Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [273,2,Mod(76,273)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(273, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 6, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("273.76");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 273 = 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 273.by (of order \(12\), degree \(4\), 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: | \(2.17991597518\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 97.3 | ||
Character | \(\chi\) | \(=\) | 273.97 |
Dual form | 273.2.by.c.76.3 |
$q$-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 \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(106\) | \(157\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{12}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.281068 | − | 1.04896i | −0.198745 | − | 0.741726i | −0.991266 | − | 0.131881i | \(-0.957898\pi\) |
0.792521 | − | 0.609845i | \(-0.208768\pi\) | |||||||
\(3\) | 0.866025 | + | 0.500000i | 0.500000 | + | 0.288675i | ||||
\(4\) | 0.710736 | − | 0.410344i | 0.355368 | − | 0.205172i | ||||
\(5\) | 1.02734 | + | 1.02734i | 0.459441 | + | 0.459441i | 0.898472 | − | 0.439031i | \(-0.144678\pi\) |
−0.439031 | + | 0.898472i | \(0.644678\pi\) | |||||||
\(6\) | 0.281068 | − | 1.04896i | 0.114745 | − | 0.428235i | ||||
\(7\) | −1.22381 | − | 2.34570i | −0.462557 | − | 0.886590i | ||||
\(8\) | −2.16598 | − | 2.16598i | −0.765790 | − | 0.765790i | ||||
\(9\) | 0.500000 | + | 0.866025i | 0.166667 | + | 0.288675i | ||||
\(10\) | 0.788887 | − | 1.36639i | 0.249468 | − | 0.432091i | ||||
\(11\) | 0.972198 | − | 0.260500i | 0.293129 | − | 0.0785436i | −0.109258 | − | 0.994013i | \(-0.534847\pi\) |
0.402387 | + | 0.915470i | \(0.368181\pi\) | |||||||
\(12\) | 0.820687 | 0.236912 | ||||||||
\(13\) | 3.05530 | − | 1.91446i | 0.847387 | − | 0.530975i | ||||
\(14\) | −2.11656 | + | 1.94303i | −0.565676 | + | 0.519295i | ||||
\(15\) | 0.376033 | + | 1.40338i | 0.0970914 | + | 0.362350i | ||||
\(16\) | −0.842549 | + | 1.45934i | −0.210637 | + | 0.364834i | ||||
\(17\) | 2.37035 | + | 4.10557i | 0.574895 | + | 0.995747i | 0.996053 | + | 0.0887595i | \(0.0282903\pi\) |
−0.421159 | + | 0.906987i | \(0.638376\pi\) | |||||||
\(18\) | 0.767891 | − | 0.767891i | 0.180994 | − | 0.180994i | ||||
\(19\) | −0.391878 | + | 1.46251i | −0.0899030 | + | 0.335522i | −0.996197 | − | 0.0871243i | \(-0.972232\pi\) |
0.906294 | + | 0.422647i | \(0.138899\pi\) | |||||||
\(20\) | 1.15173 | + | 0.308606i | 0.257535 | + | 0.0690064i | ||||
\(21\) | 0.112997 | − | 2.64334i | 0.0246580 | − | 0.576823i | ||||
\(22\) | −0.546507 | − | 0.946578i | −0.116516 | − | 0.201811i | ||||
\(23\) | −0.337046 | − | 0.194594i | −0.0702790 | − | 0.0405756i | 0.464449 | − | 0.885600i | \(-0.346252\pi\) |
−0.534728 | + | 0.845024i | \(0.679586\pi\) | |||||||
\(24\) | −0.792804 | − | 2.95878i | −0.161830 | − | 0.603959i | ||||
\(25\) | − | 2.88914i | − | 0.577827i | ||||||
\(26\) | −2.86693 | − | 2.66679i | −0.562252 | − | 0.523000i | ||||
\(27\) | 1.00000i | 0.192450i | ||||||||
\(28\) | −1.83235 | − | 1.16499i | −0.346281 | − | 0.220162i | ||||
\(29\) | −4.30065 | + | 7.44895i | −0.798611 | + | 1.38324i | 0.121909 | + | 0.992541i | \(0.461098\pi\) |
−0.920521 | + | 0.390694i | \(0.872235\pi\) | |||||||
\(30\) | 1.36639 | − | 0.788887i | 0.249468 | − | 0.144030i | ||||
\(31\) | −2.92542 | − | 2.92542i | −0.525420 | − | 0.525420i | 0.393783 | − | 0.919203i | \(-0.371166\pi\) |
−0.919203 | + | 0.393783i | \(0.871166\pi\) | |||||||
\(32\) | −4.14997 | − | 1.11198i | −0.733618 | − | 0.196572i | ||||
\(33\) | 0.972198 | + | 0.260500i | 0.169238 | + | 0.0453472i | ||||
\(34\) | 3.64034 | − | 3.64034i | 0.624313 | − | 0.624313i | ||||
\(35\) | 1.15256 | − | 3.66710i | 0.194818 | − | 0.619854i | ||||
\(36\) | 0.710736 | + | 0.410344i | 0.118456 | + | 0.0683906i | ||||
\(37\) | 9.77690 | − | 2.61971i | 1.60731 | − | 0.430678i | 0.660072 | − | 0.751202i | \(-0.270526\pi\) |
0.947240 | + | 0.320524i | \(0.103859\pi\) | |||||||
\(38\) | 1.64425 | 0.266733 | ||||||||
\(39\) | 3.60320 | − | 0.130321i | 0.576973 | − | 0.0208681i | ||||
\(40\) | − | 4.45041i | − | 0.703671i | ||||||
\(41\) | −8.64616 | + | 2.31673i | −1.35030 | + | 0.361813i | −0.860247 | − | 0.509878i | \(-0.829690\pi\) |
−0.490056 | + | 0.871691i | \(0.663024\pi\) | |||||||
\(42\) | −2.80451 | + | 0.624427i | −0.432745 | + | 0.0963512i | ||||
\(43\) | −8.28885 | + | 4.78557i | −1.26404 | + | 0.729792i | −0.973853 | − | 0.227179i | \(-0.927050\pi\) |
−0.290184 | + | 0.956971i | \(0.593717\pi\) | |||||||
\(44\) | 0.584082 | − | 0.584082i | 0.0880537 | − | 0.0880537i | ||||
\(45\) | −0.376033 | + | 1.40338i | −0.0560558 | + | 0.209203i | ||||
\(46\) | −0.109388 | + | 0.408241i | −0.0161284 | + | 0.0601919i | ||||
\(47\) | −4.78928 | + | 4.78928i | −0.698588 | + | 0.698588i | −0.964106 | − | 0.265518i | \(-0.914457\pi\) |
0.265518 | + | 0.964106i | \(0.414457\pi\) | |||||||
\(48\) | −1.45934 | + | 0.842549i | −0.210637 | + | 0.121611i | ||||
\(49\) | −4.00458 | + | 5.74137i | −0.572082 | + | 0.820196i | ||||
\(50\) | −3.03058 | + | 0.812042i | −0.428589 | + | 0.114840i | ||||
\(51\) | 4.74070i | 0.663831i | ||||||||
\(52\) | 1.38592 | − | 2.61440i | 0.192193 | − | 0.362552i | ||||
\(53\) | 12.7329 | 1.74900 | 0.874498 | − | 0.485029i | \(-0.161191\pi\) | ||||
0.874498 | + | 0.485029i | \(0.161191\pi\) | |||||||
\(54\) | 1.04896 | − | 0.281068i | 0.142745 | − | 0.0382484i | ||||
\(55\) | 1.26640 | + | 0.731158i | 0.170762 | + | 0.0985893i | ||||
\(56\) | −2.42998 | + | 7.73148i | −0.324720 | + | 1.03316i | ||||
\(57\) | −1.07063 | + | 1.07063i | −0.141808 | + | 0.141808i | ||||
\(58\) | 9.02241 | + | 2.41755i | 1.18470 | + | 0.317440i | ||||
\(59\) | −0.889636 | − | 0.238377i | −0.115821 | − | 0.0310341i | 0.200443 | − | 0.979705i | \(-0.435762\pi\) |
−0.316264 | + | 0.948671i | \(0.602428\pi\) | |||||||
\(60\) | 0.843127 | + | 0.843127i | 0.108847 | + | 0.108847i | ||||
\(61\) | −8.36449 | + | 4.82924i | −1.07096 | + | 0.618321i | −0.928445 | − | 0.371471i | \(-0.878854\pi\) |
−0.142519 | + | 0.989792i | \(0.545520\pi\) | |||||||
\(62\) | −2.24640 | + | 3.89088i | −0.285293 | + | 0.494142i | ||||
\(63\) | 1.41953 | − | 2.23270i | 0.178844 | − | 0.281294i | ||||
\(64\) | 8.03588i | 1.00449i | ||||||||
\(65\) | 5.10564 | + | 1.17203i | 0.633277 | + | 0.145373i | ||||
\(66\) | − | 1.09301i | − | 0.134541i | ||||||
\(67\) | 1.71328 | + | 6.39405i | 0.209311 | + | 0.781158i | 0.988092 | + | 0.153863i | \(0.0491713\pi\) |
−0.778782 | + | 0.627295i | \(0.784162\pi\) | |||||||
\(68\) | 3.36939 | + | 1.94532i | 0.408598 | + | 0.235904i | ||||
\(69\) | −0.194594 | − | 0.337046i | −0.0234263 | − | 0.0405756i | ||||
\(70\) | −4.17059 | − | 0.178284i | −0.498481 | − | 0.0213090i | ||||
\(71\) | −2.56663 | − | 0.687727i | −0.304603 | − | 0.0816182i | 0.103280 | − | 0.994652i | \(-0.467066\pi\) |
−0.407883 | + | 0.913034i | \(0.633733\pi\) | |||||||
\(72\) | 0.792804 | − | 2.95878i | 0.0934328 | − | 0.348696i | ||||
\(73\) | 2.46596 | − | 2.46596i | 0.288619 | − | 0.288619i | −0.547915 | − | 0.836534i | \(-0.684578\pi\) |
0.836534 | + | 0.547915i | \(0.184578\pi\) | |||||||
\(74\) | −5.49594 | − | 9.51925i | −0.638890 | − | 1.10659i | ||||
\(75\) | 1.44457 | − | 2.50206i | 0.166804 | − | 0.288914i | ||||
\(76\) | 0.321609 | + | 1.20026i | 0.0368911 | + | 0.137680i | ||||
\(77\) | −1.80084 | − | 1.96168i | −0.205225 | − | 0.223554i | ||||
\(78\) | −1.14944 | − | 3.74297i | −0.130149 | − | 0.423808i | ||||
\(79\) | 7.06532 | 0.794911 | 0.397455 | − | 0.917622i | \(-0.369893\pi\) | ||||
0.397455 | + | 0.917622i | \(0.369893\pi\) | |||||||
\(80\) | −2.36483 | + | 0.633653i | −0.264396 | + | 0.0708446i | ||||
\(81\) | −0.500000 | + | 0.866025i | −0.0555556 | + | 0.0962250i | ||||
\(82\) | 4.86031 | + | 8.41830i | 0.536731 | + | 0.929646i | ||||
\(83\) | −2.43414 | − | 2.43414i | −0.267181 | − | 0.267181i | 0.560782 | − | 0.827963i | \(-0.310501\pi\) |
−0.827963 | + | 0.560782i | \(0.810501\pi\) | |||||||
\(84\) | −1.00437 | − | 1.92508i | −0.109585 | − | 0.210044i | ||||
\(85\) | −1.78266 | + | 6.65299i | −0.193357 | + | 0.721618i | ||||
\(86\) | 7.34959 | + | 7.34959i | 0.792526 | + | 0.792526i | ||||
\(87\) | −7.44895 | + | 4.30065i | −0.798611 | + | 0.461078i | ||||
\(88\) | −2.67000 | − | 1.54152i | −0.284623 | − | 0.164327i | ||||
\(89\) | −2.79345 | − | 10.4253i | −0.296105 | − | 1.10508i | −0.940336 | − | 0.340248i | \(-0.889489\pi\) |
0.644231 | − | 0.764831i | \(-0.277178\pi\) | |||||||
\(90\) | 1.57777 | 0.166312 | ||||||||
\(91\) | −8.22984 | − | 4.82387i | −0.862722 | − | 0.505679i | ||||
\(92\) | −0.319401 | −0.0332999 | ||||||||
\(93\) | −1.07078 | − | 3.99619i | −0.111034 | − | 0.414386i | ||||
\(94\) | 6.36986 | + | 3.67764i | 0.657001 | + | 0.379320i | ||||
\(95\) | −1.90509 | + | 1.09990i | −0.195458 | + | 0.112848i | ||||
\(96\) | −3.03799 | − | 3.03799i | −0.310063 | − | 0.310063i | ||||
\(97\) | −3.55710 | + | 13.2753i | −0.361169 | + | 1.34790i | 0.511372 | + | 0.859359i | \(0.329137\pi\) |
−0.872541 | + | 0.488541i | \(0.837529\pi\) | |||||||
\(98\) | 7.14802 | + | 2.58692i | 0.722059 | + | 0.261318i | ||||
\(99\) | 0.711699 | + | 0.711699i | 0.0715284 | + | 0.0715284i | ||||
\(100\) | −1.18554 | − | 2.05341i | −0.118554 | − | 0.205341i | ||||
\(101\) | −1.97748 | + | 3.42510i | −0.196767 | + | 0.340810i | −0.947478 | − | 0.319820i | \(-0.896378\pi\) |
0.750711 | + | 0.660630i | \(0.229711\pi\) | |||||||
\(102\) | 4.97280 | − | 1.33246i | 0.492380 | − | 0.131933i | ||||
\(103\) | 12.7709 | 1.25835 | 0.629176 | − | 0.777263i | \(-0.283393\pi\) | ||||
0.629176 | + | 0.777263i | \(0.283393\pi\) | |||||||
\(104\) | −10.7644 | − | 2.47103i | −1.05554 | − | 0.242305i | ||||
\(105\) | 2.83170 | − | 2.59953i | 0.276346 | − | 0.253688i | ||||
\(106\) | −3.57880 | − | 13.3563i | −0.347604 | − | 1.29728i | ||||
\(107\) | 1.79997 | − | 3.11764i | 0.174010 | − | 0.301394i | −0.765808 | − | 0.643069i | \(-0.777661\pi\) |
0.939818 | + | 0.341675i | \(0.110994\pi\) | |||||||
\(108\) | 0.410344 | + | 0.710736i | 0.0394853 | + | 0.0683906i | ||||
\(109\) | −0.0623175 | + | 0.0623175i | −0.00596893 | + | 0.00596893i | −0.710085 | − | 0.704116i | \(-0.751343\pi\) |
0.704116 | + | 0.710085i | \(0.251343\pi\) | |||||||
\(110\) | 0.411010 | − | 1.53391i | 0.0391882 | − | 0.146252i | ||||
\(111\) | 9.77690 | + | 2.61971i | 0.927983 | + | 0.248652i | ||||
\(112\) | 4.45428 | + | 0.190411i | 0.420890 | + | 0.0179922i | ||||
\(113\) | −1.09268 | − | 1.89259i | −0.102791 | − | 0.178039i | 0.810042 | − | 0.586371i | \(-0.199444\pi\) |
−0.912834 | + | 0.408332i | \(0.866111\pi\) | |||||||
\(114\) | 1.42397 | + | 0.822127i | 0.133367 | + | 0.0769993i | ||||
\(115\) | −0.146347 | − | 0.546176i | −0.0136470 | − | 0.0509312i | ||||
\(116\) | 7.05898i | 0.655410i | ||||||||
\(117\) | 3.18562 | + | 1.68874i | 0.294511 | + | 0.156124i | ||||
\(118\) | 1.00019i | 0.0920751i | ||||||||
\(119\) | 6.72955 | − | 10.5846i | 0.616897 | − | 0.970285i | ||||
\(120\) | 2.22520 | − | 3.85416i | 0.203132 | − | 0.351835i | ||||
\(121\) | −8.64897 | + | 4.99349i | −0.786270 | + | 0.453953i | ||||
\(122\) | 7.41666 | + | 7.41666i | 0.671473 | + | 0.671473i | ||||
\(123\) | −8.64616 | − | 2.31673i | −0.779598 | − | 0.208893i | ||||
\(124\) | −3.27962 | − | 0.878773i | −0.294519 | − | 0.0789161i | ||||
\(125\) | 8.10484 | − | 8.10484i | 0.724919 | − | 0.724919i | ||||
\(126\) | −2.74099 | − | 0.861486i | −0.244187 | − | 0.0767472i | ||||
\(127\) | −12.3666 | − | 7.13987i | −1.09736 | − | 0.633561i | −0.161834 | − | 0.986818i | \(-0.551741\pi\) |
−0.935526 | + | 0.353257i | \(0.885074\pi\) | |||||||
\(128\) | 0.129367 | − | 0.0346639i | 0.0114346 | − | 0.00306389i | ||||
\(129\) | −9.57113 | −0.842691 | ||||||||
\(130\) | −0.205617 | − | 5.68503i | −0.0180338 | − | 0.498610i | ||||
\(131\) | − | 17.8888i | − | 1.56295i | −0.623934 | − | 0.781477i | \(-0.714467\pi\) | ||
0.623934 | − | 0.781477i | \(-0.285533\pi\) | |||||||
\(132\) | 0.797871 | − | 0.213789i | 0.0694457 | − | 0.0186079i | ||||
\(133\) | 3.91018 | − | 0.870606i | 0.339056 | − | 0.0754912i | ||||
\(134\) | 6.22555 | − | 3.59432i | 0.537805 | − | 0.310502i | ||||
\(135\) | −1.02734 | + | 1.02734i | −0.0884196 | + | 0.0884196i | ||||
\(136\) | 3.75845 | − | 14.0267i | 0.322284 | − | 1.20278i | ||||
\(137\) | −0.654988 | + | 2.44445i | −0.0559594 | + | 0.208843i | −0.988245 | − | 0.152881i | \(-0.951145\pi\) |
0.932285 | + | 0.361724i | \(0.117812\pi\) | |||||||
\(138\) | −0.298853 | + | 0.298853i | −0.0254401 | + | 0.0254401i | ||||
\(139\) | 8.86338 | − | 5.11727i | 0.751782 | − | 0.434041i | −0.0745556 | − | 0.997217i | \(-0.523754\pi\) |
0.826337 | + | 0.563176i | \(0.190421\pi\) | |||||||
\(140\) | −0.685607 | − | 3.07929i | −0.0579444 | − | 0.260247i | ||||
\(141\) | −6.54227 | + | 1.75300i | −0.550959 | + | 0.147629i | ||||
\(142\) | 2.88559i | 0.242153i | ||||||||
\(143\) | 2.47164 | − | 2.65714i | 0.206689 | − | 0.222201i | ||||
\(144\) | −1.68510 | −0.140425 | ||||||||
\(145\) | −12.0709 | + | 3.23438i | −1.00243 | + | 0.268601i | ||||
\(146\) | −3.27979 | − | 1.89359i | −0.271437 | − | 0.156714i | ||||
\(147\) | −6.33875 | + | 2.96989i | −0.522811 | + | 0.244952i | ||||
\(148\) | 5.87381 | − | 5.87381i | 0.482825 | − | 0.482825i | ||||
\(149\) | 8.14575 | + | 2.18265i | 0.667326 | + | 0.178809i | 0.576550 | − | 0.817062i | \(-0.304399\pi\) |
0.0907761 | + | 0.995871i | \(0.471065\pi\) | |||||||
\(150\) | −3.03058 | − | 0.812042i | −0.247446 | − | 0.0663030i | ||||
\(151\) | −0.453678 | − | 0.453678i | −0.0369198 | − | 0.0369198i | 0.688406 | − | 0.725326i | \(-0.258311\pi\) |
−0.725326 | + | 0.688406i | \(0.758311\pi\) | |||||||
\(152\) | 4.01656 | − | 2.31896i | 0.325786 | − | 0.188093i | ||||
\(153\) | −2.37035 | + | 4.10557i | −0.191632 | + | 0.331916i | ||||
\(154\) | −1.55156 | + | 2.44037i | −0.125028 | + | 0.196651i | ||||
\(155\) | − | 6.01081i | − | 0.482800i | ||||||
\(156\) | 2.50744 | − | 1.57117i | 0.200756 | − | 0.125794i | ||||
\(157\) | − | 8.10530i | − | 0.646874i | −0.946250 | − | 0.323437i | \(-0.895162\pi\) | ||
0.946250 | − | 0.323437i | \(-0.104838\pi\) | |||||||
\(158\) | −1.98583 | − | 7.41123i | −0.157984 | − | 0.589606i | ||||
\(159\) | 11.0270 | + | 6.36644i | 0.874498 | + | 0.504892i | ||||
\(160\) | −3.12105 | − | 5.40583i | −0.246741 | − | 0.427368i | ||||
\(161\) | −0.0439771 | + | 1.02875i | −0.00346588 | + | 0.0810771i | ||||
\(162\) | 1.04896 | + | 0.281068i | 0.0824140 | + | 0.0220828i | ||||
\(163\) | 3.55525 | − | 13.2684i | 0.278469 | − | 1.03926i | −0.675012 | − | 0.737807i | \(-0.735862\pi\) |
0.953481 | − | 0.301453i | \(-0.0974717\pi\) | |||||||
\(164\) | −5.19448 | + | 5.19448i | −0.405621 | + | 0.405621i | ||||
\(165\) | 0.731158 | + | 1.26640i | 0.0569206 | + | 0.0985893i | ||||
\(166\) | −1.86915 | + | 3.23746i | −0.145074 | + | 0.251276i | ||||
\(167\) | −5.75214 | − | 21.4673i | −0.445114 | − | 1.66119i | −0.715636 | − | 0.698473i | \(-0.753863\pi\) |
0.270523 | − | 0.962714i | \(-0.412804\pi\) | |||||||
\(168\) | −5.97016 | + | 5.48067i | −0.460608 | + | 0.422843i | ||||
\(169\) | 5.66969 | − | 11.6985i | 0.436130 | − | 0.899884i | ||||
\(170\) | 7.47975 | 0.573671 | ||||||||
\(171\) | −1.46251 | + | 0.391878i | −0.111841 | + | 0.0299677i | ||||
\(172\) | −3.92745 | + | 6.80255i | −0.299466 | + | 0.518690i | ||||
\(173\) | 6.33728 | + | 10.9765i | 0.481815 | + | 0.834527i | 0.999782 | − | 0.0208728i | \(-0.00664451\pi\) |
−0.517967 | + | 0.855400i | \(0.673311\pi\) | |||||||
\(174\) | 6.60487 | + | 6.60487i | 0.500714 | + | 0.500714i | ||||
\(175\) | −6.77703 | + | 3.53575i | −0.512295 | + | 0.267278i | ||||
\(176\) | −0.438968 | + | 1.63825i | −0.0330884 | + | 0.123488i | ||||
\(177\) | −0.651259 | − | 0.651259i | −0.0489516 | − | 0.0489516i | ||||
\(178\) | −10.1505 | + | 5.86042i | −0.760816 | + | 0.439257i | ||||
\(179\) | 9.48849 | + | 5.47818i | 0.709203 | + | 0.409459i | 0.810766 | − | 0.585370i | \(-0.199051\pi\) |
−0.101563 | + | 0.994829i | \(0.532384\pi\) | |||||||
\(180\) | 0.308606 | + | 1.15173i | 0.0230021 | + | 0.0858451i | ||||
\(181\) | 4.38394 | 0.325856 | 0.162928 | − | 0.986638i | \(-0.447906\pi\) | ||||
0.162928 | + | 0.986638i | \(0.447906\pi\) | |||||||
\(182\) | −2.74689 | + | 9.98860i | −0.203613 | + | 0.740404i | ||||
\(183\) | −9.65848 | −0.713976 | ||||||||
\(184\) | 0.308549 | + | 1.15152i | 0.0227466 | + | 0.0848913i | ||||
\(185\) | 12.7356 | + | 7.35288i | 0.936338 | + | 0.540595i | ||||
\(186\) | −3.89088 | + | 2.24640i | −0.285293 | + | 0.164714i | ||||
\(187\) | 3.37395 | + | 3.37395i | 0.246728 | + | 0.246728i | ||||
\(188\) | −1.43866 | + | 5.36916i | −0.104925 | + | 0.391586i | ||||
\(189\) | 2.34570 | − | 1.22381i | 0.170624 | − | 0.0890191i | ||||
\(190\) | 1.68921 | + | 1.68921i | 0.122548 | + | 0.122548i | ||||
\(191\) | −4.92507 | − | 8.53047i | −0.356366 | − | 0.617243i | 0.630985 | − | 0.775795i | \(-0.282651\pi\) |
−0.987351 | + | 0.158552i | \(0.949318\pi\) | |||||||
\(192\) | −4.01794 | + | 6.95928i | −0.289970 | + | 0.502243i | ||||
\(193\) | 12.2874 | − | 3.29240i | 0.884465 | − | 0.236992i | 0.212133 | − | 0.977241i | \(-0.431959\pi\) |
0.672333 | + | 0.740249i | \(0.265292\pi\) | |||||||
\(194\) | 14.9250 | 1.07155 | ||||||||
\(195\) | 3.83560 | + | 3.56783i | 0.274673 | + | 0.255498i | ||||
\(196\) | −0.490261 | + | 5.72385i | −0.0350187 | + | 0.408847i | ||||
\(197\) | −0.404048 | − | 1.50793i | −0.0287873 | − | 0.107436i | 0.950037 | − | 0.312136i | \(-0.101045\pi\) |
−0.978825 | + | 0.204701i | \(0.934378\pi\) | |||||||
\(198\) | 0.546507 | − | 0.946578i | 0.0388385 | − | 0.0672703i | ||||
\(199\) | 5.84499 | + | 10.1238i | 0.414340 | + | 0.717659i | 0.995359 | − | 0.0962317i | \(-0.0306790\pi\) |
−0.581019 | + | 0.813890i | \(0.697346\pi\) | |||||||
\(200\) | −6.25781 | + | 6.25781i | −0.442494 | + | 0.442494i | ||||
\(201\) | −1.71328 | + | 6.39405i | −0.120846 | + | 0.451002i | ||||
\(202\) | 4.14860 | + | 1.11161i | 0.291894 | + | 0.0782128i | ||||
\(203\) | 22.7362 | + | 0.971923i | 1.59577 | + | 0.0682156i | ||||
\(204\) | 1.94532 | + | 3.36939i | 0.136199 | + | 0.235904i | ||||
\(205\) | −11.2626 | − | 6.50249i | −0.786617 | − | 0.454153i | ||||
\(206\) | −3.58948 | − | 13.3961i | −0.250091 | − | 0.933351i | ||||
\(207\) | − | 0.389187i | − | 0.0270504i | ||||||
\(208\) | 0.219604 | + | 6.07174i | 0.0152268 | + | 0.420999i | ||||
\(209\) | 1.52393i | 0.105413i | ||||||||
\(210\) | −3.52269 | − | 2.23969i | −0.243089 | − | 0.154553i | ||||
\(211\) | −11.0809 | + | 19.1926i | −0.762838 | + | 1.32127i | 0.178544 | + | 0.983932i | \(0.442861\pi\) |
−0.941382 | + | 0.337343i | \(0.890472\pi\) | |||||||
\(212\) | 9.04972 | − | 5.22486i | 0.621537 | − | 0.358845i | ||||
\(213\) | −1.87891 | − | 1.87891i | −0.128740 | − | 0.128740i | ||||
\(214\) | −3.77619 | − | 1.01183i | −0.258135 | − | 0.0691670i | ||||
\(215\) | −13.4319 | − | 3.59907i | −0.916048 | − | 0.245454i | ||||
\(216\) | 2.16598 | − | 2.16598i | 0.147376 | − | 0.147376i | ||||
\(217\) | −3.28198 | + | 10.4423i | −0.222795 | + | 0.708869i | ||||
\(218\) | 0.0828838 | + | 0.0478530i | 0.00561360 | + | 0.00324101i | ||||
\(219\) | 3.36856 | − | 0.902603i | 0.227626 | − | 0.0609923i | ||||
\(220\) | 1.20010 | 0.0809110 | ||||||||
\(221\) | 15.1021 | + | 8.00580i | 1.01588 | + | 0.538528i | ||||
\(222\) | − | 10.9919i | − | 0.737727i | ||||||
\(223\) | −13.2842 | + | 3.55949i | −0.889575 | + | 0.238361i | −0.674534 | − | 0.738244i | \(-0.735655\pi\) |
−0.215041 | + | 0.976605i | \(0.568989\pi\) | |||||||
\(224\) | 2.47041 | + | 11.0954i | 0.165061 | + | 0.741344i | ||||
\(225\) | 2.50206 | − | 1.44457i | 0.166804 | − | 0.0963045i | ||||
\(226\) | −1.67813 | + | 1.67813i | −0.111627 | + | 0.111627i | ||||
\(227\) | −1.04021 | + | 3.88213i | −0.0690413 | + | 0.257666i | −0.991816 | − | 0.127674i | \(-0.959249\pi\) |
0.922775 | + | 0.385339i | \(0.125916\pi\) | |||||||
\(228\) | −0.321609 | + | 1.20026i | −0.0212991 | + | 0.0794893i | ||||
\(229\) | 1.36272 | − | 1.36272i | 0.0900509 | − | 0.0900509i | −0.660646 | − | 0.750697i | \(-0.729718\pi\) |
0.750697 | + | 0.660646i | \(0.229718\pi\) | |||||||
\(230\) | −0.531783 | + | 0.307025i | −0.0350647 | + | 0.0202446i | ||||
\(231\) | −0.578733 | − | 2.59928i | −0.0380778 | − | 0.171020i | ||||
\(232\) | 25.4494 | − | 6.81915i | 1.67084 | − | 0.447699i | ||||
\(233\) | 1.13013i | 0.0740376i | 0.999315 | + | 0.0370188i | \(0.0117861\pi\) | ||||
−0.999315 | + | 0.0370188i | \(0.988214\pi\) | |||||||
\(234\) | 0.876040 | − | 3.81623i | 0.0572685 | − | 0.249475i | ||||
\(235\) | −9.84046 | −0.641921 | ||||||||
\(236\) | −0.730113 | + | 0.195633i | −0.0475263 | + | 0.0127346i | ||||
\(237\) | 6.11875 | + | 3.53266i | 0.397455 | + | 0.229471i | ||||
\(238\) | −12.9942 | − | 4.08405i | −0.842290 | − | 0.264729i | ||||
\(239\) | 3.62833 | − | 3.62833i | 0.234697 | − | 0.234697i | −0.579953 | − | 0.814650i | \(-0.696929\pi\) |
0.814650 | + | 0.579953i | \(0.196929\pi\) | |||||||
\(240\) | −2.36483 | − | 0.633653i | −0.152649 | − | 0.0409021i | ||||
\(241\) | −9.46780 | − | 2.53689i | −0.609875 | − | 0.163415i | −0.0593540 | − | 0.998237i | \(-0.518904\pi\) |
−0.550521 | + | 0.834822i | \(0.685571\pi\) | |||||||
\(242\) | 7.66890 | + | 7.66890i | 0.492976 | + | 0.492976i | ||||
\(243\) | −0.866025 | + | 0.500000i | −0.0555556 | + | 0.0320750i | ||||
\(244\) | −3.96330 | + | 6.86463i | −0.253724 | + | 0.439463i | ||||
\(245\) | −10.0124 | + | 1.78428i | −0.639671 | + | 0.113994i | ||||
\(246\) | 9.72062i | 0.619764i | ||||||||
\(247\) | 1.60261 | + | 5.21863i | 0.101972 | + | 0.332054i | ||||
\(248\) | 12.6728i | 0.804723i | ||||||||
\(249\) | −0.890956 | − | 3.32509i | −0.0564620 | − | 0.210719i | ||||
\(250\) | −10.7797 | − | 6.22363i | −0.681765 | − | 0.393617i | ||||
\(251\) | −14.1820 | − | 24.5639i | −0.895158 | − | 1.55046i | −0.833610 | − | 0.552354i | \(-0.813730\pi\) |
−0.0615480 | − | 0.998104i | \(-0.519604\pi\) | |||||||
\(252\) | 0.0927353 | − | 2.16935i | 0.00584178 | − | 0.136656i | ||||
\(253\) | −0.378367 | − | 0.101383i | −0.0237878 | − | 0.00637391i | ||||
\(254\) | −4.01357 | + | 14.9789i | −0.251834 | + | 0.939857i | ||||
\(255\) | −4.87032 | + | 4.87032i | −0.304992 | + | 0.304992i | ||||
\(256\) | 7.96316 | + | 13.7926i | 0.497698 | + | 0.862037i | ||||
\(257\) | −3.32083 | + | 5.75185i | −0.207148 | + | 0.358790i | −0.950815 | − | 0.309760i | \(-0.899751\pi\) |
0.743667 | + | 0.668550i | \(0.233085\pi\) | |||||||
\(258\) | 2.69014 | + | 10.0397i | 0.167481 | + | 0.625046i | ||||
\(259\) | −18.1101 | − | 19.7276i | −1.12531 | − | 1.22581i | ||||
\(260\) | 4.10970 | − | 1.26206i | 0.254873 | − | 0.0782698i | ||||
\(261\) | −8.60131 | −0.532408 | ||||||||
\(262\) | −18.7646 | + | 5.02797i | −1.15928 | + | 0.310629i | ||||
\(263\) | −6.24723 | + | 10.8205i | −0.385221 | + | 0.667222i | −0.991800 | − | 0.127801i | \(-0.959208\pi\) |
0.606579 | + | 0.795023i | \(0.292541\pi\) | |||||||
\(264\) | −1.54152 | − | 2.67000i | −0.0948743 | − | 0.164327i | ||||
\(265\) | 13.0810 | + | 13.0810i | 0.803561 | + | 0.803561i | ||||
\(266\) | −2.01226 | − | 3.85692i | −0.123379 | − | 0.236483i | ||||
\(267\) | 2.79345 | − | 10.4253i | 0.170956 | − | 0.638017i | ||||
\(268\) | 3.84145 | + | 3.84145i | 0.234654 | + | 0.234654i | ||||
\(269\) | 7.27737 | − | 4.20159i | 0.443709 | − | 0.256176i | −0.261460 | − | 0.965214i | \(-0.584204\pi\) |
0.705170 | + | 0.709038i | \(0.250871\pi\) | |||||||
\(270\) | 1.36639 | + | 0.788887i | 0.0831560 | + | 0.0480101i | ||||
\(271\) | 0.0939748 | + | 0.350719i | 0.00570857 | + | 0.0213047i | 0.968721 | − | 0.248151i | \(-0.0798229\pi\) |
−0.963013 | + | 0.269456i | \(0.913156\pi\) | |||||||
\(272\) | −7.98855 | −0.484377 | ||||||||
\(273\) | −4.71532 | − | 8.29251i | −0.285384 | − | 0.501886i | ||||
\(274\) | 2.74822 | 0.166026 | ||||||||
\(275\) | −0.752619 | − | 2.80881i | −0.0453846 | − | 0.169378i | ||||
\(276\) | −0.276610 | − | 0.159701i | −0.0166499 | − | 0.00961285i | ||||
\(277\) | 13.5251 | − | 7.80875i | 0.812647 | − | 0.469182i | −0.0352270 | − | 0.999379i | \(-0.511215\pi\) |
0.847874 | + | 0.530197i | \(0.177882\pi\) | |||||||
\(278\) | −7.85901 | − | 7.85901i | −0.471352 | − | 0.471352i | ||||
\(279\) | 1.07078 | − | 3.99619i | 0.0641057 | − | 0.239246i | ||||
\(280\) | −10.4393 | + | 5.44645i | −0.623867 | + | 0.325488i | ||||
\(281\) | −0.848694 | − | 0.848694i | −0.0506289 | − | 0.0506289i | 0.681339 | − | 0.731968i | \(-0.261398\pi\) |
−0.731968 | + | 0.681339i | \(0.761398\pi\) | |||||||
\(282\) | 3.67764 | + | 6.36986i | 0.219000 | + | 0.379320i | ||||
\(283\) | 11.9723 | − | 20.7366i | 0.711678 | − | 1.23266i | −0.252549 | − | 0.967584i | \(-0.581269\pi\) |
0.964227 | − | 0.265078i | \(-0.0853976\pi\) | |||||||
\(284\) | −2.10640 | + | 0.564409i | −0.124992 | + | 0.0334915i | ||||
\(285\) | −2.19981 | −0.130305 | ||||||||
\(286\) | −3.48193 | − | 1.84581i | −0.205891 | − | 0.109145i | ||||
\(287\) | 16.0156 | + | 17.4460i | 0.945371 | + | 1.02981i | ||||
\(288\) | −1.11198 | − | 4.14997i | −0.0655241 | − | 0.244539i | ||||
\(289\) | −2.73713 | + | 4.74084i | −0.161007 | + | 0.278873i | ||||
\(290\) | 6.78546 | + | 11.7528i | 0.398456 | + | 0.690146i | ||||
\(291\) | −9.71818 | + | 9.71818i | −0.569690 | + | 0.569690i | ||||
\(292\) | 0.740755 | − | 2.76454i | 0.0433494 | − | 0.161782i | ||||
\(293\) | −18.6502 | − | 4.99730i | −1.08956 | − | 0.291946i | −0.331051 | − | 0.943613i | \(-0.607403\pi\) |
−0.758505 | + | 0.651667i | \(0.774070\pi\) | |||||||
\(294\) | 4.89690 | + | 5.81435i | 0.285593 | + | 0.339100i | ||||
\(295\) | −0.669066 | − | 1.15886i | −0.0389545 | − | 0.0674712i | ||||
\(296\) | −26.8508 | − | 15.5023i | −1.56067 | − | 0.901055i | ||||
\(297\) | 0.260500 | + | 0.972198i | 0.0151157 | + | 0.0564127i | ||||
\(298\) | − | 9.15803i | − | 0.530510i | ||||||
\(299\) | −1.40232 | + | 0.0507193i | −0.0810982 | + | 0.00293317i | ||||
\(300\) | − | 2.37108i | − | 0.136894i | ||||||
\(301\) | 21.3695 | + | 13.5865i | 1.23172 | + | 0.783112i | ||||
\(302\) | −0.348375 | + | 0.603403i | −0.0200467 | + | 0.0347220i | ||||
\(303\) | −3.42510 | + | 1.97748i | −0.196767 | + | 0.113603i | ||||
\(304\) | −1.80412 | − | 1.80412i | −0.103473 | − | 0.103473i | ||||
\(305\) | −13.5545 | − | 3.63191i | −0.776127 | − | 0.207963i | ||||
\(306\) | 4.97280 | + | 1.33246i | 0.284276 | + | 0.0761715i | ||||
\(307\) | 17.1942 | − | 17.1942i | 0.981322 | − | 0.981322i | −0.0185063 | − | 0.999829i | \(-0.505891\pi\) |
0.999829 | + | 0.0185063i | \(0.00589106\pi\) | |||||||
\(308\) | −2.08488 | − | 0.655273i | −0.118797 | − | 0.0373377i | ||||
\(309\) | 11.0599 | + | 6.38543i | 0.629176 | + | 0.363255i | ||||
\(310\) | −6.30509 | + | 1.68944i | −0.358105 | + | 0.0959539i | ||||
\(311\) | 14.0638 | 0.797487 | 0.398744 | − | 0.917062i | \(-0.369446\pi\) | ||||
0.398744 | + | 0.917062i | \(0.369446\pi\) | |||||||
\(312\) | −8.08672 | − | 7.52218i | −0.457820 | − | 0.425859i | ||||
\(313\) | − | 18.8063i | − | 1.06300i | −0.847060 | − | 0.531498i | \(-0.821629\pi\) | ||
0.847060 | − | 0.531498i | \(-0.178371\pi\) | |||||||
\(314\) | −8.50213 | + | 2.27814i | −0.479803 | + | 0.128563i | ||||
\(315\) | 3.75209 | − | 0.835406i | 0.211406 | − | 0.0470698i | ||||
\(316\) | 5.02158 | − | 2.89921i | 0.282486 | − | 0.163093i | ||||
\(317\) | −1.67207 | + | 1.67207i | −0.0939128 | + | 0.0939128i | −0.752502 | − | 0.658590i | \(-0.771153\pi\) |
0.658590 | + | 0.752502i | \(0.271153\pi\) | |||||||
\(318\) | 3.57880 | − | 13.3563i | 0.200689 | − | 0.748982i | ||||
\(319\) | −2.24064 | + | 8.36218i | −0.125452 | + | 0.468192i | ||||
\(320\) | −8.25560 | + | 8.25560i | −0.461502 | + | 0.461502i | ||||
\(321\) | 3.11764 | − | 1.79997i | 0.174010 | − | 0.100465i | ||||
\(322\) | 1.09148 | − | 0.243019i | 0.0608258 | − | 0.0135429i | ||||
\(323\) | −6.93332 | + | 1.85778i | −0.385780 | + | 0.103369i | ||||
\(324\) | 0.820687i | 0.0455937i | ||||||||
\(325\) | −5.53113 | − | 8.82717i | −0.306812 | − | 0.489643i | ||||
\(326\) | −14.9172 | −0.826190 | ||||||||
\(327\) | −0.0851272 | + | 0.0228098i | −0.00470755 | + | 0.00126138i | ||||
\(328\) | 23.7454 | + | 13.7094i | 1.31112 | + | 0.756976i | ||||
\(329\) | 17.0954 | + | 5.37302i | 0.942497 | + | 0.296224i | ||||
\(330\) | 1.12290 | − | 1.12290i | 0.0618136 | − | 0.0618136i | ||||
\(331\) | −33.2290 | − | 8.90368i | −1.82643 | − | 0.489391i | −0.828886 | − | 0.559418i | \(-0.811025\pi\) |
−0.997545 | + | 0.0700274i | \(0.977691\pi\) | |||||||
\(332\) | −2.72886 | − | 0.731196i | −0.149766 | − | 0.0401296i | ||||
\(333\) | 7.15719 | + | 7.15719i | 0.392212 | + | 0.392212i | ||||
\(334\) | −20.9015 | + | 12.0675i | −1.14368 | + | 0.660304i | ||||
\(335\) | −4.80875 | + | 8.32901i | −0.262730 | + | 0.455062i | ||||
\(336\) | 3.76232 | + | 2.39204i | 0.205251 | + | 0.130497i | ||||
\(337\) | − | 3.43766i | − | 0.187261i | −0.995607 | − | 0.0936305i | \(-0.970153\pi\) | ||
0.995607 | − | 0.0936305i | \(-0.0298472\pi\) | |||||||
\(338\) | −13.8648 | − | 2.65921i | −0.754145 | − | 0.144642i | ||||
\(339\) | − | 2.18537i | − | 0.118693i | ||||||
\(340\) | 1.46301 | + | 5.46002i | 0.0793428 | + | 0.296111i | ||||
\(341\) | −3.60616 | − | 2.08201i | −0.195284 | − | 0.112747i | ||||
\(342\) | 0.822127 | + | 1.42397i | 0.0444556 | + | 0.0769993i | ||||
\(343\) | 18.3684 | + | 2.36717i | 0.991798 | + | 0.127815i | ||||
\(344\) | 28.3189 | + | 7.58803i | 1.52685 | + | 0.409119i | ||||
\(345\) | 0.146347 | − | 0.546176i | 0.00787908 | − | 0.0294051i | ||||
\(346\) | 9.73268 | − | 9.73268i | 0.523232 | − | 0.523232i | ||||
\(347\) | −9.46705 | − | 16.3974i | −0.508218 | − | 0.880259i | −0.999955 | − | 0.00951518i | \(-0.996971\pi\) |
0.491737 | − | 0.870744i | \(-0.336362\pi\) | |||||||
\(348\) | −3.52949 | + | 6.11326i | −0.189201 | + | 0.327705i | ||||
\(349\) | 8.44404 | + | 31.5136i | 0.451999 | + | 1.68688i | 0.696764 | + | 0.717300i | \(0.254623\pi\) |
−0.244765 | + | 0.969582i | \(0.578711\pi\) | |||||||
\(350\) | 5.61366 | + | 6.11504i | 0.300063 | + | 0.326863i | ||||
\(351\) | 1.91446 | + | 3.05530i | 0.102186 | + | 0.163080i | ||||
\(352\) | −4.32426 | −0.230484 | ||||||||
\(353\) | 31.7685 | − | 8.51233i | 1.69086 | − | 0.453066i | 0.720251 | − | 0.693713i | \(-0.244026\pi\) |
0.970613 | + | 0.240647i | \(0.0773597\pi\) | |||||||
\(354\) | −0.500096 | + | 0.866191i | −0.0265798 | + | 0.0460375i | ||||
\(355\) | −1.93028 | − | 3.34334i | −0.102449 | − | 0.177446i | ||||
\(356\) | −6.26336 | − | 6.26336i | −0.331957 | − | 0.331957i | ||||
\(357\) | 11.1202 | − | 5.80172i | 0.588546 | − | 0.307060i | ||||
\(358\) | 3.07948 | − | 11.4928i | 0.162756 | − | 0.607412i | ||||
\(359\) | −1.45164 | − | 1.45164i | −0.0766146 | − | 0.0766146i | 0.667761 | − | 0.744376i | \(-0.267253\pi\) |
−0.744376 | + | 0.667761i | \(0.767253\pi\) | |||||||
\(360\) | 3.85416 | − | 2.22520i | 0.203132 | − | 0.117278i | ||||
\(361\) | 14.4691 | + | 8.35375i | 0.761533 | + | 0.439671i | ||||
\(362\) | −1.23218 | − | 4.59857i | −0.0647622 | − | 0.241696i | ||||
\(363\) | −9.98697 | −0.524180 | ||||||||
\(364\) | −7.82869 | − | 0.0514311i | −0.410335 | − | 0.00269572i | ||||
\(365\) | 5.06677 | 0.265207 | ||||||||
\(366\) | 2.71469 | + | 10.1313i | 0.141899 | + | 0.529574i | ||||
\(367\) | 0.400843 | + | 0.231427i | 0.0209238 | + | 0.0120804i | 0.510425 | − | 0.859922i | \(-0.329488\pi\) |
−0.489502 | + | 0.872002i | \(0.662821\pi\) | |||||||
\(368\) | 0.567956 | − | 0.327909i | 0.0296067 | − | 0.0170935i | ||||
\(369\) | −6.32943 | − | 6.32943i | −0.329497 | − | 0.329497i | ||||
\(370\) | 4.13331 | − | 15.4257i | 0.214881 | − | 0.801946i | ||||
\(371\) | −15.5826 | − | 29.8675i | −0.809010 | − | 1.55064i | ||||
\(372\) | −2.40085 | − | 2.40085i | −0.124478 | − | 0.124478i | ||||
\(373\) | 5.17460 | + | 8.96266i | 0.267930 | + | 0.464069i | 0.968327 | − | 0.249685i | \(-0.0803269\pi\) |
−0.700397 | + | 0.713754i | \(0.746994\pi\) | |||||||
\(374\) | 2.59083 | − | 4.48744i | 0.133968 | − | 0.232040i | ||||
\(375\) | 11.0714 | − | 2.96658i | 0.571726 | − | 0.153193i | ||||
\(376\) | 20.7470 | 1.06994 | ||||||||
\(377\) | 1.12093 | + | 30.9922i | 0.0577309 | + | 1.59618i | ||||
\(378\) | −1.94303 | − | 2.11656i | −0.0999384 | − | 0.108864i | ||||
\(379\) | 3.99214 | + | 14.8989i | 0.205062 | + | 0.765303i | 0.989431 | + | 0.145007i | \(0.0463206\pi\) |
−0.784368 | + | 0.620295i | \(0.787013\pi\) | |||||||
\(380\) | −0.902677 | + | 1.56348i | −0.0463064 | + | 0.0802050i | ||||
\(381\) | −7.13987 | − | 12.3666i | −0.365787 | − | 0.633561i | ||||
\(382\) | −7.56383 | + | 7.56383i | −0.386999 | + | 0.386999i | ||||
\(383\) | −8.40301 | + | 31.3605i | −0.429374 | + | 1.60245i | 0.324808 | + | 0.945780i | \(0.394700\pi\) |
−0.754182 | + | 0.656665i | \(0.771966\pi\) | |||||||
\(384\) | 0.129367 | + | 0.0346639i | 0.00660176 | + | 0.00176894i | ||||
\(385\) | 0.165238 | − | 3.86539i | 0.00842128 | − | 0.196999i | ||||
\(386\) | −6.90717 | − | 11.9636i | −0.351566 | − | 0.608930i | ||||
\(387\) | −8.28885 | − | 4.78557i | −0.421346 | − | 0.243264i | ||||
\(388\) | 2.91927 | + | 10.8948i | 0.148203 | + | 0.553102i | ||||
\(389\) | − | 37.3829i | − | 1.89539i | −0.319179 | − | 0.947694i | \(-0.603407\pi\) | ||
0.319179 | − | 0.947694i | \(-0.396593\pi\) | |||||||
\(390\) | 2.66444 | − | 5.02619i | 0.134919 | − | 0.254511i | ||||
\(391\) | − | 1.84502i | − | 0.0933068i | ||||||
\(392\) | 21.1095 | − | 3.76186i | 1.06619 | − | 0.190003i | ||||
\(393\) | 8.94441 | − | 15.4922i | 0.451186 | − | 0.781477i | ||||
\(394\) | −1.46819 | + | 0.847660i | −0.0739664 | + | 0.0427045i | ||||
\(395\) | 7.25850 | + | 7.25850i | 0.365215 | + | 0.365215i | ||||
\(396\) | 0.797871 | + | 0.213789i | 0.0400945 | + | 0.0107433i | ||||
\(397\) | 34.9889 | + | 9.37524i | 1.75604 | + | 0.470530i | 0.985899 | − | 0.167343i | \(-0.0535187\pi\) |
0.770142 | + | 0.637873i | \(0.220185\pi\) | |||||||
\(398\) | 8.97663 | − | 8.97663i | 0.449958 | − | 0.449958i | ||||
\(399\) | 3.82162 | + | 1.20112i | 0.191320 | + | 0.0601315i | ||||
\(400\) | 4.21622 | + | 2.43424i | 0.210811 | + | 0.121712i | ||||
\(401\) | −33.6403 | + | 9.01390i | −1.67992 | + | 0.450133i | −0.967758 | − | 0.251883i | \(-0.918950\pi\) |
−0.712161 | + | 0.702016i | \(0.752284\pi\) | |||||||
\(402\) | 7.18864 | 0.358537 | ||||||||
\(403\) | −14.5386 | − | 3.33743i | −0.724220 | − | 0.166249i | ||||
\(404\) | 3.24579i | 0.161484i | ||||||||
\(405\) | −1.40338 | + | 0.376033i | −0.0697343 | + | 0.0186853i | ||||
\(406\) | −5.37089 | − | 24.1225i | −0.266553 | − | 1.19718i | ||||
\(407\) | 8.82265 | − | 5.09376i | 0.437323 | − | 0.252488i | ||||
\(408\) | 10.2683 | − | 10.2683i | 0.508355 | − | 0.508355i | ||||
\(409\) | −2.97572 | + | 11.1055i | −0.147140 | + | 0.549134i | 0.852511 | + | 0.522709i | \(0.175079\pi\) |
−0.999651 | + | 0.0264241i | \(0.991588\pi\) | |||||||
\(410\) | −3.65528 | + | 13.6417i | −0.180521 | + | 0.673715i | ||||
\(411\) | −1.78946 | + | 1.78946i | −0.0882676 | + | 0.0882676i | ||||
\(412\) | 9.07672 | − | 5.24044i | 0.447178 | − | 0.258178i | ||||
\(413\) | 0.529585 | + | 2.37854i | 0.0260592 | + | 0.117040i | ||||
\(414\) | −0.408241 | + | 0.109388i | −0.0200640 | + | 0.00537613i | ||||
\(415\) | − | 5.00138i | − | 0.245508i | ||||||
\(416\) | −14.8082 | + | 4.54751i | −0.726034 | + | 0.222960i | ||||
\(417\) | 10.2345 | 0.501188 | ||||||||
\(418\) | 1.59854 | − | 0.428328i | 0.0781872 | − | 0.0209502i | ||||
\(419\) | −25.3323 | − | 14.6256i | −1.23756 | − | 0.714507i | −0.268967 | − | 0.963149i | \(-0.586682\pi\) |
−0.968595 | + | 0.248642i | \(0.920016\pi\) | |||||||
\(420\) | 0.945892 | − | 3.00955i | 0.0461548 | − | 0.146851i | ||||
\(421\) | −8.84750 | + | 8.84750i | −0.431201 | + | 0.431201i | −0.889037 | − | 0.457836i | \(-0.848625\pi\) |
0.457836 | + | 0.889037i | \(0.348625\pi\) | |||||||
\(422\) | 23.2467 | + | 6.22894i | 1.13163 | + | 0.303220i | ||||
\(423\) | −6.54227 | − | 1.75300i | −0.318096 | − | 0.0852336i | ||||
\(424\) | −27.5792 | − | 27.5792i | −1.33936 | − | 1.33936i | ||||
\(425\) | 11.8615 | − | 6.84826i | 0.575369 | − | 0.332190i | ||||
\(426\) | −1.44279 | + | 2.49899i | −0.0699036 | + | 0.121077i | ||||
\(427\) | 21.5645 | + | 13.7105i | 1.04358 | + | 0.663497i | ||||
\(428\) | − | 2.95443i | − | 0.142808i | ||||||
\(429\) | 3.46907 | − | 1.06533i | 0.167488 | − | 0.0514346i | ||||
\(430\) | 15.1011i | 0.728239i | ||||||||
\(431\) | −3.91058 | − | 14.5945i | −0.188366 | − | 0.702992i | −0.993885 | − | 0.110422i | \(-0.964780\pi\) |
0.805519 | − | 0.592570i | \(-0.201887\pi\) | |||||||
\(432\) | −1.45934 | − | 0.842549i | −0.0702124 | − | 0.0405372i | ||||
\(433\) | −16.6099 | − | 28.7692i | −0.798222 | − | 1.38256i | −0.920773 | − | 0.390100i | \(-0.872441\pi\) |
0.122550 | − | 0.992462i | \(-0.460893\pi\) | |||||||
\(434\) | 11.8760 | + | 0.507674i | 0.570066 | + | 0.0243691i | ||||
\(435\) | −12.0709 | − | 3.23438i | −0.578754 | − | 0.155077i | ||||
\(436\) | −0.0187197 | + | 0.0698628i | −0.000896511 | + | 0.00334582i | ||||
\(437\) | 0.416676 | − | 0.416676i | 0.0199323 | − | 0.0199323i | ||||
\(438\) | −1.89359 | − | 3.27979i | −0.0904791 | − | 0.156714i | ||||
\(439\) | 3.12262 | − | 5.40854i | 0.149035 | − | 0.258135i | −0.781836 | − | 0.623484i | \(-0.785717\pi\) |
0.930871 | + | 0.365348i | \(0.119050\pi\) | |||||||
\(440\) | −1.15933 | − | 4.32668i | −0.0552689 | − | 0.206266i | ||||
\(441\) | −6.97446 | − | 0.597379i | −0.332117 | − | 0.0284466i | ||||
\(442\) | 4.15304 | − | 18.0916i | 0.197540 | − | 0.860530i | ||||
\(443\) | −17.0915 | −0.812043 | −0.406022 | − | 0.913863i | \(-0.633084\pi\) | ||||
−0.406022 | + | 0.913863i | \(0.633084\pi\) | |||||||
\(444\) | 8.02378 | − | 2.14997i | 0.380792 | − | 0.102033i | ||||
\(445\) | 7.84051 | − | 13.5802i | 0.371676 | − | 0.643762i | ||||
\(446\) | 7.46751 | + | 12.9341i | 0.353597 | + | 0.612448i | ||||
\(447\) | 5.96311 | + | 5.96311i | 0.282045 | + | 0.282045i | ||||
\(448\) | 18.8497 | − | 9.83440i | 0.890566 | − | 0.464632i | ||||
\(449\) | −9.60577 | + | 35.8492i | −0.453324 | + | 1.69183i | 0.239644 | + | 0.970861i | \(0.422969\pi\) |
−0.692968 | + | 0.720968i | \(0.743697\pi\) | |||||||
\(450\) | −2.21854 | − | 2.21854i | −0.104583 | − | 0.104583i | ||||
\(451\) | −7.80227 | + | 4.50464i | −0.367395 | + | 0.212115i | ||||
\(452\) | −1.55322 | − | 0.896753i | −0.0730574 | − | 0.0421797i | ||||
\(453\) | −0.166058 | − | 0.619735i | −0.00780207 | − | 0.0291177i | ||||
\(454\) | 4.36456 | 0.204839 | ||||||||
\(455\) | −3.49911 | − | 13.4106i | −0.164041 | − | 0.628700i | ||||
\(456\) | 4.63793 | 0.217191 | ||||||||
\(457\) | 2.07001 | + | 7.72540i | 0.0968312 | + | 0.361379i | 0.997291 | − | 0.0735609i | \(-0.0234363\pi\) |
−0.900460 | + | 0.434940i | \(0.856770\pi\) | |||||||
\(458\) | −1.81245 | − | 1.04642i | −0.0846902 | − | 0.0488959i | ||||
\(459\) | −4.10557 | + | 2.37035i | −0.191632 | + | 0.110639i | ||||
\(460\) | −0.328134 | − | 0.328134i | −0.0152993 | − | 0.0152993i | ||||
\(461\) | −2.87961 | + | 10.7469i | −0.134117 | + | 0.500531i | 0.865883 | + | 0.500247i | \(0.166757\pi\) |
−1.00000 | 0.000284720i | \(0.999909\pi\) | ||||||||
\(462\) | −2.56388 | + | 1.33764i | −0.119282 | + | 0.0622327i | ||||
\(463\) | 24.2312 | + | 24.2312i | 1.12612 | + | 1.12612i | 0.990803 | + | 0.135316i | \(0.0432049\pi\) |
0.135316 | + | 0.990803i | \(0.456795\pi\) | |||||||
\(464\) | −7.24702 | − | 12.5522i | −0.336435 | − | 0.582722i | ||||
\(465\) | 3.00540 | − | 5.20551i | 0.139372 | − | 0.241400i | ||||
\(466\) | 1.18546 | − | 0.317644i | 0.0549156 | − | 0.0147146i | ||||
\(467\) | −10.5574 | −0.488538 | −0.244269 | − | 0.969707i | \(-0.578548\pi\) | ||||
−0.244269 | + | 0.969707i | \(0.578548\pi\) | |||||||
\(468\) | 2.95710 | − | 0.106953i | 0.136692 | − | 0.00494389i | ||||
\(469\) | 12.9018 | − | 11.8439i | 0.595748 | − | 0.546902i | ||||
\(470\) | 2.76583 | + | 10.3222i | 0.127578 | + | 0.476129i | ||||
\(471\) | 4.05265 | − | 7.01940i | 0.186736 | − | 0.323437i | ||||
\(472\) | 1.41061 | + | 2.44325i | 0.0649287 | + | 0.112460i | ||||
\(473\) | −6.81176 | + | 6.81176i | −0.313205 | + | 0.313205i | ||||
\(474\) | 1.98583 | − | 7.41123i | 0.0912123 | − | 0.340409i | ||||
\(475\) | 4.22539 | + | 1.13219i | 0.193874 | + | 0.0519484i | ||||
\(476\) | 0.439630 | − | 10.2843i | 0.0201504 | − | 0.471378i | ||||
\(477\) | 6.36644 | + | 11.0270i | 0.291499 | + | 0.504892i | ||||
\(478\) | −4.82578 | − | 2.78616i | −0.220726 | − | 0.127436i | ||||
\(479\) | −2.28082 | − | 8.51215i | −0.104214 | − | 0.388930i | 0.894041 | − | 0.447985i | \(-0.147858\pi\) |
−0.998255 | + | 0.0590545i | \(0.981191\pi\) | |||||||
\(480\) | − | 6.24211i | − | 0.284912i | ||||||
\(481\) | 24.8560 | − | 26.7215i | 1.13334 | − | 1.21839i | ||||
\(482\) | 10.6444i | 0.484838i | ||||||||
\(483\) | −0.552462 | + | 0.868938i | −0.0251379 | + | 0.0395381i | ||||
\(484\) | −4.09809 | + | 7.09810i | −0.186277 | + | 0.322641i | ||||
\(485\) | −17.2926 | + | 9.98389i | −0.785217 | + | 0.453345i | ||||
\(486\) | 0.767891 | + | 0.767891i | 0.0348322 | + | 0.0348322i | ||||
\(487\) | 19.8298 | + | 5.31338i | 0.898574 | + | 0.240772i | 0.678404 | − | 0.734689i | \(-0.262672\pi\) |
0.220170 | + | 0.975461i | \(0.429339\pi\) | |||||||
\(488\) | 28.5774 | + | 7.65728i | 1.29364 | + | 0.346629i | ||||
\(489\) | 9.71313 | − | 9.71313i | 0.439243 | − | 0.439243i | ||||
\(490\) | 4.68581 | + | 10.0011i | 0.211683 | + | 0.451804i | ||||
\(491\) | −2.72329 | − | 1.57229i | −0.122900 | − | 0.0709565i | 0.437290 | − | 0.899321i | \(-0.355938\pi\) |
−0.560190 | + | 0.828364i | \(0.689272\pi\) | |||||||
\(492\) | −7.09579 | + | 1.90131i | −0.319903 | + | 0.0857177i | ||||
\(493\) | −40.7762 | −1.83647 | ||||||||
\(494\) | 5.02369 | − | 3.14786i | 0.226026 | − | 0.141629i | ||||
\(495\) | 1.46232i | 0.0657262i | ||||||||
\(496\) | 6.73398 | − | 1.80436i | 0.302364 | − | 0.0810183i | ||||
\(497\) | 1.52787 | + | 6.86219i | 0.0685345 | + | 0.307811i | ||||
\(498\) | −3.23746 | + | 1.86915i | −0.145074 | + | 0.0837587i | ||||
\(499\) | −10.7019 | + | 10.7019i | −0.479082 | + | 0.479082i | −0.904838 | − | 0.425756i | \(-0.860008\pi\) |
0.425756 | + | 0.904838i | \(0.360008\pi\) | |||||||
\(500\) | 2.43463 | − | 9.08617i | 0.108880 | − | 0.406346i | ||||
\(501\) | 5.75214 | − | 21.4673i | 0.256986 | − | 0.959087i | ||||
\(502\) | −21.7804 | + | 21.7804i | −0.972107 | + | 0.972107i | ||||
\(503\) | 22.4889 | − | 12.9840i | 1.00273 | − | 0.578926i | 0.0936745 | − | 0.995603i | \(-0.470139\pi\) |
0.909055 | + | 0.416677i | \(0.136805\pi\) | |||||||
\(504\) | −7.91065 | + | 1.76131i | −0.352368 | + | 0.0784551i | ||||
\(505\) | −5.55031 | + | 1.48720i | −0.246985 | + | 0.0661795i | ||||
\(506\) | 0.425387i | 0.0189108i | ||||||||
\(507\) | 10.7593 | − | 7.29634i | 0.477839 | − | 0.324042i | ||||
\(508\) | −11.7192 | −0.519955 | ||||||||
\(509\) | −31.8249 | + | 8.52745i | −1.41061 | + | 0.377973i | −0.882144 | − | 0.470980i | \(-0.843900\pi\) |
−0.528469 | + | 0.848952i | \(0.677234\pi\) | |||||||
\(510\) | 6.47766 | + | 3.73988i | 0.286835 | + | 0.165605i | ||||
\(511\) | −8.80225 | − | 2.76652i | −0.389389 | − | 0.122384i | ||||
\(512\) | 12.4191 | − | 12.4191i | 0.548851 | − | 0.548851i | ||||
\(513\) | −1.46251 | − | 0.391878i | −0.0645713 | − | 0.0173018i | ||||
\(514\) | 6.96683 | + | 1.86676i | 0.307294 | + | 0.0823391i | ||||
\(515\) | 13.1201 | + | 13.1201i | 0.578139 | + | 0.578139i | ||||
\(516\) | −6.80255 | + | 3.92745i | −0.299466 | + | 0.172897i | ||||
\(517\) | −3.40852 | + | 5.90373i | −0.149907 | + | 0.259646i | ||||
\(518\) | −15.6033 | + | 24.5416i | −0.685568 | + | 1.07829i | ||||
\(519\) | 12.6746i | 0.556352i | ||||||||
\(520\) | −8.52012 | − | 13.5973i | −0.373632 | − | 0.596282i | ||||
\(521\) | 26.4544i | 1.15899i | 0.814976 | + | 0.579495i | \(0.196750\pi\) | ||||
−0.814976 | + | 0.579495i | \(0.803250\pi\) | |||||||
\(522\) | 2.41755 | + | 9.02241i | 0.105813 | + | 0.394900i | ||||
\(523\) | −9.23888 | − | 5.33407i | −0.403988 | − | 0.233243i | 0.284215 | − | 0.958761i | \(-0.408267\pi\) |
−0.688203 | + | 0.725518i | \(0.741600\pi\) | |||||||
\(524\) | −7.34057 | − | 12.7142i | −0.320674 | − | 0.555424i | ||||
\(525\) | −7.63696 | − | 0.326464i | −0.333304 | − | 0.0142481i | ||||
\(526\) | 13.1062 | + | 3.51179i | 0.571456 | + | 0.153121i | ||||
\(527\) | 5.07623 | − | 18.9448i | 0.221124 | − | 0.825247i | ||||
\(528\) | −1.19928 | + | 1.19928i | −0.0521920 | + | 0.0521920i | ||||
\(529\) | −11.4243 | − | 19.7874i | −0.496707 | − | 0.860322i | ||||
\(530\) | 10.0448 | − | 17.3981i | 0.436318 | − | 0.755726i | ||||
\(531\) | −0.238377 | − | 0.889636i | −0.0103447 | − | 0.0386069i | ||||
\(532\) | 2.42186 | − | 2.22329i | 0.105001 | − | 0.0963919i | ||||
\(533\) | −21.9813 | + | 23.6310i | −0.952116 | + | 1.02357i | ||||
\(534\) | −11.7208 | −0.507210 | ||||||||
\(535\) | 5.05207 | − | 1.35370i | 0.218420 | − | 0.0585255i | ||||
\(536\) | 10.1385 | − | 17.5603i | 0.437915 | − | 0.758490i | ||||
\(537\) | 5.47818 | + | 9.48849i | 0.236401 | + | 0.409459i | ||||
\(538\) | −6.45273 | − | 6.45273i | −0.278197 | − | 0.278197i | ||||
\(539\) | −2.39762 | + | 6.62494i | −0.103273 | + | 0.285357i | ||||
\(540\) | −0.308606 | + | 1.15173i | −0.0132803 | + | 0.0495627i | ||||
\(541\) | 3.42225 | + | 3.42225i | 0.147134 | + | 0.147134i | 0.776836 | − | 0.629702i | \(-0.216823\pi\) |
−0.629702 | + | 0.776836i | \(0.716823\pi\) | |||||||
\(542\) | 0.341476 | − | 0.197151i | 0.0146677 | − | 0.00846838i | ||||
\(543\) | 3.79661 | + | 2.19197i | 0.162928 | + | 0.0940665i | ||||
\(544\) | −5.27157 | − | 19.6738i | −0.226017 | − | 0.843506i | ||||
\(545\) | −0.128043 | −0.00548475 | ||||||||
\(546\) | −7.37318 | + | 7.27693i | −0.315543 | + | 0.311424i | ||||
\(547\) | −19.6406 | −0.839770 | −0.419885 | − | 0.907577i | \(-0.637930\pi\) | ||||
−0.419885 | + | 0.907577i | \(0.637930\pi\) | |||||||
\(548\) | 0.537540 | + | 2.00613i | 0.0229626 | + | 0.0856975i | ||||
\(549\) | −8.36449 | − | 4.82924i | −0.356988 | − | 0.206107i | ||||
\(550\) | −2.73479 | + | 1.57893i | −0.116612 | + | 0.0673259i | ||||
\(551\) | −9.20882 | − | 9.20882i | −0.392309 | − | 0.392309i | ||||
\(552\) | −0.308549 | + | 1.15152i | −0.0131327 | + | 0.0490120i | ||||
\(553\) | −8.64661 | − | 16.5731i | −0.367691 | − | 0.704759i | ||||
\(554\) | −11.9925 | − | 11.9925i | −0.509514 | − | 0.509514i | ||||
\(555\) | 7.35288 | + | 12.7356i | 0.312113 | + | 0.540595i | ||||
\(556\) | 4.19968 | − | 7.27406i | 0.178106 | − | 0.308489i | ||||
\(557\) | −34.1973 | + | 9.16315i | −1.44899 | + | 0.388255i | −0.895672 | − | 0.444716i | \(-0.853305\pi\) |
−0.553316 | + | 0.832971i | \(0.686638\pi\) | |||||||
\(558\) | −4.49280 | −0.190195 | ||||||||
\(559\) | −16.1631 | + | 30.4900i | −0.683627 | + | 1.28959i | ||||
\(560\) | 4.38045 | + | 4.77169i | 0.185108 | + | 0.201641i | ||||
\(561\) | 1.23495 | + | 4.60890i | 0.0521397 | + | 0.194588i | ||||
\(562\) | −0.651705 | + | 1.12879i | −0.0274905 | + | 0.0476149i | ||||
\(563\) | 15.9428 | + | 27.6137i | 0.671908 | + | 1.16378i | 0.977362 | + | 0.211572i | \(0.0678583\pi\) |
−0.305455 | + | 0.952207i | \(0.598808\pi\) | |||||||
\(564\) | −3.93050 | + | 3.93050i | −0.165504 | + | 0.165504i | ||||
\(565\) | 0.821772 | − | 3.06689i | 0.0345722 | − | 0.129025i | ||||
\(566\) | −25.1168 | − | 6.73003i | −1.05574 | − | 0.282884i | ||||
\(567\) | 2.64334 | + | 0.112997i | 0.111010 | + | 0.00474543i | ||||
\(568\) | 4.06967 | + | 7.04888i | 0.170760 | + | 0.295764i | ||||
\(569\) | 23.6253 | + | 13.6401i | 0.990426 | + | 0.571823i | 0.905402 | − | 0.424556i | \(-0.139570\pi\) |
0.0850245 | + | 0.996379i | \(0.472903\pi\) | |||||||
\(570\) | 0.618295 | + | 2.30751i | 0.0258975 | + | 0.0966509i | ||||
\(571\) | 33.0144i | 1.38161i | 0.723042 | + | 0.690804i | \(0.242743\pi\) | ||||
−0.723042 | + | 0.690804i | \(0.757257\pi\) | |||||||
\(572\) | 0.666344 | − | 2.90275i | 0.0278612 | − | 0.121370i | ||||
\(573\) | − | 9.85014i | − | 0.411496i | ||||||
\(574\) | 13.7987 | − | 21.7032i | 0.575946 | − | 0.905874i | ||||
\(575\) | −0.562208 | + | 0.973772i | −0.0234457 | + | 0.0406091i | ||||
\(576\) | −6.95928 | + | 4.01794i | −0.289970 | + | 0.167414i | ||||
\(577\) | −18.3031 | − | 18.3031i | −0.761967 | − | 0.761967i | 0.214711 | − | 0.976678i | \(-0.431119\pi\) |
−0.976678 | + | 0.214711i | \(0.931119\pi\) | |||||||
\(578\) | 5.74226 | + | 1.53863i | 0.238847 | + | 0.0639988i | ||||
\(579\) | 12.2874 | + | 3.29240i | 0.510646 | + | 0.136827i | ||||
\(580\) | −7.25199 | + | 7.25199i | −0.301123 | + | 0.301123i | ||||
\(581\) | −2.73082 | + | 8.68866i | −0.113294 | + | 0.360467i | ||||
\(582\) | 12.9254 | + | 7.46250i | 0.535776 | + | 0.309331i | ||||
\(583\) | 12.3789 | − | 3.31691i | 0.512681 | − | 0.137373i | ||||
\(584\) | −10.6824 | −0.442042 | ||||||||
\(585\) | 1.53781 | + | 5.00763i | 0.0635807 | + | 0.207040i | ||||
\(586\) | 20.9678i | 0.866174i | ||||||||
\(587\) | 30.3048 | − | 8.12014i | 1.25081 | − | 0.335154i | 0.428162 | − | 0.903702i | \(-0.359161\pi\) |
0.822650 | + | 0.568548i | \(0.192495\pi\) | |||||||
\(588\) | −3.28651 | + | 4.71187i | −0.135533 | + | 0.194314i | ||||
\(589\) | 5.42485 | − | 3.13204i | 0.223527 | − | 0.129053i | ||||
\(590\) | −1.02754 | + | 1.02754i | −0.0423031 | + | 0.0423031i | ||||
\(591\) | 0.404048 | − | 1.50793i | 0.0166203 | − | 0.0620279i | ||||
\(592\) | −4.41447 | + | 16.4750i | −0.181434 | + | 0.677120i | ||||
\(593\) | −14.5568 | + | 14.5568i | −0.597777 | + | 0.597777i | −0.939721 | − | 0.341943i | \(-0.888915\pi\) |
0.341943 | + | 0.939721i | \(0.388915\pi\) | |||||||
\(594\) | 0.946578 | − | 0.546507i | 0.0388385 | − | 0.0224234i | ||||
\(595\) | 17.7875 | − | 3.96041i | 0.729217 | − | 0.162361i | ||||
\(596\) | 6.68512 | − | 1.79127i | 0.273833 | − | 0.0733733i | ||||
\(597\) | 11.6900i | 0.478439i | ||||||||
\(598\) | 0.447349 | + | 1.45672i | 0.0182934 | + | 0.0595696i | ||||
\(599\) | 17.9695 | 0.734214 | 0.367107 | − | 0.930179i | \(-0.380348\pi\) | ||||
0.367107 | + | 0.930179i | \(0.380348\pi\) | |||||||
\(600\) | −8.54833 | + | 2.29052i | −0.348984 | + | 0.0935100i | ||||
\(601\) | −15.4598 | − | 8.92570i | −0.630617 | − | 0.364087i | 0.150374 | − | 0.988629i | \(-0.451952\pi\) |
−0.780991 | + | 0.624542i | \(0.785286\pi\) | |||||||
\(602\) | 8.24539 | − | 26.2344i | 0.336057 | − | 1.06923i | ||||
\(603\) | −4.68077 | + | 4.68077i | −0.190616 | + | 0.190616i | ||||
\(604\) | −0.508609 | − | 0.136281i | −0.0206950 | − | 0.00554521i | ||||
\(605\) | −14.0155 | − | 3.75543i | −0.569810 | − | 0.152680i | ||||
\(606\) | 3.03698 | + | 3.03698i | 0.123369 | + | 0.123369i | ||||
\(607\) | 22.2125 | − | 12.8244i | 0.901578 | − | 0.520526i | 0.0238664 | − | 0.999715i | \(-0.492402\pi\) |
0.877712 | + | 0.479189i | \(0.159069\pi\) | |||||||
\(608\) | 3.25256 | − | 5.63361i | 0.131909 | − | 0.228473i | ||||
\(609\) | 19.2041 | + | 12.2098i | 0.778190 | + | 0.494766i | ||||
\(610\) | 15.2389i | 0.617005i | ||||||||
\(611\) | −5.46380 | + | 23.8015i | −0.221042 | + | 0.962907i | ||||
\(612\) | 3.89063i | 0.157270i | ||||||||
\(613\) | 0.916231 | + | 3.41942i | 0.0370062 | + | 0.138109i | 0.981957 | − | 0.189102i | \(-0.0605578\pi\) |
−0.944951 | + | 0.327211i | \(0.893891\pi\) | |||||||
\(614\) | −22.8687 | − | 13.2032i | −0.922905 | − | 0.532839i | ||||
\(615\) | −6.50249 | − | 11.2626i | −0.262206 | − | 0.454153i | ||||
\(616\) | −0.348376 | + | 8.14954i | −0.0140365 | + | 0.328354i | ||||
\(617\) | −5.87829 | − | 1.57508i | −0.236651 | − | 0.0634105i | 0.138544 | − | 0.990356i | \(-0.455758\pi\) |
−0.375195 | + | 0.926946i | \(0.622424\pi\) | |||||||
\(618\) | 3.58948 | − | 13.3961i | 0.144390 | − | 0.538871i | ||||
\(619\) | −34.1674 | + | 34.1674i | −1.37331 | + | 1.37331i | −0.517810 | + | 0.855496i | \(0.673253\pi\) |
−0.855496 | + | 0.517810i | \(0.826747\pi\) | |||||||
\(620\) | −2.46650 | − | 4.27210i | −0.0990569 | − | 0.171572i | ||||
\(621\) | 0.194594 | − | 0.337046i | 0.00780878 | − | 0.0135252i | ||||
\(622\) | −3.95289 | − | 14.7524i | −0.158496 | − | 0.591517i | ||||
\(623\) | −21.0359 | + | 19.3112i | −0.842786 | + | 0.773685i | ||||
\(624\) | −2.84569 | + | 5.36808i | −0.113919 | + | 0.214895i | ||||
\(625\) | 2.20722 | 0.0882889 | ||||||||
\(626\) | −19.7270 | + | 5.28584i | −0.788451 | + | 0.211265i | ||||
\(627\) | −0.761966 | + | 1.31976i | −0.0304300 | + | 0.0527063i | ||||
\(628\) | −3.32596 | − | 5.76073i | −0.132720 | − | 0.229878i | ||||
\(629\) | 33.9301 | + | 33.9301i | 1.35288 | + | 1.35288i | ||||
\(630\) | −1.93090 | − | 3.70098i | −0.0769287 | − | 0.147450i | ||||
\(631\) | 2.80135 | − | 10.4548i | 0.111520 | − | 0.416199i | −0.887483 | − | 0.460841i | \(-0.847548\pi\) |
0.999003 | + | 0.0446417i | \(0.0142146\pi\) | |||||||
\(632\) | −15.3033 | − | 15.3033i | −0.608734 | − | 0.608734i | ||||
\(633\) | −19.1926 | + | 11.0809i | −0.762838 | + | 0.440425i | ||||
\(634\) | 2.22390 | + | 1.28397i | 0.0883222 | + | 0.0509928i | ||||
\(635\) | −5.36966 | − | 20.0398i | −0.213088 | − | 0.795257i | ||||
\(636\) | 10.4497 | 0.414358 | ||||||||
\(637\) | −1.24355 | + | 25.2082i | −0.0492714 | + | 0.998785i | ||||
\(638\) | 9.40135 | 0.372203 | ||||||||
\(639\) | −0.687727 | − | 2.56663i | −0.0272061 | − | 0.101534i | ||||
\(640\) | 0.168516 | + | 0.0972930i | 0.00666120 | + | 0.00384584i | ||||
\(641\) | 26.3470 | − | 15.2114i | 1.04064 | − | 0.600815i | 0.120627 | − | 0.992698i | \(-0.461510\pi\) |
0.920015 | + | 0.391883i | \(0.128176\pi\) | |||||||
\(642\) | −2.76436 | − | 2.76436i | −0.109101 | − | 0.109101i | ||||
\(643\) | −5.55469 | + | 20.7304i | −0.219056 | + | 0.817527i | 0.765644 | + | 0.643265i | \(0.222421\pi\) |
−0.984699 | + | 0.174262i | \(0.944246\pi\) | |||||||
\(644\) | 0.390886 | + | 0.749218i | 0.0154031 | + | 0.0295233i | ||||
\(645\) | −9.83283 | − | 9.83283i | −0.387167 | − | 0.387167i | ||||
\(646\) | 3.89746 | + | 6.75060i | 0.153344 | + | 0.265599i | ||||
\(647\) | 3.76958 | − | 6.52911i | 0.148198 | − | 0.256686i | −0.782364 | − | 0.622822i | \(-0.785986\pi\) |
0.930561 | + | 0.366136i | \(0.119319\pi\) | |||||||
\(648\) | 2.95878 | − | 0.792804i | 0.116232 | − | 0.0311443i | ||||
\(649\) | −0.927000 | −0.0363879 | ||||||||
\(650\) | −7.70471 | + | 8.28296i | −0.302204 | + | 0.324884i | ||||
\(651\) | −8.06343 | + | 7.40230i | −0.316031 | + | 0.290119i | ||||
\(652\) | −2.91775 | − | 10.8892i | −0.114268 | − | 0.426454i | ||||
\(653\) | −11.4217 | + | 19.7830i | −0.446966 | + | 0.774167i | −0.998187 | − | 0.0601918i | \(-0.980829\pi\) |
0.551221 | + | 0.834359i | \(0.314162\pi\) | |||||||
\(654\) | 0.0478530 | + | 0.0828838i | 0.00187120 | + | 0.00324101i | ||||
\(655\) | 18.3779 | − | 18.3779i | 0.718086 | − | 0.718086i | ||||
\(656\) | 3.90392 | − | 14.5696i | 0.152422 | − | 0.568848i | ||||
\(657\) | 3.36856 | + | 0.902603i | 0.131420 | + | 0.0352139i | ||||
\(658\) | 0.831126 | − | 19.4425i | 0.0324007 | − | 0.757947i | ||||
\(659\) | 13.0916 | + | 22.6753i | 0.509975 | + | 0.883303i | 0.999933 | + | 0.0115568i | \(0.00367874\pi\) |
−0.489958 | + | 0.871746i | \(0.662988\pi\) | |||||||
\(660\) | 1.03932 | + | 0.600052i | 0.0404555 | + | 0.0233570i | ||||
\(661\) | 4.50623 | + | 16.8175i | 0.175272 | + | 0.654124i | 0.996505 | + | 0.0835312i | \(0.0266198\pi\) |
−0.821233 | + | 0.570593i | \(0.806713\pi\) | |||||||
\(662\) | 37.3584i | 1.45197i | ||||||||
\(663\) | 9.07588 | + | 14.4843i | 0.352478 | + | 0.562522i | ||||
\(664\) | 10.5446i | 0.409209i | ||||||||
\(665\) | 4.91151 | + | 3.12269i | 0.190460 | + | 0.121093i | ||||
\(666\) | 5.49594 | − | 9.51925i | 0.212963 | − | 0.368863i | ||||
\(667\) | 2.89904 | − | 1.67376i | 0.112251 | − | 0.0648083i | ||||
\(668\) | −12.8972 | − | 12.8972i | −0.499008 | − | 0.499008i | ||||
\(669\) | −13.2842 | − | 3.55949i | −0.513597 | − | 0.137618i | ||||
\(670\) | 10.0884 | + | 2.70317i | 0.389748 | + | 0.104433i | ||||
\(671\) | −6.87393 | + | 6.87393i | −0.265365 | + | 0.265365i | ||||
\(672\) | −3.40828 | + | 10.8441i | −0.131477 | + | 0.418321i | ||||
\(673\) | 13.2813 | + | 7.66796i | 0.511957 | + | 0.295578i | 0.733638 | − | 0.679541i | \(-0.237821\pi\) |
−0.221681 | + | 0.975119i | \(0.571154\pi\) | |||||||
\(674\) | −3.60596 | + | 0.966213i | −0.138896 | + | 0.0372172i | ||||
\(675\) | 2.88914 | 0.111203 | ||||||||
\(676\) | −0.770743 | − | 10.6411i | −0.0296440 | − | 0.409271i | ||||
\(677\) | − | 4.31369i | − | 0.165789i | −0.996558 | − | 0.0828943i | \(-0.973584\pi\) | ||
0.996558 | − | 0.0828943i | \(-0.0264164\pi\) | |||||||
\(678\) | −2.29236 | + | 0.614237i | −0.0880376 | + | 0.0235896i | ||||
\(679\) | 35.4930 | − | 7.90254i | 1.36210 | − | 0.303272i | ||||
\(680\) | 18.2714 | − | 10.5490i | 0.700678 | − | 0.404537i | ||||
\(681\) | −2.84191 | + | 2.84191i | −0.108902 | + | 0.108902i | ||||
\(682\) | −1.17037 | + | 4.36789i | −0.0448159 | + | 0.167255i | ||||
\(683\) | −2.11067 | + | 7.87714i | −0.0807627 | + | 0.301410i | −0.994478 | − | 0.104944i | \(-0.966534\pi\) |
0.913715 | + | 0.406355i | \(0.133200\pi\) | |||||||
\(684\) | −0.878653 | + | 0.878653i | −0.0335961 | + | 0.0335961i | ||||
\(685\) | −3.18418 | + | 1.83839i | −0.121661 | + | 0.0702412i | ||||
\(686\) | −2.67969 | − | 19.9330i | −0.102311 | − | 0.761045i | ||||
\(687\) | 1.86151 | − | 0.498789i | 0.0710209 | − | 0.0190300i | ||||
\(688\) | − | 16.1283i | − | 0.614886i | ||||||
\(689\) | 38.9028 | − | 24.3766i | 1.48208 | − | 0.928674i | ||||
\(690\) | −0.614050 | −0.0233765 | ||||||||
\(691\) | 8.79665 | − | 2.35706i | 0.334640 | − | 0.0896666i | −0.0875862 | − | 0.996157i | \(-0.527915\pi\) |
0.422227 | + | 0.906490i | \(0.361249\pi\) | |||||||
\(692\) | 9.00827 | + | 5.20093i | 0.342443 | + | 0.197710i | ||||
\(693\) | 0.798444 | − | 2.54041i | 0.0303304 | − | 0.0965023i | ||||
\(694\) | −14.5393 | + | 14.5393i | −0.551905 | + | 0.551905i | ||||
\(695\) | 14.3629 | + | 3.84853i | 0.544816 | + | 0.145983i | ||||
\(696\) | 25.4494 | + | 6.81915i | 0.964657 | + | 0.258479i | ||||
\(697\) | −30.0059 | − | 30.0059i | −1.13656 | − | 1.13656i | ||||
\(698\) | 30.6831 | − | 17.7149i | 1.16137 | − | 0.670518i | ||||
\(699\) | −0.565067 | + | 0.978726i | −0.0213728 | + | 0.0370188i | ||||
\(700\) | −3.36581 | + | 5.29390i | −0.127216 | + | 0.200091i | ||||
\(701\) | − | 42.0549i | − | 1.58839i | −0.607663 | − | 0.794195i | \(-0.707893\pi\) | ||
0.607663 | − | 0.794195i | \(-0.292107\pi\) | |||||||
\(702\) | 2.66679 | − | 2.86693i | 0.100651 | − | 0.108205i | ||||
\(703\) | 15.3254i | 0.578009i | ||||||||
\(704\) | 2.09335 | + | 7.81247i | 0.0788959 | + | 0.294444i | ||||
\(705\) | −8.52208 | − | 4.92023i | −0.320960 | − | 0.185306i | ||||
\(706\) | −17.8582 | − | 30.9312i | −0.672101 | − | 1.16411i | ||||
\(707\) | 10.4543 | + | 0.446900i | 0.393175 | + | 0.0168074i | ||||
\(708\) | −0.730113 | − | 0.195633i | −0.0274393 | − | 0.00735235i | ||||
\(709\) | 4.70279 | − | 17.5510i | 0.176617 | − | 0.659143i | −0.819654 | − | 0.572859i | \(-0.805834\pi\) |
0.996271 | − | 0.0862837i | \(-0.0274991\pi\) | |||||||
\(710\) | −2.96449 | + | 2.96449i | −0.111255 | + | 0.111255i | ||||
\(711\) | 3.53266 | + | 6.11875i | 0.132485 | + | 0.229471i | ||||
\(712\) | −16.5304 | + | 28.6315i | −0.619504 | + | 1.07301i | ||||
\(713\) | 0.416733 | + | 1.55527i | 0.0156068 | + | 0.0582453i | ||||
\(714\) | −9.21130 | − | 10.0340i | −0.344724 | − | 0.375513i | ||||
\(715\) | 5.26901 | − | 0.190570i | 0.197050 | − | 0.00712693i | ||||
\(716\) | 8.99175 | 0.336038 | ||||||||
\(717\) | 4.95639 | − | 1.32806i | 0.185100 | − | 0.0495974i | ||||
\(718\) | −1.11470 | + | 1.93072i | −0.0416003 | + | 0.0720538i | ||||
\(719\) | 22.3307 | + | 38.6778i | 0.832793 | + | 1.44244i | 0.895815 | + | 0.444427i | \(0.146593\pi\) |
−0.0630222 | + | 0.998012i | \(0.520074\pi\) | |||||||
\(720\) | −1.73117 | − | 1.73117i | −0.0645170 | − | 0.0645170i | ||||
\(721\) | −15.6291 | − | 29.9566i | −0.582059 | − | 1.11564i | ||||
\(722\) | 4.69594 | − | 17.5255i | 0.174765 | − | 0.652231i | ||||
\(723\) | −6.93091 | − | 6.93091i | −0.257763 | − | 0.257763i | ||||
\(724\) | 3.11583 | − | 1.79892i | 0.115799 | − | 0.0668565i | ||||
\(725\) | 21.5210 | + | 12.4252i | 0.799271 | + | 0.461459i | ||||
\(726\) | 2.80701 | + | 10.4759i | 0.104178 | + | 0.388798i | ||||
\(727\) | −21.6855 | −0.804272 | −0.402136 | − | 0.915580i | \(-0.631732\pi\) | ||||
−0.402136 | + | 0.915580i | \(0.631732\pi\) | |||||||
\(728\) | 7.37728 | + | 28.2741i | 0.273420 | + | 1.04791i | ||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | −1.42410 | − | 5.31483i | −0.0527085 | − | 0.196711i | ||||
\(731\) | −39.2949 | − | 22.6869i | −1.45338 | − | 0.839107i | ||||
\(732\) | −6.86463 | + | 3.96330i | −0.253724 | + | 0.146488i | ||||
\(733\) | −36.4440 | − | 36.4440i | −1.34609 | − | 1.34609i | −0.889865 | − | 0.456223i | \(-0.849202\pi\) |
−0.456223 | − | 0.889865i | \(-0.650798\pi\) | |||||||
\(734\) | 0.130093 | − | 0.485514i | 0.00480183 | − | 0.0179207i | ||||
\(735\) | −9.56316 | − | 3.46098i | −0.352742 | − | 0.127660i | ||||
\(736\) | 1.18235 | + | 1.18235i | 0.0435819 | + | 0.0435819i | ||||
\(737\) | 3.33130 | + | 5.76998i | 0.122710 | + | 0.212540i | ||||
\(738\) | −4.86031 | + | 8.41830i | −0.178910 | + | 0.309882i | ||||
\(739\) | −6.28312 | + | 1.68356i | −0.231128 | + | 0.0619307i | −0.372524 | − | 0.928022i | \(-0.621508\pi\) |
0.141396 | + | 0.989953i | \(0.454841\pi\) | |||||||
\(740\) | 12.0688 | 0.443659 | ||||||||
\(741\) | −1.22142 | + | 5.32077i | −0.0448699 | + | 0.195464i | ||||
\(742\) | −26.9500 | + | 24.7403i | −0.989364 | + | 0.908246i | ||||
\(743\) | 6.75798 | + | 25.2211i | 0.247926 | + | 0.925273i | 0.971890 | + | 0.235435i | \(0.0756515\pi\) |
−0.723964 | + | 0.689838i | \(0.757682\pi\) | |||||||
\(744\) | −6.33639 | + | 10.9750i | −0.232303 | + | 0.402361i | ||||
\(745\) | 6.12615 | + | 10.6108i | 0.224445 | + | 0.388750i | ||||
\(746\) | 7.94705 | − | 7.94705i | 0.290962 | − | 0.290962i | ||||
\(747\) | 0.890956 | − | 3.32509i | 0.0325984 | − | 0.121659i | ||||
\(748\) | 3.78247 | + | 1.01351i | 0.138301 | + | 0.0370576i | ||||
\(749\) | −9.51586 | − | 0.406783i | −0.347702 | − | 0.0148635i | ||||
\(750\) | −6.22363 | − | 10.7797i | −0.227255 | − | 0.393617i | ||||
\(751\) | 31.8018 | + | 18.3608i | 1.16046 | + | 0.669993i | 0.951415 | − | 0.307912i | \(-0.0996303\pi\) |
0.209048 | + | 0.977905i | \(0.432964\pi\) | |||||||
\(752\) | −2.95397 | − | 11.0244i | −0.107720 | − | 0.402017i | ||||
\(753\) | − | 28.3639i | − | 1.03364i | ||||||
\(754\) | 32.1945 | − | 9.88671i | 1.17245 | − | 0.360053i | ||||
\(755\) | − | 0.932165i | − | 0.0339250i | ||||||
\(756\) | 1.16499 | − | 1.83235i | 0.0423702 | − | 0.0666418i | ||||
\(757\) | 25.3385 | − | 43.8875i | 0.920943 | − | 1.59512i | 0.122984 | − | 0.992409i | \(-0.460754\pi\) |
0.797959 | − | 0.602711i | \(-0.205913\pi\) | |||||||
\(758\) | 14.5062 | − | 8.37517i | 0.526890 | − | 0.304200i | ||||
\(759\) | −0.276984 | − | 0.276984i | −0.0100539 | − | 0.0100539i | ||||
\(760\) | 6.50876 | + | 1.74402i | 0.236097 | + | 0.0632621i | ||||
\(761\) | 25.8358 | + | 6.92269i | 0.936548 | + | 0.250947i | 0.694645 | − | 0.719353i | \(-0.255562\pi\) |
0.241903 | + | 0.970300i | \(0.422228\pi\) | |||||||
\(762\) | −10.9653 | + | 10.9653i | −0.397230 | + | 0.397230i | ||||
\(763\) | 0.222443 | + | 0.0699131i | 0.00805296 | + | 0.00253102i | ||||
\(764\) | −7.00085 | − | 4.04194i | −0.253282 | − | 0.146232i | ||||
\(765\) | −6.65299 | + | 1.78266i | −0.240539 | + | 0.0644523i | ||||
\(766\) | 35.2576 | 1.27391 | ||||||||
\(767\) | −3.17447 | + | 0.974858i | −0.114623 | + | 0.0352001i | ||||
\(768\) | 15.9263i | 0.574692i | ||||||||
\(769\) | −22.6180 | + | 6.06047i | −0.815626 | + | 0.218546i | −0.642433 | − | 0.766342i | \(-0.722075\pi\) |
−0.173193 | + | 0.984888i | \(0.555408\pi\) | |||||||
\(770\) | −4.10108 | + | 0.913110i | −0.147793 | + | 0.0329062i | ||||
\(771\) | −5.75185 | + | 3.32083i | −0.207148 | + | 0.119597i | ||||
\(772\) | 7.38208 | − | 7.38208i | 0.265687 | − | 0.265687i | ||||
\(773\) | 3.07578 | − | 11.4790i | 0.110628 | − | 0.412869i | −0.888295 | − | 0.459274i | \(-0.848110\pi\) |
0.998923 | + | 0.0464045i | \(0.0147763\pi\) | |||||||
\(774\) | −2.69014 | + | 10.0397i | −0.0966949 | + | 0.360870i | ||||
\(775\) | −8.45192 | + | 8.45192i | −0.303602 | + | 0.303602i | ||||
\(776\) | 36.4586 | − | 21.0494i | 1.30879 | − | 0.755628i | ||||
\(777\) | −5.82002 | − | 26.1397i | −0.208792 | − | 0.937755i | ||||
\(778\) | −39.2131 | + | 10.5071i | −1.40586 | + | 0.376699i | ||||
\(779\) | − | 13.5530i | − | 0.485585i | ||||||
\(780\) | 4.19014 | + | 0.961872i | 0.150031 | + | 0.0344405i | ||||
\(781\) | −2.67443 | −0.0956986 | ||||||||
\(782\) | −1.93535 | + | 0.518576i | −0.0692080 | + | 0.0185442i | ||||
\(783\) | −7.44895 | − | 4.30065i | −0.266204 | − | 0.153693i | ||||
\(784\) | −5.00455 | − | 10.6814i | −0.178734 | − | 0.381479i | ||||
\(785\) | 8.32692 | − | 8.32692i | 0.297201 | − | 0.297201i | ||||
\(786\) | −18.7646 | − | 5.02797i | −0.669312 | − | 0.179342i | ||||
\(787\) | 1.37868 | + | 0.369415i | 0.0491445 | + | 0.0131682i | 0.283308 | − | 0.959029i | \(-0.408568\pi\) |
−0.234163 | + | 0.972197i | \(0.575235\pi\) | |||||||
\(788\) | −0.905941 | − | 0.905941i | −0.0322728 | − | 0.0322728i | ||||
\(789\) | −10.8205 | + | 6.24723i | −0.385221 | + | 0.222407i | ||||
\(790\) | 5.57374 | − | 9.65400i | 0.198305 | − | 0.343474i | ||||
\(791\) | −3.10219 | + | 4.87927i | −0.110301 | + | 0.173487i | ||||
\(792\) | − | 3.08305i | − | 0.109551i | ||||||
\(793\) | −16.3106 | + | 30.7683i | −0.579208 | + | 1.09261i | ||||
\(794\) | − | 39.3369i | − | 1.39602i | ||||||
\(795\) | 4.78799 | + | 17.8690i | 0.169813 | + | 0.633749i | ||||
\(796\) | 8.30849 | + | 4.79691i | 0.294487 | + | 0.170022i | ||||
\(797\) | −15.8960 | − | 27.5327i | −0.563065 | − | 0.975258i | −0.997227 | − | 0.0744227i | \(-0.976289\pi\) |
0.434161 | − | 0.900835i | \(-0.357045\pi\) | |||||||
\(798\) | 0.185796 | − | 4.34632i | 0.00657711 | − | 0.153858i | ||||
\(799\) | −31.0150 | − | 8.31044i | −1.09723 | − | 0.294002i | ||||
\(800\) | −3.21266 | + | 11.9898i | −0.113585 | + | 0.423904i | ||||
\(801\) | 7.63184 | − | 7.63184i | 0.269658 | − | 0.269658i | ||||
\(802\) | 18.9104 | + | 32.7538i | 0.667750 | + | 1.15658i | ||||
\(803\) | 1.75502 | − | 3.03978i | 0.0619333 | − | 0.107272i | ||||
\(804\) | 1.40607 | + | 5.24752i | 0.0495882 | + | 0.185066i | ||||
\(805\) | −1.10206 | + | 1.01170i | −0.0388426 | + | 0.0356578i | ||||
\(806\) | 0.585506 | + | 16.1884i | 0.0206236 | + | 0.570213i | ||||
\(807\) | 8.40319 | 0.295806 | ||||||||
\(808\) | 11.7019 | − | 3.13551i | 0.411671 | − | 0.110307i | ||||
\(809\) | 7.21908 | − | 12.5038i | 0.253809 | − | 0.439611i | −0.710762 | − | 0.703432i | \(-0.751650\pi\) |
0.964571 | + | 0.263822i | \(0.0849831\pi\) | |||||||
\(810\) | 0.788887 | + | 1.36639i | 0.0277187 | + | 0.0480101i | ||||
\(811\) | 16.5212 | + | 16.5212i | 0.580138 | + | 0.580138i | 0.934941 | − | 0.354803i | \(-0.115452\pi\) |
−0.354803 | + | 0.934941i | \(0.615452\pi\) | |||||||
\(812\) | 16.5582 | − | 8.63886i | 0.581080 | − | 0.303164i | ||||
\(813\) | −0.0939748 | + | 0.350719i | −0.00329584 | + | 0.0123002i | ||||
\(814\) | −7.82291 | − | 7.82291i | −0.274193 | − | 0.274193i | ||||
\(815\) | 17.2836 | − | 9.97871i | 0.605419 | − | 0.349539i | ||||
\(816\) | −6.91828 | − | 3.99427i | −0.242188 | − | 0.139828i | ||||
\(817\) | −3.75072 | − | 13.9979i | −0.131221 | − | 0.489723i | ||||
\(818\) | 12.4856 | 0.436550 | ||||||||
\(819\) | 0.0626684 | − | 9.53919i | 0.00218981 | − | 0.333326i | ||||
\(820\) | −10.6730 | −0.372718 | ||||||||
\(821\) | −7.38477 | − | 27.5603i | −0.257730 | − | 0.961862i | −0.966551 | − | 0.256474i | \(-0.917439\pi\) |
0.708821 | − | 0.705388i | \(-0.249227\pi\) | |||||||
\(822\) | 2.38003 | + | 1.37411i | 0.0830130 | + | 0.0479276i | ||||
\(823\) | 0.0527072 | − | 0.0304305i | 0.00183726 | − | 0.00106074i | −0.499081 | − | 0.866555i | \(-0.666329\pi\) |
0.500918 | + | 0.865495i | \(0.332996\pi\) | |||||||
\(824\) | −27.6614 | − | 27.6614i | −0.963632 | − | 0.963632i | ||||
\(825\) | 0.752619 | − | 2.80881i | 0.0262028 | − | 0.0977903i | ||||
\(826\) | 2.34614 | − | 1.22404i | 0.0816328 | − | 0.0425900i | ||||
\(827\) | −37.2665 | − | 37.2665i | −1.29588 | − | 1.29588i | −0.931087 | − | 0.364798i | \(-0.881138\pi\) |
−0.364798 | − | 0.931087i | \(-0.618862\pi\) | |||||||
\(828\) | −0.159701 | − | 0.276610i | −0.00554998 | − | 0.00961285i | ||||
\(829\) | 2.17299 | − | 3.76373i | 0.0754711 | − | 0.130720i | −0.825820 | − | 0.563934i | \(-0.809287\pi\) |
0.901291 | + | 0.433214i | \(0.142621\pi\) | |||||||
\(830\) | −5.24624 | + | 1.40573i | −0.182100 | + | 0.0487935i | ||||
\(831\) | 15.6175 | 0.541765 | ||||||||
\(832\) | 15.3844 | + | 24.5520i | 0.533357 | + | 0.851188i | ||||
\(833\) | −33.0638 | − | 2.83200i | −1.14559 | − | 0.0981228i | ||||
\(834\) | −2.87660 | − | 10.7356i | −0.0996085 | − | 0.371744i | ||||
\(835\) | 16.1448 | − | 27.9636i | 0.558714 | − | 0.967722i | ||||
\(836\) | 0.625336 | + | 1.08311i | 0.0216277 | + | 0.0374603i | ||||
\(837\) | 2.92542 | − | 2.92542i | 0.101117 | − | 0.101117i | ||||
\(838\) | −8.22156 | + | 30.6833i | −0.284009 | + | 1.05994i | ||||
\(839\) | 46.4621 | + | 12.4495i | 1.60405 | + | 0.429804i | 0.946263 | − | 0.323399i | \(-0.104826\pi\) |
0.657788 | + | 0.753203i | \(0.271492\pi\) | |||||||
\(840\) | −11.7639 | − | 0.502883i | −0.405894 | − | 0.0173511i | ||||
\(841\) | −22.4912 | − | 38.9560i | −0.775560 | − | 1.34331i | ||||
\(842\) | 11.7674 | + | 6.79392i | 0.405532 | + | 0.234134i | ||||
\(843\) | −0.310644 | − | 1.15934i | −0.0106991 | − | 0.0399297i | ||||
\(844\) | 18.1879i | 0.626052i | ||||||||
\(845\) | 17.8431 | − | 6.19363i | 0.613820 | − | 0.213067i | ||||
\(846\) | 7.35528i | 0.252880i | ||||||||
\(847\) | 22.2979 | + | 14.1768i | 0.766165 | + | 0.487120i | ||||
\(848\) | −10.7281 | + | 18.5816i | −0.368404 | + | 0.638094i | ||||
\(849\) | 20.7366 | − | 11.9723i | 0.711678 | − | 0.410887i | ||||
\(850\) | −10.5174 | − | 10.5174i | −0.360745 | − | 0.360745i | ||||
\(851\) | −3.80505 | − | 1.01956i | −0.130435 | − | 0.0349500i | ||||
\(852\) | −2.10640 | − | 0.564409i | −0.0721642 | − | 0.0193363i | ||||
\(853\) | 3.74166 | − | 3.74166i | 0.128112 | − | 0.128112i | −0.640143 | − | 0.768255i | \(-0.721125\pi\) |
0.768255 | + | 0.640143i | \(0.221125\pi\) | |||||||
\(854\) | 8.32064 | − | 26.4738i | 0.284727 | − | 0.905915i | ||||
\(855\) | −1.90509 | − | 1.09990i | −0.0651527 | − | 0.0376159i | ||||
\(856\) | −10.6514 | + | 2.85405i | −0.364059 | + | 0.0975493i | ||||
\(857\) | 10.1411 | 0.346413 | 0.173207 | − | 0.984885i | \(-0.444587\pi\) | ||||
0.173207 | + | 0.984885i | \(0.444587\pi\) | |||||||
\(858\) | −2.09253 | − | 3.33948i | −0.0714378 | − | 0.114008i | ||||
\(859\) | − | 32.3015i | − | 1.10211i | −0.834468 | − | 0.551056i | \(-0.814225\pi\) | ||
0.834468 | − | 0.551056i | \(-0.185775\pi\) | |||||||
\(860\) | −11.0234 | + | 2.95371i | −0.375894 | + | 0.100721i | ||||
\(861\) | 5.14691 | + | 23.1165i | 0.175406 | + | 0.787808i | ||||
\(862\) | −14.2099 | + | 8.20407i | −0.483990 | + | 0.279432i | ||||
\(863\) | 30.9883 | − | 30.9883i | 1.05486 | − | 1.05486i | 0.0564495 | − | 0.998405i | \(-0.482022\pi\) |
0.998405 | − | 0.0564495i | \(-0.0179780\pi\) | |||||||
\(864\) | 1.11198 | − | 4.14997i | 0.0378304 | − | 0.141185i | ||||
\(865\) | −4.76606 | + | 17.7872i | −0.162051 | + | 0.604782i | ||||
\(866\) | −25.5092 | + | 25.5092i | −0.866839 | + | 0.866839i | ||||
\(867\) | −4.74084 | + | 2.73713i | −0.161007 | + | 0.0929577i | ||||
\(868\) | 1.95230 | + | 8.76845i | 0.0662655 | + | 0.297621i | ||||
\(869\) | 6.86889 | − | 1.84051i | 0.233011 | − | 0.0624352i | ||||
\(870\) | 13.5709i | 0.460097i | ||||||||
\(871\) | 17.4757 | + | 16.2557i | 0.592143 | + | 0.550804i | ||||
\(872\) | 0.269957 | 0.00914189 | ||||||||
\(873\) | −13.2753 | + | 3.55710i | −0.449300 | + | 0.120390i | ||||
\(874\) | −0.554190 | − | 0.319962i | −0.0187458 | − | 0.0108229i | ||||
\(875\) | −28.9303 | − | 9.09271i | −0.978022 | − | 0.307390i | ||||
\(876\) | 2.02378 | − | 2.02378i | 0.0683772 | − | 0.0683772i | ||||
\(877\) | −17.0303 | − | 4.56327i | −0.575074 | − | 0.154091i | −0.0404512 | − | 0.999182i | \(-0.512880\pi\) |
−0.534623 | + | 0.845091i | \(0.679546\pi\) | |||||||
\(878\) | −6.55100 | − | 1.75533i | −0.221086 | − | 0.0592397i | ||||
\(879\) | −13.6529 | − | 13.6529i | −0.460500 | − | 0.460500i | ||||
\(880\) | −2.13401 | + | 1.23207i | −0.0719376 | + | 0.0415332i | ||||
\(881\) | 2.42023 | − | 4.19196i | 0.0815396 | − | 0.141231i | −0.822372 | − | 0.568950i | \(-0.807350\pi\) |
0.903911 | + | 0.427720i | \(0.140683\pi\) | |||||||
\(882\) | 1.33367 | + | 7.48383i | 0.0449070 | + | 0.251994i | ||||
\(883\) | 23.3796i | 0.786785i | 0.919371 | + | 0.393393i | \(0.128699\pi\) | ||||
−0.919371 | + | 0.393393i | \(0.871301\pi\) | |||||||
\(884\) | 14.0187 | − | 0.507031i | 0.471500 | − | 0.0170533i | ||||
\(885\) | − | 1.33813i | − | 0.0449808i | ||||||
\(886\) | 4.80387 | + | 17.9283i | 0.161389 | + | 0.602313i | ||||
\(887\) | −43.5357 | − | 25.1353i | −1.46178 | − | 0.843962i | −0.462690 | − | 0.886520i | \(-0.653116\pi\) |
−0.999094 | + | 0.0425584i | \(0.986449\pi\) | |||||||
\(888\) | −15.5023 | − | 26.8508i | −0.520224 | − | 0.901055i | ||||
\(889\) | −1.61357 | + | 37.7462i | −0.0541174 | + | 1.26597i | ||||
\(890\) | −16.4487 | − | 4.40743i | −0.551363 | − | 0.147737i | ||||
\(891\) | −0.260500 | + | 0.972198i | −0.00872707 | + | 0.0325699i | ||||
\(892\) | −7.98094 | + | 7.98094i | −0.267222 | + | 0.267222i | ||||
\(893\) | −5.12755 | − | 8.88117i | −0.171587 | − | 0.297197i | ||||
\(894\) | 4.57901 | − | 7.93108i | 0.153145 | − | 0.265255i | ||||
\(895\) | 4.11996 | + | 15.3759i | 0.137715 | + | 0.513960i | ||||
\(896\) | −0.239632 | − | 0.261035i | −0.00800555 | − | 0.00872056i | ||||
\(897\) | −1.23980 | − | 0.657235i | −0.0413958 | − | 0.0219444i | ||||
\(898\) | 40.3042 | 1.34497 | ||||||||
\(899\) | 34.3725 | − | 9.21008i | 1.14639 | − | 0.307173i | ||||
\(900\) | 1.18554 | − | 2.05341i | 0.0395179 | − | 0.0684471i | ||||
\(901\) | 30.1814 | + | 52.2757i | 1.00549 | + | 1.74156i | ||||
\(902\) | 6.91815 | + | 6.91815i | 0.230349 | + | 0.230349i | ||||
\(903\) | 11.7133 | + | 22.4510i | 0.389793 | + | 0.747121i | ||||
\(904\) | −1.73257 | + | 6.46604i | −0.0576244 | + | 0.215057i | ||||
\(905\) | 4.50381 | + | 4.50381i | 0.149712 | + | 0.149712i | ||||
\(906\) | −0.603403 | + | 0.348375i | −0.0200467 | + | 0.0115740i | ||||
\(907\) | −31.7089 | − | 18.3071i | −1.05288 | − | 0.607878i | −0.129422 | − | 0.991590i | \(-0.541312\pi\) |
−0.923453 | + | 0.383712i | \(0.874646\pi\) | |||||||
\(908\) | 0.853689 | + | 3.18601i | 0.0283307 | + | 0.105732i | ||||
\(909\) | −3.95497 | −0.131178 | ||||||||
\(910\) | −13.0837 | + | 7.43971i | −0.433721 | + | 0.246624i | ||||
\(911\) | 40.8424 | 1.35317 | 0.676585 | − | 0.736365i | \(-0.263459\pi\) | ||||
0.676585 | + | 0.736365i | \(0.263459\pi\) | |||||||
\(912\) | −0.660353 | − | 2.46447i | −0.0218665 | − | 0.0816068i | ||||
\(913\) | −3.00056 | − | 1.73237i | −0.0993039 | − | 0.0573331i | ||||
\(914\) | 7.52181 | − | 4.34272i | 0.248799 | − | 0.143644i | ||||
\(915\) | −9.92257 | − | 9.92257i | −0.328030 | − | 0.328030i | ||||
\(916\) | 0.409350 | − | 1.52772i | 0.0135253 | − | 0.0504771i | ||||
\(917\) | −41.9617 | + | 21.8925i | −1.38570 | + | 0.722955i | ||||
\(918\) | 3.64034 | + | 3.64034i | 0.120149 | + | 0.120149i | ||||
\(919\) | 12.1413 | + | 21.0293i | 0.400504 | + | 0.693693i | 0.993787 | − | 0.111301i | \(-0.0355018\pi\) |
−0.593283 | + | 0.804994i | \(0.702168\pi\) | |||||||
\(920\) | −0.866021 | + | 1.49999i | −0.0285519 | + | 0.0494533i | ||||
\(921\) | 23.4877 | − | 6.29350i | 0.773945 | − | 0.207378i | ||||
\(922\) | 12.0824 | 0.397912 | ||||||||
\(923\) | −9.15845 | + | 2.81250i | −0.301454 | + | 0.0925746i | ||||
\(924\) | −1.47793 | − | 1.60993i | −0.0486202 | − | 0.0529627i | ||||
\(925\) | −7.56871 | − | 28.2468i | −0.248858 | − | 0.928749i | ||||
\(926\) | 18.6069 | − | 32.2281i | 0.611461 | − | 1.05908i | ||||
\(927\) | 6.38543 | + | 11.0599i | 0.209725 | + | 0.363255i | ||||
\(928\) | 26.1307 | − | 26.1307i | 0.857781 | − | 0.857781i | ||||
\(929\) | 0.812091 | − | 3.03077i | 0.0266438 | − | 0.0994362i | −0.951324 | − | 0.308194i | \(-0.900275\pi\) |
0.977967 | + | 0.208758i | \(0.0669421\pi\) | |||||||
\(930\) | −6.30509 | − | 1.68944i | −0.206752 | − | 0.0553990i | ||||
\(931\) | −6.82750 | − | 8.10665i | −0.223762 | − | 0.265685i | ||||
\(932\) | 0.463744 | + | 0.803228i | 0.0151904 | + | 0.0263106i | ||||
\(933\) | 12.1796 | + | 7.03192i | 0.398744 | + | 0.230215i | ||||
\(934\) | 2.96734 | + | 11.0743i | 0.0970944 | + | 0.362361i | ||||
\(935\) | 6.93241i | 0.226714i | ||||||||
\(936\) | −3.24222 | − | 10.5578i | −0.105975 | − | 0.345091i | ||||
\(937\) | − | 39.6319i | − | 1.29472i | −0.762185 | − | 0.647359i | \(-0.775874\pi\) | ||
0.762185 | − | 0.647359i | \(-0.224126\pi\) | |||||||
\(938\) | −16.0501 | − | 10.2045i | −0.524053 | − | 0.333188i | ||||
\(939\) | 9.40316 | − | 16.2867i | 0.306860 | − | 0.531498i | ||||
\(940\) | −6.99397 | + | 4.03797i | −0.228118 | + | 0.131704i | ||||
\(941\) | 9.63423 | + | 9.63423i | 0.314067 | + | 0.314067i | 0.846483 | − | 0.532416i | \(-0.178716\pi\) |
−0.532416 | + | 0.846483i | \(0.678716\pi\) | |||||||
\(942\) | −8.50213 | − | 2.27814i | −0.277014 | − | 0.0742258i | ||||
\(943\) | 3.36498 | + | 0.901643i | 0.109579 | + | 0.0293615i | ||||
\(944\) | 1.09743 | − | 1.09743i | 0.0357185 | − | 0.0357185i | ||||
\(945\) | 3.66710 | + | 1.15256i | 0.119291 | + | 0.0374928i | ||||
\(946\) | 9.05982 | + | 5.23069i | 0.294560 | + | 0.170064i | ||||
\(947\) | 51.2831 | − | 13.7413i | 1.66648 | − | 0.446531i | 0.702319 | − | 0.711862i | \(-0.252148\pi\) |
0.964157 | + | 0.265331i | \(0.0854814\pi\) | |||||||
\(948\) | 5.79842 | 0.188324 | ||||||||
\(949\) | 2.81326 | − | 12.2552i | 0.0913224 | − | 0.397821i | ||||
\(950\) | − | 4.75047i | − | 0.154126i | ||||||
\(951\) | −2.28409 | + | 0.612020i | −0.0740667 | + | 0.0198461i | ||||
\(952\) | −37.5020 | + | 8.34986i | −1.21545 | + | 0.270621i | ||||
\(953\) | −28.0071 | + | 16.1699i | −0.907238 | + | 0.523794i | −0.879542 | − | 0.475822i | \(-0.842151\pi\) |
−0.0276968 | + | 0.999616i | \(0.508817\pi\) | |||||||
\(954\) | 9.77747 | − | 9.77747i | 0.316557 | − | 0.316557i | ||||
\(955\) | 3.70398 | − | 13.8234i | 0.119858 | − | 0.447316i | ||||
\(956\) | 1.08992 | − | 4.06765i | 0.0352506 | − | 0.131557i | ||||
\(957\) | −6.12154 | + | 6.12154i | −0.197881 | + | 0.197881i | ||||
\(958\) | −8.28783 | + | 4.78498i | −0.267768 | + | 0.154596i | ||||
\(959\) | 6.53551 | − | 1.45514i | 0.211043 | − | 0.0469889i | ||||
\(960\) | −11.2774 | + | 3.02176i | −0.363975 | + | 0.0975269i | ||||
\(961\) | − | 13.8839i | − | 0.447867i | ||||||
\(962\) | −35.0159 | − | 18.5624i | −1.12896 | − | 0.598475i | ||||
\(963\) | 3.59994 | 0.116006 | ||||||||
\(964\) | −7.77010 | + | 2.08199i | −0.250258 | + | 0.0670565i | ||||
\(965\) | 16.0058 | + | 9.24094i | 0.515244 | + | 0.297476i | ||||
\(966\) | 1.06676 | + | 0.335279i | 0.0343224 | + | 0.0107874i | ||||
\(967\) | 5.38328 | − | 5.38328i | 0.173115 | − | 0.173115i | −0.615232 | − | 0.788346i | \(-0.710938\pi\) |
0.788346 | + | 0.615232i | \(0.210938\pi\) | |||||||
\(968\) | 29.5493 | + | 7.91771i | 0.949750 | + | 0.254485i | ||||
\(969\) | −6.93332 | − | 1.85778i | −0.222730 | − | 0.0596804i | ||||
\(970\) | 15.3331 | + | 15.3331i | 0.492316 | + | 0.492316i | ||||
\(971\) | −36.0969 | + | 20.8405i | −1.15840 | + | 0.668804i | −0.950921 | − | 0.309434i | \(-0.899860\pi\) |
−0.207483 | + | 0.978239i | \(0.566527\pi\) | |||||||
\(972\) | −0.410344 | + | 0.710736i | −0.0131618 | + | 0.0227969i | ||||
\(973\) | −22.8507 | − | 14.5282i | −0.732558 | − | 0.465753i | ||||
\(974\) | − | 22.2941i | − | 0.714348i | ||||||
\(975\) | −0.376515 | − | 10.4101i | −0.0120581 | − | 0.333391i | ||||
\(976\) | − | 16.2755i | − | 0.520966i | ||||||
\(977\) | −2.38909 | − | 8.91619i | −0.0764336 | − | 0.285254i | 0.917121 | − | 0.398609i | \(-0.130507\pi\) |
−0.993555 | + | 0.113355i | \(0.963840\pi\) | |||||||
\(978\) | −12.9187 | − | 7.45862i | −0.413095 | − | 0.238500i | ||||
\(979\) | −5.43157 | − | 9.40776i | −0.173594 | − | 0.300673i | ||||
\(980\) | −6.38402 | + | 5.37669i | −0.203930 | + | 0.171752i | ||||
\(981\) | −0.0851272 | − | 0.0228098i | −0.00271790 | − | 0.000728260i | ||||
\(982\) | −0.883840 | + | 3.29853i | −0.0282045 | + | 0.105260i | ||||
\(983\) | −23.8714 | + | 23.8714i | −0.761380 | + | 0.761380i | −0.976572 | − | 0.215192i | \(-0.930962\pi\) |
0.215192 | + | 0.976572i | \(0.430962\pi\) | |||||||
\(984\) | 13.7094 | + | 23.7454i | 0.437040 | + | 0.756976i | ||||
\(985\) | 1.13406 | − | 1.96426i | 0.0361343 | − | 0.0625864i | ||||
\(986\) | 11.4609 | + | 42.7726i | 0.364989 | + | 1.36216i | ||||
\(987\) | 12.1185 | + | 13.2008i | 0.385736 | + | 0.420188i | ||||
\(988\) | 3.28047 | + | 3.05145i | 0.104365 | + | 0.0970796i | ||||
\(989\) | 3.72497 | 0.118447 | ||||||||
\(990\) | 1.53391 | − | 0.411010i | 0.0487508 | − | 0.0130627i | ||||
\(991\) | −2.66281 | + | 4.61212i | −0.0845869 | + | 0.146509i | −0.905215 | − | 0.424954i | \(-0.860290\pi\) |
0.820628 | + | 0.571462i | \(0.193624\pi\) | |||||||
\(992\) | 8.88738 | + | 15.3934i | 0.282175 | + | 0.488741i | ||||
\(993\) | −24.3253 | − | 24.3253i | −0.771940 | − | 0.771940i | ||||
\(994\) | 6.76871 | − | 3.53141i | 0.214691 | − | 0.112010i | ||||
\(995\) | −4.39582 | + | 16.4054i | −0.139357 | + | 0.520087i | ||||
\(996\) | −1.99766 | − | 1.99766i | −0.0632984 | − | 0.0632984i | ||||
\(997\) | 28.6452 | − | 16.5383i | 0.907203 | − | 0.523774i | 0.0276726 | − | 0.999617i | \(-0.491190\pi\) |
0.879530 | + | 0.475843i | \(0.157857\pi\) | |||||||
\(998\) | 14.2338 | + | 8.21788i | 0.450563 | + | 0.260132i | ||||
\(999\) | 2.61971 | + | 9.77690i | 0.0828841 | + | 0.309328i |
(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 | 273.2.by.c.97.3 | yes | 32 | |
3.2 | odd | 2 | 819.2.fm.f.370.6 | 32 | |||
7.6 | odd | 2 | 273.2.by.d.97.3 | yes | 32 | ||
13.11 | odd | 12 | 273.2.by.d.76.3 | yes | 32 | ||
21.20 | even | 2 | 819.2.fm.e.370.6 | 32 | |||
39.11 | even | 12 | 819.2.fm.e.622.6 | 32 | |||
91.76 | even | 12 | inner | 273.2.by.c.76.3 | ✓ | 32 | |
273.167 | odd | 12 | 819.2.fm.f.622.6 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.by.c.76.3 | ✓ | 32 | 91.76 | even | 12 | inner | |
273.2.by.c.97.3 | yes | 32 | 1.1 | even | 1 | trivial | |
273.2.by.d.76.3 | yes | 32 | 13.11 | odd | 12 | ||
273.2.by.d.97.3 | yes | 32 | 7.6 | odd | 2 | ||
819.2.fm.e.370.6 | 32 | 21.20 | even | 2 | |||
819.2.fm.e.622.6 | 32 | 39.11 | even | 12 | |||
819.2.fm.f.370.6 | 32 | 3.2 | odd | 2 | |||
819.2.fm.f.622.6 | 32 | 273.167 | odd | 12 |