Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [720,2,Mod(179,720)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(720, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 3, 2, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("720.179");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 720 = 2^{4} \cdot 3^{2} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 720.u (of order \(4\), degree \(2\), 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: | \(5.74922894553\) |
Analytic rank: | \(0\) |
Dimension: | \(96\) |
Relative dimension: | \(48\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 539.5 | ||
Character | \(\chi\) | \(=\) | 720.539 |
Dual form | 720.2.u.a.179.5 |
$q$-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 \(\left(\mathbb{Z}/720\mathbb{Z}\right)^\times\).
\(n\) | \(181\) | \(271\) | \(577\) | \(641\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.31018 | + | 0.532382i | −0.926437 | + | 0.376451i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.43314 | − | 1.39503i | 0.716570 | − | 0.697516i | ||||
\(5\) | −1.50698 | + | 1.65197i | −0.673944 | + | 0.738783i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 4.30751i | 1.62809i | 0.580804 | + | 0.814044i | \(0.302738\pi\) | ||||
−0.580804 | + | 0.814044i | \(0.697262\pi\) | |||||||
\(8\) | −1.13498 | + | 2.59072i | −0.401276 | + | 0.915957i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 1.09494 | − | 2.96667i | 0.346251 | − | 0.938142i | ||||
\(11\) | −4.26649 | − | 4.26649i | −1.28640 | − | 1.28640i | −0.936961 | − | 0.349435i | \(-0.886374\pi\) |
−0.349435 | − | 0.936961i | \(-0.613626\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −2.10930 | − | 2.10930i | −0.585015 | − | 0.585015i | 0.351262 | − | 0.936277i | \(-0.385753\pi\) |
−0.936277 | + | 0.351262i | \(0.885753\pi\) | |||||||
\(14\) | −2.29324 | − | 5.64362i | −0.612895 | − | 1.50832i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.107775 | − | 3.99855i | 0.0269438 | − | 0.999637i | ||||
\(17\) | −3.59142 | −0.871048 | −0.435524 | − | 0.900177i | \(-0.643437\pi\) | ||||
−0.435524 | + | 0.900177i | \(0.643437\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.954870 | + | 0.954870i | 0.219062 | + | 0.219062i | 0.808103 | − | 0.589041i | \(-0.200494\pi\) |
−0.589041 | + | 0.808103i | \(0.700494\pi\) | |||||||
\(20\) | 0.144830 | + | 4.46979i | 0.0323850 | + | 0.999475i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 7.86127 | + | 3.31847i | 1.67603 | + | 0.707499i | ||||
\(23\) | 6.53188 | 1.36199 | 0.680996 | − | 0.732287i | \(-0.261547\pi\) | ||||
0.680996 | + | 0.732287i | \(0.261547\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.457999 | − | 4.97898i | −0.0915997 | − | 0.995796i | ||||
\(26\) | 3.88652 | + | 1.64061i | 0.762209 | + | 0.321750i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 6.00912 | + | 6.17327i | 1.13562 | + | 1.16664i | ||||
\(29\) | 1.84857 | + | 1.84857i | 0.343270 | + | 0.343270i | 0.857595 | − | 0.514325i | \(-0.171958\pi\) |
−0.514325 | + | 0.857595i | \(0.671958\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | − | 7.64329i | − | 1.37278i | −0.727236 | − | 0.686388i | \(-0.759195\pi\) | ||
0.727236 | − | 0.686388i | \(-0.240805\pi\) | |||||||
\(32\) | 1.98755 | + | 5.29619i | 0.351352 | + | 0.936243i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 4.70541 | − | 1.91201i | 0.806970 | − | 0.327907i | ||||
\(35\) | −7.11588 | − | 6.49135i | −1.20280 | − | 1.09724i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −1.90965 | + | 1.90965i | −0.313945 | + | 0.313945i | −0.846436 | − | 0.532491i | \(-0.821256\pi\) |
0.532491 | + | 0.846436i | \(0.321256\pi\) | |||||||
\(38\) | −1.75941 | − | 0.742695i | −0.285413 | − | 0.120481i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −2.56939 | − | 5.77912i | −0.406256 | − | 0.913759i | ||||
\(41\) | 7.67058 | 1.19794 | 0.598972 | − | 0.800770i | \(-0.295576\pi\) | ||||
0.598972 | + | 0.800770i | \(0.295576\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −5.43308 | − | 5.43308i | −0.828537 | − | 0.828537i | 0.158777 | − | 0.987314i | \(-0.449245\pi\) |
−0.987314 | + | 0.158777i | \(0.949245\pi\) | |||||||
\(44\) | −12.0664 | − | 0.162586i | −1.81907 | − | 0.0245108i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −8.55794 | + | 3.47746i | −1.26180 | + | 0.512723i | ||||
\(47\) | − | 3.24864i | − | 0.473863i | −0.971526 | − | 0.236932i | \(-0.923858\pi\) | ||
0.971526 | − | 0.236932i | \(-0.0761417\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −11.5547 | −1.65067 | ||||||||
\(50\) | 3.25078 | + | 6.27953i | 0.459730 | + | 0.888059i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −5.96546 | − | 0.0803806i | −0.827261 | − | 0.0111468i | ||||
\(53\) | −6.08323 | − | 6.08323i | −0.835596 | − | 0.835596i | 0.152680 | − | 0.988276i | \(-0.451210\pi\) |
−0.988276 | + | 0.152680i | \(0.951210\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 13.4776 | − | 0.618574i | 1.81732 | − | 0.0834085i | ||||
\(56\) | −11.1596 | − | 4.88894i | −1.49126 | − | 0.653312i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −3.40610 | − | 1.43781i | −0.447243 | − | 0.188794i | ||||
\(59\) | −2.97848 | − | 2.97848i | −0.387765 | − | 0.387765i | 0.486125 | − | 0.873889i | \(-0.338410\pi\) |
−0.873889 | + | 0.486125i | \(0.838410\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −0.157020 | + | 0.157020i | −0.0201044 | + | 0.0201044i | −0.717088 | − | 0.696983i | \(-0.754525\pi\) |
0.696983 | + | 0.717088i | \(0.254525\pi\) | |||||||
\(62\) | 4.06915 | + | 10.0141i | 0.516782 | + | 1.27179i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −5.42364 | − | 5.88082i | −0.677955 | − | 0.735103i | ||||
\(65\) | 6.66318 | − | 0.305816i | 0.826466 | − | 0.0379318i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −0.305394 | + | 0.305394i | −0.0373098 | + | 0.0373098i | −0.725516 | − | 0.688206i | \(-0.758399\pi\) |
0.688206 | + | 0.725516i | \(0.258399\pi\) | |||||||
\(68\) | −5.14701 | + | 5.01014i | −0.624166 | + | 0.607569i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 12.7790 | + | 4.71647i | 1.52738 | + | 0.563726i | ||||
\(71\) | 1.61808i | 0.192030i | 0.995380 | + | 0.0960152i | \(0.0306097\pi\) | ||||
−0.995380 | + | 0.0960152i | \(0.969390\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −6.90696 | −0.808399 | −0.404199 | − | 0.914671i | \(-0.632450\pi\) | ||||
−0.404199 | + | 0.914671i | \(0.632450\pi\) | |||||||
\(74\) | 1.48532 | − | 3.51865i | 0.172665 | − | 0.409035i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 2.70053 | + | 0.0363879i | 0.309773 | + | 0.00417398i | ||||
\(77\) | 18.3780 | − | 18.3780i | 2.09436 | − | 2.09436i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 5.39306i | 0.606767i | 0.952869 | + | 0.303383i | \(0.0981163\pi\) | ||||
−0.952869 | + | 0.303383i | \(0.901884\pi\) | |||||||
\(80\) | 6.44306 | + | 6.20379i | 0.720356 | + | 0.693605i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −10.0498 | + | 4.08368i | −1.10982 | + | 0.450967i | ||||
\(83\) | −5.82210 | − | 5.82210i | −0.639059 | − | 0.639059i | 0.311265 | − | 0.950323i | \(-0.399247\pi\) |
−0.950323 | + | 0.311265i | \(0.899247\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 5.41221 | − | 5.93291i | 0.587037 | − | 0.643515i | ||||
\(86\) | 10.0108 | + | 4.22584i | 1.07949 | + | 0.455684i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 15.8957 | − | 6.21090i | 1.69448 | − | 0.662084i | ||||
\(89\) | −7.74878 | −0.821369 | −0.410684 | − | 0.911778i | \(-0.634710\pi\) | ||||
−0.410684 | + | 0.911778i | \(0.634710\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 9.08585 | − | 9.08585i | 0.952455 | − | 0.952455i | ||||
\(92\) | 9.36110 | − | 9.11218i | 0.975962 | − | 0.950011i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 1.72952 | + | 4.25630i | 0.178386 | + | 0.439004i | ||||
\(95\) | −3.01639 | + | 0.138441i | −0.309475 | + | 0.0142038i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 9.34141i | 0.948476i | 0.880397 | + | 0.474238i | \(0.157276\pi\) | ||||
−0.880397 | + | 0.474238i | \(0.842724\pi\) | |||||||
\(98\) | 15.1387 | − | 6.15150i | 1.52924 | − | 0.621396i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −7.60221 | − | 6.49665i | −0.760221 | − | 0.649665i | ||||
\(101\) | −7.91178 | + | 7.91178i | −0.787251 | + | 0.787251i | −0.981043 | − | 0.193792i | \(-0.937921\pi\) |
0.193792 | + | 0.981043i | \(0.437921\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | − | 16.1744i | − | 1.59371i | −0.604172 | − | 0.796854i | \(-0.706496\pi\) | ||
0.604172 | − | 0.796854i | \(-0.293504\pi\) | |||||||
\(104\) | 7.85862 | − | 3.07059i | 0.770601 | − | 0.301096i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 11.2087 | + | 4.73152i | 1.08869 | + | 0.459566i | ||||
\(107\) | 5.26603 | − | 5.26603i | 0.509086 | − | 0.509086i | −0.405160 | − | 0.914246i | \(-0.632784\pi\) |
0.914246 | + | 0.405160i | \(0.132784\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −11.9434 | + | 11.9434i | −1.14397 | + | 1.14397i | −0.156248 | + | 0.987718i | \(0.549940\pi\) |
−0.987718 | + | 0.156248i | \(0.950060\pi\) | |||||||
\(110\) | −17.3288 | + | 7.98570i | −1.65224 | + | 0.761406i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 17.2238 | + | 0.464243i | 1.62750 | + | 0.0438668i | ||||
\(113\) | −18.0886 | −1.70163 | −0.850815 | − | 0.525466i | \(-0.823891\pi\) | ||||
−0.850815 | + | 0.525466i | \(0.823891\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −9.84344 | + | 10.7905i | −0.917906 | + | 1.00622i | ||||
\(116\) | 5.22806 | + | 0.0704446i | 0.485413 | + | 0.00654062i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 5.48802 | + | 2.31665i | 0.505214 | + | 0.213265i | ||||
\(119\) | − | 15.4701i | − | 1.41814i | ||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 25.4059i | 2.30963i | ||||||||
\(122\) | 0.122130 | − | 0.289319i | 0.0110571 | − | 0.0261937i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −10.6626 | − | 10.9539i | −0.957532 | − | 0.983689i | ||||
\(125\) | 8.91531 | + | 6.74664i | 0.797410 | + | 0.603438i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −7.28333 | −0.646291 | −0.323145 | − | 0.946349i | \(-0.604740\pi\) | ||||
−0.323145 | + | 0.946349i | \(0.604740\pi\) | |||||||
\(128\) | 10.2368 | + | 4.81748i | 0.904813 | + | 0.425810i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −8.56715 | + | 3.94803i | −0.751389 | + | 0.346265i | ||||
\(131\) | 9.89718 | − | 9.89718i | 0.864721 | − | 0.864721i | −0.127161 | − | 0.991882i | \(-0.540587\pi\) |
0.991882 | + | 0.127161i | \(0.0405865\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −4.11312 | + | 4.11312i | −0.356652 | + | 0.356652i | ||||
\(134\) | 0.237535 | − | 0.562707i | 0.0205199 | − | 0.0486105i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 4.07619 | − | 9.30436i | 0.349530 | − | 0.797842i | ||||
\(137\) | 17.7974i | 1.52054i | 0.649608 | + | 0.760269i | \(0.274933\pi\) | ||||
−0.649608 | + | 0.760269i | \(0.725067\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 4.98268 | − | 4.98268i | 0.422625 | − | 0.422625i | −0.463481 | − | 0.886107i | \(-0.653400\pi\) |
0.886107 | + | 0.463481i | \(0.153400\pi\) | |||||||
\(140\) | −19.2537 | + | 0.623857i | −1.62723 | + | 0.0527256i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −0.861435 | − | 2.11997i | −0.0722900 | − | 0.177904i | ||||
\(143\) | 17.9986i | 1.50512i | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −5.83953 | + | 0.268013i | −0.484947 | + | 0.0222573i | ||||
\(146\) | 9.04936 | − | 3.67714i | 0.748930 | − | 0.304322i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −0.0727725 | + | 5.40082i | −0.00598186 | + | 0.443945i | ||||
\(149\) | 9.78188 | − | 9.78188i | 0.801363 | − | 0.801363i | −0.181946 | − | 0.983309i | \(-0.558240\pi\) |
0.983309 | + | 0.181946i | \(0.0582395\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −12.0108 | −0.977422 | −0.488711 | − | 0.872446i | \(-0.662533\pi\) | ||||
−0.488711 | + | 0.872446i | \(0.662533\pi\) | |||||||
\(152\) | −3.55756 | + | 1.39004i | −0.288556 | + | 0.112747i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −14.2943 | + | 33.8625i | −1.15187 | + | 2.72872i | ||||
\(155\) | 12.6265 | + | 11.5183i | 1.01418 | + | 0.925173i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −8.81467 | − | 8.81467i | −0.703488 | − | 0.703488i | 0.261670 | − | 0.965157i | \(-0.415727\pi\) |
−0.965157 | + | 0.261670i | \(0.915727\pi\) | |||||||
\(158\) | −2.87117 | − | 7.06588i | −0.228418 | − | 0.562131i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −11.7443 | − | 4.69791i | −0.928472 | − | 0.371402i | ||||
\(161\) | 28.1362i | 2.21744i | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −8.90000 | + | 8.90000i | −0.697102 | + | 0.697102i | −0.963784 | − | 0.266682i | \(-0.914073\pi\) |
0.266682 | + | 0.963784i | \(0.414073\pi\) | |||||||
\(164\) | 10.9930 | − | 10.7007i | 0.858410 | − | 0.835584i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 10.7276 | + | 4.52841i | 0.832621 | + | 0.351473i | ||||
\(167\) | 4.24306 | 0.328338 | 0.164169 | − | 0.986432i | \(-0.447506\pi\) | ||||
0.164169 | + | 0.986432i | \(0.447506\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | − | 4.10170i | − | 0.315515i | ||||||
\(170\) | −3.93239 | + | 10.6545i | −0.301601 | + | 0.817166i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −15.3657 | − | 0.207042i | −1.17162 | − | 0.0157868i | ||||
\(173\) | −4.03165 | + | 4.03165i | −0.306521 | + | 0.306521i | −0.843558 | − | 0.537037i | \(-0.819543\pi\) |
0.537037 | + | 0.843558i | \(0.319543\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 21.4470 | − | 1.97284i | 1.62124 | − | 0.149132i | ||||
\(176\) | −17.5196 | + | 16.5999i | −1.32059 | + | 1.25127i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 10.1523 | − | 4.12531i | 0.760946 | − | 0.309205i | ||||
\(179\) | 0.833880 | − | 0.833880i | 0.0623272 | − | 0.0623272i | −0.675256 | − | 0.737583i | \(-0.735967\pi\) |
0.737583 | + | 0.675256i | \(0.235967\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −10.5947 | − | 10.5947i | −0.787501 | − | 0.787501i | 0.193583 | − | 0.981084i | \(-0.437989\pi\) |
−0.981084 | + | 0.193583i | \(0.937989\pi\) | |||||||
\(182\) | −7.06695 | + | 16.7412i | −0.523837 | + | 1.24094i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −7.41355 | + | 16.9223i | −0.546534 | + | 1.24753i | ||||
\(185\) | −0.276870 | − | 6.03250i | −0.0203559 | − | 0.443518i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 15.3228 | + | 15.3228i | 1.12051 | + | 1.12051i | ||||
\(188\) | −4.53196 | − | 4.65575i | −0.330527 | − | 0.339556i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 3.87831 | − | 1.78725i | 0.281362 | − | 0.129661i | ||||
\(191\) | 3.83158 | 0.277244 | 0.138622 | − | 0.990345i | \(-0.455733\pi\) | ||||
0.138622 | + | 0.990345i | \(0.455733\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 5.03272i | 0.362263i | 0.983459 | + | 0.181132i | \(0.0579760\pi\) | ||||
−0.983459 | + | 0.181132i | \(0.942024\pi\) | |||||||
\(194\) | −4.97320 | − | 12.2389i | −0.357055 | − | 0.878703i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −16.5595 | + | 16.1191i | −1.18282 | + | 1.15137i | ||||
\(197\) | 7.01759 | + | 7.01759i | 0.499982 | + | 0.499982i | 0.911432 | − | 0.411450i | \(-0.134978\pi\) |
−0.411450 | + | 0.911432i | \(0.634978\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 13.7542 | 0.975009 | 0.487504 | − | 0.873121i | \(-0.337907\pi\) | ||||
0.487504 | + | 0.873121i | \(0.337907\pi\) | |||||||
\(200\) | 13.4190 | + | 4.46449i | 0.948863 | + | 0.315687i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 6.15376 | − | 14.5779i | 0.432977 | − | 1.02570i | ||||
\(203\) | −7.96273 | + | 7.96273i | −0.558874 | + | 0.558874i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −11.5594 | + | 12.6716i | −0.807346 | + | 0.885020i | ||||
\(206\) | 8.61094 | + | 21.1913i | 0.599953 | + | 1.47647i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −8.66147 | + | 8.20681i | −0.600565 | + | 0.569040i | ||||
\(209\) | − | 8.14789i | − | 0.563601i | ||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 12.8000 | + | 12.8000i | 0.881190 | + | 0.881190i | 0.993656 | − | 0.112466i | \(-0.0358748\pi\) |
−0.112466 | + | 0.993656i | \(0.535875\pi\) | |||||||
\(212\) | −17.2044 | − | 0.231818i | −1.18160 | − | 0.0159213i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −4.09590 | + | 9.70298i | −0.279990 | + | 0.663282i | ||||
\(215\) | 17.1628 | − | 0.787712i | 1.17050 | − | 0.0537215i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 32.9236 | 2.23500 | ||||||||
\(218\) | 9.28951 | − | 22.0064i | 0.629165 | − | 1.49046i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 18.4524 | − | 19.6882i | 1.24406 | − | 1.32738i | ||||
\(221\) | 7.57539 | + | 7.57539i | 0.509576 | + | 0.509576i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 12.7040 | 0.850723 | 0.425362 | − | 0.905023i | \(-0.360147\pi\) | ||||
0.425362 | + | 0.905023i | \(0.360147\pi\) | |||||||
\(224\) | −22.8134 | + | 8.56140i | −1.52429 | + | 0.572033i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 23.6993 | − | 9.63002i | 1.57645 | − | 0.640580i | ||||
\(227\) | −13.3440 | − | 13.3440i | −0.885675 | − | 0.885675i | 0.108429 | − | 0.994104i | \(-0.465418\pi\) |
−0.994104 | + | 0.108429i | \(0.965418\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −1.09552 | − | 1.09552i | −0.0723941 | − | 0.0723941i | 0.669983 | − | 0.742377i | \(-0.266302\pi\) |
−0.742377 | + | 0.669983i | \(0.766302\pi\) | |||||||
\(230\) | 7.15203 | − | 19.3779i | 0.471591 | − | 1.27774i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −6.88720 | + | 2.69103i | −0.452167 | + | 0.176675i | ||||
\(233\) | 17.1156i | 1.12128i | 0.828060 | + | 0.560640i | \(0.189445\pi\) | ||||
−0.828060 | + | 0.560640i | \(0.810555\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 5.36665 | + | 4.89565i | 0.350082 | + | 0.319357i | ||||
\(236\) | −8.42364 | − | 0.113503i | −0.548332 | − | 0.00738841i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 8.23600 | + | 20.2686i | 0.533861 | + | 1.31382i | ||||
\(239\) | −17.8555 | −1.15498 | −0.577488 | − | 0.816399i | \(-0.695967\pi\) | ||||
−0.577488 | + | 0.816399i | \(0.695967\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 5.11525 | 0.329502 | 0.164751 | − | 0.986335i | \(-0.447318\pi\) | ||||
0.164751 | + | 0.986335i | \(0.447318\pi\) | |||||||
\(242\) | −13.5256 | − | 33.2863i | −0.869461 | − | 2.13972i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −0.00598368 | + | 0.444080i | −0.000383066 | + | 0.0284293i | ||||
\(245\) | 17.4127 | − | 19.0880i | 1.11246 | − | 1.21949i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | − | 4.02822i | − | 0.256309i | ||||||
\(248\) | 19.8016 | + | 8.67498i | 1.25740 | + | 0.550862i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −15.2724 | − | 4.09296i | −0.965914 | − | 0.258862i | ||||
\(251\) | −4.02622 | − | 4.02622i | −0.254133 | − | 0.254133i | 0.568530 | − | 0.822663i | \(-0.307512\pi\) |
−0.822663 | + | 0.568530i | \(0.807512\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −27.8682 | − | 27.8682i | −1.75206 | − | 1.75206i | ||||
\(254\) | 9.54246 | − | 3.87751i | 0.598747 | − | 0.243297i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −15.9768 | − | 0.861887i | −0.998548 | − | 0.0538680i | ||||
\(257\) | −29.1773 | −1.82003 | −0.910016 | − | 0.414573i | \(-0.863931\pi\) | ||||
−0.910016 | + | 0.414573i | \(0.863931\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −8.22585 | − | 8.22585i | −0.511130 | − | 0.511130i | ||||
\(260\) | 9.12264 | − | 9.73362i | 0.565762 | − | 0.603654i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −7.69800 | + | 18.2362i | −0.475584 | + | 1.12663i | ||||
\(263\) | 1.92706 | 0.118828 | 0.0594139 | − | 0.998233i | \(-0.481077\pi\) | ||||
0.0594139 | + | 0.998233i | \(0.481077\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 19.2166 | − | 0.881973i | 1.18047 | − | 0.0541792i | ||||
\(266\) | 3.19917 | − | 7.57867i | 0.196154 | − | 0.464678i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −0.0116379 | + | 0.863706i | −0.000710895 | + | 0.0527592i | ||||
\(269\) | −9.93701 | − | 9.93701i | −0.605870 | − | 0.605870i | 0.335994 | − | 0.941864i | \(-0.390928\pi\) |
−0.941864 | + | 0.335994i | \(0.890928\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 15.0777i | 0.915907i | 0.888976 | + | 0.457954i | \(0.151417\pi\) | ||||
−0.888976 | + | 0.457954i | \(0.848583\pi\) | |||||||
\(272\) | −0.387066 | + | 14.3605i | −0.0234693 | + | 0.870731i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −9.47504 | − | 23.3178i | −0.572408 | − | 1.40868i | ||||
\(275\) | −19.2887 | + | 23.1968i | −1.16315 | + | 1.39882i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −4.33837 | + | 4.33837i | −0.260667 | + | 0.260667i | −0.825325 | − | 0.564658i | \(-0.809008\pi\) |
0.564658 | + | 0.825325i | \(0.309008\pi\) | |||||||
\(278\) | −3.87551 | + | 9.18089i | −0.232438 | + | 0.550633i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 24.8936 | − | 11.0677i | 1.48768 | − | 0.661420i | ||||
\(281\) | −2.93138 | −0.174871 | −0.0874357 | − | 0.996170i | \(-0.527867\pi\) | ||||
−0.0874357 | + | 0.996170i | \(0.527867\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −12.3064 | − | 12.3064i | −0.731542 | − | 0.731542i | 0.239383 | − | 0.970925i | \(-0.423055\pi\) |
−0.970925 | + | 0.239383i | \(0.923055\pi\) | |||||||
\(284\) | 2.25727 | + | 2.31893i | 0.133944 | + | 0.137603i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −9.58215 | − | 23.5814i | −0.566604 | − | 1.39440i | ||||
\(287\) | 33.0411i | 1.95036i | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −4.10170 | −0.241276 | ||||||||
\(290\) | 7.50815 | − | 3.46001i | 0.440894 | − | 0.203179i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −9.89863 | + | 9.63543i | −0.579274 | + | 0.563871i | ||||
\(293\) | 15.2191 | + | 15.2191i | 0.889109 | + | 0.889109i | 0.994437 | − | 0.105328i | \(-0.0335894\pi\) |
−0.105328 | + | 0.994437i | \(0.533589\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 9.40886 | − | 0.431832i | 0.547805 | − | 0.0251422i | ||||
\(296\) | −2.77996 | − | 7.11479i | −0.161582 | − | 0.413539i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −7.60832 | + | 18.0237i | −0.440738 | + | 1.04409i | ||||
\(299\) | −13.7777 | − | 13.7777i | −0.796786 | − | 0.796786i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 23.4031 | − | 23.4031i | 1.34893 | − | 1.34893i | ||||
\(302\) | 15.7363 | − | 6.39432i | 0.905520 | − | 0.367952i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 3.92100 | − | 3.71518i | 0.224885 | − | 0.213080i | ||||
\(305\) | −0.0227655 | − | 0.496019i | −0.00130355 | − | 0.0284020i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 3.79402 | − | 3.79402i | 0.216536 | − | 0.216536i | −0.590501 | − | 0.807037i | \(-0.701070\pi\) |
0.807037 | + | 0.590501i | \(0.201070\pi\) | |||||||
\(308\) | 0.700342 | − | 51.9760i | 0.0399057 | − | 2.96161i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −22.6751 | − | 8.36895i | −1.28786 | − | 0.475325i | ||||
\(311\) | − | 18.1916i | − | 1.03155i | −0.856724 | − | 0.515775i | \(-0.827504\pi\) | ||
0.856724 | − | 0.515775i | \(-0.172496\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 16.7785 | 0.948377 | 0.474188 | − | 0.880423i | \(-0.342742\pi\) | ||||
0.474188 | + | 0.880423i | \(0.342742\pi\) | |||||||
\(314\) | 16.2416 | + | 6.85603i | 0.916565 | + | 0.386908i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 7.52349 | + | 7.72901i | 0.423229 | + | 0.434791i | ||||
\(317\) | −0.103425 | + | 0.103425i | −0.00580894 | + | 0.00580894i | −0.710005 | − | 0.704196i | \(-0.751307\pi\) |
0.704196 | + | 0.710005i | \(0.251307\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | − | 15.7738i | − | 0.883163i | ||||||
\(320\) | 17.8883 | − | 0.0973777i | 0.999985 | − | 0.00544358i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −14.9792 | − | 36.8634i | −0.834758 | − | 2.05432i | ||||
\(323\) | −3.42934 | − | 3.42934i | −0.190814 | − | 0.190814i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −9.53611 | + | 11.4682i | −0.528968 | + | 0.636143i | ||||
\(326\) | 6.92240 | − | 16.3988i | 0.383396 | − | 0.908246i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −8.70595 | + | 19.8723i | −0.480706 | + | 1.09726i | ||||
\(329\) | 13.9936 | 0.771490 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 2.18428 | − | 2.18428i | 0.120059 | − | 0.120059i | −0.644525 | − | 0.764583i | \(-0.722945\pi\) |
0.764583 | + | 0.644525i | \(0.222945\pi\) | |||||||
\(332\) | −16.4659 | − | 0.221867i | −0.903683 | − | 0.0121765i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −5.55917 | + | 2.25893i | −0.304184 | + | 0.123603i | ||||
\(335\) | −0.0442773 | − | 0.964725i | −0.00241913 | − | 0.0527085i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | − | 20.9206i | − | 1.13962i | −0.821778 | − | 0.569808i | \(-0.807018\pi\) | ||
0.821778 | − | 0.569808i | \(-0.192982\pi\) | |||||||
\(338\) | 2.18367 | + | 5.37396i | 0.118776 | + | 0.292305i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −0.520145 | − | 16.0529i | −0.0282088 | − | 0.870591i | ||||
\(341\) | −32.6100 | + | 32.6100i | −1.76593 | + | 1.76593i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | − | 19.6193i | − | 1.05934i | ||||||
\(344\) | 20.2420 | − | 7.90915i | 1.09138 | − | 0.426433i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 3.13581 | − | 7.42857i | 0.168582 | − | 0.399362i | ||||
\(347\) | 4.34853 | − | 4.34853i | 0.233441 | − | 0.233441i | −0.580686 | − | 0.814127i | \(-0.697216\pi\) |
0.814127 | + | 0.580686i | \(0.197216\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 3.70979 | − | 3.70979i | 0.198580 | − | 0.198580i | −0.600811 | − | 0.799391i | \(-0.705155\pi\) |
0.799391 | + | 0.600811i | \(0.205155\pi\) | |||||||
\(350\) | −27.0491 | + | 14.0028i | −1.44584 | + | 0.748480i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 14.1163 | − | 31.0760i | 0.752401 | − | 1.65636i | ||||
\(353\) | 16.3398 | 0.869681 | 0.434840 | − | 0.900508i | \(-0.356805\pi\) | ||||
0.434840 | + | 0.900508i | \(0.356805\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −2.67301 | − | 2.43842i | −0.141869 | − | 0.129418i | ||||
\(356\) | −11.1051 | + | 10.8098i | −0.588568 | + | 0.572917i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −0.648590 | + | 1.53648i | −0.0342790 | + | 0.0812053i | ||||
\(359\) | 24.6929i | 1.30324i | 0.758545 | + | 0.651621i | \(0.225911\pi\) | ||||
−0.758545 | + | 0.651621i | \(0.774089\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | − | 17.1764i | − | 0.904024i | ||||||
\(362\) | 19.5215 | + | 8.24056i | 1.02603 | + | 0.433114i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0.346241 | − | 25.6963i | 0.0181479 | − | 1.34685i | ||||
\(365\) | 10.4087 | − | 11.4101i | 0.544815 | − | 0.597231i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 6.68177 | 0.348786 | 0.174393 | − | 0.984676i | \(-0.444204\pi\) | ||||
0.174393 | + | 0.984676i | \(0.444204\pi\) | |||||||
\(368\) | 0.703974 | − | 26.1180i | 0.0366972 | − | 1.36150i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 3.57434 | + | 7.75626i | 0.185821 | + | 0.403229i | ||||
\(371\) | 26.2036 | − | 26.2036i | 1.36042 | − | 1.36042i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 18.9638 | − | 18.9638i | 0.981911 | − | 0.981911i | −0.0179284 | − | 0.999839i | \(-0.505707\pi\) |
0.999839 | + | 0.0179284i | \(0.00570709\pi\) | |||||||
\(374\) | −28.2331 | − | 11.9180i | −1.45990 | − | 0.616265i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 8.41631 | + | 3.68714i | 0.434038 | + | 0.190150i | ||||
\(377\) | − | 7.79837i | − | 0.401636i | ||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −17.4207 | + | 17.4207i | −0.894843 | + | 0.894843i | −0.994974 | − | 0.100131i | \(-0.968074\pi\) |
0.100131 | + | 0.994974i | \(0.468074\pi\) | |||||||
\(380\) | −4.12977 | + | 4.40636i | −0.211853 | + | 0.226042i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −5.02006 | + | 2.03986i | −0.256849 | + | 0.104369i | ||||
\(383\) | 10.4542i | 0.534182i | 0.963671 | + | 0.267091i | \(0.0860625\pi\) | ||||
−0.963671 | + | 0.267091i | \(0.913938\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 2.66452 | + | 58.0551i | 0.135796 | + | 2.95876i | ||||
\(386\) | −2.67933 | − | 6.59376i | −0.136374 | − | 0.335614i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 13.0316 | + | 13.3875i | 0.661577 | + | 0.679649i | ||||
\(389\) | −6.71454 | + | 6.71454i | −0.340441 | + | 0.340441i | −0.856533 | − | 0.516092i | \(-0.827386\pi\) |
0.516092 | + | 0.856533i | \(0.327386\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −23.4587 | −1.18636 | ||||||||
\(392\) | 13.1143 | − | 29.9349i | 0.662373 | − | 1.51194i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −12.9303 | − | 5.45826i | −0.651421 | − | 0.274983i | ||||
\(395\) | −8.90917 | − | 8.12726i | −0.448269 | − | 0.408927i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 25.8345 | + | 25.8345i | 1.29660 | + | 1.29660i | 0.930628 | + | 0.365968i | \(0.119262\pi\) |
0.365968 | + | 0.930628i | \(0.380738\pi\) | |||||||
\(398\) | −18.0205 | + | 7.32248i | −0.903284 | + | 0.367043i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −19.9580 | + | 1.29472i | −0.997902 | + | 0.0647360i | ||||
\(401\) | − | 18.5375i | − | 0.925717i | −0.886432 | − | 0.462858i | \(-0.846824\pi\) | ||
0.886432 | − | 0.462858i | \(-0.153176\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −16.1220 | + | 16.1220i | −0.803094 | + | 0.803094i | ||||
\(404\) | −0.301500 | + | 22.3759i | −0.0150002 | + | 1.11324i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 6.19339 | − | 14.6718i | 0.307373 | − | 0.728150i | ||||
\(407\) | 16.2950 | 0.807715 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | − | 6.45252i | − | 0.319057i | −0.987193 | − | 0.159528i | \(-0.949003\pi\) | ||
0.987193 | − | 0.159528i | \(-0.0509973\pi\) | |||||||
\(410\) | 8.39883 | − | 22.7560i | 0.414789 | − | 1.12384i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −22.5638 | − | 23.1801i | −1.11164 | − | 1.14200i | ||||
\(413\) | 12.8298 | − | 12.8298i | 0.631315 | − | 0.631315i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 18.3917 | − | 0.844113i | 0.902815 | − | 0.0414359i | ||||
\(416\) | 6.97892 | − | 15.3636i | 0.342170 | − | 0.753263i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 4.33779 | + | 10.6752i | 0.212168 | + | 0.522141i | ||||
\(419\) | −12.0000 | + | 12.0000i | −0.586236 | + | 0.586236i | −0.936610 | − | 0.350374i | \(-0.886055\pi\) |
0.350374 | + | 0.936610i | \(0.386055\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 23.9012 | + | 23.9012i | 1.16487 | + | 1.16487i | 0.983395 | + | 0.181478i | \(0.0580882\pi\) |
0.181478 | + | 0.983395i | \(0.441912\pi\) | |||||||
\(422\) | −23.5848 | − | 9.95582i | −1.14809 | − | 0.484642i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 22.6643 | − | 8.85560i | 1.10067 | − | 0.430066i | ||||
\(425\) | 1.64487 | + | 17.8816i | 0.0797877 | + | 0.867386i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −0.676366 | − | 0.676366i | −0.0327317 | − | 0.0327317i | ||||
\(428\) | 0.200676 | − | 14.8932i | 0.00970005 | − | 0.719891i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −22.0670 | + | 10.1692i | −1.06417 | + | 0.490404i | ||||
\(431\) | 12.5590 | 0.604944 | 0.302472 | − | 0.953158i | \(-0.402188\pi\) | ||||
0.302472 | + | 0.953158i | \(0.402188\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 4.64837i | − | 0.223386i | −0.993743 | − | 0.111693i | \(-0.964373\pi\) | ||
0.993743 | − | 0.111693i | \(-0.0356274\pi\) | |||||||
\(434\) | −43.1358 | + | 17.5279i | −2.07058 | + | 0.841367i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −0.455134 | + | 33.7778i | −0.0217970 | + | 1.61767i | ||||
\(437\) | 6.23710 | + | 6.23710i | 0.298361 | + | 0.298361i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 7.09686 | 0.338715 | 0.169357 | − | 0.985555i | \(-0.445831\pi\) | ||||
0.169357 | + | 0.985555i | \(0.445831\pi\) | |||||||
\(440\) | −13.6943 | + | 35.6188i | −0.652850 | + | 1.69806i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −13.9581 | − | 5.89212i | −0.663920 | − | 0.280259i | ||||
\(443\) | −16.7044 | + | 16.7044i | −0.793649 | + | 0.793649i | −0.982085 | − | 0.188436i | \(-0.939658\pi\) |
0.188436 | + | 0.982085i | \(0.439658\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 11.6773 | − | 12.8007i | 0.553556 | − | 0.606813i | ||||
\(446\) | −16.6445 | + | 6.76338i | −0.788141 | + | 0.320255i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 25.3317 | − | 23.3624i | 1.19681 | − | 1.10377i | ||||
\(449\) | − | 22.3540i | − | 1.05495i | −0.849571 | − | 0.527475i | \(-0.823139\pi\) | ||
0.849571 | − | 0.527475i | \(-0.176861\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −32.7265 | − | 32.7265i | −1.54103 | − | 1.54103i | ||||
\(452\) | −25.9234 | + | 25.2341i | −1.21934 | + | 1.18691i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 24.5872 | + | 10.3790i | 1.15393 | + | 0.487109i | ||||
\(455\) | 1.31731 | + | 28.7018i | 0.0617562 | + | 1.34556i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −28.9883 | −1.35602 | −0.678008 | − | 0.735055i | \(-0.737156\pi\) | ||||
−0.678008 | + | 0.735055i | \(0.737156\pi\) | |||||||
\(458\) | 2.01856 | + | 0.852093i | 0.0943213 | + | 0.0398157i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0.946013 | + | 29.1961i | 0.0441081 | + | 1.36128i | ||||
\(461\) | −3.75610 | − | 3.75610i | −0.174939 | − | 0.174939i | 0.614206 | − | 0.789146i | \(-0.289476\pi\) |
−0.789146 | + | 0.614206i | \(0.789476\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −18.4896 | −0.859286 | −0.429643 | − | 0.902999i | \(-0.641361\pi\) | ||||
−0.429643 | + | 0.902999i | \(0.641361\pi\) | |||||||
\(464\) | 7.59081 | − | 7.19235i | 0.352395 | − | 0.333897i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −9.11203 | − | 22.4245i | −0.422107 | − | 1.03879i | ||||
\(467\) | −17.8623 | − | 17.8623i | −0.826570 | − | 0.826570i | 0.160471 | − | 0.987041i | \(-0.448699\pi\) |
−0.987041 | + | 0.160471i | \(0.948699\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −1.31549 | − | 1.31549i | −0.0607436 | − | 0.0607436i | ||||
\(470\) | −9.63763 | − | 3.55707i | −0.444551 | − | 0.164075i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 11.0969 | − | 4.33588i | 0.510776 | − | 0.199575i | ||||
\(473\) | 46.3604i | 2.13165i | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 4.31695 | − | 5.19161i | 0.198075 | − | 0.238207i | ||||
\(476\) | −21.5813 | − | 22.1708i | −0.989176 | − | 1.01620i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 23.3939 | − | 9.50594i | 1.07001 | − | 0.434792i | ||||
\(479\) | 21.2617 | 0.971474 | 0.485737 | − | 0.874105i | \(-0.338551\pi\) | ||||
0.485737 | + | 0.874105i | \(0.338551\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 8.05606 | 0.367325 | ||||||||
\(482\) | −6.70190 | + | 2.72327i | −0.305263 | + | 0.124041i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 35.4420 | + | 36.4102i | 1.61100 | + | 1.65501i | ||||
\(485\) | −15.4317 | − | 14.0773i | −0.700718 | − | 0.639219i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | − | 38.2041i | − | 1.73119i | −0.500744 | − | 0.865595i | \(-0.666940\pi\) | ||
0.500744 | − | 0.865595i | \(-0.333060\pi\) | |||||||
\(488\) | −0.228580 | − | 0.585010i | −0.0103473 | − | 0.0264821i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −12.6517 | + | 34.2789i | −0.571545 | + | 1.54856i | ||||
\(491\) | −11.2555 | − | 11.2555i | −0.507953 | − | 0.507953i | 0.405945 | − | 0.913898i | \(-0.366943\pi\) |
−0.913898 | + | 0.405945i | \(0.866943\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −6.63898 | − | 6.63898i | −0.299005 | − | 0.299005i | ||||
\(494\) | 2.14455 | + | 5.27769i | 0.0964879 | + | 0.237454i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −30.5621 | − | 0.823756i | −1.37228 | − | 0.0369877i | ||||
\(497\) | −6.96989 | −0.312642 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 19.2924 | + | 19.2924i | 0.863646 | + | 0.863646i | 0.991759 | − | 0.128114i | \(-0.0408923\pi\) |
−0.128114 | + | 0.991759i | \(0.540892\pi\) | |||||||
\(500\) | 22.1887 | − | 2.76826i | 0.992307 | − | 0.123800i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 7.41856 | + | 3.13159i | 0.331107 | + | 0.139770i | ||||
\(503\) | −27.8587 | −1.24216 | −0.621078 | − | 0.783748i | \(-0.713305\pi\) | ||||
−0.621078 | + | 0.783748i | \(0.713305\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −1.14708 | − | 24.9929i | −0.0510445 | − | 1.11217i | ||||
\(506\) | 51.3489 | + | 21.6758i | 2.28274 | + | 0.963608i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −10.4380 | + | 10.1605i | −0.463112 | + | 0.450798i | ||||
\(509\) | 0.475925 | + | 0.475925i | 0.0210950 | + | 0.0210950i | 0.717576 | − | 0.696481i | \(-0.245252\pi\) |
−0.696481 | + | 0.717576i | \(0.745252\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | − | 29.7518i | − | 1.31614i | ||||||
\(512\) | 21.3913 | − | 7.37652i | 0.945370 | − | 0.325999i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 38.2275 | − | 15.5335i | 1.68614 | − | 0.685153i | ||||
\(515\) | 26.7196 | + | 24.3745i | 1.17740 | + | 1.07407i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −13.8603 | + | 13.8603i | −0.609575 | + | 0.609575i | ||||
\(518\) | 15.1566 | + | 6.39805i | 0.665945 | + | 0.281114i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −6.77029 | + | 17.6095i | −0.296897 | + | 0.772229i | ||||
\(521\) | −28.2023 | −1.23557 | −0.617783 | − | 0.786348i | \(-0.711969\pi\) | ||||
−0.617783 | + | 0.786348i | \(0.711969\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 10.5066 | + | 10.5066i | 0.459420 | + | 0.459420i | 0.898465 | − | 0.439045i | \(-0.144683\pi\) |
−0.439045 | + | 0.898465i | \(0.644683\pi\) | |||||||
\(524\) | 0.377159 | − | 27.9909i | 0.0164763 | − | 1.22279i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −2.52480 | + | 1.02593i | −0.110086 | + | 0.0447328i | ||||
\(527\) | 27.4503i | 1.19575i | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 19.6655 | 0.855022 | ||||||||
\(530\) | −24.7077 | + | 11.3861i | −1.07323 | + | 0.494582i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −0.156741 | + | 11.6326i | −0.00679560 | + | 0.504337i | ||||
\(533\) | −16.1796 | − | 16.1796i | −0.700815 | − | 0.700815i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 0.763491 | + | 16.6351i | 0.0330086 | + | 0.719199i | ||||
\(536\) | −0.444574 | − | 1.13781i | −0.0192027 | − | 0.0491457i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 18.3095 | + | 7.72898i | 0.789380 | + | 0.333220i | ||||
\(539\) | 49.2979 | + | 49.2979i | 2.12341 | + | 2.12341i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −12.4368 | + | 12.4368i | −0.534698 | + | 0.534698i | −0.921967 | − | 0.387269i | \(-0.873419\pi\) |
0.387269 | + | 0.921967i | \(0.373419\pi\) | |||||||
\(542\) | −8.02711 | − | 19.7545i | −0.344794 | − | 0.848530i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −7.13813 | − | 19.0209i | −0.306045 | − | 0.815512i | ||||
\(545\) | −1.73160 | − | 37.7285i | −0.0741736 | − | 1.61611i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 5.78283 | − | 5.78283i | 0.247256 | − | 0.247256i | −0.572588 | − | 0.819844i | \(-0.694060\pi\) |
0.819844 | + | 0.572588i | \(0.194060\pi\) | |||||||
\(548\) | 24.8280 | + | 25.5062i | 1.06060 | + | 1.08957i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 12.9221 | − | 40.6610i | 0.551001 | − | 1.73379i | ||||
\(551\) | 3.53028i | 0.150395i | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −23.2307 | −0.987870 | ||||||||
\(554\) | 3.37437 | − | 7.99371i | 0.143363 | − | 0.339620i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 0.189878 | − | 14.0919i | 0.00805264 | − | 0.597628i | ||||
\(557\) | 12.9551 | − | 12.9551i | 0.548924 | − | 0.548924i | −0.377205 | − | 0.926130i | \(-0.623115\pi\) |
0.926130 | + | 0.377205i | \(0.123115\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 22.9200i | 0.969413i | ||||||||
\(560\) | −26.7229 | + | 27.7536i | −1.12925 | + | 1.17280i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 3.84063 | − | 1.56061i | 0.162007 | − | 0.0658305i | ||||
\(563\) | −14.1388 | − | 14.1388i | −0.595881 | − | 0.595881i | 0.343333 | − | 0.939214i | \(-0.388444\pi\) |
−0.939214 | + | 0.343333i | \(0.888444\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 27.2592 | − | 29.8817i | 1.14680 | − | 1.25713i | ||||
\(566\) | 22.6754 | + | 9.57192i | 0.953117 | + | 0.402338i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −4.19198 | − | 1.83648i | −0.175892 | − | 0.0770572i | ||||
\(569\) | 1.34936 | 0.0565679 | 0.0282840 | − | 0.999600i | \(-0.490996\pi\) | ||||
0.0282840 | + | 0.999600i | \(0.490996\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −32.6417 | + | 32.6417i | −1.36601 | + | 1.36601i | −0.499967 | + | 0.866045i | \(0.666654\pi\) |
−0.866045 | + | 0.499967i | \(0.833346\pi\) | |||||||
\(572\) | 25.1087 | + | 25.7945i | 1.04985 | + | 1.07852i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −17.5905 | − | 43.2898i | −0.734213 | − | 1.80688i | ||||
\(575\) | −2.99159 | − | 32.5221i | −0.124758 | − | 1.35627i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | − | 40.3389i | − | 1.67933i | −0.543104 | − | 0.839665i | \(-0.682751\pi\) | ||
0.543104 | − | 0.839665i | \(-0.317249\pi\) | |||||||
\(578\) | 5.37396 | − | 2.18367i | 0.223527 | − | 0.0908286i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −7.99498 | + | 8.53043i | −0.331973 | + | 0.354207i | ||||
\(581\) | 25.0788 | − | 25.0788i | 1.04044 | − | 1.04044i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 51.9081i | 2.14981i | ||||||||
\(584\) | 7.83926 | − | 17.8940i | 0.324391 | − | 0.740459i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −28.0421 | − | 11.8374i | −1.15841 | − | 0.488997i | ||||
\(587\) | 9.96452 | − | 9.96452i | 0.411280 | − | 0.411280i | −0.470905 | − | 0.882184i | \(-0.656072\pi\) |
0.882184 | + | 0.470905i | \(0.156072\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 7.29835 | − | 7.29835i | 0.300723 | − | 0.300723i | ||||
\(590\) | −12.0974 | + | 5.57489i | −0.498042 | + | 0.229514i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 7.43002 | + | 7.84165i | 0.305372 | + | 0.322290i | ||||
\(593\) | −19.4892 | −0.800324 | −0.400162 | − | 0.916444i | \(-0.631046\pi\) | ||||
−0.400162 | + | 0.916444i | \(0.631046\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 25.5561 | + | 23.3132i | 1.04770 | + | 0.955748i | ||||
\(596\) | 0.372765 | − | 27.6648i | 0.0152690 | − | 1.13320i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 25.3863 | + | 10.7163i | 1.03812 | + | 0.438221i | ||||
\(599\) | 16.4963i | 0.674020i | 0.941501 | + | 0.337010i | \(0.109416\pi\) | ||||
−0.941501 | + | 0.337010i | \(0.890584\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 8.09948i | 0.330385i | 0.986261 | + | 0.165192i | \(0.0528245\pi\) | ||||
−0.986261 | + | 0.165192i | \(0.947176\pi\) | |||||||
\(602\) | −18.2029 | + | 43.1216i | −0.741893 | + | 1.75751i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −17.2131 | + | 16.7554i | −0.700391 | + | 0.681768i | ||||
\(605\) | −41.9697 | − | 38.2863i | −1.70631 | − | 1.55656i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 0.975144 | 0.0395799 | 0.0197899 | − | 0.999804i | \(-0.493700\pi\) | ||||
0.0197899 | + | 0.999804i | \(0.493700\pi\) | |||||||
\(608\) | −3.15932 | + | 6.95503i | −0.128127 | + | 0.282064i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0.293898 | + | 0.637754i | 0.0118996 | + | 0.0258219i | ||||
\(611\) | −6.85236 | + | 6.85236i | −0.277217 | + | 0.277217i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 7.41162 | − | 7.41162i | 0.299353 | − | 0.299353i | −0.541408 | − | 0.840760i | \(-0.682108\pi\) |
0.840760 | + | 0.541408i | \(0.182108\pi\) | |||||||
\(614\) | −2.95098 | + | 6.99072i | −0.119092 | + | 0.282122i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 26.7535 | + | 68.4708i | 1.07793 | + | 2.75877i | ||||
\(617\) | − | 15.5875i | − | 0.627531i | −0.949501 | − | 0.313765i | \(-0.898409\pi\) | ||
0.949501 | − | 0.313765i | \(-0.101591\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −3.34655 | + | 3.34655i | −0.134509 | + | 0.134509i | −0.771156 | − | 0.636647i | \(-0.780321\pi\) |
0.636647 | + | 0.771156i | \(0.280321\pi\) | |||||||
\(620\) | 34.1639 | − | 1.10698i | 1.37206 | − | 0.0444573i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 9.68486 | + | 23.8342i | 0.388328 | + | 0.955665i | ||||
\(623\) | − | 33.3780i | − | 1.33726i | ||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −24.5805 | + | 4.56073i | −0.983219 | + | 0.182429i | ||||
\(626\) | −21.9828 | + | 8.93257i | −0.878611 | + | 0.357017i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −24.9294 | − | 0.335907i | −0.994791 | − | 0.0134041i | ||||
\(629\) | 6.85837 | − | 6.85837i | 0.273461 | − | 0.273461i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −17.5464 | −0.698510 | −0.349255 | − | 0.937028i | \(-0.613565\pi\) | ||||
−0.349255 | + | 0.937028i | \(0.613565\pi\) | |||||||
\(632\) | −13.9719 | − | 6.12102i | −0.555773 | − | 0.243481i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 0.0804439 | − | 0.190567i | 0.00319483 | − | 0.00756840i | ||||
\(635\) | 10.9759 | − | 12.0318i | 0.435564 | − | 0.477468i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 24.3723 | + | 24.3723i | 0.965666 | + | 0.965666i | ||||
\(638\) | 8.39768 | + | 20.6665i | 0.332467 | + | 0.818194i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −23.3850 | + | 9.65098i | −0.924374 | + | 0.381488i | ||||
\(641\) | 30.7369i | 1.21403i | 0.794689 | + | 0.607016i | \(0.207634\pi\) | ||||
−0.794689 | + | 0.607016i | \(0.792366\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 2.00487 | − | 2.00487i | 0.0790643 | − | 0.0790643i | −0.666469 | − | 0.745533i | \(-0.732195\pi\) |
0.745533 | + | 0.666469i | \(0.232195\pi\) | |||||||
\(644\) | 39.2509 | + | 40.3231i | 1.54670 | + | 1.58895i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 6.31877 | + | 2.66733i | 0.248609 | + | 0.104945i | ||||
\(647\) | 41.0262 | 1.61291 | 0.806453 | − | 0.591298i | \(-0.201384\pi\) | ||||
0.806453 | + | 0.591298i | \(0.201384\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 25.4153i | 0.997637i | ||||||||
\(650\) | 6.38854 | − | 20.1023i | 0.250579 | − | 0.788476i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −0.339159 | + | 25.1707i | −0.0132825 | + | 0.985762i | ||||
\(653\) | −10.2034 | + | 10.2034i | −0.399291 | + | 0.399291i | −0.877983 | − | 0.478692i | \(-0.841111\pi\) |
0.478692 | + | 0.877983i | \(0.341111\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 1.43494 | + | 31.2647i | 0.0560676 | + | 1.22161i | ||||
\(656\) | 0.826697 | − | 30.6712i | 0.0322771 | − | 1.19751i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −18.3341 | + | 7.44992i | −0.714737 | + | 0.290428i | ||||
\(659\) | −14.6544 | + | 14.6544i | −0.570853 | + | 0.570853i | −0.932367 | − | 0.361514i | \(-0.882260\pi\) |
0.361514 | + | 0.932367i | \(0.382260\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 31.9191 | + | 31.9191i | 1.24151 | + | 1.24151i | 0.959376 | + | 0.282131i | \(0.0910414\pi\) |
0.282131 | + | 0.959376i | \(0.408959\pi\) | |||||||
\(662\) | −1.69892 | + | 4.02466i | −0.0660306 | + | 0.156423i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 21.6914 | − | 8.47546i | 0.841789 | − | 0.328912i | ||||
\(665\) | −0.596337 | − | 12.9931i | −0.0231250 | − | 0.503852i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 12.0746 | + | 12.0746i | 0.467531 | + | 0.467531i | ||||
\(668\) | 6.08089 | − | 5.91920i | 0.235277 | − | 0.229021i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0.571613 | + | 1.24039i | 0.0220833 | + | 0.0479204i | ||||
\(671\) | 1.33985 | 0.0517243 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 3.74068i | 0.144193i | 0.997398 | + | 0.0720963i | \(0.0229689\pi\) | ||||
−0.997398 | + | 0.0720963i | \(0.977031\pi\) | |||||||
\(674\) | 11.1377 | + | 27.4097i | 0.429009 | + | 1.05578i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −5.72199 | − | 5.87830i | −0.220077 | − | 0.226088i | ||||
\(677\) | −14.8520 | − | 14.8520i | −0.570808 | − | 0.570808i | 0.361546 | − | 0.932354i | \(-0.382249\pi\) |
−0.932354 | + | 0.361546i | \(0.882249\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −40.2382 | −1.54420 | ||||||||
\(680\) | 9.22776 | + | 20.7553i | 0.353868 | + | 0.795928i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 25.3640 | − | 60.0860i | 0.971237 | − | 2.30081i | ||||
\(683\) | 0.704118 | − | 0.704118i | 0.0269423 | − | 0.0269423i | −0.693507 | − | 0.720450i | \(-0.743935\pi\) |
0.720450 | + | 0.693507i | \(0.243935\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −29.4008 | − | 26.8205i | −1.12335 | − | 1.02476i | ||||
\(686\) | 10.4450 | + | 25.7049i | 0.398791 | + | 0.981416i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −22.3100 | + | 21.1389i | −0.850560 | + | 0.805913i | ||||
\(689\) | 25.6627i | 0.977672i | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −27.9600 | − | 27.9600i | −1.06365 | − | 1.06365i | −0.997832 | − | 0.0658160i | \(-0.979035\pi\) |
−0.0658160 | − | 0.997832i | \(-0.520965\pi\) | |||||||
\(692\) | −0.153637 | + | 11.4022i | −0.00584040 | + | 0.433447i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −3.38227 | + | 8.01243i | −0.128389 | + | 0.304148i | ||||
\(695\) | 0.722410 | + | 15.7400i | 0.0274026 | + | 0.597054i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −27.5483 | −1.04347 | ||||||||
\(698\) | −2.88546 | + | 6.83551i | −0.109216 | + | 0.258728i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 27.9844 | − | 32.7466i | 1.05771 | − | 1.23771i | ||||
\(701\) | 3.89364 | + | 3.89364i | 0.147061 | + | 0.147061i | 0.776804 | − | 0.629743i | \(-0.216840\pi\) |
−0.629743 | + | 0.776804i | \(0.716840\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −3.64694 | −0.137547 | ||||||||
\(704\) | −1.95056 | + | 48.2304i | −0.0735146 | + | 1.81775i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −21.4081 | + | 8.69902i | −0.805704 | + | 0.327392i | ||||
\(707\) | −34.0801 | − | 34.0801i | −1.28171 | − | 1.28171i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −24.4875 | − | 24.4875i | −0.919648 | − | 0.919648i | 0.0773555 | − | 0.997004i | \(-0.475352\pi\) |
−0.997004 | + | 0.0773555i | \(0.975352\pi\) | |||||||
\(710\) | 4.80029 | + | 1.77170i | 0.180152 | + | 0.0664907i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 8.79470 | − | 20.0749i | 0.329595 | − | 0.752338i | ||||
\(713\) | − | 49.9251i | − | 1.86971i | ||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −29.7332 | − | 27.1236i | −1.11196 | − | 1.01437i | ||||
\(716\) | 0.0317773 | − | 2.35836i | 0.00118757 | − | 0.0881359i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −13.1461 | − | 32.3521i | −0.490606 | − | 1.20737i | ||||
\(719\) | 16.1711 | 0.603079 | 0.301540 | − | 0.953454i | \(-0.402499\pi\) | ||||
0.301540 | + | 0.953454i | \(0.402499\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 69.6714 | 2.59470 | ||||||||
\(722\) | 9.14443 | + | 22.5042i | 0.340320 | + | 0.837520i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −29.9637 | − | 0.403741i | −1.11359 | − | 0.0150049i | ||||
\(725\) | 8.35734 | − | 10.0506i | 0.310384 | − | 0.373271i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 37.5868i | 1.39402i | 0.717063 | + | 0.697008i | \(0.245486\pi\) | ||||
−0.717063 | + | 0.697008i | \(0.754514\pi\) | |||||||
\(728\) | 13.2266 | + | 33.8511i | 0.490211 | + | 1.25461i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −7.56271 | + | 20.4906i | −0.279909 | + | 0.758393i | ||||
\(731\) | 19.5125 | + | 19.5125i | 0.721695 | + | 0.721695i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −10.5565 | − | 10.5565i | −0.389913 | − | 0.389913i | 0.484744 | − | 0.874656i | \(-0.338913\pi\) |
−0.874656 | + | 0.484744i | \(0.838913\pi\) | |||||||
\(734\) | −8.75432 | + | 3.55726i | −0.323128 | + | 0.131301i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 12.9824 | + | 34.5941i | 0.478539 | + | 1.27516i | ||||
\(737\) | 2.60592 | 0.0959903 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −5.50334 | − | 5.50334i | −0.202444 | − | 0.202444i | 0.598603 | − | 0.801046i | \(-0.295723\pi\) |
−0.801046 | + | 0.598603i | \(0.795723\pi\) | |||||||
\(740\) | −8.81232 | − | 8.25917i | −0.323947 | − | 0.303613i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −20.3811 | + | 48.2817i | −0.748214 | + | 1.77248i | ||||
\(743\) | 5.53668 | 0.203121 | 0.101561 | − | 0.994829i | \(-0.467616\pi\) | ||||
0.101561 | + | 0.994829i | \(0.467616\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 1.41822 | + | 30.9005i | 0.0519595 | + | 1.13211i | ||||
\(746\) | −14.7500 | + | 34.9421i | −0.540037 | + | 1.27932i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 43.3354 | + | 0.583915i | 1.58450 | + | 0.0213501i | ||||
\(749\) | 22.6835 | + | 22.6835i | 0.828837 | + | 0.828837i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 30.2295i | 1.10309i | 0.834145 | + | 0.551546i | \(0.185962\pi\) | ||||
−0.834145 | + | 0.551546i | \(0.814038\pi\) | |||||||
\(752\) | −12.9898 | − | 0.350123i | −0.473691 | − | 0.0127677i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 4.15171 | + | 10.2173i | 0.151196 | + | 0.372091i | ||||
\(755\) | 18.1000 | − | 19.8414i | 0.658728 | − | 0.722103i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −25.8317 | + | 25.8317i | −0.938870 | + | 0.938870i | −0.998236 | − | 0.0593667i | \(-0.981092\pi\) |
0.0593667 | + | 0.998236i | \(0.481092\pi\) | |||||||
\(758\) | 13.5498 | − | 32.0988i | 0.492151 | − | 1.16588i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 3.06488 | − | 7.97174i | 0.111175 | − | 0.289165i | ||||
\(761\) | 6.93351 | 0.251340 | 0.125670 | − | 0.992072i | \(-0.459892\pi\) | ||||
0.125670 | + | 0.992072i | \(0.459892\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −51.4462 | − | 51.4462i | −1.86248 | − | 1.86248i | ||||
\(764\) | 5.49119 | − | 5.34518i | 0.198664 | − | 0.193382i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −5.56560 | − | 13.6968i | −0.201093 | − | 0.494886i | ||||
\(767\) | 12.5650i | 0.453696i | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 18.4481 | 0.665257 | 0.332629 | − | 0.943058i | \(-0.392064\pi\) | ||||
0.332629 | + | 0.943058i | \(0.392064\pi\) | |||||||
\(770\) | −34.3985 | − | 74.6441i | −1.23964 | − | 2.68999i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 7.02080 | + | 7.21259i | 0.252684 | + | 0.259587i | ||||
\(773\) | 8.74138 | + | 8.74138i | 0.314405 | + | 0.314405i | 0.846614 | − | 0.532208i | \(-0.178638\pi\) |
−0.532208 | + | 0.846614i | \(0.678638\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −38.0558 | + | 3.50062i | −1.36700 | + | 0.125746i | ||||
\(776\) | −24.2010 | − | 10.6023i | −0.868763 | − | 0.380601i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 5.22255 | − | 12.3719i | 0.187237 | − | 0.443556i | ||||
\(779\) | 7.32440 | + | 7.32440i | 0.262424 | + | 0.262424i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 6.90351 | − | 6.90351i | 0.247027 | − | 0.247027i | ||||
\(782\) | 30.7352 | − | 12.4890i | 1.09909 | − | 0.446606i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −1.24531 | + | 46.2019i | −0.0444752 | + | 1.65007i | ||||
\(785\) | 27.8451 | − | 1.27799i | 0.993836 | − | 0.0456134i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 16.3355 | − | 16.3355i | 0.582299 | − | 0.582299i | −0.353235 | − | 0.935534i | \(-0.614919\pi\) |
0.935534 | + | 0.353235i | \(0.114919\pi\) | |||||||
\(788\) | 19.8469 | + | 0.267424i | 0.707018 | + | 0.00952659i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 15.9994 | + | 5.90509i | 0.569234 | + | 0.210094i | ||||
\(791\) | − | 77.9168i | − | 2.77040i | ||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 0.662406 | 0.0235227 | ||||||||
\(794\) | −47.6016 | − | 20.0940i | −1.68932 | − | 0.713109i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 19.7117 | − | 19.1875i | 0.698662 | − | 0.680084i | ||||
\(797\) | −11.3444 | + | 11.3444i | −0.401841 | + | 0.401841i | −0.878881 | − | 0.477040i | \(-0.841710\pi\) |
0.477040 | + | 0.878881i | \(0.341710\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 11.6672i | 0.412757i | ||||||||
\(800\) | 25.4593 | − | 12.3216i | 0.900123 | − | 0.435635i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 9.86901 | + | 24.2874i | 0.348487 | + | 0.857618i | ||||
\(803\) | 29.4685 | + | 29.4685i | 1.03992 | + | 1.03992i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −46.4801 | − | 42.4008i | −1.63821 | − | 1.49443i | ||||
\(806\) | 12.5396 | − | 29.7058i | 0.441690 | − | 1.04634i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −11.5175 | − | 29.4769i | −0.405184 | − | 1.03699i | ||||
\(809\) | −14.8157 | −0.520893 | −0.260446 | − | 0.965488i | \(-0.583870\pi\) | ||||
−0.260446 | + | 0.965488i | \(0.583870\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −9.73571 | + | 9.73571i | −0.341867 | + | 0.341867i | −0.857069 | − | 0.515202i | \(-0.827717\pi\) |
0.515202 | + | 0.857069i | \(0.327717\pi\) | |||||||
\(812\) | −0.303441 | + | 22.5200i | −0.0106487 | + | 0.790295i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −21.3494 | + | 8.67518i | −0.748296 | + | 0.304065i | ||||
\(815\) | −1.29036 | − | 28.1147i | −0.0451994 | − | 0.984815i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | − | 10.3758i | − | 0.363002i | ||||||
\(818\) | 3.43520 | + | 8.45396i | 0.120109 | + | 0.295586i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 1.11093 | + | 34.2859i | 0.0387953 | + | 1.19731i | ||||
\(821\) | −0.499371 | + | 0.499371i | −0.0174282 | + | 0.0174282i | −0.715767 | − | 0.698339i | \(-0.753923\pi\) |
0.698339 | + | 0.715767i | \(0.253923\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | − | 33.6494i | − | 1.17295i | −0.809969 | − | 0.586473i | \(-0.800516\pi\) | ||
0.809969 | − | 0.586473i | \(-0.199484\pi\) | |||||||
\(824\) | 41.9033 | + | 18.3576i | 1.45977 | + | 0.639517i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −9.97900 | + | 23.6397i | −0.347214 | + | 0.822532i | ||||
\(827\) | 11.7750 | − | 11.7750i | 0.409456 | − | 0.409456i | −0.472093 | − | 0.881549i | \(-0.656501\pi\) |
0.881549 | + | 0.472093i | \(0.156501\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 35.3882 | − | 35.3882i | 1.22908 | − | 1.22908i | 0.264772 | − | 0.964311i | \(-0.414703\pi\) |
0.964311 | − | 0.264772i | \(-0.0852968\pi\) | |||||||
\(830\) | −23.6471 | + | 10.8974i | −0.820802 | + | 0.378253i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −0.964334 | + | 23.8445i | −0.0334323 | + | 0.826660i | ||||
\(833\) | 41.4977 | 1.43781 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −6.39422 | + | 7.00940i | −0.221281 | + | 0.242570i | ||||
\(836\) | −11.3666 | − | 11.6771i | −0.393121 | − | 0.403859i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 9.33354 | − | 22.1107i | 0.322422 | − | 0.763800i | ||||
\(839\) | 20.9084i | 0.721838i | 0.932597 | + | 0.360919i | \(0.117537\pi\) | ||||
−0.932597 | + | 0.360919i | \(0.882463\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | − | 22.1656i | − | 0.764331i | ||||||
\(842\) | −44.0394 | − | 18.5903i | −1.51770 | − | 0.640664i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 36.2007 | + | 0.487779i | 1.24608 | + | 0.0167901i | ||||
\(845\) | 6.77587 | + | 6.18119i | 0.233097 | + | 0.212639i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −109.436 | −3.76027 | ||||||||
\(848\) | −24.9797 | + | 23.6685i | −0.857807 | + | 0.812779i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −11.6749 | − | 22.5524i | −0.400446 | − | 0.773542i | ||||
\(851\) | −12.4736 | + | 12.4736i | −0.427590 | + | 0.427590i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −33.7697 | + | 33.7697i | −1.15625 | + | 1.15625i | −0.170976 | + | 0.985275i | \(0.554692\pi\) |
−0.985275 | + | 0.170976i | \(0.945308\pi\) | |||||||
\(854\) | 1.24625 | + | 0.526076i | 0.0426457 | + | 0.0180020i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 7.66596 | + | 19.6196i | 0.262017 | + | 0.670585i | ||||
\(857\) | − | 44.3305i | − | 1.51430i | −0.653241 | − | 0.757150i | \(-0.726591\pi\) | ||
0.653241 | − | 0.757150i | \(-0.273409\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 31.2008 | − | 31.2008i | 1.06456 | − | 1.06456i | 0.0667892 | − | 0.997767i | \(-0.478724\pi\) |
0.997767 | − | 0.0667892i | \(-0.0212755\pi\) | |||||||
\(860\) | 23.4979 | − | 25.0716i | 0.801270 | − | 0.854935i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −16.4545 | + | 6.68616i | −0.560442 | + | 0.227732i | ||||
\(863\) | − | 47.7067i | − | 1.62396i | −0.583689 | − | 0.811978i | \(-0.698391\pi\) | ||
0.583689 | − | 0.811978i | \(-0.301609\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −0.584527 | − | 12.7358i | −0.0198745 | − | 0.433030i | ||||
\(866\) | 2.47471 | + | 6.09019i | 0.0840940 | + | 0.206953i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 47.1841 | − | 45.9294i | 1.60153 | − | 1.55895i | ||||
\(869\) | 23.0095 | − | 23.0095i | 0.780542 | − | 0.780542i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 1.28834 | 0.0436536 | ||||||||
\(872\) | −17.3864 | − | 44.4973i | −0.588778 | − | 1.50687i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −11.4922 | − | 4.85120i | −0.388731 | − | 0.164094i | ||||
\(875\) | −29.0613 | + | 38.4028i | −0.982450 | + | 1.29825i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 11.6792 | + | 11.6792i | 0.394379 | + | 0.394379i | 0.876245 | − | 0.481866i | \(-0.160041\pi\) |
−0.481866 | + | 0.876245i | \(0.660041\pi\) | |||||||
\(878\) | −9.29816 | + | 3.77824i | −0.313798 | + | 0.127509i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −1.02085 | − | 53.9577i | −0.0344127 | − | 1.81891i | ||||
\(881\) | 26.5637i | 0.894953i | 0.894296 | + | 0.447477i | \(0.147677\pi\) | ||||
−0.894296 | + | 0.447477i | \(0.852323\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 23.1556 | − | 23.1556i | 0.779249 | − | 0.779249i | −0.200454 | − | 0.979703i | \(-0.564242\pi\) |
0.979703 | + | 0.200454i | \(0.0642419\pi\) | |||||||
\(884\) | 21.4245 | + | 0.288681i | 0.720584 | + | 0.00970938i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 12.9926 | − | 30.7788i | 0.436496 | − | 1.03404i | ||||
\(887\) | −44.2415 | −1.48549 | −0.742743 | − | 0.669577i | \(-0.766475\pi\) | ||||
−0.742743 | + | 0.669577i | \(0.766475\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | − | 31.3730i | − | 1.05222i | ||||||
\(890\) | −8.48445 | + | 22.9880i | −0.284399 | + | 0.770560i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 18.2066 | − | 17.7225i | 0.609602 | − | 0.593393i | ||||
\(893\) | 3.10203 | − | 3.10203i | 0.103805 | − | 0.103805i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 0.120900 | + | 2.63419i | 0.00404123 | + | 0.0880512i | ||||
\(896\) | −20.7514 | + | 44.0951i | −0.693255 | + | 1.47311i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 11.9009 | + | 29.2877i | 0.397137 | + | 0.977344i | ||||
\(899\) | 14.1291 | − | 14.1291i | 0.471233 | − | 0.471233i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 21.8474 | + | 21.8474i | 0.727844 | + | 0.727844i | ||||
\(902\) | 60.3005 | + | 25.4545i | 2.00779 | + | 0.847544i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 20.5302 | − | 46.8624i | 0.682823 | − | 1.55862i | ||||
\(905\) | 33.4683 | − | 1.53607i | 1.11252 | − | 0.0510607i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 36.0867 | + | 36.0867i | 1.19824 | + | 1.19824i | 0.974694 | + | 0.223545i | \(0.0717629\pi\) |
0.223545 | + | 0.974694i | \(0.428237\pi\) | |||||||
\(908\) | −37.7392 | − | 0.508511i | −1.25242 | − | 0.0168755i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −17.0062 | − | 36.9031i | −0.563750 | − | 1.22333i | ||||
\(911\) | −4.93520 | −0.163510 | −0.0817552 | − | 0.996652i | \(-0.526053\pi\) | ||||
−0.0817552 | + | 0.996652i | \(0.526053\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 49.6799i | 1.64416i | ||||||||
\(914\) | 37.9799 | − | 15.4328i | 1.25626 | − | 0.510473i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −3.09832 | − | 0.0417478i | −0.102371 | − | 0.00137939i | ||||
\(917\) | 42.6323 | + | 42.6323i | 1.40784 | + | 1.40784i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 28.2846 | 0.933023 | 0.466511 | − | 0.884515i | \(-0.345511\pi\) | ||||
0.466511 | + | 0.884515i | \(0.345511\pi\) | |||||||
\(920\) | −16.7829 | − | 37.7485i | −0.553317 | − | 1.24453i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 6.92085 | + | 2.92149i | 0.227926 | + | 0.0962141i | ||||
\(923\) | 3.41301 | − | 3.41301i | 0.112341 | − | 0.112341i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 10.3827 | + | 8.63350i | 0.341382 | + | 0.283868i | ||||
\(926\) | 24.2247 | − | 9.84355i | 0.796074 | − | 0.323479i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −6.11625 | + | 13.4645i | −0.200776 | + | 0.441993i | ||||
\(929\) | − | 27.7896i | − | 0.911746i | −0.890045 | − | 0.455873i | \(-0.849327\pi\) | ||
0.890045 | − | 0.455873i | \(-0.150673\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −11.0332 | − | 11.0332i | −0.361599 | − | 0.361599i | ||||
\(932\) | 23.8768 | + | 24.5290i | 0.782110 | + | 0.803475i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 32.9124 | + | 13.8933i | 1.07693 | + | 0.454602i | ||||
\(935\) | −48.4039 | + | 2.22156i | −1.58298 | + | 0.0726528i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 39.5362 | 1.29159 | 0.645796 | − | 0.763510i | \(-0.276526\pi\) | ||||
0.645796 | + | 0.763510i | \(0.276526\pi\) | |||||||
\(938\) | 2.42387 | + | 1.02318i | 0.0791421 | + | 0.0334081i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 14.5207 | − | 0.470501i | 0.473614 | − | 0.0153460i | ||||
\(941\) | 12.9497 | + | 12.9497i | 0.422149 | + | 0.422149i | 0.885943 | − | 0.463794i | \(-0.153512\pi\) |
−0.463794 | + | 0.885943i | \(0.653512\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 50.1033 | 1.63159 | ||||||||
\(944\) | −12.2306 | + | 11.5886i | −0.398072 | + | 0.377176i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −24.6814 | − | 60.7404i | −0.802463 | − | 1.97484i | ||||
\(947\) | 21.0330 | + | 21.0330i | 0.683481 | + | 0.683481i | 0.960783 | − | 0.277302i | \(-0.0894401\pi\) |
−0.277302 | + | 0.960783i | \(0.589440\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 14.5689 | + | 14.5689i | 0.472925 | + | 0.472925i | ||||
\(950\) | −2.89206 | + | 9.10020i | −0.0938308 | + | 0.295250i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 40.0787 | + | 17.5582i | 1.29896 | + | 0.569066i | ||||
\(953\) | − | 25.8627i | − | 0.837774i | −0.908038 | − | 0.418887i | \(-0.862420\pi\) | ||
0.908038 | − | 0.418887i | \(-0.137580\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −5.77413 | + | 6.32965i | −0.186847 | + | 0.204823i | ||||
\(956\) | −25.5894 | + | 24.9090i | −0.827621 | + | 0.805614i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −27.8567 | + | 11.3194i | −0.900009 | + | 0.365712i | ||||
\(959\) | −76.6628 | −2.47557 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −27.4199 | −0.884512 | ||||||||
\(962\) | −10.5549 | + | 4.28890i | −0.340303 | + | 0.138280i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 7.33087 | − | 7.13594i | 0.236111 | − | 0.229833i | ||||
\(965\) | −8.31389 | − | 7.58423i | −0.267634 | − | 0.244145i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 29.5467i | 0.950157i | 0.879943 | + | 0.475079i | \(0.157580\pi\) | ||||
−0.879943 | + | 0.475079i | \(0.842420\pi\) | |||||||
\(968\) | −65.8195 | − | 28.8352i | −2.11552 | − | 0.926797i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 27.7128 | + | 10.2283i | 0.889805 | + | 0.328411i | ||||
\(971\) | −4.28841 | − | 4.28841i | −0.137621 | − | 0.137621i | 0.634940 | − | 0.772561i | \(-0.281025\pi\) |
−0.772561 | + | 0.634940i | \(0.781025\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 21.4630 | + | 21.4630i | 0.688071 | + | 0.688071i | ||||
\(974\) | 20.3391 | + | 50.0542i | 0.651708 | + | 1.60384i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 0.610930 | + | 0.644775i | 0.0195554 | + | 0.0206388i | ||||
\(977\) | 14.9714 | 0.478976 | 0.239488 | − | 0.970899i | \(-0.423020\pi\) | ||||
0.239488 | + | 0.970899i | \(0.423020\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 33.0601 | + | 33.0601i | 1.05660 | + | 1.05660i | ||||
\(980\) | −1.67346 | − | 51.6470i | −0.0534568 | − | 1.64980i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 20.7389 | + | 8.75449i | 0.661806 | + | 0.279367i | ||||
\(983\) | 9.58755 | 0.305795 | 0.152898 | − | 0.988242i | \(-0.451139\pi\) | ||||
0.152898 | + | 0.988242i | \(0.451139\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −22.1682 | + | 1.01744i | −0.706338 | + | 0.0324183i | ||||
\(986\) | 12.2327 | + | 5.16378i | 0.389569 | + | 0.164448i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −5.61949 | − | 5.77299i | −0.178780 | − | 0.183663i | ||||
\(989\) | −35.4883 | − | 35.4883i | −1.12846 | − | 1.12846i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | − | 43.4685i | − | 1.38082i | −0.723417 | − | 0.690412i | \(-0.757429\pi\) | ||
0.723417 | − | 0.690412i | \(-0.242571\pi\) | |||||||
\(992\) | 40.4803 | − | 15.1914i | 1.28525 | − | 0.482328i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 9.13181 | − | 3.71064i | 0.289643 | − | 0.117694i | ||||
\(995\) | −20.7273 | + | 22.7215i | −0.657101 | + | 0.720320i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −1.90040 | + | 1.90040i | −0.0601862 | + | 0.0601862i | −0.736559 | − | 0.676373i | \(-0.763551\pi\) |
0.676373 | + | 0.736559i | \(0.263551\pi\) | |||||||
\(998\) | −35.5474 | − | 15.0056i | −1.12523 | − | 0.474993i | ||||
\(999\) | 0 | 0 |
(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 | 720.2.u.a.539.5 | yes | 96 | |
3.2 | odd | 2 | inner | 720.2.u.a.539.44 | yes | 96 | |
4.3 | odd | 2 | 2880.2.u.a.719.13 | 96 | |||
5.4 | even | 2 | inner | 720.2.u.a.539.43 | yes | 96 | |
12.11 | even | 2 | 2880.2.u.a.719.36 | 96 | |||
15.14 | odd | 2 | inner | 720.2.u.a.539.6 | yes | 96 | |
16.3 | odd | 4 | inner | 720.2.u.a.179.6 | yes | 96 | |
16.13 | even | 4 | 2880.2.u.a.2159.37 | 96 | |||
20.19 | odd | 2 | 2880.2.u.a.719.12 | 96 | |||
48.29 | odd | 4 | 2880.2.u.a.2159.12 | 96 | |||
48.35 | even | 4 | inner | 720.2.u.a.179.43 | yes | 96 | |
60.59 | even | 2 | 2880.2.u.a.719.37 | 96 | |||
80.19 | odd | 4 | inner | 720.2.u.a.179.44 | yes | 96 | |
80.29 | even | 4 | 2880.2.u.a.2159.36 | 96 | |||
240.29 | odd | 4 | 2880.2.u.a.2159.13 | 96 | |||
240.179 | even | 4 | inner | 720.2.u.a.179.5 | ✓ | 96 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
720.2.u.a.179.5 | ✓ | 96 | 240.179 | even | 4 | inner | |
720.2.u.a.179.6 | yes | 96 | 16.3 | odd | 4 | inner | |
720.2.u.a.179.43 | yes | 96 | 48.35 | even | 4 | inner | |
720.2.u.a.179.44 | yes | 96 | 80.19 | odd | 4 | inner | |
720.2.u.a.539.5 | yes | 96 | 1.1 | even | 1 | trivial | |
720.2.u.a.539.6 | yes | 96 | 15.14 | odd | 2 | inner | |
720.2.u.a.539.43 | yes | 96 | 5.4 | even | 2 | inner | |
720.2.u.a.539.44 | yes | 96 | 3.2 | odd | 2 | inner | |
2880.2.u.a.719.12 | 96 | 20.19 | odd | 2 | |||
2880.2.u.a.719.13 | 96 | 4.3 | odd | 2 | |||
2880.2.u.a.719.36 | 96 | 12.11 | even | 2 | |||
2880.2.u.a.719.37 | 96 | 60.59 | even | 2 | |||
2880.2.u.a.2159.12 | 96 | 48.29 | odd | 4 | |||
2880.2.u.a.2159.13 | 96 | 240.29 | odd | 4 | |||
2880.2.u.a.2159.36 | 96 | 80.29 | even | 4 | |||
2880.2.u.a.2159.37 | 96 | 16.13 | even | 4 |