Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [380,2,Mod(61,380)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(380, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("380.61");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 380 = 2^{2} \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 380.u (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.03431527681\) |
Analytic rank: | \(0\) |
Dimension: | \(18\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{9})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{18} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{18} - 3 x^{17} + 21 x^{16} - 30 x^{15} + 192 x^{14} - 207 x^{13} + 1178 x^{12} - 705 x^{11} + \cdots + 5329 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 301.2 | ||
Root | \(0.546970 + 0.947380i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 380.301 |
Dual form | 380.2.u.b.101.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/380\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(77\) | \(191\) |
\(\chi(n)\) | \(e\left(\frac{2}{9}\right)\) | \(1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 1.02797 | − | 0.374150i | 0.593498 | − | 0.216015i | −0.0277695 | − | 0.999614i | \(-0.508840\pi\) |
0.621267 | + | 0.783599i | \(0.286618\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 0.173648 | − | 0.984808i | 0.0776578 | − | 0.440419i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.81409 | − | 3.14209i | −0.685661 | − | 1.18760i | −0.973229 | − | 0.229839i | \(-0.926180\pi\) |
0.287568 | − | 0.957760i | \(-0.407153\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −1.38140 | + | 1.15914i | −0.460468 | + | 0.386378i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 2.71941 | − | 4.71016i | 0.819933 | − | 1.42017i | −0.0857978 | − | 0.996313i | \(-0.527344\pi\) |
0.905731 | − | 0.423853i | \(-0.139323\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.31766 | + | 0.479589i | 0.365453 | + | 0.133014i | 0.518218 | − | 0.855248i | \(-0.326596\pi\) |
−0.152765 | + | 0.988263i | \(0.548818\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −0.189961 | − | 1.07732i | −0.0490477 | − | 0.278163i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −2.12355 | − | 1.78187i | −0.515037 | − | 0.432168i | 0.347860 | − | 0.937546i | \(-0.386908\pi\) |
−0.862898 | + | 0.505379i | \(0.831353\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 1.94623 | − | 3.90028i | 0.446496 | − | 0.894786i | ||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −3.04044 | − | 2.55123i | −0.663478 | − | 0.556724i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 1.15141 | + | 6.52999i | 0.240086 | + | 1.36160i | 0.831632 | + | 0.555327i | \(0.187407\pi\) |
−0.591546 | + | 0.806271i | \(0.701482\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.939693 | − | 0.342020i | −0.187939 | − | 0.0684040i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −2.62726 | + | 4.55055i | −0.505616 | + | 0.875753i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 4.29734 | − | 3.60589i | 0.797995 | − | 0.669597i | −0.149715 | − | 0.988729i | \(-0.547836\pi\) |
0.947710 | + | 0.319132i | \(0.103391\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 5.34951 | + | 9.26562i | 0.960800 | + | 1.66416i | 0.720498 | + | 0.693457i | \(0.243913\pi\) |
0.240302 | + | 0.970698i | \(0.422753\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 1.03316 | − | 5.85936i | 0.179851 | − | 1.01998i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −3.40937 | + | 1.24091i | −0.576289 | + | 0.209752i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −3.37063 | −0.554128 | −0.277064 | − | 0.960851i | \(-0.589361\pi\) | ||||
−0.277064 | + | 0.960851i | \(0.589361\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 1.53395 | 0.245629 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −2.35936 | + | 0.858738i | −0.368471 | + | 0.134112i | −0.519618 | − | 0.854399i | \(-0.673926\pi\) |
0.151147 | + | 0.988511i | \(0.451703\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 1.84304 | − | 10.4524i | 0.281061 | − | 1.59397i | −0.437965 | − | 0.898992i | \(-0.644301\pi\) |
0.719026 | − | 0.694983i | \(-0.244588\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0.901647 | + | 1.56170i | 0.134410 | + | 0.232804i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 3.67626 | − | 3.08475i | 0.536238 | − | 0.449957i | −0.334011 | − | 0.942569i | \(-0.608402\pi\) |
0.870249 | + | 0.492612i | \(0.163958\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −3.08183 | + | 5.33789i | −0.440262 | + | 0.762556i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −2.84963 | − | 1.03718i | −0.399028 | − | 0.145234i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 1.60632 | + | 9.10987i | 0.220645 | + | 1.25134i | 0.870839 | + | 0.491569i | \(0.163577\pi\) |
−0.650194 | + | 0.759768i | \(0.725312\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −4.16638 | − | 3.49601i | −0.561794 | − | 0.471401i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0.541374 | − | 4.73754i | 0.0717067 | − | 0.627503i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 1.79251 | + | 1.50409i | 0.233365 | + | 0.195816i | 0.751970 | − | 0.659198i | \(-0.229104\pi\) |
−0.518605 | + | 0.855014i | \(0.673548\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −0.509501 | − | 2.88952i | −0.0652349 | − | 0.369965i | −0.999896 | − | 0.0144254i | \(-0.995408\pi\) |
0.934661 | − | 0.355540i | \(-0.115703\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 6.14810 | + | 2.23772i | 0.774588 | + | 0.281927i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 0.701112 | − | 1.21436i | 0.0869623 | − | 0.150623i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −1.64930 | + | 1.38393i | −0.201494 | + | 0.169074i | −0.737951 | − | 0.674854i | \(-0.764207\pi\) |
0.536457 | + | 0.843927i | \(0.319762\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 3.62681 | + | 6.28182i | 0.436617 | + | 0.756243i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −2.83920 | + | 16.1019i | −0.336951 | + | 1.91094i | 0.0701015 | + | 0.997540i | \(0.477668\pi\) |
−0.407053 | + | 0.913405i | \(0.633443\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −12.1383 | + | 4.41799i | −1.42068 | + | 0.517087i | −0.934246 | − | 0.356628i | \(-0.883926\pi\) |
−0.486438 | + | 0.873715i | \(0.661704\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −1.09394 | −0.126317 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −19.7330 | −2.24878 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 10.7051 | − | 3.89632i | 1.20441 | − | 0.438371i | 0.339651 | − | 0.940552i | \(-0.389691\pi\) |
0.864763 | + | 0.502181i | \(0.167469\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −0.0587363 | + | 0.333110i | −0.00652625 | + | 0.0370122i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 5.51438 | + | 9.55118i | 0.605281 | + | 1.04838i | 0.992007 | + | 0.126183i | \(0.0402727\pi\) |
−0.386726 | + | 0.922195i | \(0.626394\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −2.12355 | + | 1.78187i | −0.230332 | + | 0.193271i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 3.06838 | − | 5.31459i | 0.328965 | − | 0.569784i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 10.5328 | + | 3.83361i | 1.11647 | + | 0.406362i | 0.833363 | − | 0.552726i | \(-0.186412\pi\) |
0.283108 | + | 0.959088i | \(0.408635\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.883438 | − | 5.01023i | −0.0926095 | − | 0.525215i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 8.96585 | + | 7.52325i | 0.929716 | + | 0.780124i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −3.50307 | − | 2.59394i | −0.359407 | − | 0.266133i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −7.22724 | − | 6.06437i | −0.733815 | − | 0.615744i | 0.197354 | − | 0.980332i | \(-0.436765\pi\) |
−0.931169 | + | 0.364589i | \(0.881210\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 1.70311 | + | 9.65879i | 0.171169 | + | 0.970745i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 7.41652 | + | 2.69939i | 0.737972 | + | 0.268600i | 0.683535 | − | 0.729918i | \(-0.260442\pi\) |
0.0544364 | + | 0.998517i | \(0.482664\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 4.82309 | − | 8.35384i | 0.475233 | − | 0.823129i | −0.524364 | − | 0.851494i | \(-0.675697\pi\) |
0.999598 | + | 0.0283656i | \(0.00903026\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −3.04044 | + | 2.55123i | −0.296716 | + | 0.248975i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −0.380492 | − | 0.659031i | −0.0367835 | − | 0.0637109i | 0.847048 | − | 0.531517i | \(-0.178378\pi\) |
−0.883831 | + | 0.467806i | \(0.845045\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −2.75235 | + | 15.6093i | −0.263627 | + | 1.49510i | 0.509290 | + | 0.860595i | \(0.329908\pi\) |
−0.772917 | + | 0.634507i | \(0.781203\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −3.46490 | + | 1.26112i | −0.328874 | + | 0.119700i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −7.02323 | −0.660690 | −0.330345 | − | 0.943860i | \(-0.607165\pi\) | ||||
−0.330345 | + | 0.943860i | \(0.607165\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 6.63073 | 0.618319 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −2.37613 | + | 0.864840i | −0.219673 | + | 0.0799545i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −1.74650 | + | 9.90488i | −0.160101 | + | 0.907979i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −9.29039 | − | 16.0914i | −0.844581 | − | 1.46286i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −2.10405 | + | 1.76551i | −0.189716 | + | 0.159191i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −0.500000 | + | 0.866025i | −0.0447214 | + | 0.0774597i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −12.0843 | − | 4.39833i | −1.07231 | − | 0.390289i | −0.255270 | − | 0.966870i | \(-0.582164\pi\) |
−0.817040 | + | 0.576581i | \(0.804386\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −2.01618 | − | 11.4343i | −0.177514 | − | 1.00673i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 6.68167 | + | 5.60659i | 0.583780 | + | 0.489850i | 0.886186 | − | 0.463329i | \(-0.153345\pi\) |
−0.302406 | + | 0.953179i | \(0.597790\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −15.7857 | + | 0.960215i | −1.36879 | + | 0.0832612i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 4.02519 | + | 3.37754i | 0.346434 | + | 0.290692i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 1.56695 | + | 8.88664i | 0.133874 | + | 0.759237i | 0.975637 | + | 0.219390i | \(0.0704068\pi\) |
−0.841763 | + | 0.539847i | \(0.818482\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −1.34030 | − | 0.487829i | −0.113683 | − | 0.0413771i | 0.284552 | − | 0.958660i | \(-0.408155\pi\) |
−0.398235 | + | 0.917283i | \(0.630377\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 2.62492 | − | 4.54650i | 0.221058 | − | 0.382884i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 5.84220 | − | 4.90219i | 0.488549 | − | 0.409941i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −2.80489 | − | 4.85821i | −0.232933 | − | 0.403452i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −1.17086 | + | 6.64025i | −0.0965705 | + | 0.547679i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 7.15124 | − | 2.60284i | 0.585852 | − | 0.213233i | −0.0320520 | − | 0.999486i | \(-0.510204\pi\) |
0.617904 | + | 0.786253i | \(0.287982\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −0.549782 | −0.0447406 | −0.0223703 | − | 0.999750i | \(-0.507121\pi\) | ||||
−0.0223703 | + | 0.999750i | \(0.507121\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 4.99892 | 0.404138 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 10.0538 | − | 3.65928i | 0.807540 | − | 0.293920i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −1.14249 | + | 6.47938i | −0.0911806 | + | 0.517111i | 0.904670 | + | 0.426112i | \(0.140117\pi\) |
−0.995851 | + | 0.0909989i | \(0.970994\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 5.05970 | + | 8.76366i | 0.401260 | + | 0.695003i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 18.4291 | − | 15.4638i | 1.45242 | − | 1.21872i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 7.67500 | − | 13.2935i | 0.601153 | − | 1.04123i | −0.391494 | − | 0.920181i | \(-0.628042\pi\) |
0.992647 | − | 0.121046i | \(-0.0386250\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −5.59093 | − | 2.03493i | −0.435254 | − | 0.158419i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −0.778544 | − | 4.41534i | −0.0602456 | − | 0.341670i | 0.939754 | − | 0.341850i | \(-0.111054\pi\) |
−1.00000 | 0.000180770i | \(0.999942\pi\) | ||||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −8.45236 | − | 7.09237i | −0.650181 | − | 0.545567i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 1.83242 | + | 7.64380i | 0.140129 | + | 0.584536i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −11.4578 | − | 9.61423i | −0.871120 | − | 0.730956i | 0.0932138 | − | 0.995646i | \(-0.470286\pi\) |
−0.964334 | + | 0.264690i | \(0.914730\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0.630026 | + | 3.57306i | 0.0476255 | + | 0.270098i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 2.40540 | + | 0.875492i | 0.180801 | + | 0.0658060i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 12.9951 | − | 22.5082i | 0.971300 | − | 1.68234i | 0.279658 | − | 0.960100i | \(-0.409779\pi\) |
0.691642 | − | 0.722241i | \(-0.256888\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 7.32648 | − | 6.14765i | 0.544573 | − | 0.456951i | −0.328525 | − | 0.944495i | \(-0.606552\pi\) |
0.873098 | + | 0.487544i | \(0.162107\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −1.60486 | − | 2.77971i | −0.118635 | − | 0.205482i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −0.585304 | + | 3.31942i | −0.0430324 | + | 0.244049i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −14.1677 | + | 5.15663i | −1.03605 | + | 0.377090i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 19.0643 | 1.38673 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −10.6025 | −0.767172 | −0.383586 | − | 0.923505i | \(-0.625311\pi\) | ||||
−0.383586 | + | 0.923505i | \(0.625311\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 17.7019 | − | 6.44297i | 1.27421 | − | 0.463775i | 0.385698 | − | 0.922625i | \(-0.373961\pi\) |
0.888514 | + | 0.458850i | \(0.151738\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 0.266368 | − | 1.51065i | 0.0190750 | − | 0.108180i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 3.05611 | + | 5.29334i | 0.217739 | + | 0.377135i | 0.954116 | − | 0.299436i | \(-0.0967985\pi\) |
−0.736377 | + | 0.676571i | \(0.763465\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 5.17943 | − | 4.34605i | 0.367160 | − | 0.308084i | −0.440477 | − | 0.897764i | \(-0.645191\pi\) |
0.807637 | + | 0.589680i | \(0.200746\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −1.17763 | + | 2.03972i | −0.0830638 | + | 0.143871i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −19.1258 | − | 6.96122i | −1.34237 | − | 0.488582i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0.435993 | + | 2.47264i | 0.0304511 | + | 0.172697i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −9.15971 | − | 7.68591i | −0.636644 | − | 0.534208i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −13.0783 | − | 19.7735i | −0.904647 | − | 1.36776i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −5.31397 | − | 4.45895i | −0.365829 | − | 0.306967i | 0.441280 | − | 0.897369i | \(-0.354525\pi\) |
−0.807109 | + | 0.590403i | \(0.798969\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 3.10592 | + | 17.6145i | 0.212814 | + | 1.20693i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −9.97356 | − | 3.63008i | −0.680191 | − | 0.247569i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 19.4090 | − | 33.6173i | 1.31757 | − | 2.28209i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −10.8248 | + | 9.08311i | −0.731474 | + | 0.613780i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −1.94356 | − | 3.36634i | −0.130738 | − | 0.226444i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 3.76498 | − | 21.3522i | 0.252122 | − | 1.42985i | −0.551233 | − | 0.834351i | \(-0.685843\pi\) |
0.803355 | − | 0.595501i | \(-0.203046\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 1.69454 | − | 0.616763i | 0.112969 | − | 0.0411175i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 23.7457 | 1.57605 | 0.788027 | − | 0.615640i | \(-0.211103\pi\) | ||||
0.788027 | + | 0.615640i | \(0.211103\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −14.4053 | −0.951928 | −0.475964 | − | 0.879465i | \(-0.657901\pi\) | ||||
−0.475964 | + | 0.879465i | \(0.657901\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −20.2849 | + | 7.38310i | −1.33465 | + | 0.485772i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −3.71518 | + | 21.0698i | −0.243389 | + | 1.38033i | 0.580814 | + | 0.814036i | \(0.302734\pi\) |
−0.824204 | + | 0.566293i | \(0.808377\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −2.39951 | − | 4.15607i | −0.156527 | − | 0.271112i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 9.54665 | − | 8.01059i | 0.620122 | − | 0.520344i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −8.14253 | + | 14.1033i | −0.526697 | + | 0.912265i | 0.472820 | + | 0.881159i | \(0.343236\pi\) |
−0.999516 | + | 0.0311059i | \(0.990097\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 14.2617 | + | 5.19083i | 0.918676 | + | 0.334371i | 0.757711 | − | 0.652590i | \(-0.226317\pi\) |
0.160964 | + | 0.986960i | \(0.448540\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −2.67306 | − | 15.1597i | −0.171477 | − | 0.972493i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 4.72164 | + | 3.96193i | 0.301655 | + | 0.253118i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 4.43500 | − | 4.20585i | 0.282192 | − | 0.267612i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 9.24217 | + | 7.75510i | 0.585699 | + | 0.491460i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 0.706652 | + | 4.00762i | 0.0446035 | + | 0.252959i | 0.998954 | − | 0.0457307i | \(-0.0145616\pi\) |
−0.954350 | + | 0.298689i | \(0.903451\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 33.8885 | + | 12.3344i | 2.13055 | + | 0.775457i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −1.51626 | + | 2.62624i | −0.0949517 | + | 0.164461i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 1.62041 | − | 1.35969i | 0.101079 | − | 0.0848151i | −0.590848 | − | 0.806783i | \(-0.701207\pi\) |
0.691927 | + | 0.721968i | \(0.256762\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 6.11462 | + | 10.5908i | 0.379944 | + | 0.658083i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −1.75664 | + | 9.96238i | −0.108733 | + | 0.616656i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −13.6466 | + | 4.96697i | −0.841487 | + | 0.306276i | −0.726564 | − | 0.687098i | \(-0.758884\pi\) |
−0.114922 | + | 0.993374i | \(0.536662\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 9.25041 | 0.568248 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 12.2617 | 0.750403 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −5.04169 | + | 1.83503i | −0.307397 | + | 0.111884i | −0.491113 | − | 0.871096i | \(-0.663410\pi\) |
0.183715 | + | 0.982979i | \(0.441188\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 1.13162 | − | 6.41774i | 0.0687410 | − | 0.389850i | −0.930954 | − | 0.365138i | \(-0.881022\pi\) |
0.999695 | − | 0.0247122i | \(-0.00786694\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −2.78272 | − | 4.81982i | −0.168418 | − | 0.291709i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −4.16638 | + | 3.49601i | −0.251242 | + | 0.210817i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 1.45749 | − | 2.52445i | 0.0875724 | − | 0.151680i | −0.818912 | − | 0.573919i | \(-0.805422\pi\) |
0.906484 | + | 0.422239i | \(0.138756\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −18.1299 | − | 6.59876i | −1.08541 | − | 0.395057i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −0.417979 | − | 2.37048i | −0.0249345 | − | 0.141411i | 0.969799 | − | 0.243905i | \(-0.0784286\pi\) |
−0.994734 | + | 0.102495i | \(0.967318\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 0.821925 | + | 0.689677i | 0.0488584 | + | 0.0409970i | 0.666890 | − | 0.745156i | \(-0.267625\pi\) |
−0.618031 | + | 0.786153i | \(0.712070\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −4.57156 | − | 1.35582i | −0.270796 | − | 0.0803116i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 6.97833 | + | 5.85551i | 0.411918 | + | 0.345640i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −1.61761 | − | 9.17393i | −0.0951536 | − | 0.539643i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −9.69835 | − | 3.52991i | −0.568527 | − | 0.206927i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −11.6287 | + | 20.1414i | −0.679354 | + | 1.17668i | 0.295822 | + | 0.955243i | \(0.404407\pi\) |
−0.975176 | + | 0.221432i | \(0.928927\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 1.79251 | − | 1.50409i | 0.104364 | − | 0.0875716i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 14.2892 | + | 24.7496i | 0.829143 | + | 1.43612i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −1.61454 | + | 9.15652i | −0.0933713 | + | 0.529535i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −36.1858 | + | 13.1706i | −2.08572 | + | 0.759139i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 8.63393 | 0.496006 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −2.93410 | −0.168006 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −25.6029 | + | 9.31870i | −1.46124 | + | 0.531846i | −0.945705 | − | 0.325025i | \(-0.894627\pi\) |
−0.515530 | + | 0.856871i | \(0.672405\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 1.83240 | − | 10.3920i | 0.104241 | − | 0.591183i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 6.75505 | + | 11.7001i | 0.383044 | + | 0.663451i | 0.991496 | − | 0.130140i | \(-0.0415426\pi\) |
−0.608452 | + | 0.793591i | \(0.708209\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −17.7886 | + | 14.9264i | −1.00547 | + | 0.843692i | −0.987733 | − | 0.156151i | \(-0.950091\pi\) |
−0.0177397 | + | 0.999843i | \(0.505647\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 3.27134 | − | 5.66612i | 0.184319 | − | 0.319250i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −4.96139 | − | 1.80580i | −0.278659 | − | 0.101424i | 0.198910 | − | 0.980018i | \(-0.436260\pi\) |
−0.477569 | + | 0.878594i | \(0.658482\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −5.29810 | − | 30.0470i | −0.296637 | − | 1.68231i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −0.637709 | − | 0.535102i | −0.0355935 | − | 0.0298665i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −11.0827 | + | 4.81452i | −0.616660 | + | 0.267887i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −1.07417 | − | 0.901333i | −0.0595840 | − | 0.0499969i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 3.01090 | + | 17.0757i | 0.166503 | + | 0.944287i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −16.3616 | − | 5.95515i | −0.902046 | − | 0.328318i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −9.73690 | + | 16.8648i | −0.535188 | + | 0.926973i | 0.463966 | + | 0.885853i | \(0.346426\pi\) |
−0.999154 | + | 0.0411202i | \(0.986907\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 4.65620 | − | 3.90702i | 0.255158 | − | 0.214103i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 1.07650 | + | 1.86456i | 0.0588157 | + | 0.101872i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −1.33374 | + | 7.56400i | −0.0726533 | + | 0.412037i | 0.926691 | + | 0.375825i | \(0.122640\pi\) |
−0.999344 | + | 0.0362127i | \(0.988471\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −7.21965 | + | 2.62774i | −0.392118 | + | 0.142719i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 58.1901 | 3.15117 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −3.03436 | −0.163840 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 6.81618 | − | 2.48089i | 0.366971 | − | 0.133566i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 0.443233 | − | 2.51370i | 0.0237940 | − | 0.134942i | −0.970597 | − | 0.240711i | \(-0.922619\pi\) |
0.994391 | + | 0.105769i | \(0.0337304\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −0.851409 | − | 1.47468i | −0.0455749 | − | 0.0789380i | 0.842338 | − | 0.538949i | \(-0.181179\pi\) |
−0.887913 | + | 0.460011i | \(0.847845\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −5.64423 | + | 4.73607i | −0.301267 | + | 0.252793i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 11.8829 | − | 20.5818i | 0.632465 | − | 1.09546i | −0.354582 | − | 0.935025i | \(-0.615377\pi\) |
0.987046 | − | 0.160436i | \(-0.0512900\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 15.3643 | + | 5.59213i | 0.815450 | + | 0.296800i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 1.91056 | + | 10.8353i | 0.101118 | + | 0.573468i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −5.04166 | − | 4.23046i | −0.266089 | − | 0.223275i | 0.499975 | − | 0.866040i | \(-0.333343\pi\) |
−0.766063 | + | 0.642765i | \(0.777787\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −11.4244 | − | 15.1817i | −0.601283 | − | 0.799036i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −15.5708 | − | 13.0655i | −0.817256 | − | 0.685759i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 2.24307 | + | 12.7211i | 0.117408 | + | 0.665853i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 27.6541 | + | 10.0653i | 1.44353 | + | 0.525404i | 0.940778 | − | 0.339024i | \(-0.110097\pi\) |
0.502757 | + | 0.864428i | \(0.332319\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 2.26384 | − | 3.92109i | 0.117851 | − | 0.204124i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 25.7101 | − | 21.5733i | 1.33480 | − | 1.12003i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 13.0673 | + | 22.6332i | 0.676598 | + | 1.17190i | 0.975999 | + | 0.217775i | \(0.0698799\pi\) |
−0.299401 | + | 0.954127i | \(0.596787\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −0.189961 | + | 1.07732i | −0.00980953 | + | 0.0556326i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 7.39177 | − | 2.69039i | 0.380696 | − | 0.138562i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −16.3067 | −0.837620 | −0.418810 | − | 0.908074i | \(-0.637553\pi\) | ||||
−0.418810 | + | 0.908074i | \(0.637553\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −14.0679 | −0.720722 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −4.64354 | + | 1.69011i | −0.237274 | + | 0.0863606i | −0.457920 | − | 0.888993i | \(-0.651405\pi\) |
0.220647 | + | 0.975354i | \(0.429183\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −3.42660 | + | 19.4332i | −0.174636 | + | 0.990408i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 9.56975 | + | 16.5753i | 0.486458 | + | 0.842570i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −13.1979 | + | 11.0743i | −0.669159 | + | 0.561491i | −0.912816 | − | 0.408370i | \(-0.866097\pi\) |
0.243657 | + | 0.969861i | \(0.421653\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 9.19053 | − | 15.9185i | 0.464785 | − | 0.805031i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 8.96625 | + | 3.26345i | 0.452287 | + | 0.164619i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −1.97822 | − | 11.2190i | −0.0995348 | − | 0.564490i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 11.1837 | + | 9.38426i | 0.561295 | + | 0.470983i | 0.878744 | − | 0.477293i | \(-0.158382\pi\) |
−0.317449 | + | 0.948275i | \(0.602826\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −15.8679 | + | 6.89328i | −0.794389 | + | 0.345096i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −0.893471 | − | 0.749711i | −0.0446178 | − | 0.0374388i | 0.620206 | − | 0.784439i | \(-0.287049\pi\) |
−0.664824 | + | 0.747000i | \(0.731493\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 2.60514 | + | 14.7745i | 0.129771 | + | 0.735971i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 0.317850 | + | 0.115688i | 0.0157941 | + | 0.00574858i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −9.16613 | + | 15.8762i | −0.454348 | + | 0.786954i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −10.7111 | + | 8.98771i | −0.529631 | + | 0.444413i | −0.867974 | − | 0.496609i | \(-0.834578\pi\) |
0.338343 | + | 0.941023i | \(0.390134\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 4.93571 | + | 8.54891i | 0.243461 | + | 0.421686i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 1.47423 | − | 8.36078i | 0.0725422 | − | 0.411407i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 10.3636 | − | 3.77206i | 0.508731 | − | 0.185163i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −1.56031 | −0.0764085 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −8.57709 | −0.419018 | −0.209509 | − | 0.977807i | \(-0.567187\pi\) | ||||
−0.209509 | + | 0.977807i | \(0.567187\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −4.02175 | + | 1.46380i | −0.196008 | + | 0.0713411i | −0.438159 | − | 0.898898i | \(-0.644369\pi\) |
0.242151 | + | 0.970239i | \(0.422147\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −1.50276 | + | 8.52257i | −0.0730666 | + | 0.414381i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 1.38605 | + | 2.40071i | 0.0672334 | + | 0.116452i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −8.15487 | + | 6.84275i | −0.394642 | + | 0.331144i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 4.17144 | − | 7.22515i | 0.201399 | − | 0.348833i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 2.04618 | + | 0.744750i | 0.0985612 | + | 0.0358733i | 0.390830 | − | 0.920463i | \(-0.372188\pi\) |
−0.292269 | + | 0.956336i | \(0.594410\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 0.796344 | + | 4.51629i | 0.0382699 | + | 0.217039i | 0.997945 | − | 0.0640711i | \(-0.0204084\pi\) |
−0.959675 | + | 0.281110i | \(0.909297\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −4.70103 | − | 3.94463i | −0.225397 | − | 0.189131i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 27.7097 | + | 8.21804i | 1.32554 | + | 0.393122i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −25.3814 | − | 21.2975i | −1.21139 | − | 1.01648i | −0.999230 | − | 0.0392414i | \(-0.987506\pi\) |
−0.212160 | − | 0.977235i | \(-0.568050\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −1.93008 | − | 10.9460i | −0.0919087 | − | 0.521240i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −20.8133 | − | 7.57541i | −0.988868 | − | 0.359919i | −0.203586 | − | 0.979057i | \(-0.565260\pi\) |
−0.785282 | + | 0.619138i | \(0.787482\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 5.60437 | − | 9.70705i | 0.265673 | − | 0.460158i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 6.37739 | − | 5.35127i | 0.301640 | − | 0.253106i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 2.53652 | + | 4.39338i | 0.119706 | + | 0.207336i | 0.919651 | − | 0.392736i | \(-0.128472\pi\) |
−0.799945 | + | 0.600073i | \(0.795138\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −2.37129 | + | 13.4482i | −0.111660 | + | 0.633253i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −0.565158 | + | 0.205701i | −0.0265535 | + | 0.00966467i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −5.08752 | −0.238507 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −15.0185 | −0.702536 | −0.351268 | − | 0.936275i | \(-0.614249\pi\) | ||||
−0.351268 | + | 0.936275i | \(0.614249\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 13.6876 | − | 4.98189i | 0.638883 | − | 0.232535i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 1.02997 | − | 5.84127i | 0.0479707 | − | 0.272055i | −0.951383 | − | 0.308011i | \(-0.900337\pi\) |
0.999353 | + | 0.0359561i | \(0.0114476\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 0.383739 | + | 0.664655i | 0.0178339 | + | 0.0308891i | 0.874805 | − | 0.484476i | \(-0.160990\pi\) |
−0.856971 | + | 0.515365i | \(0.827656\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 8.96585 | − | 7.52325i | 0.415782 | − | 0.348882i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −7.70383 | + | 13.3434i | −0.356491 | + | 0.617460i | −0.987372 | − | 0.158419i | \(-0.949360\pi\) |
0.630881 | + | 0.775880i | \(0.282694\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 7.34041 | + | 2.67169i | 0.338949 | + | 0.123367i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 1.24982 | + | 7.08806i | 0.0575885 | + | 0.326600i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −44.2204 | − | 37.1053i | −2.03326 | − | 1.70611i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −3.16283 | + | 2.99941i | −0.145121 | + | 0.137623i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −12.7785 | − | 10.7225i | −0.585089 | − | 0.490948i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 2.05385 | + | 11.6479i | 0.0938427 | + | 0.532208i | 0.995096 | + | 0.0989155i | \(0.0315373\pi\) |
−0.901253 | + | 0.433293i | \(0.857352\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −4.44135 | − | 1.61652i | −0.202508 | − | 0.0737069i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 13.1587 | − | 22.7916i | 0.598742 | − | 1.03705i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −7.22724 | + | 6.06437i | −0.328172 | + | 0.275369i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 12.0770 | + | 20.9180i | 0.547262 | + | 0.947886i | 0.998461 | + | 0.0554623i | \(0.0176632\pi\) |
−0.451199 | + | 0.892424i | \(0.649003\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 2.91590 | − | 16.5369i | 0.131862 | − | 0.747824i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −31.1082 | + | 11.3225i | −1.40390 | + | 0.510976i | −0.929332 | − | 0.369245i | \(-0.879616\pi\) |
−0.474563 | + | 0.880221i | \(0.657394\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −15.5509 | −0.700376 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 9.80779 | 0.440828 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 55.7443 | − | 20.2892i | 2.50047 | − | 0.910097i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −0.397816 | + | 2.25613i | −0.0178087 | + | 0.100998i | −0.992416 | − | 0.122921i | \(-0.960774\pi\) |
0.974608 | + | 0.223919i | \(0.0718850\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −2.45232 | − | 4.24754i | −0.109561 | − | 0.189766i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 17.8176 | − | 14.9507i | 0.794448 | − | 0.666621i | −0.152394 | − | 0.988320i | \(-0.548698\pi\) |
0.946842 | + | 0.321699i | \(0.104254\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 3.94625 | − | 6.83510i | 0.175606 | − | 0.304158i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −11.3424 | − | 4.12828i | −0.503732 | − | 0.183343i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 1.69142 | + | 9.59254i | 0.0749710 | + | 0.425182i | 0.999073 | + | 0.0430371i | \(0.0137034\pi\) |
−0.924102 | + | 0.382145i | \(0.875186\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 35.9018 | + | 30.1252i | 1.58820 | + | 1.33266i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 12.6352 | + | 19.1035i | 0.557856 | + | 0.843438i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −7.38941 | − | 6.20045i | −0.325616 | − | 0.273224i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −4.53239 | − | 25.7045i | −0.199334 | − | 1.13048i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −15.3754 | − | 5.59619i | −0.674905 | − | 0.245645i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 13.1193 | − | 22.7232i | 0.574765 | − | 0.995523i | −0.421302 | − | 0.906920i | \(-0.638427\pi\) |
0.996067 | − | 0.0886021i | \(-0.0282399\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −8.90505 | + | 7.47222i | −0.389391 | + | 0.326737i | −0.816376 | − | 0.577521i | \(-0.804020\pi\) |
0.426985 | + | 0.904259i | \(0.359576\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 1.98451 | + | 3.43726i | 0.0866109 | + | 0.150014i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 5.15019 | − | 29.2082i | 0.224346 | − | 1.27233i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −19.7021 | + | 7.17099i | −0.856615 | + | 0.311782i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −4.21962 | −0.183116 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −3.52068 | −0.152498 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −0.715090 | + | 0.260272i | −0.0309161 | + | 0.0112525i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 4.93712 | − | 27.9998i | 0.213052 | − | 1.20828i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 16.7615 | + | 29.0318i | 0.721971 | + | 1.25049i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −22.8419 | + | 19.1666i | −0.982051 | + | 0.824039i | −0.984398 | − | 0.175959i | \(-0.943698\pi\) |
0.00234659 | + | 0.999997i | \(0.499253\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 5.23125 | − | 9.06079i | 0.224494 | − | 0.388836i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 14.8942 | + | 5.42106i | 0.637999 | + | 0.232213i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −2.79368 | − | 15.8437i | −0.119449 | − | 0.677429i | −0.984451 | − | 0.175660i | \(-0.943794\pi\) |
0.865002 | − | 0.501769i | \(-0.167317\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 4.05317 | + | 3.40101i | 0.172985 | + | 0.145152i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −5.70039 | − | 23.7787i | −0.242845 | − | 1.01301i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −31.6625 | − | 26.5680i | −1.34643 | − | 1.12979i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 0.640288 | + | 3.63125i | 0.0271787 | + | 0.154138i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −13.3701 | − | 4.86630i | −0.566508 | − | 0.206192i | 0.0428582 | − | 0.999081i | \(-0.486354\pi\) |
−0.609366 | + | 0.792889i | \(0.708576\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 7.44135 | − | 12.8888i | 0.314736 | − | 0.545138i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −12.6346 | + | 10.6017i | −0.533434 | + | 0.447604i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 2.10390 | + | 3.64407i | 0.0886690 | + | 0.153579i | 0.906949 | − | 0.421241i | \(-0.138405\pi\) |
−0.818280 | + | 0.574820i | \(0.805072\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −1.21957 | + | 6.91653i | −0.0513077 | + | 0.290981i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 1.15322 | − | 0.419736i | 0.0484305 | − | 0.0176273i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 0.192878 | 0.00808588 | 0.00404294 | − | 0.999992i | \(-0.498713\pi\) | ||||
0.00404294 | + | 0.999992i | \(0.498713\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −11.7824 | −0.493079 | −0.246540 | − | 0.969133i | \(-0.579294\pi\) | ||||
−0.246540 | + | 0.969133i | \(0.579294\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −10.8991 | + | 3.96693i | −0.455315 | + | 0.165721i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 1.15141 | − | 6.52999i | 0.0480173 | − | 0.272320i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 16.7487 | + | 29.0096i | 0.697258 | + | 1.20769i | 0.969414 | + | 0.245432i | \(0.0789299\pi\) |
−0.272156 | + | 0.962253i | \(0.587737\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 15.7864 | − | 13.2463i | 0.656059 | − | 0.550499i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 20.0071 | − | 34.6534i | 0.830036 | − | 1.43766i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 47.2772 | + | 17.2075i | 1.95802 | + | 0.712661i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 0.439091 | + | 2.49021i | 0.0181542 | + | 0.102957i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 10.1030 | + | 8.47746i | 0.416997 | + | 0.349902i | 0.827019 | − | 0.562173i | \(-0.190035\pi\) |
−0.410022 | + | 0.912076i | \(0.634479\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 46.5499 | − | 2.83155i | 1.91806 | − | 0.116672i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 5.12209 | + | 4.29794i | 0.210694 | + | 0.176794i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 6.73080 | + | 38.1723i | 0.276401 | + | 1.56755i | 0.734476 | + | 0.678634i | \(0.237428\pi\) |
−0.458075 | + | 0.888913i | \(0.651461\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 9.45113 | + | 3.43993i | 0.387458 | + | 0.141023i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 3.69821 | − | 6.40549i | 0.151358 | − | 0.262159i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 19.3433 | − | 16.2310i | 0.790347 | − | 0.663180i | −0.155484 | − | 0.987838i | \(-0.549694\pi\) |
0.945831 | + | 0.324658i | \(0.105249\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −13.1344 | − | 22.7495i | −0.535765 | − | 0.927972i | −0.999126 | − | 0.0418023i | \(-0.986690\pi\) |
0.463361 | − | 0.886170i | \(-0.346643\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0.674191 | − | 3.82353i | 0.0274552 | − | 0.155706i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −17.4602 | + | 6.35500i | −0.709859 | + | 0.258367i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 36.0403 | 1.46283 | 0.731415 | − | 0.681933i | \(-0.238860\pi\) | ||||
0.731415 | + | 0.681933i | \(0.238860\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −22.2652 | −0.902233 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 6.32348 | − | 2.30156i | 0.255820 | − | 0.0931110i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 1.14364 | − | 6.48591i | 0.0461912 | − | 0.261964i | −0.952963 | − | 0.303087i | \(-0.901983\pi\) |
0.999154 | + | 0.0411237i | \(0.0130938\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 1.37332 | + | 2.37867i | 0.0553777 | + | 0.0959171i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −3.23564 | + | 2.71502i | −0.130262 | + | 0.109303i | −0.705591 | − | 0.708619i | \(-0.749318\pi\) |
0.575329 | + | 0.817922i | \(0.304874\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 8.09543 | − | 14.0217i | 0.325383 | − | 0.563579i | −0.656207 | − | 0.754581i | \(-0.727840\pi\) |
0.981590 | + | 0.191001i | \(0.0611735\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −32.7401 | − | 11.9164i | −1.31382 | − | 0.478190i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −7.06180 | − | 40.0495i | −0.282925 | − | 1.60455i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 0.766044 | + | 0.642788i | 0.0306418 | + | 0.0257115i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −20.8424 | − | 15.4333i | −0.832364 | − | 0.616346i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 7.15772 | + | 6.00604i | 0.285397 | + | 0.239476i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −5.49646 | − | 31.1720i | −0.218811 | − | 1.24094i | −0.874170 | − | 0.485620i | \(-0.838594\pi\) |
0.655359 | − | 0.755317i | \(-0.272517\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −7.13090 | − | 2.59544i | −0.283428 | − | 0.103159i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −6.42993 | + | 11.1370i | −0.255164 | + | 0.441957i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −6.62081 | + | 5.55552i | −0.262326 | + | 0.220118i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −14.7422 | − | 25.5342i | −0.583192 | − | 1.01012i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −7.47565 | + | 42.3965i | −0.295270 | + | 1.67456i | 0.370832 | + | 0.928700i | \(0.379073\pi\) |
−0.666102 | + | 0.745861i | \(0.732038\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 22.8293 | − | 8.30920i | 0.900301 | − | 0.327683i | 0.149928 | − | 0.988697i | \(-0.452096\pi\) |
0.750373 | + | 0.661014i | \(0.229874\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −11.6107 | −0.457170 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −28.7229 | −1.12921 | −0.564606 | − | 0.825360i | \(-0.690972\pi\) | ||||
−0.564606 | + | 0.825360i | \(0.690972\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 11.9591 | − | 4.35275i | 0.469435 | − | 0.170860i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 7.37389 | − | 41.8194i | 0.289005 | − | 1.63903i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −19.1944 | − | 33.2458i | −0.751137 | − | 1.30101i | −0.947272 | − | 0.320430i | \(-0.896173\pi\) |
0.196135 | − | 0.980577i | \(-0.437161\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 6.68167 | − | 5.60659i | 0.261074 | − | 0.219067i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 11.6469 | − | 20.1730i | 0.454388 | − | 0.787024i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −30.2296 | − | 11.0027i | −1.17758 | − | 0.428603i | −0.322232 | − | 0.946661i | \(-0.604433\pi\) |
−0.855346 | + | 0.518058i | \(0.826655\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 3.47112 | + | 19.6857i | 0.135011 | + | 0.765685i | 0.974852 | + | 0.222853i | \(0.0715369\pi\) |
−0.839841 | + | 0.542832i | \(0.817352\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −3.25743 | − | 2.73331i | −0.126508 | − | 0.106153i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −1.79553 | + | 15.7126i | −0.0696276 | + | 0.609308i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 28.4945 | + | 23.9097i | 1.10331 | + | 0.925787i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −4.11866 | − | 23.3581i | −0.159237 | − | 0.903076i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −14.9956 | − | 5.45797i | −0.578900 | − | 0.210702i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 2.59611 | − | 4.49660i | 0.100073 | − | 0.173331i | −0.811642 | − | 0.584156i | \(-0.801426\pi\) |
0.911714 | + | 0.410824i | \(0.134759\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 4.02519 | − | 3.37754i | 0.154930 | − | 0.130002i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −2.39094 | − | 4.14124i | −0.0918915 | − | 0.159161i | 0.816416 | − | 0.577465i | \(-0.195958\pi\) |
−0.908307 | + | 0.418304i | \(0.862625\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −5.94398 | + | 33.7100i | −0.228109 | + | 1.29367i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 24.4098 | − | 8.88443i | 0.935384 | − | 0.340452i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −2.33827 | −0.0894714 | −0.0447357 | − | 0.998999i | \(-0.514245\pi\) | ||||
−0.0447357 | + | 0.998999i | \(0.514245\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 9.02373 | 0.344779 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −14.8082 | + | 5.38974i | −0.564967 | + | 0.205631i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −2.25242 | + | 12.7741i | −0.0858102 | + | 0.486654i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 17.5669 | + | 30.4267i | 0.668275 | + | 1.15749i | 0.978386 | + | 0.206786i | \(0.0663003\pi\) |
−0.310111 | + | 0.950700i | \(0.600366\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 27.2592 | − | 22.8732i | 1.03549 | − | 0.868882i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −0.713158 | + | 1.23523i | −0.0270516 | + | 0.0468548i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 6.54040 | + | 2.38051i | 0.247735 | + | 0.0901683i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 4.06418 | + | 23.0491i | 0.153722 | + | 0.871798i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 3.92698 | + | 3.29513i | 0.148320 | + | 0.124455i | 0.713928 | − | 0.700219i | \(-0.246914\pi\) |
−0.565608 | + | 0.824674i | \(0.691359\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −6.56002 | + | 13.1464i | −0.247416 | + | 0.495826i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −4.02161 | − | 3.37453i | −0.151463 | − | 0.127092i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −4.97248 | − | 28.2003i | −0.187009 | − | 1.06058i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 14.4095 | + | 5.24461i | 0.541158 | + | 0.196966i | 0.598114 | − | 0.801411i | \(-0.295917\pi\) |
−0.0569555 | + | 0.998377i | \(0.518139\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −10.2716 | + | 17.7910i | −0.385217 | + | 0.667215i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −54.3450 | + | 45.6008i | −2.03523 | + | 1.70776i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −3.81322 | − | 6.60470i | −0.142607 | − | 0.247002i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −3.09352 | + | 17.5442i | −0.115530 | + | 0.655202i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −1.47862 | + | 0.538174i | −0.0551432 | + | 0.0200705i | −0.369445 | − | 0.929253i | \(-0.620452\pi\) |
0.314301 | + | 0.949323i | \(0.398230\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −34.9981 | −1.30340 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 16.6027 | 0.617461 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −5.27146 | + | 1.91866i | −0.195777 | + | 0.0712571i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −7.85960 | + | 44.5740i | −0.291496 | + | 1.65316i | 0.389615 | + | 0.920978i | \(0.372608\pi\) |
−0.681111 | + | 0.732180i | \(0.738503\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −8.92718 | − | 15.4623i | −0.330636 | − | 0.572679i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −22.5386 | + | 18.9122i | −0.833621 | + | 0.699491i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −18.5796 | + | 32.1808i | −0.686253 | + | 1.18863i | 0.286788 | + | 0.957994i | \(0.407412\pi\) |
−0.973041 | + | 0.230631i | \(0.925921\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 6.33605 | + | 2.30614i | 0.233709 | + | 0.0850631i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 2.03339 | + | 11.5319i | 0.0749009 | + | 0.424784i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 20.3874 | + | 17.1071i | 0.749964 | + | 0.629295i | 0.935493 | − | 0.353344i | \(-0.114956\pi\) |
−0.185529 | + | 0.982639i | \(0.559400\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 2.98542 | − | 5.98284i | 0.109672 | − | 0.219785i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −24.0072 | − | 20.1445i | −0.880740 | − | 0.739028i | 0.0855914 | − | 0.996330i | \(-0.472722\pi\) |
−0.966331 | + | 0.257302i | \(0.917166\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −1.32150 | − | 7.49457i | −0.0484158 | − | 0.274580i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −18.6887 | − | 6.80212i | −0.683783 | − | 0.248877i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −1.38049 | + | 2.39108i | −0.0504420 | + | 0.0873682i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 15.2232 | − | 12.7737i | 0.555501 | − | 0.466121i | −0.321298 | − | 0.946978i | \(-0.604119\pi\) |
0.876799 | + | 0.480858i | \(0.159675\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 2.22587 | + | 3.85531i | 0.0811150 | + | 0.140495i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −0.0954687 | + | 0.541430i | −0.00347446 | + | 0.0197046i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −43.5045 | + | 15.8344i | −1.58120 | + | 0.575509i | −0.975464 | − | 0.220157i | \(-0.929343\pi\) |
−0.605735 | + | 0.795667i | \(0.707121\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 39.4512 | 1.43199 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 38.1331 | 1.38232 | 0.691161 | − | 0.722701i | \(-0.257099\pi\) | ||||
0.691161 | + | 0.722701i | \(0.257099\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 54.0390 | − | 19.6686i | 1.95634 | − | 0.712050i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 0.868053 | − | 4.92297i | 0.0313845 | − | 0.177990i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 1.64057 | + | 2.84155i | 0.0592375 | + | 0.102602i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −14.2867 | + | 11.9880i | −0.515193 | + | 0.432298i | −0.862952 | − | 0.505286i | \(-0.831387\pi\) |
0.347759 | + | 0.937584i | \(0.386943\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 1.15701 | − | 2.00399i | 0.0416686 | − | 0.0721721i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 36.8574 | + | 13.4150i | 1.32567 | + | 0.482504i | 0.905270 | − | 0.424836i | \(-0.139668\pi\) |
0.420398 | + | 0.907340i | \(0.361891\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −1.85787 | − | 10.5365i | −0.0667365 | − | 0.378481i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 10.2482 | + | 8.59926i | 0.367652 | + | 0.308497i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −1.24255 | + | 10.8735i | −0.0445188 | + | 0.389583i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 68.1216 | + | 57.1608i | 2.43758 | + | 2.04537i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 5.11857 | + | 29.0288i | 0.182923 | + | 1.03741i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 6.18255 | + | 2.25027i | 0.220665 | + | 0.0803154i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 12.0053 | − | 20.7938i | 0.427942 | − | 0.741218i | −0.568748 | − | 0.822512i | \(-0.692572\pi\) |
0.996690 | + | 0.0812940i | \(0.0259053\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −12.1699 | + | 10.2118i | −0.433260 | + | 0.363548i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 12.7408 | + | 22.0676i | 0.453009 | + | 0.784635i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 0.714434 | − | 4.05176i | 0.0253703 | − | 0.143882i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 9.50912 | − | 3.46104i | 0.337254 | − | 0.122750i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −40.9652 | −1.45106 | −0.725531 | − | 0.688189i | \(-0.758406\pi\) | ||||
−0.725531 | + | 0.688189i | \(0.758406\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −13.3034 | −0.470639 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −18.9937 | + | 6.91313i | −0.671108 | + | 0.244264i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −12.1997 | + | 69.1878i | −0.430517 | + | 2.44158i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −12.0287 | − | 20.8344i | −0.423957 | − | 0.734315i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −4.49612 | + | 3.77270i | −0.158271 | + | 0.132805i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 4.09979 | − | 7.10104i | 0.144141 | − | 0.249659i | −0.784911 | − | 0.619608i | \(-0.787291\pi\) |
0.929052 | + | 0.369949i | \(0.120625\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −2.52242 | − | 0.918087i | −0.0885743 | − | 0.0322384i | 0.297353 | − | 0.954768i | \(-0.403896\pi\) |
−0.385927 | + | 0.922529i | \(0.626118\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −1.23793 | − | 7.02062i | −0.0434159 | − | 0.246224i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −11.7588 | − | 9.86680i | −0.411892 | − | 0.345619i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −37.1803 | − | 27.5311i | −1.30077 | − | 0.963192i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 7.02792 | + | 5.89712i | 0.245575 | + | 0.206062i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −6.56808 | − | 37.2495i | −0.229228 | − | 1.30001i | −0.854436 | − | 0.519557i | \(-0.826097\pi\) |
0.625208 | − | 0.780458i | \(-0.285014\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −20.1960 | − | 7.35073i | −0.703987 | − | 0.256230i | −0.0348749 | − | 0.999392i | \(-0.511103\pi\) |
−0.669112 | + | 0.743161i | \(0.733326\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −2.97487 | + | 5.15263i | −0.103572 | + | 0.179392i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 22.0020 | − | 18.4619i | 0.765085 | − | 0.641983i | −0.174360 | − | 0.984682i | \(-0.555786\pi\) |
0.939445 | + | 0.342699i | \(0.111341\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 27.6642 | + | 47.9158i | 0.960818 | + | 1.66419i | 0.720453 | + | 0.693504i | \(0.243934\pi\) |
0.240365 | + | 0.970683i | \(0.422733\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 0.553734 | − | 3.14038i | 0.0192088 | − | 0.108939i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 16.0559 | − | 5.84387i | 0.556304 | − | 0.202478i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −4.48346 | −0.155156 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −56.2182 | −1.94319 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −34.9725 | + | 12.7289i | −1.20738 | + | 0.439452i | −0.865796 | − | 0.500398i | \(-0.833187\pi\) |
−0.341588 | + | 0.939850i | \(0.610965\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 0.428834 | − | 2.43204i | 0.0147874 | − | 0.0838634i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −1.31658 | − | 2.28039i | −0.0453455 | − | 0.0785407i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −8.45236 | + | 7.09237i | −0.290770 | + | 0.243985i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −33.7072 | + | 58.3825i | −1.15819 | + | 2.00605i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 1.10295 | + | 0.401443i | 0.0378533 | + | 0.0137775i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −3.88099 | − | 22.0102i | −0.133039 | − | 0.754500i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −4.42194 | − | 3.71045i | −0.151404 | − | 0.127043i | 0.563939 | − | 0.825816i | \(-0.309285\pi\) |
−0.715343 | + | 0.698773i | \(0.753730\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 7.84587 | − | 0.477251i | 0.268323 | − | 0.0163216i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −1.64015 | − | 1.37625i | −0.0560263 | − | 0.0470116i | 0.614345 | − | 0.789038i | \(-0.289421\pi\) |
−0.670371 | + | 0.742026i | \(0.733865\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 5.87056 | + | 33.2936i | 0.200301 | + | 1.13596i | 0.904665 | + | 0.426123i | \(0.140121\pi\) |
−0.704364 | + | 0.709839i | \(0.748768\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 9.36434 | + | 3.40834i | 0.319136 | + | 0.116156i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −9.75915 | + | 16.9033i | −0.332205 | + | 0.575396i | −0.982944 | − | 0.183905i | \(-0.941126\pi\) |
0.650739 | + | 0.759302i | \(0.274459\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −11.4578 | + | 9.61423i | −0.389577 | + | 0.326894i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −5.09527 | − | 8.82527i | −0.173045 | − | 0.299722i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 10.7592 | − | 61.0182i | 0.364980 | − | 2.06990i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −2.83694 | + | 1.03256i | −0.0961259 | + | 0.0349870i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 17.0132 | 0.575808 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 3.62818 | 0.122655 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −22.8968 | + | 8.33374i | −0.773169 | + | 0.281410i | −0.698321 | − | 0.715785i | \(-0.746069\pi\) |
−0.0748475 | + | 0.997195i | \(0.523847\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −4.41798 | + | 25.0556i | −0.149015 | + | 0.845105i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −13.1878 | − | 22.8419i | −0.444308 | − | 0.769563i | 0.553696 | − | 0.832719i | \(-0.313217\pi\) |
−0.998004 | + | 0.0631555i | \(0.979884\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 12.8920 | − | 10.8176i | 0.433849 | − | 0.364042i | −0.399553 | − | 0.916710i | \(-0.630835\pi\) |
0.833402 | + | 0.552668i | \(0.186390\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 1.27988 | − | 2.21682i | 0.0430228 | − | 0.0745177i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −21.7494 | − | 7.91613i | −0.730273 | − | 0.265798i | −0.0499928 | − | 0.998750i | \(-0.515920\pi\) |
−0.680281 | + | 0.732952i | \(0.738142\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 8.10205 | + | 45.9490i | 0.271734 | + | 1.54108i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 1.40927 | + | 1.18252i | 0.0472124 | + | 0.0396159i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −4.87654 | − | 20.3421i | −0.163187 | − | 0.680722i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −19.9097 | − | 16.7062i | −0.665506 | − | 0.558426i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 1.76621 | + | 10.0167i | 0.0589721 | + | 0.334447i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 56.3995 | + | 20.5277i | 1.88103 | + | 0.684638i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 12.8215 | − | 22.2076i | 0.427147 | − | 0.739841i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −32.2701 | + | 27.0778i | −1.07388 | + | 0.901094i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −4.78202 | − | 8.28271i | −0.158960 | − | 0.275326i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 9.99460 | − | 56.6822i | 0.331865 | − | 1.88210i | −0.124359 | − | 0.992237i | \(-0.539687\pi\) |
0.456224 | − | 0.889865i | \(-0.349201\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −13.3742 | + | 4.86780i | −0.443593 | + | 0.161455i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 49.4081 | 1.63696 | 0.818482 | − | 0.574533i | \(-0.194816\pi\) | ||||
0.818482 | + | 0.574533i | \(0.194816\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 59.9834 | 1.98516 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −3.01616 | + | 1.09779i | −0.0997111 | + | 0.0362919i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 5.49528 | − | 31.1653i | 0.181470 | − | 1.02917i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −7.31500 | − | 12.6700i | −0.241300 | − | 0.417943i | 0.719785 | − | 0.694197i | \(-0.244240\pi\) |
−0.961085 | + | 0.276254i | \(0.910907\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −22.8324 | + | 19.1587i | −0.752353 | + | 0.631299i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −11.4634 | + | 19.8552i | −0.377322 | + | 0.653542i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 3.16736 | + | 1.15282i | 0.104142 | + | 0.0379046i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 3.02059 | + | 17.1306i | 0.0992093 | + | 0.562644i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −32.5929 | − | 27.3487i | −1.06934 | − | 0.897281i | −0.0743454 | − | 0.997233i | \(-0.523687\pi\) |
−0.994992 | + | 0.0999517i | \(0.968131\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 14.8213 | + | 22.4088i | 0.485749 | + | 0.734418i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 11.3216 | + | 9.49991i | 0.370651 | + | 0.311013i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 2.61809 | + | 14.8479i | 0.0856206 | + | 0.485579i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 27.8225 | + | 10.1266i | 0.908921 | + | 0.330820i | 0.753822 | − | 0.657079i | \(-0.228208\pi\) |
0.155099 | + | 0.987899i | \(0.450430\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −12.7014 | + | 21.9995i | −0.414495 | + | 0.717927i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 0.307053 | − | 0.257648i | 0.0100096 | − | 0.00839908i | −0.637769 | − | 0.770228i | \(-0.720143\pi\) |
0.647779 | + | 0.761829i | \(0.275698\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −8.32416 | − | 14.4179i | −0.271072 | − | 0.469510i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 3.31048 | − | 18.7747i | 0.107690 | − | 0.610741i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 47.1594 | − | 17.1646i | 1.53247 | − | 0.557775i | 0.568248 | − | 0.822858i | \(-0.307622\pi\) |
0.964226 | + | 0.265083i | \(0.0853994\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −18.1130 | −0.587974 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −5.77579 | −0.187293 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 11.2443 | − | 4.09260i | 0.364239 | − | 0.132572i | −0.153416 | − | 0.988162i | \(-0.549027\pi\) |
0.517655 | + | 0.855590i | \(0.326805\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −1.84111 | + | 10.4415i | −0.0595769 | + | 0.337877i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −16.6884 | − | 28.9051i | −0.539458 | − | 0.934369i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 25.0801 | − | 21.0447i | 0.809878 | − | 0.679568i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −41.7345 | + | 72.2863i | −1.34627 | + | 2.33182i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 1.28952 | + | 0.469346i | 0.0415541 | + | 0.0151245i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −3.27118 | − | 18.5518i | −0.105303 | − | 0.597203i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −30.4106 | − | 25.5176i | −0.977940 | − | 0.820589i | 0.00583706 | − | 0.999983i | \(-0.498142\pi\) |
−0.983777 | + | 0.179394i | \(0.942586\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −9.59134 | + | 9.09577i | −0.308118 | + | 0.292198i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 35.7267 | + | 29.9783i | 1.14652 | + | 0.962048i | 0.999633 | − | 0.0271043i | \(-0.00862861\pi\) |
0.146892 | + | 0.989153i | \(0.453073\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 0.898617 | + | 5.09631i | 0.0288083 | + | 0.163380i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −1.44144 | − | 0.524642i | −0.0461631 | − | 0.0168020i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 5.52776 | − | 9.57437i | 0.176849 | − | 0.306311i | −0.763951 | − | 0.645275i | \(-0.776743\pi\) |
0.940800 | + | 0.338963i | \(0.110076\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 46.6998 | − | 39.1858i | 1.49253 | − | 1.25238i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −14.2912 | − | 24.7531i | −0.456284 | − | 0.790306i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −3.88991 | + | 22.0608i | −0.124069 | + | 0.703630i | 0.857788 | + | 0.514004i | \(0.171839\pi\) |
−0.981856 | + | 0.189626i | \(0.939273\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 5.74361 | − | 2.09050i | 0.183007 | − | 0.0666090i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −19.0474 | −0.606284 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 70.3762 | 2.23783 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −18.7269 | + | 6.81605i | −0.594881 | + | 0.216519i | −0.621875 | − | 0.783117i | \(-0.713629\pi\) |
0.0269940 | + | 0.999636i | \(0.491406\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −3.69926 | + | 20.9795i | −0.117392 | + | 0.665765i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −3.38063 | − | 5.85542i | −0.107173 | − | 0.185629i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −14.7562 | + | 12.3819i | −0.467334 | + | 0.392140i | −0.845821 | − | 0.533467i | \(-0.820889\pi\) |
0.378487 | + | 0.925607i | \(0.376445\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 8.85552 | − | 15.3382i | 0.280176 | − | 0.485280i |
(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 | 380.2.u.b.301.2 | yes | 18 | |
19.5 | even | 9 | 7220.2.a.w.1.4 | 9 | |||
19.6 | even | 9 | inner | 380.2.u.b.101.2 | ✓ | 18 | |
19.14 | odd | 18 | 7220.2.a.y.1.6 | 9 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
380.2.u.b.101.2 | ✓ | 18 | 19.6 | even | 9 | inner | |
380.2.u.b.301.2 | yes | 18 | 1.1 | even | 1 | trivial | |
7220.2.a.w.1.4 | 9 | 19.5 | even | 9 | |||
7220.2.a.y.1.6 | 9 | 19.14 | odd | 18 |