Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [273,2,Mod(272,273)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(273, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("273.272");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 273 = 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 273.g (of order \(2\), degree \(1\), 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: | \(32\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 272.3 | ||
Character | \(\chi\) | \(=\) | 273.272 |
Dual form | 273.2.g.a.272.4 |
$q$-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 \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(106\) | \(157\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.35085 | −1.66230 | −0.831152 | − | 0.556045i | \(-0.812318\pi\) | ||||
−0.831152 | + | 0.556045i | \(0.812318\pi\) | |||||||
\(3\) | 0.813690 | − | 1.52902i | 0.469784 | − | 0.882781i | ||||
\(4\) | 3.52651 | 1.76326 | ||||||||
\(5\) | − | 0.514868i | − | 0.230256i | −0.993351 | − | 0.115128i | \(-0.963272\pi\) | ||
0.993351 | − | 0.115128i | \(-0.0367278\pi\) | |||||||
\(6\) | −1.91287 | + | 3.59451i | −0.780925 | + | 1.46745i | ||||
\(7\) | 1.49028 | − | 2.18611i | 0.563271 | − | 0.826272i | ||||
\(8\) | −3.58861 | −1.26877 | ||||||||
\(9\) | −1.67582 | − | 2.48830i | −0.558606 | − | 0.829433i | ||||
\(10\) | 1.21038i | 0.382756i | ||||||||
\(11\) | 2.08851 | 0.629711 | 0.314855 | − | 0.949140i | \(-0.398044\pi\) | ||||
0.314855 | + | 0.949140i | \(0.398044\pi\) | |||||||
\(12\) | 2.86949 | − | 5.39212i | 0.828351 | − | 1.55657i | ||||
\(13\) | 2.92002 | + | 2.11506i | 0.809868 | + | 0.586613i | ||||
\(14\) | −3.50342 | + | 5.13923i | −0.936328 | + | 1.37352i | ||||
\(15\) | −0.787245 | − | 0.418943i | −0.203266 | − | 0.108171i | ||||
\(16\) | 1.38328 | 0.345819 | ||||||||
\(17\) | −0.359522 | −0.0871968 | −0.0435984 | − | 0.999049i | \(-0.513882\pi\) | ||||
−0.0435984 | + | 0.999049i | \(0.513882\pi\) | |||||||
\(18\) | 3.93960 | + | 5.84963i | 0.928573 | + | 1.37877i | ||||
\(19\) | −3.55174 | −0.814825 | −0.407412 | − | 0.913244i | \(-0.633569\pi\) | ||||
−0.407412 | + | 0.913244i | \(0.633569\pi\) | |||||||
\(20\) | − | 1.81569i | − | 0.406001i | ||||||
\(21\) | −2.12999 | − | 4.05748i | −0.464802 | − | 0.885415i | ||||
\(22\) | −4.90979 | −1.04677 | ||||||||
\(23\) | − | 1.93858i | − | 0.404223i | −0.979363 | − | 0.202111i | \(-0.935220\pi\) | ||
0.979363 | − | 0.202111i | \(-0.0647803\pi\) | |||||||
\(24\) | −2.92002 | + | 5.48707i | −0.596047 | + | 1.12004i | ||||
\(25\) | 4.73491 | 0.946982 | ||||||||
\(26\) | −6.86454 | − | 4.97220i | −1.34625 | − | 0.975129i | ||||
\(27\) | −5.16826 | + | 0.537655i | −0.994632 | + | 0.103472i | ||||
\(28\) | 5.25548 | − | 7.70935i | 0.993192 | − | 1.45693i | ||||
\(29\) | − | 8.77503i | − | 1.62948i | −0.579825 | − | 0.814741i | \(-0.696879\pi\) | ||
0.579825 | − | 0.814741i | \(-0.303121\pi\) | |||||||
\(30\) | 1.85070 | + | 0.984875i | 0.337890 | + | 0.179813i | ||||
\(31\) | −7.37747 | −1.32503 | −0.662517 | − | 0.749047i | \(-0.730512\pi\) | ||||
−0.662517 | + | 0.749047i | \(0.730512\pi\) | |||||||
\(32\) | 3.92534 | 0.693909 | ||||||||
\(33\) | 1.69940 | − | 3.19338i | 0.295828 | − | 0.555897i | ||||
\(34\) | 0.845183 | 0.144948 | ||||||||
\(35\) | −1.12556 | − | 0.767296i | −0.190254 | − | 0.129697i | ||||
\(36\) | −5.90979 | − | 8.77503i | −0.984965 | − | 1.46250i | ||||
\(37\) | − | 2.76971i | − | 0.455338i | −0.973739 | − | 0.227669i | \(-0.926890\pi\) | ||
0.973739 | − | 0.227669i | \(-0.0731104\pi\) | |||||||
\(38\) | 8.34962 | 1.35449 | ||||||||
\(39\) | 5.60997 | − | 2.74377i | 0.898314 | − | 0.439355i | ||||
\(40\) | 1.84766i | 0.292141i | ||||||||
\(41\) | − | 5.37332i | − | 0.839172i | −0.907716 | − | 0.419586i | \(-0.862175\pi\) | ||
0.907716 | − | 0.419586i | \(-0.137825\pi\) | |||||||
\(42\) | 5.00729 | + | 9.53854i | 0.772642 | + | 1.47183i | ||||
\(43\) | −0.383277 | −0.0584492 | −0.0292246 | − | 0.999573i | \(-0.509304\pi\) | ||||
−0.0292246 | + | 0.999573i | \(0.509304\pi\) | |||||||
\(44\) | 7.36518 | 1.11034 | ||||||||
\(45\) | −1.28115 | + | 0.862825i | −0.190982 | + | 0.128622i | ||||
\(46\) | 4.55733i | 0.671941i | ||||||||
\(47\) | 6.90164i | 1.00671i | 0.864081 | + | 0.503354i | \(0.167901\pi\) | ||||
−0.864081 | + | 0.503354i | \(0.832099\pi\) | |||||||
\(48\) | 1.12556 | − | 2.11506i | 0.162460 | − | 0.305283i | ||||
\(49\) | −2.55816 | − | 6.51581i | −0.365451 | − | 0.930830i | ||||
\(50\) | −11.1311 | −1.57417 | ||||||||
\(51\) | −0.292539 | + | 0.549717i | −0.0409637 | + | 0.0769757i | ||||
\(52\) | 10.2975 | + | 7.45880i | 1.42801 | + | 1.03435i | ||||
\(53\) | 9.21019i | 1.26512i | 0.774513 | + | 0.632558i | \(0.217995\pi\) | ||||
−0.774513 | + | 0.632558i | \(0.782005\pi\) | |||||||
\(54\) | 12.1498 | − | 1.26395i | 1.65338 | − | 0.172002i | ||||
\(55\) | − | 1.07531i | − | 0.144995i | ||||||
\(56\) | −5.34802 | + | 7.84511i | −0.714660 | + | 1.04835i | ||||
\(57\) | −2.89002 | + | 5.43069i | −0.382792 | + | 0.719312i | ||||
\(58\) | 20.6288i | 2.70870i | ||||||||
\(59\) | − | 1.01344i | − | 0.131939i | −0.997822 | − | 0.0659696i | \(-0.978986\pi\) | ||
0.997822 | − | 0.0659696i | \(-0.0210140\pi\) | |||||||
\(60\) | −2.77623 | − | 1.47741i | −0.358410 | − | 0.190733i | ||||
\(61\) | 10.7842i | 1.38078i | 0.723437 | + | 0.690390i | \(0.242561\pi\) | ||||
−0.723437 | + | 0.690390i | \(0.757439\pi\) | |||||||
\(62\) | 17.3434 | 2.20261 | ||||||||
\(63\) | −7.93713 | − | 0.0447322i | −0.999984 | − | 0.00563572i | ||||
\(64\) | −11.9945 | −1.49931 | ||||||||
\(65\) | 1.08898 | − | 1.50343i | 0.135071 | − | 0.186477i | ||||
\(66\) | −3.99505 | + | 7.50718i | −0.491757 | + | 0.924070i | ||||
\(67\) | − | 3.71944i | − | 0.454402i | −0.973848 | − | 0.227201i | \(-0.927043\pi\) | ||
0.973848 | − | 0.227201i | \(-0.0729574\pi\) | |||||||
\(68\) | −1.26786 | −0.153750 | ||||||||
\(69\) | −2.96414 | − | 1.57741i | −0.356840 | − | 0.189897i | ||||
\(70\) | 2.64603 | + | 1.80380i | 0.316261 | + | 0.215595i | ||||
\(71\) | 2.79049 | 0.331170 | 0.165585 | − | 0.986196i | \(-0.447049\pi\) | ||||
0.165585 | + | 0.986196i | \(0.447049\pi\) | |||||||
\(72\) | 6.01386 | + | 8.92955i | 0.708740 | + | 1.05236i | ||||
\(73\) | 6.83815 | 0.800345 | 0.400173 | − | 0.916440i | \(-0.368950\pi\) | ||||
0.400173 | + | 0.916440i | \(0.368950\pi\) | |||||||
\(74\) | 6.51119i | 0.756911i | ||||||||
\(75\) | 3.85275 | − | 7.23978i | 0.444877 | − | 0.835978i | ||||
\(76\) | −12.5253 | −1.43675 | ||||||||
\(77\) | 3.11246 | − | 4.56572i | 0.354698 | − | 0.520312i | ||||
\(78\) | −13.1882 | + | 6.45020i | −1.49327 | + | 0.730342i | ||||
\(79\) | 9.78607 | 1.10102 | 0.550509 | − | 0.834829i | \(-0.314433\pi\) | ||||
0.550509 | + | 0.834829i | \(0.314433\pi\) | |||||||
\(80\) | − | 0.712206i | − | 0.0796270i | ||||||
\(81\) | −3.38328 | + | 8.33987i | −0.375920 | + | 0.926652i | ||||
\(82\) | 12.6319i | 1.39496i | ||||||||
\(83\) | 14.8929i | 1.63471i | 0.576136 | + | 0.817354i | \(0.304560\pi\) | ||||
−0.576136 | + | 0.817354i | \(0.695440\pi\) | |||||||
\(84\) | −7.51144 | − | 14.3088i | −0.819565 | − | 1.56121i | ||||
\(85\) | 0.185106i | 0.0200776i | ||||||||
\(86\) | 0.901029 | 0.0971605 | ||||||||
\(87\) | −13.4172 | − | 7.14015i | −1.43848 | − | 0.765505i | ||||
\(88\) | −7.49487 | −0.798956 | ||||||||
\(89\) | 15.0466i | 1.59494i | 0.603358 | + | 0.797470i | \(0.293829\pi\) | ||||
−0.603358 | + | 0.797470i | \(0.706171\pi\) | |||||||
\(90\) | 3.01179 | − | 2.02838i | 0.317471 | − | 0.213810i | ||||
\(91\) | 8.97539 | − | 3.23146i | 0.940877 | − | 0.338749i | ||||
\(92\) | − | 6.83644i | − | 0.712749i | ||||||
\(93\) | −6.00298 | + | 11.2803i | −0.622480 | + | 1.16971i | ||||
\(94\) | − | 16.2247i | − | 1.67345i | ||||||
\(95\) | 1.82868i | 0.187618i | ||||||||
\(96\) | 3.19401 | − | 6.00194i | 0.325988 | − | 0.612570i | ||||
\(97\) | 8.34372 | 0.847176 | 0.423588 | − | 0.905855i | \(-0.360770\pi\) | ||||
0.423588 | + | 0.905855i | \(0.360770\pi\) | |||||||
\(98\) | 6.01386 | + | 15.3177i | 0.607491 | + | 1.54732i | ||||
\(99\) | −3.49997 | − | 5.19685i | −0.351760 | − | 0.522303i | ||||
\(100\) | 16.6977 | 1.66977 | ||||||||
\(101\) | 16.8574 | 1.67738 | 0.838688 | − | 0.544612i | \(-0.183323\pi\) | ||||
0.838688 | + | 0.544612i | \(0.183323\pi\) | |||||||
\(102\) | 0.687717 | − | 1.29230i | 0.0680941 | − | 0.127957i | ||||
\(103\) | − | 3.69533i | − | 0.364111i | −0.983288 | − | 0.182056i | \(-0.941725\pi\) | ||
0.983288 | − | 0.182056i | \(-0.0582751\pi\) | |||||||
\(104\) | −10.4788 | − | 7.59014i | −1.02753 | − | 0.744274i | ||||
\(105\) | −2.08907 | + | 1.09666i | −0.203872 | + | 0.107023i | ||||
\(106\) | − | 21.6518i | − | 2.10301i | ||||||
\(107\) | − | 13.7205i | − | 1.32641i | −0.748439 | − | 0.663204i | \(-0.769196\pi\) | ||
0.748439 | − | 0.663204i | \(-0.230804\pi\) | |||||||
\(108\) | −18.2260 | + | 1.89605i | −1.75379 | + | 0.182447i | ||||
\(109\) | − | 10.8614i | − | 1.04033i | −0.854065 | − | 0.520166i | \(-0.825870\pi\) | ||
0.854065 | − | 0.520166i | \(-0.174130\pi\) | |||||||
\(110\) | 2.52790i | 0.241025i | ||||||||
\(111\) | −4.23495 | − | 2.25369i | −0.401964 | − | 0.213911i | ||||
\(112\) | 2.06146 | − | 3.02400i | 0.194790 | − | 0.285741i | ||||
\(113\) | 13.7516i | 1.29364i | 0.762641 | + | 0.646822i | \(0.223902\pi\) | ||||
−0.762641 | + | 0.646822i | \(0.776098\pi\) | |||||||
\(114\) | 6.79400 | − | 12.7668i | 0.636317 | − | 1.19572i | ||||
\(115\) | −0.998115 | −0.0930747 | ||||||||
\(116\) | − | 30.9453i | − | 2.87320i | ||||||
\(117\) | 0.369491 | − | 10.8103i | 0.0341594 | − | 0.999416i | ||||
\(118\) | 2.38246i | 0.219323i | ||||||||
\(119\) | −0.535786 | + | 0.785954i | −0.0491155 | + | 0.0720483i | ||||
\(120\) | 2.82512 | + | 1.50343i | 0.257897 | + | 0.137243i | ||||
\(121\) | −6.63811 | −0.603464 | ||||||||
\(122\) | − | 25.3522i | − | 2.29528i | ||||||
\(123\) | −8.21593 | − | 4.37222i | −0.740806 | − | 0.394230i | ||||
\(124\) | −26.0168 | −2.33637 | ||||||||
\(125\) | − | 5.01220i | − | 0.448305i | ||||||
\(126\) | 18.6590 | + | 0.105159i | 1.66228 | + | 0.00936829i | ||||
\(127\) | 8.11819 | 0.720373 | 0.360186 | − | 0.932880i | \(-0.382713\pi\) | ||||
0.360186 | + | 0.932880i | \(0.382713\pi\) | |||||||
\(128\) | 20.3466 | 1.79840 | ||||||||
\(129\) | −0.311869 | + | 0.586039i | −0.0274585 | + | 0.0515979i | ||||
\(130\) | −2.56003 | + | 3.53433i | −0.224529 | + | 0.309982i | ||||
\(131\) | −16.9323 | −1.47939 | −0.739693 | − | 0.672945i | \(-0.765029\pi\) | ||||
−0.739693 | + | 0.672945i | \(0.765029\pi\) | |||||||
\(132\) | 5.99297 | − | 11.2615i | 0.521621 | − | 0.980189i | ||||
\(133\) | −5.29307 | + | 7.76450i | −0.458967 | + | 0.673267i | ||||
\(134\) | 8.74386i | 0.755355i | ||||||||
\(135\) | 0.276822 | + | 2.66097i | 0.0238250 | + | 0.229020i | ||||
\(136\) | 1.29018 | 0.110632 | ||||||||
\(137\) | 9.93920 | 0.849163 | 0.424582 | − | 0.905390i | \(-0.360421\pi\) | ||||
0.424582 | + | 0.905390i | \(0.360421\pi\) | |||||||
\(138\) | 6.96825 | + | 3.70825i | 0.593177 | + | 0.315667i | ||||
\(139\) | − | 1.24868i | − | 0.105912i | −0.998597 | − | 0.0529559i | \(-0.983136\pi\) | ||
0.998597 | − | 0.0529559i | \(-0.0168643\pi\) | |||||||
\(140\) | −3.96930 | − | 2.70588i | −0.335467 | − | 0.228689i | ||||
\(141\) | 10.5528 | + | 5.61579i | 0.888702 | + | 0.472935i | ||||
\(142\) | −6.56003 | −0.550505 | ||||||||
\(143\) | 6.09850 | + | 4.41734i | 0.509982 | + | 0.369396i | ||||
\(144\) | −2.31812 | − | 3.44201i | −0.193177 | − | 0.286834i | ||||
\(145\) | −4.51798 | −0.375198 | ||||||||
\(146\) | −16.0755 | −1.33042 | ||||||||
\(147\) | −12.0444 | − | 1.39037i | −0.993403 | − | 0.114676i | ||||
\(148\) | − | 9.76744i | − | 0.802878i | ||||||
\(149\) | −14.5206 | −1.18958 | −0.594789 | − | 0.803882i | \(-0.702764\pi\) | ||||
−0.594789 | + | 0.803882i | \(0.702764\pi\) | |||||||
\(150\) | −9.05725 | + | 17.0197i | −0.739522 | + | 1.38965i | ||||
\(151\) | − | 3.27828i | − | 0.266783i | −0.991063 | − | 0.133391i | \(-0.957413\pi\) | ||
0.991063 | − | 0.133391i | \(-0.0425867\pi\) | |||||||
\(152\) | 12.7458 | 1.03382 | ||||||||
\(153\) | 0.602492 | + | 0.894598i | 0.0487086 | + | 0.0723240i | ||||
\(154\) | −7.31694 | + | 10.7333i | −0.589616 | + | 0.864918i | ||||
\(155\) | 3.79843i | 0.305097i | ||||||||
\(156\) | 19.7836 | − | 9.67594i | 1.58396 | − | 0.774696i | ||||
\(157\) | 17.9756i | 1.43461i | 0.696758 | + | 0.717306i | \(0.254625\pi\) | ||||
−0.696758 | + | 0.717306i | \(0.745375\pi\) | |||||||
\(158\) | −23.0056 | −1.83023 | ||||||||
\(159\) | 14.0826 | + | 7.49424i | 1.11682 | + | 0.594332i | ||||
\(160\) | − | 2.02104i | − | 0.159777i | ||||||
\(161\) | −4.23796 | − | 2.88902i | −0.333998 | − | 0.227687i | ||||
\(162\) | 7.95359 | − | 19.6058i | 0.624893 | − | 1.54038i | ||||
\(163\) | 16.4417i | 1.28781i | 0.765104 | + | 0.643907i | \(0.222687\pi\) | ||||
−0.765104 | + | 0.643907i | \(0.777313\pi\) | |||||||
\(164\) | − | 18.9491i | − | 1.47968i | ||||||
\(165\) | −1.64417 | − | 0.874969i | −0.127999 | − | 0.0681163i | ||||
\(166\) | − | 35.0110i | − | 2.71738i | ||||||
\(167\) | − | 11.5628i | − | 0.894753i | −0.894346 | − | 0.447376i | \(-0.852358\pi\) | ||
0.894346 | − | 0.447376i | \(-0.147642\pi\) | |||||||
\(168\) | 7.64371 | + | 14.5607i | 0.589725 | + | 1.12338i | ||||
\(169\) | 4.05303 | + | 12.3520i | 0.311772 | + | 0.950157i | ||||
\(170\) | − | 0.435158i | − | 0.0333751i | ||||||
\(171\) | 5.95206 | + | 8.83779i | 0.455166 | + | 0.675843i | ||||
\(172\) | −1.35163 | −0.103061 | ||||||||
\(173\) | 12.6080 | 0.958570 | 0.479285 | − | 0.877659i | \(-0.340896\pi\) | ||||
0.479285 | + | 0.877659i | \(0.340896\pi\) | |||||||
\(174\) | 31.5419 | + | 16.7855i | 2.39119 | + | 1.27250i | ||||
\(175\) | 7.05632 | − | 10.3510i | 0.533408 | − | 0.782465i | ||||
\(176\) | 2.88899 | 0.217766 | ||||||||
\(177\) | −1.54958 | − | 0.824630i | −0.116473 | − | 0.0619830i | ||||
\(178\) | − | 35.3725i | − | 2.65128i | ||||||
\(179\) | 11.4566i | 0.856309i | 0.903706 | + | 0.428154i | \(0.140836\pi\) | ||||
−0.903706 | + | 0.428154i | \(0.859164\pi\) | |||||||
\(180\) | −4.51798 | + | 3.04277i | −0.336751 | + | 0.226794i | ||||
\(181\) | 6.85014i | 0.509167i | 0.967051 | + | 0.254583i | \(0.0819384\pi\) | ||||
−0.967051 | + | 0.254583i | \(0.918062\pi\) | |||||||
\(182\) | −21.0998 | + | 7.59670i | −1.56402 | + | 0.563105i | ||||
\(183\) | 16.4893 | + | 8.77503i | 1.21893 | + | 0.648669i | ||||
\(184\) | 6.95683i | 0.512864i | ||||||||
\(185\) | −1.42604 | −0.104844 | ||||||||
\(186\) | 14.1121 | − | 26.5184i | 1.03475 | − | 1.94442i | ||||
\(187\) | −0.750866 | −0.0549088 | ||||||||
\(188\) | 24.3387i | 1.77508i | ||||||||
\(189\) | −6.52676 | + | 12.0996i | −0.474752 | + | 0.880120i | ||||
\(190\) | − | 4.29896i | − | 0.311879i | ||||||
\(191\) | − | 4.65135i | − | 0.336560i | −0.985739 | − | 0.168280i | \(-0.946179\pi\) | ||
0.985739 | − | 0.168280i | \(-0.0538212\pi\) | |||||||
\(192\) | −9.75978 | + | 18.3398i | −0.704351 | + | 1.32356i | ||||
\(193\) | 9.76744i | 0.703075i | 0.936174 | + | 0.351538i | \(0.114341\pi\) | ||||
−0.936174 | + | 0.351538i | \(0.885659\pi\) | |||||||
\(194\) | −19.6149 | −1.40827 | ||||||||
\(195\) | −1.41268 | − | 2.88839i | −0.101164 | − | 0.206842i | ||||
\(196\) | −9.02139 | − | 22.9781i | −0.644385 | − | 1.64129i | ||||
\(197\) | 20.0181 | 1.42623 | 0.713116 | − | 0.701046i | \(-0.247283\pi\) | ||||
0.713116 | + | 0.701046i | \(0.247283\pi\) | |||||||
\(198\) | 8.22791 | + | 12.2170i | 0.584732 | + | 0.868227i | ||||
\(199\) | − | 16.0897i | − | 1.14057i | −0.821448 | − | 0.570283i | \(-0.806833\pi\) | ||
0.821448 | − | 0.570283i | \(-0.193167\pi\) | |||||||
\(200\) | −16.9918 | −1.20150 | ||||||||
\(201\) | −5.68711 | − | 3.02647i | −0.401138 | − | 0.213471i | ||||
\(202\) | −39.6293 | −2.78831 | ||||||||
\(203\) | −19.1832 | − | 13.0772i | −1.34640 | − | 0.917840i | ||||
\(204\) | −1.03164 | + | 1.93858i | −0.0722295 | + | 0.135728i | ||||
\(205\) | −2.76655 | −0.193225 | ||||||||
\(206\) | 8.68718i | 0.605264i | ||||||||
\(207\) | −4.82378 | + | 3.24871i | −0.335276 | + | 0.225801i | ||||
\(208\) | 4.03920 | + | 2.92572i | 0.280068 | + | 0.202862i | ||||
\(209\) | −7.41786 | −0.513104 | ||||||||
\(210\) | 4.91109 | − | 2.57810i | 0.338898 | − | 0.177906i | ||||
\(211\) | 7.13770 | 0.491380 | 0.245690 | − | 0.969348i | \(-0.420986\pi\) | ||||
0.245690 | + | 0.969348i | \(0.420986\pi\) | |||||||
\(212\) | 32.4799i | 2.23073i | ||||||||
\(213\) | 2.27059 | − | 4.26672i | 0.155578 | − | 0.292351i | ||||
\(214\) | 32.2548i | 2.20489i | ||||||||
\(215\) | 0.197337i | 0.0134583i | ||||||||
\(216\) | 18.5469 | − | 1.92944i | 1.26196 | − | 0.131281i | ||||
\(217\) | −10.9945 | + | 16.1280i | −0.746353 | + | 1.09484i | ||||
\(218\) | 25.5335i | 1.72935i | ||||||||
\(219\) | 5.56414 | − | 10.4557i | 0.375990 | − | 0.706530i | ||||
\(220\) | − | 3.79210i | − | 0.255663i | ||||||
\(221\) | −1.04981 | − | 0.760411i | −0.0706179 | − | 0.0511507i | ||||
\(222\) | 9.95576 | + | 5.29809i | 0.668187 | + | 0.355585i | ||||
\(223\) | −13.7655 | −0.921806 | −0.460903 | − | 0.887450i | \(-0.652474\pi\) | ||||
−0.460903 | + | 0.887450i | \(0.652474\pi\) | |||||||
\(224\) | 5.84984 | − | 8.58124i | 0.390859 | − | 0.573358i | ||||
\(225\) | −7.93484 | − | 11.7819i | −0.528989 | − | 0.785459i | ||||
\(226\) | − | 32.3281i | − | 2.15043i | ||||||
\(227\) | − | 16.6621i | − | 1.10591i | −0.833213 | − | 0.552953i | \(-0.813501\pi\) | ||
0.833213 | − | 0.552953i | \(-0.186499\pi\) | |||||||
\(228\) | −10.1917 | + | 19.1514i | −0.674961 | + | 1.26833i | ||||
\(229\) | 24.1786 | 1.59777 | 0.798883 | − | 0.601486i | \(-0.205424\pi\) | ||||
0.798883 | + | 0.601486i | \(0.205424\pi\) | |||||||
\(230\) | 2.34642 | 0.154719 | ||||||||
\(231\) | −4.44851 | − | 8.47411i | −0.292691 | − | 0.557555i | ||||
\(232\) | 31.4902i | 2.06743i | ||||||||
\(233\) | 6.58993i | 0.431721i | 0.976424 | + | 0.215860i | \(0.0692556\pi\) | ||||
−0.976424 | + | 0.215860i | \(0.930744\pi\) | |||||||
\(234\) | −0.868619 | + | 25.4135i | −0.0567834 | + | 1.66133i | ||||
\(235\) | 3.55343 | 0.231801 | ||||||||
\(236\) | − | 3.57393i | − | 0.232643i | ||||||
\(237\) | 7.96283 | − | 14.9631i | 0.517241 | − | 0.971959i | ||||
\(238\) | 1.25956 | − | 1.84766i | 0.0816449 | − | 0.119766i | ||||
\(239\) | −5.44285 | −0.352069 | −0.176034 | − | 0.984384i | \(-0.556327\pi\) | ||||
−0.176034 | + | 0.984384i | \(0.556327\pi\) | |||||||
\(240\) | −1.08898 | − | 0.579515i | −0.0702932 | − | 0.0374075i | ||||
\(241\) | −1.44312 | −0.0929593 | −0.0464797 | − | 0.998919i | \(-0.514800\pi\) | ||||
−0.0464797 | + | 0.998919i | \(0.514800\pi\) | |||||||
\(242\) | 15.6052 | 1.00314 | ||||||||
\(243\) | 9.99891 | + | 11.9592i | 0.641430 | + | 0.767181i | ||||
\(244\) | 38.0308i | 2.43467i | ||||||||
\(245\) | −3.35479 | + | 1.31712i | −0.214329 | + | 0.0841474i | ||||
\(246\) | 19.3145 | + | 10.2785i | 1.23144 | + | 0.655330i | ||||
\(247\) | −10.3711 | − | 7.51215i | −0.659900 | − | 0.477986i | ||||
\(248\) | 26.4749 | 1.68116 | ||||||||
\(249\) | 22.7716 | + | 12.1182i | 1.44309 | + | 0.767960i | ||||
\(250\) | 11.7829i | 0.745219i | ||||||||
\(251\) | 28.3665 | 1.79048 | 0.895239 | − | 0.445587i | \(-0.147005\pi\) | ||||
0.895239 | + | 0.445587i | \(0.147005\pi\) | |||||||
\(252\) | −27.9904 | − | 0.157749i | −1.76323 | − | 0.00993723i | ||||
\(253\) | − | 4.04876i | − | 0.254543i | ||||||
\(254\) | −19.0847 | −1.19748 | ||||||||
\(255\) | 0.283032 | + | 0.150619i | 0.0177241 | + | 0.00943214i | ||||
\(256\) | −23.8428 | −1.49018 | ||||||||
\(257\) | −23.8529 | −1.48790 | −0.743951 | − | 0.668234i | \(-0.767050\pi\) | ||||
−0.743951 | + | 0.668234i | \(0.767050\pi\) | |||||||
\(258\) | 0.733159 | − | 1.37769i | 0.0456445 | − | 0.0857714i | ||||
\(259\) | −6.05490 | − | 4.12764i | −0.376233 | − | 0.256479i | ||||
\(260\) | 3.84030 | − | 5.30185i | 0.238165 | − | 0.328807i | ||||
\(261\) | −21.8349 | + | 14.7053i | −1.35155 | + | 0.910238i | ||||
\(262\) | 39.8055 | 2.45919 | ||||||||
\(263\) | − | 15.1763i | − | 0.935812i | −0.883778 | − | 0.467906i | \(-0.845009\pi\) | ||
0.883778 | − | 0.467906i | \(-0.154991\pi\) | |||||||
\(264\) | −6.09850 | + | 11.4598i | −0.375337 | + | 0.705303i | ||||
\(265\) | 4.74203 | 0.291301 | ||||||||
\(266\) | 12.4432 | − | 18.2532i | 0.762944 | − | 1.11918i | ||||
\(267\) | 23.0066 | + | 12.2433i | 1.40798 | + | 0.749278i | ||||
\(268\) | − | 13.1167i | − | 0.801228i | ||||||
\(269\) | −16.6681 | −1.01627 | −0.508137 | − | 0.861276i | \(-0.669666\pi\) | ||||
−0.508137 | + | 0.861276i | \(0.669666\pi\) | |||||||
\(270\) | −0.650767 | − | 6.25556i | −0.0396044 | − | 0.380701i | ||||
\(271\) | 1.41125 | 0.0857271 | 0.0428636 | − | 0.999081i | \(-0.486352\pi\) | ||||
0.0428636 | + | 0.999081i | \(0.486352\pi\) | |||||||
\(272\) | −0.497318 | −0.0301543 | ||||||||
\(273\) | 2.36221 | − | 16.3530i | 0.142968 | − | 0.989727i | ||||
\(274\) | −23.3656 | −1.41157 | ||||||||
\(275\) | 9.88893 | 0.596325 | ||||||||
\(276\) | −10.4531 | − | 5.56275i | −0.629201 | − | 0.334838i | ||||
\(277\) | −2.02977 | −0.121957 | −0.0609787 | − | 0.998139i | \(-0.519422\pi\) | ||||
−0.0609787 | + | 0.998139i | \(0.519422\pi\) | |||||||
\(278\) | 2.93547i | 0.176058i | ||||||||
\(279\) | 12.3633 | + | 18.3574i | 0.740171 | + | 1.09903i | ||||
\(280\) | 4.03920 | + | 2.75353i | 0.241388 | + | 0.164555i | ||||
\(281\) | 15.9966 | 0.954279 | 0.477139 | − | 0.878828i | \(-0.341674\pi\) | ||||
0.477139 | + | 0.878828i | \(0.341674\pi\) | |||||||
\(282\) | −24.8080 | − | 13.2019i | −1.47729 | − | 0.786162i | ||||
\(283\) | 30.3700i | 1.80531i | 0.430367 | + | 0.902654i | \(0.358384\pi\) | ||||
−0.430367 | + | 0.902654i | \(0.641616\pi\) | |||||||
\(284\) | 9.84070 | 0.583938 | ||||||||
\(285\) | 2.79609 | + | 1.48798i | 0.165626 | + | 0.0881402i | ||||
\(286\) | −14.3367 | − | 10.3845i | −0.847746 | − | 0.614049i | ||||
\(287\) | −11.7467 | − | 8.00773i | −0.693385 | − | 0.472682i | ||||
\(288\) | −6.57816 | − | 9.76744i | −0.387622 | − | 0.575552i | ||||
\(289\) | −16.8707 | −0.992397 | ||||||||
\(290\) | 10.6211 | 0.623694 | ||||||||
\(291\) | 6.78920 | − | 12.7577i | 0.397990 | − | 0.747871i | ||||
\(292\) | 24.1149 | 1.41122 | ||||||||
\(293\) | − | 24.4561i | − | 1.42874i | −0.699769 | − | 0.714369i | \(-0.746714\pi\) | ||
0.699769 | − | 0.714369i | \(-0.253286\pi\) | |||||||
\(294\) | 28.3146 | + | 3.26856i | 1.65134 | + | 0.190626i | ||||
\(295\) | −0.521790 | −0.0303798 | ||||||||
\(296\) | 9.93943i | 0.577718i | ||||||||
\(297\) | −10.7940 | + | 1.12290i | −0.626331 | + | 0.0651573i | ||||
\(298\) | 34.1359 | 1.97744 | ||||||||
\(299\) | 4.10022 | − | 5.66070i | 0.237122 | − | 0.327367i | ||||
\(300\) | 13.5868 | − | 25.5312i | 0.784433 | − | 1.47404i | ||||
\(301\) | −0.571189 | + | 0.837887i | −0.0329228 | + | 0.0482950i | ||||
\(302\) | 7.70676i | 0.443474i | ||||||||
\(303\) | 13.7167 | − | 25.7754i | 0.788005 | − | 1.48076i | ||||
\(304\) | −4.91304 | −0.281782 | ||||||||
\(305\) | 5.55246 | 0.317933 | ||||||||
\(306\) | −1.41637 | − | 2.10307i | −0.0809686 | − | 0.120224i | ||||
\(307\) | −9.83678 | −0.561415 | −0.280707 | − | 0.959793i | \(-0.590569\pi\) | ||||
−0.280707 | + | 0.959793i | \(0.590569\pi\) | |||||||
\(308\) | 10.9761 | − | 16.1011i | 0.625424 | − | 0.917445i | ||||
\(309\) | −5.65024 | − | 3.00685i | −0.321431 | − | 0.171054i | ||||
\(310\) | − | 8.92955i | − | 0.507164i | ||||||
\(311\) | −21.5814 | −1.22377 | −0.611884 | − | 0.790948i | \(-0.709588\pi\) | ||||
−0.611884 | + | 0.790948i | \(0.709588\pi\) | |||||||
\(312\) | −20.1320 | + | 9.84633i | −1.13975 | + | 0.557439i | ||||
\(313\) | − | 9.13704i | − | 0.516456i | −0.966084 | − | 0.258228i | \(-0.916861\pi\) | ||
0.966084 | − | 0.258228i | \(-0.0831386\pi\) | |||||||
\(314\) | − | 42.2581i | − | 2.38476i | ||||||
\(315\) | −0.0230312 | + | 4.08658i | −0.00129766 | + | 0.230252i | ||||
\(316\) | 34.5107 | 1.94138 | ||||||||
\(317\) | −0.763354 | −0.0428743 | −0.0214371 | − | 0.999770i | \(-0.506824\pi\) | ||||
−0.0214371 | + | 0.999770i | \(0.506824\pi\) | |||||||
\(318\) | −33.1061 | − | 17.6179i | −1.85650 | − | 0.987961i | ||||
\(319\) | − | 18.3268i | − | 1.02610i | ||||||
\(320\) | 6.17557i | 0.345225i | ||||||||
\(321\) | −20.9789 | − | 11.1642i | −1.17093 | − | 0.623125i | ||||
\(322\) | 9.96282 | + | 6.79167i | 0.555206 | + | 0.378485i | ||||
\(323\) | 1.27693 | 0.0710501 | ||||||||
\(324\) | −11.9312 | + | 29.4107i | −0.662843 | + | 1.63393i | ||||
\(325\) | 13.8260 | + | 10.0146i | 0.766930 | + | 0.555512i | ||||
\(326\) | − | 38.6520i | − | 2.14074i | ||||||
\(327\) | −16.6073 | − | 8.83779i | −0.918385 | − | 0.488731i | ||||
\(328\) | 19.2828i | 1.06471i | ||||||||
\(329\) | 15.0877 | + | 10.2853i | 0.831814 | + | 0.567049i | ||||
\(330\) | 3.86521 | + | 2.05692i | 0.212773 | + | 0.113230i | ||||
\(331\) | 6.95683i | 0.382382i | 0.981553 | + | 0.191191i | \(0.0612350\pi\) | ||||
−0.981553 | + | 0.191191i | \(0.938765\pi\) | |||||||
\(332\) | 52.5200i | 2.88241i | ||||||||
\(333\) | −6.89188 | + | 4.64153i | −0.377673 | + | 0.254354i | ||||
\(334\) | 27.1824i | 1.48735i | ||||||||
\(335\) | −1.91502 | −0.104629 | ||||||||
\(336\) | −2.94637 | − | 5.61262i | −0.160737 | − | 0.306194i | ||||
\(337\) | 14.6708 | 0.799170 | 0.399585 | − | 0.916696i | \(-0.369154\pi\) | ||||
0.399585 | + | 0.916696i | \(0.369154\pi\) | |||||||
\(338\) | −9.52808 | − | 29.0378i | −0.518259 | − | 1.57945i | ||||
\(339\) | 21.0265 | + | 11.1896i | 1.14201 | + | 0.607734i | ||||
\(340\) | 0.652780i | 0.0354020i | ||||||||
\(341\) | −15.4080 | −0.834388 | ||||||||
\(342\) | −13.9924 | − | 20.7764i | −0.756624 | − | 1.12346i | ||||
\(343\) | −18.0566 | − | 4.11794i | −0.974967 | − | 0.222348i | ||||
\(344\) | 1.37543 | 0.0741584 | ||||||||
\(345\) | −0.812157 | + | 1.52614i | −0.0437250 | + | 0.0821646i | ||||
\(346\) | −29.6396 | −1.59344 | ||||||||
\(347\) | 27.1157i | 1.45565i | 0.685765 | + | 0.727823i | \(0.259468\pi\) | ||||
−0.685765 | + | 0.727823i | \(0.740532\pi\) | |||||||
\(348\) | −47.3160 | − | 25.1799i | −2.53640 | − | 1.34978i | ||||
\(349\) | −8.10159 | −0.433668 | −0.216834 | − | 0.976208i | \(-0.569573\pi\) | ||||
−0.216834 | + | 0.976208i | \(0.569573\pi\) | |||||||
\(350\) | −16.5884 | + | 24.3338i | −0.886686 | + | 1.30070i | ||||
\(351\) | −16.2286 | − | 9.36123i | −0.866219 | − | 0.499665i | ||||
\(352\) | 8.19814 | 0.436962 | ||||||||
\(353\) | 25.1410i | 1.33812i | 0.743209 | + | 0.669059i | \(0.233303\pi\) | ||||
−0.743209 | + | 0.669059i | \(0.766697\pi\) | |||||||
\(354\) | 3.64283 | + | 1.93858i | 0.193614 | + | 0.103035i | ||||
\(355\) | − | 1.43673i | − | 0.0762539i | ||||||
\(356\) | 53.0622i | 2.81229i | ||||||||
\(357\) | 0.765777 | + | 1.45875i | 0.0405292 | + | 0.0772054i | ||||
\(358\) | − | 26.9329i | − | 1.42345i | ||||||
\(359\) | −6.28685 | −0.331807 | −0.165904 | − | 0.986142i | \(-0.553054\pi\) | ||||
−0.165904 | + | 0.986142i | \(0.553054\pi\) | |||||||
\(360\) | 4.59754 | − | 3.09635i | 0.242312 | − | 0.163192i | ||||
\(361\) | −6.38515 | −0.336060 | ||||||||
\(362\) | − | 16.1037i | − | 0.846391i | ||||||
\(363\) | −5.40136 | + | 10.1498i | −0.283498 | + | 0.532727i | ||||
\(364\) | 31.6519 | − | 11.3958i | 1.65901 | − | 0.597302i | ||||
\(365\) | − | 3.52075i | − | 0.184284i | ||||||
\(366\) | −38.7640 | − | 20.6288i | −2.02623 | − | 1.07829i | ||||
\(367\) | − | 22.3791i | − | 1.16818i | −0.811689 | − | 0.584091i | \(-0.801451\pi\) | ||
0.811689 | − | 0.584091i | \(-0.198549\pi\) | |||||||
\(368\) | − | 2.68160i | − | 0.139788i | ||||||
\(369\) | −13.3704 | + | 9.00471i | −0.696038 | + | 0.468766i | ||||
\(370\) | 3.35241 | 0.174283 | ||||||||
\(371\) | 20.1345 | + | 13.7257i | 1.04533 | + | 0.712604i | ||||
\(372\) | −21.1696 | + | 39.7802i | −1.09759 | + | 2.06251i | ||||
\(373\) | 27.3311 | 1.41515 | 0.707576 | − | 0.706637i | \(-0.249789\pi\) | ||||
0.707576 | + | 0.706637i | \(0.249789\pi\) | |||||||
\(374\) | 1.76518 | 0.0912751 | ||||||||
\(375\) | −7.66376 | − | 4.07838i | −0.395755 | − | 0.210606i | ||||
\(376\) | − | 24.7673i | − | 1.27728i | ||||||
\(377\) | 18.5597 | − | 25.6233i | 0.955874 | − | 1.31966i | ||||
\(378\) | 15.3435 | − | 28.4445i | 0.789182 | − | 1.46303i | ||||
\(379\) | 11.9962i | 0.616204i | 0.951353 | + | 0.308102i | \(0.0996938\pi\) | ||||
−0.951353 | + | 0.308102i | \(0.900306\pi\) | |||||||
\(380\) | 6.44886i | 0.330820i | ||||||||
\(381\) | 6.60569 | − | 12.4129i | 0.338420 | − | 0.635932i | ||||
\(382\) | 10.9346i | 0.559465i | ||||||||
\(383\) | 10.5766i | 0.540440i | 0.962799 | + | 0.270220i | \(0.0870964\pi\) | ||||
−0.962799 | + | 0.270220i | \(0.912904\pi\) | |||||||
\(384\) | 16.5558 | − | 31.1103i | 0.844859 | − | 1.58759i | ||||
\(385\) | −2.35075 | − | 1.60251i | −0.119805 | − | 0.0816714i | ||||
\(386\) | − | 22.9618i | − | 1.16873i | ||||||
\(387\) | 0.642303 | + | 0.953709i | 0.0326501 | + | 0.0484798i | ||||
\(388\) | 29.4242 | 1.49379 | ||||||||
\(389\) | 18.6357i | 0.944868i | 0.881366 | + | 0.472434i | \(0.156625\pi\) | ||||
−0.881366 | + | 0.472434i | \(0.843375\pi\) | |||||||
\(390\) | 3.32100 | + | 6.79019i | 0.168166 | + | 0.343835i | ||||
\(391\) | 0.696963i | 0.0352469i | ||||||||
\(392\) | 9.18024 | + | 23.3827i | 0.463672 | + | 1.18101i | ||||
\(393\) | −13.7777 | + | 25.8899i | −0.694992 | + | 1.30597i | ||||
\(394\) | −47.0597 | −2.37083 | ||||||||
\(395\) | − | 5.03854i | − | 0.253516i | ||||||
\(396\) | −12.3427 | − | 18.3268i | −0.620243 | − | 0.920955i | ||||
\(397\) | 13.1051 | 0.657727 | 0.328864 | − | 0.944377i | \(-0.393334\pi\) | ||||
0.328864 | + | 0.944377i | \(0.393334\pi\) | |||||||
\(398\) | 37.8245i | 1.89597i | ||||||||
\(399\) | 7.56517 | + | 14.4111i | 0.378732 | + | 0.721458i | ||||
\(400\) | 6.54969 | 0.327485 | ||||||||
\(401\) | 2.36431 | 0.118068 | 0.0590341 | − | 0.998256i | \(-0.481198\pi\) | ||||
0.0590341 | + | 0.998256i | \(0.481198\pi\) | |||||||
\(402\) | 13.3696 | + | 7.11480i | 0.666813 | + | 0.354854i | ||||
\(403\) | −21.5424 | − | 15.6038i | −1.07310 | − | 0.777281i | ||||
\(404\) | 59.4479 | 2.95765 | ||||||||
\(405\) | 4.29394 | + | 1.74194i | 0.213367 | + | 0.0865578i | ||||
\(406\) | 45.0969 | + | 30.7426i | 2.23812 | + | 1.52573i | ||||
\(407\) | − | 5.78459i | − | 0.286731i | ||||||
\(408\) | 1.04981 | − | 1.97272i | 0.0519734 | − | 0.0976642i | ||||
\(409\) | −23.0987 | −1.14216 | −0.571078 | − | 0.820896i | \(-0.693475\pi\) | ||||
−0.571078 | + | 0.820896i | \(0.693475\pi\) | |||||||
\(410\) | 6.50377 | 0.321198 | ||||||||
\(411\) | 8.08743 | − | 15.1973i | 0.398924 | − | 0.749626i | ||||
\(412\) | − | 13.0316i | − | 0.642022i | ||||||
\(413\) | −2.21550 | − | 1.51031i | −0.109018 | − | 0.0743175i | ||||
\(414\) | 11.3400 | − | 7.63725i | 0.557331 | − | 0.375350i | ||||
\(415\) | 7.66788 | 0.376402 | ||||||||
\(416\) | 11.4621 | + | 8.30234i | 0.561975 | + | 0.407056i | ||||
\(417\) | −1.90926 | − | 1.01604i | −0.0934970 | − | 0.0497557i | ||||
\(418\) | 17.4383 | 0.852935 | ||||||||
\(419\) | 5.80253 | 0.283472 | 0.141736 | − | 0.989904i | \(-0.454732\pi\) | ||||
0.141736 | + | 0.989904i | \(0.454732\pi\) | |||||||
\(420\) | −7.36713 | + | 3.86740i | −0.359479 | + | 0.188710i | ||||
\(421\) | 39.7670i | 1.93812i | 0.246820 | + | 0.969061i | \(0.420614\pi\) | ||||
−0.246820 | + | 0.969061i | \(0.579386\pi\) | |||||||
\(422\) | −16.7797 | −0.816823 | ||||||||
\(423\) | 17.1733 | − | 11.5659i | 0.834997 | − | 0.562352i | ||||
\(424\) | − | 33.0518i | − | 1.60514i | ||||||
\(425\) | −1.70230 | −0.0825738 | ||||||||
\(426\) | −5.33783 | + | 10.0304i | −0.258619 | + | 0.485976i | ||||
\(427\) | 23.5755 | + | 16.0715i | 1.14090 | + | 0.777754i | ||||
\(428\) | − | 48.3854i | − | 2.33880i | ||||||
\(429\) | 11.7165 | − | 5.73040i | 0.565678 | − | 0.276666i | ||||
\(430\) | − | 0.463911i | − | 0.0223718i | ||||||
\(431\) | −36.2007 | −1.74372 | −0.871862 | − | 0.489751i | \(-0.837088\pi\) | ||||
−0.871862 | + | 0.489751i | \(0.837088\pi\) | |||||||
\(432\) | −7.14914 | + | 0.743726i | −0.343963 | + | 0.0357825i | ||||
\(433\) | − | 1.61582i | − | 0.0776516i | −0.999246 | − | 0.0388258i | \(-0.987638\pi\) | ||
0.999246 | − | 0.0388258i | \(-0.0123617\pi\) | |||||||
\(434\) | 25.8464 | − | 37.9145i | 1.24067 | − | 1.81995i | ||||
\(435\) | −3.67624 | + | 6.90810i | −0.176262 | + | 0.331218i | ||||
\(436\) | − | 38.3028i | − | 1.83437i | ||||||
\(437\) | 6.88534i | 0.329371i | ||||||||
\(438\) | −13.0805 | + | 24.5798i | −0.625009 | + | 1.17447i | ||||
\(439\) | − | 17.9868i | − | 0.858465i | −0.903194 | − | 0.429233i | \(-0.858784\pi\) | ||
0.903194 | − | 0.429233i | \(-0.141216\pi\) | |||||||
\(440\) | 3.85887i | 0.183964i | ||||||||
\(441\) | −11.9263 | + | 17.2848i | −0.567919 | + | 0.823085i | ||||
\(442\) | 2.46795 | + | 1.78761i | 0.117388 | + | 0.0850281i | ||||
\(443\) | − | 3.25336i | − | 0.154572i | −0.997009 | − | 0.0772860i | \(-0.975375\pi\) | ||
0.997009 | − | 0.0772860i | \(-0.0246255\pi\) | |||||||
\(444\) | −14.9346 | − | 7.94767i | −0.708766 | − | 0.377180i | ||||
\(445\) | 7.74704 | 0.367245 | ||||||||
\(446\) | 32.3607 | 1.53232 | ||||||||
\(447\) | −11.8153 | + | 22.2024i | −0.558845 | + | 1.05014i | ||||
\(448\) | −17.8751 | + | 26.2212i | −0.844517 | + | 1.23884i | ||||
\(449\) | −40.1506 | −1.89482 | −0.947411 | − | 0.320019i | \(-0.896311\pi\) | ||||
−0.947411 | + | 0.320019i | \(0.896311\pi\) | |||||||
\(450\) | 18.6537 | + | 27.6975i | 0.879342 | + | 1.30567i | ||||
\(451\) | − | 11.2223i | − | 0.528436i | ||||||
\(452\) | 48.4953i | 2.28103i | ||||||||
\(453\) | −5.01256 | − | 2.66751i | −0.235511 | − | 0.125330i | ||||
\(454\) | 39.1703i | 1.83835i | ||||||||
\(455\) | −1.66378 | − | 4.62115i | −0.0779991 | − | 0.216643i | ||||
\(456\) | 10.3711 | − | 19.4886i | 0.485674 | − | 0.912639i | ||||
\(457\) | − | 0.467674i | − | 0.0218769i | −0.999940 | − | 0.0109384i | \(-0.996518\pi\) | ||
0.999940 | − | 0.0109384i | \(-0.00348188\pi\) | |||||||
\(458\) | −56.8403 | −2.65598 | ||||||||
\(459\) | 1.85810 | − | 0.193299i | 0.0867288 | − | 0.00902241i | ||||
\(460\) | −3.51987 | −0.164115 | ||||||||
\(461\) | 25.9844i | 1.21021i | 0.796144 | + | 0.605107i | \(0.206870\pi\) | ||||
−0.796144 | + | 0.605107i | \(0.793130\pi\) | |||||||
\(462\) | 10.4578 | + | 19.9214i | 0.486541 | + | 0.926827i | ||||
\(463\) | − | 18.8412i | − | 0.875625i | −0.899066 | − | 0.437812i | \(-0.855753\pi\) | ||
0.899066 | − | 0.437812i | \(-0.144247\pi\) | |||||||
\(464\) | − | 12.1383i | − | 0.563506i | ||||||
\(465\) | 5.80788 | + | 3.09074i | 0.269334 | + | 0.143330i | ||||
\(466\) | − | 15.4920i | − | 0.717652i | ||||||
\(467\) | −7.90380 | −0.365744 | −0.182872 | − | 0.983137i | \(-0.558539\pi\) | ||||
−0.182872 | + | 0.983137i | \(0.558539\pi\) | |||||||
\(468\) | 1.30301 | − | 38.1228i | 0.0602319 | − | 1.76223i | ||||
\(469\) | −8.13111 | − | 5.54299i | −0.375460 | − | 0.255952i | ||||
\(470\) | −8.35361 | −0.385323 | ||||||||
\(471\) | 27.4851 | + | 14.6266i | 1.26645 | + | 0.673958i | ||||
\(472\) | 3.63686i | 0.167400i | ||||||||
\(473\) | −0.800480 | −0.0368061 | ||||||||
\(474\) | −18.7194 | + | 35.1761i | −0.859813 | + | 1.61569i | ||||
\(475\) | −16.8172 | −0.771625 | ||||||||
\(476\) | −1.88946 | + | 2.77168i | −0.0866032 | + | 0.127040i | ||||
\(477\) | 22.9177 | − | 15.4346i | 1.04933 | − | 0.706701i | ||||
\(478\) | 12.7953 | 0.585245 | ||||||||
\(479\) | − | 14.3507i | − | 0.655701i | −0.944730 | − | 0.327851i | \(-0.893676\pi\) | ||
0.944730 | − | 0.327851i | \(-0.106324\pi\) | |||||||
\(480\) | −3.09021 | − | 1.64450i | −0.141048 | − | 0.0750607i | ||||
\(481\) | 5.85811 | − | 8.08762i | 0.267107 | − | 0.368764i | ||||
\(482\) | 3.39256 | 0.154527 | ||||||||
\(483\) | −7.86577 | + | 4.12916i | −0.357905 | + | 0.187883i | ||||
\(484\) | −23.4094 | −1.06406 | ||||||||
\(485\) | − | 4.29592i | − | 0.195068i | ||||||
\(486\) | −23.5060 | − | 28.1143i | −1.06625 | − | 1.27529i | ||||
\(487\) | − | 31.9722i | − | 1.44880i | −0.689380 | − | 0.724400i | \(-0.742117\pi\) | ||
0.689380 | − | 0.724400i | \(-0.257883\pi\) | |||||||
\(488\) | − | 38.7005i | − | 1.75189i | ||||||
\(489\) | 25.1397 | + | 13.3784i | 1.13686 | + | 0.604994i | ||||
\(490\) | 7.88661 | − | 3.09635i | 0.356281 | − | 0.139879i | ||||
\(491\) | − | 18.2619i | − | 0.824148i | −0.911150 | − | 0.412074i | \(-0.864804\pi\) | ||
0.911150 | − | 0.412074i | \(-0.135196\pi\) | |||||||
\(492\) | −28.9736 | − | 15.4187i | −1.30623 | − | 0.695129i | ||||
\(493\) | 3.15481i | 0.142086i | ||||||||
\(494\) | 24.3811 | + | 17.6600i | 1.09696 | + | 0.794559i | ||||
\(495\) | −2.67569 | + | 1.80202i | −0.120264 | + | 0.0809949i | ||||
\(496\) | −10.2051 | −0.458222 | ||||||||
\(497\) | 4.15859 | − | 6.10031i | 0.186538 | − | 0.273636i | ||||
\(498\) | −53.5326 | − | 28.4881i | −2.39885 | − | 1.27658i | ||||
\(499\) | 27.3031i | 1.22225i | 0.791533 | + | 0.611127i | \(0.209283\pi\) | ||||
−0.791533 | + | 0.611127i | \(0.790717\pi\) | |||||||
\(500\) | − | 17.6756i | − | 0.790476i | ||||||
\(501\) | −17.6797 | − | 9.40850i | −0.789871 | − | 0.420341i | ||||
\(502\) | −66.6855 | −2.97632 | ||||||||
\(503\) | 0.0424911 | 0.00189459 | 0.000947293 | − | 1.00000i | \(-0.499698\pi\) | ||||
0.000947293 | 1.00000i | \(0.499698\pi\) | ||||||||
\(504\) | 28.4833 | + | 0.160526i | 1.26875 | + | 0.00715042i | ||||
\(505\) | − | 8.67935i | − | 0.386226i | ||||||
\(506\) | 9.51804i | 0.423129i | ||||||||
\(507\) | 22.1845 | + | 3.85356i | 0.985246 | + | 0.171143i | ||||
\(508\) | 28.6289 | 1.27020 | ||||||||
\(509\) | − | 19.8553i | − | 0.880069i | −0.897981 | − | 0.440034i | \(-0.854966\pi\) | ||
0.897981 | − | 0.440034i | \(-0.145034\pi\) | |||||||
\(510\) | −0.665366 | − | 0.354084i | −0.0294629 | − | 0.0156791i | ||||
\(511\) | 10.1907 | − | 14.9490i | 0.450811 | − | 0.661303i | ||||
\(512\) | 15.3579 | 0.678731 | ||||||||
\(513\) | 18.3563 | − | 1.90961i | 0.810451 | − | 0.0843114i | ||||
\(514\) | 56.0746 | 2.47335 | ||||||||
\(515\) | −1.90261 | −0.0838389 | ||||||||
\(516\) | −1.09981 | + | 2.06668i | −0.0484165 | + | 0.0909804i | ||||
\(517\) | 14.4142i | 0.633934i | ||||||||
\(518\) | 14.2342 | + | 9.70347i | 0.625414 | + | 0.426346i | ||||
\(519\) | 10.2590 | − | 19.2779i | 0.450321 | − | 0.846208i | ||||
\(520\) | −3.90792 | + | 5.39521i | −0.171374 | + | 0.236596i | ||||
\(521\) | −12.5037 | −0.547798 | −0.273899 | − | 0.961759i | \(-0.588313\pi\) | ||||
−0.273899 | + | 0.961759i | \(0.588313\pi\) | |||||||
\(522\) | 51.3307 | − | 34.5701i | 2.24668 | − | 1.51309i | ||||
\(523\) | − | 4.40349i | − | 0.192551i | −0.995355 | − | 0.0962757i | \(-0.969307\pi\) | ||
0.995355 | − | 0.0962757i | \(-0.0306930\pi\) | |||||||
\(524\) | −59.7122 | −2.60854 | ||||||||
\(525\) | −10.0853 | − | 19.2118i | −0.440159 | − | 0.838472i | ||||
\(526\) | 35.6773i | 1.55560i | ||||||||
\(527\) | 2.65236 | 0.115539 | ||||||||
\(528\) | 2.35075 | − | 4.41734i | 0.102303 | − | 0.192240i | ||||
\(529\) | 19.2419 | 0.836604 | ||||||||
\(530\) | −11.1478 | −0.484231 | ||||||||
\(531\) | −2.52175 | + | 1.69835i | −0.109435 | + | 0.0737020i | ||||
\(532\) | −18.6661 | + | 27.3816i | −0.809278 | + | 1.18714i | ||||
\(533\) | 11.3649 | − | 15.6902i | 0.492269 | − | 0.679619i | ||||
\(534\) | −54.0853 | − | 28.7822i | −2.34050 | − | 1.24553i | ||||
\(535\) | −7.06423 | −0.305413 | ||||||||
\(536\) | 13.3476i | 0.576530i | ||||||||
\(537\) | 17.5174 | + | 9.32214i | 0.755933 | + | 0.402280i | ||||
\(538\) | 39.1843 | 1.68936 | ||||||||
\(539\) | −5.34275 | − | 13.6084i | −0.230129 | − | 0.586154i | ||||
\(540\) | 0.976215 | + | 9.38397i | 0.0420096 | + | 0.403822i | ||||
\(541\) | − | 33.8573i | − | 1.45564i | −0.685768 | − | 0.727820i | \(-0.740534\pi\) | ||
0.685768 | − | 0.727820i | \(-0.259466\pi\) | |||||||
\(542\) | −3.31763 | −0.142505 | ||||||||
\(543\) | 10.4740 | + | 5.57389i | 0.449483 | + | 0.239199i | ||||
\(544\) | −1.41125 | −0.0605067 | ||||||||
\(545\) | −5.59218 | −0.239543 | ||||||||
\(546\) | −5.55321 | + | 38.4435i | −0.237656 | + | 1.64523i | ||||
\(547\) | −25.7777 | −1.10217 | −0.551087 | − | 0.834448i | \(-0.685787\pi\) | ||||
−0.551087 | + | 0.834448i | \(0.685787\pi\) | |||||||
\(548\) | 35.0507 | 1.49729 | ||||||||
\(549\) | 26.8344 | − | 18.0724i | 1.14527 | − | 0.771311i | ||||
\(550\) | −23.2474 | −0.991274 | ||||||||
\(551\) | 31.1666i | 1.32774i | ||||||||
\(552\) | 10.6371 | + | 5.66070i | 0.452747 | + | 0.240936i | ||||
\(553\) | 14.5839 | − | 21.3934i | 0.620172 | − | 0.909741i | ||||
\(554\) | 4.77170 | 0.202730 | ||||||||
\(555\) | −1.16035 | + | 2.18044i | −0.0492542 | + | 0.0925547i | ||||
\(556\) | − | 4.40349i | − | 0.186750i | ||||||
\(557\) | −13.2935 | −0.563265 | −0.281633 | − | 0.959522i | \(-0.590876\pi\) | ||||
−0.281633 | + | 0.959522i | \(0.590876\pi\) | |||||||
\(558\) | −29.0643 | − | 43.1555i | −1.23039 | − | 1.82692i | ||||
\(559\) | −1.11918 | − | 0.810655i | −0.0473362 | − | 0.0342871i | ||||
\(560\) | −1.55696 | − | 1.06138i | −0.0657936 | − | 0.0448516i | ||||
\(561\) | −0.610972 | + | 1.14809i | −0.0257953 | + | 0.0484724i | ||||
\(562\) | −37.6057 | −1.58630 | ||||||||
\(563\) | 3.97380 | 0.167476 | 0.0837379 | − | 0.996488i | \(-0.473314\pi\) | ||||
0.0837379 | + | 0.996488i | \(0.473314\pi\) | |||||||
\(564\) | 37.2144 | + | 19.8042i | 1.56701 | + | 0.833906i | ||||
\(565\) | 7.08028 | 0.297870 | ||||||||
\(566\) | − | 71.3954i | − | 3.00097i | ||||||
\(567\) | 13.1899 | + | 19.8249i | 0.553922 | + | 0.832568i | ||||
\(568\) | −10.0140 | −0.420177 | ||||||||
\(569\) | 16.3233i | 0.684309i | 0.939644 | + | 0.342155i | \(0.111157\pi\) | ||||
−0.939644 | + | 0.342155i | \(0.888843\pi\) | |||||||
\(570\) | −6.57320 | − | 3.49802i | −0.275321 | − | 0.146516i | ||||
\(571\) | −22.2039 | −0.929205 | −0.464603 | − | 0.885519i | \(-0.653803\pi\) | ||||
−0.464603 | + | 0.885519i | \(0.653803\pi\) | |||||||
\(572\) | 21.5065 | + | 15.5778i | 0.899230 | + | 0.651341i | ||||
\(573\) | −7.11201 | − | 3.78476i | −0.297109 | − | 0.158110i | ||||
\(574\) | 27.6147 | + | 18.8250i | 1.15262 | + | 0.785741i | ||||
\(575\) | − | 9.17902i | − | 0.382792i | ||||||
\(576\) | 20.1005 | + | 29.8458i | 0.837522 | + | 1.24358i | ||||
\(577\) | −23.2603 | −0.968338 | −0.484169 | − | 0.874975i | \(-0.660878\pi\) | ||||
−0.484169 | + | 0.874975i | \(0.660878\pi\) | |||||||
\(578\) | 39.6607 | 1.64967 | ||||||||
\(579\) | 14.9346 | + | 7.94767i | 0.620662 | + | 0.330294i | ||||
\(580\) | −15.9327 | −0.661571 | ||||||||
\(581\) | 32.5575 | + | 22.1945i | 1.35071 | + | 0.920784i | ||||
\(582\) | −15.9604 | + | 29.9916i | −0.661581 | + | 1.24319i | ||||
\(583\) | 19.2356i | 0.796657i | ||||||||
\(584\) | −24.5395 | −1.01545 | ||||||||
\(585\) | −5.56590 | − | 0.190239i | −0.230122 | − | 0.00786542i | ||||
\(586\) | 57.4926i | 2.37500i | ||||||||
\(587\) | 12.5987i | 0.520006i | 0.965608 | + | 0.260003i | \(0.0837235\pi\) | ||||
−0.965608 | + | 0.260003i | \(0.916277\pi\) | |||||||
\(588\) | −42.4747 | − | 4.90317i | −1.75163 | − | 0.202203i | ||||
\(589\) | 26.2029 | 1.07967 | ||||||||
\(590\) | 1.22665 | 0.0505005 | ||||||||
\(591\) | 16.2885 | − | 30.6081i | 0.670021 | − | 1.25905i | ||||
\(592\) | − | 3.83128i | − | 0.157465i | ||||||
\(593\) | − | 30.1206i | − | 1.23690i | −0.785823 | − | 0.618452i | \(-0.787760\pi\) | ||
0.785823 | − | 0.618452i | \(-0.212240\pi\) | |||||||
\(594\) | 25.3751 | − | 2.63977i | 1.04115 | − | 0.108311i | ||||
\(595\) | 0.404663 | + | 0.275859i | 0.0165896 | + | 0.0113091i | ||||
\(596\) | −51.2073 | −2.09753 | ||||||||
\(597\) | −24.6015 | − | 13.0920i | −1.00687 | − | 0.535820i | ||||
\(598\) | −9.63903 | + | 13.3075i | −0.394169 | + | 0.544184i | ||||
\(599\) | − | 5.44292i | − | 0.222392i | −0.993799 | − | 0.111196i | \(-0.964532\pi\) | ||
0.993799 | − | 0.111196i | \(-0.0354681\pi\) | |||||||
\(600\) | −13.8260 | + | 25.9808i | −0.564445 | + | 1.06066i | ||||
\(601\) | 6.01932i | 0.245533i | 0.992436 | + | 0.122767i | \(0.0391766\pi\) | ||||
−0.992436 | + | 0.122767i | \(0.960823\pi\) | |||||||
\(602\) | 1.34278 | − | 1.96975i | 0.0547277 | − | 0.0802810i | ||||
\(603\) | −9.25509 | + | 6.23310i | −0.376896 | + | 0.253831i | ||||
\(604\) | − | 11.5609i | − | 0.470407i | ||||||
\(605\) | 3.41775i | 0.138951i | ||||||||
\(606\) | −32.2460 | + | 60.5941i | −1.30990 | + | 2.46147i | ||||
\(607\) | − | 3.15481i | − | 0.128050i | −0.997948 | − | 0.0640250i | \(-0.979606\pi\) | ||
0.997948 | − | 0.0640250i | \(-0.0203937\pi\) | |||||||
\(608\) | −13.9418 | −0.565415 | ||||||||
\(609\) | −35.6045 | + | 18.6907i | −1.44277 | + | 0.757386i | ||||
\(610\) | −13.0530 | −0.528502 | ||||||||
\(611\) | −14.5974 | + | 20.1529i | −0.590547 | + | 0.815300i | ||||
\(612\) | 2.12470 | + | 3.15481i | 0.0858858 | + | 0.127526i | ||||
\(613\) | 28.6230i | 1.15607i | 0.816011 | + | 0.578036i | \(0.196181\pi\) | ||||
−0.816011 | + | 0.578036i | \(0.803819\pi\) | |||||||
\(614\) | 23.1248 | 0.933242 | ||||||||
\(615\) | −2.25112 | + | 4.23012i | −0.0907739 | + | 0.170575i | ||||
\(616\) | −11.1694 | + | 16.3846i | −0.450029 | + | 0.660155i | ||||
\(617\) | −4.18768 | −0.168590 | −0.0842949 | − | 0.996441i | \(-0.526864\pi\) | ||||
−0.0842949 | + | 0.996441i | \(0.526864\pi\) | |||||||
\(618\) | 13.2829 | + | 7.06867i | 0.534316 | + | 0.284344i | ||||
\(619\) | 8.46124 | 0.340086 | 0.170043 | − | 0.985437i | \(-0.445609\pi\) | ||||
0.170043 | + | 0.985437i | \(0.445609\pi\) | |||||||
\(620\) | 13.3952i | 0.537965i | ||||||||
\(621\) | 1.04229 | + | 10.0191i | 0.0418256 | + | 0.402053i | ||||
\(622\) | 50.7347 | 2.03428 | ||||||||
\(623\) | 32.8936 | + | 22.4236i | 1.31786 | + | 0.898384i | ||||
\(624\) | 7.76014 | − | 3.79539i | 0.310654 | − | 0.151937i | ||||
\(625\) | 21.0939 | 0.843757 | ||||||||
\(626\) | 21.4799i | 0.858508i | ||||||||
\(627\) | −6.03584 | + | 11.3421i | −0.241048 | + | 0.452959i | ||||
\(628\) | 63.3913i | 2.52959i | ||||||||
\(629\) | 0.995772i | 0.0397040i | ||||||||
\(630\) | 0.0541429 | − | 9.60694i | 0.00215711 | − | 0.382750i | ||||
\(631\) | 34.5892i | 1.37698i | 0.725248 | + | 0.688488i | \(0.241725\pi\) | ||||
−0.725248 | + | 0.688488i | \(0.758275\pi\) | |||||||
\(632\) | −35.1184 | −1.39694 | ||||||||
\(633\) | 5.80788 | − | 10.9137i | 0.230842 | − | 0.433781i | ||||
\(634\) | 1.79453 | 0.0712701 | ||||||||
\(635\) | − | 4.17980i | − | 0.165870i | ||||||
\(636\) | 49.6624 | + | 26.4285i | 1.96924 | + | 1.04796i | ||||
\(637\) | 6.31147 | − | 24.4370i | 0.250070 | − | 0.968228i | ||||
\(638\) | 43.0836i | 1.70569i | ||||||||
\(639\) | −4.67635 | − | 6.94357i | −0.184993 | − | 0.274683i | ||||
\(640\) | − | 10.4758i | − | 0.414092i | ||||||
\(641\) | − | 32.3388i | − | 1.27731i | −0.769495 | − | 0.638653i | \(-0.779492\pi\) | ||
0.769495 | − | 0.638653i | \(-0.220508\pi\) | |||||||
\(642\) | 49.3183 | + | 26.2454i | 1.94644 | + | 1.03582i | ||||
\(643\) | 19.4259 | 0.766081 | 0.383041 | − | 0.923731i | \(-0.374877\pi\) | ||||
0.383041 | + | 0.923731i | \(0.374877\pi\) | |||||||
\(644\) | −14.9452 | − | 10.1882i | −0.588924 | − | 0.401471i | ||||
\(645\) | 0.301733 | + | 0.160571i | 0.0118807 | + | 0.00632250i | ||||
\(646\) | −3.00187 | −0.118107 | ||||||||
\(647\) | −19.2229 | −0.755731 | −0.377865 | − | 0.925861i | \(-0.623342\pi\) | ||||
−0.377865 | + | 0.925861i | \(0.623342\pi\) | |||||||
\(648\) | 12.1413 | − | 29.9286i | 0.476954 | − | 1.17571i | ||||
\(649\) | − | 2.11659i | − | 0.0830835i | ||||||
\(650\) | −32.5030 | − | 23.5429i | −1.27487 | − | 0.923430i | ||||
\(651\) | 15.7139 | + | 29.9340i | 0.615878 | + | 1.17320i | ||||
\(652\) | 57.9819i | 2.27075i | ||||||||
\(653\) | − | 10.6175i | − | 0.415494i | −0.978183 | − | 0.207747i | \(-0.933387\pi\) | ||
0.978183 | − | 0.207747i | \(-0.0666131\pi\) | |||||||
\(654\) | 39.0413 | + | 20.7764i | 1.52664 | + | 0.812420i | ||||
\(655\) | 8.71793i | 0.340638i | ||||||||
\(656\) | − | 7.43280i | − | 0.290202i | ||||||
\(657\) | −11.4595 | − | 17.0154i | −0.447077 | − | 0.663833i | ||||
\(658\) | −35.4691 | − | 24.1793i | −1.38273 | − | 0.942608i | ||||
\(659\) | 15.7690i | 0.614271i | 0.951666 | + | 0.307136i | \(0.0993705\pi\) | ||||
−0.951666 | + | 0.307136i | \(0.900629\pi\) | |||||||
\(660\) | −5.79820 | − | 3.08559i | −0.225695 | − | 0.120106i | ||||
\(661\) | −22.0381 | −0.857183 | −0.428591 | − | 0.903498i | \(-0.640990\pi\) | ||||
−0.428591 | + | 0.903498i | \(0.640990\pi\) | |||||||
\(662\) | − | 16.3545i | − | 0.635635i | ||||||
\(663\) | −2.01690 | + | 0.986445i | −0.0783301 | + | 0.0383103i | ||||
\(664\) | − | 53.4449i | − | 2.07406i | ||||||
\(665\) | 3.99769 | + | 2.72523i | 0.155024 | + | 0.105680i | ||||
\(666\) | 16.2018 | − | 10.9116i | 0.627807 | − | 0.422815i | ||||
\(667\) | −17.0111 | −0.658673 | ||||||||
\(668\) | − | 40.7762i | − | 1.57768i | ||||||
\(669\) | −11.2009 | + | 21.0478i | −0.433050 | + | 0.813753i | ||||
\(670\) | 4.50194 | 0.173925 | ||||||||
\(671\) | 22.5230i | 0.869492i | ||||||||
\(672\) | −8.36094 | − | 15.9270i | −0.322530 | − | 0.614398i | ||||
\(673\) | 5.62885 | 0.216976 | 0.108488 | − | 0.994098i | \(-0.465399\pi\) | ||||
0.108488 | + | 0.994098i | \(0.465399\pi\) | |||||||
\(674\) | −34.4889 | −1.32846 | ||||||||
\(675\) | −24.4713 | + | 2.54575i | −0.941899 | + | 0.0979859i | ||||
\(676\) | 14.2931 | + | 43.5597i | 0.549733 | + | 1.67537i | ||||
\(677\) | −25.1231 | −0.965560 | −0.482780 | − | 0.875742i | \(-0.660373\pi\) | ||||
−0.482780 | + | 0.875742i | \(0.660373\pi\) | |||||||
\(678\) | −49.4303 | − | 26.3050i | −1.89836 | − | 1.01024i | ||||
\(679\) | 12.4344 | − | 18.2403i | 0.477190 | − | 0.699998i | ||||
\(680\) | − | 0.664275i | − | 0.0254738i | ||||||
\(681\) | −25.4768 | − | 13.5578i | −0.976273 | − | 0.519537i | ||||
\(682\) | 36.2219 | 1.38701 | ||||||||
\(683\) | 19.7688 | 0.756432 | 0.378216 | − | 0.925717i | \(-0.376538\pi\) | ||||
0.378216 | + | 0.925717i | \(0.376538\pi\) | |||||||
\(684\) | 20.9900 | + | 31.1666i | 0.802574 | + | 1.19169i | ||||
\(685\) | − | 5.11738i | − | 0.195525i | ||||||
\(686\) | 42.4485 | + | 9.68067i | 1.62069 | + | 0.369610i | ||||
\(687\) | 19.6739 | − | 36.9696i | 0.750606 | − | 1.41048i | ||||
\(688\) | −0.530179 | −0.0202129 | ||||||||
\(689\) | −19.4801 | + | 26.8939i | −0.742133 | + | 1.02458i | ||||
\(690\) | 1.90926 | − | 3.58773i | 0.0726844 | − | 0.136583i | ||||
\(691\) | −26.7444 | −1.01741 | −0.508703 | − | 0.860942i | \(-0.669875\pi\) | ||||
−0.508703 | + | 0.860942i | \(0.669875\pi\) | |||||||
\(692\) | 44.4624 | 1.69021 | ||||||||
\(693\) | −16.5768 | − | 0.0934238i | −0.629701 | − | 0.00354887i | ||||
\(694\) | − | 63.7450i | − | 2.41973i | ||||||
\(695\) | −0.642907 | −0.0243868 | ||||||||
\(696\) | 48.1492 | + | 25.6233i | 1.82509 | + | 0.971247i | ||||
\(697\) | 1.93183i | 0.0731732i | ||||||||
\(698\) | 19.0457 | 0.720889 | ||||||||
\(699\) | 10.0762 | + | 5.36216i | 0.381115 | + | 0.202816i | ||||
\(700\) | 24.8842 | − | 36.5031i | 0.940535 | − | 1.37969i | ||||
\(701\) | 7.90471i | 0.298557i | 0.988795 | + | 0.149278i | \(0.0476951\pi\) | ||||
−0.988795 | + | 0.149278i | \(0.952305\pi\) | |||||||
\(702\) | 38.1511 | + | 22.0069i | 1.43992 | + | 0.830596i | ||||
\(703\) | 9.83730i | 0.371021i | ||||||||
\(704\) | −25.0506 | −0.944131 | ||||||||
\(705\) | 2.89139 | − | 5.43328i | 0.108896 | − | 0.204629i | ||||
\(706\) | − | 59.1028i | − | 2.22436i | ||||||
\(707\) | 25.1222 | − | 36.8522i | 0.944818 | − | 1.38597i | ||||
\(708\) | −5.46461 | − | 2.90807i | −0.205373 | − | 0.109292i | ||||
\(709\) | − | 40.7899i | − | 1.53190i | −0.642901 | − | 0.765949i | \(-0.722269\pi\) | ||
0.642901 | − | 0.765949i | \(-0.277731\pi\) | |||||||
\(710\) | 3.37755i | 0.126757i | ||||||||
\(711\) | −16.3997 | − | 24.3507i | −0.615035 | − | 0.913222i | ||||
\(712\) | − | 53.9966i | − | 2.02361i | ||||||
\(713\) | 14.3018i | 0.535608i | ||||||||
\(714\) | −1.80023 | − | 3.42931i | −0.0673719 | − | 0.128339i | ||||
\(715\) | 2.27435 | − | 3.13993i | 0.0850557 | − | 0.117427i | ||||
\(716\) | 40.4020i | 1.50989i | ||||||||
\(717\) | −4.42879 | + | 8.32224i | −0.165396 | + | 0.310800i | ||||
\(718\) | 14.7795 | 0.551565 | ||||||||
\(719\) | −16.2571 | −0.606288 | −0.303144 | − | 0.952945i | \(-0.598036\pi\) | ||||
−0.303144 | + | 0.952945i | \(0.598036\pi\) | |||||||
\(720\) | −1.77218 | + | 1.19353i | −0.0660453 | + | 0.0444801i | ||||
\(721\) | −8.07839 | − | 5.50706i | −0.300855 | − | 0.205093i | ||||
\(722\) | 15.0105 | 0.558635 | ||||||||
\(723\) | −1.17425 | + | 2.20656i | −0.0436708 | + | 0.0820628i | ||||
\(724\) | 24.1571i | 0.897792i | ||||||||
\(725\) | − | 41.5490i | − | 1.54309i | ||||||
\(726\) | 12.6978 | − | 23.8607i | 0.471260 | − | 0.885555i | ||||
\(727\) | − | 19.1679i | − | 0.710897i | −0.934696 | − | 0.355449i | \(-0.884328\pi\) | ||
0.934696 | − | 0.355449i | \(-0.115672\pi\) | |||||||
\(728\) | −32.2092 | + | 11.5965i | −1.19375 | + | 0.429794i | ||||
\(729\) | 26.4219 | − | 5.55748i | 0.978587 | − | 0.205833i | ||||
\(730\) | 8.27677i | 0.306337i | ||||||||
\(731\) | 0.137797 | 0.00509659 | ||||||||
\(732\) | 58.1499 | + | 30.9453i | 2.14928 | + | 1.14377i | ||||
\(733\) | 31.3124 | 1.15655 | 0.578274 | − | 0.815842i | \(-0.303726\pi\) | ||||
0.578274 | + | 0.815842i | \(0.303726\pi\) | |||||||
\(734\) | 52.6101i | 1.94187i | ||||||||
\(735\) | −0.715858 | + | 6.20127i | −0.0264048 | + | 0.228737i | ||||
\(736\) | − | 7.60961i | − | 0.280494i | ||||||
\(737\) | − | 7.76811i | − | 0.286142i | ||||||
\(738\) | 31.4320 | − | 21.1688i | 1.15703 | − | 0.779232i | ||||
\(739\) | 38.9147i | 1.43150i | 0.698357 | + | 0.715750i | \(0.253915\pi\) | ||||
−0.698357 | + | 0.715750i | \(0.746085\pi\) | |||||||
\(740\) | −5.02894 | −0.184868 | ||||||||
\(741\) | −19.9251 | + | 9.74515i | −0.731968 | + | 0.357997i | ||||
\(742\) | −47.3332 | − | 32.2671i | −1.73766 | − | 1.18456i | ||||
\(743\) | 3.18656 | 0.116903 | 0.0584517 | − | 0.998290i | \(-0.481384\pi\) | ||||
0.0584517 | + | 0.998290i | \(0.481384\pi\) | |||||||
\(744\) | 21.5424 | − | 40.4807i | 0.789781 | − | 1.48409i | ||||
\(745\) | 7.47622i | 0.273907i | ||||||||
\(746\) | −64.2515 | −2.35241 | ||||||||
\(747\) | 37.0580 | − | 24.9578i | 1.35588 | − | 0.913157i | ||||
\(748\) | −2.64794 | −0.0968183 | ||||||||
\(749\) | −29.9945 | − | 20.4473i | −1.09597 | − | 0.747127i | ||||
\(750\) | 18.0164 | + | 9.58767i | 0.657865 | + | 0.350092i | ||||
\(751\) | −0.0203251 | −0.000741673 | −0.000370837 | − | 1.00000i | \(-0.500118\pi\) | ||||
−0.000370837 | 1.00000i | \(0.500118\pi\) | ||||||||
\(752\) | 9.54688i | 0.348139i | ||||||||
\(753\) | 23.0815 | − | 43.3730i | 0.841138 | − | 1.58060i | ||||
\(754\) | −43.6312 | + | 60.2365i | −1.58895 | + | 2.19369i | ||||
\(755\) | −1.68788 | −0.0614284 | ||||||||
\(756\) | −23.0167 | + | 42.6696i | −0.837110 | + | 1.55188i | ||||
\(757\) | 15.7117 | 0.571052 | 0.285526 | − | 0.958371i | \(-0.407832\pi\) | ||||
0.285526 | + | 0.958371i | \(0.407832\pi\) | |||||||
\(758\) | − | 28.2013i | − | 1.02432i | ||||||
\(759\) | −6.19064 | − | 3.29444i | −0.224706 | − | 0.119580i | ||||
\(760\) | − | 6.56242i | − | 0.238044i | ||||||
\(761\) | 27.8139i | 1.00825i | 0.863629 | + | 0.504127i | \(0.168186\pi\) | ||||
−0.863629 | + | 0.504127i | \(0.831814\pi\) | |||||||
\(762\) | −15.5290 | + | 29.1809i | −0.562557 | + | 1.05711i | ||||
\(763\) | −23.7442 | − | 16.1864i | −0.859597 | − | 0.585988i | ||||
\(764\) | − | 16.4030i | − | 0.593441i | ||||||
\(765\) | 0.460600 | − | 0.310204i | 0.0166530 | − | 0.0112155i | ||||
\(766\) | − | 24.8641i | − | 0.898376i | ||||||
\(767\) | 2.14350 | − | 2.95928i | 0.0773972 | − | 0.106853i | ||||
\(768\) | −19.4007 | + | 36.4562i | −0.700062 | + | 1.31550i | ||||
\(769\) | −32.8282 | −1.18381 | −0.591907 | − | 0.806006i | \(-0.701625\pi\) | ||||
−0.591907 | + | 0.806006i | \(0.701625\pi\) | |||||||
\(770\) | 5.52626 | + | 3.76726i | 0.199153 | + | 0.135763i | ||||
\(771\) | −19.4089 | + | 36.4716i | −0.698993 | + | 1.31349i | ||||
\(772\) | 34.4450i | 1.23970i | ||||||||
\(773\) | − | 18.4141i | − | 0.662310i | −0.943576 | − | 0.331155i | \(-0.892562\pi\) | ||
0.943576 | − | 0.331155i | \(-0.107438\pi\) | |||||||
\(774\) | −1.50996 | − | 2.24203i | −0.0542744 | − | 0.0805881i | ||||
\(775\) | −34.9317 | −1.25478 | ||||||||
\(776\) | −29.9424 | −1.07487 | ||||||||
\(777\) | −11.2381 | + | 5.89946i | −0.403163 | + | 0.211642i | ||||
\(778\) | − | 43.8099i | − | 1.57066i | ||||||
\(779\) | 19.0846i | 0.683778i | ||||||||
\(780\) | −4.98184 | − | 10.1860i | −0.178378 | − | 0.364716i | ||||
\(781\) | 5.82797 | 0.208541 | ||||||||
\(782\) | − | 1.63846i | − | 0.0585911i | ||||||
\(783\) | 4.71794 | + | 45.3516i | 0.168605 | + | 1.62074i | ||||
\(784\) | −3.53864 | − | 9.01318i | −0.126380 | − | 0.321899i | ||||
\(785\) | 9.25509 | 0.330328 | ||||||||
\(786\) | 32.3893 | − | 60.8634i | 1.15529 | − | 2.17093i | ||||
\(787\) | −45.4288 | −1.61936 | −0.809682 | − | 0.586869i | \(-0.800360\pi\) | ||||
−0.809682 | + | 0.586869i | \(0.800360\pi\) | |||||||
\(788\) | 70.5942 | 2.51481 | ||||||||
\(789\) | −23.2049 | − | 12.3488i | −0.826117 | − | 0.439630i | ||||
\(790\) | 11.8449i | 0.421421i | ||||||||
\(791\) | 30.0626 | + | 20.4937i | 1.06890 | + | 0.728673i | ||||
\(792\) | 12.5600 | + | 18.6495i | 0.446301 | + | 0.662681i | ||||
\(793\) | −22.8093 | + | 31.4902i | −0.809983 | + | 1.11825i | ||||
\(794\) | −30.8082 | −1.09334 | ||||||||
\(795\) | 3.85855 | − | 7.25067i | 0.136849 | − | 0.257155i | ||||
\(796\) | − | 56.7405i | − | 2.01111i | ||||||
\(797\) | −24.1920 | −0.856925 | −0.428463 | − | 0.903559i | \(-0.640945\pi\) | ||||
−0.428463 | + | 0.903559i | \(0.640945\pi\) | |||||||
\(798\) | −17.7846 | − | 33.8784i | −0.629568 | − | 1.19928i | ||||
\(799\) | − | 2.48129i | − | 0.0877817i | ||||||
\(800\) | 18.5862 | 0.657120 | ||||||||
\(801\) | 37.4406 | − | 25.2154i | 1.32290 | − | 0.890943i | ||||
\(802\) | −5.55816 | −0.196265 | ||||||||
\(803\) | 14.2816 | 0.503986 | ||||||||
\(804\) | −20.0557 | − | 10.6729i | −0.707309 | − | 0.376404i | ||||
\(805\) | −1.48747 | + | 2.18199i | −0.0524263 | + | 0.0769051i | ||||
\(806\) | 50.6430 | + | 36.6823i | 1.78382 | + | 1.29208i | ||||
\(807\) | −13.5627 | + | 25.4859i | −0.477429 | + | 0.897147i | ||||
\(808\) | −60.4948 | −2.12820 | ||||||||
\(809\) | − | 23.4134i | − | 0.823171i | −0.911371 | − | 0.411585i | \(-0.864975\pi\) | ||
0.911371 | − | 0.411585i | \(-0.135025\pi\) | |||||||
\(810\) | −10.0944 | − | 4.09505i | −0.354682 | − | 0.143885i | ||||
\(811\) | 7.01299 | 0.246259 | 0.123130 | − | 0.992391i | \(-0.460707\pi\) | ||||
0.123130 | + | 0.992391i | \(0.460707\pi\) | |||||||
\(812\) | −67.6498 | − | 46.1170i | −2.37404 | − | 1.61839i | ||||
\(813\) | 1.14832 | − | 2.15783i | 0.0402732 | − | 0.0756783i | ||||
\(814\) | 13.5987i | 0.476635i | ||||||||
\(815\) | 8.46531 | 0.296527 | ||||||||
\(816\) | −0.404663 | + | 0.760411i | −0.0141660 | + | 0.0266197i | ||||
\(817\) | 1.36130 | 0.0476259 | ||||||||
\(818\) | 54.3016 | 1.89861 | ||||||||
\(819\) | −23.0820 | − | 16.9181i | −0.806549 | − | 0.591167i | ||||
\(820\) | −9.75630 | −0.340705 | ||||||||
\(821\) | 44.6315 | 1.55765 | 0.778824 | − | 0.627242i | \(-0.215816\pi\) | ||||
0.778824 | + | 0.627242i | \(0.215816\pi\) | |||||||
\(822\) | −19.0124 | + | 35.7265i | −0.663133 | + | 1.24611i | ||||
\(823\) | −18.1182 | −0.631560 | −0.315780 | − | 0.948832i | \(-0.602266\pi\) | ||||
−0.315780 | + | 0.948832i | \(0.602266\pi\) | |||||||
\(824\) | 13.2611i | 0.461972i | ||||||||
\(825\) | 8.04652 | − | 15.1204i | 0.280144 | − | 0.526424i | ||||
\(826\) | 5.20832 | + | 3.55052i | 0.181221 | + | 0.123538i | ||||
\(827\) | 19.6905 | 0.684704 | 0.342352 | − | 0.939572i | \(-0.388776\pi\) | ||||
0.342352 | + | 0.939572i | \(0.388776\pi\) | |||||||
\(828\) | −17.0111 | + | 11.4566i | −0.591178 | + | 0.398145i | ||||
\(829\) | − | 42.7046i | − | 1.48319i | −0.670846 | − | 0.741597i | \(-0.734069\pi\) | ||
0.670846 | − | 0.741597i | \(-0.265931\pi\) | |||||||
\(830\) | −18.0261 | −0.625694 | ||||||||
\(831\) | −1.65161 | + | 3.10357i | −0.0572936 | + | 0.107662i | ||||
\(832\) | −35.0241 | − | 25.3690i | −1.21424 | − | 0.879513i | ||||
\(833\) | 0.919714 | + | 2.34258i | 0.0318662 | + | 0.0811655i | ||||
\(834\) | 4.48840 | + | 2.38856i | 0.155420 | + | 0.0827091i | ||||
\(835\) | −5.95330 | −0.206022 | ||||||||
\(836\) | −26.1592 | −0.904734 | ||||||||
\(837\) | 38.1287 | − | 3.96653i | 1.31792 | − | 0.137104i | ||||
\(838\) | −13.6409 | −0.471217 | ||||||||
\(839\) | − | 24.9872i | − | 0.862655i | −0.902195 | − | 0.431327i | \(-0.858045\pi\) | ||
0.902195 | − | 0.431327i | \(-0.141955\pi\) | |||||||
\(840\) | 7.49686 | − | 3.93550i | 0.258666 | − | 0.135788i | ||||
\(841\) | −48.0011 | −1.65521 | ||||||||
\(842\) | − | 93.4863i | − | 3.22175i | ||||||
\(843\) | 13.0163 | − | 24.4592i | 0.448305 | − | 0.842419i | ||||
\(844\) | 25.1712 | 0.866429 | ||||||||
\(845\) | 6.35968 | − | 2.08678i | 0.218779 | − | 0.0717873i | ||||
\(846\) | −40.3720 | + | 27.1897i | −1.38802 | + | 0.934801i | ||||
\(847\) | −9.89261 | + | 14.5116i | −0.339914 | + | 0.498626i | ||||
\(848\) | 12.7402i | 0.437502i | ||||||||
\(849\) | 46.4364 | + | 24.7118i | 1.59369 | + | 0.848105i | ||||
\(850\) | 4.00187 | 0.137263 | ||||||||
\(851\) | −5.36932 | −0.184058 | ||||||||
\(852\) | 8.00728 | − | 15.0466i | 0.274325 | − | 0.515489i | ||||
\(853\) | 42.9390 | 1.47020 | 0.735101 | − | 0.677958i | \(-0.237135\pi\) | ||||
0.735101 | + | 0.677958i | \(0.237135\pi\) | |||||||
\(854\) | −55.4226 | − | 37.7817i | −1.89652 | − | 1.29286i | ||||
\(855\) | 4.55030 | − | 3.06453i | 0.155617 | − | 0.104805i | ||||
\(856\) | 49.2374i | 1.68290i | ||||||||
\(857\) | 44.5564 | 1.52202 | 0.761008 | − | 0.648742i | \(-0.224705\pi\) | ||||
0.761008 | + | 0.648742i | \(0.224705\pi\) | |||||||
\(858\) | −27.5438 | + | 13.4713i | −0.940329 | + | 0.459904i | ||||
\(859\) | 11.3360i | 0.386778i | 0.981122 | + | 0.193389i | \(0.0619479\pi\) | ||||
−0.981122 | + | 0.193389i | \(0.938052\pi\) | |||||||
\(860\) | 0.695913i | 0.0237304i | ||||||||
\(861\) | −21.8022 | + | 11.4451i | −0.743016 | + | 0.390049i | ||||
\(862\) | 85.1025 | 2.89860 | ||||||||
\(863\) | 45.8518 | 1.56081 | 0.780407 | − | 0.625272i | \(-0.215012\pi\) | ||||
0.780407 | + | 0.625272i | \(0.215012\pi\) | |||||||
\(864\) | −20.2872 | + | 2.11048i | −0.690185 | + | 0.0718000i | ||||
\(865\) | − | 6.49147i | − | 0.220717i | ||||||
\(866\) | 3.79857i | 0.129081i | ||||||||
\(867\) | −13.7276 | + | 25.7957i | −0.466212 | + | 0.876069i | ||||
\(868\) | −38.7721 | + | 56.8755i | −1.31601 | + | 1.93048i | ||||
\(869\) | 20.4383 | 0.693323 | ||||||||
\(870\) | 8.64230 | − | 16.2399i | 0.293001 | − | 0.550585i | ||||
\(871\) | 7.86685 | − | 10.8608i | 0.266558 | − | 0.368006i | ||||
\(872\) | 38.9773i | 1.31994i | ||||||||
\(873\) | −13.9825 | − | 20.7617i | −0.473237 | − | 0.702676i | ||||
\(874\) | − | 16.1864i | − | 0.547514i | ||||||
\(875\) | −10.9572 | − | 7.46955i | −0.370422 | − | 0.252517i | ||||
\(876\) | 19.6220 | − | 36.8721i | 0.662967 | − | 1.24579i | ||||
\(877\) | − | 46.3559i | − | 1.56533i | −0.622445 | − | 0.782664i | \(-0.713861\pi\) | ||
0.622445 | − | 0.782664i | \(-0.286139\pi\) | |||||||
\(878\) | 42.2844i | 1.42703i | ||||||||
\(879\) | −37.3939 | − | 19.8997i | −1.26126 | − | 0.671199i | ||||
\(880\) | − | 1.48745i | − | 0.0501420i | ||||||
\(881\) | 30.1838 | 1.01692 | 0.508460 | − | 0.861086i | \(-0.330215\pi\) | ||||
0.508460 | + | 0.861086i | \(0.330215\pi\) | |||||||
\(882\) | 28.0370 | − | 40.6340i | 0.944054 | − | 1.36822i | ||||
\(883\) | −26.8810 | −0.904618 | −0.452309 | − | 0.891861i | \(-0.649400\pi\) | ||||
−0.452309 | + | 0.891861i | \(0.649400\pi\) | |||||||
\(884\) | −3.70217 | − | 2.68160i | −0.124518 | − | 0.0901919i | ||||
\(885\) | −0.424576 | + | 0.797829i | −0.0142720 | + | 0.0268187i | ||||
\(886\) | 7.64818i | 0.256946i | ||||||||
\(887\) | −9.71279 | −0.326123 | −0.163062 | − | 0.986616i | \(-0.552137\pi\) | ||||
−0.163062 | + | 0.986616i | \(0.552137\pi\) | |||||||
\(888\) | 15.1976 | + | 8.08762i | 0.509998 | + | 0.271403i | ||||
\(889\) | 12.0983 | − | 17.7473i | 0.405765 | − | 0.595224i | ||||
\(890\) | −18.2122 | −0.610473 | ||||||||
\(891\) | −7.06602 | + | 17.4179i | −0.236721 | + | 0.583523i | ||||
\(892\) | −48.5442 | −1.62538 | ||||||||
\(893\) | − | 24.5128i | − | 0.820290i | ||||||
\(894\) | 27.7761 | − | 52.1946i | 0.928970 | − | 1.74565i | ||||
\(895\) | 5.89865 | 0.197170 | ||||||||
\(896\) | 30.3220 | − | 44.4798i | 1.01299 | − | 1.48597i | ||||
\(897\) | −5.31903 | − | 10.8754i | −0.177597 | − | 0.363119i | ||||
\(898\) | 94.3881 | 3.14977 | ||||||||
\(899\) | 64.7375i | 2.15912i | ||||||||
\(900\) | −27.9823 | − | 41.5490i | −0.932745 | − | 1.38497i | ||||
\(901\) | − | 3.31126i | − | 0.110314i | ||||||
\(902\) | 26.3819i | 0.878421i | ||||||||
\(903\) | 0.816376 | + | 1.55514i | 0.0271673 | + | 0.0517518i | ||||
\(904\) | − | 49.3493i | − | 1.64133i | ||||||
\(905\) | 3.52692 | 0.117239 | ||||||||
\(906\) | 11.7838 | + | 6.27092i | 0.391491 | + | 0.208337i | ||||
\(907\) | −54.2467 | −1.80123 | −0.900616 | − | 0.434616i | \(-0.856884\pi\) | ||||
−0.900616 | + | 0.434616i | \(0.856884\pi\) | |||||||
\(908\) | − | 58.7593i | − | 1.95000i | ||||||
\(909\) | −28.2499 | − | 41.9463i | −0.936992 | − | 1.39127i | ||||
\(910\) | 3.91130 | + | 10.8636i | 0.129658 | + | 0.360126i | ||||
\(911\) | − | 29.5135i | − | 0.977825i | −0.872333 | − | 0.488913i | \(-0.837394\pi\) | ||
0.872333 | − | 0.488913i | \(-0.162606\pi\) | |||||||
\(912\) | −3.99769 | + | 7.51215i | −0.132377 | + | 0.248752i | ||||
\(913\) | 31.1040i | 1.02939i | ||||||||
\(914\) | 1.09943i | 0.0363660i | ||||||||
\(915\) | 4.51798 | − | 8.48984i | 0.149360 | − | 0.280665i | ||||
\(916\) | 85.2662 | 2.81727 | ||||||||
\(917\) | −25.2339 | + | 37.0160i | −0.833295 | + | 1.22238i | ||||
\(918\) | −4.36813 | + | 0.454417i | −0.144170 | + | 0.0149980i | ||||
\(919\) | 37.6149 | 1.24080 | 0.620401 | − | 0.784285i | \(-0.286970\pi\) | ||||
0.620401 | + | 0.784285i | \(0.286970\pi\) | |||||||
\(920\) | 3.58185 | 0.118090 | ||||||||
\(921\) | −8.00409 | + | 15.0407i | −0.263744 | + | 0.495606i | ||||
\(922\) | − | 61.0855i | − | 2.01174i | ||||||
\(923\) | 8.14828 | + | 5.90205i | 0.268204 | + | 0.194268i | ||||
\(924\) | −15.6877 | − | 29.8841i | −0.516089 | − | 0.983113i | ||||
\(925\) | − | 13.1143i | − | 0.431197i | ||||||
\(926\) | 44.2929i | 1.45556i | ||||||||
\(927\) | −9.19508 | + | 6.19269i | −0.302006 | + | 0.203395i | ||||
\(928\) | − | 34.4450i | − | 1.13071i | ||||||
\(929\) | 10.7740i | 0.353482i | 0.984257 | + | 0.176741i | \(0.0565555\pi\) | ||||
−0.984257 | + | 0.176741i | \(0.943445\pi\) | |||||||
\(930\) | −13.6535 | − | 7.26589i | −0.447715 | − | 0.238258i | ||||
\(931\) | 9.08591 | + | 23.1425i | 0.297779 | + | 0.758464i | ||||
\(932\) | 23.2395i | 0.761235i | ||||||||
\(933\) | −17.5606 | + | 32.9984i | −0.574907 | + | 1.08032i | ||||
\(934\) | 18.5807 | 0.607978 | ||||||||
\(935\) | 0.386597i | 0.0126431i | ||||||||
\(936\) | −1.32596 | + | 38.7941i | −0.0433404 | + | 1.26803i | ||||
\(937\) | − | 20.6069i | − | 0.673197i | −0.941648 | − | 0.336598i | \(-0.890724\pi\) | ||
0.941648 | − | 0.336598i | \(-0.109276\pi\) | |||||||
\(938\) | 19.1151 | + | 13.0308i | 0.624129 | + | 0.425469i | ||||
\(939\) | −13.9707 | − | 7.43472i | −0.455918 | − | 0.242623i | ||||
\(940\) | 12.5312 | 0.408724 | ||||||||
\(941\) | − | 3.11651i | − | 0.101595i | −0.998709 | − | 0.0507977i | \(-0.983824\pi\) | ||
0.998709 | − | 0.0507977i | \(-0.0161764\pi\) | |||||||
\(942\) | −64.6136 | − | 34.3850i | −2.10522 | − | 1.12032i | ||||
\(943\) | −10.4166 | −0.339212 | ||||||||
\(944\) | − | 1.40187i | − | 0.0456271i | ||||||
\(945\) | 6.22972 | + | 3.36042i | 0.202653 | + | 0.109315i | ||||
\(946\) | 1.88181 | 0.0611830 | ||||||||
\(947\) | 18.1393 | 0.589449 | 0.294724 | − | 0.955582i | \(-0.404772\pi\) | ||||
0.294724 | + | 0.955582i | \(0.404772\pi\) | |||||||
\(948\) | 28.0810 | − | 52.7677i | 0.912030 | − | 1.71381i | ||||
\(949\) | 19.9675 | + | 14.4631i | 0.648174 | + | 0.469493i | ||||
\(950\) | 39.5347 | 1.28268 | ||||||||
\(951\) | −0.621134 | + | 1.16719i | −0.0201416 | + | 0.0378486i | ||||
\(952\) | 1.92273 | − | 2.82049i | 0.0623160 | − | 0.0914125i | ||||
\(953\) | 14.9948i | 0.485728i | 0.970060 | + | 0.242864i | \(0.0780869\pi\) | ||||
−0.970060 | + | 0.242864i | \(0.921913\pi\) | |||||||
\(954\) | −53.8762 | + | 36.2845i | −1.74431 | + | 1.17475i | ||||
\(955\) | −2.39483 | −0.0774949 | ||||||||
\(956\) | −19.1943 | −0.620788 | ||||||||
\(957\) | −28.0220 | − | 14.9123i | −0.905824 | − | 0.482047i | ||||
\(958\) | 33.7365i | 1.08998i | ||||||||
\(959\) | 14.8121 | − | 21.7282i | 0.478309 | − | 0.701640i | ||||
\(960\) | 9.44258 | + | 5.02500i | 0.304758 | + | 0.162181i | ||||
\(961\) | 23.4271 | 0.755713 | ||||||||
\(962\) | −13.7716 | + | 19.0128i | −0.444013 | + | 0.612998i | ||||
\(963\) | −34.1406 | + | 22.9930i | −1.10017 | + | 0.740938i | ||||
\(964\) | −5.08917 | −0.163911 | ||||||||
\(965\) | 5.02894 | 0.161887 | ||||||||
\(966\) | 18.4913 | − | 9.70706i | 0.594947 | − | 0.312319i | ||||
\(967\) | 16.0005i | 0.514543i | 0.966339 | + | 0.257271i | \(0.0828234\pi\) | ||||
−0.966339 | + | 0.257271i | \(0.917177\pi\) | |||||||
\(968\) | 23.8216 | 0.765655 | ||||||||
\(969\) | 1.03902 | − | 1.95245i | 0.0333782 | − | 0.0627217i | ||||
\(970\) | 10.0991i | 0.324262i | ||||||||
\(971\) | 4.89419 | 0.157062 | 0.0785310 | − | 0.996912i | \(-0.474977\pi\) | ||||
0.0785310 | + | 0.996912i | \(0.474977\pi\) | |||||||
\(972\) | 35.2613 | + | 42.1742i | 1.13101 | + | 1.35274i | ||||
\(973\) | −2.72976 | − | 1.86088i | −0.0875120 | − | 0.0596571i | ||||
\(974\) | 75.1621i | 2.40835i | ||||||||
\(975\) | 26.5627 | − | 12.9915i | 0.850687 | − | 0.416061i | ||||
\(976\) | 14.9176i | 0.477500i | ||||||||
\(977\) | −9.36851 | −0.299725 | −0.149863 | − | 0.988707i | \(-0.547883\pi\) | ||||
−0.149863 | + | 0.988707i | \(0.547883\pi\) | |||||||
\(978\) | −59.0998 | − | 31.4508i | −1.88980 | − | 1.00568i | ||||
\(979\) | 31.4251i | 1.00435i | ||||||||
\(980\) | −11.8307 | + | 4.64483i | −0.377918 | + | 0.148374i | ||||
\(981\) | −27.0264 | + | 18.2017i | −0.862885 | + | 0.581135i | ||||
\(982\) | 42.9311i | 1.36999i | ||||||||
\(983\) | 15.8015i | 0.503989i | 0.967729 | + | 0.251994i | \(0.0810865\pi\) | ||||
−0.967729 | + | 0.251994i | \(0.918914\pi\) | |||||||
\(984\) | 29.4838 | + | 15.6902i | 0.939909 | + | 0.500186i | ||||
\(985\) | − | 10.3067i | − | 0.328399i | ||||||
\(986\) | − | 7.41651i | − | 0.236190i | ||||||
\(987\) | 28.0033 | − | 14.7004i | 0.891353 | − | 0.467919i | ||||
\(988\) | −36.5740 | − | 26.4917i | −1.16357 | − | 0.842813i | ||||
\(989\) | 0.743015i | 0.0236265i | ||||||||
\(990\) | 6.29017 | − | 4.23629i | 0.199915 | − | 0.134638i | ||||
\(991\) | −26.5667 | −0.843918 | −0.421959 | − | 0.906615i | \(-0.638657\pi\) | ||||
−0.421959 | + | 0.906615i | \(0.638657\pi\) | |||||||
\(992\) | −28.9591 | −0.919453 | ||||||||
\(993\) | 10.6371 | + | 5.66070i | 0.337560 | + | 0.179637i | ||||
\(994\) | −9.77625 | + | 14.3409i | −0.310084 | + | 0.454867i | ||||
\(995\) | −8.28406 | −0.262622 | ||||||||
\(996\) | 80.3043 | + | 42.7350i | 2.54454 | + | 1.35411i | ||||
\(997\) | 60.4042i | 1.91302i | 0.291700 | + | 0.956510i | \(0.405779\pi\) | ||||
−0.291700 | + | 0.956510i | \(0.594221\pi\) | |||||||
\(998\) | − | 64.1855i | − | 2.03176i | ||||||
\(999\) | 1.48915 | + | 14.3146i | 0.0471146 | + | 0.452894i |
(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.g.a.272.3 | yes | 32 | |
3.2 | odd | 2 | inner | 273.2.g.a.272.29 | yes | 32 | |
7.6 | odd | 2 | inner | 273.2.g.a.272.2 | yes | 32 | |
13.12 | even | 2 | inner | 273.2.g.a.272.31 | yes | 32 | |
21.20 | even | 2 | inner | 273.2.g.a.272.32 | yes | 32 | |
39.38 | odd | 2 | inner | 273.2.g.a.272.1 | ✓ | 32 | |
91.90 | odd | 2 | inner | 273.2.g.a.272.30 | yes | 32 | |
273.272 | even | 2 | inner | 273.2.g.a.272.4 | yes | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.g.a.272.1 | ✓ | 32 | 39.38 | odd | 2 | inner | |
273.2.g.a.272.2 | yes | 32 | 7.6 | odd | 2 | inner | |
273.2.g.a.272.3 | yes | 32 | 1.1 | even | 1 | trivial | |
273.2.g.a.272.4 | yes | 32 | 273.272 | even | 2 | inner | |
273.2.g.a.272.29 | yes | 32 | 3.2 | odd | 2 | inner | |
273.2.g.a.272.30 | yes | 32 | 91.90 | odd | 2 | inner | |
273.2.g.a.272.31 | yes | 32 | 13.12 | even | 2 | inner | |
273.2.g.a.272.32 | yes | 32 | 21.20 | even | 2 | inner |