Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [460,2,Mod(41,460)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(460, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("460.41");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 460 = 2^{2} \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 460.m (of order \(11\), degree \(10\), 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: | \(3.67311849298\) |
Analytic rank: | \(0\) |
Dimension: | \(30\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 441.2 | ||
Character | \(\chi\) | \(=\) | 460.441 |
Dual form | 460.2.m.a.121.2 |
$q$-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 \(\left(\mathbb{Z}/460\mathbb{Z}\right)^\times\).
\(n\) | \(231\) | \(277\) | \(281\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{2}{11}\right)\) |
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 | ||||||||
\(3\) | 0.0447663 | − | 0.0131446i | 0.0258458 | − | 0.00758902i | −0.268784 | − | 0.963200i | \(-0.586622\pi\) |
0.294630 | + | 0.955611i | \(0.404804\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 0.841254 | + | 0.540641i | 0.376220 | + | 0.241782i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.423834 | + | 2.94783i | 0.160194 | + | 1.11417i | 0.898266 | + | 0.439452i | \(0.144827\pi\) |
−0.738072 | + | 0.674722i | \(0.764264\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −2.52193 | + | 1.62075i | −0.840643 | + | 0.540249i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 0.116050 | − | 0.254114i | 0.0349904 | − | 0.0766184i | −0.891330 | − | 0.453356i | \(-0.850227\pi\) |
0.926320 | + | 0.376737i | \(0.122954\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.287174 | + | 1.99734i | −0.0796477 | + | 0.553962i | 0.910454 | + | 0.413610i | \(0.135732\pi\) |
−0.990102 | + | 0.140352i | \(0.955177\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0.0447663 | + | 0.0131446i | 0.0115586 | + | 0.00339391i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 1.46880 | + | 1.69508i | 0.356236 | + | 0.411118i | 0.905375 | − | 0.424613i | \(-0.139590\pi\) |
−0.549139 | + | 0.835731i | \(0.685044\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −2.64237 | + | 3.04946i | −0.606201 | + | 0.699593i | −0.973026 | − | 0.230697i | \(-0.925899\pi\) |
0.366825 | + | 0.930290i | \(0.380445\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0.0577214 | + | 0.126392i | 0.0125958 | + | 0.0275811i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 2.21614 | − | 4.25308i | 0.462097 | − | 0.886829i | ||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.415415 | + | 0.909632i | 0.0830830 | + | 0.181926i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −0.183253 | + | 0.211486i | −0.0352671 | + | 0.0407005i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 4.42317 | + | 5.10461i | 0.821362 | + | 0.947903i | 0.999347 | − | 0.0361307i | \(-0.0115032\pi\) |
−0.177985 | + | 0.984033i | \(0.556958\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −3.52347 | − | 1.03458i | −0.632833 | − | 0.185817i | −0.0504442 | − | 0.998727i | \(-0.516064\pi\) |
−0.582389 | + | 0.812910i | \(0.697882\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0.00185491 | − | 0.0129012i | 0.000322899 | − | 0.00224581i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −1.23716 | + | 2.70901i | −0.209119 | + | 0.457907i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 5.26609 | − | 3.38431i | 0.865739 | − | 0.556377i | −0.0307073 | − | 0.999528i | \(-0.509776\pi\) |
0.896447 | + | 0.443151i | \(0.146140\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0.0133984 | + | 0.0931882i | 0.00214547 | + | 0.0149221i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 7.90965 | + | 5.08323i | 1.23528 | + | 0.793866i | 0.984705 | − | 0.174231i | \(-0.0557438\pi\) |
0.250575 | + | 0.968097i | \(0.419380\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 1.04239 | − | 0.306072i | 0.158962 | − | 0.0466756i | −0.201283 | − | 0.979533i | \(-0.564511\pi\) |
0.360245 | + | 0.932858i | \(0.382693\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −2.99782 | −0.446889 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −4.44460 | −0.648312 | −0.324156 | − | 0.946004i | \(-0.605080\pi\) | ||||
−0.324156 | + | 0.946004i | \(0.605080\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −1.79360 | + | 0.526649i | −0.256229 | + | 0.0752356i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0.0880338 | + | 0.0565759i | 0.0123272 | + | 0.00792221i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −0.0276399 | − | 0.192240i | −0.00379663 | − | 0.0264062i | 0.987835 | − | 0.155505i | \(-0.0497006\pi\) |
−0.991632 | + | 0.129099i | \(0.958791\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.235012 | − | 0.151033i | 0.0316890 | − | 0.0203653i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −0.0782053 | + | 0.171246i | −0.0103585 | + | 0.0226821i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −1.27607 | + | 8.87523i | −0.166130 | + | 1.15546i | 0.720662 | + | 0.693287i | \(0.243838\pi\) |
−0.886792 | + | 0.462170i | \(0.847071\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −2.28267 | − | 0.670253i | −0.292266 | − | 0.0858171i | 0.132313 | − | 0.991208i | \(-0.457760\pi\) |
−0.424579 | + | 0.905391i | \(0.639578\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −5.84656 | − | 6.74729i | −0.736597 | − | 0.850078i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −1.32143 | + | 1.52501i | −0.163903 | + | 0.189154i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −4.17476 | − | 9.14146i | −0.510029 | − | 1.11681i | −0.973078 | − | 0.230474i | \(-0.925972\pi\) |
0.463050 | − | 0.886332i | \(-0.346755\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 0.0433035 | − | 0.219525i | 0.00521313 | − | 0.0264277i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −5.39907 | − | 11.8223i | −0.640752 | − | 1.40305i | −0.899420 | − | 0.437085i | \(-0.856011\pi\) |
0.258668 | − | 0.965966i | \(-0.416716\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 8.19579 | − | 9.45844i | 0.959244 | − | 1.10703i | −0.0349459 | − | 0.999389i | \(-0.511126\pi\) |
0.994190 | − | 0.107638i | \(-0.0343287\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 0.0305533 | + | 0.0352604i | 0.00352799 | + | 0.00407152i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 0.798272 | + | 0.234394i | 0.0909715 | + | 0.0267116i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −0.917054 | + | 6.37825i | −0.103177 | + | 0.717610i | 0.870911 | + | 0.491440i | \(0.163529\pi\) |
−0.974088 | + | 0.226169i | \(0.927380\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 3.73060 | − | 8.16887i | 0.414511 | − | 0.907652i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 7.09216 | − | 4.55785i | 0.778465 | − | 0.500289i | −0.0900587 | − | 0.995936i | \(-0.528705\pi\) |
0.868524 | + | 0.495647i | \(0.165069\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.319200 | + | 2.22009i | 0.0346221 | + | 0.240802i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 0.265107 | + | 0.170374i | 0.0284225 | + | 0.0182660i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 0.984393 | − | 0.289044i | 0.104345 | − | 0.0306386i | −0.229143 | − | 0.973393i | \(-0.573592\pi\) |
0.333488 | + | 0.942754i | \(0.391774\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −6.00952 | −0.629969 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −0.171332 | −0.0177663 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −3.87156 | + | 1.13679i | −0.397214 | + | 0.116633i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −10.8010 | − | 6.94136i | −1.09667 | − | 0.704788i | −0.138322 | − | 0.990387i | \(-0.544171\pi\) |
−0.958349 | + | 0.285599i | \(0.907807\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0.119185 | + | 0.828946i | 0.0119785 | + | 0.0833123i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 2.85238 | − | 1.83311i | 0.283823 | − | 0.182402i | −0.390982 | − | 0.920398i | \(-0.627864\pi\) |
0.674804 | + | 0.737997i | \(0.264228\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 5.77460 | − | 12.6446i | 0.568988 | − | 1.24591i | −0.378347 | − | 0.925664i | \(-0.623507\pi\) |
0.947335 | − | 0.320246i | \(-0.103765\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −0.0197745 | + | 0.137534i | −0.00192979 | + | 0.0134220i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 4.58015 | + | 1.34485i | 0.442780 | + | 0.130012i | 0.495520 | − | 0.868596i | \(-0.334977\pi\) |
−0.0527406 | + | 0.998608i | \(0.516796\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −2.32042 | − | 2.67790i | −0.222256 | − | 0.256497i | 0.633661 | − | 0.773611i | \(-0.281552\pi\) |
−0.855916 | + | 0.517115i | \(0.827006\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 0.191258 | − | 0.220724i | 0.0181534 | − | 0.0209501i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 1.30443 | + | 2.85631i | 0.122711 | + | 0.268699i | 0.961011 | − | 0.276510i | \(-0.0891778\pi\) |
−0.838301 | + | 0.545208i | \(0.816451\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 4.16373 | − | 2.37978i | 0.388270 | − | 0.221916i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −2.51294 | − | 5.50258i | −0.232322 | − | 0.508714i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −4.37429 | + | 5.04819i | −0.400990 | + | 0.462767i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 7.15236 | + | 8.25427i | 0.650215 | + | 0.750388i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 0.420903 | + | 0.123588i | 0.0379515 | + | 0.0111436i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −0.142315 | + | 0.989821i | −0.0127290 | + | 0.0885323i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −0.437510 | + | 0.958013i | −0.0388227 | + | 0.0850099i | −0.928050 | − | 0.372456i | \(-0.878516\pi\) |
0.889227 | + | 0.457466i | \(0.151243\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 0.0426406 | − | 0.0274034i | 0.00375429 | − | 0.00241274i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −1.78544 | − | 12.4180i | −0.155995 | − | 1.08497i | −0.905921 | − | 0.423447i | \(-0.860820\pi\) |
0.749926 | − | 0.661522i | \(-0.230089\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −10.1092 | − | 6.49679i | −0.876579 | − | 0.563343i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −0.268500 | + | 0.0788388i | −0.0231088 | + | 0.00678537i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 8.45078 | 0.721999 | 0.360999 | − | 0.932566i | \(-0.382436\pi\) | ||||
0.360999 | + | 0.932566i | \(0.382436\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −13.6424 | −1.15713 | −0.578566 | − | 0.815636i | \(-0.696387\pi\) | ||||
−0.578566 | + | 0.815636i | \(0.696387\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −0.198968 | + | 0.0584224i | −0.0167562 | + | 0.00492005i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 0.474226 | + | 0.304766i | 0.0396568 | + | 0.0254858i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0.961247 | + | 6.68562i | 0.0798272 | + | 0.555210i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −0.0733704 | + | 0.0471523i | −0.00605149 | + | 0.00388905i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −7.61559 | + | 16.6758i | −0.623893 | + | 1.36614i | 0.288761 | + | 0.957401i | \(0.406757\pi\) |
−0.912654 | + | 0.408734i | \(0.865970\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 1.91145 | − | 13.2944i | 0.155551 | − | 1.08188i | −0.751157 | − | 0.660124i | \(-0.770504\pi\) |
0.906708 | − | 0.421759i | \(-0.138587\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −6.45150 | − | 1.89433i | −0.521573 | − | 0.153148i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −2.40479 | − | 2.77528i | −0.193157 | − | 0.222916i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −1.36233 | + | 1.57221i | −0.108726 | + | 0.125476i | −0.807504 | − | 0.589862i | \(-0.799182\pi\) |
0.698778 | + | 0.715338i | \(0.253727\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −0.00376425 | − | 0.00824255i | −0.000298524 | − | 0.000653677i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 13.4766 | + | 4.73020i | 1.06211 | + | 0.372792i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −4.10288 | − | 8.98406i | −0.321363 | − | 0.703686i | 0.678149 | − | 0.734924i | \(-0.262782\pi\) |
−0.999512 | + | 0.0312380i | \(0.990055\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0.00853537 | − | 0.00985034i | 0.000664477 | − | 0.000766848i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 10.9281 | + | 12.6117i | 0.845640 | + | 0.975921i | 0.999927 | − | 0.0121052i | \(-0.00385331\pi\) |
−0.154286 | + | 0.988026i | \(0.549308\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 8.56652 | + | 2.51536i | 0.658963 | + | 0.193489i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 1.72147 | − | 11.9731i | 0.131644 | − | 0.915607i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 0.354550 | − | 0.776357i | 0.0269560 | − | 0.0590253i | −0.895675 | − | 0.444709i | \(-0.853307\pi\) |
0.922631 | + | 0.385684i | \(0.126034\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −2.50537 | + | 1.61010i | −0.189388 | + | 0.121712i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 0.0595364 | + | 0.414085i | 0.00447503 | + | 0.0311245i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 1.61378 | + | 1.03711i | 0.120619 | + | 0.0775174i | 0.599559 | − | 0.800330i | \(-0.295342\pi\) |
−0.478940 | + | 0.877848i | \(0.658979\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −6.01911 | + | 1.76737i | −0.447397 | + | 0.131368i | −0.497667 | − | 0.867368i | \(-0.665810\pi\) |
0.0502701 | + | 0.998736i | \(0.483992\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −0.110997 | −0.00820514 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 6.25981 | 0.460230 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0.601199 | − | 0.176528i | 0.0439640 | − | 0.0129090i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −0.701093 | − | 0.450565i | −0.0509970 | − | 0.0327738i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 2.52104 | + | 17.5342i | 0.182416 | + | 1.26873i | 0.851028 | + | 0.525121i | \(0.175980\pi\) |
−0.668611 | + | 0.743612i | \(0.733111\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 19.7149 | − | 12.6700i | 1.41911 | − | 0.912005i | 0.419115 | − | 0.907933i | \(-0.362340\pi\) |
0.999992 | − | 0.00407167i | \(-0.00129606\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −0.0391099 | + | 0.0856387i | −0.00280072 | + | 0.00613271i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −1.88432 | + | 13.1057i | −0.134252 | + | 0.933744i | 0.805672 | + | 0.592361i | \(0.201804\pi\) |
−0.939925 | + | 0.341382i | \(0.889105\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −6.21074 | − | 1.82364i | −0.440268 | − | 0.129274i | 0.0540838 | − | 0.998536i | \(-0.482776\pi\) |
−0.494351 | + | 0.869262i | \(0.664594\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −0.307049 | − | 0.354354i | −0.0216576 | − | 0.0249942i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −13.1728 | + | 15.2023i | −0.924551 | + | 1.06699i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 3.90582 | + | 8.55256i | 0.272795 | + | 0.597337i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 1.30421 | + | 14.3178i | 0.0906491 | + | 0.995154i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 0.468264 | + | 1.02535i | 0.0323905 | + | 0.0709252i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −6.23790 | + | 7.19892i | −0.429435 | + | 0.495594i | −0.928688 | − | 0.370862i | \(-0.879062\pi\) |
0.499253 | + | 0.866456i | \(0.333608\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −0.397096 | − | 0.458273i | −0.0272086 | − | 0.0314004i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 1.04239 | + | 0.306072i | 0.0710901 | + | 0.0208739i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 1.55641 | − | 10.8251i | 0.105656 | − | 0.734853i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 0.242568 | − | 0.531150i | 0.0163912 | − | 0.0358918i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −3.80745 | + | 2.44690i | −0.256117 | + | 0.164596i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 3.66703 | + | 25.5048i | 0.245562 | + | 1.70792i | 0.623276 | + | 0.782002i | \(0.285801\pi\) |
−0.377713 | + | 0.925923i | \(0.623290\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −2.52193 | − | 1.62075i | −0.168129 | − | 0.108050i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 8.56609 | − | 2.51523i | 0.568551 | − | 0.166942i | 0.0151924 | − | 0.999885i | \(-0.495164\pi\) |
0.553359 | + | 0.832943i | \(0.313346\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −16.1261 | −1.06564 | −0.532821 | − | 0.846228i | \(-0.678868\pi\) | ||||
−0.532821 | + | 0.846228i | \(0.678868\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0.0388167 | 0.00255395 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 10.6789 | − | 3.13561i | 0.699599 | − | 0.205421i | 0.0874569 | − | 0.996168i | \(-0.472126\pi\) |
0.612143 | + | 0.790747i | \(0.290308\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −3.73904 | − | 2.40293i | −0.243908 | − | 0.156750i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 0.0427863 | + | 0.297585i | 0.00277927 | + | 0.0193302i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 16.2462 | − | 10.4408i | 1.05088 | − | 0.675359i | 0.103225 | − | 0.994658i | \(-0.467084\pi\) |
0.947654 | + | 0.319299i | \(0.103447\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −9.55704 | + | 20.9270i | −0.615623 | + | 1.34803i | 0.303038 | + | 0.952979i | \(0.401999\pi\) |
−0.918661 | + | 0.395048i | \(0.870728\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 0.179103 | − | 1.24569i | 0.0114895 | − | 0.0799110i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −1.79360 | − | 0.526649i | −0.114589 | − | 0.0336464i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −5.33198 | − | 6.15343i | −0.339265 | − | 0.391533i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 0.257579 | − | 0.297262i | 0.0163234 | − | 0.0188382i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 3.15836 | + | 6.91583i | 0.199354 | + | 0.436524i | 0.982735 | − | 0.185017i | \(-0.0592342\pi\) |
−0.783382 | + | 0.621541i | \(0.786507\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −0.823586 | − | 1.05672i | −0.0517784 | − | 0.0664357i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 0.0434715 | + | 0.0951893i | 0.00272229 | + | 0.00596099i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 18.4932 | − | 21.3423i | 1.15358 | − | 1.33130i | 0.218920 | − | 0.975743i | \(-0.429747\pi\) |
0.934656 | − | 0.355555i | \(-0.115708\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 12.2083 | + | 14.0891i | 0.758587 | + | 0.875456i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −19.4282 | − | 5.70463i | −1.20258 | − | 0.353108i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −0.220540 | + | 1.53389i | −0.0135991 | + | 0.0945835i | −0.995491 | − | 0.0948605i | \(-0.969759\pi\) |
0.981892 | + | 0.189444i | \(0.0606686\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0.0806805 | − | 0.176666i | 0.00495617 | − | 0.0108525i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0.0402683 | − | 0.0258789i | 0.00246438 | − | 0.00158376i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 3.16608 | + | 22.0206i | 0.193039 | + | 1.34262i | 0.823906 | + | 0.566727i | \(0.191790\pi\) |
−0.630867 | + | 0.775891i | \(0.717300\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −4.20783 | − | 2.70421i | −0.255607 | − | 0.164269i | 0.406562 | − | 0.913623i | \(-0.366728\pi\) |
−0.662169 | + | 0.749354i | \(0.730364\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −0.269024 | + | 0.0789926i | −0.0162821 | + | 0.00478085i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 0.279360 | 0.0168460 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −24.2911 | −1.45951 | −0.729756 | − | 0.683708i | \(-0.760366\pi\) | ||||
−0.729756 | + | 0.683708i | \(0.760366\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 10.5627 | − | 3.10150i | 0.632374 | − | 0.185682i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 16.4389 | + | 10.5647i | 0.980665 | + | 0.630235i | 0.929643 | − | 0.368462i | \(-0.120116\pi\) |
0.0510225 | + | 0.998698i | \(0.483752\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 1.50374 | + | 10.4587i | 0.0893881 | + | 0.621708i | 0.984437 | + | 0.175739i | \(0.0562316\pi\) |
−0.895049 | + | 0.445969i | \(0.852859\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −0.158373 | + | 0.101780i | −0.00938120 | + | 0.00602893i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −11.6321 | + | 25.4707i | −0.686621 | + | 1.50349i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 1.70341 | − | 11.8475i | 0.100201 | − | 0.696912i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −0.574760 | − | 0.168765i | −0.0336931 | − | 0.00989317i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 3.04354 | + | 3.51243i | 0.177805 | + | 0.205198i | 0.837656 | − | 0.546199i | \(-0.183926\pi\) |
−0.659850 | + | 0.751397i | \(0.729380\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −5.87180 | + | 6.77642i | −0.341870 | + | 0.394539i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 0.0324750 | + | 0.0711103i | 0.00188439 | + | 0.00412624i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 7.85843 | + | 5.64776i | 0.454464 | + | 0.326618i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 1.34405 | + | 2.94305i | 0.0774695 | + | 0.169635i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 0.103595 | − | 0.119555i | 0.00595138 | − | 0.00686826i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −1.55794 | − | 1.79796i | −0.0892074 | − | 0.102951i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 24.9718 | + | 7.33238i | 1.42521 | + | 0.418481i | 0.901265 | − | 0.433268i | \(-0.142640\pi\) |
0.523950 | + | 0.851749i | \(0.324458\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0.0922995 | − | 0.641957i | 0.00525073 | − | 0.0365196i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 5.31445 | − | 11.6370i | 0.301355 | − | 0.659876i | −0.697008 | − | 0.717063i | \(-0.745486\pi\) |
0.998363 | + | 0.0571874i | \(0.0182133\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −0.493249 | + | 0.316992i | −0.0278801 | + | 0.0179175i | −0.554507 | − | 0.832179i | \(-0.687093\pi\) |
0.526627 | + | 0.850097i | \(0.323457\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −1.27058 | − | 8.83707i | −0.0715890 | − | 0.497912i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −12.8061 | − | 8.22995i | −0.719260 | − | 0.462240i | 0.129120 | − | 0.991629i | \(-0.458785\pi\) |
−0.848379 | + | 0.529389i | \(0.822421\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 1.81047 | − | 0.531601i | 0.101367 | − | 0.0297639i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 0.222714 | 0.0124307 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −9.05018 | −0.503566 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −1.93614 | + | 0.568502i | −0.107398 | + | 0.0315348i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −0.139076 | − | 0.0893789i | −0.00769094 | − | 0.00494267i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −1.88377 | − | 13.1019i | −0.103856 | − | 0.722332i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 11.9894 | − | 7.70510i | 0.658996 | − | 0.423511i | −0.167948 | − | 0.985796i | \(-0.553714\pi\) |
0.826943 | + | 0.562285i | \(0.190078\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −7.79560 | + | 17.0700i | −0.427196 | + | 0.935429i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 1.43021 | − | 9.94733i | 0.0781407 | − | 0.543481i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −30.6673 | − | 9.00472i | −1.67055 | − | 0.490518i | −0.696635 | − | 0.717425i | \(-0.745320\pi\) |
−0.973916 | + | 0.226907i | \(0.927139\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 0.0959396 | + | 0.110720i | 0.00521072 | + | 0.00601349i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −0.671801 | + | 0.775300i | −0.0363801 | + | 0.0419848i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 6.34749 | + | 13.8991i | 0.342732 | + | 0.750479i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0.155113 | − | 0.161265i | 0.00835103 | − | 0.00868219i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −2.48941 | − | 5.45105i | −0.133639 | − | 0.292628i | 0.830968 | − | 0.556320i | \(-0.187787\pi\) |
−0.964607 | + | 0.263692i | \(0.915060\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 19.1292 | − | 22.0763i | 1.02396 | − | 1.18172i | 0.0407670 | − | 0.999169i | \(-0.487020\pi\) |
0.983197 | − | 0.182549i | \(-0.0584347\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −0.369783 | − | 0.426752i | −0.0197376 | − | 0.0227783i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 20.6487 | + | 6.06300i | 1.09902 | + | 0.322701i | 0.780462 | − | 0.625203i | \(-0.214984\pi\) |
0.318556 | + | 0.947904i | \(0.396802\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 1.84964 | − | 12.8645i | 0.0981687 | − | 0.682778i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −0.129464 | + | 0.283487i | −0.00685197 | + | 0.0150037i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 7.81442 | − | 5.02203i | 0.412430 | − | 0.265052i | −0.317932 | − | 0.948114i | \(-0.602988\pi\) |
0.730361 | + | 0.683061i | \(0.239352\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 0.386912 | + | 2.69103i | 0.0203638 | + | 0.141633i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 0.428684 | + | 0.275498i | 0.0225001 | + | 0.0144599i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 12.0084 | − | 3.52597i | 0.628546 | − | 0.184558i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 16.9124 | 0.882821 | 0.441411 | − | 0.897305i | \(-0.354478\pi\) | ||||
0.441411 | + | 0.897305i | \(0.354478\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −28.1862 | −1.46732 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 0.554975 | − | 0.162955i | 0.0288129 | − | 0.00846022i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −25.3642 | − | 16.3006i | −1.31331 | − | 0.844011i | −0.318712 | − | 0.947852i | \(-0.603250\pi\) |
−0.994594 | + | 0.103841i | \(0.966887\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0.00663987 | + | 0.0461813i | 0.000342882 | + | 0.00238479i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −11.4659 | + | 7.36866i | −0.590521 | + | 0.379505i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 4.57823 | − | 10.0249i | 0.235168 | − | 0.514946i | −0.754848 | − | 0.655899i | \(-0.772290\pi\) |
0.990016 | + | 0.140954i | \(0.0450168\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −0.00699303 | + | 0.0486376i | −0.000358264 | + | 0.00249178i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −13.5374 | − | 3.97493i | −0.691727 | − | 0.203109i | −0.0830709 | − | 0.996544i | \(-0.526473\pi\) |
−0.608656 | + | 0.793434i | \(0.708291\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0.544826 | + | 0.628763i | 0.0277669 | + | 0.0320447i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −2.13276 | + | 2.46133i | −0.108414 | + | 0.125117i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −12.5461 | − | 27.4720i | −0.636111 | − | 1.39289i | −0.903202 | − | 0.429217i | \(-0.858790\pi\) |
0.267091 | − | 0.963671i | \(-0.413938\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 10.4644 | − | 2.49037i | 0.529207 | − | 0.125944i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −0.243157 | − | 0.532440i | −0.0122657 | − | 0.0268581i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −4.21982 | + | 4.86993i | −0.212322 | + | 0.245033i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −14.1431 | − | 16.3220i | −0.709823 | − | 0.819179i | 0.280221 | − | 0.959935i | \(-0.409592\pi\) |
−0.990044 | + | 0.140756i | \(0.955047\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −0.537949 | − | 0.157956i | −0.0269311 | − | 0.00790769i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 2.44544 | − | 17.0084i | 0.122119 | − | 0.849358i | −0.833029 | − | 0.553230i | \(-0.813395\pi\) |
0.955148 | − | 0.296129i | \(-0.0956957\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 3.07826 | − | 6.74045i | 0.153339 | − | 0.335766i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 7.55480 | − | 4.85518i | 0.375401 | − | 0.241256i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −0.248871 | − | 1.73094i | −0.0123361 | − | 0.0857994i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −14.6990 | − | 9.44646i | −0.726818 | − | 0.467097i | 0.124185 | − | 0.992259i | \(-0.460368\pi\) |
−0.851002 | + | 0.525162i | \(0.824005\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 0.378310 | − | 0.111082i | 0.0186607 | − | 0.00547927i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −26.7035 | −1.31399 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 8.43046 | 0.413835 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −0.610719 | + | 0.179323i | −0.0299070 | + | 0.00878150i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 12.1199 | + | 7.78900i | 0.592097 | + | 0.380518i | 0.802106 | − | 0.597182i | \(-0.203713\pi\) |
−0.210009 | + | 0.977699i | \(0.567349\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 5.30471 | + | 36.8951i | 0.258536 | + | 1.79816i | 0.543279 | + | 0.839552i | \(0.317183\pi\) |
−0.284743 | + | 0.958604i | \(0.591908\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 11.2090 | − | 7.20357i | 0.544999 | − | 0.350249i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −0.931741 | + | 2.04023i | −0.0451961 | + | 0.0989656i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 1.00832 | − | 7.01300i | 0.0487959 | − | 0.339383i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 0.0252354 | + | 0.00740977i | 0.00121837 | + | 0.000357747i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −24.7585 | − | 28.5728i | −1.19258 | − | 1.37631i | −0.908703 | − | 0.417444i | \(-0.862926\pi\) |
−0.283873 | − | 0.958862i | \(-0.591619\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −13.0595 | + | 15.0714i | −0.627598 | + | 0.724287i | −0.977131 | − | 0.212637i | \(-0.931795\pi\) |
0.349533 | + | 0.936924i | \(0.386340\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0.130911 | + | 0.286655i | 0.00627671 | + | 0.0137441i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 7.11373 | + | 17.9962i | 0.340296 | + | 0.860877i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −8.76405 | − | 19.1906i | −0.418285 | − | 0.915917i | −0.995084 | − | 0.0990311i | \(-0.968426\pi\) |
0.576799 | − | 0.816886i | \(-0.304302\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 3.66977 | − | 4.23514i | 0.174751 | − | 0.201674i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 11.7673 | + | 13.5802i | 0.559081 | + | 0.645214i | 0.962975 | − | 0.269592i | \(-0.0868888\pi\) |
−0.403893 | + | 0.914806i | \(0.632343\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0.984393 | + | 0.289044i | 0.0466647 | + | 0.0137020i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −0.121725 | + | 0.846618i | −0.00575741 | + | 0.0400437i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 11.9826 | − | 26.2382i | 0.565493 | − | 1.23826i | −0.383669 | − | 0.923471i | \(-0.625340\pi\) |
0.949162 | − | 0.314787i | \(-0.101933\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 2.20964 | − | 1.42005i | 0.104048 | − | 0.0668674i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −0.0891809 | − | 0.620267i | −0.00419008 | − | 0.0291427i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −5.05553 | − | 3.24899i | −0.237007 | − | 0.152315i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 18.9640 | − | 5.56832i | 0.887097 | − | 0.260475i | 0.193726 | − | 0.981056i | \(-0.437943\pi\) |
0.693371 | + | 0.720580i | \(0.256125\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −0.627648 | −0.0292961 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −28.7215 | −1.33769 | −0.668846 | − | 0.743401i | \(-0.733212\pi\) | ||||
−0.668846 | + | 0.743401i | \(0.733212\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −9.45598 | + | 2.77653i | −0.439457 | + | 0.129036i | −0.493974 | − | 0.869477i | \(-0.664456\pi\) |
0.0545173 | + | 0.998513i | \(0.482638\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −0.144133 | − | 0.0926289i | −0.00668403 | − | 0.00429556i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 4.94738 | + | 34.4098i | 0.228938 | + | 1.59230i | 0.702597 | + | 0.711588i | \(0.252024\pi\) |
−0.473659 | + | 0.880708i | \(0.657067\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 25.1780 | − | 16.1809i | 1.16261 | − | 0.747166i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −0.0403204 | + | 0.0882893i | −0.00185786 | + | 0.00406816i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 0.0431917 | − | 0.300405i | 0.00198596 | − | 0.0138126i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −3.87156 | − | 1.13679i | −0.177639 | − | 0.0521597i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0.381278 | + | 0.440018i | 0.0174575 | + | 0.0201470i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −3.07644 | + | 3.55040i | −0.140566 | + | 0.162222i | −0.821667 | − | 0.569967i | \(-0.806956\pi\) |
0.681101 | + | 0.732189i | \(0.261501\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 5.24733 | + | 11.4900i | 0.239257 | + | 0.523901i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 0.665476 | + | 0.0346092i | 0.0302802 | + | 0.00157477i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −5.33357 | − | 11.6789i | −0.242185 | − | 0.530311i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 10.5225 | − | 12.1436i | 0.476820 | − | 0.550280i | −0.465476 | − | 0.885060i | \(-0.654117\pi\) |
0.942296 | + | 0.334781i | \(0.108662\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −0.301763 | − | 0.348253i | −0.0136462 | − | 0.0157485i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −18.3137 | − | 5.37739i | −0.826486 | − | 0.242678i | −0.158979 | − | 0.987282i | \(-0.550820\pi\) |
−0.667507 | + | 0.744604i | \(0.732639\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −2.15600 | + | 14.9953i | −0.0971012 | + | 0.675353i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −0.347898 | + | 0.761790i | −0.0156368 | + | 0.0342399i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 32.5619 | − | 20.9262i | 1.46060 | − | 0.938670i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −3.64675 | − | 25.3637i | −0.163251 | − | 1.13544i | −0.892454 | − | 0.451139i | \(-0.851018\pi\) |
0.729203 | − | 0.684298i | \(-0.239891\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 0.654985 | + | 0.420933i | 0.0292626 | + | 0.0188059i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 8.34924 | − | 2.45156i | 0.372274 | − | 0.109310i | −0.0902432 | − | 0.995920i | \(-0.528764\pi\) |
0.462517 | + | 0.886610i | \(0.346946\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 3.39063 | 0.150881 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 0.416555 | 0.0184998 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 11.2681 | − | 3.30861i | 0.499450 | − | 0.146652i | −0.0222980 | − | 0.999751i | \(-0.507098\pi\) |
0.521748 | + | 0.853100i | \(0.325280\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 31.3555 | + | 20.1510i | 1.38709 | + | 0.891426i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −0.160693 | − | 1.11765i | −0.00709478 | − | 0.0493453i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 11.6941 | − | 7.51533i | 0.515303 | − | 0.331165i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −0.515797 | + | 1.12944i | −0.0226847 | + | 0.0496726i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0.00566703 | − | 0.0394150i | 0.000248755 | − | 0.00173013i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 1.42515 | + | 0.418463i | 0.0624371 | + | 0.0183332i | 0.312802 | − | 0.949818i | \(-0.398732\pi\) |
−0.250365 | + | 0.968152i | \(0.580551\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 0.404488 | + | 0.466804i | 0.0176870 | + | 0.0204119i | 0.764524 | − | 0.644595i | \(-0.222974\pi\) |
−0.746837 | + | 0.665007i | \(0.768429\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −0.0909921 | + | 0.105010i | −0.00397122 | + | 0.00458303i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −3.42155 | − | 7.49216i | −0.149045 | − | 0.326363i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −13.1774 | − | 18.8509i | −0.572932 | − | 0.819603i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −11.1663 | − | 24.4509i | −0.484578 | − | 1.06108i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −12.4244 | + | 14.3385i | −0.538159 | + | 0.621069i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 3.12598 | + | 3.60758i | 0.135148 | + | 0.155969i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 0.0858753 | + | 0.0252153i | 0.00370579 | + | 0.00108812i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −0.0743187 | + | 0.516898i | −0.00320113 | + | 0.0222644i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −6.56383 | + | 14.3728i | −0.282201 | + | 0.617934i | −0.996653 | − | 0.0817507i | \(-0.973949\pi\) |
0.714452 | + | 0.699685i | \(0.246676\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −0.246222 | + | 0.158237i | −0.0105664 | + | 0.00679062i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −0.504275 | − | 3.50731i | −0.0216007 | − | 0.150236i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −2.40938 | − | 1.54842i | −0.103018 | − | 0.0662055i | 0.488118 | − | 0.872778i | \(-0.337684\pi\) |
−0.591135 | + | 0.806572i | \(0.701320\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 6.84305 | − | 2.00930i | 0.292054 | − | 0.0857548i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −27.2539 | −1.16106 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −19.1907 | −0.816070 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 0.280229 | − | 0.0822825i | 0.0118950 | − | 0.00349270i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −25.6497 | − | 16.4841i | −1.08681 | − | 0.698453i | −0.130692 | − | 0.991423i | \(-0.541720\pi\) |
−0.956122 | + | 0.292970i | \(0.905356\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 0.311983 | + | 2.16989i | 0.0131955 | + | 0.0917767i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0.0245931 | − | 0.0158050i | 0.00103832 | − | 0.000667288i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −7.17373 | + | 15.7083i | −0.302337 | + | 0.662025i | −0.998435 | − | 0.0559214i | \(-0.982190\pi\) |
0.696099 | + | 0.717946i | \(0.254918\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −0.446878 | + | 3.10811i | −0.0188003 | + | 0.130759i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 25.6616 | + | 7.53492i | 1.07768 | + | 0.316437i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −20.5908 | − | 23.7630i | −0.863211 | − | 0.996199i | −0.999984 | − | 0.00559615i | \(-0.998219\pi\) |
0.136773 | − | 0.990602i | \(-0.456327\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −26.3971 | + | 30.4638i | −1.10468 | + | 1.27487i | −0.146345 | + | 0.989234i | \(0.546751\pi\) |
−0.958338 | + | 0.285638i | \(0.907794\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 0.343338 | + | 0.751805i | 0.0143431 | + | 0.0314071i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 4.78936 | + | 0.249079i | 0.199730 | + | 0.0103873i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −6.15706 | − | 13.4821i | −0.256322 | − | 0.561267i | 0.737099 | − | 0.675784i | \(-0.236195\pi\) |
−0.993421 | + | 0.114518i | \(0.963468\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 0.716020 | − | 0.826332i | 0.0297568 | − | 0.0343412i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 16.4417 | + | 18.9747i | 0.682115 | + | 0.787202i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −0.0520585 | − | 0.0152858i | −0.00215604 | − | 0.000633072i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 0.860896 | − | 5.98767i | 0.0355937 | − | 0.247560i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −15.8070 | + | 34.6125i | −0.652424 | + | 1.42861i | 0.236992 | + | 0.971512i | \(0.423838\pi\) |
−0.889416 | + | 0.457098i | \(0.848889\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 12.4652 | − | 8.01091i | 0.513620 | − | 0.330084i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 0.0879151 | + | 0.611463i | 0.00361635 | + | 0.0251522i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 23.0636 | + | 14.8221i | 0.947110 | + | 0.608670i | 0.920402 | − | 0.390973i | \(-0.127861\pi\) |
0.0267075 | + | 0.999643i | \(0.491498\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −6.40914 | + | 1.88189i | −0.262749 | + | 0.0771501i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −0.302003 | −0.0123602 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −14.9351 | −0.610232 | −0.305116 | − | 0.952315i | \(-0.598695\pi\) | ||||
−0.305116 | + | 0.952315i | \(0.598695\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 10.0034 | − | 2.93726i | 0.408047 | − | 0.119813i | −0.0712664 | − | 0.997457i | \(-0.522704\pi\) |
0.479313 | + | 0.877644i | \(0.340886\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 25.3444 | + | 16.2879i | 1.03211 | + | 0.663294i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 1.55436 | + | 10.8108i | 0.0631936 | + | 0.439521i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −3.51535 | + | 2.25918i | −0.142684 | + | 0.0916971i | −0.610035 | − | 0.792374i | \(-0.708845\pi\) |
0.467351 | + | 0.884072i | \(0.345208\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −0.389872 | + | 0.853700i | −0.0157984 | + | 0.0345937i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 1.27637 | − | 8.87737i | 0.0516365 | − | 0.359140i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −22.3386 | − | 6.55921i | −0.902248 | − | 0.264924i | −0.202474 | − | 0.979288i | \(-0.564898\pi\) |
−0.699775 | + | 0.714364i | \(0.746716\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 0.287269 | + | 0.331526i | 0.0115838 | + | 0.0133684i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 1.56566 | − | 1.80687i | 0.0630310 | − | 0.0727417i | −0.723358 | − | 0.690473i | \(-0.757403\pi\) |
0.786389 | + | 0.617731i | \(0.211948\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 16.0811 | + | 35.2128i | 0.646356 | + | 1.41532i | 0.894708 | + | 0.446652i | \(0.147384\pi\) |
−0.248352 | + | 0.968670i | \(0.579889\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0.493351 | + | 1.24807i | 0.0197975 | + | 0.0500835i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 1.26927 | + | 2.77931i | 0.0508522 | + | 0.111351i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −0.654861 | + | 0.755750i | −0.0261944 | + | 0.0302300i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 0.0344403 | + | 0.0397462i | 0.00137541 | + | 0.00158731i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 13.4715 | + | 3.95559i | 0.537144 | + | 0.157720i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −3.76199 | + | 26.1652i | −0.149763 | + | 1.04162i | 0.766844 | + | 0.641833i | \(0.221826\pi\) |
−0.916607 | + | 0.399789i | \(0.869083\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −0.184621 | + | 0.404263i | −0.00733802 | + | 0.0160680i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −0.885998 | + | 0.569396i | −0.0351597 | + | 0.0225958i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −0.536821 | − | 3.73367i | −0.0212696 | − | 0.147933i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 32.7771 | + | 21.0645i | 1.29664 | + | 0.833300i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 6.23851 | − | 1.83179i | 0.246406 | − | 0.0723514i | −0.156197 | − | 0.987726i | \(-0.549924\pi\) |
0.402603 | + | 0.915374i | \(0.368105\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −11.0497 | −0.435757 | −0.217879 | − | 0.975976i | \(-0.569914\pi\) | ||||
−0.217879 | + | 0.975976i | \(0.569914\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0.0506870 | 0.00199580 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −39.4465 | + | 11.5825i | −1.55080 | + | 0.455356i | −0.941340 | − | 0.337459i | \(-0.890432\pi\) |
−0.609461 | + | 0.792816i | \(0.708614\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 2.10724 | + | 1.35424i | 0.0827163 | + | 0.0531585i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −0.0726161 | − | 0.505056i | −0.00284605 | − | 0.0197947i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 10.1759 | − | 6.53968i | 0.398215 | − | 0.255918i | −0.326172 | − | 0.945310i | \(-0.605759\pi\) |
0.724388 | + | 0.689393i | \(0.242123\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 5.21168 | − | 11.4120i | 0.203637 | − | 0.445903i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −5.33947 | + | 37.1368i | −0.208312 | + | 1.44884i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −20.0814 | − | 5.89644i | −0.782262 | − | 0.229693i | −0.133869 | − | 0.990999i | \(-0.542740\pi\) |
−0.648392 | + | 0.761306i | \(0.724558\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 14.1761 | + | 16.3601i | 0.551387 | + | 0.636335i | 0.961206 | − | 0.275832i | \(-0.0889534\pi\) |
−0.409818 | + | 0.912167i | \(0.634408\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −0.138282 | + | 0.159586i | −0.00537043 | + | 0.00619781i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −4.99197 | − | 10.9309i | −0.193580 | − | 0.423882i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 31.5127 | − | 7.49957i | 1.22018 | − | 0.290385i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 0.499409 | + | 1.09355i | 0.0193083 | + | 0.0422792i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −0.435226 | + | 0.502277i | −0.0168017 | + | 0.0193902i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 32.9869 | + | 38.0689i | 1.27155 | + | 1.46745i | 0.816899 | + | 0.576781i | \(0.195691\pi\) |
0.454653 | + | 0.890669i | \(0.349763\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −0.268500 | − | 0.0788388i | −0.0103346 | − | 0.00303451i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 1.11800 | − | 7.77585i | 0.0429682 | − | 0.298850i | −0.956994 | − | 0.290109i | \(-0.906308\pi\) |
0.999962 | − | 0.00874126i | \(-0.00278246\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 15.8841 | − | 34.7814i | 0.609576 | − | 1.33479i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 0.350411 | − | 0.225195i | 0.0134278 | − | 0.00862950i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −2.42284 | − | 16.8513i | −0.0927076 | − | 0.644795i | −0.982199 | − | 0.187843i | \(-0.939850\pi\) |
0.889491 | − | 0.456952i | \(-0.151059\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 7.10925 | + | 4.56884i | 0.271630 | + | 0.174566i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −0.721905 | + | 0.211971i | −0.0275424 | + | 0.00808718i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 0.391905 | 0.0149304 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 20.1063 | 0.764879 | 0.382439 | − | 0.923981i | \(-0.375084\pi\) | ||||
0.382439 | + | 0.923981i | \(0.375084\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −2.39308 | + | 0.702671i | −0.0909055 | + | 0.0266923i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −11.4767 | − | 7.37563i | −0.435336 | − | 0.279774i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 3.00119 | + | 20.8737i | 0.113678 | + | 0.790649i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 0.436840 | − | 0.280740i | 0.0165228 | − | 0.0106186i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 1.77020 | − | 3.87619i | 0.0668595 | − | 0.146402i | −0.873252 | − | 0.487269i | \(-0.837993\pi\) |
0.940112 | + | 0.340867i | \(0.110721\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −3.59464 | + | 25.0013i | −0.135575 | + | 0.942942i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −0.198968 | − | 0.0584224i | −0.00749358 | − | 0.00220031i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 6.61264 | + | 7.63139i | 0.248694 | + | 0.287008i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −2.18654 | + | 2.52340i | −0.0821172 | + | 0.0947683i | −0.795321 | − | 0.606188i | \(-0.792698\pi\) |
0.713204 | + | 0.700956i | \(0.247243\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −8.02478 | − | 17.5718i | −0.300953 | − | 0.658995i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −12.2087 | + | 12.6928i | −0.457218 | + | 0.475349i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0.234175 | + | 0.512772i | 0.00875765 | + | 0.0191766i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 0.590042 | − | 0.680945i | 0.0220355 | − | 0.0254304i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 9.53735 | + | 11.0067i | 0.355683 | + | 0.410480i | 0.905189 | − | 0.425010i | \(-0.139729\pi\) |
−0.549506 | + | 0.835490i | \(0.685184\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 39.7216 | + | 11.6633i | 1.47931 | + | 0.434364i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −0.152757 | + | 1.06245i | −0.00568109 | + | 0.0395129i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −2.80587 | + | 6.14399i | −0.104207 | + | 0.228182i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 20.9525 | − | 13.4654i | 0.777087 | − | 0.499403i | −0.0909789 | − | 0.995853i | \(-0.529000\pi\) |
0.868066 | + | 0.496449i | \(0.165363\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 3.82578 | + | 26.6089i | 0.141696 | + | 0.985515i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 2.04987 | + | 1.31737i | 0.0758172 | + | 0.0487248i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −32.2166 | + | 9.45965i | −1.18995 | + | 0.349400i | −0.816001 | − | 0.578050i | \(-0.803814\pi\) |
−0.373947 | + | 0.927450i | \(0.621996\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −0.0872155 | −0.00321699 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −2.80746 | −0.103414 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 30.0785 | − | 8.83184i | 1.10645 | − | 0.324884i | 0.323041 | − | 0.946385i | \(-0.395295\pi\) |
0.783414 | + | 0.621501i | \(0.213477\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −0.319577 | − | 0.205380i | −0.0117400 | − | 0.00754481i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 1.06080 | + | 7.37806i | 0.0389171 | + | 0.270675i | 0.999984 | − | 0.00564092i | \(-0.00179557\pi\) |
−0.961067 | + | 0.276316i | \(0.910886\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −15.4223 | + | 9.91128i | −0.565028 | + | 0.363121i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −10.4988 | + | 22.9892i | −0.384131 | + | 0.841129i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −2.02317 | + | 14.0715i | −0.0739251 | + | 0.514161i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −24.1440 | − | 7.08932i | −0.881028 | − | 0.258693i | −0.190229 | − | 0.981740i | \(-0.560923\pi\) |
−0.690799 | + | 0.723047i | \(0.742741\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 0.232294 | + | 0.268081i | 0.00846525 | + | 0.00976942i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 8.79551 | − | 10.1506i | 0.320101 | − | 0.369417i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −7.65858 | − | 16.7699i | −0.278356 | − | 0.609514i | 0.717883 | − | 0.696164i | \(-0.245111\pi\) |
−0.996239 | + | 0.0866495i | \(0.972384\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −0.0507591 | − | 0.0364800i | −0.00184244 | − | 0.00132414i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −1.42209 | − | 3.11394i | −0.0515507 | − | 0.112880i | 0.882104 | − | 0.471055i | \(-0.156127\pi\) |
−0.933655 | + | 0.358174i | \(0.883399\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 6.91052 | − | 7.97517i | 0.250178 | − | 0.288721i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −4.40319 | − | 5.08156i | −0.159198 | − | 0.183724i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −17.3604 | − | 5.09747i | −0.626847 | − | 0.184059i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −6.13693 | + | 42.6833i | −0.221303 | + | 1.53920i | 0.511815 | + | 0.859096i | \(0.328973\pi\) |
−0.733118 | + | 0.680102i | \(0.761936\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0.547338 | − | 1.19850i | 0.0197119 | − | 0.0431630i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 23.3071 | − | 14.9786i | 0.838297 | − | 0.538741i | −0.0496071 | − | 0.998769i | \(-0.515797\pi\) |
0.887905 | + | 0.460028i | \(0.152161\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −0.522611 | − | 3.63484i | −0.0187727 | − | 0.130567i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 0.731716 | + | 0.470246i | 0.0262502 | + | 0.0168700i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −36.4013 | + | 10.6884i | −1.30421 | + | 0.382951i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −3.63079 | −0.129920 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −1.89011 | −0.0675472 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −1.99606 | + | 0.586097i | −0.0712426 | + | 0.0209187i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −40.1813 | − | 25.8229i | −1.43231 | − | 0.920489i | −0.999822 | − | 0.0188479i | \(-0.994000\pi\) |
−0.432486 | − | 0.901641i | \(-0.642363\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 0.0102895 | + | 0.0715654i | 0.000366318 | + | 0.00254779i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −7.86704 | + | 5.05584i | −0.279720 | + | 0.179765i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 1.99425 | − | 4.36679i | 0.0708177 | − | 0.155069i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 0.00128957 | − | 0.00896918i | 4.57365e−5 | − | 0.000318104i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 1.11687 | + | 0.327942i | 0.0395615 | + | 0.0116163i | 0.301453 | − | 0.953481i | \(-0.402528\pi\) |
−0.261892 | + | 0.965097i | \(0.584346\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −6.52822 | − | 7.53396i | −0.230952 | − | 0.266533i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −2.01410 | + | 2.32440i | −0.0711648 | + | 0.0821286i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −1.45240 | − | 3.18032i | −0.0512542 | − | 0.112231i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 8.77992 | + | 11.2653i | 0.309452 | + | 0.397050i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 0.431185 | + | 0.944163i | 0.0151784 | + | 0.0332361i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 13.8053 | − | 15.9322i | 0.485370 | − | 0.560147i | −0.459252 | − | 0.888306i | \(-0.651883\pi\) |
0.944623 | + | 0.328159i | \(0.106428\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 12.7377 | + | 14.7001i | 0.447282 | + | 0.516191i | 0.933954 | − | 0.357394i | \(-0.116335\pi\) |
−0.486672 | + | 0.873585i | \(0.661789\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −0.223914 | − | 0.0657472i | −0.00785302 | − | 0.00230586i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 1.40559 | − | 9.77606i | 0.0492355 | − | 0.342441i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −1.82101 | + | 3.98747i | −0.0637092 | + | 0.139504i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 15.1556 | − | 9.73991i | 0.529579 | − | 0.340340i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −0.389483 | − | 2.70892i | −0.0135931 | − | 0.0945418i | 0.981896 | − | 0.189423i | \(-0.0606619\pi\) |
−0.995489 | + | 0.0948816i | \(0.969753\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −18.7607 | − | 12.0568i | −0.653956 | − | 0.420272i | 0.171154 | − | 0.985244i | \(-0.445251\pi\) |
−0.825110 | + | 0.564972i | \(0.808887\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 0.0125059 | − | 0.00367206i | 0.000435400 | − | 0.000127845i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 8.80241 | 0.306090 | 0.153045 | − | 0.988219i | \(-0.451092\pi\) | ||||
0.153045 | + | 0.988219i | \(0.451092\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −1.91551 | −0.0665283 | −0.0332642 | − | 0.999447i | \(-0.510590\pi\) | ||||
−0.0332642 | + | 0.999447i | \(0.510590\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −1.08742 | + | 0.319296i | −0.0377223 | + | 0.0110763i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −3.52715 | − | 2.26676i | −0.122209 | − | 0.0785387i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 2.37490 | + | 16.5178i | 0.0821868 | + | 0.571622i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 0.864487 | − | 0.555572i | 0.0298810 | − | 0.0192034i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −8.33976 | + | 18.2615i | −0.287920 | + | 0.630458i | −0.997225 | − | 0.0744441i | \(-0.976282\pi\) |
0.709305 | + | 0.704902i | \(0.249009\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −2.36549 | + | 16.4523i | −0.0815685 | + | 0.567321i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 0.874779 | + | 0.256858i | 0.0301290 | + | 0.00884667i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 5.84671 | + | 6.74746i | 0.201133 | + | 0.232120i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −21.3007 | + | 24.5824i | −0.731902 | + | 0.844660i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 0.204793 | + | 0.448434i | 0.00702847 | + | 0.0153902i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −2.72335 | − | 29.8972i | −0.0933553 | − | 1.02486i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −5.07462 | − | 11.1119i | −0.173752 | − | 0.380463i | 0.802642 | − | 0.596461i | \(-0.203427\pi\) |
−0.976394 | + | 0.215998i | \(0.930700\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 7.92136 | − | 9.14173i | 0.270905 | − | 0.312641i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 6.38459 | + | 7.36821i | 0.218094 | + | 0.251693i | 0.854245 | − | 0.519871i | \(-0.174020\pi\) |
−0.636151 | + | 0.771564i | \(0.719475\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −26.9782 | − | 7.92152i | −0.920485 | − | 0.270279i | −0.213037 | − | 0.977044i | \(-0.568335\pi\) |
−0.707448 | + | 0.706765i | \(0.750154\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −0.185924 | + | 1.29313i | −0.00633627 | + | 0.0440698i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 2.90772 | − | 6.36703i | 0.0989801 | − | 0.216736i | −0.853664 | − | 0.520825i | \(-0.825625\pi\) |
0.952644 | + | 0.304088i | \(0.0983518\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 0.717997 | − | 0.461429i | 0.0244126 | − | 0.0156890i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −0.0794748 | − | 0.552760i | −0.00269911 | − | 0.0187727i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 1.51438 | + | 0.973234i | 0.0513719 | + | 0.0330147i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 19.4575 | − | 5.71323i | 0.659291 | − | 0.193585i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 38.4894 | 1.30267 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −2.97814 | −0.100680 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −18.3125 | + | 5.37704i | −0.618369 | + | 0.181570i | −0.575889 | − | 0.817528i | \(-0.695344\pi\) |
−0.0424800 | + | 0.999097i | \(0.513526\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 0.182417 | + | 0.117233i | 0.00615279 | + | 0.00395416i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −4.37583 | − | 30.4346i | −0.147426 | − | 1.02537i | −0.920413 | − | 0.390946i | \(-0.872148\pi\) |
0.772988 | − | 0.634421i | \(-0.218761\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −3.64108 | + | 2.33998i | −0.122532 | + | 0.0787466i | −0.600471 | − | 0.799646i | \(-0.705020\pi\) |
0.477939 | + | 0.878393i | \(0.341384\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −0.173786 | + | 0.380538i | −0.00584175 | + | 0.0127916i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 6.04515 | − | 42.0449i | 0.202976 | − | 1.41173i | −0.592414 | − | 0.805634i | \(-0.701825\pi\) |
0.795390 | − | 0.606097i | \(-0.207266\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −3.00949 | − | 0.883666i | −0.100935 | − | 0.0296372i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −1.64289 | − | 1.89600i | −0.0550389 | − | 0.0635183i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 11.7443 | − | 13.5536i | 0.393007 | − | 0.453554i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 0.796892 | + | 1.74495i | 0.0266372 | + | 0.0583272i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0.426030 | + | 0.149534i | 0.0142247 | + | 0.00499278i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −10.3037 | − | 22.5621i | −0.343649 | − | 0.752487i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 0.285265 | − | 0.329213i | 0.00950355 | − | 0.0109677i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 0.0988531 | + | 0.114083i | 0.00328963 | + | 0.00379643i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −6.01911 | − | 1.76737i | −0.200082 | − | 0.0587494i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 6.50131 | − | 45.2176i | 0.215872 | − | 1.50143i | −0.537181 | − | 0.843467i | \(-0.680511\pi\) |
0.753054 | − | 0.657959i | \(-0.228580\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −4.22249 | + | 9.24597i | −0.140051 | + | 0.306669i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −1.02386 | + | 0.657993i | −0.0339219 | + | 0.0218003i | −0.557492 | − | 0.830182i | \(-0.688236\pi\) |
0.523570 | + | 0.851983i | \(0.324600\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −0.335170 | − | 2.33116i | −0.0110925 | − | 0.0771501i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −0.0933766 | − | 0.0600095i | −0.00308694 | − | 0.00198385i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 35.8495 | − | 10.5264i | 1.18385 | − | 0.347611i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −44.0297 | −1.45241 | −0.726203 | − | 0.687480i | \(-0.758717\pi\) | ||||
−0.726203 | + | 0.687480i | \(0.758717\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 1.21428 | 0.0400117 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 25.1636 | − | 7.38871i | 0.828271 | − | 0.243202i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 5.26609 | + | 3.38431i | 0.173148 | + | 0.111275i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 5.93056 | + | 41.2479i | 0.194785 | + | 1.35476i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 14.9269 | − | 9.59293i | 0.489735 | − | 0.314734i | −0.272363 | − | 0.962194i | \(-0.587805\pi\) |
0.762099 | + | 0.647461i | \(0.224169\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 3.13337 | − | 6.86111i | 0.102692 | − | 0.224864i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 0.0849447 | − | 0.590803i | 0.00278096 | − | 0.0193420i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 0.601199 | + | 0.176528i | 0.0196613 | + | 0.00577308i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −1.42968 | − | 1.64994i | −0.0467057 | − | 0.0539013i | 0.731916 | − | 0.681395i | \(-0.238626\pi\) |
−0.778622 | + | 0.627494i | \(0.784081\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −0.0179142 | + | 0.0206741i | −0.000584609 | + | 0.000674674i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −9.96049 | − | 21.8104i | −0.324703 | − | 0.711000i | 0.674936 | − | 0.737876i | \(-0.264171\pi\) |
−0.999639 | + | 0.0268765i | \(0.991444\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 39.1483 | − | 22.3753i | 1.27484 | − | 0.728639i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −0.346203 | − | 0.758078i | −0.0112620 | − | 0.0246603i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 3.23129 | − | 3.72910i | 0.105003 | − | 0.121180i | −0.700816 | − | 0.713343i | \(-0.747180\pi\) |
0.805818 | + | 0.592163i | \(0.201726\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 16.5381 | + | 19.0860i | 0.536849 | + | 0.619557i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −0.681459 | − | 0.200094i | −0.0220978 | − | 0.00648851i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 3.31975 | − | 23.0894i | 0.107537 | − | 0.747938i | −0.862688 | − | 0.505736i | \(-0.831221\pi\) |
0.970226 | − | 0.242203i | \(-0.0778698\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −7.35889 | + | 16.1137i | −0.238128 | + | 0.521428i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 0.0740602 | − | 0.0475956i | 0.00239403 | − | 0.00153855i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 3.58172 | + | 24.9114i | 0.115660 | + | 0.804432i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −14.7344 | − | 9.46923i | −0.475304 | − | 0.305459i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −13.7305 | + | 4.03163i | −0.442458 | + | 0.129917i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 23.4351 | 0.754403 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 56.8799 | 1.82913 | 0.914566 | − | 0.404436i | \(-0.132532\pi\) | ||||
0.914566 | + | 0.404436i | \(0.132532\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −0.405143 | + | 0.118961i | −0.0130151 | + | 0.00382157i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −46.9482 | − | 30.1717i | −1.50664 | − | 0.968257i | −0.993968 | − | 0.109672i | \(-0.965020\pi\) |
−0.512670 | − | 0.858586i | \(-0.671344\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −5.78210 | − | 40.2154i | −0.185366 | − | 1.28925i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −0.0792011 | + | 0.0508994i | −0.00253646 | + | 0.00163009i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −1.36909 | + | 2.99790i | −0.0438012 | + | 0.0959112i | −0.930268 | − | 0.366882i | \(-0.880425\pi\) |
0.886466 | + | 0.462793i | \(0.153153\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 0.0407888 | − | 0.283692i | 0.00130361 | − | 0.00906684i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 10.1921 | + | 2.99268i | 0.325409 | + | 0.0955488i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −38.5232 | − | 44.4582i | −1.22870 | − | 1.41800i | −0.876035 | − | 0.482247i | \(-0.839821\pi\) |
−0.352665 | − | 0.935750i | \(-0.614725\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −8.67067 | + | 10.0065i | −0.276271 | + | 0.318833i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −0.256549 | − | 0.561763i | −0.00816603 | − | 0.0178811i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 1.00832 | − | 5.11165i | 0.0320629 | − | 0.162541i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −0.425967 | − | 0.932737i | −0.0135313 | − | 0.0296294i | 0.902746 | − | 0.430175i | \(-0.141548\pi\) |
−0.916277 | + | 0.400545i | \(0.868821\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 0.435440 | − | 0.502524i | 0.0138183 | − | 0.0159471i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −4.23887 | − | 4.89192i | −0.134381 | − | 0.155084i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 38.2928 | + | 11.2438i | 1.21275 | + | 0.356094i | 0.824713 | − | 0.565551i | \(-0.191336\pi\) |
0.388033 | + | 0.921645i | \(0.373155\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −0.249296 | + | 1.73389i | −0.00788736 | + | 0.0548578i |
(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 | 460.2.m.a.441.2 | yes | 30 | |
23.6 | even | 11 | inner | 460.2.m.a.121.2 | ✓ | 30 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
460.2.m.a.121.2 | ✓ | 30 | 23.6 | even | 11 | inner | |
460.2.m.a.441.2 | yes | 30 | 1.1 | even | 1 | trivial |