Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [864,2,Mod(97,864)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(864, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("864.97");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 864 = 2^{5} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 864.y (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.89907473464\) |
Analytic rank: | \(0\) |
Dimension: | \(54\) |
Relative dimension: | \(9\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 97.1 | ||
Character | \(\chi\) | \(=\) | 864.97 |
Dual form | 864.2.y.c.481.1 |
$q$-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 \(\left(\mathbb{Z}/864\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(353\) | \(703\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{9}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −1.64243 | − | 0.549936i | −0.948256 | − | 0.317506i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 3.46982 | + | 1.26291i | 1.55175 | + | 0.564792i | 0.968828 | − | 0.247735i | \(-0.0796862\pi\) |
0.582924 | + | 0.812526i | \(0.301908\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.136240 | + | 0.772655i | −0.0514939 | + | 0.292036i | −0.999669 | − | 0.0257107i | \(-0.991815\pi\) |
0.948176 | + | 0.317747i | \(0.102926\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 2.39514 | + | 1.80646i | 0.798380 | + | 0.602153i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 2.62684 | − | 0.956091i | 0.792022 | − | 0.288272i | 0.0858456 | − | 0.996308i | \(-0.472641\pi\) |
0.706176 | + | 0.708036i | \(0.250419\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.82171 | + | 1.52860i | −0.505253 | + | 0.423957i | −0.859455 | − | 0.511212i | \(-0.829197\pi\) |
0.354202 | + | 0.935169i | \(0.384752\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −5.00441 | − | 3.98242i | −1.29213 | − | 1.02826i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 1.40662 | + | 2.43633i | 0.341155 | + | 0.590897i | 0.984647 | − | 0.174555i | \(-0.0558487\pi\) |
−0.643493 | + | 0.765452i | \(0.722515\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.63600 | + | 2.83364i | −0.375325 | + | 0.650082i | −0.990376 | − | 0.138405i | \(-0.955802\pi\) |
0.615050 | + | 0.788488i | \(0.289136\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0.648675 | − | 1.19411i | 0.141553 | − | 0.260576i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −0.199921 | − | 1.13381i | −0.0416863 | − | 0.236415i | 0.956845 | − | 0.290600i | \(-0.0938550\pi\) |
−0.998531 | + | 0.0541853i | \(0.982744\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 6.61450 | + | 5.55023i | 1.32290 | + | 1.11005i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −2.94041 | − | 4.28416i | −0.565882 | − | 0.824486i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −3.27035 | − | 2.74415i | −0.607288 | − | 0.509575i | 0.286491 | − | 0.958083i | \(-0.407511\pi\) |
−0.893779 | + | 0.448508i | \(0.851956\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.17254 | + | 6.64983i | 0.210595 | + | 1.19434i | 0.888389 | + | 0.459092i | \(0.151825\pi\) |
−0.677793 | + | 0.735252i | \(0.737064\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −4.84018 | + | 0.125718i | −0.842568 | + | 0.0218847i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −1.44852 | + | 2.50892i | −0.244845 | + | 0.424085i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −4.74640 | − | 8.22100i | −0.780303 | − | 1.35152i | −0.931765 | − | 0.363062i | \(-0.881731\pi\) |
0.151462 | − | 0.988463i | \(-0.451602\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 3.83267 | − | 1.50879i | 0.613718 | − | 0.241600i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −4.24300 | + | 3.56030i | −0.662645 | + | 0.556025i | −0.910878 | − | 0.412675i | \(-0.864594\pi\) |
0.248233 | + | 0.968700i | \(0.420150\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 7.82509 | − | 2.84810i | 1.19331 | − | 0.434331i | 0.332428 | − | 0.943129i | \(-0.392132\pi\) |
0.860886 | + | 0.508798i | \(0.169910\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 6.02931 | + | 9.29295i | 0.898797 | + | 1.38531i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −2.04415 | + | 11.5930i | −0.298170 | + | 1.69101i | 0.355859 | + | 0.934539i | \(0.384188\pi\) |
−0.654030 | + | 0.756469i | \(0.726923\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 5.99941 | + | 2.18361i | 0.857059 | + | 0.311944i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −0.970441 | − | 4.77505i | −0.135889 | − | 0.668641i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 14.2600 | 1.95876 | 0.979380 | − | 0.202027i | \(-0.0647529\pi\) | ||||
0.979380 | + | 0.202027i | \(0.0647529\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 10.3221 | 1.39184 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 4.24534 | − | 3.75436i | 0.562309 | − | 0.497277i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 1.69317 | + | 0.616264i | 0.220432 | + | 0.0802307i | 0.449875 | − | 0.893091i | \(-0.351468\pi\) |
−0.229443 | + | 0.973322i | \(0.573691\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −1.27314 | + | 7.22031i | −0.163008 | + | 0.924466i | 0.788086 | + | 0.615565i | \(0.211072\pi\) |
−0.951094 | + | 0.308901i | \(0.900039\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −1.72209 | + | 1.60451i | −0.216962 | + | 0.202149i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −8.25151 | + | 3.00331i | −1.02347 | + | 0.372514i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 7.76236 | − | 6.51339i | 0.948323 | − | 0.795737i | −0.0306914 | − | 0.999529i | \(-0.509771\pi\) |
0.979014 | + | 0.203791i | \(0.0653265\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −0.295165 | + | 1.97214i | −0.0355337 | + | 0.237418i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 5.54743 | + | 9.60843i | 0.658359 | + | 1.14031i | 0.981040 | + | 0.193803i | \(0.0620824\pi\) |
−0.322682 | + | 0.946508i | \(0.604584\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 4.31723 | − | 7.47766i | 0.505293 | − | 0.875194i | −0.494688 | − | 0.869071i | \(-0.664718\pi\) |
0.999981 | − | 0.00612295i | \(-0.00194901\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −7.81158 | − | 12.7534i | −0.902003 | − | 1.47264i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 0.380849 | + | 2.15990i | 0.0434017 | + | 0.246143i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 0.504702 | + | 0.423495i | 0.0567834 | + | 0.0476470i | 0.670738 | − | 0.741695i | \(-0.265978\pi\) |
−0.613954 | + | 0.789342i | \(0.710422\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 2.47340 | + | 8.65346i | 0.274822 | + | 0.961495i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −9.80329 | − | 8.22594i | −1.07605 | − | 0.902914i | −0.0804638 | − | 0.996758i | \(-0.525640\pi\) |
−0.995587 | + | 0.0938438i | \(0.970085\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 1.80384 | + | 10.2301i | 0.195654 | + | 1.10961i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 3.86220 | + | 6.30554i | 0.414072 | + | 0.676025i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 4.53244 | − | 7.85041i | 0.480437 | − | 0.832142i | −0.519311 | − | 0.854585i | \(-0.673811\pi\) |
0.999748 | + | 0.0224438i | \(0.00714467\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.932890 | − | 1.61581i | −0.0977935 | − | 0.169383i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 1.73116 | − | 11.5667i | 0.179513 | − | 1.19941i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −9.25529 | + | 7.76611i | −0.949573 | + | 0.796786i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 4.09676 | − | 1.49110i | 0.415962 | − | 0.151398i | −0.125557 | − | 0.992086i | \(-0.540072\pi\) |
0.541519 | + | 0.840689i | \(0.317849\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 8.01879 | + | 2.45531i | 0.805919 | + | 0.246768i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −0.172914 | + | 0.980644i | −0.0172056 | + | 0.0975777i | −0.992201 | − | 0.124646i | \(-0.960220\pi\) |
0.974996 | + | 0.222224i | \(0.0713316\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 5.12606 | + | 1.86573i | 0.505086 | + | 0.183836i | 0.581980 | − | 0.813203i | \(-0.302278\pi\) |
−0.0768942 | + | 0.997039i | \(0.524500\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 3.75884 | − | 3.32412i | 0.366825 | − | 0.324401i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −17.4135 | −1.68342 | −0.841711 | − | 0.539928i | \(-0.818451\pi\) | ||||
−0.841711 | + | 0.539928i | \(0.818451\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −8.95114 | −0.857364 | −0.428682 | − | 0.903455i | \(-0.641022\pi\) | ||||
−0.428682 | + | 0.903455i | \(0.641022\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 3.27459 | + | 16.1126i | 0.310811 | + | 1.52934i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −0.693703 | − | 0.252487i | −0.0652581 | − | 0.0237520i | 0.309185 | − | 0.951002i | \(-0.399944\pi\) |
−0.374443 | + | 0.927250i | \(0.622166\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.738209 | − | 4.18659i | 0.0688383 | − | 0.390401i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −7.12462 | + | 0.370357i | −0.658671 | + | 0.0342395i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −2.07408 | + | 0.754904i | −0.190131 | + | 0.0692020i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −2.44032 | + | 2.04767i | −0.221847 | + | 0.186152i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 8.92675 | − | 3.51416i | 0.804898 | − | 0.316861i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 6.71044 | + | 11.6228i | 0.600200 | + | 1.03958i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 8.39687 | − | 14.5438i | 0.745102 | − | 1.29055i | −0.205046 | − | 0.978752i | \(-0.565734\pi\) |
0.950147 | − | 0.311801i | \(-0.100932\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −14.4184 | + | 0.374501i | −1.26947 | + | 0.0329730i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 2.80858 | + | 15.9283i | 0.245387 | + | 1.39166i | 0.819592 | + | 0.572947i | \(0.194200\pi\) |
−0.574205 | + | 0.818711i | \(0.694689\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −1.96654 | − | 1.65012i | −0.170521 | − | 0.143084i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −4.79219 | − | 18.5787i | −0.412446 | − | 1.59900i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −14.7541 | − | 12.3802i | −1.26053 | − | 1.05771i | −0.995625 | − | 0.0934368i | \(-0.970215\pi\) |
−0.264906 | − | 0.964274i | \(-0.585341\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −2.45669 | − | 13.9326i | −0.208374 | − | 1.18174i | −0.892042 | − | 0.451952i | \(-0.850728\pi\) |
0.683669 | − | 0.729793i | \(-0.260383\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 9.73276 | − | 17.9165i | 0.819647 | − | 1.50884i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −3.32387 | + | 5.75711i | −0.277956 | + | 0.481434i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −7.88191 | − | 13.6519i | −0.654557 | − | 1.13373i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −8.65276 | − | 6.88571i | −0.713668 | − | 0.567924i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 4.00955 | − | 3.36441i | 0.328475 | − | 0.275623i | −0.463603 | − | 0.886043i | \(-0.653444\pi\) |
0.792078 | + | 0.610420i | \(0.208999\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 2.08707 | − | 0.759631i | 0.169843 | − | 0.0618179i | −0.255699 | − | 0.966756i | \(-0.582306\pi\) |
0.425542 | + | 0.904939i | \(0.360083\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −1.03209 | + | 8.37636i | −0.0834397 | + | 0.677188i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −4.32963 | + | 24.5546i | −0.347764 | + | 1.97227i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −5.74887 | − | 2.09242i | −0.458809 | − | 0.166993i | 0.102267 | − | 0.994757i | \(-0.467390\pi\) |
−0.561076 | + | 0.827764i | \(0.689613\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −23.4210 | − | 7.84208i | −1.85741 | − | 0.621917i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 0.903278 | 0.0711883 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 10.0142 | 0.784369 | 0.392184 | − | 0.919887i | \(-0.371720\pi\) | ||||
0.392184 | + | 0.919887i | \(0.371720\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −16.9534 | − | 5.67651i | −1.31982 | − | 0.441916i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −14.1784 | − | 5.16052i | −1.09716 | − | 0.399333i | −0.270890 | − | 0.962610i | \(-0.587318\pi\) |
−0.826268 | + | 0.563277i | \(0.809540\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −1.27540 | + | 7.23316i | −0.0981077 | + | 0.556397i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −9.03733 | + | 3.83160i | −0.691102 | + | 0.293010i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −18.2705 | + | 6.64991i | −1.38908 | + | 0.505583i | −0.924918 | − | 0.380168i | \(-0.875866\pi\) |
−0.464161 | + | 0.885751i | \(0.653644\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −5.18957 | + | 4.35457i | −0.392295 | + | 0.329174i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −2.44201 | − | 1.94330i | −0.183552 | − | 0.146068i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −5.76902 | − | 9.99223i | −0.431197 | − | 0.746855i | 0.565780 | − | 0.824556i | \(-0.308575\pi\) |
−0.996977 | + | 0.0777016i | \(0.975242\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 1.11311 | − | 1.92797i | 0.0827372 | − | 0.143305i | −0.821688 | − | 0.569938i | \(-0.806967\pi\) |
0.904425 | + | 0.426633i | \(0.140300\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 6.06174 | − | 11.1587i | 0.448097 | − | 0.824875i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −6.08676 | − | 34.5197i | −0.447507 | − | 2.53794i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 6.02431 | + | 5.05500i | 0.440541 | + | 0.369658i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 3.71078 | − | 1.68825i | 0.269919 | − | 0.122802i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −13.0184 | − | 10.9237i | −0.941979 | − | 0.790415i | 0.0359493 | − | 0.999354i | \(-0.488555\pi\) |
−0.977929 | + | 0.208939i | \(0.932999\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −3.89009 | − | 22.0618i | −0.280015 | − | 1.58804i | −0.722567 | − | 0.691301i | \(-0.757038\pi\) |
0.442552 | − | 0.896743i | \(-0.354073\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 15.2041 | − | 0.394910i | 1.08879 | − | 0.0282801i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −3.55722 | + | 6.16128i | −0.253441 | + | 0.438973i | −0.964471 | − | 0.264189i | \(-0.914896\pi\) |
0.711030 | + | 0.703162i | \(0.248229\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 1.05224 | + | 1.82253i | 0.0745912 | + | 0.129196i | 0.900908 | − | 0.434009i | \(-0.142901\pi\) |
−0.826317 | + | 0.563205i | \(0.809568\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −16.3311 | + | 6.42898i | −1.15190 | + | 0.453465i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 2.56583 | − | 2.15299i | 0.180086 | − | 0.151110i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −19.2188 | + | 6.99507i | −1.34230 | + | 0.488557i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 1.56934 | − | 3.07677i | 0.109077 | − | 0.213851i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −1.58830 | + | 9.00769i | −0.109865 | + | 0.623075i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 16.6641 | + | 6.06522i | 1.14720 | + | 0.417547i | 0.844509 | − | 0.535541i | \(-0.179892\pi\) |
0.302692 | + | 0.953088i | \(0.402115\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −3.82723 | − | 18.8319i | −0.262238 | − | 1.29034i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 30.7486 | 2.09703 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −5.29777 | −0.359636 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −11.2030 | + | 9.90732i | −0.757026 | + | 0.669474i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −6.28663 | − | 2.28815i | −0.422884 | − | 0.153917i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −2.85695 | + | 16.2026i | −0.191315 | + | 1.08500i | 0.726254 | + | 0.687427i | \(0.241260\pi\) |
−0.917569 | + | 0.397577i | \(0.869851\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 5.81640 | + | 25.2424i | 0.387760 | + | 1.68283i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 26.6238 | − | 9.69027i | 1.76708 | − | 0.643166i | 0.767086 | − | 0.641545i | \(-0.221706\pi\) |
0.999999 | − | 0.00162118i | \(-0.000516037\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 21.7100 | − | 18.2169i | 1.43464 | − | 1.20381i | 0.491734 | − | 0.870746i | \(-0.336363\pi\) |
0.942906 | − | 0.333060i | \(-0.108081\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0.562290 | − | 3.75692i | 0.0369960 | − | 0.247187i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −0.199672 | − | 0.345842i | −0.0130809 | − | 0.0226569i | 0.859411 | − | 0.511286i | \(-0.170831\pi\) |
−0.872492 | + | 0.488629i | \(0.837497\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −21.7338 | + | 37.6440i | −1.41775 | + | 2.45562i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −0.596042 | − | 0.973115i | −0.0387171 | − | 0.0632106i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 0.462767 | + | 2.62448i | 0.0299339 | + | 0.169764i | 0.996110 | − | 0.0881201i | \(-0.0280859\pi\) |
−0.966176 | + | 0.257884i | \(0.916975\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −10.4298 | − | 8.75168i | −0.671845 | − | 0.563745i | 0.241766 | − | 0.970335i | \(-0.422274\pi\) |
−0.913611 | + | 0.406589i | \(0.866718\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 0.696462 | − | 15.5729i | 0.0446781 | − | 0.999001i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 18.0592 | + | 15.1535i | 1.15376 | + | 0.968120i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −1.35117 | − | 7.66288i | −0.0859731 | − | 0.487578i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 11.5775 | + | 18.9017i | 0.733692 | + | 1.19785i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −1.07612 | + | 1.86390i | −0.0679242 | + | 0.117648i | −0.897987 | − | 0.440021i | \(-0.854971\pi\) |
0.830063 | + | 0.557669i | \(0.188304\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −1.60918 | − | 2.78718i | −0.101168 | − | 0.175229i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 2.66321 | − | 17.7942i | 0.166777 | − | 1.11431i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 16.9755 | − | 14.2441i | 1.05890 | − | 0.888523i | 0.0648994 | − | 0.997892i | \(-0.479327\pi\) |
0.994001 | + | 0.109369i | \(0.0348829\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 6.99865 | − | 2.54730i | 0.434875 | − | 0.158282i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −2.87575 | − | 12.4804i | −0.178004 | − | 0.772515i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −1.18018 | + | 6.69313i | −0.0727730 | + | 0.412716i | 0.926558 | + | 0.376151i | \(0.122753\pi\) |
−0.999331 | + | 0.0365650i | \(0.988358\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 49.4796 | + | 18.0091i | 3.03951 | + | 1.10629i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −11.7614 | + | 10.4012i | −0.719787 | + | 0.636542i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −4.37982 | −0.267042 | −0.133521 | − | 0.991046i | \(-0.542628\pi\) | ||||
−0.133521 | + | 0.991046i | \(0.542628\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 18.1524 | 1.10268 | 0.551341 | − | 0.834280i | \(-0.314116\pi\) | ||||
0.551341 | + | 0.834280i | \(0.314116\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0.643612 | + | 3.16689i | 0.0389532 | + | 0.191669i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 22.6818 | + | 8.25549i | 1.36776 | + | 0.497825i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −4.04143 | + | 22.9201i | −0.242826 | + | 1.37713i | 0.582662 | + | 0.812714i | \(0.302011\pi\) |
−0.825488 | + | 0.564420i | \(0.809100\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −9.20424 | + | 18.0454i | −0.551044 | + | 1.08035i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 1.60746 | − | 0.585066i | 0.0958928 | − | 0.0349021i | −0.293628 | − | 0.955920i | \(-0.594863\pi\) |
0.389521 | + | 0.921018i | \(0.372641\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −5.74480 | + | 4.82046i | −0.341493 | + | 0.286547i | −0.797363 | − | 0.603499i | \(-0.793773\pi\) |
0.455870 | + | 0.890046i | \(0.349328\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 19.4720 | − | 7.66546i | 1.15342 | − | 0.454063i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −2.17282 | − | 3.76343i | −0.128257 | − | 0.222148i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 4.54286 | − | 7.86846i | 0.267227 | − | 0.462851i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −7.54863 | + | 0.196067i | −0.442509 | + | 0.0114936i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −3.43831 | − | 19.4996i | −0.200868 | − | 1.13918i | −0.903810 | − | 0.427934i | \(-0.859242\pi\) |
0.702942 | − | 0.711248i | \(-0.251870\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 5.09672 | + | 4.27665i | 0.296742 | + | 0.248996i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −11.8200 | − | 8.44249i | −0.685868 | − | 0.489883i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 2.09733 | + | 1.75987i | 0.121292 | + | 0.101776i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 1.13451 | + | 6.43412i | 0.0653920 | + | 0.370856i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 0.823290 | − | 1.51555i | 0.0472968 | − | 0.0870659i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −13.5362 | + | 23.4454i | −0.775079 | + | 1.34248i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −15.1634 | − | 26.2638i | −0.865422 | − | 1.49895i | −0.866628 | − | 0.498955i | \(-0.833717\pi\) |
0.00120595 | − | 0.999999i | \(-0.499616\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −7.39316 | − | 5.88334i | −0.420582 | − | 0.334692i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 4.51159 | − | 3.78567i | 0.255829 | − | 0.214666i | −0.505849 | − | 0.862622i | \(-0.668821\pi\) |
0.761677 | + | 0.647956i | \(0.224376\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −30.3326 | + | 11.0402i | −1.71450 | + | 0.624027i | −0.997341 | − | 0.0728818i | \(-0.976780\pi\) |
−0.717160 | + | 0.696909i | \(0.754558\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −8.00168 | + | 3.39251i | −0.450844 | + | 0.191146i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −2.15961 | + | 12.2478i | −0.121296 | + | 0.687902i | 0.862144 | + | 0.506664i | \(0.169122\pi\) |
−0.983439 | + | 0.181238i | \(0.941990\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −11.2143 | − | 4.08168i | −0.627882 | − | 0.228530i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 28.6004 | + | 9.57629i | 1.59632 | + | 0.534496i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −9.20493 | −0.512176 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −20.5338 | −1.13901 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 14.7016 | + | 4.92255i | 0.813001 | + | 0.272218i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −8.67887 | − | 3.15885i | −0.478482 | − | 0.174153i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 2.30816 | − | 13.0902i | 0.126868 | − | 0.719503i | −0.853313 | − | 0.521399i | \(-0.825410\pi\) |
0.980181 | − | 0.198104i | \(-0.0634784\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 3.48262 | − | 28.2646i | 0.190847 | − | 1.54889i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 35.1599 | − | 12.7971i | 1.92099 | − | 0.699182i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 12.7465 | − | 10.6956i | 0.694347 | − | 0.582626i | −0.225812 | − | 0.974171i | \(-0.572504\pi\) |
0.920159 | + | 0.391545i | \(0.128059\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 1.00051 | + | 0.796185i | 0.0543400 | + | 0.0432428i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 9.43793 | + | 16.3470i | 0.511092 | + | 0.885238i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −5.25055 | + | 9.09422i | −0.283503 | + | 0.491042i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −3.51481 | + | 6.47020i | −0.189231 | + | 0.348344i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −4.64888 | − | 26.3651i | −0.249565 | − | 1.41535i | −0.809648 | − | 0.586916i | \(-0.800342\pi\) |
0.560083 | − | 0.828436i | \(-0.310769\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −1.16438 | − | 0.977030i | −0.0623278 | − | 0.0522992i | 0.611092 | − | 0.791560i | \(-0.290731\pi\) |
−0.673419 | + | 0.739261i | \(0.735175\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 11.9053 | + | 3.30980i | 0.635460 | + | 0.176664i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −8.76553 | − | 7.35516i | −0.466542 | − | 0.391475i | 0.378989 | − | 0.925401i | \(-0.376272\pi\) |
−0.845531 | + | 0.533926i | \(0.820716\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 7.11400 | + | 40.3455i | 0.377572 | + | 2.14132i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 3.82168 | − | 0.0992637i | 0.202265 | − | 0.00525359i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 1.09908 | − | 1.90366i | 0.0580073 | − | 0.100472i | −0.835564 | − | 0.549394i | \(-0.814859\pi\) |
0.893571 | + | 0.448922i | \(0.148192\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 4.14698 | + | 7.18278i | 0.218262 | + | 0.378041i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 5.13413 | − | 2.02113i | 0.269472 | − | 0.106082i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 24.4236 | − | 20.4939i | 1.27839 | − | 1.07270i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −25.2409 | + | 9.18693i | −1.31756 | + | 0.479554i | −0.902677 | − | 0.430320i | \(-0.858401\pi\) |
−0.414886 | + | 0.909873i | \(0.636179\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −16.5941 | + | 0.862607i | −0.863855 | + | 0.0449055i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −1.94278 | + | 11.0181i | −0.100864 | + | 0.572029i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 0.827349 | + | 0.301130i | 0.0428385 | + | 0.0155919i | 0.363351 | − | 0.931653i | \(-0.381633\pi\) |
−0.320512 | + | 0.947244i | \(0.603855\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −4.62961 | − | 22.7800i | −0.239072 | − | 1.17635i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 10.1523 | 0.522872 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −0.359229 | −0.0184524 | −0.00922619 | − | 0.999957i | \(-0.502937\pi\) | ||||
−0.00922619 | + | 0.999957i | \(0.502937\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −21.7894 | + | 19.2694i | −1.11631 | + | 0.987202i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −9.66660 | − | 3.51836i | −0.493940 | − | 0.179780i | 0.0830262 | − | 0.996547i | \(-0.473541\pi\) |
−0.576967 | + | 0.816768i | \(0.695764\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −1.40629 | + | 7.97545i | −0.0716710 | + | 0.406466i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 23.8872 | + | 7.31411i | 1.21425 | + | 0.371797i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −8.86628 | + | 3.22706i | −0.449538 | + | 0.163619i | −0.556861 | − | 0.830606i | \(-0.687994\pi\) |
0.107323 | + | 0.994224i | \(0.465772\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 2.48112 | − | 2.08190i | 0.125475 | − | 0.105286i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 4.14663 | − | 27.7056i | 0.209170 | − | 1.39756i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 1.21639 | + | 2.10685i | 0.0612032 | + | 0.106007i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −5.15730 | + | 8.93271i | −0.258837 | + | 0.448320i | −0.965931 | − | 0.258801i | \(-0.916673\pi\) |
0.707093 | + | 0.707120i | \(0.250006\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 2.32244 | + | 3.79168i | 0.116267 | + | 0.189821i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −0.293768 | − | 1.66604i | −0.0146701 | − | 0.0831982i | 0.976594 | − | 0.215092i | \(-0.0690052\pi\) |
−0.991264 | + | 0.131894i | \(0.957894\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −12.3010 | − | 10.3217i | −0.612755 | − | 0.514162i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −2.34629 | + | 33.1496i | −0.116588 | + | 1.64722i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −20.3281 | − | 17.0573i | −1.00762 | − | 0.845497i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −1.33335 | − | 7.56178i | −0.0659297 | − | 0.373906i | −0.999864 | − | 0.0164625i | \(-0.994760\pi\) |
0.933935 | − | 0.357444i | \(-0.116352\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 17.4243 | + | 28.4474i | 0.859477 | + | 1.40321i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −0.706837 | + | 1.22428i | −0.0347812 | + | 0.0602428i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −23.6270 | − | 40.9232i | −1.15981 | − | 2.00884i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −3.62709 | + | 24.2343i | −0.177619 | + | 1.18676i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 6.04653 | − | 5.07364i | 0.295392 | − | 0.247864i | −0.483031 | − | 0.875603i | \(-0.660464\pi\) |
0.778423 | + | 0.627740i | \(0.216020\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −14.8809 | + | 5.41621i | −0.725251 | + | 0.263970i | −0.678153 | − | 0.734920i | \(-0.737219\pi\) |
−0.0470978 | + | 0.998890i | \(0.514997\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −25.8383 | + | 24.0741i | −1.25630 | + | 1.17052i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −4.21812 | + | 23.9222i | −0.204609 | + | 1.16040i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −5.40536 | − | 1.96739i | −0.261584 | − | 0.0952087i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 8.62526 | − | 7.62773i | 0.416431 | − | 0.368270i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −20.9171 | −1.00754 | −0.503770 | − | 0.863838i | \(-0.668054\pi\) | ||||
−0.503770 | + | 0.863838i | \(0.668054\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 9.36489 | 0.450048 | 0.225024 | − | 0.974353i | \(-0.427754\pi\) | ||||
0.225024 | + | 0.974353i | \(0.427754\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 5.43782 | + | 26.7567i | 0.260723 | + | 1.28289i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 3.53987 | + | 1.28841i | 0.169335 | + | 0.0616329i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 3.92216 | − | 22.2437i | 0.187195 | − | 1.06163i | −0.735909 | − | 0.677081i | \(-0.763245\pi\) |
0.923103 | − | 0.384552i | \(-0.125644\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 10.4248 | + | 16.0678i | 0.496421 | + | 0.765131i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −38.4509 | + | 13.9950i | −1.82686 | + | 0.664922i | −0.833132 | + | 0.553075i | \(0.813454\pi\) |
−0.993725 | + | 0.111847i | \(0.964323\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 25.6411 | − | 21.5155i | 1.21551 | − | 1.01993i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −8.43560 | + | 3.32081i | −0.398990 | + | 0.157069i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 8.21768 | + | 14.2334i | 0.387816 | + | 0.671718i | 0.992156 | − | 0.125010i | \(-0.0398962\pi\) |
−0.604339 | + | 0.796727i | \(0.706563\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −7.74170 | + | 13.4090i | −0.364542 | + | 0.631406i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −3.84561 | + | 0.0998852i | −0.180682 | + | 0.00469302i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −1.19633 | − | 6.78475i | −0.0560850 | − | 0.318074i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 19.9037 | + | 16.7012i | 0.931056 | + | 0.781249i | 0.976007 | − | 0.217741i | \(-0.0698687\pi\) |
−0.0449508 | + | 0.998989i | \(0.514313\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 6.30159 | − | 13.1900i | 0.294133 | − | 0.615655i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 13.6701 | + | 11.4705i | 0.636678 | + | 0.534236i | 0.902996 | − | 0.429649i | \(-0.141363\pi\) |
−0.266318 | + | 0.963885i | \(0.585807\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −4.05701 | − | 23.0084i | −0.188545 | − | 1.06929i | −0.921315 | − | 0.388816i | \(-0.872884\pi\) |
0.732770 | − | 0.680476i | \(-0.238227\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 20.6145 | − | 37.9481i | 0.955976 | − | 1.75980i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 5.34976 | − | 9.26605i | 0.247557 | − | 0.428782i | −0.715290 | − | 0.698827i | \(-0.753706\pi\) |
0.962847 | + | 0.270046i | \(0.0870389\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 3.97506 | + | 6.88501i | 0.183551 | + | 0.317920i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 8.29141 | + | 6.59815i | 0.382048 | + | 0.304027i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 17.8322 | − | 14.9630i | 0.819925 | − | 0.687999i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −26.5487 | + | 9.66294i | −1.21814 | + | 0.443366i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 34.1547 | + | 25.7601i | 1.56384 | + | 1.17947i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 7.31754 | − | 41.4998i | 0.334347 | − | 1.89617i | −0.0992413 | − | 0.995063i | \(-0.531642\pi\) |
0.433588 | − | 0.901111i | \(-0.357247\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 21.2132 | + | 7.72098i | 0.967239 | + | 0.352046i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −1.48357 | − | 0.496745i | −0.0675048 | − | 0.0226027i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 16.0981 | 0.730979 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 13.2206 | 0.599081 | 0.299540 | − | 0.954084i | \(-0.403167\pi\) | ||||
0.299540 | + | 0.954084i | \(0.403167\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −16.4475 | − | 5.50714i | −0.743783 | − | 0.249042i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −4.06541 | − | 1.47969i | −0.183470 | − | 0.0667775i | 0.248652 | − | 0.968593i | \(-0.420013\pi\) |
−0.432121 | + | 0.901815i | \(0.642235\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 2.08553 | − | 11.8276i | 0.0939274 | − | 0.532689i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 24.7230 | + | 18.6465i | 1.11121 | + | 0.838099i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −8.17979 | + | 2.97720i | −0.366914 | + | 0.133546i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 17.4218 | − | 14.6186i | 0.779908 | − | 0.654421i | −0.163317 | − | 0.986574i | \(-0.552219\pi\) |
0.943226 | + | 0.332153i | \(0.107775\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 20.4491 | + | 16.2730i | 0.913597 | + | 0.727024i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 2.95861 | + | 5.12446i | 0.131918 | + | 0.228488i | 0.924416 | − | 0.381386i | \(-0.124553\pi\) |
−0.792498 | + | 0.609874i | \(0.791220\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −1.83845 | + | 3.18429i | −0.0818099 | + | 0.141699i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 6.07253 | − | 11.1786i | 0.269690 | − | 0.496457i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 1.40592 | + | 7.97339i | 0.0623165 | + | 0.353414i | 0.999983 | + | 0.00587734i | \(0.00187083\pi\) |
−0.937666 | + | 0.347537i | \(0.887018\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 5.18947 | + | 4.35448i | 0.229569 | + | 0.192631i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 16.9503 | − | 1.32317i | 0.748374 | − | 0.0584195i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 15.4303 | + | 12.9475i | 0.679939 | + | 0.570537i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 5.71427 | + | 32.4073i | 0.251314 | + | 1.42527i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 33.6650 | − | 0.874408i | 1.47773 | − | 0.0383823i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −1.21522 | + | 2.10482i | −0.0532398 | + | 0.0922140i | −0.891417 | − | 0.453184i | \(-0.850288\pi\) |
0.838177 | + | 0.545398i | \(0.183621\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 8.49730 | + | 14.7178i | 0.371561 | + | 0.643563i | 0.989806 | − | 0.142423i | \(-0.0454893\pi\) |
−0.618245 | + | 0.785986i | \(0.712156\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 10.9182 | − | 4.29813i | 0.476511 | − | 0.187586i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −14.5519 | + | 12.2105i | −0.633889 | + | 0.531896i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 20.3674 | − | 7.41312i | 0.885538 | − | 0.322310i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 2.94213 | + | 4.53468i | 0.127677 | + | 0.196789i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 2.28726 | − | 12.9717i | 0.0990722 | − | 0.561866i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −60.4216 | − | 21.9917i | −2.61225 | − | 0.950783i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 3.98011 | + | 19.5841i | 0.171755 | + | 0.845117i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 17.8472 | 0.768734 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 4.67548 | 0.201015 | 0.100507 | − | 0.994936i | \(-0.467953\pi\) | ||||
0.100507 | + | 0.994936i | \(0.467953\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −2.88847 | + | 2.55441i | −0.123956 | + | 0.109620i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −31.0589 | − | 11.3045i | −1.33042 | − | 0.484232i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 2.32170 | − | 13.1670i | 0.0992686 | − | 0.562980i | −0.894087 | − | 0.447894i | \(-0.852174\pi\) |
0.993355 | − | 0.115087i | \(-0.0367145\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −16.0926 | + | 14.9938i | −0.686813 | + | 0.639920i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 13.1262 | − | 4.77756i | 0.559196 | − | 0.203531i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −0.395977 | + | 0.332264i | −0.0168386 | + | 0.0141293i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −8.98657 | + | 60.0435i | −0.381459 | + | 2.54870i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 13.7017 | + | 23.7321i | 0.580561 | + | 1.00556i | 0.995413 | + | 0.0956725i | \(0.0305002\pi\) |
−0.414852 | + | 0.909889i | \(0.636167\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −9.90147 | + | 17.1498i | −0.418787 | + | 0.725361i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −7.11457 | − | 11.6155i | −0.300378 | − | 0.490405i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −1.25534 | − | 7.11937i | −0.0529061 | − | 0.300046i | 0.946861 | − | 0.321644i | \(-0.104236\pi\) |
−0.999767 | + | 0.0215986i | \(0.993124\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −2.08816 | − | 1.75217i | −0.0878495 | − | 0.0737145i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −7.02311 | + | 0.732140i | −0.294943 | + | 0.0307470i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −10.9664 | − | 9.20193i | −0.459737 | − | 0.385765i | 0.383297 | − | 0.923625i | \(-0.374788\pi\) |
−0.843034 | + | 0.537860i | \(0.819233\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −1.60526 | − | 9.10386i | −0.0671779 | − | 0.380985i | −0.999797 | − | 0.0201238i | \(-0.993594\pi\) |
0.932620 | − | 0.360861i | \(-0.117517\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 15.3745 | + | 25.1008i | 0.642277 | + | 1.04860i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 4.97051 | − | 8.60917i | 0.207284 | − | 0.359027i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −11.4500 | − | 19.8320i | −0.476671 | − | 0.825618i | 0.522972 | − | 0.852350i | \(-0.324823\pi\) |
−0.999643 | + | 0.0267323i | \(0.991490\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −5.74338 | + | 38.3742i | −0.238687 | + | 1.59478i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 7.69141 | − | 6.45386i | 0.319094 | − | 0.267751i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 37.4587 | − | 13.6338i | 1.55138 | − | 0.564656i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −25.1889 | − | 7.71269i | −1.04143 | − | 0.318881i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −1.80298 | + | 10.2252i | −0.0744171 | + | 0.422040i | 0.924725 | + | 0.380635i | \(0.124295\pi\) |
−0.999142 | + | 0.0414052i | \(0.986817\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −20.7615 | − | 7.55658i | −0.855464 | − | 0.311363i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 9.23078 | − | 8.16322i | 0.379704 | − | 0.335790i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 8.03385 | 0.329911 | 0.164955 | − | 0.986301i | \(-0.447252\pi\) | ||||
0.164955 | + | 0.986301i | \(0.447252\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −8.15008 | −0.334121 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −0.725951 | − | 3.57204i | −0.0297112 | − | 0.146194i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 3.56554 | + | 1.29775i | 0.145684 | + | 0.0530247i | 0.413833 | − | 0.910353i | \(-0.364190\pi\) |
−0.268149 | + | 0.963377i | \(0.586412\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −1.65470 | + | 9.38427i | −0.0674966 | + | 0.382792i | 0.932282 | + | 0.361733i | \(0.117815\pi\) |
−0.999778 | + | 0.0210590i | \(0.993296\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 30.3581 | − | 1.57810i | 1.23628 | − | 0.0642651i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −11.0535 | + | 4.02314i | −0.449388 | + | 0.163564i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −24.9254 | + | 20.9149i | −1.01169 | + | 0.848911i | −0.988561 | − | 0.150822i | \(-0.951808\pi\) |
−0.0231313 | + | 0.999732i | \(0.507364\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −5.39820 | + | 2.12509i | −0.218746 | + | 0.0861128i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −13.9971 | − | 24.2438i | −0.566264 | − | 0.980798i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 7.36210 | − | 12.7515i | 0.297353 | − | 0.515030i | −0.678177 | − | 0.734899i | \(-0.737230\pi\) |
0.975529 | + | 0.219869i | \(0.0705630\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 35.4123 | − | 0.919794i | 1.42796 | − | 0.0370897i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 3.24374 | + | 18.3962i | 0.130588 | + | 0.740603i | 0.977831 | + | 0.209396i | \(0.0671499\pi\) |
−0.847243 | + | 0.531206i | \(0.821739\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −32.6479 | − | 27.3949i | −1.31223 | − | 1.10109i | −0.987891 | − | 0.155152i | \(-0.950413\pi\) |
−0.324340 | − | 0.945940i | \(-0.605142\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −4.26955 | + | 4.19035i | −0.171331 | + | 0.168153i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 5.44816 | + | 4.57155i | 0.218276 | + | 0.183155i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 1.10850 | + | 6.28660i | 0.0443399 | + | 0.251464i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 7.56232 | − | 13.9210i | 0.302010 | − | 0.555952i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 13.3527 | − | 23.1276i | 0.532408 | − | 0.922158i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −12.1590 | − | 21.0600i | −0.484041 | − | 0.838384i | 0.515791 | − | 0.856715i | \(-0.327498\pi\) |
−0.999832 | + | 0.0183305i | \(0.994165\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −24.0340 | − | 19.1259i | −0.955267 | − | 0.760185i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 47.5032 | − | 39.8599i | 1.88511 | − | 1.58179i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −14.2671 | + | 5.19279i | −0.565282 | + | 0.205746i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −4.07037 | + | 33.0348i | −0.161021 | + | 1.30683i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −3.28469 | + | 18.6284i | −0.129738 | + | 0.735778i | 0.848643 | + | 0.528966i | \(0.177420\pi\) |
−0.978381 | + | 0.206812i | \(0.933691\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 21.0384 | + | 7.65736i | 0.829675 | + | 0.301977i | 0.721725 | − | 0.692180i | \(-0.243349\pi\) |
0.107949 | + | 0.994156i | \(0.465572\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −50.5023 | − | 16.9097i | −1.98853 | − | 0.665820i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 30.4106 | 1.19557 | 0.597783 | − | 0.801658i | \(-0.296049\pi\) | ||||
0.597783 | + | 0.801658i | \(0.296049\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 5.03689 | 0.197715 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 8.70121 | + | 2.91344i | 0.341027 | + | 0.114187i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 1.13344 | + | 0.412538i | 0.0443549 | + | 0.0161439i | 0.364102 | − | 0.931359i | \(-0.381376\pi\) |
−0.319747 | + | 0.947503i | \(0.603598\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −10.3707 | + | 58.8152i | −0.405217 | + | 2.29810i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 23.8485 | − | 10.1111i | 0.930417 | − | 0.394473i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −16.7806 | + | 6.10765i | −0.653680 | + | 0.237920i | −0.647505 | − | 0.762061i | \(-0.724188\pi\) |
−0.00617474 | + | 0.999981i | \(0.501965\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −11.1710 | + | 9.37360i | −0.434503 | + | 0.364591i | −0.833647 | − | 0.552297i | \(-0.813751\pi\) |
0.399145 | + | 0.916888i | \(0.369307\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 9.06700 | + | 7.21536i | 0.352133 | + | 0.280221i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −4.73959 | − | 8.20920i | −0.183793 | − | 0.318339i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −2.45752 | + | 4.25655i | −0.0951555 | + | 0.164814i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 13.6027 | − | 25.0404i | 0.525911 | − | 0.968118i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 3.55895 | + | 20.1838i | 0.137392 | + | 0.779188i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −18.1409 | − | 15.2220i | −0.699281 | − | 0.586766i | 0.222288 | − | 0.974981i | \(-0.428647\pi\) |
−0.921569 | + | 0.388215i | \(0.873092\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 4.32869 | − | 44.6575i | 0.166611 | − | 1.71887i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −16.6750 | − | 13.9919i | −0.640871 | − | 0.537754i | 0.263415 | − | 0.964683i | \(-0.415151\pi\) |
−0.904285 | + | 0.426928i | \(0.859596\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0.593962 | + | 3.36853i | 0.0227942 | + | 0.129272i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −49.0567 | + | 1.27419i | −1.87986 | + | 0.0488271i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 15.6951 | − | 27.1847i | 0.600557 | − | 1.04020i | −0.392180 | − | 0.919889i | \(-0.628279\pi\) |
0.992737 | − | 0.120307i | \(-0.0383878\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −35.5592 | − | 61.5903i | −1.35865 | − | 2.35324i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −45.6753 | + | 17.9808i | −1.74262 | + | 0.686010i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −25.9776 | + | 21.7978i | −0.989669 | + | 0.830431i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −32.0483 | + | 11.6646i | −1.21918 | + | 0.443744i | −0.869877 | − | 0.493268i | \(-0.835802\pi\) |
−0.349298 | + | 0.937012i | \(0.613580\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −2.98959 | + | 5.86125i | −0.113565 | + | 0.222651i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 9.07134 | − | 51.4461i | 0.344096 | − | 1.95146i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −14.6423 | − | 5.32937i | −0.554618 | − | 0.201864i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 0.137756 | + | 0.677828i | 0.00521041 | + | 0.0256378i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 3.60207 | 0.136048 | 0.0680242 | − | 0.997684i | \(-0.478331\pi\) | ||||
0.0680242 | + | 0.997684i | \(0.478331\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 31.0605 | 1.17147 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 56.3979 | − | 49.8753i | 2.12407 | − | 1.87841i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −0.734142 | − | 0.267206i | −0.0276103 | − | 0.0100493i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −7.48149 | + | 42.4296i | −0.280973 | + | 1.59348i | 0.438351 | + | 0.898804i | \(0.355563\pi\) |
−0.719324 | + | 0.694675i | \(0.755548\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0.443805 | + | 1.92606i | 0.0166440 | + | 0.0722327i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 7.30520 | − | 2.65888i | 0.273582 | − | 0.0995757i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −18.8040 | + | 15.7784i | −0.703228 | + | 0.590079i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 0.683235 | − | 4.56502i | 0.0255159 | − | 0.170484i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 7.11515 | + | 12.3238i | 0.265350 | + | 0.459600i | 0.967655 | − | 0.252276i | \(-0.0811791\pi\) |
−0.702305 | + | 0.711876i | \(0.747846\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −2.13994 | + | 3.70649i | −0.0796957 | + | 0.138037i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 12.3174 | + | 20.1098i | 0.458089 | + | 0.747890i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −6.40108 | − | 36.3023i | −0.237730 | − | 1.34823i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 34.8085 | + | 29.2078i | 1.29097 | + | 1.08326i | 0.991630 | + | 0.129111i | \(0.0412123\pi\) |
0.299344 | + | 0.954145i | \(0.403232\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −9.70798 | + | 25.1943i | −0.359555 | + | 0.933124i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 17.9458 | + | 15.0583i | 0.663750 | + | 0.556952i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −1.66078 | − | 9.41876i | −0.0613424 | − | 0.347890i | −0.999995 | − | 0.00302696i | \(-0.999036\pi\) |
0.938653 | − | 0.344863i | \(-0.112075\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −21.3275 | − | 34.8199i | −0.786677 | − | 1.28435i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 14.1631 | − | 24.5312i | 0.521703 | − | 0.903617i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −16.9999 | − | 29.4446i | −0.625350 | − | 1.08314i | −0.988473 | − | 0.151397i | \(-0.951623\pi\) |
0.363123 | − | 0.931741i | \(-0.381710\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −1.99489 | + | 13.3288i | −0.0732841 | + | 0.489646i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −10.3002 | + | 8.64291i | −0.377878 | + | 0.317078i | −0.811869 | − | 0.583840i | \(-0.801550\pi\) |
0.433990 | + | 0.900917i | \(0.357105\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 18.1614 | − | 6.61020i | 0.665381 | − | 0.242179i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −8.62043 | − | 37.4115i | −0.315405 | − | 1.36882i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 2.37241 | − | 13.4546i | 0.0866859 | − | 0.491620i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 11.2741 | + | 4.10342i | 0.411396 | + | 0.149736i | 0.539423 | − | 0.842035i | \(-0.318642\pi\) |
−0.128027 | + | 0.991771i | \(0.540865\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 2.79248 | − | 2.46952i | 0.101763 | − | 0.0899943i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 8.20111 | 0.298469 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 16.8149 | 0.611149 | 0.305574 | − | 0.952168i | \(-0.401152\pi\) | ||||
0.305574 | + | 0.952168i | \(0.401152\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 1.11019 | + | 5.46270i | 0.0402974 | + | 0.198283i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 31.2258 | + | 11.3653i | 1.13194 | + | 0.411991i | 0.838994 | − | 0.544140i | \(-0.183144\pi\) |
0.292941 | + | 0.956131i | \(0.405366\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 1.21950 | − | 6.91615i | 0.0441490 | − | 0.250381i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −14.1598 | + | 27.7610i | −0.511948 | + | 1.00370i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −4.02649 | + | 1.46552i | −0.145388 | + | 0.0529170i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −35.6617 | + | 29.9237i | −1.28599 | + | 1.07908i | −0.293605 | + | 0.955927i | \(0.594855\pi\) |
−0.992388 | + | 0.123150i | \(0.960701\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −35.7143 | + | 14.0595i | −1.28622 | + | 0.506341i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −22.5024 | − | 38.9753i | −0.809355 | − | 1.40184i | −0.913312 | − | 0.407261i | \(-0.866484\pi\) |
0.103957 | − | 0.994582i | \(-0.466850\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −29.1523 | + | 50.4932i | −1.04718 | + | 1.81377i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −12.8956 | + | 0.334949i | −0.462628 | + | 0.0120162i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −3.14705 | − | 17.8478i | −0.112755 | − | 0.639464i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 23.7587 | + | 19.9360i | 0.850155 | + | 0.713365i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −2.14019 | + | 22.0796i | −0.0764842 | + | 0.789060i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −17.3050 | − | 14.5206i | −0.617642 | − | 0.518264i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 3.55273 | + | 20.1485i | 0.126641 | + | 0.718217i | 0.980320 | + | 0.197417i | \(0.0632552\pi\) |
−0.853679 | + | 0.520800i | \(0.825634\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 5.61916 | − | 10.3440i | 0.200047 | − | 0.368255i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 0.289596 | − | 0.501595i | 0.0102968 | − | 0.0178347i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −8.71768 | − | 15.0995i | −0.309574 | − | 0.536198i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −71.3629 | − | 56.7893i | −2.53098 | − | 2.01411i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −40.1990 | + | 33.7309i | −1.42392 | + | 1.19481i | −0.474721 | + | 0.880137i | \(0.657451\pi\) |
−0.949200 | + | 0.314674i | \(0.898105\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −31.1197 | + | 11.3266i | −1.10093 | + | 0.400707i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 25.0373 | − | 10.6152i | 0.884649 | − | 0.375069i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 4.19134 | − | 23.7703i | 0.147909 | − | 0.838835i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 3.13422 | + | 1.14076i | 0.110467 | + | 0.0402066i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 7.19354 | + | 2.40862i | 0.253225 | + | 0.0847875i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 33.6516 | 1.18313 | 0.591563 | − | 0.806259i | \(-0.298511\pi\) | ||||
0.591563 | + | 0.806259i | \(0.298511\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 47.6175 | 1.67208 | 0.836039 | − | 0.548671i | \(-0.184866\pi\) | ||||
0.836039 | + | 0.548671i | \(0.184866\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −29.8141 | − | 9.98268i | −1.04563 | − | 0.350108i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 34.7473 | + | 12.6470i | 1.21715 | + | 0.443005i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −4.73138 | + | 26.8330i | −0.165530 | + | 0.938768i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 0.684499 | − | 5.55533i | 0.0239183 | − | 0.194119i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −47.4282 | + | 17.2625i | −1.65526 | + | 0.602464i | −0.989607 | − | 0.143799i | \(-0.954068\pi\) |
−0.665650 | + | 0.746264i | \(0.731846\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 4.05054 | − | 3.39881i | 0.141193 | − | 0.118475i | −0.569456 | − | 0.822022i | \(-0.692846\pi\) |
0.710649 | + | 0.703547i | \(0.248402\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −32.7132 | − | 26.0326i | −1.13893 | − | 0.906337i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −0.311009 | − | 0.538684i | −0.0108148 | − | 0.0187319i | 0.860567 | − | 0.509337i | \(-0.170109\pi\) |
−0.871382 | + | 0.490605i | \(0.836776\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 21.3297 | − | 36.9441i | 0.740810 | − | 1.28312i | −0.211316 | − | 0.977418i | \(-0.567775\pi\) |
0.952127 | − | 0.305703i | \(-0.0988916\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 19.2423 | − | 35.4221i | 0.667509 | − | 1.22878i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 3.11888 | + | 17.6881i | 0.108063 | + | 0.612855i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −42.6793 | − | 35.8122i | −1.47698 | − | 1.23933i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 25.0411 | − | 24.5766i | 0.865548 | − | 0.849491i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 9.61657 | + | 8.06926i | 0.332001 | + | 0.278582i | 0.793515 | − | 0.608551i | \(-0.208249\pi\) |
−0.461514 | + | 0.887133i | \(0.652693\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −1.87097 | − | 10.6108i | −0.0645163 | − | 0.365890i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −2.96188 | + | 0.0769314i | −0.102013 | + | 0.00264966i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −13.5603 | + | 23.4871i | −0.466487 | + | 0.807979i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −1.24967 | − | 2.16450i | −0.0429393 | − | 0.0743730i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 12.0864 | − | 4.75799i | 0.414803 | − | 0.163294i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −8.37212 | + | 7.02504i | −0.286993 | + | 0.240815i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 51.7672 | − | 18.8417i | 1.77248 | − | 0.645129i | 0.772528 | − | 0.634981i | \(-0.218992\pi\) |
0.999949 | − | 0.0101474i | \(-0.00323007\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −36.1969 | + | 1.88161i | −1.23791 | + | 0.0643498i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 3.33870 | − | 18.9347i | 0.114048 | − | 0.646798i | −0.873169 | − | 0.487417i | \(-0.837939\pi\) |
0.987217 | − | 0.159381i | \(-0.0509498\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 6.37079 | + | 2.31878i | 0.217369 | + | 0.0791157i | 0.448409 | − | 0.893828i | \(-0.351991\pi\) |
−0.231041 | + | 0.972944i | \(0.574213\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 1.49905 | + | 7.37607i | 0.0510875 | + | 0.251376i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −36.6749 | −1.24843 | −0.624215 | − | 0.781253i | \(-0.714581\pi\) | ||||
−0.624215 | + | 0.781253i | \(0.714581\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −71.7936 | −2.44105 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −11.7885 | + | 10.4251i | −0.400357 | + | 0.354055i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 1.73067 | + | 0.629913i | 0.0587090 | + | 0.0213683i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −4.18443 | + | 23.7311i | −0.141784 | + | 0.804097i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 12.5059 | + | 3.82924i | 0.423261 | + | 0.129600i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −9.89466 | + | 3.60136i | −0.334501 | + | 0.121748i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 7.38624 | − | 6.19779i | 0.249416 | − | 0.209285i | −0.509505 | − | 0.860468i | \(-0.670171\pi\) |
0.758921 | + | 0.651183i | \(0.225727\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −5.07637 | + | 33.9176i | −0.171222 | + | 1.14401i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 13.3896 | + | 23.1914i | 0.451106 | + | 0.781339i | 0.998455 | − | 0.0555658i | \(-0.0176963\pi\) |
−0.547349 | + | 0.836905i | \(0.684363\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −25.4219 | + | 44.0320i | −0.855514 | + | 1.48179i | 0.0206538 | + | 0.999787i | \(0.493425\pi\) |
−0.876168 | + | 0.482007i | \(0.839908\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −6.01910 | − | 9.82696i | −0.202330 | − | 0.330330i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 0.729816 | + | 4.13899i | 0.0245048 | + | 0.138974i | 0.994606 | − | 0.103728i | \(-0.0330773\pi\) |
−0.970101 | + | 0.242702i | \(0.921966\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 10.0934 | + | 8.46933i | 0.338520 | + | 0.284052i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 14.7707 | + | 20.3664i | 0.494838 | + | 0.682301i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −29.5061 | − | 24.7585i | −0.987384 | − | 0.828513i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −7.39816 | − | 41.9571i | −0.247293 | − | 1.40247i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −2.47690 | − | 4.04386i | −0.0827014 | − | 0.135021i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 14.4135 | − | 24.9649i | 0.480716 | − | 0.832625i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 20.0583 | + | 34.7421i | 0.668240 | + | 1.15743i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 1.67500 | − | 11.1915i | 0.0557406 | − | 0.372429i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 6.29717 | − | 5.28395i | 0.209325 | − | 0.175645i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 52.7545 | − | 19.2011i | 1.75169 | − | 0.637561i | 0.751921 | − | 0.659253i | \(-0.229128\pi\) |
0.999765 | + | 0.0216920i | \(0.00690533\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −2.18565 | + | 2.03642i | −0.0724934 | + | 0.0675438i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 4.45180 | − | 25.2474i | 0.147495 | − | 0.836484i | −0.817835 | − | 0.575452i | \(-0.804826\pi\) |
0.965330 | − | 0.261032i | \(-0.0840628\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −33.6164 | − | 12.2354i | −1.11254 | − | 0.404932i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 35.1256 | − | 31.0633i | 1.16122 | − | 1.02692i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −12.6897 | −0.419051 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 3.84634 | 0.126879 | 0.0634395 | − | 0.997986i | \(-0.479793\pi\) | ||||
0.0634395 | + | 0.997986i | \(0.479793\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 10.4614 | + | 51.4753i | 0.344715 | + | 1.69617i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −24.7933 | − | 9.02402i | −0.816081 | − | 0.297029i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 14.2334 | − | 80.7215i | 0.467990 | − | 2.65411i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 8.90727 | + | 13.7287i | 0.292553 | + | 0.450910i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 18.7501 | − | 6.82448i | 0.615171 | − | 0.223904i | −0.0155933 | − | 0.999878i | \(-0.504964\pi\) |
0.630764 | + | 0.775974i | \(0.282741\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −16.0026 | + | 13.4278i | −0.524465 | + | 0.440078i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −9.49184 | + | 3.73661i | −0.310749 | + | 0.122331i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 14.5193 | + | 25.1481i | 0.474831 | + | 0.822432i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 3.28368 | − | 5.68751i | 0.107273 | − | 0.185803i | −0.807391 | − | 0.590016i | \(-0.799121\pi\) |
0.914665 | + | 0.404213i | \(0.132455\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 55.8905 | − | 1.45169i | 1.82392 | − | 0.0473741i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 4.92322 | + | 27.9209i | 0.160492 | + | 0.910197i | 0.953591 | + | 0.301104i | \(0.0973551\pi\) |
−0.793099 | + | 0.609093i | \(0.791534\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 4.88495 | + | 4.09896i | 0.159076 | + | 0.133480i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 15.0079 | − | 1.17154i | 0.488205 | − | 0.0381103i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 5.71400 | + | 4.79461i | 0.185680 | + | 0.155804i | 0.730889 | − | 0.682496i | \(-0.239105\pi\) |
−0.545210 | + | 0.838300i | \(0.683550\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 3.56559 | + | 20.2215i | 0.115744 | + | 0.656417i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 10.2825 | − | 18.9284i | 0.333432 | − | 0.613796i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 12.6442 | − | 21.9004i | 0.409586 | − | 0.709423i | −0.585258 | − | 0.810847i | \(-0.699007\pi\) |
0.994843 | + | 0.101424i | \(0.0323399\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −31.3759 | − | 54.3446i | −1.01530 | − | 1.75855i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 16.1741 | + | 12.8710i | 0.522833 | + | 0.416061i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 11.5757 | − | 9.71319i | 0.373800 | − | 0.313655i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −13.7149 | + | 4.99181i | −0.442416 | + | 0.161026i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −41.7077 | − | 31.4567i | −1.34401 | − | 1.01368i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 14.3642 | − | 81.4634i | 0.462400 | − | 2.62240i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −0.111711 | − | 0.0406595i | −0.00359239 | − | 0.00130752i | 0.340223 | − | 0.940345i | \(-0.389497\pi\) |
−0.343816 | + | 0.939037i | \(0.611720\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 15.1184 | + | 5.06212i | 0.485674 | + | 0.162619i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −32.6738 | −1.04855 | −0.524276 | − | 0.851548i | \(-0.675664\pi\) | ||||
−0.524276 | + | 0.851548i | \(0.675664\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 11.0998 | 0.355842 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 33.7253 | + | 11.2923i | 1.08007 | + | 0.361642i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 20.5424 | + | 7.47681i | 0.657209 | + | 0.239204i | 0.649031 | − | 0.760762i | \(-0.275175\pi\) |
0.00817808 | + | 0.999967i | \(0.497397\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 4.40027 | − | 24.9552i | 0.140633 | − | 0.797571i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −21.4393 | − | 16.1699i | −0.684503 | − | 0.516265i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −40.1717 | + | 14.6213i | −1.28128 | + | 0.466348i | −0.890855 | − | 0.454287i | \(-0.849894\pi\) |
−0.390424 | + | 0.920635i | \(0.627672\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −20.1241 | + | 16.8861i | −0.641206 | + | 0.538036i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 12.5173 | + | 9.96101i | 0.398429 | + | 0.317062i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −4.79359 | − | 8.30274i | −0.152427 | − | 0.264012i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 6.96954 | − | 12.0716i | 0.221395 | − | 0.383467i | −0.733837 | − | 0.679326i | \(-0.762272\pi\) |
0.955232 | + | 0.295859i | \(0.0956057\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −10.9898 | + | 20.2304i | −0.348749 | + | 0.641992i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 1.34939 | + | 7.65274i | 0.0427784 | + | 0.242608i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 8.13312 | + | 6.82450i | 0.257578 | + | 0.216134i | 0.762427 | − | 0.647074i | \(-0.224007\pi\) |
−0.504849 | + | 0.863208i | \(0.668452\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −21.2637 | + | 44.5074i | −0.672754 | + | 1.40815i |
(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 | 864.2.y.c.97.1 | yes | 54 | |
4.3 | odd | 2 | 864.2.y.b.97.9 | ✓ | 54 | ||
27.22 | even | 9 | inner | 864.2.y.c.481.1 | yes | 54 | |
108.103 | odd | 18 | 864.2.y.b.481.9 | yes | 54 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
864.2.y.b.97.9 | ✓ | 54 | 4.3 | odd | 2 | ||
864.2.y.b.481.9 | yes | 54 | 108.103 | odd | 18 | ||
864.2.y.c.97.1 | yes | 54 | 1.1 | even | 1 | trivial | |
864.2.y.c.481.1 | yes | 54 | 27.22 | even | 9 | inner |