Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [756,2,Mod(173,756)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(756, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 13, 15]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("756.173");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 756 = 2^{2} \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 756.ca (of order \(18\), 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: | \(6.03669039281\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 173.16 | ||
Character | \(\chi\) | \(=\) | 756.173 |
Dual form | 756.2.ca.a.437.16 |
$q$-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 \(\left(\mathbb{Z}/756\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{13}{18}\right)\) | \(e\left(\frac{5}{6}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 0.785443 | − | 1.54372i | 0.453476 | − | 0.891269i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 1.98604 | − | 1.66648i | 0.888183 | − | 0.745274i | −0.0796617 | − | 0.996822i | \(-0.525384\pi\) |
0.967845 | + | 0.251548i | \(0.0809396\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.56407 | − | 0.652322i | 0.969129 | − | 0.246555i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −1.76616 | − | 2.42501i | −0.588720 | − | 0.808337i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 1.39489 | − | 1.66236i | 0.420574 | − | 0.501220i | −0.513604 | − | 0.858027i | \(-0.671690\pi\) |
0.934178 | + | 0.356807i | \(0.116135\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 3.09514 | + | 3.68865i | 0.858438 | + | 1.02305i | 0.999454 | + | 0.0330397i | \(0.0105188\pi\) |
−0.141016 | + | 0.990007i | \(0.545037\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −1.01267 | − | 4.37482i | −0.261470 | − | 1.12957i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 0.112229 | − | 0.194386i | 0.0272195 | − | 0.0471455i | −0.852095 | − | 0.523387i | \(-0.824668\pi\) |
0.879314 | + | 0.476242i | \(0.158001\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −3.55570 | + | 2.05288i | −0.815733 | + | 0.470964i | −0.848943 | − | 0.528485i | \(-0.822760\pi\) |
0.0332096 | + | 0.999448i | \(0.489427\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 1.00693 | − | 4.47058i | 0.219730 | − | 0.975561i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −1.54617 | + | 4.24806i | −0.322398 | + | 0.885781i | 0.667577 | + | 0.744541i | \(0.267331\pi\) |
−0.989975 | + | 0.141241i | \(0.954891\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.298938 | − | 1.69536i | 0.0597876 | − | 0.339072i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −5.13076 | + | 0.821750i | −0.987416 | + | 0.158146i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 2.32377 | − | 2.76937i | 0.431514 | − | 0.514258i | −0.505844 | − | 0.862625i | \(-0.668819\pi\) |
0.937358 | + | 0.348366i | \(0.113263\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.136553 | + | 0.162737i | 0.0245256 | + | 0.0292285i | 0.778168 | − | 0.628056i | \(-0.216149\pi\) |
−0.753642 | + | 0.657285i | \(0.771705\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −1.47062 | − | 3.45901i | −0.256002 | − | 0.602136i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 4.00526 | − | 5.56852i | 0.677013 | − | 0.941252i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −0.566309 | −0.0931007 | −0.0465503 | − | 0.998916i | \(-0.514823\pi\) | ||||
−0.0465503 | + | 0.998916i | \(0.514823\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 8.12531 | − | 1.88082i | 1.30109 | − | 0.301172i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −5.59066 | + | 4.69112i | −0.873114 | + | 0.732630i | −0.964752 | − | 0.263163i | \(-0.915234\pi\) |
0.0916371 | + | 0.995792i | \(0.470790\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −8.59473 | + | 3.12823i | −1.31068 | + | 0.477050i | −0.900462 | − | 0.434936i | \(-0.856771\pi\) |
−0.410222 | + | 0.911986i | \(0.634549\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −7.54890 | − | 1.87289i | −1.12532 | − | 0.279194i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 3.19402 | + | 2.68010i | 0.465896 | + | 0.390933i | 0.845295 | − | 0.534300i | \(-0.179425\pi\) |
−0.379399 | + | 0.925233i | \(0.623869\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 6.14895 | − | 3.34520i | 0.878422 | − | 0.477886i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −0.211929 | − | 0.325929i | −0.0296759 | − | 0.0456392i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −1.97080 | + | 1.13784i | −0.270711 | + | 0.156295i | −0.629211 | − | 0.777235i | \(-0.716622\pi\) |
0.358500 | + | 0.933530i | \(0.383288\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | − | 5.62606i | − | 0.758618i | ||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0.376284 | + | 7.10144i | 0.0498401 | + | 0.940608i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −2.17119 | − | 12.3135i | −0.282665 | − | 1.60308i | −0.713507 | − | 0.700648i | \(-0.752894\pi\) |
0.430842 | − | 0.902428i | \(-0.358217\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −4.30785 | + | 5.13389i | −0.551563 | + | 0.657327i | −0.967738 | − | 0.251957i | \(-0.918926\pi\) |
0.416175 | + | 0.909284i | \(0.363370\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −6.11045 | − | 5.06581i | −0.769844 | − | 0.638232i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 12.2941 | + | 2.16779i | 1.52490 | + | 0.268881i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −0.302537 | − | 0.110114i | −0.0369607 | − | 0.0134526i | 0.323474 | − | 0.946237i | \(-0.395149\pi\) |
−0.360434 | + | 0.932785i | \(0.617372\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 5.34340 | + | 5.72346i | 0.643269 | + | 0.689023i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 9.64073 | − | 5.56608i | 1.14414 | − | 0.660572i | 0.196691 | − | 0.980466i | \(-0.436980\pi\) |
0.947453 | + | 0.319894i | \(0.103647\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | − | 5.54969i | − | 0.649542i | −0.945793 | − | 0.324771i | \(-0.894713\pi\) | ||
0.945793 | − | 0.324771i | \(-0.105287\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −2.38237 | − | 1.79309i | −0.275092 | − | 0.207048i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 2.49220 | − | 5.17233i | 0.284012 | − | 0.589442i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −6.43798 | + | 2.34323i | −0.724330 | + | 0.263634i | −0.677763 | − | 0.735281i | \(-0.737050\pi\) |
−0.0465669 | + | 0.998915i | \(0.514828\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −2.76137 | + | 8.56591i | −0.306819 | + | 0.951768i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −12.5514 | − | 10.5319i | −1.37770 | − | 1.15602i | −0.970056 | − | 0.242882i | \(-0.921907\pi\) |
−0.407641 | − | 0.913142i | \(-0.633648\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.101050 | − | 0.573085i | −0.0109604 | − | 0.0621598i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −2.44994 | − | 5.76244i | −0.262661 | − | 0.617799i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −1.19114 | − | 2.06312i | −0.126261 | − | 0.218690i | 0.795964 | − | 0.605344i | \(-0.206964\pi\) |
−0.922225 | + | 0.386653i | \(0.873631\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 10.3424 | + | 7.43894i | 1.08417 | + | 0.779813i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 0.358476 | − | 0.0829788i | 0.0371722 | − | 0.00860450i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −3.64066 | + | 10.0026i | −0.373523 | + | 1.02625i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 5.73931 | + | 15.7686i | 0.582738 | + | 1.60106i | 0.783481 | + | 0.621416i | \(0.213442\pi\) |
−0.200742 | + | 0.979644i | \(0.564335\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −6.49483 | − | 0.446623i | −0.652755 | − | 0.0448873i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 13.9107 | − | 5.06308i | 1.38417 | − | 0.503795i | 0.460727 | − | 0.887542i | \(-0.347589\pi\) |
0.923438 | + | 0.383747i | \(0.125366\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −10.3220 | − | 12.3012i | −1.01705 | − | 1.21208i | −0.977079 | − | 0.212877i | \(-0.931717\pi\) |
−0.0399744 | − | 0.999201i | \(-0.512728\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −5.45035 | − | 10.5568i | −0.531900 | − | 1.03024i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 10.3758 | + | 5.99046i | 1.00307 | + | 0.579120i | 0.909154 | − | 0.416461i | \(-0.136730\pi\) |
0.0939113 | + | 0.995581i | \(0.470063\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 5.70820 | + | 9.88689i | 0.546746 | + | 0.946992i | 0.998495 | + | 0.0548467i | \(0.0174670\pi\) |
−0.451749 | + | 0.892145i | \(0.649200\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −0.444804 | + | 0.874224i | −0.0422189 | + | 0.0829777i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −0.0403812 | + | 0.110946i | −0.00379874 | + | 0.0104370i | −0.941578 | − | 0.336796i | \(-0.890657\pi\) |
0.937779 | + | 0.347233i | \(0.112879\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 4.00857 | + | 11.0135i | 0.373801 | + | 1.02701i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 3.47850 | − | 14.0205i | 0.321588 | − | 1.29620i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 0.160961 | − | 0.571629i | 0.0147552 | − | 0.0524011i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 1.09240 | + | 6.19528i | 0.0993087 | + | 0.563207i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 2.85064 | + | 12.3150i | 0.257034 | + | 1.11041i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 4.24988 | + | 7.36101i | 0.380121 | + | 0.658389i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −9.92811 | + | 17.1960i | −0.880978 | + | 1.52590i | −0.0307219 | + | 0.999528i | \(0.509781\pi\) |
−0.850256 | + | 0.526370i | \(0.823553\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −1.92156 | + | 15.7249i | −0.169184 | + | 1.38450i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 2.54115 | + | 0.924904i | 0.222021 | + | 0.0808092i | 0.450636 | − | 0.892708i | \(-0.351197\pi\) |
−0.228614 | + | 0.973517i | \(0.573420\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −7.77793 | + | 7.58321i | −0.674432 | + | 0.657548i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −8.82046 | + | 10.1824i | −0.759144 | + | 0.876358i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 14.0805 | + | 2.48277i | 1.20298 | + | 0.212118i | 0.738985 | − | 0.673721i | \(-0.235305\pi\) |
0.463993 | + | 0.885839i | \(0.346416\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −12.3851 | + | 2.18382i | −1.05049 | + | 0.185230i | −0.672133 | − | 0.740430i | \(-0.734622\pi\) |
−0.378356 | + | 0.925660i | \(0.623511\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 6.64605 | − | 2.82561i | 0.559699 | − | 0.237960i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 10.4492 | 0.873809 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | − | 9.37260i | − | 0.778352i | ||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −0.334416 | − | 12.1197i | −0.0275822 | − | 0.999620i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 0.127833 | − | 0.0225403i | 0.0104724 | − | 0.00184658i | −0.168409 | − | 0.985717i | \(-0.553863\pi\) |
0.178882 | + | 0.983871i | \(0.442752\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −6.80289 | − | 5.70830i | −0.553611 | − | 0.464535i | 0.322550 | − | 0.946552i | \(-0.395460\pi\) |
−0.876162 | + | 0.482017i | \(0.839904\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −0.669602 | + | 0.0711602i | −0.0541341 | + | 0.00575296i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 0.542398 | + | 0.0956394i | 0.0435665 | + | 0.00768194i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 6.61613 | − | 1.16660i | 0.528025 | − | 0.0931050i | 0.0967204 | − | 0.995312i | \(-0.469165\pi\) |
0.431304 | + | 0.902207i | \(0.358054\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 0.208562 | + | 3.93609i | 0.0165400 | + | 0.312152i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −1.19338 | + | 11.9009i | −0.0940518 | + | 0.937925i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 7.06404 | − | 12.2353i | 0.553298 | − | 0.958341i | −0.444735 | − | 0.895662i | \(-0.646702\pi\) |
0.998034 | − | 0.0626788i | \(-0.0199644\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −8.68508 | − | 4.41895i | −0.676133 | − | 0.344015i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −6.43143 | − | 2.34085i | −0.497679 | − | 0.181140i | 0.0809706 | − | 0.996716i | \(-0.474198\pi\) |
−0.578650 | + | 0.815576i | \(0.696420\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −1.76879 | + | 10.0313i | −0.136061 | + | 0.771638i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 11.2582 | + | 4.99690i | 0.860936 | + | 0.382122i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −1.19428 | + | 6.77307i | −0.0907991 | + | 0.514947i | 0.905155 | + | 0.425082i | \(0.139755\pi\) |
−0.995954 | + | 0.0898652i | \(0.971356\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −0.339422 | − | 4.54203i | −0.0256579 | − | 0.343345i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −20.7139 | − | 6.31980i | −1.55695 | − | 0.475025i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −1.23847 | − | 0.715030i | −0.0925675 | − | 0.0534439i | 0.453002 | − | 0.891510i | \(-0.350353\pi\) |
−0.545569 | + | 0.838066i | \(0.683686\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −1.39468 | − | 0.805221i | −0.103666 | − | 0.0598516i | 0.447271 | − | 0.894399i | \(-0.352396\pi\) |
−0.550937 | + | 0.834547i | \(0.685729\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 4.54173 | + | 10.6825i | 0.335735 | + | 0.789673i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −1.12471 | + | 0.943745i | −0.0826904 | + | 0.0693855i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −0.166593 | − | 0.457711i | −0.0121825 | − | 0.0334711i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −12.6196 | + | 5.45394i | −0.917942 | + | 0.396716i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −6.06721 | − | 16.6695i | −0.439008 | − | 1.20616i | −0.940139 | − | 0.340792i | \(-0.889305\pi\) |
0.501131 | − | 0.865372i | \(-0.332918\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −16.6268 | + | 13.9515i | −1.19682 | + | 1.00425i | −0.197105 | + | 0.980382i | \(0.563154\pi\) |
−0.999715 | + | 0.0238686i | \(0.992402\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 13.0028 | − | 17.2761i | 0.931151 | − | 1.23717i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −10.7354 | − | 6.19810i | −0.764867 | − | 0.441596i | 0.0661732 | − | 0.997808i | \(-0.478921\pi\) |
−0.831041 | + | 0.556212i | \(0.812254\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 20.2325 | + | 11.6812i | 1.43424 | + | 0.828059i | 0.997441 | − | 0.0714995i | \(-0.0227784\pi\) |
0.436800 | + | 0.899559i | \(0.356112\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −0.407611 | + | 0.380544i | −0.0287507 | + | 0.0268415i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 4.15181 | − | 8.61671i | 0.291400 | − | 0.604775i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −3.28559 | + | 18.6335i | −0.229475 | + | 1.30142i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 13.0324 | − | 3.75327i | 0.905812 | − | 0.260870i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −1.54716 | + | 8.77439i | −0.107019 | + | 0.606937i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −6.53452 | − | 2.37837i | −0.449855 | − | 0.163734i | 0.107150 | − | 0.994243i | \(-0.465827\pi\) |
−0.557005 | + | 0.830509i | \(0.688050\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −1.02024 | − | 19.2545i | −0.0699055 | − | 1.31929i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −11.8563 | + | 20.5357i | −0.808594 | + | 1.40053i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0.456289 | + | 0.328194i | 0.0309749 | + | 0.0222793i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −8.56718 | − | 4.35896i | −0.578916 | − | 0.294551i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 1.06439 | − | 0.187680i | 0.0715983 | − | 0.0126247i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 5.93704 | + | 1.04686i | 0.397573 | + | 0.0701029i | 0.368860 | − | 0.929485i | \(-0.379748\pi\) |
0.0287129 | + | 0.999588i | \(0.490859\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −4.63924 | + | 2.26935i | −0.309283 | + | 0.151290i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 17.8453 | + | 14.9740i | 1.18444 | + | 0.993861i | 0.999939 | + | 0.0110282i | \(0.00351046\pi\) |
0.184498 | + | 0.982833i | \(0.440934\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 5.61842 | − | 0.990679i | 0.371276 | − | 0.0654659i | 0.0151026 | − | 0.999886i | \(-0.495193\pi\) |
0.356173 | + | 0.934420i | \(0.384081\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −6.02716 | − | 7.90983i | −0.396558 | − | 0.520429i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 26.2537i | 1.71994i | 0.510345 | + | 0.859970i | \(0.329518\pi\) | ||||
−0.510345 | + | 0.859970i | \(0.670482\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 10.8098 | 0.705153 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −1.43936 | + | 11.7789i | −0.0934968 | + | 0.765124i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −10.5819 | + | 1.86587i | −0.684484 | + | 0.120693i | −0.505067 | − | 0.863080i | \(-0.668532\pi\) |
−0.179417 | + | 0.983773i | \(0.557421\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 27.9936 | + | 4.93603i | 1.80323 | + | 0.317957i | 0.971466 | − | 0.237178i | \(-0.0762224\pi\) |
0.831760 | + | 0.555135i | \(0.187334\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 11.0545 | + | 10.9908i | 0.709146 | + | 0.705061i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 6.63732 | − | 16.8908i | 0.424043 | − | 1.07912i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −18.5778 | − | 6.76175i | −1.18208 | − | 0.430240i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −26.1167 | + | 11.1037i | −1.65508 | + | 0.703669i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −2.47277 | + | 4.28296i | −0.156080 | + | 0.270338i | −0.933452 | − | 0.358703i | \(-0.883219\pi\) |
0.777372 | + | 0.629041i | \(0.216552\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 4.90508 | + | 8.49584i | 0.308379 | + | 0.534129i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −0.964054 | − | 0.294132i | −0.0603714 | − | 0.0184193i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −3.66570 | − | 20.7892i | −0.228660 | − | 1.29679i | −0.855564 | − | 0.517698i | \(-0.826789\pi\) |
0.626904 | − | 0.779097i | \(-0.284322\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −1.45206 | + | 0.369416i | −0.0902265 | + | 0.0229544i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −10.8199 | − | 0.744041i | −0.669735 | − | 0.0460550i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 1.90652 | + | 5.23812i | 0.117561 | + | 0.322996i | 0.984491 | − | 0.175433i | \(-0.0561326\pi\) |
−0.866930 | + | 0.498429i | \(0.833910\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −2.01789 | + | 5.54411i | −0.123958 | + | 0.340572i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −4.12046 | + | 0.218331i | −0.252168 | + | 0.0133616i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −4.08518 | − | 7.07574i | −0.249078 | − | 0.431415i | 0.714192 | − | 0.699949i | \(-0.246794\pi\) |
−0.963270 | + | 0.268534i | \(0.913461\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −14.2833 | − | 8.24647i | −0.867649 | − | 0.500937i | −0.00108263 | − | 0.999999i | \(-0.500345\pi\) |
−0.866566 | + | 0.499062i | \(0.833678\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 19.6070 | − | 10.1229i | 1.18667 | − | 0.612665i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −2.40132 | − | 2.86178i | −0.144805 | − | 0.172572i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 15.4208 | − | 5.61271i | 0.926546 | − | 0.337235i | 0.165707 | − | 0.986175i | \(-0.447010\pi\) |
0.760840 | + | 0.648940i | \(0.224787\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 0.153466 | − | 0.618562i | 0.00918777 | − | 0.0370323i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −5.91472 | − | 16.2506i | −0.352843 | − | 0.969427i | −0.981452 | − | 0.191706i | \(-0.938598\pi\) |
0.628610 | − | 0.777721i | \(-0.283624\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 9.47841 | − | 26.0417i | 0.563433 | − | 1.54802i | −0.251135 | − | 0.967952i | \(-0.580804\pi\) |
0.814568 | − | 0.580068i | \(-0.196974\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 12.5817 | + | 13.4767i | 0.745278 | + | 0.798288i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −11.2747 | + | 15.6753i | −0.665527 | + | 0.925283i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 8.47481 | + | 14.6788i | 0.498518 | + | 0.863459i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 28.8503 | + | 3.52545i | 1.69123 | + | 0.206666i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −2.48057 | − | 14.0680i | −0.144916 | − | 0.821862i | −0.967434 | − | 0.253123i | \(-0.918542\pi\) |
0.822518 | − | 0.568740i | \(-0.192569\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −24.8322 | − | 20.8367i | −1.44579 | − | 1.21316i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −5.79078 | + | 9.67542i | −0.336015 | + | 0.561425i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −20.4552 | + | 7.44508i | −1.18295 | + | 0.430560i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −19.9969 | + | 13.6275i | −1.15260 | + | 0.785478i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 3.11007 | − | 25.4510i | 0.178669 | − | 1.46212i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 17.3751i | 0.994893i | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 26.2164 | − | 15.1360i | 1.49625 | − | 0.863860i | 0.496258 | − | 0.868175i | \(-0.334707\pi\) |
0.999991 | + | 0.00431530i | \(0.00137361\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −27.0970 | + | 6.27233i | −1.54150 | + | 0.356820i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −27.6217 | − | 10.0535i | −1.56628 | − | 0.570080i | −0.594118 | − | 0.804378i | \(-0.702499\pi\) |
−0.972165 | + | 0.234298i | \(0.924721\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −12.2416 | − | 2.15853i | −0.691936 | − | 0.122007i | −0.183388 | − | 0.983041i | \(-0.558707\pi\) |
−0.508548 | + | 0.861033i | \(0.669818\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −20.5777 | + | 0.122083i | −1.15942 | + | 0.00687857i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 7.99306 | − | 9.52575i | 0.448935 | − | 0.535020i | −0.493351 | − | 0.869831i | \(-0.664228\pi\) |
0.942285 | + | 0.334811i | \(0.108672\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −1.36228 | − | 7.72590i | −0.0762733 | − | 0.432567i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 17.3972 | − | 11.3122i | 0.971017 | − | 0.631384i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 0.921570i | 0.0512775i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 7.17885 | − | 4.14471i | 0.398211 | − | 0.229907i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 19.7461 | − | 1.04629i | 1.09196 | − | 0.0578598i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 9.93800 | + | 4.78845i | 0.547899 | + | 0.263996i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −9.05881 | − | 7.60124i | −0.497917 | − | 0.417802i | 0.358936 | − | 0.933362i | \(-0.383139\pi\) |
−0.856853 | + | 0.515560i | \(0.827584\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 1.00019 | + | 1.37331i | 0.0548102 | + | 0.0752567i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −0.784353 | + | 0.285481i | −0.0428538 | + | 0.0155975i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 12.7768 | − | 10.7210i | 0.695999 | − | 0.584012i | −0.224633 | − | 0.974443i | \(-0.572118\pi\) |
0.920632 | + | 0.390431i | \(0.127674\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 0.139553 | + | 0.149479i | 0.00757950 | + | 0.00811861i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 0.461003 | 0.0249647 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 13.5842 | − | 12.5884i | 0.733479 | − | 0.679712i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 20.1502 | + | 2.46232i | 1.08485 | + | 0.132567i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 13.5004 | + | 16.0891i | 0.724738 | + | 0.863710i | 0.995082 | − | 0.0990543i | \(-0.0315817\pi\) |
−0.270344 | + | 0.962764i | \(0.587137\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 1.30780 | − | 1.55858i | 0.0700052 | − | 0.0834289i | −0.729905 | − | 0.683548i | \(-0.760436\pi\) |
0.799910 | + | 0.600119i | \(0.204880\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −18.9116 | − | 16.3821i | −1.00943 | − | 0.874414i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 5.97307 | − | 33.8749i | 0.317914 | − | 1.80298i | −0.237478 | − | 0.971393i | \(-0.576321\pi\) |
0.555393 | − | 0.831588i | \(-0.312568\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 9.87108 | − | 27.1206i | 0.523902 | − | 1.43941i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −0.756011 | − | 0.697460i | −0.0400124 | − | 0.0369135i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −15.8073 | + | 9.12635i | −0.834278 | + | 0.481670i | −0.855315 | − | 0.518108i | \(-0.826636\pi\) |
0.0210374 | + | 0.999779i | \(0.493303\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −1.07133 | + | 1.85561i | −0.0563860 | + | 0.0976635i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 10.4218 | + | 3.17968i | 0.547003 | + | 0.166890i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −9.24846 | − | 11.0219i | −0.484087 | − | 0.576912i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 7.63485 | − | 9.09886i | 0.398536 | − | 0.474956i | −0.529037 | − | 0.848599i | \(-0.677447\pi\) |
0.927573 | + | 0.373642i | \(0.121891\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 21.2500 | + | 5.27215i | 1.10623 | + | 0.274457i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −4.31105 | + | 4.20312i | −0.223818 | + | 0.218215i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −3.97831 | + | 3.33820i | −0.205989 | + | 0.172845i | −0.739946 | − | 0.672666i | \(-0.765149\pi\) |
0.533957 | + | 0.845512i | \(0.320704\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 14.7014 | − | 0.778984i | 0.759177 | − | 0.0402266i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 17.4076 | 0.896539 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 17.0605 | 0.876340 | 0.438170 | − | 0.898892i | \(-0.355627\pi\) | ||||
0.438170 | + | 0.898892i | \(0.355627\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 18.7479 | + | 28.8327i | 0.960483 | + | 1.47715i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −19.0730 | + | 16.0042i | −0.974587 | + | 0.817775i | −0.983264 | − | 0.182187i | \(-0.941682\pi\) |
0.00867707 | + | 0.999962i | \(0.497238\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −3.67001 | − | 14.4256i | −0.187041 | − | 0.735199i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 22.7656 | + | 15.3174i | 1.15724 | + | 0.778626i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 10.1394 | − | 12.0836i | 0.514086 | − | 0.612663i | −0.445086 | − | 0.895488i | \(-0.646827\pi\) |
0.959172 | + | 0.282824i | \(0.0912714\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0.652238 | + | 0.777307i | 0.0329851 | + | 0.0393101i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 3.42372 | − | 3.19637i | 0.172704 | − | 0.161236i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −8.88111 | + | 15.3825i | −0.446857 | + | 0.773980i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 14.2110 | − | 8.20473i | 0.713230 | − | 0.411783i | −0.0990260 | − | 0.995085i | \(-0.531573\pi\) |
0.812256 | + | 0.583301i | \(0.198239\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 5.59724 | + | 17.9632i | 0.280213 | + | 0.899282i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −4.47100 | + | 12.2840i | −0.223271 | + | 0.613432i | −0.999863 | − | 0.0165720i | \(-0.994725\pi\) |
0.776592 | + | 0.630004i | \(0.216947\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −0.177630 | + | 1.00739i | −0.00884839 | + | 0.0501817i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 8.79077 | + | 21.6140i | 0.436817 | + | 1.07401i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −0.789937 | + | 0.941410i | −0.0391557 | + | 0.0466640i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −21.5577 | − | 25.6914i | −1.06596 | − | 1.27036i | −0.961198 | − | 0.275861i | \(-0.911037\pi\) |
−0.104760 | − | 0.994498i | \(-0.533407\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 14.8921 | − | 19.7863i | 0.734575 | − | 0.975987i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −13.5994 | − | 30.1563i | −0.669185 | − | 1.48389i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −42.4788 | −2.08520 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −6.35656 | + | 20.8344i | −0.311282 | + | 1.02027i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 2.19492 | − | 1.84175i | 0.107229 | − | 0.0899756i | −0.587597 | − | 0.809154i | \(-0.699926\pi\) |
0.694826 | + | 0.719178i | \(0.255481\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −1.37714 | + | 0.501238i | −0.0671177 | + | 0.0244288i | −0.375361 | − | 0.926879i | \(-0.622481\pi\) |
0.308243 | + | 0.951308i | \(0.400259\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 0.858132 | − | 12.4790i | 0.0417238 | − | 0.606751i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −0.296005 | − | 0.248377i | −0.0143583 | − | 0.0120481i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −7.69668 | + | 15.9738i | −0.372469 | + | 0.773025i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 8.20728 | − | 16.1307i | 0.396251 | − | 0.778798i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 27.6179 | − | 15.9452i | 1.33031 | − | 0.768053i | 0.344960 | − | 0.938617i | \(-0.387892\pi\) |
0.985347 | + | 0.170564i | \(0.0545591\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 25.7093i | − | 1.23551i | −0.786370 | − | 0.617756i | \(-0.788042\pi\) | ||
0.786370 | − | 0.617756i | \(-0.211958\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −14.4687 | − | 7.36164i | −0.693721 | − | 0.352964i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −3.22307 | − | 18.2789i | −0.154180 | − | 0.874399i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 7.42622 | − | 8.85022i | 0.354434 | − | 0.422398i | −0.559138 | − | 0.829074i | \(-0.688868\pi\) |
0.913572 | + | 0.406676i | \(0.133312\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −18.9722 | − | 9.00312i | −0.903437 | − | 0.428720i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 33.5393 | + | 5.91388i | 1.59350 | + | 0.280977i | 0.898812 | − | 0.438334i | \(-0.144431\pi\) |
0.694688 | + | 0.719311i | \(0.255542\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −5.80381 | − | 2.11242i | −0.275127 | − | 0.100138i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 0.0656091 | − | 0.215042i | 0.00310321 | − | 0.0101711i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 0.130210 | − | 0.0751766i | 0.00614498 | − | 0.00354780i | −0.496924 | − | 0.867794i | \(-0.665537\pi\) |
0.503069 | + | 0.864246i | \(0.332204\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 15.8373i | 0.745748i | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −14.1553 | + | 6.01823i | −0.665075 | + | 0.282761i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 32.9372 | − | 2.46137i | 1.54412 | − | 0.115391i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −23.0320 | + | 8.38297i | −1.07739 | + | 0.392139i | −0.818936 | − | 0.573884i | \(-0.805436\pi\) |
−0.258456 | + | 0.966023i | \(0.583214\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −0.416082 | + | 1.08957i | −0.0194211 | + | 0.0508569i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −31.0542 | − | 26.0575i | −1.44634 | − | 1.21362i | −0.935200 | − | 0.354121i | \(-0.884780\pi\) |
−0.511137 | − | 0.859499i | \(-0.670776\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −7.18093 | − | 40.7251i | −0.333726 | − | 1.89265i | −0.439464 | − | 0.898260i | \(-0.644831\pi\) |
0.105738 | − | 0.994394i | \(-0.466280\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0.573663 | − | 0.762193i | 0.0266030 | − | 0.0353458i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 6.77643 | + | 11.7371i | 0.313576 | + | 0.543129i | 0.979134 | − | 0.203217i | \(-0.0651397\pi\) |
−0.665558 | + | 0.746346i | \(0.731806\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −0.847556 | − | 0.0849900i | −0.0391365 | − | 0.00392447i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 3.39568 | − | 11.1298i | 0.156465 | − | 0.512833i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −6.78843 | + | 18.6511i | −0.312132 | + | 0.857576i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 2.41745 | + | 6.64188i | 0.110920 | + | 0.304750i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 6.24004 | + | 2.76961i | 0.285712 | + | 0.126812i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −11.3785 | + | 4.14144i | −0.519897 | + | 0.189227i | −0.588622 | − | 0.808409i | \(-0.700329\pi\) |
0.0687246 | + | 0.997636i | \(0.478107\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −1.75281 | − | 2.08892i | −0.0799212 | − | 0.0952464i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 17.4344 | + | 11.1898i | 0.793293 | + | 0.509152i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 37.6766 | + | 21.7526i | 1.71081 | + | 0.987735i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 15.7532 | + | 27.2853i | 0.713844 | + | 1.23641i | 0.963404 | + | 0.268055i | \(0.0863809\pi\) |
−0.249559 | + | 0.968360i | \(0.580286\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −13.3395 | − | 20.5150i | −0.603232 | − | 0.927722i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 1.81876 | − | 4.99699i | 0.0820793 | − | 0.225511i | −0.891864 | − | 0.452304i | \(-0.850602\pi\) |
0.973943 | + | 0.226794i | \(0.0728243\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −0.277531 | − | 0.762511i | −0.0124994 | − | 0.0343418i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −13.6433 | + | 9.93652i | −0.613220 | + | 0.446613i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 21.0887 | − | 20.5607i | 0.945956 | − | 0.922273i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −0.0815778 | − | 0.462650i | −0.00365192 | − | 0.0207111i | 0.982927 | − | 0.183994i | \(-0.0589027\pi\) |
−0.986579 | + | 0.163283i | \(0.947792\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −8.66515 | + | 8.08975i | −0.387130 | + | 0.361423i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −4.34578 | − | 7.52712i | −0.193769 | − | 0.335618i | 0.752727 | − | 0.658332i | \(-0.228738\pi\) |
−0.946496 | + | 0.322715i | \(0.895405\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 19.1896 | − | 33.2374i | 0.853927 | − | 1.47905i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 14.0963 | + | 10.6095i | 0.626037 | + | 0.471186i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −13.5820 | − | 4.94345i | −0.602012 | − | 0.219114i | 0.0229925 | − | 0.999736i | \(-0.492681\pi\) |
−0.625004 | + | 0.780621i | \(0.714903\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −3.62018 | − | 14.2298i | −0.160147 | − | 0.629490i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 16.5565 | − | 13.4548i | 0.730987 | − | 0.594042i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −40.9996 | − | 7.22934i | −1.80666 | − | 0.318563i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 8.91059 | − | 1.57118i | 0.391887 | − | 0.0691003i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 9.51771 | + | 7.16349i | 0.417781 | + | 0.314442i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 13.3084 | 0.583050 | 0.291525 | − | 0.956563i | \(-0.405837\pi\) | ||||
0.291525 | + | 0.956563i | \(0.405837\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 22.1919i | 0.970384i | 0.874408 | + | 0.485192i | \(0.161250\pi\) | ||||
−0.874408 | + | 0.485192i | \(0.838750\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −7.27824 | − | 3.04353i | −0.317648 | − | 0.132831i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 0.0469590 | − | 0.00828013i | 0.00204556 | − | 0.000360688i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 1.96366 | + | 1.64771i | 0.0853766 | + | 0.0716395i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −26.0256 | + | 27.0127i | −1.12942 | + | 1.17225i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −34.6078 | − | 6.10229i | −1.49903 | − | 0.264319i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 30.5897 | − | 5.39379i | 1.32251 | − | 0.233194i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −2.07655 | + | 1.35024i | −0.0896099 | + | 0.0582670i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 3.01615 | − | 14.8879i | 0.129915 | − | 0.641269i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 1.27017 | − | 2.19999i | 0.0546087 | − | 0.0945851i | −0.837429 | − | 0.546546i | \(-0.815942\pi\) |
0.892038 | + | 0.451961i | \(0.149276\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −2.33848 | + | 1.52055i | −0.100354 | + | 0.0652531i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 27.8130 | + | 10.1231i | 1.19138 | + | 0.433627i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −5.70930 | + | 32.3791i | −0.244112 | + | 1.38443i | 0.578433 | + | 0.815730i | \(0.303664\pi\) |
−0.822546 | + | 0.568699i | \(0.807447\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 20.0581 | + | 1.37931i | 0.856058 | + | 0.0588676i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −2.57746 | + | 14.6175i | −0.109803 | + | 0.622725i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −14.9789 | + | 10.2079i | −0.636968 | + | 0.434082i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 0.573484 | + | 2.47750i | 0.0243430 | + | 0.105164i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −38.4235 | − | 22.1838i | −1.62805 | − | 0.939958i | −0.984673 | − | 0.174412i | \(-0.944197\pi\) |
−0.643382 | − | 0.765545i | \(-0.722469\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −38.1408 | − | 22.0206i | −1.61319 | − | 0.931373i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −0.837427 | − | 0.102332i | −0.0353562 | − | 0.00432047i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −30.4568 | + | 25.5563i | −1.28360 | + | 1.07707i | −0.290863 | + | 0.956765i | \(0.593943\pi\) |
−0.992737 | + | 0.120304i | \(0.961613\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0.104692 | + | 0.287638i | 0.00440442 | + | 0.0121010i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −1.49262 | + | 23.7649i | −0.0626840 | + | 0.998033i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 4.39306 | + | 12.0698i | 0.184167 | + | 0.505994i | 0.997078 | − | 0.0763942i | \(-0.0243407\pi\) |
−0.812911 | + | 0.582388i | \(0.802119\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 15.4769 | − | 12.9866i | 0.647686 | − | 0.543473i | −0.258682 | − | 0.965963i | \(-0.583288\pi\) |
0.906368 | + | 0.422489i | \(0.138844\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −30.4986 | − | 3.72687i | −1.27410 | − | 0.155692i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 6.73978 | + | 3.89121i | 0.281068 | + | 0.162275i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −3.59744 | − | 2.07698i | −0.149763 | − | 0.0864660i | 0.423246 | − | 0.906015i | \(-0.360891\pi\) |
−0.573009 | + | 0.819549i | \(0.694224\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 8.47788 | + | 36.6252i | 0.352329 | + | 1.52209i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −39.0529 | − | 18.8170i | −1.62019 | − | 0.780660i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −0.857539 | + | 4.86335i | −0.0355157 | + | 0.201419i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −16.4565 | − | 33.6421i | −0.680392 | − | 1.39093i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −7.14533 | + | 40.5232i | −0.294920 | + | 1.67257i | 0.372610 | + | 0.927988i | \(0.378463\pi\) |
−0.667529 | + | 0.744584i | \(0.732648\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −0.819621 | − | 0.298318i | −0.0337719 | − | 0.0122920i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −18.0002 | + | 11.7043i | −0.740430 | + | 0.481449i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 2.89650 | − | 5.01689i | 0.118945 | − | 0.206019i | −0.800405 | − | 0.599460i | \(-0.795382\pi\) |
0.919350 | + | 0.393441i | \(0.128715\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −0.632937 | − | 1.40352i | −0.0259479 | − | 0.0575385i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 33.9240 | − | 22.0584i | 1.38842 | − | 0.902789i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −47.0439 | + | 8.29511i | −1.92216 | + | 0.338929i | −0.998968 | − | 0.0454091i | \(-0.985541\pi\) |
−0.923192 | + | 0.384338i | \(0.874430\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −8.96343 | − | 1.58049i | −0.365626 | − | 0.0644697i | −0.0121829 | − | 0.999926i | \(-0.503878\pi\) |
−0.353443 | + | 0.935456i | \(0.614989\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0.267299 | + | 0.928134i | 0.0108853 | + | 0.0377966i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 12.4939 | + | 10.4836i | 0.507948 | + | 0.426219i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 9.80730 | − | 1.72929i | 0.398066 | − | 0.0701898i | 0.0289682 | − | 0.999580i | \(-0.490778\pi\) |
0.369098 | + | 0.929391i | \(0.379667\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −10.0408 | − | 13.1772i | −0.406874 | − | 0.533966i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 20.0769i | 0.812225i | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −14.6234 | −0.590635 | −0.295317 | − | 0.955399i | \(-0.595425\pi\) | ||||
−0.295317 | + | 0.955399i | \(0.595425\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 26.1843 | + | 19.7076i | 1.05585 | + | 0.794686i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −39.1155 | + | 6.89711i | −1.57473 | + | 0.277667i | −0.891667 | − | 0.452692i | \(-0.850464\pi\) |
−0.683063 | + | 0.730360i | \(0.739353\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −16.7016 | − | 2.94495i | −0.671296 | − | 0.118368i | −0.172397 | − | 0.985028i | \(-0.555151\pi\) |
−0.498899 | + | 0.866660i | \(0.666262\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 4.44217 | − | 23.0663i | 0.178258 | − | 0.925620i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −4.40000 | − | 4.51299i | −0.176282 | − | 0.180809i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 28.7959 | + | 10.4809i | 1.15184 | + | 0.419234i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 12.3300 | + | 9.28017i | 0.492413 | + | 0.370614i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −0.0635562 | + | 0.110083i | −0.00253415 | + | 0.00438928i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 10.1926 | + | 17.6541i | 0.405761 | + | 0.702799i | 0.994410 | − | 0.105590i | \(-0.0336731\pi\) |
−0.588648 | + | 0.808389i | \(0.700340\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −8.80404 | + | 8.21941i | −0.349929 | + | 0.326692i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 8.93924 | + | 50.6969i | 0.354743 | + | 2.01185i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 31.3712 | + | 12.3274i | 1.24297 | + | 0.488431i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −30.5249 | − | 13.5483i | −1.20755 | − | 0.535963i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 9.88726 | + | 27.1650i | 0.390523 | + | 1.07295i | 0.966763 | + | 0.255673i | \(0.0822971\pi\) |
−0.576240 | + | 0.817281i | \(0.695481\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 3.06889 | − | 8.43171i | 0.121025 | − | 0.332514i | −0.864355 | − | 0.502882i | \(-0.832273\pi\) |
0.985381 | + | 0.170367i | \(0.0544954\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 22.3890 | + | 34.4325i | 0.881567 | + | 1.35578i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −24.4220 | − | 42.3001i | −0.960128 | − | 1.66299i | −0.722171 | − | 0.691715i | \(-0.756856\pi\) |
−0.237957 | − | 0.971276i | \(-0.576478\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −23.4980 | − | 13.5666i | −0.922376 | − | 0.532534i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0.865029 | − | 0.446605i | 0.0339032 | − | 0.0175038i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −6.36517 | − | 7.58571i | −0.249088 | − | 0.296852i | 0.626984 | − | 0.779033i | \(-0.284289\pi\) |
−0.876072 | + | 0.482181i | \(0.839845\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 6.58816 | − | 2.39789i | 0.257421 | − | 0.0936935i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −13.4581 | + | 9.80163i | −0.525049 | + | 0.382398i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 6.97443 | + | 19.1621i | 0.271685 | + | 0.746449i | 0.998238 | + | 0.0593380i | \(0.0188990\pi\) |
−0.726553 | + | 0.687111i | \(0.758879\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 2.41286 | − | 6.62928i | 0.0938494 | − | 0.257849i | −0.883882 | − | 0.467710i | \(-0.845079\pi\) |
0.977731 | + | 0.209861i | \(0.0673013\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 0.546288 | − | 1.79053i | 0.0212161 | − | 0.0695383i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −2.80998 | + | 28.0223i | −0.108966 | + | 1.08666i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 8.17149 | + | 14.1534i | 0.316401 | + | 0.548023i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 6.27927 | − | 8.34289i | 0.242770 | − | 0.322555i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 2.52542 | + | 14.3224i | 0.0974928 | + | 0.552909i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 31.3859 | + | 26.3359i | 1.20984 | + | 1.01517i | 0.999293 | + | 0.0375895i | \(0.0119679\pi\) |
0.210544 | + | 0.977584i | \(0.432477\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −0.140616 | + | 8.94415i | −0.00541232 | + | 0.344260i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 2.23162 | − | 0.812242i | 0.0857680 | − | 0.0312170i | −0.298780 | − | 0.954322i | \(-0.596580\pi\) |
0.384548 | + | 0.923105i | \(0.374357\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 25.0022 | + | 36.6880i | 0.959497 | + | 1.40796i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 37.1322 | − | 15.7870i | 1.42291 | − | 0.604960i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | − | 1.35064i | − | 0.0516808i | −0.999666 | − | 0.0258404i | \(-0.991774\pi\) | ||
0.999666 | − | 0.0258404i | \(-0.00822617\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 32.1019 | − | 18.5340i | 1.22655 | − | 0.708149i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 2.88361 | − | 9.45140i | 0.110017 | − | 0.360593i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −10.2970 | − | 3.74781i | −0.392286 | − | 0.142780i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −33.3633 | − | 5.88285i | −1.26920 | − | 0.223794i | −0.501812 | − | 0.864977i | \(-0.667333\pi\) |
−0.767388 | + | 0.641182i | \(0.778444\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −16.9446 | + | 3.09155i | −0.643671 | + | 0.117438i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −20.9579 | + | 24.9767i | −0.794980 | + | 0.947420i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 0.284455 | + | 1.61322i | 0.0107745 | + | 0.0611052i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 40.5285 | + | 20.6208i | 1.53293 | + | 0.779951i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 41.0135i | 1.54906i | 0.632538 | + | 0.774530i | \(0.282013\pi\) | ||||
−0.632538 | + | 0.774530i | \(0.717987\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 2.01363 | − | 1.16257i | 0.0759453 | − | 0.0438471i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 8.49048 | − | 16.6873i | 0.319770 | − | 0.628481i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 32.3653 | − | 22.0564i | 1.21722 | − | 0.829515i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −19.7567 | − | 16.5778i | −0.741979 | − | 0.622594i | 0.191389 | − | 0.981514i | \(-0.438701\pi\) |
−0.933368 | + | 0.358920i | \(0.883145\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 17.0529 | + | 11.4737i | 0.639532 | + | 0.430296i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −0.902451 | + | 0.328465i | −0.0337970 | + | 0.0123011i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 20.7526 | − | 17.4135i | 0.776102 | − | 0.651227i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −5.43107 | + | 17.8010i | −0.202827 | + | 0.664791i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −16.5418 | −0.616904 | −0.308452 | − | 0.951240i | \(-0.599811\pi\) | ||||
−0.308452 | + | 0.951240i | \(0.599811\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −34.4907 | − | 24.8080i | −1.28450 | − | 0.923900i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 29.6072 | − | 39.3374i | 1.10110 | − | 1.46297i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −4.00041 | − | 4.76750i | −0.148572 | − | 0.177061i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −4.20390 | + | 5.01002i | −0.155914 | + | 0.185811i | −0.838347 | − | 0.545137i | \(-0.816478\pi\) |
0.682433 | + | 0.730948i | \(0.260922\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 25.6495 | − | 8.43241i | 0.949980 | − | 0.312311i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −0.356493 | + | 2.02177i | −0.0131854 | + | 0.0747779i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 0.0154721 | − | 0.0425092i | 0.000571474 | − | 0.00157011i | −0.939407 | − | 0.342805i | \(-0.888623\pi\) |
0.939978 | + | 0.341235i | \(0.110845\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −20.8615 | − | 23.5130i | −0.769489 | − | 0.867289i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −0.605054 | + | 0.349328i | −0.0222874 | + | 0.0128677i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 12.8012 | − | 22.1723i | 0.470898 | − | 0.815620i | −0.528548 | − | 0.848904i | \(-0.677263\pi\) |
0.999446 | + | 0.0332840i | \(0.0105966\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −25.0301 | + | 23.3679i | −0.919502 | + | 0.858443i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 14.2738 | + | 17.0109i | 0.523655 | + | 0.624068i | 0.961441 | − | 0.275012i | \(-0.0886817\pi\) |
−0.437786 | + | 0.899079i | \(0.644237\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 0.216317 | − | 0.257797i | 0.00792525 | − | 0.00944494i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −3.37216 | + | 49.0383i | −0.123381 | + | 1.79422i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 30.5120 | + | 8.59164i | 1.11488 | + | 0.313932i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −27.8913 | + | 23.4036i | −1.01777 | + | 0.854010i | −0.989346 | − | 0.145586i | \(-0.953493\pi\) |
−0.0284237 | + | 0.999596i | \(0.509049\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 4.66948 | + | 7.18128i | 0.170165 | + | 0.261701i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −23.0236 | −0.837914 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 31.4588 | 1.14339 | 0.571695 | − | 0.820466i | \(-0.306286\pi\) | ||||
0.571695 | + | 0.820466i | \(0.306286\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 16.9679 | − | 0.899078i | 0.615895 | − | 0.0326345i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −11.8922 | + | 9.97872i | −0.431091 | + | 0.361728i | −0.832363 | − | 0.554230i | \(-0.813013\pi\) |
0.401272 | + | 0.915959i | \(0.368568\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 21.0857 | + | 21.6271i | 0.763353 | + | 0.782954i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −1.21127 | + | 1.25721i | −0.0437935 | + | 0.0454544i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 38.6999 | − | 46.1207i | 1.39737 | − | 1.66532i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −32.7371 | − | 39.0146i | −1.18053 | − | 1.40690i | −0.893549 | − | 0.448966i | \(-0.851792\pi\) |
−0.286982 | − | 0.957936i | \(-0.592652\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −34.9720 | − | 10.6699i | −1.25948 | − | 0.384267i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 12.0041 | − | 20.7916i | 0.431756 | − | 0.747824i | −0.565269 | − | 0.824907i | \(-0.691227\pi\) |
0.997025 | + | 0.0770834i | \(0.0245608\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 0.316719 | − | 0.182858i | 0.0113769 | − | 0.00656845i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −0.570234 | + | 2.53173i | −0.0204570 | + | 0.0908254i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 10.2484 | − | 28.1572i | 0.367186 | − | 1.00884i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 4.19489 | − | 23.7904i | 0.150105 | − | 0.851288i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −9.64701 | + | 16.1185i | −0.344756 | + | 0.576029i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 11.1958 | − | 13.3426i | 0.399594 | − | 0.476217i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 23.3903 | + | 27.8755i | 0.833774 | + | 0.993654i | 0.999971 | + | 0.00756100i | \(0.00240676\pi\) |
−0.166197 | + | 0.986093i | \(0.553149\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 9.58366 | + | 1.17111i | 0.341187 | + | 0.0416925i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −0.0311676 | + | 0.310816i | −0.00110819 | + | 0.0110514i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −32.2705 | −1.14596 | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 6.97363 | + | 7.46965i | 0.247329 | + | 0.264921i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 18.5769 | − | 15.5879i | 0.658028 | − | 0.552151i | −0.251467 | − | 0.967866i | \(-0.580913\pi\) |
0.909495 | + | 0.415715i | \(0.136469\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0.879435 | − | 0.320088i | 0.0311122 | − | 0.0113239i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −2.89935 | + | 6.53234i | −0.102443 | + | 0.230809i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −9.22558 | − | 7.74118i | −0.325563 | − | 0.273180i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 17.4626 | + | 25.6245i | 0.615476 | + | 0.903143i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −14.1317 | + | 0.748795i | −0.497458 | + | 0.0263588i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −29.3442 | + | 16.9419i | −1.03169 | + | 0.595646i | −0.917468 | − | 0.397810i | \(-0.869770\pi\) |
−0.114220 | + | 0.993455i | \(0.536437\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 31.8441i | − | 1.11820i | −0.829101 | − | 0.559098i | \(-0.811147\pi\) | ||
0.829101 | − | 0.559098i | \(-0.188853\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −23.9490 | + | 15.5723i | −0.839927 | + | 0.546145i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −6.36044 | − | 36.0718i | −0.222796 | − | 1.26354i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 24.1384 | − | 28.7670i | 0.844495 | − | 1.00643i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −0.226743 | − | 38.2187i | −0.00792303 | − | 1.33547i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 40.6295 | + | 7.16407i | 1.41798 | + | 0.250028i | 0.829509 | − | 0.558493i | \(-0.188620\pi\) |
0.588468 | + | 0.808520i | \(0.299731\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −15.3129 | − | 5.57346i | −0.533776 | − | 0.194279i | 0.0610476 | − | 0.998135i | \(-0.480556\pi\) |
−0.594824 | + | 0.803856i | \(0.702778\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −6.30389 | + | 1.45920i | −0.219473 | + | 0.0508029i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 16.9881 | − | 9.80811i | 0.590736 | − | 0.341061i | −0.174653 | − | 0.984630i | \(-0.555880\pi\) |
0.765388 | + | 0.643569i | \(0.222547\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 38.6506i | 1.34239i | 0.741281 | + | 0.671195i | \(0.234219\pi\) | ||||
−0.741281 | + | 0.671195i | \(0.765781\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 3.44769 | − | 28.2139i | 0.119599 | − | 0.978730i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 0.0398286 | − | 1.57070i | 0.00137998 | − | 0.0544214i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −16.6741 | + | 6.06886i | −0.577030 | + | 0.210022i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −0.834349 | − | 0.722754i | −0.0288393 | − | 0.0249820i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 24.0568 | + | 20.1861i | 0.830534 | + | 0.696901i | 0.955413 | − | 0.295271i | \(-0.0954100\pi\) |
−0.124880 | + | 0.992172i | \(0.539854\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 2.76633 | + | 15.6887i | 0.0953908 | + | 0.540988i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −29.7320 | − | 3.63320i | −1.02403 | − | 0.125134i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 13.2041 | + | 22.8702i | 0.454235 | + | 0.786758i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 6.84230 | + | 15.1726i | 0.235104 | + | 0.521336i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −32.7564 | − | 35.0863i | −1.12420 | − | 1.20416i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 0.875608 | − | 2.40571i | 0.0300155 | − | 0.0824668i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 13.2053 | + | 36.2813i | 0.452141 | + | 1.24225i | 0.931214 | + | 0.364472i | \(0.118751\pi\) |
−0.479073 | + | 0.877775i | \(0.659027\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 30.6865 | − | 8.83758i | 1.04945 | − | 0.302239i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −35.0639 | + | 12.7622i | −1.19776 | + | 0.435948i | −0.862441 | − | 0.506157i | \(-0.831066\pi\) |
−0.335317 | + | 0.942105i | \(0.608843\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 4.40030 | + | 5.24407i | 0.150136 | + | 0.178925i | 0.835871 | − | 0.548927i | \(-0.184963\pi\) |
−0.685734 | + | 0.727852i | \(0.740519\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 15.3426 | + | 29.7171i | 0.522876 | + | 1.01276i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −2.04515 | − | 1.18077i | −0.0696178 | − | 0.0401938i | 0.464787 | − | 0.885422i | \(-0.346131\pi\) |
−0.534405 | + | 0.845229i | \(0.679464\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 8.91534 | + | 15.4418i | 0.303131 | + | 0.525038i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 29.3165 | − | 1.55339i | 0.995640 | − | 0.0527560i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −5.08495 | + | 13.9708i | −0.172495 | + | 0.473926i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −0.530221 | − | 1.45677i | −0.0179659 | − | 0.0493608i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 28.1026 | − | 41.7678i | 0.951127 | − | 1.41362i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 15.6988 | + | 16.1019i | 0.530715 | + | 0.544343i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 2.02348 | + | 11.4757i | 0.0683279 | + | 0.387507i | 0.999724 | + | 0.0234992i | \(0.00748072\pi\) |
−0.931396 | + | 0.364008i | \(0.881408\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −23.6655 | − | 7.22031i | −0.798216 | − | 0.243535i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −25.9854 | − | 45.0079i | −0.875469 | − | 1.51636i | −0.856263 | − | 0.516541i | \(-0.827219\pi\) |
−0.0192061 | − | 0.999816i | \(-0.506114\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 1.83460 | − | 3.17763i | 0.0617393 | − | 0.106936i | −0.833504 | − | 0.552514i | \(-0.813669\pi\) |
0.895243 | + | 0.445578i | \(0.147002\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −51.6704 | + | 21.9680i | −1.73688 | + | 0.738448i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −28.8253 | − | 10.4915i | −0.967858 | − | 0.352271i | −0.190750 | − | 0.981639i | \(-0.561092\pi\) |
−0.777108 | + | 0.629367i | \(0.783314\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −14.2391 | + | 50.5681i | −0.477564 | + | 1.69600i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 10.3878 | + | 16.5389i | 0.348006 | + | 0.554072i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −16.8589 | − | 2.97268i | −0.564162 | − | 0.0994770i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −3.65123 | + | 0.643811i | −0.122047 | + | 0.0215202i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −4.57325 | + | 37.4248i | −0.152696 | + | 1.24958i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 0.767997 | 0.0256141 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 0.510795i | 0.0170171i | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 5.33070 | + | 41.5733i | 0.177394 | + | 1.38347i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −4.11178 | + | 0.725019i | −0.136680 | + | 0.0241004i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −2.48432 | − | 2.08459i | −0.0824904 | − | 0.0692176i | 0.600610 | − | 0.799542i | \(-0.294924\pi\) |
−0.683100 | + | 0.730324i | \(0.739369\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −36.8465 | − | 24.7914i | −1.22212 | − | 0.822279i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 20.3632 | + | 3.59058i | 0.674662 | + | 0.118961i | 0.500474 | − | 0.865751i | \(-0.333159\pi\) |
0.174188 | + | 0.984712i | \(0.444270\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −35.0156 | + | 6.17419i | −1.15885 | + | 0.204336i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 26.8223 | + | 13.6471i | 0.886717 | + | 0.451160i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 7.11904 | + | 0.713872i | 0.235091 | + | 0.0235741i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −22.0932 | + | 38.2666i | −0.728788 | + | 1.26230i | 0.228608 | + | 0.973519i | \(0.426583\pi\) |
−0.957396 | + | 0.288779i | \(0.906751\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −2.77437 | − | 52.3593i | −0.0914185 | − | 1.72530i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 50.3708 | + | 18.3335i | 1.65797 | + | 0.603453i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −0.169291 | + | 0.960098i | −0.00556626 | + | 0.0315678i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −11.6004 | + | 46.7568i | −0.381008 | + | 1.53570i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 0.564009 | − | 3.19865i | 0.0185045 | − | 0.104944i | −0.974157 | − | 0.225874i | \(-0.927476\pi\) |
0.992661 | + | 0.120929i | \(0.0385874\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −14.9965 | + | 24.5176i | −0.491491 | + | 0.803533i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −37.2150 | + | 34.7438i | −1.21837 | + | 1.13746i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −1.09363 | − | 0.631406i | −0.0357654 | − | 0.0206492i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 24.3329 | + | 14.0486i | 0.794920 | + | 0.458947i | 0.841692 | − | 0.539958i | \(-0.181560\pi\) |
−0.0467718 | + | 0.998906i | \(0.514893\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −12.9472 | + | 17.2022i | −0.422517 | + | 0.561374i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 3.23631 | − | 2.71558i | 0.105501 | − | 0.0885255i | −0.588512 | − | 0.808489i | \(-0.700286\pi\) |
0.694012 | + | 0.719963i | \(0.255841\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −11.2841 | − | 31.0027i | −0.367460 | − | 1.00959i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −15.9741 | + | 31.8621i | −0.519638 | + | 1.03647i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −13.8020 | − | 37.9208i | −0.448506 | − | 1.23226i | −0.933764 | − | 0.357890i | \(-0.883496\pi\) |
0.485258 | − | 0.874371i | \(-0.338726\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 20.4708 | − | 17.1771i | 0.664512 | − | 0.557591i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −8.42703 | − | 19.8210i | −0.273265 | − | 0.642740i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 16.4227 | + | 9.48165i | 0.531983 | + | 0.307141i | 0.741824 | − | 0.670595i | \(-0.233961\pi\) |
−0.209840 | + | 0.977736i | \(0.567294\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −39.8292 | − | 22.9954i | −1.28884 | − | 0.744113i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −12.9966 | − | 3.96526i | −0.420122 | − | 0.128179i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 37.7230 | − | 2.81901i | 1.21814 | − | 0.0910306i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 5.37526 | − | 30.4846i | 0.173395 | − | 0.983374i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −3.79834 | − | 35.7415i | −0.122400 | − | 1.15175i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −9.77141 | + | 55.4164i | −0.314553 | + | 1.78392i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 4.72573 | + | 1.72002i | 0.151969 | + | 0.0553122i | 0.416885 | − | 0.908959i | \(-0.363122\pi\) |
−0.264916 | + | 0.964272i | \(0.585344\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 1.42265 | + | 0.723841i | 0.0457021 | + | 0.0232531i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 8.48615 | − | 14.6984i | 0.272333 | − | 0.471695i | −0.697125 | − | 0.716949i | \(-0.745538\pi\) |
0.969459 | + | 0.245254i | \(0.0788713\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −30.3317 | + | 13.6786i | −0.972390 | + | 0.438514i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −0.759706 | − | 14.3376i | −0.0243301 | − | 0.459170i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 10.1582 | − | 1.79116i | 0.324989 | − | 0.0573043i | −0.00877375 | − | 0.999962i | \(-0.502793\pi\) |
0.333762 | + | 0.942657i | \(0.391682\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −5.09116 | − | 0.897709i | −0.162714 | − | 0.0286909i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 13.8942 | − | 31.3043i | 0.443609 | − | 0.999468i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −10.1715 | − | 8.53491i | −0.324421 | − | 0.272221i | 0.466001 | − | 0.884784i | \(-0.345694\pi\) |
−0.790422 | + | 0.612563i | \(0.790139\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −31.6500 | + | 5.58075i | −1.00845 | + | 0.177817i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 15.1978 | − | 11.5805i | 0.483750 | − | 0.368610i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | − | 41.3477i | − | 1.31478i | ||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −37.2285 | −1.18260 | −0.591300 | − | 0.806451i | \(-0.701385\pi\) | ||||
−0.591300 | + | 0.806451i | \(0.701385\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −18.8494 | + | 8.01394i | −0.598167 | + | 0.254315i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 59.6490 | − | 10.5177i | 1.89100 | − | 0.333434i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 38.8916 | + | 6.85765i | 1.23171 | + | 0.217184i | 0.751360 | − | 0.659893i | \(-0.229398\pi\) |
0.480351 | + | 0.877076i | \(0.340509\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 2.90560 | − | 0.465365i | 0.0919291 | − | 0.0147235i |
(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 | 756.2.ca.a.173.16 | ✓ | 144 | |
7.3 | odd | 6 | 756.2.ck.a.605.23 | yes | 144 | ||
27.5 | odd | 18 | 756.2.ck.a.5.23 | yes | 144 | ||
189.59 | even | 18 | inner | 756.2.ca.a.437.16 | yes | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
756.2.ca.a.173.16 | ✓ | 144 | 1.1 | even | 1 | trivial | |
756.2.ca.a.437.16 | yes | 144 | 189.59 | even | 18 | inner | |
756.2.ck.a.5.23 | yes | 144 | 27.5 | odd | 18 | ||
756.2.ck.a.605.23 | yes | 144 | 7.3 | odd | 6 |