Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [784,2,Mod(111,784)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(784, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([7, 0, 11]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("784.111");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 784 = 2^{4} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 784.bb (of order \(14\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.26027151847\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{14})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 111.10 | ||
Character | \(\chi\) | \(=\) | 784.111 |
Dual form | 784.2.bb.b.671.10 |
$q$-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 \(\left(\mathbb{Z}/784\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(687\) | \(689\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{11}{14}\right)\) |
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 | ||||||||
\(3\) | −0.0314318 | − | 0.0394142i | −0.0181471 | − | 0.0227558i | 0.772675 | − | 0.634802i | \(-0.218918\pi\) |
−0.790822 | + | 0.612046i | \(0.790347\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −0.245577 | + | 0.195841i | −0.109825 | + | 0.0875829i | −0.676863 | − | 0.736109i | \(-0.736661\pi\) |
0.567037 | + | 0.823692i | \(0.308090\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.27396 | + | 2.31884i | −0.481513 | + | 0.876439i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0.666997 | − | 2.92231i | 0.222332 | − | 0.974102i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 5.46385 | − | 1.24709i | 1.64741 | − | 0.376011i | 0.704670 | − | 0.709535i | \(-0.251095\pi\) |
0.942742 | + | 0.333524i | \(0.108238\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −3.56389 | + | 0.813435i | −0.988446 | + | 0.225606i | −0.686033 | − | 0.727571i | \(-0.740649\pi\) |
−0.302413 | + | 0.953177i | \(0.597792\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0.0154379 | + | 0.00352359i | 0.00398604 | + | 0.000909787i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 2.74227 | − | 5.69439i | 0.665099 | − | 1.38109i | −0.246149 | − | 0.969232i | \(-0.579165\pi\) |
0.911247 | − | 0.411859i | \(-0.135121\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 1.60672 | 0.368606 | 0.184303 | − | 0.982869i | \(-0.440997\pi\) | ||||
0.184303 | + | 0.982869i | \(0.440997\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0.131438 | − | 0.0226730i | 0.0286822 | − | 0.00494765i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 2.80789 | + | 5.83064i | 0.585485 | + | 1.21577i | 0.957738 | + | 0.287641i | \(0.0928709\pi\) |
−0.372254 | + | 0.928131i | \(0.621415\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.09065 | + | 4.77845i | −0.218130 | + | 0.955690i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −0.272406 | + | 0.131184i | −0.0524246 | + | 0.0252463i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 4.84679 | + | 2.33409i | 0.900027 | + | 0.433430i | 0.825899 | − | 0.563819i | \(-0.190668\pi\) |
0.0741280 | + | 0.997249i | \(0.476383\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 6.16469 | 1.10721 | 0.553606 | − | 0.832779i | \(-0.313252\pi\) | ||||
0.553606 | + | 0.832779i | \(0.313252\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −0.220891 | − | 0.176155i | −0.0384523 | − | 0.0306646i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −0.141268 | − | 0.818949i | −0.0238786 | − | 0.138428i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.0632092 | + | 0.0304399i | 0.0103915 | + | 0.00500430i | 0.439072 | − | 0.898452i | \(-0.355307\pi\) |
−0.428681 | + | 0.903456i | \(0.641021\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0.144080 | + | 0.114900i | 0.0230713 | + | 0.0183988i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 5.05633 | − | 4.03229i | 0.789666 | − | 0.629737i | −0.143310 | − | 0.989678i | \(-0.545774\pi\) |
0.932975 | + | 0.359941i | \(0.117203\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 7.52952 | + | 6.00459i | 1.14824 | + | 0.915692i | 0.997342 | − | 0.0728576i | \(-0.0232119\pi\) |
0.150899 | + | 0.988549i | \(0.451783\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0.408509 | + | 0.848277i | 0.0608969 | + | 0.126454i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −1.42595 | − | 6.24751i | −0.207997 | − | 0.911293i | −0.965898 | − | 0.258924i | \(-0.916632\pi\) |
0.757901 | − | 0.652369i | \(-0.226225\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −3.75403 | − | 5.90824i | −0.536290 | − | 0.844034i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −0.310634 | + | 0.0709002i | −0.0434975 | + | 0.00992802i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 2.92158 | − | 1.40696i | 0.401310 | − | 0.193261i | −0.222331 | − | 0.974971i | \(-0.571367\pi\) |
0.623642 | + | 0.781710i | \(0.285652\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −1.09757 | + | 1.37630i | −0.147996 | + | 0.185581i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −0.0505020 | − | 0.0633275i | −0.00668915 | − | 0.00838793i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −6.07214 | + | 7.61423i | −0.790526 | + | 0.991288i | 0.209384 | + | 0.977834i | \(0.432854\pi\) |
−0.999909 | + | 0.0134545i | \(0.995717\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 5.86499 | − | 12.1788i | 0.750935 | − | 1.55933i | −0.0760459 | − | 0.997104i | \(-0.524230\pi\) |
0.826981 | − | 0.562229i | \(-0.190056\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 5.92663 | + | 5.26957i | 0.746685 | + | 0.663904i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 0.715906 | − | 0.897718i | 0.0887973 | − | 0.111348i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 8.32399i | 1.01694i | 0.861080 | + | 0.508469i | \(0.169788\pi\) | ||||
−0.861080 | + | 0.508469i | \(0.830212\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 0.141553 | − | 0.293938i | 0.0170410 | − | 0.0353860i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −1.95339 | − | 4.05626i | −0.231825 | − | 0.481390i | 0.752310 | − | 0.658809i | \(-0.228939\pi\) |
−0.984135 | + | 0.177419i | \(0.943225\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −12.2207 | − | 2.78929i | −1.43032 | − | 0.326462i | −0.563929 | − | 0.825823i | \(-0.690711\pi\) |
−0.866394 | + | 0.499361i | \(0.833568\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 0.222620 | − | 0.107208i | 0.0257059 | − | 0.0123793i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −4.06895 | + | 14.2585i | −0.463700 | + | 1.62491i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | − | 13.3795i | − | 1.50532i | −0.658412 | − | 0.752658i | \(-0.728772\pi\) | ||
0.658412 | − | 0.752658i | \(-0.271228\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −8.08812 | − | 3.89503i | −0.898680 | − | 0.432781i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −0.630329 | + | 2.76165i | −0.0691877 | + | 0.303131i | −0.997668 | − | 0.0682500i | \(-0.978258\pi\) |
0.928481 | + | 0.371381i | \(0.121116\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.441756 | + | 1.93546i | 0.0479152 | + | 0.209930i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −0.0603469 | − | 0.264397i | −0.00646987 | − | 0.0283463i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 15.9297 | + | 3.63584i | 1.68854 | + | 0.385399i | 0.955548 | − | 0.294837i | \(-0.0952652\pi\) |
0.732994 | + | 0.680235i | \(0.238122\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 2.65404 | − | 9.30038i | 0.278219 | − | 0.974945i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −0.193767 | − | 0.242976i | −0.0200927 | − | 0.0251955i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −0.394573 | + | 0.314662i | −0.0404824 | + | 0.0322836i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | − | 10.0921i | − | 1.02469i | −0.858779 | − | 0.512347i | \(-0.828776\pi\) | ||
0.858779 | − | 0.512347i | \(-0.171224\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | − | 16.7988i | − | 1.68835i | ||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −12.7383 | + | 10.1585i | −1.26751 | + | 1.01081i | −0.268645 | + | 0.963239i | \(0.586576\pi\) |
−0.998868 | + | 0.0475682i | \(0.984853\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 1.34044 | + | 1.68086i | 0.132077 | + | 0.165620i | 0.843472 | − | 0.537173i | \(-0.180508\pi\) |
−0.711395 | + | 0.702792i | \(0.751936\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −0.0278379 | + | 0.0313090i | −0.00271670 | + | 0.00305544i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −12.7434 | − | 2.90860i | −1.23195 | − | 0.281185i | −0.443496 | − | 0.896276i | \(-0.646262\pi\) |
−0.788456 | + | 0.615092i | \(0.789119\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 4.30811 | + | 18.8751i | 0.412642 | + | 1.80790i | 0.571499 | + | 0.820602i | \(0.306362\pi\) |
−0.158857 | + | 0.987302i | \(0.550781\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −0.000787011 | − | 0.00344812i | −7.46998e−5 | − | 0.000327281i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −1.46554 | + | 6.42093i | −0.137866 | + | 0.604030i | 0.858036 | + | 0.513590i | \(0.171685\pi\) |
−0.995902 | + | 0.0904405i | \(0.971172\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −1.83143 | − | 0.881971i | −0.170782 | − | 0.0822443i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 10.9573i | 1.01301i | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 9.71081 | + | 13.6133i | 0.890188 | + | 1.24793i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 18.3877 | − | 8.85506i | 1.67161 | − | 0.805006i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −0.317859 | − | 0.0725492i | −0.0286604 | − | 0.00654154i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −1.34940 | − | 2.80207i | −0.120694 | − | 0.250625i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 0.108509 | − | 0.225321i | 0.00962862 | − | 0.0199940i | −0.896099 | − | 0.443854i | \(-0.853611\pi\) |
0.905728 | + | 0.423860i | \(0.139325\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | − | 0.485505i | − | 0.0427463i | ||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −7.63982 | + | 9.58003i | −0.667494 | + | 0.837011i | −0.994136 | − | 0.108137i | \(-0.965511\pi\) |
0.326642 | + | 0.945148i | \(0.394083\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −2.04690 | + | 3.72572i | −0.177489 | + | 0.323061i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 0.0412055 | − | 0.0855641i | 0.00354641 | − | 0.00736419i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 0.0869664 | − | 0.109052i | 0.00743004 | − | 0.00931698i | −0.778103 | − | 0.628137i | \(-0.783818\pi\) |
0.785533 | + | 0.618820i | \(0.212389\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 3.20016 | + | 4.01288i | 0.271434 | + | 0.340368i | 0.898802 | − | 0.438356i | \(-0.144439\pi\) |
−0.627367 | + | 0.778724i | \(0.715867\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −0.201420 | + | 0.252573i | −0.0169627 | + | 0.0212705i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −18.4581 | + | 8.88897i | −1.54355 | + | 0.743333i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −1.64737 | + | 0.376002i | −0.136807 | + | 0.0312253i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −0.114873 | + | 0.333669i | −0.00947453 | + | 0.0275205i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −2.04062 | − | 8.94052i | −0.167174 | − | 0.732436i | −0.987118 | − | 0.159993i | \(-0.948853\pi\) |
0.819944 | − | 0.572443i | \(-0.194004\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −5.01189 | − | 10.4073i | −0.407862 | − | 0.846934i | −0.999180 | − | 0.0404952i | \(-0.987106\pi\) |
0.591318 | − | 0.806439i | \(-0.298608\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −14.8116 | − | 11.8119i | −1.19745 | − | 0.954935i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −1.51391 | + | 1.20730i | −0.121600 | + | 0.0969728i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −1.45851 | − | 1.16312i | −0.116402 | − | 0.0928274i | 0.563559 | − | 0.826076i | \(-0.309432\pi\) |
−0.679961 | + | 0.733248i | \(0.738003\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −0.147285 | − | 0.0709286i | −0.0116804 | − | 0.00562501i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −17.0975 | − | 0.916984i | −1.34747 | − | 0.0722685i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −13.2046 | − | 10.5303i | −1.03426 | − | 0.824799i | −0.0495147 | − | 0.998773i | \(-0.515767\pi\) |
−0.984750 | + | 0.173975i | \(0.944339\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0.0887443 | 0.00690874 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −19.7931 | − | 9.53184i | −1.53163 | − | 0.737596i | −0.537249 | − | 0.843423i | \(-0.680537\pi\) |
−0.994385 | + | 0.105827i | \(0.966251\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 0.327051 | − | 0.157499i | 0.0251578 | − | 0.0121153i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 1.07168 | − | 4.69532i | 0.0819532 | − | 0.359060i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 6.14205 | + | 12.7541i | 0.466971 | + | 0.969676i | 0.992878 | + | 0.119134i | \(0.0380117\pi\) |
−0.525907 | + | 0.850542i | \(0.676274\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −9.69101 | − | 8.61662i | −0.732572 | − | 0.651355i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 0.490967 | 0.0369033 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −1.65780 | + | 3.44246i | −0.123910 | + | 0.257301i | −0.953691 | − | 0.300787i | \(-0.902751\pi\) |
0.829782 | + | 0.558088i | \(0.188465\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −9.19256 | − | 2.09814i | −0.683278 | − | 0.155954i | −0.133228 | − | 0.991085i | \(-0.542534\pi\) |
−0.550050 | + | 0.835132i | \(0.685391\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −0.664364 | + | 0.151637i | −0.0491112 | + | 0.0112093i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −0.0214841 | + | 0.00490361i | −0.00157955 | + | 0.000360521i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 7.88195 | − | 34.5331i | 0.576386 | − | 2.52531i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0.0428413 | − | 0.798789i | 0.00311624 | − | 0.0581034i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 1.09167 | − | 0.870581i | 0.0789907 | − | 0.0629930i | −0.583198 | − | 0.812330i | \(-0.698199\pi\) |
0.662189 | + | 0.749337i | \(0.269628\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 8.85609 | + | 11.1052i | 0.637476 | + | 0.799369i | 0.990685 | − | 0.136175i | \(-0.0434810\pi\) |
−0.353209 | + | 0.935544i | \(0.614910\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −0.0578851 | −0.00414524 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −1.19948 | −0.0854596 | −0.0427298 | − | 0.999087i | \(-0.513605\pi\) | ||||
−0.0427298 | + | 0.999087i | \(0.513605\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 2.51775 | + | 3.15716i | 0.178478 | + | 0.223805i | 0.863021 | − | 0.505168i | \(-0.168569\pi\) |
−0.684543 | + | 0.728973i | \(0.739998\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 0.328084 | − | 0.261638i | 0.0231412 | − | 0.0184545i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −11.5870 | + | 8.26538i | −0.813249 | + | 0.580116i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −0.452031 | + | 1.98048i | −0.0315712 | + | 0.138322i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 18.9118 | − | 4.31648i | 1.31446 | − | 0.300016i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 8.77886 | − | 2.00372i | 0.607246 | − | 0.138600i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 5.43219 | + | 1.23986i | 0.373967 | + | 0.0853556i | 0.405374 | − | 0.914151i | \(-0.367141\pi\) |
−0.0314063 | + | 0.999507i | \(0.509999\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −0.0984757 | + | 0.204487i | −0.00674744 | + | 0.0140112i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −3.02503 | −0.206305 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −7.85360 | + | 14.2949i | −0.533137 | + | 0.970403i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 0.274180 | + | 0.569341i | 0.0185274 | + | 0.0384725i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −5.14115 | + | 22.5248i | −0.345831 | + | 1.51518i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −22.7167 | + | 10.9398i | −1.52122 | + | 0.732582i | −0.993175 | − | 0.116632i | \(-0.962790\pi\) |
−0.528048 | + | 0.849215i | \(0.677076\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 13.2366 | + | 6.37443i | 0.882442 | + | 0.424962i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 15.6441 | 1.03833 | 0.519167 | − | 0.854673i | \(-0.326242\pi\) | ||||
0.519167 | + | 0.854673i | \(0.326242\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −1.94344 | − | 1.54984i | −0.128426 | − | 0.102416i | 0.557170 | − | 0.830398i | \(-0.311887\pi\) |
−0.685596 | + | 0.727982i | \(0.740458\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0.689883 | − | 0.287796i | 0.0453910 | − | 0.0189356i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −0.873675 | − | 0.420740i | −0.0572363 | − | 0.0275636i | 0.405047 | − | 0.914296i | \(-0.367255\pi\) |
−0.462283 | + | 0.886732i | \(0.652970\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 1.57370 | + | 1.25499i | 0.102657 | + | 0.0818662i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −0.527344 | + | 0.420543i | −0.0342547 | + | 0.0273172i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 4.32086 | + | 3.44577i | 0.279493 | + | 0.222888i | 0.753196 | − | 0.657797i | \(-0.228511\pi\) |
−0.473703 | + | 0.880685i | \(0.657083\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −10.3182 | − | 21.4260i | −0.664654 | − | 1.38017i | −0.911576 | − | 0.411133i | \(-0.865133\pi\) |
0.246922 | − | 0.969035i | \(-0.420581\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 0.302541 | + | 1.32552i | 0.0194080 | + | 0.0850319i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 2.07898 | + | 0.715734i | 0.132821 | + | 0.0457266i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −5.72617 | + | 1.30696i | −0.364347 | + | 0.0831599i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 0.128661 | − | 0.0619598i | 0.00815355 | − | 0.00392654i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −4.65303 | + | 5.83471i | −0.293697 | + | 0.368284i | −0.906685 | − | 0.421808i | \(-0.861396\pi\) |
0.612989 | + | 0.790092i | \(0.289967\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 22.6132 | + | 28.3560i | 1.42168 | + | 1.78273i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 0.0623995 | − | 0.0782465i | 0.00390761 | − | 0.00489999i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 8.22978 | − | 17.0893i | 0.513360 | − | 1.06600i | −0.469719 | − | 0.882816i | \(-0.655645\pi\) |
0.983078 | − | 0.183186i | \(-0.0586410\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −0.151112 | + | 0.107793i | −0.00938962 | + | 0.00669790i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 10.0537 | − | 12.6070i | 0.622310 | − | 0.780352i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | − | 13.3186i | − | 0.821259i | −0.911802 | − | 0.410630i | \(-0.865309\pi\) | ||
0.911802 | − | 0.410630i | \(-0.134691\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −0.441934 | + | 0.917684i | −0.0271478 | + | 0.0563729i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −0.357394 | − | 0.742136i | −0.0218722 | − | 0.0454180i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −17.6670 | − | 4.03238i | −1.07718 | − | 0.245858i | −0.353105 | − | 0.935584i | \(-0.614874\pi\) |
−0.724071 | + | 0.689725i | \(0.757731\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 1.72373 | − | 0.830106i | 0.104709 | − | 0.0504253i | −0.380796 | − | 0.924659i | \(-0.624350\pi\) |
0.485505 | + | 0.874234i | \(0.338636\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −0.449988 | + | 0.187720i | −0.0272345 | + | 0.0113614i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 27.4689i | 1.65643i | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −15.5068 | − | 7.46767i | −0.931712 | − | 0.448689i | −0.0944739 | − | 0.995527i | \(-0.530117\pi\) |
−0.837238 | + | 0.546839i | \(0.815831\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 4.11183 | − | 18.0151i | 0.246169 | − | 1.07854i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 5.44966 | + | 23.8765i | 0.325099 | + | 1.42435i | 0.828349 | + | 0.560213i | \(0.189281\pi\) |
−0.503249 | + | 0.864141i | \(0.667862\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 2.72170 | + | 11.9245i | 0.161788 | + | 0.708840i | 0.989118 | + | 0.147124i | \(0.0470016\pi\) |
−0.827330 | + | 0.561716i | \(0.810141\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0.0248043 | + | 0.00566142i | 0.00146928 | + | 0.000335353i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 2.90864 | + | 16.8618i | 0.171692 | + | 0.995320i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −14.3066 | − | 17.9400i | −0.841568 | − | 1.05529i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −0.397771 | + | 0.317212i | −0.0233177 | + | 0.0185953i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | − | 22.0304i | − | 1.28703i | −0.765433 | − | 0.643516i | \(-0.777475\pi\) | ||
0.765433 | − | 0.643516i | \(-0.222525\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | − | 3.05906i | − | 0.178105i | ||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −1.32479 | + | 1.05648i | −0.0768719 | + | 0.0613033i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −14.7498 | − | 18.4957i | −0.853006 | − | 1.06964i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −23.5160 | + | 9.81011i | −1.35544 | + | 0.565445i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 0.800778 | + | 0.182772i | 0.0460035 | + | 0.0105000i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 0.944800 | + | 4.13944i | 0.0540991 | + | 0.237024i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 0.635114 | + | 2.78261i | 0.0362478 | + | 0.158812i | 0.989813 | − | 0.142376i | \(-0.0454741\pi\) |
−0.953565 | + | 0.301188i | \(0.902617\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0.0241172 | − | 0.105665i | 0.00137198 | − | 0.00601105i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −8.52819 | − | 4.10696i | −0.483590 | − | 0.232884i | 0.176172 | − | 0.984359i | \(-0.443628\pi\) |
−0.659762 | + | 0.751475i | \(0.729343\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | − | 3.85627i | − | 0.217969i | −0.994043 | − | 0.108985i | \(-0.965240\pi\) | ||
0.994043 | − | 0.108985i | \(-0.0347599\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −2.48744 | − | 0.133409i | −0.140152 | − | 0.00751672i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 1.62480 | − | 0.782464i | 0.0912581 | − | 0.0439476i | −0.387698 | − | 0.921786i | \(-0.626730\pi\) |
0.478956 | + | 0.877839i | \(0.341015\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 29.3929 | + | 6.70875i | 1.64569 | + | 0.375618i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 0.285908 | + | 0.593694i | 0.0159578 | + | 0.0331368i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 4.40606 | − | 9.14927i | 0.245160 | − | 0.509079i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | − | 17.9171i | − | 0.993859i | ||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 0.608534 | − | 0.763078i | 0.0336520 | − | 0.0421983i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 16.3036 | + | 4.65255i | 0.898846 | + | 0.256503i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 3.28550 | − | 6.82241i | 0.180587 | − | 0.374993i | −0.790950 | − | 0.611881i | \(-0.790413\pi\) |
0.971537 | + | 0.236888i | \(0.0761274\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 0.131115 | − | 0.164413i | 0.00718507 | − | 0.00900979i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −1.63018 | − | 2.04418i | −0.0890663 | − | 0.111686i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 16.4023 | − | 20.5678i | 0.893488 | − | 1.12040i | −0.0986336 | − | 0.995124i | \(-0.531447\pi\) |
0.992122 | − | 0.125275i | \(-0.0399814\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 0.299140 | − | 0.144058i | 0.0162471 | − | 0.00782418i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 33.6829 | − | 7.68791i | 1.82403 | − | 0.416324i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 18.4828 | − | 1.17811i | 0.997975 | − | 0.0636122i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0.0228030 | + | 0.0999064i | 0.00122767 | + | 0.00537878i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 11.6077 | + | 24.1035i | 0.623132 | + | 1.29395i | 0.938599 | + | 0.345010i | \(0.112124\pi\) |
−0.315468 | + | 0.948936i | \(0.602161\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 17.8354 | + | 14.2232i | 0.954705 | + | 0.761352i | 0.971139 | − | 0.238513i | \(-0.0766599\pi\) |
−0.0164340 | + | 0.999865i | \(0.505231\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0.864116 | − | 0.689109i | 0.0461231 | − | 0.0367819i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 3.74884 | + | 2.98960i | 0.199531 | + | 0.159120i | 0.718158 | − | 0.695880i | \(-0.244985\pi\) |
−0.518628 | + | 0.855000i | \(0.673557\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 1.27409 | + | 0.613570i | 0.0676218 | + | 0.0325649i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0.231331 | − | 0.810635i | 0.0122433 | − | 0.0429034i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 2.12333 | + | 1.69330i | 0.112065 | + | 0.0893687i | 0.677919 | − | 0.735137i | \(-0.262882\pi\) |
−0.565854 | + | 0.824505i | \(0.691453\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −16.4185 | −0.864129 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −0.926974 | − | 0.446407i | −0.0486535 | − | 0.0234303i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 3.54738 | − | 1.70833i | 0.185678 | − | 0.0894180i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −5.40776 | + | 23.6929i | −0.282283 | + | 1.23676i | 0.612576 | + | 0.790412i | \(0.290133\pi\) |
−0.894859 | + | 0.446350i | \(0.852724\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −8.41102 | − | 17.4657i | −0.437860 | − | 0.909226i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −0.459477 | + | 8.56710i | −0.0238549 | + | 0.444782i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 23.5459 | 1.21916 | 0.609579 | − | 0.792725i | \(-0.291339\pi\) | ||||
0.609579 | + | 0.792725i | \(0.291339\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −0.0680271 | + | 0.141260i | −0.00351290 | + | 0.00729462i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −19.1721 | − | 4.37590i | −0.987412 | − | 0.225370i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 23.2827 | − | 5.31412i | 1.19595 | − | 0.272968i | 0.422227 | − | 0.906490i | \(-0.361249\pi\) |
0.773724 | + | 0.633522i | \(0.218392\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −0.0122915 | + | 0.00280545i | −0.000629712 | + | 0.000143728i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −2.51827 | + | 11.0332i | −0.128677 | + | 0.563773i | 0.868948 | + | 0.494903i | \(0.164796\pi\) |
−0.997626 | + | 0.0688696i | \(0.978061\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −1.79317 | − | 4.29844i | −0.0913883 | − | 0.219069i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 22.5694 | − | 17.9985i | 1.14727 | − | 0.914916i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −0.0281478 | − | 0.0352962i | −0.00142715 | − | 0.00178959i | 0.781117 | − | 0.624384i | \(-0.214650\pi\) |
−0.782545 | + | 0.622595i | \(0.786079\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 40.9019 | 2.06850 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 0.617722 | 0.0311600 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 2.62027 | + | 3.28571i | 0.131840 | + | 0.165322i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 0.731118 | − | 0.583047i | 0.0366938 | − | 0.0292623i | −0.604971 | − | 0.796247i | \(-0.706815\pi\) |
0.641665 | + | 0.766985i | \(0.278244\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 0.211184 | − | 0.0364291i | 0.0105724 | − | 0.00182373i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 1.30442 | − | 5.71505i | 0.0651397 | − | 0.285396i | −0.931858 | − | 0.362822i | \(-0.881813\pi\) |
0.996998 | + | 0.0774265i | \(0.0246703\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −21.9703 | + | 5.01458i | −1.09442 | + | 0.249794i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 2.74907 | − | 0.627456i | 0.136602 | − | 0.0311786i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 0.383327 | + | 0.0874918i | 0.0190008 | + | 0.00433681i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −12.1269 | + | 25.1817i | −0.599636 | + | 1.24516i | 0.351444 | + | 0.936209i | \(0.385691\pi\) |
−0.951079 | + | 0.308947i | \(0.900023\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −0.00703173 | −0.000346850 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −9.92048 | − | 23.7806i | −0.488155 | − | 1.17017i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −0.386051 | − | 0.801644i | −0.0189505 | − | 0.0393512i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 0.0575776 | − | 0.252264i | 0.00281959 | − | 0.0123534i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −5.30090 | + | 2.55278i | −0.258966 | + | 0.124712i | −0.558863 | − | 0.829260i | \(-0.688762\pi\) |
0.299897 | + | 0.953972i | \(0.403048\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −14.1212 | − | 6.80042i | −0.688226 | − | 0.331432i | 0.0568775 | − | 0.998381i | \(-0.481886\pi\) |
−0.745103 | + | 0.666949i | \(0.767600\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −19.2082 | −0.933937 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 24.2195 | + | 19.3144i | 1.17482 | + | 0.936886i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 20.7689 | + | 29.1153i | 1.00508 | + | 1.40899i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 0.930524 | + | 0.448117i | 0.0449261 | + | 0.0216353i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −1.77844 | − | 1.41826i | −0.0856647 | − | 0.0683153i | 0.579721 | − | 0.814815i | \(-0.303162\pi\) |
−0.665386 | + | 0.746500i | \(0.731733\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 5.06413 | − | 4.03850i | 0.243366 | − | 0.194078i | −0.494209 | − | 0.869343i | \(-0.664542\pi\) |
0.737575 | + | 0.675265i | \(0.235971\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0.0665997 | + | 0.0531115i | 0.00319321 | + | 0.00254650i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 4.51148 | + | 9.36819i | 0.215813 | + | 0.448141i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 5.97649 | + | 26.1847i | 0.285242 | + | 1.24973i | 0.890972 | + | 0.454058i | \(0.150024\pi\) |
−0.605730 | + | 0.795670i | \(0.707119\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −19.7696 | + | 7.02965i | −0.941410 | + | 0.334745i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −22.1954 | + | 5.06596i | −1.05454 | + | 0.240691i | −0.714438 | − | 0.699699i | \(-0.753317\pi\) |
−0.340098 | + | 0.940390i | \(0.610460\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −4.62401 | + | 2.22681i | −0.219199 | + | 0.105561i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −0.288243 | + | 0.361446i | −0.0136334 | + | 0.0170958i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −10.9370 | − | 13.7146i | −0.516149 | − | 0.647230i | 0.453637 | − | 0.891186i | \(-0.350126\pi\) |
−0.969786 | + | 0.243956i | \(0.921555\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 22.5984 | − | 28.3375i | 1.06412 | − | 1.33436i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −0.252663 | + | 0.524659i | −0.0118711 | + | 0.0246507i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 1.16963 | + | 2.80373i | 0.0548329 | + | 0.131441i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −0.416580 | + | 0.522375i | −0.0194868 | + | 0.0244357i | −0.791479 | − | 0.611196i | \(-0.790689\pi\) |
0.771993 | + | 0.635631i | \(0.219260\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 1.91093i | 0.0891944i | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 5.30594 | − | 11.0179i | 0.247122 | − | 0.513155i | −0.740101 | − | 0.672495i | \(-0.765223\pi\) |
0.987224 | + | 0.159341i | \(0.0509368\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −6.57127 | − | 13.6454i | −0.305393 | − | 0.634155i | 0.690634 | − | 0.723204i | \(-0.257331\pi\) |
−0.996027 | + | 0.0890491i | \(0.971617\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0.0951696 | + | 0.0217219i | 0.00441339 | + | 0.00100733i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 26.3418 | − | 12.6855i | 1.21895 | − | 0.587017i | 0.289934 | − | 0.957047i | \(-0.406367\pi\) |
0.929020 | + | 0.370030i | \(0.120653\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −19.3020 | − | 10.6045i | −0.891284 | − | 0.489669i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 0.0940451i | 0.00433337i | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 48.6284 | + | 23.4182i | 2.23594 | + | 1.07677i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −1.75237 | + | 7.67762i | −0.0804041 | + | 0.352274i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −2.16288 | − | 9.47620i | −0.0990315 | − | 0.433885i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 4.61410 | + | 20.2157i | 0.210823 | + | 0.923678i | 0.964009 | + | 0.265870i | \(0.0856591\pi\) |
−0.753185 | + | 0.657808i | \(0.771484\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −0.250032 | − | 0.0570681i | −0.0114005 | − | 0.00260208i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 0.501261 | + | 0.702705i | 0.0228082 | + | 0.0319742i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 1.97644 | + | 2.47838i | 0.0897457 | + | 0.112538i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 5.73711 | − | 4.57519i | 0.259973 | − | 0.207322i | −0.484825 | − | 0.874611i | \(-0.661117\pi\) |
0.744799 | + | 0.667289i | \(0.232545\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 0.851436i | 0.0385033i | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 21.0768i | 0.951183i | 0.879666 | + | 0.475592i | \(0.157766\pi\) | ||||
−0.879666 | + | 0.475592i | \(0.842234\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 26.5824 | − | 21.1988i | 1.19721 | − | 0.954745i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 3.28991 | + | 4.12541i | 0.147870 | + | 0.185423i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 11.8944 | + | 0.637928i | 0.533535 | + | 0.0286150i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −40.5858 | − | 9.26345i | −1.81687 | − | 0.414689i | −0.827666 | − | 0.561221i | \(-0.810332\pi\) |
−0.989206 | + | 0.146532i | \(0.953189\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 0.246442 | + | 1.07973i | 0.0110102 | + | 0.0482388i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 7.56847 | + | 33.1596i | 0.337461 | + | 1.47851i | 0.804327 | + | 0.594186i | \(0.202526\pi\) |
−0.466866 | + | 0.884328i | \(0.654617\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 1.13880 | − | 4.98939i | 0.0506757 | − | 0.222025i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −0.0164875 | − | 0.00793996i | −0.000732236 | − | 0.000352626i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 3.07456i | 0.136277i | 0.997676 | + | 0.0681386i | \(0.0217060\pi\) | ||||
−0.997676 | + | 0.0681386i | \(0.978294\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 22.0366 | − | 24.7844i | 0.974843 | − | 1.09640i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −0.437680 | + | 0.210775i | −0.0193240 | + | 0.00930596i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −0.658362 | − | 0.150267i | −0.0290109 | − | 0.00662155i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −15.5824 | − | 32.3571i | −0.685312 | − | 1.42307i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0.309637 | − | 0.642968i | 0.0135916 | − | 0.0282232i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 18.5548i | 0.812899i | 0.913673 | + | 0.406450i | \(0.133233\pi\) | ||||
−0.913673 | + | 0.406450i | \(0.866767\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −1.40143 | + | 1.75733i | −0.0612800 | + | 0.0768427i | −0.811527 | − | 0.584315i | \(-0.801363\pi\) |
0.750247 | + | 0.661158i | \(0.229935\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −0.0350114 | + | 0.652799i | −0.00152802 | + | 0.0284905i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 16.9053 | − | 35.1041i | 0.736405 | − | 1.52916i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −11.7718 | + | 14.7614i | −0.511819 | + | 0.641800i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 18.2010 | + | 22.8233i | 0.789856 | + | 0.990448i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −14.7402 | + | 18.4836i | −0.638469 | + | 0.800615i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 3.69911 | − | 1.78140i | 0.159927 | − | 0.0770166i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 0.187789 | − | 0.0428617i | 0.00810371 | − | 0.00184962i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −27.8795 | − | 27.6001i | −1.20086 | − | 1.18882i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −0.0237085 | − | 0.103874i | −0.00101931 | − | 0.00446589i | 0.974416 | − | 0.224753i | \(-0.0721576\pi\) |
−0.975435 | + | 0.220287i | \(0.929300\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 0.206242 | + | 0.428266i | 0.00885069 | + | 0.0183786i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −4.75449 | − | 3.79158i | −0.203660 | − | 0.162414i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 12.6122 | − | 10.0579i | 0.539260 | − | 0.430046i | −0.315609 | − | 0.948889i | \(-0.602209\pi\) |
0.854869 | + | 0.518844i | \(0.173637\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −31.6782 | − | 25.2625i | −1.35199 | − | 1.07818i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 7.78743 | + | 3.75023i | 0.331756 | + | 0.159765i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 31.0250 | + | 17.0451i | 1.31932 | + | 0.724829i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 0.000868557 | 0 | 0.000692651i | 3.68682e−5 | 0 | 2.94014e-5i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 8.94717 | 0.379104 | 0.189552 | − | 0.981871i | \(-0.439296\pi\) | ||||
0.189552 | + | 0.981871i | \(0.439296\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −31.7187 | − | 15.2749i | −1.34156 | − | 0.646061i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −1.60884 | + | 0.774776i | −0.0679252 | + | 0.0327111i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 3.52247 | − | 15.4330i | 0.148455 | − | 0.650422i | −0.844860 | − | 0.534987i | \(-0.820317\pi\) |
0.993315 | − | 0.115435i | \(-0.0368262\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −0.897581 | − | 1.86385i | −0.0377615 | − | 0.0784126i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 19.3359 | − | 13.7929i | 0.812033 | − | 0.579248i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 9.18723 | 0.385149 | 0.192574 | − | 0.981282i | \(-0.438316\pi\) | ||||
0.192574 | + | 0.981282i | \(0.438316\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 2.00162 | − | 4.15641i | 0.0837653 | − | 0.173940i | −0.854879 | − | 0.518828i | \(-0.826369\pi\) |
0.938644 | + | 0.344887i | \(0.112083\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −0.0686265 | − | 0.0156635i | −0.00286691 | − | 0.000654354i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −30.9238 | + | 7.05816i | −1.28961 | + | 0.294346i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −10.1259 | + | 2.31117i | −0.421546 | + | 0.0962152i | −0.428032 | − | 0.903764i | \(-0.640793\pi\) |
0.00648530 | + | 0.999979i | \(0.497936\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 0.159339 | − | 0.698112i | 0.00662192 | − | 0.0290125i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −5.60081 | − | 4.97988i | −0.232361 | − | 0.206600i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 14.2085 | − | 11.3309i | 0.588455 | − | 0.469277i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −2.14590 | − | 2.69087i | −0.0887220 | − | 0.111254i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −21.7003 | −0.895666 | −0.447833 | − | 0.894117i | \(-0.647804\pi\) | ||||
−0.447833 | + | 0.894117i | \(0.647804\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 9.90492 | 0.408125 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 0.0377019 | + | 0.0472767i | 0.00155085 | + | 0.00194470i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −0.129136 | + | 0.102983i | −0.00530299 | + | 0.00422900i | −0.626138 | − | 0.779712i | \(-0.715365\pi\) |
0.620835 | + | 0.783941i | \(0.286794\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −5.05081 | − | 1.44135i | −0.207063 | − | 0.0590894i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 0.0452995 | − | 0.198470i | 0.00185399 | − | 0.00812284i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −11.8101 | + | 2.69558i | −0.482548 | + | 0.110138i | −0.456873 | − | 0.889532i | \(-0.651031\pi\) |
−0.0256749 | + | 0.999670i | \(0.508173\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 5.42057 | − | 1.23721i | 0.221110 | − | 0.0504669i | −0.110531 | − | 0.993873i | \(-0.535255\pi\) |
0.331641 | + | 0.943406i | \(0.392398\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 24.3253 | + | 5.55208i | 0.990601 | + | 0.226098i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −2.78142 | + | 5.77568i | −0.113081 | + | 0.234815i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −15.9049 | −0.645561 | −0.322781 | − | 0.946474i | \(-0.604618\pi\) | ||||
−0.322781 | + | 0.946474i | \(0.604618\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0.689974 | + | 0.196898i | 0.0279592 | + | 0.00797869i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 10.1639 | + | 21.1055i | 0.411187 | + | 0.853838i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 9.44921 | − | 41.3997i | 0.381650 | − | 1.67212i | −0.310663 | − | 0.950520i | \(-0.600551\pi\) |
0.692313 | − | 0.721598i | \(-0.256592\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 0.0922670 | − | 0.0444334i | 0.00372056 | − | 0.00179173i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −2.36694 | − | 1.13986i | −0.0952892 | − | 0.0458889i | 0.385632 | − | 0.922653i | \(-0.373983\pi\) |
−0.480921 | + | 0.876764i | \(0.659698\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −31.0549 | −1.24820 | −0.624100 | − | 0.781344i | \(-0.714534\pi\) | ||||
−0.624100 | + | 0.781344i | \(0.714534\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −1.52977 | − | 1.21995i | −0.0613876 | − | 0.0489550i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −28.7248 | + | 32.3064i | −1.15083 | + | 1.29433i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −21.1996 | − | 10.2092i | −0.847985 | − | 0.408368i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −0.354910 | − | 0.283031i | −0.0141737 | − | 0.0113032i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 0.346674 | − | 0.276463i | 0.0138228 | − | 0.0110233i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −26.4409 | − | 21.0859i | −1.05259 | − | 0.839416i | −0.0652280 | − | 0.997870i | \(-0.520777\pi\) |
−0.987366 | + | 0.158454i | \(0.949349\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −0.121875 | − | 0.253077i | −0.00484411 | − | 0.0100589i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 0.0174799 | + | 0.0765843i | 0.000693668 | + | 0.00303916i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 18.1849 | + | 18.0027i | 0.720513 | + | 0.713291i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −13.1565 | + | 3.00289i | −0.520465 | + | 0.118793i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −9.36480 | + | 4.50985i | −0.369887 | + | 0.178128i | −0.609588 | − | 0.792719i | \(-0.708665\pi\) |
0.239700 | + | 0.970847i | \(0.422951\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −12.8331 | + | 16.0922i | −0.506089 | + | 0.634616i | −0.967591 | − | 0.252524i | \(-0.918739\pi\) |
0.461502 | + | 0.887139i | \(0.347311\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0.0950820 | + | 0.119229i | 0.00374385 | + | 0.00469464i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −25.2828 | + | 31.7036i | −0.993969 | + | 1.24640i | −0.0248784 | + | 0.999690i | \(0.507920\pi\) |
−0.969090 | + | 0.246707i | \(0.920652\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −23.6817 | + | 49.1755i | −0.929586 | + | 1.93031i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0.810276 | − | 0.139772i | 0.0317572 | − | 0.00547809i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −8.60685 | + | 10.7927i | −0.336812 | + | 0.422349i | −0.921178 | − | 0.389141i | \(-0.872772\pi\) |
0.584366 | + | 0.811490i | \(0.301343\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | − | 3.84883i | − | 0.150386i | ||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −16.3023 | + | 33.8521i | −0.636015 | + | 1.32070i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 14.3786 | + | 29.8575i | 0.560112 | + | 1.16308i | 0.968208 | + | 0.250145i | \(0.0804784\pi\) |
−0.408097 | + | 0.912939i | \(0.633807\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 19.2715 | + | 4.39860i | 0.749576 | + | 0.171086i | 0.580209 | − | 0.814467i | \(-0.302971\pi\) |
0.169366 | + | 0.985553i | \(0.445828\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 1.04939 | − | 0.505361i | 0.0407551 | − | 0.0196266i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −0.226978 | − | 1.31582i | −0.00880182 | − | 0.0510253i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 34.8137i | 1.34799i | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 1.14521 | + | 0.551504i | 0.0442764 | + | 0.0213224i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 16.8574 | − | 73.8572i | 0.650773 | − | 2.85122i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 2.73446 | + | 11.9805i | 0.105406 | + | 0.461813i | 0.999892 | + | 0.0147168i | \(0.00468468\pi\) |
−0.894486 | + | 0.447096i | \(0.852458\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −0.329756 | − | 1.44475i | −0.0126923 | − | 0.0556086i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −37.2628 | − | 8.50500i | −1.43213 | − | 0.326874i | −0.565053 | − | 0.825054i | \(-0.691144\pi\) |
−0.867073 | + | 0.498181i | \(0.834002\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 23.4019 | + | 12.8569i | 0.898082 | + | 0.493404i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −0.491721 | − | 0.616599i | −0.0188428 | − | 0.0236281i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 7.11436 | − | 5.67352i | 0.272224 | − | 0.217091i | −0.477857 | − | 0.878438i | \(-0.658586\pi\) |
0.750080 | + | 0.661347i | \(0.230015\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 0.0438124i | 0.00167399i | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 0.125313i | 0.00478100i | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −9.26774 | + | 7.39077i | −0.353073 | + | 0.281566i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −25.3483 | − | 31.7858i | −0.964296 | − | 1.20919i | −0.977855 | − | 0.209281i | \(-0.932888\pi\) |
0.0135591 | − | 0.999908i | \(-0.495684\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 38.9538 | + | 21.4011i | 1.47973 | + | 0.812961i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −1.57178 | − | 0.358747i | −0.0596208 | − | 0.0136081i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −9.09557 | − | 39.8503i | −0.344519 | − | 1.50944i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 0.0108780 | + | 0.0476598i | 0.000411445 | + | 0.00180266i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −0.218861 | + | 0.958894i | −0.00826628 | + | 0.0362169i | −0.978893 | − | 0.204374i | \(-0.934484\pi\) |
0.970627 | + | 0.240591i | \(0.0773413\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 0.101559 | + | 0.0489084i | 0.00383038 | + | 0.00184462i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | − | 0.101473i | − | 0.00382168i | ||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −7.32771 | − | 42.4797i | −0.275587 | − | 1.59761i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 14.3106 | − | 6.89160i | 0.537444 | − | 0.258820i | −0.145413 | − | 0.989371i | \(-0.546451\pi\) |
0.682858 | + | 0.730551i | \(0.260737\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −39.0991 | − | 8.92411i | −1.46633 | − | 0.334680i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 17.3098 | + | 35.9441i | 0.648255 | + | 1.34612i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 2.79207 | − | 5.79779i | 0.104417 | − | 0.216825i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | − | 0.278610i | − | 0.0104049i | ||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 12.9657 | − | 16.2585i | 0.483540 | − | 0.606340i | −0.478889 | − | 0.877876i | \(-0.658960\pi\) |
0.962428 | + | 0.271536i | \(0.0875317\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −5.60530 | + | 0.966909i | −0.208752 | + | 0.0360096i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −0.520168 | + | 1.08014i | −0.0193453 | + | 0.0401708i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −16.4395 | + | 20.6145i | −0.610548 | + | 0.765602i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −23.5326 | − | 29.5089i | −0.872775 | − | 1.09443i | −0.994795 | − | 0.101898i | \(-0.967509\pi\) |
0.122020 | − | 0.992528i | \(-0.461063\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −16.7487 | + | 21.0022i | −0.620323 | + | 0.777860i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 54.8405 | − | 26.4098i | 2.02835 | − | 0.976801i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 1.61153 | − | 0.367821i | 0.0595232 | − | 0.0135858i | −0.192656 | − | 0.981266i | \(-0.561710\pi\) |
0.252179 | + | 0.967681i | \(0.418853\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −0.0371360 | − | 0.104438i | −0.00136978 | − | 0.00385226i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 10.3807 | + | 45.4810i | 0.382380 | + | 1.67531i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −0.0706938 | − | 0.146797i | −0.00260051 | − | 0.00540002i | 0.899665 | − | 0.436582i | \(-0.143811\pi\) |
−0.902265 | + | 0.431182i | \(0.858097\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0.231497 | + | 0.184612i | 0.00850424 | + | 0.00678190i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −19.5359 | + | 15.5794i | −0.716704 | + | 0.571553i | −0.912492 | − | 0.409094i | \(-0.865845\pi\) |
0.195788 | + | 0.980646i | \(0.437274\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 2.25205 | + | 1.79595i | 0.0825088 | + | 0.0657986i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 7.64997 | + | 3.68403i | 0.279898 | + | 0.134792i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 22.9792 | − | 25.8445i | 0.839642 | − | 0.944336i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 40.5585 | + | 32.3444i | 1.48000 | + | 1.18026i | 0.941209 | + | 0.337824i | \(0.109691\pi\) |
0.538793 | + | 0.842438i | \(0.318880\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 0.376224 | 0.0137103 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 3.26898 | + | 1.57426i | 0.118971 | + | 0.0572932i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −5.97197 | + | 2.87595i | −0.217055 | + | 0.104528i | −0.539252 | − | 0.842145i | \(-0.681293\pi\) |
0.322197 | + | 0.946673i | \(0.395579\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 0.406858 | − | 1.78256i | 0.0147680 | − | 0.0647028i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −13.2484 | − | 27.5106i | −0.480254 | − | 0.997257i | −0.990536 | − | 0.137250i | \(-0.956174\pi\) |
0.510283 | − | 0.860007i | \(-0.329541\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −49.2566 | − | 14.0563i | −1.78321 | − | 0.508874i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 5.95066 | 0.215147 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 15.4468 | − | 32.0756i | 0.557751 | − | 1.15818i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −15.9284 | − | 3.63556i | −0.574394 | − | 0.131102i | −0.0745503 | − | 0.997217i | \(-0.523752\pi\) |
−0.499844 | + | 0.866116i | \(0.666609\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −0.932238 | + | 0.212777i | −0.0335737 | + | 0.00766299i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −6.22545 | + | 1.42092i | −0.223914 | + | 0.0511069i | −0.333006 | − | 0.942925i | \(-0.608063\pi\) |
0.109092 | + | 0.994032i | \(0.465206\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −6.72352 | + | 29.4577i | −0.241516 | + | 1.05815i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 0.00899827 | + | 0.00256783i | 0.000322811 | + | 9.21204e-5i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 8.12409 | − | 6.47875i | 0.291076 | − | 0.232125i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −15.7315 | − | 19.7267i | −0.562919 | − | 0.705878i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −1.62649 | −0.0581260 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 0.585965 | 0.0209140 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −17.7022 | − | 22.1979i | −0.631017 | − | 0.791270i | 0.358831 | − | 0.933403i | \(-0.383175\pi\) |
−0.989848 | + | 0.142133i | \(0.954604\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −0.524942 | + | 0.418627i | −0.0186884 | + | 0.0149035i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −13.0221 | − | 11.5784i | −0.463011 | − | 0.411680i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −10.9956 | + | 48.1747i | −0.390463 | + | 1.71073i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 0.0500606 | − | 0.0114260i | 0.00177547 | − | 0.000405238i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 20.0487 | − | 4.57599i | 0.710162 | − | 0.162090i | 0.147844 | − | 0.989011i | \(-0.452767\pi\) |
0.562318 | + | 0.826921i | \(0.309910\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −39.4861 | − | 9.01244i | −1.39692 | − | 0.318837i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 21.2501 | − | 44.1263i | 0.750835 | − | 1.55913i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −70.2504 | −2.47908 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 4.37833 | − | 3.12320i | 0.154316 | − | 0.110078i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 0.396372 | + | 0.823076i | 0.0139530 | + | 0.0289736i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 0.240503 | − | 1.05371i | 0.00845563 | − | 0.0370465i | −0.970524 | − | 0.241004i | \(-0.922523\pi\) |
0.978980 | + | 0.203957i | \(0.0653804\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 27.2502 | − | 13.1230i | 0.956885 | − | 0.460812i | 0.110790 | − | 0.993844i | \(-0.464662\pi\) |
0.846095 | + | 0.533032i | \(0.178948\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −0.0868979 | − | 0.0418478i | −0.00304764 | − | 0.00146767i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 5.30502 | 0.185827 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 12.0978 | + | 9.64769i | 0.423249 | + | 0.337530i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −25.4083 | − | 13.9593i | −0.887838 | − | 0.487776i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −46.5733 | − | 22.4285i | −1.62542 | − | 0.782761i | −0.999997 | − | 0.00247511i | \(-0.999212\pi\) |
−0.625423 | − | 0.780286i | \(-0.715074\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 0.641606 | + | 0.511664i | 0.0223650 | + | 0.0178355i | 0.634609 | − | 0.772834i | \(-0.281161\pi\) |
−0.612244 | + | 0.790669i | \(0.709733\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 1.08266 | − | 0.863395i | 0.0376935 | − | 0.0300596i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −8.03129 | − | 6.40474i | −0.279275 | − | 0.222715i | 0.473827 | − | 0.880618i | \(-0.342872\pi\) |
−0.753102 | + | 0.657903i | \(0.771444\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 13.2908 | + | 27.5986i | 0.461608 | + | 0.958540i | 0.993723 | + | 0.111867i | \(0.0356832\pi\) |
−0.532115 | + | 0.846672i | \(0.678603\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 0.193073 | + | 0.845910i | 0.00669764 | + | 0.0293443i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −43.9383 | + | 5.17491i | −1.52237 | + | 0.179300i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 6.72746 | − | 1.53550i | 0.232813 | − | 0.0531381i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −1.67930 | + | 0.808708i | −0.0580451 | + | 0.0279530i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −26.4827 | + | 33.2082i | −0.914283 | + | 1.14647i | 0.0745162 | + | 0.997220i | \(0.476259\pi\) |
−0.988799 | + | 0.149254i | \(0.952313\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −0.0378030 | − | 0.0474035i | −0.00130355 | − | 0.00163460i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 0.769782 | − | 0.965276i | 0.0265127 | − | 0.0332459i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −0.0494714 | + | 0.102728i | −0.00170187 | + | 0.00353396i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −2.89184 | + | 53.9192i | −0.0993647 | + | 1.85269i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 0.384448 | − | 0.482083i | 0.0131942 | − | 0.0165450i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 0.454022i | 0.0155637i | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −18.1125 | + | 37.6109i | −0.620159 | + | 1.28777i | 0.320123 | + | 0.947376i | \(0.396276\pi\) |
−0.940282 | + | 0.340397i | \(0.889438\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0.656359 | + | 1.36294i | 0.0224470 | + | 0.0466117i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 44.3935 | + | 10.1325i | 1.51645 | + | 0.346120i | 0.898104 | − | 0.439783i | \(-0.144945\pi\) |
0.618349 | + | 0.785904i | \(0.287802\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 24.4278 | − | 11.7638i | 0.833466 | − | 0.401376i | 0.0320521 | − | 0.999486i | \(-0.489796\pi\) |
0.801414 | + | 0.598110i | \(0.204081\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 0.573170 | − | 0.644638i | 0.0195336 | − | 0.0219692i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 11.6599i | 0.396909i | 0.980110 | + | 0.198455i | \(0.0635922\pi\) | ||||
−0.980110 | + | 0.198455i | \(0.936408\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −4.00612 | − | 1.92925i | −0.136212 | − | 0.0655964i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −0.257406 | + | 1.12777i | −0.00874197 | + | 0.0383011i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −16.6854 | − | 73.1037i | −0.566015 | − | 2.47987i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −6.77103 | − | 29.6658i | −0.229428 | − | 1.00519i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −29.4921 | − | 6.73138i | −0.998156 | − | 0.227823i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 8.21664 | + | 0.440681i | 0.277773 | + | 0.0148977i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −16.9222 | − | 21.2198i | −0.571423 | − | 0.716542i | 0.409201 | − | 0.912444i | \(-0.365808\pi\) |
−0.980623 | + | 0.195903i | \(0.937236\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −0.868312 | + | 0.692456i | −0.0292874 | + | 0.0233560i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | − | 11.5301i | − | 0.388457i | −0.980956 | − | 0.194229i | \(-0.937780\pi\) | ||
0.980956 | − | 0.194229i | \(-0.0622204\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 39.0945i | 1.31563i | 0.753178 | + | 0.657817i | \(0.228520\pi\) | ||||
−0.753178 | + | 0.657817i | \(0.771480\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −0.120570 | + | 0.0961516i | −0.00405293 | + | 0.00323210i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 5.76733 | + | 7.23200i | 0.193648 | + | 0.242827i | 0.869171 | − | 0.494512i | \(-0.164653\pi\) |
−0.675523 | + | 0.737339i | \(0.736082\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 0.384247 | + | 0.538666i | 0.0128872 | + | 0.0180663i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −49.0497 | − | 11.1953i | −1.64323 | − | 0.375056i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −2.29111 | − | 10.0380i | −0.0766689 | − | 0.335908i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −0.267057 | − | 1.17005i | −0.00892674 | − | 0.0391106i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −0.265380 | + | 1.16271i | −0.00886079 | + | 0.0388217i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 29.8790 | + | 14.3890i | 0.996520 | + | 0.479899i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | − | 20.4949i | − | 0.682784i | ||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 1.12581 | + | 0.618516i | 0.0374646 | + | 0.0205829i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 2.66839 | − | 1.28503i | 0.0887002 | − | 0.0427157i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −13.7819 | − | 3.14563i | −0.457621 | − | 0.104449i | −0.0125046 | − | 0.999922i | \(-0.503980\pi\) |
−0.445116 | + | 0.895473i | \(0.646838\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 21.1898 | + | 44.0010i | 0.702821 | + | 1.45942i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 2.62723 | − | 5.45551i | 0.0870441 | − | 0.180749i | −0.852903 | − | 0.522070i | \(-0.825160\pi\) |
0.939947 | + | 0.341321i | \(0.110874\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 15.8753i | 0.525397i | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 0.133456 | − | 0.167349i | 0.00441192 | − | 0.00553237i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −12.4817 | − | 29.9201i | −0.412182 | − | 0.988050i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 14.7113 | − | 30.5482i | 0.485279 | − | 1.00769i | −0.504276 | − | 0.863542i | \(-0.668241\pi\) |
0.989556 | − | 0.144151i | \(-0.0460450\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 0.0897118 | − | 0.112495i | 0.00295610 | − | 0.00370684i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 10.2612 | + | 12.8671i | 0.337751 | + | 0.423526i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −0.214395 | + | 0.268843i | −0.00704926 | + | 0.00883949i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 5.80604 | − | 2.79604i | 0.190695 | − | 0.0918341i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −4.01269 | + | 0.915869i | −0.131652 | + | 0.0300487i | −0.287839 | − | 0.957679i | \(-0.592937\pi\) |
0.156187 | + | 0.987727i | \(0.450080\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −6.03167 | − | 9.49287i | −0.197680 | − | 0.311116i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 0.106184 | + | 0.465221i | 0.00347630 | + | 0.0152307i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 4.82738 | + | 10.0242i | 0.157872 | + | 0.327825i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 44.4091 | + | 35.4151i | 1.45078 | + | 1.15696i | 0.957986 | + | 0.286815i | \(0.0925965\pi\) |
0.492796 | + | 0.870145i | \(0.335975\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −0.151992 | + | 0.121209i | −0.00496006 | + | 0.00395552i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 18.1740 | + | 14.4933i | 0.592454 | + | 0.472466i | 0.873231 | − | 0.487307i | \(-0.162021\pi\) |
−0.280777 | + | 0.959773i | \(0.590592\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 37.7084 | + | 18.1594i | 1.22795 | + | 0.591351i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0.145915 | + | 0.204555i | 0.00474662 | + | 0.00665416i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −37.0550 | − | 29.5504i | −1.20412 | − | 0.960258i | −0.204299 | − | 0.978909i | \(-0.565491\pi\) |
−0.999826 | + | 0.0186511i | \(0.994063\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 45.8221 | 1.48745 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −0.0819107 | − | 0.0394461i | −0.00265614 | − | 0.00127913i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 7.97101 | − | 3.83864i | 0.258206 | − | 0.124346i | −0.300303 | − | 0.953844i | \(-0.597088\pi\) |
0.558509 | + | 0.829498i | \(0.311373\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −0.0975945 | + | 0.427590i | −0.00315808 | + | 0.0138365i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −0.659452 | − | 1.36937i | −0.0213171 | − | 0.0442654i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 0.142083 | + | 0.340590i | 0.00458810 | + | 0.0109982i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 7.00342 | 0.225917 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −16.9996 | + | 35.3001i | −0.547806 | + | 1.13753i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −4.34971 | − | 0.992793i | −0.140022 | − | 0.0319591i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 25.0464 | − | 5.71668i | 0.805438 | − | 0.183836i | 0.200070 | − | 0.979782i | \(-0.435883\pi\) |
0.605368 | + | 0.795946i | \(0.293026\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −0.499102 | + | 0.113917i | −0.0160335 | + | 0.00365953i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 4.81406 | − | 21.0918i | 0.154490 | − | 0.676867i | −0.837056 | − | 0.547117i | \(-0.815725\pi\) |
0.991547 | − | 0.129750i | \(-0.0414175\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −13.3821 | + | 2.30840i | −0.429011 | + | 0.0740040i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −0.706187 | + | 0.563165i | −0.0226161 | + | 0.0180357i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 14.7340 | + | 18.4758i | 0.471381 | + | 0.591093i | 0.959509 | − | 0.281679i | \(-0.0908914\pi\) |
−0.488128 | + | 0.872772i | \(0.662320\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 91.5715 | 2.92664 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 58.0322 | 1.85283 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 1.70683 | + | 2.14029i | 0.0544393 | + | 0.0682648i | 0.808306 | − | 0.588763i | \(-0.200385\pi\) |
−0.753866 | + | 0.657028i | \(0.771813\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 0.294566 | − | 0.234908i | 0.00938564 | − | 0.00748480i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −0.329074 | − | 0.788831i | −0.0104746 | − | 0.0251088i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −13.8686 | + | 60.7621i | −0.440994 | + | 1.93212i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −4.17217 | + | 0.952270i | −0.132533 | + | 0.0302498i | −0.288273 | − | 0.957548i | \(-0.593081\pi\) |
0.155740 | + | 0.987798i | \(0.450224\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −0.372169 | + | 0.0849451i | −0.0118104 | + | 0.00269565i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −1.23660 | − | 0.282247i | −0.0392030 | − | 0.00894782i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −5.43635 | + | 11.2887i | −0.172171 | + | 0.357517i | −0.969143 | − | 0.246500i | \(-0.920720\pi\) |
0.796972 | + | 0.604016i | \(0.206434\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −0.0212118 | −0.000671111 |
(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 | 784.2.bb.b.111.10 | ✓ | 120 | |
4.3 | odd | 2 | inner | 784.2.bb.b.111.11 | yes | 120 | |
49.34 | odd | 14 | inner | 784.2.bb.b.671.11 | yes | 120 | |
196.83 | even | 14 | inner | 784.2.bb.b.671.10 | yes | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
784.2.bb.b.111.10 | ✓ | 120 | 1.1 | even | 1 | trivial | |
784.2.bb.b.111.11 | yes | 120 | 4.3 | odd | 2 | inner | |
784.2.bb.b.671.10 | yes | 120 | 196.83 | even | 14 | inner | |
784.2.bb.b.671.11 | yes | 120 | 49.34 | odd | 14 | inner |