Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [297,2,Mod(37,297)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(297, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([10, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("297.37");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 297 = 3^{3} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 297.n (of order \(15\), degree \(8\), not 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: | \(2.37155694003\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(9\) over \(\Q(\zeta_{15})\) |
Twist minimal: | no (minimal twist has level 99) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 91.2 | ||
Character | \(\chi\) | \(=\) | 297.91 |
Dual form | 297.2.n.b.235.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/297\mathbb{Z}\right)^\times\).
\(n\) | \(56\) | \(244\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{4}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.41247 | − | 0.628870i | −0.998764 | − | 0.444679i | −0.158794 | − | 0.987312i | \(-0.550761\pi\) |
−0.839970 | + | 0.542633i | \(0.817427\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.261321 | + | 0.290226i | 0.130660 | + | 0.145113i | ||||
\(5\) | −0.540848 | + | 0.240801i | −0.241875 | + | 0.107690i | −0.524094 | − | 0.851660i | \(-0.675596\pi\) |
0.282220 | + | 0.959350i | \(0.408929\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.706174 | + | 0.150102i | −0.266909 | + | 0.0567332i | −0.339422 | − | 0.940634i | \(-0.610231\pi\) |
0.0725131 | + | 0.997367i | \(0.476898\pi\) | |||||||
\(8\) | 0.768973 | + | 2.36665i | 0.271873 | + | 0.836739i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.915362 | 0.289463 | ||||||||
\(11\) | −3.10382 | + | 1.16888i | −0.935837 | + | 0.352432i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.164629 | + | 1.56634i | 0.0456598 | + | 0.434424i | 0.993342 | + | 0.115207i | \(0.0367531\pi\) |
−0.947682 | + | 0.319217i | \(0.896580\pi\) | |||||||
\(14\) | 1.09184 | + | 0.232078i | 0.291807 | + | 0.0620255i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.483816 | − | 4.60320i | 0.120954 | − | 1.15080i | ||||
\(17\) | 3.71501 | + | 2.69911i | 0.901022 | + | 0.654631i | 0.938728 | − | 0.344658i | \(-0.112005\pi\) |
−0.0377065 | + | 0.999289i | \(0.512005\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.775200 | + | 2.38582i | 0.177843 | + | 0.547345i | 0.999752 | − | 0.0222743i | \(-0.00709072\pi\) |
−0.821909 | + | 0.569619i | \(0.807091\pi\) | |||||||
\(20\) | −0.211222 | − | 0.0940420i | −0.0472306 | − | 0.0210284i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 5.11912 | + | 0.300892i | 1.09140 | + | 0.0641503i | ||||
\(23\) | −2.22600 | + | 3.85554i | −0.464153 | + | 0.803937i | −0.999163 | − | 0.0409092i | \(-0.986975\pi\) |
0.535010 | + | 0.844846i | \(0.320308\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −3.11112 | + | 3.45525i | −0.622224 | + | 0.691050i | ||||
\(26\) | 0.752490 | − | 2.31593i | 0.147576 | − | 0.454191i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −0.228102 | − | 0.165726i | −0.0431072 | − | 0.0313192i | ||||
\(29\) | 6.82612 | − | 1.45094i | 1.26758 | − | 0.269432i | 0.475426 | − | 0.879755i | \(-0.342294\pi\) |
0.792152 | + | 0.610323i | \(0.208960\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.954161 | + | 9.07824i | 0.171372 | + | 1.63050i | 0.655284 | + | 0.755382i | \(0.272549\pi\) |
−0.483912 | + | 0.875117i | \(0.660784\pi\) | |||||||
\(32\) | −1.08974 | + | 1.88749i | −0.192641 | + | 0.333664i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −3.54993 | − | 6.14866i | −0.608808 | − | 1.05449i | ||||
\(35\) | 0.345788 | − | 0.251230i | 0.0584489 | − | 0.0424656i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.893583 | − | 2.75017i | 0.146904 | − | 0.452125i | −0.850347 | − | 0.526223i | \(-0.823608\pi\) |
0.997251 | + | 0.0740981i | \(0.0236078\pi\) | |||||||
\(38\) | 0.405428 | − | 3.85739i | 0.0657691 | − | 0.625751i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −0.985790 | − | 1.09483i | −0.155867 | − | 0.173108i | ||||
\(41\) | −1.12890 | − | 0.239955i | −0.176304 | − | 0.0374747i | 0.118913 | − | 0.992905i | \(-0.462059\pi\) |
−0.295218 | + | 0.955430i | \(0.595392\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 2.10724 | + | 3.64985i | 0.321351 | + | 0.556596i | 0.980767 | − | 0.195182i | \(-0.0625297\pi\) |
−0.659416 | + | 0.751778i | \(0.729196\pi\) | |||||||
\(44\) | −1.15033 | − | 0.595357i | −0.173419 | − | 0.0897534i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 5.56879 | − | 4.04596i | 0.821073 | − | 0.596544i | ||||
\(47\) | 0.152264 | − | 0.169107i | 0.0222100 | − | 0.0246667i | −0.731937 | − | 0.681372i | \(-0.761384\pi\) |
0.754147 | + | 0.656705i | \(0.228050\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −5.91867 | + | 2.63516i | −0.845524 | + | 0.376451i | ||||
\(50\) | 6.56726 | − | 2.92393i | 0.928751 | − | 0.413506i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −0.411571 | + | 0.457096i | −0.0570747 | + | 0.0633878i | ||||
\(53\) | −4.61430 | + | 3.35249i | −0.633823 | + | 0.460500i | −0.857723 | − | 0.514113i | \(-0.828121\pi\) |
0.223899 | + | 0.974612i | \(0.428121\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 1.39723 | − | 1.37959i | 0.188402 | − | 0.186024i | ||||
\(56\) | −0.898268 | − | 1.55585i | −0.120036 | − | 0.207909i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −10.5541 | − | 2.24335i | −1.38582 | − | 0.294566i | ||||
\(59\) | −4.77328 | − | 5.30126i | −0.621428 | − | 0.690166i | 0.347452 | − | 0.937698i | \(-0.387047\pi\) |
−0.968880 | + | 0.247532i | \(0.920380\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −0.476541 | + | 4.53398i | −0.0610148 | + | 0.580517i | 0.920715 | + | 0.390236i | \(0.127607\pi\) |
−0.981730 | + | 0.190281i | \(0.939060\pi\) | |||||||
\(62\) | 4.36131 | − | 13.4227i | 0.553887 | − | 1.70469i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −4.76295 | + | 3.46049i | −0.595369 | + | 0.432561i | ||||
\(65\) | −0.466215 | − | 0.807507i | −0.0578268 | − | 0.100159i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 4.04571 | − | 7.00738i | 0.494262 | − | 0.856087i | −0.505716 | − | 0.862700i | \(-0.668772\pi\) |
0.999978 | + | 0.00661279i | \(0.00210493\pi\) | |||||||
\(68\) | 0.187456 | + | 1.78353i | 0.0227324 | + | 0.216284i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −0.646405 | + | 0.137398i | −0.0772602 | + | 0.0164222i | ||||
\(71\) | −9.95852 | − | 7.23528i | −1.18186 | − | 0.858670i | −0.189478 | − | 0.981885i | \(-0.560680\pi\) |
−0.992380 | + | 0.123215i | \(0.960680\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 4.78461 | − | 14.7255i | 0.559996 | − | 1.72349i | −0.122373 | − | 0.992484i | \(-0.539050\pi\) |
0.682370 | − | 0.731007i | \(-0.260950\pi\) | |||||||
\(74\) | −2.99165 | + | 3.32257i | −0.347773 | + | 0.386241i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −0.489852 | + | 0.848448i | −0.0561899 | + | 0.0973237i | ||||
\(77\) | 2.01639 | − | 1.29133i | 0.229789 | − | 0.147160i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −13.3556 | − | 5.94631i | −1.50263 | − | 0.669012i | −0.519925 | − | 0.854212i | \(-0.674040\pi\) |
−0.982701 | + | 0.185200i | \(0.940707\pi\) | |||||||
\(80\) | 0.846785 | + | 2.60614i | 0.0946734 | + | 0.291375i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 1.44363 | + | 1.04886i | 0.159422 | + | 0.115827i | ||||
\(83\) | −0.726787 | + | 6.91491i | −0.0797752 | + | 0.759010i | 0.879378 | + | 0.476124i | \(0.157959\pi\) |
−0.959153 | + | 0.282886i | \(0.908708\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −2.65920 | − | 0.565231i | −0.288431 | − | 0.0613079i | ||||
\(86\) | −0.681124 | − | 6.48047i | −0.0734475 | − | 0.698807i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −5.15310 | − | 6.44683i | −0.549322 | − | 0.687235i | ||||
\(89\) | −12.4803 | −1.32291 | −0.661453 | − | 0.749986i | \(-0.730060\pi\) | ||||
−0.661453 | + | 0.749986i | \(0.730060\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.351367 | − | 1.08140i | −0.0368332 | − | 0.113361i | ||||
\(92\) | −1.70068 | + | 0.361491i | −0.177308 | + | 0.0376880i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −0.321414 | + | 0.143103i | −0.0331514 | + | 0.0147599i | ||||
\(95\) | −0.993774 | − | 1.10370i | −0.101959 | − | 0.113237i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 12.9545 | + | 5.76772i | 1.31533 | + | 0.585623i | 0.939970 | − | 0.341256i | \(-0.110852\pi\) |
0.375360 | + | 0.926879i | \(0.377519\pi\) | |||||||
\(98\) | 10.0171 | 1.01188 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −1.81581 | −0.181581 | ||||||||
\(101\) | 13.1263 | + | 5.84421i | 1.30612 | + | 0.581521i | 0.937476 | − | 0.348051i | \(-0.113156\pi\) |
0.368641 | + | 0.929572i | \(0.379823\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −2.96348 | − | 3.29128i | −0.292000 | − | 0.324299i | 0.579239 | − | 0.815158i | \(-0.303350\pi\) |
−0.871239 | + | 0.490859i | \(0.836683\pi\) | |||||||
\(104\) | −3.58038 | + | 1.59409i | −0.351085 | + | 0.156313i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 8.62583 | − | 1.83348i | 0.837815 | − | 0.178083i | ||||
\(107\) | 4.86529 | + | 14.9738i | 0.470345 | + | 1.44757i | 0.852134 | + | 0.523324i | \(0.175308\pi\) |
−0.381788 | + | 0.924250i | \(0.624692\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −13.6970 | −1.31194 | −0.655969 | − | 0.754788i | \(-0.727740\pi\) | ||||
−0.655969 | + | 0.754788i | \(0.727740\pi\) | |||||||
\(110\) | −2.84112 | + | 1.06995i | −0.270890 | + | 0.102016i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0.349291 | + | 3.32328i | 0.0330049 | + | 0.314021i | ||||
\(113\) | 7.85465 | + | 1.66956i | 0.738904 | + | 0.157059i | 0.561963 | − | 0.827163i | \(-0.310046\pi\) |
0.176941 | + | 0.984221i | \(0.443380\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.275508 | − | 2.62129i | 0.0256913 | − | 0.244436i | ||||
\(116\) | 2.20491 | + | 1.60196i | 0.204721 | + | 0.148738i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 3.40829 | + | 10.4896i | 0.313758 | + | 0.965648i | ||||
\(119\) | −3.02858 | − | 1.34841i | −0.277630 | − | 0.123609i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 8.26742 | − | 7.25602i | 0.751583 | − | 0.659638i | ||||
\(122\) | 3.52438 | − | 6.10441i | 0.319083 | − | 0.552668i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −2.38540 | + | 2.64926i | −0.214215 | + | 0.237910i | ||||
\(125\) | 1.76536 | − | 5.43321i | 0.157898 | − | 0.485961i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 9.70522 | + | 7.05126i | 0.861199 | + | 0.625698i | 0.928211 | − | 0.372054i | \(-0.121347\pi\) |
−0.0670118 | + | 0.997752i | \(0.521347\pi\) | |||||||
\(128\) | 13.1674 | − | 2.79882i | 1.16385 | − | 0.247383i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0.150695 | + | 1.43377i | 0.0132168 | + | 0.125750i | ||||
\(131\) | −3.44555 | + | 5.96786i | −0.301039 | + | 0.521414i | −0.976372 | − | 0.216099i | \(-0.930667\pi\) |
0.675333 | + | 0.737513i | \(0.264000\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −0.905543 | − | 1.56845i | −0.0785205 | − | 0.136002i | ||||
\(134\) | −10.1212 | + | 7.35345i | −0.874335 | + | 0.635242i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −3.53112 | + | 10.8677i | −0.302791 | + | 0.931896i | ||||
\(137\) | 0.966528 | − | 9.19590i | 0.0825760 | − | 0.785658i | −0.872363 | − | 0.488858i | \(-0.837414\pi\) |
0.954939 | − | 0.296801i | \(-0.0959196\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 14.4608 | + | 16.0603i | 1.22655 | + | 1.36222i | 0.910518 | + | 0.413469i | \(0.135683\pi\) |
0.316029 | + | 0.948749i | \(0.397650\pi\) | |||||||
\(140\) | 0.163275 | + | 0.0347052i | 0.0137993 | + | 0.00293313i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 9.51601 | + | 16.4822i | 0.798566 | + | 1.38316i | ||||
\(143\) | −2.34184 | − | 4.66920i | −0.195835 | − | 0.390458i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −3.34251 | + | 2.42847i | −0.277580 | + | 0.201674i | ||||
\(146\) | −16.0185 | + | 17.7904i | −1.32570 | + | 1.47234i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 1.03168 | − | 0.459335i | 0.0848038 | − | 0.0377571i | ||||
\(149\) | 1.04732 | − | 0.466296i | 0.0857996 | − | 0.0382005i | −0.363388 | − | 0.931638i | \(-0.618380\pi\) |
0.449188 | + | 0.893437i | \(0.351713\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 0.589263 | − | 0.654443i | 0.0479536 | − | 0.0532578i | −0.718691 | − | 0.695330i | \(-0.755258\pi\) |
0.766644 | + | 0.642072i | \(0.221925\pi\) | |||||||
\(152\) | −5.05031 | + | 3.66926i | −0.409634 | + | 0.297616i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −3.66015 | + | 0.555908i | −0.294944 | + | 0.0447963i | ||||
\(155\) | −2.70211 | − | 4.68018i | −0.217038 | − | 0.375921i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 9.57236 | + | 2.03467i | 0.763958 | + | 0.162384i | 0.573382 | − | 0.819288i | \(-0.305631\pi\) |
0.190576 | + | 0.981672i | \(0.438965\pi\) | |||||||
\(158\) | 15.1249 | + | 16.7979i | 1.20327 | + | 1.33637i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0.134876 | − | 1.28326i | 0.0106629 | − | 0.101450i | ||||
\(161\) | 0.993219 | − | 3.05681i | 0.0782766 | − | 0.240911i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −3.74555 | + | 2.72130i | −0.293374 | + | 0.213149i | −0.724730 | − | 0.689033i | \(-0.758035\pi\) |
0.431355 | + | 0.902182i | \(0.358035\pi\) | |||||||
\(164\) | −0.225364 | − | 0.390342i | −0.0175980 | − | 0.0304806i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 5.37515 | − | 9.31002i | 0.417192 | − | 0.722598i | ||||
\(167\) | −1.77566 | − | 16.8943i | −0.137405 | − | 1.30732i | −0.818236 | − | 0.574882i | \(-0.805048\pi\) |
0.680831 | − | 0.732440i | \(-0.261619\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 10.2896 | − | 2.18712i | 0.791509 | − | 0.168240i | ||||
\(170\) | 3.40058 | + | 2.47066i | 0.260812 | + | 0.189491i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −0.508616 | + | 1.56536i | −0.0387816 | + | 0.119357i | ||||
\(173\) | 0.395493 | − | 0.439240i | 0.0300688 | − | 0.0333948i | −0.727923 | − | 0.685659i | \(-0.759514\pi\) |
0.757992 | + | 0.652264i | \(0.226181\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 1.67835 | − | 2.90699i | 0.126872 | − | 0.219748i | ||||
\(176\) | 3.87893 | + | 14.8530i | 0.292385 | + | 1.11959i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 17.6280 | + | 7.84848i | 1.32127 | + | 0.588268i | ||||
\(179\) | 2.97921 | + | 9.16907i | 0.222677 | + | 0.685328i | 0.998519 | + | 0.0544017i | \(0.0173251\pi\) |
−0.775842 | + | 0.630927i | \(0.782675\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 3.85243 | + | 2.79896i | 0.286349 | + | 0.208045i | 0.721682 | − | 0.692225i | \(-0.243369\pi\) |
−0.435333 | + | 0.900270i | \(0.643369\pi\) | |||||||
\(182\) | −0.183764 | + | 1.74840i | −0.0136215 | + | 0.129600i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −10.8365 | − | 2.30336i | −0.798875 | − | 0.169806i | ||||
\(185\) | 0.178950 | + | 1.70260i | 0.0131567 | + | 0.125178i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −14.6857 | − | 4.03514i | −1.07392 | − | 0.295079i | ||||
\(188\) | 0.0888691 | 0.00648144 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0.709589 | + | 2.18389i | 0.0514790 | + | 0.158436i | ||||
\(191\) | −5.08444 | + | 1.08073i | −0.367897 | + | 0.0781989i | −0.388151 | − | 0.921596i | \(-0.626886\pi\) |
0.0202537 | + | 0.999795i | \(0.493553\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 2.98551 | − | 1.32923i | 0.214902 | − | 0.0956804i | −0.296463 | − | 0.955044i | \(-0.595807\pi\) |
0.511364 | + | 0.859364i | \(0.329140\pi\) | |||||||
\(194\) | −14.6706 | − | 16.2934i | −1.05329 | − | 1.16980i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −2.31146 | − | 1.02913i | −0.165105 | − | 0.0735093i | ||||
\(197\) | 22.4626 | 1.60039 | 0.800197 | − | 0.599737i | \(-0.204728\pi\) | ||||
0.800197 | + | 0.599737i | \(0.204728\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −20.8291 | −1.47654 | −0.738269 | − | 0.674507i | \(-0.764356\pi\) | ||||
−0.738269 | + | 0.674507i | \(0.764356\pi\) | |||||||
\(200\) | −10.5698 | − | 4.70596i | −0.747394 | − | 0.332761i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −14.8652 | − | 16.5095i | −1.04591 | − | 1.16160i | ||||
\(203\) | −4.60264 | + | 2.04923i | −0.323042 | + | 0.143828i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0.668344 | − | 0.142061i | 0.0466792 | − | 0.00992197i | ||||
\(206\) | 2.11603 | + | 6.51246i | 0.147431 | + | 0.453745i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 7.28981 | 0.505457 | ||||||||
\(209\) | −5.19483 | − | 6.49904i | −0.359334 | − | 0.449548i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −0.354563 | − | 3.37344i | −0.0244091 | − | 0.232237i | −0.999924 | − | 0.0123051i | \(-0.996083\pi\) |
0.975515 | − | 0.219932i | \(-0.0705836\pi\) | |||||||
\(212\) | −2.17880 | − | 0.463117i | −0.149640 | − | 0.0318070i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 2.54454 | − | 24.2096i | 0.173941 | − | 1.65494i | ||||
\(215\) | −2.01858 | − | 1.46659i | −0.137666 | − | 0.100020i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −2.03646 | − | 6.26759i | −0.138244 | − | 0.425472i | ||||
\(218\) | 19.3466 | + | 8.61366i | 1.31032 | + | 0.583390i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0.765519 | + | 0.0449957i | 0.0516113 | + | 0.00303361i | ||||
\(221\) | −3.61612 | + | 6.26330i | −0.243247 | + | 0.421315i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −7.37810 | + | 8.19420i | −0.494074 | + | 0.548725i | −0.937681 | − | 0.347497i | \(-0.887032\pi\) |
0.443607 | + | 0.896221i | \(0.353698\pi\) | |||||||
\(224\) | 0.486232 | − | 1.49647i | 0.0324877 | − | 0.0999870i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −10.0445 | − | 7.29775i | −0.668150 | − | 0.485439i | ||||
\(227\) | −5.83650 | + | 1.24059i | −0.387382 | + | 0.0823406i | −0.397486 | − | 0.917608i | \(-0.630117\pi\) |
0.0101037 | + | 0.999949i | \(0.496784\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −2.58715 | − | 24.6151i | −0.170964 | − | 1.62661i | −0.657852 | − | 0.753147i | \(-0.728535\pi\) |
0.486889 | − | 0.873464i | \(-0.338132\pi\) | |||||||
\(230\) | −2.03760 | + | 3.52922i | −0.134355 | + | 0.232710i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 8.68297 | + | 15.0393i | 0.570065 | + | 0.987381i | ||||
\(233\) | 3.38850 | − | 2.46189i | 0.221988 | − | 0.161284i | −0.471233 | − | 0.882009i | \(-0.656191\pi\) |
0.693221 | + | 0.720725i | \(0.256191\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −0.0416308 | + | 0.128126i | −0.00271569 | + | 0.00835805i | ||||
\(236\) | 0.291208 | − | 2.77066i | 0.0189560 | − | 0.180355i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 3.42980 | + | 3.80917i | 0.222321 | + | 0.246912i | ||||
\(239\) | −7.21173 | − | 1.53290i | −0.466488 | − | 0.0991551i | −0.0313298 | − | 0.999509i | \(-0.509974\pi\) |
−0.435158 | + | 0.900354i | \(0.643308\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 4.41462 | + | 7.64634i | 0.284371 | + | 0.492544i | 0.972456 | − | 0.233085i | \(-0.0748821\pi\) |
−0.688086 | + | 0.725629i | \(0.741549\pi\) | |||||||
\(242\) | −16.2405 | + | 5.04975i | −1.04398 | + | 0.324610i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −1.44041 | + | 1.04652i | −0.0922129 | + | 0.0669966i | ||||
\(245\) | 2.56655 | − | 2.85044i | 0.163971 | − | 0.182108i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −3.60938 | + | 1.60700i | −0.229659 | + | 0.102251i | ||||
\(248\) | −20.7513 | + | 9.23908i | −1.31771 | + | 0.586682i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −5.91029 | + | 6.56404i | −0.373799 | + | 0.415146i | ||||
\(251\) | 16.6439 | − | 12.0925i | 1.05056 | − | 0.763274i | 0.0782385 | − | 0.996935i | \(-0.475070\pi\) |
0.972318 | + | 0.233661i | \(0.0750704\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 2.40242 | − | 14.5689i | 0.151039 | − | 0.915936i | ||||
\(254\) | −9.27397 | − | 16.0630i | −0.581901 | − | 1.00788i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −8.84127 | − | 1.87927i | −0.552579 | − | 0.117454i | ||||
\(257\) | 2.26326 | + | 2.51360i | 0.141178 | + | 0.156794i | 0.809587 | − | 0.587000i | \(-0.199691\pi\) |
−0.668409 | + | 0.743794i | \(0.733024\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −0.218220 | + | 2.07623i | −0.0135595 | + | 0.129010i | ||||
\(260\) | 0.112528 | − | 0.346326i | 0.00697871 | − | 0.0214783i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 8.61973 | − | 6.26260i | 0.532528 | − | 0.386905i | ||||
\(263\) | −7.14112 | − | 12.3688i | −0.440341 | − | 0.762692i | 0.557374 | − | 0.830262i | \(-0.311809\pi\) |
−0.997715 | + | 0.0675692i | \(0.978476\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 1.68836 | − | 2.92432i | 0.103715 | − | 0.179639i | ||||
\(266\) | 0.292699 | + | 2.78485i | 0.0179465 | + | 0.170750i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 3.09095 | − | 0.657003i | 0.188810 | − | 0.0401328i | ||||
\(269\) | 5.43693 | + | 3.95016i | 0.331495 | + | 0.240845i | 0.741065 | − | 0.671433i | \(-0.234321\pi\) |
−0.409570 | + | 0.912279i | \(0.634321\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −1.23000 | + | 3.78554i | −0.0747170 | + | 0.229955i | −0.981439 | − | 0.191773i | \(-0.938576\pi\) |
0.906722 | + | 0.421728i | \(0.138576\pi\) | |||||||
\(272\) | 14.2219 | − | 15.7951i | 0.862331 | − | 0.957716i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −7.14821 | + | 12.3811i | −0.431839 | + | 0.747968i | ||||
\(275\) | 5.61758 | − | 14.3610i | 0.338753 | − | 0.866002i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −11.9967 | − | 5.34127i | −0.720811 | − | 0.320926i | 0.0133410 | − | 0.999911i | \(-0.495753\pi\) |
−0.734152 | + | 0.678985i | \(0.762420\pi\) | |||||||
\(278\) | −10.3255 | − | 31.7786i | −0.619282 | − | 1.90595i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0.860476 | + | 0.625172i | 0.0514233 | + | 0.0373612i | ||||
\(281\) | −0.310227 | + | 2.95161i | −0.0185066 | + | 0.176078i | −0.999871 | − | 0.0160790i | \(-0.994882\pi\) |
0.981364 | + | 0.192157i | \(0.0615484\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −7.91593 | − | 1.68258i | −0.470553 | − | 0.100019i | −0.0334689 | − | 0.999440i | \(-0.510655\pi\) |
−0.437084 | + | 0.899421i | \(0.643989\pi\) | |||||||
\(284\) | −0.502499 | − | 4.78096i | −0.0298178 | − | 0.283697i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0.371456 | + | 8.06780i | 0.0219646 | + | 0.477059i | ||||
\(287\) | 0.833217 | 0.0491833 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 1.26279 | + | 3.88648i | 0.0742820 | + | 0.228616i | ||||
\(290\) | 6.24837 | − | 1.32813i | 0.366917 | − | 0.0779906i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 5.52405 | − | 2.45947i | 0.323271 | − | 0.143929i | ||||
\(293\) | 10.5158 | + | 11.6789i | 0.614338 | + | 0.682292i | 0.967384 | − | 0.253314i | \(-0.0815207\pi\) |
−0.353046 | + | 0.935606i | \(0.614854\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 3.85817 | + | 1.71777i | 0.224631 | + | 0.100012i | ||||
\(296\) | 7.19584 | 0.418249 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −1.77254 | −0.102681 | ||||||||
\(299\) | −6.40554 | − | 2.85193i | −0.370442 | − | 0.164931i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −2.03593 | − | 2.26113i | −0.117349 | − | 0.130329i | ||||
\(302\) | −1.24387 | + | 0.553809i | −0.0715769 | + | 0.0318681i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 11.3575 | − | 2.41410i | 0.651395 | − | 0.138458i | ||||
\(305\) | −0.834052 | − | 2.56695i | −0.0477577 | − | 0.146983i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −3.51315 | −0.200506 | −0.100253 | − | 0.994962i | \(-0.531965\pi\) | ||||
−0.100253 | + | 0.994962i | \(0.531965\pi\) | |||||||
\(308\) | 0.901701 | + | 0.247758i | 0.0513792 | + | 0.0141173i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0.873403 | + | 8.30987i | 0.0496060 | + | 0.471969i | ||||
\(311\) | 25.7589 | + | 5.47523i | 1.46066 | + | 0.310472i | 0.868636 | − | 0.495451i | \(-0.164997\pi\) |
0.592020 | + | 0.805923i | \(0.298331\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 0.257259 | − | 2.44766i | 0.0145412 | − | 0.138350i | −0.984843 | − | 0.173450i | \(-0.944508\pi\) |
0.999384 | + | 0.0351004i | \(0.0111751\pi\) | |||||||
\(314\) | −12.2411 | − | 8.89367i | −0.690805 | − | 0.501899i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −1.76433 | − | 5.43005i | −0.0992513 | − | 0.305464i | ||||
\(317\) | 24.2155 | + | 10.7814i | 1.36008 | + | 0.605545i | 0.951633 | − | 0.307238i | \(-0.0994048\pi\) |
0.408444 | + | 0.912783i | \(0.366071\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −19.4911 | + | 12.4824i | −1.09129 | + | 0.698880i | ||||
\(320\) | 1.74274 | − | 3.01852i | 0.0974224 | − | 0.168741i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −3.32523 | + | 3.69304i | −0.185308 | + | 0.205805i | ||||
\(323\) | −3.55972 | + | 10.9557i | −0.198068 | + | 0.609591i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −5.92427 | − | 4.30423i | −0.328619 | − | 0.238756i | ||||
\(326\) | 7.00182 | − | 1.48828i | 0.387795 | − | 0.0824283i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −0.300202 | − | 2.85623i | −0.0165759 | − | 0.157709i | ||||
\(329\) | −0.0821419 | + | 0.142274i | −0.00452863 | + | 0.00784382i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −4.05198 | − | 7.01824i | −0.222717 | − | 0.385757i | 0.732915 | − | 0.680320i | \(-0.238159\pi\) |
−0.955632 | + | 0.294563i | \(0.904826\pi\) | |||||||
\(332\) | −2.19681 | + | 1.59608i | −0.120566 | + | 0.0875962i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −8.11627 | + | 24.9793i | −0.444103 | + | 1.36681i | ||||
\(335\) | −0.500731 | + | 4.76414i | −0.0273579 | + | 0.260293i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 16.5413 | + | 18.3710i | 0.901064 | + | 1.00073i | 0.999984 | + | 0.00563738i | \(0.00179444\pi\) |
−0.0989203 | + | 0.995095i | \(0.531539\pi\) | |||||||
\(338\) | −15.9091 | − | 3.38159i | −0.865343 | − | 0.183934i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −0.530861 | − | 0.919478i | −0.0287900 | − | 0.0498657i | ||||
\(341\) | −13.5730 | − | 27.0619i | −0.735017 | − | 1.46549i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 7.87256 | − | 5.71975i | 0.425078 | − | 0.308837i | ||||
\(344\) | −7.01752 | + | 7.79374i | −0.378359 | + | 0.420210i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −0.834846 | + | 0.371697i | −0.0448816 | + | 0.0199826i | ||||
\(347\) | 1.89071 | − | 0.841800i | 0.101499 | − | 0.0451902i | −0.355359 | − | 0.934730i | \(-0.615641\pi\) |
0.456858 | + | 0.889540i | \(0.348975\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −3.48902 | + | 3.87495i | −0.186763 | + | 0.207422i | −0.829254 | − | 0.558872i | \(-0.811234\pi\) |
0.642491 | + | 0.766293i | \(0.277901\pi\) | |||||||
\(350\) | −4.19874 | + | 3.05056i | −0.224432 | + | 0.163059i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 1.17611 | − | 7.13221i | 0.0626868 | − | 0.380148i | ||||
\(353\) | 10.8363 | + | 18.7689i | 0.576756 | + | 0.998970i | 0.995848 | + | 0.0910266i | \(0.0290148\pi\) |
−0.419093 | + | 0.907943i | \(0.637652\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 7.12831 | + | 1.51517i | 0.378331 | + | 0.0804168i | ||||
\(356\) | −3.26136 | − | 3.62211i | −0.172852 | − | 0.191971i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 1.55812 | − | 14.8245i | 0.0823493 | − | 0.783501i | ||||
\(359\) | −2.70478 | + | 8.32446i | −0.142753 | + | 0.439348i | −0.996715 | − | 0.0809868i | \(-0.974193\pi\) |
0.853962 | + | 0.520335i | \(0.174193\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 10.2801 | − | 7.46894i | 0.541059 | − | 0.393102i | ||||
\(362\) | −3.68125 | − | 6.37611i | −0.193482 | − | 0.335121i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0.222030 | − | 0.384567i | 0.0116375 | − | 0.0201568i | ||||
\(365\) | 0.958173 | + | 9.11641i | 0.0501531 | + | 0.477175i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 6.61837 | − | 1.40678i | 0.345476 | − | 0.0734332i | −0.0319060 | − | 0.999491i | \(-0.510158\pi\) |
0.377382 | + | 0.926058i | \(0.376824\pi\) | |||||||
\(368\) | 16.6709 | + | 12.1121i | 0.869029 | + | 0.631387i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0.817952 | − | 2.51740i | 0.0425233 | − | 0.130873i | ||||
\(371\) | 2.75529 | − | 3.06006i | 0.143047 | − | 0.158870i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 10.9467 | − | 18.9602i | 0.566797 | − | 0.981722i | −0.430083 | − | 0.902790i | \(-0.641516\pi\) |
0.996880 | − | 0.0789323i | \(-0.0251511\pi\) | |||||||
\(374\) | 18.2054 | + | 14.9349i | 0.941380 | + | 0.772265i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0.517304 | + | 0.230319i | 0.0266779 | + | 0.0118778i | ||||
\(377\) | 3.39643 | + | 10.4531i | 0.174925 | + | 0.538364i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 27.3639 | + | 19.8810i | 1.40559 | + | 1.02122i | 0.993946 | + | 0.109873i | \(0.0350445\pi\) |
0.411642 | + | 0.911346i | \(0.364955\pi\) | |||||||
\(380\) | 0.0606282 | − | 0.576839i | 0.00311016 | − | 0.0295912i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 7.86123 | + | 1.67096i | 0.402216 | + | 0.0854936i | ||||
\(383\) | −1.92059 | − | 18.2732i | −0.0981378 | − | 0.933719i | −0.927201 | − | 0.374564i | \(-0.877792\pi\) |
0.829063 | − | 0.559155i | \(-0.188874\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −0.779606 | + | 1.18396i | −0.0397324 | + | 0.0603402i | ||||
\(386\) | −5.05284 | −0.257183 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 1.71134 | + | 5.26696i | 0.0868801 | + | 0.267390i | ||||
\(389\) | −30.1333 | + | 6.40504i | −1.52782 | + | 0.324748i | −0.893764 | − | 0.448538i | \(-0.851945\pi\) |
−0.634057 | + | 0.773286i | \(0.718612\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −18.6761 | + | 8.31516i | −0.944493 | + | 0.420516i | ||||
\(392\) | −10.7878 | − | 11.9811i | −0.544867 | − | 0.605136i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −31.7277 | − | 14.1261i | −1.59842 | − | 0.711661i | ||||
\(395\) | 8.65524 | 0.435493 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −8.29578 | −0.416353 | −0.208177 | − | 0.978091i | \(-0.566753\pi\) | ||||
−0.208177 | + | 0.978091i | \(0.566753\pi\) | |||||||
\(398\) | 29.4204 | + | 13.0988i | 1.47471 | + | 0.656584i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 14.4000 | + | 15.9928i | 0.720000 | + | 0.799641i | ||||
\(401\) | 3.59354 | − | 1.59995i | 0.179453 | − | 0.0798976i | −0.315044 | − | 0.949077i | \(-0.602019\pi\) |
0.494497 | + | 0.869180i | \(0.335352\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −14.0625 | + | 2.98907i | −0.700503 | + | 0.148896i | ||||
\(404\) | 1.73404 | + | 5.33682i | 0.0862716 | + | 0.265517i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 7.78977 | 0.386600 | ||||||||
\(407\) | 0.441104 | + | 9.58052i | 0.0218647 | + | 0.474889i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 0.261766 | + | 2.49054i | 0.0129435 | + | 0.123149i | 0.999086 | − | 0.0427534i | \(-0.0136130\pi\) |
−0.986142 | + | 0.165902i | \(0.946946\pi\) | |||||||
\(410\) | −1.03335 | − | 0.219646i | −0.0510336 | − | 0.0108475i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 0.180796 | − | 1.72016i | 0.00890719 | − | 0.0847462i | ||||
\(413\) | 4.16650 | + | 3.02714i | 0.205020 | + | 0.148956i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −1.27204 | − | 3.91493i | −0.0624419 | − | 0.192176i | ||||
\(416\) | −3.13585 | − | 1.39617i | −0.153747 | − | 0.0684528i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 3.25047 | + | 12.4466i | 0.158986 | + | 0.608781i | ||||
\(419\) | 5.36970 | − | 9.30060i | 0.262327 | − | 0.454364i | −0.704533 | − | 0.709672i | \(-0.748843\pi\) |
0.966860 | + | 0.255307i | \(0.0821767\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 14.8463 | − | 16.4885i | 0.723564 | − | 0.803600i | −0.263375 | − | 0.964694i | \(-0.584836\pi\) |
0.986939 | + | 0.161094i | \(0.0515022\pi\) | |||||||
\(422\) | −1.62065 | + | 4.98785i | −0.0788920 | + | 0.242805i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −11.4825 | − | 8.34249i | −0.557637 | − | 0.405147i | ||||
\(425\) | −20.8839 | + | 4.43902i | −1.01302 | + | 0.215324i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −0.344039 | − | 3.27331i | −0.0166492 | − | 0.158407i | ||||
\(428\) | −3.07440 | + | 5.32501i | −0.148606 | + | 0.257394i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 1.92889 | + | 3.34093i | 0.0930192 | + | 0.161114i | ||||
\(431\) | −14.9330 | + | 10.8495i | −0.719297 | + | 0.522600i | −0.886160 | − | 0.463380i | \(-0.846636\pi\) |
0.166862 | + | 0.985980i | \(0.446636\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 4.67130 | − | 14.3768i | 0.224488 | − | 0.690904i | −0.773855 | − | 0.633363i | \(-0.781674\pi\) |
0.998343 | − | 0.0575408i | \(-0.0183259\pi\) | |||||||
\(434\) | −1.06507 | + | 10.1334i | −0.0511249 | + | 0.486420i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −3.57932 | − | 3.97524i | −0.171418 | − | 0.190379i | ||||
\(437\) | −10.9242 | − | 2.32202i | −0.522577 | − | 0.111077i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −11.9777 | − | 20.7459i | −0.571663 | − | 0.990150i | −0.996395 | − | 0.0848306i | \(-0.972965\pi\) |
0.424732 | − | 0.905319i | \(-0.360368\pi\) | |||||||
\(440\) | 4.33945 | + | 2.24589i | 0.206875 | + | 0.107068i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 9.04645 | − | 6.57263i | 0.430296 | − | 0.312628i | ||||
\(443\) | −17.0613 | + | 18.9485i | −0.810607 | + | 0.900270i | −0.996609 | − | 0.0822794i | \(-0.973780\pi\) |
0.186003 | + | 0.982549i | \(0.440447\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 6.74993 | − | 3.00526i | 0.319978 | − | 0.142463i | ||||
\(446\) | 15.5744 | − | 6.93417i | 0.737469 | − | 0.328342i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 2.84405 | − | 3.15864i | 0.134369 | − | 0.149231i | ||||
\(449\) | −18.1886 | + | 13.2148i | −0.858375 | + | 0.623646i | −0.927442 | − | 0.373966i | \(-0.877998\pi\) |
0.0690672 | + | 0.997612i | \(0.477998\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 3.78438 | − | 0.574776i | 0.178200 | − | 0.0270651i | ||||
\(452\) | 1.56804 | + | 2.71592i | 0.0737542 | + | 0.127746i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 9.02402 | + | 1.91812i | 0.423518 | + | 0.0900216i | ||||
\(455\) | 0.450437 | + | 0.500261i | 0.0211168 | + | 0.0234526i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −2.26718 | + | 21.5708i | −0.106054 | + | 1.00904i | 0.804023 | + | 0.594598i | \(0.202689\pi\) |
−0.910077 | + | 0.414439i | \(0.863978\pi\) | |||||||
\(458\) | −11.8254 | + | 36.3950i | −0.552566 | + | 1.70062i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0.832763 | − | 0.605037i | 0.0388278 | − | 0.0282100i | ||||
\(461\) | −6.05182 | − | 10.4821i | −0.281861 | − | 0.488198i | 0.689982 | − | 0.723827i | \(-0.257618\pi\) |
−0.971843 | + | 0.235629i | \(0.924285\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −10.0154 | + | 17.3472i | −0.465455 | + | 0.806192i | −0.999222 | − | 0.0394398i | \(-0.987443\pi\) |
0.533767 | + | 0.845632i | \(0.320776\pi\) | |||||||
\(464\) | −3.37637 | − | 32.1240i | −0.156744 | − | 1.49132i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −6.33435 | + | 1.34641i | −0.293433 | + | 0.0623711i | ||||
\(467\) | 4.90871 | + | 3.56639i | 0.227148 | + | 0.165033i | 0.695538 | − | 0.718489i | \(-0.255166\pi\) |
−0.468390 | + | 0.883522i | \(0.655166\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −1.80516 | + | 5.55570i | −0.0833543 | + | 0.256538i | ||||
\(470\) | 0.139377 | − | 0.154794i | 0.00642898 | − | 0.00714011i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 8.87574 | − | 15.3732i | 0.408539 | − | 0.707610i | ||||
\(473\) | −10.8067 | − | 8.86535i | −0.496895 | − | 0.407629i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −10.6553 | − | 4.74407i | −0.488901 | − | 0.217673i | ||||
\(476\) | −0.400088 | − | 1.23134i | −0.0183380 | − | 0.0564385i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 9.22233 | + | 6.70041i | 0.421819 | + | 0.306470i | ||||
\(479\) | 3.79154 | − | 36.0741i | 0.173240 | − | 1.64827i | −0.470046 | − | 0.882642i | \(-0.655763\pi\) |
0.643286 | − | 0.765626i | \(-0.277571\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 4.45480 | + | 0.946896i | 0.203121 | + | 0.0431747i | ||||
\(482\) | −1.42694 | − | 13.5764i | −0.0649953 | − | 0.618389i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 4.26634 | + | 0.503273i | 0.193924 | + | 0.0228760i | ||||
\(485\) | −8.39529 | −0.381211 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −2.68379 | − | 8.25986i | −0.121614 | − | 0.374290i | 0.871655 | − | 0.490120i | \(-0.163047\pi\) |
−0.993269 | + | 0.115830i | \(0.963047\pi\) | |||||||
\(488\) | −11.0968 | + | 2.35870i | −0.502329 | + | 0.106773i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −5.41772 | + | 2.41213i | −0.244748 | + | 0.108969i | ||||
\(491\) | 22.2133 | + | 24.6704i | 1.00247 | + | 1.11336i | 0.993549 | + | 0.113400i | \(0.0361742\pi\) |
0.00892472 | + | 0.999960i | \(0.497159\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 29.2753 | + | 13.0342i | 1.31849 | + | 0.587032i | ||||
\(494\) | 6.10872 | 0.274844 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 42.2506 | 1.89711 | ||||||||
\(497\) | 8.11848 | + | 3.61458i | 0.364163 | + | 0.162136i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 13.9694 | + | 15.5146i | 0.625355 | + | 0.694527i | 0.969695 | − | 0.244318i | \(-0.0785641\pi\) |
−0.344340 | + | 0.938845i | \(0.611897\pi\) | |||||||
\(500\) | 2.03818 | − | 0.907458i | 0.0911504 | − | 0.0405828i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −31.1136 | + | 6.61341i | −1.38867 | + | 0.295171i | ||||
\(503\) | −7.20593 | − | 22.1776i | −0.321297 | − | 0.988850i | −0.973085 | − | 0.230448i | \(-0.925981\pi\) |
0.651788 | − | 0.758401i | \(-0.274019\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −8.50663 | −0.378540 | ||||||||
\(506\) | −12.5553 | + | 19.0672i | −0.558149 | + | 0.847641i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 0.489718 | + | 4.65935i | 0.0217277 | + | 0.206725i | ||||
\(509\) | 6.33958 | + | 1.34752i | 0.280997 | + | 0.0597278i | 0.346254 | − | 0.938141i | \(-0.387453\pi\) |
−0.0652572 | + | 0.997868i | \(0.520787\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −1.16844 | + | 11.1170i | −0.0516887 | + | 0.491785i | ||||
\(512\) | −10.4751 | − | 7.61063i | −0.462940 | − | 0.336346i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −1.61605 | − | 4.97368i | −0.0712807 | − | 0.219379i | ||||
\(515\) | 2.39534 | + | 1.06647i | 0.105551 | + | 0.0469944i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −0.274935 | + | 0.702856i | −0.0120916 | + | 0.0309116i | ||||
\(518\) | 1.61390 | − | 2.79537i | 0.0709109 | − | 0.122821i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 1.55258 | − | 1.72432i | 0.0680854 | − | 0.0756164i | ||||
\(521\) | 10.2625 | − | 31.5848i | 0.449610 | − | 1.38376i | −0.427738 | − | 0.903903i | \(-0.640689\pi\) |
0.877348 | − | 0.479855i | \(-0.159311\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 32.4728 | + | 23.5929i | 1.41994 | + | 1.03164i | 0.991782 | + | 0.127938i | \(0.0408359\pi\) |
0.428154 | + | 0.903706i | \(0.359164\pi\) | |||||||
\(524\) | −2.63242 | + | 0.559539i | −0.114998 | + | 0.0244436i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 2.30823 | + | 21.9613i | 0.100644 | + | 0.957560i | ||||
\(527\) | −20.9585 | + | 36.3011i | −0.912965 | + | 1.58130i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 1.58985 | + | 2.75370i | 0.0691240 | + | 0.119726i | ||||
\(530\) | −4.22376 | + | 3.06874i | −0.183468 | + | 0.133298i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0.218567 | − | 0.672680i | 0.00947608 | − | 0.0291644i | ||||
\(533\) | 0.190001 | − | 1.80774i | 0.00822986 | − | 0.0783019i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −6.23710 | − | 6.92700i | −0.269653 | − | 0.299480i | ||||
\(536\) | 19.6951 | + | 4.18632i | 0.850698 | + | 0.180821i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −5.19534 | − | 8.99859i | −0.223987 | − | 0.387957i | ||||
\(539\) | 15.2903 | − | 15.0973i | 0.658599 | − | 0.650287i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −19.9410 | + | 14.4880i | −0.857332 | + | 0.622888i | −0.927158 | − | 0.374671i | \(-0.877756\pi\) |
0.0698260 | + | 0.997559i | \(0.477756\pi\) | |||||||
\(542\) | 4.11794 | − | 4.57344i | 0.176881 | − | 0.196446i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −9.14294 | + | 4.07070i | −0.392000 | + | 0.174530i | ||||
\(545\) | 7.40801 | − | 3.29826i | 0.317324 | − | 0.141282i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 17.2103 | − | 19.1139i | 0.735858 | − | 0.817253i | −0.252787 | − | 0.967522i | \(-0.581347\pi\) |
0.988645 | + | 0.150269i | \(0.0480139\pi\) | |||||||
\(548\) | 2.92147 | − | 2.12257i | 0.124799 | − | 0.0906716i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −16.9659 | + | 16.7517i | −0.723427 | + | 0.714296i | ||||
\(551\) | 8.75329 | + | 15.1611i | 0.372902 | + | 0.645886i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 10.3240 | + | 2.19442i | 0.439019 | + | 0.0933164i | ||||
\(554\) | 13.5859 | + | 15.0887i | 0.577211 | + | 0.641058i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −0.882224 | + | 8.39380i | −0.0374146 | + | 0.355976i | ||||
\(557\) | −3.60979 | + | 11.1098i | −0.152952 | + | 0.470737i | −0.997948 | − | 0.0640357i | \(-0.979603\pi\) |
0.844996 | + | 0.534773i | \(0.179603\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −5.36998 | + | 3.90152i | −0.227126 | + | 0.165017i | ||||
\(560\) | −0.989164 | − | 1.71328i | −0.0417998 | − | 0.0723994i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 2.29436 | − | 3.97396i | 0.0967819 | − | 0.167631i | ||||
\(563\) | 0.848991 | + | 8.07761i | 0.0357807 | + | 0.340431i | 0.997738 | + | 0.0672292i | \(0.0214159\pi\) |
−0.961957 | + | 0.273201i | \(0.911917\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −4.65021 | + | 0.988432i | −0.195636 | + | 0.0415836i | ||||
\(566\) | 10.1229 | + | 7.35468i | 0.425495 | + | 0.309140i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 9.46559 | − | 29.1321i | 0.397167 | − | 1.22236i | ||||
\(569\) | 12.0488 | − | 13.3815i | 0.505111 | − | 0.560983i | −0.435622 | − | 0.900129i | \(-0.643472\pi\) |
0.940733 | + | 0.339147i | \(0.110138\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 1.30322 | − | 2.25725i | 0.0545382 | − | 0.0944629i | −0.837467 | − | 0.546487i | \(-0.815965\pi\) |
0.892006 | + | 0.452024i | \(0.149298\pi\) | |||||||
\(572\) | 0.743151 | − | 1.89982i | 0.0310727 | − | 0.0794356i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −1.17689 | − | 0.523986i | −0.0491225 | − | 0.0218707i | ||||
\(575\) | −6.39652 | − | 19.6865i | −0.266753 | − | 0.820982i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −28.4684 | − | 20.6835i | −1.18515 | − | 0.861064i | −0.192409 | − | 0.981315i | \(-0.561630\pi\) |
−0.992744 | + | 0.120251i | \(0.961630\pi\) | |||||||
\(578\) | 0.660439 | − | 6.28365i | 0.0274706 | − | 0.261366i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −1.57827 | − | 0.335473i | −0.0655343 | − | 0.0139297i | ||||
\(581\) | −0.524704 | − | 4.99223i | −0.0217684 | − | 0.207112i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 10.4033 | − | 15.7991i | 0.430861 | − | 0.654333i | ||||
\(584\) | 38.5294 | 1.59436 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −7.50863 | − | 23.1092i | −0.310179 | − | 0.954631i | ||||
\(587\) | 23.0377 | − | 4.89682i | 0.950869 | − | 0.202113i | 0.293735 | − | 0.955887i | \(-0.405102\pi\) |
0.657134 | + | 0.753774i | \(0.271768\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −20.9194 | + | 9.31391i | −0.861968 | + | 0.383773i | ||||
\(590\) | −4.36928 | − | 4.85258i | −0.179880 | − | 0.199777i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −12.2272 | − | 5.44392i | −0.502536 | − | 0.223744i | ||||
\(593\) | −13.1828 | −0.541354 | −0.270677 | − | 0.962670i | \(-0.587248\pi\) | ||||
−0.270677 | + | 0.962670i | \(0.587248\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 1.96270 | 0.0804630 | ||||||||
\(596\) | 0.409018 | + | 0.182106i | 0.0167540 | + | 0.00745937i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 7.25412 | + | 8.05651i | 0.296643 | + | 0.329455i | ||||
\(599\) | −31.2582 | + | 13.9171i | −1.27718 | + | 0.568636i | −0.929446 | − | 0.368958i | \(-0.879715\pi\) |
−0.347731 | + | 0.937594i | \(0.613048\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −28.3942 | + | 6.03537i | −1.15822 | + | 0.246188i | −0.746668 | − | 0.665197i | \(-0.768347\pi\) |
−0.411555 | + | 0.911385i | \(0.635014\pi\) | |||||||
\(602\) | 1.45372 | + | 4.47410i | 0.0592493 | + | 0.182351i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 0.343924 | 0.0139941 | ||||||||
\(605\) | −2.72416 | + | 5.91521i | −0.110753 | + | 0.240487i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 0.329929 | + | 3.13906i | 0.0133914 | + | 0.127411i | 0.999175 | − | 0.0406085i | \(-0.0129296\pi\) |
−0.985784 | + | 0.168019i | \(0.946263\pi\) | |||||||
\(608\) | −5.34798 | − | 1.13675i | −0.216889 | − | 0.0461012i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −0.436207 | + | 4.15024i | −0.0176615 | + | 0.168038i | ||||
\(611\) | 0.289945 | + | 0.210657i | 0.0117299 | + | 0.00852229i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 10.4884 | + | 32.2798i | 0.423620 | + | 1.30377i | 0.904309 | + | 0.426878i | \(0.140387\pi\) |
−0.480689 | + | 0.876891i | \(0.659613\pi\) | |||||||
\(614\) | 4.96221 | + | 2.20932i | 0.200258 | + | 0.0891608i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 4.60667 | + | 3.77910i | 0.185608 | + | 0.152264i | ||||
\(617\) | −10.8039 | + | 18.7129i | −0.434948 | + | 0.753351i | −0.997291 | − | 0.0735523i | \(-0.976566\pi\) |
0.562344 | + | 0.826904i | \(0.309900\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 13.7256 | − | 15.2438i | 0.551679 | − | 0.612701i | −0.401223 | − | 0.915980i | \(-0.631415\pi\) |
0.952902 | + | 0.303279i | \(0.0980815\pi\) | |||||||
\(620\) | 0.652196 | − | 2.00725i | 0.0261928 | − | 0.0806132i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −32.9404 | − | 23.9326i | −1.32079 | − | 0.959611i | ||||
\(623\) | 8.81325 | − | 1.87331i | 0.353095 | − | 0.0750527i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −2.07649 | − | 19.7565i | −0.0830597 | − | 0.790260i | ||||
\(626\) | −1.90263 | + | 3.29545i | −0.0760444 | + | 0.131713i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 1.91094 | + | 3.30985i | 0.0762550 | + | 0.132078i | ||||
\(629\) | 10.7427 | − | 7.80501i | 0.428339 | − | 0.311206i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 9.22863 | − | 28.4028i | 0.367386 | − | 1.13070i | −0.581087 | − | 0.813841i | \(-0.697372\pi\) |
0.948473 | − | 0.316857i | \(-0.102628\pi\) | |||||||
\(632\) | 3.80275 | − | 36.1807i | 0.151265 | − | 1.43919i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −27.4234 | − | 30.4568i | −1.08912 | − | 1.20959i | ||||
\(635\) | −6.94700 | − | 1.47663i | −0.275683 | − | 0.0585983i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −5.10193 | − | 8.83680i | −0.202146 | − | 0.350127i | ||||
\(638\) | 35.3803 | − | 5.37360i | 1.40072 | − | 0.212743i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −6.44762 | + | 4.68447i | −0.254864 | + | 0.185170i | ||||
\(641\) | 25.5073 | − | 28.3287i | 1.00748 | − | 1.11892i | 0.0145863 | − | 0.999894i | \(-0.495357\pi\) |
0.992891 | − | 0.119024i | \(-0.0379764\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −15.3705 | + | 6.84340i | −0.606154 | + | 0.269877i | −0.686778 | − | 0.726867i | \(-0.740976\pi\) |
0.0806235 | + | 0.996745i | \(0.474309\pi\) | |||||||
\(644\) | 1.14672 | − | 0.510551i | 0.0451870 | − | 0.0201185i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 11.9177 | − | 13.2359i | 0.468895 | − | 0.520761i | ||||
\(647\) | −16.9687 | + | 12.3285i | −0.667109 | + | 0.484683i | −0.869056 | − | 0.494713i | \(-0.835273\pi\) |
0.201947 | + | 0.979396i | \(0.435273\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 21.0120 | + | 10.8748i | 0.824792 | + | 0.426872i | ||||
\(650\) | 5.66102 | + | 9.80517i | 0.222043 | + | 0.384591i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −1.76859 | − | 0.375925i | −0.0692632 | − | 0.0147223i | ||||
\(653\) | −13.2264 | − | 14.6894i | −0.517587 | − | 0.574839i | 0.426520 | − | 0.904478i | \(-0.359739\pi\) |
−0.944107 | + | 0.329639i | \(0.893073\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 0.426450 | − | 4.05740i | 0.0166628 | − | 0.158536i | ||||
\(656\) | −1.65074 | + | 5.08046i | −0.0644506 | + | 0.198358i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0.205494 | − | 0.149300i | 0.00801101 | − | 0.00582034i | ||||
\(659\) | −5.90277 | − | 10.2239i | −0.229939 | − | 0.398267i | 0.727851 | − | 0.685736i | \(-0.240519\pi\) |
−0.957790 | + | 0.287469i | \(0.907186\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −8.90382 | + | 15.4219i | −0.346318 | + | 0.599841i | −0.985592 | − | 0.169138i | \(-0.945902\pi\) |
0.639274 | + | 0.768979i | \(0.279235\pi\) | |||||||
\(662\) | 1.30972 | + | 12.4612i | 0.0509039 | + | 0.484318i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −16.9241 | + | 3.59733i | −0.656782 | + | 0.139603i | ||||
\(665\) | 0.867445 | + | 0.630235i | 0.0336381 | + | 0.0244395i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −9.60079 | + | 29.5482i | −0.371744 | + | 1.14411i | ||||
\(668\) | 4.43916 | − | 4.93019i | 0.171756 | − | 0.190755i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 3.70329 | − | 6.41429i | 0.143071 | − | 0.247806i | ||||
\(671\) | −3.82060 | − | 14.6297i | −0.147493 | − | 0.564773i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 18.0017 | + | 8.01486i | 0.693913 | + | 0.308950i | 0.723217 | − | 0.690620i | \(-0.242662\pi\) |
−0.0293041 | + | 0.999571i | \(0.509329\pi\) | |||||||
\(674\) | −11.8111 | − | 36.3508i | −0.454946 | − | 1.40018i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 3.32365 | + | 2.41477i | 0.127833 | + | 0.0928760i | ||||
\(677\) | −1.29761 | + | 12.3459i | −0.0498711 | + | 0.474492i | 0.940874 | + | 0.338757i | \(0.110006\pi\) |
−0.990745 | + | 0.135735i | \(0.956660\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −10.0139 | − | 2.12852i | −0.384297 | − | 0.0816850i | ||||
\(680\) | −0.707148 | − | 6.72806i | −0.0271179 | − | 0.258010i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 2.15290 | + | 46.7597i | 0.0824387 | + | 1.79052i | ||||
\(683\) | −2.02837 | −0.0776135 | −0.0388068 | − | 0.999247i | \(-0.512356\pi\) | ||||
−0.0388068 | + | 0.999247i | \(0.512356\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 1.69164 | + | 5.20632i | 0.0646341 | + | 0.198923i | ||||
\(686\) | −14.7167 | + | 3.12813i | −0.561886 | + | 0.119433i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 17.8205 | − | 7.93420i | 0.679400 | − | 0.302488i | ||||
\(689\) | −6.01077 | − | 6.67564i | −0.228992 | − | 0.254322i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 2.14032 | + | 0.952931i | 0.0814215 | + | 0.0362512i | 0.447043 | − | 0.894512i | \(-0.352477\pi\) |
−0.365622 | + | 0.930764i | \(0.619144\pi\) | |||||||
\(692\) | 0.230830 | 0.00877483 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −3.19995 | −0.121469 | ||||||||
\(695\) | −11.6884 | − | 5.20402i | −0.443367 | − | 0.197400i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −3.54620 | − | 3.93846i | −0.134322 | − | 0.149180i | ||||
\(698\) | 7.36497 | − | 3.27910i | 0.278768 | − | 0.124116i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 1.28228 | − | 0.272556i | 0.0484655 | − | 0.0103016i | ||||
\(701\) | 1.37008 | + | 4.21668i | 0.0517473 | + | 0.159262i | 0.973591 | − | 0.228301i | \(-0.0733170\pi\) |
−0.921843 | + | 0.387563i | \(0.873317\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 7.25411 | 0.273594 | ||||||||
\(704\) | 10.7384 | − | 16.3081i | 0.404720 | − | 0.614634i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −3.50261 | − | 33.3251i | −0.131822 | − | 1.25421i | ||||
\(707\) | −10.1467 | − | 2.15675i | −0.381606 | − | 0.0811128i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −3.12357 | + | 29.7188i | −0.117308 | + | 1.11611i | 0.764538 | + | 0.644578i | \(0.222967\pi\) |
−0.881847 | + | 0.471536i | \(0.843700\pi\) | |||||||
\(710\) | −9.11565 | − | 6.62291i | −0.342104 | − | 0.248553i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −9.59699 | − | 29.5365i | −0.359662 | − | 1.10693i | ||||
\(713\) | −37.1255 | − | 16.5293i | −1.39036 | − | 0.619029i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 2.39093 | + | 1.96141i | 0.0894157 | + | 0.0733525i | ||||
\(716\) | −1.88258 | + | 3.26072i | −0.0703551 | + | 0.121859i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 9.05541 | − | 10.0571i | 0.337945 | − | 0.375326i | ||||
\(719\) | 6.68469 | − | 20.5734i | 0.249297 | − | 0.767257i | −0.745603 | − | 0.666390i | \(-0.767838\pi\) |
0.994900 | − | 0.100867i | \(-0.0321616\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 2.58676 | + | 1.87939i | 0.0963360 | + | 0.0699922i | ||||
\(722\) | −19.2173 | + | 4.08477i | −0.715194 | + | 0.152019i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 0.194391 | + | 1.84950i | 0.00722447 | + | 0.0687363i | ||||
\(725\) | −16.2235 | + | 28.1000i | −0.602527 | + | 1.04361i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 6.22109 | + | 10.7752i | 0.230727 | + | 0.399631i | 0.958022 | − | 0.286694i | \(-0.0925561\pi\) |
−0.727295 | + | 0.686325i | \(0.759223\pi\) | |||||||
\(728\) | 2.28910 | − | 1.66313i | 0.0848396 | − | 0.0616396i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 4.37965 | − | 13.4792i | 0.162098 | − | 0.498887i | ||||
\(731\) | −2.02293 | + | 19.2469i | −0.0748207 | + | 0.711872i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −35.0305 | − | 38.9053i | −1.29388 | − | 1.43700i | −0.836736 | − | 0.547606i | \(-0.815539\pi\) |
−0.457143 | − | 0.889393i | \(-0.651127\pi\) | |||||||
\(734\) | −10.2329 | − | 2.17507i | −0.377703 | − | 0.0802833i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −4.85153 | − | 8.40310i | −0.178830 | − | 0.309742i | ||||
\(737\) | −4.36635 | + | 26.4786i | −0.160837 | + | 0.975352i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 37.7617 | − | 27.4355i | 1.38909 | − | 1.00923i | 0.393122 | − | 0.919486i | \(-0.371395\pi\) |
0.995965 | − | 0.0897445i | \(-0.0286051\pi\) | |||||||
\(740\) | −0.447375 | + | 0.496861i | −0.0164458 | + | 0.0182650i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −5.81613 | + | 2.58951i | −0.213517 | + | 0.0950638i | ||||
\(743\) | 19.9810 | − | 8.89609i | 0.733030 | − | 0.326366i | −0.00605180 | − | 0.999982i | \(-0.501926\pi\) |
0.739082 | + | 0.673616i | \(0.235260\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −0.454155 | + | 0.504391i | −0.0166390 | + | 0.0184794i | ||||
\(746\) | −27.3853 | + | 19.8966i | −1.00265 | + | 0.728466i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −2.66657 | − | 5.31664i | −0.0974994 | − | 0.194395i | ||||
\(749\) | −5.68334 | − | 9.84384i | −0.207665 | − | 0.359686i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −38.7269 | − | 8.23167i | −1.41317 | − | 0.300378i | −0.562810 | − | 0.826586i | \(-0.690280\pi\) |
−0.850356 | + | 0.526208i | \(0.823613\pi\) | |||||||
\(752\) | −0.704764 | − | 0.782720i | −0.0257001 | − | 0.0285429i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 1.77633 | − | 16.9006i | 0.0646900 | − | 0.615484i | ||||
\(755\) | −0.161111 | + | 0.495850i | −0.00586344 | + | 0.0180458i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −18.7253 | + | 13.6047i | −0.680583 | + | 0.494472i | −0.873551 | − | 0.486733i | \(-0.838189\pi\) |
0.192968 | + | 0.981205i | \(0.438189\pi\) | |||||||
\(758\) | −26.1480 | − | 45.2896i | −0.949736 | − | 1.64499i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 1.84789 | − | 3.20063i | 0.0670299 | − | 0.116099i | ||||
\(761\) | −1.55673 | − | 14.8113i | −0.0564313 | − | 0.536908i | −0.985820 | − | 0.167806i | \(-0.946332\pi\) |
0.929389 | − | 0.369102i | \(-0.120335\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 9.67249 | − | 2.05595i | 0.350168 | − | 0.0744304i | ||||
\(764\) | −1.64233 | − | 1.19322i | −0.0594173 | − | 0.0431692i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −8.77872 | + | 27.0181i | −0.317188 | + | 0.976204i | ||||
\(767\) | 7.51774 | − | 8.34930i | 0.271450 | − | 0.301476i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −10.8117 | + | 18.7264i | −0.389879 | + | 0.675290i | −0.992433 | − | 0.122788i | \(-0.960816\pi\) |
0.602554 | + | 0.798078i | \(0.294150\pi\) | |||||||
\(770\) | 1.84572 | − | 1.18203i | 0.0665153 | − | 0.0425974i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 1.16595 | + | 0.519116i | 0.0419636 | + | 0.0186834i | ||||
\(773\) | 1.87664 | + | 5.77569i | 0.0674979 | + | 0.207737i | 0.979117 | − | 0.203300i | \(-0.0651666\pi\) |
−0.911619 | + | 0.411037i | \(0.865167\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −34.3361 | − | 24.9466i | −1.23339 | − | 0.896109i | ||||
\(776\) | −3.68853 | + | 35.0941i | −0.132411 | + | 1.25980i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 46.5903 | + | 9.90307i | 1.67034 | + | 0.355042i | ||||
\(779\) | −0.302633 | − | 2.87936i | −0.0108430 | − | 0.103164i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 39.3667 | + | 10.8167i | 1.40865 | + | 0.387051i | ||||
\(782\) | 31.6086 | 1.13032 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 9.26663 | + | 28.5197i | 0.330951 | + | 1.01856i | ||||
\(785\) | −5.66714 | + | 1.20459i | −0.202269 | + | 0.0429936i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 46.7328 | − | 20.8068i | 1.66584 | − | 0.741681i | 0.665853 | − | 0.746083i | \(-0.268068\pi\) |
0.999990 | + | 0.00440228i | \(0.00140129\pi\) | |||||||
\(788\) | 5.86995 | + | 6.51924i | 0.209108 | + | 0.232238i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −12.2252 | − | 5.44303i | −0.434954 | − | 0.193654i | ||||
\(791\) | −5.79736 | −0.206130 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −7.18019 | −0.254976 | ||||||||
\(794\) | 11.7175 | + | 5.21697i | 0.415839 | + | 0.185143i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −5.44309 | − | 6.04516i | −0.192925 | − | 0.214265i | ||||
\(797\) | 23.0773 | − | 10.2747i | 0.817439 | − | 0.363947i | 0.0449609 | − | 0.998989i | \(-0.485684\pi\) |
0.772478 | + | 0.635041i | \(0.219017\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 1.02210 | − | 0.217254i | 0.0361593 | − | 0.00768590i | ||||
\(800\) | −3.13143 | − | 9.63754i | −0.110713 | − | 0.340738i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −6.08192 | −0.214760 | ||||||||
\(803\) | 2.36185 | + | 51.2980i | 0.0833480 | + | 1.81027i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0.198903 | + | 1.89244i | 0.00701042 | + | 0.0666997i | ||||
\(806\) | 21.7425 | + | 4.62152i | 0.765848 | + | 0.162786i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −3.73745 | + | 35.5595i | −0.131483 | + | 1.25098i | ||||
\(809\) | 41.5248 | + | 30.1696i | 1.45994 | + | 1.06071i | 0.983380 | + | 0.181561i | \(0.0581150\pi\) |
0.476556 | + | 0.879144i | \(0.341885\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 1.40476 | + | 4.32339i | 0.0493276 | + | 0.151815i | 0.972686 | − | 0.232124i | \(-0.0745674\pi\) |
−0.923359 | + | 0.383939i | \(0.874567\pi\) | |||||||
\(812\) | −1.79751 | − | 0.800302i | −0.0630801 | − | 0.0280851i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 5.40186 | − | 13.8096i | 0.189335 | − | 0.484025i | ||||
\(815\) | 1.37048 | − | 2.37375i | 0.0480059 | − | 0.0831487i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −7.07435 | + | 7.85686i | −0.247500 | + | 0.274877i | ||||
\(818\) | 1.19649 | − | 3.68241i | 0.0418342 | − | 0.128753i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0.215882 | + | 0.156848i | 0.00753894 | + | 0.00547736i | ||||
\(821\) | 10.6362 | − | 2.26079i | 0.371205 | − | 0.0789021i | −0.0185320 | − | 0.999828i | \(-0.505899\pi\) |
0.389737 | + | 0.920926i | \(0.372566\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 2.46856 | + | 23.4868i | 0.0860486 | + | 0.818697i | 0.949395 | + | 0.314085i | \(0.101698\pi\) |
−0.863346 | + | 0.504612i | \(0.831636\pi\) | |||||||
\(824\) | 5.51048 | − | 9.54444i | 0.191967 | − | 0.332496i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −3.98136 | − | 6.89591i | −0.138529 | − | 0.239940i | ||||
\(827\) | −22.3321 | + | 16.2252i | −0.776564 | + | 0.564207i | −0.903946 | − | 0.427647i | \(-0.859343\pi\) |
0.127382 | + | 0.991854i | \(0.459343\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −4.97546 | + | 15.3129i | −0.172805 | + | 0.531839i | −0.999526 | − | 0.0307727i | \(-0.990203\pi\) |
0.826722 | + | 0.562611i | \(0.190203\pi\) | |||||||
\(830\) | −0.665273 | + | 6.32965i | −0.0230920 | + | 0.219705i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −6.20441 | − | 6.89069i | −0.215099 | − | 0.238892i | ||||
\(833\) | −29.1005 | − | 6.18550i | −1.00827 | − | 0.214315i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 5.02854 | + | 8.70968i | 0.174020 | + | 0.301411i | ||||
\(836\) | 0.528675 | − | 3.20601i | 0.0182846 | − | 0.110882i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −13.4334 | + | 9.75993i | −0.464049 | + | 0.337151i | ||||
\(839\) | 13.0025 | − | 14.4407i | 0.448896 | − | 0.498549i | −0.475642 | − | 0.879639i | \(-0.657784\pi\) |
0.924538 | + | 0.381089i | \(0.124451\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 17.9979 | − | 8.01318i | 0.620617 | − | 0.276317i | ||||
\(842\) | −31.3390 | + | 13.9530i | −1.08001 | + | 0.480853i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 0.886407 | − | 0.984455i | 0.0305114 | − | 0.0338863i | ||||
\(845\) | −5.03845 | + | 3.66065i | −0.173328 | + | 0.125930i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −4.74909 | + | 6.36497i | −0.163181 | + | 0.218703i | ||||
\(848\) | 13.1997 | + | 22.8626i | 0.453280 | + | 0.785103i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 32.2894 | + | 6.86333i | 1.10752 | + | 0.235410i | ||||
\(851\) | 8.61427 | + | 9.56712i | 0.295293 | + | 0.327957i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 2.06815 | − | 19.6771i | 0.0708121 | − | 0.673732i | −0.900326 | − | 0.435215i | \(-0.856672\pi\) |
0.971138 | − | 0.238517i | \(-0.0766611\pi\) | |||||||
\(854\) | −1.57255 | + | 4.83980i | −0.0538114 | + | 0.165614i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −31.6966 | + | 23.0289i | −1.08337 | + | 0.787112i | ||||
\(857\) | −2.17032 | − | 3.75911i | −0.0741369 | − | 0.128409i | 0.826574 | − | 0.562828i | \(-0.190287\pi\) |
−0.900711 | + | 0.434420i | \(0.856953\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 2.58967 | − | 4.48545i | 0.0883586 | − | 0.153042i | −0.818459 | − | 0.574565i | \(-0.805171\pi\) |
0.906817 | + | 0.421524i | \(0.138505\pi\) | |||||||
\(860\) | −0.101856 | − | 0.969096i | −0.00347327 | − | 0.0330459i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 27.9153 | − | 5.93357i | 0.950797 | − | 0.202098i | ||||
\(863\) | −2.17943 | − | 1.58345i | −0.0741886 | − | 0.0539011i | 0.550073 | − | 0.835117i | \(-0.314600\pi\) |
−0.624261 | + | 0.781216i | \(0.714600\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −0.108132 | + | 0.332797i | −0.00367661 | + | 0.0113155i | ||||
\(866\) | −15.6392 | + | 17.3691i | −0.531441 | + | 0.590225i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 1.28685 | − | 2.22889i | 0.0436785 | − | 0.0756534i | ||||
\(869\) | 48.4040 | + | 2.84509i | 1.64199 | + | 0.0965132i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 11.6420 | + | 5.18333i | 0.394472 | + | 0.175630i | ||||
\(872\) | −10.5326 | − | 32.4161i | −0.356680 | − | 1.09775i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 13.9699 | + | 10.1497i | 0.472538 | + | 0.343319i | ||||
\(875\) | −0.431114 | + | 4.10177i | −0.0145743 | + | 0.138665i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 20.3893 | + | 4.33387i | 0.688497 | + | 0.146344i | 0.538858 | − | 0.842396i | \(-0.318856\pi\) |
0.149638 | + | 0.988741i | \(0.452189\pi\) | |||||||
\(878\) | 3.87155 | + | 36.8353i | 0.130658 | + | 1.24313i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −5.67454 | − | 7.09919i | −0.191289 | − | 0.239314i | ||||
\(881\) | −11.5843 | −0.390286 | −0.195143 | − | 0.980775i | \(-0.562517\pi\) | ||||
−0.195143 | + | 0.980775i | \(0.562517\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 4.75801 | + | 14.6437i | 0.160120 | + | 0.492798i | 0.998644 | − | 0.0520667i | \(-0.0165808\pi\) |
−0.838524 | + | 0.544865i | \(0.816581\pi\) | |||||||
\(884\) | −2.76274 | + | 0.587239i | −0.0929211 | + | 0.0197510i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 36.0146 | − | 16.0348i | 1.20994 | − | 0.538698i | ||||
\(887\) | 3.95453 | + | 4.39196i | 0.132780 | + | 0.147467i | 0.805868 | − | 0.592095i | \(-0.201699\pi\) |
−0.673088 | + | 0.739563i | \(0.735032\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −7.91198 | − | 3.52264i | −0.265359 | − | 0.118146i | ||||
\(890\) | −11.4240 | −0.382932 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −4.30623 | −0.144183 | ||||||||
\(893\) | 0.521493 | + | 0.232184i | 0.0174511 | + | 0.00776974i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −3.81922 | − | 4.24168i | −0.127663 | − | 0.141784i | ||||
\(896\) | −8.87838 | + | 3.95291i | −0.296606 | + | 0.132057i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 34.0013 | − | 7.22719i | 1.13464 | − | 0.241174i | ||||
\(899\) | 19.6852 | + | 60.5847i | 0.656537 | + | 2.02061i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −26.1909 | −0.872546 | ||||||||
\(902\) | −5.70677 | − | 1.56803i | −0.190015 | − | 0.0522098i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 2.08875 | + | 19.8731i | 0.0694707 | + | 0.660969i | ||||
\(905\) | −2.75757 | − | 0.586140i | −0.0916648 | − | 0.0194840i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 0.772812 | − | 7.35282i | 0.0256608 | − | 0.244146i | −0.974171 | − | 0.225811i | \(-0.927497\pi\) |
0.999832 | − | 0.0183351i | \(-0.00583657\pi\) | |||||||
\(908\) | −1.88525 | − | 1.36971i | −0.0625642 | − | 0.0454556i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −0.321628 | − | 0.989869i | −0.0106619 | − | 0.0328138i | ||||
\(911\) | 12.9713 | + | 5.77517i | 0.429757 | + | 0.191340i | 0.610203 | − | 0.792245i | \(-0.291088\pi\) |
−0.180447 | + | 0.983585i | \(0.557754\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −5.82692 | − | 22.3122i | −0.192843 | − | 0.738426i | ||||
\(914\) | 16.7675 | − | 29.0422i | 0.554620 | − | 0.960631i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 6.46787 | − | 7.18330i | 0.213704 | − | 0.237343i | ||||
\(917\) | 1.53737 | − | 4.73153i | 0.0507684 | − | 0.156249i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 33.6895 | + | 24.4769i | 1.11132 | + | 0.807418i | 0.982870 | − | 0.184299i | \(-0.0590013\pi\) |
0.128445 | + | 0.991717i | \(0.459001\pi\) | |||||||
\(920\) | 6.41554 | − | 1.36366i | 0.211514 | − | 0.0449587i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 1.95613 | + | 18.6114i | 0.0644218 | + | 0.612932i | ||||
\(923\) | 9.69344 | − | 16.7895i | 0.319063 | − | 0.552634i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 6.72247 | + | 11.6437i | 0.221033 | + | 0.382841i | ||||
\(926\) | 25.0555 | − | 18.2039i | 0.823376 | − | 0.598218i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −4.70008 | + | 14.4654i | −0.154288 | + | 0.474849i | ||||
\(929\) | −3.56785 | + | 33.9458i | −0.117057 | + | 1.11373i | 0.765473 | + | 0.643469i | \(0.222505\pi\) |
−0.882530 | + | 0.470257i | \(0.844161\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −10.8752 | − | 12.0781i | −0.356419 | − | 0.395844i | ||||
\(932\) | 1.59999 | + | 0.340089i | 0.0524094 | + | 0.0111400i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −4.69059 | − | 8.12434i | −0.153481 | − | 0.265837i | ||||
\(935\) | 8.91439 | − | 1.35393i | 0.291532 | − | 0.0442781i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −41.8118 | + | 30.3780i | −1.36593 | + | 0.992407i | −0.367889 | + | 0.929870i | \(0.619919\pi\) |
−0.998043 | + | 0.0625376i | \(0.980081\pi\) | |||||||
\(938\) | 6.04353 | − | 6.71202i | 0.197328 | − | 0.219155i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −0.0480647 | + | 0.0213998i | −0.00156770 | + | 0.000697984i | ||||
\(941\) | −16.4495 | + | 7.32378i | −0.536237 | + | 0.238748i | −0.656943 | − | 0.753940i | \(-0.728151\pi\) |
0.120706 | + | 0.992688i | \(0.461484\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 3.43809 | − | 3.81838i | 0.111959 | − | 0.124344i | ||||
\(944\) | −26.7122 | + | 19.4075i | −0.869407 | + | 0.631661i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 9.68901 | + | 19.3181i | 0.315017 | + | 0.628084i | ||||
\(947\) | 14.3151 | + | 24.7946i | 0.465180 | + | 0.805715i | 0.999210 | − | 0.0397506i | \(-0.0126563\pi\) |
−0.534030 | + | 0.845466i | \(0.679323\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 23.8528 | + | 5.07007i | 0.774295 | + | 0.164581i | ||||
\(950\) | 12.0669 | + | 13.4017i | 0.391502 | + | 0.434808i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0.862328 | − | 8.20451i | 0.0279482 | − | 0.265910i | ||||
\(953\) | −5.15728 | + | 15.8725i | −0.167061 | + | 0.514160i | −0.999182 | − | 0.0404331i | \(-0.987126\pi\) |
0.832121 | + | 0.554594i | \(0.187126\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 2.48967 | − | 1.80885i | 0.0805637 | − | 0.0585330i | ||||
\(956\) | −1.43969 | − | 2.49361i | −0.0465628 | − | 0.0806492i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −28.0414 | + | 48.5690i | −0.905975 | + | 1.56919i | ||||
\(959\) | 0.697785 | + | 6.63898i | 0.0225327 | + | 0.214384i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −51.1814 | + | 10.8789i | −1.65101 | + | 0.350933i | ||||
\(962\) | −5.69677 | − | 4.13895i | −0.183671 | − | 0.133445i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −1.06554 | + | 3.27939i | −0.0343187 | + | 0.105622i | ||||
\(965\) | −1.29463 | + | 1.43783i | −0.0416755 | + | 0.0462853i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −12.1597 | + | 21.0612i | −0.391029 | + | 0.677281i | −0.992585 | − | 0.121549i | \(-0.961214\pi\) |
0.601557 | + | 0.798830i | \(0.294547\pi\) | |||||||
\(968\) | 23.5299 | + | 13.9864i | 0.756280 | + | 0.449541i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 11.8581 | + | 5.27955i | 0.380739 | + | 0.169516i | ||||
\(971\) | −2.33367 | − | 7.18229i | −0.0748910 | − | 0.230491i | 0.906603 | − | 0.421985i | \(-0.138667\pi\) |
−0.981494 | + | 0.191495i | \(0.938667\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −12.6225 | − | 9.17079i | −0.404659 | − | 0.294002i | ||||
\(974\) | −1.40362 | + | 13.3545i | −0.0449748 | + | 0.427907i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 20.6403 | + | 4.38723i | 0.660679 | + | 0.140432i | ||||
\(977\) | 0.212432 | + | 2.02115i | 0.00679629 | + | 0.0646624i | 0.997394 | − | 0.0721420i | \(-0.0229835\pi\) |
−0.990598 | + | 0.136804i | \(0.956317\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 38.7366 | − | 14.5880i | 1.23803 | − | 0.466235i | ||||
\(980\) | 1.49797 | 0.0478508 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −15.8611 | − | 48.8154i | −0.506148 | − | 1.55776i | ||||
\(983\) | 32.7089 | − | 6.95248i | 1.04325 | − | 0.221750i | 0.345745 | − | 0.938329i | \(-0.387626\pi\) |
0.697506 | + | 0.716579i | \(0.254293\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −12.1489 | + | 5.40902i | −0.387095 | + | 0.172346i | ||||
\(986\) | −33.1536 | − | 36.8208i | −1.05583 | − | 1.17261i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −1.40960 | − | 0.627594i | −0.0448453 | − | 0.0199664i | ||||
\(989\) | −18.7629 | −0.596624 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 40.1009 | 1.27385 | 0.636923 | − | 0.770927i | \(-0.280207\pi\) | ||||
0.636923 | + | 0.770927i | \(0.280207\pi\) | |||||||
\(992\) | −18.1749 | − | 8.09197i | −0.577052 | − | 0.256920i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −9.19397 | − | 10.2109i | −0.291615 | − | 0.323871i | ||||
\(995\) | 11.2654 | − | 5.01568i | 0.357137 | − | 0.159008i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −15.7776 | + | 3.35364i | −0.499682 | + | 0.106211i | −0.450856 | − | 0.892597i | \(-0.648881\pi\) |
−0.0488260 | + | 0.998807i | \(0.515548\pi\) | |||||||
\(998\) | −9.97461 | − | 30.6987i | −0.315741 | − | 0.971750i | ||||
\(999\) | 0 | 0 |
(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 | 297.2.n.b.91.2 | 72 | ||
3.2 | odd | 2 | 99.2.m.b.58.8 | yes | 72 | ||
9.2 | odd | 6 | 99.2.m.b.25.2 | yes | 72 | ||
9.4 | even | 3 | 891.2.f.e.487.8 | 36 | |||
9.5 | odd | 6 | 891.2.f.f.487.2 | 36 | |||
9.7 | even | 3 | inner | 297.2.n.b.289.8 | 72 | ||
11.4 | even | 5 | inner | 297.2.n.b.37.8 | 72 | ||
33.2 | even | 10 | 1089.2.e.o.364.15 | 36 | |||
33.20 | odd | 10 | 1089.2.e.p.364.4 | 36 | |||
33.26 | odd | 10 | 99.2.m.b.4.2 | ✓ | 72 | ||
99.2 | even | 30 | 1089.2.e.o.727.15 | 36 | |||
99.4 | even | 15 | 891.2.f.e.730.8 | 36 | |||
99.13 | odd | 30 | 9801.2.a.cn.1.15 | 18 | |||
99.20 | odd | 30 | 1089.2.e.p.727.4 | 36 | |||
99.31 | even | 15 | 9801.2.a.cp.1.4 | 18 | |||
99.59 | odd | 30 | 891.2.f.f.730.2 | 36 | |||
99.68 | even | 30 | 9801.2.a.co.1.4 | 18 | |||
99.70 | even | 15 | inner | 297.2.n.b.235.2 | 72 | ||
99.86 | odd | 30 | 9801.2.a.cm.1.15 | 18 | |||
99.92 | odd | 30 | 99.2.m.b.70.8 | yes | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
99.2.m.b.4.2 | ✓ | 72 | 33.26 | odd | 10 | ||
99.2.m.b.25.2 | yes | 72 | 9.2 | odd | 6 | ||
99.2.m.b.58.8 | yes | 72 | 3.2 | odd | 2 | ||
99.2.m.b.70.8 | yes | 72 | 99.92 | odd | 30 | ||
297.2.n.b.37.8 | 72 | 11.4 | even | 5 | inner | ||
297.2.n.b.91.2 | 72 | 1.1 | even | 1 | trivial | ||
297.2.n.b.235.2 | 72 | 99.70 | even | 15 | inner | ||
297.2.n.b.289.8 | 72 | 9.7 | even | 3 | inner | ||
891.2.f.e.487.8 | 36 | 9.4 | even | 3 | |||
891.2.f.e.730.8 | 36 | 99.4 | even | 15 | |||
891.2.f.f.487.2 | 36 | 9.5 | odd | 6 | |||
891.2.f.f.730.2 | 36 | 99.59 | odd | 30 | |||
1089.2.e.o.364.15 | 36 | 33.2 | even | 10 | |||
1089.2.e.o.727.15 | 36 | 99.2 | even | 30 | |||
1089.2.e.p.364.4 | 36 | 33.20 | odd | 10 | |||
1089.2.e.p.727.4 | 36 | 99.20 | odd | 30 | |||
9801.2.a.cm.1.15 | 18 | 99.86 | odd | 30 | |||
9801.2.a.cn.1.15 | 18 | 99.13 | odd | 30 | |||
9801.2.a.co.1.4 | 18 | 99.68 | even | 30 | |||
9801.2.a.cp.1.4 | 18 | 99.31 | even | 15 |