911791i | ||||
\(117\) | 0.363459 | − | 4.75820i | 0.0336018 | − | 0.439896i | ||||
\(118\) | −14.6793 | + | 13.7979i | −1.35134 | + | 1.27020i | ||||
\(119\) | 3.21494 | − | 19.1020i | 0.294713 | − | 1.75108i | ||||
\(120\) | 2.86623 | − | 2.62620i | 0.261649 | − | 0.239738i | ||||
\(121\) | 6.44990 | + | 2.34757i | 0.586354 | + | 0.213416i | ||||
\(122\) | −7.25387 | + | 3.11310i | −0.656735 | + | 0.281846i | ||||
\(123\) | 13.4900 | + | 6.92816i | 1.21635 | + | 0.624691i | ||||
\(124\) | 0.801131 | − | 3.32531i | 0.0719437 | − | 0.298621i | ||||
\(125\) | −6.43937 | + | 3.71777i | −0.575954 | + | 0.332527i | ||||
\(126\) | −8.68564 | + | 7.11053i | −0.773779 | + | 0.633456i | ||||
\(127\) | −10.2587 | − | 5.92288i | −0.910315 | − | 0.525571i | −0.0297826 | − | 0.999556i | \(-0.509481\pi\) |
−0.880533 | + | 0.473986i | \(0.842815\pi\) | |||||||
\(128\) | −10.4456 | + | 4.34610i | −0.923273 | + | 0.384145i | ||||
\(129\) | 11.0793 | + | 11.9578i | 0.975474 | + | 1.05283i | ||||
\(130\) | −1.06863 | + | 1.42988i | −0.0937246 | + | 0.125409i | ||||
\(131\) | 5.81334 | − | 4.87797i | 0.507914 | − | 0.426190i | −0.352481 | − | 0.935819i | \(-0.614662\pi\) |
0.860394 | + | 0.509629i | \(0.170217\pi\) | |||||||
\(132\) | 2.32509 | + | 6.65041i | 0.202373 | + | 0.578844i | ||||
\(133\) | −0.777539 | + | 4.61985i | −0.0674211 | + | 0.400592i | ||||
\(134\) | −16.1838 | + | 3.80399i | −1.39806 | + | 0.328614i | ||||
\(135\) | −0.825721 | + | 4.03972i | −0.0710667 | + | 0.347684i | ||||
\(136\) | 3.48258 | + | 20.4132i | 0.298629 | + | 1.75042i | ||||
\(137\) | 7.39408 | + | 20.3151i | 0.631719 | + | 1.73563i | 0.676299 | + | 0.736627i | \(0.263583\pi\) |
−0.0445801 | + | 0.999006i | \(0.514195\pi\) | |||||||
\(138\) | −5.31766 | + | 11.9679i | −0.452669 | + | 1.01878i | ||||
\(139\) | −7.93738 | + | 1.39957i | −0.673240 | + | 0.118710i | −0.499809 | − | 0.866136i | \(-0.666596\pi\) |
−0.173431 | + | 0.984846i | \(0.555485\pi\) | |||||||
\(140\) | 4.16849 | − | 0.504511i | 0.352302 | − | 0.0426389i | ||||
\(141\) | 13.9762 | − | 12.9493i | 1.17701 | − | 1.09053i | ||||
\(142\) | −3.45201 | − | 5.26975i | −0.289686 | − | 0.442228i | ||||
\(143\) | −1.61753 | − | 2.80165i | −0.135265 | − | 0.234286i | ||||
\(144\) | 6.26269 | − | 10.2361i | 0.521891 | − | 0.853012i | ||||
\(145\) | 2.33746 | − | 4.04860i | 0.194116 | − | 0.336218i | ||||
\(146\) | 2.78573 | + | 4.25263i | 0.230549 | + | 0.351950i | ||||
\(147\) | −12.0990 | + | 0.784279i | −0.997906 | + | 0.0646862i | ||||
\(148\) | 2.88585 | − | 6.62260i | 0.237215 | − | 0.544375i | ||||
\(149\) | 2.75061 | − | 7.55724i | 0.225339 | − | 0.619113i | −0.774572 | − | 0.632486i | \(-0.782035\pi\) |
0.999911 | + | 0.0133727i | \(0.00425678\pi\) | |||||||
\(150\) | −7.43056 | + | 7.70619i | −0.606703 | + | 0.629207i | ||||
\(151\) | −8.68644 | − | 1.53165i | −0.706893 | − | 0.124644i | −0.191367 | − | 0.981519i | \(-0.561292\pi\) |
−0.515525 | + | 0.856874i | \(0.672403\pi\) | |||||||
\(152\) | −0.842268 | − | 4.93696i | −0.0683170 | − | 0.400440i | ||||
\(153\) | −15.7014 | − | 15.3589i | −1.26939 | − | 1.24169i | ||||
\(154\) | −2.13912 | + | 7.30277i | −0.172375 | + | 0.588474i | ||||
\(155\) | 0.235658 | − | 1.33648i | 0.0189285 | − | 0.107349i | ||||
\(156\) | −1.95041 | + | 5.15357i | −0.156158 | + | 0.412616i | ||||
\(157\) | −5.46900 | + | 4.58904i | −0.436474 | + | 0.366245i | −0.834388 | − | 0.551178i | \(-0.814179\pi\) |
0.397914 | + | 0.917423i | \(0.369734\pi\) | |||||||
\(158\) | −13.0837 | − | 1.55383i | −1.04088 | − | 0.123616i | ||||
\(159\) | −24.9814 | − | 3.14882i | −1.98116 | − | 0.249718i | ||||
\(160\) | −4.02984 | + | 1.97736i | −0.318587 | + | 0.156324i | ||||
\(161\) | −12.1948 | + | 7.16796i | −0.961088 | + | 0.564915i | ||||
\(162\) | 0.996637 | + | 12.6888i | 0.0783032 | + | 0.996930i | ||||
\(163\) | 5.72570 | − | 3.30573i | 0.448471 | − | 0.258925i | −0.258713 | − | 0.965954i | \(-0.583298\pi\) |
0.707184 | + | 0.707029i | \(0.249965\pi\) | |||||||
\(164\) | −12.6925 | − | 12.0639i | −0.991120 | − | 0.942035i | ||||
\(165\) | 1.08391 | + | 2.57651i | 0.0843824 | + | 0.200581i | ||||
\(166\) | 4.63509 | + | 3.46405i | 0.359752 | + | 0.268863i | ||||
\(167\) | 15.5382 | + | 5.65545i | 1.20238 | + | 0.437632i | 0.864056 | − | 0.503396i | \(-0.167916\pi\) |
0.338329 | + | 0.941028i | \(0.390138\pi\) | |||||||
\(168\) | 11.9360 | − | 5.05281i | 0.920886 | − | 0.389833i | ||||
\(169\) | −1.81805 | + | 10.3107i | −0.139850 | + | 0.793127i | ||||
\(170\) | 1.87997 | + | 7.99818i | 0.144187 | + | 0.613432i | ||||
\(171\) | 3.79742 | + | 3.71457i | 0.290396 | + | 0.284060i | ||||
\(172\) | −8.38556 | − | 16.8524i | −0.639393 | − | 1.28498i | ||||
\(173\) | −10.9709 | + | 13.0746i | −0.834104 | + | 0.994046i | 0.165865 | + | 0.986148i | \(0.446958\pi\) |
−0.999969 | + | 0.00789745i | \(0.997486\pi\) | |||||||
\(174\) | 3.48059 | − | 14.0048i | 0.263862 | − | 1.06170i | ||||
\(175\) | −11.3711 | + | 2.09652i | −0.859578 | + | 0.158482i | ||||
\(176\) | −0.412843 | − | 8.12454i | −0.0311192 | − | 0.612410i | ||||
\(177\) | −11.2722 | + | 21.9484i | −0.847272 | + | 1.64974i | ||||
\(178\) | 0.629686 | + | 11.1675i | 0.0471969 | + | 0.837040i | ||||
\(179\) | 5.73321 | 0.428520 | 0.214260 | − | 0.976777i | \(-0.431266\pi\) | ||||
0.214260 | + | 0.976777i | \(0.431266\pi\) | |||||||
\(180\) | 2.22887 | − | 4.20718i | 0.166130 | − | 0.313585i | ||||
\(181\) | 1.65561 | − | 2.86761i | 0.123061 | − | 0.213148i | −0.797912 | − | 0.602773i | \(-0.794062\pi\) |
0.920973 | + | 0.389626i | \(0.127396\pi\) | |||||||
\(182\) | −4.95315 | + | 3.30005i | −0.367152 | + | 0.244616i | ||||
\(183\) | −7.09167 | + | 6.57063i | −0.524232 | + | 0.485715i | ||||
\(184\) | 9.78451 | − | 11.5300i | 0.721324 | − | 0.850006i | ||||
\(185\) | 0.980304 | − | 2.69336i | 0.0720734 | − | 0.198020i | ||||
\(186\) | −0.441029 | − | 4.16590i | −0.0323378 | − | 0.305459i | ||||
\(187\) | −14.6638 | − | 2.58562i | −1.07232 | − | 0.189079i | ||||
\(188\) | −19.6969 | + | 9.80098i | −1.43654 | + | 0.714810i | ||||
\(189\) | −7.10233 | + | 11.7710i | −0.516619 | + | 0.856216i | ||||
\(190\) | −0.454673 | − | 1.93437i | −0.0329855 | − | 0.140334i | ||||
\(191\) | −1.38407 | + | 7.84945i | −0.100148 | + | 0.567966i | 0.892900 | + | 0.450255i | \(0.148667\pi\) |
−0.993048 | + | 0.117711i | \(0.962444\pi\) | |||||||
\(192\) | −10.2682 | + | 9.30394i | −0.741046 | + | 0.671454i | ||||
\(193\) | 17.0879 | + | 6.21947i | 1.23001 | + | 0.447687i | 0.873601 | − | 0.486643i | \(-0.161779\pi\) |
0.356410 | + | 0.934330i | \(0.384001\pi\) | |||||||
\(194\) | 7.96691 | − | 3.41911i | 0.571991 | − | 0.245478i | ||||
\(195\) | −0.645915 | + | 2.08867i | −0.0462549 | + | 0.149573i | ||||
\(196\) | 13.6600 | + | 3.06656i | 0.975716 | + | 0.219040i | ||||
\(197\) | −1.72623 | − | 0.996638i | −0.122989 | − | 0.0710075i | 0.437244 | − | 0.899343i | \(-0.355955\pi\) |
−0.560232 | + | 0.828336i | \(0.689288\pi\) | |||||||
\(198\) | 5.41358 | + | 6.71893i | 0.384727 | + | 0.477493i | ||||
\(199\) | − | 19.3083i | − | 1.36873i | −0.729141 | − | 0.684363i | \(-0.760080\pi\) | ||
0.729141 | − | 0.684363i | \(-0.239920\pi\) | |||||||
\(200\) | 10.7392 | − | 6.12101i | 0.759379 | − | 0.432821i | ||||
\(201\) | −17.1118 | + | 11.0346i | −1.20698 | + | 0.778319i | ||||
\(202\) | 7.93113 | − | 10.6123i | 0.558032 | − | 0.746677i | ||||
\(203\) | 11.8620 | − | 10.1119i | 0.832548 | − | 0.709719i | ||||
\(204\) | 12.4004 | + | 22.1240i | 0.868200 | + | 1.54899i | ||||
\(205\) | −5.32225 | − | 4.46590i | −0.371722 | − | 0.311912i | ||||
\(206\) | −0.125546 | + | 0.0295096i | −0.00874723 | + | 0.00205603i | ||||
\(207\) | −1.22163 | + | 15.9928i | −0.0849088 | + | 1.11158i | ||||
\(208\) | 3.83727 | − | 5.07543i | 0.266067 | − | 0.351917i | ||||
\(209\) | 3.54646 | + | 0.625336i | 0.245314 | + | 0.0432554i | ||||
\(210\) | 4.60270 | − | 2.29378i | 0.317617 | − | 0.158286i | ||||
\(211\) | 3.86008 | − | 10.6055i | 0.265739 | − | 0.730111i | −0.733015 | − | 0.680212i | \(-0.761888\pi\) |
0.998754 | − | 0.0498994i | \(-0.0158901\pi\) | |||||||
\(212\) | 26.6537 | + | 11.6145i | 1.83058 | + | 0.797690i | ||||
\(213\) | −6.14698 | − | 4.66311i | −0.421184 | − | 0.319511i | ||||
\(214\) | −1.67108 | − | 2.55103i | −0.114233 | − | 0.174385i | ||||
\(215\) | −3.73418 | − | 6.46779i | −0.254669 | − | 0.441100i | ||||
\(216\) | 3.02315 | − | 14.3826i | 0.205699 | − | 0.978615i | ||||
\(217\) | 2.23181 | − | 3.93613i | 0.151505 | − | 0.267202i | ||||
\(218\) | −0.500276 | + | 0.991549i | −0.0338830 | + | 0.0671562i | ||||
\(219\) | 4.96054 | + | 3.76308i | 0.335203 | + | 0.254286i | ||||
\(220\) | −0.362832 | − | 3.20719i | −0.0244621 | − | 0.216229i | ||||
\(221\) | −7.48597 | − | 8.92143i | −0.503561 | − | 0.600120i | ||||
\(222\) | 0.610526 | − | 8.82654i | 0.0409758 | − | 0.592398i | ||||
\(223\) | −13.9172 | − | 2.45397i | −0.931962 | − | 0.164330i | −0.313002 | − | 0.949753i | \(-0.601335\pi\) |
−0.618960 | + | 0.785423i | \(0.712446\pi\) | |||||||
\(224\) | −14.8680 | + | 1.71571i | −0.993408 | + | 0.114636i | ||||
\(225\) | −5.40955 | + | 11.9430i | −0.360637 | + | 0.796198i | ||||
\(226\) | −1.31206 | + | 4.35323i | −0.0872769 | + | 0.289572i | ||||
\(227\) | 0.262542 | − | 1.48895i | 0.0174255 | − | 0.0988251i | −0.974855 | − | 0.222842i | \(-0.928467\pi\) |
0.992280 | + | 0.124017i | \(0.0395777\pi\) | |||||||
\(228\) | −2.99905 | − | 5.35072i | −0.198617 | − | 0.354360i | ||||
\(229\) | 23.2497 | + | 8.46219i | 1.53638 | + | 0.559197i | 0.965174 | − | 0.261608i | \(-0.0842527\pi\) |
0.571208 | + | 0.820805i | \(0.306475\pi\) | |||||||
\(230\) | 3.59177 | − | 4.80598i | 0.236834 | − | 0.316897i | ||||
\(231\) | 0.530380 | + | 9.30473i | 0.0348965 | + | 0.612207i | ||||
\(232\) | −8.41170 | + | 14.3844i | −0.552255 | + | 0.944379i | ||||
\(233\) | 5.65175 | + | 3.26304i | 0.370258 | + | 0.213769i | 0.673571 | − | 0.739122i | \(-0.264759\pi\) |
−0.303313 | + | 0.952891i | \(0.598093\pi\) | |||||||
\(234\) | −0.134370 | + | 6.74738i | −0.00878405 | + | 0.441090i | ||||
\(235\) | −7.55950 | + | 4.36448i | −0.493127 | + | 0.284707i | ||||
\(236\) | 19.6282 | − | 20.6509i | 1.27769 | − | 1.34426i | ||||
\(237\) | −15.7348 | + | 3.57947i | −1.02209 | + | 0.232511i | ||||
\(238\) | −3.01860 | + | 27.2275i | −0.195667 | + | 1.76489i | ||||
\(239\) | −1.05591 | − | 5.98839i | −0.0683014 | − | 0.387357i | −0.999726 | − | 0.0234214i | \(-0.992544\pi\) |
0.931424 | − | 0.363935i | \(-0.118567\pi\) | |||||||
\(240\) | −3.83794 | + | 3.93631i | −0.247738 | + | 0.254088i | ||||
\(241\) | −3.93623 | + | 1.43267i | −0.253555 | + | 0.0922865i | −0.465671 | − | 0.884958i | \(-0.654187\pi\) |
0.212116 | + | 0.977245i | \(0.431965\pi\) | |||||||
\(242\) | −9.29397 | − | 2.80120i | −0.597439 | − | 0.180068i | ||||
\(243\) | 6.36021 | + | 14.2319i | 0.408008 | + | 0.912978i | ||||
\(244\) | 9.99441 | − | 4.97312i | 0.639826 | − | 0.318371i | ||||
\(245\) | 5.48462 | + | 0.879192i | 0.350399 | + | 0.0561695i | ||||
\(246\) | −19.5990 | − | 8.70836i | −1.24959 | − | 0.555225i | ||||
\(247\) | 1.81049 | + | 2.15766i | 0.115199 | + | 0.137289i | ||||
\(248\) | −0.866430 | + | 4.75902i | −0.0550184 | + | 0.302198i | ||||
\(249\) | 6.77064 | + | 2.09380i | 0.429072 | + | 0.132689i | ||||
\(250\) | 8.79621 | − | 5.76205i | 0.556321 | − | 0.364424i | ||||
\(251\) | −7.38095 | + | 12.7842i | −0.465881 | + | 0.806930i | −0.999241 | − | 0.0389585i | \(-0.987596\pi\) |
0.533360 | + | 0.845889i | \(0.320929\pi\) | |||||||
\(252\) | 11.6978 | − | 10.7314i | 0.736890 | − | 0.676012i | ||||
\(253\) | 5.43671 | + | 9.41666i | 0.341803 | + | 0.592021i | ||||
\(254\) | 14.9566 | + | 7.54619i | 0.938459 | + | 0.473490i | ||||
\(255\) | 5.45340 | + | 8.45684i | 0.341505 | + | 0.529588i | ||||
\(256\) | 14.4029 | − | 6.96820i | 0.900183 | − | 0.435512i | ||||
\(257\) | 1.06961 | − | 2.93873i | 0.0667204 | − | 0.183313i | −0.901852 | − | 0.432046i | \(-0.857792\pi\) |
0.968572 | + | 0.248733i | \(0.0800141\pi\) | |||||||
\(258\) | −16.5956 | − | 16.0020i | −1.03320 | − | 0.996243i | ||||
\(259\) | 6.08559 | − | 7.36837i | 0.378140 | − | 0.457848i | ||||
\(260\) | 1.39503 | − | 2.10402i | 0.0865160 | − | 0.130486i | ||||
\(261\) | −1.73449 | − | 17.5888i | −0.107362 | − | 1.08872i | ||||
\(262\) | −7.81991 | + | 7.35038i | −0.483115 | + | 0.454108i | ||||
\(263\) | −0.508983 | − | 0.427088i | −0.0313852 | − | 0.0263353i | 0.626960 | − | 0.779051i | \(-0.284299\pi\) |
−0.658345 | + | 0.752716i | \(0.728743\pi\) | |||||||
\(264\) | −3.81242 | − | 9.20507i | −0.234638 | − | 0.566533i | ||||
\(265\) | 10.8398 | + | 3.94538i | 0.665886 | + | 0.242363i | ||||
\(266\) | 0.730053 | − | 6.58500i | 0.0447624 | − | 0.403752i | ||||
\(267\) | 5.31212 | + | 12.6272i | 0.325096 | + | 0.772771i | ||||
\(268\) | 22.5482 | − | 6.65958i | 1.37735 | − | 0.406799i | ||||
\(269\) | 22.7943 | + | 13.1603i | 1.38979 | + | 0.802397i | 0.993292 | − | 0.115637i | \(-0.0368908\pi\) |
0.396502 | + | 0.918034i | \(0.370224\pi\) | |||||||
\(270\) | 0.844272 | − | 5.76971i | 0.0513808 | − | 0.351133i | ||||
\(271\) | −5.91037 | + | 3.41235i | −0.359029 | + | 0.207286i | −0.668655 | − | 0.743573i | \(-0.733130\pi\) |
0.309625 | + | 0.950859i | \(0.399796\pi\) | |||||||
\(272\) | −6.54250 | − | 28.5456i | −0.396697 | − | 1.73083i | ||||
\(273\) | −4.36019 | + | 5.84164i | −0.263891 | + | 0.353552i | ||||
\(274\) | −12.0576 | − | 28.0956i | −0.728426 | − | 1.69732i | ||||
\(275\) | 1.54342 | + | 8.75314i | 0.0930714 | + | 0.527834i | ||||
\(276\) | 6.55556 | − | 17.3217i | 0.394598 | − | 1.04265i | ||||
\(277\) | −16.5301 | − | 13.8704i | −0.993200 | − | 0.833394i | −0.00717226 | − | 0.999974i | \(-0.502283\pi\) |
−0.986028 | + | 0.166580i | \(0.946727\pi\) | |||||||
\(278\) | 11.0959 | − | 2.60809i | 0.665489 | − | 0.156423i | ||||
\(279\) | −2.21947 | − | 4.62578i | −0.132876 | − | 0.276938i | ||||
\(280\) | −5.84562 | + | 1.04423i | −0.349343 | + | 0.0624045i | ||||
\(281\) | 5.22589 | + | 14.3580i | 0.311750 | + | 0.856527i | 0.992304 | + | 0.123828i | \(0.0395172\pi\) |
−0.680553 | + | 0.732699i | \(0.738261\pi\) | |||||||
\(282\) | −18.7031 | + | 19.3968i | −1.11375 | + | 1.15506i | ||||
\(283\) | −26.4423 | + | 4.66249i | −1.57183 | + | 0.277156i | −0.890556 | − | 0.454873i | \(-0.849685\pi\) |
−0.681273 | + | 0.732029i | \(0.738574\pi\) | |||||||
\(284\) | 5.29368 | + | 7.16591i | 0.314122 | + | 0.425218i | ||||
\(285\) | −1.31891 | − | 2.04530i | −0.0781256 | − | 0.121153i | ||||
\(286\) | 2.50696 | + | 3.82707i | 0.148240 | + | 0.226299i | ||||
\(287\) | −11.7385 | − | 19.9706i | −0.692900 | − | 1.17883i | ||||
\(288\) | −8.02778 | + | 14.9517i | −0.473042 | + | 0.881040i | ||||
\(289\) | −36.6033 | −2.15314 | ||||||||
\(290\) | −2.97810 | + | 5.90260i | −0.174880 | + | 0.346613i | ||||
\(291\) | 7.78877 | − | 7.21651i | 0.456586 | − | 0.423039i | ||||
\(292\) | −4.27195 | − | 5.78281i | −0.249997 | − | 0.338413i | ||||
\(293\) | 14.0756 | − | 2.48191i | 0.822306 | − | 0.144995i | 0.253363 | − | 0.967371i | \(-0.418463\pi\) |
0.568943 | + | 0.822377i | \(0.307352\pi\) | |||||||
\(294\) | 17.0209 | − | 2.07063i | 0.992682 | − | 0.120762i | ||||
\(295\) | 7.26608 | − | 8.65937i | 0.423047 | − | 0.504168i | ||||
\(296\) | −3.54748 | + | 9.58068i | −0.206193 | + | 0.556866i | ||||
\(297\) | 9.00542 | + | 5.52981i | 0.522547 | + | 0.320872i | ||||
\(298\) | −3.28211 | + | 10.8896i | −0.190128 | + | 0.630817i | ||||
\(299\) | −1.47680 | + | 8.37537i | −0.0854058 | + | 0.484360i | ||||
\(300\) | 9.87821 | − | 11.4725i | 0.570319 | − | 0.662365i | ||||
\(301\) | −4.51496 | − | 24.4883i | −0.260238 | − | 1.41148i | ||||
\(302\) | 12.3869 | + | 1.47108i | 0.712789 | + | 0.0846513i | ||||
\(303\) | 4.79386 | − | 15.5017i | 0.275400 | − | 0.890551i | ||||
\(304\) | 1.58231 | + | 6.90379i | 0.0907519 | + | 0.395959i | ||||
\(305\) | 3.83577 | − | 2.21458i | 0.219635 | − | 0.126807i | ||||
\(306\) | 23.3928 | + | 20.4362i | 1.33728 | + | 1.16826i | ||||
\(307\) | −18.2767 | + | 10.5521i | −1.04311 | + | 0.602238i | −0.920712 | − | 0.390243i | \(-0.872391\pi\) |
−0.122395 | + | 0.992481i | \(0.539058\pi\) | |||||||
\(308\) | 2.43897 | − | 10.4816i | 0.138973 | − | 0.597245i | ||||
\(309\) | −0.132746 | + | 0.0856013i | −0.00755166 | + | 0.00486969i | ||||
\(310\) | −0.226338 | + | 1.90583i | −0.0128551 | + | 0.108244i | ||||
\(311\) | −1.51848 | − | 8.61172i | −0.0861050 | − | 0.488326i | −0.997113 | − | 0.0759365i | \(-0.975805\pi\) |
0.911008 | − | 0.412390i | \(-0.135306\pi\) | |||||||
\(312\) | 2.34363 | − | 7.43198i | 0.132682 | − | 0.420753i | ||||
\(313\) | −24.3635 | − | 20.4434i | −1.37710 | − | 1.15553i | −0.970270 | − | 0.242026i | \(-0.922188\pi\) |
−0.406835 | − | 0.913502i | \(-0.633367\pi\) | |||||||
\(314\) | 7.35672 | − | 6.91500i | 0.415164 | − | 0.390236i | ||||
\(315\) | 4.36901 | − | 4.53664i | 0.246166 | − | 0.255611i | ||||
\(316\) | 18.5975 | + | 1.15231i | 1.04619 | + | 0.0648223i | ||||
\(317\) | 8.12140 | + | 22.3133i | 0.456143 | + | 1.25324i | 0.928334 | + | 0.371746i | \(0.121241\pi\) |
−0.472191 | + | 0.881496i | \(0.656537\pi\) | |||||||
\(318\) | 35.5237 | + | 2.45716i | 1.99207 | + | 0.137790i | ||||
\(319\) | −7.70163 | − | 9.17845i | −0.431209 | − | 0.513894i | ||||
\(320\) | 5.53259 | − | 3.11280i | 0.309281 | − | 0.174011i | ||||
\(321\) | −2.97569 | − | 2.25736i | −0.166087 | − | 0.125994i | ||||
\(322\) | 16.6481 | − | 11.0918i | 0.927761 | − | 0.618124i | ||||
\(323\) | 12.9640 | 0.721339 | ||||||||
\(324\) | −2.41744 | − | 17.8369i | −0.134302 | − | 0.990940i | ||||
\(325\) | −3.47591 | + | 6.02046i | −0.192809 | + | 0.333955i | ||||
\(326\) | −7.82133 | + | 5.12345i | −0.433184 | + | 0.283762i | ||||
\(327\) | −0.170104 | + | 1.34953i | −0.00940676 | + | 0.0746292i | ||||
\(328\) | 18.8819 | + | 16.0234i | 1.04258 | + | 0.884745i | ||||
\(329\) | −28.6217 | + | 5.27704i | −1.57796 | + | 0.290933i | ||||
\(330\) | −1.73558 | − | 3.55167i | −0.0955405 | − | 0.195513i | ||||
\(331\) | −6.89119 | − | 18.9334i | −0.378774 | − | 1.04067i | −0.971865 | − | 0.235538i | \(-0.924315\pi\) |
0.593091 | − | 0.805136i | \(-0.297908\pi\) | |||||||
\(332\) | −6.82040 | − | 4.52212i | −0.374318 | − | 0.248184i | ||||
\(333\) | −2.91985 | − | 10.4353i | −0.160007 | − | 0.571850i | ||||
\(334\) | −22.3898 | − | 6.74826i | −1.22511 | − | 0.369249i | ||||
\(335\) | 8.76568 | − | 3.19045i | 0.478920 | − | 0.174313i | ||||
\(336\) | −16.4511 | + | 8.08471i | −0.897479 | + | 0.441057i | ||||
\(337\) | 0.0389681 | − | 0.0326981i | 0.00212273 | − | 0.00178118i | −0.641726 | − | 0.766934i | \(-0.721781\pi\) |
0.643848 | + | 0.765153i | \(0.277337\pi\) | |||||||
\(338\) | 1.74615 | − | 14.7031i | 0.0949780 | − | 0.799743i | ||||
\(339\) | 0.273568 | + | 5.56177i | 0.0148582 | + | 0.302074i | ||||
\(340\) | −3.29123 | − | 11.1435i | −0.178492 | − | 0.604342i | ||||
\(341\) | −3.01219 | − | 1.73909i | −0.163119 | − | 0.0941770i | ||||
\(342\) | −5.65758 | − | 4.94253i | −0.305927 | − | 0.267261i | ||||
\(343\) | 16.2511 | + | 8.88271i | 0.877476 | + | 0.479621i | ||||
\(344\) | 13.1819 | + | 23.1274i | 0.710719 | + | 1.24695i | ||||
\(345\) | 2.17099 | − | 7.02026i | 0.116882 | − | 0.377958i | ||||
\(346\) | 14.4497 | − | 19.3344i | 0.776820 | − | 1.03943i | ||||
\(347\) | 10.5556 | + | 3.84191i | 0.566652 | + | 0.206244i | 0.609429 | − | 0.792840i | \(-0.291399\pi\) |
−0.0427779 | + | 0.999085i | \(0.513621\pi\) | |||||||
\(348\) | −3.79949 | + | 20.0515i | −0.203674 | + | 1.07487i | ||||
\(349\) | 4.43558 | + | 3.72189i | 0.237431 | + | 0.199228i | 0.753738 | − | 0.657176i | \(-0.228249\pi\) |
−0.516306 | + | 0.856404i | \(0.672693\pi\) | |||||||
\(350\) | 15.8888 | − | 3.86554i | 0.849292 | − | 0.206622i | ||||
\(351\) | 2.61553 | + | 7.84071i | 0.139607 | + | 0.418506i | ||||
\(352\) | 1.22976 | + | 11.4387i | 0.0655462 | + | 0.609687i | ||||
\(353\) | −7.53448 | − | 20.7008i | −0.401020 | − | 1.10179i | −0.961782 | − | 0.273816i | \(-0.911714\pi\) |
0.560762 | − | 0.827977i | \(-0.310508\pi\) | |||||||
\(354\) | 14.1686 | − | 31.8879i | 0.753054 | − | 1.69482i | ||||
\(355\) | 2.27213 | + | 2.70781i | 0.120592 | + | 0.143716i | ||||
\(356\) | −1.77820 | − | 15.7181i | −0.0942442 | − | 0.833055i | ||||
\(357\) | 7.69697 | + | 32.6562i | 0.407367 | + | 1.72835i | ||||
\(358\) | −8.09513 | + | 0.456448i | −0.427841 | + | 0.0241240i | ||||
\(359\) | 24.0906 | 1.27145 | 0.635726 | − | 0.771915i | \(-0.280701\pi\) | ||||
0.635726 | + | 0.771915i | \(0.280701\pi\) | |||||||
\(360\) | −2.81215 | + | 6.11787i | −0.148213 | + | 0.322440i | ||||
\(361\) | 15.8646 | 0.834980 | ||||||||
\(362\) | −2.10937 | + | 4.18079i | −0.110866 | + | 0.219737i | ||||
\(363\) | −11.8742 | + | 0.584057i | −0.623232 | + | 0.0306550i | ||||
\(364\) | 6.73097 | − | 5.05392i | 0.352798 | − | 0.264897i | ||||
\(365\) | −1.83358 | − | 2.18518i | −0.0959740 | − | 0.114377i | ||||
\(366\) | 9.49012 | − | 9.84214i | 0.496056 | − | 0.514457i | ||||
\(367\) | −1.80198 | − | 0.317738i | −0.0940626 | − | 0.0165858i | 0.126419 | − | 0.991977i | \(-0.459652\pi\) |
−0.220481 | + | 0.975391i | \(0.570763\pi\) | |||||||
\(368\) | −12.8975 | + | 17.0591i | −0.672328 | + | 0.889265i | ||||
\(369\) | −26.1904 | − | 2.00057i | −1.36342 | − | 0.104146i | ||||
\(370\) | −1.16973 | + | 3.88100i | −0.0608113 | + | 0.201763i | ||||
\(371\) | 29.6551 | + | 24.4924i | 1.53962 | + | 1.27158i | ||||
\(372\) | 0.954387 | + | 5.84702i | 0.0494826 | + | 0.303154i | ||||
\(373\) | 1.64898 | + | 9.35184i | 0.0853810 | + | 0.484220i | 0.997274 | + | 0.0737912i | \(0.0235098\pi\) |
−0.911893 | + | 0.410429i | \(0.865379\pi\) | |||||||
\(374\) | 20.9107 | + | 2.48337i | 1.08127 | + | 0.128412i | ||||
\(375\) | 7.78361 | − | 10.2605i | 0.401944 | − | 0.529848i | ||||
\(376\) | 27.0311 | − | 15.4069i | 1.39402 | − | 0.794548i | ||||
\(377\) | − | 9.37133i | − | 0.482648i | ||||||
\(378\) | 9.09114 | − | 17.1858i | 0.467598 | − | 0.883941i | ||||
\(379\) | − | 18.4607i | − | 0.948262i | −0.880454 | − | 0.474131i | \(-0.842762\pi\) | ||
0.880454 | − | 0.474131i | \(-0.157238\pi\) | |||||||
\(380\) | 0.795990 | + | 2.69508i | 0.0408334 | + | 0.138255i | ||||
\(381\) | 20.3564 | + | 2.56585i | 1.04289 | + | 0.131453i | ||||
\(382\) | 1.32933 | − | 11.1934i | 0.0680147 | − | 0.572704i | ||||
\(383\) | −1.43266 | − | 8.12503i | −0.0732056 | − | 0.415170i | −0.999284 | − | 0.0378383i | \(-0.987953\pi\) |
0.926078 | − | 0.377332i | \(-0.123158\pi\) | |||||||
\(384\) | 13.7577 | − | 13.9544i | 0.702071 | − | 0.712107i | ||||
\(385\) | 0.708653 | − | 4.21056i | 0.0361163 | − | 0.214590i | ||||
\(386\) | −24.6227 | − | 7.42127i | −1.25326 | − | 0.377732i | ||||
\(387\) | −25.7197 | − | 11.6497i | −1.30741 | − | 0.592188i | ||||
\(388\) | −10.9768 | + | 5.46196i | −0.557265 | + | 0.277289i | ||||
\(389\) | −6.43740 | − | 1.13509i | −0.326389 | − | 0.0575512i | 0.00805290 | − | 0.999968i | \(-0.497437\pi\) |
−0.334442 | + | 0.942416i | \(0.608548\pi\) | |||||||
\(390\) | 0.745724 | − | 3.00057i | 0.0377612 | − | 0.151940i | ||||
\(391\) | 25.1612 | + | 29.9859i | 1.27246 | + | 1.51645i | ||||
\(392\) | −19.5317 | − | 3.24235i | −0.986500 | − | 0.163763i | ||||
\(393\) | −6.00491 | + | 11.6923i | −0.302907 | + | 0.589798i | ||||
\(394\) | 2.51673 | + | 1.26979i | 0.126791 | + | 0.0639711i | ||||
\(395\) | 7.39290 | 0.371977 | ||||||||
\(396\) | −8.17875 | − | 9.05593i | −0.410998 | − | 0.455078i | ||||
\(397\) | 15.6028 | 0.783084 | 0.391542 | − | 0.920160i | \(-0.371942\pi\) | ||||
0.391542 | + | 0.920160i | \(0.371942\pi\) | |||||||
\(398\) | 1.53722 | + | 27.2627i | 0.0770540 | + | 1.36656i | ||||
\(399\) | −1.86152 | − | 7.89795i | −0.0931927 | − | 0.395392i | ||||
\(400\) | −14.6762 | + | 9.49769i | −0.733808 | + | 0.474885i | ||||
\(401\) | −17.7020 | − | 21.0964i | −0.883994 | − | 1.05350i | −0.998196 | − | 0.0600456i | \(-0.980875\pi\) |
0.114201 | − | 0.993458i | \(-0.463569\pi\) | |||||||
\(402\) | 23.2829 | − | 16.9428i | 1.16125 | − | 0.845033i | ||||
\(403\) | −0.930443 | − | 2.55637i | −0.0463487 | − | 0.127342i | ||||
\(404\) | −10.3536 | + | 15.6157i | −0.515112 | + | 0.776908i | ||||
\(405\) | −1.39496 | − | 7.00412i | −0.0693161 | − | 0.348037i | ||||
\(406\) | −15.9437 | + | 15.2221i | −0.791274 | + | 0.755462i | ||||
\(407\) | −5.62735 | − | 4.72191i | −0.278937 | − | 0.234056i | ||||
\(408\) | −19.2704 | − | 30.2512i | −0.954026 | − | 1.49766i | ||||
\(409\) | −9.54873 | − | 3.47545i | −0.472154 | − | 0.171850i | 0.0949736 | − | 0.995480i | \(-0.469723\pi\) |
−0.567128 | + | 0.823630i | \(0.691946\pi\) | |||||||
\(410\) | 7.87041 | + | 5.88199i | 0.388692 | + | 0.290491i | ||||
\(411\) | −25.4493 | − | 27.4674i | −1.25532 | − | 1.35487i | ||||
\(412\) | 0.174919 | − | 0.0516621i | 0.00861762 | − | 0.00254521i | ||||
\(413\) | 32.4925 | − | 19.0987i | 1.59885 | − | 0.939783i | ||||
\(414\) | 0.451633 | − | 22.6787i | 0.0221966 | − | 1.11460i | ||||
\(415\) | −2.81184 | − | 1.62341i | −0.138028 | − | 0.0796903i | ||||
\(416\) | −5.01403 | + | 7.47186i | −0.245833 | + | 0.366338i | ||||
\(417\) | 11.7322 | − | 7.56553i | 0.574529 | − | 0.370485i | ||||
\(418\) | −5.05728 | − | 0.600606i | −0.247360 | − | 0.0293766i | ||||
\(419\) | −13.9545 | + | 11.7092i | −0.681724 | + | 0.572034i | −0.916509 | − | 0.400013i | \(-0.869006\pi\) |
0.234786 | + | 0.972047i | \(0.424561\pi\) | |||||||
\(420\) | −6.31626 | + | 3.60520i | −0.308202 | + | 0.175916i | ||||
\(421\) | −27.8943 | + | 10.1527i | −1.35948 | + | 0.494812i | −0.915895 | − | 0.401419i | \(-0.868517\pi\) |
−0.443589 | + | 0.896230i | \(0.646295\pi\) | |||||||
\(422\) | −4.60597 | + | 15.2819i | −0.224215 | + | 0.743914i | ||||
\(423\) | −13.6161 | + | 30.0610i | −0.662037 | + | 1.46162i | ||||
\(424\) | −38.5589 | − | 14.2774i | −1.87259 | − | 0.693370i | ||||
\(425\) | 10.9436 | + | 30.0674i | 0.530844 | + | 1.45848i | ||||
\(426\) | 9.05061 | + | 6.09479i | 0.438503 | + | 0.295294i | ||||
\(427\) | 14.5229 | − | 2.67763i | 0.702814 | − | 0.129579i | ||||
\(428\) | 2.56262 | + | 3.46894i | 0.123869 | + | 0.167677i | ||||
\(429\) | 4.46414 | + | 3.38651i | 0.215531 | + | 0.163502i | ||||
\(430\) | 5.78749 | + | 8.83504i | 0.279097 | + | 0.426063i | ||||
\(431\) | 3.76944 | − | 6.52886i | 0.181567 | − | 0.314484i | −0.760847 | − | 0.648931i | \(-0.775216\pi\) |
0.942414 | + | 0.334447i | \(0.108550\pi\) | |||||||
\(432\) | −3.12353 | + | 20.5486i | −0.150281 | + | 0.988643i | ||||
\(433\) | 15.7137 | 0.755152 | 0.377576 | − | 0.925979i | \(-0.376758\pi\) | ||||
0.377576 | + | 0.925979i | \(0.376758\pi\) | |||||||
\(434\) | −2.83788 | + | 5.73538i | −0.136223 | + | 0.275307i | ||||
\(435\) | −1.01261 | + | 8.03363i | −0.0485510 | + | 0.385183i | ||||
\(436\) | 0.627433 | − | 1.43987i | 0.0300486 | − | 0.0689571i | ||||
\(437\) | −6.08527 | − | 7.25214i | −0.291098 | − | 0.346917i | ||||
\(438\) | −7.30374 | − | 4.91843i | −0.348986 | − | 0.235012i | ||||
\(439\) | 6.38320 | + | 17.5377i | 0.304653 | + | 0.837029i | 0.993676 | + | 0.112288i | \(0.0358180\pi\) |
−0.689022 | + | 0.724740i | \(0.741960\pi\) | |||||||
\(440\) | 0.767648 | + | 4.49957i | 0.0365962 | + | 0.214509i | ||||
\(441\) | 18.7896 | − | 9.37828i | 0.894741 | − | 0.446585i | ||||
\(442\) | 11.2802 | + | 12.0008i | 0.536547 | + | 0.570820i | ||||
\(443\) | 1.13338 | + | 0.951018i | 0.0538484 | + | 0.0451842i | 0.669315 | − | 0.742979i | \(-0.266588\pi\) |
−0.615466 | + | 0.788163i | \(0.711032\pi\) | |||||||
\(444\) | −0.159323 | + | 12.5114i | −0.00756113 | + | 0.593766i | ||||
\(445\) | −1.08983 | − | 6.18073i | −0.0516628 | − | 0.292995i | ||||
\(446\) | 19.8460 | + | 2.35692i | 0.939735 | + | 0.111604i | ||||
\(447\) | 0.684330 | + | 13.9128i | 0.0323677 | + | 0.658051i | ||||
\(448\) | 20.8565 | − | 3.60625i | 0.985379 | − | 0.170379i | ||||
\(449\) | −30.7406 | + | 17.7481i | −1.45074 | + | 0.837584i | −0.998523 | − | 0.0543258i | \(-0.982699\pi\) |
−0.452214 | + | 0.891909i | \(0.649366\pi\) | |||||||
\(450\) | 6.68730 | − | 17.2938i | 0.315242 | − | 0.815238i | ||||
\(451\) | −15.4210 | + | 8.90332i | −0.726147 | + | 0.419241i | ||||
\(452\) | 1.50601 | − | 6.25109i | 0.0708367 | − | 0.294026i | ||||
\(453\) | 14.8969 | − | 3.38885i | 0.699916 | − | 0.159222i | ||||
\(454\) | −0.252159 | + | 2.12326i | −0.0118344 | + | 0.0996494i | ||||
\(455\) | 2.54146 | − | 2.16651i | 0.119146 | − | 0.101567i | ||||
\(456\) | 4.66057 | + | 7.31629i | 0.218251 | + | 0.342617i | ||||
\(457\) | −2.52347 | + | 14.3113i | −0.118043 | + | 0.669456i | 0.867155 | + | 0.498038i | \(0.165946\pi\) |
−0.985198 | + | 0.171418i | \(0.945165\pi\) | |||||||
\(458\) | −33.5016 | − | 10.0974i | −1.56543 | − | 0.471818i | ||||
\(459\) | 35.3834 | + | 13.9751i | 1.65156 | + | 0.652302i | ||||
\(460\) | −4.68884 | + | 7.07186i | −0.218618 | + | 0.329727i | ||||
\(461\) | 7.16036 | − | 8.53339i | 0.333491 | − | 0.397440i | −0.573075 | − | 0.819503i | \(-0.694250\pi\) |
0.906566 | + | 0.422063i | \(0.138694\pi\) | |||||||
\(462\) | −1.48968 | − | 13.0958i | −0.0693060 | − | 0.609271i | ||||
\(463\) | −16.2732 | + | 2.86940i | −0.756278 | + | 0.133352i | −0.538476 | − | 0.842641i | \(-0.681000\pi\) |
−0.217802 | + | 0.975993i | \(0.569889\pi\) | |||||||
\(464\) | 10.7319 | − | 20.9800i | 0.498214 | − | 0.973971i | ||||
\(465\) | 0.521402 | + | 2.29200i | 0.0241794 | + | 0.106289i | ||||
\(466\) | −8.23989 | − | 4.15735i | −0.381706 | − | 0.192586i | ||||
\(467\) | −19.1575 | −0.886502 | −0.443251 | − | 0.896398i | \(-0.646175\pi\) | ||||
−0.443251 | + | 0.896398i | \(0.646175\pi\) | |||||||
\(468\) | −0.347464 | − | 9.53780i | −0.0160615 | − | 0.440885i | ||||
\(469\) | 31.1012 | − | 0.242342i | 1.43612 | − | 0.0111903i | ||||
\(470\) | 10.3263 | − | 6.76437i | 0.476318 | − | 0.312017i | ||||
\(471\) | 5.64922 | − | 10.9997i | 0.260302 | − | 0.506841i | ||||
\(472\) | −26.0703 | + | 30.7212i | −1.19998 | + | 1.41406i | ||||
\(473\) | −18.8503 | + | 3.32381i | −0.866737 | + | 0.152829i | ||||
\(474\) | 21.9321 | − | 6.30683i | 1.00738 | − | 0.289682i | ||||
\(475\) | −2.64673 | − | 7.27184i | −0.121440 | − | 0.333655i | ||||
\(476\) | 2.09447 | − | 38.6847i | 0.0959998 | − | 1.77311i | ||||
\(477\) | 41.9984 | − | 11.7514i | 1.92297 | − | 0.538058i | ||||
\(478\) | 1.96768 | + | 8.37136i | 0.0899998 | + | 0.382897i | ||||
\(479\) | 1.71312 | + | 1.43748i | 0.0782747 | + | 0.0656802i | 0.681085 | − | 0.732204i | \(-0.261508\pi\) |
−0.602811 | + | 0.797884i | \(0.705953\pi\) | |||||||
\(480\) | 5.10568 | − | 5.86351i | 0.233041 | − | 0.267631i | ||||
\(481\) | −0.997714 | − | 5.65832i | −0.0454919 | − | 0.257997i | ||||
\(482\) | 5.44378 | − | 2.33627i | 0.247957 | − | 0.106414i | ||||
\(483\) | 14.6551 | − | 19.6344i | 0.666829 | − | 0.893396i | ||||
\(484\) | 13.3458 | + | 3.21527i | 0.606629 | + | 0.146149i | ||||
\(485\) | −4.21282 | + | 2.43227i | −0.191294 | + | 0.110444i | ||||
\(486\) | −10.1135 | − | 19.5887i | −0.458758 | − | 0.888561i | ||||
\(487\) | 36.2296 | + | 20.9172i | 1.64172 | + | 0.947849i | 0.980221 | + | 0.197904i | \(0.0634134\pi\) |
0.661500 | + | 0.749945i | \(0.269920\pi\) | |||||||
\(488\) | −13.7159 | + | 7.81760i | −0.620889 | + | 0.353886i | ||||
\(489\) | −6.92096 | + | 9.12331i | −0.312977 | + | 0.412570i | ||||
\(490\) | −7.81412 | − | 0.804737i | −0.353006 | − | 0.0363543i | ||||
\(491\) | 4.24457 | + | 1.54490i | 0.191555 | + | 0.0697203i | 0.436016 | − | 0.899939i | \(-0.356389\pi\) |
−0.244461 | + | 0.969659i | \(0.578611\pi\) | |||||||
\(492\) | 28.3666 | + | 10.7356i | 1.27886 | + | 0.483997i | ||||
\(493\) | −33.0420 | − | 27.7255i | −1.48814 | − | 1.24869i | ||||
\(494\) | −2.72815 | − | 2.90241i | −0.122745 | − | 0.130586i | ||||
\(495\) | −3.46099 | − | 3.38548i | −0.155560 | − | 0.152166i | ||||
\(496\) | 0.844486 | − | 6.78858i | 0.0379185 | − | 0.304816i | ||||
\(497\) | 4.11713 | + | 11.0432i | 0.184678 | + | 0.495356i | ||||
\(498\) | −9.72664 | − | 2.41734i | −0.435861 | − | 0.108323i | ||||
\(499\) | −13.1423 | + | 36.1083i | −0.588332 | + | 1.61643i | 0.185220 | + | 0.982697i | \(0.440700\pi\) |
−0.773552 | + | 0.633732i | \(0.781522\pi\) | |||||||
\(500\) | −11.9612 | + | 8.83615i | −0.534923 | + | 0.395165i | ||||
\(501\) | −28.6056 | + | 1.40703i | −1.27801 | + | 0.0628615i | ||||
\(502\) | 9.40387 | − | 18.6385i | 0.419715 | − | 0.831878i | ||||
\(503\) | −0.622584 | − | 1.07835i | −0.0277596 | − | 0.0480811i | 0.851812 | − | 0.523848i | \(-0.175504\pi\) |
−0.879571 | + | 0.475767i | \(0.842171\pi\) | |||||||
\(504\) | −15.6625 | + | 16.0837i | −0.697665 | + | 0.716424i | ||||
\(505\) | −3.71689 | + | 6.43785i | −0.165400 | + | 0.286480i | ||||
\(506\) | −8.42618 | − | 12.8632i | −0.374590 | − | 0.571839i | ||||
\(507\) | −4.02250 | − | 17.6823i | −0.178646 | − | 0.785299i | ||||
\(508\) | −21.7190 | − | 9.46423i | −0.963626 | − | 0.419907i | ||||
\(509\) | 5.02606 | + | 5.98983i | 0.222776 | + | 0.265494i | 0.865843 | − | 0.500316i | \(-0.166783\pi\) |
−0.643067 | + | 0.765810i | \(0.722338\pi\) | |||||||
\(510\) | −8.37333 | − | 11.5066i | −0.370777 | − | 0.509523i | ||||
\(511\) | −3.32248 | − | 8.91175i | −0.146978 | − | 0.394233i | ||||
\(512\) | −19.7817 | + | 10.9856i | −0.874238 | + | 0.485498i | ||||
\(513\) | −8.55753 | − | 3.37990i | −0.377824 | − | 0.149226i | ||||
\(514\) | −1.27629 | + | 4.23456i | −0.0562948 | + | 0.186778i | ||||
\(515\) | 0.0680002 | − | 0.0247501i | 0.00299645 | − | 0.00109062i | ||||
\(516\) | 24.7065 | + | 21.2732i | 1.08764 | + | 0.936498i | ||||
\(517\) | 3.88485 | + | 22.0321i | 0.170855 | + | 0.968969i | ||||
\(518\) | −8.00605 | + | 10.8884i | −0.351765 | + | 0.478410i | ||||
\(519\) | 8.73391 | − | 28.2425i | 0.383376 | − | 1.23971i | ||||
\(520\) | −1.80223 | + | 3.08188i | −0.0790329 | + | 0.135150i | ||||
\(521\) | −9.97306 | + | 5.75795i | −0.436928 | + | 0.252260i | −0.702294 | − | 0.711887i | \(-0.747841\pi\) |
0.265366 | + | 0.964148i | \(0.414507\pi\) | |||||||
\(522\) | 3.84937 | + | 24.6968i | 0.168482 | + | 1.08095i | ||||
\(523\) | −17.0473 | − | 9.84224i | −0.745425 | − | 0.430371i | 0.0786137 | − | 0.996905i | \(-0.474951\pi\) |
−0.824038 | + | 0.566534i | \(0.808284\pi\) | |||||||
\(524\) | 10.4563 | − | 11.0011i | 0.456785 | − | 0.480585i | ||||
\(525\) | 16.7462 | − | 10.9845i | 0.730865 | − | 0.479402i | ||||
\(526\) | 0.752672 | + | 0.562513i | 0.0328181 | + | 0.0245267i | ||||
\(527\) | −11.7662 | − | 4.28253i | −0.512542 | − | 0.186550i | ||||
\(528\) | 6.11589 | + | 12.6938i | 0.266160 | + | 0.552425i | ||||
\(529\) | 0.969793 | − | 5.49997i | 0.0421649 | − | 0.239129i | ||||
\(530\) | −15.6197 | − | 4.70775i | −0.678474 | − | 0.204492i | ||||
\(531\) | 3.25495 | − | 42.6121i | 0.141253 | − | 1.84921i | ||||
\(532\) | −0.506551 | + | 9.35595i | −0.0219617 | + | 0.405632i | ||||
\(533\) | −13.7158 | − | 2.41846i | −0.594095 | − | 0.104755i | ||||
\(534\) | −8.50586 | − | 17.4063i | −0.368085 | − | 0.753244i | ||||
\(535\) | 1.09991 | + | 1.31082i | 0.0475533 | + | 0.0566719i | ||||
\(536\) | −31.3071 | + | 11.1983i | −1.35226 | + | 0.483693i | ||||
\(537\) | −9.15322 | + | 3.85066i | −0.394991 | + | 0.166168i | ||||
\(538\) | −33.2326 | − | 16.7672i | −1.43276 | − | 0.722885i | ||||
\(539\) | 6.92515 | − | 12.4384i | 0.298288 | − | 0.535760i | ||||
\(540\) | −0.732733 | + | 8.21388i | −0.0315318 | + | 0.353469i | ||||
\(541\) | −3.54794 | − | 6.14521i | −0.152538 | − | 0.264203i | 0.779622 | − | 0.626250i | \(-0.215411\pi\) |
−0.932160 | + | 0.362047i | \(0.882078\pi\) | |||||||
\(542\) | 8.07360 | − | 5.28870i | 0.346791 | − | 0.227169i | ||||
\(543\) | −0.717229 | + | 5.69019i | −0.0307792 | + | 0.244189i | ||||
\(544\) | 11.5105 | + | 39.7846i | 0.493507 | + | 1.70575i | ||||
\(545\) | 0.213135 | − | 0.585583i | 0.00912969 | − | 0.0250836i | ||||
\(546\) | 5.69138 | − | 8.59536i | 0.243569 | − | 0.367847i | ||||
\(547\) | 27.1086 | + | 4.77997i | 1.15908 | + | 0.204377i | 0.719936 | − | 0.694040i | \(-0.244171\pi\) |
0.439143 | + | 0.898417i | \(0.355282\pi\) | |||||||
\(548\) | 19.2618 | + | 38.7102i | 0.822824 | + | 1.65362i | ||||
\(549\) | 6.90894 | − | 15.2532i | 0.294867 | − | 0.650993i | ||||
\(550\) | −2.87614 | − | 12.2363i | −0.122639 | − | 0.521758i | ||||
\(551\) | 7.99126 | + | 6.70546i | 0.340439 | + | 0.285662i | ||||
\(552\) | −7.87719 | + | 24.9797i | −0.335276 | + | 1.06321i | ||||
\(553\) | 23.2278 | + | 8.24985i | 0.987748 | + | 0.350819i | ||||
\(554\) | 24.4444 | + | 18.2686i | 1.03854 | + | 0.776159i | ||||
\(555\) | 0.243892 | + | 4.95844i | 0.0103526 | + | 0.210474i | ||||
\(556\) | −15.4595 | + | 4.56594i | −0.655628 | + | 0.193639i | ||||
\(557\) | 26.5015i | 1.12291i | 0.827508 | + | 0.561453i | \(0.189758\pi\) | ||||
−0.827508 | + | 0.561453i | \(0.810242\pi\) | |||||||
\(558\) | 3.50210 | + | 6.35476i | 0.148256 | + | 0.269018i | ||||
\(559\) | −12.9653 | − | 7.48553i | −0.548374 | − | 0.316604i | ||||
\(560\) | 8.17071 | − | 1.93982i | 0.345276 | − | 0.0819722i | ||||
\(561\) | 25.1477 | − | 5.72079i | 1.06174 | − | 0.241532i | ||||
\(562\) | −8.52191 | − | 19.8570i | −0.359475 | − | 0.837618i | ||||
\(563\) | 21.7410 | + | 7.91307i | 0.916273 | + | 0.333496i | 0.756755 | − | 0.653699i | \(-0.226784\pi\) |
0.159518 | + | 0.987195i | \(0.449006\pi\) | |||||||
\(564\) | 24.8639 | − | 28.8768i | 1.04696 | − | 1.21593i | ||||
\(565\) | 0.443001 | − | 2.51239i | 0.0186372 | − | 0.105697i | ||||
\(566\) | 36.9645 | − | 8.68849i | 1.55373 | − | 0.365204i | ||||
\(567\) | 3.43316 | − | 23.5630i | 0.144179 | − | 0.989552i | ||||
\(568\) | −8.04504 | − | 9.69659i | −0.337562 | − | 0.406860i | ||||
\(569\) | 24.7233 | + | 4.35938i | 1.03645 | + | 0.182755i | 0.665888 | − | 0.746052i | \(-0.268053\pi\) |
0.370565 | + | 0.928806i | \(0.379164\pi\) | |||||||
\(570\) | 2.02510 | + | 2.78290i | 0.0848222 | + | 0.116563i | ||||
\(571\) | −4.16942 | + | 11.4554i | −0.174485 | + | 0.479393i | −0.995850 | − | 0.0910094i | \(-0.970991\pi\) |
0.821365 | + | 0.570403i | \(0.193213\pi\) | |||||||
\(572\) | −3.84445 | − | 5.20412i | −0.160745 | − | 0.217595i | ||||
\(573\) | −3.06231 | − | 13.4615i | −0.127930 | − | 0.562361i | ||||
\(574\) | 18.1643 | + | 27.2634i | 0.758165 | + | 1.13795i | ||||
\(575\) | 11.6829 | − | 20.2354i | 0.487212 | − | 0.843875i | ||||
\(576\) | 10.1446 | − | 21.7506i | 0.422692 | − | 0.906273i | ||||
\(577\) | −9.83529 | −0.409449 | −0.204724 | − | 0.978820i | \(-0.565630\pi\) | ||||
−0.204724 | + | 0.978820i | \(0.565630\pi\) | |||||||
\(578\) | 51.6828 | − | 2.91416i | 2.14972 | − | 0.121213i | ||||
\(579\) | −31.4585 | + | 1.54735i | −1.30737 | + | 0.0643059i | ||||
\(580\) | 3.73505 | − | 8.57140i | 0.155090 | − | 0.355908i | ||||
\(581\) | −7.02294 | − | 8.23839i | −0.291361 | − | 0.341786i | ||||
\(582\) | −10.4230 | + | 10.8096i | −0.432046 | + | 0.448073i | ||||
\(583\) | 19.0040 | − | 22.6481i | 0.787066 | − | 0.937989i | ||||
\(584\) | 6.49226 | + | 7.82505i | 0.268652 | + | 0.323803i | ||||
\(585\) | −0.371618 | − | 3.76845i | −0.0153645 | − | 0.155806i | ||||
\(586\) | −19.6768 | + | 4.62501i | −0.812839 | + | 0.191057i | ||||
\(587\) | −5.17871 | + | 29.3699i | −0.213748 | + | 1.21223i | 0.669317 | + | 0.742977i | \(0.266587\pi\) |
−0.883066 | + | 0.469250i | \(0.844524\pi\) | |||||||
\(588\) | −23.8682 | + | 4.27879i | −0.984309 | + | 0.176454i | ||||
\(589\) | 2.84567 | + | 1.03574i | 0.117254 | + | 0.0426768i | ||||
\(590\) | −9.57007 | + | 12.8053i | −0.393994 | + | 0.527184i | ||||
\(591\) | 3.42535 | + | 0.431754i | 0.140900 | + | 0.0177600i | ||||
\(592\) | 4.24617 | − | 13.8101i | 0.174517 | − | 0.567590i | ||||
\(593\) | 13.9554 | − | 8.05717i | 0.573081 | − | 0.330868i | −0.185298 | − | 0.982682i | \(-0.559325\pi\) |
0.758379 | + | 0.651814i | \(0.225992\pi\) | |||||||
\(594\) | −13.1556 | − | 7.09096i | −0.539783 | − | 0.290946i | ||||
\(595\) | −0.119768 | − | 15.3705i | −0.00491001 | − | 0.630131i | ||||
\(596\) | 3.76728 | − | 15.6371i | 0.154314 | − | 0.640520i | ||||
\(597\) | 12.9682 | + | 30.8262i | 0.530754 | + | 1.26163i | ||||
\(598\) | 1.41840 | − | 11.9434i | 0.0580027 | − | 0.488400i | ||||
\(599\) | −27.8463 | + | 23.3658i | −1.13777 | + | 0.954701i | −0.999363 | − | 0.0356744i | \(-0.988642\pi\) |
−0.138405 | + | 0.990376i | \(0.544198\pi\) | |||||||
\(600\) | −13.0344 | + | 16.9853i | −0.532126 | + | 0.693421i | ||||
\(601\) | −2.55108 | + | 14.4679i | −0.104061 | + | 0.590158i | 0.887531 | + | 0.460749i | \(0.152419\pi\) |
−0.991591 | + | 0.129409i | \(0.958692\pi\) | |||||||
\(602\) | 8.32461 | + | 34.2172i | 0.339286 | + | 1.39459i | ||||
\(603\) | 19.9082 | − | 29.1100i | 0.810726 | − | 1.18545i | ||||
\(604\) | −17.6071 | − | 1.09094i | −0.716424 | − | 0.0443898i | ||||
\(605\) | 5.36385 | + | 0.945791i | 0.218071 | + | 0.0384519i | ||||
\(606\) | −5.53462 | + | 22.2697i | −0.224829 | + | 0.904643i | ||||
\(607\) | −5.10561 | + | 14.0275i | −0.207230 | + | 0.569361i | −0.999148 | − | 0.0412670i | \(-0.986861\pi\) |
0.791918 | + | 0.610628i | \(0.209083\pi\) | |||||||
\(608\) | −2.78382 | − | 9.62197i | −0.112899 | − | 0.390222i | ||||
\(609\) | −12.1464 | + | 24.1110i | −0.492197 | + | 0.977026i | ||||
\(610\) | −5.23968 | + | 3.43231i | −0.212148 | + | 0.138970i | ||||
\(611\) | −8.74902 | + | 15.1538i | −0.353948 | + | 0.613055i | ||||
\(612\) | −34.6569 | − | 26.9929i | −1.40092 | − | 1.09112i | ||||
\(613\) | −3.78715 | − | 6.55954i | −0.152962 | − | 0.264937i | 0.779353 | − | 0.626585i | \(-0.215548\pi\) |
−0.932315 | + | 0.361647i | \(0.882214\pi\) | |||||||
\(614\) | 24.9661 | − | 16.3543i | 1.00755 | − | 0.660006i | ||||
\(615\) | 11.4966 | + | 3.55528i | 0.463587 | + | 0.143363i | ||||
\(616\) | −2.60926 | + | 14.9939i | −0.105130 | + | 0.604121i | ||||
\(617\) | −10.6833 | + | 1.88376i | −0.430095 | + | 0.0758373i | −0.384505 | − | 0.923123i | \(-0.625628\pi\) |
−0.0455899 | + | 0.998960i | \(0.514517\pi\) | |||||||
\(618\) | 0.180618 | − | 0.131435i | 0.00726554 | − | 0.00528709i | ||||
\(619\) | −6.96809 | − | 19.1447i | −0.280071 | − | 0.769490i | −0.997353 | − | 0.0727067i | \(-0.976836\pi\) |
0.717282 | − | 0.696783i | \(-0.245386\pi\) | |||||||
\(620\) | 0.167850 | − | 2.70900i | 0.00674103 | − | 0.108796i | ||||
\(621\) | −8.79109 | − | 26.3535i | −0.352774 | − | 1.05753i | ||||
\(622\) | 2.82967 | + | 12.0386i | 0.113459 | + | 0.482704i | ||||
\(623\) | 3.47302 | − | 20.6354i | 0.139144 | − | 0.826742i | ||||
\(624\) | −2.71744 | + | 10.6803i | −0.108785 | + | 0.427555i | ||||
\(625\) | 12.2195 | − | 10.2534i | 0.488779 | − | 0.410134i | ||||
\(626\) | 36.0281 | + | 26.9258i | 1.43997 | + | 1.07617i | ||||
\(627\) | −6.08202 | + | 1.38358i | −0.242892 | + | 0.0552549i | ||||
\(628\) | −9.83693 | + | 10.3495i | −0.392536 | + | 0.412989i | ||||
\(629\) | −22.9022 | − | 13.2226i | −0.913171 | − | 0.527220i | ||||
\(630\) | −5.80774 | + | 6.75345i | −0.231386 | + | 0.269064i | ||||
\(631\) | 1.15005 | − | 0.663979i | 0.0457826 | − | 0.0264326i | −0.476934 | − | 0.878939i | \(-0.658252\pi\) |
0.522717 | + | 0.852507i | \(0.324919\pi\) | |||||||
\(632\) | −26.3509 | − | 0.146387i | −1.04818 | − | 0.00582295i | ||||
\(633\) | 0.960357 | + | 19.5245i | 0.0381708 | + | 0.776030i | ||||
\(634\) | −13.2436 | − | 30.8592i | −0.525972 | − | 1.22558i | ||||
\(635\) | −8.83296 | − | 3.21494i | −0.350526 | − | 0.127581i | ||||
\(636\) | −50.3541 | − | 0.641219i | −1.99667 | − | 0.0254260i | ||||
\(637\) | 10.4027 | − | 3.97092i | 0.412169 | − | 0.157334i | ||||
\(638\) | 11.6052 | + | 12.3465i | 0.459455 | + | 0.488804i | ||||
\(639\) | 12.9458 | + | 3.31622i | 0.512126 | + | 0.131188i | ||||
\(640\) | −7.56403 | + | 4.83566i | −0.298995 | + | 0.191146i | ||||
\(641\) | −26.6213 | + | 31.7260i | −1.05148 | + | 1.25310i | −0.0849909 | + | 0.996382i | \(0.527086\pi\) |
−0.966486 | + | 0.256720i | \(0.917358\pi\) | |||||||
\(642\) | 4.38130 | + | 2.95042i | 0.172916 | + | 0.116444i | ||||
\(643\) | 8.96318 | − | 24.6261i | 0.353473 | − | 0.971160i | −0.627772 | − | 0.778397i | \(-0.716033\pi\) |
0.981245 | − | 0.192763i | \(-0.0617448\pi\) | |||||||
\(644\) | −22.6235 | + | 16.9868i | −0.891492 | + | 0.669373i | ||||
\(645\) | 10.3058 | + | 7.81797i | 0.405789 | + | 0.307832i | ||||
\(646\) | −18.3049 | + | 1.03213i | −0.720195 | + | 0.0406086i | ||||
\(647\) | −12.2917 | + | 21.2898i | −0.483235 | + | 0.836987i | −0.999815 | − | 0.0192516i | \(-0.993872\pi\) |
0.516580 | + | 0.856239i | \(0.327205\pi\) | |||||||
\(648\) | 4.83344 | + | 24.9928i | 0.189875 | + | 0.981808i | ||||
\(649\) | −14.4858 | − | 25.0902i | −0.568619 | − | 0.984876i | ||||
\(650\) | 4.42857 | − | 8.77744i | 0.173703 | − | 0.344280i | ||||
\(651\) | −0.919485 | + | 7.78311i | −0.0360375 | + | 0.305044i | ||||
\(652\) | 10.6356 | − | 7.85685i | 0.416522 | − | 0.307698i | ||||
\(653\) | 21.0649 | − | 3.71431i | 0.824334 | − | 0.145352i | 0.254459 | − | 0.967084i | \(-0.418103\pi\) |
0.569875 | + | 0.821731i | \(0.306992\pi\) | |||||||
\(654\) | 0.132739 | − | 1.91904i | 0.00519050 | − | 0.0750404i | ||||
\(655\) | 3.87077 | − | 4.61300i | 0.151243 | − | 0.180245i | ||||
\(656\) | −27.9364 | − | 21.1213i | −1.09073 | − | 0.824649i | ||||
\(657\) | −10.4471 | − | 2.67616i | −0.407580 | − | 0.104407i | ||||
\(658\) | 39.9928 | − | 9.72974i | 1.55908 | − | 0.379305i | ||||
\(659\) | −0.281639 | + | 0.102508i | −0.0109711 | + | 0.00399315i | −0.347500 | − | 0.937680i | \(-0.612969\pi\) |
0.336529 | + | 0.941673i | \(0.390747\pi\) | |||||||
\(660\) | 2.73335 | + | 4.87667i | 0.106396 | + | 0.189824i | ||||
\(661\) | 4.83767 | + | 27.4358i | 0.188164 | + | 1.06713i | 0.921823 | + | 0.387612i | \(0.126700\pi\) |
−0.733659 | + | 0.679518i | \(0.762189\pi\) | |||||||
\(662\) | 11.2375 | + | 26.1848i | 0.436760 | + | 1.01770i | ||||
\(663\) | 17.9436 | + | 9.21542i | 0.696870 | + | 0.357897i | ||||
\(664\) | 9.99023 | + | 5.84210i | 0.387696 | + | 0.226717i | ||||
\(665\) | 0.0289661 | + | 3.71739i | 0.00112326 | + | 0.144154i | ||||
\(666\) | 4.95354 | + | 14.5019i | 0.191946 | + | 0.561936i | ||||
\(667\) | 31.4981i | 1.21961i | ||||||||
\(668\) | 32.1510 | + | 7.74579i | 1.24396 | + | 0.299694i | ||||
\(669\) | 23.8673 | − | 5.42951i | 0.922763 | − | 0.209917i | ||||
\(670\) | −12.1229 | + | 5.20269i | −0.468347 | + | 0.200998i | ||||
\(671\) | −1.97121 | − | 11.1793i | −0.0760977 | − | 0.431572i | ||||
\(672\) | 22.5848 | − | 12.7251i | 0.871226 | − | 0.490882i | ||||
\(673\) | 4.30481 | + | 3.61216i | 0.165938 | + | 0.139239i | 0.721975 | − | 0.691919i | \(-0.243234\pi\) |
−0.556037 | + | 0.831157i | \(0.687679\pi\) | |||||||
\(674\) | −0.0524186 | + | 0.0492713i | −0.00201909 | + | 0.00189786i | ||||
\(675\) | 0.615110 | − | 22.7006i | 0.0236756 | − | 0.873745i | ||||
\(676\) | −1.29493 | + | 20.8993i | −0.0498049 | + | 0.803821i | ||||
\(677\) | −8.85711 | − | 1.56175i | −0.340406 | − | 0.0600228i | 0.000831985 | − | 1.00000i | \(-0.499735\pi\) |
−0.341238 | + | 0.939977i | \(0.610846\pi\) | |||||||
\(678\) | −0.829069 | − | 7.83128i | −0.0318402 | − | 0.300758i | ||||
\(679\) | −15.9505 | + | 2.94083i | −0.612124 | + | 0.112859i | ||||
\(680\) | 5.53431 | + | 15.4723i | 0.212231 | + | 0.593336i | ||||
\(681\) | 0.580885 | + | 2.55348i | 0.0222596 | + | 0.0978497i | ||||
\(682\) | 4.39158 | + | 2.21573i | 0.168162 | + | 0.0848447i | ||||
\(683\) | 18.9460 | + | 32.8154i | 0.724947 | + | 1.25565i | 0.958996 | + | 0.283421i | \(0.0914693\pi\) |
−0.234048 | + | 0.972225i | \(0.575197\pi\) | |||||||
\(684\) | 8.38183 | + | 6.52828i | 0.320487 | + | 0.249615i | ||||
\(685\) | 8.57749 | + | 14.8566i | 0.327729 | + | 0.567643i | ||||
\(686\) | −23.6532 | − | 11.2483i | −0.903085 | − | 0.429462i | ||||
\(687\) | −42.8023 | + | 2.10533i | −1.63301 | + | 0.0803232i | ||||
\(688\) | −20.4537 | − | 31.6058i | −0.779790 | − | 1.20496i | ||||
\(689\) | 22.7728 | − | 4.01545i | 0.867573 | − | 0.152977i | ||||
\(690\) | −2.50646 | + | 10.0852i | −0.0954194 | + | 0.383939i | ||||
\(691\) | −8.75744 | + | 10.4367i | −0.333149 | + | 0.397031i | −0.906450 | − | 0.422314i | \(-0.861218\pi\) |
0.573301 | + | 0.819345i | \(0.305663\pi\) | |||||||
\(692\) | −18.8632 | + | 28.4501i | −0.717072 | + | 1.08151i | ||||
\(693\) | −7.09621 | − | 14.4990i | −0.269563 | − | 0.550773i | ||||
\(694\) | −15.2100 | − | 4.58428i | −0.577364 | − | 0.174017i | ||||
\(695\) | −6.00993 | + | 2.18743i | −0.227969 | + | 0.0829741i | ||||
\(696\) | 3.76838 | − | 28.6146i | 0.142840 | − | 1.08464i | ||||
\(697\) | −49.1059 | + | 41.2047i | −1.86002 | + | 1.56074i | ||||
\(698\) | −6.55923 | − | 4.90207i | −0.248270 | − | 0.185546i | ||||
\(699\) | −11.2148 | − | 1.41358i | −0.424181 | − | 0.0534666i | ||||
\(700\) | −22.1268 | + | 6.72301i | −0.836313 | + | 0.254106i | ||||
\(701\) | − | 44.6510i | − | 1.68645i | −0.537563 | − | 0.843223i | \(-0.680655\pi\) | ||
0.537563 | − | 0.843223i | \(-0.319345\pi\) | |||||||
\(702\) | −4.31729 | − | 10.8626i | −0.162946 | − | 0.409983i | ||||
\(703\) | 5.53894 | + | 3.19791i | 0.208905 | + | 0.120611i | ||||
\(704\) | −2.64707 | − | 16.0533i | −0.0997653 | − | 0.605030i | ||||
\(705\) | 9.13758 | − | 12.0453i | 0.344141 | − | 0.453652i | ||||
\(706\) | 12.2866 | + | 28.6291i | 0.462411 | + | 1.07747i | ||||
\(707\) | −18.8622 | + | 16.0794i | −0.709388 | + | 0.604728i | ||||
\(708\) | −17.4669 | + | 46.1528i | −0.656448 | + | 1.73453i | ||||
\(709\) | −25.9051 | + | 9.42868i | −0.972886 | + | 0.354101i | −0.779070 | − | 0.626937i | \(-0.784308\pi\) |
−0.193815 | + | 0.981038i | \(0.562086\pi\) | |||||||
\(710\) | −3.42376 | − | 3.64246i | −0.128491 | − | 0.136699i | ||||
\(711\) | 22.7169 | − | 16.2829i | 0.851951 | − | 0.610655i | ||||
\(712\) | 3.76215 | + | 22.0519i | 0.140992 | + | 0.826429i | ||||
\(713\) | 3.12732 | + | 8.59225i | 0.117119 | + | 0.321782i | ||||
\(714\) | −13.4678 | − | 45.4968i | −0.504020 | − | 1.70267i | ||||
\(715\) | −1.65009 | − | 1.96651i | −0.0617100 | − | 0.0735431i | ||||
\(716\) | 11.3937 | − | 1.28898i | 0.425804 | − | 0.0481715i | ||||
\(717\) | 5.70784 | + | 8.85143i | 0.213163 | + | 0.330563i | ||||
\(718\) | −34.0152 | + | 1.91797i | −1.26944 | + | 0.0715778i | ||||
\(719\) | −6.51896 | + | 11.2912i | −0.243116 | + | 0.421089i | −0.961600 | − | 0.274454i | \(-0.911503\pi\) |
0.718484 | + | 0.695543i | \(0.244836\pi\) | |||||||
\(720\) | 3.48359 | − | 8.86214i | 0.129826 | − | 0.330273i | ||||
\(721\) | 0.241270 | − | 0.00187998i | 0.00898535 | − | 7.00143e-5i | ||||
\(722\) | −22.4004 | + | 1.26306i | −0.833656 | + | 0.0470062i | ||||
\(723\) | 5.32206 | − | 4.93103i | 0.197929 | − | 0.183387i | ||||
\(724\) | 2.64552 | − | 6.07109i | 0.0983201 | − | 0.225630i | ||||
\(725\) | −8.80607 | + | 24.1945i | −0.327049 | + | 0.898560i | ||||
\(726\) | 16.7195 | − | 1.77003i | 0.620518 | − | 0.0656920i | ||||
\(727\) | −20.8441 | + | 24.8410i | −0.773065 | + | 0.921303i | −0.998598 | − | 0.0529322i | \(-0.983143\pi\) |
0.225533 | + | 0.974236i | \(0.427588\pi\) | |||||||
\(728\) | −9.10156 | + | 7.67187i | −0.337326 | + | 0.284338i | ||||
\(729\) | −19.7130 | − | 18.4499i | −0.730111 | − | 0.683329i | ||||
\(730\) | 2.76294 | + | 2.93943i | 0.102261 | + | 0.108793i | ||||
\(731\) | −64.7514 | + | 23.5676i | −2.39492 | + | 0.871679i | ||||
\(732\) | −12.6162 | + | 14.6524i | −0.466308 | + | 0.541567i | ||||
\(733\) | 36.1597 | − | 30.3416i | 1.33559 | − | 1.12069i | 0.352855 | − | 0.935678i | \(-0.385211\pi\) |
0.982736 | − | 0.185016i | \(-0.0592337\pi\) | |||||||
\(734\) | 2.56964 | + | 0.305172i | 0.0948471 | + | 0.0112641i | ||||
\(735\) | −9.34684 | + | 2.28004i | −0.344763 | + | 0.0841006i | ||||
\(736\) | 16.8527 | − | 25.1137i | 0.621200 | − | 0.925705i | ||||
\(737\) | − | 23.9079i | − | 0.880657i | ||||||
\(738\) | 37.1393 | + | 0.739608i | 1.36712 | + | 0.0272253i | ||||
\(739\) | 19.6789i | 0.723899i | 0.932198 | + | 0.361949i | \(0.117889\pi\) | ||||
−0.932198 | + | 0.361949i | \(0.882111\pi\) | |||||||
\(740\) | 1.34264 | − | 5.57298i | 0.0493564 | − | 0.204867i | ||||
\(741\) | −4.33968 | − | 2.22876i | −0.159422 | − | 0.0818757i | ||||
\(742\) | −43.8221 | − | 32.2215i | −1.60876 | − | 1.18289i | ||||
\(743\) | 21.0569 | − | 17.6688i | 0.772503 | − | 0.648207i | −0.168846 | − | 0.985643i | \(-0.554004\pi\) |
0.941349 | + | 0.337435i | \(0.109559\pi\) | |||||||
\(744\) | −1.81307 | − | 8.17983i | −0.0664705 | − | 0.299887i | ||||
\(745\) | 1.10817 | − | 6.28473i | 0.0406001 | − | 0.230255i | ||||
\(746\) | −3.07286 | − | 13.0732i | −0.112505 | − | 0.478645i | ||||
\(747\) | −12.2158 | + | 1.20464i | −0.446952 | + | 0.0440753i | ||||
\(748\) | −29.7230 | − | 1.84164i | −1.08678 | − | 0.0673371i | ||||
\(749\) | 1.99306 | + | 5.34590i | 0.0728247 | + | 0.195335i | ||||
\(750\) | −10.1733 | + | 15.1072i | −0.371478 | + | 0.551636i | ||||
\(751\) | −23.5971 | + | 4.16081i | −0.861070 | + | 0.151830i | −0.586710 | − | 0.809797i | \(-0.699577\pi\) |
−0.274360 | + | 0.961627i | \(0.588466\pi\) | |||||||
\(752\) | −36.9406 | + | 23.9061i | −1.34708 | + | 0.871766i | ||||
\(753\) | 3.19750 | − | 25.3676i | 0.116523 | − | 0.924448i | ||||
\(754\) | 0.746096 | + | 13.2320i | 0.0271712 | + | 0.481883i | ||||
\(755\) | −6.99920 | −0.254727 | ||||||||
\(756\) | −11.4682 | + | 24.9896i | −0.417094 | + | 0.908864i | ||||
\(757\) | 33.0690 | 1.20191 | 0.600957 | − | 0.799281i | \(-0.294786\pi\) | ||||
0.600957 | + | 0.799281i | \(0.294786\pi\) | |||||||
\(758\) | 1.46974 | + | 26.0659i | 0.0533834 | + | 0.946758i | ||||
\(759\) | −15.0045 | − | 11.3824i | −0.544628 | − | 0.413156i | ||||
\(760\) | −1.33848 | − | 3.74200i | −0.0485519 | − | 0.135737i | ||||
\(761\) | −26.4161 | + | 4.65788i | −0.957585 | + | 0.168848i | −0.630536 | − | 0.776160i | \(-0.717165\pi\) |
−0.327048 | + | 0.945008i | \(0.606054\pi\) | |||||||
\(762\) | −28.9469 | − | 2.00224i | −1.04864 | − | 0.0725335i | ||||
\(763\) | 1.32311 | − | 1.60201i | 0.0478999 | − | 0.0579966i | ||||
\(764\) | −0.985823 | + | 15.9106i | −0.0356658 | + | 0.575624i | ||||
\(765\) | −14.3865 | − | 9.83885i | −0.520144 | − | 0.355724i | ||||
\(766\) | 2.66975 | + | 11.3583i | 0.0964620 | + | 0.410390i | ||||
\(767\) | 3.93486 | − | 22.3157i | 0.142080 | − | 0.805774i | ||||
\(768\) | −18.3145 | + | 20.7985i | −0.660869 | + | 0.750502i | ||||
\(769\) | −28.4299 | + | 23.8555i | −1.02521 | + | 0.860253i | −0.990273 | − | 0.139137i | \(-0.955567\pi\) |
−0.0349363 | + | 0.999390i | \(0.511123\pi\) | |||||||
\(770\) | −0.665375 | + | 6.00161i | −0.0239784 | + | 0.216283i | ||||
\(771\) | 0.266110 | + | 5.41015i | 0.00958373 | + | 0.194842i | ||||
\(772\) | 35.3574 | + | 8.51828i | 1.27254 | + | 0.306580i | ||||
\(773\) | − | 51.2688i | − | 1.84401i | −0.387175 | − | 0.922006i | \(-0.626549\pi\) | ||
0.387175 | − | 0.922006i | \(-0.373451\pi\) | |||||||
\(774\) | 37.2430 | + | 14.4014i | 1.33867 | + | 0.517647i | ||||
\(775\) | 7.47424i | 0.268483i | ||||||||
\(776\) | 15.0641 | − | 8.58605i | 0.540770 | − | 0.308221i | ||||
\(777\) | −4.76691 | + | 15.8511i | −0.171012 | + | 0.568656i | ||||
\(778\) | 9.17978 | + | 1.09020i | 0.329111 | + | 0.0390855i | ||||
\(779\) | 11.8763 | − | 9.96542i | 0.425514 | − | 0.357048i | ||||
\(780\) | −0.814051 | + | 4.29609i | −0.0291477 | + | 0.153825i | ||||
\(781\) | 8.51318 | − | 3.09854i | 0.304625 | − | 0.110875i | ||||
\(782\) | −37.9142 | − | 40.3360i | −1.35581 | − | 1.44241i | ||||
\(783\) | 14.5825 | + | 26.9160i | 0.521137 | + | 0.961901i | ||||
\(784\) | 27.8363 | + | 3.02309i | 0.994154 | + | 0.107968i | ||||
\(785\) | −3.64149 | + | 4.33976i | −0.129970 | + | 0.154893i | ||||
\(786\) | 7.54787 | − | 16.9873i | 0.269224 | − | 0.605915i | ||||
\(787\) | 9.37260 | − | 25.7510i | 0.334097 | − | 0.917924i | −0.652937 | − | 0.757412i | \(-0.726463\pi\) |
0.987034 | − | 0.160512i | \(-0.0513144\pi\) | |||||||
\(788\) | −3.65464 | − | 1.59254i | −0.130191 | − | 0.0567318i | ||||
\(789\) | 1.09945 | + | 0.340003i | 0.0391416 | + | 0.0121044i | ||||
\(790\) | −10.4386 | + | 0.588584i | −0.371387 | + | 0.0209409i | ||||
\(791\) | 4.19548 | − | 7.39934i | 0.149174 | − | 0.263090i | ||||
\(792\) | 12.2691 | + | 12.1356i | 0.435965 | + | 0.431218i | ||||
\(793\) | 4.43934 | − | 7.68917i | 0.157646 | − | 0.273050i | ||||
\(794\) | −22.0307 | + | 1.24222i | −0.781842 | + | 0.0440846i | ||||
\(795\) | −19.9560 | + | 0.981579i | −0.707766 | + | 0.0348130i | ||||
\(796\) | −4.34103 | − | 38.3718i | −0.153864 | − | 1.36005i | ||||
\(797\) | 9.62153 | + | 11.4665i | 0.340812 | + | 0.406164i | 0.909041 | − | 0.416706i | \(-0.136816\pi\) |
−0.568229 | + | 0.822870i | \(0.692371\pi\) | |||||||
\(798\) | 3.25721 | + | 11.0035i | 0.115304 | + | 0.389519i | ||||
\(799\) | 27.5456 | + | 75.6809i | 0.974493 | + | 2.67740i | ||||
\(800\) | 19.9662 | − | 14.5789i | 0.705911 | − | 0.515442i | ||||
\(801\) | −16.9619 | − | 16.5918i | −0.599318 | − | 0.586243i | ||||
\(802\) | 26.6742 | + | 28.3781i | 0.941900 | + | 1.00207i | ||||
\(803\) | −6.87004 | + | 2.50049i | −0.242439 | + | 0.0882404i | ||||
\(804\) | −31.5259 | + | 25.7765i | −1.11183 | + | 0.909066i | ||||
\(805\) | −8.54213 | + | 7.28187i | −0.301071 | + | 0.256652i | ||||
\(806\) | 1.51728 | + | 3.53545i | 0.0534440 | + | 0.124531i | ||||
\(807\) | −45.2307 | − | 5.70118i | −1.59220 | − | 0.200691i | ||||
\(808\) | 13.3758 | − | 22.8732i | 0.470559 | − | 0.804675i | ||||
\(809\) | 5.63879 | + | 3.25556i | 0.198249 | + | 0.114459i | 0.595839 | − | 0.803104i | \(-0.296820\pi\) |
−0.397589 | + | 0.917563i | \(0.630153\pi\) | |||||||
\(810\) | 2.52727 | + | 9.77855i | 0.0887993 | + | 0.343583i | ||||
\(811\) | 40.6079i | 1.42594i | 0.701196 | + | 0.712969i | \(0.252650\pi\) | ||||
−0.701196 | + | 0.712969i | \(0.747350\pi\) | |||||||
\(812\) | 21.3002 | − | 22.7626i | 0.747489 | − | 0.798810i | ||||
\(813\) | 7.14419 | − | 9.41756i | 0.250558 | − | 0.330288i | ||||
\(814\) | 8.32159 | + | 6.21917i | 0.291671 | + | 0.217982i | ||||
\(815\) | 4.01892 | − | 3.37228i | 0.140777 | − | 0.118126i | ||||
\(816\) | 29.6176 | + | 41.1795i | 1.03682 | + | 1.44157i | ||||
\(817\) | 15.6602 | − | 5.69986i | 0.547882 | − | 0.199413i | ||||
\(818\) | 13.7592 | + | 4.14702i | 0.481080 | + | 0.144997i | ||||
\(819\) | 3.03768 | − | 12.2548i | 0.106145 | − | 0.428218i | ||||
\(820\) | −11.5811 | − | 7.67859i | −0.404429 | − | 0.268148i | ||||
\(821\) | 9.81497 | − | 11.6970i | 0.342545 | − | 0.408229i | −0.567078 | − | 0.823664i | \(-0.691926\pi\) |
0.909623 | + | 0.415435i | \(0.136371\pi\) | |||||||
\(822\) | 38.1204 | + | 36.7570i | 1.32960 | + | 1.28205i | ||||
\(823\) | 32.1857 | − | 5.67520i | 1.12192 | − | 0.197825i | 0.418237 | − | 0.908338i | \(-0.362648\pi\) |
0.703684 | + | 0.710513i | \(0.251537\pi\) | |||||||
\(824\) | −0.242867 | + | 0.0868714i | −0.00846066 | + | 0.00302631i | ||||
\(825\) | −8.34308 | − | 12.9380i | −0.290469 | − | 0.450444i | ||||
\(826\) | −44.3579 | + | 29.5536i | −1.54341 | + | 1.02830i | ||||
\(827\) | −21.1490 | − | 36.6312i | −0.735423 | − | 1.27379i | −0.954537 | − | 0.298091i | \(-0.903650\pi\) |
0.219114 | − | 0.975699i | \(-0.429683\pi\) | |||||||
\(828\) | 1.16786 | + | 32.0576i | 0.0405861 | + | 1.11408i | ||||
\(829\) | −3.76673 | − | 6.52417i | −0.130824 | − | 0.226594i | 0.793171 | − | 0.609000i | \(-0.208429\pi\) |
−0.923994 | + | 0.382406i | \(0.875096\pi\) | |||||||
\(830\) | 4.09948 | + | 2.06835i | 0.142295 | + | 0.0717935i | ||||
\(831\) | 35.7068 | + | 11.0422i | 1.23865 | + | 0.383050i | ||||
\(832\) | 6.48480 | − | 10.9492i | 0.224820 | − | 0.379596i | ||||
\(833\) | 16.7759 | − | 48.4265i | 0.581251 | − | 1.67788i | ||||
\(834\) | −15.9632 | + | 11.6164i | −0.552761 | + | 0.402242i | ||||
\(835\) | 12.9219 | + | 2.27847i | 0.447179 | + | 0.0788498i | ||||
\(836\) | 7.18855 | + | 0.445404i | 0.248621 | + | 0.0154046i | ||||
\(837\) | 6.65030 | + | 5.89449i | 0.229868 | + | 0.203743i | ||||
\(838\) | 18.7712 | − | 17.6441i | 0.648439 | − | 0.609505i | ||||
\(839\) | −24.8238 | − | 20.8297i | −0.857014 | − | 0.719120i | 0.104308 | − | 0.994545i | \(-0.466737\pi\) |
−0.961323 | + | 0.275425i | \(0.911182\pi\) | |||||||
\(840\) | 8.63135 | − | 5.59330i | 0.297810 | − | 0.192987i | ||||
\(841\) | −0.991232 | − | 5.62156i | −0.0341804 | − | 0.193847i | ||||
\(842\) | 38.5776 | − | 16.5561i | 1.32947 | − | 0.570561i | ||||
\(843\) | −17.9867 | − | 19.4130i | −0.619495 | − | 0.668620i | ||||
\(844\) | 5.28682 | − | 21.9444i | 0.181980 | − | 0.755356i | ||||
\(845\) | 8.30792i | 0.285801i | ||||||||
\(846\) | 16.8322 | − | 43.5293i | 0.578704 | − | 1.49657i | ||||
\(847\) | 15.7973 | + | 8.95719i | 0.542802 | + | 0.307773i | ||||
\(848\) | 55.5807 | + | 17.0894i | 1.90865 | + | 0.586851i | ||||
\(849\) | 39.0843 | − | 25.2035i | 1.34137 | − | 0.864982i | ||||
\(850\) | −17.8459 | − | 41.5830i | −0.612109 | − | 1.42628i | ||||
\(851\) | 3.35343 | + | 19.0182i | 0.114954 | + | 0.651937i | ||||
\(852\) | −13.2644 | − | 7.88510i | −0.454432 | − | 0.270139i | ||||
\(853\) | 30.6631 | − | 11.1605i | 1.04989 | − | 0.382127i | 0.241266 | − | 0.970459i | \(-0.422437\pi\) |
0.808619 | + | 0.588332i | \(0.200215\pi\) | |||||||
\(854\) | −20.2928 | + | 4.93697i | −0.694404 | + | 0.168940i | ||||
\(855\) | 3.47939 | + | 2.37954i | 0.118993 | + | 0.0813786i | ||||
\(856\) | −3.89452 | − | 4.69402i | −0.133112 | − | 0.160438i | ||||
\(857\) | 0.736228 | − | 0.877402i | 0.0251491 | − | 0.0299715i | −0.753323 | − | 0.657650i | \(-0.771550\pi\) |
0.778472 | + | 0.627679i | \(0.215995\pi\) | |||||||
\(858\) | −6.57285 | − | 4.42624i | −0.224394 | − | 0.151109i | ||||
\(859\) | 41.2185 | − | 7.26793i | 1.40636 | − | 0.247979i | 0.581604 | − | 0.813472i | \(-0.302425\pi\) |
0.824753 | + | 0.565493i | \(0.191314\pi\) | |||||||
\(860\) | −8.87516 | − | 12.0140i | −0.302640 | − | 0.409675i | ||||
\(861\) | 32.1539 | + | 23.9996i | 1.09580 | + | 0.817905i | ||||
\(862\) | −4.80254 | + | 9.51866i | −0.163575 | + | 0.324207i | ||||
\(863\) | 4.98661 | + | 8.63707i | 0.169746 | + | 0.294009i | 0.938331 | − | 0.345739i | \(-0.112372\pi\) |
−0.768584 | + | 0.639748i | \(0.779039\pi\) | |||||||
\(864\) | 2.77436 | − | 29.2627i | 0.0943857 | − | 0.995536i | ||||
\(865\) | −6.77179 | + | 11.7291i | −0.230248 | + | 0.398801i | ||||
\(866\) | −22.1873 | + | 1.25104i | −0.753955 | + | 0.0425121i | ||||
\(867\) | 58.4382 | − | 24.5843i | 1.98466 | − | 0.834926i | ||||
\(868\) | 3.55039 | − | 8.32413i | 0.120508 | − | 0.282539i | ||||
\(869\) | 6.48049 | − | 17.8050i | 0.219835 | − | 0.603993i | ||||
\(870\) | 0.790183 | − | 11.4239i | 0.0267897 | − | 0.387306i | ||||
\(871\) | 12.0197 | − | 14.3245i | 0.407273 | − | 0.485369i | ||||
\(872\) | −0.771283 | + | 2.08300i | −0.0261189 | + | 0.0705394i | ||||
\(873\) | −7.58808 | + | 16.7526i | −0.256818 | + | 0.566990i | ||||
\(874\) | 9.16960 | + | 9.75534i | 0.310166 | + | 0.329979i | ||||
\(875\) | −18.4332 | + | 6.87226i | −0.623156 | + | 0.232325i | ||||
\(876\) | 10.7042 | + | 6.36319i | 0.361663 | + | 0.214992i | ||||
\(877\) | −10.4009 | − | 3.78562i | −0.351213 | − | 0.127831i | 0.160388 | − | 0.987054i | \(-0.448725\pi\) |
−0.511602 | + | 0.859223i | \(0.670948\pi\) | |||||||
\(878\) | −10.4092 | − | 24.2545i | −0.351292 | − | 0.818550i | ||||
\(879\) | −20.8051 | + | 13.4162i | −0.701740 | + | 0.452517i | ||||
\(880\) | −1.44213 | − | 6.29215i | −0.0486141 | − | 0.212108i | ||||
\(881\) | 27.6047 | − | 15.9376i | 0.930025 | − | 0.536950i | 0.0432056 | − | 0.999066i | \(-0.486243\pi\) |
0.886820 | + | 0.462116i | \(0.152910\pi\) | |||||||
\(882\) | −25.7837 | + | 14.7378i | −0.868181 | + | 0.496247i | ||||
\(883\) | 0.372870 | + | 0.215276i | 0.0125481 | + | 0.00724463i | 0.506261 | − | 0.862380i | \(-0.331027\pi\) |
−0.493713 | + | 0.869625i | \(0.664361\pi\) | |||||||
\(884\) | −16.8828 | − | 16.0467i | −0.567831 | − | 0.539709i | ||||
\(885\) | −5.78449 | + | 18.7051i | −0.194444 | + | 0.628766i | ||||
\(886\) | −1.67601 | − | 1.25258i | −0.0563067 | − | 0.0420811i | ||||
\(887\) | −24.2559 | + | 20.3531i | −0.814435 | + | 0.683392i | −0.951662 | − | 0.307148i | \(-0.900625\pi\) |
0.137227 | + | 0.990540i | \(0.456181\pi\) | |||||||
\(888\) | −0.771134 | − | 17.6784i | −0.0258776 | − | 0.593250i | ||||
\(889\) | −24.1648 | − | 19.9579i | −0.810461 | − | 0.669366i | ||||
\(890\) | 2.03088 | + | 8.64024i | 0.0680754 | + | 0.289621i | ||||
\(891\) | −18.0914 | − | 2.78008i | −0.606086 | − | 0.0931361i | ||||
\(892\) | −28.2096 | − | 1.74787i | −0.944527 | − | 0.0585231i | ||||
\(893\) | −6.66195 | − | 18.3036i | −0.222934 | − | 0.612505i | ||||
\(894\) | −2.07392 | − | 19.5899i | −0.0693621 | − | 0.655185i | ||||
\(895\) | 4.48030 | − | 0.789998i | 0.149760 | − | 0.0264067i | ||||
\(896\) | −29.1617 | + | 6.75240i | −0.974224 | + | 0.225582i | ||||
\(897\) | −3.26749 | − | 14.3634i | −0.109098 | − | 0.479579i | ||||
\(898\) | 41.9918 | − | 27.5072i | 1.40128 | − | 0.917926i | ||||
\(899\) | −5.03779 | − | 8.72571i | −0.168020 | − | 0.291019i | ||||
\(900\) | −8.06543 | + | 24.9508i | −0.268848 | + | 0.831692i | ||||
\(901\) | 53.2164 | − | 92.1735i | 1.77289 | − | 3.07074i | ||||
\(902\) | 21.0652 | − | 13.7990i | 0.701394 | − | 0.459456i | ||||
\(903\) | 23.6556 | + | 36.0637i | 0.787208 | + | 1.20013i | ||||
\(904\) | −1.62876 | + | 8.94626i | −0.0541718 | + | 0.297548i | ||||
\(905\) | 0.898666 | − | 2.46906i | 0.0298727 | − | 0.0820745i | ||||
\(906\) | −20.7641 | + | 5.97096i | −0.689842 | + | 0.198372i | ||||
\(907\) | −29.7661 | − | 5.24856i | −0.988366 | − | 0.174276i | −0.343981 | − | 0.938977i | \(-0.611776\pi\) |
−0.644385 | + | 0.764701i | \(0.722887\pi\) | |||||||
\(908\) | 0.186999 | − | 3.01805i | 0.00620579 | − | 0.100158i | ||||
\(909\) | 2.75808 | + | 27.9687i | 0.0914796 | + | 0.927663i | ||||
\(910\) | −3.41598 | + | 3.26138i | −0.113239 | + | 0.108114i | ||||
\(911\) | −4.29164 | + | 24.3391i | −0.142188 | + | 0.806391i | 0.827393 | + | 0.561623i | \(0.189823\pi\) |
−0.969582 | + | 0.244768i | \(0.921288\pi\) | |||||||
\(912\) | −7.16307 | − | 9.95934i | −0.237193 | − | 0.329787i | ||||
\(913\) | −6.37462 | + | 5.34894i | −0.210969 | + | 0.177024i | ||||
\(914\) | 2.42368 | − | 20.4081i | 0.0801682 | − | 0.675040i | ||||
\(915\) | −4.63650 | + | 6.11190i | −0.153278 | + | 0.202053i | ||||
\(916\) | 48.1072 | + | 11.5899i | 1.58951 | + | 0.382943i | ||||
\(917\) | 17.3093 | − | 10.1742i | 0.571604 | − | 0.335981i | ||||
\(918\) | −51.0730 | − | 16.9154i | −1.68566 | − | 0.558292i | ||||
\(919\) | 9.69494 | − | 5.59737i | 0.319806 | − | 0.184640i | −0.331500 | − | 0.943455i | \(-0.607555\pi\) |
0.651306 | + | 0.758815i | \(0.274221\pi\) | |||||||
\(920\) | 6.05749 | − | 10.3586i | 0.199709 | − | 0.341511i | ||||
\(921\) | 22.0921 | − | 29.1220i | 0.727958 | − | 0.959604i | ||||
\(922\) | −9.43084 | + | 12.6190i | −0.310588 | + | 0.415583i | ||||
\(923\) | 6.65852 | + | 2.42350i | 0.219168 | + | 0.0797706i | ||||
\(924\) | 3.14600 | + | 18.3723i | 0.103496 | + | 0.604403i | ||||
\(925\) | −2.74117 | + | 15.5459i | −0.0901290 | + | 0.511147i | ||||
\(926\) | 22.7488 | − | 5.34709i | 0.747572 | − | 0.175716i | ||||
\(927\) | 0.154439 | − | 0.225822i | 0.00507245 | − | 0.00741698i | ||||
\(928\) | −13.4828 | + | 30.4775i | −0.442593 | + | 1.00047i | ||||
\(929\) | −19.3022 | + | 23.0035i | −0.633285 | + | 0.754719i | −0.983294 | − | 0.182027i | \(-0.941734\pi\) |
0.350009 | + | 0.936746i | \(0.386179\pi\) | |||||||
\(930\) | −0.918681 | − | 3.19473i | −0.0301247 | − | 0.104759i | ||||
\(931\) | −4.05728 | + | 11.7120i | −0.132972 | + | 0.383846i | ||||
\(932\) | 11.9655 | + | 5.21404i | 0.391942 | + | 0.170792i | ||||
\(933\) | 8.20828 | + | 12.7290i | 0.268727 | + | 0.416728i | ||||
\(934\) | 27.0498 | − | 1.52522i | 0.885096 | − | 0.0499066i | ||||
\(935\) | −11.8155 | −0.386408 | ||||||||
\(936\) | 1.24996 | + | 13.4394i | 0.0408562 | + | 0.439281i | ||||
\(937\) | −8.39440 | + | 14.5395i | −0.274233 | + | 0.474985i | −0.969941 | − | 0.243339i | \(-0.921757\pi\) |
0.695708 | + | 0.718324i | \(0.255091\pi\) | |||||||
\(938\) | −43.8948 | + | 2.81830i | −1.43321 | + | 0.0920207i | ||||
\(939\) | 52.6275 | + | 16.2749i | 1.71743 | + | 0.531111i | ||||
\(940\) | −14.0419 | + | 10.3732i | −0.457997 | + | 0.338337i | ||||
\(941\) | 4.19846 | − | 11.5352i | 0.136866 | − | 0.376036i | −0.852258 | − | 0.523122i | \(-0.824767\pi\) |
0.989124 | + | 0.147086i | \(0.0469895\pi\) | |||||||
\(942\) | −7.10080 | + | 15.9811i | −0.231356 | + | 0.520691i | ||||
\(943\) | 46.1002 | + | 8.12871i | 1.50123 | + | 0.264707i | ||||
\(944\) | 34.3647 | − | 45.4530i | 1.11847 | − | 1.47937i | ||||
\(945\) | −3.92825 | + | 10.1773i | −0.127786 | + | 0.331067i | ||||
\(946\) | 26.3514 | − | 6.19389i | 0.856759 | − | 0.201381i | ||||
\(947\) | 0.918014 | − | 5.20632i | 0.0298315 | − | 0.169183i | −0.966252 | − | 0.257598i | \(-0.917069\pi\) |
0.996084 | + | 0.0884151i | \(0.0281802\pi\) | |||||||
\(948\) | −30.4654 | + | 10.6512i | −0.989470 | + | 0.345934i | ||||
\(949\) | −5.37336 | − | 1.95574i | −0.174426 | − | 0.0634860i | ||||
\(950\) | 4.31606 | + | 10.0569i | 0.140031 | + | 0.326289i | ||||
\(951\) | −27.9526 | − | 30.1692i | −0.906425 | − | 0.978303i | ||||
\(952\) | 0.122544 | + | 54.7884i | 0.00397167 | + | 1.77570i | ||||
\(953\) | −9.94744 | − | 5.74316i | −0.322229 | − | 0.186039i | 0.330157 | − | 0.943926i | \(-0.392898\pi\) |
−0.652386 | + | 0.757887i | \(0.726232\pi\) | |||||||
\(954\) | −58.3649 | + | 19.9363i | −1.88963 | + | 0.645461i | ||||
\(955\) | 6.32478i | 0.204665i | ||||||||
\(956\) | −3.44480 | − | 11.6635i | −0.111413 | − | 0.377223i | ||||
\(957\) | 18.4605 | + | 9.48090i | 0.596743 | + | 0.306474i | ||||
\(958\) | −2.53333 | − | 1.89329i | −0.0818481 | − | 0.0611695i | ||||
\(959\) | 10.3709 | + | 56.2500i | 0.334895 | + | 1.81641i | ||||
\(960\) | −6.74224 | + | 8.68559i | −0.217605 | + | 0.280326i | ||||
\(961\) | 21.5068 | + | 18.0463i | 0.693768 | + | 0.582140i | ||||
\(962\) | 1.85923 | + | 7.90995i | 0.0599440 | + | 0.255027i | ||||
\(963\) | 6.26690 | + | 1.60535i | 0.201948 | + | 0.0517316i | ||||
\(964\) | −7.50046 | + | 3.73215i | −0.241574 | + | 0.120205i | ||||
\(965\) | 14.2106 | + | 2.50570i | 0.457454 | + | 0.0806614i | ||||
\(966\) | −19.1294 | + | 28.8900i | −0.615477 | + | 0.929519i | ||||
\(967\) | 20.4496 | − | 56.1849i | 0.657616 | − | 1.80679i | 0.0701496 | − | 0.997536i | \(-0.477652\pi\) |
0.587466 | − | 0.809249i | \(-0.300125\pi\) | |||||||
\(968\) | −19.0999 | − | 3.47734i | −0.613894 | − | 0.111766i | ||||
\(969\) | −20.6974 | + | 8.70719i | −0.664898 | + | 0.279715i | ||||
\(970\) | 5.75473 | − | 3.76970i | 0.184773 | − | 0.121038i | ||||
\(971\) | 7.40502 | + | 12.8259i | 0.237638 | + | 0.411602i | 0.960036 | − | 0.279876i | \(-0.0902934\pi\) |
−0.722398 | + | 0.691478i | \(0.756960\pi\) | |||||||
\(972\) | 15.8395 | + | 26.8535i | 0.508053 | + | 0.861326i | ||||
\(973\) | −21.3236 | + | 0.166155i | −0.683605 | + | 0.00532668i | ||||
\(974\) | −52.8205 | − | 26.6501i | −1.69248 | − | 0.853923i | ||||
\(975\) | 1.50580 | − | 11.9464i | 0.0482242 | − | 0.382590i | ||||
\(976\) | 18.7440 | − | 12.1302i | 0.599982 | − | 0.388278i | ||||
\(977\) | −6.17928 | − | 7.36418i | −0.197693 | − | 0.235601i | 0.658086 | − | 0.752942i | \(-0.271366\pi\) |
−0.855779 | + | 0.517341i | \(0.826922\pi\) | |||||||
\(978\) | 9.04585 | − | 13.4329i | 0.289254 | − | 0.429535i | ||||
\(979\) | −15.8409 | − | 2.79318i | −0.506278 | − | 0.0892705i | ||||
\(980\) | 11.0974 | + | 0.514146i | 0.354493 | + | 0.0164238i | ||||
\(981\) | −0.634825 | − | 2.26881i | −0.0202684 | − | 0.0724375i | ||||
\(982\) | −6.11621 | − | 1.84342i | −0.195176 | − | 0.0588259i | ||||
\(983\) | 6.19092 | − | 35.1105i | 0.197460 | − | 1.11985i | −0.711412 | − | 0.702775i | \(-0.751944\pi\) |
0.908872 | − | 0.417075i | \(-0.136945\pi\) | |||||||
\(984\) | −40.9075 | − | 12.8999i | −1.30408 | − | 0.411235i | ||||
\(985\) | −1.48632 | − | 0.540975i | −0.0473580 | − | 0.0172369i | ||||
\(986\) | 48.8617 | + | 36.5170i | 1.55607 | + | 1.16294i | ||||
\(987\) | 42.1510 | − | 27.6484i | 1.34168 | − | 0.880059i | ||||
\(988\) | 4.08314 | + | 3.88092i | 0.129902 | + | 0.123469i | ||||
\(989\) | 43.5779 | + | 25.1597i | 1.38570 | + | 0.800032i | ||||
\(990\) | 5.15635 | + | 4.50465i | 0.163879 | + | 0.143167i | ||||
\(991\) | 44.2710 | − | 25.5599i | 1.40631 | − | 0.811936i | 0.411284 | − | 0.911507i | \(-0.365080\pi\) |
0.995030 | + | 0.0995709i | \(0.0317470\pi\) | |||||||
\(992\) | −0.651918 | + | 9.65251i | −0.0206984 | + | 0.306467i | ||||
\(993\) | 23.7184 | + | 25.5993i | 0.752682 | + | 0.812368i | ||||
\(994\) | −6.69246 | − | 15.2649i | −0.212272 | − | 0.484174i | ||||
\(995\) | −2.66055 | − | 15.0887i | −0.0843451 | − | 0.478345i | ||||
\(996\) | 13.9262 | + | 2.63883i | 0.441268 | + | 0.0836144i | ||||
\(997\) | −44.0548 | + | 16.0346i | −1.39523 | + | 0.507822i | −0.926759 | − | 0.375657i | \(-0.877417\pi\) |
−0.468470 | + | 0.883479i | \(0.655195\pi\) | |||||||
\(998\) | 15.6819 | − | 52.0302i | 0.496400 | − | 1.64699i | ||||
\(999\) | 11.6704 | + | 14.6991i | 0.369235 | + | 0.465060i |
(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 | 756.2.bs.a.11.3 | ✓ | 840 | |
4.3 | odd | 2 | inner | 756.2.bs.a.11.17 | yes | 840 | |
7.2 | even | 3 | 756.2.ci.a.443.95 | yes | 840 | ||
27.5 | odd | 18 | 756.2.ci.a.599.77 | yes | 840 | ||
28.23 | odd | 6 | 756.2.ci.a.443.77 | yes | 840 | ||
108.59 | even | 18 | 756.2.ci.a.599.95 | yes | 840 | ||
189.86 | odd | 18 | inner | 756.2.bs.a.275.17 | yes | 840 | |
756.275 | even | 18 | inner | 756.2.bs.a.275.3 | yes | 840 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
756.2.bs.a.11.3 | ✓ | 840 | 1.1 | even | 1 | trivial | |
756.2.bs.a.11.17 | yes | 840 | 4.3 | odd | 2 | inner | |
756.2.bs.a.275.3 | yes | 840 | 756.275 | even | 18 | inner | |
756.2.bs.a.275.17 | yes | 840 | 189.86 | odd | 18 | inner | |
756.2.ci.a.443.77 | yes | 840 | 28.23 | odd | 6 | ||
756.2.ci.a.443.95 | yes | 840 | 7.2 | even | 3 | ||
756.2.ci.a.599.77 | yes | 840 | 27.5 | odd | 18 | ||
756.2.ci.a.599.95 | yes | 840 | 108.59 | even | 18 |