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 | 272.31 | ||
Character | \(\chi\) | \(=\) | 273.272 |
Dual form | 273.2.g.a.272.32 |
$q$-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 | \(-0.187682\pi\) | ||||
0.831152 | + | 0.556045i | \(0.187682\pi\) | |||||||
\(3\) | 0.813690 | − | 1.52902i | 0.469784 | − | 0.882781i | ||||
\(4\) | 3.52651 | 1.76326 | ||||||||
\(5\) | 0.514868i | 0.230256i | 0.993351 | + | 0.115128i | \(0.0367278\pi\) | ||||
−0.993351 | + | 0.115128i | \(0.963272\pi\) | |||||||
\(6\) | 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 | \(-0.601956\pi\) | ||||
−0.314855 | + | 0.949140i | \(0.601956\pi\) | |||||||
\(12\) | 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 | \(-0.366431\pi\) | ||||
0.407412 | + | 0.913244i | \(0.366431\pi\) | |||||||
\(20\) | 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 | \(-0.269488\pi\) | ||||
0.662517 | + | 0.749047i | \(0.269488\pi\) | |||||||
\(32\) | −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 | \(0.0731104\pi\) | ||||
−0.973739 | + | 0.227669i | \(0.926890\pi\) | |||||||
\(38\) | 8.34962 | 1.35449 | ||||||||
\(39\) | 0.857984 | + | 6.18578i | 0.137387 | + | 0.990517i | ||||
\(40\) | 1.84766i | 0.292141i | ||||||||
\(41\) | 5.37332i | 0.839172i | 0.907716 | + | 0.419586i | \(0.137825\pi\) | ||||
−0.907716 | + | 0.419586i | \(0.862175\pi\) | |||||||
\(42\) | 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 | \(-0.832099\pi\) | ||
0.864081 | − | 0.503354i | \(-0.167901\pi\) | |||||||
\(48\) | 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 | \(0.0210140\pi\) | ||||
−0.997822 | + | 0.0659696i | \(0.978986\pi\) | |||||||
\(60\) | 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 | \(0.0729574\pi\) | ||||
−0.973848 | + | 0.227201i | \(0.927043\pi\) | |||||||
\(68\) | −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 | \(-0.552951\pi\) | ||||
−0.165585 | + | 0.986196i | \(0.552951\pi\) | |||||||
\(72\) | −6.01386 | − | 8.92955i | −0.708740 | − | 1.05236i | ||||
\(73\) | −6.83815 | −0.800345 | −0.400173 | − | 0.916440i | \(-0.631050\pi\) | ||||
−0.400173 | + | 0.916440i | \(0.631050\pi\) | |||||||
\(74\) | 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 | ||||
\(78\) | 2.01700 | + | 14.5419i | 0.228380 | + | 1.64654i | ||||
\(79\) | 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 | \(-0.695440\pi\) | ||
0.576136 | − | 0.817354i | \(-0.304560\pi\) | |||||||
\(84\) | 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 | \(-0.706171\pi\) | ||
0.603358 | − | 0.797470i | \(-0.293829\pi\) | |||||||
\(90\) | 3.01179 | − | 2.02838i | 0.317471 | − | 0.213810i | ||||
\(91\) | −0.272125 | − | 9.53551i | −0.0285265 | − | 0.999593i | ||||
\(92\) | − | 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 | \(-0.639230\pi\) | ||||
−0.423588 | + | 0.905855i | \(0.639230\pi\) | |||||||
\(98\) | −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 | \(0.174130\pi\) | ||||
−0.854065 | + | 0.520166i | \(0.825870\pi\) | |||||||
\(110\) | − | 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 | ||||||
\(117\) | 10.1563 | + | 3.72143i | 0.938953 | + | 0.344046i | ||||
\(118\) | 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 | \(-0.639579\pi\) | ||||
−0.424582 | + | 0.905390i | \(0.639579\pi\) | |||||||
\(138\) | −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 | \(-0.297236\pi\) | ||||
0.594789 | + | 0.803882i | \(0.297236\pi\) | |||||||
\(150\) | 9.05725 | − | 17.0197i | 0.739522 | − | 1.38965i | ||||
\(151\) | 3.27828i | 0.266783i | 0.991063 | + | 0.133391i | \(0.0425867\pi\) | ||||
−0.991063 | + | 0.133391i | \(0.957413\pi\) | |||||||
\(152\) | 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 | ||||||||
\(156\) | 3.02569 | + | 21.8142i | 0.242249 | + | 1.74654i | ||||
\(157\) | 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 | \(-0.777313\pi\) | ||
0.765104 | − | 0.643907i | \(-0.222687\pi\) | |||||||
\(164\) | 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 | \(0.147642\pi\) | ||||
−0.894346 | + | 0.447376i | \(0.852358\pi\) | |||||||
\(168\) | 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 | \(0.918062\pi\) | |||||||
\(182\) | −0.639726 | − | 22.4166i | −0.0474197 | − | 1.66163i | ||||
\(183\) | 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 | \(-0.885659\pi\) | ||
0.936174 | − | 0.351538i | \(-0.114341\pi\) | |||||||
\(194\) | −19.6149 | −1.40827 | ||||||||
\(195\) | −3.18486 | + | 0.441749i | −0.228073 | + | 0.0316343i | ||||
\(196\) | −9.02139 | − | 22.9781i | −0.644385 | − | 1.64129i | ||||
\(197\) | −20.0181 | −1.42623 | −0.713116 | − | 0.701046i | \(-0.752717\pi\) | ||||
−0.713116 | + | 0.701046i | \(0.752717\pi\) | |||||||
\(198\) | 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 | \(-0.347526\pi\) | ||||
0.460903 | + | 0.887450i | \(0.347526\pi\) | |||||||
\(224\) | 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 | \(0.186499\pi\) | ||||
−0.833213 | + | 0.552953i | \(0.813501\pi\) | |||||||
\(228\) | 10.1917 | − | 19.1514i | 0.674961 | − | 1.26833i | ||||
\(229\) | −24.1786 | −1.59777 | −0.798883 | − | 0.601486i | \(-0.794576\pi\) | ||||
−0.798883 | + | 0.601486i | \(0.794576\pi\) | |||||||
\(230\) | 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 | \(0.930744\pi\) | |||||||
\(234\) | 23.8760 | + | 8.74854i | 1.56083 | + | 0.571910i | ||||
\(235\) | 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 | \(-0.443673\pi\) | ||||
0.176034 | + | 0.984384i | \(0.443673\pi\) | |||||||
\(240\) | 1.08898 | + | 0.579515i | 0.0702932 | + | 0.0374075i | ||||
\(241\) | 1.44312 | 0.0929593 | 0.0464797 | − | 0.998919i | \(-0.485200\pi\) | ||||
0.0464797 | + | 0.998919i | \(0.485200\pi\) | |||||||
\(242\) | −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 | \(-0.513648\pi\) | ||||
−0.0428636 | + | 0.999081i | \(0.513648\pi\) | |||||||
\(272\) | −0.497318 | −0.0301543 | ||||||||
\(273\) | −14.8014 | − | 7.34287i | −0.895823 | − | 0.444410i | ||||
\(274\) | −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 | \(-0.658326\pi\) | ||||
−0.477139 | + | 0.878828i | \(0.658326\pi\) | |||||||
\(282\) | −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 | \(0.253286\pi\) | ||||
−0.699769 | + | 0.714369i | \(0.746714\pi\) | |||||||
\(294\) | −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 | \(-0.409431\pi\) | ||||
0.280707 | + | 0.959793i | \(0.409431\pi\) | |||||||
\(308\) | 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 | \(0.709588\pi\) | |||||||
\(312\) | 3.07897 | + | 22.1984i | 0.174313 | + | 1.25674i | ||||
\(313\) | − | 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 | \(-0.493176\pi\) | ||||
0.0214371 | + | 0.999770i | \(0.493176\pi\) | |||||||
\(318\) | 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 | \(-0.938765\pi\) | ||
0.981553 | − | 0.191191i | \(-0.0612350\pi\) | |||||||
\(332\) | − | 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 | \(-0.430427\pi\) | ||||
0.216834 | + | 0.976208i | \(0.430427\pi\) | |||||||
\(350\) | −16.5884 | + | 24.3338i | −0.886686 | + | 1.30070i | ||||
\(351\) | 13.9543 | − | 12.5012i | 0.744823 | − | 0.667262i | ||||
\(352\) | 8.19814 | 0.436962 | ||||||||
\(353\) | − | 25.1410i | − | 1.33812i | −0.743209 | − | 0.669059i | \(-0.766697\pi\) | ||
0.743209 | − | 0.669059i | \(-0.233303\pi\) | |||||||
\(354\) | 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 | \(-0.446946\pi\) | ||||
0.165904 | + | 0.986142i | \(0.446946\pi\) | |||||||
\(360\) | 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 | ||||
\(364\) | −0.959653 | − | 33.6271i | −0.0502995 | − | 1.76254i | ||||
\(365\) | − | 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 | \(-0.900306\pi\) | ||
0.951353 | − | 0.308102i | \(-0.0996938\pi\) | |||||||
\(380\) | 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 | \(-0.912904\pi\) | ||
0.962799 | − | 0.270220i | \(-0.0870964\pi\) | |||||||
\(384\) | −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 | \(0.843375\pi\) | |||||||
\(390\) | −7.48715 | + | 1.03849i | −0.379126 | + | 0.0525859i | ||||
\(391\) | 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 | \(-0.606666\pi\) | ||||
−0.328864 | + | 0.944377i | \(0.606666\pi\) | |||||||
\(398\) | − | 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 | \(-0.518802\pi\) | ||||
−0.0590341 | + | 0.998256i | \(0.518802\pi\) | |||||||
\(402\) | 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 | \(-0.306525\pi\) | ||||
0.571078 | + | 0.820896i | \(0.306525\pi\) | |||||||
\(410\) | −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 | \(-0.579386\pi\) | ||
0.246820 | − | 0.969061i | \(-0.420614\pi\) | |||||||
\(422\) | 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 | ||||||
\(429\) | −1.79191 | − | 12.9191i | −0.0865143 | − | 0.623739i | ||||
\(430\) | − | 0.463911i | − | 0.0223718i | ||||||
\(431\) | 36.2007 | 1.74372 | 0.871862 | − | 0.489751i | \(-0.162912\pi\) | ||||
0.871862 | + | 0.489751i | \(0.162912\pi\) | |||||||
\(432\) | −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 | \(-0.103689\pi\) | ||||
0.947411 | + | 0.320019i | \(0.103689\pi\) | |||||||
\(450\) | −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 | ||||||||
\(455\) | 4.90953 | − | 0.140109i | 0.230162 | − | 0.00656839i | ||||
\(456\) | 10.3711 | − | 19.4886i | 0.485674 | − | 0.912639i | ||||
\(457\) | 0.467674i | 0.0218769i | 0.999940 | + | 0.0109384i | \(0.00348188\pi\) | ||||
−0.999940 | + | 0.0109384i | \(0.996518\pi\) | |||||||
\(458\) | −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 | \(-0.793130\pi\) | ||
0.796144 | − | 0.605107i | \(-0.206870\pi\) | |||||||
\(462\) | −10.4578 | − | 19.9214i | −0.486541 | − | 0.926827i | ||||
\(463\) | 18.8412i | 0.875625i | 0.899066 | + | 0.437812i | \(0.144247\pi\) | ||||
−0.899066 | + | 0.437812i | \(0.855753\pi\) | |||||||
\(464\) | − | 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 | \(0.558539\pi\) | |||||||
\(468\) | 35.8164 | + | 13.1237i | 1.65562 | + | 0.606642i | ||||
\(469\) | −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 | \(0.106324\pi\) | ||||
−0.944730 | + | 0.327851i | \(0.893676\pi\) | |||||||
\(480\) | −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 | \(0.257883\pi\) | ||||
−0.689380 | + | 0.724400i | \(0.742117\pi\) | |||||||
\(488\) | 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 | \(-0.790717\pi\) | ||
0.791533 | − | 0.611127i | \(-0.209283\pi\) | |||||||
\(500\) | 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 | ||||||||
\(507\) | −15.5886 | − | 16.2479i | −0.692316 | − | 0.721595i | ||||
\(508\) | 28.6289 | 1.27020 | ||||||||
\(509\) | 19.8553i | 0.880069i | 0.897981 | + | 0.440034i | \(0.145034\pi\) | ||||
−0.897981 | + | 0.440034i | \(0.854966\pi\) | |||||||
\(510\) | −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 | \(0.259466\pi\) | ||||
−0.685768 | + | 0.727820i | \(0.740534\pi\) | |||||||
\(542\) | −3.31763 | −0.142505 | ||||||||
\(543\) | 10.4740 | + | 5.57389i | 0.449483 | + | 0.239199i | ||||
\(544\) | 1.41125 | 0.0605067 | ||||||||
\(545\) | −5.59218 | −0.239543 | ||||||||
\(546\) | −34.7960 | − | 17.2620i | −1.48913 | − | 0.738746i | ||||
\(547\) | −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 | \(-0.409124\pi\) | ||||
0.281633 | + | 0.959522i | \(0.409124\pi\) | |||||||
\(558\) | −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 | \(-0.339122\pi\) | ||||
0.484169 | + | 0.874975i | \(0.339122\pi\) | |||||||
\(578\) | −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 | ||||||||
\(585\) | −1.91605 | + | 5.22917i | −0.0792188 | + | 0.216200i | ||||
\(586\) | 57.4926i | 2.37500i | ||||||||
\(587\) | − | 12.5987i | − | 0.520006i | −0.965608 | − | 0.260003i | \(-0.916277\pi\) | ||
0.965608 | − | 0.260003i | \(-0.0837235\pi\) | |||||||
\(588\) | −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 | \(0.212240\pi\) | ||||
−0.785823 | + | 0.618452i | \(0.787760\pi\) | |||||||
\(594\) | 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 | \(-0.803819\pi\) | ||
0.816011 | − | 0.578036i | \(-0.196181\pi\) | |||||||
\(614\) | 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 | \(-0.473136\pi\) | ||||
0.0842949 | + | 0.996441i | \(0.473136\pi\) | |||||||
\(618\) | −13.2829 | − | 7.06867i | −0.534316 | − | 0.284344i | ||||
\(619\) | −8.46124 | −0.340086 | −0.170043 | − | 0.985437i | \(-0.554391\pi\) | ||||
−0.170043 | + | 0.985437i | \(0.554391\pi\) | |||||||
\(620\) | 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 | ||||
\(624\) | 1.18683 | + | 8.55665i | 0.0475112 | + | 0.342540i | ||||
\(625\) | 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 | \(-0.758275\pi\) | ||
0.725248 | − | 0.688488i | \(-0.241725\pi\) | |||||||
\(632\) | 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 | ||||
\(637\) | 21.2512 | + | 13.6156i | 0.842004 | + | 0.539471i | ||||
\(638\) | 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 | \(-0.625123\pi\) | ||||
−0.383041 | + | 0.923731i | \(0.625123\pi\) | |||||||
\(644\) | 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 | \(-0.359010\pi\) | ||||
0.428591 | + | 0.903498i | \(0.359010\pi\) | |||||||
\(662\) | − | 16.3545i | − | 0.635635i | ||||||
\(663\) | −0.308464 | − | 2.22392i | −0.0119797 | − | 0.0863700i | ||||
\(664\) | − | 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 | \(-0.623462\pi\) | ||||
−0.378216 | + | 0.925717i | \(0.623462\pi\) | |||||||
\(684\) | −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 | \(-0.330125\pi\) | ||||
0.508703 | + | 0.860942i | \(0.330125\pi\) | |||||||
\(692\) | 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 | \(0.952305\pi\) | |||||||
\(702\) | 32.8044 | − | 29.3884i | 1.23812 | − | 1.10919i | ||||
\(703\) | 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 | \(0.277731\pi\) | ||||
−0.642901 | + | 0.765949i | \(0.722269\pi\) | |||||||
\(710\) | − | 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 | \(-0.115672\pi\) | |||||||
\(728\) | −0.976552 | − | 34.2193i | −0.0361934 | − | 1.26825i | ||||
\(729\) | 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 | \(-0.696274\pi\) | ||||
−0.578274 | + | 0.815842i | \(0.696274\pi\) | |||||||
\(734\) | − | 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 | \(-0.746085\pi\) | ||
0.698357 | − | 0.715750i | \(-0.253915\pi\) | |||||||
\(740\) | −5.02894 | −0.184868 | ||||||||
\(741\) | 3.04734 | + | 21.9703i | 0.111947 | + | 0.807098i | ||||
\(742\) | −47.3332 | − | 32.2671i | −1.73766 | − | 1.18456i | ||||
\(743\) | −3.18656 | −0.116903 | −0.0584517 | − | 0.998290i | \(-0.518616\pi\) | ||||
−0.0584517 | + | 0.998290i | \(0.518616\pi\) | |||||||
\(744\) | 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 | \(-0.831814\pi\) | ||
0.863629 | − | 0.504127i | \(-0.168186\pi\) | |||||||
\(762\) | 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 | \(-0.298375\pi\) | ||||
0.591907 | + | 0.806006i | \(0.298375\pi\) | |||||||
\(770\) | 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 | \(0.107438\pi\) | ||||
−0.943576 | + | 0.331155i | \(0.892562\pi\) | |||||||
\(774\) | 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 | ||||||||
\(780\) | −11.2315 | + | 1.55783i | −0.402151 | + | 0.0557794i | ||||
\(781\) | 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 | \(-0.199640\pi\) | ||||
0.809682 | + | 0.586869i | \(0.199640\pi\) | |||||||
\(788\) | −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 | \(-0.539293\pi\) | ||||
−0.123130 | + | 0.992391i | \(0.539293\pi\) | |||||||
\(812\) | 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 | ||||||||
\(819\) | −23.2712 | + | 16.6569i | −0.813161 | + | 0.582039i | ||||
\(820\) | −9.75630 | −0.340705 | ||||||||
\(821\) | −44.6315 | −1.55765 | −0.778824 | − | 0.627242i | \(-0.784184\pi\) | ||||
−0.778824 | + | 0.627242i | \(0.784184\pi\) | |||||||
\(822\) | −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 | \(-0.611224\pi\) | ||||
−0.342352 | + | 0.939572i | \(0.611224\pi\) | |||||||
\(828\) | −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 | \(0.141955\pi\) | ||||
−0.902195 | + | 0.431327i | \(0.858045\pi\) | |||||||
\(840\) | −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 | \(-0.762865\pi\) | ||||
−0.735101 | + | 0.677958i | \(0.762865\pi\) | |||||||
\(854\) | −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 | \(0.224705\pi\) | |||||||
\(858\) | −4.21252 | − | 30.3709i | −0.143813 | − | 1.03685i | ||||
\(859\) | 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 | \(-0.784988\pi\) | ||||
−0.780407 | + | 0.625272i | \(0.784988\pi\) | |||||||
\(864\) | 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 | \(0.286139\pi\) | ||||
−0.622445 | + | 0.782664i | \(0.713861\pi\) | |||||||
\(878\) | − | 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 | ||||
\(897\) | 11.9917 | − | 1.66327i | 0.400390 | − | 0.0555351i | ||||
\(898\) | 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 | ||||
\(910\) | 11.5416 | − | 0.329375i | 0.382600 | − | 0.0109187i | ||||
\(911\) | − | 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 | \(-0.943445\pi\) | ||
0.984257 | − | 0.176741i | \(-0.0565555\pi\) | |||||||
\(930\) | 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 | ||||||||
\(936\) | 36.4471 | + | 13.3548i | 1.19131 | + | 0.436515i | ||||
\(937\) | − | 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 | \(0.0161764\pi\) | ||||
−0.998709 | + | 0.0507977i | \(0.983824\pi\) | |||||||
\(942\) | 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 | \(-0.595228\pi\) | ||||
−0.294724 | + | 0.955582i | \(0.595228\pi\) | |||||||
\(948\) | 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 | \(-0.917177\pi\) | ||
0.966339 | − | 0.257271i | \(-0.0828234\pi\) | |||||||
\(968\) | −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 | ||||||||
\(975\) | 4.06248 | + | 29.2891i | 0.130103 | + | 0.938002i | ||||
\(976\) | 14.9176i | 0.477500i | ||||||||
\(977\) | 9.36851 | 0.299725 | 0.149863 | − | 0.988707i | \(-0.452117\pi\) | ||||
0.149863 | + | 0.988707i | \(0.452117\pi\) | |||||||
\(978\) | −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 | \(-0.918914\pi\) | ||
0.967729 | − | 0.251994i | \(-0.0810865\pi\) | |||||||
\(984\) | 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.272.31 | yes | 32 | |
3.2 | odd | 2 | inner | 273.2.g.a.272.1 | ✓ | 32 | |
7.6 | odd | 2 | inner | 273.2.g.a.272.30 | yes | 32 | |
13.12 | even | 2 | inner | 273.2.g.a.272.3 | yes | 32 | |
21.20 | even | 2 | inner | 273.2.g.a.272.4 | yes | 32 | |
39.38 | odd | 2 | inner | 273.2.g.a.272.29 | yes | 32 | |
91.90 | odd | 2 | inner | 273.2.g.a.272.2 | yes | 32 | |
273.272 | even | 2 | inner | 273.2.g.a.272.32 | yes | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.g.a.272.1 | ✓ | 32 | 3.2 | odd | 2 | inner | |
273.2.g.a.272.2 | yes | 32 | 91.90 | odd | 2 | inner | |
273.2.g.a.272.3 | yes | 32 | 13.12 | even | 2 | inner | |
273.2.g.a.272.4 | yes | 32 | 21.20 | even | 2 | inner | |
273.2.g.a.272.29 | yes | 32 | 39.38 | odd | 2 | inner | |
273.2.g.a.272.30 | yes | 32 | 7.6 | odd | 2 | inner | |
273.2.g.a.272.31 | yes | 32 | 1.1 | even | 1 | trivial | |
273.2.g.a.272.32 | yes | 32 | 273.272 | even | 2 | inner |